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Results (1-50 of 947 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
12.2.10129334617423.1 $x^{12} - x^{11} - x^{7} + x^{6} - x^{5} - x + 1$ $-\,7\cdot 79^{2}\cdot 15227^{2}$ $C_2^6.S_6$ (as 12T293) trivial $36.9356646613$
12.0.4170643265163361.1 $x^{12} - 2 x^{11} + 3 x^{10} - 4 x^{9} + 10 x^{8} - 10 x^{7} + 13 x^{6} - 20 x^{5} + 40 x^{4} - 32 x^{3} + 48 x^{2} - 64 x + 64$ $7\cdot 463\cdot 1134389^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $250.087165802$
12.0.9957135928926809.1 $x^{12} - x^{11} + 3 x^{10} - 4 x^{9} + 12 x^{8} - 13 x^{7} + 21 x^{6} - 26 x^{5} + 48 x^{4} - 32 x^{3} + 48 x^{2} - 32 x + 64$ $7\cdot 79^{2}\cdot 983\cdot 15227^{2}$ $C_2^6.S_6$ (as 12T293) $[4]$ $279.701241444$
12.0.19447988789390273.1 $x^{12} - 4 x^{11} + 13 x^{10} - 30 x^{9} + 61 x^{8} - 103 x^{7} + 157 x^{6} - 206 x^{5} + 244 x^{4} - 240 x^{3} + 208 x^{2} - 128 x + 64$ $7\cdot 17\cdot 127\cdot 1134389^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 2]$ $250.087165802$
12.0.19475399542781441.1 $x^{12} - 3 x^{11} + 6 x^{10} - 12 x^{9} + 15 x^{8} - 17 x^{7} + 27 x^{6} - 34 x^{5} + 60 x^{4} - 96 x^{3} + 96 x^{2} - 96 x + 64$ $7\cdot 17^{2}\cdot 47\cdot 101^{2}\cdot 4481^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $762.175905804$
12.0.22371054521566401.1 $x^{12} - 3 x^{11} + 3 x^{10} - 4 x^{9} + 13 x^{8} - 18 x^{7} + 17 x^{6} - 36 x^{5} + 52 x^{4} - 32 x^{3} + 48 x^{2} - 96 x + 64$ $3^{2}\cdot 7\cdot 17^{4}\cdot 47\cdot 9511^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $1313.02627732$
12.0.31343914451839304.1 $x^{12} - 5 x^{11} + 16 x^{10} - 39 x^{9} + 79 x^{8} - 137 x^{7} + 208 x^{6} - 274 x^{5} + 316 x^{4} - 312 x^{3} + 256 x^{2} - 160 x + 64$ $2^{3}\cdot 7\cdot 41^{2}\cdot 79\cdot 64921^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 2]$ $673.956970697$
12.0.54168319616192572.1 $x^{12} - x^{11} - 4 x^{10} + 4 x^{9} + 10 x^{8} - 5 x^{7} - 18 x^{6} - 10 x^{5} + 40 x^{4} + 32 x^{3} - 64 x^{2} - 32 x + 64$ $2^{2}\cdot 7\cdot 43983893^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $4223.47641991$
12.0.62943094010301281.1 $x^{12} - 4 x^{11} + 6 x^{10} - 2 x^{9} - 2 x^{8} - 5 x^{7} + 17 x^{6} - 10 x^{5} - 8 x^{4} - 16 x^{3} + 96 x^{2} - 128 x + 64$ $7\cdot 23^{2}\cdot 47\cdot 601379^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 2]$ $1356.89190661$
12.0.89675066327684089.1 $x^{12} - x^{11} + 3 x^{10} - 6 x^{9} + 5 x^{8} - 8 x^{7} + 13 x^{6} - 16 x^{5} + 20 x^{4} - 48 x^{3} + 48 x^{2} - 32 x + 64$ $7\cdot 103\cdot 859^{2}\cdot 12983^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $1369.30284911$
