{
 "source": "KnotInfo 2026.10.5 diagrams; Jabuka-Kelly Theorems 2.10-2.12",
 "lower_bounds": [
  {
   "knot": "11a_173",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 5,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "11a_188",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "11a_203",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "11a_206",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 3,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "11a_259",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "11a_264",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 5,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "11a_277",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 5,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "11a_280",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 5,
   "rank_minus": 6,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "11a_297",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 6,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "11a_305",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "11a_308",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "11a_314",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "11a_318",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "11a_352",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 4,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "11a_59",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "11a_6",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 5,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_1012",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_1015",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_1123",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": 0,
   "class": 4,
   "rank_plus": 6,
   "rank_minus": 6,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "12a_1142",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_1171",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_1179",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_1242",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 2,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_1256",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_1260",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 6,
   "rank_minus": 6,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "12a_1276",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_1279",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_156",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -4,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 4,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "12a_176",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_195",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 4,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 4,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "12a_332",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 5,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_36",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_38",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_389",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_426",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 6,
   "rank_minus": 6,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "12a_493",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_503",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_551",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_561",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": -4,
   "class": 4,
   "rank_plus": 5,
   "rank_minus": 7,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "12a_569",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": 4,
   "class": 4,
   "rank_plus": 7,
   "rank_minus": 5,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "12a_587",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_590",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_595",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_647",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -8,
   "class": 0,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "12a_664",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": -4,
   "class": 4,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "12a_669",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 3,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_693",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 4,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 4,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "12a_694",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_712",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_714",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_726",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_742",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 8,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_780",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": -4,
   "class": 4,
   "rank_plus": 6,
   "rank_minus": 6,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "12a_801",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_802",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_820",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_827",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_829",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_832",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_840",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_853",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 4,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "12a_855",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_859",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 3,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_906",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": 0,
   "class": 4,
   "rank_plus": 6,
   "rank_minus": 6,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "12a_907",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": -4,
   "class": 4,
   "rank_plus": 5,
   "rank_minus": 7,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "12a_923",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_937",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_946",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_969",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_981",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "12a_984",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 3,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1022",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_1043",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -4,
   "class": 0,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_1089",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1100",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1133",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_1157",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1196",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1221",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_1226",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1243",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_125",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1266",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_132",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_133",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_1335",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1353",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1395",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1398",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": -4,
   "class": 4,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_140",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1429",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1462",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 4,
   "class": 0,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_1467",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1468",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1474",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_1482",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1488",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1492",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1520",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1557",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": 4,
   "class": 4,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_1573",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1601",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1617",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 4,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_1640",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1645",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 4,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_1662",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": 0,
   "class": 4,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_1682",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1720",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1725",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_173",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1740",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1751",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -4,
   "class": 0,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_1786",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_1791",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1826",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": -4,
   "class": 4,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_1829",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1855",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1879",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 4,
   "class": 0,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_189",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1897",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1899",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_191",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1912",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1929",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_193",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_195",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_1969",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 4,
   "class": 0,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_1971",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1974",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": 4,
   "class": 4,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_1976",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1986",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1990",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_1992",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": 0,
   "class": 4,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_2008",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2020",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2038",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2079",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2097",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2109",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2114",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2124",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2129",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -4,
   "class": 0,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_2154",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2157",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2173",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -4,
   "class": 0,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_2175",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2181",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2202",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2207",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_223",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2232",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2233",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2271",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2307",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2315",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -4,
   "class": 0,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_2319",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2362",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2367",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2381",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2432",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2445",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -4,
   "class": 0,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_2461",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2484",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2497",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2501",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2507",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_254",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2544",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2548",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2564",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_26",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_2620",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2642",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2647",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2667",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2672",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_2690",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2717",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2719",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2721",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2722",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2736",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2742",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_279",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2810",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2824",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2830",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2833",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2835",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2844",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_286",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2879",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -4,
