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Label Polynomial Discriminant Galois group Class group Regulator
12.0.74733890625.1 $x^{12} - 6 x^{11} + 21 x^{10} - 50 x^{9} + 93 x^{8} - 138 x^{7} + 164 x^{6} - 153 x^{5} + 111 x^{4} - 61 x^{3} + 24 x^{2} - 6 x + 1$ $3^{14}\cdot 5^{6}$ $D_6$ (as 12T3) trivial $5.15894342496$
12.0.107918163081.1 $x^{12} - 3 x^{11} + 4 x^{10} - 5 x^{9} + 5 x^{8} + 2 x^{7} - 7 x^{6} + 2 x^{5} + 5 x^{4} - 5 x^{3} + 4 x^{2} - 3 x + 1$ $3^{6}\cdot 23^{6}$ $D_6$ (as 12T3) trivial $6.2323227807$
12.0.116101021696.1 $x^{12} - 3 x^{10} + 2 x^{8} + x^{6} + 2 x^{4} - 3 x^{2} + 1$ $2^{16}\cdot 11^{6}$ $D_6$ (as 12T3) trivial $4.99174507769$
12.0.313456656384.1 $x^{12} - 3 x^{10} - 8 x^{9} - 6 x^{8} + 12 x^{7} + 47 x^{6} + 78 x^{5} + 78 x^{4} + 50 x^{3} + 21 x^{2} + 6 x + 1$ $2^{16}\cdot 3^{14}$ $D_6$ (as 12T3) trivial $28.2208007986$
12.0.330615800064.1 $x^{12} - x^{11} - x^{10} + 4 x^{9} - x^{8} - 3 x^{7} + 6 x^{6} - 3 x^{5} - x^{4} + 4 x^{3} - x^{2} - x + 1$ $2^{8}\cdot 3^{6}\cdot 11^{6}$ $D_6$ (as 12T3) trivial $16.2541788029$
12.0.433626201009.2 $x^{12} - x^{11} + 4 x^{10} + 3 x^{9} + 6 x^{8} + 10 x^{7} + 15 x^{6} + 23 x^{5} + 12 x^{4} + 12 x^{3} + 13 x^{2} + 4 x + 1$ $3^{6}\cdot 29^{6}$ $D_6$ (as 12T3) trivial $15.5922746816$
12.0.470596000000.1 $x^{12} - 3 x^{11} + 5 x^{10} - 8 x^{9} + 11 x^{8} - 13 x^{7} + 18 x^{6} - 13 x^{5} + 11 x^{4} - 8 x^{3} + 5 x^{2} - 3 x + 1$ $2^{8}\cdot 5^{6}\cdot 7^{6}$ $D_6$ (as 12T3) trivial $6.67082664998$
12.0.606355001344.3 $x^{12} - x^{10} + 5 x^{8} - 9 x^{6} + 5 x^{4} - x^{2} + 1$ $2^{12}\cdot 23^{6}$ $D_6$ (as 12T3) trivial $12.1830730488$
12.0.646990183449.1 $x^{12} - 3 x^{11} + 2 x^{10} - 3 x^{9} + 15 x^{8} - 24 x^{7} + 25 x^{6} - 24 x^{5} + 15 x^{4} - 3 x^{3} + 2 x^{2} - 3 x + 1$ $3^{6}\cdot 31^{6}$ $D_6$ (as 12T3) trivial $19.1654785683$
12.0.1148916015625.1 $x^{12} - 3 x^{11} + 4 x^{10} - 3 x^{7} - x^{6} + 3 x^{5} + 4 x^{2} + 3 x + 1$ $5^{10}\cdot 7^{6}$ $D_6$ (as 12T3) trivial $10.1473323044$
12.0.1253826625536.1 $x^{12} + 6 x^{10} + 3 x^{8} - 22 x^{6} + 21 x^{4} - 12 x^{2} + 4$ $2^{18}\cdot 3^{14}$ $D_6$ (as 12T3) trivial $42.889636204$