12.0.96544357652821568.1 $x^{12} - 2 x^{11} + 5 x^{10} - 9 x^{9} + 18 x^{8} - 26 x^{7} + 44 x^{6} - 52 x^{5} + 72 x^{4} - 72 x^{3} + 80 x^{2} - 64 x + 64$ $2^{6}\cdot 7\cdot 71\cdot 241^{2}\cdot 7229^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 2]$ $1249.53792336$
12.0.112326616490676700.1 $x^{12} - 3 x^{11} + x^{10} + 3 x^{9} + 2 x^{8} - 3 x^{7} - 6 x^{6} - 6 x^{5} + 8 x^{4} + 24 x^{3} + 16 x^{2} - 96 x + 64$ $2^{2}\cdot 5^{2}\cdot 7\cdot 151^{2}\cdot 83891^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $4590.97040533$
12.0.123216093388799096.1 $x^{12} - 4 x^{11} + 6 x^{10} - 5 x^{9} + 5 x^{8} - 5 x^{7} + 4 x^{6} - 10 x^{5} + 20 x^{4} - 40 x^{3} + 96 x^{2} - 128 x + 64$ $2^{3}\cdot 7\cdot 887^{2}\cdot 52883^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $5017.64704365$
12.0.129882328971571953.1 $x^{12} - 3 x^{11} + 5 x^{10} - 4 x^{9} - 2 x^{8} + 17 x^{7} - 31 x^{6} + 34 x^{5} - 8 x^{4} - 32 x^{3} + 80 x^{2} - 96 x + 64$ $3^{10}\cdot 7\cdot 31\cdot 83^{2}\cdot 1213^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $2327.18782579$
12.10.131...407.1 $x^{12} - 6 x^{11} + x^{10} + 50 x^{9} - 78 x^{8} - 54 x^{7} + 184 x^{6} - 87 x^{5} - 60 x^{4} + 69 x^{3} - 8 x^{2} - 12 x + 1$ $-\,7\cdot 11699^{4}$ $C_2\wr A_5$ (as 12T255) trivial $61461.15624$
12.0.168120858518216128.1 $x^{12} + x^{10} + x^{8} - 4 x^{7} - 4 x^{6} - 8 x^{5} + 4 x^{4} + 16 x^{2} + 64$ $2^{6}\cdot 7\cdot 19371881^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 2]$ $1667.89389733$
12.0.170010979020419516.1 $x^{12} + 5 x^{10} - 2 x^{9} + 16 x^{8} - 7 x^{7} + 38 x^{6} - 14 x^{5} + 64 x^{4} - 16 x^{3} + 80 x^{2} + 64$ $2^{2}\cdot 7\cdot 41^{2}\cdot 857\cdot 64921^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 4]$ $673.956970697$
12.0.195342200077868032.1 $x^{12} - x^{11} + x^{10} + 2 x^{9} - 2 x^{8} - 4 x^{7} + 8 x^{6} - 8 x^{5} - 8 x^{4} + 16 x^{3} + 16 x^{2} - 32 x + 64$ $2^{10}\cdot 7\cdot 17^{2}\cdot 307079^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $4588.51784353$
12.0.209937842096996377.1 $x^{12} - x^{11} + 4 x^{10} - x^{9} + 3 x^{8} + 12 x^{7} - 5 x^{6} + 24 x^{5} + 12 x^{4} - 8 x^{3} + 64 x^{2} - 32 x + 64$ $7\cdot 13^{2}\cdot 17\cdot 23\cdot 383^{2}\cdot 1759^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 2]$ $922.078706998$
12.0.210736405888043336.1 $x^{12} - 3 x^{11} + 7 x^{10} - 12 x^{9} + 17 x^{8} - 23 x^{7} + 32 x^{6} - 46 x^{5} + 68 x^{4} - 96 x^{3} + 112 x^{2} - 96 x + 64$ $2^{3}\cdot 7\cdot 31\cdot 11017801^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 2]$ $1537.18382754$
