{ "format": "longsmall-complete-consolidated-v1", "category": "data", "files": [ { "path": "anc/code/1.1.1/data/3723_census_blocks/block_100000000_110000000.json", "size_bytes": 11457, "sha256": "5e6477fb4c1946611e3bb73e316cd12718c0158b27f0396c6e1e171520a0b434", "mode": 420, "encoding": "utf-8", "text": "{\"lower\":100000000,\"upper\":110000000,\"prime_count\":541854,\"sha256_prime_rootcount_stream\":\"b18e7f43b40f3c7c51ab45f6ca3f9ab31cf172f295fb935c6701f1ebf50a5b66\",\"bins\":[[100000000,100042939,[1056,746,211,77,114,93,12,12,0,2,0]],[100042939,100092961,[1217,900,268,73,132,84,9,13,0,4,1]],[100092961,100143008,[1255,880,293,83,138,93,13,10,0,1,0]],[100143008,100193080,[1280,848,273,79,141,80,13,10,0,4,0]],[100193080,100243177,[1267,853,288,75,128,92,16,16,0,2,0]],[100243177,100293299,[1254,854,280,67,151,87,10,10,0,1,0]],[100293299,100343446,[1218,878,287,79,138,89,11,14,0,0,0]],[100343446,100393618,[1237,863,280,83,118,89,19,12,0,1,0]],[100393618,100443815,[1187,845,292,76,139,92,14,14,0,5,0]],[100443815,100494037,[1259,892,266,74,139,89,12,12,0,2,0]],[100494037,100544285,[1303,874,257,64,132,86,18,8,0,1,0]],[100544285,100594558,[1230,892,259,63,127,94,15,16,0,1,0]],[100594558,100644856,[1217,883,277,78,144,76,18,16,0,4,0]],[100644856,100695179,[1237,880,270,79,143,85,17,6,0,3,0]],[100695179,100745527,[1234,863,258,96,137,89,19,14,0,0,0]],[100745527,100795900,[1264,855,266,72,139,100,10,14,0,2,0]],[100795900,100846298,[1259,876,261,62,152,59,17,12,0,0,1]],[100846298,100896722,[1249,892,294,76,122,83,15,14,0,1,0]],[100896722,100947171,[1244,879,305,86,138,86,13,21,0,1,0]],[100947171,100997645,[1309,853,271,80,138,71,20,8,0,3,0]],[100997645,101048144,[1250,903,299,84,133,81,8,13,0,3,0]],[101048144,101098669,[1289,886,267,75,125,89,13,14,0,3,1]],[101098669,101149219,[1179,936,306,77,138,100,12,11,0,0,0]],[101149219,101199794,[1267,846,275,74,141,80,20,9,0,3,0]],[101199794,101250394,[1266,912,261,70,149,77,13,14,0,4,0]],[101250394,101301020,[1252,871,296,75,131,93,7,9,0,1,0]],[101301020,101351671,[1264,924,266,82,125,93,15,15,0,1,0]],[101351671,101402347,[1259,859,284,83,131,77,11,12,0,1,0]],[101402347,101453049,[1236,883,301,84,122,96,20,15,0,1,0]],[101453049,101503776,[1246,887,312,83,136,71,18,20,0,3,0]],[101503776,101554528,[1264,888,284,83,141,91,18,7,0,1,0]],[101554528,101605306,[1218,866,287,78,152,65,8,10,0,1,0]],[101605306,101656109,[1258,893,268,85,148,94,18,13,0,1,0]],[101656109,101706938,[1233,885,276,63,132,90,16,20,0,3,2]],[101706938,101757792,[1284,883,263,69,131,89,18,10,0,3,0]],[101757792,101808671,[1246,919,273,75,141,80,16,14,0,0,0]],[101808671,101859576,[1257,889,259,89,147,80,11,12,0,2,0]],[101859576,101910506,[1269,933,289,62,129,87,18,9,0,4,0]],[101910506,101961462,[1251,914,282,95,133,82,19,10,0,2,0]],[101961462,102012443,[1308,858,290,72,118,87,18,17,0,1,0]],[102012443,102063450,[1281,925,277,78,139,72,19,10,0,2,0]],[102063450,102114482,[1274,866,285,62,146,81,19,12,0,2,0]],[102114482,102165540,[1248,908,282,83,142,80,19,20,0,0,1]],[102165540,102216623,[1261,941,273,67,139,91,12,11,0,2,0]],[102216623,102267732,[1266,919,296,73,130,72,13,13,0,4,0]],[102267732,102318866,[1300,903,274,76,134,96,11,5,0,0,0]],[102318866,102370026,[1281,894,281,90,139,89,18,8,0,3,0]],[102370026,102421212,[1286,877,286,67,145,93,16,11,0,1,0]],[102421212,102472423,[1279,859,270,81,136,99,15,11,0,0,0]],[102472423,102523660,[1277,915,279,68,147,87,14,10,0,1,0]],[102523660,102574922,[1277,873,286,77,153,80,18,16,0,0,0]],[102574922,102626210,[1279,909,278,80,149,81,16,14,0,1,0]],[102626210,102677524,[1284,884,259,76,115,80,19,11,0,2,0]],[102677524,102728863,[1295,914,276,68,127,89,11,17,0,2,0]],[102728863,102780228,[1265,882,283,78,144,92,9,15,0,1,1]],[102780228,102831619,[1278,912,284,80,114,95,9,19,0,3,0]],[102831619,102883035,[1271,939,265,74,136,100,13,12,0,4,0]],[102883035,102934477,[1244,871,291,87,148,98,12,11,0,4,0]],[102934477,102985945,[1290,888,256,78,137,94,9,11,0,2,0]],[102985945,103037438,[1247,923,302,75,123,87,17,13,0,3,0]],[103037438,103088957,[1261,952,274,77,150,91,17,17,0,2,0]],[103088957,103140502,[1230,893,272,74,147,91,23,8,0,3,0]],[103140502,103192073,[1248,914,270,75,156,100,13,12,0,3,0]],[103192073,103243670,[1243,883,280,80,143,83,12,11,0,3,0]],[103243670,103295292,[1291,925,279,92,143,76,25,13,0,2,0]],[103295292,103346940,[1315,885,287,78,129,87,11,8,0,2,0]],[103346940,103398614,[1289,905,285,93,137,87,15,3,0,1,0]],[103398614,103450314,[1345,902,275,69,143,83,17,9,0,2,0]],[103450314,103502040,[1248,883,312,71,151,106,11,11,0,2,0]],[103502040,103553792,[1291,912,255,81,124,96,16,14,0,3,0]],[103553792,103605569,[1279,879,248,69,147,88,19,14,0,3,0]],[103605569,103657372,[1287,904,299,70,121,72,12,10,0,0,0]],[103657372,103709201,[1312,911,292,81,134,101,14,14,0,3,0]],[103709201,103761056,[1322,877,281,50,157,75,23,12,0,0,0]],[103761056,103812937,[1294,890,290,77,142,90,9,10,0,1,0]],[103812937,103864844,[1243,899,268,89,160,96,23,17,0,3,0]],[103864844,103916777,[1288,956,256,83,133,86,17,17,0,1,0]],[103916777,103968736,[1307,871,275,93,146,95,14,11,0,1,0]],[103968736,104020721,[1298,931,275,83,143,75,15,12,0,4,0]],[104020721,104072732,[1287,959,299,80,113,101,17,18,0,6,0]],[104072732,104124769,[1317,901,280,76,127,84,14,16,0,0,0]],[104124769,104176832,[1310,913,269,76,167,87,15,12,0,2,0]],[104176832,104228921,[1338,866,308,75,159,77,18,10,0,3,0]],[104228921,104281036,[1357,886,292,88,137,84,9,13,0,3,0]],[104281036,104333177,[1246,918,278,78,157,70,16,16,0,2,0]],[104333177,104385344,[1359,860,295,79,137,80,11,16,0,1,0]],[104385344,104437537,[1297,907,279,82,136,91,12,18,0,3,1]],[104437537,104489756,[1337,924,230,83,138,84,18,6,0,3,0]],[104489756,104542001,[1309,882,291,87,138,96,9,11,0,0,0]],[104542001,104594273,[1244,932,291,72,151,92,14,23,0,4,0]],[104594273,104646571,[1322,928,276,77,131,90,13,12,0,2,0]],[104646571,104698895,[1298,902,269,66,120,82,19,14,0,1,0]],[104698895,104751245,[1331,877,300,73,140,94,11,16,0,1,0]],[104751245,104803621,[1258,894,294,84,154,84,15,16,0,1,0]],[104803621,104856023,[1331,907,320,75,149,84,12,12,0,1,0]],[104856023,104908452,[1264,949,268,71,124,106,18,19,0,2,0]],[104908452,104960907,[1310,922,260,86,139,81,9,12,0,0,0]],[104960907,105013388,[1287,933,294,74,143,94,11,15,0,1,0]],[105013388,105065895,[1328,921,300,68,121,81,18,16,0,1,0]],[105065895,105118428,[1289,945,295,68,133,75,14,12,0,2,1]],[105118428,105170988,[1334,908,263,96,138,103,14,12,0,3,0]],[105170988,105223574,[1340,922,293,74,128,90,13,12,0,3,0]],[105223574,105276186,[1276,922,263,77,141,94,20,10,0,1,0]],[105276186,105328825,[1334,935,267,61,134,91,14,9,0,0,0]],[105328825,105381490,[1331,909,263,91,140,101,18,21,0,2,0]],[105381490,105434181,[1326,903,292,71,148,89,15,16,0,1,0]],[105434181,105486899,[1314,901,294,69,145,79,9,13,0,0,0]],[105486899,105539643,[1314,908,283,87,146,85,16,11,0,3,0]],[105539643,105592413,[1247,961,317,67,159,76,9,16,0,2,0]],[105592413,105645210,[1307,901,266,84,138,83,18,13,0,2,0]],[105645210,105698033,[1279,918,297,76,148,98,17,11,0,2,0]],[105698033,105750883,[1366,906,276,81,132,83,12,17,0,1,0]],[105750883,105803759,[1276,938,310,76,154,91,19,9,0,2,0]],[105803759,105856661,[1329,942,281,75,134,70,11,14,0,2,0]],[105856661,105909590,[1363,840,310,83,144,98,20,13,0,2,0]],[105909590,105962545,[1293,928,248,80,142,120,11,14,0,1,1]],[105962545,106015527,[1323,914,286,76,153,97,19,15,0,1,0]],[106015527,106068535,[1307,924,279,83,141,96,14,10,0,2,0]],[106068535,106121570,[1351,862,298,76,148,90,8,14,0,1,0]],[106121570,106174631,[1285,938,266,77,157,98,17,15,0,2,0]],[106174631,106227719,[1307,961,286,77,137,94,18,13,0,3,0]],[106227719,106280833,[1323,898,282,73,115,98,17,15,0,6,0]],[106280833,106333974,[1390,918,300,78,132,91,13,10,0,2,0]],[106333974,106387141,[1321,894,262,80,140,116,19,9,0,1,0]],[106387141,106440335,[1306,937,298,78,112,112,18,19,0,4,0]],[106440335,106493556,[1351,867,308,85,145,90,19,22,0,1,0]],[106493556,106546803,[1335,960,277,80,134,85,14,10,0,3,0]],[106546803,106600077,[1331,890,330,74,155,91,11,16,0,2,0]],[106600077,106653378,[1358,913,289,70,120,74,12,18,0,2,0]],[106653378,106706705,[1303,974,280,92,116,90,29,17,0,3,0]],[106706705,106760059,[1263,951,280,81,136,87,15,15,0,3,0]],[106760059,106813440,[1315,939,295,84,143,95,16,11,0,2,0]],[106813440,106866847,[1317,929,306,77,148,85,15,14,0,4,0]],[106866847,106920281,[1307,926,279,69,161,101,22,16,0,0,0]],[106920281,106973742,[1298,927,328,80,148,91,14,10,0,1,0]],[106973742,107027229,[1362,917,284,66,154,105,16,17,0,4,0]],[107027229,107080743,[1286,920,302,77,123,86,13,17,0,1,0]],[107080743,107134284,[1354,926,302,88,137,107,5,12,0,2,0]],[107134284,107187852,[1371,923,305,70,135,99,18,10,0,1,0]],[107187852,107241446,[1368,947,301,78,146,91,14,13,0,2,0]],[107241446,107295067,[1329,941,281,90,137,86,12,14,0,1,0]],[107295067,107348715,[1315,942,310,71,153,106,13,16,0,2,0]],[107348715,107402390,[1337,898,302,74,162,101,14,17,0,1,0]],[107402390,107456092,[1366,948,295,68,123,93,10,13,0,0,0]],[107456092,107509821,[1311,931,287,82,141,91,16,15,0,0,0]],[107509821,107563576,[1312,921,312,89,120,94,18,18,0,0,0]],[107563576,107617358,[1283,987,277,98,145,80,11,13,0,3,0]],[107617358,107671167,[1391,916,306,70,150,75,19,20,0,0,0]],[107671167,107725003,[1395,915,307,88,128,88,11,11,0,3,0]],[107725003,107778866,[1287,956,308,83,166,82,12,14,0,0,0]],[107778866,107832756,[1384,946,263,70,154,80,17,14,0,1,0]],[107832756,107886673,[1373,901,310,65,145,100,10,7,0,2,0]],[107886673,107940617,[1359,888,269,85,146,72,12,21,0,3,0]],[107940617,107994588,[1262,929,326,91,155,88,19,7,0,1,0]],[107994588,108048586,[1320,945,264,80,162,89,20,18,0,3,0]],[108048586,108102611,[1385,890,323,81,146,92,17,10,0,2,0]],[108102611,108156663,[1347,926,286,68,171,96,13,13,0,4,0]],[108156663,108210742,[1289,965,330,70,134,103,10,18,0,2,0]],[108210742,108264848,[1364,975,266,93,139,99,27,16,0,1,0]],[108264848,108318981,[1393,920,275,81,149,95,26,16,0,3,0]],[108318981,108373141,[1370,914,290,84,142,104,8,20,0,1,0]],[108373141,108427328,[1339,968,300,78,160,93,14,18,0,3,0]],[108427328,108481542,[1369,961,269,107,144,88,13,8,0,0,0]],[108481542,108535783,[1373,956,311,83,136,92,15,11,0,2,0]],[108535783,108590051,[1356,942,297,81,159,89,13,6,0,4,0]],[108590051,108644347,[1335,923,297,81,151,98,17,11,0,4,0]],[108644347,108698670,[1338,970,278,71,132,86,15,18,0,3,0]],[108698670,108753020,[1365,905,308,84,136,93,18,14,0,1,0]],[108753020,108807397,[1326,950,321,101,147,101,13,14,0,5,0]],[108807397,108861801,[1319,973,308,94,139,73,17,13,0,3,0]],[108861801,108916232,[1295,958,299,93,136,87,13,8,0,1,1]],[108916232,108970691,[1417,942,258,73,142,86,17,12,0,1,0]],[108970691,109025177,[1380,912,275,82,137,100,15,10,0,5,0]],[109025177,109079690,[1408,960,318,63,116,91,15,11,0,3,0]],[109079690,109134230,[1280,987,312,85,132,94,12,23,0,1,0]],[109134230,109188798,[1381,949,281,96,138,84,16,10,0,2,0]],[109188798,109243393,[1340,931,329,95,140,94,32,12,0,3,0]],[109243393,109298015,[1315,988,306,86,155,81,11,17,0,2,0]],[109298015,109352665,[1306,944,275,92,155,90,16,15,0,4,0]],[109352665,109407342,[1342,947,301,85,149,92,19,19,0,3,0]],[109407342,109462046,[1377,995,317,79,146,92,11,14,0,1,0]],[109462046,109516778,[1283,934,340,70,176,111,19,13,0,4,0]],[109516778,109571537,[1370,959,305,68,149,92,14,18,0,1,0]],[109571537,109626323,[1347,922,271,84,162,108,16,11,0,3,0]],[109626323,109681137,[1425,926,287,73,156,97,11,10,0,2,0]],[109681137,109735978,[1343,935,309,86,138,83,21,14,0,1,0]],[109735978,109790846,[1338,1012,293,101,138,102,21,19,0,1,0]],[109790846,109845742,[1337,973,320,83,122,100,10,16,0,1,0]],[109845742,109900665,[1352,947,316,85,131,94,15,11,0,2,0]],[109900665,109955616,[1365,984,296,91,126,100,15,19,0,1,0]],[109955616,110000000,[1117,783,243,62,110,64,14,8,0,2,0]]],\"seconds\":22.41797465599666}\n" }, { "path": "anc/code/1.1.1/data/3723_census_blocks/block_10000000_20000000.json", "size_bytes": 71586, "sha256": "35a39157806c480a6b6aace7cd1230f7d864fb8cf45ad5c30706b7971ea81cdf", "mode": 420, "encoding": "utf-8", "text": "{\"lower\":10000000,\"upper\":20000000,\"prime_count\":606028,\"sha256_prime_rootcount_stream\":\"8696575eb3f777af26d9a8e63e3b12a396f5c12ab7a5d1899025d00a82840cf8\",\"bins\":[[10000000,10005000,[140,98,31,3,21,8,2,2,0,0,0]],[10005000,10010003,[132,106,36,8,16,11,0,0,0,0,0]],[10010003,10015009,[147,104,35,9,15,9,4,0,0,0,0]],[10015009,10020017,[149,95,22,2,26,9,1,0,0,2,0]],[10020017,10025028,[156,104,28,7,22,5,2,0,0,2,0]],[10025028,10030041,[144,100,26,11,16,6,1,1,0,0,0]],[10030041,10035057,[142,99,43,9,16,5,1,2,0,0,0]],[10035057,10040075,[136,108,40,10,13,6,0,1,0,1,0]],[10040075,10045096,[149,108,32,4,9,10,1,3,0,0,0]],[10045096,10050119,[160,89,38,3,16,7,3,0,0,0,0]],[10050119,10055145,[155,93,35,8,15,13,2,0,0,0,0]],[10055145,10060173,[139,113,31,5,12,5,0,0,0,0,0]],[10060173,10065204,[140,111,37,13,10,8,4,1,0,0,0]],[10065204,10070237,[129,108,32,5,7,11,1,1,0,0,0]],[10070237,10075273,[153,95,24,10,16,10,5,2,0,1,0]],[10075273,10080311,[125,116,35,12,14,13,1,2,0,0,0]],[10080311,10085352,[140,114,32,10,11,13,2,1,0,0,0]],[10085352,10090395,[139,93,34,8,19,9,0,0,0,0,0]],[10090395,10095441,[154,87,32,11,18,14,1,1,0,0,0]],[10095441,10100489,[157,93,27,9,18,8,2,0,0,1,0]],[10100489,10105540,[140,86,35,5,15,10,1,1,0,0,0]],[10105540,10110593,[152,102,40,6,11,11,2,3,0,0,0]],[10110593,10115649,[136,92,50,7,14,6,0,1,0,0,0]],[10115649,10120707,[136,100,46,7,21,6,0,4,0,1,0]],[10120707,10125768,[139,102,42,10,20,8,2,0,0,0,0]],[10125768,10130831,[126,109,31,6,16,14,0,3,0,1,0]],[10130831,10135897,[134,101,24,9,19,5,3,2,0,0,0]],[10135897,10140965,[156,101,35,14,18,6,2,1,0,1,0]],[10140965,10146036,[140,122,34,5,13,7,2,1,0,0,0]],[10146036,10151110,[154,97,31,11,17,9,1,3,0,0,0]],[10151110,10156186,[145,73,40,9,21,3,2,2,0,0,0]],[10156186,10161265,[137,105,29,13,20,14,3,3,0,0,0]],[10161265,10166346,[132,105,36,7,12,10,0,0,0,0,0]],[10166346,10171430,[137,102,35,7,11,12,3,3,0,0,0]],[10171430,10176516,[164,94,25,9,17,5,1,2,0,0,0]],[10176516,10181605,[128,99,30,16,19,10,1,3,0,1,0]],[10181605,10186696,[157,106,20,11,14,12,2,0,0,0,0]],[10186696,10191790,[132,105,24,10,18,9,1,1,0,0,0]],[10191790,10196886,[138,88,31,12,21,9,2,2,0,0,0]],[10196886,10201985,[148,100,25,11,14,7,2,4,0,0,0]],[10201985,10207086,[149,106,35,7,18,6,0,1,0,0,0]],[10207086,10212190,[126,124,26,7,16,6,2,0,0,0,0]],[10212190,10217297,[130,95,39,6,22,9,0,1,0,0,0]],[10217297,10222406,[145,100,38,7,13,8,1,3,0,1,0]],[10222406,10227518,[162,108,32,4,18,10,0,1,0,0,0]],[10227518,10232632,[131,115,28,10,16,17,2,1,0,0,0]],[10232632,10237749,[147,100,33,5,16,7,3,2,0,0,0]],[10237749,10242868,[131,109,29,9,20,7,1,0,0,1,0]],[10242868,10247990,[140,116,28,8,12,13,2,3,0,2,0]],[10247990,10253114,[138,105,24,14,14,14,3,1,0,0,0]],[10253114,10258241,[167,95,23,13,13,10,2,0,0,0,0]],[10258241,10263371,[158,110,31,8,17,11,1,1,0,0,0]],[10263371,10268503,[148,95,37,9,23,8,3,0,0,0,0]],[10268503,10273638,[127,116,36,12,17,8,3,2,0,0,0]],[10273638,10278775,[160,98,29,12,14,6,0,3,0,0,0]],[10278775,10283915,[152,85,36,10,14,10,0,2,0,0,0]],[10283915,10289057,[149,106,33,6,12,6,1,3,0,0,0]],[10289057,10294202,[138,108,31,8,15,10,1,3,0,0,0]],[10294202,10299350,[143,104,26,12,20,12,2,1,0,2,0]],[10299350,10304500,[139,96,31,10,14,8,1,2,0,0,0]],[10304500,10309653,[145,107,27,11,16,14,1,1,0,0,0]],[10309653,10314808,[147,88,37,9,12,9,1,0,0,0,0]],[10314808,10319966,[173,92,32,7,21,11,0,3,0,0,0]],[10319966,10325126,[141,98,27,16,13,13,1,0,0,0,0]],[10325126,10330289,[143,116,35,9,16,11,1,4,0,0,0]],[10330289,10335455,[151,100,36,6,13,10,0,0,0,0,0]],[10335455,10340623,[141,109,32,12,24,13,3,3,0,1,0]],[10340623,10345794,[143,80,35,9,17,13,2,3,0,0,0]],[10345794,10350967,[146,87,36,10,10,14,3,2,0,0,0]],[10350967,10356143,[155,87,41,6,23,11,0,0,0,0,0]],[10356143,10361322,[169,83,33,8,17,16,1,1,0,0,0]],[10361322,10366503,[133,110,36,11,15,7,2,2,0,0,0]],[10366503,10371687,[163,101,33,4,28,11,1,3,0,0,0]],[10371687,10376873,[166,87,23,7,10,7,1,1,0,0,0]],[10376873,10382062,[135,114,27,10,17,13,2,3,0,0,0]],[10382062,10387254,[138,113,39,9,14,10,3,1,0,0,0]],[10387254,10392448,[142,106,32,10,11,10,2,1,0,0,0]],[10392448,10397645,[134,120,43,11,19,14,2,1,0,0,0]],[10397645,10402844,[151,109,28,9,20,16,1,2,0,1,0]],[10402844,10408046,[137,98,29,8,24,12,0,0,0,0,0]],[10408046,10413251,[145,93,38,12,23,6,3,1,0,0,0]],[10413251,10418458,[163,100,37,9,12,14,1,1,0,0,0]],[10418458,10423668,[155,98,27,8,16,12,1,2,0,0,0]],[10423668,10428880,[153,92,38,13,10,13,0,2,0,0,0]],[10428880,10434095,[140,98,43,9,18,11,0,2,0,1,1]],[10434095,10439313,[162,114,21,7,11,7,0,0,0,0,0]],[10439313,10444533,[146,103,28,10,15,18,0,2,0,0,0]],[10444533,10449756,[159,91,33,9,10,16,3,1,0,0,0]],[10449756,10454981,[141,112,36,13,14,10,1,2,0,0,0]],[10454981,10460209,[153,100,22,14,13,16,2,2,0,0,0]],[10460209,10465440,[161,93,33,7,19,6,4,1,0,0,0]],[10465440,10470673,[148,108,37,5,23,11,1,3,0,3,0]],[10470673,10475909,[149,106,32,5,15,15,2,0,0,0,0]],[10475909,10481147,[144,100,41,7,16,11,0,1,0,0,0]],[10481147,10486388,[168,95,33,10,12,8,2,0,0,0,0]],[10486388,10491632,[176,100,37,6,14,8,2,1,0,0,0]],[10491632,10496878,[126,111,38,10,17,10,2,0,0,0,0]],[10496878,10502127,[171,99,34,6,14,4,0,0,0,0,0]],[10502127,10507379,[133,102,47,7,24,15,3,1,0,0,0]],[10507379,10512633,[154,96,31,14,9,12,3,1,0,0,0]],[10512633,10517890,[168,94,29,12,16,7,3,2,0,0,0]],[10517890,10523149,[154,99,28,8,14,12,1,2,0,0,0]],[10523149,10528411,[148,99,29,5,11,16,3,0,0,0,0]],[10528411,10533676,[129,115,28,1,23,20,0,6,0,0,0]],[10533676,10538943,[159,102,35,12,6,11,2,1,0,0,0]],[10538943,10544213,[158,82,28,11,20,14,3,0,0,1,0]],[10544213,10549486,[159,110,35,9,18,13,3,2,0,2,0]],[10549486,10554761,[142,111,23,13,14,12,3,0,0,2,0]],[10554761,10560039,[154,96,29,16,16,9,5,3,0,0,0]],[10560039,10565320,[157,99,40,13,20,5,1,0,0,0,0]],[10565320,10570603,[151,112,30,11,15,4,3,2,0,0,0]],[10570603,10575889,[151,79,34,19,20,15,1,2,0,1,0]],[10575889,10581177,[168,94,25,14,13,8,4,3,0,0,0]],[10581177,10586468,[159,94,29,6,26,7,2,3,0,0,0]],[10586468,10591762,[151,85,33,9,19,10,1,3,0,1,0]],[10591762,10597058,[155,102,36,9,19,10,4,2,0,0,0]],[10597058,10602357,[147,118,28,9,16,3,0,0,0,0,0]],[10602357,10607659,[157,102,36,11,12,10,1,2,0,0,0]],[10607659,10612963,[159,107,26,10,9,7,3,5,0,0,0]],[10612963,10618270,[129,116,31,12,19,10,2,0,0,0,0]],[10618270,10623580,[137,105,42,9,21,9,0,2,0,0,0]],[10623580,10628892,[158,110,36,7,15,10,1,2,0,0,0]],[10628892,10634207,[161,105,29,9,16,10,1,1,0,0,0]],[10634207,10639525,[146,100,36,10,13,6,2,6,0,0,0]],[10639525,10644845,[157,113,28,7,11,7,4,2,0,0,0]],[10644845,10650168,[158,113,35,14,23,10,3,1,0,1,0]],[10650168,10655494,[144,93,36,9,18,11,2,1,0,0,0]],[10655494,10660822,[145,111,39,6,11,14,1,0,0,1,0]],[10660822,10666153,[151,99,35,8,21,14,2,2,0,0,0]],[10666153,10671487,[152,121,28,14,21,5,0,2,0,1,0]],[10671487,10676823,[145,120,44,9,18,12,1,1,0,0,0]],[10676823,10682162,[147,106,36,10,16,14,0,1,0,0,0]],[10682162,10687504,[156,113,36,4,13,14,2,2,0,0,0]],[10687504,10692848,[144,100,45,4,13,14,0,1,0,0,0]],[10692848,10698195,[161,107,28,13,14,8,6,1,0,0,0]],[10698195,10703545,[153,101,39,12,15,7,1,1,0,0,0]],[10703545,10708897,[145,122,44,7,9,7,0,3,0,0,0]],[10708897,10714252,[151,122,38,4,16,13,0,0,0,0,0]],[10714252,10719610,[151,103,34,8,22,17,2,4,0,0,0]],[10719610,10724970,[136,110,36,8,18,12,2,1,0,0,0]],[10724970,10730333,[146,105,37,14,15,9,1,0,0,0,0]],[10730333,10735699,[148,110,26,7,13,9,1,1,0,0,0]],[10735699,10741067,[163,108,29,6,15,17,1,3,0,1,0]],[10741067,10746438,[156,88,30,13,12,13,2,0,0,0,0]],[10746438,10751812,[177,95,34,14,15,10,2,1,0,0,0]],[10751812,10757188,[142,101,30,9,20,8,0,2,0,1,0]],[10757188,10762567,[150,105,33,7,21,11,4,0,0,1,0]],[10762567,10767949,[150,107,32,12,16,11,2,1,0,0,0]],[10767949,10773333,[151,108,19,4,13,10,1,1,0,0,0]],[10773333,10778720,[150,127,38,8,14,14,1,1,0,0,0]],[10778720,10784110,[143,101,43,10,17,11,1,1,0,1,0]],[10784110,10789503,[151,92,26,7,14,13,2,1,0,0,0]],[10789503,10794898,[152,109,38,4,17,14,4,2,0,0,0]],[10794898,10800296,[164,99,24,9,26,10,2,1,0,1,0]],[10800296,10805697,[168,103,29,11,16,7,2,0,0,0,0]],[10805697,10811100,[153,115,34,5,13,11,1,2,0,1,0]],[10811100,10816506,[157,118,33,6,19,12,1,1,0,0,0]],[10816506,10821915,[140,106,39,6,12,8,1,3,0,0,0]],[10821915,10827326,[166,97,28,12,19,11,0,0,0,0,0]],[10827326,10832740,[144,101,34,11,18,13,1,0,0,1,0]],[10832740,10838157,[177,116,23,9,7,9,0,0,0,0,0]],[10838157,10843577,[174,109,30,12,22,12,2,4,0,1,0]],[10843577,10848999,[159,90,37,6,21,12,1,4,0,1,0]],[10848999,10854424,[147,121,30,5,19,4,3,0,0,0,0]],[10854424,10859852,[161,112,30,8,10,15,2,1,0,0,0]],[10859852,10865282,[156,114,34,6,22,7,1,1,0,0,0]],[10865282,10870715,[158,115,31,10,22,7,1,0,0,0,0]],[10870715,10876151,[150,99,34,10,15,13,1,1,0,0,0]],[10876151,10881590,[142,115,29,4,17,9,0,3,0,0,0]],[10881590,10887031,[156,99,34,9,16,9,1,2,0,0,0]],[10887031,10892475,[147,111,35,17,16,14,2,4,0,0,0]],[10892475,10897922,[150,113,31,11,16,13,2,3,0,0,0]],[10897922,10903371,[175,105,31,8,19,10,2,2,0,0,0]],[10903371,10908823,[138,111,34,12,21,9,2,2,0,0,0]],[10908823,10914278,[140,115,38,9,11,13,0,3,0,0,0]],[10914278,10919736,[148,106,38,11,16,9,3,1,0,1,0]],[10919736,10925196,[141,128,35,11,19,9,5,0,0,1,0]],[10925196,10930659,[175,114,31,5,12,10,3,0,0,0,0]],[10930659,10936125,[137,116,29,8,21,10,1,2,0,0,0]],[10936125,10941594,[146,120,39,9,16,9,3,3,0,0,0]],[10941594,10947065,[168,121,29,6,12,9,1,2,0,0,0]],[10947065,10952539,[153,109,29,10,17,16,2,2,0,0,0]],[10952539,10958016,[140,123,30,9,19,12,4,3,0,0,0]],[10958016,10963496,[163,110,32,7,20,15,2,2,0,0,0]],[10963496,10968978,[143,108,32,15,20,12,3,1,0,0,0]],[10968978,10974463,[144,109,30,9,11,7,1,0,0,1,0]],[10974463,10979951,[154,116,32,16,15,11,2,1,0,0,0]],[10979951,10985441,[158,110,44,8,17,12,2,2,0,0,0]],[10985441,10990934,[155,100,26,7,13,9,0,3,0,0,0]],[10990934,10996430,[161,123,28,3,20,10,2,4,0,0,0]],[10996430,11001929,[170,110,34,7,14,8,1,0,0,0,0]],[11001929,11007430,[171,96,26,10,14,5,3,2,0,1,0]],[11007430,11012934,[151,116,32,6,15,9,1,0,0,0,0]],[11012934,11018441,[152,105,28,16,15,8,1,2,0,0,0]],[11018441,11023951,[157,110,36,7,15,13,1,1,0,0,0]],[11023951,11029463,[156,110,39,9,12,10,0,2,0,1,0]],[11029463,11034978,[161,94,48,13,14,7,1,0,0,1,0]],[11034978,11040496,[141,130,33,9,16,7,2,3,0,0,0]],[11040496,11046017,[159,119,29,10,18,13,0,0,0,0,0]],[11046017,11051541,[155,115,33,7,22,5,1,1,0,0,0]],[11051541,11057067,[160,112,37,10,26,7,1,1,0,0,0]],[11057067,11062596,[163,118,32,7,15,13,2,1,0,0,0]],[11062596,11068128,[145,107,37,12,22,11,2,1,0,0,0]],[11068128,11073663,[157,113,39,8,11,10,5,0,0,0,0]],[11073663,11079200,[181,94,36,15,16,10,0,1,0,1,0]],[11079200,11084740,[159,108,34,5,22,8,1,2,0,0,0]],[11084740,11090283,[140,110,33,12,19,21,2,2,0,0,0]],[11090283,11095829,[176,106,36,5,17,7,1,4,0,0,0]],[11095829,11101377,[154,118,31,8,22,14,1,1,0,1,0]],[11101377,11106928,[137,126,27,14,20,13,3,2,0,0,0]],[11106928,11112482,[150,125,34,12,17,9,3,1,0,0,0]],[11112482,11118039,[145,115,31,7,20,14,3,3,0,0,0]],[11118039,11123599,[162,97,22,11,23,11,0,3,0,0,0]],[11123599,11129161,[147,111,34,9,11,8,2,0,0,0,0]],[11129161,11134726,[169,93,31,12,15,9,0,2,0,0,0]],[11134726,11140294,[163,114,30,14,15,11,1,0,0,0,0]],[11140294,11145865,[147,114,37,7,23,13,0,2,0,0,0]],[11145865,11151438,[163,106,43,7,21,14,0,1,0,0,0]],[11151438,11157014,[167,107,32,11,15,9,2,3,0,0,0]],[11157014,11162593,[145,113,37,11,16,18,2,2,0,0,0]],[11162593,11168175,[168,115,25,7,19,13,3,1,0,0,0]],[11168175,11173760,[166,110,30,13,11,17,3,1,0,0,0]],[11173760,11179347,[164,114,36,5,27,11,3,0,0,0,0]],[11179347,11184937,[176,95,37,11,13,9,2,6,0,0,0]],[11184937,11190530,[171,102,34,6,14,9,2,1,0,0,0]],[11190530,11196126,[148,118,35,12,18,9,1,2,0,0,1]],[11196126,11201725,[151,109,32,19,24,11,1,3,0,1,0]],[11201725,11207326,[175,94,26,10,13,9,3,2,0,1,0]],[11207326,11212930,[146,112,39,17,14,12,1,4,0,0,0]],[11212930,11218537,[145,119,35,5,17,12,2,3,0,0,0]],[11218537,11224147,[170,105,23,10,16,15,3,0,0,0,0]],[11224147,11229760,[160,117,33,10,14,5,3,0,0,0,0]],[11229760,11235375,[165,112,34,7,18,7,1,1,0,0,0]],[11235375,11240993,[146,109,41,15,13,12,2,1,0,1,0]],[11240993,11246614,[146,110,48,13,18,13,5,2,0,0,0]],[11246614,11252238,[174,107,32,15,20,9,4,0,0,0,0]],[11252238,11257865,[169,100,33,7,13,12,1,2,0,1,0]],[11257865,11263494,[162,108,44,8,20,8,2,1,0,0,0]],[11263494,11269126,[162,100,36,11,12,9,1,2,0,0,0]],[11269126,11274761,[143,113,37,10,24,8,1,2,0,0,0]],[11274761,11280399,[147,104,36,7,15,15,1,1,0,1,0]],[11280399,11286040,[177,104,28,9,25,14,2,1,0,1,0]],[11286040,11291684,[151,125,36,13,14,9,0,4,0,0,0]],[11291684,11297330,[158,128,35,10,15,10,3,0,0,0,0]],[11297330,11302979,[138,118,29,8,16,8,4,1,0,0,0]],[11302979,11308631,[151,104,41,15,11,13,2,0,0,1,0]],[11308631,11314286,[179,119,31,4,23,9,2,1,0,0,0]],[11314286,11319944,[173,101,27,12,13,12,1,1,0,0,0]],[11319944,11325604,[161,123,36,15,14,12,2,0,0,0,0]],[11325604,11331267,[146,110,51,8,15,9,3,1,0,0,0]],[11331267,11336933,[167,106,29,11,22,10,2,0,0,1,0]],[11336933,11342602,[139,119,26,7,21,11,4,1,0,0,1]],[11342602,11348274,[172,100,35,8,28,6,4,4,0,0,0]],[11348274,11353949,[169,122,33,5,17,7,5,1,0,0,0]],[11353949,11359626,[152,117,37,9,14,11,1,5,0,0,0]],[11359626,11365306,[146,134,32,11,16,6,1,2,0,0,0]],[11365306,11370989,[160,109,30,10,15,14,1,1,0,0,0]],[11370989,11376675,[163,117,45,8,10,11,1,1,0,0,0]],[11376675,11382364,[172,84,29,11,19,16,1,8,0,1,0]],[11382364,11388056,[152,118,41,10,11,8,2,1,0,0,0]],[11388056,11393751,[161,107,47,11,13,10,2,0,0,0,0]],[11393751,11399448,[168,108,35,13,15,14,0,1,0,2,0]],[11399448,11405148,[181,98,32,12,17,13,0,0,0,0,0]],[11405148,11410851,[165,111,31,4,17,8,3,2,0,0,0]],[11410851,11416557,[168,105,26,8,17,17,0,3,0,0,0]],[11416557,11422266,[167,120,35,13,15,10,3,2,0,0,0]],[11422266,11427978,[166,113,39,7,12,11,5,3,0,1,0]],[11427978,11433692,[155,110,33,10,8,10,1,1,0,0,0]],[11433692,11439409,[156,123,24,15,19,10,1,2,0,0,0]],[11439409,11445129,[152,119,42,16,15,10,2,1,0,1,0]],[11445129,11450852,[144,118,36,6,18,10,2,2,0,0,0]],[11450852,11456578,[175,122,38,6,17,11,3,1,0,0,0]],[11456578,11462307,[159,115,43,10,27,16,0,2,0,0,0]],[11462307,11468039,[162,105,36,13,23,13,0,3,0,0,0]],[11468039,11473774,[172,121,36,11,17,9,2,1,0,0,0]],[11473774,11479511,[154,101,44,14,11,13,3,3,0,0,0]],[11479511,11485251,[166,109,28,12,12,7,2,0,0,0,0]],[11485251,11490994,[155,120,31,12,15,15,0,4,0,0,0]],[11490994,11496740,[170,125,37,3,15,11,2,2,0,0,0]],[11496740,11502489,[156,116,34,13,16,9,3,2,0,0,0]],[11502489,11508241,[169,99,34,11,17,12,2,1,0,0,0]],[11508241,11513996,[164,109,38,7,13,7,1,3,0,0,0]],[11513996,11519753,[158,118,32,11,17,9,1,3,0,0,0]],[11519753,11525513,[161,134,31,7,16,5,2,3,0,0,0]],[11525513,11531276,[173,130,41,10,10,5,1,1,0,0,0]],[11531276,11537042,[160,130,29,6,20,9,1,2,0,0,0]],[11537042,11542811,[183,125,37,12,21,8,2,3,0,0,0]],[11542811,11548583,[145,122,36,9,13,11,3,1,0,0,0]],[11548583,11554358,[168,118,30,14,16,12,2,1,0,1,0]],[11554358,11560136,[155,123,27,13,15,9,0,2,0,0,0]],[11560136,11565917,[166,120,34,9,22,11,0,3,0,0,0]],[11565917,11571700,[156,122,32,9,21,14,3,0,0,0,0]],[11571700,11577486,[160,112,35,4,12,11,4,1,0,0,0]],[11577486,11583275,[182,108,26,14,21,10,2,2,0,1,0]],[11583275,11589067,[178,108,37,5,24,11,1,1,0,1,0]],[11589067,11594862,[180,91,37,8,21,10,0,1,0,1,0]],[11594862,11600660,[174,108,26,3,20,9,2,1,0,1,0]],[11600660,11606461,[168,120,48,11,15,12,0,0,0,0,0]],[11606461,11612265,[175,118,43,15,13,10,3,1,0,1,0]],[11612265,11618072,[185,133,31,11,11,5,0,1,0,0,0]],[11618072,11623882,[180,110,36,10,24,9,1,4,0,0,0]],[11623882,11629694,[138,131,36,9,24,8,1,1,0,0,0]],[11629694,11635509,[153,97,38,14,17,15,3,2,0,0,0]],[11635509,11641327,[142,109,31,9,25,13,0,2,0,0,0]],[11641327,11647148,[153,130,29,8,25,13,1,3,0,0,0]],[11647148,11652972,[183,123,29,11,14,13,3,2,0,0,0]],[11652972,11658799,[161,124,36,10,21,7,3,1,0,0,0]],[11658799,11664629,[151,115,46,6,20,9,3,1,0,0,0]],[11664629,11670462,[157,107,42,4,30,14,1,3,0,1,0]],[11670462,11676298,[168,122,34,13,9,9,0,1,0,0,0]],[11676298,11682137,[176,87,33,8,9,7,3,3,0,0,0]],[11682137,11687979,[179,143,31,6,13,8,3,0,0,0,0]],[11687979,11693823,[171,105,33,6,17,8,5,2,0,2,0]],[11693823,11699670,[175,113,35,10,17,16,2,2,0,0,0]],[11699670,11705520,[160,121,44,13,15,12,1,1,0,0,0]],[11705520,11711373,[139,134,35,12,21,10,4,1,0,0,0]],[11711373,11717229,[149,117,56,12,14,4,1,0,0,1,0]],[11717229,11723088,[170,119,31,11,15,12,0,2,0,1,0]],[11723088,11728950,[168,106,43,5,14,12,4,0,0,0,0]],[11728950,11734815,[166,113,40,12,16,9,5,4,0,0,0]],[11734815,11740683,[164,103,35,15,26,14,3,1,0,0,0]],[11740683,11746554,[163,120,38,9,11,10,0,5,0,0,0]],[11746554,11752428,[153,126,34,14,22,11,2,4,0,1,0]],[11752428,11758305,[166,102,40,15,16,16,2,2,0,1,0]],[11758305,11764185,[163,115,32,7,17,17,2,1,0,0,0]],[11764185,11770068,[151,124,40,9,17,13,1,2,0,1,0]],[11770068,11775954,[178,114,26,9,17,8,0,2,0,0,0]],[11775954,11781842,[163,120,29,9,18,15,2,4,0,0,0]],[11781842,11787733,[188,122,30,16,19,9,2,4,0,0,0]],[11787733,11793627,[160,116,35,7,20,12,2,1,0,0,0]],[11793627,11799524,[174,96,51,13,25,8,1,1,0,0,0]],[11799524,11805424,[165,130,36,10,24,8,1,1,0,0,0]],[11805424,11811327,[160,113,37,16,15,12,0,1,0,0,0]],[11811327,11817233,[173,100,37,12,22,11,2,3,0,0,0]],[11817233,11823142,[177,102,34,11,23,11,4,0,0,0,0]],[11823142,11829054,[183,90,40,19,21,9,1,2,0,1,0]],[11829054,11834969,[173,110,31,6,13,14,1,0,0,0,0]],[11834969,11840887,[159,127,33,13,12,10,1,3,0,0,0]],[11840887,11846808,[165,103,41,7,13,17,0,1,0,0,0]],[11846808,11852732,[167,109,43,9,22,16,0,0,0,1,0]],[11852732,11858659,[164,122,35,10,15,13,3,0,0,0,0]],[11858659,11864589,[175,128,33,10,21,14,2,1,0,0,0]],[11864589,11870522,[157,118,45,12,23,12,3,0,0,0,0]],[11870522,11876458,[152,126,28,9,17,14,3,2,0,0,0]],[11876458,11882397,[182,114,29,9,30,12,2,3,0,0,0]],[11882397,11888339,[158,127,36,9,17,9,3,2,0,1,0]],[11888339,11894284,[162,97,37,13,21,15,4,1,0,0,0]],[11894284,11900232,[179,120,37,6,18,11,3,0,0,0,0]],[11900232,11906183,[177,121,41,9,15,7,1,1,0,0,0]],[11906183,11912137,[167,122,35,10,15,11,0,0,0,0,0]],[11912137,11918094,[156,135,38,11,15,13,2,0,0,1,0]],[11918094,11924054,[172,100,34,13,22,13,3,1,0,0,0]],[11924054,11930017,[188,115,50,10,23,6,5,3,0,0,0]],[11930017,11935983,[156,110,50,3,14,8,1,2,0,0,0]],[11935983,11941951,[158,132,32,5,21,6,0,3,0,0,0]],[11941951,11947922,[178,119,39,14,15,20,1,0,0,0,0]],[11947922,11953896,[170,125,40,9,18,17,0,3,0,0,0]],[11953896,11959873,[159,131,33,11,19,15,3,1,0,1,0]],[11959873,11965853,[171,113,38,10,19,12,1,0,0,0,0]],[11965853,11971836,[161,125,31,12,13,9,1,3,0,0,0]],[11971836,11977822,[178,113,31,16,12,10,2,0,0,0,0]],[11977822,11983811,[164,140,26,12,18,12,2,0,0,0,0]],[11983811,11989803,[180,121,39,3,15,5,2,3,0,1,0]],[11989803,11995798,[156,129,34,10,16,13,2,2,0,1,0]],[11995798,12001796,[174,109,33,8,18,15,0,3,0,0,0]],[12001796,12007797,[163,104,39,11,26,12,0,3,0,0,0]],[12007797,12013801,[159,123,49,10,25,10,2,1,0,0,0]],[12013801,12019808,[167,135,31,8,14,14,4,6,0,0,0]],[12019808,12025818,[163,114,38,6,15,9,4,1,0,0,0]],[12025818,12031831,[173,122,29,9,15,13,1,1,0,0,0]],[12031831,12037847,[178,120,30,6,19,9,1,0,0,0,0]],[12037847,12043866,[174,120,41,15,13,9,0,3,0,1,0]],[12043866,12049888,[157,128,30,14,22,10,2,1,0,1,0]],[12049888,12055913,[172,116,34,10,17,17,3,1,0,0,0]],[12055913,12061941,[176,138,38,9,15,15,4,1,0,1,0]],[12061941,12067972,[178,114,34,9,16,11,1,1,0,1,0]],[12067972,12074006,[157,130,39,9,13,9,1,2,0,0,0]],[12074006,12080044,[188,116,33,10,13,12,2,0,0,0,0]],[12080044,12086085,[159,115,40,9,21,6,2,1,0,0,0]],[12086085,12092129,[162,126,34,7,18,14,3,2,0,0,0]],[12092129,12098176,[158,119,33,8,22,8,4,2,0,0,0]],[12098176,12104226,[195,119,31,7,15,8,2,2,0,1,0]],[12104226,12110279,[170,113,38,13,15,15,3,1,0,0,0]],[12110279,12116335,[169,125,36,17,16,12,4,3,0,1,0]],[12116335,12122394,[167,121,46,15,14,15,3,2,0,0,0]],[12122394,12128456,[168,119,36,12,14,13,0,0,0,0,0]],[12128456,12134521,[169,113,40,14,18,9,1,0,0,1,0]],[12134521,12140589,[168,114,47,9,20,13,1,2,0,0,0]],[12140589,12146660,[174,137,35,8,19,12,2,3,0,0,0]],[12146660,12152734,[175,136,30,6,17,9,0,0,0,0,0]],[12152734,12158811,[168,122,35,14,21,7,2,0,0,0,1]],[12158811,12164891,[165,115,38,9,20,7,2,0,0,0,0]],[12164891,12170974,[177,118,36,9,19,8,0,2,0,0,0]],[12170974,12177060,[170,127,48,14,13,7,1,3,0,0,0]],[12177060,12183149,[173,120,32,13,14,7,0,2,0,0,0]],[12183149,12189241,[168,123,40,9,18,11,3,3,0,0,0]],[12189241,12195336,[165,113,44,9,20,17,1,2,0,1,0]],[12195336,12201434,[166,107,40,10,22,13,4,2,0,0,0]],[12201434,12207535,[158,126,38,10,13,19,0,1,0,1,0]],[12207535,12213639,[176,135,41,15,26,9,1,1,0,0,0]],[12213639,12219746,[169,131,26,11,16,13,1,2,0,0,0]],[12219746,12225856,[174,112,34,12,17,14,1,2,0,0,0]],[12225856,12231969,[178,133,32,10,18,17,5,1,0,0,0]],[12231969,12238085,[174,125,36,7,23,8,2,0,0,1,0]],[12238085,12244205,[162,118,37,15,14,14,3,0,0,0,0]],[12244205,12250328,[150,132,36,11,21,15,3,0,0,0,0]],[12250328,12256454,[177,120,28,8,19,15,3,1,0,1,0]],[12256454,12262583,[180,118,33,11,22,10,1,3,0,0,0]],[12262583,12268715,[179,115,39,13,15,13,3,2,0,0,0]],[12268715,12274850,[170,124,39,11,16,16,5,3,0,0,0]],[12274850,12280988,[157,129,38,12,20,14,0,4,0,1,0]],[12280988,12287129,[154,124,36,9,27,12,1,3,0,0,0]],[12287129,12293273,[176,132,40,10,16,10,2,5,0,1,0]],[12293273,12299420,[180,106,43,12,16,11,2,2,0,0,0]],[12299420,12305570,[168,136,34,9,22,9,2,3,0,0,0]],[12305570,12311723,[195,125,36,13,16,11,1,0,0,1,0]],[12311723,12317879,[191,117,30,13,20,14,0,2,0,0,0]],[12317879,12324038,[183,122,38,11,14,14,2,2,0,0,0]],[12324038,12330201,[160,96,46,15,21,9,1,1,0,2,0]],[12330201,12336367,[164,108,41,11,22,18,2,1,0,0,0]],[12336367,12342536,[151,124,46,9,10,15,1,1,0,0,0]],[12342536,12348708,[173,133,42,9,16,10,1,2,0,1,0]],[12348708,12354883,[171,121,39,11,18,16,1,1,0,0,0]],[12354883,12361061,[190,111,33,16,23,13,2,4,0,0,0]],[12361061,12367242,[180,136,52,5,22,17,1,2,0,0,0]],[12367242,12373426,[157,133,39,11,20,15,2,2,0,0,0]],[12373426,12379613,[171,117,41,15,19,13,3,1,0,0,0]],[12379613,12385803,[166,131,46,9,14,13,1,1,0,0,0]],[12385803,12391996,[160,133,32,13,18,11,2,0,0,0,0]],[12391996,12398192,[179,143,33,7,12,10,1,0,0,0,0]],[12398192,12404392,[174,128,38,12,11,14,1,3,0,0,0]],[12404392,12410595,[188,123,26,11,20,11,6,2,0,2,0]],[12410595,12416801,[199,116,37,9,16,14,1,2,0,0,0]],[12416801,12423010,[180,133,37,8,16,5,0,2,0,0,0]],[12423010,12429222,[186,118,33,4,23,9,1,2,0,0,0]],[12429222,12435437,[164,136,36,12,18,9,1,2,0,0,0]],[12435437,12441655,[155,131,38,8,21,12,1,1,0,1,0]],[12441655,12447876,[178,131,38,6,19,9,1,6,0,0,0]],[12447876,12454100,[167,133,31,7,22,16,4,4,0,0,0]],[12454100,12460328,[185,110,40,10,27,9,4,2,0,0,0]],[12460328,12466559,[177,103,45,7,16,13,3,3,0,0,0]],[12466559,12472793,[185,111,36,10,12,16,3,0,0,0,0]],[12472793,12479030,[181,128,38,14,20,17,1,1,0,0,0]],[12479030,12485270,[175,118,42,11,15,9,4,1,0,0,0]],[12485270,12491513,[175,120,57,8,16,10,0,0,0,0,0]],[12491513,12497759,[171,108,38,11,19,9,2,1,0,0,0]],[12497759,12504008,[177,114,37,8,17,5,1,0,0,0,0]],[12504008,12510261,[184,121,45,12,14,5,2,3,0,1,0]],[12510261,12516517,[179,130,45,6,19,9,2,2,0,0,0]],[12516517,12522776,[176,146,28,13,15,21,2,1,0,0,0]],[12522776,12529038,[194,116,40,8,13,16,1,2,0,2,0]],[12529038,12535303,[148,126,36,12,13,17,2,1,0,1,0]],[12535303,12541571,[164,127,36,13,20,9,0,1,0,0,0]],[12541571,12547842,[189,135,33,4,18,6,3,2,0,0,0]],[12547842,12554116,[186,112,40,18,17,13,1,0,0,2,0]],[12554116,12560394,[157,133,43,5,22,10,1,4,0,0,0]],[12560394,12566675,[149,123,47,7,23,10,3,2,0,1,0]],[12566675,12572959,[174,128,35,14,23,12,0,0,0,0,0]],[12572959,12579246,[182,124,38,19,16,6,1,1,0,0,0]],[12579246,12585536,[163,144,38,14,20,15,0,3,0,0,0]],[12585536,12591829,[195,119,29,14,19,7,2,0,0,0,0]],[12591829,12598125,[163,139,34,9,21,10,3,0,0,0,0]],[12598125,12604425,[167,139,40,12,20,10,1,2,0,1,0]],[12604425,12610728,[157,139,49,13,23,18,2,5,0,1,0]],[12610728,12617034,[167,122,39,12,20,12,0,0,0,0,0]],[12617034,12623343,[199,115,36,9,10,14,1,0,0,1,0]],[12623343,12629655,[180,127,40,16,16,12,1,0,0,0,0]],[12629655,12635970,[181,125,32,16,18,15,3,2,0,0,0]],[12635970,12642288,[176,125,39,11,19,17,3,3,0,0,0]],[12642288,12648610,[174,111,43,12,20,12,3,1,0,0,0]],[12648610,12654935,[178,120,32,7,17,15,0,2,0,0,0]],[12654935,12661263,[181,120,41,10,18,16,4,2,0,0,0]],[12661263,12667594,[181,115,35,10,20,11,1,3,0,0,0]],[12667594,12673928,[185,118,40,12,11,14,1,0,0,1,0]],[12673928,12680265,[191,119,42,10,19,13,4,6,0,1,0]],[12680265,12686606,[182,122,36,13,25,12,2,2,0,0,0]],[12686606,12692950,[174,139,34,11,14,7,3,1,0,0,0]],[12692950,12699297,[167,139,50,3,18,10,1,0,0,0,0]],[12699297,12705647,[167,127,47,8,20,12,2,2,0,1,0]],[12705647,12712000,[195,117,35,10,17,14,2,2,0,1,0]],[12712000,12718356,[190,133,45,11,17,18,0,1,0,0,0]],[12718356,12724716,[167,115,51,6,14,18,4,1,0,1,0]],[12724716,12731079,[169,132,41,11,15,17,1,0,0,0,0]],[12731079,12737445,[171,142,45,12,15,20,0,2,0,1,0]],[12737445,12743814,[185,129,46,10,17,15,3,2,0,0,0]],[12743814,12750186,[167,142,32,6,15,11,2,1,0,1,0]],[12750186,12756562,[186,137,42,7,17,4,1,6,0,0,0]],[12756562,12762941,[160,123,50,15,27,15,2,1,0,0,0]],[12762941,12769323,[166,134,41,12,21,10,2,1,0,0,0]],[12769323,12775708,[172,137,42,6,22,14,1,1,0,0,0]],[12775708,12782096,[187,113,45,13,22,16,3,1,0,1,0]],[12782096,12788488,[190,117,27,10,23,6,4,1,0,0,0]],[12788488,12794883,[177,113,55,8,15,18,1,2,0,2,0]],[12794883,12801281,[201,124,34,6,21,11,2,0,0,0,0]],[12801281,12807682,[185,125,29,17,20,14,3,0,0,0,0]],[12807682,12814086,[171,112,42,9,24,17,3,0,0,0,0]],[12814086,12820494,[184,112,41,7,12,20,2,1,0,2,0]],[12820494,12826905,[195,116,32,18,22,13,2,2,0,0,0]],[12826905,12833319,[194,131,38,7,32,12,1,1,0,0,0]],[12833319,12839736,[171,126,44,12,22,11,1,2,0,0,0]],[12839736,12846156,[175,111,31,13,26,19,1,3,0,1,0]],[12846156,12852580,[184,134,35,11,20,15,2,1,0,1,0]],[12852580,12859007,[171,124,46,7,21,13,2,5,0,1,0]],[12859007,12865437,[165,142,50,12,25,13,0,2,0,1,0]],[12865437,12871870,[185,129,41,10,22,13,2,2,0,0,0]],[12871870,12878306,[174,114,40,11,20,9,5,1,0,0,0]],[12878306,12884746,[180,110,40,10,21,6,2,2,0,0,0]],[12884746,12891189,[193,120,42,9,21,9,1,1,0,0,0]],[12891189,12897635,[180,123,42,13,13,16,4,1,0,0,0]],[12897635,12904084,[182,104,53,8,18,12,1,2,0,0,0]],[12904084,12910537,[181,127,35,4,23,15,2,3,0,0,0]],[12910537,12916993,[190,124,34,7,17,4,1,3,0,0,0]],[12916993,12923452,[179,124,46,16,17,11,1,3,0,0,0]],[12923452,12929914,[175,126,45,9,22,10,1,0,0,0,0]],[12929914,12936379,[190,129,27,6,17,19,2,4,0,1,0]],[12936379,12942848,[184,127,38,8,17,9,2,1,0,0,0]],[12942848,12949320,[181,135,44,10,14,13,1,2,0,0,0]],[12949320,12955795,[168,128,48,18,18,11,5,2,0,0,0]],[12955795,12962273,[186,107,42,21,19,11,1,2,0,1,0]],[12962273,12968755,[188,114,41,9,28,4,2,1,0,0,0]],[12968755,12975240,[171,133,46,16,16,19,1,0,0,1,0]],[12975240,12981728,[183,112,35,12,15,10,1,2,0,2,0]],[12981728,12988219,[173,119,40,14,21,13,0,1,0,0,0]],[12988219,12994714,[200,123,41,8,17,11,2,3,0,0,0]],[12994714,13001212,[182,147,41,17,16,15,1,1,0,0,0]],[13001212,13007713,[193,132,47,5,14,11,4,2,0,0,0]],[13007713,13014217,[185,115,45,10,14,17,3,2,0,0,0]],[13014217,13020725,[208,113,45,11,16,14,3,1,0,0,0]],[13020725,13027236,[184,109,33,13,19,15,1,6,0,0,0]],[13027236,13033750,[163,125,44,12,19,11,1,5,0,0,0]],[13033750,13040267,[193,125,45,18,14,12,1,1,0,0,0]],[13040267,13046788,[184,128,37,8,17,7,2,1,0,0,0]],[13046788,13053312,[201,113,36,13,28,20,3,1,0,0,0]],[13053312,13059839,[168,118,41,11,19,9,0,4,0,0,0]],[13059839,13066369,[169,134,51,4,15,9,2,2,0,0,0]],[13066369,13072903,[173,138,34,12,21,11,0,3,0,0,0]],[13072903,13079440,[173,143,33,13,27,18,2,1,0,1,0]],[13079440,13085980,[159,139,41,13,16,12,3,4,0,0,0]],[13085980,13092523,[191,117,30,9,20,9,1,5,0,0,0]],[13092523,13099070,[180,130,46,13,21,5,3,0,0,0,0]],[13099070,13105620,[193,118,36,13,23,9,2,4,0,0,0]],[13105620,13112173,[188,138,46,12,13,5,3,0,0,0,0]],[13112173,13118730,[190,114,30,11,24,9,1,4,0,1,0]],[13118730,13125290,[180,141,40,8,16,16,3,0,0,0,0]],[13125290,13131853,[199,132,40,6,23,6,5,4,0,0,0]],[13131853,13138419,[169,139,37,23,16,16,2,1,0,1,1]],[13138419,13144989,[184,128,39,17,16,13,2,2,0,1,0]],[13144989,13151562,[186,125,38,12,13,16,1,1,0,0,0]],[13151562,13158138,[175,123,49,11,20,18,4,0,0,0,0]],[13158138,13164718,[170,116,36,16,20,11,6,2,0,1,0]],[13164718,13171301,[191,119,41,14,20,9,2,0,0,0,0]],[13171301,13177887,[214,128,43,9,20,7,0,3,0,0,0]],[13177887,13184476,[177,130,54,7,23,4,3,1,0,1,0]],[13184476,13191069,[190,133,43,6,16,18,4,0,0,1,0]],[13191069,13197665,[200,119,43,11,22,10,2,2,0,1,0]],[13197665,13204264,[180,147,43,4,18,9,1,5,0,1,0]],[13204264,13210867,[192,125,34,7,23,8,4,2,0,0,1]],[13210867,13217473,[195,130,52,11,17,7,1,3,0,1,0]],[13217473,13224082,[175,129,39,15,17,13,4,3,0,2,0]],[13224082,13230695,[211,129,36,8,14,6,4,1,0,0,0]],[13230695,13237311,[174,133,47,13,22,11,2,2,0,0,0]],[13237311,13243930,[189,113,35,7,18,16,4,1,0,0,0]],[13243930,13250552,[189,131,36,16,18,10,2,2,0,0,0]],[13250552,13257178,[183,134,41,10,18,11,1,2,0,0,0]],[13257178,13263807,[180,124,41,12,15,11,2,4,0,0,0]],[13263807,13270439,[200,134,33,11,21,16,2,0,0,0,0]],[13270439,13277075,[189,139,45,13,16,12,3,0,0,0,0]],[13277075,13283714,[175,134,43,9,23,13,2,1,0,0,0]],[13283714,13290356,[196,139,27,5,23,10,0,3,0,0,0]],[13290356,13297002,[170,124,37,15,20,13,4,1,0,0,0]],[13297002,13303651,[195,140,42,10,21,15,3,0,0,2,0]],[13303651,13310303,[203,125,38,9,19,11,0,3,0,0,0]],[13310303,13316959,[182,128,47,10,18,26,1,2,0,0,0]],[13316959,13323618,[187,118,46,15,23,13,2,1,0,0,0]],[13323618,13330280,[174,127,39,8,20,13,3,3,0,0,0]],[13330280,13336946,[203,123,48,12,16,15,4,2,0,0,0]],[13336946,13343615,[171,132,50,8,18,12,3,4,0,0,0]],[13343615,13350287,[203,119,40,6,22,13,1,4,0,0,0]],[13350287,13356963,[197,134,31,7,22,12,2,2,0,0,0]],[13356963,13363642,[182,150,40,13,27,5,2,2,0,0,0]],[13363642,13370324,[183,148,20,12,25,14,4,0,0,1,0]],[13370324,13377010,[210,132,34,13,10,8,4,2,0,0,0]],[13377010,13383699,[189,132,34,12,24,14,2,2,0,1,0]],[13383699,13390391,[187,113,31,15,28,15,3,1,0,2,0]],[13390391,13397087,[194,132,37,7,23,15,1,0,0,0,0]],[13397087,13403786,[177,135,51,14,18,20,0,3,0,0,0]],[13403786,13410488,[177,130,36,14,14,13,3,0,0,0,0]],[13410488,13417194,[184,133,39,16,24,7,2,4,0,0,0]],[13417194,13423903,[174,136,42,12,17,10,1,2,0,0,0]],[13423903,13430615,[206,122,35,11,26,13,0,0,0,0,0]],[13430615,13437331,[196,128,39,12,26,10,4,2,0,0,0]],[13437331,13444050,[196,123,45,8,20,10,2,3,0,1,0]],[13444050,13450773,[184,127,32,12,24,22,0,1,0,0,0]],[13450773,13457499,[197,123,37,12,12,12,0,0,0,1,0]],[13457499,13464228,[193,119,42,9,19,15,1,4,0,0,0]],[13464228,13470961,[177,145,34,12,19,19,3,2,0,1,0]],[13470961,13477697,[172,148,41,11,27,9,1,3,0,0,0]],[13477697,13484436,[197,119,48,5,19,11,2,2,0,1,0]],[13484436,13491179,[192,114,42,13,22,15,1,1,0,1,0]],[13491179,13497925,[191,136,49,9,22,12,1,2,0,0,0]],[13497925,13504674,[175,144,34,19,21,17,2,2,0,1,0]],[13504674,13511427,[178,115,39,17,18,13,1,1,0,0,0]],[13511427,13518183,[205,143,36,15,21,11,2,1,0,2,0]],[13518183,13524943,[208,97,42,11,17,13,3,3,0,1,0]],[13524943,13531706,[197,118,46,10,24,15,0,0,0,0,0]],[13531706,13538472,[192,142,38,11,16,15,2,1,0,0,0]],[13538472,13545242,[186,137,36,10,24,11,0,2,0,0,0]],[13545242,13552015,[188,146,40,2,20,9,5,2,0,1,0]],[13552015,13558792,[186,139,43,11,18,11,2,1,0,0,0]],[13558792,13565572,[189,124,33,13,21,14,2,3,0,0,0]],[13565572,13572355,[198,134,43,10,23,14,1,0,0,0,0]],[13572355,13579142,[193,133,32,16,23,14,1,1,0,0,0]],[13579142,13585932,[157,138,54,13,26,16,6,1,0,0,0]],[13585932,13592725,[195,141,41,12,23,12,2,3,0,0,0]],[13592725,13599522,[176,130,33,19,23,16,3,1,0,0,0]],[13599522,13606322,[219,131,33,8,23,12,2,1,0,0,0]],[13606322,13613126,[185,148,42,19,24,17,2,0,0,0,0]],[13613126,13619933,[192,141,37,8,21,11,5,1,0,0,0]],[13619933,13626743,[176,129,39,11,17,5,2,0,0,0,0]],[13626743,13633557,[202,147,39,10,26,16,1,0,0,0,0]],[13633557,13640374,[182,137,41,9,22,16,4,1,0,0,0]],[13640374,13647195,[198,124,46,9,21,14,2,1,0,0,0]],[13647195,13654019,[191,131,37,15,20,16,3,1,0,0,0]],[13654019,13660847,[176,146,57,14,20,13,1,2,0,0,0]],[13660847,13667678,[206,127,34,11,16,21,7,2,0,0,0]],[13667678,13674512,[183,136,44,26,23,12,4,1,0,0,0]],[13674512,13681350,[181,140,45,9,24,13,2,2,0,0,0]],[13681350,13688191,[174,160,33,9,21,19,2,1,0,0,0]],[13688191,13695036,[167,154,37,16,18,9,3,0,0,0,0]],[13695036,13701884,[186,135,39,11,21,12,2,2,0,0,0]],[13701884,13708735,[200,145,35,10,21,18,3,2,0,1,0]],[13708735,13715590,[199,122,36,10,19,15,0,4,0,1,0]],[13715590,13722448,[212,141,36,9,18,12,1,2,0,0,0]],[13722448,13729310,[172,141,54,6,23,8,1,6,0,0,0]],[13729310,13736175,[189,128,43,9,19,10,4,3,0,0,0]],[13736175,13743044,[182,137,42,13,21,9,5,1,0,0,0]],[13743044,13749916,[204,131,42,10,21,13,4,3,0,1,0]],[13749916,13756791,[208,135,47,21,20,13,0,2,0,0,0]],[13756791,13763670,[165,124,45,11,23,12,1,3,0,0,0]],[13763670,13770552,[197,149,28,14,22,14,2,3,0,0,0]],[13770552,13777438,[175,134,36,11,19,14,2,2,0,0,0]],[13777438,13784327,[206,136,45,15,18,19,2,1,0,0,0]],[13784327,13791220,[187,141,45,15,25,20,1,2,0,0,0]],[13791220,13798116,[208,121,53,12,19,16,1,1,0,0,0]],[13798116,13805016,[215,128,28,8,13,8,2,1,0,0,0]],[13805016,13811919,[195,133,46,18,18,13,2,3,0,1,0]],[13811919,13818825,[195,134,39,8,17,19,1,1,0,0,0]],[13818825,13825735,[187,150,35,8,23,12,2,3,0,0,0]],[13825735,13832648,[195,135,40,10,19,16,5,1,0,0,0]],[13832648,13839565,[191,143,27,12,18,9,1,2,0,1,0]],[13839565,13846485,[211,152,41,5,18,11,3,2,0,0,0]],[13846485,13853409,[187,150,55,14,17,13,0,1,0,0,0]],[13853409,13860336,[198,125,35,9,31,17,1,1,0,0,0]],[13860336,13867267,[184,141,41,12,20,6,1,0,0,1,0]],[13867267,13874201,[194,137,44,14,22,18,3,3,0,0,0]],[13874201,13881139,[203,125,43,10,20,15,2,2,0,1,0]],[13881139,13888080,[223,125,48,10,23,12,4,1,0,0,0]],[13888080,13895025,[181,129,47,12,19,14,4,1,0,0,0]],[13895025,13901973,[209,148,48,10,13,13,1,2,0,0,0]],[13901973,13908924,[198,132,54,13,17,12,1,3,0,0,0]],[13908924,13915879,[206,120,49,13,23,11,1,2,0,1,0]],[13915879,13922837,[200,136,38,15,17,17,3,2,0,2,0]],[13922837,13929799,[195,149,35,10,13,15,1,0,0,0,0]],[13929799,13936764,[196,135,35,13,14,13,5,3,0,0,0]],[13936764,13943733,[197,123,45,16,15,16,0,0,0,1,0]],[13943733,13950705,[188,148,42,16,23,13,2,1,0,0,0]],[13950705,13957681,[171,134,49,10,22,18,0,0,0,0,0]],[13957681,13964660,[193,127,48,20,14,12,4,1,0,0,0]],[13964660,13971643,[181,137,42,14,29,13,0,3,0,0,0]],[13971643,13978629,[173,146,37,9,12,19,1,0,0,1,0]],[13978629,13985619,[209,133,47,16,13,14,1,1,0,1,0]],[13985619,13992612,[184,144,41,14,12,12,3,0,0,0,0]],[13992612,13999609,[195,145,46,10,14,14,1,2,0,0,0]],[13999609,14006609,[192,140,42,11,12,11,1,3,0,0,0]],[14006609,14013613,[190,159,42,8,16,12,2,1,0,2,0]],[14013613,14020620,[197,119,43,15,28,12,3,1,0,1,0]],[14020620,14027631,[196,148,51,12,19,12,0,2,0,1,0]],[14027631,14034645,[203,131,52,15,16,13,1,2,0,0,0]],[14034645,14041663,[198,122,42,12,27,14,3,1,0,1,0]],[14041663,14048684,[191,131,34,17,13,17,4,3,0,0,0]],[14048684,14055709,[196,140,43,14,17,11,1,1,0,1,0]],[14055709,14062737,[194,144,42,9,26,14,2,3,0,0,0]],[14062737,14069769,[198,126,47,7,18,8,1,2,0,1,0]],[14069769,14076804,[182,148,45,11,32,20,4,1,0,0,0]],[14076804,14083843,[199,155,33,13,13,14,7,3,0,0,0]],[14083843,14090885,[179,142,41,11,27,20,1,4,0,0,0]],[14090885,14097931,[219,120,35,10,20,13,3,4,0,1,0]],[14097931,14104980,[195,147,39,11,24,11,1,0,0,0,0]],[14104980,14112033,[206,164,46,14,19,11,1,4,0,0,0]],[14112033,14119090,[199,140,33,12,27,8,1,0,0,0,0]],[14119090,14126150,[199,133,34,12,21,14,3,2,0,0,0]],[14126150,14133214,[194,159,41,8,13,12,4,1,0,0,0]],[14133214,14140281,[212,138,43,10,22,14,5,1,0,2,0]],[14140281,14147352,[185,126,50,20,27,5,5,1,0,0,0]],[14147352,14154426,[185,135,36,14,25,17,4,3,0,0,0]],[14154426,14161504,[208,135,44,13,14,13,1,2,0,1,0]],[14161504,14168585,[202,132,42,13,18,15,2,2,0,1,0]],[14168585,14175670,[200,125,50,8,25,18,1,1,0,0,0]],[14175670,14182758,[188,138,47,11,19,15,3,0,0,0,0]],[14182758,14189850,[201,132,47,10,21,9,2,2,0,0,0]],[14189850,14196945,[191,137,43,9,23,11,2,0,0,0,0]],[14196945,14204044,[198,135,41,13,17,9,3,2,0,0,0]],[14204044,14211147,[199,151,37,11,25,13,3,1,0,0,0]],[14211147,14218253,[170,157,42,22,26,8,3,4,0,1,0]],[14218253,14225363,[197,139,39,14,25,11,7,2,0,0,0]],[14225363,14232476,[189,128,44,9,21,21,1,4,0,1,0]],[14232476,14239593,[210,145,44,10,26,13,3,1,0,0,0]],[14239593,14246713,[187,131,57,18,26,11,0,3,0,0,0]],[14246713,14253837,[167,166,43,10,22,18,1,3,0,0,0]],[14253837,14260964,[199,138,47,13,24,9,3,1,0,0,0]],[14260964,14268095,[192,151,44,8,19,16,5,0,0,0,0]],[14268095,14275230,[203,127,50,9,26,20,4,0,0,0,0]],[14275230,14282368,[212,142,49,13,22,9,1,1,0,0,0]],[14282368,14289510,[194,153,50,6,16,22,2,6,0,0,0]],[14289510,14296655,[170,158,35,19,22,12,1,2,0,0,0]],[14296655,14303804,[208,134,31,16,23,5,0,4,0,0,0]],[14303804,14310956,[210,130,41,5,30,15,2,4,0,1,1]],[14310956,14318112,[210,139,44,16,27,13,2,4,0,0,0]],[14318112,14325272,[181,129,36,13,31,11,4,2,0,1,0]],[14325272,14332435,[196,151,47,11,18,17,3,2,0,0,0]],[14332435,14339602,[197,147,47,6,26,12,4,3,0,0,0]],[14339602,14346772,[202,126,49,12,17,18,2,2,0,0,0]],[14346772,14353946,[251,141,38,14,17,9,4,2,0,0,0]],[14353946,14361123,[203,155,43,13,13,18,1,1,0,1,0]],[14361123,14368304,[198,140,38,7,12,22,1,4,0,1,0]],[14368304,14375489,[202,133,38,15,23,17,3,0,0,2,0]],[14375489,14382677,[208,123,59,15,21,16,1,1,0,0,0]],[14382677,14389869,[205,146,51,12,21,13,3,3,0,1,0]],[14389869,14397064,[191,158,44,18,23,14,2,0,0,0,0]],[14397064,14404263,[181,132,49,15,31,11,1,2,0,0,0]],[14404263,14411466,[210,145,43,13,19,5,3,1,0,0,1]],[14411466,14418672,[207,131,49,14,16,16,0,3,0,1,0]],[14418672,14425882,[195,145,41,15,24,11,3,2,0,0,0]],[14425882,14433095,[206,137,47,7,22,11,3,2,0,1,0]],[14433095,14440312,[202,133,32,15,25,9,5,2,0,1,0]],[14440312,14447533,[197,128,57,20,18,15,3,1,0,0,0]],[14447533,14454757,[198,139,47,14,19,12,6,3,0,0,0]],[14454757,14461985,[220,143,29,10,21,9,5,3,0,0,0]],[14461985,14469216,[188,140,44,11,22,11,2,3,0,0,0]],[14469216,14476451,[202,156,42,8,23,11,2,0,0,0,0]],[14476451,14483690,[212,134,53,20,20,19,3,1,0,0,0]],[14483690,14490932,[191,140,48,20,15,8,4,1,0,2,0]],[14490932,14498178,[193,129,55,9,21,14,2,1,0,0,0]],[14498178,14505428,[201,136,53,16,27,11,3,1,0,0,0]],[14505428,14512681,[177,150,45,16,22,13,3,2,0,0,0]],[14512681,14519938,[194,136,44,13,18,11,3,2,0,2,1]],[14519938,14527198,[189,140,58,15,35,14,1,3,0,1,0]],[14527198,14534462,[206,123,37,16,25,22,4,1,0,0,0]],[14534462,14541730,[200,146,47,11,18,17,3,2,0,0,0]],[14541730,14549001,[198,141,35,14,16,20,5,2,0,0,0]],[14549001,14556276,[206,152,42,13,20,12,3,1,0,1,0]],[14556276,14563555,[211,148,48,13,19,7,0,3,0,0,0]],[14563555,14570837,[174,154,49,13,23,18,3,1,0,1,0]],[14570837,14578123,[200,158,38,12,23,10,4,1,0,0,0]],[14578123,14585413,[208,154,42,6,23,15,2,2,0,2,0]],[14585413,14592706,[209,133,47,11,31,12,3,2,0,0,0]],[14592706,14600003,[199,146,42,13,26,19,2,2,0,0,0]],[14600003,14607304,[174,141,42,21,27,17,2,1,0,0,0]],[14607304,14614608,[196,134,49,13,20,13,3,3,0,0,0]],[14614608,14621916,[208,137,47,12,21,16,0,0,0,0,0]],[14621916,14629227,[192,134,45,13,24,17,4,3,0,0,0]],[14629227,14636542,[209,138,47,12,17,13,2,3,0,0,0]],[14636542,14643861,[198,135,55,8,22,13,4,2,0,0,0]],[14643861,14651183,[174,153,40,12,25,15,2,2,0,0,0]],[14651183,14658509,[195,154,50,9,21,16,1,1,0,1,0]],[14658509,14665839,[225,135,50,10,17,19,0,1,0,0,0]],[14665839,14673172,[218,129,41,10,28,11,0,6,0,0,0]],[14673172,14680509,[213,153,37,18,13,13,3,3,0,0,0]],[14680509,14687850,[219,145,42,9,26,12,2,0,0,1,0]],[14687850,14695194,[219,131,44,10,26,18,2,0,0,0,0]],[14695194,14702542,[200,127,37,18,19,16,2,1,0,0,0]],[14702542,14709894,[188,144,57,14,29,18,0,0,0,0,0]],[14709894,14717249,[213,145,46,4,23,18,2,1,0,1,0]],[14717249,14724608,[228,122,43,11,24,12,2,0,0,0,0]],[14724608,14731971,[220,156,36,6,23,15,2,0,0,0,0]],[14731971,14739337,[189,165,41,16,25,11,3,1,0,0,0]],[14739337,14746707,[180,160,44,19,16,10,3,3,0,0,0]],[14746707,14754081,[210,155,36,14,30,9,1,0,0,1,0]],[14754081,14761459,[221,133,40,16,23,10,2,2,0,0,0]],[14761459,14768840,[206,165,39,11,18,14,1,1,0,0,0]],[14768840,14776225,[229,127,62,10,29,15,0,1,0,2,0]],[14776225,14783614,[195,146,47,7,21,16,1,3,0,1,0]],[14783614,14791006,[207,159,40,19,25,9,1,2,0,0,0]],[14791006,14798402,[211,119,47,8,20,17,2,3,0,0,0]],[14798402,14805802,[214,150,48,11,21,14,4,3,0,1,0]],[14805802,14813205,[215,134,37,15,20,13,2,2,0,0,0]],[14813205,14820612,[213,141,40,15,16,13,1,4,0,0,0]],[14820612,14828023,[206,139,38,23,20,6,7,2,0,1,0]],[14828023,14835438,[214,130,52,12,18,19,1,3,0,2,0]],[14835438,14842856,[218,156,45,8,30,15,2,0,0,0,0]],[14842856,14850278,[230,128,39,13,21,7,0,2,0,0,0]],[14850278,14857704,[213,143,42,8,17,19,1,3,0,1,0]],[14857704,14865133,[203,141,51,15,22,14,4,1,0,0,0]],[14865133,14872566,[207,130,52,17,24,14,1,4,0,0,0]],[14872566,14880003,[232,112,38,9,27,18,0,2,0,0,0]],[14880003,14887444,[189,168,38,10,18,10,2,2,0,1,0]],[14887444,14894888,[205,155,53,13,20,8,1,0,0,1,0]],[14894888,14902336,[196,124,63,15,20,20,3,2,0,1,0]],[14902336,14909788,[175,170,40,15,17,16,1,3,0,0,0]],[14909788,14917243,[210,147,49,12,19,8,3,4,0,1,0]],[14917243,14924702,[216,147,37,8,22,12,1,0,0,0,0]],[14924702,14932165,[216,155,49,9,14,11,0,2,0,0,0]],[14932165,14939632,[192,159,49,13,20,14,0,2,0,0,0]],[14939632,14947102,[211,152,52,10,20,13,0,2,0,1,0]],[14947102,14954576,[232,154,36,6,32,9,5,1,0,0,0]],[14954576,14962054,[183,138,44,13,17,15,1,4,0,0,0]],[14962054,14969536,[227,123,43,6,27,15,1,3,0,0,0]],[14969536,14977021,[225,117,42,10,21,19,6,4,0,0,0]],[14977021,14984510,[198,150,42,15,26,15,4,1,0,0,0]],[14984510,14992003,[224,140,45,11,26,11,0,0,0,0,0]],[14992003,14999500,[207,153,41,14,20,16,6,1,0,0,0]],[14999500,15007000,[216,149,51,9,17,9,0,2,0,1,0]],[15007000,15014504,[219,138,39,10,21,13,2,0,0,0,0]],[15014504,15022012,[209,150,46,8,25,15,1,2,0,0,0]],[15022012,15029524,[199,158,42,12,27,19,5,3,0,0,0]],[15029524,15037039,[180,161,52,15,30,10,3,2,0,0,0]],[15037039,15044558,[219,154,43,13,22,10,1,1,0,1,0]],[15044558,15052081,[206,145,41,14,29,16,5,0,0,1,0]],[15052081,15059608,[197,160,50,9,18,19,4,2,0,0,0]],[15059608,15067138,[190,158,43,12,26,8,3,1,0,1,0]],[15067138,15074672,[214,131,42,17,17,13,5,2,0,0,0]],[15074672,15082210,[190,163,41,10,19,22,4,1,0,0,0]],[15082210,15089752,[222,146,38,17,30,18,3,2,0,1,0]],[15089752,15097297,[205,149,37,21,28,9,3,2,0,0,0]],[15097297,15104846,[202,152,37,12,25,22,5,2,0,1,0]],[15104846,15112399,[217,141,42,9,23,15,1,2,0,0,0]],[15112399,15119956,[184,168,45,14,20,16,1,0,0,0,0]],[15119956,15127516,[196,165,48,12,25,14,1,4,0,0,0]],[15127516,15135080,[212,149,32,18,23,15,3,2,0,0,0]],[15135080,15142648,[204,144,34,9,33,15,1,3,0,0,0]],[15142648,15150220,[213,160,40,16,20,13,2,2,0,0,0]],[15150220,15157796,[215,141,49,11,22,7,4,5,0,0,0]],[15157796,15165375,[202,176,55,9,26,11,2,2,0,0,0]],[15165375,15172958,[210,163,53,9,18,16,3,2,0,0,0]],[15172958,15180545,[202,140,49,6,19,12,3,6,0,0,0]],[15180545,15188136,[207,134,39,14,29,12,3,1,0,0,0]],[15188136,15195731,[216,129,51,15,28,14,1,2,0,1,0]],[15195731,15203329,[218,151,33,11,16,17,0,2,0,0,0]],[15203329,15210931,[203,152,44,18,24,18,0,0,0,1,0]],[15210931,15218537,[207,140,53,18,23,19,1,2,0,0,0]],[15218537,15226147,[197,168,41,14,17,13,1,1,0,0,0]],[15226147,15233761,[228,142,61,10,24,8,1,1,0,1,0]],[15233761,15241378,[200,153,51,14,23,17,2,2,0,0,0]],[15241378,15248999,[216,165,48,7,23,11,2,1,0,0,0]],[15248999,15256624,[202,159,37,18,24,15,2,4,0,0,0]],[15256624,15264253,[212,153,45,17,24,16,2,5,0,0,0]],[15264253,15271886,[198,150,44,17,31,17,3,2,0,1,0]],[15271886,15279522,[207,153,48,12,19,19,3,3,0,0,0]],[15279522,15287162,[209,164,33,17,21,12,3,1,0,1,0]],[15287162,15294806,[238,139,36,16,25,7,4,2,0,0,0]],[15294806,15302454,[218,138,42,18,23,15,4,2,0,0,0]],[15302454,15310106,[211,124,45,17,33,17,1,6,0,0,0]],[15310106,15317762,[220,150,37,14,29,15,3,2,0,1,0]],[15317762,15325421,[220,136,50,12,28,15,1,3,0,1,0]],[15325421,15333084,[212,145,45,9,22,11,2,3,0,0,0]],[15333084,15340751,[207,150,51,11,25,11,3,2,0,1,0]],[15340751,15348422,[218,158,50,10,17,15,6,0,0,0,0]],[15348422,15356097,[228,144,52,11,21,11,3,0,0,1,0]],[15356097,15363776,[210,154,50,7,22,26,3,2,0,0,0]],[15363776,15371458,[209,124,39,14,23,12,0,4,0,0,0]],[15371458,15379144,[210,148,50,17,24,16,2,4,0,0,0]],[15379144,15386834,[176,159,45,16,23,20,1,0,0,0,0]],[15386834,15394528,[218,162,38,10,12,18,4,1,0,0,0]],[15394528,15402226,[214,126,47,12,27,13,3,2,0,2,0]],[15402226,15409928,[198,161,54,7,16,16,4,0,0,2,0]],[15409928,15417633,[214,125,63,16,23,25,2,1,0,1,0]],[15417633,15425342,[235,131,44,10,24,16,4,4,0,0,0]],[15425342,15433055,[211,135,52,16,23,16,4,1,0,1,0]],[15433055,15440772,[212,140,48,14,21,17,1,2,0,1,0]],[15440772,15448493,[206,162,36,12,23,16,1,1,0,0,0]],[15448493,15456218,[224,152,48,7,28,17,1,0,0,0,0]],[15456218,15463947,[230,137,48,10,23,12,3,2,0,1,0]],[15463947,15471679,[219,136,39,15,28,18,2,2,0,1,0]],[15471679,15479415,[210,151,54,18,26,17,3,2,0,2,0]],[15479415,15487155,[218,145,48,13,26,10,0,1,0,0,0]],[15487155,15494899,[220,153,36,12,17,16,3,2,0,0,0]],[15494899,15502647,[246,137,46,12,30,15,1,1,0,0,0]],[15502647,15510399,[217,167,51,12,14,16,1,0,0,0,0]],[15510399,15518155,[216,157,47,15,21,16,1,1,0,0,0]],[15518155,15525915,[232,157,43,9,21,14,3,2,0,0,0]],[15525915,15533678,[211,156,46,15,25,14,2,0,0,0,0]],[15533678,15541445,[212,158,43,15,23,11,4,3,0,0,0]],[15541445,15549216,[195,160,52,17,23,18,1,1,0,0,0]],[15549216,15556991,[228,145,57,15,29,22,2,2,0,0,0]],[15556991,15564770,[206,147,50,19,28,20,3,2,0,1,0]],[15564770,15572553,[200,157,51,12,25,11,3,3,0,2,0]],[15572553,15580340,[214,157,50,11,26,8,1,1,0,0,0]],[15580340,15588131,[200,160,54,11,26,15,3,3,0,0,0]],[15588131,15595926,[229,156,42,14,29,19,2,3,0,0,1]],[15595926,15603724,[212,152,32,18,17,17,0,1,0,0,0]],[15603724,15611526,[219,142,37,23,29,29,2,0,0,0,0]],[15611526,15619332,[221,154,44,9,26,9,0,3,0,1,0]],[15619332,15627142,[194,157,55,17,25,16,5,2,0,0,0]],[15627142,15634956,[225,143,45,15,20,21,1,2,0,0,0]],[15634956,15642774,[215,159,41,14,21,16,3,2,0,1,0]],[15642774,15650596,[221,147,40,6,23,17,2,3,0,2,0]],[15650596,15658422,[232,150,46,12,22,14,4,5,0,0,0]],[15658422,15666252,[228,173,42,14,19,15,1,5,0,0,0]],[15666252,15674086,[209,154,46,17,25,8,3,3,0,0,0]],[15674086,15681924,[239,139,39,9,17,16,2,5,0,0,0]],[15681924,15689765,[228,133,47,12,23,21,5,2,0,0,0]],[15689765,15697610,[220,144,41,16,24,14,3,1,0,1,0]],[15697610,15705459,[221,151,50,16,20,15,2,2,0,0,0]],[15705459,15713312,[214,160,51,13,27,14,2,0,0,1,0]],[15713312,15721169,[226,152,33,15,24,17,2,2,0,0,0]],[15721169,15729030,[220,137,43,11,23,19,2,2,0,0,0]],[15729030,15736895,[223,153,34,14,22,18,3,6,0,0,0]],[15736895,15744764,[219,158,46,17,27,13,4,2,0,2,0]],[15744764,15752637,[221,145,48,7,27,18,5,3,0,0,0]],[15752637,15760514,[219,138,42,20,27,19,6,0,0,0,0]],[15760514,15768395,[232,144,50,9,27,11,2,3,0,1,0]],[15768395,15776280,[212,151,48,15,19,9,1,5,0,0,0]],[15776280,15784169,[225,165,42,9,20,8,0,0,0,0,0]],[15784169,15792062,[222,151,36,23,16,11,5,3,0,0,0]],[15792062,15799959,[225,157,43,11,22,12,4,3,0,0,0]],[15799959,15807859,[204,151,47,18,32,20,4,1,0,1,0]],[15807859,15815763,[213,153,50,11,21,17,2,1,0,1,0]],[15815763,15823671,[227,144,39,14,21,19,2,6,0,2,0]],[15823671,15831583,[229,149,51,19,25,12,2,3,0,0,0]],[15831583,15839499,[226,158,45,10,23,7,2,8,0,0,0]],[15839499,15847419,[227,145,52,15,22,23,2,1,0,0,0]],[15847419,15855343,[235,165,55,18,28,9,4,2,0,0,0]],[15855343,15863271,[208,166,43,17,19,19,2,2,0,0,1]],[15863271,15871203,[219,152,52,15,25,17,1,1,0,0,0]],[15871203,15879139,[223,155,49,12,22,14,7,0,0,1,0]],[15879139,15887079,[221,143,58,17,20,16,3,2,0,1,0]],[15887079,15895023,[206,160,38,13,22,17,8,2,0,0,0]],[15895023,15902971,[225,167,43,11,21,12,5,3,0,0,0]],[15902971,15910923,[205,154,51,9,27,14,2,4,0,0,0]],[15910923,15918879,[216,157,44,15,23,12,5,0,0,0,0]],[15918879,15926839,[227,163,46,14,18,18,4,3,0,0,0]],[15926839,15934803,[227,166,44,13,23,21,3,3,0,0,0]],[15934803,15942771,[232,149,43,13,22,11,0,0,0,0,0]],[15942771,15950743,[222,131,45,15,30,20,2,2,0,0,0]],[15950743,15958719,[224,142,55,9,30,20,2,2,0,1,0]],[15958719,15966699,[230,145,49,10,29,17,4,2,0,0,0]],[15966699,15974683,[218,145,55,14,21,16,2,5,0,1,0]],[15974683,15982671,[223,152,47,13,21,14,4,3,0,1,0]],[15982671,15990663,[230,169,40,15,16,14,2,3,0,0,0]],[15990663,15998659,[216,156,49,14,20,20,5,2,0,0,0]],[15998659,16006659,[223,148,58,9,17,11,3,3,0,0,0]],[16006659,16014663,[211,163,54,7,27,18,2,0,0,0,0]],[16014663,16022671,[233,151,47,17,19,12,3,1,0,1,0]],[16022671,16030683,[229,145,52,20,20,14,4,3,0,0,0]],[16030683,16038699,[194,162,66,9,23,17,1,2,0,0,0]],[16038699,16046719,[203,174,44,13,31,15,2,1,0,0,1]],[16046719,16054743,[216,152,44,11,25,17,0,3,0,0,0]],[16054743,16062771,[215,133,47,15,24,20,0,0,0,0,0]],[16062771,16070803,[246,162,49,16,22,10,3,7,0,0,0]],[16070803,16078839,[240,140,51,18,33,20,2,2,0,0,0]],[16078839,16086879,[225,149,40,12,21,10,2,2,0,0,0]],[16086879,16094923,[227,141,55,12,31,11,2,3,0,0,0]],[16094923,16102971,[232,163,44,9,24,15,1,2,0,0,0]],[16102971,16111023,[206,140,50,18,33,16,5,1,0,0,0]],[16111023,16119079,[208,176,40,9,29,20,2,0,0,0,0]],[16119079,16127139,[223,158,53,16,27,9,3,7,0,0,0]],[16127139,16135203,[222,164,44,12,21,10,3,4,0,0,0]],[16135203,16143271,[214,168,54,12,24,20,2,4,0,1,0]],[16143271,16151343,[230,163,48,9,15,15,2,1,0,0,0]],[16151343,16159419,[215,138,49,18,27,13,2,0,0,0,0]],[16159419,16167499,[197,182,49,18,24,16,2,2,0,0,0]],[16167499,16175583,[217,161,45,13,20,17,3,1,0,0,0]],[16175583,16183671,[224,162,42,15,26,17,1,2,0,0,0]],[16183671,16191763,[225,160,38,10,35,8,1,3,0,1,0]],[16191763,16199859,[229,168,46,10,20,15,4,3,0,0,0]],[16199859,16207959,[222,164,43,22,30,17,3,2,0,1,0]],[16207959,16216063,[227,171,42,13,23,10,2,6,0,0,0]],[16216063,16224172,[221,161,45,14,21,22,4,3,0,0,0]],[16224172,16232285,[231,156,55,12,26,9,0,2,0,0,0]],[16232285,16240402,[231,164,45,12,26,16,0,1,0,1,0]],[16240402,16248523,[222,168,41,15,21,10,3,1,0,0,0]],[16248523,16256648,[232,164,43,17,16,14,3,3,0,1,0]],[16256648,16264777,[226,156,46,16,28,16,2,2,0,0,0]],[16264777,16272910,[253,148,40,20,18,17,5,2,0,0,0]],[16272910,16281047,[202,164,55,11,27,12,1,1,0,0,0]],[16281047,16289188,[220,164,58,16,18,14,1,2,0,1,0]],[16289188,16297333,[212,177,49,14,25,19,1,0,0,1,0]],[16297333,16305482,[232,150,62,12,22,17,5,0,0,0,0]],[16305482,16313635,[235,168,46,13,13,12,2,1,0,0,0]],[16313635,16321792,[220,145,44,8,27,15,4,2,0,0,0]],[16321792,16329953,[213,148,55,11,25,19,4,3,0,0,0]],[16329953,16338118,[206,174,50,15,14,19,1,3,0,0,0]],[16338118,16346288,[206,141,63,14,33,14,4,3,0,0,0]],[16346288,16354462,[220,153,57,19,26,17,3,5,0,0,0]],[16354462,16362640,[224,149,51,17,19,18,1,1,0,0,0]],[16362640,16370822,[222,161,42,19,23,16,2,0,0,0,0]],[16370822,16379008,[221,174,44,15,30,14,2,2,0,1,0]],[16379008,16387198,[229,166,38,19,16,20,3,3,0,0,0]],[16387198,16395392,[203,178,51,19,33,9,1,7,0,0,0]],[16395392,16403590,[218,173,51,11,20,4,4,2,0,0,0]],[16403590,16411792,[243,166,41,12,23,9,2,1,0,0,0]],[16411792,16419998,[222,158,48,13,26,15,3,0,0,1,0]],[16419998,16428208,[226,195,40,14,26,19,3,2,0,1,0]],[16428208,16436423,[225,162,49,14,28,9,3,4,0,0,0]],[16436423,16444642,[201,174,46,18,27,27,3,1,0,0,0]],[16444642,16452865,[209,162,46,16,26,18,3,0,0,0,0]],[16452865,16461092,[208,153,57,21,19,21,2,0,0,0,0]],[16461092,16469323,[222,159,66,19,19,11,3,0,0,1,0]],[16469323,16477558,[249,159,44,9,24,21,2,4,0,0,0]],[16477558,16485797,[228,153,47,6,22,17,6,4,0,2,0]],[16485797,16494040,[247,165,56,15,28,10,2,1,0,1,0]],[16494040,16502288,[227,159,58,15,20,13,3,3,0,0,0]],[16502288,16510540,[219,178,45,13,27,12,1,4,0,0,0]],[16510540,16518796,[198,156,45,14,26,17,4,4,0,0,0]],[16518796,16527056,[252,150,52,11,22,18,0,2,0,1,0]],[16527056,16535320,[243,155,45,12,30,8,0,2,0,0,0]],[16535320,16543588,[246,141,40,20,30,17,1,0,0,0,0]],[16543588,16551860,[217,165,44,10,16,14,2,1,0,0,0]],[16551860,16560136,[219,152,55,19,19,19,6,0,0,0,0]],[16560136,16568417,[215,175,53,19,23,16,6,1,0,0,0]],[16568417,16576702,[213,158,40,11,33,8,5,2,0,0,0]],[16576702,16584991,[246,145,50,12,31,21,3,4,0,0,0]],[16584991,16593284,[239,172,59,13,18,19,2,2,0,0,0]],[16593284,16601581,[251,151,54,14,25,10,2,0,0,0,0]],[16601581,16609882,[238,173,51,13,19,13,3,1,0,0,0]],[16609882,16618187,[223,152,59,10,35,22,5,5,0,0,0]],[16618187,16626497,[242,153,44,18,23,10,0,0,0,0,0]],[16626497,16634811,[221,159,37,15,27,26,4,3,0,1,0]],[16634811,16643129,[231,162,54,10,17,16,6,2,0,0,0]],[16643129,16651451,[237,174,43,12,26,15,2,2,0,0,0]],[16651451,16659777,[240,169,45,9,21,19,4,4,0,0,0]],[16659777,16668107,[229,150,60,19,18,5,0,2,0,0,0]],[16668107,16676442,[229,164,54,18,28,19,2,0,0,1,0]],[16676442,16684781,[217,179,52,12,26,15,1,0,0,1,0]],[16684781,16693124,[241,147,54,13,23,18,5,1,0,0,0]],[16693124,16701471,[227,144,50,14,25,11,2,3,0,1,0]],[16701471,16709822,[232,181,37,10,31,14,0,2,0,0,0]],[16709822,16718177,[233,175,52,7,18,14,2,3,0,0,0]],[16718177,16726537,[229,147,54,8,33,18,2,2,0,1,0]],[16726537,16734901,[240,167,35,12,49,15,2,1,0,0,0]],[16734901,16743269,[237,164,45,23,24,16,1,6,0,1,0]],[16743269,16751641,[209,174,57,6,21,23,7,1,0,1,0]],[16751641,16760017,[257,152,46,11,24,16,5,1,0,0,0]],[16760017,16768398,[219,163,51,14,31,13,1,3,0,0,0]],[16768398,16776783,[240,176,38,12,26,14,3,3,0,1,0]],[16776783,16785172,[221,162,49,6,29,23,7,3,0,0,0]],[16785172,16793565,[251,156,61,14,19,20,4,1,0,1,0]],[16793565,16801962,[227,168,52,18,27,13,4,1,0,1,0]],[16801962,16810363,[237,167,45,10,25,10,1,2,0,1,0]],[16810363,16818769,[248,155,53,19,32,16,3,1,0,0,0]],[16818769,16827179,[234,158,45,12,26,12,4,2,0,0,0]],[16827179,16835593,[212,179,46,12,30,10,6,1,0,1,0]],[16835593,16844011,[236,163,48,10,28,16,6,1,0,0,0]],[16844011,16852434,[233,173,46,19,17,6,2,0,0,1,0]],[16852434,16860861,[218,158,55,16,27,26,2,1,0,0,0]],[16860861,16869292,[252,141,45,16,25,16,5,2,0,0,0]],[16869292,16877727,[234,153,54,16,25,21,4,1,0,0,0]],[16877727,16886166,[215,161,51,16,27,15,2,2,0,1,0]],[16886166,16894610,[235,171,53,14,24,10,1,4,0,0,0]],[16894610,16903058,[242,164,49,12,25,24,3,3,0,0,0]],[16903058,16911510,[238,154,51,3,28,19,4,3,0,0,0]],[16911510,16919966,[249,149,57,15,35,7,2,2,0,1,0]],[16919966,16928426,[216,172,56,12,24,12,4,1,0,0,0]],[16928426,16936891,[212,177,50,17,31,16,0,3,0,0,0]],[16936891,16945360,[242,164,57,20,24,16,2,1,0,0,0]],[16945360,16953833,[247,173,52,11,24,19,3,2,0,0,0]],[16953833,16962310,[242,178,50,20,27,14,3,3,0,1,0]],[16962310,16970792,[240,151,54,9,23,13,2,3,0,0,0]],[16970792,16979278,[238,177,53,12,27,19,1,4,0,1,0]],[16979278,16987768,[220,173,43,14,26,22,3,3,0,1,0]],[16987768,16996262,[225,153,65,21,26,16,4,3,0,0,0]],[16996262,17004761,[219,181,51,12,22,17,1,2,0,1,0]],[17004761,17013264,[244,187,44,14,19,25,5,1,0,0,0]],[17013264,17021771,[232,164,52,19,16,13,3,3,0,0,0]],[17021771,17030282,[256,153,47,17,23,15,6,2,0,0,0]],[17030282,17038798,[233,178,52,12,20,11,3,3,0,1,0]],[17038798,17047318,[222,161,46,12,22,24,4,2,0,1,0]],[17047318,17055842,[217,153,45,16,29,19,1,4,0,0,0]],[17055842,17064370,[233,181,47,12,26,25,4,4,0,0,0]],[17064370,17072903,[257,168,49,13,19,21,3,1,0,0,0]],[17072903,17081440,[250,157,47,18,26,19,0,3,0,0,0]],[17081440,17089981,[218,165,43,15,20,28,5,3,0,0,0]],[17089981,17098526,[250,168,51,11,31,16,2,2,0,0,0]],[17098526,17107076,[239,165,54,15,18,9,2,1,0,0,0]],[17107076,17115630,[232,160,62,14,20,19,4,3,0,0,0]],[17115630,17124188,[225,164,60,12,30,13,2,3,0,0,0]],[17124188,17132751,[241,156,59,17,22,16,2,3,0,0,0]],[17132751,17141318,[222,161,55,10,29,20,1,0,0,1,0]],[17141318,17149889,[249,168,54,7,19,15,2,2,0,0,0]],[17149889,17158464,[208,171,70,13,19,16,4,4,0,0,0]],[17158464,17167044,[218,150,50,22,34,14,4,2,0,0,0]],[17167044,17175628,[241,160,51,12,31,14,1,1,0,0,0]],[17175628,17184216,[210,167,56,18,20,21,1,1,0,0,0]],[17184216,17192809,[234,181,52,11,21,12,2,3,0,0,0]],[17192809,17201406,[222,168,55,12,25,10,3,3,0,0,0]],[17201406,17210007,[242,159,54,16,23,15,3,3,0,0,0]],[17210007,17218613,[231,171,60,17,17,15,1,2,0,1,0]],[17218613,17227223,[219,169,57,17,25,19,1,3,0,0,0]],[17227223,17235837,[248,175,55,13,28,18,1,4,0,1,0]],[17235837,17244455,[255,159,53,12,28,14,1,2,0,1,0]],[17244455,17253078,[210,176,48,14,26,10,2,4,0,1,0]],[17253078,17261705,[232,174,64,19,21,14,6,0,0,1,0]],[17261705,17270336,[243,146,48,23,26,10,3,2,0,0,0]],[17270336,17278972,[243,179,47,17,28,12,4,1,0,0,0]],[17278972,17287612,[222,176,46,21,30,15,4,0,0,0,0]],[17287612,17296256,[228,172,59,18,22,30,5,1,0,1,0]],[17296256,17304905,[247,183,51,13,24,8,1,2,0,0,0]],[17304905,17313558,[228,173,50,21,17,21,3,2,0,0,0]],[17313558,17322215,[265,193,40,17,27,14,2,1,0,0,0]],[17322215,17330877,[249,151,63,17,27,28,4,2,0,0,0]],[17330877,17339543,[222,159,56,16,31,21,4,2,0,0,0]],[17339543,17348213,[248,154,54,19,26,17,3,2,0,0,0]],[17348213,17356888,[232,161,47,15,31,9,3,5,0,0,0]],[17356888,17365567,[227,169,51,18,24,17,4,1,0,0,0]],[17365567,17374250,[258,147,49,14,24,22,6,3,0,1,0]],[17374250,17382938,[236,160,50,15,32,18,4,3,0,1,0]],[17382938,17391630,[246,158,56,17,33,9,3,3,0,0,0]],[17391630,17400326,[267,161,50,15,21,12,2,1,0,0,0]],[17400326,17409027,[249,173,46,19,31,19,4,3,0,0,0]],[17409027,17417732,[250,177,60,13,26,13,4,3,0,0,0]],[17417732,17426441,[231,144,59,15,36,9,3,1,0,1,0]],[17426441,17435155,[245,185,42,10,21,16,6,2,0,0,0]],[17435155,17443873,[249,159,54,17,23,15,5,2,0,0,0]],[17443873,17452595,[227,172,67,16,18,15,3,3,0,0,0]],[17452595,17461322,[225,177,62,11,21,14,3,1,0,1,0]],[17461322,17470053,[232,192,34,13,33,14,0,5,0,0,0]],[17470053,17478789,[260,168,63,18,23,12,2,5,0,0,0]],[17478789,17487529,[256,145,65,17,28,19,1,3,0,1,0]],[17487529,17496273,[240,186,49,15,18,19,3,0,0,0,0]],[17496273,17505022,[233,192,56,24,29,16,2,4,0,0,0]],[17505022,17513775,[259,158,52,14,19,12,2,3,0,0,0]],[17513775,17522532,[219,165,56,15,25,19,6,2,0,0,0]],[17522532,17531294,[249,176,48,13,22,13,2,3,0,0,0]],[17531294,17540060,[228,189,44,14,24,14,0,2,0,1,0]],[17540060,17548831,[243,184,47,22,33,15,4,4,0,0,0]],[17548831,17557606,[250,169,41,11,26,13,2,3,0,0,0]],[17557606,17566385,[248,172,47,11,26,20,2,0,0,0,0]],[17566385,17575169,[230,179,64,22,20,16,1,1,0,0,0]],[17575169,17583957,[244,180,52,26,20,15,3,1,0,0,0]],[17583957,17592749,[236,167,64,17,19,14,6,0,0,3,0]],[17592749,17601546,[249,156,48,11,28,14,2,1,0,0,0]],[17601546,17610347,[222,175,60,12,23,20,3,3,0,0,0]],[17610347,17619153,[266,159,51,13,20,13,2,0,0,0,0]],[17619153,17627963,[225,192,57,14,35,20,1,3,0,0,0]],[17627963,17636777,[241,164,57,14,29,22,7,3,0,0,0]],[17636777,17645596,[255,158,58,14,29,14,3,2,0,0,0]],[17645596,17654419,[242,156,43,15,29,13,3,2,0,0,0]],[17654419,17663247,[239,178,50,13,25,16,0,4,0,0,0]],[17663247,17672079,[239,170,48,7,22,14,4,3,0,1,0]],[17672079,17680916,[261,154,58,14,21,15,4,0,0,0,0]],[17680916,17689757,[240,182,56,14,22,12,9,3,0,0,0]],[17689757,17698602,[240,181,58,16,28,17,5,2,0,0,0]],[17698602,17707452,[255,178,51,17,15,12,3,1,0,0,0]],[17707452,17716306,[236,150,65,19,19,12,3,1,0,2,0]],[17716306,17725165,[246,168,47,13,30,14,1,4,0,0,0]],[17725165,17734028,[265,163,65,10,22,19,0,3,0,0,0]],[17734028,17742896,[242,172,55,12,17,17,2,2,0,0,0]],[17742896,17751768,[227,170,57,14,18,11,2,1,0,0,0]],[17751768,17760644,[236,169,48,22,29,18,5,6,0,2,0]],[17760644,17769525,[228,182,43,16,29,14,6,3,0,0,0]],[17769525,17778410,[246,188,57,14,23,12,4,4,0,0,0]],[17778410,17787300,[248,184,52,8,22,18,1,5,0,0,0]],[17787300,17796194,[242,182,72,17,34,16,8,4,0,0,0]],[17796194,17805093,[231,186,42,12,20,14,2,4,0,0,0]],[17805093,17813996,[244,174,57,11,27,18,1,1,0,0,0]],[17813996,17822903,[261,167,42,10,29,16,3,2,0,1,0]],[17822903,17831815,[239,173,49,17,18,17,0,3,0,1,0]],[17831815,17840731,[250,154,46,16,30,21,4,1,0,1,0]],[17840731,17849652,[233,188,52,11,23,15,0,3,0,0,0]],[17849652,17858577,[216,182,65,11,30,13,4,3,0,0,0]],[17858577,17867507,[274,182,56,13,22,19,5,2,0,0,0]],[17867507,17876441,[262,157,49,16,25,18,4,2,0,1,0]],[17876441,17885380,[238,170,43,15,36,16,5,2,0,0,0]],[17885380,17894323,[256,163,44,11,32,20,6,3,0,2,0]],[17894323,17903271,[248,184,48,20,24,11,2,5,0,0,0]],[17903271,17912223,[239,169,45,15,26,17,3,1,0,1,0]],[17912223,17921180,[231,185,45,16,28,19,2,3,0,0,0]],[17921180,17930141,[238,189,53,20,22,18,3,2,0,0,0]],[17930141,17939107,[264,164,70,10,22,10,3,2,0,0,0]],[17939107,17948077,[242,167,66,20,24,20,3,3,0,0,0]],[17948077,17957052,[277,180,42,11,35,18,2,2,0,2,0]],[17957052,17966031,[265,175,61,12,24,13,5,2,0,0,0]],[17966031,17975015,[246,183,53,18,26,15,2,3,0,0,0]],[17975015,17984003,[246,185,59,17,14,19,2,2,0,0,0]],[17984003,17992996,[275,155,56,12,22,17,1,5,0,0,0]],[17992996,18001993,[259,178,47,17,30,10,2,1,0,0,0]],[18001993,18010994,[222,174,57,13,29,18,4,0,0,0,0]],[18010994,18020000,[247,177,51,10,26,15,4,5,0,0,0]],[18020000,18029010,[227,184,51,13,34,10,2,5,0,1,0]],[18029010,18038025,[237,163,59,21,29,18,5,5,0,1,0]],[18038025,18047045,[245,160,53,22,29,11,4,2,0,0,0]],[18047045,18056069,[230,190,61,11,28,17,3,2,0,1,0]],[18056069,18065098,[236,167,57,26,30,15,2,3,0,0,0]],[18065098,18074131,[238,159,54,6,40,16,2,2,0,2,0]],[18074131,18083169,[235,172,57,21,32,22,2,1,0,0,0]],[18083169,18092211,[223,172,53,18,22,19,3,4,0,1,0]],[18092211,18101258,[265,170,61,14,28,13,4,3,0,3,0]],[18101258,18110309,[246,211,37,7,29,20,1,1,0,0,0]],[18110309,18119365,[237,166,62,23,26,19,3,0,0,0,0]],[18119365,18128425,[238,183,36,22,30,13,4,2,0,1,0]],[18128425,18137490,[236,178,60,14,33,15,2,4,0,0,0]],[18137490,18146559,[257,183,62,11,29,12,1,0,0,3,0]],[18146559,18155633,[249,164,49,16,22,14,4,2,0,0,0]],[18155633,18164711,[252,152,63,16,30,17,3,1,0,0,0]],[18164711,18173794,[247,194,51,9,23,19,3,2,0,0,0]],[18173794,18182881,[266,157,39,17,34,20,1,4,0,0,0]],[18182881,18191973,[248,154,60,13,25,16,2,2,0,0,0]],[18191973,18201069,[260,166,43,14,32,23,5,2,0,1,0]],[18201069,18210170,[234,176,53,18,28,15,2,1,0,0,0]],[18210170,18219276,[244,184,62,16,30,12,3,6,0,1,0]],[18219276,18228386,[249,174,51,13,23,19,4,3,0,0,0]],[18228386,18237501,[274,194,58,13,26,17,4,1,0,0,0]],[18237501,18246620,[251,195,56,12,33,23,1,3,0,0,0]],[18246620,18255744,[235,189,56,9,31,17,0,3,0,0,0]],[18255744,18264872,[258,175,48,16,30,24,1,2,0,0,0]],[18264872,18274005,[272,169,40,12,29,21,3,1,0,1,0]],[18274005,18283143,[273,153,58,15,32,20,3,5,0,0,0]],[18283143,18292285,[242,176,60,11,28,19,3,6,0,0,0]],[18292285,18301432,[256,165,59,13,29,9,4,5,0,0,0]],[18301432,18310583,[257,181,66,15,33,15,3,3,0,0,0]],[18310583,18319739,[266,180,66,6,20,13,1,2,0,1,0]],[18319739,18328899,[260,173,70,18,26,12,1,4,0,0,0]],[18328899,18338064,[245,184,49,20,23,16,3,2,0,0,0]],[18338064,18347234,[249,180,46,11,23,19,2,2,0,1,0]],[18347234,18356408,[257,172,40,12,26,20,2,2,0,0,0]],[18356408,18365587,[226,189,43,17,28,17,3,3,0,0,0]],[18365587,18374770,[241,181,50,15,30,18,5,3,0,0,0]],[18374770,18383958,[240,188,49,19,31,16,4,2,0,0,0]],[18383958,18393150,[262,165,45,13,24,22,5,3,0,1,0]],[18393150,18402347,[255,184,39,18,29,24,4,4,0,0,0]],[18402347,18411549,[255,180,62,15,34,22,2,3,0,0,0]],[18411549,18420755,[257,191,52,14,25,14,2,3,0,0,0]],[18420755,18429966,[252,149,53,13,28,16,1,3,0,0,0]],[18429966,18439181,[280,176,49,13,31,15,0,2,0,0,0]],[18439181,18448401,[257,191,49,16,26,11,4,3,0,0,0]],[18448401,18457626,[247,177,55,11,26,22,1,2,0,0,0]],[18457626,18466855,[252,179,50,20,30,15,8,2,0,1,0]],[18466855,18476089,[228,174,61,18,15,20,1,0,0,2,0]],[18476089,18485328,[213,203,63,26,29,18,3,0,0,0,0]],[18485328,18494571,[264,171,43,20,22,16,3,2,0,0,0]],[18494571,18503819,[237,178,53,18,28,13,4,2,0,0,0]],[18503819,18513071,[254,176,55,12,26,16,4,4,0,1,0]],[18513071,18522328,[228,202,47,14,38,16,6,2,0,1,0]],[18522328,18531590,[258,179,54,16,22,27,3,2,0,3,0]],[18531590,18540856,[263,193,44,12,22,13,0,2,0,1,0]],[18540856,18550127,[256,168,55,15,39,11,1,2,0,0,0]],[18550127,18559403,[254,185,51,13,33,24,7,3,0,0,0]],[18559403,18568683,[271,173,41,14,31,14,1,3,0,0,0]],[18568683,18577968,[250,196,47,13,23,20,5,6,0,0,0]],[18577968,18587257,[235,209,59,12,24,17,3,1,0,2,0]],[18587257,18596551,[242,196,64,17,25,26,3,2,0,0,0]],[18596551,18605850,[243,187,60,10,26,22,6,2,0,0,0]],[18605850,18615153,[271,161,53,15,27,19,5,3,0,1,0]],[18615153,18624461,[233,188,53,18,31,21,5,1,0,0,0]],[18624461,18633774,[257,199,49,20,23,14,4,2,0,0,0]],[18633774,18643091,[256,185,54,13,32,16,0,3,0,0,0]],[18643091,18652413,[263,203,42,20,23,21,2,2,0,0,0]],[18652413,18661740,[254,206,51,11,26,16,4,0,0,0,0]],[18661740,18671071,[251,193,51,16,27,15,5,5,0,1,0]],[18671071,18680407,[235,194,49,13,31,20,1,3,0,0,0]],[18680407,18689748,[222,176,55,15,31,12,2,3,0,1,0]],[18689748,18699093,[282,165,56,18,24,22,2,1,0,0,0]],[18699093,18708443,[257,170,51,14,26,19,0,1,0,0,0]],[18708443,18717798,[271,181,48,15,28,17,2,1,0,1,0]],[18717798,18727157,[258,188,60,10,21,14,6,0,0,0,0]],[18727157,18736521,[231,222,52,25,30,18,1,5,0,1,0]],[18736521,18745890,[258,183,63,11,28,21,3,2,0,0,0]],[18745890,18755263,[282,160,62,17,21,13,2,1,0,0,0]],[18755263,18764641,[262,178,58,20,28,22,1,2,0,0,0]],[18764641,18774024,[271,159,69,13,34,12,2,2,0,0,0]],[18774024,18783412,[261,165,64,11,26,15,3,0,0,0,0]],[18783412,18792804,[243,188,73,24,21,20,2,2,0,0,0]],[18792804,18802201,[237,178,58,17,27,16,5,3,0,1,0]],[18802201,18811603,[262,167,46,16,33,18,2,4,0,0,0]],[18811603,18821009,[245,187,61,14,16,25,4,4,0,0,0]],[18821009,18830420,[236,197,70,17,34,18,2,3,0,0,0]],[18830420,18839836,[266,164,65,11,33,22,2,5,0,0,0]],[18839836,18849256,[252,180,55,14,20,18,4,3,0,0,0]],[18849256,18858681,[265,186,53,19,19,22,3,6,0,0,0]],[18858681,18868111,[275,174,59,13,23,19,2,1,0,1,0]],[18868111,18877546,[265,173,62,14,31,15,4,7,0,0,0]],[18877546,18886985,[249,153,65,12,36,17,6,3,0,0,0]],[18886985,18896429,[247,183,62,13,27,21,1,2,0,1,0]],[18896429,18905878,[250,166,61,14,28,21,4,2,0,0,0]],[18905878,18915331,[274,180,48,11,27,16,4,4,0,0,0]],[18915331,18924789,[261,178,63,21,23,17,1,2,0,0,0]],[18924789,18934252,[260,191,70,16,41,17,1,5,0,0,0]],[18934252,18943720,[247,175,69,17,28,19,4,1,0,1,0]],[18943720,18953192,[285,173,59,14,29,16,3,1,0,0,0]],[18953192,18962669,[256,173,46,15,27,22,1,9,0,0,0]],[18962669,18972151,[246,185,65,13,26,26,0,4,0,0,0]],[18972151,18981638,[252,172,54,13,25,22,4,3,0,0,0]],[18981638,18991129,[265,207,59,17,26,22,5,2,0,0,0]],[18991129,19000625,[246,192,53,19,26,17,1,3,0,1,0]],[19000625,19010126,[263,156,53,17,40,18,3,4,0,1,0]],[19010126,19019632,[270,182,53,15,28,20,5,3,0,0,0]],[19019632,19029142,[237,184,55,12,27,19,3,7,0,2,0]],[19029142,19038657,[294,175,47,10,25,20,2,1,0,2,0]],[19038657,19048177,[279,188,62,8,20,21,2,2,0,1,0]],[19048177,19057702,[252,185,52,16,31,23,1,1,0,1,0]],[19057702,19067231,[244,172,66,17,21,17,2,3,0,0,0]],[19067231,19076765,[249,212,59,15,22,14,6,1,0,0,0]],[19076765,19086304,[271,194,50,12,30,22,3,2,0,0,0]],[19086304,19095848,[268,182,38,23,29,21,0,1,0,0,0]],[19095848,19105396,[252,169,61,13,29,21,0,5,0,1,0]],[19105396,19114949,[252,168,69,17,22,22,4,1,0,1,0]],[19114949,19124507,[267,186,59,22,33,19,4,2,0,1,0]],[19124507,19134070,[253,186,47,20,27,19,5,3,0,0,0]],[19134070,19143638,[262,183,66,13,33,14,1,4,0,0,0]],[19143638,19153210,[254,187,50,24,33,11,3,4,0,0,0]],[19153210,19162787,[256,205,57,13,27,19,6,2,0,0,0]],[19162787,19172369,[256,175,53,17,35,20,2,4,0,0,0]],[19172369,19181956,[264,171,49,13,27,22,4,5,0,2,0]],[19181956,19191547,[279,194,49,11,24,12,4,1,0,2,0]],[19191547,19201143,[269,187,69,20,24,23,2,2,0,1,0]],[19201143,19210744,[240,174,53,15,30,19,3,3,0,1,0]],[19210744,19220350,[250,187,59,20,29,20,4,3,0,0,0]],[19220350,19229961,[277,170,62,18,21,20,4,3,0,0,0]],[19229961,19239576,[275,156,43,19,26,27,3,2,0,1,0]],[19239576,19249196,[269,187,65,11,34,15,3,4,0,0,0]],[19249196,19258821,[285,178,62,8,29,20,0,3,0,1,0]],[19258821,19268451,[261,182,62,11,30,17,3,4,0,0,0]],[19268451,19278086,[260,166,73,15,28,18,3,2,0,1,0]],[19278086,19287726,[265,191,50,15,26,18,2,3,0,0,0]],[19287726,19297370,[250,193,55,10,26,26,9,3,0,0,0]],[19297370,19307019,[278,202,49,12,34,23,1,2,0,0,0]],[19307019,19316673,[238,186,62,19,32,29,6,4,0,1,0]],[19316673,19326332,[253,195,66,16,22,22,3,3,0,0,1]],[19326332,19335996,[279,172,60,13,23,15,3,5,0,0,0]],[19335996,19345664,[273,188,45,8,29,17,5,3,0,0,0]],[19345664,19355337,[265,179,66,28,38,12,3,3,0,1,0]],[19355337,19365015,[255,194,57,17,33,15,0,3,0,1,0]],[19365015,19374698,[252,186,57,11,32,24,5,3,0,0,0]],[19374698,19384386,[260,188,69,16,34,13,4,3,0,1,0]],[19384386,19394079,[261,204,61,18,25,23,2,1,0,1,0]],[19394079,19403777,[250,191,70,13,20,17,1,1,0,0,0]],[19403777,19413479,[285,179,59,24,24,16,5,8,0,0,0]],[19413479,19423186,[270,191,53,17,35,15,1,2,0,0,0]],[19423186,19432898,[250,181,60,16,25,26,2,0,0,0,0]],[19432898,19442615,[302,181,58,23,26,20,1,3,0,3,0]],[19442615,19452337,[256,189,55,10,24,22,1,5,0,0,0]],[19452337,19462064,[294,190,57,16,23,25,2,4,0,1,0]],[19462064,19471796,[244,177,45,20,29,19,1,4,0,0,0]],[19471796,19481532,[277,191,57,14,29,23,3,1,0,0,0]],[19481532,19491273,[273,157,62,14,21,15,7,1,0,0,0]],[19491273,19501019,[262,192,56,22,28,21,1,0,0,0,0]],[19501019,19510770,[266,193,63,13,24,17,3,2,0,0,0]],[19510770,19520526,[264,183,69,22,21,21,0,1,0,0,0]],[19520526,19530287,[254,179,65,17,28,26,2,2,0,0,0]],[19530287,19540053,[242,197,60,16,27,18,9,4,0,0,0]],[19540053,19549824,[279,173,64,10,20,18,1,3,0,0,0]],[19549824,19559599,[269,175,61,9,25,18,2,3,0,0,0]],[19559599,19569379,[258,191,67,13,29,16,4,3,0,1,0]],[19569379,19579164,[266,172,50,14,27,20,4,4,0,0,0]],[19579164,19588954,[266,176,58,15,29,18,1,6,0,2,0]],[19588954,19598749,[252,225,57,10,30,18,3,1,0,0,0]],[19598749,19608549,[286,198,67,11,27,14,3,2,0,0,0]],[19608549,19618354,[268,204,47,10,19,21,4,3,0,0,0]],[19618354,19628164,[275,186,69,17,26,16,3,8,0,1,0]],[19628164,19637979,[260,197,51,16,26,13,2,2,0,0,0]],[19637979,19647798,[271,182,58,16,32,15,1,3,0,1,0]],[19647798,19657622,[257,195,52,10,30,23,7,4,0,1,0]],[19657622,19667451,[257,213,48,13,32,15,4,2,0,0,0]],[19667451,19677285,[265,189,60,14,23,26,3,3,0,0,0]],[19677285,19687124,[272,186,59,20,28,15,1,2,0,0,0]],[19687124,19696968,[293,188,56,18,22,21,1,4,0,0,0]],[19696968,19706817,[269,198,52,19,29,19,2,4,0,0,0]],[19706817,19716671,[266,186,73,12,32,20,0,3,0,1,0]],[19716671,19726530,[289,178,47,12,22,24,2,1,0,2,0]],[19726530,19736394,[257,179,53,15,32,29,1,6,0,0,0]],[19736394,19746263,[287,191,48,21,26,24,5,4,0,0,0]],[19746263,19756137,[260,186,63,22,30,24,3,3,0,0,0]],[19756137,19766016,[285,173,61,17,34,22,1,3,0,0,0]],[19766016,19775900,[273,177,59,21,38,20,5,1,0,0,0]],[19775900,19785788,[272,185,50,13,35,18,3,1,0,0,0]],[19785788,19795681,[287,197,55,13,31,21,2,0,0,1,0]],[19795681,19805579,[291,199,56,11,32,20,4,3,0,0,0]],[19805579,19815482,[255,204,56,10,30,23,1,2,0,0,0]],[19815482,19825390,[284,195,55,16,31,11,3,4,0,0,0]],[19825390,19835303,[240,201,50,11,43,17,3,1,0,1,0]],[19835303,19845221,[276,180,67,13,38,17,0,4,0,0,0]],[19845221,19855144,[276,189,67,11,34,25,0,3,0,1,0]],[19855144,19865072,[272,193,57,21,23,13,4,3,0,0,0]],[19865072,19875005,[268,171,65,23,29,19,2,1,0,0,0]],[19875005,19884943,[254,208,73,17,27,22,3,2,0,1,0]],[19884943,19894886,[258,205,50,15,24,24,4,5,0,1,0]],[19894886,19904834,[270,181,56,18,24,9,2,2,0,0,0]],[19904834,19914787,[271,189,66,19,31,16,1,4,0,1,0]],[19914787,19924745,[256,211,74,17,42,13,3,3,0,1,0]],[19924745,19934708,[273,185,54,26,33,18,3,1,0,1,0]],[19934708,19944676,[257,199,59,21,36,17,6,1,0,1,0]],[19944676,19954649,[281,178,57,18,33,16,7,3,0,0,0]],[19954649,19964627,[272,192,78,17,31,23,2,0,0,0,0]],[19964627,19974610,[264,180,63,18,24,13,3,3,0,0,0]],[19974610,19984598,[293,193,50,15,24,18,3,2,0,1,0]],[19984598,19994591,[279,184,67,21,27,18,4,3,0,0,0]],[19994591,20000000,[136,112,39,4,18,10,1,3,0,0,0]]],\"seconds\":21.971252055998775}\n" }, { "path": "anc/code/1.1.1/data/3723_census_blocks/block_20000000_30000000.json", "size_bytes": 42429, "sha256": "11e4c2e194ec1acf5d7b48525c77988c58c1c6a877b36d458978345f472d3ef1", "mode": 420, "encoding": "utf-8", "text": "{\"lower\":20000000,\"upper\":30000000,\"prime_count\":587252,\"sha256_prime_rootcount_stream\":\"3135d352ee109d9a1761cbb6d0b6f3a77a3d454a419a2f28f0b77d4be02f0a7e\",\"bins\":[[20000000,20004589,[117,83,24,12,20,15,2,1,0,0,0]],[20004589,20014592,[283,186,66,11,17,24,2,2,0,1,0]],[20014592,20024600,[290,194,49,18,23,15,6,2,0,0,0]],[20024600,20034613,[287,213,52,14,23,25,3,1,0,1,0]],[20034613,20044631,[258,193,56,23,37,17,3,6,0,0,0]],[20044631,20054654,[265,186,50,17,36,29,4,5,0,0,0]],[20054654,20064682,[265,200,59,22,26,20,3,1,0,0,0]],[20064682,20074715,[288,195,55,21,33,19,1,2,0,0,0]],[20074715,20084753,[269,197,66,17,25,15,2,2,0,2,0]],[20084753,20094796,[271,179,74,21,27,19,2,2,0,0,0]],[20094796,20104844,[265,200,58,20,26,25,0,2,0,0,0]],[20104844,20114897,[284,197,54,14,22,17,4,1,0,1,0]],[20114897,20124955,[259,179,55,17,48,22,4,2,0,0,0]],[20124955,20135018,[262,200,58,15,36,18,4,5,0,0,0]],[20135018,20145086,[274,192,45,9,32,22,2,3,0,0,0]],[20145086,20155159,[279,216,41,16,34,19,2,0,0,0,0]],[20155159,20165237,[283,187,54,13,26,22,6,2,0,0,0]],[20165237,20175320,[289,212,68,14,23,22,1,2,0,0,0]],[20175320,20185408,[290,195,57,16,34,16,5,2,0,0,0]],[20185408,20195501,[263,187,55,18,28,21,0,1,0,1,0]],[20195501,20205599,[280,189,67,14,33,15,3,1,0,0,0]],[20205599,20215702,[250,195,54,18,30,19,3,2,0,0,0]],[20215702,20225810,[261,202,59,13,29,20,3,3,0,0,0]],[20225810,20235923,[276,203,53,10,33,24,4,2,0,0,0]],[20235923,20246041,[300,199,68,10,24,13,1,4,0,1,0]],[20246041,20256165,[261,193,61,17,27,18,4,6,0,0,0]],[20256165,20266294,[274,198,58,15,25,24,2,6,0,1,2]],[20266294,20276428,[273,187,58,19,30,16,4,1,0,0,0]],[20276428,20286567,[279,213,55,16,33,18,3,2,0,1,0]],[20286567,20296711,[257,192,58,14,30,20,3,6,0,1,0]],[20296711,20306860,[263,199,67,21,24,27,5,2,0,1,0]],[20306860,20317014,[283,193,62,13,33,17,6,6,0,0,0]],[20317014,20327173,[274,200,50,19,19,15,3,4,0,0,0]],[20327173,20337337,[241,224,61,18,31,16,2,1,0,1,0]],[20337337,20347506,[266,189,62,16,36,24,3,2,0,0,0]],[20347506,20357680,[290,203,61,13,30,15,3,2,0,0,0]],[20357680,20367859,[281,202,66,14,29,28,0,3,0,0,0]],[20367859,20378043,[270,182,81,18,31,15,3,2,0,0,0]],[20378043,20388233,[279,195,63,22,27,26,4,4,0,0,0]],[20388233,20398428,[251,214,67,13,18,23,1,3,0,2,0]],[20398428,20408628,[260,188,58,15,35,19,6,2,0,0,0]],[20408628,20418833,[274,200,56,26,18,17,6,2,0,0,0]],[20418833,20429043,[276,188,61,15,40,25,4,5,0,1,0]],[20429043,20439258,[276,184,52,12,29,17,2,4,0,0,0]],[20439258,20449478,[271,201,53,23,26,20,2,3,0,0,0]],[20449478,20459703,[286,196,69,18,24,15,4,6,0,1,0]],[20459703,20469933,[278,194,63,24,33,18,1,3,0,1,0]],[20469933,20480168,[286,178,64,18,31,23,3,0,0,2,0]],[20480168,20490409,[278,181,62,21,25,15,3,3,0,0,0]],[20490409,20500655,[277,204,53,20,35,21,4,2,0,0,0]],[20500655,20510906,[291,194,54,14,37,21,2,2,0,1,0]],[20510906,20521162,[275,217,70,16,30,22,3,0,0,0,0]],[20521162,20531423,[257,205,62,11,30,18,2,1,0,0,0]],[20531423,20541689,[307,177,65,13,33,14,0,3,0,2,0]],[20541689,20551960,[281,206,60,12,28,11,4,1,0,1,0]],[20551960,20562236,[279,202,63,18,23,19,2,1,0,0,0]],[20562236,20572518,[317,186,60,17,30,25,3,3,0,0,0]],[20572518,20582805,[274,205,43,16,35,17,0,4,0,0,0]],[20582805,20593097,[296,204,63,28,28,10,3,0,0,1,0]],[20593097,20603394,[290,175,71,18,23,13,4,3,0,0,0]],[20603394,20613696,[275,203,64,20,27,16,3,2,0,1,0]],[20613696,20624003,[280,202,58,13,38,11,3,1,0,0,0]],[20624003,20634316,[280,200,64,27,18,22,4,0,0,1,0]],[20634316,20644634,[243,199,81,16,32,26,1,1,0,0,0]],[20644634,20654957,[271,194,80,19,27,29,2,4,0,0,0]],[20654957,20665285,[268,192,52,20,34,18,3,2,0,0,0]],[20665285,20675618,[294,195,76,18,34,14,2,5,0,0,0]],[20675618,20685956,[281,196,82,18,37,23,2,1,0,0,0]],[20685956,20696299,[290,203,61,18,29,12,2,4,0,1,0]],[20696299,20706648,[309,186,64,19,27,18,3,5,0,0,0]],[20706648,20717002,[297,192,66,18,28,19,4,3,0,0,0]],[20717002,20727361,[311,175,62,8,31,20,2,4,0,1,0]],[20727361,20737725,[288,191,66,16,27,16,1,2,0,0,0]],[20737725,20748094,[311,181,58,21,17,15,4,1,0,0,0]],[20748094,20758469,[288,191,70,10,44,13,2,5,0,0,0]],[20758469,20768849,[284,206,51,15,24,24,4,6,0,1,0]],[20768849,20779234,[281,212,57,20,27,24,2,3,0,0,0]],[20779234,20789624,[286,175,61,19,39,12,6,3,0,1,0]],[20789624,20800019,[283,199,46,22,34,26,6,3,0,0,0]],[20800019,20810420,[270,198,51,18,27,27,7,5,0,0,0]],[20810420,20820826,[287,180,69,15,25,21,5,2,0,0,0]],[20820826,20831237,[262,220,56,17,31,14,0,5,0,1,0]],[20831237,20841653,[290,210,47,19,26,19,1,4,0,0,0]],[20841653,20852074,[259,224,77,13,28,22,3,3,0,0,0]],[20852074,20862501,[274,209,60,14,42,18,2,4,0,1,0]],[20862501,20872933,[286,206,63,18,23,19,3,3,0,1,0]],[20872933,20883370,[313,191,51,25,26,12,2,4,0,0,0]],[20883370,20893812,[257,237,43,19,34,25,3,4,0,0,0]],[20893812,20904259,[283,192,49,22,37,23,4,2,0,1,0]],[20904259,20914712,[255,211,76,20,29,12,5,4,0,0,0]],[20914712,20925170,[292,190,63,20,31,18,1,2,0,0,0]],[20925170,20935633,[279,220,68,16,22,16,6,1,0,1,0]],[20935633,20946101,[262,188,57,16,30,20,7,4,0,0,0]],[20946101,20956575,[306,206,59,19,25,18,2,3,0,0,0]],[20956575,20967054,[273,196,76,13,28,22,4,5,0,0,0]],[20967054,20977538,[273,201,69,17,27,18,4,4,0,1,0]],[20977538,20988027,[279,215,73,17,38,16,2,3,0,0,0]],[20988027,20998522,[288,198,61,19,32,17,1,3,0,0,0]],[20998522,21009022,[318,185,69,19,28,17,2,1,0,1,0]],[21009022,21019527,[297,194,67,16,37,15,2,5,0,0,0]],[21019527,21030037,[294,187,68,18,34,17,1,4,0,0,0]],[21030037,21040553,[284,194,66,21,37,17,5,3,0,0,0]],[21040553,21051074,[268,203,63,21,31,18,9,6,0,1,0]],[21051074,21061600,[308,187,69,22,30,13,5,2,0,2,0]],[21061600,21072131,[281,200,54,19,29,28,2,2,0,0,0]],[21072131,21082668,[288,202,56,16,35,16,7,0,0,1,0]],[21082668,21093210,[274,211,52,21,34,12,2,3,0,0,0]],[21093210,21103757,[279,204,57,21,38,24,3,2,0,0,0]],[21103757,21114309,[289,192,47,19,36,23,5,2,0,0,0]],[21114309,21124867,[310,211,58,18,26,14,3,3,0,0,0]],[21124867,21135430,[267,204,63,18,32,25,1,4,0,0,0]],[21135430,21145998,[306,196,66,23,27,21,2,2,0,0,0]],[21145998,21156571,[269,198,69,14,29,13,2,7,0,0,0]],[21156571,21167150,[258,197,73,23,25,23,1,2,0,0,0]],[21167150,21177734,[293,203,62,22,47,23,1,2,0,0,0]],[21177734,21188323,[261,209,60,11,36,19,1,6,0,0,0]],[21188323,21198918,[280,218,68,17,26,25,4,5,0,0,0]],[21198918,21209518,[279,207,71,17,27,18,0,3,0,1,0]],[21209518,21220123,[276,199,60,12,34,23,3,3,0,1,0]],[21220123,21230734,[290,190,65,17,27,21,3,2,0,0,0]],[21230734,21241350,[274,205,59,15,40,24,3,4,0,0,0]],[21241350,21251971,[305,201,47,14,36,14,2,2,0,0,0]],[21251971,21262597,[310,213,48,17,32,23,2,2,0,0,0]],[21262597,21273229,[293,205,70,19,28,25,3,3,0,0,0]],[21273229,21283866,[331,194,63,18,26,26,3,2,0,1,0]],[21283866,21294508,[288,206,66,19,34,14,4,3,0,0,0]],[21294508,21305156,[295,209,68,18,25,14,4,5,0,1,0]],[21305156,21315809,[285,211,57,13,25,25,4,5,0,1,1]],[21315809,21326467,[291,180,52,23,44,12,4,2,0,2,0]],[21326467,21337131,[267,219,59,20,33,19,7,3,0,0,0]],[21337131,21347800,[300,210,71,16,21,22,1,1,0,0,0]],[21347800,21358474,[272,212,64,15,34,17,2,2,0,1,0]],[21358474,21369154,[301,194,63,15,42,19,3,3,0,0,0]],[21369154,21379839,[298,208,57,10,36,18,1,0,0,2,0]],[21379839,21390529,[301,210,63,16,35,18,1,6,0,0,0]],[21390529,21401225,[291,203,51,15,31,29,1,6,0,1,0]],[21401225,21411926,[276,209,83,14,37,20,3,2,0,0,0]],[21411926,21422632,[283,183,67,14,30,19,4,6,0,0,0]],[21422632,21433344,[284,204,63,18,33,21,4,4,0,0,1]],[21433344,21444061,[273,230,53,19,31,25,3,3,0,0,0]],[21444061,21454784,[296,204,77,16,39,23,2,2,0,1,0]],[21454784,21465512,[304,219,61,18,31,20,2,4,0,0,0]],[21465512,21476245,[291,226,68,10,28,16,0,0,0,0,0]],[21476245,21486984,[295,214,67,32,34,18,2,2,0,0,0]],[21486984,21497728,[295,187,51,16,27,29,8,8,0,0,0]],[21497728,21508477,[299,183,63,15,20,16,4,1,0,0,0]],[21508477,21519232,[299,188,55,18,37,16,5,6,0,0,0]],[21519232,21529992,[281,213,58,16,41,15,5,3,0,0,0]],[21529992,21540757,[287,210,62,21,40,18,1,1,0,0,0]],[21540757,21551528,[298,193,61,18,38,23,5,1,0,0,0]],[21551528,21562304,[300,207,60,12,33,16,3,3,0,2,0]],[21562304,21573086,[288,204,69,15,23,23,2,4,0,1,0]],[21573086,21583873,[329,198,61,20,28,17,1,5,0,0,0]],[21583873,21594665,[274,216,72,18,34,20,5,3,0,0,0]],[21594665,21605463,[295,214,66,13,29,20,2,3,0,0,0]],[21605463,21616266,[304,214,59,14,26,15,5,4,0,1,0]],[21616266,21627075,[302,185,59,24,36,22,4,6,0,1,0]],[21627075,21637889,[286,219,62,15,30,22,1,3,0,0,0]],[21637889,21648708,[310,183,61,17,36,13,1,1,0,1,0]],[21648708,21659533,[309,210,59,14,29,16,7,3,0,0,0]],[21659533,21670363,[300,206,65,15,23,21,7,2,0,0,0]],[21670363,21681199,[282,217,73,19,32,26,4,4,0,0,0]],[21681199,21692040,[300,208,74,14,33,16,0,1,0,1,0]],[21692040,21702887,[254,219,76,19,35,24,8,0,0,1,0]],[21702887,21713739,[311,213,58,19,23,17,5,4,0,1,0]],[21713739,21724596,[312,199,69,22,27,18,4,2,0,0,0]],[21724596,21735459,[302,202,62,17,32,18,4,1,0,0,0]],[21735459,21746327,[296,211,75,22,26,21,2,3,0,0,0]],[21746327,21757201,[269,224,59,17,34,25,2,2,0,2,0]],[21757201,21768080,[298,226,68,8,28,22,1,6,0,0,0]],[21768080,21778965,[281,230,66,15,30,20,4,3,0,0,0]],[21778965,21789855,[288,224,67,16,23,25,1,4,0,1,0]],[21789855,21800750,[297,206,63,15,34,19,1,6,0,1,0]],[21800750,21811651,[305,199,50,23,30,16,2,4,0,0,0]],[21811651,21822557,[283,213,62,21,43,22,4,2,0,0,0]],[21822557,21833469,[312,203,63,20,28,15,2,1,0,1,0]],[21833469,21844386,[281,207,86,25,33,15,2,3,0,0,0]],[21844386,21855309,[298,199,66,26,30,24,3,4,0,2,0]],[21855309,21866237,[294,205,71,14,31,20,3,3,0,1,0]],[21866237,21877171,[289,215,70,17,36,24,8,1,0,0,0]],[21877171,21888110,[308,213,66,19,27,21,3,1,0,0,0]],[21888110,21899055,[274,219,62,17,26,25,1,2,0,1,0]],[21899055,21910005,[292,205,69,28,27,23,5,1,0,0,0]],[21910005,21920961,[301,197,74,20,35,24,2,7,0,2,0]],[21920961,21931922,[291,223,70,18,32,18,2,2,0,0,0]],[21931922,21942888,[314,233,57,12,30,24,2,5,0,0,0]],[21942888,21953860,[318,219,58,19,24,19,3,4,0,0,0]],[21953860,21964837,[297,206,51,26,34,19,2,4,0,0,0]],[21964837,21975820,[287,197,81,14,30,22,3,3,0,0,0]],[21975820,21986808,[291,210,69,14,28,23,8,2,0,1,0]],[21986808,21997802,[316,200,61,17,32,22,1,4,0,2,0]],[21997802,22008801,[271,211,77,14,37,26,5,2,0,0,0]],[22008801,22019806,[287,196,86,18,40,20,1,1,0,1,0]],[22019806,22030816,[328,203,56,23,35,19,4,6,0,0,0]],[22030816,22041832,[321,209,55,16,37,21,6,2,0,0,0]],[22041832,22052853,[313,204,78,14,30,32,8,4,0,0,0]],[22052853,22063880,[274,185,81,21,27,28,3,3,0,1,0]],[22063880,22074912,[281,224,67,19,31,17,2,5,0,1,0]],[22074912,22085950,[309,201,53,16,26,17,4,1,0,1,0]],[22085950,22096993,[259,208,73,18,45,14,2,7,0,2,0]],[22096993,22108042,[287,195,74,21,32,18,7,1,0,1,0]],[22108042,22119097,[292,230,66,12,34,19,2,0,0,1,0]],[22119097,22130157,[297,212,66,18,33,23,8,1,0,0,0]],[22130157,22141223,[317,198,62,14,26,11,6,6,0,0,0]],[22141223,22152294,[294,221,75,21,26,14,0,10,0,0,0]],[22152294,22163371,[292,219,60,20,30,17,4,2,0,0,0]],[22163371,22174453,[311,228,57,21,21,19,1,3,0,2,0]],[22174453,22185541,[293,212,75,20,34,23,3,1,0,1,0]],[22185541,22196634,[298,191,56,15,24,19,9,4,0,1,0]],[22196634,22207733,[294,221,61,20,35,18,8,3,0,0,0]],[22207733,22218837,[299,201,50,13,38,18,4,5,0,1,0]],[22218837,22229947,[297,194,88,20,33,18,3,4,0,1,0]],[22229947,22241062,[291,231,56,15,35,10,3,4,0,0,0]],[22241062,22252183,[308,204,55,22,33,29,5,2,0,0,0]],[22252183,22263310,[290,215,61,15,39,26,3,2,0,0,0]],[22263310,22274442,[304,216,57,19,36,18,6,4,0,1,0]],[22274442,22285580,[296,197,86,15,29,15,2,4,0,0,0]],[22285580,22296723,[284,203,81,19,42,30,1,1,0,0,0]],[22296723,22307872,[301,220,68,17,32,27,2,3,0,0,0]],[22307872,22319026,[313,229,63,12,36,16,3,1,0,0,0]],[22319026,22330186,[302,204,83,26,28,19,5,5,0,0,0]],[22330186,22341352,[296,209,54,14,33,19,5,1,0,1,0]],[22341352,22352523,[277,230,69,15,29,15,5,3,0,1,0]],[22352523,22363700,[322,194,79,16,30,9,2,0,0,0,0]],[22363700,22374882,[287,246,69,16,37,18,5,2,0,1,0]],[22374882,22386070,[287,197,75,24,39,20,4,3,0,0,0]],[22386070,22397264,[294,202,54,19,39,19,4,1,0,1,0]],[22397264,22408463,[290,232,71,22,35,14,3,1,0,1,0]],[22408463,22419668,[302,210,68,21,40,22,5,1,0,1,0]],[22419668,22430878,[278,220,71,11,35,23,4,3,0,1,0]],[22430878,22442094,[306,192,52,23,36,29,4,0,0,1,0]],[22442094,22453316,[319,191,63,22,40,19,3,4,0,1,0]],[22453316,22464543,[308,204,72,20,24,30,4,2,0,1,0]],[22464543,22475776,[291,212,60,26,45,26,3,2,0,1,0]],[22475776,22487014,[281,236,90,21,32,14,5,2,0,2,0]],[22487014,22498258,[314,203,84,12,28,13,1,5,0,1,0]],[22498258,22509508,[301,209,55,27,34,22,2,4,0,0,0]],[22509508,22520763,[316,214,63,14,25,25,5,5,0,0,0]],[22520763,22532024,[327,207,66,20,27,21,5,4,0,0,0]],[22532024,22543291,[314,207,79,17,33,16,1,2,0,0,0]],[22543291,22554563,[306,219,57,21,39,29,6,4,0,1,0]],[22554563,22565841,[284,224,81,19,32,19,3,5,0,1,0]],[22565841,22577124,[295,219,66,19,40,34,4,5,0,0,0]],[22577124,22588413,[300,230,60,21,32,25,1,6,0,1,0]],[22588413,22599708,[281,221,72,20,49,17,4,4,0,0,0]],[22599708,22611008,[297,204,65,14,38,22,4,2,0,0,0]],[22611008,22622314,[305,233,75,17,26,25,2,7,0,0,0]],[22622314,22633626,[313,217,73,27,30,21,2,4,0,0,0]],[22633626,22644943,[297,203,66,11,35,20,3,2,0,0,0]],[22644943,22656266,[326,186,60,22,29,21,3,4,0,1,0]],[22656266,22667595,[306,207,81,22,24,34,2,4,0,1,0]],[22667595,22678929,[308,212,61,17,48,23,5,3,0,0,0]],[22678929,22690269,[306,216,54,22,37,25,4,2,0,0,0]],[22690269,22701615,[310,224,71,17,36,19,7,4,0,0,0]],[22701615,22712966,[301,226,77,22,38,10,3,8,0,1,0]],[22712966,22724323,[306,222,67,15,25,16,2,3,0,0,0]],[22724323,22735686,[319,229,64,18,28,19,6,1,0,0,0]],[22735686,22747054,[306,207,70,8,43,27,5,3,0,0,0]],[22747054,22758428,[302,213,81,16,27,25,5,4,0,1,0]],[22758428,22769808,[310,207,67,20,28,17,2,5,0,2,0]],[22769808,22781193,[318,220,65,18,34,18,2,4,0,0,0]],[22781193,22792584,[304,222,61,15,31,17,3,2,0,1,0]],[22792584,22803981,[298,215,75,13,29,22,4,3,0,0,0]],[22803981,22815383,[301,236,61,13,40,18,2,2,0,0,0]],[22815383,22826791,[285,215,67,21,39,23,2,7,0,0,0]],[22826791,22838205,[290,225,73,17,46,11,3,2,0,0,0]],[22838205,22849625,[326,204,82,26,43,25,2,3,0,0,0]],[22849625,22861050,[329,201,77,11,26,23,4,1,0,0,0]],[22861050,22872481,[297,228,72,20,41,19,2,2,0,1,0]],[22872481,22883918,[310,219,80,26,21,14,3,4,0,0,0]],[22883918,22895360,[291,228,69,18,43,21,3,4,0,1,0]],[22895360,22906808,[325,216,63,21,28,25,0,3,0,1,0]],[22906808,22918262,[319,219,80,19,23,25,2,2,0,0,0]],[22918262,22929722,[317,240,51,19,21,17,2,5,0,1,0]],[22929722,22941187,[323,205,64,24,33,14,3,2,0,0,0]],[22941187,22952658,[313,241,48,17,32,24,0,0,0,2,0]],[22952658,22964135,[288,222,76,16,26,25,4,0,0,0,0]],[22964135,22975618,[306,218,68,22,47,20,3,3,0,0,0]],[22975618,22987106,[314,218,64,13,36,22,5,3,0,0,0]],[22987106,22998600,[311,219,66,15,36,19,6,5,0,0,0]],[22998600,23010100,[311,228,70,18,49,27,4,2,0,1,0]],[23010100,23021606,[328,198,68,23,35,31,1,1,0,1,0]],[23021606,23033117,[324,229,62,23,30,19,3,5,0,0,0]],[23033117,23044634,[347,194,57,17,22,24,4,3,0,1,0]],[23044634,23056157,[309,223,73,14,39,27,1,3,0,1,0]],[23056157,23067686,[289,216,77,19,33,18,3,7,0,0,0]],[23067686,23079220,[326,221,78,16,25,18,7,4,0,1,0]],[23079220,23090760,[308,206,57,15,35,27,4,2,0,1,0]],[23090760,23102306,[295,232,72,15,30,21,3,2,0,0,0]],[23102306,23113858,[287,249,59,28,36,32,4,3,0,0,0]],[23113858,23125415,[296,203,68,14,35,24,4,4,0,1,0]],[23125415,23136978,[317,224,67,24,21,25,2,6,0,0,0]],[23136978,23148547,[314,217,57,23,32,22,3,7,0,2,0]],[23148547,23160122,[328,228,61,23,33,23,5,6,0,0,0]],[23160122,23171703,[333,223,87,15,34,18,5,1,0,0,0]],[23171703,23183289,[301,200,66,20,49,24,4,2,0,0,0]],[23183289,23194881,[286,220,65,21,27,25,1,1,0,1,0]],[23194881,23206479,[304,234,63,15,33,26,3,6,0,1,0]],[23206479,23218083,[297,224,73,18,27,20,8,2,0,2,0]],[23218083,23229693,[334,210,66,17,28,24,2,3,0,0,0]],[23229693,23241308,[317,222,53,13,41,26,5,1,0,1,0]],[23241308,23252929,[326,204,83,21,26,20,5,2,0,0,0]],[23252929,23264556,[312,213,87,18,47,15,2,2,0,2,0]],[23264556,23276189,[334,223,58,24,29,22,6,2,0,0,0]],[23276189,23287828,[313,239,61,21,31,29,3,1,0,0,1]],[23287828,23299472,[285,239,70,20,41,18,5,4,0,0,0]],[23299472,23311122,[307,245,84,19,39,16,4,1,0,0,0]],[23311122,23322778,[306,222,60,34,30,30,1,3,0,0,0]],[23322778,23334440,[308,218,67,18,39,24,5,3,0,1,0]],[23334440,23346108,[324,210,53,19,38,26,4,4,0,1,0]],[23346108,23357782,[340,234,71,21,24,14,1,2,0,0,0]],[23357782,23369461,[317,243,62,17,31,18,4,1,0,0,0]],[23369461,23381146,[316,214,71,20,38,15,3,9,0,0,0]],[23381146,23392837,[315,203,71,20,31,12,2,2,0,1,0]],[23392837,23404534,[325,201,63,20,35,19,2,4,0,0,0]],[23404534,23416237,[305,222,68,21,40,24,1,3,0,1,0]],[23416237,23427946,[310,227,67,17,32,27,2,1,0,0,0]],[23427946,23439660,[296,238,73,27,38,25,2,3,0,0,0]],[23439660,23451380,[304,224,77,15,33,18,6,9,0,0,0]],[23451380,23463106,[322,215,79,15,33,30,10,3,0,0,0]],[23463106,23474838,[321,249,84,26,25,11,3,3,0,0,0]],[23474838,23486576,[304,222,60,27,31,28,4,4,0,1,0]],[23486576,23498320,[309,238,67,21,24,19,6,1,0,1,0]],[23498320,23510070,[305,207,77,20,41,24,4,2,0,0,0]],[23510070,23521826,[287,222,83,23,37,22,4,5,0,0,0]],[23521826,23533587,[307,237,76,17,29,20,5,5,0,0,0]],[23533587,23545354,[332,211,69,18,47,22,1,1,0,1,0]],[23545354,23557127,[339,206,73,28,26,23,2,4,0,0,0]],[23557127,23568906,[287,241,65,21,38,26,5,1,0,1,0]],[23568906,23580691,[313,244,47,21,43,29,3,6,0,0,0]],[23580691,23592482,[286,226,60,24,34,20,3,4,0,0,0]],[23592482,23604279,[310,231,94,22,31,18,4,2,0,0,0]],[23604279,23616082,[343,218,71,19,24,21,2,2,0,1,0]],[23616082,23627891,[319,251,64,14,35,17,1,4,0,0,0]],[23627891,23639705,[304,219,69,25,41,18,3,1,0,1,0]],[23639705,23651525,[303,244,64,14,38,22,4,4,0,1,0]],[23651525,23663351,[324,228,67,17,39,21,7,4,0,0,0]],[23663351,23675183,[342,214,66,15,39,20,3,4,0,0,0]],[23675183,23687021,[312,227,74,19,36,19,7,5,0,2,0]],[23687021,23698865,[328,226,83,11,28,16,3,3,0,1,1]],[23698865,23710715,[323,218,63,19,34,13,2,5,0,0,0]],[23710715,23722571,[321,210,76,20,27,25,1,3,0,1,0]],[23722571,23734433,[327,211,59,23,35,23,2,6,0,1,0]],[23734433,23746301,[349,206,69,14,29,19,8,3,0,0,0]],[23746301,23758175,[330,231,62,14,33,23,5,4,0,1,0]],[23758175,23770055,[326,233,67,22,33,16,4,2,0,0,0]],[23770055,23781941,[323,229,76,22,36,20,2,3,0,0,0]],[23781941,23793832,[300,229,85,18,38,18,2,4,0,0,0]],[23793832,23805729,[318,230,75,17,26,18,4,3,0,0,0]],[23805729,23817632,[302,220,77,22,35,26,3,4,0,0,0]],[23817632,23829541,[332,246,65,14,37,20,5,5,0,0,0]],[23829541,23841456,[298,231,77,15,33,21,4,2,0,0,0]],[23841456,23853377,[303,226,64,17,33,20,3,2,0,1,0]],[23853377,23865304,[321,229,78,18,30,27,4,4,0,1,0]],[23865304,23877237,[339,220,57,19,31,19,5,1,0,0,0]],[23877237,23889176,[350,209,81,19,30,27,5,4,0,2,0]],[23889176,23901121,[347,208,69,21,31,16,4,0,0,1,0]],[23901121,23913072,[340,238,75,24,36,21,5,4,0,0,0]],[23913072,23925029,[321,225,55,20,35,22,2,3,0,1,0]],[23925029,23936992,[308,226,71,18,35,37,4,4,0,0,0]],[23936992,23948961,[318,216,87,29,33,23,5,5,0,0,0]],[23948961,23960936,[301,233,64,19,33,26,1,5,0,1,0]],[23960936,23972917,[335,209,73,18,35,25,6,4,0,1,0]],[23972917,23984904,[315,239,73,23,33,15,4,3,0,0,0]],[23984904,23996897,[330,229,69,20,31,24,4,5,0,0,0]],[23996897,24008896,[315,253,75,22,32,22,3,3,0,1,0]],[24008896,24020901,[343,216,72,24,24,16,4,3,0,0,0]],[24020901,24032912,[310,239,62,15,39,23,7,3,0,1,0]],[24032912,24044929,[322,254,62,12,34,27,2,1,0,0,0]],[24044929,24056952,[318,222,72,26,39,26,6,5,0,0,0]],[24056952,24068981,[312,226,83,21,41,22,5,3,0,0,0]],[24068981,24081016,[315,215,83,22,43,21,5,2,0,0,0]],[24081016,24093057,[328,212,76,21,29,20,1,3,0,0,1]],[24093057,24105104,[327,224,71,15,41,24,5,4,0,1,0]],[24105104,24117157,[329,213,70,14,42,33,3,4,0,1,0]],[24117157,24129216,[289,212,75,24,28,24,4,3,0,1,0]],[24129216,24141281,[337,218,71,19,40,20,2,7,0,1,0]],[24141281,24153352,[358,215,71,15,46,28,4,3,0,0,0]],[24153352,24165429,[337,254,67,17,39,18,6,1,0,1,0]],[24165429,24177512,[333,201,74,18,39,21,7,5,0,0,0]],[24177512,24189601,[326,211,79,20,36,28,7,4,0,0,0]],[24189601,24201696,[319,216,75,24,46,31,3,2,0,0,0]],[24201696,24213797,[338,225,73,7,36,20,5,1,0,0,0]],[24213797,24225904,[321,232,80,21,38,22,3,3,0,2,0]],[24225904,24238017,[338,235,60,21,47,22,5,6,0,0,0]],[24238017,24250137,[313,221,77,19,38,30,6,5,0,0,0]],[24250137,24262263,[336,230,80,19,33,27,3,1,0,1,0]],[24262263,24274395,[347,205,68,18,40,10,6,2,0,2,0]],[24274395,24286533,[325,244,73,28,39,26,4,1,0,0,0]],[24286533,24298677,[325,231,81,16,35,19,4,3,0,0,0]],[24298677,24310827,[312,260,65,27,34,25,2,5,0,0,0]],[24310827,24322983,[326,229,71,26,24,26,1,1,0,0,0]],[24322983,24335145,[313,232,78,23,33,23,5,4,0,0,0]],[24335145,24347313,[330,237,58,26,26,21,5,4,0,0,0]],[24347313,24359487,[330,248,74,18,36,20,4,5,0,1,0]],[24359487,24371667,[294,236,82,18,26,34,6,2,0,0,0]],[24371667,24383853,[298,269,78,12,33,31,6,6,0,0,0]],[24383853,24396045,[336,222,84,17,35,22,4,1,0,1,0]],[24396045,24408244,[346,226,69,23,39,21,4,2,0,0,0]],[24408244,24420449,[333,254,61,12,31,20,5,1,0,0,0]],[24420449,24432660,[340,221,59,23,37,19,4,12,0,1,0]],[24432660,24444877,[316,246,74,18,30,13,4,2,0,0,0]],[24444877,24457100,[305,220,83,22,33,18,8,3,0,1,0]],[24457100,24469329,[328,224,69,8,44,25,5,5,0,0,0]],[24469329,24481564,[351,242,61,20,36,18,2,4,0,1,0]],[24481564,24493805,[341,235,57,15,35,24,6,2,0,3,0]],[24493805,24506052,[328,228,89,17,34,21,1,5,0,0,0]],[24506052,24518306,[332,222,85,17,33,21,4,5,0,0,0]],[24518306,24530566,[318,227,69,25,39,32,6,8,0,1,0]],[24530566,24542832,[333,226,83,18,36,24,1,3,0,0,0]],[24542832,24555104,[319,248,73,27,44,24,5,4,0,0,0]],[24555104,24567382,[287,233,79,21,41,34,4,0,0,0,0]],[24567382,24579666,[342,240,79,17,30,21,1,5,0,1,0]],[24579666,24591956,[322,224,67,15,42,27,2,3,0,2,0]],[24591956,24604252,[332,238,69,26,27,20,3,3,0,0,0]],[24604252,24616555,[322,262,62,9,30,21,3,1,0,0,0]],[24616555,24628864,[320,261,67,20,41,21,4,4,0,0,0]],[24628864,24641179,[318,228,71,24,41,24,2,0,0,0,0]],[24641179,24653500,[334,240,67,17,35,20,2,0,0,0,0]],[24653500,24665827,[330,226,65,28,39,24,6,5,0,1,0]],[24665827,24678160,[360,240,67,23,34,32,0,0,0,0,0]],[24678160,24690500,[343,232,80,23,44,36,3,3,0,0,0]],[24690500,24702846,[334,252,61,12,28,24,5,2,0,1,0]],[24702846,24715198,[347,242,67,22,36,20,5,3,0,0,0]],[24715198,24727556,[315,248,90,17,41,20,4,3,0,1,0]],[24727556,24739920,[300,223,76,21,47,19,2,3,0,1,0]],[24739920,24752290,[326,226,77,27,46,20,3,3,0,0,0]],[24752290,24764667,[321,228,84,20,27,21,6,4,0,1,0]],[24764667,24777050,[352,250,76,21,44,20,6,3,0,1,0]],[24777050,24789439,[317,243,75,20,36,19,2,2,0,0,0]],[24789439,24801834,[324,221,72,23,32,27,3,2,0,1,0]],[24801834,24814235,[345,222,81,21,40,30,6,1,0,1,0]],[24814235,24826643,[318,210,73,17,44,29,3,2,0,1,0]],[24826643,24839057,[348,226,77,15,30,19,1,1,0,1,0]],[24839057,24851477,[341,214,78,17,37,24,2,4,0,0,0]],[24851477,24863903,[349,257,70,17,30,24,2,2,0,0,0]],[24863903,24876335,[339,258,63,23,36,24,5,5,0,0,0]],[24876335,24888774,[322,226,75,18,36,25,0,2,0,2,0]],[24888774,24901219,[329,243,77,20,36,22,4,3,0,2,0]],[24901219,24913670,[327,250,66,24,45,16,2,3,0,0,0]],[24913670,24926127,[322,223,62,16,37,27,3,3,0,1,0]],[24926127,24938591,[320,257,66,15,38,18,4,3,0,0,1]],[24938591,24951061,[347,209,69,22,36,25,6,2,0,0,0]],[24951061,24963537,[365,226,79,18,34,20,6,4,0,0,0]],[24963537,24976019,[361,237,69,31,28,26,6,3,0,2,0]],[24976019,24988508,[351,222,68,12,39,21,4,6,0,0,0]],[24988508,25001003,[328,246,79,20,26,19,3,3,0,0,0]],[25001003,25013504,[323,259,94,21,39,28,3,2,0,0,0]],[25013504,25026011,[307,255,84,16,37,15,4,4,0,0,0]],[25026011,25038525,[314,253,66,19,32,19,2,1,0,0,0]],[25038525,25051045,[340,210,91,19,34,25,2,2,0,0,0]],[25051045,25063571,[347,246,76,18,38,18,2,4,0,1,0]],[25063571,25076103,[355,224,79,19,34,24,6,1,0,1,0]],[25076103,25088642,[328,252,84,21,32,18,8,4,0,0,0]],[25088642,25101187,[324,260,74,16,35,14,4,3,0,0,0]],[25101187,25113738,[350,251,70,19,40,25,10,4,0,1,0]],[25113738,25126295,[346,242,67,16,45,21,4,3,0,1,0]],[25126295,25138859,[372,223,64,15,25,23,1,1,0,0,0]],[25138859,25151429,[328,226,65,16,32,20,3,3,0,0,0]],[25151429,25164005,[330,229,88,19,32,27,6,3,0,0,0]],[25164005,25176588,[334,238,73,30,46,19,3,1,0,1,0]],[25176588,25189177,[334,256,59,18,42,21,4,3,0,0,0]],[25189177,25201772,[336,221,77,19,36,19,3,5,0,2,0]],[25201772,25214373,[323,252,75,20,30,23,7,4,0,0,0]],[25214373,25226981,[339,239,59,16,26,24,7,9,0,1,0]],[25226981,25239595,[344,202,76,20,39,23,6,2,0,0,0]],[25239595,25252215,[332,228,70,17,44,22,3,3,0,0,0]],[25252215,25264842,[348,245,74,19,28,27,4,4,0,0,0]],[25264842,25277475,[340,260,77,20,39,30,2,2,0,1,0]],[25277475,25290114,[315,234,64,29,44,19,0,5,0,1,0]],[25290114,25302760,[315,254,79,27,40,17,5,3,0,1,0]],[25302760,25315412,[352,223,87,26,32,26,5,3,0,1,0]],[25315412,25328070,[330,252,74,29,35,19,6,7,0,1,0]],[25328070,25340735,[340,249,71,22,45,14,5,2,0,0,0]],[25340735,25353406,[323,251,64,15,31,26,4,0,0,1,0]],[25353406,25366083,[321,238,78,22,40,20,7,3,0,0,0]],[25366083,25378767,[343,235,81,25,33,26,1,2,0,1,0]],[25378767,25391457,[342,230,85,23,44,22,8,8,0,0,0]],[25391457,25404153,[337,239,65,23,40,22,8,6,0,0,0]],[25404153,25416856,[354,223,74,19,39,18,3,2,0,1,0]],[25416856,25429565,[312,249,78,19,22,30,3,1,0,1,0]],[25429565,25442280,[350,225,66,21,43,30,3,7,0,0,0]],[25442280,25455002,[351,261,76,22,35,26,5,1,0,0,0]],[25455002,25467730,[364,246,83,22,31,19,3,6,0,1,0]],[25467730,25480464,[356,248,68,29,32,21,3,0,0,1,0]],[25480464,25493205,[340,226,69,23,32,21,5,5,0,1,0]],[25493205,25505952,[345,245,67,20,27,17,5,3,0,0,0]],[25505952,25518705,[329,246,74,18,36,18,3,4,0,0,0]],[25518705,25531465,[376,248,62,16,32,36,0,6,0,1,0]],[25531465,25544231,[342,243,82,25,34,22,4,10,0,0,0]],[25544231,25557004,[320,237,94,22,44,22,4,3,0,0,0]],[25557004,25569783,[340,237,67,17,37,23,2,5,0,0,0]],[25569783,25582568,[358,268,68,21,28,23,6,4,0,1,0]],[25582568,25595360,[302,282,72,13,47,26,3,3,0,0,0]],[25595360,25608158,[349,243,84,22,29,13,1,4,0,0,0]],[25608158,25620963,[336,229,79,15,38,22,2,6,0,1,0]],[25620963,25633774,[333,254,80,21,41,12,6,8,0,0,0]],[25633774,25646591,[351,279,65,20,36,23,4,4,0,0,0]],[25646591,25659415,[347,251,56,14,35,27,6,2,0,1,0]],[25659415,25672245,[342,226,77,19,31,20,1,5,0,0,0]],[25672245,25685082,[359,232,94,17,39,20,4,2,0,0,0]],[25685082,25697925,[305,260,69,20,45,37,4,2,0,0,0]],[25697925,25710774,[358,249,81,22,28,22,3,2,0,0,0]],[25710774,25723630,[358,241,82,25,45,13,7,6,0,0,0]],[25723630,25736492,[347,229,57,23,39,19,2,5,0,1,0]],[25736492,25749361,[356,253,90,23,25,18,2,3,0,0,0]],[25749361,25762236,[330,265,92,14,30,22,6,6,0,0,0]],[25762236,25775118,[334,253,71,22,46,26,6,1,0,1,0]],[25775118,25788006,[363,236,69,23,34,19,5,2,0,1,0]],[25788006,25800901,[346,265,73,10,28,23,4,6,0,0,0]],[25800901,25813802,[359,248,79,18,52,19,5,2,0,0,0]],[25813802,25826709,[357,243,84,19,35,25,4,2,0,0,0]],[25826709,25839623,[364,237,86,18,28,23,2,1,0,2,0]],[25839623,25852543,[332,250,84,20,37,22,3,4,0,1,0]],[25852543,25865470,[343,246,62,27,34,26,5,4,0,1,0]],[25865470,25878403,[339,235,78,25,39,27,4,4,0,0,0]],[25878403,25891343,[365,232,90,13,49,32,3,4,0,0,0]],[25891343,25904289,[356,253,56,14,30,20,3,3,0,1,0]],[25904289,25917242,[326,257,79,23,39,20,4,7,0,0,1]],[25917242,25930201,[328,257,89,22,35,31,3,1,0,2,0]],[25930201,25943167,[375,228,89,27,25,24,3,4,0,0,0]],[25943167,25956139,[344,237,58,24,40,22,8,2,0,1,0]],[25956139,25969118,[335,241,77,21,40,26,3,2,0,0,0]],[25969118,25982103,[333,245,93,28,47,29,6,6,0,1,0]],[25982103,25995095,[369,251,73,20,36,24,5,2,0,1,0]],[25995095,26008093,[320,256,85,18,41,22,4,1,0,0,0]],[26008093,26021098,[354,208,84,27,41,28,3,2,0,0,0]],[26021098,26034109,[353,248,58,16,43,35,4,1,0,0,0]],[26034109,26047127,[350,261,73,22,42,28,1,1,0,1,0]],[26047127,26060151,[365,244,66,24,40,20,0,4,0,0,0]],[26060151,26073182,[318,255,73,23,54,29,3,2,0,0,0]],[26073182,26086219,[324,255,78,22,36,20,5,5,0,0,0]],[26086219,26099263,[331,276,79,13,50,27,4,1,0,0,0]],[26099263,26112313,[315,275,71,24,42,17,3,3,0,0,0]],[26112313,26125370,[363,238,83,25,32,23,5,7,0,1,0]],[26125370,26138433,[355,247,69,17,49,30,8,6,0,0,0]],[26138433,26151503,[348,239,71,21,40,29,5,2,0,0,0]],[26151503,26164579,[336,269,76,18,43,22,6,5,0,0,0]],[26164579,26177662,[355,236,83,19,36,19,3,2,0,1,0]],[26177662,26190751,[343,255,68,18,30,31,2,6,0,0,0]],[26190751,26203847,[323,249,77,24,42,26,3,1,0,1,0]],[26203847,26216949,[361,252,83,17,31,26,5,6,0,0,0]],[26216949,26230058,[346,255,86,21,27,35,3,2,0,0,0]],[26230058,26243174,[373,217,74,20,39,26,5,5,0,0,0]],[26243174,26256296,[315,230,86,21,42,24,2,3,0,3,0]],[26256296,26269425,[339,238,90,25,43,29,3,1,0,1,0]],[26269425,26282560,[364,256,67,25,33,26,6,1,0,0,0]],[26282560,26295702,[380,214,72,21,41,27,7,4,0,0,0]],[26295702,26308850,[349,252,78,28,34,32,5,3,0,1,0]],[26308850,26322005,[341,249,88,15,32,18,6,7,0,2,0]],[26322005,26335167,[359,251,85,26,50,26,5,2,0,0,0]],[26335167,26348335,[327,250,62,26,32,24,7,5,0,2,0]],[26348335,26361510,[366,245,86,24,33,20,3,1,0,1,0]],[26361510,26374691,[355,250,67,26,42,29,2,5,0,0,0]],[26374691,26387879,[363,231,91,20,37,21,7,2,0,0,0]],[26387879,26401073,[382,246,72,23,38,25,3,2,0,0,0]],[26401073,26414274,[352,278,87,28,32,28,3,5,0,0,0]],[26414274,26427482,[363,251,87,23,47,15,2,5,0,2,0]],[26427482,26440696,[342,239,61,16,41,19,2,4,0,1,0]],[26440696,26453917,[347,239,73,14,37,24,6,2,0,2,0]],[26453917,26467144,[375,232,75,19,47,37,3,4,0,3,0]],[26467144,26480378,[375,240,69,18,45,27,4,6,0,0,0]],[26480378,26493619,[363,256,69,23,37,23,2,6,0,0,0]],[26493619,26506866,[355,261,100,21,40,24,2,4,0,0,0]],[26506866,26520120,[356,255,72,17,43,18,3,2,0,1,0]],[26520120,26533381,[347,244,80,23,48,29,4,4,0,0,1]],[26533381,26546648,[336,250,83,18,48,33,7,4,0,1,0]],[26546648,26559922,[370,257,90,19,35,30,3,4,0,1,0]],[26559922,26573202,[371,225,78,13,43,27,2,2,0,0,0]],[26573202,26586489,[363,259,76,21,25,19,3,3,0,1,0]],[26586489,26599783,[349,266,88,25,35,20,6,1,0,0,0]],[26599783,26613083,[326,263,78,15,39,23,4,3,0,1,0]],[26613083,26626390,[351,263,74,17,41,29,5,4,0,1,0]],[26626390,26639704,[362,264,81,11,37,21,4,1,0,0,0]],[26639704,26653024,[375,241,67,25,40,22,7,5,0,0,0]],[26653024,26666351,[375,259,81,23,35,14,2,5,0,1,0]],[26666351,26679685,[321,280,77,20,31,32,2,7,0,2,0]],[26679685,26693025,[348,264,73,20,34,27,5,0,0,0,0]],[26693025,26706372,[342,281,61,25,37,15,0,1,0,0,0]],[26706372,26719726,[393,277,73,17,36,23,3,5,0,0,0]],[26719726,26733086,[308,272,80,15,28,27,3,4,0,0,0]],[26733086,26746453,[342,265,67,19,52,24,4,2,0,0,0]],[26746453,26759827,[353,237,80,30,31,12,5,5,0,0,0]],[26759827,26773207,[369,268,69,29,36,26,4,4,0,2,0]],[26773207,26786594,[367,238,77,23,35,19,3,3,0,1,0]],[26786594,26799988,[373,256,71,29,32,23,2,0,0,2,0]],[26799988,26813388,[335,254,76,23,50,36,3,5,0,0,0]],[26813388,26826795,[364,255,77,16,38,18,4,6,0,0,0]],[26826795,26840209,[355,250,77,29,37,26,6,1,0,1,0]],[26840209,26853630,[347,268,82,23,38,25,4,2,0,0,0]],[26853630,26867057,[349,263,89,14,42,19,4,2,0,1,0]],[26867057,26880491,[368,265,73,15,40,28,3,2,0,0,0]],[26880491,26893932,[366,258,83,24,39,21,1,4,0,1,0]],[26893932,26907379,[378,242,70,20,36,28,2,8,0,0,0]],[26907379,26920833,[387,243,74,23,45,22,3,4,0,0,0]],[26920833,26934294,[374,253,75,21,43,24,6,2,0,1,0]],[26934294,26947762,[364,234,69,24,42,22,2,4,0,0,0]],[26947762,26961236,[353,267,96,13,45,24,2,4,0,1,0]],[26961236,26974717,[375,257,74,29,36,16,4,2,0,0,0]],[26974717,26988205,[351,277,71,21,31,26,2,4,0,1,0]],[26988205,27001700,[385,236,81,26,42,22,1,6,0,1,0]],[27001700,27015201,[367,248,86,20,39,25,1,2,0,2,1]],[27015201,27028709,[379,261,69,15,37,26,4,3,0,0,1]],[27028709,27042224,[314,255,88,26,34,34,7,5,0,0,0]],[27042224,27055746,[366,255,81,17,40,21,6,5,0,1,0]],[27055746,27069274,[354,259,82,22,49,21,6,3,0,0,0]],[27069274,27082809,[374,254,82,24,50,23,4,4,0,1,0]],[27082809,27096351,[383,263,76,22,39,30,5,4,0,0,0]],[27096351,27109900,[314,288,80,16,40,29,4,5,0,2,0]],[27109900,27123455,[366,250,85,22,33,19,3,4,0,1,0]],[27123455,27137017,[354,254,75,27,46,25,6,5,0,2,0]],[27137017,27150586,[376,270,87,24,35,17,2,5,0,0,0]],[27150586,27164162,[362,251,81,31,40,23,7,4,0,0,0]],[27164162,27177745,[338,265,97,18,43,24,4,3,0,1,0]],[27177745,27191334,[358,237,97,17,38,28,3,0,0,0,0]],[27191334,27204930,[350,244,72,27,49,33,6,2,0,0,0]],[27204930,27218533,[348,265,80,23,31,30,2,4,0,0,0]],[27218533,27232143,[368,262,85,20,36,27,8,4,0,1,0]],[27232143,27245760,[366,238,74,24,31,22,2,4,0,1,0]],[27245760,27259383,[385,259,75,21,32,21,6,5,0,0,0]],[27259383,27273013,[350,236,90,23,35,28,4,6,0,1,0]],[27273013,27286650,[339,264,77,25,50,28,3,3,0,0,0]],[27286650,27300294,[381,250,70,15,48,21,3,5,0,2,0]],[27300294,27313945,[371,241,72,22,49,25,3,5,0,1,0]],[27313945,27327602,[359,272,81,16,36,20,3,5,0,0,0]],[27327602,27341266,[343,271,96,16,42,28,4,2,0,1,0]],[27341266,27354937,[353,270,77,19,41,26,5,2,0,1,0]],[27354937,27368615,[362,259,82,19,44,22,5,7,0,0,0]],[27368615,27382300,[361,248,79,21,40,26,4,1,0,0,0]],[27382300,27395992,[381,234,81,35,47,26,4,3,0,2,0]],[27395992,27409690,[371,269,63,22,45,25,3,2,0,0,0]],[27409690,27423395,[393,268,82,19,30,18,7,3,0,1,0]],[27423395,27437107,[399,249,64,19,47,22,3,4,0,0,0]],[27437107,27450826,[399,229,95,16,40,23,3,3,0,1,0]],[27450826,27464552,[364,248,81,21,33,25,6,8,0,0,0]],[27464552,27478285,[382,233,72,39,45,24,6,2,0,0,0]],[27478285,27492025,[368,255,75,16,47,25,3,5,0,0,1]],[27492025,27505772,[363,252,81,15,40,27,3,4,0,0,0]],[27505772,27519525,[370,267,91,22,36,23,8,1,0,2,0]],[27519525,27533285,[364,259,72,22,48,28,1,1,0,0,0]],[27533285,27547052,[364,280,77,23,37,26,6,7,0,0,0]],[27547052,27560826,[378,248,73,27,43,18,5,4,0,0,0]],[27560826,27574607,[373,270,70,23,39,21,7,5,0,0,0]],[27574607,27588395,[388,250,87,30,44,24,2,4,0,0,0]],[27588395,27602190,[398,283,78,23,37,19,7,4,0,1,0]],[27602190,27615992,[365,252,87,17,36,20,6,1,0,1,0]],[27615992,27629800,[380,246,74,23,42,26,5,4,0,0,0]],[27629800,27643615,[349,292,83,20,41,28,7,2,0,1,0]],[27643615,27657437,[346,251,92,19,34,30,4,3,0,1,0]],[27657437,27671266,[359,254,90,20,47,20,3,7,0,1,0]],[27671266,27685102,[359,271,81,23,43,22,3,4,0,0,0]],[27685102,27698945,[342,263,79,36,30,22,2,6,0,0,0]],[27698945,27712795,[364,268,84,31,49,23,5,2,0,0,0]],[27712795,27726652,[352,267,94,14,37,28,7,5,0,0,0]],[27726652,27740516,[404,269,89,29,50,17,5,3,0,0,0]],[27740516,27754387,[357,281,81,26,43,28,3,3,0,0,0]],[27754387,27768265,[385,242,75,21,35,20,7,3,0,0,0]],[27768265,27782150,[360,266,65,30,46,20,7,3,0,0,0]],[27782150,27796042,[348,246,94,24,33,29,6,0,0,1,0]],[27796042,27809941,[382,269,86,17,39,22,5,8,0,0,0]],[27809941,27823846,[346,265,86,26,39,21,3,10,0,1,0]],[27823846,27837758,[384,253,87,15,36,23,2,2,0,2,0]],[27837758,27851677,[341,284,83,17,37,15,2,1,0,2,0]],[27851677,27865603,[357,241,101,28,33,31,8,4,0,2,0]],[27865603,27879536,[372,297,80,25,41,24,5,1,0,0,0]],[27879536,27893476,[353,236,83,27,43,26,7,4,0,0,0]],[27893476,27907423,[400,276,87,24,37,29,3,2,0,1,0]],[27907423,27921377,[386,256,93,22,36,22,4,5,0,1,0]],[27921377,27935338,[390,245,80,24,36,28,10,9,0,2,0]],[27935338,27949306,[381,252,91,17,36,26,5,2,0,0,0]],[27949306,27963281,[400,253,77,24,28,20,2,5,0,0,0]],[27963281,27977263,[386,282,74,19,50,23,3,3,0,1,0]],[27977263,27991252,[352,245,90,26,41,28,8,3,0,2,0]],[27991252,28005248,[369,261,84,23,38,25,3,3,0,0,0]],[28005248,28019251,[380,265,80,21,57,22,4,2,0,1,0]],[28019251,28033261,[367,269,82,26,54,33,1,2,0,0,0]],[28033261,28047278,[375,262,79,23,39,29,4,4,0,0,0]],[28047278,28061302,[363,248,67,22,52,32,1,7,0,0,0]],[28061302,28075333,[357,286,83,19,45,26,2,3,0,0,0]],[28075333,28089371,[400,243,89,19,47,19,6,3,0,0,0]],[28089371,28103416,[375,277,77,30,43,21,4,2,0,3,0]],[28103416,28117468,[351,286,70,28,38,20,0,2,0,1,0]],[28117468,28131527,[371,265,75,23,46,27,0,3,0,0,0]],[28131527,28145593,[359,278,80,28,46,23,10,3,0,0,0]],[28145593,28159666,[402,272,69,18,39,27,0,6,0,0,0]],[28159666,28173746,[396,240,91,28,35,16,4,5,0,0,0]],[28173746,28187833,[382,240,69,19,52,24,5,4,0,0,0]],[28187833,28201927,[384,234,81,25,36,22,8,3,0,0,1]],[28201927,28216028,[397,265,94,21,42,27,5,5,0,0,0]],[28216028,28230137,[419,239,89,26,35,19,6,5,0,1,0]],[28230137,28244253,[404,255,78,24,41,27,3,5,0,0,0]],[28244253,28258376,[361,244,89,22,45,34,4,5,0,0,0]],[28258376,28272506,[371,282,83,17,48,29,6,6,0,1,0]],[28272506,28286643,[379,258,88,20,41,29,9,1,0,1,0]],[28286643,28300787,[376,286,92,19,43,31,4,2,0,0,0]],[28300787,28314938,[367,275,88,23,38,32,3,6,0,0,0]],[28314938,28329096,[388,248,94,20,48,23,2,8,0,2,0]],[28329096,28343261,[387,252,81,20,33,37,4,6,0,0,0]],[28343261,28357433,[359,253,93,24,45,17,2,9,0,0,0]],[28357433,28371612,[400,238,83,28,28,23,8,5,0,0,0]],[28371612,28385798,[360,267,90,15,39,31,2,1,0,1,0]],[28385798,28399991,[378,257,95,28,48,25,4,3,0,2,0]],[28399991,28414191,[371,282,74,24,35,20,2,2,0,1,0]],[28414191,28428399,[366,274,79,25,49,32,6,4,0,1,0]],[28428399,28442614,[404,246,86,21,50,21,3,2,0,1,0]],[28442614,28456836,[382,259,75,30,41,22,3,3,0,1,0]],[28456836,28471065,[402,257,80,22,36,20,7,6,0,0,1]],[28471065,28485301,[375,259,70,23,50,38,3,3,0,0,0]],[28485301,28499544,[418,297,84,19,30,19,1,4,0,2,0]],[28499544,28513794,[378,275,85,35,42,18,5,6,0,0,0]],[28513794,28528051,[382,259,83,19,41,34,3,3,0,0,0]],[28528051,28542316,[388,258,78,18,36,23,4,5,0,1,0]],[28542316,28556588,[401,247,89,14,52,34,2,4,0,1,0]],[28556588,28570867,[408,259,77,23,36,18,4,4,0,0,0]],[28570867,28585153,[383,262,74,23,48,33,4,7,0,0,0]],[28585153,28599446,[369,276,89,26,40,27,4,0,0,1,0]],[28599446,28613746,[360,286,83,25,39,25,4,1,0,0,1]],[28613746,28628053,[375,291,83,29,42,28,3,3,0,0,0]],[28628053,28642368,[388,267,87,17,29,21,2,3,0,0,0]],[28642368,28656690,[391,291,88,13,41,22,7,2,0,0,0]],[28656690,28671019,[396,256,85,18,37,25,3,6,0,0,0]],[28671019,28685355,[407,275,71,30,32,24,5,6,0,0,0]],[28685355,28699698,[346,255,99,25,43,25,8,6,0,0,0]],[28699698,28714048,[373,273,71,33,45,20,3,8,0,0,0]],[28714048,28728406,[415,251,76,16,40,29,4,4,0,1,0]],[28728406,28742771,[389,273,97,29,32,27,5,7,0,0,0]],[28742771,28757143,[390,253,89,21,40,29,2,2,0,1,0]],[28757143,28771522,[353,255,95,24,35,36,4,3,0,1,0]],[28771522,28785908,[394,284,68,16,41,25,5,4,0,0,0]],[28785908,28800301,[408,279,75,14,43,28,4,5,0,0,0]],[28800301,28814702,[350,264,90,16,37,26,0,6,0,0,0]],[28814702,28829110,[389,287,76,21,45,26,3,0,0,1,0]],[28829110,28843525,[406,248,76,21,46,21,5,5,0,1,0]],[28843525,28857947,[411,271,80,22,43,20,6,5,0,2,0]],[28857947,28872376,[412,249,84,34,37,26,6,3,0,0,0]],[28872376,28886813,[363,294,70,27,32,35,6,2,0,0,0]],[28886813,28901257,[401,263,88,18,32,30,10,7,0,1,0]],[28901257,28915708,[379,270,81,24,43,30,5,3,0,0,0]],[28915708,28930166,[384,282,94,18,40,35,5,5,0,1,0]],[28930166,28944632,[352,278,82,18,33,27,6,4,0,1,0]],[28944632,28959105,[412,268,84,22,45,22,7,1,0,1,0]],[28959105,28973585,[383,248,93,22,38,28,2,3,0,0,0]],[28973585,28988072,[388,283,82,19,41,29,2,6,0,1,0]],[28988072,29002567,[362,292,89,32,46,26,5,2,0,1,0]],[29002567,29017069,[392,267,95,16,42,23,3,6,0,1,0]],[29017069,29031578,[406,265,77,22,51,18,3,2,0,2,0]],[29031578,29046094,[377,264,94,16,52,32,5,1,0,0,0]],[29046094,29060618,[370,263,84,30,35,27,4,7,0,0,0]],[29060618,29075149,[400,285,77,17,37,17,3,1,0,1,0]],[29075149,29089687,[368,302,85,23,43,27,4,5,0,1,0]],[29089687,29104232,[372,270,86,30,38,36,5,2,0,0,0]],[29104232,29118785,[398,291,73,22,36,29,1,3,0,2,0]],[29118785,29133345,[408,261,76,19,39,26,7,6,0,0,0]],[29133345,29147912,[372,273,88,30,36,26,4,3,0,1,0]],[29147912,29162486,[374,288,80,21,51,32,5,3,0,0,0]],[29162486,29177068,[363,278,85,25,41,26,2,8,0,0,0]],[29177068,29191657,[390,264,73,25,51,23,3,4,0,0,0]],[29191657,29206253,[401,263,91,25,52,27,5,1,0,1,0]],[29206253,29220857,[406,270,78,23,39,31,4,2,0,1,0]],[29220857,29235468,[372,259,97,19,34,24,4,3,0,1,0]],[29235468,29250086,[404,251,81,17,47,18,4,4,0,0,0]],[29250086,29264712,[371,296,110,21,43,26,7,6,0,0,0]],[29264712,29279345,[399,271,74,29,47,23,1,5,0,1,0]],[29279345,29293985,[390,302,90,22,44,34,3,4,0,0,0]],[29293985,29308632,[422,296,66,18,40,27,4,2,0,1,0]],[29308632,29323287,[376,278,102,20,45,20,6,7,0,0,0]],[29323287,29337949,[375,287,85,19,46,23,3,7,0,1,0]],[29337949,29352618,[396,275,94,29,37,21,8,6,0,0,0]],[29352618,29367295,[381,276,106,35,40,32,1,2,0,3,0]],[29367295,29381979,[392,282,105,24,43,18,6,4,0,1,0]],[29381979,29396670,[350,291,88,23,40,29,6,4,0,1,0]],[29396670,29411369,[363,282,86,31,41,35,7,0,0,0,0]],[29411369,29426075,[406,243,83,15,41,25,2,2,0,0,0]],[29426075,29440789,[390,276,75,21,42,28,6,6,0,0,0]],[29440789,29455510,[373,273,85,25,44,30,9,4,0,1,0]],[29455510,29470238,[418,251,78,27,38,32,3,4,0,0,0]],[29470238,29484974,[406,273,99,24,31,23,5,0,0,0,0]],[29484974,29499717,[401,270,83,22,48,31,5,3,0,0,0]],[29499717,29514467,[391,257,83,30,35,31,6,5,0,0,0]],[29514467,29529225,[401,274,92,28,46,28,5,5,0,0,0]],[29529225,29543990,[387,285,90,23,31,31,4,5,0,0,0]],[29543990,29558762,[397,273,82,18,55,29,5,4,0,0,0]],[29558762,29573542,[371,279,88,28,40,23,5,2,0,0,0]],[29573542,29588329,[418,261,92,21,38,26,3,1,0,0,0]],[29588329,29603124,[399,298,82,24,45,28,2,1,0,0,0]],[29603124,29617926,[391,265,93,24,37,34,4,6,0,0,0]],[29617926,29632735,[390,279,88,20,58,27,2,5,0,2,0]],[29632735,29647552,[404,267,83,23,42,25,5,4,0,0,0]],[29647552,29662376,[400,271,102,23,47,30,5,0,0,0,1]],[29662376,29677208,[409,284,77,21,36,30,5,2,0,0,0]],[29677208,29692047,[390,276,82,21,57,36,1,4,0,0,0]],[29692047,29706894,[412,274,84,22,42,23,13,2,0,0,0]],[29706894,29721748,[413,284,88,30,51,26,0,4,0,0,0]],[29721748,29736609,[393,285,99,25,45,23,6,5,0,0,0]],[29736609,29751478,[356,274,85,22,45,35,4,1,0,2,0]],[29751478,29766354,[386,255,92,25,33,33,3,4,0,0,0]],[29766354,29781238,[399,275,88,17,39,30,5,5,0,1,0]],[29781238,29796129,[378,291,79,25,41,25,7,4,0,0,0]],[29796129,29811028,[389,293,86,20,36,30,3,6,0,0,0]],[29811028,29825934,[394,303,62,18,42,24,4,4,0,1,0]],[29825934,29840847,[370,290,91,29,52,27,3,4,0,0,0]],[29840847,29855768,[407,311,89,32,35,22,7,3,0,0,0]],[29855768,29870696,[394,296,104,27,39,29,5,3,0,0,0]],[29870696,29885632,[400,301,94,18,35,25,2,2,0,1,0]],[29885632,29900575,[381,295,86,31,54,30,4,3,0,0,0]],[29900575,29915526,[382,298,83,15,37,19,7,5,0,1,0]],[29915526,29930484,[394,276,92,15,51,26,6,6,0,1,0]],[29930484,29945450,[419,297,104,18,45,28,3,3,0,1,0]],[29945450,29960423,[407,288,70,17,49,27,6,1,0,0,0]],[29960423,29975404,[420,242,97,31,50,34,4,4,0,0,0]],[29975404,29990392,[383,294,107,21,42,22,4,8,0,0,0]],[29990392,30000000,[245,181,62,18,24,23,1,2,0,0,0]]],\"seconds\":22.465900978000718}\n" }, { "path": "anc/code/1.1.1/data/3723_census_blocks/block_30000000_40000000.json", "size_bytes": 30494, "sha256": "54d2d3e29103fbf9da69f43acc446cf849045983e12e72b2048cb4788ad47948", "mode": 420, "encoding": "utf-8", "text": "{\"lower\":30000000,\"upper\":40000000,\"prime_count\":575795,\"sha256_prime_rootcount_stream\":\"711aba3e871ea37ac23ff58ac24792256b8f2a13514efe3330fedffdda0312ec\",\"bins\":[[30000000,30005388,[150,114,30,6,10,6,2,1,0,0,0]],[30005388,30020391,[425,288,83,18,34,33,2,4,0,1,0]],[30020391,30035402,[389,313,91,18,39,23,3,4,0,1,0]],[30035402,30050420,[402,270,101,17,37,29,3,3,0,0,0]],[30050420,30065446,[390,302,85,31,40,24,6,1,0,0,0]],[30065446,30080479,[395,283,101,18,39,36,6,3,0,0,0]],[30080479,30095520,[399,321,82,21,34,28,6,8,0,0,0]],[30095520,30110568,[382,283,80,27,40,34,1,5,0,0,0]],[30110568,30125624,[380,281,99,19,42,28,6,2,0,0,0]],[30125624,30140687,[426,290,85,21,40,29,3,5,0,0,0]],[30140687,30155758,[410,292,90,26,44,27,4,4,0,1,1]],[30155758,30170836,[390,269,81,24,49,26,5,1,0,0,0]],[30170836,30185922,[395,316,81,21,35,30,3,4,0,0,0]],[30185922,30201015,[417,261,98,30,46,29,3,6,0,0,0]],[30201015,30216116,[407,289,80,25,44,25,5,7,0,0,0]],[30216116,30231225,[374,307,90,17,47,37,5,5,0,0,0]],[30231225,30246341,[400,280,99,34,52,21,3,2,0,0,0]],[30246341,30261465,[370,299,81,27,47,28,4,7,0,0,0]],[30261465,30276596,[419,242,92,30,51,29,7,2,0,2,0]],[30276596,30291735,[407,269,93,29,40,30,2,4,0,0,0]],[30291735,30306881,[402,294,98,30,36,22,6,6,0,1,0]],[30306881,30322035,[413,275,87,20,45,34,2,5,0,0,0]],[30322035,30337197,[430,299,84,27,45,19,3,5,0,0,0]],[30337197,30352366,[393,310,69,20,44,28,4,3,0,0,0]],[30352366,30367543,[418,274,90,21,46,27,6,4,0,0,0]],[30367543,30382727,[390,285,92,30,34,26,3,3,0,1,0]],[30382727,30397919,[404,310,85,14,51,28,4,7,0,1,0]],[30397919,30413118,[400,283,84,38,58,28,4,5,0,1,0]],[30413118,30428325,[372,279,96,27,45,18,4,4,0,1,0]],[30428325,30443540,[389,248,94,28,43,24,4,1,0,1,0]],[30443540,30458762,[415,265,91,20,51,31,5,7,0,0,0]],[30458762,30473992,[426,271,84,24,46,29,5,3,0,1,0]],[30473992,30489229,[394,316,75,22,36,20,8,5,0,0,0]],[30489229,30504474,[381,285,94,27,47,24,8,7,0,0,0]],[30504474,30519727,[420,300,77,26,39,31,8,3,0,0,0]],[30519727,30534987,[392,305,81,26,42,23,4,6,0,2,0]],[30534987,30550255,[421,310,84,25,38,25,2,7,0,0,0]],[30550255,30565531,[375,288,90,22,41,34,8,4,0,0,0]],[30565531,30580814,[427,283,86,28,46,27,3,5,0,0,0]],[30580814,30596105,[401,308,90,30,46,36,2,3,0,1,0]],[30596105,30611404,[379,317,78,30,45,26,3,4,0,0,0]],[30611404,30626710,[384,287,117,24,49,28,3,3,0,0,0]],[30626710,30642024,[397,287,89,29,54,29,3,5,0,0,0]],[30642024,30657346,[422,304,98,32,34,35,4,1,0,0,0]],[30657346,30672675,[441,285,84,23,43,25,6,6,0,0,0]],[30672675,30688012,[379,277,94,29,48,31,13,4,0,1,0]],[30688012,30703357,[376,301,81,31,65,28,2,5,0,0,0]],[30703357,30718709,[379,305,83,29,41,25,2,5,0,0,0]],[30718709,30734069,[404,286,104,25,41,30,6,6,0,0,0]],[30734069,30749437,[420,272,93,23,38,29,2,4,0,2,0]],[30749437,30764812,[398,300,85,27,37,31,4,3,0,1,0]],[30764812,30780195,[417,286,81,20,40,33,3,2,0,0,0]],[30780195,30795586,[413,281,86,25,43,30,5,2,0,0,0]],[30795586,30810984,[408,279,97,24,44,30,5,6,0,2,0]],[30810984,30826390,[402,302,85,26,46,31,5,5,0,0,0]],[30826390,30841804,[407,304,86,25,45,33,6,0,0,0,0]],[30841804,30857225,[422,279,80,19,50,28,5,7,0,0,0]],[30857225,30872654,[431,285,86,25,43,19,5,5,0,2,0]],[30872654,30888091,[444,283,100,25,42,22,7,1,0,0,0]],[30888091,30903536,[392,292,100,33,41,30,4,8,0,0,0]],[30903536,30918988,[398,318,93,18,41,27,3,4,0,2,0]],[30918988,30934448,[396,293,80,29,46,19,9,6,0,1,0]],[30934448,30949916,[437,273,89,14,31,35,6,3,0,0,0]],[30949916,30965391,[409,279,97,19,46,30,4,6,0,0,0]],[30965391,30980874,[428,258,81,21,39,37,5,6,0,0,0]],[30980874,30996365,[389,289,93,15,35,28,11,6,0,0,0]],[30996365,31011864,[434,301,86,17,44,20,4,8,0,1,0]],[31011864,31027370,[433,268,101,20,57,25,8,2,0,0,0]],[31027370,31042884,[402,288,105,30,30,28,3,4,0,1,0]],[31042884,31058406,[389,272,89,24,39,27,5,1,0,0,0]],[31058406,31073936,[415,278,93,28,38,34,5,7,0,0,0]],[31073936,31089473,[419,290,86,28,33,21,8,2,0,0,0]],[31089473,31105018,[399,282,86,19,41,36,5,5,0,1,0]],[31105018,31120571,[416,300,97,20,47,24,4,6,0,0,0]],[31120571,31136132,[427,306,85,24,44,28,4,4,0,1,0]],[31136132,31151701,[422,315,74,26,37,28,7,4,0,2,0]],[31151701,31167277,[398,268,90,29,49,34,1,2,0,1,0]],[31167277,31182861,[402,286,84,22,53,24,3,2,0,1,0]],[31182861,31198453,[419,274,108,28,50,26,1,2,0,1,0]],[31198453,31214053,[416,293,92,24,32,36,2,6,0,0,0]],[31214053,31229661,[445,287,87,13,50,20,6,5,0,0,0]],[31229661,31245276,[395,301,102,18,51,33,7,8,0,0,0]],[31245276,31260899,[407,281,87,21,44,30,6,3,0,0,1]],[31260899,31276530,[410,279,99,23,48,34,4,4,0,0,0]],[31276530,31292169,[442,296,94,33,54,27,1,5,0,0,0]],[31292169,31307816,[412,280,91,32,45,36,2,3,0,0,0]],[31307816,31323470,[403,291,91,37,45,32,4,4,0,0,0]],[31323470,31339132,[436,275,93,30,47,39,1,4,0,0,0]],[31339132,31354802,[396,312,86,26,56,24,5,4,0,1,0]],[31354802,31370480,[414,276,87,22,48,32,5,5,0,1,0]],[31370480,31386166,[410,283,76,24,54,29,4,9,0,1,1]],[31386166,31401860,[411,304,92,19,47,42,2,3,0,2,0]],[31401860,31417561,[414,302,85,20,45,25,9,8,0,1,0]],[31417561,31433270,[443,248,88,36,50,29,2,5,0,0,0]],[31433270,31448987,[418,287,95,25,40,27,7,3,0,0,0]],[31448987,31464712,[392,305,100,24,43,35,2,3,0,0,0]],[31464712,31480445,[424,277,87,22,44,22,3,1,0,0,0]],[31480445,31496186,[410,308,85,25,40,19,12,3,0,1,0]],[31496186,31511935,[391,297,103,23,42,42,5,4,0,0,0]],[31511935,31527691,[421,277,106,29,43,25,7,3,0,0,0]],[31527691,31543455,[374,286,107,19,56,30,9,1,0,1,0]],[31543455,31559227,[409,316,98,26,43,24,7,5,0,2,0]],[31559227,31575007,[442,290,102,21,55,29,4,2,0,1,0]],[31575007,31590795,[444,271,111,23,40,31,3,4,0,1,0]],[31590795,31606591,[403,299,92,18,43,22,8,9,0,1,0]],[31606591,31622395,[444,284,88,27,41,35,5,6,0,2,0]],[31622395,31638207,[383,322,93,22,56,28,4,2,0,0,0]],[31638207,31654027,[387,315,92,33,38,37,5,2,0,1,0]],[31654027,31669855,[445,283,69,34,46,24,3,3,0,1,0]],[31669855,31685690,[432,322,90,27,36,30,4,6,0,0,0]],[31685690,31701533,[409,325,85,29,34,33,8,5,0,0,0]],[31701533,31717384,[405,305,84,19,42,24,4,2,0,1,0]],[31717384,31733243,[431,285,88,32,40,30,3,3,0,1,0]],[31733243,31749110,[417,308,94,21,48,25,4,4,0,0,0]],[31749110,31764985,[417,288,85,28,48,21,7,1,0,0,0]],[31764985,31780868,[416,319,92,15,50,30,5,3,0,1,0]],[31780868,31796759,[422,279,106,20,49,23,4,5,0,0,0]],[31796759,31812658,[436,297,74,31,54,36,9,5,0,2,0]],[31812658,31828565,[437,293,93,18,46,21,3,6,0,1,0]],[31828565,31844480,[425,309,111,16,48,26,4,2,0,0,0]],[31844480,31860403,[441,307,76,27,57,30,5,3,0,1,0]],[31860403,31876334,[438,283,97,28,32,33,6,2,0,0,0]],[31876334,31892273,[427,283,83,31,44,32,3,6,0,0,0]],[31892273,31908220,[428,297,95,20,39,33,7,3,0,0,0]],[31908220,31924175,[448,294,95,15,52,28,1,7,0,0,0]],[31924175,31940138,[398,297,85,21,61,29,7,5,0,1,0]],[31940138,31956109,[426,306,81,23,51,25,6,4,0,2,0]],[31956109,31972088,[443,297,75,30,43,28,5,3,0,1,0]],[31972088,31988075,[439,283,100,13,51,25,5,3,0,1,0]],[31988075,32004070,[436,314,82,32,48,26,3,2,0,0,0]],[32004070,32020073,[443,275,86,30,37,24,5,5,0,0,0]],[32020073,32036084,[429,279,98,23,43,25,5,7,0,1,0]],[32036084,32052103,[395,309,82,42,52,38,3,5,0,1,0]],[32052103,32068130,[414,303,93,25,58,28,2,4,0,0,0]],[32068130,32084165,[420,323,100,22,43,24,2,2,0,1,0]],[32084165,32100208,[399,284,97,34,52,37,7,7,0,0,0]],[32100208,32116259,[462,309,84,29,53,37,4,5,0,0,0]],[32116259,32132318,[414,276,105,27,45,40,2,3,0,0,0]],[32132318,32148385,[441,293,84,33,44,35,7,4,0,0,0]],[32148385,32164460,[398,320,94,31,45,32,6,6,0,2,0]],[32164460,32180543,[445,292,67,25,48,28,6,2,0,1,0]],[32180543,32196634,[426,314,81,25,36,26,3,4,0,0,0]],[32196634,32212733,[397,290,107,26,51,31,6,5,0,1,0]],[32212733,32228840,[415,284,84,27,57,27,4,2,0,1,0]],[32228840,32244955,[469,280,97,25,60,29,6,9,0,0,0]],[32244955,32261078,[417,310,89,29,42,33,4,6,0,1,0]],[32261078,32277209,[426,293,93,24,53,34,1,6,0,1,0]],[32277209,32293348,[433,292,95,31,46,36,4,1,0,0,1]],[32293348,32309495,[448,286,89,31,56,37,2,2,0,0,0]],[32309495,32325650,[453,282,79,24,43,25,4,6,0,1,0]],[32325650,32341813,[446,285,96,28,53,31,5,4,0,1,0]],[32341813,32357984,[448,294,90,31,45,24,6,3,0,3,0]],[32357984,32374163,[423,296,97,27,52,31,9,1,0,1,0]],[32374163,32390351,[417,298,113,22,34,28,3,7,0,0,0]],[32390351,32406547,[442,287,89,31,45,35,5,5,0,0,0]],[32406547,32422751,[421,299,92,39,50,34,10,3,0,0,0]],[32422751,32438963,[426,296,83,25,47,20,8,3,0,3,0]],[32438963,32455183,[443,326,77,14,43,33,6,8,0,0,0]],[32455183,32471411,[415,304,125,20,54,25,3,4,0,0,0]],[32471411,32487647,[425,321,98,28,50,25,2,4,0,0,0]],[32487647,32503891,[432,295,106,15,46,30,6,5,0,1,0]],[32503891,32520143,[448,287,91,25,43,32,4,3,0,1,0]],[32520143,32536404,[452,288,93,27,43,38,4,6,0,1,0]],[32536404,32552673,[423,309,107,24,36,29,1,4,0,0,0]],[32552673,32568950,[425,311,88,37,50,23,4,3,0,2,0]],[32568950,32585235,[431,327,101,26,43,29,7,5,0,0,0]],[32585235,32601528,[421,310,99,37,42,34,4,2,0,0,0]],[32601528,32617829,[450,276,95,20,44,32,10,3,0,0,0]],[32617829,32634138,[452,301,92,31,45,34,6,4,0,1,0]],[32634138,32650456,[397,301,94,29,43,21,3,9,0,1,0]],[32650456,32666782,[469,316,79,16,40,33,5,5,0,0,0]],[32666782,32683116,[417,295,104,29,52,24,7,4,0,0,1]],[32683116,32699458,[434,320,99,19,48,33,7,4,0,0,0]],[32699458,32715808,[436,323,78,27,43,27,9,2,0,0,0]],[32715808,32732166,[405,332,91,29,52,28,4,1,0,2,0]],[32732166,32748533,[452,300,76,35,44,28,7,5,0,1,0]],[32748533,32764908,[426,307,92,25,37,33,3,4,0,1,0]],[32764908,32781291,[412,302,104,23,49,36,6,5,0,1,0]],[32781291,32797682,[443,312,100,25,55,26,3,6,0,0,0]],[32797682,32814081,[423,299,92,24,38,33,6,11,0,1,0]],[32814081,32830489,[440,290,75,30,43,27,5,6,0,0,0]],[32830489,32846905,[445,312,91,27,40,28,5,0,0,0,0]],[32846905,32863329,[447,293,102,29,46,29,3,3,0,2,0]],[32863329,32879761,[426,299,97,28,50,28,6,2,0,0,0]],[32879761,32896201,[475,306,92,28,42,25,7,4,0,0,0]],[32896201,32912650,[441,296,95,22,56,25,3,4,0,0,0]],[32912650,32929107,[425,332,87,19,46,36,5,5,0,1,0]],[32929107,32945572,[462,320,88,39,35,23,3,3,0,1,0]],[32945572,32962045,[463,291,105,25,53,23,5,5,0,0,0]],[32962045,32978527,[435,302,87,31,55,32,6,5,0,0,1]],[32978527,32995017,[453,308,76,16,51,41,3,4,0,1,0]],[32995017,33011515,[437,321,83,18,40,37,8,1,0,2,1]],[33011515,33028021,[450,295,78,34,45,36,5,7,0,0,0]],[33028021,33044536,[437,293,88,26,47,22,4,3,0,1,0]],[33044536,33061059,[433,319,85,29,51,16,4,9,0,1,0]],[33061059,33077590,[455,279,104,30,51,30,6,7,0,0,0]],[33077590,33094129,[427,330,85,29,29,26,8,5,0,0,0]],[33094129,33110677,[453,305,93,18,54,35,5,4,0,0,0]],[33110677,33127233,[443,291,108,30,47,28,3,4,0,1,0]],[33127233,33143797,[435,305,92,30,48,28,7,8,0,2,0]],[33143797,33160369,[437,320,97,26,55,25,4,4,0,0,0]],[33160369,33176950,[419,347,94,28,37,26,8,5,0,0,0]],[33176950,33193539,[422,331,109,27,37,32,1,7,0,0,0]],[33193539,33210136,[446,297,93,25,43,27,3,5,0,0,0]],[33210136,33226742,[452,312,80,22,56,28,4,6,0,1,0]],[33226742,33243356,[394,345,109,30,49,25,8,3,0,0,0]],[33243356,33259978,[438,343,103,26,44,20,4,8,0,2,0]],[33259978,33276608,[409,319,97,34,43,34,3,5,0,0,0]],[33276608,33293247,[467,312,108,26,42,28,5,3,0,0,0]],[33293247,33309894,[439,308,85,28,55,27,3,2,0,1,0]],[33309894,33326549,[425,307,110,34,50,33,8,1,0,1,0]],[33326549,33343213,[452,322,79,31,49,26,9,8,0,2,0]],[33343213,33359885,[438,305,95,32,44,32,4,6,0,0,0]],[33359885,33376565,[431,329,92,26,60,31,9,3,0,0,0]],[33376565,33393254,[422,325,108,25,39,43,5,6,0,0,0]],[33393254,33409951,[462,326,79,21,52,25,5,2,0,1,0]],[33409951,33426656,[457,298,101,22,41,30,5,4,0,1,0]],[33426656,33443370,[427,316,95,26,49,35,11,6,0,1,0]],[33443370,33460092,[465,281,97,32,38,28,10,5,0,0,0]],[33460092,33476823,[421,330,97,24,54,54,4,8,0,4,0]],[33476823,33493562,[427,304,98,22,65,29,3,4,0,0,0]],[33493562,33510309,[416,332,84,26,45,25,6,4,0,0,0]],[33510309,33527065,[431,315,101,27,41,31,3,3,0,0,0]],[33527065,33543829,[446,313,101,21,45,30,4,3,0,2,0]],[33543829,33560601,[479,317,88,26,46,26,8,5,0,2,0]],[33560601,33577382,[458,303,95,32,45,28,6,1,0,1,0]],[33577382,33594171,[428,314,97,25,39,28,4,6,0,1,0]],[33594171,33610969,[415,315,106,31,52,29,7,6,0,0,0]],[33610969,33627775,[445,322,77,30,49,31,9,3,0,2,0]],[33627775,33644589,[442,303,107,29,50,20,3,3,0,0,0]],[33644589,33661412,[464,323,91,18,50,25,5,5,0,1,0]],[33661412,33678243,[443,309,89,37,48,30,5,3,0,0,0]],[33678243,33695083,[427,345,96,20,52,27,4,6,0,1,0]],[33695083,33711931,[451,322,99,31,43,34,5,5,0,0,0]],[33711931,33728787,[450,309,84,33,46,29,1,5,0,1,1]],[33728787,33745652,[449,304,94,29,51,33,2,5,0,0,0]],[33745652,33762525,[459,338,92,27,41,33,3,7,0,0,0]],[33762525,33779407,[444,303,119,36,45,30,6,5,0,0,0]],[33779407,33796297,[433,319,108,27,32,25,5,5,0,2,0]],[33796297,33813196,[432,332,98,39,44,23,3,1,0,1,0]],[33813196,33830103,[480,322,90,31,35,37,8,3,0,0,0]],[33830103,33847019,[406,361,93,22,48,37,3,2,0,0,0]],[33847019,33863943,[437,313,110,27,43,43,2,9,0,3,0]],[33863943,33880875,[461,294,110,23,54,27,4,5,0,2,0]],[33880875,33897816,[457,322,93,23,45,29,5,5,0,2,0]],[33897816,33914765,[435,308,102,32,48,27,10,3,0,2,0]],[33914765,33931723,[466,299,90,26,53,32,2,7,0,0,0]],[33931723,33948689,[407,341,108,22,51,23,6,2,0,0,0]],[33948689,33965664,[417,308,98,29,45,38,5,4,0,1,0]],[33965664,33982647,[462,301,99,27,44,24,4,9,0,1,0]],[33982647,33999639,[483,288,98,31,55,26,4,6,0,1,0]],[33999639,34016639,[460,322,73,24,42,33,3,4,0,2,0]],[34016639,34033648,[472,276,104,29,59,22,4,6,0,1,0]],[34033648,34050665,[444,326,94,26,50,30,6,9,0,0,0]],[34050665,34067691,[433,330,99,25,37,31,7,4,0,1,0]],[34067691,34084725,[447,303,100,25,52,33,0,2,0,1,0]],[34084725,34101768,[478,295,81,36,60,22,8,2,0,0,0]],[34101768,34118819,[462,307,106,20,53,32,6,1,0,2,0]],[34118819,34135879,[447,304,102,26,47,23,3,7,0,0,0]],[34135879,34152947,[471,312,91,33,39,29,6,7,0,1,0]],[34152947,34170024,[438,306,108,17,48,22,3,5,0,0,0]],[34170024,34187110,[437,312,100,27,60,29,4,2,0,0,0]],[34187110,34204204,[451,329,87,21,55,32,3,4,0,1,0]],[34204204,34221307,[430,358,98,22,44,34,3,5,0,1,0]],[34221307,34238418,[441,301,106,27,42,34,3,7,0,0,0]],[34238418,34255538,[444,320,90,25,49,28,2,5,0,0,0]],[34255538,34272666,[481,328,94,27,39,34,5,4,0,2,0]],[34272666,34289803,[426,332,99,25,57,33,3,3,0,0,0]],[34289803,34306948,[431,340,93,39,46,37,5,6,0,0,0]],[34306948,34324102,[448,289,109,24,50,26,5,4,0,1,0]],[34324102,34341265,[456,310,88,38,51,33,6,3,0,2,0]],[34341265,34358436,[428,337,86,21,51,31,7,7,0,0,0]],[34358436,34375616,[434,309,109,20,47,27,1,5,0,1,0]],[34375616,34392804,[478,301,104,30,52,27,13,7,0,0,1]],[34392804,34410001,[440,312,108,33,56,34,4,5,0,2,0]],[34410001,34427207,[469,288,100,30,53,28,8,1,0,1,0]],[34427207,34444421,[452,320,101,27,44,29,8,5,0,0,0]],[34444421,34461644,[439,328,107,27,43,30,8,9,0,1,0]],[34461644,34478875,[485,311,95,34,46,35,8,6,0,2,0]],[34478875,34496115,[444,329,84,36,55,35,5,7,0,0,0]],[34496115,34513364,[497,303,85,29,44,23,3,9,0,1,1]],[34513364,34530621,[495,299,107,31,50,29,6,2,0,0,0]],[34530621,34547887,[462,319,83,21,54,38,6,3,0,1,0]],[34547887,34565161,[441,315,110,35,59,23,3,4,0,2,0]],[34565161,34582444,[468,326,98,38,45,17,4,3,0,0,0]],[34582444,34599736,[476,305,101,27,47,34,2,4,0,0,0]],[34599736,34617036,[486,284,93,40,53,32,5,7,0,0,0]],[34617036,34634345,[465,320,97,24,49,31,3,4,0,2,0]],[34634345,34651663,[440,334,100,24,35,28,5,7,0,0,0]],[34651663,34668989,[451,298,79,18,51,40,6,5,0,1,0]],[34668989,34686324,[461,305,109,26,54,36,1,5,0,2,0]],[34686324,34703668,[454,314,107,28,56,29,1,2,0,0,0]],[34703668,34721020,[466,321,104,30,37,39,8,5,0,0,0]],[34721020,34738381,[438,301,114,29,60,29,5,7,0,0,0]],[34738381,34755751,[458,290,102,36,42,34,2,10,0,1,0]],[34755751,34773129,[463,341,91,35,51,31,6,6,0,1,0]],[34773129,34790516,[476,312,87,31,50,29,5,7,0,0,0]],[34790516,34807912,[474,331,96,36,40,43,1,4,0,0,0]],[34807912,34825316,[458,316,99,25,50,25,4,3,0,1,0]],[34825316,34842729,[451,332,90,30,39,23,10,1,0,1,0]],[34842729,34860151,[452,327,103,29,51,38,9,9,0,0,0]],[34860151,34877582,[496,314,100,28,52,35,6,9,0,2,0]],[34877582,34895021,[456,321,110,38,46,20,10,6,0,1,0]],[34895021,34912469,[477,322,98,31,57,28,3,3,0,0,0]],[34912469,34929926,[458,347,111,33,49,28,7,4,0,0,0]],[34929926,34947391,[404,317,126,36,46,36,3,3,0,0,0]],[34947391,34964865,[487,319,85,30,52,33,7,4,0,0,0]],[34964865,34982348,[461,328,104,22,62,26,4,5,0,0,0]],[34982348,34999840,[482,301,90,23,44,35,6,3,0,1,0]],[34999840,35017340,[469,326,86,19,48,38,4,5,0,0,0]],[35017340,35034849,[451,337,95,32,49,30,6,8,0,0,0]],[35034849,35052367,[426,346,92,30,47,39,7,8,0,0,0]],[35052367,35069894,[470,319,99,26,48,28,4,4,0,1,0]],[35069894,35087429,[436,336,104,29,56,30,5,3,0,0,0]],[35087429,35104973,[442,327,106,28,60,40,4,3,0,2,0]],[35104973,35122526,[449,329,102,36,52,34,3,6,0,0,0]],[35122526,35140088,[445,347,92,25,41,35,8,4,0,0,0]],[35140088,35157659,[466,355,111,25,46,25,4,4,0,0,0]],[35157659,35175238,[457,346,100,23,45,31,5,5,0,0,0]],[35175238,35192826,[461,310,104,27,58,24,1,2,0,0,0]],[35192826,35210423,[487,337,94,26,52,29,5,1,0,2,0]],[35210423,35228029,[462,348,103,31,31,36,6,3,0,2,0]],[35228029,35245644,[467,332,97,24,57,35,7,1,0,1,0]],[35245644,35263267,[459,344,107,25,58,34,2,4,0,0,0]],[35263267,35280899,[450,318,95,23,44,32,5,3,0,0,0]],[35280899,35298540,[471,346,97,21,43,28,9,5,0,3,0]],[35298540,35316190,[464,346,96,28,55,41,5,4,0,0,0]],[35316190,35333849,[445,361,102,23,45,38,6,3,0,2,0]],[35333849,35351516,[461,350,90,31,43,25,6,1,0,0,0]],[35351516,35369192,[439,323,96,30,63,26,3,5,0,0,0]],[35369192,35386877,[494,349,89,21,57,21,6,4,0,0,0]],[35386877,35404571,[464,339,119,26,53,39,8,5,0,0,0]],[35404571,35422274,[447,324,100,28,59,48,8,3,0,0,0]],[35422274,35439986,[450,349,93,22,50,34,4,2,0,2,0]],[35439986,35457706,[452,352,102,35,53,39,5,1,0,1,0]],[35457706,35475435,[437,333,103,18,50,31,5,4,0,1,0]],[35475435,35493173,[473,312,110,31,54,27,6,4,0,0,0]],[35493173,35510920,[470,352,87,24,44,37,4,4,0,1,0]],[35510920,35528676,[466,333,95,21,54,42,5,3,0,0,0]],[35528676,35546441,[472,312,134,33,50,36,0,4,0,1,0]],[35546441,35564215,[496,304,104,29,57,32,2,8,0,2,0]],[35564215,35581998,[446,330,118,32,44,25,4,3,0,0,0]],[35581998,35599789,[490,323,86,26,42,30,3,5,0,2,0]],[35599789,35617589,[487,334,98,29,50,28,2,5,0,2,0]],[35617589,35635398,[488,319,98,26,51,27,4,4,0,1,0]],[35635398,35653216,[499,326,97,28,57,29,5,5,0,3,0]],[35653216,35671043,[446,342,113,34,51,29,7,5,0,0,0]],[35671043,35688879,[469,316,102,26,53,40,2,4,0,1,0]],[35688879,35706724,[496,300,92,21,58,36,5,2,0,0,0]],[35706724,35724578,[429,333,111,36,60,29,4,7,0,2,0]],[35724578,35742441,[479,344,97,30,64,25,6,2,0,2,0]],[35742441,35760313,[478,320,115,38,48,29,2,4,0,0,0]],[35760313,35778194,[493,329,103,24,57,24,8,3,0,0,0]],[35778194,35796084,[491,334,92,29,72,34,3,2,0,0,0]],[35796084,35813983,[439,321,101,32,43,34,3,5,0,0,0]],[35813983,35831890,[508,320,90,20,60,29,4,3,0,0,0]],[35831890,35849806,[494,319,111,25,60,32,5,2,0,1,0]],[35849806,35867731,[465,328,91,37,50,39,5,3,0,2,0]],[35867731,35885665,[456,362,94,28,48,28,0,4,0,1,0]],[35885665,35903608,[444,354,95,23,40,31,1,4,0,0,0]],[35903608,35921560,[454,336,109,29,56,38,11,4,0,1,0]],[35921560,35939521,[478,317,109,24,64,40,5,4,0,0,0]],[35939521,35957491,[479,324,100,28,46,34,7,9,0,0,0]],[35957491,35975470,[476,368,79,28,35,31,4,4,0,0,0]],[35975470,35993458,[481,363,106,26,50,17,3,2,0,0,0]],[35993458,36011455,[480,317,115,29,57,44,6,3,0,1,1]],[36011455,36029461,[464,360,104,22,63,41,7,8,0,0,0]],[36029461,36047476,[485,336,96,24,41,27,3,5,0,0,0]],[36047476,36065500,[481,316,100,29,49,37,4,5,0,2,0]],[36065500,36083533,[476,324,102,30,54,33,5,4,0,2,0]],[36083533,36101575,[462,368,102,32,46,35,3,4,0,2,0]],[36101575,36119626,[461,309,117,30,60,40,10,7,0,0,0]],[36119626,36137686,[439,340,112,37,51,32,15,7,0,1,0]],[36137686,36155755,[479,346,98,33,51,30,3,1,0,3,0]],[36155755,36173833,[477,322,105,31,45,26,3,5,0,1,0]],[36173833,36191920,[474,330,99,23,40,33,9,4,0,2,0]],[36191920,36210016,[471,336,99,14,51,34,10,8,0,0,0]],[36210016,36228122,[464,356,107,33,57,41,4,3,0,1,0]],[36228122,36246237,[489,332,88,25,53,31,9,6,0,2,0]],[36246237,36264361,[468,365,132,31,50,31,7,4,0,0,0]],[36264361,36282494,[478,311,109,29,60,39,5,6,0,1,0]],[36282494,36300636,[504,347,106,25,48,28,4,6,0,0,0]],[36300636,36318787,[430,347,106,29,52,39,8,6,0,0,0]],[36318787,36336947,[483,361,112,37,60,37,3,4,0,0,0]],[36336947,36355116,[431,347,129,29,53,27,4,5,0,0,0]],[36355116,36373294,[472,354,113,38,42,39,8,8,0,1,0]],[36373294,36391481,[449,327,124,28,40,36,2,4,0,0,0]],[36391481,36409677,[478,335,83,35,68,32,3,4,0,3,0]],[36409677,36427882,[472,336,105,18,45,31,7,8,0,0,0]],[36427882,36446096,[499,335,99,36,37,27,3,8,0,1,0]],[36446096,36464320,[471,349,110,35,44,33,5,5,0,0,0]],[36464320,36482553,[504,353,97,23,47,28,6,5,0,2,0]],[36482553,36500795,[493,336,78,20,59,50,2,11,0,0,0]],[36500795,36519046,[478,350,114,20,57,38,2,3,0,0,0]],[36519046,36537306,[467,341,104,32,47,31,6,4,0,3,0]],[36537306,36555575,[481,359,96,24,52,25,5,7,0,0,0]],[36555575,36573853,[479,309,108,24,53,37,3,6,0,0,0]],[36573853,36592140,[514,359,97,34,46,28,3,4,0,2,0]],[36592140,36610437,[480,344,104,29,46,34,5,7,0,0,0]],[36610437,36628743,[521,310,105,33,53,27,5,4,0,2,0]],[36628743,36647058,[458,308,104,33,53,41,7,7,0,2,0]],[36647058,36665382,[470,336,121,22,70,30,8,7,0,1,0]],[36665382,36683715,[482,320,98,31,63,25,2,3,0,0,0]],[36683715,36702057,[470,351,98,33,46,39,4,2,0,3,0]],[36702057,36720409,[474,339,113,33,52,28,2,5,0,1,0]],[36720409,36738770,[450,355,91,38,57,29,1,1,0,1,0]],[36738770,36757140,[519,342,112,23,49,34,5,5,0,0,0]],[36757140,36775519,[481,363,96,36,57,34,6,5,0,0,0]],[36775519,36793907,[470,355,104,24,51,30,8,5,0,1,0]],[36793907,36812304,[500,337,91,35,52,31,9,9,0,0,0]],[36812304,36830711,[484,321,106,36,55,34,9,4,0,0,0]],[36830711,36849127,[469,330,112,30,45,30,3,4,0,5,0]],[36849127,36867552,[490,343,107,30,52,34,4,4,0,1,0]],[36867552,36885986,[483,334,110,25,52,34,7,7,0,1,0]],[36885986,36904429,[432,324,106,35,56,35,6,5,0,0,0]],[36904429,36922882,[502,335,92,24,42,29,7,6,0,0,0]],[36922882,36941344,[478,344,108,29,62,41,4,2,0,2,0]],[36941344,36959815,[483,359,112,31,40,33,1,6,0,0,0]],[36959815,36978295,[510,349,115,15,53,29,3,3,0,0,0]],[36978295,36996785,[482,363,102,34,62,27,3,3,0,1,0]],[36996785,37015284,[460,348,123,29,63,32,2,6,0,0,0]],[37015284,37033792,[505,338,103,31,57,36,2,3,0,0,0]],[37033792,37052309,[483,328,115,32,55,30,7,4,0,2,0]],[37052309,37070836,[482,346,108,29,53,32,9,3,0,1,0]],[37070836,37089372,[470,342,104,31,58,36,8,7,0,1,0]],[37089372,37107917,[524,365,96,26,54,32,6,1,0,0,0]],[37107917,37126471,[482,366,120,32,67,32,5,5,0,0,0]],[37126471,37145035,[501,353,107,37,49,32,4,3,0,0,0]],[37145035,37163608,[477,347,115,25,38,26,4,7,0,1,0]],[37163608,37182190,[518,323,111,23,44,31,4,3,0,1,0]],[37182190,37200782,[496,352,109,23,58,22,8,8,0,0,0]],[37200782,37219383,[482,349,121,23,58,29,6,4,0,0,0]],[37219383,37237993,[477,347,110,14,46,36,5,1,0,1,0]],[37237993,37256612,[482,345,97,28,54,29,5,9,0,1,0]],[37256612,37275241,[472,349,109,26,60,26,4,2,0,0,0]],[37275241,37293879,[485,336,123,32,53,35,4,2,0,2,0]],[37293879,37312526,[520,329,106,21,65,24,4,4,0,0,0]],[37312526,37331183,[512,339,87,28,42,38,6,3,0,1,0]],[37331183,37349849,[464,340,125,37,52,42,5,10,0,0,0]],[37349849,37368524,[513,331,112,41,56,32,3,4,0,0,1]],[37368524,37387209,[506,330,109,29,43,36,5,7,0,1,0]],[37387209,37405903,[506,370,94,34,55,30,8,3,0,0,0]],[37405903,37424606,[454,345,110,23,58,31,6,5,0,1,0]],[37424606,37443319,[479,337,102,34,62,37,8,4,0,2,0]],[37443319,37462041,[492,359,86,29,48,36,8,5,0,0,0]],[37462041,37480773,[504,358,107,29,51,31,3,6,0,2,0]],[37480773,37499514,[509,347,111,35,43,33,3,3,0,0,0]],[37499514,37518264,[523,363,115,35,43,41,0,8,0,0,0]],[37518264,37537024,[508,330,114,34,44,36,3,4,0,1,0]],[37537024,37555793,[474,376,104,25,50,34,6,5,0,2,0]],[37555793,37574571,[470,350,105,35,48,36,4,6,0,2,0]],[37574571,37593359,[498,323,100,28,56,30,11,5,0,0,0]],[37593359,37612156,[507,339,105,25,56,36,4,7,0,1,0]],[37612156,37630963,[504,349,119,25,44,35,7,5,0,1,0]],[37630963,37649779,[500,365,106,36,50,35,3,4,0,0,0]],[37649779,37668604,[505,360,96,30,62,26,6,4,0,1,0]],[37668604,37687439,[487,331,100,32,53,34,5,4,0,0,0]],[37687439,37706283,[515,338,102,25,63,32,3,8,0,2,0]],[37706283,37725137,[507,366,87,23,55,37,6,6,0,0,0]],[37725137,37744000,[504,342,121,22,50,35,3,5,0,0,0]],[37744000,37762872,[455,369,110,35,56,30,3,3,0,1,0]],[37762872,37781754,[495,358,105,35,55,35,7,7,0,0,0]],[37781754,37800645,[483,365,91,29,49,42,7,7,0,1,0]],[37800645,37819546,[481,344,100,30,50,42,4,4,0,0,0]],[37819546,37838456,[550,336,94,32,52,40,6,2,0,0,0]],[37838456,37857376,[497,335,98,30,58,44,3,6,0,0,0]],[37857376,37876305,[477,337,123,32,57,35,5,5,0,0,0]],[37876305,37895244,[486,361,104,32,44,31,8,5,0,0,0]],[37895244,37914192,[455,397,109,35,58,31,7,7,0,0,0]],[37914192,37933150,[512,341,108,26,49,41,8,6,0,0,0]],[37933150,37952117,[482,370,96,33,50,18,8,5,0,0,0]],[37952117,37971094,[530,350,103,25,48,32,3,6,0,1,0]],[37971094,37990080,[489,345,99,35,51,41,4,5,0,0,0]],[37990080,38009076,[482,350,122,34,56,35,3,9,0,1,0]],[38009076,38028081,[496,331,113,43,58,41,4,6,0,0,0]],[38028081,38047096,[488,360,107,35,46,32,7,8,0,1,0]],[38047096,38066120,[502,364,111,28,63,40,4,4,0,1,0]],[38066120,38085154,[538,348,101,35,63,38,6,6,0,1,0]],[38085154,38104197,[512,358,91,23,52,25,3,7,0,1,0]],[38104197,38123250,[480,364,109,32,65,30,8,6,0,2,0]],[38123250,38142312,[537,361,85,23,50,19,4,5,0,1,0]],[38142312,38161384,[498,358,103,25,54,39,4,6,0,1,0]],[38161384,38180465,[484,399,111,36,43,43,3,4,0,0,0]],[38180465,38199556,[495,362,98,26,57,59,2,3,0,1,0]],[38199556,38218656,[480,374,109,25,52,48,7,5,0,0,0]],[38218656,38237766,[509,369,87,34,57,37,2,3,0,2,0]],[38237766,38256885,[513,338,114,43,55,31,5,4,0,0,0]],[38256885,38276014,[498,343,124,43,54,30,8,3,0,1,0]],[38276014,38295153,[509,360,111,33,64,33,6,5,0,1,0]],[38295153,38314301,[518,341,115,33,60,26,5,7,0,1,0]],[38314301,38333459,[491,351,111,27,77,28,5,6,0,3,0]],[38333459,38352626,[472,375,96,35,53,34,7,7,0,2,0]],[38352626,38371803,[514,334,104,43,46,41,5,4,0,3,0]],[38371803,38390989,[501,349,112,36,58,31,5,3,0,1,0]],[38390989,38410185,[512,334,101,29,54,28,6,3,0,1,0]],[38410185,38429391,[505,367,111,35,64,36,7,3,0,1,0]],[38429391,38448606,[522,359,117,33,58,26,3,5,0,0,0]],[38448606,38467831,[498,340,124,34,43,38,7,4,0,0,0]],[38467831,38487065,[469,375,116,29,42,41,8,5,0,1,0]],[38487065,38506309,[493,376,115,37,51,37,3,2,0,1,0]],[38506309,38525563,[520,348,120,26,65,39,6,3,0,0,0]],[38525563,38544826,[516,352,106,14,34,22,10,2,0,0,0]],[38544826,38564099,[537,337,96,31,63,30,0,11,0,1,0]],[38564099,38583382,[499,332,110,33,65,35,6,4,0,0,0]],[38583382,38602674,[525,349,119,21,51,34,7,5,0,1,0]],[38602674,38621976,[536,334,106,25,57,34,5,6,0,0,0]],[38621976,38641287,[503,343,109,25,39,44,9,4,0,1,0]],[38641287,38660608,[521,387,85,25,55,30,3,9,0,1,0]],[38660608,38679939,[517,345,106,25,54,36,4,5,0,0,0]],[38679939,38699279,[529,345,116,31,59,39,8,5,0,0,0]],[38699279,38718629,[502,375,118,38,52,37,9,9,0,1,0]],[38718629,38737989,[483,384,111,32,56,33,11,7,0,1,0]],[38737989,38757358,[505,357,113,30,61,32,9,5,0,0,0]],[38757358,38776737,[495,367,126,40,47,34,5,10,0,3,0]],[38776737,38796126,[546,336,98,31,62,33,6,3,0,0,0]],[38796126,38815525,[506,361,107,25,49,45,7,7,0,2,0]],[38815525,38834933,[514,371,106,33,52,36,4,5,0,1,0]],[38834933,38854351,[489,405,108,26,52,29,10,2,0,0,0]],[38854351,38873779,[523,361,104,28,70,31,5,4,0,1,0]],[38873779,38893216,[518,362,118,37,52,31,2,2,0,0,0]],[38893216,38912663,[489,377,105,30,68,28,4,1,0,0,0]],[38912663,38932120,[542,369,125,27,60,28,6,3,0,0,0]],[38932120,38951587,[512,344,113,25,52,42,4,5,0,3,0]],[38951587,38971063,[485,351,110,31,50,49,3,7,0,3,0]],[38971063,38990549,[470,361,116,44,54,46,7,4,0,1,0]],[38990549,39010045,[495,364,108,32,55,38,1,8,0,0,0]],[39010045,39029551,[510,362,106,30,64,26,3,5,0,0,0]],[39029551,39049066,[521,385,91,34,61,26,7,7,0,1,0]],[39049066,39068591,[520,363,100,17,53,27,9,5,0,0,0]],[39068591,39088126,[518,369,114,23,60,35,2,3,0,0,0]],[39088126,39107671,[511,351,116,30,58,37,4,5,0,5,0]],[39107671,39127225,[525,360,108,26,66,43,6,7,0,0,0]],[39127225,39146789,[533,344,98,34,59,42,7,4,0,1,0]],[39146789,39166363,[549,346,108,24,60,39,7,3,0,1,0]],[39166363,39185947,[502,353,102,39,53,37,9,3,0,0,0]],[39185947,39205540,[513,382,104,41,43,19,9,3,0,2,1]],[39205540,39225143,[523,345,116,38,62,24,6,7,0,2,0]],[39225143,39244756,[537,373,107,23,53,30,9,6,0,2,0]],[39244756,39264379,[493,345,124,24,57,44,9,7,0,0,0]],[39264379,39284012,[519,381,117,26,61,28,7,5,0,2,0]],[39284012,39303655,[558,379,102,27,53,45,2,4,0,0,0]],[39303655,39323307,[531,387,118,30,47,35,3,5,0,0,0]],[39323307,39342969,[525,357,90,32,61,38,5,3,0,0,0]],[39342969,39362641,[563,345,97,28,59,35,5,5,0,1,0]],[39362641,39382323,[468,377,97,42,47,47,4,8,0,2,0]],[39382323,39402015,[528,373,115,22,59,32,4,6,0,1,0]],[39402015,39421717,[545,377,102,24,55,44,6,5,0,1,0]],[39421717,39441428,[472,372,116,39,63,33,2,3,0,1,0]],[39441428,39461149,[557,339,119,24,54,34,2,2,0,0,0]],[39461149,39480880,[537,326,110,31,56,38,11,5,0,0,0]],[39480880,39500621,[549,342,126,28,54,43,3,3,0,0,0]],[39500621,39520372,[544,381,115,38,53,40,5,6,0,1,0]],[39520372,39540133,[518,343,109,35,58,23,9,4,0,0,0]],[39540133,39559904,[496,401,124,27,60,27,6,3,0,0,0]],[39559904,39579684,[512,351,120,21,60,35,4,5,0,1,0]],[39579684,39599474,[518,372,111,31,59,29,4,6,0,1,0]],[39599474,39619274,[539,369,131,31,56,43,4,5,0,3,0]],[39619274,39639084,[526,360,119,34,50,45,6,6,0,3,0]],[39639084,39658904,[508,355,130,30,60,30,5,5,0,0,0]],[39658904,39678734,[525,377,111,31,62,39,4,9,0,0,0]],[39678734,39698574,[494,386,117,29,49,41,5,2,0,1,0]],[39698574,39718424,[509,347,104,41,53,41,8,11,0,0,0]],[39718424,39738284,[518,368,94,33,59,33,6,6,0,1,0]],[39738284,39758154,[499,363,118,41,66,39,6,8,0,1,0]],[39758154,39778034,[512,360,118,37,57,39,11,3,0,2,0]],[39778034,39797924,[535,345,118,40,52,36,5,6,0,1,0]],[39797924,39817823,[491,388,119,31,54,34,7,8,0,0,0]],[39817823,39837732,[502,361,110,27,60,39,8,3,0,1,0]],[39837732,39857651,[531,370,112,30,59,36,5,5,0,1,0]],[39857651,39877580,[499,370,122,34,62,39,5,5,0,0,0]],[39877580,39897519,[499,359,104,34,65,40,8,1,0,0,0]],[39897519,39917468,[551,373,99,30,66,36,9,9,0,0,0]],[39917468,39937427,[522,359,105,27,61,38,5,6,0,2,0]],[39937427,39957396,[500,360,105,34,51,37,2,7,0,0,0]],[39957396,39977375,[512,383,111,33,60,41,4,2,0,0,0]],[39977375,39997364,[507,384,105,40,62,34,4,3,0,2,0]],[39997364,40000000,[63,56,12,5,7,5,2,2,0,0,0]]],\"seconds\":22.228875138011063}\n" }, { "path": "anc/code/1.1.1/data/3723_census_blocks/block_40000000_50000000.json", "size_bytes": 23989, "sha256": "d1c61a1e59f1eb04cce27e272833a942255a9e82838cd829bab0f2d21bc8e6b8", "mode": 420, "encoding": "utf-8", "text": "{\"lower\":40000000,\"upper\":50000000,\"prime_count\":567480,\"sha256_prime_rootcount_stream\":\"3fb0ef9f034e189436c78ef4ed10c87d5d4ca9d1c5ab8ac5d7d72572ba3b5885\",\"bins\":[[40000000,40017363,[455,328,96,24,43,33,5,4,0,0,1]],[40017363,40037372,[508,371,108,25,71,30,14,5,0,0,0]],[40037372,40057391,[526,359,114,24,54,41,4,5,0,0,0]],[40057391,40077420,[550,338,109,37,64,31,6,11,0,1,1]],[40077420,40097459,[559,368,107,33,53,27,6,5,0,1,0]],[40097459,40117508,[536,357,139,30,62,31,5,5,0,0,0]],[40117508,40137567,[513,388,102,36,58,37,9,2,0,1,0]],[40137567,40157636,[511,381,111,34,54,36,8,9,0,0,0]],[40157636,40177715,[518,372,116,31,67,34,6,12,0,0,0]],[40177715,40197804,[530,376,110,32,50,35,5,4,0,0,0]],[40197804,40217903,[509,374,100,18,45,52,7,6,0,2,0]],[40217903,40238012,[549,360,112,28,48,40,3,9,0,0,0]],[40238012,40258132,[525,375,110,23,57,33,4,6,0,0,0]],[40258132,40278262,[544,407,108,32,57,32,2,10,0,1,0]],[40278262,40298402,[528,359,137,42,49,38,10,7,0,0,0]],[40298402,40318552,[513,388,122,32,62,34,6,4,0,0,0]],[40318552,40338712,[512,410,102,27,68,41,4,7,0,1,0]],[40338712,40358882,[527,381,122,31,43,40,9,6,0,0,0]],[40358882,40379062,[576,377,98,24,60,28,2,5,0,0,0]],[40379062,40399252,[551,352,111,31,49,40,6,6,0,0,0]],[40399252,40419452,[512,355,119,27,55,40,5,8,0,0,0]],[40419452,40439662,[516,395,98,32,59,34,11,2,0,0,0]],[40439662,40459882,[541,383,112,34,51,33,6,3,0,2,0]],[40459882,40480112,[508,360,124,40,57,40,3,3,0,1,0]],[40480112,40500353,[566,379,110,26,63,39,10,4,0,3,0]],[40500353,40520604,[526,370,111,28,59,31,2,7,0,1,0]],[40520604,40540865,[515,377,122,38,60,31,10,6,0,0,0]],[40540865,40561136,[510,368,114,28,61,36,7,1,0,3,0]],[40561136,40581417,[538,364,111,28,55,37,6,2,0,1,0]],[40581417,40601708,[500,360,134,39,59,35,4,11,0,0,0]],[40601708,40622009,[537,362,120,40,68,23,5,5,0,2,0]],[40622009,40642321,[527,342,106,36,75,38,6,6,0,2,0]],[40642321,40662643,[530,381,100,33,61,45,10,3,0,1,0]],[40662643,40682975,[500,399,113,26,63,40,3,2,0,0,0]],[40682975,40703317,[505,360,142,41,64,47,8,6,0,1,0]],[40703317,40723669,[526,411,111,23,71,33,3,5,0,1,0]],[40723669,40744031,[550,370,132,42,60,35,4,7,0,3,0]],[40744031,40764404,[538,365,122,38,52,26,8,8,0,1,0]],[40764404,40784787,[521,411,129,30,61,33,6,4,0,0,0]],[40784787,40805180,[534,399,115,29,49,41,3,5,0,0,0]],[40805180,40825583,[530,365,113,29,65,37,7,5,0,1,0]],[40825583,40845996,[560,370,105,33,57,54,8,7,0,2,0]],[40845996,40866419,[558,357,116,36,55,29,2,3,0,1,0]],[40866419,40886853,[507,400,123,31,47,40,6,5,0,0,0]],[40886853,40907297,[503,371,127,27,56,24,4,6,0,1,0]],[40907297,40927751,[519,368,114,32,60,31,8,5,0,2,0]],[40927751,40948215,[536,352,121,36,54,36,11,6,0,2,0]],[40948215,40968690,[598,356,96,30,58,30,3,8,0,0,0]],[40968690,40989175,[544,382,106,49,57,39,5,5,0,1,0]],[40989175,41009670,[541,370,106,32,57,32,12,7,0,1,0]],[41009670,41030175,[542,371,128,26,68,38,5,8,0,0,0]],[41030175,41050691,[537,351,132,27,60,25,7,3,0,1,0]],[41050691,41071217,[528,366,126,31,47,40,7,10,0,0,0]],[41071217,41091753,[532,397,132,36,57,46,3,5,0,1,0]],[41091753,41112299,[534,397,116,36,47,35,7,10,0,0,0]],[41112299,41132856,[567,348,128,27,58,38,9,3,0,1,0]],[41132856,41153423,[551,358,137,23,59,46,6,6,0,0,0]],[41153423,41174000,[486,398,125,38,64,37,10,2,0,0,0]],[41174000,41194587,[584,362,128,17,59,37,6,2,0,0,0]],[41194587,41215185,[548,368,103,28,62,33,4,4,0,2,0]],[41215185,41235793,[546,333,139,43,60,40,8,6,0,1,0]],[41235793,41256411,[513,366,108,46,68,38,5,3,0,3,0]],[41256411,41277040,[521,385,128,35,52,42,4,3,0,2,0]],[41277040,41297679,[525,379,136,35,57,31,4,5,0,1,0]],[41297679,41318328,[546,385,118,27,45,33,7,5,0,0,0]],[41318328,41338988,[559,392,125,41,52,37,4,6,0,2,0]],[41338988,41359658,[526,387,115,30,62,33,7,5,0,1,0]],[41359658,41380338,[527,370,122,39,54,34,3,4,0,1,0]],[41380338,41401029,[539,374,121,25,61,31,6,3,0,1,0]],[41401029,41421730,[533,381,116,35,55,41,5,3,0,0,0]],[41421730,41442441,[569,374,99,41,71,31,5,7,0,1,0]],[41442441,41463163,[550,398,109,34,67,42,8,8,0,2,0]],[41463163,41483895,[552,361,111,29,57,28,2,11,0,0,0]],[41483895,41504637,[564,379,122,28,58,34,5,9,0,2,0]],[41504637,41525390,[540,387,108,23,58,35,7,3,0,0,0]],[41525390,41546153,[589,339,127,31,53,39,12,5,0,0,0]],[41546153,41566927,[548,384,114,38,57,36,4,2,0,1,0]],[41566927,41587711,[529,340,132,35,54,25,7,8,0,1,0]],[41587711,41608505,[512,401,131,23,56,41,7,5,0,1,0]],[41608505,41629310,[493,387,130,31,72,36,4,4,0,2,0]],[41629310,41650125,[543,392,120,27,44,31,9,5,0,3,0]],[41650125,41670951,[554,367,130,41,58,33,8,5,0,2,0]],[41670951,41691787,[558,370,122,34,59,43,8,4,0,0,0]],[41691787,41712633,[549,393,118,32,55,33,11,3,0,0,0]],[41712633,41733490,[535,399,109,34,68,30,5,7,0,0,0]],[41733490,41754357,[538,394,110,31,69,35,2,5,0,1,0]],[41754357,41775235,[533,418,95,42,65,34,4,6,0,3,0]],[41775235,41796123,[514,418,105,41,62,53,9,6,0,1,0]],[41796123,41817022,[536,411,101,26,66,26,12,6,0,2,1]],[41817022,41837931,[548,402,120,34,64,42,8,5,0,0,0]],[41837931,41858850,[528,394,124,35,56,43,14,5,0,0,1]],[41858850,41879780,[532,381,115,32,69,32,8,5,0,1,0]],[41879780,41900720,[560,394,105,46,48,36,3,5,0,1,0]],[41900720,41921671,[570,360,100,33,60,27,4,11,0,0,0]],[41921671,41942632,[554,355,108,32,62,39,6,2,0,1,0]],[41942632,41963604,[556,373,140,37,54,35,5,8,0,1,0]],[41963604,41984586,[542,384,106,36,50,31,3,6,0,1,0]],[41984586,42005579,[548,374,123,28,56,41,6,3,0,0,0]],[42005579,42026582,[578,381,114,30,49,37,7,5,0,0,0]],[42026582,42047596,[547,366,127,35,62,40,3,5,0,1,0]],[42047596,42068620,[529,390,123,33,47,45,12,5,0,0,0]],[42068620,42089655,[546,402,118,34,77,30,5,6,0,0,0]],[42089655,42110700,[554,403,121,24,50,34,7,10,0,0,0]],[42110700,42131756,[549,383,123,24,49,32,9,5,0,0,0]],[42131756,42152822,[583,419,108,24,59,39,9,4,0,3,0]],[42152822,42173899,[553,377,134,32,46,48,10,6,0,0,0]],[42173899,42194986,[538,372,128,24,70,42,5,5,0,1,0]],[42194986,42216084,[575,377,121,38,56,46,6,7,0,1,0]],[42216084,42237193,[539,386,124,30,58,34,5,4,0,1,0]],[42237193,42258312,[549,406,139,28,58,35,3,6,0,0,0]],[42258312,42279442,[575,368,125,38,64,44,10,4,0,0,0]],[42279442,42300582,[599,387,114,35,51,53,5,9,0,0,0]],[42300582,42321733,[540,398,127,40,62,37,3,4,0,1,0]],[42321733,42342894,[528,404,107,47,55,35,5,5,0,0,0]],[42342894,42364066,[548,395,126,40,59,27,5,2,0,0,0]],[42364066,42385249,[564,421,114,25,62,28,4,9,0,0,0]],[42385249,42406442,[539,348,130,39,60,36,1,4,0,0,0]],[42406442,42427646,[534,409,120,35,56,43,12,4,0,0,0]],[42427646,42448860,[564,414,95,29,43,53,5,5,0,0,0]],[42448860,42470085,[549,384,121,41,64,46,5,4,0,1,0]],[42470085,42491321,[562,398,122,36,49,53,5,5,0,1,0]],[42491321,42512567,[577,409,104,29,63,30,5,5,0,2,0]],[42512567,42533824,[557,391,120,32,64,28,5,2,0,3,0]],[42533824,42555091,[566,394,111,35,57,42,2,2,0,2,0]],[42555091,42576369,[533,407,108,32,50,37,4,9,0,3,0]],[42576369,42597658,[552,401,117,30,49,33,4,7,0,0,0]],[42597658,42618957,[576,373,125,27,67,35,7,5,0,0,0]],[42618957,42640267,[534,379,135,40,55,51,9,4,0,1,0]],[42640267,42661588,[571,420,107,31,62,37,4,4,0,1,0]],[42661588,42682919,[540,396,109,37,72,42,1,5,0,1,0]],[42682919,42704261,[555,390,131,43,55,36,10,3,0,1,0]],[42704261,42725614,[544,388,120,49,56,38,7,5,0,1,0]],[42725614,42746977,[553,386,122,36,61,43,1,6,0,0,0]],[42746977,42768351,[588,368,125,30,43,48,8,5,0,0,0]],[42768351,42789736,[545,404,124,40,53,45,7,4,0,0,0]],[42789736,42811131,[566,392,132,32,73,45,5,5,0,2,0]],[42811131,42832537,[534,402,121,32,58,31,7,4,0,0,0]],[42832537,42853954,[530,404,131,44,60,40,4,7,0,2,0]],[42853954,42875381,[553,386,125,21,49,33,8,8,0,1,0]],[42875381,42896819,[559,374,118,37,56,38,7,6,0,1,0]],[42896819,42918268,[560,380,114,36,62,39,5,2,0,2,0]],[42918268,42939728,[580,394,130,33,49,51,6,9,0,0,0]],[42939728,42961198,[538,392,108,26,71,38,4,10,0,1,0]],[42961198,42982679,[528,422,112,32,60,33,9,8,0,1,0]],[42982679,43004171,[527,424,137,31,56,41,11,3,0,1,0]],[43004171,43025674,[540,393,127,24,56,44,6,6,0,0,0]],[43025674,43047187,[576,393,125,41,50,31,4,2,0,1,0]],[43047187,43068711,[591,381,118,31,44,40,5,5,0,1,0]],[43068711,43090246,[570,390,138,43,67,44,5,5,0,0,0]],[43090246,43111792,[566,388,123,34,66,40,4,6,0,2,0]],[43111792,43133348,[549,401,118,35,70,37,5,6,0,0,0]],[43133348,43154915,[548,384,131,40,47,37,10,5,0,0,0]],[43154915,43176493,[571,423,134,28,55,42,4,4,0,2,0]],[43176493,43198082,[550,397,128,26,74,32,7,3,0,2,0]],[43198082,43219682,[555,397,137,22,58,44,5,6,0,0,1]],[43219682,43241292,[543,412,130,32,67,39,9,5,0,0,0]],[43241292,43262913,[568,387,136,19,54,38,3,9,0,0,0]],[43262913,43284545,[560,384,113,29,63,43,4,5,0,0,0]],[43284545,43306188,[570,418,112,38,64,37,6,6,0,0,0]],[43306188,43327842,[569,389,129,39,65,23,5,3,0,0,0]],[43327842,43349506,[595,396,102,43,67,37,9,5,0,0,0]],[43349506,43371181,[543,425,126,28,60,31,5,11,0,0,0]],[43371181,43392867,[571,385,125,41,75,35,9,0,0,0,0]],[43392867,43414564,[565,359,142,38,67,37,7,10,0,1,0]],[43414564,43436272,[575,376,122,28,73,44,8,4,0,2,0]],[43436272,43457991,[575,424,125,29,59,48,7,6,0,1,0]],[43457991,43479720,[517,402,117,38,76,37,9,5,0,0,0]],[43479720,43501460,[579,436,118,36,63,42,3,5,0,1,0]],[43501460,43523211,[551,402,123,29,69,46,6,4,0,0,0]],[43523211,43544973,[555,434,117,25,63,46,7,3,0,2,0]],[43544973,43566746,[546,424,131,32,74,41,10,6,0,0,0]],[43566746,43588530,[533,420,126,34,65,46,5,6,0,2,0]],[43588530,43610325,[561,383,128,24,62,28,6,5,0,1,0]],[43610325,43632131,[592,404,113,26,51,44,3,5,0,0,0]],[43632131,43653948,[560,393,125,36,61,41,5,6,0,0,0]],[43653948,43675775,[564,394,101,35,66,33,4,6,0,1,0]],[43675775,43697613,[545,405,116,31,70,50,7,6,0,2,0]],[43697613,43719462,[563,401,140,28,60,41,3,7,0,0,0]],[43719462,43741322,[558,420,127,40,50,43,5,6,0,1,0]],[43741322,43763193,[556,423,109,22,77,29,11,6,0,2,0]],[43763193,43785075,[535,409,125,34,74,46,3,3,0,1,0]],[43785075,43806968,[541,430,120,42,58,30,10,5,0,0,0]],[43806968,43828872,[584,399,116,29,62,44,9,4,0,1,0]],[43828872,43850787,[573,406,140,32,63,37,2,1,0,1,0]],[43850787,43872713,[597,393,130,34,56,32,2,6,0,0,0]],[43872713,43894650,[554,420,100,39,51,42,4,6,0,0,0]],[43894650,43916598,[580,412,112,33,58,39,4,3,0,0,0]],[43916598,43938557,[583,402,111,36,64,32,6,3,0,2,0]],[43938557,43960527,[612,389,150,41,62,32,6,6,0,0,0]],[43960527,43982508,[587,405,137,27,74,42,6,8,0,1,0]],[43982508,44004500,[543,445,114,34,60,33,4,5,0,0,0]],[44004500,44026503,[537,418,130,36,65,34,6,4,0,1,0]],[44026503,44048517,[599,417,107,28,58,38,8,8,0,3,1]],[44048517,44070542,[599,391,117,21,74,40,6,7,0,1,0]],[44070542,44092578,[559,429,98,36,62,31,4,6,0,0,0]],[44092578,44114625,[564,410,127,34,51,37,10,3,0,0,0]],[44114625,44136683,[580,392,110,41,53,47,8,5,0,1,0]],[44136683,44158752,[558,434,118,28,69,33,8,6,0,2,0]],[44158752,44180832,[604,397,109,36,56,49,4,7,0,1,0]],[44180832,44202923,[559,429,140,31,55,34,8,5,0,2,0]],[44202923,44225025,[598,380,131,35,47,39,11,7,0,2,0]],[44225025,44247138,[574,411,98,34,60,54,3,7,0,0,0]],[44247138,44269262,[608,392,123,34,64,37,4,3,0,1,0]],[44269262,44291397,[584,426,146,30,74,36,5,14,0,0,0]],[44291397,44313543,[590,385,120,39,63,33,5,1,0,2,0]],[44313543,44335700,[601,354,131,38,59,42,7,8,0,1,0]],[44335700,44357868,[574,398,124,27,71,48,6,3,0,2,0]],[44357868,44380047,[574,426,107,34,60,47,3,1,0,2,0]],[44380047,44402238,[573,404,127,32,64,38,4,8,0,0,0]],[44402238,44424440,[562,421,147,32,63,43,6,8,0,0,0]],[44424440,44446653,[576,376,128,44,62,41,15,7,0,1,0]],[44446653,44468877,[588,428,127,36,49,33,8,5,0,1,0]],[44468877,44491112,[565,413,120,46,53,38,3,6,0,1,0]],[44491112,44513358,[597,379,135,26,61,40,3,7,0,0,0]],[44513358,44535615,[578,423,135,27,64,48,5,6,0,0,0]],[44535615,44557883,[589,382,118,37,65,37,12,4,0,1,0]],[44557883,44580162,[577,408,151,40,60,45,5,8,0,0,0]],[44580162,44602453,[584,396,138,34,75,47,8,5,0,2,0]],[44602453,44624755,[586,425,124,36,58,39,2,8,0,3,0]],[44624755,44647068,[548,409,147,32,68,39,10,8,0,2,0]],[44647068,44669392,[556,406,130,29,67,37,12,6,0,0,0]],[44669392,44691727,[577,409,129,37,69,47,6,3,0,2,0]],[44691727,44714073,[590,436,113,39,62,47,5,7,0,1,0]],[44714073,44736431,[577,405,141,30,69,37,4,4,0,0,0]],[44736431,44758800,[614,378,126,29,79,43,8,9,0,0,0]],[44758800,44781180,[586,394,139,26,72,39,9,6,0,0,0]],[44781180,44803571,[585,423,112,31,50,44,9,7,0,3,0]],[44803571,44825973,[575,419,102,37,82,40,6,7,0,1,0]],[44825973,44848386,[550,422,138,34,41,39,9,5,0,2,0]],[44848386,44870811,[548,431,142,36,63,39,11,9,0,1,0]],[44870811,44893247,[603,394,127,37,57,35,8,6,0,1,0]],[44893247,44915694,[587,428,115,31,61,40,7,9,0,0,0]],[44915694,44938152,[627,389,114,33,66,36,7,5,0,1,0]],[44938152,44960622,[617,417,123,33,60,40,4,3,0,2,0]],[44960622,44983103,[572,419,122,29,60,33,13,7,0,1,0]],[44983103,45005595,[594,415,130,45,50,33,11,3,0,1,0]],[45005595,45028098,[573,402,122,37,71,43,10,6,0,0,0]],[45028098,45050613,[604,404,131,31,51,46,9,7,0,0,0]],[45050613,45073139,[623,429,124,37,60,43,9,5,0,3,0]],[45073139,45095676,[586,389,101,46,65,44,11,12,0,2,0]],[45095676,45118224,[604,412,133,45,57,27,8,3,0,0,0]],[45118224,45140784,[572,426,137,33,42,45,10,3,0,0,0]],[45140784,45163355,[623,367,134,28,51,38,5,9,0,0,0]],[45163355,45185937,[598,396,129,33,66,38,7,9,0,0,0]],[45185937,45208530,[599,413,118,36,69,28,5,2,0,4,0]],[45208530,45231135,[598,393,158,38,61,38,8,10,0,1,0]],[45231135,45253751,[577,421,131,39,82,40,9,5,0,0,0]],[45253751,45276378,[599,414,115,30,70,45,11,7,0,2,0]],[45276378,45299017,[585,411,146,30,71,42,3,9,0,1,0]],[45299017,45321667,[597,422,150,35,62,37,6,8,0,3,0]],[45321667,45344328,[591,417,140,25,59,40,6,7,0,0,0]],[45344328,45367001,[650,390,119,40,73,42,7,7,0,0,0]],[45367001,45389685,[571,426,114,31,59,46,7,6,0,1,0]],[45389685,45412380,[598,390,133,37,52,46,9,3,0,0,0]],[45412380,45435087,[604,394,142,38,75,37,4,8,0,2,0]],[45435087,45457805,[622,419,127,34,66,54,7,7,0,0,0]],[45457805,45480534,[550,441,144,35,80,40,7,4,0,0,0]],[45480534,45503275,[605,410,116,32,67,26,4,4,0,3,0]],[45503275,45526027,[566,446,129,36,61,35,4,9,0,0,0]],[45526027,45548791,[605,430,103,39,68,50,8,6,0,0,0]],[45548791,45571566,[596,416,120,34,59,31,8,4,0,3,0]],[45571566,45594352,[572,460,144,44,57,40,8,8,0,0,1]],[45594352,45617150,[616,415,120,28,67,49,2,8,0,3,0]],[45617150,45639959,[587,431,114,32,57,47,11,4,0,0,0]],[45639959,45662779,[570,412,131,38,58,42,6,14,0,1,0]],[45662779,45685611,[617,432,119,33,53,38,5,8,0,0,0]],[45685611,45708454,[623,407,106,40,57,42,10,6,0,0,0]],[45708454,45731309,[570,436,117,35,70,48,7,6,0,1,0]],[45731309,45754175,[599,424,136,44,70,44,4,7,0,0,0]],[45754175,45777053,[595,417,140,32,63,43,6,7,0,1,0]],[45777053,45799942,[558,435,124,35,44,28,6,7,0,1,0]],[45799942,45822842,[597,401,119,45,76,44,6,4,0,1,0]],[45822842,45845754,[591,422,131,47,66,45,3,2,0,1,0]],[45845754,45868677,[596,420,123,36,71,41,4,10,0,1,0]],[45868677,45891612,[605,416,124,36,60,51,8,6,0,0,0]],[45891612,45914558,[611,421,138,44,69,40,8,11,0,1,0]],[45914558,45937516,[589,414,142,37,73,43,9,6,0,0,0]],[45937516,45960485,[611,418,122,36,54,48,11,3,0,0,0]],[45960485,45983466,[575,406,122,41,51,37,8,10,0,1,0]],[45983466,46006458,[620,411,138,41,78,35,6,8,0,0,0]],[46006458,46029462,[608,422,126,32,57,32,3,5,0,3,0]],[46029462,46052477,[605,402,145,26,83,47,2,4,0,0,0]],[46052477,46075504,[615,397,142,39,64,29,7,5,0,2,0]],[46075504,46098542,[612,425,109,39,68,36,14,6,0,0,0]],[46098542,46121592,[652,359,128,34,58,35,4,7,0,0,0]],[46121592,46144653,[637,367,133,31,62,38,6,8,0,1,0]],[46144653,46167726,[593,405,149,35,77,35,7,4,0,1,0]],[46167726,46190810,[576,415,150,35,73,43,8,6,0,0,0]],[46190810,46213906,[644,415,133,30,66,40,6,5,0,3,0]],[46213906,46237013,[612,412,139,29,60,36,6,5,0,4,0]],[46237013,46260132,[584,414,133,32,66,46,8,10,0,0,0]],[46260132,46283263,[551,435,143,25,67,46,6,6,0,1,0]],[46283263,46306405,[597,401,143,43,61,32,10,11,0,0,0]],[46306405,46329559,[599,457,121,39,66,37,6,5,0,3,0]],[46329559,46352724,[598,462,118,32,68,44,6,6,0,0,0]],[46352724,46375901,[579,409,135,41,73,34,11,6,0,2,0]],[46375901,46399089,[620,401,137,27,57,43,7,7,0,0,0]],[46399089,46422289,[615,432,141,40,59,38,7,3,0,0,0]],[46422289,46445501,[595,429,121,38,68,45,7,5,0,0,0]],[46445501,46468724,[604,395,118,35,68,51,11,2,0,0,0]],[46468724,46491959,[613,428,133,37,75,40,12,3,0,1,0]],[46491959,46515205,[634,427,149,38,50,46,3,9,0,0,0]],[46515205,46538463,[602,419,146,28,51,45,3,5,0,0,0]],[46538463,46561733,[604,413,123,36,60,42,6,4,0,1,0]],[46561733,46585014,[623,392,147,42,60,48,10,6,0,0,0]],[46585014,46608307,[603,407,143,45,77,53,5,9,0,1,0]],[46608307,46631612,[644,415,129,30,65,36,8,2,0,0,0]],[46631612,46654928,[584,439,130,33,67,41,8,6,0,0,0]],[46654928,46678256,[617,460,124,37,65,35,7,5,0,0,0]],[46678256,46701596,[611,423,124,32,75,39,8,7,0,0,0]],[46701596,46724947,[582,419,125,45,66,43,12,10,0,0,0]],[46724947,46748310,[609,432,132,33,72,23,6,6,0,1,0]],[46748310,46771685,[626,430,128,31,57,32,13,6,0,1,0]],[46771685,46795071,[615,421,131,39,76,50,5,6,0,0,0]],[46795071,46818469,[611,445,119,35,69,42,8,3,0,4,0]],[46818469,46841879,[614,428,130,38,63,37,6,4,0,2,0]],[46841879,46865300,[609,409,134,31,77,37,7,4,0,1,0]],[46865300,46888733,[612,402,134,42,74,38,9,10,0,1,0]],[46888733,46912178,[634,443,141,35,63,45,7,5,0,3,0]],[46912178,46935635,[627,415,129,37,47,31,4,12,0,0,0]],[46935635,46959103,[601,446,122,36,65,39,4,7,0,1,0]],[46959103,46982583,[602,425,124,40,77,36,6,14,0,0,0]],[46982583,47006075,[598,451,122,41,77,58,10,4,0,1,0]],[47006075,47029579,[593,446,125,35,62,38,6,8,0,0,0]],[47029579,47053094,[597,419,133,29,75,39,7,6,0,1,0]],[47053094,47076621,[580,413,121,39,67,48,9,2,0,1,0]],[47076621,47100160,[614,422,118,53,60,54,5,9,0,0,0]],[47100160,47123711,[622,441,133,38,62,41,5,4,0,0,0]],[47123711,47147273,[608,452,133,32,76,51,6,9,0,0,0]],[47147273,47170847,[615,421,133,35,80,44,7,5,0,1,0]],[47170847,47194433,[621,408,146,44,75,39,8,5,0,2,0]],[47194433,47218031,[639,440,112,31,54,37,12,5,0,1,0]],[47218031,47241641,[603,407,136,45,76,38,3,5,0,1,1]],[47241641,47265262,[636,429,118,30,58,43,3,3,0,0,0]],[47265262,47288895,[615,434,141,40,70,47,8,9,0,0,0]],[47288895,47312540,[648,431,120,38,65,38,7,7,0,0,0]],[47312540,47336197,[602,451,136,38,59,38,9,5,0,0,0]],[47336197,47359866,[633,408,109,29,58,45,6,5,0,1,0]],[47359866,47383546,[597,454,137,45,79,38,5,7,0,2,0]],[47383546,47407238,[613,451,118,40,60,42,10,4,0,0,0]],[47407238,47430942,[643,435,133,26,66,37,3,7,0,2,0]],[47430942,47454658,[574,465,124,37,52,39,7,7,0,1,0]],[47454658,47478386,[602,422,148,50,66,53,6,6,0,1,0]],[47478386,47502126,[612,458,149,51,53,43,6,3,0,0,0]],[47502126,47525878,[604,425,128,40,65,43,9,6,0,2,0]],[47525878,47549641,[612,437,119,54,66,46,8,7,0,1,0]],[47549641,47573416,[635,435,112,38,73,37,9,3,0,0,0]],[47573416,47597203,[627,423,138,40,65,39,8,3,0,1,0]],[47597203,47621002,[613,423,153,34,48,43,10,5,0,0,0]],[47621002,47644813,[606,441,130,35,72,44,11,4,0,0,0]],[47644813,47668636,[605,431,124,27,73,34,8,6,0,2,0]],[47668636,47692471,[643,435,123,35,65,34,6,8,0,3,0]],[47692471,47716318,[630,403,129,40,64,46,13,6,0,1,0]],[47716318,47740177,[621,427,134,46,77,50,7,5,0,1,0]],[47740177,47764048,[642,414,131,26,59,39,7,7,0,1,0]],[47764048,47787931,[648,418,120,42,59,46,4,9,0,1,0]],[47787931,47811825,[628,438,124,44,74,43,2,11,0,0,0]],[47811825,47835731,[611,457,130,35,61,44,5,4,0,1,0]],[47835731,47859649,[630,454,113,50,73,46,3,13,0,2,0]],[47859649,47883579,[654,436,145,30,75,36,9,5,0,1,0]],[47883579,47907521,[592,431,127,36,73,52,10,11,0,0,0]],[47907521,47931475,[605,452,130,41,66,43,4,6,0,0,0]],[47931475,47955441,[607,453,122,33,62,30,11,6,0,1,0]],[47955441,47979419,[641,449,126,32,57,35,7,8,0,1,0]],[47979419,48003409,[574,445,127,50,74,39,9,4,0,2,0]],[48003409,48027411,[641,422,132,43,76,49,11,4,0,1,0]],[48027411,48051425,[628,417,135,42,60,40,6,5,0,2,0]],[48051425,48075451,[617,404,135,28,68,46,7,10,0,1,0]],[48075451,48099489,[634,445,145,31,68,44,12,5,0,2,0]],[48099489,48123539,[613,452,131,37,74,39,10,6,0,1,0]],[48123539,48147601,[601,448,138,38,68,49,9,5,0,0,0]],[48147601,48171675,[615,452,120,45,78,30,5,12,0,0,0]],[48171675,48195761,[620,445,124,44,65,38,3,7,0,0,0]],[48195761,48219859,[609,453,152,31,67,44,5,5,0,0,0]],[48219859,48243969,[572,423,146,50,93,32,8,3,0,2,0]],[48243969,48268091,[642,408,144,39,70,48,5,6,0,0,0]],[48268091,48292226,[609,470,127,37,70,43,8,9,0,1,0]],[48292226,48316373,[649,433,145,36,58,44,10,7,0,1,0]],[48316373,48340532,[630,447,130,29,71,39,8,6,0,1,0]],[48340532,48364703,[628,432,156,36,68,33,4,5,0,0,0]],[48364703,48388886,[625,483,131,24,72,43,5,5,0,1,0]],[48388886,48413081,[627,429,143,40,62,44,2,10,0,1,0]],[48413081,48437288,[560,473,143,31,75,38,10,3,0,1,0]],[48437288,48461507,[615,441,135,28,68,49,10,5,0,1,0]],[48461507,48485738,[597,494,144,42,53,35,8,6,0,1,1]],[48485738,48509981,[650,426,152,48,83,39,9,3,0,0,0]],[48509981,48534236,[624,449,131,34,73,47,5,9,0,1,0]],[48534236,48558504,[644,421,107,50,73,38,3,3,0,2,0]],[48558504,48582784,[625,423,168,30,69,45,7,8,0,1,0]],[48582784,48607076,[630,465,119,47,77,43,5,4,0,2,0]],[48607076,48631380,[663,400,126,44,73,40,7,5,0,1,0]],[48631380,48655696,[641,425,129,30,60,38,8,5,0,2,0]],[48655696,48680024,[631,476,144,37,70,26,7,4,0,3,0]],[48680024,48704365,[618,451,130,40,78,41,4,7,0,1,0]],[48704365,48728718,[634,442,134,36,51,41,6,5,0,0,0]],[48728718,48753083,[588,449,146,38,65,51,8,6,0,0,0]],[48753083,48777460,[627,437,145,34,53,43,11,7,0,2,0]],[48777460,48801849,[634,466,136,35,56,37,12,3,0,1,0]],[48801849,48826250,[681,452,146,26,77,46,11,1,0,0,0]],[48826250,48850664,[627,430,130,45,76,40,6,6,0,1,0]],[48850664,48875090,[603,449,168,35,60,44,14,8,0,2,0]],[48875090,48899528,[619,462,145,38,67,38,6,8,0,0,0]],[48899528,48923978,[643,408,141,42,71,50,9,4,0,1,0]],[48923978,48948440,[674,444,127,33,82,34,10,7,0,1,0]],[48948440,48972915,[609,442,144,32,71,45,10,9,0,0,0]],[48972915,48997402,[641,448,129,47,69,37,9,2,0,0,0]],[48997402,49021901,[633,451,121,44,67,39,10,6,0,0,0]],[49021901,49046412,[623,429,140,43,77,50,7,5,0,1,0]],[49046412,49070936,[619,464,135,38,66,52,9,7,0,3,0]],[49070936,49095472,[615,472,135,41,70,48,5,4,0,0,0]],[49095472,49120020,[632,440,145,43,73,37,8,9,0,1,0]],[49120020,49144581,[625,441,153,40,65,35,9,5,0,1,1]],[49144581,49169154,[610,491,134,34,71,33,5,3,0,1,0]],[49169154,49193739,[646,443,132,46,62,57,10,4,0,2,0]],[49193739,49218336,[669,433,152,45,69,48,6,6,0,2,0]],[49218336,49242946,[608,458,142,38,59,48,4,7,0,0,0]],[49242946,49267568,[631,462,126,39,72,50,10,7,0,3,0]],[49267568,49292202,[635,451,129,42,72,41,8,7,0,2,0]],[49292202,49316849,[589,459,141,50,75,47,10,3,0,2,1]],[49316849,49341508,[641,436,155,41,74,41,7,2,0,1,0]],[49341508,49366179,[694,411,145,35,65,41,6,6,0,2,0]],[49366179,49390863,[637,463,152,49,70,30,5,7,0,0,0]],[49390863,49415559,[650,465,143,30,68,41,7,7,0,0,0]],[49415559,49440267,[652,451,120,53,60,39,10,13,0,0,0]],[49440267,49464988,[636,455,124,41,67,46,9,6,0,1,0]],[49464988,49489721,[694,430,136,34,74,42,14,5,0,1,0]],[49489721,49514466,[645,443,145,49,78,48,6,5,0,1,0]],[49514466,49539224,[661,418,138,42,60,47,4,3,0,1,0]],[49539224,49563994,[661,435,146,29,73,48,13,12,0,0,0]],[49563994,49588776,[663,461,141,39,75,36,5,6,0,1,0]],[49588776,49613571,[714,414,129,40,79,35,8,6,0,1,0]],[49613571,49638378,[615,480,118,40,65,48,6,9,0,2,0]],[49638378,49663198,[656,467,132,35,55,47,5,5,0,1,0]],[49663198,49688030,[611,473,131,31,68,44,9,13,0,5,0]],[49688030,49712875,[641,439,132,37,75,40,11,7,0,2,0]],[49712875,49737732,[644,442,147,44,67,56,7,8,0,0,0]],[49737732,49762601,[643,462,145,35,66,40,10,6,0,2,0]],[49762601,49787483,[661,440,134,35,64,45,12,7,0,0,0]],[49787483,49812377,[667,447,142,51,63,40,7,6,0,0,0]],[49812377,49837284,[629,453,128,30,85,39,5,7,0,2,0]],[49837284,49862203,[619,486,168,34,55,42,10,9,0,0,0]],[49862203,49887135,[642,487,139,39,50,41,9,3,0,0,0]],[49887135,49912079,[638,469,152,47,76,40,12,9,0,0,0]],[49912079,49937036,[643,445,142,40,77,49,4,8,0,0,0]],[49937036,49962005,[606,461,148,38,66,42,8,6,0,2,0]],[49962005,49986987,[667,464,146,30,82,38,14,6,0,2,0]],[49986987,50000000,[326,239,71,16,37,15,2,4,0,0,0]]],\"seconds\":22.234606471000006}\n" }, { "path": "anc/code/1.1.1/data/3723_census_blocks/block_50000000_60000000.json", "size_bytes": 19742, "sha256": "ff93348e3ce6be02d8bddf7413829c97e5b353787b0a1870274b11d2c75b51fd", "mode": 420, "encoding": "utf-8", "text": "{\"lower\":50000000,\"upper\":60000000,\"prime_count\":560981,\"sha256_prime_rootcount_stream\":\"c359b492249fe6a3255036692f3d2de993082b8b5dd76ac470549dc2b4c0a843\",\"bins\":[[50000000,50011981,[293,218,55,19,40,19,3,1,0,1,0]],[50011981,50036987,[638,457,136,33,72,49,11,9,0,1,0]],[50036987,50062006,[630,480,134,39,60,38,4,9,0,0,0]],[50062006,50087038,[642,482,123,46,70,42,7,10,0,1,0]],[50087038,50112082,[651,442,166,41,68,38,5,4,0,1,0]],[50112082,50137139,[661,478,139,44,65,49,7,6,0,1,0]],[50137139,50162208,[617,447,159,28,80,40,10,8,0,1,0]],[50162208,50187290,[644,447,134,34,59,48,9,7,0,3,0]],[50187290,50212384,[670,450,146,29,57,49,8,12,0,2,0]],[50212384,50237491,[650,481,135,33,73,48,7,8,0,0,0]],[50237491,50262610,[629,418,163,39,74,42,6,3,0,0,0]],[50262610,50287742,[654,470,140,33,80,36,8,7,0,0,0]],[50287742,50312886,[683,447,135,47,78,37,8,8,0,0,0]],[50312886,50338043,[672,477,152,37,54,39,6,7,0,0,0]],[50338043,50363213,[612,446,131,39,87,47,13,9,0,3,1]],[50363213,50388395,[621,455,148,51,72,46,11,8,0,0,0]],[50388395,50413590,[639,464,133,39,81,33,3,5,0,0,0]],[50413590,50438797,[700,450,130,29,78,45,4,4,0,0,0]],[50438797,50464017,[667,455,136,42,68,41,7,9,0,3,0]],[50464017,50489250,[670,467,121,34,72,41,8,4,0,0,0]],[50489250,50514495,[689,471,117,30,62,51,8,12,0,2,0]],[50514495,50539753,[661,475,137,37,53,55,3,4,0,1,0]],[50539753,50565023,[702,448,139,40,80,40,4,5,0,0,0]],[50565023,50590306,[654,455,146,37,74,35,7,8,0,2,0]],[50590306,50615602,[652,454,160,37,57,47,7,7,0,1,0]],[50615602,50640910,[672,468,121,32,75,49,8,7,0,0,0]],[50640910,50666231,[651,452,122,45,81,40,4,7,0,4,1]],[50666231,50691565,[634,471,151,39,83,42,5,4,0,0,0]],[50691565,50716911,[694,445,121,31,65,51,5,3,0,0,0]],[50716911,50742270,[683,446,138,47,76,37,12,2,0,2,0]],[50742270,50767642,[669,478,160,50,54,40,6,8,0,1,0]],[50767642,50793026,[701,411,132,47,70,53,9,9,0,0,0]],[50793026,50818423,[643,455,150,50,61,35,7,7,0,2,0]],[50818423,50843833,[699,453,158,39,67,33,9,7,0,2,0]],[50843833,50869255,[672,483,134,34,63,52,8,7,0,0,0]],[50869255,50894690,[632,456,126,47,73,37,8,7,0,2,0]],[50894690,50920138,[681,445,153,49,55,42,4,7,0,1,0]],[50920138,50945599,[623,456,160,42,62,50,9,7,0,0,0]],[50945599,50971072,[638,492,140,40,65,31,7,7,0,0,0]],[50971072,50996558,[699,474,131,36,68,35,5,6,0,1,0]],[50996558,51022057,[628,473,132,47,66,44,9,3,0,2,0]],[51022057,51047569,[669,438,136,52,64,55,10,4,0,1,0]],[51047569,51073093,[665,426,154,39,69,45,9,7,0,2,0]],[51073093,51098630,[660,479,151,33,68,40,5,6,0,1,0]],[51098630,51124180,[657,476,159,52,65,59,8,9,0,0,0]],[51124180,51149743,[664,421,133,43,82,41,7,10,0,3,0]],[51149743,51175318,[665,431,156,39,68,47,8,3,0,1,0]],[51175318,51200906,[676,471,140,38,77,43,8,6,0,1,0]],[51200906,51226507,[638,460,146,31,78,39,5,9,0,2,0]],[51226507,51252121,[664,461,155,56,80,46,9,2,0,1,0]],[51252121,51277748,[657,445,158,41,88,53,7,7,0,1,0]],[51277748,51303387,[672,442,129,42,62,51,7,3,0,3,0]],[51303387,51329039,[645,496,152,43,71,44,8,8,0,0,0]],[51329039,51354704,[664,470,141,47,51,49,10,5,0,1,0]],[51354704,51380382,[694,452,155,39,82,46,10,11,0,1,0]],[51380382,51406073,[665,497,135,51,63,44,5,4,0,1,0]],[51406073,51431777,[656,480,142,39,75,64,7,4,0,1,0]],[51431777,51457493,[633,467,130,39,61,62,7,6,0,1,0]],[51457493,51483222,[636,444,144,56,80,41,3,3,0,0,0]],[51483222,51508964,[658,486,148,46,82,45,4,9,0,2,0]],[51508964,51534719,[674,450,151,34,86,64,9,5,0,1,0]],[51534719,51560487,[643,446,166,37,75,40,12,4,0,2,0]],[51560487,51586268,[685,476,164,39,77,45,10,6,0,0,0]],[51586268,51612062,[677,498,123,29,78,34,8,9,0,1,0]],[51612062,51637869,[649,469,131,37,74,43,8,5,0,1,0]],[51637869,51663688,[631,468,152,45,83,49,9,6,0,1,0]],[51663688,51689520,[652,457,140,38,69,45,11,8,0,3,0]],[51689520,51715365,[680,494,131,35,72,43,5,2,0,0,0]],[51715365,51741223,[678,464,149,41,73,49,11,6,0,3,0]],[51741223,51767094,[696,450,139,47,70,46,10,5,0,2,0]],[51767094,51792978,[645,510,133,52,75,43,6,6,0,0,0]],[51792978,51818875,[717,469,145,35,62,48,8,9,0,1,0]],[51818875,51844785,[684,489,130,43,83,47,9,7,0,2,0]],[51844785,51870708,[663,450,155,34,68,45,4,5,0,1,0]],[51870708,51896644,[665,471,163,49,60,51,8,4,0,0,0]],[51896644,51922593,[685,462,143,34,70,44,13,6,0,0,0]],[51922593,51948555,[646,455,163,45,82,48,3,8,0,1,0]],[51948555,51974530,[684,477,144,32,75,50,7,7,0,1,0]],[51974530,52000518,[645,489,141,52,76,37,3,10,0,2,0]],[52000518,52026519,[666,456,144,34,83,47,8,11,0,0,0]],[52026519,52052533,[659,490,129,33,88,60,11,7,0,0,0]],[52052533,52078560,[652,515,163,46,66,47,7,4,0,1,0]],[52078560,52104600,[656,481,141,41,70,49,7,6,0,1,0]],[52104600,52130653,[674,464,147,44,65,43,8,5,0,1,0]],[52130653,52156719,[682,458,146,45,73,50,4,6,0,1,0]],[52156719,52182798,[659,491,125,38,70,56,4,7,0,1,0]],[52182798,52208890,[687,452,150,37,70,53,8,8,0,1,0]],[52208890,52234995,[659,516,157,32,57,37,5,8,0,0,0]],[52234995,52261113,[660,500,126,41,69,41,7,7,0,0,0]],[52261113,52287244,[646,466,139,41,81,47,11,4,0,2,0]],[52287244,52313388,[695,438,154,35,68,54,10,5,0,3,0]],[52313388,52339545,[641,486,154,43,79,53,6,7,0,2,0]],[52339545,52365715,[669,492,185,38,62,44,7,10,0,2,0]],[52365715,52391898,[667,480,158,37,81,52,12,1,0,2,0]],[52391898,52418094,[712,451,150,40,61,41,9,6,0,2,0]],[52418094,52444304,[672,485,130,43,73,43,3,8,0,0,0]],[52444304,52470527,[694,455,119,47,81,46,10,7,0,0,0]],[52470527,52496763,[671,488,144,51,88,35,6,9,0,1,0]],[52496763,52523012,[647,478,148,40,71,43,9,6,0,2,0]],[52523012,52549274,[675,491,142,35,73,47,6,10,0,0,0]],[52549274,52575549,[663,505,138,31,74,46,5,8,0,2,0]],[52575549,52601837,[708,466,141,37,69,49,8,5,0,0,0]],[52601837,52628138,[709,457,142,48,73,44,9,10,0,2,0]],[52628138,52654453,[677,503,147,35,72,45,12,3,0,1,0]],[52654453,52680781,[654,488,148,35,80,48,7,8,0,0,0]],[52680781,52707122,[663,479,157,43,70,49,9,3,0,1,0]],[52707122,52733476,[690,479,145,50,57,55,6,7,0,1,0]],[52733476,52759843,[680,494,140,34,64,36,7,7,0,2,0]],[52759843,52786223,[721,483,143,43,77,49,6,6,0,0,0]],[52786223,52812617,[692,476,137,29,74,48,5,10,0,0,0]],[52812617,52839024,[682,460,137,46,89,58,5,9,0,0,0]],[52839024,52865444,[665,505,146,38,80,42,5,8,0,1,0]],[52865444,52891877,[660,513,144,38,73,43,7,6,0,2,0]],[52891877,52918323,[690,479,144,38,80,43,10,9,0,0,0]],[52918323,52944783,[665,474,153,34,74,59,6,5,0,0,0]],[52944783,52971256,[672,465,158,45,68,46,7,8,0,1,0]],[52971256,52997742,[701,503,139,43,73,47,5,5,0,1,0]],[52997742,53024241,[678,478,142,42,66,47,5,9,0,1,0]],[53024241,53050754,[709,500,139,33,67,45,13,4,0,0,0]],[53050754,53077280,[651,484,156,37,96,51,9,8,0,0,0]],[53077280,53103819,[700,490,145,28,76,44,11,6,0,1,0]],[53103819,53130371,[684,463,142,38,66,58,9,10,0,0,0]],[53130371,53156937,[672,499,162,37,88,60,7,12,0,0,0]],[53156937,53183516,[660,499,150,49,72,50,7,8,0,0,0]],[53183516,53210108,[670,481,135,28,73,50,5,5,0,1,0]],[53210108,53236714,[688,465,186,39,64,52,10,7,0,4,0]],[53236714,53263333,[664,513,146,46,76,44,9,8,0,1,1]],[53263333,53289965,[694,482,164,49,72,39,5,7,0,0,0]],[53289965,53316610,[705,486,151,62,57,45,3,6,0,1,0]],[53316610,53343269,[700,477,164,40,59,53,7,5,0,2,0]],[53343269,53369941,[693,474,138,44,74,52,4,5,0,0,0]],[53369941,53396626,[667,483,161,41,64,34,7,9,0,0,0]],[53396626,53423325,[679,515,132,45,71,47,10,5,0,1,0]],[53423325,53450037,[685,494,141,55,66,45,8,5,0,2,0]],[53450037,53476763,[679,480,159,44,61,44,5,7,0,0,0]],[53476763,53503502,[671,477,167,30,74,48,7,4,0,2,0]],[53503502,53530254,[696,476,155,38,74,40,9,7,0,0,0]],[53530254,53557020,[674,486,136,39,87,59,7,4,0,3,0]],[53557020,53583799,[684,467,158,46,67,42,5,3,0,0,0]],[53583799,53610591,[695,506,145,48,60,38,10,8,0,1,0]],[53610591,53637397,[686,468,137,36,68,56,9,6,0,1,0]],[53637397,53664216,[671,550,152,40,89,44,10,5,0,1,0]],[53664216,53691049,[672,514,149,36,70,43,6,9,0,1,0]],[53691049,53717895,[666,523,134,48,76,44,7,4,0,1,0]],[53717895,53744754,[723,478,153,38,69,58,5,6,0,2,0]],[53744754,53771627,[678,467,173,55,69,49,4,9,0,0,0]],[53771627,53798513,[653,505,137,50,78,53,12,6,0,0,0]],[53798513,53825413,[696,458,171,51,71,45,3,5,0,0,0]],[53825413,53852326,[684,476,167,42,63,49,6,4,0,1,0]],[53852326,53879253,[687,515,149,33,64,44,8,9,0,0,0]],[53879253,53906193,[745,479,158,39,72,47,7,10,0,1,0]],[53906193,53933147,[670,485,183,38,66,48,9,7,0,0,0]],[53933147,53960114,[689,502,144,45,68,52,6,9,0,0,0]],[53960114,53987095,[717,481,152,50,81,54,8,5,0,1,0]],[53987095,54014089,[673,507,144,39,78,44,6,5,0,1,0]],[54014089,54041097,[692,508,129,51,81,48,8,8,0,1,0]],[54041097,54068118,[699,459,156,51,62,51,7,8,0,2,0]],[54068118,54095153,[684,532,165,35,67,50,11,6,0,0,0]],[54095153,54122201,[680,504,141,37,79,51,7,8,0,0,0]],[54122201,54149263,[673,506,160,47,85,39,10,4,0,2,0]],[54149263,54176338,[655,501,143,36,81,48,7,4,0,2,1]],[54176338,54203427,[719,484,158,38,59,38,9,10,0,1,0]],[54203427,54230529,[682,464,153,46,72,51,10,6,0,1,0]],[54230529,54257645,[715,438,166,42,82,57,5,8,0,0,0]],[54257645,54284774,[714,480,162,52,73,44,3,4,0,3,0]],[54284774,54311917,[650,504,164,44,85,42,12,6,0,2,0]],[54311917,54339073,[709,514,149,50,87,54,6,10,0,3,0]],[54339073,54366243,[708,471,142,45,76,37,3,10,0,0,0]],[54366243,54393427,[668,464,173,45,62,46,11,8,0,2,1]],[54393427,54420624,[693,488,163,45,63,48,6,9,0,0,0]],[54420624,54447835,[705,516,142,37,83,45,8,6,0,2,0]],[54447835,54475059,[681,501,140,40,73,55,8,6,0,0,0]],[54475059,54502297,[686,477,178,20,79,53,8,10,0,0,0]],[54502297,54529549,[730,475,160,55,85,52,7,7,0,1,0]],[54529549,54556814,[720,469,166,48,80,41,6,7,0,0,0]],[54556814,54584093,[738,496,128,25,64,46,5,8,0,2,0]],[54584093,54611386,[688,528,159,45,82,36,8,5,0,0,0]],[54611386,54638692,[705,511,174,44,68,57,11,8,0,0,0]],[54638692,54666012,[688,505,163,41,82,45,9,7,0,1,0]],[54666012,54693346,[681,522,133,40,78,42,8,7,0,1,0]],[54693346,54720693,[704,498,156,30,63,41,7,4,0,0,0]],[54720693,54748054,[703,508,147,54,59,46,10,8,0,0,0]],[54748054,54775429,[728,461,167,48,69,52,10,7,0,0,0]],[54775429,54802817,[730,505,129,41,71,50,3,8,0,0,0]],[54802817,54830219,[684,497,168,39,80,35,5,11,0,0,0]],[54830219,54857635,[693,490,163,50,72,41,9,8,0,1,0]],[54857635,54885064,[660,498,151,37,81,36,9,9,0,3,0]],[54885064,54912507,[690,511,156,49,72,48,10,6,0,1,0]],[54912507,54939964,[716,470,168,41,63,41,10,5,0,1,0]],[54939964,54967434,[719,503,192,32,83,52,8,4,0,2,0]],[54967434,54994918,[713,486,150,43,96,39,10,9,0,0,0]],[54994918,55022416,[694,520,161,51,80,45,5,6,0,1,0]],[55022416,55049928,[706,508,145,45,81,49,5,11,0,1,0]],[55049928,55077453,[737,483,168,48,85,46,7,4,0,1,0]],[55077453,55104992,[709,513,153,46,86,50,8,6,0,2,0]],[55104992,55132545,[679,521,150,34,71,47,6,5,0,0,0]],[55132545,55160112,[736,475,158,39,68,60,8,7,0,1,1]],[55160112,55187693,[682,506,167,48,65,47,4,12,0,1,0]],[55187693,55215287,[694,530,155,38,67,43,7,6,0,2,0]],[55215287,55242895,[725,492,165,40,80,54,11,6,0,1,0]],[55242895,55270517,[670,516,167,38,77,43,9,7,0,1,0]],[55270517,55298153,[715,453,167,32,81,51,8,11,0,0,0]],[55298153,55325803,[732,490,178,48,68,58,8,8,0,1,0]],[55325803,55353466,[669,536,155,39,74,37,7,12,0,2,0]],[55353466,55381143,[734,465,167,43,67,55,6,4,0,0,0]],[55381143,55408834,[720,502,154,48,77,41,10,5,0,0,0]],[55408834,55436539,[741,510,158,35,78,50,7,5,0,1,0]],[55436539,55464258,[724,485,147,34,80,46,12,2,0,1,0]],[55464258,55491991,[736,505,137,40,75,52,9,3,0,2,0]],[55491991,55519737,[674,527,142,41,86,50,9,4,0,1,0]],[55519737,55547497,[720,491,140,39,74,51,13,5,0,0,1]],[55547497,55575271,[711,500,151,46,84,47,6,11,0,1,0]],[55575271,55603059,[743,489,123,51,73,50,6,8,0,2,0]],[55603059,55630861,[697,499,161,52,86,56,13,16,0,0,0]],[55630861,55658677,[714,508,150,46,86,45,6,3,0,0,0]],[55658677,55686507,[755,500,147,44,84,43,10,5,0,1,0]],[55686507,55714351,[741,491,162,66,70,47,2,4,0,1,0]],[55714351,55742209,[710,512,165,48,70,57,7,9,0,0,0]],[55742209,55770081,[695,535,165,47,81,46,14,11,0,0,1]],[55770081,55797967,[707,491,160,43,69,48,8,2,0,3,0]],[55797967,55825866,[698,533,160,45,88,54,5,11,0,0,0]],[55825866,55853779,[690,512,157,56,73,44,8,12,0,1,0]],[55853779,55881706,[730,455,180,53,59,53,9,9,0,1,0]],[55881706,55909647,[695,492,155,49,79,61,14,6,0,0,0]],[55909647,55937602,[693,527,161,40,74,37,9,7,0,2,0]],[55937602,55965571,[750,467,168,36,78,40,3,11,0,2,0]],[55965571,55993554,[731,506,163,37,91,55,15,4,0,1,0]],[55993554,56021551,[709,485,160,52,93,50,10,11,0,0,0]],[56021551,56049562,[696,532,142,40,85,40,9,7,0,1,0]],[56049562,56077587,[748,506,160,53,69,62,4,7,0,2,0]],[56077587,56105626,[743,539,150,31,70,46,8,5,0,0,0]],[56105626,56133679,[693,528,174,48,67,54,5,9,0,1,0]],[56133679,56161746,[736,519,151,44,69,54,9,13,0,1,0]],[56161746,56189827,[778,510,143,40,73,59,9,6,0,3,0]],[56189827,56217922,[712,516,151,38,75,45,8,4,0,1,0]],[56217922,56246031,[679,547,158,41,79,48,4,8,0,0,0]],[56246031,56274155,[744,499,162,42,73,49,6,2,0,1,0]],[56274155,56302293,[710,532,159,33,79,46,6,9,0,0,0]],[56302293,56330445,[733,492,156,57,57,38,7,5,0,2,1]],[56330445,56358611,[712,523,167,54,73,45,7,11,0,1,0]],[56358611,56386791,[710,501,164,40,90,45,8,9,0,0,0]],[56386791,56414985,[701,478,166,47,88,49,9,10,0,0,0]],[56414985,56443193,[673,530,144,47,90,49,10,6,0,1,0]],[56443193,56471415,[733,500,156,44,75,47,7,7,0,1,0]],[56471415,56499651,[734,523,151,43,74,51,6,9,0,2,0]],[56499651,56527901,[701,509,140,40,101,48,10,16,0,1,0]],[56527901,56556165,[705,533,152,40,81,48,4,12,0,1,0]],[56556165,56584444,[734,514,151,32,85,52,15,11,0,3,0]],[56584444,56612737,[744,525,148,43,98,53,10,10,0,0,0]],[56612737,56641044,[719,521,137,36,78,47,11,7,0,1,0]],[56641044,56669365,[786,497,152,46,57,52,9,5,0,2,0]],[56669365,56697700,[756,545,153,51,80,41,10,8,0,1,0]],[56697700,56726049,[720,495,168,49,93,70,7,7,0,0,0]],[56726049,56754413,[739,498,155,45,74,57,3,6,0,0,0]],[56754413,56782791,[745,520,169,30,83,49,13,8,0,0,0]],[56782791,56811183,[735,513,174,42,70,50,8,8,0,2,0]],[56811183,56839589,[721,540,156,40,71,54,10,4,0,1,0]],[56839589,56868009,[705,485,160,47,84,56,6,3,0,1,0]],[56868009,56896444,[715,533,171,32,91,41,12,7,0,1,0]],[56896444,56924893,[724,521,154,45,91,49,8,5,0,0,0]],[56924893,56953356,[771,493,165,50,73,46,4,11,0,2,0]],[56953356,56981833,[767,465,141,36,67,51,7,7,0,0,0]],[56981833,57010324,[774,510,144,40,85,50,9,10,0,3,0]],[57010324,57038830,[731,476,161,50,88,54,11,2,0,2,0]],[57038830,57067350,[720,508,170,51,73,52,10,6,0,1,0]],[57067350,57095884,[776,510,147,47,68,62,9,6,0,1,0]],[57095884,57124432,[742,507,168,48,80,48,12,5,0,1,0]],[57124432,57152995,[754,487,138,53,84,46,11,13,0,0,0]],[57152995,57181572,[726,549,152,50,65,40,11,3,0,1,0]],[57181572,57210163,[756,515,136,33,73,64,8,6,0,0,0]],[57210163,57238769,[750,503,163,40,69,57,8,6,0,0,0]],[57238769,57267389,[787,467,178,44,82,48,6,6,0,1,0]],[57267389,57296023,[765,520,148,53,84,50,7,10,0,1,0]],[57296023,57324672,[724,549,155,42,85,51,10,8,0,0,0]],[57324672,57353335,[749,541,167,41,81,50,5,6,0,1,0]],[57353335,57382012,[758,471,159,43,82,52,6,7,0,2,0]],[57382012,57410704,[745,531,179,36,64,54,7,5,0,1,0]],[57410704,57439410,[779,483,148,34,74,53,5,6,0,3,0]],[57439410,57468130,[697,517,167,40,74,66,6,9,0,0,0]],[57468130,57496865,[777,481,157,44,74,52,6,9,0,0,0]],[57496865,57525614,[724,554,153,44,73,48,10,7,0,1,0]],[57525614,57554377,[749,525,171,35,73,54,6,11,0,2,0]],[57554377,57583155,[757,506,145,48,100,48,13,9,0,0,0]],[57583155,57611947,[752,481,161,52,77,49,4,4,0,1,0]],[57611947,57640753,[725,533,170,40,65,42,12,11,0,1,0]],[57640753,57669574,[730,526,158,52,82,61,8,6,0,1,1]],[57669574,57698409,[759,502,159,41,61,49,10,5,0,0,0]],[57698409,57727259,[729,523,162,41,82,48,10,7,0,3,0]],[57727259,57756123,[743,518,151,44,83,60,5,6,0,0,0]],[57756123,57785002,[716,541,153,45,92,51,4,9,0,0,0]],[57785002,57813895,[706,543,177,45,74,45,9,7,0,2,0]],[57813895,57842802,[763,503,147,45,89,50,6,5,0,0,0]],[57842802,57871724,[717,526,177,49,85,42,7,6,0,5,0]],[57871724,57900660,[773,513,163,40,75,47,9,6,0,1,1]],[57900660,57929611,[697,537,179,51,82,50,8,8,0,0,0]],[57929611,57958576,[724,526,176,47,98,45,2,5,0,0,0]],[57958576,57987556,[739,496,172,53,73,46,6,12,0,0,0]],[57987556,58016550,[759,484,174,48,81,42,9,8,0,2,0]],[58016550,58045559,[791,508,153,38,79,45,7,11,0,0,0]],[58045559,58074582,[740,553,161,37,93,47,6,11,0,0,0]],[58074582,58103620,[779,512,146,47,82,54,3,12,0,1,0]],[58103620,58132672,[750,528,143,27,92,37,8,8,0,1,0]],[58132672,58161739,[781,528,167,38,71,51,9,11,0,1,0]],[58161739,58190820,[746,505,158,42,73,48,13,6,0,0,0]],[58190820,58219916,[773,516,157,44,79,53,6,7,0,0,0]],[58219916,58249026,[758,524,161,55,69,50,5,6,0,0,0]],[58249026,58278151,[757,519,178,49,88,50,9,9,0,0,0]],[58278151,58307291,[729,529,119,46,77,50,15,7,0,0,0]],[58307291,58336445,[778,524,161,45,84,46,12,9,0,0,0]],[58336445,58365614,[793,526,155,53,70,50,10,8,0,2,0]],[58365614,58394797,[739,512,168,56,77,49,8,7,0,0,0]],[58394797,58423995,[711,517,183,52,91,47,9,9,0,1,0]],[58423995,58453207,[741,538,153,34,80,49,7,2,0,1,0]],[58453207,58482434,[721,514,186,60,78,55,7,8,0,2,0]],[58482434,58511676,[763,545,137,47,96,63,7,4,0,1,0]],[58511676,58540932,[717,544,151,53,78,56,6,10,0,0,0]],[58540932,58570203,[756,568,157,50,84,60,9,8,0,0,0]],[58570203,58599489,[753,531,147,35,92,57,11,7,0,1,0]],[58599489,58628789,[729,567,152,43,90,47,4,10,0,1,0]],[58628789,58658104,[757,546,156,39,78,55,8,3,0,0,0]],[58658104,58687434,[744,544,145,48,81,44,8,12,0,1,0]],[58687434,58716778,[746,523,173,50,82,43,4,10,0,1,0]],[58716778,58746137,[773,546,160,40,67,57,7,3,0,1,0]],[58746137,58775511,[770,520,146,50,85,56,9,5,0,2,0]],[58775511,58804899,[779,560,150,46,75,50,7,8,0,1,0]],[58804899,58834302,[782,547,174,37,88,49,6,11,0,4,0]],[58834302,58863720,[722,538,170,32,75,63,10,9,0,0,0]],[58863720,58893152,[746,531,182,50,67,69,7,3,0,0,0]],[58893152,58922599,[746,558,153,47,79,58,6,8,0,0,0]],[58922599,58952061,[744,506,180,47,73,49,5,8,0,1,0]],[58952061,58981538,[740,534,162,48,74,47,7,9,0,1,0]],[58981538,59011029,[786,517,159,45,59,44,9,6,0,2,0]],[59011029,59040535,[771,545,176,40,84,54,6,8,0,3,0]],[59040535,59070056,[751,520,149,53,78,44,9,8,0,1,0]],[59070056,59099592,[727,567,159,41,95,52,17,8,0,2,0]],[59099592,59129142,[755,519,176,44,76,62,9,10,0,0,0]],[59129142,59158707,[736,522,151,42,92,44,12,3,0,1,0]],[59158707,59188287,[780,575,157,35,71,51,11,6,0,0,0]],[59188287,59217882,[750,534,155,42,84,53,8,6,0,1,0]],[59217882,59247491,[738,515,181,40,81,51,7,12,0,2,0]],[59247491,59277115,[746,550,153,45,70,51,7,12,0,3,0]],[59277115,59306754,[782,543,150,41,87,53,6,6,0,1,0]],[59306754,59336408,[747,547,179,48,71,57,11,8,0,2,0]],[59336408,59366077,[755,517,172,39,83,52,10,8,0,1,0]],[59366077,59395761,[767,538,156,42,75,32,6,8,0,1,0]],[59395761,59425459,[796,526,167,44,84,44,7,5,0,1,0]],[59425459,59455172,[728,563,182,41,78,52,9,9,0,1,0]],[59455172,59484900,[757,528,170,45,85,56,8,11,0,0,0]],[59484900,59514643,[764,540,162,40,78,57,9,9,0,2,0]],[59514643,59544401,[773,528,156,55,86,69,5,5,0,0,0]],[59544401,59574174,[727,546,162,48,82,48,10,9,0,3,0]],[59574174,59603962,[784,532,163,47,85,59,4,10,0,0,0]],[59603962,59633764,[761,576,179,45,70,46,10,9,0,2,0]],[59633764,59663581,[769,533,152,36,75,61,8,5,0,0,0]],[59663581,59693413,[768,519,179,33,83,61,5,9,0,1,0]],[59693413,59723260,[760,542,171,44,85,59,3,7,0,4,0]],[59723260,59753122,[769,530,137,58,89,46,7,10,0,1,0]],[59753122,59782999,[761,548,178,49,77,62,7,10,0,0,0]],[59782999,59812891,[759,526,174,58,78,59,10,8,0,1,0]],[59812891,59842798,[794,561,155,52,71,44,9,11,0,0,0]],[59842798,59872720,[752,538,168,42,87,67,11,11,0,1,0]],[59872720,59902657,[748,540,165,38,86,48,9,13,0,3,0]],[59902657,59932609,[782,517,170,41,62,67,10,8,0,1,0]],[59932609,59962576,[754,529,186,48,91,48,10,9,0,2,0]],[59962576,59992558,[755,536,166,28,78,55,13,5,0,0,0]],[59992558,60000000,[209,149,44,18,14,14,5,0,0,0,0]]],\"seconds\":23.242704295000294}\n" }, { "path": "anc/code/1.1.1/data/3723_census_blocks/block_60000000_70000000.json", "size_bytes": 16879, "sha256": "a5de5a756321b2642ee270c6793874a04ea5281afd413fb1d53c545c01f4f141", "mode": 420, "encoding": "utf-8", "text": "{\"lower\":60000000,\"upper\":70000000,\"prime_count\":555949,\"sha256_prime_rootcount_stream\":\"b21ac502b6e32751527e3f81dd3c2d7dc41162c1400b9f116b2c7cd8d621e008\",\"bins\":[[60000000,60022555,[577,412,120,37,51,51,6,4,0,1,0]],[60022555,60052567,[782,534,159,50,76,43,7,3,0,0,0]],[60052567,60082594,[780,560,138,35,98,53,10,9,0,2,0]],[60082594,60112636,[793,482,162,57,85,44,9,12,0,0,0]],[60112636,60142693,[718,588,168,47,80,59,3,11,0,1,0]],[60142693,60172765,[770,571,171,44,88,46,9,7,0,3,0]],[60172765,60202852,[783,496,166,32,91,57,7,9,0,1,0]],[60202852,60232954,[781,532,195,47,100,57,8,8,0,2,0]],[60232954,60263071,[810,531,152,42,81,45,6,11,0,2,0]],[60263071,60293203,[767,524,171,37,85,51,6,9,0,0,0]],[60293203,60323350,[759,571,172,52,99,42,7,16,0,2,0]],[60323350,60353512,[772,529,180,44,67,47,13,8,0,2,0]],[60353512,60383689,[788,576,176,35,70,50,6,8,0,0,0]],[60383689,60413881,[778,558,174,49,93,57,6,7,0,1,0]],[60413881,60444088,[740,553,165,39,85,52,17,9,0,0,0]],[60444088,60474311,[794,526,150,45,85,55,12,12,0,1,0]],[60474311,60504549,[780,564,164,34,76,59,9,10,0,3,0]],[60504549,60534802,[767,552,154,40,85,58,6,8,0,1,0]],[60534802,60565070,[745,545,155,50,94,62,9,13,0,2,0]],[60565070,60595353,[772,571,153,45,71,58,14,7,0,1,0]],[60595353,60625651,[820,560,141,47,92,55,7,10,0,1,0]],[60625651,60655964,[779,540,171,35,104,54,6,5,0,2,0]],[60655964,60686292,[794,568,157,46,88,40,8,4,0,0,0]],[60686292,60716636,[777,545,167,41,82,44,10,8,0,1,0]],[60716636,60746995,[787,562,163,52,86,54,5,6,0,2,0]],[60746995,60777369,[800,544,168,39,79,47,11,8,0,1,0]],[60777369,60807758,[760,575,186,40,68,48,12,10,0,1,1]],[60807758,60838162,[791,558,172,48,86,57,7,10,0,1,0]],[60838162,60868582,[765,559,178,56,87,51,6,7,0,2,0]],[60868582,60899017,[771,520,182,43,87,66,9,6,0,1,0]],[60899017,60929467,[765,568,167,53,89,42,12,10,0,2,0]],[60929467,60959932,[783,515,180,58,74,63,8,6,0,0,0]],[60959932,60990412,[768,542,179,52,86,59,15,9,0,0,0]],[60990412,61020908,[750,587,168,36,104,54,9,6,0,1,0]],[61020908,61051419,[787,561,174,35,84,43,6,10,0,0,0]],[61051419,61081945,[777,520,172,51,97,52,11,10,0,1,0]],[61081945,61112486,[776,550,151,45,71,70,5,4,0,0,0]],[61112486,61143043,[776,538,177,54,86,52,12,9,0,0,0]],[61143043,61173615,[745,514,180,52,97,56,9,6,0,1,0]],[61173615,61204202,[807,550,159,47,83,52,6,6,0,0,0]],[61204202,61234805,[757,570,178,44,84,50,8,11,0,0,0]],[61234805,61265423,[776,524,185,58,87,54,10,8,0,1,0]],[61265423,61296056,[732,567,182,39,101,51,14,9,0,3,0]],[61296056,61326705,[791,518,162,48,92,44,8,10,0,2,0]],[61326705,61357369,[785,511,178,57,87,55,12,7,0,2,0]],[61357369,61388048,[839,487,177,58,92,54,6,9,0,1,0]],[61388048,61418743,[792,521,159,46,83,53,14,7,0,2,0]],[61418743,61449453,[770,587,176,53,87,44,10,12,0,0,0]],[61449453,61480178,[803,531,189,54,86,49,11,8,0,1,0]],[61480178,61510919,[776,546,174,51,71,56,7,5,0,1,0]],[61510919,61541675,[781,532,181,53,97,62,8,12,0,1,0]],[61541675,61572446,[747,569,181,49,73,66,6,2,0,1,0]],[61572446,61603233,[802,541,158,40,76,48,14,4,0,3,0]],[61603233,61634035,[778,574,173,47,90,51,8,4,0,0,0]],[61634035,61664853,[799,561,160,50,83,45,11,10,0,0,0]],[61664853,61695686,[786,563,174,40,64,58,10,12,0,1,0]],[61695686,61726534,[801,534,173,38,92,59,7,11,0,1,0]],[61726534,61757398,[795,563,175,50,80,70,12,7,0,0,0]],[61757398,61788277,[764,562,176,45,77,48,8,10,0,1,0]],[61788277,61819172,[765,540,197,55,86,50,12,8,0,0,0]],[61819172,61850082,[791,567,163,51,97,63,7,4,0,1,0]],[61850082,61881008,[791,587,152,49,96,52,7,8,0,1,0]],[61881008,61911949,[777,557,164,50,75,51,6,5,0,1,0]],[61911949,61942905,[819,545,186,49,82,62,8,5,0,2,0]],[61942905,61973877,[788,578,161,51,79,59,8,9,0,2,0]],[61973877,62004864,[806,529,185,50,72,55,7,11,0,1,0]],[62004864,62035867,[858,530,184,41,71,41,7,2,0,1,0]],[62035867,62066885,[771,581,168,45,82,52,5,8,0,2,0]],[62066885,62097919,[801,560,171,53,89,58,11,5,0,4,0]],[62097919,62128968,[812,582,170,50,75,55,4,8,0,0,0]],[62128968,62160033,[832,540,169,38,79,55,11,6,0,1,0]],[62160033,62191114,[781,531,169,62,96,42,10,14,0,1,0]],[62191114,62222210,[787,542,171,52,102,57,8,7,0,0,0]],[62222210,62253322,[814,548,166,46,65,63,13,12,0,0,1]],[62253322,62284449,[796,560,163,48,84,55,11,7,0,1,0]],[62284449,62315592,[826,551,188,52,93,40,10,1,0,3,0]],[62315592,62346750,[818,591,165,51,87,54,16,5,0,0,0]],[62346750,62377924,[786,546,173,42,83,41,15,9,0,0,0]],[62377924,62409113,[768,571,163,39,111,57,5,8,0,1,1]],[62409113,62440318,[775,586,188,55,90,53,10,4,0,1,0]],[62440318,62471539,[760,579,163,46,103,60,8,9,0,1,0]],[62471539,62502775,[766,591,179,49,90,43,8,10,0,2,0]],[62502775,62534027,[769,581,168,50,92,61,10,9,0,2,0]],[62534027,62565295,[798,518,173,46,62,80,5,9,0,2,1]],[62565295,62596578,[800,523,158,55,105,54,13,9,0,0,0]],[62596578,62627877,[788,548,198,55,81,51,11,11,0,3,0]],[62627877,62659191,[798,542,176,42,92,66,8,10,0,0,0]],[62659191,62690521,[782,561,182,54,85,64,5,9,0,1,0]],[62690521,62721867,[791,607,182,44,82,39,7,8,0,0,0]],[62721867,62753228,[803,565,190,44,81,53,10,8,0,1,0]],[62753228,62784605,[819,592,190,38,70,51,9,8,0,3,0]],[62784605,62815998,[824,539,173,44,93,54,13,8,0,1,0]],[62815998,62847406,[799,561,172,40,95,55,14,11,0,0,0]],[62847406,62878830,[823,551,174,44,75,52,8,12,0,0,0]],[62878830,62910270,[782,585,189,57,78,58,10,9,0,2,0]],[62910270,62941726,[788,553,184,50,91,62,3,8,0,0,0]],[62941726,62973197,[785,590,163,50,86,61,14,9,0,2,0]],[62973197,63004684,[849,486,191,45,85,61,11,8,0,0,0]],[63004684,63036187,[805,580,178,41,78,56,10,4,0,1,0]],[63036187,63067706,[799,556,170,58,94,50,10,6,0,1,0]],[63067706,63099240,[809,574,177,54,92,45,12,8,0,1,0]],[63099240,63130790,[800,573,172,32,92,42,14,16,0,2,0]],[63130790,63162356,[810,545,179,53,84,53,4,6,0,2,0]],[63162356,63193938,[825,564,180,48,81,52,17,7,0,2,0]],[63193938,63225535,[816,541,178,63,102,56,12,8,0,1,0]],[63225535,63257148,[805,575,172,49,94,51,7,7,0,2,0]],[63257148,63288777,[827,588,157,57,81,48,7,11,0,3,0]],[63288777,63320422,[785,565,157,49,90,61,9,9,0,0,0]],[63320422,63352083,[772,570,194,40,85,49,10,15,0,0,0]],[63352083,63383760,[812,627,161,44,93,48,8,7,0,1,0]],[63383760,63415452,[807,570,180,48,79,65,6,10,0,2,1]],[63415452,63447160,[838,570,189,55,74,49,12,12,0,0,0]],[63447160,63478884,[815,543,177,66,90,68,4,10,0,3,0]],[63478884,63510624,[763,587,184,48,85,50,10,7,0,1,0]],[63510624,63542380,[822,589,162,46,96,54,7,5,0,2,0]],[63542380,63574152,[832,587,169,53,83,52,5,3,0,2,0]],[63574152,63605940,[807,598,151,49,83,62,11,10,0,0,1]],[63605940,63637743,[806,580,172,46,79,54,6,6,0,0,0]],[63637743,63669562,[792,555,189,63,92,42,11,8,0,1,0]],[63669562,63701397,[802,602,163,44,98,54,9,7,0,1,0]],[63701397,63733248,[799,548,195,53,91,60,9,5,0,1,0]],[63733248,63765115,[840,548,191,51,101,57,2,7,0,2,0]],[63765115,63796998,[830,578,185,37,95,61,8,5,0,0,0]],[63796998,63828897,[798,601,166,52,85,54,12,8,0,2,0]],[63828897,63860812,[796,611,166,42,85,68,6,13,0,0,0]],[63860812,63892743,[847,576,180,46,80,75,7,10,0,2,0]],[63892743,63924690,[871,549,179,45,81,46,8,12,0,1,0]],[63924690,63956653,[795,581,170,58,84,61,10,5,0,1,0]],[63956653,63988632,[762,602,191,65,82,46,10,9,0,1,0]],[63988632,64020627,[817,576,176,44,83,48,8,11,0,1,0]],[64020627,64052638,[817,568,181,44,108,52,5,7,0,2,1]],[64052638,64084665,[801,591,171,54,92,60,11,7,0,3,0]],[64084665,64116708,[806,588,201,48,85,43,8,16,0,1,0]],[64116708,64148767,[843,573,169,64,90,44,14,8,0,0,0]],[64148767,64180842,[789,559,159,47,94,55,5,13,0,0,0]],[64180842,64212933,[805,611,181,64,88,58,12,6,0,1,0]],[64212933,64245040,[792,565,201,49,88,35,9,14,0,3,0]],[64245040,64277163,[792,596,199,52,81,59,10,10,0,1,0]],[64277163,64309302,[825,596,190,40,91,65,7,5,0,1,0]],[64309302,64341457,[849,534,189,49,84,54,6,13,0,1,0]],[64341457,64373628,[785,590,184,36,109,64,6,7,0,4,0]],[64373628,64405815,[856,579,172,59,82,48,6,9,0,1,0]],[64405815,64438018,[800,579,180,48,107,48,10,15,0,2,0]],[64438018,64470238,[831,582,166,43,86,59,9,8,0,2,0]],[64470238,64502474,[829,565,157,57,91,51,12,6,0,0,0]],[64502474,64534726,[804,599,180,57,93,48,14,13,0,1,0]],[64534726,64566994,[793,575,176,59,90,55,15,4,0,1,0]],[64566994,64599278,[756,609,175,54,80,58,7,7,0,1,0]],[64599278,64631578,[789,615,168,35,90,60,9,4,0,2,0]],[64631578,64663894,[810,582,196,48,73,67,15,6,0,1,0]],[64663894,64696226,[810,580,185,50,101,49,9,11,0,3,0]],[64696226,64728575,[825,584,168,57,78,80,10,8,0,0,0]],[64728575,64760940,[824,603,158,29,80,54,8,12,0,0,0]],[64760940,64793321,[846,529,192,65,76,58,14,7,0,0,0]],[64793321,64825718,[828,600,169,45,76,44,9,9,0,0,0]],[64825718,64858131,[812,572,182,41,78,68,11,5,0,3,0]],[64858131,64890561,[851,594,169,56,78,52,13,6,0,0,0]],[64890561,64923007,[840,550,221,41,96,45,10,8,0,1,0]],[64923007,64955469,[805,566,188,60,96,58,12,10,0,1,0]],[64955469,64987947,[831,609,171,44,82,51,10,10,0,2,0]],[64987947,65020441,[823,604,177,57,88,60,11,8,0,0,0]],[65020441,65052952,[809,593,188,51,101,70,6,4,0,0,0]],[65052952,65085479,[834,589,175,49,92,48,6,6,0,5,0]],[65085479,65118022,[819,584,170,44,84,63,7,13,0,3,0]],[65118022,65150582,[800,588,171,44,101,57,10,6,0,0,0]],[65150582,65183158,[811,604,177,62,85,45,14,7,0,0,0]],[65183158,65215750,[799,578,199,55,95,55,10,3,0,0,0]],[65215750,65248358,[846,592,182,46,94,54,12,4,0,1,0]],[65248358,65280983,[811,613,173,41,81,68,10,8,0,0,0]],[65280983,65313624,[852,592,174,55,92,53,11,12,0,2,0]],[65313624,65346281,[846,588,157,49,103,48,21,6,0,0,1]],[65346281,65378955,[840,538,183,38,93,58,8,12,0,2,0]],[65378955,65411645,[807,591,190,49,102,61,5,6,0,1,0]],[65411645,65444351,[835,630,182,56,90,56,6,6,0,0,1]],[65444351,65477074,[865,583,203,50,96,64,5,10,0,2,0]],[65477074,65509813,[857,570,168,53,91,57,12,7,0,1,0]],[65509813,65542568,[799,603,187,52,84,52,8,5,0,1,0]],[65542568,65575340,[858,575,175,50,87,56,10,11,0,3,0]],[65575340,65608128,[841,570,180,51,79,56,9,8,0,0,1]],[65608128,65640933,[866,571,172,52,80,61,6,15,0,1,0]],[65640933,65673754,[828,569,186,42,86,55,8,7,0,2,0]],[65673754,65706591,[828,620,184,47,81,64,9,14,0,4,0]],[65706591,65739445,[818,589,203,34,80,66,9,5,0,2,0]],[65739445,65772315,[804,605,179,59,89,64,10,4,0,3,0]],[65772315,65805202,[823,612,190,43,80,51,10,13,0,1,0]],[65805202,65838105,[841,579,180,53,105,61,13,8,0,0,0]],[65838105,65871025,[852,588,191,44,97,64,12,8,0,0,0]],[65871025,65903961,[836,566,185,52,90,60,8,6,0,1,0]],[65903961,65936913,[854,600,182,40,81,69,8,12,0,0,0]],[65936913,65969882,[855,610,173,45,87,53,8,3,0,4,0]],[65969882,66002867,[830,627,180,56,101,56,14,6,0,1,0]],[66002867,66035869,[808,601,187,61,98,60,11,10,0,0,0]],[66035869,66068887,[845,616,187,55,100,50,6,8,0,1,0]],[66068887,66101922,[860,567,166,62,69,65,10,14,0,2,0]],[66101922,66134973,[821,635,165,30,98,73,8,4,0,2,0]],[66134973,66168041,[849,571,183,50,97,52,13,6,0,1,0]],[66168041,66201126,[856,624,203,37,105,54,12,6,0,1,0]],[66201126,66234227,[833,593,185,61,90,48,11,6,0,2,0]],[66234227,66267345,[832,584,194,49,79,66,9,12,0,0,0]],[66267345,66300479,[841,594,184,47,97,61,5,13,0,3,0]],[66300479,66333630,[833,653,184,62,92,53,11,17,0,3,0]],[66333630,66366797,[858,564,198,49,94,52,12,5,0,2,0]],[66366797,66399981,[852,614,194,51,104,52,9,7,0,3,0]],[66399981,66433181,[794,608,179,52,113,58,8,9,0,0,0]],[66433181,66466398,[810,552,200,60,101,66,13,15,0,1,0]],[66466398,66499632,[859,589,179,53,86,53,15,11,0,1,0]],[66499632,66532882,[828,604,172,52,123,72,10,10,0,0,0]],[66532882,66566149,[849,577,175,53,102,48,8,12,0,1,0]],[66566149,66599433,[832,627,172,58,94,59,7,9,0,3,0]],[66599433,66632733,[868,645,164,53,65,57,8,6,0,1,0]],[66632733,66666050,[854,594,187,53,110,58,6,6,0,2,0]],[66666050,66699384,[843,598,182,50,115,64,5,7,0,2,0]],[66699384,66732734,[808,577,212,59,98,51,10,7,0,2,0]],[66732734,66766101,[817,615,184,44,88,59,13,9,0,2,0]],[66766101,66799485,[885,601,175,55,83,46,7,7,0,0,0]],[66799485,66832885,[855,573,178,49,90,57,13,6,0,2,0]],[66832885,66866302,[879,606,204,53,65,50,9,8,0,1,0]],[66866302,66899736,[851,615,177,61,103,58,10,9,0,1,0]],[66899736,66933186,[837,624,158,50,83,54,9,9,0,0,0]],[66933186,66966653,[832,557,211,52,97,74,12,7,0,0,0]],[66966653,67000137,[835,603,187,60,106,60,11,5,0,2,0]],[67000137,67033638,[861,617,142,49,95,50,12,5,0,1,0]],[67033638,67067155,[836,626,182,44,100,65,6,13,0,0,0]],[67067155,67100689,[857,608,190,47,80,55,8,10,0,0,0]],[67100689,67134240,[851,598,180,54,93,58,13,5,0,6,0]],[67134240,67167808,[844,592,175,53,92,57,12,6,0,1,0]],[67167808,67201392,[864,609,184,55,92,51,14,6,0,4,0]],[67201392,67234993,[898,588,174,53,86,56,10,11,0,2,0]],[67234993,67268611,[861,570,214,49,95,71,7,8,0,3,0]],[67268611,67302246,[848,606,183,58,99,79,8,8,0,0,0]],[67302246,67335898,[854,618,194,50,114,65,6,15,0,2,0]],[67335898,67369566,[827,597,194,60,89,56,10,6,0,1,0]],[67369566,67403251,[856,609,184,49,93,61,10,7,0,1,0]],[67403251,67436953,[861,617,189,64,75,62,8,9,0,1,0]],[67436953,67470672,[844,644,200,48,95,54,6,20,0,0,0]],[67470672,67504408,[841,613,175,48,87,63,11,9,0,1,0]],[67504408,67538161,[845,612,185,53,98,53,10,10,0,0,0]],[67538161,67571931,[863,610,191,43,95,58,11,6,0,4,0]],[67571931,67605717,[847,622,194,57,94,52,12,9,0,3,0]],[67605717,67639520,[834,597,197,55,94,57,11,6,0,3,0]],[67639520,67673340,[885,585,177,53,98,71,14,14,0,2,0]],[67673340,67707177,[857,572,183,63,89,74,9,9,0,2,0]],[67707177,67741031,[870,628,186,41,105,68,12,8,0,0,0]],[67741031,67774902,[877,600,175,38,79,55,17,7,0,2,0]],[67774902,67808790,[871,605,188,44,85,59,6,11,0,0,0]],[67808790,67842695,[865,581,209,64,68,60,5,6,0,1,1]],[67842695,67876617,[863,625,193,44,89,60,12,8,0,1,1]],[67876617,67910556,[868,640,179,57,91,50,12,7,0,0,0]],[67910556,67944512,[866,627,185,62,73,75,8,5,0,2,0]],[67944512,67978485,[907,582,189,52,89,48,7,5,0,0,0]],[67978485,68012475,[906,574,199,58,78,53,10,8,0,1,0]],[68012475,68046482,[847,615,200,48,90,53,9,9,0,0,0]],[68046482,68080506,[868,603,196,61,76,69,8,12,0,0,0]],[68080506,68114547,[819,621,170,53,115,59,14,9,0,1,0]],[68114547,68148605,[843,623,197,60,85,53,13,10,0,3,0]],[68148605,68182680,[838,628,186,48,91,65,14,10,0,0,0]],[68182680,68216772,[900,597,187,41,96,69,9,5,0,2,0]],[68216772,68250881,[878,613,192,53,97,58,4,8,0,2,0]],[68250881,68285007,[878,607,191,53,86,46,9,11,0,6,0]],[68285007,68319150,[851,585,195,61,97,69,12,8,0,1,0]],[68319150,68353310,[880,578,195,45,118,55,12,10,0,1,0]],[68353310,68387487,[826,618,176,63,98,50,10,9,0,0,0]],[68387487,68421681,[862,613,221,61,87,58,13,8,0,2,0]],[68421681,68455892,[869,580,199,57,107,41,10,7,0,2,0]],[68455892,68490120,[901,585,214,61,95,57,12,13,0,2,0]],[68490120,68524366,[876,619,196,57,88,48,7,3,0,1,0]],[68524366,68558629,[865,578,171,65,92,59,17,5,0,0,0]],[68558629,68592909,[872,629,190,38,101,63,14,11,0,1,0]],[68592909,68627206,[912,589,180,53,83,52,10,6,0,2,0]],[68627206,68661520,[864,621,196,56,95,54,11,5,0,1,0]],[68661520,68695851,[888,593,173,80,89,49,11,13,0,1,0]],[68695851,68730199,[858,651,176,59,93,58,13,10,0,0,0]],[68730199,68764565,[883,609,187,40,97,49,9,14,0,0,0]],[68764565,68798948,[889,599,192,62,103,54,12,8,0,3,0]],[68798948,68833348,[829,631,175,46,71,58,10,14,0,3,0]],[68833348,68867765,[879,609,203,57,104,62,6,10,0,3,0]],[68867765,68902199,[866,676,172,59,88,45,12,9,0,1,0]],[68902199,68936651,[872,586,190,56,95,60,4,3,0,0,0]],[68936651,68971120,[841,631,191,49,102,71,10,9,0,1,0]],[68971120,69005606,[864,630,209,54,99,76,11,9,0,2,0]],[69005606,69040109,[883,590,210,46,92,53,10,4,0,2,0]],[69040109,69074630,[885,593,199,51,102,60,12,12,0,1,0]],[69074630,69109168,[887,584,196,46,93,67,7,9,0,2,0]],[69109168,69143723,[860,624,209,57,100,60,18,10,0,4,0]],[69143723,69178295,[812,657,212,64,99,50,13,2,0,0,0]],[69178295,69212885,[854,636,187,55,87,59,17,8,0,1,0]],[69212885,69247492,[870,588,196,42,89,54,6,8,0,0,0]],[69247492,69282116,[859,619,216,53,106,60,6,10,0,2,0]],[69282116,69316758,[830,639,191,55,95,73,12,10,0,1,0]],[69316758,69351417,[875,630,206,55,98,64,9,8,0,0,0]],[69351417,69386093,[858,651,180,57,106,66,8,9,0,3,0]],[69386093,69420787,[900,610,203,50,110,73,12,9,0,1,0]],[69420787,69455498,[894,603,197,48,109,58,16,8,0,2,0]],[69455498,69490226,[889,604,184,58,98,75,10,10,0,1,0]],[69490226,69524972,[918,596,179,53,104,56,10,4,0,2,0]],[69524972,69559735,[941,578,207,45,93,64,14,7,0,0,0]],[69559735,69594515,[881,645,202,48,98,51,7,10,0,3,0]],[69594515,69629313,[862,637,188,56,81,66,11,8,0,3,0]],[69629313,69664128,[930,590,192,49,92,70,7,6,0,1,0]],[69664128,69698961,[894,590,208,52,113,64,13,7,0,1,0]],[69698961,69733811,[864,644,188,54,103,60,9,12,0,1,0]],[69733811,69768678,[892,625,205,50,91,70,12,11,0,1,0]],[69768678,69803563,[900,614,207,33,85,58,9,11,0,2,0]],[69803563,69838465,[893,627,191,58,104,60,10,6,0,2,0]],[69838465,69873385,[881,648,174,46,89,53,9,9,0,0,0]],[69873385,69908322,[859,608,208,58,101,56,9,2,0,0,0]],[69908322,69943277,[922,586,195,60,97,58,14,3,0,1,0]],[69943277,69978249,[868,615,186,53,99,60,10,15,0,3,0]],[69978249,70000000,[574,376,106,37,45,38,9,7,0,2,1]]],\"seconds\":22.929243323000264}\n" }, { "path": "anc/code/1.1.1/data/3723_census_blocks/block_70000000_80000000.json", "size_bytes": 14891, "sha256": "aef9abe43d767383d2479a7294e90004a6a85bc3406c2306ca8fd3313edfea88", "mode": 420, "encoding": "utf-8", "text": "{\"lower\":70000000,\"upper\":80000000,\"prime_count\":551318,\"sha256_prime_rootcount_stream\":\"8ada3b010c68f2a65be3f85a3c358e2ca0c3d1a9d50cb1379ce9bfa4f9a9e46f\",\"bins\":[[70000000,70013239,[333,225,72,8,34,27,5,4,0,1,0]],[70013239,70048246,[914,646,174,46,106,45,11,11,0,1,0]],[70048246,70083271,[849,643,192,43,98,66,7,8,0,1,0]],[70083271,70118313,[905,669,199,52,84,57,7,8,0,0,0]],[70118313,70153373,[846,638,182,49,109,57,15,12,0,3,0]],[70153373,70188450,[907,595,209,54,108,73,8,13,0,4,0]],[70188450,70223545,[864,614,202,53,92,74,6,9,0,2,0]],[70223545,70258657,[934,627,173,60,84,68,8,10,0,4,0]],[70258657,70293787,[915,634,165,49,113,60,9,7,0,2,0]],[70293787,70328934,[881,663,188,55,100,50,9,8,0,1,0]],[70328934,70364099,[874,608,207,64,119,53,11,10,0,1,0]],[70364099,70399282,[886,615,220,47,96,52,12,10,0,2,0]],[70399282,70434482,[921,634,217,57,83,64,11,9,0,0,0]],[70434482,70469700,[874,635,182,57,95,71,6,9,0,2,0]],[70469700,70504935,[872,698,171,63,93,75,8,13,0,2,0]],[70504935,70540188,[847,629,199,56,106,64,10,9,0,1,0]],[70540188,70575459,[925,635,181,53,115,51,11,9,0,0,0]],[70575459,70610747,[909,634,187,65,106,52,10,10,0,1,0]],[70610747,70646053,[847,620,184,42,91,59,7,7,0,4,0]],[70646053,70681377,[893,637,209,63,99,62,6,9,0,1,0]],[70681377,70716718,[913,585,201,57,85,68,10,8,0,0,0]],[70716718,70752077,[892,656,198,63,97,68,7,7,0,2,0]],[70752077,70787454,[874,608,189,50,94,66,5,12,0,1,0]],[70787454,70822848,[880,641,196,58,90,52,12,4,0,3,0]],[70822848,70858260,[904,632,195,46,104,56,7,9,0,1,0]],[70858260,70893690,[934,587,216,54,97,60,8,3,0,2,0]],[70893690,70929137,[913,606,185,55,96,83,7,11,0,0,0]],[70929137,70964602,[882,630,209,62,113,65,14,11,0,4,0]],[70964602,71000085,[898,643,195,50,100,41,12,7,0,2,0]],[71000085,71035586,[887,614,203,65,115,65,14,8,0,2,0]],[71035586,71071104,[869,657,190,61,87,57,9,15,0,0,0]],[71071104,71106640,[907,627,214,62,107,55,10,7,0,3,0]],[71106640,71142194,[909,647,190,49,106,52,10,9,0,2,0]],[71142194,71177766,[880,642,177,57,108,53,13,10,0,3,0]],[71177766,71213355,[919,619,180,55,106,65,15,2,0,2,0]],[71213355,71248962,[923,620,193,56,90,70,12,15,0,0,0]],[71248962,71284587,[898,677,177,49,94,70,8,9,0,4,0]],[71284587,71320230,[922,638,195,45,82,55,11,9,0,1,0]],[71320230,71355891,[933,619,192,55,90,69,7,5,0,0,0]],[71355891,71391569,[904,615,200,48,111,65,12,12,0,1,0]],[71391569,71427265,[913,635,218,56,107,54,6,9,0,1,0]],[71427265,71462979,[930,686,180,47,98,69,10,9,0,2,0]],[71462979,71498711,[910,618,209,53,97,57,8,6,0,3,0]],[71498711,71534461,[904,654,198,74,89,62,10,3,0,1,0]],[71534461,71570229,[924,632,191,68,98,48,5,11,0,1,0]],[71570229,71606015,[916,671,192,58,83,62,13,9,0,0,0]],[71606015,71641819,[861,658,204,51,100,69,6,14,0,1,0]],[71641819,71677640,[911,626,190,45,122,55,9,10,0,1,0]],[71677640,71713479,[902,635,170,56,108,58,13,8,0,0,0]],[71713479,71749336,[910,662,178,70,112,59,7,5,0,4,0]],[71749336,71785211,[880,613,177,66,82,49,11,12,0,0,0]],[71785211,71821104,[917,635,206,64,107,62,6,11,0,1,0]],[71821104,71857015,[934,624,191,55,105,72,9,11,0,2,0]],[71857015,71892944,[878,667,209,50,97,55,15,9,0,5,0]],[71892944,71928891,[900,654,219,60,93,62,11,7,0,3,0]],[71928891,71964856,[889,642,182,46,92,68,6,12,0,2,0]],[71964856,72000839,[922,651,187,61,92,56,10,2,0,2,0]],[72000839,72036840,[937,631,198,58,100,49,11,11,0,3,0]],[72036840,72072859,[963,636,188,63,94,58,15,4,0,1,0]],[72072859,72108896,[885,648,209,80,105,52,14,11,0,2,0]],[72108896,72144951,[895,689,197,47,90,63,10,14,0,2,0]],[72144951,72181024,[919,632,207,64,104,59,8,14,0,1,0]],[72181024,72217115,[948,639,213,61,119,59,7,11,0,1,0]],[72217115,72253224,[918,608,191,55,114,70,11,13,0,1,0]],[72253224,72289351,[931,655,196,49,93,60,15,18,0,2,0]],[72289351,72325496,[934,645,203,59,108,64,8,7,0,0,0]],[72325496,72361659,[912,650,187,62,103,63,12,10,0,2,0]],[72361659,72397840,[921,600,200,60,107,61,14,15,0,1,0]],[72397840,72434039,[937,596,210,58,108,54,11,15,0,1,0]],[72434039,72470257,[928,673,188,58,91,49,5,8,0,0,0]],[72470257,72506493,[897,644,191,53,104,52,15,8,0,5,0]],[72506493,72542747,[989,651,182,53,101,45,11,5,0,2,0]],[72542747,72579019,[946,630,227,51,98,50,9,5,0,0,0]],[72579019,72615309,[849,663,187,65,116,61,14,8,0,0,0]],[72615309,72651617,[874,665,187,71,104,66,16,8,0,0,0]],[72651617,72687943,[893,653,197,59,103,68,11,11,0,4,0]],[72687943,72724287,[944,654,201,52,102,68,7,10,0,0,1]],[72724287,72760650,[909,666,178,46,113,56,7,9,0,1,0]],[72760650,72797031,[849,671,194,47,103,82,8,11,0,3,0]],[72797031,72833430,[955,659,206,50,104,67,6,11,0,0,0]],[72833430,72869847,[937,651,217,48,88,55,12,12,0,2,0]],[72869847,72906282,[933,628,206,65,103,68,14,9,0,1,0]],[72906282,72942736,[956,650,183,58,103,52,11,11,0,0,0]],[72942736,72979208,[935,642,201,59,106,60,11,6,0,1,1]],[72979208,73015698,[878,675,210,46,108,60,15,12,0,2,0]],[73015698,73052206,[971,677,186,41,98,64,10,6,0,0,0]],[73052206,73088733,[884,686,213,49,94,58,10,6,0,1,0]],[73088733,73125278,[891,675,188,57,102,57,6,11,0,3,0]],[73125278,73161841,[908,701,182,59,89,55,13,9,0,3,1]],[73161841,73198422,[905,658,195,45,89,59,11,15,0,3,0]],[73198422,73235022,[946,631,205,58,90,71,8,12,0,1,0]],[73235022,73271640,[950,668,188,42,100,61,7,14,0,3,0]],[73271640,73308276,[922,683,175,55,99,64,11,6,0,1,0]],[73308276,73344931,[916,694,221,47,88,61,8,11,0,3,0]],[73344931,73381604,[951,609,200,59,94,61,14,13,0,0,0]],[73381604,73418295,[926,632,220,51,90,55,20,11,0,1,0]],[73418295,73455005,[895,682,198,57,101,60,15,5,0,2,0]],[73455005,73491733,[937,658,195,59,95,65,12,2,0,1,0]],[73491733,73528479,[921,679,207,56,93,59,10,8,0,2,0]],[73528479,73565244,[884,723,190,77,114,57,10,6,0,0,0]],[73565244,73602027,[925,642,225,51,107,70,11,16,0,1,0]],[73602027,73638829,[945,670,184,60,87,65,12,6,0,0,0]],[73638829,73675649,[925,691,175,58,115,57,8,9,0,2,0]],[73675649,73712487,[935,709,189,55,90,56,8,12,0,2,0]],[73712487,73749344,[915,642,216,52,104,71,7,12,0,1,0]],[73749344,73786219,[922,665,188,71,96,60,10,9,0,1,0]],[73786219,73823113,[905,657,223,57,106,66,9,11,0,0,0]],[73823113,73860025,[996,616,209,53,105,55,8,4,0,1,0]],[73860025,73896956,[927,651,214,63,113,57,8,13,0,0,0]],[73896956,73933905,[933,657,228,51,98,68,11,12,0,1,0]],[73933905,73970872,[901,682,192,51,99,70,14,14,0,3,0]],[73970872,74007858,[956,646,200,50,91,59,9,9,0,1,0]],[74007858,74044862,[947,637,214,62,105,51,13,10,0,1,0]],[74044862,74081885,[868,664,188,51,98,56,14,10,0,1,0]],[74081885,74118926,[941,674,188,66,107,81,10,12,0,3,0]],[74118926,74155986,[940,635,212,55,94,74,7,7,0,2,0]],[74155986,74193064,[908,665,212,54,116,59,6,5,0,2,0]],[74193064,74230161,[955,643,220,72,98,52,12,7,0,1,0]],[74230161,74267277,[891,658,222,63,101,55,13,8,0,0,0]],[74267277,74304411,[917,667,207,52,120,75,13,3,0,0,0]],[74304411,74341564,[958,649,197,72,100,55,15,12,0,2,0]],[74341564,74378735,[907,660,231,67,106,61,8,16,0,3,0]],[74378735,74415925,[976,623,198,69,99,73,13,9,0,1,0]],[74415925,74453133,[965,634,196,56,120,64,9,12,0,3,0]],[74453133,74490360,[856,665,217,62,128,57,10,13,0,0,0]],[74490360,74527606,[917,667,202,68,111,66,11,10,0,2,0]],[74527606,74564870,[922,637,201,67,114,52,16,9,0,1,0]],[74564870,74602153,[965,673,209,52,112,83,9,12,0,2,0]],[74602153,74639455,[928,659,204,60,96,68,8,9,0,1,0]],[74639455,74676775,[930,644,216,56,107,68,10,6,0,1,0]],[74676775,74714114,[956,646,208,58,100,65,11,13,0,0,0]],[74714114,74751472,[947,662,208,55,94,79,10,7,0,0,2]],[74751472,74788848,[996,654,215,59,99,71,10,13,0,2,0]],[74788848,74826243,[928,677,213,57,93,68,13,5,0,2,1]],[74826243,74863657,[938,634,220,54,94,61,18,11,0,1,0]],[74863657,74901089,[965,635,244,64,112,74,12,7,0,1,0]],[74901089,74938540,[916,673,224,52,110,63,8,10,0,2,0]],[74938540,74976010,[912,678,206,58,113,51,8,17,0,1,0]],[74976010,75013499,[936,673,206,55,102,65,11,8,0,3,0]],[75013499,75051006,[955,643,199,54,100,65,9,6,0,1,0]],[75051006,75088532,[949,680,215,57,101,81,7,6,0,2,0]],[75088532,75126077,[991,674,191,49,92,60,9,9,0,5,0]],[75126077,75163641,[901,699,216,49,109,67,16,12,0,1,0]],[75163641,75201223,[945,655,217,64,106,69,20,16,0,3,0]],[75201223,75238824,[965,676,204,62,101,64,15,9,0,1,0]],[75238824,75276444,[991,634,195,65,112,63,15,6,0,6,0]],[75276444,75314083,[985,659,190,48,102,76,8,15,0,1,0]],[75314083,75351741,[937,664,189,53,118,73,13,11,0,5,0]],[75351741,75389417,[983,680,195,38,99,67,9,9,0,2,0]],[75389417,75427112,[940,702,191,69,110,74,14,12,0,2,0]],[75427112,75464826,[935,691,208,66,115,69,10,8,0,2,0]],[75464826,75502559,[967,662,205,63,92,68,11,7,0,1,0]],[75502559,75540311,[921,662,214,61,100,76,9,7,0,0,0]],[75540311,75578082,[974,636,210,54,106,70,16,12,0,2,0]],[75578082,75615872,[953,631,226,57,92,75,14,7,0,2,0]],[75615872,75653680,[976,659,228,45,124,66,9,8,0,2,0]],[75653680,75691507,[937,682,200,58,107,65,14,12,0,0,0]],[75691507,75729353,[957,672,184,50,129,61,11,15,0,3,0]],[75729353,75767218,[961,684,189,58,104,71,14,11,0,3,0]],[75767218,75805102,[1038,656,181,54,105,59,11,10,0,4,0]],[75805102,75843005,[979,670,212,55,114,63,10,6,0,2,0]],[75843005,75880927,[972,668,211,64,104,63,11,13,0,2,0]],[75880927,75918868,[989,687,190,55,88,73,10,6,0,1,0]],[75918868,75956828,[939,674,196,46,111,75,15,16,0,0,0]],[75956828,75994807,[946,727,202,59,113,68,10,9,0,1,0]],[75994807,76032805,[977,655,224,65,106,45,14,7,0,4,0]],[76032805,76070822,[945,652,212,61,123,65,5,6,0,0,0]],[76070822,76108858,[970,659,186,73,118,59,7,11,0,2,0]],[76108858,76146913,[971,663,231,52,99,70,8,20,0,3,0]],[76146913,76184987,[961,676,212,51,98,66,13,9,0,2,0]],[76184987,76223080,[925,725,198,41,109,81,10,11,0,0,0]],[76223080,76261192,[916,669,234,59,103,80,10,7,0,0,0]],[76261192,76299323,[934,694,190,54,100,60,11,13,0,1,0]],[76299323,76337473,[958,638,219,55,112,66,9,9,0,2,0]],[76337473,76375642,[968,745,177,59,109,64,12,12,0,2,0]],[76375642,76413830,[951,701,208,54,111,57,8,6,0,2,0]],[76413830,76452037,[956,706,218,62,98,51,9,15,0,2,0]],[76452037,76490264,[912,700,191,64,103,79,9,9,0,0,0]],[76490264,76528510,[937,667,203,50,118,81,11,9,0,0,0]],[76528510,76566775,[992,724,198,71,86,66,6,7,0,2,0]],[76566775,76605059,[953,654,227,61,93,61,9,11,0,0,0]],[76605059,76643362,[970,668,220,44,103,60,18,12,0,1,0]],[76643362,76681684,[956,685,175,55,102,60,13,10,0,2,0]],[76681684,76720025,[935,709,226,59,104,65,10,16,0,3,0]],[76720025,76758386,[955,684,200,62,89,46,11,15,0,2,0]],[76758386,76796766,[995,670,227,63,105,66,7,8,0,0,0]],[76796766,76835165,[1012,675,212,56,97,77,8,4,0,2,0]],[76835165,76873583,[1014,631,186,63,116,69,6,9,0,3,0]],[76873583,76912020,[989,695,192,55,112,52,11,8,0,1,0]],[76912020,76950477,[972,676,214,68,99,74,9,17,0,1,0]],[76950477,76988953,[1004,654,219,69,92,63,9,15,0,0,0]],[76988953,77027448,[981,694,223,54,120,74,15,10,0,0,0]],[77027448,77065962,[936,696,221,49,101,67,9,6,0,1,1]],[77065962,77104495,[1011,675,196,66,100,64,14,8,0,0,0]],[77104495,77143048,[972,700,219,46,101,60,14,10,0,3,0]],[77143048,77181620,[1011,660,217,61,111,70,10,13,0,1,0]],[77181620,77220211,[962,685,202,61,116,71,11,8,0,2,0]],[77220211,77258822,[960,700,181,57,111,84,14,5,0,0,0]],[77258822,77297452,[945,684,223,65,104,57,14,5,0,0,0]],[77297452,77336101,[989,680,212,60,109,62,7,9,0,1,0]],[77336101,77374770,[976,715,194,63,110,65,13,11,0,1,0]],[77374770,77413458,[987,716,179,53,108,63,15,7,0,0,0]],[77413458,77452165,[977,668,224,72,84,85,7,7,0,1,0]],[77452165,77490892,[989,671,204,55,107,63,13,6,0,1,0]],[77490892,77529638,[1008,658,219,55,98,66,12,15,0,2,0]],[77529638,77568403,[978,699,221,51,97,74,10,10,0,0,0]],[77568403,77607188,[971,709,197,58,98,59,19,14,0,0,0]],[77607188,77645992,[977,709,197,56,111,59,12,8,0,0,0]],[77645992,77684815,[987,649,219,57,111,70,15,11,0,0,1]],[77684815,77723658,[963,703,219,72,88,69,13,9,0,1,0]],[77723658,77762520,[1030,672,208,51,94,78,5,10,0,0,0]],[77762520,77801402,[1021,641,212,63,114,64,10,7,0,0,0]],[77801402,77840303,[970,697,225,55,97,67,11,15,0,3,0]],[77840303,77879224,[1020,652,208,55,108,71,13,10,0,2,0]],[77879224,77918164,[979,722,226,75,104,70,9,4,0,0,1]],[77918164,77957124,[993,672,200,66,115,66,10,15,0,2,0]],[77957124,77996103,[952,694,212,58,98,76,14,11,0,0,0]],[77996103,78035102,[1004,699,192,61,121,59,10,10,0,2,0]],[78035102,78074120,[974,691,223,61,115,59,9,14,0,1,1]],[78074120,78113158,[924,710,221,62,128,89,9,13,0,1,0]],[78113158,78152215,[947,739,192,60,105,73,13,10,0,2,0]],[78152215,78191292,[990,743,211,56,96,60,4,7,0,1,0]],[78191292,78230388,[981,695,222,73,101,56,12,13,0,1,0]],[78230388,78269504,[990,700,201,47,91,66,8,11,0,1,0]],[78269504,78308639,[979,693,207,74,96,64,12,10,0,2,0]],[78308639,78347794,[973,687,213,64,86,66,11,5,0,0,0]],[78347794,78386968,[1008,720,226,49,92,65,9,11,0,2,0]],[78386968,78426162,[972,665,206,51,127,74,10,11,0,0,0]],[78426162,78465376,[993,664,230,61,110,59,14,4,0,1,0]],[78465376,78504609,[955,713,219,61,101,67,6,8,0,2,0]],[78504609,78543862,[975,720,230,61,117,70,12,9,0,3,1]],[78543862,78583134,[976,720,229,64,100,86,8,10,0,5,1]],[78583134,78622426,[1011,693,198,51,89,82,16,10,0,1,0]],[78622426,78661738,[967,682,210,59,121,77,13,13,0,1,0]],[78661738,78701069,[955,734,202,69,100,68,15,9,0,1,0]],[78701069,78740420,[1002,722,214,48,115,60,12,12,0,2,0]],[78740420,78779791,[1002,715,201,59,110,62,10,8,0,3,0]],[78779791,78819181,[1033,662,218,65,103,73,9,10,0,2,0]],[78819181,78858591,[1000,638,228,52,110,69,14,10,0,0,0]],[78858591,78898021,[973,723,233,62,107,61,10,17,0,0,0]],[78898021,78937471,[990,659,239,69,105,62,14,2,0,2,0]],[78937471,78976940,[1014,697,221,57,113,72,6,15,0,2,0]],[78976940,79016429,[970,714,218,57,110,53,14,9,0,1,0]],[79016429,79055938,[1008,701,207,72,118,66,16,9,0,1,0]],[79055938,79095466,[1001,714,219,63,108,66,11,11,0,1,0]],[79095466,79135014,[956,699,232,72,107,72,17,12,0,0,0]],[79135014,79174582,[949,698,233,60,136,80,5,14,0,1,0]],[79174582,79214170,[991,707,214,68,102,70,10,12,0,2,0]],[79214170,79253778,[1027,677,217,56,101,75,20,10,0,2,0]],[79253778,79293405,[997,644,224,69,99,79,9,15,0,1,0]],[79293405,79333052,[976,749,208,48,83,68,14,8,0,1,0]],[79333052,79372719,[977,696,234,66,111,71,8,8,0,1,0]],[79372719,79412406,[1054,688,224,60,108,66,11,14,0,3,0]],[79412406,79452113,[1013,727,191,59,98,82,8,10,0,1,0]],[79452113,79491840,[994,683,230,64,104,80,8,14,0,0,0]],[79491840,79531586,[972,709,202,68,114,81,9,11,0,5,0]],[79531586,79571352,[987,708,248,58,103,71,9,7,0,2,0]],[79571352,79611138,[973,729,248,64,91,61,11,8,0,1,1]],[79611138,79650944,[1017,725,221,64,109,69,8,8,0,4,0]],[79650944,79690770,[984,707,195,59,113,66,12,16,0,1,0]],[79690770,79730616,[1012,718,228,64,119,61,18,8,0,0,0]],[79730616,79770482,[1011,685,211,55,96,59,12,16,0,1,0]],[79770482,79810368,[981,722,231,48,121,80,9,8,0,1,0]],[79810368,79850274,[973,714,225,58,106,73,8,11,0,0,0]],[79850274,79890200,[996,752,216,62,112,75,11,13,0,2,0]],[79890200,79930146,[967,735,226,48,98,71,9,10,0,0,0]],[79930146,79970112,[966,729,234,80,108,79,9,8,0,1,0]],[79970112,80000000,[709,550,149,48,79,40,9,9,0,0,0]]],\"seconds\":22.773470158004784}\n" }, { "path": "anc/code/1.1.1/data/3723_census_blocks/block_80000000_90000000.json", "size_bytes": 13526, "sha256": "20246c42182f4a2a71863172a95d937706cd0ff1a280ea8e77a243ce66787232", "mode": 420, "encoding": "utf-8", "text": "{\"lower\":80000000,\"upper\":90000000,\"prime_count\":547572,\"sha256_prime_rootcount_stream\":\"692692bdc273d73d13b3ec00389c69ced4179eeb0cad687408dd2a50a29b5952\",\"bins\":[[80000000,80010098,[252,160,51,14,16,19,3,1,0,0,0]],[80010098,80050104,[1007,726,192,67,132,54,14,9,0,2,0]],[80050104,80090130,[1013,716,220,73,109,59,14,18,0,0,0]],[80090130,80130176,[1005,723,223,77,101,68,6,13,0,0,0]],[80130176,80170242,[1008,679,229,53,107,83,10,10,0,1,0]],[80170242,80210328,[960,725,211,72,115,67,18,5,0,1,0]],[80210328,80250434,[1002,725,228,58,106,81,12,10,0,3,0]],[80250434,80290560,[1043,729,214,50,115,69,13,10,0,0,0]],[80290560,80330706,[977,745,239,53,106,68,12,10,0,2,0]],[80330706,80370872,[1004,683,212,56,113,83,15,12,0,2,0]],[80370872,80411058,[992,767,209,66,112,74,14,9,0,2,0]],[80411058,80451264,[1046,704,211,52,107,57,9,16,0,0,0]],[80451264,80491490,[1001,758,222,58,105,76,10,10,0,1,0]],[80491490,80531736,[1000,711,231,53,108,83,9,13,0,2,0]],[80531736,80572002,[990,670,257,63,112,73,13,5,0,3,1]],[80572002,80612289,[1005,700,244,57,93,74,6,11,0,1,0]],[80612289,80652596,[1012,745,206,66,97,74,10,7,0,0,0]],[80652596,80692923,[1008,692,257,65,103,53,11,10,0,1,0]],[80692923,80733270,[1027,720,233,58,86,73,8,13,0,0,0]],[80733270,80773637,[1068,686,232,54,112,86,8,7,0,1,0]],[80773637,80814024,[1034,679,228,72,117,71,11,10,0,2,0]],[80814024,80854432,[1001,734,210,75,107,78,17,9,0,2,0]],[80854432,80894860,[1046,691,249,70,119,54,14,8,0,0,0]],[80894860,80935308,[1017,700,221,67,109,65,16,16,0,1,0]],[80935308,80975776,[995,727,212,75,114,72,9,15,0,0,0]],[80975776,81016264,[1039,735,257,62,119,61,13,12,0,4,0]],[81016264,81056773,[972,754,232,76,111,72,7,8,0,1,0]],[81056773,81097302,[1033,738,232,63,102,76,8,11,0,0,0]],[81097302,81137851,[1000,746,203,60,138,78,11,18,0,2,0]],[81137851,81178420,[1006,727,216,59,103,78,14,8,0,4,0]],[81178420,81219010,[1045,692,228,56,122,58,8,11,0,1,0]],[81219010,81259620,[1065,716,213,53,120,73,12,12,0,2,0]],[81259620,81300250,[991,695,224,66,113,71,16,13,0,4,0]],[81300250,81340901,[1013,708,233,57,117,71,9,13,0,0,0]],[81340901,81381572,[1048,700,237,55,112,61,13,11,0,1,0]],[81381572,81422263,[1029,745,230,50,109,63,9,11,0,1,0]],[81422263,81462975,[1040,737,242,56,110,64,14,8,0,0,0]],[81462975,81503707,[1008,726,215,64,116,78,10,7,0,1,0]],[81503707,81544459,[972,754,208,67,100,69,14,11,0,3,0]],[81544459,81585232,[1003,736,246,64,116,47,14,18,0,0,1]],[81585232,81626025,[1007,767,224,60,104,63,13,6,0,4,0]],[81626025,81666839,[978,743,233,68,112,63,11,11,0,4,0]],[81666839,81707673,[1039,738,221,80,105,63,15,19,0,0,0]],[81707673,81748527,[1039,689,225,75,102,54,12,11,0,2,0]],[81748527,81789402,[1031,722,212,58,118,61,11,8,0,1,0]],[81789402,81830297,[1016,700,226,81,109,72,15,6,0,3,0]],[81830297,81871213,[1044,700,226,68,127,80,4,7,0,1,0]],[81871213,81912149,[989,770,236,67,97,78,6,9,0,2,0]],[81912149,81953106,[1022,727,217,79,108,72,14,4,0,3,0]],[81953106,81994083,[998,734,249,66,122,69,6,15,0,2,0]],[81994083,82035081,[1027,734,229,61,142,75,15,11,0,4,0]],[82035081,82076099,[994,730,235,60,135,69,15,6,0,1,0]],[82076099,82117138,[1025,729,246,64,93,62,9,13,0,3,0]],[82117138,82158197,[1063,723,213,54,120,81,7,6,0,3,0]],[82158197,82199277,[1041,696,204,64,100,72,21,5,0,3,0]],[82199277,82240377,[1056,710,201,75,118,72,9,7,0,0,0]],[82240377,82281498,[1049,662,218,73,114,58,14,12,0,1,0]],[82281498,82322639,[1010,731,235,63,127,76,14,7,0,2,0]],[82322639,82363801,[1042,721,235,61,118,63,9,15,0,1,0]],[82363801,82404983,[1065,732,212,48,112,66,15,7,0,0,0]],[82404983,82446186,[1033,723,262,61,109,67,13,8,0,1,0]],[82446186,82487410,[1041,729,197,61,127,69,13,12,0,2,0]],[82487410,82528654,[1035,715,217,60,113,69,12,6,0,1,0]],[82528654,82569919,[1071,733,222,59,114,82,7,14,0,1,0]],[82569919,82611204,[1045,753,195,63,117,75,7,7,0,3,0]],[82611204,82652510,[1030,700,245,82,99,71,10,12,0,1,0]],[82652510,82693837,[1013,766,250,63,99,85,14,11,0,2,0]],[82693837,82735184,[1048,723,230,62,125,65,17,9,0,1,0]],[82735184,82776552,[1038,712,223,42,116,68,12,8,0,0,0]],[82776552,82817941,[1090,750,234,40,120,67,13,12,0,2,0]],[82817941,82859350,[1068,761,221,63,110,72,8,13,0,0,0]],[82859350,82900780,[1064,760,220,51,99,56,10,13,0,0,0]],[82900780,82942231,[1076,730,199,69,108,72,7,11,0,0,0]],[82942231,82983703,[1021,750,219,81,109,61,20,9,0,2,0]],[82983703,83025195,[1058,729,223,72,116,78,9,9,0,2,0]],[83025195,83066708,[1044,750,206,61,94,65,13,11,0,2,0]],[83066708,83108242,[1034,711,239,64,113,66,7,9,0,1,1]],[83108242,83149797,[1102,713,218,62,107,66,12,8,0,3,0]],[83149797,83191372,[1028,684,230,72,128,81,14,8,0,1,0]],[83191372,83232968,[992,748,215,63,123,80,10,5,0,2,0]],[83232968,83274585,[1057,745,205,90,97,73,9,12,0,4,0]],[83274585,83316223,[1027,742,234,67,105,72,8,10,0,1,0]],[83316223,83357882,[996,806,235,63,114,51,9,11,0,1,0]],[83357882,83399561,[1090,720,214,63,109,49,14,6,0,1,0]],[83399561,83441261,[1097,699,230,58,113,75,12,11,0,0,0]],[83441261,83482982,[1014,742,255,60,107,74,8,7,0,4,1]],[83482982,83524724,[1046,749,243,75,111,73,12,10,0,2,0]],[83524724,83566487,[1069,734,229,57,92,67,13,8,0,0,0]],[83566487,83608271,[1062,744,249,45,109,77,14,9,0,2,0]],[83608271,83650076,[1059,701,214,49,114,71,9,5,0,1,0]],[83650076,83691902,[1077,727,211,72,105,85,11,6,0,1,0]],[83691902,83733748,[1068,744,230,60,119,78,19,7,0,2,0]],[83733748,83775615,[1049,801,218,53,100,74,18,9,0,2,0]],[83775615,83817503,[1036,745,219,67,115,67,15,14,0,1,0]],[83817503,83859412,[1086,738,225,64,121,74,10,10,0,2,0]],[83859412,83901342,[1044,748,234,56,109,76,21,7,0,2,0]],[83901342,83943293,[1091,767,233,68,103,71,23,5,0,2,0]],[83943293,83985265,[1045,734,244,73,116,82,14,7,0,4,0]],[83985265,84027258,[1072,736,229,69,118,80,12,6,0,0,0]],[84027258,84069272,[1040,760,193,63,112,70,8,9,0,1,0]],[84069272,84111307,[1002,742,236,74,114,66,10,13,0,0,0]],[84111307,84153363,[1058,746,227,71,115,72,15,11,0,1,0]],[84153363,84195440,[1025,693,242,68,109,96,13,13,0,0,0]],[84195440,84237538,[1033,740,232,59,125,65,15,12,0,1,0]],[84237538,84279657,[1061,748,225,59,115,69,17,16,0,0,0]],[84279657,84321797,[1091,733,236,64,120,74,6,12,0,0,0]],[84321797,84363958,[1042,758,237,69,103,62,15,14,0,1,0]],[84363958,84406140,[1023,736,249,74,113,76,13,12,0,0,0]],[84406140,84448344,[1051,736,268,67,106,64,12,11,0,0,0]],[84448344,84490569,[1102,731,274,50,115,78,13,9,0,2,1]],[84490569,84532815,[1064,750,212,62,115,72,10,11,0,2,0]],[84532815,84575082,[1078,695,245,67,131,72,15,9,0,0,0]],[84575082,84617370,[1055,729,252,60,98,68,8,7,0,1,0]],[84617370,84659679,[1029,769,231,72,96,69,14,12,0,1,0]],[84659679,84702009,[1057,764,249,59,104,69,13,10,0,2,0]],[84702009,84744361,[1066,732,238,61,124,68,12,12,0,3,0]],[84744361,84786734,[1130,716,211,70,107,83,16,8,0,1,0]],[84786734,84829128,[1029,766,243,71,100,60,14,12,0,1,0]],[84829128,84871543,[1102,747,218,57,109,77,9,12,0,1,0]],[84871543,84913979,[1054,737,206,64,116,68,14,11,0,0,0]],[84913979,84956436,[1079,723,260,66,107,65,17,10,0,0,1]],[84956436,84998915,[1036,796,222,51,130,90,15,8,0,2,0]],[84998915,85041415,[1034,733,211,61,112,81,6,12,0,1,0]],[85041415,85083936,[1073,759,225,75,112,72,11,10,0,1,0]],[85083936,85126478,[1020,776,247,75,131,62,6,10,0,1,0]],[85126478,85169042,[1088,727,250,74,123,72,10,14,0,2,1]],[85169042,85211627,[1098,722,230,60,103,62,10,15,0,1,0]],[85211627,85254233,[1070,745,240,66,114,73,11,12,0,1,0]],[85254233,85296861,[1056,764,218,54,127,76,10,11,0,1,0]],[85296861,85339510,[1153,711,244,74,118,74,12,9,0,1,0]],[85339510,85382180,[1105,708,211,79,108,76,13,10,0,4,0]],[85382180,85424872,[1076,769,220,78,129,79,5,16,0,3,0]],[85424872,85467585,[1048,769,271,59,119,73,11,5,0,3,0]],[85467585,85510319,[1086,746,220,52,129,78,6,7,0,0,0]],[85510319,85553075,[1082,768,231,76,119,80,10,14,0,1,0]],[85553075,85595852,[1006,768,235,59,119,86,16,13,0,4,0]],[85595852,85638650,[1038,764,241,56,114,93,9,14,0,0,0]],[85638650,85681470,[1087,761,223,60,114,74,13,12,0,2,0]],[85681470,85724311,[1070,740,224,55,118,84,12,11,0,0,0]],[85724311,85767174,[1095,754,217,90,119,71,16,13,0,3,0]],[85767174,85810058,[1080,740,241,60,126,79,11,10,0,1,0]],[85810058,85852964,[1098,724,220,66,121,92,17,12,0,3,0]],[85852964,85895891,[1052,749,249,79,120,79,16,13,0,1,0]],[85895891,85938839,[1113,728,221,74,119,61,13,10,0,1,0]],[85938839,85981809,[1078,770,219,72,117,77,12,11,0,1,0]],[85981809,86024800,[1106,723,228,64,120,74,11,10,0,1,0]],[86024800,86067813,[1090,793,225,57,100,67,17,4,0,3,0]],[86067813,86110847,[1121,767,217,70,122,72,15,14,0,3,0]],[86110847,86153903,[1096,703,232,84,95,74,8,5,0,0,0]],[86153903,86196980,[1081,754,218,71,120,93,15,10,0,1,0]],[86196980,86240079,[1104,728,230,50,113,81,11,8,0,2,0]],[86240079,86283200,[1087,765,249,57,122,73,12,14,0,1,0]],[86283200,86326342,[1084,722,267,75,109,87,16,7,0,3,0]],[86326342,86369506,[1119,756,226,58,94,85,11,9,0,1,0]],[86369506,86412691,[1069,756,245,49,120,85,8,18,0,0,0]],[86412691,86455898,[1106,802,225,56,118,75,12,13,0,2,0]],[86455898,86499126,[1068,739,239,80,117,72,13,11,0,4,0]],[86499126,86542376,[1080,791,233,64,138,74,17,8,0,2,0]],[86542376,86585648,[1131,746,199,63,114,65,20,14,0,0,0]],[86585648,86628941,[1114,735,248,74,128,69,12,13,0,1,0]],[86628941,86672256,[1096,732,228,64,118,74,18,14,0,2,0]],[86672256,86715593,[1033,765,254,75,136,75,15,6,0,2,0]],[86715593,86758951,[1051,777,231,66,123,88,13,8,0,3,0]],[86758951,86802331,[1101,742,239,72,128,87,14,14,0,4,0]],[86802331,86845733,[1079,758,249,54,120,72,10,8,0,3,0]],[86845733,86889156,[1115,770,242,59,116,80,13,9,0,3,0]],[86889156,86932601,[1069,742,254,73,119,69,20,9,0,3,0]],[86932601,86976068,[1028,821,225,55,118,89,13,14,0,1,0]],[86976068,87019557,[1095,780,247,59,111,79,8,11,0,2,0]],[87019557,87063067,[1112,769,221,66,113,77,17,11,0,1,0]],[87063067,87106599,[1104,765,207,73,130,69,10,11,0,4,1]],[87106599,87150153,[1077,743,249,59,109,73,14,15,0,4,0]],[87150153,87193729,[1100,759,246,60,125,71,17,9,0,1,0]],[87193729,87237326,[1157,774,221,64,114,70,6,8,0,3,0]],[87237326,87280945,[1078,755,262,62,124,85,10,9,0,1,0]],[87280945,87324586,[1095,761,249,79,106,83,16,11,0,3,0]],[87324586,87368249,[1097,754,223,74,116,66,15,10,0,0,0]],[87368249,87411934,[1051,772,228,50,124,77,11,12,0,0,0]],[87411934,87455640,[1090,790,239,53,129,66,12,11,0,1,0]],[87455640,87499368,[1083,765,231,72,129,81,12,12,0,1,0]],[87499368,87543118,[1097,753,258,63,141,84,9,19,0,1,0]],[87543118,87586890,[1021,810,252,71,110,81,13,18,0,0,0]],[87586890,87630684,[1089,813,245,67,112,67,14,16,0,1,0]],[87630684,87674500,[1118,742,226,62,126,81,4,12,0,2,0]],[87674500,87718338,[1115,767,212,66,112,84,8,12,0,2,0]],[87718338,87762198,[1057,793,232,59,140,68,18,12,0,2,0]],[87762198,87806080,[1079,765,262,75,109,82,13,10,0,0,0]],[87806080,87849984,[1109,736,256,83,123,73,13,13,0,1,0]],[87849984,87893909,[1128,790,235,61,112,87,11,9,0,2,0]],[87893909,87937856,[1088,789,247,74,122,62,12,5,0,3,0]],[87937856,87981825,[1097,788,242,65,115,70,19,6,0,1,0]],[87981825,88025816,[1092,799,251,60,93,96,18,13,0,0,0]],[88025816,88069829,[1095,819,271,78,112,67,14,11,0,1,0]],[88069829,88113864,[1091,804,241,61,115,70,9,6,0,3,0]],[88113864,88157921,[1108,759,227,60,113,77,9,9,0,0,0]],[88157921,88202000,[1127,754,240,67,138,76,16,12,0,2,0]],[88202000,88246101,[1154,811,217,74,131,72,9,9,0,2,0]],[88246101,88290225,[1061,820,249,76,107,76,18,12,0,1,0]],[88290225,88334371,[1121,773,250,57,123,77,15,8,0,1,0]],[88334371,88378539,[1097,714,275,71,113,77,15,18,0,2,0]],[88378539,88422729,[1138,787,243,59,124,67,15,14,0,0,0]],[88422729,88466941,[1116,781,238,69,105,64,13,10,0,1,0]],[88466941,88511175,[1033,768,273,62,122,72,14,11,0,4,0]],[88511175,88555431,[1029,800,231,67,122,70,12,15,0,1,0]],[88555431,88599709,[1090,798,237,58,119,84,12,12,0,2,1]],[88599709,88644009,[1117,785,252,66,157,80,11,10,0,1,0]],[88644009,88688332,[1092,788,220,82,123,63,12,8,0,3,0]],[88688332,88732677,[1117,761,268,67,115,78,15,13,0,3,0]],[88732677,88777044,[1095,762,252,80,126,73,13,7,0,1,0]],[88777044,88821433,[1116,820,219,78,117,75,11,11,0,1,0]],[88821433,88865844,[1073,860,219,74,126,71,13,9,0,2,0]],[88865844,88910277,[1092,792,246,78,120,84,9,15,0,1,0]],[88910277,88954733,[1139,794,238,77,124,74,16,8,0,1,0]],[88954733,88999211,[1120,787,229,63,116,81,11,19,0,3,0]],[88999211,89043711,[1103,797,230,61,126,75,11,9,0,0,0]],[89043711,89088233,[1102,757,245,71,115,90,14,11,0,1,0]],[89088233,89132778,[1093,805,225,67,128,83,14,10,0,1,0]],[89132778,89177345,[1114,821,249,69,139,62,12,6,0,2,0]],[89177345,89221934,[1135,769,264,66,109,76,13,14,0,2,0]],[89221934,89266545,[1135,799,244,67,117,74,16,16,0,1,0]],[89266545,89311179,[1099,769,232,77,137,94,12,10,0,0,0]],[89311179,89355835,[1084,789,252,73,128,64,13,10,0,1,0]],[89355835,89400513,[1056,799,263,69,121,62,19,10,0,3,0]],[89400513,89445214,[1124,794,244,70,118,71,15,16,0,0,0]],[89445214,89489937,[1123,774,245,70,107,80,11,7,0,0,0]],[89489937,89534682,[1133,789,241,56,124,80,11,10,0,0,0]],[89534682,89579450,[1138,790,237,64,120,60,10,5,0,0,0]],[89579450,89624240,[1100,803,219,77,124,85,14,17,0,2,0]],[89624240,89669053,[1087,766,238,62,123,84,14,10,0,2,0]],[89669053,89713888,[1127,770,239,68,112,81,11,10,0,2,0]],[89713888,89758745,[1096,804,259,57,116,76,6,14,0,0,0]],[89758745,89803625,[1131,748,244,69,116,79,12,20,0,3,0]],[89803625,89848527,[1125,788,254,70,114,78,16,17,0,1,0]],[89848527,89893452,[1088,802,251,64,134,93,16,8,0,1,0]],[89893452,89938399,[1100,785,256,70,115,83,11,10,0,1,0]],[89938399,89983369,[1102,788,259,73,112,78,19,13,0,4,1]],[89983369,90000000,[413,302,88,28,37,38,1,6,0,0,0]]],\"seconds\":22.789158350991784}\n" }, { "path": "anc/code/1.1.1/data/3723_census_blocks/block_90000000_100000000.json", "size_bytes": 12206, "sha256": "0f2a7eed96c206e61641da9d7109439d4e9cd3b156e28870da259b2dace3571c", "mode": 420, "encoding": "utf-8", "text": "{\"lower\":90000000,\"upper\":100000000,\"prime_count\":544501,\"sha256_prime_rootcount_stream\":\"762b1b9807a61010f710772a6158e821171e6e5e2ed10cdc38f1b8ea1a67435a\",\"bins\":[[90000000,90028361,[719,505,158,49,83,49,12,7,0,0,0]],[90028361,90073376,[1142,790,265,74,111,72,11,13,0,1,0]],[90073376,90118413,[1129,815,245,75,120,55,13,15,0,0,0]],[90118413,90163473,[1135,792,241,64,126,76,17,10,0,3,0]],[90163473,90208555,[1174,779,211,74,125,80,14,15,0,6,0]],[90208555,90253660,[1068,861,248,63,119,74,11,11,0,2,0]],[90253660,90298787,[1138,836,249,54,110,79,14,13,0,2,0]],[90298787,90343937,[1154,785,261,68,110,97,13,13,0,1,0]],[90343937,90389109,[1117,806,239,71,122,65,19,9,0,2,0]],[90389109,90434304,[1129,782,250,64,113,81,9,14,0,3,0]],[90434304,90479522,[1159,805,274,58,122,73,10,18,0,1,0]],[90479522,90524762,[1142,789,244,58,140,83,11,13,0,1,0]],[90524762,90570025,[1101,832,214,66,119,79,12,15,0,0,0]],[90570025,90615311,[1132,759,237,58,115,87,22,16,0,3,0]],[90615311,90660619,[1142,830,227,69,117,74,12,8,0,1,0]],[90660619,90705950,[1129,805,233,72,130,80,14,12,0,2,0]],[90705950,90751303,[1137,783,241,61,136,85,13,10,0,2,0]],[90751303,90796679,[1161,792,278,65,116,65,13,8,0,3,0]],[90796679,90842078,[1105,812,260,81,133,73,11,15,0,4,0]],[90842078,90887500,[1103,838,231,64,117,70,15,10,0,1,0]],[90887500,90932944,[1147,840,241,69,123,85,10,8,0,2,0]],[90932944,90978411,[1119,852,232,67,107,81,10,13,0,0,0]],[90978411,91023901,[1101,804,246,65,133,90,5,6,0,1,0]],[91023901,91069413,[1090,808,286,65,133,69,11,16,0,4,0]],[91069413,91114948,[1121,792,263,68,118,76,12,10,0,3,0]],[91114948,91160506,[1094,827,259,79,132,72,7,14,0,0,0]],[91160506,91206087,[1118,835,271,71,114,86,16,14,0,1,0]],[91206087,91251691,[1196,795,224,82,114,92,11,11,0,1,0]],[91251691,91297317,[1140,805,268,69,127,84,13,10,0,1,0]],[91297317,91342966,[1126,776,263,49,127,96,14,10,0,4,0]],[91342966,91388638,[1106,848,246,72,112,74,15,20,0,4,0]],[91388638,91434333,[1161,720,247,70,135,90,12,20,0,3,0]],[91434333,91480051,[1186,751,256,78,141,59,4,10,0,2,0]],[91480051,91525792,[1134,821,242,65,131,80,8,16,0,2,0]],[91525792,91571555,[1168,790,240,71,121,68,14,13,0,2,0]],[91571555,91617341,[1154,815,243,68,131,87,12,10,0,0,0]],[91617341,91663150,[1128,840,226,49,131,80,13,14,0,2,0]],[91663150,91708982,[1174,810,262,67,126,85,14,13,0,0,0]],[91708982,91754837,[1159,767,265,72,139,74,12,8,0,5,0]],[91754837,91800715,[1180,806,246,60,114,72,12,6,0,2,0]],[91800715,91846616,[1096,815,247,66,112,76,14,8,0,2,0]],[91846616,91892540,[1142,795,267,51,127,88,14,14,0,2,0]],[91892540,91938487,[1129,782,236,83,141,60,13,13,0,1,0]],[91938487,91984457,[1141,858,277,70,131,88,8,10,0,3,0]],[91984457,92030450,[1189,776,217,75,103,85,16,6,0,2,0]],[92030450,92076466,[1174,790,280,72,126,77,14,11,0,2,0]],[92076466,92122505,[1196,775,257,64,114,76,11,14,0,2,0]],[92122505,92168567,[1147,803,249,65,121,73,14,16,0,0,0]],[92168567,92214652,[1179,807,259,74,115,88,14,5,0,2,0]],[92214652,92260760,[1155,791,231,65,126,97,12,11,0,2,0]],[92260760,92306891,[1152,820,250,72,119,78,11,17,0,0,0]],[92306891,92353045,[1118,821,236,65,125,76,11,14,0,1,0]],[92353045,92399222,[1099,848,265,84,139,79,11,15,0,3,0]],[92399222,92445422,[1163,817,250,76,116,68,16,7,0,1,0]],[92445422,92491645,[1165,814,257,69,131,70,5,10,0,3,0]],[92491645,92537891,[1138,777,269,74,120,84,14,13,0,1,0]],[92537891,92584160,[1137,842,289,66,119,64,15,10,0,1,0]],[92584160,92630453,[1165,803,235,60,129,84,20,11,0,2,0]],[92630453,92676769,[1142,863,251,63,119,78,11,8,0,2,0]],[92676769,92723108,[1162,847,262,64,119,76,19,13,0,1,0]],[92723108,92769470,[1174,778,273,74,123,81,14,15,0,0,0]],[92769470,92815855,[1132,810,289,72,135,82,11,14,0,5,0]],[92815855,92862263,[1133,843,259,69,106,90,11,9,0,2,0]],[92862263,92908695,[1154,824,247,79,121,89,13,11,0,1,0]],[92908695,92955150,[1122,814,259,66,128,83,15,17,0,2,0]],[92955150,93001628,[1163,788,252,77,109,75,10,2,0,2,0]],[93001628,93048129,[1137,798,266,70,128,74,8,10,0,2,0]],[93048129,93094654,[1164,787,272,74,136,77,6,13,0,1,0]],[93094654,93141202,[1191,790,253,70,122,70,11,11,0,3,0]],[93141202,93187773,[1232,811,228,84,123,87,15,12,0,1,0]],[93187773,93234367,[1176,821,245,74,102,89,9,12,0,3,0]],[93234367,93280985,[1121,803,277,73,130,80,16,8,0,3,0]],[93280985,93327626,[1166,825,251,80,127,73,7,15,0,4,1]],[93327626,93374290,[1179,805,289,69,140,85,10,17,0,1,1]],[93374290,93420978,[1175,800,249,68,145,71,9,11,0,0,0]],[93420978,93467689,[1167,855,240,77,114,63,14,16,0,3,0]],[93467689,93514423,[1175,832,247,68,119,88,15,11,0,2,0]],[93514423,93561181,[1162,815,252,57,105,87,22,18,0,1,0]],[93561181,93607962,[1141,846,264,60,103,84,10,15,0,3,0]],[93607962,93654766,[1129,842,257,83,126,77,11,14,0,4,0]],[93654766,93701594,[1160,809,241,94,117,70,11,13,0,2,0]],[93701594,93748445,[1163,850,268,61,125,69,10,11,0,4,0]],[93748445,93795320,[1173,842,212,62,121,81,11,15,0,2,0]],[93795320,93842218,[1162,847,257,71,138,88,13,12,0,1,0]],[93842218,93889140,[1167,835,258,80,124,73,11,10,0,1,0]],[93889140,93936085,[1113,885,272,72,138,102,5,9,0,0,0]],[93936085,93983054,[1177,785,246,66,136,93,11,11,0,3,0]],[93983054,94030046,[1220,804,257,71,147,78,16,12,0,2,0]],[94030046,94077062,[1190,799,294,68,129,85,11,14,0,2,0]],[94077062,94124101,[1186,795,264,61,120,88,14,16,0,3,0]],[94124101,94171164,[1173,846,245,77,132,72,14,12,0,1,0]],[94171164,94218250,[1121,830,254,77,143,86,18,6,0,4,0]],[94218250,94265360,[1171,863,233,55,134,81,15,8,0,1,0]],[94265360,94312493,[1175,850,308,60,95,70,16,7,0,2,1]],[94312493,94359650,[1170,789,280,68,126,79,19,12,0,2,0]],[94359650,94406830,[1190,806,237,59,128,95,22,12,0,1,0]],[94406830,94454034,[1146,812,294,77,130,70,10,11,0,3,1]],[94454034,94501262,[1187,837,266,72,134,74,11,17,0,2,0]],[94501262,94548513,[1221,793,274,72,126,86,9,14,0,2,0]],[94548513,94595788,[1160,827,258,67,123,80,14,16,0,1,0]],[94595788,94643086,[1180,836,244,62,144,101,13,9,0,1,0]],[94643086,94690408,[1212,838,242,66,114,77,13,16,0,3,0]],[94690408,94737754,[1185,844,233,71,120,69,14,18,0,1,0]],[94737754,94785123,[1161,850,252,80,137,84,10,8,0,2,0]],[94785123,94832516,[1181,878,235,86,141,97,15,12,0,5,0]],[94832516,94879933,[1179,856,254,80,138,84,7,9,0,1,0]],[94879933,94927373,[1222,852,248,76,112,71,15,6,0,4,0]],[94927373,94974837,[1231,879,243,68,115,62,9,18,0,1,0]],[94974837,95022325,[1191,859,244,62,125,86,11,14,0,3,0]],[95022325,95069837,[1182,807,276,76,135,62,8,11,0,2,0]],[95069837,95117372,[1179,808,265,71,136,81,13,8,0,1,0]],[95117372,95164931,[1149,827,267,61,149,84,12,17,0,4,0]],[95164931,95212514,[1189,841,266,81,130,88,10,13,0,0,0]],[95212514,95260121,[1173,857,267,78,120,66,11,8,0,1,0]],[95260121,95307752,[1204,838,258,70,130,78,11,10,0,0,0]],[95307752,95355406,[1155,839,266,63,147,72,19,14,0,1,0]],[95355406,95403084,[1202,843,243,73,131,91,6,10,0,1,0]],[95403084,95450786,[1244,824,249,73,115,86,20,8,0,4,0]],[95450786,95498512,[1202,831,275,72,152,70,9,14,0,2,0]],[95498512,95546262,[1140,870,277,81,129,81,17,13,0,3,1]],[95546262,95594036,[1203,839,267,71,116,75,13,11,0,2,0]],[95594036,95641834,[1209,795,261,57,137,72,22,13,0,2,0]],[95641834,95689655,[1118,875,296,71,131,84,14,13,0,1,0]],[95689655,95737500,[1166,842,248,76,134,81,13,12,0,1,0]],[95737500,95785369,[1165,881,235,68,122,91,13,14,0,1,0]],[95785369,95833262,[1192,876,237,84,121,74,14,15,0,1,0]],[95833262,95881179,[1221,848,255,77,126,82,17,5,0,2,0]],[95881179,95929120,[1165,836,308,61,128,87,17,9,0,2,0]],[95929120,95977085,[1190,869,294,67,120,91,12,11,0,3,0]],[95977085,96025074,[1220,817,261,72,116,73,9,11,0,0,0]],[96025074,96073087,[1169,860,264,73,117,73,15,10,0,3,0]],[96073087,96121124,[1200,875,271,77,115,68,12,10,0,3,0]],[96121124,96169185,[1201,868,251,80,136,76,13,11,0,1,0]],[96169185,96217270,[1159,823,237,77,131,77,12,11,0,0,0]],[96217270,96265379,[1199,867,287,63,107,82,15,15,0,1,0]],[96265379,96313512,[1183,863,265,56,124,76,20,9,0,0,0]],[96313512,96361669,[1173,859,266,76,137,82,12,13,0,3,0]],[96361669,96409850,[1189,923,238,70,136,75,15,9,0,0,1]],[96409850,96458055,[1224,828,240,75,136,73,12,16,0,3,0]],[96458055,96506285,[1209,853,242,75,145,67,14,10,0,3,0]],[96506285,96554539,[1188,829,254,69,134,98,14,13,0,4,0]],[96554539,96602817,[1229,810,256,79,133,91,11,22,0,2,0]],[96602817,96651119,[1238,864,259,74,133,82,12,12,0,2,0]],[96651119,96699445,[1219,871,253,76,126,92,13,10,0,3,0]],[96699445,96747795,[1203,816,274,66,119,83,6,13,0,2,0]],[96747795,96796169,[1277,854,265,63,121,65,8,13,0,2,0]],[96796169,96844568,[1164,897,279,66,115,86,6,11,0,3,0]],[96844568,96892991,[1233,849,249,55,118,88,15,20,0,1,0]],[96892991,96941438,[1201,805,263,85,133,81,16,19,0,3,0]],[96941438,96989909,[1193,885,281,76,125,82,16,7,0,2,0]],[96989909,97038404,[1264,816,255,100,116,75,14,13,0,1,0]],[97038404,97086924,[1185,878,259,82,148,68,12,10,0,1,0]],[97086924,97135468,[1184,863,269,70,126,71,8,20,0,1,0]],[97135468,97184036,[1188,848,271,77,124,87,17,20,0,1,0]],[97184036,97232629,[1142,872,274,68,95,70,16,11,0,2,0]],[97232629,97281246,[1231,861,275,80,132,89,15,11,0,3,0]],[97281246,97329887,[1209,836,272,65,134,77,16,16,0,2,0]],[97329887,97378552,[1172,885,249,76,146,84,12,11,0,0,0]],[97378552,97427242,[1233,872,260,68,124,80,16,14,0,4,0]],[97427242,97475956,[1250,896,271,57,109,72,14,12,0,1,0]],[97475956,97524694,[1262,837,293,74,129,75,14,7,0,2,0]],[97524694,97573457,[1225,882,284,65,137,79,10,17,0,2,0]],[97573457,97622244,[1233,846,288,68,112,85,14,11,0,2,0]],[97622244,97671056,[1210,881,264,69,130,81,16,14,0,3,0]],[97671056,97719892,[1227,826,247,67,133,78,11,12,0,1,0]],[97719892,97768752,[1222,844,281,84,135,92,5,11,0,0,0]],[97768752,97817637,[1197,875,281,76,123,106,18,10,0,2,0]],[97817637,97866546,[1217,860,248,65,130,89,11,16,0,1,0]],[97866546,97915480,[1240,867,252,69,136,80,17,19,0,3,0]],[97915480,97964438,[1234,825,287,66,161,89,16,9,0,2,0]],[97964438,98013421,[1159,859,278,80,118,88,12,13,0,1,0]],[98013421,98062428,[1214,869,270,71,115,84,14,8,0,2,0]],[98062428,98111460,[1193,841,289,79,116,79,19,16,0,3,0]],[98111460,98160516,[1168,868,265,89,113,91,15,13,0,4,0]],[98160516,98209597,[1211,892,261,78,125,84,10,9,0,3,0]],[98209597,98258702,[1199,885,265,76,149,84,17,16,0,1,0]],[98258702,98307832,[1215,873,267,66,142,79,17,11,0,1,0]],[98307832,98356986,[1240,856,263,76,121,86,13,7,0,2,0]],[98356986,98406165,[1234,871,266,76,112,89,10,14,0,2,0]],[98406165,98455369,[1236,902,291,50,122,87,17,9,0,2,0]],[98455369,98504597,[1204,841,279,75,139,82,13,11,0,0,0]],[98504597,98553850,[1278,818,296,77,150,80,16,11,0,3,0]],[98553850,98603127,[1248,857,247,75,141,87,14,17,0,1,0]],[98603127,98652429,[1231,879,282,71,133,61,13,16,0,3,0]],[98652429,98701756,[1184,897,250,83,112,83,17,8,0,2,0]],[98701756,98751107,[1186,877,271,67,152,93,19,14,0,3,0]],[98751107,98800483,[1178,861,270,75,124,70,16,9,0,1,0]],[98800483,98849884,[1201,922,247,69,150,93,10,13,0,3,0]],[98849884,98899309,[1199,875,298,69,107,81,10,19,0,0,1]],[98899309,98948759,[1226,877,240,56,123,68,22,9,0,2,0]],[98948759,98998234,[1184,855,283,73,125,105,16,15,0,0,0]],[98998234,99047734,[1260,903,273,88,153,84,13,9,0,2,0]],[99047734,99097258,[1226,868,263,82,134,74,20,11,0,2,0]],[99097258,99146807,[1204,901,278,60,137,78,16,10,0,2,0]],[99146807,99196381,[1190,872,260,91,122,82,21,9,0,1,0]],[99196381,99245980,[1245,863,262,76,116,80,17,15,0,2,0]],[99245980,99295603,[1174,858,287,64,149,91,16,12,0,2,0]],[99295603,99345251,[1240,895,269,73,124,65,15,16,0,2,0]],[99345251,99394924,[1195,918,251,89,148,81,16,18,0,2,0]],[99394924,99444622,[1185,866,271,66,134,84,12,16,0,6,0]],[99444622,99494345,[1244,908,289,64,144,72,12,11,0,5,0]],[99494345,99544093,[1193,878,275,78,142,84,9,9,0,3,0]],[99544093,99593866,[1221,895,256,69,158,99,13,17,0,1,0]],[99593866,99643663,[1256,940,269,95,130,77,23,11,0,3,0]],[99643663,99693485,[1201,852,288,83,139,85,11,11,0,0,0]],[99693485,99743332,[1237,846,288,67,136,84,16,10,0,1,0]],[99743332,99793204,[1225,871,258,84,119,83,12,12,0,3,0]],[99793204,99843101,[1276,857,259,63,137,101,11,12,0,3,0]],[99843101,99893023,[1246,882,261,72,136,98,21,16,0,4,0]],[99893023,99942970,[1171,899,293,87,140,77,21,13,0,2,0]],[99942970,99992942,[1237,907,268,60,139,98,16,14,0,2,0]],[99992942,100000000,[174,117,40,9,19,14,0,6,0,0,0]]],\"seconds\":22.852475343999686}\n" }, { "path": "anc/code/1.1.1/data/3723_census_blocks/metadata.json", "size_bytes": 