12.0.1265319018496.1 $x^{12} + 8 x^{10} + 23 x^{8} + 32 x^{6} + 25 x^{4} + 14 x^{2} + 4$ $2^{18}\cdot 13^{6}$ $D_6$ (as 12T3) trivial $13.9512514257$
12.0.1586874322944.4 $x^{12} - 2 x^{9} + 2 x^{6} + 2 x^{3} + 1$ $2^{12}\cdot 3^{18}$ $D_6$ (as 12T3) trivial $98.4839174271$
12.0.1822500000000.1 $x^{12} - x^{11} + x^{10} + 10 x^{9} - 5 x^{8} - x^{7} + 26 x^{6} - x^{5} - 5 x^{4} + 10 x^{3} + x^{2} - x + 1$ $2^{8}\cdot 3^{6}\cdot 5^{10}$ $D_6$ (as 12T3) trivial $49.0290516605$
12.0.2313060765625.2 $x^{12} - 3 x^{11} + 6 x^{10} - 5 x^{9} + 15 x^{8} + 2 x^{7} + 5 x^{6} - 2 x^{5} + 15 x^{4} + 5 x^{3} + 6 x^{2} + 3 x + 1$ $5^{6}\cdot 23^{6}$ $D_6$ (as 12T3) trivial $10.0484958879$
12.0.2436396322816.1 $x^{12} + 9 x^{10} + 34 x^{8} + 53 x^{6} + 54 x^{4} + 21 x^{2} + 1$ $2^{12}\cdot 29^{6}$ $D_6$ (as 12T3) trivial $40.8078289015$
12.0.2560000000000.1 $x^{12} - 4 x^{11} + 12 x^{10} - 20 x^{9} + 25 x^{8} - 24 x^{7} + 26 x^{6} - 28 x^{5} + 15 x^{4} + 2 x^{2} - 8 x + 4$ $2^{18}\cdot 5^{10}$ $D_6$ (as 12T3) trivial $20.5842545055$
12.0.3083198857216.1 $x^{12} + x^{10} + 6 x^{8} - 7 x^{6} + 6 x^{4} + x^{2} + 1$ $2^{16}\cdot 19^{6}$ $D_6$ (as 12T3) trivial $42.0940881288$
12.0.3635215077376.1 $x^{12} - 5 x^{10} + 9 x^{8} - x^{6} + 9 x^{4} - 5 x^{2} + 1$ $2^{12}\cdot 31^{6}$ $D_6$ (as 12T3) trivial $43.4255999448$
12.0.4504649677056.1 $x^{12} - 3 x^{11} + 4 x^{10} - 5 x^{9} + 6 x^{8} - 3 x^{7} - 5 x^{6} + 6 x^{5} + 16 x^{4} - 28 x^{3} + 12 x^{2} + 4 x + 4$ $2^{8}\cdot 3^{6}\cdot 17^{6}$ $D_6$ (as 12T3) trivial $81.0446772104$
12.0.6553600000000.1 $x^{12} - 7 x^{8} + 88 x^{4} + 16$ $2^{24}\cdot 5^{8}$ $D_6$ (as 12T3) trivial $425.958017792$
12.0.7086244000000.1 $x^{12} - x^{11} + 5 x^{10} - 10 x^{9} + 9 x^{8} - 9 x^{7} + 14 x^{6} + 9 x^{5} + 9 x^{4} + 10 x^{3} + 5 x^{2} + x + 1$ $2^{8}\cdot 5^{6}\cdot 11^{6}$ $D_6$ (as 12T3) $[2]$ $18.6432813936$
12.0.7430465388544.3 $x^{12} + 2 x^{10} + 4 x^{8} - 4 x^{6} + 20 x^{4} - 16 x^{2} + 4$ $2^{22}\cdot 11^{6}$ $D_6$ (as 12T3) trivial $32.3759085892$
12.0.7430465388544.6 $x^{12} - 2 x^{10} + 4 x^{8} + 4 x^{6} + 20 x^{4} + 16 x^{2} + 4$ $2^{22}\cdot 11^{6}$ $D_6$ (as 12T3) trivial $22.4837176173$
12.0.8779890495744.1 $x^{12} - 3 x^{11} + 5 x^{10} - 6 x^{9} + 3 x^{8} + 9 x^{7} - 14 x^{6} + 9 x^{5} + 3 x^{4} - 6 x^{3} + 5 x^{2} - 3 x + 1$ $2^{8}\cdot 3^{6}\cdot 19^{6}$ $D_6$ (as 12T3) trivial $126.831168035$
