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Label Polynomial Discriminant Galois group Class group Regulator
12.0.699484667904.1 $x^{12} - 6 x^{11} + 11 x^{10} - 18 x^{8} + 6 x^{7} + 13 x^{6} + 6 x^{5} - 18 x^{4} + 11 x^{2} - 6 x + 1$ $2^{16}\cdot 3^{6}\cdot 11^{4}$ $S_3^2$ (as 12T16) trivial $47.8583604356$
12.0.937024000000.1 $x^{12} - 4 x^{11} + 8 x^{10} - 12 x^{9} + 15 x^{8} - 18 x^{7} + 24 x^{6} - 26 x^{5} + 21 x^{4} - 18 x^{3} + 18 x^{2} - 12 x + 4$ $2^{12}\cdot 5^{6}\cdot 11^{4}$ $S_3^2$ (as 12T16) trivial $23.3043713908$
12.0.1911029760000.1 $x^{12} - 6 x^{11} + 17 x^{10} - 30 x^{9} + 42 x^{8} - 54 x^{7} + 69 x^{6} - 78 x^{5} + 68 x^{4} - 42 x^{3} + 19 x^{2} - 6 x + 1$ $2^{22}\cdot 3^{6}\cdot 5^{4}$ $S_3^2$ (as 12T16) trivial $39.8431596208$
12.0.4694952902656.12 $x^{12} - 4 x^{11} + 6 x^{10} - 14 x^{8} + 16 x^{7} + 10 x^{6} - 32 x^{5} + 9 x^{4} + 20 x^{3} - 12 x^{2} + 8$ $2^{24}\cdot 23^{4}$ $S_3^2$ (as 12T16) trivial $348.460837974$
12.0.6718464000000.1 $x^{12} - 4 x^{9} - 8 x^{8} + 4 x^{7} + 8 x^{6} + 16 x^{5} + 28 x^{4} + 16 x^{3} + 8 x^{2} + 8 x + 4$ $2^{16}\cdot 3^{8}\cdot 5^{6}$ $S_3^2$ (as 12T16) trivial $60.7440631476$
12.0.9003384318096.1 $x^{12} - 3 x^{11} + 12 x^{10} - 31 x^{9} + 69 x^{8} - 108 x^{7} + 143 x^{6} - 129 x^{5} + 78 x^{4} - 11 x^{3} - 3 x^{2} - 6 x + 4$ $2^{4}\cdot 3^{14}\cdot 7^{6}$ $S_3^2$ (as 12T16) trivial $158.849471083$
12.0.11866206109696.7 $x^{12} - 4 x^{11} + 8 x^{10} - 8 x^{9} + 11 x^{8} - 16 x^{7} + 34 x^{6} - 60 x^{5} + 78 x^{4} - 72 x^{3} + 56 x^{2} - 32 x + 8$ $2^{24}\cdot 29^{4}$ $S_3^2$ (as 12T16) trivial $607.66563083$
12.0.13722579360000.2 $x^{12} - 3 x^{11} + 3 x^{10} - x^{8} + 3 x^{7} - 6 x^{6} + 3 x^{5} + x^{4} + 6 x^{3} - 3 x^{2} - 9 x + 9$ $2^{8}\cdot 3^{6}\cdot 5^{4}\cdot 7^{6}$ $S_3^2$ (as 12T16) trivial $156.064739933$
12.0.19131876000000.2 $x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 189 x^{8} - 342 x^{7} + 507 x^{6} - 594 x^{5} + 540 x^{4} - 362 x^{3} + 156 x^{2} - 36 x + 4$ $2^{8}\cdot 3^{14}\cdot 5^{6}$ $S_3^2$ (as 12T16) trivial $179.083690258$
12.0.19275612160000.1 $x^{12} - 6 x^{11} + 15 x^{10} - 20 x^{9} + 7 x^{8} + 26 x^{7} - 45 x^{6} + 26 x^{5} + 7 x^{4} - 20 x^{3} + 15 x^{2} - 6 x + 1$ $2^{18}\cdot 5^{4}\cdot 7^{6}$ $S_3^2$ (as 12T16) trivial $51.797080045$