771, "sha256": "1e5773a4ed7d05fac7052b3f67586374c6ca1d2e943bbb55444063f9c729f71e", "mode": 420, "encoding": "utf-8", "text": "{\n \"index\": 3723,\n \"polynomial_coefficients_ascending\": [\n -4096,\n -12288,\n 0,\n 16384,\n 0,\n 0,\n 0,\n 0,\n 0,\n -40704,\n 70656,\n -34560,\n 0,\n 0,\n 0,\n 0,\n 0,\n 0,\n -1344,\n -480,\n 0,\n 0,\n 0,\n 0,\n 0,\n 0,\n 0,\n 1\n ],\n \"polynomial_discriminant_prime_factors\": [\n 2,\n 3,\n 157,\n 64679,\n 333337,\n 172659335137\n ],\n \"categories\": [\n 0,\n 1,\n 2,\n 3,\n 4,\n 5,\n 7,\n 9,\n 11,\n 15,\n 27\n ],\n \"category4_definition\": \"r1=3 and r3=3\",\n \"lower_character_by_category\": [\n 0,\n -1,\n -2,\n -3,\n -1,\n -3,\n -5,\n -3,\n -5,\n -5,\n -5\n ],\n \"bin_ratio_numerator\": 10005,\n \"bin_ratio_denominator\": 10000,\n \"bin_origin\": 10000000\n}\n" }, { "path": "anc/code/1.1.1/data/3723_census_blocks/summary_10000000_110000000.json", "size_bytes": 157, "sha256": "cc4dd0df190cd77c6f9edfb62d4aecd5c55d9807375530dc55c2497d7fef7b85", "mode": 420, "encoding": "utf-8", "text": "{\n \"start\": 10000000,\n \"stop\": 110000000,\n \"block_size\": 10000000,\n \"completed_blocks\": 10,\n \"total_primes\": 5638730,\n \"seconds\": 202.43992626699946\n}\n" }, { "path": "anc/code/1.1.1/data/3723_higher_norms.json", "size_bytes": 61186, "sha256": "33d43290b5309810a6c20e00efd833aa34f48ac1c70c82e4308e84e8112801d0", "mode": 420, "encoding": "utf-8", "text": "{\"principal_cutoff\":10000000,\"support\":10000000000,\"norm_counts\":[[10004569,3],[10118761,1],[10182481,1],[10374841,1],[10621081,4],[10699441,1],[10896601,3],[10936249,1],[11015761,1],[11042329,1],[11082241,3],[11095561,1],[11377129,3],[11607649,4],[11785489,1],[11950849,3],[11978521,1],[12008989,1],[12020089,1],[12033961,1],[12117361,6],[12187081,3],[12243001,1],[12327121,4],[12369289,3],[12482089,3],[12538681,1],[12649337,4],[12652249,3],[13053769,1],[13082689,1],[13227769,3],[13271449,3],[13388281,4],[13476241,1],[13490929,3],[13520329,1],[13623481,3],[13667809,3],[13697401,3],[13756681,1],[13980121,1],[14205361,1],[14280841,1],[14600041,1],[14691889,3],[14922769,3],[15031129,3],[15062161,3],[15342889,1],[15389929,3],[15437041,3],[15578809,4],[15737089,4],[15912121,1],[16056049,1],[16394401,3],[16459249,1],[16589329,1],[16752649,1],[16900321,3],[16974593,1],[17032129,3],[17247409,4],[17297281,4],[17447329,1],[17732521,1],[17986081,3],[18088009,3],[18139081,3],[18344089,3],[18464209,1],[18826921,3],[18983449,3],[19035769,3],[19280881,1],[19465109,1],[19545241,1],[19722481,3],[19811401,3],[19902511,4],[19918369,1],[20421361,1],[20457529,3],[20857489,1],[21003889,3],[21132409,1],[21253933,1],[21353641,4],[21557449,3],[21613201,1],[21836929,1],[22005481,1],[22118209,1],[22287841,1],[22648081,1],[22877089,3],[22934521,4],[22972849,4],[23049601,3],[23203489,3],[23338561,3],[23629321,1],[23785129,3],[24137569,4],[24196561,1],[24314761,1],[24512401,3],[24671089,1],[24690961,3],[24730729,1],[24990001,4],[25230529,3],[25391521,3],[25512601,3],[25593481,1],[25775929,1],[25816561,12],[25877569,12],[26081449,1],[26142769,3],[26553409,1],[26697889,1],[26822041,1],[26925721,3],[27133681,1],[27363361,4],[27804529,1],[27888961,1],[28121809,4],[28440889,1],[28590409,3],[28629151,5],[28934443,1],[29019769,3],[29084449,3],[29149201,3],[29235649,3],[29365561,12],[29604481,12],[29626249,4],[29691601,12],[29997529,3],[30019441,12],[31058329,1],[31147561,1],[31798321,3],[31888609,3],[31956409,3],[32296489,1],[32364721,1],[32410249,1],[32913169,4],[32959081,3],[32982049,3],[33396841,1],[33443089,1],[33535681,1],[34093921,1],[34210801,3],[34234201,3],[34351321,3],[34586161,1],[35081929,1],[35129329,3],[35438209,1],[36264691,1],[36445369,3],[36517849,3],[36566209,4],[36808489,3],[37075921,3],[37100281,1],[37222201,1],[37736449,3],[37834801,1],[38105929,1],[38477209,12],[38651089,4],[38700841,3],[39025009,1],[39325441,4],[39526369,1],[39702601,12],[39828721,3],[39980329,1],[40233649,4],[40691641,3],[40819321,3],[41589601,1],[41847961,1],[41899729,1],[42863209,1],[42915601,3],[43546801,3],[43986977,4],[44049769,4],[44368921,1],[44769481,1],[44903401,1],[45387169,1],[46280809,3],[46689889,3],[46799281,1],[47183161,1],[47210641,1],[47375689,3],[47761921,1],[48288601,12],[48539089,4],[48874081,3],[49182169,1],[49603849,1],[49801249,12],[50452609,1],[50794129,1],[50822641,1],[51136801,1],[51251281,3],[51652969,3],[51895117,1],[51940849,3],[52027369,1],[52374169,3],[52519009,3],[53042089,1],[53392249,1],[53597041,3],[53743561,3],[54302161,3],[55011889,3],[55249489,1],[55905529,1],[55965361,3],[56181887,4],[56235001,3],[56595529,1],[56685841,12],[56987401,1],[57138481,1],[57350329,1],[57410929,1],[57501889,1],[57623281,1],[57805609,4],[58354321,1],[58415449,3],[58507201,1],[58813561,10],[58863869,1],[58997761,3],[59151481,1],[59336209,3],[59552089,12],[59644729,1],[60171049,1],[61199329,1],[61293241,3],[61481281,3],[61889689,1],[61984129,1],[62047129,4],[62078641,4],[62141689,3],[62425801,1],[62570773,1],[62932489,3],[63888049,1],[64144081,3],[64625521,1],[64850809,3],[64947481,4],[65108761,3],[65399569,3],[65626201,1],[65788321,1],[65885689,1],[66373609,3],[66601921,3],[66699889,3],[66896041,1],[67551961,1],[67749361,1],[67782289,1],[68277169,3],[68376361,3],[68773849,1],[69343957,5],[69372241,3],[69772609,12],[69939769,1],[70174129,1],[70375321,1],[70879561,1],[71048041,1],[71284249,1],[71351809,1],[72267001,1],[72607441,1],[72880369,3],[73324969,3],[73496329,1],[74114881,1],[74770609,3],[75047569,12],[75568249,1],[75811849,1],[76405081,3],[76510009,1],[76615009,1],[76755121,1],[77774761,1],[77810041,1],[78092569,3],[78517321,1],[78623689,1],[78978769,3],[79085449,1],[79798489,3],[79941481,3],[80335369,3],[80442961,3],[80478841,1],[81018001,12],[81126049,3],[81198121,1],[81234169,3],[81522841,1],[81739681,3],[81775849,1],[82210489,1],[82646281,1],[82973881,3],[83850649,1],[84290761,3],[84604519,1],[84621601,12],[85026841,1],[85692049,1],[86174089,12],[86843761,1],[87254281,4],[87291649,3],[87403801,1],[87928129,1],[88190881,1],[88303609,1],[88416409,4],[88755241,12],[89548369,3],[89851441,1],[90079081,3],[90649441,1],[91145209,4],[91221601,1],[92409769,1],[92525161,4],[92602129,1],[92756161,1],[93103201,4],[93334921,4],[94458961,12],[94731289,3],[95043001,1],[95394289,1],[95433361,1],[95443993,2],[95667961,1],[95863681,1],[96098809,1],[96609241,1],[96805921,1],[97042201,1],[97199881,1],[97972181,1],[98148649,1],[98982601,1],[99252847,1],[99460729,1],[100140049,3],[101344489,4],[101828281,12],[101868649,3],[101989801,1],[102232321,3],[102799321,1],[103042801,4],[103205281,4],[104509729,1],[105001009,1],[105247081,3],[105411289,1],[105534529,1],[106110601,1],[106357969,1],[106523041,3],[107267449,1],[108139201,1],[108764041,1],[110859841,3],[112126921,3],[112296409,3],[112381201,1],[112508449,1],[112635769,3],[112933129,1],[113018161,1],[113188321,1],[114211969,1],[114297481,3],[115111441,4],[115856201,5],[116402521,3],[117440569,3],[117657409,3],[118091689,1],[118370771,1],[119661721,3],[119880601,1],[120538441,4],[120714169,3],[121594729,1],[122036209,1],[122257249,1],[122301481,3],[122832889,1],[123632161,1],[125731369,1],[126315121,1],[127667401,3],[127938721,1],[128074489,1],[128346241,3],[129937201,3],[130210921,1],[131492089,3],[131997121,3],[132043081,1],[133379401,1],[133425601,3],[134490409,1],[134954689,3],[135885649,1],[136352329,3],[136445761,3],[136913401,3],[137288089,3],[137334961,1],[138697729,1],[138744841,1],[139546969,1],[140161921,1],[140825689,1],[141158161,2],[141300769,1],[141824281,1],[142587481,1],[143256961,1],[143304841,3],[143544361,1],[144168049,3],[144889369,3],[145178401,4],[145757329,1],[146337409,1],[146579449,4],[146724769,1],[146870161,1],[147452449,1],[147792649,3],[148766809,1],[149842081,3],[150136009,3],[150381169,12],[150528361,1],[150724729,1],[150822961,3],[151856329,4],[152349649,3],[153091129,3],[153190129,1],[153239641,4],[153983281,3],[154082569,1],[154281241,3],[154579489,3],[155027401,4],[155575729,3],[155725441,1],[155925169,1],[156025081,1],[156325009,1],[156675289,1],[157577809,3],[157979761,1],[158482921,3],[159794881,3],[159946609,3],[160098409,4],[160554241,1],[161010721,3],[161213809,3],[162282121,1],[162384049,3],[162894169,1],[163047361,2],[163353961,1],[164378041,1],[164583241,1],[164891281,3],[166693921,1],[167003929,1],[167935681,1],[168143089,3],[169026001,1],[169234081,1],[169859089,3],[169963369,4],[170119849,1],[170641969,4],[171426649,1],[171845881,1],[172160641,1],[172843609,1],[173633329,1],[173791489,3],[174741961,1],[175536001,1],[176650681,1],[176810209,3],[177129481,3],[177235969,1],[177928921,3],[178453547,2],[178676689,1],[179051161,1],[179479609,1],[179854921,1],[180660481,1],[181413961,3],[182223001,3],[183683809,1],[184063489,4],[184334929,1],[185477161,4],[185695129,1],[186841561,3],[187169761,4],[187333969,4],[187443481,3],[187498249,1],[187991521,1],[188265841,1],[188320729,3],[188485441,1],[189420169,3],[190136521,4],[192571129,1],[193404649,1],[194072761,3],[194128489,1],[194965369,3],[195077089,1],[195972001,3],[196308121,3],[196812841,3],[197430601,1],[197993041,1],[198330889,3],[198443569,1],[199007449,1],[200194201,3],[200307409,1],[200873929,1],[200987329,3],[201838849,1],[202236841,3],[202863049,4],[203034001,4],[204289849,3],[205091041,1],[205262929,1],[205836409,3],[207043321,1],[207907561,1],[208022929,1],[208253761,1],[208527857,1],[208715809,4],[209641441,1],[210337009,3],[210801361,12],[212022721,1],[213773641,1],[213949129,3],[214124689,1],[214300321,12],[216060601,1],[216472369,3],[216590089,3],[216766729,3],[217002361,1],[217081801,1],[217179169,6],[217474009,1],[218418841,1],[218537089,1],[218951209,1],[219662041,4],[220552201,12],[221027689,1],[221087161,3],[221384641,1],[221622769,1],[221741881,10],[221920609,3],[223532401,1],[223711849,1],[224070961,3],[225930961,3],[226833721,3],[227195329,4],[228221449,3],[229345007,3],[229492201,1],[229855921,1],[231009601,4],[231557089,4],[231861529,3],[232959169,3],[233203441,1],[235591801,3],[235960321,3],[237176659,2],[237190801,1],[237992329,1],[238362721,4],[238486249,3],[239042521,12],[239228089,1],[240033049,3],[240591121,6],[242393761,1],[243578449,1],[243953161,3],[244265641,3],[244703449,1],[244828609,4],[244891201,1],[245956489,3],[247653169,3],[249355681,1],[249734809,1],[250367329,4],[251507881,3],[252396769,1],[252841801,1],[253223569,1],[256032001,1],[257057089,1],[257827249,1],[257955721,1],[258148489,4],[258341329,3],[259564321,1],[260080129,1],[260467321,1],[260531881,3],[261889489,1],[262018969,1],[262083721,1],[263445361,1],[264030001,1],[264810529,10],[266766889,3],[266962921,1],[267289801,1],[267682321,12],[267747769,3],[269320921,1],[269649241,1],[270503809,1],[270635401,1],[270840023,9],[272019049,3],[273207841,1],[274266721,1],[274664329,1],[275659609,1],[275792449,1],[276191161,3],[276590161,1],[277255801,4],[278589481,1],[280462009,1],[280864081,1],[281803369,4],[282609721,3],[283013329,3],[283282561,1],[283686649,3],[284630641,4],[286658761,3],[286861969,3],[288286441,1],[288354361,1],[288558169,1],[288762049,3],[289918729,1],[289986841,1],[290123089,1],[290395681,1],[291623929,1],[292170649,1],[293197129,1],[294431281,1],[295943209,1],[297183121,1],[297804049,1],[298978681,4],[299878489,1],[300017041,1],[300710281,3],[301334881,1],[302516449,4],[303351889,1],[305235841,1],[305445529,1],[305935081,3],[306145009,1],[306565081,1],[309091561,4],[310076881,1],[311769649,3],[311840281,1],[312193561,3],[312617761,1],[312688489,3],[314317441,3],[315453121,3],[317801929,1],[318658201,3],[319086769,1],[321162241,4],[321233929,1],[321807721,1],[322453849,3],[322956841,1],[323532169,1],[324468169,1],[325694209,1],[325766401,3],[326199721,1],[328298161,3],[328370641,4],[328588129,4],[328805689,1],[329168449,12],[329939371,1],[330112561,4],[330548761,1],[330912481,1],[331203601,1],[331640521,12],[332077729,1],[332296441,1],[332442289,1],[333099001,3],[333318049,3],[334487521,1],[336832609,1],[337493641,1],[339775489,3],[340144249,1],[340439401,3],[340660849,1],[341547361,1],[341991049,3],[342361009,3],[343101529,1],[343768681,1],[344472101,1],[345327889,3],[347337769,1],[350176369,1],[350400961,3],[350850361,3],[351300049,3],[351525001,1],[351825049,3],[352275361,5],[352425529,3],[352951369,1],[355661881,1],[356400829,5],[357172201,1],[357625921,1],[357852889,3],[359443681,1],[361494169,4],[362178961,3],[362940601,1],[364008241,1],[364084561,4],[364313569,1],[366301321,3],[366377881,1],[366990649,1],[369139369,3],[369831361,1],[370062169,3],[370524001,1],[371217289,1],[372528601,1],[373223761,3],[373764889,1],[375313129,1],[375545641,1],[376010881,1],[377252929,1],[377641489,1],[378574849,1],[378808369,12],[379041961,1],[379353529,1],[379587289,1],[379821121,3],[381850681,1],[381928849,1],[382554481,3],[383024041,3],[383258929,1],[383493889,3],[384240583,5],[386554921,3],[387971809,1],[388444681,3],[388760089,1],[390102001,1],[390418081,3],[394141609,1],[394459321,3],[394697689,3],[395572321,1],[395651881,1],[397085329,1],[398441521,1],[398521369,1],[399720049,1],[400440121,4],[401882209,4],[402042601,3],[402523969,1],[405176641,1],[405740449,10],[406949929,3],[407353489,1],[409293361,1],[410508121,1],[410832361,1],[413186929,4],[413430889,1],[413756281,3],[414896161,1],[415874449,1],[416119201,4],[416445649,3],[417425761,3],[417916249,3],[419553289,1],[420619081,1],[422014849,3],[422261401,4],[425473129,3],[428200249,1],[429276961,1],[429774361,1],[430272049,1],[430521001,1],[431434441,1],[432182521,4],[433014481,1],[434680801,1],[436266769,10],[437688241,3],[438023041,1],[438441721,1],[439279681,3],[440202361,3],[441546169,3],[441966529,1],[442302961,3],[443818489,1],[445252201,3],[446857321,1],[447026449,1],[447280201,1],[451435009,4],[452370361,1],[452710729,3],[452966089,3],[454243969,1],[454414489,1],[454670329,3],[454756609,1],[455694409,3],[457061641,1],[458259649,1],[459373489,1],[461433361,1],[461691169,1],[461863081,1],[461949049,1],[462207001,3],[462379009,1],[463153441,1],[463497841,1],[464704249,1],[466084921,3],[466516801,1],[466603201,1],[467035321,3],[468679201,1],[469718929,3],[470933401,1],[471454369,3],[472062529,1],[473367049,1],[473802289,3],[474063529,1],[475196401,1],[475370809,1],[476156041,1],[477990769,3],[478778161,4],[481495249,1],[482988529,1],[484132009,1],[484572169,1],[485188729,1],[485629369,1],[486952489,4],[487482241,1],[488807881,3],[488896321,3],[489692641,1],[490489609,1],[490755409,3],[491553241,1],[492351721,1],[494929009,3],[495463081,4],[496086529,1],[496353841,1],[496532089,3],[496888681,1],[497423809,1],[497602249,1],[499477801,1],[500282689,1],[500372161,4],[501356881,12],[502163281,4],[503239489,3],[505485289,3],[506261573,4],[506745121,4],[508096681,1],[511347769,1],[511709641,1],[512433769,3],[512705449,4],[513067801,3],[513883561,1],[515698681,1],[516062089,3],[516516529,1],[518791729,3],[520341721,1],[520615489,3],[522259609,3],[522533881,3],[522625321,1],[524455801,3],[524730649,3],[527299369,1],[527758729,3],[529138009,3],[529782289,1],[529966441,3],[530242729,10],[530334841,1],[530795521,3],[531440809,1],[531625249,1],[533009569,1],[533411731,1],[534395689,1],[536709889,1],[536987929,1],[537729721,3],[538657681,1],[541446361,1],[542563849,3],[543869041,1],[544428889,1],[544708921,1],[546110161,12],[549761809,3],[552109009,4],[553990369,1],[554084521,4],[555214969,1],[556912801,1],[557101609,3],[557384881,4],[558046129,1],[558518689,1],[559937569,4],[560600329,1],[561073969,3],[561168721,3],[564205009,1],[564870289,1],[565155529,1],[565609283,1],[565916521,4],[566487601,1],[567058969,3],[567344761,3],[567725929,1],[568011889,4],[569729161,1],[569920129,1],[570206641,1],[570588769,1],[570875449,3],[571162201,3],[571735921,1],[574608841,12],[575664049,1],[578065849,4],[578931721,1],[579701929,1],[579990889,3],[580376281,1],[580954609,1],[581243881,1],[582401689,1],[585494809,1],[585785209,3],[586753729,3],[587529121,4],[589566961,3],[591316489,3],[591900241,3],[592289569,3],[593945641,3],[594823321,1],[594920881,4],[595994569,3],[596385241,3],[597264721,4],[597460249,3],[598927729,3],[599319361,1],[601573729,1],[603734041,3],[606292129,1],[608954329,3],[612513001,1],[613206169,1],[613404289,4],[615486481,4],[616082041,3],[617075281,1],[617572201,4],[617969881,3],[620856889,12],[620956561,1],[622153249,1],[623351089,3],[624450121,3],[626851369,3],[627853249,1],[628655329,1],[629422793,4],[629859409,1],[630562321,1],[630863689,1],[632673409,3],[633176569,1],[633478561,4],[633839779,1],[634183489,1],[635997961,1],[636906169,3],[638118121,12],[640241809,3],[640444249,4],[640545481,1],[642571801,3],[643789129,1],[645718921,1],[646328929,4],[647549809,1],[651423529,1],[653364721,1],[654285241,1],[655411201,3],[655820881,1],[656435641,4],[657050689,1],[657358321,12],[659102929,3],[660644209,4],[661364089,3],[662599081,1],[665588401,1],[666620761,3],[668170801,4],[669412129,3],[671483569,3],[673039249,3],[674526133,1],[675948001,1],[676156009,1],[678758809,3],[680322889,1],[681157801,3],[681575449,1],[681888769,1],[683351881,3],[683979409,3],[684397921,1],[684921241,1],[685863721,3],[689745169,3],[689955289,3],[692163481,3],[694691449,1],[696907201,3],[697857889,3],[697864103,1],[698174929,4],[700078681,3],[701137441,1],[702091009,3],[702939169,4],[704318521,3],[707400409,3],[709742881,1],[711235561,3],[711875761,3],[711982489,4],[713584369,3],[713798089,1],[714546361,3],[714867169,1],[718936969,1],[720009889,3],[720868801,1],[722480641,3],[724740241,4],[726140809,1],[726464209,1],[727974361,1],[728622049,1],[729918289,1],[732189481,12],[732297721,1],[735874129,1],[738698041,3],[739350481,1],[740438521,1],[741963121,4],[742726009,1],[746874241,1],[748952689,10],[753886849,3],[755535169,1],[756058031,1],[756745081,1],[757735729,3],[757845841,1],[758396521,1],[759057601,3],[760821889,1],[762367321,3],[762698689,3],[764688409,1],[767123809,3],[767345401,4],[769119289,1],[769452121,3],[769674049,3],[770007001,1],[771006289,1],[771339529,1],[772339681,1],[772450849,1],[774119329,1],[774341929,3],[775455409,1],[775678201,4],[777461689,1],[778465801,3],[779470561,1],[781370209,3],[781817521,3],[783832009,1],[784056001,1],[785736961,3],[789441409,1],[789553801,3],[790115881,3],[795296401,12],[795860521,10],[796876441,1],[799701841,3],[800267521,3],[801286249,1],[801399481,1],[806162449,4],[806730409,1],[808208041,1],[808776721,10],[810142369,1],[812193001,3],[812991169,4],[814360369,12],[814588681,1],[815045401,3],[816302041,1],[817788409,1],[819047161,1],[821223649,3],[821452921,1],[821567569,1],[823862209,1],[825010729,3],[826735009,1],[827770441,3],[828806521,3],[830188969,3],[830419489,3],[831918649,3],[832841881,1],[833996641,3],[837118489,3],[838044601,1],[838739521,1],[839782441,1],[841522081,3],[841986289,3],[842334529,1],[842915089,1],[844425481,1],[844596301,3],[846868201,1],[848149129,4],[848498641,4],[848964769,4],[849547609,1],[851063929,1],[851414041,4],[852698401,1],[853866841,1],[855621001,1],[856674361,1],[860424889,4],[861246409,1],[863360689,10],[863595769,3],[863713321,1],[864301201,3],[865006921,3],[865523177,1],[866066041,1],[866890249,1],[867479209,12],[869247289,1],[870309001,1],[871843729,1],[872079961,1],[872434369,3],[874207489,1],[875390569,4],[876811321,3],[878588881,1],[879893569,1],[880249561,3],[883100089,1],[883456729,1],[885241009,1],[885598081,3],[885717121,1],[888218809,3],[890246569,3],[891082201,3],[892396129,12],[892754641,1],[895026889,1],[896822809,1],[898980289,4],[900660121,3],[900780169,1],[903543481,1],[904265041,3],[905347921,1],[906190609,4],[906551881,1],[906792769,1],[907154161,1],[908359321,1],[910168561,3],[910892761,1],[911254969,12],[912221209,1],[913429729,1],[914518081,3],[915244009,1],[915498611,1],[917665849,1],[918877969,1],[919241761,4],[920576281,1],[922154689,1],[923491321,3],[924342409,1],[929701081,3],[929823049,3],[930799081,1],[933852481,3],[935931649,1],[938625769,3],[939361201,1],[940096921,3],[940710241,4],[941814721,1],[942305809,1],[946977529,1],[947469961,3],[948824809,4],[949687489,3],[949862087,1],[950427241,3],[951784201,1],[955489921,1],[956726761,12],[957840601,1],[959202841,1],[964909969,1],[966028561,1],[968516641,3],[968641129,4],[970509409,3],[972753721,1],[973242271,4],[976375009,4],[976500001,1],[976750009,3],[977125081,1],[977875441,3],[978250729,1],[981005041,1],[981756889,1],[982007569,1],[985394881,1],[990297961,1],[991053361,1],[991557121,1],[993069169,3],[994960849,3],[996854329,3],[1000267129,4],[1001659201,12],[1002165649,1],[1004065969,1],[1009396441,1],[1014995881,1],[1022272729,1],[1023424081,1],[1024576081,1],[1025728729,1],[1025856841,4],[1027243729,1],[1027266601,1],[1027651249,1],[1028933929,1],[1030345801,1],[1031501689,3],[1033172449,1],[1035101929,3],[1035745489,1],[1038966289,1],[1039224169,4],[1043096209,1],[1043483809,1],[1043871481,1],[1044647041,4],[1044776329,1],[1045940281,3],[1047104881,3],[1047881641,1],[1050472921,3],[1050602569,4],[1051250929,1],[1052418481,4],[1054885441,3],[1056055009,1],[1056445009,1],[1058265961,1],[1058396089,1],[1058656369,1],[1060348969,1],[1060739761,3],[1064912689,1],[1068832249,1],[1070402089,1],[1073283121,2],[1074462841,3],[1075118521,1],[1075643209,4],[1076036809,1],[1078399921,1],[1078662649,3],[1081554769,1],[1083002281,1],[1083133921,3],[1085109481,3],[1086954961,1],[1089858169,1],[1090518529,1],[1090914841,1],[1092236401,1],[1094484889,3],[1095014281,1],[1095912791,1],[1096470769,1],[1096868161,3],[1098856201,3],[1100978761,3],[1101642481,4],[1102302937,1],[1102439209,1],[1108157521,3],[1108956601,1],[1110022489,4],[1110955561,3],[1112422609,1],[1116161281,3],[1119370849,1],[1120843441,4],[1121622319,1],[1121781049,1],[1122451009,3],[1124462089,1],[1125401209,1],[1126877761,1],[1128086569,1],[1128220921,1],[1128892801,1],[1131447769,4],[1131716881,1],[1134275041,1],[1135892209,1],[1138320121,3],[1139130001,12],[1139535049,1],[1140345361,1],[1140615529,4],[1141831681,1],[1144401241,3],[1145890201,1],[1146296449,1],[1146702769,1],[1148464321,3],[1151719969,4],[1153349521,4],[1158108961,1],[1158245089,3],[1158653521,1],[1164652129,4],[1164788641,3],[1165607881,1],[1166837281,4],[1167657241,1],[1170392521,1],[1170803089,1],[1171761361,4],[1173268009,12],[1173679081,1],[1175324089,1],[1176695809,3],[1177793761,3],[1180678321,12],[1182053161,3],[1183566409,4],[1186044721,1],[1188249841,1],[1191147169,1],[1192804369,1],[1195983889,3],[1196398921,1],[1196537281,4],[1199306161,1],[1200553201,1],[1202216929,1],[1203187969,1],[1203604249,3],[1205547841,1],[1207354009,1],[1208049049,4],[1208188081,1],[1208466169,1],[1211527249,1],[1212362761,4],[1213895281,3],[1214034649,1],[1214313409,1],[1215986641,3],[1216405129,1],[1216823689,1],[1218917569,1],[1221432601,1],[1222271521,1],[1222411369,1],[1226610529,1],[1228712809,12],[1229834761,3],[1230676561,1],[1230816889,3],[1231237921,3],[1233203689,1],[1234046641,1],[1234889881,1],[1240941529,1],[1242633001,3],[1243056049,3],[1243761289,1],[1244748961,3],[1246866721,1],[1247714329,3],[1247996929,1],[1249834609,10],[1250541769,1],[1252664449,3],[1253655649,1],[1259611081,3],[1260889081,1],[1263304849,3],[1265153761,1],[1266719281,4],[1267146409,1],[1272420241,4],[1276561441,1],[1276704361,3],[1278277009,1],[1278706081,1],[1279564441,1],[1284433921,1],[1286585161,1],[1288594609,3],[1289599921,1],[1291180489,3],[1293337369,1],[1294344529,10],[1294776289,1],[1296504049,3],[1297224289,3],[1300828489,3],[1301261329,3],[1303859881,3],[1305751357,1],[1306894801,1],[1307617921,3],[1309498969,1],[1311671089,3],[1312540441,1],[1313410081,1],[1314135001,1],[1315440361,1],[1320668281,4],[1324159321,1],[1331739049,1],[1334221729,3],[1334367841,4],[1335244681,4],[1335975601,4],[1338315889,1],[1338608569,3],[1342269769,1],[1342709449,1],[1343442409,3],[1346229481,1],[1354902481,3],[1355786041,3],[1356669889,1],[1357701409,1],[1360650769,3],[1361536201,3],[1361683801,1],[1363012561,3],[1363307929,1],[1363751041,3],[1363938029,1],[1364785249,3],[1367002729,1],[1367446441,1],[1372628401,3],[1378117129,1],[1379305321,1],[1380791281,3],[1381683241,4],[1382426761,3],[1383021721,3],[1385551729,3],[1389276529,1],[1392857041,4],[1394200921,1],[1395545449,1],[1395844321,1],[1397189641,1],[1399433281,1],[1400480929,1],[1401828481,1],[1404975289,1],[1405425121,1],[1405725049,3],[1406775049,1],[1407075121,4],[1409777209,1],[1411580041,1],[1412181241,1],[1412932921,4],[1413083281,3],[1414286449,12],[1415189161,1],[1416247867,1],[1417447201,1],[1418049649,3],[1420762249,3],[1424836009,1],[1427555089,3],[1429671721,3],[1429822969,1],[1431184561,1],[1432395409,1],[1433455321,4],[1436182609,1],[1436940649,3],[1440278401,1],[1443012169,1],[1443316081,3],[1444836121,1],[1448030809,3],[1449248761,1],[1455346201,4],[1459316401,3],[1461609361,3],[1462221121,3],[1465894369,3],[1467119809,1],[1468192489,1],[1468499041,12],[1468958929,1],[1469112241,1],[1469418889,1],[1470799201,1],[1474022449,4],[1478325601,1],[1479248521,1],[1482327001,1],[1485562849,10],[1486642249,3],[1487413489,1],[1489419649,1],[1490654881,12],[1492199641,1],[1492972321,1],[1495910329,1],[1497148249,1],[1499470729,10],[1499935441,3],[1501330009,3],[1501485001,1],[1507070041,1],[1510177321,1],[1512509881,1],[1513443409,4],[1514532889,4],[1514844241,1],[1517336209,4],[1517803681,1],[1518738841,1],[1522482361,1],[1522794529,1],[1524355849,1],[1524845951,9],[1527168241,3],[1527949921,3],[1529357449,3],[1531391689,3],[1531861321,4],[1532808577,1],[1533270649,1],[1533583921,1],[1535934481,1],[1536561601,3],[1537345681,1],[1538914441,3],[1543939849,3],[1545511969,3],[1546298329,1],[1550075641,1],[1552123609,1],[1553069281,3],[1556381401,1],[1566655561,1],[1568239201,2],[1570616161,4],[1572836281,1],[1573470889,4],[1573788241,1],[1577598961,4],[1579983001,1],[1581573361,1],[1583323681,1],[1587305281,1],[1589058769,1],[1590175129,1],[1590972769,1],[1594325041,1],[1597680841,1],[1598320441,1],[1598640289,1],[1599120121,12],[1601040169,3],[1602480961,1],[1602961369,3],[1603121521,1],[1606967569,4],[1607448649,1],[1607929801,12],[1608892321,1],[1610176129,4],[1614191329,1],[1623203521,3],[1629010321,1],[1634018929,4],[1634342329,1],[1634504041,1],[1636930681,1],[1637901841,1],[1642761961,1],[1645032481,1],[1647629281,1],[1648116409,3],[1650553129,1],[1651365769,1],[1651528321,1],[1655920249,1],[1659666121,1],[1660644001,3],[1663579369,1],[1665700969,1],[1666517329,1],[1668640801,1],[1668967609,1],[1673055409,3],[1676001721,1],[1677803521,3],[1681902121,1],[1682394289,1],[1684856209,1],[1687648561,3],[1690278769,1],[1690607689,4],[1695710041,1],[1697522401,1],[1697687209,3],[1697936057,4],[1699665529,4],[1699995361,1],[1702635169,1],[1705607401,1],[1709905201,3],[1712387161,3],[1712883769,4],[1713049321,1],[1717522249,1],[1720507441,1],[1721503081,1],[1722831049,1],[1723827361,1],[1725488521,1],[1728813241,3],[1733972881,1],[1734472609,1],[1737305761,3],[1737805969,3],[1740474961,1],[1744816441,10],[1745317729,1],[1750836649,1],[1753850641,1],[1754520769,3],[1755023449,1],[1756531921,3],[1759550809,1],[1760557681,1],[1765428289,3],[1769969041,3],[1770137329,1],[1771483921,3],[1777212649,12],[1778224561,1],[1780249249,3],[1782781729,3],[1784133121,1],[1787682961,1],[1787852089,3],[1788697849,1],[1791913561,3],[1792421569,1],[1793437801,3],[1798353649,3],[1800559489,3],[1801408249,3],[1802087401,1],[1802596849,3],[1802936521,1],[1803106369,1],[1806165001,3],[1807015081,1],[1809056089,3],[1812290041,1],[1813822921,3],[1815697321,1],[1818254881,1],[1820472889,1],[1821326329,1],[1821838489,1],[1823033809,3],[1823375401,1],[1825596529,3],[1826451169,1],[1826964049,1],[1827648001,3],[1834323241,1],[1835179921,3],[1843585969,3],[1845647521,1],[1847194441,1],[1850118169,3],[1850634361,1],[1853388601,4],[1854421969,3],[1857006649,1],[1859075689,1],[1860455689,1],[1862699281,1],[1864253329,1],[1865289721,4],[1865409391,1],[1866326401,1],[1866844849,3],[1871514121,1],[1876015969,4],[1877575561,1],[1883299609,3],[1883473201,1],[1883820409,12],[1888510849,3],[1890597361,3],[1892819053,4],[1895818681,12],[1895992849,3],[1898606329,4],[1898954929,3],[1900698409,3],[1901570449,3],[1902093769,1],[1905235201,3],[1905409801,1],[1906981561,1],[1911176089,3],[1914850081,1],[1916775961,4],[1917301369,4],[1917826849,1],[1923085609,1],[1924313689,12],[1926244321,1],[1930108489,1],[1931690401,1],[1932569521,1],[1938552841,1],[1942253041,3],[1946486161,1],[1947368641,1],[1947545161,4],[1951077241,1],[1951784041,1],[1952667721,12],[1953728401,3],[1954258849,4],[1957974001,3],[1959213169,1],[1959744361,1],[1960806961,3],[1970383321,1],[1975713601,10],[1980339001,3],[1983188089,3],[1984078849,1],[1984613401,1],[1988000569,1],[1992104689,1],[1992818881,1],[1993354609,1],[1994247649,1],[1996927969,4],[2002831009,1],[2004442441,4],[2006054521,3],[2010535921,3],[2013047689,3],[2014124641,4],[2014842769,1],[2015381449,3],[2017536889,3],[2020772209,4],[2021311681,3],[2025630049,1],[2026170169,1],[2032476889,1],[2035904641,1],[2039515921,1],[2041142041,3],[2042768809,1],[2047291009,4],[2048377081,1],[2051093521,1],[2053630489,1],[2053811761,4],[2054718241,1],[2055806281,1],[2059072129,3],[2060161321,3],[2061432409,1],[2062340569,1],[2063612329,3],[2069431081,4],[2069977009,1],[2070523009,1],[2072343529,1],[2075075809,3],[2075440249,3],[2076533761,1],[2079268801,1],[2080545769,3],[2082440933,1],[2084744281,12],[2085474889,1],[2086022929,4],[2087667481,1],[2088215809,3],[2089129849,1],[2091873169,1],[2093154001,1],[2094252169,1],[2103414769,1],[2103965161,1],[2106167449,3],[2110759249,3],[2112229681,1],[2114988121,3],[2117932441,4],[2118484729,1],[2120510401,4],[2121615721,4],[2124380281,1],[2125117801,4],[2133238969,3],[2137860169,1],[2140080121,1],[2141700569,2],[2144523481,1],[2147117569,1],[2156580721,1],[2156766481,1],[2157323809,4],[2159553841,4],[2160111529,1],[2161227121,3],[2168485489,1],[2173331161,1],[2174636689,1],[2176129201,1],[2177435569,1],[2178929041,3],[2180049481,1],[2181170209,3],[2181825073,4],[2183412529,1],[2185656001,1],[2187339361,3],[2187526441,3],[2191269721,12],[2192955241,1],[2195953321,3],[2197453129,1],[2199703801,3],[2204959849,12],[2212245127,5],[2214361249,3],[2217185569,3],[2217750649,1],[2222462449,4],[2223028201,1],[2229822841,1],[2231334169,1],[2232657001,3],[2243253769,3],[2244959161,1],[2245527769,1],[2245717321,1],[2247423649,4],[2248371889,1],[2248561561,1],[2255395081,1],[2256915049,3],[2260336849,1],[2262238969,1],[2265664801,3],[2266616881,1],[2267950129,3],[2270808409,1],[2275194601,1],[2276530369,4],[2278821169,1],[2282641729,3],[2282832841,1],[2286656761,4],[2290292449,3],[2291441161,1],[2292590161,1],[2297572489,1],[2300449369,3],[2302176361,1],[2306784841,1],[2308706401,1],[2311590241,1],[2312744281,1],[2315438161,1],[2316593161,1],[2319096649,3],[2321986969,1],[2322950809,4],[2325264841,1],[2327001121,1],[2327773009,1],[2332793401,3],[2334145969,1],[2336852281,1],[2343818569,1],[2348662369,3],[2349631729,3],[2350407361,1],[2350989169,3],[2351377081,4],[2355452089,3],[2357947691,3],[2358364969,1],[2363807161,1],[2364196129,3],[2366530609,1],[2369450329,1],[2374710361,1],[2378220289,1],[2380171369,1],[2381342401,1],[2382318481,3],[2383099489,3],[2383490041,1],[2387201881,1],[2388179161,3],[2388374641,1],[2390134321,1],[2391894649,3],[2398354729,1],[2401882081,1],[2402862361,1],[2404627369,3],[2408944561,1],[2411104609,1],[2413069129,1],[2417590561,3],[2420541601,1],[2420738401,1],[2421328849,3],[2426646121,1],[2431180249,1],[2433744889,4],[2436705769,4],[2437100689,3],[2439470881,1],[2441249281,1],[2443226041,3],[2443621489,4],[2445401401,4],[2446588369,4],[2448369361,4],[2450151001,3],[2452527529,1],[2453121841,1],[2453914369,3],[2454905209,1],[2461449769,1],[2462839129,1],[2466810889,1],[2468201761,3],[2471183521,1],[2473968121,1],[2475759049,1],[2478347089,1],[2478745369,1],[2480737249,3],[2485321609,1],[2487116641,1],[2489111881,1],[2491906561,1],[2493903721,10],[2495701849,3],[2499300049,1],[2502100441,1],[2502300529,1],[2504702209,3],[2505302809,3],[2507705929,3],[2509308649,3],[2511914161,1],[2513117161,1],[2514721609,1],[2515925281,1],[2520742849,3],[2521008881,4],[2522148841,3],[2526168121,1],[2526369169,4],[2527374529,1],[2528782369,3],[2532203041,1],[2534216281,3],[2536028881,1],[2538446689,1],[2541268921,4],[2544294481,10],[2546110681,4],[2549947009,4],[2554190521,1],[2554497863,2],[2555201401,1],[2559449281,1],[2559651649,1],[2560258801,4],[2563093129,1],[2565523801,1],[2571199849,4],[2574649081,1],[2577897529,3],[2582774041,4],[2585620801,3],[2587451689,1],[2596615849,3],[2597838961,1],[2598042841,3],[2599878121,1],[2604162961,1],[2607225721,1],[2608247041,3],[2614379161,1],[2620723249,1],[2624410441,1],[2625435121,1],[2630356369,1],[2632408249,1],[2633789341,1],[2636719801,1],[2640212689,4],[2642679649,3],[2643913561,1],[2645970721,1],[2646999601,1],[2650087441,3],[2650293361,1],[2650911169,1],[2652559009,3],[2656268521,3],[2658742969,1],[2662456801,1],[2665760161,1],[2677959001,3],[2690393161,10],[2690600641,1],[2693506201,1],[2694336649,1],[2696621041,1],[2698698601,3],[2700984841,3],[2701608529,3],[2703064081,3],[2704936081,1],[2706184441,3],[2709931249,3],[2710972489,3],[2711180761,3],[2714722609,3],[2717224129,1],[2720978569,3],[2722856761,1],[2724944401,3],[2727241729,1],[2728704169,4],[2729958001,3],[2731003081,1],[2731839289,3],[2734139521,1],[2735394601,1],[2736649969,3],[2738124199,1],[2744397769,3],[2749219489,1],[2755095121,1],[2763289489,1],[2763710041,4],[2764971889,1],[2770864321,1],[2773812889,3],[2774444929,1],[2776341481,3],[2776973809,1],[2778449521,1],[2780136529,1],[2780769289,1],[2782246009,1],[2783301049,1],[2786045089,1],[2788579249,1],[2791748569,1],[2796611689,1],[2797246321,4],[2797260929,4],[2798727409,1],[2800420561,1],[2802325969,1],[2803808401,3],[2805503089,3],[2808894001,3],[2809318009,1],[2814408601,1],[2816318761,1],[2818441921,3],[2820990769,1],[2821415689,1],[2824603609,1],[2826091921,3],[2827155241,1],[2827367929,3],[2830346401,1],[2833752289,1],[2834391121,3],[2838651841,1],[2838864961,1],[2841849481,1],[2843342329,1],[2843768929,3],[2849104129,1],[2849531161,3],[2851666801,3],[2855512969,1],[2855940481,3],[2862571009,3],[2862999049,1],[2865139729,1],[2867709601,1],[2869637761,1],[2873924881,3],[2874139321,4],[2877142321,1],[2878644409,1],[2885730961,1],[2887020361,1],[2891535529,1],[2893471681,1],[2896484761,3],[2897776561,1],[2900576449,1],[2903162161,3],[2903808769,1],[2904239881,3],[2905102201,1],[2908121329,1],[2910710401,3],[2917188121,3],[2921294401,1],[2924970889,3],[2925836281,1],[2931031321,3],[2932330801,3],[2934063889,3],[2935580761,12],[2936881249,4],[2939483089,4],[2942649737,1],[2945992729,1],[2947078369,3],[2947729849,1],[2949684721,3],[2951857561,3],[2955770689,3],[2959686409,4],[2960339281,4],[2960774569,1],[2961427561,3],[2961645241,1],[2969923009,1],[2970577009,12],[2974502521,10],[2974720681,12],[2975375209,1],[2977120969,3],[2978648929,1],[2981269201,3],[2984327641,1],[2986294609,1],[2988480889,1],[2993074681,3],[2995044529,3],[2997672001,3],[2999424289,1],[3000081529,1],[3006219241,1],[3006657889,1],[3008632201,1],[3010607161,4],[3011485129,4],[3014778649,1],[3018513481,1],[3019392601,4],[3022030729,3],[3025110001,3],[3025990081,3],[3030392401,1],[3030612601,1],[3031273249,4],[3031713721,3],[3033696241,4],[3036340609,1],[3041191609,3],[3047150401,1],[3048917089,3],[3049137961,3],[3052452001,3],[3053557081,3],[3061740889,1],[3063733201,1],[3066169129,3],[3070378921,3],[3073704481,1],[3080361001,1],[3084802681,12],[3089025241,1],[3090136921,3],[3091693609,4],[3095698321,1],[3098146921,3],[3101487481,1],[3102155809,1],[3103715521,1],[3104829841,3],[3106167289,3],[3112189369,1],[3112858849,4],[3115090969,4],[3115760761,1],[3116207329,1],[3116877241,1],[3117770569,1],[3118440649,1],[3119110801,3],[3121568641,1],[3124921801,1],[3127158241,3],[3127829329,1],[3128276761,1],[3128500489,1],[3132305089,1],[3134544169,3],[3136336009,1],[3141938809,1],[3147097801,4],[3149791129,3],[3150689161,1],[3156080041,3],[3159226849,3],[3159451681,1],[3163950001,4],[3169577401,1],[3176336881,1],[3177464161,1],[3179042689,1],[3184457761,1],[3188522089,1],[3189651529,10],[3189877441,1],[3192363001,4],[3195301729,1],[3195753961,3],[3197110849,1],[3203220409,4],[3204805321,3],[3207296689,3],[3210695569,3],[3211602241,4],[3212735761,1],[3213415969,1],[3215003401,1],[3218406361,12],[3220222009,3],[3222492289,3],[3227035249,3],[3227262481,1],[3227716969,1],[3231126649,4],[3236813449,3],[3238634281,1],[3240000241,1],[3240227929,3],[3242277481,1],[3244783369,3],[3247062289,4],[3248202049,4],[3253219369,1],[3257327329,1],[3257783929,1],[3259153921,1],[3261209449,3],[3265322449,1],[3266008201,1],[3269438041,1],[3271039249,3],[3274242841,1],[3277677001,3],[3279738361,1],[3288678409,3],[3291661129,1],[3292808689,3],[3293497321,3],[3294415609,3],[3296252569,1],[3297860329,1],[3301306849,3],[3304755169,1],[3305445049,3],[3306595009,1],[3309355729,3],[3309585841,3],[3312808249,1],[3313038481,1],[3314420041,1],[3316953649,1],[3322023769,10],[3322484881,4],[3323868409,1],[3325482889,1],[3330328681,1],[3331482961,3],[3335178001,1],[3337719529,1],[3339799681,1],[3341880481,4],[3345349921,3],[3346275409,1],[3347663881,3],[3352294201,1],[3357391249,1],[3357854809,3],[3360868729,3],[3362956081,1],[3365508169,1],[3367132729,1],[3369686401,1],[3370615249,1],[3371079721,3],[3376655881,1],[3381538801,1],[3388054849,3],[3388520521,3],[3389219089,1],[3390616441,4],[3392247049,3],[3395509441,1],[3401339041,4],[3403205569,1],[3406940161,1],[3408107641,1],[3410910409,1],[3411844921,3],[3412545889,3],[3415116721,1],[3419559529,1],[3430093489,3],[3434077201,10],[3434311609,1],[3435483769,1],[3440643649,1],[3441112921,3],[3443225041,1],[3444163969,1],[3445572601,3],[3448860529,1],[3450505081,3],[3452385049,3],[3453090169,1],[3455911369,3],[3456146521,1],[3461086561,3],[3468856609,1],[3470034649,4],[3470270281,1],[3474277249,1],[3482298121,1],[3483478441,1],[3487020601,4],[3489146761,3],[3490091929,3],[3491982649,4],[3495056161,1],[3495529129,1],[3498604201,3],[3500733889,1],[3504284809,1],[3513288529,3],[3520404889,1],[3522541201,3],[3523490881,1],[3524678161,1],[3525628129,1],[3527528449,3],[3530379889,1],[3532642667,1],[3533232481,1],[3534659209,1],[3541321081,1],[3541797169,3],[3547512721,3],[3548227489,3],[3549895561,3],[3554186689,1],[3554663641,1],[3555379129,1],[3558241801,1],[3559196281,1],[3563970601,1],[3564925849,4],[3566836729,1],[3567553441,4],[3573528841,3],[3574963681,1],[3583578769,1],[3585494641,3],[3591485041,4],[3594841849,1],[3596520841,1],[3604441369,1],[3609245929,1],[3609966889,1],[3615256129,3],[3616699321,4],[3626809729,4],[3632593441,1],[3635245849,1],[3638140489,3],[3639829561,3],[3649730569,3],[3653356249,12],[3655048849,3],[3659887009,1],[3662791441,1],[3664970521,1],[3671026921,3],[3673693321,4],[3674420689,12],[3676845769,3],[3679756921,1],[3684854209,1],[3686796961,3],[3688983169,4],[3691413049,1],[3691899121,3],[3705035161,4],[3713317969,3],[3715268209,4],[3716243521,3],[3721854049,1],[3732110281,3],[3735776641,3],[3736754641,1],[3748255729,4],[3752910121,3],[3761736889,3],[3762472921,3],[3765417769,3],[3774996481,3],[3778437961,1],[3778683841,1],[3780651169,1],[3783603121,1],[3784587361,1],[3787540849,3],[3788033209,1],[3788771809,10],[3789756721,1],[3792465889,1],[3794929609,1],[3795668881,1],[3797887129,1],[3798380161,1],[3802818889,10],[3803558929,1],[3809728729,1],[3826783321,3],[3835696489,1],[3837678601,3],[3839165521,3],[3841396441,3],[3842388169,12],[3844372009,3],[3845364121,3],[3846108289,3],[3847751263,2],[3851071249,4],[3856285801,4],[3861006769,3],[3867471721,1],[3867720481,1],[3871203961,4],[3872946289,3],[3881165401,4],[3881663809,10],[3887148409,12],[3891638689,3],[3893884801,4],[3896630929,1],[3902126089,1],[3910376089,1],[3911126521,3],[3917633281,1],[3920888689,4],[3922892689,3],[3929158489,3],[3934174729,1],[3935178361,1],[3936684049,1],[3937939009,1],[3940449529,3],[3946226761,1],[3950248201,1],[3956787409,3],[3959807329,3],[3961317721,3],[3966606361,1],[3966858289,1],[3969126001,5],[3977446489,1],[3983250769,1],[3987796201,4],[3991586041,3],[3993860809,4],[3995630521,3],[3999424081,1],[4000183009,3],[4003978729,1],[4006763401,1],[4009042489,1],[4011575569,3],[4012842409,3],[4015376689,1],[4016644129,1],[4020701281,3],[4025014249,1],[4027552369,12],[4028060089,3],[4030599169,3],[4031361049,3],[4034917441,12],[4035679729,1],[4039746481,4],[4043306569,3],[4044832801,1],[4045087201,1],[4045850449,3],[4046359321,1],[4050940609,3],[4052468281,1],[4056543481,1],[4063170049,1],[4066995529,1],[4070312401,12],[4071588481,1],[4073003173,1],[4073375329,1],[4075417921,3],[4075673281,3],[4077716449,1],[4083337801,3],[4086917041,1],[4093056529,4],[4095616009,3],[4096896049,1],[4098432361,1],[4100225089,1],[4100737369,1],[4111759129,3],[4115607409,1],[4120227721,4],[4123823089,1],[4126392169,1],[4134618601,4],[4134875809,3],[4138734889,1],[4143883129,3],[4147231201,3],[4147746409,3],[4151611489,1],[4153931401,3],[4154189209,1],[4161927169,1],[4165509529,1],[4167089809,3],[4168897489,1],[4170188929,1],[4170447241,3],[4171997281,1],[4174322881,1],[4175873641,3],[4177424689,4],[4185184249,3],[4188290089,3],[4194246169,1],[4196653397,1],[4205392801,3],[4208246641,3],[4209284641,1],[4214476561,1],[4214736241,1],[4216813969,1],[4218632401,3],[4224610009,1],[4228510729,1],[4228770841,3],[4236577921,3],[4238140201,3],[4241005129,1],[4241786641,1],[4244131609,1],[4247519929,1],[4248302041,1],[4252735369,1],[4256127121,1],[4258476049,1],[4259406061,1],[4259781289,1],[4267616929,1],[4271014609,1],[4273367641,1],[4274675161,1],[4276244449,1],[4282000969,1],[4283309809,1],[4287499441,3],[4289857009,4],[4292739361,1],[4295098369,4],[4296933601,1],[4298506969,4],[4300867561,3],[4301654569,4],[4303228801,1],[4305590689,1],[4310841649,1],[4313468329,1],[4314781969,1],[4316358601,3],[4316621401,3],[4317409849,1],[4318198369,3],[4318724089,1],[4318986961,3],[4320301441,1],[4324509121,1],[4326613729,1],[4328192521,1],[4333193929,3],[4335300649,3],[4336354201,1],[4338461689,1],[4342678201,1],[4349534401,1],[4351117369,1],[4360885369,3],[4362206209,12],[4366962889,4],[4367755921,3],[4369606609,4],[4370135449,1],[4370399881,4],[4378865929,3],[4381248481,1],[4387605121,1],[4391845441,1],[4394761849,3],[4395822601,1],[4400597569,1],[4401924409,1],[4403782321,1],[4405375129,1],[4405906129,3],[4410686569,1],[4413077761,1],[4417862089,1],[4422117001,1],[4429301809,1],[4431431761,3],[4439423641,1],[4441289449,4],[4450624369,1],[4457298169,3],[4461037681,1],[4463442481,1],[4469056201,3],[4469323609,1],[4470660769,3],[4473335689,3],[4483507681,1],[4493423089,1],[4495568401,3],[4497177721,3],[4498787329,1],[4502812609,1],[4507913881,3],[4509525409,4],[4513286761,4],[4514361721,1],[4517318521,3],[4520007361,3],[4524042121,3],[4535887801,1],[4538582161,3],[4542625201,1],[4545591241,3],[4549097809,1],[4554765121,1],[4556115001,1],[4559355529,4],[4561246369,3],[4565299489,3],[4566921241,3],[4570706449,1],[4572329161,3],[4576657801,3],[4583154601,1],[4584508681,1],[4586404729,1],[4590198001,1],[4591011049,4],[4591282081,1],[4593721729,3],[4599141247,4],[4600773241,1],[4602672649,1],[4614077329,1],[4618697521,1],[4623048049,12],[4631210809,1],[4632407963,1],[4633661041,1],[4639108321,4],[4647285241,1],[4649101309,1],[4652194849,1],[4652467681,1],[4653831961,1],[4656561121,1],[4662021841,4],[4662294961,1],[4668852241,1],[4671859201,1],[4683622969,1],[4689099529,1],[4690743121,1],[4691017081,1],[4692387001,3],[4693209049,1],[4695127441,1],[4696497961,1],[4717354489,1],[4719552601,1],[4721201521,3],[4724775169,1],[4728900289,3],[4730275729,1],[4732201681,1],[4735228969,1],[4745969881,1],[4746796609,3],[4747623409,12],[4748450281,1],[4749552889,3],[4750931329,1],[4755895369,1],[4760034049,1],[4762518121,1],[4763622361,1],[4765278961,1],[4769421721,1],[4770250489,1],[4781584201,10],[4784350561,2],[4787394481,1],[4787671249,4],[4788224809,3],[4791546841,3],[4793208289,12],[4807619569,12],[4808174281,1],[4812335641,1],[4814000689,4],[4820108329,1],[4825664089,1],[4826497729,1],[4829833009,12],[4835672521,3],[4838176249,3],[4847362129,4],[4851540409,3],[4852559557,4],[4854884329,3],[4856835481,1],[4857671809,4],[4859344681,3],[4863249169,1],[4863528121,1],[4866597121,1],[4866876169,3],[4873296481,3],[4875809929,1],[4876089241,12],[4876647889,1],[4880000449,3],[4880279881,1],[4885870201,1],[4887035873,5],[4887547921,1],[4899580009,3],[4900420009,3],[4901260081,3],[4904335099,1],[4908543721,1],[4913869801,1],[4915552321,1],[4917235129,1],[4919479321,4],[4919759881,1],[4922004649,1],[4922846569,3],[4924811329,1],[4925372761,1],[4925653489,3],[4928180401,1],[4929022849,3],[4934922001,1],[4943355481,1],[4945043041,1],[4945886929,12],[4953485161,1],[4955174449,1],[4959398929,1],[4960244041,1],[4961652721,1],[4964188849,3],[4964470681,1],[4967571361,1],[4970391001,4],[4971237049,1],[4974339841,3],[4975468369,1],[4977161401,3],[4980266041,1],[4981959889,1],[4982806921,3],[4985348449,3],[4989868321,1],[4991443829,1],[4992411649,1],[4993259569,1],[4993824889,1],[4996651969,1],[4999762681,4],[5000894089,3],[5008251361,1],[5019580801,3],[5025533881,1],[5026951801,3],[5029504561,1],[5029788241,3],[5034044401,3],[5038018441,1],[5038302361,1],[5044266529,1],[5046539521,12],[5049381481,1],[5052508561,1],[5057912161,3],[5059334641,1],[5061895609,1],[5062749409,1],[5063887921,1],[5064741889,1],[5065311241,1],[5068158481,1],[5074710169,1],[5076420001,1],[5078415169,1],[5081836369,1],[5088396889,3],[5089538281,1],[5092106881,1],[5092677769,1],[5097328361,4],[5099530921,4],[5099816569,1],[5102102041,1],[5108389729,1],[5112679009,1],[5117542369,3],[5122121761,4],[5131286689,3],[5140746601,1],[5142754369,1],[5143614961,3],[5146771081,3],[5151937729,1],[5160554569,3],[5161416649,3],[5164003321,1],[5167740769,3],[5169466201,1],[5172054889,3],[5175507481,1],[5179824841,1],[5181552289,3],[5182992049,1],[5190193849,3],[5190770209,1],[5195093929,4],[5197112281,1],[5198842609,3],[5199707881,1],[5204035321,1],[5207209921,1],[5208075889,1],[5215872841,3],[5217028441,10],[5225410369,4],[5228302249,3],[5233220281,1],[5236982689,3],[5239298689,3],[5244801241,4],[5253495361,3],[5255815009,1],[5256685009,1],[5263067209,3],[5263647601,1],[5273228689,3],[5277005449,3],[5277112021,4],[5277586609,3],[5282237041,3],[5286307849,1],[5288052961,10],[5289216529,3],[5290089289,1],[5295036289,4],[5299403209,1],[5302315489,1],[5308433881,1],[5309891161,1],[5310182641,1],[5311931689,1],[5312806321,1],[5316013921,1],[5317763929,1],[5318930761,3],[5319805969,1],[5321556601,1],[5325058729,1],[5330898169,4],[5331859723,9],[5334695521,1],[5335279849,1],[5340540241,1],[5346680641,4],[5355458761,1],[5366881081,1],[5371570681,1],[5374209481,1],[5376848929,1],[5377435561,1],[5380369201,1],[5383010161,1],[5384477641,1],[5385651769,3],[5386984777,1],[5390055889,1],[5397987841,4],[5398869529,1],[5399751289,1],[5405631529,1],[5406513841,4],[5410043809,4],[5422407769,1],[5423291449,3],[5427710929,1],[5428595041,4],[5428889761,3],[5430658249,1],[5434785841,1],[5440095049,3],[5443931089,3],[5449244761,1],[5453379409,1],[5460766609,1],[5462244649,1],[5472004729,1],[5475852001,1],[5478516289,3],[5482958209,1],[5487401929,1],[5489772649,3],[5490958201,12],[5499557281,1],[5500743889,1],[5504007721,12],[5505194809,1],[5506085209,3],[5508459961,1],[5514102049,1],[5517369841,1],[5520044209,1],[5522124721,1],[5523908329,3],[5529855769,3],[5532830689,3],[5536996921,3],[5542653601,1],[5548611121,1],[5551293049,4],[5553379441,3],[5561132329,1],[5563220569,3],[5564712409,1],[5566502881,1],[5566801321,1],[5568592129,1],[5582630089,1],[5582928961,4],[5584059449,3],[5589207121,1],[5591898841,1],[5594591209,4],[5598182041,3],[5599678561,1],[5603570449,3],[5608062769,12],[5609560609,3],[5613455929,1],[5614355041,3],[5614954489,1],[5626650121,1],[5627550289,4],[5631151681,3],[5641361881,4],[5650378561,1],[5652182761,1],[5653987249,1],[5666626729,3],[5668315687,5],[5673554329,3],[5674458241,3],[5675663569,1],[5677170409,1],[5678074609,3],[5680184689,3],[5681692129,1],[5685612409,1],[5697079441,1],[5700703009,1],[5703421441,1],[5704327729,1],[5706140521,3],[5708255809,1],[5710976041,3],[5711882929,3],[5719745641,1],[5723376409,3],[5731549849,4],[5731852681,3],[5735184361,1],[5743669369,1],[5750643889,1],[5753677609,1],[5756105161,3],[5765516761,12],[5766427969,3],[5767035481,3],[5772808441,1],[5775544009,1],[5776152001,1],[5776456009,4],[5788014241,1],[5788318561,4],[5791057801,3],[5791666609,3],[5795624641,3],[5800193281,1],[5807506849,1],[5812995049,3],[5813910001,3],[5815435081,1],[5815740121,1],[5819096089,1],[5820011521,3],[5831918689,12],[5832224161,3],[5833751641,1],[5843226481,1],[5847813841,1],[5853933121,1],[5855157361,1],[5857912369,1],[5858830849,4],[5864343241,1],[5868632449,3],[5875069201,4],[5875375801,1],[5879669041,1],[5893786441,1],[5898393601,1],[5901158761,12],[5902695241,3],[5910995689,1],[5914686649,3],[5915609569,1],[5916532561,1],[5921148601,1],[5927614081,1],[5932542529,1],[5933466841,3],[5936240209,1],[5943330649,4],[5944564201,4],[5950116769,1],[5950733881,3],[5952585409,1],[5958450481,1],[5959994401,1],[5967408001,1],[5969262121,1],[5969571169,3],[5970498361,1],[5982558409,1],[5983177201,1],[5987200129,12],[5993701561,1],[5995559761,1],[6002685529,4],[6002995441,12],[6004545121,1],[6007645081,1],[6014157601,3],[6015088249,1],[6016018969,3],[6023467321,3],[6024398689,1],[6025019641,1],[6028124881,1],[6030920281,3],[6037134601,3],[6040864729,6],[6048639529,1],[6052995601,3],[6058909921,1],[6060466801,10],[6062646769,1],[6072929041,3],[6080412529,1],[6081348289,1],[6090397681,1],[6091646401,3],[6096330241,3],[6105390769,1],[6105703321,1],[6109454569,3],[6111017929,3],[6111956041,1],[6114145249,3],[6115709209,1],[6119776441,1],[6120402289,3],[6124471081,3],[6127288729,1],[6128228089,3],[6131046601,1],[6132612721,1],[6133552489,12],[6137312281,4],[6138252409,3],[6146716801,3],[6150794329,3],[6161779009,1],[6163977121,3],[6164919289,1],[6168688681,3],[6173087761,3],[6174344929,1],[6175287889,1],[6179060449,3],[6193217809,1],[6195736369,3],[6199515169,1],[6206130841,3],[6208021681,1],[6208967209,3],[6213065329,1],[6215587921,1],[6217795609,1],[6218426449,1],[6221581129,3],[6223158769,3],[6228208561,3],[6231681481,1],[6237682441,1],[6247795849,3],[6250957969,1],[6257284609,1],[6269630761,3],[6270580969,1],[6271531249,1],[6272798401,3],[6279136081,1],[6281989081,1],[6285794089,4],[6289917481,1],[6291503761,1],[6293724889,3],[6294359569,3],[6296263801,1],[6297533449,1],[6299120689,1],[6303248449,1],[6303883609,3],[6306106921,1],[6325179961,1],[6328043401,1],[6337592881,3],[6341096161,3],[6347149561,4],[6350655481,4],[6351611809,1],[6370753489,1],[6371711329,10],[6374904649,1],[6375543409,1],[6377779321,4],[6384169801,1],[6390883249,1],[6394721089,1],[6395680729,1],[6403360441,12],[6408162601,3],[6412325929,3],[6417131449,3],[6423862201,4],[6424503409,1],[6426747889,1],[6427709929,3],[6433162849,1],[6438297121,3],[6452748241,3],[6454676281,1],[6458211769,1],[6471719809,1],[6475903729,3],[6478479121,1],[6484597729,1],[6491041489,1],[6496198801,1],[6496843609,1],[6500713129,1],[6501035641,1],[6505551649,1],[6507487561,4],[6507810241,1],[6508778329,1],[6509423761,1],[6509746489,1],[6510391969,1],[6512651401,1],[6520078009,1],[6520401001,1],[6524923729,1],[6525246841,12],[6525893089,1],[6529124809,1],[6538824769,1],[6544324609,3],[6546266281,1],[6546589921,3],[6547560889,1],[6549503041,3],[6549699311,2],[6555007369,3],[6559218121,4],[6563106169,3],[6564078361,1],[6564726529,3],[6566022961,3],[6567967849,3],[6568616209,10],[6568940401,1],[6572507041,10],[6573479929,1],[6587432569,1],[6597175729,3],[6598800289,1],[6609527401,3],[6612913133,1],[6616683649,3],[6619286881,1],[6621565129,1],[6626122801,4],[6632310721,3],[6643717081,3],[6645021289,1],[6647630089,1],[6649913209,3],[6650891809,3],[6651870481,1],[6661661161,1],[6666232609,4],[6670152241,3],[6671132329,1],[6676033849,10],[6679302529,4],[6680937169,3],[6684861121,3],[6691076401,1],[6698931409,1],[6702533161,3],[6714655249,3],[6716294209,3],[6719572729,1],[6725148049,1],[6725476081,4],[6726132169,1],[6727444441,1],[6729084961,1],[6732366601,4],[6734992489,1],[6749115409,1],[6755031721,1],[6761937361,3],[6763582081,1],[6773454601,1],[6774442249,1],[6781687201,1],[6783334321,4],[6788606449,1],[6799156849,1],[6800146369,1],[6807405049,1],[6814337401,3],[6824246881,3],[6825899161,1],[6844087441,4],[6849052081,3],[6849714169,1],[6852693961,1],[6853687369,4],[6857992969,4],[6861968569,1],[6863625409,1],[6869835701,2],[6870586321,3],[6878877721,1],[6885846361,4],[6888502009,3],[6890494081,1],[6892818529,1],[6896804209,3],[6900791041,1],[6901787929,4],[6903781921,1],[6904446649,3],[6918413329,3],[6922739209,1],[6925401961,1],[6926733529,3],[6927732289,1],[6929397049,1],[6935089643,1],[6938723401,3],[6940722721,1],[6945388921,1],[6945722281,1],[6948389449,1],[6952724689,1],[6953725321,1],[6960731761,1],[6962734249,1],[6963735601,1],[6968409529,3],[6982774969,1],[6985449241,3],[6988458409,4],[6990464881,3],[6992471641,3],[6997824409,1],[6999497569,3],[7005857401,1],[7008536089,1],[7008870961,3],[7015905121,4],[7018585729,1],[7020931681,1],[7024618969,1],[7034009161,1],[7034680129,4],[7037699881,4],[7039713409,4],[7042734241,3],[7053144289,1],[7058856289,12],[7065915481,1],[7067260489,1],[7070959921,12],[7078025161,4],[7079034769,1],[7080044449,1],[7086440761,4],[7088124481,3],[7093176841,1],[7093513729,1],[7094524441,1],[7100253169,1],[7109356489,1],[7126905241,3],[7128593761,3],[7130620249,1],[7132984849,3],[7133998369,3],[7134674089,3],[7140757009,1],[7141771081,1],[7144137529,1],[7150224481,4],[7162406161,1],[7165453201,4],[7167146281,3],[7188835369,1],[7192566481,1],[7201049881,1],[7210217569,3],[7215992809,12],[7218371521,1],[7219391089,3],[7229590729,4],[7239797569,1],[7240478281,3],[7242520609,1],[7243541881,1],[7245584641,3],[7252055281,1],[7262959729,3],[7266369049,1],[7275578209,3],[7276601809,4],[7281379561,1],[7281720889,3],[7286841769,4],[7295038921,4],[7301189809,1],[7302215209,3],[7308027169,1],[7312473169,1],[7313157289,1],[7314183529,4],[7315551961,3],[7322396041,4],[7326846409,4],[7328558449,1],[7330613161,3],[7330955641,1],[7334038321,1],[7334723449,4],[7347404089,1],[7350147289,3],[7364557489,1],[7366960561,3],[7367990569,1],[7369020649,3],[7369707409,1],[7370050801,5],[7376920321,1],[7379325409,12],[7380356281,3],[7384136761,1],[7394452081,1],[7409249929,1],[7410282889,3],[7415104321,1],[7415448769,10],[7416137689,1],[7419582769,1],[7420616449,1],[7423717921,3],[7425441241,3],[7429922809,1],[7430612401,1],[7431991681,4],[7437165121,4],[7437855049,1],[7438890001,3],[7441305169,1],[7442340361,3],[7445446369,1],[7446136681,3],[7446481849,1],[7447172209,1],[7449588721,3],[7454768281,1],[7456495201,3],[7459604161,3],[7459949641,4],[7463059321,1],[7468934929,1],[7472046481,1],[7475504521,1],[7476542089,4],[7478271529,3],[7480693081,3],[7482423001,1],[7494884329,3],[7495923241,1],[7499386801,3],[7504237129,1],[7504583641,3],[7512902329,1],[7514982721,3],[7515676249,3],[7520184961,1],[7521919441,1],[7524348049,1],[7528512289,1],[7531289089,4],[7536496969,3],[7540664569,3],[7541706649,1],[7543096201,3],[7544138449,3],[7544833321,4],[7556651041,3],[7565694361,1],[7567782049,1],[7576135681,3],[7581359041,3],[7586932609,1],[7587629449,4],[7589720161,1],[7590068641,1],[7600526761,1],[7601572969,1],[7612737001,1],[7613086009,3],[7613784049,1],[7617274729,3],[7620067849,1],[7621115401,3],[7623559969,3],[7624258489,3],[7627751569,3],[7639284409,1],[7651525729,3],[7652925361,1],[7657825081,3],[7659225289,1],[7663076521,1],[7666228249,1],[7671482569,3],[7676037769,3],[7677790129,3],[7680944881,1],[7686204241,3],[7688308489,1],[7689711481,1],[7694622961,3],[7698132121,4],[7698834049,3],[7700238001,1],[7707610849,1],[7708313209,4],[7710771721,3],[7714635889,4],[7718149609,1],[7720961161,3],[7724124769,1],[7729398889,3],[7742416081,1],[7744176001,1],[7745232049,1],[7756148761,1],[7757910241,3],[7760376649,3],[7764605689,1],[7766720641,1],[7783297729,3],[7797066601,3],[7800599041,3],[7801658929,1],[7814029609,1],[7827117841,1],[7831011049,1],[7836321529,1],[7840571209,1],[7848010921,3],[7848365281,1],[7851200449,1],[7851554881,1],[7858999801,1],[7860063649,4],[7864319761,1],[7884196849,3],[7886683249,1],[7888459489,3],[7896277321,3],[7897343689,1],[7916293657,5],[7922602081,1],[7928299681,1],[7931149249,3],[7933286761,1],[7933643041,1],[7938988201,1],[7940057449,1],[7948257409,1],[7954677721,4],[7957175209,1],[7958245681,1],[7961457529,1],[7962171361,1],[7973239849,1],[7979670241,1],[7985745769,1],[7987175641,1],[7988005999,1],[7991108449,1],[7994684569,3],[8000050249,3],[8006133529,1],[8008639081,10],[8010429001,3],[8014009441,1],[8016158089,1],[8027622409,1],[8028697609,3],[8030131321,1],[8036054027,1],[8040529561,10],[8044116721,1],[8055601009,1],[8060987089,1],[8067452761,1],[8071045921,1],[8076077689,3],[8083628281,4],[8085066889,1],[8089023721,1],[8093341369,1],[8101260049,1],[8104140529,1],[8109542809,4],[8112064489,1],[8113145329,1],[8126842201,6],[8131169929,1],[8133694969,1],[8135498809,1],[8136581209,4],[8144521009,1],[8147409169,1],[8148853441,4],[8150658961,3],[8166917641,4],[8171617609,1],[8173425649,1],[8185363729,1],[8186811361,1],[8190069001,1],[8194413529,1],[8196224089,1],[8211440689,3],[8213978161,12],[8215790881,1],[8219054281,1],[8227034209,3],[8242279369,1],[8243368849,1],[8248817329,1],[8252087281,3],[8253177409,3],[8264809921,1],[8265900889,1],[8268446761,1],[8276814529,3],[8280454009,3],[8282638081,1],[8287007089,1],[8295384241,10],[8295748561,10],[8298663409,1],[8304130129,12],[8304494641,1],[8310692569,3],[8322730441,1],[8327110009,1],[8328393683,1],[8335142209,1],[8348294161,1],[8349025129,1],[8358164929,1],[8359993489,1],[8364748681,4],[8370969049,1],[8379754681,4],[8386346929,1],[8387445889,1],[8388911281,1],[8394407641,1],[8419347049,1],[8440648129,1],[8447264281,1],[8463448009,3],[8465656081,1],[8471545681,3],[8473386601,3],[8484436321,1],[8492175409,1],[8495861929,4],[8496599329,1],[8496968041,1],[8501393209,1],[8504712841,1],[8513568361,1],[8518736209,1],[8522428489,1],[8529076609,3],[8529815449,1],[8530923769,3],[8532032161,3],[8533510129,3],[8534618689,4],[8535357769,1],[8537575201,1],[8549036521,3],[8550146089,3],[8552365441,4],[8554215121,1],[8556805009,1],[8565687601,4],[8566798249,1],[8568649489,1],[8569019761,6],[8571241561,1],[8573463649,3],[8581984321,1],[8583466609,1],[8585319649,1],[8587914241,1],[8589767761,3],[8594587849,1],[8596442089,3],[8597554729,1],[8600151169,1],[8603119009,4],[8604603121,3],[8605716289,1],[8613510481,3],[8617594561,4],[8620936801,3],[8623536769,3],[8634312241,3],[8646582169,1],[8657744209,1],[8665561921,12],[8668168609,4],[8673755689,1],[8677108801,1],[8680462561,3],[8682326041,1],[8691646441,1],[8693884081,1],[8696122009,4],[8701718089,1],[8702464369,3],[8706196249,1],[8709182329,3],[8711795569,3],[8724867649,1],[8727109561,1],[8735332369,1],[8738697361,1],[8739819169,4],[8740567081,3],[8740941049,3],[8741689009,1],[8742811009,1],[8752163809,12],[8752912249,12],[8753286481,3],[8754034969,4],[8761147201,4],[8762270449,6],[8766389641,3],[8779877401,3],[8780064047,1],[8787000121,3],[8791500169,3],[8796001369,3],[8811764641,3],[8814768769,1],[8815144321,4],[8819275921,3],[8819651569,1],[8824159969,1],[8824911481,4],[8832052441,1],[8846719249,1],[8847847969,4],[8850858241,3],[8856503881,3],[8856880321,1],[8864787409,3],[8867800561,1],[8877219961,3],[8879104441,1],[8885136121,3],[8890792681,3],[8893810249,1],[8896451041,1],[8898337561,3],[8900601649,1],[8902111201,1],[8907395641,3],[8910793609,1],[8911171201,1],[8923258369,3],[8927037289,3],[8936109961,3],[8938378849,1],[8941404481,1],[8948592409,3],[8951619769,1],[8958811801,3],[8969794681,1],[8982679729,4],[8983437961,4],[8984954521,1],[9011897441,1],[9015692401,1],[9017591521,3],[9025570009,1],[9026710081,1],[9028990441,1],[9036973969,4],[9038495041,3],[9041537569,1],[9044200201,1],[9049907161,1],[9052190449,1],[9054093409,4],[9073896049,1],[9074658121,4],[9075801289,1],[9079612369,3],[9085330489,1],[9095246161,1],[9099824449,4],[9103640569,3],[9104785561,1],[9106694041,12],[9108984481,3],[9112802521,1],[9114711841,3],[9116230969,1],[9116239441,12],[9117003289,1],[9121587049,1],[9129611401,3],[9142610689,1],[9143375641,4],[9145670689,3],[9149113801,3],[9158681401,1],[9160978369,3],[9161744089,10],[9162892729,1],[9175532521,3],[9175915681,4],[9193166161,1],[9195083881,3],[9200070889,3],[9202373041,1],[9205826809,4],[9208129681,1],[9210432841,3],[9213504169,3],[9242322769,1],[9250400041,1],[9250784761,3],[9258480841,3],[9265795081,3],[9280817569,1],[9288526129,1],[9293152801,1],[9302795401,3],[9303952849,3],[9306267961,12],[9308197441,1],[9309741169,3],[9317461729,1],[9329048569,1],[9331753201,4],[9339869449,1],[9343348921,1],[9345282241,1],[9351470209,1],[9358434121,1],[9360369001,1],[9367723369,4],[9369659209,1],[9374693329,1],[9379341409,3],[9380116201,1],[9391741921,1],[9403762729,4],[9413074441,1],[9416567521,1],[9423167329,1],[9424720561,1],[9428992609,1],[9431711689,1],[9439871281,1],[9443369329,3],[9445312969,4],[9450367369,1],[9453867361,3],[9455812081,3],[9463982089,3],[9467484601,1],[9481501129,1],[9483059161,3],[9484227769,1],[9486175609,1],[9491240929,3],[9498256681,3],[9506055001,1],[9510735529,1],[9516587809,3],[9521270929,1],[9521661241,1],[9528297769,3],[9535717801,1],[9540014929,1],[9542749969,1],[9550957441,3],[9562297369,3],[9562688521,1],[9574035409,3],[9574426801,1],[9576775321,1],[9578732641,1],[9589697329,4],[9592831249,4],[9598708729,4],[9601452169,1],[9606156121,3],[9607332289,1],[9615175249,3],[9623806201,1],[9628123129,1],[9639116041,3],[9644614849,1],[9645793369,3],[9647364841,1],[9648543529,1],[9656796361,1],[9666232489,1],[9667019041,1],[9667412329,1],[9678034129,1],[9684724921,1],[9686299561,1],[9694174681,3],[9703629049,1],[9705993361,4],[9708752089,3],[9721368409,1],[9726101641,1],[9739518721,1],[9743861521,1],[9747810361,3],[9759185353,1],[9768752569,1],[9775079161,3],[9778638769,3],[9781012201,3],[9783385921,1],[9786551329,1],[9788925721,3],[9790508809,12],[9797238361,3],[9799614049,1],[9811496809,1],[9818629921,1],[9822593881,1],[9824576161,1],[9835283929,3],[9841618207,1],[9847188289,1],[9863866489,1],[9869826409,1],[9873800689,3],[9879763609,12],[9888114721,3],[9894081961,1],[9899653009,3],[9904827529,1],[9905623729,3],[9906021841,3],[9910401601,1],[9912790969,1],[9915578929,1],[9916375561,3],[9922351321,4],[9935903041,3],[9941485849,1],[9941884681,1],[9942682369,3],[9944277841,1],[9965829241,1],[9974216641,3],[9975415129,3],[9976214161,3],[9985805041,3],[9992201521,3]],\"total_prime_ideals\":9589}\n" }, { "path": "anc/code/1.1.1/data/3723_low_norm_census.json", "size_bytes": 298404, "sha256": "c530b02c0cb324223b930edcabf2b8359e39b34538785133dc0fa2cf4cd5450a", "mode": 420, "encoding": "utf-8", "text": "{\"index\":3723,\"principal_cutoff\":10000000,\"support\":10000000000,\"small_exact_limit\":100000,\"polynomial_coefficients_ascending\":[-4096,-12288,0,16384,0,0,0,0,0,-40704,70656,-34560,0,0,0,0,0,0,-1344,-480,0,0,0,0,0,0,0,1],\"polynomial_discriminant_factorization\":[[2,312],[3,54],[157,6],[64679,6],[333337,2],[172659335137,2]],\"field_discriminant\":18394906743257121277769499404528301613431352459264,\"signature\":[3,12],\"nf_basis_unconditionally_certified\":true,\"polynomial_irreducible\":true,\"small_exact_known_norms\":[[7,1],[8,1],[23,2],[27,1],[29,1],[31,2],[37,2],[41,2],[43,1],[53,1],[59,3],[73,1],[79,1],[83,1],[97,3],[107,1],[109,1],[113,1],[125,1],[131,1],[137,5],[179,2],[181,1],[191,3],[193,2],[197,1],[199,1],[211,3],[223,2],[233,3],[239,3],[241,3],[251,1],[263,1],[271,3],[293,1],[311,2],[347,5],[349,5],[353,3],[359,5],[379,1],[383,3],[401,2],[409,3],[419,1],[421,1],[433,1],[443,2],[449,1],[457,1],[467,1],[503,1],[521,2],[523,2],[541,1],[563,1],[569,1],[571,2],[577,1],[587,1],[599,1],[613,1],[619,1],[641,1],[643,1],[653,1],[677,1],[683,3],[719,1],[739,3],[743,1],[751,2],[761,3],[797,3],[809,1],[821,2],[823,1],[829,2],[853,1],[857,3],[881,1],[907,2],[929,2],[937,1],[941,1],[947,2],[977,1],[991,3],[997,1],[1013,1],[1019,3],[1021,1],[1061,1],[1063,1],[1069,1],[1097,2],[1103,2],[1117,1],[1171,2],[1181,1],[1187,3],[1193,3],[1201,1],[1217,1],[1223,1],[1237,3],[1259,1],[1279,1],[1283,1],[1289,1],[1297,3],[1301,1],[1307,3],[1321,1],[1327,1],[1361,3],[1367,1],[1409,3],[1423,2],[1427,1],[1429,3],[1439,1],[1447,1],[1451,1],[1453,1],[1459,2],[1471,2],[1481,1],[1483,1],[1487,1],[1489,3],[1499,1],[1531,1],[1543,1],[1553,1],[1567,1],[1571,1],[1579,1],[1583,1],[1601,1],[1607,1],[1627,1],[1637,1],[1657,1],[1663,3],[1693,3],[1721,3],[1723,1],[1733,1],[1741,3],[1759,2],[1777,1],[1787,1],[1789,2],[1831,2],[1847,3],[1849,1],[1861,1],[1871,1],[1873,3],[1879,1],[1889,3],[1901,1],[1913,3],[1931,1],[1933,1],[1973,2],[1979,2],[1997,3],[2011,2],[2029,2],[2039,2],[2053,1],[2083,3],[2087,2],[2111,1],[2129,1],[2131,5],[2141,1],[2153,1],[2197,1],[2207,1],[2209,1],[2213,1],[2221,3],[2239,1],[2243,2],[2267,3],[2273,1],[2287,2],[2309,1],[2311,1],[2333,1],[2339,1],[2341,2],[2351,2],[2377,1],[2389,2],[2401,2],[2411,3],[2423,1],[2437,9],[2441,1],[2447,1],[2459,1],[2467,1],[2477,3],[2503,1],[2531,1],[2557,1],[2591,1],[2593,1],[2633,1],[2647,3],[2677,1],[2693,1],[2699,1],[2707,1],[2711,1],[2719,3],[2731,1],[2741,2],[2767,3],[2789,3],[2797,1],[2803,1],[2809,3],[2819,2],[2833,1],[2843,5],[2851,2],[2857,3],[2879,1],[2887,1],[2909,2],[2927,1],[2939,5],[2957,1],[2969,2],[2971,1],[3001,3],[3019,1],[3037,5],[3067,1],[3119,2],[3121,1],[3137,1],[3163,3],[3181,1],[3229,1],[3253,1],[3257,2],[3259,1],[3301,3],[3307,5],[3319,1],[3323,1],[3329,3],[3343,1],[3359,2],[3373,3],[3389,2],[3407,1],[3433,1],[3449,1],[3457,1],[3461,1],[3469,1],[3491,3],[3499,1],[3511,1],[3517,3],[3533,3],[3557,3],[3559,2],[3571,2],[3613,1],[3617,1],[3637,1],[3643,1],[3659,1],[3671,1],[3673,3],[3691,3],[3697,1],[3701,1],[3709,1],[3719,2],[3721,1],[3733,2],[3761,2],[3823,2],[3833,1],[3847,2],[3851,2],[3863,3],[3877,3],[3881,3],[3917,5],[3923,1],[3929,3],[3931,1],[3943,2],[3947,1],[3967,1],[4049,3],[4073,5],[4091,2],[4093,1],[4099,2],[4111,3],[4127,1],[4153,1],[4157,1],[4159,1],[4177,1],[4201,2],[4211,5],[4219,3],[4231,2],[4241,3],[4243,2],[4253,1],[4259,3],[4261,1],[4273,2],[4283,3],[4339,3],[4357,1],[4363,3],[4373,2],[4391,1],[4397,2],[4409,2],[4421,1],[4423,1],[4441,1],[4447,1],[4451,1],[4463,1],[4481,1],[4493,2],[4517,1],[4519,5],[4523,1],[4549,1],[4567,1],[4583,3],[4597,1],[4603,2],[4621,1],[4637,1],[4643,1],[4663,1],[4691,1],[4703,1],[4729,2],[4759,1],[4783,1],[4787,1],[4789,1],[4793,1],[4799,2],[4801,3],[4813,1],[4817,3],[4831,1],[4861,5],[4871,2],[4877,3],[4889,1],[4913,1],[4951,1],[4957,2],[4967,5],[4969,3],[4973,1],[4999,1],[5003,1],[5011,2],[5023,3],[5039,1],[5051,3],[5081,3],[5087,3],[5113,3],[5153,1],[5167,1],[5179,1],[5189,1],[5227,1],[5231,1],[5237,2],[5261,1],[5281,1],[5297,1],[5303,1],[5329,1],[5347,1],[5387,3],[5393,3],[5399,1],[5407,1],[5417,1],[5419,3],[5431,1],[5437,1],[5441,3],[5443,1],[5449,3],[5477,3],[5479,3],[5483,2],[5501,1],[5503,1],[5507,9],[5519,1],[5521,1],[5573,1],[5581,1],[5639,1],[5641,1],[5647,1],[5653,1],[5669,1],[5683,1],[5689,1],[5693,1],[5701,2],[5737,1],[5741,1],[5743,1],[5779,1],[5807,1],[5813,2],[5821,1],[5839,1],[5849,3],[5851,3],[5857,1],[5861,1],[5879,2],[5881,5],[5923,5],[5927,3],[5987,1],[6037,1],[6043,1],[6047,1],[6067,1],[6073,2],[6089,1],[6113,1],[6131,2],[6143,1],[6151,1],[6199,2],[6203,3],[6217,1],[6221,1],[6229,2],[6241,1],[6271,1],[6287,1],[6301,3],[6311,1],[6317,1],[6323,1],[6343,1],[6379,3],[6389,1],[6397,2],[6451,1],[6469,1],[6473,1],[6481,2],[6521,2],[6529,2],[6551,1],[6553,2],[6577,2],[6599,1],[6637,1],[6661,1],[6673,2],[6689,2],[6703,2],[6719,1],[6733,1],[6737,5],[6793,2],[6803,1],[6823,1],[6829,1],[6833,1],[6841,1],[6859,1],[6869,1],[6871,1],[6883,3],[6889,1],[6911,1],[6917,1],[6949,3],[6961,2],[6967,1],[6971,1],[6977,2],[6991,1],[6997,2],[7001,2],[7013,1],[7027,2],[7043,1],[7057,3],[7103,1],[7129,1],[7159,1],[7187,3],[7207,1],[7213,5],[7237,3],[7247,1],[7283,1],[7307,1],[7321,3],[7331,3],[7369,1],[7393,2],[7417,1],[7433,1],[7459,1],[7481,1],[7499,1],[7507,3],[7529,3],[7541,1],[7549,5],[7559,5],[7573,1],[7583,1],[7589,2],[7591,1],[7603,1],[7643,3],[7669,7],[7681,3],[7687,2],[7703,1],[7717,3],[7723,5],[7757,1],[7759,2],[7789,1],[7823,1],[7829,3],[7841,1],[7877,1],[7879,1],[7883,3],[7901,1],[7907,1],[7919,2],[7921,1],[7933,3],[7937,2],[7949,1],[7963,1],[8009,3],[8039,5],[8053,1],[8059,1],[8069,3],[8087,1],[8089,9],[8101,1],[8117,5],[8147,3],[8161,3],[8167,1],[8171,2],[8179,1],[8191,1],[8231,1],[8237,2],[8263,1],[8269,3],[8273,2],[8293,1],[8297,2],[8329,3],[8353,3],[8363,1],[8377,5],[8389,1],[8443,5],[8447,1],[8461,2],[8521,1],[8537,3],[8539,1],[8563,1],[8573,1],[8609,1],[8623,1],[8647,3],[8663,3],[8677,1],[8699,1],[8719,2],[8741,1],[8753,1],[8837,3],[8849,1],[8861,1],[8863,2],[8867,1],[8887,3],[8929,1],[8933,1],[8941,1],[8951,2],[8963,3],[8969,1],[9001,3],[9007,1],[9011,1],[9013,3],[9029,1],[9041,3],[9043,1],[9049,2],[9059,2],[9109,3],[9127,2],[9173,1],[9181,1],[9199,3],[9221,1],[9257,5],[9283,3],[9323,2],[9337,3],[9341,1],[9343,1],[9371,1],[9377,5],[9391,1],[9403,1],[9409,3],[9413,2],[9419,2],[9421,3],[9431,1],[9437,1],[9461,1],[9463,3],[9479,1],[9491,1],[9497,1],[9521,1],[9533,2],[9539,2],[9547,1],[9551,5],[9587,2],[9613,1],[9619,1],[9623,1],[9649,1],[9661,1],[9679,2],[9689,1],[9697,3],[9719,3],[9721,2],[9733,3],[9739,2],[9743,2],[9767,5],[9769,1],[9781,1],[9787,1],[9803,5],[9817,2],[9829,1],[9839,1],[9851,1],[9857,1],[9871,1],[9883,1],[9929,2],[9941,2],[9967,2],[10007,1],[10009,1],[10039,2],[10067,1],[10069,1],[10091,3],[10093,1],[10103,2],[10111,3],[10139,1],[10151,1],[10159,1],[10163,2],[10177,2],[10181,1],[10193,1],[10223,1],[10247,1],[10259,3],[10267,1],[10273,1],[10303,1],[10321,3],[10343,2],[10357,1],[10399,1],[10457,1],[10499,2],[10529,1],[10531,2],[10589,3],[10597,3],[10607,5],[10613,1],[10627,1],[10687,1],[10691,3],[10711,2],[10729,1],[10733,1],[10739,2],[10753,1],[10771,1],[10789,1],[10837,3],[10847,1],[10883,1],[10889,2],[10939,3],[10949,5],[10979,1],[10987,3],[10993,1],[11027,1],[11057,1],[11059,1],[11117,2],[11119,1],[11149,2],[11159,2],[11171,3],[11173,1],[11197,1],[11213,5],[11243,2],[11257,1],[11261,1],[11299,1],[11329,1],[11399,1],[11411,1],[11437,2],[11447,1],[11449,1],[11467,3],[11489,1],[11551,1],[11597,5],[11617,1],[11657,1],[11677,1],[11681,3],[11699,2],[11701,1],[11717,3],[11719,1],[11731,1],[11777,5],[11789,2],[11839,1],[11887,5],[11909,1],[11923,2],[11927,1],[11941,1],[11969,1],[11971,3],[11981,1],[11987,2],[12007,1],[12011,2],[12037,3],[12043,1],[12049,1],[12071,2],[12107,1],[12109,1],[12113,1],[12119,5],[12143,1],[12157,3],[12197,5],[12241,1],[12253,3],[12263,3],[12269,1],[12277,1],[12281,3],[12289,2],[12323,1],[12343,3],[12347,2],[12373,1],[12377,5],[12379,1],[12401,1],[12409,1],[12413,1],[12421,1],[12433,1],[12451,1],[12473,1],[12479,1],[12487,1],[12491,1],[12511,2],[12517,1],[12541,3],[12553,1],[12589,1],[12613,2],[12641,3],[12647,3],[12653,1],[12659,1],[12671,1],[12689,1],[12697,3],[12739,1],[12743,3],[12763,1],[12791,2],[12823,2],[12829,1],[12841,3],[12853,1],[12889,2],[12911,1],[12923,5],[12959,1],[12967,1],[12979,2],[12983,1],[13033,3],[13037,1],[13043,1],[13049,3],[13063,1],[13099,1],[13109,1],[13147,1],[13159,1],[13163,2],[13183,3],[13217,1],[13229,2],[13297,1],[13309,3],[13313,1],[13337,1],[13339,3],[13397,1],[13411,1],[13469,1],[13477,1],[13499,1],[13513,2],[13537,1],[13553,1],[13567,1],[13577,5],[13597,1],[13619,1],[13627,1],[13649,1],[13669,3],[13681,1],[13687,1],[13691,3],[13697,1],[13709,1],[13711,5],[13721,5],[13723,3],[13729,1],[13763,3],[13789,1],[13831,3],[13873,2],[13877,1],[13907,1],[13931,1],[13963,1],[13967,1],[13997,1],[13999,1],[14011,3],[14029,1],[14051,1],[14071,1],[14083,1],[14143,2],[14149,1],[14153,1],[14173,1],[14177,1],[14221,3],[14243,1],[14249,1],[14251,2],[14281,2],[14293,3],[14321,1],[14327,1],[14347,1],[14389,1],[14401,1],[14419,1],[14431,1],[14447,1],[14449,2],[14461,1],[14479,1],[14489,2],[14503,1],[14519,3],[14563,2],[14621,1],[14627,3],[14639,3],[14653,1],[14683,2],[14713,1],[14717,3],[14723,1],[14737,15],[14747,1],[14767,1],[14779,5],[14813,1],[14821,1],[14827,1],[14831,1],[14851,3],[14869,3],[14879,1],[14891,7],[14897,3],[14923,2],[14939,2],[14969,3],[14983,1],[15031,1],[15053,1],[15061,3],[15073,1],[15077,1],[15107,1],[15131,1],[15139,1],[15161,1],[15187,1],[15193,2],[15199,1],[15217,1],[15227,1],[15233,1],[15263,1],[15271,1],[15287,1],[15307,1],[15313,2],[15349,1],[15361,3],[15373,1],[15391,1],[15413,1],[15439,1],[15443,1],[15461,3],[15493,1],[15511,15],[15541,2],[15551,9],[15569,1],[15601,1],[15607,1],[15619,3],[15625,4],[15629,3],[15641,1],[15647,1],[15649,1],[15667,1],[15671,2],[15683,3],[15727,2],[15731,1],[15737,3],[15761,1],[15767,2],[15791,1],[15803,5],[15817,2],[15823,1],[15859,1],[15881,9],[15887,1],[15907,1],[15913,1],[15923,1],[15937,2],[15959,2],[15971,1],[15991,2],[16001,1],[16007,3],[16033,1],[16067,1],[16069,2],[16073,1],[16097,1],[16103,2],[16111,1],[16127,1],[16129,1],[16141,1],[16183,1],[16189,1],[16217,2],[16223,2],[16229,2],[16249,1],[16273,7],[16301,2],[16319,1],[16333,1],[16339,1],[16361,3],[16363,1],[16381,1],[16493,1],[16529,1],[16547,1],[16553,2],[16561,1],[16603,1],[16607,1],[16619,3],[16651,1],[16691,1],[16699,2],[16747,5],[16759,1],[16787,1],[16811,3],[16823,3],[16831,1],[16843,3],[16871,1],[16901,1],[16921,1],[16931,1],[16937,1],[16979,1],[16981,1],[16993,3],[17033,1],[17041,1],[17093,1],[17107,1],[17123,1],[17159,1],[17161,1],[17167,2],[17191,1],[17207,1],[17231,1],[17239,5],[17257,1],[17291,1],[17299,2],[17321,1],[17327,1],[17333,2],[17341,3],[17359,1],[17393,1],[17431,9],[17443,1],[17467,1],[17471,5],[17483,2],[17489,2],[17491,1],[17497,5],[17509,1],[17519,2],[17569,1],[17579,1],[17581,1],[17609,1],[17657,3],[17659,1],[17669,1],[17683,3],[17729,3],[17761,1],[17789,2],[17851,1],[17863,1],[17903,1],[17921,1],[17923,1],[17939,1],[17957,1],[17971,1],[17981,2],[17989,1],[18047,1],[18049,1],[18059,1],[18089,2],[18097,2],[18119,1],[18121,1],[18127,1],[18131,2],[18143,3],[18169,1],[18191,1],[18211,3],[18217,2],[18223,1],[18229,1],[18233,5],[18251,3],[18257,1],[18289,1],[18307,2],[18313,2],[18353,1],[18397,3],[18401,2],[18427,2],[18433,3],[18439,2],[18443,1],[18451,1],[18481,1],[18493,1],[18503,1],[18523,1],[18539,2],[18583,1],[18637,1],[18701,1],[18719,3],[18731,1],[18743,1],[18749,1],[18757,3],[18769,1],[18773,1],[18839,2],[18899,1],[18911,5],[18913,1],[18917,3],[18947,1],[18959,1],[18979,2],[19001,2],[19009,2],[19013,1],[19031,1],[19069,1],[19081,1],[19139,3],[19141,1],[19181,2],[19183,1],[19213,1],[19231,1],[19237,3],[19267,1],[19273,2],[19301,1],[19319,1],[19333,1],[19381,2],[19391,1],[19421,3],[19423,5],[19427,3],[19429,1],[19463,3],[19477,1],[19483,1],[19489,1],[19501,1],[19507,2],[19531,2],[19541,1],[19543,1],[19559,3],[19571,3],[19577,5],[19583,3],[19661,1],[19697,1],[19699,2],[19709,1],[19739,2],[19751,1],[19759,3],[19801,2],[19813,1],[19819,3],[19853,1],[19861,1],[19867,3],[19889,1],[19891,5],[19919,1],[19949,1],[19991,1],[19993,5],[19997,2],[20011,1],[20047,1],[20051,3],[20063,1],[20117,2],[20123,2],[20143,7],[20173,1],[20201,2],[20233,1],[20261,1],[20269,1],[20287,1],[20297,2],[20327,1],[20333,1],[20341,1],[20353,1],[20359,3],[20389,1],[20399,1],[20407,3],[20431,1],[20441,2],[20443,1],[20479,1],[20483,1],[20521,2],[20543,1],[20549,1],[20563,2],[20593,2],[20627,3],[20639,1],[20641,1],[20681,2],[20693,1],[20707,2],[20731,1],[20743,1],[20749,1],[20773,2],[20789,1],[20857,1],[20887,7],[20897,1],[20903,2],[20921,1],[20939,1],[20959,3],[20963,2],[20981,3],[20983,2],[21001,1],[21011,1],[21013,3],[21017,2],[21019,2],[21023,1],[21031,1],[21059,1],[21061,1],[21067,1],[21101,1],[21107,1],[21121,1],[21139,1],[21179,1],[21191,1],[21221,1],[21227,1],[21247,1],[21269,5],[21277,3],[21283,1],[21313,1],[21317,1],[21323,1],[21341,2],[21347,1],[21377,1],[21379,5],[21433,1],[21467,2],[21491,5],[21499,3],[21521,1],[21529,1],[21563,1],[21569,1],[21587,2],[21589,3],[21599,1],[21601,1],[21611,3],[21613,1],[21617,2],[21661,1],[21673,1],[21713,3],[21739,1],[21757,5],[21767,3],[21773,1],[21821,5],[21863,1],[21871,1],[21881,1],[21893,1],[21937,2],[21943,1],[21961,2],[21977,1],[22013,5],[22027,1],[22031,1],[22039,1],[22067,1],[22079,1],[22109,1],[22111,3],[22123,2],[22129,1],[22133,2],[22147,1],[22153,3],[22159,1],[22171,1],[22189,1],[22247,1],[22259,1],[22279,1],[22283,3],[22291,1],[22307,1],[22349,1],[22367,1],[22369,1],[22381,1],[22391,3],[22409,1],[22433,3],[22453,2],[22469,1],[22483,3],[22511,1],[22541,1],[22567,1],[22613,1],[22621,1],[22637,1],[22643,1],[22651,3],[22717,1],[22739,1],[22751,2],[22769,2],[22777,3],[22787,2],[22817,3],[22853,1],[22859,1],[22861,1],[22877,1],[22901,3],[22907,3],[22963,1],[22973,3],[22993,2],[23003,1],[23021,3],[23027,7],[23039,1],[23057,1],[23071,1],[23081,2],[23173,1],[23189,3],[23201,2],[23203,1],[23291,2],[23293,1],[23297,2],[23311,3],[23321,1],[23327,1],[23339,1],[23357,2],[23369,3],[23399,2],[23431,2],[23447,1],[23459,1],[23497,1],[23509,2],[23539,1],[23549,1],[23561,2],[23563,1],[23567,1],[23593,1],[23599,1],[23603,3],[23609,1],[23623,1],[23627,2],[23633,5],[23663,1],[23677,1],[23687,3],[23689,3],[23719,1],[23743,2],[23747,1],[23753,5],[23789,1],[23801,1],[23813,1],[23819,3],[23827,1],[23833,1],[23857,2],[23879,1],[23887,5],[23893,3],[23899,1],[23909,2],[23917,2],[23971,3],[23993,1],[24023,2],[24043,1],[24061,1],[24071,1],[24083,1],[24103,5],[24107,2],[24109,5],[24133,1],[24169,1],[24203,1],[24223,1],[24239,1],[24247,9],[24281,1],[24317,1],[24329,3],[24337,1],[24371,1],[24379,1],[24391,1],[24407,1],[24413,1],[24419,2],[24421,1],[24439,1],[24443,3],[24469,1],[24473,3],[24481,1],[24517,2],[24527,5],[24571,3],[24593,3],[24623,1],[24677,1],[24683,1],[24733,2],[24749,1],[24767,1],[24809,1],[24821,3],[24847,2],[24851,1],[24859,1],[24917,3],[24919,5],[24943,1],[24967,1],[24971,3],[24979,2],[24989,1],[25033,9],[25037,3],[25073,1],[25097,1],[25111,1],[25127,1],[25147,1],[25153,3],[25163,1],[25169,1],[25183,1],[25219,1],[25229,2],[25237,1],[25261,3],[25303,3],[25307,1],[25309,1],[25321,2],[25339,9],[25343,1],[25349,3],[25367,1],[25373,1],[25409,2],[25411,1],[25423,1],[25453,3],[25469,1],[25523,1],[25561,1],[25589,1],[25601,3],[25609,1],[25621,1],[25633,1],[25639,3],[25643,2],[25657,2],[25673,3],[25693,1],[25703,1],[25717,1],[25747,2],[25759,3],[25771,2],[25793,9],[25819,3],[25841,2],[25849,1],[25867,1],[25873,3],[25889,2],[25913,1],[25943,1],[25999,1],[26003,1],[26021,1],[26041,1],[26053,1],[26083,1],[26099,1],[26113,1],[26119,1],[26141,3],[26153,1],[26161,1],[26177,2],[26189,1],[26203,1],[26227,1],[26237,1],[26263,3],[26267,1],[26309,3],[26317,2],[26339,1],[26357,5],[26371,1],[26387,2],[26393,2],[26399,3],[26407,3],[26417,1],[26423,1],[26449,1],[26459,3],[26497,1],[26513,1],[26539,3],[26557,1],[26591,1],[26597,1],[26669,3],[26681,1],[26683,1],[26687,3],[26693,2],[26699,3],[26701,3],[26713,1],[26717,1],[26729,2],[26731,3],[26759,2],[26813,1],[26833,3],[26849,1],[26879,1],[26903,1],[26921,1],[26927,3],[26953,1],[26993,1],[27011,2],[27059,3],[27061,1],[27073,3],[27107,1],[27127,1],[27143,2],[27179,1],[27191,1],[27211,1],[27239,1],[27241,1],[27253,1],[27271,2],[27277,2],[27329,1],[27367,7],[27407,1],[27431,2],[27449,1],[27457,1],[27481,1],[27487,1],[27509,5],[27527,3],[27539,1],[27541,3],[27551,3],[27583,1],[27611,1],[27617,1],[27631,1],[27653,5],[27697,3],[27701,1],[27733,1],[27739,3],[27743,3],[27749,1],[27751,1],[27773,1],[27791,1],[27793,1],[27809,2],[27823,1],[27827,3],[27847,1],[27851,1],[27901,1],[27919,1],[27947,1],[27953,3],[27961,1],[28001,1],[28031,1],[28051,2],[28057,1],[28081,2],[28087,1],[28097,5],[28099,1],[28109,3],[28181,2],[28201,3],[28211,7],[28229,1],[28277,1],[28279,3],[28289,3],[28297,1],[28307,1],[28309,5],[28351,2],[28393,1],[28403,1],[28409,2],[28411,1],[28439,7],[28499,1],[28513,1],[28517,2],[28537,3],[28541,1],[28549,3],[28571,1],[28573,1],[28579,2],[28591,3],[28607,2],[28619,1],[28621,2],[28627,2],[28643,2],[28649,1],[28657,1],[28663,5],[28687,2],[28703,1],[28711,2],[28723,1],[28729,2],[28751,1],[28771,1],[28789,3],[28813,1],[28817,1],[28843,1],[28859,1],[28871,2],[28879,1],[28901,1],[28909,2],[28933,3],[28961,1],[28979,5],[29009,1],[29017,3],[29023,5],[29033,1],[29101,5],[29123,1],[29129,1],[29137,1],[29147,1],[29173,1],[29179,1],[29201,1],[29221,1],[29269,1],[29311,2],[29333,1],[29363,3],[29383,7],[29387,3],[29399,3],[29401,2],[29411,1],[29429,1],[29453,3],[29501,1],[29527,5],[29531,1],[29537,3],[29567,1],[29573,1],[29587,1],[29611,3],[29629,2],[29633,2],[29641,5],[29663,1],[29669,1],[29741,1],[29753,1],[29759,1],[29803,1],[29833,1],[29837,3],[29851,3],[29867,2],[29873,3],[29917,1],[29947,5],[29983,1],[30011,1],[30013,1],[30029,1],[30059,5],[30071,3],[30091,1],[30103,1],[30119,1],[30133,1],[30139,1],[30161,1],[30169,1],[30187,3],[30197,2],[30211,1],[30241,1],[30253,5],[30269,3],[30293,5],[30313,1],[30319,1],[30341,1],[30347,2],[30389,1],[30391,1],[30403,1],[30431,9],[30449,2],[30467,1],[30469,1],[30491,3],[30493,1],[30529,2],[30539,2],[30559,1],[30637,3],[30661,1],[30671,1],[30689,1],[30697,1],[30707,1],[30713,1],[30773,1],[30781,1],[30803,1],[30809,1],[30817,1],[30829,3],[30839,2],[30851,1],[30859,1],[30893,2],[30911,5],[30931,3],[30949,5],[30971,1],[30977,2],[31019,2],[31063,1],[31079,2],[31121,3],[31123,1],[31147,1],[31151,1],[31153,1],[31159,2],[31177,2],[31189,5],[31223,2],[31237,2],[31247,1],[31253,1],[31259,1],[31271,1],[31277,1],[31321,1],[31333,1],[31337,1],[31397,1],[31511,2],[31513,1],[31543,1],[31547,1],[31573,3],[31607,1],[31627,1],[31649,3],[31657,1],[31667,1],[31723,1],[31769,1],[31771,5],[31817,2],[31849,1],[31883,1],[31891,1],[31907,1],[31991,1],[32003,2],[32009,1],[32029,1],[32051,1],[32059,2],[32063,1],[32069,3],[32077,1],[32117,3],[32119,2],[32159,2],[32173,3],[32189,1],[32203,2],[32233,1],[32237,1],[32251,1],[32257,2],[32261,2],[32297,1],[32299,2],[32303,1],[32309,1],[32321,1],[32327,2],[32341,3],[32359,1],[32363,2],[32401,2],[32411,1],[32413,1],[32429,2],[32441,1],[32479,3],[32503,1],[32507,2],[32531,1],[32533,1],[32537,1],[32561,2],[32563,1],[32569,1],[32611,1],[32633,5],[32693,5],[32717,1],[32749,2],[32779,3],[32783,2],[32789,5],[32797,1],[32833,2],[32843,3],[32869,1],[32887,1],[32909,1],[32911,1],[32933,1],[32939,1],[32941,3],[32969,1],[33013,1],[33023,1],[33029,5],[33049,1],[33053,2],[33083,3],[33091,5],[33113,5],[33119,3],[33149,1],[33151,1],[33179,1],[33181,1],[33191,1],[33203,5],[33223,1],[33247,2],[33287,9],[33289,3],[33301,1],[33311,1],[33317,1],[33331,3],[33347,1],[33353,1],[33359,1],[33391,2],[33403,2],[33409,1],[33427,2],[33461,2],[33479,1],[33503,1],[33521,1],[33529,1],[33547,1],[33563,1],[33587,1],[33589,1],[33599,1],[33617,2],[33637,1],[33641,1],[33703,5],[33739,1],[33749,2],[33751,3],[33757,1],[33767,2],[33769,1],[33773,1],[33791,1],[33809,2],[33811,1],[33829,1],[33857,1],[33889,3],[33893,9],[33911,2],[33923,2],[33937,1],[33961,1],[34033,1],[34039,1],[34057,1],[34123,3],[34127,1],[34129,3],[34159,1],[34171,1],[34211,1],[34217,1],[34231,1],[34253,3],[34261,2],[34297,2],[34301,1],[34303,1],[34319,1],[34327,1],[34351,3],[34361,3],[34381,1],[34403,1],[34457,1],[34471,1],[34487,1],[34513,1],[34537,5],[34549,2],[34583,1],[34591,1],[34603,1],[34631,1],[34649,1],[34693,3],[34721,1],[34729,2],[34757,1],[34819,1],[34841,1],[34843,1],[34847,1],[34849,1],[34871,3],[34913,1],[34939,2],[34949,1],[34961,1],[34981,3],[35023,1],[35027,2],[35053,3],[35069,1],[35083,1],[35089,1],[35107,2],[35117,1],[35149,2],[35153,2],[35171,1],[35221,1],[35251,3],[35257,3],[35267,1],[35281,3],[35291,9],[35323,1],[35327,1],[35339,2],[35353,7],[35393,1],[35419,2],[35423,2],[35447,1],[35491,3],[35521,1],[35543,3],[35573,2],[35591,1],[35671,1],[35731,1],[35747,1],[35753,1],[35797,2],[35809,1],[35831,3],[35839,5],[35897,3],[35933,1],[35951,2],[35963,5],[35977,7],[35999,1],[36007,3],[36017,1],[36067,3],[36073,1],[36097,1],[36109,1],[36161,1],[36187,1],[36217,1],[36229,1],[36241,1],[36251,1],[36277,2],[36293,2],[36307,2],[36313,1],[36319,2],[36341,1],[36343,3],[36383,2],[36467,2],[36473,1],[36479,1],[36481,3],[36527,1],[36529,1],[36541,1],[36551,1],[36559,2],[36563,2],[36571,2],[36587,1],[36637,1],[36643,1],[36653,3],[36677,2],[36691,5],[36739,2],[36779,2],[36781,2],[36793,1],[36809,1],[36821,1],[36847,5],[36877,1],[36887,1],[36899,3],[36901,1],[36913,2],[36919,3],[36923,1],[36929,3],[36943,1],[36997,2],[37019,1],[37039,2],[37049,1],[37087,1],[37097,1],[37139,1],[37159,3],[37171,1],[37181,3],[37189,1],[37223,3],[37273,1],[37309,1],[37321,1],[37339,1],[37369,1],[37397,2],[37409,5],[37441,5],[37463,2],[37483,1],[37489,1],[37493,1],[37511,1],[37537,2],[37567,3],[37579,5],[37589,1],[37591,3],[37607,3],[37643,3],[37649,5],[37657,1],[37663,2],[37691,1],[37693,1],[37747,1],[37781,2],[37783,1],[37811,3],[37813,5],[37847,1],[37861,1],[37897,1],[37907,3],[37951,5],[37991,1],[38011,1],[38047,2],[38053,3],[38083,2],[38149,1],[38197,2],[38201,1],[38231,3],[38239,1],[38287,3],[38321,3],[38327,1],[38371,2],[38393,1],[38449,5],[38461,1],[38543,7],[38557,3],[38603,1],[38609,3],[38639,1],[38651,2],[38669,1],[38677,5],[38693,1],[38707,3],[38723,7],[38729,1],[38737,1],[38747,1],[38749,5],[38767,2],[38783,1],[38809,4],[38821,1],[38833,1],[38861,5],[38891,1],[38903,1],[38917,1],[38921,1],[38953,1],[38959,1],[38971,1],[38977,2],[39019,1],[39023,1],[39043,5],[39047,2],[39079,3],[39089,1],[39097,2],[39107,1],[39113,2],[39133,1],[39139,1],[39161,1],[39163,2],[39191,1],[39199,3],[39209,1],[39229,1],[39293,1],[39301,1],[39313,1],[39317,2],[39323,1],[39367,2],[39373,2],[39397,1],[39409,1],[39439,2],[39443,2],[39451,1],[39461,1],[39503,2],[39509,1],[39511,2],[39551,3],[39569,2],[39607,2],[39619,1],[39631,1],[39667,1],[39679,1],[39703,1],[39719,1],[39733,1],[39769,1],[39791,5],[39827,2],[39863,5],[39877,1],[39883,2],[39929,1],[39937,2],[39953,1],[39971,1],[39983,1],[39989,3],[40013,3],[40031,5],[40037,1],[40063,1],[40087,1],[40093,1],[40099,3],[40111,1],[40123,2],[40127,1],[40151,2],[40153,3],[40169,2],[40177,1],[40189,1],[40237,1],[40277,2],[40289,3],[40351,2],[40357,2],[40361,1],[40387,1],[40423,1],[40433,2],[40471,5],[40519,1],[40529,1],[40531,1],[40559,1],[40577,2],[40591,1],[40597,1],[40609,2],[40637,5],[40693,1],[40709,1],[40751,1],[40759,1],[40763,2],[40819,1],[40897,2],[40903,3],[40933,1],[40949,1],[40961,3],[40993,1],[41011,1],[41023,1],[41039,2],[41051,1],[41057,1],[41081,3],[41113,5],[41117,1],[41131,1],[41161,3],[41177,2],[41201,1],[41203,3],[41227,1],[41231,5],[41243,1],[41263,1],[41269,2],[41299,5],[41341,1],[41351,1],[41381,3],[41387,1],[41411,2],[41443,1],[41479,1],[41491,1],[41507,1],[41519,1],[41521,2],[41539,1],[41549,2],[41579,1],[41609,2],[41611,2],[41621,1],[41627,3],[41647,1],[41669,2],[41681,3],[41687,1],[41719,1],[41759,2],[41771,7],[41801,3],[41843,5],[41849,1],[41879,1],[41887,1],[41893,5],[41897,2],[41903,1],[41911,1],[41957,2],[41959,1],[41981,1],[41983,2],[42013,2],[42017,1],[42043,2],[42071,1],[42073,1],[42083,2],[42089,3],[42131,3],[42157,3],[42169,1],[42181,2],[42193,3],[42223,3],[42227,2],[42239,1],[42281,1],[42283,1],[42293,1],[42323,2],[42331,1],[42337,5],[42349,1],[42373,1],[42407,3],[42433,3],[42443,3],[42451,1],[42457,1],[42461,1],[42463,5],[42467,1],[42473,1],[42499,1],[42533,3],[42557,1],[42569,1],[42571,1],[42589,3],[42611,1],[42641,1],[42667,1],[42677,1],[42683,1],[42697,1],[42701,1],[42719,2],[42727,1],[42743,1],[42751,1],[42829,5],[42839,1],[42841,1],[42859,2],[42863,1],[42899,2],[42901,1],[42937,3],[42953,1],[42961,1],[43003,1],[43013,1],[43019,5],[43037,1],[43049,2],[43051,1],[43063,3],[43093,1],[43133,5],[43159,5],[43189,1],[43201,1],[43207,1],[43237,2],[43261,1],[43271,1],[43283,2],[43313,1],[43321,2],[43397,1],[43399,1],[43403,3],[43457,1],[43481,1],[43487,1],[43499,2],[43541,3],[43543,1],[43573,1],[43577,1],[43597,1],[43607,3],[43613,1],[43627,2],[43649,3],[43691,1],[43711,1],[43717,3],[43721,2],[43753,1],[43759,1],[43777,1],[43781,1],[43787,1],[43793,1],[43867,3],[43891,2],[43913,1],[43963,1],[44027,1],[44029,1],[44053,2],[44071,3],[44087,1],[44111,2],[44119,5],[44123,2],[44131,1],[44159,1],[44171,1],[44179,1],[44189,3],[44201,1],[44203,9],[44207,1],[44249,1],[44257,2],[44263,1],[44269,1],[44273,2],[44281,3],[44357,2],[44371,2],[44389,1],[44417,9],[44449,7],[44491,1],[44501,3],[44521,3],[44533,1],[44633,1],[44641,1],[44651,1],[44683,2],[44687,1],[44699,1],[44753,1],[44771,1],[44777,2],[44789,1],[44839,3],[44843,2],[44867,3],[44879,1],[44887,1],[44893,3],[44909,2],[44917,3],[44953,1],[44959,1],[44971,2],[45013,5],[45061,2],[45119,1],[45131,9],[45161,1],[45179,3],[45197,5],[45247,1],[45281,1],[45289,1],[45317,1],[45319,1],[45337,1],[45341,5],[45377,3],[45389,1],[45427,1],[45433,1],[45439,2],[45481,1],[45491,1],[45503,1],[45523,1],[45553,1],[45557,3],[45587,1],[45589,1],[45613,3],[45631,2],[45659,3],[45667,1],[45673,1],[45677,1],[45691,1],[45697,1],[45707,1],[45751,5],[45763,5],[45817,3],[45833,2],[45853,2],[45863,1],[45893,1],[45943,1],[45953,2],[45971,1],[45989,1],[46021,1],[46049,1],[46051,2],[46061,1],[46091,1],[46093,2],[46099,1],[46141,2],[46153,2],[46171,1],[46183,1],[46187,1],[46237,1],[46261,1],[46301,1],[46307,1],[46309,1],[46337,1],[46349,1],[46411,1],[46441,1],[46447,1],[46451,2],[46471,1],[46489,3],[46507,2],[46523,1],[46567,1],[46573,1],[46601,1],[46649,1],[46663,1],[46679,1],[46687,1],[46691,1],[46703,1],[46769,1],[46771,1],[46811,3],[46829,1],[46831,9],[46861,1],[46877,1],[46901,3],[46957,3],[46997,3],[47017,2],[47051,2],[47057,1],[47087,3],[47093,1],[47119,2],[47129,2],[47143,1],[47207,3],[47221,5],[47237,5],[47251,1],[47269,2],[47279,2],[47339,1],[47363,3],[47381,1],[47387,1],[47389,1],[47407,1],[47419,1],[47459,1],[47491,1],[47501,1],[47507,1],[47543,1],[47563,5],[47599,1],[47623,1],[47639,1],[47699,5],[47713,1],[47737,1],[47741,2],[47777,3],[47779,5],[47809,1],[47819,1],[47837,2],[47857,1],[47939,2],[47963,3],[47981,1],[48023,2],[48079,1],[48091,1],[48109,2],[48119,1],[48121,2],[48131,1],[48157,1],[48179,2],[48187,1],[48193,1],[48197,1],[48221,1],[48239,1],[48247,5],[48299,3],[48311,2],[48313,1],[48337,2],[48353,1],[48371,2],[48383,9],[48413,5],[48437,1],[48463,1],[48473,1],[48481,1],[48487,3],[48491,1],[48533,1],[48571,2],[48611,1],[48619,1],[48623,3],[48647,1],[48649,1],[48677,1],[48751,1],[48767,1],[48779,3],[48787,1],[48799,1],[48809,1],[48817,1],[48821,1],[48823,2],[48847,1],[48869,1],[48883,1],[48889,5],[48907,3],[48947,2],[48973,1],[49009,1],[49019,1],[49037,1],[49043,1],[49103,1],[49109,2],[49117,2],[49121,2],[49123,1],[49157,2],[49169,3],[49171,1],[49199,1],[49207,3],[49223,2],[49261,1],[49277,1],[49307,1],[49331,2],[49333,1],[49363,1],[49367,1],[49409,1],[49417,2],[49429,1],[49433,1],[49451,1],[49459,2],[49463,1],[49481,1],[49499,1],[49537,3],[49547,5],[49613,1],[49633,1],[49667,1],[49681,1],[49727,9],[49757,1],[49783,1],[49787,1],[49801,2],[49807,1],[49823,2],[49831,2],[49843,2],[49853,1],[49871,1],[49877,1],[49891,5],[49927,1],[49939,7],[49943,2],[49957,1],[49991,1],[49993,1],[50021,1],[50023,1],[50047,3],[50053,1],[50077,3],[50093,3],[50101,2],[50119,5],[50123,1],[50131,1],[50147,1],[50153,2],[50207,3],[50221,1],[50227,1],[50231,1],[50261,1],[50263,1],[50287,3],[50311,1],[50321,1],[50333,3],[50341,1],[50387,3],[50411,1],[50441,7],[50459,1],[50497,1],[50513,2],[50527,1],[50549,1],[50581,2],[50587,1],[50591,1],[50593,1],[50599,1],[50647,1],[50651,1],[50707,1],[50723,1],[50741,1],[50767,3],[50773,3],[50777,2],[50789,1],[50821,1],[50833,2],[50839,2],[50849,1],[50873,1],[50923,2],[50929,2],[50951,2],[50957,3],[50971,3],[50989,1],[51061,1],[51071,3],[51133,2],[51193,5],[51197,2],[51203,3],[51263,1],[51283,2],[51287,1],[51343,2],[51347,1],[51349,1],[51383,1],[51407,3],[51419,5],[51439,1],[51449,1],[51479,1],[51487,5],[51503,3],[51511,2],[51521,2],[51529,1],[51539,1],[51563,1],[51581,1],[51593,1],[51599,5],[51613,1],[51631,1],[51691,2],[51719,2],[51749,3],[51767,3],[51769,1],[51803,2],[51817,2],[51827,2],[51829,2],[51839,2],[51853,1],[51869,7],[51871,1],[51907,1],[51929,1],[51941,3],[51949,1],[51971,1],[51977,3],[51991,1],[52009,1],[52021,1],[52027,1],[52057,3],[52067,1],[52069,1],[52103,3],[52153,2],[52163,1],[52181,1],[52183,2],[52201,3],[52223,5],[52237,1],[52249,3],[52253,1],[52259,1],[52267,3],[52291,2],[52313,3],[52361,1],[52379,1],[52387,1],[52391,1],[52433,1],[52501,1],[52517,2],[52541,2],[52553,2],[52567,5],[52571,1],[52579,1],[52583,1],[52609,2],[52639,1],[52667,3],[52673,1],[52691,1],[52697,1],[52711,1],[52721,2],[52733,1],[52747,5],[52783,5],[52807,1],[52859,2],[52861,1],[52879,2],[52883,5],[52889,1],[52901,2],[52903,1],[52919,1],[52937,1],[52951,3],[52963,1],[52967,3],[52973,2],[52999,3],[53047,2],[53069,1],[53089,1],[53161,3],[53173,1],[53197,3],[53201,1],[53231,1],[53233,1],[53239,3],[53269,2],[53279,1],[53299,2],[53309,1],[53323,1],[53327,1],[53359,1],[53377,1],[53381,3],[53401,1],[53411,2],[53441,1],[53453,2],[53503,3],[53551,1],[53609,3],[53611,1],[53623,2],[53657,2],[53681,2],[53773,1],[53777,1],[53783,1],[53791,1],[53819,1],[53831,1],[53849,2],[53857,1],[53881,1],[53887,5],[53891,3],[53897,1],[53917,1],[53923,1],[53927,1],[53939,1],[53951,3],[54001,2],[54011,1],[54013,2],[54049,5],[54059,2],[54083,1],[54091,1],[54133,3],[54139,1],[54151,1],[54167,1],[54181,3],[54193,1],[54217,1],[54269,1],[54277,1],[54287,3],[54289,3],[54293,1],[54311,3],[54323,2],[54331,1],[54367,3],[54401,2],[54403,1],[54409,1],[54413,5],[54419,3],[54421,1],[54449,1],[54469,1],[54503,3],[54517,1],[54521,1],[54539,7],[54541,3],[54547,1],[54559,1],[54563,1],[54577,1],[54583,9],[54601,3],[54623,1],[54629,1],[54631,1],[54667,1],[54679,2],[54709,3],[54721,3],[54727,1],[54751,1],[54799,2],[54829,1],[54851,1],[54869,1],[54877,1],[54881,1],[54907,1],[54941,5],[54949,1],[54973,3],[54979,1],[54983,2],[55001,3],[55009,1],[55051,1],[55057,1],[55061,1],[55079,1],[55103,5],[55147,3],[55163,1],[55217,3],[55219,1],[55243,3],[55249,1],[55259,3],[55313,3],[55333,1],[55343,1],[55373,1],[55411,3],[55441,1],[55487,9],[55501,1],[55529,1],[55541,3],[55579,1],[55589,1],[55603,1],[55631,2],[55639,1],[55661,3],[55673,2],[55697,5],[55711,1],[55721,1],[55733,3],[55763,1],[55787,1],[55793,1],[55799,1],[55813,1],[55829,1],[55837,1],[55849,1],[55889,2],[55897,2],[55921,1],[55933,1],[55967,5],[55987,1],[55997,2],[56039,1],[56041,1],[56053,1],[56087,1],[56099,1],[56123,3],[56131,1],[56167,1],[56179,1],[56207,1],[56237,2],[56249,1],[56269,2],[56299,1],[56311,1],[56369,1],[56417,1],[56431,1],[56443,2],[56453,1],[56477,7],[56479,5],[56501,1],[56503,1],[56519,2],[56527,1],[56531,1],[56543,1],[56597,1],[56599,1],[56611,1],[56633,1],[56659,1],[56663,1],[56671,1],[56731,3],[56737,2],[56747,3],[56767,1],[56773,2],[56779,2],[56783,3],[56807,1],[56809,1],[56813,1],[56827,2],[56843,1],[56857,2],[56893,1],[56909,1],[56911,1],[56923,1],[56929,9],[56941,1],[56951,2],[56963,1],[56983,1],[56993,1],[57041,1],[57059,2],[57073,1],[57077,1],[57097,1],[57107,1],[57121,3],[57139,1],[57143,1],[57191,2],[57193,1],[57203,1],[57223,2],[57251,1],[57259,2],[57269,5],[57271,1],[57287,2],[57347,3],[57373,1],[57383,3],[57389,3],[57397,1],[57427,1],[57457,1],[57487,1],[57493,1],[57527,1],[57529,3],[57559,1],[57587,2],[57637,7],[57641,1],[57667,1],[57679,2],[57689,1],[57709,1],[57713,3],[57719,1],[57727,1],[57731,2],[57751,1],[57773,5],[57793,2],[57803,3],[57809,1],[57839,1],[57847,1],[57859,1],[57923,2],[57947,1],[57973,1],[57977,1],[58027,5],[58057,1],[58061,1],[58081,12],[58099,2],[58109,1],[58169,2],[58207,1],[58211,1],[58217,1],[58229,1],[58231,1],[58237,2],[58243,1],[58309,2],[58321,1],[58337,1],[58369,1],[58379,5],[58393,1],[58403,1],[58411,1],[58417,1],[58427,1],[58453,2],[58481,3],[58567,1],[58573,1],[58579,2],[58601,7],[58613,1],[58631,2],[58657,1],[58661,1],[58679,1],[58687,5],[58693,2],[58699,1],[58733,1],[58741,3],[58757,1],[58763,1],[58787,3],[58789,1],[58831,3],[58889,1],[58907,1],[58909,1],[58921,1],[58943,1],[58991,2],[58997,2],[59011,1],[59029,2],[59051,1],[59069,1],[59077,3],[59083,1],[59093,1],[59107,2],[59123,1],[59141,1],[59149,1],[59197,1],[59209,2],[59219,1],[59221,2],[59263,1],[59273,3],[59333,1],[59351,3],[59359,1],[59369,1],[59387,2],[59393,1],[59407,2],[59417,1],[59419,1],[59441,1],[59453,5],[59467,2],[59471,3],[59473,1],[59513,1],[59561,3],[59567,3],[59581,1],[59617,1],[59627,1],[59651,1],[59699,5],[59707,1],[59723,1],[59729,1],[59747,2],[59753,1],[59771,2],[59779,1],[59791,1],[59809,1],[59863,1],[59879,1],[59921,2],[59929,1],[59957,1],[60037,1],[60077,1],[60083,1],[60127,1],[60133,2],[60139,1],[60169,1],[60223,1],[60259,1],[60271,1],[60289,3],[60293,5],[60317,3],[60331,1],[60337,2],[60383,1],[60413,1],[60443,3],[60449,2],[60457,1],[60521,1],[60527,1],[60539,1],[60589,3],[60611,1],[60617,3],[60631,1],[60637,1],[60649,1],[60661,1],[60719,3],[60727,2],[60737,1],[60761,3],[60779,2],[60811,2],[60821,1],[60869,1],[60899,1],[60913,1],[60937,1],[60953,1],[60961,1],[61007,5],[61051,2],[61057,2],[61091,1],[61099,1],[61121,3],[61151,2],[61153,1],[61223,1],[61253,2],[61261,1],[61333,3],[61339,1],[61363,3],[61379,2],[61381,2],[61409,1],[61441,1],[61463,2],[61483,2],[61487,5],[61507,1],[61511,1],[61519,1],[61543,3],[61547,1],[61553,7],[61561,5],[61583,1],[61603,5],[61631,1],[61637,1],[61657,1],[61667,7],[61681,1],[61717,3],[61723,1],[61729,1],[61843,1],[61861,1],[61949,1],[61961,3],[61967,2],[61979,3],[61981,9],[61987,3],[62003,1],[62011,1],[62017,3],[62047,1],[62053,1],[62057,1],[62071,2],[62099,1],[62137,3],[62143,9],[62189,1],[62191,1],[62219,1],[62233,3],[62297,1],[62299,1],[62303,7],[62347,3],[62383,3],[62401,1],[62423,1],[62459,1],[62467,5],[62501,2],[62507,2],[62533,5],[62539,1],[62549,2],[62581,2],[62603,1],[62617,1],[62627,1],[62633,3],[62683,3],[62723,1],[62743,1],[62753,1],[62761,1],[62773,1],[62791,2],[62819,5],[62903,1],[62927,3],[62939,1],[62969,1],[62983,1],[62987,2],[63001,3],[63029,2],[63073,9],[63079,1],[63097,2],[63113,5],[63131,1],[63149,1],[63179,1],[63197,1],[63211,1],[63247,3],[63277,5],[63281,2],[63299,1],[63311,1],[63331,2],[63337,1],[63347,1],[63361,1],[63367,1],[63377,1],[63389,1],[63391,2],[63409,1],[63419,1],[63463,3],[63467,1],[63487,3],[63493,1],[63521,3],[63527,5],[63541,2],[63559,1],[63587,1],[63589,2],[63601,1],[63607,1],[63611,1],[63617,1],[63629,1],[63647,1],[63659,5],[63671,1],[63691,1],[63737,1],[63743,5],[63761,2],[63773,1],[63781,1],[63799,3],[63839,3],[63841,3],[63901,3],[63929,1],[63977,1],[63997,1],[64007,1],[64033,5],[64037,1],[64091,1],[64109,2],[64123,1],[64153,1],[64157,1],[64187,1],[64189,1],[64217,1],[64237,1],[64271,2],[64301,1],[64303,3],[64319,1],[64327,2],[64373,1],[64399,1],[64403,1],[64433,1],[64451,1],[64453,1],[64489,2],[64553,3],[64567,1],[64579,1],[64609,5],[64613,1],[64621,1],[64633,1],[64667,1],[64679,1],[64693,3],[64709,9],[64717,1],[64747,2],[64781,2],[64811,9],[64849,1],[64871,1],[64879,1],[64891,2],[64919,1],[64927,2],[64951,3],[64997,1],[65003,1],[65029,3],[65053,2],[65063,1],[65089,1],[65101,1],[65111,2],[65119,2],[65129,1],[65141,2],[65179,5],[65257,5],[65267,5],[65309,2],[65327,1],[65357,2],[65371,1],[65381,5],[65393,1],[65413,1],[65419,1],[65437,1],[65447,5],[65449,1],[65479,1],[65497,1],[65537,1],[65539,1],[65551,1],[65563,1],[65581,1],[65587,1],[65599,5],[65609,2],[65617,1],[65647,1],[65657,1],[65699,3],[65701,1],[65707,5],[65713,3],[65719,1],[65761,1],[65789,5],[65827,3],[65831,2],[65843,3],[65867,1],[65881,2],[65899,5],[65929,2],[65951,1],[66029,2],[66037,3],[66041,2],[66047,3],[66067,1],[66083,1],[66089,3],[66103,1],[66107,1],[66109,1],[66173,1],[66191,1],[66221,1],[66239,5],[66271,1],[66293,1],[66343,2],[66359,2],[66361,5],[66373,1],[66377,1],[66403,2],[66431,1],[66457,1],[66467,1],[66491,1],[66499,5],[66509,1],[66553,1],[66569,1],[66571,2],[66587,1],[66617,1],[66629,1],[66643,1],[66653,2],[66713,5],[66721,2],[66749,2],[66763,1],[66791,1],[66797,2],[66809,1],[66821,2],[66851,1],[66863,1],[66883,1],[66931,1],[66947,1],[66949,3],[67003,2],[67033,1],[67049,3],[67061,1],[67079,2],[67129,2],[67141,3],[67153,1],[67181,1],[67189,1],[67211,1],[67213,2],[67219,2],[67231,3],[67247,2],[67261,3],[67289,2],[67339,2],[67343,3],[67369,1],[67399,1],[67409,2],[67411,1],[67421,1],[67477,2],[67489,1],[67493,1],[67499,1],[67523,1],[67537,1],[67567,1],[67579,3],[67607,1],[67619,3],[67651,1],[67709,1],[67723,1],[67733,1],[67741,2],[67751,1],[67757,1],[67759,1],[67777,1],[67789,2],[67807,3],[67829,1],[67843,1],[67891,2],[67927,1],[67961,1],[67967,3],[67987,2],[67993,3],[68071,5],[68099,9],[68111,1],[68147,3],[68161,3],[68171,1],[68207,5],[68209,1],[68239,1],[68261,2],[68279,1],[68281,1],[68311,9],[68329,1],[68389,2],[68437,5],[68483,2],[68489,1],[68491,5],[68501,1],[68507,1],[68521,1],[68531,1],[68539,1],[68567,2],[68581,2],[68597,1],[68633,1],[68639,2],[68659,2],[68687,2],[68711,3],[68737,5],[68767,3],[68777,1],[68813,5],[68821,2],[68881,1],[68891,1],[68897,3],[68903,3],[68909,1],[68917,1],[68963,1],[69001,1],[69011,1],[69031,1],[69061,5],[69073,1],[69109,2],[69127,1],[69149,7],[69151,2],[69163,2],[69191,1],[69193,1],[69197,1],[69203,1],[69221,3],[69233,3],[69239,1],[69247,2],[69257,2],[69337,3],[69341,1],[69383,1],[69401,1],[69431,2],[69439,2],[69473,5],[69497,3],[69539,1],[69557,3],[69623,1],[69653,1],[69677,3],[69697,1],[69709,3],[69737,1],[69739,5],[69761,1],[69763,1],[69809,1],[69829,3],[69847,2],[69857,1],[69911,1],[69959,1],[69991,2],[69997,3],[70003,1],[70009,3],[70019,1],[70061,1],[70067,1],[70111,1],[70117,3],[70121,2],[70123,5],[70139,1],[70141,1],[70157,1],[70163,1],[70183,1],[70199,2],[70201,5],[70207,1],[70289,1],[70313,2],[70327,3],[70351,2],[70373,2],[70393,1],[70429,1],[70439,5],[70457,3],[70459,1],[70481,5],[70501,1],[70529,1],[70537,1],[70549,3],[70571,1],[70583,1],[70589,3],[70607,3],[70639,1],[70663,1],[70667,1],[70709,1],[70717,3],[70729,1],[70769,1],[70823,2],[70849,3],[70853,2],[70867,3],[70877,1],[70901,3],[70921,1],[70949,1],[70951,3],[70957,1],[70981,1],[70997,2],[71039,3],[71081,1],[71119,3],[71129,1],[71147,1],[71153,5],[71161,5],[71191,1],[71233,2],[71263,1],[71317,3],[71327,1],[71333,3],[71341,1],[71389,2],[71411,1],[71429,1],[71437,2],[71453,1],[71471,1],[71473,5],[71483,2],[71503,1],[71527,1],[71537,3],[71549,2],[71569,1],[71597,2],[71633,1],[71699,1],[71719,3],[71741,3],[71777,1],[71789,3],[71837,3],[71843,1],[71881,1],[71887,1],[71917,3],[71933,9],[71941,1],[71963,2],[71983,3],[71993,1],[72019,1],[72043,1],[72047,1],[72077,1],[72091,1],[72103,1],[72139,1],[72169,2],[72211,2],[72221,1],[72223,2],[72229,7],[72251,2],[72253,2],[72269,1],[72271,2],[72287,1],[72307,3],[72341,1],[72353,2],[72367,3],[72383,3],[72421,1],[72431,2],[72467,1],[72469,2],[72481,1],[72503,5],[72547,1],[72617,3],[72643,1],[72647,1],[72673,1],[72679,1],[72689,3],[72707,1],[72719,7],[72727,3],[72733,5],[72739,2],[72763,3],[72767,1],[72797,1],[72817,1],[72859,1],[72869,1],[72871,1],[72889,1],[72893,1],[72911,1],[72923,1],[72931,3],[72937,1],[72949,1],[72973,1],[72997,2],[73013,1],[73037,2],[73039,1],[73061,1],[73079,1],[73121,1],[73181,1],[73259,1],[73277,2],[73327,5],[73331,1],[73351,1],[73361,1],[73369,5],[73379,1],[73387,1],[73417,1],[73441,3],[73453,2],[73459,1],[73471,1],[73523,5],[73529,1],[73553,1],[73583,2],[73607,1],[73643,1],[73651,2],[73673,1],[73679,1],[73681,3],[73693,1],[73709,3],[73721,1],[73751,3],[73757,1],[73783,1],[73819,1],[73847,1],[73897,1],[73973,1],[74017,3],[74021,1],[74027,2],[74047,1],[74093,1],[74101,3],[74159,5],[74189,3],[74197,5],[74201,1],[74203,3],[74209,1],[74219,5],[74297,5],[74311,1],[74323,1],[74353,2],[74357,1],[74363,1],[74377,9],[74381,2],[74383,1],[74411,1],[74413,2],[74419,1],[74471,3],[74489,1],[74507,1],[74509,3],[74521,3],[74561,2],[74567,2],[74573,1],[74587,1],[74597,1],[74611,1],[74623,1],[74653,1],[74699,1],[74719,1],[74779,5],[74797,1],[74821,1],[74831,1],[74843,2],[74857,1],[74873,1],[74887,3],[74897,3],[74923,1],[74929,3],[74933,5],[75011,1],[75013,1],[75017,1],[75041,3],[75109,1],[75133,2],[75149,2],[75161,1],[75169,1],[75209,1],[75217,1],[75223,1],[75239,2],[75277,1],[75289,2],[75307,2],[75323,1],[75329,3],[75337,5],[75347,1],[75353,1],[75367,1],[75377,1],[75401,1],[75403,1],[75437,2],[75503,1],[75521,1],[75527,1],[75539,3],[75541,2],[75571,1],[75577,1],[75611,1],[75641,2],[75653,1],[75659,1],[75707,1],[75709,1],[75743,1],[75773,2],[75781,1],[75787,1],[75793,2],[75797,1],[75833,5],[75853,1],[75869,3],[75913,1],[75931,3],[75937,1],[75941,3],[75983,3],[75991,1],[75997,1],[76001,1],[76003,1],[76079,1],[76081,1],[76099,3],[76103,3],[76129,3],[76159,1],[76163,1],[76213,3],[76243,1],[76249,1],[76253,1],[76261,1],[76283,1],[76289,1],[76303,1],[76343,1],[76367,3],[76369,3],[76387,2],[76403,1],[76423,1],[76471,1],[76487,2],[76507,2],[76537,5],[76543,1],[76561,1],[76579,5],[76597,2],[76607,1],[76631,1],[76649,1],[76717,1],[76771,5],[76819,3],[76829,1],[76883,1],[76907,1],[76919,5],[76991,5],[77003,1],[77029,1],[77041,1],[77047,1],[77069,9],[77093,1],[77101,1],[77137,1],[77141,1],[77167,9],[77171,2],[77191,1],[77243,1],[77249,1],[77263,1],[77267,1],[77269,5],[77279,2],[77291,1],[77347,1],[77351,1],[77359,2],[77377,3],[77417,2],[77419,5],[77447,2],[77477,1],[77479,3],[77489,5],[77491,1],[77509,1],[77527,3],[77549,2],[77551,1],[77563,3],[77569,2],[77591,2],[77611,1],[77621,1],[77641,1],[77647,1],[77659,3],[77699,1],[77711,2],[77723,15],[77731,2],[77747,1],[77761,1],[77801,1],[77839,1],[77849,7],[77893,1],[77929,3],[78007,2],[78041,1],[78049,1],[78059,1],[78079,1],[78101,2],[78137,5],[78139,1],[78163,1],[78167,2],[78173,3],[78179,5],[78193,3],[78203,1],[78229,1],[78233,3],[78259,1],[78277,1],[78283,3],[78301,1],[78317,3],[78341,1],[78347,1],[78367,3],[78401,3],[78427,1],[78439,1],[78467,3],[78479,2],[78497,1],[78511,1],[78539,3],[78541,3],[78553,2],[78569,1],[78607,1],[78649,2],[78713,3],[78721,2],[78737,1],[78779,3],[78791,1],[78797,1],[78877,1],[78887,3],[78919,1],[78941,1],[78979,5],[78989,2],[79043,3],[79063,1],[79103,1],[79111,1],[79133,1],[79159,2],[79181,1],[79187,5],[79193,5],[79201,1],[79229,1],[79259,1],[79279,1],[79283,1],[79319,5],[79333,3],[79337,1],[79349,1],[79357,5],[79393,5],[79397,1],[79399,2],[79423,1],[79427,1],[79559,2],[79561,2],[79579,2],[79601,1],[79609,3],[79631,3],[79669,1],[79687,2],[79691,1],[79699,1],[79757,3],[79817,1],[79823,7],[79841,1],[79847,5],[79861,1],[79867,2],[79901,1],[79967,1],[79973,5],[79979,2],[79987,2],[80021,3],[80039,2],[80051,1],[80077,1],[80089,1],[80107,1],[80111,2],[80149,1],[80173,3],[80207,5],[80209,1],[80221,2],[80231,2],[80239,3],[80251,1],[80287,2],[80329,3],[80341,1],[80363,5],[80387,1],[80407,2],[80449,1],[80473,1],[80491,1],[80527,5],[80537,1],[80599,1],[80621,2],[80629,1],[80657,1],[80669,1],[80671,1],[80677,1],[80701,1],[80713,3],[80747,1],[80749,1],[80777,1],[80779,3],[80833,2],[80897,1],[80911,1],[80917,5],[80929,3],[80963,1],[80989,1],[81013,1],[81023,3],[81031,3],[81041,2],[81043,1],[81047,7],[81049,1],[81071,7],[81077,5],[81163,1],[81173,2],[81223,1],[81233,1],[81283,1],[81299,3],[81307,1],[81331,2],[81343,3],[81373,1],[81401,1],[81421,2],[81439,1],[81457,2],[81509,1],[81517,1],[81533,1],[81547,1],[81553,1],[81559,1],[81563,2],[81611,2],[81619,5],[81637,1],[81647,1],[81671,3],[81689,2],[81703,1],[81707,7],[81727,1],[81737,1],[81761,3],[81799,1],[81839,2],[81847,1],[81853,1],[81869,3],[81899,2],[81929,1],[81937,2],[81943,1],[81953,1],[81973,1],[82003,2],[82007,1],[82009,1],[82013,1],[82021,1],[82031,1],[82051,1],[82073,2],[82139,2],[82141,1],[82153,5],[82183,1],[82207,2],[82219,2],[82223,2],[82231,3],[82237,1],[82241,1],[82261,1],[82279,2],[82307,1],[82339,1],[82351,5],[82361,1],[82373,1],[82457,5],[82493,2],[82507,5],[82529,2],[82531,1],[82549,1],[82559,2],[82609,3],[82613,2],[82699,2],[82727,1],[82729,1],[82759,1],[82763,1],[82787,1],[82799,1],[82813,1],[82847,1],[82889,3],[82913,1],[82939,1],[82963,1],[82981,1],[82997,1],[83003,1],[83009,1],[83047,1],[83063,3],[83071,1],[83077,1],[83089,1],[83093,1],[83137,2],[83177,3],[83203,1],[83219,1],[83227,3],[83233,1],[83243,1],[83299,1],[83311,1],[83339,5],[83341,1],[83383,1],[83399,1],[83417,2],[83431,5],[83471,1],[83477,3],[83537,2],[83557,2],[83561,9],[83563,5],[83579,3],[83597,1],[83609,1],[83617,1],[83621,1],[83663,1],[83701,1],[83717,1],[83719,1],[83737,1],[83761,1],[83773,1],[83777,1],[83791,1],[83813,1],[83869,1],[83873,1],[83891,1],[83903,1],[83911,2],[83921,1],[83983,1],[83987,2],[84011,1],[84017,3],[84053,1],[84059,1],[84061,2],[84067,1],[84089,3],[84127,1],[84131,1],[84137,1],[84143,1],[84181,1],[84191,3],[84211,2],[84221,1],[84223,1],[84229,1],[84247,2],[84263,1],[84299,1],[84317,1],[84319,2],[84349,2],[84389,1],[84421,3],[84431,1],[84437,2],[84443,1],[84457,3],[84463,1],[84467,1],[84509,1],[84523,1],[84533,2],[84559,1],[84589,1],[84649,1],[84659,3],[84673,3],[84691,3],[84697,2],[84713,1],[84731,2],[84761,1],[84787,1],[84809,1],[84859,1],[84913,1],[84919,2],[84947,3],[84961,1],[84967,3],[84991,2],[85027,1],[85081,2],[85091,3],[85103,1],[85121,3],[85133,1],[85147,2],[85159,5],[85199,2],[85213,1],[85223,3],[85229,1],[85243,1],[85297,1],[85303,1],[85331,5],[85333,3],[85363,1],[85381,1],[85411,1],[85429,1],[85447,5],[85453,3],[85469,1],[85487,1],[85523,1],[85531,1],[85571,1],[85577,3],[85597,1],[85601,2],[85607,1],[85619,3],[85621,1],[85639,1],[85643,1],[85661,1],[85669,1],[85717,1],[85733,1],[85817,1],[85831,3],[85843,3],[85849,3],[85853,1],[85889,1],[85903,3],[85909,3],[85931,5],[85991,5],[85999,1],[86069,1],[86077,1],[86083,1],[86111,5],[86113,7],[86117,5],[86143,5],[86161,1],[86171,1],[86197,5],[86209,1],[86239,1],[86243,5],[86249,1],[86263,1],[86269,1],[86287,5],[86291,3],[86293,1],[86297,1],[86311,1],[86351,1],[86353,2],[86357,1],[86369,3],[86371,1],[86381,2],[86399,2],[86423,1],[86453,2],[86467,1],[86477,1],[86491,3],[86509,2],[86533,2],[86573,1],[86579,1],[86599,3],[86629,1],[86689,1],[86693,1],[86711,1],[86719,1],[86743,1],[86753,1],[86767,5],[86783,1],[86813,1],[86837,1],[86851,1],[86857,3],[86861,1],[86869,3],[86929,1],[86959,2],[86969,1],[86981,1],[87041,3],[87071,1],[87107,1],[87119,5],[87121,1],[87133,1],[87149,2],[87181,1],[87187,1],[87211,2],[87221,2],[87251,1],[87253,3],[87257,1],[87277,1],[87293,1],[87299,3],[87313,1],[87317,1],[87337,3],[87403,5],[87421,1],[87473,3],[87481,5],[87509,3],[87511,2],[87517,5],[87539,1],[87553,2],[87557,1],[87587,1],[87589,2],[87613,3],[87623,1],[87631,2],[87671,1],[87683,1],[87691,1],[87697,1],[87701,2],[87719,3],[87739,1],[87743,3],[87751,5],[87797,1],[87811,1],[87833,1],[87869,3],[87911,3],[87917,3],[87959,1],[87973,1],[87977,1],[87991,1],[88037,2],[88069,1],[88079,3],[88093,3],[88129,1],[88177,2],[88223,1],[88289,1],[88301,3],[88321,1],[88327,5],[88339,2],[88379,2],[88397,1],[88469,1],[88493,1],[88499,1],[88513,2],[88523,1],[88547,1],[88589,1],[88591,1],[88609,1],[88643,2],[88651,5],[88657,1],[88661,2],[88681,5],[88721,1],[88729,1],[88771,1],[88793,1],[88799,2],[88807,1],[88817,3],[88819,9],[88853,1],[88861,3],[88919,1],[88951,1],[88993,1],[89009,1],[89057,1],[89069,1],[89101,1],[89107,1],[89123,2],[89153,1],[89189,1],[89203,1],[89209,1],[89227,1],[89231,5],[89237,2],[89317,2],[89329,1],[89363,1],[89399,2],[89413,1],[89431,2],[89443,1],[89459,1],[89491,7],[89501,3],[89519,2],[89561,2],[89597,1],[89599,1],[89603,3],[89627,1],[89633,1],[89653,1],[89657,1],[89669,7],[89689,1],[89753,1],[89767,2],[89783,5],[89809,1],[89867,3],[89897,1],[89899,2],[89909,1],[89939,1],[90011,2],[90023,1],[90053,1],[90073,1],[90121,2],[90149,15],[90163,1],[90173,1],[90187,1],[90191,2],[90197,1],[90199,2],[90203,1],[90263,1],[90271,1],[90281,1],[90289,2],[90313,2],[90359,1],[90371,1],[90407,1],[90439,2],[90469,2],[90473,5],[90481,1],[90523,1],[90527,1],[90583,1],[90617,1],[90619,2],[90631,3],[90641,1],[90659,1],[90703,1],[90709,2],[90731,2],[90749,2],[90787,1],[90793,1],[90821,9],[90823,1],[90833,2],[90841,3],[90847,3],[90901,1],[90907,2],[90911,5],[90917,1],[90947,1],[90971,1],[90977,1],[90989,2],[90997,3],[91009,1],[91019,2],[91033,1],[91079,7],[91081,7],[91097,5],[91127,3],[91129,5],[91153,2],[91159,3],[91163,1],[91183,2],[91243,3],[91249,2],[91331,2],[91369,1],[91381,1],[91423,1],[91433,1],[91459,1],[91493,1],[91513,2],[91541,1],[91573,2],[91691,2],[91703,2],[91711,2],[91733,2],[91757,1],[91771,2],[91781,1],[91807,2],[91867,2],[91873,1],[91909,1],[91951,1],[91957,2],[91969,2],[91997,1],[92003,1],[92009,5],[92041,1],[92051,3],[92077,1],[92153,1],[92173,1],[92189,2],[92221,1],[92227,1],[92251,2],[92297,1],[92353,3],[92363,1],[92369,3],[92377,1],[92381,1],[92383,1],[92387,1],[92413,2],[92419,1],[92461,3],[92467,3],[92479,1],[92489,1],[92551,1],[92557,1],[92567,5],[92569,15],[92581,1],[92593,3],[92641,1],[92647,5],[92657,1],[92681,1],[92683,1],[92693,3],[92707,1],[92717,1],[92737,5],[92753,1],[92761,3],[92779,1],[92789,1],[92809,1],[92831,1],[92849,1],[92861,1],[92863,1],[92867,1],[92893,2],[92921,1],[92927,2],[92957,1],[92987,1],[92993,3],[93053,2],[93089,3],[93103,1],[93131,1],[93133,1],[93151,5],[93169,1],[93179,1],[93229,1],[93251,2],[93253,1],[93257,2],[93263,2],[93287,1],[93323,3],[93337,1],[93377,2],[93383,2],[93407,5],[93463,1],[93479,3],[93481,1],[93487,1],[93491,1],[93493,1],[93497,1],[93503,1],[93523,2],[93529,2],[93553,3],[93557,3],[93559,1],[93563,1],[93581,1],[93601,1],[93607,15],[93629,3],[93701,1],[93739,3],[93763,3],[93787,1],[93809,2],[93827,3],[93871,3],[93889,1],[93901,2],[93911,3],[93913,1],[93923,2],[93937,1],[93941,1],[93967,2],[93979,1],[93983,1],[94033,2],[94057,5],[94063,1],[94079,1],[94109,1],[94111,1],[94121,2],[94151,1],[94153,3],[94169,1],[94219,3],[94229,1],[94253,2],[94261,3],[94291,1],[94307,5],[94321,1],[94327,2],[94331,1],[94343,1],[94349,2],[94379,3],[94397,1],[94399,1],[94421,2],[94439,3],[94441,2],[94463,3],[94483,3],[94513,1],[94531,1],[94547,2],[94559,5],[94573,1],[94583,2],[94597,1],[94603,1],[94613,1],[94649,1],[94651,3],[94693,2],[94709,1],[94777,1],[94781,1],[94789,1],[94823,2],[94847,2],[94903,2],[94907,2],[94933,9],[94949,9],[94951,1],[94961,3],[94993,2],[95009,1],[95021,1],[95063,1],[95071,3],[95083,2],[95089,1],[95131,1],[95143,1],[95153,1],[95177,2],[95213,1],[95239,3],[95257,1],[95261,1],[95287,1],[95317,1],[95339,2],[95369,1],[95393,1],[95413,3],[95419,1],[95429,3],[95441,1],[95471,1],[95479,3],[95507,1],[95539,2],[95549,1],[95569,2],[95621,1],[95633,1],[95651,1],[95713,3],[95717,7],[95731,2],[95737,2],[95747,2],[95789,3],[95791,1],[95813,2],[95819,2],[95869,1],[95873,2],[95881,1],[95891,1],[95911,2],[95917,1],[95947,1],[95959,1],[95971,3],[95987,3],[95989,2],[96017,1],[96137,1],[96149,1],[96179,1],[96181,3],[96221,1],[96223,2],[96259,1],[96263,2],[96269,1],[96289,1],[96329,2],[96337,1],[96443,2],[96451,1],[96457,3],[96461,1],[96469,3],[96479,5],[96487,1],[96493,1],[96497,2],[96581,9],[96587,1],[96589,2],[96601,1],[96643,5],[96661,1],[96667,3],[96671,1],[96697,1],[96739,5],[96749,5],[96757,2],[96779,2],[96787,1],[96797,1],[96847,1],[96893,2],[96907,1],[96911,1],[96953,2],[96973,1],[96979,1],[96989,2],[97001,1],[97007,2],[97039,1],[97073,1],[97081,1],[97103,1],[97127,2],[97171,2],[97177,3],[97187,1],[97213,1],[97231,3],[97241,3],[97259,2],[97283,3],[97303,1],[97327,1],[97373,5],[97381,3],[97397,1],[97423,3],[97429,2],[97441,2],[97459,1],[97511,2],[97523,1],[97553,1],[97561,3],[97579,1],[97613,1],[97651,1],[97729,1],[97777,2],[97787,1],[97789,5],[97813,1],[97847,3],[97871,1],[97927,1],[97943,1],[97969,1],[97973,1],[98011,1],[98017,5],[98047,3],[98057,3],[98081,1],[98101,5],[98129,1],[98179,1],[98207,1],[98213,3],[98221,1],[98257,2],[98321,1],[98323,1],[98327,2],[98347,2],[98369,1],[98411,1],[98459,1],[98519,1],[98533,1],[98543,2],[98563,2],[98641,2],[98689,1],[98711,1],[98717,2],[98729,1],[98731,3],[98737,2],[98807,1],[98837,1],[98867,1],[98869,1],[98887,1],[98899,1],[98911,1],[98927,1],[98929,2],[98939,3],[98947,3],[98953,2],[98981,3],[98993,1],[99017,1],[99023,1],[99053,1],[99079,2],[99083,1],[99103,2],[99119,5],[99131,9],[99149,2],[99173,3],[99223,2],[99251,1],[99277,2],[99317,1],[99347,1],[99367,3],[99371,1],[99397,3],[99439,3],[99497,1],[99523,5],[99527,1],[99529,3],[99551,1],[99559,2],[99563,1],[99577,1],[99581,1],[99611,1],[99661,1],[99679,1],[99689,2],[99709,1],[99713,1],[99721,5],[99733,3],[99787,2],[99817,2],[99823,1],[99839,1],[99871,3],[99877,3],[99881,1],[99901,1],[99907,1],[99923,1],[99929,3],[99961,1],[99989,1]],\"large_known_norm_bins\":[[100000,100050,3],[100050,100101,1],[100101,100152,4],[100152,100203,6],[100203,100254,1],[100254,100305,3],[100356,100407,7],[100407,100458,8],[100458,100509,4],[100509,100560,6],[100560,100611,9],[100611,100662,2],[100662,100713,4],[100713,100764,2],[100764,100815,3],[100815,100866,2],[100866,100917,1],[100917,100968,13],[100968,101019,9],[101019,101070,7],[101070,101121,6],[101121,101172,2],[101172,101223,12],[101223,101274,4],[101274,101325,4],[101325,101376,2],[101376,101427,4],[101427,101478,1],[101478,101529,3],[101529,101580,8],[101580,101631,9],[101631,101682,7],[101682,101733,6],[101733,101784,4],[101784,101835,7],[101835,101886,3],[101886,101937,1],[101937,101988,4],[101988,102039,5],[102039,102091,4],[102091,102143,4],[102143,102195,4],[102195,102247,4],[102247,102299,8],[102351,102403,3],[102403,102455,5],[102455,102507,9],[102507,102559,3],[102559,102611,3],[102611,102663,3],[102767,102819,2],[102819,102871,11],[102871,102923,2],[102923,102975,3],[102975,103027,3],[103027,103079,1],[103079,103131,7],[103131,103183,2],[103183,103235,2],[103235,103287,1],[103287,103339,5],[103339,103391,6],[103391,103443,5],[103443,103495,4],[103495,103547,1],[103547,103599,7],[103599,103651,1],[103651,103703,4],[103703,103755,6],[103755,103807,3],[103807,103859,7],[103859,103911,2],[103911,103963,3],[103963,104015,23],[104015,104068,8],[104068,104121,3],[104121,104174,2],[104174,104227,2],[104227,104280,1],[104280,104333,5],[104333,104386,6],[104386,104439,5],[104439,104492,5],[104492,104545,6],[104545,104598,3],[104651,104704,3],[104704,104757,6],[104757,104810,12],[104810,104863,2],[104863,104916,1],[104916,104969,2],[104969,105022,17],[105022,105075,4],[105128,105181,2],[105181,105234,4],[105234,105287,3],[105287,105340,1],[105340,105393,9],[105393,105446,4],[105499,105552,8],[105552,105605,1],[105605,105658,8],[105658,105711,4],[105817,105870,3],[105870,105923,8],[105923,105976,11],[105976,106029,6],[106029,106083,4],[106083,106137,3],[106137,106191,2],[106191,106245,10],[106245,106299,4],[106299,106353,7],[106353,106407,5],[106407,106461,11],[106461,106515,3],[106515,106569,3],[106569,106623,3],[106623,106677,6],[106677,106731,3],[106731,106785,1],[106785,106839,3],[106839,106893,7],[106893,106947,11],[106947,107001,6],[107001,107055,2],[107055,107109,4],[107109,107163,3],[107163,107217,8],[107217,107271,1],[107271,107325,2],[107433,107487,1],[107487,107541,3],[107541,107595,1],[107595,107649,6],[107649,107703,2],[107703,107757,3],[107757,107811,8],[107811,107865,4],[107865,107919,5],[107919,107973,1],[107973,108027,7],[108027,108082,5],[108082,108137,2],[108137,108192,4],[108192,108247,1],[108247,108302,11],[108302,108357,3],[108357,108412,4],[108412,108467,5],[108467,108522,3],[108522,108577,8],[108577,108632,1],[108632,108687,1],[108687,108742,4],[108742,108797,2],[108797,108852,2],[108852,108907,2],[108907,108962,19],[108962,109017,4],[109017,109072,3],[109072,109127,8],[109127,109182,6],[109182,109237,12],[109237,109292,3],[109292,109347,4],[109347,109402,5],[109402,109457,4],[109457,109512,7],[109512,109567,7],[109567,109622,11],[109622,109677,3],[109677,109732,2],[109732,109787,2],[109787,109842,5],[109842,109897,5],[109897,109952,8],[109952,110007,1],[110007,110063,3],[110063,110119,2],[110119,110175,7],[110175,110231,2],[110231,110287,4],[110287,110343,1],[110343,110399,1],[110399,110455,6],[110455,110511,15],[110511,110567,8],[110567,110623,7],[110623,110679,2],[110679,110735,2],[110735,110791,2],[110847,110903,3],[110903,110959,6],[110959,111015,1],[111015,111071,4],[111071,111127,2],[111183,111239,8],[111239,111295,7],[111295,111351,3],[111407,111463,4],[111463,111519,6],[111519,111575,1],[111575,111631,11],[111631,111687,10],[111687,111743,5],[111743,111799,3],[111799,111855,7],[111855,111911,8],[111911,111967,4],[111967,112023,2],[112023,112080,2],[112080,112137,12],[112194,112251,8],[112251,112308,9],[112308,112365,2],[112422,112479,1],[112479,112536,2],[112536,112593,6],[112593,112650,6],[112650,112707,2],[112764,112821,4],[112821,112878,2],[112878,112935,5],[112935,112992,5],[112992,113049,5],[113049,113106,6],[113106,113163,9],[113163,113220,4],[113220,113277,1],[113277,113334,2],[113334,113391,4],[113448,113505,3],[113505,113562,5],[113562,113619,3],[113619,113676,5],[113676,113733,5],[113733,113790,5],[113790,113847,4],[113847,113904,3],[113904,113961,6],[113961,114018,5],[114018,114076,3],[114076,114134,3],[114134,114192,2],[114192,114250,8],[114250,114308,7],[114308,114366,3],[114366,114424,2],[114424,114482,9],[114598,114656,6],[114656,114714,7],[114714,114772,2],[114772,114830,5],[114830,114888,8],[114888,114946,5],[114946,115004,2],[115004,115062,1],[115062,115120,4],[115120,115178,1],[115178,115236,8],[115236,115294,2],[115294,115352,2],[115352,115410,1],[115410,115468,4],[115468,115526,6],[115526,115584,2],[115584,115642,6],[115642,115700,2],[115700,115758,6],[115758,115816,17],[115816,115874,14],[115874,115932,3],[115932,115990,7],[115990,116048,1],[116048,116107,1],[116107,116166,6],[116166,116225,3],[116225,116284,4],[116284,116343,3],[116343,116402,6],[116402,116461,6],[116461,116520,6],[116520,116579,8],[116579,116638,3],[116638,116697,1],[116697,116756,7],[116756,116815,5],[116815,116874,2],[116874,116933,2],[116933,116992,3],[116992,117051,1],[117051,117110,3],[117110,117169,4],[117169,117228,1],[117228,117287,2],[117287,117346,4],[117346,117405,4],[117405,117464,1],[117464,117523,8],[117523,117582,4],[117582,117641,1],[117641,117700,10],[117700,117759,4],[117759,117818,10],[117818,117877,2],[117877,117936,1],[117936,117995,3],[117995,118054,3],[118054,118114,4],[118114,118174,1],[118174,118234,4],[118234,118294,3],[118294,118354,1],[118354,118414,4],[118414,118474,7],[118474,118534,1],[118594,118654,2],[118654,118714,7],[118714,118774,5],[118774,118834,2],[118834,118894,6],[118894,118954,8],[118954,119014,3],[119014,119074,9],[119074,119134,8],[119134,119194,1],[119194,119254,6],[119254,119314,12],[119314,119374,5],[119374,119434,2],[119434,119494,3],[119494,119554,4],[119554,119614,3],[119614,119674,10],[119674,119734,17],[119734,119794,13],[119794,119854,14],[119854,119914,4],[119914,119974,7],[119974,120034,20],[120034,120095,3],[120095,120156,3],[120156,120217,8],[120217,120278,13],[120278,120339,2],[120339,120400,6],[120400,120461,5],[120461,120522,6],[120522,120583,4],[120583,120644,10],[120644,120705,2],[120705,120766,6],[120766,120827,13],[120827,120888,7],[120888,120949,19],[120949,121010,2],[121010,121071,5],[121071,121132,3],[121132,121193,13],[121193,121254,3],[121254,121315,5],[121315,121376,10],[121376,121437,3],[121437,121498,8],[121498,121559,7],[121559,121620,10],[121620,121681,4],[121681,121742,6],[121742,121803,3],[121803,121864,1],[121864,121925,11],[121925,121986,9],[121986,122047,9],[122047,122109,3],[122109,122171,4],[122171,122233,7],[122233,122295,7],[122295,122357,5],[122357,122419,6],[122419,122481,6],[122481,122543,15],[122543,122605,8],[122605,122667,7],[122729,122791,7],[122791,122853,2],[122853,122915,11],[122915,122977,9],[123039,123101,8],[123101,123163,3],[123163,123225,5],[123225,123287,2],[123287,123349,7],[123349,123411,3],[123411,123473,7],[123473,123535,3],[123535,123597,7],[123597,123659,8],[123659,123721,6],[123721,123783,5],[123783,123845,9],[123907,123969,2],[123969,124031,8],[124031,124094,1],[124094,124157,3],[124157,124220,3],[124220,124283,1],[124283,124346,3],[124346,124409,8],[124409,124472,5],[124472,124535,6],[124535,124598,4],[124598,124661,4],[124661,124724,5],[124724,124787,7],[124787,124850,4],[124850,124913,4],[124913,124976,1],[125039,125102,5],[125102,125165,1],[125165,125228,2],[125228,125291,17],[125291,125354,1],[125354,125417,2],[125417,125480,3],[125480,125543,1],[125543,125606,2],[125606,125669,4],[125669,125732,15],[125732,125795,7],[125795,125858,1],[125858,125921,10],[125921,125984,11],[125984,126047,10],[126047,126111,3],[126111,126175,5],[126175,126239,5],[126239,126303,2],[126303,126367,11],[126367,126431,1],[126431,126495,15],[126495,126559,3],[126559,126623,5],[126623,126687,1],[126687,126751,17],[126751,126815,6],[126815,126879,14],[126879,126943,3],[126943,127007,7],[127071,127135,5],[127135,127199,4],[127199,127263,4],[127263,127327,4],[127327,127391,2],[127391,127455,11],[127455,127519,3],[127519,127583,2],[127583,127647,6],[127647,127711,14],[127711,127775,5],[127775,127839,2],[127839,127903,3],[127903,127967,7],[127967,128031,4],[128031,128096,2],[128096,128161,3],[128161,128226,6],[128226,128291,2],[128291,128356,10],[128356,128421,9],[128421,128486,6],[128486,128551,11],[128551,128616,6],[128616,128681,8],[128681,128746,1],[128746,128811,3],[128811,128876,4],[128876,128941,2],[128941,129006,14],[129006,129071,5],[129071,129136,6],[129136,129201,3],[129266,129331,5],[129396,129461,1],[129461,129526,5],[129526,129591,2],[129591,129656,10],[129656,129721,18],[129721,129786,3],[129786,129851,2],[129851,129916,1],[129916,129981,8],[129981,130046,6],[130046,130112,5],[130112,130178,3],[130178,130244,4],[130244,130310,11],[130310,130376,5],[130376,130442,6],[130442,130508,5],[130508,130574,3],[130574,130640,10],[130640,130706,7],[130706,130772,1],[130772,130838,7],[130838,130904,3],[130904,130970,6],[130970,131036,1],[131036,131102,3],[131102,131168,7],[131168,131234,5],[131234,131300,5],[131300,131366,3],[131366,131432,5],[131432,131498,7],[131498,131564,10],[131564,131630,6],[131630,131696,3],[131696,131762,10],[131762,131828,4],[131828,131894,4],[131894,131960,8],[131960,132026,1],[132026,132093,1],[132093,132160,11],[132227,132294,11],[132294,132361,3],[132361,132428,13],[132428,132495,5],[132495,132562,10],[132562,132629,4],[132629,132696,8],[132696,132763,10],[132763,132830,1],[132830,132897,9],[132897,132964,12],[132964,133031,3],[133031,133098,6],[133098,133165,2],[133165,133232,5],[133232,133299,8],[133299,133366,6],[133366,133433,5],[133433,133500,11],[133500,133567,1],[133567,133634,5],[133634,133701,4],[133701,133768,11],[133768,133835,1],[133835,133902,1],[133902,133969,4],[133969,134036,1],[134036,134104,7],[134104,134172,11],[134172,134240,1],[134240,134308,7],[134308,134376,9],[134376,134444,11],[134444,134512,2],[134512,134580,2],[134580,134648,3],[134648,134716,5],[134716,134784,1],[134784,134852,4],[134852,134920,14],[134920,134988,3],[134988,135056,7],[135056,135124,5],[135124,135192,3],[135192,135260,10],[135260,135328,2],[135328,135396,4],[135396,135464,4],[135464,135532,15],[135532,135600,16],[135600,135668,11],[135668,135736,2],[135736,135804,3],[135804,135872,2],[135872,135940,3],[135940,136008,1],[136008,136077,15],[136077,136146,11],[136146,136215,2],[136215,136284,5],[136284,136353,13],[136353,136422,22],[136422,136491,8],[136491,136560,5],[136560,136629,4],[136629,136698,14],[136698,136767,9],[136767,136836,11],[136836,136905,13],[136905,136974,4],[136974,137043,8],[137043,137112,2],[137112,137181,4],[137181,137250,7],[137250,137319,4],[137319,137388,17],[137388,137457,10],[137457,137526,1],[137526,137595,5],[137595,137664,6],[137664,137733,6],[137733,137802,11],[137802,137871,2],[137871,137940,7],[137940,138009,4],[138009,138079,1],[138079,138149,11],[138149,138219,10],[138219,138289,2],[138289,138359,12],[138359,138429,4],[138429,138499,4],[138499,138569,2],[138569,138639,8],[138639,138709,3],[138709,138779,2],[138779,138849,7],[138849,138919,5],[138919,138989,3],[138989,139059,1],[139059,139129,5],[139129,139199,4],[139199,139269,8],[139269,139339,7],[139339,139409,4],[139409,139479,3],[139479,139549,9],[139549,139619,13],[139619,139689,5],[139689,139759,6],[139829,139899,9],[139899,139969,8],[139969,140039,3],[140110,140181,5],[140181,140252,19],[140252,140323,4],[140323,140394,7],[140394,140465,10],[140465,140536,6],[140536,140607,9],[140607,140678,18],[140678,140749,8],[140749,140820,12],[140820,140891,6],[140891,140962,4],[140962,141033,4],[141033,141104,6],[141104,141175,4],[141175,141246,8],[141246,141317,14],[141317,141388,3],[141388,141459,6],[141459,141530,10],[141530,141601,1],[141601,141672,10],[141672,141743,7],[141743,141814,10],[141814,141885,4],[141885,141956,5],[141956,142027,7],[142027,142099,14],[142099,142171,4],[142171,142243,11],[142243,142315,5],[142315,142387,2],[142387,142459,7],[142531,142603,6],[142603,142675,2],[142675,142747,1],[142747,142819,8],[142819,142891,2],[142891,142963,7],[142963,143035,5],[143035,143107,2],[143107,143179,5],[143179,143251,3],[143251,143323,4],[143323,143395,3],[143395,143467,3],[143467,143539,6],[143539,143611,4],[143611,143683,6],[143683,143755,6],[143755,143827,5],[143827,143899,10],[143899,143971,3],[143971,144043,7],[144043,144116,6],[144116,144189,4],[144189,144262,19],[144262,144335,6],[144335,144408,4],[144408,144481,5],[144481,144554,3],[144554,144627,12],[144627,144700,10],[144700,144773,8],[144773,144846,13],[144846,144919,5],[144919,144992,13],[144992,145065,4],[145065,145138,2],[145138,145211,6],[145211,145284,3],[145284,145357,4],[145357,145430,3],[145430,145503,15],[145503,145576,5],[145576,145649,3],[145649,145722,5],[145722,145795,5],[145795,145868,10],[145868,145941,7],[145941,146014,10],[146014,146088,4],[146088,146162,4],[146162,146236,9],[146236,146310,18],[146310,146384,10],[146384,146458,2],[146458,146532,11],[146606,146680,12],[146680,146754,10],[146754,146828,6],[146828,146902,5],[146902,146976,2],[146976,147050,3],[147050,147124,6],[147124,147198,8],[147198,147272,10],[147272,147346,8],[147346,147420,15],[147420,147494,5],[147494,147568,4],[147568,147642,5],[147642,147716,2],[147716,147790,5],[147790,147864,3],[147864,147938,3],[147938,148012,2],[148012,148087,12],[148087,148162,4],[148162,148237,4],[148237,148312,3],[148312,148387,7],[148387,148462,5],[148462,148537,8],[148537,148612,5],[148612,148687,4],[148687,148762,3],[148762,148837,7],[148837,148912,2],[148912,148987,12],[148987,149062,16],[149062,149137,10],[149137,149212,12],[149212,149287,3],[149287,149362,7],[149362,149437,9],[149437,149512,4],[149512,149587,6],[149587,149662,16],[149662,149737,4],[149737,149812,3],[149812,149887,3],[149887,149962,8],[149962,150037,6],[150037,150113,11],[150113,150189,4],[150189,150265,8],[150265,150341,5],[150341,150417,16],[150417,150493,1],[150493,150569,7],[150569,150645,8],[150645,150721,3],[150721,150797,4],[150797,150873,6],[150873,150949,8],[150949,151025,8],[151025,151101,5],[151101,151177,10],[151177,151253,14],[151253,151329,3],[151329,151405,5],[151405,151481,3],[151481,151557,13],[151557,151633,8],[151633,151709,9],[151709,151785,1],[151785,151861,2],[151861,151937,9],[151937,152013,2],[152013,152090,5],[152090,152167,5],[152167,152244,9],[152244,152321,3],[152321,152398,4],[152398,152475,8],[152475,152552,1],[152552,152629,12],[152629,152706,3],[152706,152783,10],[152783,152860,6],[152860,152937,4],[152937,153014,15],[153014,153091,5],[153091,153168,5],[153245,153322,7],[153322,153399,4],[153399,153476,7],[153476,153553,15],[153553,153630,8],[153630,153707,9],[153707,153784,12],[153784,153861,1],[153861,153938,2],[153938,154015,9],[154015,154093,9],[154171,154249,4],[154249,154327,6],[154327,154405,3],[154405,154483,4],[154483,154561,5],[154561,154639,9],[154639,154717,6],[154717,154795,4],[154795,154873,10],[154873,154951,12],[154951,155029,14],[155029,155107,19],[155107,155185,2],[155185,155263,14],[155263,155341,5],[155341,155419,8],[155419,155497,5],[155497,155575,3],[155575,155653,17],[155653,155731,15],[155731,155809,6],[155809,155887,5],[155887,155965,4],[155965,156043,3],[156043,156122,8],[156122,156201,4],[156201,156280,6],[156280,156359,7],[156359,156438,3],[156438,156517,1],[156517,156596,10],[156596,156675,9],[156675,156754,4],[156754,156833,6],[156833,156912,5],[156912,156991,4],[156991,157070,5],[157070,157149,14],[157149,157228,4],[157228,157307,14],[157307,157386,5],[157386,157465,4],[157465,157544,5],[157544,157623,3],[157623,157702,6],[157702,157781,3],[157781,157860,9],[157860,157939,8],[157939,158018,6],[158018,158098,9],[158098,158178,5],[158178,158258,9],[158258,158338,4],[158338,158418,17],[158418,158498,7],[158498,158578,6],[158578,158658,7],[158658,158738,1],[158738,158818,5],[158818,158898,1],[158898,158978,6],[158978,159058,10],[159058,159138,6],[159138,159218,7],[159218,159298,2],[159298,159378,3],[159378,159458,11],[159458,159538,4],[159538,159618,10],[159618,159698,4],[159698,159778,6],[159778,159858,7],[159858,159938,5],[159938,160018,8],[160018,160099,6],[160099,160180,7],[160180,160261,4],[160261,160342,1],[160342,160423,7],[160423,160504,3],[160504,160585,3],[160585,160666,15],[160666,160747,8],[160747,160828,13],[160828,160909,9],[160909,160990,9],[160990,161071,12],[161071,161152,11],[161152,161233,2],[161233,161314,4],[161314,161395,5],[161395,161476,4],[161476,161557,7],[161557,161638,3],[161638,161719,1],[161719,161800,6],[161800,161881,9],[161881,161962,3],[161962,162043,6],[162043,162125,8],[162207,162289,6],[162289,162371,2],[162371,162453,4],[162453,162535,11],[162535,162617,6],[162617,162699,6],[162699,162781,6],[162781,162863,6],[162863,162945,8],[162945,163027,8],[163027,163109,1],[163109,163191,8],[163191,163273,2],[163273,163355,8],[163355,163437,6],[163437,163519,3],[163519,163601,3],[163601,163683,12],[163683,163765,5],[163765,163847,8],[163847,163929,16],[163929,164011,4],[164011,164094,15],[164094,164177,2],[164177,164260,8],[164260,164343,3],[164343,164426,17],[164426,164509,7],[164509,164592,2],[164592,164675,6],[164675,164758,1],[164758,164841,9],[164841,164924,1],[164924,165007,4],[165007,165090,5],[165173,165256,13],[165256,165339,3],[165339,165422,6],[165422,165505,6],[165505,165588,15],[165588,165671,7],[165671,165754,11],[165754,165837,6],[165837,165920,5],[165920,166003,2],[166003,166087,13],[166087,166171,2],[166171,166255,11],[166255,166339,6],[166339,166423,12],[166507,166591,3],[166591,166675,5],[166675,166759,7],[166759,166843,3],[166843,166927,5],[166927,167011,6],[167011,167095,19],[167095,167179,13],[167179,167263,2],[167263,167347,16],[167347,167431,9],[167431,167515,10],[167515,167599,2],[167599,167683,6],[167683,167767,6],[167767,167851,7],[167851,167935,15],[167935,168019,3],[168019,168104,16],[168104,168189,1],[168189,168274,4],[168274,168359,7],[168359,168444,1],[168444,168529,12],[168529,168614,3],[168614,168699,9],[168699,168784,12],[168784,168869,5],[168869,168954,2],[168954,169039,5],[169039,169124,8],[169124,169209,4],[169209,169294,2],[169294,169379,9],[169379,169464,4],[169464,169549,6],[169549,169634,7],[169634,169719,10],[169719,169804,4],[169804,169889,1],[169889,169974,10],[169974,170059,5],[170059,170145,13],[170145,170231,12],[170231,170317,15],[170317,170403,6],[170403,170489,4],[170489,170575,3],[170575,170661,6],[170661,170747,3],[170747,170833,7],[170833,170919,9],[170919,171005,3],[171005,171091,4],[171091,171177,11],[171177,171263,6],[171263,171349,3],[171349,171435,1],[171435,171521,3],[171521,171607,4],[171607,171693,15],[171693,171779,6],[171779,171865,4],[171865,171951,7],[171951,172037,2],[172037,172124,4],[172124,172211,8],[172211,172298,3],[172298,172385,4],[172385,172472,16],[172472,172559,4],[172559,172646,5],[172646,172733,3],[172733,172820,3],[172820,172907,2],[172907,172994,2],[172994,173081,2],[173081,173168,8],[173168,173255,5],[173255,173342,3],[173342,173429,1],[173429,173516,6],[173516,173603,15],[173603,173690,3],[173690,173777,4],[173777,173864,8],[173864,173951,4],[173951,174038,2],[174038,174126,21],[174126,174214,3],[174214,174302,5],[174302,174390,6],[174390,174478,4],[174478,174566,4],[174566,174654,18],[174654,174742,10],[174742,174830,12],[174830,174918,8],[174918,175006,8],[175006,175094,3],[175094,175182,3],[175182,175270,7],[175270,175358,5],[175358,175446,5],[175446,175534,7],[175534,175622,3],[175622,175710,5],[175710,175798,9],[175798,175886,5],[175886,175974,18],[175974,176062,13],[176062,176151,6],[176151,176240,21],[176240,176329,3],[176329,176418,7],[176418,176507,8],[176507,176596,13],[176596,176685,6],[176685,176774,4],[176774,176863,12],[176863,176952,9],[176952,177041,8],[177041,177130,3],[177130,177219,4],[177219,177308,6],[177308,177397,4],[177397,177486,10],[177486,177575,5],[177575,177664,2],[177664,177753,4],[177753,177842,19],[177842,177931,8],[177931,178020,3],[178020,178110,4],[178110,178200,3],[178200,178290,8],[178290,178380,9],[178380,178470,7],[178470,178560,5],[178560,178650,11],[178650,178740,3],[178740,178830,12],[178830,178920,11],[178920,179010,4],[179010,179100,10],[179100,179190,10],[179190,179280,5],[179280,179370,6],[179370,179460,3],[179460,179550,5],[179550,179640,8],[179640,179730,12],[179730,179820,5],[179820,179910,6],[179910,180000,13],[180000,180090,4],[180090,180181,4],[180181,180272,4],[180272,180363,8],[180363,180454,12],[180454,180545,1],[180545,180636,3],[180636,180727,4],[180727,180818,5],[180818,180909,5],[180909,181000,1],[181000,181091,12],[181182,181273,5],[181273,181364,5],[181364,181455,3],[181455,181546,5],[181546,181637,2],[181637,181728,7],[181728,181819,8],[181819,181910,5],[181910,182001,6],[182001,182093,5],[182093,182185,20],[182185,182277,7],[182277,182369,7],[182369,182461,5],[182461,182553,3],[182553,182645,17],[182645,182737,16],[182737,182829,5],[182829,182921,9],[182921,183013,15],[183013,183105,7],[183105,183197,2],[183197,183289,3],[183289,183381,6],[183381,183473,2],[183473,183565,17],[183565,183657,7],[183657,183749,5],[183749,183841,2],[183841,183933,2],[183933,184025,13],[184025,184118,4],[184118,184211,10],[184211,184304,3],[184304,184397,13],[184397,184490,6],[184490,184583,7],[184583,184676,4],[184676,184769,4],[184769,184862,13],[184862,184955,5],[184955,185048,5],[185048,185141,8],[185141,185234,9],[185234,185327,6],[185327,185420,10],[185420,185513,3],[185513,185606,10],[185606,185699,2],[185699,185792,10],[185792,185885,3],[185885,185978,12],[185978,186071,16],[186071,186165,8],[186165,186259,14],[186259,186353,13],[186353,186447,6],[186447,186541,3],[186541,186635,9],[186635,186729,4],[186729,186823,2],[186823,186917,4],[186917,187011,3],[187011,187105,9],[187105,187199,18],[187199,187293,12],[187293,187387,7],[187387,187481,8],[187481,187575,6],[187575,187669,4],[187669,187763,9],[187763,187857,6],[187857,187951,7],[187951,188045,9],[188045,188140,1],[188140,188235,6],[188235,188330,9],[188330,188425,4],[188425,188520,18],[188520,188615,4],[188615,188710,2],[188710,188805,4],[188805,188900,4],[188900,188995,15],[188995,189090,6],[189090,189185,7],[189185,189280,9],[189280,189375,16],[189375,189470,13],[189470,189565,11],[189565,189660,7],[189660,189755,3],[189755,189850,5],[189850,189945,10],[189945,190040,18],[190040,190136,4],[190136,190232,7],[190232,190328,12],[190328,190424,7],[190424,190520,2],[190520,190616,23],[190616,190712,8],[190712,190808,2],[190808,190904,17],[190904,191000,2],[191000,191096,3],[191096,191192,20],[191192,191288,1],[191288,191384,8],[191384,191480,7],[191480,191576,18],[191576,191672,7],[191672,191768,9],[191768,191864,11],[191864,191960,5],[191960,192056,6],[192056,192153,8],[192153,192250,8],[192250,192347,10],[192347,192444,9],[192444,192541,10],[192541,192638,13],[192638,192735,6],[192735,192832,7],[192832,192929,13],[192929,193026,9],[193026,193123,6],[193123,193220,10],[193220,193317,7],[193317,193414,4],[193414,193511,10],[193511,193608,5],[193608,193705,13],[193705,193802,12],[193802,193899,5],[193899,193996,4],[193996,194093,9],[194093,194191,6],[194191,194289,5],[194289,194387,3],[194387,194485,9],[194485,194583,3],[194583,194681,6],[194681,194779,9],[194779,194877,19],[194877,194975,8],[194975,195073,10],[195073,195171,16],[195171,195269,8],[195269,195367,11],[195367,195465,9],[195465,195563,8],[195563,195661,3],[195661,195759,5],[195759,195857,1],[195857,195955,9],[195955,196053,8],[196053,196152,10],[196152,196251,8],[196251,196350,10],[196350,196449,4],[196449,196548,12],[196548,196647,11],[196647,196746,11],[196746,196845,7],[196845,196944,4],[196944,197043,3],[197043,197142,5],[197142,197241,6],[197241,197340,18],[197340,197439,15],[197439,197538,3],[197538,197637,14],[197637,197736,7],[197736,197835,14],[197835,197934,9],[197934,198033,9],[198033,198133,5],[198133,198233,9],[198233,198333,22],[198333,198433,6],[198433,198533,10],[198533,198633,5],[198633,198733,15],[198733,198833,10],[198833,198933,10],[198933,199033,5],[199033,199133,7],[199133,199233,6],[199233,199333,12],[199333,199433,10],[199433,199533,7],[199533,199633,4],[199633,199733,9],[199733,199833,5],[199833,199933,5],[199933,200033,9],[200033,200134,24],[200134,200235,8],[200235,200336,12],[200336,200437,4],[200437,200538,13],[200538,200639,2],[200639,200740,12],[200740,200841,6],[200841,200942,8],[200942,201043,6],[201043,201144,18],[201144,201245,15],[201245,201346,9],[201346,201447,14],[201447,201548,8],[201548,201649,5],[201649,201750,8],[201750,201851,15],[201851,201952,4],[201952,202053,9],[202053,202155,4],[202155,202257,3],[202257,202359,7],[202359,202461,8],[202461,202563,3],[202563,202665,13],[202665,202767,22],[202767,202869,3],[202869,202971,5],[202971,203073,6],[203073,203175,1],[203175,203277,1],[203277,203379,10],[203379,203481,7],[203481,203583,7],[203583,203685,10],[203685,203787,3],[203787,203889,8],[203889,203991,9],[203991,204093,13],[204093,204196,1],[204196,204299,2],[204299,204402,20],[204402,204505,9],[204505,204608,10],[204608,204711,13],[204711,204814,21],[204814,204917,7],[204917,205020,8],[205020,205123,8],[205123,205226,13],[205226,205329,4],[205329,205432,9],[205432,205535,14],[205535,205638,12],[205638,205741,26],[205741,205844,9],[205844,205947,2],[205947,206050,12],[206050,206154,5],[206154,206258,12],[206258,206362,10],[206362,206466,8],[206466,206570,12],[206570,206674,10],[206674,206778,3],[206778,206882,9],[206882,206986,10],[206986,207090,6],[207090,207194,6],[207194,207298,8],[207298,207402,11],[207402,207506,16],[207506,207610,18],[207610,207714,5],[207714,207818,7],[207818,207922,4],[207922,208026,6],[208026,208131,8],[208131,208236,12],[208236,208341,5],[208341,208446,7],[208446,208551,15],[208551,208656,14],[208656,208761,12],[208761,208866,8],[208866,208971,16],[208971,209076,9],[209076,209181,1],[209181,209286,13],[209286,209391,7],[209391,209496,13],[209496,209601,17],[209601,209706,5],[209706,209811,11],[209811,209916,4],[209916,210021,9],[210021,210127,5],[210127,210233,12],[210233,210339,13],[210339,210445,13],[210445,210551,3],[210551,210657,5],[210657,210763,7],[210763,210869,6],[210869,210975,13],[210975,211081,5],[211081,211187,5],[211187,211293,26],[211293,211399,13],[211399,211505,8],[211505,211611,12],[211611,211717,13],[211717,211823,7],[211823,211929,5],[211929,212035,9],[212035,212142,12],[212142,212249,10],[212249,212356,1],[212356,212463,15],[212463,212570,13],[212570,212677,18],[212677,212784,5],[212784,212891,13],[212891,212998,5],[212998,213105,11],[213105,213212,7],[213212,213319,6],[213319,213426,20],[213426,213533,12],[213533,213640,14],[213640,213747,18],[213747,213854,6],[213854,213961,14],[213961,214068,9],[214068,214176,5],[214176,214284,18],[214284,214392,3],[214392,214500,17],[214500,214608,20],[214608,214716,13],[214716,214824,14],[214824,214932,4],[214932,215040,2],[215040,215148,10],[215148,215256,5],[215256,215364,10],[215364,215472,11],[215472,215580,4],[215580,215688,6],[215688,215796,3],[215796,215904,13],[215904,216012,7],[216012,216121,6],[216121,216230,2],[216230,216339,6],[216339,216448,4],[216448,216557,8],[216557,216666,13],[216666,216775,4],[216775,216884,15],[216884,216993,5],[216993,217102,7],[217102,217211,13],[217211,217320,4],[217320,217429,22],[217429,217538,10],[217538,217647,7],[217647,217756,21],[217756,217865,12],[217865,217974,9],[217974,218083,5],[218083,218193,11],[218193,218303,3],[218303,218413,5],[218413,218523,12],[218523,218633,10],[218633,218743,16],[218743,218853,6],[218853,218963,4],[218963,219073,16],[219073,219183,11],[219183,219293,3],[219293,219403,12],[219403,219513,4],[219513,219623,9],[219623,219733,13],[219733,219843,12],[219843,219953,12],[219953,220063,10],[220063,220174,9],[220174,220285,1],[220285,220396,13],[220396,220507,11],[220507,220618,12],[220618,220729,10],[220729,220840,11],[220840,220951,14],[220951,221062,2],[221062,221173,12],[221173,221284,6],[221284,221395,7],[221395,221506,17],[221506,221617,7],[221617,221728,5],[221728,221839,8],[221839,221950,10],[221950,222061,23],[222061,222173,13],[222173,222285,7],[222285,222397,15],[222397,222509,2],[222509,222621,10],[222621,222733,10],[222733,222845,12],[222845,222957,5],[222957,223069,11],[223069,223181,5],[223181,223293,11],[223293,223405,8],[223405,223517,11],[223517,223629,3],[223629,223741,6],[223741,223853,19],[223853,223965,7],[223965,224077,19],[224077,224190,11],[224190,224303,6],[224303,224416,13],[224416,224529,9],[224529,224642,7],[224642,224755,5],[224755,224868,4],[224868,224981,6],[224981,225094,9],[225094,225207,15],[225207,225320,13],[225320,225433,14],[225433,225546,13],[225546,225659,9],[225659,225772,9],[225772,225885,8],[225885,225998,15],[225998,226111,3],[226111,226225,22],[226225,226339,4],[226339,226453,10],[226453,226567,13],[226567,226681,6],[226681,226795,11],[226795,226909,6],[226909,227023,12],[227023,227137,3],[227137,227251,9],[227251,227365,13],[227365,227479,16],[227479,227593,4],[227593,227707,13],[227707,227821,5],[227821,227935,7],[227935,228049,7],[228049,228164,3],[228164,228279,15],[228279,228394,5],[228394,228509,14],[228509,228624,9],[228624,228739,9],[228739,228854,18],[228854,228969,10],[228969,229084,13],[229084,229199,7],[229199,229314,9],[229314,229429,19],[229429,229544,6],[229544,229659,15],[229659,229774,23],[229774,229889,9],[229889,230004,6],[230004,230120,13],[230120,230236,6],[230236,230352,10],[230352,230468,9],[230468,230584,10],[230584,230700,5],[230700,230816,14],[230816,230932,8],[230932,231048,12],[231048,231164,3],[231164,231280,7],[231280,231396,6],[231396,231512,10],[231512,231628,12],[231628,231744,7],[231744,231860,17],[231860,231976,13],[231976,232092,5],[232092,232209,5],[232209,232326,4],[232326,232443,10],[232443,232560,15],[232560,232677,9],[232677,232794,13],[232794,232911,12],[232911,233028,5],[233028,233145,13],[233145,233262,8],[233262,233379,10],[233379,233496,7],[233496,233613,10],[233613,233730,8],[233730,233847,6],[233847,233964,17],[233964,234081,13],[234081,234199,11],[234199,234317,5],[234317,234435,9],[234435,234553,4],[234553,234671,3],[234671,234789,14],[234789,234907,10],[234907,235025,13],[235025,235143,6],[235143,235261,11],[235261,235379,11],[235379,235497,5],[235497,235615,2],[235615,235733,14],[235733,235851,11],[235851,235969,7],[235969,236087,13],[236087,236206,5],[236206,236325,9],[236325,236444,6],[236444,236563,11],[236563,236682,2],[236682,236801,7],[236801,236920,8],[236920,237039,4],[237039,237158,5],[237158,237277,7],[237277,237396,18],[237396,237515,10],[237515,237634,3],[237634,237753,16],[237753,237872,11],[237872,237991,12],[237991,238110,10],[238110,238230,11],[238230,238350,10],[238350,238470,12],[238470,238590,3],[238590,238710,22],[238710,238830,3],[238830,238950,15],[238950,239070,3],[239070,239190,7],[239190,239310,8],[239310,239430,5],[239430,239550,7],[239550,239670,8],[239670,239790,9],[239790,239910,12],[239910,240030,12],[240030,240151,10],[240151,240272,8],[240272,240393,12],[240393,240514,9],[240514,240635,3],[240635,240756,24],[240756,240877,5],[240877,240998,9],[240998,241119,6],[241119,241240,3],[241240,241361,18],[241361,241482,6],[241482,241603,11],[241603,241724,17],[241724,241845,9],[241845,241966,10],[241966,242087,7],[242087,242209,11],[242209,242331,13],[242331,242453,4],[242453,242575,9],[242575,242697,11],[242697,242819,12],[242819,242941,5],[242941,243063,5],[243063,243185,9],[243185,243307,12],[243307,243429,7],[243429,243551,15],[243551,243673,10],[243673,243795,20],[243795,243917,17],[243917,244039,11],[244039,244162,8],[244162,244285,9],[244285,244408,16],[244408,244531,15],[244531,244654,14],[244654,244777,10],[244777,244900,16],[244900,245023,6],[245023,245146,8],[245146,245269,10],[245269,245392,17],[245392,245515,11],[245515,245638,11],[245638,245761,9],[245761,245884,7],[245884,246007,11],[246007,246131,3],[246131,246255,8],[246255,246379,14],[246379,246503,12],[246503,246627,8],[246627,246751,14],[246751,246875,7],[246875,246999,6],[246999,247123,7],[247123,247247,5],[247247,247371,6],[247371,247495,12],[247495,247619,10],[247619,247743,10],[247743,247867,7],[247867,247991,13],[247991,248115,17],[248115,248240,14],[248240,248365,9],[248365,248490,5],[248490,248615,12],[248615,248740,5],[248740,248865,13],[248865,248990,6],[248990,249115,12],[249115,249240,17],[249240,249365,33],[249365,249490,16],[249490,249615,13],[249615,249740,6],[249740,249865,5],[249865,249990,9],[249990,250115,13],[250115,250241,4],[250241,250367,5],[250367,250493,9],[250493,250619,19],[250619,250745,7],[250745,250871,13],[250871,250997,8],[250997,251123,11],[251123,251249,8],[251249,251375,10],[251375,251501,17],[251501,251627,9],[251627,251753,6],[251753,251879,4],[251879,252005,12],[252005,252132,13],[252132,252259,9],[252259,252386,9],[252386,252513,10],[252513,252640,18],[252640,252767,8],[252767,252894,8],[252894,253021,21],[253021,253148,13],[253148,253275,3],[253275,253402,17],[253402,253529,7],[253529,253656,19],[253656,253783,8],[253783,253910,16],[253910,254037,12],[254037,254165,5],[254165,254293,19],[254293,254421,5],[254421,254549,5],[254549,254677,3],[254677,254805,14],[254805,254933,13],[254933,255061,9],[255061,255189,16],[255189,255317,10],[255317,255445,8],[255445,255573,7],[255573,255701,15],[255701,255829,3],[255829,255957,14],[255957,256085,14],[256085,256214,11],[256214,256343,8],[256343,256472,9],[256472,256601,11],[256601,256730,18],[256730,256859,3],[256859,256988,12],[256988,257117,10],[257117,257246,2],[257246,257375,10],[257375,257504,17],[257504,257633,2],[257633,257762,11],[257762,257891,7],[257891,258020,6],[258020,258150,10],[258150,258280,10],[258280,258410,25],[258410,258540,27],[258540,258670,17],[258670,258800,10],[258800,258930,7],[258930,259060,15],[259060,259190,4],[259190,259320,7],[259320,259450,4],[259450,259580,2],[259580,259710,15],[259710,259840,4],[259840,259970,13],[259970,260100,12],[260100,260231,3],[260231,260362,6],[260362,260493,10],[260493,260624,9],[260624,260755,11],[260755,260886,5],[260886,261017,16],[261017,261148,17],[261148,261279,3],[261279,261410,3],[261410,261541,13],[261541,261672,12],[261672,261803,6],[261803,261934,10],[261934,262065,11],[262065,262197,16],[262197,262329,11],[262329,262461,13],[262461,262593,16],[262593,262725,10],[262725,262857,9],[262857,262989,5],[262989,263121,11],[263121,263253,6],[263253,263385,9],[263385,263517,8],[263517,263649,4],[263649,263781,10],[263781,263913,7],[263913,264045,6],[264045,264178,11],[264178,264311,6],[264311,264444,7],[264444,264577,5],[264577,264710,10],[264710,264843,9],[264843,264976,12],[264976,265109,8],[265109,265242,12],[265242,265375,8],[265375,265508,13],[265508,265641,7],[265641,265774,6],[265774,265907,6],[265907,266040,7],[266040,266174,9],[266174,266308,17],[266308,266442,7],[266442,266576,14],[266576,266710,11],[266710,266844,5],[266844,266978,16],[266978,267112,4],[267112,267246,10],[267246,267380,4],[267380,267514,9],[267514,267648,19],[267648,267782,24],[267782,267916,11],[267916,268050,11],[268050,268185,5],[268185,268320,5],[268320,268455,5],[268455,268590,10],[268590,268725,5],[268725,268860,21],[268860,268995,9],[268995,269130,13],[269130,269265,10],[269265,269400,10],[269400,269535,18],[269535,269670,8],[269670,269805,10],[269805,269940,5],[269940,270075,10],[270075,270211,9],[270211,270347,17],[270347,270483,6],[270483,270619,10],[270619,270755,10],[270755,270891,6],[270891,271027,20],[271027,271163,17],[271163,271299,7],[271299,271435,7],[271435,271571,18],[271571,271707,8],[271707,271843,7],[271843,271979,7],[271979,272115,4],[272115,272252,11],[272252,272389,19],[272389,272526,11],[272526,272663,10],[272663,272800,23],[272800,272937,15],[272937,273074,13],[273074,273211,9],[273211,273348,13],[273348,273485,4],[273485,273622,1],[273622,273759,4],[273759,273896,15],[273896,274033,11],[274033,274171,11],[274171,274309,17],[274309,274447,7],[274447,274585,9],[274585,274723,2],[274723,274861,21],[274861,274999,5],[274999,275137,7],[275137,275275,9],[275275,275413,7],[275413,275551,10],[275551,275689,10],[275689,275827,15],[275827,275965,17],[275965,276103,22],[276103,276242,7],[276242,276381,11],[276381,276520,20],[276520,276659,13],[276659,276798,6],[276798,276937,20],[276937,277076,12],[277076,277215,9],[277215,277354,18],[277354,277493,4],[277493,277632,16],[277632,277771,9],[277771,277910,13],[277910,278049,6],[278049,278189,9],[278189,278329,8],[278329,278469,11],[278469,278609,8],[278609,278749,10],[278749,278889,10],[278889,279029,11],[279029,279169,16],[279169,279309,16],[279309,279449,12],[279449,279589,7],[279589,279729,11],[279729,279869,10],[279869,280009,9],[280009,280150,21],[280150,280291,16],[280291,280432,15],[280432,280573,14],[280573,280714,22],[280714,280855,16],[280855,280996,20],[280996,281137,10],[281137,281278,20],[281278,281419,12],[281419,281560,9],[281560,281701,10],[281701,281842,14],[281842,281983,9],[281983,282124,19],[282124,282266,6],[282266,282408,10],[282408,282550,10],[282550,282692,11],[282692,282834,11],[282834,282976,18],[282976,283118,11],[283118,283260,4],[283260,283402,7],[283402,283544,4],[283544,283686,9],[283686,283828,6],[283828,283970,10],[283970,284112,19],[284112,284255,14],[284255,284398,8],[284398,284541,19],[284541,284684,12],[284684,284827,13],[284827,284970,12],[284970,285113,10],[285113,285256,26],[285256,285399,6],[285399,285542,9],[285542,285685,15],[285685,285828,10],[285828,285971,3],[285971,286114,14],[286114,286258,4],[286258,286402,7],[286402,286546,15],[286546,286690,15],[286690,286834,12],[286834,286978,2],[286978,287122,8],[287122,287266,17],[287266,287410,11],[287410,287554,5],[287554,287698,10],[287698,287842,9],[287842,287986,7],[287986,288130,7],[288130,288275,13],[288275,288420,5],[288420,288565,26],[288565,288710,10],[288710,288855,7],[288855,289000,5],[289000,289145,13],[289145,289290,13],[289290,289435,8],[289435,289580,14],[289580,289725,7],[289725,289870,8],[289870,290015,15],[290015,290161,18],[290161,290307,4],[290307,290453,13],[290453,290599,14],[290599,290745,13],[290745,290891,13],[290891,291037,14],[291037,291183,11],[291183,291329,16],[291329,291475,13],[291475,291621,13],[291621,291767,16],[291767,291913,11],[291913,292059,7],[292059,292206,5],[292206,292353,9],[292353,292500,7],[292500,292647,7],[292647,292794,11],[292794,292941,5],[292941,293088,14],[293088,293235,22],[293235,293382,9],[293382,293529,9],[293529,293676,6],[293676,293823,6],[293823,293970,5],[293970,294117,13],[294117,294265,14],[294265,294413,16],[294413,294561,14],[294561,294709,5],[294709,294857,14],[294857,295005,24],[295005,295153,8],[295153,295301,10],[295301,295449,19],[295449,295597,15],[295597,295745,8],[295745,295893,13],[295893,296041,12],[296041,296190,12],[296190,296339,17],[296339,296488,5],[296488,296637,11],[296637,296786,22],[296786,296935,12],[296935,297084,10],[297084,297233,9],[297233,297382,11],[297382,297531,17],[297531,297680,10],[297680,297829,5],[297829,297978,7],[297978,298127,10],[298127,298277,10],[298277,298427,6],[298427,298577,3],[298577,298727,27],[298727,298877,14],[298877,299027,3],[299027,299177,7],[299177,299327,5],[299327,299477,14],[299477,299627,10],[299627,299777,9],[299777,299927,8],[299927,300077,18],[300077,300228,4],[300228,300379,20],[300379,300530,12],[300530,300681,18],[300681,300832,21],[300832,300983,21],[300983,301134,11],[301134,301285,12],[301285,301436,8],[301436,301587,19],[301587,301738,4],[301738,301889,9],[301889,302040,21],[302040,302192,10],[302192,302344,18],[302344,302496,10],[302496,302648,15],[302648,302800,10],[302800,302952,23],[302952,303104,16],[303104,303256,8],[303256,303408,18],[303408,303560,10],[303560,303712,12],[303712,303864,9],[303864,304016,15],[304016,304169,7],[304169,304322,11],[304322,304475,15],[304475,304628,19],[304628,304781,18],[304781,304934,22],[304934,305087,5],[305087,305240,10],[305240,305393,10],[305393,305546,14],[305546,305699,25],[305699,305852,13],[305852,306005,9],[306005,306159,6],[306159,306313,5],[306313,306467,12],[306467,306621,6],[306621,306775,7],[306775,306929,10],[306929,307083,12],[307083,307237,5],[307237,307391,6],[307391,307545,20],[307545,307699,10],[307699,307853,1],[307853,308007,4],[308007,308162,9],[308162,308317,6],[308317,308472,7],[308472,308627,16],[308627,308782,9],[308782,308937,14],[308937,309092,15],[309092,309247,15],[309247,309402,8],[309402,309557,9],[309557,309712,9],[309712,309867,17],[309867,310022,4],[310022,310178,13],[310178,310334,12],[310334,310490,18],[310490,310646,9],[310646,310802,17],[310802,310958,15],[310958,311114,20],[311114,311270,11],[311270,311426,16],[311426,311582,10],[311582,311738,11],[311738,311894,7],[311894,312050,7],[312050,312207,23],[312207,312364,14],[312364,312521,8],[312521,312678,20],[312678,312835,5],[312835,312992,11],[312992,313149,7],[313149,313306,11],[313306,313463,12],[313463,313620,10],[313620,313777,11],[313777,313934,18],[313934,314091,18],[314091,314249,10],[314249,314407,17],[314407,314565,7],[314565,314723,5],[314723,314881,5],[314881,315039,8],[315039,315197,15],[315197,315355,15],[315355,315513,10],[315513,315671,28],[315671,315829,13],[315829,315987,12],[315987,316145,13],[316145,316304,15],[316304,316463,13],[316463,316622,9],[316622,316781,16],[316781,316940,7],[316940,317099,22],[317099,317258,8],[317258,317417,18],[317417,317576,15],[317576,317735,19],[317735,317894,15],[317894,318053,14],[318053,318213,6],[318213,318373,20],[318373,318533,17],[318533,318693,8],[318693,318853,16],[318853,319013,5],[319013,319173,10],[319173,319333,19],[319333,319493,10],[319493,319653,13],[319653,319813,6],[319813,319973,11],[319973,320133,11],[320133,320294,17],[320294,320455,10],[320455,320616,16],[320616,320777,8],[320777,320938,10],[320938,321099,1],[321099,321260,9],[321260,321421,27],[321421,321582,11],[321582,321743,12],[321743,321904,9],[321904,322065,18],[322065,322227,9],[322227,322389,4],[322389,322551,15],[322551,322713,16],[322713,322875,13],[322875,323037,7],[323037,323199,14],[323199,323361,7],[323361,323523,18],[323523,323685,10],[323685,323847,12],[323847,324009,4],[324009,324172,7],[324172,324335,8],[324335,324498,8],[324498,324661,12],[324661,324824,15],[324824,324987,13],[324987,325150,7],[325150,325313,17],[325313,325476,9],[325476,325639,12],[325639,325802,9],[325802,325965,14],[325965,326128,11],[326128,326292,14],[326292,326456,13],[326456,326620,17],[326620,326784,8],[326784,326948,14],[326948,327112,12],[327112,327276,10],[327276,327440,13],[327440,327604,20],[327604,327768,12],[327768,327932,18],[327932,328096,13],[328096,328261,12],[328261,328426,23],[328426,328591,5],[328591,328756,19],[328756,328921,12],[328921,329086,15],[329086,329251,19],[329251,329416,6],[329416,329581,10],[329581,329746,18],[329746,329911,12],[329911,330076,12],[330076,330242,19],[330242,330408,12],[330408,330574,15],[330574,330740,21],[330740,330906,10],[330906,331072,23],[331072,331238,10],[331238,331404,20],[331404,331570,7],[331570,331736,15],[331736,331902,17],[331902,332068,16],[332068,332235,18],[332235,332402,11],[332402,332569,12],[332569,332736,6],[332736,332903,10],[332903,333070,16],[333070,333237,4],[333237,333404,24],[333404,333571,9],[333571,333738,20],[333738,333905,9],[333905,334072,10],[334072,334240,4],[334240,334408,5],[334408,334576,13],[334576,334744,10],[334744,334912,8],[334912,335080,15],[335080,335248,23],[335248,335416,16],[335416,335584,17],[335584,335752,9],[335752,335920,18],[335920,336088,9],[336088,336257,17],[336257,336426,9],[336426,336595,28],[336595,336764,6],[336764,336933,19],[336933,337102,13],[337102,337271,13],[337271,337440,19],[337440,337609,13],[337609,337778,10],[337778,337947,8],[337947,338116,7],[338116,338286,17],[338286,338456,14],[338456,338626,6],[338626,338796,9],[338796,338966,11],[338966,339136,14],[339136,339306,11],[339306,339476,8],[339476,339646,14],[339646,339816,8],[339816,339986,17],[339986,340156,18],[340156,340327,7],[340327,340498,21],[340498,340669,10],[340669,340840,6],[340840,341011,17],[341011,341182,12],[341182,341353,23],[341353,341524,3],[341524,341695,19],[341695,341866,9],[341866,342037,8],[342037,342209,18],[342209,342381,25],[342381,342553,10],[342553,342725,17],[342725,342897,10],[342897,343069,26],[343069,343241,14],[343241,343413,20],[343413,343585,13],[343585,343757,16],[343757,343929,16],[343929,344101,12],[344101,344274,11],[344274,344447,14],[344447,344620,6],[344620,344793,8],[344793,344966,22],[344966,345139,13],[345139,345312,12],[345312,345485,11],[345485,345658,16],[345658,345831,18],[345831,346004,9],[346004,346178,30],[346178,346352,14],[346352,346526,16],[346526,346700,15],[346700,346874,10],[346874,347048,6],[347048,347222,23],[347222,347396,7],[347396,347570,11],[347570,347744,6],[347744,347918,13],[347918,348092,21],[348092,348267,16],[348267,348442,10],[348442,348617,14],[348617,348792,11],[348792,348967,22],[348967,349142,15],[349142,349317,9],[349317,349492,20],[349492,349667,10],[349667,349842,19],[349842,350017,8],[350017,350193,10],[350193,350369,12],[350369,350545,10],[350545,350721,11],[350721,350897,15],[350897,351073,22],[351073,351249,19],[351249,351425,17],[351425,351601,18],[351601,351777,31],[351777,351953,11],[351953,352129,20],[352129,352306,11],[352306,352483,13],[352483,352660,6],[352660,352837,5],[352837,353014,35],[353014,353191,24],[353191,353368,10],[353368,353545,11],[353545,353722,16],[353722,353899,14],[353899,354076,19],[354076,354254,16],[354254,354432,11],[354432,354610,14],[354610,354788,9],[354788,354966,13],[354966,355144,16],[355144,355322,6],[355322,355500,10],[355500,355678,23],[355678,355856,19],[355856,356034,10],[356034,356213,9],[356213,356392,7],[356392,356571,12],[356571,356750,7],[356750,356929,6],[356929,357108,7],[357108,357287,12],[357287,357466,8],[357466,357645,10],[357645,357824,15],[357824,358003,10],[358003,358183,10],[358183,358363,8],[358363,358543,12],[358543,358723,23],[358723,358903,20],[358903,359083,19],[359083,359263,15],[359263,359443,18],[359443,359623,6],[359623,359803,8],[359803,359983,8],[359983,360163,5],[360163,360344,38],[360344,360525,8],[360525,360706,10],[360706,360887,13],[360887,361068,20],[361068,361249,10],[361249,361430,8],[361430,361611,33],[361611,361792,8],[361792,361973,27],[361973,362154,20],[362154,362336,18],[362336,362518,11],[362518,362700,10],[362700,362882,3],[362882,363064,12],[363064,363246,9],[363246,363428,19],[363428,363610,20],[363610,363792,14],[363792,363974,5],[363974,364156,18],[364156,364339,11],[364339,364522,10],[364522,364705,17],[364705,364888,11],[364888,365071,16],[365071,365254,9],[365254,365437,13],[365437,365620,26],[365620,365803,22],[365803,365986,8],[365986,366169,11],[366169,366353,18],[366353,366537,11],[366537,366721,13],[366721,366905,14],[366905,367089,8],[367089,367273,27],[367273,367457,12],[367457,367641,11],[367641,367825,13],[367825,368009,4],[368009,368194,21],[368194,368379,15],[368379,368564,17],[368564,368749,28],[368749,368934,11],[368934,369119,13],[369119,369304,16],[369304,369489,9],[369489,369674,7],[369674,369859,16],[369859,370044,20],[370044,370230,21],[370230,370416,6],[370416,370602,9],[370602,370788,23],[370788,370974,8],[370974,371160,18],[371160,371346,36],[371346,371532,13],[371532,371718,6],[371718,371904,22],[371904,372090,7],[372090,372277,19],[372277,372464,16],[372464,372651,11],[372651,372838,34],[372838,373025,11],[373025,373212,9],[373212,373399,23],[373399,373586,10],[373586,373773,16],[373773,373960,6],[373960,374147,12],[374147,374335,7],[374335,374523,10],[374523,374711,9],[374711,374899,24],[374899,375087,19],[375087,375275,20],[375275,375463,7],[375463,375651,20],[375651,375839,10],[375839,376027,11],[376027,376216,8],[376216,376405,11],[376405,376594,16],[376594,376783,17],[376783,376972,19],[376972,377161,9],[377161,377350,17],[377350,377539,19],[377539,377728,18],[377728,377917,10],[377917,378106,6],[378106,378296,20],[378296,378486,7],[378486,378676,8],[378676,378866,12],[378866,379056,17],[379056,379246,18],[379246,379436,19],[379436,379626,11],[379626,379816,10],[379816,380006,14],[380006,380197,9],[380197,380388,38],[380388,380579,8],[380579,380770,21],[380770,380961,19],[380961,381152,9],[381152,381343,5],[381343,381534,18],[381534,381725,10],[381725,381916,8],[381916,382107,24],[382107,382299,12],[382299,382491,10],[382491,382683,9],[382683,382875,21],[382875,383067,7],[383067,383259,17],[383259,383451,15],[383451,383643,17],[383643,383835,15],[383835,384027,16],[384027,384220,13],[384220,384413,26],[384413,384606,17],[384606,384799,18],[384799,384992,6],[384992,385185,20],[385185,385378,14],[385378,385571,14],[385571,385764,23],[385764,385957,12],[385957,386150,14],[386150,386344,17],[386344,386538,16],[386538,386732,13],[386732,386926,6],[386926,387120,7],[387120,387314,11],[387314,387508,9],[387508,387702,9],[387702,387896,11],[387896,388090,8],[388090,388285,11],[388285,388480,21],[388480,388675,9],[388675,388870,18],[388870,389065,21],[389065,389260,20],[389260,389455,16],[389455,389650,14],[389650,389845,15],[389845,390040,11],[390040,390236,12],[390236,390432,12],[390432,390628,12],[390628,390824,22],[390824,391020,16],[391020,391216,11],[391216,391412,32],[391412,391608,4],[391608,391804,12],[391804,392000,11],[392000,392196,10],[392196,392393,22],[392393,392590,16],[392590,392787,15],[392787,392984,39],[392984,393181,17],[393181,393378,20],[393378,393575,8],[393575,393772,11],[393772,393969,9],[393969,394166,11],[394166,394364,22],[394364,394562,8],[394562,394760,13],[394760,394958,11],[394958,395156,19],[395156,395354,16],[395354,395552,16],[395552,395750,19],[395750,395948,10],[395948,396146,12],[396146,396345,9],[396345,396544,19],[396544,396743,15],[396743,396942,16],[396942,397141,11],[397141,397340,14],[397340,397539,14],[397539,397738,19],[397738,397937,31],[397937,398136,27],[398136,398336,15],[398336,398536,17],[398536,398736,23],[398736,398936,21],[398936,399136,8],[399136,399336,30],[399336,399536,8],[399536,399736,19],[399736,399936,18],[399936,400136,18],[400136,400337,35],[400337,400538,4],[400538,400739,12],[400739,400940,12],[400940,401141,25],[401141,401342,16],[401342,401543,16],[401543,401744,19],[401744,401945,15],[401945,402146,18],[402146,402348,13],[402348,402550,15],[402550,402752,5],[402752,402954,16],[402954,403156,24],[403156,403358,15],[403358,403560,17],[403560,403762,8],[403762,403964,7],[403964,404166,20],[404166,404369,15],[404369,404572,22],[404572,404775,7],[404775,404978,9],[404978,405181,18],[405181,405384,22],[405384,405587,11],[405587,405790,14],[405790,405993,19],[405993,406196,22],[406196,406400,6],[406400,406604,26],[406604,406808,11],[406808,407012,8],[407012,407216,18],[407216,407420,23],[407420,407624,14],[407624,407828,24],[407828,408032,6],[408032,408237,10],[408237,408442,13],[408442,408647,15],[408647,408852,17],[408852,409057,13],[409057,409262,12],[409262,409467,25],[409467,409672,19],[409672,409877,16],[409877,410082,16],[410082,410288,11],[410288,410494,17],[410494,410700,30],[410700,410906,13],[410906,411112,19],[411112,411318,20],[411318,411524,8],[411524,411730,13],[411730,411936,13],[411936,412142,18],[412142,412349,22],[412349,412556,7],[412556,412763,17],[412763,412970,19],[412970,413177,13],[413177,413384,8],[413384,413591,25],[413591,413798,26],[413798,414005,7],[414005,414213,12],[414213,414421,16],[414421,414629,19],[414629,414837,13],[414837,415045,21],[415045,415253,20],[415253,415461,7],[415461,415669,18],[415669,415877,12],[415877,416085,11],[416085,416294,28],[416294,416503,17],[416503,416712,16],[416712,416921,6],[416921,417130,14],[417130,417339,14],[417339,417548,18],[417548,417757,21],[417757,417966,22],[417966,418175,13],[418175,418385,17],[418385,418595,10],[418595,418805,26],[418805,419015,12],[419015,419225,12],[419225,419435,16],[419435,419645,21],[419645,419855,17],[419855,420065,14],[420065,420276,11],[420276,420487,32],[420487,420698,12],[420698,420909,9],[420909,421120,18],[421120,421331,28],[421331,421542,21],[421542,421753,38],[421753,421964,2],[421964,422175,14],[422175,422387,19],[422387,422599,7],[422599,422811,19],[422811,423023,7],[423023,423235,26],[423235,423447,24],[423447,423659,24],[423659,423871,18],[423871,424083,11],[424083,424296,19],[424296,424509,8],[424509,424722,27],[424722,424935,25],[424935,425148,21],[425148,425361,8],[425361,425574,14],[425574,425787,14],[425787,426000,18],[426000,426213,21],[426213,426427,12],[426427,426641,14],[426641,426855,23],[426855,427069,19],[427069,427283,20],[427283,427497,25],[427497,427711,17],[427711,427925,17],[427925,428139,26],[428139,428354,20],[428354,428569,12],[428569,428784,14],[428784,428999,23],[428999,429214,18],[429214,429429,12],[429429,429644,19],[429644,429859,11],[429859,430074,22],[430074,430290,14],[430290,430506,13],[430506,430722,17],[430722,430938,20],[430938,431154,21],[431154,431370,6],[431370,431586,9],[431586,431802,18],[431802,432018,23],[432018,432235,23],[432235,432452,28],[432452,432669,17],[432669,432886,18],[432886,433103,15],[433103,433320,14],[433320,433537,29],[433537,433754,13],[433754,433971,16],[433971,434188,25],[434188,434406,28],[434406,434624,14],[434624,434842,7],[434842,435060,17],[435060,435278,11],[435278,435496,25],[435496,435714,22],[435714,435932,14],[435932,436150,12],[436150,436369,13],[436369,436588,17],[436588,436807,12],[436807,437026,12],[437026,437245,12],[437245,437464,14],[437464,437683,24],[437683,437902,16],[437902,438121,12],[438121,438341,21],[438341,438561,18],[438561,438781,13],[438781,439001,20],[439001,439221,14],[439221,439441,19],[439441,439661,19],[439661,439881,20],[439881,440101,10],[440101,440322,29],[440322,440543,20],[440543,440764,26],[440764,440985,10],[440985,441206,35],[441206,441427,18],[441427,441648,18],[441648,441869,7],[441869,442090,14],[442090,442312,21],[442312,442534,20],[442534,442756,26],[442756,442978,25],[442978,443200,22],[443200,443422,15],[443422,443644,24],[443644,443866,13],[443866,444088,31],[444088,444311,19],[444311,444534,13],[444534,444757,17],[444757,444980,39],[444980,445203,19],[445203,445426,10],[445426,445649,16],[445649,445872,11],[445872,446095,21],[446095,446319,21],[446319,446543,12],[446543,446767,18],[446767,446991,5],[446991,447215,20],[447215,447439,15],[447439,447663,14],[447663,447887,10],[447887,448111,11],[448111,448336,12],[448336,448561,7],[448561,448786,23],[448786,449011,18],[449011,449236,14],[449236,449461,32],[449461,449686,29],[449686,449911,14],[449911,450136,25],[450136,450362,27],[450362,450588,17],[450588,450814,18],[450814,451040,11],[451040,451266,22],[451266,451492,26],[451492,451718,13],[451718,451944,22],[451944,452170,16],[452170,452397,11],[452397,452624,20],[452624,452851,12],[452851,453078,7],[453078,453305,25],[453305,453532,13],[453532,453759,28],[453759,453986,6],[453986,454213,9],[454213,454441,18],[454441,454669,8],[454669,454897,16],[454897,455125,17],[455125,455353,18],[455353,455581,16],[455581,455809,14],[455809,456037,14],[456037,456266,5],[456266,456495,11],[456495,456724,10],[456724,456953,15],[456953,457182,11],[457182,457411,10],[457411,457640,14],[457640,457869,9],[457869,458098,15],[458098,458328,15],[458328,458558,22],[458558,458788,22],[458788,459018,18],[459018,459248,18],[459248,459478,17],[459478,459708,14],[459708,459938,9],[459938,460168,28],[460168,460399,19],[460399,460630,18],[460630,460861,11],[460861,461092,25],[461092,461323,12],[461323,461554,11],[461554,461785,18],[461785,462016,4],[462016,462248,15],[462248,462480,16],[462480,462712,27],[462712,462944,22],[462944,463176,12],[463176,463408,13],[463408,463640,13],[463640,463872,24],[463872,464104,21],[464104,464337,22],[464337,464570,19],[464570,464803,11],[464803,465036,19],[465036,465269,21],[465269,465502,13],[465502,465735,16],[465735,465968,30],[465968,466201,16],[466201,466435,22],[466435,466669,14],[466669,466903,4],[466903,467137,19],[467137,467371,17],[467371,467605,26],[467605,467839,27],[467839,468073,23],[468073,468308,15],[468308,468543,12],[468543,468778,18],[468778,469013,19],[469013,469248,15],[469248,469483,14],[469483,469718,23],[469718,469953,14],[469953,470188,19],[470188,470424,24],[470424,470660,14],[470660,470896,15],[470896,471132,18],[471132,471368,12],[471368,471604,16],[471604,471840,23],[471840,472076,20],[472076,472313,13],[472313,472550,22],[472550,472787,19],[472787,473024,14],[473024,473261,16],[473261,473498,31],[473498,473735,20],[473735,473972,22],[473972,474209,18],[474209,474447,24],[474447,474685,16],[474685,474923,22],[474923,475161,15],[475161,475399,20],[475399,475637,14],[475637,475875,18],[475875,476113,28],[476113,476352,19],[476352,476591,20],[476591,476830,13],[476830,477069,9],[477069,477308,10],[477308,477547,17],[477547,477786,49],[477786,478025,24],[478025,478265,13],[478265,478505,15],[478505,478745,8],[478745,478985,17],[478985,479225,20],[479225,479465,11],[479465,479705,17],[479705,479945,26],[479945,480185,23],[480185,480426,16],[480426,480667,13],[480667,480908,34],[480908,481149,19],[481149,481390,53],[481390,481631,17],[481631,481872,35],[481872,482113,17],[482113,482355,8],[482355,482597,26],[482597,482839,24],[482839,483081,7],[483081,483323,14],[483323,483565,17],[483565,483807,32],[483807,484049,15],[484049,484292,17],[484292,484535,12],[484535,484778,14],[484778,485021,10],[485021,485264,18],[485264,485507,12],[485507,485750,10],[485750,485993,10],[485993,486236,19],[486236,486480,15],[486480,486724,32],[486724,486968,16],[486968,487212,21],[487212,487456,22],[487456,487700,15],[487700,487944,23],[487944,488188,20],[488188,488433,41],[488433,488678,9],[488678,488923,22],[488923,489168,17],[489168,489413,12],[489413,489658,22],[489658,489903,36],[489903,490148,12],[490148,490394,30],[490394,490640,22],[490640,490886,24],[490886,491132,25],[491132,491378,28],[491378,491624,18],[491624,491870,19],[491870,492116,45],[492116,492363,5],[492363,492610,36],[492610,492857,33],[492857,493104,14],[493104,493351,29],[493351,493598,5],[493598,493845,20],[493845,494092,16],[494092,494340,29],[494340,494588,17],[494588,494836,17],[494836,495084,12],[495084,495332,19],[495332,495580,30],[495580,495828,23],[495828,496076,25],[496076,496325,12],[496325,496574,24],[496574,496823,10],[496823,497072,17],[497072,497321,15],[497321,497570,25],[497570,497819,17],[497819,498068,9],[498068,498318,18],[498318,498568,21],[498568,498818,18],[498818,499068,22],[499068,499318,18],[499318,499568,20],[499568,499818,19],[499818,500068,13],[500068,500319,17],[500319,500570,21],[500570,500821,11],[500821,501072,18],[501072,501323,41],[501323,501574,17],[501574,501825,33],[501825,502076,22],[502076,502328,11],[502328,502580,16],[502580,502832,14],[502832,503084,13],[503084,503336,22],[503336,503588,16],[503588,503840,15],[503840,504092,19],[504092,504345,21],[504345,504598,19],[504598,504851,13],[504851,505104,20],[505104,505357,15],[505357,505610,38],[505610,505863,17],[505863,506116,28],[506116,506370,23],[506370,506624,27],[506624,506878,12],[506878,507132,30],[507132,507386,19],[507386,507640,11],[507640,507894,27],[507894,508148,26],[508148,508403,32],[508403,508658,22],[508658,508913,15],[508913,509168,22],[509168,509423,21],[509423,509678,28],[509678,509933,19],[509933,510188,27],[510188,510444,19],[510444,510700,22],[510700,510956,7],[510956,511212,26],[511212,511468,25],[511468,511724,30],[511724,511980,12],[511980,512236,10],[512236,512493,17],[512493,512750,31],[512750,513007,26],[513007,513264,19],[513264,513521,17],[513521,513778,18],[513778,514035,20],[514035,514293,32],[514293,514551,17],[514551,514809,14],[514809,515067,19],[515067,515325,9],[515325,515583,13],[515583,515841,22],[515841,516099,22],[516099,516358,23],[516358,516617,32],[516617,516876,23],[516876,517135,19],[517135,517394,27],[517394,517653,21],[517653,517912,9],[517912,518171,14],[518171,518431,15],[518431,518691,14],[518691,518951,17],[518951,519211,14],[519211,519471,38],[519471,519731,21],[519731,519991,25],[519991,520251,15],[520251,520512,26],[520512,520773,26],[520773,521034,13],[521034,521295,19],[521295,521556,19],[521556,521817,16],[521817,522078,16],[522078,522340,14],[522340,522602,4],[522602,522864,15],[522864,523126,10],[523126,523388,9],[523388,523650,23],[523650,523912,17],[523912,524174,24],[524174,524437,33],[524437,524700,14],[524700,524963,21],[524963,525226,31],[525226,525489,17],[525489,525752,26],[525752,526015,21],[526015,526279,27],[526279,526543,24],[526543,526807,21],[526807,527071,31],[527071,527335,10],[527335,527599,27],[527599,527863,10],[527863,528127,13],[528127,528392,35],[528392,528657,8],[528657,528922,24],[528922,529187,26],[529187,529452,22],[529452,529717,18],[529717,529982,18],[529982,530247,16],[530247,530513,25],[530513,530779,24],[530779,531045,17],[531045,531311,22],[531311,531577,13],[531577,531843,33],[531843,532109,17],[532109,532376,20],[532376,532643,20],[532643,532910,9],[532910,533177,22],[533177,533444,38],[533444,533711,21],[533711,533978,33],[533978,534245,21],[534245,534513,22],[534513,534781,20],[534781,535049,21],[535049,535317,13],[535317,535585,17],[535585,535853,20],[535853,536121,24],[536121,536390,23],[536390,536659,21],[536659,536928,19],[536928,537197,26],[537197,537466,9],[537466,537735,16],[537735,538004,18],[538004,538274,28],[538274,538544,26],[538544,538814,15],[538814,539084,7],[539084,539354,25],[539354,539624,23],[539624,539894,18],[539894,540164,17],[540164,540435,23],[540435,540706,29],[540706,540977,33],[540977,541248,23],[541248,541519,34],[541519,541790,37],[541790,542061,25],[542061,542333,26],[542333,542605,24],[542605,542877,9],[542877,543149,25],[543149,543421,28],[543421,543693,14],[543693,543965,20],[543965,544237,33],[544237,544510,13],[544510,544783,20],[544783,545056,23],[545056,545329,19],[545329,545602,9],[545602,545875,16],[545875,546148,32],[546148,546422,18],[546422,546696,23],[546696,546970,13],[546970,547244,30],[547244,547518,25],[547518,547792,26],[547792,548066,19],[548066,548341,17],[548341,548616,33],[548616,548891,27],[548891,549166,21],[549166,549441,7],[549441,549716,22],[549716,549991,20],[549991,550266,20],[550266,550542,12],[550542,550818,17],[550818,551094,25],[551094,551370,19],[551370,551646,15],[551646,551922,19],[551922,552198,18],[552198,552475,14],[552475,552752,23],[552752,553029,13],[553029,553306,24],[553306,553583,32],[553583,553860,17],[553860,554137,22],[554137,554415,26],[554415,554693,17],[554693,554971,42],[554971,555249,17],[555249,555527,16],[555527,555805,17],[555805,556083,14],[556083,556362,34],[556362,556641,13],[556641,556920,27],[556920,557199,16],[557199,557478,16],[557478,557757,16],[557757,558036,16],[558036,558316,23],[558316,558596,15],[558596,558876,16],[558876,559156,19],[559156,559436,19],[559436,559716,38],[559716,559996,11],[559996,560276,27],[560276,560557,35],[560557,560838,15],[560838,561119,25],[561119,561400,23],[561400,561681,10],[561681,561962,25],[561962,562243,22],[562243,562525,18],[562525,562807,20],[562807,563089,19],[563089,563371,11],[563371,563653,16],[563653,563935,18],[563935,564217,16],[564217,564500,16],[564500,564783,13],[564783,565066,35],[565066,565349,24],[565349,565632,34],[565632,565915,24],[565915,566198,19],[566198,566482,18],[566482,566766,23],[566766,567050,7],[567050,567334,19],[567334,567618,15],[567618,567902,27],[567902,568186,31],[568186,568471,35],[568471,568756,13],[568756,569041,30],[569041,569326,20],[569326,569611,11],[569611,569896,29],[569896,570181,19],[570181,570467,17],[570467,570753,49],[570753,571039,16],[571039,571325,26],[571325,571611,24],[571611,571897,38],[571897,572183,25],[572183,572470,23],[572470,572757,26],[572757,573044,13],[573044,573331,12],[573331,573618,10],[573618,573905,23],[573905,574192,30],[574192,574480,23],[574480,574768,20],[574768,575056,21],[575056,575344,21],[575344,575632,17],[575632,575920,16],[575920,576208,20],[576208,576497,21],[576497,576786,40],[576786,577075,18],[577075,577364,20],[577364,577653,22],[577653,577942,18],[577942,578231,12],[578231,578521,33],[578521,578811,19],[578811,579101,23],[579101,579391,15],[579391,579681,34],[579681,579971,24],[579971,580261,16],[580261,580552,16],[580552,580843,20],[580843,581134,21],[581134,581425,20],[581425,581716,19],[581716,582007,15],[582007,582299,16],[582299,582591,16],[582591,582883,17],[582883,583175,13],[583175,583467,22],[583467,583759,26],[583759,584051,11],[584051,584344,12],[584344,584637,21],[584637,584930,21],[584930,585223,21],[585223,585516,13],[585516,585809,17],[585809,586102,23],[586102,586396,28],[586396,586690,21],[586690,586984,39],[586984,587278,33],[587278,587572,30],[587572,587866,31],[587866,588160,17],[588160,588455,22],[588455,588750,22],[588750,589045,18],[589045,589340,30],[589340,589635,25],[589635,589930,15],[589930,590225,15],[590225,590521,17],[590521,590817,20],[590817,591113,14],[591113,591409,24],[591409,591705,20],[591705,592001,18],[592001,592298,18],[592298,592595,38],[592595,592892,29],[592892,593189,26],[593189,593486,23],[593486,593783,18],[593783,594080,9],[594080,594378,34],[594378,594676,27],[594676,594974,24],[594974,595272,19],[595272,595570,29],[595570,595868,13],[595868,596166,23],[596166,596465,33],[596465,596764,16],[596764,597063,30],[597063,597362,6],[597362,597661,31],[597661,597960,23],[597960,598259,16],[598259,598559,14],[598559,598859,15],[598859,599159,41],[599159,599459,21],[599459,599759,22],[599759,600059,28],[600059,600360,24],[600360,600661,31],[600661,600962,19],[600962,601263,30],[601263,601564,9],[601564,601865,28],[601865,602166,15],[602166,602468,31],[602468,602770,24],[602770,603072,27],[603072,603374,15],[603374,603676,41],[603676,603978,28],[603978,604280,17],[604280,604583,25],[604583,604886,21],[604886,605189,28],[605189,605492,17],[605492,605795,36],[605795,606098,36],[606098,606402,18],[606402,606706,14],[606706,607010,37],[607010,607314,26],[607314,607618,21],[607618,607922,12],[607922,608226,19],[608226,608531,24],[608531,608836,19],[608836,609141,31],[609141,609446,35],[609446,609751,13],[609751,610056,27],[610056,610362,23],[610362,610668,13],[610668,610974,29],[610974,611280,17],[611280,611586,33],[611586,611892,13],[611892,612198,36],[612198,612505,23],[612505,612812,18],[612812,613119,29],[613119,613426,34],[613426,613733,27],[613733,614040,15],[614040,614348,21],[614348,614656,21],[614656,614964,28],[614964,615272,17],[615272,615580,38],[615580,615888,26],[615888,616196,23],[616196,616505,27],[616505,616814,35],[616814,617123,18],[617123,617432,29],[617432,617741,34],[617741,618050,25],[618050,618360,22],[618360,618670,27],[618670,618980,8],[618980,619290,22],[619290,619600,14],[619600,619910,29],[619910,620220,6],[620220,620531,32],[620531,620842,26],[620842,621153,24],[621153,621464,22],[621464,621775,11],[621775,622086,21],[622086,622398,17],[622398,622710,18],[622710,623022,16],[623022,623334,24],[623334,623646,22],[623646,623958,27],[623958,624270,43],[624270,624583,30],[624583,624896,21],[624896,625209,22],[625209,625522,16],[625522,625835,23],[625835,626148,14],[626148,626462,25],[626462,626776,39],[626776,627090,15],[627090,627404,29],[627404,627718,22],[627718,628032,15],[628032,628347,13],[628347,628662,12],[628662,628977,21],[628977,629292,23],[629292,629607,25],[629607,629922,20],[629922,630237,16],[630237,630553,19],[630553,630869,34],[630869,631185,11],[631185,631501,25],[631501,631817,38],[631817,632133,34],[632133,632450,26],[632450,632767,32],[632767,633084,26],[633084,633401,22],[633401,633718,16],[633718,634035,27],[634035,634353,25],[634353,634671,21],[634671,634989,28],[634989,635307,26],[635307,635625,36],[635625,635943,19],[635943,636261,10],[636261,636580,23],[636580,636899,17],[636899,637218,25],[637218,637537,42],[637537,637856,34],[637856,638175,16],[638175,638495,25],[638495,638815,23],[638815,639135,15],[639135,639455,11],[639455,639775,35],[639775,640095,17],[640095,640416,20],[640416,640737,27],[640737,641058,16],[641058,641379,24],[641379,641700,29],[641700,642021,26],[642021,642343,19],[642343,642665,19],[642665,642987,28],[642987,643309,45],[643309,643631,16],[643631,643953,18],[643953,644275,31],[644275,644598,26],[644598,644921,23],[644921,645244,19],[645244,645567,24],[645567,645890,27],[645890,646213,27],[646213,646537,28],[646537,646861,14],[646861,647185,21],[647185,647509,40],[647509,647833,38],[647833,648157,23],[648157,648482,30],[648482,648807,20],[648807,649132,19],[649132,649457,40],[649457,649782,20],[649782,650107,17],[650107,650433,12],[650433,650759,21],[650759,651085,42],[651085,651411,18],[651411,651737,38],[651737,652063,13],[652063,652390,19],[652390,652717,25],[652717,653044,28],[653044,653371,17],[653371,653698,27],[653698,654025,26],[654025,654353,21],[654353,654681,18],[654681,655009,33],[655009,655337,23],[655337,655665,25],[655665,655993,16],[655993,656321,17],[656321,656650,10],[656650,656979,29],[656979,657308,26],[657308,657637,21],[657637,657966,27],[657966,658295,24],[658295,658625,24],[658625,658955,30],[658955,659285,38],[659285,659615,21],[659615,659945,20],[659945,660275,33],[660275,660606,27],[660606,660937,29],[660937,661268,22],[661268,661599,14],[661599,661930,24],[661930,662261,32],[662261,662593,29],[662593,662925,19],[662925,663257,25],[663257,663589,24],[663589,663921,17],[663921,664253,36],[664253,664586,20],[664586,664919,18],[664919,665252,25],[665252,665585,20],[665585,665918,25],[665918,666251,15],[666251,666585,17],[666585,666919,38],[666919,667253,31],[667253,667587,31],[667587,667921,25],[667921,668255,17],[668255,668590,17],[668590,668925,24],[668925,669260,17],[669260,669595,18],[669595,669930,36],[669930,670265,34],[670265,670601,17],[670601,670937,27],[670937,671273,27],[671273,671609,19],[671609,671945,37],[671945,672281,28],[672281,672618,11],[672618,672955,40],[672955,673292,30],[673292,673629,15],[673629,673966,17],[673966,674303,23],[674303,674641,20],[674641,674979,30],[674979,675317,22],[675317,675655,35],[675655,675993,18],[675993,676331,35],[676331,676670,19],[676670,677009,19],[677009,677348,23],[677348,677687,29],[677687,678026,23],[678026,678366,21],[678366,678706,39],[678706,679046,25],[679046,679386,37],[679386,679726,23],[679726,680066,60],[680066,680407,29],[680407,680748,36],[680748,681089,35],[681089,681430,25],[681430,681771,25],[681771,682112,19],[682112,682454,33],[682454,682796,20],[682796,683138,30],[683138,683480,33],[683480,683822,24],[683822,684164,30],[684164,684507,36],[684507,684850,22],[684850,685193,29],[685193,685536,25],[685536,685879,38],[685879,686222,27],[686222,686566,20],[686566,686910,14],[686910,687254,21],[687254,687598,24],[687598,687942,25],[687942,688286,23],[688286,688631,11],[688631,688976,34],[688976,689321,16],[689321,689666,14],[689666,690011,32],[690011,690357,25],[690357,690703,18],[690703,691049,13],[691049,691395,37],[691395,691741,27],[691741,692087,40],[692087,692434,17],[692434,692781,20],[692781,693128,30],[693128,693475,16],[693475,693822,30],[693822,694169,27],[694169,694517,35],[694517,694865,11],[694865,695213,27],[695213,695561,16],[695561,695909,29],[695909,696257,22],[696257,696606,14],[696606,696955,28],[696955,697304,20],[697304,697653,17],[697653,698002,19],[698002,698352,18],[698352,698702,31],[698702,699052,20],[699052,699402,25],[699402,699752,11],[699752,700102,30],[700102,700453,30],[700453,700804,25],[700804,701155,22],[701155,701506,30],[701506,701857,23],[701857,702208,28],[702208,702560,28],[702560,702912,34],[702912,703264,8],[703264,703616,20],[703616,703968,27],[703968,704320,33],[704320,704673,36],[704673,705026,32],[705026,705379,19],[705379,705732,17],[705732,706085,17],[706085,706439,35],[706439,706793,23],[706793,707147,17],[707147,707501,23],[707501,707855,27],[707855,708209,30],[708209,708564,20],[708564,708919,19],[708919,709274,22],[709274,709629,21],[709629,709984,33],[709984,710339,26],[710339,710695,46],[710695,711051,44],[711051,711407,31],[711407,711763,22],[711763,712119,26],[712119,712476,29],[712476,712833,22],[712833,713190,30],[713190,713547,27],[713547,713904,22],[713904,714261,30],[714261,714619,25],[714619,714977,47],[714977,715335,28],[715335,715693,21],[715693,716051,31],[716051,716410,12],[716410,716769,42],[716769,717128,24],[717128,717487,27],[717487,717846,29],[717846,718205,22],[718205,718565,27],[718565,718925,23],[718925,719285,20],[719285,719645,23],[719645,720005,22],[720005,720366,43],[720366,720727,22],[720727,721088,38],[721088,721449,36],[721449,721810,35],[721810,722171,30],[722171,722533,33],[722533,722895,17],[722895,723257,36],[723257,723619,30],[723619,723981,29],[723981,724343,17],[724343,724706,26],[724706,725069,23],[725069,725432,23],[725432,725795,21],[725795,726158,24],[726158,726522,29],[726522,726886,34],[726886,727250,24],[727250,727614,30],[727614,727978,37],[727978,728342,25],[728342,728707,28],[728707,729072,39],[729072,729437,33],[729437,729802,34],[729802,730167,32],[730167,730533,34],[730533,730899,27],[730899,731265,22],[731265,731631,35],[731631,731997,35],[731997,732363,28],[732363,732730,14],[732730,733097,23],[733097,733464,34],[733464,733831,22],[733831,734198,47],[734198,734566,29],[734566,734934,26],[734934,735302,19],[735302,735670,29],[735670,736038,21],[736038,736407,27],[736407,736776,23],[736776,737145,32],[737145,737514,32],[737514,737883,27],[737883,738252,21],[738252,738622,25],[738622,738992,23],[738992,739362,38],[739362,739732,31],[739732,740102,25],[740102,740473,23],[740473,740844,31],[740844,741215,41],[741215,741586,24],[741586,741957,27],[741957,742328,25],[742328,742700,38],[742700,743072,23],[743072,743444,20],[743444,743816,15],[743816,744188,24],[744188,744561,27],[744561,744934,25],[744934,745307,13],[745307,745680,17],[745680,746053,19],[746053,746427,34],[746427,746801,20],[746801,747175,25],[747175,747549,32],[747549,747923,25],[747923,748297,26],[748297,748672,36],[748672,749047,33],[749047,749422,43],[749422,749797,30],[749797,750172,26],[750172,750548,20],[750548,750924,24],[750924,751300,24],[751300,751676,25],[751676,752052,33],[752052,752429,17],[752429,752806,25],[752806,753183,23],[753183,753560,21],[753560,753937,30],[753937,754314,33],[754314,754692,35],[754692,755070,40],[755070,755448,26],[755448,755826,49],[755826,756204,50],[756204,756583,19],[756583,756962,18],[756962,757341,26],[757341,757720,17],[757720,758099,20],[758099,758479,22],[758479,758859,54],[758859,759239,47],[759239,759619,29],[759619,759999,35],[759999,760379,26],[760379,760760,26],[760760,761141,37],[761141,761522,30],[761522,761903,30],[761903,762284,22],[762284,762666,26],[762666,763048,20],[763048,763430,32],[763430,763812,40],[763812,764194,30],[764194,764577,24],[764577,764960,10],[764960,765343,56],[765343,765726,13],[765726,766109,26],[766109,766493,37],[766493,766877,22],[766877,767261,28],[767261,767645,36],[767645,768029,18],[768029,768414,31],[768414,768799,14],[768799,769184,28],[769184,769569,27],[769569,769954,39],[769954,770339,25],[770339,770725,30],[770725,771111,21],[771111,771497,33],[771497,771883,19],[771883,772269,24],[772269,772656,33],[772656,773043,19],[773043,773430,26],[773430,773817,30],[773817,774204,26],[774204,774592,14],[774592,774980,20],[774980,775368,23],[775368,775756,19],[775756,776144,46],[776144,776533,28],[776533,776922,22],[776922,777311,47],[777311,777700,27],[777700,778089,27],[778089,778479,19],[778479,778869,34],[778869,779259,34],[779259,779649,30],[779649,780039,44],[780039,780430,23],[780430,780821,18],[780821,781212,18],[781212,781603,27],[781603,781994,21],[781994,782385,28],[782385,782777,23],[782777,783169,30],[783169,783561,28],[783561,783953,24],[783953,784345,28],[784345,784738,31],[784738,785131,24],[785131,785524,46],[785524,785917,36],[785917,786310,32],[786310,786704,16],[786704,787098,25],[787098,787492,27],[787492,787886,33],[787886,788280,21],[788280,788675,42],[788675,789070,28],[789070,789465,29],[789465,789860,20],[789860,790255,24],[790255,790651,33],[790651,791047,35],[791047,791443,34],[791443,791839,18],[791839,792235,25],[792235,792632,26],[792632,793029,19],[793029,793426,15],[793426,793823,61],[793823,794220,38],[794220,794618,44],[794618,795016,31],[795016,795414,30],[795414,795812,33],[795812,796210,30],[796210,796609,22],[796609,797008,38],[797008,797407,20],[797407,797806,33],[797806,798205,48],[798205,798605,23],[798605,799005,24],[799005,799405,20],[799405,799805,35],[799805,800205,34],[800205,800606,40],[800606,801007,49],[801007,801408,25],[801408,801809,24],[801809,802210,33],[802210,802612,22],[802612,803014,21],[803014,803416,29],[803416,803818,33],[803818,804220,21],[804220,804623,42],[804623,805026,24],[805026,805429,39],[805429,805832,23],[805832,806235,32],[806235,806639,19],[806639,807043,30],[807043,807447,17],[807447,807851,18],[807851,808255,18],[808255,808660,27],[808660,809065,26],[809065,809470,38],[809470,809875,26],[809875,810280,20],[810280,810686,29],[810686,811092,26],[811092,811498,24],[811498,811904,33],[811904,812310,40],[812310,812717,36],[812717,813124,23],[813124,813531,22],[813531,813938,21],[813938,814345,38],[814345,814753,36],[814753,815161,26],[815161,815569,33],[815569,815977,24],[815977,816385,38],[816385,816794,28],[816794,817203,29],[817203,817612,21],[817612,818021,39],[818021,818431,28],[818431,818841,19],[818841,819251,24],[819251,819661,30],[819661,820071,26],[820071,820482,41],[820482,820893,34],[820893,821304,33],[821304,821715,39],[821715,822126,42],[822126,822538,32],[822538,822950,32],[822950,823362,27],[823362,823774,31],[823774,824186,31],[824186,824599,34],[824599,825012,32],[825012,825425,44],[825425,825838,35],[825838,826251,31],[826251,826665,37],[826665,827079,21],[827079,827493,14],[827493,827907,43],[827907,828321,27],[828321,828736,40],[828736,829151,56],[829151,829566,42],[829566,829981,44],[829981,830396,27],[830396,830812,31],[830812,831228,37],[831228,831644,20],[831644,832060,27],[832060,832477,35],[832477,832894,40],[832894,833311,18],[833311,833728,45],[833728,834145,23],[834145,834563,25],[834563,834981,21],[834981,835399,35],[835399,835817,35],[835817,836235,37],[836235,836654,15],[836654,837073,32],[837073,837492,25],[837492,837911,33],[837911,838330,44],[838330,838750,33],[838750,839170,35],[839170,839590,21],[839590,840010,21],[840010,840431,20],[840431,840852,27],[840852,841273,37],[841273,841694,31],[841694,842115,19],[842115,842537,46],[842537,842959,30],[842959,843381,32],[843381,843803,30],[843803,844225,35],[844225,844648,38],[844648,845071,23],[845071,845494,27],[845494,845917,24],[845917,846340,43],[846340,846764,23],[846764,847188,26],[847188,847612,38],[847612,848036,35],[848036,848461,25],[848461,848886,29],[848886,849311,36],[849311,849736,23],[849736,850161,19],[850161,850587,51],[850587,851013,19],[851013,851439,35],[851439,851865,34],[851865,852291,21],[852291,852718,22],[852718,853145,23],[853145,853572,23],[853572,853999,33],[853999,854426,37],[854426,854854,26],[854854,855282,25],[855282,855710,22],[855710,856138,30],[856138,856567,23],[856567,856996,19],[856996,857425,15],[857425,857854,33],[857854,858283,24],[858283,858713,27],[858713,859143,36],[859143,859573,22],[859573,860003,73],[860003,860434,40],[860434,860865,29],[860865,861296,21],[861296,861727,21],[861727,862158,42],[862158,862590,39],[862590,863022,24],[863022,863454,24],[863454,863886,29],[863886,864318,53],[864318,864751,30],[864751,865184,31],[865184,865617,34],[865617,866050,34],[866050,866484,42],[866484,866918,39],[866918,867352,25],[867352,867786,41],[867786,868220,38],[868220,868655,25],[868655,869090,30],[869090,869525,21],[869525,869960,25],[869960,870395,36],[870395,870831,36],[870831,871267,32],[871267,871703,15],[871703,872139,31],[872139,872576,49],[872576,873013,27],[873013,873450,19],[873450,873887,40],[873887,874324,22],[874324,874762,47],[874762,875200,31],[875200,875638,44],[875638,876076,39],[876076,876515,39],[876515,876954,27],[876954,877393,32],[877393,877832,21],[877832,878271,42],[878271,878711,25],[878711,879151,35],[879151,879591,36],[879591,880031,39],[880031,880472,42],[880472,880913,48],[880913,881354,50],[881354,881795,30],[881795,882236,32],[882236,882678,23],[882678,883120,34],[883120,883562,57],[883562,884004,30],[884004,884447,35],[884447,884890,33],[884890,885333,57],[885333,885776,40],[885776,886219,48],[886219,886663,17],[886663,887107,25],[887107,887551,29],[887551,887995,27],[887995,888439,38],[888439,888884,45],[888884,889329,27],[889329,889774,32],[889774,890219,30],[890219,890665,27],[890665,891111,48],[891111,891557,34],[891557,892003,41],[892003,892450,22],[892450,892897,21],[892897,893344,41],[893344,893791,21],[893791,894238,34],[894238,894686,42],[894686,895134,32],[895134,895582,43],[895582,896030,52],[896030,896479,14],[896479,896928,37],[896928,897377,19],[897377,897826,53],[897826,898275,38],[898275,898725,42],[898725,899175,29],[899175,899625,42],[899625,900075,28],[900075,900526,22],[900526,900977,43],[900977,901428,35],[901428,901879,25],[901879,902330,24],[902330,902782,31],[902782,903234,39],[903234,903686,30],[903686,904138,44],[904138,904591,27],[904591,905044,38],[905044,905497,43],[905497,905950,19],[905950,906403,34],[906403,906857,33],[906857,907311,32],[907311,907765,38],[907765,908219,39],[908219,908674,37],[908674,909129,25],[909129,909584,44],[909584,910039,42],[910039,910495,26],[910495,910951,26],[910951,911407,30],[911407,911863,33],[911863,912319,42],[912319,912776,20],[912776,913233,26],[913233,913690,21],[913690,914147,13],[914147,914605,43],[914605,915063,35],[915063,915521,16],[915521,915979,38],[915979,916437,28],[916437,916896,37],[916896,917355,35],[917355,917814,42],[917814,918273,36],[918273,918733,27],[918733,919193,51],[919193,919653,30],[919653,920113,30],[920113,920574,41],[920574,921035,32],[921035,921496,47],[921496,921957,32],[921957,922418,34],[922418,922880,47],[922880,923342,32],[923342,923804,40],[923804,924266,44],[924266,924729,35],[924729,925192,42],[925192,925655,39],[925655,926118,42],[926118,926582,32],[926582,927046,32],[927046,927510,20],[927510,927974,34],[927974,928438,32],[928438,928903,39],[928903,929368,46],[929368,929833,56],[929833,930298,32],[930298,930764,30],[930764,931230,25],[931230,931696,20],[931696,932162,43],[932162,932629,33],[932629,933096,30],[933096,933563,26],[933563,934030,27],[934030,934498,34],[934498,934966,46],[934966,935434,36],[935434,935902,24],[935902,936370,31],[936370,936839,40],[936839,937308,30],[937308,937777,32],[937777,938246,31],[938246,938716,19],[938716,939186,20],[939186,939656,20],[939656,940126,25],[940126,940597,19],[940597,941068,32],[941068,941539,33],[941539,942010,46],[942010,942482,32],[942482,942954,25],[942954,943426,37],[943426,943898,39],[943898,944370,27],[944370,944843,27],[944843,945316,24],[945316,945789,49],[945789,946262,46],[946262,946736,29],[946736,947210,36],[947210,947684,34],[947684,948158,33],[948158,948633,33],[948633,949108,22],[949108,949583,29],[949583,950058,32],[950058,950534,36],[950534,951010,33],[951010,951486,25],[951486,951962,36],[951962,952438,48],[952438,952915,30],[952915,953392,31],[953392,953869,41],[953869,954346,35],[954346,954824,27],[954824,955302,44],[955302,955780,26],[955780,956258,44],[956258,956737,29],[956737,957216,30],[957216,957695,36],[957695,958174,35],[958174,958654,35],[958654,959134,33],[959134,959614,33],[959614,960094,36],[960094,960575,33],[960575,961056,36],[961056,961537,42],[961537,962018,46],[962018,962500,31],[962500,962982,14],[962982,963464,42],[963464,963946,42],[963946,964428,42],[964428,964911,30],[964911,965394,39],[965394,965877,30],[965877,966360,32],[966360,966844,54],[966844,967328,34],[967328,967812,28],[967812,968296,30],[968296,968781,37],[968781,969266,25],[969266,969751,40],[969751,970236,30],[970236,970722,29],[970722,971208,56],[971208,971694,39],[971694,972180,35],[972180,972667,40],[972667,973154,30],[973154,973641,34],[973641,974128,26],[974128,974616,37],[974616,975104,30],[975104,975592,32],[975592,976080,45],[976080,976569,38],[976569,977058,38],[977058,977547,31],[977547,978036,29],[978036,978526,41],[978526,979016,53],[979016,979506,37],[979506,979996,31],[979996,980486,25],[980486,980977,34],[980977,981468,38],[981468,981959,40],[981959,982450,40],[982450,982942,32],[982942,983434,38],[983434,983926,28],[983926,984418,43],[984418,984911,33],[984911,985404,36],[985404,985897,38],[985897,986390,49],[986390,986884,34],[986884,987378,31],[987378,987872,15],[987872,988366,36],[988366,988861,24],[988861,989356,31],[989356,989851,37],[989851,990346,29],[990346,990842,22],[990842,991338,36],[991338,991834,42],[991834,992330,45],[992330,992827,34],[992827,993324,28],[993324,993821,16],[993821,994318,40],[994318,994816,34],[994816,995314,45],[995314,995812,47],[995812,996310,34],[996310,996809,34],[996809,997308,52],[997308,997807,40],[997807,998306,29],[998306,998806,39],[998806,999306,46],[999306,999806,28],[999806,1000306,45],[1000306,1000807,37],[1000807,1001308,36],[1001308,1001809,35],[1001809,1002310,42],[1002310,1002812,44],[1002812,1003314,56],[1003314,1003816,33],[1003816,1004318,36],[1004318,1004821,44],[1004821,1005324,38],[1005324,1005827,36],[1005827,1006330,51],[1006330,1006834,38],[1006834,1007338,30],[1007338,1007842,40],[1007842,1008346,23],[1008346,1008851,44],[1008851,1009356,33],[1009356,1009861,29],[1009861,1010366,42],[1010366,1010872,41],[1010872,1011378,28],[1011378,1011884,30],[1011884,1012390,49],[1012390,1012897,53],[1012897,1013404,25],[1013404,1013911,32],[1013911,1014418,20],[1014418,1014926,23],[1014926,1015434,34],[1015434,1015942,36],[1015942,1016450,33],[1016450,1016959,38],[1016959,1017468,32],[1017468,1017977,37],[1017977,1018486,30],[1018486,1018996,33],[1018996,1019506,42],[1019506,1020016,44],[1020016,1020527,41],[1020527,1021038,45],[1021038,1021549,37],[1021549,1022060,49],[1022060,1022572,36],[1022572,1023084,44],[1023084,1023596,42],[1023596,1024108,25],[1024108,1024621,38],[1024621,1025134,43],[1025134,1025647,44],[1025647,1026160,39],[1026160,1026674,37],[1026674,1027188,57],[1027188,1027702,36],[1027702,1028216,40],[1028216,1028731,30],[1028731,1029246,40],[1029246,1029761,46],[1029761,1030276,44],[1030276,1030792,46],[1030792,1031308,37],[1031308,1031824,49],[1031824,1032340,23],[1032340,1032857,35],[1032857,1033374,43],[1033374,1033891,52],[1033891,1034408,35],[1034408,1034926,53],[1034926,1035444,32],[1035444,1035962,32],[1035962,1036480,35],[1036480,1036999,46],[1036999,1037518,37],[1037518,1038037,24],[1038037,1038557,36],[1038557,1039077,45],[1039077,1039597,27],[1039597,1040117,35],[1040117,1040638,27],[1040638,1041159,57],[1041159,1041680,36],[1041680,1042201,47],[1042201,1042723,25],[1042723,1043245,50],[1043245,1043767,31],[1043767,1044289,30],[1044289,1044812,56],[1044812,1045335,44],[1045335,1045858,27],[1045858,1046381,27],[1046381,1046905,30],[1046905,1047429,39],[1047429,1047953,46],[1047953,1048477,30],[1048477,1049002,27],[1049002,1049527,57],[1049527,1050052,37],[1050052,1050578,35],[1050578,1051104,31],[1051104,1051630,42],[1051630,1052156,40],[1052156,1052683,24],[1052683,1053210,42],[1053210,1053737,31],[1053737,1054264,43],[1054264,1054792,55],[1054792,1055320,24],[1055320,1055848,26],[1055848,1056376,39],[1056376,1056905,18],[1056905,1057434,31],[1057434,1057963,43],[1057963,1058492,35],[1058492,1059022,48],[1059022,1059552,36],[1059552,1060082,37],[1060082,1060613,32],[1060613,1061144,26],[1061144,1061675,44],[1061675,1062206,35],[1062206,1062738,32],[1062738,1063270,54],[1063270,1063802,30],[1063802,1064334,59],[1064334,1064867,24],[1064867,1065400,30],[1065400,1065933,41],[1065933,1066466,40],[1066466,1067000,35],[1067000,1067534,32],[1067534,1068068,36],[1068068,1068603,32],[1068603,1069138,44],[1069138,1069673,51],[1069673,1070208,56],[1070208,1070744,34],[1070744,1071280,31],[1071280,1071816,48],[1071816,1072352,36],[1072352,1072889,48],[1072889,1073426,35],[1073426,1073963,57],[1073963,1074500,30],[1074500,1075038,47],[1075038,1075576,50],[1075576,1076114,45],[1076114,1076653,44],[1076653,1077192,37],[1077192,1077731,31],[1077731,1078270,41],[1078270,1078810,31],[1078810,1079350,36],[1079350,1079890,41],[1079890,1080430,49],[1080430,1080971,46],[1080971,1081512,50],[1081512,1082053,40],[1082053,1082595,46],[1082595,1083137,35],[1083137,1083679,53],[1083679,1084221,76],[1084221,1084764,32],[1084764,1085307,32],[1085307,1085850,36],[1085850,1086393,44],[1086393,1086937,28],[1086937,1087481,38],[1087481,1088025,58],[1088025,1088570,41],[1088570,1089115,44],[1089115,1089660,27],[1089660,1090205,37],[1090205,1090751,30],[1090751,1091297,46],[1091297,1091843,32],[1091843,1092389,32],[1092389,1092936,38],[1092936,1093483,31],[1093483,1094030,54],[1094030,1094578,45],[1094578,1095126,35],[1095126,1095674,35],[1095674,1096222,46],[1096222,1096771,35],[1096771,1097320,42],[1097320,1097869,31],[1097869,1098418,29],[1098418,1098968,38],[1098968,1099518,45],[1099518,1100068,42],[1100068,1100619,46],[1100619,1101170,32],[1101170,1101721,39],[1101721,1102272,51],[1102272,1102824,42],[1102824,1103376,45],[1103376,1103928,24],[1103928,1104480,31],[1104480,1105033,39],[1105033,1105586,43],[1105586,1106139,34],[1106139,1106693,46],[1106693,1107247,36],[1107247,1107801,37],[1107801,1108355,39],[1108355,1108910,44],[1108910,1109465,46],[1109465,1110020,42],[1110020,1110576,37],[1110576,1111132,41],[1111132,1111688,40],[1111688,1112244,44],[1112244,1112801,56],[1112801,1113358,34],[1113358,1113915,35],[1113915,1114472,33],[1114472,1115030,38],[1115030,1115588,33],[1115588,1116146,21],[1116146,1116705,30],[1116705,1117264,48],[1117264,1117823,44],[1117823,1118382,35],[1118382,1118942,48],[1118942,1119502,35],[1119502,1120062,38],[1120062,1120623,65],[1120623,1121184,42],[1121184,1121745,37],[1121745,1122306,45],[1122306,1122868,31],[1122868,1123430,47],[1123430,1123992,51],[1123992,1124554,50],[1124554,1125117,37],[1125117,1125680,50],[1125680,1126243,40],[1126243,1126807,41],[1126807,1127371,40],[1127371,1127935,28],[1127935,1128499,33],[1128499,1129064,55],[1129064,1129629,40],[1129629,1130194,53],[1130194,1130760,54],[1130760,1131326,50],[1131326,1131892,33],[1131892,1132458,26],[1132458,1133025,51],[1133025,1133592,52],[1133592,1134159,38],[1134159,1134727,35],[1134727,1135295,43],[1135295,1135863,34],[1135863,1136431,32],[1136431,1137000,30],[1137000,1137569,39],[1137569,1138138,32],[1138138,1138708,35],[1138708,1139278,39],[1139278,1139848,41],[1139848,1140418,28],[1140418,1140989,36],[1140989,1141560,54],[1141560,1142131,28],[1142131,1142703,38],[1142703,1143275,49],[1143275,1143847,43],[1143847,1144419,41],[1144419,1144992,40],[1144992,1145565,48],[1145565,1146138,35],[1146138,1146712,25],[1146712,1147286,50],[1147286,1147860,46],[1147860,1148434,34],[1148434,1149009,49],[1149009,1149584,45],[1149584,1150159,64],[1150159,1150735,51],[1150735,1151311,29],[1151311,1151887,44],[1151887,1152463,62],[1152463,1153040,48],[1153040,1153617,39],[1153617,1154194,42],[1154194,1154772,61],[1154772,1155350,37],[1155350,1155928,38],[1155928,1156506,52],[1156506,1157085,48],[1157085,1157664,42],[1157664,1158243,33],[1158243,1158823,49],[1158823,1159403,44],[1159403,1159983,36],[1159983,1160563,45],[1160563,1161144,35],[1161144,1161725,41],[1161725,1162306,43],[1162306,1162888,58],[1162888,1163470,67],[1163470,1164052,48],[1164052,1164635,47],[1164635,1165218,37],[1165218,1165801,31],[1165801,1166384,38],[1166384,1166968,61],[1166968,1167552,32],[1167552,1168136,49],[1168136,1168721,46],[1168721,1169306,33],[1169306,1169891,38],[1169891,1170476,56],[1170476,1171062,46],[1171062,1171648,38],[1171648,1172234,61],[1172234,1172821,32],[1172821,1173408,34],[1173408,1173995,19],[1173995,1174582,27],[1174582,1175170,41],[1175170,1175758,52],[1175758,1176346,49],[1176346,1176935,50],[1176935,1177524,26],[1177524,1178113,55],[1178113,1178703,56],[1178703,1179293,38],[1179293,1179883,42],[1179883,1180473,44],[1180473,1181064,54],[1181064,1181655,42],[1181655,1182246,30],[1182246,1182838,52],[1182838,1183430,45],[1183430,1184022,50],[1184022,1184615,39],[1184615,1185208,39],[1185208,1185801,29],[1185801,1186394,38],[1186394,1186988,25],[1186988,1187582,45],[1187582,1188176,40],[1188176,1188771,42],[1188771,1189366,33],[1189366,1189961,49],[1189961,1190556,37],[1190556,1191152,59],[1191152,1191748,47],[1191748,1192344,38],[1192344,1192941,32],[1192941,1193538,41],[1193538,1194135,43],[1194135,1194733,42],[1194733,1195331,41],[1195331,1195929,39],[1195929,1196527,52],[1196527,1197126,51],[1197126,1197725,33],[1197725,1198324,41],[1198324,1198924,37],[1198924,1199524,45],[1199524,1200124,44],[1200124,1200725,34],[1200725,1201326,41],[1201326,1201927,34],[1201927,1202528,60],[1202528,1203130,25],[1203130,1203732,34],[1203732,1204334,38],[1204334,1204937,32],[1204937,1205540,43],[1205540,1206143,32],[1206143,1206747,56],[1206747,1207351,51],[1207351,1207955,29],[1207955,1208559,28],[1208559,1209164,70],[1209164,1209769,30],[1209769,1210374,63],[1210374,1210980,26],[1210980,1211586,45],[1211586,1212192,49],[1212192,1212799,49],[1212799,1213406,38],[1213406,1214013,43],[1214013,1214621,63],[1214621,1215229,55],[1215229,1215837,37],[1215837,1216445,26],[1216445,1217054,49],[1217054,1217663,46],[1217663,1218272,36],[1218272,1218882,47],[1218882,1219492,54],[1219492,1220102,57],[1220102,1220713,43],[1220713,1221324,46],[1221324,1221935,35],[1221935,1222546,41],[1222546,1223158,47],[1223158,1223770,39],[1223770,1224382,39],[1224382,1224995,39],[1224995,1225608,41],[1225608,1226221,56],[1226221,1226835,46],[1226835,1227449,55],[1227449,1228063,43],[1228063,1228678,34],[1228678,1229293,37],[1229293,1229908,58],[1229908,1230523,45],[1230523,1231139,31],[1231139,1231755,59],[1231755,1232371,32],[1232371,1232988,27],[1232988,1233605,49],[1233605,1234222,28],[1234222,1234840,37],[1234840,1235458,41],[1235458,1236076,49],[1236076,1236695,43],[1236695,1237314,40],[1237314,1237933,40],[1237933,1238552,37],[1238552,1239172,33],[1239172,1239792,39],[1239792,1240412,39],[1240412,1241033,41],[1241033,1241654,47],[1241654,1242275,44],[1242275,1242897,40],[1242897,1243519,42],[1243519,1244141,59],[1244141,1244764,42],[1244764,1245387,48],[1245387,1246010,33],[1246010,1246634,46],[1246634,1247258,66],[1247258,1247882,56],[1247882,1248506,37],[1248506,1249131,51],[1249131,1249756,48],[1249756,1250381,39],[1250381,1251007,46],[1251007,1251633,31],[1251633,1252259,41],[1252259,1252886,37],[1252886,1253513,42],[1253513,1254140,66],[1254140,1254768,53],[1254768,1255396,51],[1255396,1256024,27],[1256024,1256653,42],[1256653,1257282,64],[1257282,1257911,38],[1257911,1258540,63],[1258540,1259170,41],[1259170,1259800,42],[1259800,1260430,41],[1260430,1261061,29],[1261061,1261692,34],[1261692,1262323,65],[1262323,1262955,42],[1262955,1263587,48],[1263587,1264219,59],[1264219,1264852,42],[1264852,1265485,77],[1265485,1266118,54],[1266118,1266752,39],[1266752,1267386,38],[1267386,1268020,45],[1268020,1268655,33],[1268655,1269290,51],[1269290,1269925,39],[1269925,1270560,51],[1270560,1271196,36],[1271196,1271832,43],[1271832,1272468,47],[1272468,1273105,32],[1273105,1273742,41],[1273742,1274379,38],[1274379,1275017,34],[1275017,1275655,51],[1275655,1276293,46],[1276293,1276932,40],[1276932,1277571,45],[1277571,1278210,38],[1278210,1278850,52],[1278850,1279490,48],[1279490,1280130,74],[1280130,1280771,47],[1280771,1281412,35],[1281412,1282053,52],[1282053,1282695,58],[1282695,1283337,35],[1283337,1283979,41],[1283979,1284621,39],[1284621,1285264,74],[1285264,1285907,41],[1285907,1286550,30],[1286550,1287194,46],[1287194,1287838,44],[1287838,1288482,48],[1288482,1289127,47],[1289127,1289772,57],[1289772,1290417,39],[1290417,1291063,50],[1291063,1291709,31],[1291709,1292355,53],[1292355,1293002,52],[1293002,1293649,22],[1293649,1294296,42],[1294296,1294944,37],[1294944,1295592,39],[1295592,1296240,42],[1296240,1296889,56],[1296889,1297538,53],[1297538,1298187,42],[1298187,1298837,33],[1298837,1299487,37],[1299487,1300137,52],[1300137,1300788,40],[1300788,1301439,58],[1301439,1302090,56],[1302090,1302742,47],[1302742,1303394,47],[1303394,1304046,47],[1304046,1304699,38],[1304699,1305352,39],[1305352,1306005,54],[1306005,1306659,39],[1306659,1307313,58],[1307313,1307967,36],[1307967,1308621,49],[1308621,1309276,26],[1309276,1309931,33],[1309931,1310586,60],[1310586,1311242,54],[1311242,1311898,44],[1311898,1312554,42],[1312554,1313211,30],[1313211,1313868,55],[1313868,1314525,52],[1314525,1315183,44],[1315183,1315841,53],[1315841,1316499,45],[1316499,1317158,67],[1317158,1317817,46],[1317817,1318476,48],[1318476,1319136,78],[1319136,1319796,44],[1319796,1320456,26],[1320456,1321117,37],[1321117,1321778,63],[1321778,1322439,56],[1322439,1323101,38],[1323101,1323763,57],[1323763,1324425,38],[1324425,1325088,49],[1325088,1325751,45],[1325751,1326414,50],[1326414,1327078,43],[1327078,1327742,40],[1327742,1328406,52],[1328406,1329071,49],[1329071,1329736,78],[1329736,1330401,59],[1330401,1331067,44],[1331067,1331733,55],[1331733,1332399,43],[1332399,1333066,59],[1333066,1333733,46],[1333733,1334400,46],[1334400,1335068,39],[1335068,1335736,43],[1335736,1336404,49],[1336404,1337073,46],[1337073,1337742,37],[1337742,1338411,44],[1338411,1339081,54],[1339081,1339751,41],[1339751,1340421,39],[1340421,1341092,61],[1341092,1341763,45],[1341763,1342434,49],[1342434,1343106,42],[1343106,1343778,47],[1343778,1344450,40],[1344450,1345123,43],[1345123,1345796,60],[1345796,1346469,32],[1346469,1347143,34],[1347143,1347817,39],[1347817,1348491,42],[1348491,1349166,46],[1349166,1349841,32],[1349841,1350516,50],[1350516,1351192,49],[1351192,1351868,41],[1351868,1352544,33],[1352544,1353221,45],[1353221,1353898,66],[1353898,1354575,44],[1354575,1355253,57],[1355253,1355931,50],[1355931,1356609,39],[1356609,1357288,43],[1357288,1357967,42],[1357967,1358646,52],[1358646,1359326,58],[1359326,1360006,28],[1360006,1360687,45],[1360687,1361368,54],[1361368,1362049,60],[1362049,1362731,43],[1362731,1363413,78],[1363413,1364095,46],[1364095,1364778,55],[1364778,1365461,56],[1365461,1366144,33],[1366144,1366828,38],[1366828,1367512,56],[1367512,1368196,45],[1368196,1368881,65],[1368881,1369566,60],[1369566,1370251,45],[1370251,1370937,50],[1370937,1371623,34],[1371623,1372309,47],[1372309,1372996,50],[1372996,1373683,60],[1373683,1374370,42],[1374370,1375058,61],[1375058,1375746,48],[1375746,1376434,47],[1376434,1377123,60],[1377123,1377812,51],[1377812,1378501,48],[1378501,1379191,45],[1379191,1379881,35],[1379881,1380571,37],[1380571,1381262,31],[1381262,1381953,65],[1381953,1382644,43],[1382644,1383336,32],[1383336,1384028,59],[1384028,1384721,37],[1384721,1385414,60],[1385414,1386107,47],[1386107,1386801,62],[1386801,1387495,40],[1387495,1388189,42],[1388189,1388884,41],[1388884,1389579,35],[1389579,1390274,49],[1390274,1390970,52],[1390970,1391666,46],[1391666,1392362,52],[1392362,1393059,47],[1393059,1393756,32],[1393756,1394453,48],[1394453,1395151,49],[1395151,1395849,59],[1395849,1396547,48],[1396547,1397246,82],[1397246,1397945,58],[1397945,1398644,37],[1398644,1399344,44],[1399344,1400044,71],[1400044,1400745,36],[1400745,1401446,41],[1401446,1402147,71],[1402147,1402849,41],[1402849,1403551,37],[1403551,1404253,44],[1404253,1404956,46],[1404956,1405659,38],[1405659,1406362,46],[1406362,1407066,50],[1407066,1407770,54],[1407770,1408474,40],[1408474,1409179,69],[1409179,1409884,45],[1409884,1410589,27],[1410589,1411295,51],[1411295,1412001,35],[1412001,1412708,68],[1412708,1413415,50],[1413415,1414122,41],[1414122,1414830,37],[1414830,1415538,36],[1415538,1416246,66],[1416246,1416955,40],[1416955,1417664,47],[1417664,1418373,36],[1418373,1419083,37],[1419083,1419793,44],[1419793,1420503,36],[1420503,1421214,55],[1421214,1421925,59],[1421925,1422636,38],[1422636,1423348,40],[1423348,1424060,63],[1424060,1424773,42],[1424773,1425486,43],[1425486,1426199,70],[1426199,1426913,47],[1426913,1427627,44],[1427627,1428341,46],[1428341,1429056,51],[1429056,1429771,56],[1429771,1430486,32],[1430486,1431202,48],[1431202,1431918,55],[1431918,1432634,54],[1432634,1433351,51],[1433351,1434068,50],[1434068,1434786,64],[1434786,1435504,50],[1435504,1436222,56],[1436222,1436941,48],[1436941,1437660,50],[1437660,1438379,51],[1438379,1439099,55],[1439099,1439819,58],[1439819,1440539,58],[1440539,1441260,81],[1441260,1441981,61],[1441981,1442702,53],[1442702,1443424,58],[1443424,1444146,54],[1444146,1444869,60],[1444869,1445592,62],[1445592,1446315,53],[1446315,1447039,43],[1447039,1447763,52],[1447763,1448487,41],[1448487,1449212,49],[1449212,1449937,44],[1449937,1450662,59],[1450662,1451388,57],[1451388,1452114,35],[1452114,1452841,50],[1452841,1453568,52],[1453568,1454295,62],[1454295,1455023,57],[1455023,1455751,42],[1455751,1456479,69],[1456479,1457208,61],[1457208,1457937,40],[1457937,1458666,62],[1458666,1459396,37],[1459396,1460126,68],[1460126,1460857,52],[1460857,1461588,71],[1461588,1462319,57],[1462319,1463051,67],[1463051,1463783,62],[1463783,1464515,56],[1464515,1465248,54],[1465248,1465981,52],[1465981,1466714,68],[1466714,1467448,72],[1467448,1468182,31],[1468182,1468917,50],[1468917,1469652,49],[1469652,1470387,57],[1470387,1471123,53],[1471123,1471859,52],[1471859,1472595,32],[1472595,1473332,40],[1473332,1474069,50],[1474069,1474807,42],[1474807,1475545,38],[1475545,1476283,60],[1476283,1477022,52],[1477022,1477761,59],[1477761,1478500,68],[1478500,1479240,48],[1479240,1479980,59],[1479980,1480720,42],[1480720,1481461,28],[1481461,1482202,80],[1482202,1482944,52],[1482944,1483686,78],[1483686,1484428,45],[1484428,1485171,56],[1485171,1485914,39],[1485914,1486657,56],[1486657,1487401,38],[1487401,1488145,46],[1488145,1488890,52],[1488890,1489635,56],[1489635,1490380,60],[1490380,1491126,44],[1491126,1491872,38],[1491872,1492618,65],[1492618,1493365,57],[1493365,1494112,58],[1494112,1494860,57],[1494860,1495608,60],[1495608,1496356,55],[1496356,1497105,55],[1497105,1497854,39],[1497854,1498603,70],[1498603,1499353,50],[1499353,1500103,53],[1500103,1500854,62],[1500854,1501605,34],[1501605,1502356,51],[1502356,1503108,37],[1503108,1503860,74],[1503860,1504612,46],[1504612,1505365,38],[1505365,1506118,65],[1506118,1506872,47],[1506872,1507626,53],[1507626,1508380,44],[1508380,1509135,63],[1509135,1509890,56],[1509890,1510645,69],[1510645,1511401,36],[1511401,1512157,52],[1512157,1512914,46],[1512914,1513671,65],[1513671,1514428,45],[1514428,1515186,55],[1515186,1515944,64],[1515944,1516702,73],[1516702,1517461,45],[1517461,1518220,53],[1518220,1518980,62],[1518980,1519740,61],[1519740,1520500,36],[1520500,1521261,69],[1521261,1522022,51],[1522022,1522784,39],[1522784,1523546,54],[1523546,1524308,69],[1524308,1525071,53],[1525071,1525834,47],[1525834,1526597,44],[1526597,1527361,54],[1527361,1528125,63],[1528125,1528890,46],[1528890,1529655,48],[1529655,1530420,42],[1530420,1531186,39],[1531186,1531952,39],[1531952,1532718,38],[1532718,1533485,66],[1533485,1534252,68],[1534252,1535020,33],[1535020,1535788,65],[1535788,1536556,67],[1536556,1537325,41],[1537325,1538094,74],[1538094,1538864,48],[1538864,1539634,48],[1539634,1540404,69],[1540404,1541175,50],[1541175,1541946,60],[1541946,1542717,55],[1542717,1543489,53],[1543489,1544261,47],[1544261,1545034,33],[1545034,1545807,48],[1545807,1546580,68],[1546580,1547354,37],[1547354,1548128,59],[1548128,1548903,52],[1548903,1549678,98],[1549678,1550453,65],[1550453,1551229,61],[1551229,1552005,46],[1552005,1552782,47],[1552782,1553559,88],[1553559,1554336,43],[1554336,1555114,41],[1555114,1555892,85],[1555892,1556670,72],[1556670,1557449,38],[1557449,1558228,39],[1558228,1559008,80],[1559008,1559788,42],[1559788,1560568,55],[1560568,1561349,48],[1561349,1562130,50],[1562130,1562912,24],[1562912,1563694,66],[1563694,1564476,43],[1564476,1565259,51],[1565259,1566042,66],[1566042,1566826,46],[1566826,1567610,44],[1567610,1568394,33],[1568394,1569179,31],[1569179,1569964,41],[1569964,1570749,59],[1570749,1571535,43],[1571535,1572321,65],[1572321,1573108,39],[1573108,1573895,33],[1573895,1574682,61],[1574682,1575470,44],[1575470,1576258,49],[1576258,1577047,55],[1577047,1577836,55],[1577836,1578625,46],[1578625,1579415,67],[1579415,1580205,45],[1580205,1580996,46],[1580996,1581787,53],[1581787,1582578,44],[1582578,1583370,64],[1583370,1584162,47],[1584162,1584955,58],[1584955,1585748,63],[1585748,1586541,34],[1586541,1587335,40],[1587335,1588129,47],[1588129,1588924,57],[1588924,1589719,49],[1589719,1590514,38],[1590514,1591310,53],[1591310,1592106,34],[1592106,1592903,56],[1592903,1593700,59],[1593700,1594497,44],[1594497,1595295,49],[1595295,1596093,47],[1596093,1596892,45],[1596892,1597691,30],[1597691,1598490,75],[1598490,1599290,42],[1599290,1600090,43],[1600090,1600891,65],[1600891,1601692,76],[1601692,1602493,52],[1602493,1603295,65],[1603295,1604097,53],[1604097,1604900,52],[1604900,1605703,46],[1605703,1606506,65],[1606506,1607310,57],[1607310,1608114,53],[1608114,1608919,60],[1608919,1609724,52],[1609724,1610529,73],[1610529,1611335,88],[1611335,1612141,56],[1612141,1612948,58],[1612948,1613755,49],[1613755,1614562,44],[1614562,1615370,37],[1615370,1616178,65],[1616178,1616987,53],[1616987,1617796,52],[1617796,1618605,58],[1618605,1619415,62],[1619415,1620225,54],[1620225,1621036,59],[1621036,1621847,59],[1621847,1622658,53],[1622658,1623470,56],[1623470,1624282,50],[1624282,1625095,52],[1625095,1625908,58],[1625908,1626721,64],[1626721,1627535,83],[1627535,1628349,69],[1628349,1629164,52],[1629164,1629979,53],[1629979,1630794,41],[1630794,1631610,50],[1631610,1632426,51],[1632426,1633243,53],[1633243,1634060,83],[1634060,1634878,58],[1634878,1635696,53],[1635696,1636514,54],[1636514,1637333,74],[1637333,1638152,44],[1638152,1638972,44],[1638972,1639792,50],[1639792,1640612,62],[1640612,1641433,48],[1641433,1642254,63],[1642254,1643076,70],[1643076,1643898,54],[1643898,1644720,47],[1644720,1645543,70],[1645543,1646366,76],[1646366,1647190,54],[1647190,1648014,45],[1648014,1648839,46],[1648839,1649664,59],[1649664,1650489,41],[1650489,1651315,58],[1651315,1652141,65],[1652141,1652968,53],[1652968,1653795,70],[1653795,1654622,46],[1654622,1655450,64],[1655450,1656278,50],[1656278,1657107,70],[1657107,1657936,34],[1657936,1658765,44],[1658765,1659595,54],[1659595,1660425,53],[1660425,1661256,39],[1661256,1662087,43],[1662087,1662919,74],[1662919,1663751,58],[1663751,1664583,48],[1664583,1665416,54],[1665416,1666249,53],[1666249,1667083,74],[1667083,1667917,53],[1667917,1668751,54],[1668751,1669586,57],[1669586,1670421,60],[1670421,1671257,62],[1671257,1672093,56],[1672093,1672930,63],[1672930,1673767,58],[1673767,1674604,46],[1674604,1675442,77],[1675442,1676280,59],[1676280,1677119,59],[1677119,1677958,64],[1677958,1678797,70],[1678797,1679637,62],[1679637,1680477,59],[1680477,1681318,55],[1681318,1682159,91],[1682159,1683001,57],[1683001,1683843,55],[1683843,1684685,39],[1684685,1685528,62],[1685528,1686371,77],[1686371,1687215,58],[1687215,1688059,52],[1688059,1688904,62],[1688904,1689749,46],[1689749,1690594,54],[1690594,1691440,69],[1691440,1692286,64],[1692286,1693133,64],[1693133,1693980,52],[1693980,1694827,58],[1694827,1695675,56],[1695675,1696523,61],[1696523,1697372,53],[1697372,1698221,65],[1698221,1699071,63],[1699071,1699921,49],[1699921,1700771,63],[1700771,1701622,87],[1701622,1702473,59],[1702473,1703325,62],[1703325,1704177,31],[1704177,1705030,69],[1705030,1705883,67],[1705883,1706736,71],[1706736,1707590,47],[1707590,1708444,55],[1708444,1709299,54],[1709299,1710154,50],[1710154,1711010,66],[1711010,1711866,56],[1711866,1712722,41],[1712722,1713579,53],[1713579,1714436,44],[1714436,1715294,64],[1715294,1716152,65],[1716152,1717011,60],[1717011,1717870,42],[1717870,1718729,71],[1718729,1719589,64],[1719589,1720449,61],[1720449,1721310,51],[1721310,1722171,95],[1722171,1723033,59],[1723033,1723895,39],[1723895,1724757,60],[1724757,1725620,47],[1725620,1726483,59],[1726483,1727347,76],[1727347,1728211,59],[1728211,1729076,46],[1729076,1729941,48],[1729941,1730806,53],[1730806,1731672,76],[1731672,1732538,80],[1732538,1733405,64],[1733405,1734272,61],[1734272,1735140,51],[1735140,1736008,60],[1736008,1736877,60],[1736877,1737746,48],[1737746,1738615,56],[1738615,1739485,78],[1739485,1740355,54],[1740355,1741226,65],[1741226,1742097,65],[1742097,1742969,60],[1742969,1743841,79],[1743841,1744713,52],[1744713,1745586,46],[1745586,1746459,70],[1746459,1747333,58],[1747333,1748207,61],[1748207,1749082,51],[1749082,1749957,90],[1749957,1750832,54],[1750832,1751708,76],[1751708,1752584,42],[1752584,1753461,65],[1753461,1754338,62],[1754338,1755216,49],[1755216,1756094,46],[1756094,1756973,56],[1756973,1757852,43],[1757852,1758731,63],[1758731,1759611,59],[1759611,1760491,33],[1760491,1761372,50],[1761372,1762253,55],[1762253,1763135,55],[1763135,1764017,72],[1764017,1764900,80],[1764900,1765783,50],[1765783,1766666,50],[1766666,1767550,66],[1767550,1768434,89],[1768434,1769319,73],[1769319,1770204,52],[1770204,1771090,64],[1771090,1771976,53],[1771976,1772862,63],[1772862,1773749,63],[1773749,1774636,74],[1774636,1775524,47],[1775524,1776412,65],[1776412,1777301,48],[1777301,1778190,62],[1778190,1779080,65],[1779080,1779970,82],[1779970,1780860,58],[1780860,1781751,49],[1781751,1782642,62],[1782642,1783534,74],[1783534,1784426,62],[1784426,1785319,78],[1785319,1786212,50],[1786212,1787106,67],[1787106,1788000,47],[1788000,1788894,77],[1788894,1789789,40],[1789789,1790684,77],[1790684,1791580,58],[1791580,1792476,60],[1792476,1793373,82],[1793373,1794270,39],[1794270,1795168,60],[1795168,1796066,36],[1796066,1796965,61],[1796965,1797864,54],[1797864,1798763,61],[1798763,1799663,73],[1799663,1800563,93],[1800563,1801464,81],[1801464,1802365,73],[1802365,1803267,52],[1803267,1804169,49],[1804169,1805072,59],[1805072,1805975,66],[1805975,1806878,83],[1806878,1807782,73],[1807782,1808686,48],[1808686,1809591,76],[1809591,1810496,59],[1810496,1811402,49],[1811402,1812308,69],[1812308,1813215,75],[1813215,1814122,44],[1814122,1815030,59],[1815030,1815938,51],[1815938,1816846,57],[1816846,1817755,63],[1817755,1818664,56],[1818664,1819574,56],[1819574,1820484,64],[1820484,1821395,85],[1821395,1822306,51],[1822306,1823218,63],[1823218,1824130,62],[1824130,1825043,67],[1825043,1825956,63],[1825956,1826869,58],[1826869,1827783,60],[1827783,1828697,65],[1828697,1829612,51],[1829612,1830527,63],[1830527,1831443,75],[1831443,1832359,93],[1832359,1833276,61],[1833276,1834193,62],[1834193,1835111,53],[1835111,1836029,58],[1836029,1836948,55],[1836948,1837867,57],[1837867,1838786,55],[1838786,1839706,65],[1839706,1840626,79],[1840626,1841547,57],[1841547,1842468,69],[1842468,1843390,66],[1843390,1844312,71],[1844312,1845235,62],[1845235,1846158,92],[1846158,1847082,55],[1847082,1848006,81],[1848006,1848931,64],[1848931,1849856,73],[1849856,1850781,62],[1850781,1851707,53],[1851707,1852633,75],[1852633,1853560,65],[1853560,1854487,53],[1854487,1855415,71],[1855415,1856343,91],[1856343,1857272,42],[1857272,1858201,56],[1858201,1859131,58],[1859131,1860061,58],[1860061,1860992,73],[1860992,1861923,55],[1861923,1862854,48],[1862854,1863786,75],[1863786,1864718,44],[1864718,1865651,57],[1865651,1866584,59],[1866584,1867518,43],[1867518,1868452,49],[1868452,1869387,88],[1869387,1870322,52],[1870322,1871258,70],[1871258,1872194,57],[1872194,1873131,58],[1873131,1874068,79],[1874068,1875006,63],[1875006,1875944,48],[1875944,1876882,66],[1876882,1877821,47],[1877821,1878760,49],[1878760,1879700,63],[1879700,1880640,74],[1880640,1881581,81],[1881581,1882522,73],[1882522,1883464,61],[1883464,1884406,69],[1884406,1885349,73],[1885349,1886292,84],[1886292,1887236,60],[1887236,1888180,73],[1888180,1889125,73],[1889125,1890070,78],[1890070,1891016,80],[1891016,1891962,87],[1891962,1892908,77],[1892908,1893855,63],[1893855,1894802,68],[1894802,1895750,53],[1895750,1896698,103],[1896698,1897647,47],[1897647,1898596,59],[1898596,1899546,66],[1899546,1900496,60],[1900496,1901447,67],[1901447,1902398,77],[1902398,1903350,93],[1903350,1904302,62],[1904302,1905255,51],[1905255,1906208,60],[1906208,1907162,60],[1907162,1908116,81],[1908116,1909071,75],[1909071,1910026,57],[1910026,1910982,65],[1910982,1911938,56],[1911938,1912894,88],[1912894,1913851,67],[1913851,1914808,67],[1914808,1915766,87],[1915766,1916724,63],[1916724,1917683,79],[1917683,1918642,71],[1918642,1919602,65],[1919602,1920562,58],[1920562,1921523,49],[1921523,1922484,58],[1922484,1923446,99],[1923446,1924408,48],[1924408,1925371,49],[1925371,1926334,85],[1926334,1927298,69],[1927298,1928262,81],[1928262,1929227,73],[1929227,1930192,63],[1930192,1931158,38],[1931158,1932124,73],[1932124,1933091,49],[1933091,1934058,58],[1934058,1935026,89],[1935026,1935994,62],[1935994,1936962,68],[1936962,1937931,54],[1937931,1938900,63],[1938900,1939870,80],[1939870,1940840,62],[1940840,1941811,62],[1941811,1942782,74],[1942782,1943754,64],[1943754,1944726,62],[1944726,1945699,56],[1945699,1946672,52],[1946672,1947646,56],[1947646,1948620,49],[1948620,1949595,53],[1949595,1950570,57],[1950570,1951546,51],[1951546,1952522,69],[1952522,1953499,59],[1953499,1954476,74],[1954476,1955454,57],[1955454,1956432,78],[1956432,1957411,70],[1957411,1958390,63],[1958390,1959370,87],[1959370,1960350,59],[1960350,1961331,80],[1961331,1962312,77],[1962312,1963294,68],[1963294,1964276,59],[1964276,1965259,55],[1965259,1966242,56],[1966242,1967226,92],[1967226,1968210,75],[1968210,1969195,67],[1969195,1970180,58],[1970180,1971166,73],[1971166,1972152,82],[1972152,1973139,60],[1973139,1974126,82],[1974126,1975114,70],[1975114,1976102,91],[1976102,1977091,56],[1977091,1978080,81],[1978080,1979070,60],[1979070,1980060,83],[1980060,1981051,64],[1981051,1982042,94],[1982042,1983034,93],[1983034,1984026,62],[1984026,1985019,78],[1985019,1986012,84],[1986012,1987006,68],[1987006,1988000,69],[1988000,1988994,60],[1988994,1989989,63],[1989989,1990984,94],[1990984,1991980,65],[1991980,1992976,99],[1992976,1993973,77],[1993973,1994970,71],[1994970,1995968,42],[1995968,1996966,92],[1996966,1997965,58],[1997965,1998964,44],[1998964,1999964,42],[1999964,2000964,65],[2000964,2001965,56],[2001965,2002966,72],[2002966,2003968,64],[2003968,2004970,82],[2004970,2005973,106],[2005973,2006976,70],[2006976,2007980,76],[2007980,2008984,76],[2008984,2009989,56],[2009989,2010994,71],[2010994,2012000,64],[2012000,2013006,74],[2013006,2014013,89],[2014013,2015021,71],[2015021,2016029,80],[2016029,2017038,96],[2017038,2018047,63],[2018047,2019057,83],[2019057,2020067,77],[2020067,2021078,90],[2021078,2022089,68],[2022089,2023101,48],[2023101,2024113,73],[2024113,2025126,47],[2025126,2026139,79],[2026139,2027153,51],[2027153,2028167,83],[2028167,2029182,52],[2029182,2030197,95],[2030197,2031213,78],[2031213,2032229,66],[2032229,2033246,93],[2033246,2034263,65],[2034263,2035281,90],[2035281,2036299,69],[2036299,2037318,92],[2037318,2038337,59],[2038337,2039357,60],[2039357,2040377,73],[2040377,2041398,56],[2041398,2042419,96],[2042419,2043441,105],[2043441,2044463,77],[2044463,2045486,59],[2045486,2046509,70],[2046509,2047533,64],[2047533,2048557,84],[2048557,2049582,72],[2049582,2050607,95],[2050607,2051633,98],[2051633,2052659,61],[2052659,2053686,79],[2053686,2054713,60],[2054713,2055741,81],[2055741,2056769,70],[2056769,2057798,91],[2057798,2058827,88],[2058827,2059857,62],[2059857,2060887,60],[2060887,2061918,62],[2061918,2062949,72],[2062949,2063981,47],[2063981,2065013,87],[2065013,2066046,72],[2066046,2067080,83],[2067080,2068114,38],[2068114,2069149,81],[2069149,2070184,75],[2070184,2071220,64],[2071220,2072256,65],[2072256,2073293,50],[2073293,2074330,61],[2074330,2075368,70],[2075368,2076406,57],[2076406,2077445,61],[2077445,2078484,56],[2078484,2079524,58],[2079524,2080564,79],[2080564,2081605,67],[2081605,2082646,47],[2082646,2083688,84],[2083688,2084730,50],[2084730,2085773,67],[2085773,2086816,77],[2086816,2087860,77],[2087860,2088904,93],[2088904,2089949,71],[2089949,2090994,53],[2090994,2092040,75],[2092040,2093087,77],[2093087,2094134,84],[2094134,2095182,51],[2095182,2096230,91],[2096230,2097279,73],[2097279,2098328,67],[2098328,2099378,55],[2099378,2100428,68],[2100428,2101479,57],[2101479,2102530,78],[2102530,2103582,77],[2103582,2104634,92],[2104634,2105687,75],[2105687,2106740,64],[2106740,2107794,59],[2107794,2108848,76],[2108848,2109903,73],[2109903,2110958,95],[2110958,2112014,71],[2112014,2113071,55],[2113071,2114128,70],[2114128,2115186,82],[2115186,2116244,83],[2116244,2117303,80],[2117303,2118362,83],[2118362,2119422,56],[2119422,2120482,100],[2120482,2121543,68],[2121543,2122604,76],[2122604,2123666,72],[2123666,2124728,85],[2124728,2125791,62],[2125791,2126854,75],[2126854,2127918,78],[2127918,2128982,66],[2128982,2130047,79],[2130047,2131113,82],[2131113,2132179,75],[2132179,2133246,69],[2133246,2134313,65],[2134313,2135381,70],[2135381,2136449,77],[2136449,2137518,76],[2137518,2138587,65],[2138587,2139657,60],[2139657,2140727,77],[2140727,2141798,78],[2141798,2142869,94],[2142869,2143941,88],[2143941,2145013,113],[2145013,2146086,61],[2146086,2147160,76],[2147160,2148234,42],[2148234,2149309,75],[2149309,2150384,59],[2150384,2151460,76],[2151460,2152536,82],[2152536,2153613,68],[2153613,2154690,87],[2154690,2155768,93],[2155768,2156846,57],[2156846,2157925,100],[2157925,2159004,82],[2159004,2160084,92],[2160084,2161165,68],[2161165,2162246,67],[2162246,2163328,57],[2163328,2164410,51],[2164410,2165493,87],[2165493,2166576,75],[2166576,2167660,56],[2167660,2168744,99],[2168744,2169829,58],[2169829,2170914,86],[2170914,2172000,71],[2172000,2173086,65],[2173086,2174173,62],[2174173,2175261,46],[2175261,2176349,92],[2176349,2177438,67],[2177438,2178527,104],[2178527,2179617,55],[2179617,2180707,75],[2180707,2181798,78],[2181798,2182889,76],[2182889,2183981,59],[2183981,2185073,66],[2185073,2186166,59],[2186166,2187260,51],[2187260,2188354,68],[2188354,2189449,89],[2189449,2190544,81],[2190544,2191640,96],[2191640,2192736,57],[2192736,2193833,71],[2193833,2194930,69],[2194930,2196028,80],[2196028,2197127,79],[2197127,2198226,63],[2198226,2199326,95],[2199326,2200426,81],[2200426,2201527,92],[2201527,2202628,53],[2202628,2203730,58],[2203730,2204832,91],[2204832,2205935,85],[2205935,2207038,86],[2207038,2208142,60],[2208142,2209247,66],[2209247,2210352,93],[2210352,2211458,52],[2211458,2212564,74],[2212564,2213671,72],[2213671,2214778,55],[2214778,2215886,83],[2215886,2216994,80],[2216994,2218103,79],[2218103,2219213,73],[2219213,2220323,77],[2220323,2221434,57],[2221434,2222545,68],[2222545,2223657,79],[2223657,2224769,87],[2224769,2225882,93],[2225882,2226995,82],[2226995,2228109,85],[2228109,2229224,73],[2229224,2230339,73],[2230339,2231455,83],[2231455,2232571,67],[2232571,2233688,101],[2233688,2234805,95],[2234805,2235923,62],[2235923,2237041,86],[2237041,2238160,82],[2238160,2239280,64],[2239280,2240400,76],[2240400,2241521,81],[2241521,2242642,58],[2242642,2243764,93],[2243764,2244886,66],[2244886,2246009,88],[2246009,2247133,101],[2247133,2248257,67],[2248257,2249382,70],[2249382,2250507,70],[2250507,2251633,81],[2251633,2252759,72],[2252759,2253886,68],[2253886,2255013,86],[2255013,2256141,100],[2256141,2257270,87],[2257270,2258399,80],[2258399,2259529,65],[2259529,2260659,85],[2260659,2261790,74],[2261790,2262921,61],[2262921,2264053,83],[2264053,2265186,75],[2265186,2266319,63],[2266319,2267453,91],[2267453,2268587,81],[2268587,2269722,98],[2269722,2270857,95],[2270857,2271993,73],[2271993,2273129,73],[2273129,2274266,125],[2274266,2275404,88],[2275404,2276542,87],[2276542,2277681,85],[2277681,2278820,77],[2278820,2279960,71],[2279960,2281100,92],[2281100,2282241,99],[2282241,2283383,67],[2283383,2284525,98],[2284525,2285668,85],[2285668,2286811,77],[2286811,2287955,78],[2287955,2289099,58],[2289099,2290244,61],[2290244,2291390,91],[2291390,2292536,94],[2292536,2293683,59],[2293683,2294830,49],[2294830,2295978,84],[2295978,2297126,62],[2297126,2298275,73],[2298275,2299425,67],[2299425,2300575,90],[2300575,2301726,63],[2301726,2302877,81],[2302877,2304029,112],[2304029,2305182,92],[2305182,2306335,73],[2306335,2307489,77],[2307489,2308643,92],[2308643,2309798,101],[2309798,2310953,100],[2310953,2312109,80],[2312109,2313266,91],[2313266,2314423,67],[2314423,2315581,83],[2315581,2316739,78],[2316739,2317898,94],[2317898,2319057,77],[2319057,2320217,58],[2320217,2321378,68],[2321378,2322539,65],[2322539,2323701,83],[2323701,2324863,73],[2324863,2326026,77],[2326026,2327190,98],[2327190,2328354,106],[2328354,2329519,89],[2329519,2330684,71],[2330684,2331850,78],[2331850,2333016,86],[2333016,2334183,60],[2334183,2335351,83],[2335351,2336519,90],[2336519,2337688,89],[2337688,2338857,92],[2338857,2340027,80],[2340027,2341198,72],[2341198,2342369,88],[2342369,2343541,64],[2343541,2344713,68],[2344713,2345886,84],[2345886,2347059,63],[2347059,2348233,100],[2348233,2349408,85],[2349408,2350583,61],[2350583,2351759,96],[2351759,2352935,79],[2352935,2354112,77],[2354112,2355290,89],[2355290,2356468,63],[2356468,2357647,79],[2357647,2358826,95],[2358826,2360006,83],[2360006,2361187,89],[2361187,2362368,90],[2362368,2363550,86],[2363550,2364732,84],[2364732,2365915,93],[2365915,2367098,63],[2367098,2368282,78],[2368282,2369467,96],[2369467,2370652,60],[2370652,2371838,79],[2371838,2373024,96],[2373024,2374211,86],[2374211,2375399,64],[2375399,2376587,98],[2376587,2377776,101],[2377776,2378965,69],[2378965,2380155,79],[2380155,2381346,94],[2381346,2382537,78],[2382537,2383729,58],[2383729,2384921,96],[2384921,2386114,68],[2386114,2387308,80],[2387308,2388502,74],[2388502,2389697,85],[2389697,2390892,91],[2390892,2392088,96],[2392088,2393285,73],[2393285,2394482,65],[2394482,2395680,72],[2395680,2396878,102],[2396878,2398077,92],[2398077,2399277,81],[2399277,2400477,84],[2400477,2401678,77],[2401678,2402879,81],[2402879,2404081,84],[2404081,2405284,95],[2405284,2406487,80],[2406487,2407691,62],[2407691,2408895,63],[2408895,2410100,83],[2410100,2411306,81],[2411306,2412512,93],[2412512,2413719,98],[2413719,2414926,76],[2414926,2416134,73],[2416134,2417343,70],[2417343,2418552,85],[2418552,2419762,100],[2419762,2420972,90],[2420972,2422183,75],[2422183,2423395,95],[2423395,2424607,96],[2424607,2425820,80],[2425820,2427033,70],[2427033,2428247,121],[2428247,2429462,86],[2429462,2430677,57],[2430677,2431893,124],[2431893,2433109,82],[2433109,2434326,77],[2434326,2435544,75],[2435544,2436762,88],[2436762,2437981,62],[2437981,2439200,66],[2439200,2440420,83],[2440420,2441641,100],[2441641,2442862,89],[2442862,2444084,107],[2444084,2445307,91],[2445307,2446530,77],[2446530,2447754,73],[2447754,2448978,83],[2448978,2450203,68],[2450203,2451429,76],[2451429,2452655,78],[2452655,2453882,107],[2453882,2455109,61],[2455109,2456337,88],[2456337,2457566,84],[2457566,2458795,69],[2458795,2460025,68],[2460025,2461256,81],[2461256,2462487,80],[2462487,2463719,88],[2463719,2464951,87],[2464951,2466184,99],[2466184,2467418,82],[2467418,2468652,82],[2468652,2469887,64],[2469887,2471122,78],[2471122,2472358,79],[2472358,2473595,97],[2473595,2474832,110],[2474832,2476070,69],[2476070,2477309,89],[2477309,2478548,99],[2478548,2479788,84],[2479788,2481028,80],[2481028,2482269,69],[2482269,2483511,77],[2483511,2484753,105],[2484753,2485996,91],[2485996,2487239,92],[2487239,2488483,72],[2488483,2489728,95],[2489728,2490973,67],[2490973,2492219,67],[2492219,2493466,68],[2493466,2494713,87],[2494713,2495961,75],[2495961,2497209,85],[2497209,2498458,95],[2498458,2499708,73],[2499708,2500958,111],[2500958,2502209,85],[2502209,2503461,82],[2503461,2504713,106],[2504713,2505966,77],[2505966,2507219,84],[2507219,2508473,81],[2508473,2509728,66],[2509728,2510983,106],[2510983,2512239,102],[2512239,2513496,96],[2513496,2514753,74],[2514753,2516011,77],[2516011,2517270,59],[2517270,2518529,90],[2518529,2519789,89],[2519789,2521049,103],[2521049,2522310,85],[2522310,2523572,103],[2523572,2524834,91],[2524834,2526097,73],[2526097,2527361,76],[2527361,2528625,68],[2528625,2529890,100],[2529890,2531155,98],[2531155,2532421,86],[2532421,2533688,65],[2533688,2534955,89],[2534955,2536223,52],[2536223,2537492,61],[2537492,2538761,77],[2538761,2540031,72],[2540031,2541302,82],[2541302,2542573,64],[2542573,2543845,78],[2543845,2545117,69],[2545117,2546390,68],[2546390,2547664,73],[2547664,2548938,94],[2548938,2550213,80],[2550213,2551489,82],[2551489,2552765,89],[2552765,2554042,64],[2554042,2555320,112],[2555320,2556598,86],[2556598,2557877,92],[2557877,2559156,101],[2559156,2560436,91],[2560436,2561717,72],[2561717,2562998,77],[2562998,2564280,93],[2564280,2565563,87],[2565563,2566846,105],[2566846,2568130,108],[2568130,2569415,81],[2569415,2570700,84],[2570700,2571986,84],[2571986,2573272,76],[2573272,2574559,85],[2574559,2575847,97],[2575847,2577135,94],[2577135,2578424,95],[2578424,2579714,91],[2579714,2581004,96],[2581004,2582295,92],[2582295,2583587,81],[2583587,2584879,78],[2584879,2586172,99],[2586172,2587466,93],[2587466,2588760,99],[2588760,2590055,97],[2590055,2591351,87],[2591351,2592647,95],[2592647,2593944,102],[2593944,2595241,93],[2595241,2596539,96],[2596539,2597838,83],[2597838,2599137,106],[2599137,2600437,91],[2600437,2601738,70],[2601738,2603039,75],[2603039,2604341,80],[2604341,2605644,82],[2605644,2606947,114],[2606947,2608251,81],[2608251,2609556,123],[2609556,2610861,72],[2610861,2612167,85],[2612167,2613474,94],[2613474,2614781,102],[2614781,2616089,100],[2616089,2617398,76],[2617398,2618707,88],[2618707,2620017,78],[2620017,2621328,78],[2621328,2622639,94],[2622639,2623951,71],[2623951,2625263,112],[2625263,2626576,80],[2626576,2627890,117],[2627890,2629204,88],[2629204,2630519,93],[2630519,2631835,95],[2631835,2633151,93],[2633151,2634468,76],[2634468,2635786,89],[2635786,2637104,76],[2637104,2638423,73],[2638423,2639743,102],[2639743,2641063,90],[2641063,2642384,121],[2642384,2643706,121],[2643706,2645028,92],[2645028,2646351,88],[2646351,2647675,84],[2647675,2648999,90],[2648999,2650324,85],[2650324,2651650,108],[2651650,2652976,127],[2652976,2654303,104],[2654303,2655631,126],[2655631,2656959,94],[2656959,2658288,96],[2658288,2659618,96],[2659618,2660948,88],[2660948,2662279,116],[2662279,2663611,82],[2663611,2664943,80],[2664943,2666276,87],[2666276,2667610,91],[2667610,2668944,93],[2668944,2670279,91],[2670279,2671615,71],[2671615,2672951,82],[2672951,2674288,78],[2674288,2675626,109],[2675626,2676964,89],[2676964,2678303,77],[2678303,2679643,96],[2679643,2680983,94],[2680983,2682324,84],[2682324,2683666,90],[2683666,2685008,102],[2685008,2686351,84],[2686351,2687695,97],[2687695,2689039,93],[2689039,2690384,103],[2690384,2691730,104],[2691730,2693076,88],[2693076,2694423,110],[2694423,2695771,66],[2695771,2697119,121],[2697119,2698468,94],[2698468,2699818,90],[2699818,2701168,74],[2701168,2702519,86],[2702519,2703871,83],[2703871,2705223,103],[2705223,2706576,82],[2706576,2707930,80],[2707930,2709284,124],[2709284,2710639,73],[2710639,2711995,73],[2711995,2713351,85],[2713351,2714708,95],[2714708,2716066,98],[2716066,2717425,96],[2717425,2718784,107],[2718784,2720144,110],[2720144,2721505,79],[2721505,2722866,92],[2722866,2724228,114],[2724228,2725591,78],[2725591,2726954,74],[2726954,2728318,89],[2728318,2729683,87],[2729683,2731048,55],[2731048,2732414,101],[2732414,2733781,82],[2733781,2735148,141],[2735148,2736516,127],[2736516,2737885,67],[2737885,2739254,109],[2739254,2740624,110],[2740624,2741995,94],[2741995,2743366,101],[2743366,2744738,80],[2744738,2746111,87],[2746111,2747485,89],[2747485,2748859,131],[2748859,2750234,86],[2750234,2751610,64],[2751610,2752986,84],[2752986,2754363,86],[2754363,2755741,90],[2755741,2757119,90],[2757119,2758498,74],[2758498,2759878,97],[2759878,2761258,115],[2761258,2762639,100],[2762639,2764021,82],[2764021,2765404,96],[2765404,2766787,86],[2766787,2768171,80],[2768171,2769556,108],[2769556,2770941,69],[2770941,2772327,122],[2772327,2773714,102],[2773714,2775101,86],[2775101,2776489,84],[2776489,2777878,112],[2777878,2779267,91],[2779267,2780657,89],[2780657,2782048,94],[2782048,2783440,81],[2783440,2784832,94],[2784832,2786225,93],[2786225,2787619,95],[2787619,2789013,67],[2789013,2790408,75],[2790408,2791804,105],[2791804,2793200,112],[2793200,2794597,88],[2794597,2795995,103],[2795995,2797393,84],[2797393,2798792,98],[2798792,2800192,118],[2800192,2801593,85],[2801593,2802994,95],[2802994,2804396,108],[2804396,2805799,83],[2805799,2807202,102],[2807202,2808606,93],[2808606,2810011,89],[2810011,2811417,96],[2811417,2812823,91],[2812823,2814230,111],[2814230,2815638,95],[2815638,2817046,78],[2817046,2818455,87],[2818455,2819865,106],[2819865,2821275,109],[2821275,2822686,97],[2822686,2824098,75],[2824098,2825511,117],[2825511,2826924,82],[2826924,2828338,55],[2828338,2829753,91],[2829753,2831168,81],[2831168,2832584,127],[2832584,2834001,123],[2834001,2835419,84],[2835419,2836837,64],[2836837,2838256,112],[2838256,2839676,84],[2839676,2841096,79],[2841096,2842517,77],[2842517,2843939,113],[2843939,2845361,93],[2845361,2846784,87],[2846784,2848208,118],[2848208,2849633,106],[2849633,2851058,73],[2851058,2852484,113],[2852484,2853911,81],[2853911,2855338,108],[2855338,2856766,76],[2856766,2858195,104],[2858195,2859625,91],[2859625,2861055,90],[2861055,2862486,94],[2862486,2863918,96],[2863918,2865350,92],[2865350,2866783,103],[2866783,2868217,105],[2868217,2869652,92],[2869652,2871087,109],[2871087,2872523,123],[2872523,2873960,99],[2873960,2875397,92],[2875397,2876835,92],[2876835,2878274,97],[2878274,2879714,136],[2879714,2881154,126],[2881154,2882595,80],[2882595,2884037,90],[2884037,2885480,112],[2885480,2886923,107],[2886923,2888367,99],[2888367,2889812,92],[2889812,2891257,93],[2891257,2892703,77],[2892703,2894150,122],[2894150,2895598,83],[2895598,2897046,106],[2897046,2898495,70],[2898495,2899945,107],[2899945,2901395,107],[2901395,2902846,103],[2902846,2904298,94],[2904298,2905751,110],[2905751,2907204,75],[2907204,2908658,134],[2908658,2910113,106],[2910113,2911569,97],[2911569,2913025,81],[2913025,2914482,97],[2914482,2915940,84],[2915940,2917398,113],[2917398,2918857,107],[2918857,2920317,99],[2920317,2921778,110],[2921778,2923239,104],[2923239,2924701,80],[2924701,2926164,113],[2926164,2927628,83],[2927628,2929092,98],[2929092,2930557,136],[2930557,2932023,78],[2932023,2933490,76],[2933490,2934957,110],[2934957,2936425,96],[2936425,2937894,135],[2937894,2939363,98],[2939363,2940833,75],[2940833,2942304,84],[2942304,2943776,100],[2943776,2945248,111],[2945248,2946721,100],[2946721,2948195,80],[2948195,2949670,97],[2949670,2951145,104],[2951145,2952621,103],[2952621,2954098,88],[2954098,2955576,96],[2955576,2957054,87],[2957054,2958533,114],[2958533,2960013,94],[2960013,2961494,87],[2961494,2962975,118],[2962975,2964457,114],[2964457,2965940,119],[2965940,2967423,90],[2967423,2968907,84],[2968907,2970392,153],[2970392,2971878,114],[2971878,2973364,109],[2973364,2974851,89],[2974851,2976339,80],[2976339,2977828,85],[2977828,2979317,84],[2979317,2980807,107],[2980807,2982298,85],[2982298,2983790,110],[2983790,2985282,89],[2985282,2986775,109],[2986775,2988269,76],[2988269,2989764,106],[2989764,2991259,105],[2991259,2992755,97],[2992755,2994252,115],[2994252,2995750,101],[2995750,2997248,98],[2997248,2998747,109],[2998747,3000247,137],[3000247,3001748,86],[3001748,3003249,119],[3003249,3004751,99],[3004751,3006254,90],[3006254,3007758,96],[3007758,3009262,70],[3009262,3010767,85],[3010767,3012273,107],[3012273,3013780,84],[3013780,3015287,140],[3015287,3016795,86],[3016795,3018304,81],[3018304,3019814,129],[3019814,3021324,113],[3021324,3022835,78],[3022835,3024347,101],[3024347,3025860,124],[3025860,3027373,86],[3027373,3028887,91],[3028887,3030402,96],[3030402,3031918,101],[3031918,3033434,130],[3033434,3034951,89],[3034951,3036469,93],[3036469,3037988,109],[3037988,3039507,98],[3039507,3041027,89],[3041027,3042548,103],[3042548,3044070,115],[3044070,3045593,78],[3045593,3047116,80],[3047116,3048640,122],[3048640,3050165,86],[3050165,3051691,113],[3051691,3053217,108],[3053217,3054744,113],[3054744,3056272,93],[3056272,3057801,93],[3057801,3059330,110],[3059330,3060860,97],[3060860,3062391,97],[3062391,3063923,78],[3063923,3065455,82],[3065455,3066988,92],[3066988,3068522,101],[3068522,3070057,99],[3070057,3071593,106],[3071593,3073129,124],[3073129,3074666,107],[3074666,3076204,114],[3076204,3077743,111],[3077743,3079282,73],[3079282,3080822,127],[3080822,3082363,96],[3082363,3083905,84],[3083905,3085447,97],[3085447,3086990,93],[3086990,3088534,84],[3088534,3090079,109],[3090079,3091625,102],[3091625,3093171,101],[3093171,3094718,99],[3094718,3096266,131],[3096266,3097815,93],[3097815,3099364,92],[3099364,3100914,80],[3100914,3102465,97],[3102465,3104017,115],[3104017,3105570,134],[3105570,3107123,105],[3107123,3108677,122],[3108677,3110232,92],[3110232,3111788,99],[3111788,3113344,91],[3113344,3114901,136],[3114901,3116459,111],[3116459,3118018,108],[3118018,3119578,115],[3119578,3121138,76],[3121138,3122699,104],[3122699,3124261,112],[3124261,3125824,102],[3125824,3127387,85],[3127387,3128951,112],[3128951,3130516,132],[3130516,3132082,99],[3132082,3133649,108],[3133649,3135216,92],[3135216,3136784,98],[3136784,3138353,80],[3138353,3139923,112],[3139923,3141493,87],[3141493,3143064,96],[3143064,3144636,93],[3144636,3146209,83],[3146209,3147783,130],[3147783,3149357,119],[3149357,3150932,130],[3150932,3152508,100],[3152508,3154085,109],[3154085,3155663,134],[3155663,3157241,106],[3157241,3158820,117],[3158820,3160400,103],[3160400,3161981,85],[3161981,3163562,96],[3163562,3165144,93],[3165144,3166727,120],[3166727,3168311,105],[3168311,3169896,104],[3169896,3171481,133],[3171481,3173067,89],[3173067,3174654,134],[3174654,3176242,92],[3176242,3177831,78],[3177831,3179420,118],[3179420,3181010,101],[3181010,3182601,101],[3182601,3184193,123],[3184193,3185786,85],[3185786,3187379,114],[3187379,3188973,113],[3188973,3190568,103],[3190568,3192164,88],[3192164,3193761,123],[3193761,3195358,105],[3195358,3196956,77],[3196956,3198555,88],[3198555,3200155,112],[3200155,3201756,88],[3201756,3203357,118],[3203357,3204959,101],[3204959,3206562,95],[3206562,3208166,112],[3208166,3209771,124],[3209771,3211376,97],[3211376,3212982,135],[3212982,3214589,106],[3214589,3216197,110],[3216197,3217806,120],[3217806,3219415,97],[3219415,3221025,69],[3221025,3222636,131],[3222636,3224248,113],[3224248,3225861,93],[3225861,3227474,101],[3227474,3229088,98],[3229088,3230703,132],[3230703,3232319,90],[3232319,3233936,120],[3233936,3235553,106],[3235553,3237171,108],[3237171,3238790,128],[3238790,3240410,114],[3240410,3242031,104],[3242031,3243653,81],[3243653,3245275,76],[3245275,3246898,102],[3246898,3248522,150],[3248522,3250147,102],[3250147,3251773,90],[3251773,3253399,93],[3253399,3255026,102],[3255026,3256654,111],[3256654,3258283,94],[3258283,3259913,120],[3259913,3261543,109],[3261543,3263174,109],[3263174,3264806,90],[3264806,3266439,124],[3266439,3268073,89],[3268073,3269708,107],[3269708,3271343,122],[3271343,3272979,117],[3272979,3274616,90],[3274616,3276254,120],[3276254,3277893,113],[3277893,3279532,110],[3279532,3281172,99],[3281172,3282813,118],[3282813,3284455,130],[3284455,3286098,99],[3286098,3287742,106],[3287742,3289386,109],[3289386,3291031,135],[3291031,3292677,123],[3292677,3294324,113],[3294324,3295972,104],[3295972,3297620,103],[3297620,3299269,109],[3299269,3300919,118],[3300919,3302570,130],[3302570,3304222,93],[3304222,3305875,121],[3305875,3307528,131],[3307528,3309182,141],[3309182,3310837,97],[3310837,3312493,106],[3312493,3314150,87],[3314150,3315808,101],[3315808,3317466,98],[3317466,3319125,84],[3319125,3320785,102],[3320785,3322446,150],[3322446,3324108,89],[3324108,3325771,111],[3325771,3327434,122],[3327434,3329098,90],[3329098,3330763,84],[3330763,3332429,107],[3332429,3334096,112],[3334096,3335764,116],[3335764,3337432,124],[3337432,3339101,115],[3339101,3340771,86],[3340771,3342442,117],[3342442,3344114,121],[3344114,3345787,100],[3345787,3347460,116],[3347460,3349134,132],[3349134,3350809,98],[3350809,3352485,96],[3352485,3354162,116],[3354162,3355840,105],[3355840,3357518,99],[3357518,3359197,97],[3359197,3360877,117],[3360877,3362558,103],[3362558,3364240,80],[3364240,3365923,123],[3365923,3367606,111],[3367606,3369290,112],[3369290,3370975,138],[3370975,3372661,134],[3372661,3374348,114],[3374348,3376036,118],[3376036,3377725,111],[3377725,3379414,99],[3379414,3381104,108],[3381104,3382795,122],[3382795,3384487,79],[3384487,3386180,139],[3386180,3387874,133],[3387874,3389568,93],[3389568,3391263,111],[3391263,3392959,79],[3392959,3394656,105],[3394656,3396354,118],[3396354,3398053,132],[3398053,3399753,107],[3399753,3401453,113],[3401453,3403154,108],[3403154,3404856,143],[3404856,3406559,118],[3406559,3408263,91],[3408263,3409968,104],[3409968,3411673,121],[3411673,3413379,150],[3413379,3415086,115],[3415086,3416794,99],[3416794,3418503,101],[3418503,3420213,126],[3420213,3421924,113],[3421924,3423635,117],[3423635,3425347,125],[3425347,3427060,130],[3427060,3428774,143],[3428774,3430489,75],[3430489,3432205,112],[3432205,3433922,118],[3433922,3435639,123],[3435639,3437357,129],[3437357,3439076,109],[3439076,3440796,125],[3440796,3442517,136],[3442517,3444239,129],[3444239,3445962,161],[3445962,3447685,100],[3447685,3449409,98],[3449409,3451134,146],[3451134,3452860,58],[3452860,3454587,131],[3454587,3456315,113],[3456315,3458044,100],[3458044,3459774,113],[3459774,3461504,118],[3461504,3463235,95],[3463235,3464967,114],[3464967,3466700,103],[3466700,3468434,119],[3468434,3470169,80],[3470169,3471905,80],[3471905,3473641,111],[3473641,3475378,120],[3475378,3477116,104],[3477116,3478855,104],[3478855,3480595,96],[3480595,3482336,116],[3482336,3484078,107],[3484078,3485821,115],[3485821,3487564,134],[3487564,3489308,117],[3489308,3491053,94],[3491053,3492799,120],[3492799,3494546,150],[3494546,3496294,114],[3496294,3498043,107],[3498043,3499793,107],[3499793,3501543,82],[3501543,3503294,116],[3503294,3505046,149],[3505046,3506799,96],[3506799,3508553,128],[3508553,3510308,93],[3510308,3512064,143],[3512064,3513821,115],[3513821,3515578,104],[3515578,3517336,120],[3517336,3519095,97],[3519095,3520855,105],[3520855,3522616,125],[3522616,3524378,98],[3524378,3526141,114],[3526141,3527905,107],[3527905,3529669,110],[3529669,3531434,144],[3531434,3533200,146],[3533200,3534967,129],[3534967,3536735,109],[3536735,3538504,111],[3538504,3540274,107],[3540274,3542045,138],[3542045,3543817,99],[3543817,3545589,127],[3545589,3547362,118],[3547362,3549136,111],[3549136,3550911,108],[3550911,3552687,112],[3552687,3554464,125],[3554464,3556242,112],[3556242,3558021,120],[3558021,3559801,112],[3559801,3561581,118],[3561581,3563362,132],[3563362,3565144,114],[3565144,3566927,164],[3566927,3568711,157],[3568711,3570496,136],[3570496,3572282,96],[3572282,3574069,123],[3574069,3575857,104],[3575857,3577645,102],[3577645,3579434,116],[3579434,3581224,136],[3581224,3583015,115],[3583015,3584807,111],[3584807,3586600,116],[3586600,3588394,125],[3588394,3590189,117],[3590189,3591985,96],[3591985,3593781,114],[3593781,3595578,103],[3595578,3597376,135],[3597376,3599175,111],[3599175,3600975,113],[3600975,3602776,127],[3602776,3604578,122],[3604578,3606381,114],[3606381,3608185,112],[3608185,3609990,127],[3609990,3611795,118],[3611795,3613601,131],[3613601,3615408,104],[3615408,3617216,116],[3617216,3619025,112],[3619025,3620835,126],[3620835,3622646,135],[3622646,3624458,99],[3624458,3626271,94],[3626271,3628085,119],[3628085,3629900,127],[3629900,3631715,98],[3631715,3633531,84],[3633531,3635348,132],[3635348,3637166,105],[3637166,3638985,81],[3638985,3640805,124],[3640805,3642626,104],[3642626,3644448,101],[3644448,3646271,114],[3646271,3648095,112],[3648095,3649920,102],[3649920,3651745,106],[3651745,3653571,114],[3653571,3655398,137],[3655398,3657226,141],[3657226,3659055,121],[3659055,3660885,111],[3660885,3662716,116],[3662716,3664548,140],[3664548,3666381,165],[3666381,3668215,85],[3668215,3670050,107],[3670050,3671886,125],[3671886,3673722,144],[3673722,3675559,122],[3675559,3677397,124],[3677397,3679236,115],[3679236,3681076,99],[3681076,3682917,102],[3682917,3684759,108],[3684759,3686602,141],[3686602,3688446,96],[3688446,3690291,151],[3690291,3692137,142],[3692137,3693984,115],[3693984,3695831,123],[3695831,3697679,138],[3697679,3699528,133],[3699528,3701378,138],[3701378,3703229,131],[3703229,3705081,81],[3705081,3706934,136],[3706934,3708788,108],[3708788,3710643,96],[3710643,3712499,148],[3712499,3714356,117],[3714356,3716214,145],[3716214,3718073,93],[3718073,3719933,120],[3719933,3721793,128],[3721793,3723654,101],[3723654,3725516,144],[3725516,3727379,122],[3727379,3729243,94],[3729243,3731108,135],[3731108,3732974,105],[3732974,3734841,144],[3734841,3736709,153],[3736709,3738578,139],[3738578,3740448,100],[3740448,3742319,128],[3742319,3744191,124],[3744191,3746064,113],[3746064,3747938,131],[3747938,3749812,155],[3749812,3751687,115],[3751687,3753563,164],[3753563,3755440,123],[3755440,3757318,108],[3757318,3759197,92],[3759197,3761077,97],[3761077,3762958,115],[3762958,3764840,109],[3764840,3766723,129],[3766723,3768607,149],[3768607,3770492