12.0.12332795428864.1 $x^{12} + 8 x^{10} + 23 x^{8} + 24 x^{6} + x^{4} - 14 x^{2} + 4$ $2^{18}\cdot 19^{6}$ $D_6$ (as 12T3) trivial $51.1877277362$
12.0.13867245015625.1 $x^{12} - 3 x^{11} + 12 x^{10} - 15 x^{9} + 17 x^{8} - 12 x^{7} + 21 x^{6} + 12 x^{5} + 17 x^{4} + 15 x^{3} + 12 x^{2} + 3 x + 1$ $5^{6}\cdot 31^{6}$ $D_6$ (as 12T3) $[2]$ $19.9824474015$
12.0.17416274304961.1 $x^{12} - 3 x^{11} + 3 x^{10} - 5 x^{9} + 15 x^{8} + 17 x^{7} - 73 x^{6} + 34 x^{5} + 60 x^{4} - 40 x^{3} + 48 x^{2} - 96 x + 64$ $7^{6}\cdot 23^{6}$ $D_6$ (as 12T3) trivial $47.3681771839$
12.0.18662400000000.1 $x^{12} + x^{10} - 6 x^{8} + x^{6} + 46 x^{4} + 21 x^{2} + 9$ $2^{16}\cdot 3^{6}\cdot 5^{8}$ $D_6$ (as 12T3) trivial $304.148532301$
12.0.19131876000000.1 $x^{12} - 3 x^{11} - 9 x^{10} + 20 x^{9} + 45 x^{8} - 33 x^{7} - 70 x^{6} + 33 x^{5} + 45 x^{4} - 20 x^{3} - 9 x^{2} + 3 x + 1$ $2^{8}\cdot 3^{14}\cdot 5^{6}$ $D_6$ (as 12T3) trivial $172.718805818$
12.0.20061226008576.4 $x^{12} + 6 x^{10} - 44 x^{6} + 60 x^{4} - 24 x^{2} + 4$ $2^{22}\cdot 3^{14}$ $D_6$ (as 12T3) trivial $251.029261158$
12.0.20061226008576.9 $x^{12} - 6 x^{10} + 44 x^{6} + 60 x^{4} + 24 x^{2} + 4$ $2^{22}\cdot 3^{14}$ $D_6$ (as 12T3) trivial $147.750062513$
12.0.23086477815921.1 $x^{12} - 3 x^{11} - x^{9} + 33 x^{8} - 66 x^{7} + 81 x^{6} - 66 x^{5} + 33 x^{4} - x^{3} - 3 x + 1$ $3^{14}\cdot 13^{6}$ $D_6$ (as 12T3) $[2]$ $125.397415321$
12.0.30749609024289.1 $x^{12} + 43 x^{6} + 64$ $3^{6}\cdot 59^{6}$ $D_6$ (as 12T3) trivial $434.390767524$
12.0.33502391015625.1 $x^{12} - 3 x^{11} + 8 x^{10} - 9 x^{9} + 9 x^{8} + 6 x^{7} + x^{6} + 6 x^{5} + 9 x^{4} - 9 x^{3} + 8 x^{2} - 3 x + 1$ $3^{6}\cdot 5^{8}\cdot 7^{6}$ $D_6$ (as 12T3) trivial $277.372672215$
12.0.38806720086016.9 $x^{12} - 2 x^{10} + 20 x^{8} - 72 x^{6} + 80 x^{4} - 32 x^{2} + 64$ $2^{18}\cdot 23^{6}$ $D_6$ (as 12T3) trivial $60.4867440197$
12.0.38806720086016.10 $x^{12} + 2 x^{10} + 20 x^{8} + 72 x^{6} + 80 x^{4} + 32 x^{2} + 64$ $2^{18}\cdot 23^{6}$ $D_6$ (as 12T3) $[2]$ $30.2165763179$
12.0.45579633110361.2 $x^{12} + 5 x^{6} + 1$ $3^{18}\cdot 7^{6}$ $D_6$ (as 12T3) trivial $303.071461384$