12.0.218609191308377457.1 $x^{12} - 5 x^{11} + 14 x^{10} - 26 x^{9} + 35 x^{8} - 37 x^{7} + 43 x^{6} - 74 x^{5} + 140 x^{4} - 208 x^{3} + 224 x^{2} - 160 x + 64$ $3^{4}\cdot 7\cdot 239\cdot 853^{2}\cdot 1489^{2}$ $C_2^6.S_6$ (as 12T293) $[4]$ $1055.21286614$
12.0.229535923030750364.1 $x^{12} - 2 x^{11} + 5 x^{10} - 9 x^{9} + 13 x^{8} - 17 x^{7} + 26 x^{6} - 34 x^{5} + 52 x^{4} - 72 x^{3} + 80 x^{2} - 64 x + 64$ $2^{2}\cdot 7\cdot 113\cdot 8517401^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 2]$ $1465.80499888$
12.0.235038398469373681.1 $x^{12} - 3 x^{11} + 7 x^{10} - 12 x^{9} + 21 x^{8} - 38 x^{7} + 57 x^{6} - 76 x^{5} + 84 x^{4} - 96 x^{3} + 112 x^{2} - 96 x + 64$ $7\cdot 13^{2}\cdot 23^{2}\cdot 223\cdot 41039^{2}$ $C_2^6.S_6$ (as 12T293) $[4]$ $1421.14687077$
12.0.240317811908650588.1 $x^{12} - 3 x^{11} + 8 x^{10} - 15 x^{9} + 25 x^{8} - 39 x^{7} + 54 x^{6} - 78 x^{5} + 100 x^{4} - 120 x^{3} + 128 x^{2} - 96 x + 64$ $2^{2}\cdot 7\cdot 92643289^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $5129.01961787$
12.0.263480552143108825.1 $x^{12} - x^{11} + 4 x^{10} - 7 x^{9} + 13 x^{8} - 19 x^{7} + 35 x^{6} - 38 x^{5} + 52 x^{4} - 56 x^{3} + 64 x^{2} - 32 x + 64$ $5^{2}\cdot 7\cdot 227^{2}\cdot 1039\cdot 5303^{2}$ $C_2^6.S_6$ (as 12T293) $[18]$ $1194.53436955$
12.0.272896411971753052.1 $x^{12} - 4 x^{11} + 9 x^{10} - 19 x^{9} + 35 x^{8} - 57 x^{7} + 86 x^{6} - 114 x^{5} + 140 x^{4} - 152 x^{3} + 144 x^{2} - 128 x + 64$ $2^{2}\cdot 7\cdot 98723353^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $6928.80599653$
12.0.306531833467456184.1 $x^{12} - x^{11} - 2 x^{10} - x^{9} + 11 x^{8} - 5 x^{7} - 12 x^{6} - 10 x^{5} + 44 x^{4} - 8 x^{3} - 32 x^{2} - 32 x + 64$ $2^{3}\cdot 7\cdot 151^{2}\cdot 181^{2}\cdot 2707^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $6084.92193248$
12.0.327402311051385052.1 $x^{12} - 4 x^{11} + 6 x^{10} - 7 x^{9} + 14 x^{8} - 23 x^{7} + 30 x^{6} - 46 x^{5} + 56 x^{4} - 56 x^{3} + 96 x^{2} - 128 x + 64$ $2^{2}\cdot 7\cdot 108133897^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $8137.81714423$
12.0.359254763997331321.1 $x^{12} - 3 x^{11} + 9 x^{10} - 18 x^{9} + 35 x^{8} - 54 x^{7} + 83 x^{6} - 108 x^{5} + 140 x^{4} - 144 x^{3} + 144 x^{2} - 96 x + 64$ $7\cdot 41\cdot 47\cdot 5160733^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 4]$ $590.035920064$
12.0.365124620927233433.1 $x^{12} - x^{11} + 2 x^{10} - 3 x^{9} + 11 x^{8} - 9 x^{7} + 13 x^{6} - 18 x^{5} + 44 x^{4} - 24 x^{3} + 32 x^{2} - 32 x + 64$ $7\cdot 719\cdot 8517401^{2}$ $C_2^6.S_6$ (as 12T293) $[14]$ $1465.80499888$