,114],[3770492,3772378,101],[3772378,3774265,112],[3774265,3776153,130],[3776153,3778042,130],[3778042,3779932,103],[3779932,3781822,98],[3781822,3783713,121],[3783713,3785605,142],[3785605,3787498,123],[3787498,3789392,100],[3789392,3791287,88],[3791287,3793183,132],[3793183,3795080,146],[3795080,3796978,146],[3796978,3798877,118],[3798877,3800777,132],[3800777,3802678,109],[3802678,3804580,115],[3804580,3806483,127],[3806483,3808387,113],[3808387,3810292,133],[3810292,3812198,123],[3812198,3814105,123],[3814105,3816013,139],[3816013,3817922,133],[3817922,3819831,117],[3819831,3821741,132],[3821741,3823652,118],[3823652,3825564,108],[3825564,3827477,93],[3827477,3829391,136],[3829391,3831306,169],[3831306,3833222,119],[3833222,3835139,134],[3835139,3837057,115],[3837057,3838976,128],[3838976,3840896,129],[3840896,3842817,129],[3842817,3844739,117],[3844739,3846662,133],[3846662,3848586,126],[3848586,3850511,118],[3850511,3852437,111],[3852437,3854364,119],[3854364,3856292,117],[3856292,3858221,120],[3858221,3860151,144],[3860151,3862082,106],[3862082,3864014,102],[3864014,3865947,112],[3865947,3867880,110],[3867880,3869814,150],[3869814,3871749,110],[3871749,3873685,106],[3873685,3875622,109],[3875622,3877560,145],[3877560,3879499,116],[3879499,3881439,131],[3881439,3883380,93],[3883380,3885322,101],[3885322,3887265,139],[3887265,3889209,113],[3889209,3891154,108],[3891154,3893100,138],[3893100,3895047,153],[3895047,3896995,118],[3896995,3898944,132],[3898944,3900894,140],[3900894,3902845,135],[3902845,3904797,119],[3904797,3906750,129],[3906750,3908704,135],[3908704,3910659,124],[3910659,3912615,134],[3912615,3914572,142],[3914572,3916530,136],[3916530,3918489,114],[3918489,3920449,129],[3920449,3922410,130],[3922410,3924372,126],[3924372,3926335,143],[3926335,3928299,117],[3928299,3930264,143],[3930264,3932230,148],[3932230,3934197,137],[3934197,3936165,106],[3936165,3938134,122],[3938134,3940104,124],[3940104,3942075,163],[3942075,3944047,122],[3944047,3946020,109],[3946020,3947994,150],[3947994,3949968,132],[3949968,3951943,103],[3951943,3953919,126],[3953919,3955896,152],[3955896,3957874,109],[3957874,3959853,148],[3959853,3961833,108],[3961833,3963814,163],[3963814,3965796,139],[3965796,3967779,132],[3967779,3969763,122],[3969763,3971748,167],[3971748,3973734,169],[3973734,3975721,129],[3975721,3977709,128],[3977709,3979698,125],[3979698,3981688,123],[3981688,3983679,105],[3983679,3985671,102],[3985671,3987664,147],[3987664,3989658,131],[3989658,3991653,151],[3991653,3993649,136],[3993649,3995646,142],[3995646,3997644,100],[3997644,3999643,133],[3999643,4001643,128],[4001643,4003644,117],[4003644,4005646,134],[4005646,4007649,126],[4007649,4009653,132],[4009653,4011658,146],[4011658,4013664,125],[4013664,4015671,145],[4015671,4017679,123],[4017679,4019688,126],[4019688,4021698,124],[4021698,4023709,140],[4023709,4025721,145],[4025721,4027734,147],[4027734,4029748,125],[4029748,4031763,154],[4031763,4033779,113],[4033779,4035796,146],[4035796,4037814,166],[4037814,4039833,150],[4039833,4041853,123],[4041853,4043874,135],[4043874,4045896,128],[4045896,4047919,123],[4047919,4049943,150],[4049943,4051968,112],[4051968,4053994,133],[4053994,4056021,125],[4056021,4058050,147],[4058050,4060080,131],[4060080,4062111,120],[4062111,4064143,112],[4064143,4066176,139],[4066176,4068210,119],[4068210,4070245,124],[4070245,4072281,120],[4072281,4074318,176],[4074318,4076356,132],[4076356,4078395,123],[4078395,4080435,130],[4080435,4082476,118],[4082476,4084518,142],[4084518,4086561,149],[4086561,4088605,112],[4088605,4090650,105],[4090650,4092696,142],[4092696,4094743,140],[4094743,4096791,133],[4096791,4098840,146],[4098840,4100890,133],[4100890,4102941,103],[4102941,4104993,132],[4104993,4107046,122],[4107046,4109100,117],[4109100,4111155,135],[4111155,4113211,135],[4113211,4115268,124],[4115268,4117326,113],[4117326,4119385,141],[4119385,4121445,141],[4121445,4123506,119],[4123506,4125568,136],[4125568,4127631,126],[4127631,4129695,118],[4129695,4131760,118],[4131760,4133826,164],[4133826,4135893,129],[4135893,4137961,129],[4137961,4140030,119],[4140030,4142101,124],[4142101,4144173,154],[4144173,4146246,113],[4146246,4148320,137],[4148320,4150395,140],[4150395,4152471,114],[4152471,4154548,127],[4154548,4156626,131],[4156626,4158705,131],[4158705,4160785,140],[4160785,4162866,154],[4162866,4164948,147],[4164948,4167031,163],[4167031,4169115,148],[4169115,4171200,121],[4171200,4173286,125],[4173286,4175373,110],[4175373,4177461,129],[4177461,4179550,147],[4179550,4181640,115],[4181640,4183731,158],[4183731,4185823,133],[4185823,4187916,155],[4187916,4190010,156],[4190010,4192106,136],[4192106,4194203,131],[4194203,4196301,142],[4196301,4198400,152],[4198400,4200500,148],[4200500,4202601,163],[4202601,4204703,151],[4204703,4206806,144],[4206806,4208910,122],[4208910,4211015,127],[4211015,4213121,143],[4213121,4215228,134],[4215228,4217336,109],[4217336,4219445,127],[4219445,4221555,135],[4221555,4223666,174],[4223666,4225778,153],[4225778,4227891,139],[4227891,4230005,143],[4230005,4232121,160],[4232121,4234238,124],[4234238,4236356,132],[4236356,4238475,112],[4238475,4240595,155],[4240595,4242716,132],[4242716,4244838,126],[4244838,4246961,129],[4246961,4249085,126],[4249085,4251210,134],[4251210,4253336,163],[4253336,4255463,120],[4255463,4257591,127],[4257591,4259720,139],[4259720,4261850,140],[4261850,4263981,126],[4263981,4266113,147],[4266113,4268247,150],[4268247,4270382,113],[4270382,4272518,173],[4272518,4274655,140],[4274655,4276793,137],[4276793,4278932,140],[4278932,4281072,113],[4281072,4283213,162],[4283213,4285355,135],[4285355,4287498,159],[4287498,4289642,125],[4289642,4291787,142],[4291787,4293933,167],[4293933,4296080,148],[4296080,4298229,159],[4298229,4300379,127],[4300379,4302530,136],[4302530,4304682,125],[4304682,4306835,133],[4306835,4308989,128],[4308989,4311144,115],[4311144,4313300,170],[4313300,4315457,112],[4315457,4317615,174],[4317615,4319774,144],[4319774,4321934,123],[4321934,4324095,121],[4324095,4326258,149],[4326258,4328422,125],[4328422,4330587,144],[4330587,4332753,138],[4332753,4334920,121],[4334920,4337088,180],[4337088,4339257,139],[4339257,4341427,147],[4341427,4343598,161],[4343598,4345770,165],[4345770,4347943,140],[4347943,4350117,139],[4350117,4352293,167],[4352293,4354470,131],[4354470,4356648,142],[4356648,4358827,175],[4358827,4361007,157],[4361007,4363188,131],[4363188,4365370,132],[4365370,4367553,155],[4367553,4369737,157],[4369737,4371922,123],[4371922,4374108,161],[4374108,4376296,148],[4376296,4378485,143],[4378485,4380675,162],[4380675,4382866,166],[4382866,4385058,133],[4385058,4387251,137],[4387251,4389445,112],[4389445,4391640,117],[4391640,4393836,153],[4393836,4396033,131],[4396033,4398232,123],[4398232,4400432,120],[4400432,4402633,149],[4402633,4404835,153],[4404835,4407038,125],[4407038,4409242,127],[4409242,4411447,180],[4411447,4413653,188],[4413653,4415860,113],[4415860,4418068,128],[4418068,4420278,178],[4420278,4422489,167],[4422489,4424701,152],[4424701,4426914,154],[4426914,4429128,181],[4429128,4431343,134],[4431343,4433559,137],[4433559,4435776,147],[4435776,4437994,162],[4437994,4440213,147],[4440213,4442434,154],[4442434,4444656,161],[4444656,4446879,157],[4446879,4449103,118],[4449103,4451328,123],[4451328,4453554,120],[4453554,4455781,138],[4455781,4458009,146],[4458009,4460239,154],[4460239,4462470,147],[4462470,4464702,124],[4464702,4466935,143],[4466935,4469169,191],[4469169,4471404,164],[4471404,4473640,149],[4473640,4475877,168],[4475877,4478115,185],[4478115,4480355,160],[4480355,4482596,134],[4482596,4484838,156],[4484838,4487081,154],[4487081,4489325,162],[4489325,4491570,133],[4491570,4493816,144],[4493816,4496063,134],[4496063,4498312,145],[4498312,4500562,138],[4500562,4502813,144],[4502813,4505065,131],[4505065,4507318,142],[4507318,4509572,139],[4509572,4511827,151],[4511827,4514083,129],[4514083,4516341,149],[4516341,4518600,148],[4518600,4520860,143],[4520860,4523121,152],[4523121,4525383,161],[4525383,4527646,164],[4527646,4529910,160],[4529910,4532175,147],[4532175,4534442,148],[4534442,4536710,138],[4536710,4538979,137],[4538979,4541249,150],[4541249,4543520,142],[4543520,4545792,147],[4545792,4548065,156],[4548065,4550340,144],[4550340,4552616,134],[4552616,4554893,167],[4554893,4557171,168],[4557171,4559450,137],[4559450,4561730,143],[4561730,4564011,170],[4564011,4566294,159],[4566294,4568578,172],[4568578,4570863,162],[4570863,4573149,134],[4573149,4575436,152],[4575436,4577724,143],[4577724,4580013,158],[4580013,4582304,137],[4582304,4584596,158],[4584596,4586889,138],[4586889,4589183,137],[4589183,4591478,170],[4591478,4593774,154],[4593774,4596071,189],[4596071,4598370,167],[4598370,4600670,142],[4600670,4602971,118],[4602971,4605273,186],[4605273,4607576,160],[4607576,4609880,188],[4609880,4612185,173],[4612185,4614492,172],[4614492,4616800,132],[4616800,4619109,180],[4619109,4621419,153],[4621419,4623730,135],[4623730,4626042,152],[4626042,4628356,141],[4628356,4630671,163],[4630671,4632987,151],[4632987,4635304,108],[4635304,4637622,162],[4637622,4639941,151],[4639941,4642261,146],[4642261,4644583,143],[4644583,4646906,150],[4646906,4649230,124],[4649230,4651555,165],[4651555,4653881,120],[4653881,4656208,161],[4656208,4658537,167],[4658537,4660867,170],[4660867,4663198,166],[4663198,4665530,160],[4665530,4667863,132],[4667863,4670197,135],[4670197,4672533,137],[4672533,4674870,150],[4674870,4677208,125],[4677208,4679547,146],[4679547,4681887,167],[4681887,4684228,161],[4684228,4686571,174],[4686571,4688915,134],[4688915,4691260,138],[4691260,4693606,152],[4693606,4695953,157],[4695953,4698301,169],[4698301,4700651,128],[4700651,4703002,171],[4703002,4705354,126],[4705354,4707707,120],[4707707,4710061,184],[4710061,4712417,171],[4712417,4714774,164],[4714774,4717132,144],[4717132,4719491,142],[4719491,4721851,156],[4721851,4724212,134],[4724212,4726575,174],[4726575,4728939,170],[4728939,4731304,153],[4731304,4733670,160],[4733670,4736037,154],[4736037,4738406,179],[4738406,4740776,156],[4740776,4743147,172],[4743147,4745519,134],[4745519,4747892,148],[4747892,4750266,156],[4750266,4752642,146],[4752642,4755019,149],[4755019,4757397,125],[4757397,4759776,169],[4759776,4762156,168],[4762156,4764538,157],[4764538,4766921,176],[4766921,4769305,163],[4769305,4771690,143],[4771690,4774076,141],[4774076,4776464,171],[4776464,4778853,135],[4778853,4781243,168],[4781243,4783634,162],[4783634,4786026,123],[4786026,4788420,187],[4788420,4790815,165],[4790815,4793211,147],[4793211,4795608,152],[4795608,4798006,162],[4798006,4800406,150],[4800406,4802807,179],[4802807,4805209,174],[4805209,4807612,139],[4807612,4810016,125],[4810016,4812422,172],[4812422,4814829,155],[4814829,4817237,141],[4817237,4819646,173],[4819646,4822056,148],[4822056,4824468,169],[4824468,4826881,166],[4826881,4829295,173],[4829295,4831710,128],[4831710,4834126,150],[4834126,4836544,182],[4836544,4838963,189],[4838963,4841383,129],[4841383,4843804,184],[4843804,4846226,161],[4846226,4848650,152],[4848650,4851075,150],[4851075,4853501,171],[4853501,4855928,152],[4855928,4858356,172],[4858356,4860786,192],[4860786,4863217,127],[4863217,4865649,165],[4865649,4868082,215],[4868082,4870517,172],[4870517,4872953,195],[4872953,4875390,171],[4875390,4877828,149],[4877828,4880267,149],[4880267,4882708,197],[4882708,4885150,171],[4885150,4887593,192],[4887593,4890037,174],[4890037,4892483,179],[4892483,4894930,201],[4894930,4897378,164],[4897378,4899827,157],[4899827,4902277,202],[4902277,4904729,143],[4904729,4907182,165],[4907182,4909636,150],[4909636,4912091,151],[4912091,4914548,156],[4914548,4917006,148],[4917006,4919465,122],[4919465,4921925,175],[4921925,4924386,166],[4924386,4926849,165],[4926849,4929313,153],[4929313,4931778,140],[4931778,4934244,158],[4934244,4936712,171],[4936712,4939181,157],[4939181,4941651,119],[4941651,4944122,181],[4944122,4946595,199],[4946595,4949069,154],[4949069,4951544,183],[4951544,4954020,162],[4954020,4956498,159],[4956498,4958977,154],[4958977,4961457,162],[4961457,4963938,158],[4963938,4966420,162],[4966420,4968904,146],[4968904,4971389,121],[4971389,4973875,152],[4973875,4976362,154],[4976362,4978851,170],[4978851,4981341,164],[4981341,4983832,181],[4983832,4986324,150],[4986324,4988818,167],[4988818,4991313,190],[4991313,4993809,182],[4993809,4996306,196],[4996306,4998805,120],[4998805,5001305,147],[5001305,5003806,178],[5003806,5006308,133],[5006308,5008812,180],[5008812,5011317,138],[5011317,5013823,152],[5013823,5016330,168],[5016330,5018839,171],[5018839,5021349,177],[5021349,5023860,182],[5023860,5026372,208],[5026372,5028886,151],[5028886,5031401,138],[5031401,5033917,183],[5033917,5036434,141],[5036434,5038953,165],[5038953,5041473,181],[5041473,5043994,177],[5043994,5046516,140],[5046516,5049040,154],[5049040,5051565,146],[5051565,5054091,161],[5054091,5056619,191],[5056619,5059148,195],[5059148,5061678,158],[5061678,5064209,198],[5064209,5066742,183],[5066742,5069276,143],[5069276,5071811,183],[5071811,5074347,173],[5074347,5076885,169],[5076885,5079424,168],[5079424,5081964,142],[5081964,5084505,182],[5084505,5087048,180],[5087048,5089592,133],[5089592,5092137,175],[5092137,5094684,153],[5094684,5097232,194],[5097232,5099781,114],[5099781,5102331,182],[5102331,5104883,171],[5104883,5107436,144],[5107436,5109990,159],[5109990,5112545,169],[5112545,5115102,137],[5115102,5117660,185],[5117660,5120219,141],[5120219,5122780,165],[5122780,5125342,185],[5125342,5127905,138],[5127905,5130469,164],[5130469,5133035,174],[5133035,5135602,194],[5135602,5138170,191],[5138170,5140740,204],[5140740,5143311,166],[5143311,5145883,197],[5145883,5148456,167],[5148456,5151031,180],[5151031,5153607,152],[5153607,5156184,156],[5156184,5158763,212],[5158763,5161343,169],[5161343,5163924,140],[5163924,5166506,115],[5166506,5169090,158],[5169090,5171675,201],[5171675,5174261,138],[5174261,5176849,171],[5176849,5179438,157],[5179438,5182028,168],[5182028,5184620,178],[5184620,5187213,172],[5187213,5189807,137],[5189807,5192402,156],[5192402,5194999,176],[5194999,5197597,168],[5197597,5200196,198],[5200196,5202797,180],[5202797,5205399,135],[5205399,5208002,178],[5208002,5210607,136],[5210607,5213213,147],[5213213,5215820,178],[5215820,5218428,150],[5218428,5221038,192],[5221038,5223649,128],[5223649,5226261,167],[5226261,5228875,198],[5228875,5231490,180],[5231490,5234106,154],[5234106,5236724,123],[5236724,5239343,174],[5239343,5241963,154],[5241963,5244584,204],[5244584,5247207,195],[5247207,5249831,193],[5249831,5252456,164],[5252456,5255083,124],[5255083,5257711,168],[5257711,5260340,198],[5260340,5262971,169],[5262971,5265603,198],[5265603,5268236,157],[5268236,5270871,177],[5270871,5273507,192],[5273507,5276144,163],[5276144,5278783,164],[5278783,5281423,130],[5281423,5284064,161],[5284064,5286707,156],[5286707,5289351,184],[5289351,5291996,182],[5291996,5294642,127],[5294642,5297290,178],[5297290,5299939,159],[5299939,5302589,158],[5302589,5305241,166],[5305241,5307894,167],[5307894,5310548,182],[5310548,5313204,145],[5313204,5315861,189],[5315861,5318519,147],[5318519,5321179,151],[5321179,5323840,170],[5323840,5326502,217],[5326502,5329166,190],[5329166,5331831,180],[5331831,5334497,169],[5334497,5337165,173],[5337165,5339834,179],[5339834,5342504,169],[5342504,5345176,166],[5345176,5347849,189],[5347849,5350523,112],[5350523,5353199,172],[5353199,5355876,179],[5355876,5358554,164],[5358554,5361234,190],[5361234,5363915,160],[5363915,5366597,184],[5366597,5369281,198],[5369281,5371966,149],[5371966,5374652,174],[5374652,5377340,194],[5377340,5380029,164],[5380029,5382720,191],[5382720,5385412,168],[5385412,5388105,175],[5388105,5390800,201],[5390800,5393496,167],[5393496,5396193,205],[5396193,5398892,143],[5398892,5401592,165],[5401592,5404293,180],[5404293,5406996,168],[5406996,5409700,190],[5409700,5412405,200],[5412405,5415112,160],[5415112,5417820,164],[5417820,5420529,162],[5420529,5423240,175],[5423240,5425952,184],[5425952,5428665,170],[5428665,5431380,176],[5431380,5434096,199],[5434096,5436814,201],[5436814,5439533,183],[5439533,5442253,140],[5442253,5444975,168],[5444975,5447698,126],[5447698,5450422,183],[5450422,5453148,161],[5453148,5455875,162],[5455875,5458603,175],[5458603,5461333,142],[5461333,5464064,171],[5464064,5466797,130],[5466797,5469531,173],[5469531,5472266,171],[5472266,5475003,187],[5475003,5477741,164],[5477741,5480480,179],[5480480,5483221,185],[5483221,5485963,165],[5485963,5488706,144],[5488706,5491451,177],[5491451,5494197,171],[5494197,5496945,193],[5496945,5499694,179],[5499694,5502444,184],[5502444,5505196,157],[5505196,5507949,177],[5507949,5510703,173],[5510703,5513459,157],[5513459,5516216,161],[5516216,5518975,160],[5518975,5521735,148],[5521735,5524496,170],[5524496,5527259,147],[5527259,5530023,187],[5530023,5532789,173],[5532789,5535556,151],[5535556,5538324,183],[5538324,5541094,186],[5541094,5543865,184],[5543865,5546637,172],[5546637,5549411,179],[5549411,5552186,207],[5552186,5554963,199],[5554963,5557741,196],[5557741,5560520,179],[5560520,5563301,170],[5563301,5566083,159],[5566083,5568867,231],[5568867,5571652,194],[5571652,5574438,154],[5574438,5577226,164],[5577226,5580015,171],[5580015,5582806,194],[5582806,5585598,217],[5585598,5588391,172],[5588391,5591186,187],[5591186,5593982,170],[5593982,5596779,172],[5596779,5599578,171],[5599578,5602378,198],[5602378,5605180,165],[5605180,5607983,204],[5607983,5610787,200],[5610787,5613593,164],[5613593,5616400,168],[5616400,5619209,198],[5619209,5622019,172],[5622019,5624831,186],[5624831,5627644,202],[5627644,5630458,198],[5630458,5633274,175],[5633274,5636091,182],[5636091,5638910,141],[5638910,5641730,173],[5641730,5644551,180],[5644551,5647374,155],[5647374,5650198,196],[5650198,5653024,180],[5653024,5655851,164],[5655851,5658679,195],[5658679,5661509,164],[5661509,5664340,217],[5664340,5667173,194],[5667173,5670007,190],[5670007,5672843,174],[5672843,5675680,185],[5675680,5678518,194],[5678518,5681358,169],[5681358,5684199,205],[5684199,5687042,166],[5687042,5689886,169],[5689886,5692731,175],[5692731,5695578,176],[5695578,5698426,164],[5698426,5701276,196],[5701276,5704127,190],[5704127,5706980,191],[5706980,5709834,165],[5709834,5712689,148],[5712689,5715546,226],[5715546,5718404,189],[5718404,5721264,159],[5721264,5724125,180],[5724125,5726988,156],[5726988,5729852,172],[5729852,5732717,191],[5732717,5735584,130],[5735584,5738452,221],[5738452,5741322,179],[5741322,5744193,176],[5744193,5747066,166],[5747066,5749940,186],[5749940,5752815,178],[5752815,5755692,211],[5755692,5758570,189],[5758570,5761450,191],[5761450,5764331,175],[5764331,5767214,171],[5767214,5770098,155],[5770098,5772984,198],[5772984,5775871,152],[5775871,5778759,176],[5778759,5781649,177],[5781649,5784540,202],[5784540,5787433,169],[5787433,5790327,194],[5790327,5793223,192],[5793223,5796120,185],[5796120,5799019,194],[5799019,5801919,185],[5801919,5804820,225],[5804820,5807723,172],[5807723,5810627,238],[5810627,5813533,164],[5813533,5816440,196],[5816440,5819349,188],[5819349,5822259,200],[5822259,5825171,184],[5825171,5828084,179],[5828084,5830999,170],[5830999,5833915,176],[5833915,5836832,190],[5836832,5839751,150],[5839751,5842671,170],[5842671,5845593,179],[5845593,5848516,240],[5848516,5851441,174],[5851441,5854367,224],[5854367,5857295,182],[5857295,5860224,195],[5860224,5863155,170],[5863155,5866087,161],[5866087,5869021,157],[5869021,5871956,154],[5871956,5874892,201],[5874892,5877830,180],[5877830,5880769,187],[5880769,5883710,256],[5883710,5886652,179],[5886652,5889596,207],[5889596,5892541,208],[5892541,5895488,189],[5895488,5898436,175],[5898436,5901386,184],[5901386,5904337,202],[5904337,5907290,188],[5907290,5910244,224],[5910244,5913200,198],[5913200,5916157,199],[5916157,5919116,169],[5919116,5922076,170],[5922076,5925038,222],[5925038,5928001,207],[5928001,5930966,212],[5930966,5933932,221],[5933932,5936899,177],[5936899,5939868,194],[5939868,5942838,175],[5942838,5945810,191],[5945810,5948783,195],[5948783,5951758,180],[5951758,5954734,207],[5954734,5957712,174],[5957712,5960691,178],[5960691,5963672,187],[5963672,5966654,188],[5966654,5969638,176],[5969638,5972623,175],[5972623,5975610,174],[5975610,5978598,201],[5978598,5981588,137],[5981588,5984579,174],[5984579,5987572,178],[5987572,5990566,202],[5990566,5993562,182],[5993562,5996559,187],[5996559,5999558,182],[5999558,6002558,209],[6002558,6005560,193],[6005560,6008563,177],[6008563,6011568,198],[6011568,6014574,158],[6014574,6017582,186],[6017582,6020591,182],[6020591,6023602,199],[6023602,6026614,223],[6026614,6029628,176],[6029628,6032643,175],[6032643,6035660,158],[6035660,6038678,214],[6038678,6041698,197],[6041698,6044719,236],[6044719,6047742,199],[6047742,6050766,183],[6050766,6053792,238],[6053792,6056819,195],[6056819,6059848,202],[6059848,6062878,197],[6062878,6065910,194],[6065910,6068943,167],[6068943,6071978,187],[6071978,6075014,204],[6075014,6078052,178],[6078052,6081092,184],[6081092,6084133,182],[6084133,6087176,164],[6087176,6090220,177],[6090220,6093266,211],[6093266,6096313,214],[6096313,6099362,187],[6099362,6102412,215],[6102412,6105464,165],[6105464,6108517,167],[6108517,6111572,199],[6111572,6114628,164],[6114628,6117686,216],[6117686,6120745,157],[6120745,6123806,191],[6123806,6126868,221],[6126868,6129932,184],[6129932,6132997,168],[6132997,6136064,162],[6136064,6139133,152],[6139133,6142203,220],[6142203,6145275,215],[6145275,6148348,199],[6148348,6151423,182],[6151423,6154499,217],[6154499,6157577,180],[6157577,6160656,189],[6160656,6163737,188],[6163737,6166819,197],[6166819,6169903,231],[6169903,6172988,179],[6172988,6176075,181],[6176075,6179164,161],[6179164,6182254,188],[6182254,6185346,199],[6185346,6188439,154],[6188439,6191534,187],[6191534,6194630,195],[6194630,6197728,153],[6197728,6200827,202],[6200827,6203928,205],[6203928,6207030,191],[6207030,6210134,185],[6210134,6213240,210],[6213240,6216347,198],[6216347,6219456,203],[6219456,6222566,214],[6222566,6225678,196],[6225678,6228791,175],[6228791,6231906,215],[6231906,6235022,218],[6235022,6238140,175],[6238140,6241260,205],[6241260,6244381,168],[6244381,6247504,195],[6247504,6250628,176],[6250628,6253754,221],[6253754,6256881,211],[6256881,6260010,229],[6260010,6263141,233],[6263141,6266273,258],[6266273,6269407,173],[6269407,6272542,209],[6272542,6275679,233],[6275679,6278817,195],[6278817,6281957,198],[6281957,6285098,193],[6285098,6288241,193],[6288241,6291386,209],[6291386,6294532,171],[6294532,6297680,199],[6297680,6300829,211],[6300829,6303980,213],[6303980,6307132,220],[6307132,6310286,211],[6310286,6313442,201],[6313442,6316599,186],[6316599,6319758,196],[6319758,6322918,209],[6322918,6326080,180],[6326080,6329244,208],[6329244,6332409,197],[6332409,6335576,185],[6335576,6338744,228],[6338744,6341914,171],[6341914,6345085,216],[6345085,6348258,223],[6348258,6351433,189],[6351433,6354609,194],[6354609,6357787,244],[6357787,6360966,217],[6360966,6364147,205],[6364147,6367330,251],[6367330,6370514,216],[6370514,6373700,193],[6373700,6376887,215],[6376887,6380076,179],[6380076,6383267,169],[6383267,6386459,191],[6386459,6389653,158],[6389653,6392848,211],[6392848,6396045,180],[6396045,6399244,164],[6399244,6402444,207],[6402444,6405646,179],[6405646,6408849,182],[6408849,6412054,245],[6412054,6415261,197],[6415261,6418469,254],[6418469,6421679,185],[6421679,6424890,229],[6424890,6428103,230],[6428103,6431318,194],[6431318,6434534,190],[6434534,6437752,225],[6437752,6440971,211],[6440971,6444192,226],[6444192,6447415,183],[6447415,6450639,210],[6450639,6453865,196],[6453865,6457092,265],[6457092,6460321,198],[6460321,6463552,229],[6463552,6466784,212],[6466784,6470018,248],[6470018,6473254,191],[6473254,6476491,185],[6476491,6479730,199],[6479730,6482970,230],[6482970,6486212,228],[6486212,6489456,215],[6489456,6492701,215],[6492701,6495948,179],[6495948,6499196,183],[6499196,6502446,196],[6502446,6505698,228],[6505698,6508951,221],[6508951,6512206,229],[6512206,6515463,229],[6515463,6518721,212],[6518721,6521981,233],[6521981,6525242,191],[6525242,6528505,204],[6528505,6531770,265],[6531770,6535036,184],[6535036,6538304,224],[6538304,6541574,239],[6541574,6544845,200],[6544845,6548118,227],[6548118,6551393,173],[6551393,6554669,217],[6554669,6557947,215],[6557947,6561226,212],[6561226,6564507,188],[6564507,6567790,210],[6567790,6571074,240],[6571074,6574360,216],[6574360,6577648,188],[6577648,6580937,249],[6580937,6584228,265],[6584228,6587521,215],[6587521,6590815,204],[6590815,6594111,201],[6594111,6597409,201],[6597409,6600708,235],[6600708,6604009,213],[6604009,6607312,255],[6607312,6610616,224],[6610616,6613922,235],[6613922,6617229,227],[6617229,6620538,234],[6620538,6623849,190],[6623849,6627161,222],[6627161,6630475,205],[6630475,6633791,215],[6633791,6637108,226],[6637108,6640427,246],[6640427,6643748,201],[6643748,6647070,184],[6647070,6650394,209],[6650394,6653720,217],[6653720,6657047,232],[6657047,6660376,222],[6660376,6663707,236],[6663707,6667039,228],[6667039,6670373,215],[6670373,6673709,208],[6673709,6677046,176],[6677046,6680385,188],[6680385,6683726,192],[6683726,6687068,216],[6687068,6690412,216],[6690412,6693758,234],[6693758,6697105,185],[6697105,6700454,208],[6700454,6703805,183],[6703805,6707157,222],[6707157,6710511,225],[6710511,6713867,224],[6713867,6717224,203],[6717224,6720583,176],[6720583,6723944,275],[6723944,6727306,211],[6727306,6730670,229],[6730670,6734036,209],[6734036,6737404,225],[6737404,6740773,229],[6740773,6744144,190],[6744144,6747517,226],[6747517,6750891,222],[6750891,6754267,224],[6754267,6757645,241],[6757645,6761024,268],[6761024,6764405,225],[6764405,6767788,169],[6767788,6771172,202],[6771172,6774558,195],[6774558,6777946,217],[6777946,6781335,204],[6781335,6784726,196],[6784726,6788119,222],[6788119,6791514,162],[6791514,6794910,243],[6794910,6798308,239],[6798308,6801708,180],[6801708,6805109,190],[6805109,6808512,222],[6808512,6811917,234],[6811917,6815323,203],[6815323,6818731,202],[6818731,6822141,260],[6822141,6825553,176],[6825553,6828966,222],[6828966,6832381,218],[6832381,6835798,207],[6835798,6839216,223],[6839216,6842636,227],[6842636,6846058,249],[6846058,6849482,244],[6849482,6852907,237],[6852907,6856334,217],[6856334,6859763,193],[6859763,6863193,220],[6863193,6866625,220],[6866625,6870059,229],[6870059,6873495,193],[6873495,6876932,215],[6876932,6880371,221],[6880371,6883812,223],[6883812,6887254,218],[6887254,6890698,247],[6890698,6894144,191],[6894144,6897592,170],[6897592,6901041,211],[6901041,6904492,220],[6904492,6907945,222],[6907945,6911399,214],[6911399,6914855,234],[6914855,6918313,216],[6918313,6921773,236],[6921773,6925234,206],[6925234,6928697,213],[6928697,6932162,207],[6932162,6935629,251],[6935629,6939097,254],[6939097,6942567,201],[6942567,6946039,220],[6946039,6949513,211],[6949513,6952988,229],[6952988,6956465,239],[6956465,6959944,174],[6959944,6963424,241],[6963424,6966906,225],[6966906,6970390,246],[6970390,6973876,218],[6973876,6977363,204],[6977363,6980852,198],[6980852,6984343,192],[6984343,6987836,207],[6987836,6991330,242],[6991330,6994826,215],[6994826,6998324,271],[6998324,7001824,207],[7001824,7005325,170],[7005325,7008828,206],[7008828,7012333,193],[7012333,7015840,195],[7015840,7019348,248],[7019348,7022858,224],[7022858,7026370,222],[7026370,7029884,240],[7029884,7033399,244],[7033399,7036916,228],[7036916,7040435,218],[7040435,7043956,250],[7043956,7047478,232],[7047478,7051002,234],[7051002,7054528,214],[7054528,7058056,231],[7058056,7061586,251],[7061586,7065117,179],[7065117,7068650,201],[7068650,7072185,268],[7072185,7075722,233],[7075722,7079260,207],[7079260,7082800,204],[7082800,7086342,226],[7086342,7089886,224],[7089886,7093431,201],[7093431,7096978,255],[7096978,7100527,231],[7100527,7104078,235],[7104078,7107631,250],[7107631,7111185,238],[7111185,7114741,187],[7114741,7118299,224],[7118299,7121859,201],[7121859,7125420,187],[7125420,7128983,176],[7128983,7132548,195],[7132548,7136115,222],[7136115,7139684,182],[7139684,7143254,227],[7143254,7146826,210],[7146826,7150400,225],[7150400,7153976,214],[7153976,7157553,238],[7157553,7161132,239],[7161132,7164713,259],[7164713,7168296,245],[7168296,7171881,232],[7171881,7175467,186],[7175467,7179055,204],[7179055,7182645,218],[7182645,7186237,252],[7186237,7189831,209],[7189831,7193426,259],[7193426,7197023,230],[7197023,7200622,221],[7200622,7204223,232],[7204223,7207826,217],[7207826,7211430,234],[7211430,7215036,258],[7215036,7218644,199],[7218644,7222254,245],[7222254,7225866,252],[7225866,7229479,213],[7229479,7233094,208],[7233094,7236711,243],[7236711,7240330,271],[7240330,7243951,254],[7243951,7247573,222],[7247573,7251197,230],[7251197,7254823,254],[7254823,7258451,233],[7258451,7262081,245],[7262081,7265713,230],[7265713,7269346,218],[7269346,7272981,199],[7272981,7276618,252],[7276618,7280257,254],[7280257,7283898,230],[7283898,7287540,233],[7287540,7291184,280],[7291184,7294830,194],[7294830,7298478,192],[7298478,7302128,187],[7302128,7305780,234],[7305780,7309433,245],[7309433,7313088,198],[7313088,7316745,281],[7316745,7320404,232],[7320404,7324065,242],[7324065,7327728,237],[7327728,7331392,243],[7331392,7335058,236],[7335058,7338726,230],[7338726,7342396,205],[7342396,7346068,193],[7346068,7349742,294],[7349742,7353417,235],[7353417,7357094,223],[7357094,7360773,206],[7360773,7364454,229],[7364454,7368137,248],[7368137,7371822,222],[7371822,7375508,288],[7375508,7379196,214],[7379196,7382886,252],[7382886,7386578,238],[7386578,7390272,208],[7390272,7393968,249],[7393968,7397665,198],[7397665,7401364,246],[7401364,7405065,206],[7405065,7408768,226],[7408768,7412473,209],[7412473,7416180,237],[7416180,7419889,221],[7419889,7423599,224],[7423599,7427311,251],[7427311,7431025,237],[7431025,7434741,250],[7434741,7438459,208],[7438459,7442179,278],[7442179,7445901,240],[7445901,7449624,236],[7449624,7453349,235],[7453349,7457076,231],[7457076,7460805,219],[7460805,7464536,260],[7464536,7468269,214],[7468269,7472004,265],[7472004,7475741,280],[7475741,7479479,276],[7479479,7483219,237],[7483219,7486961,199],[7486961,7490705,249],[7490705,7494451,213],[7494451,7498199,256],[7498199,7501949,225],[7501949,7505700,293],[7505700,7509453,245],[7509453,7513208,207],[7513208,7516965,257],[7516965,7520724,224],[7520724,7524485,203],[7524485,7528248,232],[7528248,7532013,232],[7532013,7535780,231],[7535780,7539548,218],[7539548,7543318,249],[7543318,7547090,278],[7547090,7550864,252],[7550864,7554640,228],[7554640,7558418,254],[7558418,7562198,200],[7562198,7565980,215],[7565980,7569763,244],[7569763,7573548,238],[7573548,7577335,194],[7577335,7581124,231],[7581124,7584915,238],[7584915,7588708,289],[7588708,7592503,235],[7592503,7596300,223],[7596300,7600099,225],[7600099,7603900,221],[7603900,7607702,302],[7607702,7611506,215],[7611506,7615312,205],[7615312,7619120,228],[7619120,7622930,199],[7622930,7626742,293],[7626742,7630556,264],[7630556,7634372,243],[7634372,7638190,246],[7638190,7642010,265],[7642010,7645832,241],[7645832,7649655,273],[7649655,7653480,219],[7653480,7657307,225],[7657307,7661136,240],[7661136,7664967,192],[7664967,7668800,254],[7668800,7672635,232],[7672635,7676472,290],[7676472,7680311,240],[7680311,7684152,268],[7684152,7687995,262],[7687995,7691839,217],[7691839,7695685,251],[7695685,7699533,255],[7699533,7703383,238],[7703383,7707235,189],[7707235,7711089,244],[7711089,7714945,249],[7714945,7718803,225],[7718803,7722663,274],[7722663,7726525,219],[7726525,7730389,271],[7730389,7734255,237],[7734255,7738123,252],[7738123,7741993,221],[7741993,7745864,259],[7745864,7749737,210],[7749737,7753612,225],[7753612,7757489,229],[7757489,7761368,216],[7761368,7765249,253],[7765249,7769132,231],[7769132,7773017,265],[7773017,7776904,263],[7776904,7780793,262],[7780793,7784684,228],[7784684,7788577,240],[7788577,7792472,254],[7792472,7796369,232],[7796369,7800268,239],[7800268,7804169,238],[7804169,7808072,265],[7808072,7811977,211],[7811977,7815883,273],[7815883,7819791,248],[7819791,7823701,250],[7823701,7827613,237],[7827613,7831527,249],[7831527,7835443,244],[7835443,7839361,257],[7839361,7843281,221],[7843281,7847203,291],[7847203,7851127,276],[7851127,7855053,247],[7855053,7858981,227],[7858981,7862911,237],[7862911,7866843,238],[7866843,7870777,266],[7870777,7874713,256],[7874713,7878651,297],[7878651,7882591,256],[7882591,7886533,238],[7886533,7890477,268],[7890477,7894423,251],[7894423,7898371,251],[7898371,7902321,250],[7902321,7906273,215],[7906273,7910227,264],[7910227,7914183,215],[7914183,7918141,227],[7918141,7922101,207],[7922101,7926063,254],[7926063,7930027,263],[7930027,7933993,223],[7933993,7937960,220],[7937960,7941929,280],[7941929,7945900,292],[7945900,7949873,239],[7949873,7953848,238],[7953848,7957825,229],[7957825,7961804,232],[7961804,7965785,285],[7965785,7969768,219],[7969768,7973753,261],[7973753,7977740,277],[7977740,7981729,252],[7981729,7985720,297],[7985720,7989713,256],[7989713,7993708,238],[7993708,7997705,256],[7997705,8001704,217],[8001704,8005705,235],[8005705,8009708,277],[8009708,8013713,262],[8013713,8017720,274],[8017720,8021729,249],[8021729,8025740,232],[8025740,8029753,276],[8029753,8033768,203],[8033768,8037785,258],[8037785,8041804,294],[8041804,8045825,232],[8045825,8049848,276],[8049848,8053873,234],[8053873,8057900,284],[8057900,8061929,265],[8061929,8065960,224],[8065960,8069993,274],[8069993,8074028,248],[8074028,8078066,225],[8078066,8082106,259],[8082106,8086148,240],[8086148,8090192,243],[8090192,8094238,236],[8094238,8098286,243],[8098286,8102336,229],[8102336,8106388,268],[8106388,8110442,279],[8110442,8114498,252],[8114498,8118556,248],[8118556,8122616,298],[8122616,8126678,260],[8126678,8130742,213],[8130742,8134808,230],[8134808,8138876,300],[8138876,8142946,230],[8142946,8147018,251],[8147018,8151092,284],[8151092,8155168,213],[8155168,8159246,253],[8159246,8163326,234],[8163326,8167408,245],[8167408,8171492,242],[8171492,8175578,215],[8175578,8179666,262],[8179666,8183756,296],[8183756,8187848,267],[8187848,8191942,268],[8191942,8196038,228],[8196038,8200137,213],[8200137,8204238,260],[8204238,8208341,256],[8208341,8212446,250],[8212446,8216553,275],[8216553,8220662,246],[8220662,8224773,264],[8224773,8228886,228],[8228886,8233001,235],[8233001,8237118,274],[8237118,8241237,299],[8241237,8245358,277],[8245358,8249481,229],[8249481,8253606,241],[8253606,8257733,245],[8257733,8261862,258],[8261862,8265993,236],[8265993,8270126,296],[8270126,8274262,227],[8274262,8278400,273],[8278400,8282540,252],[8282540,8286682,263],[8286682,8290826,230],[8290826,8294972,247],[8294972,8299120,240],[8299120,8303270,265],[8303270,8307422,279],[8307422,8311576,252],[8311576,8315732,289],[8315732,8319890,242],[8319890,8324050,294],[8324050,8328213,249],[8328213,8332378,252],[8332378,8336545,255],[8336545,8340714,254],[8340714,8344885,250],[8344885,8349058,265],[8349058,8353233,259],[8353233,8357410,234],[8357410,8361589,228],[8361589,8365770,269],[8365770,8369953,268],[8369953,8374138,247],[8374138,8378326,305],[8378326,8382516,280],[8382516,8386708,246],[8386708,8390902,257],[8390902,8395098,269],[8395098,8399296,226],[8399296,8403496,255],[8403496,8407698,257],[8407698,8411902,258],[8411902,8416108,287],[8416108,8420317,208],[8420317,8424528,283],[8424528,8428741,251],[8428741,8432956,254],[8432956,8437173,232],[8437173,8441392,257],[8441392,8445613,250],[8445613,8449836,282],[8449836,8454061,240],[8454061,8458289,339],[8458289,8462519,258],[8462519,8466751,250],[8466751,8470985,271],[8470985,8475221,236],[8475221,8479459,246],[8479459,8483699,249],[8483699,8487941,317],[8487941,8492185,244],[8492185,8496432,301],[8496432,8500681,261],[8500681,8504932,290],[8504932,8509185,225],[8509185,8513440,264],[8513440,8517697,314],[8517697,8521956,231],[8521956,8526217,260],[8526217,8530481,253],[8530481,8534747,265],[8534747,8539015,238],[8539015,8543285,276],[8543285,8547557,308],[8547557,8551831,260],[8551831,8556107,296],[8556107,8560386,251],[8560386,8564667,255],[8564667,8568950,278],[8568950,8573235,270],[8573235,8577522,252],[8577522,8581811,235],[8581811,8586102,273],[8586102,8590396,278],[8590396,8594692,287],[8594692,8598990,272],[8598990,8603290,243],[8603290,8607592,284],[8607592,8611896,257],[8611896,8616202,251],[8616202,8620511,226],[8620511,8624822,313],[8624822,8629135,305],[8629135,8633450,257],[8633450,8637767,264],[8637767,8642086,265],[8642086,8646408,238],[8646408,8650732,241],[8650732,8655058,290],[8655058,8659386,287],[8659386,8663716,283],[8663716,8668048,253],[8668048,8672383,278],[8672383,8676720,207],[8676720,8681059,255],[8681059,8685400,267],[8685400,8689743,255],[8689743,8694088,258],[8694088,8698436,240],[8698436,8702786,292],[8702786,8707138,350],[8707138,8711492,260],[8711492,8715848,290],[8715848,8720206,260],[8720206,8724567,277],[8724567,8728930,270],[8728930,8733295,262],[8733295,8737662,252],[8737662,8742031,260],[8742031,8746403,251],[8746403,8750777,280],[8750777,8755153,320],[8755153,8759531,297],[8759531,8763911,286],[8763911,8768293,266],[8768293,8772678,302],[8772678,8777065,310],[8777065,8781454,293],[8781454,8785845,290],[8785845,8790238,245],[8790238,8794634,315],[8794634,8799032,254],[8799032,8803432,296],[8803432,8807834,275],[8807834,8812238,258],[8812238,8816645,240],[8816645,8821054,308],[8821054,8825465,258],[8825465,8829878,289],[8829878,8834293,268],[8834293,8838711,223],[8838711,8843131,268],[8843131,8847553,308],[8847553,8851977,289],[8851977,8856403,235],[8856403,8860832,274],[8860832,8865263,295],[8865263,8869696,241],[8869696,8874131,281],[8874131,8878569,277],[8878569,8883009,261],[8883009,8887451,269],[8887451,8891895,287],[8891895,8896341,289],[8896341,8900790,300],[8900790,8905241,263],[8905241,8909694,331],[8909694,8914149,260],[8914149,8918607,273],[8918607,8923067,309],[8923067,8927529,286],[8927529,8931993,290],[8931993,8936459,297],[8936459,8940928,260],[8940928,8945399,265],[8945399,8949872,276],[8949872,8954347,284],[8954347,8958825,263],[8958825,8963305,286],[8963305,8967787,353],[8967787,8972271,273],[8972271,8976758,272],[8976758,8981247,265],[8981247,8985738,291],[8985738,8990231,278],[8990231,8994727,253],[8994727,8999225,290],[8999225,9003725,242],[9003725,9008227,248],[9008227,9012732,266],[9012732,9017239,309],[9017239,9021748,283],[9021748,9026259,240],[9026259,9030773,247],[9030773,9035289,323],[9035289,9039807,282],[9039807,9044327,266],[9044327,9048850,278],[9048850,9053375,289],[9053375,9057902,323],[9057902,9062431,281],[9062431,9066963,312],[9066963,9071497,305],[9071497,9076033,303],[9076033,9080572,224],[9080572,9085113,311],[9085113,9089656,281],[9089656,9094201,277],[9094201,9098749,272],[9098749,9103299,281],[9103299,9107851,312],[9107851,9112405,243],[9112405,9116962,252],[9116962,9121521,319],[9121521,9126082,274],[9126082,9130646,248],[9130646,9135212,342],[9135212,9139780,263],[9139780,9144350,287],[9144350,9148923,285],[9148923,9153498,270],[9153498,9158075,242],[9158075,9162655,287],[9162655,9167237,282],[9167237,9171821,253],[9171821,9176407,259],[9176407,9180996,277],[9180996,9185587,282],[9185587,9190180,291],[9190180,9194776,290],[9194776,9199374,329],[9199374,9203974,293],[9203974,9208576,281],[9208576,9213181,262],[9213181,9217788,282],[9217788,9222397,274],[9222397,9227009,331],[9227009,9231623,286],[9231623,9236239,324],[9236239,9240858,287],[9240858,9245479,285],[9245479,9250102,319],[9250102,9254728,298],[9254728,9259356,268],[9259356,9263986,290],[9263986,9268618,250],[9268618,9273253,295],[9273253,9277890,327],[9277890,9282529,333],[9282529,9287171,256],[9287171,9291815,300],[9291815,9296461,281],[9296461,9301110,282],[9301110,9305761,303],[9305761,9310414,289],[9310414,9315070,291],[9315070,9319728,232],[9319728,9324388,262],[9324388,9329051,270],[9329051,9333716,291],[9333716,9338383,285],[9338383,9343053,310],[9343053,9347725,322],[9347725,9352399,334],[9352399,9357076,325],[9357076,9361755,291],[9361755,9366436,257],[9366436,9371120,310],[9371120,9375806,344],[9375806,9380494,260],[9380494,9385185,303],[9385185,9389878,298],[9389878,9394573,280],[9394573,9399271,277],[9399271,9403971,257],[9403971,9408673,349],[9408673,9413378,279],[9413378,9418085,264],[9418085,9422795,288],[9422795,9427507,252],[9427507,9432221,231],[9432221,9436938,268],[9436938,9441657,319],[9441657,9446378,288],[9446378,9451102,282],[9451102,9455828,287],[9455828,9460556,303],[9460556,9465287,296],[9465287,9470020,290],[9470020,9474756,298],[9474756,9479494,250],[9479494,9484234,292],[9484234,9488977,303],[9488977,9493722,278],[9493722,9498469,283],[9498469,9503219,303],[9503219,9507971,294],[9507971,9512725,309],[9512725,9517482,306],[9517482,9522241,337],[9522241,9527003,297],[9527003,9531767,342],[9531767,9536533,321],[9536533,9541302,313],[9541302,9546073,294],[9546073,9550847,307],[9550847,9555623,362],[9555623,9560401,284],[9560401,9565182,259],[9565182,9569965,306],[9569965,9574750,280],[9574750,9579538,285],[9579538,9584328,353],[9584328,9589121,287],[9589121,9593916,295],[9593916,9598713,320],[9598713,9603513,297],[9603513,9608315,259],[9608315,9613120,292],[9613120,9617927,320],[9617927,9622736,339],[9622736,9627548,335],[9627548,9632362,269],[9632362,9637179,323],[9637179,9641998,347],[9641998,9646819,323],[9646819,9651643,302],[9651643,9656469,314],[9656469,9661298,325],[9661298,9666129,306],[9666129,9670963,331],[9670963,9675799,334],[9675799,9680637,331],[9680637,9685478,297],[9685478,9690321,290],[9690321,9695167,304],[9695167,9700015,285],[9700015,9704866,301],[9704866,9709719,275],[9709719,9714574,288],[9714574,9719432,258],[9719432,9724292,314],[9724292,9729155,310],[9729155,9734020,277],[9734020,9738888,312],[9738888,9743758,280],[9743758,9748630,292],[9748630,9753505,334],[9753505,9758382,260],[9758382,9763262,300],[9763262,9768144,296],[9768144,9773029,283],[9773029,9777916,347],[9777916,9782805,287],[9782805,9787697,307],[9787697,9792591,328],[9792591,9797488,322],[9797488,9802387,283],[9802387,9807289,293],[9807289,9812193,314],[9812193,9817100,294],[9817100,9822009,351],[9822009,9826921,230],[9826921,9831835,314],[9831835,9836751,241],[9836751,9841670,307],[9841670,9846591,294],[9846591,9851515,353],[9851515,9856441,261],[9856441,9861370,328],[9861370,9866301,302],[9866301,9871235,277],[9871235,9876171,342],[9876171,9881110,278],[9881110,9886051,306],[9886051,9890995,291],[9890995,9895941,333],[9895941,9900889,288],[9900889,9905840,320],[9905840,9910793,348],[9910793,9915749,310],[9915749,9920707,318],[9920707,9925668,294],[9925668,9930631,301],[9930631,9935597,313],[9935597,9940565,284],[9940565,9945536,297],[9945536,9950509,283],[9950509,9955485,330],[9955485,9960463,300],[9960463,9965444,301],[9965444,9970427,359],[9970427,9975413,311],[9975413,9980401,307],[9980401,9985392,288],[9985392,9990385,296],[9990385,9995381,290],[9995381,10000001,291]],\"unknown_higher_residue_degree_norms\":[[10004569,3],[10118761,1],[10182481,1],[10374841,1],[10621081,4],[10699441,1],[10896601,3],[10936249,1],[11015761,1],[11042329,1],[11082241,3],[11095561,1],[11377129,3],[11607649,4],[11785489,1],[11950849,3],[11978521,1],[12008989,1],[12020089,1],[12033961,1],[12117361,6],[12187081,3],[12243001,1],[12327121,4],[12369289,3],[12482089,3],[12538681,1],[12649337,4],[12652249,3],[13053769,1],[13082689,1],[13227769,3],[13271449,3],[13388281,4],[13476241,1],[13490929,3],[13520329,1],[13623481,3],[13667809,3],[13697401,3],[13756681,1],[13980121,1],[14205361,1],[14280841,1],[14600041,1],[14691889,3],[14922769,3],[15031129,3],[15062161,3],[15342889,1],[15389929,3],[15437041,3],[15578809,4],[15737089,4],[15912121,1],[16056049,1],[16394401,3],[16459249,1],[16589329,1],[16752649,1],[16900321,3],[16974593,1],[17032129,3],[17247409,4],[17297281,4],[17447329,1],[17732521,1],[17986081,3],[18088009,3],[18139081,3],[18344089,3],[18464209,1],[18826921,3],[18983449,3],[19035769,3],[19280881,1],[19465109,1],[19545241,1],[19722481,3],[19811401,3],[19902511,4],[19918369,1],[20421361,1],[20457529,3],[20857489,1],[21003889,3],[21132409,1],[21253933,1],[21353641,4],[21557449,3],[21613201,1],[21836929,1],[22005481,1],[22118209,1],[22287841,1],[22648081,1],[22877089,3],[22934521,4],[22972849,4],[23049601,3],[23203489,3],[23338561,3],[23629321,1],[23785129,3],[24137569,4],[24196561,1],[24314761,1],[24512401,3],[24671089,1],[24690961,3],[24730729,1],[24990001,4],[25230529,3],[25391521,3],[25512601,3],[25593481,1],[25775929,1],[25816561,12],[25877569,12],[26081449,1],[26142769,3],[26553409,1],[26697889,1],[26822041,1],[26925721,3],[27133681,1],[27363361,4],[27804529,1],[27888961,1],[28121809,4],[28440889,1],[28590409,3],[28629151,5],[28934443,1],[29019769,3],[29084449,3],[29149201,3],[29235649,3],[29365561,12],[29604481,12],[29626249,4],[29691601,12],[29997529,3],[30019441,12],[31058329,1],[31147561,1],[31798321,3],[31888609,3],[31956409,3],[32296489,1],[32364721,1],[32410249,1],[32913169,4],[32959081,3],[32982049,3],[33396841,1],[33443089,1],[33535681,1],[34093921,1],[34210801,3],[34234201,3],[34351321,3],[34586161,1],[35081929,1],[35129329,3],[35438209,1],[36264691,1],[36445369,3],[36517849,3],[36566209,4],[36808489,3],[37075921,3],[37100281,1],[37222201,1],[37736449,3],[37834801,1],[38105929,1],[38477209,12],[38651089,4],[38700841,3],[39025009,1],[39325441,4],[39526369,1],[39702601,12],[39828721,3],[39980329,1],[40233649,4],[40691641,3],[40819321,3],[41589601,1],[41847961,1],[41899729,1],[42863209,1],[42915601,3],[43546801,3],[43986977,4],[44049769,4],[44368921,1],[44769481,1],[44903401,1],[45387169,1],[46280809,3],[46689889,3],[46799281,1],[47183161,1],[47210641,1],[47375689,3],[47761921,1],[48288601,12],[48539089,4],[48874081,3],[49182169,1],[49603849,1],[49801249,12],[50452609,1],[50794129,1],[50822641,1],[51136801,1],[51251281,3],[51652969,3],[51895117,1],[51940849,3],[52027369,1],[52374169,3],[52519009,3],[53042089,1],[53392249,1],[53597041,3],[53743561,3],[54302161,3],[55011889,3],[55249489,1],[55905529,1],[55965361,3],[56181887,4],[56235001,3],[56595529,1],[56685841,12],[56987401,1],[57138481,1],[57350329,1],[57410929,1],[57501889,1],[57623281,1],[57805609,4],[58354321,1],[58415449,3],[58507201,1],[58813561,10],[58863869,1],[58997761,3],[59151481,1],[59336209,3],[59552089,12],[59644729,1],[60171049,1],[61199329,1],[61293241,3],[61481281,3],[61889689,1],[61984129,1],[62047129,4],[62078641,4],[62141689,3],[62425801,1],[62570773,1],[62932489,3],[63888049,1],[64144081,3],[64625521,1],[64850809,3],[64947481,4],[65108761,3],[65399569,3],[65626201,1],[65788321,1],[65885689,1],[66373609,3],[66601921,3],[66699889,3],[66896041,1],[67551961,1],[67749361,1],[67782289,1],[68277169,3],[68376361,3],[68773849,1],[69343957,5],[69372241,3],[69772609,12],[69939769,1],[70174129,1],[70375321,1],[70879561,1],[71048041,1],[71284249,1],[71351809,1],[72267001,1],[72607441,1],[72880369,3],[73324969,3],[73496329,1],[74114881,1],[74770609,3],[75047569,12],[75568249,1],[75811849,1],[76405081,3],[76510009,1],[76615009,1],[76755121,1],[77774761,1],[77810041,1],[78092569,3],[78517321,1],[78623689,1],[78978769,3],[79085449,1],[79798489,3],[79941481,3],[80335369,3],[80442961,3],[80478841,1],[81018001,12],[81126049,3],[81198121,1],[81234169,3],[81522841,1],[81739681,3],[81775849,1],[82210489,1],[82646281,1],[82973881,3],[83850649,1],[84290761,3],[84604519,1],[84621601,12],[85026841,1],[85692049,1],[86174089,12],[86843761,1],[87254281,4],[87291649,3],[87403801,1],[87928129,1],[88190881,1],[88303609,1],[88416409,4],[88755241,12],[89548369,3],[89851441,1],[90079081,3],[90649441,1],[91145209,4],[91221601,1],[92409769,1],[92525161,4],[92602129,1],[92756161,1],[93103201,4],[93334921,4],[94458961,12],[94731289,3],[95043001,1],[95394289,1],[95433361,1],[95443993,2],[95667961,1],[95863681,1],[96098809,1],[96609241,1],[96805921,1],[97042201,1],[97199881,1],[97972181,1],[98148649,1],[98982601,1],[99252847,1],[99460729,1],[100140049,3],[101344489,4],[101828281,12],[101868649,3],[101989801,1],[102232321,3],[102799321,1],[103042801,4],[103205281,4],[104509729,1],[105001009,1],[105247081,3],[105411289,1],[105534529,1],[106110601,1],[106357969,1],[106523041,3],[107267449,1],[108139201,1],[108764041,1],[110859841,3],[112126921,3],[112296409,3],[112381201,1],[112508449,1],[112635769,3],[112933129,1],[113018161,1],[113188321,1],[114211969,1],[114297481,3],[115111441,4],[115856201,5],[116402521,3],[117440569,3],[117657409,3],[118091689,1],[118370771,1],[119661721,3],[119880601,1],[120538441,4],[120714169,3],[121594729,1],[122036209,1],[122257249,1],[122301481,3],[122832889,1],[123632161,1],[125731369,1],[126315121,1],[127667401,3],[127938721,1],[128074489,1],[128346241,3],[129937201,3],[130210921,1],[131492089,3],[131997121,3],[132043081,1],[133379401,1],[133425601,3],[134490409,1],[134954689,3],[135885649,1],[136352329,3],[136445761,3],[136913401,3],[137288089,3],[137334961,1],[138697729,1],[138744841,1],[139546969,1],[140161921,1],[140825689,1],[141158161,2],[141300769,1],[141824281,1],[142587481,1],[143256961,1],[143304841,3],[143544361,1],[144168049,3],[144889369,3],[145178401,4],[145757329,1],[146337409,1],[146579449,4],[146724769,1],[146870161,1],[147452449,1],[147792649,3],[148766809,1],[149842081,3],[150136009,3],[150381169,12],[150528361,1],[150724729,1],[150822961,3],[151856329,4],[152349649,3],[153091129,3],[153190129,1],[153239641,4],[153983281,3],[154082569,1],[154281241,3],[154579489,3],[155027401,4],[155575729,3],[155725441,1],[155925169,1],[156025081,1],[156325009,1],[156675289,1],[157577809,3],[157979761,1],[158482921,3],[159794881,3],[159946609,3],[160098409,4],[160554241,1],[161010721,3],[161213809,3],[162282121,1],[162384049,3],[162894169,1],[163047361,2],[163353961,1],[164378041,1],[164583241,1],[164891281,3],[166693921,1],[167003929,1],[167935681,1],[168143089,3],[169026001,1],[169234081,1],[169859089,3],[169963369,4],[170119849,1],[170641969,4],[171426649,1],[171845881,1],[172160641,1],[172843609,1],[173633329,1],[173791489,3],[174741961,1],[175536001,1],[176650681,1],[176810209,3],[177129481,3],[177235969,1],[177928921,3],[178453547,2],[178676689,1],[179051161,1],[179479609,1],[179854921,1],[180660481,1],[181413961,3],[182223001,3],[183683809,1],[184063489,4],[184334929,1],[185477161,4],[185695129,1],[186841561,3],[187169761,4],[187333969,4],[187443481,3],[187498249,1],[187991521,1],[188265841,1],[188320729,3],[188485441,1],[189420169,3],[190136521,4],[192571129,1],[193404649,1],[194072761,3],[194128489,1],[194965369,3],[195077089,1],[195972001,3],[196308121,3],[196812841,3],[197430601,1],[197993041,1],[198330889,3],[198443569,1],[199007449,1],[200194201,3],[200307409,1],[200873929,1],[200987329,3],[201838849,1],[202236841,3],[202863049,4],[203034001,4],[204289849,3],[205091041,1],[205262929,1],[205836409,3],[207043321,1],[207907561,1],[208022929,1],[208253761,1],[208527857,1],[208715809,4],[209641441,1],[210337009,3],[210801361,12],[212022721,1],[213773641,1],[213949129,3],[214124689,1],[214300321,12],[216060601,1],[216472369,3],[216590089,3],[216766729,3],[217002361,1],[217081801,1],[217179169,6],[217474009,1],[218418841,1],[218537089,1],[218951209,1],[219662041,4],[220552201,12],[221027689,1],[221087161,3],[221384641,1],[221622769,1],[221741881,10],[221920609,3],[223532401,1],[223711849,1],[224070961,3],[225930961,3],[226833721,3],[227195329,4],[228221449,3],[229345007,3],[229492201,1],[229855921,1],[231009601,4],[231557089,4],[231861529,3],[232959169,3],[233203441,1],[235591801,3],[235960321,3],[237176659,2],[237190801,1],[237992329,1],[238362721,4],[238486249,3],[239042521,12],[239228089,1],[240033049,3],[240591121,6],[242393761,1],[243578449,1],[243953161,3],[244265641,3],[244703449,1],[244828609,4],[244891201,1],[245956489,3],[247653169,3],[249355681,1],[249734809,1],[250367329,4],[251507881,3],[252396769,1],[252841801,1],[253223569,1],[256032001,1],[257057089,1],[257827249,1],[257955721,1],[258148489,4],[258341329,3],[259564321,1],[260080129,1],[260467321,1],[260531881,3],[261889489,1],[262018969,1],[262083721,1],[263445361,1],[264030001,1],[264810529,10],[266766889,3],[266962921,1],[267289801,1],[267682321,12],[267747769,3],[269320921,1],[269649241,1],[270503809,1],[270635401,1],[270840023,9],[272019049,3],[273207841,1],[274266721,1],[274664329,1],[275659609,1],[275792449,1],[276191161,3],[276590161,1],[277255801,4],[278589481,1],[280462009,1],[280864081,1],[281803369,4],[282609721,3],[283013329,3],[283282561,1],[283686649,3],[284630641,4],[286658761,3],[286861969,3],[288286441,1],[288354361,1],[288558169,1],[288762049,3],[289918729,1],[289986841,1],[290123089,1],[290395681,1],[291623929,1],[292170649,1],[293197129,1],[294431281,1],[295943209,1],[297183121,1],[297804049,1],[298978681,4],[299878489,1],[300017041,1],[300710281,3],[301334881,1],[302516449,4],[303351889,1],[305235841,1],[305445529,1],[305935081,3],[306145009,1],[306565081,1],[309091561,4],[310076881,1],[311769649,3],[311840281,1],[312193561,3],[312617761,1],[312688489,3],[314317441,3],[315453121,3],[317801929,1],[318658201,3],[319086769,1],[321162241,4],[321233929,1],[321807721,1],[322453849,3],[322956841,1],[323532169,1],[324468169,1],[325694209,1],[325766401,3],[326199721,1],[328298161,3],[328370641,4],[328588129,4],[328805689,1],[329168449,12],[329939371,1],[330112561,4],[330548761,1],[330912481,1],[331203601,1],[331640521,12],[332077729,1],[332296441,1],[332442289,1],[333099001,3],[333318049,3],[334487521,1],[336832609,1],[337493641,1],[339775489,3],[340144249,1],[340439401,3],[340660849,1],[341547361,1],[341991049,3],[342361009,3],[343101529,1],[343768681,1],[344472101,1],[345327889,3],[347337769,1],[350176369,1],[350400961,3],[350850361,3],[351300049,3],[351525001,1],[351825049,3],[352275361,5],[352425529,3],[352951369,1],[355661881,1],[356400829,5],[357172201,1],[357625921,1],[357852889,3],[359443681,1],[361494169,4],[362178961,3],[362940601,1],[364008241,1],[364084561,4],[364313569,1],[366301321,3],[366377881,1],[366990649,1],[369139369,3],[369831361,1],[370062169,3],[370524001,1],[371217289,1],[372528601,1],[373223761,3],[373764889,1],[375313129,1],[375545641,1],[376010881,1],[377252929,1],[377641489,1],[378574849,1],[378808369,12],[379041961,1],[379353529,1],[379587289,1],[379821121,3],[381850681,1],[381928849,1],[382554481,3],[383024041,3],[383258929,1],[383493889,3],[384240583,5],[386554921,3],[387971809,1],[388444681,3],[388760089,1],[390102001,1],[390418081,3],[394141609,1],[394459321,3],[394697689,3],[395572321,1],[395651881,1],[397085329,1],[398441521,1],[398521369,1],[399720049,1],[400440121,4],[401882209,4],[402042601,3],[402523969,1],[405176641,1],[405740449,10],[406949929,3],[407353489,1],[409293361,1],[410508121,1],[410832361,1],[413186929,4],[413430889,1],[413756281,3],[414896161,1],[415874449,1],[416119201,4],[416445649,3],[417425761,3],[417916249,3],[419553289,1],[420619081,1],[422014849,3],[422261401,4],[425473129,3],[428200249,1],[429276961,1],[429774361,1],[430272049,1],[430521001,1],[431434441,1],[432182521,4],[433014481,1],[434680801,1],[436266769,10],[437688241,3],[438023041,1],[438441721,1],[439279681,3],[440202361,3],[441546169,3],[441966529,1],[442302961,3],[443818489,1],[445252201,3],[446857321,1],[447026449,1],[447280201,1],[451435009,4],[452370361,1],[452710729,3],[452966089,3],[454243969,1],[454414489,1],[454670329,3],[454756609,1],[455694409,3],[457061641,1],[458259649,1],[459373489,1],[461433361,1],[461691169,1],[461863081,1],[461949049,1],[462207001,3],[462379009,1],[463153441,1],[463497841,1],[464704249,1],[466084921,3],[466516801,1],[466603201,1],[467035321,3],[468679201,1],[469718929,3],[470933401,1],[471454369,3],[472062529,1],[473367049,1],[473802289,3],[474063529,1],[475196401,1],[475370809,1],[476156041,1],[477990769,3],[478778161,4],[481495249,1],[482988529,1],[484132009,1],[484572169,1],[485188729,1],[485629369,1],[486952489,4],[487482241,1],[488807881,3],[488896321,3],[489692641,1],[490489609,1],[490755409,3],[491553241,1],[492351721,1],[494929009,3],[495463081,4],[496086529,1],[496353841,1],[496532089,3],[496888681,1],[497423809,1],[497602249,1],[499477801,1],[500282689,1],[500372161,4],[501356881,12],[502163281,4],[503239489,3],[505485289,3],[506261573,4],[506745121,4],[508096681,1],[511347769,1],[511709641,1],[512433769,3],[512705449,4],[513067801,3],[513883561,1],[515698681,1],[516062089,3],[516516529,1],[518791729,3],[520341721,1],[520615489,3],[522259609,3],[522533881,3],[522625321,1],[524455801,3],[524730649,3],[527299369,1],[527758729,3],[529138009,3],[529782289,1],[529966441,3],[530242729,10],[530334841,1],[530795521,3],[531440809,1],[531625249,1],[533009569,1],[533411731,1],[534395689,1],[536709889,1],[536987929,1],[537729721,3],[538657681,1],[541446361,1],[542563849,3],[543869041,1],[544428889,1],[544708921,1],[546110161,12],[549761809,3],[552109009,4],[553990369,1],[554084521,4],[555214969,1],[556912801,1],[557101609,3],[557384881,4],[558046129,1],[558518689,1],[559937569,4],[560600329,1],[561073969,3],[561168721,3],[564205009,1],[564870289,1],[565155529,1],[565609283,1],[565916521,4],[566487601,1],[567058969,3],[567344761,3],[567725929,1],[568011889,4],[569729161,1],[569920129,1],[570206641,1],[570588769,1],[570875449,3],[571162201,3],[571735921,1],[574608841,12],[575664049,1],[578065849,4],[578931721,1],[579701929,1],[579990889,3],[580376281,1],[580954609,1],[581243881,1],[582401689,1],[585494809,1],[585785209,3],[586753729,3],[587529121,4],[589566961,3],[591316489,3],[591900241,3],[592289569,3],[593945641,3],[594823321,1],[594920881,4],[595994569,3],[596385241,3],[597264721,4],[597460249,3],[598927729,3],[599319361,1],[601573729,1],[603734041,3],[606292129,1],[608954329,3],[612513001,1],[613206169,1],[613404289,4],[615486481,4],[616082041,3],[617075281,1],[617572201,4],[617969881,3],[620856889,12],[620956561,1],[622153249,1],[623351089,3],[624450121,3],[626851369,3],[627853249,1],[628655329,1],[629422793,4],[629859409,1],[630562321,1],[630863689,1],[632673409,3],[633176569,1],[633478561,4],[633839779,1],[634183489,1],[635997961,1],[636906169,3],[638118121,12],[640241809,3],[640444249,4],[640545481,1],[642571801,3],[643789129,1],[645718921,1],[646328929,4],[647549809,1],[651423529,1],[653364721,1],[654285241,1],[655411201,3],[655820881,1],[656435641,4],[657050689,1],[657358321,12],[659102929,3],[660644209,4],[661364089,3],[662599081,1],[665588401,1],[666620761,3],[668170801,4],[669412129,3],[671483569,3],[673039249,3],[674526133,1],[675948001,1],[676156009,1],[678758809,3],[680322889,1],[681157801,3],[681575449,1],[681888769,1],[683351881,3],[683979409,3],[684397921,1],[684921241,1],[685863721,3],[689745169,3],[689955289,3],[692163481,3],[694691449,1],[696907201,3],[697857889,3],[697864103,1],[698174929,4],[700078681,3],[701137441,1],[702091009,3],[702939169,4],[704318521,3],[707400409,3],[709742881,1],[711235561,3],[711875761,3],[711982489,4],[713584369,3],[713798089,1],[714546361,3],[714867169,1],[718936969,1],[720009889,3],[720868801,1],[722480641,3],[724740241,4],[726140809,1],[726464209,1],[727974361,1],[728622049,1],[729918289,1],[732189481,12],[732297721,1],[735874129,1],[738698041,3],[739350481,1],[740438521,1],[741963121,4],[742726009,1],[746874241,1],[748952689,10],[753886849,3],[755535169,1],[756058031,1],[756745081,1],[757735729,3],[757845841,1],[758396521,1],[759057601,3],[760821889,1],[762367321,3],[762698689,3],[764688409,1],[767123809,3],[767345401,4],[769119289,1],[769452121,3],[769674049,3],[770007001,1],[771006289,1],[771339529,1],[772339681,1],[772450849,1],[774119329,1],[774341929,3],[775455409,1],[775678201,4],[777461689,1],[778465801,3],[779470561,1],[781370209,3],[781817521,3],[783832009,1],[784056001,1],[785736961,3],[789441409,1],[789553801,3],[790115881,3],[795296401,12],[795860521,10],[796876441,1],[799701841,3],[800267521,3],[801286249,1],[801399481,1],[806162449,4],[806730409,1],[808208041,1],[808776721,10],[810142369,1],[812193001,3],[812991169,4],[814360369,12],[814588681,1],[815045401,3],[816302041,1],[817788409,1],[819047161,1],[821223649,3],[821452921,1],[821567569,1],[823862209,1],[825010729,3],[826735009,1],[827770441,3],[828806521,3],[830188969,3],[830419489,3],[831918649,3],[832841881,1],[833996641,3],[837118489,3],[838044601,1],[838739521,1],[839782441,1],[841522081,3],[841986289,3],[842334529,1],[842915089,1],[844425481,1],[844596301,3],[846868201,1],[848149129,4],[848498641,4],[848964769,4],[849547609,1],[851063929,1],[851414041,4],[852698401,1],[853866841,1],[855621001,1],[856674361,1],[860424889,4],[861246409,1],[863360689,10],[863595769,3],[863713321,1],[864301201,3],[865006921,3],[865523177,1],[866066041,1],[866890249,1],[867479209,12],[869247289,1],[870309001,1],[871843729,1],[872079961,1],[872434369,3],[874207489,1],[875390569,4],[876811321,3],[878588881,1],[879893569,1],[880249561,3],[883100089,1],[883456729,1],[885241009,1],[885598081,3],[885717121,1],[888218809,3],[890246569,3],[891082201,3],[892396129,12],[892754641,1],[895026889,1],[896822809,1],[898980289,4],[900660121,3],[900780169,1],[903543481,1],[904265041,3],[905347921,1],[906190609,4],[906551881,1],[906792769,1],[907154161,1],[908359321,1],[910168561,3],[910892761,1],[911254969,12],[912221209,1],[913429729,1],[914518081,3],[915244009,1],[915498611,1],[917665849,1],[918877969,1],[919241761,4],[920576281,1],[922154689,1],[923491321,3],[924342409,1],[929701081,3],[929823049,3],[930799081,1],[933852481,3],[935931649,1],[938625769,3],[939361201,1],[940096921,3],[940710241,4],[941814721,1],[942305809,1],[946977529,1],[947469961,3],[948824809,4],[949687489,3],[949862087,1],[950427241,3],[951784201,1],[955489921,1],[956726761,12],[957840601,1],[959202841,1],[964909969,1],[966028561,1],[968516641,3],[968641129,4],[970509409,3],[972753721,1],[973242271,4],[976375009,4],[976500001,1],[976750009,3],[977125081,1],[977875441,3],[978250729,1],[981005041,1],[981756889,1],[982007569,1],[985394881,1],[990297961,1],[991053361,1],[991557121,1],[993069169,3],[994960849,3],[996854329,3],[1000267129,4],[1001659201,12],[1002165649,1],[1004065969,1],[1009396441,1],[1014995881,1],[1022272729,1],[1023424081,1],[1024576081,1],[1025728729,1],[1025856841,4],[1027243729,1],[1027266601,1],[1027651249,1],[1028933929,1],[1030345801,1],[1031501689,3],[1033172449,1],[1035101929,3],[1035745489,1],[1038966289,1],[1039224169,4],[1043096209,1],[1043483809,1],[1043871481,1],[1044647041,4],[1044776329,1],[1045940281,3],[1047104881,3],[1047881641,1],[1050472921,3],[1050602569,4],[1051250929,1],[1052418481,4],[1054885441,3],[1056055009,1],[1056445009,1],[1058265961,1],[1058396089,1],[1058656369,1],[1060348969,1],[1060739761,3],[1064912689,1],[1068832249,1],[1070402089,1],[1073283121,2],[1074462841,3],[1075118521,1],[1075643209,4],[1076036809,1],[1078399921,1],[1078662649,3],[1081554769,1],[1083002281,1],[1083133921,3],[1085109481,3],[1086954961,1],[1089858169,1],[1090518529,1],[1090914841,1],[1092236401,1],[1094484889,3],[1095014281,1],[1095912791,1],[1096470769,1],[1096868161,3],[1098856201,3],[1100978761,3],[1101642481,4],[1102302937,1],[1102439209,1],[1108157521,3],[1108956601,1],[1110022489,4],[1110955561,3],[1112422609,1],[1116161281,3],[1119370849,1],[1120843441,4],[1121622319,1],[1121781049,1],[1122451009,3],[1124462089,1],[1125401209,1],[1126877761,1],[1128086569,1],[1128220921,1],[1128892801,1],[1131447769,4],[1131716881,1],[1134275041,1],[1135892209,1],[1138320121,3],[1139130001,12],[1139535049,1],[1140345361,1],[1140615529,4],[1141831681,1],[1144401241,3],[1145890201,1],[1146296449,1],[1146702769,1],[1148464321,3],[1151719969,4],[1153349521,4],[1158108961,1],[1158245089,3],[1158653521,1],[1164652129,4],[1164788641,3],[1165607881,1],[1166837281,4],[1167657241,1],[1170392521,1],[1170803089,1],[1171761361,4],[1173268009,12],[1173679081,1],[1175324089,1],[1176695809,3],[1177793761,3],[1180678321,12],[1182053161,3],[1183566409,4],[1186044721,1],[1188249841,1],[1191147169,1],[1192804369,1],[1195983889,3],[1196398921,1],[1196537281,4],[1199306161,1],[1200553201,1],[1202216929,1],[1203187969,1],[1203604249,3],[1205547841,1],[1207354009,1],[1208049049,4],[1208188081,1],[1208466169,1],[1211527249,1],[1212362761,4],[1213895281,3],[1214034649,1],[1214313409,1],[1215986641,3],[1216405129,1],[1216823689,1],[1218917569,1],[1221432601,1],[1222271521,1],[1222411369,1],[1226610529,1],[1228712809,12],[1229834761,3],[1230676561,1],[1230816889,3],[1231237921,3],[1233203689,1],[1234046641,1],[1234889881,1],[1240941529,1],[1242633001,3],[1243056049,3],[1243761289,1],[1244748961,3],[1246866721,1],[1247714329,3],[1247996929,1],[1249834609,10],[1250541769,1],[1252664449,3],[1253655649,1],[1259611081,3],[1260889081,1],[1263304849,3],[1265153761,1],[1266719281,4],[1267146409,1],[1272420241,4],[1276561441,1],[1276704361,3],[1278277009,1],[1278706081,1],[1279564441,1],[1284433921,1],[1286585161,1],[1288594609,3],[1289599921,1],[1291180489,3],[1293337369,1],[1294344529,10],[1294776289,1],[1296504049,3],[1297224289,3],[1300828489,3],[1301261329,3],[1303859881,3],[1305751357,1],[1306894801,1],[1307617921,3],[1309498969,1],[1311671089,3],[1312540441,1],[1313410081,1],[1314135001,1],[1315440361,1],[1320668281,4],[1324159321,1],[1331739049,1],[1334221729,3],[1334367841,4],[1335244681,4],[1335975601,4],[1338315889,1],[1338608569,3],[1342269769,1],[1342709449,1],[1343442409,3],[1346229481,1],[1354902481,3],[1355786041,3],[1356669889,1],[1357701409,1],[1360650769,3],[1361536201,3],[1361683801,1],[1363012561,3],[1363307929,1],[1363751041,3],[1363938029,1],[1364785249,3],[1367002729,1],[1367446441,1],[1372628401,3],[1378117129,1],[1379305321,1],[1380791281,3],[1381683241,4],[1382426761,3],[1383021721,3],[1385551729,3],[1389276529,1],[1392857041,4],[1394200921,1],[1395545449,1],[1395844321,1],[1397189641,1],[1399433281,1],[1400480929,1],[1401828481,1],[1404975289,1],[1405425121,1],[1405725049,3],[1406775049,1],[1407075121,4],[1409777209,1],[1411580041,1],[1412181241,1],[1412932921,4],[1413083281,3],[1414286449,12],[1415189161,1],[1416247867,1],[1417447201,1],[1418049649,3],[1420762249,3],[1424836009,1],[1427555089,3],[1429671721,3],[1429822969,1],[1431184561,1],[1432395409,1],[1433455321,4],[1436182609,1],[1436940649,3],[1440278401,1],[1443012169,1],[1443316081,3],[1444836121,1],[1448030809,3],[1449248761,1],[1455346201,4],[1459316401,3],[1461609361,3],[1462221121,3],[1465894369,3],[1467119809,1],[1468192489,1],[1468499041,12],[1468958929,1],[1469112241,1],[1469418889,1],[1470799201,1],[1474022449,4],[1478325601,1],[1479248521,1],[1482327001,1],[1485562849,10],[1486642249,3],[1487413489,1],[1489419649,1],[1490654881,12],[1492199641,1],[1492972321,1],[1495910329,1],[1497148249,1],[1499470729,10],[1499935441,3],[1501330009,3],[1501485001,1],[1507070041,1],[1510177321,1],[1512509881,1],[1513443409,4],[1514532889,4],[1514844241,1],[1517336209,4],[1517803681,1],[1518738841,1],[1522482361,1],[1522794529,1],[1524355849,1],[1524845951,9],[1527168241,3],[1527949921,3],[1529357449,3],[1531391689,3],[1531861321,4],[1532808577,1],[1533270649,1],[1533583921,1],[1535934481,1],[1536561601,3],[1537345681,1],[1538914441,3],[1543939849,3],[1545511969,3],[1546298329,1],[1550075641,1],[1552123609,1],[1553069281,3],[1556381401,1],[1566655561,1],[1568239201,2],[1570616161,4],[1572836281,1],[1573470889,4],[1573788241,1],[1577598961,4],[1579983001,1],[1581573361,1],[1583323681,1],[1587305281,1],[1589058769,1],[1590175129,1],[1590972769,1],[1594325041,1],[1597680841,1],[1598320441,1],[1598640289,1],[1599120121,12],[1601040169,3],[1602480961,1],[1602961369,3],[1603121521,1],[1606967569,4],[1607448649,1],[1607929801,12],[1608892321,1],[1610176129,4],[1614191329,1],[1623203521,3],[1629010321,1],[1634018929,4],[1634342329,1],[1634504041,1],[1636930681,1],[1637901841,1],[1642761961,1],[1645032481,1],[1647629281,1],[1648116409,3],[1650553129,1],[1651365769,1],[1651528321,1],[1655920249,1],[1659666121,1],[1660644001,3],[1663579369,1],[1665700969,1],[1666517329,1],[1668640801,1],[1668967609,1],[1673055409,3],[1676001721,1],[1677803521,3],[1681902121,1],[1682394289,1],[1684856209,1],[1687648561,3],[1690278769,1],[1690607689,4],[1695710041,1],[1697522401,1],[1697687209,3],[1697936057,4],[1699665529,4],[1699995361,1],[1702635169,1],[1705607401,1],[1709905201,3],[1712387161,3],[1712883769,4],[1713049321,1],[1717522249,1],[1720507441,1],[1721503081,1],[1722831049,1],[1723827361,1],[1725488521,1],[1728813241,3],[1733972881,1],[1734472609,1],[1737305761,3],[1737805969,3],[1740474961,1],[1744816441,10],[1745317729,1],[1750836649,1],[1753850641,1],[1754520769,3],[1755023449,1],[1756531921,3],[1759550809,1],[1760557681,1],[1765428289,3],[1769969041,3],[1770137329,1],[1771483921,3],[1777212649,12],[1778224561,1],[1780249249,3],[1782781729,3],[1784133121,1],[1787682961,1],[1787852089,3],[1788697849,1],[1791913561,3],[1792421569,1],[1793437801,3],[1798353649,3],[1800559489,3],[1801408249,3],[1802087401,1],[1802596849,3],[1802936521,1],[1803106369,1],[1806165001,3],[1807015081,1],[1809056089,3],[1812290041,1],[1813822921,3],[1815697321,1],[1818254881,1],[1820472889,1],[1821326329,1],[1821838489,1],[1823033809,3],[1823375401,1],[1825596529,3],[1826451169,1],[1826964049,1],[1827648001,3],[1834323241,1],[1835179921,3],[1843585969,3],[1845647521,1],[1847194441,1],[1850118169,3],[1850634361,1],[1853388601,4],[1854421969,3],[1857006649,1],[1859075689,1],[1860455689,1],[1862699281,1],[1864253329,1],[1865289721,4],[1865409391,1],[1866326401,1],[1866844849,3],[1871514121,1],[1876015969,4],[1877575561,1],[1883299609,3],[1883473201,1],[1883820409,12],[1888510849,3],[1890597361,3],[1892819053,4],[1895818681,12],[1895992849,3],[1898606329,4],[1898954929,3],[1900698409,3],[1901570449,3],[1902093769,1],[1905235201,3],[1905409801,1],[1906981561,1],[1911176089,3],[1914850081,1],[1916775961,4],[1917301369,4],[1917826849,1],[1923085609,1],[1924313689,12],[1926244321,1],[1930108489,1],[1931690401,1],[1932569521,1],[1938552841,1],[1942253041,3],[1946486161,1],[1947368641,1],[1947545161,4],[1951077241,1],[1951784041,1],[1952667721,12],[1953728401,3],[1954258849,4],[1957974001,3],[1959213169,1],[1959744361,1],[1960806961,3],[1970383321,1],[1975713601,10],[1980339001,3],[1983188089,3],[1984078849,1],[1984613401,1],[1988000569,1],[1992104689,1],[1992818881,1],[1993354609,1],[1994247649,1],[1996927969,4],[2002831009,1],[2004442441,4],[2006054521,3],[2010535921,3],[2013047689,3],[2014124641,4],[2014842769,1],[2015381449,3],[2017536889,3],[2020772209,4],[2021311681,3],[2025630049,1],[2026170169,1],[2032476889,1],[2035904641,1],[2039515921,1],[2041142041,3],[2042768809,1],[2047291009,4],[2048377081,1],[2051093521,1],[2053630489,1],[2053811761,4],[2054718241,1],[2055806281,1],[2059072129,3],[2060161321,3],[2061432409,1],[2062340569,1],[2063612329,3],[2069431081,4],[2069977009,1],[2070523009,1],[2072343529,1],[2075075809,3],[2075440249,3],[2076533761,1],[2079268801,1],[2080545769,3],[2082440933,1],[2084744281,12],[2085474889,1],[2086022929,4],[2087667481,1],[2088215809,3],[2089129849,1],[2091873169,1],[2093154001,1],[2094252169,1],[2103414769,1],[2103965161,1],[2106167449,3],[2110759249,3],[2112229681,1],[2114988121,3],[2117932441,4],[2118484729,1],[2120510401,4],[2121615721,4],[2124380281,1],[2125117801,4],[2133238969,3],[2137860169,1],[2140080121,1],[2141700569,2],[2144523481,1],[2147117569,1],[2156580721,1],[2156766481,1],[2157323809,4],[2159553841,4],[2160111529,1],[2161227121,3],[2168485489,1],[2173331161,1],[2174636689,1],[2176129201,1],[2177435569,1],[2178929041,3],[2180049481,1],[2181170209,3],[2181825073,4],[2183412529,1],[2185656001,1],[2187339361,3],[2187526441,3],[2191269721,12],[2192955241,1],[2195953321,3],[2197453129,1],[2199703801,3],[2204959849,12],[2212245127,5],[2214361249,3],[2217185569,3],[2217750649,1],[2222462449,4],[2223028201,1],[2229822841,1],[2231334169,1],[2232657001,3],[2243253769,3],[2244959161,1],[2245527769,1],[2245717321,1],[2247423649,4],[2248371889,1],[2248561561,1],[2255395081,1],[2256915049,3],[2260336849,1],[2262238969,1],[2265664801,3],[2266616881,1],[2267950129,3],[2270808409,1],[2275194601,1],[2276530369,4],[2278821169,1],[2282641729,3],[2282832841,1],[2286656761,4],[2290292449,3],[2291441161,1],[2292590161,1],[2297572489,1],[2300449369,3],[2302176361,1],[2306784841,1],[2308706401,1],[2311590241,1],[2312744281,1],[2315438161,1],[2316593161,1],[2319096649,3],[2321986969,1],[2322950809,4],[2325264841,1],[2327001121,1],[2327773009,1],[2332793401,3],[2334145969,1],[2336852281,1],[2343818569,1],[2348662369,3],[2349631729,3],[2350407361,1],[2350989169,3],[2351377081,4],[2355452089,3],[2357947691,3],[2358364969,1],[2363807161,1],[2364196129,3],[2366530609,1],[2369450329,1],[2374710361,1],[2378220289,1],[2380171369,1],[2381342401,1],[2382318481,3],[2383099489,3],[2383490041,1],[2387201881,1],[2388179161,3],[2388374641,1],[2390134321,1],[2391894649,3],[2398354729,1],[2401882081,1],[2402862361,1],[2404627369,3],[2408944561,1],[2411104609,1],[2413069129,1],[2417590561,3],[2420541601,1],[2420738401,1],[2421328849,3],[2426646121,1],[2431180249,1],[2433744889,4],[2436705769,4],[2437100689,3],[2439470881,1],[2441249281,1],[2443226041,3],[2443621489,4],[2445401401,4],[2446588369,4],[2448369361,4],[2450151001,3],[2452527529,1],[2453121841,1],[2453914369,3],[2454905209,1],[2461449769,1],[2462839129,1],[2466810889,1],[2468201761,3],[2471183521,1],[2473968121,1],[2475759049,1],[2478347089,1],[2478745369,1],[2480737249,3],[2485321609,1],[2487116641,1],[2489111881,1],[2491906561,1],[2493903721,10],[2495701849,3],[2499300049,1],[2502100441,1],[2502300529,1],[2504702209,3],[2505302809,3],[2507705929,3],[2509308649,3],[2511914161,1],[2513117161,1],[2514721609,1],[2515925281,1],[2520742849,3],[2521008881,4],[2522148841,3],[2526168121,1],[2526369169,4],[2527374529,1],[2528782369,3],[2532203041,1],[2534216281,3],[2536028881,1],[2538446689,1],[2541268921,4],[2544294481,10],[2546110681,4],[2549947009,4],[2554190521,1],[2554497863,2],[2555201401,1],[2559449281,1],[2559651649,1],[2560258801,4],[2563093129,1],[2565523801,1],[2571199849,4],[2574649081,1],[2577897529,3],[2582774041,4],[2585620801,3],[2587451689,1],[2596615849,3],[2597838961,1],[2598042841,3],[2599878121,1],[2604162961,1],[2607225721,1],[2608247041,3],[2614379161,1],[2620723249,1],[2624410441,1],[2625435121,1],[2630356369,1],[2632408249,1],[2633789341,1],[2636719801,1],[2640212689,4],[2642679649,3],[2643913561,1],[2645970721,1],[2646999601,1],[2650087441,3],[2650293361,1],[2650911169,1],[2652559009,3],[2656268521,3],[2658742969,1],[2662456801,1],[2665760161,1],[2677959001,3],[2690393161,10],[2690600641,1],[2693506201,1],[2694336649,1],[2696621041,1],[2698698601,3],[2700984841,3],[2701608529,3],[2703064081,3],[2704936081,1],[2706184441,3],[2709931249,3],[2710972489,3],[2711180761,3],[2714722609,3],[2717224129,1],[2720978569,3],[2722856761,1],[2724944401,3],[2727241729,1],[2728704169,4],[2729958001,3],[2731003081,1],[2731839289,3],[2734139521,1],[2735394601,1],[2736649969,3],[2738124199,1],[2744397769,3],[2749219489,1],[2755095121,1],[2763289489,1],[2763710041,4],[2764971889,1],[2770864321,1],[2773812889,3],[2774444929,1],[2776341481,3],[2776973809,1],[2778449521,1],[2780136529,1],[2780769289,1],[2782246009,1],[2783301049,1],[2786045089,1],[2788579249,1],[2791748569,1],[2796611689,1],[2797246321,4],[2797260929,4],[2798727409,1],[2800420561,1],[2802325969,1],[2803808401,3],[2805503089,3],[2808894001,3],[2809318009,1],[2814408601,1],[2816318761,1],[2818441921,3],[2820990769,1],[2821415689,1],[2824603609,1],[2826091921,3],[2827155241,1],[2827367929,3],[2830346401,1],[2833752289,1],[2834391121,3],[2838651841,1],[2838864961,1],[2841849481,1],[2843342329,1],[2843768929,3],[2849104129,1],[2849531161,3],[2851666801,3],[2855512969,1],[2855940481,3],[2862571009,3],[2862999049,1],[2865139729,1],[2867709601,1],[2869637761,1],[2873924881,3],[2874139321,4],[2877142321,1],[2878644409,1],[2885730961,1],[2887020361,1],[2891535529,1],[2893471681,1],[2896484761,3],[2897776561,1],[2900576449,1],[2903162161,3],[2903808769,1],[2904239881,3],[2905102201,1],[2908121329,1],[2910710401,3],[2917188121,3],[2921294401,1],[2924970889,3],[2925836281,1],[2931031321,3],[2932330801,3],[2934063889,3],[2935580761,12],[2936881249,4],[2939483089,4],[2942649737,1],[2945992729,1],[2947078369,3],[2947729849,1],[2949684721,3],[2951857561,3],[2955770689,3],[2959686409,4],[2960339281,4],[2960774569,1],[2961427561,3],[2961645241,1],[2969923009,1],[2970577009,12],[2974502521,10],[2974720681,12],[2975375209,1],[2977120969,3],[2978648929,1],[2981269201,3],[2984327641,1],[2986294609,1],[2988480889,1],[2993074681,3],[2995044529,3],[2997672001,3],[2999424289,1],[3000081529,1],[3006219241,1],[3006657889,1],[3008632201,1],[3010607161,4],[3011485129,4],[3014778649,1],[3018513481,1],[3019392601,4],[3022030729,3],[3025110001,3],[3025990081,3],[3030392401,1],[3030612601,1],[3031273249,4],[3031713721,3],[3033696241,4],[3036340609,1],[3041191609,3],[3047150401,1],[3048917089,3],[3049137961,3],[3052452001,3],[3053557081,3],[3061740889,1],[3063733201,1],[3066169129,3],[3070378921,3],[3073704481,1],[3080361001,1],[3084802681,12],[3089025241,1],[3090136921,3],[3091693609,4],[3095698321,1],[3098146921,3],[3101487481,1],[3102155809,1],[3103715521,1],[3104829841,3],[3106167289,3],[3112189369,1],[3112858849,4],[3115090969,4],[3115760761,1],[3116207329,1],[3116877241,1],[3117770569,1],[3118440649,1],[3119110801,3],[3121568641,1],[3124921801,1],[3127158241,3],[3127829329,1],[3128276761,1],[3128500489,1],[3132305089,1],[3134544169,3],[3136336009,1],[3141938809,1],[3147097801,4],[3149791129,3],[3150689161,1],[3156080041,3],[3159226849,3],[3159451681,1],[3163950001,4],[3169577401,1],[3176336881,1],[3177464161,1],[3179042689,1],[3184457761,1],[3188522089,1],[3189651529,10],[3189877441,1],[3192363001,4],[3195301729,1],[3195753961,3],[3197110849,1],[3203220409,4],[3204805321,3],[3207296689,3],[3210695569,3],[3211602241,4],[3212735761,1],[3213415969,1],[3215003401,1],[3218406361,12],[3220222009,3],[3222492289,3],[3227035249,3],[3227262481,1],[3227716969,1],[3231126649,4],[3236813449,3],[3238634281,1],[3240000241,1],[3240227929,3],[3242277481,1],[3244783369,3],[3247062289,4],[3248202049,4],[3253219369,1],[3257327329,1],[3257783929,1],[3259153921,1],[3261209449,3],[3265322449,1],[3266008201,1],[3269438041,1],[3271039249,3],[3274242841,1],[3277677001,3],[3279738361,1],[3288678409,3],[3291661129,1],[3292808689,3],[3293497321,3],[3294415609,3],[3296252569,1],[3297860329,1],[3301306849,3],[3304755169,1],[3305445049,3],[3306595009,1],[3309355729,3],[3309585841,3],[3312808249,1],[3313038481,1],[3314420041,1],[3316953649,1],[3322023769,10],[3322484881,4],[3323868409,1],[3325482889,1],[3330328681,1],[3331482961,3],[3335178001,1],[3337719529,1],[3339799681,1],[3341880481,4],[3345349921,3],[3346275409,1],[3347663881,3],[3352294201,1],[3357391249,1],[3357854809,3],[3360868729,3],[3362956081,1],[3365508169,1],[3367132729,1],[3369686401,1],[3370615249,1],[3371079721,3],[3376655881,1],[3381538801,1],[3388054849,3],[3388520521,3],[3389219089,1],[3390616441,4],[3392247049,3],[3395509441,1],[3401339041,4],[3403205569,1],[3406940161,1],[3408107641,1],[3410910409,1],[3411844921,3],[3412545889,3],[3415116721,1],[3419559529,1],[3430093489,3],[3434077201,10],[3434311609,1],[3435483769,1],[3440643649,1],[3441112921,3],[3443225041,1],[3444163969,1],[3445572601,3],[3448860529,1],[3450505081,3],[3452385049,3],[3453090169,1],[3455911369,3],[3456146521,1],[3461086561,3],[3468856609,1],[3470034649,4],[3470270281,1],[3474277249,1],[3482298121,1],[3483478441,1],[3487020601,4],[3489146761,3],[3490091929,3],[3491982649,4],[3495056161,1],[3495529129,1],[3498604201,3],[3500733889,1],[3504284809,1],[3513288529,3],[3520404889,1],[3522541201,3],[3523490881,1],[3524678161,1],[3525628129,1],[3527528449,3],[3530379889,1],[3532642667,1],[3533232481,1],[3534659209,1],[3541321081,1],[3541797169,3],[3547512721,3],[3548227489,3],[3549895561,3],[3554186689,1],[3554663641,1],[3555379129,1],[3558241801,1],[3559196281,1],[3563970601,1],[3564925849,4],[3566836729,1],[3567553441,4],[3573528841,3],[3574963681,1],[3583578769,1],[3585494641,3],[3591485041,4],[3594841849,1],[3596520841,1],[3604441369,1],[3609245929,1],[3609966889,1],[3615256129,3],[3616699321,4],[3626809729,4],[3632593441,1],[3635245849,1],[3638140489,3],[3639829561,3],[3649730569,3],[3653356249,12],[3655048849,3],[3659887009,1],[3662791441,1],[3664970521,1],[3671026921,3],[3673693321,4],[3674420689,12],[3676845769,3],[3679756921,1],[3684854209,1],[3686796961,3],[3688983169,4],[3691413049,1],[3691899121,3],[3705035161,4],[3713317969,3],[3715268209,4],[3716243521,3],[3721854049,1],[3732110281,3],[3735776641,3],[3736754641,1],[3748255729,4],[3752910121,3],[3761736889,3],[3762472921,3],[3765417769,3],[3774996481,3],[3778437961,1],[3778683841,1],[3780651169,1],[3783603121,1],[3784587361,1],[3787540849,3],[3788033209,1],[3788771809,10],[3789756721,1],[3792465889,1],[3794929609,1],[3795668881,1],[3797887129,1],[3798380161,1],[3802818889,10],[3803558929,1],[3809728729,1],[3826783321,3],[3835696489,1],[3837678601,3],[3839165521,3],[3841396441,3],[3842388169,12],[3844372009,3],[3845364121,3],[3846108289,3],[3847751263,2],[3851071249,4],[3856285801,4],[3861006769,3],[3867471721,1],[3867720481,1],[3871203961,4],[3872946289,3],[3881165401,4],[3881663809,10],[3887148409,12],[3891638689,3],[3893884801,4],[3896630929,1],[3902126089,1],[3910376089,1],[3911126521,3],[3917633281,1],[3920888689,4],[3922892689,3],[3929158489,3],[3934174729,1],[3935178361,1],[3936684049,1],[3937939009,1],[3940449529,3],[3946226761,1],[3950248201,1],[3956787409,3],[3959807329,3],[3961317721,3],[3966606361,1],[3966858289,1],[3969126001,5],[3977446489,1],[3983250769,1],[3987796201,4],[3991586041,3],[3993860809,4],[3995630521,3],[3999424081,1],[4000183009,3],[4003978729,1],[4006763401,1],[4009042489,1],[4011575569,3],[4012842409,3],[4015376689,1],[4016644129,1],[4020701281,3],[4025014249,1],[4027552369,12],[4028060089,3],[4030599169,3],[4031361049,3],[4034917441,12],[4035679729,1],[4039746481,4],[4043306569,3],[4044832801,1],[4045087201,1],[4045850449,3],[4046359321,1],[4050940609,3],[4052468281,1],[4056543481,1],[4063170049,1],[4066995529,1],[4070312401,12],[4071588481,1],[4073003173,1],[4073375329,1],[4075417921,3],[4075673281,3],[4077716449,1],[4083337801,3],[4086917041,1],[4093056529,4],[4095616009,3],[4096896049,1],[4098432361,1],[4100225089,1],[4100737369,1],[4111759129,3],[4115607409,1],[4120227721,4],[4123823089,1],[4126392169,1],[4134618601,4],[4134875809,3],[4138734889,1],[4143883129,3],[4147231201,3],[4147746409,3],[4151611489,1],[4153931401,3],[4154189209,1],[4161927169,1],[4165509529,1],[4167089809,3],[4168897489,1],[4170188929,1],[4170447241,3],[4171997281,1],[4174322881,1],[4175873641,3],[4177424689,4],[4185184249,3],[4188290089,3],[4194246169,1],[4196653397,1],[4205392801,3],[4208246641,3],[4209284641,1],[4214476561,1],[4214736241,1],[4216813969,1],[4218632401,3],[4224610009,1],[4228510729,1],[4228770841,3],[4236577921,3],[4238140201,3],[4241005129,1],[4241786641,1],[4244131609,1],[4247519929,1],[4248302041,1],[4252735369,1],[4256127121,1],[4258476049,1],[4259406061,1],[4259781289,1],[4267616929,1],[4271014609,1],[4273367641,1],[4274675161,1],[4276244449,1],[4282000969,1],[4283309809,1],[4287499441,3],[4289857009,4],[4292739361,1],[4295098369,4],[4296933601,1],[4298506969,4],[4300867561,3],[4301654569,4],[4303228801,1],[4305590689,1],[4310841649,1],[4313468329,1],[4314781969,1],[4316358601,3],[4316621401,3],[4317409849,1],[4318198369,3],[4318724089,1],[4318986961,3],[4320301441,1],[4324509121,1],[4326613729,1],[4328192521,1],[4333193929,3],[4335300649,3],[4336354201,1],[4338461689,1],[4342678201,1],[4349534401,1],[4351117369,1],[4360885369,3],[4362206209,12],[4366962889,4],[4367755921,3],[4369606609,4],[4370135449,1],[4370399881,4],[4378865929,3],[4381248481,1],[4387605121,1],[4391845441,1],[4394761849,3],[4395822601,1],[4400597569,1],[4401924409,1],[4403782321,1],[4405375129,1],[4405906129,3],[4410686569,1],[4413077761,1],[4417862089,1],[4422117001,1],[4429301809,1],[4431431761,3],[4439423641,1],[4441289449,4],[4450624369,1],[4457298169,3],[4461037681,1],[4463442481,1],[4469056201,3],[4469323609,1],[4470660769,3],[4473335689,3],[4483507681,1],[4493423089,1],[4495568401,3],[4497177721,3],[4498787329,1],[4502812609,1],[4507913881,3],[4509525409,4],[4513286761,4],[4514361721,1],[4517318521,3],[4520007361,3],[4524042121,3],[4535887801,1],[4538582161,3],[4542625201,1],[4545591241,3],[4549097809,1],[4554765121,1],[4556115001,1],[4559355529,4],[4561246369,3],[4565299489,3],[4566921241,3],[4570706449,1],[4572329161,3],[4576657801,3],[4583154601,1],[4584508681,1],[4586404729,1],[4590198001,1],[4591011049,4],[4591282081,1],[4593721729,3],[4599141247,4],[4600773241,1],[4602672649,1],[4614077329,1],[4618697521,1],[4623048049,12],[4631210809,1],[4632407963,1],[4633661041,1],[4639108321,4],[4647285241,1],[4649101309,1],[4652194849,1],[4652467681,1],[4653831961,1],[4656561121,1],[4662021841,4],[4662294961,1],[4668852241,1],[4671859201,1],[4683622969,1],[4689099529,1],[4690743121,1],[4691017081,1],[4692387001,3],[4693209049,1],[4695127441,1],[4696497961,1],[4717354489,1],[4719552601,1],[4721201521,3],[4724775169,1],[4728900289,3],[4730275729,1],[4732201681,1],[4735228969,1],[4745969881,1],[4746796609,3],[4747623409,12],[4748450281,1],[4749552889,3],[4750931329,1],[4755895369,1],[4760034049,1],[4762518121,1],[4763622361,1],[4765278961,1],[4769421721,1],[4770250489,1],[4781584201,10],[4784350561,2],[4787394481,1],[4787671249,4],[4788224809,3],[4791546841,3],[4793208289,12],[4807619569,12],[4808174281,1],[4812335641,1],[4814000689,4],[4820108329,1],[4825664089,1],[4826497729,1],[4829833009,12],[4835672521,3],[4838176249,3],[4847362129,4],[4851540409,3],[4852559557,4],[4854884329,3],[4856835481,1],[4857671809,4],[4859344681,3],[4863249169,1],[4863528121,1],[4866597121,1],[4866876169,3],[4873296481,3],[4875809929,1],[4876089241,12],[4876647889,1],[4880000449,3],[4880279881,1],[4885870201,1],[4887035873,5],[4887547921,1],[4899580009,3],[4900420009,3],[4901260081,3],[4904335099,1],[4908543721,1],[4913869801,1],[4915552321,1],[4917235129,1],[4919479321,4],[4919759881,1],[4922004649,1],[4922846569,3],[4924811329,1],[4925372761,1],[4925653489,3],[4928180401,1],[4929022849,3],[4934922001,1],[4943355481,1],[4945043041,1],[4945886929,12],[4953485161,1],[4955174449,1],[4959398929,1],[4960244041,1],[4961652721,1],[4964188849,3],[4964470681,1],[4967571361,1],[4970391001,4],[4971237049,1],[4974339841,3],[4975468369,1],[4977161401,3],[4980266041,1],[4981959889,1],[4982806921,3],[4985348449,3],[4989868321,1],[4991443829,1],[4992411649,1],[4993259569,1],[4993824889,1],[4996651969,1],[4999762681,4],[5000894089,3],[5008251361,1],[5019580801,3],[5025533881,1],[5026951801,3],[5029504561,1],[5029788241,3],[5034044401,3],[5038018441,1],[5038302361,1],[5044266529,1],[5046539521,12],[5049381481,1],[5052508561,1],[5057912161,3],[5059334641,1],[5061895609,1],[5062749409,1],[5063887921,1],[5064741889,1],[5065311241,1],[5068158481,1],[5074710169,1],[5076420001,1],[5078415169,1],[5081836369,1],[5088396889,3],[5089538281,1],[5092106881,1],[5092677769,1],[5097328361,4],[5099530921,4],[5099816569,1],[5102102041,1],[5108389729,1],[5112679009,1],[5117542369,3],[5122121761,4],[5131286689,3],[5140746601,1],[5142754369,1],[5143614961,3],[5146771081,3],[5151937729,1],[5160554569,3],[5161416649,3],[5164003321,1],[5167740769,3],[5169466201,1],[5172054889,3],[5175507481,1],[5179824841,1],[5181552289,3],[5182992049,1],[5190193849,3],[5190770209,1],[5195093929,4],[5197112281,1],[5198842609,3],[5199707881,1],[5204035321,1],[5207209921,1],[5208075889,1],[5215872841,3],[5217028441,10],[5225410369,4],[5228302249,3],[5233220281,1],[5236982689,3],[5239298689,3],[5244801241,4],[5253495361,3],[5255815009,1],[5256685009,1],[5263067209,3],[5263647601,1],[5273228689,3],[5277005449,3],[5277112021,4],[5277586609,3],[5282237041,3],[5286307849,1],[5288052961,10],[5289216529,3],[5290089289,1],[5295036289,4],[5299403209,1],[5302315489,1],[5308433881,1],[5309891161,1],[5310182641,1],[5311931689,1],[5312806321,1],[5316013921,1],[5317763929,1],[5318930761,3],[5319805969,1],[5321556601,1],[5325058729,1],[5330898169,4],[5331859723,9],[5334695521,1],[5335279849,1],[5340540241,1],[5346680641,4],[5355458761,1],[5366881081,1],[5371570681,1],[5374209481,1],[5376848929,1],[5377435561,1],[5380369201,1],[5383010161,1],[5384477641,1],[5385651769,3],[5386984777,1],[5390055889,1],[5397987841,4],[5398869529,1],[5399751289,1],[5405631529,1],[5406513841,4],[5410043809,4],[5422407769,1],[5423291449,3],[5427710929,1],[5428595041,4],[5428889761,3],[5430658249,1],[5434785841,1],[5440095049,3],[5443931089,3],[5449244761,1],[5453379409,1],[5460766609,1],[5462244649,1],[5472004729,1],[5475852001,1],[5478516289,3],[5482958209,1],[5487401929,1],[5489772649,3],[5490958201,12],[5499557281,1],[5500743889,1],[5504007721,12],[5505194809,1],[5506085209,3],[5508459961,1],[5514102049,1],[5517369841,1],[5520044209,1],[5522124721,1],[5523908329,3],[5529855769,3],[5532830689,3],[5536996921,3],[5542653601,1],[5548611121,1],[5551293049,4],[5553379441,3],[5561132329,1],[5563220569,3],[5564712409,1],[5566502881,1],[5566801321,1],[5568592129,1],[5582630089,1],[5582928961,4],[5584059449,3],[5589207121,1],[5591898841,1],[5594591209,4],[5598182041,3],[5599678561,1],[5603570449,3],[5608062769,12],[5609560609,3],[5613455929,1],[5614355041,3],[5614954489,1],[5626650121,1],[5627550289,4],[5631151681,3],[5641361881,4],[5650378561,1],[5652182761,1],[5653987249,1],[5666626729,3],[5668315687,5],[5673554329,3],[5674458241,3],[5675663569,1],[5677170409,1],[5678074609,3],[5680184689,3],[5681692129,1],[5685612409,1],[5697079441,1],[5700703009,1],[5703421441,1],[5704327729,1],[5706140521,3],[5708255809,1],[5710976041,3],[5711882929,3],[5719745641,1],[5723376409,3],[5731549849,4],[5731852681,3],[5735184361,1],[5743669369,1],[5750643889,1],[5753677609,1],[5756105161,3],[5765516761,12],[5766427969,3],[5767035481,3],[5772808441,1],[5775544009,1],[5776152001,1],[5776456009,4],[5788014241,1],[5788318561,4],[5791057801,3],[5791666609,3],[5795624641,3],[5800193281,1],[5807506849,1],[5812995049,3],[5813910001,3],[5815435081,1],[5815740121,1],[5819096089,1],[5820011521,3],[5831918689,12],[5832224161,3],[5833751641,1],[5843226481,1],[5847813841,1],[5853933121,1],[5855157361,1],[5857912369,1],[5858830849,4],[5864343241,1],[5868632449,3],[5875069201,4],[5875375801,1],[5879669041,1],[5893786441,1],[5898393601,1],[5901158761,12],[5902695241,3],[5910995689,1],[5914686649,3],[5915609569,1],[5916532561,1],[5921148601,1],[5927614081,1],[5932542529,1],[5933466841,3],[5936240209,1],[5943330649,4],[5944564201,4],[5950116769,1],[5950733881,3],[5952585409,1],[5958450481,1],[5959994401,1],[5967408001,1],[5969262121,1],[5969571169,3],[5970498361,1],[5982558409,1],[5983177201,1],[5987200129,12],[5993701561,1],[5995559761,1],[6002685529,4],[6002995441,12],[6004545121,1],[6007645081,1],[6014157601,3],[6015088249,1],[6016018969,3],[6023467321,3],[6024398689,1],[6025019641,1],[6028124881,1],[6030920281,3],[6037134601,3],[6040864729,6],[6048639529,1],[6052995601,3],[6058909921,1],[6060466801,10],[6062646769,1],[6072929041,3],[6080412529,1],[6081348289,1],[6090397681,1],[6091646401,3],[6096330241,3],[6105390769,1],[6105703321,1],[6109454569,3],[6111017929,3],[6111956041,1],[6114145249,3],[6115709209,1],[6119776441,1],[6120402289,3],[6124471081,3],[6127288729,1],[6128228089,3],[6131046601,1],[6132612721,1],[6133552489,12],[6137312281,4],[6138252409,3],[6146716801,3],[6150794329,3],[6161779009,1],[6163977121,3],[6164919289,1],[6168688681,3],[6173087761,3],[6174344929,1],[6175287889,1],[6179060449,3],[6193217809,1],[6195736369,3],[6199515169,1],[6206130841,3],[6208021681,1],[6208967209,3],[6213065329,1],[6215587921,1],[6217795609,1],[6218426449,1],[6221581129,3],[6223158769,3],[6228208561,3],[6231681481,1],[6237682441,1],[6247795849,3],[6250957969,1],[6257284609,1],[6269630761,3],[6270580969,1],[6271531249,1],[6272798401,3],[6279136081,1],[6281989081,1],[6285794089,4],[6289917481,1],[6291503761,1],[6293724889,3],[6294359569,3],[6296263801,1],[6297533449,1],[6299120689,1],[6303248449,1],[6303883609,3],[6306106921,1],[6325179961,1],[6328043401,1],[6337592881,3],[6341096161,3],[6347149561,4],[6350655481,4],[6351611809,1],[6370753489,1],[6371711329,10],[6374904649,1],[6375543409,1],[6377779321,4],[6384169801,1],[6390883249,1],[6394721089,1],[6395680729,1],[6403360441,12],[6408162601,3],[6412325929,3],[6417131449,3],[6423862201,4],[6424503409,1],[6426747889,1],[6427709929,3],[6433162849,1],[6438297121,3],[6452748241,3],[6454676281,1],[6458211769,1],[6471719809,1],[6475903729,3],[6478479121,1],[6484597729,1],[6491041489,1],[6496198801,1],[6496843609,1],[6500713129,1],[6501035641,1],[6505551649,1],[6507487561,4],[6507810241,1],[6508778329,1],[6509423761,1],[6509746489,1],[6510391969,1],[6512651401,1],[6520078009,1],[6520401001,1],[6524923729,1],[6525246841,12],[6525893089,1],[6529124809,1],[6538824769,1],[6544324609,3],[6546266281,1],[6546589921,3],[6547560889,1],[6549503041,3],[6549699311,2],[6555007369,3],[6559218121,4],[6563106169,3],[6564078361,1],[6564726529,3],[6566022961,3],[6567967849,3],[6568616209,10],[6568940401,1],[6572507041,10],[6573479929,1],[6587432569,1],[6597175729,3],[6598800289,1],[6609527401,3],[6612913133,1],[6616683649,3],[6619286881,1],[6621565129,1],[6626122801,4],[6632310721,3],[6643717081,3],[6645021289,1],[6647630089,1],[6649913209,3],[6650891809,3],[6651870481,1],[6661661161,1],[6666232609,4],[6670152241,3],[6671132329,1],[6676033849,10],[6679302529,4],[6680937169,3],[6684861121,3],[6691076401,1],[6698931409,1],[6702533161,3],[6714655249,3],[6716294209,3],[6719572729,1],[6725148049,1],[6725476081,4],[6726132169,1],[6727444441,1],[6729084961,1],[6732366601,4],[6734992489,1],[6749115409,1],[6755031721,1],[6761937361,3],[6763582081,1],[6773454601,1],[6774442249,1],[6781687201,1],[6783334321,4],[6788606449,1],[6799156849,1],[6800146369,1],[6807405049,1],[6814337401,3],[6824246881,3],[6825899161,1],[6844087441,4],[6849052081,3],[6849714169,1],[6852693961,1],[6853687369,4],[6857992969,4],[6861968569,1],[6863625409,1],[6869835701,2],[6870586321,3],[6878877721,1],[6885846361,4],[6888502009,3],[6890494081,1],[6892818529,1],[6896804209,3],[6900791041,1],[6901787929,4],[6903781921,1],[6904446649,3],[6918413329,3],[6922739209,1],[6925401961,1],[6926733529,3],[6927732289,1],[6929397049,1],[6935089643,1],[6938723401,3],[6940722721,1],[6945388921,1],[6945722281,1],[6948389449,1],[6952724689,1],[6953725321,1],[6960731761,1],[6962734249,1],[6963735601,1],[6968409529,3],[6982774969,1],[6985449241,3],[6988458409,4],[6990464881,3],[6992471641,3],[6997824409,1],[6999497569,3],[7005857401,1],[7008536089,1],[7008870961,3],[7015905121,4],[7018585729,1],[7020931681,1],[7024618969,1],[7034009161,1],[7034680129,4],[7037699881,4],[7039713409,4],[7042734241,3],[7053144289,1],[7058856289,12],[7065915481,1],[7067260489,1],[7070959921,12],[7078025161,4],[7079034769,1],[7080044449,1],[7086440761,4],[7088124481,3],[7093176841,1],[7093513729,1],[7094524441,1],[7100253169,1],[7109356489,1],[7126905241,3],[7128593761,3],[7130620249,1],[7132984849,3],[7133998369,3],[7134674089,3],[7140757009,1],[7141771081,1],[7144137529,1],[7150224481,4],[7162406161,1],[7165453201,4],[7167146281,3],[7188835369,1],[7192566481,1],[7201049881,1],[7210217569,3],[7215992809,12],[7218371521,1],[7219391089,3],[7229590729,4],[7239797569,1],[7240478281,3],[7242520609,1],[7243541881,1],[7245584641,3],[7252055281,1],[7262959729,3],[7266369049,1],[7275578209,3],[7276601809,4],[7281379561,1],[7281720889,3],[7286841769,4],[7295038921,4],[7301189809,1],[7302215209,3],[7308027169,1],[7312473169,1],[7313157289,1],[7314183529,4],[7315551961,3],[7322396041,4],[7326846409,4],[7328558449,1],[7330613161,3],[7330955641,1],[7334038321,1],[7334723449,4],[7347404089,1],[7350147289,3],[7364557489,1],[7366960561,3],[7367990569,1],[7369020649,3],[7369707409,1],[7370050801,5],[7376920321,1],[7379325409,12],[7380356281,3],[7384136761,1],[7394452081,1],[7409249929,1],[7410282889,3],[7415104321,1],[7415448769,10],[7416137689,1],[7419582769,1],[7420616449,1],[7423717921,3],[7425441241,3],[7429922809,1],[7430612401,1],[7431991681,4],[7437165121,4],[7437855049,1],[7438890001,3],[7441305169,1],[7442340361,3],[7445446369,1],[7446136681,3],[7446481849,1],[7447172209,1],[7449588721,3],[7454768281,1],[7456495201,3],[7459604161,3],[7459949641,4],[7463059321,1],[7468934929,1],[7472046481,1],[7475504521,1],[7476542089,4],[7478271529,3],[7480693081,3],[7482423001,1],[7494884329,3],[7495923241,1],[7499386801,3],[7504237129,1],[7504583641,3],[7512902329,1],[7514982721,3],[7515676249,3],[7520184961,1],[7521919441,1],[7524348049,1],[7528512289,1],[7531289089,4],[7536496969,3],[7540664569,3],[7541706649,1],[7543096201,3],[7544138449,3],[7544833321,4],[7556651041,3],[7565694361,1],[7567782049,1],[7576135681,3],[7581359041,3],[7586932609,1],[7587629449,4],[7589720161,1],[7590068641,1],[7600526761,1],[7601572969,1],[7612737001,1],[7613086009,3],[7613784049,1],[7617274729,3],[7620067849,1],[7621115401,3],[7623559969,3],[7624258489,3],[7627751569,3],[7639284409,1],[7651525729,3],[7652925361,1],[7657825081,3],[7659225289,1],[7663076521,1],[7666228249,1],[7671482569,3],[7676037769,3],[7677790129,3],[7680944881,1],[7686204241,3],[7688308489,1],[7689711481,1],[7694622961,3],[7698132121,4],[7698834049,3],[7700238001,1],[7707610849,1],[7708313209,4],[7710771721,3],[7714635889,4],[7718149609,1],[7720961161,3],[7724124769,1],[7729398889,3],[7742416081,1],[7744176001,1],[7745232049,1],[7756148761,1],[7757910241,3],[7760376649,3],[7764605689,1],[7766720641,1],[7783297729,3],[7797066601,3],[7800599041,3],[7801658929,1],[7814029609,1],[7827117841,1],[7831011049,1],[7836321529,1],[7840571209,1],[7848010921,3],[7848365281,1],[7851200449,1],[7851554881,1],[7858999801,1],[7860063649,4],[7864319761,1],[7884196849,3],[7886683249,1],[7888459489,3],[7896277321,3],[7897343689,1],[7916293657,5],[7922602081,1],[7928299681,1],[7931149249,3],[7933286761,1],[7933643041,1],[7938988201,1],[7940057449,1],[7948257409,1],[7954677721,4],[7957175209,1],[7958245681,1],[7961457529,1],[7962171361,1],[7973239849,1],[7979670241,1],[7985745769,1],[7987175641,1],[7988005999,1],[7991108449,1],[7994684569,3],[8000050249,3],[8006133529,1],[8008639081,10],[8010429001,3],[8014009441,1],[8016158089,1],[8027622409,1],[8028697609,3],[8030131321,1],[8036054027,1],[8040529561,10],[8044116721,1],[8055601009,1],[8060987089,1],[8067452761,1],[8071045921,1],[8076077689,3],[8083628281,4],[8085066889,1],[8089023721,1],[8093341369,1],[8101260049,1],[8104140529,1],[8109542809,4],[8112064489,1],[8113145329,1],[8126842201,6],[8131169929,1],[8133694969,1],[8135498809,1],[8136581209,4],[8144521009,1],[8147409169,1],[8148853441,4],[8150658961,3],[8166917641,4],[8171617609,1],[8173425649,1],[8185363729,1],[8186811361,1],[8190069001,1],[8194413529,1],[8196224089,1],[8211440689,3],[8213978161,12],[8215790881,1],[8219054281,1],[8227034209,3],[8242279369,1],[8243368849,1],[8248817329,1],[8252087281,3],[8253177409,3],[8264809921,1],[8265900889,1],[8268446761,1],[8276814529,3],[8280454009,3],[8282638081,1],[8287007089,1],[8295384241,10],[8295748561,10],[8298663409,1],[8304130129,12],[8304494641,1],[8310692569,3],[8322730441,1],[8327110009,1],[8328393683,1],[8335142209,1],[8348294161,1],[8349025129,1],[8358164929,1],[8359993489,1],[8364748681,4],[8370969049,1],[8379754681,4],[8386346929,1],[8387445889,1],[8388911281,1],[8394407641,1],[8419347049,1],[8440648129,1],[8447264281,1],[8463448009,3],[8465656081,1],[8471545681,3],[8473386601,3],[8484436321,1],[8492175409,1],[8495861929,4],[8496599329,1],[8496968041,1],[8501393209,1],[8504712841,1],[8513568361,1],[8518736209,1],[8522428489,1],[8529076609,3],[8529815449,1],[8530923769,3],[8532032161,3],[8533510129,3],[8534618689,4],[8535357769,1],[8537575201,1],[8549036521,3],[8550146089,3],[8552365441,4],[8554215121,1],[8556805009,1],[8565687601,4],[8566798249,1],[8568649489,1],[8569019761,6],[8571241561,1],[8573463649,3],[8581984321,1],[8583466609,1],[8585319649,1],[8587914241,1],[8589767761,3],[8594587849,1],[8596442089,3],[8597554729,1],[8600151169,1],[8603119009,4],[8604603121,3],[8605716289,1],[8613510481,3],[8617594561,4],[8620936801,3],[8623536769,3],[8634312241,3],[8646582169,1],[8657744209,1],[8665561921,12],[8668168609,4],[8673755689,1],[8677108801,1],[8680462561,3],[8682326041,1],[8691646441,1],[8693884081,1],[8696122009,4],[8701718089,1],[8702464369,3],[8706196249,1],[8709182329,3],[8711795569,3],[8724867649,1],[8727109561,1],[8735332369,1],[8738697361,1],[8739819169,4],[8740567081,3],[8740941049,3],[8741689009,1],[8742811009,1],[8752163809,12],[8752912249,12],[8753286481,3],[8754034969,4],[8761147201,4],[8762270449,6],[8766389641,3],[8779877401,3],[8780064047,1],[8787000121,3],[8791500169,3],[8796001369,3],[8811764641,3],[8814768769,1],[8815144321,4],[8819275921,3],[8819651569,1],[8824159969,1],[8824911481,4],[8832052441,1],[8846719249,1],[8847847969,4],[8850858241,3],[8856503881,3],[8856880321,1],[8864787409,3],[8867800561,1],[8877219961,3],[8879104441,1],[8885136121,3],[8890792681,3],[8893810249,1],[8896451041,1],[8898337561,3],[8900601649,1],[8902111201,1],[8907395641,3],[8910793609,1],[8911171201,1],[8923258369,3],[8927037289,3],[8936109961,3],[8938378849,1],[8941404481,1],[8948592409,3],[8951619769,1],[8958811801,3],[8969794681,1],[8982679729,4],[8983437961,4],[8984954521,1],[9011897441,1],[9015692401,1],[9017591521,3],[9025570009,1],[9026710081,1],[9028990441,1],[9036973969,4],[9038495041,3],[9041537569,1],[9044200201,1],[9049907161,1],[9052190449,1],[9054093409,4],[9073896049,1],[9074658121,4],[9075801289,1],[9079612369,3],[9085330489,1],[9095246161,1],[9099824449,4],[9103640569,3],[9104785561,1],[9106694041,12],[9108984481,3],[9112802521,1],[9114711841,3],[9116230969,1],[9116239441,12],[9117003289,1],[9121587049,1],[9129611401,3],[9142610689,1],[9143375641,4],[9145670689,3],[9149113801,3],[9158681401,1],[9160978369,3],[9161744089,10],[9162892729,1],[9175532521,3],[9175915681,4],[9193166161,1],[9195083881,3],[9200070889,3],[9202373041,1],[9205826809,4],[9208129681,1],[9210432841,3],[9213504169,3],[9242322769,1],[9250400041,1],[9250784761,3],[9258480841,3],[9265795081,3],[9280817569,1],[9288526129,1],[9293152801,1],[9302795401,3],[9303952849,3],[9306267961,12],[9308197441,1],[9309741169,3],[9317461729,1],[9329048569,1],[9331753201,4],[9339869449,1],[9343348921,1],[9345282241,1],[9351470209,1],[9358434121,1],[9360369001,1],[9367723369,4],[9369659209,1],[9374693329,1],[9379341409,3],[9380116201,1],[9391741921,1],[9403762729,4],[9413074441,1],[9416567521,1],[9423167329,1],[9424720561,1],[9428992609,1],[9431711689,1],[9439871281,1],[9443369329,3],[9445312969,4],[9450367369,1],[9453867361,3],[9455812081,3],[9463982089,3],[9467484601,1],[9481501129,1],[9483059161,3],[9484227769,1],[9486175609,1],[9491240929,3],[9498256681,3],[9506055001,1],[9510735529,1],[9516587809,3],[9521270929,1],[9521661241,1],[9528297769,3],[9535717801,1],[9540014929,1],[9542749969,1],[9550957441,3],[9562297369,3],[9562688521,1],[9574035409,3],[9574426801,1],[9576775321,1],[9578732641,1],[9589697329,4],[9592831249,4],[9598708729,4],[9601452169,1],[9606156121,3],[9607332289,1],[9615175249,3],[9623806201,1],[9628123129,1],[9639116041,3],[9644614849,1],[9645793369,3],[9647364841,1],[9648543529,1],[9656796361,1],[9666232489,1],[9667019041,1],[9667412329,1],[9678034129,1],[9684724921,1],[9686299561,1],[9694174681,3],[9703629049,1],[9705993361,4],[9708752089,3],[9721368409,1],[9726101641,1],[9739518721,1],[9743861521,1],[9747810361,3],[9759185353,1],[9768752569,1],[9775079161,3],[9778638769,3],[9781012201,3],[9783385921,1],[9786551329,1],[9788925721,3],[9790508809,12],[9797238361,3],[9799614049,1],[9811496809,1],[9818629921,1],[9822593881,1],[9824576161,1],[9835283929,3],[9841618207,1],[9847188289,1],[9863866489,1],[9869826409,1],[9873800689,3],[9879763609,12],[9888114721,3],[9894081961,1],[9899653009,3],[9904827529,1],[9905623729,3],[9906021841,3],[9910401601,1],[9912790969,1],[9915578929,1],[9916375561,3],[9922351321,4],[9935903041,3],[9941485849,1],[9941884681,1],[9942682369,3],[9944277841,1],[9965829241,1],[9974216641,3],[9975415129,3],[9976214161,3],[9985805041,3],[9992201521,3]],\"total_known_prime_ideals\":664464,\"total_unknown_higher_degree_prime_ideals\":9589,\"sha256_complete_known_norm_count_stream\":\"5bf750889b7397e552157ebb9704e78827995d7c496abec0777d67cdf959634e\",\"checked_bad_prime_residue_degrees\":{\"2\":[3],\"3\":[3,12,12],\"157\":[3,6,6,6],\"64679\":[1,5,5,5,5],\"333337\":[1,1,1,1,1,1,1,1,1,3,3,3,3,3,3]},\"seconds\":27.27293084900066}\n" }, { "path": "anc/code/1.1.1/data/3723_strict_window.json", "size_bytes": 2418, "sha256": "f61da70c84b7900329a4fd144fb1555777d60118c987b6385c31fccb2d771678", "mode": 420, "encoding": "utf-8", "text": "{\n \"index\": 3723,\n \"principal_cutoff\": 10000000,\n \"census_end\": 110000000,\n \"support\": 10000000000,\n \"refined\": false,\n \"numerical_B\": 0.02669177164848071,\n \"heights\": [\n 898147503,\n 1326383097,\n 1729188799,\n 2128869300,\n 2527427232,\n 2924060943,\n 3317389742,\n 3705949733,\n 4088329867,\n 4463266886,\n 4830313455,\n 5191124456,\n 5540423287,\n 5876154288,\n 6198175006,\n 6505807310,\n 6798595406,\n 7078042668,\n 7343805295,\n 7595950391,\n 7832700478,\n 8053219327,\n 8256770475,\n 8443678670,\n 8612718256,\n 8762366124,\n 8895304834,\n 9017794483,\n 9129388003,\n 9233458161,\n 9330142718,\n 9418060831,\n 9497899356,\n 9571457421,\n 9635937031,\n 9692338214,\n 9740928517,\n 9782524287,\n 9816547885,\n 9842575646,\n 9864982562,\n 9884307044,\n 9901239962,\n 9915933866,\n 9928696128,\n 9939648134,\n 9949476258,\n 9958048109,\n 9965407139,\n 9971527771,\n 9977138334,\n 9981889766,\n 9985620967,\n 9988811919,\n 9991415406,\n 9993424055,\n 9995172421,\n 9996663938,\n 9997710390,\n 9998415443,\n 9998867531,\n 9999395106,\n 9999709245,\n 10000000000,\n 10000000000,\n 9999709245,\n 9999395106,\n 9998867531,\n 9998415443,\n 9997710390,\n 9996663938,\n 9995172421,\n 9993424055,\n 9991415406,\n 9988811919,\n 9985620967,\n 9981889766,\n 9977138334,\n 9971527771,\n 9965407139,\n 9958048109,\n 9949476258,\n 9939648134,\n 9928696128,\n 9915933866,\n 9901239962,\n 9884307044,\n 9864982562,\n 9842575646,\n 9816547885,\n 9782524287,\n 9740928517,\n 9692338214,\n 9635937031,\n 9571457421,\n 9497899356,\n 9418060831,\n 9330142718,\n 9233458161,\n 9129388003,\n 9017794483,\n 8895304834,\n 8762366124,\n 8612718256,\n 8443678670,\n 8256770475,\n 8053219327,\n 7832700478,\n 7595950391,\n 7343805295,\n 7078042668,\n 6798595406,\n 6505807310,\n 6198175006,\n 5876154288,\n 5540423287,\n 5191124456,\n 4830313455,\n 4463266886,\n 4088329867,\n 3705949733,\n 3317389742,\n 2924060943,\n 2527427232,\n 2128869300,\n 1729188799,\n 1326383097,\n 898147503\n ],\n \"rootcount_character_lower_bound\": {\n \"0\": 0,\n \"1\": -1,\n \"2\": -2,\n \"3\": -3,\n \"4\": -3,\n \"5\": -3,\n \"7\": -5,\n \"9\": -3,\n \"11\": -5,\n \"15\": -5,\n \"27\": -5\n }\n}\n" }, { "path": "anc/code/1.1.1/data/classgroup_params.json", "size_bytes": 2020, "sha256": "1a7b5f7d8cf8ae42fe922f391cdcf6b3fae51199a85000d5386951f21243278a", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4-y^3-x+y=0\",\n \"section\": \"1.1.1\",\n \"note\": \"Witnesses and counts only: the bound of 1.1.1 is the strict-character criterion (1.1.1f_strict_window.py), not bound.py.\",\n \"polynomial\": \"x^27-480*x^19-1344*x^18-34560*x^11+70656*x^10-40704*x^9+16384*x^3-12288*x-4096\",\n \"field_discriminant\": \"18394906743257121277769499404528301613431352459264\",\n \"signature\": [3, 12],\n \"principal_bound\": 10000000,\n \"support\": 10000000000,\n \"window_heights\": [898147503, 1326383097, 1729188799, 2128869300, 2527427232, 2924060943, 3317389742, 3705949733, 4088329867, 4463266886, 4830313455, 5191124456, 5540423287, 5876154288, 6198175006, 6505807310, 6798595406, 7078042668, 7343805295, 7595950391, 7832700478, 8053219327, 8256770475, 8443678670, 8612718256, 8762366124, 8895304834, 9017794483, 9129388003, 9233458161, 9330142718, 9418060831, 9497899356, 9571457421, 9635937031, 9692338214, 9740928517, 9782524287, 9816547885, 9842575646, 9864982562, 9884307044, 9901239962, 9915933866, 9928696128, 9939648134, 9949476258, 9958048109, 9965407139, 9971527771, 9977138334, 9981889766, 9985620967, 9988811919, 9991415406, 9993424055, 9995172421, 9996663938, 9997710390, 9998415443, 9998867531, 9999395106, 9999709245, 10000000000, 10000000000, 9999709245, 9999395106, 9998867531, 9998415443, 9997710390, 9996663938, 9995172421, 9993424055, 9991415406, 9988811919, 9985620967, 9981889766, 9977138334, 9971527771, 9965407139, 9958048109, 9949476258, 9939648134, 9928696128, 9915933866, 9901239962, 9884307044, 9864982562, 9842575646, 9816547885, 9782524287, 9740928517, 9692338214, 9635937031, 9571457421, 9497899356, 9418060831, 9330142718, 9233458161, 9129388003, 9017794483, 8895304834, 8762366124, 8612718256, 8443678670, 8256770475, 8053219327, 7832700478, 7595950391, 7343805295, 7078042668, 6798595406, 6505807310, 6198175006, 5876154288, 5540423287, 5191124456, 4830313455, 4463266886, 4088329867, 3705949733, 3317389742, 2924060943, 2527427232, 2128869300, 1729188799, 1326383097, 898147503],\n \"precision_bits\": 224\n}\n" }, { "path": "anc/code/1.1.1/data/sieve/sieve_data_109.json", "size_bytes": 5889, "sha256": "1da2f6e5827026a1f0930f36190ee74601db87ba3b6a75fedfecdfccb076734c", "mode": 420, "encoding": "utf-8", "text": "{\"q\": 109, \"N\": 1303500, \"v\": {\"2\": 2, \"3\": 1, \"5\": 3}, \"tables\": {\"2\": [[1, 1, 2], [2, 2, 3], [3, 3, 0], [0, 0, 1]], \"3\": [[1, 2, 1], [2, 0, 2], [0, 1, 0]], \"5\": [[1, 2, 3], [4, 5, 6], [5, 7, 8], [6, 8, 9], [10, 11, 12], [11, 13, 14], [12, 14, 15], [13, 16, 17], [14, 17, 18], [15, 18, 19], [20, 21, 22], [21, 23, 24], [22, 24, 25], [23, 26, 27], [24, 27, 28], [25, 28, 29], [26, 30, 31], [27, 31, 10], [28, 10, 32], [29, 32, 33], [34, 35, 36], [35, 37, 38], [36, 38, 39], [37, 40, 41], [38, 41, 42], [39, 42, 43], [40, 44, 45], [41, 45, 20], [42, 20, 46], [43, 46, 47], [44, 48, 49], [45, 49, 21], [46, 22, 50], [47, 50, 51], [52, 53, 54], [53, 55, 56], [54, 56, 57], [55, 58, 59], [56, 59, 60], [57, 60, 61], [58, 62, 63], [59, 63, 34], [60, 34, 64], [61, 64, 65], [62, 0, 66], [63, 66, 35], [64, 36, 67], [65, 67, 68], [0, 69, 70], [66, 70, 37], [67, 39, 71], [68, 71, 72], [73, 74, 75], [74, 76, 77], [75, 77, 78], [76, 9, 79], [77, 79, 80], [78, 80, 81], [9, 82, 83], [79, 83, 52], [80, 52, 84], [81, 84, 85], [82, 1, 86], [83, 86, 53], [84, 54, 87], [85, 87, 88], [86, 3, 55], [87, 57, 89], [88, 89, 90], [2, 91, 92], [3, 92, 58], [89, 61, 93], [90, 93, 16], [94, 33, 95], [33, 96, 97], [95, 97, 98], [96, 15, 99], [97, 99, 100], [98, 100, 101], [99, 19, 73], [100, 73, 102], [101, 102, 103], [18, 4, 104], [19, 104, 74], [102, 75, 105], [103, 105, 48], [104, 6, 76], [105, 78, 106], [48, 106, 107], [106, 81, 108], [107, 108, 26], [7, 109, 110], [8, 110, 82], [108, 85, 30], [111, 47, 112], [112, 51, 113], [50, 25, 114], [51, 114, 115], [113, 115, 91], [114, 29, 94], [115, 94, 116], [91, 116, 117], [116, 95, 118], [117, 118, 0], [32, 12, 96], [118, 98, 69], [69, 101, 119], [70, 119, 40], [119, 103, 44], [16, 120, 121], [17, 121, 4], [93, 65, 120], [120, 68, 122], [122, 72, 7], [71, 43, 111], [72, 111, 109], [109, 112, 123], [110, 123, 1], [123, 113, 2], [92, 117, 62], [30, 88, 124], [31, 124, 11], [124, 90, 13], [121, 122, 5], [49, 107, 23]]}, \"points\": {\"0,0\": {\"2\": 1, \"3\": 1, \"5\": 1}, \"0,1\": {\"2\": 1, \"3\": 1, \"5\": 85}, \"0,108\": {\"2\": 2, \"3\": 1, \"5\": 3}, \"2,61\": {\"2\": 1, \"3\": 2, \"5\": 109}, \"3,88\": {\"2\": 3, \"3\": 1, \"5\": 65}, \"5,3\": {\"2\": 1, \"3\": 0, \"5\": 94}, \"6,2\": {\"2\": 2, \"3\": 2, \"5\": 11}, \"9,75\": {\"2\": 3, \"3\": 0, \"5\": 66}, \"10,48\": {\"2\": 3, \"3\": 2, \"5\": 48}, \"13,39\": {\"2\": 1, \"3\": 2, \"5\": 62}, \"14,16\": {\"2\": 2, \"3\": 2, \"5\": 18}, \"14,30\": {\"2\": 0, \"3\": 1, \"5\": 59}, \"14,63\": {\"2\": 2, \"3\": 0, \"5\": 34}, \"15,23\": {\"2\": 1, \"3\": 2, \"5\": 25}, \"16,9\": {\"2\": 2, \"3\": 1, \"5\": 56}, \"16,24\": {\"2\": 3, \"3\": 0, \"5\": 45}, \"16,76\": {\"2\": 3, \"3\": 2, \"5\": 32}, \"17,45\": {\"2\": 0, \"3\": 1, \"5\": 122}, \"18,19\": {\"2\": 1, \"3\": 1, \"5\": 75}, \"19,3\": {\"2\": 0, \"3\": 0, \"5\": 59}, \"20,6\": {\"2\": 1, \"3\": 1, \"5\": 110}, \"20,41\": {\"2\": 1, \"3\": 1, \"5\": 80}, \"20,62\": {\"2\": 2, \"3\": 1, \"5\": 34}, \"22,91\": {\"2\": 3, \"3\": 2, \"5\": 57}, \"24,96\": {\"2\": 0, \"3\": 0, \"5\": 72}, \"25,2\": {\"2\": 0, \"3\": 0, \"5\": 100}, \"26,42\": {\"2\": 2, \"3\": 2, \"5\": 121}, \"27,70\": {\"2\": 2, \"3\": 0, \"5\": 94}, \"29,17\": {\"2\": 0, \"3\": 2, \"5\": 87}, \"29,99\": {\"2\": 0, \"3\": 0, \"5\": 74}, \"29,102\": {\"2\": 0, \"3\": 1, \"5\": 118}, \"31,14\": {\"2\": 0, \"3\": 0, \"5\": 54}, \"32,12\": {\"2\": 2, \"3\": 0, \"5\": 22}, \"34,75\": {\"2\": 0, \"3\": 0, \"5\": 2}, \"38,96\": {\"2\": 3, \"3\": 1, \"5\": 11}, \"39,23\": {\"2\": 0, \"3\": 0, \"5\": 19}, \"40,33\": {\"2\": 2, \"3\": 1, \"5\": 112}, \"40,85\": {\"2\": 1, \"3\": 2, \"5\": 123}, \"40,100\": {\"2\": 1, \"3\": 0, \"5\": 12}, \"41,20\": {\"2\": 3, \"3\": 0, \"5\": 8}, \"41,69\": {\"2\": 2, \"3\": 0, \"5\": 68}, \"42,107\": {\"2\": 2, \"3\": 0, \"5\": 50}, \"44,33\": {\"2\": 0, \"3\": 1, \"5\": 59}, \"44,85\": {\"2\": 0, \"3\": 2, \"5\": 83}, \"44,100\": {\"2\": 0, \"3\": 0, \"5\": 83}, \"45,94\": {\"2\": 2, \"3\": 2, \"5\": 14}, \"46,0\": {\"2\": 1, \"3\": 2, \"5\": 30}, \"46,1\": {\"2\": 3, \"3\": 2, \"5\": 79}, \"46,108\": {\"2\": 0, \"3\": 2, \"5\": 94}, \"47,39\": {\"2\": 3, \"3\": 1, \"5\": 2}, \"48,57\": {\"2\": 3, \"3\": 1, \"5\": 94}, \"53,106\": {\"2\": 3, \"3\": 0, \"5\": 53}, \"56,19\": {\"2\": 2, \"3\": 2, \"5\": 83}, \"57,16\": {\"2\": 2, \"3\": 0, \"5\": 100}, \"57,30\": {\"2\": 0, \"3\": 0, \"5\": 15}, \"57,63\": {\"2\": 2, \"3\": 0, \"5\": 124}, \"58,64\": {\"2\": 2, \"3\": 1, \"5\": 97}, \"59,26\": {\"2\": 2, \"3\": 0, \"5\": 0}, \"60,37\": {\"2\": 0, \"3\": 0, \"5\": 4}, \"61,101\": {\"2\": 3, \"3\": 0, \"5\": 81}, \"64,0\": {\"2\": 1, \"3\": 1, \"5\": 0}, \"64,1\": {\"2\": 2, \"3\": 2, \"5\": 54}, \"64,108\": {\"2\": 1, \"3\": 0, \"5\": 74}, \"66,90\": {\"2\": 3, \"3\": 1, \"5\": 83}, \"68,96\": {\"2\": 2, \"3\": 1, \"5\": 90}, \"69,54\": {\"2\": 1, \"3\": 1, \"5\": 5}, \"70,54\": {\"2\": 0, \"3\": 0, \"5\": 33}, \"71,91\": {\"2\": 1, \"3\": 1, \"5\": 80}, \"73,26\": {\"2\": 2, \"3\": 1, \"5\": 43}, \"74,25\": {\"2\": 1, \"3\": 1, \"5\": 1}, \"76,73\": {\"2\": 0, \"3\": 1, \"5\": 10}, \"77,27\": {\"2\": 3, \"3\": 2, \"5\": 81}, \"77,32\": {\"2\": 1, \"3\": 1, \"5\": 51}, \"77,50\": {\"2\": 0, \"3\": 0, \"5\": 57}, \"79,7\": {\"2\": 3, \"3\": 2, \"5\": 55}, \"79,10\": {\"2\": 1, \"3\": 1, \"5\": 13}, \"79,92\": {\"2\": 0, \"3\": 0, \"5\": 71}, \"80,105\": {\"2\": 1, \"3\": 1, \"5\": 41}, \"81,20\": {\"2\": 0, \"3\": 2, \"5\": 35}, \"81,69\": {\"2\": 0, \"3\": 2, \"5\": 32}, \"82,56\": {\"2\": 1, \"3\": 1, \"5\": 108}, \"84,51\": {\"2\": 2, \"3\": 0, \"5\": 105}, \"84,80\": {\"2\": 2, \"3\": 1, \"5\": 6}, \"84,87\": {\"2\": 0, \"3\": 2, \"5\": 44}, \"85,64\": {\"2\": 3, \"3\": 2, \"5\": 5}, \"86,81\": {\"2\": 2, \"3\": 0, \"5\": 113}, \"87,38\": {\"2\": 3, \"3\": 0, \"5\": 86}, \"88,96\": {\"2\": 3, \"3\": 1, \"5\": 11}, \"89,73\": {\"2\": 0, \"3\": 0, \"5\": 65}, \"90,46\": {\"2\": 0, \"3\": 0, \"5\": 14}, \"90,79\": {\"2\": 0, \"3\": 2, \"5\": 78}, \"90,93\": {\"2\": 0, \"3\": 1, \"5\": 23}, \"91,7\": {\"2\": 3, \"3\": 0, \"5\": 16}, \"91,10\": {\"2\": 0, \"3\": 1, \"5\": 25}, \"91,92\": {\"2\": 1, \"3\": 2, \"5\": 75}, \"93,49\": {\"2\": 0, \"3\": 0, \"5\": 81}, \"93,65\": {\"2\": 0, \"3\": 2, \"5\": 71}, \"93,104\": {\"2\": 0, \"3\": 1, \"5\": 67}, \"97,55\": {\"2\": 3, \"3\": 2, \"5\": 98}, \"98,106\": {\"2\": 1, \"3\": 0, \"5\": 18}, \"100,98\": {\"2\": 3, \"3\": 1, \"5\": 118}, \"101,57\": {\"2\": 2, \"3\": 0, \"5\": 33}, \"102,13\": {\"2\": 1, \"3\": 2, \"5\": 6}, \"103,48\": {\"2\": 1, \"3\": 0, \"5\": 94}, \"107,55\": {\"2\": 0, \"3\": 2, \"5\": 124}, \"108,0\": {\"2\": 1, \"3\": 2, \"5\": 2}, \"108,1\": {\"2\": 2, \"3\": 1, \"5\": 18}, \"108,108\": {\"2\": 1, \"3\": 0, \"5\": 68}, \"O\": {\"2\": 0, \"3\": 0, \"5\": 0}}}" }, { "path": "anc/code/1.1.1/data/sieve/sieve_data_233.json", "size_bytes": 8759, "sha256": "aa2ac6c13286d7d6c63899f86d956eec027dc99e166f1d2329da6b76bb7d05ac", "mode": 420, "encoding": "utf-8", "text": "{\"q\": 233, \"N\": 14102424, \"v\": {\"2\": 3, \"3\": 4, \"5\": 0}, \"tables\": {\"2\": [[1, 2, 3], [0, 4, 5], [4, 0, 6], [5, 6, 0], [2, 1, 7], [3, 7, 1], [7, 3, 2], [6, 5, 4]], \"3\": [[1, 2, 3], [4, 5, 6], [5, 7, 8], [6, 8, 9], [10, 11, 12], [11, 13, 14], [12, 14, 15], [13, 16, 17], [14, 17, 18], [15, 18, 19], [20, 21, 22], [21, 23, 24], [22, 24, 25], [23, 26, 27], [24, 27, 28], [25, 28, 29], [26, 30, 31], [27, 31, 32], [28, 32, 33], [29, 33, 13], [34, 35, 36], [35, 37, 38], [36, 38, 39], [37, 40, 0], [38, 0, 41], [39, 41, 42], [40, 43, 44], [0, 44, 45], [41, 45, 46], [42, 46, 23], [43, 47, 48], [44, 48, 34], [45, 34, 49], [46, 49, 26], [50, 51, 52], [51, 53, 54], [52, 54, 47], [53, 55, 1], [54, 1, 56], [47, 56, 57], [55, 58, 2], [56, 3, 59], [57, 59, 37], [58, 60, 61], [2, 61, 50], [3, 50, 62], [59, 62, 40], [60, 63, 64], [61, 64, 51], [62, 52, 43], [8, 65, 66], [65, 67, 68], [66, 68, 60], [67, 69, 4], [68, 4, 63], [69, 19, 5], [63, 6, 70], [64, 70, 53], [19, 71, 7], [70, 9, 55], [71, 72, 73], [7, 73, 65], [9, 66, 58], [72, 12, 74], [73, 74, 67], [17, 75, 76], [18, 76, 71], [75, 77, 10], [76, 10, 72], [77, 29, 11], [74, 15, 69], [33, 78, 16], [78, 22, 79], [16, 79, 75], [79, 25, 77], [31, 80, 20], [32, 20, 78], [80, 42, 21], [49, 36, 30], [30, 39, 80], [48, 57, 35]]}, \"points\": {\"0,0\": {\"2\": 1, \"3\": 1}, \"0,1\": {\"2\": 5, \"3\": 13}, \"0,232\": {\"2\": 3, \"3\": 3}, \"3,206\": {\"2\": 0, \"3\": 17}, \"5,104\": {\"2\": 2, \"3\": 45}, \"7,11\": {\"2\": 7, \"3\": 38}, \"7,83\": {\"2\": 4, \"3\": 67}, \"7,139\": {\"2\": 3, \"3\": 10}, \"8,141\": {\"2\": 3, \"3\": 15}, \"8,161\": {\"2\": 5, \"3\": 2}, \"8,164\": {\"2\": 1, \"3\": 55}, \"9,70\": {\"2\": 0, \"3\": 8}, \"10,77\": {\"2\": 3, \"3\": 35}, \"12,18\": {\"2\": 4, \"3\": 28}, \"12,25\": {\"2\": 4, \"3\": 30}, \"12,190\": {\"2\": 0, \"3\": 68}, \"13,12\": {\"2\": 6, \"3\": 22}, \"13,85\": {\"2\": 2, \"3\": 68}, \"13,136\": {\"2\": 3, \"3\": 42}, \"15,195\": {\"2\": 1, \"3\": 30}, \"16,195\": {\"2\": 6, \"3\": 0}, \"19,62\": {\"2\": 3, \"3\": 38}, \"20,173\": {\"2\": 2, \"3\": 41}, \"21,24\": {\"2\": 6, \"3\": 60}, \"22,5\": {\"2\": 0, \"3\": 55}, \"22,81\": {\"2\": 5, \"3\": 16}, \"22,147\": {\"2\": 5, \"3\": 57}, \"23,115\": {\"2\": 4, \"3\": 61}, \"24,151\": {\"2\": 0, \"3\": 43}, \"25,47\": {\"2\": 3, \"3\": 4}, \"29,94\": {\"2\": 0, \"3\": 50}, \"29,150\": {\"2\": 6, \"3\": 66}, \"29,222\": {\"2\": 6, \"3\": 73}, \"30,56\": {\"2\": 7, \"3\": 1}, \"31,4\": {\"2\": 0, \"3\": 15}, \"33,114\": {\"2\": 6, \"3\": 15}, \"34,40\": {\"2\": 2, \"3\": 51}, \"35,171\": {\"2\": 5, \"3\": 70}, \"36,169\": {\"2\": 6, \"3\": 27}, \"38,181\": {\"2\": 7, \"3\": 40}, \"39,6\": {\"2\": 6, \"3\": 1}, \"39,45\": {\"2\": 5, \"3\": 42}, \"39,182\": {\"2\": 4, \"3\": 49}, \"40,129\": {\"2\": 2, \"3\": 69}, \"41,28\": {\"2\": 2, \"3\": 5}, \"41,33\": {\"2\": 6, \"3\": 17}, \"41,172\": {\"2\": 3, \"3\": 38}, \"42,6\": {\"2\": 6, \"3\": 71}, \"42,45\": {\"2\": 4, \"3\": 6}, \"42,182\": {\"2\": 5, \"3\": 56}, \"44,185\": {\"2\": 5, \"3\": 62}, \"45,226\": {\"2\": 3, \"3\": 27}, \"46,112\": {\"2\": 2, \"3\": 13}, \"47,156\": {\"2\": 4, \"3\": 77}, \"48,63\": {\"2\": 0, \"3\": 54}, \"50,30\": {\"2\": 6, \"3\": 20}, \"50,213\": {\"2\": 6, \"3\": 46}, \"50,223\": {\"2\": 0, \"3\": 60}, \"51,133\": {\"2\": 6, \"3\": 37}, \"52,204\": {\"2\": 6, \"3\": 47}, \"53,43\": {\"2\": 1, \"3\": 76}, \"53,208\": {\"2\": 1, \"3\": 78}, \"53,215\": {\"2\": 0, \"3\": 33}, \"54,151\": {\"2\": 3, \"3\": 75}, \"56,41\": {\"2\": 1, \"3\": 0}, \"57,98\": {\"2\": 5, \"3\": 56}, \"58,51\": {\"2\": 5, \"3\": 38}, \"58,188\": {\"2\": 3, \"3\": 53}, \"58,227\": {\"2\": 1, \"3\": 20}, \"59,61\": {\"2\": 2, \"3\": 54}, \"59,200\": {\"2\": 3, \"3\": 13}, \"59,205\": {\"2\": 6, \"3\": 50}, \"60,176\": {\"2\": 5, \"3\": 34}, \"64,40\": {\"2\": 6, \"3\": 77}, \"65,109\": {\"2\": 7, \"3\": 33}, \"66,80\": {\"2\": 6, \"3\": 79}, \"70,217\": {\"2\": 6, \"3\": 79}, \"71,138\": {\"2\": 5, \"3\": 24}, \"72,112\": {\"2\": 5, \"3\": 19}, \"74,119\": {\"2\": 5, \"3\": 54}, \"76,65\": {\"2\": 7, \"3\": 37}, \"76,78\": {\"2\": 7, \"3\": 27}, \"76,90\": {\"2\": 0, \"3\": 3}, \"77,10\": {\"2\": 2, \"3\": 56}, \"77,20\": {\"2\": 3, \"3\": 38}, \"77,203\": {\"2\": 6, \"3\": 30}, \"78,126\": {\"2\": 5, \"3\": 2}, \"78,144\": {\"2\": 0, \"3\": 41}, \"78,196\": {\"2\": 5, \"3\": 23}, \"79,119\": {\"2\": 7, \"3\": 51}, \"80,11\": {\"2\": 0, \"3\": 79}, \"80,83\": {\"2\": 0, \"3\": 52}, \"80,139\": {\"2\": 0, \"3\": 3}, \"81,93\": {\"2\": 4, \"3\": 10}, \"82,110\": {\"2\": 3, \"3\": 17}, \"82,125\": {\"2\": 3, \"3\": 54}, \"82,231\": {\"2\": 0, \"3\": 2}, \"83,35\": {\"2\": 5, \"3\": 2}, \"86,142\": {\"2\": 7, \"3\": 28}, \"86,146\": {\"2\": 0, \"3\": 40}, \"86,178\": {\"2\": 7, \"3\": 1}, \"88,206\": {\"2\": 2, \"3\": 56}, \"89,69\": {\"2\": 7, \"3\": 75}, \"89,72\": {\"2\": 2, \"3\": 50}, \"89,92\": {\"2\": 5, \"3\": 50}, \"90,143\": {\"2\": 0, \"3\": 0}, \"90,155\": {\"2\": 1, \"3\": 18}, \"90,168\": {\"2\": 1, \"3\": 69}, \"92,122\": {\"2\": 1, \"3\": 73}, \"93,37\": {\"2\": 2, \"3\": 60}, \"93,89\": {\"2\": 0, \"3\": 64}, \"93,107\": {\"2\": 2, \"3\": 5}, \"94,113\": {\"2\": 5, \"3\": 43}, \"94,162\": {\"2\": 2, \"3\": 32}, \"94,191\": {\"2\": 7, \"3\": 52}, \"95,28\": {\"2\": 7, \"3\": 52}, \"95,33\": {\"2\": 4, \"3\": 59}, \"95,172\": {\"2\": 3, \"3\": 22}, \"98,100\": {\"2\": 6, \"3\": 77}, \"99,186\": {\"2\": 7, \"3\": 25}, \"101,124\": {\"2\": 0, \"3\": 31}, \"102,124\": {\"2\": 6, \"3\": 78}, \"103,149\": {\"2\": 1, \"3\": 43}, \"104,94\": {\"2\": 0, \"3\": 3}, \"104,150\": {\"2\": 2, \"3\": 73}, \"104,222\": {\"2\": 2, \"3\": 68}, \"105,43\": {\"2\": 6, \"3\": 8}, \"105,208\": {\"2\": 4, \"3\": 62}, \"105,215\": {\"2\": 5, \"3\": 74}, \"109,5\": {\"2\": 7, \"3\": 68}, \"109,81\": {\"2\": 6, \"3\": 35}, \"109,147\": {\"2\": 1, \"3\": 11}, \"111,159\": {\"2\": 7, \"3\": 69}, \"112,26\": {\"2\": 4, \"3\": 13}, \"113,84\": {\"2\": 6, \"3\": 36}, \"114,61\": {\"2\": 6, \"3\": 7}, \"114,200\": {\"2\": 3, \"3\": 76}, \"114,205\": {\"2\": 2, \"3\": 34}, \"115,43\": {\"2\": 0, \"3\": 45}, \"115,208\": {\"2\": 4, \"3\": 73}, \"115,215\": {\"2\": 4, \"3\": 76}, \"118,82\": {\"2\": 5, \"3\": 77}, \"120,124\": {\"2\": 5, \"3\": 34}, \"121,219\": {\"2\": 3, \"3\": 65}, \"123,13\": {\"2\": 2, \"3\": 65}, \"123,103\": {\"2\": 7, \"3\": 59}, \"123,117\": {\"2\": 5, \"3\": 74}, \"124,204\": {\"2\": 1, \"3\": 29}, \"125,41\": {\"2\": 0, \"3\": 14}, \"128,99\": {\"2\": 1, \"3\": 38}, \"129,24\": {\"2\": 6, \"3\": 75}, \"130,204\": {\"2\": 6, \"3\": 53}, \"131,184\": {\"2\": 1, \"3\": 61}, \"132,180\": {\"2\": 1, \"3\": 71}, \"133,210\": {\"2\": 4, \"3\": 65}, \"134,101\": {\"2\": 6, \"3\": 20}, \"134,166\": {\"2\": 2, \"3\": 7}, \"134,199\": {\"2\": 3, \"3\": 32}, \"135,4\": {\"2\": 5, \"3\": 66}, \"136,15\": {\"2\": 5, \"3\": 8}, \"136,39\": {\"2\": 0, \"3\": 53}, \"136,179\": {\"2\": 5, \"3\": 8}, \"138,224\": {\"2\": 0, \"3\": 2}, \"139,17\": {\"2\": 0, \"3\": 67}, \"140,82\": {\"2\": 7, \"3\": 58}, \"141,22\": {\"2\": 7, \"3\": 48}, \"141,66\": {\"2\": 5, \"3\": 15}, \"141,145\": {\"2\": 2, \"3\": 67}, \"142,112\": {\"2\": 2, \"3\": 15}, \"143,124\": {\"2\": 4, \"3\": 69}, \"144,192\": {\"2\": 4, \"3\": 21}, \"145,88\": {\"2\": 2, \"3\": 67}, \"145,167\": {\"2\": 3, \"3\": 13}, \"145,211\": {\"2\": 6, \"3\": 49}, \"147,153\": {\"2\": 3, \"3\": 54}, \"149,11\": {\"2\": 4, \"3\": 17}, \"149,83\": {\"2\": 6, \"3\": 12}, \"149,139\": {\"2\": 5, \"3\": 23}, \"150,57\": {\"2\": 3, \"3\": 2}, \"151,207\": {\"2\": 5, \"3\": 4}, \"154,186\": {\"2\": 3, \"3\": 24}, \"155,84\": {\"2\": 5, \"3\": 25}, \"156,224\": {\"2\": 2, \"3\": 25}, \"159,149\": {\"2\": 3, \"3\": 67}, \"160,204\": {\"2\": 1, \"3\": 38}, \"162,104\": {\"2\": 7, \"3\": 32}, \"163,9\": {\"2\": 2, \"3\": 14}, \"164,5\": {\"2\": 2, \"3\": 61}, \"164,81\": {\"2\": 5, \"3\": 72}, \"164,147\": {\"2\": 7, \"3\": 2}, \"165,53\": {\"2\": 0, \"3\": 44}, \"171,5\": {\"2\": 5, \"3\": 62}, \"171,81\": {\"2\": 6, \"3\": 20}, \"171,147\": {\"2\": 4, \"3\": 43}, \"172,134\": {\"2\": 7, \"3\": 19}, \"175,109\": {\"2\": 3, \"3\": 80}, \"177,3\": {\"2\": 3, \"3\": 1}, \"177,102\": {\"2\": 6, \"3\": 2}, \"177,128\": {\"2\": 2, \"3\": 14}, \"180,201\": {\"2\": 2, \"3\": 63}, \"181,105\": {\"2\": 5, \"3\": 3}, \"181,131\": {\"2\": 5, \"3\": 73}, \"181,230\": {\"2\": 0, \"3\": 68}, \"183,142\": {\"2\": 7, \"3\": 63}, \"183,146\": {\"2\": 2, \"3\": 54}, \"183,178\": {\"2\": 5, \"3\": 74}, \"184,57\": {\"2\": 7, \"3\": 5}, \"186,12\": {\"2\": 1, \"3\": 38}, \"186,85\": {\"2\": 5, \"3\": 68}, \"186,136\": {\"2\": 3, \"3\": 77}, \"190,173\": {\"2\": 5, \"3\": 63}, \"191,137\": {\"2\": 6, \"3\": 30}, \"192,187\": {\"2\": 0, \"3\": 70}, \"193,43\": {\"2\": 7, \"3\": 43}, \"193,208\": {\"2\": 1, \"3\": 29}, \"193,215\": {\"2\": 6, \"3\": 53}, \"194,37\": {\"2\": 3, \"3\": 72}, \"194,89\": {\"2\": 2, \"3\": 63}, \"194,107\": {\"2\": 6, \"3\": 56}, \"195,80\": {\"2\": 5, \"3\": 77}, \"196,29\": {\"2\": 3, \"3\": 74}, \"197,201\": {\"2\": 0, \"3\": 17}, \"198,158\": {\"2\": 1, \"3\": 28}, \"199,127\": {\"2\": 4, \"3\": 25}, \"199,165\": {\"2\": 4, \"3\": 3}, \"199,174\": {\"2\": 0, \"3\": 62}, \"202,177\": {\"2\": 2, \"3\": 5}, \"203,183\": {\"2\": 6, \"3\": 19}, \"204,133\": {\"2\": 5, \"3\": 42}, \"206,112\": {\"2\": 5, \"3\": 6}, \"207,74\": {\"2\": 1, \"3\": 36}, \"208,22\": {\"2\": 0, \"3\": 58}, \"208,66\": {\"2\": 6, \"3\": 0}, \"208,145\": {\"2\": 6, \"3\": 25}, \"211,129\": {\"2\": 1, \"3\": 13}, \"212,44\": {\"2\": 5, \"3\": 71}, \"213,47\": {\"2\": 3, \"3\": 43}, \"214,126\": {\"2\": 1, \"3\": 54}, \"214,144\": {\"2\": 6, \"3\": 32}, \"214,196\": {\"2\": 7, \"3\": 40}, \"216,69\": {\"2\": 1, \"3\": 66}, \"216,72\": {\"2\": 5, \"3\": 76}, \"216,92\": {\"2\": 3, \"3\": 43}, \"217,127\": {\"2\": 2, \"3\": 2}, \"217,165\": {\"2\": 7, \"3\": 35}, \"217,174\": {\"2\": 5, \"3\": 32}, \"219,111\": {\"2\": 6, \"3\": 69}, \"220,56\": {\"2\": 3, \"3\": 16}, \"224,210\": {\"2\": 6, \"3\": 12}, \"226,31\": {\"2\": 2, \"3\": 15}, \"228,38\": {\"2\": 5, \"3\": 73}, \"229,153\": {\"2\": 7, \"3\": 10}, \"230,11\": {\"2\": 3, \"3\": 78}, \"230,83\": {\"2\": 5, \"3\": 26}, \"230,139\": {\"2\": 1, \"3\": 65}, \"232,0\": {\"2\": 2, \"3\": 2}, \"232,1\": {\"2\": 4, \"3\": 68}, \"232,232\": {\"2\": 1, \"3\": 65}, \"O\": {\"2\": 0, \"3\": 0}}}" }, { "path": "anc/code/1.1.1/data/sieve/sieve_data_277.json", "size_bytes": 12108, "sha256": "2316855b654c161070d6f11ec60f4d70c8639c4a5dd7e824116e277ce97b1014", "mode": 420, "encoding": "utf-8", "text": "{\"q\": 277, \"N\": 23117400, \"v\": {\"2\": 3, \"3\": 4, \"5\": 2}, \"tables\": {\"2\": [[1, 2, 3], [4, 3, 5], [3, 0, 1], [5, 1, 4], [6, 5, 7], [7, 4, 6], [2, 7, 0], [0, 6, 2]], \"3\": [[1, 2, 2], [3, 4, 4], [4, 5, 5], [6, 7, 7], [7, 8, 8], [8, 1, 1], [9, 10, 10], [10, 11, 11], [11, 3, 3], [12, 13, 13], [13, 14, 14], [14, 6, 6], [15, 16, 16], [16, 17, 17], [17, 9, 9], [18, 19, 19], [19, 20, 20], [20, 12, 12], [21, 22, 22], [22, 23, 23], [23, 15, 15], [0, 24, 24], [24, 25, 25], [25, 18, 18], [2, 26, 26], [26, 21, 21], [5, 0, 0]], \"5\": [[1, 2, 1], [3, 0, 3], [0, 4, 0], [5, 1, 5], [2, 6, 2], [7, 3, 7], [4, 8, 4], [9, 5, 9], [6, 10, 6], [11, 7, 11], [8, 12, 8], [13, 9, 13], [10, 14, 10], [15, 11, 15], [12, 16, 12], [17, 13, 17], [14, 18, 14], [19, 15, 19], [16, 20, 16], [21, 17, 21], [18, 22, 18], [23, 19, 23], [20, 24, 20], [24, 21, 24], [22, 23, 22]]}, \"points\": {\"0,0\": {\"2\": 1, \"3\": 1, \"5\": 1}, \"0,1\": {\"2\": 4, \"3\": 25, \"5\": 4}, \"0,276\": {\"2\": 3, \"3\": 2, \"5\": 1}, \"1,238\": {\"2\": 3, \"3\": 19, \"5\": 19}, \"3,241\": {\"2\": 5, \"3\": 21, \"5\": 17}, \"4,147\": {\"2\": 7, \"3\": -1, \"5\": 17}, \"6,226\": {\"2\": 6, \"3\": -1, \"5\": 7}, \"7,108\": {\"2\": 6, \"3\": -1, \"5\": 2}, \"7,188\": {\"2\": 6, \"3\": 12, \"5\": 22}, \"7,258\": {\"2\": 4, \"3\": -1, \"5\": 23}, \"8,185\": {\"2\": 1, \"3\": -1, \"5\": 1}, \"10,213\": {\"2\": 7, \"3\": -1, \"5\": 15}, \"11,166\": {\"2\": 2, \"3\": 8, \"5\": 18}, \"12,118\": {\"2\": 7, \"3\": -1, \"5\": 20}, \"12,199\": {\"2\": 5, \"3\": -1, \"5\": 9}, \"12,237\": {\"2\": 6, \"3\": -1, \"5\": 9}, \"15,185\": {\"2\": 7, \"3\": -1, \"5\": 9}, \"18,27\": {\"2\": 4, \"3\": -1, \"5\": 13}, \"19,152\": {\"2\": 7, \"3\": 21, \"5\": 22}, \"22,243\": {\"2\": 3, \"3\": -1, \"5\": 15}, \"24,58\": {\"2\": 7, \"3\": 25, \"5\": 19}, \"24,62\": {\"2\": 1, \"3\": -1, \"5\": 7}, \"24,157\": {\"2\": 0, \"3\": -1, \"5\": 21}, \"27,145\": {\"2\": 6, \"3\": -1, \"5\": 6}, \"27,167\": {\"2\": 4, \"3\": 16, \"5\": 5}, \"27,242\": {\"2\": 6, \"3\": -1, \"5\": 0}, \"28,229\": {\"2\": 2, \"3\": -1, \"5\": 20}, \"30,69\": {\"2\": 4, \"3\": 20, \"5\": 11}, \"31,163\": {\"2\": 2, \"3\": -1, \"5\": 5}, \"33,136\": {\"2\": 2, \"3\": 9, \"5\": 15}, \"33,193\": {\"2\": 0, \"3\": -1, \"5\": 15}, \"33,225\": {\"2\": 2, \"3\": -1, \"5\": 17}, \"35,210\": {\"2\": 5, \"3\": 5, \"5\": 8}, \"37,29\": {\"2\": 5, \"3\": -1, \"5\": 6}, \"38,208\": {\"2\": 0, \"3\": -1, \"5\": 4}, \"39,3\": {\"2\": 6, \"3\": -1, \"5\": 3}, \"39,80\": {\"2\": 2, \"3\": -1, \"5\": 19}, \"39,194\": {\"2\": 1, \"3\": -1, \"5\": 24}, \"40,275\": {\"2\": 4, \"3\": -1, \"5\": 5}, \"41,49\": {\"2\": 7, \"3\": -1, \"5\": 15}, \"41,179\": {\"2\": 4, \"3\": -1, \"5\": 17}, \"44,20\": {\"2\": 6, \"3\": 4, \"5\": 8}, \"44,45\": {\"2\": 5, \"3\": 19, \"5\": 9}, \"44,212\": {\"2\": 7, \"3\": 4, \"5\": 2}, \"45,64\": {\"2\": 4, \"3\": -1, \"5\": 2}, \"46,135\": {\"2\": 7, \"3\": 17, \"5\": 11}, \"46,196\": {\"2\": 3, \"3\": -1, \"5\": 11}, \"46,223\": {\"2\": 2, \"3\": -1, \"5\": 24}, \"47,66\": {\"2\": 6, \"3\": 26, \"5\": 5}, \"48,88\": {\"2\": 2, \"3\": -1, \"5\": 15}, \"48,204\": {\"2\": 6, \"3\": -1, \"5\": 2}, \"48,262\": {\"2\": 1, \"3\": 8, \"5\": 14}, \"49,54\": {\"2\": 7, \"3\": 8, \"5\": 4}, \"49,81\": {\"2\": 6, \"3\": -1, \"5\": 17}, \"49,142\": {\"2\": 5, \"3\": -1, \"5\": 14}, \"50,47\": {\"2\": 2, \"3\": -1, \"5\": 7}, \"50,251\": {\"2\": 5, \"3\": 19, \"5\": 6}, \"50,256\": {\"2\": 5, \"3\": -1, \"5\": 2}, \"51,102\": {\"2\": 4, \"3\": -1, \"5\": 12}, \"52,3\": {\"2\": 7, \"3\": -1, \"5\": 14}, \"52,80\": {\"2\": 3, \"3\": -1, \"5\": 21}, \"52,194\": {\"2\": 2, \"3\": -1, \"5\": 8}, \"53,25\": {\"2\": 7, \"3\": -1, \"5\": 2}, \"54,249\": {\"2\": 0, \"3\": 3, \"5\": 1}, \"56,82\": {\"2\": 6, \"3\": -1, \"5\": 23}, \"57,123\": {\"2\": 2, \"3\": -1, \"5\": 7}, \"58,70\": {\"2\": 3, \"3\": -1, \"5\": 3}, \"59,109\": {\"2\": 4, \"3\": -1, \"5\": 19}, \"61,133\": {\"2\": 0, \"3\": 4, \"5\": 16}, \"61,205\": {\"2\": 0, \"3\": 13, \"5\": 9}, \"61,216\": {\"2\": 0, \"3\": 10, \"5\": 5}, \"63,163\": {\"2\": 4, \"3\": -1, \"5\": 2}, \"64,82\": {\"2\": 0, \"3\": -1, \"5\": 21}, \"65,48\": {\"2\": 0, \"3\": -1, \"5\": 18}, \"66,156\": {\"2\": 3, \"3\": -1, \"5\": 14}, \"68,124\": {\"2\": 6, \"3\": -1, \"5\": 2}, \"69,18\": {\"2\": 3, \"3\": -1, \"5\": 5}, \"70,190\": {\"2\": 5, \"3\": 6, \"5\": 0}, \"71,158\": {\"2\": 7, \"3\": -1, \"5\": 19}, \"72,221\": {\"2\": 5, \"3\": 1, \"5\": 12}, \"73,259\": {\"2\": 3, \"3\": -1, \"5\": 1}, \"75,96\": {\"2\": 5, \"3\": -1, \"5\": 6}, \"76,35\": {\"2\": 5, \"3\": -1, \"5\": 24}, \"76,110\": {\"2\": 0, \"3\": -1, \"5\": 4}, \"76,132\": {\"2\": 4, \"3\": 13, \"5\": 22}, \"77,31\": {\"2\": 2, \"3\": -1, \"5\": 7}, \"78,21\": {\"2\": 3, \"3\": -1, \"5\": 4}, \"78,26\": {\"2\": 3, \"3\": 20, \"5\": 8}, \"78,230\": {\"2\": 5, \"3\": -1, \"5\": 11}, \"79,69\": {\"2\": 5, \"3\": -1, \"5\": 1}, \"80,17\": {\"2\": 7, \"3\": -1, \"5\": 7}, \"81,244\": {\"2\": 1, \"3\": 4, \"5\": 4}, \"82,249\": {\"2\": 3, \"3\": 13, \"5\": 5}, \"83,2\": {\"2\": 6, \"3\": 21, \"5\": 12}, \"84,75\": {\"2\": 5, \"3\": -1, \"5\": 11}, \"85,273\": {\"2\": 0, \"3\": -1, \"5\": 3}, \"86,8\": {\"2\": 5, \"3\": -1, \"5\": 3}, \"86,24\": {\"2\": 6, \"3\": 4, \"5\": 24}, \"86,245\": {\"2\": 7, \"3\": -1, \"5\": 19}, \"87,90\": {\"2\": 3, \"3\": -1, \"5\": 7}, \"89,164\": {\"2\": 1, \"3\": -1, \"5\": 24}, \"90,63\": {\"2\": 3, \"3\": 5, \"5\": 23}, \"91,74\": {\"2\": 0, \"3\": -1, \"5\": 12}, \"91,233\": {\"2\": 2, \"3\": 14, \"5\": 17}, \"91,247\": {\"2\": 2, \"3\": -1, \"5\": 6}, \"93,270\": {\"2\": 4, \"3\": 21, \"5\": 11}, \"95,191\": {\"2\": 4, \"3\": -1, \"5\": 23}, \"96,211\": {\"2\": 4, \"3\": -1, \"5\": 21}, \"97,21\": {\"2\": 3, \"3\": 2, \"5\": 9}, \"97,26\": {\"2\": 2, \"3\": 4, \"5\": 15}, \"97,230\": {\"2\": 7, \"3\": 22, \"5\": 23}, \"98,85\": {\"2\": 4, \"3\": 4, \"5\": 2}, \"99,191\": {\"2\": 7, \"3\": -1, \"5\": 4}, \"100,20\": {\"2\": 7, \"3\": -1, \"5\": 16}, \"100,45\": {\"2\": 3, \"3\": -1, \"5\": 4}, \"100,212\": {\"2\": 2, \"3\": -1, \"5\": 19}, \"101,25\": {\"2\": 1, \"3\": -1, \"5\": 15}, \"103,6\": {\"2\": 3, \"3\": -1, \"5\": 15}, \"104,70\": {\"2\": 6, \"3\": -1, \"5\": 12}, \"105,51\": {\"2\": 0, \"3\": 1, \"5\": 14}, \"107,248\": {\"2\": 3, \"3\": 23, \"5\": 12}, \"108,22\": {\"2\": 2, \"3\": 25, \"5\": 5}, \"108,57\": {\"2\": 0, \"3\": -1, \"5\": 2}, \"108,198\": {\"2\": 2, \"3\": -1, \"5\": 4}, \"109,21\": {\"2\": 4, \"3\": 11, \"5\": 4}, \"109,26\": {\"2\": 0, \"3\": 12, \"5\": 18}, \"109,230\": {\"2\": 5, \"3\": 4, \"5\": 21}, \"110,96\": {\"2\": 0, \"3\": -1, \"5\": 3}, \"113,27\": {\"2\": 3, \"3\": 23, \"5\": 3}, \"117,0\": {\"2\": 0, \"3\": 2, \"5\": 24}, \"117,1\": {\"2\": 3, \"3\": -1, \"5\": 3}, \"117,276\": {\"2\": 6, \"3\": -1, \"5\": 19}, \"118,265\": {\"2\": 4, \"3\": -1, \"5\": 8}, \"120,174\": {\"2\": 6, \"3\": 2, \"5\": 5}, \"121,270\": {\"2\": 0, \"3\": 25, \"5\": 24}, \"122,56\": {\"2\": 7, \"3\": -1, \"5\": 16}, \"123,238\": {\"2\": 1, \"3\": -1, \"5\": 16}, \"125,98\": {\"2\": 0, \"3\": -1, \"5\": 18}, \"125,228\": {\"2\": 0, \"3\": -1, \"5\": 16}, \"127,7\": {\"2\": 6, \"3\": 6, \"5\": 14}, \"128,63\": {\"2\": 4, \"3\": 10, \"5\": 18}, \"129,29\": {\"2\": 1, \"3\": 5, \"5\": 9}, \"130,97\": {\"2\": 7, \"3\": -1, \"5\": 9}, \"131,227\": {\"2\": 0, \"3\": -1, \"5\": 1}, \"132,162\": {\"2\": 7, \"3\": -1, \"5\": 1}, \"134,170\": {\"2\": 3, \"3\": -1, \"5\": 7}, \"135,273\": {\"2\": 2, \"3\": -1, \"5\": 23}, \"136,32\": {\"2\": 5, \"3\": 20, \"5\": 0}, \"136,253\": {\"2\": 0, \"3\": -1, \"5\": 23}, \"136,269\": {\"2\": 4, \"3\": -1, \"5\": 24}, \"137,226\": {\"2\": 2, \"3\": -1, \"5\": 21}, \"138,42\": {\"2\": 0, \"3\": -1, \"5\": 18}, \"138,106\": {\"2\": 3, \"3\": -1, \"5\": 7}, \"138,129\": {\"2\": 6, \"3\": 12, \"5\": 9}, \"142,6\": {\"2\": 5, \"3\": -1, \"5\": 12}, \"143,92\": {\"2\": 1, \"3\": 22, \"5\": 13}, \"144,18\": {\"2\": 2, \"3\": -1, \"5\": 15}, \"146,213\": {\"2\": 5, \"3\": -1, \"5\": 15}, \"147,31\": {\"2\": 6, \"3\": -1, \"5\": 19}, \"148,43\": {\"2\": 0, \"3\": -1, \"5\": 3}, \"148,95\": {\"2\": 6, \"3\": -1, \"5\": 18}, \"148,139\": {\"2\": 3, \"3\": -1, \"5\": 13}, \"149,164\": {\"2\": 6, \"3\": -1, \"5\": 5}, \"150,15\": {\"2\": 3, \"3\": -1, \"5\": 0}, \"150,73\": {\"2\": 2, \"3\": -1, \"5\": 9}, \"150,189\": {\"2\": 7, \"3\": 7, \"5\": 10}, \"151,15\": {\"2\": 3, \"3\": -1, \"5\": 22}, \"151,73\": {\"2\": 0, \"3\": 24, \"5\": 22}, \"151,189\": {\"2\": 6, \"3\": -1, \"5\": 6}, \"152,181\": {\"2\": 4, \"3\": -1, \"5\": 3}, \"153,17\": {\"2\": 0, \"3\": 17, \"5\": 4}, \"154,151\": {\"2\": 6, \"3\": -1, \"5\": 6}, \"155,124\": {\"2\": 3, \"3\": 3, \"5\": 20}, \"158,202\": {\"2\": 6, \"3\": -1, \"5\": 12}, \"159,35\": {\"2\": 4, \"3\": -1, \"5\": 3}, \"159,110\": {\"2\": 3, \"3\": 17, \"5\": 2}, \"159,132\": {\"2\": 1, \"3\": -1, \"5\": 2}, \"161,0\": {\"2\": 6, \"3\": 22, \"5\": 23}, \"161,1\": {\"2\": 4, \"3\": -1, \"5\": 8}, \"161,276\": {\"2\": 6, \"3\": -1, \"5\": 16}, \"162,4\": {\"2\": 4, \"3\": 22, \"5\": 15}, \"163,180\": {\"2\": 6, \"3\": -1, \"5\": 1}, \"165,43\": {\"2\": 6, \"3\": -1, \"5\": 14}, \"165,95\": {\"2\": 6, \"3\": -1, \"5\": 19}, \"165,139\": {\"2\": 4, \"3\": -1, \"5\": 6}, \"166,125\": {\"2\": 0, \"3\": -1, \"5\": 15}, \"168,91\": {\"2\": 7, \"3\": -1, \"5\": 2}, \"168,200\": {\"2\": 0, \"3\": -1, \"5\": 18}, \"168,263\": {\"2\": 1, \"3\": -1, \"5\": 19}, \"171,99\": {\"2\": 4, \"3\": -1, \"5\": 7}, \"172,152\": {\"2\": 1, \"3\": -1, \"5\": 2}, \"173,11\": {\"2\": 4, \"3\": -1, \"5\": 9}, \"174,180\": {\"2\": 5, \"3\": -1, \"5\": 17}, \"175,74\": {\"2\": 7, \"3\": -1, \"5\": 14}, \"175,233\": {\"2\": 1, \"3\": -1, \"5\": 10}, \"175,247\": {\"2\": 0, \"3\": -1, \"5\": 23}, \"176,190\": {\"2\": 7, \"3\": 17, \"5\": 4}, \"177,214\": {\"2\": 3, \"3\": 18, \"5\": 8}, \"178,133\": {\"2\": 2, \"3\": -1, \"5\": 8}, \"178,205\": {\"2\": 4, \"3\": -1, \"5\": 22}, \"178,216\": {\"2\": 4, \"3\": 12, \"5\": 20}, \"179,152\": {\"2\": 4, \"3\": 18, \"5\": 4}, \"180,248\": {\"2\": 1, \"3\": 9, \"5\": 2}, \"181,250\": {\"2\": 6, \"3\": 21, \"5\": 10}, \"182,11\": {\"2\": 7, \"3\": -1, \"5\": 3}, \"183,174\": {\"2\": 4, \"3\": -1, \"5\": 13}, \"184,152\": {\"2\": 5, \"3\": -1, \"5\": 22}, \"186,175\": {\"2\": 1, \"3\": -1, \"5\": 20}, \"187,126\": {\"2\": 1, \"3\": 8, \"5\": 15}, \"189,195\": {\"2\": 5, \"3\": 20, \"5\": 15}, \"194,146\": {\"2\": 5, \"3\": -1, \"5\": 10}, \"195,90\": {\"2\": 0, \"3\": -1, \"5\": 13}, \"196,122\": {\"2\": 0, \"3\": 5, \"5\": 14}, \"197,177\": {\"2\": 6, \"3\": 22, \"5\": 15}, \"199,86\": {\"2\": 5, \"3\": -1, \"5\": 17}, \"200,238\": {\"2\": 4, \"3\": 19, \"5\": 17}, \"201,61\": {\"2\": 3, \"3\": -1, \"5\": 5}, \"201,72\": {\"2\": 6, \"3\": 21, \"5\": 18}, \"201,144\": {\"2\": 0, \"3\": -1, \"5\": 11}, \"202,143\": {\"2\": 3, \"3\": 20, \"5\": 0}, \"203,93\": {\"2\": 5, \"3\": 23, \"5\": 14}, \"204,112\": {\"2\": 7, \"3\": -1, \"5\": 14}, \"205,16\": {\"2\": 2, \"3\": 12, \"5\": 9}, \"205,37\": {\"2\": 3, \"3\": 18, \"5\": 11}, \"205,224\": {\"2\": 7, \"3\": 15, \"5\": 22}, \"206,236\": {\"2\": 6, \"3\": -1, \"5\": 13}, \"208,123\": {\"2\": 4, \"3\": -1, \"5\": 22}, \"210,154\": {\"2\": 5, \"3\": 15, \"5\": 10}, \"212,67\": {\"2\": 2, \"3\": 5, \"5\": 15}, \"213,41\": {\"2\": 1, \"3\": -1, \"5\": 0}, \"216,266\": {\"2\": 0, \"3\": 5, \"5\": 4}, \"217,7\": {\"2\": 0, \"3\": -1, \"5\": 10}, \"218,46\": {\"2\": 1, \"3\": -1, \"5\": 3}, \"218,59\": {\"2\": 0, \"3\": 3, \"5\": 16}, \"218,172\": {\"2\": 7, \"3\": -1, \"5\": 11}, \"219,5\": {\"2\": 7, \"3\": 6, \"5\": 1}, \"219,55\": {\"2\": 3, \"3\": 16, \"5\": 24}, \"219,217\": {\"2\": 2, \"3\": 5, \"5\": 21}, \"221,113\": {\"2\": 0, \"3\": -1, \"5\": 0}, \"222,98\": {\"2\": 0, \"3\": 8, \"5\": 10}, \"222,228\": {\"2\": 0, \"3\": 14, \"5\": 20}, \"223,271\": {\"2\": 4, \"3\": 25, \"5\": 3}, \"224,51\": {\"2\": 7, \"3\": -1, \"5\": 12}, \"225,165\": {\"2\": 5, \"3\": -1, \"5\": 0}, \"226,48\": {\"2\": 3, \"3\": 15, \"5\": 1}, \"228,146\": {\"2\": 4, \"3\": -1, \"5\": 17}, \"229,4\": {\"2\": 2, \"3\": -1, \"5\": 2}, \"230,238\": {\"2\": 0, \"3\": -1, \"5\": 22}, \"232,165\": {\"2\": 0, \"3\": -1, \"5\": 1}, \"233,138\": {\"2\": 4, \"3\": 26, \"5\": 21}, \"233,182\": {\"2\": 4, \"3\": 20, \"5\": 18}, \"233,234\": {\"2\": 2, \"3\": 14, \"5\": 4}, \"234,83\": {\"2\": 5, \"3\": -1, \"5\": 9}, \"234,197\": {\"2\": 7, \"3\": -1, \"5\": 19}, \"234,274\": {\"2\": 6, \"3\": 25, \"5\": 19}, \"237,54\": {\"2\": 6, \"3\": -1, \"5\": 12}, \"237,81\": {\"2\": 6, \"3\": -1, \"5\": 15}, \"237,142\": {\"2\": 4, \"3\": -1, \"5\": 4}, \"238,137\": {\"2\": 5, \"3\": -1, \"5\": 23}, \"240,221\": {\"2\": 5, \"3\": 0, \"5\": 18}, \"242,102\": {\"2\": 0, \"3\": -1, \"5\": 18}, \"243,265\": {\"2\": 5, \"3\": 7, \"5\": 0}, \"244,92\": {\"2\": 5, \"3\": 6, \"5\": 1}, \"245,47\": {\"2\": 6, \"3\": -1, \"5\": 16}, \"245,251\": {\"2\": 2, \"3\": -1, \"5\": 14}, \"245,256\": {\"2\": 1, \"3\": -1, \"5\": 20}, \"247,86\": {\"2\": 1, \"3\": -1, \"5\": 16}, \"248,75\": {\"2\": 0, \"3\": -1, \"5\": 18}, \"249,138\": {\"2\": 1, \"3\": -1, \"5\": 0}, \"249,182\": {\"2\": 3, \"3\": -1, \"5\": 19}, \"249,234\": {\"2\": 4, \"3\": -1, \"5\": 20}, \"250,112\": {\"2\": 5, \"3\": 14, \"5\": 24}, \"251,22\": {\"2\": 0, \"3\": 9, \"5\": 2}, \"251,57\": {\"2\": 5, \"3\": -1, \"5\": 6}, \"251,198\": {\"2\": 4, \"3\": -1, \"5\": 7}, \"252,162\": {\"2\": 3, \"3\": -1, \"5\": 15}, \"256,275\": {\"2\": 2, \"3\": -1, \"5\": 17}, \"257,210\": {\"2\": 0, \"3\": 14, \"5\": 9}, \"259,121\": {\"2\": 2, \"3\": -1, \"5\": 2}, \"260,125\": {\"2\": 6, \"3\": -1, \"5\": 10}, \"262,175\": {\"2\": 5, \"3\": 6, \"5\": 11}, \"263,30\": {\"2\": 3, \"3\": 1, \"5\": 20}, \"263,44\": {\"2\": 6, \"3\": -1, \"5\": 20}, \"263,203\": {\"2\": 0, \"3\": -1, \"5\": 10}, \"264,130\": {\"2\": 5, \"3\": -1, \"5\": 4}, \"265,185\": {\"2\": 6, \"3\": -1, \"5\": 10}, \"266,185\": {\"2\": 3, \"3\": -1, \"5\": 2}, \"268,211\": {\"2\": 0, \"3\": -1, \"5\": 16}, \"269,271\": {\"2\": 6, \"3\": 18, \"5\": 1}, \"270,21\": {\"2\": 2, \"3\": -1, \"5\": 2}, \"270,26\": {\"2\": 7, \"3\": 15, \"5\": 9}, \"270,230\": {\"2\": 3, \"3\": -1, \"5\": 8}, \"271,145\": {\"2\": 0, \"3\": -1, \"5\": 7}, \"271,167\": {\"2\": 1, \"3\": 18, \"5\": 10}, \"271,242\": {\"2\": 7, \"3\": -1, \"5\": 1}, \"273,121\": {\"2\": 0, \"3\": -1, \"5\": 2}, \"276,0\": {\"2\": 2, \"3\": 2, \"5\": 2}, \"276,1\": {\"2\": 7, \"3\": 11, \"5\": 7}, \"276,276\": {\"2\": 3, \"3\": 15, \"5\": 6}, \"O\": {\"2\": 0, \"3\": 0, \"5\": 0}}}" }, { "path": "anc/code/1.1.1/expected/1.1.1a.txt", "size_bytes": 1787, "sha256": "76819b03e85a1eb2d7fdcb14ab1a8857bfe426f676abd18c9cd685457fa2f698", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.1a_geometry.gp; gp -q 1.1.1a_nodes.gp; gp -q 1.1.1a_bitangent.gp (run here 14 Oct 2026; PARI 2.15.4 / Python 3, system env)\n## 1.1.1a_geometry.gp\ntransport identity: 0\ntargets: [[1, 1], [1, 0], [1, -1], [0, 1], [0, 0], [0, -1]] vals [0, 0, 0, 0, 0, 0]\nres affine sing = [157, 1; 64679, 1]\ndG/dZ at (0,0) = 1\n## 1.1.1a_nodes.gp\np=157 singular pts over F_p: List([[126, 24]])\n gcd(4x^3+1,243x^2-64) mod p: Mod(76, 157)*x + Mod(1, 157)\n 72x^2y mod p = 19\n v_p(F(crit)) = 1 F(crit) mod p^4 = 572892686 xcrit mod p^4=270423049 ycrit=584086653\np=64679 singular pts over F_p: List([[53814, 44371]])\n gcd(4x^3+1,243x^2-64) mod p: Mod(36200, 64679)*x + Mod(1, 64679)\n 72x^2y mod p = 48489\n v_p(F(crit)) = 1 F(crit) mod p^4 = 11905259396277590310 xcrit mod p^4=5525101367859799819 ycrit=16796341194694969313\n## 1.1.1a_bitangent.gp\ndeg R = 27 lc = 512\nR/lc == pK(m)? 1\nirreducible: 1\ndisc(pK) = [2, 312; 3, 54; 157, 6; 64679, 6; 333337, 2; 172659335137, 2]\ncheck factorization exact: 1 all primes: [1, 1, 1, 1, 1, 1]\nsig = [3, 12] disc(K) = [2, 24; 157, 6; 64679, 6] index = [2, 144; 3, 27; 333337, 1; 172659335137, 1]\ndisc(K) value = 18394906743257121277769499404528301613431352459264\nprimes above 2: [[9, 3]]\np1(m,et)=0: 1 p2: 1\n2ab - (3m et^2 - m + 1) = Mod(0, z^27 - 480*z^19 - 1344*z^18 - 34560*z^11 + 70656*z^10 - 40704*z^9 + 16384*z^3 - 12288*z - 4096) b^2-(et^3-et) = Mod(0, z^27 - 480*z^19 - 1344*z^18 - 34560*z^11 + 70656*z^10 - 40704*z^9 + 16384*z^3 - 12288*z - 4096) a^2-4b !=0: 1\np=157 (e,f): [[1, 3], [1, 6], [2, 6], [1, 6]]\np=64679 (e,f): [[2, 1], [1, 5], [2, 5], [1, 5], [1, 5]]\np=3 (e,f): [[1, 3], [1, 12], [1, 12]]\np=333337 (e,f): [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1], [1, 1], [1, 1], [1, 1], [1, 1], [1, 3], [1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]\n" }, { "path": "anc/code/1.1.1/expected/1.1.1b.txt", "size_bytes": 938, "sha256": "6f91befda00b6d9b54cd9c77c827e7ae261b4d40fdb1693ffdc469b2801e6c8a", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.1b_dyadic.gp (run here 14 Oct 2026; PARI 2.15.4 / Python 3, system env)\nsplit-prime character columns: 398\nrank over F2 of {A,B,D}: 3 of {E,B,D}: 3\nA==E mod squares (chars): 1 C1 = E+B: 1 F1 = E+D: 1\nP2 e,f: 9 3\nnumber of even cyclic factors of (O/P^19)^*: 28\nv(pi) = 1\ndyadic rank {A,B,D}: 3 {E,B,D}: 3 all six: 3\nimage of a square (should be 0): [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\nvaluations of U at P2: [-2, -2, -2, -2, -2, -2]\nA: #odd-prime factors with odd valuation = 0 primes involved: [2, 7, 31]\nB: #odd-prime factors with odd valuation = 0 primes involved: [2, 937]\nC1: #odd-prime factors with odd valuation = 0 primes involved: [2, 41, 79]\nD: #odd-prime factors with odd valuation = 0 primes involved: [2, 193]\nE: #odd-prime factors with odd valuation = 0 primes involved: [2]\nF1: #odd-prime factors with odd valuation = 0 primes involved: [2, 191]\n" }, { "path": "anc/code/1.1.1/expected/1.1.1c.txt", "size_bytes": 347, "sha256": "0674d2a4c6d1e645f6bf956bd9ca7a19abce15ae6cffeaeea3078142fbd7a677", "mode": 420, "encoding": "utf-8", "text": "# python3 1.1.1c_code.py (run here 14 Oct 2026; PARI 2.15.4 / Python 3, system env)\n|Omega|= 27\nnonzero word weights: [12, 16]\nB nondeg: True\nnum subspaces: 2825 Counter({3: 1395, 2: 651, 4: 651, 1: 63, 5: 63, 0: 1, 6: 1})\nell table: [(0, 0), (1, -1), (2, -2), (3, -3), (5, -3), (7, -5), (9, -3), (11, -5), (15, -5), (27, -5)]\nuniversal min: -5\n" }, { "path": "anc/code/1.1.1/expected/1.1.1d.txt", "size_bytes": 1301, "sha256": "3f8547cb71e8cc479e34932d9560be8c17e375d45f36a751766c7eef76200f27", "mode": 420, "encoding": "utf-8", "text": "# SLICE (rational primes p <= 20000, all prime ideals of norm <= 10^7 above them; run here 14 Oct 2026, system python3 (PARI 2.15.4)):\n# python3 ../common/h31_classgroup/witnesses.py data/classgroup_params.json --lo 2 --hi 20000 --out work/witnesses_2_20000.jsonl.gz\nWITNESSES 2665 STRICT 1564 DIRECT 1101 BY_DEGREE {\"1\": 2194, \"2\": 426, \"3\": 20, \"4\": 9, \"5\": 5, \"6\": 9, \"12\": 2} BOUND 10000000 RANGE 2 20000 SECONDS 48.8\n# python3 ../common/h31_classgroup/check_witnesses.py data/classgroup_params.json work/witnesses_2_20000.jsonl.gz --lo 2 --hi 20000\nALL 2665 PRIME IDEALS OF NORM <= 10000000 OVER p IN [2, 20000] HAVE VALID WITNESSES; COFACTOR_ONE 1122 COFACTOR_GT_ONE 1543 BY_DEGREE {\"1\": 2194, \"2\": 426, \"3\": 20, \"4\": 9, \"5\": 5, \"6\": 9, \"12\": 2} WITNESSES_USED 2665 SECONDS 5.8\n# FULL RUN to 10^7 (not repeated here; from the log of our 14 Oct 2026 replay with the source program\n# certify_3723_principals_fast.py --bound 10000000 --workers 2, PARI 2.17.4, which uses the same\n# idealmin-then-bnfisprincipal rule; at bound 30000 both programs give 3246 = 1853 + 1393):\nALL PRIME IDEALS THROUGH NORM 10000000 PROVED PRINCIPAL: 664464 in 3220.134062201 seconds.\n# strict (idealmin) 588850, direct (bnfisprincipal) 75614; by residue degree 1: 663993, 2: 426, 3: 20, 4: 9, 5: 5, 6: 9, 12: 2\n" }, { "path": "anc/code/1.1.1/expected/1.1.1e.txt", "size_bytes": 1805, "sha256": "be6fc310007bd2294baa60603984410c366c2190e0bc3c4434aa733810a1a0f5", "mode": 420, "encoding": "utf-8", "text": "# python3 1.1.1e_low_norm_census.py --output work/3723_low_norm_census.json --higher-output work/3723_higher_norms.json (run here 14 Oct 2026, system python3 (PARI 2.15.4, python-flint 0.9.0); 63 s)\nKNOWN_PRIME_IDEALS 664464 SMALL_EXACT_NORMS 5331 LARGE_POSITIVE_BINS 9154 HIGHER_UNKNOWN_NORMS 4180 HIGHER_UNKNOWN_IDEALS 9589 SHA256 5bf750889b7397e552157ebb9704e78827995d7c496abec0777d67cdf959634e SECONDS 62.554176364999876\n# (the two output files are identical to data/3723_low_norm_census.json and data/3723_higher_norms.json apart from the 'seconds' field)\n\n# SLICE of the census stream: python3 1.1.1e_census_stream.py --start 10000000 --stop 11000000 --block 1000000 --workers 1 --output work/census_slice (8 s)\nSTART 10000000 11000000 BLOCKS 1 REUSED 0 WORKERS 1\nBLOCK 10000000 11000000 PRIMES 61938 SECONDS 7.533 COMPLETE 1 PREFIX 11000000 TOTAL_PRIMES 61938 WALL 7.93\nCOMPLETE {\"start\": 10000000, \"stop\": 11000000, \"block_size\": 1000000, \"completed_blocks\": 1, \"total_primes\": 61938, \"seconds\": 7.957497355000214}\n# python3 1.1.1e_compare_slice.py work/census_slice\nbins compared 190 identical 190 different 0 skipped (cut by slice end) 1\n\n# FULL census (not repeated here; our 14 Oct 2026 replay, --verify, 2 workers; its blocks are data/3723_census_blocks/):\n{\n \"start\": 10000000,\n \"stop\": 110000000,\n \"block_size\": 10000000,\n \"completed_blocks\": 10,\n \"total_primes\": 5638730,\n \"seconds\": 202.43992626699946\n}\n\n# Cross-check with the shared counting tool (run here, 93 s):\n# python3 ../common/h31_classgroup/count_ideals.py data/classgroup_params.json --support 10000001 --out work/counts_le_1e7.npz\nRANGE 2 10000000 SUPPORT 10000001 RATIONAL_PRIMES 664579 DISTINCT_NORMS 360203 PRIME_IDEALS 664464 SHA256 5bf750889b7397e552157ebb9704e78827995d7c496abec0777d67cdf959634e SECONDS 93.4\n" }, { "path": "anc/code/1.1.1/expected/1.1.1f.txt", "size_bytes": 1704, "sha256": "d4561e56127147d0f63ab28632de13b368ac262d110eedeada16718f2701144b", "mode": 420, "encoding": "utf-8", "text": "# python3 1.1.1f_strict_window.py --require-positive (run here 14 Oct 2026, python-flint 0.9.0 Arb; reads data/; < 1 s)\n{\n \"index\": 3723,\n \"criterion\": \"strict Selmer characters only\",\n \"precision_bits\": 224,\n \"support\": 10000000000,\n \"principal_cutoff\": 10000000,\n \"window_cells\": 128,\n \"integer_window_denominator\": \"9096414759360672209310\",\n \"principal_ideal_count_required\": 664464,\n \"principal_prime_power_terms\": 20069,\n \"principal_large_norm_bins\": 9154,\n \"low_norm_stream_sha256\": \"5bf750889b7397e552157ebb9704e78827995d7c496abec0777d67cdf959634e\",\n \"higher_degree_nonprincipal_ideal_count\": 9589,\n \"census_prefix_exclusive\": 110000000,\n \"census_blocks\": 10,\n \"census_prime_count\": 5638730,\n \"census_root_counts\": {\n \"0\": 2582146,\n \"1\": 1821326,\n \"2\": 563570,\n \"3\": 156431,\n \"4\": 278941,\n \"5\": 176800,\n \"7\": 29325,\n \"9\": 26194,\n \"11\": 0,\n \"15\": 3878,\n \"27\": 119\n },\n \"archimedean_interval\": \"[-1.02294095659165758875663258647228653188365561201519670931650584162 +/- 8.26e-66]\",\n \"principal_sum_interval\": \"[1.14357574882281413282177844942303154264025611914281998757958898 +/- 1.50e-63]\",\n \"higher_degree_lower_interval\": \"[-1.000750306049216371036390064055049284985161143486729943320715082e-5 +/- 4.11e-69]\",\n \"census_lower_interval\": \"[-0.03407494090684468525705911656223013430061964112479037349502083768 +/- 8.37e-66]\",\n \"dusart_tail_lower_interval\": \"[-0.059858072172770792421833666947152659653570507678439264809036234733 +/- 6.02e-67]\",\n \"B_interval\": \"[0.02669177164848057422254271554072166630956050671295877265959286 +/- 2.69e-63]\",\n \"rigorously_positive\": true,\n \"rigorously_greater_than_7_over_1000\": true,\n \"seconds\": 0.358\n}\n" }, { "path": "anc/code/1.1.1/expected/1.1.1g.txt", "size_bytes": 801, "sha256": "d5c8e79cff7f5ad3a5c010f97e1c0a03fbfde0a77384e0cb0973edfd92691ef8", "mode": 420, "encoding": "utf-8", "text": "# python3 1.1.1g_kernel.py (run here 14 Oct 2026; PARI 2.15.4 / Python 3, system env)\n{\n \"kernel_polynomial_identity_verified\": true,\n \"cup_matrix\": [\n [\n 0,\n 0,\n 0,\n -1,\n 0,\n 0\n ],\n [\n 0,\n 0,\n 0,\n 0,\n -1,\n 0\n ],\n [\n 0,\n 0,\n 0,\n 0,\n 0,\n -1\n ],\n [\n 1,\n 0,\n 0,\n 0,\n 0,\n 0\n ],\n [\n 0,\n 1,\n 0,\n 0,\n 0,\n 0\n ],\n [\n 0,\n 0,\n 1,\n 0,\n 0,\n 0\n ]\n ],\n \"first_relative_Laurent_correction_order\": 8,\n \"diagonal_tangent_cancellation_verified\": true,\n \"all_checks_passed\": true,\n \"scope\": \"Exact algebraic identities; Coleman normalization and precision are proved in the accompanying text.\"\n}\n" }, { "path": "anc/code/1.1.1/expected/1.1.1h.txt", "size_bytes": 2634, "sha256": "f7db07c661d85da62437469cbee2813537e272668f6a29eb5737fac2d91a27cd", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.1h_qc3.gp (run here 14 Oct 2026; PARI 2.15.4 / Python 3, system env)\ndisk series integral at 3: ok\nrelation matrix R = [4, 1, 1, 1, 0, 0; 1, 4, 1, 0, 1, 0; 1, 1, 4, 0, 0, 1; 0, 0, 1, 4, 1, 1; 1, 0, 0, 1, 4, 1; 0, 1, 0, 1, 1, 4] det = 3185\nsection 1 residual disks: [\"D\", \"C1\", \"B\"] v_3(s): [1, 1, 1]\nsection 2 residual disks: [\"E\", \"C1\", \"A\"] v_3(s): [1, 1, 1]\nsection 3 residual disks: [\"F1\", \"B\", \"A\"] v_3(s): [1, 1, 1]\nsection 4 residual disks: [\"E\", \"F1\", \"C1\"] v_3(s): [1, 1, 1]\nsection 5 residual disks: [\"A\", \"D\", \"F1\"] v_3(s): [\"exact\", \"exact\", \"exact\"]\nsection 6 residual disks: [\"D\", \"E\", \"B\"] v_3(s): [1, 1, 1]\nomega at O leading: -t^4 + O(t^8)\nsecond-kind residue corrections: [102935860503/34359738368, -33489/16384, -183/128; -1144806012/28629151, -3249/961, 57/31; -15272778224495337/22023678539595776, -33489/3444736, -183/1856; -44458407/33554432, -49/1024, 7/32; 1, -1, -1; 44424793/33554432, -49/1024, 7/32]\nI/3 mod 729 rows: \n A: [240, 627, 324]\n B: [594, 173, 638]\n C1: [624, 658, 496]\n D: [634, 394, 677]\n E: [406, 277, 621]\n F1: [418, 58, 160]\nJ mod 729 rows: \n A: [262, 341, 395]\n B: [14, 281, 314]\n C1: [453, 107, 20]\n D: [654, 393, 165]\n E: [399, 129, 354]\n F1: [405, 207, 210]\nrelations: I(A)+3I(E) val [45, 45, 45] I(C1)-3I(E)+I(B) [45, 45, 45] I(F1)+I(E)+I(D) [45, 45, 45]\nsymmetry: min valuation of H - H~ : 44\n3M mod 729: [240, 62, 406; 62, 431, 692; 406, 692, 525] min v(M) = -1\nI_B/3 mod 3: [1, 1, 0; 0, 2, 2; 1, 1, 2] det mod 3: 1\nglobal height consistency: min valuation over 36 entries of H+corr - I M I^T: 44\ntau centers mod 2187: [162, 1089, 540, 1620, 1233, 1719]\nA: v(const)=44 e=2 reduction=2*u^3 + 2*u^2 min rel. val of coeffs 13..59: 9\n additional roots in Z_3: 2\nB: v(const)=44 e=1 reduction=2*u^2 + 2*u min rel. val of coeffs 13..59: 10\n additional roots in Z_3: 1\nC1: v(const)=44 e=1 reduction=u^2 + 2*u min rel. val of coeffs 13..59: 10\n additional roots in Z_3: 1\nD: v(const)=44 e=1 reduction=2*u^2 + 2*u min rel. val of coeffs 13..59: 10\n additional roots in Z_3: 1\nE: v(const)=44 e=1 reduction=u min rel. val of coeffs 13..59: 10\n additional roots in Z_3: 0\nF1: v(const)=44 e=1 reduction=u^2 min rel. val of coeffs 13..59: 10\n additional roots in Z_3: 1\nadditional roots: coordinates a = I(P) I_B^{-1} mod 3^8:\n disk A: u mod 6561 = 1274 a = [4511, 1997, 707]\n disk A: u mod 6561 = 4680 a = [5946, 6246, 1629]\n disk B: u mod 6561 = 5882 a = [1542, 2265, 5452]\n disk C1: u mod 6561 = 2620 a = [1475, 1164, 2808]\n disk D: u mod 6561 = 1442 a = [1405, 250, 6058]\n disk F1: u mod 6561 = 5667 a = [6218, 5349, 6041]\n" }, { "path": "anc/code/1.1.1/expected/1.1.1i.txt", "size_bytes": 2978, "sha256": "07f9054704ae9c8a5fa0c949bf78815383ef5e9dfff80f9889368503102fc321", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.1i_qc5.gp (run here 14 Oct 2026; PARI 2.15.4 / Python 3, system env)\nbeta mod 5^8 = 309087\naffine F_5 points: List([[0, 0], [0, 1], [0, 4], [3, 2], [4, 0], [4, 1], [4, 4]])\ndisk series integral at 5: ok\nsection 1 N=6 reduced coeffs mod 5: [0, 1, 0, 1] exact: [0, 1, 0, 1]\nsection 2 N=7 reduced coeffs mod 5: [4, 2, 1, 3, 1] exact: [-1/6, -11/12, 1/6, -19/12, 1]\nsection 3 N=7 reduced coeffs mod 5: [0, 1, 1, 1, 1] exact: [-5/2, -4, 1, -3/2, 1]\nsection 4 N=7 reduced coeffs mod 5: [0, 4, 0, 3, 1] exact: [-20/17, -7/17, 20/17, 16/17, 1]\nsection 5 N=7 reduced coeffs mod 5: [1, 0, 1, 4, 1]\nsection 6 N=7 reduced coeffs mod 5: [0, 0, 0, 4, 1] exact: [0, 0, 0, -1, 1]\nsection 7 N=9 reduced coeffs mod 5: [4, 3, 0, 4, 0, 1, 1] exact: [-29/79, -323/79, 280/79, -279/79, 280/79, 64/79, 1]\nsection 1: residual zeros in [\"C1\", \"E\", \"F1\"] v(s)=[\"exact\", \"exact\", \"exact\"]\nsection 2: residual zeros in [\"B\", \"C1\", \"P6\"] v(s)=[1, 1, 2]\nsection 3: residual zeros in [\"B\", \"E\", \"P6\"] v(s)=[\"exact\", 1, 1]\nsection 4: residual zeros in [\"D\", \"E\", \"P6\"] v(s)=[1, 1, 1]\nsection 5: residual zeros in [\"B\", \"C1\", \"D\"] v(s)=[1, 1, 1]\nsection 6: residual zeros in [\"A\", \"D\", \"F1\"] v(s)=[\"exact\", \"exact\", \"exact\"]\nsection 7: residual zeros in [\"D\", \"F1\", \"P6\"] v(s)=[1, 1, 1]\nrelation matrix rows: \n [1, 1, 1, 1, 1, 1, 0]\n [2, 1, 1, 0, 0, 2, 1]\n [1, 1, 3, 0, 1, 0, 1]\n [1, 0, 0, 1, 1, 3, 1]\n [1, 1, 1, 1, 0, 0, 3]\n [1, 0, 0, 1, 4, 1, 0]\n [5, 0, 1, 1, 0, 1, 1]\ndet R = 452\nrelations (valuations): I(A)+3I(E) [41, 41, 41] I(C1)-3I(E)+I(B) [41, 41, 41] I(F1)+I(E)+I(D) [41, 41, 41]\nsymmetry: min valuation of H - H~ : 38\n5^-1 I_B mod 5: [3, 3, 2; 2, 0, 0; 1, 3, 0] v(det I_B) = 3\n5M mod 5: [0, 3, 0; 3, 4, 0; 0, 0, 3] min v(M) = -1\nglobal consistency (36): min valuation: 39\nbasis coordinates of six points: [[-3, 0, 0], [0, 1, 0], [3, -1, 0], [0, 0, 1], [1, 0, 0], [-1, 0, -1]]\nA: v(const)=39 e=1 reduction=u^2 + 4*u min rel. val coeffs 11..: 8\n additional roots in Z_5: 1\nB: v(const)=39 e=1 reduction=2*u^2 + 3*u min rel. val coeffs 11..: 8\n additional roots in Z_5: 1\nC1: v(const)=39 e=1 reduction=u^2 + 3*u min rel. val coeffs 11..: 8\n additional roots in Z_5: 1\nD: v(const)=39 e=1 reduction=3*u^2 + 3*u min rel. val coeffs 11..: 8\n additional roots in Z_5: 1\nE: v(const)=39 e=1 reduction=2*u min rel. val coeffs 11..: 9\n additional roots in Z_5: 0\nF1: v(const)=39 e=1 reduction=3*u^2 + 4*u min rel. val coeffs 11..: 8\n additional roots in Z_5: 1\nP6: v(const)=2 e=1 reduction=4*u^2 + 4*u min rel. val coeffs 11..: 8\n additional roots in Z_5: 2\nadditional roots: coordinates mod 5^8:\n disk A: u = 88061 a = [182268, 389041, 117968]\n disk B: u = 51781 a = [9880, 216347, 307132]\n disk C1: u = 291387 a = [125051, 375010, 46930]\n disk D: u = 332159 a = [759, 70457, 158427]\n disk F1: u = 49757 a = [79377, 350530, 127046]\n disk P6: u = 235554 a = [361850, 252022, 388570]\n disk P6: u = 325535 a = [352126, 189681, 390420]\n" }, { "path": "anc/code/1.1.1/expected/1.1.1j.txt", "size_bytes": 2366, "sha256": "8b9431d354b9e1c0d3238fe379f1ff57079856e64848a3dd36dacbe5947f7157", "mode": 420, "encoding": "utf-8", "text": "# g++ -O2 -o work/count 1.1.1j_count.cpp; for q in 3 5 109 233 277; do for r in 1 2 3; do ./work/count $q $r; done; done > work/counts.txt; python3 1.1.1j_jorder.py work/counts.txt (run here 14 Oct 2026; 48 s)\n3 1 7\n3 2 13\n3 3 28\n5 1 8\n5 2 34\n5 3 134\n109 1 109\n109 2 12243\n109 3 1296898\n233 1 259\n233 2 54447\n233 3 12648664\n277 1 300\n277 2 77454\n277 3 21247200\nq = 3 counts [7, 13, 28] L(T) coefficients [1, 3, 6, 9, 18, 27, 27] #J = 91\nq = 5 counts [8, 34, 134] L(T) coefficients [1, 2, 6, 12, 30, 50, 125] #J = 226\nq = 109 counts [109, 12243, 1296898] L(T) coefficients [1, -1, 181, 442, 19729, -11881, 1295029] #J = 1303500\nq = 233 counts [259, 54447, 12648664] L(T) coefficients [1, 25, 391, 4342, 91103, 1357225, 12649337] #J = 14102424\nq = 277 counts [300, 77454, 21247200] L(T) coefficients [1, 22, 604, 7494, 167308, 1688038, 21253933] #J = 23117400\n\n# Sage (passagemath) tables, run here: python3 1.1.1j_sieve_tables.py q #J work/sieve for q = 109, 233, 277 (59 s, 93 s, 154 s)\n109 subgroup orders: {2: 4, 3: 3, 5: 125} 18.2\n109 done 108 affine points 56.6\n233 subgroup orders: {2: 8, 3: 81} 10.1\n233 done 258 affine points 91.4\n277 subgroup orders: {2: 8, 3: 27, 5: 25} 7.8\n277 done 299 affine points 151.9\ntable 109 regenerated == data/sieve copy: True\ntable 233 regenerated == data/sieve copy: True\ntable 277 regenerated == data/sieve copy: True\n\n# python3 1.1.1j_sieve_logic.py (reads data/sieve; the same output from work/sieve)\n109 v= {2: 2, 3: 1, 5: 3} subgroup orders {2: 4, 3: 3, 5: 125} compatible j per i: {0: [2, 6], 1: [0, 4, 5], 2: [0, 2], 3: [0, 4, 5], 4: [0, 2], 5: [0, 2]}\n233 v= {2: 3, 3: 4, 5: 0} subgroup orders {2: 8, 3: 81} compatible j per i: {0: [0, 1, 2, 3, 4, 5, 6], 1: [0, 1, 2, 3, 4, 5, 6], 2: [0, 1, 2, 3, 4, 5, 6], 3: [0, 1, 2, 3, 4, 5, 6], 4: [0, 1, 2, 3, 4, 5, 6], 5: [0, 1, 2, 3, 4, 5, 6]}\n277 v= {2: 3, 3: 4, 5: 2} subgroup orders {2: 8, 3: 27, 5: 25} compatible j per i: {0: [4], 1: [], 2: [2, 6], 3: [], 4: [4], 5: [4]}\njoint survivors: []\n109 pair (2,2) curve points: ['20,62'] 2-part indices: [2]\n233 pair (2,2) curve points: ['20,173', '78,144'] 2-part indices: [2, 0]\n277 pair (2,2) curve points: ['44,20'] 2-part indices: [6]\n109 curve points outside generated primary subgroups: 0\n233 curve points outside generated primary subgroups: 0\n277 curve points outside generated primary subgroups: 190\n" }, { "path": "anc/code/1.1.10/9111_descent_data.json", "size_bytes": 205456, "sha256": "a7d1c3d1d56fa24f9d8e90edb3756d9fc57b50747c3f872bc910a0f0eef1992a", "mode": 420, "encoding": "utf-8", "text": "{\n \"index\": 9111,\n \"polynomial\": \"x^27 + 480*x^19 - 2688*x^18 - 17280*x^15 - 34560*x^11 - 141312*x^10 - 162816*x^9 + 165888*x^7 + 221184*x^6 - 126976*x^3 + 49152*x - 32768\",\n \"discriminant\": \"1033727079572205527447879379643917888211892763703115776\",\n \"signature\": [\n 3,\n 12\n ],\n \"odd_bad_primes\": [\n 31,\n 433,\n 2341\n ],\n \"factors\": [\n \"-1094640826242242095/1815550710215942873088*x^26 - 13201387128855127/25215982086332539904*x^25 - 47293006372088745/201727856690660319232*x^24 - 13924874594790887/302591785035990478848*x^23 + 6494091655459493/453887677553985718272*x^22 + 4411090717673677/226943838776992859136*x^21 + 339886703516879/113471919388496429568*x^20 - 520692293639723/18911986564749404928*x^19 - 65689081911544264259/226943838776992859136*x^18 + 38847516921927901729/28367979847124107392*x^17 + 510202058986525809/393999720098945936*x^16 + 3832615768697076423/6303995521583134976*x^15 + 598438483353746412433/56735959694248214784*x^14 + 85265812512391600357/9455993282374702464*x^13 + 37900572067065985307/9455993282374702464*x^12 + 5528260985087747371/7091994961781026848*x^11 + 292231083838122218941/14183989923562053696*x^10 + 730929299508462796931/7091994961781026848*x^9 + 1278766044631201215071/7091994961781026848*x^8 + 8875614486077360315/73874947518552363*x^7 - 98628768384717747751/1772998740445256712*x^6 - 22454302863718144249/104294043555603336*x^5 - 5537513381893647875/34764681185201112*x^4 - 1596473466100074235/26073510888900834*x^3 + 63140972351264553595/886499370222628356*x^2 + 5687460572734167154/73874947518552363*x + 184458151525702052/24624982506184121\",\n \"1/2*x^2\",\n \"189022244285659973/3631101420431885746176*x^26 - 4237584301348297/302591785035990478848*x^25 - 368897760177961/18911986564749404928*x^24 - 205795735068343/14183989923562053696*x^23 - 194769204718591/6303995521583134976*x^22 - 630324648900209/56735959694248214784*x^21 - 423912658832353/37823973129498809856*x^20 - 771880066358725/226943838776992859136*x^19 + 2834602252816035923/113471919388496429568*x^18 - 1040083472268119215/7091994961781026848*x^17 + 178238392583915511/6303995521583134976*x^16 + 161250791409203531/3545997480890513424*x^15 - 24832918736660960299/28367979847124107392*x^14 + 2267556945595461869/7091994961781026848*x^13 + 2564093575713461377/7091994961781026848*x^12 + 3960434136699881375/14183989923562053696*x^11 - 17865320973811134409/14183989923562053696*x^10 - 7879061893146281239/1181999160296837808*x^9 - 9956236394714216999/1772998740445256712*x^8 + 19921175371808376671/3545997480890513424*x^7 + 26620938360786846445/1772998740445256712*x^6 + 71597864542161260/4345585148150139*x^5 + 8699751024109004/13036755444450417*x^4 - 4798204039018579/1448528382716713*x^3 - 10728639844285400939/886499370222628356*x^2 - 926719535936312225/221624842555657089*x + 859327570063545068/221624842555657089\",\n \"6248868778419845/1210367140143961915392*x^26 - 33310724690939357/907775355107971436544*x^25 - 5347983991527655/100863928345330159616*x^24 - 3453482772704557/113471919388496429568*x^23 - 3105730745228699/226943838776992859136*x^22 - 7529787308946347/226943838776992859136*x^21 - 30103592279227/1181999160296837808*x^20 - 218444812186865/56735959694248214784*x^19 + 279556557064579979/113471919388496429568*x^18 - 894090704919737365/28367979847124107392*x^17 + 1037776495836859175/14183989923562053696*x^16 + 7258893160028575483/56735959694248214784*x^15 - 43978941262491439/3151997760791567488*x^14 + 774118708370024543/1181999160296837808*x^13 + 14087343283293866177/14183989923562053696*x^12 + 2101177069312788745/3545997480890513424*x^11 + 290484833719252517/4727996641187351232*x^10 + 336317787581235695/295499790074209452*x^9 + 23677693060929576721/3545997480890513424*x^8 + 51959147717081952143/3545997480890513424*x^7 + 25608244916970373027/1772998740445256712*x^6 + 14959858305485050/4345585148150139*x^5 - 453613768053217721/52147021777801668*x^4 - 424230368909298953/52147021777801668*x^3 - 4344260057601656977/886499370222628356*x^2 + 256765457134244681/221624842555657089*x + 492279924407559277/221624842555657089\",\n \"-93420912957750233/1210367140143961915392*x^26 + 2562843058957349/907775355107971436544*x^25 + 237691040920153/151295892517995239424*x^24 - 6707034416893597/453887677553985718272*x^23 + 1886659638197/25215982086332539904*x^22 + 475722108412507/113471919388496429568*x^21 - 29160473175861/6303995521583134976*x^20 - 3368988349481375/226943838776992859136*x^19 - 4205087546553715055/113471919388496429568*x^18 + 23698490236142554387/113471919388496429568*x^17 - 387860684755625279/56735959694248214784*x^16 - 160789047316807667/14183989923562053696*x^15 + 9740947216038483013/7091994961781026848*x^14 - 666205046918989117/14183989923562053696*x^13 - 288274682921711431/7091994961781026848*x^12 + 3696913075535312275/14183989923562053696*x^11 + 38320099113848714371/14183989923562053696*x^10 + 8491017100878638889/787999440197891872*x^9 + 2687760939196041875/221624842555657089*x^8 + 94562372721719929/1181999160296837808*x^7 - 2379502781510282774/221624842555657089*x^6 - 171543760845158371/11588227061733704*x^5 + 23366460914081167/52147021777801668*x^4 - 10854233859852589/8691170296300278*x^3 + 933019763660989807/98499930024736484*x^2 + 70394241800573009/24624982506184121*x - 944159063200177936/221624842555657089\",\n \"-31630642689262929/403455713381320638464*x^26 - 22885145443355593/453887677553985718272*x^25 - 16234882476733207/302591785035990478848*x^24 - 5269741471483873/151295892517995239424*x^23 - 287426254183547/9455993282374702464*x^22 - 5935725464828033/226943838776992859136*x^21 - 722608002689699/18911986564749404928*x^20 + 815921951607961/75647946258997619712*x^19 - 4273480230864877807/113471919388496429568*x^18 + 21167614561154640443/113471919388496429568*x^17 + 6228043726327376123/56735959694248214784*x^16 + 2411713875458589893/18911986564749404928*x^15 + 6778906931845742833/4727996641187351232*x^14 + 13338883471153362049/14183989923562053696*x^13 + 13887107374771527239/14183989923562053696*x^12 + 1118671911702653089/1575998880395783744*x^11 + 45263101285803091801/14183989923562053696*x^10 + 31575937587433260523/2363998320593675616*x^9 + 4959112526117587378/221624842555657089*x^8 + 14919983316438121405/886499370222628356*x^7 + 158623696405332542/73874947518552363*x^6 - 1565354573433802133/104294043555603336*x^5 - 130881542366364958/13036755444450417*x^4 - 453231647020456027/52147021777801668*x^3 + 2337205728555149485/886499370222628356*x^2 - 456895871344415693/221624842555657089*x - 986490822207267242/221624842555657089\",\n \"-11237579861882623/75647946258997619712*x^26 - 3547210336937791/226943838776992859136*x^25 - 203586977151603/12607991043166269952*x^24 - 8039267668925891/453887677553985718272*x^23 - 68122429148309/6303995521583134976*x^22 - 328439065503199/56735959694248214784*x^21 - 567025998427309/37823973129498809856*x^20 - 55507602683579/28367979847124107392*x^19 - 1348760107250772413/18911986564749404928*x^18 + 44460106860048283291/113471919388496429568*x^17 + 485985341616622417/14183989923562053696*x^16 + 990061381861159123/28367979847124107392*x^15 + 74023211138170156799/28367979847124107392*x^14 + 525458314509284311/1772998740445256712*x^13 + 2038108280997715481/7091994961781026848*x^12 + 2449836234386443873/7091994961781026848*x^11 + 18863083524276736837/3545997480890513424*x^10 + 153714093895962802399/7091994961781026848*x^9 + 48178970359138618231/1772998740445256712*x^8 + 4852186448473466413/886499370222628356*x^7 - 16771185796410845749/886499370222628356*x^6 - 3242473534594825961/104294043555603336*x^5 - 39779653266104879/13036755444450417*x^4 - 43148196044180341/13036755444450417*x^3 + 7149881512539021451/443249685111314178*x^2 + 68618012939442290/221624842555657089*x - 629047867869257476/73874947518552363\",\n \"-2088829370387399/605183570071980957696*x^26 + 11147384324809709/907775355107971436544*x^25 + 7157643351692657/302591785035990478848*x^24 - 1089347941906405/453887677553985718272*x^23 - 94958395864919/75647946258997619712*x^22 + 4739820056336099/226943838776992859136*x^21 + 14670502458915/12607991043166269952*x^20 - 318933691267745/56735959694248214784*x^19 - 10396840175585591/6303995521583134976*x^18 + 1723810081914660991/113471919388496429568*x^17 - 76736149510450613/3545997480890513424*x^16 - 3674632481608936565/56735959694248214784*x^15 + 1857909702041977417/28367979847124107392*x^14 - 704838404868463843/3545997480890513424*x^13 - 6586403101547093135/14183989923562053696*x^12 + 252746899897349345/7091994961781026848*x^11 + 1132630390077390529/7091994961781026848*x^10 - 2187236457552923801/7091994961781026848*x^9 - 7300026039208339003/3545997480890513424*x^8 - 6164147011813264085/1181999160296837808*x^7 - 3633355499734788365/886499370222628356*x^6 + 27629496677628595/34764681185201112*x^5 + 183872192543326297/52147021777801668*x^4 + 36130729698326587/17382340592600556*x^3 - 199180535239484077/443249685111314178*x^2 + 67841604646626946/221624842555657089*x - 23115000503187644/73874947518552363\",\n \"-148548557167126019/3631101420431885746176*x^26 - 6405149690459849/453887677553985718272*x^25 - 65185133398961/3151997760791567488*x^24 - 9064338628570775/453887677553985718272*x^23 - 2831724837917531/151295892517995239424*x^22 - 621204445589735/56735959694248214784*x^21 - 502051597310051/37823973129498809856*x^20 - 940752324452981/113471919388496429568*x^19 - 743299789621757191/37823973129498809856*x^18 + 2927590521450897995/28367979847124107392*x^17 + 794236024827666917/28367979847124107392*x^16 + 1305053382221378155/28367979847124107392*x^15 + 21322052653604310989/28367979847124107392*x^14 + 8195933112369308045/28367979847124107392*x^13 + 2697917748365638459/7091994961781026848*x^12 + 334028294690285471/886499370222628356*x^11 + 24857169206958055843/14183989923562053696*x^10 + 5763493673282622889/886499370222628356*x^9 + 5659062438929500583/590999580148418904*x^8 + 10772093572084874753/1772998740445256712*x^7 + 502072088741514307/1772998740445256712*x^6 - 182571828617673421/34764681185201112*x^5 - 66762065662846075/52147021777801668*x^4 - 5716818444990565/1448528382716713*x^3 + 857475844930869013/886499370222628356*x^2 - 504581657262540907/443249685111314178*x - 579579261291186877/221624842555657089\",\n \"-22529857896225787/1815550710215942873088*x^26 + 664680534638165/56735959694248214784*x^25 + 2415505948272511/151295892517995239424*x^24 + 164740753330559/28367979847124107392*x^23 - 3617851385529749/453887677553985718272*x^22 + 1195587197090285/113471919388496429568*x^21 + 127726773276871/18911986564749404928*x^20 - 276955287292165/113471919388496429568*x^19 - 169203681402842177/28367979847124107392*x^18 + 4426478642511235775/113471919388496429568*x^17 - 675786712934728369/28367979847124107392*x^16 - 1138694102930025577/28367979847124107392*x^15 + 5531221891351849067/28367979847124107392*x^14 - 4990924153609768115/28367979847124107392*x^13 - 2134460665449559553/7091994961781026848*x^12 - 848817555541169905/7091994961781026848*x^11 + 2018630064711629707/3545997480890513424*x^10 + 8529623523612435847/7091994961781026848*x^9 - 226516438668620509/590999580148418904*x^8 - 1283107128495375607/295499790074209452*x^7 - 2965945665447656477/590999580148418904*x^6 - 73144530349798855/52147021777801668*x^5 + 82862416187761861/17382340592600556*x^4 + 55595055546736895/26073510888900834*x^3 + 613103364108969235/443249685111314178*x^2 - 593739159882628055/443249685111314178*x - 485581703017272230/221624842555657089\",\n \"27086070021861647/1815550710215942873088*x^26 - 100280730730736917/1815550710215942873088*x^25 - 6885671776159429/302591785035990478848*x^24 - 14799402615027439/302591785035990478848*x^23 - 468034037003651/50431964172665079808*x^22 - 2074992614489803/75647946258997619712*x^21 - 13755425574873823/453887677553985718272*x^20 - 731024548796375/113471919388496429568*x^19 + 135366175682602187/18911986564749404928*x^18 - 2520998814511981561/37823973129498809856*x^17 + 15612277743060780247/113471919388496429568*x^16 + 59350169284824511/1575998880395783744*x^15 - 2472516691394758847/18911986564749404928*x^14 + 9136444141768469173/9455993282374702464*x^13 + 12833617644777171329/28367979847124107392*x^12 + 6548342819456559341/7091994961781026848*x^11 - 602002350487580089/1772998740445256712*x^10 + 6558452135649889/24624982506184121*x^9 + 6032371127425951517/886499370222628356*x^8 + 49235814210780160381/3545997480890513424*x^7 + 16052328535626201235/1181999160296837808*x^6 + 167577147717113941/34764681185201112*x^5 - 1054702958554980053/104294043555603336*x^4 - 31613390020911629/8691170296300278*x^3 - 7522097210105954173/886499370222628356*x^2 + 1794533539818898511/443249685111314178*x - 462632878928685340/221624842555657089\",\n \"-2595983061874201/201727856690660319232*x^26 + 22068686752983187/907775355107971436544*x^25 + 3142797145141617/100863928345330159616*x^24 + 4211707422035215/226943838776992859136*x^23 + 288414466323341/25215982086332539904*x^22 + 4086361957791397/226943838776992859136*x^21 + 330354496047695/18911986564749404928*x^20 - 51130068755825/56735959694248214784*x^19 - 58229918370214067/9455993282374702464*x^18 + 656094663510292909/14183989923562053696*x^17 - 714626488490671411/14183989923562053696*x^16 - 4247384265472832465/56735959694248214784*x^15 + 2524300173242145923/14183989923562053696*x^14 - 1567980643417750979/3545997480890513424*x^13 - 8204587645949392195/14183989923562053696*x^12 - 652636870377683575/1772998740445256712*x^11 + 1834470748420944067/7091994961781026848*x^10 + 1088618631835053377/1772998740445256712*x^9 - 2397788972775396011/886499370222628356*x^8 - 31975039318796673505/3545997480890513424*x^7 - 18671537004525940567/1772998740445256712*x^6 - 207105043413149807/52147021777801668*x^5 + 279919855453324151/52147021777801668*x^4 + 253452902760900583/52147021777801668*x^3 + 1105189104399939439/221624842555657089*x^2 - 39638109922661192/221624842555657089*x - 6426513432285638/24624982506184121\",\n \"-40875719851894375/1815550710215942873088*x^26 - 4274957393026757/453887677553985718272*x^25 - 859000448604581/75647946258997619712*x^24 - 537390951595263/25215982086332539904*x^23 - 2942607983512555/151295892517995239424*x^22 - 144252175871831/56735959694248214784*x^21 - 41304972991641/3151997760791567488*x^20 - 133959732334785/12607991043166269952*x^19 - 51151071835295965/4727996641187351232*x^18 + 6355954962591950879/113471919388496429568*x^17 + 563505142410547463/28367979847124107392*x^16 + 47944476691529461/2363998320593675616*x^15 + 4132248298505915975/9455993282374702464*x^14 + 6065998178761029149/28367979847124107392*x^13 + 697673948320847639/3545997480890513424*x^12 + 313931668369445205/787999440197891872*x^11 + 1343941080809346955/1181999160296837808*x^10 + 25466064925307502623/7091994961781026848*x^9 + 1645524211389478481/295499790074209452*x^8 + 7196174440300160677/1772998740445256712*x^7 + 150556190805126125/73874947518552363*x^6 - 6658129491641014/13036755444450417*x^5 + 5040490210666301/52147021777801668*x^4 - 41271513975716749/13036755444450417*x^3 - 479833665605508563/443249685111314178*x^2 - 889649705399488505/443249685111314178*x - 536337883024752358/221624842555657089\",\n \"-8113219742457899/3631101420431885746176*x^26 - 433389160955041/25215982086332539904*x^25 - 6760661572410715/302591785035990478848*x^24 - 2958846055553465/453887677553985718272*x^23 + 1352846485935137/75647946258997619712*x^22 - 3354061877690413/226943838776992859136*x^21 - 59219178346131/6303995521583134976*x^20 + 1311404603584433/226943838776992859136*x^19 - 123677425815786965/113471919388496429568*x^18 - 253857047447060261/113471919388496429568*x^17 + 670772701956045035/18911986564749404928*x^16 + 3230947614746879015/56735959694248214784*x^15 + 459183791065418561/7091994961781026848*x^14 + 1714757979569123317/7091994961781026848*x^13 + 5975755569679864723/14183989923562053696*x^12 + 1995541467591807851/14183989923562053696*x^11 - 1207241457943642123/4727996641187351232*x^10 + 2872760373003670015/2363998320593675616*x^9 + 6563833750450675451/1772998740445256712*x^8 + 10828541858311306243/1772998740445256712*x^7 + 848573266090063910/221624842555657089*x^6 - 470900945039589491/104294043555603336*x^5 - 403984626861453971/52147021777801668*x^4 - 147811640685010687/52147021777801668*x^3 + 752968837838211061/295499790074209452*x^2 + 318936197885705081/73874947518552363*x - 430436328811021379/221624842555657089\",\n \"248812736221882885/1815550710215942873088*x^26 + 4068346119956329/151295892517995239424*x^25 + 6541107876014627/302591785035990478848*x^24 - 1464075671416945/226943838776992859136*x^23 - 587756377246667/75647946258997619712*x^22 + 2873898978981769/226943838776992859136*x^21 + 447504732169655/37823973129498809856*x^20 - 6740545685755975/226943838776992859136*x^19 + 116635943978472121/1772998740445256712*x^18 - 5041783882763686067/14183989923562053696*x^17 - 390284599094549707/6303995521583134976*x^16 - 3474367421336306305/56735959694248214784*x^15 - 33396675765989906057/14183989923562053696*x^14 - 1551979456397048363/3545997480890513424*x^13 - 5700576084756859765/14183989923562053696*x^12 + 927175540370703425/14183989923562053696*x^11 - 333944513537293159/73874947518552363*x^10 - 72745355770727004481/3545997480890513424*x^9 - 12015229397541200885/443249685111314178*x^8 - 2967924655122801845/443249685111314178*x^7 + 36211676448353008717/1772998740445256712*x^6 + 210017401536052435/5794113530866852*x^5 + 448767838568829641/52147021777801668*x^4 + 27446709032642897/17382340592600556*x^3 - 3823409520765852190/221624842555657089*x^2 - 240219809986599013/221624842555657089*x + 473982525260309210/73874947518552363\",\n \"2025951261231677/75647946258997619712*x^26 + 968027457181603/25215982086332539904*x^25 + 4654711464333671/100863928345330159616*x^24 + 65588141963279/4727996641187351232*x^23 + 669604119316717/37823973129498809856*x^22 + 732131507041415/25215982086332539904*x^21 + 276172840220251/12607991043166269952*x^20 - 1172993448290521/75647946258997619712*x^19 + 730361744906024819/56735959694248214784*x^18 - 126584896096815151/2363998320593675616*x^17 - 510812907170211143/6303995521583134976*x^16 - 2220796614170624593/18911986564749404928*x^15 - 387354958069529567/787999440197891872*x^14 - 3295438172318737835/4727996641187351232*x^13 - 1363213647818803131/1575998880395783744*x^12 - 1447152814169236837/4727996641187351232*x^11 - 8373714128738245931/7091994961781026848*x^10 - 20050533600915781157/3545997480890513424*x^9 - 871173345825805747/73874947518552363*x^8 - 7699555830399267395/590999580148418904*x^7 - 862812912973320115/147749895037104726*x^6 + 27270148428847604/4345585148150139*x^5 + 71246417759243663/8691170296300278*x^4 + 102723644451511735/17382340592600556*x^3 + 150136568203530680/221624842555657089*x^2 + 121125900802389653/221624842555657089*x + 310109913921303785/221624842555657089\",\n \"-42230053460759465/1210367140143961915392*x^26 - 184329144589405/50431964172665079808*x^25 - 1029560772669953/151295892517995239424*x^24 - 110966492018105/12607991043166269952*x^23 - 188881767962529/25215982086332539904*x^22 + 351394294972919/50431964172665079808*x^21 - 128680048326461/28367979847124107392*x^20 - 13843913753701/2363998320593675616*x^19 - 105585462713456025/6303995521583134976*x^18 + 145061373616067741/1575998880395783744*x^17 + 7747300775669213/1181999160296837808*x^16 + 132995039056530665/9455993282374702464*x^15 + 1963594067095063619/3151997760791567488*x^14 + 273137668105069943/3151997760791567488*x^13 + 1368308984783349071/14183989923562053696*x^12 + 286280134239453011/1772998740445256712*x^11 + 6383765106388170125/4727996641187351232*x^10 + 3898381031118217331/787999440197891872*x^9 + 956598983596367861/147749895037104726*x^8 + 1165051796787346213/590999580148418904*x^7 - 464175120519459047/147749895037104726*x^6 - 9125999971563786/1448528382716713*x^5 - 40066734796758901/26073510888900834*x^4 - 38482856446339892/13036755444450417*x^3 + 2076751518932470763/886499370222628356*x^2 + 27511873594706026/73874947518552363*x + 17262490309114654/73874947518552363\",\n \"-20242157290055299/1815550710215942873088*x^26 + 4097976055290523/453887677553985718272*x^25 + 3681443406251183/151295892517995239424*x^24 + 3836181044603155/151295892517995239424*x^23 + 5314177748878175/226943838776992859136*x^22 + 1820059093116047/113471919388496429568*x^21 + 130172956000593/12607991043166269952*x^20 + 406040854466759/18911986564749404928*x^19 - 151821307254508853/28367979847124107392*x^18 + 3895257556095785099/113471919388496429568*x^17 - 44574466973818799/3545997480890513424*x^16 - 251692579008423125/4727996641187351232*x^15 + 3850730180026396255/28367979847124107392*x^14 - 2996614159893964237/14183989923562053696*x^13 - 1626321136696824343/3545997480890513424*x^12 - 1076981172688304279/2363998320593675616*x^11 - 547058222218472159/7091994961781026848*x^10 + 7083304156099902607/7091994961781026848*x^9 - 319161964196028521/590999580148418904*x^8 - 11002957923698696597/1772998740445256712*x^7 - 18093467733234354017/1772998740445256712*x^6 - 324999419345717171/34764681185201112*x^5 - 3873173306216935/5794113530866852*x^4 + 124616384070727093/26073510888900834*x^3 + 1372121531576802520/221624842555657089*x^2 + 356515984872008476/221624842555657089*x - 301526935264303301/221624842555657089\",\n \"4163879286522287/605183570071980957696*x^26 + 13949534365759111/453887677553985718272*x^25 + 12519112885171435/302591785035990478848*x^24 + 80961770041963/151295892517995239424*x^23 + 182042683207345/18911986564749404928*x^22 + 7005020535173909/226943838776992859136*x^21 + 54509333343611/4727996641187351232*x^20 - 1400220764361241/75647946258997619712*x^19 + 187978667727761225/56735959694248214784*x^18 - 421319767315872437/113471919388496429568*x^17 - 3559580443389324755/56735959694248214784*x^16 - 2099303811532828493/18911986564749404928*x^15 - 1094052942320180105/9455993282374702464*x^14 - 7689225182467118977/14183989923562053696*x^13 - 11239169029385946959/14183989923562053696*x^12 - 77473954826986309/1575998880395783744*x^11 - 618452557261218113/1772998740445256712*x^10 - 6104573300082206545/2363998320593675616*x^9 - 12707720881999714157/1772998740445256712*x^8 - 4702187463896062265/443249685111314178*x^7 - 3570657968579457211/590999580148418904*x^6 + 373498589020641371/104294043555603336*x^5 + 91589316630456745/13036755444450417*x^4 + 215859570112585591/52147021777801668*x^3 + 253168395432145286/221624842555657089*x^2 + 411146925356684648/221624842555657089*x - 456109516435910974/221624842555657089\",\n \"-1186131860475247/453887677553985718272*x^26 - 133332921586169/75647946258997619712*x^25 - 331830047764791/50431964172665079808*x^24 - 402162312262871/50431964172665079808*x^23 - 1720532971904447/151295892517995239424*x^22 - 496422837644249/113471919388496429568*x^21 - 103215821987827/37823973129498809856*x^20 - 96088512989665/12607991043166269952*x^19 - 3968321380293777/3151997760791567488*x^18 + 175299929315174017/28367979847124107392*x^17 + 14879093946419899/9455993282374702464*x^16 + 21838584241203299/1575998880395783744*x^15 + 144510435997935319/2363998320593675616*x^14 + 1671819509782840093/28367979847124107392*x^13 + 220117749037513667/1772998740445256712*x^12 + 83607382566049165/590999580148418904*x^11 + 721247528387569417/2363998320593675616*x^10 + 459839702965319993/886499370222628356*x^9 + 1672705850517247115/1772998740445256712*x^8 + 121094033528608648/73874947518552363*x^7 + 1323855843127185751/590999580148418904*x^6 + 227719937338573013/104294043555603336*x^5 + 26562487399925441/26073510888900834*x^4 - 36387346330458691/26073510888900834*x^3 - 232136238753540343/221624842555657089*x^2 - 583192384285450139/443249685111314178*x + 8256704776805312/221624842555657089\",\n \"-134145848611863043/3631101420431885746176*x^26 - 224105400600689/28367979847124107392*x^25 - 1201921787270027/75647946258997619712*x^24 - 594339338242201/25215982086332539904*x^23 - 689899086978445/25215982086332539904*x^22 - 145672518652789/18911986564749404928*x^21 - 215342637391217/18911986564749404928*x^20 - 106908861373985/6303995521583134976*x^19 - 671236575359150975/37823973129498809856*x^18 + 150544218579134035/1575998880395783744*x^17 + 192885242002484773/14183989923562053696*x^16 + 74193810054881047/2363998320593675616*x^15 + 2170477100108812905/3151997760791567488*x^14 + 975766376496964703/4727996641187351232*x^13 + 42815778416867047/147749895037104726*x^12 + 253981261538403895/590999580148418904*x^11 + 2818981729954520665/1575998880395783744*x^10 + 279144677127280531/49249965012368242*x^9 + 13909712192336231555/1772998740445256712*x^8 + 2065973778859525651/443249685111314178*x^7 + 584855922289928129/590999580148418904*x^6 - 29074360532102081/17382340592600556*x^5 + 9373364685309925/5794113530866852*x^4 - 5508298215161277/1448528382716713*x^3 + 225285097315176859/886499370222628356*x^2 - 322484009159142818/221624842555657089*x - 115272910930795163/221624842555657089\",\n \"-78141601009309771/1210367140143961915392*x^26 - 331830047764791/25215982086332539904*x^25 - 402162312262871/25215982086332539904*x^24 - 1720532971904447/75647946258997619712*x^23 - 496422837644249/56735959694248214784*x^22 - 103215821987827/18911986564749404928*x^21 - 96088512989665/6303995521583134976*x^20 - 43645536128861/4727996641187351232*x^19 - 3516134424292196167/113471919388496429568*x^18 + 1581132085782439421/9455993282374702464*x^17 + 21838584241203299/787999440197891872*x^16 + 37758568555163089/1181999160296837808*x^15 + 33262992764579387201/28367979847124107392*x^14 + 220117749037513667/886499370222628356*x^13 + 83607382566049165/295499790074209452*x^12 + 507743793502024957/1181999160296837808*x^11 + 34158307648186565287/14183989923562053696*x^10 + 17128766110850319187/1772998740445256712*x^9 + 15621125728365302453/1181999160296837808*x^8 + 1580060324989839103/295499790074209452*x^7 - 8159498522595514951/1772998740445256712*x^6 - 584698088956170337/52147021777801668*x^5 - 36387346330458691/13036755444450417*x^4 - 5444298501710251/1448528382716713*x^3 + 4980850267194883381/886499370222628356*x^2 + 73447738856422480/221624842555657089*x - 259581062090864993/221624842555657089\",\n \"30438312170943509/302591785035990478848*x^26 + 2192841969564019/226943838776992859136*x^25 + 3399333717834427/151295892517995239424*x^24 + 1590840988747273/50431964172665079808*x^23 + 5859927493775117/151295892517995239424*x^22 + 1370457949560983/113471919388496429568*x^21 + 533901096770261/37823973129498809856*x^20 + 309906235737635/12607991043166269952*x^19 + 114186290293810109/2363998320593675616*x^18 - 1884804389352096379/7091994961781026848*x^17 - 430407765844229243/28367979847124107392*x^16 - 213903372833371991/4727996641187351232*x^15 - 4265647739830687249/2363998320593675616*x^14 - 7526417768764628311/28367979847124107392*x^13 - 733907090039918231/1772998740445256712*x^12 - 84397161026113265/147749895037104726*x^11 - 9936279080821634917/2363998320593675616*x^10 - 26261001918853078243/1772998740445256712*x^9 - 66403186052056434491/3545997480890513424*x^8 - 2792537980031177539/443249685111314178*x^7 + 1358386327861875841/196999860049472968*x^6 + 1354695813854684509/104294043555603336*x^5 - 37630503103022656/13036755444450417*x^4 + 135536714203361677/26073510888900834*x^3 - 293367271739097605/49249965012368242*x^2 + 557136695905016651/147749895037104726*x + 110390619597402023/24624982506184121\",\n \"17509214354983411/453887677553985718272*x^26 + 40192420305770059/605183570071980957696*x^25 + 1222696925231885/25215982086332539904*x^24 + 27986941324699529/907775355107971436544*x^23 + 8026873676335223/453887677553985718272*x^22 + 6907691870781433/226943838776992859136*x^21 + 3499680870078049/151295892517995239424*x^20 - 231470199198013/25215982086332539904*x^19 + 5473795850829883/295499790074209452*x^18 - 8144986495683594841/113471919388496429568*x^17 - 5872819263210120775/37823973129498809856*x^16 - 6556495852367889097/56735959694248214784*x^15 - 42041014666731423643/56735959694248214784*x^14 - 3721052049227351307/3151997760791567488*x^13 - 25775496519947329841/28367979847124107392*x^12 - 2832871134835761127/4727996641187351232*x^11 - 1903216365094437563/1181999160296837808*x^10 - 1834103715537491033/221624842555657089*x^9 - 63275086762261492723/3545997480890513424*x^8 - 65674955575178602861/3545997480890513424*x^7 - 7746563727204614561/1181999160296837808*x^6 + 1087117417870510075/104294043555603336*x^5 + 1569580073796781397/104294043555603336*x^4 + 446698601870130347/52147021777801668*x^3 + 2048565563530674937/886499370222628356*x^2 - 645686034810311929/443249685111314178*x + 236889455405115472/221624842555657089\",\n \"-54142245572225527/907775355107971436544*x^26 - 24019956039415441/453887677553985718272*x^25 - 13181294891020573/302591785035990478848*x^24 - 4684593312955045/151295892517995239424*x^23 - 936301162686789/50431964172665079808*x^22 - 13193836617967253/453887677553985718272*x^21 - 98876692994521/2363998320593675616*x^20 + 1722107702505151/75647946258997619712*x^19 - 3252103853181017857/113471919388496429568*x^18 + 7655169304037684741/56735959694248214784*x^17 + 6885042229621411157/56735959694248214784*x^16 + 1933675182011469755/18911986564749404928*x^15 + 326515408086497363/295499790074209452*x^14 + 13480529040000126977/14183989923562053696*x^13 + 11497302206582633935/14183989923562053696*x^12 + 1037760193405149699/1575998880395783744*x^11 + 16349258826900018233/7091994961781026848*x^10 + 76934274606941597633/7091994961781026848*x^9 + 477621662192594150/24624982506184121*x^8 + 6837229483424182787/443249685111314178*x^7 + 267910389409576447/98499930024736484*x^6 - 1407101682424998559/104294043555603336*x^5 - 552656531289767387/52147021777801668*x^4 - 243328196728468049/52147021777801668*x^3 + 801585689214018139/443249685111314178*x^2 - 390479754675045479/443249685111314178*x - 1134043154731148248/221624842555657089\",\n \"9860365541065967/403455713381320638464*x^26 - 17487261804355319/907775355107971436544*x^25 - 740078095115215/37823973129498809856*x^24 - 776319158156755/56735959694248214784*x^23 - 2788290937640267/226943838776992859136*x^22 - 502954558905323/56735959694248214784*x^21 - 189919487329303/12607991043166269952*x^20 + 981853208919407/226943838776992859136*x^19 + 1332177554601292681/113471919388496429568*x^18 - 2126733566149571227/28367979847124107392*x^17 + 2404982630611938035/56735959694248214784*x^16 + 326471563984742455/7091994961781026848*x^15 - 11104219873060889243/28367979847124107392*x^14 + 1709899582100082767/4727996641187351232*x^13 + 2515513393289023081/7091994961781026848*x^12 + 3957809381802487379/14183989923562053696*x^11 - 3025949631738418369/4727996641187351232*x^10 - 9478070210902403575/3545997480890513424*x^9 - 868519989004989749/3545997480890513424*x^8 + 7451369680270080233/1181999160296837808*x^7 + 5568957357107182369/590999580148418904*x^6 + 180849683573035513/26073510888900834*x^5 - 195110663393188073/52147021777801668*x^4 - 4734204325567553/1448528382716713*x^3 - 5973074674405694417/886499370222628356*x^2 - 530787787920746927/221624842555657089*x + 493394576347818149/221624842555657089\",\n \"-3303468019317475/201727856690660319232*x^26 + 2497980996256495/453887677553985718272*x^25 + 1690463119662437/151295892517995239424*x^24 + 1423207171025929/151295892517995239424*x^23 + 76289416582417/113471919388496429568*x^22 + 827213417827549/113471919388496429568*x^21 + 184087224026125/37823973129498809856*x^20 + 29443828874441/4727996641187351232*x^19 - 223251092099796839/28367979847124107392*x^18 + 5297656990617177235/113471919388496429568*x^17 - 133660586056015499/14183989923562053696*x^16 - 120661073561203331/4727996641187351232*x^15 + 7318980643976843911/28367979847124107392*x^14 - 27599888543981753/295499790074209452*x^13 - 745850140546769675/3545997480890513424*x^12 - 136040704053303653/787999440197891872*x^11 + 3780426948106944343/7091994961781026848*x^10 + 4813579801181674165/2363998320593675616*x^9 + 2387925808446408667/1772998740445256712*x^8 - 5190444314325481493/1772998740445256712*x^7 - 10150332674471239511/1772998740445256712*x^6 - 519558383360005487/104294043555603336*x^5 + 42214072644099883/26073510888900834*x^4 + 51841691409809711/26073510888900834*x^3 + 1594073265583786579/443249685111314178*x^2 - 5051556857784574/221624842555657089*x - 285013525710692677/221624842555657089\",\n \"-15333741168769973/403455713381320638464*x^26 + 2815136185840097/100863928345330159616*x^25 + 12043730803331129/302591785035990478848*x^24 + 3474959863509743/226943838776992859136*x^23 + 722510753914789/75647946258997619712*x^22 + 672619590927655/25215982086332539904*x^21 + 305518752902027/18911986564749404928*x^20 - 207918485900587/56735959694248214784*x^19 - 689233464886825055/37823973129498809856*x^18 + 45531817867680431/393999720098945936*x^17 - 264309979886141623/4727996641187351232*x^16 - 5654755245331254811/56735959694248214784*x^15 + 17592759798912941663/28367979847124107392*x^14 - 585251677962344155/1181999160296837808*x^13 - 3554206554514174699/4727996641187351232*x^12 - 68659041702784204/221624842555657089*x^11 + 16570987918088954755/14183989923562053696*x^10 + 2300336606880695291/590999580148418904*x^9 + 171423595130237999/295499790074209452*x^8 - 37901186829333657907/3545997480890513424*x^7 - 27579176147672557859/1772998740445256712*x^6 - 449273369687111681/52147021777801668*x^5 + 38110089511971757/5794113530866852*x^4 + 280984973271701125/52147021777801668*x^3 + 6356235947230412399/886499370222628356*x^2 + 442473276818498834/221624842555657089*x - 280566502856558524/73874947518552363\",\n \"10608221811416807/201727856690660319232*x^26 + 12593270677496701/453887677553985718272*x^25 + 8847369188383009/302591785035990478848*x^24 - 2430244584769691/151295892517995239424*x^23 - 2588380975989979/151295892517995239424*x^22 + 4032026599498063/453887677553985718272*x^21 + 18565061872901/3151997760791567488*x^20 - 2605393054298251/75647946258997619712*x^19 + 2863819208032387261/113471919388496429568*x^18 - 226972273599024179/1772998740445256712*x^17 - 3434971446360562601/56735959694248214784*x^16 - 1633227149377444079/18911986564749404928*x^15 - 1032755271327973891/1181999160296837808*x^14 - 6087160023616754887/14183989923562053696*x^13 - 7467852343502929679/14183989923562053696*x^12 + 1159081265864437403/4727996641187351232*x^11 - 1268093893418664325/886499370222628356*x^10 - 6717415799053250285/787999440197891872*x^9 - 48384981694430314777/3545997480890513424*x^8 - 3337960898778665441/443249685111314178*x^7 + 2080105011795146149/295499790074209452*x^6 + 2152798688188267259/104294043555603336*x^5 + 628189949100368071/52147021777801668*x^4 + 213788275396860853/52147021777801668*x^3 - 1962978670261273327/221624842555657089*x^2 - 661164611015281871/443249685111314178*x + 698231189893047212/221624842555657089\",\n \"-85097826109862411/3631101420431885746176*x^26 - 2739176340943367/453887677553985718272*x^25 + 885676096964659/151295892517995239424*x^24 - 1139442831936487/113471919388496429568*x^23 + 2747709629970643/226943838776992859136*x^22 + 1357157923640285/113471919388496429568*x^21 - 52471365031709/4727996641187351232*x^20 + 184261766215891/56735959694248214784*x^19 - 1274984020794094249/113471919388496429568*x^18 + 852388132250288287/14183989923562053696*x^17 + 270153783334646227/14183989923562053696*x^16 - 583668877288615801/28367979847124107392*x^15 + 1379949778671542483/3151997760791567488*x^14 + 366322304313417545/4727996641187351232*x^13 - 983380819511495327/7091994961781026848*x^12 + 726671863224304777/3545997480890513424*x^11 + 2828676661256363963/4727996641187351232*x^10 + 968280725242622095/295499790074209452*x^9 + 1381870237445156815/295499790074209452*x^8 + 234924861765775771/590999580148418904*x^7 - 1764665119374255635/443249685111314178*x^6 - 58433593094730451/8691170296300278*x^5 - 201765140211565283/52147021777801668*x^4 - 11456645114466865/26073510888900834*x^3 + 2789548957851119365/886499370222628356*x^2 + 917126667327375556/221624842555657089*x - 279443505589307786/73874947518552363\",\n \"22923222363599/5991916535366148096*x^26 + 80707992154255/2246968700762305536*x^25 + 45887771249231/998652755894358016*x^24 + 84954374168075/4493937401524611072*x^23 + 17578755530387/1123484350381152768*x^22 + 64495219457563/2246968700762305536*x^21 + 4148631684017/187247391730192128*x^20 - 18495598338167/2246968700762305536*x^19 + 1033019351160731/561742175190576384*x^18 + 7860990528086015/1123484350381152768*x^17 - 41839137261703447/561742175190576384*x^16 - 64303746232053305/561742175190576384*x^15 - 3414646712789881/31207898621698688*x^14 - 30377993351426263/46811847932548032*x^13 - 120850105262813437/140435543797644096*x^12 - 54799123720387349/140435543797644096*x^11 - 3324724971268451/8777221487352756*x^10 - 159113804897340527/70217771898822048*x^9 - 17054521678717094/2194305371838189*x^8 - 226481747962276277/17554442974705512*x^7 - 88044632568800959/8777221487352756*x^6 - 35063387424085/344204764209912*x^5 + 2049055835707313/258153573157434*x^4 + 3282899952865177/516307146314868*x^3 + 960489162976685/243811707982021*x^2 + 383815758697721/731435123946063*x - 2072558562547705/2194305371838189\",\n \"47467517796222785/1210367140143961915392*x^26 + 202237114776755/75647946258997619712*x^25 + 935255944097689/75647946258997619712*x^24 + 131254645238705/12607991043166269952*x^23 + 143868387357787/12607991043166269952*x^22 - 1137842897293291/75647946258997619712*x^21 + 74802537264701/28367979847124107392*x^20 + 13594422633383/1181999160296837808*x^19 + 237314522721746515/12607991043166269952*x^18 - 123109021649275507/1181999160296837808*x^17 - 1465442723942563/1181999160296837808*x^16 - 133508526163342195/4727996641187351232*x^15 - 2206973334796079389/3151997760791567488*x^14 - 397724632505223427/4727996641187351232*x^13 - 2438495218236396419/14183989923562053696*x^12 - 321708286540184351/1772998740445256712*x^11 - 7490778783763014395/4727996641187351232*x^10 - 6358033142400207679/1181999160296837808*x^9 - 4242253803410324629/590999580148418904*x^8 - 273249078577978243/98499930024736484*x^7 + 1575579643141553663/590999580148418904*x^6 + 28922656737579658/4345585148150139*x^5 + 35839913792695922/13036755444450417*x^4 + 165311098117204285/26073510888900834*x^3 - 2512332810756018341/886499370222628356*x^2 - 47262822782645956/73874947518552363*x - 73841505489527317/73874947518552363\",\n \"-29310974766616609/1210367140143961915392*x^26 - 1378980006246731/226943838776992859136*x^25 + 174130885382127/25215982086332539904*x^24 - 60922380740625/12607991043166269952*x^23 + 82440873042473/37823973129498809856*x^22 - 2938286438392817/226943838776992859136*x^21 - 261577908945469/28367979847124107392*x^20 + 9536791989263/1181999160296837808*x^19 - 440050156298961109/37823973129498809856*x^18 + 55117988500172407/886499370222628356*x^17 + 69727651909784849/3545997480890513424*x^16 - 32932098946085865/1575998880395783744*x^15 + 4089775620297674159/9455993282374702464*x^14 + 1317785341900437751/14183989923562053696*x^13 - 140181525710928971/1575998880395783744*x^12 + 198890691897649039/1772998740445256712*x^11 + 3653131368863554259/4727996641187351232*x^10 + 13765298831682653539/3545997480890513424*x^9 + 8401839572372500763/1772998740445256712*x^8 - 7860201136916687/886499370222628356*x^7 - 2550131884787333083/590999580148418904*x^6 - 70703539254700654/13036755444450417*x^5 + 18376702354514494/13036755444450417*x^4 + 112561747693233077/26073510888900834*x^3 + 2538916574153609221/886499370222628356*x^2 - 21207134402212468/73874947518552363*x - 161699052479131175/73874947518552363\",\n \"1758134787244367/25215982086332539904*x^26 - 21364842971406881/907775355107971436544*x^25 - 3739334742476171/100863928345330159616*x^24 - 1745366629695773/226943838776992859136*x^23 - 124448821627967/25215982086332539904*x^22 - 6291197445092423/226943838776992859136*x^21 - 193391937498637/18911986564749404928*x^20 + 305301621359467/56735959694248214784*x^19 + 632615163559462691/18911986564749404928*x^18 - 1409371740566763907/7091994961781026848*x^17 + 644681979495199793/14183989923562053696*x^16 + 5446481869380747211/56735959694248214784*x^15 - 4207350404492726269/3545997480890513424*x^14 + 1441885128960018961/3545997480890513424*x^13 + 10074188920123506257/14183989923562053696*x^12 + 288972844403356937/1772998740445256712*x^11 - 4160856643378600967/1772998740445256712*x^10 - 15110859385362905017/1772998740445256712*x^9 - 11592842062083165319/1772998740445256712*x^8 + 32998423817203882907/3545997480890513424*x^7 + 16883871719782943989/886499370222628356*x^6 + 764216388621990937/52147021777801668*x^5 - 308064382731382957/52147021777801668*x^4 - 228235622847729917/52147021777801668*x^3 - 4662555162398270179/443249685111314178*x^2 - 38307124277834888/221624842555657089*x + 83540109610936030/24624982506184121\",\n \"-155919037674317519/3631101420431885746176*x^26 - 18868696634915131/907775355107971436544*x^25 - 1815476954082453/100863928345330159616*x^24 - 4626926653667/1772998740445256712*x^23 + 106911196616803/9455993282374702464*x^22 - 2100670607214401/226943838776992859136*x^21 - 56784668514967/4727996641187351232*x^20 + 457963342831405/28367979847124107392*x^19 - 779964826170378529/37823973129498809856*x^18 + 2991332508017865017/28367979847124107392*x^17 + 334994603325705857/7091994961781026848*x^16 + 2675006200106194937/56735959694248214784*x^15 + 21402502934578967513/28367979847124107392*x^14 + 4600103063888163823/14183989923562053696*x^13 + 4682703661349173523/14183989923562053696*x^12 + 150992574981388585/1772998740445256712*x^11 + 17595441907520985877/14183989923562053696*x^10 + 1545517086580500724/221624842555657089*x^9 + 4237631383931341415/393999720098945936*x^8 + 20350012100050243297/3545997480890513424*x^7 - 1805802575311349537/443249685111314178*x^6 - 60383307327145477/4345585148150139*x^5 - 99801640124369083/13036755444450417*x^4 - 35967839146355273/17382340592600556*x^3 + 5636452666987877281/886499370222628356*x^2 + 401205651652454242/221624842555657089*x - 401924473774354060/221624842555657089\",\n \"195686828441051177/3631101420431885746176*x^26 + 3088387493136245/453887677553985718272*x^25 + 200680785173807/50431964172665079808*x^24 + 393313547356733/50431964172665079808*x^23 - 246285141953671/75647946258997619712*x^22 - 5815057014258043/226943838776992859136*x^21 + 857246778867437/113471919388496429568*x^20 - 13947947817187/18911986564749404928*x^19 + 978292573157031293/37823973129498809856*x^18 - 16070821889140311347/113471919388496429568*x^17 - 116190980566847471/7091994961781026848*x^16 - 5475036895928571/787999440197891872*x^15 - 4509521535459465157/4727996641187351232*x^14 - 429610930555481179/3545997480890513424*x^13 + 53634965380541033/14183989923562053696*x^12 - 1102352389107974309/7091994961781026848*x^11 - 2846352645558328571/1575998880395783744*x^10 - 52578110908541068865/7091994961781026848*x^9 - 488383031306002873/49249965012368242*x^8 - 3395887440643946395/1772998740445256712*x^7 + 1085674411520525479/147749895037104726*x^6 + 1430568609650758943/104294043555603336*x^5 + 35974177805396763/5794113530866852*x^4 + 23115347846210285/4345585148150139*x^3 - 5668049399921427865/886499370222628356*x^2 - 793377034632025913/221624842555657089*x + 561208323442243432/221624842555657089\",\n \"-206408233431849817/3631101420431885746176*x^26 - 7060646273120767/453887677553985718272*x^25 - 3126354328454843/151295892517995239424*x^24 - 1861298267412057/50431964172665079808*x^23 - 2680734766739389/75647946258997619712*x^22 - 666116626016147/113471919388496429568*x^21 - 274376376231433/12607991043166269952*x^20 - 125844471046545/6303995521583134976*x^19 - 1032825293477993371/37823973129498809856*x^18 + 16493938983028905331/113471919388496429568*x^17 + 28269948268008041/886499370222628356*x^16 + 178760820769211119/4727996641187351232*x^15 + 5032818927420306707/4727996641187351232*x^14 + 5124388463979988637/14183989923562053696*x^13 + 1285017132250629433/3545997480890513424*x^12 + 541096840332584845/787999440197891872*x^11 + 12390214456325810981/4727996641187351232*x^10 + 61984180807913339143/7091994961781026848*x^9 + 3685025268359309221/295499790074209452*x^8 + 12553812751051655729/1772998740445256712*x^7 + 232724802801875689/295499790074209452*x^6 - 455431136464313611/104294043555603336*x^5 + 23239042134154327/52147021777801668*x^4 - 145305049493877793/26073510888900834*x^3 + 194162721118321105/886499370222628356*x^2 - 475712669716162001/221624842555657089*x - 881492341288009922/221624842555657089\",\n \"20804575316586847/403455713381320638464*x^26 + 60674347308188543/1815550710215942873088*x^25 + 7036578213000725/302591785035990478848*x^24 + 42068533142712593/907775355107971436544*x^23 + 9948212765688683/453887677553985718272*x^22 + 407570565004037/28367979847124107392*x^21 + 1736752405199753/151295892517995239424*x^20 + 2578050945359531/75647946258997619712*x^19 + 2809921809324804511/113471919388496429568*x^18 - 13907721502236859741/113471919388496429568*x^17 - 8928125875437866585/113471919388496429568*x^16 - 35668237653147991/886499370222628356*x^15 - 57027444368079766333/56735959694248214784*x^14 - 5952667756156571867/9455993282374702464*x^13 - 12338599503618237827/28367979847124107392*x^12 - 3853635028366599637/4727996641187351232*x^11 - 31876760070388491637/14183989923562053696*x^10 - 15460067191578286139/1772998740445256712*x^9 - 25061749361191129951/1772998740445256712*x^8 - 6423028865544002773/590999580148418904*x^7 - 3342359465489762861/1181999160296837808*x^6 + 607568690426694007/104294043555603336*x^5 + 572921840516415497/104294043555603336*x^4 + 97480466278334696/13036755444450417*x^3 - 19420864560274841/443249685111314178*x^2 - 1373717468391452717/443249685111314178*x + 897666573396813518/221624842555657089\",\n \"-331830047764791/50431964172665079808*x^26 - 402162312262871/50431964172665079808*x^25 - 1720532971904447/151295892517995239424*x^24 - 496422837644249/113471919388496429568*x^23 - 103215821987827/37823973129498809856*x^22 - 96088512989665/12607991043166269952*x^21 - 43645536128861/9455993282374702464*x^20 + 29702640842941/28367979847124107392*x^19 - 29920767706532885/9455993282374702464*x^18 + 21838584241203299/1575998880395783744*x^17 + 37758568555163089/2363998320593675616*x^16 + 807822177904464973/28367979847124107392*x^15 + 220117749037513667/1772998740445256712*x^14 + 83607382566049165/590999580148418904*x^13 + 507743793502024957/2363998320593675616*x^12 + 19616869057938344/221624842555657089*x^11 + 476727350961598295/1772998740445256712*x^10 + 99894098996407777/73874947518552363*x^9 + 1580060324989839103/590999580148418904*x^8 + 5414455261333379701/1772998740445256712*x^7 + 2719071851253287173/1772998740445256712*x^6 - 36387346330458691/26073510888900834*x^5 - 5444298501710251/2897056765433426*x^4 - 40140710467385875/26073510888900834*x^3 + 295072581412079569/443249685111314178*x^2 - 221403011614852705/221624842555657089*x - 78141601009309771/73874947518552363\",\n \"217849582636515047/1815550710215942873088*x^26 - 1607339374743149/453887677553985718272*x^25 + 8476491412466875/453887677553985718272*x^24 + 21220541445019/2363998320593675616*x^23 + 879739119209933/37823973129498809856*x^22 - 1325695878395611/453887677553985718272*x^21 + 1203271622298049/75647946258997619712*x^20 + 1257708110651425/56735959694248214784*x^19 + 2178435635953214069/37823973129498809856*x^18 - 18395907384628000217/56735959694248214784*x^17 + 87517239437029855/4727996641187351232*x^16 - 1302158865298435039/28367979847124107392*x^15 - 9864445392998066413/4727996641187351232*x^14 - 78312459441793477/28367979847124107392*x^13 - 136077576638594639/443249685111314178*x^12 - 1330621520302993993/7091994961781026848*x^11 - 8172065712018354059/1772998740445256712*x^10 - 119002859153405429185/7091994961781026848*x^9 - 70701149805415350313/3545997480890513424*x^8 - 5026512869961012229/1772998740445256712*x^7 + 26347036215531320095/1772998740445256712*x^6 + 554677464877886449/26073510888900834*x^5 - 101265618409831315/52147021777801668*x^4 + 65121928180006199/26073510888900834*x^3 - 355802382263986725/24624982506184121*x^2 + 35033745478978976/24624982506184121*x + 880788034808138744/221624842555657089\",\n \"91927468812768673/1815550710215942873088*x^26 + 23855917255729139/907775355107971436544*x^25 + 3842360760988803/100863928345330159616*x^24 + 6379820553815785/453887677553985718272*x^23 + 1874095861153979/151295892517995239424*x^22 + 6077531656588439/151295892517995239424*x^21 + 561836378400781/37823973129498809856*x^20 - 386363338439069/113471919388496429568*x^19 + 920207163116667437/37823973129498809856*x^18 - 1167514853297441099/9455993282374702464*x^17 - 1484765834071098883/28367979847124107392*x^16 - 5428538822443143625/56735959694248214784*x^15 - 1607726004796980361/1772998740445256712*x^14 - 737710653298737817/1575998880395783744*x^13 - 3588314892990189415/4727996641187351232*x^12 - 126091709950193273/443249685111314178*x^11 - 13779149240599744993/7091994961781026848*x^10 - 6945491510961818101/787999440197891872*x^9 - 3008830018463624924/221624842555657089*x^8 - 35964281378493958541/3545997480890513424*x^7 - 496361979061074619/886499370222628356*x^6 + 1022714697669415985/104294043555603336*x^5 + 21301469150474021/5794113530866852*x^4 + 124319545059598297/52147021777801668*x^3 - 291229445993983699/73874947518552363*x^2 + 407187337693357891/147749895037104726*x - 147130960622677415/221624842555657089\",\n \"83624352883032631/3631101420431885746176*x^26 - 5765106654951961/907775355107971436544*x^25 - 660804002091943/75647946258997619712*x^24 + 5101512397329313/453887677553985718272*x^23 + 2726755905933661/453887677553985718272*x^22 + 48388604292235/50431964172665079808*x^21 + 73309935502615/28367979847124107392*x^20 + 2917940933569697/226943838776992859136*x^19 + 104745450696816313/9455993282374702464*x^18 - 57590734047551867/886499370222628356*x^17 + 730481974096510633/56735959694248214784*x^16 + 819833216521625701/28367979847124107392*x^15 - 1340524635373220127/3151997760791567488*x^14 + 666987818496194075/7091994961781026848*x^13 + 2119204586223241697/14183989923562053696*x^12 - 921875892225941947/4727996641187351232*x^11 - 13102653202753337567/14183989923562053696*x^10 - 22101573909654049513/7091994961781026848*x^9 - 3035473757648928391/1181999160296837808*x^8 + 5948458409136571141/3545997480890513424*x^7 + 5291709814581189275/1772998740445256712*x^6 + 160066581029704885/104294043555603336*x^5 - 106839702728390381/26073510888900834*x^4 - 9554020539920284/13036755444450417*x^3 - 853683180126053467/295499790074209452*x^2 - 110940700745210011/443249685111314178*x + 254707562273795219/221624842555657089\",\n \"331830047764791/50431964172665079808*x^26 + 402162312262871/50431964172665079808*x^25 + 1720532971904447/151295892517995239424*x^24 + 496422837644249/113471919388496429568*x^23 + 103215821987827/37823973129498809856*x^22 + 96088512989665/12607991043166269952*x^21 + 43645536128861/9455993282374702464*x^20 - 29702640842941/28367979847124107392*x^19 + 29920767706532885/9455993282374702464*x^18 - 21838584241203299/1575998880395783744*x^17 - 37758568555163089/2363998320593675616*x^16 - 807822177904464973/28367979847124107392*x^15 - 220117749037513667/1772998740445256712*x^14 - 83607382566049165/590999580148418904*x^13 - 507743793502024957/2363998320593675616*x^12 - 19616869057938344/221624842555657089*x^11 - 476727350961598295/1772998740445256712*x^10 - 99894098996407777/73874947518552363*x^9 - 1580060324989839103/590999580148418904*x^8 - 5414455261333379701/1772998740445256712*x^7 - 2719071851253287173/1772998740445256712*x^6 + 36387346330458691/26073510888900834*x^5 + 5444298501710251/2897056765433426*x^4 + 40140710467385875/26073510888900834*x^3 - 295072581412079569/443249685111314178*x^2 + 221403011614852705/221624842555657089*x + 4266653490757408/73874947518552363\",\n \"-274909117608039911/3631101420431885746176*x^26 - 1874964804475715/453887677553985718272*x^25 + 1268469532673957/151295892517995239424*x^24 + 131705033598087/50431964172665079808*x^23 + 1109495466100393/75647946258997619712*x^22 + 1200764161189085/113471919388496429568*x^21 - 62004069978737/12607991043166269952*x^20 + 77152903317105/6303995521583134976*x^19 - 1374473217770077193/37823973129498809856*x^18 + 22868842585485058151/113471919388496429568*x^17 + 107398324223192093/7091994961781026848*x^16 - 100658304787770769/4727996641187351232*x^15 + 386601280672976911/295499790074209452*x^14 + 525269824706254435/14183989923562053696*x^13 - 623032545904234363/3545997480890513424*x^12 - 20497861894751455/787999440197891872*x^11 + 11021397067916540323/4727996641187351232*x^10 + 75598368599501179355/7091994961781026848*x^9 + 14982801799973245411/1181999160296837808*x^8 - 1522595973759661979/1772998740445256712*x^7 - 1093873593992911207/73874947518552363*x^6 - 2144394435949492187/104294043555603336*x^5 - 180407945077787179/52147021777801668*x^4 + 26619011039942575/26073510888900834*x^3 + 10026086708390779283/886499370222628356*x^2 + 651588566284088045/221624842555657089*x - 1004357682466482472/221624842555657089\",\n \"194744974066902619/3631101420431885746176*x^26 + 7272593813659441/226943838776992859136*x^25 + 11039716969556839/302591785035990478848*x^24 + 4880869451101489/453887677553985718272*x^23 + 612159611997053/50431964172665079808*x^22 + 1197912775350001/151295892517995239424*x^21 + 351568751774291/18911986564749404928*x^20 - 3340306484852245/226943838776992859136*x^19 + 730524417498222553/28367979847124107392*x^18 - 1217777392597468613/9455993282374702464*x^17 - 3893298609699487861/56735959694248214784*x^16 - 5272961909591055019/56735959694248214784*x^15 - 26945226120265632331/28367979847124107392*x^14 - 688613465935876921/1181999160296837808*x^13 - 3040045017976344763/4727996641187351232*x^12 - 3445222773371660815/14183989923562053696*x^11 - 9547676846840891597/4727996641187351232*x^10 - 62734683907674422449/7091994961781026848*x^9 - 3288393446588608798/221624842555657089*x^8 - 6217554985094757389/590999580148418904*x^7 + 841044600019742795/886499370222628356*x^6 + 1403611915928158457/104294043555603336*x^5 + 40063226398179757/4345585148150139*x^4 + 384554940631866283/52147021777801668*x^3 - 1047436396255185017/295499790074209452*x^2 - 10435555106298659/49249965012368242*x + 267615933169004671/221624842555657089\",\n \"118433455605473083/3631101420431885746176*x^26 + 4031226022255139/453887677553985718272*x^25 + 1562892459014629/151295892517995239424*x^24 + 553763031801001/25215982086332539904*x^23 + 73880510028175/3151997760791567488*x^22 + 2386883058890137/151295892517995239424*x^21 + 251260978099057/18911986564749404928*x^20 + 71322377339145/6303995521583134976*x^19 + 148201445868661895/9455993282374702464*x^18 - 98595172497125825/1181999160296837808*x^17 - 268267538623204573/14183989923562053696*x^16 - 162753226949370463/9455993282374702464*x^15 - 1927097832407797135/3151997760791567488*x^14 - 1975496492298692381/9455993282374702464*x^13 - 84448013737949699/393999720098945936*x^12 - 242171877438160115/590999580148418904*x^11 - 2449977170829572575/1575998880395783744*x^10 - 12378021310663702123/2363998320593675616*x^9 - 1582767323157709000/221624842555657089*x^8 - 6840567091396532869/1772998740445256712*x^7 - 75933770838411401/147749895037104726*x^6 + 22895733240548881/17382340592600556*x^5 - 49195489248351737/17382340592600556*x^4 + 3601327549459495/8691170296300278*x^3 + 210296194508370719/886499370222628356*x^2 + 603361699278619697/221624842555657089*x + 949884484139004419/221624842555657089\",\n \"693363590472571/1210367140143961915392*x^26 + 32508449813508143/1815550710215942873088*x^25 - 358085867566251/12607991043166269952*x^24 + 11152294133613877/907775355107971436544*x^23 - 248627281694265/12607991043166269952*x^22 - 202803589183405/113471919388496429568*x^21 + 475059394428871/453887677553985718272*x^20 - 14694017603879/28367979847124107392*x^19 + 9292538839252961/37823973129498809856*x^18 + 402893930117965717/56735959694248214784*x^17 - 7014817656151191443/113471919388496429568*x^16 + 4668816591674279479/56735959694248214784*x^15 - 2974479732606110935/56735959694248214784*x^14 - 3648646987724059325/14183989923562053696*x^13 + 14073013268874657977/28367979847124107392*x^12 - 31788926450884541/147749895037104726*x^11 + 4372323855523849417/14183989923562053696*x^10 - 4026808572328008901/7091994961781026848*x^9 - 1610069278648230071/886499370222628356*x^8 + 191107593697113680/221624842555657089*x^7 + 14228063847112566013/3545997480890513424*x^6 + 342550260289753427/104294043555603336*x^5 + 126267442586940343/34764681185201112*x^4 - 256390689049098347/52147021777801668*x^3 + 324721808387919413/443249685111314178*x^2 - 898065529205063986/221624842555657089*x + 182123220639317155/73874947518552363\",\n \"-84719395466546935/3631101420431885746176*x^26 + 29086155281512303/907775355107971436544*x^25 + 9506791737983215/302591785035990478848*x^24 + 5764574424636703/453887677553985718272*x^23 - 32248726015467/6303995521583134976*x^22 + 3652047995970725/226943838776992859136*x^21 + 797049715740265/37823973129498809856*x^20 - 225573653938633/14183989923562053696*x^19 - 140961486631677769/12607991043166269952*x^18 + 8860807735082101453/113471919388496429568*x^17 - 1007726588104809055/14183989923562053696*x^16 - 4446855587878005583/56735959694248214784*x^15 + 5199195299660432611/14183989923562053696*x^14 - 7548289960254384295/14183989923562053696*x^13 - 8170489479925586645/14183989923562053696*x^12 - 2012608577436331433/7091994961781026848*x^11 + 13426150459353040801/14183989923562053696*x^10 + 13174127228428520701/7091994961781026848*x^9 - 1275495382001233849/590999580148418904*x^8 - 3872888320201592661/393999720098945936*x^7 - 4819455534712728275/443249685111314178*x^6 - 162121891425376211/104294043555603336*x^5 + 130849687671383248/13036755444450417*x^4 + 227746951191815975/52147021777801668*x^3 + 1066839786021667625/295499790074209452*x^2 - 217454991525634463/73874947518552363*x - 58966668658850189/221624842555657089\",\n \"-19675189702512667/1210367140143961915392*x^26 - 4908025183336933/907775355107971436544*x^25 - 1170965852647759/50431964172665079808*x^24 - 9352520632662053/226943838776992859136*x^23 - 12879869150202955/453887677553985718272*x^22 - 10406777380775663/453887677553985718272*x^21 - 1659562616933557/113471919388496429568*x^20 - 8739439252000037/226943838776992859136*x^19 - 24637942752368489/3151997760791567488*x^18 + 4662340083296654485/113471919388496429568*x^17 + 190982873435097751/56735959694248214784*x^16 + 1208720950582804253/28367979847124107392*x^15 + 446872949072862205/1181999160296837808*x^14 + 2251069266320593927/14183989923562053696*x^13 + 6468475874315389235/14183989923562053696*x^12 + 3465245065924175737/4727996641187351232*x^11 + 16302974322925816805/14183989923562053696*x^10 + 5163032691571676317/1772998740445256712*x^9 + 15924156070252731299/3545997480890513424*x^8 + 7445832182414711519/1181999160296837808*x^7 + 7265905535023625933/886499370222628356*x^6 + 186269707813680229/26073510888900834*x^5 + 195788614788761969/52147021777801668*x^4 - 136231143335510585/26073510888900834*x^3 - 3214352140757762929/886499370222628356*x^2 - 1061156847124692325/443249685111314178*x - 20390678299778900/24624982506184121\",\n \"734012471518483/100863928345330159616*x^26 + 2384293833945479/100863928345330159616*x^25 + 421646958551521/18911986564749404928*x^24 + 2417434933220495/113471919388496429568*x^23 + 3835783804732931/226943838776992859136*x^22 + 147849759073147/18911986564749404928*x^21 + 794012092794689/37823973129498809856*x^20 - 592320667083887/226943838776992859136*x^19 + 98953258023752075/28367979847124107392*x^18 - 25829167738277041/3151997760791567488*x^17 - 999324823754946113/18911986564749404928*x^16 - 352505735978555905/7091994961781026848*x^15 - 2480911781983989623/14183989923562053696*x^14 - 6385178366008302317/14183989923562053696*x^13 - 312192084999836889/787999440197891872*x^12 - 6040205295553820939/14183989923562053696*x^11 - 1273002722287432979/2363998320593675616*x^10 - 6941628918539234713/3545997480890513424*x^9 - 6753360331199494967/1181999160296837808*x^8 - 27256872052940015699/3545997480890513424*x^7 - 876525398285684749/147749895037104726*x^6 - 2597574900621765/2897056765433426*x^5 + 230037086269550929/52147021777801668*x^4 + 55795176536100779/13036755444450417*x^3 + 1502100148419783229/443249685111314178*x^2 + 713329097905753784/221624842555657089*x - 361608255863412362/221624842555657089\",\n \"5778385846548785/907775355107971436544*x^26 + 3704252615003621/302591785035990478848*x^25 + 1955691938129315/151295892517995239424*x^24 + 2966002711821137/453887677553985718272*x^23 + 2953927941341737/151295892517995239424*x^22 + 764226460156169/113471919388496429568*x^21 + 53449472807421/6303995521583134976*x^20 - 957713167455245/226943838776992859136*x^19 + 43363851978530555/14183989923562053696*x^18 - 39810984410143499/3545997480890513424*x^17 - 504956989858906735/18911986564749404928*x^16 - 448455907465984433/14183989923562053696*x^15 - 419038722047190361/3545997480890513424*x^14 - 7398408272599007383/28367979847124107392*x^13 - 1683622579563406709/7091994961781026848*x^12 - 1953856955114701415/14183989923562053696*x^11 - 965818450109644513/1772998740445256712*x^10 - 5107683781380554593/3545997480890513424*x^9 - 11980465475886548923/3545997480890513424*x^8 - 14108661762435161567/3545997480890513424*x^7 - 4697758584397064983/1772998740445256712*x^6 - 82659223672652191/104294043555603336*x^5 + 31362726147865283/52147021777801668*x^4 + 49980326371875731/26073510888900834*x^3 + 732431192511467452/221624842555657089*x^2 + 1270246687587174311/443249685111314178*x + 85684449163848563/73874947518552363\",\n \"-261284629105646747/3631101420431885746176*x^26 + 5762833177025405/907775355107971436544*x^25 + 2228671327508899/151295892517995239424*x^24 + 531887203838081/453887677553985718272*x^23 + 863096475409519/37823973129498809856*x^22 + 1468567783701005/113471919388496429568*x^21 + 3933600615061/4727996641187351232*x^20 + 90198118146565/226943838776992859136*x^19 - 3919368407172563111/113471919388496429568*x^18 + 22296090801621162251/113471919388496429568*x^17 - 566409812112664067/56735959694248214784*x^16 - 553883563658467049/14183989923562053696*x^15 + 8873884600050871099/7091994961781026848*x^14 - 1169012278350914605/7091994961781026848*x^13 - 2049216675221820767/7091994961781026848*x^12 - 316241287635047645/14183989923562053696*x^11 + 29665128773197881367/14183989923562053696*x^10 + 69061718660462630113/7091994961781026848*x^9 + 3026112635422306795/295499790074209452*x^8 - 3780446700193756807/1181999160296837808*x^7 - 13489578655422688349/886499370222628356*x^6 - 1999333722283571365/104294043555603336*x^5 - 47960122065035507/26073510888900834*x^4 + 40211991081359615/26073510888900834*x^3 + 11140767153199859363/886499370222628356*x^2 + 995115717934950131/221624842555657089*x - 960672472753788560/221624842555657089\",\n \"22087656764554047/403455713381320638464*x^26 + 29307608373714865/907775355107971436544*x^25 + 12869457379233745/302591785035990478848*x^24 + 5204553097323713/226943838776992859136*x^23 + 1071675042945677/75647946258997619712*x^22 + 5815955191605367/226943838776992859136*x^21 + 139215189435139/6303995521583134976*x^20 - 110535350441707/56735959694248214784*x^19 + 331629203374520239/12607991043166269952*x^18 - 3735026882989872433/28367979847124107392*x^17 - 941177899821649945/14183989923562053696*x^16 - 5863028621281762411/56735959694248214784*x^15 - 28392637383129633841/28367979847124107392*x^14 - 2069624938814045969/3545997480890513424*x^13 - 11251050406961541937/14183989923562053696*x^12 - 809571822841190327/1772998740445256712*x^11 - 30064231055864605241/14183989923562053696*x^10 - 4150238470104768103/443249685111314178*x^9 - 54309867807390095813/3545997480890513424*x^8 - 4755994426829270323/393999720098945936*x^7 - 3438996608771003531/1772998740445256712*x^6 + 63294938138676677/5794113530866852*x^5 + 377917228484108669/52147021777801668*x^4 + 111244774565224111/17382340592600556*x^3 - 3483008549561085319/886499370222628356*x^2 + 181764901692191513/221624842555657089*x + 132737008231005220/73874947518552363\",\n \"-78126538066891019/1210367140143961915392*x^26 - 948510733731719/151295892517995239424*x^25 - 357586552392949/25215982086332539904*x^24 - 1125334323906213/50431964172665079808*x^23 - 1522822958398357/50431964172665079808*x^22 - 3207194260244821/151295892517995239424*x^21 - 381484147379161/37823973129498809856*x^20 - 217092570899315/12607991043166269952*x^19 - 195425498430726337/6303995521583134976*x^18 + 806084947853488015/4727996641187351232*x^17 + 94892146253072897/9455993282374702464*x^16 + 86357501023835219/3151997760791567488*x^15 + 3659035114625581841/3151997760791567488*x^14 + 423945812271900767/2363998320593675616*x^13 + 351053311953940055/1181999160296837808*x^12 + 239012763597903715/590999580148418904*x^11 + 4397863135985047079/1575998880395783744*x^10 + 23047279947397248767/2363998320593675616*x^9 + 4753270872811537859/393999720098945936*x^8 + 2431814130006084307/590999580148418904*x^7 - 764474686185822225/196999860049472968*x^6 - 229246004078535599/34764681185201112*x^5 + 26181985046807661/5794113530866852*x^4 - 3469442294475262/4345585148150139*x^3 + 356211586360891543/98499930024736484*x^2 - 622694282661329999/147749895037104726*x - 343822100477816803/73874947518552363\",\n \"-10515245820296353/907775355107971436544*x^26 - 929700905197251/100863928345330159616*x^25 - 1617506953391815/100863928345330159616*x^24 - 29816577147085/151295892517995239424*x^23 + 508107999459215/151295892517995239424*x^22 + 461420378138561/453887677553985718272*x^21 - 86820713369659/37823973129498809856*x^20 + 134151916445837/37823973129498809856*x^19 - 70111847186725127/12607991043166269952*x^18 + 378926819845353943/14183989923562053696*x^17 + 53805817656915145/3151997760791567488*x^16 + 813803193550332835/18911986564749404928*x^15 + 318839675235235895/1575998880395783744*x^14 + 2138010408529205431/14183989923562053696*x^13 + 3878938382671162625/14183989923562053696*x^12 + 2223159255315997/196999860049472968*x^11 + 65476167685254109/196999860049472968*x^10 + 13768802206097450039/7091994961781026848*x^9 + 13370278438023176807/3545997480890513424*x^8 + 4425836074236687823/1181999160296837808*x^7 + 176869197597508271/295499790074209452*x^6 - 483115779070644359/104294043555603336*x^5 - 263347219923293545/52147021777801668*x^4 - 224338209190289245/52147021777801668*x^3 + 792234731703488195/443249685111314178*x^2 + 1145613257346817049/443249685111314178*x - 79344442499632748/221624842555657089\",\n \"63876298081352195/1210367140143961915392*x^26 - 65246211771295925/1815550710215942873088*x^25 + 756982833486385/302591785035990478848*x^24 - 3198172542080465/302591785035990478848*x^23 + 3507830509009901/226943838776992859136*x^22 - 4231163431070515/226943838776992859136*x^21 - 2907419206082659/453887677553985718272*x^20 + 688015603060517/56735959694248214784*x^19 + 2874808996439829907/113471919388496429568*x^18 - 18058078718686976711/113471919388496429568*x^17 + 11102988803664665795/113471919388496429568*x^16 - 4654636146027585/393999720098945936*x^15 - 49705165451323821547/56735959694248214784*x^14 + 2697130951151003675/4727996641187351232*x^13 + 108563446998197137/28367979847124107392*x^12 + 1457393510776152839/7091994961781026848*x^11 - 10032774368779589489/4727996641187351232*x^10 - 437248849641443632/73874947518552363*x^9 - 2992388848170148255/886499370222628356*x^8 + 19559813689399101041/3545997480890513424*x^7 + 33006757683076730921/3545997480890513424*x^6 + 83290516699277870/13036755444450417*x^5 - 826074802647187411/104294043555603336*x^4 + 32959612255246963/13036755444450417*x^3 - 3393203705202403013/443249685111314178*x^2 + 854706848069444524/221624842555657089*x + 142102641425437217/221624842555657089\",\n \"80554228705572121/1815550710215942873088*x^26 + 1053248228367575/113471919388496429568*x^25 + 23044306288853183/907775355107971436544*x^24 - 2859841406442991/75647946258997619712*x^23 - 3170627557159037/226943838776992859136*x^22 - 219567544647799/56735959694248214784*x^21 + 289339307396039/75647946258997619712*x^20 - 6609925688288351/226943838776992859136*x^19 + 134208860198577833/6303995521583134976*x^18 - 6513384379134191647/56735959694248214784*x^17 - 723111944071047419/56735959694248214784*x^16 - 4905398855398055279/56735959694248214784*x^15 - 9528163564145726909/14183989923562053696*x^14 - 1768522513846012907/14183989923562053696*x^13 - 6048238440467488871/14183989923562053696*x^12 + 8915503460596803667/14183989923562053696*x^11 - 4315220356829943217/3545997480890513424*x^10 - 23048681366199744247/3545997480890513424*x^9 - 16819496323682893175/1772998740445256712*x^8 - 1997245903483343941/590999580148418904*x^7 + 2781353841013335847/295499790074209452*x^6 + 336977119854233393/17382340592600556*x^5 + 49726297290333699/5794113530866852*x^4 + 25087564344795611/17382340592600556*x^3 - 2656156095341287999/221624842555657089*x^2 - 233427049483132741/221624842555657089*x - 223679030502473348/221624842555657089\",\n \"15344336376977347/907775355107971436544*x^26 + 2005018467904059/100863928345330159616*x^25 + 5761711888026995/302591785035990478848*x^24 - 3398774999251135/226943838776992859136*x^23 - 403665028272495/12607991043166269952*x^22 + 499878505386331/453887677553985718272*x^21 + 63168768218533/18911986564749404928*x^20 - 1617233363400997/56735959694248214784*x^19 + 306842113521862489/37823973129498809856*x^18 - 1018142884428504599/28367979847124107392*x^17 - 209424359786395225/4727996641187351232*x^16 - 3314131194218902105/56735959694248214784*x^15 - 3790253213754505985/14183989923562053696*x^14 - 7286871014050610423/28367979847124107392*x^13 - 4689037927795134101/14183989923562053696*x^12 + 52323513108698126/221624842555657089*x^11 + 320266911126190469/7091994961781026848*x^10 - 21912316342240063391/7091994961781026848*x^9 - 22294767234797763353/3545997480890513424*x^8 - 17497788439923936961/3545997480890513424*x^7 + 5415343700053047787/1772998740445256712*x^6 + 728687180865016463/52147021777801668*x^5 + 644790401273316061/52147021777801668*x^4 + 166576973077080599/52147021777801668*x^3 - 1498411084802273240/221624842555657089*x^2 - 1226414024427535412/221624842555657089*x + 129714477774593132/221624842555657089\",\n \"129011012137583/56735959694248214784*x^26 - 1186131860475247/226943838776992859136*x^25 - 133332921586169/37823973129498809856*x^24 - 331830047764791/25215982086332539904*x^23 - 402162312262871/25215982086332539904*x^22 - 1720532971904447/75647946258997619712*x^21 - 496422837644249/56735959694248214784*x^20 - 103215821987827/18911986564749404928*x^19 + 20353496403044285/18911986564749404928*x^18 - 40803430859699923/4727996641187351232*x^17 + 175299929315174017/14183989923562053696*x^16 + 14879093946419899/4727996641187351232*x^15 - 9124058671816621/787999440197891872*x^14 + 144510435997935319/1181999160296837808*x^13 + 1671819509782840093/14183989923562053696*x^12 + 220117749037513667/886499370222628356*x^11 + 60385400381284225/295499790074209452*x^10 + 341439108654525065/1181999160296837808*x^9 + 295737695526314417/443249685111314178*x^8 + 1672705850517247115/886499370222628356*x^7 + 270054445678935224/73874947518552363*x^6 + 86616266418216551/17382340592600556*x^5 + 227719937338573013/52147021777801668*x^4 + 66161730244301299/26073510888900834*x^3 - 682574349638038915/221624842555657089*x^2 - 685897320062737775/221624842555657089*x - 1001671955066348381/221624842555657089\",\n \"-4608875779419793/100863928345330159616*x^26 + 1494557448944497/151295892517995239424*x^25 + 701108802537915/50431964172665079808*x^24 + 2576269326901909/151295892517995239424*x^23 + 600035850128749/113471919388496429568*x^22 + 78711428272865/12607991043166269952*x^21 + 136113618277635/12607991043166269952*x^20 + 37559090162681/4727996641187351232*x^19 - 1244693210018871355/56735959694248214784*x^18 + 4825786487372038109/37823973129498809856*x^17 - 93969515406413525/4727996641187351232*x^16 - 138017188223745631/4727996641187351232*x^15 + 21172290951961682437/28367979847124107392*x^14 - 161267141863698635/886499370222628356*x^13 - 99217536266836015/393999720098945936*x^12 - 755188097785133219/2363998320593675616*x^11 + 324442850191995980/221624842555657089*x^10 + 42769797690023102483/7091994961781026848*x^9 + 6295200200212939945/1181999160296837808*x^8 - 2547275273463456331/590999580148418904*x^7 - 21913377629586133601/1772998740445256712*x^6 - 1297641933490892011/104294043555603336*x^5 + 59677284082281311/26073510888900834*x^4 + 26072122207265105/8691170296300278*x^3 + 3544821136413407479/443249685111314178*x^2 - 44135089428434806/221624842555657089*x - 596476890337601068/221624842555657089\",\n \"-127670210271436081/3631101420431885746176*x^26 + 62268052594032253/1815550710215942873088*x^25 + 2354863951359547/100863928345330159616*x^24 + 7299120763611611/302591785035990478848*x^23 + 4314490319083547/453887677553985718272*x^22 - 125311780434853/25215982086332539904*x^21 + 1157603123044295/453887677553985718272*x^20 + 1709362014559967/113471919388496429568*x^19 - 1916269191150418627/113471919388496429568*x^18 + 1399279494568655563/12607991043166269952*x^17 - 9190935571407075463/113471919388496429568*x^16 - 241964941972878667/4727996641187351232*x^15 + 31050048682829989843/56735959694248214784*x^14 - 17605382327919327203/28367979847124107392*x^13 - 11030705330867930125/28367979847124107392*x^12 - 327994720015431563/787999440197891872*x^11 + 1584210632368330173/1575998880395783744*x^10 + 6919892687705022433/1772998740445256712*x^9 - 12849992035423729/1772998740445256712*x^8 - 35240734932127199641/3545997480890513424*x^7 - 46797206191714521947/3545997480890513424*x^6 - 765528623268489413/104294043555603336*x^5 + 1127484271336268141/104294043555603336*x^4 + 117652106092975855/13036755444450417*x^3 + 2046196453481968114/221624842555657089*x^2 - 170782339440287717/49249965012368242*x - 856981020108218005/221624842555657089\",\n \"14542236872294339/403455713381320638464*x^26 + 1540151737932881/453887677553985718272*x^25 + 1253814403476733/151295892517995239424*x^24 + 116376666210265/12607991043166269952*x^23 + 645729309290023/75647946258997619712*x^22 - 4139750982490531/453887677553985718272*x^21 + 38104237347775/9455993282374702464*x^20 + 5800854052395/787999440197891872*x^19 + 327213827058301861/18911986564749404928*x^18 - 1351353935143728713/14183989923562053696*x^17 - 18216415885626319/3545997480890513424*x^16 - 168734242595238325/9455993282374702464*x^15 - 6085485615446003473/9455993282374702464*x^14 - 2439068021501819107/28367979847124107392*x^13 - 414654244218016297/3545997480890513424*x^12 - 98575880506549345/590999580148418904*x^11 - 6678968753688128597/4727996641187351232*x^10 - 35902167833220566671/7091994961781026848*x^9 - 1476484262297037110/221624842555657089*x^8 - 3874709530106457235/1772998740445256712*x^7 + 74238955209506702/24624982506184121*x^6 + 83369725202384714/13036755444450417*x^5 + 85115853009178325/52147021777801668*x^4 + 114720060436510105/26073510888900834*x^3 - 329022887142040151/98499930024736484*x^2 - 35551246965569679/24624982506184121*x + 208974600870046355/73874947518552363\",\n \"-1186131860475247/151295892517995239424*x^26 - 133332921586169/25215982086332539904*x^25 - 995490143294373/50431964172665079808*x^24 - 1206486936788613/50431964172665079808*x^23 - 1720532971904447/50431964172665079808*x^22 - 496422837644249/37823973129498809856*x^21 - 103215821987827/12607991043166269952*x^20 - 288265538968995/12607991043166269952*x^19 - 11904964140881331/3151997760791567488*x^18 + 175299929315174017/9455993282374702464*x^17 + 14879093946419899/3151997760791567488*x^16 + 65515752723609897/1575998880395783744*x^15 + 144510435997935319/787999440197891872*x^14 + 1671819509782840093/9455993282374702464*x^13 + 220117749037513667/590999580148418904*x^12 + 83607382566049165/196999860049472968*x^11 + 721247528387569417/787999440197891872*x^10 + 459839702965319993/295499790074209452*x^9 + 1672705850517247115/590999580148418904*x^8 + 121094033528608648/24624982506184121*x^7 + 1323855843127185751/196999860049472968*x^6 + 227719937338573013/34764681185201112*x^5 + 15454036274037790/4345585148150139*x^4 - 36387346330458691/8691170296300278*x^3 - 379886133790645069/73874947518552363*x^2 - 435442489248345413/147749895037104726*x + 82131652295357675/73874947518552363\",\n \"-1335722062734569/25215982086332539904*x^26 - 4163766603947443/302591785035990478848*x^25 - 1269849260798423/151295892517995239424*x^24 - 1940931752176253/453887677553985718272*x^23 - 878570701491811/75647946258997619712*x^22 - 59565233327699/37823973129498809856*x^21 - 48208904745223/4727996641187351232*x^20 + 2395156994892575/226943838776992859136*x^19 - 1442599726066375505/56735959694248214784*x^18 + 5135736500231362601/37823973129498809856*x^17 + 207815587376430671/6303995521583134976*x^16 + 290959907285874917/14183989923562053696*x^15 + 26134114515929661683/28367979847124107392*x^14 + 422767121798791573/1575998880395783744*x^13 + 113757012466164859/787999440197891872*x^12 + 1509076708843021625/14183989923562053696*x^11 + 14201179373006170297/7091994961781026848*x^10 + 56653055527101571909/7091994961781026848*x^9 + 271845011071092394/24624982506184121*x^8 + 11973220412159277713/3545997480890513424*x^7 - 11395072850157916613/1772998740445256712*x^6 - 1204129237068508471/104294043555603336*x^5 - 12298057567220923/5794113530866852*x^4 - 33373986450406243/26073510888900834*x^3 + 113484499332979125/24624982506184121*x^2 - 59537704975392389/24624982506184121*x - 678118319585502884/221624842555657089\",\n \"-40096295248975/12607991043166269952*x^26 + 228792284528757/201727856690660319232*x^25 - 1458219791558255/75647946258997619712*x^24 + 2361146750379749/100863928345330159616*x^23 + 3518162508014621/453887677553985718272*x^22 - 851796890524357/75647946258997619712*x^21 - 1604412141243583/151295892517995239424*x^20 + 8176294237845421/226943838776992859136*x^19 - 21842627630734705/14183989923562053696*x^18 + 114709558858069999/12607991043166269952*x^17 - 466234225621555675/37823973129498809856*x^16 + 1193420470493430329/18911986564749404928*x^15 - 242169601820498651/56735959694248214784*x^14 - 1301003757957347849/28367979847124107392*x^13 + 3387833770101615349/9455993282374702464*x^12 - 5084330502370276295/14183989923562053696*x^11 - 453132253630971599/3545997480890513424*x^10 + 1140886688840786273/1772998740445256712*x^9 + 1395456361669278637/1181999160296837808*x^8 + 1421925549399805423/1181999160296837808*x^7 - 3149085178927281521/3545997480890513424*x^6 - 531740196069486179/104294043555603336*x^5 - 182912616451801841/104294043555603336*x^4 + 56187541417666451/52147021777801668*x^3 + 1000305711776407153/295499790074209452*x^2 - 143777509629391285/49249965012368242*x + 277830706148140769/221624842555657089\",\n \"222273242770558765/1815550710215942873088*x^26 + 772039610406593/151295892517995239424*x^25 + 2059690955765491/151295892517995239424*x^24 + 533978076352893/50431964172665079808*x^23 + 267760893162163/75647946258997619712*x^22 - 2247741144848597/56735959694248214784*x^21 + 483696035505901/113471919388496429568*x^20 + 171101769163981/18911986564749404928*x^19 + 185196957655704663/3151997760791567488*x^18 - 37068990438969697111/113471919388496429568*x^17 - 16953218942963437/2363998320593675616*x^16 - 149002632876371321/4727996641187351232*x^15 - 20257733177968781323/9455993282374702464*x^14 - 1656138000029540981/14183989923562053696*x^13 - 898214754718418773/7091994961781026848*x^12 - 1347987578393044933/7091994961781026848*x^11 - 3405166593188214131/787999440197891872*x^10 - 119055368049420394927/7091994961781026848*x^9 - 74726850058240157131/3545997480890513424*x^8 - 651443260998074141/196999860049472968*x^7 + 3279764091420651203/196999860049472968*x^6 + 2902795921483557259/104294043555603336*x^5 + 144066944180997233/17382340592600556*x^4 + 14699541918779443/1448528382716713*x^3 - 347920212151333394/24624982506184121*x^2 - 896081970409313549/221624842555657089*x + 207897486489255694/221624842555657089\",\n \"-1659150238823955/100863928345330159616*x^26 - 2010811561314355/100863928345330159616*x^25 - 8602664859522235/302591785035990478848*x^24 - 2482114188221245/226943838776992859136*x^23 - 516079109939135/75647946258997619712*x^22 - 480442564948325/25215982086332539904*x^21 - 218227680644305/18911986564749404928*x^20 + 148513204214705/56735959694248214784*x^19 - 149603838532664425/18911986564749404928*x^18 + 109192921206016495/3151997760791567488*x^17 + 188792842775815445/4727996641187351232*x^16 + 4039110889522324865/56735959694248214784*x^15 + 1100588745187568335/3545997480890513424*x^14 + 418036912830245825/1181999160296837808*x^13 + 2538718967510124785/4727996641187351232*x^12 + 49042172644845860/221624842555657089*x^11 + 2383636754807991475/3545997480890513424*x^10 + 499470494982038885/147749895037104726*x^9 + 7900301624949195515/1181999160296837808*x^8 + 27072276306666898505/3545997480890513424*x^7 + 6908492049411046477/1772998740445256712*x^6 - 181936731652293455/52147021777801668*x^5 - 27221492508551255/5794113530866852*x^4 - 200703552336929375/52147021777801668*x^3 - 38005495414600889/443249685111314178*x^2 - 221070265203646129/221624842555657089*x - 10666633726893520/73874947518552363\",\n \"-269070116974666969/3631101420431885746176*x^26 - 666664607930845/75647946258997619712*x^25 - 1659150238823955/50431964172665079808*x^24 - 2010811561314355/50431964172665079808*x^23 - 8602664859522235/151295892517995239424*x^22 - 2482114188221245/113471919388496429568*x^21 - 516079109939135/37823973129498809856*x^20 - 480442564948325/12607991043166269952*x^19 - 448741165198637355/12607991043166269952*x^18 + 2765310670122334477/14183989923562053696*x^17 + 74395469732099495/9455993282374702464*x^16 + 109192921206016495/1575998880395783744*x^15 + 12863326634963275385/9455993282374702464*x^14 + 8359097548914200465/28367979847124107392*x^13 + 1100588745187568335/1772998740445256712*x^12 + 418036912830245825/590999580148418904*x^11 + 17185593198880263175/4727996641187351232*x^10 + 19890511165993539071/1772998740445256712*x^9 + 51965408471521948301/3545997480890513424*x^8 + 605470167643043240/73874947518552363*x^7 + 79426058329148419/73874947518552363*x^6 - 269369901307779971/104294043555603336*x^5 + 304735140332605661/52147021777801668*x^4 - 181936731652293455/26073510888900834*x^3 + 11396918597992009/886499370222628356*x^2 - 2915961921427250695/443249685111314178*x - 845215846338601796/221624842555657089\",\n \"865198310061005/75647946258997619712*x^26 + 612415428304553/50431964172665079808*x^25 + 4150386353895007/302591785035990478848*x^24 - 3255004605533329/453887677553985718272*x^23 - 1649990792440351/50431964172665079808*x^22 + 846477349153187/75647946258997619712*x^21 + 41954512491937/18911986564749404928*x^20 - 3333147243775043/226943838776992859136*x^19 + 312021144232492393/56735959694248214784*x^18 - 235581024428103937/9455993282374702464*x^17 - 492766553899980161/18911986564749404928*x^16 - 2288553550100679551/56735959694248214784*x^15 - 688254213221599351/3545997480890513424*x^14 - 1101330992977190717/9455993282374702464*x^13 - 1257830173271830669/4727996641187351232*x^12 + 1572832649306872279/14183989923562053696*x^11 + 21063556351411367/98499930024736484*x^10 - 7995807226293391999/3545997480890513424*x^9 - 403054942967530105/98499930024736484*x^8 - 3041874462038016533/886499370222628356*x^7 + 3013329742495845839/1772998740445256712*x^6 + 1047521946976219891/104294043555603336*x^5 + 12331987220791198/1448528382716713*x^4 + 35474935206114899/52147021777801668*x^3 - 1546862055572944567/221624842555657089*x^2 - 2438184272743705277/443249685111314178*x + 25884766270674808/221624842555657089\",\n \"-1528270165261903/35599033533645938688*x^26 - 1899185023504727/53398550300468908032*x^25 - 793456018303571/17799516766822969344*x^24 - 764911532080493/26699275150234454016*x^23 - 78444015277579/4449879191705742336*x^22 - 331631726267513/13349637575117227008*x^21 - 19676105092469/741646531950957056*x^20 + 2205764638091/3337409393779306752*x^19 - 7651759470689243/370823265975478528*x^18 + 656357557300852127/6674818787558613504*x^17 + 3868984815970841/52147021777801668*x^16 + 354072567837920183/3337409393779306752*x^15 + 1352306682920193497/1668704696889653376*x^14 + 135589845147606241/208588087111206672*x^13 + 687786674383870901/834352348444826688*x^12 + 236422691707147729/417176174222413344*x^11 + 739652165479749977/417176174222413344*x^10 + 3255986150845762103/417176174222413344*x^9 + 2916596803554462865/208588087111206672*x^8 + 911392590207073807/69529362370402224*x^7 + 545255585329753141/104294043555603336*x^6 - 263469273966040933/34764681185201112*x^5 - 404112045641380811/52147021777801668*x^4 - 41477370723738971/5794113530866852*x^3 + 40279740177080293/26073510888900834*x^2 + 17105731343947667/13036755444450417*x - 11556753910872754/4345585148150139\",\n \"-202996920010439/12607991043166269952*x^26 - 74846182125500093/1815550710215942873088*x^25 - 5215958026279853/302591785035990478848*x^24 - 10437094162812143/302591785035990478848*x^23 - 8469135729120221/453887677553985718272*x^22 - 7209700456936009/226943838776992859136*x^21 - 6623188797644431/453887677553985718272*x^20 - 1218358644599921/113471919388496429568*x^19 - 109767793870844293/14183989923562053696*x^18 + 2662007207770306969/113471919388496429568*x^17 + 11638636185735782159/113471919388496429568*x^16 + 46897208139499557/1575998880395783744*x^15 + 20538293430554935451/56735959694248214784*x^14 + 7066081412084847443/9455993282374702464*x^13 + 10674215400798853153/28367979847124107392*x^12 + 4467259283153922779/7091994961781026848*x^11 + 2133914358275198009/2363998320593675616*x^10 + 2519059987579203977/590999580148418904*x^9 + 33305029676772366821/3545997480890513424*x^8 + 36997354517518746353/3545997480890513424*x^7 + 20932938365349626021/3545997480890513424*x^6 - 58485642390703037/104294043555603336*x^5 - 455177932070280451/104294043555603336*x^4 - 43242814480882147/26073510888900834*x^3 - 4031421211555862917/886499370222628356*x^2 - 40163456717461369/443249685111314178*x - 498001771911118114/221624842555657089\",\n \"17670528390044231/907775355107971436544*x^26 + 8271793865510175/201727856690660319232*x^25 + 3454495875970529/302591785035990478848*x^24 + 8090338514595415/907775355107971436544*x^23 + 112412915334941/25215982086332539904*x^22 - 1057942025589605/151295892517995239424*x^21 + 264653683361967/50431964172665079808*x^20 - 2886666849312259/226943838776992859136*x^19 + 1059441621744117475/113471919388496429568*x^18 - 3700905111674075665/113471919388496429568*x^17 - 3963091770262326419/37823973129498809856*x^16 - 749265311837692705/28367979847124107392*x^15 - 20322252619565950423/56735959694248214784*x^14 - 6845336773528365755/9455993282374702464*x^13 - 555208818854421115/3151997760791567488*x^12 - 2468541907092943405/14183989923562053696*x^11 - 283094459665690729/393999720098945936*x^10 - 28466926075944018365/7091994961781026848*x^9 - 16910577194199378029/1772998740445256712*x^8 - 14678391299119158109/1772998740445256712*x^7 + 293809245141842875/3545997480890513424*x^6 + 459091404950544833/52147021777801668*x^5 + 134088536505461103/11588227061733704*x^4 + 72116381658021118/13036755444450417*x^3 + 764762456146365137/886499370222628356*x^2 - 902670268822632556/221624842555657089*x - 210058649779943375/73874947518552363\",\n \"-11298556369952657/403455713381320638464*x^26 + 62424137255771597/1815550710215942873088*x^25 + 2131805420491621/100863928345330159616*x^24 + 5069365423651723/302591785035990478848*x^23 - 82121307367201/9455993282374702464*x^22 + 2230098927662117/453887677553985718272*x^21 + 7686574920055/50431964172665079808*x^20 + 443354715230959/56735959694248214784*x^19 - 84905489985974115/6303995521583134976*x^18 + 5210152142338727623/56735959694248214784*x^17 - 9337930258033916219/113471919388496429568*x^16 - 461225486564413537/9455993282374702464*x^15 + 2740249572490872937/6303995521583134976*x^14 - 16124913105413105911/28367979847124107392*x^13 - 10739004501075170711/28367979847124107392*x^12 - 253488711108526865/886499370222628356*x^11 + 15378176332005080105/14183989923562053696*x^10 + 9858000256395135793/3545997480890513424*x^9 - 4184411026180184381/3545997480890513424*x^8 - 32818799170680870245/3545997480890513424*x^7 - 11463904960114818391/1181999160296837808*x^6 - 306469479241869443/104294043555603336*x^5 + 1242323572325333833/104294043555603336*x^4 + 186829599817073363/26073510888900834*x^3 + 1301879776169267767/221624842555657089*x^2 - 1204257498253343381/221624842555657089*x - 286775175853034773/73874947518552363\",\n \"-43294617337689907/1815550710215942873088*x^26 - 194294577635657/453887677553985718272*x^25 + 680625542650015/302591785035990478848*x^24 + 1963618886274091/151295892517995239424*x^23 + 5616032873216705/226943838776992859136*x^22 - 148257653278991/226943838776992859136*x^21 + 14295376797489/3151997760791567488*x^20 + 926412223063571/75647946258997619712*x^19 - 650428507038176747/56735959694248214784*x^18 + 7253450935648483019/113471919388496429568*x^17 + 126726235830483745/56735959694248214784*x^16 + 3721781413542799/18911986564749404928*x^15 + 11037255597124643875/28367979847124107392*x^14 - 421732793669548991/7091994961781026848*x^13 - 495430811083627099/14183989923562053696*x^12 - 1090155920129737363/4727996641187351232*x^11 + 1260342036060820495/3545997480890513424*x^10 + 8173745992066406615/2363998320593675616*x^9 + 2191813219136560121/590999580148418904*x^8 - 201861730862027572/221624842555657089*x^7 - 5955583369419407635/886499370222628356*x^6 - 132645667519535289/11588227061733704*x^5 - 65121430461732515/17382340592600556*x^4 + 75715175887358891/52147021777801668*x^3 + 193622368483288960/24624982506184121*x^2 + 381282466328731900/73874947518552363*x - 32204625192476661/24624982506184121\",\n \"55250401746807223/403455713381320638464*x^26 + 30959778878705209/1815550710215942873088*x^25 + 1810750797525077/226943838776992859136*x^24 - 109295470848147/12607991043166269952*x^23 - 3309001122145675/226943838776992859136*x^22 - 2656927417550089/226943838776992859136*x^21 - 45662296757803/4727996641187351232*x^20 + 18489773868859/6303995521583134976*x^19 + 7455715867078821079/113471919388496429568*x^18 - 20418682281445898083/56735959694248214784*x^17 - 397801046813019187/9455993282374702464*x^16 - 363516308955503987/14183989923562053696*x^15 - 66666965594724827855/28367979847124107392*x^14 - 1234438541038498121/4727996641187351232*x^13 - 1574964982727352563/14183989923562053696*x^12 + 209426122651795819/1181999160296837808*x^11 - 63853171523324592889/14183989923562053696*x^10 - 46457709347699098151/2363998320593675616*x^9 - 88363129225860411359/3545997480890513424*x^8 - 3091539859416565307/886499370222628356*x^7 + 41964962329682553005/1772998740445256712*x^6 + 1907304427041942359/52147021777801668*x^5 + 543926641422355877/52147021777801668*x^4 + 46444509849853888/13036755444450417*x^3 - 17339759906103961249/886499370222628356*x^2 - 3036588950576852489/443249685111314178*x + 1302852300967644092/221624842555657089\",\n \"-111925488627143735/3631101420431885746176*x^26 + 24956295970014971/605183570071980957696*x^25 + 3528695719558445/113471919388496429568*x^24 + 1881738724323493/75647946258997619712*x^23 + 2864823010272763/113471919388496429568*x^22 - 130530764701/226943838776992859136*x^21 + 344610459612299/56735959694248214784*x^20 + 65863987807249/2363998320593675616*x^19 - 1679800949233816307/113471919388496429568*x^18 + 5824673810642471651/56735959694248214784*x^17 - 5439966335168151947/56735959694248214784*x^16 - 1016393905449149797/14183989923562053696*x^15 + 13556940080986374079/28367979847124107392*x^14 - 922527088939421761/1181999160296837808*x^13 - 2526833841965298161/4727996641187351232*x^12 - 1534585766138156153/3545997480890513424*x^11 + 7803923971175475317/14183989923562053696*x^10 + 6994973636588743213/2363998320593675616*x^9 - 888089675337980087/443249685111314178*x^8 - 22239241292302970989/1772998740445256712*x^7 - 8512451843318166605/590999580148418904*x^6 - 101777127462882640/13036755444450417*x^5 + 41168796029350570/4345585148150139*x^4 + 248227532453858659/26073510888900834*x^3 + 2617073457602553391/295499790074209452*x^2 - 374335123421491291/443249685111314178*x - 1062582116490581162/221624842555657089\",\n \"2\",\n \"-55296268664994593/1815550710215942873088*x^26 - 3941385025788815/907775355107971436544*x^25 + 448151636410739/151295892517995239424*x^24 + 7732105376538481/453887677553985718272*x^23 + 1185466580528933/151295892517995239424*x^22 + 109808651760565/113471919388496429568*x^21 + 27497109484477/9455993282374702464*x^20 + 4806432176918705/226943838776992859136*x^19 - 828786864042823925/56735959694248214784*x^18 + 2262813634525534231/28367979847124107392*x^17 + 743330001566781113/56735959694248214784*x^16 + 3293047136698151/14183989923562053696*x^15 + 6868684810205956879/14183989923562053696*x^14 + 1543810013617219165/28367979847124107392*x^13 - 371534784446211547/7091994961781026848*x^12 - 4141693321806992065/14183989923562053696*x^11 + 6137532888150088567/7091994961781026848*x^10 + 15593495300897034643/3545997480890513424*x^9 + 1616615921463630247/295499790074209452*x^8 - 268792052049004849/393999720098945936*x^7 - 15008421429480943613/1772998740445256712*x^6 - 1150864201135380359/104294043555603336*x^5 - 102686252871204191/52147021777801668*x^4 + 49169041501027255/26073510888900834*x^3 + 1150464905521737862/221624842555657089*x^2 - 182028984157574497/443249685111314178*x - 585030121672064704/221624842555657089\",\n \"170837572523200219/3631101420431885746176*x^26 + 13178088079743101/453887677553985718272*x^25 + 2179116806673909/50431964172665079808*x^24 + 718968664698853/14183989923562053696*x^23 + 8814078065309963/226943838776992859136*x^22 + 786042220250227/37823973129498809856*x^21 + 98483208102989/3151997760791567488*x^20 + 1426520904226315/56735959694248214784*x^19 + 2564520724513187377/113471919388496429568*x^18 - 532027502407431901/4727996641187351232*x^17 - 812531169675122689/14183989923562053696*x^16 - 2604353543886951673/28367979847124107392*x^15 - 26399816905145215003/28367979847124107392*x^14 - 8455760295676292741/14183989923562053696*x^13 - 1861655308700291029/2363998320593675616*x^12 - 3360988854663511745/3545997480890513424*x^11 - 33423608280456330617/14183989923562053696*x^10 - 7141659363502932905/886499370222628356*x^9 - 3057800847084870496/221624842555657089*x^8 - 23158712326710516923/1772998740445256712*x^7 - 2377625557089296803/295499790074209452*x^6 + 1130863033696429/1448528382716713*x^5 + 159186476184829957/52147021777801668*x^4 + 237287451371073379/26073510888900834*x^3 + 2847088332336407093/886499370222628356*x^2 + 470439281917573043/221624842555657089*x + 609278776049589469/221624842555657089\",\n \"-2144875790084827/201727856690660319232*x^26 - 37411831517495057/907775355107971436544*x^25 - 14439516474841319/302591785035990478848*x^24 + 410572788418813/453887677553985718272*x^23 - 1344868217548025/75647946258997619712*x^22 - 7540627780197749/226943838776992859136*x^21 - 217851893868529/12607991043166269952*x^20 + 3443984347176469/113471919388496429568*x^19 - 290004290796595459/56735959694248214784*x^18 + 994071551179768337/113471919388496429568*x^17 + 2492588424643762783/28367979847124107392*x^16 + 7305546031779104447/56735959694248214784*x^15 + 4900343371362839375/28367979847124107392*x^14 + 5276259781937601311/7091994961781026848*x^13 + 12845472196212651041/14183989923562053696*x^12 + 161136341743099559/3545997480890513424*x^11 + 463704604924526917/787999440197891872*x^10 + 24850369839285168877/7091994961781026848*x^9 + 34050495538851483007/3545997480890513424*x^8 + 5101516429358938287/393999720098945936*x^7 + 11438164960753879363/1772998740445256712*x^6 - 172853100895520731/34764681185201112*x^5 - 450844967469543145/52147021777801668*x^4 - 81015176731806557/17382340592600556*x^3 - 1285301855824487701/443249685111314178*x^2 - 754674077007546734/221624842555657089*x + 412424306723217062/221624842555657089\",\n \"-4586963348462947/201727856690660319232*x^26 + 5605152160942835/453887677553985718272*x^25 + 711132086618585/50431964172665079808*x^24 + 680609727275617/56735959694248214784*x^23 + 92599322167757/12607991043166269952*x^22 + 745986053535221/113471919388496429568*x^21 + 24927235957639/2363998320593675616*x^20 + 18988926886499/28367979847124107392*x^19 - 206222139860026789/18911986564749404928*x^18 + 1901831101533074891/28367979847124107392*x^17 - 187399685747101805/7091994961781026848*x^16 - 911958865879718773/28367979847124107392*x^15 + 5165713161692309927/14183989923562053696*x^14 - 407757100161654247/1772998740445256712*x^13 - 1817446752215583791/7091994961781026848*x^12 - 417234441682423447/1772998740445256712*x^11 + 4694834854190533837/7091994961781026848*x^10 + 4684806195705733349/1772998740445256712*x^9 + 4629387033806967883/3545997480890513424*x^8 - 7865836767398267201/1772998740445256712*x^7 - 14482116806368181263/1772998740445256712*x^6 - 79066770601131470/13036755444450417*x^5 + 66461897953573687/26073510888900834*x^4 + 66515385679371479/26073510888900834*x^3 + 2098924974528855509/443249685111314178*x^2 - 39305363511454616/221624842555657089*x - 8559840177664342/24624982506184121\",\n \"54032395656549749/1210367140143961915392*x^26 + 10122805033450711/907775355107971436544*x^25 + 1534147896090133/100863928345330159616*x^24 - 474945746839063/113471919388496429568*x^23 + 610038846333073/226943838776992859136*x^22 + 2847772093937473/226943838776992859136*x^21 + 10522239269675/4727996641187351232*x^20 - 574876502302157/56735959694248214784*x^19 + 2433851831934947699/113471919388496429568*x^18 - 3252657802969693657/28367979847124107392*x^17 - 321531972149012029/14183989923562053696*x^16 - 2434972974825004193/56735959694248214784*x^15 - 7175704792987911661/9455993282374702464*x^14 - 229169882422565437/1181999160296837808*x^13 - 4191433282779032275/14183989923562053696*x^12 + 217957639750707721/3545997480890513424*x^11 - 2445717593888773401/1575998880395783744*x^10 - 2061140588332550953/295499790074209452*x^9 - 33204478638704630987/3545997480890513424*x^8 - 13014315418918604269/3545997480890513424*x^7 + 2268047241723748225/443249685111314178*x^6 + 