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Label Polynomial Discriminant Galois group Class group Regulator
12.0.15203947802176.1 $x^{12} - 4 x^{11} + 9 x^{10} - 22 x^{9} + 32 x^{8} - 30 x^{7} + 57 x^{6} - 56 x^{5} - 14 x^{3} + 14 x^{2} + 14 x + 7$ $2^{6}\cdot 7^{10}\cdot 29^{2}$ $C_2^3:A_4$ (as 12T58) trivial $320.143524163$
12.0.15203947802176.3 $x^{12} - 4 x^{11} + 6 x^{10} - 12 x^{9} + 44 x^{8} - 98 x^{7} + 134 x^{6} - 168 x^{5} + 249 x^{4} - 310 x^{3} + 262 x^{2} - 146 x + 43$ $2^{6}\cdot 7^{10}\cdot 29^{2}$ $C_2^3:A_4$ (as 12T58) trivial $306.194604814$
12.4.75753088140625.1 $x^{12} - x^{11} - 2 x^{10} - 8 x^{8} + x^{7} - 11 x^{6} + x^{5} - 8 x^{4} - 2 x^{2} - x + 1$ $5^{6}\cdot 7^{8}\cdot 29^{2}$ $C_2^3:A_4$ (as 12T58) trivial $137.573943409$
12.8.151416101265625.1 $x^{12} - 2 x^{11} - 4 x^{10} + 3 x^{9} + 10 x^{8} + 13 x^{7} - 21 x^{6} - 27 x^{5} + 25 x^{4} + 20 x^{3} - 10 x^{2} - 8 x - 1$ $5^{6}\cdot 7^{8}\cdot 41^{2}$ $C_2^3:A_4$ (as 12T58) trivial $423.834397821$
12.4.242810410640625.2 $x^{12} - 3 x^{11} - 6 x^{8} + 3 x^{7} - 9 x^{6} + 3 x^{5} - 6 x^{4} - 3 x + 1$ $3^{16}\cdot 5^{6}\cdot 19^{2}$ $C_2^3:A_4$ (as 12T58) trivial $297.144632588$
12.8.368947264000000.2 $x^{12} - 5 x^{10} + 2 x^{8} + 17 x^{6} - 19 x^{4} + 2 x^{2} + 1$ $2^{12}\cdot 5^{6}\cdot 7^{8}$ $C_2^3:A_4$ (as 12T58) trivial $690.069334247$
12.4.564668382613504.2 $x^{12} + 2 x^{10} - 7 x^{8} - 19 x^{6} - 8 x^{4} + 5 x^{2} + 1$ $2^{12}\cdot 13^{10}$ $C_2^3:A_4$ (as 12T58) trivial $436.632563589$
12.8.564668382613504.3 $x^{12} - 5 x^{10} + 5 x^{8} + 6 x^{6} - 7 x^{4} - 2 x^{2} + 1$ $2^{12}\cdot 13^{10}$ $C_2^3:A_4$ (as 12T58) trivial $942.874445517$
12.4.860374847629609.1 $x^{12} - 3 x^{11} + 2 x^{10} + 10 x^{9} - 48 x^{8} + 109 x^{7} - 193 x^{6} + 245 x^{5} - 250 x^{4} + 250 x^{3} - 202 x^{2} + 105 x - 25$ $13^{10}\cdot 79^{2}$ $C_2^3:A_4$ (as 12T58) trivial $524.301439397$
12.4.2950947586890625.1 $x^{12} - 3 x^{11} + x^{10} + 19 x^{9} - 36 x^{8} + 28 x^{7} + 3 x^{6} - 14 x^{5} + 96 x^{4} - 163 x^{3} + 81 x^{2} - 41 x + 29$ $5^{6}\cdot 7^{8}\cdot 181^{2}$ $C_2^3:A_4$ (as 12T58) trivial $775.245730506$