   "class": 0,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_2884",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2890",
   "knotinfo_range": [
    2,
    4
   ],
   "sigma": -4,
   "class": 4,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_2933",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2944",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2945",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_2947",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3016",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3018",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3022",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3034",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": 0,
   "class": 4,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_3036",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_3110",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -10,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3118",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3121",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": -4,
   "class": 4,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_3122",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3128",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3131",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3139",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3143",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 11,
   "rank_minus": 2,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3158",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 4,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_316",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3164",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_319",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_32",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -4,
   "class": 0,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_3206",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3234",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3250",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3262",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3282",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_33",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_3309",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3315",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3329",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3337",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3340",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3358",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3377",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -10,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3380",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -10,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3387",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3459",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3461",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3474",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_349",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3524",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3530",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 2,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3543",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3554",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3558",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3585",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": 0,
   "class": 4,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_3589",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_361",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3641",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3642",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3660",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_3670",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3687",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3693",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -4,
   "class": 0,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_3706",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3718",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3720",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3747",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": 0,
   "class": 4,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_3749",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3794",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3796",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3800",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_382",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3841",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3852",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3858",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3865",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3880",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_3892",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3901",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3913",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3917",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3931",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3936",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": 0,
   "class": 4,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_395",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3950",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3956",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3961",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3978",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_3990",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4017",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4030",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4034",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4039",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4041",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4047",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4053",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4055",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4102",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4112",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4116",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4127",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4129",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_416",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4163",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4176",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4182",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4190",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4201",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 10,
   "rank_minus": 3,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4210",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4214",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -4,
   "class": 0,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_4240",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4250",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4258",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_428",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4306",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4307",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4309",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4313",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4329",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 6,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_435",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4359",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4401",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4427",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_445",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_448",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 4,
   "class": 0,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_4488",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 10,
   "rank_minus": 3,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4504",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4509",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4532",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4538",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4545",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4553",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4558",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -10,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4566",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": -8,
   "class": 4,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_4576",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4578",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4595",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4607",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4616",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4631",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4637",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": 0,
   "class": 4,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_4643",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4658",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4674",
   "knotinfo_range": [
    2,
    3
   ],
   "sigma": 0,
   "class": 4,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.11",
   "bound": 3
  },
  {
   "knot": "13a_4678",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_469",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4695",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_4698",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4706",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4739",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -10,
   "class": 6,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4745",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4764",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4768",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 4,
   "class": 0,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_4800",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4828",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -10,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4844",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4856",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 11,
   "rank_minus": 2,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4857",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4862",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -10,
   "class": 2,
   "rank_plus": 3,
   "rank_minus": 10,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_4876",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_501",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -6,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_553",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_561",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_58",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_616",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_627",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_635",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_648",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_652",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 9,
   "rank_minus": 4,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_654",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_662",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_663",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_665",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 6,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_667",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_675",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_676",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_681",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_702",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_705",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_720",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_738",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_740",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_762",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_765",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_813",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_831",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_832",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 5,
   "rank_minus": 8,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_855",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": 0,
   "class": 0,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_892",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 4,
   "rank_minus": 9,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_896",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -4,
   "class": 0,
   "rank_plus": 7,
   "rank_minus": 6,
   "theorem": "2.12",
   "bound": 2,
   "complement_norms": [
    [],
    []
   ]
  },
  {
   "knot": "13a_905",
   "knotinfo_range": [
    1,
    3
   ],
   "sigma": -2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_938",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_945",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_968",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_971",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": 2,
   "class": 6,
   "rank_plus": 8,
   "rank_minus": 5,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  },
  {
   "knot": "13a_993",
   "knotinfo_range": [
    1,
    2
   ],
   "sigma": -2,
   "class": 2,
   "rank_plus": 6,
   "rank_minus": 7,
   "theorem": "2.10",
   "bound": 2,
   "complement_norms": []
  }
 ]
}