51347204635943741/4345585148150139*x^5 + 134370470131489387/52147021777801668*x^4 + 57458156699331547/52147021777801668*x^3 - 4782383238767412559/886499370222628356*x^2 + 255434471489418377/221624842555657089*x + 125830002129878443/221624842555657089\",\n \"1188956162178763/226943838776992859136*x^26 + 525267079733901/50431964172665079808*x^25 + 376405807634713/25215982086332539904*x^24 + 2478036845667481/151295892517995239424*x^23 + 589173906995461/453887677553985718272*x^22 - 3173020351872623/453887677553985718272*x^21 + 401478574534483/37823973129498809856*x^20 + 274417654270933/37823973129498809856*x^19 + 284194591920274045/113471919388496429568*x^18 - 257486428856738207/28367979847124107392*x^17 - 65643017511402163/3151997760791567488*x^16 - 305059056264238643/9455993282374702464*x^15 - 237495449806224893/1772998740445256712*x^14 - 883342873583884721/4727996641187351232*x^13 - 830599651080824483/3545997480890513424*x^12 - 121382598856804729/393999720098945936*x^11 - 808127441242993645/3545997480890513424*x^10 - 2243553282884883445/2363998320593675616*x^9 - 673422670741315943/221624842555657089*x^8 - 2665811056431332267/590999580148418904*x^7 - 1665977177959999895/443249685111314178*x^6 + 26218290999587851/104294043555603336*x^5 + 65475136424737883/13036755444450417*x^4 + 74977705962425164/13036755444450417*x^3 + 131348401298194357/221624842555657089*x^2 - 405343872014620501/443249685111314178*x + 319725563882089405/221624842555657089\",\n \"32852902440669785/1815550710215942873088*x^26 - 18868696634915131/907775355107971436544*x^25 - 1815476954082453/100863928345330159616*x^24 - 4626926653667/1772998740445256712*x^23 + 106911196616803/9455993282374702464*x^22 - 2100670607214401/226943838776992859136*x^21 - 56784668514967/4727996641187351232*x^20 + 457963342831405/28367979847124107392*x^19 + 82039846651976729/9455993282374702464*x^18 - 415697296412733463/7091994961781026848*x^17 + 334994603325705857/7091994961781026848*x^16 + 2675006200106194937/56735959694248214784*x^15 - 4258425405217369751/14183989923562053696*x^14 + 4600103063888163823/14183989923562053696*x^13 + 4682703661349173523/14183989923562053696*x^12 + 150992574981388585/1772998740445256712*x^11 - 6161955918746360569/7091994961781026848*x^10 - 2927977443696333349/1772998740445256712*x^9 + 20141197840504136/24624982506184121*x^8 + 20350012100050243297/3545997480890513424*x^7 + 10728401945762826061/1772998740445256712*x^6 - 3435815654237201/8691170296300278*x^5 - 99801640124369083/13036755444450417*x^4 - 35967839146355273/17382340592600556*x^3 - 616958726118746239/443249685111314178*x^2 + 622830494208111331/221624842555657089*x + 41325211336960118/221624842555657089\",\n \"-122614078051320527/3631101420431885746176*x^26 - 22230037088595247/907775355107971436544*x^25 - 299176444962455/25215982086332539904*x^24 - 2945002289889121/226943838776992859136*x^23 + 139161121943873/113471919388496429568*x^22 + 56139421055345/28367979847124107392*x^21 - 811834079625815/37823973129498809856*x^20 + 3661974592876307/226943838776992859136*x^19 - 1838084479410157337/113471919388496429568*x^18 + 2241058726808209931/28367979847124107392*x^17 + 3412417184560699855/56735959694248214784*x^16 + 11374540612596229/443249685111314178*x^15 + 17559616537046400079/28367979847124107392*x^14 + 124350801581948255/295499790074209452*x^13 + 1343002144407931585/7091994961781026848*x^12 + 4109446846134794579/14183989923562053696*x^11 + 5232970407337872617/4727996641187351232*x^10 + 19682610424258313057/3545997480890513424*x^9 + 3855317619348107899/393999720098945936*x^8 + 20534607846323360491/3545997480890513424*x^7 - 1204465857076075879/590999580148418904*x^6 - 495906608062260499/52147021777801668*x^5 - 192125107095032983/26073510888900834*x^4 - 10865055937211630/4345585148150139*x^3 + 607254663584961415/295499790074209452*x^2 - 10117020116628157/24624982506184121*x - 673190844397232405/221624842555657089\",\n \"14065145073499/3545997480890513424*x^26 + 939821093616275/151295892517995239424*x^25 + 362521414305037/75647946258997619712*x^24 - 1633769459788843/453887677553985718272*x^23 - 1307669683953139/151295892517995239424*x^22 + 23023361203921/7091994961781026848*x^21 + 71366322527617/37823973129498809856*x^20 - 983607180278749/113471919388496429568*x^19 + 9007901782825777/4727996641187351232*x^18 - 217794587026485365/28367979847124107392*x^17 - 45385060091410819/3151997760791567488*x^16 - 414727661562805591/28367979847124107392*x^15 - 446939688156248711/7091994961781026848*x^14 - 2341334853387519827/28367979847124107392*x^13 - 642760384356020203/7091994961781026848*x^12 + 93887195234640743/1772998740445256712*x^11 + 256833181316315071/7091994961781026848*x^10 - 738889484991573331/886499370222628356*x^9 - 1533737562226135097/886499370222628356*x^8 - 2508198456646772149/1772998740445256712*x^7 + 156561959766033760/221624842555657089*x^6 + 41474369184489753/11588227061733704*x^5 + 164159103275085817/52147021777801668*x^4 + 208520229829288/1448528382716713*x^3 - 253115019639720085/147749895037104726*x^2 - 46795453685248243/147749895037104726*x - 200568177306579553/221624842555657089\",\n \"24370509678457955/1815550710215942873088*x^26 - 2156746592080339/151295892517995239424*x^25 - 4214775092595859/151295892517995239424*x^24 - 5827161331191901/151295892517995239424*x^23 - 4466819279622007/113471919388496429568*x^22 - 8801717101945435/226943838776992859136*x^21 - 2164402279293835/113471919388496429568*x^20 - 84876112742431/3151997760791567488*x^19 + 364703103718150561/56735959694248214784*x^18 - 4874539896728583251/113471919388496429568*x^17 + 39288644134494357/1575998880395783744*x^16 + 5553576519892563/98499930024736484*x^15 - 4179196292211794611/28367979847124107392*x^14 + 4730739391869188065/14183989923562053696*x^13 + 8177104056570137465/14183989923562053696*x^12 + 4991885510365022173/7091994961781026848*x^11 + 1996307831369293559/7091994961781026848*x^10 - 5034669504172752217/7091994961781026848*x^9 + 2140436674693343231/1772998740445256712*x^8 + 1594263291637021203/196999860049472968*x^7 + 24574774429528799393/1772998740445256712*x^6 + 166077317394050091/11588227061733704*x^5 + 65644624273631357/13036755444450417*x^4 - 9742442304404299/4345585148150139*x^3 - 2054695881214841435/221624842555657089*x^2 - 140448683054489260/24624982506184121*x - 28543926076747878/24624982506184121\",\n \"1750389543864449/907775355107971436544*x^26 - 2121636836200481/302591785035990478848*x^25 - 16237416416409/6303995521583134976*x^24 - 322449887972365/37823973129498809856*x^23 - 1834233792388303/75647946258997619712*x^22 - 5247919452577207/453887677553985718272*x^21 - 107055731910863/12607991043166269952*x^20 + 90537410717329/75647946258997619712*x^19 + 104571202613084393/113471919388496429568*x^18 - 242818506238730203/28367979847124107392*x^17 + 333156358138068221/18911986564749404928*x^16 + 6676509463225175/2363998320593675616*x^15 - 104310397592768981/4727996641187351232*x^14 + 5128964637125776481/28367979847124107392*x^13 + 31610567405053927/443249685111314178*x^12 + 807176432861992213/4727996641187351232*x^11 + 1229793232846313359/3545997480890513424*x^10 + 137942456499025827/787999440197891872*x^9 + 3350368012832889425/3545997480890513424*x^8 + 2081869600352825933/1181999160296837808*x^7 + 70929052023840104/24624982506184121*x^6 + 61625038760297396/13036755444450417*x^5 + 49005640676121605/13036755444450417*x^4 + 21059211494787977/13036755444450417*x^3 - 999374202371277385/221624842555657089*x^2 - 1207819056996593488/221624842555657089*x + 480765642438922214/221624842555657089\",\n \"88183448622286913/1210367140143961915392*x^26 - 1671763833669119/907775355107971436544*x^25 - 539321078222789/75647946258997619712*x^24 + 5976660900951997/453887677553985718272*x^23 - 50370833195621/12607991043166269952*x^22 + 1761620295353447/453887677553985718272*x^21 + 123399760235423/18911986564749404928*x^20 + 2087874924227135/226943838776992859136*x^19 + 1984897585450102435/56735959694248214784*x^18 - 22324443058168983067/113471919388496429568*x^17 + 86331498272746079/56735959694248214784*x^16 + 723644134444076509/28367979847124107392*x^15 - 18386687727422395061/14183989923562053696*x^14 + 1260518875923689309/28367979847124107392*x^13 + 823367799648235105/7091994961781026848*x^12 - 3413487857129461555/14183989923562053696*x^11 - 34999058081724181561/14183989923562053696*x^10 - 12226064055595076651/1181999160296837808*x^9 - 20254513906493775445/1772998740445256712*x^8 + 284774325546442187/393999720098945936*x^7 + 19879384768891109767/1772998740445256712*x^6 + 502274027952368713/34764681185201112*x^5 - 18388972761724159/13036755444450417*x^4 - 9297113940827789/4345585148150139*x^3 - 2801615422078891621/295499790074209452*x^2 - 88435574577443820/24624982506184121*x + 892271266185758836/221624842555657089\",\n \"8504672472837275/113471919388496429568*x^26 - 18164852853338825/907775355107971436544*x^25 - 2412014551417007/100863928345330159616*x^24 + 937047090335033/113471919388496429568*x^23 + 673593253510273/37823973129498809856*x^22 - 1435168698171809/75647946258997619712*x^21 - 15029352585135/3151997760791567488*x^20 + 292524559566613/14183989923562053696*x^19 + 680235020122988015/18911986564749404928*x^18 - 332671490049855759/1575998880395783744*x^17 + 9375698400874064/221624842555657089*x^16 + 3874103804014109683/56735959694248214784*x^15 - 2320440856243266113/1772998740445256712*x^14 + 1365240335352411917/4727996641187351232*x^13 + 2184101645174429195/4727996641187351232*x^12 - 212671450992938053/1772998740445256712*x^11 - 10485455871919910185/3545997480890513424*x^10 - 5650072732408061663/590999580148418904*x^9 - 14938253763117659549/1772998740445256712*x^8 + 21373396598457452699/3545997480890513424*x^7 + 3228076047600346684/221624842555657089*x^6 + 134124112820854481/13036755444450417*x^5 - 23741727098640841/2897056765433426*x^4 - 82686237525895153/52147021777801668*x^3 - 511522613286189590/73874947518552363*x^2 + 181628420002538417/73874947518552363*x + 1178597262056127824/221624842555657089\",\n \"241472669180638237/3631101420431885746176*x^26 + 780187611294953/100863928345330159616*x^25 + 402831383532997/75647946258997619712*x^24 - 3542545392968941/453887677553985718272*x^23 + 35330679350371/50431964172665079808*x^22 - 4578985589532791/453887677553985718272*x^21 + 1767854643883/1575998880395783744*x^20 - 3135786209828945/226943838776992859136*x^19 + 452607086304432377/14183989923562053696*x^18 - 4965521504812991657/28367979847124107392*x^17 - 344930885245600739/18911986564749404928*x^16 - 512788822059111277/28367979847124107392*x^15 - 31993826466749924177/28367979847124107392*x^14 - 62232469298734973/443249685111314178*x^13 - 457773703989821047/7091994961781026848*x^12 + 1775872189649807785/14183989923562053696*x^11 - 32311972037364562925/14183989923562053696*x^10 - 22363052811671545319/2363998320593675616*x^9 - 10755784813579039181/886499370222628356*x^8 - 5330290591771870829/3545997480890513424*x^7 + 20353626204565426157/1772998740445256712*x^6 + 201980222528273119/11588227061733704*x^5 + 200838861324832933/52147021777801668*x^4 + 10925169822580475/4345585148150139*x^3 - 7119815921253998629/886499370222628356*x^2 + 428605908999948631/443249685111314178*x + 990329081726546680/221624842555657089\",\n \"-10141775045021571/403455713381320638464*x^26 + 1633769459788843/453887677553985718272*x^25 + 1307669683953139/151295892517995239424*x^24 - 23023361203921/7091994961781026848*x^23 - 71366322527617/37823973129498809856*x^22 + 983607180278749/113471919388496429568*x^21 - 2069645262139/1575998880395783744*x^20 - 78394208572381/28367979847124107392*x^19 - 152104597135322929/12607991043166269952*x^18 + 983050779726202607/14183989923562053696*x^17 - 39151725583876729/7091994961781026848*x^16 - 703685489929211173/28367979847124107392*x^15 + 12544159452428649817/28367979847124107392*x^14 - 93887195234640743/1772998740445256712*x^13 - 1229016008796565951/7091994961781026848*x^12 + 103364536755409943/1772998740445256712*x^11 + 12902046421247066621/14183989923562053696*x^10 + 726548898600879062/221624842555657089*x^9 + 728014939541527502/221624842555657089*x^8 - 329230417252054689/196999860049472968*x^7 - 2226909785786654323/443249685111314178*x^6 - 13453795904108993/2897056765433426*x^5 + 31535475077210831/26073510888900834*x^4 + 4588678418466757/8691170296300278*x^3 + 1935479529630654643/886499370222628356*x^2 + 260486544185502937/221624842555657089*x - 39662120004044521/73874947518552363\",\n \"-215886660854075149/3631101420431885746176*x^26 + 535270856369327/302591785035990478848*x^25 - 1723219393426583/151295892517995239424*x^24 - 8114943100063033/226943838776992859136*x^23 - 292368930012965/14183989923562053696*x^22 - 479540367796555/113471919388496429568*x^21 - 390899562541501/37823973129498809856*x^20 - 8479099729826011/226943838776992859136*x^19 - 1079584368352428341/37823973129498809856*x^18 + 1139428413417508235/7091994961781026848*x^17 - 64541650944270959/6303995521583134976*x^16 + 380755201512458443/28367979847124107392*x^15 + 31591174699527317125/28367979847124107392*x^14 + 4497665713747155/196999860049472968*x^13 + 90071013122866399/443249685111314178*x^12 + 8903320491957083933/14183989923562053696*x^11 + 35600396750592872329/14183989923562053696*x^10 + 29873008124076350401/3545997480890513424*x^9 + 8859696215593451627/886499370222628356*x^8 + 11460692442895793579/3545997480890513424*x^7 - 101711843613922093/49249965012368242*x^6 - 211673102123719531/52147021777801668*x^5 + 39055598425204525/13036755444450417*x^4 - 39012791727632995/8691170296300278*x^3 + 920598756309617741/295499790074209452*x^2 - 18493258302107773/24624982506184121*x - 408207324907945322/221624842555657089\",\n \"124656793728061067/3631101420431885746176*x^26 + 1392844440047005/226943838776992859136*x^25 + 1408353431245681/151295892517995239424*x^24 + 786516364221531/50431964172665079808*x^23 + 2418861549966223/151295892517995239424*x^22 + 377612274272485/113471919388496429568*x^21 + 109156484264869/12607991043166269952*x^20 + 117729209758305/12607991043166269952*x^19 + 623616718795625651/37823973129498809856*x^18 - 2534496005109238613/28367979847124107392*x^17 - 341133202165709849/28367979847124107392*x^16 - 82871867386152197/4727996641187351232*x^15 - 5933389556334697439/9455993282374702464*x^14 - 4182778749198948125/28367979847124107392*x^13 - 293671591964890897/1772998740445256712*x^12 - 28395646495392455/98499930024736484*x^11 - 7014450133088423161/4727996641187351232*x^10 - 4564764485325729565/886499370222628356*x^9 - 509875264242457685/73874947518552363*x^8 - 1339409577687873763/443249685111314178*x^7 + 369499960418628811/295499790074209452*x^6 + 402166100531185499/104294043555603336*x^5 - 31235307367938443/52147021777801668*x^4 + 62762021542444295/26073510888900834*x^3 - 1153830052329338231/886499370222628356*x^2 + 61775634032835497/443249685111314178*x + 123529615707600475/221624842555657089\",\n \"14301784674757439/1210367140143961915392*x^26 - 496422837644249/151295892517995239424*x^25 - 103215821987827/50431964172665079808*x^24 - 288265538968995/50431964172665079808*x^23 - 43645536128861/12607991043166269952*x^22 + 29702640842941/37823973129498809856*x^21 - 56063407701695/12607991043166269952*x^20 - 507203830515/393999720098945936*x^19 + 71469381371085977/12607991043166269952*x^18 - 1260676352615001191/37823973129498809856*x^17 + 37061990040806269/4727996641187351232*x^16 + 4339028665635575/1575998880395783744*x^15 - 75047552409532561/393999720098945936*x^14 + 4904217264484586/73874947518552363*x^13 + 36776921463688615/1181999160296837808*x^12 + 86766496406305565/787999440197891872*x^11 - 546228603283678447/1575998880395783744*x^10 - 3684016985766111299/2363998320593675616*x^9 - 131325615193450753/98499930024736484*x^8 + 612845376516221875/590999580148418904*x^7 + 323908241213044437/98499930024736484*x^6 + 116300354866019129/34764681185201112*x^5 - 4365802859545357/8691170296300278*x^4 - 6593668802996401/8691170296300278*x^3 - 556749232809680393/295499790074209452*x^2 + 3256961047554186/24624982506184121*x + 10147139264720765/73874947518552363\",\n \"16996528343616923/907775355107971436544*x^26 + 13352776609928207/907775355107971436544*x^25 + 2512000495610961/100863928345330159616*x^24 - 252178120830937/113471919388496429568*x^23 - 345203913424739/37823973129498809856*x^22 - 17450329816217/4727996641187351232*x^21 + 79130102144333/28367979847124107392*x^20 - 229080335089093/28367979847124107392*x^19 + 28326222489284785/3151997760791567488*x^18 - 409185625337449331/9455993282374702464*x^17 - 195539299506136159/7091994961781026848*x^16 - 3860561762165286077/56735959694248214784*x^15 - 2283294018421486259/7091994961781026848*x^14 - 136763238416155253/590999580148418904*x^13 - 2972168696373767131/7091994961781026848*x^12 + 2661006495347803/98499930024736484*x^11 - 1659011950232580775/3545997480890513424*x^10 - 3654324851201786015/1181999160296837808*x^9 - 21335003310637071209/3545997480890513424*x^8 - 6793817634865970015/1181999160296837808*x^7 - 427185353116601101/1772998740445256712*x^6 + 110446382726735777/13036755444450417*x^5 + 118178342478883577/13036755444450417*x^4 + 333027012825531973/52147021777801668*x^3 - 86042669245396335/24624982506184121*x^2 - 686451897414748735/221624842555657089*x - 304797526218696554/221624842555657089\",\n \"-17764161124026407/213594201201875632128*x^26 - 42347991758729/13349637575117227008*x^25 + 21855734536007/17799516766822969344*x^24 + 29429111415667/4449879191705742336*x^23 + 461756291310287/26699275150234454016*x^22 - 116602262473303/8899758383411484672*x^21 - 206351872567/2224939595852871168*x^20 + 45701114914333/4449879191705742336*x^19 - 8332347144206389/208588087111206672*x^18 + 494060593129623593/2224939595852871168*x^17 + 30442940352463667/3337409393779306752*x^16 - 132896131313239/1112469797926435584*x^15 + 595592958305947541/417176174222413344*x^14 + 1669986853498031/834352348444826688*x^13 + 3829900936537939/278117449481608896*x^12 - 10113175145162633/92705816493869632*x^11 + 2115715648673992511/834352348444826688*x^10 + 2538401252086642537/208588087111206672*x^9 + 2896440809885541941/208588087111206672*x^8 - 7762650955951927/104294043555603336*x^7 - 1572621998427901753/104294043555603336*x^6 - 292123611823571303/13036755444450417*x^5 - 79013131008080777/52147021777801668*x^4 + 59877084558496837/17382340592600556*x^3 + 733920537516827257/52147021777801668*x^2 + 67220413732234559/26073510888900834*x - 65658617362570229/13036755444450417\",\n \"-8246598641410925/453887677553985718272*x^26 - 2112284704713527/453887677553985718272*x^25 - 3268580118299875/151295892517995239424*x^24 - 2683118888727175/151295892517995239424*x^23 - 4266684881785511/226943838776992859136*x^22 - 215429961831979/12607991043166269952*x^21 - 166265237194999/37823973129498809856*x^20 - 373579809313799/18911986564749404928*x^19 - 494548411310259971/56735959694248214784*x^18 + 587160546155905777/12607991043166269952*x^17 + 3756238466506265/1772998740445256712*x^16 + 78112154781960275/1575998880395783744*x^15 + 10002580127958442271/28367979847124107392*x^14 + 1741134540185910221/14183989923562053696*x^13 + 493071150280689961/1181999160296837808*x^12 + 243305062354360673/787999440197891872*x^11 + 893600310031924897/886499370222628356*x^10 + 21245754130378177381/7091994961781026848*x^9 + 16024720768922173627/3545997480890513424*x^8 + 8551576417633809097/1772998740445256712*x^7 + 6330422778119459927/1772998740445256712*x^6 + 196914707906264989/104294043555603336*x^5 + 69784982632315271/52147021777801668*x^4 - 32747236286247163/8691170296300278*x^3 - 571870349768327051/443249685111314178*x^2 - 617224359998315797/221624842555657089*x - 9936429362605090/221624842555657089\",\n \"37786645204228511/1815550710215942873088*x^26 + 8647903193758967/453887677553985718272*x^25 + 1069997242098821/75647946258997619712*x^24 + 2126218889901623/75647946258997619712*x^23 + 2476008820264975/453887677553985718272*x^22 - 14174398602979/18911986564749404928*x^21 + 216439777465507/9455993282374702464*x^20 + 174512408097253/37823973129498809856*x^19 + 141708546327911381/14183989923562053696*x^18 - 1770217927594878773/37823973129498809856*x^17 - 1260419611415346833/28367979847124107392*x^16 - 9657643513040957/393999720098945936*x^15 - 12272133451132980455/28367979847124107392*x^14 - 9766127128395786307/28367979847124107392*x^13 - 91165726995931439/393999720098945936*x^12 - 429474510527997403/787999440197891872*x^11 - 1463909566529273591/1772998740445256712*x^10 - 25455237575902302919/7091994961781026848*x^9 - 1542530897084448970/221624842555657089*x^8 - 10864022780865980191/1772998740445256712*x^7 - 682790905621577719/221624842555657089*x^6 + 33766437565246222/13036755444450417*x^5 + 272832355599771061/52147021777801668*x^4 + 5986983795627813/1448528382716713*x^3 + 26399475747638101/221624842555657089*x^2 - 866880225995570911/443249685111314178*x + 369182669557913797/221624842555657089\",\n \"567391969675193/75647946258997619712*x^26 - 386134330958233/226943838776992859136*x^25 + 728824300122035/75647946258997619712*x^24 + 2197883265565/787999440197891872*x^23 + 257023017557917/37823973129498809856*x^22 - 3175907565136345/226943838776992859136*x^21 - 729591295628/221624842555657089*x^20 + 11565607311323/1181999160296837808*x^19 + 67973352966569609/18911986564749404928*x^18 - 148855110947136893/7091994961781026848*x^17 + 8166415467244645/886499370222628356*x^16 - 116152411500799895/4727996641187351232*x^15 - 316393048011320501/2363998320593675616*x^14 + 62305722192383735/14183989923562053696*x^13 - 1850064474817378579/14183989923562053696*x^12 - 7676099665158457/221624842555657089*x^11 - 159901975620810839/393999720098945936*x^10 - 2654400297758984749/3545997480890513424*x^9 - 1081230459464618281/886499370222628356*x^8 - 1233550954169360437/886499370222628356*x^7 - 243638060411444855/295499790074209452*x^6 + 8032215479019160/13036755444450417*x^5 + 9036102691201736/4345585148150139*x^4 + 46312140968406227/8691170296300278*x^3 + 3322970424698860/221624842555657089*x^2 - 34234978592429212/73874947518552363*x - 39256759661443082/24624982506184121\",\n \"-138689104307329955/3631101420431885746176*x^26 - 2982722747581939/113471919388496429568*x^25 - 445845761205163/12607991043166269952*x^24 - 4499041129925423/75647946258997619712*x^23 - 1476780492968605/28367979847124107392*x^22 - 2716086334466911/75647946258997619712*x^21 - 2007247366724885/56735959694248214784*x^20 - 99754091770871/3151997760791567488*x^19 - 2083350533616527047/113471919388496429568*x^18 + 141902772941374027/1575998880395783744*x^17 + 190319921914829543/3545997480890513424*x^16 + 314300988276834349/4727996641187351232*x^15 + 22549466808359597975/28367979847124107392*x^14 + 8183308346066336609/14183989923562053696*x^13 + 9795288600972436525/14183989923562053696*x^12 + 3927589945886552909/3545997480890513424*x^11 + 32508288691065187057/14183989923562053696*x^10 + 24796038028147733519/3545997480890513424*x^9 + 20905176583814704327/1772998740445256712*x^8 + 5272417191602907863/443249685111314178*x^7 + 18027988187576939021/1772998740445256712*x^6 + 291912422702495591/52147021777801668*x^5 + 83265417092263787/26073510888900834*x^4 - 130985010659386205/26073510888900834*x^3 - 4837781838378779357/886499370222628356*x^2 - 128506492546790578/24624982506184121*x - 237217133473679090/73874947518552363\",\n \"41459727338845531/1210367140143961915392*x^26 - 968027457181603/25215982086332539904*x^25 - 4654711464333671/100863928345330159616*x^24 - 65588141963279/4727996641187351232*x^23 - 669604119316717/37823973129498809856*x^22 - 732131507041415/25215982086332539904*x^21 - 276172840220251/12607991043166269952*x^20 + 1172993448290521/75647946258997619712*x^19 + 1863649148522806697/113471919388496429568*x^18 - 1045034313502339019/9455993282374702464*x^17 + 510812907170211143/6303995521583134976*x^16 + 2220796614170624593/18911986564749404928*x^15 - 1774952806056738067/3151997760791567488*x^14 + 3295438172318737835/4727996641187351232*x^13 + 1363213647818803131/1575998880395783744*x^12 + 1447152814169236837/4727996641187351232*x^11 - 13171925487537215153/14183989923562053696*x^10 - 10533694671764897125/3545997480890513424*x^9 + 2192656877763066235/1181999160296837808*x^8 + 7699555830399267395/590999580148418904*x^7 + 9435122400896021863/590999580148418904*x^6 + 62790502142358545/8691170296300278*x^5 - 71246417759243663/8691170296300278*x^4 - 102723644451511735/17382340592600556*x^3 - 7914166077150806657/886499370222628356*x^2 - 342750743358046742/221624842555657089*x + 354764613745667482/221624842555657089\",\n \"87184449360355/2114794071305699328*x^26 + 12440169434617/528698517826424832*x^25 + 1117357584505/58744279758491648*x^24 + 2372498845523/264349258913212416*x^23 - 339648348563/88116419637737472*x^22 + 1912549270823/88116419637737472*x^21 + 366528742879/22029104909434368*x^20 - 936292060015/66087314728303104*x^19 + 218157801645137/11014552454717184*x^18 - 45672695315467/458939685613216*x^17 - 894222649029425/16521828682075776*x^16 - 1547503292468603/33043657364151552*x^15 - 12199309701365783/16521828682075776*x^14 - 265577481447133/688409528419824*x^13 - 1043187617976361/2753638113679296*x^12 - 53346908907805/258153573157434*x^11 - 10833946444800157/8260914341037888*x^10 - 9720926969512967/1376819056839648*x^9 - 22707598685071315/2065228585259472*x^8 - 13579423215690343/2065228585259472*x^7 + 1192488435839455/516307146314868*x^6 + 11726808661025735/1032614292629736*x^5 + 233379043003597/43025595526239*x^4 + 39479600504299/516307146314868*x^3 - 829416893836181/172102382104956*x^2 - 63884850457157/28683730350826*x + 69979690988627/129076786578717\",\n \"-7263056353174725/403455713381320638464*x^26 - 72581243258839/4727996641187351232*x^25 - 1136975863752891/50431964172665079808*x^24 - 706271167184183/25215982086332539904*x^23 - 1769036647062157/151295892517995239424*x^22 - 11174855067084971/453887677553985718272*x^21 - 162078862135583/9455993282374702464*x^20 - 177795788955425/12607991043166269952*x^19 - 5103433187894191/590999580148418904*x^18 + 516918170350222945/12607991043166269952*x^17 + 287785218498144749/9455993282374702464*x^16 + 148614477658618133/3151997760791567488*x^15 + 900144487927851209/2363998320593675616*x^14 + 4040560377086760509/14183989923562053696*x^13 + 793122872275561511/1772998740445256712*x^12 + 1237083505809167375/2363998320593675616*x^11 + 4089220048887460969/4727996641187351232*x^10 + 2054038993121340191/590999580148418904*x^9 + 614049357353494651/98499930024736484*x^8 + 2044129025921177177/295499790074209452*x^7 + 1470003924424117699/295499790074209452*x^6 + 21152800206353369/26073510888900834*x^5 - 27876379105708531/26073510888900834*x^4 - 56981128072353565/26073510888900834*x^3 - 158562696684061469/98499930024736484*x^2 - 69915977063421257/49249965012368242*x - 227279432779326049/73874947518552363\",\n \"228864004170544693/3631101420431885746176*x^26 - 8207061306878861/605183570071980957696*x^25 + 1319808445612693/75647946258997619712*x^24 - 15433707372084115/907775355107971436544*x^23 + 49470968607179/113471919388496429568*x^22 - 330294095009377/453887677553985718272*x^21 + 600316282881695/151295892517995239424*x^20 - 856822310584307/56735959694248214784*x^19 + 858977149711411601/28367979847124107392*x^18 - 19965384234462396347/113471919388496429568*x^17 + 1696983828723601153/37823973129498809856*x^16 - 3126150540496130725/56735959694248214784*x^15 - 59187327603138832711/56735959694248214784*x^14 + 2201508571914333217/9455993282374702464*x^13 - 8448359600655084131/28367979847124107392*x^12 + 1954914180436821383/7091994961781026848*x^11 - 3361120425183610601/1575998880395783744*x^10 - 60302979547013244091/7091994961781026848*x^9 - 31727461179559096709/3545997480890513424*x^8 + 412810239097372031/886499370222628356*x^7 + 3814993110375789999/393999720098945936*x^6 + 383537012765557717/26073510888900834*x^5 - 97432575625643731/104294043555603336*x^4 + 104646360920217733/52147021777801668*x^3 - 4946710110389571199/443249685111314178*x^2 + 527907039753018373/221624842555657089*x - 21656872066808299/73874947518552363\",\n \"9829440405008453/1815550710215942873088*x^26 + 52875119455150741/1815550710215942873088*x^25 + 6377155663400519/302591785035990478848*x^24 + 5319305594940347/302591785035990478848*x^23 + 2252489055416185/226943838776992859136*x^22 + 3249059647621205/453887677553985718272*x^21 - 560323487862059/151295892517995239424*x^20 + 220447008512623/14183989923562053696*x^19 + 293649120372579023/113471919388496429568*x^18 - 30890599153058849/56735959694248214784*x^17 - 7736256063320519347/113471919388496429568*x^16 - 151977392780877671/3151997760791567488*x^15 - 7719063610409415485/56735959694248214784*x^14 - 4978581131731485595/9455993282374702464*x^13 - 10933325230772923895/28367979847124107392*x^12 - 1014611033158455959/3545997480890513424*x^11 - 79912574089065939/196999860049472968*x^10 - 729679171972122483/393999720098945936*x^9 - 6792936064035405761/1181999160296837808*x^8 - 30385865501679006217/3545997480890513424*x^7 - 18316622965258605431/3545997480890513424*x^6 + 106550094039047405/104294043555603336*x^5 + 782504237346085655/104294043555603336*x^4 + 187981594659191831/26073510888900834*x^3 + 3092714155331407831/886499370222628356*x^2 - 586700907682120994/221624842555657089*x - 62375999289762219/24624982506184121\",\n \"-193608272959577593/3631101420431885746176*x^26 - 1087705413354529/453887677553985718272*x^25 - 713380454877617/151295892517995239424*x^24 - 2142828858427277/151295892517995239424*x^23 - 6056512949641171/226943838776992859136*x^22 - 46821694089185/113471919388496429568*x^21 - 82199350252103/12607991043166269952*x^20 - 202951268624191/18911986564749404928*x^19 - 2906714094476640281/113471919388496429568*x^18 + 16136840728314827755/113471919388496429568*x^17 + 29612327973234637/7091994961781026848*x^16 + 9242182182852921/1575998880395783744*x^15 + 3356659318119520007/3545997480890513424*x^14 + 178056053264418885/1575998880395783744*x^13 + 281728541458039453/3545997480890513424*x^12 + 607802933993704621/2363998320593675616*x^11 + 32931689465804574671/14183989923562053696*x^10 + 18212524303291139653/2363998320593675616*x^9 + 2716273000130440037/295499790074209452*x^8 + 3073450801112621111/1772998740445256712*x^7 - 2098941226900363781/443249685111314178*x^6 - 694004546552617973/104294043555603336*x^5 + 168788427455989091/52147021777801668*x^4 - 47307676463093275/26073510888900834*x^3 + 842310752753373887/295499790074209452*x^2 - 61017823174731609/24624982506184121*x - 355053654769486369/73874947518552363\",\n \"7886796310599317/302591785035990478848*x^26 + 62283844522532921/1815550710215942873088*x^25 + 33366280867660157/907775355107971436544*x^24 + 3118193809404807/100863928345330159616*x^23 + 2897456460637295/151295892517995239424*x^22 + 288809672816131/14183989923562053696*x^21 + 10021601745368857/453887677553985718272*x^20 + 3156623966784745/113471919388496429568*x^19 + 59068954236183755/4727996641187351232*x^18 - 1518635413002463873/28367979847124107392*x^17 - 8461366818709553047/113471919388496429568*x^16 - 1191007686164267831/14183989923562053696*x^15 - 9915736128403427375/18911986564749404928*x^14 - 17999656519022506951/28367979847124107392*x^13 - 19269724440910689121/28367979847124107392*x^12 - 1372061536892909423/2363998320593675616*x^11 - 9325004833552135825/7091994961781026848*x^10 - 36488319123458391481/7091994961781026848*x^9 - 12889233576140692883/1181999160296837808*x^8 - 4861126078144296451/393999720098945936*x^7 - 22620345277124039647/3545997480890513424*x^6 + 26536641387288128/13036755444450417*x^5 + 238891973772375925/34764681185201112*x^4 + 74701225711159786/13036755444450417*x^3 + 627506220825598837/886499370222628356*x^2 - 546055636933725605/443249685111314178*x - 25911015228699109/73874947518552363\",\n \"43332546687624875/1815550710215942873088*x^26 + 786802893044821/56735959694248214784*x^25 + 482517860841621/50431964172665079808*x^24 + 1104951714640013/113471919388496429568*x^23 - 85594672345031/151295892517995239424*x^22 + 53485097787383/37823973129498809856*x^21 + 77301696073247/6303995521583134976*x^20 - 642766206172669/113471919388496429568*x^19 + 108412983095362153/9455993282374702464*x^18 - 725103732604132919/12607991043166269952*x^17 - 927333401393985137/28367979847124107392*x^16 - 596966865519499741/28367979847124107392*x^15 - 12450378416167518941/28367979847124107392*x^14 - 2245171174121902961/9455993282374702464*x^13 - 385879094949220271/2363998320593675616*x^12 - 1446547643593853893/7091994961781026848*x^11 - 705383839797132301/886499370222628356*x^10 - 9232821060505843109/2363998320593675616*x^9 - 11267914542271893965/1772998740445256712*x^8 - 3399058046130162637/886499370222628356*x^7 + 1610714628186800333/1772998740445256712*x^6 + 327127147966054451/52147021777801668*x^5 + 25031149256524535/5794113530866852*x^4 + 49909045757901991/26073510888900834*x^3 - 321802904458796489/147749895037104726*x^2 - 240142803388111573/147749895037104726*x + 344026410494978117/221624842555657089\",\n \"-191926759164855509/1815550710215942873088*x^26 - 319137081075865/28367979847124107392*x^25 + 701067216953701/151295892517995239424*x^24 - 143414679435261/12607991043166269952*x^23 + 393259422752833/151295892517995239424*x^22 - 371901181337075/453887677553985718272*x^21 - 292659172073249/18911986564749404928*x^20 + 107749564945585/12607991043166269952*x^19 - 1919659144681199449/37823973129498809856*x^18 + 31632779427948441283/113471919388496429568*x^17 + 921491092299917821/28367979847124107392*x^16 - 169594888073390869/9455993282374702464*x^15 + 17574492734766911281/9455993282374702464*x^14 + 41446950129107390/221624842555657089*x^13 - 151617960168857203/1772998740445256712*x^12 + 572764393804189435/2363998320593675616*x^11 + 8464416761815059607/2363998320593675616*x^10 + 27263428726942431445/1772998740445256712*x^9 + 22309090289802862001/1181999160296837808*x^8 + 1205857156475131669/886499370222628356*x^7 - 9771109511716829803/590999580148418904*x^6 - 1254744386365679243/52147021777801668*x^5 - 98983207577033267/52147021777801668*x^4 + 52202374722022781/26073510888900834*x^3 + 5593792577003942057/443249685111314178*x^2 + 679646118296386835/443249685111314178*x - 1519249186270978025/221624842555657089\",\n \"32260632879331231/453887677553985718272*x^26 - 17325911468743259/907775355107971436544*x^25 - 11758898856797111/302591785035990478848*x^24 - 2185990882386557/113471919388496429568*x^23 - 314574632135449/12607991043166269952*x^22 - 6547295561855449/226943838776992859136*x^21 - 104658343614371/9455993282374702464*x^20 - 77362534654175/7091994961781026848*x^19 + 214945614136334379/6303995521583134976*x^18 - 44374856406080992/221624842555657089*x^17 + 115691962500870239/3545997480890513424*x^16 + 5403215578938454793/56735959694248214784*x^15 - 2107027297286973823/1772998740445256712*x^14 + 5432782844037735977/14183989923562053696*x^13 + 10549610143711575187/14183989923562053696*x^12 + 633682187336145175/1772998740445256712*x^11 - 7111425403517690273/3545997480890513424*x^10 - 15668958949415411693/1772998740445256712*x^9 - 2164601889336364733/295499790074209452*x^8 + 3754948945920394857/393999720098945936*x^7 + 38991806647075715311/1772998740445256712*x^6 + 266177754655370333/13036755444450417*x^5 - 45390152328223129/26073510888900834*x^4 - 293503587234792931/52147021777801668*x^3 - 981028783137418520/73874947518552363*x^2 - 207240446501363137/73874947518552363*x + 1224424041635621296/221624842555657089\",\n \"4829152651321219/302591785035990478848*x^26 + 23914237842004613/1815550710215942873088*x^25 + 8565239794770119/907775355107971436544*x^24 + 3445965920635907/907775355107971436544*x^23 + 3482396816903969/453887677553985718272*x^22 + 826385833695101/113471919388496429568*x^21 + 1008243075927649/453887677553985718272*x^20 + 2227941663063845/113471919388496429568*x^19 + 216710975808168917/28367979847124107392*x^18 - 1036266332982285097/28367979847124107392*x^17 - 3504199397328449719/113471919388496429568*x^16 - 222662516366718851/9455993282374702464*x^15 - 16016162376878484409/56735959694248214784*x^14 - 771414909627967743/3151997760791567488*x^13 - 5150490192545669797/28367979847124107392*x^12 - 441982039812551519/7091994961781026848*x^11 - 588735386457701501/787999440197891872*x^10 - 2172430857973702745/787999440197891872*x^9 - 5854103853245537941/1181999160296837808*x^8 - 13960500280753839421/3545997480890513424*x^7 + 2402025874207953215/3545997480890513424*x^6 + 152658577932387311/52147021777801668*x^5 + 229582404611889211/104294043555603336*x^4 + 11264367924149179/26073510888900834*x^3 - 1558367838603356759/886499370222628356*x^2 - 398716497339271877/443249685111314178*x - 128489225693577455/221624842555657089\",\n \"6337863528402455/1210367140143961915392*x^26 - 851454887216431/75647946258997619712*x^25 - 253772554733491/18911986564749404928*x^24 - 4580081201297951/453887677553985718272*x^23 - 117076215187205/18911986564749404928*x^22 - 129281449063027/18911986564749404928*x^21 - 342772367620529/37823973129498809856*x^20 - 6816034954139/28367979847124107392*x^19 + 94725073287126391/37823973129498809856*x^18 - 736550330826122015/37823973129498809856*x^17 + 37526375717044149/1575998880395783744*x^16 + 885924693885905323/28367979847124107392*x^15 - 235192473610765715/3545997480890513424*x^14 + 122841120681925853/590999580148418904*x^13 + 193765878809800729/787999440197891872*x^12 + 1408638277510777093/7091994961781026848*x^11 - 1102238621860319663/14183989923562053696*x^10 - 162468605960354145/787999440197891872*x^9 + 792106633829134585/590999580148418904*x^8 + 3626495695441022663/886499370222628356*x^7 + 8549420193088087039/1772998740445256712*x^6 + 203351679276222623/104294043555603336*x^5 - 10349349182338055/4345585148150139*x^4 - 29960858438187539/13036755444450417*x^3 - 1966601905827510397/886499370222628356*x^2 + 29534480368792058/221624842555657089*x + 5880485773963357/73874947518552363\",\n \"26642137526191411/1815550710215942873088*x^26 + 1874964804475715/453887677553985718272*x^25 - 1268469532673957/151295892517995239424*x^24 - 131705033598087/50431964172665079808*x^23 - 1109495466100393/75647946258997619712*x^22 - 1200764161189085/113471919388496429568*x^21 + 62004069978737/12607991043166269952*x^20 - 77152903317105/6303995521583134976*x^19 + 66587251247947937/9455993282374702464*x^18 - 4252355810809862675/113471919388496429568*x^17 - 107398324223192093/7091994961781026848*x^16 + 100658304787770769/4727996641187351232*x^15 - 2398123066530692147/9455993282374702464*x^14 - 525269824706254435/14183989923562053696*x^13 + 623032545904234363/3545997480890513424*x^12 + 20497861894751455/787999440197891872*x^11 - 524139576455985659/2363998320593675616*x^10 - 14429912054139822791/7091994961781026848*x^9 - 1618342572261709847/590999580148418904*x^8 + 1522595973759661979/1772998740445256712*x^7 + 2767118002940548253/590999580148418904*x^6 + 736424847948847151/104294043555603336*x^5 + 180407945077787179/52147021777801668*x^4 - 26619011039942575/26073510888900834*x^3 - 788929147291352381/221624842555657089*x^2 - 208338881172773867/221624842555657089*x + 117858312243854116/221624842555657089\",\n \"-41589042253280519/1210367140143961915392*x^26 + 65404543046047835/1815550710215942873088*x^25 + 1312123832627227/100863928345330159616*x^24 - 5833278867250403/907775355107971436544*x^23 - 9547444224762943/453887677553985718272*x^22 - 3869744522590087/113471919388496429568*x^21 - 2681187127537157/453887677553985718272*x^20 - 3966358703631145/226943838776992859136*x^19 - 625272035325212131/37823973129498809856*x^18 + 12443880761142598151/113471919388496429568*x^17 - 10282630693968007373/113471919388496429568*x^16 - 33754479814554479/886499370222628356*x^15 + 11364416099185163441/18911986564749404928*x^14 - 5506693869073122217/9455993282374702464*x^13 - 3855904675755220759/28367979847124107392*x^12 + 561284537987763001/4727996641187351232*x^11 + 22412302819715707759/14183989923562053696*x^10 + 1909311919447113173/443249685111314178*x^9 + 395971207356601645/3545997480890513424*x^8 - 6305258116093431859/886499370222628356*x^7 - 19400704791630417643/3545997480890513424*x^6 + 118223187861292247/34764681185201112*x^5 + 1990472957997150859/104294043555603336*x^4 + 242284229810752667/26073510888900834*x^3 + 956394894983461444/221624842555657089*x^2 - 3388166160357241109/443249685111314178*x - 150578296755216408/24624982506184121\",\n \"1550236447420645/907775355107971436544*x^26 - 13470031035698981/907775355107971436544*x^25 - 2094449108978389/151295892517995239424*x^24 - 1642246676102771/50431964172665079808*x^23 - 2282224272574189/453887677553985718272*x^22 - 1765551620823001/50431964172665079808*x^21 - 1221067765614859/56735959694248214784*x^20 - 1038061486743731/75647946258997619712*x^19 + 30256179318894389/37823973129498809856*x^18 - 13868667904763479/1181999160296837808*x^17 + 1886033861795305607/56735959694248214784*x^16 + 101923690463431907/4727996641187351232*x^15 + 394610987194068383/7091994961781026848*x^14 + 3589742375096358041/14183989923562053696*x^13 + 2292156616737102553/7091994961781026848*x^12 + 8708587011053580229/14183989923562053696*x^11 + 131549039677578989/2363998320593675616*x^10 + 2174559156560142859/2363998320593675616*x^9 + 9661050633300077225/3545997480890513424*x^8 + 20284248293584353253/3545997480890513424*x^7 + 13676267841903555269/1772998740445256712*x^6 + 557248359685950793/104294043555603336*x^5 + 1687304218082610/1448528382716713*x^4 + 7779127677125200/13036755444450417*x^3 - 1212036442317763393/443249685111314178*x^2 + 402136695740530975/443249685111314178*x - 978948578994032569/221624842555657089\",\n \"-50760862947656309/453887677553985718272*x^26 - 35868938945463037/907775355107971436544*x^25 - 7497552214856669/151295892517995239424*x^24 - 11176769585909297/226943838776992859136*x^23 - 5332085259732949/113471919388496429568*x^22 - 875310094420867/37823973129498809856*x^21 - 1399279512092567/37823973129498809856*x^20 - 3018777215636045/226943838776992859136*x^19 - 1523236152246428045/28367979847124107392*x^18 + 443859703004409125/1575998880395783744*x^17 + 4675721084598691567/56735959694248214784*x^16 + 3108170842477261157/28367979847124107392*x^15 + 3218741955253401171/1575998880395783744*x^14 + 5659527338542188193/7091994961781026848*x^13 + 266171562896426047/295499790074209452*x^12 + 13391235192183568435/14183989923562053696*x^11 + 33371012228010888617/7091994961781026848*x^10 + 62419190696211684523/3545997480890513424*x^9 + 23199554323639864945/886499370222628356*x^8 + 6068174756275886701/393999720098945936*x^7 - 2959667849456935661/1772998740445256712*x^6 - 817226220046354373/52147021777801668*x^5 - 121837088566273061/26073510888900834*x^4 - 250880431412490419/26073510888900834*x^3 + 1454300671039941293/443249685111314178*x^2 - 1035591276124092218/221624842555657089*x - 439279504476418216/73874947518552363\",\n \"28900191397617721/1210367140143961915392*x^26 - 207150618987023/226943838776992859136*x^25 - 2573607141931811/151295892517995239424*x^24 - 822132884829953/50431964172665079808*x^23 - 4463270337651565/151295892517995239424*x^22 - 1608079076304511/113471919388496429568*x^21 - 85393835156701/37823973129498809856*x^20 - 266624842200355/12607991043166269952*x^19 + 433137292541524355/37823973129498809856*x^18 - 1833296287848542545/28367979847124107392*x^17 - 162584074808671061/28367979847124107392*x^16 + 179191143508287391/4727996641187351232*x^15 - 3621222580367732335/9455993282374702464*x^14 + 2504499289932412247/28367979847124107392*x^13 + 586799404185163771/1772998740445256712*x^12 + 82027825645920965/295499790074209452*x^11 - 1244469905987867825/4727996641187351232*x^10 - 2725405673464449593/886499370222628356*x^9 - 1386545734937498995/443249685111314178*x^8 + 1566847226998733789/443249685111314178*x^7 + 1005737215557666771/98499930024736484*x^6 + 1313045849885477551/104294043555603336*x^5 + 55093714541204084/13036755444450417*x^4 - 82787363779390469/26073510888900834*x^3 - 2361419432647518203/295499790074209452*x^2 - 609248072665883627/147749895037104726*x + 273810320827264330/73874947518552363\",\n \"-62046380439508141/403455713381320638464*x^26 - 496422837644249/113471919388496429568*x^25 - 103215821987827/37823973129498809856*x^24 - 96088512989665/12607991043166269952*x^23 - 43645536128861/9455993282374702464*x^22 + 29702640842941/28367979847124107392*x^21 - 56063407701695/9455993282374702464*x^20 - 169067943505/98499930024736484*x^19 - 2792245287788671217/37823973129498809856*x^18 + 5833719731565831167/14183989923562053696*x^17 + 37061990040806269/3545997480890513424*x^16 + 4339028665635575/1181999160296837808*x^15 + 25301583642352094173/9455993282374702464*x^14 + 19616869057938344/221624842555657089*x^13 + 36776921463688615/886499370222628356*x^12 + 86766496406305565/590999580148418904*x^11 + 25518190906322422337/4727996641187351232*x^10 + 19397038918700748713/886499370222628356*x^9 + 11450662614412803619/443249685111314178*x^8 + 612845376516221875/443249685111314178*x^7 - 4676865753989975393/196999860049472968*x^6 - 430728151733881073/13036755444450417*x^5 - 8731605719090714/13036755444450417*x^4 - 13187337605992802/13036755444450417*x^3 + 5422121643635184433/295499790074209452*x^2 + 4342614730072248/24624982506184121*x - 561053406124668470/73874947518552363\",\n \"-89945136270052289/605183570071980957696*x^26 - 4142456376899261/100863928345330159616*x^25 - 16869678550485581/302591785035990478848*x^24 - 2159139694805771/56735959694248214784*x^23 - 4153223612321363/226943838776992859136*x^22 - 2430722060734273/75647946258997619712*x^21 - 296892145935511/9455993282374702464*x^20 - 315827947645745/56735959694248214784*x^19 - 1012147413287679209/14183989923562053696*x^18 + 3591116252737308323/9455993282374702464*x^17 + 395341485333361417/4727996641187351232*x^16 + 7467166535979083083/56735959694248214784*x^15 + 1573102926160288741/590999580148418904*x^14 + 2636226030037087133/3545997480890513424*x^13 + 4891924675570961339/4727996641187351232*x^12 + 2621776047750622135/3545997480890513424*x^11 + 12904337870020837427/2363998320593675616*x^10 + 10202996140722227899/443249685111314178*x^9 + 12809221552914667297/393999720098945936*x^8 + 56861910729211727143/3545997480890513424*x^7 - 8241773434469702755/886499370222628356*x^6 - 385848576817425923/13036755444450417*x^5 - 488540190929580577/52147021777801668*x^4 - 476979719333270161/52147021777801668*x^3 + 5961052436651948161/443249685111314178*x^2 + 295848989704894913/221624842555657089*x - 1190880293966446133/221624842555657089\",\n \"-144041670080643421/3631101420431885746176*x^26 + 8023683197344999/907775355107971436544*x^25 + 4870989138617455/151295892517995239424*x^24 + 5497964233752017/453887677553985718272*x^23 + 1670037360601691/50431964172665079808*x^22 - 150730069061261/7091994961781026848*x^21 + 107494511905253/56735959694248214784*x^20 + 3483480040092787/226943838776992859136*x^19 - 2161781586907776587/113471919388496429568*x^18 + 3144792930810555733/28367979847124107392*x^17 - 469569789769405645/56735959694248214784*x^16 - 1145370376470783803/14183989923562053696*x^15 + 18973610816364492103/28367979847124107392*x^14 - 7149185383829472443/28367979847124107392*x^13 - 147236960599199387/295499790074209452*x^12 - 2936397712254983911/14183989923562053696*x^11 + 10679863899438170503/14183989923562053696*x^10 + 2240860432864683799/393999720098945936*x^9 + 1217336734562165165/295499790074209452*x^8 - 23977069395790045063/3545997480890513424*x^7 - 6393256889085656863/443249685111314178*x^6 - 454037788002996889/34764681185201112*x^5 + 117596217646128265/26073510888900834*x^4 + 157408208368931338/13036755444450417*x^3 + 3275559550889610149/295499790074209452*x^2 + 859426944478023767/443249685111314178*x - 593105793916124107/73874947518552363\",\n \"13444540536532915/453887677553985718272*x^26 + 90741857034455045/1815550710215942873088*x^25 + 4109968829242781/100863928345330159616*x^24 + 43982333842205299/907775355107971436544*x^23 + 2081089328780287/56735959694248214784*x^22 + 16199770003073479/453887677553985718272*x^21 + 9094724218695523/453887677553985718272*x^20 + 1302450705381131/56735959694248214784*x^19 + 1615343508789235121/113471919388496429568*x^18 - 6309632168371211885/113471919388496429568*x^17 - 13026538230774890819/113471919388496429568*x^16 - 611783120141894389/7091994961781026848*x^15 - 3936793186924900479/6303995521583134976*x^14 - 26811326891293453417/28367979847124107392*x^13 - 7476465791443155335/9455993282374702464*x^12 - 693333365889273903/787999440197891872*x^11 - 12132915579896961863/7091994961781026848*x^10 - 46560040552665444355/7091994961781026848*x^9 - 5402883393543890531/393999720098945936*x^8 - 56485434697641860329/3545997480890513424*x^7 - 36000942160237010023/3545997480890513424*x^6 + 3346713530820997/26073510888900834*x^5 + 645301588797778661/104294043555603336*x^4 + 11562014250180623/1448528382716713*x^3 + 535637675793882881/98499930024736484*x^2 + 30578399441174491/221624842555657089*x + 332807982065347037/221624842555657089\",\n \"32852902440669785/1815550710215942873088*x^26 - 18868696634915131/907775355107971436544*x^25 - 1815476954082453/100863928345330159616*x^24 - 4626926653667/1772998740445256712*x^23 + 106911196616803/9455993282374702464*x^22 - 2100670607214401/226943838776992859136*x^21 - 56784668514967/4727996641187351232*x^20 + 457963342831405/28367979847124107392*x^19 + 82039846651976729/9455993282374702464*x^18 - 415697296412733463/7091994961781026848*x^17 + 334994603325705857/7091994961781026848*x^16 + 2675006200106194937/56735959694248214784*x^15 - 4258425405217369751/14183989923562053696*x^14 + 4600103063888163823/14183989923562053696*x^13 + 4682703661349173523/14183989923562053696*x^12 + 150992574981388585/1772998740445256712*x^11 - 6161955918746360569/7091994961781026848*x^10 - 2927977443696333349/1772998740445256712*x^9 + 20141197840504136/24624982506184121*x^8 + 20350012100050243297/3545997480890513424*x^7 + 10728401945762826061/1772998740445256712*x^6 - 3435815654237201/8691170296300278*x^5 - 99801640124369083/13036755444450417*x^4 - 35967839146355273/17382340592600556*x^3 - 616958726118746239/443249685111314178*x^2 + 401205651652454242/221624842555657089*x + 41325211336960118/221624842555657089\",\n \"55544160606285937/1815550710215942873088*x^26 + 17171598346742119/907775355107971436544*x^25 + 1173051269189843/50431964172665079808*x^24 + 609372034131977/28367979847124107392*x^23 + 1589710997822705/50431964172665079808*x^22 - 1439276831981147/453887677553985718272*x^21 + 641304009340711/37823973129498809856*x^20 + 1005082206011155/226943838776992859136*x^19 + 1666969345838281813/113471919388496429568*x^18 - 8302753924429418099/113471919388496429568*x^17 - 2251077504236416537/56735959694248214784*x^16 - 1481217058699124191/28367979847124107392*x^15 - 16205342849229188915/28367979847124107392*x^14 - 5860347861831453757/14183989923562053696*x^13 - 2733592596781570993/7091994961781026848*x^12 - 5881475022585385865/14183989923562053696*x^11 - 713981138512138621/443249685111314178*x^10 - 487020617203935305/98499930024736484*x^9 - 3430721280630546175/393999720098945936*x^8 - 25535153081745407287/3545997480890513424*x^7 - 5182902151147382305/1772998740445256712*x^6 + 39232918891394689/17382340592600556*x^5 + 71336698157157875/26073510888900834*x^4 + 61493797739125013/8691170296300278*x^3 + 1041008084653931903/443249685111314178*x^2 + 1458198313573573097/443249685111314178*x + 210636963250621790/73874947518552363\",\n \"-82519951747005719/3631101420431885746176*x^26 + 14996187520033061/907775355107971436544*x^25 + 350721669086489/18911986564749404928*x^24 + 3321465970829801/453887677553985718272*x^23 + 2194373081122003/453887677553985718272*x^22 - 1626563608337887/453887677553985718272*x^21 + 197352979292201/18911986564749404928*x^20 - 1430333017479137/226943838776992859136*x^19 - 309936187159589617/28367979847124107392*x^18 + 979260850485676207/14183989923562053696*x^17 - 2014178880450539441/56735959694248214784*x^16 - 1314857779407771613/28367979847124107392*x^15 + 10647931695726971141/28367979847124107392*x^14 - 266115211403230237/886499370222628356*x^13 - 2170135513865492087/7091994961781026848*x^12 - 2234657418623158139/14183989923562053696*x^11 + 1120477003712904311/1575998880395783744*x^10 + 6524029490396692333/2363998320593675616*x^9 + 572928158630121623/1181999160296837808*x^8 - 6462750493173388355/1181999160296837808*x^7 - 1508740784305426381/196999860049472968*x^6 - 458607033204249839/104294043555603336*x^5 + 34606869307811649/5794113530866852*x^4 + 68586858377140882/13036755444450417*x^3 + 4608948427567985467/886499370222628356*x^2 - 83372188682910043/443249685111314178*x - 144416691518864579/73874947518552363\",\n \"13350445686518521/907775355107971436544*x^26 + 6409621378138787/302591785035990478848*x^25 + 3833796922615369/151295892517995239424*x^24 + 1713609493108811/226943838776992859136*x^23 + 2231766259339369/226943838776992859136*x^22 + 601787043946415/37823973129498809856*x^21 + 456985249678063/37823973129498809856*x^20 - 1975919463183511/226943838776992859136*x^19 + 66700518196464029/9455993282374702464*x^18 - 832778382634083509/28367979847124107392*x^17 - 282230603019180283/6303995521583134976*x^16 - 1830038169548665661/28367979847124107392*x^15 - 1912756942104656441/7091994961781026848*x^14 - 5458302306412281445/14183989923562053696*x^13 - 280631743399591141/590999580148418904*x^12 - 2370979878202451167/14183989923562053696*x^11 - 4659542956990030441/7091994961781026848*x^10 - 5440086113856563549/1772998740445256712*x^9 - 23018178736920864311/3545997480890513424*x^8 - 25405097784712018369/3545997480890513424*x^7 - 575035117518098003/196999860049472968*x^6 + 20025719152248961/5794113530866852*x^5 + 235234424402471891/52147021777801668*x^4 + 84456490853426975/26073510888900834*x^3 + 202862709203408548/221624842555657089*x^2 + 572838109773000394/221624842555657089*x + 508445490429141407/221624842555657089\",\n \"-153638729181189397/3631101420431885746176*x^26 + 13352776609928207/907775355107971436544*x^25 + 2512000495610961/100863928345330159616*x^24 - 252178120830937/113471919388496429568*x^23 - 345203913424739/37823973129498809856*x^22 - 17450329816217/4727996641187351232*x^21 + 79130102144333/28367979847124107392*x^20 - 229080335089093/28367979847124107392*x^19 - 256069847635622675/12607991043166269952*x^18 + 285547068138037573/2363998320593675616*x^17 - 195539299506136159/7091994961781026848*x^16 - 3860561762165286077/56735959694248214784*x^15 + 20786177671327761979/28367979847124107392*x^14 - 136763238416155253/590999580148418904*x^13 - 2972168696373767131/7091994961781026848*x^12 + 2661006495347803/98499930024736484*x^11 + 23283305944083383915/14183989923562053696*x^10 + 6540417906358440079/1181999160296837808*x^9 + 6951673327856202971/1772998740445256712*x^8 - 6793817634865970015/1181999160296837808*x^7 - 9189398800062412655/886499370222628356*x^6 - 131099631546689705/26073510888900834*x^5 + 118178342478883577/13036755444450417*x^4 + 333027012825531973/52147021777801668*x^3 + 419203780710122411/98499930024736484*x^2 - 686451897414748735/221624842555657089*x - 748047211330010732/221624842555657089\",\n \"6972346245564811/3631101420431885746176*x^26 + 30698142394179089/453887677553985718272*x^25 + 207496768049419399/1815550710215942873088*x^24 + 82372524191239805/907775355107971436544*x^23 + 55776529527184753/907775355107971436544*x^22 + 8106500253659857/113471919388496429568*x^21 + 4976478303417029/113471919388496429568*x^20 + 1798034463884143/75647946258997619712*x^19 + 110726825897137067/113471919388496429568*x^18 + 516458897563316803/18911986564749404928*x^17 - 14397732939830942527/113471919388496429568*x^16 - 831279912858868401/3151997760791567488*x^15 - 7019251066908658361/28367979847124107392*x^14 - 18434467261529192771/14183989923562053696*x^13 - 60858433166257642325/28367979847124107392*x^12 - 23751205820849848657/14183989923562053696*x^11 - 516815975531392621/443249685111314178*x^10 - 28274682322615037363/7091994961781026848*x^9 - 25824802721517755377/1772998740445256712*x^8 - 109562121389024166721/3545997480890513424*x^7 - 120147528203694980671/3545997480890513424*x^6 - 775661943491098559/52147021777801668*x^5 + 153557727802241294/13036755444450417*x^4 + 187704220003570181/8691170296300278*x^3 + 3288429201958375045/221624842555657089*x^2 + 422779170314049886/73874947518552363*x - 742056272700602240/73874947518552363\",\n \"-3102469599791807/113471919388496429568*x^26 - 16297767650479489/453887677553985718272*x^25 - 13206549075849557/302591785035990478848*x^24 - 1070869354377595/151295892517995239424*x^23 - 464281845025273/50431964172665079808*x^22 - 8505369374899259/453887677553985718272*x^21 - 1008933698452141/56735959694248214784*x^20 + 1436363466721919/75647946258997619712*x^19 - 1490411662267381135/113471919388496429568*x^18 + 1595627473141762537/28367979847124107392*x^17 + 4286920197432602813/56735959694248214784*x^16 + 718433074246359045/6303995521583134976*x^15 + 2302826070892424111/4727996641187351232*x^14 + 4512022324414777093/7091994961781026848*x^13 + 1881309846572241679/2363998320593675616*x^12 + 2542726421086821079/14183989923562053696*x^11 + 7427686588687866377/7091994961781026848*x^10 + 38668380599289681773/7091994961781026848*x^9 + 559731715587687995/49249965012368242*x^8 + 5309046142702086443/443249685111314178*x^7 + 1166775545326350947/295499790074209452*x^6 - 909389459713749589/104294043555603336*x^5 - 538847283516918223/52147021777801668*x^4 - 336578316055006183/52147021777801668*x^3 + 80593798447252453/221624842555657089*x^2 - 458654611115021831/443249685111314178*x + 530081700380611919/221624842555657089\",\n \"151243208057568655/1815550710215942873088*x^26 + 570240535045103/151295892517995239424*x^25 + 1224104369071337/50431964172665079808*x^24 + 1320383710082489/50431964172665079808*x^23 + 198699545439733/4727996641187351232*x^22 + 2074799273105819/113471919388496429568*x^21 + 244673064846223/37823973129498809856*x^20 + 92030882345545/3151997760791567488*x^19 + 3940134851941783/98499930024736484*x^18 - 25203314701562983321/113471919388496429568*x^17 + 7303802147966471/4727996641187351232*x^16 - 83015308299177621/1575998880395783744*x^15 - 14086426148800315573/9455993282374702464*x^14 - 1201014652392319837/7091994961781026848*x^13 - 1650611227909043491/3545997480890513424*x^12 - 1077418631837869945/2363998320593675616*x^11 - 8690891975978079841/2363998320593675616*x^10 - 86935377997549930237/7091994961781026848*x^9 - 53347718917451681179/3545997480890513424*x^8 - 3262163696399254861/590999580148418904*x^7 + 2631896823772265021/590999580148418904*x^6 + 845990903244410371/104294043555603336*x^5 - 66192056811394126/13036755444450417*x^4 + 125768378912845561/26073510888900834*x^3 - 874172235565955729/221624842555657089*x^2 + 1195697417998887952/221624842555657089*x + 219039441242598136/221624842555657089\",\n \"11734940583941449/151295892517995239424*x^26 - 16564857794304797/907775355107971436544*x^25 - 1748354455887425/100863928345330159616*x^24 + 7367649171705971/453887677553985718272*x^23 + 1471635328648513/50431964172665079808*x^22 - 3312660419226929/226943838776992859136*x^21 - 77136409033793/37823973129498809856*x^20 + 3204993093439889/113471919388496429568*x^19 + 704044948404750677/18911986564749404928*x^18 - 6163386750212577679/28367979847124107392*x^17 + 1155452113472620495/28367979847124107392*x^16 + 3087914771330790919/56735959694248214784*x^15 - 9715294732966870409/7091994961781026848*x^14 + 6519622502331631409/28367979847124107392*x^13 + 4791362943223178249/14183989923562053696*x^12 - 115873399672771387/443249685111314178*x^11 - 23134654329002528621/7091994961781026848*x^10 - 17869897603154824975/1772998740445256712*x^9 - 2076369951704363333/221624842555657089*x^8 + 15560882989084237595/3545997480890513424*x^7 + 21853040851421216219/1772998740445256712*x^6 + 845272965228262835/104294043555603336*x^5 - 493512818019836437/52147021777801668*x^4 - 9911544864977771/52147021777801668*x^3 - 2383238359654399765/443249685111314178*x^2 + 1672962904300680641/443249685111314178*x + 316238571574555141/73874947518552363\",\n \"-82653608026146113/907775355107971436544*x^26 - 3179318575654603/226943838776992859136*x^25 - 208714218734947/37823973129498809856*x^24 - 8520133695733/590999580148418904*x^23 + 2128414698043681/226943838776992859136*x^22 + 123090326683325/28367979847124107392*x^21 - 49529422064093/3151997760791567488*x^20 + 81222349300591/18911986564749404928*x^19 - 1239601467901836301/28367979847124107392*x^18 + 6751992474511034825/28367979847124107392*x^17 + 496705194665624761/14183989923562053696*x^16 + 6226480572662477/787999440197891872*x^15 + 22930392868828904017/14183989923562053696*x^14 + 1035181364841810865/4727996641187351232*x^13 + 67481320124322443/886499370222628356*x^12 + 346847256050439427/1181999160296837808*x^11 + 2638700158529724079/886499370222628356*x^10 + 7833085621236619453/590999580148418904*x^9 + 6811239418403377061/393999720098945936*x^8 + 3059614923315353507/886499370222628356*x^7 - 2786400109156494947/221624842555657089*x^6 - 563680522614811303/26073510888900834*x^5 - 299762513242349801/52147021777801668*x^4 - 25798677790926370/13036755444450417*x^3 + 1708344039983441377/147749895037104726*x^2 + 77302628412502539/24624982506184121*x - 168445000545240761/24624982506184121\",\n \"-26619543112563283/1815550710215942873088*x^26 + 626221927047683/226943838776992859136*x^25 + 1535924091893489/151295892517995239424*x^24 + 115044518221129/37823973129498809856*x^23 - 3077051127828863/453887677553985718272*x^22 - 2341346408270275/453887677553985718272*x^21 + 4517360311309/18911986564749404928*x^20 + 160803996235573/37823973129498809856*x^19 - 800571562436253143/113471919388496429568*x^18 + 4624809529904301983/113471919388496429568*x^17 - 71919297031331701/28367979847124107392*x^16 - 244312654945340593/9455993282374702464*x^15 + 6862692466642925809/28367979847124107392*x^14 - 452939286262559635/14183989923562053696*x^13 - 286580600417502089/1772998740445256712*x^12 - 120930118296689419/2363998320593675616*x^11 + 4283649017207386189/7091994961781026848*x^10 + 1882085931616286543/886499370222628356*x^9 + 937686017296365409/590999580148418904*x^8 - 926878883420110919/443249685111314178*x^7 - 7022127661898529833/1772998740445256712*x^6 - 42461113712018879/17382340592600556*x^5 + 11154405870295363/2897056765433426*x^4 + 103799730303875521/26073510888900834*x^3 + 456005071082466052/221624842555657089*x^2 - 711801193128658867/443249685111314178*x - 446493866475125354/221624842555657089\",\n \"78416443686016751/1210367140143961915392*x^26 + 1056973642886315/100863928345330159616*x^25 + 480100897417471/75647946258997619712*x^24 - 326729049272351/226943838776992859136*x^23 + 616697484718645/75647946258997619712*x^22 + 1859747378555/787999440197891872*x^21 + 217481014856699/37823973129498809856*x^20 - 2687306401269215/226943838776992859136*x^19 + 3528423884472524803/113471919388496429568*x^18 - 399775803302897737/2363998320593675616*x^17 - 475198801966066937/18911986564749404928*x^16 - 125954324647577371/7091994961781026848*x^15 - 31537538289416006075/28367979847124107392*x^14 - 954431460469361215/4727996641187351232*x^13 - 267717194471117347/2363998320593675616*x^12 + 52720226470478545/14183989923562053696*x^11 - 33318416175565446617/14183989923562053696*x^10 - 33852553242199952903/3545997480890513424*x^9 - 1218705659477820329/98499930024736484*x^8 - 8296148153061946463/3545997480890513424*x^7 + 17225421191992716479/1772998740445256712*x^6 + 776515150833282929/52147021777801668*x^5 + 28162566982572055/17382340592600556*x^4 + 6796490020708520/13036755444450417*x^3 - 1770813329768325167/295499790074209452*x^2 + 38169683516762454/24624982506184121*x + 1373434265046636446/221624842555657089\",\n \"69333451351087975/1210367140143961915392*x^26 - 1056973642886315/100863928345330159616*x^25 - 480100897417471/75647946258997619712*x^24 + 326729049272351/226943838776992859136*x^23 - 616697484718645/75647946258997619712*x^22 - 1859747378555/787999440197891872*x^21 - 217481014856699/37823973129498809856*x^20 + 2687306401269215/226943838776992859136*x^19 + 3120321392197187867/113471919388496429568*x^18 - 751822291283804149/4727996641187351232*x^17 + 475198801966066937/18911986564749404928*x^16 + 125954324647577371/7091994961781026848*x^15 - 28301169200611407955/28367979847124107392*x^14 + 954431460469361215/4727996641187351232*x^13 + 267717194471117347/2363998320593675616*x^12 - 52720226470478545/14183989923562053696*x^11 - 26520291314461967413/14183989923562053696*x^10 - 27315903303161403661/3545997480890513424*x^9 - 1477960899527634581/196999860049472968*x^8 + 8296148153061946463/3545997480890513424*x^7 + 18677803302023731939/1772998740445256712*x^6 + 631454437167362107/52147021777801668*x^5 - 28162566982572055/17382340592600556*x^4 - 6796490020708520/13036755444450417*x^3 - 2661683521344816613/295499790074209452*x^2 - 62794666022946575/24624982506184121*x + 621189317954277355/221624842555657089\",\n \"129011012137583/56735959694248214784*x^26 - 1186131860475247/226943838776992859136*x^25 - 133332921586169/37823973129498809856*x^24 - 331830047764791/25215982086332539904*x^23 - 402162312262871/25215982086332539904*x^22 - 1720532971904447/75647946258997619712*x^21 - 496422837644249/56735959694248214784*x^20 - 103215821987827/18911986564749404928*x^19 + 20353496403044285/18911986564749404928*x^18 - 40803430859699923/4727996641187351232*x^17 + 175299929315174017/14183989923562053696*x^16 + 14879093946419899/4727996641187351232*x^15 - 9124058671816621/787999440197891872*x^14 + 144510435997935319/1181999160296837808*x^13 + 1671819509782840093/14183989923562053696*x^12 + 220117749037513667/886499370222628356*x^11 + 60385400381284225/295499790074209452*x^10 + 341439108654525065/1181999160296837808*x^9 + 295737695526314417/443249685111314178*x^8 + 1672705850517247115/886499370222628356*x^7 + 270054445678935224/73874947518552363*x^6 + 86616266418216551/17382340592600556*x^5 + 227719937338573013/52147021777801668*x^4 + 66161730244301299/26073510888900834*x^3 - 1143523856720420741/443249685111314178*x^2 - 685897320062737775/221624842555657089*x - 558422269955034203/221624842555657089\",\n \"23530468464897419/1815550710215942873088*x^26 + 780125486659211/113471919388496429568*x^25 - 1113930504905009/151295892517995239424*x^24 + 11831541611399/3151997760791567488*x^23 - 363862666938203/50431964172665079808*x^22 + 282381144941377/151295892517995239424*x^21 + 180532356669859/18911986564749404928*x^20 - 129390261714225/12607991043166269952*x^19 + 235538069670813677/37823973129498809856*x^18 - 1193169450032329141/37823973129498809856*x^17 - 624995171973467669/28367979847124107392*x^16 + 204307117398475469/9455993282374702464*x^15 - 748675669139795371/3151997760791567488*x^14 - 7276693690389682/73874947518552363*x^13 + 25019089232914937/196999860049472968*x^12 - 225698408178967175/2363998320593675616*x^11 - 230626755385377647/787999440197891872*x^10 - 156727709411719715/73874947518552363*x^9 - 5280159960227817101/1772998740445256712*x^8 + 19833596557312081/886499370222628356*x^7 + 1724382998749645027/590999580148418904*x^6 + 78605524476825823/17382340592600556*x^5 + 21352261566890137/17382340592600556*x^4 - 26192349978002795/8691170296300278*x^3 - 1339044856275164465/443249685111314178*x^2 - 158229368043772193/443249685111314178*x + 500963495563943882/221624842555657089\",\n \"943059358587625/11866344511215312896*x^26 + 8139915109394879/106797100600937816064*x^25 + 711035505922087/8899758383411484672*x^24 + 3615947423059045/53398550300468908032*x^23 + 116110283857991/2966586127803828224*x^22 + 680210600043883/13349637575117227008*x^21 + 327230691361205/8899758383411484672*x^20 + 18075467783403/741646531950957056*x^19 + 14152936438027609/370823265975478528*x^18 - 1181400761054161369/6674818787558613504*x^17 - 1111502763095490647/6674818787558613504*x^16 - 608295387709421075/3337409393779306752*x^15 - 5128165478242893859/3337409393779306752*x^14 - 2332498928985315523/1668704696889653376*x^13 - 2502884171589490745/1668704696889653376*x^12 - 174808796295383743/139058724740804448*x^11 - 40319252874323401/11588227061733704*x^10 - 3081694232169983249/208588087111206672*x^9 - 5679176149524111401/208588087111206672*x^8 - 1380745677224678533/52147021777801668*x^7 - 2304109437071250701/208588087111206672*x^6 + 1171676354891860153/104294043555603336*x^5 + 1579271932765557557/104294043555603336*x^4 + 788588843681500609/52147021777801668*x^3 + 7028453245226349/5794113530866852*x^2 - 13309359394227515/8691170296300278*x + 10566870211239205/4345585148150139\",\n \"-33279828928042125/403455713381320638464*x^26 - 41057513277836435/907775355107971436544*x^25 - 6762473248943187/100863928345330159616*x^24 - 13660532472046919/226943838776992859136*x^23 - 2842341337737601/50431964172665079808*x^22 - 8378655245669687/226943838776992859136*x^21 - 384345614121545/9455993282374702464*x^20 - 2714160123943621/113471919388496429568*x^19 - 1499335897932979085/37823973129498809856*x^18 + 22698461929072832747/113471919388496429568*x^17 + 2535135505732366747/28367979847124107392*x^16 + 8586074127245107003/56735959694248214784*x^15 + 22128816371298914711/14183989923562053696*x^14 + 25966636708839077087/28367979847124107392*x^13 + 17563630184845151165/14183989923562053696*x^12 + 8070249488274948113/7091994961781026848*x^11 + 54846494366227601705/14183989923562053696*x^10 + 99227315694428912159/7091994961781026848*x^9 + 80746981746132826045/3545997480890513424*x^8 + 68821325940810184469/3545997480890513424*x^7 + 14995480246857145037/1772998740445256712*x^6 - 92141755969020284/13036755444450417*x^5 - 253590033229290187/52147021777801668*x^4 - 644369764920374093/52147021777801668*x^3 - 220248061900882907/886499370222628356*x^2 - 1089815222020829275/443249685111314178*x - 306011832721385798/73874947518552363\",\n \"-19292316867473947/403455713381320638464*x^26 - 82788947527808077/1815550710215942873088*x^25 - 6041684602182469/302591785035990478848*x^24 - 12743218474564103/302591785035990478848*x^23 - 10564121463305549/453887677553985718272*x^22 - 6972079330192481/226943838776992859136*x^21 - 9314232367325791/453887677553985718272*x^20 - 1413124915517681/113471919388496429568*x^19 - 2606132937663055325/113471919388496429568*x^18 + 12098791510946565353/113471919388496429568*x^17 + 12824619867041582767/113471919388496429568*x^16 + 158047739081040971/4727996641187351232*x^15 + 52670380304612672429/56735959694248214784*x^14 + 23709203475670650361/28367979847124107392*x^13 + 3950358962545629611/9455993282374702464*x^12 + 5508457240029589559/7091994961781026848*x^11 + 3279927930954560115/1575998880395783744*x^10 + 15767029527458431075/1772998740445256712*x^9 + 54433630659375841471/3545997480890513424*x^8 + 41900117529648521353/3545997480890513424*x^7 + 8555803781562965783/3545997480890513424*x^6 - 229457226753487183/34764681185201112*x^5 - 525030777823006163/104294043555603336*x^4 - 69617489692867751/26073510888900834*x^3 - 376449129775262284/221624842555657089*x^2 + 38003608423839095/443249685111314178*x - 1516287462618152257/221624842555657089\",\n \"13874792673065833/1815550710215942873088*x^26 - 25268676871051243/907775355107971436544*x^25 - 4470117336200781/100863928345330159616*x^24 - 3915584116200527/113471919388496429568*x^23 - 1292888185437235/37823973129498809856*x^22 - 2024017769456131/75647946258997619712*x^21 - 72261719672587/3151997760791567488*x^20 - 101708318518895/7091994961781026848*x^19 + 34419990088451405/9455993282374702464*x^18 - 13355409283197747/393999720098945936*x^17 + 189815942582482777/3545997480890513424*x^16 + 5819762330839469993/56735959694248214784*x^15 - 790174941266922095/14183989923562053696*x^14 + 2647914027817948003/4727996641187351232*x^13 + 3908823876849870289/4727996641187351232*x^12 + 1154281165773978565/1772998740445256712*x^11 + 2493014421904472435/7091994961781026848*x^10 + 250246726675408865/590999580148418904*x^9 + 2035247411646321563/443249685111314178*x^8 + 43600066537543103713/3545997480890513424*x^7 + 26614672063289055073/1772998740445256712*x^6 + 108706245187930705/13036755444450417*x^5 - 8924063911620665/2897056765433426*x^4 - 399002288082735347/52147021777801668*x^3 - 373394222929966371/49249965012368242*x^2 - 107309810602377286/73874947518552363*x + 295976872999838455/221624842555657089\",\n \"17129680098016633/226943838776992859136*x^26 - 13489217539300319/907775355107971436544*x^25 - 1368104245869293/50431964172665079808*x^24 - 2222881110711793/453887677553985718272*x^23 - 1087197563916513/50431964172665079808*x^22 - 1108941944245399/151295892517995239424*x^21 - 99594334568755/18911986564749404928*x^20 + 303753410780053/226943838776992859136*x^19 + 4111110821071008071/113471919388496429568*x^18 - 1986074527782221087/9455993282374702464*x^17 + 1526555587764854837/56735959694248214784*x^16 + 1001331672335820607/14183989923562053696*x^15 - 18460395005877846007/14183989923562053696*x^14 + 1471452029739828391/4727996641187351232*x^13 + 574621950847749389/1181999160296837808*x^12 + 1410365879477272591/14183989923562053696*x^11 - 1765211751847726929/787999440197891872*x^10 - 71139884163491087267/7091994961781026848*x^9 - 16205488154489124575/1772998740445256712*x^8 + 22881465321055285439/3545997480890513424*x^7 + 32400372491360754059/1772998740445256712*x^6 + 1937893700471901775/104294043555603336*x^5 - 24103851072517069/8691170296300278*x^4 - 152091746851800503/26073510888900834*x^3 - 3046623124325243747/221624842555657089*x^2 - 1672714080830540605/443249685111314178*x + 158306581057713347/73874947518552363\",\n \"191767754890345/907775355107971436544*x^26 + 11381555902228081/605183570071980957696*x^25 - 690715358398973/50431964172665079808*x^24 + 15215118604867451/907775355107971436544*x^23 + 189493530364033/56735959694248214784*x^22 + 1098436992955957/453887677553985718272*x^21 - 53892022014533/50431964172665079808*x^20 + 186721670897039/18911986564749404928*x^19 + 10207492226099291/113471919388496429568*x^18 + 962503075726363951/113471919388496429568*x^17 - 2162272008305872177/37823973129498809856*x^16 + 2547303570794983187/56735959694248214784*x^15 - 2673229377256802599/56735959694248214784*x^14 - 9440818592075323891/28367979847124107392*x^13 + 6520225906133451767/28367979847124107392*x^12 - 222060416423156727/787999440197891872*x^11 - 688442025159231523/7091994961781026848*x^10 - 4821449489270700703/7091994961781026848*x^9 - 2022121931149910015/886499370222628356*x^8 - 3100056185036467511/1772998740445256712*x^7 - 136583633028020557/1181999160296837808*x^6 - 12620480873119195/26073510888900834*x^5 + 20880957871030039/11588227061733704*x^4 - 85810540674694103/52147021777801668*x^3 + 1010829584707842869/295499790074209452*x^2 - 178678939067036120/73874947518552363*x + 23019980513278676/73874947518552363\",\n \"46078324751067701/1210367140143961915392*x^26 + 13643423255441311/907775355107971436544*x^25 + 3586168338598039/151295892517995239424*x^24 + 28509607201695/787999440197891872*x^23 + 1802386695440687/226943838776992859136*x^22 + 1097477362950263/113471919388496429568*x^21 + 757885838403515/37823973129498809856*x^20 + 548244838949615/25215982086332539904*x^19 + 691583446331455655/37823973129498809856*x^18 - 2698377209848269397/28367979847124107392*x^17 - 1645979145445251157/56735959694248214784*x^16 - 438115737537774475/9455993282374702464*x^15 - 21313381896792468287/28367979847124107392*x^14 - 3920646404485369003/14183989923562053696*x^13 - 1510436175193705855/3545997480890513424*x^12 - 3161173760651388535/4727996641187351232*x^11 - 7123191836417919337/4727996641187351232*x^10 - 21619594860769897055/3545997480890513424*x^9 - 33598936376436884783/3545997480890513424*x^8 - 26396249281612657175/3545997480890513424*x^7 - 2798213614378579291/886499370222628356*x^6 + 32650108286447341/8691170296300278*x^5 + 21553942253473997/5794113530866852*x^4 + 150919778668738957/26073510888900834*x^3 - 632560254315417481/295499790074209452*x^2 - 225968365524798757/73874947518552363*x + 64678552876722909/24624982506184121\",\n \"-253402912795533265/3631101420431885746176*x^26 - 1262155986466711/75647946258997619712*x^25 - 366996180013831/12607991043166269952*x^24 - 731754977173265/18911986564749404928*x^23 - 7147290266290337/226943838776992859136*x^22 - 403035151803865/28367979847124107392*x^21 - 195740680478411/9455993282374702464*x^20 - 462847683484439/18911986564749404928*x^19 - 3801853563673348111/113471919388496429568*x^18 + 5093996115977666297/28367979847124107392*x^17 + 145910599393639693/4727996641187351232*x^16 + 141032889833936075/2363998320593675616*x^15 + 36731243228529834857/28367979847124107392*x^14 + 577078166042562085/1575998880395783744*x^13 + 235469948367830581/443249685111314178*x^12 + 842173323766221617/1181999160296837808*x^11 + 42813277988837398291/14183989923562053696*x^10 + 2107569435856844351/196999860049472968*x^9 + 53554200587164895819/3545997480890513424*x^8 + 849604197739569429/98499930024736484*x^7 - 216363463832400445/1772998740445256712*x^6 - 89244537904399331/13036755444450417*x^5 - 26262680277682583/52147021777801668*x^4 - 85386032845850950/13036755444450417*x^3 + 1794011301832618103/886499370222628356*x^2 - 509744645429027659/221624842555657089*x - 686317337648568547/221624842555657089\",\n \"-20924431436962233/403455713381320638464*x^26 - 93370568157781/25215982086332539904*x^25 + 618771174232633/100863928345330159616*x^24 - 784251892739915/75647946258997619712*x^23 - 1143773237457763/113471919388496429568*x^22 + 849928658552387/75647946258997619712*x^21 - 119185577168693/12607991043166269952*x^20 - 577383258311/75647946258997619712*x^19 - 2822562639233878085/113471919388496429568*x^18 + 433760879162127087/3151997760791567488*x^17 + 81384484217228111/6303995521583134976*x^16 - 406355000564625875/18911986564749404928*x^15 + 26076467347481139581/28367979847124107392*x^14 + 1368735412045352417/14183989923562053696*x^13 - 665566457511103451/4727996641187351232*x^12 + 967168748761228633/4727996641187351232*x^11 + 28022823059506338989/14183989923562053696*x^10 + 25538565311650979755/3545997480890513424*x^9 + 3533058453900041723/393999720098945936*x^8 + 30765957712186199/590999580148418904*x^7 - 7170899758495526849/886499370222628356*x^6 - 475291714136837293/52147021777801668*x^5 + 7478173153705183/26073510888900834*x^4 - 2497461534163749/5794113530866852*x^3 + 3055681442992376723/886499370222628356*x^2 - 492258832702107655/221624842555657089*x - 936140898289849612/221624842555657089\",\n \"148604187271660765/3631101420431885746176*x^26 + 699623808450845/907775355107971436544*x^25 - 553756337262881/50431964172665079808*x^24 + 2908193279107049/226943838776992859136*x^23 - 542218130730041/50431964172665079808*x^22 - 699313308710605/453887677553985718272*x^21 + 367837329289799/37823973129498809856*x^20 + 747814232248685/226943838776992859136*x^19 + 278819193696384193/14183989923562053696*x^18 - 12443540869409349907/113471919388496429568*x^17 - 417385778701634831/56735959694248214784*x^16 + 1012601962810482091/28367979847124107392*x^15 - 2648242489360590971/3545997480890513424*x^14 + 210689573145210685/14183989923562053696*x^13 + 1409623424088780853/7091994961781026848*x^12 - 3489306589295615155/14183989923562053696*x^11 - 17468084395324911025/14183989923562053696*x^10 - 2297144912409434443/393999720098945936*x^9 - 7684622376069018053/1181999160296837808*x^8 + 3472719527161419787/3545997480890513424*x^7 + 6043953671578886465/886499370222628356*x^6 + 79704872588732719/8691170296300278*x^5 + 7247753314658551/26073510888900834*x^4 - 21931784921146607/8691170296300278*x^3 - 5431895479591594435/886499370222628356*x^2 - 1809950106709425185/443249685111314178*x + 65451622926183973/24624982506184121\",\n \"-11644163370391159/1815550710215942873088*x^26 + 19248784184464355/605183570071980957696*x^25 + 593318743953843/100863928345330159616*x^24 + 3988402743668987/302591785035990478848*x^23 - 89672055354361/113471919388496429568*x^22 + 6632691753448685/226943838776992859136*x^21 + 675272686848127/453887677553985718272*x^20 + 1590131698357/14183989923562053696*x^19 - 21842710817521801/7091994961781026848*x^18 + 1846973877410821955/56735959694248214784*x^17 - 3128205205364530769/37823973129498809856*x^16 - 44802671035439749/4727996641187351232*x^15 + 4255196360480560399/56735959694248214784*x^14 - 3783061514373378295/7091994961781026848*x^13 - 565869312692452449/3151997760791567488*x^12 - 820937133914457967/3545997480890513424*x^11 + 184655934447831967/787999440197891872*x^10 - 4762654925642945101/7091994961781026848*x^9 - 13558739140098625049/3545997480890513424*x^8 - 2511667292990936111/393999720098945936*x^7 - 13706241206703572021/3545997480890513424*x^6 + 1740202152524975/34764681185201112*x^5 + 465258912491613053/104294043555603336*x^4 - 39300213470551351/26073510888900834*x^3 + 1023917960114948597/295499790074209452*x^2 - 424743124341013568/221624842555657089*x - 28884550407699037/24624982506184121\",\n \"68710669176745/302591785035990478848*x^26 - 270346548172849/100863928345330159616*x^25 - 363193019685571/37823973129498809856*x^24 - 1372081991246423/56735959694248214784*x^23 - 135598896421061/226943838776992859136*x^22 - 58581884902507/18911986564749404928*x^21 - 359050063081291/37823973129498809856*x^20 - 4782292135454543/226943838776992859136*x^19 + 1024121681694053/9455993282374702464*x^18 - 17971127429151527/9455993282374702464*x^17 + 48927219822812239/18911986564749404928*x^16 + 100597086683401163/7091994961781026848*x^15 + 287575745860563521/4727996641187351232*x^14 + 658589603192135027/14183989923562053696*x^13 + 401141866057275973/2363998320593675616*x^12 + 6145645748494778029/14183989923562053696*x^11 + 419945736310559335/7091994961781026848*x^10 + 134992993166895157/1181999160296837808*x^9 + 996657814631458505/1181999160296837808*x^8 + 10664575746816122773/3545997480890513424*x^7 + 1133240333674650191/221624842555657089*x^6 + 47954265469278148/13036755444450417*x^5 - 61061684374118599/52147021777801668*x^4 - 42202196494683739/13036755444450417*x^3 - 304522273083180119/221624842555657089*x^2 + 416974890507284566/221624842555657089*x + 636554464165112/24624982506184121\",\n \"5974026101712865/1210367140143961915392*x^26 - 7719401439345929/226943838776992859136*x^25 - 13138407817098397/302591785035990478848*x^24 - 236439596737237/37823973129498809856*x^23 - 495021974801273/37823973129498809856*x^22 - 6826804690116263/226943838776992859136*x^21 - 604264889853973/37823973129498809856*x^20 + 1302837628902361/75647946258997619712*x^19 + 267267096884251343/113471919388496429568*x^18 - 26255541332258837/886499370222628356*x^17 + 4004324323878999983/56735959694248214784*x^16 + 2151372155520455393/18911986564749404928*x^15 - 707088315508601359/9455993282374702464*x^14 + 8630834897248159489/14183989923562053696*x^13 + 11680492086950210339/14183989923562053696*x^12 + 251006947639597439/1575998880395783744*x^11 + 31563028536638881/14183989923562053696*x^10 + 1210278157158047623/1181999160296837808*x^9 + 10343859808517600603/1772998740445256712*x^8 + 20647285985132914685/1772998740445256712*x^7 + 5514107415857723833/590999580148418904*x^6 - 3074690552822998/13036755444450417*x^5 - 196276041839549561/26073510888900834*x^4 - 255421582930563997/52147021777801668*x^3 - 3569420650380250679/886499370222628356*x^2 - 603459118484354063/221624842555657089*x + 708175776785730358/221624842555657089\",\n \"218313936967186841/3631101420431885746176*x^26 - 215539305427051/18911986564749404928*x^25 - 472494576760951/50431964172665079808*x^24 - 2234579007020281/151295892517995239424*x^23 + 1190216214559349/453887677553985718272*x^22 - 122872094282713/113471919388496429568*x^21 - 473315255950163/37823973129498809856*x^20 - 60898750061893/37823973129498809856*x^19 + 3275470422068092475/113471919388496429568*x^18 - 1185036764826363373/7091994961781026848*x^17 + 247183916948019689/9455993282374702464*x^16 + 85518521497042459/4727996641187351232*x^15 - 28309839957423250657/28367979847124107392*x^14 + 1790649486472532417/9455993282374702464*x^13 + 281526546358781323/1772998740445256712*x^12 + 340529028369926627/1181999160296837808*x^11 - 30007885012166265245/14183989923562053696*x^10 - 4791713855920333027/590999580148418904*x^9 - 26958734448637541173/3545997480890513424*x^8 + 365228063625134837/98499930024736484*x^7 + 11886079221019688107/886499370222628356*x^6 + 1418823060750376385/104294043555603336*x^5 - 211711115566136063/52147021777801668*x^4 - 61610026700325827/26073510888900834*x^3 - 7831345016241694765/886499370222628356*x^2 + 730087861998295099/443249685111314178*x + 1061911288466272229/221624842555657089\",\n \"-3650177811482389/37823973129498809856*x^26 - 13484145487130827/907775355107971436544*x^25 - 228844180464375/25215982086332539904*x^24 - 1402864184541619/226943838776992859136*x^23 - 965861773749533/75647946258997619712*x^22 - 37248264785039/28367979847124107392*x^21 - 441734645663479/37823973129498809856*x^20 + 2297773859433695/226943838776992859136*x^19 - 657051808896103223/14183989923562053696*x^18 + 111820401803575585/443249685111314178*x^17 + 2018588246551101115/56735959694248214784*x^16 + 151988496641390821/7091994961781026848*x^15 + 11900895431611218641/7091994961781026848*x^14 + 4118774001116137661/14183989923562053696*x^13 + 1097366955122860961/7091994961781026848*x^12 + 2029675687280855015/14183989923562053696*x^11 + 25017140702252649799/7091994961781026848*x^10 + 50272252371641591191/3545997480890513424*x^9 + 32501002361902503247/1772998740445256712*x^8 + 13198911165191721463/3545997480890513424*x^7 - 11706994241943023299/886499370222628356*x^6 - 1091458169768162185/52147021777801668*x^5 - 119414123824079021/52147021777801668*x^4 - 19983827626701322/13036755444450417*x^3 + 230036510190863985/24624982506184121*x^2 - 83077033799058448/24624982506184121*x - 1283595742975385144/221624842555657089\",\n \"63876298081352195/1210367140143961915392*x^26 - 65246211771295925/1815550710215942873088*x^25 + 756982833486385/302591785035990478848*x^24 - 3198172542080465/302591785035990478848*x^23 + 3507830509009901/226943838776992859136*x^22 - 4231163431070515/226943838776992859136*x^21 - 2907419206082659/453887677553985718272*x^20 + 688015603060517/56735959694248214784*x^19 + 2874808996439829907/113471919388496429568*x^18 - 18058078718686976711/113471919388496429568*x^17 + 11102988803664665795/113471919388496429568*x^16 - 4654636146027585/393999720098945936*x^15 - 49705165451323821547/56735959694248214784*x^14 + 2697130951151003675/4727996641187351232*x^13 + 108563446998197137/28367979847124107392*x^12 + 1457393510776152839/7091994961781026848*x^11 - 10032774368779589489/4727996641187351232*x^10 - 437248849641443632/73874947518552363*x^9 - 2992388848170148255/886499370222628356*x^8 + 19559813689399101041/3545997480890513424*x^7 + 33006757683076730921/3545997480890513424*x^6 + 83290516699277870/13036755444450417*x^5 - 826074802647187411/104294043555603336*x^4 + 32959612255246963/13036755444450417*x^3 - 1585789431323372962/221624842555657089*x^2 + 854706848069444524/221624842555657089*x - 79522201130219872/221624842555657089\",\n \"23020939582996625/1210367140143961915392*x^26 - 18020150643353/3545997480890513424*x^25 - 5856534693949735/302591785035990478848*x^24 - 59958333537757/12607991043166269952*x^23 + 74963777301733/12607991043166269952*x^22 - 4025996966254613/226943838776992859136*x^21 + 5279284374869/37823973129498809856*x^20 - 189302338063875/25215982086332539904*x^19 + 1034418801637982899/113471919388496429568*x^18 - 379911932726472529/7091994961781026848*x^17 + 246925866758684225/56735959694248214784*x^16 + 941067638797066099/18911986564749404928*x^15 - 986613113325624541/3151997760791567488*x^14 + 897668952846812239/14183989923562053696*x^13 + 5421422992284652433/14183989923562053696*x^12 + 369674453996426675/4727996641187351232*x^11 - 10580380640259626683/14183989923562053696*x^10 - 7700732219391979669/3545997480890513424*x^9 - 3031374941303971399/1772998740445256712*x^8 + 6936682570737588521/1772998740445256712*x^7 + 2061811381048144811/295499790074209452*x^6 + 51384161028886553/13036755444450417*x^5 - 62789654376441137/26073510888900834*x^4 - 120768241830124087/52147021777801668*x^3 - 600455868252307123/886499370222628356*x^2 + 526623038987879903/221624842555657089*x + 365096471572076228/221624842555657089\",\n \"193875257209525423/3631101420431885746176*x^26 + 25268676871051243/907775355107971436544*x^25 + 4470117336200781/100863928345330159616*x^24 + 3915584116200527/113471919388496429568*x^23 + 1292888185437235/37823973129498809856*x^22 + 2024017769456131/75647946258997619712*x^21 + 72261719672587/3151997760791567488*x^20 + 101708318518895/7091994961781026848*x^19 + 970444252424479825/37823973129498809856*x^18 - 410281358364284565/3151997760791567488*x^17 - 189815942582482777/3545997480890513424*x^16 - 5819762330839469993/56735959694248214784*x^15 - 28339003862479862825/28367979847124107392*x^14 - 2647914027817948003/4727996641187351232*x^13 - 3908823876849870289/4727996641187351232*x^12 - 1154281165773978565/1772998740445256712*x^11 - 34905382588822651885/14183989923562053696*x^10 - 668452263181940239/73874947518552363*x^9 - 51520329259520049655/3545997480890513424*x^8 - 43600066537543103713/3545997480890513424*x^7 - 1082882477035103858/221624842555657089*x^6 + 134579906624299849/26073510888900834*x^5 + 8924063911620665/2897056765433426*x^4 + 399002288082735347/52147021777801668*x^3 - 65835976844143251/98499930024736484*x^2 + 107309810602377286/73874947518552363*x + 368897654667132812/221624842555657089\",\n \"12560088428465101/907775355107971436544*x^26 + 5499102997598389/302591785035990478848*x^25 + 6611684572933489/302591785035990478848*x^24 + 1344767566076651/453887677553985718272*x^23 - 688374752026177/151295892517995239424*x^22 + 3331137409246427/226943838776992859136*x^21 + 333239539300783/37823973129498809856*x^20 - 1161823025336395/113471919388496429568*x^19 + 125793910250901763/18911986564749404928*x^18 - 403718180769487219/14183989923562053696*x^17 - 120902197201736997/3151997760791567488*x^16 - 3252921856839006101/56735959694248214784*x^15 - 1767646182381330713/7091994961781026848*x^14 - 8361066398143059707/28367979847124107392*x^13 - 5855214910230265019/14183989923562053696*x^12 - 141515233460619385/1772998740445256712*x^11 - 2603530924453274699/7091994961781026848*x^10 - 2536983266926913317/886499370222628356*x^9 - 20355493173813092315/3545997480890513424*x^8 - 21259762697293683401/3545997480890513424*x^7 - 367115565003686153/221624842555657089*x^6 + 197197800214386641/34764681185201112*x^5 + 155577581410631297/26073510888900834*x^4 + 42642953225337331/17382340592600556*x^3 - 60618972764413948/24624982506184121*x^2 - 64922393221052451/49249965012368242*x + 261881448513142961/221624842555657089\",\n \"19308608984980297/1210367140143961915392*x^26 - 1540253945759933/226943838776992859136*x^25 - 5006562009043241/302591785035990478848*x^24 + 5983817557219669/453887677553985718272*x^23 + 5055170914864559/151295892517995239424*x^22 - 1889597619402703/453887677553985718272*x^21 + 106090643619293/18911986564749404928*x^20 + 2441566360356323/226943838776992859136*x^19 + 434327961288903005/56735959694248214784*x^18 - 1308941208016359955/28367979847124107392*x^17 + 583778634564160979/56735959694248214784*x^16 + 2884412253771094301/56735959694248214784*x^15 - 8369596321946931751/28367979847124107392*x^14 + 360571260800587597/14183989923562053696*x^13 + 4255246009849521515/14183989923562053696*x^12 - 3371803344652355119/14183989923562053696*x^11 - 5475992103806185673/4727996641187351232*x^10 - 13785014231959202483/7091994961781026848*x^9 - 257717238851454485/221624842555657089*x^8 + 1685231814017571767/590999580148418904*x^7 + 4018600066206331855/1772998740445256712*x^6 - 151569224285260193/34764681185201112*x^5 - 459214547204935741/52147021777801668*x^4 - 53138785077064231/17382340592600556*x^3 + 3654155136549197887/886499370222628356*x^2 + 2478522902730044393/443249685111314178*x + 54013757199311879/221624842555657089\",\n \"78141601009309771/1210367140143961915392*x^26 + 331830047764791/25215982086332539904*x^25 + 402162312262871/25215982086332539904*x^24 + 1720532971904447/75647946258997619712*x^23 + 496422837644249/56735959694248214784*x^22 + 103215821987827/18911986564749404928*x^21 + 96088512989665/6303995521583134976*x^20 + 43645536128861/4727996641187351232*x^19 + 3516134424292196167/113471919388496429568*x^18 - 1581132085782439421/9455993282374702464*x^17 - 21838584241203299/787999440197891872*x^16 - 37758568555163089/1181999160296837808*x^15 - 33262992764579387201/28367979847124107392*x^14 - 220117749037513667/886499370222628356*x^13 - 83607382566049165/295499790074209452*x^12 - 507743793502024957/1181999160296837808*x^11 - 34158307648186565287/14183989923562053696*x^10 - 17128766110850319187/1772998740445256712*x^9 - 15621125728365302453/1181999160296837808*x^8 - 1580060324989839103/295499790074209452*x^7 + 8159498522595514951/1772998740445256712*x^6 + 584698088956170337/52147021777801668*x^5 + 36387346330458691/13036755444450417*x^4 + 5444298501710251/1448528382716713*x^3 - 4537600582083569203/886499370222628356*x^2 - 295072581412079569/221624842555657089*x + 1146080432313493349/221624842555657089\",\n \"-42655899772177105/1210367140143961915392*x^26 - 3979316105171617/226943838776992859136*x^25 - 1412918580764267/75647946258997619712*x^24 - 2297064049842437/75647946258997619712*x^23 - 758296054417415/56735959694248214784*x^22 - 250242184277599/56735959694248214784*x^21 - 400392354372385/18911986564749404928*x^20 - 51760797417101/4727996641187351232*x^19 - 1919752372653640813/113471919388496429568*x^18 + 1224235319736291995/14183989923562053696*x^17 + 270671238252442229/7091994961781026848*x^16 + 1754066550866611/49249965012368242*x^15 + 19409682456594548675/28367979847124107392*x^14 + 298585225269267043/886499370222628356*x^13 + 143799534580918055/443249685111314178*x^12 + 681276786314636087/1181999160296837808*x^11 + 20954819132112711253/14183989923562053696*x^10 + 5023250769615399595/886499370222628356*x^9 + 16376814100674952429/1772998740445256712*x^8 + 5965871728001961059/886499370222628356*x^7 + 3603546432519379139/1772998740445256712*x^6 - 65218771296909025/17382340592600556*x^5 - 15039650683183135/4345585148150139*x^4 - 62186024121385061/13036755444450417*x^3 + 192855155313013225/886499370222628356*x^2 + 112531271427072712/221624842555657089*x - 612992225130927869/221624842555657089\",\n \"-241472669180638237/3631101420431885746176*x^26 - 780187611294953/100863928345330159616*x^25 - 402831383532997/75647946258997619712*x^24 + 3542545392968941/453887677553985718272*x^23 - 35330679350371/50431964172665079808*x^22 + 4578985589532791/453887677553985718272*x^21 - 1767854643883/1575998880395783744*x^20 + 3135786209828945/226943838776992859136*x^19 - 452607086304432377/14183989923562053696*x^18 + 4965521504812991657/28367979847124107392*x^17 + 344930885245600739/18911986564749404928*x^16 + 512788822059111277/28367979847124107392*x^15 + 31993826466749924177/28367979847124107392*x^14 + 62232469298734973/443249685111314178*x^13 + 457773703989821047/7091994961781026848*x^12 - 1775872189649807785/14183989923562053696*x^11 + 32311972037364562925/14183989923562053696*x^10 + 22363052811671545319/2363998320593675616*x^9 + 10755784813579039181/886499370222628356*x^8 + 5330290591771870829/3545997480890513424*x^7 - 20353626204565426157/1772998740445256712*x^6 - 201980222528273119/11588227061733704*x^5 - 200838861324832933/52147021777801668*x^4 - 10925169822580475/4345585148150139*x^3 + 7119815921253998629/886499370222628356*x^2 + 14643776111365547/443249685111314178*x - 990329081726546680/221624842555657089\",\n \"-19676879591316583/907775355107971436544*x^26 - 7099098056632417/302591785035990478848*x^25 - 12584625432699727/302591785035990478848*x^24 - 1525393749646771/56735959694248214784*x^23 - 1118306040921791/37823973129498809856*x^22 - 6309674435111921/226943838776992859136*x^21 - 80360875658033/4727996641187351232*x^20 - 89535426586535/7091994961781026848*x^19 - 197223695096189749/18911986564749404928*x^18 + 1333336149484496489/28367979847124107392*x^17 + 4243165348379903/98499930024736484*x^16 + 5611488954888962393/56735959694248214784*x^15 + 383530013295343573/886499370222628356*x^14 + 6688262463745789993/14183989923562053696*x^13 + 11138040887130593027/14183989923562053696*x^12 + 446990838277530935/886499370222628356*x^11 + 2273689669985349863/1772998740445256712*x^10 + 979125593955718324/221624842555657089*x^9 + 30391728276916575005/3545997480890513424*x^8 + 38697303525413328713/3545997480890513424*x^7 + 14851627108174160983/1772998740445256712*x^6 + 2543511427015531/2897056765433426*x^5 - 62853363766404557/26073510888900834*x^4 - 38472548628751571/5794113530866852*x^3 - 198029215497403225/73874947518552363*x^2 - 194212602311146393/73874947518552363*x - 15486491627069936/221624842555657089\",\n \"-185405556121468601/3631101420431885746176*x^26 + 60264063202651409/1815550710215942873088*x^25 - 1066060889024281/302591785035990478848*x^24 + 1272114345797639/302591785035990478848*x^23 - 10397869812178333/453887677553985718272*x^22 + 937375594186853/151295892517995239424*x^21 + 806789165240575/453887677553985718272*x^20 - 1600271110400899/113471919388496429568*x^19 - 1391188095238447847/56735959694248214784*x^18 + 5795077085991367153/37823973129498809856*x^17 - 10321381303341868607/113471919388496429568*x^16 + 36240253227242703/3151997760791567488*x^15 + 48792589096655985343/56735959694248214784*x^14 - 1804884372401111629/3545997480890513424*x^13 + 1272948070695926839/28367979847124107392*x^12 - 595817529186488219/7091994961781026848*x^11 + 10368255748179884053/4727996641187351232*x^10 + 42591837614963858521/7091994961781026848*x^9 + 3204954969891492035/886499370222628356*x^8 - 16593956128109025407/3545997480890513424*x^7 - 26750347657931311565/3545997480890513424*x^6 - 401532432506330747/104294043555603336*x^5 + 117641902600157883/11588227061733704*x^4 - 2326864269404686/4345585148150139*x^3 + 276612859914210161/49249965012368242*x^2 - 2411111775551978767/443249685111314178*x - 27319379878070935/73874947518552363\",\n \"16025691376508621/605183570071980957696*x^26 + 3547210336937791/226943838776992859136*x^25 + 203586977151603/12607991043166269952*x^24 + 8039267668925891/453887677553985718272*x^23 + 68122429148309/6303995521583134976*x^22 + 328439065503199/56735959694248214784*x^21 + 567025998427309/37823973129498809856*x^20 + 55507602683579/28367979847124107392*x^19 + 30079486809060871/2363998320593675616*x^18 - 7227133310697892339/113471919388496429568*x^17 - 485985341616622417/14183989923562053696*x^16 - 990061381861159123/28367979847124107392*x^15 - 14184503648142742769/28367979847124107392*x^14 - 525458314509284311/1772998740445256712*x^13 - 2038108280997715481/7091994961781026848*x^12 - 2449836234386443873/7091994961781026848*x^11 - 7806813303539766659/7091994961781026848*x^10 - 31377180805240089271/7091994961781026848*x^9 - 1617577549098642635/221624842555657089*x^8 - 4852186448473466413/886499370222628356*x^7 - 295106612649344615/221624842555657089*x^6 + 426534358593535889/104294043555603336*x^5 + 39779653266104879/13036755444450417*x^4 + 43148196044180341/13036755444450417*x^3 - 139755696656825846/221624842555657089*x^2 - 68618012939442290/221624842555657089*x + 38048287720838572/73874947518552363\",\n \"28694592803188997/403455713381320638464*x^26 + 24311646381201875/907775355107971436544*x^25 + 3162843713302957/100863928345330159616*x^24 + 6139484681569639/453887677553985718272*x^23 + 3062446295672197/226943838776992859136*x^22 + 4161528355950269/226943838776992859136*x^21 + 651203912584709/37823973129498809856*x^20 - 463861296934999/56735959694248214784*x^19 + 3877667198769869507/113471919388496429568*x^18 - 20237764522576666967/113471919388496429568*x^17 - 403758656882817223/7091994961781026848*x^16 - 4415095738547322439/56735959694248214784*x^15 - 4463952253388309719/3545997480890513424*x^14 - 1738426276286264933/3545997480890513424*x^13 - 8267649844774463237/14183989923562053696*x^12 - 2013920954885028431/7091994961781026848*x^11 - 37625084952078493927/14183989923562053696*x^10 - 80844554925221312143/7091994961781026848*x^9 - 59085719424282913147/3545997480890513424*x^8 - 32423061212812469921/3545997480890513424*x^7 + 186426001825006555/49249965012368242*x^6 + 1658867269856185673/104294043555603336*x^5 + 32609898132878767/5794113530866852*x^4 + 230050940876052911/52147021777801668*x^3 - 1928218570168676707/295499790074209452*x^2 - 11602794668560334/73874947518552363*x + 904849392959365426/221624842555657089\",\n \"19121230894690013/1210367140143961915392*x^26 - 9450286036636697/907775355107971436544*x^25 - 2187380026146089/75647946258997619712*x^24 - 7476111380866475/453887677553985718272*x^23 - 2096598449202375/50431964172665079808*x^22 - 3839022066262249/453887677553985718272*x^21 - 28879771074715/4727996641187351232*x^20 - 3393054183591415/226943838776992859136*x^19 + 215017063958348603/28367979847124107392*x^18 - 336649136847293935/7091994961781026848*x^17 + 798899069797979489/56735959694248214784*x^16 + 1981030199450495005/28367979847124107392*x^15 - 7055069787391756015/28367979847124107392*x^14 + 2039799208708572653/7091994961781026848*x^13 + 3685442316880530799/7091994961781026848*x^12 + 4168040622939578495/14183989923562053696*x^11 + 2986693744712668937/14183989923562053696*x^10 - 4067941958113252469/2363998320593675616*x^9 + 37835109501181843/3545997480890513424*x^8 + 7892527339044985415/1181999160296837808*x^7 + 19672823451862357183/1772998740445256712*x^6 + 376971124156745843/34764681185201112*x^5 + 72660971639834285/52147021777801668*x^4 - 10262540502518445/1448528382716713*x^3 - 2587785816976029037/295499790074209452*x^2 - 798764275390578491/147749895037104726*x + 725857955754679978/221624842555657089\",\n \"26118014147805841/605183570071980957696*x^26 + 14926513233012359/453887677553985718272*x^25 + 10583208153676139/302591785035990478848*x^24 + 225204457266333/50431964172665079808*x^23 + 966261470683867/56735959694248214784*x^22 + 4934756727717637/226943838776992859136*x^21 + 161107824158657/9455993282374702464*x^20 - 548031570093859/25215982086332539904*x^19 + 392287976368539499/18911986564749404928*x^18 - 11373732003264304483/113471919388496429568*x^17 - 4062673820307838291/56735959694248214784*x^16 - 1738152319925811269/18911986564749404928*x^15 - 21263759134479908323/28367979847124107392*x^14 - 951279985205009929/1575998880395783744*x^13 - 9285522268182149479/14183989923562053696*x^12 - 630908589849414919/4727996641187351232*x^11 - 675230059824732793/393999720098945936*x^10 - 54541806605376584809/7091994961781026848*x^9 - 23296086108265746595/1772998740445256712*x^8 - 4477055794218080173/443249685111314178*x^7 - 203422281208601869/1772998740445256712*x^6 + 1174041945652347983/104294043555603336*x^5 + 85762590316815553/13036755444450417*x^4 + 204487550534915783/52147021777801668*x^3 - 178695881103511355/73874947518552363*x^2 + 189809047590496135/73874947518552363*x + 198374479877332154/73874947518552363\",\n \"-3439537602482359/35951499212196888576*x^26 - 272656416467039/8987874803049222144*x^25 - 34180740669603/998652755894358016*x^24 - 17211499986653/561742175190576384*x^23 - 33481546167055/1497979133841537024*x^22 - 133331606980673/4493937401524611072*x^21 - 1656686004297/62415797243397376*x^20 - 2654004653035/1123484350381152768*x^19 - 4302251664954155/93623695865096064*x^18 + 272567720026833355/1123484350381152768*x^17 + 18287393983236433/280871087595288192*x^16 + 43422240103941679/561742175190576384*x^15 + 242229679171895345/140435543797644096*x^14 + 80053343092085237/140435543797644096*x^13 + 92442242201591263/140435543797644096*x^12 + 42109128027298505/70217771898822048*x^11 + 517427254473597065/140435543797644096*x^10 + 266203801127399593/17554442974705512*x^9 + 41908909881035031/1950493663856168*x^8 + 382356130090931489/35108885949411024*x^7 - 81912219159237607/17554442974705512*x^6 - 2950554989255843/172102382104956*x^5 - 1878846655777025/516307146314868*x^4 - 624088573566823/172102382104956*x^3 + 66622371888074711/8777221487352756*x^2 - 5582144165463287/4388610743676378*x - 11696282325326585/2194305371838189\",\n \"181918713344795/605183570071980957696*x^26 + 1291259194424159/56735959694248214784*x^25 + 3026015647120847/100863928345330159616*x^24 - 1742806040451107/453887677553985718272*x^23 + 260869544426863/37823973129498809856*x^22 + 5275427301359939/226943838776992859136*x^21 + 65373130558361/9455993282374702464*x^20 - 3963041166340195/226943838776992859136*x^19 + 8454061488563915/56735959694248214784*x^18 + 1151058298050765091/113471919388496429568*x^17 - 2653374798065410619/56735959694248214784*x^16 - 4682267078789555533/56735959694248214784*x^15 + 239725157639678357/28367979847124107392*x^14 - 5682648000881939017/14183989923562053696*x^13 - 8192706268373797217/14183989923562053696*x^12 + 558214026265177235/14183989923562053696*x^11 - 7873622572201101/98499930024736484*x^10 - 2907962132197157681/2363998320593675616*x^9 - 995942488378774606/221624842555657089*x^8 - 13394294594250869359/1772998740445256712*x^7 - 1998225513621271115/443249685111314178*x^6 + 227949203698806607/104294043555603336*x^5 + 134179946745521231/26073510888900834*x^4 + 135578149177813841/52147021777801668*x^3 + 801409372276370141/443249685111314178*x^2 + 411368756297489032/221624842555657089*x - 690534319463840287/221624842555657089\",\n \"-50179455458629945/453887677553985718272*x^26 - 26107618255646809/907775355107971436544*x^25 - 8887496806056253/302591785035990478848*x^24 - 792546143478937/113471919388496429568*x^23 + 108142988159795/12607991043166269952*x^22 - 3830263841028371/226943838776992859136*x^21 - 157214873158795/9455993282374702464*x^20 + 243832991837173/14183989923562053696*x^19 - 334628684962465919/6303995521583134976*x^18 + 2009637179507080817/7091994961781026848*x^17 + 112067577247798781/1772998740445256712*x^16 + 4290650555915124883/56735959694248214784*x^15 + 3427733791512055825/1772998740445256712*x^14 + 6606680245473343783/14183989923562053696*x^13 + 7729166422361323265/14183989923562053696*x^12 + 307927527444895337/1772998740445256712*x^11 + 12832153615056869813/3545997480890513424*x^10 + 30053709204898131581/1772998740445256712*x^9 + 3452391432152941021/147749895037104726*x^8 + 10392974207572334233/1181999160296837808*x^7 - 2806968837125041898/221624842555657089*x^6 - 375339793646746406/13036755444450417*x^5 - 248601966764130425/26073510888900834*x^4 - 188184938373837569/52147021777801668*x^3 + 351492173997947000/24624982506184121*x^2 + 281559055901524268/73874947518552363*x - 1744473489580568818/221624842555657089\",\n \"-1\"\n ],\n \"basis_masks\": [\n 1,\n 2,\n 75557863725914323419132,\n 340282366920938463238788516913299610028,\n 22835962746204469059207703444863309877747623268,\n 2902899506899056241344422541397254066853960361224,\n 185794032455155100202218444662527534938559053201272,\n 292937444961604622125066735461160604519277067119220,\n 239883225029436699685078145843826763593111010700964,\n 526667384777785601272825398389480040336995438699544,\n 420194644883159538619437351545980246806236527434528,\n 460902676585119031889718828515251931876950165264544,\n 414535565806204785749449783453950022453346682693284,\n 668733119313652228002295705739002769503169926665824,\n 146967562338550104977972300951468704743278331322244,\n 455171646405657333875282919609959969831020708493636,\n 748288838313422294120286634350736906063837462003712\n ],\n \"even_y_witness_x\": -63,\n \"odd_y_witness_y\": [\n -31,\n -29\n ],\n \"precision\": 48\n}\n" }, { "path": "anc/code/1.1.10/9111_strict_window.json", "size_bytes": 2456, "sha256": "2774cee336ca929e5474375c93b6d69e54b0ca5d38c08ebd11825735df8dc323", "mode": 420, "encoding": "utf-8", "text": "{\n \"index\": 9111,\n \"polynomial\": \"x^27+480*x^19-2688*x^18-17280*x^15-34560*x^11-141312*x^10-162816*x^9+165888*x^7+221184*x^6-126976*x^3+49152*x-32768\",\n \"principal_cutoff\": 15000000,\n \"support\": 100000000000,\n \"heights\": [\n 659514858,\n 1029598159,\n 1389078926,\n 1749129790,\n 2109548527,\n 2468872440,\n 2825627005,\n 3178501298,\n 3528245973,\n 3872096431,\n 4213771349,\n 4546708402,\n 4869388887,\n 5184165667,\n 5496794884,\n 5799107973,\n 6089888227,\n 6367857646,\n 6631959670,\n 6882272701,\n 7120112136,\n 7346813693,\n 7558616414,\n 7756697568,\n 7939931611,\n 8107778964,\n 8263556533,\n 8410182501,\n 8549316232,\n 8680523115,\n 8803922316,\n 8919863783,\n 9029010333,\n 9131774764,\n 9227279603,\n 9315731764,\n 9397513075,\n 9472857191,\n 9541148293,\n 9602483587,\n 9657588258,\n 9706742034,\n 9749808610,\n 9786889933,\n 9817714867,\n 9842230879,\n 9863765551,\n 9882724439,\n 9899589545,\n 9914686940,\n 9928088522,\n 9940075128,\n 9950460917,\n 9959682216,\n 9967721723,\n 9974716441,\n 9980853635,\n 9985943781,\n 9990161954,\n 9993548908,\n 9996209898,\n 9998079333,\n 9999324196,\n 10000000000,\n 10000000000,\n 9999324196,\n 9998079333,\n 9996209898,\n 9993548908,\n 9990161954,\n 9985943781,\n 9980853635,\n 9974716441,\n 9967721723,\n 9959682216,\n 9950460917,\n 9940075128,\n 9928088522,\n 9914686940,\n 9899589545,\n 9882724439,\n 9863765551,\n 9842230879,\n 9817714867,\n 9786889933,\n 9749808610,\n 9706742034,\n 9657588258,\n 9602483587,\n 9541148293,\n 9472857191,\n 9397513075,\n 9315731764,\n 9227279603,\n 9131774764,\n 9029010333,\n 8919863783,\n 8803922316,\n 8680523115,\n 8549316232,\n 8410182501,\n 8263556533,\n 8107778964,\n 7939931611,\n 7756697568,\n 7558616414,\n 7346813693,\n 7120112136,\n 6882272701,\n 6631959670,\n 6367857646,\n 6089888227,\n 5799107973,\n 5496794884,\n 5184165667,\n 4869388887,\n 4546708402,\n 4213771349,\n 3872096431,\n 3528245973,\n 3178501298,\n 2825627005,\n 2468872440,\n 2109548527,\n 1749129790,\n 1389078926,\n 1029598159,\n 659514858\n ],\n \"rootcount_character_lower_bound\": {\n \"0\": 0,\n \"1\": -1,\n \"2\": -2,\n \"3\": -3,\n \"5\": -3,\n \"7\": -5,\n \"9\": -3,\n \"11\": -5,\n \"15\": -5,\n \"27\": -5\n }\n}\n" }, { "path": "anc/code/1.1.10/9111_strict_window_verified.json", "size_bytes": 5184, "sha256": "882c1bfe0d26d2cef10a3087f071f9c2698d0a75eb474fec36e64aa881aecaf7", "mode": 420, "encoding": "utf-8", "text": "{\n \"index\": 9111,\n \"criterion\": \"strict Selmer characters only\",\n \"precision_bits\": 224,\n \"support\": 100000000000,\n \"principal_cutoff\": 15000000,\n \"window_cells\": 128,\n \"integer_window_denominator\": \"8467956940673167963254\",\n \"principal_ideal_count_required\": 971856,\n \"principal_prime_power_terms\": 37687,\n \"principal_large_norm_bins\": 7715,\n \"low_norm_stream_sha256\": \"0c791ae6f3a8effe964a68a1ee492c855a4e961c26cba5ff4aac0debaa1a60b5\",\n \"higher_degree_nonprincipal_ideal_count\": 26759,\n \"census_prefix_exclusive\": 765000000,\n \"census_blocks\": 30,\n \"census_prime_count\": 38465791,\n \"census_root_counts\": {\n \"0\": 17610407,\n \"1\": 12425717,\n \"2\": 3851583,\n \"3\": 2971635,\n \"5\": 1200580,\n \"7\": 200672,\n \"9\": 177984,\n \"15\": 26479,\n \"27\": 734\n },\n \"archimedean_interval\": \"[-1.42016127359146944673304513235403572096560836775720339840641917011 +/- 7.39e-66]\",\n \"principal_sum_interval\": \"[1.53547434901545447756759175939565314162343181132715009293110200 +/- 5.81e-63]\",\n \"higher_degree_lower_interval\": \"[-8.78024795564985661011727457205616029109663741764380001482241119e-6 +/- 7.55e-69]\",\n \"census_lower_interval\": \"[-0.0590216892970131645604142202693292251221170070172108615685082228 +/- 6.07e-65]\",\n \"dusart_tail_lower_interval\": \"[-0.048905519324704961090943976056724836140610350634229767874813239256 +/- 2.99e-67]\",\n \"B_interval\": \"[0.00737708655431125532657831344099130323480498928108842128134655 +/- 4.37e-63]\",\n \"rigorously_positive\": true,\n \"census_block_hashes\": [\n [\n 15000000,\n 40000000,\n \"85497fe5b76a60e27375b356089b4079df1cb3b6e74bd48bb3dd980eccb5e8e7\"\n ],\n [\n 40000000,\n 65000000,\n \"d620d9b4eb4f91a1cf5495c66fd30a9cb9726ece8bd3827c38b448eb9518ec90\"\n ],\n [\n 65000000,\n 90000000,\n \"c94a34f09df844c41bc0c52f1b3276f32f91ab2649c00ef877bcb7ad4a284fbc\"\n ],\n [\n 90000000,\n 115000000,\n \"945a847ca2555b988b3067dfe9a27e1ab873fc1550ea771795fccc10b8cfcd4e\"\n ],\n [\n 115000000,\n 140000000,\n \"359e924d7f58b697e787766fae30908c4193a2c27a8fd5599af3438faebb635d\"\n ],\n [\n 140000000,\n 165000000,\n \"89630f32cc7a312336c6e23539cc628e86379bedb1f883153ded902ce73f1bcd\"\n ],\n [\n 165000000,\n 190000000,\n \"66fb97c82f40d22e84311f27bc2a30e0b8e4ccafac12ade4be4cf64c8c22a7ed\"\n ],\n [\n 190000000,\n 215000000,\n \"d3f1be1d95f204c38d6b6b269c8eddb1be41bc6caaa403711eb2cf5e0855520d\"\n ],\n [\n 215000000,\n 240000000,\n \"788ff6f9348bffa18de7e181b670349e631eb1912af54d2582da67caa0a38a82\"\n ],\n [\n 240000000,\n 265000000,\n \"86c5402a4c114df8517e0839b6b8814df70447cd2ad80009a394017c513469ac\"\n ],\n [\n 265000000,\n 290000000,\n \"648e90ec6dd0f82136ab9e9cb583b04024bf8a5189ecc1db69aa8c40e5d49a18\"\n ],\n [\n 290000000,\n 315000000,\n \"46ec880806af320a0d505bea387c6dbe8b26272d30dff77212feaf5646ae9373\"\n ],\n [\n 315000000,\n 340000000,\n \"37fd6def7980568044616f9f070bcb70d681e167c6dc42c5b00ff87566c7e830\"\n ],\n [\n 340000000,\n 365000000,\n \"d875189547a8d65bd52e301c734c56d59a2f9fbf4cec2d9d1af2f418f4a95cea\"\n ],\n [\n 365000000,\n 390000000,\n \"2115e1dd9cfdf31aa83f6fa68b5dcdea54b06a2d39876833d8823a5193816fa8\"\n ],\n [\n 390000000,\n 415000000,\n \"333ece16d1d074ab02dea46d4c7e624e8bed489da981f727abb83a0a3f88fc33\"\n ],\n [\n 415000000,\n 440000000,\n \"3617aede916688a9eed85b4c898e2b39937072dc4b73aeff6debb410e60b7292\"\n ],\n [\n 440000000,\n 465000000,\n \"1eb82148aa56a3c3064c1a797f471a87df4c3627c06116ebcc8408ba11756b4b\"\n ],\n [\n 465000000,\n 490000000,\n \"a2ade4af3bd4fa1527527a3b48a9e2238c38187f0e3bb12e761dd73058a30109\"\n ],\n [\n 490000000,\n 515000000,\n \"72faf1dbbb31a67b9cfd54150517748783c4fbae2b10b7cf48f1bc21c97bda41\"\n ],\n [\n 515000000,\n 540000000,\n \"af7036445f95bdfdd1807c7afd10b0255f6e52a5a8aa77e1105aee4228d08173\"\n ],\n [\n 540000000,\n 565000000,\n \"5641d27b983b8974f19cbebb8ba625e7043e806fd8092d0866abb673aa7dfb98\"\n ],\n [\n 565000000,\n 590000000,\n \"001ba4deae88c3196f2595e02cc60b3db6eb411355741f2e1162384768ddaba3\"\n ],\n [\n 590000000,\n 615000000,\n \"85a08d1c91ac6f2a0981e74484bd08a0766a442cd1fffc63a2da15af3c84d607\"\n ],\n [\n 615000000,\n 640000000,\n \"dcbc9320b04205cab530e3077b205c84d9c55b105c5a6f33b77efcfd76556ecd\"\n ],\n [\n 640000000,\n 665000000,\n \"c54dcc020fc79d66c3e3c0c48171b975f0f2a2474855619b14d925f36137fafb\"\n ],\n [\n 665000000,\n 690000000,\n \"48328008793aeae63ea9c23aaa98e5db478392485833aeb14b79472ce23aedaa\"\n ],\n [\n 690000000,\n 715000000,\n \"93a10340be758dec8bf0ccde66554b041351cd9e047ce7b75ddcc4aa7def7e04\"\n ],\n [\n 715000000,\n 740000000,\n \"a2268283d5f180e5a3b038ac7a1983242b3dc8c8b2f8b189360c1fe783629da2\"\n ],\n [\n 740000000,\n 765000000,\n \"e23e080ae9c0854ed9d5b072164d806ca97f4c830e8915fb40f019224efda91a\"\n ]\n ],\n \"rigorously_greater_than_7_over_1000\": true,\n \"seconds\": 0.66\n}\n" }, { "path": "anc/code/1.1.10/expected/1.1.10_full_replay.txt", "size_bytes": 7093, "sha256": "c1d83d561505b9db3ee761bf00f7229894dbcd28d4aa88f0f2ac2f21172c6053", "mode": 420, "encoding": "utf-8", "text": "# Full replay of this folder's code, run here on 14-15 October 2026 (Python 3.11, cypari2 / PARI 2.17.4,\n# python-flint 0.9.0, 2 workers). The run was interrupted once during 1.1.10c after 242 of 750 prime blocks\n# (all from norm 1) and continued with --resume; the remaining stages ran unchanged. Key lines only.\n\n## 1.1.10a, b, h, g (verify_all.py, first part)\nALL EXACT GEOMETRY AND DYADIC ARITHMETIC ASSERTIONS PASSED; STRICT-CHARACTER RANK ARGUMENT IS SEPARATE\n \"all_checks_passed\": true\nALL EXACT LOCAL ASSERTIONS PASSED; FINITE SIEVE AND RANK PREMISES REMAIN SEPARATE\nALL FINITE SIEVE ASSERTIONS PASSED\n\n## 1.1.10c certify_9111_principals_fast.py --bound 15000000 --workers 2 (blocks 1-242, then --resume)\n{\"block\": [\"primes\", 20002, 40001], \"completed\": 1, \"total\": 750, \"ideals\": 1964, \"seconds\": 35.25}\n{\"block\": [\"primes\", 4820002, 4840001], \"completed\": 242, \"total\": 750, \"ideals\": 338347, \"seconds\": 2710.21}\nRESUMING 242 completed blocks; 508 remaining with 2 workers.\n{\"block\": [\"primes\", 14980002, 15000000], \"completed\": 750, \"total\": 750, \"ideals\": 971856, \"seconds\": 7990.0}\nALL PRIME IDEALS THROUGH NORM 15000000 PROVED PRINCIPAL: 971856 in 7990.389242052001 seconds.\n\n## 1.1.10d low_norm_census_9111.py\nKNOWN_PRIME_IDEALS 971856 SMALL_EXACT_NORMS 14761 LARGE_POSITIVE_BINS 7715 HIGHER_UNKNOWN_NORMS 12028 HIGHER_UNKNOWN_IDEALS 26759 SHA256 0c791ae6f3a8effe964a68a1ee492c855a4e961c26cba5ff4aac0debaa1a60b5 SECONDS 59.37547981499938\n\n## 1.1.10e census_stream_9111.py --start 15000000 --stop 765000000 --block 25000000 --workers 2 --verify\nSTART 15000000 765000000 BLOCKS 30 REUSED 0 WORKERS 2\nBLOCK 15000000 40000000 PRIMES 1462950 SECONDS 170.701 COMPLETE 1 PREFIX 40000000 TOTAL_PRIMES 1462950 WALL 171.01\nBLOCK 40000000 65000000 PRIMES 1406900 SECONDS 173.268 COMPLETE 2 PREFIX 65000000 TOTAL_PRIMES 2869850 WALL 173.58\nBLOCK 65000000 90000000 PRIMES 1376400 SECONDS 174.106 COMPLETE 3 PREFIX 90000000 TOTAL_PRIMES 4246250 WALL 345.15\nBLOCK 90000000 115000000 PRIMES 1355696 SECONDS 176.468 COMPLETE 4 PREFIX 115000000 TOTAL_PRIMES 5601946 WALL 350.07\nBLOCK 115000000 140000000 PRIMES 1339549 SECONDS 142.486 COMPLETE 5 PREFIX 140000000 TOTAL_PRIMES 6941495 WALL 487.67\nBLOCK 140000000 165000000 PRIMES 1326783 SECONDS 139.156 COMPLETE 6 PREFIX 165000000 TOTAL_PRIMES 8268278 WALL 489.27\nBLOCK 165000000 190000000 PRIMES 1316491 SECONDS 124.881 COMPLETE 7 PREFIX 190000000 TOTAL_PRIMES 9584769 WALL 612.6\nBLOCK 190000000 215000000 PRIMES 1306795 SECONDS 123.661 COMPLETE 8 PREFIX 215000000 TOTAL_PRIMES 10891564 WALL 612.95\nBLOCK 240000000 265000000 PRIMES 1292241 SECONDS 122.755 COMPLETE 9 PREFIX 215000000 TOTAL_PRIMES 12183805 WALL 735.73\nBLOCK 215000000 240000000 PRIMES 1299276 SECONDS 123.485 COMPLETE 10 PREFIX 265000000 TOTAL_PRIMES 13483081 WALL 736.11\nBLOCK 265000000 290000000 PRIMES 1285878 SECONDS 74.205 COMPLETE 11 PREFIX 290000000 TOTAL_PRIMES 14768959 WALL 809.94\nBLOCK 290000000 315000000 PRIMES 1280380 SECONDS 75.612 COMPLETE 12 PREFIX 315000000 TOTAL_PRIMES 16049339 WALL 811.74\nBLOCK 315000000 340000000 PRIMES 1274562 SECONDS 69.407 COMPLETE 13 PREFIX 340000000 TOTAL_PRIMES 17323901 WALL 879.37\nBLOCK 340000000 365000000 PRIMES 1270205 SECONDS 68.826 COMPLETE 14 PREFIX 365000000 TOTAL_PRIMES 18594106 WALL 880.63\nBLOCK 390000000 415000000 PRIMES 1261615 SECONDS 70.655 COMPLETE 15 PREFIX 365000000 TOTAL_PRIMES 19855721 WALL 951.29\nBLOCK 365000000 390000000 PRIMES 1266400 SECONDS 72.04 COMPLETE 16 PREFIX 415000000 TOTAL_PRIMES 21122121 WALL 951.42\nBLOCK 415000000 440000000 PRIMES 1257730 SECONDS 70.276 COMPLETE 17 PREFIX 440000000 TOTAL_PRIMES 22379851 WALL 1021.58\nBLOCK 440000000 465000000 PRIMES 1254616 SECONDS 71.277 COMPLETE 18 PREFIX 465000000 TOTAL_PRIMES 23634467 WALL 1022.71\nBLOCK 465000000 490000000 PRIMES 1251197 SECONDS 71.427 COMPLETE 19 PREFIX 490000000 TOTAL_PRIMES 24885664 WALL 1093.02\nBLOCK 490000000 515000000 PRIMES 1246762 SECONDS 72.679 COMPLETE 20 PREFIX 515000000 TOTAL_PRIMES 26132426 WALL 1095.41\nBLOCK 515000000 540000000 PRIMES 1245251 SECONDS 74.889 COMPLETE 21 PREFIX 540000000 TOTAL_PRIMES 27377677 WALL 1167.93\nBLOCK 540000000 565000000 PRIMES 1241973 SECONDS 88.777 COMPLETE 22 PREFIX 565000000 TOTAL_PRIMES 28619650 WALL 1184.21\nBLOCK 565000000 590000000 PRIMES 1239190 SECONDS 95.945 COMPLETE 23 PREFIX 590000000 TOTAL_PRIMES 29858840 WALL 1263.89\nBLOCK 590000000 615000000 PRIMES 1237127 SECONDS 95.44 COMPLETE 24 PREFIX 615000000 TOTAL_PRIMES 31095967 WALL 1279.66\nBLOCK 615000000 640000000 PRIMES 1233779 SECONDS 93.599 COMPLETE 25 PREFIX 640000000 TOTAL_PRIMES 32329746 WALL 1357.5\nBLOCK 640000000 665000000 PRIMES 1231874 SECONDS 93.388 COMPLETE 26 PREFIX 665000000 TOTAL_PRIMES 33561620 WALL 1373.08\nBLOCK 665000000 690000000 PRIMES 1229423 SECONDS 94.691 COMPLETE 27 PREFIX 690000000 TOTAL_PRIMES 34791043 WALL 1452.22\nBLOCK 690000000 715000000 PRIMES 1227293 SECONDS 96.918 COMPLETE 28 PREFIX 715000000 TOTAL_PRIMES 36018336 WALL 1470.01\nBLOCK 715000000 740000000 PRIMES 1224947 SECONDS 98.751 COMPLETE 29 PREFIX 740000000 TOTAL_PRIMES 37243283 WALL 1550.98\nBLOCK 740000000 765000000 PRIMES 1222508 SECONDS 99.133 COMPLETE 30 PREFIX 765000000 TOTAL_PRIMES 38465791 WALL 1569.16\nCOMPLETE {\"start\": 15000000, \"stop\": 765000000, \"block_size\": 25000000, \"completed_blocks\": 30, \"total_primes\": 38465791, \"seconds\": 1569.180365755}\n\n## 1.1.10f verify_9111_strict_window.py --require-positive\n{\n \"index\": 9111,\n \"criterion\": \"strict Selmer characters only\",\n \"precision_bits\": 224,\n \"support\": 100000000000,\n \"principal_cutoff\": 15000000,\n \"window_cells\": 128,\n \"integer_window_denominator\": \"8467956940673167963254\",\n \"principal_ideal_count_required\": 971856,\n \"principal_prime_power_terms\": 37687,\n \"principal_large_norm_bins\": 7715,\n \"low_norm_stream_sha256\": \"0c791ae6f3a8effe964a68a1ee492c855a4e961c26cba5ff4aac0debaa1a60b5\",\n \"higher_degree_nonprincipal_ideal_count\": 26759,\n \"census_prefix_exclusive\": 765000000,\n \"census_blocks\": 30,\n \"census_prime_count\": 38465791,\n \"census_root_counts\": {\n \"0\": 17610407,\n \"1\": 12425717,\n \"2\": 3851583,\n \"3\": 2971635,\n \"5\": 1200580,\n \"7\": 200672,\n \"9\": 177984,\n \"15\": 26479,\n \"27\": 734\n },\n \"archimedean_interval\": \"[-1.42016127359146944673304513235403572096560836775720339840641917011 +/- 7.39e-66]\",\n \"principal_sum_interval\": \"[1.53547434901545447756759175939565314162343181132715009293110200 +/- 5.81e-63]\",\n \"higher_degree_lower_interval\": \"[-8.78024795564985661011727457205616029109663741764380001482241119e-6 +/- 7.55e-69]\",\n \"census_lower_interval\": \"[-0.0590216892970131645604142202693292251221170070172108615685082228 +/- 6.07e-65]\",\n \"dusart_tail_lower_interval\": \"[-0.048905519324704961090943976056724836140610350634229767874813239256 +/- 2.99e-67]\",\n \"B_interval\": \"[0.00737708655431125532657831344099130323480498928108842128134655 +/- 4.37e-63]\",\n \"rigorously_positive\": true,\n \"rigorously_greater_than_7_over_1000\": true,\n \"seconds\": 0.598\n}\nALL EXACT REPLAYS PASSED (resumed run).\n# All 25 fields of the result above are equal to the recorded file 9111_strict_window_verified.json.\n" }, { "path": "anc/code/1.1.10/expected/1.1.10a.txt", "size_bytes": 2802, "sha256": "9345c922b58023b78a7b8e71d2617fd572008a523ca08a655fef857133c4b6c7", "mode": 420, "encoding": "utf-8", "text": "{\n \"index\": 9111,\n \"finite_support\": [\n 2\n ],\n \"nodes\": [\n {\n \"p\": 31,\n \"x\": 22,\n \"y\": 14,\n \"hessian\": 25,\n \"critical_x\": \"48568\",\n \"critical_y\": \"790235\",\n \"value_mod_p4\": \"291834\",\n \"thickness\": 1\n },\n {\n \"p\": 433,\n \"x\": 6,\n \"y\": 421,\n \"hessian\": 72,\n \"critical_x\": \"22217259883\",\n \"critical_y\": \"8482749706\",\n \"value_mod_p4\": \"33122368774\",\n \"thickness\": 1\n },\n {\n \"p\": 2341,\n \"x\": 2236,\n \"y\": 823,\n \"hessian\": 1553,\n \"critical_x\": \"7186515996216\",\n \"critical_y\": \"20712730680954\",\n \"value_mod_p4\": \"24588261114959\",\n \"thickness\": 1\n }\n ],\n \"bitangent_degree\": 27,\n \"signature\": [\n 3,\n 12\n ],\n \"discriminant\": \"1033727079572205527447879379643917888211892763703115776\",\n \"code_dimension\": 6,\n \"code_weights\": [\n 12,\n 16\n ],\n \"certificate_scope\": \"Unconditional geometry and dyadic ingredients; the separate strict-character argument supplies the rank bound.\",\n \"known_independent_S_squareclasses\": 17,\n \"dyadic_fields\": [\n {\n \"e\": 8,\n \"f\": 3,\n \"dimension\": 26\n },\n {\n \"e\": 1,\n \"f\": 3,\n \"dimension\": 5\n }\n ],\n \"dyadic_squareclass_dimension\": 31,\n \"global_images\": [\n 138282647,\n 234509856,\n 589133376,\n 855643712,\n 956778304,\n 2034930808,\n 1538817824,\n 1094017554,\n 956681076,\n 7587164,\n 1915659578,\n 591991698,\n 192447492,\n 1249646682,\n 812907420,\n 1804105560,\n 537321472\n ],\n \"global_independence_rank\": 17,\n \"witnesses\": [\n {\n \"x\": -63,\n \"y_mod_2N\": \"244645487810342\",\n \"precision\": 48,\n \"valuations\": [\n 0,\n 0\n ],\n \"image\": 8388608\n },\n {\n \"x_mod_2N\": \"180243184940479\",\n \"y\": -31,\n \"precision\": 48,\n \"valuations\": [\n 2,\n 0\n ],\n \"error_valuations\": [\n 388,\n 49\n ],\n \"image\": 974967040\n },\n {\n \"x_mod_2N\": \"106439795108241\",\n \"y\": -29,\n \"precision\": 48,\n \"valuations\": [\n 2,\n 0\n ],\n \"error_valuations\": [\n 388,\n 49\n ],\n \"image\": 713142528\n }\n ],\n \"local_dimension\": 3,\n \"union_rank\": 18,\n \"intersection_dimension\": 2,\n \"rational_point_images\": [\n {\n \"label\": \"A\",\n \"x\": -1,\n \"y\": 1,\n \"image\": 974967040\n },\n {\n \"label\": \"B\",\n \"x\": 1,\n \"y\": -1,\n \"image\": 704753920\n }\n ],\n \"rational_point_image_rank\": 2,\n \"seconds\": 22.021,\n \"conclusion\": \"All geometry and dyadic ingredients are unconditional; the rank conclusion belongs to the separate strict-character argument.\"\n}\nALL EXACT GEOMETRY AND DYADIC ARITHMETIC ASSERTIONS PASSED; STRICT-CHARACTER RANK ARGUMENT IS SEPARATE\n" }, { "path": "anc/code/1.1.10/expected/1.1.10a_9111_descent_verified.json", "size_bytes": 2699, "sha256": "cc8fc49d0fa45228cd42cb3512293266c4fd53bdc1b670dfd94ab67971c0133f", "mode": 420, "encoding": "utf-8", "text": "{\n \"index\": 9111,\n \"finite_support\": [\n 2\n ],\n \"nodes\": [\n {\n \"p\": 31,\n \"x\": 22,\n \"y\": 14,\n \"hessian\": 25,\n \"critical_x\": \"48568\",\n \"critical_y\": \"790235\",\n \"value_mod_p4\": \"291834\",\n \"thickness\": 1\n },\n {\n \"p\": 433,\n \"x\": 6,\n \"y\": 421,\n \"hessian\": 72,\n \"critical_x\": \"22217259883\",\n \"critical_y\": \"8482749706\",\n \"value_mod_p4\": \"33122368774\",\n \"thickness\": 1\n },\n {\n \"p\": 2341,\n \"x\": 2236,\n \"y\": 823,\n \"hessian\": 1553,\n \"critical_x\": \"7186515996216\",\n \"critical_y\": \"20712730680954\",\n \"value_mod_p4\": \"24588261114959\",\n \"thickness\": 1\n }\n ],\n \"bitangent_degree\": 27,\n \"signature\": [\n 3,\n 12\n ],\n \"discriminant\": \"1033727079572205527447879379643917888211892763703115776\",\n \"code_dimension\": 6,\n \"code_weights\": [\n 12,\n 16\n ],\n \"certificate_scope\": \"Unconditional geometry and dyadic ingredients; the separate strict-character argument supplies the rank bound.\",\n \"known_independent_S_squareclasses\": 17,\n \"dyadic_fields\": [\n {\n \"e\": 8,\n \"f\": 3,\n \"dimension\": 26\n },\n {\n \"e\": 1,\n \"f\": 3,\n \"dimension\": 5\n }\n ],\n \"dyadic_squareclass_dimension\": 31,\n \"global_images\": [\n 138282647,\n 234509856,\n 589133376,\n 855643712,\n 956778304,\n 2034930808,\n 1538817824,\n 1094017554,\n 956681076,\n 7587164,\n 1915659578,\n 591991698,\n 192447492,\n 1249646682,\n 812907420,\n 1804105560,\n 537321472\n ],\n \"global_independence_rank\": 17,\n \"witnesses\": [\n {\n \"x\": -63,\n \"y_mod_2N\": \"244645487810342\",\n \"precision\": 48,\n \"valuations\": [\n 0,\n 0\n ],\n \"image\": 8388608\n },\n {\n \"x_mod_2N\": \"180243184940479\",\n \"y\": -31,\n \"precision\": 48,\n \"valuations\": [\n 2,\n 0\n ],\n \"error_valuations\": [\n 388,\n 49\n ],\n \"image\": 974967040\n },\n {\n \"x_mod_2N\": \"106439795108241\",\n \"y\": -29,\n \"precision\": 48,\n \"valuations\": [\n 2,\n 0\n ],\n \"error_valuations\": [\n 388,\n 49\n ],\n \"image\": 713142528\n }\n ],\n \"local_dimension\": 3,\n \"union_rank\": 18,\n \"intersection_dimension\": 2,\n \"rational_point_images\": [\n {\n \"label\": \"A\",\n \"x\": -1,\n \"y\": 1,\n \"image\": 974967040\n },\n {\n \"label\": \"B\",\n \"x\": 1,\n \"y\": -1,\n \"image\": 704753920\n }\n ],\n \"rational_point_image_rank\": 2,\n \"seconds\": 22.021,\n \"conclusion\": \"All geometry and dyadic ingredients are unconditional; the rank conclusion belongs to the separate strict-character argument.\"\n}\n" }, { "path": "anc/code/1.1.10/expected/1.1.10b_verify_9111_code_bound.json", "size_bytes": 1397, "sha256": "3d4511ae883813ce2e857223e26289e09132439fde672b276a3d70202c8f4651", "mode": 420, "encoding": "utf-8", "text": "{\n \"quadratic_form\": \"x0*x1+x2*x3+x4*x5+x4+x5\",\n \"isotropic_nonzero_vectors\": 27,\n \"number_of_subspaces\": 2825,\n \"subspaces_by_dimension\": [\n 1,\n 63,\n 651,\n 1395,\n 651,\n 63,\n 1\n ],\n \"trace_bounds\": {\n \"0\": {\n \"minimum\": 0,\n \"subspaces\": 157,\n \"dimensions\": [\n 0,\n 1,\n 2\n ]\n },\n \"1\": {\n \"minimum\": -1,\n \"subspaces\": 567,\n \"dimensions\": [\n 1,\n 2,\n 3\n ]\n },\n \"2\": {\n \"minimum\": -2,\n \"subspaces\": 216,\n \"dimensions\": [\n 2\n ]\n },\n \"3\": {\n \"minimum\": -3,\n \"subspaces\": 945,\n \"dimensions\": [\n 2,\n 3,\n 4\n ]\n },\n \"5\": {\n \"minimum\": -3,\n \"subspaces\": 486,\n \"dimensions\": [\n 3,\n 4\n ]\n },\n \"7\": {\n \"minimum\": -5,\n \"subspaces\": 270,\n \"dimensions\": [\n 4\n ]\n },\n \"9\": {\n \"minimum\": -3,\n \"subspaces\": 120,\n \"dimensions\": [\n 4\n ]\n },\n \"11\": {\n \"minimum\": -5,\n \"subspaces\": 27,\n \"dimensions\": [\n 5\n ]\n },\n \"15\": {\n \"minimum\": -5,\n \"subspaces\": 36,\n \"dimensions\": [\n 5\n ]\n },\n \"27\": {\n \"minimum\": -5,\n \"subspaces\": 1,\n \"dimensions\": [\n 6\n ]\n }\n },\n \"universal_lower_bound\": -5,\n \"all_checks_passed\": true\n}\n" }, { "path": "anc/code/1.1.10/expected/1.1.10c_recorded.txt", "size_bytes": 431, "sha256": "b68326a5af95c7f3c8890fa2748350376e71db5015061fa44e54f0c618d55fcb", "mode": 420, "encoding": "utf-8", "text": "# FROM THE ORIGINAL RECORDED OUTPUT (package file 9111_principals_final_audit.json), not run here\nall_passed: true\nbound: 15000000\nprevious_bound: 1000000\nprime_ideals_verified: 971856\nextension_prime_ideals: 893207\ntotal_strict_witnesses_extension: 695245\ntotal_direct_generators_extension: 197962\nexact_census_independently_matches: true\nlow_norm_stream_sha256: \"0c791ae6f3a8effe964a68a1ee492c855a4e961c26cba5ff4aac0debaa1a60b5\"\n" }, { "path": "anc/code/1.1.10/expected/1.1.10c_slice.txt", "size_bytes": 330, "sha256": "eddc0d2147f5b13a305dbf0dcd6e226eebd33f75025c87c4253e4e01e2423e67", "mode": 420, "encoding": "utf-8", "text": "# SHORT SLICE run here (not the proof run): python3 -I certify_9111_principals_fast.py --bound 20000 --workers 1 --output slice/princ_20000.json\n{\"block\": [\"primes\", 2, 20000], \"completed\": 1, \"total\": 1, \"ideals\": 2246, \"seconds\": 100.67}\nALL PRIME IDEALS THROUGH NORM 20000 PROVED PRINCIPAL: 2246 in 100.68219698599978 seconds.\n" }, { "path": "anc/code/1.1.10/expected/1.1.10d_recorded.txt", "size_bytes": 701, "sha256": "a13191562399b8fe02abfe3f64708455049f0f6ba3e165d87832210a035c9b68", "mode": 420, "encoding": "utf-8", "text": "# FROM THE ORIGINAL RECORDED OUTPUT (package file 9111_low_norm_census.json), not run here\nprincipal_cutoff: 15000000\nsupport: 100000000000\nsmall_exact_limit: 316227\npolynomial_discriminant_factorization: [[2, 390], [3, 54], [17, 2], [31, 6], [101, 2], [433, 6], [2341, 6], [2969, 2], [5227, 2], [924151, 2]]\nfield_discriminant: 1033727079572205527447879379643917888211892763703115776\nsignature: [3, 12]\ntotal_known_prime_ideals: 971856\ntotal_unknown_higher_degree_prime_ideals: 26759\nsha256_complete_known_norm_count_stream: \"0c791ae6f3a8effe964a68a1ee492c855a4e961c26cba5ff4aac0debaa1a60b5\"\nsmall_exact_known_norms: 14761 distinct norms, 27293 ideals\nlarge_known_norm_bins: 7715 bins, 944563 ideals\n" }, { "path": "anc/code/1.1.10/expected/1.1.10d_slice.txt", "size_bytes": 391, "sha256": "63d9a7b5103d15496ccc548164cb313bf8563461953fa8455549e8609ae0d636", "mode": 420, "encoding": "utf-8", "text": "# SHORT SLICE run here (not the proof run): python3 -I low_norm_census_9111.py --cutoff 20000 --support 100000000 --output slice/low.json --higher-output slice/high.json\nKNOWN_PRIME_IDEALS 2246 SMALL_EXACT_NORMS 637 LARGE_POSITIVE_BINS 475 HIGHER_UNKNOWN_NORMS 553 HIGHER_UNKNOWN_IDEALS 1245 SHA256 fdb5b45be91948b48156c815ba12927a3b0f1d33d4b0574dc267aa291a6aadb6 SECONDS 3.4358146760000636\n" }, { "path": "anc/code/1.1.10/expected/1.1.10e_recorded.txt", "size_bytes": 3111, "sha256": "38641d984d3b141739801b743222d4f734d11505467b6f0596b381e9e814d1ef", "mode": 420, "encoding": "utf-8", "text": "# FROM THE ORIGINAL RECORDED OUTPUT (package file 9111_strict_window_verified.json, census part), not run here\ncensus_prefix_exclusive: 765000000\ncensus_blocks: 30\ncensus_prime_count: 38465791\ncensus_root_counts: {\"0\": 17610407, \"1\": 12425717, \"2\": 3851583, \"3\": 2971635, \"5\": 1200580, \"7\": 200672, \"9\": 177984, \"15\": 26479, \"27\": 734}\ncensus_block_hashes: [[15000000, 40000000, \"85497fe5b76a60e27375b356089b4079df1cb3b6e74bd48bb3dd980eccb5e8e7\"], [40000000, 65000000, \"d620d9b4eb4f91a1cf5495c66fd30a9cb9726ece8bd3827c38b448eb9518ec90\"], [65000000, 90000000, \"c94a34f09df844c41bc0c52f1b3276f32f91ab2649c00ef877bcb7ad4a284fbc\"], [90000000, 115000000, \"945a847ca2555b988b3067dfe9a27e1ab873fc1550ea771795fccc10b8cfcd4e\"], [115000000, 140000000, \"359e924d7f58b697e787766fae30908c4193a2c27a8fd5599af3438faebb635d\"], [140000000, 165000000, \"89630f32cc7a312336c6e23539cc628e86379bedb1f883153ded902ce73f1bcd\"], [165000000, 190000000, \"66fb97c82f40d22e84311f27bc2a30e0b8e4ccafac12ade4be4cf64c8c22a7ed\"], [190000000, 215000000, \"d3f1be1d95f204c38d6b6b269c8eddb1be41bc6caaa403711eb2cf5e0855520d\"], [215000000, 240000000, \"788ff6f9348bffa18de7e181b670349e631eb1912af54d2582da67caa0a38a82\"], [240000000, 265000000, \"86c5402a4c114df8517e0839b6b8814df70447cd2ad80009a394017c513469ac\"], [265000000, 290000000, \"648e90ec6dd0f82136ab9e9cb583b04024bf8a5189ecc1db69aa8c40e5d49a18\"], [290000000, 315000000, \"46ec880806af320a0d505bea387c6dbe8b26272d30dff77212feaf5646ae9373\"], [315000000, 340000000, \"37fd6def7980568044616f9f070bcb70d681e167c6dc42c5b00ff87566c7e830\"], [340000000, 365000000, \"d875189547a8d65bd52e301c734c56d59a2f9fbf4cec2d9d1af2f418f4a95cea\"], [365000000, 390000000, \"2115e1dd9cfdf31aa83f6fa68b5dcdea54b06a2d39876833d8823a5193816fa8\"], [390000000, 415000000, \"333ece16d1d074ab02dea46d4c7e624e8bed489da981f727abb83a0a3f88fc33\"], [415000000, 440000000, \"3617aede916688a9eed85b4c898e2b39937072dc4b73aeff6debb410e60b7292\"], [440000000, 465000000, \"1eb82148aa56a3c3064c1a797f471a87df4c3627c06116ebcc8408ba11756b4b\"], [465000000, 490000000, \"a2ade4af3bd4fa1527527a3b48a9e2238c38187f0e3bb12e761dd73058a30109\"], [490000000, 515000000, \"72faf1dbbb31a67b9cfd54150517748783c4fbae2b10b7cf48f1bc21c97bda41\"], [515000000, 540000000, \"af7036445f95bdfdd1807c7afd10b0255f6e52a5a8aa77e1105aee4228d08173\"], [540000000, 565000000, \"5641d27b983b8974f19cbebb8ba625e7043e806fd8092d0866abb673aa7dfb98\"], [565000000, 590000000, \"001ba4deae88c3196f2595e02cc60b3db6eb411355741f2e1162384768ddaba3\"], [590000000, 615000000, \"85a08d1c91ac6f2a0981e74484bd08a0766a442cd1fffc63a2da15af3c84d607\"], [615000000, 640000000, \"dcbc9320b04205cab530e3077b205c84d9c55b105c5a6f33b77efcfd76556ecd\"], [640000000, 665000000, \"c54dcc020fc79d66c3e3c0c48171b975f0f2a2474855619b14d925f36137fafb\"], [665000000, 690000000, \"48328008793aeae63ea9c23aaa98e5db478392485833aeb14b79472ce23aedaa\"], [690000000, 715000000, \"93a10340be758dec8bf0ccde66554b041351cd9e047ce7b75ddcc4aa7def7e04\"], [715000000, 740000000, \"a2268283d5f180e5a3b038ac7a1983242b3dc8c8b2f8b189360c1fe783629da2\"], [740000000, 765000000, \"e23e080ae9c0854ed9d5b072164d806ca97f4c830e8915fb40f019224efda91a\"]]\n" }, { "path": "anc/code/1.1.10/expected/1.1.10e_slice.txt", "size_bytes": 566, "sha256": "e15d2d434d9628b327c8a2437f18dd83263ced49a71bb396565759adce9ec13a", "mode": 420, "encoding": "utf-8", "text": "# SHORT SLICE run here (not the proof run): python3 -I census_stream_9111.py --start 15000000 --stop 15200000 --block 100000 --workers 1 --output slice/blocks\nSTART 15000000 15200000 BLOCKS 2 REUSED 0 WORKERS 1\nBLOCK 15000000 15100000 PRIMES 6057 SECONDS 0.646 COMPLETE 1 PREFIX 15100000 TOTAL_PRIMES 6057 WALL 1.28\nBLOCK 15100000 15200000 PRIMES 6015 SECONDS 0.84 COMPLETE 2 PREFIX 15200000 TOTAL_PRIMES 12072 WALL 2.14\nCOMPLETE {\"start\": 15000000, \"stop\": 15200000, \"block_size\": 100000, \"completed_blocks\": 2, \"total_primes\": 12072, \"seconds\": 2.141880771999695}\n" }, { "path": "anc/code/1.1.10/expected/1.1.10f_recorded.txt", "size_bytes": 1476, "sha256": "2850d254509219c99d02705a5d3e8fbcfb8639ddf414b31812337ec7b98009b2", "mode": 420, "encoding": "utf-8", "text": "# FROM THE ORIGINAL RECORDED OUTPUT (package file 9111_strict_window_verified.json), not run here\nindex: 9111\ncriterion: \"strict Selmer characters only\"\nprecision_bits: 224\nsupport: 100000000000\nprincipal_cutoff: 15000000\nwindow_cells: 128\ninteger_window_denominator: \"8467956940673167963254\"\nprincipal_ideal_count_required: 971856\nprincipal_prime_power_terms: 37687\nprincipal_large_norm_bins: 7715\nlow_norm_stream_sha256: \"0c791ae6f3a8effe964a68a1ee492c855a4e961c26cba5ff4aac0debaa1a60b5\"\nhigher_degree_nonprincipal_ideal_count: 26759\ncensus_prefix_exclusive: 765000000\ncensus_blocks: 30\ncensus_prime_count: 38465791\ncensus_root_counts: {\"0\": 17610407, \"1\": 12425717, \"2\": 3851583, \"3\": 2971635, \"5\": 1200580, \"7\": 200672, \"9\": 177984, \"15\": 26479, \"27\": 734}\narchimedean_interval: \"[-1.42016127359146944673304513235403572096560836775720339840641917011 +/- 7.39e-66]\"\nprincipal_sum_interval: \"[1.53547434901545447756759175939565314162343181132715009293110200 +/- 5.81e-63]\"\nhigher_degree_lower_interval: \"[-8.78024795564985661011727457205616029109663741764380001482241119e-6 +/- 7.55e-69]\"\ncensus_lower_interval: \"[-0.0590216892970131645604142202693292251221170070172108615685082228 +/- 6.07e-65]\"\ndusart_tail_lower_interval: \"[-0.048905519324704961090943976056724836140610350634229767874813239256 +/- 2.99e-67]\"\nB_interval: \"[0.00737708655431125532657831344099130323480498928108842128134655 +/- 4.37e-63]\"\nrigorously_positive: true\nrigorously_greater_than_7_over_1000: true\n" }, { "path": "anc/code/1.1.10/expected/1.1.10g.txt", "size_bytes": 395, "sha256": "85b09db4401f3d926414188cf29f7d2c5060538907fdb6ab006739765ab8c64c", "mode": 420, "encoding": "utf-8", "text": "FIELD 3 COUNTS [4, 10, 28] JORDER 28\nFIELD 5 COUNTS [3, 23, 120] JORDER 64\nFIELD 11 COUNTS [18, 146, 1296] JORDER 2520\nFIELD 13 COUNTS [16, 216, 2128] JORDER 2912\nTWO_SATURATION [[1, 1], [0, 1]]\nMOD45_SURVIVOR [([3, 4], [(3, 13)])]\nMOD360_SURVIVOR [[228, 13]]\nSEVEN_SATURATION_AND_COEFFICIENTS [[1, 4, 2], [1, 3, 1]] [5, 1]\nPRIME13_ALL16_POINT_IMAGES_EXCLUDED\nALL FINITE SIEVE ASSERTIONS PASSED\n" }, { "path": "anc/code/1.1.10/expected/1.1.10g_9111_finite_sieve.json", "size_bytes": 2881, "sha256": "a31837a82bb3c7d12187a5c52c64b173a07746f4534870910a2c64bbc68bb316", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4+y^3+2x+y-1=0\",\n \"conditional_input\": \"rank(J(Q))<=2 and J(Q)[2]=0, plus the accompanying p3/p5 Chabauty congruences\",\n \"finite_fields\": [\n {\n \"prime\": 3,\n \"point_counts\": [\n 4,\n 10,\n 28\n ],\n \"jacobian_order\": 28,\n \"group_operations\": 41,\n \"checked_residual_divisor_hash\": \"26c4b20c75b9020835bbbec6e3d18a967aeac211bdfdd6c0b6d4550081db9cdb\"\n },\n {\n \"prime\": 5,\n \"point_counts\": [\n 3,\n 23,\n 120\n ],\n \"jacobian_order\": 64,\n \"group_operations\": 33,\n \"checked_residual_divisor_hash\": \"da4d27e564801c1007bd55a8e795aca056829fd51f1526244f4a9b9edc3e227e\"\n },\n {\n \"prime\": 11,\n \"point_counts\": [\n 18,\n 146,\n 1296\n ],\n \"jacobian_order\": 2520,\n \"group_operations\": 559,\n \"checked_residual_divisor_hash\": \"e4e9593664595ae2deab83b4f0173f34cb310a741a3173e801c4bb0258033359\"\n },\n {\n \"prime\": 13,\n \"point_counts\": [\n 16,\n 216,\n 2128\n ],\n \"jacobian_order\": 2912,\n \"group_operations\": 265,\n \"checked_residual_divisor_hash\": \"5c8393f5f9bf6b756c0fdd9262eadf1556f1bdb1fac2b11d3575f8080366bcbf\"\n }\n ],\n \"two_saturation_rows\": [\n [\n 1,\n 1\n ],\n [\n 0,\n 1\n ]\n ],\n \"p5_order_B\": 64,\n \"p5_relation_A_equals\": 17,\n \"mod45_candidates\": [\n [\n 33,\n 3\n ],\n [\n 3,\n 13\n ]\n ],\n \"mod45_survivor\": [\n [\n [\n 3,\n 4\n ],\n [\n [\n 3,\n 13\n ]\n ]\n ]\n ],\n \"mod360_candidates\": [\n [\n 3,\n 238\n ],\n [\n 48,\n 193\n ],\n [\n 93,\n 148\n ],\n [\n 138,\n 103\n ],\n [\n 183,\n 58\n ],\n [\n 228,\n 13\n ],\n [\n 273,\n 328\n ],\n [\n 318,\n 283\n ]\n ],\n \"mod360_survivor\": [\n [\n 228,\n 13\n ]\n ],\n \"seven_character_rows_A_B_Q\": [\n [\n 1,\n 4,\n 2\n ],\n [\n 1,\n 3,\n 1\n ]\n ],\n \"seven_saturation_determinant\": 6,\n \"coefficients_mod7\": [\n 5,\n 1\n ],\n \"prime13_target_pairs\": [\n [\n 68,\n 29\n ],\n [\n 12,\n 85\n ],\n [\n 180,\n 141\n ],\n [\n 124,\n 197\n ]\n ],\n \"prime13_affine_points\": [\n [\n 0,\n 6\n ],\n [\n 1,\n 12\n ],\n [\n 4,\n 2\n ],\n [\n 4,\n 9\n ],\n [\n 5,\n 4\n ],\n [\n 5,\n 11\n ],\n [\n 7,\n 3\n ],\n [\n 8,\n 2\n ],\n [\n 8,\n 9\n ],\n [\n 9,\n 0\n ],\n [\n 9,\n 5\n ],\n [\n 9,\n 8\n ],\n [\n 10,\n 3\n ],\n [\n 11,\n 1\n ],\n [\n 12,\n 1\n ]\n ],\n \"all_new_point_candidates_excluded\": true,\n \"seconds\": 33.16209294500004\n}\n" }, { "path": "anc/code/1.1.10/expected/1.1.10h.txt", "size_bytes": 409, "sha256": "2d3888bd0005263e860ae119d923d4a29190480e7ce8e95bf5b5b45a679d44b6", "mode": 420, "encoding": "utf-8", "text": "{\n \"logs3\": [\n [\n 0,\n 78,\n 51\n ],\n [\n 78,\n 15,\n 66\n ]\n ],\n \"logs5\": [\n [\n 80,\n 60,\n 120\n ],\n [\n 115,\n 120,\n 110\n ]\n ],\n \"pairs_mod45\": [\n [\n 33,\n 3\n ],\n [\n 3,\n 13\n ]\n ],\n \"output\": \"9111_chabauty.json\"\n}\nALL EXACT LOCAL ASSERTIONS PASSED; FINITE SIEVE AND RANK PREMISES REMAIN SEPARATE\n" }, { "path": "anc/code/1.1.10/expected/1.1.10h_9111_chabauty.json", "size_bytes": 8781, "sha256": "a870532f30613ed6991423e5491367e9710dc94c902030826f921d2f237120c3", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4+y^3+2x+y-1=0\",\n \"rank_premise\": \"rank J(Q)<=2\",\n \"rational_known_points\": [\n \"O\",\n [\n -1,\n 1\n ],\n [\n 1,\n -1\n ]\n ],\n \"RR\": [\n {\n \"n\": 3,\n \"m\": 1,\n \"pole_order\": 9,\n \"monomials\": [\n [\n 0,\n 0\n ],\n [\n 1,\n 0\n ],\n [\n 0,\n 1\n ],\n [\n 2,\n 0\n ],\n [\n 1,\n 1\n ],\n [\n 0,\n 2\n ],\n [\n 3,\n 0\n ]\n ],\n \"exact_kernel_dimension\": 1,\n \"exact_vanishing_verified\": true,\n \"coefficients_mod50625\": [\n 31896,\n 20424,\n 37236,\n 46298,\n 20458,\n 43514,\n 16812\n ],\n \"exact_pole_verified\": true\n },\n {\n \"n\": 2,\n \"m\": 10,\n \"pole_order\": 17,\n \"monomials\": [\n [\n 0,\n 0\n ],\n [\n 1,\n 0\n ],\n [\n 0,\n 1\n ],\n [\n 2,\n 0\n ],\n [\n 1,\n 1\n ],\n [\n 0,\n 2\n ],\n [\n 3,\n 0\n ],\n [\n 2,\n 1\n ],\n [\n 1,\n 2\n ],\n [\n 4,\n 0\n ],\n [\n 3,\n 1\n ],\n [\n 2,\n 2\n ],\n [\n 5,\n 0\n ],\n [\n 4,\n 1\n ],\n [\n 3,\n 2\n ]\n ],\n \"exact_kernel_dimension\": 1,\n \"exact_vanishing_verified\": true,\n \"coefficients_mod50625\": [\n 27723,\n 31784,\n 28641,\n 35834,\n 30915,\n 9854,\n 29498,\n 32790,\n 7984,\n 25553,\n 33955,\n 16531,\n 47571,\n 37538,\n 32757\n ],\n \"exact_pole_verified\": true\n },\n {\n \"n\": 3,\n \"m\": 13,\n \"pole_order\": 21,\n \"monomials\": [\n [\n 0,\n 0\n ],\n [\n 1,\n 0\n ],\n [\n 0,\n 1\n ],\n [\n 2,\n 0\n ],\n [\n 1,\n 1\n ],\n [\n 0,\n 2\n ],\n [\n 3,\n 0\n ],\n [\n 2,\n 1\n ],\n [\n 1,\n 2\n ],\n [\n 4,\n 0\n ],\n [\n 3,\n 1\n ],\n [\n 2,\n 2\n ],\n [\n 5,\n 0\n ],\n [\n 4,\n 1\n ],\n [\n 3,\n 2\n ],\n [\n 6,\n 0\n ],\n [\n 5,\n 1\n ],\n [\n 4,\n 2\n ],\n [\n 7,\n 0\n ]\n ],\n \"exact_kernel_dimension\": 1,\n \"exact_vanishing_verified\": true,\n \"coefficients_mod50625\": [\n 6761,\n 48758,\n 8644,\n 5521,\n 12082,\n 10475,\n 303,\n 25375,\n 226,\n 19659,\n 46473,\n 37117,\n 35585,\n 1663,\n 10645,\n 40130,\n 5301,\n 45443,\n 41415\n ],\n \"exact_pole_verified\": true\n },\n {\n \"n\": 7,\n \"m\": 9,\n \"pole_order\": 21,\n \"monomials\": [\n [\n 0,\n 0\n ],\n [\n 1,\n 0\n ],\n [\n 0,\n 1\n ],\n [\n 2,\n 0\n ],\n [\n 1,\n 1\n ],\n [\n 0,\n 2\n ],\n [\n 3,\n 0\n ],\n [\n 2,\n 1\n ],\n [\n 1,\n 2\n ],\n [\n 4,\n 0\n ],\n [\n 3,\n 1\n ],\n [\n 2,\n 2\n ],\n [\n 5,\n 0\n ],\n [\n 4,\n 1\n ],\n [\n 3,\n 2\n ],\n [\n 6,\n 0\n ],\n [\n 5,\n 1\n ],\n [\n 4,\n 2\n ],\n [\n 7,\n 0\n ]\n ],\n \"exact_kernel_dimension\": 1,\n \"exact_vanishing_verified\": true,\n \"coefficients_mod50625\": [\n 34482,\n 24684,\n 35069,\n 48786,\n 43037,\n 19679,\n 49291,\n 2574,\n 49783,\n 4797,\n 37631,\n 40587,\n 8133,\n 29293,\n 20020,\n 15384,\n 28350,\n 46553,\n 16275\n ],\n \"exact_pole_verified\": true\n }\n ],\n \"p3\": {\n \"prime\": 3,\n \"RR_traces\": [\n {\n \"H\": [\n [\n 45,\n 26,\n 19,\n 41\n ],\n [\n 51,\n 68,\n 51,\n 26\n ],\n [\n 36,\n 17,\n 46,\n 47\n ]\n ],\n \"roots_mod81\": [\n 45,\n 60,\n 36\n ],\n \"trace_mod81\": [\n 6,\n 69,\n 48\n ],\n \"log_relation\": [\n 6,\n 2\n ]\n },\n {\n \"H\": [\n [\n 42,\n 65,\n 4,\n 79\n ],\n [\n 45,\n 10,\n 26,\n 53\n ],\n [\n 48,\n 46,\n 57,\n 7\n ]\n ],\n \"roots_mod81\": [\n 42,\n 36,\n 6\n ],\n \"trace_mod81\": [\n 33,\n 12,\n 72\n ],\n \"log_relation\": [\n 5,\n 11\n ]\n }\n ],\n \"log_modulus\": 81,\n \"logs\": [\n [\n 0,\n 78,\n 51\n ],\n [\n 78,\n 15,\n 66\n ]\n ],\n \"annihilator_mod27\": [\n 26,\n 17,\n 1\n ],\n \"C_center_x_mod81\": 42,\n \"residual_quadratic_mod81\": [\n 69,\n 45,\n 1\n ],\n \"residual_power_sums_mod81\": [\n 2,\n 36,\n 24,\n 0,\n 45,\n 0,\n 54\n ],\n \"residual_trace_mod27\": [\n 9,\n 12,\n 9\n ],\n \"LC_mod27\": [\n 0,\n 24,\n 9\n ],\n \"B_differential_mod27\": [\n 24,\n 14,\n 12\n ],\n \"C_differential_mod27\": [\n 16,\n 9,\n 18\n ],\n \"extra_candidates\": [\n {\n \"disk\": \"B-extra\",\n \"u_over3_mod9\": 1,\n \"log_mod27\": [\n 18,\n 0,\n 18\n ],\n \"coefficient_pair_mod9\": [\n 6,\n 3\n ]\n },\n {\n \"disk\": \"C-extra\",\n \"u_over3_mod9\": 2,\n \"log_mod27\": [\n 15,\n 24,\n 12\n ],\n \"coefficient_pair_mod9\": [\n 3,\n 4\n ]\n }\n ]\n },\n \"p5\": {\n \"prime\": 5,\n \"RR_traces\": [\n {\n \"H_at_Q\": [\n [\n 100,\n 110\n ],\n [\n 79,\n 48\n ],\n [\n 34,\n 19\n ]\n ],\n \"H_at_O\": [\n 85,\n 68,\n 51\n ],\n \"root_at_Q\": [\n 110,\n 15\n ],\n \"root_at_O\": 105,\n \"trace_mod125\": [\n 15,\n 10,\n 85\n ],\n \"log_relation\": [\n 3,\n 13\n ]\n },\n {\n \"H_at_Q\": [\n [\n 35,\n 85\n ],\n [\n 68,\n 71\n ],\n [\n 23,\n 72\n ]\n ],\n \"H_at_O\": [\n 100,\n 53,\n 100\n ],\n \"root_at_Q\": [\n 50,\n 5\n ],\n \"root_at_O\": 50,\n \"trace_mod125\": [\n 30,\n 0,\n 45\n ],\n \"log_relation\": [\n 7,\n 9\n ]\n }\n ],\n \"log_modulus\": 125,\n \"logs\": [\n [\n 80,\n 60,\n 120\n ],\n [\n 115,\n 120,\n 110\n ]\n ],\n \"annihilator_mod25\": [\n 11,\n 0,\n 1\n ],\n \"B_differential_first_two_mod25\": [\n 15,\n 19\n ],\n \"extra_u_over5_mod5\": 1,\n \"extra_log_mod25\": [\n 10,\n 15,\n 15\n ],\n \"extra_coefficient_pair_mod5\": [\n 3,\n 3\n ]\n },\n \"new_point_coefficient_pairs_mod45\": [\n [\n 33,\n 3\n ],\n [\n 3,\n 13\n ]\n ],\n \"conclusion\": \"Any new rational point lies in the listed two coefficient classes; the separate finite sieve must exclude them.\"\n}\n" }, { "path": "anc/code/1.1.10/requirements.txt", "size_bytes": 49, "sha256": "09e4070b30d4599cde9e8873238071daf92e41384cdde7fd0e38be7a6a9c1af8", "mode": 420, "encoding": "utf-8", "text": "cypari2==2.2.4\nsympy==1.14.0\npython-flint==0.9.0\n" }, { "path": "anc/code/1.1.11/data/classgroup_params.json", "size_bytes": 1249, "sha256": "3deb11eabd90c6f910c60ca0de5262342382610d015bf68f41e499089db4f420", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4+y^3+xy-y-1=0\",\n \"section\": \"1.1.11\",\n \"field\": \"K = Q[x]/(f), f = slope polynomial of the 27 finite bitangents v = m u + b of C: u^4+v^3-(u+1)v-1 = 0\",\n \"polynomial\": \"x^27+48*x^22-480*x^19+144*x^17-17280*x^15+2304*x^14-832*x^12-34560*x^11+64512*x^10+18944*x^9-168448*x^7-49152*x^6-27648*x^5+8192*x^4-94208*x^3+1024*x^2-4096*x+4096\",\n \"field_discriminant\": \"1886391169645809642134939302441035242972848781787136\",\n \"signature\": [3, 12],\n \"principal_bound\": 10000000,\n \"support\": 500000000,\n \"window_heights\": [47975747, 59122611, 67067729, 73494663, 79246364, 84311954, 88669896, 92598800, 96045256, 99081825, 101821663, 104159152, 106034948, 107201723, 108203593, 109023831, 109553231, 109907071, 110161507, 110474724, 110756426, 110962300, 111105236, 111262391, 111373060, 111385055, 111421019, 111476880, 111504432, 111522610, 111535916, 111538387, 111538387, 111535916, 111522610, 111504432, 111476880, 111421019, 111385055, 111373060, 111262391, 111105236, 110962300, 110756426, 110474724, 110161507, 109907071, 109553231, 109023831, 108203593, 107201723, 106034948, 104159152, 101821663, 99081825, 96045256, 92598800, 88669896, 84311954, 79246364, 73494663, 67067729, 59122611, 47975747],\n \"precision_bits\": 224\n}\n" }, { "path": "anc/code/1.1.11/expected/1.1.11a.txt", "size_bytes": 1698, "sha256": "fd641e268c5d50b74457edec39b1ef821fd435905736a6de6ac43d0616274141", "mode": 420, "encoding": "utf-8", "text": "transport F(-u,v) == G(u,v): 1\nchart at O: t^4 - w^2*t + (-w^4 - w^3 + w); d/dw at (0,0) = 1 (unit in every characteristic)\nline at infinity: G_4 = u^4 (4-fold contact at O: rational hyperflex)\nG_u = 4*u^3 - v, G_v = -u + (3*v^2 - 1)\n48u^6-u-1 irreducible: 1\n48u^6-u-1 = 0 for u = X/48: 1\ncritical value == -(5u^4+8u^3+3)/3: 1; norm = [2, -10; 3, -9; 13839869, 1]\nRes(48u^6-u-1, 5u^4+8u^3+3) = [2, 6; 3, 1; 13839869, 1]; isprime(13839869): 1\nHessian G_uu G_vv - G_uv^2 = 288*u^5 - 1 at the critical point; its norm [-1, 1; 107, 1; 20959, 1]\n bad p = 13839869: prime of the critical algebra with residue degree 1, valuation of the critical value 1, Hessian valuation 0 -> 1 ordinary node(s) of thickness 1\nnode mod q0: u = 950455 is a root of 48u^6-u-1 mod q0: 1; v = 4u^3 mod q0 = 6126477\nintegral lift (u,v) = (950455, 4*950455^3): v_q0(G) = 1, G_u = 0, v_q0(G_v) = 1, v_q0(288u^5-1) = 0\np = 2: u-coordinates of singular points satisfy Mod(1, 2)*u + Mod(1, 2)\np = 3: u-coordinates of singular points satisfy Mod(2, 3)\np = 13839869: u-coordinates of singular points satisfy Mod(3357082, 13839869)*u + Mod(12585771, 13839869)\nRes_b factors (degree, multiplicity): [[27, 1]]\ndegree-27 factor == f: 1; f irreducible: 1; real roots: 3\nG(u, m u + b) == (u^2 + c1 u + c0)^2 with b in K: 1; c1^2 - 4 c0 != 0: 1\npoldisc(f) (trial division to 1e6): [2, 348; 707510442175097322670201202015664038859610858171112393, 2]\nisprime(266892835634814249016896736070677): 1\nnfcertify (empty = maximal order certified): []\nsignature [3, 12]; disc 1886391169645809642134939302441035242972848781787136 = [2, 28; 13839869, 6]; == 2^28 q0^6: 1\nprimes over 2 (e,f): [[2, 1], [10, 1], [5, 1], [5, 2]] (95 ms)\n" }, { "path": "anc/code/1.1.11/expected/1.1.11b_slice.txt", "size_bytes": 439, "sha256": "5642553958307e3288f6d541e62e86b8a9d6ddf6c6befc84cfd736beec492f92", "mode": 420, "encoding": "utf-8", "text": "# SHORT SLICE (rational primes p <= 10^6 of the full range [2, 5*10^8)):\n# python3 -I ../common/h31_classgroup/count_ideals.py data/classgroup_params.json --hi 1000000 --block 1000000 --out counts_slice.npz\nBLOCK 2 1000000 RATIONAL_PRIMES 78498 SECONDS 66.8\nRANGE 2 1000000 SUPPORT 500000000 RATIONAL_PRIMES 78498 DISTINCT_NORMS 43726 PRIME_IDEALS 80457 SHA256 beba08cb1d0487928d5aa4f8d39ed13408936df4463abb266a2a02e0e6e248b6 SECONDS 66.9\n" }, { "path": "anc/code/1.1.11/expected/1.1.11c_slice.txt", "size_bytes": 726, "sha256": "7c86e9f37fc6092acead2ce1557acacbf06f4fb1ea81c223c718316840b6e25d", "mode": 420, "encoding": "utf-8", "text": "# SHORT SLICE (prime ideals over p <= 3000 of the full range [2, 10^7]):\n# python3 -I ../common/h31_classgroup/witnesses.py data/classgroup_params.json --hi 3000 --out w_slice.jsonl.gz\nBLOCK 2 3000 IDEALS 801 SECONDS 50.1\nWITNESSES 801 STRICT 427 DIRECT 374 BY_DEGREE {\"1\": 382, \"2\": 358, \"3\": 39, \"4\": 10, \"5\": 5, \"6\": 2, \"9\": 3, \"12\": 2} BOUND 10000000 RANGE 2 3000 SECONDS 50.1\n# python3 -I ../common/h31_classgroup/check_witnesses.py data/classgroup_params.json w_slice.jsonl.gz --hi 3000\nALL 801 PRIME IDEALS OF NORM <= 10000000 OVER p IN [2, 3000] HAVE VALID WITNESSES; COFACTOR_ONE 375 COFACTOR_GT_ONE 426 BY_DEGREE {\"1\": 382, \"2\": 358, \"3\": 39, \"4\": 10, \"5\": 5, \"6\": 2, \"9\": 3, \"12\": 2} WITNESSES_USED 801 SECONDS 7.5\n" }, { "path": "anc/code/1.1.11/expected/1.1.11d_recorded.txt", "size_bytes": 513, "sha256": "55ece27a80ebcdd171b8f3c71fc16b8640252e9db94a322b8878b76ce106ccff", "mode": 420, "encoding": "utf-8", "text": "# NOT RUN HERE. Expected values from the source TeX of the solution (section L1024-008008) and from an\n# independent reviewer count made before this bundle (count of all prime ideals of norm < 5*10^8 and an exact\n# check of the 664,374 supplied witnesses); bound.py should reproduce:\nprime ideals of norm < 500000000: 26350721 (rational primes 26355867)\nprime ideals of norm <= 10000000: 664374, all with valid Lemma C witnesses\nB^-(f) > 0.004909377030906924806352480651615121010818342381972121324803617105278\n" }, { "path": "anc/code/1.1.11/expected/1.1.11e.txt", "size_bytes": 1116, "sha256": "2b3cd12806ec0ed8d765e51f37d3c1b0a02bc95292719347e88eddea5385d8b8", "mode": 420, "encoding": "utf-8", "text": "number of S-unit classes (torsion, units, S-units): 19\nprimes above 2 (e,f): [[2, 1], [10, 1], [5, 1], [5, 2]]\nall classes are S-units (support over 2): 1\nrank of the character matrix (independence): 19 of 19\nambient 19; after the norm condition: 17\np = 487: #affine points 485, local image dim 3 -> 10\np = 491: #affine points 482, local image dim 1 -> 7\np = 499: #affine points 498, local image dim 1 -> 5\np = 503: #affine points 558, local image dim 0 -> 4\norbit sizes over 2: [2, 10, 5, 10]\nunions of orbits of size 12 or 16 (orbit indices, size): List([[[1, 2], 12], [[1, 4], 12]]); the sum of the two has size 20 (not 12 or 16): dim J(Q_2)[2] <= 1, dim J(Q_2)/2J(Q_2) <= 4\ndim of local square-class target: 35 = sum over p|2 of (e f + 2)\nchart at O: -t^4 + w^2*t + (w^4 + w^3 - w)\nR3: w = a + c sqrt2 with residual valuation 64\ncertified square classes (ok, margin): (b) [1, 114] (c) [1, 116] (d) [1, 122]\nrank of the images of (a),(b),(c),(d): 4\nafter the dyadic condition: 1 => rank J(Q) <= 1\ndelta(P+ - O): nonzero 1; in the final space 1\ndelta(P- - O): nonzero 0; in the final space 1\ntime 16911 ms\n" }, { "path": "anc/code/1.1.11/expected/1.1.11f.txt", "size_bytes": 2054, "sha256": "73c4b88e190b810d4e4f0a49d86181db398bca20d8ef47a0acf3afcfc8e52af4", "mode": 420, "encoding": "utf-8", "text": "monomials: 22; maximal weight [24, 8, 0], next 23 => pole of order 24 at O\nRes_v(G,h) = c * [[u - 1, 21], [392713756448338560959291194202412722731004874877354244138910676476945681221451872989174368384132657*u^3 + 1836760026210029349693001836527157809532597864649334219494676933131140386176169731419110564144095119*u^2 + 290198481041986473550352799565030998644825065236959376712468762127105347154687461422922676544633807*u - 1083071685629783087322285336512789301682598277587921791603135136619994404790648786920049751255186831, 1]]\nU irreducible: 1; U(1) = 1436600578070571296880360493781812229225829527175726048742921235115197009761660278911157857817674752/392713756448338560959291194202412722731004874877354244138910676476945681221451872989174368384132657\ngcd(G(1,v), h(1,v)) = 1/732305065375610740707623870238993*v; G_v(P+) = -2\nresidual points: v as a function of u has degree 1 in v\nG(E) = 0: 1, h(E) = 0: 1; 21 + 3 = 24 zeros\nT(Z) = charpoly of t on E: 3-adic valuations [1, 2, 2, 0]; T mod 81 = Z^3 + 36*Z^2 + 9*Z + 60\ncharpoly of v on E: 3-adic valuations [-4, -1, 0, 0] (one Newton edge: v3(v) = -4/3)\nchart at O: t^4 - w^2*t + (-w^4 - w^3 + w)\nbranch w(t) = -t^4 + t^9 - t^12 + O(t^13); residual valuation 122\nchart formula agrees with (1,u,v)du/(u+1-3v^2) up to t^k, k = [122, 119, 118]\nomega/dt to degree 9: [-t^4 + 3*t^9 + O(t^10), t - 2*t^6 + 3*t^9 + O(t^10), 1 - 2*t^5 + 3*t^8 + O(t^10)]\nintegral coefficients (denominators): [1, 1, 1]\npower sums p1..p9 mod 81: [45, 63, 63, 54, 27, 27, 0, 0, 0]\nTr(I0,I1,I2) mod 27: [0, 18, 9]; L = -Tr/21 mod 9: [0, 3, 6]\nI(t) to degree 9 from omega: [-1/5*t^5, -2/7*t^7 + 1/2*t^2, 1/3*t^9 - 1/3*t^6 + t]\ntail: min over 10<=n<=26 of n/3 - v3(n) = 3; n >= 27: v3(n) <= log_3 n <= n/3 - 3\nwith 120 terms (tail valuation >= 40): v3(L) = [2, 1, 1], L/3 mod 9 = [6, 4, 2]\nL0/L1 = 0, L2/L1 = 2 (mod 3)\nP+: omega/ds = [1/2, 1/2, 0], eta0 constant = 2 mod 3\nP-: omega/ds = [-1/4, 1/4, 0], eta0 constant = 2 mod 3\nO : omega/ds = [0, 0, 1], eta2 constant = 1 mod 3\nC(F_3) affine points: [[1, 0], [2, 0]]\n" }, { "path": "anc/code/1.1.12/data/classgroup_params_F10.json", "size_bytes": 334, "sha256": "d8f6c356c8ca1b7d367c1455023f1b986a81780dfbb5b0d022b1930fff06a57c", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4-y^3+xy+x-1=0\",\n \"section\": \"1.1.12\",\n \"field\": \"F10 = Q[x]/(f_10), a factor of the bitangent slope polynomial\",\n \"polynomial\": \"x^10-24*x^6-48*x^2-16\",\n \"field_discriminant\": \"124424435272710400\",\n \"signature\": [2, 4],\n \"principal_bound\": 403,\n \"T\": \"6\",\n \"window_heights\": [1],\n \"precision_bits\": 224\n}\n" }, { "path": "anc/code/1.1.12/data/classgroup_params_F16.json", "size_bytes": 412, "sha256": "aaac9c266fd243e4c69abb7b21e08b0c7c2666410c886a4c1aa1c470fcb8c545", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4-y^3+xy+x-1=0\",\n \"section\": \"1.1.12\",\n \"field\": \"F16 = Q[x]/(f_16), a factor of the bitangent slope polynomial\",\n \"polynomial\": \"x^16+24*x^12+48*x^11+624*x^8-192*x^7+160*x^6-1152*x^4-2304*x^3+960*x^2-64*x+2304\",\n \"field_discriminant\": \"967590005808306246976185141760000\",\n \"signature\": [0, 8],\n \"principal_bound\": 200000,\n \"T\": \"16\",\n \"window_heights\": [1],\n \"precision_bits\": 224\n}\n" }, { "path": "anc/code/1.1.12/expected/1.1.12a.txt", "size_bytes": 1909, "sha256": "bdc7cb333724e7af42d3339894459ae9f64bc3599ed702f1f22ab0416cf1f2c0", "mode": 420, "encoding": "utf-8", "text": "transport: F(-u,v) == G: 1\nchart at O: t^4 + (-w^3 - w^2)*t + (-w^4 - w); d/dw at (0,0) = -1 (unit in every characteristic)\nline at infinity: w = 0 meets C where t^4 = 0 (4-fold contact at O: rational hyperflex)\nG_u = 4*u^3 + (-v - 1), G_v = -u - 3*v^2\ncritical algebra: -48*u^6 + 24*u^3 - u - 3 = Mat([48*u^6 - 24*u^3 + u + 3, 1])\nEuler identity: 12G - 3u G_u - 4v G_v = (-5*v - 9)*u - 12 => critical value = ((-5*v - 9)*u - 12)/12\nfactor 48*u^6 - 24*u^3 + u + 3: norm of the critical value [2, -16; 3, -5; 5, 1; 313, 1; 14087, 1]; norm of the Hessian [7, 1; 11, 1; 17, 1; 3847, 1]\n p = 5: prime of residue degree 1, valuation of the critical value 1, Hessian valuation 0 -> 1 ordinary node(s) of thickness 1\n p = 313: prime of residue degree 1, valuation of the critical value 1, Hessian valuation 0 -> 1 ordinary node(s) of thickness 1\n p = 14087: prime of residue degree 1, valuation of the critical value 1, Hessian valuation 0 -> 1 ordinary node(s) of thickness 1\np = 2: no singular point (smooth fibre)\np = 3: u-coordinates of singular points: Mat([Mod(1, 3)*u, 1])\np = 5: u-coordinates of singular points: Mat([Mod(1, 5)*u + Mod(3, 5), 1])\np = 7: no singular point (smooth fibre)\np = 11: no singular point (smooth fibre)\np = 13: no singular point (smooth fibre)\nRes_b factors (degree, multiplicity): [[1, 1], [10, 1], [16, 1]]\n rational slope factor: m\nf10, f16 are factors: 1 1; irreducible: 1 1; 27 = 1 + 10 + 16: 1\nF10: signature [2, 4], |disc| = [2, 8; 5, 2; 313, 2; 14087, 2]; nfcertify: []\n p = 2: (e,f) = [[5, 1], [5, 1]]\n p = 3: (e,f) = [[1, 1], [1, 1], [1, 4], [1, 4]]\n p = 13: (e,f) = [[1, 1], [1, 1], [1, 2], [1, 6]]\nF16: signature [0, 8], |disc| = [2, 12; 5, 4; 313, 4; 14087, 4]; nfcertify: []\n p = 2: (e,f) = [[5, 1], [1, 1], [5, 2]]\n p = 3: (e,f) = [[1, 1], [1, 1], [1, 2], [1, 4], [1, 4], [1, 4]]\n p = 13: (e,f) = [[1, 2], [1, 2], [1, 6], [1, 6]]\n" }, { "path": "anc/code/1.1.12/expected/1.1.12b.txt", "size_bytes": 638, "sha256": "a1b39e7291d67abeb6b0ad98856dee9e8c75edd1164584119e7dcdf9f223cd13", "mode": 420, "encoding": "utf-8", "text": "nonzero isotropic: 27\nnumber of transvection generators: 20\n|H| = 1920\norbit sizes on 27: [1, 10, 16]\ncode weights: [(0, 1), (12, 36), (16, 27)]\ndim code image: 6\ndim J2^H = 1 dim E^H = 3 dim (E/J2)^H = 2\n|image in S5| = 120\n|kernel N| = 16\nN elementary abelian: True\nevery nonzero element of N has normal closure N: True\n1.1.12 Frob3: F10 (1,1,4,4), F16 (1,1,2,4,4,4) pattern ((1, 1, 4, 4), (1, 1, 2, 4, 4, 4)) : #elements 240 projected S5 types Counter({(1, 4): 240}) fixed dims on V Counter({3: 240})\n#elements of order 5: 384\ndyadic decomposition groups with orbits (5,5),(1,5,10): (order, dim V^D) counts: Counter({(20, 2): 96})\n" }, { "path": "anc/code/1.1.12/expected/1.1.12c.txt", "size_bytes": 1378, "sha256": "852500e54c4e9ad6c590b320a824ed7efa72f6c0b804f22170f3102e4544eb94", "mode": 420, "encoding": "utf-8", "text": "# count\nBLOCK 2 403 RATIONAL_PRIMES 79 SECONDS 0.0\nRANGE 2 403 SUPPORT 404 RATIONAL_PRIMES 79 DISTINCT_NORMS 37 PRIME_IDEALS 94 SHA256 d08922b805d8d27031b3f991e802ec91a12f9016b349bc2deccb6e7d98e08daa SECONDS 0.1\n# wit\nBLOCK 2 403 IDEALS 94 SECONDS 0.3\nWITNESSES 94 STRICT 76 DIRECT 18 BY_DEGREE {\"1\": 88, \"2\": 4, \"4\": 2} BOUND 403 RANGE 2 403 SECONDS 0.3\n# check\nALL 94 PRIME IDEALS OF NORM <= 403 OVER p IN [2, 403] HAVE VALID WITNESSES; COFACTOR_ONE 20 COFACTOR_GT_ONE 74 BY_DEGREE {\"1\": 88, \"2\": 4, \"4\": 2} WITNESSES_USED 94 SECONDS 0.1\n# bound\ndegree = 10\nsignature = [2, 4]\nsupport_count_bound = 404\nprincipal_bound = 403\ncells = 1\nprecision_bits = 224\nexp_terms_dropped = true\nprime_ideals_norm_below_support = 94\nprime_ideals_proved_principal = 94\nprime_power_terms = 52\nprime_power_terms_with_multiplicity = 124\nknot_straddling_terms = 0\narchimedean = \"[-1.08545091497343097830520770288 +/- 3.12e-30]\"\nprime_sum = \"[1.16636871146334408823144010825 +/- 4.81e-30]\"\npositive_part = \"[1.166368711463344088231440 +/- 1.09e-25]\"\nnegative_part = \"0\"\nB = \"[0.08091779648991310992623240536831549010721 +/- 1.12e-42]\"\nB_rigorously_positive = true\nseconds = 0.0\nB_INTERVAL [0.08091779648991310992623240536831549010721 +/- 1.12e-42] POSITIVE True\n# bound.py without --no-exp-terms (for comparison)\nB_INTERVAL [0.08190909345539183093452403714599298958940 +/- 2.51e-42] POSITIVE True\n" }, { "path": "anc/code/1.1.12/expected/1.1.12d.txt", "size_bytes": 594, "sha256": "256af8c1b2ed10477b102656b7c66baad1edcb48050e8c99da286ab50a58d412", "mode": 420, "encoding": "utf-8", "text": "# python3 -I ../common/h31_classgroup/count_ideals.py data/classgroup_params_F16.json --support 8900001 --out counts_8900000.npz\nBLOCK 2 2000001 RATIONAL_PRIMES 148933 SECONDS 14.1\nBLOCK 2000002 4000001 RATIONAL_PRIMES 134213 SECONDS 25.8\nBLOCK 4000002 6000001 RATIONAL_PRIMES 129703 SECONDS 38.6\nBLOCK 6000002 8000001 RATIONAL_PRIMES 126928 SECONDS 51.8\nBLOCK 8000002 8900000 RATIONAL_PRIMES 56445 SECONDS 58.0\nRANGE 2 8900000 SUPPORT 8900001 RATIONAL_PRIMES 596222 DISTINCT_NORMS 293854 PRIME_IDEALS 596471 SHA256 642049e1cd464197624f02fd86a2bc6000cd8efef92bc927a63dd524d1e979b6 SECONDS 58.8\n" }, { "path": "anc/code/1.1.12/expected/1.1.12e.txt", "size_bytes": 2501, "sha256": "54916926196487e179478433968c89c67f384634923fe2de7345f0bf9a3b8882", "mode": 420, "encoding": "utf-8", "text": "# python3 -I ../common/h31_classgroup/count_ideals.py data/classgroup_params_F16.json --out F16_counts.npz\nBLOCK 2 2000001 RATIONAL_PRIMES 148933 SECONDS 15.1\nBLOCK 2000002 4000001 RATIONAL_PRIMES 134213 SECONDS 29.3\nBLOCK 4000002 6000001 RATIONAL_PRIMES 129703 SECONDS 41.8\nBLOCK 6000002 8000001 RATIONAL_PRIMES 126928 SECONDS 53.3\nBLOCK 8000002 8886110 RATIONAL_PRIMES 55564 SECONDS 58.7\nRANGE 2 8886110 SUPPORT 8886111 RATIONAL_PRIMES 595341 DISTINCT_NORMS 293442 PRIME_IDEALS 595650 SHA256 899c16b0b7ea35e879c676d4e8c20be72164d0a9eb171268a2fae1c5f450cb3f SECONDS 59.6\n# python3 -I -X int_max_str_digits=0 ../common/h31_classgroup/witnesses.py data/classgroup_params_F16.json --out F16_w.jsonl.gz\nBLOCK 2 20001 IDEALS 2370 SECONDS 243.2\nBLOCK 20002 40001 IDEALS 4403 SECONDS 374.1\nBLOCK 40002 60001 IDEALS 6315 SECONDS 437.5\nBLOCK 60002 80001 IDEALS 8002 SECONDS 496.7\nBLOCK 80002 100001 IDEALS 9766 SECONDS 523.8\nBLOCK 100002 120001 IDEALS 11482 SECONDS 653.6\nBLOCK 120002 140001 IDEALS 13243 SECONDS 761.0\nBLOCK 140002 160001 IDEALS 14882 SECONDS 832.3\nBLOCK 160002 180001 IDEALS 16484 SECONDS 888.6\nBLOCK 180002 200000 IDEALS 18074 SECONDS 931.4\nWITNESSES 18074 STRICT 15284 DIRECT 2790 BY_DEGREE {\"1\": 17969, \"2\": 89, \"3\": 4, \"4\": 9, \"5\": 3} BOUND 200000 RANGE 2 200000 SECONDS 931.4\n# python3 -I -X int_max_str_digits=0 ../common/h31_classgroup/check_witnesses.py data/classgroup_params_F16.json F16_w.jsonl.gz\nALL 18074 PRIME IDEALS OF NORM <= 200000 OVER p IN [2, 200000] HAVE VALID WITNESSES; COFACTOR_ONE 2794 COFACTOR_GT_ONE 15280 BY_DEGREE {\"1\": 17969, \"2\": 89, \"3\": 4, \"4\": 9, \"5\": 3} WITNESSES_USED 18074 SECONDS 55.5\n# python3 -I ../common/h31_classgroup/bound.py data/classgroup_params_F16.json F16_counts.npz --no-exp-terms\ndegree = 16\nsignature = [0, 8]\nsupport_count_bound = 8886111\nprincipal_bound = 200000\ncells = 1\nprecision_bits = 224\nexp_terms_dropped = true\nprime_ideals_norm_below_support = 595650\nprime_ideals_proved_principal = 18074\nprime_power_terms = 293746\nprime_power_terms_with_multiplicity = 596235\nknot_straddling_terms = 0\narchimedean = \"[-1.79299523437479666682685902483 +/- 2.49e-30]\"\nprime_sum = \"[1.86756739281935837553596822535 +/- 3.06e-30]\"\npositive_part = \"[1.979480449497134945675905 +/- 2.20e-25]\"\nnegative_part = \"[-0.1119130566777765701399366 +/- 4.53e-26]\"\nB = \"[0.07457215844456170870910920052554107746597 +/- 1.26e-42]\"\nB_rigorously_positive = true\nseconds = 4.4\nB_INTERVAL [0.07457215844456170870910920052554107746597 +/- 1.26e-42] POSITIVE True\n" }, { "path": "anc/code/1.1.12/expected/1.1.12f.txt", "size_bytes": 2447, "sha256": "64d07c18d09e5e51081b39fe3df2ac9248f8f00dd68dd717a011c59fd7ffa63a", "mode": 420, "encoding": "utf-8", "text": " note: hyperflex bitangent (coincident contacts) for component m\nrational bitangent: slope 0, intercept -1\nS-unit classes per component (Q, F10, F16): [3, 12, 17]; total 32\nall classes are S-units: 1\nrank of the character matrix (independence): 32 of 32\nambient 32; after the norm condition: 29\np = 487: #affine points 495, local image dim 1 -> 26\np = 491: #affine points 502, local image dim 3 -> 19\np = 499: #affine points 481, local image dim 3 -> 17\np = 503: #affine points 496, local image dim 3 -> 12\np = 509: #affine points 501, local image dim 1 -> 12\np = 521: #affine points 538, local image dim 2 -> 11\np = 523: #affine points 524, local image dim 2 -> 9\np = 541: #affine points 566, local image dim 4 -> 8\ndelta at P, raw Q-component: 0 (contact) -> replaced by 1/3\nchart at O: -t^4 + (w^3 + w^2)*t + (w^4 + w)\n2-adic points: v(u=2) = 1 + 2 + 2^2 + 2^3 + 2^6 + 2^7 + 2^8 + 2^9 + 2^11 + 2^12 + 2^14 + 2^15 + 2^17 + 2^19 + 2^20 + 2^22 + 2^24 + 2^25 + 2^26 + 2^29 + 2^30 + 2^32 + 2^35 + 2^41 + 2^42 + 2^43 + 2^45 + 2^46 + 2^48 + 2^49 + 2^53 + 2^54 + 2^55 + 2^56 + 2^60 + 2^61 + 2^62 + 2^63 + O(2^64); v(u=4) = 1 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^9 + 2^10 + 2^12 + 2^13 + 2^15 + 2^17 + 2^21 + 2^23 + 2^24 + 2^25 + 2^26 + 2^30 + 2^32 + 2^35 + 2^38 + 2^39 + 2^45 + 2^47 + 2^53 + 2^54 + 2^56 + 2^58 + 2^62 + O(2^64); w(t=2) = 2^4 + 2^9 + 2^10 + 2^11 + 2^12 + 2^14 + 2^16 + 2^17 + 2^19 + 2^21 + 2^22 + 2^23 + 2^25 + 2^32 + 2^34 + 2^35 + 2^36 + 2^37 + 2^46 + 2^47 + 2^48 + 2^51 + 2^52 + 2^53 + 2^55 + 2^57 + 2^58 + 2^59 + 2^62 + O(2^64); u = sqrt2: residual valuation 64\ncertified (ok, margin): [[1, 58], [1, 54], [1, 58], [1, 55]]\n3-adic points: v(u=1) = 1 + 2*3 + 2*3^3 + 2*3^4 + 2*3^5 + 3^6 + 3^7 + 3^10 + 3^11 + 3^12 + 3^17 + 2*3^18 + 2*3^20 + 3^21 + 2*3^22 + 2*3^24 + 3^25 + 3^26 + 3^27 + 3^28 + 2*3^31 + 2*3^34 + 2*3^36 + 2*3^37 + 2*3^38 + 3^39 + O(3^40); v(u=3) = 2 + 2*3 + 2*3^2 + 3^3 + 3^4 + 3^5 + 3^7 + 2*3^8 + 2*3^10 + 3^11 + 3^12 + 3^13 + 3^14 + 3^15 + 3^17 + 3^19 + 2*3^21 + 2*3^22 + 2*3^23 + 2*3^25 + 2*3^26 + 2*3^28 + 2*3^29 + 2*3^30 + 3^33 + 3^38 + 3^39 + O(3^40)\ncertified (ok, margin): [[1, 36], [1, 35]]\nrank of the five 2-adic images: 5 (= dim J(Q_2)/2J(Q_2) = 2 + 3 from 1.1.12b)\nrank of the three 3-adic images: 3 (= dim J(Q_3)[2] = 3 from 1.1.12b)\nafter the 2-adic condition: 3\nafter the 3-adic condition: 1 => rank J(Q) + dim J(Q)[2] <= 1\ndelta(P - O): nonzero 1; in the final space 1\ntime 6920 ms\n" }, { "path": "anc/code/1.1.12/expected/1.1.12g.txt", "size_bytes": 251, "sha256": "0e589c6999754dfcab7b537c912c56fdc01e246065dad8bca8691c65590e219c", "mode": 420, "encoding": "utf-8", "text": "#C(F_2), #C(F_4), #C(F_8) = [2, 4, 8]\nnumerator of Z(C/F_2, T) = 8*T^6 - 4*T^5 - T + 1; #J(F_2) = L(1) = 4\nG(u,-1) = u^4 (4-fold contact of v = -1 at P); G_v(P) = -3\nv + 1 = 1/3*u^4 - 1/9*u^5 + 1/27*u^6 - 1/81*u^7 + O(u^8) at P (local parameter u)\n" }, { "path": "anc/code/1.1.13/data/classgroup_params_K10.json", "size_bytes": 376, "sha256": "966124ab0d2922bd29911d57ec5ab737c14c705821dfaf5abce39234d316b0ce", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4+y^3+xy+y-1=0\",\n \"section\": \"1.1.13\",\n \"field\": \"K10 = Q[x]/(f_10), a factor of the bitangent slope polynomial\",\n \"polynomial\": \"x^10+10*x^9+48*x^8+144*x^7+288*x^6+384*x^5+344*x^4+224*x^3+96*x^2-16\",\n \"field_discriminant\": \"9035266480384\",\n \"signature\": [2, 4],\n \"principal_bound\": 148,\n \"T\": \"5\",\n \"window_heights\": [1],\n \"precision_bits\": 224\n}\n" }, { "path": "anc/code/1.1.13/data/classgroup_params_K16.json", "size_bytes": 456, "sha256": "a83e20564cb2e5a00e7e0e16d10f61584aed8b4df390dc9da9614c1fff42076d", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4+y^3+xy+y-1=0\",\n \"section\": \"1.1.13\",\n \"field\": \"K16 = Q[x]/(f_16), a factor of the bitangent slope polynomial\",\n \"polynomial\": \"x^16-8*x^15+36*x^14-112*x^13+272*x^12-528*x^11+872*x^10-1264*x^9+1920*x^8-3008*x^7+4256*x^6-4896*x^5+4224*x^4-2560*x^3+768*x^2-64*x+128\",\n \"field_discriminant\": \"5102252523221917191049216\",\n \"signature\": [0, 8],\n \"principal_bound\": 2980,\n \"T\": \"8\",\n \"window_heights\": [1],\n \"precision_bits\": 224\n}\n" }, { "path": "anc/code/1.1.13/expected/1.1.13a.txt", "size_bytes": 2173, "sha256": "5e72d4995d916636a7fb7db1ec914e4659c20fd598c9864f352908d0fbe66aa2", "mode": 420, "encoding": "utf-8", "text": "transport: F(x,-v) == G: 1\nchart at O: t^4 - w^2*t + (-w^4 - w^3 - w); d/dw at (0,0) = -1 (unit in every characteristic)\nline at infinity: w = 0 meets C where t^4 = 0 (4-fold contact at O: rational hyperflex)\nG_x = 4*x^3 - v, G_v = -x + (-3*v^2 - 1)\ncritical algebra: -48*x^6 - x - 1 = Mat([48*x^6 + x + 1, 1])\nEuler identity: 12G - 3x G_x - 4v G_v = -5*v*x + (-8*v - 12) => critical value = (-5*v*x + (-8*v - 12))/12\nfactor 48*x^6 + x + 1: norm of the critical value [2, -10; 3, -9; 13, 2; 17, 1; 43, 1; 257, 1]; norm of the Hessian Mat([2236363, 1])\n p = 13: prime of residue degree 1, valuation of the critical value 2, Hessian valuation 0 -> 1 ordinary node(s) of thickness 2\n p = 17: prime of residue degree 1, valuation of the critical value 1, Hessian valuation 0 -> 1 ordinary node(s) of thickness 1\n p = 43: prime of residue degree 1, valuation of the critical value 1, Hessian valuation 0 -> 1 ordinary node(s) of thickness 1\n p = 257: prime of residue degree 1, valuation of the critical value 1, Hessian valuation 0 -> 1 ordinary node(s) of thickness 1\np = 2: x-coordinates of singular points: Mat([Mod(1, 2)*x + Mod(1, 2), 1])\np = 3: no singular point (smooth fibre)\np = 5: no singular point (smooth fibre)\np = 7: no singular point (smooth fibre)\np = 11: no singular point (smooth fibre)\np = 13: x-coordinates of singular points: Mat([Mod(1, 13)*x + Mod(10, 13), 1])\np = 13: singular point (x,v) = [3, 4] mod 13; v_13(G) at the 13-adic critical point = 2, Hessian mod 13 = 7 -> ordinary node of thickness 2\nRes_b factors (degree, multiplicity): [[1, 1], [10, 1], [16, 1]]\n rational slope factor: m - 2\nf10, f16 are factors: 1 1; irreducible: 1 1; 27 = 1 + 10 + 16: 1\nK10: signature [2, 4], |disc| = [2, 8; 17, 2; 43, 2; 257, 2]; nfcertify: []\n p = 2: (e,f) = [[5, 1], [5, 1]]\n p = 3: (e,f) = [[1, 2], [1, 8]]\n p = 5: (e,f) = [[1, 4], [1, 6]]\n p = 13: (e,f) = [[1, 5], [1, 5]]\nK16: signature [0, 8], |disc| = [2, 12; 17, 4; 43, 4; 257, 4]; nfcertify: []\n p = 2: (e,f) = [[5, 1], [1, 1], [5, 2]]\n p = 3: (e,f) = [[1, 8], [1, 8]]\n p = 5: (e,f) = [[1, 4], [1, 12]]\n p = 13: (e,f) = [[1, 1], [1, 5], [1, 5], [1, 5]]\n" }, { "path": "anc/code/1.1.13/expected/1.1.13b.txt", "size_bytes": 764, "sha256": "3e3b507c60bdaf1a304a24f716a5102bd731984573772d55a32a8dbd928d8b7a", "mode": 420, "encoding": "utf-8", "text": "nonzero isotropic: 27\nnumber of transvection generators: 20\n|H| = 1920\norbit sizes on 27: [1, 10, 16]\ncode weights: [(0, 1), (12, 36), (16, 27)]\ndim code image: 6\ndim J2^H = 1 dim E^H = 3 dim (E/J2)^H = 2\n|image in S5| = 120\n|kernel N| = 16\nN elementary abelian: True\nevery nonzero element of N has normal closure N: True\n1.1.13 Frob3: K10 (2,8), K16 (8,8) pattern ((2, 8), (8, 8)) : #elements 240 projected S5 types Counter({(1, 4): 240}) fixed dims on V Counter({1: 240})\n1.1.13 Frob5: K10 (4,6), K16 (4,12) pattern ((4, 6), (4, 12)) : #elements 160 projected S5 types Counter({(2, 3): 160}) fixed dims on V Counter({1: 160})\n#elements of order 5: 384\ndyadic decomposition groups with orbits (5,5),(5,1,10): (order, dim V^D) counts: Counter({(20, 2): 96})\n" }, { "path": "anc/code/1.1.13/expected/1.1.13c.txt", "size_bytes": 2794, "sha256": "3a63810272949e7aab78d7af6dbb2a1cacc0c3c673d2b6f6d04362cf0e9ff741", "mode": 420, "encoding": "utf-8", "text": "######## K10\n# count\nBLOCK 2 148 RATIONAL_PRIMES 34 SECONDS 0.1\nRANGE 2 148 SUPPORT 149 RATIONAL_PRIMES 34 DISTINCT_NORMS 16 PRIME_IDEALS 32 SHA256 ec03ed8cbd14c4b36820fe50b4bce93175607a83d0082a38a572cd4b1128d04b SECONDS 0.1\n# wit\nBLOCK 2 148 IDEALS 32 SECONDS 0.1\nWITNESSES 32 STRICT 28 DIRECT 4 BY_DEGREE {\"1\": 30, \"2\": 2} BOUND 148 RANGE 2 148 SECONDS 0.1\n# check\nALL 32 PRIME IDEALS OF NORM <= 148 OVER p IN [2, 148] HAVE VALID WITNESSES; COFACTOR_ONE 15 COFACTOR_GT_ONE 17 BY_DEGREE {\"1\": 30, \"2\": 2} WITNESSES_USED 32 SECONDS 0.0\n# bound\ndegree = 10\nsignature = [2, 4]\nsupport_count_bound = 149\nprincipal_bound = 148\ncells = 1\nprecision_bits = 224\nexp_terms_dropped = true\nprime_ideals_norm_below_support = 32\nprime_ideals_proved_principal = 32\nprime_power_terms = 23\nprime_power_terms_with_multiplicity = 45\nknot_straddling_terms = 0\narchimedean = \"[-0.223907736005395810059319421721 +/- 2.35e-31]\"\nprime_sum = \"[0.567575900038757712775180685073 +/- 1.61e-31]\"\npositive_part = \"[0.5675759000387577127751807 +/- 1.50e-26]\"\nnegative_part = \"0\"\nB = \"[0.3436681640333619027158612633519258453768 +/- 4.00e-42]\"\nB_rigorously_positive = true\nseconds = 0.0\nB_INTERVAL [0.3436681640333619027158612633519258453768 +/- 4.00e-42] POSITIVE True\n# bound.py without --no-exp-terms (for comparison)\nB_INTERVAL [0.3469005843080064362628789339561689387914 +/- 3.11e-41] POSITIVE True\n######## K16\n# count\nBLOCK 2 2980 RATIONAL_PRIMES 429 SECONDS 0.2\nRANGE 2 2980 SUPPORT 2981 RATIONAL_PRIMES 429 DISTINCT_NORMS 228 PRIME_IDEALS 465 SHA256 747e7cb8787503d8b391250674b5117f351b73ff44de040b53e2e62548db7cd7 SECONDS 0.3\n# wit\nBLOCK 2 2980 IDEALS 465 SECONDS 1.3\nWITNESSES 465 STRICT 446 DIRECT 19 BY_DEGREE {\"1\": 447, \"2\": 16, \"4\": 2} BOUND 2980 RANGE 2 2980 SECONDS 1.3\n# check\nALL 465 PRIME IDEALS OF NORM <= 2980 OVER p IN [2, 2980] HAVE VALID WITNESSES; COFACTOR_ONE 33 COFACTOR_GT_ONE 432 BY_DEGREE {\"1\": 447, \"2\": 16, \"4\": 2} WITNESSES_USED 465 SECONDS 0.6\n# bound\ndegree = 16\nsignature = [0, 8]\nsupport_count_bound = 2981\nprincipal_bound = 2980\ncells = 1\nprecision_bits = 224\nexp_terms_dropped = true\nprime_ideals_norm_below_support = 465\nprime_ideals_proved_principal = 465\nprime_power_terms = 250\nprime_power_terms_with_multiplicity = 506\nknot_straddling_terms = 0\narchimedean = \"[-0.755917997244427360835641111983 +/- 5.14e-33]\"\nprime_sum = \"[0.778738200708698582427327478897 +/- 1.33e-32]\"\npositive_part = \"[0.7787382007086985824273275 +/- 2.12e-26]\"\nnegative_part = \"0\"\nB = \"[0.02282020346427122159168636691400815448944 +/- 4.93e-42]\"\nB_rigorously_positive = true\nseconds = 0.0\nB_INTERVAL [0.02282020346427122159168636691400815448944 +/- 4.93e-42] POSITIVE True\n# bound.py without --no-exp-terms (for comparison)\nB_INTERVAL [0.02290406912229549807839723078527964716721 +/- 3.43e-42] POSITIVE True\n" }, { "path": "anc/code/1.1.13/expected/1.1.13d.txt", "size_bytes": 1972, "sha256": "7385bf7939639c3af4d170a70d5b44fda679b2418a70cc65a498308294fc651a", "mode": 420, "encoding": "utf-8", "text": "rational bitangent: slope 2, intercept -2\nidentity (v-2x+2)((v+x-1)^2+3x^2-5x+4) - ((x-1)(x-3))^2 = -x^4 + y*x + (y^3 + y + 1) = F * 1\nS-unit classes per component (Q, K10, K16): [3, 10, 15]; total 28\nall classes are S-units: 1\nrank of the character matrix (independence): 28 of 28\nambient 28; after the norm condition: 25\np = 487: #affine points 466, local image dim 2 -> 21\np = 491: #affine points 505, local image dim 1 -> 18\np = 499: #affine points 534, local image dim 2 -> 15\np = 503: #affine points 508, local image dim 2 -> 12\np = 509: #affine points 522, local image dim 1 -> 12\np = 521: #affine points 560, local image dim 1 -> 11\np = 523: #affine points 525, local image dim 3 -> 9\np = 541: #affine points 539, local image dim 2 -> 9\np = 547: #affine points 580, local image dim 2 -> 8\np = 557: #affine points 557, local image dim 1 -> 8\np = 563: #affine points 574, local image dim 2 -> 8\np = 569: #affine points 568, local image dim 1 -> 8\np = 571: #affine points 528, local image dim 2 -> 8\np = 577: #affine points 562, local image dim 2 -> 8\np = 587: #affine points 591, local image dim 1 -> 8\np = 593: #affine points 642, local image dim 3 -> 7\ndelta at P1, raw Q-component: 0 (contact) -> 1/((v+x-1)^2+3x^2-5x+4) = 1/2\nchart at O: -t^4 + w^2*t + (w^4 + w^3 + w)\nline v = -5x + -7: factorisation of G(x, line) mod 2: [x + 1, 2; x^2 + x + 1, 1] (two coprime quadratics, Hensel); irreducible factors over Q_2 of degrees [1, 1, 2]\nline v = -5x + -5: factorisation of G(x, line) mod 2: [x + 1, 2; x^2 + x + 1, 1] (two coprime quadratics, Hensel); irreducible factors over Q_2 of degrees [1, 1, 2]\ncertified: (b) [1, 57] (c) [1, 58] (d) 1 (e) 1\nrank of the five 2-adic images: 5 (= dim J(Q_2)/2J(Q_2) = 2 + 3 from 1.1.13b)\nafter the 2-adic condition: 2 => rank J(Q) <= 2 - dim J(Q)[2] = 1\ndelta(P- - O): nonzero 0; in the final space 1\ndelta(P1 - O): nonzero 1; in the final space 1\ndelta(P1 + P3 - 2O): nonzero 1; in the final space 1\ntime 11840 ms\n" }, { "path": "anc/code/1.1.13/expected/1.1.13e.txt", "size_bytes": 1536, "sha256": "0a233d9d465dc5ee9f54cca648c311145b416ed9ee8d30180fe506f9f8d55bbb", "mode": 420, "encoding": "utf-8", "text": "== h1: 23 monomials, rank of the conditions 22 (kernel of dimension 1)\n two largest weights [25, 24] => pole of order exactly 25 at O\n order at P- = 0, at P1 = 22\n Res_v(G,h) = c * [\"(x - 1)^22\"] * U, deg U = 3; U irreducible over Q(sqrt-2): 1; U(1) != 0: 1, U(-1) != 0: 1\n residual points: F(E) = 0: 1, h(E) = 0: 1\n zeros counted: 22 + 3 = 25 = pole order\n== h+: 21 monomials, rank of the conditions 20 (kernel of dimension 1)\n two largest weights [23, 22] => pole of order exactly 23 at O\n order at P- = 1, at P1 = 18, h(1, a) = Mod(0, a^2 + 2), h(1, -a) = Mod(-1587345426655693426374695423005733037323035636214960/56641546500046462937972694982188585101162224751029883*a + 5544977910332755738563426952902581718360067695312640/56641546500046462937972694982188585101162224751029883, a^2 + 2)\n Res_v(G,h) = c * [\"(x + 1)^1\", \"(x - 1)^19\"] * U, deg U = 3; U irreducible over Q(sqrt-2): 1; U(1) != 0: 1, U(-1) != 0: 1\n residual points: F(E) = 0: 1, h(E) = 0: 1\n zeros counted: 1 + 18 + 1 + 3 = 23 = pole order\n== h-: 9 monomials, rank of the conditions 8 (kernel of dimension 1)\n two largest weights [11, 10] => pole of order exactly 11 at O\n order at P- = 2, at P1 = 5, h(1, a) = Mod(0, a^2 + 2), h(1, -a) = Mod(-464/283*a - 64/283, a^2 + 2)\n Res_v(G,h) = c * [\"(x + 1)^2\", \"(x - 1)^6\"] * U, deg U = 3; U irreducible over Q(sqrt-2): 1; U(1) != 0: 1, U(-1) != 0: 1\n residual points: F(E) = 0: 1, h(E) = 0: 1\n zeros counted: 2 + 5 + 1 + 3 = 11 = pole order\nh1 coefficients rational: 1\n" }, { "path": "anc/code/1.1.13/expected/1.1.13f.txt", "size_bytes": 1109, "sha256": "bda25a7a3f370b56ddd83c78bedbd9e468cbbe29031c9140d69e075ba28e943e", "mode": 420, "encoding": "utf-8", "text": "E1: x-coordinates mod 3: Mat([x + 2, 3]); v3 of the charpoly of x-1: [3, 2, 1, 0]\nE1: 3v^2+x+1 is a unit: v3(norm) = 0\nE+ (a -> alpha+ = 1 mod 3): charpoly of x mod 3 = x^3\nE- (a -> alpha- = 2 mod 3): v3 of the charpoly coefficients of v: [1, 1, 1, 0] (3-Eisenstein: v3(v) = 1/3)\nE- : v3 of the charpoly coefficients of x+1: [3, 3, 2, 0]\nlog(E1 - 3O) mod 81 = [39, 48, 21] (5 terms; omitted terms have valuation >= 5)\nlog(E+ - 3O) mod 81 = [69, 72, 69] (5 terms)\nlog(E- - 3O) mod 81 = [51, 57, 33] (18 terms; omitted terms have valuation >= 6)\nL = log(P1 - O) mod 27: [24, 15, 15]; v3(L) = [1, 1, 1]\nlog(Q+ - O) mod 27: [12, 9, 12]; log(Q- - O) mod 27: [18, 3, 0]\nA mod 9 = [5, 1, 0], A mod 3 = [2, 1, 0], B mod 3 = [2, 0, 1]\nA.log(Q+ - O) mod 27 = 15, A.log(Q- - O) mod 27 = 12; valuations 1, 1\nC(F_3) = O and [[0, 1], [1, 0], [1, 1], [1, 2], [2, 0]]\nO (s = t): B.(0,0,-1) = -1 = 2 (mod 3)\nP- (s = v): A.(1,-1,0)/(4x^3-v) = 2\nP1 (s = x-1): B.(1,1,0)/(3v^2+x+1) = 1\nP3 (s = x-3): A.(1,3,4)/(3v^2+x+1) = 2\nQ+- (s = x-1): A.(1,1,alpha)/(3alpha^2+2) mod 3 = 0, 0 (A omega = 0 mod 3 at x = 1)\n" }, { "path": "anc/code/1.1.14/expected/1.1.14a_extra.txt", "size_bytes": 440, "sha256": "d8ba927d7bd43546eadc4344e156cee2b84f76455fd8c5270955ce0f5c80d5de", "mode": 420, "encoding": "utf-8", "text": "factor f: [t, 1; t^5 - 6*t^4 + 12*t^2 + 2, 1]\ndisc f: [-1, 1; 2, 6; 3, 10; 19, 1; 149, 1; 3461, 1]\nf(24) == 20748^2: 1 f'(24) mod 7: 1\n12*det(M(q1)-2tM(q2)+t^2M(q3)) == f: 1\nP+ on D: [0, 0, 0] tangent: [0, 0, 0]\na_{P+}(t) = 1/12*t^2 - 2*t\ndisc(t^2+t+4) mod 7 = 6 is square mod 7: 0\nJacobian (v,r,s) at P+: [1, 0, 0; 0, 3, 0; 3, 0, 6] det: 18\nsigma fixed points: r=s=0 gives [x^2, z*v, -z*x + (-v^2 + 3*z*v - 3*z^2)]\n1729*12 == 20748: 1\n" }, { "path": "anc/code/1.1.14/expected/1.1.14a_symbolic.txt", "size_bytes": 214, "sha256": "d535337d91b4ecd2954d7551a2473068d223d5643b68be38ed1b0d9719ed5028", "mode": 420, "encoding": "utf-8", "text": "ALL SYMBOLIC CHECKS PASSED\nLocal expansions at P_+:\ns = x**3/432 - x**2/72 + x/6 + 1 + O(x^4)\nr = -x**4/72 + x**3/18 - x**2/3 + O(x^5)\nv = x**5/9 - x**4/3 + O(x^6)\nPrym polynomial: 3*t**6 - 18*t**5 + 36*t**3 + 6*t\n" }, { "path": "anc/code/1.1.14/expected/1.1.14b_check_smooth.txt", "size_bytes": 209, "sha256": "ae89fbe20f4312fe68e1582d1ef0f1f2e5035e0c6c503fc56b77f442abb0dcac", "mode": 420, "encoding": "utf-8", "text": "p = 7 dim(D affine cone) = 2 dim(singular locus cone) = 0 (<=0 means D smooth)\np = 0 dim(D affine cone) = 2 dim(singular locus cone) = 0 (<=0 means D smooth)\n genus check via Hilbert polynomial: 8*t - 4\n" }, { "path": "anc/code/1.1.14/expected/1.1.14b_prym_lpoly.txt", "size_bytes": 499, "sha256": "5d9eba0b6546fbe6ddfdf1064ba10329328768b645f8c57bc3fbae9a4fa51855", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 10\n12*det = 3*T^6 - 18*T^5 + 36*T^3 + 6*T\n equals f: true\nq1*q3-q2^2 = -x^4 - x*v*z^2 - v^3*z + 3*v^2*z^2 - 3*v*z^3\np 5 genus D 5 L(D)=L(C3)L(H): true #J_H(F_p) = 23\n Cputime 0.300\np 7 genus D 5 L(D)=L(C3)L(H): true #J_H(F_p) = 32\n Cputime 0.530\np 11 genus D 5 L(D)=L(C3)L(H): true #J_H(F_p) = 163\n Cputime 2.960\np 13 genus D 5 L(D)=L(C3)L(H): true #J_H(F_p) = 172\n Cputime 5.560\np 17 genus D 5 L(D)=L(C3)L(H): true #J_H(F_p) = 292\n Cputime 7.860\nCPU 7.860\n" }, { "path": "anc/code/1.1.14/expected/1.1.14c_certificate.txt", "size_bytes": 371, "sha256": "03b5a4477564b8ddd39c588cd8b38ef5500ea79cf0544501d918b843a918447a", "mode": 420, "encoding": "utf-8", "text": "[ 0, 0, 1, 0, 1 ] u^2 + 4*u true\n[ 0, 0, 6, 0, 1 ] u^2 + 4*u true\n[ 2, 1, 4, 1, 1 ] u^2 + u + 4 false\n[ 4, 3, 5, 4, 1 ] u^2 + u + 4 false\n[ 3, 4, 2, 4, 1 ] u^2 + u + 4 false\n[ 5, 6, 3, 1, 1 ] u^2 + u + 4 false\n[ 0, 3, 6, 1, 0 ] u^2 + u + 4 false\n[ 0, 4, 1, 1, 0 ] u^2 + u + 4 false\nALL ARITHMETIC CHECKS PASSED\n" }, { "path": "anc/code/1.1.14/expected/1.1.14c_check_f7.txt", "size_bytes": 523, "sha256": "1d5caa1ff7862f1258248d8e509444918c33bb5fe55159474bfb44f9740f87cb", "mode": 420, "encoding": "utf-8", "text": "#D(F7) = 8\n(0, 0, 1, 0, 1) a_p (t^2,t,1 coeffs, normalised) = {(1, 4, 0)}\n(0, 0, 1, 0, 6) a_p (t^2,t,1 coeffs, normalised) = {(1, 4, 0)}\n(0, 1, 2, 2, 0) a_p (t^2,t,1 coeffs, normalised) = {(1, 1, 4)}\n(0, 1, 2, 5, 0) a_p (t^2,t,1 coeffs, normalised) = {(1, 1, 4)}\n(1, 4, 2, 3, 3) a_p (t^2,t,1 coeffs, normalised) = {(1, 1, 4)}\n(1, 4, 2, 4, 4) a_p (t^2,t,1 coeffs, normalised) = {(1, 1, 4)}\n(1, 6, 3, 1, 2) a_p (t^2,t,1 coeffs, normalised) = {(1, 1, 4)}\n(1, 6, 3, 6, 5) a_p (t^2,t,1 coeffs, normalised) = {(1, 1, 4)}\n" }, { "path": "anc/code/1.1.14/expected/1.1.14c_check_jac7.txt", "size_bytes": 212, "sha256": "e063db31a11d63987cf993e43a06efeed8ef604e50779fe8e1731266d41e6c7a", "mode": 420, "encoding": "utf-8", "text": "h = 6*u^5 + u^3 + 3*u + 3 factor: (6) * (u + 1) * (u + 2) * (u + 3) * (u^2 + u + 3)\n#J(F7) via frobenius poly: 32\nG7 = (x + 2, y) 2*G7 = (1)\n#enumerated = 32\nsolutions of 2T = G7 in J(F7): 0\n2-torsion count: 8\n" }, { "path": "anc/code/1.1.14/expected/1.1.14c_check_twist.txt", "size_bytes": 280, "sha256": "b235cd42ba6a401ea120fb1141599463507988a57c078383a1c1f91cab1796e7", "mode": 420, "encoding": "utf-8", "text": "11 (#D(F_p), consistent, inconsistent, a2=0 skipped) = (22, 14, 0, 8)\n13 (#D(F_p), consistent, inconsistent, a2=0 skipped) = (18, 10, 0, 8)\n17 (#D(F_p), consistent, inconsistent, a2=0 skipped) = (14, 14, 0, 0)\n19 (#D(F_p), consistent, inconsistent, a2=0 skipped) = (20, 20, 0, 0)\n" }, { "path": "anc/code/1.1.14/expected/1.1.14e_beta.txt", "size_bytes": 342, "sha256": "fb5d79202d8e0674b65e60aa50642c19861e38bf07b6639796f2529b7111456e", "mode": 420, "encoding": "utf-8", "text": "f(24) == 20748^2: 1 v7(20748)=1 f'(24) mod 7 = 1\ndisc f mod 5,7: 4 6 factor disc: [-1, 1; 2, 6; 3, 10; 19, 1; 149, 1; 3461, 1]\n7-adic roots of f: [0, 37, 24, 27]~\nalpha mod 7^4 = 1641\nv7 of f'(alpha): 0\nv7(l0)=1 v7(l1)=1\nbeta mod 7^6 = 53924 beta mod 7 = 3\ncheck series coefficients of w0, w1 are 7-integral (min valuation): 0 0\nf(0)=0\n" }, { "path": "anc/code/1.1.14/expected/1.1.14f_series.txt", "size_bytes": 1766, "sha256": "83ba77c674e02cebd54707d4faaee1a1179babcf56a2338d0116a57bba1ad982", "mode": 420, "encoding": "utf-8", "text": "branch s(0)=1\n s: ['1', '1/6', '-1/72', '1/432', '1723/10368']\n r: ['0', '0', '-1/3', '1/18', '-1/72', '5/1296']\n v: ['0', '0', '0', '0', '-1/3', '1/9', '-1/27']\n min v7 of coeffs (v,r,s): 0\n a_p at x=0: 0 -2 1/12\n t1: ['0', '0', '2/3', '-1/9', '1/24']\n t2: ['24', '0', '0', '-1729/9', '12103/216']\n min v7 t1,t2 coeffs: 0 0 v7 of t2 coeffs k>=1: [99, 99, 1, 2, 1, 0, 1, 0, 0]\n eta1/x: ['2', '-1/6', '1/18', '-1/72'] eta2: ['20748', '0', '0', '-18921601/36']\n v7 eta2 coeffs: [1, 99, 99, 0, 1, 0, 0, 0, 2, 0, 2, 0]\n S1_0 first coeffs: ['1/3', '-1/18', '1/36'] v7: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1]\n S1_1 first coeffs: ['0', '0', '2/9'] v7: [99, 99, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0]\n S2_0 first coeffs: ['0', '0', '-1/72'] v7: [99, 99, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1]\n S2_1 first coeffs: ['0', '0', '-1/3'] v7: [99, 99, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1]\nbranch s(0)=-1\n s: ['-1', '-1/6', '1/72', '-1/432', '-1723/10368']\n r: ['0', '0', '1/3', '-1/18', '1/72', '-5/1296']\n v: ['0', '0', '0', '0', '-1/3', '1/9', '-1/27']\n min v7 of coeffs (v,r,s): 0\n a_p at x=0: 0 -2 1/12\n t1: ['0', '0', '2/3', '-1/9', '1/24']\n t2: ['24', '0', '0', '-1729/9', '12103/216']\n min v7 t1,t2 coeffs: 0 0 v7 of t2 coeffs k>=1: [99, 99, 1, 2, 1, 0, 1, 0, 0]\n eta1/x: ['2', '-1/6', '1/18', '-1/72'] eta2: ['20748', '0', '0', '-18921601/36']\n v7 eta2 coeffs: [1, 99, 99, 0, 1, 0, 0, 0, 2, 0, 2, 0]\n S1_0 first coeffs: ['1/3', '-1/18', '1/36'] v7: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1]\n S1_1 first coeffs: ['0', '0', '2/9'] v7: [99, 99, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0]\n S2_0 first coeffs: ['0', '0', '-1/72'] v7: [99, 99, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1]\n S2_1 first coeffs: ['0', '0', '-1/3'] v7: [99, 99, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1]\n" }, { "path": "anc/code/1.1.15/expected/q9_exact_mod2.json", "size_bytes": 1333, "sha256": "66a7dfe59140b3f0cd35d426ca604f0f8a2d57a8a0f84971c043990a46348621", "mode": 420, "encoding": "utf-8", "text": "{\n \"modular_precision_bits\": 40,\n \"series_truncation\": 64,\n \"I_E_mod64\": [\n 2,\n 0\n ],\n \"I_F_mod64\": [\n 2,\n 22\n ],\n \"J_E_mod64\": [\n 60,\n 44\n ],\n \"J_F_mod64\": [\n 62,\n 30\n ],\n \"M_mod64\": [\n [\n 56,\n 19\n ],\n [\n 19,\n 53\n ]\n ],\n \"height_symmetry_mod_2N\": true,\n \"v2_log_matrix_determinant\": 3,\n \"disc_certificates\": [\n {\n \"disc\": \"A\",\n \"e\": 2,\n \"q_2u_coefficients_mod_32\": [\n 20,\n 28,\n 16,\n 16,\n 16,\n 0,\n 0\n ],\n \"q_div_2e_mod2\": \"u + u^2\"\n },\n {\n \"disc\": \"B\",\n \"e\": 3,\n \"q_2u_coefficients_mod_32\": [\n 24,\n 24,\n 0,\n 16,\n 0,\n 0,\n 0\n ],\n \"q_div_2e_mod2\": \"u + u^2\"\n },\n {\n \"disc\": \"D\",\n \"e\": 2,\n \"q_2u_coefficients_mod_32\": [\n 20,\n 12,\n 0,\n 16,\n 16,\n 0,\n 0\n ],\n \"q_div_2e_mod2\": \"u + u^2\"\n },\n {\n \"disc\": \"E\",\n \"e\": 2,\n \"q_2u_coefficients_mod_32\": [\n 20,\n 4,\n 8,\n 0,\n 16,\n 0,\n 0\n ],\n \"q_div_2e_mod2\": \"u + u^2\"\n }\n ],\n \"all_finite_checks_passed\": true,\n \"scope\": \"Finite arithmetic only. Rank upper bound and analytic/height lemmas are separate.\"\n}\n" }, { "path": "anc/code/1.1.15/expected/q9_qc2.txt", "size_bytes": 1142, "sha256": "f038afb03e94b492be690d7d03461cfcde4ce3c824b2f8ea3dd698007cd482b8", "mode": 420, "encoding": "utf-8", "text": "Recorded actual remote Magma execution, 2026-10-15.\nMagma V2.29-10. Calculator seed: 1608903327.\nReported runtime: 0.690 s. Reported memory: 32.09 MB.\n\nI_E I_F\n(311442091611235873345*2 + O(2^71)\n -1512310523837791799*2^7 + O(2^71))\n(-180967143789924618527*2 + O(2^71)\n -550710855251420940725*2 + O(2^71))\nJ_E J_F\n(-336725767346783424929*2^2 + O(2^72)\n 119185877899820809147*2^2 + O(2^71))\n(-575748628517123772001*2 + O(2^71)\n -537700715600564460145*2 + O(2^71))\nsymmetry valuation 71\nlog determinant 3\nM\n[13126274611143697095*2^3 + O(2^68) -70808205619149878381 + O(2^68)]\n[-70808205619149878381 + O(2^68) -69287664107145450635 + O(2^68)]\ndisk 1 minimum 2 reduction u^2 + u\ntail 21 2\nknown second root value 70\ndisk 2 minimum 3 reduction u^2 + u\ntail 22 1\nknown second root value 70\ndisk 3 minimum 2 reduction u^2 + u\ntail 20 1\nknown second root value 70\ndisk 4 minimum 2 reduction u^2 + u\ntail 20 2\nknown second root value 70\n\nThe printed 'tail' line only concerns the computed truncation. The proof of the\nINFINITE tail is a separate coefficient bound in proof.tex/proof.pdf.\nThe independent exact finite verifier is code/q9_exact_mod2.py.\n" }, { "path": "anc/code/1.1.15/expected/q9_rank_geometry.txt", "size_bytes": 516, "sha256": "67c8e936d53e778e6d5117d174f4754a9d073795d686fc01945b394c901cc8ad", "mode": 420, "encoding": "utf-8", "text": "Recorded actual remote Magma execution, 2026-10-15.\nMagma V2.29-10. Explicit Minkowski class-group bound maps.\nCalculator response seed: 1107032314. Program sets seed 261015.\nReported runtime: 0.370 s. Reported memory: 32.09 MB.\n\ndiscriminant -8539\nrank_upper_bound 2\ngenus 2\nbad_fibre_gcd u + 1709\nordinary_node_check 1\nF2_curve_points 5\nF2_Jacobian_order 13\n\nThis is a recorded output, not an independently checkable replacement for\nMagma's two-descent implementation. Re-run code/q9_rank_geometry.m to reproduce.\n" }, { "path": "anc/code/1.1.15/expected/q9_symbolic.json", "size_bytes": 779, "sha256": "fdd925340c33fb93f9364c185118a769189b21be4cf08793b48b167bad7c85d0", "mode": 420, "encoding": "utf-8", "text": "{\n \"normalization_identity\": true,\n \"given_points_verified\": 8,\n \"kernel_groebner_remainder\": 0,\n \"principal_divisor_zero_orders\": {\n \"x\": {\n \"D\": 1,\n \"E\": 2\n },\n \"y\": {\n \"B\": 1,\n \"D\": 1,\n \"E\": 1,\n \"F\": 1\n },\n \"y-x\": {\n \"A\": 1,\n \"D\": 2,\n \"E\": 1\n },\n \"x+1\": {\n \"A\": 1,\n \"B\": 1,\n \"C\": 1\n },\n \"x+y\": {\n \"C\": 1,\n \"D\": 1,\n \"E\": 1,\n \"G\": 1\n },\n \"z-2x-1\": {\n \"A\": 3,\n \"C\": 1,\n \"H\": 1\n }\n },\n \"eta_reciprocity_residues\": [\n [\n 0,\n 0\n ],\n [\n 0,\n 0\n ],\n [\n -1,\n -1\n ],\n [\n 0,\n 0\n ],\n [\n -1,\n 1\n ],\n [\n -4,\n 0\n ]\n ],\n \"all_symbolic_checks_passed\": true\n}\n" }, { "path": "anc/code/1.1.2/data/classgroup_params.json", "size_bytes": 2573, "sha256": "ee6cb3c23f42d5f35daa015c95e1458202845d8e6f756d0dfacc5b061950569f", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4-y^3+x-y=0\",\n \"section\": \"1.1.2\",\n \"polynomial\": \"x^27+480*x^19-1344*x^18-34560*x^11-70656*x^10-40704*x^9-16384*x^3+12288*x-4096\",\n \"field_discriminant\": \"682070924248236012551927103350956030255853392101376\",\n \"signature\": [3, 12],\n \"principal_bound\": 5000000,\n \"support\": 100000000,\n \"window_heights\": [432299, 497400, 535452, 565108, 590370, 612816, 633249, 652140, 669784, 686394, 702142, 717147, 731476, 745178, 758313, 770935, 783090, 794812, 806136, 817089, 827703, 838049, 849001, 859422, 868999, 878182, 887055, 895673, 904234, 913550, 921763, 929697, 937653, 949016, 958921, 967068, 974887, 981713, 988099, 994616, 1000625, 1005845, 1010179, 1014475, 1019629, 1025875, 1030524, 1034580, 1037852, 1040800, 1043548, 1046351, 1049773, 1052493, 1054787, 1057237, 1059625, 1062131, 1064411, 1066742, 1068771, 1070461, 1072557, 1074548, 1077392, 1080190, 1082395, 1085070, 1086914, 1088557, 1090279, 1091675, 1092768, 1093831, 1094829, 1096575, 1097945, 1099399, 1100979, 1102334, 1103582, 1104583, 1105484, 1106123, 1106973, 1107847, 1108518, 1109202, 1109733, 1110392, 1110991, 1111567, 1112172, 1113165, 1114401, 1115305, 1115911, 1116665, 1117269, 1117737, 1118206, 1118591, 1119082, 1119691, 1120047, 1120238, 1120528, 1120896, 1121182, 1121479, 1121932, 1122170, 1122400, 1122663, 1123068, 1123509, 1123823, 1124112, 1124443, 1124672, 1124817, 1124764, 1124636, 1124641, 1124675, 1124811, 1124855, 1124869, 1124869, 1124855, 1124811, 1124675, 1124641, 1124636, 1124764, 1124817, 1124672, 1124443, 1124112, 1123823, 1123509, 1123068, 1122663, 1122400, 1122170, 1121932, 1121479, 1121182, 1120896, 1120528, 1120238, 1120047, 1119691, 1119082, 1118591, 1118206, 1117737, 1117269, 1116665, 1115911, 1115305, 1114401, 1113165, 1112172, 1111567, 1110991, 1110392, 1109733, 1109202, 1108518, 1107847, 1106973, 1106123, 1105484, 1104583, 1103582, 1102334, 1100979, 1099399, 1097945, 1096575, 1094829, 1093831, 1092768, 1091675, 1090279, 1088557, 1086914, 1085070, 1082395, 1080190, 1077392, 1074548, 1072557, 1070461, 1068771, 1066742, 1064411, 1062131, 1059625, 1057237, 1054787, 1052493, 1049773, 1046351, 1043548, 1040800, 1037852, 1034580, 1030524, 1025875, 1019629, 1014475, 1010179, 1005845, 1000625, 994616, 988099, 981713, 974887, 967068, 958921, 949016, 937653, 929697, 921763, 913550, 904234, 895673, 887055, 878182, 868999, 859422, 849001, 838049, 827703, 817089, 806136, 794812, 783090, 770935, 758313, 745178, 731476, 717147, 702142, 686394, 669784, 652140, 633249, 612816, 590370, 565108, 535452, 497400, 432299],\n \"precision_bits\": 224\n}\n" }, { "path": "anc/code/1.1.2/expected/1.1.2a.txt", "size_bytes": 2432, "sha256": "6d6ce2686ca8fa70296ccccbe75047304d04897acf189b04c1698990e5215c12", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.2a_bitangent.gp; gp -q 1.1.2a_field.gp; gp -q 1.1.2a_nodes.gp; gp -q 1.1.2a_descent.gp (run here 14 Oct 2026; PARI 2.15.4)\n## 1.1.2a_bitangent.gp\nR content/lead: 1/4096 deg 27\ndeg27 factor == TeX f: 1\nirreducible: 1\nreal roots (signature r1): 3\n## 1.1.2a_field.gp\npoldisc factorization (proven): [2, 312; 3, 54; 5, 2; 11, 2; 277, 6; 5479, 2; 66943, 6; 148835457319, 2]\nfield disc: [2, 24; 277, 6; 66943, 6] sign 1\nTeX claim 2^24*277^6*66943^6 match |D|: 1\nsignature: [3, 12]\nprimes above 2: [[9, 3]]\nprimes above 3: [[1, 3], [1, 6], [1, 6], [1, 6], [1, 6]]\n277: [[1, 3], [1, 6], [1, 6], [2, 6]]\n66943: [[1, 1], [1, 2], [2, 2], [1, 4], [1, 4], [2, 4], [1, 4]]\n## 1.1.2a_nodes.gp\np=277 F,Fu,Fz at node: [Mod(0, 277), Mod(0, 277), Mod(0, 277)]\n Hessian det mod p: Mod(228, 277)\n critical pt residual: [20, 20] v_p(F(crit)) = thickness = 1\np=66943 F,Fu,Fz at node: [Mod(0, 66943), Mod(0, 66943), Mod(0, 66943)]\n Hessian det mod p: Mod(16756, 66943)\n critical pt residual: [20, 20] v_p(F(crit)) = thickness = 1\np=277 gcd for singular z: Mod(89, 277)*z + Mod(1, 277)\np=66943 gcd for singular z: Mod(8539, 66943)*z + Mod(1, 66943)\n## 1.1.2a_descent.gp\nresultant factor degrees: [27]\nslope poly == TeX: 1\nintercept denom factor: [2, 9; 3, 2; 5, 1; 11, 1; 5479, 1; 148835457319, 1]\nbnf time 3885 cyc [] reg 954741834393167.90255104045743895811556\nsunit time 3901 #S-units 1\n#gens 16\nS-unit ideal: pr2^1 norm -8\nunits verified: integral, norm +-1; S-unit support verified\nrank of character matrix mod 2: 16 (need 16)\nnorm of S-unit gen: -8\nafter norm-square: dim 14\np=487 #C(F_p)=480 factor degrees [3, 6, 6, 6, 6] #v=5 dim local image=0 pts with one zero 0 with >=2 zeros 0\n candidate dim now 10\np=491 #C(F_p)=492 factor degrees [1, 2, 2, 2, 4, 4, 4, 4, 4] #v=9 dim local image=2 pts with one zero 0 with >=2 zeros 0\n candidate dim now 6\np=499 #C(F_p)=463 factor degrees [1, 4, 4, 6, 12] #v=5 dim local image=1 pts with one zero 2 with >=2 zeros 0\n candidate dim now 4\np=503 #C(F_p)=513 factor degrees [3, 12, 12] #v=3 dim local image=0 pts with one zero 0 with >=2 zeros 0\n candidate dim now 3\npr2 e,f = [9, 3]\n(O/pr^19)^* cyc length 28 #even components 28 => dim K_v*/sq = 29\nuniformizer valuation: 1\nsanity sq(t^2)=0: 1 mult: 1\nvaluations seen: [-2]\nnumber of Q_2-points used 50; dim span of dyadic images = 3 (must be <= dim J(Q_2)/2 = 3)\nfinal Selmer upper bound dim (after norm, 487..503, dyadic): 2\n" }, { "path": "anc/code/1.1.2/expected/1.1.2b.txt", "size_bytes": 570, "sha256": "7f742f96aef58db922225778a7264f8c077d9c040697e2e91f7e94d4fe225d34", "mode": 420, "encoding": "utf-8", "text": "# SLICE: python3 ../common/h31_classgroup/count_ideals.py data/classgroup_params.json --hi 2000000 --out work/counts_2_2000000.npz (run here 14 Oct 2026, PARI 2.15.4 / python-flint 0.9.0; 29 s)\n# reference: our earlier full count restricted to p <= 2*10^6 gives 149980\nRANGE 2 2000000 SUPPORT 100000000 RATIONAL_PRIMES 148933 DISTINCT_NORMS 81212 PRIME_IDEALS 149980 SHA256 e8ca88734f67630c4ebced28caa0c86ea27bf8d0a05c32bee620ad24f77fb870 SECONDS 28.9\n# FULL (not run here): expected RANGE 2 99999999 SUPPORT 100000000 RATIONAL_PRIMES 5761455 ... PRIME_IDEALS 5763020\n" }, { "path": "anc/code/1.1.2/expected/1.1.2c.txt", "size_bytes": 881, "sha256": "bc896ef1a693a2460ec5b7a10411ca52ef0644d87782b9f753bc0eb27964a8b8", "mode": 420, "encoding": "utf-8", "text": "# SLICE: python3 ../common/h31_classgroup/witnesses.py data/classgroup_params.json --lo 2 --hi 20000 --out work/witnesses_2_20000.jsonl.gz (run here 14 Oct 2026, PARI 2.15.4 / python-flint 0.9.0; 59 s)\nWITNESSES 2701 STRICT 1689 DIRECT 1012 BY_DEGREE {\"1\": 2317, \"2\": 347, \"3\": 14, \"4\": 12, \"6\": 11} BOUND 5000000 RANGE 2 20000 SECONDS 58.6\n# python3 ../common/h31_classgroup/check_witnesses.py data/classgroup_params.json work/witnesses_2_20000.jsonl.gz --lo 2 --hi 20000\nALL 2701 PRIME IDEALS OF NORM <= 5000000 OVER p IN [2, 20000] HAVE VALID WITNESSES; COFACTOR_ONE 1018 COFACTOR_GT_ONE 1683 BY_DEGREE {\"1\": 2317, \"2\": 347, \"3\": 14, \"4\": 12, \"6\": 11} WITNESSES_USED 2701 SECONDS 4.9\n# reference: 2701 prime ideals of norm <= 5*10^6 lie over p <= 20000\n# FULL (not run here): expected ALL 349551 PRIME IDEALS OF NORM <= 5000000 OVER p IN [2, 5000000] HAVE VALID WITNESSES ...\n" }, { "path": "anc/code/1.1.2/expected/1.1.2d.txt", "size_bytes": 1116, "sha256": "6a1c631816c3a32ff95487be2d9f7cca3ef31926660e8f075d34729f72df720a", "mode": 420, "encoding": "utf-8", "text": "# python3 ../common/h31_classgroup/bound.py data/classgroup_params.json COUNTS.npz (run here 14 Oct 2026, python-flint 0.9.0 Arb; 83 s)\n# COUNTS.npz = complete table of all prime ideals of norm < support, from our earlier independent count of\n# 14 Oct 2026 (same method as count_ideals.py), converted to the .npz format of count_ideals.py\ndegree = 27\nsignature = [3, 12]\nsupport_count_bound = 100000000\nprincipal_bound = 5000000\ncells = 256\nprecision_bits = 224\nexp_terms_dropped = false\nprime_ideals_norm_below_support = 5763020\nprime_ideals_proved_principal = 349551\nprime_power_terms = 3123992\nprime_power_terms_with_multiplicity = 5764473\nknot_straddling_terms = 0\narchimedean = \"[-1.19194674723378328785190123449 +/- 4.84e-30]\"\nprime_sum = \"[1.19282195046283117838833867815 +/- 1.32e-30]\"\npositive_part = \"[1.210694351702494849457341 +/- 2.43e-25]\"\nnegative_part = \"[-0.01787240123966367106900208 +/- 1.07e-27]\"\nB = \"[0.0008752032290478905364374436635234688366555 +/- 3.20e-44]\"\nB_rigorously_positive = true\nseconds = 82.2\nB_INTERVAL [0.0008752032290478905364374436635234688366555 +/- 3.20e-44] POSITIVE True\n" }, { "path": "anc/code/1.1.2/expected/1.1.2e.txt", "size_bytes": 1459, "sha256": "1393ae1a1f33fde210b02a9515dd1319a53405609326ff1c7389499eaece4260", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.2e_logs.gp; gp -q 1.1.2e_disks.gp (run here 14 Oct 2026; PARI 2.15.4)\n## 1.1.2e_logs.gp\nP0=(u,z)=[0, 0]: u*z^9 coefficient nonzero: 1\n Res_u(F,h) deg 31; multiplicity at z(P) 28; residual cubic irreducible over Q: 1\n v_3 of residual coefficients: [0, 2, 1, 0]; v_3(disc d) = 6\n d mod 3 = Mat([z + 2, 3])\n 3-adic factor degrees of d: [1, 2]\n fiber z = 1 mod 3\n factor deg 1: v(ze-c)=2 fiber u mod 3 (charpoly) 2\n factor deg 2: v(ze-c)=2 fiber u mod 3 (charpoly) x^2 + 2*x + 2\n log(P0-oo) mod 3^10 = [57309, 48831, 7839] ; valuations [1, 1, 2]\nP1=(u,z)=[0, -1]: u*z^9 coefficient nonzero: 1\n Res_u(F,h) deg 31; multiplicity at z(P) 28; residual cubic irreducible over Q: 1\n v_3 of residual coefficients: [3, 2, 1, 0]; v_3(disc d) = 6\n d mod 3 = Mat([z, 3])\n 3-adic factor degrees of d: [1, 2]\n fiber z = 0 mod 3\n factor deg 1: v(ze-c)=1 fiber u mod 3 (charpoly) 0\n factor deg 2: v(ze-c)=2 fiber u mod 3 (charpoly) x^2 + 1\n log(P1-oo) mod 3^10 = [40674, 56691, 3162] ; valuations [1, 2, 1]\ncross product valuations: [2, 2, 2] primitive annihilator mod 3: [2, 1, 1]\n## 1.1.2e_disks.gp\naffine F_3 points (u,z): List([[0, 0], [2, 1], [0, 2]])\nchart identity: 1\ndifferential identity at infinity: [1, 1, 1]\nlambda.omega mod 3 at infinity (t=0): Mod(2, 3)\ndisk (u,z)=[0, 0]: lambda.omega const = Mod(2, 3)\ndisk (u,z)=[2, 1]: lambda.omega const = Mod(2, 3)\ndisk (u,z)=[0, 2]: lambda.omega const = Mod(1, 3)\n" }, { "path": "anc/code/1.1.3/data/classgroup_params.json", "size_bytes": 929, "sha256": "1c69e29577873122b3207f303c3bd7ec569f6ac5dcebbbbccd58a28aae010761", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4+y^3+xy+1=0\",\n \"section\": \"1.1.3\",\n \"polynomial\": \"x^27 - 48*x^22 + 144*x^17 + 17280*x^15 + 832*x^12 + 64512*x^10 - 2560*x^7 + 27648*x^5 - 110592*x^3 - 1024*x^2 + 4096\",\n \"field_discriminant\": \"8291514845387242623105868334206933045051654144\",\n \"signature\": [3, 12],\n \"principal_bound\": 10000,\n \"support\": 1000000,\n \"window_heights\": [348713, 439422, 506632, 571104, 628824, 681770, 734824, 785129, 830775, 874487, 917392, 956098, 992150, 1027614, 1059083, 1088235, 1115759, 1140732, 1162601, 1182295, 1200227, 1214476, 1225576, 1234857, 1242352, 1249426, 1255617, 1260978, 1265179, 1268040, 1269313, 1270321, 1270321, 1269313, 1268040, 1265179, 1260978, 1255617, 1249426, 1242352, 1234857, 1225576, 1214476, 1200227, 1182295, 1162601, 1140732, 1115759, 1088235, 1059083, 1027614, 992150, 956098, 917392, 874487, 830775, 785129, 734824, 681770, 628824, 571104, 506632, 439422, 348713],\n \"precision_bits\": 224\n}\n" }, { "path": "anc/code/1.1.3/expected/1.1.3a.txt", "size_bytes": 1444, "sha256": "1355b375c387e94a46d4410f81fddff8b08a691d85dfe39f3ad9969dee8a83a0", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.3a_geometry.gp (run here 14 Oct 2026, PARI 2.15.4)\nclaimed pts on curve: [0, 0]\nchar-0 affine singular x gcd: 1\n3*144^4-5^5 = 1289941963 = [17, 2; 4463467, 1] isprime(4463467)=1\nelimination resultant factor (small primes trial): [2, 20; 17, 2; 4463467, 1]\ninfinity chart check: F(t/w,1/w)*w^4 = 1 dG/dw(0,0) = 1\nslope resultant factor degrees: [[27, 1]]\nslope polynomial: m^27 - 48*m^22 + 144*m^17 + 17280*m^15 + 832*m^12 + 64512*m^10 - 2560*m^7 + 27648*m^5 - 110592*m^3 - 1024*m^2 + 4096\nirreducible: 1 real roots: 3\npoldisc partial factorization: [2, 312; 17, 12; 4463467, 6; 46585469078318123429722619741443, 2]\n\n# gp -q 1.1.3a_field.gp\npoldisc factorization (proven): [2, 312; 17, 12; 4463467, 6; 212145823, 2; 219591733740230763014941, 2]\nfield disc: [2, 20; 4463467, 6] matches 2^20*4463467^6: 1 sign 1\nsignature [3, 12]\nprimes above 2 (e,f): [[5, 1], [1, 1], [5, 1], [5, 1], [1, 1], [5, 2]]\nprimes above 17 (e,f): [[1, 1], [1, 2], [1, 2], [1, 2], [1, 4], [1, 4], [1, 4], [1, 4], [1, 4]]\nprimes above 3 (e,f): [[1, 2], [1, 5], [1, 5], [1, 5], [1, 10]]\np=17 F,Fx,Fy at node: [Mod(0, 17), Mod(0, 17), Mod(0, 17)]\n Hessian det mod p: Mod(5, 17)\n gradient at Z_p critical point valuations [30, 30]; thickness v_p(F(crit)) = 2\np=4463467 F,Fx,Fy at node: [Mod(0, 4463467), Mod(0, 4463467), Mod(0, 4463467)]\n Hessian det mod p: Mod(5, 4463467)\n gradient at Z_p critical point valuations [30, 30]; thickness v_p(F(crit)) = 1\n" }, { "path": "anc/code/1.1.3/expected/1.1.3b.txt", "size_bytes": 856, "sha256": "7f98ae2ae6ef619e008b2f6e4a570dd784c2bbfc8c1a39a997adf88f378f92d4", "mode": 420, "encoding": "utf-8", "text": "# ./1.1.3bc_classgroup.sh, stages 1.1.3b (run here 14 Oct 2026)\n== 1.1.3b (i): prime ideals of norm < 10^6\nBLOCK 2 999999 RATIONAL_PRIMES 78498 SECONDS 10.5\nRANGE 2 999999 SUPPORT 1000000 RATIONAL_PRIMES 78498 DISTINCT_NORMS 42600 PRIME_IDEALS 78493 SHA256 790b1061c0a4030b37365a0ae11175d5b786be68f4b7b5327825c48194c10d1b SECONDS 10.6\n== 1.1.3b (ii): generators of the prime ideals of norm <= 10^4 (bnfinit only proposes)\nBLOCK 2 10000 IDEALS 1260 SECONDS 48.7\nWITNESSES 1260 STRICT 0 DIRECT 1260 BY_DEGREE {\"1\": 1229, \"2\": 18, \"3\": 7, \"5\": 6} BOUND 10000 RANGE 2 10000 SECONDS 48.8\n== 1.1.3b (ii): exact check against an independent list of the prime ideals\nALL 1260 PRIME IDEALS OF NORM <= 10000 OVER p IN [2, 10000] HAVE VALID WITNESSES; COFACTOR_ONE 1260 COFACTOR_GT_ONE 0 BY_DEGREE {\"1\": 1229, \"2\": 18, \"3\": 7, \"5\": 6} WITNESSES_USED 1260 SECONDS 2.2\n" }, { "path": "anc/code/1.1.3/expected/1.1.3c.txt", "size_bytes": 871, "sha256": "0bdd3b4aadba280abbfb7418fe002296fec95035114632c1287bfdff70d7e40b", "mode": 420, "encoding": "utf-8", "text": "# python3 ../common/h31_classgroup/bound.py data/classgroup_params.json work/counts.npz (run here 14 Oct 2026)\ndegree = 27\nsignature = [3, 12]\nsupport_count_bound = 1000000\nprincipal_bound = 10000\ncells = 64\nprecision_bits = 224\nexp_terms_dropped = false\nprime_ideals_norm_below_support = 78493\nprime_ideals_proved_principal = 1260\nprime_power_terms = 42743\nprime_power_terms_with_multiplicity = 78787\nknot_straddling_terms = 0\narchimedean = \"[-0.790199426987521289824921086290 +/- 3.34e-31]\"\nprime_sum = \"[0.854417698530167955376961340582 +/- 4.70e-31]\"\npositive_part = \"[0.9069908031510331055315050 +/- 6.13e-27]\"\nnegative_part = \"[-0.05257310462086515015454367 +/- 4.46e-27]\"\nB = \"[0.06421827154264666555204025429213639168155 +/- 1.93e-42]\"\nB_rigorously_positive = true\nseconds = 0.8\nB_INTERVAL [0.06421827154264666555204025429213639168155 +/- 1.93e-42] POSITIVE True\n" }, { "path": "anc/code/1.1.3/expected/1.1.3d.txt", "size_bytes": 1322, "sha256": "0a906a5e0995784b03cbbbeaf764dbc431d00f52a1edbddb974519446f5863bb", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.3d_descent.gp (run here 14 Oct 2026, PARI 2.15.4; 14 s)\nintercept denominator: [2, 12; 212145823, 1; 219591733740230763014941, 1]\nbnfinit ms 1926 Cl (GRH) []\nbnfsunit ms 2396 #S-units 15 S-class group [1, [], []]\n#generators 30\nverified: 15 units (integral, norm +-1) and 15 S-units supported on primes above 2,17\nrank mod 2 of [valuations | characters]: 30 (need 30)\nafter norm-square: dim 27\np=487 #C(F_p)=510 deg [9, 9, 9] dim local image=0 one-zero pts 0 multi-zero pts 0\n candidate dim now 25\np=491 #C(F_p)=491 deg [2, 5, 5, 5, 10] dim local image=1 one-zero pts 0 multi-zero pts 0\n candidate dim now 22\np=499 #C(F_p)=498 deg [1, 2, 2, 2, 4, 4, 4, 4, 4] dim local image=2 one-zero pts 2 multi-zero pts 0\n candidate dim now 16\np=503 #C(F_p)=513 deg [3, 12, 12] dim local image=0 one-zero pts 0 multi-zero pts 0\n candidate dim now 14\np=509 #C(F_p)=495 deg [1, 4, 4, 6, 12] dim local image=1 one-zero pts 0 multi-zero pts 0\n candidate dim now 12\np=521 #C(F_p)=478 deg [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4] dim local image=3 one-zero pts 4 multi-zero pts 0\n candidate dim now 7\ndyadic local square-class dims: [7, 3, 7, 7, 3, 12] total 39\nQ_2-points used: 63; dim span of dyadic images = 5 (theory: = dim J(Q_2)/2J(Q_2) = 5)\nfinal 2-Selmer upper bound (norm, 6 good primes, dyadic): 2\n" }, { "path": "anc/code/1.1.3/expected/1.1.3e.txt", "size_bytes": 945, "sha256": "120b35c618f8f4f2e8236703448a782e532ec3ff2cae03000c8bcce08080d9ce", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.3e_chabauty.gp (run here 14 Oct 2026, PARI 2.15.4)\naffine F_3 points: List([[0, 2], [1, 2]])\nreductions: P0=(0,-1)->[0, 2] P1=(1,-1)->[1, 2]\naffine smooth mod 3 (F_3-points): 1\nF(0,0) mod 3 = 1\nchart identity: 1\nw(t) leading: -t^4 + O(t^9)\ndifferential identity at infinity: [1, 1, 1]\nQ=(-1/27,-82/81) on C: 1 t(Q) = 3/82 w(Q) = -81/82\nline y=x/3-1: F(x,x/3-1) = [x, 3; 27*x + 1, 1]\nL0 mod 9 = [0, 6, 1] v_3(L0) = [4, 1, 0]\ntangent line: F(x,-(3x+1)/4) = [x - 1, 2; 64*x^2 + 101*x + 63, 1]\na0 mod 9 = 0 a1 mod 9 = 7 residuals [50, 50]\nconstant coeffs: at P0 [1, 0, -1] at P1 [1/4, 1/4, -1/4]\nintegrality of series coeffs (min v_3 over first 59): P0 0 P1 0\ns(A) mod 9 = 3 s(B) mod 9 = 6\nT mod 9 = [0, 6, 0]\nL1 = -(L0+T)/3 valuations [1, 0, -1]\ncross product L0 x T mod 9 = [3, 0, 0] valuations [1, 2, 3]\nlambda mod 3 = [1, 0, 0] lambda.L0 = O(3^50) lambda.L1 = O(3^49)\nlambda.omega constant coeff: P0 0 P1 0 (0 = unit)\n" }, { "path": "anc/code/1.1.4/data/classgroup_params.json", "size_bytes": 972, "sha256": "9b451e29201b965c576b86925142c4b1e3d9de9058eab8ac7bed5df552919f11", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4+y^3+2x-y=0\",\n \"section\": \"1.1.4\",\n \"polynomial\": \"x^27-480*x^19+2688*x^18-34560*x^11-141312*x^10-162816*x^9+16384*x^3-49152*x+32768\",\n \"field_discriminant\": \"2326889515985953907282417842991419362237373569040384\",\n \"signature\": [3, 12],\n \"principal_bound\": 2020000,\n \"support\": 500000000,\n \"window_heights\": [4303378, 5334136, 6085348, 6704914, 7257440, 7753762, 8201132, 8625617, 9048588, 9419842, 9748207, 10055293, 10332627, 10586557, 10823037, 11026083, 11186037, 11286821, 11360936, 11422049, 11474548, 11518421, 11559492, 11590242, 11618670, 11638385, 11653470, 11665812, 11674973, 11680241, 11681810, 11682132, 11682132, 11681810, 11680241, 11674973, 11665812, 11653470, 11638385, 11618670, 11590242, 11559492, 11518421, 11474548, 11422049, 11360936, 11286821, 11186037, 11026083, 10823037, 10586557, 10332627, 10055293, 9748207, 9419842, 9048588, 8625617, 8201132, 7753762, 7257440, 6704914, 6085348, 5334136, 4303378],\n \"precision_bits\": 224\n}\n" }, { "path": "anc/code/1.1.4/expected/1.1.4a.txt", "size_bytes": 2307, "sha256": "1071053f86a93c3d603286342d5197997149da1691bf5c9ed3fd6a5d54a8b826", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.4a_basic.gp; gp -q 1.1.4a_bitangent.gp; gp -q 1.1.4a_field.gp; gp -q 1.1.4a_nodes.gp (run here 14 Oct 2026; PARI 2.15.4)\n# (these reviewer scripts treat 1.1.4 (source tag 4230) and 1.1.5 (4227) together)\n## 1.1.4a_basic.gp\n4230 transport: 0\n4227 transport: 0\n0 0 0 0 \n0 0 \n0 0 0 0 \n[[-8, -16], [0, -1], [0, 0], [0, 1]]\n0 0 \n[[0, 0], [8, -16]]\nN1=14332523 [83, 1; 172681, 1]\nN2=14365291 Mat([14365291, 1])\n## 1.1.4a_bitangent.gp\n[1, -m^3, -3*n*m^2, (-3*n^2 + 1)*m + 2, (-n^3 + n)]\n[1] degs [27]\n4230 deg27 factor matches f: 1 m^27 - 480*m^19 + 2688*m^18 - 34560*m^11 - 141312*m^10 - 162816*m^9 + 16384*m^3 - 49152*m + 32768\nMat([m^27 - 480*m^19 + 2688*m^18 - 34560*m^11 - 141312*m^10 - 162816*m^9 + 16384*m^3 - 49152*m + 32768, 1])\n[1, m^3, 3*n*m^2, (3*n^2 + 1)*m + 2, (n^3 + n)]\nMat([m^27 + 480*m^19 - 2688*m^18 - 34560*m^11 - 141312*m^10 - 162816*m^9 - 16384*m^3 + 49152*m - 32768, 1])\n4227 deg27 factor matches g: 1\nirreducible f1: 1 g2: 1\npolsturm f1 real roots: 3 g2: 3\n## 1.1.4a_field.gp\n1 0 1 1\nK1 sig [3, 12] disc [2, 28; 83, 6; 172681, 6] 2326889515985953907282417842991419362237373569040384\n claimed 2326889515985953907282417842991419362237373569040384 eq 1 eq2 1\n index 153123521071186100891420217159366171233263755589691294321297510094437772155909308416\n certify K1: []\nK2 sig [3, 12] disc [2, 28; 14365291, 6]\n claimed eq 1 index 143774148917985229695588190751527906944318305186261454043913068769140747733481553920\n certify K2: []\nK1 primes over 2 (e,f): [[10, 1], [16, 1], [1, 1]]\nK2 primes over 2 (e,f): [[10, 1], [16, 1], [1, 1]]\nK1 ram 83: [[1, 1], [2, 1], [2, 1], [1, 2], [1, 4], [1, 4], [1, 4], [2, 4]]\nK1 ram 172681: [[2, 1], [1, 1], [2, 1], [1, 1], [1, 1], [1, 2], [1, 2], [2, 2], [2, 2], [1, 2], [1, 2], [1, 2], [1, 2]]\nK2 ram q: [[1, 1], [2, 1], [1, 2], [2, 2], [2, 3], [1, 3], [1, 3], [1, 6]]\n## 1.1.4a_nodes.gp\n4230: F(xc,yc) = -3482803089/2097152 = [-1, 1; 2, -21; 3, 5; 83, 1; 172681, 1]\n 4x+9y: 0\n p=83: v(F)=1 v(Fx)=1 v(Fy)=1 v(Hess)=0\n p=172681: v(F)=1 v(Fx)=1 v(Fy)=1 v(Hess)=0\n F_p-rational affine sing pts at 83: 1\n F_p-rational affine sing pts at 172681: 1\n gcd degree in y at 83: 1\n gcd degree in y at 172681: 1\n4227: G(c) = [-1, 1; 2, -21; 3, 5; 14365291, 1] v_q(G)=1 v(Gu)=1 v(Gz)=1 v(Hess)=0\n identity 12F-4uFu-3zFz = 8*x + 18*y\n gcd degree: 1\n" }, { "path": "anc/code/1.1.4/expected/1.1.4b.txt", "size_bytes": 573, "sha256": "390a6692c9ddaec6c1ebae95647b327d925c06a01fba4033a850dc2e28d4f89c", "mode": 420, "encoding": "utf-8", "text": "# SLICE: python3 ../common/h31_classgroup/count_ideals.py data/classgroup_params.json --hi 2000000 --out work/counts_2_2000000.npz (run here 14 Oct 2026, PARI 2.15.4 / python-flint 0.9.0; 62 s)\n# reference: our earlier full count restricted to p <= 2*10^6 gives 151209\nRANGE 2 2000000 SUPPORT 500000000 RATIONAL_PRIMES 148933 DISTINCT_NORMS 81632 PRIME_IDEALS 151209 SHA256 743c049db902d2065b697696943e4e1e53b14ac6e57cb7391c7fdb5ce87113be SECONDS 61.1\n# FULL (not run here): expected RANGE 2 499999999 SUPPORT 500000000 RATIONAL_PRIMES 26355867 ... PRIME_IDEALS 26362584\n" }, { "path": "anc/code/1.1.4/expected/1.1.4c.txt", "size_bytes": 896, "sha256": "3fee52a2ab35a2a0fceee4a19802fd01f6744d704cecfa0b41c7f10bdeac62e3", "mode": 420, "encoding": "utf-8", "text": "# SLICE: python3 ../common/h31_classgroup/witnesses.py data/classgroup_params.json --lo 2 --hi 20000 --out work/witnesses_2_20000.jsonl.gz (run here 14 Oct 2026, PARI 2.15.4 / python-flint 0.9.0; 76 s)\nWITNESSES 2430 STRICT 1313 DIRECT 1117 BY_DEGREE {\"1\": 2138, \"2\": 263, \"3\": 16, \"5\": 5, \"6\": 6, \"12\": 2} BOUND 2020000 RANGE 2 20000 SECONDS 76.1\n# python3 ../common/h31_classgroup/check_witnesses.py data/classgroup_params.json work/witnesses_2_20000.jsonl.gz --lo 2 --hi 20000\nALL 2430 PRIME IDEALS OF NORM <= 2020000 OVER p IN [2, 20000] HAVE VALID WITNESSES; COFACTOR_ONE 1117 COFACTOR_GT_ONE 1313 BY_DEGREE {\"1\": 2138, \"2\": 263, \"3\": 16, \"5\": 5, \"6\": 6, \"12\": 2} WITNESSES_USED 2430 SECONDS 5.8\n# reference: 2430 prime ideals of norm <= 2020000 lie over p <= 20000\n# FULL (not run here): expected ALL 150219 PRIME IDEALS OF NORM <= 2020000 OVER p IN [2, 2020000] HAVE VALID WITNESSES ...\n" }, { "path": "anc/code/1.1.4/expected/1.1.4d.txt", "size_bytes": 1120, "sha256": "8c8b6a962076f9e9f6d824c668bab6b36e8b344f1ef1d4bfcdc11a55e69a0d51", "mode": 420, "encoding": "utf-8", "text": "# python3 ../common/h31_classgroup/bound.py data/classgroup_params.json COUNTS.npz (run here 14 Oct 2026, python-flint 0.9.0 Arb; 240 s)\n# COUNTS.npz = complete table of all prime ideals of norm < support, from our earlier independent count of\n# 14 Oct 2026 (same method as count_ideals.py), converted to the .npz format of count_ideals.py\ndegree = 27\nsignature = [3, 12]\nsupport_count_bound = 500000000\nprincipal_bound = 2020000\ncells = 64\nprecision_bits = 224\nexp_terms_dropped = false\nprime_ideals_norm_below_support = 26362584\nprime_ideals_proved_principal = 150219\nprime_power_terms = 14283789\nprime_power_terms_with_multiplicity = 26365301\nknot_straddling_terms = 0\narchimedean = \"[-1.22109924949351383230259667535 +/- 4.50e-30]\"\nprime_sum = \"[1.22119941042555903668318257525 +/- 4.72e-31]\"\npositive_part = \"[1.280661354114486725181804 +/- 4.26e-25]\"\nnegative_part = \"[-0.05946194368892768849862185 +/- 4.91e-28]\"\nB = \"[0.0001001609320452043805858999049688784370622 +/- 4.35e-44]\"\nB_rigorously_positive = true\nseconds = 238.8\nB_INTERVAL [0.0001001609320452043805858999049688784370622 +/- 4.35e-44] POSITIVE True\n" }, { "path": "anc/code/1.1.4/expected/1.1.4e.txt", "size_bytes": 2006, "sha256": "41cbc740f2e6c28c60f3291b16c73978301f3f94133111e8514ca9eefe5e65c3", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.4e_selmer.gp; gp -q 1.1.4e_dyadic_points.gp (run here 14 Oct 2026; PARI 2.15.4)\n## 1.1.4e_selmer.gp\ndyadic (e,f): [[10, 1], [16, 1], [1, 1]]\nK(S,2) basis size: 18\nbasis elements supported on the primes above 2: 1\ndim of prod K_P^*/squares: 33\nindependence rank of basis via dyadic classes: 18\nnorm data [neg sign, v2 parity]: [[1, 0], [0, 0], [1, 0], [0, 0], [1, 0], [1, 0], [1, 0], [1, 0], [1, 0], [0, 0], [1, 0], [1, 0], [0, 0], [0, 0], [0, 0], [1, 1], [1, 1], [0, 1]]\n(0,0) vals [0, 0, 6] cumulative rank 1\n(1,0) vals [2, 4, 0] cumulative rank 2\n(-1,0) vals [2, 4, 0] cumulative rank 2\n(16,-8) vals [0, 0, 6] cumulative rank 2\n(xA,2) vals [0, 0, 4] cumulative rank 3\n(r1,4) vals [0, 0, 6] cumulative rank 3\n(r2,4) vals [2, 4, 0] cumulative rank 4\n(r3,4) vals [2, 4, 0] cumulative rank 4\ninf t=2 vals [0, 0, 0] cumulative rank 4\ninf t=4 vals [0, 0, 0] cumulative rank 4\ndyadic image rank: 4\nafter norm: dim 16\np=487 #primes 7 f's [1, 1, 5, 5, 5, 5, 5] #aff pts 500 zero-hist [496, 4, 0] img rank 2 | global dim 12\np=491 #primes 5 f's [2, 5, 5, 5, 10] #aff pts 482 zero-hist [482, 0, 0] img rank 1 | global dim 9\np=499 #primes 5 f's [1, 2, 8, 8, 8] #aff pts 483 zero-hist [481, 2, 0] img rank 1 | global dim 6\np=503 #primes 17 f's [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] #aff pts 527 zero-hist [517, 10, 0] img rank 4 | global dim 4\np=509 #primes 7 f's [1, 1, 5, 5, 5, 5, 5] #aff pts 518 zero-hist [518, 0, 0] img rank 2 | global dim 4\np=521 #primes 5 f's [1, 4, 4, 6, 12] #aff pts 518 zero-hist [516, 2, 0] img rank 1 | global dim 4\np=523 #primes 9 f's [1, 1, 1, 2, 2, 2, 6, 6, 6] #aff pts 514 zero-hist [512, 2, 0] img rank 2 | global dim 4\nFINAL fake Selmer dim (norm+good primes+2): 2\nSelmer basis: [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]\n## 1.1.4e_dyadic_points.gp\ndyadic (e,f): [[10, 1], [16, 1], [1, 1]]\nxA mod 2^36 = 29760316588\nwA mod 2^36 = 59134464016\nrank of four source points: 4\nrank of G0,G1: 2\n" }, { "path": "anc/code/1.1.4/expected/1.1.4f.txt", "size_bytes": 2717, "sha256": "de2415bd7798070e4a27464c924af42fbed046fc3ecdd7045680e654935a6392", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.4f_divisors.gp; gp -q 1.1.4f_residual.gp; gp -q 1.1.4fg_logs_even.gp (run here 14 Oct 2026; PARI 2.15.4)\n## 1.1.4f_divisors.gp\nx+2y restricted: [y, 3; y + 8, 1]\ny=0: [x - 1, 1; x, 1; x + 1, 1]\nx(y) at P1 first terms: 1 + y - 3/2*y^2 + 4*y^3 - 101/8*y^4 + 93/2*y^5 + O(y^6)\nkernel dim: 1\nf10 = -13043*x^2 + (27304*y^2 + 22862*y + 19496)*x + (-5780*y^3 - 47008*y^2 - 16272*y - 6453)\nvaluation at P1: 7\nRes_x factor: [y, 7; 20355361790464*y^3 + 44763113579296*y^2 + 24093145816861*y + 26194544526168, 1]\n## 1.1.4f_residual.gp\nfactor c: Mat([20355361790464*y^3 + 44763113579296*y^2 + 24093145816861*y + 26194544526168, 1]) irreducible: 1\nc content/2-val of coeffs: [3, 0, 5, 9]\nnewton polygon slopes 2: [3, -9/2, -9/2]\n[(1 + O(2^60))*y + (2^3 + 2^4 + 2^5 + 2^8 + 2^13 + 2^14 + 2^16 + 2^17 + 2^18 + 2^19 + 2^20 + 2^21 + 2^22 + 2^24 + 2^26 + 2^29 + 2^30 + 2^33 + 2^38 + 2^40 + 2^42 + 2^46 + 2^48 + 2^49 + 2^50 + 2^51 + 2^53 + 2^54 + 2^56 + 2^59 + O(2^60)), 1; (2^9 + O(2^60))*y^2 + (2^5 + 2^7 + 2^8 + 2^9 + 2^11 + 2^12 + 2^15 + 2^16 + 2^17 + 2^18 + 2^19 + 2^20 + 2^23 + 2^25 + 2^26 + 2^27 + 2^29 + 2^30 + 2^31 + 2^35 + 2^37 + 2^40 + 2^41 + 2^44 + 2^45 + 2^46 + 2^47 + 2^48 + 2^49 + 2^50 + 2^54 + 2^55 + 2^56 + 2^58 + 2^59 + O(2^60))*y + (1 + 2^4 + 2^5 + 2^6 + 2^7 + 2^10 + 2^14 + 2^15 + 2^19 + 2^20 + 2^21 + 2^23 + 2^26 + 2^27 + 2^29 + 2^31 + 2^32 + 2^34 + 2^35 + 2^36 + 2^38 + 2^40 + 2^41 + 2^42 + 2^43 + 2^45 + 2^46 + 2^48 + 2^52 + 2^53 + 2^54 + 2^55 + 2^57 + O(2^60)), 1]\ngcd degree: 1\nx = 93188552/76623801*y^2 + 144556901/153247602*y - 10271025/25541267\n## 1.1.4fg_logs_even.gp\neven branch check: 1\neven chart t-coeffs (deg1..4) for omega_0,1,2: \n [2, 0, 32, 0]\n [0, 2, 0, 48]\n [0, -4, 0, -128]\neven tail bound n-v(n) holds: 1\nv2(log G0) = [1, 3, 4]\nP1 branch check: 1\nv2(y1) = 3\nx(Q1) mod 64 = 41 v2(x(Q1)-1) = 3\nC1 at Q1: 200\nbranch agreement v2: 124\ninf branch check: 1\ninf forms valuations in t: [4, 1, 0]\ninf forms first coeffs: [[1, 0, 0, 0], [1, 0, 0, 0], [1, 0, 0, 0]]\ninf forms integral: 1\nv2 of norm of x on pair: -12 (=> v(x) = -6)\nv2 norm t: 3\nbranch agreement (norm val): 186\nv2(log G1) = [-1, 1, 1]\nannihilator primitive mod 8 (scaled so that a1 = 1 mod 8 unit-normalized): \n a/a1 mod 8 = [4, 1, 2] (valuations [2, 0, 1])\n check a.L0 = 188 a.L1 = 186\nv2(Delta) = 2 products: 2 3\nL0 mod 2^20 (scaled): [2 + 2^9 + 2^18 + O(2^20), 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 + 2^9 + 2^12 + 2^13 + 2^14 + 2^15 + 2^16 + 2^17 + 2^18 + O(2^20), 2^4 + 2^15 + 2^17 + 2^18 + O(2^20)]\nL1: [2^-1 + 2 + 2^2 + 2^6 + 2^7 + 2^10 + 2^11 + 2^12 + 2^14 + 2^16 + 2^19 + O(2^20), 2 + 2^3 + 2^8 + 2^9 + 2^11 + 2^12 + 2^13 + 2^16 + 2^18 + O(2^20), 2 + 2^6 + 2^9 + 2^10 + 2^11 + 2^14 + 2^15 + 2^16 + 2^17 + O(2^20)]\n" }, { "path": "anc/code/1.1.4/expected/1.1.4g.txt", "size_bytes": 880, "sha256": "3679cd0ac2f317d9ab4b5888ffcbfe9c34e4148abb101a42ba8d00e246d58e22", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.4fg_logs_even.gp (even chart; also writes work/logs4230.txt); gp -q 1.1.4g_odd.gp (run here 14 Oct 2026; PARI 2.15.4)\n## 1.1.4fg_logs_even.gp (even-chart lines)\neven branch check: 1\neven chart t-coeffs (deg1..4) for omega_0,1,2: \n [2, 0, 32, 0]\n [0, 2, 0, 48]\n [0, -4, 0, -128]\neven tail bound n-v(n) holds: 1\n## 1.1.4g_odd.gp\na vals [2, 0, 1]\neps=1 v bound j-1: 1 Dinv bound j+1: 1 pullback identity: [60, 61, 60]\n v(C_eps) = 1\n [t]H = C/2? 186 [t^2]H = a1+a2-3eC? 185\n vals of [t^1..t^8]H: [0, 0, 5, 4, 5, 8, 9, 9]\n tail m - v(m): 1\n I0/(-2) = t + (coeffs >=1): 1 I2/(-2) = eps t + (>=1): 1\neps=-1 v bound j-1: 1 Dinv bound j+1: 1 pullback identity: [60, 61, 60]\n v(C_eps) = 1\n [t]H = C/2? 186 [t^2]H = a1+a2-3eC? 185\n vals of [t^1..t^8]H: [0, 0, 5, 4, 5, 8, 9, 9]\n tail m - v(m): 1\n I0/(-2) = t + (coeffs >=1): 1 I2/(-2) = eps t + (>=1): 1\n" }, { "path": "anc/code/1.1.5/data/classgroup_params.json", "size_bytes": 1166, "sha256": "37859ad2cb61238cadbbf058de3c38bdc2b6d9ef97fe02a22064e195fba42dd5", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4+y^3+2x+y=0\",\n \"section\": \"1.1.5\",\n \"polynomial\": \"x^27+480*x^19-2688*x^18-34560*x^11-141312*x^10-162816*x^9-16384*x^3+49152*x-32768\",\n \"field_discriminant\": \"2358991882981759572239090895731690094807492534992896\",\n \"signature\": [3, 12],\n \"principal_bound\": 6000000,\n \"support\": 100000000,\n \"window_heights\": [5181962372, 6311858993, 7082038554, 7703692998, 8220078449, 8692603195, 9088361045, 9427749567, 9707635443, 9949386119, 10125058229, 10303537565, 10457878504, 10559380008, 10636388773, 10704507827, 10764131785, 10841370773, 10900824038, 10938338825, 10968897826, 10987177952, 11007537949, 11022682773, 11035105903, 11043717184, 11045068646, 11049404886, 11057803339, 11061259043, 11062652266, 11061909171, 11061909171, 11062652266, 11061259043, 11057803339, 11049404886, 11045068646, 11043717184, 11035105903, 11022682773, 11007537949, 10987177952, 10968897826, 10938338825, 10900824038, 10841370773, 10764131785, 10704507827, 10636388773, 10559380008, 10457878504, 10303537565, 10125058229, 9949386119, 9707635443, 9427749567, 9088361045, 8692603195, 8220078449, 7703692998, 7082038554, 6311858993, 5181962372],\n \"precision_bits\": 224\n}\n" }, { "path": "anc/code/1.1.5/expected/1.1.5a.txt", "size_bytes": 6258, "sha256": "dbeaf9f8e1ae6fc6ea4000357bcf66ec6942c2bd2e332a23bebdd8c5e81abc79", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.5a_basic.gp; gp -q 1.1.5a_bitangent.gp; gp -q 1.1.5a_field.gp; gp -q 1.1.5a_nodes.gp; python3 1.1.5a_code_weights.py; python3 1.1.5a_quadpts.py; gp -q 1.1.5a_selmer.gp (run here 14 Oct 2026; PARI 2.15.4)\n# (the first four reviewer scripts treat 1.1.4 (source tag 4230) and 1.1.5 (4227) together)\n## 1.1.5a_basic\n4230 transport: 0\n4227 transport: 0\n0 0 0 0 \n0 0 \n0 0 0 0 \n[[-8, -16], [0, -1], [0, 0], [0, 1]]\n0 0 \n[[0, 0], [8, -16]]\nN1=14332523 [83, 1; 172681, 1]\nN2=14365291 Mat([14365291, 1])\n## 1.1.5a_bitangent\n[1, -m^3, -3*n*m^2, (-3*n^2 + 1)*m + 2, (-n^3 + n)]\n[1] degs [27]\n4230 deg27 factor matches f: 1 m^27 - 480*m^19 + 2688*m^18 - 34560*m^11 - 141312*m^10 - 162816*m^9 + 16384*m^3 - 49152*m + 32768\nMat([m^27 - 480*m^19 + 2688*m^18 - 34560*m^11 - 141312*m^10 - 162816*m^9 + 16384*m^3 - 49152*m + 32768, 1])\n[1, m^3, 3*n*m^2, (3*n^2 + 1)*m + 2, (n^3 + n)]\nMat([m^27 + 480*m^19 - 2688*m^18 - 34560*m^11 - 141312*m^10 - 162816*m^9 - 16384*m^3 + 49152*m - 32768, 1])\n4227 deg27 factor matches g: 1\nirreducible f1: 1 g2: 1\npolsturm f1 real roots: 3 g2: 3\n## 1.1.5a_field\n1 0 1 1\nK1 sig [3, 12] disc [2, 28; 83, 6; 172681, 6] 2326889515985953907282417842991419362237373569040384\n claimed 2326889515985953907282417842991419362237373569040384 eq 1 eq2 1\n index 153123521071186100891420217159366171233263755589691294321297510094437772155909308416\n certify K1: []\nK2 sig [3, 12] disc [2, 28; 14365291, 6]\n claimed eq 1 index 143774148917985229695588190751527906944318305186261454043913068769140747733481553920\n certify K2: []\nK1 primes over 2 (e,f): [[10, 1], [16, 1], [1, 1]]\nK2 primes over 2 (e,f): [[10, 1], [16, 1], [1, 1]]\nK1 ram 83: [[1, 1], [2, 1], [2, 1], [1, 2], [1, 4], [1, 4], [1, 4], [2, 4]]\nK1 ram 172681: [[2, 1], [1, 1], [2, 1], [1, 1], [1, 1], [1, 2], [1, 2], [2, 2], [2, 2], [1, 2], [1, 2], [1, 2], [1, 2]]\nK2 ram q: [[1, 1], [2, 1], [1, 2], [2, 2], [2, 3], [1, 3], [1, 3], [1, 6]]\n## 1.1.5a_nodes\n4230: F(xc,yc) = -3482803089/2097152 = [-1, 1; 2, -21; 3, 5; 83, 1; 172681, 1]\n 4x+9y: 0\n p=83: v(F)=1 v(Fx)=1 v(Fy)=1 v(Hess)=0\n p=172681: v(F)=1 v(Fx)=1 v(Fy)=1 v(Hess)=0\n F_p-rational affine sing pts at 83: 1\n F_p-rational affine sing pts at 172681: 1\n gcd degree in y at 83: 1\n gcd degree in y at 172681: 1\n4227: G(c) = [-1, 1; 2, -21; 3, 5; 14365291, 1] v_q(G)=1 v(Gu)=1 v(Gz)=1 v(Hess)=0\n identity 12F-4uFu-3zFz = 8*x + 18*y\n gcd degree: 1\n## 1.1.5a_code_weights\nnonzero isotropic: 27\nweights: [12, 16] injective: True\nsum of iso vectors: [0, 0, 0, 0, 0, 0]\n## 1.1.5a_quadpts.py (stderr; writes work/quadpts4227.gp)\nok 2 (0, 1) (0, 0) -> (958659060294568348, 833024229779354350)\nok 3 (0, 1) (1, 1) -> (808902289745023821, 1087834173394646197)\nfail -1 (0, 1) (0, 0) non-unit derivative\nok -2 (0, 1) (0, 0) -> (783028527401107676, 132496620921687758)\nok 6 (0, 1) (0, 0) -> (916321989721940284, 532887801035884814)\nok -6 (0, 1) (0, 0) -> (598510921906763004, 102290909193788590)\nok 2 (0, 2) (0, 0) -> (83928708615051200, 896776852254265468)\nfail -1 (2, 1) (0, 0) non-unit derivative\nok 10 (0, 1) (0, 0) -> (386223388490643900, 621940370957295918)\nok -10 (0, 1) (0, 0) -> (707493969853035516, 559239515548249230)\nfail 3 (1, 1) (0, 0) non-unit derivative\nok 3 (0, 2) (0, 0) -> (756515140396292928, 1117285837098810348)\nfail -5 (0, 1) (1, 0) non-unit derivative\nok 5 (1, 1) (0, 0) -> (139444826717153606, 1117314861088252454)\nok -3 (1, 1) (0, 0) -> (32834758736165062, 342380008494976518)\nfail 3 (1, 0) (0, 1) (326381633897174552, 179470186037992459)\nTeX sqrt2 point u = 25997429148+66996318958*s mod 2^36; ours: [25997429148, 66996318958]\nTeX theta point u = 37685859149+46300394677*th mod 2^36; ours: [37685859149, 46300394677]\n## 1.1.5a_selmer.gp\ndyadic (e,f): [[10, 1], [16, 1], [1, 1]]\nK(S,2) basis size: 18\nbasis elements supported on the primes above 2: 1\ndim of prod K_P^*/squares: 33\nindependence rank of basis via dyadic classes: 18\n(0,0) vals [0, 0, 6] cumulative rank 1\n(-16,8) vals [0, 0, 6] cumulative rank 1\n(u,2) vals [0, 0, 4] cumulative rank 1\n(u,4) vals [0, 0, 6] cumulative rank 1\n(u,6) vals [0, 0, 4] cumulative rank 1\n(u,8) vals [0, 0, 6] cumulative rank 1\n(u,10) vals [0, 0, 4] cumulative rank 1\n(u,12) vals [0, 0, 6] cumulative rank 1\ninf t=2 vals [0, 0, 0] cumulative rank 2\ninf t=4 vals [0, 0, 0] cumulative rank 2\ninf t=6 vals [0, 0, 0] cumulative rank 2\ninf t=8 vals [0, 0, 0] cumulative rank 2\ninf t=10 vals [0, 0, 0] cumulative rank 2\ninf t=12 vals [0, 0, 0] cumulative rank 2\nquad [2, 958659060294568348, 833024229779354350, 0, 1, 60] vals [0, 0, 4] cumulative rank 3\nquad [3, 808902289745023821, 1087834173394646197, 0, 1, 60] vals [0, 0, 0] cumulative rank 4\nquad [-2, 783028527401107676, 132496620921687758, 0, 1, 60] vals [0, 0, 4] cumulative rank 4\nquad [6, 916321989721940284, 532887801035884814, 0, 1, 60] vals [0, 0, 4] cumulative rank 4\nquad [-6, 598510921906763004, 102290909193788590, 0, 1, 60] vals [0, 0, 4] cumulative rank 4\nquad [2, 83928708615051200, 896776852254265468, 0, 2, 60] vals [0, 0, 14] cumulative rank 4\nquad [10, 386223388490643900, 621940370957295918, 0, 1, 60] vals [0, 0, 4] cumulative rank 4\nquad [-10, 707493969853035516, 559239515548249230, 0, 1, 60] vals [0, 0, 4] cumulative rank 4\nquad [3, 756515140396292928, 1117285837098810348, 0, 2, 60] vals [0, 0, 8] cumulative rank 4\nquad [5, 139444826717153606, 1117314861088252454, 1, 1, 60] vals [0, 0, 8] cumulative rank 4\nquad [-3, 32834758736165062, 342380008494976518, 1, 1, 60] vals [0, 0, 8] cumulative rank 4\ndyadic image rank: 4\nafter norm: dim 16\np=487 #primes 9 f's [1, 2, 2, 2, 4, 4, 4, 4, 4] #aff pts 479 zero-hist [479, 0, 0] img rank 2 | global dim 11\np=491 #primes 3 f's [9, 9, 9] #aff pts 463 zero-hist [463, 0, 0] img rank 0 | global dim 9\np=499 #primes 7 f's [1, 1, 5, 5, 5, 5, 5] #aff pts 506 zero-hist [504, 2, 0] img rank 2 | global dim 6\np=503 #primes 7 f's [1, 1, 5, 5, 5, 5, 5] #aff pts 504 zero-hist [500, 4, 0] img rank 2 | global dim 4\np=509 #primes 3 f's [9, 9, 9] #aff pts 499 zero-hist [499, 0, 0] img rank 0 | global dim 4\np=521 #primes 9 f's [1, 2, 2, 2, 4, 4, 4, 4, 4] #aff pts 505 zero-hist [503, 2, 0] img rank 2 | global dim 4\np=523 #primes 5 f's [3, 6, 6, 6, 6] #aff pts 537 zero-hist [537, 0, 0] img rank 0 | global dim 4\nFINAL fake Selmer dim (norm+good primes+2): 2\n" }, { "path": "anc/code/1.1.5/expected/1.1.5b.txt", "size_bytes": 570, "sha256": "7b1a76b8df0a66d530a4344db7562d93316f85412cce66c8260980b8f9fa1570", "mode": 420, "encoding": "utf-8", "text": "# SLICE: python3 ../common/h31_classgroup/count_ideals.py data/classgroup_params.json --hi 2000000 --out work/counts_2_2000000.npz (run here 14 Oct 2026, PARI 2.15.4 / python-flint 0.9.0; 32 s)\n# reference: our earlier full count restricted to p <= 2*10^6 gives 149426\nRANGE 2 2000000 SUPPORT 100000000 RATIONAL_PRIMES 148933 DISTINCT_NORMS 81143 PRIME_IDEALS 149426 SHA256 956b195401bdc7f75e2c97bfeb507be37998cd9fdfdc22a274793759f87b2f58 SECONDS 31.4\n# FULL (not run here): expected RANGE 2 99999999 SUPPORT 100000000 RATIONAL_PRIMES 5761455 ... PRIME_IDEALS 5764533\n" }, { "path": "anc/code/1.1.5/expected/1.1.5c.txt", "size_bytes": 878, "sha256": "d33691265caf4e93457b1aabd159c709c89d5e8344f02dee9bf87ce3529d7fb4", "mode": 420, "encoding": "utf-8", "text": "# SLICE: python3 ../common/h31_classgroup/witnesses.py data/classgroup_params.json --lo 2 --hi 20000 --out work/witnesses_2_20000.jsonl.gz (run here 14 Oct 2026, PARI 2.15.4 / python-flint 0.9.0; 63 s)\nWITNESSES 2468 STRICT 1394 DIRECT 1074 BY_DEGREE {\"1\": 2127, \"2\": 293, \"3\": 36, \"4\": 5, \"6\": 7} BOUND 6000000 RANGE 2 20000 SECONDS 62.6\n# python3 ../common/h31_classgroup/check_witnesses.py data/classgroup_params.json work/witnesses_2_20000.jsonl.gz --lo 2 --hi 20000\nALL 2468 PRIME IDEALS OF NORM <= 6000000 OVER p IN [2, 20000] HAVE VALID WITNESSES; COFACTOR_ONE 1075 COFACTOR_GT_ONE 1393 BY_DEGREE {\"1\": 2127, \"2\": 293, \"3\": 36, \"4\": 5, \"6\": 7} WITNESSES_USED 2468 SECONDS 6.8\n# reference: 2468 prime ideals of norm <= 6000000 lie over p <= 20000\n# FULL (not run here): expected ALL 412122 PRIME IDEALS OF NORM <= 6000000 OVER p IN [2, 6000000] HAVE VALID WITNESSES ...