12.8.4739148267126784.5 $x^{12} - 6 x^{10} + 8 x^{8} + 8 x^{6} - 13 x^{4} - 6 x^{2} + 1$ $2^{24}\cdot 7^{10}$ $C_2^3:A_4$ (as 12T58) trivial $3598.32322043$
12.4.4739148267126784.13 $x^{12} + 2 x^{10} - 10 x^{8} - 20 x^{6} - 5 x^{4} + 4 x^{2} + 1$ $2^{24}\cdot 7^{10}$ $C_2^3:A_4$ (as 12T58) trivial $1749.48542816$
12.12.5674816059390625.1 $x^{12} - 3 x^{11} - 14 x^{10} + 34 x^{9} + 88 x^{8} - 114 x^{7} - 301 x^{6} + 26 x^{5} + 408 x^{4} + 340 x^{3} + 117 x^{2} + 18 x + 1$ $5^{6}\cdot 7^{8}\cdot 251^{2}$ $C_2^3:A_4$ (as 12T58) trivial $6151.25064962$
12.8.6189907940737024.2 $x^{12} - 2 x^{10} - 9 x^{8} + 14 x^{6} + 10 x^{4} - 8 x^{2} + 1$ $2^{30}\cdot 7^{8}$ $C_2^3:A_4$ (as 12T58) trivial $4788.14752655$
12.4.6189907940737024.6 $x^{12} - 4 x^{10} - 8 x^{8} + 14 x^{6} + 27 x^{4} + 10 x^{2} + 1$ $2^{30}\cdot 7^{8}$ $C_2^3:A_4$ (as 12T58) trivial $2271.15178361$
12.8.6499837226778624.3 $x^{12} - 15 x^{8} - 2 x^{6} + 36 x^{4} - 12 x^{2} + 1$ $2^{24}\cdot 3^{18}$ $C_2^3:A_4$ (as 12T58) trivial $6390.13442863$
12.4.6499837226778624.29 $x^{12} - 12 x^{8} - 14 x^{6} + 9 x^{4} + 12 x^{2} + 1$ $2^{24}\cdot 3^{18}$ $C_2^3:A_4$ (as 12T58) trivial $2915.1114474$
12.12.26635831223765625.1 $x^{12} - 3 x^{11} - 15 x^{10} + 55 x^{9} + 48 x^{8} - 303 x^{7} + 90 x^{6} + 516 x^{5} - 312 x^{4} - 278 x^{3} + 153 x^{2} + 48 x - 19$ $3^{16}\cdot 5^{6}\cdot 199^{2}$ $C_2^3:A_4$ (as 12T58) trivial $16635.8219018$
12.8.46221064723759104.2 $x^{12} - 6 x^{10} + 3 x^{8} + 30 x^{6} - 42 x^{4} + 12 x^{2} + 1$ $2^{30}\cdot 3^{16}$ $C_2^3:A_4$ (as 12T58) trivial $13263.9231209$
12.4.46221064723759104.12 $x^{12} - 6 x^{10} - 3 x^{8} + 30 x^{6} + 36 x^{4} + 12 x^{2} + 1$ $2^{30}\cdot 3^{16}$ $C_2^3:A_4$ (as 12T58) trivial $4523.69850917$
12.0.52456210366771264.2 $x^{12} - 5 x^{11} + 10 x^{10} - 14 x^{9} + 4 x^{8} + 34 x^{7} - 47 x^{6} + 45 x^{5} + 32 x^{4} - 68 x^{3} + 20 x^{2} + 36 x + 16$ $2^{6}\cdot 31^{10}$ $C_2^3:A_4$ (as 12T58) $[9]$ $5007.63993466$
12.4.303305489096114176.2 $x^{12} + 16 x^{10} + 88 x^{8} + 190 x^{6} + 121 x^{4} - 38 x^{2} + 1$ $2^{30}\cdot 7^{10}$ $C_2^3:A_4$ (as 12T58) trivial $18039.9289201$
12.8.303305489096114176.3 $x^{12} - 6 x^{10} - 13 x^{8} + 106 x^{6} - 104 x^{4} + 8 x^{2} + 1$ $2^{30}\cdot 7^{10}$ $C_2^3:A_4$ (as 12T58) trivial $35458.0805586$