12.0.20061226008576.1 $x^{12} - 6 x^{11} + 21 x^{10} - 50 x^{9} + 72 x^{8} - 54 x^{7} + 33 x^{6} - 54 x^{5} + 72 x^{4} - 50 x^{3} + 21 x^{2} - 6 x + 1$ $2^{22}\cdot 3^{14}$ $S_3^2$ (as 12T16) trivial $223.286274451$
12.0.20061226008576.3 $x^{12} - 6 x^{11} + 13 x^{10} - 10 x^{9} - 8 x^{8} + 26 x^{7} - 35 x^{6} + 38 x^{5} - 2 x^{4} - 42 x^{3} + 43 x^{2} - 18 x + 3$ $2^{22}\cdot 3^{14}$ $S_3^2$ (as 12T16) trivial $426.206248058$
12.0.25389989167104.6 $x^{12} + 8 x^{6} + 4$ $2^{16}\cdot 3^{18}$ $S_3^2$ (as 12T16) trivial $373.878236453$
12.0.46708681640625.2 $x^{12} - 3 x^{11} + 3 x^{10} - 18 x^{7} + 99 x^{6} - 234 x^{5} + 315 x^{4} - 270 x^{3} + 153 x^{2} - 54 x + 9$ $3^{14}\cdot 5^{10}$ $S_3^2$ (as 12T16) trivial $189.972610234$
12.0.72964670628096.1 $x^{12} - x^{11} - x^{10} + 12 x^{9} - 5 x^{8} - 5 x^{7} + 52 x^{6} - 35 x^{5} + 37 x^{4} + 24 x^{3} + 23 x^{2} + 5 x + 1$ $2^{8}\cdot 3^{10}\cdot 13^{6}$ $S_3^2$ (as 12T16) $[2]$ $530.218430458$
12.0.101559956668416.8 $x^{12} - 4 x^{9} + 52 x^{6} + 24 x^{3} + 3$ $2^{18}\cdot 3^{18}$ $S_3^2$ (as 12T16) trivial $924.074917892$
12.0.128536820158464.5 $x^{12} - 6 x^{9} + 18 x^{6} - 18 x^{3} + 9$ $2^{12}\cdot 3^{22}$ $S_3^2$ (as 12T16) trivial $1358.21387368$
12.0.135573141513744.1 $x^{12} + 19 x^{6} + 16$ $2^{4}\cdot 3^{14}\cdot 11^{6}$ $S_3^2$ (as 12T16) trivial $1235.34036808$
12.0.197324726861824.3 $x^{12} - 4 x^{10} - 4 x^{9} + 30 x^{8} + 12 x^{7} + 24 x^{6} + 16 x^{5} + 36 x^{4} - 16 x^{3} + 28 x^{2} - 8 x + 4$ $2^{22}\cdot 19^{6}$ $S_3^2$ (as 12T16) $[3]$ $92.5601767558$
12.0.294122500000000.1 $x^{12} - 3 x^{11} + 9 x^{10} - 20 x^{9} + 45 x^{8} - 63 x^{7} + 84 x^{6} - 87 x^{5} + 95 x^{4} - 40 x^{3} + 29 x^{2} - 7 x + 1$ $2^{8}\cdot 5^{10}\cdot 7^{6}$ $S_3^2$ (as 12T16) $[3]$ $99.6230030256$
12.0.302534120546064.1 $x^{12} - 6 x^{11} + 17 x^{10} - 30 x^{9} + 33 x^{8} - 18 x^{7} + 3 x^{6} - 6 x^{5} + 11 x^{4} - 6 x^{3} + 7 x^{2} - 6 x + 4$ $2^{4}\cdot 3^{6}\cdot 11^{10}$ $S_3^2$ (as 12T16) trivial $1066.26888133$
12.0.490329056390625.1 $x^{12} + 9 x^{6} + 9$ $3^{22}\cdot 5^{6}$ $S_3^2$ (as 12T16) trivial $653.087989569$
12.0.592143556000000.1 $x^{12} - 5 x^{11} + 13 x^{10} - 28 x^{9} + 63 x^{8} - 73 x^{7} - 18 x^{6} + 133 x^{5} - 33 x^{4} - 38 x^{3} + 37 x^{2} + 11 x + 1$ $2^{8}\cdot 5^{6}\cdot 23^{6}$ $S_3^2$ (as 12T16) $[3]$ $113.600697009$