\n" }, { "path": "anc/code/1.1.5/expected/1.1.5d.txt", "size_bytes": 1115, "sha256": "6d10fbd99b04a971954d1d32936d5fbbab96adb3d1b9157fb3a304d03f098834", "mode": 420, "encoding": "utf-8", "text": "# python3 ../common/h31_classgroup/bound.py data/classgroup_params.json COUNTS.npz (run here 14 Oct 2026, python-flint 0.9.0 Arb; 80 s)\n# COUNTS.npz = complete table of all prime ideals of norm < support, from our earlier independent count of\n# 14 Oct 2026 (same method as count_ideals.py), converted to the .npz format of count_ideals.py\ndegree = 27\nsignature = [3, 12]\nsupport_count_bound = 100000000\nprincipal_bound = 6000000\ncells = 64\nprecision_bits = 224\nexp_terms_dropped = false\nprime_ideals_norm_below_support = 5764533\nprime_ideals_proved_principal = 412122\nprime_power_terms = 3124933\nprime_power_terms_with_multiplicity = 5765911\nknot_straddling_terms = 0\narchimedean = \"[-1.24127279676579517746176469946 +/- 3.92e-30]\"\nprime_sum = \"[1.24149965388218131663346513851 +/- 2.15e-30]\"\npositive_part = \"[1.257664534387073353968802 +/- 4.06e-25]\"\nnegative_part = \"[-0.01616488050489203733533646 +/- 3.81e-27]\"\nB = \"[0.0002268571163861391717004390517705556908477 +/- 2.06e-44]\"\nB_rigorously_positive = true\nseconds = 78.9\nB_INTERVAL [0.0002268571163861391717004390517705556908477 +/- 2.06e-44] POSITIVE True\n" }, { "path": "anc/code/1.1.5/expected/1.1.5e.txt", "size_bytes": 2288, "sha256": "12b0ffb050a6cf1496130594d122c4e560d26dc4aca26611ad0e89528775681c", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.5ef_logs.gp; gp -q 1.1.5e_hP_check.gp (run here 14 Oct 2026; PARI 2.15.4)\n## 1.1.5ef_logs.gp\nP branch ok: 1\n omega_0 t-coeffs 1..4: [2, 0, -32, 0]\n omega_1 t-coeffs 1..4: [0, 2, 0, -48]\n omega_2 t-coeffs 1..4: [0, -4, 0, 128]\ntail bound n-v(n): 1\nu+2z restricted: [y - 8, 1; y, 3]\nv2(L_P) = [1, 3, 4] L_P mod 2^16: [510, 3064, 32784]\ndim L(31O) basis: 29\nD branch ok: 1\nkernel dim: 1\ncoef of u*z^9 (weight 31): -3369112053869955277952029095901631536651606803678220426035987386060\nRes factors: [[2, 14], [3, 1]]\nqD = 38242508024299600544017761235254786151850570736148104512318377990800005119178040428804794262030813092011711458999012075187512554397059834034629040877593917172603835337265441872553698629057459049016000*y^3 - 8212613072069614279954486152216333544486557868333829409457747623174217084747166335366692804997676363725520673540160297538368308034404603629997461461837328966442367304543843064271268138062848333464937333*y^2 - 2297700595120511590640056710677709900888579794262780003255060924508055212078357046572676202421309076758841177996884747531100066498445452133450845977018209102809501465207314074021793282734301534808887770*y - 1460796298781902544734985776019362893323023923150334017884362587936785138788431648424660577288658322606866101749889090854218091783706289706189708014189703452816283238397779558239560316916868853965540440 irreducible: 1\nqD root valuations (newton): [2, 1, -6]\ngcd deg 1\nroots v: [-6, 1, 2]\ninf forms: vals [4, 1, 0] TeX says -(w,t,1)/(1+3(1+2t)w^2) dt: diff [60, 57, 56]\n endpoint v(z)=-6 v(u)=-8 curve 177\n inf: v(t)=2 v(w)=8 branch 123\n endpoint v(z)=1 v(u)=2 curve 210\n on P-branch to 63\n endpoint v(z)=2 v(u)=3 curve 212\n on P-branch to 123\nv2(L_D) = [0, 0, 2] L_D mod 2^16: [12669, 59033, 38772]\nannihilator normalized a2=1, mod 8: [0, 4, 1] vals [3, 2, 0]\n## 1.1.5e_hP_check.gp\nh_P kernel dim: 1\ncoef u*z^9: 1 ord at P: 28\nRes factors (deg,mult): [[1, 28], [3, 1]]\nqP irreducible: 1 root vals: [5, 3, 3]\nrational endpoint v(z)=5 v(u)=6 on P-branch: 303\npair: v(N(z))=6 v(N(u))=0 v(N(u^2+1))=8\n iL^2+1 norm val: 1028 v(N(u - iL)) = 6\nQ chart branch ok: 1\npullback identity: [60, 61, 60]\nQ-chart form coefficients integral: 1\nL_P via h_P route mod 2^16: [510, 3064, 32784] (u+2z route gave [510, 3064, 32784])\n" }, { "path": "anc/code/1.1.5/expected/1.1.5f.txt", "size_bytes": 251, "sha256": "354e46d49554f3c5f06e5c05f7fa66840fbd854c6f5b4867193cc18ee5b6f88b", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.5ef_logs.gp (first part: the P-disk z = 2t) (run here 14 Oct 2026; PARI 2.15.4)\nP branch ok: 1\n omega_0 t-coeffs 1..4: [2, 0, -32, 0]\n omega_1 t-coeffs 1..4: [0, 2, 0, -48]\n omega_2 t-coeffs 1..4: [0, -4, 0, 128]\ntail bound n-v(n): 1\n" }, { "path": "anc/code/1.1.6/data/001457_descent_exact_input.json", "size_bytes": 47159, "sha256": "9218ec502a5a379defc08071f1eab17c2e7bdb26ff3bf7c14df1948ab392492d", "mode": 420, "encoding": "utf-8", "text": "{\n \"id\": \"L1024-001457\",\n \"field_polynomial_coefficients\": [\n \"-4096\",\n \"-4096\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"-8192\",\n \"4096\",\n \"0\",\n \"-40704\",\n \"23552\",\n \"-3840\",\n \"0\",\n \"0\",\n \"0\",\n \"1280\",\n \"0\",\n \"0\",\n \"-1344\",\n \"-160\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"1\"\n ],\n \"bitangent_intercept_coefficients\": [\n \"-15646107354029208751910524705/50042811392289008316619812451\",\n \"9255613498099861054182232518/50042811392289008316619812451\",\n \"-8622463765373763408766102644/50042811392289008316619812451\",\n \"4642144963812620878722417432/50042811392289008316619812451\",\n \"400797044277927795546384294625/200171245569156033266479249804\",\n \"-336476144189212715447089715273/200171245569156033266479249804\",\n \"118237737748036765483243552367/100085622784578016633239624902\",\n \"-42448899108514755881103220761/50042811392289008316619812451\",\n \"29093038044548649413662843598/50042811392289008316619812451\",\n \"-9948855785060321666812151956/50042811392289008316619812451\",\n \"-9156379395634999660497344379/200171245569156033266479249804\",\n \"803804384632544529741686304/50042811392289008316619812451\",\n \"-1272871490397468095502555552/50042811392289008316619812451\",\n \"253224672772805910741316093179/3202739929106496532263667996864\",\n \"-1000225340764285227559318906/50042811392289008316619812451\",\n \"8272759408843603056701588811/400342491138312066532958499608\",\n \"-2088652827438862162347999669/200171245569156033266479249804\",\n \"784344988316226695314103691/100085622784578016633239624902\",\n \"56010000914540352312310919/50042811392289008316619812451\",\n \"10624781320449064747055433/1601369964553248266131833998432\",\n \"581971759584416438919273/800684982276624133065916999216\",\n \"1038538414803009801920553/400342491138312066532958499608\",\n \"-1275628338715438646681352327/25621919432851972258109343974912\",\n \"181194503542845916392477027/12810959716425986129054671987456\",\n \"-109248250919153896526648733/6405479858212993064527335993728\",\n \"31370097124274663951954787/3202739929106496532263667996864\",\n \"-11204365684859965803160093/1601369964553248266131833998432\"\n ],\n \"S_unit_candidates\": [\n [\n \"-1\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\"\n ],\n [\n \"48852809885596229654867413221/50042811392289008316619812451\",\n \"1543730793882889180589631650/150128434176867024949859437353\",\n \"6616967196544606001988202279/50042811392289008316619812451\",\n \"-49993645891002585632274947377/100085622784578016633239624902\",\n \"-450679814507982808285691921/150128434176867024949859437353\",\n \"424777882070085151123261363645/600513736707468099799437749412\",\n \"1784047508659893129753453384209/600513736707468099799437749412\",\n \"-1702311745725214984438289049865/600513736707468099799437749412\",\n \"519945366767175442315512389170/150128434176867024949859437353\",\n \"-3825316494236477272065230089411/2402054946829872399197750997648\",\n \"164206205305193287629673264351/600513736707468099799437749412\",\n \"1800353277340736660345441765/300256868353734049899718874706\",\n \"-123780382065202059902994130359/800684982276624133065916999216\",\n \"12787828857238207071175150897/2402054946829872399197750997648\",\n \"-433715856729482871926772323383/4804109893659744798395501995296\",\n \"345627290149116420435185865725/3202739929106496532263667996864\",\n \"-9856663040056205861492377115/600513736707468099799437749412\",\n \"819734933105180797827792683255/9608219787319489596791003990592\",\n \"101518782171678059835511868161/9608219787319489596791003990592\",\n \"-2190490625461272309568935/800684982276624133065916999216\",\n \"-3522562550201298505951265/2402054946829872399197750997648\",\n \"489750189335306441853869699/12810959716425986129054671987456\",\n \"39242983773579057615252573/3202739929106496532263667996864\",\n \"35884178882382113853600825/12810959716425986129054671987456\",\n \"-2064925579189563085131850565/25621919432851972258109343974912\",\n \"279554364245456075649391425/12810959716425986129054671987456\",\n \"-5077243549678372390881900719/76865758298555916774328031924736\"\n ],\n [\n \"-98133942526003171102359982238/50042811392289008316619812451\",\n \"40140403111443923186517157475/50042811392289008316619812451\",\n \"19955143570566019886682443226/50042811392289008316619812451\",\n \"-24211791106218649992588618828/50042811392289008316619812451\",\n \"12408871955031081609850663784/50042811392289008316619812451\",\n \"440378836291332375165342168981/100085622784578016633239624902\",\n \"-934580806652673811222139969699/200171245569156033266479249804\",\n \"323175124665306622024831145673/100085622784578016633239624902\",\n \"-113481782920372695749380033367/50042811392289008316619812451\",\n \"597651532051855775177841450647/800684982276624133065916999216\",\n \"-129831108909221901647616522639/800684982276624133065916999216\",\n \"-9647256892405967838989936271/50042811392289008316619812451\",\n \"2761259122317678175339603008/50042811392289008316619812451\",\n \"-2916569011321623097547246624/50042811392289008316619812451\",\n \"622495890618958159981587164063/3202739929106496532263667996864\",\n \"-40170000208489797467369490183/800684982276624133065916999216\",\n \"17055406359504669316781666277/400342491138312066532958499608\",\n \"-6857802057289232144742083003/200171245569156033266479249804\",\n \"-60418160079706651758720253759/12810959716425986129054671987456\",\n \"101470849683045195260216691/3202739929106496532263667996864\",\n \"45458499252339785756746791/1601369964553248266131833998432\",\n \"3492774554538368503358151/800684982276624133065916999216\",\n \"2739576804198786563875911/400342491138312066532958499608\",\n \"-2993119257410700040769769531/25621919432851972258109343974912\",\n \"656532363983186562684332589/12810959716425986129054671987456\",\n \"-242109206767168596905956371/6405479858212993064527335993728\",\n \"96044738415640431530146669/3202739929106496532263667996864\"\n ],\n [\n \"40598527450291460098952066085/50042811392289008316619812451\",\n \"-7061208312898846054030856734/150128434176867024949859437353\",\n \"-19512018257384317731027933733/50042811392289008316619812451\",\n \"-117318335758024166404128390109/100085622784578016633239624902\",\n \"100951117964590985670438501643/150128434176867024949859437353\",\n \"206756817880924571393768978077/600513736707468099799437749412\",\n \"-2647401694966614285792115821583/600513736707468099799437749412\",\n \"1221647715013861826751612325405/300256868353734049899718874706\",\n \"-369375789018347676885698152207/300256868353734049899718874706\",\n \"138673029751633734861349549613/2402054946829872399197750997648\",\n \"20334623423803089883996052887/600513736707468099799437749412\",\n \"4910121657274176413383724873/300256868353734049899718874706\",\n \"11798870261352887769446942685/100085622784578016633239624902\",\n \"-162512164956133740122303545727/2402054946829872399197750997648\",\n \"7096790377990341352107987401/4804109893659744798395501995296\",\n \"-209056722624167909612625184883/1601369964553248266131833998432\",\n \"400192769174041554455194986685/9608219787319489596791003990592\",\n \"129444049802397355763584754687/9608219787319489596791003990592\",\n \"7547661100455335611599812017/9608219787319489596791003990592\",\n \"-1909515728444472887529559/800684982276624133065916999216\",\n \"-683772424767851069293272773/38432879149277958387164015962368\",\n \"97268870903441992885697291/12810959716425986129054671987456\",\n \"28141813663348414386556089/3202739929106496532263667996864\",\n \"-87607710831941048959515367/12810959716425986129054671987456\",\n \"5024703045041158582613503085/51243838865703944516218687949824\",\n \"-273347249804486392590366687/6405479858212993064527335993728\",\n \"-378829496587062786683723027/76865758298555916774328031924736\"\n ],\n [\n \"19292955549678216676343424482/50042811392289008316619812451\",\n \"-20177194587781268547355220020/50042811392289008316619812451\",\n \"-8211157545826928507679260226/50042811392289008316619812451\",\n \"11226914938927619251639495548/50042811392289008316619812451\",\n \"-5645817928322750901433492744/50042811392289008316619812451\",\n \"-95330200982666705389154700816/50042811392289008316619812451\",\n \"426030494099939421478561483503/200171245569156033266479249804\",\n \"-146938810065383769541206469101/100085622784578016633239624902\",\n \"51634395623987591413313005107/50042811392289008316619812451\",\n \"-16479775812470735615407178208/50042811392289008316619812451\",\n \"69412968818084633474674186587/800684982276624133065916999216\",\n \"4377408940698611867719148655/50042811392289008316619812451\",\n \"-1367441558016682703220141888/50042811392289008316619812451\",\n \"1238848648224078652134887584/50042811392289008316619812451\",\n \"-273358149655552326901584028923/3202739929106496532263667996864\",\n \"21280152174411962981331303219/800684982276624133065916999216\",\n \"-6842405545700012325611805177/400342491138312066532958499608\",\n \"3351375695880366074000477223/200171245569156033266479249804\",\n \"28715468492352797632944623307/12810959716425986129054671987456\",\n \"-64939370101141007419328655/3202739929106496532263667996864\",\n \"-23776726762786377725418051/1601369964553248266131833998432\",\n \"-1940506590665305319630691/800684982276624133065916999216\",\n \"-1239833280343223060929251/400342491138312066532958499608\",\n \"1286225787459929773007985543/25621919432851972258109343974912\",\n \"-329941442029132822851253089/12810959716425986129054671987456\",\n \"101100646284972066381778911/6405479858212993064527335993728\",\n \"-45909634931516801178842529/3202739929106496532263667996864\"\n ],\n [\n \"-48091131133714162785740169787/50042811392289008316619812451\",\n \"40140403111443923186517157475/50042811392289008316619812451\",\n \"19955143570566019886682443226/50042811392289008316619812451\",\n \"-24211791106218649992588618828/50042811392289008316619812451\",\n \"-187762373614124951656628586020/50042811392289008316619812451\",\n \"1040892572998800474964779918393/100085622784578016633239624902\",\n \"-1334923297790985877755098469307/200171245569156033266479249804\",\n \"-6664106512712725834243225597017/400342491138312066532958499608\",\n \"11652891396101559521476532658265/400342491138312066532958499608\",\n \"-10111510105897992004578798413867/800684982276624133065916999216\",\n \"1371453232859448347850977850891/800684982276624133065916999216\",\n \"-9647256892405967838989936271/50042811392289008316619812451\",\n \"2761259122317678175339603008/50042811392289008316619812451\",\n \"226881504870872056802721089263/400342491138312066532958499608\",\n \"-1379216565072602172683205333977/3202739929106496532263667996864\",\n \"-40170000208489797467369490183/800684982276624133065916999216\",\n \"-982677413800050497381889396363/1601369964553248266131833998432\",\n \"1741859188598065593399059732639/3202739929106496532263667996864\",\n \"940438067766073514573675995261/12810959716425986129054671987456\",\n \"101470849683045195260216691/3202739929106496532263667996864\",\n \"45458499252339785756746791/1601369964553248266131833998432\",\n \"3492774554538368503358151/800684982276624133065916999216\",\n \"2739576804198786563875911/400342491138312066532958499608\",\n \"-2993119257410700040769769531/25621919432851972258109343974912\",\n \"656532363983186562684332589/12810959716425986129054671987456\",\n \"46169064084014310766124510515/102487677731407889032437375899648\",\n \"-46969379762988514507655119043/102487677731407889032437375899648\"\n ],\n [\n \"-57054045515766300931873305682/150128434176867024949859437353\",\n \"-26846864682776624189541409402/150128434176867024949859437353\",\n \"74319560131578091003880249418/50042811392289008316619812451\",\n \"-102876133857586568315635589188/150128434176867024949859437353\",\n \"149528196895453763371829839030/50042811392289008316619812451\",\n \"-356824902665977955517059055391/150128434176867024949859437353\",\n \"-775560374915027191499769494015/300256868353734049899718874706\",\n \"1200185979189756535792866258253/150128434176867024949859437353\",\n \"-10610194593475687447667579363951/1201027473414936199598875498824\",\n \"8587523191713923795837573523865/2402054946829872399197750997648\",\n \"-1108056013555724968455229294997/2402054946829872399197750997648\",\n \"1864438301527789449174105133/400342491138312066532958499608\",\n \"24899203848399036248736172477/400342491138312066532958499608\",\n \"-390354546470815106874146762671/2402054946829872399197750997648\",\n \"851818581772530264147179380855/4804109893659744798395501995296\",\n \"-821794338652978515090914580547/9608219787319489596791003990592\",\n \"3840007022593421251986709353529/19216439574638979193582007981184\",\n \"-332598556575268720360731693683/2402054946829872399197750997648\",\n \"-750167898238612631415110061059/38432879149277958387164015962368\",\n \"-327346471162454893147387617/12810959716425986129054671987456\",\n \"-163056083947628386722874355/12810959716425986129054671987456\",\n \"1307553810356492983759930961/76865758298555916774328031924736\",\n \"-2309083392755276336312789909/76865758298555916774328031924736\",\n \"-473039607834192134145153029/38432879149277958387164015962368\",\n \"1252473530339859938774420587/19216439574638979193582007981184\",\n \"-24057335455337020689715893151/153731516597111833548656063849472\",\n \"37393917489507626675132816771/307463033194223667097312127698944\"\n ],\n [\n \"132077913780477198323400308466/50042811392289008316619812451\",\n \"-463198897209577422073287393971/150128434176867024949859437353\",\n \"-712916056465225875256348166/50042811392289008316619812451\",\n \"256946033908448763176002414079/150128434176867024949859437353\",\n \"548617082598849063593520642785/300256868353734049899718874706\",\n \"-1038612055070417912408109259931/150128434176867024949859437353\",\n \"1311856802150394082512063762781/150128434176867024949859437353\",\n \"-1289997276058730148542930591639/600513736707468099799437749412\",\n \"-418589689360555968549360703855/400342491138312066532958499608\",\n \"510070146076040493275696221041/800684982276624133065916999216\",\n \"-107790443774343086195783042971/600513736707468099799437749412\",\n \"204097635592803244371438021263/1201027473414936199598875498824\",\n \"-388921870161774684891774802271/2402054946829872399197750997648\",\n \"34731754260119318279516965747/1601369964553248266131833998432\",\n \"-495119705571104170592203808809/3202739929106496532263667996864\",\n \"92819713232932593411448848523/600513736707468099799437749412\",\n \"1310508513957781570188286818787/19216439574638979193582007981184\",\n \"-86621345867431733243068618991/4804109893659744798395501995296\",\n \"-110891315679334931109997550869/38432879149277958387164015962368\",\n \"287217215864586723806857471/6405479858212993064527335993728\",\n \"-305635733695091183713191/400342491138312066532958499608\",\n \"-87370731591736966304664053/19216439574638979193582007981184\",\n \"-1257964015966397090240962457/25621919432851972258109343974912\",\n \"3525055969531442313029815143/25621919432851972258109343974912\",\n \"-5048762956664431880634021953/38432879149277958387164015962368\",\n \"-28101436822479204267604711/800684982276624133065916999216\",\n \"676284976567264226982225259/38432879149277958387164015962368\"\n ],\n [\n \"84484284331589611982713026117/50042811392289008316619812451\",\n \"202524869292937993565063081789/150128434176867024949859437353\",\n \"-377116102792368674362834884410/150128434176867024949859437353\",\n \"-12882894039394100348039897251/100085622784578016633239624902\",\n \"587568764194944688544091482777/100085622784578016633239624902\",\n \"-618681424188987454481884158161/150128434176867024949859437353\",\n \"-461169226798164297511406406955/100085622784578016633239624902\",\n \"4213547166753532793021051499371/400342491138312066532958499608\",\n \"231477867047792787755859952401/50042811392289008316619812451\",\n \"-11540731656455604191328320237299/2402054946829872399197750997648\",\n \"964299439518925289597190713527/1201027473414936199598875498824\",\n \"155712575517553167968733666925/2402054946829872399197750997648\",\n \"838504661416091602146917072167/4804109893659744798395501995296\",\n \"-516790526087087055944895870727/4804109893659744798395501995296\",\n \"-1239485401288273301111998199229/3202739929106496532263667996864\",\n \"-650898133164792773182973991749/3202739929106496532263667996864\",\n \"1077246749740887264146493208135/4804109893659744798395501995296\",\n \"1653408736850085470332970572043/4804109893659744798395501995296\",\n \"1439621370507729074668299904067/38432879149277958387164015962368\",\n \"-230191822779107242937313215/12810959716425986129054671987456\",\n \"21251094238647172642369767/800684982276624133065916999216\",\n \"30001567283440877469357343/12810959716425986129054671987456\",\n \"-1219830742572457589783334701/12810959716425986129054671987456\",\n \"5862818963261957663405613047/76865758298555916774328031924736\",\n \"5463035847627932309530235503/38432879149277958387164015962368\",\n \"-28251550252074885504100707389/153731516597111833548656063849472\",\n \"-23998388780063208281569103035/102487677731407889032437375899648\"\n ],\n [\n \"-409654204400042608413431119585/150128434176867024949859437353\",\n \"33926746752375302586299531125/50042811392289008316619812451\",\n \"-257840281365108379490046711110/150128434176867024949859437353\",\n \"173788216110540288204198037187/100085622784578016633239624902\",\n \"-517126786443341959262283235931/150128434176867024949859437353\",\n \"721812819265077008691496231243/100085622784578016633239624902\",\n \"-11085550867240672206683435481469/600513736707468099799437749412\",\n \"19725303099900913967720903939633/600513736707468099799437749412\",\n \"-26867159578603168171014464730919/600513736707468099799437749412\",\n \"46402137228128495267108882630161/2402054946829872399197750997648\",\n \"-5933149280911427130078105534425/2402054946829872399197750997648\",\n \"-981516407039753202156527843551/2402054946829872399197750997648\",\n \"910987398320618605666954047917/1601369964553248266131833998432\",\n \"-782902419619349541608129979199/800684982276624133065916999216\",\n \"3026725820696380005668008846705/2402054946829872399197750997648\",\n \"-349238753292489199269354046353/800684982276624133065916999216\",\n \"13913916645251742330802217707379/19216439574638979193582007981184\",\n \"-4268208112871726426334101716765/4804109893659744798395501995296\",\n \"-4490680854715144405699537162885/38432879149277958387164015962368\",\n \"-171928534654271032471096775/2402054946829872399197750997648\",\n \"98297776774645016921385669/1601369964553248266131833998432\",\n \"-2352393230908875901773182683/25621919432851972258109343974912\",\n \"7110301899107799601697702351/38432879149277958387164015962368\",\n \"-20302990049773209256746275905/76865758298555916774328031924736\",\n \"27363953862883277483623173343/76865758298555916774328031924736\",\n \"-89327240065469408833303794557/153731516597111833548656063849472\",\n \"224521591816646654994621389627/307463033194223667097312127698944\"\n ],\n [\n \"-33836609401377861136682869972/150128434176867024949859437353\",\n \"65147857614648243538116999785/150128434176867024949859437353\",\n \"112466944102683794656581309920/150128434176867024949859437353\",\n \"174369400254191539610187259055/300256868353734049899718874706\",\n \"299004712348174258381620882563/300256868353734049899718874706\",\n \"183162552635903053542534405337/100085622784578016633239624902\",\n \"454359428211595761832667939849/200171245569156033266479249804\",\n \"8040471061796210752190990761535/1201027473414936199598875498824\",\n \"-260262059380932482906018124295/300256868353734049899718874706\",\n \"-4089445916373833566929973799899/2402054946829872399197750997648\",\n \"218823809395847411712549556587/800684982276624133065916999216\",\n \"-6725033224676210041207546821/800684982276624133065916999216\",\n \"-49454511347401964884215250337/1601369964553248266131833998432\",\n \"-192096344163220818677773825295/800684982276624133065916999216\",\n \"-723810479226404523315116066089/9608219787319489596791003990592\",\n \"483263833402614365046572974295/4804109893659744798395501995296\",\n \"169115704548475462561446379421/600513736707468099799437749412\",\n \"761597635041467973532463489659/4804109893659744798395501995296\",\n \"145713268651424762913944511527/9608219787319489596791003990592\",\n \"1551532019239749570068010485/38432879149277958387164015962368\",\n \"-1131896552758439158270315675/38432879149277958387164015962368\",\n \"-788234582140430119499678957/19216439574638979193582007981184\",\n \"-628337582969237167507190957/76865758298555916774328031924736\",\n \"-5019220801443978638864051807/153731516597111833548656063849472\",\n \"-5466384331780915765441660925/76865758298555916774328031924736\",\n \"-5151463508883208823701183917/25621919432851972258109343974912\",\n \"-902350918028117735223668473/9608219787319489596791003990592\"\n ],\n [\n \"438029238824658899296854983/602925438461313353212286897\",\n \"2523237546623279330591752114/1808776315383940059636860691\",\n \"6260041929863369457196171379/1808776315383940059636860691\",\n \"3430836919015702603049830933/1205850876922626706424573794\",\n \"2746047116591312562767588417/1808776315383940059636860691\",\n \"-18515414297597951845775231713/7235105261535760238547442764\",\n \"-1260593205017244173328919140/602925438461313353212286897\",\n \"-1668407900969281604990316943/3617552630767880119273721382\",\n \"17012740535776542032232815711/2411701753845253412849147588\",\n \"-119814196399381919521431425671/28940421046143040954189771056\",\n \"6900654451604018712468987613/14470210523071520477094885528\",\n \"2131708993435520054904463167/9646807015381013651396590352\",\n \"3016789966421771513288960633/9646807015381013651396590352\",\n \"14265030985007625560444462501/57880842092286081908379542112\",\n \"-9342212059657616928313087587/38587228061524054605586361408\",\n \"-2117742201519318232016189421/19293614030762027302793180704\",\n \"-1179383745297268590837659191/14470210523071520477094885528\",\n \"366609544744376728513614844/1808776315383940059636860691\",\n \"11641177142687179507507787369/463046736738288655267036336896\",\n \"-2657999927064234342865735/115761684184572163816759084224\",\n \"-18404343219196204992380407/154348912246096218422345445632\",\n \"-16868614772228946752964155/115761684184572163816759084224\",\n \"-108301608229895225957516365/926093473476577310534072673792\",\n \"27604101864321091880600843/617395648984384873689381782528\",\n \"70659353725197837607298785/926093473476577310534072673792\",\n \"63638514168168506416627529/1234791297968769747378763565056\",\n \"-290581666587824605151284423/1852186946953154621068145347584\"\n ],\n [\n \"113683623596494687625738409892/150128434176867024949859437353\",\n \"-16405748240241456530377329337/50042811392289008316619812451\",\n \"-100677248900300906679001472495/150128434176867024949859437353\",\n \"-870164807908934226537431866489/300256868353734049899718874706\",\n \"-123978408742404386027984100597/50042811392289008316619812451\",\n \"36192097137873937817878545945/50042811392289008316619812451\",\n \"2688533692861722929230186931921/600513736707468099799437749412\",\n \"-2184032136514753395564265260063/400342491138312066532958499608\",\n \"10154136342504162746690807524439/1201027473414936199598875498824\",\n \"-9231432716432054685349046553749/2402054946829872399197750997648\",\n \"154350888067813663560050026523/200171245569156033266479249804\",\n \"173196008281472403963083066597/2402054946829872399197750997648\",\n \"-306618581831487501728508977021/1201027473414936199598875498824\",\n \"-86950662369309776801143413819/1601369964553248266131833998432\",\n \"-122712001465150511679921015613/400342491138312066532958499608\",\n \"378785958923452534763075073523/3202739929106496532263667996864\",\n \"-1581322962216958282315443788441/19216439574638979193582007981184\",\n \"959894413014671014292206276255/4804109893659744798395501995296\",\n \"966586434546047577606338860945/38432879149277958387164015962368\",\n \"-142571028825889842655776143/4804109893659744798395501995296\",\n \"41715016665711160456083755/3202739929106496532263667996864\",\n \"7475650931951431065043352755/76865758298555916774328031924736\",\n \"2506165651798082533224301417/25621919432851972258109343974912\",\n \"10255610976493268302291494511/153731516597111833548656063849472\",\n \"-14752989318550407010719776617/153731516597111833548656063849472\",\n \"22329034864339175221518493717/307463033194223667097312127698944\",\n \"-48359787175573284590497702531/307463033194223667097312127698944\"\n ],\n [\n \"-68005732508194314092621380813/50042811392289008316619812451\",\n \"208674493406238994786459558468/50042811392289008316619812451\",\n \"-206785480868006539270992840053/150128434176867024949859437353\",\n \"-1092512842847985289892151999286/150128434176867024949859437353\",\n \"607708360166498259351571072259/50042811392289008316619812451\",\n \"-5198308535660746463804022464851/600513736707468099799437749412\",\n \"-387851716922424791231724437849/150128434176867024949859437353\",\n \"7371994712833628583027355862153/600513736707468099799437749412\",\n \"-4206839271957593681598746528599/400342491138312066532958499608\",\n \"2838103789254340735454939171433/800684982276624133065916999216\",\n \"-246157361337891875309814286963/600513736707468099799437749412\",\n \"44899444214529723591466904503/400342491138312066532958499608\",\n \"-328821901083802678054514626589/4804109893659744798395501995296\",\n \"-89816423832497158945289691181/800684982276624133065916999216\",\n \"281804230742574712969491390125/3202739929106496532263667996864\",\n \"-908343723826450395696016999423/4804109893659744798395501995296\",\n \"1386190135482000479709192301907/4804109893659744798395501995296\",\n \"-998775979722065583570553500955/9608219787319489596791003990592\",\n \"-644958175262464885412913212887/38432879149277958387164015962368\",\n \"-1380368148189732759319058839/9608219787319489596791003990592\",\n \"-54366689552725112231167773/3202739929106496532263667996864\",\n \"1152258082467570771374245121/6405479858212993064527335993728\",\n \"-6035102245050939976531473515/38432879149277958387164015962368\",\n \"8217312189604731607747305599/153731516597111833548656063849472\",\n \"20598851064484197798586904633/153731516597111833548656063849472\",\n \"-4432762171823098694312780285/19216439574638979193582007981184\",\n \"10756266828754349704644340307/102487677731407889032437375899648\"\n ],\n [\n \"48164313973282056963237900647/50042811392289008316619812451\",\n \"118365700101756474234762323741/150128434176867024949859437353\",\n \"-62207689073833944918505699647/50042811392289008316619812451\",\n \"-136786295560293494525424014770/150128434176867024949859437353\",\n \"-221069805072973001153497382666/150128434176867024949859437353\",\n \"402724469761908572456203516141/150128434176867024949859437353\",\n \"804380757217653622786544551871/200171245569156033266479249804\",\n \"-2773424255803951096621994230267/600513736707468099799437749412\",\n \"1348421503919381317140117159943/1201027473414936199598875498824\",\n \"4485120929831143014458871424/50042811392289008316619812451\",\n \"379804047812473607437133724923/2402054946829872399197750997648\",\n \"-20412637399032409464934821545/800684982276624133065916999216\",\n \"-152284279606905868743025818649/600513736707468099799437749412\",\n \"-52513016500221407894152322119/1201027473414936199598875498824\",\n \"102886829651746451051238871039/2402054946829872399197750997648\",\n \"567603456948247619230534584137/3202739929106496532263667996864\",\n \"-208218159131513240849580921881/6405479858212993064527335993728\",\n \"-87324075390946239491963570095/6405479858212993064527335993728\",\n \"-11623531996814523282381630613/12810959716425986129054671987456\",\n \"-900017770877877144506723373/12810959716425986129054671987456\",\n \"-214473916266195947066897671/38432879149277958387164015962368\",\n \"2561798075451017143065211681/38432879149277958387164015962368\",\n \"4781816183055065740241941781/76865758298555916774328031924736\",\n \"-870058432564223397850552999/25621919432851972258109343974912\",\n \"-9819747884080748033350899925/76865758298555916774328031924736\",\n \"12126508532352550299838317391/307463033194223667097312127698944\",\n \"842943523414668476222665967/153731516597111833548656063849472\"\n ],\n [\n \"73556056789857281330242403510/50042811392289008316619812451\",\n \"-8520102726912992153166164016/50042811392289008316619812451\",\n \"5042471801833822098055327648/50042811392289008316619812451\",\n \"252114408511568654002083242101/100085622784578016633239624902\",\n \"-197393690248989305012887453395/50042811392289008316619812451\",\n \"237878661758094610444695597648/50042811392289008316619812451\",\n \"-106122396688224834723798665962/50042811392289008316619812451\",\n \"-1990953909744241327744099053839/200171245569156033266479249804\",\n \"7163202109031927596685281276841/400342491138312066532958499608\",\n \"-3181898544657358407474509946899/400342491138312066532958499608\",\n \"453582470631445646434221379593/400342491138312066532958499608\",\n \"-1736045235394783491185504128/50042811392289008316619812451\",\n \"78655802291102994201314525609/800684982276624133065916999216\",\n \"130873515049800437751123708497/400342491138312066532958499608\",\n \"-137388901109574951434332965551/400342491138312066532958499608\",\n \"-335439646734429126977196779/50042811392289008316619812451\",\n \"-34164870944729868516611569223/100085622784578016633239624902\",\n \"1130727691140435208571202720865/3202739929106496532263667996864\",\n \"150052208277945428564650727099/3202739929106496532263667996864\",\n \"-194162222352115152944457/200171245569156033266479249804\",\n \"288666652875228050447223/100085622784578016633239624902\",\n \"-422181603740053512800460333/6405479858212993064527335993728\",\n \"17899042565819046475937277/3202739929106496532263667996864\",\n \"-38743970678055631264560003/1601369964553248266131833998432\",\n \"6302545382212848776302717/800684982276624133065916999216\",\n \"25929857968711794863787761497/102487677731407889032437375899648\",\n \"-30010787423468009935759919719/102487677731407889032437375899648\"\n ],\n [\n \"1190001506692778661752399230/50042811392289008316619812451\",\n \"-1543730793882889180589631650/150128434176867024949859437353\",\n \"-6616967196544606001988202279/50042811392289008316619812451\",\n \"49993645891002585632274947377/100085622784578016633239624902\",\n \"450679814507982808285691921/150128434176867024949859437353\",\n \"-424777882070085151123261363645/600513736707468099799437749412\",\n \"-1784047508659893129753453384209/600513736707468099799437749412\",\n \"1702311745725214984438289049865/600513736707468099799437749412\",\n \"-519945366767175442315512389170/150128434176867024949859437353\",\n \"3825316494236477272065230089411/2402054946829872399197750997648\",\n \"-164206205305193287629673264351/600513736707468099799437749412\",\n \"-1800353277340736660345441765/300256868353734049899718874706\",\n \"123780382065202059902994130359/800684982276624133065916999216\",\n \"-12787828857238207071175150897/2402054946829872399197750997648\",\n \"433715856729482871926772323383/4804109893659744798395501995296\",\n \"-345627290149116420435185865725/3202739929106496532263667996864\",\n \"9856663040056205861492377115/600513736707468099799437749412\",\n \"-819734933105180797827792683255/9608219787319489596791003990592\",\n \"-101518782171678059835511868161/9608219787319489596791003990592\",\n \"2190490625461272309568935/800684982276624133065916999216\",\n \"3522562550201298505951265/2402054946829872399197750997648\",\n \"-489750189335306441853869699/12810959716425986129054671987456\",\n \"-39242983773579057615252573/3202739929106496532263667996864\",\n \"-35884178882382113853600825/12810959716425986129054671987456\",\n \"2064925579189563085131850565/25621919432851972258109343974912\",\n \"-279554364245456075649391425/12810959716425986129054671987456\",\n \"5077243549678372390881900719/76865758298555916774328031924736\"\n ],\n [\n \"-6202890730527402458792761937/50042811392289008316619812451\",\n \"49142978575353084780248171186/150128434176867024949859437353\",\n \"-1867007052106432013926024057/50042811392289008316619812451\",\n \"-308760799509239189377608834129/100085622784578016633239624902\",\n \"444052931802145205582573144776/150128434176867024949859437353\",\n \"-1864818985323154174087461109955/600513736707468099799437749412\",\n \"3197544196513488360865923131273/600513736707468099799437749412\",\n \"-2319000848183590408795718103913/600513736707468099799437749412\",\n \"-5708852867404644291164483420971/1201027473414936199598875498824\",\n \"8280769927845512597801047754999/2402054946829872399197750997648\",\n \"-704595315914176357156582209661/1201027473414936199598875498824\",\n \"11078560511466036882113480741/300256868353734049899718874706\",\n \"-13022285309860438073774473731/50042811392289008316619812451\",\n \"330503403231840439969766692943/4804109893659744798395501995296\",\n \"769572689535509636098537968461/4804109893659744798395501995296\",\n \"429149066950304158048947773117/3202739929106496532263667996864\",\n \"-16295941237951303434335523923/600513736707468099799437749412\",\n \"-3845040744048181223270719928171/19216439574638979193582007981184\",\n \"-27896579463899087876099668921/1201027473414936199598875498824\",\n \"-4249245123070095290401539/800684982276624133065916999216\",\n \"-12444638260164131691729929/2402054946829872399197750997648\",\n \"2480284549798265756496829651/25621919432851972258109343974912\",\n \"-51044846419683249105547143/1601369964553248266131833998432\",\n \"291043185549638556933208593/12810959716425986129054671987456\",\n \"-2622731526050571604416857573/25621919432851972258109343974912\",\n \"414990986336034943477938337/12810959716425986129054671987456\",\n \"44588063407838336936822588425/307463033194223667097312127698944\"\n ],\n [\n \"-264793322119091090250847341143/150128434176867024949859437353\",\n \"-186271774523072576183854604140/150128434176867024949859437353\",\n \"119703216746160116197823745823/150128434176867024949859437353\",\n \"897843319270658928768289462897/300256868353734049899718874706\",\n \"851028115167326784570678126793/300256868353734049899718874706\",\n \"-2829660172829621525867202860879/600513736707468099799437749412\",\n \"-1336646507176775982827420636367/200171245569156033266479249804\",\n \"946791304725754526411733313981/600513736707468099799437749412\",\n \"7374889655522969134182893595443/1201027473414936199598875498824\",\n \"-8126618316654732906121143175301/2402054946829872399197750997648\",\n \"424848370296613718634169291979/2402054946829872399197750997648\",\n \"23121291000671302764157443667/800684982276624133065916999216\",\n \"1000808054341624089808732597957/2402054946829872399197750997648\",\n \"689313682994689327586024747105/2402054946829872399197750997648\",\n \"-2248825082235545532915151831823/9608219787319489596791003990592\",\n \"-481540436765641747744184888243/1601369964553248266131833998432\",\n \"-1384226648038286417299981518539/9608219787319489596791003990592\",\n \"2829902671475682990337031762453/19216439574638979193582007981184\",\n \"737702329921117749792767728373/38432879149277958387164015962368\",\n \"1042646111358280470017507089/12810959716425986129054671987456\",\n \"511770891007906974386666663/12810959716425986129054671987456\",\n \"-2818363141933428451688178143/25621919432851972258109343974912\",\n \"-9445488931869544395807829309/76865758298555916774328031924736\",\n \"3861224973771574467037942909/51243838865703944516218687949824\",\n \"16499045813718705129260679911/76865758298555916774328031924736\",\n \"3137500248555105405944626037/38432879149277958387164015962368\",\n \"-18349411226211530793222314051/153731516597111833548656063849472\"\n ],\n [\n \"-110966676050190864186527172107/150128434176867024949859437353\",\n \"-145769249616289363138264478480/150128434176867024949859437353\",\n \"317416264975185296131384146343/150128434176867024949859437353\",\n \"-23069475339994253351410859876/50042811392289008316619812451\",\n \"-710078859876896764697473280369/150128434176867024949859437353\",\n \"1088718118570721892699535465955/300256868353734049899718874706\",\n \"228385395919807837860652811094/50042811392289008316619812451\",\n \"-5468082022783481391472363329701/600513736707468099799437749412\",\n \"-448189067622001939659013964341/1201027473414936199598875498824\",\n \"4781915160491054892867601237009/2402054946829872399197750997648\",\n \"-45328114786635931849334676250/150128434176867024949859437353\",\n \"-9029273740669146590827297287/400342491138312066532958499608\",\n \"-156570198735992761889144917975/800684982276624133065916999216\",\n \"57833686721419863272519048083/800684982276624133065916999216\",\n \"301473811696246493445463693915/1601369964553248266131833998432\",\n \"1847651208907634909162815135111/9608219787319489596791003990592\",\n \"-213627344726211058372521887335/1201027473414936199598875498824\",\n \"-806789415506580063372556486969/4804109893659744798395501995296\",\n \"-220096297161946074036364676485/12810959716425986129054671987456\",\n \"-38395203441259347737295551/4804109893659744798395501995296\",\n \"-184360605620624439416096413/6405479858212993064527335993728\",\n \"761743624081307590764372655/38432879149277958387164015962368\",\n \"550358514301372858489511213/6405479858212993064527335993728\",\n \"-3723306890909057778703053973/76865758298555916774328031924736\",\n \"-3521325033383750637733904993/25621919432851972258109343974912\",\n \"45736257630169547499367221859/307463033194223667097312127698944\",\n \"32982876922688304907599627079/307463033194223667097312127698944\"\n ],\n [\n \"2441272406921477573614573738165/150128434176867024949859437353\",\n \"-1322175606230281960578282596855/150128434176867024949859437353\",\n \"1887451411595485074533916416564/150128434176867024949859437353\",\n \"-753748003904829816110847090127/50042811392289008316619812451\",\n \"4768061147741840955366067219435/300256868353734049899718874706\",\n \"-9596323430234019986320828524331/600513736707468099799437749412\",\n \"7616419339690258136564220949757/150128434176867024949859437353\",\n \"-27821030763893764866387677015971/300256868353734049899718874706\",\n \"57266406589104108271243301156803/400342491138312066532958499608\",\n \"-9639444188245023901082189299741/150128434176867024949859437353\",\n \"851889915336698818014760929675/100085622784578016633239624902\",\n \"3140654981725659369319283865821/2402054946829872399197750997648\",\n \"-4386498355843815341789368868153/2402054946829872399197750997648\",\n \"4424379768801915211118371213615/1601369964553248266131833998432\",\n \"-38790621170040194275286468904689/9608219787319489596791003990592\",\n \"4120710666646910736562232857965/3202739929106496532263667996864\",\n \"-38691592320086852925963897545185/19216439574638979193582007981184\",\n \"29675565089210598263618078769757/9608219787319489596791003990592\",\n \"7656426628411370000413022593207/19216439574638979193582007981184\",\n \"3431642519982711640547019377/12810959716425986129054671987456\",\n \"-1632387714797534231734738931/4804109893659744798395501995296\",\n \"31411325846614745917988681377/76865758298555916774328031924736\",\n \"-14340026586642613379595000175/25621919432851972258109343974912\",\n \"107320070616986011027857525289/153731516597111833548656063849472\",\n \"-159957420426789656146081374863/153731516597111833548656063849472\",\n \"498667911985106530518042919355/307463033194223667097312127698944\",\n \"-765903500495992262880367979665/307463033194223667097312127698944\"\n ],\n [\n \"334096588737718634001869975/1808776315383940059636860691\",\n \"1154007086614150508487581360/1808776315383940059636860691\",\n \"-977531273803848423303678037/1808776315383940059636860691\",\n \"-2146733854258661121758072078/1808776315383940059636860691\",\n \"89625705693518114677430989/602925438461313353212286897\",\n \"7322966570421092454989799209/7235105261535760238547442764\",\n \"-19155319229760593786416685671/7235105261535760238547442764\",\n \"1044536500220507533246282123/7235105261535760238547442764\",\n \"6712097130911706209109388246/1808776315383940059636860691\",\n \"-18986565905002436944820538845/9646807015381013651396590352\",\n \"9676380537577332571496888915/28940421046143040954189771056\",\n \"-18869874198428193193426649/4823403507690506825698295176\",\n \"2836939747759335276697392163/57880842092286081908379542112\",\n \"1690715006865776853168803357/57880842092286081908379542112\",\n \"-913560622459146880283556599/9646807015381013651396590352\",\n \"-8063383039410085736434906453/115761684184572163816759084224\",\n \"-1742239922997752819760715413/38587228061524054605586361408\",\n \"23821800036032412142362600661/231523368369144327633518168448\",\n \"1970843664674077166107209913/154348912246096218422345445632\",\n \"-726265889731834137175895/231523368369144327633518168448\",\n \"1730149852821756732346463/463046736738288655267036336896\",\n \"3609245486038543546998449/308697824492192436844690891264\",\n \"1280190848784175650231083/926093473476577310534072673792\",\n \"-1290920385139139011834297/231523368369144327633518168448\",\n \"97824615266612713130807639/1852186946953154621068145347584\",\n \"101140123741331403457611587/3704373893906309242136290695168\",\n \"-73974206000384994585087119/926093473476577310534072673792\"\n ],\n [\n \"-76643958211628485011308131004/50042811392289008316619812451\",\n \"-25787351041489469674901934823/150128434176867024949859437353\",\n \"-171223662186462394818594861379/150128434176867024949859437353\",\n \"559463889328762282287009845833/300256868353734049899718874706\",\n \"-29416080815094435462563156168/150128434176867024949859437353\",\n \"-636539992116191009587033973397/100085622784578016633239624902\",\n \"1085705442268942817110081953389/300256868353734049899718874706\",\n \"1652124789505068008284849012325/1201027473414936199598875498824\",\n \"-2449686594331656428763794343415/400342491138312066532958499608\",\n \"7191262393720961889151060115971/2402054946829872399197750997648\",\n \"-23971691219245093724719833913/50042811392289008316619812451\",\n \"7170338849750574787108767135/50042811392289008316619812451\",\n \"133857258833269869166691097403/4804109893659744798395501995296\",\n \"-110026794308671850744588525893/2402054946829872399197750997648\",\n \"-2234671549337043169623710285/1601369964553248266131833998432\",\n \"-35220420924530643072216577399/4804109893659744798395501995296\",\n \"448242188792260392737537205633/6405479858212993064527335993728\",\n \"-185857374402942000018313655047/1201027473414936199598875498824\",\n \"-248307493982348967529499436833/12810959716425986129054671987456\",\n \"-10433279203205218202389535/12810959716425986129054671987456\",\n \"36786646710976609790875359/6405479858212993064527335993728\",\n \"-1135907223673065595951106515/38432879149277958387164015962368\",\n \"-138099161072464962388014453/12810959716425986129054671987456\",\n \"18120571151024450400068939855/153731516597111833548656063849472\",\n \"-438640130408443980944393851/51243838865703944516218687949824\",\n \"-7843674499276316761402945093/153731516597111833548656063849472\",\n \"18635972219261964412991829691/153731516597111833548656063849472\"\n ],\n [\n \"-69877720459513314631184189032/50042811392289008316619812451\",\n \"-349393811700730847013436268023/150128434176867024949859437353\",\n \"646677013587977169639271388389/150128434176867024949859437353\",\n \"-20025032662045287696433630510/150128434176867024949859437353\",\n \"688958490249262440513004301163/100085622784578016633239624902\",\n \"1936645498031462927381320933063/600513736707468099799437749412\",\n \"-8338150044539209875657346999637/600513736707468099799437749412\",\n \"205803706697813001859242024113/100085622784578016633239624902\",\n \"-1499476988032639538845983447367/1201027473414936199598875498824\",\n \"982096806709556924009954351749/800684982276624133065916999216\",\n \"-602904743687738989260873270163/800684982276624133065916999216\",\n \"-201948056134615056475398696637/800684982276624133065916999216\",\n \"2189807220897478645556711817611/4804109893659744798395501995296\",\n \"2270873366899295896971013530503/4804109893659744798395501995296\",\n \"331385861119824956491764014539/800684982276624133065916999216\",\n \"-951888423941572574020088218479/3202739929106496532263667996864\",\n \"-3827606960879899618578198328477/19216439574638979193582007981184\",\n \"-1159690053908457838957823784679/9608219787319489596791003990592\",\n \"-29130852861442852458197486825/2402054946829872399197750997648\",\n \"1658816116209621890158880021/12810959716425986129054671987456\",\n \"-1001015838391821530421863693/38432879149277958387164015962368\",\n \"-7806971798111365523943582193/76865758298555916774328031924736\",\n \"-8705314972964785978745258615/38432879149277958387164015962368\",\n \"-32100031911350902190894704121/153731516597111833548656063849472\",\n \"18912601203645230041999507351/76865758298555916774328031924736\",\n \"3044683600386657369620623573/25621919432851972258109343974912\",\n \"7754409658676221568566002453/102487677731407889032437375899648\"\n ]\n ],\n \"S_rational_primes\": [\n 2,\n 3\n ],\n \"note\": \"Candidate generation may use conditional BNF; the replay checks exact support, character independence and an independent unconditional Cl[2] certificate.\"\n}\n" }, { "path": "anc/code/1.1.6/data/classgroup_params.json", "size_bytes": 352, "sha256": "3c045f2d43cf876268b54d4c3b7317231db53dcdd4d6778428490af2cd4a2d5f", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4+y^3+y^2+x=0\",\n \"section\": \"1.1.6\",\n \"polynomial\": \"x^27-160*x^19-1344*x^18+1280*x^15-3840*x^11+23552*x^10-40704*x^9+4096*x^7-8192*x^6-4096*x-4096\",\n \"field_discriminant\": \"228338523158094713633547747864934909042753536\",\n \"signature\": [3, 12],\n \"principal_bound\": 450000,\n \"T\": \"13\",\n \"window_heights\": [1],\n \"precision_bits\": 192\n}\n" }, { "path": "anc/code/1.1.6/expected/1.1.6a.txt", "size_bytes": 4211, "sha256": "9a17e372397e0f4eee4b2fc0225474dec793793574de335970f280756f9820d6", "mode": 420, "encoding": "utf-8", "text": "# python3 1.1.6a_selmer.py 4564 data/001457_descent_exact_input.json; gp -q 1.1.6a_field.gp; gp -q 1.1.6a_transport.gp; gp -q 1.1.6a_bitangent.gp (run here 14 Oct 2026; PARI 2.15.4, cypari2)\n# (the three .gp reviewer scripts treat 1.1.6 (source tag 4564, case 1) and 1.1.7 (4569, case 2) together)\n## 1.1.6a_selmer\nPARI stack size set to 3000000000 bytes, maximum size set to 3000000512\nbitangent identities exact zero: True True\ncandidates 24\nprimes above S: 9 [(2, 9, 3), (3, 2, 1), (3, 1, 1), (3, 1, 2), (3, 2, 2), (3, 1, 3), (3, 2, 3), (3, 1, 3), (3, 1, 6)]\nall candidates supported above S: OK\nrank of candidates under valuation+residue characters: 24 of 24\nafter norm conditions: dim 21\np=487 #C(F_p)=528 (incl. inf) degrees=[1, 2, 8, 8, 8] contacts=0 dim local image=1 -> remaining dim 18\np=491 #C(F_p)=490 (incl. inf) degrees=[1, 2, 8, 8, 8] contacts=2 dim local image=1 -> remaining dim 15\np=499 #C(F_p)=533 (incl. inf) degrees=[1, 4, 4, 6, 12] contacts=0 dim local image=1 -> remaining dim 12\np=503 #C(F_p)=508 (incl. inf) degrees=[1, 2, 8, 8, 8] contacts=2 dim local image=1 -> remaining dim 10\np=509 #C(F_p)=517 (incl. inf) degrees=[3, 12, 12] contacts=0 dim local image=0 -> remaining dim 8\np=521 #C(F_p)=524 (incl. inf) degrees=[1, 2, 8, 8, 8] contacts=2 dim local image=1 -> remaining dim 6\np=523 #C(F_p)=531 (incl. inf) degrees=[1, 1, 5, 5, 5, 5, 5] contacts=4 dim local image=2 -> remaining dim 5\nremaining basis size 5 time 6.0\nprimes above 2: [(9, 3)]\nlocal point u=0 z=0 (2^60 lift) v_p(h)=[-2]\nlocal point u=1 z=80012656626705902 (2^60 lift) v_p(h)=[-2]\nlocal point u=1 z=261983312138303213 (2^60 lift) v_p(h)=[-2]\n(O/p^19)^* cyclic structure has 28 even factors; local square-class dim = 29 (expected 29 )\nlocal point images: rank 3\nchar2 consistent with nfislocalpower on local points\nchar2 of G basis computed, time 12.4\ndimension after 2-adic condition: 2\nknown point P0: norm square>0: True ; image in K(S,2) span: True ; image in final Selmer-type group: True\nknown point P1: norm square>0: True ; image in K(S,2) span: True ; image in final Selmer-type group: True\nknown point A: norm square>0: True ; image in K(S,2) span: True ; image in final Selmer-type group: True\nknown point B: norm square>0: True ; image in K(S,2) span: True ; image in final Selmer-type group: True\nknown point R: norm square>0: True ; image in K(S,2) span: True ; image in final Selmer-type group: True\nimages of P0 P1 independent mod squares: True final dim: 2\ntotal time 13.7\n## 1.1.6a_field\ncase 1: poldisc partial factorization: [2, 312; 3, 18; 71, 2; 83, 2; 601, 6; 857, 6; 2707, 2; 224797, 2; 13954892403054433, 2]\n all factors prime? [1, 1, 1, 1, 1, 1, 1, 1, 1]\n nf disc = [2, 24; 3, 6; 601, 6; 857, 6] sign=[3, 12] index=[2, 144; 3, 6; 71, 1; 83, 1; 2707, 1; 224797, 1; 13954892403054433, 1]\n nfcertify: []\ncase 2: poldisc partial factorization: [2, 312; 3, 18; 5, 12; 17, 6; 83, 2; 157, 2; 433, 2; 1289, 6; 8284973309563947176629, 2]\n all factors prime? [1, 1, 1, 1, 1, 1, 1, 1, 1]\n nf disc = [2, 24; 3, 6; 17, 6; 1289, 6] sign=[3, 12] index=[2, 144; 3, 6; 5, 6; 83, 1; 157, 1; 433, 1; 8284973309563947176629, 1]\n nfcertify: []\n## 1.1.6a_transport\n4564: F(v,u) == M(u,v): 1\n4569: F(-v,-u) == -M(u,v): 1\n4564 target set satisfies F: [0, 0, 0, 0, 0]\n4564 source points mapped (x,y)=(z,u): 1\n4569 target set satisfies F: [0, 0, 0, 0, 0, 0]\n4569 source points mapped (x,y)=(-z,-u): 1\n4569 boxed set at TeX 5190 satisfies TARGET F? [0, 0, 0, 0, 0, 1350]\n4564 u=-z-1: [z - 2, 1; z, 2; z + 1, 1] z=0: [u, 2; u + 1, 1] z=-1: [u, 2; u + 1, 1]\n4569 u=-z: [z - 1, 1; z, 1; z + 1, 2] z=0: [u, 2; u + 1, 1] z=1: [u, 2; u + 1, 1]\nRes(81z+16,4z^3+1)=515057 Res(81z+16,4z^3-1)=-547825 [5, 2; 17, 1; 1289, 1]\n## 1.1.6a_bitangent\n4564 resultant factorization degrees: [27] mult [1]\n4569 resultant factorization degrees: [27] mult [1]\n4564 deg27 factor == claimed f: 1\n4569 deg27 factor == claimed f: 1\nirreducible: 1 1\nsignature (real roots): 3 3\nMat([m^27 - 160*m^19 - 1344*m^18 + 1280*m^15 - 3840*m^11 + 23552*m^10 - 40704*m^9 + 4096*m^7 - 8192*m^6 - 4096*m - 4096, 1])\nMat([m^27 - 160*m^19 - 1344*m^18 - 1280*m^15 - 3840*m^11 + 23552*m^10 - 40704*m^9 - 4096*m^7 + 8192*m^6 - 4096*m - 4096, 1])\n" }, { "path": "anc/code/1.1.6/expected/1.1.6b.txt", "size_bytes": 990, "sha256": "1cf0e5f908e78885cda1b39cb93de42cf025a0caa17004fc4733bdc35500d2f6", "mode": 420, "encoding": "utf-8", "text": "# SLICE of ./1.1.6bc_classgroup.sh stage b (run here 14 Oct 2026, PARI 2.15.4 / python-flint 0.9.0):\n# python3 ../common/h31_classgroup/witnesses.py data/classgroup_params.json --direct --lo 2 --hi 20000 --out work/generators_2_20000.jsonl.gz (127 s)\nWITNESSES 2410 STRICT 0 DIRECT 2410 BY_DEGREE {\"1\": 2240, \"2\": 147, \"3\": 19, \"5\": 3, \"6\": 1} BOUND 450000 RANGE 2 20000 SECONDS 127.1\n# python3 ../common/h31_classgroup/check_witnesses.py data/classgroup_params.json work/generators_2_20000.jsonl.gz --lo 2 --hi 20000\nALL 2410 PRIME IDEALS OF NORM <= 450000 OVER p IN [2, 20000] HAVE VALID WITNESSES; COFACTOR_ONE 2410 COFACTOR_GT_ONE 0 BY_DEGREE {\"1\": 2240, \"2\": 147, \"3\": 19, \"5\": 3, \"6\": 1} WITNESSES_USED 2410 SECONDS 4.6\n# reference: 2410 of the 37489 prime ideals of norm <= 450000 lie over p <= 20000 (all of residue degree >= 2 among them)\n# FULL (not run here): expected ALL 37489 PRIME IDEALS OF NORM <= 450000 OVER p IN [2, 450000] HAVE VALID WITNESSES; COFACTOR_ONE 37489 ...\n" }, { "path": "anc/code/1.1.6/expected/1.1.6c.txt", "size_bytes": 1419, "sha256": "68baf317de7cdb966f27a1f7ba062d011f2c1a959e1a71a597bda7924f0142d3", "mode": 420, "encoding": "utf-8", "text": "# ./1.1.6bc_classgroup.sh stage c (run here 14 Oct 2026, PARI 2.15.4 / python-flint 0.9.0):\n# python3 ../common/h31_classgroup/count_ideals.py data/classgroup_params.json --out work/counts.npz\nRANGE 2 442413 SUPPORT 442414 RATIONAL_PRIMES 37128 DISTINCT_NORMS 20159 PRIME_IDEALS 36932 SHA256 0cf7651fa80775a69c579f1c19d5e234dcdcaed1dcd79db332d043c9f50d27f5 SECONDS 7.9\n# python3 ../common/h31_classgroup/bound.py data/classgroup_params.json work/counts.npz --no-exp-terms\ndegree = 27\nsignature = [3, 12]\nsupport_count_bound = 442414\nprincipal_bound = 450000\ncells = 1\nprecision_bits = 192\nexp_terms_dropped = true\nprime_ideals_norm_below_support = 36932\nprime_ideals_proved_principal = 36932\nprime_power_terms = 20251\nprime_power_terms_with_multiplicity = 37100\nknot_straddling_terms = 0\narchimedean = \"[-0.765238590083311246009047329075 +/- 4.89e-32]\"\nprime_sum = \"[0.791719895995986804825294421392 +/- 4.61e-32]\"\npositive_part = \"[0.7917198959959868048252944 +/- 2.14e-26]\"\nnegative_part = \"0\"\nB = \"[0.02648130591267555881624709231690509647393 +/- 7.54e-43]\"\nB_rigorously_positive = true\nseconds = 0.6\nB_INTERVAL [0.02648130591267555881624709231690509647393 +/- 7.54e-43] POSITIVE True\n\n# gp -q 1.1.6c_B0.gp (independent short check, same formula)\n[2, 312; 3, 18; 71, 2; 83, 2; 601, 6; 857, 6; 2707, 2; 224797, 2; 13954892403054433, 2]\nideals<=450000: 37489 terms 37100 B0 = 0.026481305912675558816247092316905032306\n" }, { "path": "anc/code/1.1.6/expected/1.1.6d.txt", "size_bytes": 4805, "sha256": "bdbb9ccc98bd413f4728fb6877e57f0553a3bdb2aa41c67581e49f3c2b205ffe", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.6d_logs.gp; gp -q 1.1.6df_counts.gp (run here 14 Oct 2026; PARI 2.15.4, cypari2)\n## 1.1.6d_logs.gp\nP=(0,0): #monomials=36 ord_P(h)=35 max |coeff| digits 1\n deg_u N(h) = 38 v_u(N(h)) = 35\n residual u-polynomial p(U) = u^3 + 974098650971934069534668609578235334313170177676832486313029108804197075871/2286186744249713730783509897385034828277597636733987187655428733298306450625*u^2 + 5848440473884362252505134224493919413708123162266388070093351147084020944678/2286186744249713730783509897385034828277597636733987187655428733298306450625*u - 483509872236448060178224387054348436264971443819906378900954912253296485528/457237348849942746156701979477006965655519527346797437531085746659661290125 irreducible over Q: 1\n p mod 2 = Mod(1, 2)*u^3 + Mod(1, 2)*u^2 (integral at 2: 1)\n z on E as polynomial in u: -4572373488499427461567019794770069656555195273467974375310857466596612901250/8306282273196491194884921146626769853142276566929236613402258704743735056177*u^2 - 89260176443163717882754627179486651505155266493763635153866774092064837562/8306282273196491194884921146626769853142276566929236613402258704743735056177*u - 21237867630041555848846615682523962714367027640425100702363783656140144744/193169355190616074299649328991320229142843641091377595660517644296365931539 ; coefficients' 2-valuations [1, 1, 3]\n 2-adic factor degrees: [1, 1, 1]\n factor deg 1 centre (0,0) min v2 of z-coords poly: 4\n min valuation of roots ~ 2\n factor deg 1 centre (0,0) min v2 of z-coords poly: 2\n min valuation of roots ~ 1\n factor deg 1 centre (-1,0) min v2 of z-coords poly: 6\n min valuation of roots ~ 6\n log D (mod 2^30): [703361398, 924118332, 517389630]\n valuations: [1, 2, 1]\nP=(0,-1): #monomials=36 ord_P(h)=35 max |coeff| digits 1\n deg_u N(h) = 38 v_u(N(h)) = 35\n residual u-polynomial p(U) = u^3 - 30329305609106891523757332684283320143442180525991420515838558381388884646188646683677532225615178890758116017312230350099872293114744284365131071995075767231850228291800250614587848359267791477/103789658276813182049255604341192580674664014647488592647983096055096511472455913099902159618786048604830244464517324904257868673310313538715081884402971820047291438778354445464466900448162095601*u^2 + 5235130079800961174197998427067941824665989974856436843847399105697298472022579803398970880455420898587881099730845497478598086747006077612110034865754660971418230359605626654742230439624112996/103789658276813182049255604341192580674664014647488592647983096055096511472455913099902159618786048604830244464517324904257868673310313538715081884402971820047291438778354445464466900448162095601*u - 627376202496800079935004653540617716662879109430358766690976962881270171317324070051399264457030264670751267726386701985815474439502065343157900323808250956786203163102357365362862833353543742/11532184252979242449917289371243620074962668294165399183109232895010723496939545899989128846531783178314471607168591656028652074812257059857231320489219091116365715419817160607162988938684677289 irreducible over Q: 1\n p mod 2 = Mod(1, 2)*u^3 + Mod(1, 2)*u^2 (integral at 2: 1)\n z on E as polynomial in u: -207579316553626364098511208682385161349328029294977185295966192110193022944911826199804319237572097209660488929034649808515737346620627077430163768805943640094582877556708890928933800896324191202/158021360913013730969990286739594376824160810620786786400661228882430585030313770746436849019381774544436390138440138980027563428185738067878152043620064811536953636160397639983230023293612272931*u^2 + 1063895430792428797774818399699745872993698248373064145083991072308905737010542906121912717368567771699934979378136792806501014683477244206912038208894935972748205905907731116312019726922830804/22574480130430532995712898105656339546308687231540969485808746983204369290044824392348121288483110649205198591205734140003937632597962581125450291945723544505279090880056805711890003327658896133*u - 1281974566154920677205586188409750348116198822688935927232724495407485737979751705619565639834185089424266088104047923574252917552706319879017508850024746342778476959664086315657259626794016502/22574480130430532995712898105656339546308687231540969485808746983204369290044824392348121288483110649205198591205734140003937632597962581125450291945723544505279090880056805711890003327658896133 ; coefficients' 2-valuations [1, 2, 1]\n 2-adic factor degrees: [1, 2]\n factor deg 1 centre (-1,0) min v2 of z-coords poly: 3\n min valuation of roots ~ 3\n factor deg 2 centre (0,0) min v2 of z-coords poly: 1\n min valuation of roots ~ 1/2\n log D (mod 2^30): [516396498, 887777362, 803609192]\n valuations: [1, 1, 3]\n## 1.1.6df_counts.gp\n4564 p=2: [5, 9, 5] #J=35\n4564 p=23: [22, 538, 12616] L=12167*T^6 - 1058*T^5 + 138*T^4 + 140*T^3 + 6*T^2 - 2*T + 1 #J=11392 = [2, 7; 89, 1]\n" }, { "path": "anc/code/1.1.6/expected/1.1.6e.txt", "size_bytes": 6704, "sha256": "0291061f67930b83c6585d30e8597b5ff6becd0c0c434d1845c28561c482e9a0", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.6e_zero_tree.gp (run here 14 Oct 2026; PARI 2.15.4, cypari2)\nP=(0,0): #monomials=36 ord_P(h)=35 max |coeff| digits 1\n deg_u N(h) = 38 v_u(N(h)) = 35\n residual u-polynomial p(U) = u^3 + 974098650971934069534668609578235334313170177676832486313029108804197075871/2286186744249713730783509897385034828277597636733987187655428733298306450625*u^2 + 5848440473884362252505134224493919413708123162266388070093351147084020944678/2286186744249713730783509897385034828277597636733987187655428733298306450625*u - 483509872236448060178224387054348436264971443819906378900954912253296485528/457237348849942746156701979477006965655519527346797437531085746659661290125 irreducible over Q: 1\n p mod 2 = Mod(1, 2)*u^3 + Mod(1, 2)*u^2 (integral at 2: 1)\n z on E as polynomial in u: -4572373488499427461567019794770069656555195273467974375310857466596612901250/8306282273196491194884921146626769853142276566929236613402258704743735056177*u^2 - 89260176443163717882754627179486651505155266493763635153866774092064837562/8306282273196491194884921146626769853142276566929236613402258704743735056177*u - 21237867630041555848846615682523962714367027640425100702363783656140144744/193169355190616074299649328991320229142843641091377595660517644296365931539 ; coefficients' 2-valuations [1, 1, 3]\n 2-adic factor degrees: [1, 1, 1]\n factor deg 1 centre (0,0) min v2 of z-coords poly: 4\n min valuation of roots ~ 2\n factor deg 1 centre (0,0) min v2 of z-coords poly: 2\n min valuation of roots ~ 1\n factor deg 1 centre (-1,0) min v2 of z-coords poly: 6\n min valuation of roots ~ 6\n log D (mod 2^30): [703361398, 924118332, 517389630]\n valuations: [1, 2, 1]\nP=(0,-1): #monomials=36 ord_P(h)=35 max |coeff| digits 1\n deg_u N(h) = 38 v_u(N(h)) = 35\n residual u-polynomial p(U) = u^3 - 30329305609106891523757332684283320143442180525991420515838558381388884646188646683677532225615178890758116017312230350099872293114744284365131071995075767231850228291800250614587848359267791477/103789658276813182049255604341192580674664014647488592647983096055096511472455913099902159618786048604830244464517324904257868673310313538715081884402971820047291438778354445464466900448162095601*u^2 + 5235130079800961174197998427067941824665989974856436843847399105697298472022579803398970880455420898587881099730845497478598086747006077612110034865754660971418230359605626654742230439624112996/103789658276813182049255604341192580674664014647488592647983096055096511472455913099902159618786048604830244464517324904257868673310313538715081884402971820047291438778354445464466900448162095601*u - 627376202496800079935004653540617716662879109430358766690976962881270171317324070051399264457030264670751267726386701985815474439502065343157900323808250956786203163102357365362862833353543742/11532184252979242449917289371243620074962668294165399183109232895010723496939545899989128846531783178314471607168591656028652074812257059857231320489219091116365715419817160607162988938684677289 irreducible over Q: 1\n p mod 2 = Mod(1, 2)*u^3 + Mod(1, 2)*u^2 (integral at 2: 1)\n z on E as polynomial in u: -207579316553626364098511208682385161349328029294977185295966192110193022944911826199804319237572097209660488929034649808515737346620627077430163768805943640094582877556708890928933800896324191202/158021360913013730969990286739594376824160810620786786400661228882430585030313770746436849019381774544436390138440138980027563428185738067878152043620064811536953636160397639983230023293612272931*u^2 + 1063895430792428797774818399699745872993698248373064145083991072308905737010542906121912717368567771699934979378136792806501014683477244206912038208894935972748205905907731116312019726922830804/22574480130430532995712898105656339546308687231540969485808746983204369290044824392348121288483110649205198591205734140003937632597962581125450291945723544505279090880056805711890003327658896133*u - 1281974566154920677205586188409750348116198822688935927232724495407485737979751705619565639834185089424266088104047923574252917552706319879017508850024746342778476959664086315657259626794016502/22574480130430532995712898105656339546308687231540969485808746983204369290044824392348121288483110649205198591205734140003937632597962581125450291945723544505279090880056805711890003327658896133 ; coefficients' 2-valuations [1, 2, 1]\n 2-adic factor degrees: [1, 2]\n factor deg 1 centre (-1,0) min v2 of z-coords poly: 3\n min valuation of roots ~ 3\n factor deg 2 centre (0,0) min v2 of z-coords poly: 1\n min valuation of roots ~ 1/2\n log D (mod 2^30): [516396498, 887777362, 803609192]\n valuations: [1, 1, 3]\ncross product common valuation: 2\nprimitive annihilator normalized a0=1, mod 2^24: [1, 13277403, 4930309]\ntheir a (mod 2^22) normalized: [1, 694491, 736005] their lift mod 2^24 normalized: [1, 13277403, 4930309]\na . L0, a . L1 valuations: 90 90\nhalf-log vectors mod 2: [1, 0, 1] [1, 1, 0] det(first two rows) valuation: 0\ndisk P0: balls [[0, 1, 2, 1], [1, 1, 2, 1]] zeros: 2\n zero s mod 2^14 = 0 (c0,c1) mod 128 = (1,0) 70c0+c1 mod 128 = 70 third-coordinate consistency v2(L - c0 L0 - c1 L1) = 42\n zero s mod 2^14 = 11613 (c0,c1) mod 128 = (106,48) 70c0+c1 mod 128 = 44 third-coordinate consistency v2(L - c0 L0 - c1 L1) = 42\ndisk P1: balls [[0, 2, 4, 1], [2, 2, 4, 1], [1, 1, 1, 0]] zeros: 2\n zero s mod 2^14 = 0 (c0,c1) mod 128 = (0,1) 70c0+c1 mod 128 = 1 third-coordinate consistency v2(L - c0 L0 - c1 L1) = 43\n zero s mod 2^14 = 10130 (c0,c1) mod 128 = (124,35) 70c0+c1 mod 128 = 11 third-coordinate consistency v2(L - c0 L0 - c1 L1) = 43\ndisk A: balls [[0, 2, 5, 1], [2, 2, 5, 1], [1, 2, 4, 0], [3, 3, 7, 1], [7, 3, 7, 1]] zeros: 4\n zero s mod 2^14 = 0 (c0,c1) mod 128 = (126,0) 70c0+c1 mod 128 = 116 third-coordinate consistency v2(L - c0 L0 - c1 L1) = 43\n zero s mod 2^14 = 7586 (c0,c1) mod 128 = (64,104) 70c0+c1 mod 128 = 104 third-coordinate consistency v2(L - c0 L0 - c1 L1) = 43\n zero s mod 2^14 = 4595 (c0,c1) mod 128 = (120,79) 70c0+c1 mod 128 = 31 third-coordinate consistency v2(L - c0 L0 - c1 L1) = 44\n zero s mod 2^14 = 16383 (c0,c1) mod 128 = (4,127) 70c0+c1 mod 128 = 23 third-coordinate consistency v2(L - c0 L0 - c1 L1) = 44\ndisk B: balls [[0, 0, 1, 1]] zeros: 1\n zero s mod 2^14 = 0 (c0,c1) mod 128 = (0,126) 70c0+c1 mod 128 = 126 third-coordinate consistency v2(L - c0 L0 - c1 L1) = 41\ndisk inf: balls [[0, 1, 2, 1], [1, 1, 2, 1]] zeros: 2\n zero s mod 2^14 = 0 (c0,c1) mod 128 = (0,0) 70c0+c1 mod 128 = 0 third-coordinate consistency v2(L - c0 L0 - c1 L1) = 42\n zero s mod 2^14 = 529 (c0,c1) mod 128 = (5,65) 70c0+c1 mod 128 = 31 third-coordinate consistency v2(L - c0 L0 - c1 L1) = 42\ntotal zeros: 11\n" }, { "path": "anc/code/1.1.6/expected/1.1.6f.txt", "size_bytes": 587, "sha256": "ba6a557717e3503274b5a78e226c323550f0a49e9bdede64b15e2b511cdee60f", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.6df_counts.gp (line p=23); python3 1.1.6f_sieve23.py 4564 23 (Sage, passagemath; run here 14 Oct 2026, PARI 2.15.4 / python-flint 0.9.0; 63 s)\n4564 p=23: [22, 538, 12616] L=12167*T^6 - 1058*T^5 + 138*T^4 + 140*T^3 + 6*T^2 - 2*T + 1 #J=11392 = [2, 7; 89, 1]\n#C(F_p) = 22\norder of H1 = 89*D1: 128\nH0 = k*H1 with k = [70]\nR = [0, 1, 2, 4, 6, 8, 23, 24, 33, 35, 52, 58, 70, 99, 101, 116, 117, 126, 127]\nmatches supplied R: True\nextra-zero value 44 in R: False\nextra-zero value 11 in R: False\nextra-zero value 31 in R: False\nextra-zero value 104 in R: False\ntime 61.6852502822876\n" }, { "path": "anc/code/1.1.7/data/001448_descent_exact_input.json", "size_bytes": 49666, "sha256": "0e9e0ee03588790b4ca1a58f59e79cf5738dd45616b38470b15db9dce1456e63", "mode": 420, "encoding": "utf-8", "text": "{\n \"id\": \"L1024-001448\",\n \"field_polynomial_coefficients\": [\n \"-4096\",\n \"-4096\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"8192\",\n \"-4096\",\n \"0\",\n \"-40704\",\n \"23552\",\n \"-3840\",\n \"0\",\n \"0\",\n \"0\",\n \"-1280\",\n \"0\",\n \"0\",\n \"-1344\",\n \"-160\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"1\"\n ],\n \"bitangent_intercept_coefficients\": [\n \"-16499348610255978702403616801/46747323956269735520196532067\",\n \"7980313563336640337836151238/46747323956269735520196532067\",\n \"-7732729710291306441765219444/46747323956269735520196532067\",\n \"4032899995996982332339569432/46747323956269735520196532067\",\n \"-402578138981250194985708835937/186989295825078942080786128268\",\n \"331681325293538903039820731977/186989295825078942080786128268\",\n \"-109303244714501850697805959279/93494647912539471040393064134\",\n \"37490268721300948385233657881/46747323956269735520196532067\",\n \"-25664770062917796447823176398/46747323956269735520196532067\",\n \"8748739149019987492489463956/46747323956269735520196532067\",\n \"-18241336454812013997402387771/186989295825078942080786128268\",\n \"634892759179394680177710624/46747323956269735520196532067\",\n \"-1151519630620436323044776352/46747323956269735520196532067\",\n \"-164282525008508247872040244731/2991828733201263073292578052288\",\n \"21526074165628306535341178/46747323956269735520196532067\",\n \"-7485564717374878933774239051/373978591650157884161572256536\",\n \"1823062025678596215209132469/186989295825078942080786128268\",\n \"-691547990947426068118199691/93494647912539471040393064134\",\n \"-49346846795147000222710919/46747323956269735520196532067\",\n \"10107427333339480455584073/1495914366600631536646289026144\",\n \"745614862337181767098473/747957183300315768323144513072\",\n \"976054520991531667136553/373978591650157884161572256536\",\n \"1179695420234171975702509191/23934629865610104586340624418304\",\n \"-149643960835766021526475107/11967314932805052293170312209152\",\n \"97999212302368431922386333/5983657466402526146585156104576\",\n \"-27538753625195509026386787/2991828733201263073292578052288\",\n \"9871608842311316146840093/1495914366600631536646289026144\"\n ],\n \"S_unit_candidates\": [\n [\n \"-1\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\",\n \"0\"\n ],\n [\n \"-63534796893633016899404592538/233736619781348677600982660335\",\n \"83733648666435817086006478631/140241971868809206560589596201\",\n \"-556559120941057060329824842441/701209859344046032802947981005\",\n \"748073155523636380865927047612/701209859344046032802947981005\",\n \"-308255981938137170185703901064/701209859344046032802947981005\",\n \"2413854081347088616609724630677/2804839437376184131211791924020\",\n \"-624156137442269912967861327009/467473239562697355201965320670\",\n \"-1293793886247587935717780508335/373978591650157884161572256536\",\n \"6094156547194832301384192264893/2804839437376184131211791924020\",\n \"-2157857316318969820411207872701/11219357749504736524847167696080\",\n \"-20743937813934440112229073432/701209859344046032802947981005\",\n \"56406952997027580144327542489/2243871549900947304969433539216\",\n \"-35410784056109158312442747387/22438715499009473049694335392160\",\n \"-220707479162029256425621525781/1402419718688092065605895962010\",\n \"318131042155112171638349591933/44877430998018946099388670784320\",\n \"-78780470970301252002753932681/2804839437376184131211791924020\",\n \"-4203681224467908379453494591263/29918287332012630732925780522880\",\n \"-2157656058508305791008148062393/89754861996037892198777341568640\",\n \"-84112066533705092613159190799/89754861996037892198777341568640\",\n \"-472900958610649866520524593/35901944798415156879510936627456\",\n \"-748925653554326396052639811/179509723992075784397554683137280\",\n \"-7127705550127488697504730963/359019447984151568795109366274560\",\n \"671618296268413183313027847/29918287332012630732925780522880\",\n \"-4809847641616396498226427497/359019447984151568795109366274560\",\n \"8080406112153817398451825603/359019447984151568795109366274560\",\n \"29242796141285421501305282087/287215558387321255036087493019648\",\n \"273909712704344338456605659/47869259731220209172681248836608\"\n ],\n [\n \"183596831202219867829388032054/701209859344046032802947981005\",\n \"471565943181447983840200583468/701209859344046032802947981005\",\n \"83156287307471459622906400064/140241971868809206560589596201\",\n \"-22635473644786022677703231065/93494647912539471040393064134\",\n \"731225400026418436710898691027/1402419718688092065605895962010\",\n \"-1986186625900388317506328584797/2804839437376184131211791924020\",\n \"-1570782632894239604779096694669/1402419718688092065605895962010\",\n \"-7357497242278362530496709639459/5609678874752368262423583848040\",\n \"25907983811970026795935534048733/5609678874752368262423583848040\",\n \"-7884514220369261856665189057311/3739785916501578841615722565360\",\n \"4283487916658134121078029010099/11219357749504736524847167696080\",\n \"746589455978885979443943060367/11219357749504736524847167696080\",\n \"-141457666026872910444549099339/7479571833003157683231445130720\",\n \"-299179716840227802018573434809/5609678874752368262423583848040\",\n \"1829852746861012852201436537607/14959143666006315366462890261440\",\n \"-168883810649883598258787186483/4487743099801894609938867078432\",\n \"-425062907907564285220828970681/5609678874752368262423583848040\",\n \"1544189589638277286709391198789/14959143666006315366462890261440\",\n \"238295774624999269081885559029/17950972399207578439755468313728\",\n \"-6194151474894978402154733401/179509723992075784397554683137280\",\n \"-1051072559978945348570124207/29918287332012630732925780522880\",\n \"-1147182595834495245565817361/119673149328050522931703122091520\",\n \"-678147333919841785679668475/71803889596830313759021873254912\",\n \"-766536710326972644605075581/71803889596830313759021873254912\",\n \"21046136689770782822313757309/718038895968303137590218732549120\",\n \"75898642862224630646220540419/1436077791936606275180437465098240\",\n \"-9947888887726114018567779163/119673149328050522931703122091520\"\n ],\n [\n \"-549255856697483818045817962702/701209859344046032802947981005\",\n \"-391366341669936582462861531872/701209859344046032802947981005\",\n \"-42207011375182722137329522106/140241971868809206560589596201\",\n \"510271978301791508939128008991/1402419718688092065605895962010\",\n \"-791246878948532753704013963678/701209859344046032802947981005\",\n \"977200045862171007282310389523/467473239562697355201965320670\",\n \"-111880607899642854042660652677/233736619781348677600982660335\",\n \"55456079724859547125311712591/140241971868809206560589596201\",\n \"-31654469310448276514352417324179/5609678874752368262423583848040\",\n \"35586982678265703558491729421001/11219357749504736524847167696080\",\n \"-389158654872805429625204842676/701209859344046032802947981005\",\n \"16047774756414112966289604163/3739785916501578841615722565360\",\n \"36276419348982116862693284861/1869892958250789420807861282680\",\n \"-27456402772088236337502094697/1869892958250789420807861282680\",\n \"-364588785085348647717905305571/2243871549900947304969433539216\",\n \"10457715493350909303283867181/747957183300315768323144513072\",\n \"473601942918040960196088856337/22438715499009473049694335392160\",\n \"-15714692278426405068580601419811/89754861996037892198777341568640\",\n \"-236889566180004635269226884039/11219357749504736524847167696080\",\n \"1008781594548901116287187899/89754861996037892198777341568640\",\n \"275881425352386534100991983/89754861996037892198777341568640\",\n \"-2115839752309719499330104701/359019447984151568795109366274560\",\n \"285719066002175324487264323/11219357749504736524847167696080\",\n \"-2808567274814132147425688467/359019447984151568795109366274560\",\n \"-452608817361979996188909485/47869259731220209172681248836608\",\n \"-20943683494582080560968496759/1436077791936606275180437465098240\",\n \"63180838519080430739720602641/478692597312202091726812488366080\"\n ],\n [\n \"-57217128682197475552908508964/140241971868809206560589596201\",\n \"-113732241476091365330883594234/233736619781348677600982660335\",\n \"-20227644992503892981463737332/233736619781348677600982660335\",\n \"507936282547918629224830789979/701209859344046032802947981005\",\n \"45684779309784000417891710941/233736619781348677600982660335\",\n \"389040174481718000655608264587/233736619781348677600982660335\",\n \"-10533114073818589220350691002/233736619781348677600982660335\",\n \"624116714923734793908499947929/373978591650157884161572256536\",\n \"-1570382386250007959116501148167/701209859344046032802947981005\",\n \"9019284409762742169334914427049/11219357749504736524847167696080\",\n \"-188116197144940835875119272929/1869892958250789420807861282680\",\n \"456793479257949662950625222663/11219357749504736524847167696080\",\n \"317165918043849729512934468227/5609678874752368262423583848040\",\n \"1121795429725148442741846312313/11219357749504736524847167696080\",\n \"431798518354386032600558028101/22438715499009473049694335392160\",\n \"75895046331951646660153043905/2243871549900947304969433539216\",\n \"1087130935839440865237211290473/14959143666006315366462890261440\",\n \"-400605644827498413865409030243/14959143666006315366462890261440\",\n \"-1551781899101247716767267613/373978591650157884161572256536\",\n \"865484904843389599395655393/44877430998018946099388670784320\",\n \"214378692325056715158155987/89754861996037892198777341568640\",\n \"-8050007147204300637581166931/359019447984151568795109366274560\",\n \"-8163610074008718807735395461/359019447984151568795109366274560\",\n \"-13128411386226477875224684711/359019447984151568795109366274560\",\n \"-2490641533630788122655167421/119673149328050522931703122091520\",\n \"-1234185349151454383900378319/23934629865610104586340624418304\",\n \"37457156420034219159142298471/1436077791936606275180437465098240\"\n ],\n [\n \"-543300678417750632103776627984/701209859344046032802947981005\",\n \"34206312887670522115836691143/233736619781348677600982660335\",\n \"-53978077531001715609566767178/233736619781348677600982660335\",\n \"312380673024175810721291959067/701209859344046032802947981005\",\n \"-262970156321140113943698918901/467473239562697355201965320670\",\n \"573419405760320097765804210821/701209859344046032802947981005\",\n \"-1428831217645628744093340348809/934946479125394710403930641340\",\n \"28876227723278374090523716520183/5609678874752368262423583848040\",\n \"-24150384158621900363359693451711/5609678874752368262423583848040\",\n \"2344070813593445247733905523219/1869892958250789420807861282680\",\n \"-498963185946025481517223892023/2243871549900947304969433539216\",\n \"-329691968279624084228356938341/5609678874752368262423583848040\",\n \"-553079271191360728089382635357/7479571833003157683231445130720\",\n \"244223763583112332377367396351/1869892958250789420807861282680\",\n \"-148040560435204497897352031039/2804839437376184131211791924020\",\n \"-2006057137910038099042124490341/44877430998018946099388670784320\",\n \"6228682313425150605616229553191/44877430998018946099388670784320\",\n \"-135992142806118903287630822301/3739785916501578841615722565360\",\n \"-1134058541516455345385623135003/179509723992075784397554683137280\",\n \"2555596359989643034101648059/59836574664025261465851561045760\",\n \"559836648961828073904735779/14959143666006315366462890261440\",\n \"6798437471110355126271487147/359019447984151568795109366274560\",\n \"932179852922858872266469021/359019447984151568795109366274560\",\n \"29895385684044868460297021/29918287332012630732925780522880\",\n \"11892553787831031093365587777/359019447984151568795109366274560\",\n \"-77004486016632092756175600329/718038895968303137590218732549120\",\n \"446731166770645143357912319/11219357749504736524847167696080\"\n ],\n [\n \"549255856697483818045817962702/701209859344046032802947981005\",\n \"-309843517674109450340086449133/701209859344046032802947981005\",\n \"42207011375182722137329522106/140241971868809206560589596201\",\n \"-510271978301791508939128008991/1402419718688092065605895962010\",\n \"791246878948532753704013963678/701209859344046032802947981005\",\n \"-977200045862171007282310389523/467473239562697355201965320670\",\n \"111880607899642854042660652677/233736619781348677600982660335\",\n \"-55456079724859547125311712591/140241971868809206560589596201\",\n \"31654469310448276514352417324179/5609678874752368262423583848040\",\n \"-35586982678265703558491729421001/11219357749504736524847167696080\",\n \"389158654872805429625204842676/701209859344046032802947981005\",\n \"-16047774756414112966289604163/3739785916501578841615722565360\",\n \"-36276419348982116862693284861/1869892958250789420807861282680\",\n \"27456402772088236337502094697/1869892958250789420807861282680\",\n \"364588785085348647717905305571/2243871549900947304969433539216\",\n \"-10457715493350909303283867181/747957183300315768323144513072\",\n \"-473601942918040960196088856337/22438715499009473049694335392160\",\n \"15714692278426405068580601419811/89754861996037892198777341568640\",\n \"236889566180004635269226884039/11219357749504736524847167696080\",\n \"-1008781594548901116287187899/89754861996037892198777341568640\",\n \"-275881425352386534100991983/89754861996037892198777341568640\",\n \"2115839752309719499330104701/359019447984151568795109366274560\",\n \"-285719066002175324487264323/11219357749504736524847167696080\",\n \"2808567274814132147425688467/359019447984151568795109366274560\",\n \"452608817361979996188909485/47869259731220209172681248836608\",\n \"20943683494582080560968496759/1436077791936606275180437465098240\",\n \"-63180838519080430739720602641/478692597312202091726812488366080\"\n ],\n [\n \"-394803238761051457390833182887/701209859344046032802947981005\",\n \"238730642419148818805505331916/701209859344046032802947981005\",\n \"-248764135778335091587238055574/701209859344046032802947981005\",\n \"705221087634000081111884896471/701209859344046032802947981005\",\n \"-337253935619866246121950271823/233736619781348677600982660335\",\n \"1454827373394261796793905723477/934946479125394710403930641340\",\n \"-106974598272036463870225003511/140241971868809206560589596201\",\n \"6944483553069107851135425083493/1869892958250789420807861282680\",\n \"-3199942309031340381524959005145/373978591650157884161572256536\",\n \"45178157269191316112765244537659/11219357749504736524847167696080\",\n \"-566041997813355932741364825759/934946479125394710403930641340\",\n \"-55407944183787335398483771073/2804839437376184131211791924020\",\n \"107136260366368270131689894093/7479571833003157683231445130720\",\n \"206330353185393423562592987847/1869892958250789420807861282680\",\n \"-9434643354283432516015849442017/44877430998018946099388670784320\",\n \"-4883823965063642649774365585/560967887475236826242358384804\",\n \"2173731594763814616738968783107/17950972399207578439755468313728\",\n \"-5837877783282603149252175543927/29918287332012630732925780522880\",\n \"-2239342703252008090234648143707/89754861996037892198777341568640\",\n \"-459060449029410215933704373/179509723992075784397554683137280\",\n \"754157318563606999440681511/89754861996037892198777341568640\",\n \"-6150491447195415780195791483/359019447984151568795109366274560\",\n \"188705344899930167807586117/29918287332012630732925780522880\",\n \"2546875226262448273269405421/359019447984151568795109366274560\",\n \"2027859903587734592390471719/359019447984151568795109366274560\",\n \"-43430039176829588843004069383/478692597312202091726812488366080\",\n \"4667274475859542935344962441/29918287332012630732925780522880\"\n ],\n [\n \"74529060883020500805749086624/701209859344046032802947981005\",\n \"-21868017697065664694102568519/46747323956269735520196532067\",\n \"142229884443347815949171900141/233736619781348677600982660335\",\n \"-105747469816844648540796949882/140241971868809206560589596201\",\n \"4057327644903998703757363490531/1402419718688092065605895962010\",\n \"-298263996381105188923331640026/233736619781348677600982660335\",\n \"380052311335109213139080282039/560967887475236826242358384804\",\n \"1023682189103315477241822340003/1402419718688092065605895962010\",\n \"-14453951425243919373569972318949/1869892958250789420807861282680\",\n \"48406210666872579233111841408169/11219357749504736524847167696080\",\n \"-663156145358056007793911783371/1121935774950473652484716769608\",\n \"-241706840578196681996931487201/11219357749504736524847167696080\",\n \"155634034570862062168243067621/22438715499009473049694335392160\",\n \"901308887648665559879205095973/7479571833003157683231445130720\",\n \"-11604431462636425681615072450463/44877430998018946099388670784320\",\n \"119198849576907306709686471181/14959143666006315366462890261440\",\n \"3241777657348158296629641424049/89754861996037892198777341568640\",\n \"-4207515263678874802072846551089/17950972399207578439755468313728\",\n \"-1020284704635947928363912304783/35901944798415156879510936627456\",\n \"-212802483887544934925071379/179509723992075784397554683137280\",\n \"-2393639996519285616840329353/179509723992075784397554683137280\",\n \"20855990680617486956979423/3739785916501578841615722565360\",\n \"-5914846821856680207291135107/89754861996037892198777341568640\",\n \"2807458858363558229319054203/89754861996037892198777341568640\",\n \"-2309140406557968996550543647/239346298656101045863406244183040\",\n \"-1848242978103157704183204115/71803889596830313759021873254912\",\n \"21234489527737824264645784803/119673149328050522931703122091520\"\n ],\n [\n \"216433014919632125367534005014/233736619781348677600982660335\",\n \"-1054372744675622178053587400848/701209859344046032802947981005\",\n \"954485246992432618038451813958/701209859344046032802947981005\",\n \"-206615208535051546161702194336/701209859344046032802947981005\",\n \"2215825186339990944753505002689/701209859344046032802947981005\",\n \"-4208725960672406633822652447473/1402419718688092065605895962010\",\n \"54839856768802866344243636299/140241971868809206560589596201\",\n \"-35376142604715329559978486577439/5609678874752368262423583848040\",\n \"61906824055951670866651078718497/5609678874752368262423583848040\",\n \"-26699756890107797760994929539017/5609678874752368262423583848040\",\n \"1303574318843801234960943432249/1869892958250789420807861282680\",\n \"58583887541293087333554539371/2243871549900947304969433539216\",\n \"-108515195853985661792194625/140241971868809206560589596201\",\n \"-1615987013609220979418373555817/11219357749504736524847167696080\",\n \"3587118998363960193549316008773/14959143666006315366462890261440\",\n \"-91018672213423331668635530827/7479571833003157683231445130720\",\n \"-9752547726693584063882649417433/44877430998018946099388670784320\",\n \"3813639740262513656687590581553/17950972399207578439755468313728\",\n \"5087413487110505845665703727231/179509723992075784397554683137280\",\n \"5725768640183871189861716779/179509723992075784397554683137280\",\n \"-28458731456730848334771785/1495914366600631536646289026144\",\n \"-23452100111996566980342547/3739785916501578841615722565360\",\n \"-5386805575134408579312114013/119673149328050522931703122091520\",\n \"-609312789492118857480238547/143607779193660627518043746509824\",\n \"573005927418113951496434709/59836574664025261465851561045760\",\n \"4802962871872270493739672581/29918287332012630732925780522880\",\n \"-127243667501788947992937836399/718038895968303137590218732549120\"\n ],\n [\n \"-138099640433071373199543224037/233736619781348677600982660335\",\n \"195216045513602689981991102267/701209859344046032802947981005\",\n \"-24892496136226921146469409452/140241971868809206560589596201\",\n \"110527214746203947990518892974/140241971868809206560589596201\",\n \"-15557366829119022797271193539/93494647912539471040393064134\",\n \"-1282501409507365476099171523711/1402419718688092065605895962010\",\n \"1114728113079630953599151673622/701209859344046032802947981005\",\n \"-7829413325311114697715582493561/2804839437376184131211791924020\",\n \"1871328748213322802081677861359/2804839437376184131211791924020\",\n \"288507871311669308180357942071/1402419718688092065605895962010\",\n \"-53326622412704432635977558593/747957183300315768323144513072\",\n \"-589856637556306869683289534043/11219357749504736524847167696080\",\n \"185901001074806108191266828077/2804839437376184131211791924020\",\n \"-70729994371909447136080271753/1121935774950473652484716769608\",\n \"-2217783438185647268804612689843/44877430998018946099388670784320\",\n \"313183832779958694223006931729/8975486199603789219877734156864\",\n \"-2839419680661019881969367428881/44877430998018946099388670784320\",\n \"-159771765941676829064694086519/5609678874752368262423583848040\",\n \"-72902519645477257296896482111/29918287332012630732925780522880\",\n \"390989477918113663269595483/44877430998018946099388670784320\",\n \"3012118276357754595570735937/179509723992075784397554683137280\",\n \"-143163852397924047983805045/5983657466402526146585156104576\",\n \"76511533297574656273665977/44877430998018946099388670784320\",\n \"15902327385357465541680854011/718038895968303137590218732549120\",\n \"-20523351254855401840586870279/718038895968303137590218732549120\",\n \"14492791585713399857524911899/287215558387321255036087493019648\",\n \"3633748743729935626033475733/239346298656101045863406244183040\"\n ],\n [\n \"-76736145753023117646608067911/233736619781348677600982660335\",\n \"-72283809905793936955648735878/233736619781348677600982660335\",\n \"25497227462115563635247877722/701209859344046032802947981005\",\n \"528703851538057255579558965102/233736619781348677600982660335\",\n \"-212713267818731823710531967631/280483943737618413121179192402\",\n \"2797967744076631738092044725697/2804839437376184131211791924020\",\n \"-555069598737293980389932173942/701209859344046032802947981005\",\n \"2782506185038338147905579394619/1402419718688092065605895962010\",\n \"-13604346092493754001391180876203/5609678874752368262423583848040\",\n \"1998181094604770258248984813465/2243871549900947304969433539216\",\n \"-239963124366454691533869773503/1402419718688092065605895962010\",\n \"-130130585368813032918708339667/5609678874752368262423583848040\",\n \"314884027751289544422869441509/11219357749504736524847167696080\",\n \"517574947624562821462695844761/7479571833003157683231445130720\",\n \"-899664526761875811998426353711/44877430998018946099388670784320\",\n \"-48629465604521425719008623741/5609678874752368262423583848040\",\n \"870354442412103403449293428299/14959143666006315366462890261440\",\n \"-1034823821252461439200824358701/29918287332012630732925780522880\",\n \"-29510593354529739684720611553/5983657466402526146585156104576\",\n \"479134892104175458309063261/11967314932805052293170312209152\",\n \"191020961945389140410738863/7479571833003157683231445130720\",\n \"-11421554870391579763989227029/359019447984151568795109366274560\",\n \"-2041491580167030657650313019/359019447984151568795109366274560\",\n \"-39192164072098815537824089/2804839437376184131211791924020\",\n \"5819068943277910906680284471/718038895968303137590218732549120\",\n \"-10590399123418855452411840387/239346298656101045863406244183040\",\n \"2785272795613032656071991173/89754861996037892198777341568640\"\n ],\n [\n \"-136071085513980766673842674458/140241971868809206560589596201\",\n \"-42050828644436933474008279257/233736619781348677600982660335\",\n \"74201986946034054706096012147/233736619781348677600982660335\",\n \"1815854189582775543347218568069/1402419718688092065605895962010\",\n \"517287779460808518364301566693/467473239562697355201965320670\",\n \"355194595316341557604562711603/2804839437376184131211791924020\",\n \"-4498428544127577015308265888509/2804839437376184131211791924020\",\n \"-2691399165312432623306039969981/2804839437376184131211791924020\",\n \"340117726413314359179960632191/5609678874752368262423583848040\",\n \"1279180194715788491606079607581/3739785916501578841615722565360\",\n \"-298984082304895057821089475241/11219357749504736524847167696080\",\n \"35847289116064697925572643443/747957183300315768323144513072\",\n \"12741781690788746361905663803/934946479125394710403930641340\",\n \"129383019675644924497700804731/22438715499009473049694335392160\",\n \"70138898080383313688045782567/8975486199603789219877734156864\",\n \"-405844107208339816881398841803/11219357749504736524847167696080\",\n \"-5620433641046786657490807972887/89754861996037892198777341568640\",\n \"-1593393502575957234761427001609/44877430998018946099388670784320\",\n \"-605928917410072953306892624319/179509723992075784397554683137280\",\n \"-873863461392599416694310239/179509723992075784397554683137280\",\n \"-885083712778858677128498457/59836574664025261465851561045760\",\n \"-1301664383476804097433377827/35901944798415156879510936627456\",\n \"-14719240217045964138838087571/359019447984151568795109366274560\",\n \"-15260287502073178338341617649/718038895968303137590218732549120\",\n \"1320207967464823692377375959/44877430998018946099388670784320\",\n \"61875007847992518670302448291/1436077791936606275180437465098240\",\n \"15283761980209325550319365661/718038895968303137590218732549120\"\n ],\n [\n \"270972822024983287716034325983/701209859344046032802947981005\",\n \"373308213602797677891479094241/701209859344046032802947981005\",\n \"26972234227613796331162334012/140241971868809206560589596201\",\n \"-761093127382263223237645604669/467473239562697355201965320670\",\n \"3469718919435951569382246542299/1402419718688092065605895962010\",\n \"-254795005991120628230921350559/186989295825078942080786128268\",\n \"-8064006572092824673015525361327/2804839437376184131211791924020\",\n \"4352866444253359417786062847667/1402419718688092065605895962010\",\n \"-493848595903502459613972636059/186989295825078942080786128268\",\n \"233673661167052102969443647448/233736619781348677600982660335\",\n \"-287508437345465036859526396601/5609678874752368262423583848040\",\n \"59999797210670288790064002769/2804839437376184131211791924020\",\n \"-1714189222157353381049060026387/11219357749504736524847167696080\",\n \"2255943657552516318209169242971/22438715499009473049694335392160\",\n \"-2464100239462592031732216894587/44877430998018946099388670784320\",\n \"-1145434560387885314802222044171/11219357749504736524847167696080\",\n \"2965720687946289209857350357989/89754861996037892198777341568640\",\n \"-531129718587930542857083405803/11219357749504736524847167696080\",\n \"-1126838870453015382145643011927/179509723992075784397554683137280\",\n \"-978150203130031771170352913/35901944798415156879510936627456\",\n \"-3874975920979391728102438999/179509723992075784397554683137280\",\n \"5378049174582223051947708827/119673149328050522931703122091520\",\n \"-108264475500427731882408367/2243871549900947304969433539216\",\n \"6704070770880087926261155213/718038895968303137590218732549120\",\n \"17923225566533733923651077047/239346298656101045863406244183040\",\n \"-48097901761421514680714506763/1436077791936606275180437465098240\",\n \"18768586366654286954419475517/478692597312202091726812488366080\"\n ],\n [\n \"-120852358167440646520341529463/701209859344046032802947981005\",\n \"-202897483857257949689831569274/701209859344046032802947981005\",\n \"-136365573386280047160717328940/140241971868809206560589596201\",\n \"-151439886921178666113450491127/233736619781348677600982660335\",\n \"922859040561869309808096270039/467473239562697355201965320670\",\n \"-1099144535899358626010263814953/2804839437376184131211791924020\",\n \"1647206241740821678301508574411/467473239562697355201965320670\",\n \"-1883653125853634350480232388332/701209859344046032802947981005\",\n \"-16711175565202944681895977441707/5609678874752368262423583848040\",\n \"5539492867591060913081271120553/2804839437376184131211791924020\",\n \"-214840159855821360116020643147/701209859344046032802947981005\",\n \"-542127565177350092094818694103/11219357749504736524847167696080\",\n \"1763981194375953312114227546909/22438715499009473049694335392160\",\n \"60084825533158145465542661383/4487743099801894609938867078432\",\n \"-5285622930037002404016385037251/44877430998018946099388670784320\",\n \"261192521728038510980673925087/2243871549900947304969433539216\",\n \"-647750817860612405803175198771/89754861996037892198777341568640\",\n \"-364759990868550782189131265281/2991828733201263073292578052288\",\n \"-1274295226563031344675269453051/89754861996037892198777341568640\",\n \"-112737051771939693047045617/59836574664025261465851561045760\",\n \"5394574160865155539420312001/179509723992075784397554683137280\",\n \"947766030404896497387796457/44877430998018946099388670784320\",\n \"-1971717925330566446294650505/71803889596830313759021873254912\",\n \"1506144361314182464919549657/239346298656101045863406244183040\",\n \"-62763459112584222244429344839/718038895968303137590218732549120\",\n \"22633010309308253713851073243/1436077791936606275180437465098240\",\n \"42534812091632915457925155169/478692597312202091726812488366080\"\n ],\n [\n \"-1663084790827087058882367670816/701209859344046032802947981005\",\n \"579460029633995091269600149268/701209859344046032802947981005\",\n \"-788447528964264395401393081961/701209859344046032802947981005\",\n \"-70756504188921567706792141409/701209859344046032802947981005\",\n \"-578817770596999873469774302241/1402419718688092065605895962010\",\n \"317698930024051009076497861287/93494647912539471040393064134\",\n \"-2701771837971052484694772130141/1402419718688092065605895962010\",\n \"26446373596758648800955844932917/5609678874752368262423583848040\",\n \"-14004779437283334161401880535509/934946479125394710403930641340\",\n \"41855361465063845873903122808711/5609678874752368262423583848040\",\n \"-1297308575431053548566095168641/1121935774950473652484716769608\",\n \"-162516065364595454092150091/701209859344046032802947981005\",\n \"-118864387312969418048286120059/4487743099801894609938867078432\",\n \"1771927977373893283485440684051/11219357749504736524847167696080\",\n \"-16057721939533163687550356448827/44877430998018946099388670784320\",\n \"-93754539153412521632561411081/22438715499009473049694335392160\",\n \"2692877072878129159880114990447/17950972399207578439755468313728\",\n \"-34797570189611950310201647518113/89754861996037892198777341568640\",\n \"-4330367872698836317862893563281/89754861996037892198777341568640\",\n \"741501192754975587222759671/179509723992075784397554683137280\",\n \"834571408399967733903428153/44877430998018946099388670784320\",\n \"147953757557847205862900491/11967314932805052293170312209152\",\n \"-4318812746900964075014699429/359019447984151568795109366274560\",\n \"-14208975361214096342569671703/718038895968303137590218732549120\",\n \"3919203587558429745087546433/718038895968303137590218732549120\",\n \"-26863429497310878093481885457/239346298656101045863406244183040\",\n \"433445519419404489497523972563/1436077791936606275180437465098240\"\n ],\n [\n \"626418993627233716008881621908/701209859344046032802947981005\",\n \"188512217152337837190640341038/701209859344046032802947981005\",\n \"52780091152290593546033211215/140241971868809206560589596201\",\n \"-1912396009014667014128824236329/1402419718688092065605895962010\",\n \"2122350576201673597092959140043/701209859344046032802947981005\",\n \"-9797963736302620026811360785977/2804839437376184131211791924020\",\n \"214233359333466909912572517589/560967887475236826242358384804\",\n \"2149375037682291422616050706553/934946479125394710403930641340\",\n \"17289436749219178494865991401607/5609678874752368262423583848040\",\n \"-25925266876342803485271371640551/11219357749504736524847167696080\",\n \"1904652936843006798078598457063/3739785916501578841615722565360\",\n \"-17152700299709854377015710429/560967887475236826242358384804\",\n \"-11681778294212854438813681408/140241971868809206560589596201\",\n \"1501851147811976682517553050811/11219357749504736524847167696080\",\n \"1514271930137043424907810790071/14959143666006315366462890261440\",\n \"-1660823376798709446248639578283/44877430998018946099388670784320\",\n \"1732605523053238143074642815423/29918287332012630732925780522880\",\n \"13221561536268644596623632300299/89754861996037892198777341568640\",\n \"498199507385954640749022097781/29918287332012630732925780522880\",\n \"-4014054480512021534930918689/179509723992075784397554683137280\",\n \"-78109031862194094876700189/17950972399207578439755468313728\",\n \"14235867963562857094588907003/359019447984151568795109366274560\",\n \"-3629669820774780951032176081/59836574664025261465851561045760\",\n \"11163545132708178732547242931/359019447984151568795109366274560\",\n \"3426946618536234750489427363/143607779193660627518043746509824\",\n \"-13186320903965059084447705393/287215558387321255036087493019648\",\n \"-24926970445711636761091674111/239346298656101045863406244183040\"\n ],\n [\n \"-1151437714995129326383279717786/701209859344046032802947981005\",\n \"-28279616005640607926843087227/701209859344046032802947981005\",\n \"128097073281766497424109438374/140241971868809206560589596201\",\n \"240489349213606983243795797711/280483943737618413121179192402\",\n \"-258576444306909675936969880839/467473239562697355201965320670\",\n \"-49710595387223579881657748870/140241971868809206560589596201\",\n \"-1912461286056245449734213795407/1402419718688092065605895962010\",\n \"19123595438893167944717524882913/5609678874752368262423583848040\",\n \"-58222515356957669923789593966067/5609678874752368262423583848040\",\n \"58756587524752390616672367453151/11219357749504736524847167696080\",\n \"-8907375466508469198931900007987/11219357749504736524847167696080\",\n \"-594354353244057377432509918981/11219357749504736524847167696080\",\n \"-510771167209514434465074482059/22438715499009473049694335392160\",\n \"256657882657242927759753012293/2243871549900947304969433539216\",\n \"-14957218904822655159753557457593/44877430998018946099388670784320\",\n \"-176733722953548708645493089673/2804839437376184131211791924020\",\n \"2451025444028789336537937131837/29918287332012630732925780522880\",\n \"-2053352569522141994073069578007/7479571833003157683231445130720\",\n \"-6087739505561032295767209812891/179509723992075784397554683137280\",\n \"55061435999977015139549881/89754861996037892198777341568640\",\n \"-414906585012661154283149419/59836574664025261465851561045760\",\n \"-3840789532580062128923144983/179509723992075784397554683137280\",\n \"-591592710775210442155703707/29918287332012630732925780522880\",\n \"1156098935763089846974236651/23934629865610104586340624418304\",\n \"29531937022867354658447044039/718038895968303137590218732549120\",\n \"-1477008030030960879015656161/22438715499009473049694335392160\",\n \"76155387087675050771768597071/359019447984151568795109366274560\"\n ],\n [\n \"794766240150020962735195287241/701209859344046032802947981005\",\n \"-58974225165342418177574450411/46747323956269735520196532067\",\n \"6889026616053081754476826281/233736619781348677600982660335\",\n \"-644517123771420334217222421181/233736619781348677600982660335\",\n \"425600008749685085367960868757/701209859344046032802947981005\",\n \"-2223958682866004659701765249759/934946479125394710403930641340\",\n \"12931157541077864735403151660381/2804839437376184131211791924020\",\n \"-32178750533309420688711519036913/5609678874752368262423583848040\",\n \"1493385179184287563084304808727/233736619781348677600982660335\",\n \"-15870404140295677778970384224033/5609678874752368262423583848040\",\n \"507603460181578146008737543839/1869892958250789420807861282680\",\n \"-105493936103387408732632626913/934946479125394710403930641340\",\n \"24042237690969410605561248377/4487743099801894609938867078432\",\n \"-416594101186510426725143043049/2243871549900947304969433539216\",\n \"2508187562527899100705489802371/44877430998018946099388670784320\",\n \"1493138581537797233384950567631/14959143666006315366462890261440\",\n \"-9411225909034048787770119556667/89754861996037892198777341568640\",\n \"1816434775345452910239544141603/14959143666006315366462890261440\",\n \"482934560784208631290698542663/29918287332012630732925780522880\",\n \"7054772914124438185562314969/179509723992075784397554683137280\",\n \"5842863702180033311027352913/179509723992075784397554683137280\",\n \"12257377660812006612688843891/179509723992075784397554683137280\",\n \"1673162707062732788424602369/35901944798415156879510936627456\",\n \"17529417816139050282451643423/359019447984151568795109366274560\",\n \"-1796834154234356248688373361/22438715499009473049694335392160\",\n \"20960527720504119625339095033/239346298656101045863406244183040\",\n \"-3014360128802050887599153611/29918287332012630732925780522880\"\n ],\n [\n \"-382175565409060413608568677521/233736619781348677600982660335\",\n \"-96983127313001338427677010594/233736619781348677600982660335\",\n \"-377606922992180593875965469518/701209859344046032802947981005\",\n \"131759872255595284266163143379/701209859344046032802947981005\",\n \"471344389682841711914043236636/701209859344046032802947981005\",\n \"6317684368794728543638074244441/2804839437376184131211791924020\",\n \"283153583334561709087203496961/93494647912539471040393064134\",\n \"-105041056992299988506419393917/46747323956269735520196532067\",\n \"-3643937484545789471653342088405/560967887475236826242358384804\",\n \"728386343156219594479057808453/186989295825078942080786128268\",\n \"-867738957277422633801095304623/1402419718688092065605895962010\",\n \"44984382720504992381300765441/1869892958250789420807861282680\",\n \"3905373782744598043447610310271/22438715499009473049694335392160\",\n \"26525002428664621399820191151/560967887475236826242358384804\",\n \"-3654235274100605893378435524869/22438715499009473049694335392160\",\n \"118031192314997879840091941617/747957183300315768323144513072\",\n \"2760413804046878694847358771819/89754861996037892198777341568640\",\n \"-163995668605161245200315364605/747957183300315768323144513072\",\n \"-314173856215099786223757997085/11967314932805052293170312209152\",\n \"1885222630721261855194305787/179509723992075784397554683137280\",\n \"2118621140643581049780854599/179509723992075784397554683137280\",\n \"-8534689724134377074028499/373978591650157884161572256536\",\n \"-352107909455331672199257787/14959143666006315366462890261440\",\n \"-4662531982484970160385129579/143607779193660627518043746509824\",\n \"-27150864142532036391910676199/239346298656101045863406244183040\",\n \"-895608076590541903420388315/95738519462440418345362497673216\",\n \"78627315064432258206706123347/478692597312202091726812488366080\"\n ],\n [\n \"149506205303180535855006773383/140241971868809206560589596201\",\n \"205641975595760937537777154837/140241971868809206560589596201\",\n \"-1343668987542687228500523125683/701209859344046032802947981005\",\n \"-2070552703226480632851436982927/1402419718688092065605895962010\",\n \"-506560555352820831167609387617/1402419718688092065605895962010\",\n \"-857304020910591698287462916811/467473239562697355201965320670\",\n \"2755776468447551355192177651287/560967887475236826242358384804\",\n \"-50206726743636318285544875349517/5609678874752368262423583848040\",\n \"63879000166968670421744091184223/5609678874752368262423583848040\",\n \"-3421308327208868688847914348107/701209859344046032802947981005\",\n \"2333711714946213659705026988539/3739785916501578841615722565360\",\n \"-468227347072143402370536106133/5609678874752368262423583848040\",\n \"120543551121726541461510269979/1869892958250789420807861282680\",\n \"-1360810225274414274986907545261/4487743099801894609938867078432\",\n \"16741775294881071532686061329/93494647912539471040393064134\",\n \"1828909549593641404057943892477/14959143666006315366462890261440\",\n \"-18271405107126215631451475304023/89754861996037892198777341568640\",\n \"6379768487857260310217983375191/29918287332012630732925780522880\",\n \"1022995444108497878187091715329/35901944798415156879510936627456\",\n \"-1796258675286173210916513107/89754861996037892198777341568640\",\n \"1122120883831442557221158519/29918287332012630732925780522880\",\n \"279466386074039601601897187/7479571833003157683231445130720\",\n \"2974956425689591498584300751/44877430998018946099388670784320\",\n \"6797712606458087471625916147/239346298656101045863406244183040\",\n \"-2116286557874059695642607123/22438715499009473049694335392160\",\n \"77884552685880738672334525139/478692597312202091726812488366080\",\n \"-127830928352663062084624415329/718038895968303137590218732549120\"\n ],\n [\n \"106131678823708011342450697520/140241971868809206560589596201\",\n \"41195943613346682017341144776/233736619781348677600982660335\",\n \"-168898989799552809704889614573/233736619781348677600982660335\",\n \"246485043985575633180775777094/233736619781348677600982660335\",\n \"740947790630178311093689968466/701209859344046032802947981005\",\n \"-3732846084024843888213333714239/2804839437376184131211791924020\",\n \"553294718237111782824640092725/560967887475236826242358384804\",\n \"-21762377555492593483782972672733/5609678874752368262423583848040\",\n \"14283066850382607736161325745087/2804839437376184131211791924020\",\n \"-23322514715533485286105127838361/11219357749504736524847167696080\",\n \"3862038829581761038742783747701/11219357749504736524847167696080\",\n \"138938739749684464347384314461/11219357749504736524847167696080\",\n \"497689278146562336251225399477/7479571833003157683231445130720\",\n \"-407915416086471181098247321889/5609678874752368262423583848040\",\n \"4752037879679014829444453192069/44877430998018946099388670784320\",\n \"368105782138359946170427991199/14959143666006315366462890261440\",\n \"-4926526773627865488261678222061/44877430998018946099388670784320\",\n \"502328113378319492952981205997/5609678874752368262423583848040\",\n \"2197748283667970733859613127581/179509723992075784397554683137280\",\n \"-22872189108091662992028747/1495914366600631536646289026144\",\n \"-142725010228892593131120061/35901944798415156879510936627456\",\n \"-3829904647346578600628713689/119673149328050522931703122091520\",\n \"-494508626313214260127858247/22438715499009473049694335392160\",\n \"-9594971551051506956115839/2991828733201263073292578052288\",\n \"-12844504468010079538031386679/718038895968303137590218732549120\",\n \"60204534264630248425902795031/718038895968303137590218732549120\",\n \"-109966688095536702832316023471/1436077791936606275180437465098240\"\n ],\n [\n \"-73493696628748382745663781217/233736619781348677600982660335\",\n \"507861538781485236373803879439/701209859344046032802947981005\",\n \"-65119863586781209012028144848/701209859344046032802947981005\",\n \"133009761905265369012564674609/280483943737618413121179192402\",\n \"-3194665147630878212030459337097/1402419718688092065605895962010\",\n \"332058624825114495563942884333/140241971868809206560589596201\",\n \"-1843074776688834026464058299796/701209859344046032802947981005\",\n \"293594266578233111106487600321/1869892958250789420807861282680\",\n \"409955592748807948230494991069/1869892958250789420807861282680\",\n \"27140519722487316214838956953/1869892958250789420807861282680\",\n \"-45796354399592431887956079559/467473239562697355201965320670\",\n \"148255408608024379662620328763/5609678874752368262423583848040\",\n \"-425795102118465772994904173101/5609678874752368262423583848040\",\n \"-912122999956637407684760908243/7479571833003157683231445130720\",\n \"78625996878785813276210174617/8975486199603789219877734156864\",\n \"-229293471998358387049612193849/3739785916501578841615722565360\",\n \"-1241837530531498529193477957709/29918287332012630732925780522880\",\n \"-1000015871798941340354333307901/89754861996037892198777341568640\",\n \"-50407611457899649448470837041/59836574664025261465851561045760\",\n \"-130688127788440979981469717/29918287332012630732925780522880\",\n \"-48052391868891875030132409/59836574664025261465851561045760\",\n \"763990962262523912159475145/71803889596830313759021873254912\",\n \"23487716798541811116381926383/359019447984151568795109366274560\",\n \"-2319438753529432546302217003/119673149328050522931703122091520\",\n \"8600362182380760785113921267/179509723992075784397554683137280\",\n \"18090014868272065159707301519/718038895968303137590218732549120\",\n \"7576156738731295942385290909/1436077791936606275180437465098240\"\n ],\n [\n \"-387713076958248652557521471/323884461590783386975957497\",\n \"-663632100263370370533287551/1619422307953916934879787485\",\n \"-316164579332192094990245253/539807435984638978293262495\",\n \"4013513327108449193044399034/1619422307953916934879787485\",\n \"-9231150517502773703832572059/3238844615907833869759574970\",\n \"1005707351336554390090216347/215922974393855591317304998\",\n \"-5429420349325619506129444653/1079614871969277956586524990\",\n \"82421384650949594542059153469/12955378463631335479038299880\",\n \"-59464476607604413011787432003/6477689231815667739519149940\",\n \"106237109645627682105810278561/25910756927262670958076599760\",\n \"-697271488665831511804585209/1079614871969277956586524990\",\n \"670858316999547527415728861/12955378463631335479038299880\",\n \"-130317075301336484027081331/3454767590301689461076879968\",\n \"6853807551794723704979893241/51821513854525341916153199520\",\n \"-2999693453607658063105860751/25910756927262670958076599760\",\n \"-4349814897160423217545580701/51821513854525341916153199520\",\n \"9495441662588697215098348179/69095351806033789221537599360\",\n \"-13102573590817545061807528073/69095351806033789221537599360\",\n \"-2045947121087012098182512719/82914422167240547065845119232\",\n \"2348776445062282600208911/82914422167240547065845119232\",\n \"2383271029995660215517071/138190703612067578443075198720\",\n \"-6710710462658775781127963/165828844334481094131690238464\",\n \"4880701441637643824541431/414572110836202735329225596160\",\n \"-103084999771913157165046409/1658288443344810941316902384640\",\n \"57941681138630802595180129/829144221672405470658451192320\",\n \"-183374417966816759818154549/1658288443344810941316902384640\",\n \"85269857662064133719395487/552762814448270313772300794880\"\n ],\n [\n \"117616848648609382976450198966/701209859344046032802947981005\",\n \"-17469971599032295623056198264/701209859344046032802947981005\",\n \"-466043890935855189938187199123/701209859344046032802947981005\",\n \"-239445367438879747474486723182/233736619781348677600982660335\",\n \"2774114751472361722644996531229/701209859344046032802947981005\",\n \"-733228429127774311295671771667/1402419718688092065605895962010\",\n \"217240339528326561066292215401/233736619781348677600982660335\",\n \"-461170842152952024725519242077/186989295825078942080786128268\",\n \"390926211280424099368894111389/1869892958250789420807861282680\",\n \"1154165352236821439693914281751/3739785916501578841615722565360\",\n \"450339346876086633385028280539/11219357749504736524847167696080\",\n \"409705552051055844542193700969/11219357749504736524847167696080\",\n \"78900687187002804982994202067/11219357749504736524847167696080\",\n \"882389767271153799853477737089/22438715499009473049694335392160\",\n \"1288235575603178032255000047481/44877430998018946099388670784320\",\n \"168738074167236748874226226271/2991828733201263073292578052288\",\n \"-1435910109839552323650766800607/29918287332012630732925780522880\",\n \"-3111204934985693355457022982179/89754861996037892198777341568640\",\n \"-604536238336462298120603943131/179509723992075784397554683137280\",\n \"-119169261264820146376741397/5609678874752368262423583848040\",\n \"25203459843264023293307131/3739785916501578841615722565360\",\n \"2162212910633908463209249973/71803889596830313759021873254912\",\n \"-5109819657748741221473544463/71803889596830313759021873254912\",\n \"-23597091937989454711105958071/718038895968303137590218732549120\",\n \"-27310048543724715840469873693/718038895968303137590218732549120\",\n \"602566989042085234973265127/14959143666006315366462890261440\",\n \"7540753618278195170818307101/359019447984151568795109366274560\"\n ]\n ]\n}\n" }, { "path": "anc/code/1.1.7/data/classgroup_params.json", "size_bytes": 341, "sha256": "f57b307f90976de023da9773dfeee12edb08b5c4f212d3c2361ab7b67e819788", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4+y^3-y^2+x=0\",\n \"section\": \"1.1.7\",\n \"polynomial\": \"x^27-160*x^19-1344*x^18-1280*x^15-3840*x^11+23552*x^10-40704*x^9-4096*x^7+8192*x^6-4096*x-4096\",\n \"field_discriminant\": \"1354124066128729798801788169592242176\",\n \"signature\": [3, 12],\n \"principal_bound\": 3000,\n \"T\": \"8\",\n \"window_heights\": [1],\n \"precision_bits\": 192\n}\n" }, { "path": "anc/code/1.1.7/expected/1.1.7a.txt", "size_bytes": 5022, "sha256": "60f033be4cc0a08075d1114e47f5624172eca200976c7d2a9db928152c1c3c2f", "mode": 420, "encoding": "utf-8", "text": "# python3 1.1.7a_selmer.py 4569 data/001448_descent_exact_input.json '[[1,0],[2,0],[0,1]]'; python3 1.1.7a_normdim.py data/001448_descent_exact_input.json 2,3,5; gp -q 1.1.7a_field.gp; gp -q 1.1.7a_transport.gp; gp -q 1.1.7a_bitangent.gp (run here 14 Oct 2026; PARI 2.15.4, cypari2)\n# (the three .gp reviewer scripts treat 1.1.6 (source tag 4564, case 1) and 1.1.7 (4569, case 2) together)\n## 1.1.7a_selmer\nPARI stack size set to 3000000000 bytes, maximum size set to 3000000512\nbitangent identities exact zero: True True\ncandidates 25\nprimes above S: 10 [(2, 9, 3), (3, 1, 3), (3, 1, 6), (3, 1, 6), (3, 2, 6), (5, 1, 3), (5, 1, 6), (5, 1, 6), (5, 1, 6), (5, 1, 6)]\nall candidates supported above S: OK\nrank of candidates under valuation+residue characters: 25 of 25\nafter norm conditions: dim 21\np=487 #C(F_p)=476 (incl. inf) degrees=[1, 2, 8, 8, 8] contacts=2 dim local image=1 -> remaining dim 18\np=491 #C(F_p)=537 (incl. inf) degrees=[1, 1, 5, 5, 5, 5, 5] contacts=2 dim local image=2 -> remaining dim 15\np=499 #C(F_p)=520 (incl. inf) degrees=[1, 2, 8, 8, 8] contacts=2 dim local image=1 -> remaining dim 13\np=503 #C(F_p)=501 (incl. inf) degrees=[1, 1, 5, 5, 5, 5, 5] contacts=4 dim local image=2 -> remaining dim 10\np=509 #C(F_p)=510 (incl. inf) degrees=[1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4] contacts=4 dim local image=3 -> remaining dim 7\np=521 #C(F_p)=522 (incl. inf) degrees=[1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4] contacts=4 dim local image=3 -> remaining dim 6\np=523 #C(F_p)=543 (incl. inf) degrees=[1, 4, 4, 6, 12] contacts=0 dim local image=1 -> remaining dim 6\nremaining basis size 6 time 9.8\nprimes above 2: [(9, 3)]\nlocal point u=1 z=32591904014587406 (2^60 lift) v_p(h)=[-2]\nlocal point u=2 z=467043851510829300 (2^60 lift) v_p(h)=[-2]\nlocal point u=0 z=1 (2^60 lift) v_p(h)=[-2]\n(O/p^19)^* cyclic structure has 28 even factors; local square-class dim = 29 (expected 29 )\nlocal point images: rank 3\nchar2 consistent with nfislocalpower on local points\nchar2 of G basis computed, time 22.2\ndimension after 2-adic condition: 3\nprimes above 5: [(1, 3), (1, 6), (1, 6), (1, 6), (1, 6)]\n5-adic u=1 point: z mod 25 = 4 residual zero mod 5^80: True\n5-adic character vector (val,res per prime) of u=1 point: [0, 0, 0, 0, 1, 0, 1, 0, 0, 0]\ndimension after 5-adic condition (image = line of u=1 point): 2\nimages of lifts of smooth F_5 points: [((0, 0), True), ((0, 1), True), ((2, 4), True), ((4, 0), True), ((4, 1), True)]\nknown point (0,1): norm square>0: True ; image in K(S,2) span: True ; image in final Selmer-type group: True\nknown point (1,-1): norm square>0: True ; image in K(S,2) span: True ; image in final Selmer-type group: True\nknown point (0,0): norm square>0: True ; image in K(S,2) span: True ; image in final Selmer-type group: True\nknown point (-1,0): norm square>0: True ; image in K(S,2) span: True ; image in final Selmer-type group: True\nknown point (-1,1): norm square>0: True ; image in K(S,2) span: True ; image in final Selmer-type group: True\nknown point (6,4): norm square>0: True ; image in K(S,2) span: True ; image in final Selmer-type group: True\nimages of (0,1) (1,-1) independent mod squares: True final dim: 2\ntotal time 24.3\n## 1.1.7a_normdim\nPARI stack size set to 400000000 bytes, maximum size set to 400003072\nn gens 25 norm-condition rank 4 kernel dim 21\n## 1.1.7a_field\ncase 1: poldisc partial factorization: [2, 312; 3, 18; 71, 2; 83, 2; 601, 6; 857, 6; 2707, 2; 224797, 2; 13954892403054433, 2]\n all factors prime? [1, 1, 1, 1, 1, 1, 1, 1, 1]\n nf disc = [2, 24; 3, 6; 601, 6; 857, 6] sign=[3, 12] index=[2, 144; 3, 6; 71, 1; 83, 1; 2707, 1; 224797, 1; 13954892403054433, 1]\n nfcertify: []\ncase 2: poldisc partial factorization: [2, 312; 3, 18; 5, 12; 17, 6; 83, 2; 157, 2; 433, 2; 1289, 6; 8284973309563947176629, 2]\n all factors prime? [1, 1, 1, 1, 1, 1, 1, 1, 1]\n nf disc = [2, 24; 3, 6; 17, 6; 1289, 6] sign=[3, 12] index=[2, 144; 3, 6; 5, 6; 83, 1; 157, 1; 433, 1; 8284973309563947176629, 1]\n nfcertify: []\n## 1.1.7a_transport\n4564: F(v,u) == M(u,v): 1\n4569: F(-v,-u) == -M(u,v): 1\n4564 target set satisfies F: [0, 0, 0, 0, 0]\n4564 source points mapped (x,y)=(z,u): 1\n4569 target set satisfies F: [0, 0, 0, 0, 0, 0]\n4569 source points mapped (x,y)=(-z,-u): 1\n4569 boxed set at TeX 5190 satisfies TARGET F? [0, 0, 0, 0, 0, 1350]\n4564 u=-z-1: [z - 2, 1; z, 2; z + 1, 1] z=0: [u, 2; u + 1, 1] z=-1: [u, 2; u + 1, 1]\n4569 u=-z: [z - 1, 1; z, 1; z + 1, 2] z=0: [u, 2; u + 1, 1] z=1: [u, 2; u + 1, 1]\nRes(81z+16,4z^3+1)=515057 Res(81z+16,4z^3-1)=-547825 [5, 2; 17, 1; 1289, 1]\n## 1.1.7a_bitangent\n4564 resultant factorization degrees: [27] mult [1]\n4569 resultant factorization degrees: [27] mult [1]\n4564 deg27 factor == claimed f: 1\n4569 deg27 factor == claimed f: 1\nirreducible: 1 1\nsignature (real roots): 3 3\nMat([m^27 - 160*m^19 - 1344*m^18 + 1280*m^15 - 3840*m^11 + 23552*m^10 - 40704*m^9 + 4096*m^7 - 8192*m^6 - 4096*m - 4096, 1])\nMat([m^27 - 160*m^19 - 1344*m^18 - 1280*m^15 - 3840*m^11 + 23552*m^10 - 40704*m^9 - 4096*m^7 + 8192*m^6 - 4096*m - 4096, 1])\n" }, { "path": "anc/code/1.1.7/expected/1.1.7b.txt", "size_bytes": 580, "sha256": "cf2afed56998739dbbd0365beb3e28b4faf8de99a71eeddbcd0b06ee2102900e", "mode": 420, "encoding": "utf-8", "text": "# ./1.1.7bc_classgroup.sh, stage b (run here 14 Oct 2026, PARI 2.15.4 / python-flint 0.9.0)\n== 1.1.7b: generators of all prime ideals of norm <= principal_bound (bnfinit only proposes)\nWITNESSES 413 STRICT 0 DIRECT 413 BY_DEGREE {\"1\": 396, \"2\": 8, \"3\": 4, \"4\": 2, \"6\": 3} BOUND 3000 RANGE 2 3000 SECONDS 20.4\n== 1.1.7b: exact check against an independent list of the prime ideals\nALL 413 PRIME IDEALS OF NORM <= 3000 OVER p IN [2, 3000] HAVE VALID WITNESSES; COFACTOR_ONE 413 COFACTOR_GT_ONE 0 BY_DEGREE {\"1\": 396, \"2\": 8, \"3\": 4, \"4\": 2, \"6\": 3} WITNESSES_USED 413 SECONDS 1.6\n" }, { "path": "anc/code/1.1.7/expected/1.1.7c.txt", "size_bytes": 1371, "sha256": "5d7e15afd0aaf1a48c643f4cbddb21b5709f4e2c2132388f581d0533d3378c35", "mode": 420, "encoding": "utf-8", "text": "# ./1.1.7bc_classgroup.sh, stage c (run here 14 Oct 2026, PARI 2.15.4 / python-flint 0.9.0)\n== 1.1.7c: all prime ideals of norm < e^T, and the one-cell bound B_0 (without the small exponential terms)\nRANGE 2 2980 SUPPORT 2981 RATIONAL_PRIMES 429 DISTINCT_NORMS 231 PRIME_IDEALS 413 SHA256 2fa310b784d5d9dce6361bf0e0f61d7989caf7e01ad0903484fc3421c662829e SECONDS 2.4\ndegree = 27\nsignature = [3, 12]\nsupport_count_bound = 2981\nprincipal_bound = 3000\ncells = 1\nprecision_bits = 192\nexp_terms_dropped = true\nprime_ideals_norm_below_support = 413\nprime_ideals_proved_principal = 413\nprime_power_terms = 244\nprime_power_terms_with_multiplicity = 428\nknot_straddling_terms = 0\narchimedean = \"[-0.189669615768393816721665358744 +/- 3.91e-31]\"\nprime_sum = \"[0.274659577943656317727005929974 +/- 4.59e-31]\"\npositive_part = \"[0.2746595779436563177270059 +/- 3.00e-26]\"\nnegative_part = \"0\"\nB = \"[0.08498996217526250100534057122993185132083 +/- 1.07e-42]\"\nB_rigorously_positive = true\nseconds = 0.0\nB_INTERVAL [0.08498996217526250100534057122993185132083 +/- 1.07e-42] POSITIVE True\n\n# gp -q 1.1.7c_B0.gp (independent short check with the same formula)\ncertify: [] disc [2, 24; 3, 6; 17, 6; 1289, 6] sign [3, 12]\nprime ideals norm<=3000: 413 B0 = 0.084989962175262501005340571229931851166\n2: [[9, 3]]\n3: [[1, 3], [1, 6], [1, 6], [2, 6]]\n5: [[1, 3], [1, 6], [1, 6], [1, 6], [1, 6]]\n" }, { "path": "anc/code/1.1.7/expected/1.1.7d.txt", "size_bytes": 347, "sha256": "3d564110e5b532063aa396b2667120e2446791bf200bc19da593b7cf06687325", "mode": 420, "encoding": "utf-8", "text": "# python3 1.1.7d_o6minus.py (run here 14 Oct 2026; PARI 2.15.4, cypari2); 41 s\nnonzero isotropic: 27 nonsingular (reflection) vectors: 36\ncode weights of nonzero v: {16: 27, 12: 36}\nsum of isotropic vectors: 0\ngroup order 51840\ncycle type (3,6,6,6,6) catalogue {(dim J[2]^F, coinvariant rank): count}: {(1, 1): 4320, (2, 0): 1440, (0, 0): 720}\n" }, { "path": "anc/code/1.1.7/expected/1.1.7e.txt", "size_bytes": 660, "sha256": "ab2a46049de74219e313161872c3513e50912cd550702121996f0aeea353f860", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.7e_logs2.gp (run here 14 Oct 2026; PARI 2.15.4, cypari2)\nD(0,0): centres [[0, 0], [0, 0], [-1, 0]]\nG1=D(0,1): centres [\"O\", \"O\", \"O\"]\nG2=D(1,-1): centres [[-1, 1], [0, 1], [0, 1]]\nlog D(0,0) mod 2^40: [714153886116, 445000321592, 1048252576132] claimed [714153886116, 445000321592, 1048252576132]\nlog G1 mod 2^40: [578889133504, 570949811744, 721623895966] claimed [578889133504, 570949811744, 721623895966]\nlog G2 mod 2^40: [771568004334, 348449650948, 747253421788] claimed [771568004334, 348449650948, 747253421788]\nrelation D(0,0) = 2G1 - 2G2: valuation of difference [87, 85, 87]\nhalf-log vectors mod 2: G1 [0, 0, 1] G2 [1, 0, 0]\n" }, { "path": "anc/code/1.1.7/expected/1.1.7eh_counts.txt", "size_bytes": 640, "sha256": "140c28967bcb4fc03b5f0e00650ff617a00e6affcbc7855eb9387f8b7c60662c", "mode": 420, "encoding": "utf-8", "text": "# gcc -O2 -o work/count3 1.1.7eh_count.c; ./work/count3 p k -1 for p = 2, 293, 509 and k = 1, 2, 3 (columns: p k #C(F_{p^k})) (run here 14 Oct 2026)\n2 1 5\n2 2 9\n2 3 5\n293 1 284\n293 2 85720\n293 3 25164212\n509 1 510\n509 2 259528\n509 3 131838318\n# gp -q 1.1.7eh_lpoly.gp (the counts above typed in; rows p = 293, 509, 2: [L_p(T), #J(F_p), factorization])\n[25153757*T^6 - 858490*T^5 - 4395*T^4 + 3968*T^3 - 15*T^2 - 10*T + 1, 24294816, [2, 5; 3, 4; 7, 1; 13, 1; 103, 1]]\n[131872229*T^6 + 113507*T^4 - 11304*T^3 + 223*T^2 + 1, 131974656, [2, 9; 3, 1; 11, 1; 73, 1; 107, 1]]\n[8*T^6 + 8*T^5 + 8*T^4 + 4*T^3 + 4*T^2 + 2*T + 1, 35, [5, 1; 7, 1]]\n" }, { "path": "anc/code/1.1.7/expected/1.1.7f.txt", "size_bytes": 1420, "sha256": "0f01b81e4bb5184e096d512d245123d962783774ea1a52c7b8ee057d76a87c4c", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.7f_zero_tree2.gp (run here 14 Oct 2026; PARI 2.15.4, cypari2)\ncross product common valuation 2; annihilator normalised by middle coeff, mod 2^38: [193822253650, 1, 105258597328]\nminor rows 0,2 det valuation: 0\ndisk (0,0): balls [c,d,v,zeros] [[0, 1, 3, 1], [1, 1, 3, 1]]\n zero s mod 2^20 = 0 (a,b) mod 2^16 = (2,65534) mod 512: (2,510) consistency v2 = 42\n zero s mod 2^20 = 3 (a,b) mod 2^16 = (65525,9) mod 512: (501,9) consistency v2 = 42\ndisk (0,1): balls [c,d,v,zeros] [[0, 0, 1, 1]]\n zero s mod 2^20 = 0 (a,b) mod 2^16 = (1,0) mod 512: (1,0) consistency v2 = 41\ndisk (-1,0): balls [c,d,v,zeros] [[0, 2, 4, 1], [2, 2, 4, 1], [1, 1, 1, 0]]\n zero s mod 2^20 = 0 (a,b) mod 2^16 = (65532,4) mod 512: (508,4) consistency v2 = 43\n zero s mod 2^20 = 902770 (a,b) mod 2^16 = (18122,35366) mod 512: (202,38) consistency v2 = 43\ndisk (-1,1): balls [c,d,v,zeros] [[0, 1, 2, 1], [1, 1, 2, 1]]\n zero s mod 2^20 = 0 (a,b) mod 2^16 = (65534,0) mod 512: (510,0) consistency v2 = 42\n zero s mod 2^20 = 1 (a,b) mod 2^16 = (0,1) mod 512: (0,1) consistency v2 = 42\ndisk O: balls [c,d,v,zeros] [[0, 5, 10, 1], [16, 5, 10, 1], [8, 4, 7, 0], [4, 3, 5, 0], [2, 2, 3, 0], [1, 1, 1, 0]]\n zero s mod 2^20 = 0 (a,b) mod 2^16 = (0,0) mod 512: (0,0) consistency v2 = 46\n zero s mod 2^20 = 607280 (a,b) mod 2^16 = (38704,39424) mod 512: (304,0) consistency v2 = 46\ntotal zeros 9\n" }, { "path": "anc/code/1.1.7/expected/1.1.7g.txt", "size_bytes": 2080, "sha256": "b542c3ea9363a76a3936ae11098f88db5b0eaa641520438b1a38102dcc91c787", "mode": 420, "encoding": "utf-8", "text": "# gp -q 1.1.7g_logs3.gp; gp -q 1.1.7g_zero_tree3.gp (run here 14 Oct 2026; PARI 2.15.4); 28 s + 20 s\n## 1.1.7g_logs3.gp\nD(0,0) at 3: centres [\"O\", \"O\", \"O\"] 563ms\nD(1,-1) at 3: centres [\"O\", \"O\", \"O\"] 5021ms\n3 log D(0,0) mod 3^24: [265295843469, 256546487256, 167647527990] claimed [265295843469, 256546487256, 167647527990]\n3 log D(1,-1) mod 3^24: [247088970603, 249160065058, 89859469233] claimed [247088970603, 249160065058, 89859469233]\nvaluations: [1, 0, 1] [1, -1, 0]\nstability (NS 200 vs 300) v3 diff: [67, 66, 67]\n## 1.1.7g_zero_tree3.gp\ncross product common valuation 2\nannihilator proportional to supplied one mod 3^22: 1 reduction mod 3 of supplied: [2, 0, 2]\ndet valuation: 2\ndisk (0,0): #balls 1 zeros 1 max removed valuation 1 max depth 0\n zero param mod 3^12 = 0 (a,b) valuations [0, 0] (a,b) mod 3^8 = (2,6559) mod 81: (2,79)\ndisk (1,-1): #balls 1 zeros 1 max removed valuation 1 max depth 0\n zero param mod 3^12 = 0 (a,b) valuations [40, 0] (a,b) mod 3^8 = (0,1) mod 81: (0,1)\ndisk (-1,0): #balls 7 zeros 2 max removed valuation 7 max depth 3\n zero param mod 3^12 = 0 (a,b) valuations [0, 0] (a,b) mod 3^8 = (6557,4) mod 81: (77,4)\n zero param mod 3^12 = 273546 (a,b) valuations [0, 0] (a,b) mod 3^8 = (2705,832) mod 81: (32,22)\ndisk (-1,1): #balls 1 zeros 1 max removed valuation 2 max depth 0\n zero param mod 3^12 = 0 (a,b) valuations [0, 40] (a,b) mod 3^8 = (6559,0) mod 81: (79,0)\ndisk O: #balls 1 zeros 1 max removed valuation 1 max depth 0\n zero param mod 3^12 = 0 (a,b) valuations [40, 40] (a,b) mod 3^8 = (0,0) mod 81: (0,0)\ncusp chart: coefficient bound holds for n<260: 1; min valuation of coefficients n in [121,259]: 32\ndisk cusp (0,1): #balls 3 zeros 3 max removed valuation 1 max depth 1\n zero param mod 3^12 = 0 (a,b) valuations [0, 41] (a,b) mod 3^8 = (1,0) mod 81: (1,0)\n zero param mod 3^12 = 397615 (a,b) valuations [0, 0] (a,b) mod 3^8 = (1055,2942) mod 81: (2,26)\n zero param mod 3^12 = 2 (a,b) valuations [0, 2] (a,b) mod 3^8 = (6550,9) mod 81: (70,9)\ntotal ternary zeros 9\n" }, { "path": "anc/code/1.1.7/expected/1.1.7h.txt", "size_bytes": 1299, "sha256": "146943796b6539bdda86045ed173c99faab5878585c1646b9871b6f09857d362", "mode": 420, "encoding": "utf-8", "text": "# point counts and #J: see expected/1.1.7eh_counts.txt\n# python3 1.1.7h_sieve.py 509 (Sage/passagemath function-field Jacobian; run here 14 Oct 2026; 401 s)\n#C(F_p) = 510 time 22.4\norder(G1) = 16496832 order(G2) = 8248416\nR_2 (304,0) mod 512: matching residue points: [] time 399.7\ntime 399.7\n# python3 1.1.7h_sieve.py 293 (181 s)\n#C(F_p) = 284 time 5.1\norder(G1) = 144612 order(G2) = 2024568\nQ_2 (10,6) mod 32: residue points with matching 2-primary class: [(0, 0), (1, 20), (119, 277), (124, 164), (162, 64), (197, 60), (47, 88), (60, 82), (68, 67)]\n (0, 0) equals Q_3 class: False equals R_3 class: False\n (119, 277) equals Q_3 class: False equals R_3 class: False\n (124, 164) equals Q_3 class: False equals R_3 class: False\n (47, 88) equals Q_3 class: False equals R_3 class: False\n (60, 82) equals Q_3 class: False equals R_3 class: False\n (68, 67) equals Q_3 class: False equals R_3 class: False\n (162, 64) equals Q_3 class: False equals R_3 class: False\n (197, 60) equals Q_3 class: False equals R_3 class: False\n (1, 20) equals Q_3 class: False equals R_3 class: False\nsanity (6,4) 2-primary ok: True 3-primary ok: True\nsanity (0,0) 2-primary ok: True 3-primary ok: True\nsanity (-1,0) 2-primary ok: True 3-primary ok: True\ntime 180.9\n" }, { "path": "anc/code/1.1.8/data/classgroup_params.json", "size_bytes": 1035, "sha256": "fc6cde3a7caae10c89506fa71a8e69c5573066faee3d1379389f9b8e4e0c025c", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4+y^3+2x-y+1=0\",\n \"section\": \"1.1.8\",\n \"field\": \"K = Q[x]/(f), f = bitangent slope polynomial of C: -u^3+u+z^4+2z+1 = 0 (bitangents u = m z + eta)\",\n \"polynomial\": \"x^27-480*x^19+2688*x^18+17280*x^15-34560*x^11-141312*x^10-162816*x^9+165888*x^7+221184*x^6-94208*x^3-49152*x+32768\",\n \"field_discriminant\": \"5505237022261200366725146950702947368960000000000\",\n \"signature\": [7, 10],\n \"support\": 10000000,\n \"principal_bound\": 100000,\n \"window_heights\": [328179909, 418999901, 486465127, 548524558, 604966876, 658426476, 707654442, 751528923, 789740820, 824567676, 857974036, 886593925, 911712066, 934647330, 950331181, 962163137, 972320800, 980305785, 986268502, 991134640, 994780832, 997171145, 998889603, 1000000000, 1000000000, 998889603, 997171145, 994780832, 991134640, 986268502, 980305785, 972320800, 962163137, 950331181, 934647330, 911712066, 886593925, 857974036, 824567676, 789740820, 751528923, 707654442, 658426476, 604966876, 548524558, 486465127, 418999901, 328179909],\n \"precision_bits\": 224\n}\n" }, { "path": "anc/code/1.1.8/expected/1.1.8a.txt", "size_bytes": 1612, "sha256": "f711e86c626a3739b71b4787677a4dcf0081b767eef9f13b63538e0f92de3e56", "mode": 420, "encoding": "utf-8", "text": "transport F(z,-u) == G(u,z): 1\nchart at O: W^4 + (2*Z + 1)*W^3 - W + Z^4; d/dW at (0,0) = -1 (unit in every characteristic)\nline W=0 meets C in: Z^4 (4-fold at O: hyperflex)\nG_u = (-3*u^2 + 1), G_z = 4*z^3 + 2; 12G - 4u G_u - 3z G_z = 18*z + (8*u + 12) => value at a critical point = (4u+9z+6)/6\ncritical point check: [0, Mod(0, X^6 - 9*X^4 - 8*X^3 + 27*X^2 - 72*X - 11)]\ncritical value == (4u+9z+6)/6: 1\ncritical_value_norm = -7100725/5038848 = [-1, 1; 5, 2; 431, 1; 659, 1] / [2, 8; 3, 9]\nnorm of the Hessian at the critical point = [-1, 1; 2, 14; 3, 9] (unit away from 2,3)\n bad p = 5: prime of L with residue degree 2, valuation of critical value 1 -> 2 geometric node(s) of thickness 1\n bad p = 431: prime of L with residue degree 1, valuation of critical value 1 -> 1 geometric node(s) of thickness 1\n bad p = 659: prime of L with residue degree 1, valuation of critical value 1 -> 1 geometric node(s) of thickness 1\np = 2: affine F_p-rational singular points List([[1, 1]])\np = 3: affine F_p-rational singular points List([])\np = 3: G_u = 1-3u^2 == 1 (mod 3), so C is smooth at 3\nRes_e factors (degree, multiplicity): [[27, 1]]\ndegree-27 factor == f: 1; f irreducible: 1; real roots: 7\nidentity F(m z+eta, z) = (z^2 - m^3 z/2 - 3 m^2 eta/2 - m^6/8)^2: 1\npoldisc(f) (trial division to 1e7): [2, 390; 3, 56; 5, 20; 41, 2; 431, 6; 659, 6; 15392507197, 2]\nnfcertify (empty = maximal order certified): []\nsignature [7, 10]; disc 5505237022261200366725146950702947368960000000000 = [2, 30; 5, 10; 431, 6; 659, 6]\ndisc == 2^30 5^10 431^6 659^6: 1\nprimes over 2 (e,f): [[8, 3], [1, 3]] (165 ms)\n" }, { "path": "anc/code/1.1.8/expected/1.1.8b.txt", "size_bytes": 747, "sha256": "98483c1d052e3734a61e77984e5038e3b52014ae5462e1eee1fb3a4ef3dc50e1", "mode": 420, "encoding": "utf-8", "text": "BLOCK 2 1000001 RATIONAL_PRIMES 78498 SECONDS 16.1\nBLOCK 1000002 2000001 RATIONAL_PRIMES 70435 SECONDS 25.0\nBLOCK 2000002 3000001 RATIONAL_PRIMES 67883 SECONDS 34.7\nBLOCK 3000002 4000001 RATIONAL_PRIMES 66330 SECONDS 44.8\nBLOCK 4000002 5000001 RATIONAL_PRIMES 65367 SECONDS 53.0\nBLOCK 5000002 6000001 RATIONAL_PRIMES 64336 SECONDS 61.0\nBLOCK 6000002 7000001 RATIONAL_PRIMES 63799 SECONDS 68.9\nBLOCK 7000002 8000001 RATIONAL_PRIMES 63129 SECONDS 75.5\nBLOCK 8000002 9000001 RATIONAL_PRIMES 62712 SECONDS 83.7\nBLOCK 9000002 9999999 RATIONAL_PRIMES 62090 SECONDS 94.7\nRANGE 2 9999999 SUPPORT 10000000 RATIONAL_PRIMES 664579 DISTINCT_NORMS 360422 PRIME_IDEALS 665664 SHA256 dc0aa91dec4c6be0fae5cb260c06913de8b04411eab6c21d83d6f7071e4635e8 SECONDS 95.6\n" }, { "path": "anc/code/1.1.8/expected/1.1.8c.txt", "size_bytes": 562, "sha256": "89038265436376c12e300babb324525b6a2ae5204a68b53e538bee8b6c88cf75", "mode": 420, "encoding": "utf-8", "text": "BLOCK 2 20001 IDEALS 2266 SECONDS 50.5\nBLOCK 20002 40001 IDEALS 4248 SECONDS 80.8\nBLOCK 40002 60001 IDEALS 6013 SECONDS 102.8\nBLOCK 60002 80001 IDEALS 7764 SECONDS 124.4\nBLOCK 80002 100000 IDEALS 9432 SECONDS 148.1\nWITNESSES 9432 STRICT 7484 DIRECT 1948 BY_DEGREE {\"1\": 9347, \"2\": 71, \"3\": 6, \"4\": 6, \"6\": 2} BOUND 100000 RANGE 2 100000 SECONDS 148.1\nALL 9432 PRIME IDEALS OF NORM <= 100000 OVER p IN [2, 100000] HAVE VALID WITNESSES; COFACTOR_ONE 1965 COFACTOR_GT_ONE 7467 BY_DEGREE {\"1\": 9347, \"2\": 71, \"3\": 6, \"4\": 6, \"6\": 2} WITNESSES_USED 9432 SECONDS 18.3\n" }, { "path": "anc/code/1.1.8/expected/1.1.8d.txt", "size_bytes": 764, "sha256": "43284d88bd28bba406370d325f814659b48d35f277ea6ade2a31d00215f19313", "mode": 420, "encoding": "utf-8", "text": "degree = 27\nsignature = [7, 10]\nsupport_count_bound = 10000000\nprincipal_bound = 100000\ncells = 48\nprecision_bits = 224\nexp_terms_dropped = false\nprime_ideals_norm_below_support = 665664\nprime_ideals_proved_principal = 9432\nprime_power_terms = 360723\nprime_power_terms_with_multiplicity = 666190\nknot_straddling_terms = 0\narchimedean = \"[-0.873380190425780748703324857763 +/- 3.38e-31]\"\nprime_sum = \"[0.966424801163642608925660142701 +/- 3.51e-31]\"\npositive_part = \"[1.012476661043212229880601 +/- 3.01e-25]\"\nnegative_part = \"[-0.04605185987956962095494116 +/- 2.66e-27]\"\nB = \"[0.09304461073786186022233528493868798942962 +/- 3.19e-42]\"\nB_rigorously_positive = true\nseconds = 5.5\nB_INTERVAL [0.09304461073786186022233528493868798942962 +/- 3.19e-42] POSITIVE True\n" }, { "path": "anc/code/1.1.8/expected/1.1.8e.txt", "size_bytes": 1187, "sha256": "53c2be620859bb9ef032f7dec698cdf9c738c43aa02afa435ba39de3aef1832e", "mode": 420, "encoding": "utf-8", "text": "atomic elements: 85 all integral: 1\ndistinct primes in atomic divisors: 61\nall 19 classes have even valuation away from 2 (S-classes): 1\ndyadic (e,f): [[8, 3], [1, 3]]\nnorm sign row: [1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1]\nnorm v2 row: [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\nrank of the 19 classes via 138 residue characters: 19\ndimension after norm conditions: 17\np=7 residue degrees [9, 9, 9] e [1, 1, 1]\n dimension after p=7: 15\np=11 residue degrees [9, 9, 9] e [1, 1, 1]\n dimension after p=11: 13\np=59 residue degrees [9, 9, 9] e [1, 1, 1]\n dimension after p=59: 11\np=83 residue degrees [9, 9, 9] e [1, 1, 1]\n dimension after p=83: 9\ndimension after norm and good-prime conditions: 9 time 12186 ms\ngcd degree in eta: 1\nbitangent identity holds: 1\nuniformizer check: [1, 0, 0, 1]\nunit square-class dims: 25 + 4; with valuation parity: 26 + 5\ninfinity point t=2: v2(w)=4 residual v2 = 151\ndyadic valuations of the three point values: [[0, 0], [2, 0], [0, 0]]\nrank of the three local point images: 3\nSelmer (fake) dimension: 2\nkernel basis (1-based class support; span = ): [[3, 5, 19], [5, 14]]\ntotal time 12765 ms\n" }, { "path": "anc/code/1.1.8/expected/1.1.8f.txt", "size_bytes": 6972, "sha256": "f258f2c476f479c596bced023cbfb2f65724fa050f351c404670585211d4b18d", "mode": 420, "encoding": "utf-8", "text": "#monomials = 17\nw-series residual valuation: 2404\nclosed form check: [3316, 3313, 3312]\nmin 2-val of differential coefficients (first NT): 0\nh_0 = (143381000618422479555351877436640*z^3 + 381041542863276922089969601402200*z^2 + 357096906989192584178256025867270*z + 116002740444495609677600815876869)*u^2 + (82719897608093048604165038694694*z^5 + 175670624861668247362043299478413*z^4 - 2966721151141891070887977896544*z^3 - 354922358088448666233147953965500*z^2 - 389614761345541782295432521858840*z - 134393193263533662801655487548683)*u + (-181321548542250236803937958848648*z^6 - 828578413806651102169294932910168*z^5 - 1835904145743392020619758574033096*z^4 - 2450022069277005022815119550031312*z^3 - 1954061355657835289021868189903128*z^2 - 839143625475022588233355752435592*z - 146457058615201166772205512592200)\n order at P_0: 16\n norm factorization (z): [z + 1, 16; 566017637770505698119943524500844269892680759719934322395311557510902457583511096520887756407384*z^3 - 4959888612987877158085381128017681237033312576200071614904555962710901038813635496643485064789892*z^2 + 585191937822433757459474239952043583351258724915389265873241210518452722634873805550343196411202*z - 3398242394004663148808690022219531638301273765109778306381334561085620187500692562009000114584715, 1]\n residual: deg 3 squarefree? 1 value at z=-1: -9509340582585479762473488914690100728578525825945173509554443291825876406532712960723716132193193\n gcd degree in u: 1\n charpoly t: x^3 + 950542092299143688203233730398291177562897797105316457717571909035753869353973762688648577388001593499703649364795483726590838616/991668930880421800411131940414381846518843029044915758408997469725053029357297187724701212449774929865535749915479421541508376369*x^2 - 2650337691358012886243069223631314306883415283880738377258312369787389432875807213673129390893622987983245997292767990860857768/23062068160009809311886789311962368523694023931277110660674359761047744868774353202900028196506393717803156974778591198639729683*x - 281102262879546730455362299183058138145062663388726444197006214231263655275101913307960118108154582972614627803679017795484002210/991668930880421800411131940414381846518843029044915758408997469725053029357297187724701212449774929865535749915479421541508376369\n charpoly w: x^3 + 590553184136942519836759909326440483683116833330264341602028391843742642951358058860255008297001563989355135748444632190828888336/991668930880421800411131940414381846518843029044915758408997469725053029357297187724701212449774929865535749915479421541508376369*x^2 + 806638427399983238607294407761653874598024336277074868339126203543742879992069925976093812752725018698716890042414508051585144448/991668930880421800411131940414381846518843029044915758408997469725053029357297187724701212449774929865535749915479421541508376369*x - 46820921040750931901989624489148009057339717637932148225738690132280050525134587792715006617502967650579143096515496890263220496/991668930880421800411131940414381846518843029044915758408997469725053029357297187724701212449774929865535749915479421541508376369\n 2-vals coeffs t: [1, 3, 3, 0] w: [4, 7, 4, 0]\nh_1 = (79194945001772822239464*z^3 + 113606438266518545804844*z^2 - 13383736700871563281688*z - 6909858709103625678079)*u^2 + (10756375778179615458496*z^5 + 70044503640213425753475*z^4 - 34635104401891771524448*z^3 - 160161871040053993732752*z^2 - 22104950836708738926842*z + 2913855964778080705523)*u + (49777884733942117649836*z^6 + 107776319463977402241588*z^5 - 60196570540275509785564*z^4 - 125272971678259248236104*z^3 + 44169171197707447453892*z^2 + 58802032752063905151020*z + 7889355864535934950311)\n order at P_1: 16\n norm factorization (z): [z + 1, 16; 1244508588836977817396673006656099177369252165041662354790500007936*z^3 + 531793576050799743867752430130842640136782540894602717876788161728*z^2 + 11012644195637786657146683472275142470554881546479958990656146208*z - 27179373495297367458438697409203957342833054723310994255409301909, 1]\n residual: deg 3 squarefree? 1 value at z=-1: -750907030477113227644505957406735637045857560416850590159777294325\n gcd degree in u: 1\n charpoly t: x^3 - 1666854998415975548729357106337785413427593549606328552689053636182713788081873450107896/4096414203123636446354796346894100122497384020639583706455634486688668658245762758226321*x^2 + 2401023030163434364589007878354745233155950032562281618950983300715239402584175698409444/4096414203123636446354796346894100122497384020639583706455634486688668658245762758226321*x - 292351554730913635869107293266142057883657887852081455553693523182239724092528323068864/4096414203123636446354796346894100122497384020639583706455634486688668658245762758226321\n charpoly w: x^3 + 8154210901247049728005180305919790924128326426380880142784986091161708693390835656562656/4096414203123636446354796346894100122497384020639583706455634486688668658245762758226321*x^2 + 10916314546829643565560986117677325681110312391211482988516104413353672761103403617825024/4096414203123636446354796346894100122497384020639583706455634486688668658245762758226321*x - 13386402040702562366555044264652782754615871863566221968639575396669316855158516278624256/4096414203123636446354796346894100122497384020639583706455634486688668658245762758226321\n 2-vals coeffs t: [6, 2, 3, 0] w: [24, 8, 5, 0]\nlog G0 (2-adic, mod 2^40): [1 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^9 + 2^11 + 2^14 + 2^16 + 2^18 + 2^19 + 2^20 + 2^21 + 2^24 + 2^25 + 2^34 + 2^37 + O(2^40), 2^-1 + 2^2 + 2^3 + 2^5 + 2^6 + 2^13 + 2^14 + 2^16 + 2^17 + 2^18 + 2^20 + 2^21 + 2^23 + 2^27 + 2^28 + 2^29 + 2^36 + 2^37 + 2^38 + O(2^40), 1 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^10 + 2^11 + 2^13 + 2^14 + 2^16 + 2^17 + 2^18 + 2^19 + 2^21 + 2^22 + 2^24 + 2^25 + 2^26 + 2^30 + 2^33 + 2^36 + 2^37 + O(2^40)]\nlog G1 (2-adic, mod 2^40): [2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 + 2^9 + 2^10 + 2^12 + 2^18 + 2^21 + 2^25 + 2^26 + 2^27 + 2^28 + 2^29 + 2^33 + 2^36 + O(2^40), 2^-2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^10 + 2^11 + 2^12 + 2^14 + 2^15 + 2^16 + 2^17 + 2^19 + 2^21 + 2^22 + 2^23 + 2^26 + 2^27 + 2^28 + 2^29 + 2^30 + 2^32 + 2^33 + 2^39 + O(2^40), 2^-1 + 2^3 + 2^4 + 2^5 + 2^6 + 2^8 + 2^10 + 2^11 + 2^13 + 2^15 + 2^18 + 2^19 + 2^21 + 2^22 + 2^23 + 2^26 + 2^29 + 2^30 + 2^32 + 2^33 + 2^38 + 2^39 + O(2^40)]\n4 log G0 mod 2^12: [3044, 434, 1012] 4 log G1 mod 2^12: [4064, 481, 1506]\nvaluations log G0: [0, -1, 0] log G1: [3, -2, -1]\ncofactor valuations: [0, -1, -2] min -2\nannihilator raw mod 16: [2^2 + 2^3 + O(2^4), 2 + 2^2 + 2^3 + O(2^4), 1 + 2^3 + O(2^4)]\nannihilator normalized so a2=9 mod 2^40: [2^2 + 2^3 + 2^5 + 2^6 + 2^9 + 2^10 + 2^12 + 2^16 + 2^18 + 2^19 + 2^20 + 2^21 + 2^25 + 2^27 + 2^30 + 2^31 + 2^32 + 2^34 + 2^35 + 2^36 + 2^37 + O(2^40), 2 + 2^2 + 2^3 + 2^6 + 2^9 + 2^10 + 2^12 + 2^13 + 2^14 + 2^15 + 2^16 + 2^17 + 2^18 + 2^19 + 2^21 + 2^25 + 2^28 + 2^29 + 2^30 + 2^34 + 2^35 + 2^36 + O(2^40), 1 + 2^3 + O(2^40)]\nannihilator mod 16: [12, 14, 9] COFACTORVAL -2\nannihilator (integers mod 2^40): [265386006124, 122174830158, 9]\n" }, { "path": "anc/code/1.1.8/expected/1.1.8g.txt", "size_bytes": 540, "sha256": "7e6df416861457fae2cdecd2e0c0e9230cb4c5ab7af6a78a6032ed53cd15e0e9", "mode": 420, "encoding": "utf-8", "text": "even chart eq residual val: 401\nDe matches TeX formula: 998\neven chart: v2([t^n]H_e) n=1..12: [0, 4, 2, 2, 3, 8, 10, 6, 8, 8, 12, 12]\neven chart bound violations (capped at 30): 0\nodd chart eq residual val: 201\nDo matches dz/F_u form: 200\nodd chart: v2([t^n]H_o) n=1..14: [0, 0, 4, 1, 3, 3, 4, 3, 7, 4, 6, 5, 6, 6]\nodd chart bound violations (capped at 30): 0\nv2(H_o(-1)) with truncated series (expect >= ~30, limited by annihilator precision 40 and tail): 41\nH_e mod 2 low poly: Mod(1, 2)*x\nH_o mod 2 low poly: Mod(1, 2)*x^2 + Mod(1, 2)*x\n" }, { "path": "anc/code/1.1.9/data/1.1.9e_field_input.json", "size_bytes": 1405, "sha256": "6e682d6462bf1872781e50a91c9109de9b5ab00ca8b2b8e008f8c570989de446", "mode": 420, "encoding": "utf-8", "text": "{\"id\":\"L1024-011197\",\"polynomial_coefficients\":[\"-32768\",\"49152\",\"0\",\"-126976\",\"0\",\"0\",\"-221184\",\"-165888\",\"0\",\"-162816\",\"-141312\",\"-34560\",\"0\",\"0\",\"0\",\"17280\",\"0\",\"0\",\"-2688\",\"480\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"1\"],\"degree\":27,\"signature\":[3,12],\"discriminant\":\"4150490676440774655225550489056357993175100440969216\",\"eta_coefficients\":[\"-1912307821901248/15904697019129513\",\"47611763686286419/31809394038259026\",\"44375804082968263/31809394038259026\",\"5735859465804701/4544199148322718\",\"183700007389058827/63618788076518052\",\"380528718353337749/127237576153036104\",\"86001685516023551/42412525384345368\",\"8965607323261822/5301565673043171\",\"100464425261978507/127237576153036104\",\"-3644503312843675/63618788076518052\",\"-28258459773994145/169650101537381472\",\"-7870404278548723/42412525384345368\",\"-6242118377779589/127237576153036104\",\"-151804739269657603/2035801218448577664\",\"7917616889215097/169650101537381472\",\"468146205296839/113100067691587648\",\"8631073097230387/678600406149525888\",\"-12783815892653279/2035801218448577664\",\"21669477069825/32314305054739328\",\"2152388026713/904800541532701184\",\"20057411515459/2714401624598103552\",\"-11622396232351/8143204873794310656\",\"-72466064770231/10857606498392414208\",\"-4992000128593/517028880875829248\",\"-11823755464383/3619202166130804736\",\"-28849706046617/5428803249196207104\",\"45083842663217/32572819495177242624\"],\"original_equation\":\"x^3+x+y^4+2*y+1=0\"}" }, { "path": "anc/code/1.1.9/data/1.1.9e_rank_input.json", "size_bytes": 471768, "sha256": "611f3f81d54c31d37ce044d22876b4341eb052e4ad3ff44acb0a3c34c38c6366", "mode": 420, "encoding": "utf-8", "text": "{\"id\":\"L1024-011197\",\"field\":[\"-32768\",\"49152\",\"0\",\"-126976\",\"0\",\"0\",\"-221184\",\"-165888\",\"0\",\"-162816\",\"-141312\",\"-34560\",\"0\",\"0\",\"0\",\"17280\",\"0\",\"0\",\"-2688\",\"480\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"1\"],\"eta\":[\"-1912307821901248/15904697019129513\",\"47611763686286419/31809394038259026\",\"44375804082968263/31809394038259026\",\"5735859465804701/4544199148322718\",\"183700007389058827/63618788076518052\",\"380528718353337749/127237576153036104\",\"86001685516023551/42412525384345368\",\"8965607323261822/5301565673043171\",\"100464425261978507/127237576153036104\",\"-3644503312843675/63618788076518052\",\"-28258459773994145/169650101537381472\",\"-7870404278548723/42412525384345368\",\"-6242118377779589/127237576153036104\",\"-151804739269657603/2035801218448577664\",\"7917616889215097/169650101537381472\",\"468146205296839/113100067691587648\",\"8631073097230387/678600406149525888\",\"-12783815892653279/2035801218448577664\",\"21669477069825/32314305054739328\",\"2152388026713/904800541532701184\",\"20057411515459/2714401624598103552\",\"-11622396232351/8143204873794310656\",\"-72466064770231/10857606498392414208\",\"-4992000128593/517028880875829248\",\"-11823755464383/3619202166130804736\",\"-28849706046617/5428803249196207104\",\"45083842663217/32572819495177242624\"],\"gens\":[[\"-236853269718485/252455508240151\",\"33369095710268057/31809394038259026\",\"3202244929491358/757366524720453\",\"56259378604310941/63618788076518052\",\"-164580637442941399/127237576153036104\",\"93031684068564457/21206262692172684\",\"563870211859872349/84825050768690736\",\"488832046585494413/254475152306072208\",\"50839107494080379/127237576153036104\",\"3259156894764836/5301565673043171\",\"51687454395740867/1017900609224288832\",\"-610910108986374013/1017900609224288832\",\"-527521162051906927/2035801218448577664\",\"59504533223925859/339300203074762944\",\"-1488354604873855/1357200812299051776\",\"11758634864475053/452400270766350592\",\"-38488017405202411/1163314981970615808\",\"23203314407606759/1357200812299051776\",\"-2061617958599025/904800541532701184\",\"256962583081837/16286409747588621312\",\"1163491126381573/32572819495177242624\",\"30841429150079/4653259927882463232\",\"-2303631554813/1017900609224288832\",\"-1931379509899019/65145638990354485248\",\"-487626926204599/32572819495177242624\",\"139321691903861/14476808664523218944\",\"-401810742073873/86860851987139313664\"],[\"0\",\"0\",\"1/2\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\"],[\"-2489355803468479213891843483022720449610105539268899648/252455508240151\",\"-552525649328737079820888990302307627257279578735184000/252455508240151\",\"1768863059279506186162510613821570168463793088973120656/252455508240151\",\"-2479222688522692463550631391748313614469838462715545000/252455508240151\",\"-862218391117901295324357101006083389949987456338910028/252455508240151\",\"5642516296211040043051485783988951967255881404029489616/252455508240151\",\"3079874213841191004516300378697754996660995331537323510/252455508240151\",\"-293224480089136670087851985785854975910261557286975262/252455508240151\",\"5220269705809994223096085525526668177860054964462280443/252455508240151\",\"4359842074989847222055332131080735768067906489510780086/252455508240151\",\"1092218045375008657174098780209062859053836535756509767/252455508240151\",\"102400297685247124400294022728453116217791572367614023/252455508240151\",\"345524529078853527861640007603557575204756585817608703/1009822032960604\",\"-79320318216988239894424852727908979916006892359836166/252455508240151\",\"-4210404935395170038850532480518819565236548680183853379/2019644065921208\",\"-46095023516203868778148967995204393657606393401132421/1009822032960604\",\"53940612052943766355405595134671141769803884869627687/1009822032960604\",\"621408393322678018090229237217007427227829933215177803/2019644065921208\",\"-453420269676164514336526006140512396588807202031350421/8078576263684832\",\"-440753361426637318596070538668896734979103383308077/4039288131842416\",\"153652052214892051852389668721363370176090481349061/4039288131842416\",\"-29069723842334911758256584062047493222000831333477/8078576263684832\",\"558930857554858994675419069745082338563004253988129/32314305054739328\",\"24050484561168495832429197105143393889774620073875/1009822032960604\",\"1320011137307446040631878622334314064759051535150535/64628610109478656\",\"-1016184925102399365550472747579889467924144493697369/64628610109478656\",\"-7595162882130763660730269519774501248805876326513691/64628610109478656\"],[\"6124223931188592130542429315994792995273088048/252455508240151\",\"-787379062780627677626865994736479465769662629736/252455508240151\",\"-1204565185073242375303775220709976692145472374024/252455508240151\",\"-951422763158818020609642832683135761464835766498/252455508240151\",\"-2057965996378347330222628748843210811242311528284/252455508240151\",\"-3036523955389647297430721087479808059748672614933/252455508240151\",\"-2072774433373811723638546605428483301784958900582/252455508240151\",\"-1632876328056207426506979337664772860004708369974/252455508240151\",\"-2306791207697813041890592756035442047591297156265/252455508240151\",\"-2715408035180889111763560127642212838084013182097/504911016480302\",\"-534936644089141913282235474842645060862861628571/504911016480302\",\"165833204067334578681622454232937667244607318825/2019644065921208\",\"121729574314965377633927375622950375283653548843/504911016480302\",\"228327262724062655831637100666770931976016552481/504911016480302\",\"2075895334846467784401027690291347856075941381199/4039288131842416\",\"-158907631665554452775255685335655962128833380087/8078576263684832\",\"-596181396273742529206966877859886321791937022083/8078576263684832\",\"-520148877674283507001202635861964895265391253797/8078576263684832\",\"163855991848159727255601744947636682886704940017/16157152527369664\",\"87951700481516224692969345841536342306519711599/32314305054739328\",\"-10345793309715472565236035614608404200754589409/8078576263684832\",\"34195063069985854830467251467351175164367884351/64628610109478656\",\"-12541111619557277807475466554761631913126731773/64628610109478656\",\"272785050866677253988438621556760138716506583/4039288131842416\",\"-335099694317860545665246690240967423387390785/129257220218957312\",\"7462988087207770702297115709947545454785449433/258514440437914624\",\"8044188782419346064032156289921303044193994679/258514440437914624\"],[\"209398892677203783580780659103386572894032551768424/252455508240151\",\"-46415854144410382395399373498804690808339675237412/252455508240151\",\"224757532089543774249098234000038191428272440482876/252455508240151\",\"353718625508096982490487123994222585568121139975379/252455508240151\",\"46450428922961445697647202888346144839723524688029/252455508240151\",\"788158494815582087105278470322115145750901206046224/252455508240151\",\"1427251013095699672352242555987649832211573293185677/252455508240151\",\"1107813412702320179149294743047447944527573332458272/252455508240151\",\"5130639025708069584025152637170097732002128986527299/1009822032960604\",\"14548557024609375356974429432850633335335700355687379/2019644065921208\",\"4374550084883621683024513752537289416351946724358951/2019644065921208\",\"1130284127034232314797591891545909306475810952655671/4039288131842416\",\"-226334544281883201004827860246188674694831110861143/2019644065921208\",\"-2902218219216142575719158285461388620182326587986357/8078576263684832\",\"-705896420949605139919128932770651997366185773358775/2019644065921208\",\"-5496966324382585480838677049090031092592386813827613/16157152527369664\",\"880339527943119837844757430193500240763097067324025/4039288131842416\",\"-252077622548921175366907649862402268009792747315763/8078576263684832\",\"2359338478513975244019952039448837955133525323591583/32314305054739328\",\"-2903072173317230635538462234837444998927160573015185/64628610109478656\",\"589293567563571829000925134394945586937919607678457/32314305054739328\",\"-831034089343130578557993996854984786870233632260361/129257220218957312\",\"65581630064344936447375071342241690794636754597385/32314305054739328\",\"-61880012413499108195019524577149068586070356011979/129257220218957312\",\"11347836596899225631326290318047885433635280807445/258514440437914624\",\"4319773038151716675930451991492420202217904354331/258514440437914624\",\"-7056420410759175944549687267567049447332869806013/129257220218957312\"],[\"62675319422000137353542006831680349673215470051645568/2272099574161359\",\"-41007291415663843396189485597385103640830864022875648/757366524720453\",\"52834267008852718310542885691467635603635282111088512/2272099574161359\",\"25970781144254602195191213864287417919147262175465312/252455508240151\",\"-93744939768610844387660479383047969513975615778327944/2272099574161359\",\"46871230926676997553859966424761982314909676558105228/2272099574161359\",\"433825175133531706375007084727216375927810934493855692/2272099574161359\",\"17498757198142579549081119237761704996886230496901212/252455508240151\",\"-59402657287694938403445815261200787439401694475634494/2272099574161359\",\"357622092521801213002059796962533105894416517143305370/2272099574161359\",\"46933487328841752891897368539471953925260249360905894/757366524720453\",\"12163184763082032125676978303059195380374699673109335/4544199148322718\",\"-2145810011619784458419739314007051831303647856636100/2272099574161359\",\"2535598070985778138410794401099339347998886117027925/9088398296645436\",\"-2176360528956928254573635499906690481255179416878985/4544199148322718\",\"-273515940548668918460435095137966926781865803761722951/18176796593290872\",\"55614878211274625050125053052847114557263658001727713/9088398296645436\",\"-79904776296965585793792919394916634966469921019655723/36353593186581744\",\"27703891429111313019777583507264317065989492172069989/9088398296645436\",\"-56355018778795118170522911575971421974319053422789257/36353593186581744\",\"39601608159000155715967698662988657544062066442079479/72707186373163488\",\"-7884293127917717429118361859179377930940214809691905/48471457582108992\",\"1332563249396576908440565258840656237309029246580425/36353593186581744\",\"-219071331293671447246312321629885646621874252277545/96942915164217984\",\"-302637749611273694229514864952346058593566220556433/72707186373163488\",\"122354043450257363293238747553118209406444570338967/36353593186581744\",\"-1100688713950280680862087653369150781002108165742857/581657490985307904\"],[\"-553640240159029629951903244765802613511407396448288/2272099574161359\",\"-89355660982303502258399893861763273171549362532800/252455508240151\",\"-557640549793570372579363574988737702074633098594904/2272099574161359\",\"-1390322217588666779407809273951886485138752798866508/2272099574161359\",\"-2237579308503168406445539164992008673490227772461210/2272099574161359\",\"-1524575276172193084647337261966001800923409115922452/2272099574161359\",\"-1070143176387747991611359152256744575945750239265816/2272099574161359\",\"-1647173825635087739410926627429298589128978454396638/2272099574161359\",\"-2334950366988771959979645116405470931270649998545411/4544199148322718\",\"-39150600604355994487947906891647781896238204384842/252455508240151\",\"-71928475375246902982168188905949599615561505210581/4544199148322718\",\"72310256058284983923604753146187670601034187214383/9088398296645436\",\"573873989006374325573390191506367609339811800811159/18176796593290872\",\"94441582263108617335228096635103463642524650409791/2019644065921208\",\"238525633893969286781915253610457527299938959187723/36353593186581744\",\"-8986278302556580553020573547086327859805504258203/2019644065921208\",\"-118174713144084201162897624672439592393423232077611/18176796593290872\",\"2885683850186860007612814065881825200446681899057/24235728791054496\",\"7328075057885224806224881994028466058353049616013/48471457582108992\",\"4524945896692413608152919650379642219437030073383/145414372746326976\",\"-1930351339154133616566612310526995209338762679355/145414372746326976\",\"759217343330212760347118270117282741828130340141/145414372746326976\",\"-347479123133486019987440861422702207359654626221/290828745492653952\",\"555431491370003529520843944336975714623609939093/581657490985307904\",\"2158462969323911475722104126878283347136469543359/1163314981970615808\",\"1558824048418509798266274817974712344530152320349/581657490985307904\",\"1123276161236436998709440301361282937926551732475/2326629963941231616\"],[\"-6725885075004791875893036092260691595777866328482294976/252455508240151\",\"-26492689969128622235760471896400396740248304747156596832/757366524720453\",\"-19077893735221886232139995811511195560947583522583828416/757366524720453\",\"-143206330408327975969004382834365846126897851267434194824/2272099574161359\",\"-194096443452038679553905227856655858792647697546720410568/2272099574161359\",\"-12218420338080726700825542370618737060056893437019200720/252455508240151\",\"-95626288603235484927398196655512415945526221732033713250/2272099574161359\",\"-146267279439847112782399246547760581666830527490715843477/2272099574161359\",\"-20372045240327265700538509142251587907604128110137924534/757366524720453\",\"1561453499694892429883373018545091292441260370491949411/4544199148322718\",\"1958453423046198434446131230003408379637010150271359407/757366524720453\",\"6227575138772465101672229059005386885134831801108916143/3029466098881812\",\"15274320596588450169082996334093927620353860832925828157/4544199148322718\",\"15073082800547946691515971965602274158827104763256057583/4544199148322718\",\"-21062020664960074434996625118115457904046567303799015853/18176796593290872\",\"-474832797802997772490578419532933555501506396629735425/1009822032960604\",\"-1003088575893461278317102887631733416349836164347204444/2272099574161359\",\"16729926526891971615352963184284997056564682859264012379/72707186373163488\",\"-97006759178987436911322377153994315618993959546169725/4039288131842416\",\"-161887285127710986672173480144870484692479723649131/16157152527369664\",\"-325963766393650373895144744835803013448371936929119/48471457582108992\",\"2450277676491792339343980422791969046597972097572311/290828745492653952\",\"4688441797854698249174454652150883362803161452711513/96942915164217984\",\"8589711122428658315940958842251652420604962065549615/72707186373163488\",\"114010796417789483277867846964211192980083624054063007/581657490985307904\",\"231792210989856336328913562684696032476829202012363673/1163314981970615808\",\"-1616550199352353936030811662398585149736772200579043/32314305054739328\"],[\"224194446460661035514441087529810474584404459703629908864/252455508240151\",\"-55411869339905763383010352338678892906971949707046490944/252455508240151\",\"-697772108548635281178528367942285468479547324231744738176/252455508240151\",\"1376168930246836958482594998956180082621482799803312391232/252455508240151\",\"852639285956368341328683686505118848336565430143233110176/252455508240151\",\"-965807208851816667756137426517060070908423021497855922300/252455508240151\",\"1892349649524904790452461579857948618568272282987157875390/252455508240151\",\"2833646082768987541417056936704312442245205935795132528653/252455508240151\",\"-321619325522467425677993820907369103123365830479814710098/252455508240151\",\"980331049803161941031587917896475954294496164098467803235/504911016480302\",\"2620678755083375263071313535069046946244234963496555973892/252455508240151\",\"82037151926571644037517884928621345495149462362456793409/1009822032960604\",\"-863502495209822720309933285227093283462845912822497391629/1009822032960604\",\"-190187428427764034473401468119266578058321377745734616561/1009822032960604\",\"310875732580799694393690149810227041830564849263248717163/2019644065921208\",\"-110090965662884793106940190331409838161147649934872382566/252455508240151\",\"-2379358032292514643523228009533890093736036932939152372633/4039288131842416\",\"4428405613423148680458707840826252461137213354285664615439/8078576263684832\",\"-694437913625370705667806234126724726484313900952789809311/4039288131842416\",\"2926157452843918402705516591862358140536524622945238191973/16157152527369664\",\"-2465480814694082184823649627110766140217913617021173748651/16157152527369664\",\"2300343162551744746167372125714056837059684197823381362303/32314305054739328\",\"-868605311408782293010527988622379704458816356050417056223/32314305054739328\",\"377113979970179659208134804056957728364306138245604911715/32314305054739328\",\"-141375623098706774669051935127337807405493136557487302263/32314305054739328\",\"132620789851430723244642747682288970152895809940636780795/129257220218957312\",\"-5946218272634195412828999064735727123455227963213798433/32314305054739328\"],[\"-16717011238890776832003561682647859925087345952/252455508240151\",\"184631417398286789232016940923823888152266695088/252455508240151\",\"325054410024023462632094086804853666286708859392/252455508240151\",\"248460628548528338513416151446739096305453827636/252455508240151\",\"508203923869754625739840133419258472901237939920/252455508240151\",\"804592615833294990184437194600802003835407729764/252455508240151\",\"580136093147386596680494525947852511217883110150/252455508240151\",\"429920336407396520192353246358593537373740738677/252455508240151\",\"611429679857325840130479383087429282128989814494/252455508240151\",\"388171011243711665495709173376264987375341971113/252455508240151\",\"162789075101724144956081770358183959231289396907/504911016480302\",\"-21553227475079102527372074067297574225104351623/1009822032960604\",\"-16253725835030154917404100159155374392355376797/252455508240151\",\"-234821441374409080620906401645072387619984425809/2019644065921208\",\"-284634862140467330174157455697035963069545815545/2019644065921208\",\"-4455814395562234028834825432008686571603937787/2019644065921208\",\"11143825947852587891446694780202968667082211049/504911016480302\",\"135448485093133307731075304512736007506432552559/8078576263684832\",\"-10581638221438977049663482402127820052734154213/8078576263684832\",\"-379315311562487057369151768867182759434021182/252455508240151\",\"2501536163331597029989959000820417003690934211/4039288131842416\",\"-914527172110394063345693200539166407104585385/4039288131842416\",\"2343365384843648323052702096514461426309019343/32314305054739328\",\"-1298578113916403897958019120795991652930224367/64628610109478656\",\"-55470415525687981378265176506889657962430707/64628610109478656\",\"-764937096557044977235078663785244247631597645/129257220218957312\",\"-608079476828136468690767451774434550285869379/64628610109478656\"],[\"12905628527072143727821126464257453461273546032674800192/252455508240151\",\"-22008828757462127062262522903418702047657803370550510272/252455508240151\",\"4213939263301625519474010697544601292812855922454842704/252455508240151\",\"49687458966614455490252373189904361079975388007966205864/252455508240151\",\"-11876558216888856086891726038681266650546235982580304844/252455508240151\",\"563646237944833421762512457414844848666640426060528656/252455508240151\",\"86895310321300544117721401066552095297155049925756189946/252455508240151\",\"44439857400743100945065850335526211719394579764307326152/252455508240151\",\"-13393574597231579633168056077106907886875226104852780349/252455508240151\",\"65830122879996012155251024711769698127101759046406349311/252455508240151\",\"40853142870688507640337190079079870934330329586247355097/252455508240151\",\"2921722090615415414216649786309539486633596702629055595/504911016480302\",\"-841818110464072223953786235458660613729993035565576845/504911016480302\",\"400834185841763562551344216597626352630350132644062229/1009822032960604\",\"319516688137414100766122212493123146398623084351240211/2019644065921208\",\"-13492311305090432751030798910506365176020093305802349839/504911016480302\",\"24097311020183778643233468314750954578623881439092715865/4039288131842416\",\"-1287601854827419466920371085846527111820927888810541963/4039288131842416\",\"27848999672785536911410041669746382267167484180348433955/8078576263684832\",\"-8845557838297290687648438461169150874464828870017937285/8078576263684832\",\"-855926334923450591103243726765966874299360668846404583/8078576263684832\",\"2005471371826301300306368634118784896213395155499179361/8078576263684832\",\"-5423462562852981917672113913191228345213966612833025811/32314305054739328\",\"1394001205996504350343393315332532314248982196033986281/16157152527369664\",\"-615195739446263612751273643048031368792717993001444131/16157152527369664\",\"120570832449773989183135492122083446837582358396993777/8078576263684832\",\"-334927698835051453369950325509682544487903524394074133/64628610109478656\"],[\"-105202687414423948586167799786844232258197189996793717984/2272099574161359\",\"129578911405392432706072487242360797255712588054904523536/2272099574161359\",\"34077123099913481446607681949184679957990279460534384720/252455508240151\",\"87101740072315853907171597566686021756902625210901792804/2272099574161359\",\"121503751072704474258801977527856879143517309712099557048/757366524720453\",\"810652539043735863842184144909847565981517514016273251222/2272099574161359\",\"174953421942494627591120358808855521784666760230703955790/757366524720453\",\"103331578331574192494898410454818680938823944342973283323/757366524720453\",\"656186528649070315698374929200266146224745855238637129910/2272099574161359\",\"427762505752527041265062268951372365170470317084872855622/2272099574161359\",\"94076964909573892990348402730626179894107335245209747522/2272099574161359\",\"-693974438241883643111676198664811396185750414555906627/2272099574161359\",\"-3065553073243092364346957575109992645116171071398172924/757366524720453\",\"-67438263965257547124520015287037001791923895296403566587/6058932197763624\",\"-183097001453169459887329672201587447982096396724626414741/9088398296645436\",\"21663944297366979760774836340205458942321748772932129441/36353593186581744\",\"58241857975951551192202075213162866842243966521458650603/36353593186581744\",\"206409277762466546460728406194645923758524271155005032473/72707186373163488\",\"-40725272033418201712878576806618878433587783534175538359/72707186373163488\",\"-534739745094993642624082497584257245143212540111345/8078576263684832\",\"-26522991461718522883348823670041132982561467665324109/145414372746326976\",\"7703670876731838602283868979121706651333373541684887/290828745492653952\",\"24823102125844268283728901701209781880320900492893397/290828745492653952\",\"-1085727156972098853501316377138071474116841415757337/290828745492653952\",\"-3701946750171268638670225748493037368733697448199775/16157152527369664\",\"-371652979875578449209066811558542655182655826210472335/581657490985307904\",\"-9448076470166422148045848328667509979094027436357613/8078576263684832\"],[\"7578750727308233616748829684614112468864/252455508240151\",\"-136426325435246463431987987239647447067232/252455508240151\",\"-269504871571234485753952973562958586148720/252455508240151\",\"-106027301104881484292811675690676118579840/252455508240151\",\"38027235888371155000340553384217492291972/252455508240151\",\"48702631725776373091666468587486037190628/252455508240151\",\"310426090317108145863471705524145879159416/252455508240151\",\"602562882950143766446504469571630644270192/252455508240151\",\"439530902587551083982007588636697573838190/252455508240151\",\"170529151759598354756780393175270346101666/252455508240151\",\"46941848830986860738046425812548325877085/252455508240151\",\"-6865408632309160680358644746571326621859/252455508240151\",\"-40551073777468403500355804885286886355668/252455508240151\",\"-152050804958874091158674802020215794084437/1009822032960604\",\"-4942097816945267264638220288184863063591/252455508240151\",\"42631901855426093713752443119985490319477/2019644065921208\",\"17443801285111773632007189232035357459867/1009822032960604\",\"865838656612773168893384731862200707905/4039288131842416\",\"-2965496705745860877569052059402249962855/4039288131842416\",\"-19002692105699969756742250736258150471/8078576263684832\",\"-50508428688391067493367095832165688497/16157152527369664\",\"137663050394109700070089399269475972023/16157152527369664\",\"64730401807888931353096153309729050265/8078576263684832\",\"-46646482393117933930594202056758728173/32314305054739328\",\"-506902846954937974438748914948631367121/64628610109478656\",\"-254856376594524413019318960554947396097/32314305054739328\",\"-94792215864740873379760323300388238967/64628610109478656\"],[\"-10226420526902155436363353341883686991398476032/252455508240151\",\"-32933069141686936344692787098075012343709274032/252455508240151\",\"45748938226387694242172721519437110115220562640/252455508240151\",\"38130766810222136769373110555504698340350002460/252455508240151\",\"-180523108504422426932860410840034093545476313338/252455508240151\",\"-193642137922835449435082446789407549971092013111/252455508240151\",\"-3469965812585851659359959545842249516103174865/252455508240151\",\"-173473366993380439280773556925791247061193021113/504911016480302\",\"-541338119896615384899138020142470543495969746037/504911016480302\",\"-659198223311673177383459532804002576166404606463/1009822032960604\",\"-87289677515131136139583006427419727497087662657/504911016480302\",\"-70889281807800960121184723396999435216771781315/1009822032960604\",\"-39274766407712736109835411487053850668886584911/2019644065921208\",\"67486504619598013425357806127288248066381739765/1009822032960604\",\"155813244086448716841067456368180671402347527007/2019644065921208\",\"12867454818677749403557346667797166288805384995/8078576263684832\",\"-78265801599885158510945794896985371046573411739/8078576263684832\",\"-143495329000211813535141991816083243944989887687/16157152527369664\",\"28223606582071155375754307679261633031955778519/16157152527369664\",\"-1456637926341584896891605334447716285662395749/32314305054739328\",\"-49903495157430986584500479808147171810368631/8078576263684832\",\"135779777099460572341232315077047435126945823/32314305054739328\",\"23235432667702042581806511931475973349761215/16157152527369664\",\"-259187552284898097808581029891362892943024669/129257220218957312\",\"-62033308533905910130685824543306596601593003/129257220218957312\",\"229859714657020249057595186725359210452830087/64628610109478656\",\"1003382844448768446838435794187325534837230171/258514440437914624\"],[\"-61315836779405738818757705272654713278457399583440/252455508240151\",\"125571096839396531198322583286642614145754695328632/252455508240151\",\"-113216612613006572176334494424103991388695358742672/252455508240151\",\"-258295366571497257742959035621309713804967349190398/252455508240151\",\"83192998125028056648806210143466766078510657896212/252455508240151\",\"-162889691269842210446146446261980834511469201229556/252455508240151\",\"-518384567302603430701118751036077954885412918690456/252455508240151\",\"-307075912612944131279853145559727604494054889986381/504911016480302\",\"-811036329272528246732718897319243315225511324971/252455508240151\",\"-887237563082038511117743961007118430854644471558893/504911016480302\",\"-432082287375279125549490331220492552265791666638485/1009822032960604\",\"-3566448150568624902788757561759997048134624388610/252455508240151\",\"32998828034930958772378665622678510094020534877825/2019644065921208\",\"30578460713437861842545702760094188859940211959625/4039288131842416\",\"93867919505537497834231851748287151020792461086419/4039288131842416\",\"1180962295749501569552131081436361951083948407316979/8078576263684832\",\"-656431504727466962086517125168430107604298460044621/8078576263684832\",\"537968926029350780336607982995516934785694375105987/16157152527369664\",\"-598313112761610565377590805514865992998749116624717/16157152527369664\",\"175677915341976570304717709622845017352759546437993/8078576263684832\",\"-306630514474656655381293010293162493953020397569275/32314305054739328\",\"29735817937380628020564988566716937741975044337273/8078576263684832\",\"-5108658045939982239978335060493264742775694755913/4039288131842416\",\"23881864566050215175283696844201212573558838543371/64628610109478656\",\"-1265048053901080001731152292764557334902445132789/16157152527369664\",\"502871585569023002642598272596661576699064679671/258514440437914624\",\"50477759531030723050858879367535291364462349507/4039288131842416\"],[\"-13790163906915837472307001296634920025760095392/252455508240151\",\"-11525321317920152755149825747156603394647385000/252455508240151\",\"-6324460889239473637196344326228067284131684548/252455508240151\",\"-28208667260926228773913349408373765105737641276/252455508240151\",\"-29246934224373366301010631263730978979105415943/252455508240151\",\"-8653764450576779117175670325276182429114263649/252455508240151\",\"-32386899740746623354168765655946859616608395721/504911016480302\",\"-49032579212818319606992811678670179497173302353/504911016480302\",\"262544431631887173266930855898902047375715113/252455508240151\",\"5612355680228928700488603804256283626158569971/1009822032960604\",\"-5002431315630337227674745077412927342016173839/2019644065921208\",\"5527525197422839438094493647937611872261572793/1009822032960604\",\"21793182050268753591901639099300990350655788689/4039288131842416\",\"12452190816036495720837161293527889052324765483/4039288131842416\",\"-34663404621404376309607041082658617144954172607/8078576263684832\",\"5765336741217910410025274248532470785778913661/4039288131842416\",\"-17741033292555462790568453714269023719909430379/16157152527369664\",\"9794365338668012625634465248720685833934440625/16157152527369664\",\"-2069967404624051335977600985627784897481900831/8078576263684832\",\"1630172861092092699564263028246971090708015095/16157152527369664\",\"-725063785910739674955399477523422745629644655/64628610109478656\",\"-476908680219982284577190736939307409799380911/32314305054739328\",\"485967979086233539984914329690184552398523119/64628610109478656\",\"46586669934899782511963931792064946200140091/129257220218957312\",\"-76483358978835489750664021105311288498337129/64628610109478656\",\"101944770605370438382681782971108581490243343/129257220218957312\",\"-87503569079734314542909844714250009511344361/517028880875829248\"],[\"-1\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\"]],\"signature\":[3,12],\"discriminant\":\"4150490676440774655225550489056357993175100440969216\",\"membership\":{\"elements\":[{\"element\":[\"-236853269718485/252455508240151\",\"33369095710268057/31809394038259026\",\"3202244929491358/757366524720453\",\"56259378604310941/63618788076518052\",\"-164580637442941399/127237576153036104\",\"93031684068564457/21206262692172684\",\"563870211859872349/84825050768690736\",\"488832046585494413/254475152306072208\",\"50839107494080379/127237576153036104\",\"3259156894764836/5301565673043171\",\"51687454395740867/1017900609224288832\",\"-610910108986374013/1017900609224288832\",\"-527521162051906927/2035801218448577664\",\"59504533223925859/339300203074762944\",\"-1488354604873855/1357200812299051776\",\"11758634864475053/452400270766350592\",\"-38488017405202411/1163314981970615808\",\"23203314407606759/1357200812299051776\",\"-2061617958599025/904800541532701184\",\"256962583081837/16286409747588621312\",\"1163491126381573/32572819495177242624\",\"30841429150079/4653259927882463232\",\"-2303631554813/1017900609224288832\",\"-1931379509899019/65145638990354485248\",\"-487626926204599/32572819495177242624\",\"139321691903861/14476808664523218944\",\"-401810742073873/86860851987139313664\"],\"prime_valuations\":[[0,1]]},{\"element\":[\"0\",\"0\",\"1/2\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\"],\"prime_valuations\":[[1,1]]},{\"element\":[\"3\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\"],\"prime_valuations\":[[2,1],[3,1],[4,1],[5,1],[6,1]]},{\"element\":[\"27427845780828928/15904697019129513\",\"1164162996228407/504911016480302\",\"90062511802617397/15904697019129513\",\"102383441565077401/15904697019129513\",\"690743557973942983/127237576153036104\",\"745013254211655481/127237576153036104\",\"2155011055352776421/254475152306072208\",\"233492303446726843/63618788076518052\",\"1937622638471668621/508950304612144416\",\"560721159196757479/169650101537381472\",\"232683121433434055/508950304612144416\",\"19933533837730535/127237576153036104\",\"-35240742419850773/56550033845793824\",\"340593263466488771/2035801218448577664\",\"-1755279810734786431/4071602436897155328\",\"18567815694007541/193885830328435968\",\"-273574340833464077/8143204873794310656\",\"44369377382284933/678600406149525888\",\"-60482039034887023/5428803249196207104\",\"-194070939415/4071602436897155328\",\"-4198871695139/581657490985307904\",\"5470858147199/508950304612144416\",\"-420531279718231/21715212996784828416\",\"129380632176967/16286409747588621312\",\"-2227305435120953/65145638990354485248\",\"830532531153523/130291277980708970496\",\"-431309882442329/18613039711529852928\"],\"prime_valuations\":[[7,2],[8,1],[9,1],[10,1],[11,1]]},{\"element\":[\"-29932900702722898/15904697019129513\",\"-26642452280918323/31809394038259026\",\"24917013182137715/31809394038259026\",\"-175481586201326273/31809394038259026\",\"-130499705733234883/63618788076518052\",\"249943072708139773/63618788076518052\",\"2357456078481163/63618788076518052\",\"-306027913010190919/127237576153036104\",\"394514027385250041/56550033845793824\",\"218524621631463227/31809394038259026\",\"1686755942312139577/1017900609224288832\",\"805711964376808409/1017900609224288832\",\"27373000240349209/226200135383175296\",\"-12469725948839827/508950304612144416\",\"-104510932148324305/113100067691587648\",\"-15864244422954733/4071602436897155328\",\"31813330061861239/4071602436897155328\",\"146353302781906187/1163314981970615808\",\"-40871633873771163/1809601083065402368\",\"-33497488842955/16286409747588621312\",\"-95567844250203/3619202166130804736\",\"13772312375263/1809601083065402368\",\"17740176586355/9306519855764926464\",\"2720892595237181/65145638990354485248\",\"16146760516605/1809601083065402368\",\"-172944871953305/130291277980708970496\",\"-12254849227390139/260582555961417940992\"],\"prime_valuations\":[[12,1],[13,1],[14,1],[15,1],[11,1]]},{\"element\":[\"-1773261863840533/2272099574161359\",\"-11693518527618472/2272099574161359\",\"6089651995062578/2272099574161359\",\"-14074201802195255/9088398296645436\",\"-21437436999795375/2019644065921208\",\"-2868909534492745/2272099574161359\",\"-2655992095166257/36353593186581744\",\"-112092158949402077/18176796593290872\",\"-63505564911426247/36353593186581744\",\"97425263007541933/72707186373163488\",\"115311833356757725/145414372746326976\",\"-3098348943826889/24235728791054496\",\"88399858236688219/290828745492653952\",\"111710815504111465/290828745492653952\",\"-15209873798395513/64628610109478656\",\"-29249545984734881/581657490985307904\",\"-68026737658957421/1163314981970615808\",\"20605701678836869/387771660656871936\",\"-2147273865910315/290828745492653952\",\"33494311559/24235728791054496\",\"-6111224400865/1551086642627487744\",\"-13600455780985/4653259927882463232\",\"37714091211221/2326629963941231616\",\"-75024695536573/9306519855764926464\",\"80299643443193/4653259927882463232\",\"462213378449245/18613039711529852928\",\"-570503997952717/37226079423059705856\"],\"prime_valuations\":[[16,1],[17,1],[18,1],[19,1],[20,1]]},{\"element\":[\"-7945760766896801/1767188557681057\",\"-69335496039782159/31809394038259026\",\"577167414046317659/63618788076518052\",\"-8254025253316363/15904697019129513\",\"14879133948140143/31809394038259026\",\"1417762958547531271/63618788076518052\",\"1029218959554957271/63618788076518052\",\"856263840394173709/254475152306072208\",\"9680129259853484641/508950304612144416\",\"3852515716218255113/254475152306072208\",\"1933158017364317627/508950304612144416\",\"11737121147787737/254475152306072208\",\"-40113406348492741/678600406149525888\",\"-335615795609618753/1017900609224288832\",\"-399300323548098827/226200135383175296\",\"35699027996692553/4071602436897155328\",\"43240996929227479/1017900609224288832\",\"2176314485271913957/8143204873794310656\",\"-266786116126282309/5428803249196207104\",\"65431571100083/4071602436897155328\",\"-3654412997751/3619202166130804736\",\"17576961309875/5428803249196207104\",\"1185858484603697/65145638990354485248\",\"135246179350589/65145638990354485248\",\"-10455278612533/3619202166130804736\",\"-2127933065474927/130291277980708970496\",\"-92596978351391/904800541532701184\"],\"prime_valuations\":[[2,2],[7,2],[13,1],[21,1],[20,1]]},{\"element\":[\"-37717884564385484/15904697019129513\",\"-120054474931856525/31809394038259026\",\"32401536167487019/5301565673043171\",\"-63904216659301861/63618788076518052\",\"-1358797538441938201/127237576153036104\",\"-19592803378435843/15904697019129513\",\"1306017241565823539/254475152306072208\",\"-1382317195333912097/254475152306072208\",\"-2653816660661708609/508950304612144416\",\"-9713148262927409/36353593186581744\",\"-3166770152056131/28275016922896912\",\"-5257573361241007/12117864395527248\",\"-24544186045207697/145414372746326976\",\"40869213655661203/48471457582108992\",\"-22690074825221021/581657490985307904\",\"11642093817633115/2035801218448577664\",\"-1031839951368157879/8143204873794310656\",\"151009088514841841/4071602436897155328\",\"-44318572035271439/16286409747588621312\",\"140673906962273/8143204873794310656\",\"92987316469199/8143204873794310656\",\"43001875888597/1809601083065402368\",\"-299192174020577/21715212996784828416\",\"-775629990420125/32572819495177242624\",\"-34677234621167/5428803249196207104\",\"2996295140451731/65145638990354485248\",\"-242324190270889/43430425993569656832\"],\"prime_valuations\":[[6,1],[7,1],[22,1],[23,1],[10,1],[20,1]]},{\"element\":[\"-4011556456149164/757366524720453\",\"42047627745455335/31809394038259026\",\"104522809687618037/9088398296645436\",\"-41335976751546325/15904697019129513\",\"730878848784464609/127237576153036104\",\"530863592292674401/21206262692172684\",\"2924700252718365977/254475152306072208\",\"-36629954555548210/15904697019129513\",\"3676328093291576729/254475152306072208\",\"1051835996851250185/84825050768690736\",\"218188030181079409/84825050768690736\",\"154049932818050525/1017900609224288832\",\"354387888573597523/678600406149525888\",\"-108378839902212815/2035801218448577664\",\"-6456027616202850247/4071602436897155328\",\"-23173720576679509/339300203074762944\",\"35483802279551777/1163314981970615808\",\"1945998603486564769/8143204873794310656\",\"-351814151811308141/8143204873794310656\",\"505583861818223/16286409747588621312\",\"-145077343303373/10857606498392414208\",\"-41290040761715/1551086642627487744\",\"-448976981444219/16286409747588621312\",\"379522970604971/65145638990354485248\",\"1722422833624049/65145638990354485248\",\"-53987211590911/8143204873794310656\",\"-11737450330610603/130291277980708970496\"],\"prime_valuations\":[[13,1],[24,1],[25,1],[26,1],[27,1],[20,1]]},{\"element\":[\"35634009682061522/15904697019129513\",\"-47611763686286419/15904697019129513\",\"-72846911146807013/31809394038259026\",\"-5735859465804701/2272099574161359\",\"-351495317758988141/63618788076518052\",\"-380528718353337749/63618788076518052\",\"-86001685516023551/21206262692172684\",\"-17931214646523644/5301565673043171\",\"-100464425261978507/63618788076518052\",\"3644503312843675/31809394038259026\",\"28258459773994145/84825050768690736\",\"7870404278548723/21206262692172684\",\"6242118377779589/63618788076518052\",\"151804739269657603/1017900609224288832\",\"-7917616889215097/84825050768690736\",\"-468146205296839/56550033845793824\",\"-8631073097230387/339300203074762944\",\"12783815892653279/1017900609224288832\",\"-21669477069825/16157152527369664\",\"-2152388026713/452400270766350592\",\"-20057411515459/1357200812299051776\",\"11622396232351/4071602436897155328\",\"72466064770231/5428803249196207104\",\"4992000128593/258514440437914624\",\"11823755464383/1809601083065402368\",\"28849706046617/2714401624598103552\",\"-45083842663217/16286409747588621312\"],\"prime_valuations\":[[1,1],[12,2],[13,1],[28,1],[29,1]]},{\"element\":[\"4396209979669750/757366524720453\",\"-13795324630648720/5301565673043171\",\"-41825293206913535/9088398296645436\",\"97438303106831753/63618788076518052\",\"-128017353903524485/15904697019129513\",\"-724841209819515283/31809394038259026\",\"-664922940194791885/63618788076518052\",\"-583168798606427263/63618788076518052\",\"-1986439532012284411/84825050768690736\",\"-1813221600481849909/127237576153036104\",\"-3873122032342114079/1017900609224288832\",\"-123748077395445319/1017900609224288832\",\"-57473099457762581/339300203074762944\",\"1315563181079677807/1017900609224288832\",\"1009950615664456831/678600406149525888\",\"67767687465088279/4071602436897155328\",\"-107928229720005091/581657490985307904\",\"-202140468920272525/1017900609224288832\",\"335890836456635171/8143204873794310656\",\"142698283647991/5428803249196207104\",\"-61274555869297/8143204873794310656\",\"26974476910573/2326629963941231616\",\"-19849913481183/452400270766350592\",\"-24262581932677/2714401624598103552\",\"-507395883708187/65145638990354485248\",\"1468860210474997/21715212996784828416\",\"22399272864365407/260582555961417940992\"],\"prime_valuations\":[[0,2],[7,1],[30,1],[31,1],[29,1]]},{\"element\":[\"31815126264031192/15904697019129513\",\"11780134796068267/5301565673043171\",\"-112891546664459165/63618788076518052\",\"73466911348704031/31809394038259026\",\"2143726669007023/5301565673043171\",\"-356532814834526905/42412525384345368\",\"-21725133771986753/7068754230724228\",\"-215069161693553891/254475152306072208\",\"-370949140426031711/42412525384345368\",\"-379864320498190777/56550033845793824\",\"-1789014939886720411/1017900609224288832\",\"-249844286790026351/1017900609224288832\",\"-100803872624375957/508950304612144416\",\"677304684010960441/2035801218448577664\",\"1578681668410076635/2035801218448577664\",\"26303685796693721/1017900609224288832\",\"-102833158357430287/2035801218448577664\",\"-443732899937168531/4071602436897155328\",\"170157726344694323/8143204873794310656\",\"-135918325493533/16286409747588621312\",\"63194336999047/4071602436897155328\",\"11358195638557/8143204873794310656\",\"-58190419585975/3619202166130804736\",\"-376426375730869/32572819495177242624\",\"-380356312871765/32572819495177242624\",\"2177459280058571/130291277980708970496\",\"1260217926235017/28953617329046437888\"],\"prime_valuations\":[[14,1],[32,1],[33,1],[34,1]]},{\"element\":[\"76622019365155646/15904697019129513\",\"40621546424786966/15904697019129513\",\"-4609519361178992/5301565673043171\",\"384054915690952327/63618788076518052\",\"116423291184810146/15904697019129513\",\"-910061190686277991/127237576153036104\",\"-884258058951086803/254475152306072208\",\"77975199300150389/42412525384345368\",\"-1440069007076825665/169650101537381472\",\"-93158680265901677/12117864395527248\",\"-2232429939613707955/1017900609224288832\",\"-4851948567202183/36353593186581744\",\"-35119136682865145/145414372746326976\",\"16408495037356013/145414372746326976\",\"132787093152972769/145414372746326976\",\"9078274570893503/254475152306072208\",\"-125387379532977209/8143204873794310656\",\"-1128877848088373321/8143204873794310656\",\"407990410857301205/16286409747588621312\",\"631334389191/452400270766350592\",\"-229286493286675/32572819495177242624\",\"-75842234407643/10857606498392414208\",\"-762007259009587/32572819495177242624\",\"-96051313029583/10857606498392414208\",\"-1937087664942583/130291277980708970496\",\"401801474878351/130291277980708970496\",\"754529263539249/14476808664523218944\"],\"prime_valuations\":[[1,1],[12,2],[14,1],[22,1],[19,1],[35,1],[34,1]]},{\"element\":[\"-2938871151688456/2272099574161359\",\"-3287390361056533/3534377115362114\",\"21598578950303809/2272099574161359\",\"633366346609879027/63618788076518052\",\"673134413609642897/127237576153036104\",\"447257412975272677/31809394038259026\",\"1111878038401105445/63618788076518052\",\"2296064582087288399/254475152306072208\",\"2658380533968219919/254475152306072208\",\"521717571768680569/84825050768690736\",\"1728268546927994423/1017900609224288832\",\"-81229160010021537/113100067691587648\",\"-672346600296916003/1017900609224288832\",\"-329247207930270803/1017900609224288832\",\"-2303276061978819967/4071602436897155328\",\"38211203263071917/452400270766350592\",\"3590029145454217/145414372746326976\",\"88040598031732047/904800541532701184\",\"-12722942466717577/678600406149525888\",\"-156896367156671/16286409747588621312\",\"830903701846013/32572819495177242624\",\"3064198077539/581657490985307904\",\"1210069502330839/65145638990354485248\",\"-607696023113317/16286409747588621312\",\"-4964574960883445/130291277980708970496\",\"-260262497821685/16286409747588621312\",\"-2544657352075955/65145638990354485248\"],\"prime_valuations\":[[7,1],[36,1],[37,1],[38,1],[39,1],[40,1]]},{\"element\":[\"2297660261095639/757366524720453\",\"31142427715900247/10603131346086342\",\"-5614066461673796/2272099574161359\",\"48459981792179973/7068754230724228\",\"1052335919475169781/127237576153036104\",\"-67385713472952645/7068754230724228\",\"-55707359441319029/42412525384345368\",\"411226723010685913/42412525384345368\",\"-498662616566512975/63618788076518052\",\"-1622917356142810375/169650101537381472\",\"-2740052042447616745/1017900609224288832\",\"-137782969306481053/254475152306072208\",\"-833991723015037639/1017900609224288832\",\"-565853552568979189/2035801218448577664\",\"5603146331585246413/4071602436897155328\",\"424746845946355693/4071602436897155328\",\"15852341718462307/581657490985307904\",\"-1723855838962692593/8143204873794310656\",\"295216455265760323/8143204873794310656\",\"-3856990512199/226200135383175296\",\"685546656482501/32572819495177242624\",\"127279132164733/4653259927882463232\",\"-461531206476791/65145638990354485248\",\"-299360014339693/10857606498392414208\",\"-5699458465702577/130291277980708970496\",\"-1168950317431763/65145638990354485248\",\"9842842054750321/130291277980708970496\"],\"prime_valuations\":[[0,1],[8,2],[17,1],[41,1],[42,1],[40,1]]},{\"element\":[\"85381517065498328/15904697019129513\",\"39699186841892737/15904697019129513\",\"-286903437485580553/31809394038259026\",\"57366632608788959/15904697019129513\",\"9498140829798741/1767188557681057\",\"-217021329630138428/15904697019129513\",\"-308031842908584805/31809394038259026\",\"310855954011676327/84825050768690736\",\"-1806744172377902143/127237576153036104\",\"-494061470010876157/36353593186581744\",\"-117817687921415051/31809394038259026\",\"-77396308403694499/145414372746326976\",\"-1091425157167381/8078576263684832\",\"-622458774422711/8078576263684832\",\"127274711580076681/72707186373163488\",\"1132238408932829/127237576153036104\",\"61338716288398957/4071602436897155328\",\"-89899792712769265/339300203074762944\",\"23776432481051951/508950304612144416\",\"297564271811231/16286409747588621312\",\"41989299950567/2714401624598103552\",\"-2022329711489/1357200812299051776\",\"-5891362369541/339300203074762944\",\"-235360825237267/8143204873794310656\",\"-23020973292491/2714401624598103552\",\"-463813329577081/65145638990354485248\",\"396118942133879/4071602436897155328\"],\"prime_valuations\":[[1,1],[12,1],[16,1],[23,1],[43,1],[44,1],[40,1]]},{\"element\":[\"-68022430853855074/15904697019129513\",\"42188673283684885/5301565673043171\",\"406544422780635625/31809394038259026\",\"-20656332495454472/15904697019129513\",\"1646317327211513641/127237576153036104\",\"698346358182759779/21206262692172684\",\"3771504609915453359/254475152306072208\",\"1301341375754600737/254475152306072208\",\"1140424307456011517/42412525384345368\",\"2503903772636800637/127237576153036104\",\"490196120559912915/113100067691587648\",\"360587748779653957/508950304612144416\",\"447153680635151801/2035801218448577664\",\"-816235784597290609/1017900609224288832\",\"-9555782066542414285/4071602436897155328\",\"-308450021608537/28275016922896912\",\"1072867821170687467/8143204873794310656\",\"2659310760381090031/8143204873794310656\",\"-507728229058030795/8143204873794310656\",\"27628631640865/4071602436897155328\",\"-879086135637827/32572819495177242624\",\"-298502801623247/16286409747588621312\",\"-129301466311225/16286409747588621312\",\"795282000763237/21715212996784828416\",\"230401865346523/21715212996784828416\",\"-6140669121492943/130291277980708970496\",\"-33848964631549177/260582555961417940992\"],\"prime_valuations\":[[1,1],[0,1],[14,1],[22,1],[45,1],[46,1],[31,1],[47,1]]},{\"element\":[\"59734692127450177/15904697019129513\",\"-51532872008775932/5301565673043171\",\"-210448746786709979/15904697019129513\",\"-24428335019430295/10603131346086342\",\"-2398535149900572437/127237576153036104\",\"-2475443032003603241/63618788076518052\",\"-4885919002453351553/254475152306072208\",\"-616226884408797229/63618788076518052\",\"-7233824427766448639/254475152306072208\",\"-75173008496477539/4039288131842416\",\"-4027474348378148681/1017900609224288832\",\"-12626252200938839/145414372746326976\",\"-52951134695816503/290828745492653952\",\"159168044981701721/145414372746326976\",\"1218533029888833571/581657490985307904\",\"9379490282090785/678600406149525888\",\"-1427179965842364781/8143204873794310656\",\"-793688772868815265/2714401624598103552\",\"52191197424610227/904800541532701184\",\"-198349577959807/16286409747588621312\",\"30800474043167/32572819495177242624\",\"53590995940809/1809601083065402368\",\"169929898598179/16286409747588621312\",\"-98806792995965/21715212996784828416\",\"-129290710936285/21715212996784828416\",\"8357266214846821/130291277980708970496\",\"31331355222332693/260582555961417940992\"],\"prime_valuations\":[[7,1],[48,1],[49,1],[50,1],[47,1]]},{\"element\":[\"58586151028168475/15904697019129513\",\"2078178753203789/10603131346086342\",\"25454880603972475/15904697019129513\",\"73952259967553567/21206262692172684\",\"34840855889311534/15904697019129513\",\"50285037206136583/127237576153036104\",\"430821158093370221/127237576153036104\",\"56590744912618549/42412525384345368\",\"684627481451453567/127237576153036104\",\"2568103119524736457/508950304612144416\",\"682927326724640747/508950304612144416\",\"270170854623988891/339300203074762944\",\"-53033748360165987/113100067691587648\",\"16483959030260339/254475152306072208\",\"-245620964126012873/339300203074762944\",\"360267349731938507/4071602436897155328\",\"-97532683729549795/4071602436897155328\",\"198742309006850915/2035801218448577664\",\"-139002187016209877/8143204873794310656\",\"-227019818410541/16286409747588621312\",\"-121499091697373/4071602436897155328\",\"187984587547301/32572819495177242624\",\"161382848270851/32572819495177242624\",\"1362325643575363/32572819495177242624\",\"-183988654626965/7238404332261609472\",\"70991855017375/16286409747588621312\",\"-385680303045839/10857606498392414208\"],\"prime_valuations\":[[7,1],[13,1],[9,1],[51,1],[52,1],[47,1]]},{\"element\":[\"-57245973478180994/15904697019129513\",\"30900515554120399/31809394038259026\",\"35241335638489247/31809394038259026\",\"-124993017085137335/31809394038259026\",\"58453153869389969/31809394038259026\",\"1440166536079318361/127237576153036104\",\"67158433496294323/42412525384345368\",\"636020277779972315/254475152306072208\",\"401009713170840575/31809394038259026\",\"1084698291803929303/127237576153036104\",\"571925914746854023/254475152306072208\",\"396963773598401015/1017900609224288832\",\"61788914628906895/169650101537381472\",\"-1442537311490229875/2035801218448577664\",\"-119859170722284937/127237576153036104\",\"-46020074294033825/1017900609224288832\",\"442000888346460623/4071602436897155328\",\"124761969724256713/1017900609224288832\",\"-50974327120677431/2035801218448577664\",\"-3122508483755/16286409747588621312\",\"-73016861020135/4071602436897155328\",\"-64084056188645/8143204873794310656\",\"280760403817553/10857606498392414208\",\"644384984655325/32572819495177242624\",\"662918288624765/32572819495177242624\",\"-149682809281249/4071602436897155328\",\"-849432274659593/16286409747588621312\"],\"prime_valuations\":[[12,1],[7,2],[13,1],[53,1],[54,1],[55,1]]},{\"element\":[\"36986743916785004/15904697019129513\",\"-21882098325719561/5301565673043171\",\"-103681996445784259/21206262692172684\",\"-77616587861569577/21206262692172684\",\"-140739604561311829/15904697019129513\",\"-229965877694010065/15904697019129513\",\"-693187818224385727/63618788076518052\",\"-2127004068162304193/254475152306072208\",\"-328018860132676183/28275016922896912\",\"-12879183965218451/2272099574161359\",\"-1415867614710733117/1017900609224288832\",\"8251882123002233/18176796593290872\",\"35464448060341477/145414372746326976\",\"95742413567055953/145414372746326976\",\"145299101823747191/290828745492653952\",\"-133165873101733225/4071602436897155328\",\"-45660394784619667/508950304612144416\",\"-141973182499378345/2035801218448577664\",\"14059202194703283/904800541532701184\",\"48278669747423/2035801218448577664\",\"-11145021352331/339300203074762944\",\"83898018461423/16286409747588621312\",\"-1283035989173/113100067691587648\",\"41733125597785/2035801218448577664\",\"114585365766693/7238404332261609472\",\"2357852155484411/65145638990354485248\",\"8447685728506183/260582555961417940992\"],\"prime_valuations\":[[12,3],[16,1],[14,1],[24,1],[55,1]]},{\"element\":[\"-3875359205126078/2272099574161359\",\"-57363161992935059/31809394038259026\",\"-3877990072175776/2272099574161359\",\"-3683255480457571/1767188557681057\",\"-283632408535473169/63618788076518052\",\"-541132783395869377/127237576153036104\",\"-229971749080698133/63618788076518052\",\"-522488077063394069/127237576153036104\",\"-48460476481976722/15904697019129513\",\"-48897545429352953/63618788076518052\",\"-49574711755573625/508950304612144416\",\"29382200208997505/127237576153036104\",\"85398577794963611/508950304612144416\",\"529584144639996307/2035801218448577664\",\"1215622843473065/508950304612144416\",\"-43567987607763659/2035801218448577664\",\"-1146255109301555/32314305054739328\",\"4357184197310177/2035801218448577664\",\"75921139495825/84825050768690736\",\"47761455126635/8143204873794310656\",\"-36939778852079/2714401624598103552\",\"-553506857719/581657490985307904\",\"-2587860430535/3619202166130804736\",\"360985593030763/32572819495177242624\",\"26984332790845/2714401624598103552\",\"162531414793687/10857606498392414208\",\"30664978258115/16286409747588621312\"],\"prime_valuations\":[[0,2],[2,1],[28,1],[56,1],[55,1]]},{\"element\":[\"-39427345849746356/15904697019129513\",\"86728322980408450/15904697019129513\",\"-12652392811642265/7068754230724228\",\"-20664736700460619/3029466098881812\",\"18575112239367118/5301565673043171\",\"969129980885959355/127237576153036104\",\"-558770987858898953/63618788076518052\",\"-62973319204078645/31809394038259026\",\"583575422101864393/127237576153036104\",\"410676647083822241/169650101537381472\",\"442924802285687915/1017900609224288832\",\"358985255439514759/1017900609224288832\",\"1016769345281883547/1017900609224288832\",\"-1281487296686250427/2035801218448577664\",\"-175842681873315629/678600406149525888\",\"-551476249012809175/4071602436897155328\",\"60971048390417045/508950304612144416\",\"69192367708085093/4071602436897155328\",\"-7014918486705911/1163314981970615808\",\"92400889321399/5428803249196207104\",\"-101040434842831/4071602436897155328\",\"-549975758823893/16286409747588621312\",\"28743127466773/10857606498392414208\",\"8310334818915/517028880875829248\",\"3468470568583609/65145638990354485248\",\"-1523346876825857/43430425993569656832\",\"-3274997801755037/260582555961417940992\"],\"prime_valuations\":[[0,4],[8,1],[9,1],[57,1],[55,1]]},{\"element\":[\"-7654479122549354/2272099574161359\",\"64537130396840161/15904697019129513\",\"7493882365790005/2272099574161359\",\"-40621196173720273/31809394038259026\",\"287963132776146361/63618788076518052\",\"1428256232168151347/127237576153036104\",\"141998339983647809/42412525384345368\",\"36314907887912716/15904697019129513\",\"382921136751914437/42412525384345368\",\"2783266542599750083/508950304612144416\",\"58848193211150557/42412525384345368\",\"-444852580314763/42412525384345368\",\"34120259317970263/127237576153036104\",\"-1009373164722548413/2035801218448577664\",\"-200247573912018383/339300203074762944\",\"-3840547884456005/113100067691587648\",\"45461004050520149/581657490985307904\",\"322695817267206059/4071602436897155328\",\"-22310044346492183/1357200812299051776\",\"-12686024422347/904800541532701184\",\"20348491614247/2714401624598103552\",\"-18783029164213/1163314981970615808\",\"101252549635877/10857606498392414208\",\"3438729976085/3619202166130804736\",\"46315234973229/3619202166130804736\",\"-3490741901777821/130291277980708970496\",\"-4464517772330657/130291277980708970496\"],\"prime_valuations\":[[1,1],[8,1],[13,1],[58,1],[57,1]]},{\"element\":[\"-52663804496828095/15904697019129513\",\"-6209774101879673/2272099574161359\",\"-4366034076273984/1767188557681057\",\"-87255076332636521/7068754230724228\",\"-1466140485229701011/127237576153036104\",\"-101793981023557513/127237576153036104\",\"-328013515951381717/42412525384345368\",\"-3016963912539896545/254475152306072208\",\"191772586267978847/63618788076518052\",\"1527804807893715971/254475152306072208\",\"1931273483788997209/1017900609224288832\",\"317448973287475807/339300203074762944\",\"305491159561482583/339300203074762944\",\"562573372502332217/2035801218448577664\",\"-438499934452656117/452400270766350592\",\"-7240736663318197/64628610109478656\",\"-25145259779226443/1017900609224288832\",\"1136809547366849005/8143204873794310656\",\"-15851846129176165/678600406149525888\",\"-68108293250425/16286409747588621312\",\"-133317594906611/4653259927882463232\",\"-120395402988263/8143204873794310656\",\"762811538495161/65145638990354485248\",\"405446695547993/8143204873794310656\",\"6591351371870249/130291277980708970496\",\"65942332033661/3619202166130804736\",\"-28309131692825/581657490985307904\"],\"prime_valuations\":[[7,1],[8,2],[53,1],[59,1],[60,1],[57,1]]},{\"element\":[\"23303120131446292/15904697019129513\",\"-12988536457511705/31809394038259026\",\"-211554159860758321/63618788076518052\",\"25848392699627809/10603131346086342\",\"10482078729140173/4544199148322718\",\"-457484290724297521/127237576153036104\",\"-32537921587774816/15904697019129513\",\"55550249878597495/36353593186581744\",\"-166478238650915921/28275016922896912\",\"-1413702334898177761/254475152306072208\",\"-1566658836783097361/1017900609224288832\",\"-428827884429996377/1017900609224288832\",\"-10611996166800139/508950304612144416\",\"26038882064374807/2035801218448577664\",\"1475319703030391009/2035801218448577664\",\"-5687170138675183/1017900609224288832\",\"2621910425184055/4071602436897155328\",\"-105839080646339015/1017900609224288832\",\"150877273790671549/8143204873794310656\",\"311408551755409/16286409747588621312\",\"1681953968831/169650101537381472\",\"-32524229563031/8143204873794310656\",\"-102378672162721/10857606498392414208\",\"-761213187581813/32572819495177242624\",\"-1087994862075/517028880875829248\",\"-40130888056009/65145638990354485248\",\"10049000288875039/260582555961417940992\"],\"prime_valuations\":[[28,1],[22,1],[54,1],[61,1]]},{\"element\":[\"1728105160217008/5301565673043171\",\"68258320049713694/15904697019129513\",\"-32410483229398277/15904697019129513\",\"-12819009930413923/15904697019129513\",\"179471640982059047/21206262692172684\",\"98596517748132917/9088398296645436\",\"-2070790643699323/2272099574161359\",\"336261711792631211/63618788076518052\",\"32343118694085595/4544199148322718\",\"424098319937557915/254475152306072208\",\"28660468611119275/72707186373163488\",\"-19303111572414073/56550033845793824\",\"139295539869496597/254475152306072208\",\"-952389751956206513/1017900609224288832\",\"-10066845797469805/1017900609224288832\",\"-13567388226372815/169650101537381472\",\"304203856107863333/2035801218448577664\",\"-28772020938536639/2035801218448577664\",\"-7345473643485437/4071602436897155328\",\"9262202287267/1163314981970615808\",\"24020278558363/2035801218448577664\",\"-127059486475241/4071602436897155328\",\"84254270403665/5428803249196207104\",\"-295424140602935/16286409747588621312\",\"431462445163081/16286409747588621312\",\"-157781291494877/3102173285254975488\",\"-498690029497447/130291277980708970496\"],\"prime_valuations\":[[1,3],[7,1],[60,1],[62,1],[63,1],[61,1]]},{\"element\":[\"1557556636446734/757366524720453\",\"-3421443162469988/2272099574161359\",\"-31191869814950101/4544199148322718\",\"-3827523888281977/9088398296645436\",\"-60812153607887171/9088398296645436\",\"-279169426257867779/18176796593290872\",\"-342450563769325057/36353593186581744\",\"-28133188461955249/4544199148322718\",\"-166888034053915157/9088398296645436\",\"-109271283946327903/8078576263684832\",\"-38922533991128281/12117864395527248\",\"-124936278859200491/145414372746326976\",\"94862055113611927/290828745492653952\",\"90104128862945713/145414372746326976\",\"229871477003868869/145414372746326976\",\"-12212465806471829/193885830328435968\",\"-96943880439848573/1163314981970615808\",\"-123682029091303079/581657490985307904\",\"23783514615579787/581657490985307904\",\"12605449349209/2326629963941231616\",\"31303284434591/775543321313743872\",\"-63255559032991/4653259927882463232\",\"-16123321063973/1034057761751658496\",\"-405887376900605/9306519855764926464\",\"291041542651373/18613039711529852928\",\"629210551679377/18613039711529852928\",\"3169000242876775/37226079423059705856\"],\"prime_valuations\":[[1,1],[7,1],[13,1],[64,1],[65,1],[61,1]]},{\"element\":[\"2012212072848920/15904697019129513\",\"-1261573205628038/1767188557681057\",\"7729275843448693/21206262692172684\",\"-160391717687593577/63618788076518052\",\"-8167731049086680/1767188557681057\",\"37444750273011769/21206262692172684\",\"934932911356968529/254475152306072208\",\"-278788287341485771/127237576153036104\",\"-546545866026324667/254475152306072208\",\"-15223234878376619/127237576153036104\",\"-339712894527747847/1017900609224288832\",\"-327481891411497131/1017900609224288832\",\"-51891755245134107/678600406149525888\",\"308286602731380365/678600406149525888\",\"-13775092662228895/678600406149525888\",\"3454219872295355/4071602436897155328\",\"-507207565702049665/8143204873794310656\",\"10987561188222689/581657490985307904\",\"-3927379463762801/2714401624598103552\",\"398002031316457/16286409747588621312\",\"5501862314343/226200135383175296\",\"141606394587989/10857606498392414208\",\"-65979574343885/3102173285254975488\",\"-112292826948457/7238404332261609472\",\"-400377605066305/130291277980708970496\",\"491010733069849/21715212996784828416\",\"-390446920891399/130291277980708970496\"],\"prime_valuations\":[[7,2],[66,1],[67,1],[61,1]]},{\"element\":[\"37946363517686213/15904697019129513\",\"19378907051219575/15904697019129513\",\"3785352589792201/63618788076518052\",\"56255534180562053/15904697019129513\",\"40274951427100209/7068754230724228\",\"1814700076554271/9088398296645436\",\"14284519888158677/18176796593290872\",\"28266474529478841/7068754230724228\",\"-66077941767796843/18176796593290872\",\"-285014604100322797/63618788076518052\",\"-219356839060439593/145414372746326976\",\"-121204146902220829/254475152306072208\",\"-2601229758868469/14137508461448456\",\"-10009995923136303/113100067691587648\",\"1301227867378680793/2035801218448577664\",\"8478364221656165/508950304612144416\",\"4158530734267087/254475152306072208\",\"-31850620857011533/339300203074762944\",\"130988326208104325/8143204873794310656\",\"4609353990937/290828745492653952\",\"19127384325463/1357200812299051776\",\"1979251229317/1357200812299051776\",\"-99391369997291/5428803249196207104\",\"-420371939949245/16286409747588621312\",\"-58703722087447/5428803249196207104\",\"-18640278796369/2326629963941231616\",\"8724848462882219/260582555961417940992\"],\"prime_valuations\":[[12,1],[13,1],[56,1],[68,1],[69,1]]},{\"element\":[\"8755519599048039/1767188557681057\",\"-29002180429510285/15904697019129513\",\"-235978789270765801/63618788076518052\",\"-29601990481838291/15904697019129513\",\"-59452151954584594/15904697019129513\",\"-106446939342266011/10603131346086342\",\"-712835825465374843/127237576153036104\",\"-30964157541553897/28275016922896912\",\"-103450546335522697/28275016922896912\",\"-154709312740315601/84825050768690736\",\"-430227757794702883/1017900609224288832\",\"555530079216684977/1017900609224288832\",\"-118192809363390865/508950304612144416\",\"77609363288131387/508950304612144416\",\"344532460291446037/2035801218448577664\",\"4949696363984327/127237576153036104\",\"-114620385285883721/4071602436897155328\",\"-9783784701046141/290828745492653952\",\"54824802312799745/8143204873794310656\",\"-94050356024659/16286409747588621312\",\"-60647533909115/2714401624598103552\",\"89206260264743/4071602436897155328\",\"236820227619/64628610109478656\",\"230184314439959/8143204873794310656\",\"-25535033406737/2714401624598103552\",\"572285700333029/65145638990354485248\",\"3671831424876655/260582555961417940992\"],\"prime_valuations\":[[8,1],[70,1],[24,2],[50,1],[71,1],[69,1]]},{\"element\":[\"6772471564527649/5301565673043171\",\"190894174139893309/31809394038259026\",\"127673895108374929/31809394038259026\",\"34804768357524733/4544199148322718\",\"695280906963764503/63618788076518052\",\"1356704056297560115/127237576153036104\",\"1099139151588347785/127237576153036104\",\"516606570621380413/63618788076518052\",\"687121383885164407/127237576153036104\",\"583719055586933941/508950304612144416\",\"-485366496564577/42412525384345368\",\"-73153020656103197/127237576153036104\",\"-55321468828368413/169650101537381472\",\"-213988081294259837/508950304612144416\",\"1591735986871813/113100067691587648\",\"21876343299286397/508950304612144416\",\"39165626266874357/678600406149525888\",\"-5483719192697581/2035801218448577664\",\"-1952590452540371/1163314981970615808\",\"8183058540871/8143204873794310656\",\"70783047370349/2714401624598103552\",\"-37917575641611/3619202166130804736\",\"-255009794267593/32572819495177242624\",\"-136067308689223/4653259927882463232\",\"-230356380693409/10857606498392414208\",\"-11426820868049/452400270766350592\",\"-114599318797367/32572819495177242624\"],\"prime_valuations\":[[0,2],[13,1],[53,1],[64,1],[25,1],[72,1]]},{\"element\":[\"-6452270300407711/2272099574161359\",\"52644478988317421/10603131346086342\",\"17713277686346539/4544199148322718\",\"-44690984563871521/31809394038259026\",\"156133875165922693/21206262692172684\",\"733741324261997953/42412525384345368\",\"239161804528341425/42412525384345368\",\"1496718580813107227/254475152306072208\",\"300827950534553219/21206262692172684\",\"118902253172506067/14137508461448456\",\"121787633856217897/63618788076518052\",\"19184368228062311/1017900609224288832\",\"135429796864483973/508950304612144416\",\"-1746146790029545081/2035801218448577664\",\"-215965490776924583/254475152306072208\",\"-37593442598690723/1017900609224288832\",\"77939109359032181/581657490985307904\",\"55989076915801717/508950304612144416\",\"-48243973009879481/2035801218448577664\",\"74363460477913/16286409747588621312\",\"-6422313236879/2035801218448577664\",\"-12475549807621/1163314981970615808\",\"45276091425697/3619202166130804736\",\"15392968452607/32572819495177242624\",\"450090690265871/32572819495177242624\",\"-385914736702349/8143204873794310656\",\"-33514517999849/678600406149525888\"],\"prime_valuations\":[[12,3],[53,1],[9,1],[39,1],[72,1]]},{\"element\":[\"-8331553374319004/15904697019129513\",\"-14561357081929633/1514733049440906\",\"-146422865921860811/21206262692172684\",\"-205214355160983101/21206262692172684\",\"-184190774210930353/7068754230724228\",\"-1187716876892358313/42412525384345368\",\"-1154832025179188423/84825050768690736\",\"-4658495560463707489/254475152306072208\",\"-451657812247706809/21206262692172684\",\"-4567831206170406355/508950304612144416\",\"-585632666827303447/339300203074762944\",\"47989242077150755/127237576153036104\",\"484025922382729465/2035801218448577664\",\"3313791195210491539/2035801218448577664\",\"1477228174434025147/2035801218448577664\",\"-24134701119165979/581657490985307904\",\"-646738911574499773/2714401624598103552\",\"-52567684469768933/678600406149525888\",\"88342520562898619/4071602436897155328\",\"797883044047/508950304612144416\",\"-11530720855043/775543321313743872\",\"498781483448527/16286409747588621312\",\"-551446484145703/65145638990354485248\",\"140756865187397/7238404332261609472\",\"2466116240984051/130291277980708970496\",\"5994890648278339/65145638990354485248\",\"842318515761005/18613039711529852928\"],\"prime_valuations\":[[8,1],[13,1],[22,1],[30,1],[73,1],[74,1],[72,1],[57,1]]},{\"element\":[\"37448506368377779/15904697019129513\",\"36054206988397981/31809394038259026\",\"-135083415464096639/31809394038259026\",\"46929061967949545/10603131346086342\",\"778422528955110611/63618788076518052\",\"77229251432424859/63618788076518052\",\"54126679205791531/254475152306072208\",\"1194914209475079397/84825050768690736\",\"597274816718702579/56550033845793824\",\"58219678058957827/21206262692172684\",\"866356247151713477/1017900609224288832\",\"59439842155335899/127237576153036104\",\"-75591208126004143/127237576153036104\",\"-2609028230647095209/2035801218448577664\",\"-67546271614200167/1017900609224288832\",\"132780138295448797/1357200812299051776\",\"151744743225094595/904800541532701184\",\"-3870002112564139/129257220218957312\",\"-882100894984291/1809601083065402368\",\"-298944115119523/8143204873794310656\",\"-171004705195813/10857606498392414208\",\"445302342940873/32572819495177242624\",\"32243816119819/775543321313743872\",\"104303788171931/4071602436897155328\",\"-4145127393643409/130291277980708970496\",\"-8869648207745393/130291277980708970496\",\"-2058764214047/2035801218448577664\"],\"prime_valuations\":[[8,1],[24,1],[75,1],[76,1],[72,1]]},{\"element\":[\"351602367635509/2272099574161359\",\"60245689762270340/15904697019129513\",\"16332180997158245/3029466098881812\",\"-2497164132883001/3534377115362114\",\"944945479443203111/127237576153036104\",\"261647994071911117/21206262692172684\",\"1677455093352153277/254475152306072208\",\"652315146076896859/254475152306072208\",\"1861263074331552181/254475152306072208\",\"622792763333587559/127237576153036104\",\"37612246593465167/56550033845793824\",\"-263459245812003/56550033845793824\",\"-11050600346538763/678600406149525888\",\"-22119886311321179/127237576153036104\",\"-2287032612236549731/4071602436897155328\",\"3335484085760149/1017900609224288832\",\"14113352022350503/387771660656871936\",\"642947083933427575/8143204873794310656\",\"-31076943110152909/2035801218448577664\",\"46089162154279/4071602436897155328\",\"120963084397613/32572819495177242624\",\"-1284639575809/1163314981970615808\",\"-389514072180277/16286409747588621312\",\"101618177741/21715212996784828416\",\"-79325388712603/65145638990354485248\",\"-1791751741910729/130291277980708970496\",\"-460930007012189/14476808664523218944\"],\"prime_valuations\":[[8,1],[22,1],[54,1],[77,1]]},{\"element\":[\"5277614872965869/2272099574161359\",\"48104233492647517/10603131346086342\",\"-2875125022081606/2272099574161359\",\"3849276011896607/5301565673043171\",\"168697200268808035/21206262692172684\",\"405063317718032549/42412525384345368\",\"-45021216911952353/63618788076518052\",\"462402888247441135/84825050768690736\",\"797440376853609523/84825050768690736\",\"678014589486193735/169650101537381472\",\"23187292053898277/21206262692172684\",\"77890963970795855/1017900609224288832\",\"181687554717233737/508950304612144416\",\"-465310322500223573/508950304612144416\",\"-173632669458174737/508950304612144416\",\"-86226479619556705/2035801218448577664\",\"80381788616338501/581657490985307904\",\"60873002097733397/2035801218448577664\",\"-77287949134484023/8143204873794310656\",\"-19284071254535/16286409747588621312\",\"-2998203518365/1017900609224288832\",\"-14240040936977/517028880875829248\",\"766569081349691/32572819495177242624\",\"130385385823195/32572819495177242624\",\"268175039110093/16286409747588621312\",\"-175454324144207/3619202166130804736\",\"-2576562750600893/130291277980708970496\"],\"prime_valuations\":[[2,1],[12,1],[7,1],[8,1],[53,1],[78,1],[77,1]]},{\"element\":[\"77438704761748367/15904697019129513\",\"-33239573379706121/5301565673043171\",\"-96933960429384329/63618788076518052\",\"-56968713315066865/63618788076518052\",\"-925129232139723743/63618788076518052\",\"-1390239242600178403/63618788076518052\",\"-1117081047359311495/127237576153036104\",\"-589623126445447037/42412525384345368\",\"-920163891901306751/42412525384345368\",\"-319851415496889221/31809394038259026\",\"-912935092079231587/339300203074762944\",\"89701824337487899/339300203074762944\",\"-105458474802433169/1017900609224288832\",\"283737587003552575/169650101537381472\",\"1750000621110406439/2035801218448577664\",\"13341960700205575/1357200812299051776\",\"-327272736178024187/1357200812299051776\",\"-9505501685485189/96942915164217984\",\"204729494502229373/8143204873794310656\",\"612925366822201/16286409747588621312\",\"-252784415310451/8143204873794310656\",\"110277944518895/5428803249196207104\",\"-11410116890863/258514440437914624\",\"153422324489165/16286409747588621312\",\"-128322174740029/65145638990354485248\",\"5820944762605325/65145638990354485248\",\"13665295983588713/260582555961417940992\"],\"prime_valuations\":[[7,1],[8,1],[14,1],[21,1],[79,1],[80,1]]},{\"element\":[\"18170295943847582/15904697019129513\",\"-62431386730702907/31809394038259026\",\"4003804055923484/5301565673043171\",\"180441204732052423/31809394038259026\",\"-4547558086827263/6058932197763624\",\"-421608185809929605/63618788076518052\",\"209048175795424405/254475152306072208\",\"-14791043221876189/12117864395527248\",\"-795798421583744405/84825050768690736\",\"-171528018931039577/28275016922896912\",\"-1627746300304784237/1017900609224288832\",\"-196638153317831993/508950304612144416\",\"-225343365588768167/678600406149525888\",\"380212216344148583/678600406149525888\",\"2753983961352552605/4071602436897155328\",\"81124399889820029/2035801218448577664\",\"-717123255182267881/8143204873794310656\",\"-678475238279930389/8143204873794310656\",\"17715485990350111/1017900609224288832\",\"7639028926873/904800541532701184\",\"145941178566671/32572819495177242624\",\"128732050577513/32572819495177242624\",\"-609755560700305/32572819495177242624\",\"-1427226643049401/65145638990354485248\",\"-174389016970751/9306519855764926464\",\"212898510148605/7238404332261609472\",\"9447330521648969/260582555961417940992\"],\"prime_valuations\":[[6,1],[13,1],[64,1],[80,1]]},{\"element\":[\"27260969690241316/15904697019129513\",\"547845718665169/252455508240151\",\"-8888726300211241/21206262692172684\",\"1172113975421624/1767188557681057\",\"113686709940649765/63618788076518052\",\"-258152917700258317/63618788076518052\",\"-196825712369233537/127237576153036104\",\"194006961719716613/84825050768690736\",\"-529197215971790245/254475152306072208\",\"-493283964723696203/254475152306072208\",\"-769329275082632623/1017900609224288832\",\"177750673846346273/1017900609224288832\",\"-168129756385627577/508950304612144416\",\"3413987306605171/1017900609224288832\",\"534555265632608365/2035801218448577664\",\"3430300186229837/72707186373163488\",\"-11047508119119077/4071602436897155328\",\"-94054124692629545/2035801218448577664\",\"65746218755991545/8143204873794310656\",\"-16564387062991/16286409747588621312\",\"-977748137057/129257220218957312\",\"9697983004049/508950304612144416\",\"-52573165650235/5428803249196207104\",\"145872620778559/16286409747588621312\",\"-86541333206623/5428803249196207104\",\"-120107244785779/65145638990354485248\",\"209198709880387/12408693141019901952\"],\"prime_valuations\":[[12,2],[22,2],[81,1]]},{\"element\":[\"5101734771597308/1767188557681057\",\"156764280066623069/31809394038259026\",\"148634135429104121/31809394038259026\",\"43461954327446095/9088398296645436\",\"172758751475657153/31809394038259026\",\"264863276216233139/42412525384345368\",\"128134085810714461/42412525384345368\",\"-84768226650250735/254475152306072208\",\"-636292938386518069/254475152306072208\",\"-887458309194571643/508950304612144416\",\"-238024858365110567/254475152306072208\",\"-52954564849373521/127237576153036104\",\"30360639005568769/339300203074762944\",\"116568898404786529/508950304612144416\",\"189104938459674809/1017900609224288832\",\"-70978744992652723/4071602436897155328\",\"-14875368426483581/678600406149525888\",\"-17488465063199219/1017900609224288832\",\"4421978354057179/1163314981970615808\",\"243148374325553/8143204873794310656\",\"3898253897393/904800541532701184\",\"-68051008015593/3619202166130804736\",\"-1097421077916871/32572819495177242624\",\"-112822516224521/4653259927882463232\",\"46549692004799/21715212996784828416\",\"61778872412273/7238404332261609472\",\"515697956661395/65145638990354485248\"],\"prime_valuations\":[[0,2],[7,2],[82,1],[59,1],[81,1]]},{\"element\":[\"102662370110056409/15904697019129513\",\"-41267799210537083/15904697019129513\",\"-416084301904238887/31809394038259026\",\"4089437184474997/9088398296645436\",\"-31648206256587803/31809394038259026\",\"-114767248933558741/5301565673043171\",\"-1649059189912504429/127237576153036104\",\"105125660543199913/28275016922896912\",\"-217401891774777127/21206262692172684\",\"-1293237908950203373/127237576153036104\",\"-554875200379414193/254475152306072208\",\"28908237994258951/127237576153036104\",\"-356049906416062211/1017900609224288832\",\"-274251618456455089/1017900609224288832\",\"166553646257896717/127237576153036104\",\"218247686022472345/4071602436897155328\",\"6120335479131919/254475152306072208\",\"-27114916339023913/127237576153036104\",\"7175180642221351/193885830328435968\",\"-2227344653837/127237576153036104\",\"-1187083533887/678600406149525888\",\"277612940865593/16286409747588621312\",\"69494193837143/2714401624598103552\",\"15545788747055/1163314981970615808\",\"-380904550402231/21715212996784828416\",\"-787107925529179/65145638990354485248\",\"2511978847557227/32572819495177242624\"],\"prime_valuations\":[[12,1],[7,2],[53,3],[83,1],[81,1]]},{\"element\":[\"-3824615643802496/15904697019129513\",\"31707066667156906/15904697019129513\",\"104656305185066039/31809394038259026\",\"5735859465804701/2272099574161359\",\"351495317758988141/63618788076518052\",\"380528718353337749/63618788076518052\",\"86001685516023551/21206262692172684\",\"17931214646523644/5301565673043171\",\"100464425261978507/63618788076518052\",\"-3644503312843675/31809394038259026\",\"-28258459773994145/84825050768690736\",\"-7870404278548723/21206262692172684\",\"-6242118377779589/63618788076518052\",\"-151804739269657603/1017900609224288832\",\"7917616889215097/84825050768690736\",\"468146205296839/56550033845793824\",\"8631073097230387/339300203074762944\",\"-12783815892653279/1017900609224288832\",\"21669477069825/16157152527369664\",\"2152388026713/452400270766350592\",\"20057411515459/1357200812299051776\",\"-11622396232351/4071602436897155328\",\"-72466064770231/5428803249196207104\",\"-4992000128593/258514440437914624\",\"-11823755464383/1809601083065402368\",\"-28849706046617/2714401624598103552\",\"45083842663217/16286409747588621312\"],\"prime_valuations\":[[1,1],[13,1],[30,1],[84,1]]},{\"element\":[\"52984072690415957/15904697019129513\",\"14067510391519433/2272099574161359\",\"193943036302109617/31809394038259026\",\"257636812375702667/31809394038259026\",\"194762128301602247/15904697019129513\",\"394157177402091559/31809394038259026\",\"1155205766523092825/127237576153036104\",\"313691405231978071/42412525384345368\",\"166788807517769215/42412525384345368\",\"134226639146611517/508950304612144416\",\"-224949868358313419/508950304612144416\",\"-15165541019733005/21206262692172684\",\"-32625693928094585/127237576153036104\",\"-209992553025452749/678600406149525888\",\"111768272239373611/1017900609224288832\",\"2894792808574673/96942915164217984\",\"8089103791500619/169650101537381472\",\"-1483009265594109/113100067691587648\",\"4541712667008403/8143204873794310656\",\"7890624845695/678600406149525888\",\"2641360412471/96942915164217984\",\"-465233734665571/32572819495177242624\",\"-356548463381897/16286409747588621312\",\"-101706465333043/2714401624598103552\",\"-64453860772109/3619202166130804736\",\"-227111110225957/10857606498392414208\",\"1757063002157/1551086642627487744\"],\"prime_valuations\":[[0,3],[12,2],[14,1],[85,1],[84,1]]},{\"element\":[\"20402715958998256/15904697019129513\",\"2386287903221921/31809394038259026\",\"107614005238200889/63618788076518052\",\"13817812187309128/15904697019129513\",\"-146010032080402801/63618788076518052\",\"351144540080753443/127237576153036104\",\"222747554592490919/127237576153036104\",\"-269929533793675639/127237576153036104\",\"555151849831912747/127237576153036104\",\"2172415058030857781/508950304612144416\",\"1481072733114080069/1017900609224288832\",\"1719418739082659/7068754230724228\",\"8903278920483515/63618788076518052\",\"1529593304096183/84825050768690736\",\"-1208952251870367703/2035801218448577664\",\"-6488742039172787/678600406149525888\",\"-17343841891119041/2035801218448577664\",\"61233049242966527/678600406149525888\",\"-64171610301752347/4071602436897155328\",\"-22065086035547/2714401624598103552\",\"-19489536581927/2714401624598103552\",\"-501317599486759/32572819495177242624\",\"576482452829111/32572819495177242624\",\"143162808490649/10857606498392414208\",\"32112197855627/5428803249196207104\",\"137668265791235/32572819495177242624\",\"-8548918349695019/260582555961417940992\"],\"prime_valuations\":[[12,2],[7,1],[13,1],[64,1],[86,1],[84,1]]},{\"element\":[\"59115524344044719/15904697019129513\",\"79216238906088091/15904697019129513\",\"-49594005260795171/63618788076518052\",\"157121630947264099/63618788076518052\",\"1724075406050272357/127237576153036104\",\"640398656799058463/127237576153036104\",\"-57934294955996267/14137508461448456\",\"24863963531650031/10603131346086342\",\"2333439831652237961/508950304612144416\",\"216431459545494617/127237576153036104\",\"19137721200901277/339300203074762944\",\"754255915252398845/1017900609224288832\",\"520206022623878207/2035801218448577664\",\"-253408834192967699/508950304612144416\",\"-1077767839049331419/4071602436897155328\",\"-1522509810807331/127237576153036104\",\"175554416816275445/2035801218448577664\",\"2072105914577939/193885830328435968\",\"-72497622758174491/16286409747588621312\",\"200371572781451/16286409747588621312\",\"-237571854685219/5428803249196207104\",\"-1083692259401543/32572819495177242624\",\"-22522057959461/1551086642627487744\",\"2329059735480077/65145638990354485248\",\"1410870164789051/130291277980708970496\",\"-218217162615989/7238404332261609472\",\"-135361335071337/14476808664523218944\"],\"prime_valuations\":[[12,1],[8,1],[14,1],[22,1],[30,1],[87,1],[58,1]]},{\"element\":[\"2113127272076902/5301565673043171\",\"4266246824975419/4544199148322718\",\"-400654237859522473/63618788076518052\",\"-17690111735128291/7068754230724228\",\"878052636413134891/127237576153036104\",\"-72080656148795971/31809394038259026\",\"-1509485302478434399/254475152306072208\",\"508088038488316765/127237576153036104\",\"270776779174176493/84825050768690736\",\"-4130874842734853/63618788076518052\",\"-20642569158235877/254475152306072208\",\"289543059765069235/508950304612144416\",\"51917526376014259/2035801218448577664\",\"-404168367839831369/678600406149525888\",\"207592870406246669/4071602436897155328\",\"2383223565359347/193885830328435968\",\"727849817982707597/8143204873794310656\",\"-296066683436373343/8143204873794310656\",\"3327576362962283/904800541532701184\",\"-23305964485199/2035801218448577664\",\"-17708088348919/1551086642627487744\",\"-150771671980441/32572819495177242624\",\"1040637201251/127237576153036104\",\"2050542329542151/65145638990354485248\",\"34586274029263/32572819495177242624\",\"-538515804740645/16286409747588621312\",\"23642704730491/3102173285254975488\"],\"prime_valuations\":[[7,1],[88,1],[19,1],[58,1]]},{\"element\":[\"25098095542593088/15904697019129513\",\"-138257662306356745/31809394038259026\",\"390422347581105907/63618788076518052\",\"165136863900031451/63618788076518052\",\"-133261421571837253/18176796593290872\",\"19152534266612011/10603131346086342\",\"1392582496339875983/254475152306072208\",\"-80681645596065185/18176796593290872\",\"-341688038714201345/84825050768690736\",\"-18521843417794093/31809394038259026\",\"-15303701445660673/508950304612144416\",\"-109171591303240451/169650101537381472\",\"80799734518491773/2035801218448577664\",\"138177650829859387/226200135383175296\",\"33317895892124017/1357200812299051776\",\"-92174741122411343/4071602436897155328\",\"-741710552542372757/8143204873794310656\",\"219819250194631375/8143204873794310656\",\"-15462669664281619/8143204873794310656\",\"19919581692217/1357200812299051776\",\"143874118707185/10857606498392414208\",\"22721081874649/32572819495177242624\",\"-28170818355397/4071602436897155328\",\"-2319074119010359/65145638990354485248\",\"9529704284351/4653259927882463232\",\"278943648490531/8143204873794310656\",\"-28423095683867/7238404332261609472\"],\"prime_valuations\":[[12,1],[13,2],[82,1],[50,1],[15,1],[58,1]]},{\"element\":[\"57411701727420140/15904697019129513\",\"-76808489694921779/15904697019129513\",\"-500223469238452357/63618788076518052\",\"16893037500579245/15904697019129513\",\"-102288955084508371/10603131346086342\",\"-135788004724100315/5301565673043171\",\"-148117504549205143/14137508461448456\",\"-552268663644430753/84825050768690736\",\"-1231269841028897729/63618788076518052\",\"-511977781173164023/42412525384345368\",\"-2862270059666404039/1017900609224288832\",\"138611580507866665/1017900609224288832\",\"-187347962874020297/508950304612144416\",\"497571831818206015/508950304612144416\",\"2590144306541024605/2035801218448577664\",\"6555248132681833/127237576153036104\",\"-627466222235266261/4071602436897155328\",\"-357646726816880737/2035801218448577664\",\"293096575980455621/8143204873794310656\",\"14944145147045/16286409747588621312\",\"-55001269937401/8143204873794310656\",\"83042096126375/4071602436897155328\",\"-10907639904445/904800541532701184\",\"55404267671771/8143204873794310656\",\"-146091457317983/8143204873794310656\",\"293874461336417/5428803249196207104\",\"19549655398164995/260582555961417940992\"],\"prime_valuations\":[[19,1],[54,1],[86,1]]},{\"element\":[\"-9526150195020289/15904697019129513\",\"69771930292270975/31809394038259026\",\"-74218269425739697/63618788076518052\",\"-25763052868216652/15904697019129513\",\"71315513883432107/31809394038259026\",\"185284045787868823/63618788076518052\",\"-63192369135626195/42412525384345368\",\"17539629836934101/10603131346086342\",\"491191431405267167/127237576153036104\",\"920014282732000219/508950304612144416\",\"166229573033565227/339300203074762944\",\"6129978617015611/42412525384345368\",\"10570358907793091/63618788076518052\",\"-382616313739634717/1017900609224288832\",\"-113021687715494119/678600406149525888\",\"-821516187389171/42412525384345368\",\"26259396847955561/452400270766350592\",\"55314978959858321/4071602436897155328\",\"-3748842459779489/904800541532701184\",\"-1931122694129/226200135383175296\",\"-102317958553/42412525384345368\",\"-6590732568761/1017900609224288832\",\"26547286264907/2714401624598103552\",\"3721647346173/452400270766350592\",\"11773415656375/1357200812299051776\",\"-870796872313799/43430425993569656832\",\"-2248955058438335/260582555961417940992\"],\"prime_valuations\":[[64,1],[89,1],[86,1]]},{\"element\":[\"-2734892306063515/5301565673043171\",\"18871384806232846/15904697019129513\",\"-107424659279558881/63618788076518052\",\"44732843639251097/31809394038259026\",\"8697468219825299/5301565673043171\",\"90581217358444367/127237576153036104\",\"-32996220709756163/15904697019129513\",\"-141275071904130833/254475152306072208\",\"-469136842198132693/127237576153036104\",\"-315769171978703687/72707186373163488\",\"-911625047818289363/1017900609224288832\",\"-30240373394078797/48471457582108992\",\"29792484049958947/72707186373163488\",\"-32461214364294779/290828745492653952\",\"160467338616220901/290828745492653952\",\"-21093892761037483/339300203074762944\",\"93355720633339991/4071602436897155328\",\"-306697136504377463/4071602436897155328\",\"106065165158162491/8143204873794310656\",\"-58274314020371/16286409747588621312\",\"124719699608941/4071602436897155328\",\"-279000792504821/8143204873794310656\",\"6768301441997/10857606498392414208\",\"-1017490955159459/32572819495177242624\",\"570931199951293/32572819495177242624\",\"-234876263221367/43430425993569656832\",\"7049214164935169/260582555961417940992\"],\"prime_valuations\":[[56,1],[25,1],[90,1],[86,1]]},{\"element\":[\"-32843379791696878/15904697019129513\",\"110158529014677989/31809394038259026\",\"342694507355566531/31809394038259026\",\"218387821275867533/31809394038259026\",\"141898451175893275/10603131346086342\",\"3428311127710774357/127237576153036104\",\"313664825828343176/15904697019129513\",\"293708065885878327/28275016922896912\",\"12356826351816355861/508950304612144416\",\"2059391677857857317/127237576153036104\",\"4038259525711550627/1017900609224288832\",\"107902572295946069/508950304612144416\",\"-268493938967917699/678600406149525888\",\"-293421508504718179/339300203074762944\",\"-29054900629864427/15904697019129513\",\"281337189347183153/4071602436897155328\",\"233784117152924803/2035801218448577664\",\"702073268501307043/2714401624598103552\",\"-817420339072786373/16286409747588621312\",\"-40359593622211/4071602436897155328\",\"-456126228350725/32572819495177242624\",\"-289497687537925/32572819495177242624\",\"1183952766873169/65145638990354485248\",\"224845260855655/21715212996784828416\",\"-1555579650436037/65145638990354485248\",\"-3060237386405737/65145638990354485248\",\"-27260334513711511/260582555961417940992\"],\"prime_valuations\":[[12,1],[8,2],[82,1],[24,1],[91,1],[92,1],[84,1]]},{\"element\":[\"45886109422887844/15904697019129513\",\"-12845543630028664/5301565673043171\",\"-22868915449598845/7068754230724228\",\"267382134118638017/63618788076518052\",\"-30640532050482285/7068754230724228\",\"-110353104982827289/18176796593290872\",\"87278382351027923/36353593186581744\",\"5029925292093925/21206262692172684\",\"-507092036117506177/72707186373163488\",\"-2582346130749020159/508950304612144416\",\"-2511002402103707/2272099574161359\",\"-177123038835013447/254475152306072208\",\"-36471277247831775/113100067691587648\",\"279439718554517987/678600406149525888\",\"1277664170197280377/2035801218448577664\",\"11710848309114257/339300203074762944\",\"-198033897535792525/2714401624598103552\",\"-584459640935343479/8143204873794310656\",\"80486079341440249/5428803249196207104\",\"3427503319063/290828745492653952\",\"421228765783657/10857606498392414208\",\"8443143541061/1809601083065402368\",\"3258273244417/10857606498392414208\",\"-1126427369668873/32572819495177242624\",\"-2476071172966921/130291277980708970496\",\"442005867338273/18613039711529852928\",\"8059583165425901/260582555961417940992\"],\"prime_valuations\":[[7,2],[30,1],[93,1],[10,1],[92,1]]},{\"element\":[\"9988069902747725/5301565673043171\",\"-204227103711416083/31809394038259026\",\"26191237346627341/7068754230724228\",\"60274981349942134/15904697019129513\",\"-165410977676197249/15904697019129513\",\"-936524340486511457/127237576153036104\",\"37233608094777851/21206262692172684\",\"-583589626080355949/42412525384345368\",\"-1345738127756719427/127237576153036104\",\"-211565240845401689/169650101537381472\",\"-57797863303692587/339300203074762944\",\"21646080238837445/63618788076518052\",\"-1264634818236271/127237576153036104\",\"1609728644259488861/1017900609224288832\",\"-66979209952191689/226200135383175296\",\"2075255739841079/169650101537381472\",\"-158947166476436593/678600406149525888\",\"80833695605807239/1017900609224288832\",\"-27421856791385897/4071602436897155328\",\"248260145749655/8143204873794310656\",\"-252241864343261/8143204873794310656\",\"-484668739716409/32572819495177242624\",\"-1080210280796453/32572819495177242624\",\"456687793236739/32572819495177242624\",\"-66441633070775/32572819495177242624\",\"5652733727127575/65145638990354485248\",\"-3656035621876205/260582555961417940992\"],\"prime_valuations\":[[8,1],[94,1],[95,1],[74,1]]},{\"element\":[\"8658643545209009/2272099574161359\",\"23879578171104674/5301565673043171\",\"23138587269077039/4544199148322718\",\"35458981376391697/3534377115362114\",\"1117116094619375471/127237576153036104\",\"-138862594744212239/127237576153036104\",\"26332643906324341/5301565673043171\",\"1792155549777112255/254475152306072208\",\"-101135586677242919/15904697019129513\",\"-88905839825229379/14137508461448456\",\"-763044845882842525/339300203074762944\",\"-52340228716651171/84825050768690736\",\"-66400765916263939/84825050768690736\",\"296367317563103509/2035801218448577664\",\"1200038615189690231/1357200812299051776\",\"22017167078559585/226200135383175296\",\"-15994959119298379/581657490985307904\",\"-1011395422905489613/8143204873794310656\",\"91129912088279839/4071602436897155328\",\"129579026458451/8143204873794310656\",\"262432767063473/32572819495177242624\",\"45714700881415/2326629963941231616\",\"-2191957401146641/65145638990354485248\",\"-284082902337419/8143204873794310656\",\"-5531605672980239/130291277980708970496\",\"9579536069795/3619202166130804736\",\"95024911421359/2035801218448577664\"],\"prime_valuations\":[[0,1],[46,2],[96,1],[74,1]]},{\"element\":[\"97355424277919615/15904697019129513\",\"-76266801277994630/15904697019129513\",\"-8753972353314981/1767188557681057\",\"112684620461112673/15904697019129513\",\"-1240580224086829477/127237576153036104\",\"-1267710124823770097/42412525384345368\",\"-1222196929531295485/127237576153036104\",\"-640665543986228479/84825050768690736\",\"-6990348009215271941/254475152306072208\",\"-622842858233636267/36353593186581744\",\"-4311673987099481371/1017900609224288832\",\"-965375133258509/4039288131842416\",\"-43893678668556341/72707186373163488\",\"423030793447481591/290828745492653952\",\"1075856586398932195/581657490985307904\",\"4305429147566761/56550033845793824\",\"-308199336768871363/1357200812299051776\",\"-1997201831042640557/8143204873794310656\",\"205718951285513527/4071602436897155328\",\"173723255449687/8143204873794310656\",\"-395146066558223/32572819495177242624\",\"116527478331469/5428803249196207104\",\"-1958214585592105/65145638990354485248\",\"-132744544771897/8143204873794310656\",\"-4071173822430667/130291277980708970496\",\"5140417391400619/65145638990354485248\",\"6862410015858731/65145638990354485248\"],\"prime_valuations\":[[2,1],[13,1],[25,1],[97,1],[74,1]]},{\"element\":[\"13444082796733667/1767188557681057\",\"-104808186961219031/31809394038259026\",\"-235711201956577531/21206262692172684\",\"560685699710592535/63618788076518052\",\"35016031401694415/18176796593290872\",\"-364794129867625307/15904697019129513\",\"-1238996438780075183/127237576153036104\",\"33670412243510161/6058932197763624\",\"-2241870806945292013/127237576153036104\",\"-2065919567620509047/127237576153036104\",\"-323637058913986399/84825050768690736\",\"-297261119801253007/508950304612144416\",\"-194725467962597273/339300203074762944\",\"-10825665666474187/1017900609224288832\",\"8516452223942588059/4071602436897155328\",\"289757242429858895/4071602436897155328\",\"-73836786652780789/4071602436897155328\",\"-2529078747676679161/8143204873794310656\",\"452245657578811027/8143204873794310656\",\"48247158488353/8143204873794310656\",\"375475726973957/32572819495177242624\",\"1050434546681/127237576153036104\",\"767278799092937/65145638990354485248\",\"-1047529968406681/32572819495177242624\",\"-600021362499995/18613039711529852928\",\"7190428412989/7238404332261609472\",\"30152754113638493/260582555961417940992\"],\"prime_valuations\":[[98,1],[99,2],[74,1]]},{\"element\":[\"-4860500238560683/2272099574161359\",\"60438190198399373/10603131346086342\",\"11701746706166459/9088398296645436\",\"-103183197959711273/31809394038259026\",\"391665820738214719/63618788076518052\",\"1837835539198158359/127237576153036104\",\"2004709675764395/1767188557681057\",\"956195098020342379/254475152306072208\",\"3309518794727036609/254475152306072208\",\"459450163708933919/63618788076518052\",\"1967905397338767211/1017900609224288832\",\"81371876126543063/1017900609224288832\",\"96401025301931111/169650101537381472\",\"-1930818385976787833/2035801218448577664\",\"-1495453394625330619/2035801218448577664\",\"-75717159219561707/1017900609224288832\",\"28846942942406791/193885830328435968\",\"182906140354141391/2035801218448577664\",\"-165568221077642423/8143204873794310656\",\"-181737719733671/16286409747588621312\",\"3836830932391/2035801218448577664\",\"-31656391912493/1163314981970615808\",\"270887212970051/10857606498392414208\",\"170364906375943/32572819495177242624\",\"931468566636887/32572819495177242624\",\"-409159529167051/8143204873794310656\",\"-3682126782623311/86860851987139313664\"],\"prime_valuations\":[[0,2],[7,1],[8,2],[48,1],[93,1],[100,1]]},{\"element\":[\"-5134997313607826/2272099574161359\",\"76344932360524928/15904697019129513\",\"56843981505411089/9088398296645436\",\"-21751840631338655/3534377115362114\",\"961995695264391503/127237576153036104\",\"348797421124500829/15904697019129513\",\"1885878298114813553/254475152306072208\",\"1169745416103069133/254475152306072208\",\"1363357455094881199/63618788076518052\",\"1294160100662653951/84825050768690736\",\"191564680991222439/56550033845793824\",\"394977818827270481/508950304612144416\",\"443216601091848287/2035801218448577664\",\"-288359762760353695/339300203074762944\",\"-7158301915418031523/4071602436897155328\",\"-5978520586387667/339300203074762944\",\"159275187433513765/1163314981970615808\",\"1901858546712884807/8143204873794310656\",\"-23343810159466207/508950304612144416\",\"-66369422383/508950304612144416\",\"-289393373044393/10857606498392414208\",\"3797234815825/1163314981970615808\",\"41950168885207/8143204873794310656\",\"885509753694721/21715212996784828416\",\"100246740531929/7238404332261609472\",\"-6315381523081063/130291277980708970496\",\"-4149317597019869/43430425993569656832\"],\"prime_valuations\":[[13,1],[22,1],[24,1],[48,1],[87,1],[100,1]]},{\"element\":[\"-35377797777354248/15904697019129513\",\"3815346227386957/1767188557681057\",\"124319072256364715/31809394038259026\",\"24048827676008537/5301565673043171\",\"46008632383326989/18176796593290872\",\"89392402696790933/21206262692172684\",\"993820363979148715/254475152306072208\",\"25603898754595865/36353593186581744\",\"-267306791937881081/254475152306072208\",\"-549679364926179311/508950304612144416\",\"-280824426632323055/1017900609224288832\",\"-234715060417224433/508950304612144416\",\"-40143380834407381/2035801218448577664\",\"56918137269030815/678600406149525888\",\"194205401400548831/1357200812299051776\",\"-3239105017018481/2035801218448577664\",\"-35092867441570433/2714401624598103552\",\"-85529784566125199/8143204873794310656\",\"3050507099434525/1357200812299051776\",\"-7158847487269/4071602436897155328\",\"424767429620531/32572819495177242624\",\"-53451338319755/3619202166130804736\",\"-4972243810481/678600406149525888\",\"-178220560283439/7238404332261609472\",\"-35497968041513/9306519855764926464\",\"537439795497485/130291277980708970496\",\"1212518940261479/260582555961417940992\"],\"prime_valuations\":[[1,2],[53,1],[98,1],[100,1],[47,1]]},{\"element\":[\"-1176761902607990/2272099574161359\",\"-13667235252474353/4544199148322718\",\"-1644113565950635/2272099574161359\",\"-7777683141971777/1514733049440906\",\"-24556113514626883/4544199148322718\",\"-9454708247474359/2019644065921208\",\"-83304148356029497/18176796593290872\",\"-43061713551870955/9088398296645436\",\"-23152025398152733/6058932197763624\",\"-91718729798918963/72707186373163488\",\"-1299415560993571/4039288131842416\",\"3704370712115837/18176796593290872\",\"16575351351838361/72707186373163488\",\"13151020158041051/48471457582108992\",\"3842179942320707/48471457582108992\",\"-1261644817972489/36353593186581744\",\"-1043022860591123/32314305054739328\",\"-956376790124237/96942915164217984\",\"3512792801567771/1163314981970615808\",\"4365703705709/1163314981970615808\",\"-1460391635211/129257220218957312\",\"35468430130813/4653259927882463232\",\"-25683799193399/4653259927882463232\",\"46211306374549/4653259927882463232\",\"22773406843873/1551086642627487744\",\"5673031308811/387771660656871936\",\"3250269906727/517028880875829248\"],\"prime_valuations\":[[16,1],[9,1],[46,1],[101,1]]},{\"element\":[\"41502406024780976/5301565673043171\",\"-114919054748232575/31809394038259026\",\"-121442483224057165/7068754230724228\",\"35031998163407809/31809394038259026\",\"-110476265608703977/15904697019129513\",\"-2217530806360712713/63618788076518052\",\"-1373630167325371933/63618788076518052\",\"-67136899686561457/14137508461448456\",\"-1758267678931507913/63618788076518052\",\"-1541979059831255273/72707186373163488\",\"-1686530120571853201/339300203074762944\",\"-3169293132781165/18176796593290872\",\"-250353688334425/9088398296645436\",\"28529731223369123/48471457582108992\",\"718843260843980807/290828745492653952\",\"359746621688675/1017900609224288832\",\"-370708423964686237/4071602436897155328\",\"-1484606692380347927/4071602436897155328\",\"553662751510280227/8143204873794310656\",\"60735900894415/8143204873794310656\",\"35266848783575/8143204873794310656\",\"-7266164941757/8143204873794310656\",\"-111325000940273/32572819495177242624\",\"-313479308544145/32572819495177242624\",\"-60377035150877/32572819495177242624\",\"485598317100377/14476808664523218944\",\"36907870383476321/260582555961417940992\"],\"prime_valuations\":[[14,1],[22,1],[53,1],[102,1],[73,1],[94,1],[101,1]]},{\"element\":[\"11116556840771611/2272099574161359\",\"-97818715457816405/31809394038259026\",\"-5513296986434155/757366524720453\",\"26883943023077165/31809394038259026\",\"-366586254873942823/63618788076518052\",\"-35506954830789982/1767188557681057\",\"-432746172553578497/42412525384345368\",\"-896705050595338811/254475152306072208\",\"-489900749809904257/31809394038259026\",\"-5498316684615934465/508950304612144416\",\"-1299283431302412707/508950304612144416\",\"3484890262204601/113100067691587648\",\"-105262923411700697/508950304612144416\",\"92728407335091011/169650101537381472\",\"136771789497876703/113100067691587648\",\"9774030306156967/339300203074762944\",\"-25117850996081903/290828745492653952\",\"-711769196869513175/4071602436897155328\",\"3823015594677715/113100067691587648\",\"-23143175379953/16286409747588621312\",\"-1453248878119/2035801218448577664\",\"11538373679425/1163314981970615808\",\"-224175586802243/32572819495177242624\",\"55751901974641/32572819495177242624\",\"-338936096205107/32572819495177242624\",\"438245780512691/14476808664523218944\",\"4588898761076555/65145638990354485248\"],\"prime_valuations\":[[7,1],[8,2],[53,1],[103,1],[101,1]]},{\"element\":[\"-16540588151762827/15904697019129513\",\"-70963206287360315/15904697019129513\",\"156308111818226831/63618788076518052\",\"2269984151619307/15904697019129513\",\"-46578688063344779/4544199148322718\",\"-216011353268336051/31809394038259026\",\"104263329472131875/42412525384345368\",\"-275295390332810669/36353593186581744\",\"-1282017430897003075/254475152306072208\",\"4324102799133643/15904697019129513\",\"368082714526962773/1017900609224288832\",\"169705334457107041/1017900609224288832\",\"-36820441117788539/169650101537381472\",\"474487882324800671/508950304612144416\",\"-514421574037668755/2035801218448577664\",\"8345031687754793/254475152306072208\",\"-597360204096607589/4071602436897155328\",\"15353268203895773/254475152306072208\",\"-51055271469020671/8143204873794310656\",\"-113106444958747/16286409747588621312\",\"-34482981598861/8143204873794310656\",\"49475622442849/4071602436897155328\",\"-15840552376715/2714401624598103552\",\"18693939978047/2035801218448577664\",\"-6137087340829/581657490985307904\",\"858378591544549/16286409747588621312\",\"-3395792848493233/260582555961417940992\"],\"prime_valuations\":[[13,1],[14,1],[102,1],[104,1],[42,1]]},{\"element\":[\"39577102499836652/15904697019129513\",\"49747868116037020/15904697019129513\",\"162616921378849991/31809394038259026\",\"151707381694227283/15904697019129513\",\"688089661636366817/63618788076518052\",\"9995035556322611/757366524720453\",\"120006886562070829/9088398296645436\",\"348119334668036909/31809394038259026\",\"36321646790705477/4544199148322718\",\"1645977075655959493/508950304612144416\",\"31389882508353569/72707186373163488\",\"-159513719924759311/254475152306072208\",\"-329885635659156235/508950304612144416\",\"-903895373996328593/2035801218448577664\",\"-46246204180775467/254475152306072208\",\"85860223345208047/1017900609224288832\",\"18076153816603019/339300203074762944\",\"14771633820834505/508950304612144416\",\"-6756298221249009/904800541532701184\",\"6436126451441/581657490985307904\",\"994374437737/42412525384345368\",\"186609280525921/32572819495177242624\",\"-10882564151309/2714401624598103552\",\"-268192885336147/8143204873794310656\",\"-202274559850583/5428803249196207104\",\"-1283423310385/48471457582108992\",\"-126469908504997/8143204873794310656\"],\"prime_valuations\":[[1,1],[13,1],[14,1],[37,1],[96,1],[42,1]]},{\"element\":[\"15745865631511126/15904697019129513\",\"40682080522231949/15904697019129513\",\"18402990196960195/21206262692172684\",\"159272019148653017/21206262692172684\",\"898458237174913993/127237576153036104\",\"65176289136999679/31809394038259026\",\"1304283127445403575/254475152306072208\",\"124128533700256574/15904697019129513\",\"9095838975716665/42412525384345368\",\"-198749525207535145/72707186373163488\",\"-21634145245482041/31809394038259026\",\"-14665324339302761/24235728791054496\",\"-15110967964372677/32314305054739328\",\"-97336900520733277/290828745492653952\",\"285444328567385369/581657490985307904\",\"81825334256602597/1357200812299051776\",\"297717887341039397/8143204873794310656\",\"-587160407798002771/8143204873794310656\",\"30670530242050999/2714401624598103552\",\"-14765596042409/1017900609224288832\",\"849165296364971/32572819495177242624\",\"-18815333005417/32572819495177242624\",\"26744372420207/5428803249196207104\",\"-1991404905121307/65145638990354485248\",\"-56776707006721/2035801218448577664\",\"-807187315266163/43430425993569656832\",\"3062497092100627/130291277980708970496\"],\"prime_valuations\":[[12,3],[16,1],[31,1],[33,1]]},{\"element\":[\"12137586566131709/15904697019129513\",\"-7852235829497239/4544199148322718\",\"-72189487263271321/31809394038259026\",\"7381079045351983/5301565673043171\",\"-73992082043402471/15904697019129513\",\"-167092378382041709/15904697019129513\",\"-67549623918707627/14137508461448456\",\"-54990233800920935/15904697019129513\",\"-4874790186210267797/508950304612144416\",\"-32601680890709339/5301565673043171\",\"-1412413428995936249/1017900609224288832\",\"-119733924151779913/1017900609224288832\",\"-70498336146360749/2035801218448577664\",\"430300552515008449/1017900609224288832\",\"229302174638921399/339300203074762944\",\"1356114858731/193885830328435968\",\"-261888848121841747/4071602436897155328\",\"-246861365201689919/2714401624598103552\",\"99229755509312291/5428803249196207104\",\"7991131846223/16286409747588621312\",\"-2050743560059/517028880875829248\",\"58378077789823/16286409747588621312\",\"-30724763928289/7238404332261609472\",\"-161772448408499/21715212996784828416\",\"-14502616425599/10857606498392414208\",\"3087581391566141/130291277980708970496\",\"1417128257574997/37226079423059705856\"],\"prime_valuations\":[[0,1],[7,1],[14,1],[103,1],[33,1]]},{\"element\":[\"4374813784494301/1767188557681057\",\"-138512036319592/2272099574161359\",\"-207272647685197135/63618788076518052\",\"18464563028507749/10603131346086342\",\"69150151763095511/31809394038259026\",\"-129138839299136081/31809394038259026\",\"-77814314598212873/63618788076518052\",\"49160485778144617/14137508461448456\",\"-33736020874332796/15904697019129513\",\"-46002246763528945/15904697019129513\",\"-814518494455770437/1017900609224288832\",\"-9657706617006383/127237576153036104\",\"-137316743804499935/508950304612144416\",\"-17840225462294833/127237576153036104\",\"857557888951735681/2035801218448577664\",\"10466438933327363/290828745492653952\",\"7816960881244367/508950304612144416\",\"-69023801675492023/1017900609224288832\",\"30944084849779499/2714401624598103552\",\"-776913078539/2035801218448577664\",\"59779392205/16157152527369664\",\"86504439607469/8143204873794310656\",\"1058348059613/904800541532701184\",\"-484279507387/127237576153036104\",\"-152695710832067/10857606498392414208\",\"-268006423171955/32572819495177242624\",\"98245092604653/4136231047006633984\"],\"prime_valuations\":[[2,1],[7,2],[8,1],[33,1]]},{\"element\":[\"11313850907940508/15904697019129513\",\"-30757769835195251/10603131346086342\",\"-107830198849302229/31809394038259026\",\"-38116122065557283/15904697019129513\",\"-19565660982133549/2272099574161359\",\"-767012588662259005/63618788076518052\",\"-134583417788370359/21206262692172684\",\"-253768336805662669/36353593186581744\",\"-857133143475533017/127237576153036104\",\"-1438902518604969529/508950304612144416\",\"-49285996835985811/254475152306072208\",\"347918575214722081/1017900609224288832\",\"5665354158848199/56550033845793824\",\"520191551923155937/1017900609224288832\",\"168107838701062019/1017900609224288832\",\"-674765007094553/127237576153036104\",\"-27576634527195739/339300203074762944\",\"-74081534488594561/4071602436897155328\",\"24097104758686513/4071602436897155328\",\"-380197869041827/16286409747588621312\",\"-33609741302497/8143204873794310656\",\"-10453781515721/4071602436897155328\",\"6897275306203/678600406149525888\",\"161136904383719/8143204873794310656\",\"6413357959003/1163314981970615808\",\"4068679775697379/130291277980708970496\",\"536532980778205/43430425993569656832\"],\"prime_valuations\":[[13,1],[65,1],[95,1],[18,1],[105,1]]},{\"element\":[\"-3355493875950800/2272099574161359\",\"-1654522704185551/757366524720453\",\"-5601948979256071/2272099574161359\",\"-2129533100362634/2272099574161359\",\"-1239158384368730/757366524720453\",\"25603279136623331/18176796593290872\",\"-45607103537745809/18176796593290872\",\"55339685823888463/36353593186581744\",\"294544823167195825/72707186373163488\",\"3574251087769065/2019644065921208\",\"14921416412114385/16157152527369664\",\"-737352033525445/24235728791054496\",\"99265394496098101/290828745492653952\",\"-155578418450793623/290828745492653952\",\"-16183768444848845/145414372746326976\",\"-28846082790650425/581657490985307904\",\"10950524325636955/145414372746326976\",\"10841880780276661/1163314981970615808\",\"-8827534998266083/2326629963941231616\",\"-1682535307231/581657490985307904\",\"-29343166611467/4653259927882463232\",\"-3263957759131/258514440437914624\",\"347139137720515/9306519855764926464\",\"-2764104659065/1034057761751658496\",\"83586313954967/4653259927882463232\",\"-153910434990907/6204346570509950976\",\"-293915521396403/37226079423059705856\"],\"prime_valuations\":[[1,1],[7,1],[13,1],[56,1],[62,1],[105,1]]},{\"element\":[\"-7235810782683208/15904697019129513\",\"-53816147835954377/15904697019129513\",\"-58320012961729679/63618788076518052\",\"6253778643900628/5301565673043171\",\"-105246968495189593/31809394038259026\",\"-590492744886543767/127237576153036104\",\"133510492472133545/127237576153036104\",\"-118336632496382599/127237576153036104\",\"-304436470073410405/127237576153036104\",\"-67217409470239685/72707186373163488\",\"-60437778301618691/1017900609224288832\",\"-9816256942000/2272099574161359\",\"-17146357433581661/72707186373163488\",\"77036851625512619/290828745492653952\",\"20597109490203967/290828745492653952\",\"66147501211757663/2035801218448577664\",\"-65159768342122921/1357200812299051776\",\"-12894083783865559/4071602436897155328\",\"5176578767741467/2714401624598103552\",\"-16984022618825/8143204873794310656\",\"3373305168553/2714401624598103552\",\"10464968627857/1017900609224288832\",\"15502188590813/3619202166130804736\",\"47814247499/32572819495177242624\",\"-21863687271347/1809601083065402368\",\"227422169961641/14476808664523218944\",\"1036973923697023/260582555961417940992\"],\"prime_valuations\":[[12,1],[7,1],[22,1],[75,1],[26,1],[105,1]]},{\"element\":[\"1247004306235475/1767188557681057\",\"-20003065409763367/4544199148322718\",\"-325438588116113321/63618788076518052\",\"-2756854422382387/31809394038259026\",\"-18387576047512936/5301565673043171\",\"-1218541727430973019/127237576153036104\",\"-388156742899169917/63618788076518052\",\"-471846553882952447/254475152306072208\",\"-1900161848906157317/254475152306072208\",\"-1384546308395428361/254475152306072208\",\"-1227557319495167621/1017900609224288832\",\"-51048479059657673/1017900609224288832\",\"4369438983937397/56550033845793824\",\"109882786867896671/678600406149525888\",\"1285296897689228681/2035801218448577664\",\"-2016257404859755/145414372746326976\",\"-100950966741580589/4071602436897155328\",\"-3877302698070239/42412525384345368\",\"139955857347479749/8143204873794310656\",\"233922582793741/16286409747588621312\",\"-314370464991/64628610109478656\",\"-1031048566481/904800541532701184\",\"42553457377741/10857606498392414208\",\"-132221171379095/32572819495177242624\",\"16031546894241/3619202166130804736\",\"652262057062799/65145638990354485248\",\"1332522686609081/37226079423059705856\"],\"prime_valuations\":[[12,1],[7,1],[14,1],[24,1],[106,1],[107,1]]},{\"element\":[\"864392602453573/757366524720453\",\"-21968793596518778/15904697019129513\",\"-47993590311959287/4544199148322718\",\"-3264860522947267/10603131346086342\",\"60672404534726893/63618788076518052\",\"-484855455349887913/42412525384345368\",\"-1528720811711921827/127237576153036104\",\"519252686300560199/254475152306072208\",\"-243401900945850221/31809394038259026\",\"-4530024121727080523/508950304612144416\",\"-468061760193585857/254475152306072208\",\"-249313620534557477/1017900609224288832\",\"85522920389096053/254475152306072208\",\"-328973176014253873/678600406149525888\",\"100026937570545659/84825050768690736\",\"-98513275787387051/2035801218448577664\",\"6921016609428065/96942915164217984\",\"-765016060191464675/4071602436897155328\",\"128420923648706267/4071602436897155328\",\"-13893958148141/16286409747588621312\",\"31893703794341/2714401624598103552\",\"-24909873749741/1163314981970615808\",\"195118436198257/8143204873794310656\",\"-200677925396689/16286409747588621312\",\"57144289223281/3619202166130804736\",\"-343691263059323/14476808664523218944\",\"8554494801656023/130291277980708970496\"],\"prime_valuations\":[[0,2],[13,2],[30,1],[46,1],[18,1],[89,1],[107,1]]},{\"element\":[\"34442272003406710/15904697019129513\",\"1309138131835120/2272099574161359\",\"-76405189178314961/63618788076518052\",\"188104495181608121/31809394038259026\",\"38444754258947390/5301565673043171\",\"-2735613190053733/10603131346086342\",\"32396361692692049/15904697019129513\",\"391797262028450399/63618788076518052\",\"2225519202722125/15904697019129513\",\"-111659512334538835/56550033845793824\",\"-230110397281783493/339300203074762944\",\"-7210881731520695/42412525384345368\",\"-215404740694616435/508950304612144416\",\"-499497976161297875/2035801218448577664\",\"680258660522082169/2035801218448577664\",\"492101069103019/8078576263684832\",\"56809782110342789/2035801218448577664\",\"-12586530805396271/226200135383175296\",\"734921060404165/84825050768690736\",\"786701542735/2714401624598103552\",\"997226932683/129257220218957312\",\"104122057409861/32572819495177242624\",\"-90132022575233/32572819495177242624\",\"-93879114682657/10857606498392414208\",\"-262737346133371/10857606498392414208\",\"-59880896707603/4071602436897155328\",\"672627318752069/37226079423059705856\"],\"prime_valuations\":[[2,1],[12,1],[7,2],[14,1],[53,1],[43,1],[107,1]]},{\"element\":[\"-4087487279617291/5301565673043171\",\"56683040333583226/15904697019129513\",\"-95431760009486039/63618788076518052\",\"-2322840650123429/3534377115362114\",\"81689934695231459/31809394038259026\",\"160828904083574245/42412525384345368\",\"-5311897913158561/31809394038259026\",\"472189395715803337/127237576153036104\",\"86211455518754399/15904697019129513\",\"1094909105902356235/508950304612144416\",\"701954137860655615/1017900609224288832\",\"1108569860947919/31809394038259026\",\"46623408689592701/508950304612144416\",\"-367840368450804343/678600406149525888\",\"-107712464098099513/678600406149525888\",\"-19525064068890071/2035801218448577664\",\"105557191631783635/1357200812299051776\",\"45945151940241061/4071602436897155328\",\"-36049298998451141/8143204873794310656\",\"-13193512483871/1017900609224288832\",\"1652630912017/339300203074762944\",\"-54321688024007/8143204873794310656\",\"313293291126989/16286409747588621312\",\"12767656807439/4071602436897155328\",\"14938370881731/3619202166130804736\",\"-408262903860713/14476808664523218944\",\"-2406041488600087/260582555961417940992\"],\"prime_valuations\":[[2,1],[5,1],[45,1],[97,1],[71,1]]},{\"element\":[\"60209437064407459/15904697019129513\",\"-89131577387259137/15904697019129513\",\"-733638743808201107/63618788076518052\",\"-46763004496441991/9088398296645436\",\"-776577529332311423/63618788076518052\",\"-1600866264630041459/63618788076518052\",\"-297752091582483787/14137508461448456\",\"-553941992655279119/42412525384345368\",\"-5526258124451558507/254475152306072208\",\"-1118067007663143205/84825050768690736\",\"-3062372619365696869/1017900609224288832\",\"36724736003176607/113100067691587648\",\"705370857761336003/1017900609224288832\",\"213918152586988963/254475152306072208\",\"909848812920193217/678600406149525888\",\"-131848465118481737/1357200812299051776\",\"-148959118448817289/1357200812299051776\",\"-390344326903811675/2035801218448577664\",\"44586599128067971/1163314981970615808\",\"179019879925493/5428803249196207104\",\"-85509827277071/2714401624598103552\",\"-265180422148979/16286409747588621312\",\"-49127384860987/5428803249196207104\",\"10058913165163/775543321313743872\",\"278284519889011/7238404332261609472\",\"258912618039409/5428803249196207104\",\"20810520233583145/260582555961417940992\"],\"prime_valuations\":[[12,1],[36,1],[82,1],[56,1],[71,1]]},{\"element\":[\"2764171088573974/757366524720453\",\"1117712623507561/1767188557681057\",\"-2605284051812219/252455508240151\",\"14623053348959938/15904697019129513\",\"9591975594944170/15904697019129513\",\"-598716675076265839/31809394038259026\",\"-68576980389968413/5301565673043171\",\"33782717674547803/31809394038259026\",\"-3643061933218587841/254475152306072208\",\"-1570526165912561213/127237576153036104\",\"-269196064516113901/84825050768690736\",\"-1295573081218349/42412525384345368\",\"-9610829940081835/63618788076518052\",\"721373421668917/15904697019129513\",\"64678455845389445/42412525384345368\",\"1588488192536291/84825050768690736\",\"-268803733380881/36353593186581744\",\"-480472872448046921/2035801218448577664\",\"28679320620789691/678600406149525888\",\"222310052267/28275016922896912\",\"-1709857361545/678600406149525888\",\"2397605263109/290828745492653952\",\"-4220591834155/678600406149525888\",\"-2152388026713/904800541532701184\",\"-20057411515459/2714401624598103552\",\"11622396232351/8143204873794310656\",\"637373562407173/7238404332261609472\"],\"prime_valuations\":[[1,1],[8,1],[13,2],[14,1],[79,1],[108,1]]},{\"element\":[\"-27799769890600327/15904697019129513\",\"1981999047449430/1767188557681057\",\"486574868558099557/63618788076518052\",\"4792358005353527/1514733049440906\",\"478789595201067011/127237576153036104\",\"356682476681990749/31809394038259026\",\"2414424629299113149/254475152306072208\",\"2306217402835235/84825050768690736\",\"1854962339066247595/508950304612144416\",\"984194122719866651/254475152306072208\",\"568141279291191101/1017900609224288832\",\"-62872349545451275/339300203074762944\",\"-27648804317465855/169650101537381472\",\"582498656951687365/2035801218448577664\",\"-235733512906971013/452400270766350592\",\"90229626313741129/4071602436897155328\",\"-307175331130659631/8143204873794310656\",\"181510712461568809/2035801218448577664\",\"-11519839167062465/775543321313743872\",\"154393924146925/16286409747588621312\",\"15576862488553/4071602436897155328\",\"-115236149781517/32572819495177242624\",\"-1859881817302231/65145638990354485248\",\"-48356692683437/4653259927882463232\",\"-657981545916599/65145638990354485248\",\"530699883415987/43430425993569656832\",\"-8072033746078853/260582555961417940992\"],\"prime_valuations\":[[12,1],[13,1],[93,1],[108,1]]},{\"element\":[\"-5393578531837645/5301565673043171\",\"1093907782999397/15904697019129513\",\"9340076633082343/3534377115362114\",\"8889185198081611/15904697019129513\",\"13666003165109492/15904697019129513\",\"444955120352582641/63618788076518052\",\"263949564866390845/31809394038259026\",\"94421678090480509/63618788076518052\",\"551436287550914939/127237576153036104\",\"1084591107135871625/254475152306072208\",\"356848969893896279/508950304612144416\",\"6219958863994535/508950304612144416\",\"-120872568945632003/339300203074762944\",\"114327066358378241/508950304612144416\",\"-92016207602155343/169650101537381472\",\"12947145097374043/254475152306072208\",\"-6081474805241149/169650101537381472\",\"50855756384463665/581657490985307904\",\"-6681829203099451/452400270766350592\",\"11595243811633/508950304612144416\",\"103578400491703/16286409747588621312\",\"108212791663103/8143204873794310656\",\"-825487397069/48471457582108992\",\"5894102816717/5428803249196207104\",\"-304960074352147/16286409747588621312\",\"162524322991817/16286409747588621312\",\"-445088896279025/14476808664523218944\"],\"prime_valuations\":[[2,1],[13,2],[56,1],[65,1],[108,1]]},{\"element\":[\"-24742776151855463/5301565673043171\",\"-8965505828568652/15904697019129513\",\"45814053358453409/3534377115362114\",\"-637096461208703/1767188557681057\",\"582003938595046/2272099574161359\",\"182487607833901591/7068754230724228\",\"675411447206201323/31809394038259026\",\"3836606105912129/9088398296645436\",\"4745934508320417719/254475152306072208\",\"1408547812986998017/84825050768690736\",\"1972025356990579685/508950304612144416\",\"21766835838614723/508950304612144416\",\"-208844427795586649/1017900609224288832\",\"30414372288324299/169650101537381472\",\"-350730030983713123/169650101537381472\",\"4090840259882585/127237576153036104\",\"-14481172148391113/508950304612144416\",\"438978679862446499/1357200812299051776\",\"-77404128850877735/1357200812299051776\",\"7593662870827/508950304612144416\",\"144614977168783/16286409747588621312\",\"13693281432017/2714401624598103552\",\"-2445410574937/226200135383175296\",\"18808430976995/5428803249196207104\",\"-26373657894199/2326629963941231616\",\"46426510175705/5428803249196207104\",\"-1719836021093371/14476808664523218944\"],\"prime_valuations\":[[13,3],[59,1],[64,1],[31,1],[108,1]]},{\"element\":[\"1022770868446888/15904697019129513\",\"4484395964829679/1767188557681057\",\"8750866710397628/5301565673043171\",\"-582003938595046/2272099574161359\",\"8368756395652565/7068754230724228\",\"80426793419279659/63618788076518052\",\"80370679220258911/63618788076518052\",\"311759143762767415/254475152306072208\",\"195005963735068343/84825050768690736\",\"452920178461553429/254475152306072208\",\"156944700764124967/508950304612144416\",\"208844427795586649/1017900609224288832\",\"-30414372288324299/169650101537381472\",\"-14251303893401839/339300203074762944\",\"-105719129340900185/508950304612144416\",\"14481172148391113/508950304612144416\",\"6352836673179865/1357200812299051776\",\"17473370117899201/678600406149525888\",\"-1422684764519359/290828745492653952\",\"-144614977168783/16286409747588621312\",\"-13693281432017/2714401624598103552\",\"2445410574937/226200135383175296\",\"-18808430976995/5428803249196207104\",\"26373657894199/2326629963941231616\",\"-46426510175705/5428803249196207104\",\"-23676268293843/7238404332261609472\",\"-220631526670049/21715212996784828416\"],\"prime_valuations\":[[1,1],[13,1],[109,1],[90,1]]},{\"element\":[\"-1661152690924915/5301565673043171\",\"-38128044997690895/31809394038259026\",\"-91021840844285915/15904697019129513\",\"-146091068642726567/31809394038259026\",\"1073199266043391/21206262692172684\",\"238765093413847591/127237576153036104\",\"-889979445691374047/127237576153036104\",\"13499848155205619/63618788076518052\",\"604214047648461139/127237576153036104\",\"467832359691682015/254475152306072208\",\"227474709121891115/254475152306072208\",\"12178505541780819/56550033845793824\",\"176748250136174131/254475152306072208\",\"-1449365286103440217/2035801218448577664\",\"-152583949803341551/1017900609224288832\",\"-31348092300417181/339300203074762944\",\"113262099116394925/1017900609224288832\",\"684244767101657/145414372746326976\",\"-15536535975879287/4071602436897155328\",\"3360469644809/4071602436897155328\",\"-84435589405679/8143204873794310656\",\"-219251784253429/8143204873794310656\",\"55129533588289/1551086642627487744\",\"352639743098207/32572819495177242624\",\"1182166287864503/32572819495177242624\",\"-758272567904735/21715212996784828416\",\"-1039696141456051/130291277980708970496\"],\"prime_valuations\":[[0,2],[22,1],[70,1],[110,1],[90,1]]},{\"element\":[\"70127674235380471/15904697019129513\",\"41766480278724955/15904697019129513\",\"-119757091181201534/15904697019129513\",\"6086007734399205/1767188557681057\",\"43318135570973869/7068754230724228\",\"-272301543933064643/21206262692172684\",\"-188306236043850101/21206262692172684\",\"141370005553689667/31809394038259026\",\"-3241204232170673813/254475152306072208\",\"-25160383796252951/2019644065921208\",\"-49575754048351341/14137508461448456\",\"-2433768805473685/6058932197763624\",\"-188725575212636/757366524720453\",\"-5030325727754615/48471457582108992\",\"6536882313333047/4039288131842416\",\"4581415000963099/169650101537381472\",\"18366714757026493/1017900609224288832\",\"-56226722692594831/226200135383175296\",\"29589438657722341/678600406149525888\",\"5709348862985/452400270766350592\",\"16637696792369/1357200812299051776\",\"7314692483725/1357200812299051776\",\"-35410266481157/1809601083065402368\",\"-39248776953577/1809601083065402368\",\"-75586089424067/5428803249196207104\",\"-18731680476875/2035801218448577664\",\"5916697432317425/65145638990354485248\"],\"prime_valuations\":[[8,1],[13,1],[53,1],[90,1]]},{\"element\":[\"71150445103827359/15904697019129513\",\"82126043962192066/15904697019129513\",\"-93504491050008650/15904697019129513\",\"50700042039427523/15904697019129513\",\"3691920854759031/504911016480302\",\"-368238919189957135/31809394038259026\",\"-121137007227822848/15904697019129513\",\"68700913723442131/12117864395527248\",\"-166011646310341799/15904697019129513\",\"-2717288179866318397/254475152306072208\",\"-1627782444976523309/508950304612144416\",\"-200028731523992431/1017900609224288832\",\"-24229633711984921/56550033845793824\",\"-1030491333076753/7068754230724228\",\"717928042139063737/508950304612144416\",\"14112708575640205/254475152306072208\",\"92525369047645567/4071602436897155328\",\"-37801699489971323/169650101537381472\",\"39404761310765755/1017900609224288832\",\"60921581898677/16286409747588621312\",\"19582112152721/2714401624598103552\",\"21987155933347/1357200812299051776\",\"-62519615210233/2714401624598103552\",\"-10538961707675/1017900609224288832\",\"-4357592842849/193885830328435968\",\"-812500189904587/65145638990354485248\",\"2627401426153639/32572819495177242624\"],\"prime_valuations\":[[0,2],[12,3],[13,1],[82,1],[9,1],[90,1]]},{\"element\":[\"-89623564154213/15904697019129513\",\"-3836395417405433/1514733049440906\",\"-81997589878602803/63618788076518052\",\"9116959969380497/5301565673043171\",\"-41070408908511193/63618788076518052\",\"-139016083695588049/21206262692172684\",\"17999520483215561/15904697019129513\",\"8081979310629555/14137508461448456\",\"-5163204748666141757/508950304612144416\",\"-3616209560027383379/508950304612144416\",\"-386382439518409547/169650101537381472\",\"-551443688448342275/1017900609224288832\",\"-904991702912452423/2035801218448577664\",\"1112374886343022681/2035801218448577664\",\"1780004063120994931/2035801218448577664\",\"8972812646810641/193885830328435968\",\"-108996974011975411/1357200812299051776\",\"-926278939825989571/8143204873794310656\",\"366761895593857499/16286409747588621312\",\"531505203831473/16286409747588621312\",\"83218743160715/4653259927882463232\",\"87292180348769/3619202166130804736\",\"-2133046720330859/65145638990354485248\",\"-1919521471045147/65145638990354485248\",\"-732290788960631/32572819495177242624\",\"3369227800765537/130291277980708970496\",\"436711156843321/9306519855764926464\"],\"prime_valuations\":[[12,1],[23,1],[99,1],[111,1]]},{\"element\":[\"-37576814544213412/15904697019129513\",\"9699766143432308/5301565673043171\",\"-94852840574284330/15904697019129513\",\"-459100259417759863/63618788076518052\",\"-79764843576577295/21206262692172684\",\"-12064074582953647/7068754230724228\",\"-217702649232462377/28275016922896912\",\"-14448620675508571/15904697019129513\",\"480259249440933481/508950304612144416\",\"-929991402885337/72707186373163488\",\"48577873444280797/339300203074762944\",\"5009008678274183/36353593186581744\",\"7712427950003163/16157152527369664\",\"-36617947233408215/96942915164217984\",\"856756113151415/12117864395527248\",\"-15419299753211743/226200135383175296\",\"516345989585714735/8143204873794310656\",\"-181328533950774653/8143204873794310656\",\"38091027110135383/16286409747588621312\",\"5620003613387/8143204873794310656\",\"188806831264039/32572819495177242624\",\"-107352292868495/32572819495177242624\",\"311243780846135/16286409747588621312\",\"144053062420625/16286409747588621312\",\"3511273148479567/130291277980708970496\",\"-19129695347915/1017900609224288832\",\"160774543965751/32572819495177242624\"],\"prime_valuations\":[[1,1],[12,1],[13,2],[50,1],[111,1],[29,1]]},{\"element\":[\"59861136987786482/15904697019129513\",\"-202363270336018037/15904697019129513\",\"-225604069455859516/15904697019129513\",\"-495271275127867187/63618788076518052\",\"-617748735856352857/21206262692172684\",\"-646986770812009333/14137508461448456\",\"-5098220068708569997/254475152306072208\",\"-569605250700413267/31809394038259026\",\"-5641007622542934071/169650101537381472\",\"-1292284187440464037/72707186373163488\",\"-3989113659733444885/1017900609224288832\",\"30830912720765141/72707186373163488\",\"-15306662991072611/48471457582108992\",\"197685420542415737/96942915164217984\",\"85182196885440031/48471457582108992\",\"37458132783777175/1017900609224288832\",\"-2543746393110