12.8.415989582513831936.6 $x^{12} - 6 x^{10} - 9 x^{8} + 78 x^{6} - 18 x^{4} - 108 x^{2} + 9$ $2^{30}\cdot 3^{18}$ $C_2^3:A_4$ (as 12T58) trivial $60287.1772797$
12.4.415...936.19 $x^{12} + 6 x^{10} - 21 x^{8} - 188 x^{6} - 285 x^{4} + 30 x^{2} + 1$ $2^{30}\cdot 3^{18}$ $C_2^3:A_4$ (as 12T58) trivial $30994.8576366$
12.0.839299365868340224.2 $x^{12} - 3 x^{10} + 27 x^{8} - 49 x^{6} + 92 x^{4} - 68 x^{2} + 16$ $2^{10}\cdot 31^{10}$ $C_2^3:A_4$ (as 12T58) $[9]$ $47570.5723119$
12.8.875884192259375104.1 $x^{12} - 2 x^{10} - 13 x^{8} + 14 x^{6} + 26 x^{4} - 28 x^{2} + 1$ $2^{30}\cdot 13^{8}$ $C_2^3:A_4$ (as 12T58) trivial $44602.7411646$
12.4.875...104.12 $x^{12} + 8 x^{10} - 38 x^{6} - 39 x^{4} - 6 x^{2} + 1$ $2^{30}\cdot 13^{8}$ $C_2^3:A_4$ (as 12T58) trivial $21419.6350311$
12.0.335...896.10 $x^{12} - 12 x^{10} + 60 x^{8} - 98 x^{6} + 147 x^{4} - 130 x^{2} + 64$ $2^{12}\cdot 31^{10}$ $C_2^3:A_4$ (as 12T58) $[18]$ $22402.7593676$
12.0.335...896.14 $x^{12} - 6 x^{10} + 15 x^{8} - 82 x^{6} + 480 x^{4} - 1184 x^{2} + 1024$ $2^{12}\cdot 31^{10}$ $C_2^3:A_4$ (as 12T58) $[18]$ $25262.3625398$
12.0.335...896.16 $x^{12} + 5 x^{10} - 18 x^{8} - 20 x^{6} + 344 x^{4} - 960 x^{2} + 1024$ $2^{12}\cdot 31^{10}$ $C_2^3:A_4$ (as 12T58) $[2, 18]$ $69157.3741111$
12.0.134...584.22 $x^{12} - 6 x^{10} + 15 x^{8} + 42 x^{6} - 140 x^{4} + 56 x^{2} + 1024$ $2^{14}\cdot 31^{10}$ $C_2^3:A_4$ (as 12T58) $[18]$ $145139.663993$
12.0.134...584.38 $x^{12} + 9 x^{10} + 26 x^{8} + 52 x^{6} + 136 x^{4} + 32 x^{2} + 256$ $2^{14}\cdot 31^{10}$ $C_2^3:A_4$ (as 12T58) $[18]$ $145504.628318$
12.8.182...784.2 $x^{12} - 10 x^{10} + 23 x^{8} + 22 x^{6} - 94 x^{4} + 16 x^{2} + 49$ $2^{30}\cdot 19^{8}$ $C_2^3:A_4$ (as 12T58) trivial $272582.854584$
12.4.182...784.21 $x^{12} + 6 x^{10} - 13 x^{8} - 92 x^{6} - 69 x^{4} + 62 x^{2} + 49$ $2^{30}\cdot 19^{8}$ $C_2^3:A_4$ (as 12T58) trivial $207414.242214$
12.0.537...336.46 $x^{12} + 14 x^{10} + 61 x^{8} + 52 x^{6} + 308 x^{4} - 192 x^{2} + 256$ $2^{16}\cdot 31^{10}$ $C_2^3:A_4$ (as 12T58) $[2, 18]$ $68501.2845348$
12.8.102...016.3 $x^{12} - 6 x^{10} - 4 x^{8} + 56 x^{6} - 61 x^{4} - 6 x^{2} + 1$ $2^{24}\cdot 19^{10}$ $C_2^3:A_4$ (as 12T58) trivial $508428.854995$