12.0.684178814003344.1 $x^{12} - 2 x^{11} + 9 x^{10} - 4 x^{9} + 21 x^{8} + 4 x^{7} + 39 x^{6} + 10 x^{5} + 45 x^{4} + 72 x^{3} + 31 x^{2} + 6 x + 4$ $2^{4}\cdot 11^{6}\cdot 17^{6}$ $S_3^2$ (as 12T16) trivial $434.489416235$
12.0.708051067974441.1 $x^{12} - 4 x^{9} + 31 x^{6} - 54 x^{3} + 27$ $3^{14}\cdot 23^{6}$ $S_3^2$ (as 12T16) $[3]$ $548.375167004$
12.0.722204136308736.19 $x^{12} - 12 x^{9} + 18 x^{8} - 36 x^{7} + 72 x^{6} - 108 x^{5} + 249 x^{4} - 492 x^{3} + 648 x^{2} - 504 x + 196$ $2^{24}\cdot 3^{16}$ $S_3^2$ (as 12T16) trivial $7056.90615221$
12.0.1094032426497921.1 $x^{12} - 2 x^{9} + 109 x^{6} - 108 x^{3} + 27$ $3^{6}\cdot 107^{6}$ $S_3^2$ (as 12T16) $[3]$ $416.079689155$
12.0.1624959306694656.21 $x^{12} + 40 x^{6} + 16$ $2^{22}\cdot 3^{18}$ $S_3^2$ (as 12T16) trivial $2884.21108845$
12.0.1624959306694656.35 $x^{12} - 6 x^{11} + 21 x^{10} - 42 x^{9} + 54 x^{8} - 54 x^{7} + 85 x^{6} - 174 x^{5} + 132 x^{4} + 42 x^{3} + 27 x^{2} - 198 x + 121$ $2^{22}\cdot 3^{18}$ $S_3^2$ (as 12T16) trivial $2679.51926649$
12.0.1699835058651136.5 $x^{12} - 4 x^{11} + 7 x^{10} + 6 x^{9} - 50 x^{8} + 88 x^{7} - 9 x^{6} - 242 x^{5} + 518 x^{4} - 580 x^{3} + 391 x^{2} - 150 x + 25$ $2^{16}\cdot 11^{10}$ $S_3^2$ (as 12T16) $[3]$ $764.959773081$
12.0.1776132919332864.1 $x^{12} - 4 x^{11} + 2 x^{10} + 12 x^{9} - 4 x^{8} - 34 x^{7} + 15 x^{6} + 44 x^{5} + 34 x^{4} - 14 x^{3} + 15 x^{2} - 4 x + 1$ $2^{12}\cdot 3^{6}\cdot 29^{6}$ $S_3^2$ (as 12T16) $[6]$ $121.324729719$
12.0.2056589122535424.16 $x^{12} + 24 x^{6} + 36$ $2^{16}\cdot 3^{22}$ $S_3^2$ (as 12T16) trivial $3653.20202443$
12.0.2056589122535424.22 $x^{12} - 12 x^{9} + 72 x^{6} - 144 x^{3} + 144$ $2^{16}\cdot 3^{22}$ $S_3^2$ (as 12T16) trivial $2661.22266551$
12.0.3550014724000000.1 $x^{12} - 4 x^{11} + 11 x^{10} - 28 x^{9} + 96 x^{8} - 246 x^{7} + 359 x^{6} - 306 x^{5} + 174 x^{4} - 82 x^{3} + 33 x^{2} - 8 x + 1$ $2^{8}\cdot 5^{6}\cdot 31^{6}$ $S_3^2$ (as 12T16) $[6]$ $158.484910375$
12.0.4244902593608889.2 $x^{12} - 12 x^{9} + 83 x^{6} - 282 x^{3} + 343$ $3^{14}\cdot 31^{6}$ $S_3^2$ (as 12T16) $[3]$ $1275.7519962$
12.0.6499837226778624.20 $x^{12} - 12 x^{10} + 54 x^{8} - 88 x^{6} - 39 x^{4} + 180 x^{2} + 4$ $2^{24}\cdot 3^{18}$ $S_3^2$ (as 12T16) $[2]$ $11677.3828162$