286187/8143204873794310656\",\"-1863766880387721599/8143204873794310656\",\"824496408729661873/16286409747588621312\",\"53511544321987/8143204873794310656\",\"-338053420100197/32572819495177242624\",\"109874354201951/2035801218448577664\",\"-420527602774939/32572819495177242624\",\"740371216983401/32572819495177242624\",\"-416842663688443/43430425993569656832\",\"14917918243911353/130291277980708970496\",\"6879147706729913/65145638990354485248\"],\"prime_valuations\":[[1,2],[2,1],[59,1],[45,1],[60,1],[111,1]]},{\"element\":[\"-26007441620982985/5301565673043171\",\"-126711940897516225/31809394038259026\",\"-28436157348345275/10603131346086342\",\"-670351311355278365/63618788076518052\",\"-278457423292784893/21206262692172684\",\"-915572210404694543/127237576153036104\",\"-692193268105682411/84825050768690736\",\"-1375201416072598883/127237576153036104\",\"-510359634499798861/84825050768690736\",\"-100728626105316685/72707186373163488\",\"-15664839258980171/254475152306072208\",\"21854822806377281/145414372746326976\",\"193018267296083291/290828745492653952\",\"148553200456741913/290828745492653952\",\"3999715732371401/145414372746326976\",\"-407637731957775433/4071602436897155328\",\"-55209996995462145/904800541532701184\",\"2124500060779961/339300203074762944\",\"11598815738587255/8143204873794310656\",\"-140930022331955/16286409747588621312\",\"11916271847285/16286409747588621312\",\"51037051172893/16286409747588621312\",\"7735955405851/7238404332261609472\",\"588213106104103/65145638990354485248\",\"5063553888122935/130291277980708970496\",\"1931217212522915/65145638990354485248\",\"773196392121785/260582555961417940992\"],\"prime_valuations\":[[2,1],[8,2],[53,1],[112,1]]},{\"element\":[\"-29765393626940848/15904697019129513\",\"-17809169036301329/10603131346086342\",\"507680422647283213/63618788076518052\",\"15713570704897895/4544199148322718\",\"-69471471035226175/31809394038259026\",\"78064786113557633/7068754230724228\",\"627268365277076503/42412525384345368\",\"121205598358724011/127237576153036104\",\"3334564710963915577/508950304612144416\",\"1725096595940080159/254475152306072208\",\"813177645935165915/508950304612144416\",\"-37727690332130711/113100067691587648\",\"-904561888642494083/2035801218448577664\",\"389851446909473551/1017900609224288832\",\"-1713927894520982569/2035801218448577664\",\"231439085449432069/4071602436897155328\",\"-274411235274580879/4071602436897155328\",\"400673326632998431/2714401624598103552\",\"-57236560730380945/2326629963941231616\",\"274472057428531/16286409747588621312\",\"526137022069961/32572819495177242624\",\"202989651931139/16286409747588621312\",\"-446116673876609/65145638990354485248\",\"-53507025693473/3102173285254975488\",\"-394514221832005/16286409747588621312\",\"900984469400707/43430425993569656832\",\"-34754023854467/678600406149525888\"],\"prime_valuations\":[[7,1],[14,1],[112,1],[55,1],[34,1]]},{\"element\":[\"2142837486824466/1767188557681057\",\"-93776009153218463/15904697019129513\",\"60957156651680663/15904697019129513\",\"57731558831002319/31809394038259026\",\"-461964191041706453/63618788076518052\",\"-553009160931185275/63618788076518052\",\"-502170171412530023/254475152306072208\",\"-2780714881360770163/254475152306072208\",\"-5305046063850455303/508950304612144416\",\"-1406355371955809425/508950304612144416\",\"-747082740587805071/1017900609224288832\",\"33259567402708249/84825050768690736\",\"9250415795297735/254475152306072208\",\"2394814289237073185/2035801218448577664\",\"1950099600632117/254475152306072208\",\"-2148622610504933/4071602436897155328\",\"-1371983680239539279/8143204873794310656\",\"7886962731295117/387771660656871936\",\"29310103295846717/16286409747588621312\",\"190602327690461/8143204873794310656\",\"-1379244135773095/32572819495177242624\",\"-70869428638535/32572819495177242624\",\"-73578746908583/2326629963941231616\",\"251799719307191/16286409747588621312\",\"383611965305711/130291277980708970496\",\"4118165504094881/65145638990354485248\",\"243012135671759/65145638990354485248\"],\"prime_valuations\":[[1,1],[0,1],[22,1],[51,1],[112,1]]},{\"element\":[\"-64372618356408136/15904697019129513\",\"-21931973939747327/5301565673043171\",\"-1036736195716349/21206262692172684\",\"-116364234469980050/15904697019129513\",\"-565853498973611869/63618788076518052\",\"-149507957852573207/63618788076518052\",\"-483567024230525773/127237576153036104\",\"-52953857565703795/7068754230724228\",\"-9849801678229421/42412525384345368\",\"1279533204280815923/508950304612144416\",\"308438904628155845/339300203074762944\",\"53428527064112075/127237576153036104\",\"72627524164880521/169650101537381472\",\"611811787933760369/2035801218448577664\",\"-99007958676591175/226200135383175296\",\"-58601229061336735/1017900609224288832\",\"-38275325219801287/1017900609224288832\",\"9941009881883675/145414372746326976\",\"-21613137693288775/2035801218448577664\",\"-26418430676675/4071602436897155328\",\"-7314367734785/452400270766350592\",\"2915200708543/3619202166130804736\",\"8578571714155/1163314981970615808\",\"357730560842435/16286409747588621312\",\"17194672522631/678600406149525888\",\"301571640645211/16286409747588621312\",\"-5763285935844043/260582555961417940992\"],\"prime_valuations\":[[13,1],[53,2],[18,1],[113,1]]},{\"element\":[\"-39348151956573914/5301565673043171\",\"-66877357362660161/31809394038259026\",\"198888379105655755/63618788076518052\",\"-214273770366222313/15904697019129513\",\"-1168505369096784233/127237576153036104\",\"626452518877916519/63618788076518052\",\"26272476649447075/28275016922896912\",\"-1664615047561089251/254475152306072208\",\"25829428268893274/1767188557681057\",\"7138923229218741041/508950304612144416\",\"1925981978599985263/508950304612144416\",\"173996304025953355/169650101537381472\",\"1249925155862352545/2035801218448577664\",\"-162087625676300755/1017900609224288832\",\"-2445719260612740289/1357200812299051776\",\"-51132043366778399/678600406149525888\",\"271745143829501101/8143204873794310656\",\"298407263639743819/1163314981970615808\",\"-188532815397360173/4071602436897155328\",\"-3376236980233/254475152306072208\",\"-1029982098693755/32572819495177242624\",\"148197704527165/16286409747588621312\",\"14239913322827/581657490985307904\",\"3570824503769603/65145638990354485248\",\"2464298289969167/65145638990354485248\",\"-122876214546199/21715212996784828416\",\"-12564728476836685/130291277980708970496\"],\"prime_valuations\":[[0,1],[7,1],[64,1],[30,1],[110,1],[113,1]]},{\"element\":[\"-24892350594970000/15904697019129513\",\"-54326066501917583/15904697019129513\",\"-5024755909246753/63618788076518052\",\"-173952962909933461/63618788076518052\",\"-196843506056320483/18176796593290872\",\"-123120464479045531/31809394038259026\",\"11015976134801161/63618788076518052\",\"-313260630470813015/36353593186581744\",\"-226704954378201605/31809394038259026\",\"-697999048101793603/508950304612144416\",\"-157575231994068113/508950304612144416\",\"-118597652932396685/1017900609224288832\",\"127780442927309339/1017900609224288832\",\"236164614460418743/254475152306072208\",\"-11328678833286833/452400270766350592\",\"-93399206185380493/4071602436897155328\",\"-16935606344602447/127237576153036104\",\"240441516820066315/8143204873794310656\",\"-7551503599033213/8143204873794310656\",\"325193053689527/16286409747588621312\",\"257736028607063/32572819495177242624\",\"22402300892515/8143204873794310656\",\"-1174555595313791/65145638990354485248\",\"-198004863774511/32572819495177242624\",\"138868997682223/18613039711529852928\",\"6622658547078023/130291277980708970496\",\"-493300695276775/260582555961417940992\"],\"prime_valuations\":[[7,1],[36,1],[59,1],[113,1]]},{\"element\":[\"4\",\"0\",\"-31/4\",\"0\",\"0\",\"-27/2\",\"-81/8\",\"0\",\"-159/16\",\"-69/8\",\"-135/64\",\"0\",\"0\",\"0\",\"135/128\",\"0\",\"0\",\"-21/128\",\"15/512\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"1/16384\"],\"prime_valuations\":[[16,1],[114,1]]},{\"element\":[\"2\",\"1\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\"],\"prime_valuations\":[[1,1],[0,4],[16,1],[114,1]]},{\"element\":[\"6\",\"1\",\"-31/4\",\"0\",\"0\",\"-27/2\",\"-81/8\",\"0\",\"-159/16\",\"-69/8\",\"-135/64\",\"0\",\"0\",\"0\",\"135/128\",\"0\",\"0\",\"-21/128\",\"15/512\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"1/16384\"],\"prime_valuations\":[[12,3],[8,1],[16,1],[59,1],[114,1]]},{\"element\":[\"2\",\"0\",\"-29/4\",\"0\",\"0\",\"-27/2\",\"-81/8\",\"0\",\"-159/16\",\"-69/8\",\"-135/64\",\"0\",\"0\",\"0\",\"135/128\",\"0\",\"0\",\"-21/128\",\"15/512\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"1/16384\"],\"prime_valuations\":[[12,1],[16,1],[115,1],[116,1],[114,1]]},{\"element\":[\"58531551793976575/15904697019129513\",\"-20798161310706044/5301565673043171\",\"81747433767748019/31809394038259026\",\"30373217886454628/5301565673043171\",\"-52999792762865224/15904697019129513\",\"-1618335881214452399/127237576153036104\",\"124398337899877973/31809394038259026\",\"-135959647890598375/63618788076518052\",\"-277376380675856201/21206262692172684\",\"-165404271200757005/24235728791054496\",\"-1128410355080012821/508950304612144416\",\"-10218520396662133/72707186373163488\",\"-36604869946808753/36353593186581744\",\"345606789046970503/290828745492653952\",\"33115518528146099/48471457582108992\",\"68113014677335399/508950304612144416\",\"-252990240964785997/1357200812299051776\",\"-35070175592860999/452400270766350592\",\"2145748851082671/113100067691587648\",\"76348016026777/8143204873794310656\",\"7364513321107/4071602436897155328\",\"15487512838219/339300203074762944\",\"-764404031575643/16286409747588621312\",\"-33032567918429/4071602436897155328\",\"-417071239779209/8143204873794310656\",\"7844368794605815/130291277980708970496\",\"1289275483037449/32572819495177242624\"],\"prime_valuations\":[[53,1],[88,1],[117,1],[78,1],[34,1]]},{\"element\":[\"-93685711980483265/15904697019129513\",\"18443612395894865/2272099574161359\",\"441566569837724039/31809394038259026\",\"-148493375068848701/63618788076518052\",\"288548870936905745/31809394038259026\",\"516876843084412289/15904697019129513\",\"745948915346267275/63618788076518052\",\"12006005429284045/31809394038259026\",\"4430616466183653335/254475152306072208\",\"1626663060665365789/127237576153036104\",\"666484145361616109/254475152306072208\",\"-323709585475127585/1017900609224288832\",\"283868680243931105/339300203074762944\",\"-532002342494787589/1017900609224288832\",\"-167110814168911911/113100067691587648\",\"-71185476870447445/581657490985307904\",\"145633049793513983/1357200812299051776\",\"224530059572100235/1017900609224288832\",\"-42891821256701821/1017900609224288832\",\"134807288426065/5428803249196207104\",\"2657024333455/1163314981970615808\",\"-648524309851927/16286409747588621312\",\"-18942895213089/904800541532701184\",\"-16955821407645/904800541532701184\",\"2746241698371943/65145638990354485248\",\"-2110393594305107/65145638990354485248\",\"-181662529889347/2068115523503316992\"],\"prime_valuations\":[[12,5],[7,1],[53,1],[24,1],[78,1]]},{\"element\":[\"3099313807385584/15904697019129513\",\"35422515802975619/15904697019129513\",\"51861604197514403/15904697019129513\",\"3318461456057197/7068754230724228\",\"50832157446476143/31809394038259026\",\"89886818525086607/31809394038259026\",\"3211660553262517/127237576153036104\",\"-675869203492416793/254475152306072208\",\"-1034239231921262317/254475152306072208\",\"-34661032120294730/15904697019129513\",\"-126356496584463755/127237576153036104\",\"-16397478618956999/63618788076518052\",\"202276627374752851/1017900609224288832\",\"320419517443265777/1017900609224288832\",\"13740860639135809/63618788076518052\",\"-142000252780730377/4071602436897155328\",\"-444553422933227/14137508461448456\",\"-6662030146237759/290828745492653952\",\"7132376746029925/1357200812299051776\",\"6455479778077/254475152306072208\",\"-261386913829/339300203074762944\",\"-143347046131489/16286409747588621312\",\"-4113169579703/129257220218957312\",\"-64096006734901/4071602436897155328\",\"220445258278559/21715212996784828416\",\"293362365129329/21715212996784828416\",\"712404366550103/65145638990354485248\"],\"prime_valuations\":[[1,1],[8,1],[64,1],[83,1]]},{\"element\":[\"-760268596196869/2272099574161359\",\"1059257599572171/504911016480302\",\"13437180099418351/3029466098881812\",\"-15561156116084399/9088398296645436\",\"-1911168172633067/1009822032960604\",\"93739711140869233/18176796593290872\",\"14681953544991889/18176796593290872\",\"-65546671257398413/12117864395527248\",\"-17278996466889151/36353593186581744\",\"4835781458475103/3029466098881812\",\"34559637511305341/145414372746326976\",\"-378358939900913/9088398296645436\",\"19332707306585663/48471457582108992\",\"33347998865836561/96942915164217984\",\"-87533663602063483/290828745492653952\",\"-33585849916165507/581657490985307904\",\"-10693700446392359/290828745492653952\",\"2681519997983717/48471457582108992\",\"-3249897138473807/387771660656871936\",\"17596937943593/1163314981970615808\",\"-2187011054273/387771660656871936\",\"-4037589657157/258514440437914624\",\"-29358672939763/1551086642627487744\",\"-17255153830883/4653259927882463232\",\"64549583312647/3102173285254975488\",\"161900628298369/9306519855764926464\",\"-650257786090577/37226079423059705856\"],\"prime_valuations\":[[14,1],[22,1],[109,1],[37,1],[83,1]]},{\"element\":[\"88834216029865592/15904697019129513\",\"-6901060456684232/1767188557681057\",\"-63461831798454227/5301565673043171\",\"18697080919125260/15904697019129513\",\"-36950905181096405/63618788076518052\",\"-425953381190603779/21206262692172684\",\"-903294443899879867/63618788076518052\",\"-41497402366384991/254475152306072208\",\"-2114039912211896435/127237576153036104\",\"-1197990836762225285/84825050768690736\",\"-1772121087860808373/508950304612144416\",\"-239938181744827025/1017900609224288832\",\"14356477344318217/508950304612144416\",\"88921810667016205/1017900609224288832\",\"881860599485573525/508950304612144416\",\"-4950242993173367/508950304612144416\",\"-49164528158198267/4071602436897155328\",\"-133223245700436131/508950304612144416\",\"47998377607002293/1017900609224288832\",\"272665567274575/16286409747588621312\",\"6853851985837/2714401624598103552\",\"-2612729166335/1017900609224288832\",\"-4985434565415/1809601083065402368\",\"-223358589740227/16286409747588621312\",\"2103895714929/1809601083065402368\",\"306065584503395/65145638990354485248\",\"133297013368223/1357200812299051776\"],\"prime_valuations\":[[1,2],[12,1],[8,1],[64,1],[83,1]]},{\"element\":[\"1746800912028344/15904697019129513\",\"-29330565817661918/15904697019129513\",\"-23258280085374428/15904697019129513\",\"-17999527247272727/31809394038259026\",\"-58417069569095809/21206262692172684\",\"-160728825940545473/63618788076518052\",\"-362679800053843435/127237576153036104\",\"-926386146372988097/254475152306072208\",\"-128828518265875063/28275016922896912\",\"-94726910490048563/36353593186581744\",\"-32366087982409003/56550033845793824\",\"-23239504115539423/145414372746326976\",\"902816792552489/3029466098881812\",\"3676882767704363/16157152527369664\",\"18669657550288363/72707186373163488\",\"-93066044505985009/2035801218448577664\",\"-37233405069384401/1357200812299051776\",\"-20282247349680235/678600406149525888\",\"821629859683393/127237576153036104\",\"278880871902887/16286409747588621312\",\"-3189085904603/2714401624598103552\",\"-11934030326461/904800541532701184\",\"-7102130684641/1809601083065402368\",\"-161370812794691/16286409747588621312\",\"165319085121641/10857606498392414208\",\"93564270094145/7238404332261609472\",\"291574059456347/21715212996784828416\"],\"prime_valuations\":[[1,2],[0,2],[88,1],[118,1]]},{\"element\":[\"-12029088861587078/5301565673043171\",\"-3780955614313039/1514733049440906\",\"-117768032263115051/31809394038259026\",\"-434756009720399071/63618788076518052\",\"-196930380820882873/21206262692172684\",\"-971946538955343709/127237576153036104\",\"-287192428200709285/31809394038259026\",\"-226858721889883361/31809394038259026\",\"-65154206587180325/7068754230724228\",\"-976709152152270227/169650101537381472\",\"-647726659158231937/508950304612144416\",\"-386565259514817281/1017900609224288832\",\"698037837853657817/1017900609224288832\",\"274758605833785599/1017900609224288832\",\"691788436729694167/1017900609224288832\",\"-7369152195843683/64628610109478656\",\"-98681898625828457/4071602436897155328\",\"-181601308916887459/2035801218448577664\",\"140829908186213177/8143204873794310656\",\"94599914727659/5428803249196207104\",\"2571664724719/290828745492653952\",\"-57497128883387/10857606498392414208\",\"32724602165027/32572819495177242624\",\"-228948014147747/10857606498392414208\",\"838783158993953/21715212996784828416\",\"518708770626013/32572819495177242624\",\"83806215927895/2326629963941231616\"],\"prime_valuations\":[[0,3],[12,1],[13,1],[32,1],[118,1]]},{\"element\":[\"1615795504083128/5301565673043171\",\"-7252200002819308/15904697019129513\",\"-18123203951775379/15904697019129513\",\"-701984822711083/252455508240151\",\"-69044127549528764/15904697019129513\",\"-150050962467029045/31809394038259026\",\"-88817188663905871/31809394038259026\",\"-548939159270367497/254475152306072208\",\"183160190157291001/254475152306072208\",\"482076204964302829/254475152306072208\",\"326495459408089837/508950304612144416\",\"586623833165925353/1017900609224288832\",\"-41306169842736185/508950304612144416\",\"54525413794726043/508950304612144416\",\"-153224830676190767/508950304612144416\",\"5133928150359781/254475152306072208\",\"-9390485238580561/452400270766350592\",\"77987742139004161/2035801218448577664\",\"-1812735351776209/290828745492653952\",\"-222100946130451/16286409747588621312\",\"-53808104462935/2714401624598103552\",\"55639786581217/4071602436897155328\",\"13414408448309/1357200812299051776\",\"4456353690721/145414372746326976\",\"-2738810945639/1357200812299051776\",\"159768843491407/21715212996784828416\",\"-842229950663015/65145638990354485248\"],\"prime_valuations\":[[1,2],[14,1],[119,1]]},{\"element\":[\"26395094778136823/5301565673043171\",\"-6608810435038640/2272099574161359\",\"-248990378226861895/63618788076518052\",\"15047712777208337/21206262692172684\",\"-306000908380256141/31809394038259026\",\"-127498704346691365/5301565673043171\",\"-1531784322002909383/127237576153036104\",\"-1473651098517964867/127237576153036104\",\"-2177919123074841257/84825050768690736\",\"-1918305697966243165/127237576153036104\",\"-1380607404832408733/339300203074762944\",\"-25860059469544877/339300203074762944\",\"-17186363268532411/339300203074762944\",\"1504452883764847159/1017900609224288832\",\"3129725741037843917/2035801218448577664\",\"-119763064750135/193885830328435968\",\"-848139313228649245/4071602436897155328\",\"-51588446191986019/254475152306072208\",\"348639974069830271/8143204873794310656\",\"562360745678077/16286409747588621312\",\"-15988808268451/1163314981970615808\",\"150078353893177/16286409747588621312\",\"-139156892402557/2714401624598103552\",\"-3822834347855/508950304612144416\",\"-72599495086801/65145638990354485248\",\"1678524215875903/21715212996784828416\",\"3321511893971569/37226079423059705856\"],\"prime_valuations\":[[0,2],[30,1],[120,1],[119,1],[84,1]]},{\"element\":[\"37211559647890366/5301565673043171\",\"-35042009416196824/15904697019129513\",\"-81034371061707265/10603131346086342\",\"71667107110172090/15904697019129513\",\"-74623503456095135/21206262692172684\",\"-75595573783590667/3029466098881812\",\"-13983505936386385/1514733049440906\",\"-525845946503774923/254475152306072208\",\"-402674055017476583/18176796593290872\",\"-674537809454497195/42412525384345368\",\"-38255270121118003/9088398296645436\",\"-270261578811712415/1017900609224288832\",\"-314171549416911689/508950304612144416\",\"889506823353565115/1017900609224288832\",\"1868799447439198019/1017900609224288832\",\"39965237533616629/508950304612144416\",\"-184666454402386763/1357200812299051776\",\"-529688593648514443/2035801218448577664\",\"204799692293090509/4071602436897155328\",\"31497243459215/2326629963941231616\",\"44824910816813/8143204873794310656\",\"52493086788775/2035801218448577664\",\"-57225546290047/1809601083065402368\",\"-242430457238651/16286409747588621312\",\"-518941182908167/16286409747588621312\",\"104538562884893/2326629963941231616\",\"13655874054152591/130291277980708970496\"],\"prime_valuations\":[[1,1],[14,1],[73,1],[119,1]]},{\"element\":[\"1746579572662102/15904697019129513\",\"69361744112977396/15904697019129513\",\"-76028208898738783/31809394038259026\",\"25527962911672969/15904697019129513\",\"44732487911315923/9088398296645436\",\"-139745209560117977/63618788076518052\",\"-5759767703383304/1767188557681057\",\"10543510029227723/4544199148322718\",\"-337591339272227755/84825050768690736\",\"-638900035978686281/127237576153036104\",\"-233836156376588573/169650101537381472\",\"-4815078491959699/14137508461448456\",\"1684355781151123/31809394038259026\",\"-197972638256468291/1017900609224288832\",\"229954186654572913/339300203074762944\",\"-1772537769182065/169650101537381472\",\"33419723826355829/1017900609224288832\",\"-213092034140699183/2035801218448577664\",\"23985079927933483/1357200812299051776\",\"-1404572809559/452400270766350592\",\"7825708746183/452400270766350592\",\"-45188869915877/4071602436897155328\",\"-38701330096991/5428803249196207104\",\"-30639224846725/1809601083065402368\",\"663365233967/775543321313743872\",\"-49085757186101/4071602436897155328\",\"4792643637106135/130291277980708970496\"],\"prime_valuations\":[[1,1],[12,1],[22,1],[64,1],[121,1],[122,1]]},{\"element\":[\"-47885551532399851/15904697019129513\",\"27948349699190861/10603131346086342\",\"135658086156483257/15904697019129513\",\"985557263070823/1767188557681057\",\"117775675685046503/15904697019129513\",\"1444172010901334957/63618788076518052\",\"63443110347905203/5301565673043171\",\"137317208316319315/28275016922896912\",\"1971348250652528291/127237576153036104\",\"5223719091345968057/508950304612144416\",\"1181790670282854179/508950304612144416\",\"-285731067316241329/1017900609224288832\",\"102785091611675569/508950304612144416\",\"-68058594432975257/113100067691587648\",\"-281384905424317781/254475152306072208\",\"-511337446314290/15904697019129513\",\"97782912650916553/1017900609224288832\",\"219992824891301051/1357200812299051776\",\"-64839248460610055/2035801218448577664\",\"124096688830243/16286409747588621312\",\"74646317979577/8143204873794310656\",\"-18893055283777/1357200812299051776\",\"1543908362107/678600406149525888\",\"-122393919902885/8143204873794310656\",\"75450963379733/8143204873794310656\",\"-1480198818377537/43430425993569656832\",\"-1441725028310555/21715212996784828416\"],\"prime_valuations\":[[59,1],[68,2],[79,1],[122,1]]},{\"element\":[\"-15157383630416732/5301565673043171\",\"55540332657416482/15904697019129513\",\"9586809513201196/1767188557681057\",\"-8577734014474111/9088398296645436\",\"68641995832867810/5301565673043171\",\"134787470045757983/7068754230724228\",\"1423551106931212045/254475152306072208\",\"2508651168810741037/254475152306072208\",\"8845760054743168141/508950304612144416\",\"1224740813705460301/127237576153036104\",\"2061183652315296773/1017900609224288832\",\"323762474586790103/1017900609224288832\",\"28369670512681537/339300203074762944\",\"-103712346235280689/84825050768690736\",\"-156675340938642347/169650101537381472\",\"-16359853577223599/2035801218448577664\",\"1525488580587917387/8143204873794310656\",\"860409585361785505/8143204873794310656\",\"-19181271048029665/775543321313743872\",\"-38263968212783/16286409747588621312\",\"-848229617655395/32572819495177242624\",\"-28240143829/16286409747588621312\",\"214720372142639/16286409747588621312\",\"33575837471993/2326629963941231616\",\"241126980568931/43430425993569656832\",\"-4475769503611363/65145638990354485248\",\"-559880808384983/10857606498392414208\"],\"prime_valuations\":[[1,1],[8,1],[14,1],[98,1],[106,1],[122,1],[100,1]]},{\"element\":[\"21182583060981373/5301565673043171\",\"318934891864394795/31809394038259026\",\"48153241753015067/31809394038259026\",\"15709075664315693/4544199148322718\",\"1544017831083233005/127237576153036104\",\"413537126108016709/127237576153036104\",\"193761756357762013/254475152306072208\",\"174824966789881651/42412525384345368\",\"204139984770831217/254475152306072208\",\"-68971561723043801/127237576153036104\",\"-331037889539100605/339300203074762944\",\"369061398300970759/1017900609224288832\",\"-244859037962951897/678600406149525888\",\"-128692213679970343/2035801218448577664\",\"181296599645471699/4071602436897155328\",\"64509493389028249/1017900609224288832\",\"142514742760114037/8143204873794310656\",\"-61476351321136463/2714401624598103552\",\"3690772753110899/1163314981970615808\",\"189100360727995/16286409747588621312\",\"-145592300541721/10857606498392414208\",\"9318833513681/5428803249196207104\",\"-1344509128791629/32572819495177242624\",\"19216442611491/1034057761751658496\",\"-1318597265620417/65145638990354485248\",\"-1319832822698695/130291277980708970496\",\"1724644256920507/260582555961417940992\"],\"prime_valuations\":[[12,2],[8,1],[64,1],[122,1],[33,1]]},{\"element\":[\"-91414478058152705/15904697019129513\",\"65034022372761026/15904697019129513\",\"119853895744144343/31809394038259026\",\"-96710045425731767/31809394038259026\",\"574957597796772979/127237576153036104\",\"73178567131186829/4544199148322718\",\"225078234950338813/36353593186581744\",\"2389717593214604381/254475152306072208\",\"310730695574662807/18176796593290872\",\"570272601799752443/63618788076518052\",\"364050790970447653/145414372746326976\",\"-124549148300169965/508950304612144416\",\"93237486130264409/678600406149525888\",\"-648322164725728117/508950304612144416\",\"-1025364875949119533/1357200812299051776\",\"-53422068981140735/2035801218448577664\",\"497122921297411295/2714401624598103552\",\"757200990906135329/8143204873794310656\",\"-181805823772351451/8143204873794310656\",\"-11453297051623/290828745492653952\",\"711668072437051/32572819495177242624\",\"71537724813413/16286409747588621312\",\"373434290206361/8143204873794310656\",\"-630384580416275/65145638990354485248\",\"522880284927641/65145638990354485248\",\"-1241549831914463/18613039711529852928\",\"-12118154680909037/260582555961417940992\"],\"prime_valuations\":[[0,1],[4,1],[12,1],[8,2],[59,1],[70,1],[116,1],[123,1]]},{\"element\":[\"8657107466062166/1767188557681057\",\"-2875146859758163/1767188557681057\",\"-157708345249412987/63618788076518052\",\"233306078174868877/21206262692172684\",\"758958360350159537/127237576153036104\",\"-1042090792167476953/63618788076518052\",\"-29217669059145745/63618788076518052\",\"657325030321021747/63618788076518052\",\"-7539847906231975595/508950304612144416\",\"-347747320613656757/24235728791054496\",\"-1338748741483995529/339300203074762944\",\"-122166376650328543/145414372746326976\",\"-351796864940364065/290828745492653952\",\"18961928141026019/290828745492653952\",\"1142575733437977569/581657490985307904\",\"100904309402808173/678600406149525888\",\"-62711577230570957/2035801218448577664\",\"-390463361965311667/1357200812299051776\",\"278926531704691391/5428803249196207104\",\"-31763211709871/5428803249196207104\",\"10227256473815/508950304612144416\",\"1494209038525069/32572819495177242624\",\"-123119585532997/8143204873794310656\",\"-2952932266437343/65145638990354485248\",\"-8263417329457721/130291277980708970496\",\"6195113885249/43430425993569656832\",\"1549657372653333/14476808664523218944\"],\"prime_valuations\":[[12,3],[8,1],[13,1],[32,1],[124,1],[123,1]]},{\"element\":[\"25480823972289316/15904697019129513\",\"-171439704674478599/31809394038259026\",\"-188570323197469982/15904697019129513\",\"-43000572082816687/9088398296645436\",\"-568063284092041025/63618788076518052\",\"-3103422388568015335/127237576153036104\",\"-2108985238375662449/127237576153036104\",\"-110014214669163401/84825050768690736\",\"-242795339109943505/14137508461448456\",\"-6794641326674600699/508950304612144416\",\"-830639649787000987/254475152306072208\",\"-29730874105081003/254475152306072208\",\"-12329131603717709/339300203074762944\",\"141213735680405597/1017900609224288832\",\"867940014687382499/508950304612144416\",\"-50300182488585235/4071602436897155328\",\"-43477025970863081/2035801218448577664\",\"-523873368947204795/2035801218448577664\",\"6028542628109491/129257220218957312\",\"129035950731827/8143204873794310656\",\"-20545902944519/8143204873794310656\",\"1100022540800467/32572819495177242624\",\"99930588403901/10857606498392414208\",\"-35341822604885/4653259927882463232\",\"70242751397783/21715212996784828416\",\"555056028664549/65145638990354485248\",\"1583871403376225/16286409747588621312\"],\"prime_valuations\":[[0,2],[14,1],[56,1],[60,1],[125,1],[126,1],[123,1]]},{\"element\":[\"70877692522856699/15904697019129513\",\"4598199618410473/4544199148322718\",\"-271664296679141351/31809394038259026\",\"69520606498430441/15904697019129513\",\"55932219260574737/15904697019129513\",\"-2036559950516263727/127237576153036104\",\"-74883257934132573/7068754230724228\",\"217947580499199685/127237576153036104\",\"-1171792460360075339/84825050768690736\",\"-6070938620995525957/508950304612144416\",\"-136386597493039633/42412525384345368\",\"-621389103608443/10603131346086342\",\"-29234279431264441/127237576153036104\",\"112659457394427329/1017900609224288832\",\"491788736512012619/339300203074762944\",\"3176385868337011/96942915164217984\",\"-33787138067266375/2035801218448577664\",\"-226881291240725855/1017900609224288832\",\"108928424174864509/2714401624598103552\",\"14497174097457/904800541532701184\",\"-2056476780143/387771660656871936\",\"24839962945009/32572819495177242624\",\"-177340847113121/10857606498392414208\",\"-16876346734963/3619202166130804736\",\"-8834298304885/678600406149525888\",\"125139901276147/32572819495177242624\",\"778096640273863/9306519855764926464\"],\"prime_valuations\":[[13,2],[9,1],[46,1],[68,1],[91,1]]},{\"element\":[\"-112523994557759216/15904697019129513\",\"114476669370629/3534377115362114\",\"176795534619668120/15904697019129513\",\"-90193353085330291/15904697019129513\",\"-594277660761419/1767188557681057\",\"524918453048835727/18176796593290872\",\"58763728151242831/4544199148322718\",\"-248868466226630791/254475152306072208\",\"896671552199663129/36353593186581744\",\"212511696686008105/10603131346086342\",\"1301923673369462/252455508240151\",\"158075142178150693/339300203074762944\",\"80670871922805155/127237576153036104\",\"-1157093704093512547/2035801218448577664\",\"-307652419880673683/127237576153036104\",\"-55101740373786397/678600406149525888\",\"379465201296505687/4071602436897155328\",\"721570180201217245/2035801218448577664\",\"-133825004579747729/2035801218448577664\",\"441828020651/2326629963941231616\",\"-88081267855795/4071602436897155328\",\"-75294247898057/4071602436897155328\",\"268060227102197/10857606498392414208\",\"768360538546397/32572819495177242624\",\"560502710560483/16286409747588621312\",\"-44259811956097/1551086642627487744\",\"-8921263561944035/65145638990354485248\"],\"prime_valuations\":[[12,1],[59,1],[30,1],[46,1],[104,1],[25,1],[67,1]]},{\"element\":[\"-117523280841676289/15904697019129513\",\"66893460804366101/15904697019129513\",\"195070865342439094/15904697019129513\",\"-216343071057895927/63618788076518052\",\"20321872253227274/15904697019129513\",\"51535070862336140/2272099574161359\",\"38899352053677623/3029466098881812\",\"132302084407241153/254475152306072208\",\"218553836574631625/18176796593290872\",\"1530228624848621951/169650101537381472\",\"143488340259169313/72707186373163488\",\"-94933010601538625/127237576153036104\",\"44294870392291193/113100067691587648\",\"-461520032845772725/2035801218448577664\",\"-979352605257817849/1017900609224288832\",\"-303812142395865367/4071602436897155328\",\"4135076051481883/84825050768690736\",\"160683428951120165/1017900609224288832\",\"-239524125618212567/8143204873794310656\",\"-30815912425/72707186373163488\",\"70652215495903/2035801218448577664\",\"-150866839153985/32572819495177242624\",\"-144521610202037/16286409747588621312\",\"-307526118049067/8143204873794310656\",\"151925560838483/7238404332261609472\",\"-44582356053919/3102173285254975488\",\"-998501784518309/16286409747588621312\"],\"prime_valuations\":[[12,1],[13,1],[104,1],[76,1],[67,1],[114,1]]},{\"element\":[\"22277511617466571/15904697019129513\",\"30900515554120399/31809394038259026\",\"-390753542277777383/63618788076518052\",\"-124993017085137335/31809394038259026\",\"58453153869389969/31809394038259026\",\"-277540741986669043/127237576153036104\",\"-45283548252525316/5301565673043171\",\"636020277779972315/254475152306072208\",\"679230879325132033/254475152306072208\",\"-6362901258003547/63618788076518052\",\"140569561404931837/1017900609224288832\",\"396963773598401015/1017900609224288832\",\"61788914628906895/169650101537381472\",\"-1442537311490229875/2035801218448577664\",\"229387366025925263/2035801218448577664\",\"-46020074294033825/1017900609224288832\",\"442000888346460623/4071602436897155328\",\"-84474697953206347/2035801218448577664\",\"34673146804232971/8143204873794310656\",\"-3122508483755/16286409747588621312\",\"-73016861020135/4071602436897155328\",\"-64084056188645/8143204873794310656\",\"280760403817553/10857606498392414208\",\"644384984655325/32572819495177242624\",\"662918288624765/32572819495177242624\",\"-149682809281249/4071602436897155328\",\"2313780624576025/260582555961417940992\"],\"prime_valuations\":[[7,1],[13,1],[22,1],[127,1],[30,1],[48,2]]},{\"element\":[\"26941156096022864/15904697019129513\",\"-51159057145024741/15904697019129513\",\"-1715585288395535/3534377115362114\",\"-3394688569589323/2272099574161359\",\"-274794670766877761/63618788076518052\",\"-998772604058878567/127237576153036104\",\"-255211791401199851/127237576153036104\",\"-453814355056211071/84825050768690736\",\"-3290996721506347943/508950304612144416\",\"-292948928634722473/127237576153036104\",\"-714125396199541369/1017900609224288832\",\"166402381244551579/508950304612144416\",\"-40265856943248203/226200135383175296\",\"1423752161644110943/2035801218448577664\",\"95161615964015431/1017900609224288832\",\"126089006503315511/4071602436897155328\",\"-104279481391107991/1017900609224288832\",\"-5541119062494707/904800541532701184\",\"9845849615176691/2326629963941231616\",\"617007890717/452400270766350592\",\"-216223209296491/32572819495177242624\",\"188093628701761/16286409747588621312\",\"-1478308033446673/65145638990354485248\",\"166227262351189/9306519855764926464\",\"-270982395306155/32572819495177242624\",\"530208551441111/14476808664523218944\",\"766274306635127/86860851987139313664\"],\"prime_valuations\":[[1,1],[127,1],[109,1],[128,1]]},{\"element\":[\"-26923449268917770/5301565673043171\",\"16555103774272381/15904697019129513\",\"68244330160798828/15904697019129513\",\"-149098355610660175/31809394038259026\",\"301249084431516439/63618788076518052\",\"218352321555062543/18176796593290872\",\"10662377471447944/2272099574161359\",\"101218210458860717/63618788076518052\",\"562385272335609839/72707186373163488\",\"2828678628010970003/508950304612144416\",\"119517526999535353/145414372746326976\",\"135486586238502949/1017900609224288832\",\"22440900843983145/226200135383175296\",\"-225720332828681953/1017900609224288832\",\"-321470056353301801/508950304612144416\",\"-20533248299384209/1357200812299051776\",\"193249541869690057/4071602436897155328\",\"232351836120028459/2714401624598103552\",\"-271507179890856817/16286409747588621312\",\"14416524378745/2326629963941231616\",\"-336958749919/3619202166130804736\",\"86552557602895/10857606498392414208\",\"-1411126477363469/65145638990354485248\",\"54485762260331/7238404332261609472\",\"37854007668577/5428803249196207104\",\"-305627175307163/18613039711529852928\",\"-9062584869870331/260582555961417940992\"],\"prime_valuations\":[[1,1],[2,1],[4,1],[8,1],[53,1],[127,1]]},{\"element\":[\"-14394388137256451/15904697019129513\",\"-4649454856825501/4544199148322718\",\"-73289410578600301/63618788076518052\",\"-5502874761704657/1767188557681057\",\"-132163643000013547/63618788076518052\",\"-628204512483140921/127237576153036104\",\"-111197224702019609/31809394038259026\",\"-104499105453579421/28275016922896912\",\"-442076998628426425/169650101537381472\",\"-83927143935629891/169650101537381472\",\"-26929584637355711/127237576153036104\",\"239962124648738911/508950304612144416\",\"-24141227439854915/2035801218448577664\",\"219506511388280503/678600406149525888\",\"-148741831218451495/2035801218448577664\",\"6746207501993585/581657490985307904\",\"-180783353932831915/4071602436897155328\",\"60759886357264279/8143204873794310656\",\"1441783030206035/16286409747588621312\",\"-3245237497541/452400270766350592\",\"-42114771637885/4653259927882463232\",\"82641907601585/16286409747588621312\",\"-841173163088905/65145638990354485248\",\"1699508054307235/65145638990354485248\",\"11579580446845/32572819495177242624\",\"359914391004767/21715212996784828416\",\"3561990104789/18613039711529852928\"],\"prime_valuations\":[[13,1],[53,1],[127,1],[48,1],[63,1],[27,1]]},{\"element\":[\"-21592947318635071/5301565673043171\",\"4393145841592541/2272099574161359\",\"145731065066139163/63618788076518052\",\"-647623069749399889/63618788076518052\",\"-559093558057330853/127237576153036104\",\"1122392824688742767/63618788076518052\",\"260373779731617103/127237576153036104\",\"-335778853112311051/42412525384345368\",\"8688725452607316671/508950304612144416\",\"2574343374274788307/169650101537381472\",\"4284946406607098707/1017900609224288832\",\"89888526396165457/113100067691587648\",\"2220857637447167435/2035801218448577664\",\"-510512902357520837/2035801218448577664\",\"-2732592640718263277/1357200812299051776\",\"-19112255164000283/145414372746326976\",\"109032429824877761/2035801218448577664\",\"396081116428873735/1357200812299051776\",\"-95808652260051597/1809601083065402368\",\"-38976259604491/16286409747588621312\",\"-4035321484685/290828745492653952\",\"-1416723069563401/32572819495177242624\",\"91645910039687/4071602436897155328\",\"2859953096578535/65145638990354485248\",\"7393824552214949/130291277980708970496\",\"-425523124687061/43430425993569656832\",\"-228136056358695/2068115523503316992\"],\"prime_valuations\":[[8,1],[129,1],[46,1],[117,1],[35,1]]},{\"element\":[\"-18550357445940113/5301565673043171\",\"-352611901230185/2272099574161359\",\"-1493092667188774/1767188557681057\",\"-318454922704587803/63618788076518052\",\"-231839926366302365/63618788076518052\",\"-134980084360457507/63618788076518052\",\"-44007071350076921/10603131346086342\",\"-458134477229511335/254475152306072208\",\"-985165922221659119/254475152306072208\",\"-1633106736098880199/508950304612144416\",\"-441207246638533345/508950304612144416\",\"-25798652086950667/63618788076518052\",\"344754448533784801/1017900609224288832\",\"-21858252110945381/678600406149525888\",\"477918932360947667/1017900609224288832\",\"-37324462276499401/581657490985307904\",\"16201188791426767/1017900609224288832\",\"-44512794253500011/678600406149525888\",\"93706305388071925/8143204873794310656\",\"10915464190231/4071602436897155328\",\"10124721753737/581657490985307904\",\"210644120173031/32572819495177242624\",\"-3552202488883/2035801218448577664\",\"-339299212477609/16286409747588621312\",\"437202455964373/21715212996784828416\",\"-150857362154683/65145638990354485248\",\"223145650419779/9306519855764926464\"],\"prime_valuations\":[[0,2],[9,1],[129,1],[70,1],[55,1]]},{\"element\":[\"2207523792714848/2272099574161359\",\"-100837931235438805/15904697019129513\",\"-21786049567577791/3029466098881812\",\"-14899042453269320/5301565673043171\",\"-773819312322767761/63618788076518052\",\"-868507503653988607/31809394038259026\",\"-1658181522886982113/127237576153036104\",\"-2432184818869111543/254475152306072208\",\"-356033473769628043/15904697019129513\",\"-6814920509173150417/508950304612144416\",\"-3359273539680748801/1017900609224288832\",\"157166637701184185/1017900609224288832\",\"-48144488461135063/254475152306072208\",\"265647270515654511/226200135383175296\",\"2846527266789075463/2035801218448577664\",\"21329246005896523/1017900609224288832\",\"-101014380583766491/581657490985307904\",\"-130171485100714331/678600406149525888\",\"161573416906512959/4071602436897155328\",\"12756331278645/1809601083065402368\",\"-86833708409317/8143204873794310656\",\"123732313571041/4653259927882463232\",\"-394929912612253/16286409747588621312\",\"4804170983491/678600406149525888\",\"-106269042365023/16286409747588621312\",\"172223596806577/2714401624598103552\",\"7182820724153713/86860851987139313664\"],\"prime_valuations\":[[0,2],[3,1],[7,1],[129,1],[102,1]]},{\"element\":[\"-194242833835504/2272099574161359\",\"-11107265190763400/1767188557681057\",\"-5690762675181355/4544199148322718\",\"-27332006330218984/15904697019129513\",\"-444955120352582641/31809394038259026\",\"-267676085647567042/15904697019129513\",\"-200022918524489609/63618788076518052\",\"-551436287550914939/63618788076518052\",\"-553268086979176837/63618788076518052\",\"-394942293434808515/254475152306072208\",\"-31072521633870055/508950304612144416\",\"120872568945632003/169650101537381472\",\"-114327066358378241/254475152306072208\",\"92016207602155343/84825050768690736\",\"-84944556873111359/1017900609224288832\",\"6081474805241149/84825050768690736\",\"-50855756384463665/290828745492653952\",\"6037739191538133/226200135383175296\",\"1884765421889537/4071602436897155328\",\"-103578400491703/8143204873794310656\",\"-108212791663103/4071602436897155328\",\"825487397069/24235728791054496\",\"-5894102816717/2714401624598103552\",\"304960074352147/8143204873794310656\",\"-162524322991817/8143204873794310656\",\"445088896279025/7238404332261609472\",\"46006429397237/43430425993569656832\"],\"prime_valuations\":[[1,1],[0,4],[8,1],[59,1],[130,1],[131,1]]},{\"element\":[\"-92012858794474/5301565673043171\",\"1093907782999397/15904697019129513\",\"5553632595381700/1767188557681057\",\"8889185198081611/15904697019129513\",\"13666003165109492/15904697019129513\",\"444955120352582641/63618788076518052\",\"263949564866390845/31809394038259026\",\"94421678090480509/63618788076518052\",\"551436287550914939/127237576153036104\",\"1084591107135871625/254475152306072208\",\"356848969893896279/508950304612144416\",\"6219958863994535/508950304612144416\",\"-120872568945632003/339300203074762944\",\"114327066358378241/508950304612144416\",\"-92016207602155343/169650101537381472\",\"12947145097374043/254475152306072208\",\"-6081474805241149/169650101537381472\",\"50855756384463665/581657490985307904\",\"-6681829203099451/452400270766350592\",\"11595243811633/508950304612144416\",\"103578400491703/16286409747588621312\",\"108212791663103/8143204873794310656\",\"-825487397069/48471457582108992\",\"5894102816717/5428803249196207104\",\"-304960074352147/16286409747588621312\",\"162524322991817/16286409747588621312\",\"-445088896279025/14476808664523218944\"],\"prime_valuations\":[[1,1],[8,1],[59,1],[130,1],[131,1]]},{\"element\":[\"-1\",\"0\",\"1/2\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\"],\"prime_valuations\":[[7,2],[13,1],[132,1]]},{\"element\":[\"-3\",\"1\",\"31/4\",\"0\",\"0\",\"27/2\",\"81/8\",\"0\",\"159/16\",\"69/8\",\"135/64\",\"0\",\"0\",\"0\",\"-135/128\",\"0\",\"0\",\"21/128\",\"-15/512\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"-1/16384\"],\"prime_valuations\":[[0,4],[7,2],[13,1],[132,1]]},{\"element\":[\"-4\",\"1\",\"33/4\",\"0\",\"0\",\"27/2\",\"81/8\",\"0\",\"159/16\",\"69/8\",\"135/64\",\"0\",\"0\",\"0\",\"-135/128\",\"0\",\"0\",\"21/128\",\"-15/512\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"-1/16384\"],\"prime_valuations\":[[7,2],[13,1],[16,1],[132,1],[114,1]]},{\"element\":[\"-1055043863327264/15904697019129513\",\"42736064532962099/15904697019129513\",\"47370124128786719/15904697019129513\",\"18051483377887481/10603131346086342\",\"251562916612573799/63618788076518052\",\"300226685832071935/63618788076518052\",\"314071671482815693/127237576153036104\",\"123035650211457115/127237576153036104\",\"-86290536069878255/127237576153036104\",\"-29915527683941989/31809394038259026\",\"-151950424860760465/254475152306072208\",\"-20725719148970501/63618788076518052\",\"10493157261608543/508950304612144416\",\"37084963415511749/1017900609224288832\",\"36237087423204469/254475152306072208\",\"-18288092521734353/2035801218448577664\",\"303643666059751/113100067691587648\",\"-8498565870162415/508950304612144416\",\"1972546171365575/678600406149525888\",\"52937965923943/4071602436897155328\",\"11616227847149/1357200812299051776\",\"-42616284705119/8143204873794310656\",\"-37526962600383/1809601083065402368\",\"-291251215636657/16286409747588621312\",\"1523531983933/10857606498392414208\",\"-10566821486015/10857606498392414208\",\"196581484505881/32572819495177242624\"],\"prime_valuations\":[[1,1],[12,1],[7,2],[13,1],[132,1]]},{\"element\":[\"18443780170509532/15904697019129513\",\"-1634523137181128/5301565673043171\",\"-1509585963088305/1767188557681057\",\"31805221892914907/31809394038259026\",\"-36684751554033121/18176796593290872\",\"-37558216371789739/5301565673043171\",\"-481442085814599647/84825050768690736\",\"-137314945970024117/36353593186581744\",\"-3382928427587230765/508950304612144416\",\"-508722550549252603/127237576153036104\",\"-444836909909777137/508950304612144416\",\"145628685056755433/1017900609224288832\",\"142825495935264943/1017900609224288832\",\"57903963114567887/226200135383175296\",\"180178369066564741/452400270766350592\",\"-24794596261291333/1357200812299051776\",\"-282622331089931111/8143204873794310656\",\"-234782076290149217/4071602436897155328\",\"20883242249105785/1809601083065402368\",\"-166089256681207/16286409747588621312\",\"-107665488466693/5428803249196207104\",\"-186576357106913/32572819495177242624\",\"-286010794477603/65145638990354485248\",\"177644581556689/32572819495177242624\",\"72305153119823/9306519855764926464\",\"620883098756219/43430425993569656832\",\"782372016482605/32572819495177242624\"],\"prime_valuations\":[[1,1],[8,1],[22,1],[133,1]]},{\"element\":[\"9560357568615971/5301565673043171\",\"7251105364775940/1767188557681057\",\"-13744444156807257/7068754230724228\",\"9661526516562287/4544199148322718\",\"107261279433873023/42412525384345368\",\"-44712611893580321/14137508461448456\",\"127306088047726303/127237576153036104\",\"37070922383985109/28275016922896912\",\"-532128988112224771/254475152306072208\",\"-1211635313941333721/508950304612144416\",\"-333184756407403067/508950304612144416\",\"-16735182018627005/169650101537381472\",\"-154235626483496375/508950304612144416\",\"33243986176757123/254475152306072208\",\"1054244086254030569/4071602436897155328\",\"32834315472514979/678600406149525888\",\"-33053185916470775/1357200812299051776\",\"-308604277188130627/8143204873794310656\",\"4230718020855719/581657490985307904\",\"-6433772475821/339300203074762944\",\"288317886069725/10857606498392414208\",\"23793734005199/32572819495177242624\",\"-715575751450843/65145638990354485248\",\"-136957935869/129257220218957312\",\"-788837620959187/43430425993569656832\",\"126479293499057/21715212996784828416\",\"3941350336986695/260582555961417940992\"],\"prime_valuations\":[[12,1],[7,3],[53,1],[95,1],[85,1],[133,1]]},{\"element\":[\"-1265506973120999/2272099574161359\",\"-391180523441203/15904697019129513\",\"7496467489531669/4544199148322718\",\"-182629269670225381/63618788076518052\",\"-753194160028734073/127237576153036104\",\"77645102145873667/15904697019129513\",\"25395529815774197/10603131346086342\",\"-215264493173040915/28275016922896912\",\"87260730604845565/169650101537381472\",\"1859152706099634565/508950304612144416\",\"11964521081237093/14137508461448456\",\"59954669799023411/508950304612144416\",\"747968277056742499/2035801218448577664\",\"1241882751884917379/2035801218448577664\",\"-291476548027291413/452400270766350592\",\"-10571222310833633/226200135383175296\",\"-15489615579403225/193885830328435968\",\"50749280406968337/452400270766350592\",\"-280299037521793979/16286409747588621312\",\"61407708841007/2035801218448577664\",\"386808438427/339300203074762944\",\"-81690346684087/4653259927882463232\",\"-192680079443111/10857606498392414208\",\"133647347629835/21715212996784828416\",\"803382194459615/43430425993569656832\",\"1433973672075559/43430425993569656832\",\"-3112504300959733/86860851987139313664\"],\"prime_valuations\":[[8,2],[133,1],[111,1]]},{\"element\":[\"59001863609048/757366524720453\",\"5770291067751629/31809394038259026\",\"13446351534970195/9088398296645436\",\"-107680750906356181/31809394038259026\",\"-167856853057393987/127237576153036104\",\"306993053283740447/31809394038259026\",\"71725352086377065/84825050768690736\",\"-84365125424736890/15904697019129513\",\"136981192776417013/14137508461448456\",\"4656338031461052431/508950304612144416\",\"1303869806638351625/508950304612144416\",\"743723813647555105/1017900609224288832\",\"421113756026565919/678600406149525888\",\"-34360338471743297/508950304612144416\",\"-5235400751839192883/4071602436897155328\",\"-67195288458779477/1017900609224288832\",\"2323813256286093/129257220218957312\",\"167175439015446409/904800541532701184\",\"-2103934125264661/63618788076518052\",\"171064746453613/16286409747588621312\",\"-324334695445393/10857606498392414208\",\"-27470523938425/775543321313743872\",\"380307448960073/32572819495177242624\",\"270375659388069/7238404332261609472\",\"2034602720935079/65145638990354485248\",\"-18160485972547/16286409747588621312\",\"-1122519103581373/16286409747588621312\"],\"prime_valuations\":[[12,1],[22,1],[30,1],[17,1],[52,1]]},{\"element\":[\"7893098378342473/5301565673043171\",\"-7481865758718137/5301565673043171\",\"-4469087291529669/1767188557681057\",\"74900021045579927/31809394038259026\",\"265921456127038889/42412525384345368\",\"49283755272642833/31809394038259026\",\"1089465347004025109/254475152306072208\",\"1762259399290312255/254475152306072208\",\"104432243397215491/28275016922896912\",\"1045926027629586923/508950304612144416\",\"-2101382489786127/113100067691587648\",\"42187635854656619/113100067691587648\",\"-1500113470046648285/2035801218448577664\",\"-316454294977254275/2035801218448577664\",\"-714732056864495255/4071602436897155328\",\"440337496596096947/4071602436897155328\",\"111107609043105515/8143204873794310656\",\"15329302032029435/1163314981970615808\",\"-4584542527504241/1357200812299051776\",\"50994659436661/2714401624598103552\",\"-63265137226589/3619202166130804736\",\"1096020613355741/32572819495177242624\",\"-52660863425321/4653259927882463232\",\"149462829238337/8143204873794310656\",\"-2405889119401255/65145638990354485248\",\"-1522107189442633/130291277980708970496\",\"-202131666732797/28953617329046437888\"],\"prime_valuations\":[[12,2],[8,1],[68,1],[31,1],[134,1],[52,1]]},{\"element\":[\"67392518129112634/15904697019129513\",\"-23642586575582507/5301565673043171\",\"-768514211313142121/63618788076518052\",\"-43938130667076149/9088398296645436\",\"-837162660634665739/63618788076518052\",\"-3206416029985484101/127237576153036104\",\"-6321463217058307789/254475152306072208\",\"-2835814929395635261/254475152306072208\",\"-2149125652246840963/127237576153036104\",\"-5983550661462473677/508950304612144416\",\"-1923218057520313541/1017900609224288832\",\"153328211096116001/508950304612144416\",\"723612355064999971/678600406149525888\",\"135138632963031415/1017900609224288832\",\"871540386950516641/678600406149525888\",\"-599744912057222885/4071602436897155328\",\"-98787452487080297/8143204873794310656\",\"-397559463289090483/2035801218448577664\",\"4672265849414681/129257220218957312\",\"-99635090810657/8143204873794310656\",\"-240056321470549/8143204873794310656\",\"-1125545479938343/32572819495177242624\",\"848390177456651/21715212996784828416\",\"13636331590859/1034057761751658496\",\"7446442467421555/130291277980708970496\",\"213094041262183/14476808664523218944\",\"9809415630929251/130291277980708970496\"],\"prime_valuations\":[[0,1],[14,1],[9,1],[62,1],[126,1],[52,1]]},{\"element\":[\"13491815556888038/15904697019129513\",\"-46859586808513331/10603131346086342\",\"168491757536745611/63618788076518052\",\"120293649215399773/31809394038259026\",\"-179105873547165941/42412525384345368\",\"-24246660253598116/5301565673043171\",\"909099391198106149/254475152306072208\",\"-1270433625004753121/254475152306072208\",\"-1457067669408360347/169650101537381472\",\"-1663883111920095289/508950304612144416\",\"-1045414041831165493/1017900609224288832\",\"-142824163064939521/1017900609224288832\",\"-57125009073251639/169650101537381472\",\"220599664231030489/226200135383175296\",\"94100586242332951/452400270766350592\",\"181530068624812433/4071602436897155328\",\"-1187767688654388589/8143204873794310656\",\"-3821209392482213/581657490985307904\",\"10054398415648287/1809601083065402368\",\"302962802591257/16286409747588621312\",\"-716594907655/254475152306072208\",\"254589843706411/32572819495177242624\",\"-312510380631349/9306519855764926464\",\"-295638348652973/32572819495177242624\",\"-131761000801891/7238404332261609472\",\"3322413637193681/65145638990354485248\",\"3012299122087597/260582555961417940992\"],\"prime_valuations\":[[0,1],[12,1],[13,1],[14,1],[44,1],[114,1]]},{\"element\":[\"-19893180298067987/15904697019129513\",\"8183399398100363/5301565673043171\",\"22907408224758770/15904697019129513\",\"4290512015973958/5301565673043171\",\"272365698470572537/63618788076518052\",\"1025089010772191815/127237576153036104\",\"311477239929981245/127237576153036104\",\"1231501842608592949/254475152306072208\",\"3493958172994350535/508950304612144416\",\"130921344886641241/42412525384345368\",\"89432099428740247/113100067691587648\",\"-24452909151754715/169650101537381472\",\"25500048241799347/226200135383175296\",\"-1263325090369866887/2035801218448577664\",\"-75297462071056949/339300203074762944\",\"-80062580157888427/4071602436897155328\",\"47040827822499641/508950304612144416\",\"188947661829130123/8143204873794310656\",\"-113760792777489175/16286409747588621312\",\"-3244456400623/1017900609224288832\",\"-29365448034341/32572819495177242624\",\"-77536635036037/16286409747588621312\",\"339941548892987/21715212996784828416\",\"-182503526059697/21715212996784828416\",\"189184646678381/32572819495177242624\",\"-1448346142692293/43430425993569656832\",\"-3800987502352613/260582555961417940992\"],\"prime_valuations\":[[12,2],[66,1],[49,1],[44,1]]},{\"element\":[\"1847799713951327/5301565673043171\",\"18199880834481779/31809394038259026\",\"-2665608104050610/15904697019129513\",\"150736089180981083/31809394038259026\",\"51819796910597533/21206262692172684\",\"-207538762653563273/63618788076518052\",\"27500484860274569/31809394038259026\",\"297740782414310317/127237576153036104\",\"-2922197237739098665/508950304612144416\",\"-172983564286001395/31809394038259026\",\"-1482814764128753869/1017900609224288832\",\"-543681228508929305/1017900609224288832\",\"-170655513790229539/678600406149525888\",\"14934351760030249/169650101537381472\",\"732980979565108649/1017900609224288832\",\"104017717018246873/4071602436897155328\",\"-65674265766463495/4071602436897155328\",\"-809148095964923581/8143204873794310656\",\"98011274729310091/5428803249196207104\",\"-48788793926213/16286409747588621312\",\"61641048902971/3619202166130804736\",\"16877159113751/5428803249196207104\",\"-221579258742119/21715212996784828416\",\"-1836280547489741/65145638990354485248\",\"-3289816957961/226200135383175296\",\"444811468923089/130291277980708970496\",\"3263309630733625/86860851987139313664\"],\"prime_valuations\":[[12,2],[7,1],[13,1],[9,1],[46,1],[44,1]]},{\"element\":[\"-484936234029952/1767188557681057\",\"-1808209356213263/10603131346086342\",\"19957885626277075/7068754230724228\",\"167132570150341703/63618788076518052\",\"453272718528201671/63618788076518052\",\"654901015742974367/63618788076518052\",\"1283607974337979415/254475152306072208\",\"1736415978136919071/254475152306072208\",\"710104150466971733/56550033845793824\",\"1915143659463847009/254475152306072208\",\"1013925243909083749/508950304612144416\",\"42454895212680807/113100067691587648\",\"-120092909858861075/1017900609224288832\",\"-1579071893860837415/2035801218448577664\",\"-536555129445366763/678600406149525888\",\"53392129068557351/2035801218448577664\",\"288125714347901375/2714401624598103552\",\"266079219382372301/2714401624598103552\",\"-341663783749684405/16286409747588621312\",\"-39202838745001/5428803249196207104\",\"-95018417611315/3619202166130804736\",\"-100551702254225/32572819495177242624\",\"144228086238433/5428803249196207104\",\"16150640477227/904800541532701184\",\"-856909206319559/130291277980708970496\",\"-5298515297442629/130291277980708970496\",\"-11392364534898001/260582555961417940992\"],\"prime_valuations\":[[12,2],[7,1],[13,1],[14,1],[53,1],[9,1],[46,1],[44,1]]},{\"element\":[\"-63790248551529364/15904697019129513\",\"27948349699190861/10603131346086342\",\"287220869332096027/31809394038259026\",\"985557263070823/1767188557681057\",\"117775675685046503/15904697019129513\",\"1444172010901334957/63618788076518052\",\"63443110347905203/5301565673043171\",\"137317208316319315/28275016922896912\",\"1971348250652528291/127237576153036104\",\"5223719091345968057/508950304612144416\",\"1181790670282854179/508950304612144416\",\"-285731067316241329/1017900609224288832\",\"102785091611675569/508950304612144416\",\"-68058594432975257/113100067691587648\",\"-281384905424317781/254475152306072208\",\"-511337446314290/15904697019129513\",\"97782912650916553/1017900609224288832\",\"219992824891301051/1357200812299051776\",\"-64839248460610055/2035801218448577664\",\"124096688830243/16286409747588621312\",\"74646317979577/8143204873794310656\",\"-18893055283777/1357200812299051776\",\"1543908362107/678600406149525888\",\"-122393919902885/8143204873794310656\",\"75450963379733/8143204873794310656\",\"-1480198818377537/43430425993569656832\",\"-1441725028310555/21715212996784828416\"],\"prime_valuations\":[[12,1],[39,1],[135,1]]},{\"element\":[\"-2627759839783049/5301565673043171\",\"64072759490644507/31809394038259026\",\"25284085985531173/15904697019129513\",\"-58421274980810137/9088398296645436\",\"-183431804647134907/63618788076518052\",\"-2653901197653763/1767188557681057\",\"-208301688061444025/21206262692172684\",\"-2280238744484941349/254475152306072208\",\"-1872474913954275097/508950304612144416\",\"-11237649219740889/28275016922896912\",\"-306494152306475141/1017900609224288832\",\"192360095910772681/339300203074762944\",\"1617866087721821621/2035801218448577664\",\"255715635513998993/1017900609224288832\",\"-118710426473577031/1017900609224288832\",\"-6801586415414233/63618788076518052\",\"-42904365605734169/4071602436897155328\",\"30749719738274113/2714401624598103552\",\"-772002732076711/775543321313743872\",\"142871309715821/16286409747588621312\",\"-1294948951002257/32572819495177242624\",\"-137282401280581/8143204873794310656\",\"-1320779046776107/65145638990354485248\",\"81790782073189/3102173285254975488\",\"2897255839463431/65145638990354485248\",\"515006255764523/43430425993569656832\",\"-60257914970189/28953617329046437888\"],\"prime_valuations\":[[0,1],[12,3],[14,1],[68,1],[25,1],[97,1],[135,1]]},{\"element\":[\"-6017017690924972/5301565673043171\",\"-39381265784107375/15904697019129513\",\"-49231968648485978/15904697019129513\",\"-92836431775638343/9088398296645436\",\"-718627129795181875/63618788076518052\",\"-444222347097028061/42412525384345368\",\"-674608432670958703/42412525384345368\",\"-3571286199034643717/254475152306072208\",\"-3078048017098017181/508950304612144416\",\"-19134934407847967/84825050768690736\",\"202158123625419469/1017900609224288832\",\"381249798595942033/339300203074762944\",\"1917487769855241893/2035801218448577664\",\"966845488836970795/2035801218448577664\",\"-261227530479448777/1017900609224288832\",\"-121465330189642381/1017900609224288832\",\"-198263681355881135/4071602436897155328\",\"27294994436295743/904800541532701184\",\"-2332205081104111/775543321313743872\",\"26642356273319/16286409747588621312\",\"-2017015765558781/32572819495177242624\",\"-12801901572941/1017900609224288832\",\"-16389880911949/65145638990354485248\",\"171646784387863/3102173285254975488\",\"3535738634540113/65145638990354485248\",\"1207399200883331/43430425993569656832\",\"-541444486216303/86860851987139313664\"],\"prime_valuations\":[[1,1],[3,1],[64,1],[30,1],[39,1],[135,1]]},{\"element\":[\"-34324715253361961/15904697019129513\",\"334759755223088227/31809394038259026\",\"767548539638476039/63618788076518052\",\"91849860556955635/15904697019129513\",\"1209082236324400387/63618788076518052\",\"4455012104633436047/127237576153036104\",\"2230258250917868459/127237576153036104\",\"1036201756936197743/84825050768690736\",\"715610419837281149/31809394038259026\",\"6307116039727329193/508950304612144416\",\"860640360531247357/339300203074762944\",\"-677667846769881553/1017900609224288832\",\"81813660672760313/508950304612144416\",\"-8571042524581683/7068754230724228\",\"-2461619164732858547/2035801218448577664\",\"-52519952838184297/2035801218448577664\",\"769818274647898795/4071602436897155328\",\"19096465329380003/113100067691587648\",\"-147007785767521559/4071602436897155328\",\"135687866668801/16286409747588621312\",\"54175827509647/2035801218448577664\",\"-1083080918747167/32572819495177242624\",\"-103023695893081/32572819495177242624\",\"-1127598646582241/32572819495177242624\",\"55347440751199/16286409747588621312\",\"-757160620805557/10857606498392414208\",\"-2179459950567595/28953617329046437888\"],\"prime_valuations\":[[7,1],[13,1],[115,1],[124,1],[99,1]]},{\"element\":[\"-26895006575944492/15904697019129513\",\"22376631837721253/5301565673043171\",\"38596276616011913/15904697019129513\",\"-14236219488806507/15904697019129513\",\"125451950470875929/21206262692172684\",\"80303034574323433/6058932197763624\",\"14150144017726663/3029466098881812\",\"1263237945912423697/254475152306072208\",\"444901211960606767/36353593186581744\",\"3505319910303628469/508950304612144416\",\"11018419880461003/6058932197763624\",\"-35972081379338053/1017900609224288832\",\"55515392567988421/254475152306072208\",\"-1574458917817097479/2035801218448577664\",\"-705017752282315523/1017900609224288832\",\"-55796662407090121/2035801218448577664\",\"78170550437898125/678600406149525888\",\"365474281759981649/4071602436897155328\",\"-79531647077600525/4071602436897155328\",\"-32792863559357/2326629963941231616\",\"17675337145759/2035801218448577664\",\"-58742371535249/4071602436897155328\",\"231248855079899/10857606498392414208\",\"-9817392743813/32572819495177242624\",\"165107096276737/16286409747588621312\",\"-763873974294313/18613039711529852928\",\"-5305745717804603/130291277980708970496\"],\"prime_valuations\":[[1,1],[0,3],[8,1],[14,1],[128,1],[99,1]]},{\"element\":[\"-113413002238682/252455508240151\",\"143278343623399837/31809394038259026\",\"-513542024978011/3029466098881812\",\"223643416187348785/63618788076518052\",\"123482640113856987/14137508461448456\",\"-62230093274603323/31809394038259026\",\"581903791257977773/254475152306072208\",\"1194133653477890155/254475152306072208\",\"-283726509917783129/127237576153036104\",\"-98394475507782175/31809394038259026\",\"-681365796884228959/508950304612144416\",\"38082317586631963/1017900609224288832\",\"-136631906910274073/226200135383175296\",\"46489837575153055/678600406149525888\",\"1546157951605357961/4071602436897155328\",\"369355734930974815/4071602436897155328\",\"-1570323543827003/129257220218957312\",\"-518952662137727695/8143204873794310656\",\"30610541081392715/2714401624598103552\",\"-69118897236223/16286409747588621312\",\"311128316870873/32572819495177242624\",\"65093906774105/4653259927882463232\",\"-4050395574061/127237576153036104\",\"246340195573655/65145638990354485248\",\"-1076728955980177/32572819495177242624\",\"-22460385531215/16286409747588621312\",\"1018478798146273/43430425993569656832\"],\"prime_valuations\":[[7,1],[14,2],[45,2],[23,1],[136,1]]},{\"element\":[\"-12377399255641174/15904697019129513\",\"-32585594101732997/15904697019129513\",\"-13776880600332581/10603131346086342\",\"-43893474675473944/5301565673043171\",\"-420675042343014257/31809394038259026\",\"-36751659102611276/5301565673043171\",\"-779931838548347693/84825050768690736\",\"-3695869361828583413/254475152306072208\",\"-107051230955576195/10603131346086342\",\"-109589045637592117/36353593186581744\",\"-168914318302108303/254475152306072208\",\"1700422955872881/16157152527369664\",\"82525690152140119/96942915164217984\",\"258536782193664959/290828745492653952\",\"4360412354131909/36353593186581744\",\"-128080750932950141/1017900609224288832\",\"-294180049470163855/2714401624598103552\",\"185427890199327/113100067691587648\",\"7907811943448927/2035801218448577664\",\"267880757357483/16286409747588621312\",\"-158604096185149/16286409747588621312\",\"-417405799935743/32572819495177242624\",\"-1255625779938311/65145638990354485248\",\"88893970455415/21715212996784828416\",\"6194162433587305/130291277980708970496\",\"794905002338045/16286409747588621312\",\"2114646736155893/260582555961417940992\"],\"prime_valuations\":[[1,1],[2,1],[16,1],[30,1],[45,1],[136,1]]},{\"element\":[\"8684779386428897/5301565673043171\",\"8124744521387513/15904697019129513\",\"-2726758570264930/15904697019129513\",\"8798594980055315/2272099574161359\",\"43997569708711762/15904697019129513\",\"53779475309386717/31809394038259026\",\"162561990972067913/63618788076518052\",\"193844706983954821/63618788076518052\",\"192864054049614443/63618788076518052\",\"671187135095182141/508950304612144416\",\"82833913335724127/169650101537381472\",\"-1159691074582345/63618788076518052\",\"-10117665105750019/56550033845793824\",\"-400538107368066539/2035801218448577664\",\"-14243497791558381/113100067691587648\",\"31112739055558141/1017900609224288832\",\"3318101743795799/169650101537381472\",\"2054233030328891/127237576153036104\",\"-4292893976081471/1163314981970615808\",\"-12482854545095/2035801218448577664\",\"2652703205993/678600406149525888\",\"-67263141995429/10857606498392414208\",\"198592394332243/16286409747588621312\",\"-320826304303/1163314981970615808\",\"-61971290756981/5428803249196207104\",\"-16857577425579/1809601083065402368\",\"-124925423393509/16286409747588621312\"],\"prime_valuations\":[[12,3],[8,1],[121,1]]},{\"element\":[\"2145054486434485/2272099574161359\",\"-9864818401151141/4544199148322718\",\"-38867099354940859/9088398296645436\",\"-2646606567879743/2272099574161359\",\"-11679262197890309/3029466098881812\",\"-174041743662135047/18176796593290872\",\"-116787224138735375/18176796593290872\",\"-55336743766457551/18176796593290872\",\"-134970195063473059/18176796593290872\",\"-4530929860724847/1009822032960604\",\"-168909728588861401/145414372746326976\",\"1821105783238747/9088398296645436\",\"135110131338237/8078576263684832\",\"29615235362553223/96942915164217984\",\"137470610624300195/290828745492653952\",\"-777752998127525/290828745492653952\",\"-12466725850761043/290828745492653952\",\"-6767478611857951/96942915164217984\",\"1791584469113219/129257220218957312\",\"15969535739933/1163314981970615808\",\"-2084724204679/129257220218957312\",\"471300407611/64628610109478656\",\"-10756150091155/1551086642627487744\",\"40499946295585/4653259927882463232\",\"164926697033/64628610109478656\",\"76297689901495/4653259927882463232\",\"1075912982808365/37226079423059705856\"],\"prime_valuations\":[[12,2],[7,1],[8,1],[13,1],[14,1],[66,1],[121,1]]},{\"element\":[\"41069719564328086/15904697019129513\",\"-52804239765282961/31809394038259026\",\"-282976729765645733/63618788076518052\",\"683554268019508/252455508240151\",\"-69274227320849441/63618788076518052\",\"-1003174304397398461/127237576153036104\",\"-492386587027011799/127237576153036104\",\"332207602706785/127237576153036104\",\"-186354419115027509/42412525384345368\",\"-1612401514710140747/508950304612144416\",\"-685364620107685045/1017900609224288832\",\"965670784007407/5301565673043171\",\"-1146486773297795/7068754230724228\",\"27672729405693893/254475152306072208\",\"705911314122050507/2035801218448577664\",\"6309023013802623/226200135383175296\",\"-47449860029777713/2035801218448577664\",\"-109249322363754715/2035801218448577664\",\"2957841561484375/290828745492653952\",\"20618443999717/2714401624598103552\",\"-33168395474287/2714401624598103552\",\"11915326483219/10857606498392414208\",\"171305636750231/32572819495177242624\",\"13072213692791/1551086642627487744\",\"-48117448206209/5428803249196207104\",\"230647435650043/32572819495177242624\",\"5532584105362411/260582555961417940992\"],\"prime_valuations\":[[12,2],[8,1],[109,1],[120,1],[121,1]]},{\"element\":[\"4378375079551427/5301565673043171\",\"4875699153324320/15904697019129513\",\"9916056927492601/31809394038259026\",\"26147582387603371/31809394038259026\",\"16655400191069057/10603131346086342\",\"5735859465804701/4544199148322718\",\"28848348801903659/18176796593290872\",\"307313501305110341/127237576153036104\",\"13677113647325489/6058932197763624\",\"4378504061849719/5301565673043171\",\"4798217538484145/18176796593290872\",\"-721373421668917/15904697019129513\",\"-20143368094615085/169650101537381472\",\"-7870404278548723/42412525384345368\",\"-6242118377779589/127237576153036104\",\"35141355912420557/2035801218448577664\",\"3860071049525567/169650101537381472\",\"468146205296839/113100067691587648\",\"-1062428134432925/678600406149525888\",\"-2397605263109/290828745492653952\",\"4220591834155/678600406149525888\",\"2152388026713/904800541532701184\",\"20057411515459/2714401624598103552\",\"-11622396232351/8143204873794310656\",\"-72466064770231/10857606498392414208\",\"-4992000128593/517028880875829248\",\"-11823755464383/3619202166130804736\"],\"prime_valuations\":[[0,2],[134,1]]},{\"element\":[\"-1118682507756200/5301565673043171\",\"-19284609802226959/10603131346086342\",\"2994633275026955/31809394038259026\",\"89067442714408633/31809394038259026\",\"-169710603678853877/63618788076518052\",\"350679290238701327/127237576153036104\",\"284121840699036041/63618788076518052\",\"2534070962059027/63618788076518052\",\"2036776626589300987/508950304612144416\",\"303921610322781403/84825050768690736\",\"1345804966978358471/1017900609224288832\",\"-20776856042203075/1017900609224288832\",\"-49562739081045553/678600406149525888\",\"20568564896806609/508950304612144416\",\"-480518916457019507/1017900609224288832\",\"71514032975169875/4071602436897155328\",\"-19923678676262873/1017900609224288832\",\"90743506555098457/1163314981970615808\",\"-218709584817063559/16286409747588621312\",\"18542657220991/5428803249196207104\",\"273434891712389/32572819495177242624\",\"-434292327930625/32572819495177242624\",\"203722322213363/9306519855764926464\",\"2714739761665/65145638990354485248\",\"-26562384594691/4071602436897155328\",\"99525974043625/16286409747588621312\",\"-7275965796377137/260582555961417940992\"],\"prime_valuations\":[[13,2],[82,1],[65,1],[24,1],[38,1],[134,1]]},{\"element\":[\"114874996921440328/15904697019129513\",\"-196933195314891491/31809394038259026\",\"-288730270776476993/31809394038259026\",\"99212276557996769/10603131346086342\",\"-314382842052422347/42412525384345368\",\"-544301589776417108/15904697019129513\",\"-2615509649659026175/254475152306072208\",\"-369206952816977647/127237576153036104\",\"-8079225006338844649/254475152306072208\",\"-1651993014646545085/72707186373163488\",\"-5799400928636214763/1017900609224288832\",\"-112916886366544247/145414372746326976\",\"-251647667109479461/290828745492653952\",\"185325355473444523/145414372746326976\",\"171752478396327479/64628610109478656\",\"104738011174156315/1017900609224288832\",\"-185544723090372439/904800541532701184\",\"-2974601943588428221/8143204873794310656\",\"64285350623111095/904800541532701184\",\"252650858536345/16286409747588621312\",\"206098209136453/10857606498392414208\",\"248445892271149/8143204873794310656\",\"-502197756330281/16286409747588621312\",\"-2763927933742175/65145638990354485248\",\"-995739497047951/21715212996784828416\",\"1478919331694753/21715212996784828416\",\"38578784775574391/260582555961417940992\"],\"prime_valuations\":[[22,1],[59,1],[24,1],[134,1]]},{\"element\":[\"26911602117860675/15904697019129513\",\"85919248460671831/31809394038259026\",\"30407812026602414/15904697019129513\",\"68591881796901973/15904697019129513\",\"60963297014590505/15904697019129513\",\"62148936364050427/18176796593290872\",\"27227899777062919/9088398296645436\",\"98516829473694343/42412525384345368\",\"2368727937706811/1514733049440906\",\"221694718654859717/508950304612144416\",\"2098304971973849/36353593186581744\",\"-6719869203819841/42412525384345368\",\"-6949669397377909/63618788076518052\",\"-9697968959299191/113100067691587648\",\"-30748831766498135/1017900609224288832\",\"11836917964679609/678600406149525888\",\"6463195874311315/678600406149525888\",\"3885760299088625/678600406149525888\",\"-11840411997779297/8143204873794310656\",\"1741572448909/387771660656871936\",\"13785857002811/2714401624598103552\",\"-325764979877359/32572819495177242624\",\"-60902343831715/32572819495177242624\",\"-92329853230813/10857606498392414208\",\"-1811412148685/226200135383175296\",\"-7716124849465/1551086642627487744\",\"-5464066941353/1809601083065402368\"],\"prime_valuations\":[[12,1],[36,1],[137,1],[119,1]]},{\"element\":[\"-2607625226813244/1767188557681057\",\"2410611610480951/2272099574161359\",\"207272647685197135/63618788076518052\",\"-18464563028507749/10603131346086342\",\"-69150151763095511/31809394038259026\",\"129138839299136081/31809394038259026\",\"77814314598212873/63618788076518052\",\"-49160485778144617/14137508461448456\",\"33736020874332796/15904697019129513\",\"46002246763528945/15904697019129513\",\"814518494455770437/1017900609224288832\",\"9657706617006383/127237576153036104\",\"137316743804499935/508950304612144416\",\"17840225462294833/127237576153036104\",\"-857557888951735681/2035801218448577664\",\"-10466438933327363/290828745492653952\",\"-7816960881244367/508950304612144416\",\"69023801675492023/1017900609224288832\",\"-30944084849779499/2714401624598103552\",\"776913078539/2035801218448577664\",\"-59779392205/16157152527369664\",\"-86504439607469/8143204873794310656\",\"-1058348059613/904800541532701184\",\"484279507387/127237576153036104\",\"152695710832067/10857606498392414208\",\"268006423171955/32572819495177242624\",\"-98245092604653/4136231047006633984\"],\"prime_valuations\":[[8,1],[14,1],[41,1],[137,1]]},{\"element\":[\"11299434516546497/2272099574161359\",\"52006463084396881/31809394038259026\",\"-1611029218386128/252455508240151\",\"167407524983849225/21206262692172684\",\"76553474179921258/15904697019129513\",\"-83925473402895471/7068754230724228\",\"-56234033588856317/42412525384345368\",\"968394881323816033/127237576153036104\",\"-148142850121056493/28275016922896912\",\"-890000758603088039/127237576153036104\",\"-42609136734764251/28275016922896912\",\"-226023142714441615/1017900609224288832\",\"-789712570590551179/1017900609224288832\",\"-423541399539673879/2035801218448577664\",\"967517176688235079/1017900609224288832\",\"464766648822165997/4071602436897155328\",\"845711835204701/145414372746326976\",\"-603245122797276247/4071602436897155328\",\"69451769473357991/2714401624598103552\",\"-160712764354865/5428803249196207104\",\"204148344609743/8143204873794310656\",\"50339950481389/4653259927882463232\",\"245001572062867/16286409747588621312\",\"-22051952952931/2714401624598103552\",\"-2859909364392889/65145638990354485248\",\"-144766121195587/14476808664523218944\",\"1736869883056631/32572819495177242624\"],\"prime_valuations\":[[13,1],[70,2],[75,2],[137,1]]},{\"element\":[\"24319873633786805/5301565673043171\",\"49545436066577233/10603131346086342\",\"-39922102812699991/15904697019129513\",\"1583623102150661/504911016480302\",\"420183727549083649/127237576153036104\",\"-1105539332019398935/127237576153036104\",\"-159533230425944995/28275016922896912\",\"-435948129448280639/127237576153036104\",\"-426941000672154959/42412525384345368\",\"-603422271955526399/84825050768690736\",\"-2064812880299115265/1017900609224288832\",\"132690898737422467/1017900609224288832\",\"-78936771997727995/2035801218448577664\",\"1052032478782418809/2035801218448577664\",\"2753253384638136691/4071602436897155328\",\"19208334259892545/1017900609224288832\",\"-570470728906968209/8143204873794310656\",\"-806897896384220381/8143204873794310656\",\"23101703195174191/1163314981970615808\",\"2285959757951/1809601083065402368\",\"81458985936805/32572819495177242624\",\"-344108923651469/16286409747588621312\",\"-1139877054859001/32572819495177242624\",\"73609365737515/9306519855764926464\",\"-40547396261929/7238404332261609472\",\"3263499725811959/130291277980708970496\",\"10771946753889119/260582555961417940992\"],\"prime_valuations\":[[2,1],[12,1],[7,1],[60,1],[23,1],[138,1]]},{\"element\":[\"26183617257441785/15904697019129513\",\"-9329726626242427/3534377115362114\",\"2773034805531519/1767188557681057\",\"-3725047388817995/21206262692172684\",\"-19494781800897361/4544199148322718\",\"-26349415147230179/42412525384345368\",\"8519850967220629/15904697019129513\",\"-116862730238111155/36353593186581744\",\"-776327480459998447/254475152306072208\",\"39642518142684/1767188557681057\",\"-12257961352960027/56550033845793824\",\"15647258254203763/254475152306072208\",\"-25691936928875717/1017900609224288832\",\"298835154868852505/678600406149525888\",\"-24822691016452135/339300203074762944\",\"-7276632575561773/4071602436897155328\",\"-13871343042974663/226200135383175296\",\"21751837618838923/1017900609224288832\",\"-7632853395235367/4071602436897155328\",\"249755080196933/8143204873794310656\",\"-49349001696731/2714401624598103552\",\"167076269448125/16286409747588621312\",\"-477303321011885/32572819495177242624\",\"-4076418196517/32572819495177242624\",\"1992120833663/3102173285254975488\",\"497673772116137/21715212996784828416\",\"-250491634548007/65145638990354485248\"],\"prime_valuations\":[[0,2],[12,1],[59,1],[93,1],[139,1],[138,1]]},{\"element\":[\"-40617467754836267/15904697019129513\",\"19031827458293981/10603131346086342\",\"-109196770541764817/31809394038259026\",\"-65789036121460753/31809394038259026\",\"177357457778559157/31809394038259026\",\"999822530120523089/127237576153036104\",\"-373969332595232741/127237576153036104\",\"228674423913489347/63618788076518052\",\"805142898172418153/127237576153036104\",\"62668047598418945/36353593186581744\",\"17837416224988585/31809394038259026\",\"-3775388229006761/24235728791054496\",\"21682825232150825/36353593186581744\",\"-27824996264170721/32314305054739328\",\"-8224649590394341/145414372746326976\",\"-28539215068636147/339300203074762944\",\"69577659204043043/508950304612144416\",\"-166543802561285/21206262692172684\",\"-10075827754283387/4071602436897155328\",\"11365980942613/2035801218448577664\",\"35908879687075/8143204873794310656\",\"-80832192239377/2714401624598103552\",\"240974605577561/10857606498392414208\",\"-276352273104511/32572819495177242624\",\"969338689505609/32572819495177242624\",\"-329690072092557/7238404332261609472\",\"-226341800050105/43430425993569656832\"],\"prime_valuations\":[[7,1],[53,1],[64,1],[140,2]]},{\"element\":[\"-13450219298031904/5301565673043171\",\"-10138618679535496/1767188557681057\",\"-5245411883320409/5301565673043171\",\"-143802437885972069/15904697019129513\",\"-877833848710317823/63618788076518052\",\"90509009966228435/18176796593290872\",\"-1079234166032687/12117864395527248\",\"-1251496282349027077/127237576153036104\",\"-99770754092653343/72707186373163488\",\"214539281528001985/127237576153036104\",\"33759907792746641/48471457582108992\",\"-213970329316158589/339300203074762944\",\"955409648643123431/1017900609224288832\",\"80232604392651691/169650101537381472\",\"-297579727461444571/1017900609224288832\",\"-602463649474711315/4071602436897155328\",\"-429204596333572141/8143204873794310656\",\"588824283048659779/8143204873794310656\",\"-18980355433376465/1809601083065402368\",\"29294349721777/775543321313743872\",\"148727296631097/3619202166130804736\",\"-780254234955175/32572819495177242624\",\"21390944666411/8143204873794310656\",\"-507148634040877/16286409747588621312\",\"2148435625436411/43430425993569656832\",\"529223483184067/18613039711529852928\",\"-474205502479319/21715212996784828416\"],\"prime_valuations\":[[1,6],[64,1],[125,1],[115,1],[139,1],[140,1]]},{\"element\":[\"-1\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\",\"0\"],\"prime_valuations\":[]}],\"primes\":[{\"p\":2,\"e\":8,\"f\":3,\"hnf\":[[2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1],[0,2,0,0,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0],[0,0,2,0,0,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":2,\"e\":1,\"f\":3,\"hnf\":[[2,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,2,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,2,1,0,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,1],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":3,\"e\":1,\"f\":3,\"hnf\":[[3,0,1,0,1,1,1,0,1,2,2,0,2,1,0,2,2,0,1,0,0,2,2,2,0,1,2],[0,3,2,0,2,0,1,1,0,2,0,2,0,1,0,0,0,1,0,0,2,1,1,0,2,2,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,3,0,2,0,1,2,1,2,2,0,1,2,1,1,2,1,2,1,2,1,0,1,2,1],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":3,\"e\":1,\"f\":6,\"hnf\":[[3,0,0,0,0,0,2,0,0,1,0,2,2,0,2,2,1,2,2,0,2,1,2,2,1,2,1],[0,3,0,0,0,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,0,0,1,0,1,1,0],[0,0,3,0,0,0,2,0,1,0,1,1,2,1,0,0,1,2,1,2,2,2,0,0,1,0,2],[0,0,0,3,0,0,2,0,1,0,1,2,1,0,0,2,1,2,0,1,2,1,2,1,2,1,1],[0,0,0,0,3,0,1,1,0,0,0,0,2,2,2,2,2,2,1,1,0,1,0,1,1,0,1],[0,0,0,0,0,3,1,1,2,0,1,0,2,2,0,1,2,1,1,0,1,0,1,2,2,1,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":3,\"e\":1,\"f\":6,\"hnf\":[[3,0,0,0,0,1,0,2,0,1,0,0,2,0,2,1,2,1,1,0,2,0,1,2,1,0,0],[0,3,0,0,0,0,0,2,1,2,1,0,1,2,1,1,0,2,1,2,1,0,0,2,1,0,1],[0,0,3,0,0,0,0,0,0,0,1,1,2,2,2,0,2,0,0,0,2,2,0,0,0,1,2],[0,0,0,3,0,2,0,1,1,1,1,0,0,0,0,2,2,2,1,2,1,1,2,1,1,2,0],[0,0,0,0,3,0,0,2,1,2,0,0,0,2,1,1,1,0,0,1,2,0,2,0,0,2,1],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,0,2,2,2,2,1,0,0,2,0,2,1,2,0,1,2,2,0,1,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":3,\"e\":1,\"f\":6,\"hnf\":[[3,0,0,0,0,1,0,1,1,1,0,1,2,1,1,0,2,0,1,2,2,1,0,1,0,2,1],[0,3,0,0,0,2,0,2,2,0,1,0,2,2,0,0,1,0,2,0,1,1,2,0,0,2,1],[0,0,3,0,0,2,0,2,2,1,1,2,0,1,0,1,2,2,0,0,0,0,2,0,0,2,0],[0,0,0,3,0,0,0,1,1,1,2,1,2,2,0,2,0,0,1,2,2,0,0,0,0,2,2],[0,0,0,0,3,2,0,1,2,1,2,1,0,1,2,2,0,0,0,0,2,0,1,2,2,1,1],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,3,2,2,0,2,2,2,0,0,2,2,1,1,1,0,0,1,2,2,1,1],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":3,\"e\":1,\"f\":6,\"hnf\":[[3,0,0,0,0,1,1,0,2,1,1,1,1,2,0,1,0,0,0,2,2,2,0,2,0,2,0],[0,3,0,0,0,1,0,0,2,0,1,0,0,1,1,0,1,1,2,2,2,1,2,2,0,1,2],[0,0,3,0,0,2,0,0,1,2,1,0,1,1,0,2,1,2,0,2,0,0,1,1,2,1,1],[0,0,0,3,0,0,0,0,2,2,1,0,0,0,2,1,1,0,1,2,2,2,0,2,2,2,2],[0,0,0,0,3,1,0,0,1,1,0,1,1,2,0,1,0,0,1,0,1,1,1,2,1,1,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,3,1,0,2,2,2,1,1,2,0,2,0,2,0,0,0,2,1,2,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":7,\"e\":1,\"f\":1,\"hnf\":[[7,1,6,3,3,6,5,0,3,6,5,1,5,2,1,4,4,0,4,3,4,5,4,4,3,5,4],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":7,\"e\":1,\"f\":1,\"hnf\":[[7,2,3,2,1,3,0,0,2,6,0,2,0,6,4,5,1,5,4,0,5,3,4,6,3,0,5],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":31,\"e\":1,\"f\":1,\"hnf\":[[31,29,12,24,13,24,24,10,15,14,23,5,13,17,30,12,18,17,19,27,26,5,16,9,20,24,26],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":499,\"e\":1,\"f\":1,\"hnf\":[[499,214,64,324,422,279,220,141,192,325,5,439,391,128,320,14,18,55,59,36,11,185,161,277,19,495,69],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1237,\"e\":1,\"f\":1,\"hnf\":[[1237,545,1094,289,1130,1079,12,458,1156,480,21,495,596,426,454,200,545,511,821,855,176,109,1128,731,227,169,480],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":5,\"e\":1,\"f\":1,\"hnf\":[[5,0,4,2,1,2,4,2,3,0,1,4,0,3,2,0,0,3,1,0,0,2,4,3,1,4,2],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":7,\"e\":1,\"f\":1,\"hnf\":[[7,4,0,3,3,6,0,2,4,3,2,1,5,6,5,5,4,5,4,0,2,1,1,0,5,5,4],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":11,\"e\":1,\"f\":1,\"hnf\":[[11,1,10,3,8,1,10,0,4,1,10,8,10,4,8,9,1,10,3,10,3,4,2,8,2,5,4],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":587,\"e\":1,\"f\":1,\"hnf\":[[587,264,112,319,495,464,63,95,149,400,235,243,443,32,187,435,264,128,558,385,221,274,251,508,447,47,499],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":7,\"e\":1,\"f\":2,\"hnf\":[[7,0,3,1,2,5,1,2,4,0,1,3,1,5,3,0,0,6,4,0,0,1,4,3,0,1,2],[0,7,1,0,0,0,2,4,2,2,2,2,1,1,2,0,4,1,0,1,2,5,1,1,3,0,4],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":277,\"e\":1,\"f\":1,\"hnf\":[[277,262,64,162,171,199,61,141,11,62,60,240,225,154,151,108,45,169,104,260,72,24,142,119,67,200,203],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":419,\"e\":1,\"f\":1,\"hnf\":[[419,197,215,47,214,147,176,231,128,48,269,170,358,223,276,78,374,293,126,36,161,80,268,49,74,88,191],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":499,\"e\":1,\"f\":1,\"hnf\":[[499,50,101,404,42,116,217,216,64,311,226,436,307,104,267,407,169,463,328,362,395,58,20,385,192,126,478],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1231,\"e\":1,\"f\":1,\"hnf\":[[1231,318,883,531,1129,953,296,322,10,228,124,1212,757,755,188,320,86,1217,337,439,430,618,895,1093,387,1103,1154],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":563,\"e\":1,\"f\":1,\"hnf\":[[563,42,483,156,397,297,259,451,537,88,504,413,517,552,174,495,416,461,311,562,216,52,113,469,279,37,274],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":19,\"e\":1,\"f\":1,\"hnf\":[[19,8,3,5,8,6,6,14,2,10,7,7,6,12,18,10,15,14,3,2,12,8,7,15,17,1,14],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":139,\"e\":1,\"f\":1,\"hnf\":[[139,36,116,69,135,131,43,14,32,129,109,25,65,88,17,61,117,122,82,131,5,37,28,81,132,41,64],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":89,\"e\":1,\"f\":1,\"hnf\":[[89,73,26,53,84,32,53,75,50,22,14,12,70,71,71,36,65,38,69,58,9,58,85,43,33,74,64],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":229,\"e\":1,\"f\":1,\"hnf\":[[229,157,193,183,219,179,125,141,100,165,17,188,182,167,12,53,38,115,217,31,196,72,192,53,74,144,150],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":557,\"e\":1,\"f\":1,\"hnf\":[[557,223,132,25,312,344,324,293,101,403,449,196,395,373,522,137,267,31,120,86,49,176,410,515,342,64,417],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":653,\"e\":1,\"f\":1,\"hnf\":[[653,216,210,84,482,72,61,525,283,533,445,599,375,102,604,264,534,323,367,327,368,4,229,9,94,306,452],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":7,\"e\":1,\"f\":2,\"hnf\":[[7,0,3,6,1,2,6,6,2,1,2,0,6,3,0,1,2,3,2,6,4,2,5,6,0,0,6],[0,7,5,6,4,6,5,4,2,2,6,2,0,5,4,5,2,5,6,4,3,4,6,0,4,0,5],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1217,\"e\":1,\"f\":1,\"hnf\":[[1217,1038,793,824,1025,1040,146,1150,145,41,639,261,600,778,962,978,736,323,434,1136,925,1122,569,1120,678,1072,510],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":41,\"e\":1,\"f\":1,\"hnf\":[[41,36,7,19,26,31,36,32,39,9,14,32,27,16,36,8,12,4,19,5,7,10,35,10,19,17,34],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":179,\"e\":1,\"f\":1,\"hnf\":[[179,175,152,44,57,76,122,26,111,54,84,49,56,142,168,148,131,11,155,67,49,18,25,65,79,147,158],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":79,\"e\":1,\"f\":1,\"hnf\":[[79,9,9,73,26,57,0,40,16,39,65,0,38,51,57,13,7,68,49,35,3,39,39,25,19,30,64],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1117,\"e\":1,\"f\":1,\"hnf\":[[1117,405,196,748,224,603,997,648,862,709,530,788,832,629,97,991,297,633,99,450,874,160,35,281,79,498,873],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1213,\"e\":1,\"f\":1,\"hnf\":[[1213,528,67,941,330,135,1068,964,271,926,353,607,46,1030,401,712,55,1148,3,155,432,1091,469,1184,993,407,631],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":727,\"e\":1,\"f\":1,\"hnf\":[[727,410,251,640,493,248,419,13,471,627,73,5,661,322,246,528,58,163,111,450,703,101,722,700,121,631,228],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":7,\"e\":1,\"f\":2,\"hnf\":[[7,6,0,2,0,3,3,6,2,4,3,3,4,3,0,5,4,6,6,1,0,1,2,3,1,4,3],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,7,1,4,2,1,2,6,5,1,3,4,6,1,4,6,4,5,6,4,1,3,0,2,0,2],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":127,\"e\":1,\"f\":1,\"hnf\":[[127,47,121,57,29,24,45,74,115,112,49,26,103,10,99,49,63,49,84,44,34,80,28,39,7,113,4],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":293,\"e\":1,\"f\":1,\"hnf\":[[293,204,13,291,292,146,53,8,75,191,262,52,264,194,229,99,186,218,284,133,204,288,63,267,290,153,251],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":829,\"e\":1,\"f\":1,\"hnf\":[[829,386,268,338,363,21,664,442,306,645,284,243,586,171,320,658,559,390,114,589,812,665,402,223,437,738,577],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1213,\"e\":1,\"f\":1,\"hnf\":[[1213,911,611,832,312,1061,562,786,923,1023,1036,994,60,519,8,314,1120,564,28,973,823,80,437,105,233,598,16],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":853,\"e\":1,\"f\":1,\"hnf\":[[853,111,588,645,41,439,566,769,137,108,624,173,514,529,720,236,327,292,521,94,567,775,149,528,757,117,850],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1129,\"e\":1,\"f\":1,\"hnf\":[[1129,809,90,701,976,150,459,120,554,547,101,953,946,567,207,1047,843,910,576,339,716,608,1119,995,385,598,1010],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":733,\"e\":1,\"f\":1,\"hnf\":[[733,619,308,228,688,87,86,543,701,344,302,314,417,205,5,654,495,217,703,322,1,285,96,589,425,324,371],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":953,\"e\":1,\"f\":1,\"hnf\":[[953,473,518,210,118,662,129,172,529,542,364,118,165,336,775,282,740,746,216,179,413,497,295,138,389,44,498],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":71,\"e\":1,\"f\":1,\"hnf\":[[71,69,69,7,51,13,8,50,56,45,48,61,41,3,33,67,62,4,53,26,31,14,26,57,53,52,19],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":71,\"e\":1,\"f\":1,\"hnf\":[[71,67,49,39,31,52,11,5,3,5,24,35,63,44,49,35,7,46,39,25,53,37,4,65,9,42,54],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1213,\"e\":1,\"f\":1,\"hnf\":[[1213,154,729,1154,185,476,95,402,366,524,991,672,859,909,1107,825,398,352,661,566,622,590,650,657,452,471,2],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":163,\"e\":1,\"f\":1,\"hnf\":[[163,88,137,110,83,60,25,126,57,64,95,64,0,104,61,32,30,145,130,91,31,104,89,74,137,141,58],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":163,\"e\":1,\"f\":1,\"hnf\":[[163,135,155,141,74,33,141,151,109,54,38,129,151,129,65,120,94,35,69,63,116,41,42,13,71,160,100],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":227,\"e\":1,\"f\":1,\"hnf\":[[227,62,13,200,84,104,130,156,52,92,144,119,75,24,221,59,194,208,169,147,13,122,160,103,58,99,103],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":881,\"e\":1,\"f\":1,\"hnf\":[[881,624,795,61,260,559,601,432,866,821,209,237,106,601,837,783,79,771,607,746,745,457,595,40,616,130,757],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":953,\"e\":1,\"f\":1,\"hnf\":[[953,553,949,854,154,531,623,613,111,119,253,655,78,698,360,824,712,342,780,63,608,151,769,396,773,580,592],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":19,\"e\":1,\"f\":1,\"hnf\":[[19,11,12,15,9,7,8,0,17,1,18,5,16,5,5,5,5,18,3,4,15,10,11,9,3,4,14],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":587,\"e\":1,\"f\":1,\"hnf\":[[587,554,157,346,492,477,491,490,364,108,388,465,17,125,225,179,436,354,220,422,387,166,196,318,539,456,150],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1213,\"e\":1,\"f\":1,\"hnf\":[[1213,537,1165,937,167,5,417,957,901,259,60,65,607,525,1116,509,966,1044,844,1077,83,315,626,1118,443,583,537],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":61,\"e\":1,\"f\":1,\"hnf\":[[61,19,13,44,25,23,4,11,46,10,35,11,30,60,4,45,60,11,21,12,13,22,25,23,7,58,57],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1213,\"e\":1,\"f\":1,\"hnf\":[[1213,184,901,205,1071,835,863,996,545,802,48,683,1016,631,1118,1184,685,165,438,370,655,658,286,329,861,619,686],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1193,\"e\":1,\"f\":1,\"hnf\":[[1193,400,899,433,1058,1028,1089,886,564,808,853,591,263,188,898,735,655,743,682,864,315,457,535,349,849,807,1176],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":29,\"e\":1,\"f\":1,\"hnf\":[[29,19,12,2,1,14,1,16,4,5,20,13,24,19,2,24,10,1,23,15,10,12,10,24,2,5,5],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":127,\"e\":1,\"f\":1,\"hnf\":[[127,79,24,122,25,5,114,100,27,14,23,70,15,61,71,114,3,8,50,60,57,52,80,7,80,125,117],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1213,\"e\":1,\"f\":1,\"hnf\":[[1213,567,697,561,1053,543,298,368,999,992,20,290,463,621,1136,588,461,45,871,864,958,694,158,431,1130,1098,98],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":317,\"e\":1,\"f\":1,\"hnf\":[[317,118,312,299,176,45,234,161,184,238,79,285,113,223,303,292,112,153,126,314,154,38,299,90,3,283,152],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":499,\"e\":1,\"f\":1,\"hnf\":[[499,403,294,440,93,416,377,249,243,483,189,246,152,19,456,390,62,389,160,448,445,131,349,119,247,195,88],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":37,\"e\":1,\"f\":1,\"hnf\":[[37,32,3,23,21,20,16,36,20,11,31,20,32,21,33,36,26,34,16,33,31,19,22,32,1,26,22],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":79,\"e\":1,\"f\":1,\"hnf\":[[79,3,65,24,33,48,64,5,27,65,71,64,22,10,47,42,5,29,34,24,59,26,33,59,65,54,6],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":157,\"e\":1,\"f\":1,\"hnf\":[[157,76,117,8,118,103,69,7,128,135,135,5,44,30,3,112,8,13,155,35,138,110,146,151,124,110,127],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":967,\"e\":1,\"f\":1,\"hnf\":[[967,718,334,747,378,116,488,567,955,126,904,519,760,431,237,173,306,409,362,296,323,429,830,12,790,413,481],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":83,\"e\":1,\"f\":1,\"hnf\":[[83,7,69,64,13,40,46,8,37,31,47,37,23,62,3,51,52,53,22,31,75,28,37,17,23,52,33],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1213,\"e\":1,\"f\":1,\"hnf\":[[1213,118,54,528,1043,106,1086,707,67,378,1088,935,291,810,291,279,563,344,185,417,652,38,1160,613,594,204,401],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":47,\"e\":1,\"f\":1,\"hnf\":[[47,32,0,38,5,11,30,21,35,23,38,17,24,32,4,40,0,22,26,11,28,23,0,0,46,6,40],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1091,\"e\":1,\"f\":1,\"hnf\":[[1091,1053,878,567,812,901,66,613,178,674,286,721,371,672,99,800,353,967,664,790,308,845,896,330,744,398,801],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1213,\"e\":1,\"f\":1,\"hnf\":[[1213,148,359,925,716,828,635,652,1113,31,379,507,722,244,1200,858,755,1191,22,872,776,828,758,926,195,23,269],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":223,\"e\":1,\"f\":1,\"hnf\":[[223,13,137,33,169,103,95,169,28,1,209,210,63,14,211,66,36,50,213,58,33,84,122,61,47,87,172],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1181,\"e\":1,\"f\":1,\"hnf\":[[1181,288,1044,412,86,1026,224,649,668,238,1153,31,113,843,502,164,704,691,924,673,33,111,730,244,835,864,2],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":431,\"e\":1,\"f\":1,\"hnf\":[[431,283,361,425,287,407,79,362,191,104,344,114,268,112,168,73,359,305,380,225,238,51,44,420,165,364,82],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":827,\"e\":1,\"f\":1,\"hnf\":[[827,559,440,263,261,260,585,27,37,615,368,655,399,362,703,420,115,671,614,47,480,826,191,767,698,31,257],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1201,\"e\":1,\"f\":1,\"hnf\":[[1201,1093,477,379,713,1028,121,6,570,669,1088,242,360,515,417,836,228,46,643,1189,140,619,1157,633,912,456,107],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1021,\"e\":1,\"f\":1,\"hnf\":[[1021,738,240,212,838,102,70,749,314,743,368,572,399,947,466,107,735,567,364,597,282,53,14,851,38,374,353],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":599,\"e\":1,\"f\":1,\"hnf\":[[599,200,531,535,131,105,365,321,567,35,279,43,210,187,537,171,304,376,543,350,156,478,462,159,176,112,358],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1193,\"e\":1,\"f\":1,\"hnf\":[[1193,552,499,1184,530,324,297,913,527,1091,308,724,433,895,1081,908,630,740,939,422,918,471,332,281,36,23,1127],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1193,\"e\":1,\"f\":1,\"hnf\":[[1193,248,521,141,220,853,450,412,792,383,653,693,1036,1077,760,323,898,1076,455,352,318,1105,790,688,136,392,747],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":11,\"e\":1,\"f\":2,\"hnf\":[[11,0,0,4,8,6,5,4,10,2,10,4,6,6,5,4,8,9,6,2,5,4,8,6,2,2,3],[0,11,7,5,9,3,4,1,2,2,9,6,0,2,5,4,0,5,7,8,6,1,7,8,2,4,7],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1021,\"e\":1,\"f\":1,\"hnf\":[[1021,999,532,974,782,538,738,772,962,416,741,15,512,249,837,192,620,216,438,332,868,817,170,521,678,816,199],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1193,\"e\":1,\"f\":1,\"hnf\":[[1193,545,755,407,1108,563,956,736,844,234,822,225,682,492,1004,441,326,915,305,380,991,261,793,684,292,1118,1071],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":829,\"e\":1,\"f\":1,\"hnf\":[[829,452,105,266,187,339,433,448,752,692,487,329,117,409,265,97,443,725,253,794,34,343,809,573,166,382,228],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1193,\"e\":1,\"f\":1,\"hnf\":[[1193,241,519,299,798,129,1043,1042,1181,71,1026,129,1132,380,973,131,872,780,604,1016,948,409,820,91,491,373,26],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":241,\"e\":1,\"f\":1,\"hnf\":[[241,46,52,137,190,25,46,169,205,186,182,225,202,97,181,60,183,152,189,33,177,119,217,135,9,148,183],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":311,\"e\":1,\"f\":1,\"hnf\":[[311,232,174,159,45,76,205,284,216,216,223,15,224,112,105,224,217,228,212,49,134,258,76,298,88,253,280],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":797,\"e\":1,\"f\":1,\"hnf\":[[797,304,418,344,329,474,357,606,461,636,486,474,486,667,436,505,766,178,787,621,406,87,334,332,300,44,129],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1063,\"e\":1,\"f\":1,\"hnf\":[[1063,343,927,856,380,84,171,699,683,111,168,694,786,789,1021,860,429,376,82,209,409,174,810,514,813,512,577],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":977,\"e\":1,\"f\":1,\"hnf\":[[977,146,673,127,777,517,843,211,424,253,926,805,548,947,289,620,258,97,119,296,867,176,596,472,639,951,177],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1187,\"e\":1,\"f\":1,\"hnf\":[[1187,25,97,529,184,877,154,1151,225,559,89,758,202,594,470,5,326,1160,13,712,148,815,83,272,113,720,134],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":233,\"e\":1,\"f\":1,\"hnf\":[[233,99,99,150,87,60,9,3,2,115,210,80,155,159,138,212,137,68,165,189,8,13,50,171,88,116,204],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":223,\"e\":1,\"f\":1,\"hnf\":[[223,24,36,95,108,189,114,120,127,76,89,60,159,201,134,42,110,140,71,199,84,111,27,75,17,41,188],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":239,\"e\":1,\"f\":1,\"hnf\":[[239,195,150,114,130,154,141,169,140,155,169,163,179,158,66,180,238,1,12,195,223,159,166,131,105,177,73],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":401,\"e\":1,\"f\":1,\"hnf\":[[401,389,106,39,144,58,214,84,333,106,124,316,173,163,8,240,79,20,258,118,124,336,176,124,8,129,152],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":233,\"e\":1,\"f\":1,\"hnf\":[[233,75,67,200,7,92,146,117,160,143,201,126,1,9,17,15,187,75,150,88,174,70,72,119,104,55,206],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":449,\"e\":1,\"f\":1,\"hnf\":[[449,9,60,22,245,295,41,404,171,410,124,96,46,318,331,205,12,174,137,364,40,202,124,422,288,7,9],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":947,\"e\":1,\"f\":1,\"hnf\":[[947,15,501,672,916,940,825,17,480,842,155,750,140,341,816,801,714,645,751,618,465,484,933,487,382,427,725],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1151,\"e\":1,\"f\":1,\"hnf\":[[1151,379,788,130,425,41,960,651,823,576,673,260,284,507,221,510,1132,1081,359,1107,65,130,737,1,692,909,634],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1151,\"e\":1,\"f\":1,\"hnf\":[[1151,783,201,557,31,95,832,668,493,721,783,1141,654,877,377,544,143,1146,857,567,1049,234,780,310,982,847,110],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":163,\"e\":1,\"f\":1,\"hnf\":[[163,103,69,109,6,145,15,29,27,102,64,114,16,7,72,162,133,97,13,129,34,161,121,23,80,94,154],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":883,\"e\":1,\"f\":1,\"hnf\":[[883,832,591,245,346,186,310,105,381,227,717,195,829,396,290,63,23,451,577,803,869,133,270,866,384,481,349],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":167,\"e\":1,\"f\":1,\"hnf\":[[167,128,79,107,128,158,42,60,86,17,121,85,150,109,57,47,25,28,90,1,149,136,165,103,64,27,48],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1103,\"e\":1,\"f\":1,\"hnf\":[[1103,883,654,318,111,1009,182,116,186,826,467,382,831,165,598,651,1057,381,146,217,154,676,45,608,178,617,265],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":499,\"e\":1,\"f\":1,\"hnf\":[[499,186,356,309,21,29,374,78,443,404,221,441,410,462,106,255,376,305,447,448,86,297,380,224,230,490,214],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1103,\"e\":1,\"f\":1,\"hnf\":[[1103,283,489,185,632,1034,412,33,925,327,1077,166,1044,490,734,646,996,404,1052,937,933,516,313,19,687,212,184],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1087,\"e\":1,\"f\":1,\"hnf\":[[1087,168,748,302,36,439,1045,77,11,923,732,809,880,1013,810,252,477,1033,489,679,474,853,12,887,187,534,487],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":127,\"e\":1,\"f\":1,\"hnf\":[[127,1,82,47,73,66,87,82,54,66,110,93,40,117,29,102,111,42,120,104,54,104,16,44,6,48,2],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":251,\"e\":1,\"f\":1,\"hnf\":[[251,214,248,118,234,232,35,199,189,201,32,33,181,57,186,127,142,85,117,33,124,119,209,148,87,38,85],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1049,\"e\":1,\"f\":1,\"hnf\":[[1049,667,961,202,457,1000,482,867,146,885,998,111,425,131,299,687,263,852,31,69,440,188,229,57,882,581,646],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1031,\"e\":1,\"f\":1,\"hnf\":[[1031,924,870,270,947,596,659,845,244,150,501,805,265,716,822,131,443,164,989,562,291,792,216,863,333,745,624],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1021,\"e\":1,\"f\":1,\"hnf\":[[1021,305,265,871,422,806,237,498,524,790,601,869,402,623,922,795,599,383,193,945,957,1001,312,69,715,368,123],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1021,\"e\":1,\"f\":1,\"hnf\":[[1021,762,716,1,2,1019,677,642,528,518,835,405,155,132,336,10,620,20,796,497,518,280,104,716,143,452,227],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":281,\"e\":1,\"f\":1,\"hnf\":[[281,44,199,52,227,228,235,118,117,197,174,74,81,77,196,249,268,9,101,136,128,201,245,232,46,269,108],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":401,\"e\":1,\"f\":1,\"hnf\":[[401,32,204,19,380,381,33,184,234,162,96,322,29,132,301,107,372,79,156,64,271,141,379,267,204,90,225],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":499,\"e\":1,\"f\":1,\"hnf\":[[499,267,467,464,114,488,47,426,103,57,251,12,153,384,220,363,394,253,366,332,1,130,440,122,216,467,98],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1021,\"e\":1,\"f\":1,\"hnf\":[[1021,975,494,602,597,981,146,823,819,819,751,241,533,511,765,293,326,202,663,951,916,959,93,277,291,28,602],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":1013,\"e\":1,\"f\":1,\"hnf\":[[1013,967,822,282,740,723,302,540,227,171,562,571,465,533,220,221,119,129,98,444,611,992,384,840,609,959,31],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":599,\"e\":1,\"f\":1,\"hnf\":[[599,69,474,95,454,569,420,116,306,326,162,220,154,200,106,532,165,530,265,5,421,527,563,105,203,438,319],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":937,\"e\":1,\"f\":1,\"hnf\":[[937,901,350,10,375,431,464,604,149,413,43,80,227,448,184,677,53,127,464,701,382,106,675,689,148,405,115],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":977,\"e\":1,\"f\":1,\"hnf\":[[977,143,125,785,173,179,454,317,814,195,710,136,125,630,78,306,619,540,508,574,663,4,833,425,292,73,843],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":977,\"e\":1,\"f\":1,\"hnf\":[[977,688,296,181,27,124,563,505,883,313,382,890,464,874,949,563,487,635,847,307,964,405,188,818,361,491,560],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":461,\"e\":1,\"f\":1,\"hnf\":[[461,396,207,331,78,185,450,88,101,422,86,376,24,33,190,209,160,367,199,193,460,178,290,289,77,398,99],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":163,\"e\":1,\"f\":1,\"hnf\":[[163,128,155,93,149,65,56,11,106,7,57,100,51,153,9,66,153,155,121,104,162,70,22,71,6,43,8],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":499,\"e\":1,\"f\":1,\"hnf\":[[499,99,18,303,56,428,395,475,452,456,40,23,119,143,364,369,5,382,163,390,444,304,430,464,251,405,52],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":31,\"e\":1,\"f\":2,\"hnf\":[[31,0,14,12,13,10,14,6,22,1,19,29,4,14,17,1,28,4,8,15,7,28,28,18,29,17,2],[0,31,20,9,4,26,2,3,15,11,26,0,24,14,9,19,10,12,3,9,5,1,26,6,22,20,27],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":313,\"e\":1,\"f\":1,\"hnf\":[[313,125,53,236,252,174,182,208,269,153,143,118,287,167,229,241,282,112,262,173,113,260,264,301,261,205,42],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":31,\"e\":1,\"f\":2,\"hnf\":[[31,0,17,18,11,27,6,11,26,7,18,12,13,17,27,26,12,12,26,12,23,14,14,8,5,1,14],[0,31,28,9,18,8,23,21,17,18,16,21,19,12,26,11,10,15,3,4,26,30,10,30,3,30,27],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":31,\"e\":1,\"f\":2,\"hnf\":[[31,0,20,30,12,19,16,26,18,24,29,4,14,18,24,27,2,16,19,22,14,4,7,30,15,29,24],[0,31,20,1,18,9,7,30,8,9,3,0,0,22,1,5,22,25,1,5,18,8,23,17,10,7,10],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":733,\"e\":1,\"f\":1,\"hnf\":[[733,419,403,705,157,503,273,219,443,386,256,222,215,127,654,424,450,42,218,47,187,29,126,444,188,439,491],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":953,\"e\":1,\"f\":1,\"hnf\":[[953,863,16,461,461,952,88,522,313,90,483,190,840,241,306,748,658,94,792,507,511,607,915,705,931,163,237],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":953,\"e\":1,\"f\":1,\"hnf\":[[953,490,148,750,338,58,607,484,733,783,97,867,70,103,925,755,164,173,8,707,202,178,363,452,211,466,567],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":919,\"e\":1,\"f\":1,\"hnf\":[[919,604,230,663,280,317,384,776,778,316,506,694,445,551,534,476,574,908,329,876,895,622,448,855,208,448,578],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":953,\"e\":1,\"f\":1,\"hnf\":[[953,880,558,7,681,175,852,101,502,567,329,926,27,402,416,945,662,89,227,671,157,574,328,94,211,654,82],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":947,\"e\":1,\"f\":1,\"hnf\":[[947,557,666,862,791,143,520,476,888,103,23,525,54,664,102,519,625,834,425,642,715,455,645,210,709,169,299],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":919,\"e\":1,\"f\":1,\"hnf\":[[919,837,568,643,606,182,141,61,752,699,130,195,263,762,216,569,707,584,185,24,66,733,250,381,783,588,634],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":911,\"e\":1,\"f\":1,\"hnf\":[[911,344,882,847,427,391,192,200,566,587,872,682,306,905,177,579,828,363,85,748,694,556,440,34,508,441,334],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":347,\"e\":1,\"f\":1,\"hnf\":[[347,333,38,159,299,236,270,95,41,166,105,164,37,282,218,141,169,111,286,284,22,81,242,143,136,180,18],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]},{\"p\":733,\"e\":1,\"f\":1,\"hnf\":[[733,428,79,589,621,325,467,189,732,563,72,172,577,405,669,317,338,491,370,200,291,587,387,352,30,40,22],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]}],\"generators\":[{\"retained_generator_index\":0,\"compact_full_generator\":[[0,1]],\"full_generator_prime_valuations\":[[0,1]]},{\"retained_generator_index\":1,\"compact_full_generator\":[[1,1]],\"full_generator_prime_valuations\":[[1,1]]},{\"retained_generator_index\":2,\"compact_full_generator\":[[2,-267162684077975],[3,63667842358388],[4,-63667842358388],[5,-407560825941017],[6,372948698916456],[7,-105786014838481],[8,140398141863042],[9,-161339425686524],[10,238116465008327],[11,-364308594801688],[12,231354546095116],[13,-227101244661033],[14,-91655915566167],[15,318757160227200],[16,-133421828116683],[17,252922865027727],[18,-286350600954553],[19,-152685910390782],[20,-182667399591338],[21,459851782367055],[22,-19763579831666],[23,1494722124651],[24,89919144965807],[25,-298512356680531],[26,140398141863042],[27,186790639919135],[28,-28676425101646],[29,239813668064312],[30,-239813668064312],[31,-353129413649455],[32,136332045897113],[33,-71650287258792],[34,288447655011134],[35,395841649528589],[36,-395841649528589],[37,-372948698916456],[38,372948698916456],[39,-130330871340632],[40,-37977609887683],[41,168308481228315],[42,-596803331438217],[43,489808799884285],[44,-225582494193106],[45,-186012226786216],[46,120849662303177],[47,63667842358388],[48,55356617542724],[49,7456000898774],[50,162769875751608],[51,-42118172480093],[52,42118172480093],[53,209012516158195],[54,-120332340667813],[55,-176393485314055],[56,159363597082465],[57,-26648629703751],[58,186012226786216],[59,166849564043509],[60,66973293218875],[61,-209012516158195],[62,142039222939320],[63,-28676425101646],[64,120332340667813],[65,-239889257891221],[66,-142039222939320],[67,615508033957180],[68,280796283726090],[69,-140398141863048],[70,-140398141863042],[71,326213161125974],[72,-7456000898774],[73,-318757160227200],[74,267162684077975],[75,-27349016013663],[76,362096949530380],[77,-15469542776336],[78,-694688168306258],[79,348060761552214],[80,270851062728658],[81,406301962780518],[82,-656598612622802],[83,-183324288637982],[84,-309547576256282],[85,-76777039321803],[86,-230317286828849],[87,-187950103566009],[88,-98400497388544],[89,286350600954553],[90,134220543113701],[91,-406301962780518],[92,272081419666817],[93,533033016905427],[94,-738931932827112],[95,-129391247882950],[96,12104386403389],[97,231354546095116],[98,164487103433473],[99,-1388497382231745],[100,106768903993220],[101,1113419997010210],[102,-352204208398293],[103,352204208398293],[104,-637726842651997],[105,374695198227131],[106,280662803416987],[107,184632370064849],[108,10851749386076],[109,-326213161125974],[110,130729041675049],[111,-12104386403389],[112,12104386403395],[113,-6],[114,42118172480093],[115,317124080112780],[116,-288447655011134],[117,-135944160123575],[118,-2924768494747],[119,279267070481364],[120,-140398141863042],[121,-231354546095116],[122,-6334395164725],[123,237688941259841],[124,620267083215440],[125,-620267083215440],[126,-620267083232783],[127,-936373050047671],[128,864149238246304],[129,692490895034150],[130,-126833102522649],[131,-489808799884285],[132,616641902406934],[133,499216741507184],[134,-212866140552637],[135,6],[136,-252515805833924],[137,-252922865027727],[138,-733885569487862],[139,920567080122313],[140,61295455945786],[141,-90769198763920],[142,29473742818134],[143,-12104386403395],[144,2924768494747],[145,96576430867557],[146,-96576430867557],[147,-91536461967091],[148,281599290129373],[149,-374695198227131],[150,614011520572421],[151,227101244661033],[152,-628246624680817],[153,-17631158992121],[154,91655915566167],[155,-74024756574046],[156,6],[157,-6],[158,-3],[159,6]],\"full_generator_prime_valuations\":[]},{\"retained_generator_index\":3,\"compact_full_generator\":[[2,-6786697119],[3,1617345490],[4,-1617345490],[5,-10353211912],[6,9473964784],[7,-2687267665],[8,3566514793],[9,-4098483362],[10,6048839989],[11,-9254481401],[12,5877067888],[13,-5769021854],[14,-2328322686],[15,8097344540],[16,-3389296449],[17,6424964943],[18,-7274125147],[19,-3878659296],[20,-4640274966],[21,11681551926],[22,-502051515],[23,37970222],[24,2284203740],[25,-7583068564],[26,3566514793],[27,4745017075],[28,-728463304],[29,6091953806],[30,-6091953806],[31,-8970498192],[32,3463224314],[33,-1820122447],[34,7327396325],[35,10055511277],[36,-10055511277],[37,-9473964784],[38,9473964784],[39,-3310777297],[40,-964740029],[41,4275517326],[42,-15160513393],[43,12442545944],[44,-5730441243],[45,-4725243153],[46,3069927441],[47,1617345490],[48,1406216583],[49,189403771],[50,4134820889],[51,-1069922175],[52,1069922175],[53,5309516358],[54,-3056785990],[55,-4480899579],[56,4048291658],[57,-676951495],[58,4725243153],[59,4238456653],[60,1701313406],[61,-5309516358],[62,3608202952],[63,-728463304],[64,3056785990],[65,-6093874005],[66,-3608202952],[67,15635666394],[68,7133029586],[69,-3566514793],[70,-3566514793],[71,8286748311],[72,-189403771],[73,-8097344540],[74,6786697119],[75,-694743313],[76,9198299279],[77,-392970680],[78,-17647068515],[79,8841739916],[80,6880392497],[81,10321233184],[82,-16679484743],[83,-4656961827],[84,-7863394738],[85,-1950356627],[86,-5850718533],[87,-4774470772],[88,-2499654375],[89,7274125147],[90,3409586097],[91,-10321233184],[92,6911647087],[93,13540564817],[94,-18770986814],[95,-3286908171],[96,307486072],[97,5877067888],[98,4178443389],[99,-35271809072],[100,2712235864],[101,28284055882],[102,-8946995329],[103,8946995329],[104,-16200087752],[105,9518330867],[106,7129638805],[107,4690190842],[108,275665505],[109,-8286748311],[110,3320891964],[111,-307486072],[112,307486072],[114,1069922175],[115,8055859629],[116,-7327396325],[117,-3453370904],[118,-74297494],[119,7094183191],[120,-3566514793],[121,-5877067888],[122,-160911774],[123,6037979662],[124,15756559872],[125,-15756559872],[126,-15756559872],[127,-23786556508],[128,21951864896],[129,17591251484],[130,-3221923954],[131,-12442545944],[132,15664469898],[133,12681534598],[134,-5407409451],[136,-6414624475],[137,-6424964943],[138,-18642794738],[139,23385039616],[140,1557080083],[141,-2305797540],[142,748717457],[143,-307486072],[144,74297494],[145,2453317863],[146,-2453317863],[147,-2325288222],[148,7153428247],[149,-9518330867],[150,15597650669],[151,5769021854],[152,-15959263072],[153,-447881920],[154,2328322686],[155,-1880440766]],\"full_generator_prime_valuations\":[]},{\"retained_generator_index\":4,\"compact_full_generator\":[[2,267155068512429],[3,-63666027484323],[4,63666027484323],[5,407549208277440],[6,-372938067883639],[7,105782999371210],[8,-140394139765011],[9,161334826649889],[10,-238109677415393],[11,364298210058054],[12,-231347951253040],[13,227094771060798],[14,91653302882307],[15,-318748073943105],[16,133418024880910],[17,-252915655373193],[18,286342438430740],[19,152681558025620],[20,182662192593364],[21,-459838674131516],[22,19763016463926],[23,-1494679517075],[24,-89916581789199],[25,298503847481627],[26,-140394139765011],[27,-186785315386757],[28,28675607670141],[29,-239806832092012],[30,239806832092012],[31,353119347572281],[32,-136328159704566],[33,71648244842348],[34,-288439432710063],[35,-395830365924225],[36,395830365924225],[37,372938067883639],[38,-372938067883639],[39,130327156213660],[40,37976527322660],[41,-168303683536320],[42,596786319350978],[43,-489794837713507],[44,225576063885383],[45,186006924442776],[46,-120846217441378],[47,-63666027484323],[48,-55355039583022],[49,-7455788362866],[50,-162765235939495],[51,42116971886887],[52,-42116971886887],[53,-209006558183479],[54,120328910552448],[55,176388457156197],[56,-159359054367514],[57,26647870075262],[58,-186006924442776],[59,-166844807938457],[60,-66971384121780],[61,209006558183479],[62,-142035174061699],[63,28675607670141],[64,-120328910552448],[65,239882419764206],[66,142035174061699],[67,-615490488685866],[68,-280788279530028],[69,140394139765017],[70,140394139765011],[71,-326203862305971],[72,7455788362866],[73,318748073943105],[74,-267155068512429],[75,27348236420417],[76,-362086627830466],[77,15469101811619],[78,694668365977583],[79,-348050839958736],[80,-270843342024591],[81,-406290381001274],[82,656579896050203],[83,183319062915157],[84,309538752494592],[85,76774850765504],[86,230310721554210],[87,187944745982714],[88,98397692448026],[89,-286342438430740],[90,-134216717110278],[91,406290381001274],[92,-272073663890996],[93,-533017822613258],[94,738910869314488],[95,129387559540273],[96,-12104041363630],[97,-231347951253040],[98,-164482414671185],[99,1388457802629297],[100,-106765860508350],[101,-1113388258584627],[102,352194168694418],[103,-352194168694418],[104,637708664025787],[105,-374684517409741],[106,-280654803025827],[107,-184627107054705],[108,-10851440053173],[109,326203862305971],[110,-130725315198093],[111,12104041363630],[112,-12104041363636],[113,6],[114,-42116971886887],[115,-317115040380204],[116,288439432710063],[117,135940284987848],[118,2924685123200],[119,-279259109876059],[120,140394139765011],[121,231347951253040],[122,6334214600580],[123,-237682165853620],[124,-620249402285766],[125,620249402285766],[126,620249402303109],[127,936346358407095],[128,-864124605370689],[129,-692471155339515],[130,126829487100799],[131,489794837713507],[132,-616624324814306],[133,-499202511159747],[134,212860072729013],[135,-6],[136,252508607782753],[137,252915655373193],[138,733864649823586],[139,-920540839036427],[140,-61293708697423],[141,90766611356232],[142,-29472902658809],[143,12104041363636],[144,-2924685123200],[145,-96573677922691],[146,96573677922691],[147,91533852688298],[148,-281591263043334],[149,374684517409741],[150,-613994017959744],[151,-227094771060798],[152,628228716291529],[153,17630656409781],[154,-91653302882307],[155,74022646472526],[156,-6],[157,6],[158,3],[159,-6]],\"full_generator_prime_valuations\":[]},{\"retained_generator_index\":5,\"compact_full_generator\":[[2,-623372465730510],[3,148556599570269],[4,-148556599570269],[5,-950964382914582],[6,870203676972652],[7,-246831211242142],[8,327591917184072],[9,-376454353858785],[10,555598729798474],[11,-850043664638672],[12,539821099473544],[13,-529896842979378],[14,-213861356732713],[15,743758199712091],[16,-311314037970566],[17,590146601334274],[18,-668143759659019],[19,-356263049127136],[20,-426219057069357],[21,1072975218953316],[22,-46114492126197],[23,3487645064060],[24,209808938352163],[25,-696520865094531],[26,327591917184072],[27,435839841120126],[28,-66910893209667],[29,559558824964854],[30,-559558824964854],[31,-823959206984093],[32,318104468452503],[33,-167182091290026],[34,673036829821616],[35,923619950731778],[36,-923619950731778],[37,-870203676972652],[38,870203676972652],[39,-304101887989353],[40,-88613409465997],[41,392715297455350],[42,-1392525178277674],[43,1142874126954245],[44,-526353132422311],[45,-434023564585478],[46,281979319951149],[47,148556599570269],[48,129163963489889],[49,17397136433174],[50,379792032499248],[51,-98274611671873],[52,98274611671873],[53,487690292586087],[54,-280772249942380],[55,-411580091203635],[56,371844139849954],[57,-62179424735524],[58,434023564585478],[59,389311196295311],[60,156269230023748],[61,-487690292586087],[62,331421062562339],[63,-66910893209667],[64,280772249942380],[65,-559735199210182],[66,-331421062562339],[67,1436168984935186],[68,655183834368158],[69,-327591917184086],[70,-327591917184072],[71,761155336145265],[72,-17397136433174],[73,-743758199712091],[74,623372465730510],[75,-63813640765656],[76,844883218033433],[77,-36095186936335],[78,-1620920518467662],[79,812132487370564],[80,631978584140940],[81,948027069138573],[82,-1532045905132640],[83,-427751780646121],[84,-722269416246254],[85,-179144375939689],[86,-537400855536235],[87,-438545225350603],[88,-229598534308416],[89,668143759659019],[90,313177684979598],[91,-948027069138573],[92,634849384158975],[93,1243729479702071],[94,-1724154788170219],[95,-301909458332888],[96,28243245213965],[97,539821099473544],[98,383798851258234],[99,-3239790166839090],[100,249124593036998],[101,2597950276346742],[102,-821800419424693],[103,821800419424693],[104,-1488012278879785],[105,874278795417613],[106,654872383876113],[107,430803935730039],[108,25320458939219],[109,-761155336145265],[110,305030941476007],[111,-28243245213965],[112,28243245213979],[113,-14],[114,98274611671873],[115,739947723031283],[116,-673036829821616],[117,-317199412000078],[118,-6824381760325],[119,651615710944475],[120,-327591917184072],[121,-539821099473544],[122,-14780086322210],[123,554601185795754],[124,1447273306187584],[125,-1447273306187584],[126,-1447273306228051],[127,-2184845458737235],[128,2016325158821644],[129,1615793606143642],[130,-295940520767933],[131,-1142874126954245],[132,1438814647722178],[133,1164825739647295],[134,-496681979988290],[135,14],[136,-589196807412957],[137,-590146601334274],[138,-1712380075063797],[139,2147965284098937],[140,143021094592119],[141,-211792374526875],[142,68771279934756],[143,-28243245213979],[144,6824381760325],[145,225342427776291],[146,-225342427776291],[147,-213582634856367],[148,657057494543941],[149,-874278795417613],[150,1432677160312017],[151,529896842979378],[152,-1465892023303105],[153,-41138900413941],[154,213861356732713],[155,-172722456318772],[156,14],[157,-14],[158,-7],[159,14]],\"full_generator_prime_valuations\":[]},{\"retained_generator_index\":6,\"compact_full_generator\":[[2,534307462650578],[3,-127331417635476],[4,127331417635476],[5,815094336755359],[6,-745872402444970],[7,211564939794392],[8,-280786874104781],[9,322668038246343],[10,-476216971217400],[11,728592773283695],[12,-462693586581422],[13,454187268773693],[14,183305688262889],[15,-637492957036582],[16,266834714171461],[17,-505828778916736],[18,572682010410706],[19,305361587621951],[20,365322556634222],[21,-919672745016197],[22,39525835088809],[23,-2989344071558],[24,-179832263462240],[25,597004706769854],[26,-280786874104781],[27,-373568760946202],[28,57350928281129],[29,-479611263581155],[30,479611263581155],[31,706235160218924],[32,-272654954686666],[33,143295772444989],[34,-576875977977247],[35,-791656769361211],[36,791656769361211],[37,745872402444970],[38,-745872402444970],[39,260653007778314],[40,75952674478666],[41,-336605682256980],[42,1193566664531251],[43,-979584772301933],[44,451149869625987],[45,372011986850377],[46,-241691225143343],[47,-127331417635476],[48,-110709525030594],[49,-14911502089048],[50,-325528842506345],[51,84233522158916],[52,-84233522158916],[53,-418011024092359],[54,240656616544018],[55,352775148563551],[56,-318716513460199],[57,53295473390178],[58,-372011986850377],[59,-333687945665431],[60,-133942097821888],[61,418011024092359],[62,-284068926270471],[63,57350928281129],[64,-240656616544018],[65,479762438168865],[66,284068926270471],[67,-1230974815961650],[68,-561573748209574],[69,280786874104793],[70,280786874104781],[71,-652404459125630],[72,14911502089048],[73,637492957036582],[74,-534307462650578],[75,54696199069423],[76,-724169630967715],[77,30938048768726],[78,1389329777929469],[79,-696098195730480],[80,-541683972753184],[81,-812576694804605],[82,1313153219361970],[83,366636290702164],[84,619074406330106],[85,153548932971057],[86,460619137567021],[87,375887610531557],[88,196794399879149],[89,-572682010410706],[90,-268432090634833],[91,812576694804605],[92,-544144604169772],[93,-1066030309414757],[94,1477814341710641],[95,258773823837437],[96,-24207961558918],[97,-462693586581422],[98,-328963182779789],[99,2776901706005785],[100,-213530652229675],[101,-2226765371519130],[102,704384811724765],[103,-704384811724765],[104,1275410944224913],[105,-749365284014221],[106,-561306796537348],[107,-369252365886994],[108,-21702771477255],[109,652404459125630],[110,-261449321761381],[111,24207961558918],[112,-24207961558930],[113,12],[114,-84233522158916],[115,-634226906258376],[116,576875977977247],[117,271879209136077],[118,5849340968638],[119,-558515424209496],[120,280786874104781],[121,462693586581422],[122,12668365792066],[123,-475361952373488],[124,-1240492595522015],[125,1240492595522015],[126,1240492595556701],[127,1872683343454244],[128,-1728240560362283],[129,-1384935378648662],[130,253657704566251],[131,979584772301933],[132,-1233242476868184],[133,-998400025018248],[134,425718014607554],[135,-12],[136,505014687810633],[137,505828778916736],[138,1467721953244366],[139,-1841072462935153],[140,-122586803809937],[141,181532314087027],[142,-58945510277090],[143,24207961558930],[144,-5849340968638],[145,-193146389087904],[146,193146389087904],[147,183066789070638],[148,-563179707197865],[149,749365284014221],[150,-1227981889489930],[151,-454187268773693],[152,1256451143656069],[153,35261136326656],[154,-183305688262889],[155,148044551936233],[156,-12],[157,12],[158,6],[159,-12]],\"full_generator_prime_valuations\":[]},{\"retained_generator_index\":7,\"compact_full_generator\":[[2,89063935183142],[3,-21224927443097],[4,21224927443097],[5,135868417066076],[6,-124329783785366],[7,35265848602224],[8,-46804481882934],[9,53785670710047],[10,-79380806787190],[11,121449435148694],[12,-77126588126831],[13,75708666441598],[14,30555302104819],[15,-106263968546417],[16,44478790488316],[17,-84316811439839],[18,95460604654005],[19,50900851192432],[20,60895770281032],[21,-153300635827714],[22,6588578038842],[23,-498295017832],[24,-29976315467099],[25,99514965117667],[26,-46804481882934],[27,-62270333538497],[28,9559850303764],[29,-79946602805793],[30,79946602805793],[31,117722635244063],[32,-45448968822390],[33,23886032446089],[34,-96159698867762],[35,-131961599121054],[36,131961599121054],[37,124329783785366],[38,-124329783785366],[39,43448359255354],[40,12660583184066],[41,-56108942439420],[42,198956128217305],[43,-163287396799377],[44,75202361102954],[45,62010834211129],[46,-40287611750200],[47,-21224927443097],[48,-18454217189045],[49,-2485604541164],[50,-54262539372745],[51,14040921159127],[52,-14040921159127],[53,-69678433033507],[54,40115152408583],[55,58804237563934],[56,-53126989385099],[57,8883844826030],[58,-62010834211129],[59,-55622583702482],[60,-22326864497688],[61,69678433033507],[62,-47351568535819],[63,9559850303764],[64,-40115152408583],[65,79971802161266],[66,47351568535819],[67,-205191708678396],[68,-93608963765870],[69,46804481882936],[70,46804481882934],[71,-108749573087581],[72,2485604541164],[73,106263968546417],[74,-89063935183142],[75,9117332377349],[76,-120712139699776],[77,5157076333095],[78,231587963745965],[79,-116032900379284],[80,-90293528747861],[81,-135448750272722],[82,218890061229175],[83,61114757164153],[84,103193772599402],[85,25595136077143],[86,76780797350033],[87,62656863549037],[88,32803741104968],[89,-95460604654005],[90,-44745057841370],[91,135448750272722],[92,-90703692431352],[93,-177697039659492],[94,246337492817151],[95,43135117295607],[96,-4035235271661],[97,-77126588126831],[98,-54835010994223],[99,462882910762185],[100,-35593514033015],[101,-371180454289750],[102,117414199877031],[103,-117414199877031],[104,212598785547200],[105,-124912013680009],[106,-93564465479596],[107,-61550831834608],[108,-3617644085590],[109,108749573087581],[110,-43581097167383],[111,4035235271661],[112,-4035235271663],[113,2],[114,-14040921159127],[115,-105719549171526],[116,96159698867762],[117,45319659471002],[118,975029100867],[119,-93099170454803],[120,46804481882934],[121,77126588126831],[122,2111695210440],[123,-79238283337271],[124,-206778231347661],[125,206778231347661],[126,206778231353442],[127,312158372433281],[128,-288081144301081],[129,-230855459485642],[130,42282309227201],[131,163287396799377],[132,-205569706026578],[133,-166423719170895],[134,70963114516892],[135,-2],[136,84181110251714],[137,84316811439839],[138,244655188348214],[139,-306889141493350],[140,-20434045773337],[141,30259697619208],[142,-9825651845871],[143,4035235271663],[144,-975029100867],[145,-32195652655207],[146,32195652655207],[147,30515479898202],[148,-93876661743603],[149,124912013680009],[150,-204692816508776],[151,-75708666441598],[152,209438368433482],[153,5877693612405],[154,-30555302104819],[155,24677608492414],[156,-2],[157,2],[158,1],[159,-2]],\"full_generator_prime_valuations\":[]},{\"retained_generator_index\":8,\"compact_full_generator\":[[2,89037226386889],[3,-21218562439559],[4,21218562439559],[5,135827672382370],[6,-124292499346310],[7,35255272959421],[8,-46790445995481],[9,53769541279907],[10,-79357001800462],[11,121413014478400],[12,-77103459142875],[13,75685962668824],[14,30546139076745],[15,-106232101745569],[16,44465452037121],[17,-84291526227225],[18,95431977602721],[19,50885586871796],[20,60877508650015],[21,-153254663510865],[22,6586602233619],[23,-498145587425],[24,-29967326067511],[25,99485122230958],[26,-46790445995481],[27,-62251659698769],[28,9556983463292],[29,-79922628146229],[30,79922628146229],[31,117687332179217],[32,-45435339430809],[33,23878869421317],[34,-96130862169725],[35,-131922026027219],[36,131922026027219],[37,124292499346310],[38,-124292499346310],[39,43435329813386],[40,12656786485255],[41,-56092116298641],[42,198896464575888],[43,-163238429618632],[44,75179809162751],[45,61992238190944],[46,-40275530163960],[47,-21218562439559],[48,-18448683075535],[49,-2484859149608],[50,-54246266937608],[51,14036710519862],[52,-14036710519862],[53,-69657537627668],[54,40103122540037],[55,58786603148874],[56,-53111057482560],[57,8881180708384],[58,-61992238190944],[59,-55605903412617],[60,-22320169041513],[61,69657537627668],[62,-47337368586155],[63,9556983463292],[64,-40103122540037],[65,79947819944828],[66,47337368586155],[67,-205130175089867],[68,-93580891990964],[69,46790445995483],[70,46790445995481],[71,-108716960895177],[72,2484859149608],[73,106232101745569],[74,-89037226386889],[75,9114598240660],[76,-120675940132150],[77,5155529811476],[78,231518514358557],[79,-115998104037883],[80,-90266451216901],[81,-135408131440121],[82,218824419732024],[83,61096429862606],[84,103162826499374],[85,25587460520555],[86,76757772062992],[87,62638073795371],[88,32793903807350],[89,-95431977602721],[90,-44731639541014],[91,135408131440121],[92,-90676491899107],[93,-177643751265963],[94,246263620290722],[95,43122181789706],[96,-4034025171563],[97,-77103459142875],[98,-54818566884344],[99,462744099858230],[100,-35582840128787],[101,-371069143430802],[102,117378989306835],[103,-117378989306835],[104,212535030699231],[105,-124874554639869],[106,-93536407048985],[107,-61532373761501],[108,-3616559214160],[109,108716960895177],[110,-43568027919516],[111,4034025171563],[112,-4034025171565],[113,2],[114,-14036710519862],[115,-105687845633017],[116,96130862169725],[117,45306068857152],[118,974736705819],[119,-93071251558452],[120,46790445995481],[121,77103459142875],[122,2111061948085],[123,-79214521090960],[124,-206716221987308],[125,206716221987308],[126,206716221993089],[127,312064761317273],[128,-287994753546257],[129,-230786229764105],[130,42269629464289],[131,163238429618632],[132,-205508059082921],[133,-166373811459115],[134,70941833856396],[135,-2],[136,84155865733630],[137,84291526227225],[138,244581820316978],[139,-306797110532264],[140,-20427917942086],[141,30250623238015],[142,-9822705295929],[143,4034025171565],[144,-974736705819],[145,-32185997713224],[146,32185997713224],[147,30506328812149],[148,-93848509690517],[149,124874554639869],[150,-204631432529732],[151,-75685962668824],[152,209375561342160],[153,5875930989623],[154,-30546139076745],[155,24670208087122],[156,-2],[157,2],[158,1],[159,-2]],\"full_generator_prime_valuations\":[]},{\"retained_generator_index\":9,\"compact_full_generator\":[[2,-89041300512815],[3,21219533349131],[4,-21219533349131],[5,-135833887524777],[6,124298186667384],[7,-35256886154569],[8,46792587011962],[9,-53772001642736],[10,79360632982964],[11,-121418570041282],[12,77106987208771],[13,-75689425873545],[14,-30547536793433],[15,106236962666978],[16,-44467486667559],[17,84295383201507],[18,-95436344336838],[19,-50887915271917],[20,-60880294256063],[21,153261676069806],[22,-6586903620444],[23,498168381350],[24,29968697299130],[25,-99489674427070],[26,46792587011962],[27,62254508182612],[28,-9557420767504],[29,79926285210410],[30,-79926285210410],[31,-117692717263981],[32,45437418440925],[33,-23879962060036],[34,96135260883092],[35,131928062456792],[36,-131928062456792],[37,-124298186667384],[38,124298186667384],[39,-43437317307948],[40,-12657365628880],[41,56094682936828],[42,-198905565592124],[43,163245899010315],[44,-75183249207124],[45,-61995074804292],[46,40277373073811],[47,21219533349131],[48,18449527242195],[49,2484972850691],[50,54248749114238],[51,-14037352805438],[52,14037352805438],[53,69660724986389],[54,-40104957560937],[55,-58789293080195],[56,53113487714779],[57,-8881587089513],[58,61995074804292],[59,55608447802890],[60,22321190357912],[61,-69660724986389],[62,47339534628477],[63,-9557420767504],[64,40104957560937],[65,-79951478161726],[66,-47339534628477],[67,205139561345465],[68,93585174023926],[69,-46792587011964],[70,-46792587011962],[71,108721935517669],[72,-2484972850691],[73,-106236962666978],[74,89041300512815],[75,-9115015302405],[76,120681461968311],[77,-5155765715923],[78,-231529108080083],[79,116003411827695],[80,90270581589152],[81,135414327385360],[82,-218834432602797],[83,-61099225485953],[84,-103167546978247],[85,-25588631340228],[86,-76761284311092],[87,-62640939960578],[88,-32795404376260],[89,95436344336838],[90,44733686351542],[91,-135414327385360],[92,90680641033818],[93,177651879809967],[94,-246274888712267],[95,-43124154955380],[96,4034209758698],[97,77106987208771],[98,54821075248021],[99,-462765273897571],[100,35584468312608],[101,371086122648135],[102,-117384360282582],[103,117384360282582],[104,-212544755782928],[105,124880268594371],[106,93540687046425],[107,61535189332576],[108,3616724699073],[109,-108721935517669],[110,43570021486020],[111,-4034209758698],[112,4034209758700],[113,-2],[114,14037352805438],[115,105692681650596],[116,-96135260883092],[117,-45308141952162],[118,-974781307389],[119,93075510271513],[120,-46792587011962],[121,-77106987208771],[122,-2111158545122],[123,79218145753893],[124,206725680816537],[125,-206725680816537],[126,-206725680822318],[127,-312079040638253],[128,288007931482494],[129,230796789978077],[130,-42271563619252],[131,-163245899010315],[132,205517462629567],[133,166381424318210],[134,-70945079981374],[135,2],[136,-84159716500420],[137,-84295383201507],[138,-244593011783466],[139,306811148818415],[140,20428852673698],[141,-30252007432620],[142,9823154758922],[143,-4034209758700],[144,974781307389],[145,32187470465836],[146,-32187470465836],[147,-30507724707216],[148,93852803969011],[149,-124880268594371],[150,204640795964089],[151,75689425873545],[152,-209385141856260],[153,-5876199857868],[154,30547536793433],[155,-24671336935565],[156,2],[157,-2],[158,-1],[159,2]],\"full_generator_prime_valuations\":[]},{\"retained_generator_index\":10,\"compact_full_generator\":[[2,267155179908749],[3,-63666054031306],[4,63666054031306],[5,407549378214257],[6,-372938223388562],[7,105783043479813],[8,-140394198305508],[9,161334893922077],[10,-238109776700583],[11,364298361960393],[12,-231348047718776],[13,227094865753075],[14,91653341099215],[15,-318748206852290],[16,133418080512559],[17,-252915760832069],[18,286342557827666],[19,152681621689633],[20,182662268758477],[21,-459838865871603],[22,19763024704560],[23,-1494680140315],[24,-89916619281942],[25,298503971949526],[26,-140394198305508],[27,-186785393271099],[28,28675619627081],[29,-239806932084869],[30,239806932084869],[31,353119494813342],[32,-136328216549661],[33,71648274717697],[34,-288439552981378],[35,-395830530974607],[36,395830530974607],[37,372938223388562],[38,-372938223388562],[39,130327210556502],[40,37976543157828],[41,-168303753714330],[42,596786568194468],[43,-489795041944491],[44,225576157944401],[45,186007002002550],[46,-120846267830929],[47,-63666054031306],[48,-55355062664552],[49,-7455791471725],[50,-162765303808124],[51,42116989448507],[52,-42116989448507],[53,-209006645333469],[54,120328960726296],[55,176388530705335],[56,-159359120815859],[57,26647881186691],[58,-186007002002550],[59,-166844877508156],[60,-66971412047006],[61,209006645333469],[62,-142035233286463],[63,28675619627081],[64,-120328960726296],[65,239882519788581],[66,142035233286463],[67,-615490745328481],[68,-280788396611022],[69,140394198305514],[70,140394198305508],[71,-326203998324015],[72,7455791471725],[73,318748206852290],[74,-267155179908749],[75,27348247823880],[76,-362086778810637],[77,15469108261810],[78,694668655635196],[79,-348050985086369],[80,-270843454958819],[81,-406290550413195],[82,656580169825972],[83,183319139354166],[84,309538881563743],[85,76774882778506],[86,230310817587450],[87,187944824350507],[88,98397733477159],[89,-286342557827666],[90,-134216773074960],[91,406290550413195],[92,-272073777338235],[93,-533018044867038],[94,738911177420009],[95,129387613491329],[96,-12104046410682],[97,-231348047718776],[98,-164482483255831],[99,1388458381578034],[100,-106765905026779],[101,-1113388722836925],[102,352194315549705],[103,-352194315549705],[104,637708929932771],[105,-374684673642885],[106,-280654920051166],[107,-184627184039134],[108,-10851444577925],[109,326203998324015],[110,-130725369706956],[111,12104046410682],[112,-12104046410688],[113,6],[114,-42116989448507],[115,-317115172608459],[116,288439552981378],[117,135940341671210],[118,2924686342713],[119,-279259226319431],[120,140394198305508],[121,231348047718776],[122,6334217241774],[123,-237682264960550],[124,-620249660912717],[125,620249660912717],[126,620249660930060],[127,936346748837789],[128,-864124965686897],[129,-692471444080952],[130,126829539985208],[131,489795041944491],[132,-616624581929699],[133,-499202719313472],[134,212860161485812],[135,-6],[136,252508713071901],[137,252915760832069],[138,733864955824972],[139,-920541222876652],[140,-61293734255215],[141,90766649203414],[142,-29472914948199],[143,12104046410688],[144,-2924686342713],[145,-96573718191260],[146,96573718191260],[147,91533890855399],[148,-281591380459150],[149,374684673642885],[150,-613994273978372],[151,-227094865753075],[152,628228978245635],[153,17630663761280],[154,-91653341099215],[155,74022677337935],[156,-6],[157,6],[158,3],[159,-6]],\"full_generator_prime_valuations\":[]},{\"retained_generator_index\":11,\"compact_full_generator\":[[2,-8081504476],[3,1925912501],[4,-1925912501],[5,-12328460655],[6,11281465412],[7,-3199960936],[8,4246956179],[9,-4880416947],[10,7202874475],[11,-11020107654],[12,6998330648],[13,-6869670933],[14,-2772534251],[15,9642205184],[16,-4035927040],[17,7650758835],[18,-8661926989],[19,-4618653508],[20,-5525574849],[21,13910229457],[22,-597835957],[23,45214411],[24,2719998024],[25,-9029812510],[26,4246956179],[27,5650300295],[28,-867443964],[29,7254213808],[30,-7254213808],[31,-10681944400],[32,4123959313],[33,-2167376478],[34,8725361565],[35,11973962882],[36,-11973962882],[37,-11281465412],[38,11281465412],[39,-3942427529],[40,-1148799001],[41,5091226530],[42,-18052928355],[43,14816410543],[44,-6823729678],[45,-5626753783],[46,3655626871],[47,1925912501],[48,1674503136],[49,225539374],[50,4923687168],[51,-1274048435],[52,1274048435],[53,6322498185],[54,-3639978215],[55,-5335792856],[56,4820649364],[57,-806104419],[58,5626753783],[59,5047095194],[60,2025900328],[61,-6322498185],[62,4296597857],[63,-867443964],[64,3639978215],[65,-7256500355],[66,-4296597857],[67,18618733933],[68,8493912358],[69,-4246956179],[70,-4246956179],[71,9867744558],[72,-225539374],[73,-9642205184],[74,8081504476],[75,-827290668],[76,10953206765],[77,-467944016],[78,-21013883586],[79,10528620837],[80,8193075629],[81,12290380830],[82,-19861698297],[83,-5545445330],[84,-9363621015],[85,-2322457528],[86,-6966954203],[87,-5685373347],[88,-2976553642],[89,8661926989],[90,4060087671],[91,-12290380830],[92,8230293159],[93,16123916134],[94,-22352229854],[95,-3914004505],[96,366150135],[97,6998330648],[98,4975632234],[99,-42001179348],[100,3229692718],[101,33680260100],[102,-10653957519],[103,10653957519],[104,-19290839030],[105,11334295925],[106,8489874663],[107,5585013978],[108,328258647],[109,-9867744558],[110,3954471933],[111,-366150135],[112,366150135],[114,1274048435],[115,9592805529],[116,-8725361565],[117,-4112226010],[118,-88472422],[119,8447654611],[120,-4246956179],[121,-6998330648],[122,-191611501],[123,7189942149],[124,18762692204],[125,-18762692204],[126,-18762692204],[127,-28324700443],[128,26139975204],[129,20947417443],[130,-3836622203],[131,-14816410543],[132,18653032746],[133,15100994906],[134,-6439067917],[136,-7638445549],[137,-7650758835],[138,-22199580512],[139,27846579712],[140,1854149293],[141,-2745711620],[142,891562327],[143,-366150135],[144,88472422],[145,2921376767],[146,-2921376767],[147,-2768920852],[148,8518202799],[149,-11334295925],[150,18573465336],[151,6869670933],[152,-19004068352],[153,-533331558],[154,2772534251],[155,-2239202693]],\"full_generator_prime_valuations\":[]},{\"retained_generator_index\":12,\"compact_full_generator\":[[2,89054677253805],[3,-21222721175452],[4,21222721175452],[5,135854293951015],[6,-124316860076678],[7,35262182822873],[8,-46799616697210],[9,53780079850650],[10,-79372555390049],[11,121436810843623],[12,-77118571048971],[13,75700796752450],[14,30552125972670],[15,-106252922725120],[16,44474167051249],[17,-84308046959799],[18,95450681810031],[19,50895560201386],[20,60889440348079],[21,-153284700685716],[22,6587893175887],[23,-498243221558],[24,-29973199518878],[25,99504620835066],[26,-46799616697210],[27,-62263860723810],[28,9558856585954],[29,-79938292595852],[30,79938292595852],[31,117710398328680],[32,-45444244538189],[33,23883549564549],[34,-96149703355040],[35,-131947882108018],[36,131947882108018],[37,124316860076678],[38,-124316860076678],[39,43443842928526],[40,12659267154358],[41,-56103110082884],[42,198935447323600],[43,-163270423563484],[44,75194544042731],[45,62004388370620],[46,-40283423973610],[47,-21222721175452],[48,-18452298928434],[49,-2485346170016],[50,-54256898944281],[51,14039461647421],[52,-14039461647421],[53,-69671190169062],[54,40110982558624],[55,58798125039544],[56,-53121466993655],[57,8882921376965],[58,-62004388370620],[59,-55616801901481],[60,-22324543686986],[61,69671190169062],[62,-47346646482076],[63,9558856585954],[64,-40110982558624],[65,79963489331924],[66,47346646482076],[67,-205170379614777],[68,-93599233394422],[69,46799616697212],[70,46799616697210],[71,-108738268895136],[72,2485346170016],[73,106252922725120],[74,-89054677253805],[75,9116384657953],[76,-120699592034356],[77,5156540270454],[78,231563890870682],[79,-116020839106780],[80,-90284143005955],[81,-135434670780767],[82,218867308262833],[83,61108404468170],[84,103183045915781],[85,25592475539399],[86,76772816216088],[87,62650350555712],[88,32800331254319],[89,-95450681810031],[90,-44740406726609],[91,135434670780767],[92,-90694264054158],[93,-177678568584378],[94,246311886772491],[95,43130633529345],[96,-4034815821040],[97,-77118571048971],[98,-54829311059047],[99,462834795469834],[100,-35589814193826],[101,-371141871193124],[102,117401995022581],[103,-117401995022581],[104,212576686540124],[105,-124899029450268],[106,-93554739733611],[107,-61544433809968],[108,-3617268042322],[109,108738268895136],[110,-43576567042846],[111,4034815821040],[112,-4034815821042],[113,2],[114,-14039461647421],[115,-105708559940994],[116,96149703355040],[117,45314948628122],[118,974927749513],[119,-93089493074845],[120,46799616697210],[121,77118571048971],[122,2111475706045],[123,-79230046755016],[124,-206756737369761],[125,206756737369761],[126,206756737375542],[127,312125924505303],[128,-288051199128862],[129,-230831462751983],[130,42277914107784],[131,163270423563484],[132,-205548337671268],[133,-166406419923685],[134,70955738113656],[135,-2],[136,84172359877404],[137,84308046959799],[138,244629757174066],[139,-306857241286149],[140,-20431921715472],[141,30256552214261],[142,-9824630498789],[143,4034815821042],[144,-974927749513],[145,-32192306013532],[146,32192306013532],[147,30512307905453],[148,-93866903545753],[149,124899029450268],[150,-204671539303505],[151,-75700796752450],[152,209416597942299],[153,5877082643755],[154,-30552125972670],[155,24675043328915],[156,-2],[157,2],[158,1],[159,-2]],\"full_generator_prime_valuations\":[]},{\"retained_generator_index\":13,\"compact_full_generator\":[[2,534328194590811],[3,-127336358287677],[4,127336358287677],[5,815125963652334],[6,-745901343425868],[7,211573148835057],[8,-280797769061523],[9,322680558255800],[10,-476235449158430],[11,728621043788762],[12,-462711539794608],[13,454204891928841],[14,183312800801717],[15,-637517692730558],[16,266845067763226],[17,-505848405840829],[18,572704231341618],[19,305373436114861],[20,365336731703710],[21,-919708429714088],[22,39527368751182],[23,-2989460062642],[24,-179839241226916],[25,597027871458288],[26,-280797769061523],[27,-373583255980928],[28,57353153584163],[29,-479629873225876],[30,479629873225876],[31,706262563214683],[32,-272665534112596],[33,143301332538376],[34,-576898361640463],[35,-791687486845010],[36,791687486845010],[37,745901343425868],[38,-745901343425868],[39,260663121510494],[40,75955621557678],[41,-336618743068172],[42,1193612976728788],[43,-979622781677384],[44,451167374925437],[45,372026421479906],[46,-241700603129587],[47,-127336358287677],[48,-110713820728139],[49,-14912080677953],[50,-325541473519345],[51,84236790547380],[52,-84236790547380],[53,-418027243554326],[54,240665954385880],[55,352788836774566],[56,-318728880144496],[57,53297541335410],[58,-372026421479906],[59,-333700893264015],[60,-133947294978512],[61,418027243554326],[62,-284079948575814],[63,57353153584163],[64,-240665954385880],[65,479781053679393],[66,284079948575814],[67,-1231022579652216],[68,-561595538123058],[69,280797769061535],[70,280797769061523],[71,-652429773408511],[72,14912080677953],[73,637517692730558],[74,-534328194590811],[75,54698321364935],[76,-724197729848151],[77,30939249211958],[78,1389383686032827],[79,-696125205396634],[80,-541704990913202],[81,-812608224013252],[82,1313204171699274],[83,366650516746525],[84,619098427356367],[85,153554890902630],[86,460637010288439],[87,375902195541164],[88,196802035800454],[89,-572704231341618],[90,-268442506207229],[91,812608224013252],[92,-544165717806023],[93,-1066071673008208],[94,1477871683149327],[95,258783864654428],[96,-24208900864555],[97,-462711539794608],[98,-328975947050402],[99,2777009454005254],[100,-213538937542961],[101,-2226851773394121],[102,704412142924195],[103,-704412142924195],[104,1275460432104676],[105,-749394360524221],[106,-561328576092702],[107,-369266693439041],[108,-21703613577717],[109,652429773408511],[110,-261459466391753],[111,24208900864555],[112,-24208900864567],[113,12],[114,-84236790547380],[115,-634251515224626],[116,576898361640463],[117,271889758461901],[118,5849567931942],[119,-558537095455366],[120,280797769061523],[121,462711539794608],[122,12668857343881],[123,-475380397138489],[124,-1240540728516873],[125,1240540728516873],[126,1240540728551559],[127,1872756006409320],[128,-1728307618718213],[129,-1384989116242666],[130,253667546870052],[131,979622781677384],[132,-1233290328547436],[133,-998438764454051],[134,425734533112445],[135,-12],[136,505034283146758],[137,505848405840829],[138,1467778903083069],[139,-1841143899340098],[140,-122591560363923],[141,181539357816245],[142,-58947797452322],[143,24208900864567],[144,-5849567931942],[145,-193153883460854],[146,193153883460854],[147,183073892339812],[148,-563201559424992],[149,749394360524221],[150,-1228029537050408],[151,-454204891928841],[152,1256499895866804],[153,35262504512247],[154,-183312800801717],[155,148050296289470],[156,-12],[157,12],[158,6],[159,-12]],\"full_generator_prime_valuations\":[]},{\"retained_generator_index\":14,\"compact_full_generator\":[[2,356229611551793],[3,-84893482897672],[4,84893482897672],[5,543433807793016],[6,-497282659823034],[7,141053048271241],[8,-187204196241223],[9,215126903439575],[10,-317499938761080],[11,485762110300207],[12,-308483725452281],[13,302812454694897],[14,122212244240780],[15,-425024698935677],[16,177902112963740],[17,-337242509268611],[18,381814412808831],[19,203588471704624],[20,243565215794159],[21,-613157568652834],[22,26352379227678],[23,-1993033883754],[24,-119896467550424],[25,398030665213259],[26,-187204196241223],[27,-249063065560772],[28,38236596588736],[29,-319762956844778],[30,319762956844778],[31,470856004033644],[32,-181782541673431],[33,95537122206500],[34,-384610584566713],[35,-527807682177780],[36,527807682177780],[37,497282659823034],[38,-497282659823034],[39,173780690335217],[40,50638618430734],[41,-224419308765951],[42,795766144006110],[43,-653101682668017],[44,300787381877931],[45,248025144382058],[46,-161138627600632],[47,-84893482897672],[48,-73811454740103],[49,-9941688949063],[50,-217034238188765],[51,56159565373569],[52,-56159565373569],[53,-278693290185563],[54,160448840829516],[55,235199698530327],[56,-212492371380780],[57,35532773001278],[58,-248025144382058],[59,-222474016503960],[60,-89300907834648],[61,278693290185563],[62,-189392382350915],[63,38236596588736],[64,-160448840829516],[65,319863746873785],[66,189392382350915],[67,-820706636483635],[68,-374408392482454],[69,187204196241231],[70,187204196241223],[71,-434966387884740],[72,9941688949063],[73,425024698935677],[74,-356229611551793],[75,36466654707015],[76,-482813144808988],[77,20626792372283],[78,926283912738123],[79,-464097560301418],[80,-361147625077984],[81,-541755263739572],[82,875496027925070],[83,244441099081251],[84,412744815868038],[85,102373035321505],[86,307100663791647],[87,250609072204476],[88,131205340604355],[89,-381814412808831],[90,-178967104259625],[91,541755263739572],[92,-362788159479947],[93,-710736026671605],[94,985277701871687],[95,172527814393763],[96,-16139757247286],[97,-308483725452281],[98,-219323956725499],[99,1851395844521214],[100,-142363613865381],[101,-1484612921889882],[102,469622353052913],[103,-469622353052913],[104,850332770903621],[105,-499611408589593],[106,-374230412392063],[107,-246185269829422],[108,-14469515014046],[109,434966387884740],[110,-174311603041272],[111,16139757247286],[112,-16139757247294],[113,8],[114,-56159565373569],[115,-422847181155449],[116,384610584566713],[117,181265342204084],[118,3899830353772],[119,-372369368799079],[120,187204196241223],[121,308483725452281],[122,8446161322018],[123,-316929886774299],[124,-827052261713734],[125,827052261713734],[126,827052261736858],[127,1248541910099599],[128,-1152240061240788],[129,-923354110595669],[130,169116832313173],[131,653101682668017],[132,-822218514981190],[133,-665646052033796],[134,283831639224973],[135,-8],[136,336699744327516],[137,337242509268611],[138,978548977542936],[139,-1227466532203386],[140,-81730188243972],[141,121029913021466],[142,-39299724777494],[143,16139757247294],[144,-3899830353772],[145,-128773165203594],[146,128773165203594],[147,122052967097176],[148,-375479105857347],[149,499611408589593],[150,-818711214167922],[151,-302812454694897],[152,837692029637846],[153,23509050078035],[154,-122212244240780],[155,98703194162745],[156,-8],[157,8],[158,4],[159,-8]],\"full_generator_prime_valuations\":[]},{\"retained_generator_index\":15,\"compact_full_generator\":[[2,356212595708739],[3,-84889427832807],[4,84889427832807],[5,543407849860031],[6,-497258906369027],[7,141046310660288],[8,-187195254151292],[9,215116627579547],[10,-317484772899084],[11,485738907142574],[12,-308468990263271],[13,302797990402661],[14,122206406589164],[15,-425004396991825],[16,177893615201806],[17,-337226400373050],[18,381796174869272],[19,203578746995139],[20,243553581535380],[21,-613128280259566],[22,26351120466658],[23,-1992938683494],[24,-119890740515363],[25,398011652680019],[26,-187195254151292],[27,-249051168688931],[28,38234770160204],[29,-319747682886320],[30,319747682886320],[31,470833512888588],[32,-181773858556981],[33,95532558732199],[34,-384592213063806],[35,-527782470650181],[36,527782470650181],[37,497258906369027],[38,-497258906369027],[39,173772389439230],[40,50636199600979],[41,-224408589040209],[42,795728133039653],[43,-653070486284080],[44,300773014316343],[45,248013297088084],[46,-161130930571783],[47,-84889427832807],[48,-73807929024977],[49,-9941214069341],[50,-217023871222025],[51,56156882827481],[52,-56156882827481],[53,-278679977981488],[54,160441176749368],[55,235188463863059],[56,-212482221363138],[57,35531075724946],[58,-248013297088084],[59,-222463389698028],[60,-89296642242504],[61,278679977981488],[62,-189383335738984],[63,38234770160204],[64,-160441176749368],[65,319848468100936],[66,189383335738984],[67,-820667434197051],[68,-374390508302592],[69,187195254151300],[70,187195254151292],[71,-434945611061166],[72,9941214069341],[73,425004396991825],[74,-356212595708739],[75,36464912822419],[76,-482790082513122],[77,20625807102527],[78,926239667394184],[79,-464075391983589],[80,-361130374318615],[81,-541729385984767],[82,875454208540818],[83,244429422984589],[84,412725100491267],[85,102368145319537],[86,307085994666655],[87,250597101485304],[88,131199073383968],[89,-381796174869272],[90,-178958555626780],[91,541729385984767],[92,-362770830357987],[93,-710702077296562],[94,985230638600701],[95,172519573343282],[96,-16138986307512],[97,-308468990263271],[98,-219313480386910],[99,1851307409814774],[100,-142356813653293],[101,-1484542007121272],[102,469599920835054],[103,-469599920835054],[104,850292153480177],[105,-499587543899397],[106,-374212536713687],[107,-246173510419818],[108,-14468823855905],[109,434945611061166],[110,-174303276785443],[111,16138986307512],[112,-16138986307520],[113,8],[114,-56156882827481],[115,-422826983224010],[116,384592213063806],[117,181256683792448],[118,3899644072511],[119,-372351582016251],[120,187195254151292],[121,308468990263271],[122,8445757878421],[123,-316914748141692],[124,-827012756318818],[125,827012756318818],[126,827012756341942],[127,1248482271617839],[128,-1152185022761649],[129,-923310005198132],[130,169108754193379],[131,653070486284080],[132,-822179240477459],[133,-665614256449195],[134,283818081579931],[135,-8],[136,336683661357934],[137,337226400373050],[138,978502235679585],[139,-1227407900418744],[140,-81726284278633],[141,121024131845680],[142,-39297847567047],[143,16138986307520],[144,-3899644072511],[145,-128767014159722],[146,128767014159722],[147,122047137053675],[148,-375461170533254],[149,499587543899397],[150,-818672107195688],[151,-302797990402661],[152,837652016018418],[153,23507927132907],[154,-122206406589164],[155,98698479456257],[156,-8],[157,8],[158,4],[159,-8]],\"full_generator_prime_valuations\":[]},{\"retained_generator_index\":16,\"compact_full_generator\":[[160,1]],\"full_generator_prime_valuations\":[]}]}}" }, { "path": "anc/code/1.1.9/data/classgroup_params.json", "size_bytes": 1570, "sha256": "0760588597d8da80bd960b9e5734e1c28ed1a19c606aa7d27327fc4ce18fd37f", "mode": 420, "encoding": "utf-8", "text": "{\n \"equation\": \"x^4+y^3+2x+y+1=0\",\n \"section\": \"1.1.9\",\n \"field\": \"K = Q[x]/(f), f = bitangent slope polynomial of C: u^3+u+z^4+2z+1 = 0 (bitangents y = m x + eta)\",\n \"polynomial\": \"x^27+480*x^19-2688*x^18+17280*x^15-34560*x^11-141312*x^10-162816*x^9-165888*x^7-221184*x^6-126976*x^3+49152*x-32768\",\n \"field_discriminant\": \"4150490676440774655225550489056357993175100440969216\",\n \"signature\": [3, 12],\n \"support\": 1000000000,\n \"principal_bound\": 13500000,\n \"window_heights\": [408793024, 491243997, 544552587, 587873012, 625517581, 659230448, 689998797, 719298923, 746973480, 777431181, 803638171, 826871741, 847186035, 866117160, 884078063, 900746931, 916208169, 929965716, 943689428, 953949889, 961102190, 965968223, 969965310, 973632453, 976685451, 979819940, 982387005, 984170232, 985976608, 987983676, 990077181, 992259981, 993917056, 995454952, 996691177, 997291590, 997726524, 997962151, 998446566, 998990994, 999158773, 999571088, 999831928, 999947892, 999976365, 1000000000, 999874762, 999887507, 999887507, 999874762, 1000000000, 999976365, 999947892, 999831928, 999571088, 999158773, 998990994, 998446566, 997962151, 997726524, 997291590, 996691177, 995454952, 993917056, 992259981, 990077181, 987983676, 985976608, 984170232, 982387005, 979819940, 976685451, 973632453, 969965310, 965968223, 961102190, 953949889, 943689428, 929965716, 916208169, 900746931, 884078063, 866117160, 847186035, 826871741, 803638171, 777431181, 746973480, 719298923, 689998797, 659230448, 625517581, 587873012, 544552587, 491243997, 408793024],\n \"precision_bits\": 288\n}\n" }, { "path": "anc/code/1.1.9/expected/1.1.9a.txt", "size_bytes": 1416, "sha256": "92ce0b11c56d9387290d950d5129cfbb03b36e8ec1b957e592f88dda9487b32d", "mode": 420, "encoding": "utf-8", "text": "transport F(z,u) == G(u,z): 1\nchart at O: W^4 + (2*Z + 1)*W^3 + W + Z^4; d/dW at (0,0) = 1 (unit in every characteristic)\nline W=0 meets C in: Z^4 (4-fold at O: hyperflex)\nG_u = (3*u^2 + 1), G_z = 4*z^3 + 2; 12G - 4u G_u - 3z G_z = 18*z + (8*u + 12) => value at a critical point = (4u+9z+6)/6\ncritical point check: [0, Mod(0, X^6 + 9*X^4 - 8*X^3 + 27*X^2 + 72*X + 43)]\ncritical value == (4u+9z+6)/6: 1\ncritical_value_norm = 12527563/5038848 = Mat([12527563, 1]) / [2, 8; 3, 9]\nnorm of the Hessian at the critical point = [2, 14; 3, 9] (unit away from 2,3)\n bad p = 12527563: prime of L with residue degree 1, valuation of critical value 1 -> 1 geometric node(s) of thickness 1\n node mod p: (u,z) = [4469046, 2189611]\np = 2: affine F_p-rational singular points List([[1, 1]])\np = 3: affine F_p-rational singular points List([])\np = 3: G_u = 3u^2+1 == 1 (mod 3), so C is smooth at 3\nRes_e factors (degree, multiplicity): [[27, 1]]\ndegree-27 factor == f: 1; f irreducible: 1; real roots: 3\nidentity F(x, m x+eta) = (x^2 + m^3 x/2 + 3 m^2 eta/2 - m^6/8)^2: 1\npoldisc(f) (trial division to 1e7): [2, 390; 3, 54; 7, 4; 496346126752074439095713217275104597, 2]\nnfcertify (empty = maximal order certified): []\nsignature [3, 12]; disc 4150490676440774655225550489056357993175100440969216 = [2, 30; 12527563, 6]\ndisc == 2^30 12527563^6: 1; isprime(12527563): 1\nprimes over 2 (e,f): [[1, 3], [8, 3]] (87 ms)\n" }, { "path": "anc/code/1.1.9/expected/1.1.9b_slice.txt", "size_bytes": 438, "sha256": "50994571d2503be7c96ae0baefde73c94cb1999e4e5745ff9230a91b66aa0bdc", "mode": 420, "encoding": "utf-8", "text": "# SHORT SLICE (rational primes p <= 10^6 of the full range [2, 10^9)):\n# python3 -I ../common/h31_classgroup/count_ideals.py data/classgroup_params.json --hi 1000000 --block 1000000 --out counts_slice.npz\nBLOCK 2 1000000 RATIONAL_PRIMES 78498 SECONDS 48.5\nRANGE 2 1000000 SUPPORT 1000000000 RATIONAL_PRIMES 78498 DISTINCT_NORMS 44159 PRIME_IDEALS 81695 SHA256 293b0b640b6f3f2a8beaaa62134bf9b22dfdde552eb70976856e60fe0734268f SECONDS 48.6\n" }, { "path": "anc/code/1.1.9/expected/1.1.9c_slice.txt", "size_bytes": 696, "sha256": "59df127de4819bd589eb8183d0d050ea48c096ca8314dedd88899ec8655890b2", "mode": 420, "encoding": "utf-8", "text": "# SHORT SLICE (prime ideals over p <= 3000 of the full range [2, 13500000]):\n# python3 -I ../common/h31_classgroup/witnesses.py data/classgroup_params.json --hi 3000 --out w_slice.jsonl.gz\nBLOCK 2 3000 IDEALS 829 SECONDS 39.8\nWITNESSES 829 STRICT 389 DIRECT 440 BY_DEGREE {\"1\": 415, \"2\": 362, \"3\": 28, \"4\": 11, \"5\": 5, \"6\": 8} BOUND 13500000 RANGE 2 3000 SECONDS 39.8\n# python3 -I ../common/h31_classgroup/check_witnesses.py data/classgroup_params.json w_slice.jsonl.gz --hi 3000\nALL 829 PRIME IDEALS OF NORM <= 13500000 OVER p IN [2, 3000] HAVE VALID WITNESSES; COFACTOR_ONE 441 COFACTOR_GT_ONE 388 BY_DEGREE {\"1\": 415, \"2\": 362, \"3\": 28, \"4\": 11, \"5\": 5, \"6\": 8} WITNESSES_USED 829 SECONDS 5.1\n" }, { "path": "anc/code/1.1.9/expected/1.1.9d_recorded.txt", "size_bytes": 1054, "sha256": "a20730f141f976c76c0fb00cdc7884d274f417f93ddb1cc43564819aaf93eb5c", "mode": 420, "encoding": "utf-8", "text": "# FROM THE ORIGINAL RECORDED OUTPUT (package file 011197_analytic_class_premises.json), not run here.\n# The package evaluated the bound with cutoff 1.5e7 and subtracted the exact first-power correction for\n# norms in (1.35e7, 1.5e7]; bound.py with principal_bound = 13500000 computes rigorous_bound_fresh directly.\nprime_ideal_support: 1000000000\nprincipal_cutoff: 13500000\nprincipal_ideals_required: 879491\nprime_ideals_in_support: 50851991\nrational_primes_in_support: 50847534\nall_small_and_bad_decompositions_replayed: 3402\nsteps: 96\narchimedean_correction_fresh: \"[0.0631019954071868468417067177120123877873660886614527121171231432714482959724769346467 +/- 7.94e-86]\"\noriginal_bound_fresh: \"[0.004336967905144938974891142562907255877833381072419917019993 +/- 1.09e-61]\"\ncutoff_correction_fresh: \"[0.004303426889963660287451854699814242764049888953479406846110072245632396244847527887 +/- 7.32e-85]\"\nrigorous_bound_fresh: \"[3.35410151812786874392878630930131137834921189405101738829e-5 +/- 8.12e-62]\"\nrigorous_bound_positive: true\nprecision_bits: 288\n" }, { "path": "anc/code/1.1.9/expected/1.1.9e.txt", "size_bytes": 1894, "sha256": "50eec0d333be0933f79a74dacc2feb3b6339c29d1c9978401bbdc982cdf789c4", "mode": 420, "encoding": "utf-8", "text": "FULL_COMPACT_MEMBERSHIP_PASS 161 141 seconds 15.601762533187866\nGOOD_PRIME_FULL_IMAGE 13 dimension 0 remaining 13\nGOOD_PRIME_FULL_IMAGE 17 dimension 0 remaining 11\nGOOD_PRIME_FULL_IMAGE 43 dimension 0 remaining 9\nGOOD_PRIME_FULL_IMAGE 53 dimension 0 remaining 7\nGOOD_PRIME_FULL_IMAGE 59 dimension 2 remaining 4\nGOOD_PRIME_FULL_IMAGE 67 dimension 1 remaining 3\nGOOD_PRIME_FULL_IMAGE 73 dimension 1 remaining 3\nGOOD_PRIME_FULL_IMAGE 97 dimension 1 remaining 3\nGOOD_PRIME_FULL_IMAGE 101 dimension 1 remaining 3\nGOOD_PRIME_FULL_IMAGE 103 dimension 0 remaining 3\nGOOD_PRIME_FULL_IMAGE 107 dimension 1 remaining 3\nGOOD_PRIME_FULL_IMAGE 109 dimension 0 remaining 3\nS_squareclass_basis_size 17\nindependent_character_rank 17\npre_dyadic_dimension 3\ndyadic_local_metadata [{\"e\": 8, \"f\": 3, \"depth\": 19, \"cyclic_orders\": [\"224\", \"32\", \"32\", \"8\", \"8\", \"8\", \"8\", \"8\", \"4\", \"4\", \"4\", \"4\", \"4\", \"4\", \"4\", \"2\", \"2\", \"2\", \"2\", \"2\", \"2\", \"2\", \"2\", \"2\", \"2\"], \"dimension\": 26}, {\"e\": 1, \"f\": 3, \"depth\": 5, \"cyclic_orders\": [\"112\", \"16\", \"8\", \"2\"], \"dimension\": 5}]\nfull_dyadic_image_dimension 3\nfinal_global_rows [[0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]]\nknown_point_independence_characters [{\"p\": 5, \"slope_root\": -1, \"point_characters\": [1, 1]}, {\"p\": 37, \"slope_root\": -21, \"point_characters\": [1, 0]}]\nrank_upper_bound 2\nknown_subgroup_rank_lower_bound 2\ncritical_value_norm \"12527563/5038848\"\nbad_fiber_geometry [{\"p\": 12527563, \"singular_z_polynomial\": [10337952, 1], \"singular_u\": 4469046, \"singular_z\": 2189611, \"critical_value_valuation\": 1, \"ordinary_node_thickness\": 1, \"hessian_determinant\": 4898948}]\ndyadic witness rational error lower bounds None\ndyadic witness infinity error lower bounds [640, 80]\ndyadic witness unramified_quadratic error lower bounds [640, 80]\nFRESH_CLASS_CONDITIONAL_GLOBAL_RANK_PASS seconds 28.579725742340088\n" }, { "path": "anc/code/1.1.9/expected/1.1.9f.txt", "size_bytes": 857, "sha256": "278137ed6d201b411a763c1abcd36e83d382e034a707676f330821cf8a724d3c", "mode": 420, "encoding": "utf-8", "text": "w-series residual valuation: 2404 leading: -1\nclosed form check: [3316, 3313, 3312]\nmin 2-val of differential coefficients: 0\nh0 found; order check\n E0 norm factorization degrees/mults: [[1, 16], [3, 1]]\n residual deg 3 squarefree 1 irreducible 1 gcd with support poly: 1\n 2-vals charpoly t: [1, 3, 3, 0] w: [4, 7, 4, 0]\norder of h_D at Q: 8\n ED norm factorization degrees/mults: [[2, 8], [3, 1]]\n residual deg 3 squarefree 1 irreducible 1 gcd with support poly: 1\n 2-vals charpoly t: [2, 2, 3, 0] w: [8, 9, 5, 0]\n4 log G0 mod 2^12: [3988, 2194, 1012] 4 log D mod 2^12: [1848, 3542, 3892]\nval log G0: [0, -1, 0] val log D: [1, -1, 0]\ncofactor valuations: [0, 0, -1] min -1\nannihilator raw mod 16: [6, 10, 9]\nannihilator normalized a2=9 mod 16: [6, 10, 9] COFACTORVAL -1\nannihilator (integers mod 2^50): [857957383579798, 646672900410122, 9]\n" }, { "path": "anc/code/1.1.9/expected/1.1.9g.txt", "size_bytes": 559, "sha256": "d6808dcec835a6e1bd53f4e7b40b8bb613130b7a631072db8a6cec929f696206", "mode": 420, "encoding": "utf-8", "text": "chart eq residual val: 521\nmatches TeX H': 1298\nv2 [t^n]H, n=1..12: [0, 0, 1, 1, 2, 5, 7, 5, 8, 7, 11, 11]\n[t^4]H vs 36a0-42a1-14a2: +oo\nbound violations (cap 40): 0\nt* mod 2^32: 3366055599 v2(G(t*)) = 45\nu* = 4b mod 2^30: 299052084 z* mod 2^30: 289660253\ncheck annihilation: v2(a.lam) = 47\nminor [1, 2] v2(det)=-1 c0 mod 2^24 = 10965931 cD mod 2^24 = 8513226 mod 32: [11, 10]\nminor [1, 3] v2(det)=0 c0 mod 2^24 = 10965931 cD mod 2^24 = 8513226 mod 32: [11, 10]\nminor [2, 3] v2(det)=0 c0 mod 2^24 = 10965931 cD mod 2^24 = 8513226 mod 32: [11, 10]\n" }, { "path": "anc/code/1.1.9/expected/1.1.9h_counts.txt", "size_bytes": 160, "sha256": "b20409f07f1ee1aab9a26007aea99eeab506674313961e465c99bf26536e79e7", "mode": 420, "encoding": "utf-8", "text": "p = 23: #C(F_23^k), k=1,2,3: [26, 622, 12044]\nL-polynomial: 12167*T^6 + 1058*T^5 + 1104*T^4 + 52*T^3 + 48*T^2 + 2*T + 1\n#J(F_23) = 14432 = [2, 5; 11, 1; 41, 1]\n" }, { "path": "anc/code/1.1.9/expected/1.1.9h_sieve23.txt", "size_bytes": 289, "sha256": "b124b61a9155f7931cafbb3a4d5bd666a533c6b659a9d7023449b52c66ba64c8", "mode": 420, "encoding": "utf-8", "text": "genus 3\n#C(F_23) = 26\nP0 degree 1 D_eff degree 2\n14432*G0 = 0: True 14432*D = 0: True\norders of 451*G0, 451*D: 8 16\ntarget 451(11 G0 + 10 D) nonzero: True\nhess matches among 26 points: []\npoints with 451[Q-O] - target principal (RR check): 0 of 26\nRR sanity: dim L(rep of 14432*G0) = 1\n" }, { "path": "anc/code/1.2.1/expected/1.2.1a.txt", "size_bytes": 1129, "sha256": "a6398df1f28e40a547509a3d1785271629ab8f9cdb06d98871d7808320315666", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.1a_cubic_field_K.gp\nK: disc [-1, 1; 3, 5] h 1 certify 1 fu [Mod(y^2 - 2, y^3 - 3)]\nbnfisunit(eps): [-1, 0]~\nE0 over K: [r,s]=[2, 4] pts [[Mod(18, y^3 - 3), Mod(72, y^3 - 3)], [Mod(12, y^3 - 3), Mod(36, y^3 - 3)], [Mod(y^2 + 3*y + 3, y^3 - 3), Mod(-3*y^2 - 9*y - 3, y^3 - 3)], [Mod(15*y^2 + 24*y + 27, y^3 - 3), Mod(-147*y^2 - 207*y - 288, y^3 - 3)], [Mod(6*y^2 + 6*y + 6, y^3 - 3), Mod(-24*y^2 - 36*y - 36, y^3 - 3)], [Mod(174/121*y^2 + 114/121*y + 300/121, y^3 - 3), Mod(-4944/1331*y^2 - 936/1331*y + 288/1331, y^3 - 3)], [Mod(-3, y^3 - 3), Mod(9, y^3 - 3)], [Mod(-2, y^3 - 3), Mod(8, y^3 - 3)], [Mod(-69/64*y^2 - 39/64*y + 195/64, y^3 - 3), Mod(-1617/512*y^2 + 1557/512*y + 279/512, y^3 - 3)], [Mod(-3*y + 3, y^3 - 3), Mod(-3*y^2 + 9*y, y^3 - 3)], [Mod(-38/25*y^2 - 6/25*y + 78/25, y^3 - 3), Mod(-564/125*y^2 + 432/125*y + 84/125, y^3 - 3)], [Mod(-6*y^2 + 6*y, y^3 - 3), Mod(-12*y^2 + 36*y - 36, y^3 - 3)]]\nE2 over K: [r,s]=[0, 2]\ntorsion E0 [4, [2, 2]] E2 [4, [2, 2]]\nA,B on E0: 11\nA,B,T0,T1 independence mod 2 checked\neps^3/2 square? 0 -eps^3/2 square? 0\nnorm-1 elements in the unit box: [[1, 0, 0], [4, 3, 2]]\n" }, { "path": "anc/code/1.2.1/expected/1.2.1b.txt", "size_bytes": 737, "sha256": "41479a02b37dc48f891598fd29231fb3ed8c2a98d1b07bda44ca2cb60172bb9e", "mode": 420, "encoding": "utf-8", "text": "### python3 -I 1.2.1b_sieve577.py\nroots [260, 329, 565]\nnorm check: 0\n#C0(F_577) = 572\n#E(F_577)= 576\n|H| = 576\n[8]A coords: ((8, 0), (8, 0), (8, 0)) [8]B: ((8, 8), (0, 0), (16, 16))\nsurviving points: [(1, 0, 0), (0, 1, 0)]\n### gp -q 1.2.1b_chabauty577.gp\nroots mod p^3 [109980499, 147043009, 127176558]~\ni=1 nA,nB orders: 12 24\ni=2 nA,nB orders: 12 8\ni=3 nA,nB orders: 12 24\nlog A/p mod p^2: [4351, 4351, 4351]\nlog B/p mod p^2: [55622, 183530, 93777]\nannihilator mod p: [28, 304, 245]\nsum c_i theta_i = 496 sum c_i(-theta_i^2/3) = 241\n### python3 -I 1.2.1b_smooth577.py\nf = 4*a**3*c + 6*a**2*b**2 + 36*a*b*c**2 + 12*b**3*c + 9*c**4\nC0 Groebner bases mod 577 in charts a=1,b=1,c=1: [[1], [1], [1]]\ndf/dc at (1,0,0): 4 at (0,1,0): 12\n" }, { "path": "anc/code/1.2.1/expected/1.2.1c.txt", "size_bytes": 1480, "sha256": "c6318ce3c5ccc7a907ec4b02bc1e1ff3162e2358b77e2875c20d8bd4847ab1d2", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.1c_odd_algebra.gp\nZ^3+3Y^3 - P^2 = 0\nP(2,7)=801025 =895^2? 1 Y(2,7)=6202 Z(2,7)=-4199\ncheck original: 0\n(th^2-2)(...)^2 == Z+th*Y: 1\ntheta^2 coefficient: A^2 - 4*C*A + (-2*B^2 + 6*C*B) vs A^2-4AC-2B^2+6BC: 0\nconic at (hA,hB,hC): 0\nnorm(hA+hB th+hC th^2) + P = 0\nU*Y+V*Z - 3n^7 = 0\nP(k+2l,2k+3l) vs l^6 f(k/l): 0\nq(m,n) inverse: m/n=2/7 -> q = -8/3 f(-8/3)=801025/729 issquare 1 f(0)=9\nf irreducible: 1 disc f: [2, 18; 3, 25]\nj=1: primitive (a,b,c) mod 16 with coefficient = 0 mod 16: 0\neps^-1 = th^2-2: 1 norm eps 1\n### gp -q 1.2.1c_odd_norms.gp\nN(h)+P = 0\nobserved [n mod2, m mod2, gcd, N(h/g) mod 8, -N(h/g) mod 8]: [[0, 1, 2, 2, 6], [0, 1, 2, 6, 2], [1, 0, 1, 7, 1], [1, 1, 1, 5, 3]]~\nj=1 primitive solutions mod 8: 0\n### gp -q 1.2.1c_mod8_forms.gp\nj=1 coeff mod 2: (Mod(1, 2)*b^4 + Mod(0, 2)*b^3 + Mod(0, 2)*b^2 + Mod(0, 2)*b + Mod(0, 2))\nj=1 coeff with b=2b1 mod 8: Mod(2, 8)*a^4 + Mod(0, 8)*a^3 + (Mod(6, 8)*c^2 + Mod(0, 8)*c + Mod(0, 8))*a^2 + Mod(0, 8)*a + (Mod(4, 8)*c^4 + Mod(0, 8)*c^3 + Mod(0, 8)*c^2 + Mod(0, 8)*c + Mod(0, 8))\nj=-1 coeff mod 2: Mod(1, 2)*a^4 + Mod(0, 2)*a^3 + Mod(0, 2)*a^2 + Mod(0, 2)*a + Mod(0, 2)\nN(3th+th^2)=90 N(th^2)=9\nMink K: 4.4106311633743363960906119865037555312\neps mod 5 at th=2: 3 issquare mod 5: 0\n2-adic root theta: [1 + 2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^8 + O(2^10)]~ eps: 1 + 2 + 2^2 + 2^5 + 2^7 + 2^9 + O(2^10)\nW^2 at kappa=+-sqrt(eps): 19.077405048951666854601291402507811225 -1.3084067677220333253147381593873728714\n" }, { "path": "anc/code/1.2.1/expected/1.2.1d.txt", "size_bytes": 1077, "sha256": "ee0d9e986ee62db4312d8038b74a115691624f7c344109a6282018befa282d30", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.1d_sextic_L.gp\nh irreducible 1\nL: disc [2, 4; 3, 11] sign [2, 2] h 1 certify 1\ntheta^3=3: 1\nf(r)=Mod(0, x^6 - 9*x^4 + 27*x^2 - 3)\nR(xi)==r 1 Pi(xi)==pi1 1\nintegral basis of nfinit: [1, 1/2*x^2 - 3/2, 1/8*x^5 - 1/8*x^4 - x^3 + 1/2*x^2 + 19/8*x - 7/8, 1/8*x^5 + 1/8*x^4 - x^3 - x^2 + 19/8*x + 11/8, 1/4*x^5 - 2*x^3 + 23/4*x, -1/4*x^5 + 5/2*x^3 - 29/4*x]\nnorms pi0, pi1, delta integral? [4, 4] [1, 1, -1, 0, 3, 2]~\nprimes over 2: [[2, 2], [1, 2]]\nval pi0: [0, 1] val pi1: [1, 0]\nunit norms: [1, 1, 1]\nunits independent mod squares: 1\n3/xi^6 == (th^2-2)(52+36th+25th^2)^2: 1\n2/(pi0 pi1^2) is unit: 1\n2/(pi0 pi1^2) ~ unit mask 5\nq=0 v(q-r) at P2: [-1, -1] v(4/(q-r)): [5, 3] v(2): [2, 1]\nq=2 v(q-r) at P2: [-1, -1] v(4/(q-r)): [5, 3] v(2): [2, 1]\nq in 0+4Z2: matches global candidate [u2,u3,pi1] bits [0, 0, 1] with scalar 2\nq in 0+4Z2: matches global candidate [u2,u3,pi1] bits [0, 0, 1] with scalar 10\nf(0),f(2),f(-1/2): [9, 9913, -23/4] 2-adic squares: [1, 1, 1]\n### gp -q 1.2.1d_units_L.gp\nunits -1,th^2-2,u2,u3 independent mod squares: 1\nunit rank 3 torsion 2\n" }, { "path": "anc/code/1.2.1/expected/1.2.1e.txt", "size_bytes": 1147, "sha256": "3590a35e5f815a53758bbd5da75edac86589d7fd3dc40ab646bb194da02d64b6", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.1e_field_M_identities.gp\nR0^2 == 9+6th+4th^2: 1 R0^2 == th^2*eps: 1\nnfdisc(M) = [-1, 1; 2, 14; 3, 21] sign [2, 5] index [2, 38; 3, 14; 233, 2]\nrelative quartic for d: Mod(0, y^12 - 36*y^10 + 432*y^8 - 2352*y^6 + 5184*y^4 - 15552)\nN_M(d) = -5184\nc4 + 32 d^2 = Mod(0, y^12 - 36*y^10 + 432*y^8 - 2352*y^6 + 5184*y^4 - 15552) disc + 256 d^6 = Mod(0, y^12 - 36*y^10 + 432*y^8 - 2352*y^6 + 5184*y^4 - 15552) j = Mod(128, y^12 - 36*y^10 + 432*y^8 - 2352*y^6 + 5184*y^4 - 15552)\ndet of D-basis matrix: 17/15935676616802304\n(5.9): 0\nr1 r2 - th^2 D*/4 = Mod(0, y^12 - 36*y^10 + 432*y^8 - 2352*y^6 + 5184*y^4 - 15552)\nf divisible by (q-r1)(q-r2): 1\nQ(0) - (2th^2)^2 = Mod(0, y^12 - 36*y^10 + 432*y^8 - 2352*y^6 + 5184*y^4 - 15552) deg Q = 4\nWeierstrass identity holds: 1\nE identity holds: 1\ndifferential identity holds: 1\n### gp -q 1.2.1e_points_M.gp\non E: R 1 S 1 U 1 V 1 P 1 Q 1 P1 1\non E': Q0 1 D' 1\ndual(Q0)==P 1 dual(D')==Q 1\ndual(Q0) on E: 1\nq->0, V->-e limit == P: [1, 1] valuations [0, 0]\nQ(-8/3) square in M: 2\n image on E: 1 ==P1: 0 ==P-P1: 1\n image on E: 1 ==P1: 1 ==P-P1: 0\nV1 formula image == P1: 1 V1^2 == Q(-8/3): 1\n" }, { "path": "anc/code/1.2.1/expected/1.2.1f.txt", "size_bytes": 65, "sha256": "5f2ec740bcdd6c20024cfc75100eba7daba12a5d100314cdc30501780d766934", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.1f_classgroup_M.gp\nh=1\nbnfcertify(M) = 1 time 205\n" }, { "path": "anc/code/1.2.1/expected/1.2.1g.txt", "size_bytes": 813, "sha256": "f063c81f18547a8258c39a1ad2d892cadfae2f9c6887d7e2181d882bcdfd1f7b", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.1g_selmer_M.gp\np=2 e,f=[4, 1] dim loc grp 6 dim alpha_v(E) 4 (44 pts) dim alpha_v(E') 2 (77 pts) sum 6 required 6\np=2 e,f=[2, 2] dim loc grp 6 dim alpha_v(E) 4 (17 pts) dim alpha_v(E') 2 (85 pts) sum 6 required 6\np=2 e,f=[2, 2] dim loc grp 6 dim alpha_v(E) 4 (5 pts) dim alpha_v(E') 2 (86 pts) sum 6 required 6\np=3 e,f=[6, 1] dim loc grp 2 dim alpha_v(E) 1 (1 pts) dim alpha_v(E') 1 (1 pts) sum 2 required 2\np=3 e,f=[3, 2] dim loc grp 2 dim alpha_v(E) 1 (92 pts) dim alpha_v(E') 1 (5 pts) sum 2 required 2\ndim Sel(alpha_E) = 5 dim Sel(alpha_E') = 3 => rank <= 6\ncumulative counts E: [1024, 256, 64, 64, 64, 32] E': [256, 16, 8, 8, 8]\n### gp -q 1.2.1g_independence.gp\nalpha_E classes of T,R,S,U,V independent: 1\nalpha_E' classes of T',Q0,D' independent: 1\ntorsion E(M): [2, [2]]\n" }, { "path": "anc/code/1.2.1/expected/1.2.1h.txt", "size_bytes": 2743, "sha256": "cda2d01af96752cc0c31b686ad8210d444ac1a233ec433cf37a0ae19f2233f44", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.1h_sieve661_data.gp\nnumber of roots mod p: 12\n### first line of each embedding block of c5_661.txt (EMB [theta, d, V1] [reductions of R,S,U,V,P,Q,T,P1]); the IMG lines (q -> images) are omitted here\nEMB [261, 454, 619] [[24, 430], [126, 235], [231, 172], [276, 308], [53, 74], [557, 542], [0, 0], [75, 72]]\nEMB [261, 500, 182] [[49, 153], [362, 387], [259, 326], [183, 463], [340, 150], [215, 393], [0, 0], [122, 467]]\nEMB [481, 513, 591] [[527, 64], [118, 199], [315, 123], [565, 27], [534, 297], [364, 84], [0, 0], [500, 510]]\nEMB [580, 17, 301] [[383, 392], [579, 535], [556, 227], [253, 475], [311, 527], [320, 104], [0, 0], [554, 635]]\nEMB [580, 153, 238] [[572, 254], [448, 553], [647, 112], [639, 197], [159, 613], [363, 231], [0, 0], [192, 268]]\nEMB [481, 639, 583] [[95, 31], [105, 69], [4, 221], [555, 68], [636, 405], [587, 417], [0, 0], [59, 177]]\nEMB [481, 441, 585] [[355, 204], [77, 371], [1, 326], [440, 162], [144, 229], [129, 412], [0, 0], [46, 650]]\nEMB [580, 517, 459] [[409, 302], [101, 625], [16, 122], [411, 326], [381, 68], [523, 425], [0, 0], [298, 16]]\nEMB [580, 635, 655] [[295, 194], [480, 366], [318, 523], [546, 539], [238, 36], [568, 151], [0, 0], [179, 537]]\nEMB [481, 390, 463] [[286, 550], [343, 116], [120, 409], [267, 585], [4, 454], [564, 471], [0, 0], [496, 119]]\nEMB [261, 334, 64] [[446, 147], [49, 160], [439, 119], [167, 460], [425, 183], [295, 170], [0, 0], [280, 404]]\nEMB [261, 34, 604] [[525, 620], [508, 287], [170, 557], [433, 127], [224, 318], [154, 611], [0, 0], [36, 99]]\n### python3 -I 1.2.1h_sieve661.py\nembeddings: [(261, 454), (261, 500), (481, 513), (580, 17), (580, 153), (481, 639), (481, 441), (580, 517), (580, 635), (481, 390), (261, 334), (261, 34)]\norders: [628, 696, 628, 696, 696, 628, 696, 696, 696, 696, 696, 628] structures: [(314, 2), (348, 2), (314, 2), (348, 2), (348, 2), (314, 2), (348, 2), (348, 2), (348, 2), (348, 2), (348, 2), (314, 2)]\nindex [prod:H] = 31746686976 [2, 22; 3, 2; 29, 2]\nresidues with points in all 12: 27 patterns: 106512 survivors: 64\nsurvivor q residues: Counter({0: 32, 438: 32})\ntime 3.332862615585327\nl= 3 factors: 8 rank mod l: 6\nl= 29 factors: 8 rank mod l: 6\nl= 157 factors: 4 rank mod l: 4\n### python3 -I 1.2.1h_sieve661_primary.py\nembeddings: [(261, 454), (261, 500), (481, 513), (580, 17), (580, 153), (481, 639), (481, 441), (580, 517), (580, 635), (481, 390), (261, 334), (261, 34)]\norders: [628, 696, 628, 696, 696, 628, 696, 696, 696, 696, 696, 628] structures: [(314, 2), (348, 2), (314, 2), (348, 2), (348, 2), (314, 2), (348, 2), (348, 2), (348, 2), (348, 2), (348, 2), (314, 2)]\nindex [prod:H] = 31746686976 [2, 22; 3, 2; 29, 2]\ntotal 106512 after 2: 6146 after 3: 1152 after 29: 64 after 157: 64 final 64\n" }, { "path": "anc/code/1.2.1/expected/1.2.1i.txt", "size_bytes": 2750, "sha256": "e427e045ed4bf85810a8eefcfdafc2aa453ab3bd5d61af575b423519b1da5c81", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.1i_logs661.gp\n### contents of c5_log661.txt written by 1.2.1i_logs661.gp: [theta mod p, d mod p, theta mod p^3, d mod p^3] [orders n of R,S,U,V,P,Q,P1 entering the formal group] [log/p mod p^2 of R,S,U,V,P,Q,P1] (P2 embedding order)\n[261, 454, 59380535, 50138626] [314, 157, 314, 314, 157, 314, 157] [271638, 412149, 96557, 125685, 285884, 207125, 335428]\n[261, 500, 59380535, 119855003] [348, 174, 348, 174, 87, 116, 87] [209358, 188482, 6912, 279357, 179926, 385414, 239883]\n[481, 513, 197505959, 6691155] [314, 314, 314, 314, 157, 314, 157] [374053, 172005, 303497, 45845, 395283, 298281, 51273]\n[580, 17, 31918287, 115652543] [174, 348, 348, 116, 87, 348, 58] [398527, 48916, 59437, 29943, 25484, 95539, 364573]\n[580, 153, 31918287, 150230250] [6, 348, 87, 174, 87, 116, 174] [13961, 76509, 10628, 435137, 387050, 136193, 234032]\n[481, 639, 197505959, 16230833] [314, 314, 314, 314, 157, 314, 157] [273175, 92401, 309717, 81243, 8845, 64919, 260964]\n[481, 441, 197505959, 163302474] [348, 348, 348, 348, 58, 116, 87] [309307, 281473, 159248, 83703, 231750, 309685, 105725]\n[580, 517, 31918287, 5316940] [174, 174, 348, 174, 174, 348, 58] [165363, 79547, 17169, 148158, 80418, 220136, 358245]\n[580, 635, 31918287, 17605048] [174, 174, 174, 348, 58, 348, 174] [93177, 105509, 383121, 239256, 9164, 282793, 235067]\n[481, 390, 197505959, 102580319] [116, 348, 348, 116, 174, 348, 87] [264296, 226921, 277578, 67566, 134369, 13249, 117448]\n[261, 334, 59380535, 117696672] [12, 87, 6, 348, 29, 116, 87] [48972, 283968, 231135, 290478, 433577, 358019, 302562]\n[261, 34, 59380535, 1114480] [314, 157, 314, 314, 157, 314, 157] [372993, 431564, 219331, 185514, 347472, 233686, 358186]\n### python3 -I 1.2.1i_chabauty661.py\nembedding order: [(261, 34), (261, 334), (261, 454), (261, 500), (481, 390), (481, 441), (481, 513), (481, 639), (580, 17), (580, 153), (580, 517), (580, 635)]\nR [189, 58, 628, 482, 557, 620, 588, 182, 605, 80, 113, 637]\nS [592, 399, 346, 97, 198, 548, 145, 522, 2, 494, 227, 410]\nU [540, 446, 51, 302, 619, 608, 98, 369, 608, 52, 644, 402]\nV [434, 299, 95, 415, 144, 417, 236, 601, 198, 199, 94, 635]\nP [447, 622, 332, 134, 186, 400, 5, 252, 366, 365, 437, 571]\nQ [353, 418, 232, 51, 29, 337, 170, 141, 355, 27, 23, 546]\nP1 [585, 485, 301, 601, 451, 626, 376, 530, 362, 38, 644, 412]\nkernel rows:\n[74, 2, 659, 439, 29, 256, 1, 0, 0, 0, 0, 0]\n[274, 619, 194, 297, 564, 485, 0, 1, 0, 0, 0, 0]\n[258, 164, 483, 636, 158, 401, 0, 0, 1, 0, 0, 0]\n[10, 483, 182, 492, 48, 24, 0, 0, 0, 1, 0, 0]\n[474, 38, 384, 393, 52, 246, 0, 0, 0, 0, 1, 0]\n[402, 397, 164, 143, 274, 592, 0, 0, 0, 0, 0, 1]\nconsistent: 4\n(0, '++++++++++++', [0], 592)\n(0, '------------', [0], 69)\n(438, '------------', [0], 395)\n(438, '++++++++++++', [0], 266)\n" }, { "path": "anc/code/1.2.3/expected/1.2.3a.txt", "size_bytes": 965, "sha256": "cbff37e8738755b2fc926e1eebd25f96f082f0c7ec0c5a67ed85e71f461dbc30", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.3a_descent_E6.gp\nF=t^6 + 9*t^5 + 30*t^4 + 60*t^3 + 60*t^2 + 36*t + 8\ndisc F=[2, 26; 3, 6]\nj=1:(1 + w)*a^3 + (6 + 3*w)*b*a^2 + (6 + 6*w)*b^2*a + (4 + 2*w)*b^3\nj=-1:(-1 + w)*a^3 + (6 - 3*w)*b*a^2 + (-6 + 6*w)*b^2*a + (4 - 2*w)*b^3\na^3 + 6*b*a^2 + 6*b^2*a + 4*b^3 a^3 + 3*b*a^2 + 6*b^2*a + 2*b^3\n-a^3 + 6*b*a^2 - 6*b^2*a + 4*b^3 a^3 - 3*b*a^2 + 6*b^2*a - 2*b^3\nE6 ellrank:[0, 0, 0, []]\ntors:[2, [2], [[0, 0]]]\nanalytic rank:[0, 2.3692964596386889564445516594042619214]\n### python3 -I 1.2.3a_E6_congruences.py\nW^2 = 2U^4 + 3V^4: values mod 16 for (U,V) not both even [2, 3, 5]; none is a square mod 16: True\nW^2 = -U^4 + 24V^4: values mod 16 for (U,V) not both even [7, 8, 15]; none is a square mod 16: True\nW^2 = -2U^4 + 12V^4: values mod 16 for (U,V) not both even [10, 12, 14]; none is a square mod 16: True\nW^2 = 2U^4 - 12V^4: values mod 32 for (U,V) not both even [2, 20, 22]; none is a square mod 32: True\n#E6(F_5) = 4\n#E6(F_7) = 8\n#E6(F_13) = 10\n" }, { "path": "anc/code/1.2.3/expected/1.2.3b.txt", "size_bytes": 728, "sha256": "7d5dd5e8f6f04f7ca47ca0545342f84a82e4d9645b7aacce3840c4d0061eed86", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.3b_cubic_field_K.gp\ndisc:-216 sign:[1, 1] clgp:[1, [], []] fu:[Mod(-h^2 - h + 1, h^3 + 3*h - 2)] tu:[2, -1]\ncertify:1\nindex:1 zk:[1, h, h^2 + 2]\nN(e)=1 1/e=5*h^2 + 3*h + 17\nfu vs e:[1, 0]~\n[[2, [0, 1, 0]~, 1, 1, [-1, 2, 2; 0, -2, 2; 1, 0, 0]], [2, [1, 1, 0]~, 2, 1, [0, 0, 4; 1, -1, 1; 1, 1, 1]]]\n[[3, [1, 1, 0]~, 3, 1, [-1, 4, 0; -1, -2, 3; 1, -1, 0]]]\n2-prime 1 e=1 f=1 isprinc h:1 rho:0\n2-prime 2 e=2 f=1 isprinc h:0 rho:1\n3: val pi:1 N(pi)=-3 N(h)=2 N(rho)=-2\nf(rf)=Mod(0, h^3 + 3*h - 2) g(rg)=Mod(0, h^3 + 3*h - 2) rf==2/(h-1):1\ndisc f:-864 disc g:-216 res:-512\nnfdisc f:-216 nfdisc g:-216 iso:11\n2 = h rho^2/e ? 1\n(1-h+h^2)^2 = -3 pi e ? 1\nnorm-1 elements a+bh+ch^2 in the box: List([[1, 0, 0], [17, 3, 5]])\n" }, { "path": "anc/code/1.2.3/expected/1.2.3c.txt", "size_bytes": 553, "sha256": "45ce0e0ceffdda6d2a7efad30ed1b0005629ebfbca55961ffd5a49bfc7e428a0", "mode": 420, "encoding": "utf-8", "text": "### python3 -I 1.2.3c_two_cover_2adic.py\nPARI stack size set to 300000000 bytes, maximum size set to 300003328\nprimes over 2: [[1, 1], [2, 1]]\nprime 1 Gram rank 3 expected dim 3\nprime 2 Gram rank 4 expected dim 4\nroot ball 2 3 component 0\nroot ball 5 3 component 2\naffine balls: stable 16 root 2\ninfinity-chart balls 4\nsigma 1 local image size (mod Q2 diag): 4\nsigma -1 local image size (mod Q2 diag): 4\nsigma 1 #pairs (before global diag quotient) surviving: 8 classes: [(0, 0)]\nsigma -1 #pairs (before global diag quotient) surviving: 0 classes: []\n" }, { "path": "anc/code/1.2.3/expected/1.2.3d.txt", "size_bytes": 3198, "sha256": "e6eaa37c6cb081ab36b71d4e6a0d69f3a78f9483c7110fb4bf8c0886b0099699", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.3d_map_identities.gp\n(t-rf)(t-rg)q - F = 0\ncurve eq residual: 0\ndifferential check Y - (q' + 2v(2t+k)) = 0\nP on E: 0 Q on E: 0\n### gp -q 1.2.3d_infinity.gp\nvhat = (-1/2*u + 3/8*u^2 - 21/16*u^3 + 531/128*u^4 - 3615/256*u^5 + 53655/1024*u^6 - 421533/2048*u^7 + 27399315/32768*u^8 + 210241641/2048*u^9 + O(u^10))*h^2 + (3/4*u^2 - 9/4*u^3 + 369/64*u^4 - 531/32*u^5 + 29283/512*u^6 - 112995/512*u^7 + 14600973/16384*u^8 - 550790253/2048*u^9 - 3771202491/1024*u^10 + O(u^11))*h + (1 + 2*u + 2*u^2 + 3/4*u^3 - 69/16*u^4 + 1059/64*u^5 - 3699/64*u^6 + 107703/512*u^7 - 3374919/4096*u^8 + O(u^9))\n1 + k u + m u^2 + n/2 u^3 ? (531/128*u^4 - 3615/256*u^5 + 53655/1024*u^6 - 421533/2048*u^7 + 27399315/32768*u^8 + 210241641/2048*u^9 + O(u^10))*h^2 + (369/64*u^4 - 531/32*u^5 + 29283/512*u^6 - 112995/512*u^7 + 14600973/16384*u^8 - 550790253/2048*u^9 - 3771202491/1024*u^10 + O(u^11))*h + (-69/16*u^4 + 1059/64*u^5 - 3699/64*u^6 + 107703/512*u^7 - 3374919/4096*u^8 + O(u^9))\nsign 1: xE=(-8*u^-1 + 3 - 21/2*u + 531/16*u^2 - 3615/32*u^3 + 53655/128*u^4 - 421533/256*u^5 + 27399315/4096*u^6 + 210241641/256*u^7 + O(u^8))*h^2 + (6 - 18*u + 369/8*u^2 - 531/4*u^3 + 29283/64*u^4 - 112995/64*u^5 + 14600973/2048*u^6 - 550790253/256*u^7 - 3771202491/128*u^8 + O(u^9))*h + (16*u^-2 + 32*u^-1 + 32 + 6*u - 69/2*u^2 + 1059/8*u^3 - 3699/8*u^4 + 107703/64*u^5 - 3374919/512*u^6 + O(u^7)) yE=(-48*u^-2 - 64*u^-1 - 53 + 213/4*u - 2961/16*u^2 + 12057/16*u^3 - 408297/128*u^4 + 13873143/1024*u^5 + 13674259581/4096*u^6 + O(u^7))*h^2 + (64*u^-1 - 36 + 159/2*u - 549/2*u^2 + 9015/8*u^3 - 150327/32*u^4 + 9959385/512*u^5 - 2193810075/256*u^6 - 34445634981/256*u^7 + O(u^8))*h + (64*u^-3 + 192*u^-2 + 256*u^-1 + 140 - 78*u + 1197/4*u^2 - 2109/2*u^3 + 126939/32*u^4 - 2061315/128*u^5 + O(u^6))\n dx/2y series = (-1/8*u + 25/32*u^2 - 217/64*u^3 + 7077/512*u^4 - 60279/1024*u^5 + 1081101/4096*u^6 - 9959305/8192*u^7 + 741465565/131072*u^8 + 34857729479/1048576*u^9 + O(u^10))*h^2 + (1/16*u^2 - 9/16*u^3 + 807/256*u^4 - 1911/128*u^5 + 139209/2048*u^6 - 640683/2048*u^7 + 95981923/65536*u^8 - 10232610039/65536*u^9 - 2812110131775/2097152*u^10 + O(u^11))*h + (-1/4 + 1/2*u - 1/2*u^2 + 7/16*u^3 - 235/64*u^4 + 6891/256*u^5 - 35875/256*u^6 + 1320019/2048*u^7 - 47857529/16384*u^8 + O(u^9))\nsign -1: xE=(-3 + 21/2*u - 531/16*u^2 + 3615/32*u^3 - 53655/128*u^4 + 421533/256*u^5 - 27399315/4096*u^6 - 210241641/256*u^7 + O(u^8))*h^2 + (-6 + 18*u - 369/8*u^2 + 531/4*u^3 - 29283/64*u^4 + 112995/64*u^5 - 14600973/2048*u^6 + 550790253/256*u^7 + 3771202491/128*u^8 + O(u^9))*h + (-6*u + 69/2*u^2 - 1059/8*u^3 + 3699/8*u^4 - 107703/64*u^5 + 3374919/512*u^6 + O(u^7)) yE=(21 - 213/4*u + 2961/16*u^2 - 12057/16*u^3 + 408297/128*u^4 - 13873143/1024*u^5 - 13674259581/4096*u^6 + O(u^7))*h^2 + (36 - 159/2*u + 549/2*u^2 - 9015/8*u^3 + 150327/32*u^4 - 9959385/512*u^5 + 2193810075/256*u^6 + 34445634981/256*u^7 + O(u^8))*h + (-12 + 78*u - 1197/4*u^2 + 2109/2*u^3 - 126939/32*u^4 + 2061315/128*u^5 + O(u^6))\n dx/2y series = (1/8*u - 25/32*u^2 + 217/64*u^3 - 7077/512*u^4 + 60279/1024*u^5 + O(u^6))*h^2 + (-1/16*u^2 + 9/16*u^3 - 807/256*u^4 + 1911/128*u^5 + O(u^6))*h + (1/4 - 1/2*u + 1/2*u^2 - 7/16*u^3 + 235/64*u^4 - 6891/256*u^5 + O(u^6))\n" }, { "path": "anc/code/1.2.3/expected/1.2.3e.txt", "size_bytes": 776, "sha256": "3a941ec8127cc30f4242b1eb854c6d6f24cbb1e33af77def49c91e5900e79b1a", "mode": 420, "encoding": "utf-8", "text": "### python3 -I 1.2.3e_selmer.py\nPARI stack size set to 300000000 bytes, maximum size set to 300003328\npr1 Gram rank 3 expected 3\npr2 Gram rank 4 expected 4\npr3 Gram rank 2 expected 2\npr1 new local point x= ((-20+8*h+-3*h^2)/9)\npr1 local image size 8 expected 8 tries 5\npr2 new local point x= ((-9+6*h+19*h^2)/1)\npr2 new local point x= ((-3+10*h+-17*h^2)/9)\npr2 local image size 16 expected 16 tries 508\npr3 local image size 4 expected 4 tries 0\nreal local image size 2 expected 2 tries 0\nSelmer survivors: 16 [(0, 0), (0, 2), (4, 9), (4, 11), (10, 5), (10, 7), (14, 12), (14, 14), (18, 29), (18, 31), (22, 20), (22, 22), (24, 24), (24, 26), (28, 17), (28, 19)]\n### gp -q 1.2.3e_kummer_points.gp\nT0: [18, 29]\nT1: [28, 19]\nP: [24, 26]\nQ: [24, 24]\nR check P: y^2 vs (2h)^2=4*y^2\n" }, { "path": "anc/code/1.2.3/expected/1.2.3f.txt", "size_bytes": 616, "sha256": "8eef4110079d0e98dd8c4f665908e7773c83f4adb54bff4f247697e1d648436d", "mode": 420, "encoding": "utf-8", "text": "### python3 -I 1.2.3f_sieve29.py\np 13 h 9 #E 16\np 29 h 6 #E 36\nroots mod 29: [6, 9, 14]\nh 6 d 3 #E 36 exponent 18 ord P 18 ord Q 9 [exp/3]P (16, 28) [exp/3]Q (16, 28)\nh 9 d 16 #E 24 exponent 12 ord P 12 ord Q 3 [exp/3]P (22, 17) [exp/3]Q (22, 12)\nh 14 d 10 #E 36 exponent 18 ord P 3 ord Q 9 [exp/3]P None [exp/3]Q (5, 15)\nsuccessive subgroup sizes [36, 324, 648, 1296] product order 31104 index 24\nrf residues [12, 22, 18] rg residues [5, 8, 13]\nt mod 29 passing character test: []\n(0, 0, 0) True\n(0, 0, 1) False\n(0, 1, 0) False\n(0, 1, 1) False\n(1, 0, 0) False\n(1, 0, 1) False\n(1, 1, 0) False\n(1, 1, 1) True\n" }, { "path": "anc/code/1.2.3/expected/1.2.3g.txt", "size_bytes": 722, "sha256": "48448925775c944fc455a4472b2baf653c662047ce58f96028dbf90723343e94", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.3g_logs29.gp\nroots mod 29^3: [13172, 14132, 21474]~\nh=6 pt P N=18 v(tau)=1 log/29 mod 29^2 = 647\nh=6 pt Q N=9 v(tau)=1 log/29 mod 29^2 = 672\nh=9 pt P N=12 v(tau)=1 log/29 mod 29^2 = 368\nh=9 pt Q N=3 v(tau)=1 log/29 mod 29^2 = 302\nh=14 pt P N=3 v(tau)=1 log/29 mod 29^2 = 410\nh=14 pt Q N=9 v(tau)=1 log/29 mod 29^2 = 764\nc mod 29: [7, 17, 8] sum mod 29: 3\nc valuations: [0, 0, 0]\n### gp -q 1.2.3g_table_check.gp\nh=13172 (A,B)=[5756, 16226] h^3+3h-2 mod 29^3: 0\nh=14132 (A,B)=[16374, 2601] h^3+3h-2 mod 29^3: 0\nh=21474 (A,B)=[3091, 11147] h^3+3h-2 mod 29^3: 0\n[20677, 18, 647] -> 647\n[6119, 12, 368] -> 368\n[18908, 18, 410] -> 410\n[9338, 18, 672] -> 672\n[7540, 12, 302] -> 302\n[8584, 18, 764] -> 764\n" }, { "path": "anc/code/1.2.4/expected/1.2.4a.txt", "size_bytes": 961, "sha256": "d664956343b94d6d2fdb0111464ee84a5392df30283133fcd17f2e385648cbdb", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.4a_descent_j0.gp\nLemma 4.1 curve: conductor 1600 ellrank [0, 0] analytic rank 0 torsion [2, [2]]\n(a+b sqrt2)^5 check: 1 1\nj=1: 1 j=2: 1\n### python3 -I 1.2.4a_congruences.py\nF mod 16 for a = 5u^2, u odd: [5, 13] odd squares mod 16: [1, 9]\n5r^4-10r^2s^2+4s^4 mod 16, (r,s) not both even: [4, 5, 12, 13, 15] fourth powers mod 16: [0, 1]\nE : Y^2=X^3-10X^2+20X, d=2: W^2 = 2U^4-10U^2V^2+10V^4: values mod 25 for (U,V) not both divisible by 5: [2, 7, 10, 12, 17, 22]; none is a square mod 25: True\nE': Y^2=X^3+20X^2+20X, d=2: W^2 = 2U^4+20U^2V^2+10V^4: values mod 25 for (U,V) not both divisible by 5: [2, 7, 10, 12, 17, 22]; none is a square mod 25: True\nE': d=-2: W^2 = -2U^4+20U^2V^2-10V^4: values mod 25 for (U,V) not both divisible by 5: [3, 8, 13, 15, 18, 23]; none is a square mod 25: True\nE': d=-1: W^2 = -U^4+20U^2V^2-20V^4: values mod 16 for (U,V) not both divisible by 2: [12, 15]; none is a square mod 16: True\n#E(F_3) = 2\n#E(F_7) = 10\n" }, { "path": "anc/code/1.2.4/expected/1.2.4b.txt", "size_bytes": 2021, "sha256": "7d8eab32cd82815cdc70639d0b49e2d53cce5fc384a61d268fe21c78b7782ae2", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.4b_quintic_field.gp\ndisc(g)=[2, 6; 5, 5] disc(L)=[2, 6; 5, 5] index=1 sign=[1, 2] h=1 certify=1\nnorms u1,u2,q,l,de,chi: [1, 1, 4, 5, 81, -1296]\nbnfisunit u1,u2: [-1, 0, 1]~[0, 1, 1]~\nminpoly et: x^5 + 10*x^4 + 20*x^3 + 40*x^2 + 20*x + 8 disc [2, 22; 5, 5]\nminpoly chi: x^5 + 20*x^4 + 180*x^3 + 720*x^2 + 1620*x + 1296 disc [2, 22; 3, 12; 5, 5]\nN(a-et b)-F1 = 0 N(3a-chi b)-81F2 = 0\nprimes over 3: [[1, 1], [1, 4]]\nval de at P3: [0, 1] val chi at P3: [0, 1]\nprimes over 2: [[1, 1], [2, 2]] val theta: [1, 0] val q: [0, 1]\nprimes over 5: [[5, 1]] val l: [1]\nF1(2,1)=560 F2(3,1)=4885\nF1 mod 5 == (a-2b)^5: 1 F2 mod 5 == 3(a-3b)^5: 1\ng mod 3 factor: [x + 2, 1; x^4 + x^3 + 2, 1]\n### gp -q 1.2.4b_small_primes.gp\nnorms of the listed generators: [2, 4, 3, 5, 7, 11, 13, -17, -23]\np=2 degrees of g mod p: [1, 2] exponents [1, 2]\n prime ideal of norm 2 (e=1) generated by listed element(s) [x]\n prime ideal of norm 4 (e=2) generated by listed element(s) [x^3 + 2*x^2 + 2*x - 1]\np=3 degrees of g mod p: [1, 4] exponents [1, 1]\n prime ideal of norm 3 (e=1) generated by listed element(s) [2*x^2 + x + 3]\np=5 degrees of g mod p: [1] exponents [5]\n prime ideal of norm 5 (e=5) generated by listed element(s) [x^2 + 1]\np=7 degrees of g mod p: [1, 4] exponents [1, 1]\n prime ideal of norm 7 (e=1) generated by listed element(s) [x^2 + 3]\np=11 degrees of g mod p: [1, 2, 2] exponents [1, 1, 1]\n prime ideal of norm 11 (e=1) generated by listed element(s) [2*x^3 + 3*x - 1]\np=13 degrees of g mod p: [1, 4] exponents [1, 1]\n prime ideal of norm 13 (e=1) generated by listed element(s) [x + 1]\np=17 degrees of g mod p: [1, 4] exponents [1, 1]\n prime ideal of norm 17 (e=1) generated by listed element(s) [x^4 + 4*x^2 + x - 1]\np=19 degrees of g mod p: [5] exponents [1]\np=23 degrees of g mod p: [1, 4] exponents [1, 1]\n prime ideal of norm 23 (e=1) generated by listed element(s) [x^3 - x^2 + 2*x - 1]\ng(5) mod 7 = 0 g(3) mod 17 = 0\ncharacter rows (u1,u2) at (7,theta-5): [0, 1] at (17,theta-3): [1, 0]\n" }, { "path": "anc/code/1.2.4/expected/1.2.4c.txt", "size_bytes": 220, "sha256": "ded760c51855215c775b34a845be65ca80381deabc3ed5c26905b401b68cea34", "mode": 420, "encoding": "utf-8", "text": "### python3 -I 1.2.4c_mod8.py\nsquares: 336\n (i,k)= (0, 0) residues: [(1, 0, 0, 0, 0), (1, 0, 4, 4, 4)]\ng1 #lhs= 32 intersections (1,u1,u2,u1u2): [2, 0, 0, 0]\ng2 #lhs= 32 intersections (1,u1,u2,u1u2): [0, 0, 0, 0]\n" }, { "path": "anc/code/1.2.4/expected/1.2.4d.txt", "size_bytes": 238, "sha256": "43b12244b7908b09305d0943086ed0a5bc87368328043d4b5b1d22ab81b4f253", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.4d_covering_map.gp\nq(t)*(t-eta) == h1(t): 1\ncurve identity (should be 0): 1\ndU/dt = V/v identity: 1\nxi at - branch -> Mod(0, th^5 + 5*th^3 + 5*th - 2) zeta -> Mod(0, th^5 + 5*th^3 + 5*th - 2)\nvaluations (leading) xs:0 zs:0\n" }, { "path": "anc/code/1.2.4/expected/1.2.4e.txt", "size_bytes": 2187, "sha256": "f317a4fc26a599430b2785f766f047f3c5b5927e6c4af59d77933de568b754e3", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.4e_points.gp\non curves: P 1 Q 1 S on E' 1\nphihat(S) on E: 1 phihat(S) == P+T0: 1\n[1, 0, 0] divisible by 2? 0\n[0, 1, 0] divisible by 2? 0\n[1, 1, 0] divisible by 2? 0\n[0, 0, 1] divisible by 2? 0\n[1, 0, 1] divisible by 2? 0\n[0, 1, 1] divisible by 2? 0\n[1, 1, 1] divisible by 2? 0\ntorsion E: [2, [2]] E': [2, [2]]\nsquares in L: 5th^2/l 1 xi(Q)/(u1u2l) 1 xi(S)/(u1u2l) 1\n### gp -q 1.2.4e_rank_simon.gp\nbnfcertify(K) = 1 (class group and units of K proved, so the descent below is unconditional)\n trivial points on E(K) = \n[[0, 0, 1], [0, 0, 1], [1, 1, 0], [0, 0, 1]]\n\n points on E(K) = [[1/4*y^4 + 3/2*y^3 + 1/4*y^2 + 11/2*y - 7/4, 9/8*y^4 - 3/4*y^3 + 25/8*y^2 - 3/4*y + 1/8], [0, 0]]\n\n[E(K):phi'(E'(K))] = 4\n#S^(phi')(E'/K) = 4\n#III(E'/K)[phi'] = 1\n\n trivial points on E'(K) = \n[[0, 0, 1], [0, 0, 1], [1, 1, 0], [0, 0, 1]]\n\n points on E'(K) = [[-y^4 + 2*y^3 - y^2 + 3*y - 1, -3*y^4 - 10*y^3 - 7*y^2 - 10*y + 5], [0, 0]]\n points on E(K) = [[9/4*y^4 + 1/2*y^3 + 49/4*y^2 + 9/2*y + 49/4, 63/8*y^4 + 15/4*y^3 + 327/8*y^2 + 55/4*y + 375/8], [0, 0]]\n\n[E'(K):phi(E(K))] = 4\n#S^(phi)(E/K) = 4\n#III(E/K)[phi] = 1\n\n#III(E/K)[2] = 1\n#E(K)[2] = 2\n#E(K)/2E(K) = 8\nrank = 2\n\n points = [[Mod(1/4*y^4 + 3/2*y^3 + 1/4*y^2 + 11/2*y - 7/4, y^5 + 5*y^3 + 5*y - 2), Mod(9/8*y^4 - 3/4*y^3 + 25/8*y^2 - 3/4*y + 1/8, y^5 + 5*y^3 + 5*y - 2)], [Mod(0, y^5 + 5*y^3 + 5*y - 2), Mod(0, y^5 + 5*y^3 + 5*y - 2)], [Mod(9/4*y^4 + 1/2*y^3 + 49/4*y^2 + 9/2*y + 49/4, y^5 + 5*y^3 + 5*y - 2), Mod(63/8*y^4 + 15/4*y^3 + 327/8*y^2 + 55/4*y + 375/8, y^5 + 5*y^3 + 5*y - 2)], [Mod(0, y^5 + 5*y^3 + 5*y - 2), Mod(0, y^5 + 5*y^3 + 5*y - 2)]]\nRESULT [rank_lower, Selmer-based bound + tors, pts] = [2, 3] time ms 1674\npoints: [[Mod(1/4*y^4 + 3/2*y^3 + 1/4*y^2 + 11/2*y - 7/4, y^5 + 5*y^3 + 5*y - 2), Mod(9/8*y^4 - 3/4*y^3 + 25/8*y^2 - 3/4*y + 1/8, y^5 + 5*y^3 + 5*y - 2)], [Mod(0, y^5 + 5*y^3 + 5*y - 2), Mod(0, y^5 + 5*y^3 + 5*y - 2)], [Mod(9/4*y^4 + 1/2*y^3 + 49/4*y^2 + 9/2*y + 49/4, y^5 + 5*y^3 + 5*y - 2), Mod(63/8*y^4 + 15/4*y^3 + 327/8*y^2 + 55/4*y + 375/8, y^5 + 5*y^3 + 5*y - 2)], [Mod(0, y^5 + 5*y^3 + 5*y - 2), Mod(0, y^5 + 5*y^3 + 5*y - 2)]]\n" }, { "path": "anc/code/1.2.4/expected/1.2.4f.txt", "size_bytes": 894, "sha256": "c79211c521d1d8b543f6718c6b115cc1eca297615cffaaf911a2ecaeb6c23ed1", "mode": 420, "encoding": "utf-8", "text": "### python3 -I 1.2.4f_sieve751.py\nroots of g mod 751: [65, 168, 348, 386, 535]\ntheta=65 #E=768 gen=(7, 285) T=(327, 0) coordP=(2, 0) coordQ=(173, 1) T0=(192, 0)\ntheta=168 #E=768 gen=(3, 240) T=(353, 0) coordP=(82, 0) coordQ=(295, 1) T0=(192, 0)\ntheta=348 #E=768 gen=(2, 293) T=(463, 0) coordP=(302, 0) coordQ=(357, 0) T0=(192, 0)\ntheta=386 #E=768 gen=(4, 72) T=(69, 0) coordP=(314, 0) coordQ=(85, 0) T0=(192, 0)\ntheta=535 #E=768 gen=(1, 7) T=(554, 0) coordP=(342, 0) coordQ=(379, 0) T0=(192, 0)\n|H|= 36864 index= 7247757312\nP 3-part (coef of order-3 elt): [1, 2, 1, 1, 0] raw mod 3: [2, 1, 2, 2, 0]\nQ 3-part (coef of order-3 elt): [1, 2, 0, 2, 2] raw mod 3: [2, 1, 0, 1, 1]\nresidues with points in all factors: 57 product points tested: 1674 survivors: [('inf', (None, None, None, None, None)), ('inf', ((236, 412), (212, 626), (20, 21), (186, 286), (485, 689)))]\ntime 0.02991485595703125\n" }, { "path": "anc/code/1.2.4/expected/1.2.4g.txt", "size_bytes": 414, "sha256": "ea3987aaf1d5d91d81845f247954c05d19c26c8c03abc68fdc3fa1d5fc5f52ee", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.4g_logs751.gp\nroots mod p^3: [30368252, 51283705, 229643381, 365409950, 170424214]~\norders P: [192, 192, 192, 192, 64] Q: [384, 384, 128, 384, 384]\nlog P / p mod p^2: [423722, 191178, 352807, 294331, 252200]\nlog Q / p mod p^2: [330447, 456587, 117975, 48293, 396869]\nc mod p: [626, 131, 473, 0, 0] sum c mod p: 479\ncheck c.logP, c.logQ (mod p^2 approx): 0 0\nrank mod p of [LP;LQ] first 3 coords: 2\n" }, { "path": "anc/code/1.2.6/expected/1.2.6a.txt", "size_bytes": 995, "sha256": "650d82be61fc8c36006e28e7033a958cead3024f55b2aeef9c56443a5ab5cc68", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.6a_identities.gp\nirreducible: 1 disc(g)=[2, 4; 3, 2; 5, 5]\nminpoly et: x^5 + 15*x^4 + 120*x^3 + 360*x^2 + 720*x + 432 chi: x^5 - 60*x^3 + 360*x^2 - 900*x + 864\ndisc h1: [2, 24; 3, 10; 5, 5] disc h2: [2, 16; 3, 10; 5, 5]\nN(2a-et b) - 16F1: 0\nN(2a-chi(a+b)) - 8F2: 0\nj=1 form: 1\nj=2 form: 1\n### python3 -I 1.2.6a_mod8.py\ndistinct squares mod 8: 336\nj= 1 #lhs= 16 intersections: [0, 0, 0, 0, 0, 0, 0, 0]\nj= 2 #lhs= 16 intersections: [0, 0, 0, 0, 0, 0, 0, 0]\n### gp -q 1.2.6a_quintic_field.gp\ndisc 450000 sign [1, 2] h 1 zk [1, x, x^2 - 2, x^3 - x^2 - 3*x + 2, x^4 - 4*x^2 - x + 2]\ncertify 1\nN(e1),N(e2),N(th-2),N(q)=[1, 1, 2, 4]\nisunit e1,e2: [1, 0, 0]~[0, -1, 0]~\nfact 2: [[2, [2, 1, 0, 0, 0]~, 1, 1, [1, 4, 2, 2, -2; 1, 2, 4, -2, 2; 1, 2, 2, 2, 2; 0, 2, 0, 0, 2; 1, 0, 0, 0, 0]], 1; [2, [1, 1, 1, 0, 0]~, 2, 2, [0, 0, 2, -4, 0; 0, 0, 0, 2, -2; 0, 0, 0, 0, 2; 1, -1, 0, 0, 0; 0, 1, -1, 0, 0]], 2]\nprimes over 5 [e,f]: [[5, 1]]\nresidues at (7,th-3): [4, 6] at (13,th-9): [6, 6]\n" }, { "path": "anc/code/1.2.6/expected/1.2.6b.txt", "size_bytes": 810, "sha256": "cc96b18e2015b83b8db94a7eafdbf7d949a2350be3ba92d6fd0b63d839f96a9f", "mode": 420, "encoding": "utf-8", "text": "### python3 -I 1.2.6b_congruences.py\n== 1.2.6 (x^5+y^4=3z^2) ==\n(a+b sqrt3)^5 = a*(a**4 + 30*a**2*b**2 + 45*b**4) + sqrt3* b*(5*a**4 + 30*a**2*b**2 + 9*b**4)\n j=1 rational part = 2*F + 3*G ? True\n j=2 rational part = 7*F + 12*G ? True\nu even, b odd: c^2 mod 16 = [13] squares mod 16: [0,1,4,9]\n (3.1) RHS mod 16, r,s odd : [7, 15]\n (3.1) RHS mod 16, r=0 mod 4, s odd : [13]\n (3.1) RHS mod 16, r=2 mod 4, s odd : [1]\n (3.1) RHS mod 16, r odd, s=2 mod 4 : [5]\n (3.1) RHS mod 16, r odd, 4|s : [1]\n (5r^4+9s^4) mod 3 (3!|rs): [2]\nN(alpha) - (r^4-15r^2s^2+45s^4): 0\n sigma=1: Y^2 - f(X) for (3.11): 0\n sigma=-1: Y^2 - f(X) for (3.11): 0\nf(-9) = 46656 = 216^2 = 46656\n (u,r,s)=(1, 1, 0) -> (x,y,z)=(-1,1,0), x^5+y^4-3z^2=0\n (u,r,s)=(1, 2, 1) -> (x,y,z)=(11,-29,538), x^5+y^4-3z^2=0\n" }, { "path": "anc/code/1.2.6/expected/1.2.6c.txt", "size_bytes": 340, "sha256": "f193668b9475c687bc1f6f9d55eba63d26ac505fcfa15d46eb39048959e49b6b", "mode": 420, "encoding": "utf-8", "text": "### python3 -I 1.2.6c_local_test.py\nsigma 1 local image sizes at 2: 4 (coarse 4 ) at 3: 2\n norm cond: 256 after 2: 4 after 3: 1 survivors: [(0, 0)] [((1, 0), (1, 0))]\nsigma -1 local image sizes at 2: 6 (coarse 6 ) at 3: 2\n norm cond: 256 after 2: 8 after 3: 2 survivors: [(11, 13), (26, 25)] [((0, -3), (-6, 0)), ((6, 3), (3, -6))]\n" }, { "path": "anc/code/1.2.6/expected/1.2.6d.txt", "size_bytes": 1397, "sha256": "6c8c935b322dc3b7bd93321965d7f0a8473873f03a7a913d6f4dafc674e7e511", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.6d_rank_simon.gp\nbnfcertify(K) = 1 (class group and units of K proved, so the descent below is unconditional)\nrho^2+30rho+45=Mod(0, y^2 - y - 1) tau^2-45=Mod(0, y^2 - y - 1)\nE0: [r,s]=[0, 2] pts=[] ms=124\nE1: [r,s]=[1, 3] pts=[[Mod(-10*y + 20, y^2 - y - 1), Mod(-80*y + 120, y^2 - y - 1)], [Mod(-12*y + 21, y^2 - y - 1), Mod(-90*y + 135, y^2 - y - 1)], [Mod(36*y + 12, y^2 - y - 1), Mod(-180*y - 180, y^2 - y - 1)], [Mod(18*y, y^2 - y - 1), Mod(72, y^2 - y - 1)]] ms=96\nE2: [r,s]=[1, 3] pts=[[Mod(-2*y + 1, y^2 - y - 1), Mod(-5*y + 5, y^2 - y - 1)], [Mod(45*y + 30, y^2 - y - 1), Mod(-450*y - 270, y^2 - y - 1)], [Mod(-9*y + 27, y^2 - y - 1), Mod(-45*y + 90, y^2 - y - 1)], [Mod(-15*y + 24, y^2 - y - 1), Mod(-54*y + 90, y^2 - y - 1)]] ms=74\nE0 torsion: [4, [2, 2]]\nE1 torsion: [4, [2, 2]]\nE2 torsion: [4, [2, 2]]\nP1 on E1: 1 P2 on E2: 1\n### gp -q 1.2.6d_kummer.gp\nE1: independence check done; delta(P)=[Mod(18*y, y^2 - y - 1), Mod(24, y^2 - y - 1)]\nE2: independence check done; delta(P)=[Mod(-2*y + 1, y^2 - y - 1), Mod(7*y - 11, y^2 - y - 1)]\nE1: delta(P1)*(2e,6) squares? [1, 1]\nE2: delta(T0)*(-e,3d) squares? [1, 1]\n### gp -q 1.2.6d_reductions.gp\nE0 p=11 roots [4, 8] orders [8, 12]\nE0 p=19 roots [5, 15] orders [16, 12]\nE1 p=11 roots [4, 8] orders [8, 12]\nE1 p=19 roots [5, 15] orders [16, 28]\nE2 p=11 roots [4, 8] orders [12, 16]\nE2 p=19 roots [5, 15] orders [28, 24]\n" }, { "path": "anc/code/1.2.6/expected/1.2.6e.txt", "size_bytes": 283, "sha256": "a493b3919aa50428dfeaa3ee0ac7dffcc30dfc49ec5d197ade630985a51818d4", "mode": 420, "encoding": "utf-8", "text": "### python3 -I 1.2.6e_coset_sieves.py\nE1 p=89 orders=[80, 96] |H|=480 index=16 |coset|=60 (O,O) in coset: False\n survivors: [(80, (2, 17), (16, 17)), (80, (2, 72), (16, 72))]\nE2 p=11 orders=[12, 16] |H|=96 index=2 |coset|=12 (O,O) in coset: False\n survivors: [(0, (0, 0), (0, 0))]\n" }, { "path": "anc/code/1.2.6/expected/1.2.6f.txt", "size_bytes": 379, "sha256": "e714e41d0dd5911dcbc3f6baa2819ac8b91412c7d19168facd6b166035073988", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.6f_logs.gp\nE1 at 89: [e mod p^3, n, log/p mod p^2] = [[215123, 20, 2490], [489847, 24, 2948]]\nE2 at 11: [[37, 6, 117], [1295, 8, 76]]\n### python3 -I 1.2.6f_constants.py\nE1 at 89: lambda1/144 in the two embeddings = [32, 78] ; c1.(.) = 63 26\nE2 at 11: c2.(-e/W) for W=(1,1),(1,-1),(-1,1),(-1,-1): [5, 3, 8, 6]\nc1 from (2490,2948): (11, 2) c2 from (117,76): (10, 4)\n" }, { "path": "anc/code/1.2.7/expected/1.2.7a.txt", "size_bytes": 749, "sha256": "37a4e5f3d253cc552e35ec614879b9030d683478c58701a0b3a77440c8f49482", "mode": 420, "encoding": "utf-8", "text": "### python3 -I 1.2.7a_mod16.py\nF mod16 with a=-5u^2, opposite parity: [1, 9, 13] -5c^2 mod16: [0, 3, 11, 12]\nF mod16 general opposite parity: [1, 5, 9, 13]\nc^2=F, u even, b odd: [13] squares: [0, 1, 4, 9]\nneg case RHS mod16: [3, 7, 11] u^4 odd: [1]\nparity r,s 1 1 RHS mod16 [5, 13]\nparity r,s 0 1 RHS mod16 [9, 13]\nparity r,s 1 0 RHS mod16 [1, 13]\nr odd, s=2 mod 4: [13]\n### python3 -I 1.2.7a_identities.py\n== 1.2.7 (x^5+y^4+3z^2) ==\n(a+b sqrt(-3))^5 = a*(a**4 - 30*a**2*b**2 + 45*b**4) + sqrt(-3)* b*(5*a**4 - 30*a**2*b**2 + 9*b**4)\nF mod 16 when a=-5u^2, a+b odd: [1, 9, 13] -5c^2 mod 16: [0, 3, 11, 12]\n (a even forces u even, hence 4|a: True )\nN(alpha) - (r^4+15r^2s^2+45s^4): 0\nY^2 - f(X) for (2.11): 0\nf(-1) = 3344 f(-1/3) = 200384/243\n" }, { "path": "anc/code/1.2.7/expected/1.2.7b.txt", "size_bytes": 681, "sha256": "a33e108029a97a1911956102b3e0694d8614ae67194c44a73198dfbfe997a614", "mode": 420, "encoding": "utf-8", "text": "### python3 -I 1.2.7b_selmer_J.py\nPARI stack size set to 200000000 bytes, maximum size set to 200003584\nth2 root: Mod(0, y^2 - 5) th3 root: Mod(0, y^2 - 5)\ndisc f = [2, 14; 3, 20; 5, 10]\nK: h = 1 fu = [Mod(-1/2*y + 1/2, y^2 - 5)]\np 2 dec in K: [[1, 2]]\np 3 dec in K: [[1, 2]]\np 5 dec in K: [[2, 1]]\np 2 Gram rank Q_p 3 K_p 4\np 3 Gram rank Q_p 2 K_p 2\np 5 Gram rank Q_p 2 K_p 2\np 2 torsion span size 4\n p 2 new point X= -1\n p 2 new point X= -1/3\np 2 local image size 16 expected 16\np 3 torsion span size 4\np 3 local image size 4 expected 4\np 5 torsion span size 4\np 5 local image size 4 expected 4\nSelmer survivors (a,b,q): [(0, 0, 1), (2, 26, -5), (25, 3, 5), (27, 25, -1)]\n" }, { "path": "anc/code/1.2.7/expected/1.2.7c.txt", "size_bytes": 482, "sha256": "ffad7484b29cf3b0badfac65509cc66d70824dd33472c9bab4ed2653e6c472db", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.2.7c_point_counts.gp\np=7 #J(F_p)=20 #H(F_p)=2\np=11 #J(F_p)=144 #H(F_p)=12\np=13 #J(F_p)=196 #H(F_p)=14\np=17 #J(F_p)=324 #H(F_p)=18\np=19 #J(F_p)=400 #H(F_p)=20\np=23 #J(F_p)=580 #H(F_p)=26\ndirect #H(F_7)=2\ndirect #H(F_11)=12\ndirect #H(F_13)=14\np=7 #H(F_p)=2 #H(F_p^2)=50 (h1^2+h2)/2-p=20 #J(F_p) from charpoly=20\np=11 #H(F_p)=12 #H(F_p^2)=166 (h1^2+h2)/2-p=144 #J(F_p) from charpoly=144\np=13 #H(F_p)=14 #H(F_p^2)=222 (h1^2+h2)/2-p=196 #J(F_p) from charpoly=196\n" }, { "path": "anc/code/1.3.1/expected/1.3.1a.txt", "size_bytes": 1096, "sha256": "a8c5b519ad664ecbf94aae2bb07cc9dfb7e4ecacf83d44d7c7dd4236022621a5", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.3.1a_field_F.gp\n *** Warning: new stack size = 200000000 (190.735 Mbytes).\ndisc -31 sign [1, 1] h 1 cyc []\nbnfcertify 1\nfu [Mod(x, x^3 + x + 1)] tu [2, -1]\nisunit alpha: [1, 0]~\nnorm alpha -1\nfact 31 [[31, [-14, 0, 1]~, 2, 1, [10, -14, -15; 1, 11, 14; 14, -1, 10]], 2; [31, [-3, 0, 1]~, 1, 1, [9, -3, -4; 1, 10, 3; 3, -1, 9]], 1]\nN(A)=31 fact(A) Mat([[31, [-14, 0, 1]~, 2, 1, [10, -14, -15; 1, 11, 14; 14, -1, 10]], 1])\nN(alpha-3)=-31 N(3a^2+4)=31 N(3a^2+a+1)=31\nfact(3a^2+4) Mat([[31, [-3, 0, 1]~, 1, 1, [9, -3, -4; 1, 10, 3; 3, -1, 9]], 1])\nfact(3a^2+a+1) Mat([[31, [-3, 0, 1]~, 1, 1, [9, -3, -4; 1, 10, 3; 3, -1, 9]], 1])\nidentity: 0\nG(X, aX) = 3*X^2*x^2 + X^2\n(t-a)g(t) = (t^3 + t + 1)\n### gp -q 1.3.1a_powers.gp\ns=-1 k=0 square? 0 4th? 0\ns=1 k=0 square? 1 4th? 1\ns=-1 k=1 square? 0 4th? 0\ns=1 k=1 square? 0 4th? 0\ns=-1 k=2 square? 0 4th? 0\ns=1 k=2 square? 1 4th? 0\ns=-1 k=3 square? 0 4th? 0\ns=1 k=3 square? 0 4th? 0\npairs equal mod 4th powers: 0\nroots of g in F: []\n-(3a^2+4) sq: 0 (3a^2+4) sq: 0\n-(3a^2+a+1) sq: 0 (3a^2+a+1) sq: 0\na+1 = -a^3: unit; (a+1) 4th? 0 -(a+1) sq? 0\n" }, { "path": "anc/code/1.3.1/expected/1.3.1b.txt", "size_bytes": 388, "sha256": "1c5fdfda7d8c43189d069d11b5bf3f705ae3db1771d1e483b74ec4dc71c9f835", "mode": 420, "encoding": "utf-8", "text": "### python3 -I 1.3.1b_local_exclusion.py\n3 1 k= 3 {1: 0, -1: 0} {1: [], -1: []}\n3 2 k= 3 {1: 0, -1: 0} {1: [], -1: []}\n13 1 k= 2 {1: 0, -1: 0} {1: [], -1: []}\n13 1 k= 2 {1: 0, -1: 0} {1: [], -1: []}\ncontrol 3 2 k= 0 {1: 3, -1: 3}\ncontrol 3 2 k= 1 {1: 9, -1: 9}\ncontrol 13 1 k= 0 {1: 6, -1: 6}\ncontrol 13 1 k= 1 {1: 3, -1: 3}\ncontrol 3 2 k= 2 {1: 3, -1: 3}\ncontrol 13 1 k= 3 {1: 9, -1: 9}\n" }, { "path": "anc/code/1.3.1/expected/1.3.1c.txt", "size_bytes": 2173, "sha256": "ae90b827a260dc65e0878b680e7462a2892a7c67c84171a49f9375d41ea365f5", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.3.1c_conic_quartic.gp\nconic check: Mod(0, y^3 + y + 1)\nQ(m0)-V0^2 = Mod(0, y^3 + y + 1) t(m0)=Mod(0, y^3 + y + 1)\nmonic quartic in s: Mod((-12/31*s^3 + 448/961*s - 656/961)*y^2 + (-36/31*s^3 + 848/961*s + 1504/961)*y + (s^4 + 4/31*s^3 + 1504/961*s - 1104/961), y^3 + y + 1)\nb=-12/31*y^2 - 36/31*y + 4/31 c=0 d=448/961*y^2 + 848/961*y + 1504/961 e=-656/961*y^2 + 1504/961*y - 1104/961\na2=Mod(0, y^3 + y + 1) a4=39936/29791*y^2 - 205568/29791*y + 169216/29791 a6=Mod(0, y^3 + y + 1)\na4 - k1 = Mod(0, y^3 + y + 1)\nk1/(3a^2+a+1) = 3280128/923521*y^2 - 1777920/923521*y + 3192064/923521 vs ((40a^2-4a+28)/31)^4 = 3280128/923521*y^2 - 1777920/923521*y + 3192064/923521\n### gp -q 1.3.1c_identities.gp\nconic: U(m)^2 + al g(t(m)) = 0 U(m)(m^2+al)^2 - Q(m) = 0\nQ(m0) - V0^2 = Mod(0, y^3 + y + 1) t(m0) = Mod(0, y^3 + y + 1)\nquartic: type t_POL, degree 4, leading coeff Mod(1, y^3 + y + 1), s^2-coeff Mod(0, y^3 + y + 1)\nb = -12/31*y^2 - 36/31*y + 4/31 d = 448/961*y^2 + 848/961*y + 1504/961 e = -656/961*y^2 + 1504/961*y - 1104/961\nWeierstrass model W^2 = X^3 + c X^2 + (bd-4e) X + (d^2+b^2e-4ce): c = Mod(0, y^3 + y + 1) bd-4e - k1 = Mod(0, y^3 + y + 1) a6 = Mod(0, y^3 + y + 1)\nk1/(3a^2+a+1) - ((40a^2-4a+28)/31)^4 = Mod(0, y^3 + y + 1)\nquartic -> E1 lands on E1: 1\nE1 -> quartic lands on the quartic: 1\nquartic -> E1 -> quartic is the identity: [1, 1]\nE1 -> quartic -> E1 is the identity: [1, 1]\nquartic -> G1 lands on G1 (Y^4 + al g(t) = 0): 1\n### python3 -I 1.3.1c_mapcheck.py\nq= 1000000000039 points: 300 on E: 300 roundtrip: 300 Y^4=-a g(t): 300 a6 check c= 0\n### gp -q 1.3.1c_point_R1.gp\n *** Warning: new stack size = 64000000 (61.035 Mbytes).\nA1 = 39936/29791*y^2 - 205568/29791*y + 169216/29791\nR1 X=264/961*y^2 - 324/961*y - 212/961 W=[Mod(-23104/29791*y^2 - 33848/29791*y - 49008/29791, y^3 + y + 1), Mod(23104/29791*y^2 + 33848/29791*y + 49008/29791, y^3 + y + 1)]\npaper R1 = [264/961*y^2 - 324/961*y - 212/961, 23104/29791*y^2 + 33848/29791*y + 49008/29791]\nP0 on E0: 1\nR1 on E1: 1 t1(R1) num/den: [0, 183810496/28629151*y^2 - 65158016/28629151*y - 239018048/28629151]\n t1(-R1) num/den: [0, 0]\nR1 == paper's R1: 0 -R1 == paper's R1: 1\n" }, { "path": "anc/code/1.3.1/expected/1.3.1d.txt", "size_bytes": 3150, "sha256": "f12c7616559cc4461f0a701effdd6ec407e3fb7e276c4fc48e304eac0384542c", "mode": 420, "encoding": "utf-8", "text": "### gp -q 1.3.1d_rank_simon.gp\n=== E0\n trivial points on E(K) = \n[[0, 0, 1], [0, 0, 1], [1, 1, 0], [-y, 2, 1], [0, 0, 1]]\n\n points on E(K) = [[-y, 2, 1], [4*y^2 - 3*y + 4, 8*y^2 - 8*y + 14]]\n\n[E(K):phi'(E'(K))] = 4\n#S^(phi')(E'/K) = 4\n#III(E'/K)[phi'] = 1\n\n trivial points on E'(K) = \n[[0, 0, 1], [0, 0, 1], [1, 1, 0], [0, 0, 1], [-y^2 + 3*y, -y^2 + 4*y - 3, 1]]\n\n points on E'(K) = [[-y^2 + 3*y, -y^2 + 4*y - 3, 1]]\n points on E(K) = [[3/4*y^2 - 1/4*y + 1, 9/8*y^2 - 3/2*y + 15/8]]\n\n[E'(K):phi(E(K))] = 2\n#S^(phi)(E/K) = 2\n#III(E/K)[phi] = 1\n\n#III(E/K)[2] = 1\n#E(K)[2] = 2\n#E(K)/2E(K) = 4\nrank = 1\n\n points = [[Mod(-y, y^3 + y + 1), 2, 1], [Mod(4*y^2 - 3*y + 4, y^3 + y + 1), Mod(8*y^2 - 8*y + 14, y^3 + y + 1)], [Mod(3/4*y^2 - 1/4*y + 1, y^3 + y + 1), Mod(9/8*y^2 - 3/2*y + 15/8, y^3 + y + 1)]]\n[1, 2, [[Mod(-y, y^3 + y + 1), 2, 1], [Mod(4*y^2 - 3*y + 4, y^3 + y + 1), Mod(8*y^2 - 8*y + 14, y^3 + y + 1)], [Mod(3/4*y^2 - 1/4*y + 1, y^3 + y + 1), Mod(9/8*y^2 - 3/2*y + 15/8, y^3 + y + 1)]]]\n=== E1\n trivial points on E(K) = \n[[0, 0, 1], [0, 0, 1], [1, 1, 0], [0, 0, 1]]\n\n points on E(K) = [[0, 0]]\n\n[E(K):phi'(E'(K))] = 2\n#S^(phi')(E'/K) = 2\n#III(E'/K)[phi'] = 1\n\n trivial points on E'(K) = \n[[0, 0, 1], [0, 0, 1], [1, 1, 0], [0, 0, 1], [-y^2 + 3*y, -y^2 + 2*y + 3, 1]]\n\n points on E'(K) = [[-4*y, 4*y + 4], [0, 0]]\n points on E(K) = [[-1/4*y^2 - 1/4*y, 1/8*y^2 - 3/4*y - 7/8], [0, 0]]\n\n[E'(K):phi(E(K))] = 4\n#S^(phi)(E/K) = 4\n#III(E/K)[phi] = 1\n\n#III(E/K)[2] = 1\n#E(K)[2] = 2\n#E(K)/2E(K) = 4\nrank = 1\n\n points = [[Mod(0, y^3 + y + 1), Mod(0, y^3 + y + 1)], [Mod(-1/4*y^2 - 1/4*y, y^3 + y + 1), Mod(1/8*y^2 - 3/4*y - 7/8, y^3 + y + 1)], [Mod(0, y^3 + y + 1), Mod(0, y^3 + y + 1)]]\n[1, 2, [[Mod(0, y^3 + y + 1), Mod(0, y^3 + y + 1)], [Mod(-1/4*y^2 - 1/4*y, y^3 + y + 1), Mod(1/8*y^2 - 3/4*y - 7/8, y^3 + y + 1)], [Mod(0, y^3 + y + 1), Mod(0, y^3 + y + 1)]]]\n### python3 -I 1.3.1d_index.py\nE0 P halving quartic roots in F: [] x(Pt)= -y\nE0 P+T halving quartic roots in F: [] x(Pt)= 4*y^2 - 3*y + 4\nE0 cards at 47 [48, 48, 48]\nE0 cards at 67 [68, 68, 68]\nE0 l= 3 certificate place (p, r, N): (11, 2, 12)\nE0 l= 11 certificate place (p, r, N): (43, 38, 44)\nE0 l= 17 certificate place (p, r, N): (67, 13, 68)\nE0 l= 47 certificate place (p, r, N): (1879, 342, 1880)\nE0 l= 67 certificate place (p, r, N): (1607, 1154, 1608)\nE0 l= 131 certificate place (p, r, N): (523, 114, 524)\nE1 P halving quartic roots in F: [] x(Pt)= 264/961*y^2 - 324/961*y - 212/961\nE1 P+T halving quartic roots in F: [] x(Pt)= 1152/31*y^2 - 512/31*y + 1600/31\nE1 cards at 47 [48, 48, 48]\nE1 cards at 67 [68, 68, 68]\nE1 l= 3 certificate place (p, r, N): (11, 2, 12)\nE1 l= 11 certificate place (p, r, N): (43, 38, 44)\nE1 l= 17 certificate place (p, r, N): (67, 13, 68)\nE1 l= 47 certificate place (p, r, N): (1879, 342, 1880)\nE1 l= 67 certificate place (p, r, N): (1607, 1154, 1608)\nE1 l= 131 certificate place (p, r, N): (523, 114, 524)\n### python3 -I 1.3.1d_index_place11.py\n[Mod(2, 11)]~\n[12, Mod(9, 11), Mod(2, 11)]\n[Mod(9, 11), Mod(2, 11)]\n1\n" }, { "path": "anc/code/1.3.1/expected/1.3.1e.txt", "size_bytes": 1520, "sha256": "5cd72f02ad321b4e0209c795ef46dfb5190e9bc3a3177ca484d64fda4381dbd3", "mode": 420, "encoding": "utf-8", "text": "### python3 -I 1.3.1e_sieve47.py\nt1(R1) = [Mod(0, y^3 + y + 1), Mod(183810496/28629151*y^2 - 65158016/28629151*y - 239018048/28629151, y^3 + y + 1)]\nroots [Mod(25, 47), Mod(34, 47), Mod(35, 47)]~\nE0 place alpha=25: #E=48, ord(P)=24, #pts listed=48, 0/0 count=0, A mod v=Mod(46, 47)\nE0 place alpha=34: #E=48, ord(P)=4, #pts listed=48, 0/0 count=0, A mod v=Mod(41, 47)\nE0 place alpha=35: #E=48, ord(P)=12, #pts listed=48, 0/0 count=0, A mod v=Mod(13, 47)\nE0 survivors (n,e,t): [(0, 0, 'inf'), (0, 1, 'inf')]\nE1 place alpha=25: #E=48, ord(P)=24, #pts listed=48, 0/0 count=1, A mod v=Mod(37, 47)\nE1 place alpha=34: #E=48, ord(P)=6, #pts listed=48, 0/0 count=1, A mod v=Mod(32, 47)\nE1 place alpha=35: #E=48, ord(P)=6, #pts listed=48, 0/0 count=1, A mod v=Mod(41, 47)\nE1 survivors (n,e,t): [(0, 0, 0), (1, 0, 0), (23, 0, '0/0')]\n### python3 -I 1.3.1e_minus_R1.py\nNN(X1)=-692736/923521*y^4 + 2438400/923521*y^3 - 692736/923521*y^2 + 1745664/923521*y + 2438400/923521\nrem (-692736/923521*y^4 + 2438400/923521*y^3 - 692736/923521*y^2 + 1745664/923521*y + 2438400/923521)\ns(-R1) = 21577/21762*y^2 - 18845/21762*y + 21989/21762\nt(-R1) = -5910190800/7665527809*y^2 - 7647951024/7665527809*y + 9542354352/7665527809\n25 Nbar(-R1) mod v: Mod(7, 47) q(X1) mod v: Mod(23, 47) s mod v: Mod(5, 47) t(-R1) mod v: Mod(2, 47)\n34 Nbar(-R1) mod v: Mod(8, 47) q(X1) mod v: Mod(42, 47) s mod v: Mod(32, 47) t(-R1) mod v: Mod(30, 47)\n35 Nbar(-R1) mod v: Mod(39, 47) q(X1) mod v: Mod(22, 47) s mod v: Mod(28, 47) t(-R1) mod v: Mod(45, 47)\n" }, { "path": "anc/code/1.3.1/expected/1.3.1f.txt", "size_bytes": 838, "sha256": "713c62a5c95ce1ff601b8f3f94cf0833135489cb8f10d3d51ad9d8486e0d6a72", "mode": 420, "encoding": "utf-8", "text": "### python3 -I 1.3.1f_strassmann.py\nsizes: [5750, 22847]\nE0 R0=O: v(lambda_j)= [1, 1, 1] h=f1-f2 coeff valuations a0..a6: ['inf/0', 'inf/0', 2, 'inf/0', 5, 'inf/0', 6] h-valuation-in-S: 2\n (f1-f3) vals: ['z', 'z', 2, 'z', 4]\n precision of a2: 32 a1: None\nE0 R0=T: v(lambda_j)= [1, 1, 1] h=f1-f2 coeff valuations a0..a6: ['inf/0', 'inf/0', 2, 'inf/0', 5, 'inf/0', 6] h-valuation-in-S: 2\n (f1-f3) vals: ['z', 'z', 2, 'z', 4]\n precision of a2: 32 a1: None\nE1 R0=O: v(lambda_j)= [1, 1, 1] h=f1-f2 coeff valuations a0..a6: ['inf/0', 1, 2, 3, 4, 5, 6] h-valuation-in-S: 1\n (f1-f3) vals: ['z', 1, 2, 3, 4]\n precision of a2: 32 a1: 31\nE1 R0=R1: v(lambda_j)= [1, 1, 1] h=f1-f2 coeff valuations a0..a6: ['inf/0', 1, 2, 3, 4, 5, 6] h-valuation-in-S: 1\n (f1-f3) vals: ['z', 1, 2, 3, 4]\n precision of a2: 32 a1: 31\n" }, { "path": "anc/code/1.3.2/expected/1.3.2a_check_exact.txt", "size_bytes": 278, "sha256": "41e1fac26c12dbe80c67815f5e75ad188ce5e1d7d7f48d04b6b470cc28462298", "mode": 420, "encoding": "utf-8", "text": "2T == 0: True T != 0: True\nK(2G) = [32, -128, -52, -441]\nK(G) = [1, -2, -1, -7] K(T)= [2, -2, -1, -5]\n1 quartic: True Phi: False\n2 quartic: True Phi: True\n3 quartic: True Phi: False\n5 quartic: True Phi: False\n7 quartic: True Phi: False\nG+T quartic True\ntime 0.2951197624206543\n" }, { "path": "anc/code/1.3.2/expected/1.3.2a_check_lifts.txt", "size_bytes": 824, "sha256": "82783d657391918d85902c995b0873f8802c23bf42b2d2ab79f7675b2608e9ea", "mode": 420, "encoding": "utf-8", "text": "class 14: patch 0, m=3 consistency True, val(c1)=[99, 1, 1, 1] val(c2)=[99, 2, 2, 2]\n level1 m mod 29: [7] -> n mod 899: [231] claim 231\n level2 m mod 841: [587] -> n mod 26071: [18211] claim 18211\nclass 17: patch 0, m=3 consistency True, val(c1)=[99, 1, 1, 1] val(c2)=[99, 2, 2, 2]\n level1 m mod 29: [21] -> n mod 899: [668] claim 668\n level2 m mod 841: [253] -> n mod 26071: [7860] claim 7860\nclass 2: patch 0, m=3 consistency True, val(c1)=[99, 1, 1, 1] val(c2)=[99, 2, 2, 2]\n level1 m mod 29: [0] -> n mod 899: [2] claim 2\n level2 m mod 841: [0] -> n mod 26071: [2] claim 2\nclass 29: patch 0, m=3 consistency True, val(c1)=[99, 1, 1, 1] val(c2)=[99, 2, 2, 2]\n level1 m mod 29: [28] -> n mod 899: [897] claim 897\n level2 m mod 841: [840] -> n mod 26071: [26069] claim 26069\ntime 0.276503324508667\n" }, { "path": "anc/code/1.3.2/expected/1.3.2a_check_p113.txt", "size_bytes": 2642, "sha256": "088233c98066c4619494f15416c0da08f55212f3e2d2c0e033966b22ce865b17", "mode": 420, "encoding": "utf-8", "text": "ord(G mod 113) = 6728 factor 2^3 * 29^2 edge cases [10, 40, 62, 122, 270, 314, 444, 528, 658, 878, 892, 948, 1018, 1020, 1100, 1118, 1122, 1126, 1134, 1208, 1354, 1390, 1402, 1450, 1524, 1550, 1618, 1624, 1664, 1682, 1742, 1748, 1818, 1908, 1910, 1924, 1946, 2020, 2104, 2174, 2186, 2358, 2386, 2392, 2504, 2598, 2616, 2652, 2654, 2788, 2852, 3024, 3124, 3168, 3216, 3240, 3262, 3324, 3350, 3378, 3404, 3466, 3488, 3512, 3560, 3604, 3704, 3876, 3940, 4074, 4076, 4112, 4130, 4224, 4336, 4342, 4370, 4542, 4554, 4624, 4708, 4782, 4804, 4818, 4820, 4910, 4980, 4986, 5046, 5064, 5104, 5110, 5178, 5204, 5278, 5326, 5338, 5374, 5520, 5594, 5602, 5606, 5610, 5628, 5708, 5710, 5780, 5836, 5850, 6070, 6200, 6284, 6414, 6458, 6606, 6666, 6688, 6718]\nn mod 6728 with n mod 841 in {291,550} on Gamma mod 113: [] unknown: []\nall n mod 6728 on Gamma mod 113 (e=0): [0, 2, 56, 266, 290, 306, 308, 326, 352, 354, 422, 426, 430, 448, 582, 598, 664, 700, 1000, 1056, 1116, 1180, 1228, 1244, 1336, 1422, 1596, 1654, 1690, 1790, 1840, 1868, 1874, 1926, 1954, 2018, 2038, 2068, 2224, 2252, 2268, 2360, 2460, 2490, 2538, 2638, 2646, 2776, 2806, 2936, 2942, 2970, 2992, 3132, 3166, 3196, 3202, 3282, 3446, 3526, 3532, 3562, 3596, 3736, 3758, 3786, 3792, 3922, 3952, 4082, 4090, 4190, 4238, 4268, 4368, 4460, 4476, 4504, 4660, 4690, 4710, 4774, 4802, 4854, 4860, 4888, 4938, 5038, 5074, 5132, 5306, 5392, 5484, 5500, 5548, 5612, 5672, 5728, 6028, 6064, 6130, 6146, 6280, 6298, 6302, 6306, 6374, 6376, 6402, 6420, 6422, 6438, 6462, 6672, 6726] their residues mod 841: [0, 2, 8, 15, 28, 33, 56, 63, 82, 86, 108, 115, 123, 141, 158, 159, 162, 163, 168, 177, 186, 192, 198, 215, 232, 243, 244, 253, 255, 259, 260, 266, 271, 272, 275, 283, 290, 299, 306, 308, 326, 336, 339, 346, 352, 354, 356, 372, 386, 387, 393, 394, 403, 411, 413, 415, 419, 422, 426, 428, 430, 438, 447, 448, 454, 455, 469, 485, 487, 489, 495, 502, 505, 515, 533, 535, 542, 551, 558, 566, 569, 570, 575, 581, 582, 586, 588, 597, 598, 609, 626, 643, 649, 655, 664, 673, 678, 679, 682, 683, 700, 718, 726, 733, 755, 759, 778, 785, 808, 813, 826, 833, 839]\np=5 ord 31 list [(0, 0), (2, 0, '?'), (3, 0, '?'), (6, 0, '?'), (8, 0, '?'), (10, 0, '?'), (11, 0, '?'), (12, 0), (14, 0, '?'), (15, 0), (16, 0), (17, 0, '?'), (19, 0), (20, 0, '?'), (21, 0, '?'), (23, 0, '?'), (25, 0, '?'), (28, 0, '?'), (29, 0, '?'), (2, 1, '?'), (3, 1, '?'), (7, 1, '?'), (10, 1, '?'), (12, 1, '?'), (14, 1, '?'), (17, 1, '?'), (19, 1, '?'), (21, 1, '?'), (24, 1, '?'), (28, 1, '?'), (29, 1, '?')]\np=29 ord 31 list [(0, 0), (2, 0), (14, 0, '?'), (17, 0, '?'), (29, 0), (8, 1, '?'), (23, 1, '?')]