12.4.102...016.8 $x^{12} - 4 x^{10} - 25 x^{8} - 20 x^{6} + 10 x^{4} + 10 x^{2} + 1$ $2^{24}\cdot 19^{10}$ $C_2^3:A_4$ (as 12T58) trivial $195533.18316$
12.8.148...576.4 $x^{12} - 8 x^{10} - 8 x^{8} + 202 x^{6} - 449 x^{4} - 50 x^{2} + 625$ $2^{30}\cdot 13^{10}$ $C_2^3:A_4$ (as 12T58) $[2]$ $1367926.32557$
12.4.148...576.24 $x^{12} + 6 x^{10} - 37 x^{8} - 266 x^{6} - 284 x^{4} + 500 x^{2} + 625$ $2^{30}\cdot 13^{10}$ $C_2^3:A_4$ (as 12T58) $[2]$ $260226.572826$
12.8.366...536.1 $x^{12} - 10 x^{10} + 15 x^{8} + 76 x^{6} - 164 x^{4} - 16 x^{2} + 4$ $2^{32}\cdot 31^{8}$ $C_2^3:A_4$ (as 12T58) trivial $26170228.8757$
12.8.366...536.4 $x^{12} - 14 x^{10} - 107 x^{8} + 1516 x^{6} - 1910 x^{4} + 592 x^{2} + 16$ $2^{32}\cdot 31^{8}$ $C_2^3:A_4$ (as 12T58) trivial $20522359.3551$
12.8.366...536.5 $x^{12} + 6 x^{10} - 131 x^{8} + 428 x^{6} - 462 x^{4} + 96 x^{2} + 64$ $2^{32}\cdot 31^{8}$ $C_2^3:A_4$ (as 12T58) trivial $18762949.2549$
12.8.366...536.7 $x^{12} - 10 x^{10} - 33 x^{8} + 396 x^{6} - 4 x^{4} - 2768 x^{2} + 2116$ $2^{32}\cdot 31^{8}$ $C_2^3:A_4$ (as 12T58) trivial $18281652.4878$
12.4.366...536.12 $x^{12} - 14 x^{10} + 17 x^{8} + 152 x^{6} + 198 x^{4} + 96 x^{2} + 16$ $2^{32}\cdot 31^{8}$ $C_2^3:A_4$ (as 12T58) trivial $7829913.71559$
12.4.366...536.16 $x^{12} + 16 x^{10} - 100 x^{8} - 1320 x^{6} - 1028 x^{4} + 656 x^{2} + 16$ $2^{32}\cdot 31^{8}$ $C_2^3:A_4$ (as 12T58) trivial $10852566.9425$
12.4.366...536.17 $x^{12} + 30 x^{10} + 135 x^{8} + 56 x^{6} - 512 x^{4} - 576 x^{2} + 64$ $2^{32}\cdot 31^{8}$ $C_2^3:A_4$ (as 12T58) trivial $8325812.53378$
12.4.366...536.39 $x^{12} - 4 x^{10} - 134 x^{8} - 136 x^{6} + 1608 x^{4} + 1408 x^{2} + 256$ $2^{32}\cdot 31^{8}$ $C_2^3:A_4$ (as 12T58) trivial $6883827.8094$
12.8.658...024.4 $x^{12} - 26 x^{10} + 231 x^{8} - 790 x^{6} + 620 x^{4} + 876 x^{2} + 121$ $2^{30}\cdot 19^{10}$ $C_2^3:A_4$ (as 12T58) trivial $8725038.14989$
12.4.658...024.14 $x^{12} + 8 x^{10} - 100 x^{8} - 1018 x^{6} - 2101 x^{4} - 662 x^{2} + 121$ $2^{30}\cdot 19^{10}$ $C_2^3:A_4$ (as 12T58) trivial $3000629.41451$
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