12.0.383469716437305001.1 $x^{12} - 3 x^{11} + 7 x^{10} - 10 x^{9} + 16 x^{8} - 21 x^{7} + 35 x^{6} - 42 x^{5} + 64 x^{4} - 80 x^{3} + 112 x^{2} - 96 x + 64$ $7\cdot 43^{2}\cdot 967\cdot 175039^{2}$ $C_2^6.S_6$ (as 12T293) $[8]$ $765.51181751$
12.0.395652564428929976.1 $x^{12} - 2 x^{11} - x^{10} + 4 x^{9} + 2 x^{8} - 5 x^{7} - 10 x^{5} + 8 x^{4} + 32 x^{3} - 16 x^{2} - 64 x + 64$ $2^{3}\cdot 7\cdot 61^{2}\cdot 643^{2}\cdot 2143^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $5748.26221609$
12.0.405274043788821256.1 $x^{12} - x^{11} + 5 x^{10} - 7 x^{9} + 18 x^{8} - 21 x^{7} + 44 x^{6} - 42 x^{5} + 72 x^{4} - 56 x^{3} + 80 x^{2} - 32 x + 64$ $2^{3}\cdot 7\cdot 311^{3}\cdot 15511^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 6]$ $1046.25078323$
12.0.429151523477920768.1 $x^{12} - 3 x^{11} + 6 x^{10} - 12 x^{9} + 23 x^{8} - 36 x^{7} + 52 x^{6} - 72 x^{5} + 92 x^{4} - 96 x^{3} + 96 x^{2} - 96 x + 64$ $2^{10}\cdot 7\cdot 17^{2}\cdot 191^{2}\cdot 2383^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 2]$ $4347.33337324$
12.0.454743736629850129.1 $x^{12} - x^{11} + 2 x^{10} + x^{8} + 7 x^{7} - 5 x^{6} + 14 x^{5} + 4 x^{4} + 32 x^{2} - 32 x + 64$ $7\cdot 11^{2}\cdot 127\cdot 2056079^{2}$ $C_2^6.S_6$ (as 12T293) $[6]$ $1827.12171471$
12.0.471288924154332928.1 $x^{12} - x^{11} + x^{10} - 2 x^{9} + 4 x^{7} + 8 x^{5} - 16 x^{3} + 16 x^{2} - 32 x + 64$ $2^{8}\cdot 7\cdot 59^{2}\cdot 274867^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 2]$ $8745.57935457$
12.0.507752764117404176.1 $x^{12} - 5 x^{11} + 12 x^{10} - 16 x^{9} + 6 x^{8} + 23 x^{7} - 53 x^{6} + 46 x^{5} + 24 x^{4} - 128 x^{3} + 192 x^{2} - 160 x + 64$ $2^{4}\cdot 7\cdot 23\cdot 14039551^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 6]$ $5376.79579298$
12.0.517046316763445504.1 $x^{12} - x^{11} + 3 x^{10} - 4 x^{9} + 8 x^{8} - 8 x^{7} + 20 x^{6} - 16 x^{5} + 32 x^{4} - 32 x^{3} + 48 x^{2} - 32 x + 64$ $2^{8}\cdot 7\cdot 47\cdot 2477689^{2}$ $C_2^6.S_6$ (as 12T293) $[2]$ $4983.24198117$
12.0.528482647416976700.1 $x^{12} - x^{11} + 5 x^{10} - 3 x^{9} + 12 x^{8} - 7 x^{7} + 26 x^{6} - 14 x^{5} + 48 x^{4} - 24 x^{3} + 80 x^{2} - 32 x + 64$ $2^{2}\cdot 5^{2}\cdot 7\cdot 227^{2}\cdot 521\cdot 5303^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 6]$ $1194.53436955$
12.0.549607795330868225.1 $x^{12} - 5 x^{11} + 12 x^{10} - 19 x^{9} + 23 x^{8} - 22 x^{7} + 23 x^{6} - 44 x^{5} + 92 x^{4} - 152 x^{3} + 192 x^{2} - 160 x + 64$ $5^{2}\cdot 7\cdot 47\cdot 1697^{2}\cdot 4817^{2}$ $C_2^6.S_6$ (as 12T293) $[6]$ $2082.0289165$
