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Label Polynomial Discriminant Galois group Class group Regulator
12.0.205924456521.1 $x^{12} - x^{11} + x^{9} - x^{8} + x^{6} - x^{4} + x^{3} - x + 1$ $3^{6}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) trivial $70.3993980027$
12.0.1157018619904.1 $x^{12} - x^{10} + x^{8} - x^{6} + x^{4} - x^{2} + 1$ $2^{12}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) trivial $123.252731541$
12.0.1586874322944.1 $x^{12} - x^{6} + 1$ $2^{12}\cdot 3^{18}$ $C_6\times C_2$ (as 12T2) trivial $162.837701397$
12.0.4413675765625.1 $x^{12} - x^{11} + 2 x^{10} - 3 x^{9} + 5 x^{8} - 8 x^{7} + 13 x^{6} + 8 x^{5} + 5 x^{4} + 3 x^{3} + 2 x^{2} + x + 1$ $5^{6}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) trivial $104.882003477$
12.0.6053445140625.1 $x^{12} - 4 x^{9} + 17 x^{6} + 4 x^{3} + 1$ $3^{18}\cdot 5^{6}$ $C_6\times C_2$ (as 12T2) trivial $201.000834787$
12.0.17213603549184.1 $x^{12} - 5 x^{10} + 19 x^{8} - 28 x^{6} + 31 x^{4} - 6 x^{2} + 1$ $2^{12}\cdot 3^{6}\cdot 7^{8}$ $C_6\times C_2$ (as 12T2) trivial $276.533351034$
12.0.45579633110361.1 $x^{12} - 5 x^{9} + 17 x^{6} - 40 x^{3} + 64$ $3^{18}\cdot 7^{6}$ $C_6\times C_2$ (as 12T2) trivial $429.612768163$
12.0.65664686390625.1 $x^{12} - x^{11} + 8 x^{10} + 3 x^{9} + 44 x^{8} - 2 x^{7} + 49 x^{6} - 13 x^{5} + 46 x^{4} - 10 x^{3} + 11 x^{2} + 2 x + 1$ $3^{6}\cdot 5^{6}\cdot 7^{8}$ $C_6\times C_2$ (as 12T2) trivial $104.882003477$
12.0.74049191673856.1 $x^{12} - 2 x^{10} + 4 x^{8} - 8 x^{6} + 16 x^{4} - 32 x^{2} + 64$ $2^{18}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) trivial $450.986245646$
12.0.74049191673856.2 $x^{12} + 2 x^{10} + 4 x^{8} + 8 x^{6} + 16 x^{4} + 32 x^{2} + 64$ $2^{18}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) $[2]$ $279.150027194$
12.0.96717311574016.1 $x^{12} + 13 x^{8} + 26 x^{4} + 1$ $2^{24}\cdot 7^{8}$ $C_6\times C_2$ (as 12T2) trivial $279.150027194$
12.0.100498840557921.1 $x^{12} - x^{11} + 6 x^{10} - 3 x^{9} + 23 x^{8} - 11 x^{7} + 41 x^{6} - 5 x^{5} + 43 x^{4} - 10 x^{3} + 15 x^{2} + 3 x + 1$ $3^{6}\cdot 13^{10}$ $C_6\times C_2$ (as 12T2) $[2]$ $120.784031363$
12.0.101559956668416.1 $x^{12} - 8 x^{6} + 64$ $2^{18}\cdot 3^{18}$ $C_6\times C_2$ (as 12T2) $[3]$ $555.739440423$
12.0.101559956668416.2 $x^{12} + 8 x^{6} + 64$ $2^{18}\cdot 3^{18}$ $C_6\times C_2$ (as 12T2) trivial $481.700375615$
12.0.368947264000000.1 $x^{12} + 15 x^{10} + 67 x^{8} + 108 x^{6} + 71 x^{4} + 18 x^{2} + 1$ $2^{12}\cdot 5^{6}\cdot 7^{8}$ $C_6\times C_2$ (as 12T2) $[3]$ $104.882003477$
12.0.500422134593689.1 $x^{12} - x^{11} - 2 x^{10} + 5 x^{9} + x^{8} - 16 x^{7} + 13 x^{6} - 48 x^{5} + 9 x^{4} + 135 x^{3} - 162 x^{2} - 243 x + 729$ $7^{10}\cdot 11^{6}$ $C_6\times C_2$ (as 12T2) trivial $706.974937058$
12.0.564668382613504.1 $x^{12} + 11 x^{10} + 45 x^{8} + 84 x^{6} + 70 x^{4} + 21 x^{2} + 1$ $2^{12}\cdot 13^{10}$ $C_6\times C_2$ (as 12T2) $[3]$ $120.784031363$
12.0.686339028913329.1 $x^{12} - 8 x^{9} + 37 x^{6} - 216 x^{3} + 729$ $3^{18}\cdot 11^{6}$ $C_6\times C_2$ (as 12T2) $[3]$ $1042.22134059$