12.0.46708681640625.1 $x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 195 x^{8} - 366 x^{7} + 551 x^{6} - 642 x^{5} + 585 x^{4} - 400 x^{3} + 177 x^{2} - 42 x + 4$ $3^{14}\cdot 5^{10}$ $D_6$ (as 12T3) trivial $575.677362703$
12.0.52716660869376.1 $x^{12} - 3 x^{11} + 7 x^{10} - 8 x^{9} + 3 x^{8} + 21 x^{7} - 20 x^{6} + 21 x^{5} + 19 x^{4} - 22 x^{3} + 21 x^{2} - 5 x + 1$ $2^{8}\cdot 3^{6}\cdot 7^{10}$ $D_6$ (as 12T3) $[3]$ $129.556705727$
12.0.53356129302784.1 $x^{12} - x^{11} - 4 x^{10} + 11 x^{9} - 15 x^{7} + 35 x^{6} - 30 x^{5} + 88 x^{3} - 64 x^{2} - 32 x + 64$ $2^{8}\cdot 7^{6}\cdot 11^{6}$ $D_6$ (as 12T3) trivial $113.333429811$
12.0.74649600000000.2 $x^{12} - 4 x^{10} + 19 x^{8} + 16 x^{6} + x^{4} + 6 x^{2} + 4$ $2^{18}\cdot 3^{6}\cdot 5^{8}$ $D_6$ (as 12T3) trivial $406.693076504$
12.0.80244904034304.3 $x^{12} - 8 x^{9} + 15 x^{8} + 24 x^{7} + 32 x^{6} - 24 x^{5} + 15 x^{4} + 8 x^{3} + 1$ $2^{24}\cdot 3^{14}$ $D_6$ (as 12T3) $[2]$ $473.229437352$
12.0.80244904034304.5 $x^{12} + 9 x^{8} - 20 x^{6} - 12 x^{4} + 24 x^{2} + 4$ $2^{24}\cdot 3^{14}$ $D_6$ (as 12T3) $[2]$ $383.263428049$
12.0.80980417183744.7 $x^{12} + x^{8} - 4 x^{6} + 36 x^{4} + 24 x^{2} + 4$ $2^{24}\cdot 13^{6}$ $D_6$ (as 12T3) $[2]$ $219.104949396$
12.0.80980417183744.8 $x^{12} - 4 x^{9} - 7 x^{8} - 36 x^{7} + 8 x^{6} + 144 x^{5} + 276 x^{4} + 248 x^{3} + 128 x^{2} + 32 x + 4$ $2^{24}\cdot 13^{6}$ $D_6$ (as 12T3) $[2]$ $501.13827109$
12.0.84637644816384.4 $x^{12} - 6 x^{11} + 23 x^{10} - 60 x^{9} + 130 x^{8} - 226 x^{7} + 305 x^{6} - 310 x^{5} + 290 x^{4} - 240 x^{3} + 247 x^{2} - 154 x + 121$ $2^{16}\cdot 3^{6}\cdot 11^{6}$ $D_6$ (as 12T3) $[2]$ $60.7808356072$
12.0.90785223184384.1 $x^{12} - 4 x^{9} + 31 x^{8} + 6 x^{7} + 8 x^{6} - 62 x^{5} + 109 x^{4} - 74 x^{3} + 18 x^{2} + 12 x + 4$ $2^{12}\cdot 53^{6}$ $D_6$ (as 12T3) trivial $296.286166133$
12.0.101559956668416.6 $x^{12} + 10 x^{6} + 1$ $2^{18}\cdot 3^{18}$ $D_6$ (as 12T3) $[3]$ $298.593528342$
12.0.104413920565969.1 $x^{12} - 4 x^{10} + 6 x^{8} + 114 x^{6} - 235 x^{4} + 118 x^{2} + 9$ $7^{6}\cdot 31^{6}$ $D_6$ (as 12T3) trivial $159.794545077$
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