12.0.550089966256250000.1 $x^{12} - 4 x^{11} + 8 x^{10} - 11 x^{9} + 16 x^{8} - 27 x^{7} + 43 x^{6} - 54 x^{5} + 64 x^{4} - 88 x^{3} + 128 x^{2} - 128 x + 64$ $2^{4}\cdot 5^{8}\cdot 7\cdot 167\cdot 8677^{2}$ $C_2^6.S_6$ (as 12T293) $[18]$ $3063.6095226$
12.0.601140570506334208.1 $x^{12} + 3 x^{10} - 4 x^{9} + 4 x^{8} - 10 x^{7} + 11 x^{6} - 20 x^{5} + 16 x^{4} - 32 x^{3} + 48 x^{2} + 64$ $2^{12}\cdot 7\cdot 271\cdot 278147^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 4]$ $2135.34393422$
12.0.617691606111505296.1 $x^{12} - 4 x^{11} + 8 x^{10} - 15 x^{9} + 30 x^{8} - 49 x^{7} + 69 x^{6} - 98 x^{5} + 120 x^{4} - 120 x^{3} + 128 x^{2} - 128 x + 64$ $2^{4}\cdot 3^{2}\cdot 7\cdot 23\cdot 83^{2}\cdot 62189^{2}$ $C_2^6.S_6$ (as 12T293) $[10]$ $6063.69086677$
12.0.668806072869467449.1 $x^{12} - 2 x^{11} + 3 x^{10} - x^{9} + x^{8} - 8 x^{7} + 15 x^{6} - 16 x^{5} + 4 x^{4} - 8 x^{3} + 48 x^{2} - 64 x + 64$ $7\cdot 127\cdot 1657^{2}\cdot 16553^{2}$ $C_2^6.S_6$ (as 12T293) $[10]$ $2084.19888992$
12.0.709452706771642736.1 $x^{12} - 2 x^{11} + 4 x^{10} - 9 x^{9} + 15 x^{8} - 24 x^{7} + 40 x^{6} - 48 x^{5} + 60 x^{4} - 72 x^{3} + 64 x^{2} - 64 x + 64$ $2^{4}\cdot 7\cdot 17\cdot 19303153^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 2]$ $2011.86161231$
12.0.778071923090413721.1 $x^{12} - x^{11} + x^{10} - 5 x^{9} + 9 x^{8} - 11 x^{7} + 13 x^{6} - 22 x^{5} + 36 x^{4} - 40 x^{3} + 16 x^{2} - 32 x + 64$ $7\cdot 11^{2}\cdot 47\cdot 4420987^{2}$ $C_2^6.S_6$ (as 12T293) $[4]$ $2448.78700129$
12.0.888877984172339889.1 $x^{12} - 2 x^{11} + 6 x^{10} - 12 x^{9} + 20 x^{8} - 33 x^{7} + 47 x^{6} - 66 x^{5} + 80 x^{4} - 96 x^{3} + 96 x^{2} - 64 x + 64$ $3^{2}\cdot 7\cdot 13^{2}\cdot 383\cdot 541^{2}\cdot 863^{2}$ $C_2^6.S_6$ (as 12T293) $[6]$ $1576.43092703$
12.0.946823282852571873.1 $x^{12} - 4 x^{11} + 9 x^{10} - 17 x^{9} + 30 x^{8} - 49 x^{7} + 73 x^{6} - 98 x^{5} + 120 x^{4} - 136 x^{3} + 144 x^{2} - 128 x + 64$ $3^{6}\cdot 7\cdot 79\cdot 181^{2}\cdot 8467^{2}$ $C_2^6.S_6$ (as 12T293) $[2, 2]$ $3551.12024794$
12.0.109...441.1 $x^{12} - 5 x^{11} + 14 x^{10} - 30 x^{9} + 55 x^{8} - 90 x^{7} + 133 x^{6} - 180 x^{5} + 220 x^{4} - 240 x^{3} + 224 x^{2} - 160 x + 64$ $7\cdot 23\cdot 82597309^{2}$ $C_2^6.S_6$ (as 12T293) $[18]$ $7789.0272605$
12.0.114...569.1 $x^{12} - 2 x^{11} + 4 x^{10} - 11 x^{9} + 15 x^{8} - 23 x^{7} + 43 x^{6} - 46 x^{5} + 60 x^{4} - 88 x^{3} + 64 x^{2} - 64 x + 64$ $7\cdot 11^{2}\cdot 47\cdot 661^{2}\cdot 8111^{2}$ $C_2^6.S_6$ (as 12T293) $[6]$ $4216.46520345$
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