\ntime 7.793726682662964\n" }, { "path": "anc/code/1.3.2/expected/1.3.2a_check_sieve_local.txt", "size_bytes": 808, "sha256": "d7eb711edd16ddfc4310c400af0d3fb2f9dd2d69e171ed0ccaa7c262e1b643fc", "mode": 420, "encoding": "utf-8", "text": "edge cases: [] []\nmax digits K(nG) n=126: 9631\np=5: n in 1..31 with nG=0 mod p: [31]\n sieve list: [(0, 0), (2, 0), (8, 0), (11, 0), (12, 0), (14, 0), (15, 0), (16, 0), (17, 0), (19, 0), (20, 0), (23, 0), (29, 0)]\np=29: n in 1..31 with nG=0 mod p: [31]\n sieve list: [(0, 0), (2, 0), (14, 0), (17, 0), (29, 0)]\nval K(31G): [2, 2, 2, 0]\navec: [4, 27, 22]\nL_i = coeff of k4^2: [True, True] k4^4,k4^3 terms zero: [True, True]\nL(avec): [4, 23] L(9,10,6): [13, 24]\nbase2 [1, 25, 2, 27] dir2 [0, 17, 9, 15] min val of diff [+Infinity, 1, 1, 1]\nderivs [23, 9]\nPhi val at 31G: [4, 4]\nPhi val at 62G: [4, 4]\nPhi val at 93G: [4, 4]\nPhi val at 124G: [4, 4]\nPhi val at 33G: [1, 1]\nPhi val at 29G: [1, 1]\nPhi val at 64G: [1, 1]\nPhi val at 60G: [1, 1]\nPhi val at 95G: [1, 1]\nPhi val at 91G: [1, 1]\ntime 80.8264467716217\n" }, { "path": "anc/code/1.3.2/expected/1.3.2a_extra.txt", "size_bytes": 470, "sha256": "b464ea045b24b6004b2a873390103d6709366e577868caca399e56eca29af361", "mode": 420, "encoding": "utf-8", "text": "Q1(V)+F, Q2(V)+F, Q3(V)-2F: [0, 0, 0]\nh = 6*s^6 + 22*s^5 + 15*s^4 - 14*s^3 - 7*s^2 + 6*s - 1\nfactor h: [2*s^2 + 2*s - 1, 1; 3*s^4 + 8*s^3 + s^2 - 4*s + 1, 1]\nDelta-(rt+2) = r^4 + (-t^3 - t)*r - 1 (= -F: 1)\nF(1,t) = t^3 + t F(-1,t) = -t^3 - t\nrt=-2 => -r^2*F = Mat([r^6 + r^2 + 8, 1]) real roots of r^6+r^2+8: 0\npartials: Fx Fy Fz = [4*X^3 + 2*Z*Y*X, Z*X^2 + (-4*Y^3 + Z^3), Y*X^2 + 3*Z^2*Y]\nF_y at x^2=-3z^2, y=6z: -866*Z^3\nK(2G) -> (1 : -4 : -13/8): [1, -4, -13/8]\n" }, { "path": "anc/code/1.3.2/expected/1.3.2a_sieve_certificate.txt", "size_bytes": 990, "sha256": "c4902aa348a037608fff251cc0bd8881a9f9319bd8e453d81f361025d6786ece", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 8\r\nfull Mordell-Weil group\r\nAbelian Group isomorphic to Z/2 + Z\r\nDefined on 2 generators\r\nRelations:\r\n 2*A.1 = 0\r\nfinite index true proved true rank upper bound 1\r\nfinite sieves p=5,p=29 [ <0, 0>, <2, 0>, <8, 0>, <11, 0>, <12, 0>, <14, 0>, <15,\r\n0>, <16, 0>, <17, 0>, <19, 0>, <20, 0>, <23, 0>, <29, 0> ]\r\n[ <0, 0>, <2, 0>, <14, 0>, <17, 0>, <29, 0> ]\r\n29-adic necessary residues [ 0, 31, 62, 93, 124, 155, 186, 217, 248, 279, 310,\r\n341, 372, 403, 434, 465, 496, 527, 558, 589, 620, 651, 682, 713, 744, 775, 806,\r\n837, 868, 2, 231, 668, 897 ]\r\n[ 2, 18211, 7860, 26069 ]\r\np=113 eliminates residues 291 and 550 mod 841 true\r\nformal local data at 0 and +/-2 [ 9, 10, 6 ]\r\n[ 13, 24 ]\r\n[ 1, 25, 2, 27 ]\r\n[ 0, 17, 9, 15 ]\r\n[ 23, 9 ]\r\nonly possible MW classes are 0 and +/-2G; +/-2 come from (+/-1:1:0) true\r\nfunction-field substitution in image and Kummer equations true\r\nall tangent/base-point exceptions and the identity fiber are excluded true\r\nPKG_OK\r\nPKG_MAGMA_END\r\n" }, { "path": "anc/code/1.3.2/expected/1.3.2b_check_generic.txt", "size_bytes": 147, "sha256": "dd608a5942ed1c1db31296b9894038165f4ee4cbeb7c65d070b5b2937fbed018", "mode": 420, "encoding": "utf-8", "text": "{'irr_ok': 191, 'irr_bad': 0, 'split_ok': 210, 'split_bad': 0, 'phi_irr_ok': 191, 'phi_irr_bad': 0, 'phi_split_onegood': 210, 'phi_split_none': 0}\n" }, { "path": "anc/code/1.3.2/expected/1.3.2b_symbolic_map.txt", "size_bytes": 192, "sha256": "f49e8db5c44e6e2b9bcb187983e159ee3b6b2782febb85160fb343e754c4b669", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 8\r\ncommon Kummer coordinate factor degree 1\r\nsymbolic substitution in both image quartics and Kummer quartic true\r\nk4 numerator degree data 26 24\r\nPKG_OK\r\nPKG_MAGMA_END\r\n" }, { "path": "anc/code/1.3.2/expected/1.3.2c_check_fibers.txt", "size_bytes": 1588, "sha256": "8f0d7af102142747bed8c93946f3929471147bc6a03d19203c4145e273321586", "mode": 420, "encoding": "utf-8", "text": "singular locus ideal radical: Ideal (Z, Y, X) of Multivariate Polynomial Ring in X, Y, Z over Rational Field dim 0\nX=0 restriction: (-Y + Z) * Y * (Y^2 + Y*Z + Z^2)\nmatrices match (3): True\nV on quadrics mod F: [True, True, True]\nV^T M w == 0 identically: [0, 0, 0]\nminor == den/4: True\nden-(rt+2) in (F): True\nr^6+r^2+8 real roots: []\nq1 denominator factor: (256) * (-r^4 + r*t^3 - 1)^2\nq2 denominator factor: (64) * (-r^4 + r*t^3 - 1)^2\nq3 denominator factor: (1024) * (-r^4 + r*t^3 - 1)^2\nnonzero-fiber GB: [r^4 - r*t - 1, r^2*t^2 - t^2, t^3]\ndisc denominator: (1073741824) * (-r^4 + r*t^3 - 1)^4\nresultant factorization: [(1, 4), (1, 4), (1, 4), (2, 4), (8, 1), (8, 1), (24, 1)] unit 19342813113834066795298816\n small factor r - 1 4\n factor deg 1 irreducible: True rational roots: [(1, 1)]\n small factor r 4\n factor deg 1 irreducible: True rational roots: [(0, 1)]\n small factor r + 1 4\n factor deg 1 irreducible: True rational roots: [(-1, 1)]\n small factor r^2 + 1 4\n factor deg 2 irreducible: True rational roots: []\n factor deg 8 irreducible: True rational roots: []\n factor deg 8 irreducible: True rational roots: []\n factor deg 24 irreducible: True rational roots: []\nresultant / expected is constant: 19342813113834066795298816\n(r^2-1)^2(r^2+1)^2 in I: True t-r^7+r^3 in I: True\nr=1,t=0: explicit w(16) degenerates (w=V): True q= [0, 0, 0] (boundary points need another complement; Magma script uses one)\nr=-1,t=0: explicit w(16) degenerates (w=V): False q= [0, 0, 0] (boundary points need another complement; Magma script uses one)\ntime 3.364110231399536\n" }, { "path": "anc/code/1.3.2/expected/1.3.2c_zero_fiber.txt", "size_bytes": 443, "sha256": "a2d3a473c23d1f3d061e7f198e24e4b9d02b387391a39f6ad97dc0c0f1af4596", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 8\r\nq2=q3 simultaneous-vanishing elimination polynomials [\r\n ,\r\n ,\r\n \r\n]\r\n-r^7 + r^3 + t\r\ndenominator identity modulo curve true\r\nresultant scalar relative to displayed factorization 1/64\r\ndiscriminant resultant factor degrees/exponents [ <1, 4>, <1, 4>, <1, 4>, <2,\r\n4>, <8, 1>, <8, 1>, <24, 1> ]\r\nno rational discriminant-zero point with r*t nonzero true\r\nPKG_OK\r\nPKG_MAGMA_END\r\n" }, { "path": "anc/code/1.3.2/expected/1.3.2d_deficiency.txt", "size_bytes": 218, "sha256": "54cc8828f8ee7fe5a2e96c257e76607cb76bf3fe194e78d29211677477e9eba4", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 10\nE02 bad primes [ 2, 3, 433 ]\ndeficient (0 = infinity) [ <2, true>, <3, false>, <433, false>, <0, false> ]\n #deficient places 1\n #TwoSelmerGroup 8 J[2](Q) size 2\n small points on H {@ @}\n" }, { "path": "anc/code/1.3.2/expected/1.3.2d_mordell_weil.txt", "size_bytes": 391, "sha256": "8d970c00ef2c7996b057e69a2af20979c3b9756aa6052d9faf4abe3f749a182b", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 10\n== E02 factors [ <2, 1>, <4, 1> ]\n rank bounds 1 1 #Sel2 8 torsion [ 2 ]\n MW [ 2, 0 ]\n finite_index true proved true rank_upper 1\n gen 1 order 2 (x^2 + x - 1/2, 0, 2)\n gen 2 order 0 (x^2 + 2*x - 1, 2*x - 1, 2)\n height 1.3968654622486495785068973342381\nE02 claimed point (x^2 + x - 1/2, 0, 2) = MW.1\nE02 claimed point (x^2 + 2*x - 1, 2*x - 1, 2) = MW.2\n" }, { "path": "anc/code/1.3.2/expected/1.3.2e_nonzero_fiber.txt", "size_bytes": 158, "sha256": "9c0e1750c6193d7c7f18abb371c5ca94080320caf08d96a577b9068b897ce0c3", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 8\r\nfiber Groebner basis [\r\n r^4 - r*t - 1,\r\n r^2*t^2 - t^2,\r\n t^3\r\n]\r\nfiber points [ <-1, 0>, <1, 0> ]\r\nPKG_OK\r\nPKG_MAGMA_END\r\n" }, { "path": "anc/code/1.3.3/expected/1.3.3a_certificate.txt", "size_bytes": 39, "sha256": "45d5bab76efcdffe9a8aca6492c6994d33c87850051188816909ab6bd9073fbb", "mode": 420, "encoding": "utf-8", "text": "CERTIFIED: all exact assertions passed\n" }, { "path": "anc/code/1.3.3/expected/1.3.3a_extra.txt", "size_bytes": 351, "sha256": "4c300f8194c7de331e8297f766cd6694b2ebd76268589c08a08dbd1a2ccb7b29", "mode": 420, "encoding": "utf-8", "text": "A^-1 = [0, -1, 0; 1, 0, 0; 0, -1, -1]\na,b,c = [2*s, -s^2 - 1, -s^2]\nb(b^2-ac) = -s^6 - 2*s^5 - 3*s^4 - 2*s^3 - 3*s^2 - 1 == -(s^2+1)(s^4+2s^3+2s^2+1): 1\n(2X+y^2)^2-(y^4-4y^3+4y) - 4*(X^2+y^2*X+y^3-y) = 0\nE: conductor 37 j 110592/37 ; Y^2=X^3-16X+16: conductor 37 j 110592/37 same minimal model: 1 [0, 0, 1, -1, 0]\nL3(1), L5(1) = 28, 352 gcd = 4\n" }, { "path": "anc/code/1.3.3/expected/1.3.3b_check_counts.txt", "size_bytes": 74, "sha256": "d62e4105120da1346fb56087e068444136e3b11ba26a5595f6c0252ec4ad7c68", "mode": 420, "encoding": "utf-8", "text": "E04 [[3, 1], [5, 1], [7, 1], [11, 1], [13, 1], [17, 1], [19, 1], [23, 1]]\n" }, { "path": "anc/code/1.3.3/expected/1.3.3b_prym_lpoly.txt", "size_bytes": 221, "sha256": "204c26400b55864c3401cbf775517615d534b20c1944ce384017c6ea6a0467dc", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 10\nE04 quotient W^2 = x^4 - 4*x^3 + 4*x\n L(C)=L(C/iota)L(H) holds at [ 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79 ]\n FAILS at []\n skipped (bad reduction) [ 37 ]\n" }, { "path": "anc/code/1.3.3/expected/1.3.3c_mordell_weil.txt", "size_bytes": 193, "sha256": "48c8fd17e122be5dd341b05f896bd421e7f263dc61a0d299f83e33e156018d8a", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 10\n== E04 factors [ <2, 1>, <4, 1> ]\n rank bounds 0 0 #Sel2 2 torsion [ 2 ]\n MW [ 2 ]\n finite_index true proved true rank_upper 0\n gen 1 order 2 (x^2 + 1, 0, 2)\n" }, { "path": "anc/code/1.3.4/expected/1.3.4a_certificate.txt", "size_bytes": 996, "sha256": "813673750df4ef9d0a092c22ca3ef3ce29555d53938ce7328cdc5717fd027d8e", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 8\r\nC_Q nonsingular true genus 3\r\nA\r\n[ 1 -1 0]\r\n[ 0 -1 0]\r\n[ 1 1 1]\r\nA inverse\r\n[ 1 -1 0]\r\n[ 0 -1 0]\r\n[-1 2 1]\r\na,b,c -s^2 + 1\r\n2*s^2 - 2*s - 1\r\ns^2\r\nPrym genus-2 polynomial 10*s^6 - 26*s^5 + 9*s^4 + 18*s^3 - 5*s^2 - 6*s - 1\r\nH genus 2 JH rank bounds 0 0 JH torsion invariants [ 2 ]\r\ncertified Mordell-Weil\r\nAbelian Group isomorphic to Z/2\r\nDefined on 1 generator\r\nRelations:\r\n 2*MW.1 = 0\r\ntrue true 0\r\np 5 C nonsingular true class invariants [ 110, 0 ]\r\nL(C)=L(E)L(H) true 125*x^6 - 50*x^5 + 40*x^4 - 12*x^3 + 8*x^2 - 2*x + 1\r\n5*x^2 - x + 1\r\n25*x^4 - 5*x^3 + 2*x^2 - x + 1\r\np 7 C nonsingular true class invariants [ 2, 140, 0 ]\r\nL(C)=L(E)L(H) true 343*x^6 - 98*x^5 + 63*x^4 - 36*x^3 + 9*x^2 - 2*x + 1\r\n7*x^2 + 2*x + 1\r\n49*x^4 - 28*x^3 + 10*x^2 - 4*x + 1\r\np 11 C nonsingular true class invariants [ 17, 68, 0 ]\r\nL(C)=L(E)L(H) true 1331*x^6 - 242*x^5 + 66*x^4 - 4*x^3 + 6*x^2 - 2*x + 1\r\n11*x^2 + 5*x + 1\r\n121*x^4 - 77*x^3 + 30*x^2 - 7*x + 1\r\nPKG_OK\r\nPKG_MAGMA_END\r\n" }, { "path": "anc/code/1.3.4/expected/1.3.4a_check_counts.txt", "size_bytes": 142, "sha256": "5320b272fb0a7c88fa9c04a413aca0c980d9d0c4ab4e20dda78bd57c6d47f8d3", "mode": 420, "encoding": "utf-8", "text": "E05 [[5, 1], [7, 1], [11, 1], [13, 1], [17, 1], [19, 1], [23, 1]]\nE05-twist(-1) [[5, 1], [7, 0], [11, 0], [13, 1], [17, 1], [19, 0], [23, 0]]\n" }, { "path": "anc/code/1.3.4/expected/1.3.4a_check_rr.txt", "size_bytes": 274, "sha256": "8980218a627c51538d63f14c7e6edcd6d868a17ed05eb2cf32b87925ee9d5649", "mode": 420, "encoding": "utf-8", "text": "E05 Ai Matrix([[1, -1, 0], [0, -1, 0], [-1, 2, 1]])\n a,b,c= 1 - s**2 2*s**2 - 2*s - 1 s**2 f_H= 10*s**6 - 26*s**5 + 9*s**4 + 18*s**3 - 5*s**2 - 6*s - 1 (2*s**2 - 2*s - 1)*(5*s**4 - 8*s**3 - s**2 + 4*s + 1)\nE05 smooth mod 5 True\nE05 smooth mod 7 True\nE05 smooth mod 11 True\n" }, { "path": "anc/code/1.3.4/expected/1.3.4b_check_q2.txt", "size_bytes": 55, "sha256": "932504571b7ba4edd151d0186074af2d81b89c3d8034342129fade1fdeab1d73", "mode": 420, "encoding": "utf-8", "text": "f mod 8 on Z_2: [3, 7]\ns^-6 f mod 4 near infinity: [2]\n" }, { "path": "anc/code/1.3.4/expected/1.3.4b_deficiency.txt", "size_bytes": 218, "sha256": "caf5d103a97c05f68096d061ff31344fcc88841b8a50fcb1fae3b55fb7766ab8", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 10\nE05 bad primes [ 2, 3, 431 ]\ndeficient (0 = infinity) [ <2, true>, <3, false>, <431, false>, <0, false> ]\n #deficient places 1\n #TwoSelmerGroup 4 J[2](Q) size 2\n small points on H {@ @}\n" }, { "path": "anc/code/1.3.5/expected/1.3.5a_check_smooth.txt", "size_bytes": 136, "sha256": "cbd1feb048ffb7f27a46d4eee657169d88f5c5c6ae61ffc5c81ba9ee2ebbcca2", "mode": 420, "encoding": "utf-8", "text": "E07 smooth mod 3 True\nE07 smooth mod 5 True\nE07 smooth mod 11 True\nE07 smooth mod 17 True\nE07 smooth mod 19 True\nE07 smooth mod 53 True\n" }, { "path": "anc/code/1.3.5/expected/1.3.5a_reductions.txt", "size_bytes": 300, "sha256": "459513d99c7cd3766e1250f27be3e696c5bf205e327f88b18503b5632ec35854", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 8\r\np 3 smooth true invariants [ 40, 0 ]\r\np 5 smooth true invariants [ 6, 72, 0 ]\r\np 11 smooth true invariants [ 3, 468, 0 ]\r\np 17 smooth true invariants [ 4, 1316, 0 ]\r\np 19 smooth true invariants [ 6240, 0 ]\r\np 53 smooth true invariants [ 2, 87570, 0 ]\r\nPKG_OK\r\nPKG_MAGMA_END\r\n" }, { "path": "anc/code/1.3.5/expected/1.3.5b_check_determinant.txt", "size_bytes": 108, "sha256": "1c68e54a722071c64d81ac495a91b428e21530cd8e9fda8790eaf7df6cacfb1b", "mode": 420, "encoding": "utf-8", "text": "GB(curve, 3x3 minors of tangent matrix): [r, t**3 + t]\nFpol = -x**6 - 2*x**5 + 3*x**4 + 2*x**3 - 3*x**2 + 1\n" }, { "path": "anc/code/1.3.5/expected/1.3.5b_check_mordell_weil.txt", "size_bytes": 374, "sha256": "b176fb335b77faef6a6d2ea44e25c62a8e318bcb46c624b7816b1147a55d58c3", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 10\n== E07 factors [ <1, 1>, <1, 1>, <4, 1> ]\n rank bounds 1 1 #Sel2 4 torsion [ 2 ]\n MW [ 2, 0 ]\n finite_index true proved true rank_upper 1\n gen 1 order 2 (x^2 - 1, 0, 2)\n gen 2 order 0 (x^2 + x, -x - 1, 2)\n height 0.26930252756556990003493641314842\nE07 claimed point (x^2 - 1, 0, 2) = MW.1\nE07 claimed point (x^2 + x, -x - 1, 2) = MW.2\n" }, { "path": "anc/code/1.3.5/expected/1.3.5b_check_prym_lpoly.txt", "size_bytes": 221, "sha256": "c94a2126e88d1d92d42b3668b46d5a3c34be2b39acea8b86810e6c782865a692", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 10\nE07 quotient W^2 = x^4 - 4*x^3 - 4*x\n L(C)=L(C/iota)L(H) holds at [ 3, 5, 11, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79 ]\n FAILS at []\n skipped (bad reduction) [ 7, 13 ]\n" }, { "path": "anc/code/1.3.5/expected/1.3.5b_check_tangent.txt", "size_bytes": 189, "sha256": "4e2e34112716390310b268408e6fce96f3b71bde8c7ef5f44271bdfb24257cf1", "mode": 420, "encoding": "utf-8", "text": "point on quadrics mod rel: [0, 0, 0]\nw with w_0=0: c3*B+2*c2*A2 = 0 ; c3*A0-c1*A2 = 0 ; c3 mod rel nonzero: True\nw with w_2=0: c3*B+2*c2*A2 = 0 ; c3*A0-c1*A2 = 0 ; c3 mod rel nonzero: True\n" }, { "path": "anc/code/1.3.5/expected/1.3.5b_core_certificate.txt", "size_bytes": 158, "sha256": "045df391f23bd2349be6bae9a56940c8a53b69c065f83562e284584e54050fa4", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 8\r\nCERTIFIED T6(7) CORE true true 1 known classes [\r\n -4*MW.2,\r\n 4*MW.2\r\n]\r\ngeneric image identities true\r\nPKG_OK\r\nPKG_MAGMA_END\r\n" }, { "path": "anc/code/1.3.5/expected/1.3.5c_check_sieve.txt", "size_bytes": 298, "sha256": "53fe2b6cd8a08bf10dad8a9a176ccf9b0e4dc3ef9b266c1c91db11b161a8372b", "mode": 420, "encoding": "utf-8", "text": "sieve mod 3 (reduce K(eT+nG) over Q):\n e 0 surv [0, 1, 4]\n e 1 surv []\n periodicity mod 5 of reductions OK\nID Mahler (v,res): [(100, 0), (5, 1), (5, 2), (7, 2), (8, 2), (7, 1), (7, 1)]\nB Mahler (v,res): [(100, 0), (2, 2), (2, 2), (3, 1), (4, 2), (5, 2), (7, 1), (8, 1)]\nv3 h(r), r=2,5,8: [3, 3, 3]\n" }, { "path": "anc/code/1.3.5/expected/1.3.5c_kummer_sieve.txt", "size_bytes": 5489, "sha256": "fb99784ea7896459e94c9fd4e35e7256462aafe57b35189ed555fe55de39615e", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 8\r\np 3 ordG 5 surv [\r\n [ 0, 1, 4 ],\r\n []\r\n]\r\np 5 ordG 12 surv [\r\n [ 0, 4, 8 ],\r\n [ 2, 6, 10 ]\r\n]\r\np 11 ordG 13 surv [\r\n [ 0, 3, 4, 9, 10 ],\r\n []\r\n]\r\np 17 ordG 94 surv [\r\n [ 0, 4, 10, 18, 22, 35, 40, 41, 53, 54, 59, 72, 76, 84, 90 ],\r\n [ 6, 7, 12, 25, 29, 37, 43, 47, 51, 57, 65, 69, 82, 87, 88 ]\r\n]\r\np 19 ordG 104 surv [\r\n [ 0, 1, 3, 4, 8, 23, 24, 38, 66, 80, 81, 96, 100, 101, 103 ],\r\n []\r\n]\r\np 23 ordG 256 surv [\r\n [ 0, 4, 16, 34, 40, 52, 56, 74, 104, 120, 136, 152, 182, 200, 204, 216, 222,\r\n 240, 252 ],\r\n []\r\n]\r\np 29 ordG 436 surv [\r\n [ 0, 4, 16, 28, 36, 40, 68, 112, 132, 136, 140, 156, 164, 180, 208, 212,\r\n 224, 228, 256, 272, 280, 296, 300, 304, 324, 368, 396, 400, 408, 420, 432 ],\r\n [ 6, 10, 38, 54, 62, 78, 82, 86, 106, 150, 178, 182, 190, 202, 214, 218,\r\n 222, 234, 246, 254, 258, 286, 330, 350, 354, 358, 374, 382, 398, 426, 430 ]\r\n]\r\np 31 ordG 98 surv [\r\n [ 0, 4, 34, 64, 94 ],\r\n [ 15, 45, 49, 53, 83 ]\r\n]\r\np 37 ordG 420 surv [\r\n [ 0, 4, 84, 132, 156, 264, 288, 336, 416 ],\r\n [ 54, 78, 126, 206, 210, 214, 294, 342, 366 ]\r\n]\r\np 41 ordG 189 surv [\r\n [ 0, 4, 27, 33, 42, 55, 60, 72, 76, 81, 92, 97, 108, 113, 117, 129, 134,\r\n 147, 156, 162, 185 ],\r\n []\r\n]\r\np 43 ordG 436 surv [\r\n [ 0, 4, 7, 17, 29, 61, 62, 67, 81, 87, 100, 123, 124, 125, 132, 158, 161,\r\n 167, 209, 212, 224, 227, 269, 275, 278, 304, 311, 312, 313, 336, 349, 355,\r\n 369, 374, 375, 407, 419, 429, 432 ],\r\n []\r\n]\r\np 47 ordG 1294 surv [\r\n [ 0, 4, 36, 46, 54, 72, 82, 154, 244, 268, 294, 346, 356, 446, 472, 484,\r\n 508, 562, 564, 600, 626, 630, 640, 642, 652, 654, 664, 668, 694, 730, 732,\r\n 786, 810, 822, 848, 938, 948, 1000, 1026, 1050, 1140, 1212, 1222, 1240,\r\n 1248, 1258, 1290 ],\r\n []\r\n]\r\np 53 ordG 1390 surv [\r\n [ 0, 4, 46, 152, 206, 234, 250, 256, 262, 272, 278, 288, 346, 360, 390, 398,\r\n 400, 418, 426, 444, 448, 466, 486, 496, 498, 506, 522, 550, 638, 682, 708,\r\n 752, 840, 868, 884, 892, 894, 904, 924, 942, 946, 964, 972, 990, 992, 1000,\r\n 1030, 1044, 1102, 1112, 1118, 1128, 1134, 1140, 1156, 1184, 1238, 1344, 1386\r\n ],\r\n []\r\n]\r\np 59 ordG 404 surv [\r\n [ 0, 4, 16, 20, 50, 64, 66, 82, 92, 94, 96, 106, 108, 112, 114, 124, 134,\r\n 146, 156, 164, 180, 192, 212, 224, 240, 248, 258, 270, 280, 290, 292, 296,\r\n 298, 308, 310, 312, 322, 338, 340, 354, 384, 388, 400 ],\r\n [ 202 ]\r\n]\r\np 61 ordG 1178 surv [\r\n [ 0, 4, 24, 32, 38, 40, 46, 48, 106, 112, 116, 138, 172, 176, 216, 220, 226,\r\n 228, 244, 256, 276, 318, 346, 364, 368, 384, 396, 410, 436, 452, 460, 466,\r\n 474, 490, 514, 518, 538, 568, 572, 588, 590, 606, 610, 640, 660, 664, 688,\r\n 704, 712, 718, 726, 742, 768, 782, 794, 810, 814, 832, 860, 902, 922, 934,\r\n 950, 952, 958, 962, 1002, 1006, 1040, 1062, 1066, 1072, 1130, 1132, 1138,\r\n 1140, 1146, 1154, 1174 ],\r\n []\r\n]\r\np 67 ordG 1102 surv [\r\n [ 0, 4, 6, 26, 34, 44, 48, 70, 92, 106, 112, 122, 130, 140, 160, 164, 186,\r\n 194, 232, 274, 284, 380, 406, 432, 444, 456, 468, 492, 502, 504, 522, 524,\r\n 526, 534, 568, 576, 578, 580, 598, 600, 610, 634, 646, 658, 670, 696, 722,\r\n 818, 828, 870, 908, 916, 938, 942, 962, 972, 980, 990, 996, 1010, 1032,\r\n 1054, 1058, 1068, 1076, 1096, 1098 ],\r\n [ 316, 474, 488, 614, 628, 786 ]\r\n]\r\np 71 ordG 754 surv [\r\n [ 0, 4, 40, 42, 62, 104, 112, 326, 428, 642, 650, 692, 712, 714, 750 ],\r\n [ 51, 265, 273, 315, 335, 337, 373, 377, 381, 417, 419, 439, 481, 489, 703 ]\r\n]\r\np 73 ordG 966 surv [\r\n [ 0, 4, 42, 88, 194, 286, 306, 340, 390, 406, 482, 484, 560, 576, 626, 660,\r\n 680, 772, 878, 924, 962 ],\r\n [ 1, 77, 93, 143, 177, 197, 289, 395, 441, 479, 483, 487, 525, 571, 677,\r\n 769, 789, 823, 873, 889, 965 ]\r\n]\r\np 79 ordG 1270 surv [\r\n [ 0, 4, 62, 116, 240, 268, 326, 420, 480, 500, 534, 536, 548, 584, 614, 656,\r\n 686, 722, 734, 736, 770, 790, 850, 944, 1002, 1030, 1154, 1208, 1266 ],\r\n []\r\n]\r\np 83 ordG 3646 surv [\r\n [ 0, 4, 36, 122, 130, 166, 224, 242, 282, 292, 440, 456, 484, 592, 596, 606,\r\n 618, 634, 828, 952, 1048, 1054, 1102, 1114, 1142, 1158, 1390, 1538, 1546,\r\n 1580, 1618, 1710, 1714, 1740, 1752, 1772, 1818, 1828, 1874, 1894, 1906,\r\n 1932, 1936, 2028, 2066, 2100, 2108, 2256, 2488, 2504, 2532, 2544, 2592,\r\n 2598, 2694, 2818, 3012, 3028, 3040, 3050, 3054, 3162, 3190, 3206, 3354,\r\n 3364, 3404, 3422, 3480, 3516, 3524, 3610, 3642 ],\r\n [ 1446, 2200 ]\r\n]\r\np 89 ordG 3730 surv [\r\n [ 0, 4, 34, 110, 146, 212, 302, 310, 462, 486, 508, 534, 604, 768, 770, 782,\r\n 828, 832, 854, 858, 896, 1030, 1034, 1046, 1200, 1206, 1248, 1368, 1404,\r\n 1442, 1456, 1490, 1516, 1596, 1654, 1712, 1740, 1748, 1758, 1972, 1982,\r\n 1990, 2018, 2076, 2134, 2214, 2240, 2274, 2288, 2326, 2362, 2482, 2524,\r\n 2530, 2684, 2696, 2700, 2834, 2872, 2876, 2898, 2902, 2948, 2960, 2962,\r\n 3126, 3196, 3222, 3244, 3268, 3420, 3428, 3518, 3584, 3620, 3696, 3726 ],\r\n [ 107, 117, 125, 153, 211, 269, 349, 375, 409, 423, 461, 497, 617, 659, 665,\r\n 819, 831, 835, 969, 1007, 1011, 1033, 1037, 1083, 1095, 1097, 1261, 1331,\r\n 1357, 1379, 1403, 1555, 1563, 1653, 1719, 1755, 1831, 1861, 1865, 1869,\r\n 1899, 1975, 2011, 2077, 2167, 2175, 2327, 2351, 2373, 2399, 2469, 2633,\r\n 2635, 2647, 2693, 2697, 2719, 2723, 2761, 2895, 2899, 2911, 3065, 3071,\r\n 3113, 3233, 3269, 3307, 3321, 3355, 3381, 3461, 3519, 3577, 3605, 3613, 3623\r\n ]\r\n]\r\np 97 ordG 87 surv [\r\n [ 0, 4, 15, 72, 83 ],\r\n []\r\n]\r\nPKG_OK\r\nPKG_MAGMA_END\r\n" }, { "path": "anc/code/1.3.5/expected/1.3.5d_check_valuations.txt", "size_bytes": 2138, "sha256": "2f5796ebe46f83c9f603877a6573a4901e6b883a08b9527af53f158339a812dd", "mode": 420, "encoding": "utf-8", "text": "sieve mod 3 (reduce K(eT+nG) over Q):\n e 0 surv [0, 1, 4]\n e 1 surv []\n periodicity mod 5 of reductions OK\nID Mahler (v,res): [(100, 0), (5, 1), (5, 2), (7, 2), (8, 2), (7, 1), (7, 1)]\nB Mahler (v,res): [(100, 0), (2, 2), (2, 2), (3, 1), (4, 2), (5, 2), (7, 1), (8, 1)]\nv3 h(r), r=2,5,8: [3, 3, 3]\nidentity disc: m=3^e*a : v(u1),v(u2),v(u3) [claim >=4+2e, =3+2e, =2+2e], v(Phi) [claim 5+4e]\n e=0 a=1 m=1: v(u)=[4, 3, 2] res=[2, 2, 1] vPhi=5 OK\n e=0 a=2 m=2: v(u)=[4, 3, 2] res=[2, 2, 1] vPhi=5 OK\n e=0 a=4 m=4: v(u)=[4, 3, 2] res=[2, 2, 1] vPhi=5 OK\n e=0 a=5 m=5: v(u)=[4, 3, 2] res=[2, 2, 1] vPhi=5 OK\n e=0 a=7 m=7: v(u)=[4, 3, 2] res=[2, 2, 1] vPhi=5 OK\n e=0 a=8 m=8: v(u)=[4, 3, 2] res=[2, 2, 1] vPhi=5 OK\n e=1 a=1 m=3: v(u)=[6, 5, 4] res=[1, 1, 1] vPhi=9 OK\n e=1 a=2 m=6: v(u)=[6, 5, 4] res=[1, 1, 1] vPhi=9 OK\n e=1 a=4 m=12: v(u)=[6, 5, 4] res=[1, 1, 1] vPhi=9 OK\n e=1 a=5 m=15: v(u)=[6, 5, 4] res=[1, 1, 1] vPhi=9 OK\n e=1 a=7 m=21: v(u)=[6, 5, 4] res=[1, 1, 1] vPhi=9 OK\n e=1 a=8 m=24: v(u)=[6, 5, 4] res=[1, 1, 1] vPhi=9 OK\n e=2 a=1 m=9: v(u)=[8, 7, 6] res=[1, 1, 1] vPhi=13 OK\n e=2 a=2 m=18: v(u)=[8, 7, 6] res=[1, 1, 1] vPhi=13 OK\n e=2 a=4 m=36: v(u)=[8, 7, 6] res=[1, 1, 1] vPhi=13 OK\n e=2 a=5 m=45: v(u)=[8, 7, 6] res=[1, 1, 1] vPhi=13 OK\n e=2 a=7 m=63: v(u)=[8, 7, 6] res=[1, 1, 1] vPhi=13 OK\n e=2 a=8 m=72: v(u)=[8, 7, 6] res=[1, 1, 1] vPhi=13 OK\n e=3 a=1 m=27: v(u)=[10, 9, 8] res=[1, 1, 1] vPhi=17 OK\n e=3 a=2 m=54: v(u)=[10, 9, 8] res=[1, 1, 1] vPhi=17 OK\ntime 10.838196754455566\n4G disc: m=3^e*a : v(h(m)) [claim 2+e], residue of h/(9m) [claim 2]\n e=1 a=1: v(h)=3 res(h/9m)=2 v(h/9m)=0\n e=1 a=2: v(h)=3 res(h/9m)=2 v(h/9m)=0\n e=1 a=4: v(h)=3 res(h/9m)=2 v(h/9m)=0\n e=1 a=5: v(h)=3 res(h/9m)=2 v(h/9m)=0\n e=1 a=-1: v(h)=3 res(h/9m)=2 v(h/9m)=0\n e=1 a=-2: v(h)=3 res(h/9m)=2 v(h/9m)=0\n e=2 a=1: v(h)=4 res(h/9m)=2 v(h/9m)=0\n e=2 a=2: v(h)=4 res(h/9m)=2 v(h/9m)=0\n e=2 a=4: v(h)=4 res(h/9m)=2 v(h/9m)=0\n e=2 a=5: v(h)=4 res(h/9m)=2 v(h/9m)=0\n e=2 a=-1: v(h)=4 res(h/9m)=2 v(h/9m)=0\n e=2 a=-2: v(h)=4 res(h/9m)=2 v(h/9m)=0\n e=3 a=1: v(h)=5 res(h/9m)=2 v(h/9m)=0\n e=3 a=-1: v(h)=5 res(h/9m)=2 v(h/9m)=0\ntime 11.51461672782898\n" }, { "path": "anc/code/1.3.5/expected/1.3.5d_mahler.txt", "size_bytes": 1152, "sha256": "51de682455075e18ae7832a01629005400bdd3a3740a0f06d63fa5f37edfcaf0", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 8\r\nIDENTITY VALUES [ <100, 0>, <5, 1>, <5, 1>, <9, 2>, <5, 1>, <5, 1>, <9, 2> ]\r\nIDENTITY MAHLER [ <100, 0>, <5, 1>, <5, 2>, <7, 2>, <8, 2>, <7, 1>, <7, 1> ]\r\nIDENTITY REDUCED AT 3^5 [ 0, 1, 2, 0, 0, 0, 0 ]\r\nDEEP ID 1 VALUES [ <100, 0>, <9, 2>, <9, 2>, <13, 2>, <9, 2>, <9, 2>, <13, 2> ]\r\nDEEP ID 1 MAHLER [ <100, 0>, <9, 2>, <9, 1>, <11, 2>, <10, 1>, <13, 1>, <13, 1>\r\n]\r\nDEEP ID 1 REDUCED [ 0, 2, 1, 0, 0, 0, 0 ]\r\nID COORD 0 [ <4, 2>, <3, 2>, <2, 1>, <0, 1> ]\r\nID COORD 1 [ <6, 1>, <5, 1>, <4, 1>, <0, 1> ]\r\nB VALUES [ <100, 0>, <2, 2>, <3, 2>, <3, 2>, <2, 2> ]\r\nB MAHLER [ <100, 0>, <2, 2>, <2, 2>, <3, 1>, <4, 2> ]\r\nB REDUCED AT 3^2 [ 0, 2, 2, 0, 0 ]\r\nB2 VALUES [ <100, 0>, <3, 2>, <4, 2>, <4, 2>, <3, 2>, <4, 2>, <4, 1> ]\r\nB2 MAHLER [ <100, 0>, <3, 2>, <3, 2>, <4, 1>, <5, 2>, <6, 2>, <8, 1> ]\r\nGLOBAL KUMMER ZERO 0 0\r\nB ALL MOD27 [ <0, 100>, <1, 2>, <2, 3>, <3, 3>, <4, 2>, <5, 3>, <6, 3>, <7, 2>,\r\n<8, 3>, <9, 4>, <10, 2>, <11, 3>, <12, 3>, <13, 2>, <14, 3>, <15, 3>, <16, 2>,\r\n<17, 3>, <18, 4>, <19, 2>, <20, 3>, <21, 3>, <22, 2>, <23, 3>, <24, 3>, <25, 2>,\r\n<26, 3> ]\r\nB HENSEL MOD27 [ <0, 100> ]\r\nPKG_OK\r\nPKG_MAGMA_END\r\n" }, { "path": "anc/code/1.3.5/expected/1.3.5e_check_fiber.txt", "size_bytes": 202, "sha256": "f2386d7463cfe1297cf82f0576ce56360673d2e77136445cf6dc69a5ef285cab", "mode": 420, "encoding": "utf-8", "text": "GB fiber K(4G): [R - 1, t]\nGB A2=B=0: [R, t]\nRes_R(curve,A2) factors: (1, [(t, 1), (t**11 + 16*t**10 - 16*t**9 - 44*t**8 + 70*t**7 + 12*t**6 + 168*t**5 - 116*t**4 + 57*t**3 - 156*t**2 + 40*t + 32, 1)])\n" }, { "path": "anc/code/1.3.5/expected/1.3.5e_fiber.txt", "size_bytes": 215, "sha256": "9607b52bbe0b8c83aca88d50924babd249ab00016d5475892333e2cfd7fed53e", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 8\r\nGROEBNER BASIS [\r\n R - 1,\r\n t\r\n]\r\nSPECIALIZED COEFFICIENTS -8 4 3\r\nDEGREE-ZERO TANGENT SUBCASE GROEBNER BASIS [\r\n R,\r\n t\r\n]\r\nCONSTANT DIVISOR LIFTS {@ @}\r\nPKG_OK\r\nPKG_MAGMA_END\r\n" }, { "path": "anc/code/1.3.6/expected/1.3.6a_check_lpolys.txt", "size_bytes": 272, "sha256": "9d458ebff8a021a6d21985bed62aafb3c0895ea4bc6a0aef18b1e4c150776068", "mode": 420, "encoding": "utf-8", "text": "p=5 #J_C(F_p)=198 = [2, 1; 3, 2; 11, 1] ; #E*#J_H=198\np=7 #J_C(F_p)=396 = [2, 2; 3, 2; 11, 1] ; #E*#J_H=396\np=11 #J_C(F_p)=1280 = [2, 8; 5, 1] ; #E*#J_H=1280\np=13 #J_C(F_p)=3456 = [2, 7; 3, 3] ; #E*#J_H=3456\np=47 #J_C(F_p)=80640 = [2, 8; 3, 2; 5, 1; 7, 1] ; #E*#J_H=80640\n" }, { "path": "anc/code/1.3.6/expected/1.3.6a_check_model.txt", "size_bytes": 469, "sha256": "54f99a69fe2635e2177c2b5d2bd0bad61cce8dec5396b9ad59dce6c5c8dc6638", "mode": 420, "encoding": "utf-8", "text": "E09 H: 2*s**5 + 6*s**4 - 4*s**3 - 10*s**2 + 12*s - 4 factored: 2*(s**2 + 2*s - 2)*(s**3 + s**2 - 2*s + 1)\n E09 on D: -X**4 - X**2*Y**2 - Y**3*Z - Z**4 ratio to F: -1\n E09 on D: -(X**4 + X**2*Y**2 + Y**3*Z + Z**4)/2 ratio to F: -1/2\n E09 on D: (X**4 + X**2*Y**2 + Y**3*Z + Z**4)/2 ratio to F: 1/2\nE09 Ai Matrix([[0, -1, 0], [1/2, -1/2, -1/2], [1/2, 1/2, 1/2]]) det 2\n a,b,c= s**2/2 + s s**2/2 - s - 1 s**2/2 - s RR f= -(s**2 - 2*s - 2)*(s**3 - s**2 - 2*s - 1)/2\n" }, { "path": "anc/code/1.3.6/expected/1.3.6a_check_padic47.txt", "size_bytes": 609, "sha256": "d91df1b09241217f341451c317dba7cef18bbb9cd3f1062a5ebcc2df2ed54b24", "mode": 420, "encoding": "utf-8", "text": "m=1 coord vals [2, 2, 2, 0] normalized dir [24, 7, 1] v(PHI1)=4 v(PHI2)=4 approx_digits=861\nm=2 coord vals [2, 2, 2, 0] normalized dir [2, 28, 4] v(PHI1)=4 v(PHI2)=4 approx_digits=3445\nm=3 coord vals [2, 2, 2, 0] normalized dir [28, 16, 9] v(PHI1)=4 v(PHI2)=4 approx_digits=7751\nm=4 coord vals [2, 2, 2, 0] normalized dir [8, 18, 16] v(PHI1)=4 v(PHI2)=4 approx_digits=13780\nm=5 coord vals [2, 2, 2, 0] normalized dir [36, 34, 25] v(PHI1)=4 v(PHI2)=4 approx_digits=21532\nexpected m^2*(24,7,1): [[24, 7, 1], [2, 28, 4], [28, 16, 9], [8, 18, 16], [36, 34, 25]]\nQ1,Q2 at (24,7,1) mod 47: 39 8\n" }, { "path": "anc/code/1.3.6/expected/1.3.6a_check_sieve47.txt", "size_bytes": 181, "sha256": "a6ab8331955cef5014510f9b26e9f5c1d6a30acfc7163b9c1123fe26cfd99eff", "mode": 420, "encoding": "utf-8", "text": "order T mod 47: 2 order G mod 47: 28\nKummer points lie on Magma's printed Kummer quartic: ok\nT in mod 47: False\nallowed (e,n): [(0, 0)]\nPHI1 only: [(0, 0)]\nPHI2 only: [(0, 0)]\n" }, { "path": "anc/code/1.3.6/expected/1.3.6a_check_smooth.txt", "size_bytes": 148, "sha256": "0f76049e55bd3b593cf25d6f58f17e9921b94ab58dc1532aed93a4e747f54484", "mode": 420, "encoding": "utf-8", "text": "5 smooth in all charts: True\n7 smooth in all charts: True\n11 smooth in all charts: True\n13 smooth in all charts: True\n47 smooth in all charts: True\n" }, { "path": "anc/code/1.3.6/expected/1.3.6a_kummer_image.txt", "size_bytes": 3664, "sha256": "aa4a26442f25ccde87299f80480274c10ff041da594b0b2f516effe2d833489d", "mode": 420, "encoding": "utf-8", "text": "MAGMA_GETVERSION 2 29 8\r\nH polynomial 2*s^5 + 6*s^4 - 4*s^3 - 10*s^2 + 12*s - 4\r\nrank 1 1 torsion\r\nAbelian Group isomorphic to Z/2\r\nDefined on 1 generator\r\nRelations:\r\n 2*P[1] = 0\r\nMapping from: Abelian Group isomorphic to Z/2\r\nDefined on 1 generator\r\nRelations:\r\n 2*P[1] = 0 to JacHyp: J given by a rule [no inverse]\r\ninterpolation rows 4\r\ninterpolation rows 8\r\ninterpolation rows 12\r\ninterpolation rows 16\r\ninterpolation rows 20\r\ninterpolation rows 24\r\ninterpolation rows 28\r\ninterpolation rows 32\r\ninterpolation rows 36\r\ninterpolation rows 40\r\nmatrix dimensions 40 35\r\nkernel dimension 2\r\nKummer image equations [\r\n 944*x1^4 + 3360*x1^3*x3 - 368*x1^3*x4 + 1680*x1^2*x2^2 - 3680*x1^2*x2*x3 - 696*x1^2*x2*x4 + 5520*x1^2*x3^2 - 120*x1^2*x3*x4 +\r\n 48*x1^2*x4^2 + 192*x1*x2^3 - 608*x1*x2^2*x3 + 160*x1*x2^2*x4 + 1256*x1*x2*x3^2 - 520*x1*x2*x3*x4 + 328*x1*x3^3 - 440*x1*x3^2*x4 -\r\n 4*x1*x3*x4^2 - 144*x2^4 + 288*x2^3*x3 + 96*x2^3*x4 - 136*x2^2*x3^2 - 160*x2^2*x3*x4 + x2^2*x4^2 + 56*x2*x3^3 - 52*x2*x3^2*x4 +\r\n 24*x2*x3*x4^2 + 67*x3^4 - 12*x3^3*x4,\r\n 3776*x1^3*x2 - 9024*x1^3*x3 - 576*x1^3*x4 - 7344*x1^2*x2^2 + 22560*x1^2*x2*x3 + 2112*x1^2*x2*x4 - 23456*x1^2*x3^2 - 2240*x1^2*x3*x4 -\r\n 48*x1^2*x4^2 - 2080*x1*x2^3 + 6272*x1*x2^2*x3 - 160*x1*x2^2*x4 - 5976*x1*x2*x3^2 + 48*x1*x2*x3*x4 - 1272*x1*x3^3 + 1856*x1*x3^2*x4 +\r\n 240*x1*x3*x4^2 + 144*x2^4 - 288*x2^3*x3 - 96*x2^3*x4 + 136*x2^2*x3^2 + 160*x2^2*x3*x4 - 60*x2^2*x4^2 - 56*x2*x3^3 + 288*x2*x3^2*x4 -\r\n 24*x2*x3*x4^2 - 303*x3^4 + 12*x3^3*x4\r\n]\r\nKummer equation -16*x1^4 - 64*x1^3*x2 + 96*x1^3*x3 + 16*x1^3*x4 + 96*x1^2*x2^2 - 320*x1^2*x2*x3 - 24*x1^2*x2*x4 + 304*x1^2*x3^2 +\r\n 40*x1^2*x3*x4 + 32*x1*x2^3 - 96*x1*x2^2*x3 + 80*x1*x2*x3^2 + 8*x1*x2*x3*x4 + 16*x1*x3^3 - 24*x1*x3^2*x4 - 4*x1*x3*x4^2 + x2^2*x4^2 -\r\n 4*x2*x3^2*x4 + 4*x3^4\r\nGENERIC xpol degree 2 number of J lifts 2\r\nGENERIC KUMMER IMAGE IDENTITIES [ true, true ]\r\nMW certification\r\nAbelian Group isomorphic to Z/2 + Z\r\nDefined on 2 generators\r\nRelations:\r\n 2*MW.1 = 0\r\ntrue true 1\r\nT,G (x^2 + 2*x - 2, 0, 2) (x + 5/2, -9/4, 1)\r\nLOCAL QUADRATIC FORMS [\r\n 48*r1^2 - 4*r1*r3 + r2^2 + 24*r2*r3,\r\n -48*r1^2 + 240*r1*r3 - 60*r2^2 - 24*r2*r3\r\n]\r\nat MW tangent mod47 [ 39, 8 ]\r\nP47 LIFT 1 coordinate valuations [ 2, 2, 2, 0 ]\r\nequation valuations [ 4, 4 ]\r\ntangent direction raw [ 14, 8, 28 ]\r\n28 normalized [ 24, 7, 1 ]\r\nleading equation residues [ 33, 14 ]\r\nP47 LIFT 2 coordinate valuations [ 2, 2, 2, 0 ]\r\nequation valuations [ 4, 4 ]\r\ntangent direction raw [ 27, 2, 7 ]\r\n37 normalized [ 2, 28, 4 ]\r\nleading equation residues [ 45, 2 ]\r\nP47 LIFT 3 coordinate valuations [ 2, 2, 2, 0 ]\r\nequation valuations [ 4, 4 ]\r\ntangent direction raw [ 4, 9, 8 ]\r\n27 normalized [ 28, 16, 9 ]\r\nleading equation residues [ 26, 21 ]\r\nP47 LIFT 4 coordinate valuations [ 2, 2, 2, 0 ]\r\nequation valuations [ 4, 4 ]\r\ntangent direction raw [ 6, 37, 12 ]\r\n36 normalized [ 8, 18, 16 ]\r\nleading equation residues [ 10, 37 ]\r\nP47 LIFT 5 coordinate valuations [ 2, 2, 2, 0 ]\r\nequation valuations [ 4, 4 ]\r\ntangent direction raw [ 24, 7, 1 ]\r\n32 normalized [ 36, 34, 25 ]\r\nleading equation residues [ 33, 14 ]\r\nSIEVE 47 ordT 2 ordG 28 allowed [ <0, 0> ]\r\nREDUCTION CERT 5 smooth C,H true true class invariants [ 198, 0 ]\r\nL factor true\r\nREDUCTION CERT 7 smooth C,H true true class invariants [ 2, 198, 0 ]\r\nL factor true\r\nREDUCTION CERT 11 smooth C,H true true class invariants [ 2, 2, 320, 0 ]\r\nL factor true\r\nREDUCTION CERT 13 smooth C,H true true class invariants [ 12, 288, 0 ]\r\nL factor true\r\nREDUCTION CERT 47 smooth C,H true true class invariants [ 2, 2, 8, 2520, 0 ]\r\nL factor true\r\nPKG_OK\r\nPKG_MAGMA_END\r\n" }, { "path": "anc/code/1.3.7/data/a.txt", "size_bytes": 1800, "sha256": "f7b4f46e30d663260daa325c77a694a9b21aac0fdbaee8e0209cfb8dbd481a53", "mode": 420, "encoding": "utf-8", "text": "-29354112621594001225043288092/6904477398739607765914213363*w^27+1145594063724194050316086272/6904477398739607765914213363*w^26+1142976398579353314880492624/6904477398739607765914213363*w^25-606060250918004533205471232/6904477398739607765914213363*w^24-752806018084876297015686464/6904477398739607765914213363*w^23-673534038059707174408404284/6904477398739607765914213363*w^22+489307053668435183744025344/6904477398739607765914213363*w^21+8454557449925965644625685194176/6904477398739607765914213363*w^20-330237247197316193426894718976/6904477398739607765914213363*w^19+29846346927625395507245188643376/6904477398739607765914213363*w^18-1002950084649130013940084531200/6904477398739607765914213363*w^17+41312200598134094053344937376704/6904477398739607765914213363*w^16-832761245311390646548644843769/6904477398739607765914213363*w^15+27166622396520483173270839464192/6904477398739607765914213363*w^14+10456900631449108374612272802368/6904477398739607765914213363*w^13+6690587118118444621723114149888/6904477398739607765914213363*w^12+22375824561902369976821202133360/6904477398739607765914213363*w^11-657783209870128859509796159488/6904477398739607765914213363*w^10+15269201627889681270382006426688/6904477398739607765914213363*w^9+98194439773841703465293201329/6904477398739607765914213363*w^8+3548969806951063568652140116992/6904477398739607765914213363*w^7+2139099101234885922483666948420/6904477398739607765914213363*w^6-73183350121058738106199505920/6904477398739607765914213363*w^5+2128865881770246890189176907968/6904477398739607765914213363*w^4-38042256712817212459429744640/6904477398739607765914213363*w^3+438427705251079229943212315008/6904477398739607765914213363*w^2+60632772829104826396580132731/6904477398739607765914213363*w+2026549443005599227282855936/6904477398739607765914213363\n" }, { "path": "anc/code/1.3.7/data/g.txt", "size_bytes": 110, "sha256": "c5ab01ce074615761beec53cbecbae5f65c15f9b4a24313c87e35f6a7d0a4242", "mode": 420, "encoding": "utf-8", "text": "w^28-288*w^21-1028*w^19-1440*w^17-960*w^15-346*w^14-256*w^13-748*w^12-528*w^10-128*w^8-56*w^7-68*w^5-16*w^3+1\n" }, { "path": "anc/code/1.3.7/data/ks2_basis.json", "size_bytes": 51340, "sha256": "e27c833a1d744c699b619dd3770aab37ef3d1725eab020af25b88f7c93f07943", "mode": 420, "encoding": "utf-8", "text": "{\"names\": [\"-1\", \"u_1\", \"u_2\", \"u_3\", \"u_4\", \"u_5\", \"u_6\", \"u_7\", \"u_8\", \"u_9\", \"u_10\", \"u_11\", \"u_12\", \"u_13\", \"u_14\", \"u_15\", \"pi_1\", \"pi_2\", \"pi_3\", \"pi_4\", \"pi_5\", \"pi_6\", \"pi_7\", \"pi_8\", \"pi_9\", \"pi_10\", \"pi_11\", \"pi_12\", \"pi_13\"], \"elements\": [\"-1\", \"w\", \"1145594063724194050316086272/6904477398739607765914213363*w^27 + 1142976398579353314880492624/6904477398739607765914213363*w^26 - 606060250918004533205471232/6904477398739607765914213363*w^25 - 752806018084876297015686464/6904477398739607765914213363*w^24 - 673534038059707174408404284/6904477398739607765914213363*w^23 + 489307053668435183744025344/6904477398739607765914213363*w^22 + 573014906893291813218223680/6904477398739607765914213363*w^21 - 330237247197316193426894718976/6904477398739607765914213363*w^20 - 329680847373237752099311515200/6904477398739607765914213363*w^19 - 1002950084649130013940084531200/6904477398739607765914213363*w^18 - 957721576961267710717397475776/6904477398739607765914213363*w^17 - 832761245311390646548644843769/6904477398739607765914213363*w^16 - 1013325720209758002770717104128/6904477398739607765914213363*w^15 + 300377664377583950747295122536/6904477398739607765914213363*w^14 - 824065713009619691887967601664/6904477398739607765914213363*w^13 + 418948320950057060488822640544/6904477398739607765914213363*w^12 - 657783209870128859509796159488/6904477398739607765914213363*w^11 - 229769836311951376440849685888/6904477398739607765914213363*w^10 + 98194439773841703465293201329/6904477398739607765914213363*w^9 - 208356608612968588153400758784/6904477398739607765914213363*w^8 + 495268794425621853881242815268/6904477398739607765914213363*w^7 - 73183350121058738106199505920/6904477398739607765914213363*w^6 + 132786223501854806886233317712/6904477398739607765914213363*w^5 - 38042256712817212459429744640/6904477398739607765914213363*w^4 - 31238096694424789657480294464/6904477398739607765914213363*w^3 + 60632772829104826396580132731/6904477398739607765914213363*w^2 + 2026549443005599227282855936/6904477398739607765914213363*w + 29354112621594001225043288092/6904477398739607765914213363\", \"368468974627061297463493120/6904477398739607765914213363*w^27 + 8779600924856365727377603575/13808954797479215531828426726*w^26 - 210539898769536795250034304/6904477398739607765914213363*w^25 - 264328732746443146032002854/6904477398739607765914213363*w^24 + 110309511852820183291730432/6904477398739607765914213363*w^23 + 197087525288354506850783776/6904477398739607765914213363*w^22 - 46605214263771247170840576/6904477398739607765914213363*w^21 - 106267454208920581208913090016/6904477398739607765914213363*w^20 - 1264363062754789081914545848282/6904477398739607765914213363*w^19 - 318039385795418404558431028992/6904477398739607765914213363*w^18 - 4436484456118642185495665372134/6904477398739607765914213363*w^17 - 346011109952511942354255440384/6904477398739607765914213363*w^16 - 6106447716175976199026076605008/6904477398739607765914213363*w^15 - 150471084956876603603987527680/6904477398739607765914213363*w^14 - 4120835753995038471226561746752/6904477398739607765914213363*w^13 - 2986130135056370756012490525925/13808954797479215531828426726*w^12 - 1236187633227882259481611366016/6904477398739607765914213363*w^11 - 3103577013054634496730048232080/6904477398739607765914213363*w^10 - 73835756114404699487563450368/6904477398739607765914213363*w^9 - 2103717400530075067421182742816/6904477398739607765914213363*w^8 - 3247070315694987231542456320/6904477398739607765914213363*w^7 - 501997555342791068393139012704/6904477398739607765914213363*w^6 - 217651503334708669432654809245/6904477398739607765914213363*w^5 - 11397985945891366549371748608/6904477398739607765914213363*w^4 - 252768590748436038793626645150/6904477398739607765914213363*w^3 + 890353910191943731663715328/6904477398739607765914213363*w^2 - 54617242022727983583882489760/6904477398739607765914213363*w - 519825131618551722751092736/6904477398739607765914213363\", \"2650790986217601342662063395/13808954797479215531828426726*w^27 + 3449007417559692609521533924/6904477398739607765914213363*w^26 - 5699130425585418011186163403/27617909594958431063656853452*w^25 - 563132828227494235861334687/6904477398739607765914213363*w^24 + 2577526318947559889858140085/27617909594958431063656853452*w^23 + 4226851950373926124308789143/27617909594958431063656853452*w^22 - 1547453407761301380716558769/27617909594958431063656853452*w^21 - 1531799562710578236025872386119/27617909594958431063656853452*w^20 - 3972936980613945268050516841589/27617909594958431063656853452*w^19 - 951066333410635026319099338583/6904477398739607765914213363*w^18 - 6766630817873977975056005297793/13808954797479215531828426726*w^17 - 2522158304977956839313338366367/27617909594958431063656853452*w^16 - 4692337490888224455639486244907/6904477398739607765914213363*w^15 + 917239754932755352300479520933/27617909594958431063656853452*w^14 - 3688472216891871760209008148461/6904477398739607765914213363*w^13 - 719026727045845300821833026638/6904477398739607765914213363*w^12 - 5640826481320418935359035886345/27617909594958431063656853452*w^11 - 4373310141772069158078418925491/13808954797479215531828426726*w^10 + 905119457010819484448338740883/27617909594958431063656853452*w^9 - 6651461980919807694115509684245/27617909594958431063656853452*w^8 + 1460372195714107899838120053319/27617909594958431063656853452*w^7 - 2007595953048574056102834626263/27617909594958431063656853452*w^6 - 263877568811243510094432049105/27617909594958431063656853452*w^5 + 87539619717973389989343398109/13808954797479215531828426726*w^4 - 343454719377443771460034307011/13808954797479215531828426726*w^3 + 351801832116178928638432900575/27617909594958431063656853452*w^2 - 91262687820565898526813195749/13808954797479215531828426726*w + 60030441839377366911875077991/27617909594958431063656853452\", \"13614385337871251672682123373/13808954797479215531828426726*w^27 - 36302183949948130201253291573/27617909594958431063656853452*w^26 + 6298437716541217198023618933/27617909594958431063656853452*w^25 - 264593735216322060343384397/6904477398739607765914213363*w^24 - 37428215620007783089459967/6904477398739607765914213363*w^23 - 24391397352637359965557277/6904477398739607765914213363*w^22 - 705647298501774455298051391/27617909594958431063656853452*w^21 - 3920587584211905045956580391747/13808954797479215531828426726*w^20 + 5227996482920270531681296041493/13808954797479215531828426726*w^19 - 14902678503507987028276691865261/13808954797479215531828426726*w^18 + 37622794694260099482323324789561/27617909594958431063656853452*w^17 - 11410255166599642683233067953743/6904477398739607765914213363*w^16 + 13347968819825990744203579272398/6904477398739607765914213363*w^15 - 8713072692570315922762369790508/6904477398739607765914213363*w^14 + 13423967847630896238375550102551/13808954797479215531828426726*w^13 + 206839370280149692225648834805/27617909594958431063656853452*w^12 - 12760102166537595207576628529287/27617909594958431063656853452*w^11 + 13133714554064368797499037683491/13808954797479215531828426726*w^10 - 4870829234462095075192426783246/6904477398739607765914213363*w^9 + 4955622911274223209707465977406/6904477398739607765914213363*w^8 - 6852613991981598840414041089197/27617909594958431063656853452*w^7 + 816546864338657229240660593557/6904477398739607765914213363*w^6 + 736166152727168686545573693535/13808954797479215531828426726*w^5 - 1241334643773349322198027786823/13808954797479215531828426726*w^4 + 2507330415978129909990294069563/27617909594958431063656853452*w^3 - 522134111415596022122857332717/13808954797479215531828426726*w^2 + 144329990632455711068403846693/6904477398739607765914213363*w - 12487931803812916635202231431/6904477398739607765914213363\", \"1333150233266760739513960493/13808954797479215531828426726*w^27 + 1427131946618730456918945509/27617909594958431063656853452*w^26 + 97396531396940617946196539/27617909594958431063656853452*w^25 + 1140036330086143709122610027/27617909594958431063656853452*w^24 + 707169589224033016659976679/13808954797479215531828426726*w^23 + 448562875520412041330444063/27617909594958431063656853452*w^22 + 25262209554115153156393555/6904477398739607765914213363*w^21 - 768040084582306904230891070063/27617909594958431063656853452*w^20 - 102782394102504491318578286333/6904477398739607765914213363*w^19 - 2768408376463404683291417887847/27617909594958431063656853452*w^18 - 1795408895162563091748296995981/27617909594958431063656853452*w^17 - 4348290099689675910359975857155/27617909594958431063656853452*w^16 - 3356627582674576671358889334679/27617909594958431063656853452*w^15 - 4181465212077734596056474614523/27617909594958431063656853452*w^14 - 1088250336143333471681102651203/6904477398739607765914213363*w^13 - 3378501761835273900669783988949/27617909594958431063656853452*w^12 - 4156888800776571066513844160369/27617909594958431063656853452*w^11 - 2873867065376274754911647309349/27617909594958431063656853452*w^10 - 676251715515236774280355487552/6904477398739607765914213363*w^9 - 1949230239140217029469886105555/27617909594958431063656853452*w^8 - 673454478546959245635387714405/13808954797479215531828426726*w^7 - 854574197201904127928553402705/27617909594958431063656853452*w^6 - 281152892037372335124086338581/13808954797479215531828426726*w^5 - 427274168418620078841680446257/27617909594958431063656853452*w^4 - 212803415069219302744061550817/27617909594958431063656853452*w^3 - 166656774167597822142775409967/27617909594958431063656853452*w^2 - 66476097785746430842448437039/27617909594958431063656853452*w - 17450880169825558928456708319/27617909594958431063656853452\", \"-1785955237670895647510453168/6904477398739607765914213363*w^27 + 249926268472186942774826424/6904477398739607765914213363*w^26 + 1964387074641383059050069280/6904477398739607765914213363*w^25 + 1618705294624249279671118027/13808954797479215531828426726*w^24 - 2727804647249114664057124333/27617909594958431063656853452*w^23 - 2681290286032677472790982737/27617909594958431063656853452*w^22 + 423658405731074344148216367/27617909594958431063656853452*w^21 + 1029199814133144281308658319327/13808954797479215531828426726*w^20 - 288430128151040881153916511571/27617909594958431063656853452*w^19 + 1270047901815594449474134488228/6904477398739607765914213363*w^18 - 1959434984885394313586085131813/27617909594958431063656853452*w^17 + 1498098018807822075699138436953/13808954797479215531828426726*w^16 - 998857100351419658918821865550/6904477398739607765914213363*w^15 - 1775363162065943317967012176735/27617909594958431063656853452*w^14 - 337802523705369398374537523487/13808954797479215531828426726*w^13 - 604759411724822019219544317217/6904477398739607765914213363*w^12 + 577993860584453108261997225506/6904477398739607765914213363*w^11 - 762549844766737696015490627797/13808954797479215531828426726*w^10 - 426230761649473875142910710403/27617909594958431063656853452*w^9 - 1639875480758585499859013695897/27617909594958431063656853452*w^8 - 1475940509655111987133649203161/27617909594958431063656853452*w^7 - 63660946233810371287299265498/6904477398739607765914213363*w^6 - 234329249932842178967450199217/27617909594958431063656853452*w^5 + 116018084512495306349729938399/13808954797479215531828426726*w^4 - 19000659195222156363512040199/27617909594958431063656853452*w^3 - 46482896671765364146565191824/6904477398739607765914213363*w^2 - 25707913714669060985807776761/6904477398739607765914213363*w - 33370637612274275581618591553/27617909594958431063656853452\", \"607604766960440087967402169/6904477398739607765914213363*w^27 + 17493563139517612241822439557/27617909594958431063656853452*w^26 + 2119511500012890607084148381/27617909594958431063656853452*w^25 - 16560390548138222960456316225/27617909594958431063656853452*w^24 - 4561846215305904472278944963/27617909594958431063656853452*w^23 + 3257357642593094853546199451/6904477398739607765914213363*w^22 + 2150963384413749106168563909/13808954797479215531828426726*w^21 - 355897228329827817610075669241/13808954797479215531828426726*w^20 - 1260751138864936448815799673174/6904477398739607765914213363*w^19 - 3098356549815762293520048879539/27617909594958431063656853452*w^18 - 3302075094028045561786734470789/6904477398739607765914213363*w^17 - 1093361688837488316665560307758/6904477398739607765914213363*w^16 - 11924670992127925701049318466239/27617909594958431063656853452*w^15 - 481834428359050314043517982164/6904477398739607765914213363*w^14 - 942098196715954696995607338388/6904477398739607765914213363*w^13 - 5170149291281190486599972803489/27617909594958431063656853452*w^12 - 768350458211320039611263674803/27617909594958431063656853452*w^11 - 6352465743444839268628592424729/27617909594958431063656853452*w^10 - 865270575478727514343473079199/27617909594958431063656853452*w^9 - 789972151895315184083988712261/13808954797479215531828426726*w^8 + 34536688183769123794272239027/13808954797479215531828426726*w^7 + 100013590766496213837382740831/13808954797479215531828426726*w^6 - 197947297709359666374451331021/6904477398739607765914213363*w^5 - 94574601686100710550948181977/27617909594958431063656853452*w^4 - 130341020307764937795295558799/13808954797479215531828426726*w^3 - 19305688584975836669876957322/6904477398739607765914213363*w^2 - 13943602675585116429514982069/27617909594958431063656853452*w + 7581555882820022030098938347/13808954797479215531828426726\", \"13095161586693108932350967281/27617909594958431063656853452*w^27 + 1352740846353013501485738317/27617909594958431063656853452*w^26 + 979855032647497631123817275/27617909594958431063656853452*w^25 - 949660576529327167720646326/6904477398739607765914213363*w^24 + 1209918467776072900929945983/27617909594958431063656853452*w^23 + 972342934907981873303868437/6904477398739607765914213363*w^22 - 467266668930875064703000114/6904477398739607765914213363*w^21 - 1887332558942835352363146524157/13808954797479215531828426726*w^20 - 387887423794072601482648410811/27617909594958431063656853452*w^19 - 13741080386847886248592917257621/27617909594958431063656853452*w^18 - 297622010113639141612694167755/27617909594958431063656853452*w^17 - 20215188606937555426941116152665/27617909594958431063656853452*w^16 + 837324403713260695246764071307/27617909594958431063656853452*w^15 - 14686007107503716089137171038599/27617909594958431063656853452*w^14 - 3419295994505210950008248729267/27617909594958431063656853452*w^13 - 5073470952966230662713299325483/27617909594958431063656853452*w^12 - 9932837764074207238432358929221/27617909594958431063656853452*w^11 + 62374327690116804049856106545/13808954797479215531828426726*w^10 - 8467160609545670132531235180299/27617909594958431063656853452*w^9 + 369728554423550799982760756865/13808954797479215531828426726*w^8 - 653562699207045031189066528214/6904477398739607765914213363*w^7 - 400634849884600231382488857011/13808954797479215531828426726*w^6 - 59051409946188340709407822561/27617909594958431063656853452*w^5 - 1077761624075444086737265881521/27617909594958431063656853452*w^4 + 63514552304513073458259330517/27617909594958431063656853452*w^3 - 465394070285699396439874465133/27617909594958431063656853452*w^2 - 11774738915426916832570472473/27617909594958431063656853452*w + 35812350956397647252595458525/27617909594958431063656853452\", \"-75781496416322890754008199171/27617909594958431063656853452*w^27 + 9630651214299992140038251557/27617909594958431063656853452*w^26 + 70078420743905579167413442511/27617909594958431063656853452*w^25 - 4464309525799451590975052569/27617909594958431063656853452*w^24 - 64068709326344439510769080837/27617909594958431063656853452*w^23 - 598821255459871922999293814/6904477398739607765914213363*w^22 + 28175868923655350408364843739/13808954797479215531828426726*w^21 + 21833421178158816150250269890381/27617909594958431063656853452*w^20 - 2822864499434482297064775599213/27617909594958431063656853452*w^19 + 28854032264145933356699256168443/13808954797479215531828426726*w^18 - 8572268347200656636326435030859/27617909594958431063656853452*w^17 + 27776284979441645721489297628265/13808954797479215531828426726*w^16 - 8624779580130406741305384351113/27617909594958431063656853452*w^15 + 21452482024823340373679435835019/27617909594958431063656853452*w^14 + 23490782345954634892823630110153/27617909594958431063656853452*w^13 - 2678426594871289899771317421571/27617909594958431063656853452*w^12 + 32764604235733009144182465623975/27617909594958431063656853452*w^11 - 4832099255164469309082609789845/27617909594958431063656853452*w^10 + 9663367317810434250869224312851/27617909594958431063656853452*w^9 - 444176365297316162984220878141/13808954797479215531828426726*w^8 + 386986890774108011381728624783/13808954797479215531828426726*w^7 + 4391775100976083686008949390191/27617909594958431063656853452*w^6 - 725104538561031634455424362553/27617909594958431063656853452*w^5 + 292922296455016957124324603443/6904477398739607765914213363*w^4 - 2645885148166676352424601625/27617909594958431063656853452*w^3 - 8599392469917691280441225709/6904477398739607765914213363*w^2 - 53698627455747300297124136159/27617909594958431063656853452*w + 21109814284483235665238101275/27617909594958431063656853452\", \"-9418932008132441638067328135/13808954797479215531828426726*w^27 + 4751427554648556264970886153/27617909594958431063656853452*w^26 + 12521091035947097489056553697/27617909594958431063656853452*w^25 - 163614595675787559742250847/27617909594958431063656853452*w^24 - 4149479792694430750439568187/27617909594958431063656853452*w^23 - 321502988174357303473624174/6904477398739607765914213363*w^22 + 130593510383291575017672610/6904477398739607765914213363*w^21 + 5424240949968143372396269019699/27617909594958431063656853452*w^20 - 1368920957974306648636549809459/27617909594958431063656853452*w^19 + 15760371074950435044403332991907/27617909594958431063656853452*w^18 - 1209092084487248289082184168574/6904477398739607765914213363*w^17 + 15449447075523131755310915831547/27617909594958431063656853452*w^16 - 6303693837802285685522162806145/27617909594958431063656853452*w^15 + 4170013225875320643851416079223/27617909594958431063656853452*w^14 + 955229175298016083651986979633/6904477398739607765914213363*w^13 - 3257627614181373178684113581533/27617909594958431063656853452*w^12 + 11320974243345233867814385805865/27617909594958431063656853452*w^11 - 3228756154292122000282793052787/27617909594958431063656853452*w^10 + 3801366829889763569889356059793/27617909594958431063656853452*w^9 - 796558816935886307066257278695/13808954797479215531828426726*w^8 - 329270130570125172971468280476/6904477398739607765914213363*w^7 + 917526417571477248953758634405/27617909594958431063656853452*w^6 - 615346540330906488016340246767/27617909594958431063656853452*w^5 + 1035257476200401739963132841983/27617909594958431063656853452*w^4 - 94576982862898691361889634509/13808954797479215531828426726*w^3 - 214573399399152591561781265199/27617909594958431063656853452*w^2 - 114358653850933556711490980553/27617909594958431063656853452*w + 4653969601548634315774443035/27617909594958431063656853452\", \"-61186570740706122347177923943/27617909594958431063656853452*w^27 - 8682314042988170491931082245/27617909594958431063656853452*w^26 + 13319287628856275547778225407/27617909594958431063656853452*w^25 + 11850853382921627546444863091/27617909594958431063656853452*w^24 - 5822572486195920092984962221/27617909594958431063656853452*w^23 - 2324532942603991938833174487/13808954797479215531828426726*w^22 + 394674808167745236621735284/6904477398739607765914213363*w^21 + 17623788823735968551818939278363/27617909594958431063656853452*w^20 + 2500014350488429615984641031387/27617909594958431063656853452*w^19 + 29531387451939126349187209770975/13808954797479215531828426726*w^18 + 5512311893999266415829013575489/27617909594958431063656853452*w^17 + 38046994025138730296661455925729/13808954797479215531828426726*w^16 + 1658956500320359250847277762489/27617909594958431063656853452*w^15 + 45089871179965043809474066565279/27617909594958431063656853452*w^14 + 16627140141043067141253706643969/27617909594958431063656853452*w^13 + 12785019891802475594593180087023/27617909594958431063656853452*w^12 + 36892569209818139864366670101171/27617909594958431063656853452*w^11 + 2823844921812441861230972937699/27617909594958431063656853452*w^10 + 23732643264379245925339015387855/27617909594958431063656853452*w^9 - 493570102273453943440073745629/6904477398739607765914213363*w^8 + 1200566720558342820261631358777/6904477398739607765914213363*w^7 + 1081258495911559137016937440653/27617909594958431063656853452*w^6 + 707481375186013569820777761739/27617909594958431063656853452*w^5 + 808208609599798009379421974836/6904477398739607765914213363*w^4 + 148495813446596291619567789087/27617909594958431063656853452*w^3 + 104559375461788563293991217842/6904477398739607765914213363*w^2 - 435650634232104301236224916301/27617909594958431063656853452*w + 46727887165443736808709187203/27617909594958431063656853452\", \"-17011979073420663202782696315/27617909594958431063656853452*w^27 + 1182974447409120087621146880/6904477398739607765914213363*w^26 - 22348723315682768944019059/6904477398739607765914213363*w^25 + 516571880678346118281762150/6904477398739607765914213363*w^24 - 2810030098087640176528267201/27617909594958431063656853452*w^23 - 467456979977538515695402205/27617909594958431063656853452*w^22 + 697479073604531424981520508/6904477398739607765914213363*w^21 + 2449567582904906637257699393271/13808954797479215531828426726*w^20 - 341107074922803133353005355037/6904477398739607765914213363*w^19 + 4378575020043336948198874728365/6904477398739607765914213363*w^18 - 5458895350702855975486920111061/27617909594958431063656853452*w^17 + 25398525013982167255744502737611/27617909594958431063656853452*w^16 - 4401935011045875103765273550557/13808954797479215531828426726*w^15 + 18545061562223059120256240869771/27617909594958431063656853452*w^14 - 1060274626004206594186263757795/27617909594958431063656853452*w^13 + 2227709309676004406953584420901/13808954797479215531828426726*w^12 + 2622032118996830660908089637674/6904477398739607765914213363*w^11 - 1008235823267271873568725225427/6904477398739607765914213363*w^10 + 10122922576640591388154494668629/27617909594958431063656853452*w^9 - 3958269688976354990979440669473/27617909594958431063656853452*w^8 + 1728226087931054040879902543955/13808954797479215531828426726*w^7 + 17925644373438408358902567875/13808954797479215531828426726*w^6 - 82314280114147800415268926003/6904477398739607765914213363*w^5 + 357377658183737139802130903471/6904477398739607765914213363*w^4 - 557325938840128984796819166203/27617909594958431063656853452*w^3 + 403022809487684819365990019651/27617909594958431063656853452*w^2 - 19116113491918442057711324514/6904477398739607765914213363*w - 708035454476755580400248907/27617909594958431063656853452\", \"-881080934242572087342975069/27617909594958431063656853452*w^27 - 822575918106012477936583896/6904477398739607765914213363*w^26 - 2405422645679376370484005339/13808954797479215531828426726*w^25 - 1461012074476870721020260549/27617909594958431063656853452*w^24 + 44968301799423891279652050/6904477398739607765914213363*w^23 - 51509746784779239701791099/13808954797479215531828426726*w^22 - 148506676364684153208741057/6904477398739607765914213363*w^21 + 126963488470103220626373561441/13808954797479215531828426726*w^20 + 948352526371221571311111117609/27617909594958431063656853452*w^19 + 1145799043938934546211043447675/13808954797479215531828426726*w^18 + 3802819903378938060816306521827/27617909594958431063656853452*w^17 + 6162434739735291707166623459709/27617909594958431063656853452*w^16 + 3135202447545194032234181849339/13808954797479215531828426726*w^15 + 7760064520884048751233447142743/27617909594958431063656853452*w^14 + 5621777987354769625945818520423/27617909594958431063656853452*w^13 + 3059286593094823959639445939101/13808954797479215531828426726*w^12 + 2221974983779065809102234594895/13808954797479215531828426726*w^11 + 4226868215199191220361404286525/27617909594958431063656853452*w^10 + 1953775262350425004434112009591/13808954797479215531828426726*w^9 + 1242725640785930234259018682413/13808954797479215531828426726*w^8 + 514721343490440855395732132191/6904477398739607765914213363*w^7 + 360557951989943111461441165431/13808954797479215531828426726*w^6 + 441580135733032265766271773455/27617909594958431063656853452*w^5 + 24927755736581468956523896418/6904477398739607765914213363*w^4 + 59628216821291116550514541265/27617909594958431063656853452*w^3 + 97557870958200520730758880645/27617909594958431063656853452*w^2 + 2193527911400871652326536906/6904477398739607765914213363*w + 15616098790211768687512479609/27617909594958431063656853452\", \"82206216865571426229317458545/27617909594958431063656853452*w^27 - 3037135156869411648523997033/13808954797479215531828426726*w^26 - 8357229441052416964351403831/13808954797479215531828426726*w^25 - 562556318353452629611005489/13808954797479215531828426726*w^24 + 6486250313357960799821238971/27617909594958431063656853452*w^23 + 2835617692353600258751402591/13808954797479215531828426726*w^22 - 6087523407615126390499047123/27617909594958431063656853452*w^21 - 5920419427144097480906916916075/6904477398739607765914213363*w^20 + 438615400501641882013370495662/6904477398739607765914213363*w^19 - 19921756473506552681869664002910/6904477398739607765914213363*w^18 + 6565068194561734300934766784795/27617909594958431063656853452*w^17 - 103069927429725709221769261109263/27617909594958431063656853452*w^16 + 8272016633143484716937729429055/27617909594958431063656853452*w^15 - 14939169886121250262636122546259/6904477398739607765914213363*w^14 - 25011635224097923926837855490949/27617909594958431063656853452*w^13 - 1861652654719429157476079559381/6904477398739607765914213363*w^12 - 28424837447019138181094853102303/13808954797479215531828426726*w^11 + 3748622854442812717764130707889/13808954797479215531828426726*w^10 - 34520033274962054689661065392211/27617909594958431063656853452*w^9 + 465011247438167119293405280445/6904477398739607765914213363*w^8 - 4675013776511170496763983938217/27617909594958431063656853452*w^7 - 2760925792536952049770303505609/13808954797479215531828426726*w^6 + 437352564014859526179621443221/6904477398739607765914213363*w^5 - 1331986890192123615908914343228/6904477398739607765914213363*w^4 + 308004072836850719881508756217/27617909594958431063656853452*w^3 - 659820154349342676669719204551/27617909594958431063656853452*w^2 - 167830669510619837681130109705/27617909594958431063656853452*w + 94176996850802021533821611379/13808954797479215531828426726\", \"23173981991483033918965987531/27617909594958431063656853452*w^27 - 7587140459143078776410771397/27617909594958431063656853452*w^26 + 539033571475122968622822419/13808954797479215531828426726*w^25 + 360931038649127782121268259/13808954797479215531828426726*w^24 - 134786857063296908593015629/13808954797479215531828426726*w^23 - 3403840292095375519237381107/27617909594958431063656853452*w^22 + 2198509598294941014667995155/27617909594958431063656853452*w^21 - 6672477202947291197995025722169/27617909594958431063656853452*w^20 + 546229507728341572505799177508/6904477398739607765914213363*w^19 - 12068030423536638002574913275061/13808954797479215531828426726*w^18 + 7592363958726847805116305184845/27617909594958431063656853452*w^17 - 34398892376473405584499169245779/27617909594958431063656853452*w^16 + 5581973178007719810528788692435/13808954797479215531828426726*w^15 - 24158324683801375354324698544387/27617909594958431063656853452*w^14 + 1255409773554519034590849324355/27617909594958431063656853452*w^13 - 6160079198317682515485287864233/27617909594958431063656853452*w^12 - 3111485834417738073389581148951/6904477398739607765914213363*w^11 + 1113478688373440290151414166659/13808954797479215531828426726*w^10 - 5032101967035571941664814052531/13808954797479215531828426726*w^9 + 2096388223258047204411169351555/27617909594958431063656853452*w^8 - 2366292777075166087972362825097/27617909594958431063656853452*w^7 - 226903483670483181318801959641/27617909594958431063656853452*w^6 - 43248088195113056157043208199/13808954797479215531828426726*w^5 - 529451244142582262147354056219/13808954797479215531828426726*w^4 - 84764235547349598985680426157/27617909594958431063656853452*w^3 - 82372584544791235722532632391/27617909594958431063656853452*w^2 - 24117645433441386280015601028/6904477398739607765914213363*w + 63710599238668624657326050207/27617909594958431063656853452\", \"-113674414429085456297710523031/27617909594958431063656853452*w^27 - 9883206593692725121391539649/6904477398739607765914213363*w^26 - 12252623471196238522026740635/27617909594958431063656853452*w^25 - 2773914031532691834980482283/27617909594958431063656853452*w^24 - 3298005252610137402088162177/27617909594958431063656853452*w^23 - 962054802538633407269266387/27617909594958431063656853452*w^22 + 155517909794175824999661097/6904477398739607765914213363*w^21 + 32739258036589815110867129054035/27617909594958431063656853452*w^20 + 11384767673513789407324612864453/27617909594958431063656853452*w^19 + 120385322740800988996925405651385/27617909594958431063656853452*w^18 + 20719496111618886514138851568863/13808954797479215531828426726*w^17 + 88618698560840366901170442355631/13808954797479215531828426726*w^16 + 30027820139791120990224062553103/13808954797479215531828426726*w^15 + 64990828658543019065092981100295/13808954797479215531828426726*w^14 + 81970555130129988400014089113415/27617909594958431063656853452*w^13 + 29424859758559825394520418141627/13808954797479215531828426726*w^12 + 102591765415534454202285931387707/27617909594958431063656853452*w^11 + 36538265262254458069356847098693/27617909594958431063656853452*w^10 + 71026157317966961643587965557131/27617909594958431063656853452*w^9 + 24230230648771360341232131673617/27617909594958431063656853452*w^8 + 11531049037098697162827905337811/13808954797479215531828426726*w^7 + 13543495537173760668897185865981/27617909594958431063656853452*w^6 + 5216927818164643276532123413633/27617909594958431063656853452*w^5 + 9022342567701377258908570237873/27617909594958431063656853452*w^4 + 820962157331091918934884334559/6904477398739607765914213363*w^3 + 1403321801158553814901246177321/13808954797479215531828426726*w^2 + 493675957839153045075621196127/13808954797479215531828426726*w + 157822941636317164532340503065/13808954797479215531828426726\", \"10095335119778798241906824013/13808954797479215531828426726*w^27 - 2451735679471772616092423399/6904477398739607765914213363*w^26 - 2023219732522392237900220895/27617909594958431063656853452*w^25 + 1170692471048762673200773297/6904477398739607765914213363*w^24 + 1766025096513608523360230673/13808954797479215531828426726*w^23 - 1061352028266953926555856941/6904477398739607765914213363*w^22 - 3766106339194226928602589447/27617909594958431063656853452*w^21 - 2905607103965098523845645552195/13808954797479215531828426726*w^20 + 2828296018828046563576390025955/27617909594958431063656853452*w^19 - 5044077761431598144234120832469/6904477398739607765914213363*w^18 + 8729386583258293167116876780213/27617909594958431063656853452*w^17 - 7002366999039952629162807706540/6904477398739607765914213363*w^16 + 2633544949823225982268887978886/6904477398739607765914213363*w^15 - 4754471212676796015523568342252/6904477398739607765914213363*w^14 - 509403498167076392305570193577/13808954797479215531828426726*w^13 - 542145359188497487767402677506/6904477398739607765914213363*w^12 - 13212267858209596853646379949777/27617909594958431063656853452*w^11 + 2635253528727588303520590472499/13808954797479215531828426726*w^10 - 5228434962965587533536667424017/13808954797479215531828426726*w^9 + 719963063313424455009370975718/6904477398739607765914213363*w^8 - 2970931908555680193361774633445/27617909594958431063656853452*w^7 - 174817161665525170935937863179/6904477398739607765914213363*w^6 + 376714695862359528396040239841/27617909594958431063656853452*w^5 - 689570340231561275173598583833/13808954797479215531828426726*w^4 + 285475380515726532032689908451/27617909594958431063656853452*w^3 - 213734834884490396751149007509/13808954797479215531828426726*w^2 + 3149667053554504243816667461/6904477398739607765914213363*w - 9378191873060936156654338576/6904477398739607765914213363\", \"8319682858309082462580689573/27617909594958431063656853452*w^27 - 3579072085401920859271517235/13808954797479215531828426726*w^26 + 4298504437405271172245269931/27617909594958431063656853452*w^25 + 253643238840067623699992355/27617909594958431063656853452*w^24 - 1185652740115323917491595515/27617909594958431063656853452*w^23 - 234834950450839893397797246/6904477398739607765914213363*w^22 - 39090866312980365315962548/6904477398739607765914213363*w^21 - 1197693276607812918586828165027/13808954797479215531828426726*w^20 + 2061153724480815793231510492363/27617909594958431063656853452*w^19 - 2447763002398262186680710714202/6904477398739607765914213363*w^18 + 7285546904413275746117709987971/27617909594958431063656853452*w^17 - 16057131943599376209934192029679/27617909594958431063656853452*w^16 + 10317803233857674144506380028133/27617909594958431063656853452*w^15 - 3228336455370735424106793947294/6904477398739607765914213363*w^14 + 4396672619534366493616803179383/27617909594958431063656853452*w^13 - 449534556872352365384636736590/6904477398739607765914213363*w^12 - 5340198560071355117675337976887/27617909594958431063656853452*w^11 + 5924784644795312235820791931423/27617909594958431063656853452*w^10 - 7057144522637999137364591220271/27617909594958431063656853452*w^9 + 2412245810626436102695827233821/13808954797479215531828426726*w^8 - 660823332229446180794449960405/6904477398739607765914213363*w^7 + 502511912954022264602388293603/13808954797479215531828426726*w^6 + 432564309142958411877594639717/27617909594958431063656853452*w^5 - 349393490483174936723255774709/13808954797479215531828426726*w^4 + 749298575804172172832532611581/27617909594958431063656853452*w^3 - 421557156879028585350534015771/27617909594958431063656853452*w^2 + 161316190511224223736609647997/27617909594958431063656853452*w - 22708467071150247464546014329/13808954797479215531828426726\", \"2847456602802209662883961093/6904477398739607765914213363*w^27 + 1397054885092127514011563900/6904477398739607765914213363*w^26 + 54937546786292451259887508/6904477398739607765914213363*w^25 + 635548889658996850984846376/6904477398739607765914213363*w^24 - 54487106919126828444112672/6904477398739607765914213363*w^23 - 59599514765442079393334054/6904477398739607765914213363*w^22 - 78448880012790909823425871/27617909594958431063656853452*w^21 - 1639688878076202120569849294083/13808954797479215531828426726*w^20 - 402568219369092838830965234868/6904477398739607765914213363*w^19 - 2943234107385738281603617559042/6904477398739607765914213363*w^18 - 3238324696540065888145180216781/13808954797479215531828426726*w^17 - 4140902100787287596569794384560/6904477398739607765914213363*w^16 - 2647962982154758539264216976700/6904477398739607765914213363*w^15 - 11004605014475864839072561920849/27617909594958431063656853452*w^14 - 6489149054095348876066017055259/13808954797479215531828426726*w^13 - 1103987083199487356637892189666/6904477398739607765914213363*w^12 - 3194829336411501311791589185168/6904477398739607765914213363*w^11 - 989873767055648941416283894235/6904477398739607765914213363*w^10 - 1782442392109746609050144885792/6904477398739607765914213363*w^9 - 890505896388096654264205617580/6904477398739607765914213363*w^8 - 1607873481392589406145881872361/27617909594958431063656853452*w^7 - 532836223560608229438058608311/6904477398739607765914213363*w^6 - 11992827064403364596930941903/6904477398739607765914213363*w^5 - 284979255294922752855712210588/6904477398739607765914213363*w^4 - 60999592050380862981264381375/13808954797479215531828426726*w^3 - 54652383486217011808750024416/6904477398739607765914213363*w^2 - 11730340405355895582482110410/6904477398739607765914213363*w - 29526763542674157656296397339/27617909594958431063656853452\", \"-10521810151292353183379602373/13808954797479215531828426726*w^27 + 2301103703394102176934985099/6904477398739607765914213363*w^26 + 15137948629169480505392453087/27617909594958431063656853452*w^25 - 5776391924967835683575907887/27617909594958431063656853452*w^24 - 3113857742399141437348250191/6904477398739607765914213363*w^23 + 2173889016585180439727894753/27617909594958431063656853452*w^22 + 5187090749963700821808583615/13808954797479215531828426726*w^21 + 3029773949189296682748648239847/13808954797479215531828426726*w^20 - 1329838842696074642192269020777/13808954797479215531828426726*w^19 + 17273729685614939242686547860863/27617909594958431063656853452*w^18 - 7790387146414285029153655927823/27617909594958431063656853452*w^17 + 4582173455968231530454268435530/6904477398739607765914213363*w^16 - 7949261625668098141520483461065/27617909594958431063656853452*w^15 + 2054536066372142166221884124453/6904477398739607765914213363*w^14 + 2412959864145796384603284929599/13808954797479215531828426726*w^13 - 630184112226069761382606651535/6904477398739607765914213363*w^12 + 11422341311084186177056416996633/27617909594958431063656853452*w^11 - 5039994740037848809478458280219/27617909594958431063656853452*w^10 + 2083732174825906922197715812215/13808954797479215531828426726*w^9 - 1754074311300885168966772633197/27617909594958431063656853452*w^8 - 38656846251351022576657025942/6904477398739607765914213363*w^7 + 689982357283660218492091752203/13808954797479215531828426726*w^6 - 341322081826363529392718363385/13808954797479215531828426726*w^5 + 752329617012127949197630011845/27617909594958431063656853452*w^4 - 212059101295278149479607667687/27617909594958431063656853452*w^3 - 61372992291819160324771519541/13808954797479215531828426726*w^2 - 28470581441981601466017065323/27617909594958431063656853452*w + 651823947835090529026862377/13808954797479215531828426726\", \"69045213308661380463038564571/27617909594958431063656853452*w^27 + 32817890378625475434017437427/27617909594958431063656853452*w^26 + 6067649216283270918500376309/13808954797479215531828426726*w^25 - 220598589116844399376984282/6904477398739607765914213363*w^24 - 1558023187266063202900844323/27617909594958431063656853452*w^23 + 1610546342395587035913754689/13808954797479215531828426726*w^22 + 1042579333621700945299963293/13808954797479215531828426726*w^21 - 9943022904034947630879680384991/13808954797479215531828426726*w^20 - 4727337644240612272820124060889/13808954797479215531828426726*w^19 - 74472888830762809108405500927225/27617909594958431063656853452*w^18 - 16739457438099952399559081631467/13808954797479215531828426726*w^17 - 111451827892740906443892195885983/27617909594958431063656853452*w^16 - 47282212916842117527014495567001/27617909594958431063656853452*w^15 - 41378372426636357451611223976013/13808954797479215531828426726*w^14 - 57136832609261339209611306220755/27617909594958431063656853452*w^13 - 39681113273562939811958960704605/27617909594958431063656853452*w^12 - 16786948997025192166904486951957/6904477398739607765914213363*w^11 - 6681292847628925399290740188779/6904477398739607765914213363*w^10 - 46854925916843219620718607878585/27617909594958431063656853452*w^9 - 4405684164383911225041880852301/6904477398739607765914213363*w^8 - 7599250087959001747145870688471/13808954797479215531828426726*w^7 - 4820090469278203678504081435419/13808954797479215531828426726*w^6 - 1590557236603949669179695023549/13808954797479215531828426726*w^5 - 6342946183222794759507890041231/27617909594958431063656853452*w^4 - 556477398857076263377165421390/6904477398739607765914213363*w^3 - 1893720469694427065687414806493/27617909594958431063656853452*w^2 - 761399311003220615733646407421/27617909594958431063656853452*w - 49792586648122123821885324390/6904477398739607765914213363\", \"-46558773449229870620232456175/13808954797479215531828426726*w^27 - 9679519715136074503635985144/6904477398739607765914213363*w^26 - 1994187238931836726724614882/6904477398739607765914213363*w^25 - 289450247100688675184599197/6904477398739607765914213363*w^24 - 3565289065258353663375267513/27617909594958431063656853452*w^23 - 284291984025027894581463950/6904477398739607765914213363*w^22 + 2229050835405735571396542237/27617909594958431063656853452*w^21 + 26817485699323760377823544480007/27617909594958431063656853452*w^20 + 11148350867288224075443881884599/27617909594958431063656853452*w^19 + 49011241028620146875375336451923/13808954797479215531828426726*w^18 + 10034487069853451165313894792204/6904477398739607765914213363*w^17 + 35829013223306216141337369949254/6904477398739607765914213363*w^16 + 28634782915791239407493154710439/13808954797479215531828426726*w^15 + 25975581220427347089353394564296/6904477398739607765914213363*w^14 + 36166101569500090183019609009533/13808954797479215531828426726*w^13 + 12110617741476019426938352468925/6904477398739607765914213363*w^12 + 21337783835873088284109353655707/6904477398739607765914213363*w^11 + 8368389456631729019221294836242/6904477398739607765914213363*w^10 + 57969161262672095390466889294405/27617909594958431063656853452*w^9 + 11131120163450429926071151072657/13808954797479215531828426726*w^8 + 18352884824796596995036333828991/27617909594958431063656853452*w^7 + 11885500115377204684776145940935/27617909594958431063656853452*w^6 + 4265249833946892408925284661015/27617909594958431063656853452*w^5 + 1920151908420168687066788853483/6904477398739607765914213363*w^4 + 758052282952509186234928537561/6904477398739607765914213363*w^3 + 580681502859511206363190163896/6904477398739607765914213363*w^2 + 374059416062579338985673240453/13808954797479215531828426726*w + 51538413355963121703060873430/6904477398739607765914213363\", \"-9331983754332078427253051955/13808954797479215531828426726*w^27 - 2835148623264460389629699306/6904477398739607765914213363*w^26 + 1882288733961109032958685743/13808954797479215531828426726*w^25 + 2066747913961965681067662037/13808954797479215531828426726*w^24 + 1246775485210789886589860439/27617909594958431063656853452*w^23 - 942907348608055457533083783/13808954797479215531828426726*w^22 - 644710477426119909943818015/13808954797479215531828426726*w^21 + 5375439016113641660649637088851/27617909594958431063656853452*w^20 + 3267075574528151451745125031499/27617909594958431063656853452*w^19 + 4525612013771651527182857069992/6904477398739607765914213363*w^18 + 2616771411803947830925781882697/6904477398739607765914213363*w^17 + 11323195093078860515669236426283/13808954797479215531828426726*w^16 + 6312289502214388137687410693257/13808954797479215531828426726*w^15 + 11587047697072628878810691751355/27617909594958431063656853452*w^14 + 3317257495237565567110401267686/6904477398739607765914213363*w^13 + 1083354317165953524879318466376/6904477398739607765914213363*w^12 + 7030098098877021401093650981695/13808954797479215531828426726*w^11 + 2955148774263066495061945021215/13808954797479215531828426726*w^10 + 7151140910162171710944202874857/27617909594958431063656853452*w^9 + 898571286164112129392964478099/6904477398739607765914213363*w^8 + 234333473948502548349069322895/13808954797479215531828426726*w^7 + 1575592588425235844686374370005/27617909594958431063656853452*w^6 + 261699573900104218365241490147/27617909594958431063656853452*w^5 + 635564060956275609885339691727/13808954797479215531828426726*w^4 + 142007292520623818570788336765/6904477398739607765914213363*w^3 + 86139540206804670649785884369/13808954797479215531828426726*w^2 - 21921383311027643520958618213/13808954797479215531828426726*w - 43449564169036148875800855735/27617909594958431063656853452\", \"-14660864432693107296267720460/6904477398739607765914213363*w^27 - 2396284341939567683441599583/6904477398739607765914213363*w^26 + 8471068815357228301257339407/13808954797479215531828426726*w^25 + 1555017598359035158703490266/6904477398739607765914213363*w^24 - 10740730238319503406792554593/27617909594958431063656853452*w^23 - 2975575567077381228790567759/27617909594958431063656853452*w^22 + 1289662391705746274118567483/6904477398739607765914213363*w^21 + 4222648048399533035270174665100/6904477398739607765914213363*w^20 + 1378927315181918408782924154669/13808954797479215531828426726*w^19 + 27702537917542818164662050127959/13808954797479215531828426726*w^18 + 4031819737805613555151830596171/13808954797479215531828426726*w^17 + 70125602212708425298554825108759/27617909594958431063656853452*w^16 + 8264076168453777221994479304819/27617909594958431063656853452*w^15 + 10363320754030694364458335367820/6904477398739607765914213363*w^14 + 5806947093265009707334664386308/6904477398739607765914213363*w^13 + 3250196223061386843501218398345/6904477398739607765914213363*w^12 + 18882132150388638679534375977363/13808954797479215531828426726*w^11 + 1466086844392848797590604124969/6904477398739607765914213363*w^10 + 21889115757258746149685678809741/27617909594958431063656853452*w^9 + 1901991293101334100949215091581/27617909594958431063656853452*w^8 + 2313723991859785978110690805283/13808954797479215531828426726*w^7 + 769297598041069054911468991171/6904477398739607765914213363*w^6 + 403163288079202114149296610791/13808954797479215531828426726*w^5 + 1687763989922839497510397110395/13808954797479215531828426726*w^4 + 233484702505159645679853727715/13808954797479215531828426726*w^3 + 186204779300637859487171785925/27617909594958431063656853452*w^2 + 20342356663504427931974152951/27617909594958431063656853452*w + 33733272627904557946675084789/13808954797479215531828426726\", \"-10673598984286602174905081610/6904477398739607765914213363*w^27 - 10019390054516968547749682111/13808954797479215531828426726*w^26 - 6569165400911926075438419213/6904477398739607765914213363*w^25 + 15552896261845444493876838901/27617909594958431063656853452*w^24 + 14134617793805735697681347391/27617909594958431063656853452*w^23 - 10340735464826728151092311719/27617909594958431063656853452*w^22 - 10758852326212476854700710555/13808954797479215531828426726*w^21 + 12302989415221957527353916608929/27617909594958431063656853452*w^20 + 5791401728925251542339240921571/27617909594958431063656853452*w^19 + 12863945059712943721373015583328/6904477398739607765914213363*w^18 + 16099559711370343435584954494921/27617909594958431063656853452*w^17 + 21105207876980312701749009080032/6904477398739607765914213363*w^16 + 15864894256089506925698299187865/27617909594958431063656853452*w^15 + 70496925151850246425524561724111/27617909594958431063656853452*w^14 + 10104591962410307834853127081655/13808954797479215531828426726*w^13 + 19509449334654143166973633260995/13808954797479215531828426726*w^12 + 9858163513326489141175747262778/6904477398739607765914213363*w^11 + 19033390050988179165687420747119/27617909594958431063656853452*w^10 + 35152646442444665125881140685323/27617909594958431063656853452*w^9 + 6515970895851113613359987856753/27617909594958431063656853452*w^8 + 3477165250127827159674107365289/6904477398739607765914213363*w^7 + 3687506350296452319278506721139/27617909594958431063656853452*w^6 + 4320844974887718922897821238323/27617909594958431063656853452*w^5 + 2052072889517160937524419178227/13808954797479215531828426726*w^4 + 1375786602559457684599577931839/27617909594958431063656853452*w^3 + 697719420075147305368549068907/13808954797479215531828426726*w^2 + 309333481366772723720466001863/27617909594958431063656853452*w + 96135206735285943337946442375/27617909594958431063656853452\", \"-1223015107804028766265462702979/13808954797479215531828426726*w^27 + 218640428233949313314179084051/27617909594958431063656853452*w^26 - 154885707292458938818650081857/13808954797479215531828426726*w^25 + 227650727634611855146480110915/13808954797479215531828426726*w^24 - 539502380937129190538374853431/27617909594958431063656853452*w^23 + 9478228097980336535834903691/13808954797479215531828426726*w^22 + 61982693237777243328036648455/13808954797479215531828426726*w^21 + 704690780149194882282919054554415/27617909594958431063656853452*w^20 - 31614861780075448988052372781091/13808954797479215531828426726*w^19 + 650904388466022836135895141361644/6904477398739607765914213363*w^18 - 177874665611300311384774158429927/13808954797479215531828426726*w^17 + 999069540363642399630904014418701/6904477398739607765914213363*w^16 - 197123535653570258543295075477701/6904477398739607765914213363*w^15 + 3313023510597953558287355068929869/27617909594958431063656853452*w^14 - 26503596862302255249336476096720/6904477398739607765914213363*w^13 + 1572764642710294834797695304998001/27617909594958431063656853452*w^12 + 302265378162179067846533056133966/6904477398739607765914213363*w^11 + 162905746080786051071347979732091/13808954797479215531828426726*w^10 + 1307209666322778710116374400203823/27617909594958431063656853452*w^9 - 42445426106020623493942858417986/6904477398739607765914213363*w^8 + 318793615068700703847139981891605/13808954797479215531828426726*w^7 - 88284954117382005626214643981835/27617909594958431063656853452*w^6 + 53593210599974944937314801060416/6904477398739607765914213363*w^5 + 11810907740978134067730980126925/6904477398739607765914213363*w^4 + 31267862374279194141357999385163/13808954797479215531828426726*w^3 + 5836151045680669294526144964052/6904477398739607765914213363*w^2 + 2654320390232324638710175021697/6904477398739607765914213363*w + 750385179599908943201346488787/27617909594958431063656853452\", \"138700240600803750207166386989/27617909594958431063656853452*w^27 - 52001455183626118377747134679/13808954797479215531828426726*w^26 - 15737040331126927911862612766/6904477398739607765914213363*w^25 + 49922301571553187839285470815/13808954797479215531828426726*w^24 + 47658154989303533106293742443/27617909594958431063656853452*w^23 - 53394283970575938058526490967/27617909594958431063656853452*w^22 - 22255687560433836277583566085/13808954797479215531828426726*w^21 - 19952030045611534957113829201387/13808954797479215531828426726*w^20 + 30000673161982078806178403208841/27617909594958431063656853452*w^19 - 124485893963029156701688346334611/27617909594958431063656853452*w^18 + 39051537209423214928439297036625/13808954797479215531828426726*w^17 - 148725840421365518973107148932061/27617909594958431063656853452*w^16 + 15639962858720261585336916787791/6904477398739607765914213363*w^15 - 19672117235625215328487465866217/6904477398739607765914213363*w^14 - 49077410757880045809853593991661/27617909594958431063656853452*w^13 + 6064939287485966754325889068603/6904477398739607765914213363*w^12 - 27015557698558446161677006775389/6904477398739607765914213363*w^11 + 22430917378746874873194314017213/13808954797479215531828426726*w^10 - 49928822769046221864616689266203/27617909594958431063656853452*w^9 + 1748212531387859249786751619345/27617909594958431063656853452*w^8 - 426289299220063648419170794797/6904477398739607765914213363*w^7 - 8764640626024392779206417094997/13808954797479215531828426726*w^6 + 8229753737083951844568321641171/27617909594958431063656853452*w^5 - 8837161317001247146727686550887/27617909594958431063656853452*w^4 + 741831379933130983149485370990/6904477398739607765914213363*w^3 + 313616798331410770515381698161/27617909594958431063656853452*w^2 - 331669974537185991072839957643/13808954797479215531828426726*w - 48089018905273145767506541935/6904477398739607765914213363\"], \"characters\": [[3, 2], [5, 1], [7, 5], [19, 10], [23, 14], [23, 16], [37, 32], [41, 10], [43, 11], [47, 15], [47, 18], [59, 29], [67, 18], [71, 20], [79, 38], [89, 54], [103, 29], [103, 94], [107, 92], [109, 5], [109, 39], [113, 76], [131, 89], [137, 16], [157, 84], [157, 116], [167, 98], [173, 9], [181, 38]]}" }, { "path": "anc/code/1.3.7/data/local2.json", "size_bytes": 621, "sha256": "cabdcad05bce575fa425c8a08a2d1b3ccb918adbb33e8bfe270f0d0565f5bae3", "mode": 420, "encoding": "utf-8", "text": "{\n\"W2_plus_Q2\": [\n\"001101010000110101111100000001111001\",\n\"000011000010000000100000000000100010\",\n\"000001000000010000010100000000101001\",\n\"000000000001010000001100000001011011\",\n\"000000000000000000000000000001111001\",\n\"000000000000000000000000000000100010\",\n\"000000000000000000000000000000001011\"\n],\n\"Q2\": {\n\"-1\": \"000011000010000000100000000000100010\",\n\"2\": \"001110010010110101011100000001011011\",\n\"5\": \"000001000000010000010100000000101001\"\n},\n\"points_used\": [\n[\n-40,\n591131412711573423326720,\n84\n],\n[\n-38,\n864734735839869549293544,\n80\n],\n[\n-38,\n273263295199333829574543,\n81\n],\n[\n-36,\n648823393722996630116800,\n80\n]\n]\n}" }, { "path": "anc/code/1.3.7/data/n.txt", "size_bytes": 105, "sha256": "1c8b111ebf43b8422d037d7618d9fdca8344d685a2d79eee5e9a33ccb790ceef", "mode": 420, "encoding": "utf-8", "text": "w^26-288*w^19-1028*w^17-1440*w^15-960*w^13-346*w^12-256*w^11-748*w^10-528*w^8-128*w^6-56*w^5-68*w^3-16*w\n" }, { "path": "anc/code/1.3.7/data/paper_C2.json", "size_bytes": 53735, "sha256": "d943a7d7588e5e5846915177472814362241011481195bf4532955333b95e470", "mode": 420, "encoding": "utf-8", "text": "{\n\"g\": \"w^28 - 288*w^21 - 1028*w^19 - 1440*w^17 - 960*w^15 - 346*w^14 - 256*w^13 - 748*w^12 - 528*w^10 - 128*w^8 - 56*w^7 - 68*w^5 - 16*w^3 + 1\",\n\"a\": \"-29354112621594001225043288092/6904477398739607765914213363*w^27 + 1145594063724194050316086272/6904477398739607765914213363*w^26 + 1142976398579353314880492624/6904477398739607765914213363*w^25 - 606060250918004533205471232/6904477398739607765914213363*w^24 - 752806018084876297015686464/6904477398739607765914213363*w^23 - 673534038059707174408404284/6904477398739607765914213363*w^22 + 489307053668435183744025344/6904477398739607765914213363*w^21 +8454557449925965644625685194176/6904477398739607765914213363*w^20 - 330237247197316193426894718976/6904477398739607765914213363*w^19 + 29846346927625395507245188643376/6904477398739607765914213363*w^18 - 1002950084649130013940084531200/6904477398739607765914213363*w^17 + 41312200598134094053344937376704/6904477398739607765914213363*w^16 - 832761245311390646548644843769/6904477398739607765914213363*w^15 + 27166622396520483173270839464192/6904477398739607765914213363*w^14 + 10456900631449108374612272802368/6904477398739607765914213363*w^13 + 6690587118118444621723114149888/6904477398739607765914213363*w^12 + 22375824561902369976821202133360/6904477398739607765914213363*w^11 - 657783209870128859509796159488/6904477398739607765914213363*w^10 + 15269201627889681270382006426688/6904477398739607765914213363*w^9 + 98194439773841703465293201329/6904477398739607765914213363*w^8 + 3548969806951063568652140116992/6904477398739607765914213363*w^7 + 2139099101234885922483666948420/6904477398739607765914213363*w^6 - 73183350121058738106199505920/6904477398739607765914213363*w^5 + 2128865881770246890189176907968/6904477398739607765914213363*w^4 - 38042256712817212459429744640/6904477398739607765914213363*w^3 + 438427705251079229943212315008/6904477398739607765914213363*w^2 + 60632772829104826396580132731/6904477398739607765914213363*w + 2026549443005599227282855936/6904477398739607765914213363\",\n\"n\": \"w^26 - 288*w^19 - 1028*w^17 - 1440*w^15 - 960*w^13 - 346*w^12 - 256*w^11 - 748*w^10 - 528*w^8 - 128*w^6 - 56*w^5 - 68*w^3 - 16*w\",\n\"basis\": [\n[\n\"-1\",\n\"-1\",\n\"1\"\n],\n[\n\"u_1\",\n\"w\",\n\"1\"\n],\n[\n\"u_2\",\n\"1145594063724194050316086272/6904477398739607765914213363*w^27 + 1142976398579353314880492624/6904477398739607765914213363*w^26 - 606060250918004533205471232/6904477398739607765914213363*w^25 - 752806018084876297015686464/6904477398739607765914213363*w^24 - 673534038059707174408404284/6904477398739607765914213363*w^23 + 489307053668435183744025344/6904477398739607765914213363*w^22 + 573014906893291813218223680/6904477398739607765914213363*w^21 -330237247197316193426894718976/6904477398739607765914213363*w^20 - 329680847373237752099311515200/6904477398739607765914213363*w^19 - 1002950084649130013940084531200/6904477398739607765914213363*w^18 - 957721576961267710717397475776/6904477398739607765914213363*w^17 - 832761245311390646548644843769/6904477398739607765914213363*w^16 - 1013325720209758002770717104128/6904477398739607765914213363*w^15 + 300377664377583950747295122536/6904477398739607765914213363*w^14 - 824065713009619691887967601664/6904477398739607765914213363*w^13 + 418948320950057060488822640544/6904477398739607765914213363*w^12 - 657783209870128859509796159488/6904477398739607765914213363*w^11 - 229769836311951376440849685888/6904477398739607765914213363*w^10 + 98194439773841703465293201329/6904477398739607765914213363*w^9 - 208356608612968588153400758784/6904477398739607765914213363*w^8 + 495268794425621853881242815268/6904477398739607765914213363*w^7 - 73183350121058738106199505920/6904477398739607765914213363*w^6 + 132786223501854806886233317712/6904477398739607765914213363*w^5- 38042256712817212459429744640/6904477398739607765914213363*w^4 - 31238096694424789657480294464/6904477398739607765914213363*w^3 + 60632772829104826396580132731/6904477398739607765914213363*w^2 + 2026549443005599227282855936/6904477398739607765914213363*w + 29354112621594001225043288092/6904477398739607765914213363\",\n\"1\"\n],\n[\n\"u_3\",\n\"368468974627061297463493120/6904477398739607765914213363*w^27 + 8779600924856365727377603575/13808954797479215531828426726*w^26 - 210539898769536795250034304/6904477398739607765914213363*w^25 - 264328732746443146032002854/6904477398739607765914213363*w^24 + 110309511852820183291730432/6904477398739607765914213363*w^23 + 197087525288354506850783776/6904477398739607765914213363*w^22 - 46605214263771247170840576/6904477398739607765914213363*w^21 - 106267454208920581208913090016/6904477398739607765914213363*w^20 - 1264363062754789081914545848282/6904477398739607765914213363*w^19 - 318039385795418404558431028992/6904477398739607765914213363*w^18 - 4436484456118642185495665372134/6904477398739607765914213363*w^17 - 346011109952511942354255440384/6904477398739607765914213363*w^16 - 6106447716175976199026076605008/6904477398739607765914213363*w^15 - 150471084956876603603987527680/6904477398739607765914213363*w^14 - 4120835753995038471226561746752/6904477398739607765914213363*w^13 - 2986130135056370756012490525925/13808954797479215531828426726*w^12 -1236187633227882259481611366016/6904477398739607765914213363*w^11 - 3103577013054634496730048232080/6904477398739607765914213363*w^10 - 73835756114404699487563450368/6904477398739607765914213363*w^9 - 2103717400530075067421182742816/6904477398739607765914213363*w^8 - 3247070315694987231542456320/6904477398739607765914213363*w^7 - 501997555342791068393139012704/6904477398739607765914213363*w^6 - 217651503334708669432654809245/6904477398739607765914213363*w^5 - 11397985945891366549371748608/6904477398739607765914213363*w^4 - 252768590748436038793626645150/6904477398739607765914213363*w^3 + 890353910191943731663715328/6904477398739607765914213363*w^2 - 54617242022727983583882489760/6904477398739607765914213363*w - 519825131618551722751092736/6904477398739607765914213363\",\n\"1\"\n],\n[\n\"u_4\",\n\"2650790986217601342662063395/13808954797479215531828426726*w^27 + 3449007417559692609521533924/6904477398739607765914213363*w^26 - 5699130425585418011186163403/27617909594958431063656853452*w^25 - 563132828227494235861334687/6904477398739607765914213363*w^24 + 2577526318947559889858140085/27617909594958431063656853452*w^23 + 4226851950373926124308789143/27617909594958431063656853452*w^22 - 1547453407761301380716558769/27617909594958431063656853452*w^21 - 1531799562710578236025872386119/27617909594958431063656853452*w^20 - 3972936980613945268050516841589/27617909594958431063656853452*w^19 - 951066333410635026319099338583/6904477398739607765914213363*w^18 - 6766630817873977975056005297793/13808954797479215531828426726*w^17 - 2522158304977956839313338366367/27617909594958431063656853452*w^16 - 4692337490888224455639486244907/6904477398739607765914213363*w^15 + 917239754932755352300479520933/27617909594958431063656853452*w^14 - 3688472216891871760209008148461/6904477398739607765914213363*w^13 - 719026727045845300821833026638/6904477398739607765914213363*w^12 - 5640826481320418935359035886345/27617909594958431063656853452*w^11 - 4373310141772069158078418925491/13808954797479215531828426726*w^10 +905119457010819484448338740883/27617909594958431063656853452*w^9 - 6651461980919807694115509684245/27617909594958431063656853452*w^8 + 1460372195714107899838120053319/27617909594958431063656853452*w^7 - 2007595953048574056102834626263/27617909594958431063656853452*w^6 - 263877568811243510094432049105/27617909594958431063656853452*w^5 + 87539619717973389989343398109/13808954797479215531828426726*w^4 - 343454719377443771460034307011/13808954797479215531828426726*w^3 + 351801832116178928638432900575/27617909594958431063656853452*w^2 - 91262687820565898526813195749/13808954797479215531828426726*w + 60030441839377366911875077991/27617909594958431063656853452\",\n\"1\"\n],\n[\n\"u_5\",\n\"13614385337871251672682123373/13808954797479215531828426726*w^27 - 36302183949948130201253291573/27617909594958431063656853452*w^26 + 6298437716541217198023618933/27617909594958431063656853452*w^25 - 264593735216322060343384397/6904477398739607765914213363*w^24 - 37428215620007783089459967/6904477398739607765914213363*w^23 - 24391397352637359965557277/6904477398739607765914213363*w^22 - 705647298501774455298051391/27617909594958431063656853452*w^21 - 3920587584211905045956580391747/13808954797479215531828426726*w^20 + 5227996482920270531681296041493/13808954797479215531828426726*w^19 - 14902678503507987028276691865261/13808954797479215531828426726*w^18 + 37622794694260099482323324789561/27617909594958431063656853452*w^17 - 11410255166599642683233067953743/6904477398739607765914213363*w^16 + 13347968819825990744203579272398/6904477398739607765914213363*w^15 - 8713072692570315922762369790508/6904477398739607765914213363*w^14 + 13423967847630896238375550102551/13808954797479215531828426726*w^13 + 206839370280149692225648834805/27617909594958431063656853452*w^12 - 12760102166537595207576628529287/27617909594958431063656853452*w^11 + 13133714554064368797499037683491/13808954797479215531828426726*w^10 - 4870829234462095075192426783246/6904477398739607765914213363*w^9 + 4955622911274223209707465977406/6904477398739607765914213363*w^8 - 6852613991981598840414041089197/27617909594958431063656853452*w^7 + 816546864338657229240660593557/6904477398739607765914213363*w^6 + 736166152727168686545573693535/13808954797479215531828426726*w^5 - 1241334643773349322198027786823/13808954797479215531828426726*w^4 + 2507330415978129909990294069563/27617909594958431063656853452*w^3 - 522134111415596022122857332717/13808954797479215531828426726*w^2 + 144329990632455711068403846693/6904477398739607765914213363*w -12487931803812916635202231431/6904477398739607765914213363\",\n\"-1\"\n],\n[\n\"u_6\",\n\"1333150233266760739513960493/13808954797479215531828426726*w^27 + 1427131946618730456918945509/27617909594958431063656853452*w^26 + 97396531396940617946196539/27617909594958431063656853452*w^25 + 1140036330086143709122610027/27617909594958431063656853452*w^24 + 707169589224033016659976679/13808954797479215531828426726*w^23 + 448562875520412041330444063/27617909594958431063656853452*w^22 + 25262209554115153156393555/6904477398739607765914213363*w^21 - 768040084582306904230891070063/27617909594958431063656853452*w^20 - 102782394102504491318578286333/6904477398739607765914213363*w^19 - 2768408376463404683291417887847/27617909594958431063656853452*w^18 - 1795408895162563091748296995981/27617909594958431063656853452*w^17 - 4348290099689675910359975857155/27617909594958431063656853452*w^16 - 3356627582674576671358889334679/27617909594958431063656853452*w^15 - 4181465212077734596056474614523/27617909594958431063656853452*w^14 - 1088250336143333471681102651203/6904477398739607765914213363*w^13 - 3378501761835273900669783988949/27617909594958431063656853452*w^12 - 4156888800776571066513844160369/27617909594958431063656853452*w^11 - 2873867065376274754911647309349/27617909594958431063656853452*w^10 -676251715515236774280355487552/6904477398739607765914213363*w^9 - 1949230239140217029469886105555/27617909594958431063656853452*w^8 - 673454478546959245635387714405/13808954797479215531828426726*w^7 - 854574197201904127928553402705/27617909594958431063656853452*w^6 - 281152892037372335124086338581/13808954797479215531828426726*w^5 - 427274168418620078841680446257/27617909594958431063656853452*w^4 - 212803415069219302744061550817/27617909594958431063656853452*w^3 - 166656774167597822142775409967/27617909594958431063656853452*w^2 - 66476097785746430842448437039/27617909594958431063656853452*w - 17450880169825558928456708319/27617909594958431063656853452\",\n\"-1\"\n],\n[\n\"u_7\",\n\"-1785955237670895647510453168/6904477398739607765914213363*w^27 + 249926268472186942774826424/6904477398739607765914213363*w^26 + 1964387074641383059050069280/6904477398739607765914213363*w^25 + 1618705294624249279671118027/13808954797479215531828426726*w^24 - 2727804647249114664057124333/27617909594958431063656853452*w^23 - 2681290286032677472790982737/27617909594958431063656853452*w^22 + 423658405731074344148216367/27617909594958431063656853452*w^21 + 1029199814133144281308658319327/13808954797479215531828426726*w^20 - 288430128151040881153916511571/27617909594958431063656853452*w^19 + 1270047901815594449474134488228/6904477398739607765914213363*w^18 - 1959434984885394313586085131813/27617909594958431063656853452*w^17 + 1498098018807822075699138436953/13808954797479215531828426726*w^16 - 998857100351419658918821865550/6904477398739607765914213363*w^15 - 1775363162065943317967012176735/27617909594958431063656853452*w^14 - 337802523705369398374537523487/13808954797479215531828426726*w^13 - 604759411724822019219544317217/6904477398739607765914213363*w^12 + 577993860584453108261997225506/6904477398739607765914213363*w^11 - 762549844766737696015490627797/13808954797479215531828426726*w^10 - 426230761649473875142910710403/27617909594958431063656853452*w^9 - 1639875480758585499859013695897/27617909594958431063656853452*w^8 - 1475940509655111987133649203161/27617909594958431063656853452*w^7 - 63660946233810371287299265498/6904477398739607765914213363*w^6 - 234329249932842178967450199217/27617909594958431063656853452*w^5 + 116018084512495306349729938399/13808954797479215531828426726*w^4 - 19000659195222156363512040199/27617909594958431063656853452*w^3 - 46482896671765364146565191824/6904477398739607765914213363*w^2 - 25707913714669060985807776761/6904477398739607765914213363*w - 33370637612274275581618591553/27617909594958431063656853452\",\n\"1\"\n],\n[\n\"u_8\",\n\"607604766960440087967402169/6904477398739607765914213363*w^27 + 17493563139517612241822439557/27617909594958431063656853452*w^26 + 2119511500012890607084148381/27617909594958431063656853452*w^25 - 16560390548138222960456316225/27617909594958431063656853452*w^24 - 4561846215305904472278944963/27617909594958431063656853452*w^23 + 3257357642593094853546199451/6904477398739607765914213363*w^22 + 2150963384413749106168563909/13808954797479215531828426726*w^21 - 355897228329827817610075669241/13808954797479215531828426726*w^20 - 1260751138864936448815799673174/6904477398739607765914213363*w^19 - 3098356549815762293520048879539/27617909594958431063656853452*w^18 - 3302075094028045561786734470789/6904477398739607765914213363*w^17 - 1093361688837488316665560307758/6904477398739607765914213363*w^16 - 11924670992127925701049318466239/27617909594958431063656853452*w^15 - 481834428359050314043517982164/6904477398739607765914213363*w^14 - 942098196715954696995607338388/6904477398739607765914213363*w^13 - 5170149291281190486599972803489/27617909594958431063656853452*w^12 - 768350458211320039611263674803/27617909594958431063656853452*w^11 - 6352465743444839268628592424729/27617909594958431063656853452*w^10- 865270575478727514343473079199/27617909594958431063656853452*w^9 - 789972151895315184083988712261/13808954797479215531828426726*w^8 + 34536688183769123794272239027/13808954797479215531828426726*w^7 + 100013590766496213837382740831/13808954797479215531828426726*w^6 - 197947297709359666374451331021/6904477398739607765914213363*w^5 - 94574601686100710550948181977/27617909594958431063656853452*w^4 - 130341020307764937795295558799/13808954797479215531828426726*w^3 - 19305688584975836669876957322/6904477398739607765914213363*w^2 - 13943602675585116429514982069/27617909594958431063656853452*w + 7581555882820022030098938347/13808954797479215531828426726\",\n\"-1\"\n],\n[\n\"u_9\",\n\"13095161586693108932350967281/27617909594958431063656853452*w^27 + 1352740846353013501485738317/27617909594958431063656853452*w^26 + 979855032647497631123817275/27617909594958431063656853452*w^25 - 949660576529327167720646326/6904477398739607765914213363*w^24 + 1209918467776072900929945983/27617909594958431063656853452*w^23 + 972342934907981873303868437/6904477398739607765914213363*w^22 - 467266668930875064703000114/6904477398739607765914213363*w^21 - 1887332558942835352363146524157/13808954797479215531828426726*w^20 - 387887423794072601482648410811/27617909594958431063656853452*w^19 - 13741080386847886248592917257621/27617909594958431063656853452*w^18 - 297622010113639141612694167755/27617909594958431063656853452*w^17 - 20215188606937555426941116152665/27617909594958431063656853452*w^16 + 837324403713260695246764071307/27617909594958431063656853452*w^15 - 14686007107503716089137171038599/27617909594958431063656853452*w^14 - 3419295994505210950008248729267/27617909594958431063656853452*w^13 - 5073470952966230662713299325483/27617909594958431063656853452*w^12 - 9932837764074207238432358929221/27617909594958431063656853452*w^11 + 62374327690116804049856106545/13808954797479215531828426726*w^10- 8467160609545670132531235180299/27617909594958431063656853452*w^9 + 369728554423550799982760756865/13808954797479215531828426726*w^8 - 653562699207045031189066528214/6904477398739607765914213363*w^7 - 400634849884600231382488857011/13808954797479215531828426726*w^6 - 59051409946188340709407822561/27617909594958431063656853452*w^5 - 1077761624075444086737265881521/27617909594958431063656853452*w^4 + 63514552304513073458259330517/27617909594958431063656853452*w^3 - 465394070285699396439874465133/27617909594958431063656853452*w^2 - 11774738915426916832570472473/27617909594958431063656853452*w + 35812350956397647252595458525/27617909594958431063656853452\",\n\"1\"\n],\n[\n\"u_10\",\n\"-75781496416322890754008199171/27617909594958431063656853452*w^27 + 9630651214299992140038251557/27617909594958431063656853452*w^26 + 70078420743905579167413442511/27617909594958431063656853452*w^25 - 4464309525799451590975052569/27617909594958431063656853452*w^24 - 64068709326344439510769080837/27617909594958431063656853452*w^23 - 598821255459871922999293814/6904477398739607765914213363*w^22 + 28175868923655350408364843739/13808954797479215531828426726*w^21 + 21833421178158816150250269890381/27617909594958431063656853452*w^20 - 2822864499434482297064775599213/27617909594958431063656853452*w^19+ 28854032264145933356699256168443/13808954797479215531828426726*w^18 - 8572268347200656636326435030859/27617909594958431063656853452*w^17 + 27776284979441645721489297628265/13808954797479215531828426726*w^16 - 8624779580130406741305384351113/27617909594958431063656853452*w^15 + 21452482024823340373679435835019/27617909594958431063656853452*w^14 + 23490782345954634892823630110153/27617909594958431063656853452*w^13 - 2678426594871289899771317421571/27617909594958431063656853452*w^12 + 32764604235733009144182465623975/27617909594958431063656853452*w^11 - 4832099255164469309082609789845/27617909594958431063656853452*w^10 + 9663367317810434250869224312851/27617909594958431063656853452*w^9 - 444176365297316162984220878141/13808954797479215531828426726*w^8+ 386986890774108011381728624783/13808954797479215531828426726*w^7 + 4391775100976083686008949390191/27617909594958431063656853452*w^6 - 725104538561031634455424362553/27617909594958431063656853452*w^5 + 292922296455016957124324603443/6904477398739607765914213363*w^4 - 2645885148166676352424601625/27617909594958431063656853452*w^3 - 8599392469917691280441225709/6904477398739607765914213363*w^2 - 53698627455747300297124136159/27617909594958431063656853452*w + 21109814284483235665238101275/27617909594958431063656853452\",\n\"1\"\n],\n[\n\"u_11\",\n\"-9418932008132441638067328135/13808954797479215531828426726*w^27 + 4751427554648556264970886153/27617909594958431063656853452*w^26 + 12521091035947097489056553697/27617909594958431063656853452*w^25 - 163614595675787559742250847/27617909594958431063656853452*w^24 - 4149479792694430750439568187/27617909594958431063656853452*w^23 - 321502988174357303473624174/6904477398739607765914213363*w^22 + 130593510383291575017672610/6904477398739607765914213363*w^21 + 5424240949968143372396269019699/27617909594958431063656853452*w^20 - 1368920957974306648636549809459/27617909594958431063656853452*w^19 + 15760371074950435044403332991907/27617909594958431063656853452*w^18 - 1209092084487248289082184168574/6904477398739607765914213363*w^17 + 15449447075523131755310915831547/27617909594958431063656853452*w^16 - 6303693837802285685522162806145/27617909594958431063656853452*w^15 + 4170013225875320643851416079223/27617909594958431063656853452*w^14 + 955229175298016083651986979633/6904477398739607765914213363*w^13 - 3257627614181373178684113581533/27617909594958431063656853452*w^12 + 11320974243345233867814385805865/27617909594958431063656853452*w^11 - 3228756154292122000282793052787/27617909594958431063656853452*w^10 + 3801366829889763569889356059793/27617909594958431063656853452*w^9 - 796558816935886307066257278695/13808954797479215531828426726*w^8 - 329270130570125172971468280476/6904477398739607765914213363*w^7 + 917526417571477248953758634405/27617909594958431063656853452*w^6 - 615346540330906488016340246767/27617909594958431063656853452*w^5 + 1035257476200401739963132841983/27617909594958431063656853452*w^4 - 94576982862898691361889634509/13808954797479215531828426726*w^3 - 214573399399152591561781265199/27617909594958431063656853452*w^2 - 114358653850933556711490980553/27617909594958431063656853452*w+ 4653969601548634315774443035/27617909594958431063656853452\",\n\"1\"\n],\n[\n\"u_12\",\n\"-61186570740706122347177923943/27617909594958431063656853452*w^27 - 8682314042988170491931082245/27617909594958431063656853452*w^26 + 13319287628856275547778225407/27617909594958431063656853452*w^25 + 11850853382921627546444863091/27617909594958431063656853452*w^24 - 5822572486195920092984962221/27617909594958431063656853452*w^23 - 2324532942603991938833174487/13808954797479215531828426726*w^22 + 394674808167745236621735284/6904477398739607765914213363*w^21 + 17623788823735968551818939278363/27617909594958431063656853452*w^20 + 2500014350488429615984641031387/27617909594958431063656853452*w^19+ 29531387451939126349187209770975/13808954797479215531828426726*w^18 + 5512311893999266415829013575489/27617909594958431063656853452*w^17 + 38046994025138730296661455925729/13808954797479215531828426726*w^16 + 1658956500320359250847277762489/27617909594958431063656853452*w^15 + 45089871179965043809474066565279/27617909594958431063656853452*w^14 + 16627140141043067141253706643969/27617909594958431063656853452*w^13 + 12785019891802475594593180087023/27617909594958431063656853452*w^12 + 36892569209818139864366670101171/27617909594958431063656853452*w^11 + 2823844921812441861230972937699/27617909594958431063656853452*w^10 + 23732643264379245925339015387855/27617909594958431063656853452*w^9 - 493570102273453943440073745629/6904477398739607765914213363*w^8 + 1200566720558342820261631358777/6904477398739607765914213363*w^7 + 1081258495911559137016937440653/27617909594958431063656853452*w^6 + 707481375186013569820777761739/27617909594958431063656853452*w^5 + 808208609599798009379421974836/6904477398739607765914213363*w^4 + 148495813446596291619567789087/27617909594958431063656853452*w^3 + 104559375461788563293991217842/6904477398739607765914213363*w^2 - 435650634232104301236224916301/27617909594958431063656853452*w + 46727887165443736808709187203/27617909594958431063656853452\",\n\"-1\"\n],\n[\n\"u_13\",\n\"-17011979073420663202782696315/27617909594958431063656853452*w^27 + 1182974447409120087621146880/6904477398739607765914213363*w^26 - 22348723315682768944019059/6904477398739607765914213363*w^25 + 516571880678346118281762150/6904477398739607765914213363*w^24 - 2810030098087640176528267201/27617909594958431063656853452*w^23 - 467456979977538515695402205/27617909594958431063656853452*w^22 + 697479073604531424981520508/6904477398739607765914213363*w^21 + 2449567582904906637257699393271/13808954797479215531828426726*w^20 - 341107074922803133353005355037/6904477398739607765914213363*w^19 + 4378575020043336948198874728365/6904477398739607765914213363*w^18 - 5458895350702855975486920111061/27617909594958431063656853452*w^17 + 25398525013982167255744502737611/27617909594958431063656853452*w^16 - 4401935011045875103765273550557/13808954797479215531828426726*w^15 + 18545061562223059120256240869771/27617909594958431063656853452*w^14 - 1060274626004206594186263757795/27617909594958431063656853452*w^13 + 2227709309676004406953584420901/13808954797479215531828426726*w^12 + 2622032118996830660908089637674/6904477398739607765914213363*w^11 - 1008235823267271873568725225427/6904477398739607765914213363*w^10+ 10122922576640591388154494668629/27617909594958431063656853452*w^9 - 3958269688976354990979440669473/27617909594958431063656853452*w^8 + 1728226087931054040879902543955/13808954797479215531828426726*w^7 + 17925644373438408358902567875/13808954797479215531828426726*w^6 - 82314280114147800415268926003/6904477398739607765914213363*w^5 + 357377658183737139802130903471/6904477398739607765914213363*w^4 - 557325938840128984796819166203/27617909594958431063656853452*w^3 + 403022809487684819365990019651/27617909594958431063656853452*w^2 - 19116113491918442057711324514/6904477398739607765914213363*w - 708035454476755580400248907/27617909594958431063656853452\",\n\"-1\"\n],\n[\n\"u_14\",\n\"-881080934242572087342975069/27617909594958431063656853452*w^27 - 822575918106012477936583896/6904477398739607765914213363*w^26 - 2405422645679376370484005339/13808954797479215531828426726*w^25 - 1461012074476870721020260549/27617909594958431063656853452*w^24 + 44968301799423891279652050/6904477398739607765914213363*w^23 - 51509746784779239701791099/13808954797479215531828426726*w^22 - 148506676364684153208741057/6904477398739607765914213363*w^21 + 126963488470103220626373561441/13808954797479215531828426726*w^20 + 948352526371221571311111117609/27617909594958431063656853452*w^19 + 1145799043938934546211043447675/13808954797479215531828426726*w^18 + 3802819903378938060816306521827/27617909594958431063656853452*w^17 + 6162434739735291707166623459709/27617909594958431063656853452*w^16 + 3135202447545194032234181849339/13808954797479215531828426726*w^15 + 7760064520884048751233447142743/27617909594958431063656853452*w^14 + 5621777987354769625945818520423/27617909594958431063656853452*w^13 + 3059286593094823959639445939101/13808954797479215531828426726*w^12 + 2221974983779065809102234594895/13808954797479215531828426726*w^11 + 4226868215199191220361404286525/27617909594958431063656853452*w^10 +1953775262350425004434112009591/13808954797479215531828426726*w^9 + 1242725640785930234259018682413/13808954797479215531828426726*w^8 + 514721343490440855395732132191/6904477398739607765914213363*w^7 + 360557951989943111461441165431/13808954797479215531828426726*w^6 + 441580135733032265766271773455/27617909594958431063656853452*w^5 + 24927755736581468956523896418/6904477398739607765914213363*w^4 + 59628216821291116550514541265/27617909594958431063656853452*w^3 + 97557870958200520730758880645/27617909594958431063656853452*w^2 + 2193527911400871652326536906/6904477398739607765914213363*w + 15616098790211768687512479609/27617909594958431063656853452\",\n\"-1\"\n],\n[\n\"u_15\",\n\"82206216865571426229317458545/27617909594958431063656853452*w^27 - 3037135156869411648523997033/13808954797479215531828426726*w^26 - 8357229441052416964351403831/13808954797479215531828426726*w^25 - 562556318353452629611005489/13808954797479215531828426726*w^24 + 6486250313357960799821238971/27617909594958431063656853452*w^23 + 2835617692353600258751402591/13808954797479215531828426726*w^22 - 6087523407615126390499047123/27617909594958431063656853452*w^21 - 5920419427144097480906916916075/6904477398739607765914213363*w^20 + 438615400501641882013370495662/6904477398739607765914213363*w^19 - 19921756473506552681869664002910/6904477398739607765914213363*w^18 + 6565068194561734300934766784795/27617909594958431063656853452*w^17 - 103069927429725709221769261109263/27617909594958431063656853452*w^16 + 8272016633143484716937729429055/27617909594958431063656853452*w^15 - 14939169886121250262636122546259/6904477398739607765914213363*w^14 - 25011635224097923926837855490949/27617909594958431063656853452*w^13 - 1861652654719429157476079559381/6904477398739607765914213363*w^12 - 28424837447019138181094853102303/13808954797479215531828426726*w^11 + 3748622854442812717764130707889/13808954797479215531828426726*w^10 - 34520033274962054689661065392211/27617909594958431063656853452*w^9 + 465011247438167119293405280445/6904477398739607765914213363*w^8 - 4675013776511170496763983938217/27617909594958431063656853452*w^7 - 2760925792536952049770303505609/13808954797479215531828426726*w^6 + 437352564014859526179621443221/6904477398739607765914213363*w^5 - 1331986890192123615908914343228/6904477398739607765914213363*w^4 + 308004072836850719881508756217/27617909594958431063656853452*w^3 - 659820154349342676669719204551/27617909594958431063656853452*w^2 - 167830669510619837681130109705/27617909594958431063656853452*w + 94176996850802021533821611379/13808954797479215531828426726\",\n\"-1\"\n],\n[\n\"\\u03c0_1\",\n\"23173981991483033918965987531/27617909594958431063656853452*w^27 - 7587140459143078776410771397/27617909594958431063656853452*w^26 + 539033571475122968622822419/13808954797479215531828426726*w^25 + 360931038649127782121268259/13808954797479215531828426726*w^24 - 134786857063296908593015629/13808954797479215531828426726*w^23 - 3403840292095375519237381107/27617909594958431063656853452*w^22 + 2198509598294941014667995155/27617909594958431063656853452*w^21 - 6672477202947291197995025722169/27617909594958431063656853452*w^20 + 546229507728341572505799177508/6904477398739607765914213363*w^19 - 12068030423536638002574913275061/13808954797479215531828426726*w^18 + 7592363958726847805116305184845/27617909594958431063656853452*w^17 - 34398892376473405584499169245779/27617909594958431063656853452*w^16 + 5581973178007719810528788692435/13808954797479215531828426726*w^15 - 24158324683801375354324698544387/27617909594958431063656853452*w^14 + 1255409773554519034590849324355/27617909594958431063656853452*w^13 - 6160079198317682515485287864233/27617909594958431063656853452*w^12 - 3111485834417738073389581148951/6904477398739607765914213363*w^11 + 1113478688373440290151414166659/13808954797479215531828426726*w^10 - 5032101967035571941664814052531/13808954797479215531828426726*w^9 + 2096388223258047204411169351555/27617909594958431063656853452*w^8 - 2366292777075166087972362825097/27617909594958431063656853452*w^7 - 226903483670483181318801959641/27617909594958431063656853452*w^6 - 43248088195113056157043208199/13808954797479215531828426726*w^5 - 529451244142582262147354056219/13808954797479215531828426726*w^4 - 84764235547349598985680426157/27617909594958431063656853452*w^3 - 82372584544791235722532632391/27617909594958431063656853452*w^2 - 24117645433441386280015601028/6904477398739607765914213363*w +63710599238668624657326050207/27617909594958431063656853452\",\n\"2\"\n],\n[\n\"\\u03c0_2\",\n\"-113674414429085456297710523031/27617909594958431063656853452*w^27 - 9883206593692725121391539649/6904477398739607765914213363*w^26 - 12252623471196238522026740635/27617909594958431063656853452*w^25 - 2773914031532691834980482283/27617909594958431063656853452*w^24 - 3298005252610137402088162177/27617909594958431063656853452*w^23 - 962054802538633407269266387/27617909594958431063656853452*w^22 + 155517909794175824999661097/6904477398739607765914213363*w^21 + 32739258036589815110867129054035/27617909594958431063656853452*w^20 + 11384767673513789407324612864453/27617909594958431063656853452*w^19 +120385322740800988996925405651385/27617909594958431063656853452*w^18 + 20719496111618886514138851568863/13808954797479215531828426726*w^17 + 88618698560840366901170442355631/13808954797479215531828426726*w^16 + 30027820139791120990224062553103/13808954797479215531828426726*w^15 + 64990828658543019065092981100295/13808954797479215531828426726*w^14 + 81970555130129988400014089113415/27617909594958431063656853452*w^13 + 29424859758559825394520418141627/13808954797479215531828426726*w^12 + 102591765415534454202285931387707/27617909594958431063656853452*w^11 + 36538265262254458069356847098693/27617909594958431063656853452*w^10 + 71026157317966961643587965557131/27617909594958431063656853452*w^9 + 24230230648771360341232131673617/27617909594958431063656853452*w^8 + 11531049037098697162827905337811/13808954797479215531828426726*w^7 + 13543495537173760668897185865981/27617909594958431063656853452*w^6 + 5216927818164643276532123413633/27617909594958431063656853452*w^5 + 9022342567701377258908570237873/27617909594958431063656853452*w^4 + 820962157331091918934884334559/6904477398739607765914213363*w^3 + 1403321801158553814901246177321/13808954797479215531828426726*w^2 + 493675957839153045075621196127/13808954797479215531828426726*w + 157822941636317164532340503065/13808954797479215531828426726\",\n\"-8\"\n],\n[\n\"\\u03c0_3\",\n\"10095335119778798241906824013/13808954797479215531828426726*w^27 - 2451735679471772616092423399/6904477398739607765914213363*w^26 - 2023219732522392237900220895/27617909594958431063656853452*w^25 + 1170692471048762673200773297/6904477398739607765914213363*w^24 + 1766025096513608523360230673/13808954797479215531828426726*w^23 - 1061352028266953926555856941/6904477398739607765914213363*w^22 - 3766106339194226928602589447/27617909594958431063656853452*w^21 - 2905607103965098523845645552195/13808954797479215531828426726*w^20 + 2828296018828046563576390025955/27617909594958431063656853452*w^19 - 5044077761431598144234120832469/6904477398739607765914213363*w^18 + 8729386583258293167116876780213/27617909594958431063656853452*w^17 - 7002366999039952629162807706540/6904477398739607765914213363*w^16 + 2633544949823225982268887978886/6904477398739607765914213363*w^15 - 4754471212676796015523568342252/6904477398739607765914213363*w^14 - 509403498167076392305570193577/13808954797479215531828426726*w^13 - 542145359188497487767402677506/6904477398739607765914213363*w^12 - 13212267858209596853646379949777/27617909594958431063656853452*w^11 + 2635253528727588303520590472499/13808954797479215531828426726*w^10- 5228434962965587533536667424017/13808954797479215531828426726*w^9 + 719963063313424455009370975718/6904477398739607765914213363*w^8 - 2970931908555680193361774633445/27617909594958431063656853452*w^7 - 174817161665525170935937863179/6904477398739607765914213363*w^6 + 376714695862359528396040239841/27617909594958431063656853452*w^5 - 689570340231561275173598583833/13808954797479215531828426726*w^4 + 285475380515726532032689908451/27617909594958431063656853452*w^3 - 213734834884490396751149007509/13808954797479215531828426726*w^2 + 3149667053554504243816667461/6904477398739607765914213363*w - 9378191873060936156654338576/6904477398739607765914213363\",\n\"-8\"\n],\n[\n\"\\u03c0_4\",\n\"8319682858309082462580689573/27617909594958431063656853452*w^27 - 3579072085401920859271517235/13808954797479215531828426726*w^26 + 4298504437405271172245269931/27617909594958431063656853452*w^25 + 253643238840067623699992355/27617909594958431063656853452*w^24 - 1185652740115323917491595515/27617909594958431063656853452*w^23 - 234834950450839893397797246/6904477398739607765914213363*w^22 - 39090866312980365315962548/6904477398739607765914213363*w^21 - 1197693276607812918586828165027/13808954797479215531828426726*w^20 + 2061153724480815793231510492363/27617909594958431063656853452*w^19 - 2447763002398262186680710714202/6904477398739607765914213363*w^18 + 7285546904413275746117709987971/27617909594958431063656853452*w^17 - 16057131943599376209934192029679/27617909594958431063656853452*w^16 + 10317803233857674144506380028133/27617909594958431063656853452*w^15 - 3228336455370735424106793947294/6904477398739607765914213363*w^14 + 4396672619534366493616803179383/27617909594958431063656853452*w^13 - 449534556872352365384636736590/6904477398739607765914213363*w^12 - 5340198560071355117675337976887/27617909594958431063656853452*w^11 + 5924784644795312235820791931423/27617909594958431063656853452*w^10- 7057144522637999137364591220271/27617909594958431063656853452*w^9 + 2412245810626436102695827233821/13808954797479215531828426726*w^8 - 660823332229446180794449960405/6904477398739607765914213363*w^7 + 502511912954022264602388293603/13808954797479215531828426726*w^6 + 432564309142958411877594639717/27617909594958431063656853452*w^5 - 349393490483174936723255774709/13808954797479215531828426726*w^4 + 749298575804172172832532611581/27617909594958431063656853452*w^3 - 421557156879028585350534015771/27617909594958431063656853452*w^2 + 161316190511224223736609647997/27617909594958431063656853452*w - 22708467071150247464546014329/13808954797479215531828426726\",\n\"-8\"\n],\n[\n\"\\u03c0_5\",\n\"2847456602802209662883961093/6904477398739607765914213363*w^27 + 1397054885092127514011563900/6904477398739607765914213363*w^26 + 54937546786292451259887508/6904477398739607765914213363*w^25 + 635548889658996850984846376/6904477398739607765914213363*w^24 - 54487106919126828444112672/6904477398739607765914213363*w^23 - 59599514765442079393334054/6904477398739607765914213363*w^22 - 78448880012790909823425871/27617909594958431063656853452*w^21 - 1639688878076202120569849294083/13808954797479215531828426726*w^20 - 402568219369092838830965234868/6904477398739607765914213363*w^19 - 2943234107385738281603617559042/6904477398739607765914213363*w^18 - 3238324696540065888145180216781/13808954797479215531828426726*w^17 - 4140902100787287596569794384560/6904477398739607765914213363*w^16 - 2647962982154758539264216976700/6904477398739607765914213363*w^15 - 11004605014475864839072561920849/27617909594958431063656853452*w^14 - 6489149054095348876066017055259/13808954797479215531828426726*w^13 - 1103987083199487356637892189666/6904477398739607765914213363*w^12 - 3194829336411501311791589185168/6904477398739607765914213363*w^11 - 989873767055648941416283894235/6904477398739607765914213363*w^10 - 1782442392109746609050144885792/6904477398739607765914213363*w^9 - 890505896388096654264205617580/6904477398739607765914213363*w^8 - 1607873481392589406145881872361/27617909594958431063656853452*w^7 - 532836223560608229438058608311/6904477398739607765914213363*w^6 - 11992827064403364596930941903/6904477398739607765914213363*w^5 - 284979255294922752855712210588/6904477398739607765914213363*w^4 - 60999592050380862981264381375/13808954797479215531828426726*w^3 - 54652383486217011808750024416/6904477398739607765914213363*w^2 - 11730340405355895582482110410/6904477398739607765914213363*w - 29526763542674157656296397339/27617909594958431063656853452\",\n\"-11\"\n],\n[\n\"\\u03c0_6\",\n\"-10521810151292353183379602373/13808954797479215531828426726*w^27 + 2301103703394102176934985099/6904477398739607765914213363*w^26 + 15137948629169480505392453087/27617909594958431063656853452*w^25 - 5776391924967835683575907887/27617909594958431063656853452*w^24 - 3113857742399141437348250191/6904477398739607765914213363*w^23 + 2173889016585180439727894753/27617909594958431063656853452*w^22 + 5187090749963700821808583615/13808954797479215531828426726*w^21 + 3029773949189296682748648239847/13808954797479215531828426726*w^20 - 1329838842696074642192269020777/13808954797479215531828426726*w^19 + 17273729685614939242686547860863/27617909594958431063656853452*w^18 - 7790387146414285029153655927823/27617909594958431063656853452*w^17 + 4582173455968231530454268435530/6904477398739607765914213363*w^16 - 7949261625668098141520483461065/27617909594958431063656853452*w^15 + 2054536066372142166221884124453/6904477398739607765914213363*w^14 + 2412959864145796384603284929599/13808954797479215531828426726*w^13 - 630184112226069761382606651535/6904477398739607765914213363*w^12 + 11422341311084186177056416996633/27617909594958431063656853452*w^11 - 5039994740037848809478458280219/27617909594958431063656853452*w^10 + 2083732174825906922197715812215/13808954797479215531828426726*w^9 - 1754074311300885168966772633197/27617909594958431063656853452*w^8 - 38656846251351022576657025942/6904477398739607765914213363*w^7 + 689982357283660218492091752203/13808954797479215531828426726*w^6 - 341322081826363529392718363385/13808954797479215531828426726*w^5 + 752329617012127949197630011845/27617909594958431063656853452*w^4 - 212059101295278149479607667687/27617909594958431063656853452*w^3 - 61372992291819160324771519541/13808954797479215531828426726*w^2 - 28470581441981601466017065323/27617909594958431063656853452*w +651823947835090529026862377/13808954797479215531828426726\",\n\"-1331\"\n],\n[\n\"\\u03c0_7\",\n\"69045213308661380463038564571/27617909594958431063656853452*w^27 + 32817890378625475434017437427/27617909594958431063656853452*w^26 + 6067649216283270918500376309/13808954797479215531828426726*w^25 - 220598589116844399376984282/6904477398739607765914213363*w^24 - 1558023187266063202900844323/27617909594958431063656853452*w^23 + 1610546342395587035913754689/13808954797479215531828426726*w^22 + 1042579333621700945299963293/13808954797479215531828426726*w^21 - 9943022904034947630879680384991/13808954797479215531828426726*w^20 - 4727337644240612272820124060889/13808954797479215531828426726*w^19 - 74472888830762809108405500927225/27617909594958431063656853452*w^18 - 16739457438099952399559081631467/13808954797479215531828426726*w^17 - 111451827892740906443892195885983/27617909594958431063656853452*w^16 - 47282212916842117527014495567001/27617909594958431063656853452*w^15 - 41378372426636357451611223976013/13808954797479215531828426726*w^14 - 57136832609261339209611306220755/27617909594958431063656853452*w^13 - 39681113273562939811958960704605/27617909594958431063656853452*w^12 - 16786948997025192166904486951957/6904477398739607765914213363*w^11 - 6681292847628925399290740188779/6904477398739607765914213363*w^10 - 46854925916843219620718607878585/27617909594958431063656853452*w^9 - 4405684164383911225041880852301/6904477398739607765914213363*w^8- 7599250087959001747145870688471/13808954797479215531828426726*w^7 - 4820090469278203678504081435419/13808954797479215531828426726*w^6 - 1590557236603949669179695023549/13808954797479215531828426726*w^5 - 6342946183222794759507890041231/27617909594958431063656853452*w^4 - 556477398857076263377165421390/6904477398739607765914213363*w^3 - 1893720469694427065687414806493/27617909594958431063656853452*w^2 - 761399311003220615733646407421/27617909594958431063656853452*w - 49792586648122123821885324390/6904477398739607765914213363\",\n\"1771561\"\n],\n[\n\"\\u03c0_8\",\n\"-46558773449229870620232456175/13808954797479215531828426726*w^27 - 9679519715136074503635985144/6904477398739607765914213363*w^26 - 1994187238931836726724614882/6904477398739607765914213363*w^25 - 289450247100688675184599197/6904477398739607765914213363*w^24 - 3565289065258353663375267513/27617909594958431063656853452*w^23 - 284291984025027894581463950/6904477398739607765914213363*w^22 + 2229050835405735571396542237/27617909594958431063656853452*w^21 + 26817485699323760377823544480007/27617909594958431063656853452*w^20 + 11148350867288224075443881884599/27617909594958431063656853452*w^19 + 49011241028620146875375336451923/13808954797479215531828426726*w^18 + 10034487069853451165313894792204/6904477398739607765914213363*w^17 + 35829013223306216141337369949254/6904477398739607765914213363*w^16 + 28634782915791239407493154710439/13808954797479215531828426726*w^15 + 25975581220427347089353394564296/6904477398739607765914213363*w^14 + 36166101569500090183019609009533/13808954797479215531828426726*w^13 + 12110617741476019426938352468925/6904477398739607765914213363*w^12 + 21337783835873088284109353655707/6904477398739607765914213363*w^11 + 8368389456631729019221294836242/6904477398739607765914213363*w^10 + 57969161262672095390466889294405/27617909594958431063656853452*w^9 + 11131120163450429926071151072657/13808954797479215531828426726*w^8 + 18352884824796596995036333828991/27617909594958431063656853452*w^7 + 11885500115377204684776145940935/27617909594958431063656853452*w^6 + 4265249833946892408925284661015/27617909594958431063656853452*w^5 + 1920151908420168687066788853483/6904477398739607765914213363*w^4 + 758052282952509186234928537561/6904477398739607765914213363*w^3 + 580681502859511206363190163896/6904477398739607765914213363*w^2 + 374059416062579338985673240453/13808954797479215531828426726*w + 51538413355963121703060873430/6904477398739607765914213363\",\n\"1771561\"\n],\n[\n\"\\u03c0_9\",\n\"-9331983754332078427253051955/13808954797479215531828426726*w^27 - 2835148623264460389629699306/6904477398739607765914213363*w^26 + 1882288733961109032958685743/13808954797479215531828426726*w^25 + 2066747913961965681067662037/13808954797479215531828426726*w^24 + 1246775485210789886589860439/27617909594958431063656853452*w^23 - 942907348608055457533083783/13808954797479215531828426726*w^22 - 644710477426119909943818015/13808954797479215531828426726*w^21 + 5375439016113641660649637088851/27617909594958431063656853452*w^20 + 3267075574528151451745125031499/27617909594958431063656853452*w^19 + 4525612013771651527182857069992/6904477398739607765914213363*w^18 + 2616771411803947830925781882697/6904477398739607765914213363*w^17 + 11323195093078860515669236426283/13808954797479215531828426726*w^16 + 6312289502214388137687410693257/13808954797479215531828426726*w^15 + 11587047697072628878810691751355/27617909594958431063656853452*w^14 + 3317257495237565567110401267686/6904477398739607765914213363*w^13 + 1083354317165953524879318466376/6904477398739607765914213363*w^12 + 7030098098877021401093650981695/13808954797479215531828426726*w^11 + 2955148774263066495061945021215/13808954797479215531828426726*w^10 + 7151140910162171710944202874857/27617909594958431063656853452*w^9 + 898571286164112129392964478099/6904477398739607765914213363*w^8 + 234333473948502548349069322895/13808954797479215531828426726*w^7 + 1575592588425235844686374370005/27617909594958431063656853452*w^6 + 261699573900104218365241490147/27617909594958431063656853452*w^5 + 635564060956275609885339691727/13808954797479215531828426726*w^4 + 142007292520623818570788336765/6904477398739607765914213363*w^3 + 86139540206804670649785884369/13808954797479215531828426726*w^2 - 21921383311027643520958618213/13808954797479215531828426726*w - 43449564169036148875800855735/27617909594958431063656853452\",\n\"1771561\"\n],\n[\n\"\\u03c0_10\",\n\"-14660864432693107296267720460/6904477398739607765914213363*w^27 - 2396284341939567683441599583/6904477398739607765914213363*w^26 + 8471068815357228301257339407/13808954797479215531828426726*w^25 + 1555017598359035158703490266/6904477398739607765914213363*w^24 - 10740730238319503406792554593/27617909594958431063656853452*w^23 - 2975575567077381228790567759/27617909594958431063656853452*w^22 + 1289662391705746274118567483/6904477398739607765914213363*w^21 + 4222648048399533035270174665100/6904477398739607765914213363*w^20 + 1378927315181918408782924154669/13808954797479215531828426726*w^19 + 27702537917542818164662050127959/13808954797479215531828426726*w^18 + 4031819737805613555151830596171/13808954797479215531828426726*w^17 + 70125602212708425298554825108759/27617909594958431063656853452*w^16 + 8264076168453777221994479304819/27617909594958431063656853452*w^15 + 10363320754030694364458335367820/6904477398739607765914213363*w^14 + 5806947093265009707334664386308/6904477398739607765914213363*w^13 + 3250196223061386843501218398345/6904477398739607765914213363*w^12 + 18882132150388638679534375977363/13808954797479215531828426726*w^11 + 1466086844392848797590604124969/6904477398739607765914213363*w^10 + 21889115757258746149685678809741/27617909594958431063656853452*w^9 + 1901991293101334100949215091581/27617909594958431063656853452*w^8 + 2313723991859785978110690805283/13808954797479215531828426726*w^7 + 769297598041069054911468991171/6904477398739607765914213363*w^6 + 403163288079202114149296610791/13808954797479215531828426726*w^5 + 1687763989922839497510397110395/13808954797479215531828426726*w^4 + 233484702505159645679853727715/13808954797479215531828426726*w^3 + 186204779300637859487171785925/27617909594958431063656853452*w^2 + 20342356663504427931974152951/27617909594958431063656853452*w + 33733272627904557946675084789/13808954797479215531828426726\",\n\"1703130361\"\n],\n[\n\"\\u03c0_11\",\n\"-10673598984286602174905081610/6904477398739607765914213363*w^27 - 10019390054516968547749682111/13808954797479215531828426726*w^26 - 6569165400911926075438419213/6904477398739607765914213363*w^25 + 15552896261845444493876838901/27617909594958431063656853452*w^24 + 14134617793805735697681347391/27617909594958431063656853452*w^23 - 10340735464826728151092311719/27617909594958431063656853452*w^22 - 10758852326212476854700710555/13808954797479215531828426726*w^21 + 12302989415221957527353916608929/27617909594958431063656853452*w^20 + 5791401728925251542339240921571/27617909594958431063656853452*w^19 + 12863945059712943721373015583328/6904477398739607765914213363*w^18 + 16099559711370343435584954494921/27617909594958431063656853452*w^17 + 21105207876980312701749009080032/6904477398739607765914213363*w^16 + 15864894256089506925698299187865/27617909594958431063656853452*w^15 + 70496925151850246425524561724111/27617909594958431063656853452*w^14 + 10104591962410307834853127081655/13808954797479215531828426726*w^13 + 19509449334654143166973633260995/13808954797479215531828426726*w^12 + 9858163513326489141175747262778/6904477398739607765914213363*w^11 + 19033390050988179165687420747119/27617909594958431063656853452*w^10 + 35152646442444665125881140685323/27617909594958431063656853452*w^9 + 6515970895851113613359987856753/27617909594958431063656853452*w^8 + 3477165250127827159674107365289/6904477398739607765914213363*w^7 + 3687506350296452319278506721139/27617909594958431063656853452*w^6 + 4320844974887718922897821238323/27617909594958431063656853452*w^5 + 2052072889517160937524419178227/13808954797479215531828426726*w^4 + 1375786602559457684599577931839/27617909594958431063656853452*w^3 + 697719420075147305368549068907/13808954797479215531828426726*w^2 + 309333481366772723720466001863/27617909594958431063656853452*w + 96135206735285943337946442375/27617909594958431063656853452\",\n\"-2900653026559990321\"\n],\n[\n\"\\u03c0_12\",\n\"-1223015107804028766265462702979/13808954797479215531828426726*w^27 + 218640428233949313314179084051/27617909594958431063656853452*w^26 - 154885707292458938818650081857/13808954797479215531828426726*w^25 + 227650727634611855146480110915/13808954797479215531828426726*w^24 - 539502380937129190538374853431/27617909594958431063656853452*w^23 + 9478228097980336535834903691/13808954797479215531828426726*w^22 + 61982693237777243328036648455/13808954797479215531828426726*w^21 + 704690780149194882282919054554415/27617909594958431063656853452*w^20 - 31614861780075448988052372781091/13808954797479215531828426726*w^19 + 650904388466022836135895141361644/6904477398739607765914213363*w^18 - 177874665611300311384774158429927/13808954797479215531828426726*w^17 + 999069540363642399630904014418701/6904477398739607765914213363*w^16 - 197123535653570258543295075477701/6904477398739607765914213363*w^15 + 3313023510597953558287355068929869/27617909594958431063656853452*w^14 - 26503596862302255249336476096720/6904477398739607765914213363*w^13 + 1572764642710294834797695304998001/27617909594958431063656853452*w^12 + 302265378162179067846533056133966/6904477398739607765914213363*w^11 + 162905746080786051071347979732091/13808954797479215531828426726*w^10 + 1307209666322778710116374400203823/27617909594958431063656853452*w^9 - 42445426106020623493942858417986/6904477398739607765914213363*w^8 + 318793615068700703847139981891605/13808954797479215531828426726*w^7 - 88284954117382005626214643981835/27617909594958431063656853452*w^6 + 53593210599974944937314801060416/6904477398739607765914213363*w^5 + 11810907740978134067730980126925/6904477398739607765914213363*w^4 +31267862374279194141357999385163/13808954797479215531828426726*w^3 + 5836151045680669294526144964052/6904477398739607765914213363*w^2 + 2654320390232324638710175021697/6904477398739607765914213363*w + 750385179599908943201346488787/27617909594958431063656853452\",\n\"8413787980491631914592311851613683041\"\n],\n[\n\"\\u03c0_13\",\n\"138700240600803750207166386989/27617909594958431063656853452*w^27 - 52001455183626118377747134679/13808954797479215531828426726*w^26 - 15737040331126927911862612766/6904477398739607765914213363*w^25 + 49922301571553187839285470815/13808954797479215531828426726*w^24 + 47658154989303533106293742443/27617909594958431063656853452*w^23 - 53394283970575938058526490967/27617909594958431063656853452*w^22 - 22255687560433836277583566085/13808954797479215531828426726*w^21 - 19952030045611534957113829201387/13808954797479215531828426726*w^20 + 30000673161982078806178403208841/27617909594958431063656853452*w^19 - 124485893963029156701688346334611/27617909594958431063656853452*w^18 + 39051537209423214928439297036625/13808954797479215531828426726*w^17 - 148725840421365518973107148932061/27617909594958431063656853452*w^16 + 15639962858720261585336916787791/6904477398739607765914213363*w^15 - 19672117235625215328487465866217/6904477398739607765914213363*w^14 - 49077410757880045809853593991661/27617909594958431063656853452*w^13 + 6064939287485966754325889068603/6904477398739607765914213363*w^12 - 27015557698558446161677006775389/6904477398739607765914213363*w^11 + 22430917378746874873194314017213/13808954797479215531828426726*w^10 - 49928822769046221864616689266203/27617909594958431063656853452*w^9 + 1748212531387859249786751619345/27617909594958431063656853452*w^8 - 426289299220063648419170794797/6904477398739607765914213363*w^7 - 8764640626024392779206417094997/13808954797479215531828426726*w^6 + 8229753737083951844568321641171/27617909594958431063656853452*w^5 - 8837161317001247146727686550887/27617909594958431063656853452*w^4 + 741831379933130983149485370990/6904477398739607765914213363*w^3 + 313616798331410770515381698161/27617909594958431063656853452*w^2 - 331669974537185991072839957643/13808954797479215531828426726*w - 48089018905273145767506541935/6904477398739607765914213363\",\n\"8413787980491631914592311851613683041\"\n]\n],\n\"points2\": [\n[\n\"-20\",\n\"862886388452323520\"\n],\n[\n\"-18\",\n\"254298521528481144\"\n],\n[\n\"-18\",\n\"1150515458963686427\"\n],\n[\n\"-16\",\n\"1131811843442995200\"\n]\n]\n}" }, { "path": "anc/code/1.3.7/data/witnesses/wit_100000_150000.jsonl.gz", "size_bytes": 120981, "sha256": "6fa54dc3232f16e5662bb5a262adb5338a2039a400e4c034f91b267cc94150c4", "mode": 420, "encoding": "base64", "base64": "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" }, { "path": "anc/code/1.3.7/data/witnesses/wit_150000_200000.jsonl.gz", "size_bytes": 118312, "sha256": "1b63e2e336bdc3ef4d91f27db25ace23901b5fc1035efca04a31ddfb28d97d92", "mode": 420, "encoding": "base64", "base64": "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" }, { "path": "anc/code/1.3.7/data/witnesses/wit_200000_250000.jsonl.gz", "size_bytes": 118223, "sha256": "38a2dc1a15ebefb2846d65e78e8bf354e00b397cfbe4b878d55254aa268e81e4", "mode": 420, "encoding": "base64", "base64": "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" }, { "path": "anc/code/1.3.7/data/witnesses/wit_250000_300000.jsonl.gz", "size_bytes": 109355, "sha256": "011b48205af4ba2383fdea7ee760b3831e4e53f495292b7e003ba3fa52907d8a", "mode": 420, "encoding": "base64", "base64": "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" }, { "path": "anc/code/1.3.7/data/witnesses/wit_2_50000.jsonl.gz", "size_bytes": 142754, "sha256": "c45860d76752cab3b2c2c581812642d7a55e25987e5a31932e856a46120e9517", "mode": 420, "encoding": "base64", "base64": "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" }, { "path": "anc/code/1.3.7/data/witnesses/wit_300000_350000.jsonl.gz", "size_bytes": 109384, "sha256": "fea117823214a381a2eacaa7d841c3612575adb3107a240d078b77ebe70c51a5", "mode": 420, "encoding": "base64", "base64": "H4sICN8k0GoC/3dpdF8zMDAwMDBfMzUwMDAwLmpzb25sALR9a47mOo7s/7uKRv8+BkTqZa+lMfvfxmSVJYuPoOzswZ0BqvpkZX5J27JEBiOC/8np5//6P/+if/71n38fdNZ///Ovf1/nnz8Pyn/+Ivr7tTq+dn/xKH//6n+/mOnPn/z36/n+i9LfH8rX309o9f6Z8vfD+58/z/T3Z/7+PNP6yvyl4jP57w8cdfx7YvF9Px/wP//z//7z5ypoXsXf3yJD+hvJnz/S87+O+5/Wt6bnfx3rW8dvWn/S+ln730n/FvFDP//uYqzr15d1oX/+aH9v9t9/bvpCRHTjg8u6HhM02chFkMn89/yuGSTnZzncD+bvv3fx59+nepzr04u5GXc491p6/v1Yl1bNg6hPMB3d0UM8iPrE2Z842/rn9SHu4dkPvf+sJop1PeO3rh878ON31z0j8YHy/YTGp5G4jeNm3neW/v4X9fWQx42vz/O4n1xdj4OKCCavn1y39rI3pIrvzfdl+5ArWFh+dZl3iPRiy+a+JbNkE77RBL9APkgmsSXMxXKte8D2vZAP4L7N42fnXRT3Ry72uhbHWuHH/Qn2N8knsXaA8xoxE8vnXsWvHYtP3PMkv0n8elaXw+uHxQddYish8Wn3NtvMwrhvw3zLR9BUZtCbp8lml7QPL5ldmfTtMtvRbieTHz8jrDQizDYiRiEks1+x3TDsrybwAhDa7N07MCNsWd5DeGMORpvVgd4oCq8qRVea4B8zvItkePJ2V3vg3P87+83juYeM/mdCdzOhHdWGwD7K0/xcNi/mWN7m99YwDpEk2FubopWZwF7PPCPk7Ramlxuh52yPbXiX0j5i8KSZnx1obHb57+tex++7/2r377n+/tVGqO3vJ5X7mHwOsTtrSTKFu7NIHonD/dedA45Nb0Q89uh8P7J2f2O5T/P+93v6vR/dEY7b8GQAnOel3L/wuHPUO+nMd3L09+dbXoEf94XKk3hcCjex8R7l/qwqst3xBIo4blmmY/evHBt/F7fzvkfz1zwHGPcn8e7mlWJxuohXb+zdIp1q4gt1/a5j5ZLZpGkrOSrmzaniz6yOWr7mnR6/quh8iXXyK7OQrI5Bv3jVztJcQuWSK0b58LO6c6In19KvS47enmOX0mT0uh7wgINbl94AZpC6DLA3q9jNt6L3m1CJkNB34uyXwWn1E4QL0dZI8lHqdDc6A+FpAPc9uEDIXciMcRUq5fmeon9DQdsn23XHm8VQ4PEs3kN3frN6dXJZ5VThtZuNXIzWjnXUNje4P1+736l7F7p/Xe1i97y/mVIRW09rq1JncU+yyIgpZZE0XnLn6+J6rhV/l5nBgVO+zbrfHIGwMk2bopXccTejbAvDYJHPi7Jpbi7j8n2SXlE9KnfzC4Yn3gFbh2b7kjzvV2GFVvg3i0GuwV8yqKR3PFSTMUzYWd3QkmmBQn8X0cqgOIvjnUeB0cRxqW4rqUzxLpXSuuHjBJ1/sfwAEpucSC9tppnmE52xP7n2BgBBu0zwmtM2h47PFPd7ZnznurdpLda7GBvv+n3Nsvy7b9p9u8tY12XVkKWIzcNvz5f61yLq1vlCqIRF7ASnrmBX8N2+kuJlY7uqBSLRbK7ukQv73ss3o5qTJNtbPQN9igVqcm0VVXG3dbkTujwX6LVuXRu74rp96h6WdSebQfFgYbxOlQbifS6LYS2Tw8UGvzPYsn1twqBOt/d0bbPwp1knl24zy2Fqgo8FfKRwkHY8Uc5stcm64H5p7h0o30+piN2oXAtSuw/EuXMVuY/d7+R4S4tY+Flm302m0uSAzLre67nVnT76Q3xb1tjpIU+xip9yNpChqAlUqs+wbPbboF47I9pKquDFG64sGhien/Ehlx0YEOzgPombIa7ttoHM1AJTDJO6jGCiDFenPZHd/1S/4gnySRMzQDUS+rRsYyj6n3yQDNcI4a1B71xPnJdE2ihGct+gn+PlzAxxt4QxxhngtfLt+tS7tF412y8h05BoIj0W8GjW27p5Coc8qV235hSL1IXZ7YMoGzScTd+ooGLkaKDgPXAVmyA+PqNsTxZ44Yq+2Pt66UaWACmKzLvdJiS/Is7e8TTYgA5N3ngX670fd1QvV3N/jgz7D+sCktty7ePK213JHE2tkapZ87M7iySIBE7ZV/IhKoxkXuxkcYNi13NbT/8yadrR5d31gUoMa6xt8YBJIDdkzvh5y0TKI3656C6uBSh7EcUUUqq4YFVPtaf+s+BN0vcHtvAIHnX0mjGlaLOMnv7TsRp3cy2xsegXQlfcCb1e4C6/KorQ7l4oC3KIrUjcoy4v18W6Sy/s21DCnfywyyKGgTCGKL9/xvgcmuIKq6sYCjowMmobIOSqglTErnMLrq0IL/I42m7tHHEDIMbR8LFDbyuXfZTkKzKxqLq5y2Z3PeXFkH0iBTaWxO+wOxfa5DurIukIkpu3s49jzIpfViRMaPRr3nNWILRLsNVpl221VEz5x6jpGtZqcQfWZHIrSq6zZT7SlXHojq7K7ImP77oRCOqjFk4jf7mByDzAzdFNyqpDPShEo/vTR5d57PX3Ix8Hw/jsUVzPvnUSBRilO8iLTfkkLkvfR3sb762whkmoeA44tQ34IXGzTizjrGs8hGYktBDJbo2MyE3Bm5/fimu7Qoo+AtiD3Kg0srel4r56CTuhGRGLyL0VT5SXPAQwZlzNe5jiDnWDrywmALmHz6ZkXVHWrtGoZovxe3MV5zutvJDkpnqJvVYi0Mklz5d8f9V3iUT7XJlb002g/uSAVCQtZGWVHbHoBKFJhGohgGwuDmEBXfyqoo+Ztdk+cMmJqsps77BbypaLZh93nDYmBAcQQknOdPlEReZsvMkvsz4RGXfhTI5kVnWKaj0Q4nlqviWJ5lOeWLtAu27of27rA1u+v5FGk2B0tgbaOqiEeZE759HSV7e+J0mFu5tWRbwv9+E0zpn2LIdzNQXb6HS1a75PM/p+n0TEfWTZlWeA97fUNBB2bhNCTNdd/NfZPxtkh5Lv6y80kbx6H5CDwnpOjPAGG/m6Ly9zGqB/v+Tn/ZzBdwmdrxHSNU/layKFNzWi0POinlV1k0Sy1jQPrJjyt5gUzC64aMsvDjhknM4acGYFuv34N15UhhXXsceJDgJJ8z7ITWA5bLfTBgfFNLaAJQTJdGuhN3DsuQOqwtvFcItxdGLcMn8D9wyT4OzdM6KCDCWF7d70duNeunBbStQK8dhs/tkcYJu4apwX4TwiaM6YHfqBXo9wkVO044cf/tL2jJ9LQq/OorcKODBbbs+1ATiq/TdKZuc6ms1mq6X22uXTQA5+iQ73emjFsK+6xVazYf+aPDeBusxm5hw2N+aamSFW3RTIBh2SyaKhALPZ2e0mljGSU+3lVpsCF/n6zzibagLt6LcbkvcLFZKjd33Tnnfx2aKuwIyKX+qtZrLFuGiD/U6FNfkQ6Rwo8K2fuH9tERk735XwyIZ4QOrX/a5Nendnyc+cXx6JWBG8oPuTJ3VzUAqukZSMTmXrSvwzmKMtC2bnrRnq/noq7FJZvM0VlCUm3ZFuMqcPlFi0n14NNbMZMWssYrkDfnlLFEkfGG5r3XbTyzpNK0pxGVazyjHXxBYg3vBL78WSESUgf7FdFFEAasHIipSjtzHHpGeGbNAca25ekDhYg8mbKTb8qqsrpbJQPKZuC/Ys7ufamas+Dyhp1D6b1pisbtd+uhKSUWglS/CdrUbRYCRX+jdHwGKB5k553xPgKQgQi5BUBB0mSUChyg7MT5mYfXYScnAdSQ723tOuO/3hT38UUGJdgWTY6C8mIYBrtxogHHMEcJsbrlh6gsw60zsywMIqTBwzrqjwhgaYV+5WWCUO69v5RMpimZDoTM3gZLeQBG9NrFRyWU3RWQ+jd63qg+B0eKcL9bTAUDHNOLaUzqopOAfbu0fgLbcfVezpJ1PTGeQjZBrA8Gplj1vXxB48pBjNsCTHzWaBx1C33duHatkVLdZl2LIL1LRq4M+DfuLuGoUTrIYJQyaxH8qdaWXvgqpRBPojuU7mzKq2eUIhm6j4WEm2UM8nAkGLvGy/XQDJzV6iYy8kU8skw9lPCMc/QKBDInOjaSRYa7Tu5njzT8ESbZI2fjdVilzAfR0AQiD4iFqyeAasnuu9TE7J6Cj6ZeuKJnRoucwAB8drJ9HuITXKXWqATnHPaV2YWE+XiKQISj2LjGXQ6hVKKVmxNYqd4zwE18wxXxPmkbGGK8B+fnL67uotRP5+q7ASRNDSNx3usSu5fioE0qLn070z8uUbS9G+IMepU335DafjBGeQf1lwXLZe+Qm2Xp58hxl9uGkMCVW0heBfRUO6GUe0csIylByjSOv3xYw3cLztuU8Ph/ssOGVCeL/F4zs5yxO61CoKQM6D99yF8m9kiDWJ5s3dMq4kvuGpJXlQ029Ev13PFZ2qZthxviGx8UDqYXcMUCyqgHU667u+aJntVgSWPNLme41dl5DhzJ7F3CTvtTdkk6OR0EZLfHTK691o4DKF4GNHv2MZv+tpEZzivB+Pv07PgNZkbT7ftLtNPvo1bZbnxHQpshyDFiv2X0ioT5CjvhOWAh+WK6TxZhfjhpW8ex93tJpQEB6iqqBVQFy6Vsmclr7GkHbYxaFFpl0qNZ6X2cqzVf5RQEqQukAQazLcUXM/G4Zmi6lFsqahWupEgfo5R+icSf4M80FluqPNGJ6DI6Ie3RRv2Xb0G5CsksnrC+iVas4B5YSwBMd1l81dLF0SIGIzxY28Xfa5m2fg+zIzzpw9xIWllxRyTqBAb3cEBglDSEX6OaPIv+nvv4HCY/XgUKG7pXIyvkkuTEZ0gWSqoxwK9dKbwCV96anixCufiiGXwvTk+PbcfZh5x4vl2OvA7J3FyHcRlqvMTl4edNmQoPCBtEVmZpRFt9YzOBSK2Rx3SV0OhSZvYmjwpFyMohOWQpXt29LPYSWDiuv0Lm6RAWbEEk5Wr1Q2PV9+07e8Zgf+BQpupG0JFcjUlidQsVdywV4yAQaGJSlmr4f0YbKBfggcDIFZ2AE1T0COEWzBpv2lFacuUorrKnrX5H7417SV93p9qLyLgv0mgHBzaUu7qsDw1XVhdFsypCb3YCMtvgIpRn+f42ZiRlUR1IekPSHmIMRMcFXsjLBegVdEfn9Ejmny1dOI34gJLjpyB0C2YhRLWrBmJ17D1KE2S37ZF7LNHBrrWT+isBx7rcGzDDYhj4347l0IHLDbqWZyTlbpC9CUvjiEpTehTcy5WhH27vn36cOSTi9ixRfgjvZHLIH4KAGxZzYHToHlwHGCo8PpeglTRqulfOiOxhPo5XLJFMM0vN/TP5YMn7Z5F+BhfCVfKH/OSq9AZz/GTBbQK8N5bwaBWg+1+NbtcvHgzY1r+oOhpR5v7ydc0TnOo8ENiJv8G30OTjbAuoy9OXaF4LEpgT8xE185hSJEth08YStZpLQyCzPc6UkgipoqWyfikBFCgmmiIg0LsrK7EC1+2XJd63Tp1XLMw8zIV5fRtop5o6/VbFTlB1G+8mePF7OutOnJf/1Bvcc3Y0QGwWpGZFEsBTtof66mXc2bA4IRtZJ9wZNiXSHFy4G3fY/ADoFgOW/e9rb6tcmxFk5cYTvps2DvXLYQz973zuxwJyCzVODwTM2wsglqxncV1cY85QgNSGNpI8KxVpCz+VqFpdjdOb3dUPiyyM7gDHZp1XjvUiz6sUcXm9V0Q2mXZANc3nKwLscz2dIus0M4w3+IXNfA1dUedypSXHfS81G23bSmu201cvaRXF3Cliorh8p7Y2XJFD6llkXYOLHwZJr9oPUAHoyOpTWR9GMi8auUNVO1ci1SqVuXJL5mlpU0NGZbyiQDJcw20oi5pxz4wG0ovenNLZo/0M1feOhrXa8Qu2HtMBIV59Ch0O++ZQ+pBYJr8kJA6kT+PhJQcB0xSxT6aHLspP0CtphDoRsUDBZRzkCckfVD/gjKuOBztHvOGBczvmtuTrP+5lbqx4ZdYF10Kuw7ewujipGzrPL+fl7BW0Nf68/0tV+5f20QNtKFoqQaqWbF/GJia87i1B3UDfzZNAS1KMqX8Y2QBCp9H8/FLr0pQHzqKRCL7NMk1aiqkkXuplkwgLo8QLKw4asiIxdQv/BR5ySN9XJXgzOe6B/IZPzWEbCQ/A6mW5c2c9K0XcDNnLzBcHWe90JAS9IkmJrtrpymBXn6sJtBuCu2DgGg54EJG15BmKCpiNcYJrCnnsWbq/+iBOCQUv6t8bjt5LgQfx7+fdPOvHyqB/9jkG8mQ3Pck2Foei+HNo0yT0n74DSItUlw6mgsrduioQ+45xI0uFv/yuPNGf4MmUSteIyPHKba4JYzZFDv3EyshdknjDBtk1sgRqPzYRJccKtO5kVg2MyRMrAM1YCY32dpnuzsiF2YgaO32hYr5FAkNL6khElF6McIZqb4KJe6WHntuCg75JxDcDOHTiuExLaR1R9dSVv9Wd8c+8uN1R4eZ8AmK7C3y7Z0A04OryC7Ry/4RUSc4y9wzNc4djrkHOTtM0xAMuW4oIe3etd/ZZziBXFH3QgTJXaOte0vDqV6R9xd+QAGIiDoWn400sSDJC26r8yq2BRI9o6VDZoQ0RJZYONg48Z3kKUoNeO9sUDA63FUuSQRnJ3NiLRzsLoLm1VIQ6gTiDeyKbZiIj+Ic9S9p2HOnTI3I2lnnK2fyiGxJWnfSkKAlQxuKtDbdc1HB97VPmLbZcj26XdzGLjuZTXq3x0vJ+mzYWv+T1e/3DAYQjTqkCZ58LscMn23ALA704L/G7CO8VAix/Id+9W67ewUaGe32epXpNzX8ksLLepuxocQ+V1KOtUXukRiKBVla8nIZuVw4McrpH7r2V/auywB2LqaVxW3KvNmT087Zhu/d3iv5ZEsh1qR7WqS4X86P+y1/4jO6rU7k0RSaOE1qeWsPtQG+2biV2ZjJt0gIndBTEJpq7v7CoUF3JMvc0prc+pjmbGERIeUbHaZhn7gktXMoLFPE6CpUE8CXh6WPYPLPvjzY3JFXjZx1KXiiJvonT1q9LFe0iXw49r99ZQXAiuH6Sf/t9hMAtWlAl84PRCWHPo3n1eS8CyLko2MB7HQzJ1eMyd8jwVRuUGILcOKdwLATESOy2WTQEsryEgnW2Cn+rBWoUfeKFcZj61g4ryX9zKC/ELkzJ286QtLOiLCzBiXV+0pBzBU9eStczRJYD/bjd/tRUvNSBewMpWTAFXLhqQmfAa87EHVzxGu+6AT3GlLW6OYtU5wRuzcbMP7kIvfxbmuVigtBM4mFU+UJOYmHp1sr7hxClKTqnI96ep2aYPjrgp/ZtIDTFfeKrGwZHyau1nAl1GlOk+YbBFqAQBeWOc7C4QZKC9vkpFniAzqxpDG7lRlP2tCW9JKQXbf7n8ftmbDCK6tU4QXhFnkzN+TbHY+U/wmX3oRPvCG/phvvLVMvjWqdkwREd4h4NtTEwUb7qE1COMy7E7JCs3hVg22wap6vbiB2YZ4YtoGAvg28DW96UiC2To/N1MTrXAP/XjDnhJiw5cNYQizq1y8M8qr+yx7M1f6NVkJm0K8dQcGYT4ReurfR++2g7dcyT21+4VDSj6+g39JVAp8ezaWd+l3ZnNPkGKKHpJtwWl87ozpBtZ1ZWqOdbGHZ6GALqWMM4dULu38tVWxcAwyfvCrg3eSr2jwUIK2lAWKEa2bCtLLI0FrMO2bdIym0pM63GqteazOUpy+J+TFiwQ6Q6Ma46CxErCZf7swefM2HDmWW6UXCRW9q4b2GXKhxe/jO2O7pry53mVeOUcz9xydiOWjOkekTdvXMjwvcrtLz1z6LKVGfct1TLcro4bqt5L7p+K9y9NzdtsGuafcX/+pZUeHbbRhzzbIO8Ovg6bdBA07tp//McXx90f2dK2rVlIzb1BT4cLIsNzCxqmmCkD2TM7VRhl7/Fx59oqeDNX20IfiZawebf/Y6xZnhPUKZoFvplbm2EIGePZF0oAUnt1qSi2X0/YE5K/LVt9doBOlsF1RLQHVQr5suicdOcmOnxVTz1hZ0XB9elYkyvlqrcBJbDi0vuUydaDkMXhbcvIoOtsaU+yUl0RwXbhHfdnJ96QtcErHGhJMwUrhgVEpRwk1h0r3GErnPTk4/YLd7gKkhDWEdS1Cue7YuLc3uyyyq+fluKfLehS58ZHdzwbh+nhnFSuFydDLNJlGMBTsGTSio0TN7Z7ZSuBmiA34X1sgqtrKblduuYRts82+aoBXnP3yhuLwmC+wGZI3oyfye1t1N9B6Rqhl7gdWICdsE1GgUV8O21chd593BBQWo+hQepniJnxxMCgBLmvAtHGWG+HozxFnS77Wg4TMXWb4yj9I284axyjKjPKZ6muhjgJJY9aut0jjJ2SywTtRLp5hhfQKvNjdrv7cEEjQnDI3SJBiPQh/bKk922Un8kVfM6FWSERIpglNkEpB2FzaTTp0XzBxcgbFKRh1RlZ1X0yEDcr70ItcwQLjHezUq2qZh63TI79AC3Cc4E4J8kqsdhEePVQgHrtJeJtpP4QsihLUfrnzSp+Q3VixhSOueDPUIP7R3bSm9GY5u562cI6+K8FTujhdy1x7Trm668AySZQLuR7TQUb3dHRBSPQzb3i9CV7K6KZ2aaiahBvetCQesHBSRIB5BZriESWqH4yC+DuNYw+I69y4C+bETVltJB3SBhl2vPNzRHMbPnWT9zy90O+jtk1d5Eir+mhZX8JacsxAG+bro5HBw1Ny+G+m0ba7sYGpfppFzXQuzSrcdWGXFgbGmv1osEaEpX1MAreg+gjyTLQRfnueLyH7ia26D14mv9gImPppRdngKBOf9ltgxaYPrjlQIPBXEL6ZLZY4o8y6e6pqcnLzAJMVKpJ4qU9n6O3SWkFQkUhxspoO34994lUID5wlI1vG5e3uXDFc6VKjjEhbaDaGCPMYL+swYRxEq+GrWIVIQ8oJzzGkaaKKQxp3L7uHSbI0HffuUIUP5lGEJ3UZA6XkeIVDqid7Flt/XRehGwTCaLiZFq9S6FgGk3L9SwbQOXwlHJuuIPqtD1YsJ9Fwrran3GOHIbb++mbA6MpGSRvssDX2M+niEiZ4k4YCCw5rRpNR6p3Qv+9VWC5HmxH2DDTC/MUNJxBglzAdS1seph94OkPUTIrT80TkLMBuSXOnKa1gn5QRKbsA6n3BLvl86b5+gkaRskTIkNJTXs6fHEouK3A7Yn0jV4ynrXJqDDFaKW6zPXnLhDIgZ4l71gyIf9dCzJU8TQy4GF4SXdJJF7tF+s2TWshd+vrbilFZzmcllbbn2aK+HE+/5Gq6omm6BVIdnW5Xfx7VeEoXy5gJ3lA8NdjunVd/FIDJa/I4GaMCuWNLaFzwYh5onJzQ78J2sM02CZLh8LNSfPN1XkGmagd+19irEXdX3h0+N64RKlX9MwH0OZUy5E+LkRNCu0DOk6+hI+uyPYdsR1eoZe/6vJOl76MtQOMEDYvwDGmIE+SdI1EKrItAav3H+RqcUX7SYIuNot3uGoykx8MdkVYBTP/9s0xVBnWGNlDWxAMzGxrOjr0YtcQlGXKzdoEK8qYUF3YbMFmnGCqwy+vOiGq1JOS4im6dtifapa+/UAOqyt26CtShOt6x7OnIMSQdUhfMpA0he+4W91troGdsebshYf/WITR0r4HIh84Cclo1/xijKykcJEsUFs94kAqkiKoJO5LRbJUzmVi4tghdEovDrNgqc1aTYhVPBXimDFhWX+w6dky9/zto9NxYOruurYksM/pc7N7JW6524El2uzm5Ktyk3KcDGPAs26L66Jkp0n7uWtDHRqZIH7gUB4f4skZxfJTsbCBI7XFyYkex28n4erMFaQbdVesXsaCDols2WYnV8B1VpHSb1MHJLBUahqSoY4cwLNd2DCJkBEljHi32tYJK7o3z3ad+EA4z7T1pAojPdDbLG/L+zsh2MUoXvUchJ3W+620GU+uULs5zG0QieVkqvqxvhOpUuHQ81bK/sa8HDUEMlUKmBzKx2Pi6e7Zm8PBPhPoVe5cz1tsR6rDtlN8Fk1cJHKUr0CwHxDe/DlhZYV3ydFs3Vr7xWWIdqqCSVaCassgSThOL4ZTbmoscj6yJRWhHPNFpP21oO1GAwCqo0em0Z+xm6Au6c7l7nb+QAouHzGcOzH2/q4pjF5jjldr9NoDhJ8DuAchiHvFl5FEJvjgWBzrynmTrfDaAu4KL0qJv1qH/ODd1XDLkU6/iK2/utEdwJSPQTGBMhJ8KcxR8lpbIm9J2o9GwCtRGhmdnttA4coHPECqpvhWOqP5WNImNPT2spRrXeU0wEWOfLD+YIPEjw+dIyCAF1vLehKQCsGLG2SmYW1MA9pE2JIBNyrVriu5m4K2n3oHxfY72ZjcSEsYHaUGed/QOoD33sqQLpB/p02XHRO0vO+rb6OsZYAZEpAz3uyMaNAISoI0zcIKkxbSTbOWy6GczmRCSdDkE87R3RU00lTRZy7bSBUvCnS6JLlIymCWZ3bP0DKYfODSvWw8DgocS2Tq54UrD2ibabksBQF65gC8m/0ZRGUHLr97q9DqYwMUoPtPy8l296TjBPSaTQwQ0A/MWnxLi+8jxpI2N6HBjQpy2jNKQQWT2pCsDO3wTirXlcJkU9Bh9H2+RcKJC8IF3f142bW8kNRqiNqLqqs7TNPDcO6TEYsXR4itm545YK2usLh7DnmIGFyI5bkeF0Jta19zR+iCKXdwxNxqna8K9UoOo2dJUjD2KrasuLaQ+mqHYd98qdqE6H/aDIs9y1I+JhZEHfP/fJ8Pp7LNWbc2MQollJG+qbPqkeN1VRLVrrj6D/QzOLsLmn5gX68kdtCOcA75+rqImIqTFLWbFVGhLIt/oyxyhrHPAZlV2pvFcPUP2J4XX2qYS7BzN+kW6eqwi90MIQ5i8jEL5woqymHvJ1fjYTYilCx4sS3I3O4N/FoYSR5a7bHV2evJc3oCtSVne5qbHdqjfXs0NJeG7YE6tZHYuNoxCs+7Tt6EVD6LcuYfd2Thvd6N/ChY5lEj8UvTi3Y5Izd1k9RlVho7SAvOMgoQHGbdev2A+640XRG4eoO9s54vnPJDGkmfefz+NPg1iBkY86IdTdjwp2feaLmksosEAHC06adk0pmzzTWIe/ljDo2Y0sNo0/Z3LftpE3SX4uq6T/IkAGf/84oq1wb522fT+e0eU57OTjXt2UzMHqDqGJ5SB4bdFQBojHk7Bxby7l7Uofowc5DDInOWS3bvu51I05aQ9tOb3h19ih6KH0XGyaUFW43N5WJ/sioS8KqdJ1le9O1zHmfhYOL2DFHHFGropS3JafgGS84sbWuymE2UKK8ADWkwcFMOgR8h6tPj5d8wXWFHk80kLSXaLRrNejIM8Xf+BxIiU6voS46A83Xme3bCPJpZXww4B9tEvXQ0lbUt1odO8GEqG+s2UkEzMDaAjSKyTpXJ2dPl8dgpGhn4YEYczvLfGAL1IUvSm1fW51gMs8zTVRkLCYIf4V7QTM9AYHNvxU/k8L4dUvCIlG9/8zUTQrStQYOU+opRO2FkY77LiSM4xNnJwkEoUSTgGUHY8yWJc8A5nsCB7gVlb6Enq3/XETR2rp9Lb8bnp3aAGxK/Hls0AM7DqihoyAXLucD8KrbFT9J9YKe2CxENy0ws1IMfQ1rH7MsWSdkZJ4pW7L199j8E2ZxjVH4xpmrznSFFYmK0g15jb4TlzquwgVfESsaDETg4TC/++O78a+e386ybfJDFEYowNmzMJm5hawjMJFuaKTTi4Sk/w47Hqy5do7t7J3BjxdWfD/dT6yKoSvWHmM6eBXcMgaFoHnvKb8/iulsRQDcrCBWUWpHkJN0fW3odde9UfPDwRz8nKc5fE2jNS7m0iVcjugM+24iTAfFDeMdX5tbP4CbbqDHXsz7CvHoxY5A9bFHaLSi8ePiluaSMoUYRYQvO594GfjnSVINiXtkZFoZRSREmzMpxeo1P/cAmJsMyLsnyHfn7slKXjo1wbS+VWpo13dVQ5LEqfqUkro1K8f/hc7posvIavU+hA/rzS7mLcUGtjYs8bB0M80vrY0CA/JfxPsluEkzVHBKkc83Y3A2wo8IigzegKUCHNONlIQ914MTJtwop6NhWS3NVILkgyEGegBTnJ3NCcgykbx9s00td88ng3DQmPR3s/hSZ0k5++TSdPX03tPvi/qi3rJ0DtbhAMCT0YKZBTaH997MgWB+IIHhle0wzz6XUPq/Uho1U6rnt7ug/dkRZ0oQQY0NS9t9w4ysjgryLSheHsmyXkO2zjq2yzj8GjeibW/Y0lSzJnfi7i0hKWrI2oKiQeYtuV/LpVBdqatCmx1st1RYZ1R/BIofVeiekiHHnppdDzXq9beqy1lPgs20qXhL2blLYHwxVY/CMpMq7aA+WtLBZZaDZ1Kj7o7sj6EO7OWOTUIVvH6Rhh47yGkzOyD3Oj45XHAe+8Xwkp8PfuUwFxStUXP1HaNDZbiYSQ2kvFetK4hkSCmJ0M5fKrXz5+N7+lbh5/3k2GotjT5yUB3cy3fTNL0ZVloQZm6mJ9+sus8l2aG3ZxXw0AXYBI8dChxxo2DyZk17URq+x9r2eQaGTNZ/7QLj3gD0qnD3YqhZfVVg2vuBjaZYZ4QcBYCY6oXT4F0hNBrkcnCO/z7/TLlyOce5eCBn3hGj7pgt45hqygDdWA3x91XMi4IJs/ytYztiwCOzrF4coFmnCLPNIOf8pG8qDl3T9xXn5/3PkG44ycY0LlF6wTv00jxJxyID/EHBuOTb6dGplC/vPmgQMX15JXo3t4VY/RRXdqzF2k3rdp9fD84jROzDGRdeQZ5zwP7xSXFfr9uEk9QzjOAT+NIfbDDpt4AG9V+lb//E1rysZxjmbO1DX5C7KMe+s5cmDiVUYv53ZIHb0rde17lnv27GugfccUgaOAgpfjHs0XYF6BDTPKK3udxWvb8ZPdcPre6wqr4RGlMFzv9ru6RR9qyB1yAgbsBvkyKuKI+LdlOaQPiyUW6gqp9bPjegdJu0ncbZCJWFS216phRCNX1i2nqHa9bzGT0HnMmPkK/Yhiu/0UJjIb8eTxxZkc2P2Uks2rZCoWSUu/wcvLkdTYemFY6ptqaccMfmynXlaoWs3wpsT/1CCm/UuZXqSUOtkrtXsQyuiBCjpU8xc73INip/GNRt8+8Hrh2b6M+IpHCe2eGRoOB6AjKKUYn7UuTLsX5rBPzrEgceOquuPZRqSCGWRfnJUq9iDR05lTqqSPFhdnA6iFyufa1aTDhrDnHx++DDpo+SBdqtdUpZBwxn3qPT+jKSK4Q5ItzbWGexDFchJ8fKp5fqUm08guTol8CJ8HlliC6WILfs6835bRQoiZC0dBJYltzVjXIUrQr747l7B/1Lgv6ZTCCJ6xlYOXYVScYzX9Xq1IWY26OxXGJqIRu6hcUSSR3GaK/2sJi0hrJ8RLT3KZrgsj5fVY6rKAVlP5BGGKLDWmWJ2VtqYxOhytuWgbt1SHNypbnXWLCykDnYIGOnRH74IshUNOXTS38bAKTENC9oNiWd/aFvvo06bIgsPk38YBxfZWgWByBmlkOB017DAsKtvjpNV5B6OTxHm9Fei8pS7FhRk0Ezn2SYNQGJxNQXGGH5yvUZQFn4KwR+rgZZyB5Mghhb78rxFhy8Ai2ZVP/Dp2ABJs+CsD8BXoEWFSNXXw5ei5ZA6YbnNidu4ihOXtosSpweICGvXSSvamPoHTUAYSANc+5o33G16DB0N4QDcfV5zegC2b0r3a7mcxOyxZbM3YEGeEEOL+f9ZrtJKv6xG2uV9p9Ip2fNU3mFeo5b3nTAySH7AaCi1HaPueH6F7d+kJjPSDE7TgTBj+3L9/YyhE97CveUIjRxjIVxUihAdYK5IKN17j6QE/nOJvstmsAu7UvonEU7k3JGH+L4YHDNfpm643HaqFm8g0pXbXwFscCPiyHx8aRS91927Omwswfsp4tiUjitkrHSXywsJTCV2QLx2CtGM28d625c2RIVBbzhC78sJvgQu+eVEr0qXZayw6e09hZeQ8Q6q+ix2kmgk9RX4jYNEnmWzaQ6egUddPMPcqf8BuAsD5yAYkCYYlBeZcAb1tRTlKlWZ8ek4BcB6SCy9lksTOyVaUCUQ6jSFRKJb1BYE1XLImb1KvWE7jegunNB3WJtC5rxfkoIAg/AxktQSZ2uRD3BAOC556AOGw/Eo2PeidjGBSznMN5BMOh5KGIzCi6gg14vWWrlNCHX85c8tiUAA9kjHrRUCa2rLCxcNCUkiUwM3Od0ex4xf8xOTDzJt9paEsE0KQgRQ9bZYFv5+Ua45InCQd+aWzRF+dID5MEDc3cQm++91YLEMBe0/bLeeQgY+UPE05z30z68BVTkWNHkN1yt3tGaN2+gSoZjf1vrFl+P0N0dq9dU/Z553x33TnodQbEgUebOySB0jKMxB/YZ/m0e9e8S85/Aetm73zoCXykqi96bu+Dwt9HyNazkdlrR4v2629JilLEYjYGEuQBTh9CVJoE7MGJjuVmtLxKl8BksYDYtSBwCmP0wcfU1cK0vs4JWSJLdsCqIhfEtR1h3vM5chv7qvHZoRU+p5dUeyGO6Nc6p5RGd169ltQc+8At/66OJu4QXzIkhnchGZQQshz/s4QUJwqM+FufdFHzXT/mcWNr0UNnJDxZwRJ8SdO3vHGcMj7+8xBL3AGefWddR5stwTSNIotbfiFlcD7/uMKkpvD6Sm7NtnprFcv1xcTT7epPobMJU4/ZYQu6+F6rVS3Kg9XEbe1dRKJsaisLigmraaHBkRbrjPBmBXu7cJdpOnNEzi/mEAd32e40ydEdYR4JXIq2rx/N9D28qnnsLOCSyFEJfTJYoFSs0gtqyROtHwlL88a7cmmjlgtSucvhfbk/Kpko7g/MS+pzjVNiqvkhB0j15rZ9ZBe3BsstzkbcRxndyA13ftEnz4dZfFgmvTkmJozGi/lNcRq95Oq4/ivQ8k2jBHHq5eUro1PbbRRrifNmWMdx12YziqCvfPz4yIHH9fSVZ4w+ELj0ZVmHciGl0hex9HcXO6TSNz7+4AporEoBjv8sRyZV/D02qors5odUcJ2qyi68ScPMNG5OnWpEvrb2tf5oQVcXc8pEVYr0NbKxsVrKVtObt2o0CRG7xwVm4TuZ5yLvsDDK6eJHIDTbQQwG8zjod4PuC55c5nJwWz9ZlE+8BxvcH/+qEKGhHJ1cYZaMg9TeXnssNJLjzGD90s9l0VNYtqCGA2rmutk18QhGvCiTSkZKPLbZUtbQEbN9aYOqv40EqjAY2svw66G08EvAj6bB1mqe97QNzHzN7ILl1E2w15sMRPFNX5rLA5jbNBqi3KDGRizQRHnSbLZMKk7ipohzqIkOgDDRO1emTWLFT8yYlK+RzP1EhKa+zJYZtlC0NOX2u54jqkZP2evtnMebAJHqtbGKIsmRsgvy8Y4u0B8xuM1T5SX2oELXK54RndGei8poa1h8zzv2ZjaOU0EaZurZP3+mgHxbRNeOAQGiibUlMgRI/tB9upS2jZLCedP9YqtiPHMixL2BUpsnMs+SAc7+1lkB+8trxJ6pulXSSnKMWsqwPIqg8ptO/AckoS3LMePefHa7q8MpMs12AjxoF/76PILB5yhJhWphlyQr76KAUbMIUfk2M/AeKt/RoSkZ1brAdCCcecnPRatL5XEUjHq6zg13ZCjqgrWgtWHuRuXS1+Bzddu8O5dAkqASg+DkTJ0bxCDR6u40dWkzhIuqJZoWSxT78L9VMHFaVKI5WLNGy/aPX0mv7jucmTzTNgwweFGP1FGc1VoQ6l65ZW8EOoP+lTw+xidVL68+L8dgW36b2gux2a+4Ayx5AiJ3fBjoPLB7/Xh0On9rGczjPYnxgd9qwKPJzGicRBwxfC8UZtczvJckWtPuStVk/0poX92RGyRIWbpz+2iFgJJgtzZw0ofi7UVtm5wZFzC7fI6sdOzrLFHmEyrG1MlQDL4Pn15if58QxZYw8RnBjOQBPIwUJXRuepVdEhuwV/Pou/LUtaXxH/clesoeRtJdHzg3h1cBkfaPLjzb3oWbz6Mx0et2wwxU9CZgWPcCWdOjBrT9G2IQNqa3/swdV/iusQD6NNKbbwFY4TZJGxMAGpYDCtkmwfwoOQlo49yyupvcM3uD71Ezj7gDnoQtUt6wg2AjZ/kn5897rQ10GaTtS9PhuX10UIJfkE1BUcVCjfgDoaMYO0RFLCicflHcZV4bNwyE4jSDS13ZpXyWwhJVQlZCNCLrdZmKutawydKBw9cgXRUDbMRC22Y3Z9IqbpNOsMUjnBdujULX+mJyEk7oaI2LTUZUOCyVWqqhpGiMLUXg33L+p+XFJ4mZWQ67FBG7Dkbg96OXGRcecUWR10P/jRYiV0NZiBNggppXV/lquorr/DLsZjAuVqELSLekh8OTKGeETY9uFoMgZRjd5ye2YiuDjKgnUwDijX2P+0XPg3ZFrHihPooaH8KgYdYCbmRhHJQAD8hXt4GkrY6fQrVIZ+4ur+dKFPLU6rOdGp6IIwz9T5n6zRdaMLscKq2xsE8/rrPvUkMuproNs0T8u4n3LSiU7IIhlH902vL4sjtchj7/e0z1JT95fz88GiQ3YH0Irtmef6CLt0hZ//u0TmS/C3DF/ImsOezCrNIut0qJkf9EjR2lkb6fG+PdfQZJpd9Dt1twlG/dvCIpAcYOcphM+tQACJygndBOKKcw6bxErJ6G7PzPZvHskGocKJGst2WvctJRjZtFL4J9Go+LgJ8lu6d2d9mv3fzqg1pZRG9z5uRN44rYXxwVEW4u5fYyPu6R59YTmaQfVLF1+yClfF4mz5XoNU92Z5qGSL+1TyJjs1wKpovkpHdOu082USU1tW5bOGMgKXBLwSr9GkMgd33ngqNhNCsa4NDefKdWjZFDsY6jTuRE1cU0+xIG2FG9nHWUOjIb6c7JvvmsFag371WjHxDHa5UkUSCY3cceumzvFqjmgdewFBU56hymvENbPpA8tYZD/SmtzfzMnFM8WIU4mmU16QWtFJaVwPFuhJGNAvJCfskWHOa0SdYPPn0A0unyE3EW3/iGQgUCnNfFFL7/1y3tHfPx3DZd0U1Fx7lVm2Hm169OQ7o9GWffd+mivxrOCa5HWULwQaTs9i86v0KpFzbabpfFF//FUXalVgiwB4K57GGnOCe/OZpzghWSUHTdgZ5Zscu9DexIjvIgwEGU5B7VPpiAx0Zb/2ECB404sGa07sEOqF/ogHSu4lYe+sYEWNsUQoLZrwf5ZcMI8WHZGSpXcUE1Auak6s5Rs35gZAAppVti5zi2Q0sZJsM6ziSo/2Udt6Fy8YS8diM/WhQa2qWNprVCNflEY33HjFWY/hLEbROG5HhSy2x8/wM9E0G8qtPK13JBefB7Y1byPRc1KMngvb1qwdLXfd9SBt2qPpQOL2tm3qBYzKZZDeH3T43ibAhhSF0kagQUal+Z2/GzdKNNj6w6i2jXNci0TVCz3ZdRbWKZpREvkAzF95syff6OwJr7UjsshmCudqYjcl3gzf4ltuXy16alzeCXZgFAHfQ2jKweE5x5yl2fsNXsleLbZWAI8JOhuReoa8sicKQsmVaOIc/anB7X2/MBQykJfVU2Um5UPNb7rZRKtD/P3ZPLwS8dfK+xHWGtQRJkLynF0Lm4kHeQvEnyCXDQqgInr9s07hqfh/H7QNnClvhvlz0sizZ30pXn1lzUka9ebKHVMER1/i0tLvxClP7Z23KlSMeO4ldLjbOnyneRfw0uNpPcCu3aX7k87zrd8ZHDm34NCPEk7cOG/je4R2R37aC3/GQQIj8cn9eelXQ6xUqqWj/jeY8XINJxSyOPGYVS55PkjNbbsi+ZkETOYZeJ4neQZe2Fyq/G5t+l39loRIZv3s2HRaekw3B5zTDcRIoByEVu9maJENVPgfdyhybqwIUbumBgzov206GVFs1g081kEFaw4aMtvsSmMuRj7OvLPqy3HEpIBJH8GkAuQwgc3OKm+23uoTWO8KIGJslVmDgzhI0Nued8UWM28kZbTAgROdym6yYg2ODB5hlfjLe2llYuRjlJNTxsKW3azJGP6czG88QuHGkvFUFiI8gM+nlkomhCzUHmxkYEIIPVY75NgEVcDdORL/ka8DrnKY5+qv3CL+7kdvHLbs5xdNthdeue2+qQ4nYtfxcSAkfm7D1tg/aSZUzcVpxTkt57fOjgZef3fTiDgQ5FuwrG/zVVWVwaNLLRO3ID3hGuSQaXVsj1g350jJfLiSSqLCul0g5Q694WXk8OfPVdWcYZnCxnXl67WLhtCa/0CLNnn89k8T0NC3KbitYInpplJusql7ejGa2AjGqyRNsLMJBJI2q7nhbIo2EGQxIDt4iTB3Ltn3ZzTHhTefzi1W6yjNmoAxmTeSYVc8GRyrmpamQ1RiNAEyveh1agaocUBIr4RRxRnYQGC89agiBvQzY0u98S0XjNvaDnL6iYKjIKYuRAZgBbPHAM/btdRFl2XjcNyOFSoioypYeloPkzRriYMFcCm+ncRmXHVflJLBe/gnnyk3QGdeQaY44L4tuv2Cb5uKuXtoj/bQXni3C3yB6QNpnXKpH3WueY+4poCbPSE+N1sYajo1lCnwnKPJ7+mwn5UKMh0bwV8/j41Mc9Mm51t/C/NX+OzAdpw227MQa31A98JwTcm6ZehXZvFJU+8EYZn3kNjG+QYxbV+9kXT8n1NyXpDlkbwdSovvLW3O3dzsiLOKgGHfe2huCO/ymAjleZxmmT5TRjWEVYxO1tqbF1hdbzuAOMqxgU9i7OTaUpQgmayRgMpaLrqq/5ICjQ/lIyMpQtPWqsjIWEI1BKoRPMdlrb1bP0X3UDWcyuIrbDAmTtWkGcoZdAymYcdtolSJsmRaKuyT6lcKLyk0pHaM1nEmKEO6KT0pS72uAGDX29HriLZcXbCJ1zIETLNibwBIuL/rAY8pQI7nRMw+pWtkPf5uKkEOtOJp+zOh0juBgF6OkGcs850RkO8HnPm3JaYgDRfasfZTF2mWoOR8zyqZK+hQbpxIyzbVOzfE7k0KTuGhC6ozw2UWH51Tv8vwaxOEb1piix5Hq9fUCiFE+zfk3zY8SVOYirHY4WzcTUVoe2RYLxUcu7LAvUJQetj1qcQjbk5NIqCPeunHWnqwyN7gRKCfNGUIvcEMAWjeSFIeMuN95OO61itdQLEzyxwLNV76ewo5Ipk9q+N565bRyamFr40IEU0iUOSSLl8tIAEjZ/nWpyGm8NMan3PflfnA65ou0BTittECvm4pepwoM1hliA89WICbhFmCAjdMX61hcwG5UXtlsQXczez1eWyNmbRvhQDqNDV/N+yrH2sX8BY0AMW7T0bhkiq3mv/A+05t7buNmPL8vi27ltS8ql0t9yYpu5JoAHcNpyvKbkMBQs/1bTrQzIz7Coc/vPthf0vsPdt9tzbctllTm0OEGiZWGFnZYD6QCMKjQ3Z0cB6tl4wlUgrSZ94TkFKtvcQ2HZ4T4Ts0TpjKqUpkSSZmUmnuoSpX79GdBLb2rFroQM2Vs+qKcPq2+gETD6pBV87q5zbpfyMOb5QQ9cSKOYmp86c5uihrTZJQ3R7fOniwNGYo41/w8Bg0vPJF3JBb3MGIzK3E3cbOEjlaWEp5fMYURZkl973ezW2wME/d4whhFVQ/hZsyMkdAY2YJNwSDp6oNnTI4gv53/xAoxd63vUvYp0gqgmIKEnH6J3LmQjd9oNZyq0/Zy3CTCqns5a+wtfzHMSHHT/jeOG7/CI8uaGF4RhG9mn4r8KNvyP78kKYT5JRVnTRp5thIVDonnFHos4PeIXqxWXu7zupM16TuJa8UKTQChoMGU7znyqSjwHcpgFxLTWCuyUUxv2B7HdOD8kh3SZwi/NuBoFe5uNpc/4mb81sGGYR59cGQOJsKcB7MdEiRRw6aOXS2cVKwjuWfBYkW6XZ/wqat5xP6m0mnUwmJzkxWgpCvLwlMgpcw217C1HpueQbaKFVLU2RntiQoQxMm1ySUmse3UKHsvyBycyyNQMUCyDEuAyTq5f3G7pDMBD/Oha4iC+jJdnsdRl/7kt01DHgYG1ynMlOlmyNwmuMNneyBLg9+Y1rZR570eR9iwW7lDbclfDZ3Al6wiGTpZKYpkw5OTyyu6nSWNOldCMqtHs7Zbq7rZh9OjYmBIyMkhi/zEwx45PjwYLZEKOlIRkpw+EH1f+oS871EihkQzyAks6NgOZwgaXVZFSwFYscloQuOw1h5qeRlEsenuMZb+9PUfENft/tCLtOMfoyen9z/fzl48nNJ5WOfnaRs+XpW5yZ+Dr3NKqsDd05x+ZWWama+35hxArB4I96Q37dnvLqjedj5BrmNQrLTPCt0B6Y9NEWlyN4Rgdj17vmJyDrYPy8CA54AdvrI1QHVsJSWS+Akxu4nTCXtQfJvNTcib9zdtW0+c/wmyB0pcjpvTbq4wh3qX4Pp4oyFDqVjnHqTd2BOC9+KBHEs4ds308Aszygdz4WRNO4STDgviJJ2Wy3Daso5lOcnqOJONDYVHZ+uFJXgLVZ9dvelyoUQg4KdGFFwJAVCAWSHqE3yMFPqfv0xFPmIvEn635d1637YzaSydoyDhZ22cAI8chfGRNjQDXO8PnZZsdpCDyqZrtaLNsPApOuTyzTlg0vBK38WivxzUhpg0FcSeI3Dn4E8cLf5ibJ6+2KPqXXSNIXwd/5gBJvbCN6N3pWOgN3XhyYJjsQNLzNZx7vEUGtcdZUeFxY6vWb9Gmo2ggOIiPfoWIttAOa7YzDqlNkUafzA81AD1CvFQ/UdhC3mZLq+Djq3jExkiz1GCxo66t02z8ZMCEWe0vUcWOrR3nviivtt7xG+nVM74ruynTh/8KSHnL8JdjtCX9KIodgFKmn11JIGdBaxtlNgxtRTGnPetuWdRXpQjZfORX9p1G34cVPkg4I83m9gT4pManWoKWGNphniMEbHDRXkodg4eA8EGmjXe7UEnuBbNZDouDldvarOQ18NFp5LyYvXl4bY9oZF77xikh1shNEq8Z2pYW3PP3AtaoLXCl8Q0vbDs9kRlc/Jf1bsBqfaXMgvBVBqp9IHSF2uFYSaOmbVe/Pr4KeeAI5CtM6HRfvYqdcDSdKZcvJGXghpghrn8whW7k0R+PYcc+5JGDQ2TgwObvS1Jnn/snBcUq130gU7Lc3z6k33N2yGZ4XVdZXsLUIIcBZk+OkQ5GwcSMid1NGDXRdo3sE3QqzODWA48px4lfyXcgUGPsqeG+qiOkXBaTNHlSD1ufdjeQgHcNTjneD30NXr4msP08piUmCeJvc90Y9D8rjb33gnOjnU92LHE0/J20MXuYjfPyQdlLItrDolMj1H+qI7a3GHHSryK3oHpGjGV8ZnXmD5NVx2WvfevGIMBazr9FVsRsj1R+RtTnndKddr9GdHhZ6SXmjxTrOJb6bON05aA4QpaP2bQNb0puTKGsPoa2ZS+9M8Y/Z6dvJLiqut4dfAbMVICmDHEBmLzLjc/LpzbExP2wm6njBBO2kpxiz0eZ/bauOeNJBG5IXXiJVAdjujCFmJOYS1DmqYGdJI4PIaW+v7ZG/ae8pz7a3P7aEI5PY/DKaou8gw7STSyRhy3NXKXH/jMwOhihs43JgOHeNauN08vxn8HBcfVDNMgb2YawIEFbLZmqOjNKxuti8yFCizTNVO006OvVrxbSeM+TUM4me5qN0dd0pSOYuzBq36Hm62xkuPfdzqBecERVyYcemzSJ43RnlUApLWd4dg2mdep9mb13CAhAU0y90PzByxdyKo+nS/LhHdmtHqaRHTgQV/GFG7Bsaptb+LlZSF9cYMvpICGs2spdkzCBudv51FkJuxiFG+hhYYamsIhX+MCA2boTZKxVpnhF54Nk7VRVsAK3HcGGGbhrkfGm9SKth5KIsoPM0k2RUKKbZM/uwozaAqLACXOWiIBmLeYwH7luIbB6SWc46Jh1r7mGnF2tAgStiYkh95ntBpInRp+kByR95aUN8DNGeiWY7Gefve56M5Jld6OftrCly9W9yARXQGSUHKak12ODzoBuVHl/pchLJsq0PmiYO1g0eW1EAEU9Ba+GGluemloOi6HDp5uWROIkNC1ZOOUZMdr4SmBGTqkbwiXBwUW2TPM3NF5DhUweJ3yF0v40KDgoM0XnxgffDI5sdboLB8YgpJilFH5NwWXSrZecVY2zTpQcNHIoJzkpSeB99zom3Y+xRzbeIW+V+obocq6sxoAkuIHsYMWqXu4Ueh7U51FlUjdRvSXhWml4xILupyazzlVdWK0blNusC7sFJtbpi+tl09tI3/s8rsvb8/PRDvBAi2gRMoxdceNmMiGX4RRh4L6LlmyPGeMj52T45S30Egyo5YLuUw8nBCWoSOzKztGiCXpaQVmG6XYGCmZuKAvEsUmcRk+dd0HcUF+3vg+9Ri3bzntW74mrbMhckiHesGetsPN3xzaImKYC3KOQVMOn2MHl/psKZ3Kqn18P2Ol7hWeXzeKKxTBE/svwh2vLxNR6lYfPL8CFkEJlNfLi1PaKMLcpVpH4ax3jk+N4+SEfyLICvGSYFzfZo86GPr+QX4QhCrkHjGjZGOZYw+RS1odiuFxU8IkSeCK4sBSzyf7RCJlF2iOdc5BYwme3bSssQuXYZHG7XK2VhzZkFmsuYAXAXn5fEVroII4KxZA5/gsDOV6sLufPriMHp6hIkLcuFGnr+LU43NF/KbKXjtV1/dwgSLV9Bpt9u8YFwXu6xzoBfFpC4RZI9ClUuIvIrn060Prg9I8KjYrAzJ/0olRinG3A2t1CBJ7fzEGz/S4Kq9uXJaWSBpTIFVXVHGySKGPmCEpvfCkq4TDVQW7NtlX2sBlFQR9GupW04i1vKGi6OmxB7/q31OwXJNxJap+3bpQJWhcrVcfy3dqnQQkycKnOBvY2hJLqRegG8vJu5bh2XT9UfOekRaMHtn4idHHd+p1atiMsIAhxdksoWIoe9KZSPo0EyMiVTXYrlwCl+36WnXZevhdmYiLO98NPmcJh8ISoaPBDw5BoZ28As4aWDBJXUaIDu8sesOvzmoHs9MWiGAtcyz/6siR4yJFUVrA58XtG1s38yc96g59QGhO4x7Q4N9mp3BcbfwinO23zhiz9uprsPuYjfITPSHrhnUYcWUM6mJunAuQlVhCeV+cUr+oSxbT9Mxek1hE/SW5ykLMSiKXZvk9tLjyiyH2RH55i4lkSvMEeYjOkcbKrgs0FcdCusAge93hpqs5uCJLiN8V6P3qa6VkgHCG2onkdpAZ5aL20n3DuyhtBvOU2apKp9n1fd6P/GQ8XzHPuyWB5t1spZtXmiWER3J8+VUVuCfFPU3mOE+i0sXAacceooT2cLI678tw5aUev1iGkENSLwAbVTDwoveH03fiPL3EtZ6o/dvOZLaElnkvM5lWlPUCPe+8eblwA7nApQqdIPekIgT0nNSB23234Fu3bpWOl36aXiL0KxC7Q0WmaOK/DYh/MiAQpE9sLEY8lxz3ZDBdDzWhdKq3QnRcO3nuwDE3Re+tyblVNWBCmBCDj7eskXNJ4eXACdlibFKKJRPRYkFpVpZ5xXZ9M3ZtIusN2K1N8gMD+qBfJ3zkUG4F7esPigRUYbaWfBJwrpERVWzBRblJ98Vdm+VOcfLL4SahUv8i7dtZelfJUnZ82lh03sS2rA+eT35EfyX1ahHiPDeU2FtRVNsk3H7UD0HEqzi7qhnlSldEKUhkrd7JuDeYbs8hulnZmCllbNwp3UgceQJYS57puaEVLCJrtAzZ5HbOwMFxS9dRPmjnGDRjXPv+SHouiadWaWxGoiwaz1GyN5tYWkeVO8DMhZPcZKSAU24jt+ZmtBzlWCKTEs8LYDOtWKTyRXYTqrg8duYDKsu53yr2U5J0R7paG0V+eQDPuyaiHjeKJZdRbsaFZUc7GRBKbhNVcF1JurTMDUY50kgDvtwdfjS2KVHoP/vwucZPkOz/SFDnIHd0CbXPgr6gx7LFklC7ojmIiITwxAV6MAJ2D9dfzS+cnxxrro4vkn6s9D0p6UAheIrp5Tvf/sD6advV5IDPDCIl8VazEGUr2ZIMQb2PMr/o7krYGTQeTvtyZLfHXI67kEHkJxCShWB8hWdCgf/O8BGlDR1aNwd+gjRz3ej00C6JLYmlDYvpdMhikMTrLvm9wtivmCIjHORZn2j1cN5NJ2QzkLzgZJxfHEzwYmdPiD/JIu9ZwxwZildINwz5jWZy2IyF4XWR/4kZZgZmJOnNzSX2UXqfBv2BuGC2qerJkqjefJmB87nf85k/9RxNTMoqPWMSzAHHKwcqPwT75UgRmuHzzjrGcvnZGG4EVMFofoYMgIqYNRw667xP5z15meOzmPooWRcjGRop4r3BlC6/LQu+xpN3dCHxERMA5MCLkcPJbaqs75lppIpo2hCO8PMSR7Esm0RWOVMkSSlmJV6WbATZfWt2JgiJ7VYMBhK9yeo7OXRJGMrHfeknnS2C1tBLbDedE9LPKkIddg4bumMgoizWNzwbigTZ5MrsbT021MjhYJPY0gqEKDOfCih/cJSbvU/4KAvmAkVTU2BClZ8zVDzRFNfL2XL1oa+q3zZLeFyKzDZH7P4zrzKrw5RRAhHZthwbdLmgBH+9URMZwW3FKtZ1P7MZde8TylPiMZd0JJJVVlbtSdFTuQM+DZdoWG6JpEoo6PWUJjmU4klP80KJyfpEzu2nr0xbZtSWtUJy8jNLd3G5VaspACReYS4WAR6I3SVx4Bn26nA23XG1nkCHaSyRaRdv5va5MbSyh90w+yqru1uIohHe+KXeTaLK25YgR1+LBlS5EJ0LZYY7CcVu6ox83jnUGpVYdKwTwBVjN8ZJawmehi2ZDbXXkeNKfGFH3rlqeAbjDJPNIEd+U8/uHje9fcSnrjYyIDyL1UwN9G2mRxKHoiy/ZQ5ROudGMFxAWI5SuHeSk40YtouNYcy1vl/TsbzFrKbhQlrkM6pJpVrrGlSjwhVBYlOUG/O1zops8xY2KietPTVpkbdPMlvAeYEO1468BknnBGFti/9xyIbARpMjxrrK/zo2adkaGZYXN4f6fqxjUVRWPYa6kMNpPzS5ccNV415fIwU9JXl3IndSnDOk+KqDcT8IcbI/Svmfy7hUFiv2iWJMRaw7cbWi7IxdQbOdbuCxl4Lat1XfbwLTig764FCJvVSCNZRi8g5tpOQuSIjQBQpZ2qSBHHvG/9YP4jka6ppTSaJdKLRLdm6YcBCtsqI7RamHqCXFwu6HaAH5Ye/VcdxOSxfsukh2xvAFbhiM5JbZ8Q7oXYcO5o+ftWq1WqSXL1C8A8Xw+YuLtl1j+1GPZ33kqdvhkRutJn9pyu7nr2xBq3pqQiOOrZjagg1b1vmB2de5hv5gGcHB2bw9V9fkJj+fT2TiLGsaRrukQooL4rtgxdbmOTwrUxDGSqSTfwdu46nysRBrN4zXZFYryGy4PIZQw6E2zgni9wMVggk/oQLS381q05jq2oyOr1QMXcbS1zKqPJATWYI2DDPI1UgjMiRLto2Fo1mv3qNC5wbKxlLEjITpOulzAKvyRfORDgOx+8+6ctrRerrpddN3+Fz2P5QmJCinKV9Z9rUd85GlP9ExM+kmUIOZ2ucFLojQ1sa/rqAGaywe0IrfKnn7y3bYQtxOMad9WyZDxiy2oePFwjcCRe7hS5ihxWKLDSpY7wDn3pGAw07XjlH01cKLYkj1iXBNGyDHDhOv+7XXGXeHcjE0NtJ+PAa2LZo+rUmtItBmDWUqsue0E4gh3yWwimJsNUOhxnndTsq+9+PzsbxfoDHVk9EqiJtuyS/Jrg1xiu0sHw7tLUjw234LW2W4GN2NmFE+KV2X3ZwifEPq4IjURVr+KTrvF7xKeGL8ffPQrvHujm32EnXmsMedU3cn2bhJesogsw0j3btovanSdwT14SOMCzmTGU1NLGFnFkVHqc5RoQshs5xQSbIIb4jYpITSirUgWQ3DAljCxnqo1bn8/zt22nOlHzRYDhoC+WVIACGQ0PsBiCgHdJAdHecfPRXTSIacLuiCOBAwgq+wZwHqLhfqZRU/ppHBsC52Fne2zDygcRXBJpv9xGe3PWmhl6doMq5cotsjQrYaWC4/8uqQZr+3Q6CeXQ2r5mTprOssV2SNGOXFDLd1Cg/lg/YzDXaCqhnl2Z3yNhgYlPdeJB/nVfKOphzl2udjAbJxQv02VTNvR47QluQDaGQjwIuV6uIQIwHXxillmqeWx5JNAUVpqr7MJqE4XAMBj5XNK1JAqQHN2Lzxjo07puH8lBTBFoCwchnxXQQmFtyE4CgdjefQxE66wTQnFyOB7CGHXjyxOSNvXJJiMhHy9pEhlmtgJFNqfF9qHo7qYz3NFKMNMFvze4dm66GskADZa1X2tHyOz2+L/0J3QpIHxfn+j8GlHWqryQEZed81WOQ3si8WcDypnhGP7sghYr1hjn9wworQtSsrTcYnXwj4Tr1x2t7oby58HKBLexZXQXTNi01ORNuqI/v/nZgQD9mk4DaOTk4R3R0Wy+heYMM0JUs9jZTaq8FHWWoOs20DyGT0kCpCBTgnI+ansiK/gHfJpn26wwMZoFMHxarjd53/usOVPFD9lvOmyIgJ5wrpZT+FB+yM77zci/S25qHpX9oa5u5HPwW0yitR9g+5mlvQYWOfTIqckWLXz4cpFoFt+DuyNPy5Uu5hNwKW0m6ebjPhpg3DC6qadrvujPKh+pwurfHzL21h143S3Sc1NSLbGQP/w9Q7RUe5HBaSGwlCxVYRyo6pmuJPtTOa8TSB0z0c3dXlfloYKsJtwFBEjvM8RUhZCfBvbLYIa8QhFzKOEnIEqSB5kmCUjZKreVsTUqWTiDsev/lmCc+fTBFjk9pgCtCM8Ar9hzPwTpB7sONkEO55hvbDO99TTfMXYZL9vGwq3Mu833BmS0FNkxyeEtuaYYRISZ+VBPGL/OZVkyHStxuMml8BV+XcfRHr5vNhRi9VWG526K9ByPrxffKOUYRrItgMM3tTMrvNd+T0UbxnOVhmRzAICCiqMjxgnzB72NGBwnhYvTs8hvf0AoozJkA/vKjqDvSFzRJPOz+gAOK09G+0ZgslfI1irkn2Qead+g5jNmWr9bKFwd4OOIIYL2rqNiLzGduTgzyQCh3w6c1XOqFiW+OLF13An8DcHGu1H7HDzXaUseIxb4ywI0cKEablNxfIXLLpdYYwOEd02I0pA7nsboTIhYLi1zGRXaFOyPgeGiFvPF0pRKOeV4YNjwjulOY24EnsyMg3LCzylv6qbiKaZoHHTmA1XQqfPseGmUd5sX3TJ/cKsj76aZn5t0mvHIqmG1WYPIIJLo3tf2iE0p1bDoImj6ljuQ+AfpLxpz36UJALn8DRSOtzxPK5nCWGYOEaBATR7vjTOAvufH7B2TdQuO2ov9qTvY9IAwukhIkkhwq3GBM/Xvy+Xk2jZ3xNNT8qNn0JDORzeKSYt7xE5/zOJZh8jIcxf9xs55uZItbjazsRjOE2iIZCXdy1CMJqIS1rLeNaI2/U/rRz/7JbPUfU/Z9Iux8tinZHjs3tcXb2bjR+bAY7hGGy1N0XZ/fD7HRCBsQhZaR4+jkNbqDWofxTnWGpaG5OxGVGfYJ+ImFVLUjZcSdllzFROKMk8m+/+AJz1jJiA29GRxwVdFAKPPyCGcrRqn7izI9mp+zWfOT7AGSFbu4TOotjokz2ip1rqd88jVs4D102kqI/tVgjOuvazmhyAiEIrwCMaY25cLdA5juC3n7CX8DmsiCEe8C5lzlkR6+VWbIm51lrAt4sJ4L/trM8wF5piGF0aICxNPJaZ37T2BwuyzDSXWv1Qkg9LeKpzkdZvz+lXX7UNdzUN/sJ7nQccf7+0iW1T7yv9FTSVAfWecrZ0VcXap85Cr1PUHSI5S9pQjo6T8WpLKYb5E3MFCyxYQNwR3ETtoakLUuT7WIv4xQakrb0RQNMHUeFtP4h2em6DajmpaRTXNndZx1CpzveMeH9kvaZ0ipgjJkYmiuWNgPTP1N4ij/+mVe5srd3ODi0KEwvOv6CfMH4e08MWKJcS6xDYT/4jWKymVqy55iE3yziM8ZNYuqDdoCqFpXDbj2EOlF7H9jooLV3ch1clocnTy9niGpuR3Eeq9nSYQiquKQTMmFlw4y06+12sXIWdWeGXAwNjy3h7JAmjoK0dzptVt5kF+yzCR8sxXa+zQRe7I2zMJZFJP2MS5wpOtb8E2YH/AxUoBXI4nkbH/k2GvugLUI4o1wa/cxGyc9uJgpbgcZ0ZpED2oZnS7PGklIdUk0CpgbCMGYUFh+zZSwnzYPOCBPIMLt9n7gZ63UA6ehqDzuHJemSxIi0QcgvTuXo0lmFSlXvt2qaIgqfJ4w8KvHXjPl5sQb16RiH/ZyOzdqadARRB4dkcpvHghlbVRuDCqbp4L2h3P92SqPIoYHpg0gtT1iat6eOYZ1FfvWOtc6jPelyUVzU6XTBslkht9ZmcRpJAa+uVr6w4aBsepEDyNdT1hzKqyfUEuKw2ekqwLzhTmTQbyCkWdxaQl9LTyEnMiWxNPPiJU1UtNpVP7jz0phEuCNJwxjlkULVuXJ2S0WSb0nxUQdS+xBWf/MEzuFOEphDRDNdr56N3aPR7wm6WUauz1bYvOkY4IUlEyDHUVu3Usikq2HESRi62DkjjnBzWmtnQbszatT1toiXtVobXq36u7qu0eIRVFD/iAGazYTVDTnrCHiIIsSH/Dl9nedmIzf/o12CT3N23Um4bT5Gy2BQWqkXyd6TbrDTT+QuDruYqDd/55gocAkbkPugH4fE9HUDd5xj8jTH4uyYev9C/n8j3a8bvmriMn1Ex/SaU9F6xxlXpyBnbKKi00KDHnxXkXxdgjrU0nA7TfJIPLiNGmCiruNTC0uPpck7nkKrJjtD+U6yRr1+rX15acXlTEYj/BBF90jTikDfWOZyqrAXrzGrybxF+ZGyw4If//K6GFEspcDTM+qyBvl4jHxAhy9Qo8NwLaFsGoI2B2jrrCiba+Zae9MSE1WLKTkSsjaB8yQg3q2ZhGdd2Zw5KCRpQ01cr3qrtXPI1OlMLvDu+XzS6K1rnrCWNv+Em0MoOmRjHRAC9YYnOZJe8IfKamU9Z9UlXYotEtJnt5gX04+PpqcrRtN7EsuJkGFkMAEHg5TljXdHoa+YBUdOM0usQrpfNRUodAV041kb+P0b0rhrRMwQL90Dx+1uTGLfDtANQfGDYntxj+WNMIUQhO/ji0iWN3Sf989xnsSpfR9oWQ6Tm8c5CeEsdek9NrS3ty4lC/nrqQa6VgFzdJlxPKlKGi7V80IWQ1t+0NwKLFtMtbjkX/P3K19DsZKInA19tqgEJ9CtI8g0XOz8jmowdlrOf/zIzIwbbxtDuvSmJFEQ309ZbJyFjSNjMxM8ckhi1wZqkPhIEJzeMbtAmDvlOn8lYhxvHML3+d3u+JdBHgVsIJt2acG0fII3+l3Bgq3T5yarAiUxO0YBFrpZkkS66OaHnsalr2sqfzItNjZrCjPcsg9WzdBQVs5FvsBSWyAzW5Y4BLWYCi+E6GJ7MAMt5TC6HCyDy8L7kvmbDTCXEAwq+f/+6tnfD6eIXWF2uZBmrI++OYWlLPSxRwg7b/xk+O3VwkpSGeGoGfRYuiy3UIllyRkpo44ZhhFNNBKFml0u/km3E27iTYJV1fmDq5Hia9syAgPevMBhLyy/9IhTSNVG3KKk1iqRp8O/J3Jfkpr04mKY3ny7ZoTs+dtvE745lq1wSHlOe18jjBnI+DCdOtCLv74KFJWkHLJkouxfBWk3r43lS46ZH5GxSNk5GZhJc3pncJHGtpdHfuE4H/RRUEl7YTtQhf5EeK4HLhNH0QEVw46TrXoJZKZ2BuohaXEq23W8UGGG26xx7jrwedUCN+jEYvJAFsmKzEbKMjsbLRk1qsEPiluh6Ek0ct4MK3kbCUsXqQxkELjwu1kNyFPeFbJwMnDfI2s0J91jT+cUhzspQK49410wfY3Xku3EYPdq2igjtjRoPE1I7wgr0I4lGgSlubahUTfydajuN2w5bOAGooQzrDZWtBswKCR6c/QPvi6Y8V1aKWFmlCbNQRGZYLM5dEFHUDBf1vNMguk9I0ox34DjHXwzZycm93yYdJ82j8cFeOLqTuxWxRJeuqFuKt8u3LkqrlHo1NN+vNWMtWrv8lMrHBUJlQ1d07vTNQGdW0pN3XBvd0OQVqjNSDLN5pORb6Jj7tZIXrATd0SOFoTK0XztKTHp5YXfzdLbmyxEGgQC73ox4D5vHg8e6sahte9RtiMXQp8gnTuVfPndyFBbc6xttQL/4xt84pwTadMj+QmydF8S8Qfb6x0h7JuyMT4jSC/IFWOfpd5ANfNdb+YyME3mYaJyjXTpSrP3NnKp6ya1XPlxKKTrEmjsSaP91nnOqprJ0zmHP/WRYE5ToTLakbXPkndwX9qcojUdh0oebNU6xjyUu4+Xy/ytqT5X3ZStgBizpAUayTirSr+XC5lHJ42cnHrrNvRMT6vOKiNcUU5UKqNE4tA4T8K7PFmej3TtcT28tOfCGBxuxnuaRKtL/8cswaoq221ztm4VlpdN0i7b6tm7Z8Errx9WPhL5Z0HCmYGwENzkFftiq0kt4WCMXyO9HxXF/XDnpLWyUJPRju4DRBS9hYPv9kNlySn4eXaXbEzPN2f2CaaESHl83v3wa7Q21HCSa15PTeTnebjzyp7j1kSaDcmGNlxQp5I7YnuItf+smR7B+MhdM45DuCC279ogUqCPOaN8dskjT9OTcz2EXMWcLCpNkgju3XMIVXOdE2NGqpUGDTAJA+4+OliXoGM8/aymnLTpXhF8FqlFmOz+OVpwusfOd8FfFIdUgF06xqgFD7mouz5hhAnNKGsG5pnFFgfQ3t3Jyjk0h2LUtkXeVowWcc3BDBIrtcwI1grmogSDnuiN8gNUCDPONVBp4htJqFMe6uhYP8N3b0pi7u11bOPP2MpT/OdUkIxt/VQMWmJJG/35yTlbbZzjSVGBxgEx84fRz7yDrZMYNi+r69nFqrlJsq9wNGN6Yrl4CuE2HArjs9CR3wtDJ4gGIu36IbV4Kwvaj8Z2uMZmetjCLYOdeoa5av3b+n8qgOo6bEuRcv0xW+lSVs/KeLqqJgZd4kQeQigxAel2yBJj6mtbnY6hiyoyOZiCreYvoW5t3zaOT4EpbTTc8s0g1dNp1I2OoZ2DY9vk0Nguctfd15uMVkMr2RkDBwoAiFfFtoEv4HXszqPrrBYX1RwSVq3NdPrUtaCv+I+9iX3NL6QqyRnklEEaas9uysnCfqWltcjs3eZRdf8vIVfUQ+fDK948LThY4sd8KrUB3e9/Y6FH+Nl6Z71UBXeU2TByO0s7kFO5d4xcd2Lod7I8jgiW9Jux3TfpMDJvbl1PASn7eEMv4NAF5o1FETLbdrzcPxF2T6ygfZcUE/QTwEUiWgV/oouI26gI5ZH5l+hYNGNVWcw5WZG+HPFJCuL6y/d9hniqbm9GXihOLUgxqpKxaOCTQVcg5HRBJogFF6NpIDT9BZsE+uead2cDQxagDFP1/hebVdiZdzThRPbGmoFUhHke6ZViobugWfVsWWKgRXxMMtQ1bHr/eNbBETtH70/804wrpP028eGA/IUr9If+xOJ1V0zGylBrtbFyTlFb+o2QjufE0J+h4B5WJdE3GXGJpcdCDDXdoWUFKPmVkh+mpgf5MYyHosIInUGTpN0Z9mpRUCyeOb64wOeQvstfLRJQqb0ipBo5s87xlW2xhrRCVcmmSWNt/+ghTBUTMByly/jlcnRHoXKY44kVkOd5MCKIBB1r3PpJ2yjjFDN42d74NBQCXAmhZAf7A/1sPaBzHvyyx9DOciVClRi79+Bu1XqDhFIbZq/KvC5Dp7WNxI3Dy0lv6gh1L7U7E28STe+UaumQbxOINkVnUCWOKOXwDxJslCqKjiZLfydvF6SUey+lYhXnchKP4r9USa6RairZy2ZlrF195LQbVZLjO4N77gmd469u+tE5epUr4sod1qghQV403gfQO8URTMnB1c0Y27U9kTZSjDf2417hQy9uWiDC/N4mTnvb7ncF0fFFomTq+uuhyLWQSvohIfKUqxIlhjEgz15NQOmpeK2tt3OLZ5zlOa6HlYsE03fYtI0SPPdFoD2QPVJM7X3pldOLkWU87Ae0yv9wdxyB3JnRYayfQQ3q2mgUU6KSt4S0qcMM8lFsVdiOS9E7gzU28ObkiGOyacCt27h42MIdwuIBGXrlE0IRbDszMijaubwXn20QsX/cuIPF25kiwYH/ZZIB3jZnfFnpGfw5mOCR6ITCm0zzbR+lTYq14nxkjg9uJ3KMMXHn7tNXIV45itgBpdo/C1+6dsqPalJv3ZUgW01KlBWeFHkPT7OnfeQu4Dh1elbRnTG0XWn31EMHQNxBrxuTTnOTV2o8xnONLtndHrm7xn3O2Szy5p2yMTNFj3PK87CyGY4KWRrTjQbeVddNO4dDXB+qxr//IKaGDMbE7BIpUX2u/lqoBWY+jpLD1lC4K2m9ELo49rPNxhzrMgESz7G2iatjc42dDiiFoNvxonOhd9MIVdoRp+wHf+B2jcsQ2PifOZlxNQzKqtVkG7mnykRFkHYMkjNbt7+SMPhcMIJX3py3o2bODPTZdLMytZIevudq78j1KxRycibZI+Wr4j4r5UB3Kl81dtcO8zhlhjfD1t3Quxc7e+tdWHHw+fcbzixtOqgOCfOs9oTnE5c5q08Y8owhxPeWUpp0rpruLMclQLrZIfqp9dqKbBLGHhsPdzElqKXflTjBycXh8Q65cHjQFflAbQs370n3b/lhwufCpyLGruicNCGdt/e0OItizT/ADsgb4/OEiEPOy0OGedhfl63VpfTzwDemmU2EsSj5FzOingQ88xWM0TVSkrRRWcM65q08/2DENGN8mF9F2hbq4/bexrvMyAQ7ZuZtwkFlZGlVOZ51sUsmJV1V6l5l83d/9/DIkX5753MBnTwpLKNBJXaZZlgRQP51+rC77JzMZJhHhSb8SoBlG6WMoB87lAZiyLEXtm/mUl5O7XfKxpp7qlhbE6bL4gCTDoACPrwEBDi+v9tdV+SOZAnOZDzVjjGcbIRdCFiTfKIWxvv3puefNn1ygO35ICmEF3Non/eWUdLeBTXteoQzwkUC7TFXpqClmGKSr3UZT29G79GfT5pd16Ba59dT5fLQflIWFpBCVZv4y9byUZz3gJtGuUqCrI+AmoHug77bPIcrd+Ov94WCsJ56zWCqUAaevHZscsWyAjxdCr+IuNRF5h1Uq+JH9KDfYxdTjfSP62unuSIK30G5NgAKUx+NnOp1jq10lsqS2D2wjsF+GizGU3CgZtVal5ED67pq2pTdf+ZVbY9TezB1q/KpE+DIeqvgyAY4UXGTctCHHSltH0fAhqKWrmDKmYWusAmoIz1VbETDO77n/ryfkVZQweIhe18/u6DUhtB0jhzTVwwYJ8JUVojjT15p4OnSzyJOaPVXdfwy5c0iX9ju4xN+O2L3JrOntjWNiyUDQQSP3NDkFc1Xk4T+v5uj4zRyMPlRpzVGlohUUe+VYHuiYpJQFQVnW2ZYVeUt6pzCYzet+LK2hKbA1pAEkEkJ9TJIPUzha6hGHqtOkRx9SdUeuiKFNFBbL2vx3v6iw2W0C3rPOQuTSwz34IEz9GnTeUfQB0I7l9x9p6aWKosRIGeSthbDXKcsLOX+pCFenKrGJH1Rx+/OvK6m+xrm6zzyAyehv6QjUsS6cCFOj1hZ2csKMGexZwg6lChHlNIwOVds65OaxaezBPFlqchp/fIsrdz/xA44qjvSJr047fyXYzuio+1MilW/m1y2OW95I/uh0EJn860GHTqTtgDItgNMltQZjNFKUHFd93THAjY71WGfUereMcVZjJ3vF0DG9Cr0sHt2Drs6K8rWHfmcQ4DRbvdHfkH3ji2cebwtb/HMlxf3GNx5yQc+Dc1vElATKO5owI2U9v6vWwk7JASPa/clXHXG1jo0A1k8ipokHMFS7dAXk/NUXbLsr0KdMfXZp05jeiendkv3fTJHbrGK8Yppgtk5W5x2vgr7YJurO7OpOJ3Tnmkj2aFuAnoq0FJhZwezIozaXPRmGL0vG9K7C/CxtQFx8Q0AkiXVbDgWsGhmjmOqKFulJjArlo+/yVmOWVRcggdbVmGShTXUVJ1noZObpLYn/KvqZAATpHOo8yC0SdLe++0b4XwG2DLgs9EWBNurqnjf46QXc+UD9DpXkIHaAcp4IVAajD1NL1TCMNt/3nVOqQf+rt+9k9/lv+kb5S3wdxVBHi+svvQxBfrmhfktebL3MB6vcMAmU9mJeaCuyBNxeWfpMsPk7LMnjhP1IBu16D9Zboj9sbxRdmWPCnAq1nhUDL0lYSWaRel8iOFYwqtO+9SyYAY/RiBa9Hwor12yoHE3WOTpg66YvQiRapinpVA6l/drOkPS1wxQTGlTUx7vVvsNz43ZFjxOm1HJXkozPdT1U0A/nMjP8YxktnVJmg0Les4NEt7l8v2Dt8PISJ6GmHOyfdJI6tyFbDcU3iMQact625e72zbbT3w5ZIS/GmYdb0IZ/k2u4r55hrj4WTevbZjCZJUcjL+mOci5kg3t8XPnh8IEcn6MEDgV58bZjfelPHmStYak57yitNctQRvEmLYQEtg3WQHvnAmZHorzaZkAkoFnsVfR4Vku3oFtcdG9oxSqqJPrQswgm24Fc9wboW8vmT3PKNygcBsJaJWYLm3kryaZCLkmeVomAwz2cpbepujKYf8T28K5MH85OiTtqRz/tz9ccPnN8z9uL+cNw+clPd7JLFyIclW1WNn5anYRoBOROOfg2H1bgSYsmIECi5aDNItDocUSlalB1VX/4RSjomV8NFv7H3r2oZufcYKISwRnoceDHdsib473xj/EfZ4YL3Ci5y/F2feJPuGeTxslnQsQap+wQU/auBhkVAdsTVLSTvg4wySgQGV0EFhuuJvHvHPX3PlOupZi8ewJESdcP7z3g4Gjf9I7WzCHm1JGj5yAE9xO1sefFRcvNhy7BaBQMBYe3XUrW+fYuAfqkb5pbY/9WJcZ5DMePJakZVjkQjpUQIgk1L48OER+dD9XBOnR0mK04GQFZ+Kqz81bQUgeZEtow23RQ0OYK+AapzfrcHrzZtkosg5oWRSMqn2izN4N1+ybOXTodbqy9G67zq90OAAq8YNyl1fqMocI8r7BsbOLhB8Pul4i0PbazdrNyS4bJJGwjE//bNKnln2HzgsQ4QkLvjJ0GIBU7rATze/EHptp5OfkuaRR3OQmjV7SAJH6kgrNPtNdzA7I4+6v31jKg410Ce2P1rRUDA2rzFPNaR+ucUPEcX//7S44rDyfeZ7uOo5s6OWOR3hC7Zbbnqo924PJVy8kAHOM5kzBMbqxvIJHX44PhpgSj70HdfmWS3a9pL3bTdr0YDczEN6KwJAWK0LMNL1Wr9GinG6r3AZe09qAdO5XajiiPUSGNmd2l2E2M5Rx52OCOFucw+O658maPqdZ8MB9+t0SrUMuU+7f2CeDotwwXx0NKpYunlT77ECNF7Fd62qf/U4PNB4oSnU2N1UwogYvowoDtqJcnkdbTRo1HopkLox3xos8ZhELeWcSZhQzLh8/HD14MBSo2LS2ovIibzTlgaQY5OUzTmNgggcWNhNzctpEO0SBgf8O+k98AbpnsSYUkDUdk8483eYyRZ8SXVzKZfO302n2uuXT2ecEpJciVOdMYNgZFe6pdlTqxvMtIwG/7SXJO/E88/LAp2OVX2r9q54J2T58ceocOclYLmNhCrkW/mX6GNm9xwdJ55YnZNP8c4laRraCDJ29oJsDffHkPgJt3IySBBtQP6NmgqrmDcoWHC4o+fJ++E55UGJPARBn2kFitCmqOexOhDX8p14FuJPbfJ/ChvXWDyA20aTQ5BY4CYg4+YOZCoVuYOltuR2xOUMGJmwJ3Eh+YfdiutcR/xIG2xrC3HGtAkIs2F4EcjeC5sP3OYN7voAuEwvrudiQg1Fe7HzzzgpkM8TrqOGaNpVNqduOTopL602PyQqndoXxC4LlwqSeBg/tGs7ak449JqjUPNw82+DnjaprumeM5vRdcI1ZL2NmQZ6fVe+DrQwO9Dky2D7GXvAkX83PHoneo/8e51ueKfZ9a+6/rqGmmYyquk6sRfbjsMFfXnypd06wB70CHhsRxvMw6gNrj9sz71qR5sfnHGhzSVF8STNzHkXzXUOXLrW7o2LISSy8UTXLEnqMoxhU9zGx4qhDLDE4CFNqpFidI1R+CuNKamipOzmPYlFpa1hbICXHpF01QlozZnplfd/F5FJa7MAq8qpLkVfE8BjlR3nJ39YEzzBLT2/lcted+0Ns7zfb9TPsqpDc9Katw6xBZ/efv/g7ETh02M+U4DX7woIf2aC0lyHBWgVnhu5iFKeWAdiHGjUryo3h6gZP+Gr+vp+wGLWMawNTC484Q8IMtLR3M0vb0EKS+AzxVBOzbiijd7ldDT5SEe5DY5unWeaP2qcIAzq6svQHGcd0l9qSrueHTIMnweydG+ltHHLzn4ahyjXrrHEhLWl8LO8bRBwnVhRuRN8ZB+hWiwhpDnI/F7ZCTQplBrMsq82aHqRp3MYiFEhzvtVgPg+QSFg2TaOWSbUfNXsWdk5Drzq+OKdT3WtiZDDzYkgLSC6NTVQn6WnYwEww6IUQu1lJntcFp1ed5QIUGmlAvbzCsgn2f/itWox982jnjznDLKDMQDrRI4cGZY5amjbgFm+6XqB2n2H2RYSQNNDBfSfBtZ/jzvoSND9yw0ucsiyHLVdx4HA13kdSGdbWYU4KgyFlPlIUjWNFny3M08zpRLChb9uBJWKObVx6Mti4OYjwXdCGO2Qcu2jSnin1bo8q18C1nlAWHDKF6A4j4eakM8rNp0nwWVv2ib+c2Qq/NQWrj5q3xzu/mNkeVoCjbE+QcUZ68ag+wNM/8rtaEdvOvUwtSC8AXdgQfkK81MPHtsa+P2oLBAc3WlDP79A1erGAKP6nlCVHJ6R3jjK9GYJ/JSRGzb4nPP0OVQ1rs7XmhUWG2H5OQ/kLvEbstpdeRARics3dMWOpA2fZpq1yG8/K3lGaR2XR+WjSFiDjGi6vxZAXpZfU0ZH1CFcX+/jVp34DF/OwQsmf4yoJZ/MeAptslHzJANBZZyf9sZUZI/Pu3LYJHdv9583mHwOURtJ4rSxx3JBSpM1TvXzfbvHI56xdxdLxHvxyEkebZ+uMvipUrztmdodgooXyGwLtijlUsPS52M6JnFk/o+zAEv1XwukPSoh9Nsqhev+J8sxXNDYOsjff3AD31S1/IZuac/98nnabSochLhlZW+Wnx71qyGE3OQ6EPneB+xnnMdN0nPvX+NhZ8YyUbto/PB3sa6lgft56WR79VKxjzYixgncIeUCMo4zt1V8XVGDSizPOW034Zt1Ar+xzESDZAsvpid+yQIoAVOzUzW9CzSd5Oa/L30aKrS2/1Oe/I/NHasQR4MWRu1x61dRz6PSWIPqGQeTN7KYVZSYfZXq1fvsnmmQJK9L0soajf39i1KNlKvI+qIZZErB8jmJ0CtsC/XWYo+H8XIV8Rv1tfHGseXrbdT+O6HpC9DAmhcxe3m8mx+v7mj7Jjt1tzHpaXLX8uDV4PiNvteSWgWVreGSnGmsFy+Ko8q7MQFv36DoHHnMUzh+ITIgLoN2kSISeA/nLivFN0wq9IBxFNe973LvJZI4BOkPs9AFap5cpHfzJwXgPr8dL8snqyJFhu+lSULJ2pkfHJmfCpO0CJVlCRSoknrGPk8/JDxJOJz/V0Qju/uE7z5+mKtOE5RKMntGV6pIVy3eqP2e0Dhh4ouqjKpi+wMODe+q3ZfE0Pu8uQsa41ilgnTVLTknYtg0Vc5PG6eNDJgRXhYXwneEVWSplGVUdFlCXqFmmS8yd0mXhBEIz+OHxIagCRdqCzPs4htrV50oyGN3tBD7VAD45ZtlXzCHbzKdL8FBUJ8RPmF2BBZYbiFDIo9goK3IckPHVeN+wDAY1zshHWSEPBhsywP3kTX0SZOK8q+dGmKRlcib/dY2JCnF0Qo7N3p6SXzZlnyK7II8MOrUhplfgLc7I428r2nzJhWeUogOfSI3lGK/fbW40zvfZ47r368x6s8r3u5wnkjFNxIcZlRxWP8YH9EuYjg+axWhH3rXhnP1y/1VZGi8Mq4WDHpjpuajnXBHgAlmmQLN4pqWPKud9N6bED1YW2cyFgKPuzxYR6yHIonI6jXJnPKwJqBMGryzuKNZaGS2iiiBl9izpn/9XjIKMCbaELvwwXBE8i4pefKwDOzWzN9SgR3AQ9A4uYX2YvjG6sBo3b1wnRIxQambrWX7VGG4cndNX00mdm/28w3nL9oN6uIy8fZLl79XQ0Dzj/Sya5JE59cgDo0C55CaxhcfqZmrD2y2dIS6B0uU6666TljdK6GRo8wys4xJwYz6gCZnuCf2EqQFWSwUQdiRig5NdAelJoXxLNvR+f9WCp1bsBc1QFx4wZmqdXeLc98lSdfp9n0WXkK9MP9ShhRBw/EznbzjyBiNPMfVimKpK6pjsYg/OR5XUlzk743wu4vRWGSGL+KAQ63rBf99naUbtrZwX3aWEklU4mrnAMwGPVA0ymHfTBBDnKdahOUZE8WV7nnZI5P3voveRI48ILMAncCszoCRvkuKE0AFbMRx5w1SnV06ynzad83V5s0OkLH9j5f0CTNsxd8BuukK8VNW4WJ4kGmPdwlSUnaWZtBhpDmJwiaOcP2FlZuwpC7loZjEB9XDAcnYgTNklIfzi4hhoO2aUnV6ZSwe/EOWOTffhI/IbS1ueQDVtzdyjlWZWy3EuMHVxovCCacvB/c0RaC0CzVCXEcHiBWCSG5HPrmnxboUnolSjASRTRw4WYmw6P14EN5olG79xwfnpxiNCcgxFBtGUtWBenPbNDMfdYOzXlH5PKt7NhnUhVqhMSHEvABOLnUpmw/7hb+wvEaTwWWuS9rU2SzlQYrD05JT4o2FmmEkij26TvtN+udhRAz7aBisJ8X43BILZo76HdiRYJURRdbYifForflRRiZoMB57Ul6H1EGpG4O02cqX4CfLy9jNYJOyGsQn2v2P/sanpTMVWkKouLOiWHmAyp1ORgPvEus8564AVAnTOST5TqXPnmzfKNFgy+WxCKNWXZ8X493sa0ODC8wTaBy9mMJfuL855uUUPShj497rxTSfSxZFrnBEizuqqYa5mBMC+adqyK7l9mIx402i4yYEFILCheVi67bEZPwky/yfM7nNpYDhT4xgIJA3BiIBILMrB6TGDfPKpAZyOYVDjxlbhzzDms5Lg9Iuh16NIrdINdMxnHj2dUWZOaxUWbv0PTWa4Ychte4yiEsKCOXGm+YvIlqHlZrieJoWlsN1mSYzIFmCPUa27fF4+a21mj06mn20KUrmHYS8Gjhv3EuDgyGkg18cOYVD/spqtI0VpZAVZ05t58ATFoPW53QwKf5Zfm8x5SRUVo3jGAqy6Os6aJzmCb4bkKrCAE/XYihWB1LfGVTZszMDDioKz2cdJ5nRpJqRuopWjHbpVkBtXggyLcscRqoHVVm6kpvoWB4VVdMVsStQGrU0MpA+zyQKFJCWI0RscOtFoTGAp0HQgtg5LsUObt3DPTYwRyQiwdP6ha81Ttk+8rNdOChcaRiqVFUqzzVS9N/pw4xPSgr/YmwAKhHwl+m3+tFmdF9hQc9ShwMNFj7DPefArDLlzWnwefaceGncw1BtvJjdhQgxKAcJaEBEVc2fyIy/M55QXs8etSS/kNcY5GKpVV4xC/cuGllXQeX3ard2aHjnP4kAF4kiELzeTBBZnBgMSmc28mCvptnKp9gxPlvmIrSecUWBegXZP/IQaAsQzk790N3o+b2wPAwMbtk++42HoBG1UECzxDt3xzpeat+DvDLOQ7ziz7RM5LdlBhh7G8D4mI1FAe4CtpouT++Xe1JF+OBBZ8gdECX06MSrbDEDO1DK1dzMvHNl+3ylXuAt15v9qzMF0u9JWH1noPLszqqJmlJxzshPbVSs84+Twz3XbT0t0enC/k81hL/RWay8RKaRgDE7Bi5haQi0sRLLjdwhfc7ncsrOWBbHqqIpN3SgjxzYyM1YCL2prQUcvlblB/M//Ze1NkyTHdaXRDR2ZERyl/W/sZX8iRSfgIKOuvT9n6K7KRChEEnT48KFBdiBdfPdTM4pygqeTf5r7mutMtoC7LKsr6h5bA026hkQ/AB37B/dEDRsn/HTfC/dbidOMmV7etT+FiI+34ZiHjHH4vu9EEqW5wxkLGfBFH78R1TeCmVHhswoSPEfjRxGKcJ1W9YI96vNoMJK63zhdy/con7p6TxviAnHXZoTDxJHUvL7R+xgy72HOGoejL8i8Uajd9Z8CWkwYyGQ4ui4U5/cZQOTbwRIkrL+Y6RXxzeu/oh+S1Z1o9+WkhPnuKfsePv4oQEqTCt7DmQo82Bv4MBHyKF8s70V/erDU84DBwoOBmv1LiKCcfRDUS6DB7fzs4d2KAm1wbX2+4u+VhHyzCeEF8FPbbObXtLI0nqcWOhPP04Up1NPzrISJQnjSlFaUqadS1VuGF3zi8J3tPN7UqWH47Ms+xN908gFJD36MgiMDgRLzAQaIviHBjlTiJkVeR8dop8SHDvgg9xxGeOq9MhHx1QOa48Fsa930c4CczYGlvhyTzkBBsxLp1m6jre7k5QCDpSsOB75uaVYQse8WZsA5K2Oz7AzkGwjQfSAw6NCvCmUYAL7r+F4+jMjR6Ns3Fd/ZT15+r3AQDymiRxYm9NwwiDYmXBeVxvp0zlNOZyA1lh0nn0NkbpwWNbj6xxC2+RxTs3HrP5BYXX+yQ9bVTxLfUVuZcONiCVGWU+2GJbHEVsIlqlcFruU3jj2i5piAF0LRP1IPtK6x84yyW3IykMLBLYAynxJjg4Xf4jJce9EcJ4i/NBF9/xhXfRwG9v4h4tBQUHeUd1f9pO+mAqhKVZ+haaPnL3EZCkcgxZipAOPvuj05fDOCwHmjrmSwfdgO4qyRRMn5EqF4CDrgTMnDhrll+OQYbSy47we8swmIp+vdObXJW//xE5SYfn/ZRW/VkIrX9GiXr+ir65N/CV4P/phWoCT5gpcNnyFz9Lt4w4ZDRJf+tnPicC4dI21yrOLplN8pSzxYYhRZ2OWjGl9a0D8REdQ6c66qPQx+lkR2zzL9hVcrILp+WYz/lmz7g2eb/yg/DsyjgKW07m9FQYXcM99OQ6JLbNccD82bub5jMq5hoNx8OxwesRxonL/amZPdJ0WStai3Be16G6hC8ziSJb5qyTcNXiHQnBKZHZulmg0g/b9ddmD8AT08Ga7Z+p5Xe5PLIAm/t/e3peiGQVcdVL7cTcR7B9BRprDYEb3/tIf23MOlvKNTrZtjderq+7nf350XUl59uX2vCEg+1KR3FaF3Gj2M4/k+2HSSj0kPO+KKLgC21bsiwSYWOyXgnwDL2XY7N7CybjOIxGi8r95mNVwXBzZPYccXQyC3QqLTDS3YMh892igKuoVxjO6QATFFuLFwIsYiRav0YxY7J/0r9Wv08LYRFmqWGMGJ0RQjwQ4tlJc4JyHhjghV6EgkuDKldeudZXcbOfg5UqjYYfbLC5GwfziB+eT8dqpq2rAp8nq5x4BoOSuhmR7c8KaEE5V3jrhpYzbEiJ8DDRxlxkX+vE9Q5vPqROdUcnKgFJe4QnbjXGwvGN2j8/oh3+3kl7QVExrQJIP2GV9/Kfo/H/3LrFlx/7vG7wdXmjyaE2BfyEd3kKsBdc4fQtkX8eKNmdSazGYgBPL3ZcSalepwmTyL9t2XxAxOJFjH7L+Cpx9e6NfxONFEefnzOeBDyQC+vOOJkeghw5Sm7ybdvO8BZe1Lqn9xxu4a3cMaBAYdnTk/bGziEnzVhbvvZOOjz+ciyreqmlG1Nleg/MRmzBySuYEIv6Y1xhdo1roKa1Ugav5d/5Z+0PmGgx+UgXRNgWkrwhWXA59owof2qxFfjnjuzMuaJ3VFajmMvdKt74+PmgBsKA2F7SB5o1MOtk7NME3KZOTS8aJBmYnsQhGTQy9XnDbRNNVs6wybW2nydWXpB4D8cLX1cKZR4opXYacbFekGvQUoNN70AavItdFtFJwmdy7vvFK9Fjkx9k2938IswfkMq5YjS9G97ARIMiOxORr5/jqPYiszoxV3rLDxn798jCv4khjHxlC12OUmNnUnmNQ3dzy0If/ATTH1dfOhtFBl8EUQEDbeSKXrkcnZUu4Sqi7H3CMYd0VBNsutNohn8ji+LmcUv86nvXY4UiGVszC4Ity3zWGQpF79TyNBh+FEfD5GMf4emRDcPSHYItvGhdIM/g2nKvsy7cw4K9HDcPiTfEizZEl6mUq7b0VCQ+kQZm5pBHuJ32r6zJ6NcVLd0ooQRh96dIzPOC1BztkQe5k3fZzB4DNwzsAlGy0jFLiw+HhBZ1mJuDO56hjswnqZU/z0X0B273B7YPqQ9aWhehlKs/deVEcKdspDaSbo5/02UiO3bmQcxdR3oWHIFofbZRhp1t3tLY8ovZgWx8w6AJXOhypvWa3TqVKPyu5oYGrfMqzZhkKEg2eY+7/+8bTwW+/5VcxouBtMhK7FZL3feDVrue/hL8/rxS+HkFnQQ7QiHWykORRjxTRE+QDhzItLSgtZvVffZDXTzEyrUhg+aNzVRN25GNE+6ausXvaZNGFNHu61fJ2Q7St56Lg5yX66qNmNZ5TYVmKIBLYdXEhReDhRFHaJR6trsv42dJu27ZpMqYnGkyhNLWKnkbmQkYt0dmQb8eCxoBrFOzQ7dE+UtrcbwqTT3P1w/jp5yKPIeSXMzIsusIccqK9CckWcW3v6tHVHH2V+1627QqNaGuh2X1bFO3+pI/A8z/83bA/6f+cMg5q/P/kA+NO3woIyl2ecHIIWwt3muM+PXjjpFcW/51T5rNvMJ5EFuB7bYoJtaI4UpBhRSJf+ikHw0e2kmnMe/Kf6vRxhvvebVoFapnIUCyWyVzrpP5lhLkSBdQwT0oDTIgfOt8pT/oX0ebgqnu6X18l7UQExUKLLi4uuaSU3X7+2CoxtVVx0l+95KvAvTfbYvOPikYhaj+o2rl2EciJVSjRqaVmcxtFQb2lrqyKIV8XNbeozKAZHpc4nS/pQr/YJybGsC76oY3O4b4KkN3QXpwkdNX56ZSe9UhRfIxGZsFacH7IMjvejtWudJerbnx9UQAkI+u7CCe3b/PfgCW/yQ1SrwVOtXhTfogyIKx7sc/1wmxUieOZsq9hWHRQdg0PeA3X75ONaHIj6xajjRd2jJWDPmLPu5N9evwVgKMBMZT1j+30vjanw9xma9SY+eTluci194mv4gRxLBohQoDJwbr46Ak7ypo52ypLgr0jddF/qTbhXh+cregCE2XKiz5FyZtqbl1icv/uWWYIs4KuOLdGRd9zCNft017jhlpz9aKHOtFrAbfbm34ZQjrgwuD5aP7hRl5AbmVtp2yt+C4FjvHC3rORZBEd3fyc3lBImN6TSBVu0w2nTNzcDJ94USk5kfhGZh/XKprV1Ns/empPeEvW4Ocd6mHFb+IFoX0Il11IxXqKZndfUvMe0IzRGyDeQiYavDjVeJt3buPxdhk2RCfk4u7+VuicEv+2fVd6J+OTJxuSNqyYiY1GXfYMcj7a6pMy4sReNh2OR72DxrK2JGxizVyjTC6sxk1sxVhbkjS/MAD6S1ZxJkkTcY3hFVldkT+r92ywg7g46z7dafO+d8FVJb+jKCrNRx3Njd+pkOBR9Q48bKlmwXjmj0oniIVyBxMExTxQ9+UHErk68YpwAEE08RgnZMi2hk4pJ+eN13taDVOpR9zdfacxGm37TyphtZ5Urv1jlXvvFFOO6KykX9uBeOLjkI3Mk0vnaZWfsrg6iWNZeLhHvWx0opY+evHH2PF4uN0wkeJzFt+8UTYNAcg/M3G69gBp5JYKad6ybVjF8/LX7iIo8Qb9WQ0SbxQDP9TaweKSLOfMrAHNh/XaoNOHmW321eADiJwyaYd6MWXFUnMWy7vDKj4g7cYwiRqGNBLUkxsTiVrDUNCa4Qi4PYEhbgKGkz1C0oAfSgyLJ90qfI8LID7yz83hIuI8WlJmmxbZBFjrboz0cMHJAwMj4syLsxefQHC+C9It+JjIQeGfmEN22L1ny3KgxrbGZPNKgMtsj9rUjESH9AEtffnAFKdGO5Jp/dERmORG49IABdokCDkbKaIrsHV5cTfgs//nhrnbjuQBrLWgSU+PapZMG8JMjQLU/ZtKc/v+vWq+wV6rOx/m55WiD+snBk7xY1ow39NEbX1akzqtQH63Cnfyc2823Q+Xnu3zAhnBFnOJ9DZ9GtgRtYgQHdE1pggRGVvFeHVIBX1l+66Try40ThQJpA+gkdK9vq9kKQFADkwMN7Cxd6LYlqWu3jpvzt/jLdMTsKa496XBoD96/X9G5uTPqXxHXkvwahv78sZT6F4vtrPkMZPz3S+pQbc9F7BySuNg/9j4D/OliIp8jufDjRmFyJV8mHjj8KD/Dj2FWOZssIKmQRJCiJXMkIg0IKbDZCaSJZM0hFuUgiP2LLPQGU7G1/aWwpxNbvXNUck13zQ3e+u+OMj/s7F2Ky1Mcq0Rr7a6CY2pIABG9iKJSs8iz2hvObx0bIzS8HGykUW99CFpOb1X8yflc9vOU7n+HoO1R4zSbzz3hoRvtvIf+g0l0Y+4ToPeL3Z2k+/CnNogKb08X+3489owKERPdT0gEvcPy0OS895seJj3ks4LnQk9UfVU8+f4+0kOGpzsI+WD5d23U2pth/jaHEop8tDLgpmbjRnxp8qCammggH8mMgW/SYRQ2S5lc0eI2yZleeZMzIImMoiAnz0VH3vFtDnUdR2cjiU3+wCKz9p5N2iuBjIUatNmAx1JnXF6lbol6O9DfH7076O0zsk4ibtzXF0d3LLKjX4vgux/zvb9K6LqDQl6ZG2qE9dZgE47wQIXb6yQVt2DTOUbRebUu8g0AZC/xCHvF98bWIWz9FaFCZb0M36kgL2uOqBY1zcK54h70JgUA77x63LWoskatAGq8ndygK4fZ8I1msAag1XXWW4NWcDTTAb7Xp8HAvv+bty19X4pcwYiud03PfJf6CVGHKecNjghprrbptTikoj1zqb+o/QUcUhY8YJ5Fe5IXvW1fFT0qSUAr2it5kKDwcoWQc57LdzdI/YOEhTvRwZBoP0j6xYyLeiXvBtbxR9cRJ1AVH7Qlxuq4ycd1SQ4KtAvM09a126RrcG5qT7NmR9xuWTytHBO+y+aGa8QzVA+7XtjbtAyQqIx+ixZDqhG0uX9rp+DGpDhZ6a3MNlbspBCqTAdS+kWJSYkaVQTfbnEn5GUhu1+hiyp44khzCcLFneakX1GL1oxVt0mAsCgtbzS/e0JLj1UvB9KDhJNZdvzBqvQ42SVrvAETdaL/JolK0+aKxjqqcofhUiLtHPtQP98K75Mpk0csC+P6XRumvOwv/jvmvDN3m8KENiRFPXavnwbp6S/Be+jWFwmJHZUpaZ16LlBM7q7X3XMhdaed/iRHTmAnvd9jitpHJBXHnFfpV6wn45+Kr+oplx7ONVDWrxG7P+JVR3qeZRbQ09zeX9X9kcrQb2mWeZot9F2AWz/0Py+cDjly719+C1/YvUU5X+KeP0uHgAPoSqEzy/QQva25DDRpt5qdN/8tt/Y6l96doi326Scsuph39ExrBrDl6I8HxQ3jpl3gL3VbzR7al1ApnJoWXfU4SjT9LgD6xQEhj88w95T+Sg6N34AMe6PWRXp5zKN6pzdiKp+hH34vVcPvoz/kd0mkiMLl9yMOm6z+Qd+l01VliytrdzkalADUcPzVmjr9dXyqqfuOSpchC6L34Hee5jMbbNbpnjWePpxS+HpXhEQ6NCPLbKyARao8AHC19RyatYcf5PCHXInrVy9dOV7WTHma5LNREPhUR/Ht8WRH746e2NyW6YvA6NP5xU0k/Op07MYPQYF50W2iBdD7Lr67St8EChhzdeQ+w1rvK6zeOI5/YC0u/ygvow0156mQ4PAA8j2HwvMjxENf82Ng/BlX/clS+itvJdccHeNZy5DImttk1W9mH0wrV+5n8fQpHO80Yz/ToGcNMQiVP1zpVKUlkH+VTs909Kbr1+4uNhiWFcOlqQ3Xw//3Vg4Hu+55rSYHCQCBPo+7UdX9DvbihEIysEjeNq3AGhmChx5v++2vTyIahOPsmApAw9nXUn7xMFxJAk9WJOrIevvoMbb2UG12SF9H693LWlWXGQQjPq+SJk+f4hIPnbwLGCpKyFObvSRfvjF33K1cOWhmgydg9K5+TpHR85QIx1gEDTZxH1jxR4r0zXjrrCGJdQANjutscoUS4kqnfnMpdFqar8gFZApU28hno4ZAnfxBycbcaUsOHlXOK3JZNI+iyAg22U90hJvc2u/eGPoVhTebkSwAWBlphqZcPIREWa9kn74V1RCkMlgxepErhvVdzGFfQ1tp6YWjP+nA/zPxXZG4Ouh9Kx/GkfPlBCuirPIigN8j1Y7MVcDAMu8GDtWzzseA1ABuTvM3V+0LmUipxuUncQvKfEK2k+uT4cs6toYodVL9TdaruFN+8b0cxQelXG+zbfxQlebmCR8kiruR+MFuTM4u21Dh/Xgao/iz3PIoX/+nWhfYEwqseqZsIlp/milrBpwaKkfWMemzIK8lPsnjmOx7Afl9rHn9HoFjdscYrK/RxcnMsoutcCn48Rclu8OpGTVOunmf4Q2eWpwMto5dSic5577BPTgcfK8ZHSEqD0qhBwhW5tCxzGPxhZ1u8N6oMILsA89+s6kYbhPZh6h6T7S2NRptd5guhd4Crk26uOPusNw9qx80s5GvBy4CoN903DbtLp062AIxZhe90tC1eQCTlYz2EWiTW/dIz4oJFzodS6xtLV+pMTkL7FcS8U874m4jvdzHmNfWCBjIKrHIEFJuY2FD0zYy9+azGmVqBjOPorjyM7RNGBD4b5Y9gj1e0SPfTJVanHQaeQMxqgT766686OyH2idrFf9h7HF6T+dWPECUuDql4hnb2gNchCTITJCOY0Ro+gef4wasrttp9+zPwfUZsHmfU+RO8OifKAU3IzGr2Y0UNQ2hGYmPsuxSubTRv9JdBo0dNcbVbVT9tMQYcHHjyZWpfbYhHe/o85HdkiGwJLfSXZvuhKEkaUwzchhjnjjsG0eueOpU4m7GMaw5Yjf5i7X10UV9f+TzeX90JmifzMTw/q6783j6bO/+7Dref9yHiX16VEaQW489+StwTFpanxre3+fNRLF8stS9hPqSblAOn1+yw9pMjZaQqLXzj2a6qYGGEdVm4mkTf5y6zLd7JoD2CdENpL4PI03LKNEODB6Y7+s7/Tgs9QoENkBU/5MbGhRStLgHZfAZKOHovvtbINgeX6s52EBSZe6CdsiFmaS1n3TjxkueeDWQmOlR5zdOlqyNmaeUBcfiGOFStY8uznZuo3sVpiHSZhh6wvdpq6HWRM+KoINboh5kcFQhKGZ1Iib6QhzX2arPk/jfp7bgoVcg1hmfaLc9ggvC1b2S+qXBjn5nZffinZphhhdXKdUDR6lAiuWs/Um7IfBPvFhuCPHLKGJLUzIVOs5Cjod1oDQ0+UXm4xIlxbn25umwnKjtqTmBzP1KR3xfTduVCnVmieoYCeQdnltU+eS1JoAAW+lHB4uIa0SyOLw305Mb88ZGJ4qVYNez1iv5RC3qmEdftoP5zL8P0KDCdhwmcH5gPLjm+AEq5pdZOat9jsDF09Skh5p/yKLRJnfWm8LuSATGPMysFCnDi4RUyrXwB3RwAw+dQj6Ol2jnO7eHbXIVRxc1jcYeMB+mweY1isaDc9SZViON6G7PvCVOLrZNkZrfYi7Wc7PAPBKAk5RXEsgkoEQ47yIk6UY4UWNQg6i42FSjCXWAH1dBqToa3oViNUK5R+1N7Kmkm1Ea6Rb37phpp0eLP9m72xJpSoZKWb0yUx6Z3B5uPhH8XtXOkaN6U+9kbZToco4bYjh/VWXPqgmnG18vsUbxhis7Jy+fXnS5yfSnuFL+XdcvhLpwJ7So2u7Ebddv+sVqzyCTLqVSZvVJkWaZbWd0G5TyIbnf2S7Exc17Ft8kXz3N/Gx9L3UMSqbcwo2jpB/g4IgmOVFi1ilVkFfdoeuEhuWLJH/QWyGd9Qbp19h837/auVadlt3wujEIfjfKS9BQeQxVXvQR4fH43fFqXb25Ifxs7s2V6QGMh5c4bieJwo3GqSqrFzCvHenUPjnTLXF1WfwV2Of3yH6jutibq6RPp71S6DXkKOz3Z9g+63K+tZPgh57bxqATwyRv02UpPdQuQz0xYG0XphBJqVX9yV0IFVcxaQVWPp70v7DETKVBfcakW/glTkDY9RH5H+dDXVzWw/qM7DOFjedSENSFbCPMK4Z7y6PTCa5JOoJbKcQdgNA4KYz1ErH66Do1ZbLgMYIih4hoDGpyIgbeZBQ3JYWcIm5Zgbi/SIJlYqzoVrMidKPwsqImaTOFMi+bf332E8Z+uj6rl7aVx9A6g9tNHzZC36ol/kCiv9hO1epqhlBWI4ak4NC8Lrfgex87ZmYecstXG9TZVqTET6+glxUTKBBP3omXnIjAZDwMVb5IZx8SdmZggiFDRqvOeE+hV8L2JEMWcMU73fvXM2jM6gRbOyqc9WmHRPKh0BqVT/J81kiHoEIP8lX6JTKo6bYg0SJoAb/1Nfw0EwsTXk3XRax9Tr3DyqWco1WYStm8i0ZtF/VO1ai1K8I+aAeYtNtJWcY7tzTrn3ohQImliErhWBTaJr1JVEVZESGbAj2zuguNT2RKzRvG58VVEpeKyLt4snI+XwN1QMXKG7hlnrCv586T8Q2scy4xmvoXc3nXYAaL3S5q6BLDTkLoqsL3z70/oIFX5PuOJbxgRLS+6lDLDSLPa0SLjk+QV6f8wzzWtHHxRGak8QWB+4eZI3AUWdhgQnP+M4PU4sFNX5h8LBKHGo8e+ZWoJ30L/RuZY6JMhh4N7AriaPg3lWsjhEwg6Jv1zgPw8cf/vr+bYBuKzveoqAuL4G+zfldK11K3IViVQU0AGeZLksmhrsyXft60Ec3Y18EXW/vgFbqzGToMWYbLySC99I7tPXXerLEy7UrMZ+PcDzmd0n6IcfxptLXlBY8i22OBrvi79ztVrfzMKt39GVNgdH0MDk3fP4LaPxKpR33PeupWSm8AUjEVT8Cp11YqgRXZiY47SI4X93pBmOq07IO52W33DR6bKKtTG4AkF/ZbXvRRYxWbpRAo07rSUzVyth738HJutmG7uEylcfHOy8ijaex+sFwo+61vpeRU6Cmx2cTvPOuuUr13slqVjKqn19Ay5VjMBYCkbH0QJ3lTGh4bYAWypIcv3E2J3G8/qh+6GvFC1Y/WBNF0r0t7pRetWGO+os29TprcQoyNeGtsASxYkwLWwcYT0cmiGAJVET+w92/EER48DKi2+MJP9JWpgO5kzJyyXjzR1V1zd/jsWv4wBZcVf2KR6eQdeP7Hh2OCxzfugpfmw8zNaoTCz1qMDZ/+R8LM5nY+SvxGggkJumNNj8Ze0JYtgBpBJjAY5yrtCoiKKcGdgAr3bgwZxf7z0slA8J7eX+E3cd4ndLeqDh19quW9BjiyZn3/ms5nexPnzJ9QMg9eia7TExWJu4rgS2yN48BJWtN5LeY2kK2Q2AQxagD/Yf1sUZduI+uolvQJtQaXCXMdZuG/yOOvn6wejl834+Rmb7ITqKI5bIjhiTI14q59atLWqbXimtKIsPSTDHBXL+c4EeX3VyW5cmyTaA8//+DiFX7918FWmLkIPWjUKVGWXqZgq4aNhXSJyZuzsMf4oYhx2rX0uzAQe5MZfchi3iVNddSCbdyNDBrhgMGFruXNIKb5q/x+bOQPu+Ymn/B3PvKjP/P0PQLg8T7K/r8oTjd9t5pSqiAHPiteqGbWiebm2StNMVZhLYbHMR052Rs4TU7cD1x+ilBdeV9QY2Lqq6QA5+RaIgRNn7vpRhZ9v+pkNcWjyLJO0q0+Hg88hNVUOmRAnD0qLk5dNQKZKoGiw/cclWp1hEmQrfoSUfVgWL9rmZmYpEOQgvO9s0JZbN9Ggsz9xBODwq2UI21UeGQqiWUyowAdSaZdAIJvpfMLlcOzJF1XeV3PzN98eTa0j82g9GAv4+VitNiIZUJkhrQUlzfRscGFFh1BMUcg1Zc91X44/rHSXxx7JeVr0dQBp6Ilq7qTF9Ik4lUG2XOmyit6KgWaDZkPPDovrvE48CXY51+VaeFxFXrDvdUOFGjoQVx/QPa8f5UpSKQE0BX6hDqjf5+IBxnvzsroZ9qnY1EAFS406GJey5hQpDXxMATpFgNeUEMt/qXLwSbL4zbS61v5+VyJvAFZqwNED4EXxZhGnxK9MjrOL8HlO0SnpU+xOR7MJobBrE8Q7gltxmjUcHKhRHJsjSqnexNMxjG9C5SWq4JTw502ZKjoVAHtY1U0YJuN1mDpmNI3D701L6Aqcbd1V2JTkocGGVxmom5z7S7F0FVffrO+0cJ4ej/NkNKOIHey1gmOaKdlWXf83XQvHaIv4plrHvc7Fj06cxJrexnoO3KM5wrsODg67e/NFL8y27KIzHUMQfj5E4F8+iiWoqbDg38WM9Jr2vsKLdVHkd8dOOKuG3BJ53Wuc4lO/pBoFLvXEkAWDLFGtD0MRC7DMShketTKZ0Cw/C6R9ZkJwsLAVKqa/AQcbUPvCVSQeDX1FmTDsBi1lubMENLeITb6LmPhFz/BeLBsC6RC2bToBj6ibcfuL4QfrvGO6SEW6TcPs92QR+3jemNApYCoQWYhMKq442MFHpfK4u21Mi/5VzWDssYf/c6YrRxxQ4MKr1+zvH+Ac45RpD+afY0iv7HLrYmH2O9UZoYGC+3ROI6GJVSGVlFNiEJUktqH5mwoewkNPoBlrolpIww4WYJEd3V/M+vu0JLBHKoiXpvAFWyVKF4oj+yext16uEL21ghcTkhS6j9nGb5pAVP3+s4r3/T7AIk4c6pJue3Mld/mpXygLjW5Nsk8muJgrc36n/jKfBYLqrijvSe68NVlmTPk+a7qYch2VlzD42geD7yobSLpGZo9TbhGeXFlMTUF5APNAGkCTV+cKVn11vdJNBOBrsRJSkzLF17Lqh0zPPpsxB0StMboMQPOwPUzK21YTTGrfivHK2tKTf4JU8jXwrOVrKkfO3WSP0lO7BJX25paSNnfyDdvihnCa+OMq8Tdjyslt12yfvGTyoBEJXyXOlthCb8AvGTJN+l9b68e+vbBKYXRwohJQYr7wGlQoBCBSP0VNsp/FqeouAGwN8f9Rtlxiedve1DPzBZlJn/J0uBFRWa/QFHVzCwQInXwpgXdflLnQVNrUjS7CBGtjyLSRJwtNf0yo+KY8e/92NaY9Cvx41wOfnx3Vysju2Vw794zsivEepJhCREoOWlkdN49DuktsCt4a+579MjhiGgMN7iFsWfvpJ5seK9/WtLI/3xXR1fU9GCmbpH6BPvxLq4rtf1BYsg1p0L90HvLuaNtk0xWXMZroPLMwrtYYZeK4P8rrqu/FHejMXAl+4s2MoWpBiKdrvbiAxcv9HAF01v+lt0zIEXU4shIigngoNtV6D2TKT1wRnenXVkSoOXllvWmtwds3ksL3N/oBnzVq0fOo03WyO5EH5C5hawWg2Gnw7v0/DjueT57vbe475N6fZuSyqf1DmWBs+RyaOCQK2waJZbQoZ9KNKjLqPPz9MgAUwkCPe/30fLU8HU2Yg/GeuCehFejqwE+t+QUL7FluSyjDOQ39yMfdYUxLUKUv/rX4SV1gMiUZ5j48DFuGEwbxwCuU4AjBRh9kPVlJDbIHr7VpDXDIQ6pYRcwBur6kjat48Fe28qp52vxKCuqGFFuCRaS6Mcjjx5pLMaavdmC2cwimB49mY0zYLSgxYqxV30nxpJW05BHCT2T7niLGjFFoxeUjVOsOTWI3AsKje5xuPPJ+4UpF7aCn+3QbZZXT4d98LtbI4DRm5AQLO7ae4LPc/eeCGfpnripvK7JfyfZ2wfIu0+VHurX7iWd86+nerrV7Xto3d2M8a+b63/i6T8g9elbqGOR1m61OlT+/f+X5+sL+6X7M2rpmk0ZP6KNtKvcg7JGwGhM/Yb0ajlz+sDS+4bPPCGmYlwLdBRC3zsfhJ3e/5caWG/10QhgVIK38gqrNC8CFyQeR9Qv98KfMJk6GJWetdQZ+BzStGfC2MGy/mCoV50QNbrbaqPbNWMHpFysZGn6Rg3EwJvOHXBqBYrKorC0ZQsOWlaGj1jT6MbeNaqNQrrl7DoXioJJLg4BCN//IrfH5vytdVI+C/3r+XrHcQ/V+MAyh8YzYJp7F4T23qJ2mWh3vX5eS/W79w137zzbK3pOH/ra10TXVKf3h8X+t+IIhx8PvufNv6vs6Q4nL6w0Xp0RP1Hb/IRJHfTz2hypqfJ4vTMgG0OdJvOfiRouFjMwBMrvIgJujMwotuDCLGzzGgugZwiGi4F4Q2YNt+Oj4dDa5ysOI62sPBzA3uXRWQ5dKpcXk0DIhzB8GehaF5uHB9T2j36ugtlXX8XPTmckvwgjDqSGH9Iigjtwf+Zka6ZEIbx7LR46FVVD7E0BdwY+AxcieNTbU7TmPn+FPsbOiwEM8eBFGDyk6ZQ5cCJKP6szIu3Zkjv9/s0QPZwiWTznMlMj3Lx7hg5evKU3U4Nh+c54GwZY9D/yLpROFsSWL8LVQEZPBXkYfeRVsR15t+QOhr2Ug2fFDZ9beU1YYTB0AI+CLZWqrGmWw9VWhmhhV/W4USK+Vd7hs53Nwww1xXmLveI47Ubntaj3eprCwPe6C2q3zxl70vDl6K1IX3tj9tgRwt5mjuzuO8GXmgQmeR3v6b1fRw7ruOaPTxXTL3YqsnFLSv6gllos/6LuX97wO3y+RbENX0Q0KxqQ610gPqV0Z4uCE96EuU8936kbsPQmoVb8Fq8Ri1GWHbODY3HovaGjfX9DV2JmmNSm0YHe8nWgW0MBOZD9Hb5tdokpvvQ/We3aX5VtnT3kjZTfGulEZnFtRFeF0AVomS7p8ZbpaBra2KC6eUgbs/QBrz/j2y2DjdubqvE3Wx0J2e+W+Ncz9qvn+FEtobYqt+Fm0ldnfyX7z5H4vkfl6S3IuHe1t5Ln9fe8Bw77rua7v7tthPrkbylIXZNZo08Q1y9U9NNWfH1W/CmWY90pQQj3LkW8zCVBCyKECNGyADHPOIGdjMzbeM++DYyz0AmuKALMMGG4kQ07qv4iziuV2lvRoX7ntSKF4RzZ2waT73d0zW//WWpcWjrBL9ncnq+FoR7xKjgtIIWS+aalVGOKC1R/LckWdwzJpghfji+IE3McXEvPH7CwjXXzV+LKVrFU86ivQc6xSKVQySULB1/Nbjq8O8pKCZCT8uGUZnr2a4gH6waSlnbH+BDGdPhRwkL4EXGr23JfAPZQTIlWSMzM2YPv3msYjXpT2HO7gzPzx6dYCOsuqLAOeteqZIKVeLsQ6czRX5+mysblAdm3LYdvuPLWp3jHU1VrS328lZd4x0R0hAa10Dw4RFmL3gMqNRpX4gza0BB7plHmhBPUz9jJGTiLlo+at97sO6VZWFePNrOz4o/JrOequqjtLPCmdtPxPbfPh5eg4RI0pX63q0VZ1QcBrznjC0uOK9rbKiZg2CXIU7+XCXsFIud7xXhTaN8OIwXtFAwX2avq92kuLmUboVO/XVOUqGl0sLArnfWkvbsh4x6MIm8houeyTt4yZW1mOsS/NFhu/ifffJUy+lI9E9TZA7rSQivLi500Wl9H2EyRCymgOcGGVAqFg+DhKipA09tNs0XfygUGpG+wZT2rFCbw1Zkpk8DOO/Nmo/DfgpMpzM7KcGPQc8mvSonL7fJWf4vICTVXpr5zcXuMR3a92gVcUFkHVJjuYeCW0P41DcIOPso0N5y/xn5cdfu9tdM2ysonaxAD8XdN6GtlUDVe58wnoEX6QKXe+/AbW9GZbp1Sgkm2/+FS4zM91lvcGajv4jei/34EFywJJ3lQrzGJkvmOtHEBOswYE/YTpO/qISEcJ2MklPDO9cIQda5ZGEy83977797vcJnfZsguHLZgEWor8yNMc7bwTssk53HKdR/WTsGVjm7FO41z7D3IYndwHR6C76fJ91Aw9PTaHnKSUg86boO6m7vF7PtCdbPWPv+Tu1PCQr97dvbke5TebcApHZKRu/+y0qEToR91z/gMh3gX+UGgyQeeXi7pKFHN3HbAqf4QHE6llhY/OEQ4BLY7tdV2tJCLqrZSMH6dQluy6myshbLWAhEfzYMluY76e0j6By+xeBgPyUGxYSsEQ6KF8gVMC+0Yj51RYZ6Yt57HYY986xkzojCPZT3cGbAYWW3i8sYaAogEeoY8W46bk8NkMzRmKqBRaU6E+BeYjWCmCzpSpNnLdOAXoUtODhFQJ3+9NyoCWPgcxA9Er0m955kJ6Kyw2WTZzCwG9P2b28ydDHn3SV9eYNJdJq2iMW5fofB/pnIWPk81d9XALPcyE77Na8QsMx2knZG7xP1gIHrySYx0rx8FllWECaa7ygCPy5CiQo44AdD4Ul1C2e7EWvGrcyu8czyg4+YGQR9b3N8N9jP1u9QV3toYUwcqbSzUZIHeWumHPOuX78KuXtGjtl+/BEFfJ1nj9tSlq1ujBBuMmZLx08G146i33lj302eZOz+x975P72G7cWOnNqShFnoXUGc0xCGE6PfziIPl7s6b+02sU9By1xdFmFd1xv0NOFR8QxgaEubG77m68KgDV+2b7dewKlgeVMsJIWgjGzNocxpRGnAd6ULf7areP2UXMUsFG+yohKx+GG6FVks74Gr7naO5Y+LWNuuIA+rUOTZV/RbzumcNlAd/t8S8bvvjEtvg1BtdMxHjbbwxNtPk8JMI3zG/40bco8gP6Cy+k2040NHjSe4hruH4zkXElBgPzyLzb4v74SVXIRkPEjN2FKgizWM4nIiU1hbctupI2zGnQG2PNYjYniine53PDTwYwHlZ2HedVL9KybUI/oJrim6hIOJUqvqzCyRrnFd0OGpVtNfvijRTUK+8H+yGE9AmzOB305jJxuNR9VBTvKyBDuGz18BtV6lZZXLfhOR2UngRnFXKvBgbIiwEkOE1/uEXPjizqvoZj7phwGrRd0GbrPmV+jGdOn6bgUTes/g6VPgShzo7vkEAX0Ml5oNKkAB0mkF3y+h3mNC1ZFBP0Kq6/4kXWixLhvwH4bXPgsFul4kZ0fHOOzMt1vXLZTkejbzvdos1lg+0l+fj9LoZ4CbiqeMfc7ZtNTX27ygifoSjrVjRk2zplkDb3ylagnpgidjVRhMf2H9aAuAc/aAh/HH0U6Z4UaP2zBwvIvVvz75TlEOK3IISsn0RWKLPjWNvnbZ2GepPAs85ZaVWuezGDWla43jue7WyMUyyBQbR01L6LtMBlutQuOEnBFtjM0kXRbvE6MHmYjhrSBtRIaJZLUSUyoZ1RHqjZnZUOvGoqndl4zZ6JWazW4g3zRWppcF18BC2iT2jzETKDFRzwbY8xIj0TD4dxrL54Kg3a6wWgNz+vW3bEg6xE3uvbHL7uJUB3Cl3ZO/tff0SU/db8smoD7Ni3vcZ6QavMqNv/zeOLyuevRWZr62CIc6QTr0XbmCvIEm0wnp7gLO9GEe0ZfV+H+BxDWHCLyfeZk4Tz9/1tbPaMQX6r2F0vac58nzKXvSuPeRPf1U25zH+1OifNGkU1TxmI62v6pOfha9SKK+v0JudClAj/gKF0JMu3RBEJjhZE5mhzHijaVRGk7+y/qKFHyTgVbE6BEoG9VE0mFTT7msxrhasdlb4Xfee7/aMJtTm0mFdsOH9bFREHhlxS3swX1ospc4beLyQgAOmFfq7RZHSs95xs36Wop9bUhPKq50Houi3OyhWTwgrZmK6/Kw6CM98eyVWiXvV2AsOqfIJihyuKp2aBvZmgs4u2Jv0zn71m6rKUmRhCwoasq2J5w0/M5qeL6zh4FQftcD9wgieCL8iYk5L/zcRXZrAvkAhw5hADiiyvoYvH+VeC47EAjhSlCkRtrhxrncMt8X3AjG3ADvpgyr3hCe2pRueZKG8Z93tJeZqRxwER4VpJbAWotY0d/x85CtH52azCXLMjj/sKPSZfnD9C3m1V5/aa7hmvxt/1/WN23Trmw96Dg7B5biE9+tzuvs0Y7C/6iJdbMj9+lSdw08JVPovH3BMjyCC4qrDO+mRb0qxQFrMQ7Co9w9M182VVlbGNcTaxvVRR+ryHoC/PApNieiZGodKbwrk6bmSkSPl9YZWmF1HVoSIFW995MsVTRl1n89iEZzg7IKoHTQQ7g4siyNq1f5LcUJ3WV1a4yJ61SkUcYELH/lm2PgsFUGbj00StS9zNq8z0S0625sptPA8B9kr+w1yzaOIAwU5/FHJOlB74oe+GgofyxOiEA4P0AqUxON45DPazaiwkZjea2fNsaFSRAZvuuyCeLBJnU9R27olcpzw697GUy/s3Gt85oc7PcUym+doboC+zcSkMZ6RsYPIvEMkDmW9zElf1ki1K4c0Q0hOSDWdSnQpbB6fZtQYG8tRibrT5kkq14H2FjwVzE+OKfNBpnWvLPwWi1bbeZ98kRk8eFFj4MPUexZZhLulxJNeI/4UXPGTRc12oK9L9E1u5Aen9RNd7jrRuyymBgVeEkhKjM3RuJUlk45Ie9Qlm5xBOvLR2oPyl7I0/n2H36HH/1+erpdm/qTpW1fXuUjRRObITOqTvgpGxVy0CkDNPULRoGjhW/kKfR6HxREOhkHxQJBQiLlLt9g/yBk2tTbpSdO/gX5QrZMV4lJVX6oeZRE+v5x75/Qt6CBlyt34Gh2yNqP/OA+sxLghtowCv0NnZ6kkm/NWmDZD9mNm8bo5i5g+OS3GO2S0FDdT5EhuXXwiKq5AflPoqDELORVNwowxQt7wtPLpj4rrKSfuRjnrfMyToppMA4/eG0Od5BnVRH86RhwSn1yShfF5iGrwH80u1O3X/7Bb/yixrt4D6rJv7tqZSXhu5SgkWkifdQudqYQo6Hfru4/ntmZH1lUdW5RFXabO7GVj4nBxuM+jLHnkwSffa2ZPhxvTCq/cmtqAjA30K9Q9t+f2TBrXtj4T1JXPZXQ/Tpxg2DvvcW5qcFcyt4yM292411jmxK4700Ww9HmBmWFhK+hJ133A+tzy5XF3E4Dc/6sb2AaAV7q3L+SDNzAMuOcfiRVc9bsBcEGYSOr8CESNXJz7XmSkAGGzmkCGZOw6lHyzqGBLjIIAYiXjLZq1KJDyIlHPabLihyvuRl7RQqQcASOcFHszxOdfNSBXdB1dDiIddxuYFW7obgbr2gomrkPcBnsHhLNMRpG52YRr3ib5Wiv6XKPj+/RrRtb8puvuQsSbNd5FJN/n/P8S6gVfdWvmouFGUhwjVOWXe0o4uUitBd6Pwx0OP3mlRt8LyQs0Ed/hyQcKq2IPM2SS+3Fp8RBPgoke6GpbAhbObquULTbqrOVTtO71W17F/p2sodkNUjSxvfjApmj/mKb7peqYadjZsTCnElJqP6ITNDTptnTnPn96NEGgwdHf77QPnGF9jnOvk+GEctCilE9j4JLqYpo8Cp8A4nv6R9BvR+QhLsIqUQ5745fgZD8hrSFC0jgmaUArmAyWW6H1CQsJAoQZjciNrR8MNyzMBL931N6Rrq7gaZxGnVOf18CPe3W5f6hr98LcWST5hXVY2bCcq9bAFwWR5HXjuptx1OUYu/gTMh2rESj/LJ75ZIYoOapkEpLMqhDX207zssLJCNgkCgbn4XxFrnEl2ZFykLP9UtpxvEea2//FT7JDEiTsWg9EAHUrqHdHKuC93H/06zI2JJxPAA+dOFicZWUd9LvLyFXK89rxsgGGKXJGy+5hUizD2jYMwDDOv9mZm4+o3Qw+UNe8tnE9eiWTT7fSSsg+7RZE778rr5p1RDPcd9+i3t/Y/W+7L+4V3yLL60aT33tU7C4zPcahi23/rnovmU2WaLzxcUctpRva5DZ8efpnax57ZnvWJo9fc/n4S/iN/imW9jUz8iIGmjSLCAS4nkWg6hSTP3HDO7RwgmX5HOtZh38OK0HDs9FDmNqlGTPa7+dP4W1Ejl5RdI8bz1/MjUGql8JGysozUiSmtMwFGjhEhr4U+wvz7rPdgfll4MT3bW0ZHbHiMG/qe9TIBeohauFZwIi3OXh7iNxXXd+ux0E1rMaHgmo0Ov0Bvr+u19WZ3v3nfZ+qNGswHn3WAt9NE5VCW0NcYhpXaLebScPXgIP/vr8VSEAd4ulKG4zQzhAPciMbp0Gy7Njy3n/1CtdKBga8gMeWgPcZ+jamxXZ/uGT18m9Z+xJ6aabXnUStjxNVCF9HrCzu/IP/qmxeqmLyYya0JxUPCwvENTJ6fkt2LvFVuAa8FYfpVxSj2tiEFibHjlxjr1gF+tlHuy/PMqMeJkTGmLzS9gDZ5nuSi3Ryb66XepxgpzDnG8s5gG84QNOG934zH/8lEeBWI8ZrSUDK2s4A4cD7K/gjjObhpfG2KSOc4evib9hs++H+d6jNU006Bnv3WEsw1vjbmwWt+4ZvRuzpJ8MFcUDKw5muF9SzA+qSzCv1PcQK7FfXZ8Hx3PdqbgSKcEwx+7DU21xPyIbaUH0A5vYL2R3uLvomz4esHz59P83qtpO3pDWwnChsLfxF315dHNzLVBlchr3vc+APSE+0CDkZDfT6nuBpny45ZDYENkDjDtbBMxoPPkw3S5yDCExt7w1JD6Z+m/mU7vVA7Y0ZsqK/Jv5tLPrr2Lv1obfpzU4DFcNnQxr7v+yraIQ9hIiJLPJ2xOtKnt39E9eXN7uWGpTzeSXSPFIhrpMs6zMhxJZ4970uVwhGvEp3HurxdKn1jr53olHwUvS3wb5/6u1ecxturR2X68acvV3MQ/i99pifOOTOi7Xp+4+HF2qA62vOQEmXT96Pjz8eFGjOPuDzO8MPDZaxfEikHXqSMm6ME4BbsDjoNx82O7ge4/58AZNbWS3BP2pavlQcE3RTcVHvVzk8Zd1bCnddOJCVLvE5paPEbzbTj+y6kOQfTKMsaP0+/CTCYqz+/rWvNcfFtOZOF2jSC8gh+lvb0ZZ7gr7XyJRdunv7MSxBVVN/E/UXCBT81K9Ocjf6zAwrlGzl74VgnNoKL1BTEge6cxXtQk7rCF66QeDQpSnSEe8kagMvVDp6oLpccmyNVb3/r8i/O78of7ro6su3eSn8ePeJbfFMjL1mkZPNhiYvA9cXUPZFJDZ05gF87AmQpJE4BbMduBrHqQZ61Eui6oe8sfAVnB7vGAhnIbS4iLiZmcuenHw5+dq2zEwd2pbpVvKVMZl1EXSWota9b70WbZFpkRIlUOqH2U2NiCvtSFyWKQimEAre9PBAKUsyAuydQoMFPnxwFJ4JSfRKpwPookQX546QPFpe8ASQeGr91fhx8pTu9EaYMcBSgSTtIfkCZkvCYRNSzpqeR7X59aEIPaInU5q/a06xvspXqaqe0GyG87vR8+U0CKetjgy5SaEMLEq+qQLtqwt3U9F33EzBMnKcjzLrKqVZsHZc+jgbepYV8n6BTeuahYZvGa0y4IuwbV9NEStnwR+0EH91Kwl7r4x/VBHszEuwvE9ODsHumN0sVlcodpHJo/ITMqGkpcQt1K5lWQIJM60uEL12Ubp1w1XVX03WONqtsPXI+sOw2l5R+zPPXu+vSFkMqS2DMDBkM7gCxMvwX7PLNbRhfdz3CasMFNBYzoP0g9SIhvaKf9hv+oA4i1wYmbyVKLTEROFiMjvcW306fKpR3+ThP4YajBerhZmJJm+oANZBXVdZ1U+BvQHlMOWfz/KzxQcdUDP2D4qkWZQRWGEbzvw3t3slyPaZAPP5q/GxKrW2Dh05+SJrq3R9EwymhbRysEhHOCtPwlQ6NtGFe5uS2d36frP86ffim/H6nIqyLx4/Eg0CpQCsDmfc4vyRDOAxn3NJTm6lHCbpnJzBwwx/gn49d6W/ItvjeH5UalOh/Tp1IuAGqHXiJrkkN65tVJwTsrv1EKYbvqSetBsX1PW/oGMYEHdL8TH3yCMr90UH8wu9lGcMYPpb0yPwekZeA9+vOFKEcg+97gMhHJ92fPLKL+jT438l2c8V/kmztOlbrn8Tlzos2lHfF6KhiVJRN6L6HwRF79fsU+oTYI5CB3war0svM2G+y7ufwb3hQW/XZGzh3u+troHp79wQWEYdYehiiAiEycVitHMx72W7wt+J0e3yvd9pNTnbxBH8FtLzLypYOTDP/6pLNstsgzpHhuE5ly8n9Y7O4b0EtFHlRz6XvPTOYeH7ALwnBqGGjgX8iTshFXtu5BYlDZ2nVZGlY0FZxa66KG645Rtt/859Tw7DN/Xlz6CnkvG1n1QeqYt9T4TLfTQmcgkO14wgS2cZqaQ4vHHmoHoaZtl1f4Xfdka6OS6Db10ftoLe8E8X0Plc70dfEcG2erkiWu+fG414Emw2onOEr/WankjDvMACMmdxgjFTYW3NchAvXPjaCTz/MdTyB8g4eK1NTqvZtshGHivJ964VBVBoMX8hFOLD7jufYyOWEc4FkyaaXydiUjgPEz19mKnxutFHvcckBvhHIzwTzuChp2hgtJ1XgBE32bc7y+APKVO/cE94H6UPYyJQkL45xrL/1d9ICk/c2yrRq+4p5HWz9XoillHjnYgzvAFdtO0yimCBmF992RINer8SeXsTeRVKFC/VdBP75kfJHiI04s+v8qgvpXNeyS9+ub/RTjZJTk5w1X8lPt7baNIfnAicnR+WuLab8SSzX6GMUsVRRF47CN3XQNJOL57CNeiMC4pMBKuUjbRm4yvAyfB53zGEjelwL7IKSwELntHZ9VNi2eFCGOhzdrf4mmFM8U7MKrQNFWjFnVTQu5UerVsNenIVaA0fpCu8/yKDb+v7hwp0OG16vCzpGleB+f4cB9WyOvE4Xn2JHq50guJQkXcjpd1oYdQ5mQvpHC/gOG5TLaeXPnnYmy4yFawrc4EitIk6TwdPMuT3G/KzYw7U95DJatwvkl9UxAff4vCLrz6Wx6MItm+SmfzJbpB/tLuLxxp/oVRerpj7kgMDUPYia+FuMTG0usY0Z9/Br7g29IEi2WxS/PP2Pgt8xLpNKmOfzLaJpCHy6FLjPSZ88J0X1VK5IyEhRNcTWQ7cWX5O/yj08sClWWOHbZrRTtNIHFRaV1Ri/W/NFbspsQljV27CPV585EelUy6FijQjY9Cy8sBMqrQVWWW7elJ4B01SVn3bnVXWtXa8r9o5d1G7gcfIYomtHfCVnxr8qroOqpAgsihc11L1lpepID/ra5F24U4/OaaK3x0JW0ZfK5z8njceQKajQcdv/hdObtd/RTYnboam3EVXCOC3p5dsD9XoNd+mwnOG/Q78Tv9o6Chk3s9N3/hTdA1WdyZ1P+Rs/e+QoyPO2XM/j+124zrGLmqng/VoIv44FOzYzRcuHI+W/DDjZcrG/Eb295p08CDcBOiIywCfJc60q9TvK11+UTqI/aArVs8hHjqOkVucFr+rDkGVCZWnMRnstKn3v16G+Hvp6cnGN3o9vTerCI5b12ef3xGzd/BY2vw47bfEIdnoNPZjg19/JDnoHxUvEX6yXD3Ijg7OVNcvdrvfBvWkx5qcK5c/LW/UO1Lx30KniXJsK0iM8CizJIvMmDtVVv76nAHFZSfncFpxGfyjTAmhObwi4TwoP/0tHE4H2fsTcNXGX4WfsKSLjkaUeIMVPciwAvzVodpYxrx9uN/HMUPl0QDDaBAKmR8YHr/qopFvds+MiwytzjuN7n+v3N+HyNsxV3Cf53Uwmv3hfvnD9EACGXJaE0kez+gbsP9a5km681ffvMnJg9SNwuz+gtU8FWPEDPeqqNXF2sDyWa20w3qC4yVnzDNEdIfvBHoE5fBqXMFgTCDqJqJiwOrq5W9ustXupiLT3CDBWSY4yo1zwnMDMyuhSUtfbN1vEm2vb+WUkWFJXUtAWcSl1f9ryYUZ9hqk9vX5ZXXxW6LPHNeC61HMw6z9lBxvVd9977uVyswPSUeQaZNREU7kPN91fytMGlXe1neG6xmEXpGiO0wKZ2v93aVqVvj4zzFtENWNYMOksqStcSM7U9caY1hP/vjLCSnUT0P/07STofPZ0eX5F/4VOnu9m/mFZb1n1p3ffUSbn9XZSiE2QvYu6wo8y0yr4/PFmj2TS1I06T35ZByzPXo9H503z/UTsyI3JTx2eqZSz8WDkc1oSrgI7gZKCM7gY1QiOAwxFKpAwVXxbU2QI6P/Vl6PES14NHY6Bz8VV77zAwdWUljgncw4IMDwLf4ctbFvMvICTzPTJd7or0gRM1bQxmxFhx5ECp+y7KXE6Hzs4IgOZC8qjSdp/HY57nSCXmZwfiAaguJt9IWyRbNTYtoLhPwLb9yZpMZfB7XR4Vf8VUiSlxK9w1H/nqLuoEn3HMk5z5xTK3qnZUqTHQBWLtAXZ2pxD7F6gjp4NFa7QHeYqZQIIWlb7mM0LpLysnqKn3NyCX1k2R9nJIabcRCTCwvFVinokzomIhh2e1sdXkEd3g2eq1nJOkQ7xUpc5c7DDWz+g6oO7bmkPt5SWUiMoLwYLrUwJ/gacQwtzGiKksDmVlDiPa5gaHcrD+wcVWEx3TkWHl6zxa9eFokZYuAbdmt79ocx2q/HXBOIodFiCLVctdaEgr9yn2YtBWSzcIXfshkYkA7T3Q1BZj1M89eipuWrXijCN9vBvhs3kFs/uxe40jEbfp1Q1YAZe6976GL7lWzZ/0rn/YFS8HMqFc/tWh4qv4mkjVl+4rvYT7Y9yZf3FNKkzDrzZq7BZOt8GHelX1gDTkqi/RSjSqodzXxlNtqJgkWAZhVcSjYIR4lOhEnGRXl9mpJO4iAfMv2N6R6Og7gdpC85rzAJNMBBLUZM9tJKdlyz2Z3ycIZt2vn+jDJnsI+osTwei0HBaJHjOOhIkNcNBtZeoa9QMu50i5BJIIai7OWxvqUKj4X9J0PN0/W+qHBdMKddjf3wXooKTVxtwfr6JX2+WkKCP8zHT1NJxfouG7EzmEdL4zdK6D6qL8g8Dn7JeNip9FdSH5ei/yQf+zWnctb4KQKGY0g0srrxjaIFpbT1uRmZT4zaPFOgOaxMV+Vm8bZZLcm1t9+TRoCc0RR1qDLAafiFkb12TmWSQxVZR9sWm3m8KEw/Ma2l40KPO66+fK/ZtL1OoDNnejWybFvfm0C3FnlvxXZMvI+zyuaRrtOWyLlpcn+jqZ7MQr4Cv3X+9FiOMrxW36fS9Vdj5iTDRe41O3wGKWBYy8c+NOm3jv6nB6+h8wmGc2JpPdArTfVOfjHDVh4wnC+Lajr3SWb3bLz6j7li5za0b0hVExGIRY9ge/3kaBZOuoezz6j6DuZx29aT2w94Bs9ZncbadDNjwyL1CWZTHSLBqZGe7/Z+P17Xwgn1OLWL4fw0wwkIiX4RR2n79e/i54s9yQQpMxf4iSHagmGEj4Y1IYcmVkBTwGGnKdy9g1imV8ceKCzD3spkONH3tAo/L6StEVakap/gdoRQ5s14mCbaNVNziOjenYIbSZHoTxKyjFpgSXQ/RWpvjEE3TOcrHt5oNiptkYTTGOhGm6vb1j4xFn90yRVuSB4bmUByROtMlQYJTTU0NN79nDK6dr7T5/rfKIPMNqwy3sPwTX4oI//ptfRIrcdeFrAf77SdbtkxrJJr/783dkBx+V3D1jnajyXYj16LF2D/EGXq39EnXlbAcPS16LeFLjJz+Fn1pVhc3svX2baZ536DTHZ4uffqOgxb8d+VvLhnRoBWExAiOtuoW+jgh0BThTibzgQDz4bo9HLLe74PMO1nIrpAgzEx3skA53ssFAjGDBHQBnzeTZHeYTvGBVqtj6EpOFNhySy5cjxJh79Vdf6LS3QA+CnumOBQowQ+UNeBYfQmi5dzUX/W5gejVZ+5OmeDqeweZyEiiUqHh4bd7+yYDtaRmPPQemyOOp/H3s0iMzdJG2J48uJB3ECATUw8m8rNqJOknkZcJ9vFWulsQjcS9WAJbLhFmdfqYc4qaTy54afEX/hLfnxP+OlOsJ5vd0z29iIUPecD5M3v34TAnkFZr8zfftxPkcC/yOXDiRv+FUjsxTSoX5h1UGCNi0OSjnwGJhupgkIL7tysnM/5AWFvbrBLtpcfiHWOWa/cZW0Luete9g0is78zpeMY4OiZYKr0/3A6BCKEzRxz52152hjmCTnjSaohqGR11BncPq7DA4fLHNkULrMBUDCyglGlrBpTZnN5oxMipuINFDZBT7c40Wp/SEDnBe2Z4UvGsFVZJtlhWU1Pflah5PJy4oAWeiB5SDOHmk4BMyQTFlA1iUTTAUnzshT9nxn+ok4ralNJ9JXSucG0H8TeKB6OuMSaRCiS8IP41FST6ZPmk2vqeNltAtn3EWH+vHFKK0Z0Sv85yE3/Uowx8kaG08NoPePwTASnrw43JiQO5AeSL14k5+30Zaq03r/+XmT6XalgNGGvb0Tc/fc5VpN8P2uEC73TofE7ufT+RLc1VabVcA7naXpuCS/Ps64bOzrI9BaAMuui71AYOPlXJ5xhPQRpMEJ6YFmXy9TForND0SmiJ5+sYQ8VX6zyccveJ99jyrr/SN8QejITUIzSS5saiPlA+frB2dU+b23tmZ9ptg5tXie75yjmimabR52CdjzP8DNgApoWQhjYgX93dwjFHnALRIYmtMaK6Su+rvNmWYl6fv8YDbNa2HaTfjvVg2crNMp8Vpwe6FJl/Y/IWQWFsRNsEmTbjVqB9x3V1JAUGrNWfoAOHqLXx4tgjlbkXEdEO5YuIC4WlktDgiyDJXA944W6Fy7zYOlmP/NhZRjkXo8aYMSMvm4B4KIu5Ulo8Vgh0wHcHmRZJtUQ/Brs/RURMKh7DfeI5iFpuASNhIKmPl6weTa9nRnrW1G2uKKl1d96k9Xub8PBiuepBoUJPZUBTSClh8msscOWaJCKaif0THwY8af/CfTkLiryYb78D3xVOse0mW+TPNFHOzQqMo4G7AKblKN/VDkNzdyI9BXw+GuIF1f4K5s3TeBx4fgjGOlKpqUBQVdHX6E0LxLyk94IHks624FoO4PBXwToTM8dt7c3KLHfZcadYB2m4UXiwijtpI+EiTDiJic2gyIzDDnSM68D+6bk5JoQZSWHCMxWOWy4juHkBOyZxPUiI+NFGv+0otxQGT2iqH+tr8Q/mXVYdAEqDOrXXMIbkshqSGzjVHHpQpAoByRddDAxprWluu51EHxBE/uoHaAohtmtvweNlTpdVvP7tG/jjKAirqrhAMfhJc4YZlYjiBDanKjvi7Mtq7p3uG7dA+DOCwtyljsea4NVHvTnRy929Xqq1BmcU7f1kIju2eyk8Y0aV5+gpBM/Fn8oceGC6qLe0WUVCyWHLTe4XuQ0c8/+XTNSb04a5ZQYCXpHdzsAnVCgloVpN3XT5+twUs26zhQDsTy4tvHdzV+d+XE8+zc7W/wBV/311KTv5XyMhcQ4mYtW2tl9mGMm+1ZHewW20TaaIgEji0SAaUZQifLyhcJdsulWEh0HLgm0f3tPWIPMq6M8MxRSQy+lBPG6sYHZuUnR9j1HAhFG5mSrLuuRIdiJLx5jFZOoZVSwrsajyvJgS4wecVVvm1rkWVVvm5joc56vTM+aKd21rA/y84CQqFVxt9I1QDOpekSk+cM5syhjLfNAg2k6WHN1JowlLJeg5SabjQnffD9vpWa72XKaVwsJxEwL3mBDDWjLKppVbmTP3APbAYjir57eu7iApUQhBr3GnKIqLsqOTVmZCxnbE7N/j1+b4BIXz+uj77r45NAr/nAw/5KOqG5oBcbndd7+AckEMAEVrREMYXrMUu9OU1YtFYCm48a3gAVp0tE+fEw0ZtMnZl/d+dnbiV9c5+snL3Oma/xxuM7e0PK4YoZImRTGhSQziMT3Woo/GD+pM2jqQzJX0cRTOsLRApl5t/9LrPRfjWm5UNyapvpYOZM2MIFKAr516vqR+XeU6HuVjHodSuWXPk5RSPTMYAJCpbyglgdccjpfyztZFzLXq3pjOLhXW/zgxk2M/WINzQljhxnBM//zpix9uOpWKuzXVgpa70k1sBN6gyrFWCNUhVHdSpBY+I3z1vMH2ThNVzYaWa56o9Jp75M1Sotw+c7gZzIls4JcE3PdyaSNdZxLTJGZeY7oKLvEODOJC6blJEO6tgf5sg/Bs3Szu+OONs6+qd3R4MzdDls6lPmf5WAPUHv6vfDpIXj1NWsrrZON5Y59llvup2P7n4ao3MPWtL5aJpEwGN1lOOeFuzNB8jPoK+EdAcXOEH9GCNA7smp3GYyBnnIc339Qw8sE+Pu972K6+5y0Pk8fBoUeL5Hvp0+qng/CrUhq6Z//GdlGL/rQE4wGh7mEIcXqJkp5JGd03O/9/a1TFkp3ly1D+Dg88t6BdX0Z8OX1jY39I71z4h5/2dnktQ/e3q9i/PSeiVnvfi60PqD+Tpla3c6CZ/clSmz8BRjYmzQyDopTo2/Uc8m/nBc/hyU6vXIvbwpMgreUNRc7aFNlYQaz4Wgoa3ssz5Ezto+xAOZeY5oH5wrAyKJA3FtR6OfTnbibMNcmHfaOF957fZZVkchkPa+zf1s0zpSJ3cSiPxEtlOObraQIq6yK755Yr61N7IyXvaf2rkd2FhUqfyunqaA5Hk4SXOdk8+/T3is+HnSw7Ixptxc5dfrC+Iw7bZ0W2XXMI9l/Ba6BBWfHzQNOofaF4Dqj7GKU14d4wwXxJQV1A9V3PPMesHmQJR7gbdwQkB5hhTeYj3V9Tw/4e39inFTN93Lf5pv8wP2pX+v7KdiWKEtSfnEc5EDhHhjxMqp9xji4VHLd2V8d18Zylhg9Nxb5RTh4yQ+uzP9yMpn6ArXSER93c8bLG2Mz8RIS6MhociLu1qzKMewMLw43xeibKJ50xW4IXrynOfRLF00IiINQ7oq3ISl364rFOTrB8DQ3+CvvyokKthaYEOdojJwSLMZxhvbKn5XOfERZ0hb+29Hut1DZFst65NmlXm+CQPZN5bX3Kg+HNINRXRTjFkmvaDQNwMxFfohPOJuBLvWtqdzOMi87i18/vnLzNUTPSINxdWaRia/qsMengn/TveKWRHTtQ9KgxLKKQRSVqigblswMPE0vV3y/vYtmmnBeVbJFwqA0UQab2oyr9lvSJILkGF0L9eNy3Gzn05zO6Xn77m8m4xRBy+6mcnGSVPIGKM+jOP3KdL9yjweLtaIr2KPHudlxd48uDWA9gp1i40khGE4AkJ/ut3NEPY2dn+dxzhvq7nNFd7zmfXv/c6JMt6GvXpFLMMeSJV0m+3m4jrXJ2e5ndlkGAuhbCQtmsS3PwL9fU0HWUAIkpyzc8hRC8nwhrON4oivbj9LYp4zFA4wyKoyrivI6NgzxoE0VfwoRTt4b9mUeZbZmvUqEXKH5jb04/Cq18hPtqoVB7MRhI4W7ERs4e9rQmzEfSLIQPM7v2CQQL+zrFGZWLOx3RdEIYIN8qBmocW/OaiSn/xQ1AvQE51ClEQNnasGZ9o4zXA0XThzoS+hM1RQZzuP4jaY7Hm53PziZravK1Id3chU2F5lVedEcVGpdng6updfOR/tbNjI5JlU5kShkDj9k0ztMpah30VQe7wJUmP7uWomYSVKzREzkJK10du2pHhXNxlzREgPOMtuxMkOnvzUuc/BxrwTwrEjxJpJV9MfQ2QSNumMgdBspGwwZmmN++l8q79LIc3/+pvhfNO47Kvz74hFq1r2Nhg7G9YufdcIf1Oq1xrjUQQ0PkuucgOdC5q6Oe5vHNPnhjfezUe3RmU9MOUePZxQk5pyr+HljLZkyOWkyULR0YyuQtskN8oslwtoa/5W4OromI4nPlB+jO4Ts3hxYaOZvkPl3RsbCzAYSsy4w71Y8sfMuu4vurhbJmcI7pSaP4q+TnpEEGdVIiJrjJU6X3hDjv4MopdWaxaXzn7z7fndmOWarqhZzEu2tpKJqdeSQVwp54gKkU+2mrKS54vsKGgcfUyZA/xo2isdEj6THeyZlb6NyC1RbrJ9nZq4i/Jom/gZUuP999i5iyZ0zscMnFSWYhah0MRrNSrX9UU1/O4SNA5uHq15QmqfPrcfCXinN8WqitMDESLhJU7wzVW9tCe1CFeKmIR91tvWrz5T3X3y/aMOwr3oXyjvpQmUvbbGzISgUeVqPiTeQ1bbtMo2aOO5KTf1FLkQN6khpeG38Sl3RhOCFlVD+qmlyNpZrJy60aR/gea68R43R8WZj4x/ihF/EDbXL72qCrfKK9EgL+kVLv5iEhR/+TTzxNHuJeZ0F0SH4FQ+YsWHq+17TlCvvfJZRYl7vlmU1fqZ55UXzS8vqFMqtWhMV3VpIKdm+o6jLxbO2RNgCSVPANbH61Tpnm1wq7u64Dy79q1RRZwoT+9zKsPJqapCP+2WjVIm2Xnz1S1Splj6QMtv6GOFLWVwn1FdsuOORqkMuTYPFKPFHw043om2j0rT4bzNGxJW01HZDL8vUYXiDs4cz+SyVBvSU9UGZKytl5yowZU3qaJvrlEk+sGEFK5ZUbnETYU+58yye1WgN457GsBlWjwo/eoL4833jQXUYnDr9oz13t578X4UPj63csJl3bfK/iJH2FBpTIKCAetVUDXSJnvQW7bOlTOg0L5AyvUxcwHc7xwCAyZWEiHE6kL7RvQUwNdEGZVmZpBQzADadsLZE+hZ4hRnb4jX92rvlzr3u47BO6erJbGgf9Hf2vEbPfRPvpNH3uYQIf/LpsRXznt8Ni8Ca6AHDudYhxH4sC1QXB38mtdA8saJQFDDR99O//F9b8iB/0SPZUJsizDk5g4H5Vl3amLlyuldmk2uhSDlhgptCr0xsNuyvEn95KCObvDuf0mZoTKwLsc7G/DuT2y4m2kUnnz4bfAY9D2CYRdbmGMrAT8p6ZpA2L3FiM2X/5hRcS4OLFCm4i4gN2zJZb6IleDc9ymYfLsXTuS++YPCNPssO2+7HynCSq4SNPlYruydzMPX2cjhGkdNezhXqbU776F2jf7amOJz2bU0oNb0Wv8VtwEs/02yfTR24YXa6J4dCFt2mWElCMc55Ns29KfizrMZmOlFQ/R2hRvbJFhuYgC0xSGkHbEUflN9ZzLsc3FFmaobFqbawzOxk5Hz+hQ1SE44HZ/TqPEHmziOIP0iBwnmwHtzlc0Maxo2g+6QCV5OGoawwP617cdIwEnOCA7g2mhlPgR8Y0AInPTHZEbaCYCuFNdJGz1BOjgZ7T1zDofsrcxuLkNhRvfVV/M1/bWOVJ4SlMimejc+WNbad6dws+ebU/k39Sp4sfL0t6RqLnqiBiCz4RisPbfUAllCMBG38pLyy8joSfkqzI+Gw0ngD0coLdTpSbyDTjVB+qrGZCrY+ORFdfNrPtWM2ny/BXpTaKHGyzypY2FYkM5Y+OwsdU+pqiK4C719Z/6e1vwH9n3bbxkUC9P7JgrfVoZtN0947dd3r/3sVMv6qbuddZdET5fCZ6N/UI8PAYiYNuirtvzMLTNSyqXiwikqYyaGkBQ3N5KU1NkCXEfIXNRULG/T4ZOq2DsVGnbX9RGbY8QCEEX59JfDBLMLqcKHIQK9Ru2Nf2O2Lersc6vJOsFFjI1+4plokFi9ghHGNdiqycTbLfHiHf9mUKV9A2/Q3H1bjpfv53HOl/q3yMJXqfVt494F3jebhU50nvfpqQ62O73QHahJSqPsfHGEBbz9zT1Vi32piJM9bO2EU9pbqgbymjOlvyRn076Iu1zdk1PldRGv/4Ollm/dHnYcV/Ls7po6dDW+BYZrUDd+7Rq10VntcLO1Lt8LvAF13DBhhrp86dGz072/qReUGVN+7U0R61vMDjvVP+T7YQ0xDAr20VHag6l1VL9RCUf/oak3WkZctEqxhVm/xjIK+Cv5ATXMVpVAeHG3knvWsaa5Rybc0RZI1bBCGSQXfqDgcLMiv7ebJeQzrRifrZPei41l6jw3uLP4Y/BsPQkRxSvSInokKkdhjL+zjJde+U47AZPqqzOuJwW7anCrNWQXJZ0RQl0guXVLbl6ikPCHMxY2S+KLXFfudbuwLruTbBn5rJ87cgKzNqpENE5QawRyii49jUlcgjaTiSPdm4pJqKSY5ilhas9rGituaBOrUmfgFcreAnO8rzjLtrSa4FhjxIOzZexJt5cXEMGGUOBWzMKlbkOGHhj005aXFg79mcyZCVn6kbKoA7uCjzCKeyU1yBxDRFXzE/4OtjewXeXys29sP1sVy6L3/zfrAS0X8q045x8yECj31wu2+6nZho1hIGtkuWkdiLOQasnlIpY8CRgS5DUVvScKZOhFMA7IaniTtmwFG9NHY6QcLSEO5mKrwdUfRuHnCIstmYUXTU+EuWvXjCJp1+P5acKpPKDMzJW/ofRsedXIJC/+ArTiLrZeYPsnSkk/RmMDQzFi1vZFRzhRFi2kr35aPtRcwdJQ5eyQpClWoplUuYO+fVNIG+jwLnKoP0yaJso1Kehe98WAdtX4e2GihOKDxRheoqPpuQ3JmjsiRMOH1T7pU4sp3sk/CuD1iM+1Ak+/+p9VLh9dPTvruwKrU+FVzCeiXGT639bgTZbRpVRWJ2WxkS+4dddZVFlId2nRRzBXb4Sdqnpv8PukfRNI5kRmuRo2bMvNMymNbtxL0yLdwXKAdbDRurjnHpcbr5k73Rd99aazlo/vrRNI2aM/uDPe+8+hvT7IOn5G0xwfam5U1pX1feTIkms37LPFKuVthQ1f8QivP4EUI4C0dOQ8NSFDSQW55um/B+4k79nN3rL0DQoJEK5l4ejcviB1ji5g+2AF+ueeYJpf5WYCE9kwEvjt697zYNP0TImCDrf+a3it0eK5F+KsdMepGCy9i9QCWl5cB5/v/ngYwV085bPAU47A4/D7DY52p/Vy1Df9wFz0dTh47PJJObJWCBm1LdGRPfHzpbd3iLSU0Nf9O4GQA2/6DwCM9Ah1CuHCT9yHwbNdAFOGcRjvO1zhD3g2odubeciLM5lwfhwOwV8SHw3vwQ/rJOX0gZxgJVHAby5O72LeIhFmQEe6cGe8L3cWkwrTu/TfvOoltxR0jtG65qmFt7+tSQcRy1P2s0eTcpMkmq9P0o2OSffTNKhLHrr4y12SuvdI3+HLFyFpxf36VNhDfOrcqIVlleOZPbOPLdonrwrczVPjhJ446ZQ3j4tnSeW9XYVwPIoP+tJ/9WTM7avy4Kahr5e+nw3it1JtXN+nZY00kho1Hr0o0bC9rk2cWTqV6e8uIafrvOD7CkVijX+r+V+LjGdJ4xKuD6eX1i2Xzb9z+UaNifihOaNHG+HmzJKjrQuKy8BOcdul3c2WALHx7KPKGzqy4Kt+ooScmkA4+ih8dGE0/zKsRPDNu9nTZocnVJ4jSvd6eFaPMSVURRLfQyPpGqOnWMJ4OLIImsrp8zqIM9uiyH3+0l1q/bbP33gkdLSqI8mKxfOmRuBhmNzc65meZ9fZpLf4XIjYCDyDrXMoHZvFrMixUT91qowdNH2Wrv+wA1znxjhcYT84fySdRixfFcLAadc+kWeFmG4wH76jw02YaT0pj8TTNf1WuIzy9CjOFjiK1O4r/YgRyUQhSY0rz+/7uo10x1C9GGf/fCKmeuMlIl1oilruDQUazPnSNfwybtv+fiuSVeXEVYNQmSGz4L7F4lJ/F8KbD4erzj3/o3/MO5sOtYskFXIZOh9vZnULFHdc8bQbhhOhV7zUPIrM+kpuMRWo7tGuzr52IiLoqB1unaDAUraxmirr1+4/aiNROmws/ZaPiLurptaLATOUba2q5cTQABoVdx/iWtNMpHGZ8s0jpl+R37SZc7p1GJiUgtfQ9QKUAPPb+3YY/QfoNvDfSHcRc/FB6TBi6eF93RTfw91e+SN6LzqVvhxkfZJI60rJhTWhm5N4vYzaeG9K7A4EPUrXP6fziBZvKvMZrfDqCB+Vso+hKmEdKRJqZIsrhieo7p/XRzHxLcLQp0RYaT45KF4/uSz6TX34WM4etEVOeuRdVgNL80uk6p/KdSQX0oJ3NaQL9x0BJIzR4Y1XEpZ/EaLu0uA9WPcER8HzRxMpGZfLpKM8JjBAXfPWmeMz76AcwjBI/gKoceSXRFcSljZxPPFtscupF55CYVf7tD4j+d8S+8zGfvsX016DnYz1LJMC7KdW6cEF7H3JHYNVK7uA9xnT28TrEG3Rpds8J6czOMdnHlytH+mnQzvhroZo+/pIZ9Aturv0/YQ7Wp7ui4Gp4faPTYlyC49KvZOI2ZZZxU4sjUFK+vhoqFqew4aLsrFx7jXdYDBWyQ7/PFJLRSif35lE8SwjeCK3cujsvPpx2A0+MbpqZTQK/vilvBSGyVqNgWK8Os0SKicTDJh9ObmFh46x+cm26yIP8gYqbTkpI7rsuLpbNdLVkaHHXxX8gbq3yk6uKL5v+b3NUh33DT6pMLscwMWr00Yv4wCi6Tikms0R1lwkH3fl++MWdP+PBUXI/n3rAXPmGe+/bI/Z55IN2HX06iSZGCW/MCS3wbxxRZehhQSBSJm0kw6kSG6pB+jT4c9Qf5SchCHZkLE7ZCDiCT3z3+LLHl0It/CeLo2A85DCfLIr8fxMOb8bll9i0SMbcQK15KnNWKMyLPTBKFJvcrZOcUeVU1RXSesnmWm+2rcg487JR0suvvg75aQpqzx6TJdGhVdhM+SjSH1z3Efs3vxrX5qiYgUii+RM0lE8bEMVfwh92/38UeS+CdLe18ZOWftV5HzPEgncnfZhpV6SN0WZkG32uFOvbfsrB+gok0WyXMWLPtOsQ+vVnV8Qjv88JlipL+Brhqo3z0sYFjpoIOS0H6zMja1g1CkKKFKP64M436MN0ax74Q9m91uQWqYvsYlyJPxPUejF/54tH2WtGaj5sSlf0HaA9ruKyp2OdlQj4N0nXvnuyFpVl33Hil7Rs/iyjWw5dtxvGbjrN0Xx/PvJqZqpHQmtlbc+g2uOmJ9CZuFEcCcfRbOfmq1bk10DNw6YHz8Aw4yoU0JijDffgB5x1QrSr3Gg9EHcHiKJpzRFy7mTnQ6+Iu1lZnHr7k32icra4uLhNkW8XdTnq5ks2LljWTxvKbNyQEPAXHvah24zGTAt9XaKbvDNLJOGVsnEUD7SfjDtcW/bCto2Eite4tVkS32VJDpDGP8m4VIVZGXIVtZAXWBOEUUEb2aLsOquFVtaT7yaSkqxjD/Sp8xUqeuKFPK9iuCcYjoBiFHTOT8ZnaZVhCQ5EFuf1qVJBcL5+VRdxElYPlCrnFZV/+vp/eEFrMr3whvmx0TnLyWd8D3Q4jDIo8KBLDwecVA6k0PCbGNzOwPUz5NfCzHqdk7bhjMGdKXyjyLaghLJx/Iz+CCgdGKtp79XiiPZHiffqFFQoazS7G6Tpj9tGimOJBpX1JyTCoUAQG7X+FSUkT64jTNxNPzdJLU624TqpKJLW1L1mJgAQFAYkRzqfgH2Vor3R7bJ5iym2St26qt+QDw9zA6+Ho19h2NFaixRHbn05ATfhVxn2Ydc96SFGfWoCnAjU5huSOq3hj/Z6+zovqHGBC6JZkHGzq1XVbnPHL/FGfIEpFpZToBcZv37tpgIJzWq+MvnM8Jduer0J1GjDkJ7sdjeqTMSoEO0xeDJcVW3xrXlOSUkBNB5MXQDN8Za/MvPDAzV3X3Xw9GCHhfSTq8K6alL4wY/UBO4FN15gY0zs4oDb3ieFZ0f45RcaOUC11292h+HHQzut43BjWxqofFjUYqJCJDiN/Emqjy7NEmUtsa7b4ayiqGXIId689+nm0L9s90bIqgOP2M8BWSxrCL6UBwlCyFcrjLt4T9G/kPSPR/sDEKvuoqL16GOK1Fom+kIVB3XcIfzigCGmzJ1J1pnjGw5pAmEvlHRXdybevbI3MI/uzHAzjpDf1EDk0pAg2xNIm0Cn1siewB8bRsYIBcakDpr2taDE4u2eBCj0dktKRjK/8bxCqtM5VTQDqjBmzmLdfN1MggYmNSrn0pyTwfCIvxWU40c4HASrRWPSp/dPV6G8j3r4Dr5PPt3AKMWcyDhoYeD+eL1C8ffHvv/ZBSwPMuqTnnpckFAlC72sgES6aEb1zZ6XjdErSuez2FvcvGtCoy2q82x4lIxa5xRaysrzFjooBTHSAmT3XwntU14xrkhPCxHn+nnDW/jVqiyJxtYORodSlPMZ2qsISpP751WOtkvqIColCINdZBUpL6/KrLraG1IknTgb/lDlTfT3t/QLDWiZnZfcSOKzHVDqlsU0V9mV8qkpUyINi6MF6iVOSS8CH9ocavFfwga1UgsiCXT6KuvqiyTSwJK/v4c5Y84ibvrjrcn0omScf5A6urY4GX+oiWPHHVatXe2q9K3/8nFl4g+eAOzNdOCZK7m5BCcG2toMzAo3lnLiU0VOcMu1v3z8cH+fFSaXEUMXbdrwK/w2mQ+pLhegNVVerwtyBSa/jHFkAbfccfB2OnY3lOqOMHFsju+CG8fy4mYFsQxjOfQTrLMF3tNhcU1+5SwFmNR1FXvqx+2BlpGbIBcXpgi/mCgdW2X7tAuDNoPmSJS9bjMzWgMfkcWTenWU2JaFdUWXiJV+ASU2gs59Ks7lBTKWGppzmzIpn+bLq8Q9OxxsmPnnSExQ9i2rGpu6CKxNBvJL49KMZE2nueCKChZuOIQ377oyM+Se1YuzY6l5ze7x04xOxLLfxaDhBLWsq2eWqIlRjvExFRJEl6/n6hpkM/iOTolw8yoM+9MPrGpXzsQQxeV2lLklgBuNu6zzqmIRaKppUlwND76/dLHFsZ04eVoyeTeWem/6LQzlteo7Re4xPufiG2nmkxx9Lvum7k1zIUrkmoe4DvkvGyTX1OWwMCrqcm9K3FdF1apmIHbaBbHAot7L5LpQisun2g2VgoZxTJHOaDoyfUakuo5/2Lc8exr3MlK/EacgcyIaa1pwcTEEdLg+N+jXC5wVTV/oqrah1W8wa+/rTL1bxJQJuRs9DCODEjmq6C64jT8gZyhwTe638LLiqYapxmXuw6+rtOixE2XbeCXaGUffRv7IQ3c1saWppKmbzBSz2r4MT9XYfib1LQt9WvHQO0VbpGbsb8jRPD+IKRx8S4/0A1HkqzEZ5RNuY0HLNPBtmsa+mbLsOBCeftGYqQN0lklfrUR9jo3wLbltui96scazhNgwqvyAHONsi45Gwn2Ak25Asc8QhS9mBTcU3ygZBDjFVqqn15mZGF06ZSSylYJry8zAzT/InvR2OZNmoUKJ4BtVdmFi0cD0XCznT3wGglpBN7FCOXHLLvEHsz+IMbaELLrMvyIFBvcPjvMq2Mo+6Irz9kERXC3aFNh1IIOMBBfNXUL7qtGqBsA7IuDdMaiX9V70+dnpSBPlJNPgrL2o2dcAXCYTsJd4S7Iclyv5QRAXbauoxzC17nYHbuJwpu/82CuIsWdZGKViNv8F3wSLbjNCT8y2UwhIvTTVo9S6Uu0SX/SFn+dJba4mxqx6zHZ9paLn9ayyufLrQLUY0T0MnVi4uHcfpi22OpHuO5Gwi0tZx2nPQ5u4LspwUAN5+h54q6v2ZqheZ61rsrqxKliAzQm9INe56uPkUceXwuMrYWZl/b4rrvf9iLFot+qlYtYLuxkbEJr1zNFzkfWQz1mh6hY1EYdaMGXfQNbTbMQfmNMKCwe1+A0z8DwPg34DhunxUIdnwLMzwNQ9Ay9yXuqz2GMHOLHGOsBDSixv/1tVT2Twd/T5Dfyemw4EiY1xKstqV0DOkxZKo5nbwXBYd6jqlMsacCis3Yq+j4BjaVMgR1aHBBcKFmkSLmInit0Y9MAhuK9yprRHeJIPsV6w9hU7XCMe2r89Ri9Hb1uoMVP35CszB1KKw/NYKX1Cyo4Mnrj3Sw0xsUgTeg2knCLKbjoE9kQXhIrEuqCG0iw2z6EwnoO3SfP2v/bgsp7JuLOC7iS7fCsH6gjMlUiIeYIwZEcojMRC9Gq4k102v0y34958/ydG7SEF/itxOq5mzTquurngp3skAIQoMpZCeLV3nKN9SF+Zz+NEgsf9wO8QkHC6OpzcP0x5cK7pgCS0JBTsJMNyLAOnTrSeZ0GWF9qpSVa7V/pIXQsWcKpR2xqXsWyMXJI7Gt6MMi/ZkAxGkbLCsGnr5RV9olhixbN2Mu5XYPixxrgqA8RrVTSNmgOYjiOA482SyD4kkFBVYez7aJH1uAhVdXHAcOf5H/DXhTPei1rglMcwWhBT7Mmi+Rdi7yaU6HByOhEpf/WtLZu6HsuPkp3MJHE8KDtQ4DDSvUFImT3wO6A9+vuffcPoiPZryfegFxXmDiXkD4zApfeeCplGZbrCFggmzMAVHt5WCd2olRkV1m/FkOWXplcYomu2hejxId3jgpTox2FlxrvR6ZhxQxsKG8m8ebeiBUD+qnysbNPkIGaKy6V1vBG0bPt6CFRkRvLiZmh8iyqGZA9QPVgD8bmJJwDm0s38L06Sw7j3KBtlzt0+ds7Zu3ieHhg06fI9Q37Avq/haOzRUyN/aDi65b4cF6vkbrr8rsp3FNoffYei74VwHsOQvw8gEwzhrtf+dMSifZ+niKEFXydLveA6m/+8rR6x/a++uYm9rqvpQY5ffml7sY5guLFFvYTq8I510TP4Kh00GajKezrl4bP3roN3n0p9A+vTqteaOt0YHFG6q6uAj/bfq9F1fxnZhP+l1/WPNUVZF5+DXmnvZ+GnF/+mHrs2+TGmRuEcIB1TEilGXXybxchaHmXPktilMNoaDznX/7e5VPj13zgoZE2FkRt5J5f2at10cBcJP/ihsG/5mypXzcDC86hQlaBGu01no6e1gRHN6vq1F5ygjiqnOSnKG54FwoftdhjCzznw6pOMGeUPzHCWJLdlMhCXCQyaGHVCMowT78VipGY1dgoOSy3+3LNSTCC6MQJhoywTUmXXMxU4Xd/jJ6LZdp9ads/sjFbpAQal7xd2R/grfcsM87nl+ZP6A2+iOEzjGyg44vrOsdwel419ApIDR4qij3RRlkqihL41OgLqXFKGwLGnn/2L3CwtbcH7eOONonLE/otiQPV/0KbaDISmmIi0koVliZKtMxuw8uHQbvin4tpw+4jsFBFX4k45NF+RMx6wvyYxw0UWF2+/jlQw2RXcJ4BlljEpY3nD47INVqS29cIWEm2dUr6ERkfPV35amB6VOxgaz0k9l2a9c1bfQGTtvstEwUtPSQ9Bjorm+SB2WOittrqU6bBXPzBce+XM1JIfcqz5gwaz4yaK51PvWXE3XuEG1aPGGSCEZ1A0T9LDZJrRf69fR2GUj7rawgXfv26uqsmHbswladk2sgI9oZSLe5SxqNFGgBWL+K2AB5Qp2AXIcmsNxkMMNXjI9JjUvkc5iWmLIx3XLpQ4k3DUj9UmJgnK/liOp8NcTptuidaB0tRNsOV8sLdYP1E2mkoby+9MVnc4uyCG3adcO5jyJMfO5EeXrviLG9rPhkDEH/6vxPmKNnhFb80o/GJKHHWyGqwgWVJsZ5kYHVJfGRdb6l5vlSU/PrLVn37pk36mue9ctdxZ4CzTDMq5YXT8hTfMh8C7DyWct/BV2TyecXKPEMd1PZ6M6IJPPvbGZKbMq/h0q6Mv5pUYyyP9I1fGpXPWmoh+jBJxqVZXfM7JLvaIGLd6X8Ko80OwCmXvXhuMzaSBJG4GbJtj+tKS7+wr8rEnfPZthBW8jie94g42alut515X4vopNcaqc+Z/K5uPaXGClsYwcM7aG0HbQRR9ZOLpCejyoxGwhlTrUel3ZD5mg1eisEw9vpN2IW/6f2dC2y2M0xC9yyiIiPZOTSfv0D0x79d/pjf16eL4UIKr2dvlNBhJ9Orj+DvGk1UAeY74Jt2GWLo4zjQtjwCDG2F3jehKEYRweBdgwtapU42r3pvq+n6arptezneBT2nX662YpH4vM3scBjnVHkCX9mQ30zR2j4P7KV+YwVbJp2ZHrkPcXLk3rNPoN8fWIaq2IF7T4Rxo5hpBTV8umoglP7hwExlznWGlzqFg6O7JHYVEpn4O7gYXXc6AOsjbB86UZufWI/k0A6DU963+st3gL3G/Dk8Z51KCSpS2yEPeBQTO3QOIfT8wILAjzSKvoPX4CM0zXOPXoJ2hYdyw9i858NG2TiZ/ZT62tUueAoSz5tL2SHI997eBlevKuhNxDo+/zomuf7k9Hmnv5Kp5f72SnsAluj+rTiLszsfMiPT0Tpx2e9OMnBuZrCnPYeoLvr5vfbSDkwLD9YRoK7IYlxU6gnrRrm7xks+ApWMip8AwaS6mJyQrydqJngJTjXNgUo1Pg6t1Tdzfe5QYyRF18dzI5E9MhaklLleXEbe2K+srMBn6mj2njbCEDhKaamGujaO51WVFnxkSvTLf4VeEXAQIhh2vGs5WQNoxKJ4JJgEZBbHvWxeBNiXaYTGbnmjMJDC9aNRNPKGS8kYU5ldCz/zGn3BRV6F4MO5P68zmUXQ6JV4rFKy8NI0Ke4OmL3WRKX0uZohPs5lHoWWbOUgzBCldfhPf6W7u2/NiFPh1pI/xaLmp9MpsV0WHdjRtkL3ZJwAdDuyOAIU+jveP+K60wZdopP3FNbjydv94byGsLFR2khUGejs4c/Y3UeHonuzW0ahShJEkf1FN73DZXyJ1jr5K81HGZF3IAusUfpIHudNAni3gOQMu0NLfBeTbKZHlmlFNJ0CjHSg73z0XHTDM+eNiwbhsXKAhj9U46cR5YIyDrxcuiYSbUJQuHUIQrk06Sjgsnh0LCkrUGaNHu+NIZQiJE6bjxhfgFy0MFipJ7YSPkQ6nVWCBv2LywlFD2Va2k3LDfSjF6rbq2wZcWf3rIe8L50CPfqFuTfMS33i0rgPmqjhcVRsFkTqL5gJk1bc1l899RUagdgJlrQvjTpUWyANVY8qdxHcjTDiBI/8CM4qtMqJFxWJCPJAD0Zs/Rmfhf+LAO86u9Z7bWCRcjVU1D2+XFEQc/0peaRiVHYKFOidEKk5tijJELN+S6kzVeLpYl6IWZwsa4SHAwjD0llttD/j0ExqIzJ+h7yrwt0ULAsYUGNgc1VZbNotAfI8VzvWhuIn8NI60vWibxHJA9DQhhWelRuY2lk5OF567DvfMibbOvBtBUSX3FTceSwa9FH/STJ2gVhIGPlDghYnycahUF35rilZkc8bFqyk6q4sZml7VLTVi3xNx93lwu9AsuvU2LY923UjLlhcwxiBxO6kLjeEWY/qm9oJK4q6E3I7lF7usbVcvv7slrIZ6La7GKweh8EY298ufPAGOtuGf5QXX0DWc+AM/Jf+FH2Ul6i7f4q14uEW93W3hHE8g58K4zZVg1gB5B47bNETE7A2NwqzsNDgDBt7YZhqSOe1s6AI6v2AopkRXJqWx4bqyBS8a9La6yplKL5Yfu+FkRd8aeUvPOdq6W+VDSyJOd1pZIgPFz60OInEUKXiPzPU8SbPOZo0ODl4Mwf3h6Zfv4odYmqie5dqSPN/bdyvXJB1FYq661mWrnM3zsr+pBv00pxijLwbBw0ZeGHWkvvQR3auheyV0aZmF96/0PaK6Cqzbz5cAP77/3Tind09B+UgBQCkB4fzvR+OkIs1H/o2fRp4M7k+xMKKIWMurfrbey+UBFJaLUFx7zzXAQBT5R1awvRedgzjn1uVTqa3jnAv4MCGM6y3CboI5kByS03yPg5bppL/h+eBxA7qYIuMeZA/UsrgwdnLweQpXcvE64a5GUCH/iRuE11c27jiOYTsm2z7Dp4HYNkAiRMfhcoTrXIfmIkqV3vVXFk17q4gD9nN4iaouMLnsjWwLarAVQUX/2UuODyCP1eNw5mVyAWxhlgJalx5O3mfmj44So2zUmcE9wg5Sxn+QYf7PDXSB4oTb2hcmkEd6ihY2hI31r28uGxVtKS7Gny1PSLIqnSV84wj6NG4qG8y2TY2xLz/RzuUFmFKN/stB3xPbHNIvRIlApgE7LqIpEb0+H0UjFe1LHJS0AzmgFtU0eSCFdupaWCsLvaDlSY54CUIJOT2dHNGTOSKI0hpichmFlRlthrqK/j34X25Smml87y5W4MH0ZmaxA2nIp+iNxKx/RhO8ZSYkM30jlWXXFIAdLyuHgr4kYhBg1CceJAqieWGkrOSKzu9YtsDsvZumoOdFBQHhS8R6v6G6nCH33MHHpzTZZiNFIS7aQoxniTgYgnDQuErKWn5kjYEZQEoiEqhm7oWLYGgqn1Cp8ih4NCqUaYGHVZe/bH2m4sc4b1JfDqF9VqI+UPTCFBj4Ro+cZIu8zY0aueKSlfHuY0g6mbuaN8X5TsqYElDpsk6MijovHsJK8zfKyK7e4om8rk0nTAVgiWzBD0lVNWBZ2gi+Eh2tB5/SK76wRhwVzF+Zq2kObiEXRm48sGVJXG9CoNLCsEfRZ8+9dgcnsWpYVlCRNWLhVksWZ3+QSynUVue6lZnXkvVncGRv/GJGZZlUGw+2jWcPrX8R3RISdTAO3bbIW00nL2fo6eQhJZbCUdhK9ON/CN3F1CmOLSyA3qjSTWoGjBaAVRsJFgP0B6NLgd+mEzHirNZ1C8clWrRII9Lpf/rBpC+SiAzhANioMT7OxVX9vbRnGYsftyB7Go2D5fP6Lvdsk/NqkpOG8MT1cc1ZW9F5vhi5sFx5oe+DBqAaucxI9gXv/LigWWFjvX8JNSD4WvKv6u/h9k7vReVybyb60u9t4bvXN/Tv6sBeP9LbdO8qY9b0QBvZPVH+P9beK9lyHdcCnEoPoBRB0Erzn1jnbYHigiP3edE/WXUzj8GWaGCWGSgm06fPspAEvQWroEOH8tXEqp9tpvkk8euMpfXzAfeTDwX5Fhg0I/yUcXElJPMuu8uih+MBz2YyWnHdLYCzxkjA+TMcfEB7nl076weqW3Z1/689Z+5oWW/Cu9pb15UCh3tlY5E+ZXsI5eHorRH5X2e3eXqZF/YfZyWUOq3LGaH/LprZ6AYi6sOz5DezYQpMQcw+zdKP1kT6/g6QTo7eePbUerKHHLo047hseCpXgCHzKU5yGfcPizGrKhToIKy+sFmIrt8KXzPF+x59Z1NSNUBzVTu8x9VsuFcJNRlpI9pb1RFKG51KOsj8OgeGCbPGKN5jjpg3OBGvBZqjfevdcF1Kf147DlQ8jfNtU2I+7U9C1TPCHloG5Q2Su5yI5x5BJVQ5NldxDWLkfgc6IVWsPd6uCp9O73+8/879Lr4i3/xgiocVlzU4HZgeodfU16+fqBUW2sL+eFOrYIm4vOdnwRuMuUsFZScZIXbD28d8EmSa8AOxyBqUdvDXaeUoHbtdeOh+/p4m8LwhWe64mDuAO+0FCs958YzyQ2kMd6MUlxrrGYPYEX0JYygHcKeazy/uKqGtKuauj/sbgSoEVbfR+DKZs3PAD12KEVb+JlChN6doHzDpfXyJN9OR0tg9KEObQ2Rrvqy4E2f2hNIDmHo8t9i8xIOwX5S8DjneJLXYcMBHVfc/m+lJkcwADJ19w1DzUVzVBsoJIR8kD5DNyur9ZzSsAzvVGw+UARNQeowOHnQ/STCGHn2VJrXyyFupapRePOCir1ecQ37Qlc+KU3tmwoxz0QLhJSpcFfbfmkQWIR5Dd/6MhFrWMwscRVXTkRF6JBhp9Wio5LZeUpw7da/HpXo0yRGmMUU42RDToRuxM9+J/R3IBSw4bf8cvu5PyqcISvBE3kCtWuHlzPZBgup9IEa8A3Qedf9uaMgVmPfMmx3+I2O2QCj0D+d/kzJ+QTe/mKra217Vow+nUHoobfgbijWy2P+0uqW549TvbZonyMje5/mebrOhshrqjM3oSEjEOmzevATv8Zu5iYwQyL88e2ySjjUei3z5CZe4s5T6m5TAVoJu3Et6PLASLVpwtLiMm+IN01zrlxJKD4TO9uPOanwMfLx8ywsTD1eBH8+IH8+gDoATYjTxhFneLd6uEe3CCvwLeUijSdA2hkn6hQX+o/eFMG9OmpklpCxvg0Ctuy6HZDZ8Mc/VMJFNMK4Cb9wsplhddsvQwVn4ByLCXjOCB8TqindU1OAy4eoEWRPENKip+vAen3pr3e1K2IFwsGX3d5NlfF9caRJQhyqkcwVTKZQW59SNrKM31A7YABWj/7wSPnCTEpuBuhO5QjuluO2qfZe0WKvLPNqlWmmL276/2QIf9O+xXgGs9z7W/p5vDTB4fGYjoKEgM24CZoQxzdBT3IxSE8WM/wgMkSYJM9vojXgCRbLCbtMr4Due9C31jN0DwS5dlnQW6aQDmeNIEv7fn4yYZogjgBbmkGC8geelU9A/eUKoJiZ4+bZQaMr1M/WLvuqzIPJGjyFvgccc59Nls7V7+It22PNVdVqyhxGmI6M2BwX3M4S1p5U0hpNqeGLi2o+kq6LHs+86TV8gXbnTV7GOkEcVlyYW9XSdmDJXcUEtrlLGirIW2W4luDCHvibXi7yNPDmhWmHVfMRbDe+rzs8sE+YirBtmvItIyG4RHcscdEpkiB2PTQR3/kZFNMRgN3FpQuIICWcBZC7IK3PJl4UPAPHDmtGv5jalB+qXAXX6mHwN/jv+Ou4NTmbK+3m5xz1nztxEnj3rt/eAFdB8SZwh1PWZ3x/xtskf9ntj1UqCeiq7n+UXaG766ZzNZ9A2HfhK33kLIbLXFltEcfrEH/OdSNJrpDWn7VC5Txk/HrYRvuwMek8XTUBkw5XQZ0+/IVBsQncfmF5wIAQO3//lEt+HKWJQF1+wGzBbSLZMez7obp7/PW5KxS90a0R+2bzFHINMNiTZFFzuNkLxNkCeFb1YESyXjV3BrRv5VffuoBwjoHt+TjVSAQAlAZ4VsVRDywep8bTHKKUj+if9omghruKb8uMoDm2Gs9kFG+VfxYV/sLlKcmEuiFT28daW5K+luUklEljIjFiHSs04kgfrXMtzRKL1HtHcpUVZW5N8ajD95nm2TlUVZZGYnKR0snWi2lwVByVfbOA5RsID08tmbQr+BbnmBY2raca8vBHOgfD7X+8ZzzCt8uK0yps5NE5mepojjDdTSJPw9cAV/N4EjQH0szacVf6EtjFAeIq1zBZmg7uZb13qA5v2d6YPKp1xZM2XS8fcCl0juN05TSKB78FtzBv0Yzx3FFQmzEj5qKCAVZDBQWJw/q2eXAXYe6eiccBzXrHq6w+5Q7i8c32MwYUFmgVqYsXTcHdRODVqfviAO1GgQYx/koPNB5zZeeT1m9LsvdQeYKdjiYa3LJ8TiM4jHCXD3AQh9001WYZilFelqtNsV5SjLSkSI6thVoS6M80DtGRX2ery6ZW0kSH+HmpZzeSacFYEDCA0L+OtX0TUaH4GtRa3xLjtCpMoELXI8HAWOnxWf2JCwj1gE3g9dil85aJND0R3FFIorEPbQniR5y/M1SgrK4mkG+2PluepHnFHIDlujac32J/LsEImkt6E23AcVQR3rltxQjzaYZNlkeXWit/SBe4Yp8KwB8rQXDstinsNGzuyppJmDQgZArWxihGyS2pgouzONph2iw4ycRpCp5E/Ja06rLy7fMpSieBytKHLitkoBHmSCtr51LgSGX/iU0eICNxYt9rcj3qVWs7JalApgcUR61dqdoip3y7pif4vziLVM6pgNSUYsLMgyA0rf0FZgLkwdUFAX5FbTwkmaCRJXxe5c9K1v2iFXIsPQk+eavNGGv+nFv7vHfzLiRDAy8NAnzT3sqk2bHeVzRU2wQNyVA1iwaJsxtigVIDx6r16iSSIyn19EU56mtLSzOhjmtQM9QLrBlJKrk3jBGsQb3ZB1huyxhErHSpy/UBoWC99SJue4mq3uqqXpuQrXo140WHHB7xg2aBfYXKVdT04UZ+Em5cJz43DgTo8wp34hfQ8RRDg30Yjtxu5V8uF5wQisK4XdsIp47MBIv6DOKvqPG5XJiv/4L1yHQxbrvxHmwqduz7jYHgdjKdiH9i9CWP+RQFHjr3uqpSzfUCoe1OlWGh5A3KmMC2NHGLvpVFilSU1QVIrY+kas240kxXdV7V2XHPCD0ICQXZMaiuyRnh6nrH6eBsmlcdGkzCTl67FmBOnAdUgM5AKjKS4ZX93uLQn2IJBd9zFgd9YSerp/PsYDuMouVUbeUKdJe7L53NTfU+rTzZIOkGhTzreP5u2/TCuWSlAI09OlTb6Mr70eOQWln+RBqJI7CutMF1+alK6IQa7iIkbGrRmNQC4JRHfJLhUg3v8gRrGxHpr8cUdj6cpDqWfFhZZvoY8UetYKSQf/wX5iCwAfrGSHMBz0/iHNw87Kj7mvYMMeRboV1Mr9H6MStGRxeY2LpNHJsmbrtpm0CJzqvY44smXRfn/L/S6VTdSPSpoHkX4spV9vIGlWU3JKrayb19qrdU3cnG74pa2BhR3/66oAndbQzIYF1sFKrkH0Nvctn/AFYqn+A8orRbszhBePZ+k3INYvinM1E27vUpGxL3cbh+zDVpUDxmqSdcKFsWX8jB0wO5oxXQrlPMvTKdaaa76tFGUVNV7UTwBZZngJYnkK4LKFsoKMYX5sy/xnWPg0q6lGxxWkaXAF+ZjAQCB0PlxuLtpvKbDVwaaFDPKD6BDWltSqJQj8N5djgA+Qk3wIeTF1zK6ldUGvvTFwVED1wHT9QLTsEkFGKK33RDL+ZhxBfZT8Ws4ezA9bICaQ5YBODQEUQ9B1rxHFq1J2BTJy0TzYb5/xY7tcWEYZas2xDahUWjA1fBIZSjSzNsZfzTgnGTETE5TbXuOF99Ei/92zAVDeMRWlBeYXI635BZ+moN1PTF/+JAYw8kSrKGAb5dYo/Pp8ljTxTlaY+EzsgHW+RkbEgLKXNyse//WZvzE7qmfP6FM/LSZgj2hdBUFGijNOUBGUBq/vg8WmEA9ubxvsSBob7DEn5BQa99zXwD/EqZced+QvvIG2X/9pmkTqRSYKBte/BmKXT45mCqUhZ0BSCqzdKHAkNWBJYIY+QvlpQzU31qUFgZnMkLufUYvZ94bu60rx+jxjQzXXoc3RyjbdZrcj0gjjDdMcpVgNFuxbOC07plWo5rXUYq6n6S0twTnFaT5wLuUhG8F3pg414I1+3iEPAddpqVhXXTZinguF7hYC9mFii6WkOVOOCS4IhRkMqM70aMvPFQ4L3oymgtI55moM/4coV6pnECKBC7PSxxyd0OVXwKWMAlXSHhUwLy0DtVaF6smes86rhP4pGAZiDlueqCpNS9OvqTx1KzgnDI7YH0pt95G4q8shbdya9AVWXGaj6ByP8UyK2wdTt4wL5JU3MmqUMhiD5POFSGP45gaiDQqbtML4h4o2+Kd1cB5FdZ9EcPzhGoHeDLfyBwFZdZLnOmfMtf9dLK98R4KALqSK7GsqelPX0b9IiS/q2V8U6hvU/Y2ML6p8PWLU028Guys+UlJAT2xcri1/CE1cVI44hSoRVdNqp98qZNbPRGN83WiLRH0Z6t7n37XC6K9NmYKNE+flD2BRjqUkfmn4VC8xQ99afUUP/pc8TuoLvHIBlJP4BAXk+vii4rFF/0L8wk8W/JPGPbq6egG/bugsqON2Nx647fFFAx9zhS12rsaN0EPp7styqqr9WrEpps7lyorzsd6H7liWtWt1NyxHoXLjQJu+v9izysI0bdWT9H2pLjRmX4HbZxtWB9alPo/jf/9Q2dD4k//d0mVh6pjxelTCMtBP1jr6pZTR5nOvXsbJW1Jgzke6h08m07TiRyhK02IsQd24FGX3L/9E9Z6V6PPAD/e6exDMFg/I5OKZfbfBHgqV9JK1zmtfhOwUTEF7FACz0y7CxYjp9KPuO0fgYRkjP9geUrwMaj2g1zag8CedMmf4TWlqRPsmOxM5rUUJkWXEj2qYtWeQEkpOrTNaDardr6mxWi9APcezBbz8OTkJMj5RC0n/ViLh7EooRyGnyRTsHu/UGWP/gDC2kOr8g/CvHTIuSVFD+OjfL/F6MQ5veXOLegx/XM3ekslhkGlAeSUq6bJEGWSCGvXTfvNt+3bCxtfsHzsvXZR7UIz+eF+WWWyKofAaI7+YPFG93e85VIcJVOKdAC0h5j5pmsjIpZ+uuo8UuqT27By9xv/sNOtmn4orn+TEg4CvDzymRaw9x1vT/bxZ8mPHCVXuYuhnd/Kbd6lf1XVH9QWwjkiE/yU5awXfTu+BjnqfPqdkhK+5lPVEEzIs3yIT3HAQ55qa453xKbX8EsZHxmlfyE6+KbfcBSbpPVnOa1Ypf+LsCxHc5GnTBBoqgJVWqBVNP+LEwxiSRrWKZuUnbp6fFIjn0Ah9uUsvg3DxiP6F53coZP4plWEPcb1OUgKVnQn2dbwHNcm9tJKQdp1fcPhoS388SlZOrSCkNQFMxSeXg1NyNHqtWSku6CevR3qumkHFAOOmJEuXW1FBIZB9xAiEV6ZTwpUHlmLhws+dJqccd5D+J91r417u14cmohLmsvUd0Jy5oS+1MWSVKDqrFIO51X+P2Dy4a/o3qmf/FHuDlJ/lWAQ+Hh+prQDJG3H6+lcMeejIJNTrS6rSCFg+MmWYI/7o5M9Rv+OkBABzAdhxZbUg+5aZqareG+NSaIV91jw5yrhl11DTDRSqOkuMPIXcZwTuAvf6vAwbttTBeKL9WM63+sj9wcQz42JIoTSIy8v+wWR0T2hEyBtSVPuZaCmHqPKqih452iMIdBdeL9NX8ACtiEPiKXT832U1clSt0KPm2NVNQGBHJ29hrE/E2jn/jYHuQCndBByraHmXDpwAzcJVjo6nDxtUcz86UuK9U90uZLcJ3Jo1sXNxvUU7xGhzPKv/cVQ5eVHuRH/Z84AIznVK2ZSpPBfLFPoB2GRtPH/gPhOKPXiBpBDpb+LwrHDTtwl25lJp+Eotrgirb8VoScL5vM95myXvgjviMx9c9iMfioVT+EMtHdC4WywCYUMN0vWJWiwZmz7DcGsh7Sz4Dd+Q3MI/nYh7Vd3261Npc7dBeIWyYD19nbVv4QAofvFuLpBXYnSo3EBAHOlgHsyciEoylyU/Nu63OH2f5R+qFAdEWq6IlzVrXRF7vyRXwmVIDdW5wExxRugYZRVspxJjZfRyBZ18wTYZqi0o7k8UdI4L6v/2w2RBGLNpykNHYSnzn51x/90JDOfBXo++F/9HyY3/9sblx1+F8QIKuooDQYIvKkQx0DKWcxnRP5QEqjK6dfFllwIJ3kV+ypkvG9W+XZGC0j1vJ3UCTTixLpgd/V2PgV2GUiT1IurxyQ4CNpAxJocUzVddshqHlXLESK8bbhqRw/9jdmZjlxaZkO1KEp02Qe6nAKBbUJM2rPBh8JUD8vtjzYFZqeFCkLJARB/J9oMcwkLmkmPHctXnZR7vg5NHVexs2k5dNOzjTIwbvsJz7lv9p1cDnf6w/gY6d1iNwrLv0MQTlQGUozYah25R3wi3ADoIy7p3uzn/QEdtKthnMKXOUtVXghyZAjajXXQesRLtalhWjWtLQb+T0VjmA81LoCYgL57/2W6nWewr8AXDuqtIJCBuTNpaYTPXf7pq3Ax/YCqxXfQodfwzrREfJENjOQxrMve2oGcKHf0+3xK5TcjvxxKh9Nvki3PIGkL4kK6Ly3S4ZdWWZ0XNZhIeIpY0Z/fih1ZFtRd88qE95rmu2HOlVXzM0n4Hkn2rtYzDBSMV5xdWtp356E1L3ENLIyqwoXFY6MA/0UOGGC5rBjDsSqP98sXnc4hhuUKvNl/qKuVTA9GmbtWXyGUf8YJQcW6jUUTpYnCO5Bp2KJ8tDr1+wsLSk3D4TpPKxIUMiHb9SgSkS8TsWGxpsN1+bO0fkSMfe4kBSZq7DEwjuRh7WCVd7Ifp0meqgzuVCI4sqcF4pp87ib29KP0e9i+uLscWGTnstBj9BpXq2YnU1jIpk2xmlWMa9YPvCSQF7yN/PFQ2fltLC4yXNMEnXXouyItwwCDOvJmsmiq30O8dfOoAixsixWFTpgEirBskYIoxGgkEi6/nW3Odt9mc2NrSOHtYTPbGebjCLjTBrRfjltz63OQftENkr3e+3HUr53zQ1vPXRQ+iVgRIaSi5a3s+fNUh4ub984jZ3E+/66kvx1VlxMkhUlqdjUK3cNrp8Cy6w+5mKxkg2RWagHSXEWOWQWm2axPKGst9YrjfRYFminAjfIMJJgb2IgV5wnBPBOHU84HaN6d4183Ja73jTttPkAfY5V/iFF5vpLZQ6K9K8R4jT7bWqDQJL51tqdfe3O7M/KaMuHmXztz9PsEIpyKHbFzM7zuMGezz0t1mVktVrXT+hcpAqdt51HPquofNfqQKFegYzzmnFVtGwCrDL8T43qtRmziGerjpHQxfD6F+lsbF6HrpyFVoLYFEbZjEmvOeDf9uGISnyuOGPNS+DGWlEjaTJHyaG124EUbgR0UtLq0UMsViE9pcJdHrJrhFjEpE3nfhcO5B5ENSkQdcAhVo74u+IiPxILlAx1t1vgz1Lp4po9S7SzKHx176IiKKWgQlA0DGYgMw3SN0d/01nrJnIKjy+9/EQ9bcCbdO06qaevWYy0Wps+/lkmXMcr6F6JL4Ks7cBMpNFGJm9J6SOhVYSVqlacvxk6WOuP3Qq74GMo/oE43eoG0mUL9F+IWF3Gd+oj0wyW6JWxdG87SjPERSvDGzwPhgK6gWtnDMdXEIce9C3NvcoRUHss1OUwZz/5/vyT/6Ueq2b8Y15sW/uta/MhUyFWpKw347uH6qZjFXBQULjkDtHW00/NY1brkpUHXBsaSPRp83SOdXHqnbKvbGMue83kajFMIRdqnmYE+M8eXlzsFcccTVfq5EJn9TcQC0tR56AAyl6y3t76h0eFqeodDfU2VWIApPavLybw3wJzPn8huceVBkYN/n+KDwwycY80RFUFt19CvuSKwAdAt2NYZ6PrH/1JQmYNwok4outGhSZvheT5CbO+/8B8hFzjbuwVN/whx/xWu6kIYDK2h3oUa4QN0oSkZDRhOGAA4XtAhAVRyJ3q3fNEX2ZAqugTILhvRVGnDLWqrd8BWb0yiNBGE8fS/KGWlt9WFTm43qLga40ffgxzeidkSuDDOq0TgQtdxze/nbejlJ1TdlaNkIC+c9PDYTUkPR1vMT9bOZ32DnsnOKe8BpjjMAorbsMXrGrwoVY5raDX9C334qCtxqCb/EE2ObiDf2tKtqmBl7efmeSV8WeXE3D9pGO8tiU2QPj3/pwTv1LGiM9s7EEX4F6CUc4sNstK2IXO5U+5DjBs97bV1ll9JNvg6bUxwe4AdbSzcPObhwfs86M/OED8tERLTzyRLR+pGYUyppQqpTCLfg8QX0YDbInlt7+srQcu9LIYRHjdjl8I6Cf6SusFtwCmBYEc+EbR1OrQjhbWDW9Pys+Go61K+KRpbmSD+ilNiVrVvINiL02JOBypgBgg14jLmBCVZTa7vf+DmRymzq3/hF+8CoNWuGPi40W6tqsYPyJrpu/jRGnOrc47Q4K5+bpPro37ZSS9oeSF68pwtNnDheOVB38c00FuDG/izZ4JuhGwDXfCeeIQth5Bam05A4PBRAbx0EXwIi6RNO3Gtg7bHbwr3Bx0lWTbWr1Wdq2i0IQ7iAcYXbtaMleaNgtTa7uoChL0AkmJa30AJE+u/IvX8OPKWHt/n6NpYH6fTbGrDpP+xq4FPt33T/l8ds37qkv3JyZJ8YZWS+pdnlWQYr0I3MXcofx419L+w0CIobYROMq6I2b/FiVDOGlTKh8WNpceMPAsQRd2MyYxVQJaJraYpt0js6PKhBZr4+RUuva0LbmK4B3xU9jX5RC74PmFaOCFVWai+zuOOi7oKhSsX4wz4BpGcB7PhClZkN0pOEqGyXcnOJ9EFHPlpkN9nIQ8ufbYZ+MEVxQZKaJ8hVT8RgoXSpZhRKH7zs1blY1RzBN9mOK1HKUA7Y/16x/zmM9QZRcxYEXGDM2ccDWRhNwbilR/y7La2GLDdi2bIwFiFZBKxIs8n4U/fFLce9CEUiPZnRuBaB+OJoDakG5obCf8ctyDLvhOfT9CLfzEu8ix6vhfFXKam2dGgGtWMmC2B6Cwph0A8VAGVtX4QArQnSG9G+7Xoyw9yMkfPoZg+Sn8di3CAA/uh6oPiRaA5F8W9OpoCBT8boCogHmzzTFAeZqiZrLFEOijyb3QAYrbvHmrl2zT/i0+VurGGorsp80/6o78Rs3x1Twyx7kaJ8fViLpLm1n15D8opgfThjLJKZmL2QAnJPSLzHxWTf1d+0vtmQT2F7jUJCNQsN/GEoKz1VS5FB0PsCGm9h3VvZl0vKvSr3j592LZ1BGh1X37Rs9m8P45O9H5vD93S6rypZkg3GvBU9eNEtx38kvUDskpoVwunejBiSambkT600UfYsTz/wP38gwap7Q2OpwSGexuxlN9/+VF3YIsZszEOum+2Q68MNcxtDAaGpOnbNL5OTs7TRriMtwl01zwhhk+aoiCDXpm99u9c4Xvmbm1qiLNsH6XyfL4SXCnUXt7eSLkTm3A0xkum+yWS/ouUGyK1vQPBWtv7c3Ie748uvU1v42fcU53+yXNIV24G2uTHeSxDH2jNQ7s3LZ5SNA6ua/sKJ92q4TjHq4JXjN2fb5GHJdGoYe2q6dJwfIFufenXbZAnBcnrF/BB8WB4JxOftAFl2wiLI27n2+W5P7cc+EKndpc7BrmzbH+6AmPX2dSrSg2wINHQc0c/r5DpxhdosbLgV+z2E8C1vQFUObS3joPH9TQXKOY9rcpqIXP/20DDn9Xhm552A+pPPnKwq53RKqTpocW0vUD4nxhfZDDa/lKIe/UJjIYZwfV8G4UL9NoQbHXDCgPlDFC4IOdyBisvpCquxdBAOmJA2+Y9jt+jfCpCscrgzSRebqfN9O192b0iJmP6SjfUDaRXWepG9TxhEPW+4LsiEmS21mfOmEBPqnwHxT2GaYkW00RzRACTA9Sz/T46aiNf5aAmVNKTHHykPte1rJzSCjBSzTEHxoJrqw/LJFGUryhpvnaUBEwdNtiN0ycmQRbExL5bj+0rpzDF20cqAsPDSUAWapNdaLbhwJ3AW+Ye8EjWx6Dha+PhjvTfrWoXZR+g/pNYvu8ZbkLEmqbJOeijAAXkVTyIxzM9A0OSJC1PmL0u2gLLPLVsVabySdwq71sP2UXD/m/j/azujOeWF9ulSxj3orJ0Zd1rdul7IUcvh0qOb5j/jrDigI6KfjG3Jrc0RZaAS6+5o7ziZBI+I4Bs7QZhloBS2GMpY53FNB+y3yIdA09CW7RKZpCukMhtMaWAPrpN0UrqOu2xlgg5ag051vslGyjbHmZQrW+gc4LTUBL28TwhTSC3K4GNN85W5zEsOFb4UwcO2MHArQpV2PUBbtG4yxuKaIkHy+lXmRRfzDmA3ZgQdfVhkujmpuGXBvnruq7GPdFTMzl/UT5ibP9bo+MnzFbaNlDTwT6Dw6OVvnY3fRWD/GYAbYLgh2pjekDaJEPocdpL3cD0UUsMYyVz88EqhsT40jZ0SW19kf8P/ZM8+3eyU7h5yKg3TyM0VDfY9Bzj9y63GVG2bg5lp8yOe2jFGAtc5hiZ8Euza1djbztpM0THLsq8hBxPCHWfpBwVjP/3g5WYIBj9K3tk3yewviteR8mVwW8hZS/FMjx6uCB3+ooRlqOuKx59aHaVQz2xs4GZYGmNF0QDk85X64pzbIlQO9r3sZkco6IPUBy1KPM3NCLtR7aYK8K/FNILxOWhYygCIow+MVb2Pol/oWgmxMAGa7qSRdUYj+dfQYqV29z3XbZyJt7zLEGEyT0eNxrJ+TSm+UGazafa2ADxZQEcEZGS5LoCNCtHD8Ancid6Ahv8eM+mIh7dRPt4/eULEFVaELBqCb6sJfdBck5Ik9++Wgb8rG4pGRCqeBpDMcgIVK1wdGWgz5yNDoUr004LcIeSq3bazRyO8kfNrUhmmo+waKcFOOe4d5bBHGySdB/DyflUgRGojIJ0BMSgLs8doZ3fVuSPdY7bCvpfdEgf/wDPT5vklQMsaU2ONW8QbaYhqUPoIC8d7KewrFzVaSEAVZ7Vi4XNDL8O2VQSwyIC3vYsNvDREx/oF5iSU2zNCD+K/jTYuhe5jqAAZBlrhBN2nUaTQDnhyJ6MqQjO/JPA37sQiSbvqrJQzgV5dtOxhn/r2yZuD8M6OTzu8qf3YGQkdmU8Ix/HExv5/ueUcLsnjY8W7e1fzc5rbHIfy6x5pgolb9TC6mz8JBv8z3/dzPnRvl34+FSHa+NUUFSVhKA9dYX7aWL1UGfVpokryurG4AtfuJpHpvmoiPJuj2/DullPsksfITJyA9D6QXBmcRJkBEMWhYdTWgvloOWQgigNOjVtFE02mzuHx8QvnmzJOSTUg6xenHpWUcJ311QBk0P9uCvHepFqPfZ1d92A75/zuy64PQXJSjgGwyVCKyUhZK2Q6hMAXi9rbg8pyPoc48yolfLZTtw9hTJgKfzLP9Tf5M8hMMQSa61tLAsvlzufQn5mChXTQhQ2BDn0KdZcwIQP3qo6W7UWnD6Arnm9i+oUhCvQ7staJz2ZfczqJNL3p28/fCmx1OIpvl6OlNoXqyBIpngyRn9LSQ6+oyehke/krFm2Klzfc6+SLy4yxJ8DnRqvKWoX2yDzUNzAnPR0osjR3iMSIyhr6DbC+Nmb/nNbxZBHcAxLoq9Sq4QRQg7WPbUiDU/BVoFrEmQN0HxPs+rqUa7l2ZLsm1JVsHOhuZdB/8jUbhcq5RIc10hgeFxFtU0flWR11ShqXuTf5yHHfhb9gHiMuhctl0j3YONsvAFybfyrfkCMOxQGCNF2ELKn/JB0nzSbQbaTG+sEuHgXhR22zyC/3JjLkWkiThNimXhjc1l/k2ysTRwFy6wQL8zJ/y2gUcJ1MMqjMBT0nQhWzcx9GnBWrz6QzDxLvPk5xgJ7qEL7AhhxLpqph/MfUorlXJ1XD+uNDSIxpyXdQLpVT2Z1ilbQ07zgffjvhDQDYzRbUPYD5gAs3FKgEu6mvP0KW9HxtABo1EwhKMfmWHZFL8uq6l2aVc3O3S5/drOYWMjQ3arF1gIrwn/Xx4s4wzbXECpAXIfP0lrUX0hfviXZHi0i3qJ9AJ/9RRc9BbYLmDR82GVAJ82xerUfIiNVmIChTaCbM8l8a/0T5gnCChfVhKi5hHMi6zWhb8aKLf0Z9f04UBs9ern1SEBf+z0eMGoEiJKJ6LLQqIij28WYPJXpnaJejqlGtCd/bQY3HGFPj1XNMXmscZf18a/a19UT3vFgyXnflesLDCTEMZFmBvC3edRmOSrKosm7vkJkldmbJBi3iqRSwSrbcb2p9nxTA4RmeH6Py3KGxYvxDadu1CxDVeLg6OG7mfvjCaLnSOCFQrKZna2VX5Dvocb35YSobUuKi0rSqkk19A9xQYzWXba7U8N5PnCUY+kl8dkKyh0F7yKcKuXVbC9oEssnaxn6WHskEESywaZWSRFFElzUspU/I18+blLeRNC2+/rJFcGnan7LnxHlK1DKAEHb2rOlaq8BXcR/m2us1lZOKFsjZ8Ak0hLUr8Bhz9p7CCgHS3eNCF6QFXIbHNhr+Ppa93LAxdmlUJ9LXj8aauGh7Rkuz60Cglaou6E/NWDivziXjG4u3NzD58gZzpjlMmKZH5AzEOKBhG5amVN5TsSnyHFeeyBLKDunQKvWLg3gzv9OcBRoKN+GvAcZ+e90IMCUuIWYQ0Xro9x78pVrIcJLoxGKnDQU30ujuNxL8jGkO40y3+MqO4GWiNDl8z5TAJ7/X2Q9vBcxi4kwGGOTgNSqTpRL67qbY/8q6koxtuM/kJmdScMMFVS3xPElCKmEV8SFg8fLkRwopspMal6vMw2/M9/Dzvz9DCu/64n85kMf/ncmwOW3yy1tnUNcXAy8z7tBryNULLmMX33jaqNKgG91+cHNahPgui/Qx1Iym77robqapxvWXlnfvE3LatxKL0y2DbDf3qX4WJX7/1mUPRQharrXOkEZaC/oAQ2Qx1WyBqgQnDFQhAI+pWFFSbh3hujcQtyPXKNlO+YrGknrtrykRcMmB/YVWtZiqMVcVJHTXvUO6hyLEegAjuC+EnRCH7CgTaGA7OVrkRYXloXNj+4MZhTwmZR+KKbl2Qnz7bvk2ybaDMisqJIlRJ5eXl1FuWRe2g86alWQvAPuZYPK9P0STvl5Pwgf0Q9WYj/AC7jgZGeintBHfRIe3h+fh6MS0YC3iTqHbIne1YtCSwQYGSt6FeK9IfJHeEUkw6vatPOHVE/AgaNOeppz3Kaw/acmJM8SFO+yeBmqPCeFpiNRDVWD3fdIWZfB5TcL0dez2DfSnNLjsIqKS8Rqgeia/4+uMrRmf7gi9aIXNuMs8okWPY+tWjTpVsJARuJQHwvGrxCO+mwudMx+LoYw2liR7zwLiZfow9udZwZThZ35ls8szhlJh6KmXM/kR2t+Z2ylc1XDTuJNOFH2Jd9+cceXcXi9ib2WFzdmDk66QGswKiujWjPOJnkd0irlWN+TP2cHwcFJDp8yGij/ykcFowvLOj2Q8F2VWCp/BlJyyAF3/wq5GhvhkXJo5dNBcjivIIedPig0VvOkJvzCyGgQpFijL6BPO7rIEGWuOjcU+jY56XRR73QS/keohlssjadaxKI5v2/Vk7jWAuiyqjRSkcZBo7mnWImtJVz5c9WuIRcOk22UOxSMJm9mT+iouAyVErGSfmbRZBpPJAb4o3Hr//7gT3uwdCNvgd5KGK4rqSrftlo01iWzZqjpjasFCEJ+tigXm3XGuaBd3dsd2bsmk6vwVFyoQIlaAwelNsk5zjlFDE4Dt6wHKVDNoMtHZeR0XmNfmJJ13HSfF4mPgRGDBng2N7XRwpbpwDeWzaN/gQqpiXy6KWKjGX0OlR9Vgfe+Qjkv3zhQIcPhl6iGM2Rdxjrhwv4B4XADWwWPL1m2cev7FlwQs8X3ZZ8eX1wxhgPjPEUoFB+H/W35nEM7juracdTTzX6rr22hpUlzV1iz51JuMkiKTqSmWxLNpfxo0dGNk7jlfnbnPLVxshi74NpnFNn9DHreG/XBaSemjBlGLZyRcvU6dKywNUhTXXBg0wVUcMbeHYW7Sx+MdYNzDD1mUsRX+UW2Yz3c4cxBtz46+aAbmH9uyv4oQJbzklx8aRwV2a/QDPnUbW6g0sASnkrkfTUwOhoslBv0t2FkgiyZpsiZUxnqFkceR15IIvqLloJKCpJsqLpQzRrGQvPuZq2rpxKZ6pTb5ZEAX5/0caC7X8W7TWsk1OIuEJvJkI2xgvrX5Pm9BfVXpxAAm4gvrFnLct+q4MD0VW8HeCAhtJUXyts3v6GJxw27AQVpFZ2CKixG8kJ6yxNpwCe6xbwepNPmcfe2ERuIkPEOGM6E9sIzDWkYfE+jTykJIYYhropKZJS9NnrPB3ebE072V86yCU52by27ybvYL+227St4lQPnOfpbG2Pd6Fn59hUudCqu4K4fPJss69M8xm44xc3N24z0mq5niqcM72W0egQoxRq+ML0jVVfBOgduCljbfFHv6hAY3AZm8l+GifEnu60jpC7aXT+RjZzSvq4myR2lF4bcYodUpBK+wH/UBwYETi1ZrslF2qsKtKnIC+kIZsju9Xn5zKKY108OSQLi3Ih6No+051OmijMBPyyVIKWaAQ57gFvAZVKtkep1IpqbspJfbRvzQR9MUmycU2uwoXPJm63x9cvYetYmBcPKDClfR0Z5gov0lcpsoIz+XpN9LYUbngoPwriR3wUK+VnRe4JoWm2BjMUpGS0KgINpP87miLtlKXVS9UBenfT342v4/ElX4E9mR0eFcA4NnJ8ST0e6wGW1itDahMKmM/nP0+rsfTRvEja1LV8M+5uzycoxCxD9y1p/x72jo+zpW4IMBFby9HWOV+yHgblSaE/sVVEbOSqfJ2lmeSVOTr5N177rAFrz9vqv7qHfPCml5IDXh3NlGqtBbde0FkZ/bI3yKHAR6ePm1gRR7VxtgFhND1qbKwqZtMjh16Bqo9irIBi3wmWgPRWrO2K6KCq/vF6Bsbk3IeavKULQWJmKClwQvbLxfe456EQ1RDEQuhnlt75qExuVhIDwdEFOYsNOMkvHAu81mx6MfkCkZplsnty/dKu5GftOFzDsTrl94uywWHe4whkgkFOzzyquou6r+DYKQEoKWYK9sMzuet6WwW/s0diqWQ1KPzfhygHBZ6B1EkxY3v/fCzRiuE3ydmiwTJ26H8AeEoaDBOqqU3LEoedOQhgTvoB+S0NwJnKvjqbeRX80mdjp8vzphnTa8P1rbyFx7XP3kqZ9ei0KznID3OetDphFdM7rjNNa+UJfZr3hac08A34ke045lBR58l7V2TSXP02KRllVf3XaiiBznMPpWqR9/px+6Tsc0G7Xb3IfeXzOyHn40/ysJpM36tLq9BEmLI++KzQ4WQtq4DeTUKadsVaRMm4GWHkjthiQqX3QuA9wLEHfZcbZxcxtSLSfkIMsCqF1mV48ECTsJKm7S9KHpksikAlVwAkfhW8QFBOUpeu61kIEBqE1YKwbwwnRUEAC/NwpeLRXjvdhOWny/G9rgZX+8ofz6iGJIwegkWOhUt2rcrXR/XrX70KoEB/Zd9FjQUvDflTLwbAmsTxUFIUiwW5dfWDHKpHDvJtEODfvobisFdMh1B2D7tujmCZMcY964fWBYa4Fa/If4XwL4PLZDCg6p0HgwPqjGQTgNbTFh36nXRz3K9wbTBwZusdjqJslCW/gW/9Lr3kgxV2KOQ7oK0mcdiC5w2jrYueQ9+/KpNzxSfLwb2yYbTOC8GIlBc7bWUIt1ZmVzU8kSx2DQzNA7uo92ezCtKJMIPtJAfnXxgz0JgsZ0YP5R1E0muZc3ArXrEnJVvilacBZCQSTOM5FLSCm6r8lGPcXbjQ9p7cmmn2Ruu47bk69tcRLn/s0LAfK9vELvYWcgnYMnhCQRwgpvO2tAioaHOPnBpOfUiKr1o3C60GfMXksO4qVlyPnIxNjkd7oOF0Uxr24l7iKeSdyHcQRWHUBW1WCkwm8AcLxdUFswq3RB0usY0Zfhx0qZY8moeWX/Clyi5VbrsBGq8YD3O86eW7H1jHt2dqmkx9AuDSeqrhThhA08a2Ekj5cUffrE9cPw/cQ2pjS5rhXnqP5jxckkRICdknsLmo06SS2KPFK3X/U1iXJE5jIX4xZOnCthLKpRjaemopID3lHUfdpdNZ2fdZWlzDSVpyPpZ+efST+t/UWSiHmlbaSB7Y6hPiSM+kyEl9lU4/6M7zozx9khmFFflFOiSP0N7+62LDQqLyRMvDeYZz7VKBNfDRtQVMi+J+StNhyA7WCDKfuPNlv0R4qqSiFBVp5QVaaD1ghEipbZyFnALCja2it464XK0IwrF0B4fRxhvx1tAoW+jdKbRdQspp6Dy+pg2V9JqcSfOjH/DsQmirdCmJ3hn0i1U3BoN6+bwUu5mxmrnOiPtZVMsWkZ9o0xNNWZzEsWdJ5EyqOetkLS/s1Zd4Cofye4kbcV5SUECFpLeel4NXjTo1FTGclb2Jl34bfSlAHzLxhZqCL6a1h9gq3ZvQUSqzMa/MS6/Jqua7ZE2X6HiklsspFYZN3J8G3edgHVaWgkTgjLBJNtNE6MO+muON71+sp7QFdbi6+rgZg4sQ/+IiH/wUg84NjnQN/FwE+qJggMHyEc4nZQWg+mhOMBtD5jIorHNs1gji7pKT5xTPqWw67mqsglGNZav3Cqt+U98upcoL8fq8/r+G3Qrj3EEVcNJ21OM4nbh+RFFJlw9laEWZH2CEfBEIoXL8nwc7rpONyuY+xCbFQOyvfdFb0UnAbl1nmODpIX6M3yxgHWUHTGBPqKn3RQYouxWozR4RoyaCNUrBHMh1yO8qH1m8Ky+lTly2Qtx2XP5Ndbm8khgZ36JBMX96Zgr177yX8ciOPCa4TrMwJ7xzIznZEwXBb/T7YI1ERNVDi0LvJFFHN646XkAVLe90zwTP5D/i8MF3yy6vMFoavCZi9WtcgN8jtbwe982r5b/+dreI8MOlbDo8B09C+cgje84ga7vWrchsT5Uy58cCcaxTw8Aygy2syCKY7qA5aoEPPRcwDfyarBetJq2WhxWGC7iptrI4Gg9+tsiCa4tIidoRHCsTVvzCHgxUwgo1DQ4eMyYXCqrr7o3hA0OxCu2R+WqokDxt6hmFUBc2z5uFkLtfWQs9wm1dxyQEnxJnt+sD6PhcNA3k0c5BgVp1hXElJQSylaOFVjajVBT5wyi7TxP1k6KRP4uMNKg8DgKNXQ8AYiBk1/O3v2EVgDT/SCDY2uIRO2EbBJ/Tu2Yb0emr2E3yDnQE7GZBCj6lYYGgmXT1uPQEXeu3VryOl+m5WchwkYdRlud2UWLt9w45Ih0wirmV+VLWFCH2FPJcLsaVml1AwzzOZyS7EQmY74HRTttCkfHhy8aAu7dLr+BZbId7F2PAa/ED+oXj+mWFYIhyC19Vc4c1O2r0aaRnF1KuYoudFOkXb3QqbDyxH+NhARXcS+MiM4kUCcY5CMzQnfBx8JdE4DhSVN7olcel85TPnnM5jjAqbiLDwNjL3ReHL4BEKsXCWAoFzCdXFTaEN3V2r6Qe68V+eXZtD3yLXdmMjY+nSifIPxVFgUyU7gXU81js6xe0yOmBftSRhoBfjZ1fOtHeGucimJU52Lrd8JA9P6GrW+Z24Y3/DifJWM5bsJaw1hjRkNWS9WpjwU9BQCyZtVUlYp/Agv0rYpfBL/Rye9xedzEdU9bei3DnC7uRODyySOCmI1TDkbVRXa/px+iKkuy1FztkN2EPLvl0BI6p5uk1XiQQ+IU7NextBXeMokVe3CbxZIRuPTOtrXVpyFmVMAI+TkUAZpZxwt3v3nBnlImgaVTtlBH0b4ZJiCp7v27QpU3ZJO20PLVw7vPXtwzxvoJO31sHg4frBFK602+n+mZ6MlePRI4gaz3dy2JhSHKMUCG6V5ZcBL0rjYt0DMLsXeN2zcfy7M0UYaBPknj6Q9yl4cpsxG1DUccDF8S0mSNmD3Wl/JBthch/LEzYZnTt2RliHo/5WTvdAOGMs7o0coJDSJtGWL3qA0lZaxfg6dARoTJjjNKNxlC1SovxdeMlvnX0J8FiyS/Q8wJCclj5vw3D2rRmYwOxa9g1qouafVDOomabvL9dLL67wNRVmy6hXdwUsZNn66AGviyZ+8lR2+S6o4UkzPQaDaigBxrv6ouRl0LeWyjY+5lc2TSm0yr5RM6SMryWZHXddesx9aeRPL6QFkSDXATjgEQ0fbb/boSxVAHOSpAgbdnSuFA+k519YxT3L8p62s1cPhAgvXZgjQAF5VM2niXRPKKu7qZOSEgtoMyTgPhCoqdbqj/p/yUPw/4g5CM5fWdWNJoPsjuq2aMY2t+xLCn5t84VywuH5NeN3Qwz0VVuNGiPbLw3tte0BetM9KoGw4v+COyAszazoMLQwpqxAub8jS+h2Z4AOsxh4RWZDU30owfV8UCgct/elBvXCwOrTBVIcKdl/N2GPedqzfBcJOa7KMOv6DlrrHHpm1m5gen/6Gm9MVmbJhzp7RdOEcWosTww3LXj21Zn+8Mzbi7XXyzN12fn87iyz9C7WOdudXEyyn3ED+8HDoirgRXGPiMtrMBWnYPDBZrIffMPeRKV5FLkizTYSBiFCEJuUR528znB8GAOyYD/dxkLj26vgvlJ/qFbSHnGwAXWkECKRg46EibADn/pdS6wGMR0DXoAQL/zWAZ+Zp2p/Q7WuuUAzUHv5hzHGdSIv62wNM31JXOVTXHwKHr479c2jvi6z+TRkj9zqKiUYeMGtdHST6tt1R6LA3R7VXqAc5vOVIVajvoSwkeQp+V9G4z07ZSS5HhYbAah/IX7UXqGdCrzOZ6W1sxMNMhnZXBLCOzlLPogg+12P0WPFrOBWNWyzMU/qEC9SDp1gFFlezQE2uS28jhNbznGqzAIubGUxJexROXxiF96L4JNomR91ngp9jVqvD0rT2JsWu/35O97mZ6qO0JUeYHdvdRpt0qTGpT0WwiseB9bmL2u1fDy6zfFkpGs3zDfaU61SBEMmX6Hg36X48U7QRoprTjjGcT6TJe1aOBGDOKFIRzRf/DZTZSPrJZ67jVcdR4EJgD/lcLsS7mHlWv1oa+EWPNONp+VGGPrKv8oZ/K7Fqqa0EKLK571UBJPy6pJ4NcKl+GoAxS0KSngJL4+YS9tEYDsEX++Qell4Vmpky+3K9VxdHaYi/0m6cpx1cU0rJ8b2SRGOxZXgNJtaowlMs9lG5L3p317L7Hpk5KU0/HkFQSq3YD9X9OBmhMuLTXmT6/LhQObHKFJUpThgvuYpgGR3o13V1Y2LyJsRQEEJR9dUZft852Z1BO5SqIwbd97jn7liXLpW/e2ecQnCAJ95v00g6ABm9/suc2U6Ke+TMZk476tgKuqkKL3fU97eGtPFaaIY+HfNPJ/RSw2YyHOZc+5Y3t/9LrC7fh/qcQf8BSvrd61XQYZOSqroRhaugU/IshoE90TO1ZGqi/CJjLVQnqdJpSzw9cVgaX39U205Vd10lCTU1fOybjFKKIrxeoyQOmghQCvSxYNjW0L3X1oMPAqrq2KjzH9pmOcTAj3HCH8KlTtSoA1Q6aOAYxLim34YxH2YP/nKYr7jH7n0YYH5rLRqeO1WUOUfutgxYPC80Xa3Mvz6x+n5nDpySfUBd/3IH4SyTry9Q8vXEbyvNGRJcCk71+xNd3Uyof2U6TDKurY45stxY/kXZ+SMaqQAm5dnJY8Rs/E73WC97F43MfINUkTmY3xBhWJNg5zjLTh5KiGhbiTkzwSPAvL/CmxVIgkzFYC9b6RV6ZbcCQ/1UTymo9GO7vvpZ3E1rLZMOBMiVWR7vU92Krm81XPthHd5Tdzjez9bnyjCsbQc87zEWUlmqv81lIKZRpWzRzE9uvmJTwnHmaXegvYy3b0/gzj+XLk4Mzjd9b+VMJD263y8Y7O7A/BA2jPrikBKedas9DX0UaGBIOQqy7cI5Xd2ZIvAdXKV5E5WX0MH08NGmK9AvGmnXad6tNiSvOa127Dv3JW5ivVuqpikNDW2xPYW2RO1qWLsMY2AHGgk10JPKNjvZyTJVUhx70uP9pb3+GX562aQBRzQqrEzebN7TrF5as5q2cIrF39Bh0kYZdThfI8Q7lz31bfsuGcXqSALQYCOTemVbK8PQAUr0gfRDA8rnz4gXJDHAE2qPPuIBTwvWSDpYqLeREunDqJHcx4yZ0gsisVtdrYMeUQ9xIfaW6R9ZZD9QHgvrapXYJdzNuu26bTX+CfefhssoN/7EgPfrgQ6A0/CmJz43iI8gWu4WvgjTeF0rs142fd5W7NHKW/MB9bA7FC89xNbJA+sDG9+p3zD3A5HhmEfdfr1zI8DeDlUV3pgNQ1QGSkSQP+dKoTZhEZ/ZMxxCK3S0UdKGCwTFgIClPF1VMp4HMcwjRgnzD513Wms0Ch7qy9LgYj8kzbgWjEf/fxLSR4kQnTYOVOibC4cUGa5OyyJ1/h2yrfzdq8oYTcQizEPHBJ6MA+mgKxR8u7jF1U0ba27/ST1pDoX63yUmEwRTo1i7o3oa9aayZJkjN6cAaWSp+rl4iNKVL3mUMRTVqV1Meg5beywyd59zKuEG47c1QK5RbEr3t7V1BMf8C18Eg2QI4a/4esdSqACOjjXwMn1Z9dQ6y3zuxLz8f1+Y4khqvlQY+WTijA5UXZnhuX7GhoVYUj4blW5XMHS93NEPXpZy/UD+k+5QrlPWXmSO5ll5nJcitxYP/x7b+yrUODqLomFO0GztgGbkgsgvtk5QeBfwwcSD9PrjCyJg5uGPJNbGo55307RgfbSBXuYLG0pao6CSW3kSKyQIxd2bZytNlbzvlBv+lEPewZZybYBTSJdPexL9sZqG8ZVIBe6nYV9UQ47g7WQ28AHp3l8oBJirT3c+E5dxMRIOFIeurolbXaPzQrDg8Pn171X0dRJMRytySJ7Kw2kdeDM6aaZ/mhpYJ0Gd49r073VraAjKYZHfclMJ8E39n2iNEvHZaiSS+hxdRx2RB/t8zLjLKGCZj3opFz0054O2vIplmF29lCvgh9wdanKXJUe2VAdNQ22OE8Fw1ZqxGmagTalodG1FvxY9e0DRfJAcnxRw+Zpx4GFCsDkhItF1YYy1yPB/0MWaitivUdvea9nNcF5jEzC7fYpkqu9jRTNquW6i01ZIUw92FWJpdv43Mo9F1dbfafu4fyTiRMcgrWIOCnjBWUQLWYl3WV3XT4G1H6Jg0szkQZG6r7PnT9AdOdTMfab9kJN3nZCCkVSiMGMihMAGhK+BTghgFbqo89XsZu6kT16JPhI76ZuH+pJ288nPl+HVO03hxC3rauCdBnOGyYlnUY7QfvZV7vNAUboX5TDoXMXw1FwechZAUmrN2xMv+nTuZJVZMPM7hyG5MgbEa1+el/8NNp/3uVQF8LBtJTqG09wpptxWjdQmRVL4oZbedsez+QUzV4Xq8JPgxH+6vbWP89syrKiDANG0gBt3sotnLdBmrnv+7Zj8tucqYmTuDTdtfmxPF+/b364VSFWGP6hYC4DXwvoY4AvMiG9WrTxUZYxF2f0IQAOcNZcGrjRhD5wHR9T+N5kbnj2dHUNF6XAaphlLZRC1MmRUT6YQS5U2dZm4AdmuDViqAdtiuL9rWWG/wty2GLVg6KayV2QRav2VeB6eEDF6g0IUaoZX/XB5tmTTNfKeprg7JvM0pEqvB5mIwfapoQ2EbBUvYfjiicnJ2UjRz4gUir5Inwsbc0mmDW+W3OopEJ7XcsDHvbLrcaQWWAuhkg5UQhiQr4SdDX+zyjfUw2DRkOifc6x6Sets2gMY8J15T/x99K230A/AG0iUWKMTnjMJ5mFkSlLqqqym2HeSWU3tWiHGoP454RqUIxHor6009rGDxApokPi+UiLWPomyJpnZ8vYbxfdFbQzE6A+xmJM8LJtWIQyQxD9BCccpwJik0BQr8Hgj1BYHl0heaYKbmqcvje4plYHFcJ/+74F7CDAmk6octZ1+TPFaeKTx1KSL0hQyzBZoqrKac4UapMoIAB9gHXOFzigr5itNQbzs9+8pnH806/0v1SBDw7uSt9zeFUmsYWHpveYYO00x3rvQy51ztRYzb9ODk4GD67KL5cGq8GyPsA7oL/niTPHZGWOTiubKtwvpf5f2fZ9WqWOQcXTQBFwAaJNJ0roXiOM/jYNwE3hmpwq2QRcNi3gDT+YYh29DUZug0m0skIQJBXeae1FH1Qed9Q0gQYstPoOqvq0ze2ZrZX4kXNq/ryTNc7u+yQVpjcBn0yrm4fyg4dgXASMZwo91mkkNp3AeBPyQTHeWAcvq/erKn93HmvxPJ4cqS7Sagzg9ycS+UBUT+FY0yHkQZDuJM/0lnKYI+WwT++zitKBR4AxykFf2Y4KArRZdZBHZTPN9MW6vQ4BR/kUcuQINNfpar+pzx4Mc3Si77VrivO6F6Mue+C3rhQalHKvci+/vMlCUA0EisH4MWaI34q8/WGcO8dzScuISTZZtUtfyxEATZ2zK0itaVoPosrFJ9iUeBqxU/JKWxp2W6yqSxlJGfPBLpde8bnDXYuC+VLTAa0oO+egibS5+uWBemJReH6tJJidT32YoF7FqFXNGKstM1SPQk9xssuoJre0DbAK1hQ0BWwTE+bFeGNOq5gj11CQiDFIDSnNM9QKmeYjqja+7JjsPFbK/KbUrL6c4PhgwFkF3ec+qxdEwPy7jOfHaPL6VF2HYkas9nUbmmT2l+Em0zkI5rU0JONIL8ANJqC7Y77mQZXUae+ethZ7NUNc6RYiFU2+TxVJATmkfX9QQ6023mUfhPxzxCXpzoO1UZIT3dC6hw7C1+TePcnNttJeH1MdVUQOrVagsb9CHtmrj1QkX3DF5m7+6jIqcFLZtIMD9rNmrGAxoX5B2xLgsw+AOglS0YFt5AFh2vIbWg8NFSGmMhLaf77FJTeUCjTmsTQvQwOGL2RDNijyL8Kj9UZNiaEH3NUGPos/FJoQKtZYKQrV/aZuMNS0A89mQwoGLfnHxV5Wy7JutNI/RHgR8I84xIE7ff1U4J48mM5CHORDQpbjPDSWkjfn+mYMEO68HZKWZxPWACjZkzXfHJC9Qrzqll2qK+tXRLcuvkQjVLhQtUwS6mFEyXwhfC0lY8GEIVzLBVjmQA1uRqnywub+uqExXbH2cPccYTyR+erRvx3Nz5brYzGGOVJ6CkrIEmHMrqOM646guZ5jd51xjAEMwtJIQB1I49HFGeHqAa7zSOUBZkJ7ycsge7bkO3FXiiUHrPBDibRI9zYLUtkXYgxRgfEuSOFLjzm01/6Kchbm85sY7S9GXNc+wvTzHxzbcpQSF44d3SN0UeUcSe93Gkarb5izDc1LfInQG0+7Ga907Nnr5HvpOp1WbDlJ+AbtrO91l6XiXLDNixpx4KkrFKgM3EfufVRFpOJxEIT8D5mF2dQU57uFKklosW8fCii+2IjbmClmZ5Z93EOWI/0vRk+SuKliQ1uqKtKo8XgO4C8R9rT6gDNp1N7qpwB2G7Ba2VwhkPlUdUv6dV5xEA6uuFK2g+UG7iHdxWGjNg+0+lLci6oeSMIAhSw81/H/+PZ8XUld97QeiqsMaXqyVeUeHozSk5ZN7hWmzvhFcBho7fxWIKWtEuOdNLEvIg7uMvrcFKS2sYpzQQstmJfOgwC1uYrVYu/IRp3Vyoye7A3lV2Y5/qdNmuRWiT8q6JsQaYcE9w+Xk+7KdfTb2ScIM8bsIPiqI9PockxM1ax9MmyLN8TG+1rvM8wm9TB8b2U6SFdc+YDXzPs0KgeNlRlkl22dHDftaQ+zvQK/Xc8FIMctPu8Abd3T5Qn6Vd7jMc87Bhe5A4FQP8uL0Q4SYu9qA3gum0WRI5xTCpG1auN8lF0zAzPsCfcJBTUnec1934ZR84xEUW3C3KiNNw9y5ztCbSiyF+1YL1d2hVNNmJMx+FJGmcjNWWRfsBbszQ80BmCi/tVZIgAl7N775r2NKmhmS7Ga918evJXmd8INmGfziD9BT57x2gY2fpLCoh8zzSOfcO2rvgRRm5fZFKeXcVU3tdS2GS2gh9roAjukLw/tzdFDzd4M98qelv7lGcL8ZN9tB8rBGbpCvJorQphjWGeMH7liHdcSrxW709aT/AQRuoU9waPTHa5bH7qPq+jcvFu/eTo+Ko0tQnq4LdR78kc8zri+anYjKZKgj7kobtJi3L0uy8f/F+UTyJHHb5i8IR15VeZPUBfaITDbyI9pKu24H7HEZToMBn9QFXbaiKMK4e7kv5DjBCuHh4JHLwuN4ixiqy1AcHcJ77Hm7qVK2mD/e2iefHA0USfPnUJcNcUPMW2gWXExsZF6zLvM6P6mA2IsJJhbZTWJM+I0m9d3QUU42z4GGHGNBSLV62822IBcl+IfZwDG+f+HGs3ZOctmIoWZ1AaxmE86Bcm7tWl/TapZy/3lb0P129AMSXfW73UhPXHCvu6MxyvCSAu7FXXBfbnwQw4NzBM/yYePvYHR/bGljc9whTeFeln1/h39sqjNJCTzlJEnsgMFT158KSsB3xPP+bZvG8yM6YWMdhQzZCBLX4PIB5QAJ/ycUdY4ks7rMavsCBLEcii9m143dcMAutoGOqcVWpOF10Og/Lle7OyDUkIM5kGj4gLpEGHqgJ3Pjpw0fi+FML3q6IFA2CfreN6x242gTcz4n0c6dmST5t2b4RYlDfE2N96awjXvslKj0G4qyjfQnvIjBSE0vbzZobrxkDFStqSVHxUE7nEErswCk9NDiDT5un/5B2ZMPqBEQtmP3TTNPsqh3Q0w2lsrg+UNxLrrHUixSkA5dF7WoywinbIM/uK21KqnQ+Vn7J5yInmSII43rglSj9pK/DqzHjzkfSAX7Q6qvBEMmlFWR+nHV2gO7Efi/tbvfeVrl6T09GUAAgNGmpYPGBnA0yixEAPDB1hF8Sw7SFevQ2kmZhvnbRQyhh4dkeJ1DUUUyx47DAAQyZnINC1akGAEyEFSEgCbak6t7r1VvQCq9+qU0LFnfuXzGXIQoXVHJDM/9M3O9FLTg7hNCZrjBoo6hoikDcSRr08/tNmuffV7JE3ixoEAC6jXsVMgiL6Bn+gLCcyo0TxFTMdqbpJKrx+Euz1GxzIj1Q/9UCZ6osgH+1UlwlTQYj8N6qGruAivLDIGQF0X04CiI3X0Gj/XtWCrXLBXdm+KrIbV9PsB737pdfBsVov1C5LwdYJXJTgtCaBzk8eP8EsiFJ/1kWSYABofQDUY/IYL+Ez7Tv5j4yxfZJKWQgFl000pcdaV5FGljGBEabjV/C9uXpI2vdcUDD3pBynvTs3RyosHkxuVnzPyjw6/IbKF6tSl/x7+Sfho0PwHZXwIaMl4WAyvQ18caSYQhO96ANl2sRr7cePt7VMUd9pTcU/fFeaxbcdOj+3bXnEHYiN2dQULjM7Quy2XFUK8lFVNVykanCbVgKsvnfAln1dlVAuN3XEL+qMQafaJR9tNmQ+YkYPn/RV2+lLwOMtOVca1MnZFCDckvJBaEjmgcox5iYsW6MKWjKJdaTHyLzQ0y00p2VXon8AeViZOHVoRqMnRQS5I8Hqy8Ap5vtiVyfuQvYpqTqzmSzbBkTLU2rus2ls+gU+ciey/UGMkvQtWc3+euXHdmZM/avhh6vAvSocMBI0eo8PW4tJ0NZ2u7FCpVI+huxl+tXsK3DpiADbFWzPc/l6BdCB5OzbMPYM2IsDassjkCD1XcD+RUacn7QxwofUfoV+3sEUj8dMfS3LDv/qkPCB8f/5BsayC5RlWN4lzp5CerYjTOrYPuSlSjmAMPLr1pSWzmgcOdY1ePcZ93sik9tzVdCw+jH0wXXVlxEpIfHP59L7w7NrxRQqf+Rl8dftgvmGMofDFF1M+qSKbGOsNvfohjBbqqqLnbukqswSg0URxob1MFqbmaLmXEdeVjW4RVtWzNTVDb8X2RpUkQlf9aq3i5qtWBBP+gJAfiaSZMAPLASweiyZt3opLdzs3g1aEqB4OvEb6FDPMvnWKvzZCBdmlpbqqHzsE7pZTteKUtB+SjbrsFbW0QdJuZtJpAx8NVCScKHfQPtoVHHmPofz7oFQ9x8dT5i9uEue6K+UYwxBJ2/0C4EpegIZXhDZ4BdlJJQmhpQosTmwGlaJHYAQrASwRhuG7VtHgE0ZqHHlNJRiRp18flwu3vvL/4XWbu7MuW65b9Zus+HbRg83uXldEntb9OnyGI0ZftaSIBN71Whx+f4q1I302gIvN2HQd0l+6Di0Vy004qRX5BXPeSgqkA8XCmZPOEFXVoa1YkWB2NT2Nn5cwztxvFHCXMo6X0jtTtUnTjetJ6/lidbwETA+1eD0rL881mPq8B/qkuM1jAnRBiNdxWuEKBYUos6MKtXOst+bIDZnBTI3vZp8FEF45eS9B67Zo23DkzszO7t6LdO2Bru4uFIrVXdKZ4wFRXtkDKV6+3lp8d9IP5XPa3/z5/Bw3rI50EAm7TnQu/4iNPOa/KIcQldGSpu/lWRCwUpKmx3GVDdJALMZHxpyhwjV/Cac55X+3Djtg6K65TLuH3UmxZN5+hJl/47wFC8KdybZPf5WMdKt/OhtClfblA5OGq/tCUzWWirUUTBOpIW2YQ4pieKhRwc9xvVwjlLBT5Jkop1/iEFPYIVYPPGFOL1kL8pWAfF23mBHThVdlFwVxg2Wa4ZbKILaVk75yC3I7PzI3fAQhc3KJmD0z3ekWCxnu/KD4P9Vo1jRPU+gi9TssGA3WxmM5vslt0VB4nGqTx+Rw1JPHIPZFxM1Ge4KuaAlHqL9wJsOmqFcwhcoiEF6eUj1ZAEkaA4nfvKzAuIF1dxm4+eIzn6l9C9DYKf42RVUTGs/xwq+g1DanDD1rqSOeYQglq/zNHDo5HR2yitabGr26UmLFAF4jYm2LpVclUbX3QparluJWNkXXgmtmmU8NB9oMnGeEQPN/+0Y3YI0napb/hxfBC3qpwhsm42lT4IwQlvXVGB2hsnQBhUAo3MRMe47ITPi0U3cMqqoS+jXsE/LNz3RwR4vEVg6uEHmjPEF+izf/0lHbEVK+U3Z5t0wNxY4zk4ZqDAT3DxUccbCJNXzZNKttYBJ8cSN5HgLoUISKKGwRTWoELlika3bSVzZOqKBnnQWpqMap3zMAxZULJRJcaxGUNC1u7VSQENP7XUTuWJxZvxk1au/U7qmBNF/y3qyd5iuEFuRy9EXHwysfEaCP518yVLLdPKrLLQknlx4EkbIfMNIu38McXjstbcvQ9Ft/+Tqk4RftYQkreVwxMlekLSXHgbyHR+vMvawEPklZY/XdQQ2I1rxzWFAETbRJjFneHdowO8TJXQV9ye8MG21EcH3aaDumEJ5HvyI+D4/XifAqzzvazWlMPsibN1Zm3eSPc8LH0VN4DPtm8J3Ntjmpn3YjzON4D61Smbj+vNVnTvwzxvvvndPhxrKPcx783q/5fg84VoK5J0G4zWn0mDMxdvMt9nNqpRp9TJArNKjmIJdRi92YnflDnLx7GTsF3ByOIt3W2U8aMtcJg2WXC57yjz7RPtdiZCE1rbKTFDoLYPaag6ucVskTPVRHMMRK+0TEh1d4nJIrfs7XkTPtIWpx/4GIBAiZPgYPTV2BWipiMSCFQDDu+nQPpIcZjzstRzdbPPxW/EX6m+DYte9tHrrE6dBD3q3QHFcMecPBpxAmvalG6FxZmCip4wt/U6vPEuX/2wlM7putk9eEPL97qtaJCKAlSlI4deRDtM4excTeVKhDMp+Y05eDGN4zdcFZeitnbpcwXpbrCZqCI/NjfZPugk6astahBTsgIfU7ZAaZRQpj7DlnHxIvYQKabjYycQT9nyJEbvtyXEqK+GJUYR/FHNDUEKP6oBVZyw/dTqme+AX5SLE+RVCs3s4ypaMr/mqq+E1UxRv+rYIIopyXN0Elc7UMbRJe/VwmEd/j9zRC5BMRp1vE0LIMCEfO2tBg8W2gvJo7DZFTL1g7Y07IffApvz8/yJ1kywSRnXgaZ4SKKrwVyK806N/BDxlyION3X4tPRzKBXkyZ/iCr01anA5/6qmnyWZkXPNNdXlWs2N0K9mrzS/Yu062zgXzRjaxtto3KzPF5/QcKzz/5mJsPlPOGGQ77CX2fKxdHVO0szZZ+mct4c+xykLmRN8iMsq+n/z6yjjpNHTnsxKR3zm5rEnc7AYWdU9vC1ksFD8EXPQHwic41ZgVR1LcZ8eYU/IL5LH+wHfVZPfR7kD+BTb9qtsZDmD97DnvwpPsetmnlCaGeEPBH+ZGfoksOXPqGsy8NLlErSCA8N6uZ11W+Tlp9Zqe7980Ohts8N8/z3413T7HLOeTg/3zf9rtOMntrsQVum5DcV7dsGuByx/K74XllsvssCzfQd/k8iQwpwC81POnPq22Ix4GYoO6NmE6MN1p+SOGYBUWNaOXPQ79/pAJR1bOZbLSVB27e4kv8amPgIpXIZ9BdOuQKnAg0Nx70BlHAe5gLCfNB1bG7vWJ2LwKwwhzDKp+5ifHlDQmxoejih8n9KTuNusvaDY9EcBsqbgQZ/o6nJ4oDWu2P3P2CTyd6AYhVJnQD2f3NQuyEfsgAXH2uSIo0jVYe9yEDlR4NfL2GTiz0UdcsmvaL+xGZUT7STPy+vFbxczd4OpECi99NGWnNaFiOhgbLx7yn00Cxp/zWNG3akrx/WZjlzInTbLzz2+KjdCAqezqTr5v6X3kzv40/AGdD99ztE/BYQReHW5vU0dlipC4Rhmr6rtiqOJArCuisZjPVa3kUvzawdH95CEOUwx7tWZ1nReshFK2yQuY8q4bQ3fBINv+6hgS3vbUh3OQLq1kkzKMlwzRCZHhnXXIO3+wppUoYNYdJ2ZmKejqxPwE1j0Ke8UQgHJgPag5qkyI7ihNWNO0zusPc0eOzQYBmer0lHOw5zclT+0h7HTXn+ZoY+17jLMfyyuQDeuIYS4gnF8IGM8QlNtkiDON1QGP5as0nyYszXf1718sFyG/pa/hT8e4/Q13MPt7LFWfb/9MX5hCEq9sViQPH6OIRbYs++SBF8Ax7ilvi5ABn9i/IDz+MPDzC9h0f1o8Rc6haJxX1OBhrKD2/HKcI3K5aiBoswrLQbh2Lv0rn8j/Fmvf5l5bC/6FiHMa8iPYYp80BtGtc7NoZO66pjfLR+onZqmcmkKlzVzPMsdFIzYf9Jk8sK8fbfjhjH4NgynGZYrLZ8oMYpqu/76SuM8i7OPji6lcqfllh6pFkdAT/F9jFeCZgAhwzo1wGu28K26DAHODzJnizIF/OrYf+QCfxzaUnswgQytM4Hv6hI8u+2sNmLiwYcT1O8N057k1z3wAYmypMml59RvD/8i+atLVlGCVRxF6/LLq4hNP9i7wLrW/kVbRRoZ/+frd+oXLqEPokAfqFt7PpFm5OK7X5C6hpFS3CKAy34ABQlqkXXl4DACYNV5nYQXAxw/wWKxPy6v/ian/RTmkheZv6MMn+dbjqiBONskhOdZ/Sm2KRAuyvM+VI4eg9co5SSVT5OhLNRU6UuFOpmwhXdz0QgsYGees9MtaDMAMBZN/d8aJfyQ8HHcVNz3s9SiVHlfTVVK1+UjEgQRIZsuumWJQK/+MoG1hthCaDXehLvFAYuQXBcc6IPVvoCIuPhAmnEJsz+MRh6Hxa105kql/MAhoYq1nrfZwOTMhdmngCTsvW2Qpxg7Wt7ohb7/qySdyyO4Am/y+8lsiy2CtHganNw3B9K93uxKkczU6uV7NMSKsn6ecbrpmU2TU72lnskdt5lxInM05pbHLl6JA/PS5j/fgn0mUg8f4F6cB7zLNoCvBqgi2uuLBqlKr/rJ7gn0icTIy7iitQI/H2/MmjJRxtB7aPoy4CXveP2aKpxLc/sNMd56JPBvII5XHRqgrPej9RMZe8ieNFh9bRHkrrEwciCJmJMflDQJfs4r7OslFOSdtULpiXcIhtWZEijcyZdTKuA5HRSWe4eChBmUZSLQ1zKbEg8NZcS4scAU+Ie1LcRD6JrNP3tzPwkbps4A1t1pFJa7QiHb8p5bASL4tL2HWM9ikrCCqFejRJDyvgEUPzhHx6xapZSGnbr68ZOj8hozQ9mqfabbWRu6vE5KqdUsjN/oWu713wK8bksWFL2HXJe+XQIEf4A4J13e9tJcwj2q05IiQa6TnafjeFemPFFCImPLesLq5OfKA+XEKls4v2I4BIMdYPkvxmly+EdJIhJecRHogSDlJ7tEU8EsSQEcjM4rXp9xyLaqVSYJTU1Ei+xL2a7+TsadXtD5L9QREAu+mMVCmKuf+R/aEPUrA/wjJAJA0tCB5KsV54iDhKCC4fy6UQUQrKvFknfld3rTPyRlMXZuCB/l9TeUqTmx4CHbKH9Kiy1gyJs62fc6x3UbR2JcgLI6K3mA1rI32cjK3EG6toGaGi2pMlBslnRfCzft8yiVpR+n0kCvnfFMuMxZWuucHLmYk2elF+NrduBVSVQ6A6BnmZ8oXJ1NBIiIuUIwV2GaBkGc7ErncKqGc7xbRYcsXFXP5yoF4R9+VfiI8tjJvWpsGDA8SVpYaCkVLytXawoEFpm6FJqeTso2cE0s2+V5TbA/3FYe2K3QPdbinZCMktNnZbAyAyXpqSI1eOK/+CbfhW5QCZWVLsr6ba6RoN1ozSTPdIevaAb9g4/A7jpMl8XQw7RlstMCgwgB9KarwCvjIfaxErK1K31K1k4h+DGx1Wz+v7wiaf6y1zeVuEVu/4cSlxzf0B4X5PhznOF+NNw3G40AMEPbqyXpVZa10X7/iq0UkVUAmSDbO4l8pOjaKGHY7rMLNx5Smyr04FIfp7zncPyKF2Z/JKvP9Lsuy8a6cDMAx5pmiMhyo0Zs4El8PaPSMmz1DYZ/oS5bsMY2WU3WQw6XWXXfFXTyY8b1RQTUNWrOcZZQsnhUWfYzXW4MleX3Q/vCrxlFftm28UwzyiCkdIhU95G0mIDr2kl6Cf0VlyipYN5PUJGSZquoZhsAFVJaOM7lsfVGBxG6hVUPSZoi4PkKgyA5z4Zb9kDQYgTM2VFwH6rtBJgXugdGIr+Bth3PdEuQqJj+cB/aDr/WUvheT9JVNZeqyPsswt37Lovdb6EiD6VD4eeCL0XlI395WmyhDq2BBH35AvsYrcIsDQUxnp3S4N/uN6IdYFm4Z1iKX0JHV6JONpsEjiZIjQqluPoCRSRWV3Tpxw5CPHJU99bNvHYC4g2h6fBOQeKnTgYO6mKuSEWWLJwce/dbv+i+pVgJdrMq0/XmC+tAL9qgHe6BWXC++Pr79LKITOC2vyCFmA5xZGf40X/crihEvVu99eatzLfeLNXwB8NNc24hc7927fT3EnGma4ewU5hGmqehL9PhZij+tw0wyyIVI4X9bicxqCRq4U7G6qG42+ss/euFOWZ8AwjemmtYaaWpF6NnUrYF1zYHD5J8LojLGsliDjgpBvO/nFffIHHkDDMSeEu2+V4L8aiHuxFMt7AQwk6lQk2K/304p6FllI1vA99H0EoscqAIWKj1rs16j70wGyv7UlC6HcN5URjAFSiLBO0YEemJvu8GVXDLu5VpBrnvIeXcyHbkuxhrNHAZoBijoTkh5UYR039mEX+vYB5Y4qeOysGZdQXywDLGZqSDb5iKsHRA7H/1f2tA8uF4+wU/vfGtJ5UK+b2mPFg1OQPocT5o0R8k+GWjsDgJt6QKU+9C5PG+cnffIYF/CdrTQ8txz6QUjX01f0i5/rZDq3tXS76S6BBOTlQpqvQ7vy+tlm6bQGyIZ4tT3tqmyEZUIt1RQeOT7uy8Mm3LScHuqb2+cpP8r+DTfw0a86SeGsRNjE2O09qliaNLNq71sbtCllwCPpt1LJb7rG4h5vPVgSaA6x6kwfouq4OeNkWYl7iuLwZ8rLfBhvzUvYsFXVOZeKRqw0ARLAl6DeCho2kdHrF84MS5lmKJ+Lj8vzRb6QYPzcMsiGvg+Iq+dJGu388G6M8k0z+PkMzJPpxvrx/YqxUrqBIrHv7O4Gl16u91iXgN9DnT5B81N4vCrPJ6bENK+rniDe6VTh7L2B7vxxq5ubpCTVQG5hA470tKAeZUjsZWclKkyc015Z9jc6/k9BFIxY9gSfAvxKs9A2eHTJBpZtKFKTVSce+uPPilvm590Bzui5rM7TmmtAobkINjkoHoYi2SEYBDl9m2HScEPrcbpnEYzKb4PuvdDcLhvQ/2dOd1t6fvFw8mbxrlXRHT0qBCqV9bqaPrj6hjStKfeX4T00Dc+yHC51yaxgr7iNbbzdyr6EpZ+a7ydfdNhnq71wzyc2lXP5tbHEJ29vFt7t2PqiSfVn52/+ktlCu+FGnN/B+X2B7gN3F6caEgsssR7Pu1UfNIS5E34zfc2+Ow+pw1B9EPFQz18fZbdrXOIamWi/s+GJn1WBd7/zPexof0O2deHOKZaKCFrqPq7cEaaYYT7FulsHRWo6CFGkePpwQujGqN275EgWfcMdSfunmX6tdbZMrS9A6WGfXV5Y3ttybKQX055RduWN6Mp3JywOjpWuz2rISp6A0VU8VRm9NvWm0YhzrclcBMP+Lgqc2dxecFe9Hl/ItPi4hh+YDCFP2ESZ1TjWijoVD1FYNmCNpmnj3rmRjAYImXnpvzCHBWvpV1GVwAnFcuLDGzO7CNMWj4mTDBGwMMbT4zHYuSEHn8lFaiEty5tANI2dMTn3MAiOu3xVb/VoTj0WVaC4W1PcmkCDX4oztXZYdhDi9Utj9zqZ1//WGLwoPG7dniZEOTwwNyaRGQFOVXfCE05Cs+bXo6pEjS9Y/yyuTrSxtzLFetVX7Ne4d5/wH2sEJIY4bxwhC/uEDBris/8OoIJVJVX07uEJFOf40+hDCFZMTCfq3glR7LFSyip0L7zn3L0T2aRI1VPAxLSnuau7bBkxJaptvygXprRht7mvXsKUHZ52l2/L4saWSkvry+eMm02LZ6OmgFz/6rG8v27Arni7Ju8+KXJ+iObLnwUKfISTTOXZNuwPYtUnGraJzpV2SPE1vcFg/hDFjzrwEF/3rs3s3a3ZS1OSr6yzcccLUgaHeXlremg+aIDGQFc7ziwhRS//qdG9YmyKgm4SZ9NKq55Sm4fcrJEEl09IK/oxWsflk1lYXJLn0wum7ZtxNkvNjuqYUQ8tHn0zaQOHvGEq57DBrxH4BX/NjLI+v3CVT3JCp4RjP7XZL8UvwooG8gNBWoR4J2lhpClryDhhDNVsmQ/btxf/lAB6cQmW3litt9mlM9EPgxaqXh/XyrdkV2Qru9/nmicq/HR3Crv6zQZ1GVYP71jJu/g959gO1fdVz8526iQbIYK3SfgiWzIgrk9IOC3kF8oclybLKGE9fq8/EfzMrVp0vZrF3o2YrLuOssPom+Nhd5dc5WTpQAfVLctTm2E+0jm6qbXktzR0Vdq9hlzbiORZFzlXm7fYMNFMjjQcZ+gfW1SXRMj3JyVOZ6oRocbknWHdKflakQrK2RwBJewlGctuIwrloWH1QiluD0NhF1q32HKfOnWV8NfHTob5B7xAcMDMAL8NZMi/RhX59uWvmienQ16+kvc8TrOxvhgVULD70tx2qen3KHpUTROxbtPHunW1nRTg+rEiane7yaTy+4b0//6frV3YSbj+D6+eQ+wLUvOWWhnQRgU9giqOI0vVkuYZZs8EIEoevoFTxlgJRIHE81Hc9o/wL5wHZ9hfzywLBYIJaUZJ7LLWJjnZx70+z+dKDG3Xdc4RrBBC/ECHqwuTSKEq/1Wf2sVQC+j4IF8zQ3NVHy4KeAX5JMvhNVR0pNVIqBd9IZjDVx3byQPweDor6qgwE8MvRMHM02OYpobceAcR7uaqVRiSBSsDYN8836ow04KIwbEOgIA8L8TjYSdg1hwndrjp0wWnMmy/zZbRQygfnqfdyJTxSDzeZibaHC8yyCaxEQXDcFiNkb84ze3G+T3TAd6NW+fGmLuN5vD8rQDK53t4jzqszHJcUucNxEuPrQOFo5NMtKcGfS+7qh87KH/89z86pzil7YrwrB+0tZuLr5N8vjMCPPSM0RVcbQEpTatfVbnv017MIzmsvt2UcIa4tECb2vsob1JUcj10HufJnDX94YzJBFIsmuHBVaSd3uDlVLdas/7o28XHpJ/nH2ZSJ6UnbYyeCQFtstjs2hI0r3n0g7BqRKaZcTaypLnsyp9mT8lmU1bno2b+L24YX5zDerMHmm2+USEqmRX3abt6By5dKika5FcOLoLfSWMz3sRBky1v5YHis1dVgU96nG3uThw3zTXDWVIjx+Q2CvJJ+HRFmaX4WvJ2b1OybDlW+rncFZt+4sJeJRrtP03MR4qz0RE6UTY4GfcGzydoZ3wbrSe57LZAxq4b5WSNUEwuNkFDGKq7a0vcO3ds+95An9Qj/sqVfxna/GSnlv42p5KHugmxRQ4lKU7eAnZXoF9tmuopbApc60k+zrjEChe69A84FHy6dZLLwMszSjww+R4lffcjGYKUMVyKreoxVbi1PHH1VWI0bENfskU+TfqqEdSsEh13exvZdh6RhhsU/+Wr+gxq6eJBU9RjzQ5r5Sfdt1PbZIfiuChGF1pqzUNNZpo+JenW4EvSzP2skWae4FKRHV93wuVlRs8iKF2VWRDTpJVVILltwe/hU1rkr62L1jHH7HOm84If3r5/nbhotgTlxtAD+IvXVTQT2qeWNBY0e3q8T65HxWq3398nGhLz42kXVI+ymOKG/6bGs+umxJS29dhvq9uRPSaw8dby0Xr5RGLbsKau0JDgyeChqOFmHvAs+bJk3eOK4SH9bGp0rQUl5ES/QOXgt8ba7HbEm73wy6Ey2mQqFHUZnizd8ow0p9DZ1Mn5ZjSkNIq701ImPZrJgbrVk5euct4fmekn5k54+F4xpC56xDNEoBkIqkKHYfW0MeeOKytXpIL4r4cbw8KQ7u22PXCBFmTZsPTYvehqZTWFX8DRbLRl1H4qswnNH6I4hkRXUM+FzsOervbBcO0woJRPuqjD1JMeraEsxZVDXMIu6bdM8OJWfDPGD4F0B40VdwbbVInVdNpjk57i1v7DeTBNvBQOtJZi5z8GF102kunkJp7mK1TqX7yaxTrwzSi/9B8dnoo5oVF27/Y1HbPSdQMAclDAkqdYlCME/1MfmQh2g+OHpnM1x61q4lUtr1alFqEeq2f1unN0XjUpJBZ5mOc/APFL2OM7WuQFoJ+nFakPk0NBhUAAO3skx0j8P//GJ7HlaYuF4ANSIIVdmbi6PlgWbvngT09kNYz/koa5LagffHti7QCJh3w6FVuceNiSXezVgBsCJLELJ45Mgb4Ipb1DcQwzmn6QunHcPcZx9S/MvClXkz3ZbJghYLZsel2/t71+E1RwbESfDsRib4OUDeopxRYGNhuuexJA0J38orRiRFd2Lx/fYOSYDXl6dr6Mqv6IM8QqBZTdjp0m12rfYcxJugLLqG3YYmnWq1pd/xllk4OjIrt23qvI7hzJHbI4Keq27xfMCp8+yJIsyeum5U2v5QfU8B8NOdd6HMKYMW2SkkP70p1I5i0iZycU88X32JPnF5We0520OWi2rTLvJgSQQw2Ljx8hTXkvS+1PZHYqETNGpYvXY4ECMyi27YquGnXV70ifNHbc/sHSTB6GxDUc1MzlODh6rRk9vYnvB1fHIkdRmhZ8LMCefhYFuI5O3Bvic7JBksB6TbAZYL4KNrhLgxYDdzwFgYsBM7erhAboZRI6XGXB0Sa6Gh+9POAHMEQ7wO+HucyhpjUzBsO6pKZBUkMmhKtLR9n1Lrlx2c9gH8FfCiQ8ro13QN4muhR26+joTsIhLonihtQD3rnVeFwIDeILzT+4K44Eiaug18OU4Hs0FpW/GpWUsiZTZBhZDhu8/6mbEmNQDhpwbjy6+Whuu+ojrrSYgxWkhyiNPDtu+kdLiwpfJ82QGB4ZW9UJ6kRsHv0jO8+yhvc4eSyr5IEq6HzZ+zJ53vR0hvhBBl7d4caO57yDJ8j2TRTZq6Xxgf82NvN7XNUxyZagAFVZCKU86HZL0+SiLK7lle+pljURtwMkdj9Ny/fnvDjFh8WbxxS6nJ+pOrjoeCbu7+b8N47jxtTNq5eXDnGhicZsrNV1z+2eP+Wz9+d2lpKd3JhnysO8o67O74Ul12gwfJNBniW/FNnR5gHxyS3zqytT9msCPge/m3mJ5TSlH1m3enAz7mZgKAttt6l5VOznzb/IbFJoTpF2SzuYqOU439avRTnUquF50flRPc14m+5g0wY3QyeSxYyyyQY1xXoI9pd2VZ+RHmJ56SqFOh92MjyDfKTBnpXjNAjO6iHS+g5+XmLNBwphaHI8teLMHlcOiEi3+/y08P3VPPhWCQ9sOolq1pTScBQSvNLsVMD6mexvSkRBZTRjzMOiZ/JGoCd7lUAJ2ejJe93Jn8ianzdj/PpWlLWy2eqPgO9kP2EfbpUHJS/BIYWV9MX75s75L8yvccUjwoHYjmcAN3beyIj96OBS8H4nf3/v6DbAw60GX81lyswt+7rIr3d8SSAB80ItMDJq30eoj9VtUztWYyZccsXJYTGYAJSd+gfZKNNm9LCpFPOflHx/BQdFQV5hkeIj72PYtv/B8u7hUtAidaJUufMj2+tZdTUI5QSvrqrBSzUbDWQMRoAWKY8DhRloU8zTgk1U3m8ZBBw7iriiQiKAFwdUdliQvT8OLAxJy08ZhicJ0sAMWqo+n3WE9x3KX6c/v1FJMDxyKcDFFceubqXirtxjhp7DXvt68bL9alsGpw5vOY1Mf+lI7dAR/8X48U/rmKpcU/txijRW1iHOaULoAJbM1df1fJKONCu5FxPINQEVrjpYl7lMSRu+I9r0uuFFzbbHL7Dh+9kvzoVxfqWgIU9n15ky1Srrd1YsEOu/jdaxonyDp7euuyd7NoFa8QuwYUkevs4GCkvfjAfkTtUAfehZxSZol00ttHfDJwB88KeZJRbfk1N/yPkosURjia+AHGru/GI9m2Ka7wqRJGGO9rSKAMafD7SvdO6pXRGO7V+MireQPRSaS/hoMaIluZBXc9VtTiDR4sUoy2leEZ8ltKmF6KD5Q5tHO2Ps6h7WUrxC9BmbvSgCKCDbA/vKWlxjzTeSo87U9Y+5mriM6XagtbuLLGbl5T/BLygGyYj+GIbo+4l7KDZ/YrhTdKA/67euV54TWfxK2qD88va+z7GE30/6ZJbx8y/Esu3+aF7YQZHVnGNb99F8FJ+dQX5veqjxFe01xlIsSHsCVKUYV+Dt7hUiuVAoUiyU4sru5ROUm36kIDrfyIEuPWEti1p1Fq/7aE7VVhQksEV1newr+MqEl1yaBXTcK6v+ZWyE4y9gmXv+yNPrnI1b+aLk8pstMWZ184B8BYoYsogji3KzReBgrQc+OPkvcVzYIA161kd57LTBanaTmQNdoMHzaI1W1Kd35YaHw7xpvmYPOaGWCGuglc+0g+zGXXtLAdwSymQ+vqRz00/49EMakE5fH3eB7a6bId4OjT9tFYP2uEh7up5g9uk47/gvzNXCBM3hjL2xBx1C3n/pqNU5LR/RapLH4x2JagW0U97rtiwPFAIfiyxcMbroAJDcWpJeo2vbEl6hOT4+SzygoDN29MqyvC2fxrw2Yb584qkrd228dMkwXikAbTU3zajOpnqGsbA6OU/95Fx1SL/PblYcYM0SlWc+/UD9IM6YkaKIa2x+X4clrsAP12o7kyKXNS3X3PDV2HiHRggZCYmrxm2MEqqP0T7vvjY5Z3HC7GzUOg2j3k/93nC5zOEh/z52EXpnnG3ipsS93tsq7Pv8kveOLI2Jf2/7Y8CVXSoQpup71AhDqX+nAD+IeQc/k/NjP5MSHepK9lGoTMG1ivmqFd5WIwJzrZpXXTRDMQj0OnGjXNS9bhsckfaxKLfB9mGMhi5TYkmStKEvUQSeTpGMSQp6jPYxlgKXzfq/mmh4gZOw8gODJhbBGIWKmkKhwNSDIxmtkUCIVXFefF2gnwk4y0KBk7XQyP4WPMwyjG/Qzgw8g3CSDNiZKps3jx7nDht1N0yg6umaWjwR6bmA1oF0G25VVRnZK1y87S+s3IaTDTedWHfts3Gb+xWdaWlTfWvb6QSr6Yt1CWeR7t41rdY5JLbJpd11jXJwETaRGmrEwfoXqNLW8c0NS6zx5We/YbIRQ6qdXOSLUdJddBXaFAvZyNl1vV4fz6JkLTwFRTOeKM0pshrJPCYomwMwzW5Urd+/r/BEPq7P0tf/haosYt1qyFf58hpw+QDaTH/qcc0Yh/RPqA4DNodNnxgSXTdpb/V+njgNi8ixloBpdR9e/iUxzu70zZuupcOIK9tWYJP9VEPIKa6G5BVQTINaKaQ85HMbcAV4B9Bi2tANYDk2l8jkj+IvV6tW1+6qpm6Ps2lKKCaYw17lrs0QN+B34qBfjIu5WLCqfPBxPgtIMvsBkFzwYPKdKr4pBv+oBtQIoeBdUKt1+qgUITU+oK+QweDj0waf8VdvueYQa5VczZW00XOiSFyBfOrY/7Rv9X9BOswd2sskpF8YmWmf6aezoImNsEk4SHVomElfMtX1pDC9le5v1SuWLlTXeu8UeKP85uStjyn3cEsbmFIAZpX3+hKlDU0z3GquxDDRtJ3S7pVPnQ5Kf4p1yLWGCZD/Y6LO9U7WYu01umu7XE2QvtdQqZgjHemxcrJWnKCdNjR5agoHH6x8AJTPEJUHSYmzM9+zlryMfIdDPhuIeDnx+JblUF0tmKQVbcxQQxYF0o+qP+uxeny+iJq6OIe0QLrKZpTYXBRSDokbmjf+f/HjrOlesuk33HuqT3gJn3Cyi11wXrApCeX3o4kyV3NTRT81+BCf93AkKbrcMNBNHWpd6FZG3Wv3X9W1KLmC5NDEmFUrVG3fGo9tsyvqdZCBuE6Iuxng/ViNgrzRu9D9Rt0J3NXo4ppp3nV15YA2JCINsXd/UKHMMZQ1/aiS5lxD9+PYAx9VRi5tbZpcKdQc4kgoFK/wco4nFYfdWvagDKuGn49qgzsIwHYGOQOlJ3QxLmGOeFSXun6o2DbTUgnRepYyBaBuzYBl0iYfqDmQGfjgoFyg5dclBl3ZR0Pjq5rdUDIY57pCHtKeNS+rSB5QitLlHVpkw7YmAY0GM6uroDVFQjzCg7dI8yi4JtlPXtxZn0DF2DcYDT8XONu1WKVpHLnQPnNEVnFYPeMJUJolnCVkd/JXfkA4Jl+lKEDf2xAJGNHidr5x7o1JMpJRYOQEnmND/mXyxnvdGwUje+MNlRbTx097dq0S122ybGczmwvWEy6bQdYIFOc267QKb43ZnGf5xr1BjhfjiWt6lEP8vw3M8xFPSkCX2FzGJSYhu9IZO+BM3mIfrIrOvxiV3XF389eum++79ltXcm6BtlqKzgRvaPCfqYlwlyJB6ychsUCm2EAfYAIGCnY98rriBtwfnoanKCDg5CCR5/1HPXaoh5ojakBGRYliF2/spuTBsgOn0RV38fY6DdqmeUkpFpTDqW3klS8X8r6blTizYwjTGCk0h/+WNN6xKnSAL5lRjiQzivhcHGdeGuNvV5UFJ6ZjD6+3F+fY+G+ZhNGYSNFYxpmzphek9f5lnb7YvUIvd+pBs6dz53l0mpoZ/K+9IFaLnom5HCD1TCyq8Xyy0/ODfReXsRTcI4k0P9EaYYR2Ujl6Xc7o4d/5ICdMt5edDCMcRBvU8dAyXyW8Oc+Tne8ky1owZqYjFTLjpLQ5sf8vUlZIH80ZMz+udQvE4B9JS8Du4nq4o1g1ynzq8G6EsemnIeJuau8QKamscpC0xnKHd47N1Kzl/IdGjOHzGxKhMBR741YgXvxZgkpJhchhFhVP6Cp54HndbmgeFiNHE3HaKMitp5mFJa6erxcv0fXNTQPrkx2X8FhlX+tRZsk96JEEcPMaV6ZG1gYWcTZ95ZPq54ywODyYorHlIPmDZsfA9tWCPAozQdGdWGI07XcslerQTOyLCnDiJWrMu/qBFFJnyO8VmxhhZ4RqKK7m8ka97tzeCYjc8nwvzWG6GVpvUJpUVyCj7JER5IAXfbrh9yQB0FTfPCHPY+5tnjCDYyLdOHFhIYN2L4+IKZ/QUGPoYV4sV+AMGGdFtfckbovNQZ1H2m+kDyzrikYV13TDyJNkMj/N1/FHh1RCgzf2NAWQIP86NAslmBfML7rhdB2iiYB3ScbuPwmjWoD30RDy2zP6rpQ1ChnwM39kJuFWeFNEUnwjLdA+/6AKny0DfxegtH5XyXDJyAlZF36IvUHk1Lp/CQGXDXWq1m8GuRj7FvFgvJrCBg9sp81wFdiDYjbiiUX5W0fjZAdlAbwQI6HE4UzYHB8gDXKd9S0OtEh7+YjMUI2YOnyLkpN+xC/mkJtU1r5iL7bmTQFyqHFw5fMI8Np0imZ8njORmUzrEbo7AW6hxFyJAkw76RMTobY8sddvLPFSNpdVdv5wEYnmvcwQq4R01f+Xsy/LrlzHlZ3Q01oEW2n+E3s+V6QYBALkzvrJOuV02pA2GzTR6PWz4GVVEzApyoZFntY1qYS3rUnSqtm6oomlELYZZ7bFX9i4sgWHuI7ol1v1Faj64OAV4A028DXB4k4gDcUJzKMqHKmGi37b42Hx775hmeP3ynyvz5xUoNO2yVC/ghRI8EHDsWfuis0zTdzR40PhoOSVndnjrV8JGPEdIhQG2Zt4GkYFKL5XdaZ5QAbdOhQzT8qs3/UYpTeMF6c8GoRTeN8icCJZVVVh/k3v2NHy/Q6r+gH2jRkWXsWFdvKU+PnlEtgb9QYwGKyo9SxGkFl7Rwd62WMmYhrWBqjdFLCGtdjNQDzz2uYLdE6CYF4ZQJhsGTeC3hNs/JF+QU87IdklKBYJGCr3C6RqQtSDB0TP60bMM88OixbyIvqatX6tUgVE889lSSemDCuqm3KrhKHhp2TihPtF86IK08kSvZeSD9F3VHeF+1Uky+qT+vGPr0pJ54sMNvarihUcQRaUXoU6Y3zWFA9aCsQ2+wt2rWsz7SdkNc32YQmFgYEOClD8gjYByoPiaGuOLFocexnp4IQo0yU8+zOitA+zvqYf1cOTtb/WZvr84OdczQZEsKesqrLBKGFjBmGStauuWLIbXtGthnfPAmgbQatBzKwsmjoJm1rGt+FsbkTMFl60No/acDZncdJYy1p2dhnhYH1BJTICjW2D8x2P/oXZlvQ6UbVZfAW3LntF9xB5F1UdekVNGV0bHBNoopivwORTrhOD6CSsKjvAtB0C3dNJqe+JoG6OB1on3QFg6bZk06HoVwimjllhrJ+ZykdF5lyPHdQa/fo/d2SOQIohlSkiO1NN361N4dZJl3IzxAZqVQsgT8Xnrt70zhSQaZ1gHzDglynQvhjXOaVmZ5oLK+mDprDxS+Ciy3x4sGP5mzDlwKxzkIJ5y8jyvSXPqiojwk9lRn4jLx0d9H7p3YS9rJfKoWeMtGN0ImQFf/lHX/5qr/Ak7FRqj8EBBba+D046B0qE/PMXe3wPzCKzrosEOPhD77VzoBfeScEUBLoLGQ8CUUz2nvLDTNIUZ7KkQ89Sjzy52QnlFTfTKVqRps1MK2+VtMUdI86XW1Y1L1NcYtJ/s0RKo/Mzpc1luqKTK7SmoyTiaNeGxxqoLN8vY9HoAdW2UG+IUKcz5uMSl7xpNPA3eL/0S6qixmrqNcrZZCG4OlyOkRsbX28UqANbkbZVGg9sNqpH/IPSUtgoCrrEV3me2RTrHvVh5Gdvynt3iehe1PReXwwPaux2EdwUEFd1xTZkPN/WQR2dlLezMNx96jziuiBueo07XlG7NGqusgxPuypO+hCHb6c22SeLnKBlaAmRoUMS243REzcPhyb1kprEUBzdtuBzag8DmvjPCu7XjuoTpxx1dhWkfbe9sNO3iy4Nh9uZsQX9Rem5kcYt436zh6/fM2IXYxFsfDferUtPAxBRbX21VtasqY6DbvgkdlnxTvRI56OEtUPWjIS9aeGmvQ5gYdcvd9VIp8QPwmzGntKZOZ724XVQfLriD7kdW46SxFOxiufh10bs/QS9/8HEYYSYWRYSXcShHDjWctbl/xd5iyiN2El41bZjsLsNO/yTHp91u1kiDK8ZWHtz6n79SejKq31YkDFJz90L671dnzKoXJ3xVV4gj4TSrRPH8OFNpTukpwva955mHnDjD0/zztY6oGjIyMVXYb9fzbn0AuPt29zf093NCkqIR0TdtjT2ad1GV8TbpCPECTW51dGXNbylrDjli4Okb5b7XYpvG0hqeCUP2vkX5Vo4RbZMI5136Gb9pdXENFAhummu06XoMU4o/YrOEoVd6jOuAmVoUkrr2FoVGE+JethMUUcGn7eYqYxoRVmYqtu0KuCCwi8285qLuk2Ty7q68hbAMC9TgMhn8im7+uaJInnFL1P3Sgg+ztLEySXMjz1735YhnNE6YSPLOwL8hsyVquOBI6aWpYS/L+o8ECP3gcVANWMRfbQUtomyWJcmh/SwUbky0uGs1fgbg872bGP8xqBlpxoVDqXHzl7Gz2viSTPIBBlOWtGFMqkoL+ZgrCn7RG2tiqbAfVJMYEaWupgEm8nRf+2DxjObs0c5NeOD18m4ft/KvjzQb3JDF4tQQUh+ET+k8r4/OJ9u/Pjc1jwEWOnxfPEJXVJHT6KqhbLqX7DOXOQ6GEkFOVbjQ4ckUII5ICxtGtG0OCr52ClTIXkl0Yyxg9sSDLDAxuyDd2foeyPz/1rQjT2zBpTDYmQgCCy7FQrSZJ6Z6AfESYRglj4allloNht0mmHAKoVqKcp+TvNB2yDIXb+HT/7/FfH7U3+JbvZCzBTCXv7Nn0T/JAz9W74x4muTHNDNMeLKfF5WaFT05auTPrsrxkvBeP2pOy3jeuXE+0S82xtnlDTuf9VRmgNeikC1icHqXgITHvY9xlfZ99uxLVTtBrjWiNSPCGjRqNAOg+UAhLsIU6QI6CgRxpqiHuEyj4dZTNfuzTxluR7DHszmNeWeynfk9AvJfH9dhOFWAkN5QUROg2Oj4JxtkZxKgGf9SuUsyVFDuimfNdG9WFWBImRmpntEfGhuvQxiXsHvnJ925FPs0dtyqA92/IGY8+NUyWHbOnNy0ug3hzgVTc5ErjgFnwsXNIocU5gVyqHQ2r7ouAor+jSwomK2YeK8NMa7GdrOelFlLt8vVDHhunkVYFehGWKOSOvyqQc+WaZHtyLNXE5TMP7Q0aMC63PrTOBo9tKc6K7HDfpbNpOOPdbBpqn5azKVG7X7+6mzgH5Rk0Oq4Xo9U0rhQ8Oi9n9CBduFoiKA+kpN4VwFrpEvqevRF8V+jlRg+WY5aWH1lbWESTTfItxoRuSdJ0ApTrfkUGByB8Wf2/inGgYCrKu1VqIqz8kVyjaAq8I/kMhP2ZMn34xzTp2NKBeC68Rv3uqUHe3CmC3AzNRvynKoVj0QwqwaR6347psLNBl9VmEHZKR96Y1cL0T5eNpHye+o70zC4y8j4l9MxL5TtIbGcVlpj8uSnf7wISofm8J64LUkz382cpGFuC+ckqsVFdwZeOCzxy/E1UApsTVI5eYC7atX9a2VScYKJUKJEfkZMT7iWaUKxX4dG15x25I7uI+x0Wd9XHYFHWbpFMgowOSjGPFFR2VX4mjuHmdLTHEzMr0pvXcNtYSTVy+Nvb2odJ3TuRxhluaYfSYXIWL4PWkzUtkgqX9AnI4oV+93rsjL0fGJZHx0VBl/8Zqw/9JEeHWD7270+Za28W0DvIldhh9db1STqqM4H97nGUBcXfzhHUS/zY0GJqLDRLxTwN4n6V/rDocZbudXeSJ3SYvxGHdavZKp7i5tvaYDAWHfBQ8nPI867++ajAXJFbeawr5Qrezv6pMTr3jFxz3zudJfPVD30oO28dewdu2iHn0N1S5o3p8kDdRcl2x933zXIJMhi4aQv97JGnTl2lPst0sTOooAekHDJDbe0E9q3zK/GyxzqAxmGykpma3eVkrQs1kJx7oSaApOdavGtjRNNwMe5+L8DdHG3RLkrFQuwsWvPZ+Nt6kIRpA34WAa3lcicwcDNmhMsfZeOw9lzaT1cUmSgieuZQmDT/KWNEdDpE1VcmJBkIp7RDl7UEi5xc5grwCWZD4yUYa4dI5T0NIro4ksiyQujlKDFksTkKXJakgxQ3dsF64N7TweINHxJG9+FoS1b5ifsbKbdRB1rURJWTqotBc6URfDMw8ozY1WIi6BoY4uAzQuzKRhh6zYtWe/OFNIS94Vd4W5laqOrK8XDzOVU5/XFn4pFGtVczk2a5e41VHye2PxPAnm8/4RYRXrCOErulwn7Znov6R9KcN214hxMmzjqTgNbkWvPT+u5FK3frZVmiHe67ZpRq0ChzagInUlRvvWrkqFEvSSN5zOZpF8YSqRFaOesMbZtCSTNsjTEgxNn06JKT9FivrLKFmQZAqYc1bHzjDKTzL8pR33suakJZHEaICQhZJ9be0Tmsm0on6w/yGnkNS0RRQFl8awieoEezn9lagQH++gjD5aLGxU1g8cxnBAeAuJsTXvatQOJFcl4pjmSTKjzxkXI0c4koz8R5xf31aSwrMYF69C5W5uf3hT1C737wdh2icXizJqhRaQ8AtKIEnDk4uWJCmq6NEyTlr6LFA93GzDXGDBoH8UDYX/4bpqoN0BLPBnFfoVJSlNtetQCj6xSPeoFZ+afYAGXr9iWQM5hJ6V0lAZ/NvKT/FGxFVVXzY5stnR45N5Ir8ppmblPAKrDi8my2dHHWXLfZT9LGA9DUaIK3uFozwvWjhcP9BQ9t1mqrO89G1SrKQLvqPBiXuI+BrIe6B33GR0X5TNRSwf9sUGJvwzgGwzOuoBgsh4ZtcFAnSaTigTFZl6lK6DPuMzaZDEUymWZBVuLEStqKkmlXKQsH54xuSOtuX1GJEwWU2QgW4x8REVG4Ka3whnnOlTnZNic/K0U49353FznQifJxHR9RyfEuOoI1i1agwwPZXWgP7JTQlBMeKqhphbfdpF9D4ldohHj7Fs6pFE1QZ87YBrpy3lDTQToP7a+qOLe9AKnWdGV5hfSIlY6HrOtmOV0i1WimlnrC0nFL8J/QC9FY8vBLtGzVwzF7R1dKKiq6NzEDvn2LvApRD+giQiYboyzL6ohlayM/09+VEokJvNfxsnf+yyuOS13aROED0HA/MH5xKw9ZP1wcjQUDY6rz3Fho5DRCF1AQjXJ9oyIo9WEUPcpuhJTjf6p+5JSczDWCTA0j3LJKbOF1CH5Xnvv7xx9plSG0LtN4rZlzG9aqhf8b6ll9daF5Hfro7fQcLw5zs87cOwu3Pxe1nTOnDYPEry+xS7gyK4XHONWN2DHaLT8shzKPR6A8RZPSZUEEKhtAdkiBZ9oQgapwn1UMd8WRVtsA9S0VLbD8DN+wXYgy5zUPQoZgX6BEW4cvuWexCTvlQgOLKJ63jwEpgstjVLw1IXe5b9ob6IE7kgwlZtR0t4nmXiDL8oHrOddTHMKOOCbY8IgX9AdyrhoYYgz+VQMzaYERjDKE8Bhgj9CH9QOR8WUh6n7Ij8q/TiIixtBJCzaitno65qHmPgCx/DSpgLVmOvgWz8oHKnCReuKkUXupJOGCNXMEosV/F0bH4aS8yjuJTHonbK1gZA3DbdZm50bedSwatgR5TtsQVgUPrWRfUbTeMDOxJtk2wc5D02BWC5qRtW0Yr7QEGTRbtT9CiiwvWYVuj+JImIrOqyWQ9ebsyQv1hXJT/uixpPQBqqPhi3I7f4I0Iv1SC7Rp4/pwr7W1h+4P2eOekQnnT5q7aA4p9mwfVgmTywVK1Lj794lwDYnSFT3pPGvvER2Z+w/9Yv2wK3PAxf8GacoPtU53TpUXMqJrYMSQlY9WocatTM07LD7SXau1Nd8qq0dDL/MRyYuzHH3LihONPVuBt/zjALmjMkvFm7jBnYI/19V514vqevAeCo1fFtWASMBQEg3tI/jor50RCcL4D6e7kc72+ftYl5iOjLsR7wSXLKT37ooJvNatdCVfPhxXnhZgYNRtI1qTQh0yOO4qFp4zPaMJPfj/3tZRnZR05qE1afM+vfiwQZyLQ2uSXgDuWWDgTj6xeuMYQ4UU1lUZ5pIGjaT6MCK75ihd0hq112KQ74I0ggdXmmOLPQCyxfkfwUQYw+LvLW3Qki9nt8PACMAd4Ib1TDka6hOPCVArv7vRzQMqJTdgcfuFNRB+EVDhD8p70IXgxnIrQSERD83Vu5//vvKYiC0U/07EsOQD+qq+h7G4ozJ2jU6j35qiYO8iy6I3Xx+nGHOch3dDVA8jKNIU5C01JJmhSqnVev3e7kUPu1UIQwqR0HJ1huMO+JHU//4ha1DTK2BQ680h2xeAWJ0XEGdHD9g/02pcixCEcINPoGFhr25SLejIRJUQlNay4iTn7QLon+RPrnS9YZj48An8e2tnSsxb3IIj8kHM1VW6ylTZGhGt/oQbAGlc1EXVbYhtHa0Iyo5MSb3Gf2EKUQZj40UU9sAm/k65avv56gd5wFbFD9QN1TSYpoa2wOI6c9LohnAxKAD6QqQFFVrzNa1Vw5YIjDXg3+FyquTzfUr5JgsaNrFkJvu8TgAD/ZXYYNVIqEaKZ0aUNqSBtRQiOoSFNSYeeYv72nCxoq0wc82J+ZCqIPOC7ins+g7VA/s+9F3iVpSULwe+3/QJthyY2AqhH204j6q+zTaqP+t9NpPwwUtro+Jsjwyy/67QLxdEo2Z5t3CcFLFNL0Cwpal1WnrdCDfGcvHbl8etwF+cz7R0AZ5sIOyW261o3PnPOq0gGsd8ru1AgxLh/5LconPXuFKI0mMWSGShUzfSYfxQ0kfsXPN1qYPuGJphqYeoCF1WRCIQmuhq03WHsqo+UGAqVOVLKQY/Vl7+nwGzh6bu8Z5KMBhfDZoafds9YbRpYM8EuVKYolimugCPWvws9BlG4Jykl9UlUVqtoMUlvdbDGB4kj3Na/AUVyrgvjghdYXFh73n/FKgwlZp0lWqBW+TmoOaWU1obcjfYHJaEEA0nc1BPz+ofYO11vyVtOkG/VXRqBzStF1piXBMOEdtfduRG88vl2Gt+fc3eSfRQxNUkC2aR/Flz5oh3l6xmbLUKlZxvgRc4ghZT35F/GxzxHWc0gPMSqrMPHVZnZlVdNPzBstXXHwdllEjFjMFV15iC1g81jWRU901VO7y/LpXYzRAGBRJNLB+GiVKTzjg4kXujJKog+NF+Dj83rGpzECrs3jaW0spmjGyW1qfmE/bcluPER3ROZ2z3dYm0soCvTA4Jgnrnzdh1pD712mbkopQ7upNwJjfLsj+emf6j3+RRmomHdsdfcBv3R0wD0wM30b5tyblWX8+34apNA56/dojMYx5kqvvuHfv+kaVL3FmkcTOJXOGX+/MbXUFRdHxpVkPjQcfLD5AHjZezmlwiCvt0UFW6w5YD7XW8Qwb+i7CFleBdq1Se+ruMBsRilSMHfLk3azgRheJ0uLIxFp91/89Bnx3YzWWzTj5Naj96p37H3IHjLT5w+rDp6Fj5oox4EXMSM4APuih4Epmv8L5yVCq3rj8DbAPoT1oBvuN5b7zz7G9o6FUqGT68OgrUMdzY3rJ9M7NrX/T5gfL7zEtQTxMo1cTaPsVyplMYqXvKsYV0lsNUZDPEnztTuDApyEX1rsm/JXJe95sltuxeqaTwngo5uh95PKH7Xfgvj2BhsNT4yRoEjciUjYwPBPYl2XHGbwrugPBtlYO8o/CCNdqpFvnHigyXstlRHlJ6CEtoWJwHe1ykakolUeWqm4daVfOc8gq9fDFg/9c3oN/5OZUXCa7P/Jelm2dCCHxEbUIO7bWP/AoGVtVwhRdElYVVFeFbomG0sKvrdN5zb7wuKE9DECbcS9RMiYP1Fhej7bDYfWWvgt9YVPfDIK0MsUqpjFCbooNuni4gwvL2KVGFZSDqDuUJRISQ2NuqcgUjgnNaSurBTUyMpCc379qos3k7aQKd6m+coDEJJPjGWRmCzaJRt1ubTRR5IDo96/fmac0e2J+e5kO2e43w2UaXn3bfZU19lkI1xXhCvlHQpIy8skR772H/TQSKCJKrQIRSYYAnDyX96e9btDUNh3iY7nekq2YmvMK9Lk90cNc3ZKgGlfQcHCZPekTXG9SU4hY44r+e0RN/cN9G/t+0wr4sFoflLbYa3CzLWWLPVKfwI29YzraVSTNX86LJqN0pfBwpx0b7fDqxHj11B5NFUADu+mv5rUx520nLZ+x5FJYZk73dqq9zCzNDXg/3Cqo9X6tndHY6YCCSre/SWUAXp7N4UA4DyW7igBx1Q3YOg177t1X3Beh8M9DyBypN/aowEf7qUfH4YA4HiijxtQtOi3wkYVCgTTJpGVKbyKax4Q3Kxyro0Z4tPbSwvvpLfJgDQDrdYu6vjOJl4tzt41r/g3I1sRtProfQQr+94JdEDXerDRpTDiEL82nL2K7uQmanvAddHUGPzx0pdCz46ynGUzRmo/tiEvHPSiw0n2LjCSLJtqYozVz1TuVTMm0JtfGExJcXQZSDB5UHkbIhLVBUETyOrT7CWoRBQXEAjadR3X3OSyixRYUp1NHzTfIB0gyxrJmF3MTTj1vUxZad9k9liatNGxUQ4NB4356yjefrlBVrVxqeSzc8NnV1uFSGNzpF+kAyASqDg/MCvmU3ZF7bIeyaatfvOJmTAivJOt65RK96IpV/xqGPRrL6MYedbM9PFBI1YlfS6/CIEFf6Rmy73fQD6bcmSG2HhPRWMUsjreMtV9iUznxb8GPDPMHmS5mz0tFbOEt4QS3xyJ4m6izxEXDh1Xn3dRklNhp6HGA/6d8b/nUHpo7lxlFY7MJktGg46k751MErrE2g+smEvuiazOSwhSGUz/ICJ1iS97lzcyiI74oXVZGUHG9dN2yACOqPlJOv1XYdWwGxWCy0Zej0gtmHvR/ha2PXUzovBGhQEtF4oCWbXkcm1i1XVlQ22K3kL7hxlB+GHwNV/lLcScJuiULD4Qv+57DAs8bClL0D0d5DGgYMBouCxeUtqm6Vrd8nJVIn38TIsn3aafIa8/cIXVEn1Ic8Ter1xkjE0dkqtV7Eg8yOYL34nUMsFwR5KYnjRd/FHG7wMZco/T+LgmoZz4t5EuDzng46OLziRBXsoqK60i99EXbqt7QKlVJNIjGdvfW/mkGOW9HodhY12RWNcirtVW3ogJX9oXI3EqwAyzpF9NaJOPwgqnSuYnZKzDc/mL8XFE8LJOvhKzQjAfXqQ8Pl8jMbFFGtbx2wxSzKjlXmdRjxbI0WsUHQSSaikyzewre3NT1eieQWYqQqo92rPbwXWIir7eA6eF0Rkh/bw3ZNCNIoachN750XPmYvyVuGJPIS5RQrEBiFhViFiHsbtL8F0D5784PxyaIO9yIPMQ+najzXD3Ue7g4KcPaDIyJt6Tt6w9wQaAqgJ0zcWDsvv/BrTNyADv/mBUd1Bg87ftme6J0nv/LPBzex9WYDR8K0GNSdruDO1UVT/vRv52AtSZaMC4oALRJ+2Wb3mcFeJDEqKfvKR/7CntEgEboShAuiiFxqiE9VcdMsDsR3Y6Z4OBKLCOihYWQbv3ESpY0dfwDjraE/pv6y5K9/MOJUq5B1qwxDHIeBGnT+xrI3Yr71g7bnro2T2hg+PfL/z9tt7VT+0F09/1xb229K7fGHJHi75r8C5hKN69zyAytNteSG0qXdquxDgUZIbDTHi3YiypfY9emjXc5TzckzlycIHT6QepHU8GP09bLvlFlNXhGZ8uDPkhEfao/PkGdAzSVUCyaeGT98t3QdiBNdaiZleQjJPnmQOSUQk8FWYrXhaboogsyEYCFx9uYXpPctBNj3uZ9b0ItHq1s6/2jrKAE4ImSrcWA0Xy/YBUw5EdUZNHQHoSdDZvXTNbt9Yr4pBlxPwQb4lf+Pzym6Js+PHLO//V/IRnaRZIM/RquHn6ihSlBoXwSUQ/JyW9d6+H9bGGG00eEyse7aLokYiUv3ldhf0METWMX6xpki9yxPEeX67+iKdY7XjuxH25faWDhDtvCoZdKT5j1EYYusTTKtNVFxZ6/Oj5aEdaQfqd5xFpFof1G9ffntyR3RU3IOJIYU3Bwce5ifBTHuJxWdWC1o0DPYwt/qLQ/4rMfspGKSraQAVkUvV8GD7Uh4lpi6bEZ111Bs1lDIq5CJ8K42YAp/ZRJ03WZQ4vjKL+jpu1j9WMPBBNySvbcfIbZQkgSxjUoO6meGxRGIiqmANN7aTso8xvfvQXc4mWIKQx3NatYz7zrGFwOlXndgQLJNk7BqyaxBcpMa5UQp9V1UlFgeMaSeoalbK4eAeH6MctKLS/FNxTxftnFKs36JH9pbDhScxPXSF3daGox6aRq0NtDlJn6Lwx7GYtmRKYnJirWH4mIaUDhfYnx/igYvy4YoIzjsUZDtJuHHRoH8ollbzNd4ulSQlGVHUOCu2I8dUetKREdEcSRSIU1q0zXSFuPpI3s2jq2Lj4hf+FufYywDbvJiAhc8NeGu4nVPL/4sqPHJq+uomaQHdb3hdzP9nR/vqHM6jCF6nGApUJsiYlG3ArwMnG0ckMKDiictF5MEGmjQQ0N30/aUpevyAONqpY/HOmki9clCftyeM+X2BjbBN3AY5DA1PAR7XTYlC3uvauvU3p9qw7UIvpRE/Efr0n5eurQYH1rPtaopIRyeqOvynW3ea/Jt9bqnVvAmYivWJ8Og03D6WUboLQmyttKHR3CG9+O3et9n5NBOb7VYegfny/u77AabnvfuzmXoy+fZ7n7f6lp7cv3p5gB1vHgeJtAdrrceCCB/94fOHVR0nx/h5ymm3ko4DczzJn18FF7jcRuhHiszT7rujNsMWVtnUEmv7f2dnpF24mRohCOgE71nPrJd5YqCBDU+Bat4a4l0HURujEBF1rihXNLZOFTXdZXiGKfIiZKcTT+OdEfjnwXCJ6YVJI+M6vnFNMqDu8xVE5JoEuUvYv0Gabppe5AK+2wS/hpXnwS9KXHmMAJ5L+x7jiZMEfE6vOamQJyC/RZqOQOhTSOgpndPwIclqrS1aMGMhMBK40WV5mhFEPXDIC1Jtn1fkEjYX511m3ER/L1ywpNBd5nFQ9avrR6mVkJd5LNbN/Jh5+myjtlTANwTfTrXoAscnZFMQz4i15NUYsRl8p00pde9ZXmoLNN9fI1uDSyALdgxFjVd44DyyyRSF8GdrMxGZotzxa4aUPgstSyWHdhEZV42bA3prA/FTWMecXvMLcaF0Airm5KIffgpGKC8mgOIliaMomymIqaJRJLIBJfNgEGPe/aDUEqnGXfsPjjkDnhOwmvWXl5nNlWuyxCT2XrLI3lQazr5nsiPJu1rvn2qi+RHbw7GzG469MKgdnVYoIuTWFFlWJCgfQmDe0zPBzHviF+F3sFSw5BFxTlpsGrDkbgj0ySoe/bUycTSUYET9K2HPkgcvWR2ZdAi0ksYE303YtLmvD4IcKrZQ0wViY3kByx+kXibLwuVBwFVmCvjizcwHT/WX+0zkHR5xf1ywy9angs0jTpgecTvo2GzQDa0jOKHXDmwyFIiO9mQ5tppsv+gnzriYbYeZm0BviQn43lIOdDt4lv1WywWmnlCIOY/Ro3XjyEN5IaF0/4q5HkK1Z+LTsnSpOptw/Ce4cjeRIiP9JCL45Sr/Ye5nR4V09O/8Qc91pZTFXeE/C0WzpzOiuPtrNXVo3SH06lgpk9ULnnkcU1kt4kA8OQ4+hN3NeKnVp3yPdYNgyb4BFl60CQgSrc5nOgBWkY6H2uMAoYsksV78wHNJExGagGuFAzvXA0TFtMVLEHzD4Gvirl7YE6iEGnW8BYI/p9TN/haJP7Ezi9TMS4ckQL2h8w7rIzw+uq7QeFXW6aMsL8rvRODT09h1y+1/sDHoHdQGD2qtusCiSge+GxV/Be6hnvg3WgggOiXChXTegJYQ9gU7jxLqUJN1XqpCsRC1zCZ1lBXaF5XOrMu6BP9cyoZZFbgDLj6y6aZHK1emUAlto1iXHMMCrf0+q67iu7pnuHOI6EHKEVWsbP+DNrDmuC1chVNJGV2hHI+ZUpHgG9x1VQyHE2OyMFQYTcLAuTDVEqGB/FI7gZbNci/owfqxNjw0F7MbSOmWtLVnhw2SwbOvnqqVzCmsCyoYJxzUag4tZqPdjm//+aIxO0ugXk59DxBNXQqU4EKN48tWWznnCvLly0D+sV9X8B1uxLnAMNlIZl1YLiAMGo8XuvLbYvnUT8xyouklfjMPjES2rBt0iQHIUsQfR1tKmJeHZePCpLBugdjzUajssi1eEt6Q0/B59DS0azChRrqYbX6oDbwok/+BCqkoIUDTe8TY3Yp7xPs50JbtgC9of2vxn8I/7jTrvvJza1BMVdI1Lqkl2O2BMbHpIYmIvyLWQpLF/i1GHJhMnnC30gG/WLPI1IvXRZyC8tD1x+VqqXIJkhVKW6ZBlJY2LGgwZ8aKbjQgpbCa4rPjM+iWr0FC564K2yGY+lfnxrJtHfjIS9zdXcIm5YmM01NgNY+PycRKy5x+4GVrwdLvKfTveqOZermuGuMFDnZkrPhyEgFaeOZ2ySjuNmVsEneRUDakq6lzd2DTqWVfy5pLPrD+qS0G/6I7NVL7B6IxRQSEDPQ+OFuAI85MZWkruxbcJcXtZu18QboSWCe85Z1Znr6GvDfX/+QOn4vd/P/UN+a+C/qAJ1Qx7Cx12LzAqMP9pGs8Ny6iqC0Ado1mBBReCwIg0rcr7b55S4c8Bbnm5d0Ml7y2VnwfaPlcM84V2UtzV204F06o3SRra/mNkNGA6IGXRPSoGD2/SS1tYZfhryMmKJ2HLdXeSUfX9i2YFqqxI3nCTbLcaipDRkBwI1zTd94fBPpAxbtBAI8L27GFJOwEceib+Yhq817Q3kgs1POv0ojDJOCdvEH/kKiZ1SDQNKeT2yuSmqtNkqKCY5DiCKgyY37JkZMYwy+41Rq8nnt4/+r+9EaFDlNA5MSDNMKPrelr6SZ3D2KBXe68ik3+P0CwSSBPHKm3cBXUfUctiyxJJXJ02bRWBKsCrK/p29+ld79j1t9QZwBn9YZZX0suVTgPPMAZ8v5QN/0qAYi7Agoerd+l2fH7FX/zPWhZI1PjRNaW/jY6y7sJljZSQQFVIiqKOiY/lyiTc7FqDaAmtpOuaSo7RzAdH1pHxKlxkbSkMqijihYLPu3iZRE+B7GvInLUnoidLXePXb88U9C4+AVLrjArH2cYTteL/7a1ZagQL4jgc53C8I6FvgXHt97mQjB7I+9Klb87OFB7w2FdNuL1btw55iredX94TLL8/MPa/lLtAUvJ32L3pSB70+gBd978geuLccTrxg/SOx6tiUeaMbpl8qaHiVoyefansaJfMxaemkKwDgPjAeN85Qw4UnONXPe+6vxgnheRlt4GQxPuBd9uwIXI9wNw4VVtUOToW6f1paGXXncr64ZyRB/75zitxWzSbQQjVl0mmpBqL4A31wGm6dGhkNnHQqxx6NniNJd19SJZ1tLigVYNrfhbYSU1VrK5tVgeqHmiYsoMJJ6YdNS6dCGkL4rCmhwwW9Qnlq5JevjyEq23BtJTE0Wj8i891jw1MpoufxlfcS9+HA9AkOEKGX5BN+RonUhSvDLZlmoholLr2vm4lFhBoZqdgnZedxGGukJTjdvxFHez6wUxzIxAbD31wvSxdac6tJmvYy/j5ElM+H9PR3qh5IvLv9SPQPgaGngN79FnhY9xKOmgmIjadTIc5L2n4DPNnNbh/+uN/+bc8NM/6I23kHWn3dSMUIluMJsmyclzFNTZu1ZyfQCXeLgeqcfxphLc7AlVsVqq8boiuvkN2cilErIexZWh/Ea6UCzqmL1yIlz9H2nNDwi/HmHqLxCeJD383GpqyvygPvPUdCKAWkCx+lCJzMCIui0hNMzD9eVghVGu5kgyTABQxlpVrvvJdNiUTFSWbvZRNG0J8aIVsV6QcZKdtiG9jNS/W5hE7OV0Fr/cvPvNcTA27GttE8yRUWEpm70M2m2fPKSCUWX1oM8ucCFJ+XwRyv2zGU9zsW3yV2bhpdZoQ444QVlk+jOukMB5OYG2KTODInOHzdSVKWeV3E1Wc12Mcg6gqFJacvCQ+Ut0W677dg5wowHJqyTnqPHKokK+4Aw8nX5t2PUbrdOCN0nUuw3DJ7tjX3h9oY+/kpyc4HQYb3uoz1gH9H5oQPa7eUEgdyxpGp7Y3P+QFCT6dq/B+NXVTpdDbjnenCr0NvjfA1OOoaTQeR0Pj1RaclOFa47L5eGcpbaTlg5G09VTi5CA06FiXQYhykFf4AVy/peP/ADRi842qdK/jb0yAjTDu0Tb34GDKRty1zkFRXw51pSNje+FZpd1GM6S8PMoKM7v6QNulr+CheXnD5TPY1BmYNA3QfvOXlaCa2uMB6qxRH+zHy7uPOvp62JGNp3uvtNS9xZ5+vnUN2E82cVD2uhBsRn3bQeFHkdf36eP7bPWGb3i6p9kYAQwgWOcUvZfkV9zU53FW99ZCUA6ti38qcZxeAo/QSrwlNeMu7pov9MQWT9/WkcUn5InalAJWonjf4EMRik7bEpP99gGLXHQej4k2q+1Khn3Rf3ZTTTOS4nUS0t5NEGaQ3yHRu+kdiv6gnvOQvEBAQe3zQ5xJDj7EwKShOe/gRNR5bGTMVQuA5ntW+qpIZ/hQG+Au/27d7yFq8kzAl61VOBmRntxFLXXZqH3tTFzWoTNEKuWdgNwNWPrdETGHPqwbQ4xBGei41Pcpy2AdjPP8HXykziIYkOgy9Ifhb7t4SW9v5zq4KP3gG/TG/lEPDkLHUQQQ0v4v0xjPpmw/9prkl/wbP0n2APwjXFW8MN1tuXOqoBpQuwbfdTIcVBXIncSCqiysQGNKOEsx7tuFgeDXw5G/Vu8vDZKom3uXYu7zZqjRLLuVYBGlMvJdrDBqH5q/3rVZNP8vXjzyAwRys35Pvfn5Hj+6wd/u7wdV60fD+1770Zze1KLWvv/G2KqujLq3NH+hV2EpYP6Soa6E3y/moZI/xmF1SOH1vsGLnOr4qdZWmYOeEfX56luJtCFrH+bTNQ60vCh9xixobfmVDjyKsJEtNMfHiPFZN5tj1G3EADYicYmSlXbnygbB9QX6hGRbu2b0lXWrzB82aEj15qyK+ynxjDE99mUGReuiqqFZ9+/06PF0QJc9Z+Vbk4+SMbPpd9roK3D7lUgFlfyTN3pWDTPKOY2NIDyStU2FWVoP4MMitvmk6sGxUFBC1uqXy9FuJCxHdtOCItrT7ZH0ob+5xZOrTvLzMb3k5BDh3l7x4B0e91D04CHTj+55bSrRDhzs01fdM//PXVA+7mr9k0Ld9+utSseBLkhIij1h7MTpgS8AZnVPSTOotfSc8L2COr/pVtfF3QUyxrOUtfcneg6oEUf0CCpcCzDvkkvnY0260/oF2laK0gWq2ZI1/ML+ukRY1wCGM5SMxzBVkwJpFyrnChF/LJCCjDGpUMQFnAg80Pvv6f3bTanPPFCuoiT+FyqvFOi6NACR9poCGXKIZRnULvmiV/yQwkun5AutcsE4YVCVg8mlO/xr4XHFYbno9V5Vy//rfxpKfy9R1Jg3rRR9ekQZnfJMVJTo4FIoKdfxlQskxpmOVCJQD1q/esoAEvOFC/AVKvftYPezxXdimLIfxQZ+AMQfyomwN51wSsVjhNEnVB18fMO5svEju9QHrYgT0Z8r+Iq6lGFxxR/wL2HjkTIirIw2USi80tIFm9o9QjWVmOSf4tFsRx9/QbZ1Vo4KiY+SXrjM1FvwdpF5pRjh+2tJFUQfCKIxj4vavqx7pzZC9tBdyao5Vrxy0SKafBgY3WXjr8/a7MgmkI9L/Vhec8ad2O5GT+HS19Ta9IEoNyqrVrRVtmSZjaZudPE6kVfK/NMW9inShJ7WAjucVNgrDjN4s36L1wGiTpszpwFnOMwYw87IoUlrVp7KWT6VV0qZvA2m42XK/I2D7drfwygbck+UtclQy4wGlJzMiYJIU6hgmwHuJAqh4mjy/AV8JwssUf2lzDpNTvfWt3T6rbtLkCVtsjR6XVHnjKPzGnux/45Fvk78W84tg0mJM5V6eqKOlrYotdtT8I5MaBHmtRkZXgV4Sm92n9PKSv17hGdrQ5Jcenk6CHbYdPJowuINtjDKuAoCowRW07ozi9PereVnLrFxGimE1T1EyzMrp8wPKdOmCnWUhUxmZcQSrNob9ZSx1FtIethJ01L9mGMI8Mpj1Ri9ZY9/rNkWExv8hB/LnbMF3i899611aYuzwL/VXBoXZtGSIgggRPV28GqEc0y5czzr/4UL2/TUog3UV+65TuYh3iXv+9eLB4xXmJIW72Yhu8m/baiQg04dLnFpyp7BOm/ezdf4tBOC/Kf3y8dWP413ONToi89z1i5etWMO0OI2TAMVhJCTEFhQ59HzWISFeeWF1WyRprmVIsyvnXEX5cuoJZnEwz/vzKJ4n9dJtg+Ytrhh5pggsZ037yTNsYgrBywo/tam8henR+oI4q3rMqmekqyXVXLFSbOvMbPjDQQfGGjrcXibs0le1rdn3EgLIwZrQa7CCQ551xfY27yNQIuyzJ4K02Lsrur6ylCvc64REXXpJKZKDj4JJrtq9nrMSqoz+Odx2jc19+pVB6Ur76AdUYp40yV1F1VThLCrjpuEMmA+LaFZdj9DbGYdJYIv4iS9Qtnt/r4qrMOmUOWfESfEiNJfIPParBxb0dB/FPZFf468jg+AxTHf3qPUQpseiUQbaqY6QL/hfRPFvlNU/o6vbJbQCDLZXIOrTkefihPcy+UXqp+DATQBaqQmPWN9zTRtuhFpjyuyO1w2xNwR5qcVGRch0IHYBTPvlLWVRERh/a5ItwikgOBSnJM5QTuQhgKPWrnjQmmOr5AyoYuPyeSGLSegip9hXD+NEb7XWz4jVlQDoUq44p6TZuqCYmP6lo0MrKVy2dUkuIEGfgKVx6ZISA88ZJydig5TTagnmaKaZeJ0dvXaW9rbi8AXGJW8n/2DfFWI2mYMyYUPXIlN4KzpM53hUU6TU12bKOWgHP+zA0f4p+pHdpSrv/AeC8sMLtfTt6s7PdNeztmdIEB8wJiuJlF81G1qoURljzHWbHhXlIDu8m/KlZRw0mUz26LyEIXUcriPlHlPxfuSM+UqEwRd1zMjsfSIVh3F6114vvSRyXu5WqCtNGZhywqNwHgDV/IT2mW5FP/81p5Iy8+1YSLKPq7D9nHCRSvgYOXBo770xDD1HXhc3HUb5ml5N0JbFD64T7RIakrAMG06yImFF6nQalpX6SOrJev9/erZ3pOgSzU9ZSj6z8LJpKYyL66m8HhBNtCN7HvTU0M9nSlmWrOX42O8UHfiVcNqZDxfW2HzcW77A1r/6dR6cBTg9GZVu75OeYfFrjubNGAeXA+UQnh5Y4kE6292ikFVFGSBYPslrdg8SrIv2i/txJoNpd+6JvYywphDkNuo8WOSs1hCaKmPx+iM2qFItGh8jLn/yrY4cAXUFAx6XPjREsNEIXbKUBd+qqDfPghIfYIVlxNSQFr91kbv3cN4tXGfz9AWXKNZU5FlaInxprlAZCJ4rLBpXWJa00Nsypqrckp0VuAOBkpOplxQc6xIu2c/QHJaXLrgxt/KtuGiosJk9ktVtV68MtmZf6+5yhTY36QcTd9V8Ci3Po1uRvo3+CjabU66e/ldqq24kqvpJObn0FV22IxflLovS4lsrRHu1SU/aQ5uxjTB71T8q2cghHjrD7gZELwZylR2uqtfX9a2vsokC9vcyX2L3VccFf3lRfz20+tJUBS/iN/8QLX8saZlUv2k84MyaAy8mPM0L48WEPeRIQcaIOQBHKiLf4V5iJ8Eu07OFf+k87SjDPTw7rA6yFGbH7qHIgWH8m75EePgEplMmIXjGbUZZPKq30RFkPfNhbARtRkBRrEwjKR0xkS0fGHDGXzWkHxr4xQ0SUATDMzYbRn8jGAno9H+npt+YsaZs+rGtn6l9uiI6pql8wDVLrnhDCimcBMYMTW9gh54kYvoUqHI62sVmjaXtIZIVIuH+YK+1040l6kCoEumDZ5CEpTowh8TxW0mWyWNIKf8AdR9mlUAJivXzTTBgx6ZGNi9MZsP+qcxdu4spGegWNypPkWkM2FTlCaOaI26qrm4eWhmDMTvLH3iQwQxfUk3NXXGXciyPGd+Ib6wENH/ac9sj5a80KreT0XgRpSAeL1xEUK10rHXDUW4BoGq4s8bcrWC/9OQFBOWLiKgBe8FTNnscziw9mszhuJie1f8RWFn3yhQ99ZTVqlkVRKxCuiSU3fN1jemDSg+oHxd91+cK26jrUvT8/nkqs3gr2nkUa7CP6Fw0jWgsQqQO3FKu4QKlkWXMWIp67j2Knruor6Vto2JK/UX6+cDify1GHHHvG4CL5Ex9fvxnpdcwS2ZE5qBdC7jvajfLcKmXctoUR7KFSffCRzD8w0iRvIRHJ/Vi+mKZxFuvmaTA9SJWzSYj/FXeJnnViN/QI4Udn4nTTURTM6Q2pjWiiZTKR3xaLaAa7Gxlm2b+gDEM9xK34KFapwGpno3t9o9s6/3LiiAd0jQghpqUDeMKR9UzhLgXb6OEJ1ci+bGOQLGIs5paM/9+h4CaGtfwwVGHdkGH9GOojsfyvxNCbpwfU8CSDgg8DjhFYha/ZeecY10PtncXmXoI3f6wl5U16JfUF10OVOgVNjLcgaPpcY4ejPAbgSc5zYqjwEVFzh63rOmG0L2wr1X7O/fo2o7OkUK+koX+ERKNDrvYzeg3tsb+l8V+fW90cjkUXTNpXIAexDDzo6607xYLUadGmOFpWd+gNCvNtwr/pMobfoFgeOg0Hf/SWA3GKSbH21+5C+qB+EX9FLwCD4Q4f+gqS17SMrBkn7Tm7Ov7xXFGT2pRee2sxy60ObbhCqR5NQRzMIE7vSOJcp4CSAbIEJmqvFvca2h735amgeALNGMqCEHa6SYhS7FzapF2m51cLbRdGfu6Xfmd8jcvbUTlf7dJ9azRxwRlrS2ZKBSbv5hbvLTqpVxktE14Z6OlSEdSEfmDrdiwRgYJ/ysRoet849KwQGZd6+2TMZV2vqermeNYmAjG6vwgv3SfcIrewdD3MgGkTf5LATOsDmON+JvW9e5owLrtkTscUpeIUuZ3iM6JXF6vPpH5A0OzJcBJXnJLbc4dj8nYx6ee0cGn5GNhM52MmOC9PVaCtNgylyZy8d2O8LQfD1F9YlPoTBw+lzG5WZkXVcavkmNsh4NZuWycYEsTDTJ1HIHdYgKiZaAwy/6UvXwupALKe6ki/8NaHUjT7NPnzK+I3kl5e5R7yQo3Hud/97kEkHUZhiG1q6W1ct9ASUj6V5SAASQ8OBM64HEsSB9dky73hQhfWl0/KbuQhFIQdXJdb1LbMFbVCkrG7+JROfEy1kywswurJ4f9MlbA7zJtrEOu3z3iWXuDjFuJbKpoghvcF7JD+tMRHUPrji9AZ91/FEpAlMrykZGB4N6uRBchjHqCZSPHG2MmEQZvwAtA3dR6X/uf2Y1rrJK1NTFny3l8I7VVVySPQA2/Kbs9D/+wcPj5NGiUIBXNARs0xHxiD1M0CF6/EYT5F+J3keCvTIfzQBBqNXnsPxqxEtvwfZuaY3QC33rsNSPyo6JKCget2AbXzzMvNgaNKLr1JIbXn0vHiGX70HmsFBcuoRvSx/dCib+Q2G/lbq8U2TE90goDg66Jm7S1etfBzDRgdabMANF7yKE0XDdtYVX9adHTFAnmambEWy4U20O0ooqgMKOyvqMbayoSX4GnjngIhlc3Z3D6nU/L3NoZD0azXAb+OWFbr7UBTAZWGnxJ7eL/OkIdbUqu5JbJG0QZwe4VfiBnORLcd85LQ2o6PLuKRR5MyOJB7m/jU3ieuRP7lzgBEItdE0tiILC3/j63PEHo4ZLLcnUbJ+Rfrj09DMTx8wYwHueuxxeolLfcPip5HnNDRoVxrLsCIyZrmPC57ZxUh2FvLbDNfTh0tC9q/islOgjZS/hBbeNsgYcejYYDiwW5e8FW5bHv2G0k9B+tuFgpkMWJoeuD6Xmm8ggCTPmU22Ztw7clgnfqL/z1FMDi7mTYSBXhi/bkFh6O99wXTq3WqUSLvBmoqeSVaY2oyesmSFTAOy81nNNBK1mWqPJ5/FnhVjAHkP152umMRrXakXU20zL7m+OAi7SjPQkSE8FoZvb6Cmeqdwvo0+PKEHYBujAabEyCtqPpG+t918Az71jX2NQIJGYEeIFcJAxpYCnS6i2H2FQe33auzb25In7HDLGK+7vzst33bx2Q7MvxjJNvTLiCZcxMEjWFwNLafOgWbr2UZFSlHQeXBMPS0ULuQhmsKgIFdaWnURF/QL9MD2wyRtZE+tamR0hekuhuMGocGEgJaDRLFSzxXcTVmOfdiXDd6pwNwDlLWqUbqaSWIv8j4l5M6c62cvvNAvCwekgusoOH7gSghSTjieOgdWIRThdCz3a0/qaFPjE4JiXpo8JMxDqDlY3XNoq7/WjbEP/Skf1ZyGN81JWxwW9IbK+Xeigk8tiUIos1a/ONH+IM8jH9kVV26GqTo+mTkZVkPLX6szWTBrOpk6TPZ02yS+nzCgWX/DhUcwdKDDRgUQOpY8fd4FvhYBr1AX9n34Yveni+9fdja8ASCzjBWmX4qICEhH7InGROoZSPCyEaRM7zcJ9QsdBBvZkb7UXElY9vjJHzc/6iTV9oyiep+kniGKeWo5TorROqydGK/xJ9nabBtdB1PBwM2zE9naKkj2+SUc1XK74Q+vjOgjzuFrt6aBcwQIUUOWsINm5KIC+WyeKJh9fC04vQ924KJ5mRI1hpt4Yjd6cH9/osbKmBLltmZK1Q4WirZHr17fO+qIQZF1HN3F34WnmDtRSSV0BQodkmTaAL6K0MQJl6vqbY8QfsjlQFx/4cx1FUkaMdSXKlnWtm0y+7NqEOsvP5wTkNPyBSJv2VUIZ3AhfSThcj8UULKuHesNB8dxUwOVHsSLomFSEVWajvvZNRFp4yEx0AwA/YAivowhvOIHYiVLO3dJjnRbCwaxhp37166DuOmnimgDBdoSpqSXautuI2Gcf0cb7+9Gd4zVgc8iaed4+lNUYvDSl1j6LlMxg75f2FQsaybKW9U05+QQPSX0C2h5cen7xM2afdPN3TGQspehC1uSoJfvDCcQhBHdsFvsUfTjbCcB1yWEGfm0Ma4Mj4XLfabmE3oPunQ9357Gez7/Wk2WMu/pJ+f7cu5/kATdVHagmBGsgevc7h/PCiXvhPD3X6U5nLyvupdW9dUD9OE/jQaYvekUMOiq8LxBg2BJBl/NilDARogXD1PlTEBskWvQZkvDbBkwnPL6YYDqpIDuczvjTvaDXx732eS8FX9GSMBzhZGSP7J/VR84XhbtZNLa+OB9HRjbuC4+dhXH8N2F2/j0mwEsVboUe0ZdqPOI61qmmcdBLetIfOdl9+UhtoIyDbfBFiYLEWU8i/kApCNvPpIf4yKqLIkS+Svzxd/Zx7mciavjhhrBhvlQfmb3qWIwYE/TJl35uMSpQOHAQSHCzYiBccGBaPzVBjOIIOS46KVclH37cIBW5LEJWO5ya1F7sU1zmtCPGCdCGyUoE/pOW/6xqQVSFXxMNktGib2L8I/EozuYWIbEGNZzQEm0q8yxUzY3z/q11uBUrddZ02Aa6y+Fdrc14quTOBYojJoyffPbRLHpcxmfw/sJjV0c6tClmiOr0hKswr5893zvW61C4wUKhFzsVj2Uak0+Y5RK4gbZ1zGadURsdYkQKV13IgNx0A7oKGnIRvkgzw+Od8vI9s84ptcNhNOoszGd64l4NRCTu9wKs0J57ynJYvK8aOn6Djd4x8IsydZ6c0+EAnZFgnx9gmvZroyPsE6CAe07d3anu7xluse0odRzfjNF7KxlF1IxyGOKZEqEuDWMudub0hCfZPMpQmxKr+4jQ2po8OdK+YSM6QTxtbaB+o02rRftDCC6Nf9T+CNtlCyGqHoQIg3NVjYgQvNojG/+Z3oUo5QljpHBlox+AkRaCreNS7LtqKPN6Kh6q+8MMB+IUMgHWbzI6WrXrHMfRGD5izaxUDg8ysUlrpvrWRg+S1qbhQDUzTJblxv6C9FU4uA+tOWAyG2xszGnk95rPBKnVCKiNMJe6oB2a5F5n18YZdcVb9iAlMl791s5ANqrBXA6PGi9R2yg7Yxpxfq2oRyt0FcWPMZPMwMRXLfCtUDlmrtClTVguEmivMhIgNjNKg9xLuZamWOMzaoaGgPIG8h4oUN6TrAg5w6d/kwDhk9D0Mc4bOdWlgnrkm5XcvIzTLCyO2OWNdHpAB+Yv4sDDR5B3MgLYm0ZWcOE/P7C+tng6p8ELATbNRXfwr7pmTDrpYL2p4j5oYnTMrGIkNmr82nEcjcXlElzyw6GZPCWxuZ1iWNW4iiNMr73tFzyDsGZk9kXwIsFm0YlAJGG6LInkY9DEP7vlR0579PmN5GUW3Vy9XKS8whNkjcbUmzsRNcJMhC2TWUAmyujXYXGP0vhhiLhVe+EqXCPARzYIPEpSDf/jkNPDCewxLk8KadUlGuMUmSd+x+xXlDLMyC9C6Z8EWJKWVib0p5PyTAB0Bn8hsE64kS2QwyowZmPHcvkCHcSh8hYh0HjrMkMQVN0tcFG3pcPPAJGWUST5/1Zr0Hiz4YvWFqmzEbok9M+MzSCdL0wAeoTYl0ymhsJuLxgYG1uPrP5zmV41be0xQ/74WKWP9KQL43SsUM9PUumV3/vpp7EIQniXQRe+Cr21/HTZs1eY6hnf3Do4cHx+Q4/nPbd7htNfW+sYizh0f8arH1rTL1Ywv2s2h4ZRS6rzCVcq0rO+omYw1FUXOpgewmdjrCAy78PJiRs/i6+UVc3d6LjLOQ/0yL6olLf4Kh6mrUwrEBLnY+7j6EPlbNzJdkjWiyS7qjKUSK36mKnYDEddkdlP/eIvKM7dJR23KqQmRtPdTVyRkL1apzRLJ1gClauP5EYBbAo4pD0r1sQ07UAODpSljcbPIpHsCbtqLnJBEOKSQcxgqw9u51Iy3CMyM+h52rNnnebQCHGKeUcwbPmY8RUbuRHt7WJcXhMcCBGyFnS2EzMvuupKWq5rmI86TRqJWnT9cWuJrbR2YEVn60nhkMuapWt01U0/ympz8RmkQN5a1inLo0Z9QnsEevYKeoVChYfyAYs5T9BbdtZ8HO8ppwSQTdt+BieoDX+LgXGnQ+d4l32fLP6uH4UYxQYYXcZi2EsSpg1FOJ4givwIVmc7o+lh5wk5RrfSMaikaBLGYmUhZAUeUSXtjPCh1mzBKJjARY8kMlCgbUorUavYxXUSX9fjplL66twva8f3xjPw0aD1oM53ZcClt1lZcVuBdAsSFbxZDHmeHJbs/0Jjvus22XzEIzoTqScxiDR4uY2Ntw7UhTwjfZYWH7fN3qmoRQpD0F4Nshf1CBzAPIL8xDSrVkeDs/bRque6rZMQXUcSTHZYeKrewV42+cPESEWYONRaUPoug7FZg0QzChcxNVykxPSoZXRpljK7uzPeRgVF0npXXoWoMwgyPIlqnC8ZeImrKCY2QhOcrhC0gCJHthbXekJIH0p+UFx6chPP1OraYQYPmPVfYAknJtl8j/fKIGEGIZkJLWwEZvlHKT6YNDj3p4lxp1zrolbiv8KGLibGvAdBQ4zacC7TSb8ebOuBaPZ1WJwR3LUX1htxPqsvbCBg90AX98nT6jgY/H0EXr7erjjs6oTy9Yx21jSRX6/Mtt7pjUwaHEvb7yovHwWvavAVj/XSpODCJiNa0re56znxtkpZ7p6iiYJwJTzwqiK180j65pGJIQVt0ntdzvMHiDDy83JbzUhvUKhblD4BTpIVtORCWP0Cc0Ko/bJDFg5k0CXc2lOAh0Cd1VUU4Kkqqat0Sr1Yywc1JrH6jdq6zBiCpONIJhqVoKdW5Q8WVokKLThZlXzZak+wJhCNKhNYUFVTWhjLdE5mpCsLcyfMS/NFToJyCFk7oeeDXBlGOpowMCSIwCePBgjZIdirp26bK6XYOaXANwX8d5DgxZlUPri2n2XHgRts76vHl0Ijz2DH91/2yjW2zqzpE4/a1XHf3nse6sMvvjC+P2J8b+sOPd2xInXwQXxw2PL3f4c1jyyMnt78/zsXhpRUx0u8K6O7b91j05bvAadK/NO1eZ+XeBT7A4sMAFrHUOYXXlHSxynqodzvp5nRtyOMOMdjPAN1OZSBeuD33Xt1QzizKwY/D0ys/htI9Efo6yi/4pt1lITvqCQOJ6IQ7YOmpqdG11J0pAeVqGcTT9DUGAWKcjRyRIKwO0ELssWPbOxolHkAkkqdwT9WiDy6HFZu+Epz023T6NrAqug+b/c6JCp+kse0Pg1Uk6rFcR5MdnpgBPbWAJKpyA22bs2seDJ+X1XRiS5H1y6prIRbFH9lpjYpjZsBke33VwWxij6dXgGRs9cZIwo1zy0zs4eFfIniaY99kNdpbTIDXdDLQ1vce10xsMMWeyf8cQWTyhHul+7dnzUhukeVfh7Hd8paSqee9zc7zrM8g5B3tJ4H7rzL9bZ+Hnb8WR7uROMkHDJlXTo9vcPejkyrw7io4jfH92zK9zMppP/H/hzPlsQSyLfuaOGX2vDyv+GXmc3aEb8z0danBW52AaSiRxdVZw3RpQLBF5OtSr4gH8dUAd+Fk2s67W/dFSimenIgV1x37vvQny+3zkesS/AFQuJurbgNqXAYXnwxKh316Ot+Ry6ek3XFWVn/TCPRKKTfxUw9a12ta4vlVM+MUJPc3ykewU/Xf5EN5OeLlFU2oLImVFbzOiPtauivgSuKngTB7QhqhPkR8zP6tMriLPWWrRlK2M6hiSisAy4THbWY8Ec1nPeuPnmLm/cy4UYyEJQSH3Ec4g87yRn/HHQ5lmwnxZ8lHuZKTR6zfUcIvPZ79mgE9Av3ay7VtHR/xCFN6vNAw0rzLjc9+BFG1p1bJ3fPLPfbqooa1fliimxOtGia6+SwKhKbEG0oBtPeU2CIjukOqOEUDbcXrceABQ98czO7H/hoYu6FrBhr0UarJ0eLr5fWO9Dqu4Vetm3V0aR7z8i9ByhI/oL8/wAAAP//AwDGtAWjKhcKAA==" }, { "path": "anc/code/1.3.7/data/witnesses/wit_350000_400000.jsonl.gz", "size_bytes": 109384, "sha256": "aaee02fb5a62b0fa57f51c6098a20a083212ccd57fc89f39f373656d214a6c42", "mode": 420, "encoding": "base64", "base64": "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" }, { "path": "anc/code/1.3.7/data/witnesses/wit_400000_442414.jsonl.gz", "size_bytes": 91693, "sha256": "78cadc43a0f5809558c836a5ac65e8fd3d097fa694d6a8acc981d211638907e0", "mode": 420, "encoding": "base64", "base64": "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" }, { "path": "anc/code/1.3.7/data/witnesses/wit_50000_100000.jsonl.gz", "size_bytes": 121516, "sha256": "384cc77b915170399cb27eb4d6e2d849987a637cee1efdce0f81ebfce1ed338a", "mode": 420, "encoding": "base64", "base64": "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" }, { "path": "anc/code/1.3.7/data/zk.txt", "size_bytes": 45063, "sha256": "eb575120fdad42a7686adbdb15ed11e193eabb453981b6d3176e9cee89772ed0", "mode": 