12.0.722204136308736.1 $x^{12} + 18 x^{8} + 69 x^{4} + 1$ $2^{24}\cdot 3^{16}$ $C_6\times C_2$ (as 12T2) $[3]$ $481.700375615$
12.0.843466573910016.1 $x^{12} + 13 x^{10} + 64 x^{8} + 146 x^{6} + 148 x^{4} + 48 x^{2} + 1$ $2^{12}\cdot 3^{6}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) $[2]$ $140.798796005$
12.12.843466573910016.1 $x^{12} - 11 x^{10} + 44 x^{8} - 78 x^{6} + 60 x^{4} - 16 x^{2} + 1$ $2^{12}\cdot 3^{6}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) trivial $2121.69295548$
12.0.843466573910016.2 $x^{12} + 7 x^{10} + 35 x^{8} + 84 x^{6} + 147 x^{4} + 98 x^{2} + 49$ $2^{12}\cdot 3^{6}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) $[2]$ $246.505463083$
12.0.843466573910016.3 $x^{12} + 3 x^{10} + 9 x^{8} + 27 x^{6} + 81 x^{4} + 243 x^{2} + 729$ $2^{12}\cdot 3^{6}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) $[2]$ $553.066702068$
12.0.1101670627147776.1 $x^{12} - 10 x^{10} + 76 x^{8} - 224 x^{6} + 496 x^{4} - 192 x^{2} + 64$ $2^{18}\cdot 3^{6}\cdot 7^{8}$ $C_6\times C_2$ (as 12T2) trivial $687.114952909$
12.0.1101670627147776.2 $x^{12} + 10 x^{10} + 76 x^{8} + 224 x^{6} + 496 x^{4} + 192 x^{2} + 64$ $2^{18}\cdot 3^{6}\cdot 7^{8}$ $C_6\times C_2$ (as 12T2) $[3]$ $279.150027194$
12.0.1363454074150441.1 $x^{12} - x^{11} + 4 x^{10} - 7 x^{9} + 19 x^{8} - 40 x^{7} + 97 x^{6} + 120 x^{5} + 171 x^{4} + 189 x^{3} + 324 x^{2} + 243 x + 729$ $7^{10}\cdot 13^{6}$ $C_6\times C_2$ (as 12T2) $[2, 2]$ $562.775330001$
12.0.1870004703089601.1 $x^{12} - 10 x^{9} + 127 x^{6} + 270 x^{3} + 729$ $3^{18}\cdot 13^{6}$ $C_6\times C_2$ (as 12T2) $[2]$ $1744.53950676$
12.12.2154038935140625.1 $x^{12} - x^{11} - 16 x^{10} + 11 x^{9} + 79 x^{8} - 29 x^{7} - 145 x^{6} + 25 x^{5} + 107 x^{4} - 2 x^{3} - 27 x^{2} - 3 x + 1$ $5^{6}\cdot 13^{10}$ $C_6\times C_2$ (as 12T2) trivial $3586.95404679$
12.0.2435758881214464.1 $x^{12} - 9 x^{10} + 67 x^{8} - 124 x^{6} + 187 x^{4} - 14 x^{2} + 1$ $2^{12}\cdot 3^{6}\cdot 13^{8}$ $C_6\times C_2$ (as 12T2) $[3]$ $901.703393915$
12.0.2754990144000000.1 $x^{12} + 18 x^{10} + 99 x^{8} + 180 x^{6} + 123 x^{4} + 27 x^{2} + 1$ $2^{12}\cdot 3^{16}\cdot 5^{6}$ $C_6\times C_2$ (as 12T2) $[3]$ $201.000834787$
12.0.3217569633140625.1 $x^{12} - x^{11} + 11 x^{10} - 7 x^{9} + 40 x^{8} - 12 x^{7} + 62 x^{6} + 15 x^{5} + 31 x^{4} + 112 x^{3} - 40 x^{2} - 2 x + 211$ $3^{6}\cdot 5^{6}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) $[2]$ $140.798796005$
12.12.3217569633140625.1 $x^{12} - x^{11} - 19 x^{10} + 18 x^{9} + 110 x^{8} - 92 x^{7} - 218 x^{6} + 155 x^{5} + 166 x^{4} - 88 x^{3} - 40 x^{2} + 8 x + 1$ $3^{6}\cdot 5^{6}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) trivial $4500.30498389$
12.0.3217569633140625.2 $x^{12} - x^{11} - 7 x^{10} + 8 x^{9} + 34 x^{8} - 42 x^{7} - 76 x^{6} + 147 x^{5} + 76 x^{4} - 20 x^{3} - 154 x^{2} - 638 x + 841$ $3^{6}\cdot 5^{6}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) $[2]$ $1378.58167933$
12.0.3217569633140625.3 $x^{12} - x^{11} - 3 x^{10} + 7 x^{9} + 5 x^{8} - 33 x^{7} + 13 x^{6} - 132 x^{5} + 80 x^{4} + 448 x^{3} - 768 x^{2} - 1024 x + 4096$ $3^{6}\cdot 5^{6}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) $[2]$ $1378.58167933$