12.0.6499837226778624.35 $x^{12} - 8 x^{9} + 36 x^{8} - 36 x^{7} + 30 x^{6} - 36 x^{5} + 81 x^{4} - 20 x^{3} - 18 x^{2} + 36 x + 22$ $2^{24}\cdot 3^{18}$ $S_3^2$ (as 12T16) $[2]$ $5519.71246192$
12.0.8226356490141696.13 $x^{12} + 18 x^{6} + 9$ $2^{18}\cdot 3^{22}$ $S_3^2$ (as 12T16) trivial $9254.46013983$
12.0.8226356490141696.18 $x^{12} + 12 x^{6} - 36 x^{3} + 27$ $2^{18}\cdot 3^{22}$ $S_3^2$ (as 12T16) trivial $10033.1456564$
12.0.8226356490141696.37 $x^{12} - 12 x^{9} + 84 x^{6} - 216 x^{3} + 243$ $2^{18}\cdot 3^{22}$ $S_3^2$ (as 12T16) trivial $10963.7927108$
12.0.11057373810786304.1 $x^{12} - 10 x^{10} - 8 x^{9} + 63 x^{8} + 48 x^{7} - 60 x^{6} + 44 x^{5} + 231 x^{4} - 68 x^{3} + 58 x^{2} - 16 x + 4$ $2^{18}\cdot 59^{6}$ $S_3^2$ (as 12T16) $[3]$ $1026.50745875$
12.0.11957422500000000.1 $x^{12} + 3 x^{10} - 20 x^{9} + 60 x^{8} - 120 x^{7} + 275 x^{6} - 780 x^{5} + 1620 x^{4} - 2020 x^{3} + 1503 x^{2} - 660 x + 139$ $2^{8}\cdot 3^{14}\cdot 5^{10}$ $S_3^2$ (as 12T16) $[3]$ $1788.77885281$
12.12.49632710656000000.1 $x^{12} - 4 x^{11} - 16 x^{10} + 92 x^{9} - 15 x^{8} - 536 x^{7} + 878 x^{6} + 52 x^{5} - 1109 x^{4} + 720 x^{3} + 38 x^{2} - 104 x + 4$ $2^{18}\cdot 5^{6}\cdot 59^{4}$ $S_3^2$ (as 12T16) trivial $36826.9669087$
12.0.131...136.43 $x^{12} + 36 x^{6} + 36$ $2^{22}\cdot 3^{22}$ $S_3^2$ (as 12T16) trivial $9679.77226969$
12.0.131...136.44 $x^{12} + 60 x^{6} + 36$ $2^{22}\cdot 3^{22}$ $S_3^2$ (as 12T16) trivial $31629.4849309$
12.0.131...136.65 $x^{12} - 12 x^{9} + 336 x^{6} - 360 x^{3} + 108$ $2^{22}\cdot 3^{22}$ $S_3^2$ (as 12T16) trivial $27370.4191195$
12.0.131...136.76 $x^{12} - 6 x^{11} + 21 x^{10} - 26 x^{9} - 18 x^{8} + 90 x^{7} + 57 x^{6} - 522 x^{5} + 882 x^{4} - 542 x^{3} + 489 x^{2} - 1050 x + 625$ $2^{22}\cdot 3^{22}$ $S_3^2$ (as 12T16) $[3]$ $7696.04332288$
12.0.131...136.88 $x^{12} + 72 x^{6} + 144$ $2^{22}\cdot 3^{22}$ $S_3^2$ (as 12T16) trivial $24417.7400722$
12.0.169682989931106304.1 $x^{12} - 6 x^{11} + 21 x^{10} - 50 x^{9} + 67 x^{8} - 34 x^{7} + 3 x^{6} - 34 x^{5} + 67 x^{4} - 50 x^{3} + 21 x^{2} - 6 x + 1$ $2^{12}\cdot 23^{10}$ $S_3^2$ (as 12T16) $[3]$ $3871.54935614$
12.12.268...000.1 $x^{12} - 6 x^{11} + x^{10} + 50 x^{9} - 80 x^{8} - 46 x^{7} + 161 x^{6} - 46 x^{5} - 80 x^{4} + 50 x^{3} + x^{2} - 6 x + 1$ $2^{22}\cdot 3^{8}\cdot 5^{10}$ $S_3^2$ (as 12T16) trivial $78474.0059169$
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