420, "encoding": "utf-8", "text": "[1,w^27-288*w^20-1028*w^18-1440*w^16-960*w^14-346*w^13-256*w^12-748*w^11-528*w^9-128*w^7-56*w^6-68*w^4-16*w^2,w,1830814884963002688056406896/6904477398739607765914213363*w^27+494356306594944826507463247/27617909594958431063656853452*w^26-714138629728271896554931781/13808954797479215531828426726*w^25-905403545953716698850217736/6904477398739607765914213363*w^24+219622645994299746772303374/6904477398739607765914213363*w^23+673721122976177932813089552/6904477398739607765914213363*w^22-112132233401093484798768128/6904477398739607765914213363*w^21-527797245369650899261088037216/6904477398739607765914213363*w^20-142502705888469107985757578671/27617909594958431063656853452*w^19-3557535384538150410971445438967/13808954797479215531828426726*w^18+133761501320514009743514327377/6904477398739607765914213363*w^17-2332979545536563451503514862396/6904477398739607765914213363*w^16+558671190613643173667179944872/6904477398739607765914213363*w^15-1436511307289375005102206592544/6904477398739607765914213363*w^14+9693942838068384455091164384/6904477398739607765914213363*w^13-1442738351314173637289846407703/27617909594958431063656853452*w^12-977959274523585912572652553970/6904477398739607765914213363*w^11+280136867228982056400660833632/6904477398739607765914213363*w^10-803747428697879165676511059548/6904477398739607765914213363*w^9+444077618101346233718967084008/6904477398739607765914213363*w^8-197284432931794832575106371984/6904477398739607765914213363*w^7+71754479334600209769700735232/6904477398739607765914213363*w^6-3249934974449059080148540593/27617909594958431063656853452*w^5-121670850099982068161388956940/6904477398739607765914213363*w^4+54341500268350571229273225220/6904477398739607765914213363*w^3-41073646394865948227284621262/6904477398739607765914213363*w^2+30534460830948666732816727776/6904477398739607765914213363*w-91218400128648360501684688/6904477398739607765914213363,-368468974627061297463493120/6904477398739607765914213363*w^27+5029353872622849804450823151/13808954797479215531828426726*w^26+210539898769536795250034304/6904477398739607765914213363*w^25+264328732746443146032002854/6904477398739607765914213363*w^24-110309511852820183291730432/6904477398739607765914213363*w^23-197087525288354506850783776/6904477398739607765914213363*w^22+46605214263771247170840576/6904477398739607765914213363*w^21+106267454208920581208913090016/6904477398739607765914213363*w^20-724126428082217954668747600262/6904477398739607765914213363*w^19+318039385795418404558431028992/6904477398739607765914213363*w^18-2661318309785674597864145965030/6904477398739607765914213363*w^17+346011109952511942354255440384/6904477398739607765914213363*w^16-3835999738009058983890390637712/6904477398739607765914213363*w^15+150471084956876603603987527680/6904477398739607765914213363*w^14-2507462548794984984051083081728/6904477398739607765914213363*w^13-1791768224871437818000145121271/13808954797479215531828426726*w^12-531358580849457328592427254912/6904477398739607765914213363*w^11-2060972081202592112173783363444/6904477398739607765914213363*w^10+73835756114404699487563450368/6904477398739607765914213363*w^9-1541846666004437832981521912848/6904477398739607765914213363*w^8+3247070315694987231542456320/6904477398739607765914213363*w^7-381775551695878725643880297760/6904477398739607765914213363*w^6-168999230994709365458541139083/6904477398739607765914213363*w^5+11397985945891366549371748608/6904477398739607765914213363*w^4-216735872365857289288539863534/6904477398739607765914213363*w^3-890353910191943731663715328/6904477398739607765914213363*w^2-55854396357105740670744924048/6904477398739607765914213363*w+519825131618551722751092736/6904477398739607765914213363,47088967899201885990970832/6904477398739607765914213363*w^27-216795006159549456148357120/6904477398739607765914213363*w^26+7934034415376851044350112/6904477398739607765914213363*w^25-600794744028525393527492964/6904477398739607765914213363*w^24-34113628064680796621978368/6904477398739607765914213363*w^23-22178720700202760577108986/6904477398739607765914213363*w^22+42768910521333284639205888/6904477398739607765914213363*w^21-13506887989066498965385563648/6904477398739607765914213363*w^20+62395936690735932507059470336/6904477398739607765914213363*w^19-50769085180612706079679396128/6904477398739607765914213363*w^18+792102898828864683315525525325/13808954797479215531828426726*w^17-66048874851687696597163106304/6904477398739607765914213363*w^16+936057279920793155051964271564/6904477398739607765914213363*w^15-33977887068287184100412142080/6904477398739607765914213363*w^14+1064118214958190916696820515296/6904477398739607765914213363*w^13+72414250798758447494155839488/6904477398739607765914213363*w^12+591951033393070522345893492160/6904477398739607765914213363*w^11+335885623286801842104810341219/6904477398739607765914213363*w^10+129984086219968888589609782912/6904477398739607765914213363*w^9+474817718129457155729858469884/6904477398739607765914213363*w^8-827080009519818427383006720/6904477398739607765914213363*w^7+246439550996488635856705466272/6904477398739607765914213363*w^6+12428207876119892224571588608/6904477398739607765914213363*w^5+33666802801824825250046738912/6904477398739607765914213363*w^4+40386212391430407066624769175/13808954797479215531828426726*w^3+487476549366510240830846336/6904477398739607765914213363*w^2+11656504986389201704039230538/6904477398739607765914213363*w-317556878329846706505672192/6904477398739607765914213363,836802702740395164812470588/6904477398739607765914213363*w^27+656476823907362774646757928/6904477398739607765914213363*w^26-477464258528182471499694304/6904477398739607765914213363*w^25-1740113907520113181797874481/27617909594958431063656853452*w^24-233285693194968312667844254/6904477398739607765914213363*w^23+573895575837771090595499828/6904477398739607765914213363*w^22+240040028805543952594860064/6904477398739607765914213363*w^21-241460619923886664594731111088/6904477398739607765914213363*w^20-189316598380087497353059202848/6904477398739607765914213363*w^19-722351937998655126919544553488/6904477398739607765914213363*w^18-2197473538195921012432790809519/27617909594958431063656853452*w^17-1294579703257637012888017896569/13808954797479215531828426726*w^16-663615857174930925435164828726/6904477398739607765914213363*w^15+55160225367346364196354646324/6904477398739607765914213363*w^14-750155106246538624689052832728/6904477398739607765914213363*w^13+178338434426359307392984637392/6904477398739607765914213363*w^12-670435209305021661139920485904/6904477398739607765914213363*w^11-558144954126809343701894562711/27617909594958431063656853452*w^10-140936073906958811566253156815/13808954797479215531828426726*w^9-173787677577891531274386825297/6904477398739607765914213363*w^8+245709131542313544689811602066/6904477398739607765914213363*w^7-123110636648697899183984455772/6904477398739607765914213363*w^6+62961505965617635520529366184/6904477398739607765914213363*w^5-43783045018245858779049342016/6904477398739607765914213363*w^4-62368964426172161164241350961/27617909594958431063656853452*w^3+26951760972186740887780617348/6904477398739607765914213363*w^2-4360371140176203866494312311/6904477398739607765914213363*w+14698816142285260251751349006/6904477398739607765914213363,308791360983798885503615684/6904477398739607765914213363*w^27+486499574671990540233734696/6904477398739607765914213363*w^26-128595992389822061705776928/6904477398739607765914213363*w^25-1271110164819392006264871375/27617909594958431063656853452*w^24-440248344864738861740560030/6904477398739607765914213363*w^23-84588522169335906851474484/6904477398739607765914213363*w^22+332974878087747860623363616/6904477398739607765914213363*w^21-88776627273429528832163607888/6904477398739607765914213363*w^20-140364248993150254746252312352/6904477398739607765914213363*w^19-280598146650474887020539977712/6904477398739607765914213363*w^18-1633412769649149830436799093585/27617909594958431063656853452*w^17-370942787365144280209271790969/13808954797479215531828426726*w^16-349709863034827077335552275402/6904477398739607765914213363*w^15+245217439010237586550940476212/6904477398739607765914213363*w^14-73910606763081067198914768936/6904477398739607765914213363*w^13+240609886523697753095838003152/6904477398739607765914213363*w^12+12651999434892801630124326416/6904477398739607765914213363*w^11-360934391120996162061504180841/27617909594958431063656853452*w^10+337324953454642218496839559473/13808954797479215531828426726*w^9-34568931035077056879013933487/6904477398739607765914213363*w^8+249559662883308309191431213202/6904477398739607765914213363*w^7+49927286527639161077784949852/6904477398739607765914213363*w^6+69824717536237171365703951528/6904477398739607765914213363*w^5+5740788305428646319619597376/6904477398739607765914213363*w^4-62583422351526997465679826895/27617909594958431063656853452*w^3+26776534458178477742885302020/6904477398739607765914213363*w^2+6386920583181803093777168247/6904477398739607765914213363*w+14655296479308740973291939086/6904477398739607765914213363,-1224352912830917924227424816/6904477398739607765914213363*w^27+1036706752522009782969831648/6904477398739607765914213363*w^26+3387601052967684134862351281/27617909594958431063656853452*w^25+377548103101939599331009595/13808954797479215531828426726*w^24-890353605901116521888787764/6904477398739607765914213363*w^23-176749558391931528943218418/6904477398739607765914213363*w^22+717432440640293441212156720/6904477398739607765914213363*w^21+352806565113801614724417651200/6904477398739607765914213363*w^20-299158265974013882392274787552/6904477398739607765914213363*w^19+4058268339925820071387644825007/27617909594958431063656853452*w^18-2239127978982119541267406505335/13808954797479215531828426726*w^17+1149074244586754865269345773750/6904477398739607765914213363*w^16-1636487499770246654514712636220/6904477398739607765914213363*w^15+664276437348232041687541788864/6904477398739607765914213363*w^14-716906612116617847748035382592/6904477398739607765914213363*w^13-144471563438942210475141412160/6904477398739607765914213363*w^12+1112679597987239087768688025623/27617909594958431063656853452*w^11-787848912978316856575331899250/6904477398739607765914213363*w^10+272997858730028492985851008849/6904477398739607765914213363*w^9-659125740488760136773024117340/6904477398739607765914213363*w^8+80602156497225058313982159676/6904477398739607765914213363*w^7-122346101647320866811826623248/6904477398739607765914213363*w^6-47412682083028639010865776560/6904477398739607765914213363*w^5+123893229116472600399673726897/27617909594958431063656853452*w^4-99056161387671082117745656268/6904477398739607765914213363*w^3+2996524760545378024937618039/6904477398739607765914213363*w^2-43143715500848066733026887118/6904477398739607765914213363*w+1708359551111261787082294588/6904477398739607765914213363,1054375663595545689814401584/6904477398739607765914213363*w^27-687838486383649373175914272/6904477398739607765914213363*w^26-2918597310266962959329348175/27617909594958431063656853452*w^25-791473406441480697476441147/13808954797479215531828426726*w^24+231869507894009524441813452/6904477398739607765914213363*w^23+269684407674135436971721970/6904477398739607765914213363*w^22-100706216082886119594865872/6904477398739607765914213363*w^21-303854215726864372117610760704/6904477398739607765914213363*w^20+198116397996413147161776522016/6904477398739607765914213363*w^19-3494207571379048889391653109073/27617909594958431063656853452*w^18+1642092230615614989536650487415/13808954797479215531828426726*w^17-835168250446651017169733220426/6904477398739607765914213363*w^16+1319653825326805448732797758268/6904477398739607765914213363*w^15-170723862112556796838267521856/6904477398739607765914213363*w^14+644007160724267645947821892928/6904477398739607765914213363*w^13+432606288544922656322162756288/6904477398739607765914213363*w^12-915469034981425906128297643753/27617909594958431063656853452*w^11+748189438211634536131802868082/6904477398739607765914213363*w^10-133779112187214018590478117039/6904477398739607765914213363*w^9+595390820084910577523110300764/6904477398739607765914213363*w^8+62867131540742610306491371324/6904477398739607765914213363*w^7+129209313217940402657001208592/6904477398739607765914213363*w^6+61031744167254597116532582480/6904477398739607765914213363*w^5-124107687041827436701112202831/27617909594958431063656853452*w^4+90432753405557278503908662476/6904477398739607765914213363*w^3+7750766962812628935333862519/6904477398739607765914213363*w^2+43100195837871547454567477198/6904477398739607765914213363*w-1180348209354665507773439684/6904477398739607765914213363,106269646057343531910660976/6904477398739607765914213363*w^27-5811842056639702267684236209/27617909594958431063656853452*w^26-1883160139271692193362382523/13808954797479215531828426726*w^25+216819567841409347480383480/6904477398739607765914213363*w^24+666056612060366712687243762/6904477398739607765914213363*w^23-144417533747001627993933040/6904477398739607765914213363*w^22-499083063245559482781176832/6904477398739607765914213363*w^21-30522581399223869707036727648/6904477398739607765914213363*w^20+1675153289072280312174934644049/27617909594958431063656853452*w^19+323684825059584119832611553783/13808954797479215531828426726*w^18+1430888156341215731524665349201/6904477398739607765914213363*w^17+623161779560488651743995532092/6904477398739607765914213363*w^16+1911250324522259404621523978152/6904477398739607765914213363*w^15+712842552995066899052122617376/6904477398739607765914213363*w^14+1170126310387107936447102891232/6904477398739607765914213363*w^13+3347068916385140502026312511721/27617909594958431063656853452*w^12+558079076666365480134482213362/6904477398739607765914213363*w^11+1076528584664912333038416046944/6904477398739607765914213363*w^10+450769131875791548619623358556/6904477398739607765914213363*w^9+718019850927451128308830074856/6904477398739607765914213363*w^8+181879782213348399280063738256/6904477398739607765914213363*w^7+180198905584883445897099094272/6904477398739607765914213363*w^6+368563321655249006838442310479/27617909594958431063656853452*w^5+67818064693246292460265361804/6904477398739607765914213363*w^4+95555399693441239964338692100/6904477398739607765914213363*w^3+45170264943853665960309743054/6904477398739607765914213363*w^2+27645753070482739437960993504/6904477398739607765914213363*w-2369946976555111974543511088/6904477398739607765914213363,-216795006159549456148357120/6904477398739607765914213363*w^27+7934034415376851044350112/6904477398739607765914213363*w^26-600794744028525393527492964/6904477398739607765914213363*w^25-34113628064680796621978368/6904477398739607765914213363*w^24-22178720700202760577108986/6904477398739607765914213363*w^23+42768910521333284639205888/6904477398739607765914213363*w^22+54734765903644200014035968/6904477398739607765914213363*w^21+62395936690735932507059470336/6904477398739607765914213363*w^20-2361626180233167280961380832/6904477398739607765914213363*w^19+792102898828864683315525525325/13808954797479215531828426726*w^18+1759238923163019229834891776/6904477398739607765914213363*w^17+936057279920793155051964271564/6904477398739607765914213363*w^16+11227522114946626450919856640/6904477398739607765914213363*w^15+1080410997851314769249696423168/6904477398739607765914213363*w^14+84469026580954130307844372480/6904477398739607765914213363*w^13+627173581381673533067139674496/6904477398739607765914213363*w^12+335885623286801842104810341219/6904477398739607765914213363*w^11+154847061270747484392842382208/6904477398739607765914213363*w^10+474817718129457155729858469884/6904477398739607765914213363*w^9+5200307881578022979461259776/6904477398739607765914213363*w^8+249076533198843941472199832864/6904477398739607765914213363*w^7+12428207876119892224571588608/6904477398739607765914213363*w^6+36868852618970553497432755488/6904477398739607765914213363*w^5+40386212391430407066624769175/13808954797479215531828426726*w^4+1240900035753740416686379648/6904477398739607765914213363*w^3+11656504986389201704039230538/6904477398739607765914213363*w^2-317556878329846706505672192/6904477398739607765914213363*w-47088967899201885990970832/6904477398739607765914213363,-1462571634846037492377464124/6904477398739607765914213363*w^27-1430984247859654792063757432/6904477398739607765914213363*w^26-2862304853730475795040492079/13808954797479215531828426726*w^25+3909178384781471188860483121/27617909594958431063656853452*w^24+642490998508232341044245684/6904477398739607765914213363*w^23-952893117653386091047794740/6904477398739607765914213363*w^22-615967410410481258962299968/6904477398739607765914213363*w^21+421941624000796190622140281520/6904477398739607765914213363*w^20+412729991544404668243457628032/6904477398739607765914213363*w^19+1915048215426131924540253352342/6904477398739607765914213363*w^18+4756202302859318237068656596655/27617909594958431063656853452*w^17+6785642434390338540190452434487/13808954797479215531828426726*w^16+1330930467432176985851626492470/6904477398739607765914213363*w^15+2981429721910319015105691842292/6904477398739607765914213363*w^14+1243890238759262816901154820056/6904477398739607765914213363*w^13+1777100559724219375144996063376/6904477398739607765914213363*w^12+3670546666320385482063943678999/13808954797479215531828426726*w^11+3602658622772444163835002325911/27617909594958431063656853452*w^10+3517556017775269009758079551829/13808954797479215531828426726*w^9+308308530076455419940224133713/6904477398739607765914213363*w^8+734331123189327813898327625306/6904477398739607765914213363*w^7+163936709083422753584580312156/6904477398739607765914213363*w^6+186027822228406283237117613864/6904477398739607765914213363*w^5+215476423775710919549945919691/6904477398739607765914213363*w^4+141729407420305853596675534385/27617909594958431063656853452*w^3+120834136458668894440161629679/6904477398739607765914213363*w^2+3224175607362548370875171703/6904477398739607765914213363*w+11801467593226479193950286950/6904477398739607765914213363,-2385662212111890234892651745/13808954797479215531828426726*w^27-295085730491667003117867417/6904477398739607765914213363*w^26-2499262928147907036702221663/27617909594958431063656853452*w^25+391791459289325476373138683/27617909594958431063656853452*w^24-119408388519723696906630549/6904477398739607765914213363*w^23-84118479212523448650163865/6904477398739607765914213363*w^22+1070984605607632375736557759/27617909594958431063656853452*w^21+687576406424666558242989973213/13808954797479215531828426726*w^20+338649699852428790316028365469/27617909594958431063656853452*w^19+1405853714254393116478541508583/6904477398739607765914213363*w^18+550845474890829298707483515419/13808954797479215531828426726*w^17+4789429777928798901214190736607/13808954797479215531828426726*w^16+348224821719893585087763672720/6904477398739607765914213363*w^15+2090176023162768446299856853272/6904477398739607765914213363*w^14+1137546563963460470812567198467/13808954797479215531828426726*w^13+997081213756311713627570251554/6904477398739607765914213363*w^12+4176997828065364219772650645247/27617909594958431063656853452*w^11+1301195043893096250427943840271/27617909594958431063656853452*w^10+2130860398780904161189743038643/13808954797479215531828426726*w^9+125249157380615273920131388613/6904477398739607765914213363*w^8+1872614947805601688833816449829/27617909594958431063656853452*w^7+55096852742795050401234562465/6904477398739607765914213363*w^6+306820851916057018944436627487/27617909594958431063656853452*w^5+154508706991979069506923535743/13808954797479215531828426726*w^4+28466159561457038995979651277/13808954797479215531828426726*w^3+148327090457599391674731895779/13808954797479215531828426726*w^2-1065019538460142681374000498/6904477398739607765914213363*w-1474411350443649971423900119/6904477398739607765914213363,-954637288733390939372973535/13808954797479215531828426726*w^27+452875342688562674447999079/6904477398739607765914213363*w^26-1464419998963250106300213887/27617909594958431063656853452*w^25+873895646033991449121866733/27617909594958431063656853452*w^24-285033191392570433638209109/6904477398739607765914213363*w^23-207999119449777595785225735/6904477398739607765914213363*w^22+1555398579206751587359956159/27617909594958431063656853452*w^21+275040096766270878975702992099/13808954797479215531828426726*w^20-523416185715571421117125720419/27617909594958431063656853452*w^19+596006625523121393223342343071/6904477398739607765914213363*w^18-1056194739334537935546683084035/13808954797479215531828426726*w^17+2291849349060850825324717373663/13808954797479215531828426726*w^16-817156094979225056583080541392/6904477398739607765914213363*w^15+1166300526461002600632260170648/6904477398739607765914213363*w^14-770286912669826557246830046339/13808954797479215531828426726*w^13+450471572229601751976376789282/6904477398739607765914213363*w^12+1746949499770501162648918740719/27617909594958431063656853452*w^11-1113313790822302699139385156175/27617909594958431063656853452*w^10+1542256633781730664931323794131/13808954797479215531828426726*w^9-312444352084832073357682658453/6904477398739607765914213363*w^8+1594177627541491939460292660773/27617909594958431063656853452*w^7+5262791130287708835928427839/6904477398739607765914213363*w^6+129858210324452679387241187359/27617909594958431063656853452*w^5+231459706302979065572519232663/13808954797479215531828426726*w^4-41110854202560119600290999065/13808954797479215531828426726*w^3+144918535846752431848920788227/13808954797479215531828426726*w^2-1289337825822781714498190030/6904477398739607765914213363*w-360762493535783364756699223/6904477398739607765914213363,-1879707415138609225358677973/6904477398739607765914213363*w^27+590790423843582700634074547/6904477398739607765914213363*w^26-720495234481202479675360308/6904477398739607765914213363*w^25-480541987960248410617142996/6904477398739607765914213363*w^24+516143118765974584876629536/6904477398739607765914213363*w^23+423422280871762234045201568/6904477398739607765914213363*w^22-1673321967650421412139608399/27617909594958431063656853452*w^21+1081600076037543620698079609603/13808954797479215531828426726*w^20-169786131297836794920345148759/6904477398739607765914213363*w^19+2140381724648036213778342280738/6904477398739607765914213363*w^18-469224783430480004149262674360/6904477398739607765914213363*w^17+3298282017310559442622403758768/6904477398739607765914213363*w^16-478477785920486618049472360432/6904477398739607765914213363*w^15+9729844078863590130115555873711/27617909594958431063656853452*w^14+999709628935168614333727062107/13808954797479215531828426726*w^13+550608981455268844166467165361/6904477398739607765914213363*w^12+1771459868760730769004480504016/6904477398739607765914213363*w^11-272384112491788585303508760084/6904477398739607765914213363*w^10+1463386730087021309756287265184/6904477398739607765914213363*w^9-114334406177025789906529419200/6904477398739607765914213363*w^8+1605259852097137019522522382615/27617909594958431063656853452*w^7+151090317462430501609083734487/6904477398739607765914213363*w^6-61807849488328434911891136085/6904477398739607765914213363*w^5+222392552221537783024354715324/6904477398739607765914213363*w^4-47466945168080212830958775680/6904477398739607765914213363*w^3+56373157141016555991057147232/6904477398739607765914213363*w^2+1652633798750568359380072688/6904477398739607765914213363*w-2560214797491179546752719951/27617909594958431063656853452,15336035192043162956749233927/27617909594958431063656853452*w^27-5650024271775050925405876951/27617909594958431063656853452*w^26+454729008453032338472360259/13808954797479215531828426726*w^25-295633676487734191442285568/6904477398739607765914213363*w^24-184021515188573572512816834/6904477398739607765914213363*w^23+265844276661558886108741552/6904477398739607765914213363*w^22+468896089441001463236270385/27617909594958431063656853452*w^21-4418584013439447438769585380393/27617909594958431063656853452*w^20+1626558332772209169700536202841/27617909594958431063656853452*w^19-8012829366480550605063081026217/13808954797479215531828426726*w^18+1537395439897042199885565279001/6904477398739607765914213363*w^17-5702088001865216929770790478276/6904477398739607765914213363*w^16+2261133040776429650905751453464/6904477398739607765914213363*w^15-15409021252412482507666697664721/27617909594958431063656853452*w^14+1248856525594088549760932942951/27617909594958431063656853452*w^13-2081006309461514073641681597807/27617909594958431063656853452*w^12-2343281136648491658402990003014/6904477398739607765914213363*w^11+1218938889039960127300310910300/6904477398739607765914213363*w^10-1988762373510236710444774124548/6904477398739607765914213363*w^9+904974705808649286130790761976/6904477398739607765914213363*w^8-1925739963117336967935595201833/27617909594958431063656853452*w^7+232628238631279992697118269067/27617909594958431063656853452*w^6+360379806870857325868918934201/27617909594958431063656853452*w^5-230772561838451964103110211672/6904477398739607765914213363*w^4+120584106785106998964122714424/6904477398739607765914213363*w^3-70732639201996151054255300798/6904477398739607765914213363*w^2+27491330108818457617620492144/6904477398739607765914213363*w-23202715596932743730882543899/27617909594958431063656853452,-13175637052529572980180834503/27617909594958431063656853452*w^27+493432844903332386162015659/13808954797479215531828426726*w^26+267131810899333545323922748/6904477398739607765914213363*w^25-102645000937008963165884642/6904477398739607765914213363*w^24-164802224942446363655618864/6904477398739607765914213363*w^23+23129777203205629109166240/6904477398739607765914213363*w^22+133161815018442273165588529/27617909594958431063656853452*w^21+3795538999838442246828303027497/27617909594958431063656853452*w^20-142046513365053979597145553463/13808954797479215531828426726*w^19+3308990188587586873268711090777/6904477398739607765914213363*w^18-224134822405696352478655276156/6904477398739607765914213363*w^17+4516268373928824369836496654472/6904477398739607765914213363*w^16-256319137277164858762923892176/6904477398739607765914213363*w^15+11748862896374297880515502690479/27617909594958431063656853452*w^14+3831575258350036732679604554009/27617909594958431063656853452*w^13+695585564851818705932818349667/6904477398739607765914213363*w^12+2189971258952308417308903966676/6904477398739607765914213363*w^11-118262716910873648223661038264/6904477398739607765914213363*w^10+1422757421946093450608466378664/6904477398739607765914213363*w^9-49299740641690635459314660912/6904477398739607765914213363*w^8+1205287166193191659408618557463/27617909594958431063656853452*w^7+513340939993594129397963774453/27617909594958431063656853452*w^6-25956747473429821028435991305/6904477398739607765914213363*w^5+145432582819536893610905842124/6904477398739607765914213363*w^4-21144550727667640923113343154/6904477398739607765914213363*w^3+26880270552116595785419811568/6904477398739607765914213363*w^2+1058957223210661009238196928/6904477398739607765914213363*w-26213311418815756572667700315/27617909594958431063656853452,4484000824652905868586259659/13808954797479215531828426726*w^27-1428527852500067839245740309/6904477398739607765914213363*w^26-1387012326062650010920903087/27617909594958431063656853452*w^25+3124957595582262396186699997/27617909594958431063656853452*w^24-203656677141005824291276917/6904477398739607765914213363*w^23-638645621053782845549586151/6904477398739607765914213363*w^22+589510799289286320280175367/13808954797479215531828426726*w^21-645159079957982563483535184400/6904477398739607765914213363*w^20+1645564481350661656010641104237/27617909594958431063656853452*w^19-2205422982554779733219288901507/6904477398739607765914213363*w^18+2486994758046551411219608539517/13808954797479215531828426726*w^17-5625828513567452752411756448897/13808954797479215531828426726*w^16+1437979238173169662347664659616/6904477398739607765914213363*w^15-6115832152915292834616949523791/27617909594958431063656853452*w^14-27593301367423889470528663535/6904477398739607765914213363*w^13+250965033378281032905965507076/6904477398739607765914213363*w^12-5705140635502443296363287684177/27617909594958431063656853452*w^11+2770815688827090460894987069329/27617909594958431063656853452*w^10-1637058267586902945810722916461/13808954797479215531828426726*w^9+205338364052612091119992958235/6904477398739607765914213363*w^8-16292616758175237871418210681/13808954797479215531828426726*w^7-118558836842654966503544304472/6904477398739607765914213363*w^6+282819343447189482916286027611/27617909594958431063656853452*w^5-250161253206712371748834137313/13808954797479215531828426726*w^4+8586097866299669693275256335/13808954797479215531828426726*w^3+34388221444883399529863100995/13808954797479215531828426726*w^2-1900397382524643546698870606/6904477398739607765914213363*w+25995494515632254308808534719/27617909594958431063656853452,-5711909167433314253289262275/27617909594958431063656853452*w^27+1205360799210582460593038478/6904477398739607765914213363*w^26+3019368545668435839801335803/27617909594958431063656853452*w^25+44070023145793495092985707/6904477398739607765914213363*w^24-2179902015156740193899185139/27617909594958431063656853452*w^23-552982448935826543162848370/6904477398739607765914213363*w^22+612738209415806045746636543/27617909594958431063656853452*w^21+411919642709632464277415987677/6904477398739607765914213363*w^20-1388774855444708476283915325517/27617909594958431063656853452*w^19+1249972622982260178657498371680/6904477398739607765914213363*w^18-2503712347474132066384583673523/13808954797479215531828426726*w^17+5751372133343821036423163952607/27617909594958431063656853452*w^16-6486285750375960085217154689475/27617909594958431063656853452*w^15+3197798547131292819325225112489/27617909594958431063656853452*w^14-1396315483772536955448286150439/27617909594958431063656853452*w^13-267900125301642242582833315357/13808954797479215531828426726*w^12+2971765146512649027521833821913/27617909594958431063656853452*w^11-1483164159447414376563266476117/13808954797479215531828426726*w^10+1545788823214450881805559298675/27617909594958431063656853452*w^9-828761420228979816949214885409/13808954797479215531828426726*w^8+250286608449505325606703345629/27617909594958431063656853452*w^7+124029588036669169075126599933/13808954797479215531828426726*w^6-5781700928190776861163950899/27617909594958431063656853452*w^5+96680080954794841660219570219/13808954797479215531828426726*w^4-112482652701689700610260642557/13808954797479215531828426726*w^3-62445769094991636008286812159/27617909594958431063656853452*w^2-6431423878809514488957506907/27617909594958431063656853452*w+38563495738235649840906688353/27617909594958431063656853452,-2680763995651089950423513077/6904477398739607765914213363*w^27+295835841108068298362517183/13808954797479215531828426726*w^26-1604193003186998708059161771/6904477398739607765914213363*w^25-4152909263637323058128757071/27617909594958431063656853452*w^24+1271014693731587703396056021/6904477398739607765914213363*w^23+879859582499838731333990121/6904477398739607765914213363*w^22-2798234347941080710008442395/27617909594958431063656853452*w^21+3085160968466477480428801819963/27617909594958431063656853452*w^20-84487638143259312448462830827/13808954797479215531828426726*w^19+12874412571706328578444736378747/27617909594958431063656853452*w^18+146699776228022634981763059671/6904477398739607765914213363*w^17+20570365183505172204822184962139/27617909594958431063656853452*w^16+601039715282466169817777931580/6904477398739607765914213363*w^15+15116789302007027731362789367703/27617909594958431063656853452*w^14+3195415760772171191989835544165/13808954797479215531828426726*w^13+1921243793442993307008829796527/13808954797479215531828426726*w^12+2821667989309099507704004603094/6904477398739607765914213363*w^11+610387124222599314849500436575/27617909594958431063656853452*w^10+4268825250512455889615660774957/13808954797479215531828426726*w^9+441977427518160785289420948241/6904477398739607765914213363*w^8+1827117352669133438057583230911/27617909594958431063656853452*w^7+1449737837860380551359988979623/27617909594958431063656853452*w^6-87330252231637063480412935250/6904477398739607765914213363*w^5+1075774639160181582049458067505/27617909594958431063656853452*w^4+111546155985842667112639516695/13808954797479215531828426726*w^3+283338875541723368347431761973/27617909594958431063656853452*w^2+95627113133918948792855018715/13808954797479215531828426726*w-59368957268809030956982561327/27617909594958431063656853452,-11462272114211745909827599443/27617909594958431063656853452*w^27-9579134050914385654240669265/27617909594958431063656853452*w^26+121521093654233840971019423/13808954797479215531828426726*w^25+2043328104758137523635666567/27617909594958431063656853452*w^24+1991357422159821767595012495/27617909594958431063656853452*w^23+132551583943198553425519273/6904477398739607765914213363*w^22-982769476405509690577993327/27617909594958431063656853452*w^21+824948992230759730499664390163/6904477398739607765914213363*w^20+2759314867633736058285803892829/27617909594958431063656853452*w^19+5857271633963788198200896913853/13808954797479215531828426726*w^18+2314688426889637879764723548381/6904477398739607765914213363*w^17+15680910726185734488637414418451/27617909594958431063656853452*w^16+11540312186178886107156540451267/27617909594958431063656853452*w^15+2222709242373471314693319125618/6904477398739607765914213363*w^14+10060718316224458166317147389923/27617909594958431063656853452*w^13+4006379838074867954970648365527/27617909594958431063656853452*w^12+2302611219483465444226910553808/6904477398739607765914213363*w^11+5394843572089065714716392311301/27617909594958431063656853452*w^10+5121116977125421199724974354391/27617909594958431063656853452*w^9+1630359893685351083565238536275/13808954797479215531828426726*w^8+551860033463785892743274244135/27617909594958431063656853452*w^7+478526160018076225898232377235/13808954797479215531828426726*w^6+177582995360985998072065703863/27617909594958431063656853452*w^5+204716647785189991743363696167/6904477398739607765914213363*w^4+126315034259999765009472453908/6904477398739607765914213363*w^3+157411187391952886188116282033/27617909594958431063656853452*w^2+28502291280285974667331893167/27617909594958431063656853452*w-4240643228374210376948131413/13808954797479215531828426726,10999397534741954446046705091/27617909594958431063656853452*w^27+4532425283588054698070812137/27617909594958431063656853452*w^26-435300927550152888258563347/27617909594958431063656853452*w^25-1192789961011431122999729709/6904477398739607765914213363*w^24-423211167369066883521205291/27617909594958431063656853452*w^23+903171618185138902491436072/6904477398739607765914213363*w^22+118112290174571844963085183/27617909594958431063656853452*w^21-792824256660628733000066405917/6904477398739607765914213363*w^20-652873847691420076551330818895/13808954797479215531828426726*w^19-5589498879479431685369216365589/13808954797479215531828426726*w^18-821002971118784249534214750205/6904477398739607765914213363*w^17-15272072054713947085804298956785/27617909594958431063656853452*w^16-2664028234020957250537521329709/27617909594958431063656853452*w^15-9529892400236001279680368050391/27617909594958431063656853452*w^14-3998849181416137988574727651033/27617909594958431063656853452*w^13-3361427525903654474325817556003/27617909594958431063656853452*w^12-7162331860293225629708446777855/27617909594958431063656853452*w^11-662039027704046134788576214253/13808954797479215531828426726*w^10-5016997765919851405090252537373/27617909594958431063656853452*w^9-140446968707487096509403795063/13808954797479215531828426726*w^8-937635054060237282606570688355/27617909594958431063656853452*w^7-229327060039076773607062102525/13808954797479215531828426726*w^6+13140494696102048782849154751/13808954797479215531828426726*w^5-270330039277447146816500576361/13808954797479215531828426726*w^4-24559497630163011869486566332/6904477398739607765914213363*w^3-111807064870879407801337013575/27617909594958431063656853452*w^2-21575722061547755826636748913/27617909594958431063656853452*w+36368876606996107531416544417/27617909594958431063656853452,-562765487387067736766208316/6904477398739607765914213363*w^27-81376514251564609346932192/6904477398739607765914213363*w^26+430646501604005249764360416/6904477398739607765914213363*w^25+376376980628178946799605425/27617909594958431063656853452*w^24-969519973017474749485798973/13808954797479215531828426726*w^23-401046552232681338144762420/6904477398739607765914213363*w^22+396265348501360284275005262/6904477398739607765914213363*w^21+162487735963367494694018279088/6904477398739607765914213363*w^20+23125717740563862625106136000/6904477398739607765914213363*w^19+454085267919233220788239517712/6904477398739607765914213363*w^18+227382032080749228518054921903/27617909594958431063656853452*w^17+1015425037595533112432312220567/13808954797479215531828426726*w^16+135748524376996862498628669622/6904477398739607765914213363*w^15+303915333674148611831585290796/6904477398739607765914213363*w^14+431303129023108928130048114648/6904477398739607765914213363*w^13+139381753917922230233854672480/6904477398739607765914213363*w^12+475598170922152746752618780176/6904477398739607765914213363*w^11+193600252739433582005289282071/27617909594958431063656853452*w^10+212359369782271070469412844543/6904477398739607765914213363*w^9+64641250117059904832450250065/6904477398739607765914213363*w^8+54813076479103225854752405192/6904477398739607765914213363*w^7+103086941238396980284391150684/6904477398739607765914213363*w^6+10440121854533940074406694464/6904477398739607765914213363*w^5+30713510679719950051300510784/6904477398739607765914213363*w^4-1059157661226558230247450959/27617909594958431063656853452*w^3-11089635740786067127848810129/6904477398739607765914213363*w^2+5023074203550977252220473975/6904477398739607765914213363*w-6885125480514457742069385663/6904477398739607765914213363,-199230143843691086388351385/27617909594958431063656853452*w^27+10015765967811796525273263505/27617909594958431063656853452*w^26+521927849306269559528300621/6904477398739607765914213363*w^25-621180054675845309062317951/6904477398739607765914213363*w^24-964422421234262763779701190/6904477398739607765914213363*w^23+1047243147567833753100776497/27617909594958431063656853452*w^22+941057406811225056635970917/6904477398739607765914213363*w^21+28493806815926677106206752751/13808954797479215531828426726*w^20-1443731581809986379159085563581/13808954797479215531828426726*w^19-99277366697539943645291674291/6904477398739607765914213363*w^18-2394542394575130098692565444079/6904477398739607765914213363*w^17-747115781738315551546868907205/27617909594958431063656853452*w^16-12171775775080578277225288714801/27617909594958431063656853452*w^15+65051062419684308947872698907/27617909594958431063656853452*w^14-6931029260168747119383167445245/27617909594958431063656853452*w^13-2889829800159567759044881372275/27617909594958431063656853452*w^12-834913807748985672017729014515/13808954797479215531828426726*w^11-1645808606668600126262574593378/6904477398739607765914213363*w^10+104365108582500768837284368852/6904477398739607765914213363*w^9-4208330880215517676642743516297/27617909594958431063656853452*w^8+408897230359300899386704349645/13808954797479215531828426726*w^7-411264578028871564142573215143/13808954797479215531828426726*w^6-222282224579867726610633528131/13808954797479215531828426726*w^5+10460175187058235080997617852/6904477398739607765914213363*w^4-169465274026295073287174874145/6904477398739607765914213363*w^3+160844551620474719844311372877/27617909594958431063656853452*w^2-116822329216315852939114415253/27617909594958431063656853452*w+39499598128595917965297633839/27617909594958431063656853452,6899979279060642189060755175/27617909594958431063656853452*w^27-1677734189534640490634643322/6904477398739607765914213363*w^26+248224523114015857107618767/27617909594958431063656853452*w^25-50246344091564239843901781/13808954797479215531828426726*w^24+951398317145534876012620639/27617909594958431063656853452*w^23+1253382524924094554810546433/27617909594958431063656853452*w^22-631614429634833939610658617/27617909594958431063656853452*w^21-1988446816604836072438007721489/27617909594958431063656853452*w^20+966468234773283288105879693777/13808954797479215531828426726*w^19-7163715874744554019960332499283/27617909594958431063656853452*w^18+3463915133680319757281442771293/13808954797479215531828426726*w^17-10466258159554060872443498556391/27617909594958431063656853452*w^16+9405529655952061430107758149427/27617909594958431063656853452*w^15-7776286876967370763961943889147/27617909594958431063656853452*w^14+3273165399929917841957489345695/27617909594958431063656853452*w^13-229179281537976865146164841099/13808954797479215531828426726*w^12-4224814584873028201978982471111/27617909594958431063656853452*w^11+1195818109130517600108876355466/6904477398739607765914213363*w^10-4188575308785317011166867389499/27617909594958431063656853452*w^9+3390151936707221032619839519741/27617909594958431063656853452*w^8-1220954060607068056202230699809/27617909594958431063656853452*w^7+211257949253339546386696199399/27617909594958431063656853452*w^6+72600450411276948058086678782/6904477398739607765914213363*w^5-533507751396470904824407884497/27617909594958431063656853452*w^4+102845420198898927159172500544/6904477398739607765914213363*w^3-133136588313136723899167683405/27617909594958431063656853452*w^2+95685173789897980334113506971/27617909594958431063656853452*w-36475225197132792411344997715/27617909594958431063656853452,-11437198771131703381941209857/27617909594958431063656853452*w^27+7164793858950369345145908689/27617909594958431063656853452*w^26-2178638298316885300139251771/27617909594958431063656853452*w^25+1226276014849206206767833397/13808954797479215531828426726*w^24-369407302064258025052993705/27617909594958431063656853452*w^23-3049575073646591288989047869/27617909594958431063656853452*w^22+160214393261451482443556396/6904477398739607765914213363*w^21+1648853817736263257512237353893/13808954797479215531828426726*w^20-2064095398295687662865142202159/27617909594958431063656853452*w^19+12380880748442938691124188272379/27617909594958431063656853452*w^18-8072035524601030688713935808193/27617909594958431063656853452*w^17+18819582987186165237618332528803/27617909594958431063656853452*w^16-5979718372634556659417145478557/13808954797479215531828426726*w^15+14308320129848453571355871872267/27617909594958431063656853452*w^14-4411816737470120297412603004805/27617909594958431063656853452*w^13+2600058448348446934485240104441/27617909594958431063656853452*w^12+6767090359941890004534952467737/27617909594958431063656853452*w^11-1371264677305575133605076011382/6904477398739607765914213363*w^10+7600776496774242111815718499585/27617909594958431063656853452*w^9-4098886036884162909545087238689/27617909594958431063656853452*w^8+1290127078739099482201783255355/13808954797479215531828426726*w^7-87327315944615997313159794623/13808954797479215531828426726*w^6-202985859058400888269504492241/27617909594958431063656853452*w^5+873403161517527208502011116883/27617909594958431063656853452*w^4-443553167858727797959154231189/27617909594958431063656853452*w^3+346422972557059941243771701535/27617909594958431063656853452*w^2+6268819622597114631499002774/6904477398739607765914213363*w-15357179317023119243977329659/27617909594958431063656853452,-10652601270236041399495233051/27617909594958431063656853452*w^27+9508369116735450351787686529/13808954797479215531828426726*w^26+2805971356938196251733422289/27617909594958431063656853452*w^25-5322808271934375375388472123/13808954797479215531828426726*w^24-475912939312744721362022878/6904477398739607765914213363*w^23+1555738342203883950256881561/6904477398739607765914213363*w^22+1508687378354116698563847847/13808954797479215531828426726*w^21+1531772890171707034648677385731/13808954797479215531828426726*w^20-1370002536235014212708011844418/6904477398739607765914213363*w^19+10146188696588278938182709147053/27617909594958431063656853452*w^18-16480047294554778600051499655247/27617909594958431063656853452*w^17+3250179716874630424076002998746/6904477398739607765914213363*w^16-18235979557008798730012407501287/27617909594958431063656853452*w^15+7275763915411170142047182020705/27617909594958431063656853452*w^14-4366254123249828261588754164139/27617909594958431063656853452*w^13-1497420550869412978052321533072/6904477398739607765914213363*w^12+6922181575433360802400562922307/27617909594958431063656853452*w^11-2856389901407523452778476590754/6904477398739607765914213363*w^10+1134514263230585568306940545093/6904477398739607765914213363*w^9-1097993173004037243881937510613/6904477398739607765914213363*w^8+106679248160309907685413789171/13808954797479215531828426726*w^7+395224232573189538505050794385/13808954797479215531828426726*w^6-353827027510832250890677836324/6904477398739607765914213363*w^5+776801238787671497957626841327/27617909594958431063656853452*w^4-692506984438585452399631807691/27617909594958431063656853452*w^3-22256813572759388880816437857/13808954797479215531828426726*w^2+136732808090547635720812795139/27617909594958431063656853452*w-10581076550502917519547096723/27617909594958431063656853452]\n" }, { "path": "anc/code/1.3.7/expected/s01_curve.out", "size_bytes": 2955, "sha256": "e623f1cf2146374afffc995fe3f0d5f415006d29ae380093b633ff887cbe8285", "mode": 420, "encoding": "utf-8", "text": "PASS: Euler identity x F_x + y F_y + z F_z = 4F\nchart ('x', 'y') gcd of eliminants = [2, 1; 11, 1; 41269, 1]\nPASS: eliminant nonzero in chart ('x', 'y')\nchart ('x', 'z') gcd of eliminants = [2, 1; 11, 1; 41269, 1]\nPASS: eliminant nonzero in chart ('x', 'z')\nchart ('y', 'z') gcd of eliminants = [2, 1; 11, 1; 41269, 1]\nPASS: eliminant nonzero in chart ('y', 'z')\ncandidate bad primes: [2, 11, 41269]\np = 2 : singular points over F_p: [(1, 1, 1)] (singular points over proper extensions found: 0 )\np = 11 : singular points over F_p: [(1, 1, 7)] (singular points over proper extensions found: 0 )\np = 41269 : singular points over F_p: [(1, 12101, 2748)] (singular points over proper extensions found: 0 )\nPASS: bad primes of the plane model are exactly 2, 11, 41269\nPASS: p=2: exactly one singular point over F_p-bar, and it is F_p-rational: [(1, 1, 1)]\nPASS: p=2: the singular point (1, 1, 1) is an ordinary double point (split); quadratic part (0, 1, 0)\n p=2: v_p(F(lift)) = 1 at the lift [1, 1, 1]\nPASS: p=11: exactly one singular point over F_p-bar, and it is F_p-rational: [(1, 1, 7)]\nPASS: p=11: the singular point (1, 1, 7) is an ordinary double point (non-split); quadratic part (8, 2, 2)\n p=11: v_p(F(lift)) = 1 at the lift [1, 1, 7]\nPASS: p=11: v_p(F(lift of node)) = 1, so the plane model is regular at the node\nPASS: p=41269: exactly one singular point over F_p-bar, and it is F_p-rational: [(1, 12101, 2748)]\nPASS: p=41269: the singular point (1, 12101, 2748) is an ordinary double point (split); quadratic part (35580, 6374, 39587)\n p=41269: v_p(F(lift)) = 1 at the lift [1, 12101, 2748]\nPASS: p=41269: v_p(F(lift of node)) = 1, so the plane model is regular at the node\n (each special fibre has a single singular point, an ordinary double point; two components of a reducible plane quartic meet with total intersection number at least 3, so each special fibre above is irreducible)\nPASS: F|_{x=0} = y*z^2*(y-z)\nPASS: F|_{y=0} = x^3*z\nPASS: F|_{z=0} = x*y^3\n => points with xyz=0: P1=(1:0:0), P2=(0:1:0), P3=(0:0:1), P4=(0:1:1)\nPASS: div(z) = 3 P1 + P2 (F(x,y,0) = x y^3)\nPASS: div(y) = P1 + 3 P3 (F(x,0,z) = x^3 z)\nPASS: div(x) = 2 P2 + P3 + P4 (F(0,y,z) = y z^2 (y-z))\n => [P2-P1] = 3G and [P4-P1] = -4G for G = [P3-P1] (div(z/y) = 2P1+P2-3P3, div(x/y) = 2P2+P4-P1-2P3)\np=3: (N1,N2,N3) = (4, 10, 37), L(T) coefficients [1, 0, 0, 3, 0, 0, 27], #J(F_p) = L(1) = 31 = Mat([31, 1])\np=5: (N1,N2,N3) = (6, 26, 171), L(T) coefficients [1, 0, 0, 15, 0, 0, 125], #J(F_p) = L(1) = 141 = [3, 1; 47, 1]\np=7: (N1,N2,N3) = (10, 66, 313), L(T) coefficients [1, 2, 10, 7, 70, 98, 343], #J(F_p) = L(1) = 531 = [3, 2; 59, 1]\np=17: (N1,N2,N3) = (30, 308, 4884), L(T) coefficients [1, 12, 81, 386, 1377, 3468, 4913], #J(F_p) = L(1) = 10238 = [2, 1; 5119, 1]\nPASS: #J(F_p) = 31, 141, 531, 10238 for p = 3, 5, 7, 17\nPASS: gcd(#J(F_5), #J(F_17)) = 1, so J(Q)_tors = 0 (torsion injects at good odd p)\nPASS: #C(F_3) = 4\nPASS: #C(F_5) = 6\ns01 done\n" }, { "path": "anc/code/1.3.7/expected/s02_field.out", "size_bytes": 2054, "sha256": "56991c03504d54d62714d1d3d37e2fa8bed29eecb5fed198b69de1d2b06bca50", "mode": 420, "encoding": "utf-8", "text": "Q(x,1) coefficients c4..c0: ['m^3', '3*s*m^2 + 1', 'm^2 + 3*s^2*m', '(2*s - 1)*m + s^3', 's^2 - s']\nRes_n(e1,e2) factors (degree in m, multiplicity): [(1, 24), (28, 1)]\nPASS: the degree-28 factor of the eliminant is the paper's B(m)\nPASS: the other factors are powers of m (m = 0: y = n z meets C at P1 with odd multiplicity, not a bitangent)\nPASS: B is irreducible over Q\nPASS: B is squarefree (28 distinct slopes)\ng(w) = w^28 - 288*w^21 - 1028*w^19 - 1440*w^17 - 960*w^15 - 346*w^14 - 256*w^13 - 748*w^12 - 528*w^10 - 128*w^8 - 56*w^7 - 68*w^5 - 16*w^3 + 1\nPASS: nfcertify(nf) = []: the maximal order is proved (unconditional)\nPASS: d_K = 2^42 * 11^6 * 41269^6 ([2, 42; 11, 6; 41269, 6])\nPASS: signature (r1, r2) = (4, 12)\nPASS: B(a) = 0 in K, so K = Q(a)\nPASS: F(x, a x + n z, z) = a^3 (x^2 + u x z + v z^2)^2 in K[x,z]: y = a x + n z is a bitangent\nPASS: leading coefficient c4 = a^3\n => the 28 conjugates of (a, n) give 28 distinct bitangents (distinct slopes): all bitangents of C\nPASS: -n is a square in K\nPASS: a is a unit of O_K\n N(a) = 1 N(n) = 1\n primes above 2: (e,f) = [(4, 1), (2, 3), (2, 3), (4, 3)] local degrees [4, 6, 6, 12]\n primes above 11: (e,f) = [(1, 1), (1, 3), (1, 6), (1, 6), (2, 6)] local degrees [1, 3, 6, 6, 12]\n primes above 41269: (e,f) = [(2, 2), (2, 4), (1, 8), (1, 8)] local degrees [4, 8, 8, 8]\nPASS: #S = 13 primes of K above 2, 11, 41269\nPASS: ramification indices [1,1,1,1,2] above 11 and [2,2,1,1] above 41269\nPASS: local degrees above 2 (= orbit sizes of a decomposition group at 2 on the bitangents) are 4, 6, 6, 12\n order divisible by 5: Frob_13 has cycle type [3, 5, 5, 15] (order 15)\n order divisible by 7: Frob_29 has cycle type [7, 7, 7, 7] (order 7)\n order divisible by 9: Frob_3 has cycle type [1, 9, 9, 9] (order 9)\nPASS: the Galois group of B contains elements of order 5, 7 and 9\n => (Gal(B) <= Sp_6(F_2), and no maximal subgroup of Sp_6(F_2) has elements of orders 5, 7, 9) Gal(B) = Sp_6(F_2)\nPASS: K has no quadratic subfield (nfsubfields(K,2) = []) [0.0 s]\ns02 done [0.7 s]\n" }, { "path": "anc/code/1.3.7/expected/s03_global_kernel.out", "size_bytes": 600, "sha256": "cc732b08415e8ce2558dc3092383a0e77e103c190a14484884a7ec6f32467378", "mode": 420, "encoding": "utf-8", "text": "PASS: 28 odd quadratic forms (Arf invariant 1)\nPASS: for every T != 0, #{q odd : q(T) = 0} = 12 (and 16 forms have q(T) = 1)\nPASS: the 63 Steiner supports are pairwise distinct (so V -> M is injective)\nPASS: the transvections generate a group of order 1451520 = |Sp_6(F_2)| acting on the 28 odd forms\nPASS: the action on the 28 bitangents is transitive and primitive\nPASS: U = <1> + V has dimension 7 in F_2^28\n dim W = dim{m in F_2^28 : g m - m in <1>+V for all 63 transvections g} = 7\nPASS: (M/V)^G = W/U = 0: the global kernel is 0, so delta is injective on J(Q)/2J(Q)\nPASS: J[2]^G = 0\ns03 done\n" }, { "path": "anc/code/1.3.7/expected/s04_sunits.out", "size_bytes": 2434, "sha256": "26d2ae06eb20f6cca9ca2820c8cbed25e14fcc5e86c8acd58afca674af3c96b2", "mode": 420, "encoding": "utf-8", "text": "PASS: -1: norm 1\nPASS: u_1 is a unit, norm 1 (printed 1)\nPASS: u_2 is a unit, norm 1 (printed 1)\nPASS: u_3 is a unit, norm 1 (printed 1)\nPASS: u_4 is a unit, norm 1 (printed 1)\nPASS: u_5 is a unit, norm -1 (printed -1)\nPASS: u_6 is a unit, norm -1 (printed -1)\nPASS: u_7 is a unit, norm 1 (printed 1)\nPASS: u_8 is a unit, norm -1 (printed -1)\nPASS: u_9 is a unit, norm 1 (printed 1)\nPASS: u_10 is a unit, norm 1 (printed 1)\nPASS: u_11 is a unit, norm 1 (printed 1)\nPASS: u_12 is a unit, norm -1 (printed -1)\nPASS: u_13 is a unit, norm -1 (printed -1)\nPASS: u_14 is a unit, norm -1 (printed -1)\nPASS: u_15 is a unit, norm -1 (printed -1)\nPASS: pi_1 is an S-unit: (pi_1) = P(2;e=4,f=1)^1; norm 2 (printed 2)\nPASS: pi_2 is an S-unit: (pi_2) = P(2;e=2,f=3)^1; norm -8 (printed -8)\nPASS: pi_3 is an S-unit: (pi_3) = P(2;e=2,f=3)^1; norm -8 (printed -8)\nPASS: pi_4 is an S-unit: (pi_4) = P(2;e=4,f=3)^1; norm -8 (printed -8)\nPASS: pi_5 is an S-unit: (pi_5) = P(11;e=1,f=1)^1; norm -11 (printed -11)\nPASS: pi_6 is an S-unit: (pi_6) = P(11;e=1,f=3)^1; norm -1331 (printed -1331)\nPASS: pi_7 is an S-unit: (pi_7) = P(11;e=1,f=6)^1; norm 1771561 (printed 1771561)\nPASS: pi_8 is an S-unit: (pi_8) = P(11;e=1,f=6)^1; norm 1771561 (printed 1771561)\nPASS: pi_9 is an S-unit: (pi_9) = P(11;e=2,f=6)^1; norm 1771561 (printed 1771561)\nPASS: pi_10 is an S-unit: (pi_10) = P(41269;e=2,f=2)^1; norm 1703130361 (printed 1703130361)\nPASS: pi_11 is an S-unit: (pi_11) = P(41269;e=2,f=4)^1; norm -2900653026559990321 (printed -2900653026559990321)\nPASS: pi_12 is an S-unit: (pi_12) = P(41269;e=1,f=8)^1; norm 8413787980491631914592311851613683041 (printed 8413787980491631914592311851613683041)\nPASS: pi_13 is an S-unit: (pi_13) = P(41269;e=1,f=8)^1; norm 8413787980491631914592311851613683041 (printed 8413787980491631914592311851613683041)\nPASS: the ideals (pi_1),...,(pi_13) are pairwise distinct: they are the 13 primes of S\n 550 degree-1 characters computed\nPASS: the 29 elements are independent in K^x/K^x2 (character matrix of rank 29)\n => they form an F_2-basis of O_{K,S}^x/O_{K,S}^x2 (dimension 1 + 15 + 13 = 29)\n 29 characters suffice: [(3, 2), (5, 1), (7, 5), (19, 10), (23, 14), (23, 16), (37, 32), (41, 10), (43, 11), (47, 15), (47, 18), (59, 29), (67, 18), (71, 20), (79, 38), (89, 54), (103, 29), (103, 94), (107, 92), (109, 5), (109, 39), (113, 76), (131, 89), (137, 16), (157, 84), (157, 116), (167, 98), (173, 9), (181, 38)]\ns04 done\n" }, { "path": "anc/code/1.3.7/expected/s05a_principal_witnesses.out", "size_bytes": 804, "sha256": "d859d20f0a7c9d40eb36b8fafba675a255d83999d8b84e408a753c9d61d35081", "mode": 420, "encoding": "utf-8", "text": "RANGE 2 50000: 5211 prime ideals of norm <= 442413 with proposed generators, 104.3 s\nRANGE 50000 100000: 4391 prime ideals of norm <= 442413 with proposed generators, 90.3 s\nRANGE 100000 150000: 4303 prime ideals of norm <= 442413 with proposed generators, 87.2 s\nRANGE 150000 200000: 4232 prime ideals of norm <= 442413 with proposed generators, 85.1 s\nRANGE 200000 250000: 4122 prime ideals of norm <= 442413 with proposed generators, 84.6 s\nRANGE 250000 300000: 3854 prime ideals of norm <= 442413 with proposed generators, 80.4 s\nRANGE 300000 350000: 3871 prime ideals of norm <= 442413 with proposed generators, 83.4 s\nRANGE 350000 400000: 3925 prime ideals of norm <= 442413 with proposed generators, 83.0 s\nRANGE 400000 442414: 3246 prime ideals of norm <= 442413 with proposed generators, 67.7 s\n" }, { "path": "anc/code/1.3.7/expected/s05b_check_classgroup.out", "size_bytes": 677, "sha256": "66f9130f08feae5f8c154c71faceb7b9837477439f91567bf7777adaa06cf141", "mode": 420, "encoding": "utf-8", "text": "index [O_K : Z[w]] = [2, 24; 717344179, 1; 9625055309383932097, 1]\ndata/zk.txt SHA-256 eb575120fdad42a7686adbdb15ed11e193eabb453981b6d3176e9cee89772ed0\nprime ideals of norm <= 442413: 37155 (24.8 s)\nPASS: witnesses are given for exactly the rational primes below primes of norm <= 442413\nPASS: all 37155 prime ideals of norm < e^13 are principal (exact check of 37155 generators, 237 s)\nprime-power terms: 25333 distinct pairs (N(P), m); 37333 pairs (P, m)\narchimedean+discriminant part: [-0.78489255426850599306 +/- 3.50e-21]\nB_0(13) = [0.0303690492767119765536576158681 +/- 1.39e-32]\nPASS: B_0(13) > 0 (rigorous ball arithmetic), hence Cl(K)[2] = 0 by Theorem B; h_K is odd\n" }, { "path": "anc/code/1.3.7/expected/s05c_check_witnesses_gp2154.out", "size_bytes": 354, "sha256": "e6d701640160d693c5d61be9dd704429c65b93ac46c6b061decdfbec1e049beb", "mode": 420, "encoding": "utf-8", "text": "PARI [2, 15, 4]; nf.zk == data/zk.txt: 0; d_K = [2, 42; 11, 6; 41269, 6]; signature [4, 12]\nwitnesses read: 37155\nALL 37155 prime ideals of norm <= 442413 matched one-to-one to exact generators (37155 checked, 165 s)\nB_0(13) (floating point, cross-check of the ball-arithmetic value) = 0.030369049276711976553657615868113781419 [37333 pairs (P, m)]\n" }, { "path": "anc/code/1.3.7/expected/s06_local2.out", "size_bytes": 1460, "sha256": "e0cdb717f245d4bc73b1f4cb63d74861fa01bdccb810f05e005b2d7cb17a50e0", "mode": 420, "encoding": "utf-8", "text": "PASS: P|2 with (e,f)=(4,1): (O/P^9)^x / squares has dimension 1 + ef = 5\nPASS: P|2 with (e,f)=(2,3): (O/P^5)^x / squares has dimension 1 + ef = 7\nPASS: P|2 with (e,f)=(2,3): (O/P^5)^x / squares has dimension 1 + ef = 7\nPASS: P|2 with (e,f)=(4,3): (O/P^9)^x / squares has dimension 1 + ef = 13\nPASS: dim (K (x) Q_2)^x / squares = 36\nPASS: Q_2^x/Q_2^x2 = <-1,2,5> injects into (K (x) Q_2)^x/squares (dimension 3)\n 82 points of C(Q_2) with x0 in [-40,40] examined\n point (x0, y0 mod 2^84) = (-40, 591131412711573423326720) adds a new class\n point (x0, y0 mod 2^80) = (-38, 864734735839869549293544) adds a new class\n point (x0, y0 mod 2^81) = (-38, 273263295199333829574543) adds a new class\n point (x0, y0 mod 2^80) = (-36, 648823393722996630116800) adds a new class\nPASS: the classes l(Q) a of these points span a space W_2 of dimension 4 modulo Q_2^x\n dim J(Q_2)/2J(Q_2) = dim J(Q_2)[2] + g = dim J(Q_2)[2] + 3 <= 4 (orbits 4,6,6,12; s03)\n => W_2 is exactly the image of J(Q_2)/2J(Q_2)\nPASS: paper point (-20, 862886388452323520 mod 2^60): a 2-adic point, precision 2^61 suffices\nPASS: paper point (-18, 254298521528481144 mod 2^60): a 2-adic point, precision 2^60 suffices\nPASS: paper point (-18, 1150515458963686427 mod 2^60): a 2-adic point, precision 2^61 suffices\nPASS: paper point (-16, 1131811843442995200 mod 2^60): a 2-adic point, precision 2^60 suffices\nPASS: the paper's four points span the same W_2 (dimension 4 mod Q_2^x)\ns06 done\n" }, { "path": "anc/code/1.3.7/expected/s08_selmer.out", "size_bytes": 1680, "sha256": "6d590da310c92b387795cc1d654664d016183404c5a8aca4963b8ad432ec0367", "mode": 420, "encoding": "utf-8", "text": "PASS: the 29 recorded characters separate K(2,S) (29 x 29 matrix of full rank)\nPASS: W_2 + loc_2(Q_2^x) has dimension 7 in F_2^36\nPASS: codimension of W_2 + Q_2 is 29\nPASS: g has 4 real roots (r1 = 4)\nPASS: Sturm: g has exactly 4 real roots (sympy count_roots, exact)\nPASS: the 4 isolating intervals [lo_i, hi_i] (rational endpoints, width 2e-100) are pairwise disjoint\nPASS: exact count (PARI polsturm, rational endpoints): exactly one real root of g in each interval\nPASS: exact count (Sturm sequence, sympy): exactly one real root of g in each interval\nPASS: ball arithmetic: each real root is contained in an arb ball of radius < 1e-99\nPASS: signs of the 29 basis elements at the 4 real places decided rigorously (no ball contains 0)\n dim of {kappa in K(2,S) satisfying all conditions} = 5\nPASS: Q(2,S) = <-1,2,11,41269> has dimension 4 in K(2,S)\nPASS: Q(2,S) satisfies all conditions\nPASS: dim Sel_fake = dim V - dim Q(2,S) = 1\nPASS: [a] = delta(G) satisfies all conditions\nPASS: [a] is not in Q(2,S): delta(G) != 0, and Sel_fake = <[a]>\n => rank J(Q) <= 1; G = [P3 - P1] has infinite order (J(Q) torsion-free, G != 0), so rank J(Q) = 1\nPASS: (1 - n) a is a square, so delta([P4 - P1]) = [-(1-n) a] = 0, consistent with [P4-P1] = -4G\n without condition norm : dim Sel would be 1\n without condition p=11 (e mod 2 = [1, 1, 1, 1, 0]): dim Sel would be 2\n without condition p=41269 (e mod 2 = [0, 0, 1, 1]): dim Sel would be 1\n without condition p=2 : dim Sel would be 14\n without condition real : dim Sel would be 1\n with the conditions p=2 and p=11 only : dim Sel would be 1\ns08 done\n" }, { "path": "anc/code/1.3.7/expected/s09_chabauty3.out", "size_bytes": 4050, "sha256": "fa91f5b56aca0437127b4036b8522620c43dd641d4e553089f7e1b351b8c8942", "mode": 420, "encoding": "utf-8", "text": "PASS: P1: coordinates and Omega have integral expansions (the relevant partial derivative is 1 or -1 there)\nPASS: P2: coordinates and Omega have integral expansions (the relevant partial derivative is 1 or -1 there)\nPASS: P3: coordinates and Omega have integral expansions (the relevant partial derivative is 1 or -1 there)\nPASS: P4: coordinates and Omega have integral expansions (the relevant partial derivative is 1 or -1 there)\nC(F_3) = [(0, 0, 1), (0, 1, 0), (0, 1, 1), (1, 0, 0)]\nPASS: degree-12 forms with [('P1', 44), ('P3', 1)]: a 1-dimensional space modulo F (so h^0 = 1)\nPASS: the remaining intersection is cut out by an irreducible cubic in x\nPASS: y is a rational function of x on the three points\nPASS: F(x, V(x), 1) = 0 mod cubic\nE for 31G: x-cubic 80621568*x^3 + 19551871*x^2 - 576258756*x + 551007360 ; y = 27648/10517*x^2 + 154341055/30667572*x - 31989800/2555631\nPASS: the cubic has 3 roots in Q_3 (the points of E are Q_3-rational)\n E point: x = 23246702076130681770..., reduces to (1, 0, 0), disc P1, v(t) = 3\n E point: x = 65755655390737925391..., reduces to (0, 0, 1), disc P3, v(t) = 1\n E point: x = 10090797063789227144..., reduces to (0, 1, 0), disc P2, v(t) = 5\nPASS: E reduces to P1 + P2 + P3 (one point in each of these discs)\n L_x = log(31G) . omega = 642322739790 (mod 3^25), valuation 2\n L_y = log(31G) . omega = 657631671201 (mod 3^25), valuation 4\n L_z = log(31G) . omega = 233976154908 (mod 3^25), valuation 1\nPASS: log(31G) != 0 (so G has infinite order, again)\nPASS: degree-22 forms with [('P1', 85)]: a 1-dimensional space modulo F (so h^0 = 1)\nPASS: the remaining intersection is cut out by an irreducible cubic in x\nPASS: y is a rational function of x on the three points\nPASS: F(x, V(x), 1) = 0 mod cubic\nPASS: E' for 62G also reduces to P1 + P2 + P3\nPASS: log(62G) = 2 log(31G) to the working precision (independent Riemann-Roch + integration check)\n valuations of (L_x, L_y, L_z): [2, 4, 1] ; known mod 3^55\nPASS: eta1 annihilates log(31G) (valuation of the integral >= 53)\nPASS: eta2 annihilates log(31G) (valuation of the integral >= 53)\n disc P1: Strassmann bounds [('eta1', 1), ('eta2', 2), ('eta1+1*eta2', 1), ('eta1+2*eta2', 1), ('eta2+3*eta1', 2), ('eta2+6*eta1', 2)]\n first valuations: [('eta1', [2, 1000000, 1000000, 6, 1000000, 6, 1000000, 10]), ('eta2', [1000000, 3, 1000000, 8, 1000000, 1000000, 8, 1000000])]\n disc P2: Strassmann bounds [('eta1', 3), ('eta2', 1), ('eta1+1*eta2', 1), ('eta1+2*eta2', 1), ('eta2+3*eta1', 1), ('eta2+6*eta1', 1)]\n first valuations: [('eta1', [1000000, 4, 3, 5, 1000000, 1000000, 10, 9]), ('eta2', [2, 6, 1000000, 1000000, 1000000, 7, 9, 10])]\n disc P3: Strassmann bounds [('eta1', 2), ('eta2', 4), ('eta1+1*eta2', 2), ('eta1+2*eta2', 2), ('eta2+3*eta1', 2), ('eta2+6*eta1', 2)]\n first valuations: [('eta1', [3, 3, 1000000, 6, 6, 1000000, 10, 10]), ('eta2', [5, 1000000, 1000000, 5, 1000000, 1000000, 9, 13])]\n disc P4: Strassmann bounds [('eta1', 3), ('eta2', 1), ('eta1+1*eta2', 1), ('eta1+2*eta2', 1), ('eta2+3*eta1', 1), ('eta2+6*eta1', 1)]\n first valuations: [('eta1', [3, 3, 3, 7, 6, 6, 9, 9]), ('eta2', [2, 3, 4, 5, 6, 7, 8, 12])]\nPASS: disc of P1: eta1 has Strassmann bound 1, so P1 is the only rational point there\nPASS: disc of P2: eta2 has Strassmann bound 1, so P2 is the only rational point there\nPASS: disc of P4: eta2 has Strassmann bound 1, so P4 is the only rational point there\nPASS: disc of P3: eta1 has Strassmann bound 2 (zeros: s = 0 and at most one more)\nPASS: Hensel: J1(s0) has valuation 43 > 2 v(J1'(s0)) = 6, so U* = s0 + O(3^40) is a zero of eta1\n U* = 589926054506 (mod 3^25), t = 3U*; int eta2 at U* = 168750803736 (mod 3^25)\nPASS: int_{P3}^{U*} eta2 has valuation 6 < precision 40: U* is not a common zero\nPASS: U* is not s = 0 (it is a 3-adic point different from P3)\n => the disc of P3 contains no rational point other than P3\nPASS: C(F_3) = {P1, P2, P3, P4}: every residue disc is covered\nCONCLUSION: C(Q) = {P1, P2, P3, P4}\ns09 done (p = 3)\n" }, { "path": "anc/code/1.3.8/chabauty/expected/chabauty3.out", "size_bytes": 4767, "sha256": "86e922fbd933cd323c5ff844f409a3a7a6201cc9fc87ecead8e4fd0199d43ba0", "mode": 420, "encoding": "utf-8", "text": "w_z = [0, 0, 0, 0, 1, 0, 0, 0] ... w_x = [0, 1, 0, 0, 0, 0, 2, 0] ... w_y = [1, 0, 0, 0, 0, 2, 0, 0] ...\ny(s) at P1, s = x+1: [0, -3, 3, 26, -54, -675, 2160, 22851] ...\nm=1: dim V = 3 (expected 3); f has pole order 13 at oo, ord_P1 f = 9; f mod 3 has pole order 9\n E has degree 4: [E - 4 oo] = -9 G1\n Res_Z(h, f~) factors (degree, multiplicity, Newton slopes at 3): [('X', 3), (4, 1, ['3/4', '3/4', '3/4', '3/4'])]\n Res_X(h, f~) factors (degree, multiplicity, Newton slopes at 3): [('Z', 3), (4, 1, ['3', '3', '3', '3'])]\n f = 49412858216*x^0*y^0 + 191259723096*x^1*y^0 + 291125394027*x^2*y^0 + 206187126854*x^3*y^0 + 56908597707*x^4*y^0 + 37163261480*x^0*y^1 + 102426117246*x^1*y^1 + 100459295010*x^2*y^1 + 35217797652*x^3*y^1 + 836804043*x^0*y^2 + 36*x^1*y^2\n E(X) = 268895426627707157987116133388416*X^4 + 320337638116517237204091843045891*X^3 + 219672860573908519668631358279748*X^2 + 157894577001790646570719666475904*X + 85988850899990436755428562963712\n Newton slopes of E at 3: ['3/4', '3/4', '3/4', '3/4'] truncation error valuation >= 115.4\n log(-9G1): valuations (z,x,y) = (5,2,6); primitive vector / x-coordinate mod 3^6 = (432, 1, 81)\nm=2: dim V = 3 (expected 3); f has pole order 22 at oo, ord_P1 f = 18; f mod 3 has pole order 18\n E has degree 4: [E - 4 oo] = -18 G1\n Res_Z(h, f~) factors (degree, multiplicity, Newton slopes at 3): [('X', 6), (4, 1, ['3/4', '3/4', '3/4', '3/4'])]\n Res_X(h, f~) factors (degree, multiplicity, Newton slopes at 3): [('Z', 6), (4, 1, ['3', '3', '3', '3'])]\n f = 371257366177755056435114589399263319918456863031421*x^0*y^0 + 2064633224833677512766425666290765875130849190241669*x^1*y^0 + 4794058052486886074885748754301604785507614342637550*x^2*y^0 + 6904990827797641687369676014599200311357767982152170*x^3*y^0 + 7617493386892976182784734545073106797849337177755587*x^4*y^0 + 6182822883508963766636686041364765776404639886194505*x^5*y^0 + 2954382477439115228804698428878152351020772333708966*x^6*y^0 + 584744346856449576137508595397395291402923658545180*x^7*y^0 + 820065914075242223059705507308169290339571671393209*x^0*y^1 + 3679735353466688648585069860830373973599569006165183*x^1*y^1 + 6513007210703141074838160104988711712102441759557354*x^2*y^1 + 6213636035557534387944231863075056086982227453365261*x^3*y^1 + 3892450849603207686902175840794891082011289543074943*x^4*y^1 + 1714800110235249401887808353577432083353299637975213*x^5*y^1 + 383496203739948182711341231900894013651995383125391*x^6*y^1 + 484628033313655304375611170585265882123453138693951*x^0*y^2 + 1482618792158991284228093572259785127398455207438897*x^1*y^2 + 1492672027732516679394861815826896104412941424190900*x^2*y^2 + 494783720262675974950454142986858018181553006332666*x^3*y^2 + 9*x^4*y^2\n E(X) = 79380608607338017725386919390595338415554818509442590825946702390711850486019790385606681212134543831618086454827537179994110795427434649317865041829217*X^4 + 94111451762776774418027763434021480301064281906446128050653000388071221785294265100030936163517000986513615927876897869647891773736838632513281973067340*X^3 + 44999214751811682272032917770796411230300461207367881485803534220198730202690915629546001814177333847401948954629916921166990717959722253770378770089615*X^2 + 77448328376883246868901135348882265416021106930030470797451623899182485143462432471740885252985207280179869674476214941719456073521878386311840297538930*X + 52858061003230241182838949226414592414700730201738356886631580705239206076582539583735207796439674486061423295533367198743650705508452053643486820308231\n Newton slopes of E at 3: ['3/4', '3/4', '3/4', '3/4'] truncation error valuation >= 115.4\n log(-18G1): valuations (z,x,y) = (5,2,6); primitive vector / x-coordinate mod 3^6 = (432, 1, 81)\ncheck: log(-18 G1) = 2 log(-9 G1) to precision 3^114\ndirection of log G1 mod 3 in the basis (w_z, w_x, w_y): (0, 1, 0)\ndisc of oo: (z,x,y)(R) = (0, 0, 1) mod 3; annihilating w = 0 w_z + (3*) w_x + 1 w_y has w(R) = 1 != 0 mod 3\ndisc of P0: (z,x,y)(R) = (1, 0, 0) mod 3; annihilating w = 1 w_z + (3*) w_x + 0 w_y has w(R) = 1 != 0 mod 3\ndisc of P1: (z,x,y)(R) = (1, 2, 0) mod 3; annihilating w = 1 w_z + (3*) w_x + 0 w_y has w(R) = 1 != 0 mod 3\n oo: annihilating w = ((0, 50949, 1)) . (w_z,w_x,w_y) mod 3^10 = (a0 + a1 t + ...) dt with a0 = 1 (unit: True); first coefficients [1, 50949, 0, 0, 0, 2]\n P0: annihilating w = ((1, 41850, 0)) . (w_z,w_x,w_y) mod 3^10 = (a0 + a1 t + ...) dt with a0 = 59048 (unit: True); first coefficients [59048, 1, 59048, 17200, 24650, 51598]\n P1: annihilating w = ((1, 41850, 0)) . (w_z,w_x,w_y) mod 3^10 = (a0 + a1 t + ...) dt with a0 = 41849 (unit: True); first coefficients [41849, 59048, 51056, 8018, 19700, 47159]\nStrassmann: each residue disc contains exactly one rational point; C(Q) = {oo, P0, P1}\n" }, { "path": "anc/code/1.3.8/classgroup/classgroup_params.json", "size_bytes": 394, "sha256": "658a4e1a9f2099c5ca5942c22c3a1ef2f3bee19f920c343640533afd19dfa83e", "mode": 420, "encoding": "utf-8", "text": "{\"support\": 500000000, \"principal_bound\": 1000000, \"window_heights\": [307, 385, 444, 494, 541, 584, 626, 667, 704, 738, 769, 799, 827, 853, 876, 898, 917, 935, 949, 962, 971, 977, 982, 986, 990, 993, 995, 997, 998, 999, 1000, 1000, 1000, 1000, 999, 998, 997, 995, 993, 990, 986, 982, 977, 971, 962, 949, 935, 917, 898, 876, 853, 827, 799, 769, 738, 704, 667, 626, 584, 541, 494, 444, 385, 307]}" }, { "path": "anc/code/1.3.8/classgroup/data/small_25000.json", "size_bytes": 80913, "sha256": "890c20ab7a4c497e4e96db602e1c7d0f146b3f72f50ed4acec2f3d4bca8ebc4d", "mode": 420, "encoding": "utf-8", "text": "{\"2\": [1, 1, 1, 2], \"3\": [2, 5, 5, 5, 10], \"5\": [2, 5, 5, 5, 10], \"7\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"11\": [1, 5, 5, 5, 5], \"13\": [1, 1, 5, 5, 5, 5, 5], \"17\": [3, 6, 6, 6, 6], \"19\": [9, 9, 9], \"23\": [3, 12, 12], \"29\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"31\": [2, 5, 5, 5, 10], \"37\": [1, 4, 4, 6, 12], \"41\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"43\": [2, 5, 5, 5, 10], \"47\": [1, 1, 5, 5, 5, 5, 5], \"53\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"59\": [9, 9, 9], \"61\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"67\": [1, 4, 4, 6, 12], \"71\": [3, 6, 6, 6, 6], \"73\": [3, 12, 12], \"79\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"83\": [9, 9, 9], \"89\": [3, 12, 12], \"97\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"101\": [1, 1, 5, 5, 5, 5, 5], \"103\": [3, 12, 12], \"107\": [3, 12, 12], \"109\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"113\": [1, 2, 8, 8, 8], \"127\": [3, 6, 6, 6, 6], \"131\": [1, 1, 5, 5, 5, 5, 5], \"137\": [1, 1, 5, 5, 5, 5, 5], \"139\": [1, 2, 8, 8, 8], \"149\": [2, 5, 5, 5, 10], \"151\": [3, 12, 12], \"157\": [3, 6, 6, 6, 6], \"163\": [3, 6, 6, 6, 6], \"167\": [9, 9, 9], \"173\": [2, 5, 5, 5, 10], \"179\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"181\": [3, 3, 3, 3, 3, 6, 6], \"191\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"193\": [1, 1, 5, 5, 5, 5, 5], \"197\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"199\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"211\": [1, 4, 4, 6, 12], \"223\": [9, 9, 9], \"227\": [3, 3, 3, 3, 3, 6, 6], \"229\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"233\": [9, 9, 9], \"239\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"241\": [9, 9, 9], \"251\": [9, 9, 9], \"257\": [3, 12, 12], \"263\": [3, 6, 6, 6, 6], \"269\": [3, 6, 6, 6, 6], \"271\": [2, 5, 5, 5, 10], \"277\": [3, 6, 6, 6, 6], \"281\": [3, 6, 6, 6, 6], \"283\": [9, 9, 9], \"293\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"307\": [1, 4, 4, 6, 12], \"311\": [3, 12, 12], \"313\": [1, 2, 8, 8, 8], \"317\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"331\": [3, 6, 6, 6, 6], \"337\": [2, 5, 5, 5, 10], \"347\": [3, 6, 6, 6, 6], \"349\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"353\": [1, 4, 4, 6, 12], \"359\": [3, 6, 6, 6, 6], \"367\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"373\": [3, 6, 6, 6, 6], \"379\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"383\": [1, 2, 8, 8, 8], \"389\": [2, 5, 5, 5, 10], \"397\": [1, 4, 4, 6, 12], \"401\": [3, 6, 6, 6, 6], \"409\": [1, 4, 4, 6, 12], \"419\": [3, 6, 6, 6, 6], \"421\": [1, 4, 4, 6, 12], \"431\": [3, 12, 12], \"433\": [9, 9, 9], \"439\": [1, 2, 8, 8, 8], \"443\": [2, 5, 5, 5, 10], \"449\": [1, 4, 4, 6, 12], \"457\": [1, 2, 8, 8, 8], \"461\": [1, 1, 5, 5, 5, 5, 5], \"463\": [3, 6, 6, 6, 6], \"467\": [1, 2, 8, 8, 8], \"479\": [3, 6, 6, 6, 6], \"487\": [3, 12, 12], \"491\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"499\": [1, 2, 8, 8, 8], \"503\": [1, 1, 5, 5, 5, 5, 5], \"509\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"521\": [3, 6, 6, 6, 6], \"523\": [2, 5, 5, 5, 10], \"541\": [1, 2, 8, 8, 8], \"547\": [1, 4, 4, 6, 12], \"557\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"563\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"569\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"571\": [3, 6, 6, 6, 6], \"577\": [1, 1, 5, 5, 5, 5, 5], \"587\": [1, 2, 8, 8, 8], \"593\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"599\": [9, 9, 9], \"601\": [3, 3, 3, 3, 3, 6, 6], \"607\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"613\": [3, 12, 12], \"617\": [3, 12, 12], \"619\": [2, 5, 5, 5, 10], \"631\": [1, 4, 4, 6, 12], \"641\": [2, 5, 5, 5, 10], \"643\": [3, 12, 12], \"647\": [3, 3, 3, 3, 3, 6, 6], \"653\": [9, 9, 9], \"659\": [1, 2, 8, 8, 8], \"661\": [9, 9, 9], \"673\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"677\": [9, 9, 9], \"683\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"691\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"701\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"709\": [2, 5, 5, 5, 10], \"719\": [2, 5, 5, 5, 10], \"727\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"733\": [3, 12, 12], \"739\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"743\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"751\": [1, 2, 8, 8, 8], \"757\": [1, 4, 4, 6, 12], \"761\": [3, 6, 6, 6, 6], \"769\": [2, 5, 5, 5, 10], \"773\": [1, 4, 4, 6, 12], \"787\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"797\": [2, 5, 5, 5, 10], \"809\": [1, 1, 5, 5, 5, 5, 5], \"811\": [9, 9, 9], \"821\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"823\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"827\": [2, 5, 5, 5, 10], \"829\": [2, 5, 5, 5, 10], \"839\": [3, 6, 6, 6, 6], \"853\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"857\": [9, 9, 9], \"859\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"863\": [3, 12, 12], \"877\": [1, 2, 8, 8, 8], \"881\": [1, 1, 5, 5, 5, 5, 5], \"883\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"887\": [1, 1, 5, 5, 5, 5, 5], \"907\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"911\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"919\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"929\": [1, 4, 4, 6, 12], \"937\": [9, 9, 9], \"941\": [1, 4, 4, 6, 12], \"947\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"953\": [3, 6, 6, 6, 6], \"967\": [1, 1, 5, 5, 5, 5, 5], \"971\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"977\": [3, 6, 6, 6, 6], \"983\": [1, 2, 8, 8, 8], \"991\": [1, 2, 8, 8, 8], \"997\": [1, 2, 8, 8, 8], \"1009\": [1, 1, 5, 5, 5, 5, 5], \"1013\": [1, 1, 5, 5, 5, 5, 5], \"1019\": [1, 4, 4, 6, 12], \"1021\": [3, 12, 12], \"1031\": [3, 12, 12], \"1033\": [1, 2, 8, 8, 8], \"1039\": [3, 6, 6, 6, 6], \"1049\": [9, 9, 9], \"1051\": [3, 6, 6, 6, 6], \"1061\": [1, 1, 5, 5, 5, 5, 5], \"1063\": [9, 9, 9], \"1069\": [9, 9, 9], \"1087\": [3, 6, 6, 6, 6], \"1091\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"1093\": [1, 2, 8, 8, 8], \"1097\": [9, 9, 9], \"1103\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"1109\": [3, 6, 6, 6, 6], \"1117\": [1, 4, 4, 6, 12], \"1123\": [1, 4, 4, 6, 12], \"1129\": [2, 5, 5, 5, 10], \"1151\": [1, 1, 5, 5, 5, 5, 5], \"1153\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"1163\": [1, 2, 8, 8, 8], \"1171\": [9, 9, 9], \"1181\": [2, 5, 5, 5, 10], \"1187\": [1, 1, 5, 5, 5, 5, 5], \"1193\": [1, 2, 8, 8, 8], \"1201\": [3, 12, 12], \"1213\": [2, 5, 5, 5, 10], \"1217\": [9, 9, 9], \"1223\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"1229\": [3, 12, 12], \"1231\": [3, 6, 6, 6, 6], \"1237\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"1249\": [2, 5, 5, 5, 10], \"1259\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"1277\": [3, 12, 12], \"1279\": [2, 5, 5, 5, 10], \"1283\": [3, 12, 12], \"1289\": [1, 1, 5, 5, 5, 5, 5], \"1291\": [9, 9, 9], \"1297\": [1, 2, 8, 8, 8], \"1301\": [3, 6, 6, 6, 6], \"1303\": [3, 6, 6, 6, 6], \"1307\": [3, 12, 12], \"1319\": [3, 3, 3, 3, 3, 6, 6], \"1321\": [3, 6, 6, 6, 6], \"1327\": [3, 6, 6, 6, 6], \"1361\": [3, 6, 6, 6, 6], \"1367\": [1, 2, 8, 8, 8], \"1373\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"1381\": [2, 5, 5, 5, 10], \"1399\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"1409\": [3, 3, 3, 3, 3, 6, 6], \"1423\": [2, 5, 5, 5, 10], \"1427\": [3, 12, 12], \"1429\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"1433\": [2, 5, 5, 5, 10], \"1439\": [2, 5, 5, 5, 10], \"1447\": [1, 2, 8, 8, 8], \"1451\": [2, 5, 5, 5, 10], \"1453\": [1, 2, 8, 8, 8], \"1459\": [1, 4, 4, 6, 12], \"1471\": [1, 2, 8, 8, 8], \"1481\": [3, 6, 6, 6, 6], \"1483\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"1487\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"1489\": [2, 5, 5, 5, 10], \"1493\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"1499\": [1, 4, 4, 6, 12], \"1511\": [1, 1, 5, 5, 5, 5, 5], \"1523\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"1531\": [2, 5, 5, 5, 10], \"1543\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"1549\": [1, 2, 8, 8, 8], \"1553\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"1559\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"1567\": [3, 12, 12], \"1571\": [3, 6, 6, 6, 6], \"1579\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"1583\": [1, 2, 8, 8, 8], \"1597\": [2, 5, 5, 5, 10], \"1601\": [9, 9, 9], \"1607\": [1, 2, 8, 8, 8], \"1609\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"1613\": [1, 1, 5, 5, 5, 5, 5], \"1619\": [1, 4, 4, 6, 12], \"1621\": [3, 6, 6, 6, 6], \"1627\": [1, 2, 8, 8, 8], \"1637\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"1657\": [1, 4, 4, 6, 12], \"1663\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"1667\": [9, 9, 9], \"1669\": [1, 2, 8, 8, 8], \"1693\": [1, 4, 4, 6, 12], \"1697\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"1699\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"1709\": [1, 1, 5, 5, 5, 5, 5], \"1721\": [2, 5, 5, 5, 10], \"1723\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"1733\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"1741\": [1, 4, 4, 6, 12], \"1747\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"1753\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3], \"1759\": [9, 9, 9], \"1777\": [2, 5, 5, 5, 10], \"1783\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"1787\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"1789\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"1801\": [3, 6, 6, 6, 6], \"1811\": [9, 9, 9], \"1823\": [3, 12, 12], \"1831\": [1, 1, 5, 5, 5, 5, 5], \"1847\": [9, 9, 9], \"1861\": [3, 6, 6, 6, 6], \"1867\": [1, 4, 4, 6, 12], \"1871\": [1, 1, 5, 5, 5, 5, 5], \"1873\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"1877\": [9, 9, 9], \"1879\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"1889\": [1, 2, 8, 8, 8], \"1901\": [3, 6, 6, 6, 6], \"1907\": [9, 9, 9], \"1913\": [1, 4, 4, 6, 12], \"1931\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"1933\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"1949\": [1, 4, 4, 6, 12], \"1951\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"1973\": [1, 1, 5, 5, 5, 5, 5], \"1979\": [3, 6, 6, 6, 6], \"1987\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"1993\": [2, 5, 5, 5, 10], \"1997\": [3, 6, 6, 6, 6], \"1999\": [3, 6, 6, 6, 6], \"2003\": [1, 2, 8, 8, 8], \"2011\": [1, 2, 8, 8, 8], \"2017\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"2027\": [3, 12, 12], \"2029\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"2039\": [1, 2, 8, 8, 8], \"2053\": [1, 4, 4, 6, 12], \"2063\": [1, 2, 8, 8, 8], \"2069\": [1, 2, 8, 8, 8], \"2081\": [3, 3, 3, 3, 3, 6, 6], \"2083\": [2, 5, 5, 5, 10], \"2087\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"2089\": [9, 9, 9], \"2099\": [1, 1, 5, 5, 5, 5, 5], \"2111\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"2113\": [9, 9, 9], \"2129\": [1, 4, 4, 6, 12], \"2131\": [3, 3, 3, 3, 3, 6, 6], \"2137\": [3, 12, 12], \"2141\": [2, 5, 5, 5, 10], \"2143\": [2, 5, 5, 5, 10], \"2153\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"2161\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"2179\": [9, 9, 9], \"2203\": [1, 1, 5, 5, 5, 5, 5], \"2207\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"2213\": [1, 4, 4, 6, 12], \"2221\": [9, 9, 9], \"2237\": [3, 6, 6, 6, 6], \"2239\": [1, 1, 5, 5, 5, 5, 5], \"2243\": [2, 5, 5, 5, 10], \"2251\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"2267\": [1, 4, 4, 6, 12], \"2269\": [1, 4, 4, 6, 12], \"2273\": [2, 5, 5, 5, 10], \"2281\": [1, 1, 5, 5, 5, 5, 5], \"2287\": [1, 2, 8, 8, 8], \"2293\": [1, 2, 8, 8, 8], \"2297\": [2, 5, 5, 5, 10], \"2309\": [1, 4, 4, 6, 12], \"2311\": [1, 2, 8, 8, 8], \"2333\": [3, 6, 6, 6, 6], \"2339\": [1, 2, 8, 8, 8], \"2341\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"2347\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"2351\": [1, 1, 5, 5, 5, 5, 5], \"2357\": [1, 2, 8, 8, 8], \"2371\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"2377\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"2381\": [3, 12, 12], \"2383\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"2389\": [1, 4, 4, 6, 12], \"2393\": [1, 2, 8, 8, 8], \"2399\": [3, 12, 12], \"2411\": [1, 1, 5, 5, 5, 5, 5], \"2417\": [3, 6, 6, 6, 6], \"2423\": [9, 9, 9], \"2437\": [1, 1, 5, 5, 5, 5, 5], \"2441\": [3, 6, 6, 6, 6], \"2447\": [1, 2, 8, 8, 8], \"2459\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"2467\": [1, 4, 4, 6, 12], \"2473\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"2477\": [2, 5, 5, 5, 10], \"2503\": [3, 3, 3, 3, 3, 6, 6], \"2521\": [3, 6, 6, 6, 6], \"2531\": [2, 5, 5, 5, 10], \"2539\": [3, 12, 12], \"2543\": [2, 5, 5, 5, 10], \"2549\": [1, 2, 8, 8, 8], \"2551\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"2557\": [9, 9, 9], \"2579\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"2591\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"2593\": [3, 12, 12], \"2609\": [1, 2, 8, 8, 8], \"2617\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"2621\": [2, 5, 5, 5, 10], \"2633\": [3, 6, 6, 6, 6], \"2647\": [3, 6, 6, 6, 6], \"2657\": [1, 1, 5, 5, 5, 5, 5], \"2659\": [1, 4, 4, 6, 12], \"2663\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"2671\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"2677\": [1, 1, 5, 5, 5, 5, 5], \"2683\": [1, 2, 8, 8, 8], \"2687\": [2, 5, 5, 5, 10], \"2689\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"2693\": [3, 6, 6, 6, 6], \"2699\": [1, 1, 5, 5, 5, 5, 5], \"2707\": [3, 6, 6, 6, 6], \"2711\": [3, 12, 12], \"2713\": [3, 6, 6, 6, 6], \"2719\": [3, 6, 6, 6, 6], \"2729\": [3, 6, 6, 6, 6], \"2731\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"2741\": [3, 6, 6, 6, 6], \"2749\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"2753\": [1, 2, 8, 8, 8], \"2767\": [9, 9, 9], \"2777\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"2789\": [1, 1, 5, 5, 5, 5, 5], \"2791\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"2797\": [9, 9, 9], \"2801\": [3, 12, 12], \"2803\": [2, 5, 5, 5, 10], \"2819\": [3, 6, 6, 6, 6], \"2833\": [2, 5, 5, 5, 10], \"2837\": [9, 9, 9], \"2843\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"2851\": [3, 6, 6, 6, 6], \"2857\": [1, 2, 8, 8, 8], \"2861\": [9, 9, 9], \"2879\": [9, 9, 9], \"2887\": [1, 1, 5, 5, 5, 5, 5], \"2897\": [3, 12, 12], \"2903\": [1, 1, 5, 5, 5, 5, 5], \"2909\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"2917\": [1, 4, 4, 6, 12], \"2927\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"2939\": [9, 9, 9], \"2953\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"2957\": [3, 6, 6, 6, 6], \"2963\": [1, 1, 5, 5, 5, 5, 5], \"2969\": [1, 4, 4, 6, 12], \"2971\": [3, 6, 6, 6, 6], \"2999\": [1, 1, 5, 5, 5, 5, 5], \"3001\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"3011\": [1, 2, 8, 8, 8], \"3019\": [2, 5, 5, 5, 10], \"3023\": [1, 4, 4, 6, 12], \"3037\": [3, 12, 12], \"3041\": [3, 6, 6, 6, 6], \"3049\": [1, 2, 8, 8, 8], \"3061\": [3, 12, 12], \"3067\": [1, 1, 5, 5, 5, 5, 5], \"3079\": [9, 9, 9], \"3083\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"3089\": [1, 1, 5, 5, 5, 5, 5], \"3109\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"3119\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"3121\": [3, 6, 6, 6, 6], \"3137\": [1, 4, 4, 6, 12], \"3163\": [1, 2, 8, 8, 8], \"3167\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"3169\": [3, 6, 6, 6, 6], \"3181\": [2, 5, 5, 5, 10], \"3187\": [3, 3, 3, 3, 3, 6, 6], \"3191\": [9, 9, 9], \"3203\": [2, 5, 5, 5, 10], \"3209\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"3217\": [3, 6, 6, 6, 6], \"3221\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"3229\": [1, 2, 8, 8, 8], \"3251\": [1, 1, 5, 5, 5, 5, 5], \"3253\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"3257\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"3259\": [9, 9, 9], \"3271\": [9, 9, 9], \"3299\": [1, 4, 4, 6, 12], \"3301\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"3307\": [2, 5, 5, 5, 10], \"3313\": [3, 6, 6, 6, 6], \"3319\": [9, 9, 9], \"3323\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"3329\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"3331\": [9, 9, 9], \"3343\": [2, 5, 5, 5, 10], \"3347\": [3, 6, 6, 6, 6], \"3359\": [3, 6, 6, 6, 6], \"3361\": [1, 2, 8, 8, 8], \"3371\": [1, 1, 5, 5, 5, 5, 5], \"3373\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"3389\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"3391\": [2, 5, 5, 5, 10], \"3407\": [1, 2, 8, 8, 8], \"3413\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"3433\": [1, 2, 8, 8, 8], \"3449\": [3, 12, 12], \"3457\": [1, 1, 5, 5, 5, 5, 5], \"3461\": [1, 2, 8, 8, 8], \"3463\": [3, 6, 6, 6, 6], \"3467\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"3469\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"3491\": [9, 9, 9], \"3499\": [1, 2, 8, 8, 8], \"3511\": [1, 4, 4, 6, 12], \"3517\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"3527\": [1, 2, 8, 8, 8], \"3529\": [3, 6, 6, 6, 6], \"3533\": [3, 6, 6, 6, 6], \"3539\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"3541\": [3, 3, 3, 3, 3, 6, 6], \"3547\": [3, 12, 12], \"3557\": [2, 5, 5, 5, 10], \"3559\": [1, 4, 4, 6, 12], \"3571\": [1, 4, 4, 6, 12], \"3581\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"3583\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"3593\": [2, 5, 5, 5, 10], \"3607\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"3613\": [2, 5, 5, 5, 10], \"3617\": [1, 4, 4, 6, 12], \"3623\": [1, 2, 8, 8, 8], \"3631\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"3637\": [3, 6, 6, 6, 6], \"3643\": [1, 2, 8, 8, 8], \"3659\": [1, 2, 8, 8, 8], \"3671\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"3673\": [3, 6, 6, 6, 6], \"3677\": [2, 5, 5, 5, 10], \"3691\": [3, 3, 3, 3, 3, 6, 6], \"3697\": [3, 6, 6, 6, 6], \"3701\": [3, 6, 6, 6, 6], \"3709\": [1, 1, 5, 5, 5, 5, 5], \"3719\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"3727\": [1, 2, 8, 8, 8], \"3733\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"3739\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3], \"3761\": [3, 12, 12], \"3767\": [1, 4, 4, 6, 12], \"3769\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"3779\": [1, 1, 5, 5, 5, 5, 5], \"3793\": [9, 9, 9], \"3797\": [1, 4, 4, 6, 12], \"3803\": [2, 5, 5, 5, 10], \"3821\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"3823\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"3833\": [3, 12, 12], \"3847\": [3, 6, 6, 6, 6], \"3851\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"3853\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"3863\": [3, 12, 12], \"3877\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"3881\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"3889\": [9, 9, 9], \"3907\": [2, 5, 5, 5, 10], \"3911\": [9, 9, 9], \"3917\": [1, 4, 4, 6, 12], \"3919\": [1, 4, 4, 6, 12], \"3923\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"3929\": [3, 12, 12], \"3931\": [9, 9, 9], \"3943\": [3, 6, 6, 6, 6], \"3947\": [2, 5, 5, 5, 10], \"3967\": [3, 6, 6, 6, 6], \"3989\": [1, 4, 4, 6, 12], \"4001\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"4003\": [3, 6, 6, 6, 6], \"4007\": [3, 6, 6, 6, 6], \"4013\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"4019\": [1, 2, 8, 8, 8], \"4021\": [2, 5, 5, 5, 10], \"4027\": [2, 5, 5, 5, 10], \"4049\": [2, 5, 5, 5, 10], \"4051\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"4057\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"4073\": [1, 1, 5, 5, 5, 5, 5], \"4079\": [1, 4, 4, 6, 12], \"4091\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"4093\": [1, 2, 8, 8, 8], \"4099\": [1, 1, 5, 5, 5, 5, 5], \"4111\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"4127\": [3, 6, 6, 6, 6], \"4129\": [2, 5, 5, 5, 10], \"4133\": [1, 2, 8, 8, 8], \"4139\": [1, 1, 5, 5, 5, 5, 5], \"4153\": [1, 1, 5, 5, 5, 5, 5], \"4157\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"4159\": [3, 6, 6, 6, 6], \"4177\": [9, 9, 9], \"4201\": [2, 5, 5, 5, 10], \"4211\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"4217\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"4219\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"4229\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"4231\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"4241\": [3, 6, 6, 6, 6], \"4243\": [9, 9, 9], \"4253\": [9, 9, 9], \"4259\": [3, 6, 6, 6, 6], \"4261\": [3, 12, 12], \"4271\": [3, 12, 12], \"4273\": [3, 6, 6, 6, 6], \"4283\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"4289\": [9, 9, 9], \"4297\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"4327\": [1, 4, 4, 6, 12], \"4337\": [1, 2, 8, 8, 8], \"4339\": [1, 4, 4, 6, 12], \"4349\": [2, 5, 5, 5, 10], \"4357\": [9, 9, 9], \"4363\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"4373\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"4391\": [9, 9, 9], \"4397\": [2, 5, 5, 5, 10], \"4409\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"4421\": [1, 2, 8, 8, 8], \"4423\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"4441\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"4447\": [9, 9, 9], \"4451\": [3, 6, 6, 6, 6], \"4457\": [3, 6, 6, 6, 6], \"4463\": [1, 2, 8, 8, 8], \"4481\": [1, 4, 4, 6, 12], \"4483\": [3, 6, 6, 6, 6], \"4493\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"4507\": [3, 6, 6, 6, 6], \"4513\": [3, 12, 12], \"4517\": [3, 6, 6, 6, 6], \"4519\": [1, 1, 5, 5, 5, 5, 5], \"4523\": [3, 6, 6, 6, 6], \"4547\": [3, 6, 6, 6, 6], \"4549\": [9, 9, 9], \"4561\": [9, 9, 9], \"4567\": [2, 5, 5, 5, 10], \"4583\": [2, 5, 5, 5, 10], \"4591\": [3, 12, 12], \"4597\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"4603\": [9, 9, 9], \"4621\": [1, 4, 4, 6, 12], \"4637\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"4639\": [1, 1, 5, 5, 5, 5, 5], \"4643\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"4649\": [3, 12, 12], \"4651\": [3, 6, 6, 6, 6], \"4657\": [1, 2, 8, 8, 8], \"4663\": [3, 12, 12], \"4673\": [9, 9, 9], \"4679\": [3, 6, 6, 6, 6], \"4691\": [3, 6, 6, 6, 6], \"4703\": [1, 1, 5, 5, 5, 5, 5], \"4721\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"4723\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"4729\": [1, 2, 8, 8, 8], \"4733\": [2, 5, 5, 5, 10], \"4751\": [1, 2, 8, 8, 8], \"4759\": [2, 5, 5, 5, 10], \"4783\": [1, 1, 5, 5, 5, 5, 5], \"4787\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"4789\": [1, 4, 4, 6, 12], \"4793\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"4799\": [9, 9, 9], \"4801\": [3, 6, 6, 6, 6], \"4813\": [1, 4, 4, 6, 12], \"4817\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"4831\": [1, 2, 8, 8, 8], \"4861\": [2, 5, 5, 5, 10], \"4871\": [1, 2, 8, 8, 8], \"4877\": [1, 2, 8, 8, 8], \"4889\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"4903\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"4909\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"4919\": [1, 1, 5, 5, 5, 5, 5], \"4931\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"4933\": [1, 4, 4, 6, 12], \"4937\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"4943\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"4951\": [2, 5, 5, 5, 10], \"4957\": [2, 5, 5, 5, 10], \"4967\": [2, 5, 5, 5, 10], \"4969\": [9, 9, 9], \"4973\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"4987\": [2, 5, 5, 5, 10], \"4993\": [3, 12, 12], \"4999\": [3, 12, 12], \"5003\": [3, 6, 6, 6, 6], \"5009\": [1, 2, 8, 8, 8], \"5011\": [9, 9, 9], \"5021\": [3, 12, 12], \"5023\": [1, 2, 8, 8, 8], \"5039\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"5051\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"5059\": [9, 9, 9], \"5077\": [3, 6, 6, 6, 6], \"5081\": [9, 9, 9], \"5087\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"5099\": [1, 2, 8, 8, 8], \"5101\": [1, 2, 8, 8, 8], \"5107\": [1, 1, 5, 5, 5, 5, 5], \"5113\": [9, 9, 9], \"5119\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"5147\": [2, 5, 5, 5, 10], \"5153\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"5167\": [2, 5, 5, 5, 10], \"5171\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"5179\": [2, 5, 5, 5, 10], \"5189\": [3, 6, 6, 6, 6], \"5197\": [1, 1, 5, 5, 5, 5, 5], \"5209\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"5227\": [1, 4, 4, 6, 12], \"5231\": [1, 2, 8, 8, 8], \"5233\": [1, 4, 4, 6, 12], \"5237\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"5261\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"5273\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"5279\": [1, 2, 8, 8, 8], \"5281\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"5297\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"5303\": [1, 2, 8, 8, 8], \"5309\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"5323\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"5333\": [3, 6, 6, 6, 6], \"5347\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"5351\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"5381\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"5387\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"5393\": [2, 5, 5, 5, 10], \"5399\": [1, 1, 5, 5, 5, 5, 5], \"5407\": [1, 4, 4, 6, 12], \"5413\": [1, 1, 5, 5, 5, 5, 5], \"5417\": [2, 5, 5, 5, 10], \"5419\": [9, 9, 9], \"5431\": [1, 2, 8, 8, 8], \"5437\": [3, 6, 6, 6, 6], \"5441\": [1, 1, 5, 5, 5, 5, 5], \"5443\": [1, 4, 4, 6, 12], \"5449\": [3, 6, 6, 6, 6], \"5471\": [3, 3, 3, 3, 3, 6, 6], \"5477\": [1, 4, 4, 6, 12], \"5479\": [3, 12, 12], \"5483\": [3, 6, 6, 6, 6], \"5501\": [1, 2, 8, 8, 8], \"5503\": [3, 6, 6, 6, 6], \"5507\": [9, 9, 9], \"5519\": [2, 5, 5, 5, 10], \"5521\": [3, 12, 12], \"5527\": [1, 1, 5, 5, 5, 5, 5], \"5531\": [9, 9, 9], \"5557\": [1, 4, 4, 6, 12], \"5563\": [9, 9, 9], \"5569\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"5573\": [9, 9, 9], \"5581\": [1, 1, 5, 5, 5, 5, 5], \"5591\": [3, 12, 12], \"5623\": [9, 9, 9], \"5639\": [1, 1, 5, 5, 5, 5, 5], \"5641\": [2, 5, 5, 5, 10], \"5647\": [1, 1, 5, 5, 5, 5, 5], \"5651\": [3, 6, 6, 6, 6], \"5653\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"5657\": [2, 5, 5, 5, 10], \"5659\": [1, 4, 4, 6, 12], \"5669\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"5683\": [3, 12, 12], \"5689\": [9, 9, 9], \"5693\": [1, 4, 4, 6, 12], \"5701\": [3, 12, 12], \"5711\": [3, 6, 6, 6, 6], \"5717\": [1, 2, 8, 8, 8], \"5737\": [9, 9, 9], \"5741\": [3, 6, 6, 6, 6], \"5743\": [3, 12, 12], \"5749\": [3, 6, 6, 6, 6], \"5779\": [3, 6, 6, 6, 6], \"5783\": [1, 4, 4, 6, 12], \"5791\": [9, 9, 9], \"5801\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"5807\": [1, 1, 5, 5, 5, 5, 5], \"5813\": [1, 2, 8, 8, 8], \"5821\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"5827\": [2, 5, 5, 5, 10], \"5839\": [1, 1, 5, 5, 5, 5, 5], \"5843\": [2, 5, 5, 5, 10], \"5849\": [1, 2, 8, 8, 8], \"5851\": [9, 9, 9], \"5857\": [1, 4, 4, 6, 12], \"5861\": [1, 1, 5, 5, 5, 5, 5], \"5867\": [3, 6, 6, 6, 6], \"5869\": [9, 9, 9], \"5879\": [1, 1, 5, 5, 5, 5, 5], \"5881\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"5897\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2], \"5903\": [9, 9, 9], \"5923\": [1, 2, 8, 8, 8], \"5927\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"5939\": [3, 3, 3, 3, 3, 6, 6], \"5953\": [2, 5, 5, 5, 10], \"5981\": [3, 12, 12], \"5987\": [3, 12, 12], \"6007\": [1, 4, 4, 6, 12], \"6011\": [1, 2, 8, 8, 8], \"6029\": [9, 9, 9], \"6037\": [3, 6, 6, 6, 6], \"6043\": [2, 5, 5, 5, 10], \"6047\": [2, 5, 5, 5, 10], \"6053\": [1, 4, 4, 6, 12], \"6067\": [1, 4, 4, 6, 12], \"6073\": [1, 4, 4, 6, 12], \"6079\": [3, 3, 3, 3, 3, 6, 6], \"6089\": [3, 6, 6, 6, 6], \"6091\": [1, 4, 4, 6, 12], \"6101\": [3, 12, 12], \"6113\": [2, 5, 5, 5, 10], \"6121\": [1, 4, 4, 6, 12], \"6131\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"6133\": [1, 1, 5, 5, 5, 5, 5], \"6143\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"6151\": [1, 1, 5, 5, 5, 5, 5], \"6163\": [3, 3, 3, 3, 3, 6, 6], \"6173\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"6197\": [3, 3, 3, 3, 3, 6, 6], \"6199\": [2, 5, 5, 5, 10], \"6203\": [9, 9, 9], \"6211\": [3, 3, 3, 3, 3, 6, 6], \"6217\": [3, 12, 12], \"6221\": [1, 1, 5, 5, 5, 5, 5], \"6229\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"6247\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"6257\": [2, 5, 5, 5, 10], \"6263\": [3, 12, 12], \"6269\": [2, 5, 5, 5, 10], \"6271\": [3, 12, 12], \"6277\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"6287\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"6299\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"6301\": [1, 2, 8, 8, 8], \"6311\": [1, 2, 8, 8, 8], \"6317\": [2, 5, 5, 5, 10], \"6323\": [3, 12, 12], \"6329\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"6337\": [1, 4, 4, 6, 12], \"6343\": [3, 6, 6, 6, 6], \"6353\": [1, 1, 5, 5, 5, 5, 5], \"6359\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"6361\": [9, 9, 9], \"6367\": [2, 5, 5, 5, 10], \"6373\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"6379\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"6389\": [1, 2, 8, 8, 8], \"6397\": [3, 6, 6, 6, 6], \"6421\": [3, 12, 12], \"6427\": [1, 2, 8, 8, 8], \"6449\": [9, 9, 9], \"6451\": [9, 9, 9], \"6469\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"6473\": [3, 12, 12], \"6481\": [3, 6, 6, 6, 6], \"6491\": [2, 5, 5, 5, 10], \"6521\": [9, 9, 9], \"6529\": [3, 12, 12], \"6547\": [1, 1, 5, 5, 5, 5, 5], \"6551\": [1, 4, 4, 6, 12], \"6553\": [3, 6, 6, 6, 6], \"6563\": [3, 6, 6, 6, 6], \"6569\": [9, 9, 9], \"6571\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"6577\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"6581\": [1, 1, 5, 5, 5, 5, 5], \"6599\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"6607\": [9, 9, 9], \"6619\": [3, 12, 12], \"6637\": [9, 9, 9], \"6653\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"6659\": [3, 12, 12], \"6661\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"6673\": [1, 2, 8, 8, 8], \"6679\": [3, 3, 3, 3, 3, 6, 6], \"6689\": [2, 5, 5, 5, 10], \"6691\": [9, 9, 9], \"6701\": [3, 12, 12], \"6703\": [3, 6, 6, 6, 6], \"6709\": [1, 1, 5, 5, 5, 5, 5], \"6719\": [9, 9, 9], \"6733\": [9, 9, 9], \"6737\": [9, 9, 9], \"6761\": [1, 2, 8, 8, 8], \"6763\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"6779\": [1, 4, 4, 6, 12], \"6781\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"6791\": [9, 9, 9], \"6793\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"6803\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"6823\": [3, 6, 6, 6, 6], \"6827\": [3, 12, 12], \"6829\": [1, 2, 8, 8, 8], \"6833\": [2, 5, 5, 5, 10], \"6841\": [1, 2, 8, 8, 8], \"6857\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"6863\": [3, 6, 6, 6, 6], \"6869\": [3, 12, 12], \"6871\": [3, 6, 6, 6, 6], \"6883\": [1, 4, 4, 6, 12], \"6899\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"6907\": [2, 5, 5, 5, 10], \"6911\": [1, 4, 4, 6, 12], \"6917\": [9, 9, 9], \"6947\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"6949\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"6959\": [1, 2, 8, 8, 8], \"6961\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"6967\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"6971\": [1, 4, 4, 6, 12], \"6977\": [3, 6, 6, 6, 6], \"6983\": [3, 6, 6, 6, 6], \"6991\": [1, 2, 8, 8, 8], \"6997\": [1, 4, 4, 6, 12], \"7001\": [2, 5, 5, 5, 10], \"7013\": [1, 4, 4, 6, 12], \"7019\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"7027\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"7039\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"7043\": [1, 2, 8, 8, 8], \"7057\": [1, 2, 8, 8, 8], \"7069\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"7079\": [1, 4, 4, 6, 12], \"7103\": [9, 9, 9], \"7109\": [9, 9, 9], \"7121\": [2, 5, 5, 5, 10], \"7127\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"7129\": [1, 1, 5, 5, 5, 5, 5], \"7151\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"7159\": [3, 6, 6, 6, 6], \"7177\": [2, 5, 5, 5, 10], \"7187\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"7193\": [9, 9, 9], \"7207\": [3, 6, 6, 6, 6], \"7211\": [3, 6, 6, 6, 6], \"7213\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"7219\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"7229\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"7237\": [2, 5, 5, 5, 10], \"7243\": [3, 12, 12], \"7247\": [1, 2, 8, 8, 8], \"7253\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"7283\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"7297\": [3, 6, 6, 6, 6], \"7307\": [3, 3, 3, 3, 3, 6, 6], \"7309\": [1, 1, 5, 5, 5, 5, 5], \"7321\": [3, 3, 3, 3, 3, 6, 6], \"7331\": [9, 9, 9], \"7333\": [2, 5, 5, 5, 10], \"7349\": [3, 3, 3, 3, 3, 6, 6], \"7351\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"7369\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"7393\": [9, 9, 9], \"7411\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"7417\": [1, 2, 8, 8, 8], \"7433\": [9, 9, 9], \"7451\": [3, 6, 6, 6, 6], \"7457\": [9, 9, 9], \"7459\": [1, 2, 8, 8, 8], \"7477\": [3, 12, 12], \"7481\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"7487\": [3, 3, 3, 3, 3, 6, 6], \"7489\": [1, 1, 5, 5, 5, 5, 5], \"7499\": [1, 1, 5, 5, 5, 5, 5], \"7507\": [1, 2, 8, 8, 8], \"7517\": [1, 1, 5, 5, 5, 5, 5], \"7523\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"7529\": [9, 9, 9], \"7537\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"7541\": [3, 6, 6, 6, 6], \"7547\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"7549\": [3, 6, 6, 6, 6], \"7559\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"7561\": [3, 6, 6, 6, 6], \"7573\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"7577\": [9, 9, 9], \"7583\": [1, 2, 8, 8, 8], \"7589\": [1, 1, 5, 5, 5, 5, 5], \"7591\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"7603\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"7607\": [2, 5, 5, 5, 10], \"7621\": [1, 4, 4, 6, 12], \"7639\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"7643\": [3, 12, 12], \"7649\": [1, 4, 4, 6, 12], \"7669\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"7673\": [1, 4, 4, 6, 12], \"7681\": [1, 4, 4, 6, 12], \"7687\": [9, 9, 9], \"7691\": [9, 9, 9], \"7699\": [2, 5, 5, 5, 10], \"7703\": [2, 5, 5, 5, 10], \"7717\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"7723\": [1, 1, 5, 5, 5, 5, 5], \"7727\": [2, 5, 5, 5, 10], \"7741\": [9, 9, 9], \"7753\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"7757\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"7759\": [1, 2, 8, 8, 8], \"7789\": [3, 12, 12], \"7793\": [3, 6, 6, 6, 6], \"7817\": [1, 4, 4, 6, 12], \"7823\": [9, 9, 9], \"7829\": [1, 4, 4, 6, 12], \"7841\": [1, 4, 4, 6, 12], \"7853\": [3, 6, 6, 6, 6], \"7867\": [1, 1, 5, 5, 5, 5, 5], \"7873\": [9, 9, 9], \"7877\": [3, 3, 3, 3, 3, 6, 6], \"7879\": [1, 4, 4, 6, 12], \"7883\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"7901\": [1, 4, 4, 6, 12], \"7907\": [9, 9, 9], \"7919\": [1, 2, 8, 8, 8], \"7927\": [1, 4, 4, 6, 12], \"7933\": [3, 6, 6, 6, 6], \"7937\": [3, 6, 6, 6, 6], \"7949\": [3, 6, 6, 6, 6], \"7951\": [3, 6, 6, 6, 6], \"7963\": [1, 1, 5, 5, 5, 5, 5], \"7993\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"8009\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"8011\": [1, 4, 4, 6, 12], \"8017\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"8039\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"8053\": [1, 1, 5, 5, 5, 5, 5], \"8059\": [1, 4, 4, 6, 12], \"8069\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"8081\": [3, 6, 6, 6, 6], \"8087\": [2, 5, 5, 5, 10], \"8089\": [3, 6, 6, 6, 6], \"8093\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"8101\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"8111\": [3, 6, 6, 6, 6], \"8117\": [1, 2, 8, 8, 8], \"8123\": [1, 2, 8, 8, 8], \"8147\": [1, 1, 5, 5, 5, 5, 5], \"8161\": [3, 12, 12], \"8167\": [1, 2, 8, 8, 8], \"8171\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"8179\": [2, 5, 5, 5, 10], \"8191\": [9, 9, 9], \"8209\": [1, 2, 8, 8, 8], \"8219\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"8221\": [9, 9, 9], \"8231\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"8233\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"8237\": [2, 5, 5, 5, 10], \"8243\": [2, 5, 5, 5, 10], \"8263\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"8269\": [1, 2, 8, 8, 8], \"8273\": [1, 1, 5, 5, 5, 5, 5], \"8287\": [2, 5, 5, 5, 10], \"8291\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"8293\": [1, 2, 8, 8, 8], \"8297\": [1, 2, 8, 8, 8], \"8311\": [1, 4, 4, 6, 12], \"8317\": [1, 2, 8, 8, 8], \"8329\": [1, 2, 8, 8, 8], \"8353\": [1, 4, 4, 6, 12], \"8363\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"8369\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3], \"8377\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"8387\": [2, 5, 5, 5, 10], \"8389\": [1, 1, 5, 5, 5, 5, 5], \"8419\": [9, 9, 9], \"8423\": [9, 9, 9], \"8429\": [1, 2, 8, 8, 8], \"8431\": [3, 6, 6, 6, 6], \"8443\": [1, 1, 5, 5, 5, 5, 5], \"8447\": [3, 12, 12], \"8461\": [3, 12, 12], \"8467\": [1, 4, 4, 6, 12], \"8501\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"8513\": [9, 9, 9], \"8521\": [2, 5, 5, 5, 10], \"8527\": [1, 4, 4, 6, 12], \"8537\": [2, 5, 5, 5, 10], \"8539\": [3, 6, 6, 6, 6], \"8543\": [3, 6, 6, 6, 6], \"8563\": [3, 12, 12], \"8573\": [3, 12, 12], \"8581\": [3, 6, 6, 6, 6], \"8597\": [1, 2, 8, 8, 8], \"8599\": [1, 2, 8, 8, 8], \"8609\": [1, 1, 5, 5, 5, 5, 5], \"8623\": [3, 6, 6, 6, 6], \"8627\": [9, 9, 9], \"8629\": [2, 5, 5, 5, 10], \"8641\": [3, 6, 6, 6, 6], \"8647\": [9, 9, 9], \"8663\": [1, 1, 5, 5, 5, 5, 5], \"8669\": [2, 5, 5, 5, 10], \"8677\": [1, 1, 5, 5, 5, 5, 5], \"8681\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"8689\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"8693\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"8699\": [9, 9, 9], \"8707\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"8713\": [3, 6, 6, 6, 6], \"8719\": [2, 5, 5, 5, 10], \"8731\": [1, 4, 4, 6, 12], \"8737\": [1, 2, 8, 8, 8], \"8741\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"8747\": [3, 6, 6, 6, 6], \"8753\": [2, 5, 5, 5, 10], \"8761\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"8779\": [1, 4, 4, 6, 12], \"8783\": [2, 5, 5, 5, 10], \"8803\": [1, 1, 5, 5, 5, 5, 5], \"8807\": [2, 5, 5, 5, 10], \"8819\": [2, 5, 5, 5, 10], \"8821\": [9, 9, 9], \"8831\": [1, 2, 8, 8, 8], \"8837\": [2, 5, 5, 5, 10], \"8839\": [3, 6, 6, 6, 6], \"8849\": [1, 1, 5, 5, 5, 5, 5], \"8861\": [3, 6, 6, 6, 6], \"8863\": [3, 6, 6, 6, 6], \"8867\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"8887\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"8893\": [1, 2, 8, 8, 8], \"8923\": [1, 2, 8, 8, 8], \"8929\": [3, 12, 12], \"8933\": [1, 4, 4, 6, 12], \"8941\": [2, 5, 5, 5, 10], \"8951\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"8963\": [1, 1, 5, 5, 5, 5, 5], \"8969\": [1, 4, 4, 6, 12], \"8971\": [3, 6, 6, 6, 6], \"8999\": [1, 2, 8, 8, 8], \"9001\": [1, 4, 4, 6, 12], \"9007\": [3, 6, 6, 6, 6], \"9011\": [9, 9, 9], \"9013\": [1, 1, 5, 5, 5, 5, 5], \"9029\": [3, 3, 3, 3, 3, 6, 6], \"9041\": [1, 2, 8, 8, 8], \"9043\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"9049\": [1, 4, 4, 6, 12], \"9059\": [2, 5, 5, 5, 10], \"9067\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"9091\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"9103\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"9109\": [3, 6, 6, 6, 6], \"9127\": [1, 4, 4, 6, 12], \"9133\": [1, 2, 8, 8, 8], \"9137\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"9151\": [2, 5, 5, 5, 10], \"9157\": [1, 2, 8, 8, 8], \"9161\": [2, 5, 5, 5, 10], \"9173\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"9181\": [1, 4, 4, 6, 12], \"9187\": [3, 6, 6, 6, 6], \"9199\": [1, 2, 8, 8, 8], \"9203\": [3, 3, 3, 3, 3, 6, 6], \"9209\": [1, 1, 5, 5, 5, 5, 5], \"9221\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"9227\": [9, 9, 9], \"9239\": [3, 12, 12], \"9241\": [3, 12, 12], \"9257\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"9277\": [1, 1, 5, 5, 5, 5, 5], \"9281\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"9283\": [3, 6, 6, 6, 6], \"9293\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"9311\": [1, 4, 4, 6, 12], \"9319\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"9323\": [1, 4, 4, 6, 12], \"9337\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"9341\": [3, 6, 6, 6, 6], \"9343\": [3, 12, 12], \"9349\": [2, 5, 5, 5, 10], \"9371\": [9, 9, 9], \"9377\": [1, 4, 4, 6, 12], \"9391\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"9397\": [3, 6, 6, 6, 6], \"9403\": [2, 5, 5, 5, 10], \"9413\": [3, 3, 3, 3, 3, 6, 6], \"9419\": [1, 2, 8, 8, 8], \"9421\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"9431\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"9433\": [1, 2, 8, 8, 8], \"9437\": [9, 9, 9], \"9439\": [3, 6, 6, 6, 6], \"9461\": [3, 12, 12], \"9463\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"9467\": [1, 2, 8, 8, 8], \"9473\": [1, 4, 4, 6, 12], \"9479\": [3, 12, 12], \"9491\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"9497\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"9511\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"9521\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"9533\": [1, 1, 5, 5, 5, 5, 5], \"9539\": [9, 9, 9], \"9547\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"9551\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"9587\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"9601\": [2, 5, 5, 5, 10], \"9613\": [1, 1, 5, 5, 5, 5, 5], \"9619\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"9623\": [3, 12, 12], \"9629\": [1, 1, 5, 5, 5, 5, 5], \"9631\": [9, 9, 9], \"9643\": [9, 9, 9], \"9649\": [1, 2, 8, 8, 8], \"9661\": [9, 9, 9], \"9677\": [1, 2, 8, 8, 8], \"9679\": [2, 5, 5, 5, 10], \"9689\": [1, 2, 8, 8, 8], \"9697\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"9719\": [3, 12, 12], \"9721\": [3, 6, 6, 6, 6], \"9733\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"9739\": [3, 6, 6, 6, 6], \"9743\": [1, 1, 5, 5, 5, 5, 5], \"9749\": [2, 5, 5, 5, 10], \"9767\": [1, 2, 8, 8, 8], \"9769\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"9781\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"9787\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"9791\": [3, 12, 12], \"9803\": [1, 2, 8, 8, 8], \"9811\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"9817\": [1, 2, 8, 8, 8], \"9829\": [1, 2, 8, 8, 8], \"9833\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"9839\": [1, 1, 5, 5, 5, 5, 5], \"9851\": [1, 2, 8, 8, 8], \"9857\": [3, 6, 6, 6, 6], \"9859\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"9871\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"9883\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"9887\": [3, 12, 12], \"9901\": [2, 5, 5, 5, 10], \"9907\": [3, 12, 12], \"9923\": [2, 5, 5, 5, 10], \"9929\": [3, 12, 12], \"9931\": [2, 5, 5, 5, 10], \"9941\": [1, 4, 4, 6, 12], \"9949\": [3, 12, 12], \"9967\": [9, 9, 9], \"9973\": [1, 2, 8, 8, 8], \"10007\": [2, 5, 5, 5, 10], \"10009\": [3, 12, 12], \"10037\": [1, 4, 4, 6, 12], \"10039\": [3, 12, 12], \"10061\": [3, 6, 6, 6, 6], \"10067\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"10069\": [3, 6, 6, 6, 6], \"10079\": [1, 4, 4, 6, 12], \"10091\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"10093\": [1, 2, 8, 8, 8], \"10099\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"10103\": [1, 1, 5, 5, 5, 5, 5], \"10111\": [3, 6, 6, 6, 6], \"10133\": [3, 6, 6, 6, 6], \"10139\": [1, 1, 5, 5, 5, 5, 5], \"10141\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"10151\": [2, 5, 5, 5, 10], \"10159\": [3, 12, 12], \"10163\": [2, 5, 5, 5, 10], \"10169\": [3, 12, 12], \"10177\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"10181\": [1, 1, 5, 5, 5, 5, 5], \"10193\": [1, 2, 8, 8, 8], \"10211\": [3, 6, 6, 6, 6], \"10223\": [1, 1, 5, 5, 5, 5, 5], \"10243\": [3, 6, 6, 6, 6], \"10247\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"10253\": [1, 1, 5, 5, 5, 5, 5], \"10259\": [2, 5, 5, 5, 10], \"10267\": [9, 9, 9], \"10271\": [1, 2, 8, 8, 8], \"10273\": [1, 2, 8, 8, 8], \"10289\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"10301\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"10303\": [2, 5, 5, 5, 10], \"10313\": [9, 9, 9], \"10321\": [3, 12, 12], \"10331\": [1, 1, 5, 5, 5, 5, 5], \"10333\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"10337\": [1, 4, 4, 6, 12], \"10343\": [1, 1, 5, 5, 5, 5, 5], \"10357\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"10369\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"10391\": [1, 1, 5, 5, 5, 5, 5], \"10399\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"10427\": [9, 9, 9], \"10429\": [9, 9, 9], \"10433\": [3, 12, 12], \"10453\": [1, 2, 8, 8, 8], \"10457\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"10459\": [3, 3, 3, 3, 3, 6, 6], \"10463\": [9, 9, 9], \"10477\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"10487\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"10499\": [1, 2, 8, 8, 8], \"10501\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"10513\": [3, 12, 12], \"10529\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"10531\": [3, 12, 12], \"10559\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"10567\": [1, 2, 8, 8, 8], \"10589\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"10597\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3], \"10601\": [3, 6, 6, 6, 6], \"10607\": [3, 6, 6, 6, 6], \"10613\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"10627\": [3, 12, 12], \"10631\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"10639\": [3, 6, 6, 6, 6], \"10651\": [1, 1, 5, 5, 5, 5, 5], \"10657\": [2, 5, 5, 5, 10], \"10663\": [1, 4, 4, 6, 12], \"10667\": [9, 9, 9], \"10687\": [3, 3, 3, 3, 3, 6, 6], \"10691\": [2, 5, 5, 5, 10], \"10709\": [2, 5, 5, 5, 10], \"10711\": [9, 9, 9], \"10723\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"10729\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"10733\": [3, 6, 6, 6, 6], \"10739\": [2, 5, 5, 5, 10], \"10753\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"10771\": [1, 1, 5, 5, 5, 5, 5], \"10781\": [9, 9, 9], \"10789\": [1, 1, 5, 5, 5, 5, 5], \"10799\": [1, 1, 5, 5, 5, 5, 5], \"10831\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"10837\": [3, 6, 6, 6, 6], \"10847\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"10853\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3], \"10859\": [1, 2, 8, 8, 8], \"10861\": [2, 5, 5, 5, 10], \"10867\": [1, 1, 5, 5, 5, 5, 5], \"10883\": [3, 12, 12], \"10889\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"10891\": [1, 4, 4, 6, 12], \"10903\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"10909\": [1, 4, 4, 6, 12], \"10937\": [3, 6, 6, 6, 6], \"10939\": [1, 4, 4, 6, 12], \"10949\": [2, 5, 5, 5, 10], \"10957\": [9, 9, 9], \"10973\": [9, 9, 9], \"10979\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"10987\": [1, 1, 5, 5, 5, 5, 5], \"10993\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"11003\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"11027\": [1, 4, 4, 6, 12], \"11047\": [1, 1, 5, 5, 5, 5, 5], \"11057\": [9, 9, 9], \"11059\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"11069\": [9, 9, 9], \"11071\": [1, 4, 4, 6, 12], \"11083\": [3, 6, 6, 6, 6], \"11087\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"11093\": [3, 6, 6, 6, 6], \"11113\": [1, 4, 4, 6, 12], \"11117\": [1, 2, 8, 8, 8], \"11119\": [9, 9, 9], \"11131\": [1, 1, 5, 5, 5, 5, 5], \"11149\": [1, 1, 5, 5, 5, 5, 5], \"11159\": [9, 9, 9], \"11161\": [1, 2, 8, 8, 8], \"11171\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"11173\": [3, 6, 6, 6, 6], \"11177\": [3, 6, 6, 6, 6], \"11197\": [3, 6, 6, 6, 6], \"11213\": [3, 12, 12], \"11239\": [9, 9, 9], \"11243\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"11251\": [1, 1, 5, 5, 5, 5, 5], \"11257\": [1, 1, 5, 5, 5, 5, 5], \"11261\": [9, 9, 9], \"11273\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"11279\": [3, 6, 6, 6, 6], \"11287\": [3, 12, 12], \"11299\": [1, 1, 5, 5, 5, 5, 5], \"11311\": [9, 9, 9], \"11317\": [1, 2, 8, 8, 8], \"11321\": [9, 9, 9], \"11329\": [2, 5, 5, 5, 10], \"11351\": [2, 5, 5, 5, 10], \"11353\": [1, 2, 8, 8, 8], \"11369\": [1, 4, 4, 6, 12], \"11383\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"11393\": [3, 6, 6, 6, 6], \"11399\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"11411\": [3, 12, 12], \"11423\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"11437\": [2, 5, 5, 5, 10], \"11443\": [9, 9, 9], \"11447\": [2, 5, 5, 5, 10], \"11467\": [3, 3, 3, 3, 3, 6, 6], \"11471\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"11483\": [9, 9, 9], \"11489\": [3, 3, 3, 3, 3, 6, 6], \"11491\": [3, 6, 6, 6, 6], \"11497\": [3, 6, 6, 6, 6], \"11503\": [9, 9, 9], \"11519\": [1, 2, 8, 8, 8], \"11527\": [2, 5, 5, 5, 10], \"11549\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"11551\": [1, 2, 8, 8, 8], \"11579\": [1, 1, 5, 5, 5, 5, 5], \"11587\": [1, 4, 4, 6, 12], \"11593\": [1, 4, 4, 6, 12], \"11597\": [3, 6, 6, 6, 6], \"11617\": [3, 6, 6, 6, 6], \"11621\": [3, 12, 12], \"11633\": [3, 6, 6, 6, 6], \"11657\": [1, 2, 8, 8, 8], \"11677\": [1, 2, 8, 8, 8], \"11681\": [3, 12, 12], \"11689\": [3, 12, 12], \"11699\": [9, 9, 9], \"11701\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"11717\": [1, 1, 5, 5, 5, 5, 5], \"11719\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"11731\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"11743\": [3, 12, 12], \"11777\": [2, 5, 5, 5, 10], \"11779\": [9, 9, 9], \"11783\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"11789\": [1, 1, 5, 5, 5, 5, 5], \"11801\": [1, 4, 4, 6, 12], \"11807\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"11813\": [3, 6, 6, 6, 6], \"11821\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"11827\": [1, 4, 4, 6, 12], \"11831\": [1, 1, 5, 5, 5, 5, 5], \"11833\": [9, 9, 9], \"11839\": [3, 12, 12], \"11863\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"11867\": [3, 12, 12], \"11887\": [9, 9, 9], \"11897\": [1, 2, 8, 8, 8], \"11903\": [2, 5, 5, 5, 10], \"11909\": [2, 5, 5, 5, 10], \"11923\": [2, 5, 5, 5, 10], \"11927\": [9, 9, 9], \"11933\": [9, 9, 9], \"11939\": [3, 12, 12], \"11941\": [1, 2, 8, 8, 8], \"11953\": [1, 4, 4, 6, 12], \"11959\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"11969\": [1, 2, 8, 8, 8], \"11971\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"11981\": [2, 5, 5, 5, 10], \"11987\": [9, 9, 9], \"12007\": [9, 9, 9], \"12011\": [2, 5, 5, 5, 10], \"12037\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"12041\": [1, 1, 5, 5, 5, 5, 5], \"12043\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"12049\": [3, 12, 12], \"12071\": [1, 1, 5, 5, 5, 5, 5], \"12073\": [1, 1, 5, 5, 5, 5, 5], \"12097\": [1, 2, 8, 8, 8], \"12101\": [3, 6, 6, 6, 6], \"12107\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"12109\": [2, 5, 5, 5, 10], \"12113\": [3, 12, 12], \"12119\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3], \"12143\": [1, 1, 5, 5, 5, 5, 5], \"12149\": [2, 5, 5, 5, 10], \"12157\": [2, 5, 5, 5, 10], \"12161\": [3, 6, 6, 6, 6], \"12163\": [1, 2, 8, 8, 8], \"12197\": [9, 9, 9], \"12203\": [1, 4, 4, 6, 12], \"12211\": [3, 6, 6, 6, 6], \"12227\": [1, 2, 8, 8, 8], \"12239\": [9, 9, 9], \"12241\": [9, 9, 9], \"12251\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"12253\": [1, 1, 5, 5, 5, 5, 5], \"12263\": [1, 4, 4, 6, 12], \"12269\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"12277\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"12281\": [2, 5, 5, 5, 10], \"12289\": [2, 5, 5, 5, 10], \"12301\": [3, 12, 12], \"12323\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"12329\": [1, 1, 5, 5, 5, 5, 5], \"12343\": [1, 2, 8, 8, 8], \"12347\": [1, 2, 8, 8, 8], \"12373\": [3, 12, 12], \"12377\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"12379\": [9, 9, 9], \"12391\": [1, 1, 5, 5, 5, 5, 5], \"12401\": [3, 12, 12], \"12409\": [9, 9, 9], \"12413\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"12421\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"12433\": [1, 1, 5, 5, 5, 5, 5], \"12437\": [3, 12, 12], \"12451\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"12457\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"12473\": [3, 6, 6, 6, 6], \"12479\": [1, 2, 8, 8, 8], \"12487\": [3, 12, 12], \"12491\": [1, 2, 8, 8, 8], \"12497\": [3, 3, 3, 3, 3, 6, 6], \"12503\": [9, 9, 9], \"12511\": [2, 5, 5, 5, 10], \"12517\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"12527\": [3, 12, 12], \"12539\": [2, 5, 5, 5, 10], \"12541\": [1, 1, 5, 5, 5, 5, 5], \"12547\": [3, 6, 6, 6, 6], \"12553\": [3, 6, 6, 6, 6], \"12569\": [2, 5, 5, 5, 10], \"12577\": [2, 5, 5, 5, 10], \"12583\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"12589\": [1, 2, 8, 8, 8], \"12601\": [1, 4, 4, 6, 12], \"12611\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3], \"12613\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"12619\": [1, 1, 5, 5, 5, 5, 5], \"12637\": [2, 5, 5, 5, 10], \"12641\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"12647\": [1, 4, 4, 6, 12], \"12653\": [3, 6, 6, 6, 6], \"12659\": [2, 5, 5, 5, 10], \"12671\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"12689\": [1, 1, 5, 5, 5, 5, 5], \"12697\": [1, 2, 8, 8, 8], \"12703\": [2, 5, 5, 5, 10], \"12713\": [1, 1, 5, 5, 5, 5, 5], \"12721\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"12739\": [9, 9, 9], \"12743\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"12757\": [1, 4, 4, 6, 12], \"12763\": [1, 4, 4, 6, 12], \"12781\": [1, 2, 8, 8, 8], \"12791\": [1, 2, 8, 8, 8], \"12799\": [1, 2, 8, 8, 8], \"12809\": [3, 12, 12], \"12821\": [3, 6, 6, 6, 6], \"12823\": [3, 6, 6, 6, 6], \"12829\": [3, 12, 12], \"12841\": [1, 1, 5, 5, 5, 5, 5], \"12853\": [1, 4, 4, 6, 12], \"12889\": [1, 4, 4, 6, 12], \"12893\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"12899\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"12907\": [1, 2, 8, 8, 8], \"12911\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3], \"12917\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"12919\": [2, 5, 5, 5, 10], \"12923\": [1, 1, 5, 5, 5, 5, 5], \"12941\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"12953\": [2, 5, 5, 5, 10], \"12959\": [1, 4, 4, 6, 12], \"12967\": [3, 12, 12], \"12973\": [3, 6, 6, 6, 6], \"12979\": [2, 5, 5, 5, 10], \"12983\": [3, 6, 6, 6, 6], \"13001\": [1, 2, 8, 8, 8], \"13003\": [2, 5, 5, 5, 10], \"13007\": [3, 6, 6, 6, 6], \"13009\": [1, 2, 8, 8, 8], \"13033\": [2, 5, 5, 5, 10], \"13037\": [1, 2, 8, 8, 8], \"13043\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"13049\": [1, 4, 4, 6, 12], \"13063\": [3, 6, 6, 6, 6], \"13093\": [9, 9, 9], \"13099\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"13103\": [3, 12, 12], \"13109\": [1, 1, 5, 5, 5, 5, 5], \"13121\": [3, 12, 12], \"13127\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"13147\": [1, 1, 5, 5, 5, 5, 5], \"13151\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"13159\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"13163\": [3, 6, 6, 6, 6], \"13171\": [9, 9, 9], \"13177\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"13183\": [1, 4, 4, 6, 12], \"13187\": [1, 2, 8, 8, 8], \"13217\": [1, 1, 5, 5, 5, 5, 5], \"13219\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"13229\": [1, 2, 8, 8, 8], \"13241\": [1, 2, 8, 8, 8], \"13249\": [1, 1, 5, 5, 5, 5, 5], \"13259\": [3, 12, 12], \"13267\": [1, 4, 4, 6, 12], \"13291\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"13297\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"13309\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"13313\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"13327\": [3, 12, 12], \"13331\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3], \"13337\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"13339\": [2, 5, 5, 5, 10], \"13367\": [9, 9, 9], \"13381\": [1, 2, 8, 8, 8], \"13397\": [1, 1, 5, 5, 5, 5, 5], \"13399\": [1, 4, 4, 6, 12], \"13411\": [1, 4, 4, 6, 12], \"13417\": [3, 6, 6, 6, 6], \"13421\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"13441\": [9, 9, 9], \"13451\": [1, 4, 4, 6, 12], \"13457\": [9, 9, 9], \"13463\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"13469\": [1, 1, 5, 5, 5, 5, 5], \"13477\": [3, 6, 6, 6, 6], \"13487\": [3, 6, 6, 6, 6], \"13499\": [3, 6, 6, 6, 6], \"13513\": [1, 1, 5, 5, 5, 5, 5], \"13523\": [1, 4, 4, 6, 12], \"13537\": [2, 5, 5, 5, 10], \"13553\": [1, 4, 4, 6, 12], \"13567\": [2, 5, 5, 5, 10], \"13577\": [2, 5, 5, 5, 10], \"13591\": [1, 2, 8, 8, 8], \"13597\": [3, 6, 6, 6, 6], \"13613\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"13619\": [1, 2, 8, 8, 8], \"13627\": [3, 12, 12], \"13633\": [1, 1, 5, 5, 5, 5, 5], \"13649\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"13669\": [2, 5, 5, 5, 10], \"13679\": [1, 1, 5, 5, 5, 5, 5], \"13681\": [9, 9, 9], \"13687\": [3, 12, 12], \"13691\": [1, 2, 8, 8, 8], \"13693\": [1, 4, 4, 6, 12], \"13697\": [3, 12, 12], \"13709\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"13711\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"13721\": [3, 6, 6, 6, 6], \"13723\": [3, 6, 6, 6, 6], \"13729\": [2, 5, 5, 5, 10], \"13751\": [1, 4, 4, 6, 12], \"13757\": [3, 6, 6, 6, 6], \"13759\": [1, 1, 5, 5, 5, 5, 5], \"13763\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"13781\": [3, 6, 6, 6, 6], \"13789\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"13799\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"13807\": [1, 1, 5, 5, 5, 5, 5], \"13829\": [2, 5, 5, 5, 10], \"13831\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"13841\": [1, 2, 8, 8, 8], \"13859\": [3, 6, 6, 6, 6], \"13873\": [3, 3, 3, 3, 3, 6, 6], \"13877\": [3, 12, 12], \"13879\": [2, 5, 5, 5, 10], \"13883\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"13901\": [1, 4, 4, 6, 12], \"13903\": [3, 12, 12], \"13907\": [3, 6, 6, 6, 6], \"13913\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"13921\": [3, 12, 12], \"13931\": [1, 2, 8, 8, 8], \"13933\": [1, 1, 5, 5, 5, 5, 5], \"13963\": [1, 2, 8, 8, 8], \"13967\": [3, 12, 12], \"13997\": [1, 4, 4, 6, 12], \"13999\": [3, 6, 6, 6, 6], \"14009\": [2, 5, 5, 5, 10], \"14011\": [1, 1, 5, 5, 5, 5, 5], \"14029\": [9, 9, 9], \"14033\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"14051\": [1, 1, 5, 5, 5, 5, 5], \"14057\": [1, 1, 5, 5, 5, 5, 5], \"14071\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"14081\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"14083\": [1, 2, 8, 8, 8], \"14087\": [9, 9, 9], \"14107\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"14143\": [3, 12, 12], \"14149\": [3, 6, 6, 6, 6], \"14153\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"14159\": [9, 9, 9], \"14173\": [1, 1, 5, 5, 5, 5, 5], \"14177\": [9, 9, 9], \"14197\": [9, 9, 9], \"14207\": [1, 2, 8, 8, 8], \"14221\": [9, 9, 9], \"14243\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"14249\": [1, 1, 5, 5, 5, 5, 5], \"14251\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"14281\": [1, 2, 8, 8, 8], \"14293\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"14303\": [1, 2, 8, 8, 8], \"14321\": [1, 4, 4, 6, 12], \"14323\": [1, 1, 5, 5, 5, 5, 5], \"14327\": [3, 6, 6, 6, 6], \"14341\": [3, 6, 6, 6, 6], \"14347\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"14369\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"14387\": [2, 5, 5, 5, 10], \"14389\": [1, 4, 4, 6, 12], \"14401\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"14407\": [9, 9, 9], \"14411\": [1, 2, 8, 8, 8], \"14419\": [1, 2, 8, 8, 8], \"14423\": [9, 9, 9], \"14431\": [2, 5, 5, 5, 10], \"14437\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"14447\": [2, 5, 5, 5, 10], \"14449\": [1, 1, 5, 5, 5, 5, 5], \"14461\": [1, 2, 8, 8, 8], \"14479\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"14489\": [2, 5, 5, 5, 10], \"14503\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"14519\": [1, 4, 4, 6, 12], \"14533\": [1, 1, 5, 5, 5, 5, 5], \"14537\": [1, 2, 8, 8, 8], \"14543\": [3, 12, 12], \"14549\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"14551\": [3, 6, 6, 6, 6], \"14557\": [9, 9, 9], \"14561\": [1, 4, 4, 6, 12], \"14563\": [1, 4, 4, 6, 12], \"14591\": [3, 6, 6, 6, 6], \"14593\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"14621\": [9, 9, 9], \"14627\": [1, 2, 8, 8, 8], \"14629\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"14633\": [1, 2, 8, 8, 8], \"14639\": [2, 5, 5, 5, 10], \"14653\": [1, 2, 8, 8, 8], \"14657\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"14669\": [3, 6, 6, 6, 6], \"14683\": [9, 9, 9], \"14699\": [9, 9, 9], \"14713\": [9, 9, 9], \"14717\": [9, 9, 9], \"14723\": [1, 1, 5, 5, 5, 5, 5], \"14731\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"14737\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"14741\": [3, 6, 6, 6, 6], \"14747\": [3, 6, 6, 6, 6], \"14753\": [9, 9, 9], \"14759\": [1, 1, 5, 5, 5, 5, 5], \"14767\": [1, 4, 4, 6, 12], \"14771\": [3, 6, 6, 6, 6], \"14779\": [3, 6, 6, 6, 6], \"14783\": [3, 6, 6, 6, 6], \"14797\": [1, 2, 8, 8, 8], \"14813\": [1, 1, 5, 5, 5, 5, 5], \"14821\": [9, 9, 9], \"14827\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"14831\": [1, 4, 4, 6, 12], \"14843\": [1, 4, 4, 6, 12], \"14851\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"14867\": [1, 2, 8, 8, 8], \"14869\": [2, 5, 5, 5, 10], \"14879\": [3, 12, 12], \"14887\": [3, 6, 6, 6, 6], \"14891\": [1, 4, 4, 6, 12], \"14897\": [3, 6, 6, 6, 6], \"14923\": [1, 4, 4, 6, 12], \"14929\": [1, 1, 5, 5, 5, 5, 5], \"14939\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"14947\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"14951\": [1, 4, 4, 6, 12], \"14957\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"14969\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"14983\": [3, 3, 3, 3, 3, 6, 6], \"15013\": [9, 9, 9], \"15017\": [1, 4, 4, 6, 12], \"15031\": [1, 2, 8, 8, 8], \"15053\": [9, 9, 9], \"15061\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"15073\": [9, 9, 9], \"15077\": [2, 5, 5, 5, 10], \"15083\": [2, 5, 5, 5, 10], \"15091\": [1, 2, 8, 8, 8], \"15101\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"15107\": [3, 3, 3, 3, 3, 6, 6], \"15121\": [3, 3, 3, 3, 3, 6, 6], \"15131\": [2, 5, 5, 5, 10], \"15137\": [2, 5, 5, 5, 10], \"15139\": [9, 9, 9], \"15149\": [1, 4, 4, 6, 12], \"15161\": [3, 12, 12], \"15173\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"15187\": [1, 2, 8, 8, 8], \"15193\": [1, 4, 4, 6, 12], \"15199\": [2, 5, 5, 5, 10], \"15217\": [1, 2, 8, 8, 8], \"15227\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"15233\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"15241\": [3, 6, 6, 6, 6], \"15259\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"15263\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"15269\": [1, 4, 4, 6, 12], \"15271\": [3, 12, 12], \"15277\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"15287\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"15289\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"15299\": [3, 6, 6, 6, 6], \"15307\": [9, 9, 9], \"15313\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"15319\": [1, 1, 5, 5, 5, 5, 5], \"15329\": [1, 2, 8, 8, 8], \"15331\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"15349\": [1, 4, 4, 6, 12], \"15359\": [9, 9, 9], \"15361\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"15373\": [3, 6, 6, 6, 6], \"15377\": [9, 9, 9], \"15383\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"15391\": [9, 9, 9], \"15401\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"15413\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"15427\": [9, 9, 9], \"15439\": [3, 3, 3, 3, 3, 6, 6], \"15443\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"15451\": [1, 2, 8, 8, 8], \"15461\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"15467\": [1, 1, 5, 5, 5, 5, 5], \"15473\": [9, 9, 9], \"15493\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"15497\": [2, 5, 5, 5, 10], \"15511\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"15527\": [2, 5, 5, 5, 10], \"15541\": [3, 3, 3, 3, 3, 6, 6], \"15551\": [3, 3, 3, 3, 3, 6, 6], \"15559\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"15569\": [9, 9, 9], \"15581\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"15583\": [3, 6, 6, 6, 6], \"15601\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"15607\": [3, 12, 12], \"15619\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"15629\": [1, 4, 4, 6, 12], \"15641\": [3, 12, 12], \"15643\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"15647\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"15649\": [9, 9, 9], \"15661\": [1, 2, 8, 8, 8], \"15667\": [3, 6, 6, 6, 6], \"15671\": [3, 12, 12], \"15679\": [1, 2, 8, 8, 8], \"15683\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"15727\": [2, 5, 5, 5, 10], \"15731\": [2, 5, 5, 5, 10], \"15733\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"15737\": [1, 1, 5, 5, 5, 5, 5], \"15739\": [1, 2, 8, 8, 8], \"15749\": [1, 1, 5, 5, 5, 5, 5], \"15761\": [3, 6, 6, 6, 6], \"15767\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"15773\": [1, 1, 5, 5, 5, 5, 5], \"15787\": [1, 2, 8, 8, 8], \"15791\": [1, 4, 4, 6, 12], \"15797\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"15803\": [9, 9, 9], \"15809\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"15817\": [1, 4, 4, 6, 12], \"15823\": [3, 12, 12], \"15859\": [1, 2, 8, 8, 8], \"15877\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"15881\": [9, 9, 9], \"15887\": [2, 5, 5, 5, 10], \"15889\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"15901\": [1, 1, 5, 5, 5, 5, 5], \"15907\": [3, 6, 6, 6, 6], \"15913\": [9, 9, 9], \"15919\": [1, 1, 5, 5, 5, 5, 5], \"15923\": [1, 1, 5, 5, 5, 5, 5], \"15937\": [1, 1, 5, 5, 5, 5, 5], \"15959\": [3, 12, 12], \"15971\": [3, 12, 12], \"15973\": [9, 9, 9], \"15991\": [1, 4, 4, 6, 12], \"16001\": [9, 9, 9], \"16007\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"16033\": [3, 3, 3, 3, 3, 6, 6], \"16057\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"16061\": [1, 1, 5, 5, 5, 5, 5], \"16063\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"16067\": [1, 2, 8, 8, 8], \"16069\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"16073\": [9, 9, 9], \"16087\": [3, 6, 6, 6, 6], \"16091\": [3, 3, 3, 3, 3, 6, 6], \"16097\": [1, 1, 5, 5, 5, 5, 5], \"16103\": [1, 2, 8, 8, 8], \"16111\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"16127\": [2, 5, 5, 5, 10], \"16139\": [1, 1, 5, 5, 5, 5, 5], \"16141\": [9, 9, 9], \"16183\": [1, 2, 8, 8, 8], \"16187\": [2, 5, 5, 5, 10], \"16189\": [1, 1, 5, 5, 5, 5, 5], \"16193\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"16217\": [1, 4, 4, 6, 12], \"16223\": [3, 6, 6, 6, 6], \"16229\": [9, 9, 9], \"16231\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"16249\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"16253\": [2, 5, 5, 5, 10], \"16267\": [1, 4, 4, 6, 12], \"16273\": [3, 6, 6, 6, 6], \"16301\": [3, 6, 6, 6, 6], \"16319\": [3, 12, 12], \"16333\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"16339\": [9, 9, 9], \"16349\": [1, 2, 8, 8, 8], \"16361\": [3, 3, 3, 3, 3, 6, 6], \"16363\": [9, 9, 9], \"16369\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"16381\": [9, 9, 9], \"16411\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"16417\": [3, 6, 6, 6, 6], \"16421\": [2, 5, 5, 5, 10], \"16427\": [2, 5, 5, 5, 10], \"16433\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"16447\": [1, 2, 8, 8, 8], \"16451\": [3, 3, 3, 3, 3, 6, 6], \"16453\": [3, 12, 12], \"16477\": [2, 5, 5, 5, 10], \"16481\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"16487\": [1, 4, 4, 6, 12], \"16493\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"16519\": [1, 2, 8, 8, 8], \"16529\": [9, 9, 9], \"16547\": [1, 2, 8, 8, 8], \"16553\": [1, 2, 8, 8, 8], \"16561\": [3, 6, 6, 6, 6], \"16567\": [2, 5, 5, 5, 10], \"16573\": [3, 6, 6, 6, 6], \"16603\": [3, 12, 12], \"16607\": [1, 2, 8, 8, 8], \"16619\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"16631\": [3, 6, 6, 6, 6], \"16633\": [9, 9, 9], \"16649\": [2, 5, 5, 5, 10], \"16651\": [9, 9, 9], \"16657\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"16661\": [2, 5, 5, 5, 10], \"16673\": [3, 12, 12], \"16691\": [3, 3, 3, 3, 3, 6, 6], \"16693\": [3, 6, 6, 6, 6], \"16699\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"16703\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"16729\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"16741\": [1, 1, 5, 5, 5, 5, 5], \"16747\": [1, 2, 8, 8, 8], \"16759\": [1, 2, 8, 8, 8], \"16763\": [1, 1, 5, 5, 5, 5, 5], \"16787\": [9, 9, 9], \"16811\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3], \"16823\": [1, 4, 4, 6, 12], \"16829\": [3, 6, 6, 6, 6], \"16831\": [3, 6, 6, 6, 6], \"16843\": [9, 9, 9], \"16871\": [2, 5, 5, 5, 10], \"16879\": [3, 3, 3, 3, 3, 6, 6], \"16883\": [1, 2, 8, 8, 8], \"16889\": [3, 6, 6, 6, 6], \"16901\": [1, 4, 4, 6, 12], \"16903\": [2, 5, 5, 5, 10], \"16921\": [3, 6, 6, 6, 6], \"16927\": [1, 2, 8, 8, 8], \"16931\": [1, 2, 8, 8, 8], \"16937\": [3, 12, 12], \"16943\": [3, 12, 12], \"16963\": [3, 6, 6, 6, 6], \"16979\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"16981\": [3, 3, 3, 3, 3, 6, 6], \"16987\": [1, 4, 4, 6, 12], \"16993\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"17011\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"17021\": [1, 4, 4, 6, 12], \"17027\": [9, 9, 9], \"17029\": [9, 9, 9], \"17033\": [1, 1, 5, 5, 5, 5, 5], \"17041\": [1, 2, 8, 8, 8], \"17047\": [2, 5, 5, 5, 10], \"17053\": [1, 2, 8, 8, 8], \"17077\": [9, 9, 9], \"17093\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"17099\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"17107\": [1, 4, 4, 6, 12], \"17117\": [1, 2, 8, 8, 8], \"17123\": [3, 6, 6, 6, 6], \"17137\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"17159\": [2, 5, 5, 5, 10], \"17167\": [1, 1, 5, 5, 5, 5, 5], \"17183\": [9, 9, 9], \"17189\": [3, 12, 12], \"17191\": [1, 1, 5, 5, 5, 5, 5], \"17203\": [1, 4, 4, 6, 12], \"17207\": [3, 6, 6, 6, 6], \"17209\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"17231\": [1, 4, 4, 6, 12], \"17239\": [3, 6, 6, 6, 6], \"17257\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"17291\": [3, 6, 6, 6, 6], \"17293\": [3, 6, 6, 6, 6], \"17299\": [9, 9, 9], \"17317\": [1, 1, 5, 5, 5, 5, 5], \"17321\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"17327\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"17333\": [3, 12, 12], \"17341\": [2, 5, 5, 5, 10], \"17351\": [1, 1, 5, 5, 5, 5, 5], \"17359\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"17377\": [1, 1, 5, 5, 5, 5, 5], \"17383\": [9, 9, 9], \"17387\": [3, 6, 6, 6, 6], \"17389\": [2, 5, 5, 5, 10], \"17393\": [9, 9, 9], \"17401\": [1, 4, 4, 6, 12], \"17417\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"17419\": [9, 9, 9], \"17431\": [9, 9, 9], \"17443\": [9, 9, 9], \"17449\": [9, 9, 9], \"17467\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"17471\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"17477\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"17483\": [2, 5, 5, 5, 10], \"17489\": [1, 1, 5, 5, 5, 5, 5], \"17491\": [1, 1, 5, 5, 5, 5, 5], \"17497\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"17509\": [1, 4, 4, 6, 12], \"17519\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"17539\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"17551\": [3, 12, 12], \"17569\": [2, 5, 5, 5, 10], \"17573\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"17579\": [1, 4, 4, 6, 12], \"17581\": [3, 6, 6, 6, 6], \"17597\": [3, 6, 6, 6, 6], \"17599\": [1, 1, 5, 5, 5, 5, 5], \"17609\": [1, 1, 5, 5, 5, 5, 5], \"17623\": [3, 6, 6, 6, 6], \"17627\": [3, 6, 6, 6, 6], \"17657\": [1, 1, 5, 5, 5, 5, 5], \"17659\": [1, 2, 8, 8, 8], \"17669\": [3, 6, 6, 6, 6], \"17681\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"17683\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"17707\": [1, 1, 5, 5, 5, 5, 5], \"17713\": [9, 9, 9], \"17729\": [1, 4, 4, 6, 12], \"17737\": [3, 6, 6, 6, 6], \"17747\": [2, 5, 5, 5, 10], \"17749\": [2, 5, 5, 5, 10], \"17761\": [1, 2, 8, 8, 8], \"17783\": [1, 1, 5, 5, 5, 5, 5], \"17789\": [1, 4, 4, 6, 12], \"17791\": [3, 3, 3, 3, 3, 6, 6], \"17807\": [1, 2, 8, 8, 8], \"17827\": [9, 9, 9], \"17837\": [1, 2, 8, 8, 8], \"17839\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"17851\": [1, 2, 8, 8, 8], \"17863\": [1, 1, 5, 5, 5, 5, 5], \"17881\": [3, 3, 3, 3, 3, 6, 6], \"17891\": [9, 9, 9], \"17903\": [2, 5, 5, 5, 10], \"17909\": [1, 2, 8, 8, 8], \"17911\": [3, 6, 6, 6, 6], \"17921\": [1, 2, 8, 8, 8], \"17923\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3], \"17929\": [3, 6, 6, 6, 6], \"17939\": [1, 2, 8, 8, 8], \"17957\": [3, 6, 6, 6, 6], \"17959\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"17971\": [1, 4, 4, 6, 12], \"17977\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"17981\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"17987\": [3, 6, 6, 6, 6], \"17989\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"18013\": [1, 1, 5, 5, 5, 5, 5], \"18041\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"18043\": [1, 4, 4, 6, 12], \"18047\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"18049\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"18059\": [3, 12, 12], \"18061\": [3, 6, 6, 6, 6], \"18077\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"18089\": [2, 5, 5, 5, 10], \"18097\": [9, 9, 9], \"18119\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"18121\": [9, 9, 9], \"18127\": [1, 4, 4, 6, 12], \"18131\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"18133\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"18143\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"18149\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"18169\": [1, 4, 4, 6, 12], \"18181\": [1, 2, 8, 8, 8], \"18191\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"18199\": [1, 2, 8, 8, 8], \"18211\": [3, 12, 12], \"18217\": [9, 9, 9], \"18223\": [1, 4, 4, 6, 12], \"18229\": [9, 9, 9], \"18233\": [2, 5, 5, 5, 10], \"18251\": [3, 6, 6, 6, 6], \"18253\": [1, 4, 4, 6, 12], \"18257\": [1, 1, 5, 5, 5, 5, 5], \"18269\": [9, 9, 9], \"18287\": [1, 4, 4, 6, 12], \"18289\": [9, 9, 9], \"18301\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"18307\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"18311\": [1, 1, 5, 5, 5, 5, 5], \"18313\": [3, 6, 6, 6, 6], \"18329\": [3, 3, 3, 3, 3, 6, 6], \"18341\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"18353\": [1, 2, 8, 8, 8], \"18367\": [2, 5, 5, 5, 10], \"18371\": [1, 2, 8, 8, 8], \"18379\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"18397\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"18401\": [3, 6, 6, 6, 6], \"18413\": [1, 4, 4, 6, 12], \"18427\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"18433\": [3, 6, 6, 6, 6], \"18439\": [9, 9, 9], \"18443\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"18451\": [1, 1, 5, 5, 5, 5, 5], \"18457\": [1, 1, 5, 5, 5, 5, 5], \"18461\": [3, 6, 6, 6, 6], \"18481\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"18493\": [1, 1, 5, 5, 5, 5, 5], \"18503\": [9, 9, 9], \"18517\": [9, 9, 9], \"18521\": [2, 5, 5, 5, 10], \"18523\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"18539\": [1, 1, 5, 5, 5, 5, 5], \"18541\": [1, 4, 4, 6, 12], \"18553\": [9, 9, 9], \"18583\": [1, 2, 8, 8, 8], \"18587\": [1, 2, 8, 8, 8], \"18593\": [9, 9, 9], \"18617\": [1, 2, 8, 8, 8], \"18637\": [3, 12, 12], \"18661\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"18671\": [2, 5, 5, 5, 10], \"18679\": [1, 2, 8, 8, 8], \"18691\": [3, 3, 3, 3, 3, 6, 6], \"18701\": [1, 1, 5, 5, 5, 5, 5], \"18713\": [3, 6, 6, 6, 6], \"18719\": [3, 6, 6, 6, 6], \"18731\": [2, 5, 5, 5, 10], \"18743\": [9, 9, 9], \"18749\": [2, 5, 5, 5, 10], \"18757\": [1, 4, 4, 6, 12], \"18773\": [3, 6, 6, 6, 6], \"18787\": [9, 9, 9], \"18793\": [3, 6, 6, 6, 6], \"18797\": [1, 2, 8, 8, 8], \"18803\": [1, 2, 8, 8, 8], \"18839\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"18859\": [9, 9, 9], \"18869\": [1, 2, 8, 8, 8], \"18899\": [2, 5, 5, 5, 10], \"18911\": [1, 4, 4, 6, 12], \"18913\": [3, 6, 6, 6, 6], \"18917\": [1, 1, 5, 5, 5, 5, 5], \"18919\": [1, 4, 4, 6, 12], \"18947\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"18959\": [3, 12, 12], \"18973\": [3, 3, 3, 3, 3, 6, 6], \"18979\": [1, 4, 4, 6, 12], \"19001\": [2, 5, 5, 5, 10], \"19009\": [9, 9, 9], \"19013\": [1, 2, 8, 8, 8], \"19031\": [3, 6, 6, 6, 6], \"19037\": [1, 2, 8, 8, 8], \"19051\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"19069\": [1, 2, 8, 8, 8], \"19073\": [1, 2, 8, 8, 8], \"19079\": [3, 12, 12], \"19081\": [3, 6, 6, 6, 6], \"19087\": [1, 2, 8, 8, 8], \"19121\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"19139\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"19141\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"19157\": [9, 9, 9], \"19163\": [9, 9, 9], \"19181\": [9, 9, 9], \"19183\": [3, 12, 12], \"19207\": [2, 5, 5, 5, 10], \"19211\": [3, 6, 6, 6, 6], \"19213\": [9, 9, 9], \"19219\": [3, 6, 6, 6, 6], \"19231\": [9, 9, 9], \"19237\": [2, 5, 5, 5, 10], \"19249\": [1, 2, 8, 8, 8], \"19259\": [3, 6, 6, 6, 6], \"19267\": [2, 5, 5, 5, 10], \"19273\": [2, 5, 5, 5, 10], \"19289\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"19301\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"19309\": [2, 5, 5, 5, 10], \"19319\": [2, 5, 5, 5, 10], \"19333\": [9, 9, 9], \"19373\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"19379\": [3, 3, 3, 3, 3, 6, 6], \"19381\": [9, 9, 9], \"19387\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"19391\": [1, 2, 8, 8, 8], \"19403\": [1, 2, 8, 8, 8], \"19417\": [3, 6, 6, 6, 6], \"19421\": [3, 6, 6, 6, 6], \"19423\": [2, 5, 5, 5, 10], \"19427\": [1, 4, 4, 6, 12], \"19429\": [2, 5, 5, 5, 10], \"19433\": [9, 9, 9], \"19441\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"19447\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"19457\": [9, 9, 9], \"19463\": [3, 12, 12], \"19469\": [9, 9, 9], \"19471\": [1, 4, 4, 6, 12], \"19477\": [3, 12, 12], \"19483\": [9, 9, 9], \"19489\": [3, 12, 12], \"19501\": [3, 3, 3, 3, 3, 6, 6], \"19507\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"19531\": [3, 12, 12], \"19541\": [3, 12, 12], \"19543\": [3, 3, 3, 3, 3, 6, 6], \"19553\": [9, 9, 9], \"19559\": [1, 2, 8, 8, 8], \"19571\": [2, 5, 5, 5, 10], \"19577\": [9, 9, 9], \"19583\": [3, 6, 6, 6, 6], \"19597\": [3, 12, 12], \"19603\": [1, 1, 5, 5, 5, 5, 5], \"19609\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"19661\": [1, 1, 5, 5, 5, 5, 5], \"19681\": [2, 5, 5, 5, 10], \"19687\": [1, 1, 5, 5, 5, 5, 5], \"19697\": [1, 2, 8, 8, 8], \"19699\": [1, 1, 5, 5, 5, 5, 5], \"19709\": [9, 9, 9], \"19717\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"19727\": [1, 1, 5, 5, 5, 5, 5], \"19739\": [1, 1, 5, 5, 5, 5, 5], \"19751\": [3, 12, 12], \"19753\": [2, 5, 5, 5, 10], \"19759\": [2, 5, 5, 5, 10], \"19763\": [3, 6, 6, 6, 6], \"19777\": [3, 12, 12], \"19793\": [2, 5, 5, 5, 10], \"19801\": [1, 1, 5, 5, 5, 5, 5], \"19813\": [9, 9, 9], \"19819\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"19841\": [3, 12, 12], \"19843\": [3, 6, 6, 6, 6], \"19853\": [3, 6, 6, 6, 6], \"19861\": [1, 2, 8, 8, 8], \"19867\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"19889\": [1, 2, 8, 8, 8], \"19891\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"19913\": [2, 5, 5, 5, 10], \"19919\": [1, 4, 4, 6, 12], \"19927\": [3, 6, 6, 6, 6], \"19937\": [3, 6, 6, 6, 6], \"19949\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"19961\": [1, 2, 8, 8, 8], \"19963\": [3, 6, 6, 6, 6], \"19973\": [9, 9, 9], \"19979\": [3, 3, 3, 3, 3, 6, 6], \"19991\": [3, 12, 12], \"19993\": [1, 2, 8, 8, 8], \"19997\": [3, 6, 6, 6, 6], \"20011\": [1, 4, 4, 6, 12], \"20021\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"20023\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"20029\": [2, 5, 5, 5, 10], \"20047\": [1, 2, 8, 8, 8], \"20051\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"20063\": [3, 6, 6, 6, 6], \"20071\": [1, 1, 5, 5, 5, 5, 5], \"20089\": [3, 3, 3, 3, 3, 6, 6], \"20101\": [3, 3, 3, 3, 3, 6, 6], \"20107\": [9, 9, 9], \"20113\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"20117\": [9, 9, 9], \"20123\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"20129\": [3, 12, 12], \"20143\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"20147\": [3, 3, 3, 3, 3, 6, 6], \"20149\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"20161\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2], \"20173\": [3, 12, 12], \"20177\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"20183\": [9, 9, 9], \"20201\": [1, 2, 8, 8, 8], \"20219\": [1, 2, 8, 8, 8], \"20231\": [1, 2, 8, 8, 8], \"20233\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"20249\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"20261\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"20269\": [3, 6, 6, 6, 6], \"20287\": [3, 6, 6, 6, 6], \"20297\": [1, 2, 8, 8, 8], \"20323\": [1, 2, 8, 8, 8], \"20327\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"20333\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"20341\": [1, 1, 5, 5, 5, 5, 5], \"20347\": [2, 5, 5, 5, 10], \"20353\": [2, 5, 5, 5, 10], \"20357\": [1, 2, 8, 8, 8], \"20359\": [3, 3, 3, 3, 3, 6, 6], \"20369\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"20389\": [3, 12, 12], \"20393\": [3, 6, 6, 6, 6], \"20399\": [1, 1, 5, 5, 5, 5, 5], \"20407\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"20411\": [1, 1, 5, 5, 5, 5, 5], \"20431\": [1, 4, 4, 6, 12], \"20441\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"20443\": [2, 5, 5, 5, 10], \"20477\": [2, 5, 5, 5, 10], \"20479\": [2, 5, 5, 5, 10], \"20483\": [2, 5, 5, 5, 10], \"20507\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3], \"20509\": [3, 12, 12], \"20521\": [1, 2, 8, 8, 8], \"20533\": [3, 6, 6, 6, 6], \"20543\": [3, 12, 12], \"20549\": [2, 5, 5, 5, 10], \"20551\": [1, 4, 4, 6, 12], \"20563\": [3, 6, 6, 6, 6], \"20593\": [1, 1, 5, 5, 5, 5, 5], \"20599\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"20611\": [9, 9, 9], \"20627\": [1, 4, 4, 6, 12], \"20639\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"20641\": [2, 5, 5, 5, 10], \"20663\": [2, 5, 5, 5, 10], \"20681\": [3, 12, 12], \"20693\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"20707\": [3, 6, 6, 6, 6], \"20717\": [2, 5, 5, 5, 10], \"20719\": [3, 3, 3, 3, 3, 6, 6], \"20731\": [9, 9, 9], \"20743\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"20747\": [3, 12, 12], \"20749\": [1, 1, 5, 5, 5, 5, 5], \"20753\": [1, 4, 4, 6, 12], \"20759\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"20771\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"20773\": [2, 5, 5, 5, 10], \"20789\": [3, 6, 6, 6, 6], \"20807\": [9, 9, 9], \"20809\": [3, 12, 12], \"20849\": [3, 12, 12], \"20857\": [1, 1, 5, 5, 5, 5, 5], \"20873\": [3, 6, 6, 6, 6], \"20879\": [3, 6, 6, 6, 6], \"20887\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"20897\": [3, 6, 6, 6, 6], \"20899\": [2, 5, 5, 5, 10], \"20903\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"20921\": [3, 6, 6, 6, 6], \"20929\": [1, 2, 8, 8, 8], \"20939\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"20947\": [2, 5, 5, 5, 10], \"20959\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"20963\": [9, 9, 9], \"20981\": [1, 4, 4, 6, 12], \"20983\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"21001\": [1, 4, 4, 6, 12], \"21011\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"21013\": [1, 4, 4, 6, 12], \"21017\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"21019\": [1, 2, 8, 8, 8], \"21023\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"21031\": [3, 12, 12], \"21059\": [3, 6, 6, 6, 6], \"21061\": [1, 2, 8, 8, 8], \"21067\": [3, 6, 6, 6, 6], \"21089\": [3, 3, 3, 3, 3, 6, 6], \"21101\": [1, 4, 4, 6, 12], \"21107\": [3, 6, 6, 6, 6], \"21121\": [1, 4, 4, 6, 12], \"21139\": [1, 4, 4, 6, 12], \"21143\": [1, 2, 8, 8, 8], \"21149\": [2, 5, 5, 5, 10], \"21157\": [2, 5, 5, 5, 10], \"21163\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"21169\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"21179\": [1, 2, 8, 8, 8], \"21187\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"21191\": [2, 5, 5, 5, 10], \"21193\": [1, 2, 8, 8, 8], \"21211\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"21221\": [2, 5, 5, 5, 10], \"21227\": [3, 12, 12], \"21247\": [3, 12, 12], \"21269\": [1, 1, 5, 5, 5, 5, 5], \"21277\": [1, 2, 8, 8, 8], \"21283\": [2, 5, 5, 5, 10], \"21313\": [3, 12, 12], \"21317\": [2, 5, 5, 5, 10], \"21319\": [1, 2, 8, 8, 8], \"21323\": [1, 2, 8, 8, 8], \"21341\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"21347\": [1, 2, 8, 8, 8], \"21377\": [9, 9, 9], \"21379\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"21383\": [2, 5, 5, 5, 10], \"21391\": [3, 12, 12], \"21397\": [2, 5, 5, 5, 10], \"21401\": [3, 6, 6, 6, 6], \"21407\": [1, 1, 5, 5, 5, 5, 5], \"21419\": [3, 6, 6, 6, 6], \"21433\": [9, 9, 9], \"21467\": [3, 3, 3, 3, 3, 6, 6], \"21481\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"21487\": [1, 1, 5, 5, 5, 5, 5], \"21491\": [3, 12, 12], \"21493\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"21499\": [3, 6, 6, 6, 6], \"21503\": [1, 1, 5, 5, 5, 5, 5], \"21517\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"21521\": [1, 2, 8, 8, 8], \"21523\": [3, 6, 6, 6, 6], \"21529\": [1, 1, 5, 5, 5, 5, 5], \"21557\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"21559\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"21563\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"21569\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"21577\": [3, 6, 6, 6, 6], \"21587\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"21589\": [3, 12, 12], \"21599\": [9, 9, 9], \"21601\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"21611\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"21613\": [3, 12, 12], \"21617\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"21647\": [3, 6, 6, 6, 6], \"21649\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"21661\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"21673\": [2, 5, 5, 5, 10], \"21683\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"21701\": [9, 9, 9], \"21713\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"21727\": [1, 2, 8, 8, 8], \"21737\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"21739\": [3, 3, 3, 3, 3, 6, 6], \"21751\": [1, 4, 4, 6, 12], \"21757\": [1, 2, 8, 8, 8], \"21767\": [1, 4, 4, 6, 12], \"21773\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"21787\": [1, 4, 4, 6, 12], \"21799\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"21803\": [3, 12, 12], \"21817\": [1, 1, 5, 5, 5, 5, 5], \"21821\": [3, 6, 6, 6, 6], \"21839\": [1, 1, 5, 5, 5, 5, 5], \"21841\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"21851\": [9, 9, 9], \"21859\": [1, 2, 8, 8, 8], \"21863\": [2, 5, 5, 5, 10], \"21871\": [1, 2, 8, 8, 8], \"21881\": [1, 2, 8, 8, 8], \"21893\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"21911\": [2, 5, 5, 5, 10], \"21929\": [3, 3, 3, 3, 3, 6, 6], \"21937\": [1, 4, 4, 6, 12], \"21943\": [9, 9, 9], \"21961\": [1, 2, 8, 8, 8], \"21977\": [1, 4, 4, 6, 12], \"21991\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"21997\": [3, 6, 6, 6, 6], \"22003\": [1, 4, 4, 6, 12], \"22013\": [1, 4, 4, 6, 12], \"22027\": [2, 5, 5, 5, 10], \"22031\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"22037\": [2, 5, 5, 5, 10], \"22039\": [3, 12, 12], \"22051\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"22063\": [9, 9, 9], \"22067\": [9, 9, 9], \"22073\": [3, 12, 12], \"22079\": [1, 2, 8, 8, 8], \"22091\": [9, 9, 9], \"22093\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"22109\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"22111\": [9, 9, 9], \"22123\": [9, 9, 9], \"22129\": [1, 2, 8, 8, 8], \"22133\": [3, 6, 6, 6, 6], \"22147\": [1, 2, 8, 8, 8], \"22153\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"22157\": [1, 4, 4, 6, 12], \"22159\": [3, 6, 6, 6, 6], \"22171\": [2, 5, 5, 5, 10], \"22189\": [1, 2, 8, 8, 8], \"22193\": [9, 9, 9], \"22229\": [9, 9, 9], \"22247\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"22259\": [1, 4, 4, 6, 12], \"22271\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"22273\": [1, 1, 5, 5, 5, 5, 5], \"22277\": [1, 4, 4, 6, 12], \"22279\": [9, 9, 9], \"22283\": [9, 9, 9], \"22291\": [1, 4, 4, 6, 12], \"22303\": [3, 6, 6, 6, 6], \"22307\": [3, 6, 6, 6, 6], \"22343\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"22349\": [1, 1, 5, 5, 5, 5, 5], \"22367\": [1, 2, 8, 8, 8], \"22369\": [1, 4, 4, 6, 12], \"22381\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"22391\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"22397\": [2, 5, 5, 5, 10], \"22409\": [3, 6, 6, 6, 6], \"22433\": [3, 3, 3, 3, 3, 6, 6], \"22441\": [3, 6, 6, 6, 6], \"22447\": [9, 9, 9], \"22453\": [3, 3, 3, 3, 3, 6, 6], \"22469\": [3, 12, 12], \"22481\": [3, 6, 6, 6, 6], \"22483\": [9, 9, 9], \"22501\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"22511\": [1, 2, 8, 8, 8], \"22531\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"22541\": [1, 1, 5, 5, 5, 5, 5], \"22543\": [3, 6, 6, 6, 6], \"22549\": [9, 9, 9], \"22567\": [1, 4, 4, 6, 12], \"22571\": [3, 6, 6, 6, 6], \"22573\": [3, 12, 12], \"22613\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"22619\": [3, 12, 12], \"22621\": [2, 5, 5, 5, 10], \"22637\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"22639\": [1, 1, 5, 5, 5, 5, 5], \"22643\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"22651\": [1, 1, 5, 5, 5, 5, 5], \"22669\": [9, 9, 9], \"22679\": [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3], \"22691\": [9, 9, 9], \"22697\": [9, 9, 9], \"22699\": [9, 9, 9], \"22709\": [1, 2, 8, 8, 8], \"22717\": [3, 6, 6, 6, 6], \"22721\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"22727\": [9, 9, 9], \"22739\": [3, 12, 12], \"22741\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"22751\": [3, 12, 12], \"22769\": [3, 6, 6, 6, 6], \"22777\": [1, 4, 4, 6, 12], \"22783\": [1, 1, 5, 5, 5, 5, 5], \"22787\": [2, 5, 5, 5, 10], \"22807\": [3, 12, 12], \"22811\": [3, 6, 6, 6, 6], \"22817\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"22853\": [1, 1, 5, 5, 5, 5, 5], \"22859\": [2, 5, 5, 5, 10], \"22861\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"22871\": [2, 5, 5, 5, 10], \"22877\": [2, 5, 5, 5, 10], \"22901\": [1, 2, 8, 8, 8], \"22907\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"22921\": [3, 3, 3, 3, 3, 6, 6], \"22937\": [1, 4, 4, 6, 12], \"22943\": [2, 5, 5, 5, 10], \"22961\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"22963\": [9, 9, 9], \"22973\": [9, 9, 9], \"22993\": [3, 12, 12], \"23003\": [1, 2, 8, 8, 8], \"23011\": [9, 9, 9], \"23017\": [2, 5, 5, 5, 10], \"23021\": [3, 6, 6, 6, 6], \"23027\": [9, 9, 9], \"23029\": [3, 6, 6, 6, 6], \"23039\": [1, 1, 5, 5, 5, 5, 5], \"23041\": [2, 5, 5, 5, 10], \"23053\": [2, 5, 5, 5, 10], \"23057\": [1, 4, 4, 6, 12], \"23059\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"23063\": [3, 12, 12], \"23071\": [1, 2, 8, 8, 8], \"23081\": [3, 3, 3, 3, 3, 6, 6], \"23087\": [1, 4, 4, 6, 12], \"23099\": [1, 4, 4, 6, 12], \"23117\": [3, 6, 6, 6, 6], \"23131\": [3, 12, 12], \"23143\": [3, 6, 6, 6, 6], \"23159\": [3, 12, 12], \"23167\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"23173\": [3, 6, 6, 6, 6], \"23189\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"23197\": [3, 12, 12], \"23201\": [1, 1, 5, 5, 5, 5, 5], \"23203\": [2, 5, 5, 5, 10], \"23209\": [2, 5, 5, 5, 10], \"23227\": [2, 5, 5, 5, 10], \"23251\": [1, 2, 8, 8, 8], \"23269\": [3, 12, 12], \"23279\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"23291\": [3, 12, 12], \"23293\": [1, 1, 5, 5, 5, 5, 5], \"23297\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"23311\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"23321\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"23327\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"23333\": [3, 12, 12], \"23339\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"23357\": [1, 2, 8, 8, 8], \"23369\": [2, 5, 5, 5, 10], \"23371\": [3, 3, 3, 3, 3, 6, 6], \"23399\": [1, 2, 8, 8, 8], \"23417\": [1, 1, 5, 5, 5, 5, 5], \"23431\": [3, 6, 6, 6, 6], \"23447\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"23459\": [1, 4, 4, 6, 12], \"23473\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"23497\": [1, 4, 4, 6, 12], \"23509\": [9, 9, 9], \"23531\": [1, 4, 4, 6, 12], \"23537\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"23539\": [3, 12, 12], \"23549\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"23557\": [3, 12, 12], \"23561\": [3, 12, 12], \"23563\": [3, 3, 3, 3, 3, 6, 6], \"23567\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"23581\": [1, 1, 5, 5, 5, 5, 5], \"23593\": [9, 9, 9], \"23599\": [1, 2, 8, 8, 8], \"23603\": [1, 1, 5, 5, 5, 5, 5], \"23609\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"23623\": [1, 1, 5, 5, 5, 5, 5], \"23627\": [1, 1, 5, 5, 5, 5, 5], \"23629\": [3, 6, 6, 6, 6], \"23633\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"23663\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"23669\": [3, 6, 6, 6, 6], \"23671\": [1, 4, 4, 6, 12], \"23677\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"23687\": [1, 2, 8, 8, 8], \"23689\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"23719\": [2, 5, 5, 5, 10], \"23741\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"23743\": [9, 9, 9], \"23747\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"23753\": [1, 2, 8, 8, 8], \"23761\": [3, 6, 6, 6, 6], \"23767\": [3, 6, 6, 6, 6], \"23773\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"23789\": [1, 4, 4, 6, 12], \"23801\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"23813\": [1, 2, 8, 8, 8], \"23819\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"23827\": [3, 12, 12], \"23831\": [9, 9, 9], \"23833\": [1, 4, 4, 6, 12], \"23857\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"23869\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"23873\": [1, 2, 8, 8, 8], \"23879\": [1, 2, 8, 8, 8], \"23887\": [1, 2, 8, 8, 8], \"23893\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"23899\": [9, 9, 9], \"23909\": [1, 4, 4, 6, 12], \"23911\": [3, 3, 3, 3, 3, 6, 6], \"23917\": [3, 3, 3, 3, 3, 6, 6], \"23929\": [1, 2, 8, 8, 8], \"23957\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"23971\": [1, 1, 5, 5, 5, 5, 5], \"23977\": [3, 6, 6, 6, 6], \"23981\": [9, 9, 9], \"23993\": [1, 1, 5, 5, 5, 5, 5], \"24001\": [3, 6, 6, 6, 6], \"24007\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"24019\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"24023\": [9, 9, 9], \"24029\": [3, 6, 6, 6, 6], \"24043\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"24049\": [9, 9, 9], \"24061\": [3, 12, 12], \"24071\": [2, 5, 5, 5, 10], \"24077\": [9, 9, 9], \"24083\": [2, 5, 5, 5, 10], \"24091\": [1, 1, 5, 5, 5, 5, 5], \"24097\": [2, 5, 5, 5, 10], \"24103\": [1, 4, 4, 6, 12], \"24107\": [1, 2, 8, 8, 8], \"24109\": [1, 1, 5, 5, 5, 5, 5], \"24113\": [1, 1, 5, 5, 5, 5, 5], \"24121\": [3, 6, 6, 6, 6], \"24133\": [9, 9, 9], \"24137\": [1, 2, 8, 8, 8], \"24151\": [3, 3, 3, 3, 3, 6, 6], \"24169\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"24179\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"24181\": [9, 9, 9], \"24197\": [9, 9, 9], \"24203\": [3, 12, 12], \"24223\": [1, 1, 5, 5, 5, 5, 5], \"24229\": [3, 6, 6, 6, 6], \"24239\": [3, 12, 12], \"24247\": [3, 6, 6, 6, 6], \"24251\": [1, 1, 5, 5, 5, 5, 5], \"24281\": [1, 1, 5, 5, 5, 5, 5], \"24317\": [1, 2, 8, 8, 8], \"24329\": [1, 4, 4, 6, 12], \"24337\": [2, 5, 5, 5, 10], \"24359\": [3, 12, 12], \"24371\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"24373\": [3, 12, 12], \"24379\": [1, 2, 8, 8, 8], \"24391\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"24407\": [3, 6, 6, 6, 6], \"24413\": [9, 9, 9], \"24419\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"24421\": [1, 1, 1, 4, 4, 4, 4, 4, 4], \"24439\": [2, 5, 5, 5, 10], \"24443\": [9, 9, 9], \"24469\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"24473\": [2, 5, 5, 5, 10], \"24481\": [1, 1, 5, 5, 5, 5, 5], \"24499\": [3, 12, 12], \"24509\": [1, 2, 8, 8, 8], \"24517\": [1, 1, 5, 5, 5, 5, 5], \"24527\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"24533\": [3, 6, 6, 6, 6], \"24547\": [1, 2, 8, 8, 8], \"24551\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"24571\": [1, 1, 1, 2, 2, 2, 6, 6, 6], \"24593\": [9, 9, 9], \"24611\": [3, 6, 6, 6, 6], \"24623\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"24631\": [1, 4, 4, 6, 12], \"24659\": [1, 2, 8, 8, 8], \"24671\": [1, 1, 5, 5, 5, 5, 5], \"24677\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"24683\": [2, 5, 5, 5, 10], \"24691\": [1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4], \"24697\": [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"24709\": [3, 6, 6, 6, 6], \"24733\": [2, 5, 5, 5, 10], \"24749\": [1, 4, 4, 6, 12], \"24763\": [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], \"24767\": [1, 4, 4, 6, 12], \"24781\": [1, 2, 8, 8, 8], \"24793\": [1, 2, 2, 2, 2, 3, 3, 6, 6], \"24799\": [3, 3, 3, 3, 3, 3, 3, 3, 3], \"24809\": [3, 12, 12], \"24821\": [1, 1, 5, 5, 5, 5, 5], \"24841\": [1, 2, 8, 8, 8], \"24847\": [2, 5, 5, 5, 10], \"24851\": [9, 9, 9], \"24859\": [2, 5, 5, 5, 10], \"24877\": [1, 1, 5, 5, 5, 5, 5], \"24889\": [1, 2, 8, 8, 8], \"24907\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"24917\": [3, 6, 6, 6, 6], \"24919\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"24923\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"24943\": [1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 6], \"24953\": [1, 1, 5, 5, 5, 5, 5], \"24967\": [1, 2, 8, 8, 8], \"24971\": [3, 6, 6, 6, 6], \"24977\": [1, 2, 8, 8, 8], \"24979\": [1, 1, 5, 5, 5, 5, 5], \"24989\": [3, 6, 6, 6, 6], \"198839\": [1, 2, 2, 2, 4, 4, 4, 4, 4], \"652081\": [1, 5, 5, 5, 5]}" }, { "path": "anc/code/1.3.8/classgroup/expected/bound.out", "size_bytes": 677, "sha256": "878701bda7b4833c8cbec23b6e3efd8549870aaefc92e0ec2bbe95fadaf9a225", "mode": 420, "encoding": "utf-8", "text": "support R = 500000000 T = log R; principal bound C = 1000000\nprime ideals of norm < R: 26365548 (degree-one ideals over p > sqrt(R): 26360341; over small/bad p: 5207)\nsha256 of the root-count bytes: f1faf51bbcf2562ad0f2ffb8c095dd6855701a15a49c0f82644e582cd0cccbaa\nprime ideals of norm <= C (all proved principal by check_witnesses.py): 77813\nprime sums done in 28s\nC_inf = [-1.1614608353053368460 +/- 2.71e-20]\narchimedean part C_inf - int(1-f)W = [-1.215796113312597138688253 +/- 4.43e-25]\nprime part = [1.268980762763662101585279 +/- 1.73e-25]\nB^-(f) = [0.0531846494510649628970266145944 +/- 4.60e-32]\nB^-(f) > 0 RIGOROUSLY: True\n\nreal\t0m37.486s\nuser\t0m36.362s\nsys\t0m0.797s\n" }, { "path": "anc/code/1.3.8/classgroup/expected/check_witnesses.log", "size_bytes": 500, "sha256": "234d179b9733635789dd948a8f62212d1888c261ad85fb6f976c5ce54d11fd6b", "mode": 420, "encoding": "utf-8", "text": "checked up to p = 2 ideals 4 0s\nchecked up to p = 104743 ideals 10311 15s\nchecked up to p = 224743 ideals 20285 31s\nchecked up to p = 350381 ideals 30188 46s\nchecked up to p = 479939 ideals 40032 61s\nchecked up to p = 611957 ideals 50053 76s\nchecked up to p = 746777 ideals 59763 91s\nchecked up to p = 882389 ideals 69476 107s\nPARI 2.17.4: ALL 77813 PRIME IDEALS OF NORM <= 1000000 ARE PRINCIPAL (generators checked exactly); by degree {\"1\": 77583, \"2\": 193, \"3\": 18, \"5\": 15, \"6\": 3, \"10\": 1}; 120s\n" }, { "path": "anc/code/1.3.8/classgroup/expected/check_witnesses_pari2.15.4.log", "size_bytes": 500, "sha256": "14c35170d5acdcec4834c66b1248aad989fd49ccf9d1bd08b4e0750703423406", "mode": 420, "encoding": "utf-8", "text": "checked up to p = 2 ideals 4 0s\nchecked up to p = 104743 ideals 10311 15s\nchecked up to p = 224743 ideals 20285 31s\nchecked up to p = 350381 ideals 30188 46s\nchecked up to p = 479939 ideals 40032 61s\nchecked up to p = 611957 ideals 50053 76s\nchecked up to p = 746777 ideals 59763 92s\nchecked up to p = 882389 ideals 69476 107s\nPARI 2.15.4: ALL 77813 PRIME IDEALS OF NORM <= 1000000 ARE PRINCIPAL (generators checked exactly); by degree {\"1\": 77583, \"2\": 193, \"3\": 18, \"5\": 15, \"6\": 3, \"10\": 1}; 121s\n" }, { "path": "anc/code/1.3.8/classgroup/expected/crosscheck_counts.out", "size_bytes": 97, "sha256": "7af25d18c5cd99e31592b32279832250fd0373cf0f2a7634561fe7af96598871", "mode": 420, "encoding": "utf-8", "text": "root counts of nroots.c confirmed for 299996 primes with FLINT (5905 also with PARI polrootsmod)\n" }, { "path": "anc/code/1.3.8/classgroup/expected/gen_witnesses.log", "size_bytes": 1352, "sha256": "fb57bbd8008ddbe5fcc2700b2fe5760ada021a7cdc94a892cb66a6d79d6cd298", "mode": 420, "encoding": "utf-8", "text": "bnfinit (proposer only) 1.9s cyc []\nBLOCK 2 50001 ideals 5322 total_this_run 5322 elapsed 61s\nBLOCK 50002 100001 ideals 4598 total_this_run 9920 elapsed 116s\nBLOCK 100002 150001 ideals 4337 total_this_run 14257 elapsed 167s\nBLOCK 150002 200001 ideals 4122 total_this_run 18379 elapsed 217s\nBLOCK 200002 250001 ideals 3917 total_this_run 22296 elapsed 264s\nBLOCK 250002 300001 ideals 3781 total_this_run 26077 elapsed 310s\nBLOCK 300002 350001 ideals 4083 total_this_run 30160 elapsed 360s\nBLOCK 350002 400001 ideals 3665 total_this_run 33825 elapsed 405s\nBLOCK 400002 450001 ideals 3910 total_this_run 37735 elapsed 453s\nBLOCK 450002 500001 ideals 3883 total_this_run 41618 elapsed 501s\nBLOCK 500002 550001 ideals 3728 total_this_run 45346 elapsed 546s\nBLOCK 550002 600001 ideals 3794 total_this_run 49140 elapsed 594s\nBLOCK 600002 650001 ideals 3724 total_this_run 52864 elapsed 640s\nBLOCK 650002 700001 ideals 3554 total_this_run 56418 elapsed 684s\nBLOCK 700002 750001 ideals 3593 total_this_run 60011 elapsed 729s\nBLOCK 750002 800001 ideals 3619 total_this_run 63630 elapsed 774s\nBLOCK 800002 850001 ideals 3504 total_this_run 67134 elapsed 817s\nBLOCK 850002 900001 ideals 3588 total_this_run 70722 elapsed 862s\nBLOCK 900002 950001 ideals 3615 total_this_run 74337 elapsed 907s\nBLOCK 950002 1000000 ideals 3476 total_this_run 77813 elapsed 951s\nDONE\n" }, { "path": "anc/code/1.3.8/classgroup/expected/nroots_100000001_200000000.out", "size_bytes": 79, "sha256": "bd3dea41a80f28e263c309cd3d81850f48e1c242335c679f51ec608e8189548e", "mode": 420, "encoding": "utf-8", "text": "RANGE 100000001 200000000 PRIMES 5317482 SUMROOTS 5318663 FNV 02b9ba66e6678312\n" }, { "path": "anc/code/1.3.8/classgroup/expected/nroots_200000001_300000000.out", "size_bytes": 79, "sha256": "96cd5931090cd46f77bfa2fbb941e20f89a21025d06761197e0fff67e278f40b", "mode": 420, "encoding": "utf-8", "text": "RANGE 200000001 300000000 PRIMES 5173388 SUMROOTS 5174066 FNV 2e08df68f2d08d4e\n" }, { "path": "anc/code/1.3.8/classgroup/expected/nroots_2_100000000.out", "size_bytes": 71, "sha256": "f97395412bd705e1f9587fac0fb7d5a613a3accf2715e92dd495f02822b37281", "mode": 420, "encoding": "utf-8", "text": "RANGE 2 100000000 PRIMES 5761455 SUMROOTS 5757919 FNV 023369452f99ad80\n" }, { "path": "anc/code/1.3.8/classgroup/expected/nroots_300000001_400000000.out", "size_bytes": 79, "sha256": "0ad0a6895423d7ed47c846af30cc013310583e914c4455a506ab6b553f8af22e", "mode": 420, "encoding": "utf-8", "text": "RANGE 300000001 400000000 PRIMES 5084001 SUMROOTS 5088335 FNV 7a515e0134483289\n" }, { "path": "anc/code/1.3.8/classgroup/expected/nroots_400000001_499999999.out", "size_bytes": 79, "sha256": "8ec61a003ec6aaa5871cc195979da0f4075c36c15322357034d9a700a971e89a", "mode": 420, "encoding": "utf-8", "text": "RANGE 400000001 499999999 PRIMES 5019541 SUMROOTS 5023814 FNV b14b37bf2400f85b\n" }, { "path": "anc/code/1.3.8/curve/expected/curve.out", "size_bytes": 1776, "sha256": "d160a881936ca1fd928859a278a25269059b991fb771a76857072f45104aac6d", "mode": 420, "encoding": "utf-8", "text": "(a) x=0: -y**3*z | y=0: (1, [(Poly(x, x, domain='ZZ[z]'), 1), (Poly(x + z, x, domain='ZZ[z]'), 1), (Poly(x**2 - z*x + z**2, x, domain='ZZ[z]'), 1)]) | z=0: x**4\n F_x = 4*x**3 + y + 1 F_y = x - 3*y**2\n Groebner basis of (F, F_x, F_y) over F_3: [1]\n Groebner basis of (F, F_x, F_y) over F_5: [1]\n after x = 3y^2: 108*y**6 + y + 1 | (1, [(Poly(y, y, domain='ZZ'), 2), (Poly(81*y**6 + 2*y + 3, y, domain='ZZ'), 1)])\n 4*(81y^6+2y+3) - 3*(108y^6+y+1) = -5*y - 9\n 108y^6+y+1 at y=-9/5 = 57383128/15625 = {2: 3, 11: 1, 652081: 1} / {5: 6}\n(c) p=11: singular point (x,y)=(4,7) mod p; F,Fx,Fy mod p = [0, 0, 0]; Hessian det mod p = 9 (nonzero: ordinary node); F(lift) mod p^2 = 66 (nonzero: plane model regular at the node)\n(c) p=652081: singular point (x,y)=(573841,521663) mod p; F,Fx,Fy mod p = [0, 0, 0]; Hessian det mod p = 217362 (nonzero: ordinary node); F(lift) mod p^2 = 91909512788 (nonzero: plane model regular at the node)\n(d) p= 3 N=[3, 9, 27] L=[1, -1, 0, 0, 0, -9, 27] #J(F_p)=18 = {2: 1, 3: 2}\n(d) p= 5 N=[5, 29, 119] L=[1, -1, 2, -4, 10, -25, 125] #J(F_p)=108 = {2: 2, 3: 3}\n(d) p= 7 N=[7, 67, 352] L=[1, -1, 9, -6, 63, -49, 343] #J(F_p)=360 = {2: 3, 3: 2, 5: 1}\n(d) p=17 N=[29, 313, 4856] L=[1, 11, 72, 329, 1224, 3179, 4913] #J(F_p)=9729 = {3: 2, 23: 1, 47: 1}\n(d) p=29 N=[27, 871, 23904] L=[1, -3, 19, -210, 551, -2523, 24389] #J(F_p)=22224 = {2: 4, 3: 1, 463: 1}\n(e) #J(F_17) odd: True ; gcd(#J(F_p), p=5,7,17,29) = 3\n(f) C(F_3) = ['(0:1:0)', '(0:0:1)', '(2:0:1)']\n(g) disc_y = -27*x**8 - 54*x**5 + 4*x**3 - 27*x**2 = x^2 (4x - 27(x^3+1)^2); real roots of the second factor: 0 ; value at 0: -27\n so for every real x the cubic in y has exactly one real root (a triple root 0 at x = 0): C(R) is connected\nALL CURVE CHECKS PASSED\n" }, { "path": "anc/code/1.3.8/descent/expected/bitangents.out", "size_bytes": 624, "sha256": "7e1bafcc970138bf4b01e57e347a905c5b1ada62764580f5cb4bc80c154a01d6", "mode": 420, "encoding": "utf-8", "text": "\u001b[0;31m *** Warning: new stack size = 1000000000 (953.674 Mbytes).\u001b[0m\nRes_k = Mat([m^27 - 48*m^22 + 1344*m^18 + 144*m^17 - 3264*m^13 + 832*m^12 - 40704*m^9 - 4608*m^8 - 2560*m^7 - 39936*m^4 - 15360*m^3 - 1024*m^2 + 4096, 1])\nB is a factor of Res_k: 1\nB irreducible: 1 squarefree: 1\ndeg gcd_k(E1,E2) over K = 1\nG(x, theta x + k(theta), 1) == (x^2+ux+v)^2 in K[x]: 1\nk(theta) equals the paper's k(theta): 1\nN(theta - k(theta)) = [2, -6; 11, 2; 47, 2] N(-k(theta)) = Mat([2, -6])\nissquare(N(theta-k)) 1 issquare(N(-k)) 1\nB over Q_2: degrees [2, 5, 10, 10]\nB mod 3 degrees: [2, 5, 5, 5, 10] mod 113: [1, 2, 8, 8, 8]\n" }, { "path": "anc/code/1.3.8/descent/expected/paper_sunits.out", "size_bytes": 193, "sha256": "dc9431bfd4c96c8c23a32e4f2b44eb9e8a924f40944fcb1631f5cc63af515b5a", "mode": 420, "encoding": "utf-8", "text": "printed norms confirmed exactly; all 19 elements integral, norms +-1, +-2, +-4 -> S-units\n19 printed elements independent mod squares (rank 19); u1u2u3u4 == theta - k(theta) mod squares: True\n" }, { "path": "anc/code/1.3.8/descent/expected/selmer.out", "size_bytes": 1543, "sha256": "780390724a1d7a4791af1ed71b5bd7ca56ada689d570313a8b1364b1ffd301ca", "mode": 420, "encoding": "utf-8", "text": "bitangent identity re-checked\nprimes above 2 (e,f): [(10, 1), (5, 1), (2, 1), (5, 2)]\n19 S-units checked exactly: units integral of norm +-1; S-units with norm +-2^k (after scaling by 2^m)\nrank of the 19 x 400 quadratic-character matrix over F_2: 19 (primes q <= 2791)\nreal signs (arb, = PARI nfeltsign) computed\nv | 2 with (e,f)=(10,1): (O/p^21)^x has 11 even cyclic factors = 1+[K_v:Q_2]\nv | 2 with (e,f)=(5,1): (O/p^11)^x has 6 even cyclic factors = 1+[K_v:Q_2]\nv | 2 with (e,f)=(2,1): (O/p^5)^x has 3 even cyclic factors = 1+[K_v:Q_2]\nv | 2 with (e,f)=(5,2): (O/p^11)^x has 11 even cyclic factors = 1+[K_v:Q_2]\nsquare-class coordinates agree with nfislocalpower on 12 random products x 4 primes\npoints of C(Q_2) with integer x in [-40,40] found: 47\nlocal image W_2 spanned by delta_2(P - oo) at P = (x, y mod 2^60): [(-40, 177036671367769442), (-39, 271477316397691054), (-37, 408928458825745180), (-35, 1073474074041454754)] dim 4\nall 51 sampled points of C(Q_2) (incl. the paper's x = -24,-23,-21,-19) have classes in W_2\ndim Sel_fake = 1 elements: [['-1', 'u1', 'u2', 'u3', 'u4']]\ndim without the norm condition: 1\ndim with the condition at 2 only (no sign, no norm condition): 1 elements: [['-1', 'u1', 'u2', 'u3', 'u4']]\ntheta - k(theta): primes outside S with odd valuation: []\ntheta - k(theta) == product of ['-1', 'u1', 'u2', 'u3', 'u4'] mod squares (characters agree at 399 primes)\nsigns of theta - k(theta): [0, 0, 0] local class in W_2: True\ndelta(T) = -k(theta) is a square in K: True\nSELMER CHECKS PASSED: rank J(Q) <= 1\n" }, { "path": "anc/code/1.3.8/descent/expected/theta.out", "size_bytes": 413, "sha256": "1e463bc5f6403b2d47915cef2d7584f30d43c1e23a700aff8dbfadd7bd9617ba", "mode": 420, "encoding": "utf-8", "text": "zeros of q: 28 (Arf invariant 1 <=> 28); nonzero singular vectors: 27\nweights of nonzero image vectors: {12: 36, 16: 27}\nsum of the 27 singular vectors: [0, 0, 0, 0, 0, 0]\npossible weights of orbit unions: [0, 2, 5, 7, 10, 12, 15, 17, 20, 22, 25, 27] ; intersection with {12,16}: [12]\nunions of weight 12: [[2, 10], [2, 10]] -> their sum has weight 20 not in {12,16}: dim J(Q_2)[2] <= 1\nTHETA MODEL CHECKS PASSED\n" }, { "path": "anc/code/1.3.8/descent/paper_sunits.json", "size_bytes": 34319, "sha256": "dc2dedcd88f544dfb83addf7380767d9d5e2b37e42e053132972653d1b391043", "mode": 420, "encoding": "utf-8", "text": "[\n{\n\"name\": \"-1\",\n\"expr\": \"-1\",\n\"norm\": \"-1\"\n},\n{\n\"name\": \"u_1\",\n\"expr\": \"7063799615189737111786237449/296244132085146139147788865005568*th^26-37798033677787994234147905759/296244132085146139147788865005568*th^25+538111288814791189933718419/148122066042573069573894432502784*th^24+2120166343077307135513444831/148122066042573069573894432502784*th^23-24879031593038994401959681737/148122066042573069573894432502784*th^22-22956298210854143461906727361/18515258255321633696736804062848*th^21+461674812302844735115228239959/74061033021286534786947216251392*th^20-3433550871555115181967187695/37030516510643267393473608125696*th^19-6742525956824199254377301671/9257629127660816848368402031424*th^18+1494059062926821423832866471251/37030516510643267393473608125696*th^17-3025121919084327180676329373453/18515258255321633696736804062848*th^16-5423765081134094209144177297/289300910239400526511512563482*th^15+147315202541368735869829721767/9257629127660816848368402031424*th^14-1028206023667173031903046088791/4628814563830408424184201015712*th^13-1114697144804131086850946125999/4628814563830408424184201015712*th^12+163171693932315894713114943579/289300910239400526511512563482*th^11+51785478896322773374145980943/4628814563830408424184201015712*th^10-227234958295406002353672112343/2314407281915204212092100507856*th^9-74607263175902595643991602495/1157203640957602106046050253928*th^8+12418107200468898567568126804485/2314407281915204212092100507856*th^7+30264525731079519098978267649/1157203640957602106046050253928*th^6-694418882779177854915717659249/1157203640957602106046050253928*th^5+4013029279597068165802994496195/578601820478801053023025126964*th^4+1755849366030007468721543834543/578601820478801053023025126964*th^3-18420874892335954379618939497/578601820478801053023025126964*th^2+45481047011372636579155320623/289300910239400526511512563482*th-111713249739232474458592761517/144650455119700263255756281741\",\n\"norm\": \"1\"\n},\n{\n\"name\": \"u_2\",\n\"expr\": \"-77309916006530147855865376339/148122066042573069573894432502784*th^26+173301523821418182137034925363/148122066042573069573894432502784*th^25-79181536790347086622534595651/148122066042573069573894432502784*th^24+95380415583988018734450187801/148122066042573069573894432502784*th^23-67168663611383700078688380325/148122066042573069573894432502784*th^22+29403945554147049854244761145/1157203640957602106046050253928*th^21-1043803418037317644378517697687/18515258255321633696736804062848*th^20+240713134297275098478551308651/9257629127660816848368402031424*th^19-288092384364364655000586874939/9257629127660816848368402031424*th^18-25181877363663431467805184086443/37030516510643267393473608125696*th^17+27402567354426323771536304163901/18515258255321633696736804062848*th^16-4985698659396389702554237318445/9257629127660816848368402031424*th^15+7151941113741332096226533222031/9257629127660816848368402031424*th^14-1175746000231953391068724223547/2314407281915204212092100507856*th^13+9861029512467999057469880720853/4628814563830408424184201015712*th^12-648185811381473427603808305903/144650455119700263255756281741*th^11+7182635052003479176655816763423/2314407281915204212092100507856*th^10-6486498822324088485117180810029/2314407281915204212092100507856*th^9+13220870720804033584313943155423/578601820478801053023025126964*th^8-108669877293764440826838757457351/2314407281915204212092100507856*th^7+11620403614855265244554901348085/578601820478801053023025126964*th^6-15931403296368635354152831599255/578601820478801053023025126964*th^5+4583090419040059387448563494155/289300910239400526511512563482*th^4+2783375615240510022626460774641/578601820478801053023025126964*th^3-16270970182622831137777474193677/578601820478801053023025126964*th^2-1105423682908802765142646482617/289300910239400526511512563482*th-1554040119154223760386431656367/144650455119700263255756281741\",\n\"norm\": \"-1\"\n},\n{\n\"name\": \"u_3\",\n\"expr\": \"-1312773407951745843956231829/903183329527884570572527027456*th^26-5065067478193448973559834123/7225466636223076564580216219648*th^25-628708026230327362311834535/1806366659055769141145054054912*th^24-2764872906930212849712801/14112239523873196415195734804*th^23-277779736812795560411914799/3612733318111538282290108109824*th^22+31501385639019351352547486099/451591664763942285286263513728*th^21+60705475389702310190404632763/1806366659055769141145054054912*th^20+15023151899160308849632401975/903183329527884570572527027456*th^19+8448575241839263357849578303/903183329527884570572527027456*th^18-1760994617035890580600570804125/903183329527884570572527027456*th^17-32478156780837950649398971585/28224479047746392830391469608*th^16-127938177317906530652320558503/225795832381971142643131756864*th^15-70043202624309054958077807177/225795832381971142643131756864*th^14-14581532295177575603715263117/112897916190985571321565878432*th^13+266277716221150288755967366573/56448958095492785660782939216*th^12+114515811418760257339721671641/112897916190985571321565878432*th^11+50120458287160277530490299047/112897916190985571321565878432*th^10+15985656266145695938129529319/56448958095492785660782939216*th^9+3347580930728837656884241987949/56448958095492785660782939216*th^8+1998194577289188068804297745143/56448958095492785660782939216*th^7+600762798710410877461047617137/28224479047746392830391469608*th^6+313226686769035408609588458373/28224479047746392830391469608*th^5+33757501693183616289532519165/7056119761936598207597867402*th^4+213752189979126281010503575454/3528059880968299103798933701*th^3+757533815094867153589477527113/14112239523873196415195734804*th^2+98869883878281191270297206619/3528059880968299103798933701*th+45387404340040744764243013790/3528059880968299103798933701\",\n\"norm\": \"-1\"\n},\n{\n\"name\": \"u_4\",\n\"expr\": \"77292085744848497219771750513/296244132085146139147788865005568*th^26+3184073736209392096601230029/148122066042573069573894432502784*th^25+158160443024843657599500477/2314407281915204212092100507856*th^24-3706665141563443068757200601/74061033021286534786947216251392*th^23-9221146057473183984312372447/148122066042573069573894432502784*th^22-14379459763711771635968567951/1157203640957602106046050253928*th^21-37380987244625561050436702429/37030516510643267393473608125696*th^20-31206345840609917012929459747/9257629127660816848368402031424*th^19+87137710366437201741072217191/37030516510643267393473608125696*th^18+13104470753166463932967463802885/37030516510643267393473608125696*th^17+570122411349133511367991699315/9257629127660816848368402031424*th^16+434536154677801097683635683961/4628814563830408424184201015712*th^15-490055965264915201062346761771/9257629127660816848368402031424*th^14-411408469992900890887392687691/4628814563830408424184201015712*th^13-856373139079307996386733844219/1157203640957602106046050253928*th^12+920599657905788594610332150463/4628814563830408424184201015712*th^11-743170219766554751957835956915/2314407281915204212092100507856*th^10+291998305305478092456070360681/2314407281915204212092100507856*th^9-23399757410215729393927125191747/2314407281915204212092100507856*th^8-6389096218595248636503343302681/2314407281915204212092100507856*th^7-1967796011052808184115624973741/578601820478801053023025126964*th^6+1080055900860018953334643001609/578601820478801053023025126964*th^5+1612947241304195052700228414189/578601820478801053023025126964*th^4-4217760990699696515204093100631/289300910239400526511512563482*th^3-3661949201594807864023805275239/578601820478801053023025126964*th^2+273978397874170013071093600952/144650455119700263255756281741*th-58834557448573202711594780198/144650455119700263255756281741\",\n\"norm\": \"1\"\n},\n{\n\"name\": \"u_5\",\n\"expr\": \"-377988224344563215679498603441/592488264170292278295577730011136*th^26+33253182591239244498166782889/148122066042573069573894432502784*th^25+12902328705027242500907528717/296244132085146139147788865005568*th^24-1609430332511319298658821443/37030516510643267393473608125696*th^23-20725248145347610269078236013/148122066042573069573894432502784*th^22+4525197991588031150267407424287/148122066042573069573894432502784*th^21-200874741271432912576350549991/18515258255321633696736804062848*th^20-158936549277880292150738052745/74061033021286534786947216251392*th^19+9814659778628266203400011761/4628814563830408424184201015712*th^18-7872515697704731170469562980767/9257629127660816848368402031424*th^17+494688178997245303694609001201/2314407281915204212092100507856*th^16+874606229204040712763997564735/9257629127660816848368402031424*th^15-461061239163647476301546152059/9257629127660816848368402031424*th^14-1821013974760184004627455128495/9257629127660816848368402031424*th^13+18031449143199347058054409519761/9257629127660816848368402031424*th^12-12917441585996937957444415270813/9257629127660816848368402031424*th^11-211663594303814090318331813205/4628814563830408424184201015712*th^10+1111648028944522197509019741985/4628814563830408424184201015712*th^9+62191298037344995035012873055401/2314407281915204212092100507856*th^8-3119893100839348432204681045337/578601820478801053023025126964*th^7-1417089528258222487630436718853/2314407281915204212092100507856*th^6+785219585628560127229405035711/1157203640957602106046050253928*th^5+4657494743799314565723293972365/1157203640957602106046050253928*th^4+14768541796026806198109921527607/578601820478801053023025126964*th^3+224919049847611723791642162825/289300910239400526511512563482*th^2-444218426318515471141318143687/144650455119700263255756281741*th+475308474662184180451946802779/144650455119700263255756281741\",\n\"norm\": \"1\"\n},\n{\n\"name\": \"u_6\",\n\"expr\": \"259271334184579047008073075029/592488264170292278295577730011136*th^26+26999135479796008193481197581/148122066042573069573894432502784*th^25+2638269107438945196814859961/296244132085146139147788865005568*th^24+6570730036406608234431566135/74061033021286534786947216251392*th^23+1479866528807493116849674781/37030516510643267393473608125696*th^22-3118709106895510051374081055049/148122066042573069573894432502784*th^21-80927099158984448686062928661/9257629127660816848368402031424*th^20-26061825409065665300733332753/74061033021286534786947216251392*th^19-158657791668804971287925098985/37030516510643267393473608125696*th^18+21708466442946425685272207833049/37030516510643267393473608125696*th^17+2874450413701909246789551836851/9257629127660816848368402031424*th^16+349775423019533671081162221781/9257629127660816848368402031424*th^15+540754360183318658038474097511/4628814563830408424184201015712*th^14+618561499247712762348581951485/9257629127660816848368402031424*th^13-13789792893876361845642641530387/9257629127660816848368402031424*th^12-2153557372162972831556592185367/9257629127660816848368402031424*th^11+1034917768594533855932748403309/4628814563830408424184201015712*th^10-1304207722096854728192413140533/4628814563830408424184201015712*th^9-20665399693994835164636341602537/1157203640957602106046050253928*th^8-21089981152914115002466763992417/2314407281915204212092100507856*th^7-5670427352711841063717221394069/2314407281915204212092100507856*th^6-5491461697458383089844990463283/1157203640957602106046050253928*th^5-2626238991983279079433259284089/1157203640957602106046050253928*th^4-9074096285424246189013896802653/578601820478801053023025126964*th^3-8086347041108835458545009833901/578601820478801053023025126964*th^2-927964967861136252412292634964/144650455119700263255756281741*th-485302821401295477012837586070/144650455119700263255756281741\",\n\"norm\": \"1\"\n},\n{\n\"name\": \"u_7\",\n\"expr\": \"161556340865487915064645021653/592488264170292278295577730011136*th^26-25471664991808863037883330849/296244132085146139147788865005568*th^25+65223799867063453725443614547/148122066042573069573894432502784*th^24+9949629377941797005872093371/37030516510643267393473608125696*th^23+6438771651945310552141855279/74061033021286534786947216251392*th^22-1910011718643882372061460009915/148122066042573069573894432502784*th^21+78611802393814354241214759349/18515258255321633696736804062848*th^20-787962552442333257665811377147/37030516510643267393473608125696*th^19-246379759020536743922085711111/18515258255321633696736804062848*th^18+13397764470711628593581368379821/37030516510643267393473608125696*th^17-1590610234821459281925272944755/18515258255321633696736804062848*th^16+2656433527786567212351758093851/4628814563830408424184201015712*th^15+4001721576523410419848429952315/9257629127660816848368402031424*th^14+1640581644275191070288537028443/9257629127660816848368402031424*th^13-5470512502315919000535950295829/9257629127660816848368402031424*th^12+6579178353420000983990614942793/9257629127660816848368402031424*th^11-7858348019647481848440345839517/4628814563830408424184201015712*th^10-2617341922026743077274457761501/2314407281915204212092100507856*th^9-1732583324140618419559233686064/144650455119700263255756281741*th^8+2420902148659683353178635509113/2314407281915204212092100507856*th^7-42478946763024090584311350374775/2314407281915204212092100507856*th^6-6092469868381922286049458055763/578601820478801053023025126964*th^5-402895061748985658144770222601/289300910239400526511512563482*th^4-2219419432206670257070338713596/144650455119700263255756281741*th^3-3322620693633145668844758434391/578601820478801053023025126964*th^2-2597953278911592755385678364331/144650455119700263255756281741*th-2118415181696265482043439264850/144650455119700263255756281741\",\n\"norm\": \"1\"\n},\n{\n\"name\": \"u_8\",\n\"expr\": \"-182866899668357506350668310829/592488264170292278295577730011136*th^26-75334525417189555724831637697/296244132085146139147788865005568*th^25+1951530049170411942827696513/74061033021286534786947216251392*th^24-13629045017667534134075166351/148122066042573069573894432502784*th^23-3226794612849868149454629073/18515258255321633696736804062848*th^22+2238184731665603208340613331429/148122066042573069573894432502784*th^21+442294349875902968293887914109/37030516510643267393473608125696*th^20-13051199165949363505587509445/9257629127660816848368402031424*th^19+198202302379424810894395235979/37030516510643267393473608125696*th^18-15083431361332697594844200469253/37030516510643267393473608125696*th^17-116018274580957474662162888621/289300910239400526511512563482*th^16+124944972753711854849493100365/9257629127660816848368402031424*th^15-1063897803901040476253897650387/9257629127660816848368402031424*th^14-2711614371215047634868769258675/9257629127660816848368402031424*th^13+13204899938544920568609855206957/9257629127660816848368402031424*th^12+2621465777824362333774767578447/9257629127660816848368402031424*th^11-2901331043271226887558590905741/4628814563830408424184201015712*th^10+3874169214342720043266856186581/2314407281915204212092100507856*th^9+27797661785438071897294841648695/2314407281915204212092100507856*th^8+21928995669666456634814152457223/2314407281915204212092100507856*th^7+12105425221664016856147144480509/2314407281915204212092100507856*th^6+539579918869648929282176961847/289300910239400526511512563482*th^5+723795030109214868674603829775/289300910239400526511512563482*th^4+7374784228859829426037281416113/578601820478801053023025126964*th^3+7450952724297256117154642887677/578601820478801053023025126964*th^2+1806869167246336053753914786605/289300910239400526511512563482*th+514823414763931951697043183679/144650455119700263255756281741\",\n\"norm\": \"-1\"\n},\n{\n\"name\": \"u_9\",\n\"expr\": \"-612520719388650223615214421029/296244132085146139147788865005568*th^26+16874989782309050631087449447/148122066042573069573894432502784*th^25+12580766049500765529053305387/37030516510643267393473608125696*th^24-20538965432726877497716548597/148122066042573069573894432502784*th^23-5786579508453974923341159021/74061033021286534786947216251392*th^22+1842502722382199211375029059593/18515258255321633696736804062848*th^21-193333105359828709014983777443/37030516510643267393473608125696*th^20-74361434150483064293265498309/4628814563830408424184201015712*th^19+270536849073223443974159747905/37030516510643267393473608125696*th^18-12841165799393049760364258138611/4628814563830408424184201015712*th^17-2894515614603262711768964790223/18515258255321633696736804062848*th^16+4293247537327352778823681414427/9257629127660816848368402031424*th^15-674449990980058437268640443723/4628814563830408424184201015712*th^14-175135501765469525473938154825/1157203640957602106046050253928*th^13+32678142589552130450706380311947/4628814563830408424184201015712*th^12-8150852735187060733790269754625/4628814563830408424184201015712*th^11-1756684003858368993121492699165/2314407281915204212092100507856*th^10+3511286063562438968100889037593/2314407281915204212092100507856*th^9+197860298913115309139652218969195/2314407281915204212092100507856*th^8+6014188727872798706210716586209/1157203640957602106046050253928*th^7-3735138174190363221251023457569/578601820478801053023025126964*th^6+4285159625076435212338628972819/578601820478801053023025126964*th^5+3794475214353167920864118352703/578601820478801053023025126964*th^4+47031732573707272872745064183001/578601820478801053023025126964*th^3+8216500301998728617390697479511/289300910239400526511512563482*th^2-3016411842976269439239211250781/289300910239400526511512563482*th+609139658948634383035973945858/144650455119700263255756281741\",\n\"norm\": \"-1\"\n},\n{\n\"name\": \"u_10\",\n\"expr\": \"-105876688527873381935999299015/148122066042573069573894432502784*th^26-7030853974488431346908383535/37030516510643267393473608125696*th^25+66751662160666283471784602059/296244132085146139147788865005568*th^24+832976056281627917957513867/9257629127660816848368402031424*th^23-67199012646233082713216285671/148122066042573069573894432502784*th^22+1298987098885421076156963728249/37030516510643267393473608125696*th^21+654138876052027617424243656865/74061033021286534786947216251392*th^20-771552667652614046146381225863/74061033021286534786947216251392*th^19-85997448446012077888764247237/18515258255321633696736804062848*th^18-34740633923538648923502825245551/37030516510643267393473608125696*th^17-114613528427004645246286784719/289300910239400526511512563482*th^16+1332944886721559046093450587967/4628814563830408424184201015712*th^15+324287359845190629336110803109/2314407281915204212092100507856*th^14-1378173623940554902286382288291/2314407281915204212092100507856*th^13+15212112818553000372322136941809/4628814563830408424184201015712*th^12-951616410109879755764073928003/4628814563830408424184201015712*th^11-1592053411411188433661063345615/4628814563830408424184201015712*th^10-3474215186750560937933868606685/4628814563830408424184201015712*th^9+74649714788865636241802602447477/2314407281915204212092100507856*th^8+13248502624675449676338358183581/2314407281915204212092100507856*th^7-6533776073303143113781656834519/1157203640957602106046050253928*th^6+1088678932391591273079058051883/578601820478801053023025126964*th^5-786127996862710797350730033911/1157203640957602106046050253928*th^4+14439201041693813354420099241269/578601820478801053023025126964*th^3+3395754082724903658702450132671/578601820478801053023025126964*th^2-2637598308248862845465844749829/289300910239400526511512563482*th-44280269667999073528619951195/144650455119700263255756281741\",\n\"norm\": \"1\"\n},\n{\n\"name\": \"u_11\",\n\"expr\": \"-314846211101411208505076533879/592488264170292278295577730011136*th^26+54294853024344506078852013671/148122066042573069573894432502784*th^25-150537782374551854929574724647/296244132085146139147788865005568*th^24-45911937208625801671164691711/148122066042573069573894432502784*th^23+89388542494914462016942657/148122066042573069573894432502784*th^22+3779313778077650750421390094135/148122066042573069573894432502784*th^21-165669419467413016796294842511/9257629127660816848368402031424*th^20+1826712730754550150249122962113/74061033021286534786947216251392*th^19+571914333714246027846533537197/37030516510643267393473608125696*th^18-1652581205612746236886593032273/2314407281915204212092100507856*th^17+7695975960278897590346864773961/18515258255321633696736804062848*th^16-5702382144944408089728717827153/9257629127660816848368402031424*th^15-4658886273357599611165015171303/9257629127660816848368402031424*th^14-657536938374549386038678206101/9257629127660816848368402031424*th^13+16077640036239507502591065528823/9257629127660816848368402031424*th^12-18873482849291463882416512179163/9257629127660816848368402031424*th^11+10630610041153237239906691735207/4628814563830408424184201015712*th^10+6493300133302394922293174220727/4628814563830408424184201015712*th^9+25114194322091205068040142708149/1157203640957602106046050253928*th^8-14611362895328315326912147948309/1157203640957602106046050253928*th^7+48946080375025971783558976664123/2314407281915204212092100507856*th^6+14493371249243258180183795040759/1157203640957602106046050253928*th^5+1300202786606583236122110648689/1157203640957602106046050253928*th^4+3087453362250702645837008816896/144650455119700263255756281741*th^3+513964340351126696354807297552/144650455119700263255756281741*th^2+696043195635350195609301646075/289300910239400526511512563482*th-35682111523737597445429917364/144650455119700263255756281741\",\n\"norm\": \"-1\"\n},\n{\n\"name\": \"u_12\",\n\"expr\": \"-129734128761683313751709517401/74061033021286534786947216251392*th^26+84621357708102639744054665317/296244132085146139147788865005568*th^25+96659647445648858983059233091/148122066042573069573894432502784*th^24-15955946061625301334811341511/37030516510643267393473608125696*th^23-23265078685848210969115320379/148122066042573069573894432502784*th^22+6252827583755759818863878394805/74061033021286534786947216251392*th^21-1004810883391061449748512798877/74061033021286534786947216251392*th^20-74558438748694774360049121297/2314407281915204212092100507856*th^19+818894943656839184168563329013/37030516510643267393473608125696*th^18-86983641064269071093336098742683/37030516510643267393473608125696*th^17+2212901559859830303617761585399/18515258255321633696736804062848*th^16+8347472092664378981226628934205/9257629127660816848368402031424*th^15-3909808043508118964457545963423/9257629127660816848368402031424*th^14-442661113411746112258376378843/1157203640957602106046050253928*th^13+14690528802681055682267379230225/2314407281915204212092100507856*th^12-11701547694297870436962509413807/4628814563830408424184201015712*th^11-10484473377746069600387750902983/4628814563830408424184201015712*th^10+2413360288658556863702727739239/1157203640957602106046050253928*th^9+166819609715588760494222824386695/2314407281915204212092100507856*th^8-13987503125571968374412509497895/2314407281915204212092100507856*th^7-3160225760238804567285838385449/144650455119700263255756281741*th^6+15969204951971355251436402596797/1157203640957602106046050253928*th^5+4597888713507102016591872359013/578601820478801053023025126964*th^4+15135223794453349793374042187289/289300910239400526511512563482*th^3+11515182435459222509007160459297/578601820478801053023025126964*th^2-4540005137645365289998215217483/289300910239400526511512563482*th-618662566928919854542846147627/144650455119700263255756281741\",\n\"norm\": \"-1\"\n},\n{\n\"name\": \"u_13\",\n\"expr\": \"-366691046301948776676504615979/148122066042573069573894432502784*th^26+89941436376469395697976224715/148122066042573069573894432502784*th^25+38105194978291574782656025801/74061033021286534786947216251392*th^24-60730156900118682676369411661/148122066042573069573894432502784*th^23+16796885988204893405510521551/148122066042573069573894432502784*th^22+4409862542361399829677753378811/37030516510643267393473608125696*th^21-136165481572219027219103996953/4628814563830408424184201015712*th^20-930208689728647949816446090869/37030516510643267393473608125696*th^19+91318787442190429780839488297/4628814563830408424184201015712*th^18-123373251327175281277404675412983/37030516510643267393473608125696*th^17+8299133240751498490752566891371/18515258255321633696736804062848*th^16+7315682961330258884364097384061/9257629127660816848368402031424*th^15-4262753569506697645693923504307/9257629127660816848368402031424*th^14+215140436172488703474189553533/2314407281915204212092100507856*th^13+38915570165208653736115494778739/4628814563830408424184201015712*th^12-1277343374012496748122220102061/289300910239400526511512563482*th^11-995909316261089390097603243201/578601820478801053023025126964*th^10+2246848339395028846504409346461/1157203640957602106046050253928*th^9+29320451404944814601486695578133/289300910239400526511512563482*th^8-29952759353270081350146244380835/2314407281915204212092100507856*th^7-5375953987168893154427239004287/289300910239400526511512563482*th^6+1356199789755770393564819677085/144650455119700263255756281741*th^5-1066203424242986479235445838807/578601820478801053023025126964*th^4+56722939990358684829077371913057/578601820478801053023025126964*th^3+12129283225112309263217774152771/578601820478801053023025126964*th^2-9489863290126099408866353680403/289300910239400526511512563482*th+9311536468287685484795074389/144650455119700263255756281741\",\n\"norm\": \"1\"\n},\n{\n\"name\": \"u_14\",\n\"expr\": \"1097638783318910737291207479761/592488264170292278295577730011136*th^26+198925085359374728084208166183/74061033021286534786947216251392*th^25+101317278640627027968098257615/37030516510643267393473608125696*th^24+299283782719144512890715968545/148122066042573069573894432502784*th^23+18296576030291516484990128359/37030516510643267393473608125696*th^22-13352654801181715164592919300845/148122066042573069573894432502784*th^21-9758540034793014835538223285741/74061033021286534786947216251392*th^20-5012084871826714922246334316249/37030516510643267393473608125696*th^19-3727002279151552499714247121713/37030516510643267393473608125696*th^18+91206997057760979895025585212675/37030516510643267393473608125696*th^17+72869595104118562245593178483039/18515258255321633696736804062848*th^16+38911195427976470475706590535033/9257629127660816848368402031424*th^15+30649500756646647678499176357933/9257629127660816848368402031424*th^14+10573184818180481242565401389193/9257629127660816848368402031424*th^13-69042877056137028613483833757355/9257629127660816848368402031424*th^12-103885180743431616557132237044705/9257629127660816848368402031424*th^11-29309637190373284397199194660525/2314407281915204212092100507856*th^10-23677633954069834939108440104341/2314407281915204212092100507856*th^9-186741606009136396931115698395759/2314407281915204212092100507856*th^8-263799483205191930270272739400151/2314407281915204212092100507856*th^7-269940975762043259675401211337179/2314407281915204212092100507856*th^6-91021602966502692664673999548589/1157203640957602106046050253928*th^5-6036070153185465647681253835439/578601820478801053023025126964*th^4-4705352100808119720818483433859/578601820478801053023025126964*th^3-3928085306615079840073639149175/578601820478801053023025126964*th^2-391143482290185333639935135695/144650455119700263255756281741*th-600557767044585981622562841872/144650455119700263255756281741\",\n\"norm\": \"1\"\n},\n{\n\"name\": \"pi_1\",\n\"expr\": \"-266633807647029634545808970997/592488264170292278295577730011136*th^26+10040497027743614407651295993/37030516510643267393473608125696*th^25+25629554873786486278162056553/296244132085146139147788865005568*th^24-18390382114636756779282924743/148122066042573069573894432502784*th^23-2594318178396990474924896321/148122066042573069573894432502784*th^22+3208940764857584940060041056037/148122066042573069573894432502784*th^21-120537718255915084169380402225/9257629127660816848368402031424*th^20-308955276011602000711838206517/74061033021286534786947216251392*th^19+219336501079942944433611437521/37030516510643267393473608125696*th^18-5591072508629945338853805067431/9257629127660816848368402031424*th^17+5490756895298392497238789414027/18515258255321633696736804062848*th^16+90150374338081711165433351461/578601820478801053023025126964*th^15-1423156634448732729500383985069/9257629127660816848368402031424*th^14-376296831782678451563012909403/9257629127660816848368402031424*th^13+14344280193301436369765673151913/9257629127660816848368402031424*th^12-11615131020209991877600045842493/9257629127660816848368402031424*th^11-421605404672505789628694874729/4628814563830408424184201015712*th^10+2040550449538417120035915748063/4628814563830408424184201015712*th^9+21265822492866903038378907480533/1157203640957602106046050253928*th^8-10817515648088736295787284749497/1157203640957602106046050253928*th^7-8019988102331685222649609864123/2314407281915204212092100507856*th^6+4748128091422584293718792202331/1157203640957602106046050253928*th^5+1103668269313212924462908478271/1157203640957602106046050253928*th^4+2308441262427492654138548409819/144650455119700263255756281741*th^3-592889583768178780192547858960/144650455119700263255756281741*th^2-1684456858910229967840788289695/289300910239400526511512563482*th+445761977207677414113407223855/144650455119700263255756281741\",\n\"norm\": \"-2\"\n},\n{\n\"name\": \"pi_2\",\n\"expr\": \"470364233115917919426162677847/592488264170292278295577730011136*th^26+30346093346594052296247833109/74061033021286534786947216251392*th^25+30305150546653045789001287461/148122066042573069573894432502784*th^24+471188052484543709285004761/4628814563830408424184201015712*th^23+1659067458028261964277306591/148122066042573069573894432502784*th^22-5645876207101659259884177171745/148122066042573069573894432502784*th^21-1460320625326544270103850461693/74061033021286534786947216251392*th^20-364811007164573189795530740849/37030516510643267393473608125696*th^19-181197895249973434017829450185/37030516510643267393473608125696*th^18+19747017294624146508159407992939/18515258255321633696736804062848*th^17+6162198814919161711322571328487/9257629127660816848368402031424*th^16+1557028778835011672720001282967/4628814563830408424184201015712*th^15+388636224709758923482861605893/2314407281915204212092100507856*th^14+285989825083100449052562084803/9257629127660816848368402031424*th^13-24141725515970437373292630674447/9257629127660816848368402031424*th^12-6982431281268744863484192468247/9257629127660816848368402031424*th^11-860840172435940864443923443577/2314407281915204212092100507856*th^10-49701847678761425119320603063/289300910239400526511512563482*th^9-74527628883570960569594715146257/2314407281915204212092100507856*th^8-23297813349445350529419052854911/1157203640957602106046050253928*th^7-27488039615861700696391880963079/2314407281915204212092100507856*th^6-6824562408931176707188435746319/1157203640957602106046050253928*th^5-773386007149949714713444922495/578601820478801053023025126964*th^4-4552394403070413751581616769263/144650455119700263255756281741*th^3-7564531646765702132104587249663/289300910239400526511512563482*th^2-3909347705767424720307531797323/289300910239400526511512563482*th-929892625030082963336591642452/144650455119700263255756281741\",\n\"norm\": \"2\"\n},\n{\n\"name\": \"pi_3\",\n\"expr\": \"-18723602624054244847764878943/37030516510643267393473608125696*th^26-14378184648239964965374811717/37030516510643267393473608125696*th^25+45261312819838966673017613595/296244132085146139147788865005568*th^24-31998174058912159983387614259/148122066042573069573894432502784*th^23+22761835918771543757726280935/148122066042573069573894432502784*th^22+446841414987763982716493075437/18515258255321633696736804062848*th^21+1387451467277929049960232722827/74061033021286534786947216251392*th^20-561146156152092228270386893347/74061033021286534786947216251392*th^19+386336225558159308142794855971/37030516510643267393473608125696*th^18-25447841451438342993196300405947/37030516510643267393473608125696*th^17-10879981479143817416912786275957/18515258255321633696736804062848*th^16+670481002910716396251394247837/4628814563830408424184201015712*th^15-1183837744958280633049325686273/4628814563830408424184201015712*th^14+25011625569043579396996095897/144650455119700263255756281741*th^13+6952508355479646537581928937745/4628814563830408424184201015712*th^12+4323448970194181390843697257353/4628814563830408424184201015712*th^11-5279483122400778929890044239675/4628814563830408424184201015712*th^10+3898965718400869979732641235657/4628814563830408424184201015712*th^9+22571388224404431421406976821145/1157203640957602106046050253928*th^8+44827270759932531760094975282871/2314407281915204212092100507856*th^7-4027230521813595517366878005619/1157203640957602106046050253928*th^6+3284424149218833942537158769867/289300910239400526511512563482*th^5-6043717755546446529711206400965/1157203640957602106046050253928*th^4+3782707942744747296747621255040/144650455119700263255756281741*th^3+10603561255876357232530416896925/578601820478801053023025126964*th^2+836383889119068446678500691862/144650455119700263255756281741*th+735126002408630830307480995162/144650455119700263255756281741\",\n\"norm\": \"-2\"\n},\n{\n\"name\": \"pi_4\",\n\"expr\": \"6382828250648087263758980433/74061033021286534786947216251392*th^26-11980372247244349770403139819/296244132085146139147788865005568*th^25-51060446143309175596762616385/296244132085146139147788865005568*th^24+5763024023929532822026264775/148122066042573069573894432502784*th^23+50799829167446112486537210233/74061033021286534786947216251392*th^22-14272040503975385200576292191/4628814563830408424184201015712*th^21+15902611733081968002972536625/37030516510643267393473608125696*th^20-51385610182054312794830366751/74061033021286534786947216251392*th^19-13833321540086756746684476965/1157203640957602106046050253928*th^18+1035400008841274226087290950549/9257629127660816848368402031424*th^17+101769101710250806469255932035/4628814563830408424184201015712*th^16-419153501381458941561706453751/4628814563830408424184201015712*th^15-177122186682227858007691204405/9257629127660816848368402031424*th^14+143928403579553875366250352231/4628814563830408424184201015712*th^13-1623787244307666278358927849531/4628814563830408424184201015712*th^12+26803339782344803163215541289/2314407281915204212092100507856*th^11+59590666651149140377343240351/144650455119700263255756281741*th^10+1764882027939778505309072497235/4628814563830408424184201015712*th^9-8001540593945192399367095935763/2314407281915204212092100507856*th^8-256311548138226438857937256395/578601820478801053023025126964*th^7+1532041530059066112067318574355/578601820478801053023025126964*th^6+655196967623504961945539748221/1157203640957602106046050253928*th^5-187034518212493026582482545531/1157203640957602106046050253928*th^4-515204599145080640157306400645/289300910239400526511512563482*th^3-107182536862026482260425932967/144650455119700263255756281741*th^2+106179872070872870330373771003/289300910239400526511512563482*th+10914850817729526830812948278/144650455119700263255756281741\",\n\"norm\": \"-4\"\n}\n]" }, { "path": "anc/code/1.3.8/field/expected/field.out", "size_bytes": 934, "sha256": "3b4b187b3badd440275a2a51cf7577fa8bf66e9990a69ebee81b940904733488", "mode": 420, "encoding": "utf-8", "text": "\u001b[0;31m *** Warning: new stack size = 2000000000 (1907.349 Mbytes).\u001b[0m\nirreducible: 1\nisprime(big) [1, 1, 1, 1, 1, 1]\ndisc(B) = [2, 318; 11, 6; 41, 2; 198839, 2; 652081, 6; 17743299257028546229859, 2]\nnfcertify: [] (0.082000000000000000000000000000000000000 s)\nd_K = [2, 34; 11, 6; 652081, 6] sign = [3, 12] index = [2, 142; 41, 1; 198839, 1; 17743299257028546229859, 1]\nprimes above 2 (e,f): [[2, 1], [10, 1], [5, 1], [5, 2]]\nprimes above 11: [[2, 1], [2, 5], [1, 5], [1, 5], [1, 5]]\nprimes above 652081: [[2, 1], [1, 5], [2, 5], [1, 5], [1, 5]]\nlog rd = 4.3808118582872716106685148858153892399 rd = 79.902876892443592223822549791803191368\npolredbest (0.066000000000000000000000000000000000000 s): x^27 - x^25 - 18*x^24 + 8*x^22 + 144*x^21 - 4*x^20 - 12*x^19 - 672*x^18 + 12*x^17 - 80*x^16 + 2012*x^15 + 16*x^14 + 400*x^13 - 4032*x^12 - 64*x^11 - 768*x^10 + 5376*x^9 + 704*x^7 - 4608*x^6 + 64*x^5 - 256*x^4 + 2304*x^3 - 512\n" }, { "path": "anc/code/1.4.1/data/cubic_a_quadrics.json", "size_bytes": 2859, "sha256": "4068055166c54e52e52c77b66286d557748e76113e8d26adf164617b03a0d128", "mode": 420, "encoding": "utf-8", "text": "[\n {\n \"denominator\": 2319480586,\n \"coefficients\": {\n \"x^2\": [\n 2319480586,\n 0,\n 0,\n 0,\n 0,\n 0\n ],\n \"xy\": [\n 2562373949,\n -980796521,\n 1296774546,\n -481258053,\n 293309809,\n 463046080\n ],\n \"xz\": [\n -419668879,\n 50201318,\n 179630828,\n 37564515,\n -9567684,\n -12270642\n ],\n \"xt\": [\n -972817706,\n 1333651642,\n 715936916,\n 96483530,\n -184224174,\n 49628362\n ],\n \"y^2\": [\n -335847288,\n 808426632,\n 1035610144,\n -40097640,\n -431483928,\n 112293992\n ],\n \"yz\": [\n 195023348,\n 439309384,\n 714466848,\n -212907052,\n -159608896,\n 92963712\n ]\n }\n },\n {\n \"denominator\": 9277922344,\n \"coefficients\": {\n \"xy\": [\n 4039312739,\n -2075815251,\n -5129180343,\n 565609063,\n -1984866607,\n 517927453\n ],\n \"xz\": [\n 12167806288,\n -4434828605,\n -3632925440,\n -90839712,\n -1510081225,\n 93027480\n ],\n \"xt\": [\n -762274142,\n 5132391166,\n 2645833681,\n 14219514,\n 2108894566,\n -629495915\n ],\n \"y^2\": [\n -4094646760,\n -457702024,\n -2824225752,\n 7544848,\n 256425552,\n -279329096\n ],\n \"yz\": [\n -770316000,\n -519066760,\n -5973795336,\n -1075390904,\n 573921624,\n 1895289456\n ],\n \"yt\": [\n 9277922344,\n 0,\n 0,\n 0,\n 0,\n 0\n ]\n }\n },\n {\n \"denominator\": 9277922344,\n \"coefficients\": {\n \"xy\": [\n 3943053052,\n 1433829160,\n -6873216749,\n -200936020,\n -1656072400,\n 200619407\n ],\n \"xz\": [\n 6334199533,\n -309869997,\n 590819905,\n -143489807,\n -1940820697,\n 125897933\n ],\n \"xt\": [\n 3372941559,\n 4531777078,\n 4332364801,\n -626569733,\n 1585266822,\n 76053869\n ],\n \"y^2\": [\n -4041558688,\n 2142064144,\n -2080367424,\n 518251880,\n -35239840,\n -1014899000\n ],\n \"yz\": [\n 4256962124,\n 906279076,\n -6030572644,\n 56698692,\n 93775892,\n 410881388\n ],\n \"z^2\": [\n 0,\n 4638961172,\n 0,\n 806775856,\n -1815245676,\n -1210163784\n ],\n \"zt\": [\n -9277922344,\n 0,\n 4638961172,\n -1210163784,\n 403387928,\n 1815245676\n ],\n \"t^2\": [\n 9277922344,\n 0,\n 0,\n 0,\n 0,\n 0\n ]\n }\n }\n]" }, { "path": "anc/code/1.4.1/expected/1.4.1a.txt", "size_bytes": 1189, "sha256": "8f3737772fd52d15c7ca8b12e842e3e67ab06446c528c6c2c6ea1062941a4420", "mode": 420, "encoding": "utf-8", "text": "### python3 -I -B 1.4.1a_fields.py\nh = T^3 - T + 1: no rational root (+-1), disc h = -23\ntau(a) = (-1/2)*a + (2/23)*s + (-9/46)*s*a + (-3/23)*s*a^2\ntau^2(a) = (-1/2)*a + (-2/23)*s + (9/46)*s*a + (3/23)*s*a^2 (= tau(a) with s -> -s)\nPASS: tau(a) is a root of h, tau(a) != a, tau^2(a) = P_{-s}(a), tau^3(a) = a\np = 2: split in K; roots of h mod p: []\np = 3: split in K; roots of h mod p: []\np = 7: inert in K; roots of h mod p: [2]\np = 23: ramified in K; roots of h mod p: [13, 20]\np = 29: split in K; roots of h mod p: []\np = 31: split in K; roots of h mod p: []\np = 59: split in K; roots of h mod p: [17, 46, 55]\np = 337: inert in K; roots of h mod p: [7]\np = 9013: inert in K; roots of h mod p: [7229]\nmod 23: h = (T-20)(T-13)^2, and (20-13)^2 = 3 is a unit\nat w+ (s = 2 mod 3): tau(T) = [2, 1, 0] = T^3 in F_27\nat w- (s = 1 mod 3): tau(T) = [1, 1, 0] = T^9 in F_27\nPASS: Frob(w+) = tau, Frob(w-) = tau^2\nroots of s^2 = -23 that lift: mod 27 [2, 25] mod 81 [25, 56] mod 32 [13, 19] mod 64 [19, 45] mod 31 [15, 16] mod 59 [6, 53]\nconsistency: for 3 <= p < 2000, p != 23, h mod p has 0 or 3 roots if (-23/p) = 1, one root if -1\nPASS 1.4.1a\n" }, { "path": "anc/code/1.4.1/expected/1.4.1b.txt", "size_bytes": 3126, "sha256": "7c16510c648bb2ee0fa15bcac8355df11a6bfd0b681406c602248e21bc6db36e", "mode": 420, "encoding": "utf-8", "text": "### python3 -I -B 1.4.1b_curve.py\nW = [(2, 0)] (42451559/201693964) + (-433196895/403387928)*a + (59931349/403387928)*a^2 + (-444877895/4638961172)*s + (619115651/9277922344)*s*a + (646479159/9277922344)*s*a^2 ; [(1, 1)] (-14247822/50423491) + (33549779/100846982)*a + (66436227/100846982)*a^2 + (122335371/1159740293)*s + (-22167211/2319480586)*s*a + (37688639/2319480586)*s*a^2 ; [(0, 2)] (4239638/50423491) + (9550204/50423491)*a + (15531888/50423491)*a^2 + (-106453526/1159740293)*s + (-79804448/1159740293)*s*a + (46481856/1159740293)*s*a^2\nZ = [(3, 0)] (16571177/201693964) + (-111573721/201693964)*a + (-115036247/403387928)*a^2 + (-7109757/4638961172)*s + (-1054447283/4638961172)*s*a + (629495915/9277922344)*s*a^2 ; [(2, 1)] (-659722979/403387928) + (32734987/403387928)*a + (20588919/403387928)*a^2 + (109270377/403387928)*s + (-132263545/403387928)*s*a + (15619467/403387928)*s*a^2 ; [(1, 2)] (-87844825/100846982) + (20008722/50423491)*a + (-187354095/100846982)*a^2 + (521457281/2319480586)*s + (-134334278/1159740293)*s*a + (-385700801/2319480586)*s*a^2 ; [(0, 3)] (7301028/50423491) + (-17574492/50423491)*a + (-22513264/50423491)*a^2 + (20048820/1159740293)*s + (215741964/1159740293)*s*a + (-56146996/1159740293)*s*a^2\nT = [(3, 0)] (66129382/50423491) + (-192818635/403387928)*a + (-19744160/50423491)*a^2 + (-11354964/1159740293)*s + (-1510081225/9277922344)*s*a + (11628435/1159740293)*s*a^2 ; [(2, 1)] (304161869/403387928) + (-454505293/403387928)*a + (40713131/403387928)*a^2 + (-1545498057/9277922344)*s + (-295606015/9277922344)*s*a + (4656138217/9277922344)*s*a^2 ; [(1, 2)] (-11018724/50423491) + (171203839/100846982)*a + (-65529291/100846982)*a^2 + (58768296/1159740293)*s + (-451738903/2319480586)*s*a + (574999841/2319480586)*s*a^2 ; [(0, 3)] (-35317014/50423491) + (34620742/50423491)*a + (12814252/50423491)*a^2 + (-251044794/1159740293)*s + (49031730/1159740293)*s*a + (26276432/1159740293)*s*a^2\nPASS: phi^*q0 = phi^*q1 = phi^*q2 = 0, phi^*F = 0, phi^*G = 0\nPASS: det of the coefficients of lam W, mu W, Z, T is nonzero: (4914892178137949918250123172908/6464450891737803694777158580561) + (-15749033900165633142374786000689/12928901783475607389554317161122)*a + (17297219842143900375844220690307/12928901783475607389554317161122)*a^2 + (-13557558631108102253735002633960/148682370509969484979874647352903)*s + (34504367036449050563319831866581/297364741019938969959749294705806)*s*a + (-20277643603004824566761612961271/297364741019938969959749294705806)*s*a^2\nPASS: q_k(tau^j phi) != 0 for j = 1, 2 and k = 0, 1, 2; C, tau C, tau^2 C pairwise distinct\nPASS: C meets x = y = 0 exactly in P0 = (0:0:a:1) and P1 = (0:0:tau(a):1)\nsource cross-check: q_k(P0) = q_k(P1) = 0; q0(P2) = q1(P2) = 0, q2(P2) = (3) + (1)*a + (4/23)*s + (-9/23)*s*a + (-6/23)*s*a^2\nPASS: coefficient of x^3: 1 in F, 0 in G; coefficient of x y^2 in G: 288\nsource cross-check: grevlex leading monomials of q0, q1, q2 - c q1: [(2, 0, 0, 0), (1, 1, 0, 0), (0, 2, 0, 0)]\nsource cross-check: q0, q1, q2 at (a, s) = (17, 6) mod 59 are the displayed quadrics; phi mod 59 is a twisted cubic on them (det = 40 mod 59)\nPASS 1.4.1b\n" }, { "path": "anc/code/1.4.1/expected/1.4.1c.txt", "size_bytes": 748, "sha256": "c45f0db97fc13ec179fd73ee8d9e4240decd8c47d72e2cbc179d122d7dc131ba", "mode": 420, "encoding": "utf-8", "text": "### python3 -I -B 1.4.1c_bad_primes.py\ndet M1 (order x,y,z,t) = 113998605357213165583630246464 = 2^6 * 3^17 * 7 * 23 * 29 * 31 * 59^2 * 337 * 9013^2\ndet M2 (order x,y,t,z) = 64593821745942230599147202112 = 2^6 * 3^19 * 23 * 31 * 59^3 * 73 * 9013^2\ngcd = 2^6 * 3^17 * 23 * 31 * 59^2 * 9013^2\ndegree-5 map (F, partials): 90 x 56; ranks mod p: {2: 50, 3: 56, 23: 55, 29: 56, 31: 55, 59: 55, 9013: 55}\nsingular F_p-points (F and all partials vanish): {23: (1, 18, 3, 10), 31: (1, 23, 28, 12), 59: (1, 47, 12, 14), 9013: (1, 7636, 7996, 3944)}\nmod 2: F and all partials vanish at (1 : r^3 + r : r^5 : r) for the 3 roots r of r^3+r^2+1 in F_8\nG(P31) mod 31 at s = 15, 16: 6 16\nconsistency: singular F_31-points of S mod 31: [(1, 23, 28, 12)]\nPASS 1.4.1c\n" }, { "path": "anc/code/1.4.1/expected/1.4.1d.txt", "size_bytes": 516, "sha256": "1ef15693596baab77a7583d36c974760f08f917ec76f1fd0a2ec9a7bec6f66d9", "mode": 420, "encoding": "utf-8", "text": "### ./local_residues 2 5\np = 2, N = 32: square roots of -23 mod N: s = 13 (= 5 mod 8), s = 19 (= 3 mod 8)\nprimitive solutions of F = 0 mod N: 12288\n (v_p G at s = 13, v_p G at s = 19) = (1, 4): 12288 quadruples\nPASS: one valuation pair, determined modulo N\n### ./local_residues 2 6\np = 2, N = 64: square roots of -23 mod N: s = 19 (= 3 mod 8), s = 45 (= 5 mod 8)\nprimitive solutions of F = 0 mod N: 98304\n (v_p G at s = 19, v_p G at s = 45) = (4, 1): 98304 quadruples\nPASS: one valuation pair, determined modulo N\n" }, { "path": "anc/code/1.4.1/expected/1.4.1e.txt", "size_bytes": 516, "sha256": "79faa86eac58ed9e5e0ce3bcba8b2cd241b0f817d97ed2689f85f5584cac4a23", "mode": 420, "encoding": "utf-8", "text": "### ./local_residues 3 3\np = 3, N = 27: square roots of -23 mod N: s = 2 (= 2 mod 3), s = 25 (= 1 mod 3)\nprimitive solutions of F = 0 mod N: 10206\n (v_p G at s = 2, v_p G at s = 25) = (0, 1): 10206 quadruples\nPASS: one valuation pair, determined modulo N\n### ./local_residues 3 4\np = 3, N = 81: square roots of -23 mod N: s = 25 (= 1 mod 3), s = 56 (= 2 mod 3)\nprimitive solutions of F = 0 mod N: 275562\n (v_p G at s = 25, v_p G at s = 56) = (1, 0): 275562 quadruples\nPASS: one valuation pair, determined modulo N\n" }, { "path": "anc/code/1.4.1/expected/1.4.1f.txt", "size_bytes": 667, "sha256": "7d30068342e9653a70b0d61766694c48c882e2dd388a0e6e104f8bf9702443c0", "mode": 420, "encoding": "utf-8", "text": "### python3 -I -B 1.4.1f_local_points.py\np = 2: (1, 0, 1, 1), F = 0, gradient mod p = (1, 0, 0, 1)\np = 23: (1, 0, 0, 6), F = 0, gradient mod p = (16, 12, 10, 5)\np = 31: (1, 0, 0, 20), F = 0, gradient mod p = (0, 5, 3, 0)\np = 59: (1, 0, 1, 10), F = 0, gradient mod p = (45, 30, 23, 5)\np = 9013: (1, 0, 0, 8363), F = 0, gradient mod p = (7905, 1113, 1111, 4380)\np = 3: 7 points of S mod 3: [(0, 1, 1, 0), (0, 1, 1, 1), (1, 0, 0, 1), (1, 0, 1, 0), (1, 1, 0, 2), (1, 1, 2, 0), (1, 2, 2, 0)]; (1,0,0,1) has gradient (1, 1, 2, 2) mod 3\nreal point: F(1,0,0,-2) = -3 < 0 < F(1,0,0,-1) = 1\nx = 0: F(0,1,z,0) = z^3 + z + 1, z = 1 is a simple root mod 3\nPASS 1.4.1f\n" }, { "path": "anc/code/1.4.10/expected/1.4.10a.txt", "size_bytes": 1674, "sha256": "f8c86c580f96ab681d235f472a2f3faee71426075fbabdf0b6e8c3cbbdfdb501", "mode": 420, "encoding": "utf-8", "text": "4x^5 + 4y^5 + 11z^5 = 0: H = 608\n x = 0: -4/11 is not a fifth power (v_2)\n y = 0: -4/11 is not a fifth power (v_2)\n z = 0: x^5 = -y^5, so y = -x\nmod 4: 11z^5 = 0, so z = 2w and x^5 + y^5 + 88w^5 = 0 (88 = 2^3*11)\nequation 1x^5 + 1y^5 + 88w^5 = 0: coefficients pairwise coprime, coefficient primes [2, 11], every exponent between 1 and 4; 2 coefficient(s) of absolute value 1\n p = 2: v_2(A, B, C) = [0, 0, 3]\n p = 11: v_p(A, B, C) = [0, 0, 1]; v_p(Delta_min) = 2 v_p(coefficient) + 10 v_p(variable) = 2 + 10k (mod 5: 2)\n even term 88w^5, v_2(w) = 0: r = 3, type III* f_2 = 3, v_2(Delta_min) = 10, 2 in N_5; N_5 = 88\n even term 88w^5, v_2(w) = 1: r = 8, type I8 f_2 = 1, v_2(Delta_min) = 8, 2 in N_5; N_5 = 22\n even term 88w^5, v_2(w) = 2: r = 13, type I18 f_2 = 1, v_2(Delta_min) = 18, 2 in N_5; N_5 = 22\n even term 88w^5, v_2(w) = 3 (and likewise for every e > 3): r = 18, type I28 f_2 = 1, v_2(Delta_min) = 28, 2 in N_5; N_5 = 22\n odd part of rad(ABC) = 11; the prime 5: removed (5 does not divide ABC: good reduction, or multiplicative with 5 | v_5(Delta_min))\n levels N_5: [22, 88]\nprojective points of x^5 + y^5 + 88w^5 = 0 over F_3: [(1, 0, 2), (1, 1, 1), (1, 2, 0), (0, 1, 2)]\n x = y = w = 1 mod 3: reduced Frey curve Y^2 = X(X - 2)(X + 2) = X^3 - X, a_3 = 0\n x = y = w = 2 mod 3: reduced Frey curve Y^2 = X(X - 1)(X + 1) = X^3 - X, a_3 = 0\n q = 3: 4 points, 3 with a zero coordinate (q+1 = 4 = 4 mod 5); traces a_q at the others: {0} T_q = {0,1,4}\nnonzero fifth powers mod 25 S = [1, 7, 18, 24]; S + S = [0, 2, 6, 8, 11, 14, 17, 19, 23]; -88 S = [9, 12, 13, 16]\n -88 S is disjoint from S and from S + S\nPASS 1.4.10a\n" }, { "path": "anc/code/1.4.10/expected/1.4.10b.txt", "size_bytes": 647, "sha256": "f8b949df42ff17c9a2ba0a616e5871c29faf7bd2e28f6465f97d5822d58a6a18", "mode": 420, "encoding": "utf-8", "text": "(1) Frey curve at 2: f_2 = 3, v_2(Delta_min) = 10 (w odd); f_2 = 1, v_2(Delta_min) = 10 v_2(w) - 2 (w even): 1024 residue classes\n(2) level 22: dim S_2^new = 0\n level 88: dim S_2^new = 3, orbits of dimensions [1, 2]; minimal polynomials of a_3: [x + 3, x^2 - x - 4]\n values at T = 0, 1, 4 modulo 5: [[3, 4, 2], [1, 1, 3]]\nlevel 88: dim S_2^new = 3, orbits = 2, field degrees = [1, 2]\n orbit 1: P=y [e,f]=[1,1] killed at q=3 (a_q=-3)\n orbit 2: P=y^2 - y - 4 [e,f]=[1,2] killed at q=3 (a_q=y)\n pairs (orbit, lambda): 2; after q=3: 0\nPASS 1.4.10b: no newform of level 22; no newform of level 88 has a_3 in {0, 1, 4} modulo a prime above 5\n" }, { "path": "anc/code/1.4.2/expected/1.4.2a.txt", "size_bytes": 585, "sha256": "4c0db8b8339bff79e30bf0ac2bbe7b236d12c0563dc9ddd02b134f3730a58b93", "mode": 420, "encoding": "utf-8", "text": "=== 1.4.2a: 1.4.2a_fields.py ===\nh = q^3 - q + 1: no rational root; disc(h) = -23 (squarefree)\nh mod 23 = (q-13)^2 (q-20); simple root 20\nh has no root mod 2 and mod 3 (irreducible there)\n2 and 3 split in K; s2 = 617517 mod 2^20 (= 45 mod 256), s3 = 8935 mod 3^10 (= 25 mod 81, 187 mod 243)\nRes(h, 3q^2-1) = N(3q^2-1) = 23\nprimes 3 <= p < 3000, p != 23: (behaviour in K, number of roots of h) -> [(('inert', 1), 217), (('split', 0), 144), (('split', 3), 67)]\nreduced forms of discriminant -23: [(1, 1, 6), (2, -1, 3), (2, 1, 3)]\nPASS 1.4.2a\nPASS: all requested checks of section 1.4.2\n" }, { "path": "anc/code/1.4.2/expected/1.4.2b.txt", "size_bytes": 491, "sha256": "55048bef2138a9940e97d2b0cd21c83382d0d4b5fa22e2780e2be493c3a4ecf7", "mode": 420, "encoding": "utf-8", "text": "=== 1.4.2b: 1.4.2b_plane.py ===\ntau(q) = -3*s*u**2/23 - 9*s*u/46 + 2*s/23 - u/2\np = s*u**2/46 + 3*s*u/92 - 9*s/92 + u**2/2 + 3*u/4 - 1/4\nF(x,(1-s)x/4,z,t) = -prod_i (t - tau^i(p) x - tau^i(q) z): verified\nresultant form of the identity: verified\ndet = s/2 - 1/2 N(det) = 6\n4(3q^2-1)p = -s*u**2 + u**2 - 8 (integral)\nconjugate identity (s -> -s): verified\nF(0,0,z,t) = -t**3 + t*z**2 - z**3 ; r^3 - r^2 + 1 has no rational root\nH = 96\nPASS 1.4.2b\nPASS: all requested checks of section 1.4.2\n" }, { "path": "anc/code/1.4.2/expected/1.4.2c.txt", "size_bytes": 1277, "sha256": "5e5b17dbc0138e6556f32fcad8a38e967f0e2c90b92e576490440f20b7055364", "mode": 420, "encoding": "utf-8", "text": "=== 1.4.2c: 1.4.2c_residues.py ===\np=2, mod 2^8: level sizes [3, 12, 48, 192, 768, 3072, 12288, 49152] pairs [((2, 1), 16384), ((2, 4), 16384), ((5, 1), 16384)]\n by residue mod 2: {(1, 0, 0, 0): [(2, 1)], (1, 1, 1, 1): [(5, 1)], (0, 1, 1, 1): [(2, 4)]} v(l_+) - v(l_-) = 1 mod 3 on all classes\n every pair determined from 2^6 on\np=3, mod 3^5: level sizes [4, 36, 324, 2916, 26244] pairs [((0, 0), 19683), ((3, 0), 6561)]\n by residue mod 3: {(1, 0, 0, 2): [(3, 0)], (1, 1, 1, 0): [(0, 0)], (1, 1, 2, 0): [(0, 0)], (0, 1, 0, 2): [(0, 0)]} v(l_+) - v(l_-) = 0 mod 3 on all classes\n every pair determined from 3^4 on\nmod 16: x,y,z,t odd => y = 13x; x even, y,z,t odd => x = 6y\nat (1,0,0,-1) mod 3, x = 1: y = 3Y with Y mod 27 in [7, 16]\nhand reduction at (1,0,0,-1): F/3 = 1+2Y (mod 3), = 6(1+Y1) (mod 9) for Y = 1+3Y1,\n = 9(2Y2+1+2T^2+TZ^2-Z^2) (mod 27) for Y = 7+9Y2; 2T^2+TZ^2+2Z^2 mod 3 in {0,2}\n(s2-1)/4 = 11 mod 64, (s2+1)/2 = 23 mod 128, s3 = 25 mod 81\nPASS 1.4.2c\n=== C: brute_residues.c B ===\nB mod 2^6 (s=45): 98304 primitive solutions; pairs (v(l+),v(l-)):count (2,1):32768 (2,4):32768 (5,1):32768\nB mod 3^4 (s=25): 157464 primitive solutions; pairs (v(l+),v(l-)):count (0,0):118098 (3,0):39366\nPASS brute_residues B\nPASS: all requested checks of section 1.4.2\n" }, { "path": "anc/code/1.4.2/expected/1.4.2d.txt", "size_bytes": 232, "sha256": "ccecdd3ba1847334304c79c6e0d17c6a5cbfc005879177777047b34eff6771d5", "mode": 420, "encoding": "utf-8", "text": "=== 1.4.2d: 1.4.2d_split_primes.py ===\nsplit primes with h irreducible, 5 <= p < 500: 32 primes, from 13 to 499\nno zero of the plane section mod p for either root of s^2 = -23\nPASS 1.4.2d\nPASS: all requested checks of section 1.4.2\n" }, { "path": "anc/code/1.4.3/expected/1.4.3a.txt", "size_bytes": 665, "sha256": "e3cb4fb83bdde24ff1ffe1ca6d9fc3ea71f117782913c3c791c6d7e2b84bb5e4", "mode": 420, "encoding": "utf-8", "text": "=== 1.4.3a: 1.4.3a_fields.py ===\ng = u^3 - 4u - 4: no rational root; disc(g) = -176 = -2^4*11; disc(h_C) = -44\nu = v^2 - 1, v = u^2/2 - 1: inverse maps between the roots of h_C and g\nh_C(v+1) = v**3 + 2*v**2 - 2 (Eisenstein at 2)\nq = u/2: 2q^3 - 2q - 1 = g(u)/4\ng mod 11 = (u-4)^2 (u-3); simple root 3\ng has no root mod 3\n3 splits in K, s3 = 3190 mod 3^8 (= 31 mod 81); 2 is inert in K\nw = (1+s)/2: w^2 - w + 3 = 0, 2+s = 1+2w, 2-s = 3-2w\nRes(g, 3u^2-4) = N(3u^2-4) = 176\nprimes 3 <= p < 3000, p != 11: (behaviour in K, number of roots of g) -> [(('inert', 1), 219), (('split', 0), 144), (('split', 3), 65)]\nPASS 1.4.3a\nPASS: all requested checks of section 1.4.3\n" }, { "path": "anc/code/1.4.3/expected/1.4.3b.txt", "size_bytes": 502, "sha256": "aaf8cb087a2e7b01f45edb772e96560ba0f897b127309fd2a7c91bdfa07cbfd6", "mode": 420, "encoding": "utf-8", "text": "=== 1.4.3b: 1.4.3b_plane.py ===\ntau(u) = -3*s*u**2/11 + 9*s*u/22 + 8*s/11 - u/2\np = -s*u**2/11 + 3*s*u/22 + 8*s/33 - 1/3\nF(x,y,z,-(2+s)y/3) = 2 prod_i (x - tau^i(p) y - tau^i(q) z): verified\nresultant form of the identity: verified (denominator 6^3*176)\ndet = 2\n3q^2 - 1 = (3u^2 - 4)/4, N(3u^2 - 4) = 176\nconjugate identity (s -> -s): verified\nF(x,0,z,0) = 2*x**3 - 2*x*z**2 - z**3 ; with r = z/x it is -(r^3 + 2r^2 - 2), no rational root\nH = 96\nPASS 1.4.3b\nPASS: all requested checks of section 1.4.3\n" }, { "path": "anc/code/1.4.3/expected/1.4.3c.txt", "size_bytes": 967, "sha256": "d869ad967827168ffcd8047391952d9e6efef8d4c6802a4a1f1f6be1745439c2", "mode": 420, "encoding": "utf-8", "text": "=== 1.4.3c: 1.4.3c_residues.py ===\np=3, mod 3^4: level sizes [4, 36, 324, 2916] pairs [((1, 0), 2187), ((1, 3), 729)]\n by residue mod 3: {(1, 0, 0, 2): [(1, 3)], (1, 1, 0, 0): [(1, 0)], (1, 2, 0, 1): [(1, 0)], (0, 1, 0, 2): [(1, 0)]} v(l_+) - v(l_-) = 1 mod 3 on all classes\n every pair determined from 3^4 on\nclass of (-1,0,0,1), t = 1: y = 3Y with Y mod 27 in [5, 23] ; v(1-29Y) = 2, v(33Y+1) = 0\nhand reduction at (-1,0,0,1): Y = 5 mod 9; Y = 5+9Y2 with Y2 = Z^2(X+1)-X^2-X-1 in {0,2} mod 3\nmod 8: 256 primitive solutions, all with y odd and t even\nmod 4: no solution in the class (1,0,0,0) mod 2 (F = 2 mod 4 there); mod 8: none with y,z,t odd\n (for y,z,t odd, F = 2(x^3 + x^2 y + y - x) mod 8)\nPASS 1.4.3c\n=== C: brute_residues.c C ===\nC mod 3^4 (s=31): 157464 primitive solutions; pairs (v(l+),v(l-)):count (1,0):118098 (1,3):39366\nC mod 8: 256 primitive solutions, 0 with y even or t odd\nPASS brute_residues C\nPASS: all requested checks of section 1.4.3\n" }, { "path": "anc/code/1.4.3/expected/1.4.3d.txt", "size_bytes": 231, "sha256": "f07612f65a3c4f6bf2bfc74426e88ec6305f13ed3f4ca89aa3898472a0351e20", "mode": 420, "encoding": "utf-8", "text": "=== 1.4.3d: 1.4.3d_split_primes.py ===\nsplit primes with g irreducible, 5 <= p < 500: 32 primes, from 5 to 487\nno zero of the plane section mod p for either root of s^2 = -11\nPASS 1.4.3d\nPASS: all requested checks of section 1.4.3\n" }, { "path": "anc/code/1.4.4/expected/1.4.4a.txt", "size_bytes": 497, "sha256": "3e0f1a113f4020dd16696b99445d787eda661aec79d89c0ef20e6c2cbc83c7a6", "mode": 420, "encoding": "utf-8", "text": "=== 1.4.4a: 1.4.4a_identities.py ===\nidentity -fg - 72x^4 - 14(y^2-z^2)^2 = -9Q : ok\nidentity 72x^4 + 14(y^2-z^2)^2 = 2N(6x^2+(y^2-z^2)sqrt(-7)) : ok\nidentity t^4 - 7y^4 - 2A+A- = -Q : ok\nidentity A+A- = 4x^4 + z^4 : ok\nidentity t^4 - 7y^4 = N(t^2 + y^2 sqrt7) : ok\nidentity A+ = x^2 + (x+z)^2 : ok\nidentity A+ - A- = 4xz : ok\nidentity A+ + A- = 4x^2 + 2z^2 : ok\nidentity g - f = 6t^2 : ok\nidentity f - 9y^2 = 2(z^2-y^2) - 3t^2 : ok\nH = 288\nPASS 1.4.4a\nPASS: all requested checks of section 1.4.4\n" }, { "path": "anc/code/1.4.4/expected/1.4.4b.txt", "size_bytes": 589, "sha256": "7d783c4b3272f3005e3b47c8039113247f5881006b5dc21f10420859397da913", "mode": 420, "encoding": "utf-8", "text": "=== 1.4.4b: 1.4.4b_residues.py ===\nmod 16: primitive solutions have parity pattern [(1, 1, 1, 1)]\nx, z odd: A_+ mod 8 in [1, 5] ; y, z, t odd: f mod 8 in [6]\nmod 3: Q = f = 0 only at [(0, 1, 1, 0), (0, 1, 2, 0), (0, 2, 1, 0), (0, 2, 2, 0)]\nmod 81: units w with 7 + 2w^4 = 0 have w^2 = 1 mod 3 and v_3(7 + 2w^2) = 2\nmod 7 (z != 0): (r, s, A_+/z^2, f/z^2) in [(0, 2, 1, 4), (0, 5, 1, 4), (2, 3, 6, 3), (2, 4, 6, 3), (5, 3, 5, 3), (5, 4, 5, 3)] ; for z = 0 both are squares\n(2/7) = 1, (-1/7) = -1, (-7/3) = -1, (7/3) = 1, -7 = 1 mod 8\nPASS 1.4.4b\nPASS: all requested checks of section 1.4.4\n" }, { "path": "anc/code/1.4.4/expected/1.4.4c.txt", "size_bytes": 780, "sha256": "7a7b63b37450014abfcb79afb0ea4b9cad2ecb88043ee98b0aec864d1cf96247", "mode": 420, "encoding": "utf-8", "text": "=== 1.4.4c: 1.4.4c_symbols.py ===\np=2, mod 2^5: level sizes [7, 24, 192, 512, 2048]\n (v_p(f), v_p(A_+), (-7,f)_p, (7,A_+)_p): classes [((1, 0, 1, 1), 2048)]\np=3, mod 3^4: level sizes [10, 90, 810, 7290]\n (v_p(f), v_p(A_+), (-7,f)_p, (7,A_+)_p): classes [((0, '>=4', 1, 1), 162), ((0, 0, 1, 1), 4374), ((0, 2, 1, 1), 1296), ((2, 0, 1, 1), 1458)]\np=7, mod 7^2: level sizes [57, 2744]\n (v_p(f), v_p(A_+), (-7,f)_p, (7,A_+)_p): classes [((0, 0, -1, -1), 1372), ((0, 0, 1, 1), 1372)]\nPASS 1.4.4c\n=== C: brute_residues.c Q ===\nQ mod 3^4: 393660 primitive solutions; v_3(f):count 0:314928 2:78732\nQ mod 7^2: 115248 primitive solutions; f, A+ units at 7 with (f/7)(A+/7) = 1: 115248, = -1: 0, f or A+ divisible by 7: 0\nPASS brute_residues Q\nPASS: all requested checks of section 1.4.4\n" }, { "path": "anc/code/1.4.5/expected/1.4.5a.txt", "size_bytes": 1274, "sha256": "6d7d235555390272ef3e9607cc672b5a833e4381e0aedeb3203a2ba29be8e70d", "mode": 420, "encoding": "utf-8", "text": "14x^5 + 5y^5 + 3z^5 = 0: H = 704\n x = 0: -5/3 is not a fifth power (v_3)\n y = 0: -14/3 is not a fifth power (v_2)\n z = 0: -14/5 is not a fifth power (v_2)\nequation 14x^5 + 5y^5 + 3z^5 = 0: coefficients pairwise coprime, coefficient primes [2, 3, 5, 7], every exponent between 1 and 4; 0 coefficient(s) of absolute value 1\n p = 2: v_2(A, B, C) = [1, 0, 0]\n p = 3: v_p(A, B, C) = [0, 0, 1]; v_p(Delta_min) = 2 v_p(coefficient) + 10 v_p(variable) = 2 + 10k (mod 5: 2)\n p = 5: v_p(A, B, C) = [0, 1, 0]; v_p(Delta_min) = 2 v_p(coefficient) + 10 v_p(variable) = 2 + 10k (mod 5: 2)\n p = 7: v_p(A, B, C) = [1, 0, 0]; v_p(Delta_min) = 2 v_p(coefficient) + 10 v_p(variable) = 2 + 10k (mod 5: 2)\n even term 14x^5, v_2(x) = 0: r = 1, type III f_2 = 5, v_2(Delta_min) = 6, 2 in N_5; N_5 = 3360\n even term 14x^5, v_2(x) = 1: r = 6, type I4 f_2 = 1, v_2(Delta_min) = 4, 2 in N_5; N_5 = 210\n even term 14x^5, v_2(x) = 2: r = 11, type I14 f_2 = 1, v_2(Delta_min) = 14, 2 in N_5; N_5 = 210\n even term 14x^5, v_2(x) = 3 (and likewise for every e > 3): r = 16, type I24 f_2 = 1, v_2(Delta_min) = 24, 2 in N_5; N_5 = 210\n odd part of rad(ABC) = 105; the prime 5: kept (5 | ABC, multiplicative, 5 does not divide v_5(Delta_min))\n levels N_5: [210, 3360]\nPASS 1.4.5a\n" }, { "path": "anc/code/1.4.5/expected/1.4.5b.txt", "size_bytes": 1702, "sha256": "67c977e3a6eb4b6ba0f27b8bcc74eae926d132d7b43010b72b20bf8bbf1b3809", "mode": 420, "encoding": "utf-8", "text": "T_q for 14x^5 + 5y^5 + 3z^5 = 0:\n q = 11: 30 points, 5 with a zero coordinate (q+1 = 12 = 2 mod 5); traces a_q at the others: {0} T_q = {0,2,3}\n q = 13: 14 points, 3 with a zero coordinate (q+1 = 14 = 4 mod 5); traces a_q at the others: {-6,-2,2,6} T_q = {1,2,3,4}\n q = 17: 18 points, 3 with a zero coordinate (q+1 = 18 = 3 mod 5); traces a_q at the others: {-6,-2,2,6} T_q = {1,2,3,4}\n q = 31: 50 points, 0 with a zero coordinate (q+1 = 32 = 2 mod 5); traces a_q at the others: {-4,0,4} T_q = {0,1,4}\n q = 41: 55 points, 5 with a zero coordinate (q+1 = 42 = 2 mod 5); traces a_q at the others: {-6,6} T_q = {1,2,3,4}\n q = 61: 50 points, 0 with a zero coordinate (q+1 = 62 = 2 mod 5); traces a_q at the others: {-6,-2,2,6} T_q = {1,2,3,4}\n q = 71: 50 points, 0 with a zero coordinate (q+1 = 72 = 2 mod 5); traces a_q at the others: {-12,-8,8,12} T_q = {2,3}\n q = 101: 80 points, 5 with a zero coordinate (q+1 = 102 = 2 mod 5); traces a_q at the others: {-6,-2,2,6} T_q = {1,2,3,4}\n q = 131: 105 points, 5 with a zero coordinate (q+1 = 132 = 2 mod 5); traces a_q at the others: {-12,0,12} T_q = {0,2,3}\n q = 151: 105 points, 5 with a zero coordinate (q+1 = 152 = 2 mod 5); traces a_q at the others: {-8,-4,4,8} T_q = {1,2,3,4}\n q = 181: 215 points, 15 with a zero coordinate (q+1 = 182 = 2 mod 5); traces a_q at the others: {-26,-22,22,26} T_q = {1,2,3,4}\n q = 191: 205 points, 5 with a zero coordinate (q+1 = 192 = 2 mod 5); traces a_q at the others: {-24,-12,-8,8,12,24} T_q = {1,2,3,4}\nPASS 1.4.5b: the twelve sets of the table\n" }, { "path": "anc/code/1.4.5/expected/1.4.5c.txt", "size_bytes": 3478, "sha256": "9a55d2ea53405062880210517803df78be2c9bddbfd6bfc6a74ddc4c2fcc58eb", "mode": 420, "encoding": "utf-8", "text": "(1) Frey curve at 2: f_2 = 5, v_2(Delta_min) = 6 (x odd); f_2 = 1, v_2(Delta_min) = 10 v_2(x) - 6 (x even): 2048 residue classes\n(2) test primes q = [11, 13, 17, 31, 41, 61, 71, 101, 131, 151, 181, 191]\nlevel 210: dim S_2^new = 5, orbits = 5, field degrees = [1, 1, 1, 1, 1]\n orbit 1: P=y [e,f]=[1,1] killed at q=11 (a_q=4)\n orbit 2: P=y [e,f]=[1,1] killed at q=61 (a_q=-10)\n orbit 3: P=y [e,f]=[1,1] killed at q=11 (a_q=-4)\n orbit 4: P=y [e,f]=[1,1] killed at q=11 (a_q=-4)\n orbit 5: P=y [e,f]=[1,1] killed at q=71 (a_q=0)\n pairs (orbit, lambda): 5; after q=11: 2; after q=13: 2; after q=17: 2; after q=31: 2; after q=41: 2; after q=61: 1; after q=71: 0; after q=101: 0; after q=131: 0; after q=151: 0; after q=181: 0; after q=191: 0\nlevel 3360: dim S_2^new = 48, orbits = 36, field degrees = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3]\n orbit 1: P=y [e,f]=[1,1] killed at q=11 (a_q=-4)\n orbit 2: P=y [e,f]=[1,1] killed at q=31 (a_q=2)\n orbit 3: P=y [e,f]=[1,1] SURVIVES\n orbit 4: P=y [e,f]=[1,1] killed at q=11 (a_q=-4)\n orbit 5: P=y [e,f]=[1,1] killed at q=11 (a_q=-6)\n orbit 6: P=y [e,f]=[1,1] killed at q=11 (a_q=4)\n orbit 7: P=y [e,f]=[1,1] killed at q=13 (a_q=0)\n orbit 8: P=y [e,f]=[1,1] killed at q=31 (a_q=-8)\n orbit 9: P=y [e,f]=[1,1] killed at q=11 (a_q=-4)\n orbit 10: P=y [e,f]=[1,1] killed at q=11 (a_q=6)\n orbit 11: P=y [e,f]=[1,1] killed at q=11 (a_q=4)\n orbit 12: P=y [e,f]=[1,1] SURVIVES\n orbit 13: P=y [e,f]=[1,1] killed at q=31 (a_q=-2)\n orbit 14: P=y [e,f]=[1,1] killed at q=11 (a_q=4)\n orbit 15: P=y [e,f]=[1,1] killed at q=11 (a_q=4)\n orbit 16: P=y [e,f]=[1,1] killed at q=31 (a_q=8)\n orbit 17: P=y [e,f]=[1,1] killed at q=13 (a_q=0)\n orbit 18: P=y [e,f]=[1,1] killed at q=11 (a_q=-4)\n orbit 19: P=y [e,f]=[1,1] killed at q=11 (a_q=4)\n orbit 20: P=y [e,f]=[1,1] killed at q=11 (a_q=4)\n orbit 21: P=y [e,f]=[1,1] killed at q=11 (a_q=-4)\n orbit 22: P=y [e,f]=[1,1] killed at q=11 (a_q=-4)\n orbit 23: P=y [e,f]=[1,1] killed at q=11 (a_q=-4)\n orbit 24: P=y [e,f]=[1,1] killed at q=11 (a_q=-4)\n orbit 25: P=y [e,f]=[1,1] killed at q=11 (a_q=4)\n orbit 26: P=y [e,f]=[1,1] killed at q=11 (a_q=4)\n orbit 27: P=y^2 - y - 4 [e,f]=[1,2] killed at q=11 (a_q=2*y)\n orbit 28: P=y^2 - 3 [e,f]=[1,2] killed at q=11 (a_q=2*y + 2)\n orbit 29: P=y^2 - 2 [e,f]=[1,2] killed at q=11 (a_q=2*y)\n orbit 30: P=y^2 - 2 [e,f]=[1,2] killed at q=11 (a_q=2*y)\n orbit 31: P=y^2 - 3 [e,f]=[1,2] killed at q=11 (a_q=2*y - 2)\n orbit 32: P=y^2 - y - 4 [e,f]=[1,2] killed at q=11 (a_q=-2*y)\n orbit 33: P=y^2 - y - 1 [e,f]=[2,1] killed at q=13 (a_q=-4*y + 2)\n orbit 34: P=y^2 - y - 1 [e,f]=[2,1] killed at q=13 (a_q=-4*y + 2)\n orbit 35: P=y^3 - y^2 - 3*y + 1 [e,f]=[1,1] killed at q=17 (a_q=-4*y + 2) [e,f]=[1,2] killed at q=11 (a_q=-2*y^2 + 6)\n orbit 36: P=y^3 - y^2 - 3*y + 1 [e,f]=[1,1] killed at q=17 (a_q=-4*y + 2) [e,f]=[1,2] killed at q=11 (a_q=2*y^2 - 6)\n pairs (orbit, lambda): 38; after q=11: 12; after q=13: 8; after q=17: 6; after q=31: 2; after q=41: 2; after q=61: 2; after q=71: 2; after q=101: 2; after q=131: 2; after q=151: 2; after q=181: 2; after q=191: 2\n survivor: orbit 3 (rational), a_q for q in Q: [0, 2, -2, 4, -6, 6, 8, 6, 0, 12, 6, -8]\n survivor: orbit 12 (rational), a_q for q in Q: [0, 2, -2, -4, -6, 6, -8, 6, 0, -12, 6, 8]\nPASS 1.4.5c: level 210: no survivor; level 3360: exactly two rational orbits survive\n" }, { "path": "anc/code/1.4.5/expected/1.4.5d.txt", "size_bytes": 857, "sha256": "1a73ada474ab94f34de3cc1902f602f67c50e8b09b0993d4d98fb200560d3516", "mode": 420, "encoding": "utf-8", "text": "(1) surviving orbits at level 3360: [3, 12]\n(2) G+ = [0, 1, 0, -890, -10200]: conductor 3360, Delta_min = [2, 6; 3, 6; 5, 2; 7, 4], gcd(c4, 15) = 1, Kodaira types at 3, 5: I6, I2\n(2) G- = [0, -1, 0, -890, 10200]: conductor 3360, Delta_min = [2, 6; 3, 6; 5, 2; 7, 4], gcd(c4, 15) = 1, Kodaira types at 3, 5: I6, I2\n(3) index of Gamma_0(3360) = 9216, Sturm bound = 1536\n orbit 3: a_0..a_1536 equal those of G+\n orbit 12: a_0..a_1536 equal those of G-\n(4) v_3(Delta_G) = 6, v_5(Delta_G) = 2; v_3(Delta_E) = v_5(Delta_E) = 2 mod 5;\n ratio at 3: 6/2 = 3 mod 5, square: 0; ratio at 5: 2/2 = 1 mod 5, square: 1\n isogeny class of G+ (4 curves): (v_3, v_5)(Delta_min) = [[6, 2], [3, 1], [12, 1], [3, 4]]; v_3/v_5 is a nonsquare mod 5 for all of them\nPASS 1.4.5d: the survivors are the newforms of G+ and G-; ratios 3 (nonsquare) at 3 and 1 (square) at 5\n" }, { "path": "anc/code/1.4.6/expected/1.4.6a.txt", "size_bytes": 1272, "sha256": "478946f40ff4683c884630d81bf19649d4005cdf73c3f70b74b6b4f145f8da10", "mode": 420, "encoding": "utf-8", "text": "21x^5 + 5y^5 + 4z^5 = 0: H = 960\n x = 0: -5/4 is not a fifth power (v_2)\n y = 0: -21/4 is not a fifth power (v_2)\n z = 0: -21/5 is not a fifth power (v_3)\nequation 21x^5 + 5y^5 + 4z^5 = 0: coefficients pairwise coprime, coefficient primes [2, 3, 5, 7], every exponent between 1 and 4; 0 coefficient(s) of absolute value 1\n p = 2: v_2(A, B, C) = [0, 0, 2]\n p = 3: v_p(A, B, C) = [1, 0, 0]; v_p(Delta_min) = 2 v_p(coefficient) + 10 v_p(variable) = 2 + 10k (mod 5: 2)\n p = 5: v_p(A, B, C) = [0, 1, 0]; v_p(Delta_min) = 2 v_p(coefficient) + 10 v_p(variable) = 2 + 10k (mod 5: 2)\n p = 7: v_p(A, B, C) = [1, 0, 0]; v_p(Delta_min) = 2 v_p(coefficient) + 10 v_p(variable) = 2 + 10k (mod 5: 2)\n even term 4z^5, v_2(z) = 0: r = 2, type I1* f_2 = 3, v_2(Delta_min) = 8, 2 in N_5; N_5 = 840\n even term 4z^5, v_2(z) = 1: r = 7, type I6 f_2 = 1, v_2(Delta_min) = 6, 2 in N_5; N_5 = 210\n even term 4z^5, v_2(z) = 2: r = 12, type I16 f_2 = 1, v_2(Delta_min) = 16, 2 in N_5; N_5 = 210\n even term 4z^5, v_2(z) = 3 (and likewise for every e > 3): r = 17, type I26 f_2 = 1, v_2(Delta_min) = 26, 2 in N_5; N_5 = 210\n odd part of rad(ABC) = 105; the prime 5: kept (5 | ABC, multiplicative, 5 does not divide v_5(Delta_min))\n levels N_5: [210, 840]\nPASS 1.4.6a\n" }, { "path": "anc/code/1.4.6/expected/1.4.6b.txt", "size_bytes": 1560, "sha256": "0b32867a1d5b5ab37f2ced3d2b8c7a86094a3766c6d733541659981e1d41f1e8", "mode": 420, "encoding": "utf-8", "text": "T_q for 21x^5 + 5y^5 + 4z^5 = 0:\n q = 11: 25 points, 0 with a zero coordinate (q+1 = 12 = 2 mod 5); traces a_q at the others: {-4,4} T_q = {1,4}\n q = 13: 14 points, 3 with a zero coordinate (q+1 = 14 = 4 mod 5); traces a_q at the others: {-6,-2,2,6} T_q = {1,2,3,4}\n q = 17: 18 points, 3 with a zero coordinate (q+1 = 18 = 3 mod 5); traces a_q at the others: {-6,-2,2,6} T_q = {1,2,3,4}\n q = 31: 50 points, 0 with a zero coordinate (q+1 = 32 = 2 mod 5); traces a_q at the others: {-4,0,4} T_q = {0,1,4}\n q = 41: 55 points, 5 with a zero coordinate (q+1 = 42 = 2 mod 5); traces a_q at the others: {-6,6} T_q = {1,2,3,4}\n q = 61: 105 points, 5 with a zero coordinate (q+1 = 62 = 2 mod 5); traces a_q at the others: {-2,2} T_q = {2,3}\n q = 101: 100 points, 0 with a zero coordinate (q+1 = 102 = 2 mod 5); traces a_q at the others: {-6,-2,2,6} T_q = {1,2,3,4}\n q = 131: 150 points, 0 with a zero coordinate (q+1 = 132 = 2 mod 5); traces a_q at the others: {-16,-12,-4,4,12,16} T_q = {1,2,3,4}\n q = 151: 100 points, 0 with a zero coordinate (q+1 = 152 = 2 mod 5); traces a_q at the others: {-8,0,8} T_q = {0,2,3}\n q = 181: 80 points, 5 with a zero coordinate (q+1 = 182 = 2 mod 5); traces a_q at the others: {-22,-18,18,22} T_q = {2,3}\n q = 211: 215 points, 15 with a zero coordinate (q+1 = 212 = 2 mod 5); traces a_q at the others: {-16,-4,4,16} T_q = {1,2,3,4}\nPASS 1.4.6b: the eleven sets of the table\n" }, { "path": "anc/code/1.4.6/expected/1.4.6c.txt", "size_bytes": 1643, "sha256": "ba807da74743b09ead7eea0200e6cf12483417230e87969a5a126d45f280aa56", "mode": 420, "encoding": "utf-8", "text": "(1) Frey curve at 2: f_2 = 3, v_2(Delta_min) = 8 (z odd); f_2 = 1, v_2(Delta_min) = 10 v_2(z) - 4 (z even): 1024 residue classes\n(2) test primes q = [11, 13, 17, 31, 41, 61, 101, 131, 151, 181, 211]\nlevel 210: dim S_2^new = 5, orbits = 5, field degrees = [1, 1, 1, 1, 1]\n orbit 1: P=y [e,f]=[1,1] killed at q=31 (a_q=-8)\n orbit 2: P=y [e,f]=[1,1] killed at q=11 (a_q=0)\n orbit 3: P=y [e,f]=[1,1] killed at q=31 (a_q=-8)\n orbit 4: P=y [e,f]=[1,1] killed at q=61 (a_q=14)\n orbit 5: P=y [e,f]=[1,1] killed at q=11 (a_q=0)\n pairs (orbit, lambda): 5; after q=11: 3; after q=13: 3; after q=17: 3; after q=31: 1; after q=41: 1; after q=61: 0; after q=101: 0; after q=131: 0; after q=151: 0; after q=181: 0; after q=211: 0\nlevel 840: dim S_2^new = 12, orbits = 11, field degrees = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2]\n orbit 1: P=y [e,f]=[1,1] killed at q=31 (a_q=8)\n orbit 2: P=y [e,f]=[1,1] killed at q=11 (a_q=0)\n orbit 3: P=y [e,f]=[1,1] killed at q=41 (a_q=10)\n orbit 4: P=y [e,f]=[1,1] killed at q=41 (a_q=-10)\n orbit 5: P=y [e,f]=[1,1] killed at q=11 (a_q=0)\n orbit 6: P=y [e,f]=[1,1] killed at q=61 (a_q=6)\n orbit 7: P=y [e,f]=[1,1] killed at q=11 (a_q=0)\n orbit 8: P=y [e,f]=[1,1] killed at q=61 (a_q=-10)\n orbit 9: P=y [e,f]=[1,1] killed at q=11 (a_q=0)\n orbit 10: P=y [e,f]=[1,1] killed at q=61 (a_q=6)\n orbit 11: P=y^2 - 2 [e,f]=[1,2] killed at q=11 (a_q=4*y)\n pairs (orbit, lambda): 11; after q=11: 6; after q=13: 6; after q=17: 6; after q=31: 5; after q=41: 3; after q=61: 0; after q=101: 0; after q=131: 0; after q=151: 0; after q=181: 0; after q=211: 0\nPASS 1.4.6c: no survivor at the levels 210 and 840\n" }, { "path": "anc/code/1.4.7/expected/1.4.7a.txt", "size_bytes": 1451, "sha256": "fbb97d62bb0b225e80b35a8f2d234a27f0652d893db7078a1cbb8f47e57f63fd", "mode": 420, "encoding": "utf-8", "text": "17x^5 + 6y^5 + 3z^5 = 0: H = 832\n x = 0: -6/3 is not a fifth power (v_2)\n y = 0: -17/3 is not a fifth power (v_3)\n z = 0: -17/6 is not a fifth power (v_2)\nmod 3: 17x^5 + 6y^5 + 3z^5 = 2x^5, so x = 3X and 1377X^5 + 2y^5 + z^5 = 0 (1377 = 3^4*17)\nequation 1377X^5 + 2y^5 + 1z^5 = 0: coefficients pairwise coprime, coefficient primes [2, 3, 17], every exponent between 1 and 4; 1 coefficient(s) of absolute value 1\n p = 2: v_2(A, B, C) = [0, 1, 0]\n p = 3: v_p(A, B, C) = [4, 0, 0]; v_p(Delta_min) = 2 v_p(coefficient) + 10 v_p(variable) = 8 + 10k (mod 5: 3)\n p = 17: v_p(A, B, C) = [1, 0, 0]; v_p(Delta_min) = 2 v_p(coefficient) + 10 v_p(variable) = 2 + 10k (mod 5: 2)\n even term 2y^5, v_2(y) = 0: r = 1, type III f_2 = 5, v_2(Delta_min) = 6, 2 in N_5; N_5 = 1632\n even term 2y^5, v_2(y) = 1: r = 6, type I4 f_2 = 1, v_2(Delta_min) = 4, 2 in N_5; N_5 = 102\n even term 2y^5, v_2(y) = 2: r = 11, type I14 f_2 = 1, v_2(Delta_min) = 14, 2 in N_5; N_5 = 102\n even term 2y^5, v_2(y) = 3 (and likewise for every e > 3): r = 16, type I24 f_2 = 1, v_2(Delta_min) = 24, 2 in N_5; N_5 = 102\n odd part of rad(ABC) = 51; the prime 5: removed (5 does not divide ABC: good reduction, or multiplicative with 5 | v_5(Delta_min))\n levels N_5: [102, 1632]\nfifth powers mod 25: [0, 1, 7, 18, 24]; 1377 = 2 mod 25\nsolutions (X, y, z) mod 5 of 1377X^5 + 2y^5 + z^5 = 0 mod 25: [(0, 0, 0), (1, 4, 0), (2, 3, 0), (3, 2, 0), (4, 1, 0)]\nPASS 1.4.7a\n" }, { "path": "anc/code/1.4.7/expected/1.4.7b.txt", "size_bytes": 740, "sha256": "850a5149b2b0be6345b4fe50ca237be255563467e7798b7a546add3b0c329511", "mode": 420, "encoding": "utf-8", "text": "T_q for 1377X^5 + 2y^5 + z^5 = 0:\n q = 11: 5 points, 5 with a zero coordinate (q+1 = 12 = 2 mod 5); traces a_q at the others: {} T_q = {2,3}\n q = 31: 50 points, 0 with a zero coordinate (q+1 = 32 = 2 mod 5); traces a_q at the others: {-4,0,4} T_q = {0,1,4}\n q = 41: 25 points, 0 with a zero coordinate (q+1 = 42 = 2 mod 5); traces a_q at the others: {-10,10} T_q = {0}\n q = 131: 105 points, 5 with a zero coordinate (q+1 = 132 = 2 mod 5); traces a_q at the others: {-12,0,12} T_q = {0,2,3}\n q = 241: 155 points, 5 with a zero coordinate (q+1 = 242 = 2 mod 5); traces a_q at the others: {-18,-10,10,18} T_q = {0,2,3}\nPASS 1.4.7b: the five sets of the table\n" }, { "path": "anc/code/1.4.7/expected/1.4.7c.txt", "size_bytes": 2098, "sha256": "c81cae0fef3ec81d92bf5664b84709906139e8bb16074f0c007942cccdce2e3f", "mode": 420, "encoding": "utf-8", "text": "(1) Frey curve at 2: f_2 = 5, v_2(Delta_min) = 6 (y odd); f_2 = 1, v_2(Delta_min) = 10 v_2(y) - 6 (y even): 1024 residue classes\n(2) test primes q = [41, 11, 131, 31, 241]\nlevel 102: dim S_2^new = 3, orbits = 3, field degrees = [1, 1, 1]\n orbit 1: P=y [e,f]=[1,1] killed at q=11 (a_q=-4)\n orbit 2: P=y [e,f]=[1,1] killed at q=41 (a_q=6)\n orbit 3: P=y [e,f]=[1,1] killed at q=11 (a_q=0)\n pairs (orbit, lambda): 3; after q=41: 2; after q=11: 0; after q=131: 0; after q=31: 0; after q=241: 0\nlevel 1632: dim S_2^new = 32, orbits = 20, field degrees = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3]\n orbit 1: P=y [e,f]=[1,1] killed at q=11 (a_q=4)\n orbit 2: P=y [e,f]=[1,1] killed at q=11 (a_q=-5)\n orbit 3: P=y [e,f]=[1,1] killed at q=41 (a_q=-2)\n orbit 4: P=y [e,f]=[1,1] killed at q=131 (a_q=9)\n orbit 5: P=y [e,f]=[1,1] killed at q=11 (a_q=-4)\n orbit 6: P=y [e,f]=[1,1] killed at q=11 (a_q=5)\n orbit 7: P=y [e,f]=[1,1] killed at q=41 (a_q=-2)\n orbit 8: P=y [e,f]=[1,1] killed at q=131 (a_q=-9)\n orbit 9: P=y [e,f]=[1,1] killed at q=41 (a_q=-7)\n orbit 10: P=y [e,f]=[1,1] killed at q=11 (a_q=-1)\n orbit 11: P=y [e,f]=[1,1] killed at q=11 (a_q=1)\n orbit 12: P=y [e,f]=[1,1] killed at q=41 (a_q=-7)\n orbit 13: P=y^2 - y - 8 [e,f]=[1,2] killed at q=41 (a_q=y + 6)\n orbit 14: P=y^2 - y - 4 [e,f]=[1,2] killed at q=41 (a_q=y - 11)\n orbit 15: P=y^2 - y - 8 [e,f]=[1,2] killed at q=41 (a_q=y + 6)\n orbit 16: P=y^2 - y - 4 [e,f]=[1,2] killed at q=41 (a_q=y - 11)\n orbit 17: P=y^3 - y^2 - 4*y + 2 [e,f]=[1,3] killed at q=41 (a_q=3*y^2 - 2*y - 8)\n orbit 18: P=y^3 - 4*y - 1 [e,f]=[1,3] killed at q=41 (a_q=-y^2 + 3*y + 1)\n orbit 19: P=y^3 - y^2 - 4*y + 2 [e,f]=[1,3] killed at q=41 (a_q=3*y^2 - 2*y - 8)\n orbit 20: P=y^3 - 4*y - 1 [e,f]=[1,3] killed at q=41 (a_q=-y^2 + 3*y + 1)\n pairs (orbit, lambda): 20; after q=41: 8; after q=11: 2; after q=131: 0; after q=31: 0; after q=241: 0\n orbit 4 (degree 1): (a_41, a_11, a_131) = [-5, 3, 9]\n orbit 8 (degree 1): (a_41, a_11, a_131) = [-5, -3, -9]\nPASS 1.4.7c: no survivor at the levels 102 and 1632\n" }, { "path": "anc/code/1.4.8/expected/1.4.8a.txt", "size_bytes": 1792, "sha256": "2ceb43be8a15ee2bba10c9d659e4fcf09c8157b58dd00dab0c7e6abe7932137a", "mode": 420, "encoding": "utf-8", "text": "17x^5 + 9y^5 + 5z^5 = 0: H = 992\n x = 0: -9/5 is not a fifth power (v_3)\n y = 0: -17/5 is not a fifth power (v_5)\n z = 0: -17/9 is not a fifth power (v_3)\nequation 17x^5 + 9y^5 + 5z^5 = 0: coefficients pairwise coprime, coefficient primes [3, 5, 17], every exponent between 1 and 4; 0 coefficient(s) of absolute value 1\n p = 3: v_p(A, B, C) = [0, 2, 0]; v_p(Delta_min) = 2 v_p(coefficient) + 10 v_p(variable) = 4 + 10k (mod 5: 4)\n p = 5: v_p(A, B, C) = [0, 0, 1]; v_p(Delta_min) = 2 v_p(coefficient) + 10 v_p(variable) = 2 + 10k (mod 5: 2)\n p = 17: v_p(A, B, C) = [1, 0, 0]; v_p(Delta_min) = 2 v_p(coefficient) + 10 v_p(variable) = 2 + 10k (mod 5: 2)\n even term 17x^5, v_2(x) = 1: r = 5, type I2 f_2 = 1, v_2(Delta_min) = 2, 2 in N_5; N_5 = 510\n even term 17x^5, v_2(x) = 2: r = 10, type I12 f_2 = 1, v_2(Delta_min) = 12, 2 in N_5; N_5 = 510\n even term 17x^5, v_2(x) = 3 (and likewise for every e > 3): r = 15, type I22 f_2 = 1, v_2(Delta_min) = 22, 2 in N_5; N_5 = 510\n even term 9y^5, v_2(y) = 1: r = 5, type I2 f_2 = 1, v_2(Delta_min) = 2, 2 in N_5; N_5 = 510\n even term 9y^5, v_2(y) = 2: r = 10, type I12 f_2 = 1, v_2(Delta_min) = 12, 2 in N_5; N_5 = 510\n even term 9y^5, v_2(y) = 3 (and likewise for every e > 3): r = 15, type I22 f_2 = 1, v_2(Delta_min) = 22, 2 in N_5; N_5 = 510\n even term 5z^5, v_2(z) = 1: r = 5, type I2 f_2 = 1, v_2(Delta_min) = 2, 2 in N_5; N_5 = 510\n even term 5z^5, v_2(z) = 2: r = 10, type I12 f_2 = 1, v_2(Delta_min) = 12, 2 in N_5; N_5 = 510\n even term 5z^5, v_2(z) = 3 (and likewise for every e > 3): r = 15, type I22 f_2 = 1, v_2(Delta_min) = 22, 2 in N_5; N_5 = 510\n odd part of rad(ABC) = 255; the prime 5: kept (5 | ABC, multiplicative, 5 does not divide v_5(Delta_min))\n levels N_5: [510]\nPASS 1.4.8a\n" }, { "path": "anc/code/1.4.8/expected/1.4.8b.txt", "size_bytes": 599, "sha256": "6ada7c4b3e4e015ad189807a27f19ed88155c2bd130b4c46691eebdcc1774cd3", "mode": 420, "encoding": "utf-8", "text": "T_q for 17x^5 + 9y^5 + 5z^5 = 0:\n q = 11: 5 points, 5 with a zero coordinate (q+1 = 12 = 2 mod 5); traces a_q at the others: {} T_q = {2,3}\n q = 31: 55 points, 5 with a zero coordinate (q+1 = 32 = 2 mod 5); traces a_q at the others: {-8,8} T_q = {2,3}\n q = 41: 25 points, 0 with a zero coordinate (q+1 = 42 = 2 mod 5); traces a_q at the others: {-10,10} T_q = {0}\n q = 71: 50 points, 0 with a zero coordinate (q+1 = 72 = 2 mod 5); traces a_q at the others: {-12,-8,8,12} T_q = {2,3}\nPASS 1.4.8b: the four sets of the table\n" }, { "path": "anc/code/1.4.8/expected/1.4.8c.txt", "size_bytes": 846, "sha256": "199c5283b527af845ea6980966ad3afa77e53c76a593654d73f8c67f4edf577f", "mode": 420, "encoding": "utf-8", "text": "(1) Frey curve at 2: f_2 = 1, v_2(Delta_min) = 10e - 8 (e = v_2 of the even variable): 3072 residue classes (three choices of the even term)\n(2) test primes q = [41, 11, 31, 71]\nlevel 510: dim S_2^new = 9, orbits = 8, field degrees = [1, 1, 1, 1, 1, 1, 1, 2]\n orbit 1: P=y [e,f]=[1,1] killed at q=41 (a_q=8)\n orbit 2: P=y [e,f]=[1,1] killed at q=11 (a_q=0)\n orbit 3: P=y [e,f]=[1,1] killed at q=11 (a_q=4)\n orbit 4: P=y [e,f]=[1,1] killed at q=41 (a_q=-6)\n orbit 5: P=y [e,f]=[1,1] killed at q=41 (a_q=8)\n orbit 6: P=y [e,f]=[1,1] killed at q=41 (a_q=-4)\n orbit 7: P=y [e,f]=[1,1] killed at q=41 (a_q=2)\n orbit 8: P=y^2 - 6 [e,f]=[1,1] killed at q=41 (a_q=2*y + 2) [e,f]=[1,1] killed at q=11 (a_q=0)\n pairs (orbit, lambda): 9; after q=41: 3; after q=11: 0; after q=31: 0; after q=71: 0\nPASS 1.4.8c: no survivor at the level 510\n" }, { "path": "anc/code/1.4.9/expected/1.4.9a.txt", "size_bytes": 1606, "sha256": "93ac094451f5ff9c7215515b14172eba51b91ece28fa2fb857e337aabdfb0be7", "mode": 420, "encoding": "utf-8", "text": "14x^5 + 13y^5 + 2z^5 = 0: H = 928\n x = 0: -13/2 is not a fifth power (v_2)\n y = 0: -14/2 is not a fifth power (v_7)\n z = 0: -14/13 is not a fifth power (v_2)\nmod 2: 14x^5 + 13y^5 + 2z^5 = y^5, so y = 2Y and 7x^5 + 208Y^5 + z^5 = 0 (208 = 2^4*13)\nequation 7x^5 + 208Y^5 + 1z^5 = 0: coefficients pairwise coprime, coefficient primes [2, 7, 13], every exponent between 1 and 4; 1 coefficient(s) of absolute value 1\n p = 2: v_2(A, B, C) = [0, 4, 0]\n p = 7: v_p(A, B, C) = [1, 0, 0]; v_p(Delta_min) = 2 v_p(coefficient) + 10 v_p(variable) = 2 + 10k (mod 5: 2)\n p = 13: v_p(A, B, C) = [0, 1, 0]; v_p(Delta_min) = 2 v_p(coefficient) + 10 v_p(variable) = 2 + 10k (mod 5: 2)\n even term 208Y^5, v_2(Y) = 0: r = 4, type I0 f_2 = 0, v_2(Delta_min) = 0, 2 not in N_5; N_5 = 91\n even term 208Y^5, v_2(Y) = 1: r = 9, type I10 f_2 = 1, v_2(Delta_min) = 10, 2 not in N_5; N_5 = 91\n even term 208Y^5, v_2(Y) = 2: r = 14, type I20 f_2 = 1, v_2(Delta_min) = 20, 2 not in N_5; N_5 = 91\n even term 208Y^5, v_2(Y) = 3 (and likewise for every e > 3): r = 19, type I30 f_2 = 1, v_2(Delta_min) = 30, 2 not in N_5; N_5 = 91\n odd part of rad(ABC) = 91; the prime 5: removed (5 does not divide ABC: good reduction, or multiplicative with 5 | v_5(Delta_min))\n levels N_5: [91]\nfifth powers mod 11: [0, 1, 10]; 208 = 10 mod 11\nprojective points of 7x^5 + 208Y^5 + z^5 = 0 over F_11 (5): [(0, 1, 1), (0, 1, 3), (0, 1, 4), (0, 1, 5), (0, 1, 9)]; all have x = 0 and Yz != 0\n q = 11: 5 points, 5 with a zero coordinate (q+1 = 12 = 2 mod 5); traces a_q at the others: {} T_q = {2,3}\nPASS 1.4.9a\n" }, { "path": "anc/code/1.4.9/expected/1.4.9b.txt", "size_bytes": 744, "sha256": "473aa3f21df15dd368eea209fd420d182342e1da0d1418173a86f6c029773361", "mode": 420, "encoding": "utf-8", "text": "(1) Frey curve at 2: good if Y is odd; f_2 = 1, v_2(Delta_min) = 10 v_2(Y) if Y is even: 1024 residue classes\n(2) level 91: dim S_2^new = 7, orbits of dimensions [1, 1, 2, 3]; minimal polynomials of a_11: [x, x + 6, x^2 - 18, x^3 - 2*x^2 - 6*x + 8]\n values at T = 2, 3 modulo 5: [[2, 3], [3, 4], [1, 1], [1, 4]]\nlevel 91: dim S_2^new = 7, orbits = 4, field degrees = [1, 1, 2, 3]\n orbit 1: P=y [e,f]=[1,1] killed at q=11 (a_q=0)\n orbit 2: P=y [e,f]=[1,1] killed at q=11 (a_q=-6)\n orbit 3: P=y^2 - 2 [e,f]=[1,2] killed at q=11 (a_q=-3*y)\n orbit 4: P=y^3 - y^2 - 4*y + 2 [e,f]=[1,3] killed at q=11 (a_q=y^2 - y - 2)\n pairs (orbit, lambda): 4; after q=11: 0\nPASS 1.4.9b: no newform of level 91 has a_11 = 2 or 3 modulo a prime above 5\n" }, { "path": "anc/code/common/frey_quintic/expected/1.4qa.txt", "size_bytes": 1299, "sha256": "b512b7cc53684a28d98018e38adb28a1bd881af20361c4bfce3ba691943e7bb3", "mode": 420, "encoding": "utf-8", "text": "(1) c4 = 16(u^2+uv+v^2), Delta = 16u^2v^2(u+v)^2; X=4R, Y=8S+4R gives\n S^2+RS = R^3+((v-u-1)/4)R^2-(uv/16)R with c4' = c4/16 = u^2+uv+v^2 and Delta' = Delta/2^12\n(2) r=2: v_2(a2'')=1, a3''=4, 8|a4'', 16|a6'' (type I_1^*); r=3: P(T)=T^3 mod 2, a3=a6=0, v_2(a4)=3 (type III^*): 4096 residue classes\n(3) r=1: type III, f_2=5, v_2(Delta_min)=6 [for u = 1 mod 4: f_2 in [5]]\n(3) r=2: type I1*, f_2=3, v_2(Delta_min)=8 [for u = 1 mod 4: f_2 in [4]]\n(3) r=3: type III*, f_2=3, v_2(Delta_min)=10 [for u = 1 mod 4: f_2 in [4]]\n(3) r=4: type I0, f_2=0, v_2(Delta_min)=0 [for u = 1 mod 4: f_2 in [4]]\n(3) r=5: type I2, f_2=1, v_2(Delta_min)=2 [for u = 1 mod 4: f_2 in [4]]\n(3) r=6: type I4, f_2=1, v_2(Delta_min)=4 [for u = 1 mod 4: f_2 in [4]]\n(3) r=7: type I6, f_2=1, v_2(Delta_min)=6 [for u = 1 mod 4: f_2 in [4]]\n(3) r=8: type I8, f_2=1, v_2(Delta_min)=8 [for u = 1 mod 4: f_2 in [4]]\n(3) r=9: type I10, f_2=1, v_2(Delta_min)=10 [for u = 1 mod 4: f_2 in [4]]\n(3) r=10: type I12, f_2=1, v_2(Delta_min)=12 [for u = 1 mod 4: f_2 in [4]]\n(3) r=11: type I14, f_2=1, v_2(Delta_min)=14 [for u = 1 mod 4: f_2 in [4]]\n(3) r=12: type I16, f_2=1, v_2(Delta_min)=16 [for u = 1 mod 4: f_2 in [4]]\nPASS 1.4qa: Tate table at 2 for u = -1 mod 4 (24576 curves, r = 1..12, u and v/2^r modulo 2^7)\n" }, { "path": "anc/code/common/frey_quintic/expected/1.4qb.txt", "size_bytes": 689, "sha256": "d10e87004acdeea81e9961631e64ec318d2e6b3163ada6eb1175d4ba4996f216", "mode": 420, "encoding": "utf-8", "text": "N = 210 = 2*3*5*7 g(X_0(N)) = 41 dim S_2^new = 5\nN = 3360 = 2^5*3*5*7 g(X_0(N)) = 737 dim S_2^new = 48\nN = 840 = 2^3*3*5*7 g(X_0(N)) = 177 dim S_2^new = 12\nN = 102 = 2*3*17 g(X_0(N)) = 15 dim S_2^new = 3\nN = 1632 = 2^5*3*17 g(X_0(N)) = 273 dim S_2^new = 32\nN = 510 = 2*3*5*17 g(X_0(N)) = 101 dim S_2^new = 9\nN = 91 = 7*13 g(X_0(N)) = 7 dim S_2^new = 7\nN = 88 = 2^3*11 g(X_0(N)) = 9 dim S_2^new = 3\nN = 22 = 2*11 g(X_0(N)) = 2 dim S_2^new = 0\nPASS 1.4qb: new dimensions 5, 48, 12, 3, 32, 9, 7, 3, 0 at the levels 210, 3360, 840, 102, 1632, 510, 91, 88, 22\n" }, { "path": "anc/code/common/frey_quintic/expected/1.4qc.txt", "size_bytes": 1163, "sha256": "c371e1b77db2178e99d0ff70bb9827d619e507d158bedf681857714b835ec09d", "mode": 420, "encoding": "utf-8", "text": "level 210: dim new = 5 (modular symbols) = 5 (mf); charpoly of T_q agrees for q in [11, 13, 17, 31, 41, 61, 71, 101, 131, 151, 181, 191, 211] [1 s]\nlevel 3360: dim new = 48 (modular symbols) = 48 (mf); charpoly of T_q agrees for q in [11, 13, 17, 31, 41, 61, 71, 101, 131, 151, 181, 191] [289 s]\nlevel 840: dim new = 12 (modular symbols) = 12 (mf); charpoly of T_q agrees for q in [11, 13, 17, 31, 41, 61, 101, 131, 151, 181, 211] [9 s]\nlevel 102: dim new = 3 (modular symbols) = 3 (mf); charpoly of T_q agrees for q in [11, 31, 41, 131, 241] [0 s]\nlevel 1632: dim new = 32 (modular symbols) = 32 (mf); charpoly of T_q agrees for q in [11, 31, 41, 131, 241] [12 s]\nlevel 510: dim new = 9 (modular symbols) = 9 (mf); charpoly of T_q agrees for q in [11, 31, 41, 71] [0 s]\nlevel 91: dim new = 7 (modular symbols) = 7 (mf); charpoly of T_q agrees for q in [11] [0 s]\nlevel 88: dim new = 3 (modular symbols) = 3 (mf); charpoly of T_q agrees for q in [3] [0 s]\nlevel 22: dim new = 0 (modular symbols) = 0 (mf); charpoly of T_q agrees for q in [3] [0 s]\nPASS 1.4qc: Hecke polynomials from modular symbols = products over the mf orbits at all 9 levels [313 s]\n" } ] }