12.0.4469547301936929.1 $x^{12} - x^{11} - x^{10} - 18 x^{9} + 13 x^{8} + 9 x^{7} + 75 x^{6} + 5 x^{5} + 27 x^{4} - 107 x^{3} + 32 x^{2} - 35 x + 49$ $3^{6}\cdot 19^{10}$ $C_6\times C_2$ (as 12T2) $[3]$ $1924.35460113$
12.0.4739148267126784.1 $x^{12} + 12 x^{10} + 53 x^{8} + 104 x^{6} + 86 x^{4} + 24 x^{2} + 1$ $2^{24}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) $[4]$ $123.252731541$
12.12.4739148267126784.1 $x^{12} - 12 x^{10} + 53 x^{8} - 104 x^{6} + 86 x^{4} - 24 x^{2} + 1$ $2^{24}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) trivial $6860.20428063$
12.0.4739148267126784.2 $x^{12} + 21 x^{8} + 98 x^{4} + 49$ $2^{24}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) $[4]$ $450.986245646$
12.0.6499837226778624.1 $x^{12} + 12 x^{10} + 54 x^{8} + 112 x^{6} + 105 x^{4} + 36 x^{2} + 1$ $2^{24}\cdot 3^{18}$ $C_6\times C_2$ (as 12T2) $[6]$ $162.837701397$
12.12.6499837226778624.1 $x^{12} - 12 x^{10} + 54 x^{8} - 112 x^{6} + 105 x^{4} - 36 x^{2} + 1$ $2^{24}\cdot 3^{18}$ $C_6\times C_2$ (as 12T2) trivial $7377.40813629$
12.0.6499837226778624.2 $x^{12} + 18 x^{8} + 45 x^{4} + 9$ $2^{24}\cdot 3^{18}$ $C_6\times C_2$ (as 12T2) $[2]$ $555.739440423$
12.0.6818265813529681.1 $x^{12} - x^{11} + 5 x^{10} - 9 x^{9} + 29 x^{8} - 65 x^{7} + 181 x^{6} + 260 x^{5} + 464 x^{4} + 576 x^{3} + 1280 x^{2} + 1024 x + 4096$ $7^{10}\cdot 17^{6}$ $C_6\times C_2$ (as 12T2) $[5]$ $1059.54542703$
12.0.7445055839159169.1 $x^{12} - x^{11} - 3 x^{10} + 2 x^{9} - 16 x^{8} + 42 x^{7} + 31 x^{6} - 126 x^{5} + 545 x^{4} + 310 x^{3} - 2043 x^{2} - 284 x + 5041$ $3^{6}\cdot 7^{8}\cdot 11^{6}$ $C_6\times C_2$ (as 12T2) trivial $1236.8356247$
12.0.9291682743890625.1 $x^{12} - x^{11} + 13 x^{10} - 14 x^{9} + 138 x^{8} - 128 x^{7} + 377 x^{6} + 12 x^{5} + 431 x^{4} - 60 x^{3} + 195 x^{2} + 50 x + 25$ $3^{6}\cdot 5^{6}\cdot 13^{8}$ $C_6\times C_2$ (as 12T2) $[2, 2]$ $615.54450504$
12.0.9351388785251241.1 $x^{12} - 13 x^{9} + 233 x^{6} + 832 x^{3} + 4096$ $3^{18}\cdot 17^{6}$ $C_6\times C_2$ (as 12T2) $[2, 2]$ $1868.05183797$
12.0.13289296949899369.1 $x^{12} - x^{11} - 4 x^{10} + 9 x^{9} + 11 x^{8} - 56 x^{7} + x^{6} - 280 x^{5} + 275 x^{4} + 1125 x^{3} - 2500 x^{2} - 3125 x + 15625$ $7^{10}\cdot 19^{6}$ $C_6\times C_2$ (as 12T2) $[3]$ $1764.73769961$
12.0.13685690504052736.1 $x^{12} + 53 x^{8} + 178 x^{4} + 1$ $2^{24}\cdot 13^{8}$ $C_6\times C_2$ (as 12T2) $[3]$ $930.687500645$
12.0.16218913707543001.1 $x^{12} - x^{11} + 17 x^{10} - 10 x^{9} + 130 x^{8} - 53 x^{7} + 485 x^{6} - 86 x^{5} + 884 x^{4} - 128 x^{3} + 576 x^{2} + 96 x + 64$ $7^{6}\cdot 13^{10}$ $C_6\times C_2$ (as 12T2) $[7]$ $120.784031363$
12.0.18078415936000000.1 $x^{12} + 9 x^{10} + 32 x^{8} + 50 x^{6} + 44 x^{4} - 24 x^{2} + 169$ $2^{12}\cdot 5^{6}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) $[6]$ $246.505463083$
12.12.18078415936000000.1 $x^{12} - 21 x^{10} + 147 x^{8} - 420 x^{6} + 539 x^{4} - 294 x^{2} + 49$ $2^{12}\cdot 5^{6}\cdot 7^{10}$ $C_6\times C_2$ (as 12T2) trivial $12128.1462425$
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