\begingroup\footnotesize\setlength{\tabcolsep}{3pt}\setlength{\abovetopsep}{4pt} \begin{longtable}{@{}r r c >{\raggedright\arraybackslash}p{0.80\textwidth}@{}} \caption{The basis $B_1,\dots,B_{24}$ of $\Sel$: $B_j=D_j^{-1}\sum_{k=0}^{2}\sum_{i=0}^{7}n_{j,k,i}\,a^ib^k$, with the coefficient vectors $(n_{j,k,0},\dots,n_{j,k,7})$ listed for $k=0,1,2$. For $j\le12$, $B_j\mathcal O_{\Lt}=\PT_j$ (\cref{tab:Sprimes}); $B_{13},\dots,B_{24}$ are units.}\label{tab:B}\\ \toprule $j$ & $D_j$ & $k$ & $(n_{j,k,0},\dots,n_{j,k,7})$\\\midrule\endfirsthead \toprule $j$ & $D_j$ & $k$ & $(n_{j,k,0},\dots,n_{j,k,7})$\\\midrule\endhead \bottomrule\endfoot $1$ & $57400$ & $0$ & ($616000$, $2248260$, $891800$, $-1045688$, $-793184$, $-129318$, $19824$, $5096$)\\ & & $1$ & ($547500$, $-315440$, $-816200$, $-218468$, $70426$, $25772$, $-1356$, $-564$)\\ & & $2$ & ($-4185000$, $-2994100$, $1328250$, $1522730$, $283140$, $-45170$, $-11215$, $415$)\\ \addlinespace[2pt] $2$ & $57400$ & $0$ & ($-9240840$, $74060$, $8339100$, $1141420$, $-2039352$, $-586194$, $41202$, $18214$)\\ & & $1$ & ($22069160$, $-2441640$, $-18373100$, $-1773180$, $4462728$, $1205316$, $-92178$, $-37796$)\\ & & $2$ & ($36027400$, $-2682100$, $-30642750$, $-3512700$, $7422420$, $2093490$, $-149295$, $-65690$)\\ \addlinespace[2pt] $3$ & $57400$ & $0$ & ($1140160$, $386680$, $-1017520$, $-456624$, $233212$, $136276$, $616$, $-4732$)\\ & & $1$ & ($2379260$, $205380$, $-2220620$, $-502664$, $559582$, $201446$, $-9734$, $-6312$)\\ & & $2$ & ($6561400$, $228200$, $-5753050$, $-1138210$, $1398480$, $478940$, $-21635$, $-15555$)\\ \addlinespace[2pt] $4$ & $28700$ & $0$ & ($23989086072840$, $30139833484950$, $990502126600$, $-13649681055976$, $-6676750244206$, $-713037035417$, $181683706414$, $34086470894$)\\ & & $1$ & ($9523819929090$, $13514680552400$, $3428310034850$, $-3221358499136$, $-1987091283791$, $-247661314582$, $50989168649$, $10401811379$)\\ & & $2$ & ($-19950643879900$, $-23312801675250$, $2611366226500$, $13839146593710$, $6303844887010$, $633088295145$, $-175025073765$, $-31891577190$)\\ \addlinespace[2pt] $5$ & $28700$ & $0$ & ($-985991160$, $-1214681790$, $45500$, $586244540$, $280715946$, $29402093$, $-7682248$, $-1426950$)\\ & & $1$ & ($-987651460$, $-1269154590$, $-98832550$, $518104290$, $261059956$, $28510293$, $-7045973$, $-1336395$)\\ & & $2$ & ($138646850$, $120698650$, $-105762000$, $-164166900$, $-65775785$, $-5836355$, $1900530$, $329450$)\\ \addlinespace[2pt] $6$ & $57400$ & $0$ & ($-3409000$, $866180$, $3970960$, $-94976$, $-1306928$, $-153398$, $65884$, $-728$)\\ & & $1$ & ($-22996300$, $-3982520$, $20509460$, $5247264$, $-4916358$, $-1654828$, $92074$, $50142$)\\ & & $2$ & ($12363000$, $2897200$, $-14398100$, $-5760290$, $4181880$, $2306080$, $11860$, $-83745$)\\ \addlinespace[2pt] $7$ & $57400$ & $0$ & ($768600$, $1877540$, $-56280$, $-1211448$, $-330120$, $71890$, $19068$, $-2716$)\\ & & $1$ & ($-1450000$, $-348260$, $1207520$, $329672$, $-200520$, $-77430$, $2268$, $2444$)\\ & & $2$ & ($-115000$, $2968600$, $826550$, $-1841420$, $-687800$, $92300$, $34895$, $-3840$)\\ \addlinespace[2pt] $8$ & $57400$ & $0$ & ($77409080$, $-21088200$, $-54959380$, $-47376$, $12798408$, $2755340$, $-286874$, $-87668$)\\ & & $1$ & ($-594422120$, $19859600$, $522388420$, $69547264$, $-127339012$, $-37057640$, $2529766$, $1158932$)\\ & & $2$ & ($-774131800$, $49629000$, $663727550$, $79007210$, $-161013680$, $-45581100$, $3242865$, $1427105$)\\ \addlinespace[2pt] $9$ & $57400$ & $0$ & ($-108290280$, $-116689020$, $12816300$, $58431212$, $24139640$, $2147194$, $-669410$, $-118398$)\\ & & $1$ & ($-145634980$, $-140864820$, $29101200$, $66358132$, $18644890$, $-327706$, $-588520$, $-40488$)\\ & & $2$ & ($-28757200$, $-9864800$, $18855500$, $566730$, $-10390400$, $-3287840$, $202700$, $111055$)\\ \addlinespace[2pt] $10$ & $57400$ & $0$ & ($113032920$, $-10160640$, $-95216800$, $-10227644$, $23020088$, $6410796$, $-442456$, $-195678$)\\ & & $1$ & ($17117420$, $-8368840$, $-10121100$, $1822816$, $2312718$, $243396$, $-64106$, $-8998$)\\ & & $2$ & ($-125798700$, $3544900$, $110694750$, $14902740$, $-27007730$, $-7811310$, $577535$, $252530$)\\ \addlinespace[2pt] $11$ & $57400$ & $0$ & ($7091450800$, $9293229960$, $1045060100$, $-3489201268$, $-1808229444$, $-201743192$, $48451410$, $9289574$)\\ & & $1$ & ($-9223554500$, $-10462728340$, $1824257600$, $6844205352$, $3048835666$, $299804258$, $-85204360$, $-15377006$)\\ & & $2$ & ($-19516815000$, $-23744790100$, $719652750$, $12213711280$, $5768619240$, $598529870$, $-158503025$, $-29331340$)\\ \addlinespace[2pt] $12$ & $57400$ & $0$ & ($2634800$, $80220$, $-3025260$, $-583968$, $986580$, $344078$, $-17682$, $-11088$)\\ & & $1$ & ($-5200$, $1063820$, $905840$, $-259848$, $-401220$, $-81602$, $10108$, $2742$)\\ & & $2$ & ($7942000$, $3017300$, $-6039900$, $-2612970$, $1134200$, $563470$, $-12880$, $-16995$)\\ \addlinespace[2pt] $13$ & $5$ & $0$ & ($-1$, $0$, $0$, $0$, $0$, $0$, $0$, $0$)\\ & & $1$ & ($9$, $0$, $0$, $0$, $0$, $0$, $0$, $0$)\\ & & $2$ & ($10$, $0$, $0$, $0$, $0$, $0$, $0$, $0$)\\ \addlinespace[2pt] $14$ & $28700$ & $0$ & ($5349820$, $-284270$, $-4457390$, $-511644$, $1076124$, $300167$, $-21987$, $-9366$)\\ & & $1$ & ($4679370$, $-259570$, $-3891390$, $-476234$, $919389$, $258167$, $-18787$, $-8006$)\\ & & $2$ & ($5980550$, $-671050$, $-4929600$, $-393010$, $1234085$, $327005$, $-25680$, $-10340$)\\ \addlinespace[2pt] $15$ & $28700$ & $0$ & ($-19068560$, $-14470260$, $5720470$, $8143184$, $2262386$, $-11984$, $-72835$, $-5950$)\\ & & $1$ & ($-8892210$, $-19736860$, $-7953330$, $7518324$, $6174471$, $1045676$, $-153485$, $-40175$)\\ & & $2$ & ($14361850$, $-3765400$, $-16321200$, $-1955640$, $4070065$, $1196390$, $-79900$, $-37750$)\\ \addlinespace[2pt] $16$ & $57400$ & $0$ & ($45994480$, $-269640$, $-40799640$, $-6129536$, $9940084$, $3017840$, $-191828$, $-94528$)\\ & & $1$ & ($52616480$, $2206260$, $-47836240$, $-7983896$, $11513624$, $3585770$, $-218488$, $-111988$)\\ & & $2$ & ($-22420300$, $5286400$, $17270150$, $716060$, $-4329890$, $-1068700$, $93305$, $33930$)\\ \addlinespace[2pt] $17$ & $57400$ & $0$ & ($2158520$, $-821100$, $-2342480$, $81088$, $547344$, $34370$, $-18144$, $-364$)\\ & & $1$ & ($-2326980$, $-1932100$, $1023820$, $1185368$, $194834$, $-35510$, $-7154$, $176$)\\ & & $2$ & ($7525300$, $1056000$, $-5388950$, $-1112980$, $774510$, $104100$, $-24185$, $-1110$)\\ \addlinespace[2pt] $18$ & $57400$ & $0$ & ($-160876800$, $-30380000$, $153956180$, $44774156$, $-39381076$, $-15244124$, $648886$, $474194$)\\ & & $1$ & ($-234186200$, $-20546800$, $221268680$, $45660216$, $-56727736$, $-17659084$, $1154116$, $535054$)\\ & & $2$ & ($-57100500$, $15280500$, $51725200$, $-5732510$, $-13395290$, $-371510$, $466740$, $-4565$)\\ \addlinespace[2pt] $19$ & $28700$ & $0$ & ($238840$, $22330$, $-84490$, $28042$, $-6594$, $-8911$, $217$, $329$)\\ & & $1$ & ($365940$, $141230$, $-338690$, $-139238$, $84016$, $37829$, $-1013$, $-1106$)\\ & & $2$ & ($524100$, $113450$, $-172850$, $18680$, $-31760$, $-26065$, $55$, $910$)\\ \addlinespace[2pt] $20$ & $28700$ & $0$ & ($-106159200$, $3958500$, $92800120$, $12297096$, $-22584198$, $-6573112$, $448252$, $205632$)\\ & & $1$ & ($-245610250$, $16403850$, $210156070$, $24861656$, $-50992253$, $-14425687$, $1027127$, $451782$)\\ & & $2$ & ($-142733750$, $13286500$, $119686050$, $12641590$, $-28964045$, $-7988430$, $590655$, $250480$)\\ \addlinespace[2pt] $21$ & $57400$ & $0$ & ($-2887080$, $2290120$, $2927120$, $-544936$, $-979944$, $-232792$, $19628$, $8428$)\\ & & $1$ & ($3742120$, $-579380$, $-3344880$, $-142796$, $857716$, $187378$, $-20132$, $-5682$)\\ & & $2$ & ($-12868200$, $2909300$, $12643050$, $580060$, $-3631260$, $-931330$, $78645$, $29770$)\\ \addlinespace[2pt] $22$ & $57400$ & $0$ & ($-429240$, $-500640$, $726460$, $577276$, $-227864$, $-188300$, $-1862$, $6398$)\\ & & $1$ & ($3351660$, $1741360$, $-3100240$, $-1612764$, $728446$, $393520$, $-7452$, $-12142$)\\ & & $2$ & ($3307400$, $-1224600$, $-2024850$, $411540$, $348440$, $-21200$, $-11905$, $870$)\\ \addlinespace[2pt] $23$ & $28700$ & $0$ & ($1772260$, $2311750$, $25760$, $-1158528$, $-569296$, $-61929$, $15526$, $2968$)\\ & & $1$ & ($8954310$, $10412450$, $-320440$, $-4957708$, $-2260331$, $-221849$, $62166$, $11228$)\\ & & $2$ & ($7593400$, $8823000$, $-182850$, $-4090870$, $-1866090$, $-180860$, $51615$, $9170$)\\ \addlinespace[2pt] $24$ & $57400$ & $0$ & ($-14283360$, $-13039040$, $1359120$, $5240536$, $1860628$, $79772$, $-56896$, $-6272$)\\ & & $1$ & ($-5585460$, $22055160$, $15348820$, $-10889104$, $-9750142$, $-1555348$, $255734$, $57398$)\\ & & $2$ & ($11948100$, $41679900$, $15658550$, $-19039810$, $-13428130$, $-1865470$, $362385$, $73095$)\\ \end{longtable}\endgroup