Learn more

Refine search


Results (1-50 of 82 matches)

Next   displayed columns for results
Label Polynomial Discriminant Galois group Class group Regulator
12.0.46411484401953.1 $x^{12} - 4 x^{9} + 17 x^{6} - 4 x^{3} + 1$ $3^{9}\cdot 11^{9}$ $\SOPlus(4,2)$ (as 12T36) trivial $119.966636312$
12.0.58157342720000.1 $x^{12} - 2 x^{11} - 8 x^{9} + 10 x^{8} + 16 x^{6} + 8 x^{5} + 28 x^{4} + 8 x^{3} + 20 x^{2} + 4$ $2^{16}\cdot 5^{4}\cdot 17^{5}$ $\SOPlus(4,2)$ (as 12T36) trivial $212.982874279$
12.2.69259433447763.2 $x^{12} - x^{9} - x^{6} - x^{3} + 1$ $-\,3^{15}\cdot 13^{6}$ $\SOPlus(4,2)$ (as 12T36) trivial $154.445265134$
12.0.107567821094912.1 $x^{12} + 6 x^{10} - 2 x^{9} + 18 x^{8} - 14 x^{7} + 45 x^{6} - 20 x^{5} + 24 x^{4} - 6 x^{3} + x^{2} + 2 x + 1$ $2^{18}\cdot 17^{7}$ $\SOPlus(4,2)$ (as 12T36) trivial $121.960201024$
12.2.117231566641875.1 $x^{12} - 3 x^{11} + 3 x^{10} + 3 x^{9} - 9 x^{8} + 12 x^{7} - 3 x^{6} - 33 x^{5} + 72 x^{4} - 72 x^{3} + 60 x^{2} - 45 x + 15$ $-\,3^{13}\cdot 5^{4}\cdot 7^{6}$ $\SOPlus(4,2)$ (as 12T36) trivial $258.717712708$
12.0.143393766507472.1 $x^{12} - 5 x^{11} + 14 x^{10} - 28 x^{9} + 48 x^{8} - 69 x^{7} + 83 x^{6} - 87 x^{5} + 80 x^{4} - 61 x^{3} + 38 x^{2} - 20 x + 8$ $2^{4}\cdot 13^{5}\cdot 17^{6}$ $\SOPlus(4,2)$ (as 12T36) trivial $303.355053029$
12.0.169075682574336.1 $x^{12} + 4 x^{10} - 4 x^{9} + 10 x^{8} + 2 x^{6} + 16 x^{5} - 4 x^{4} + 4 x^{3} + 12 x^{2} + 3$ $2^{33}\cdot 3^{9}$ $\SOPlus(4,2)$ (as 12T36) trivial $503.338702385$
12.0.179359981764608.2 $x^{12} - 4 x^{10} + 18 x^{8} - 32 x^{6} + 57 x^{4} - 28 x^{2} + 8$ $2^{31}\cdot 17^{4}$ $\SOPlus(4,2)$ (as 12T36) trivial $1054.43483881$
12.0.503060929445888.15 $x^{12} + 4 x^{10} + 2 x^{8} - 4 x^{6} + 9 x^{4} + 16 x^{2} + 8$ $2^{35}\cdot 11^{4}$ $\SOPlus(4,2)$ (as 12T36) trivial $1497.62950611$
12.0.685529707511808.5 $x^{12} + 12 x^{10} - 2 x^{9} + 54 x^{8} - 18 x^{7} + 114 x^{6} - 54 x^{5} + 117 x^{4} - 62 x^{3} + 54 x^{2} - 24 x + 4$ $2^{16}\cdot 3^{21}$ $\SOPlus(4,2)$ (as 12T36) trivial $1770.07675319$
12.0.1521681143169024.3 $x^{12} - 8 x^{9} + 16 x^{6} + 8$ $2^{33}\cdot 3^{11}$ $\SOPlus(4,2)$ (as 12T36) trivial $1367.45863609$
12.0.1721085137518592.1 $x^{12} - 2 x^{11} + 3 x^{10} - 14 x^{9} + 32 x^{8} - 70 x^{7} + 141 x^{6} - 162 x^{5} + 128 x^{4} - 110 x^{3} + 67 x^{2} - 14 x + 3$ $2^{22}\cdot 17^{7}$ $\SOPlus(4,2)$ (as 12T36) trivial $1064.01224806$
12.2.2742118830047232.4 $x^{12} - 2 x^{9} - 2 x^{3} + 1$ $-\,2^{18}\cdot 3^{21}$ $\SOPlus(4,2)$ (as 12T36) trivial $2174.26408337$
12.2.2869759708233728.1 $x^{12} - 4 x^{11} + 6 x^{10} - 12 x^{9} + x^{8} - 8 x^{7} - 8 x^{5} + x^{4} - 12 x^{3} + 6 x^{2} - 4 x + 1$ $-\,2^{35}\cdot 17^{4}$ $\SOPlus(4,2)$ (as 12T36) trivial $2634.80287989$
12.0.3423782572130304.4 $x^{12} + 6 x^{10} + 12 x^{6} + 21 x^{4} + 6 x^{2} + 6$ $2^{31}\cdot 3^{13}$ $\SOPlus(4,2)$ (as 12T36) $[2]$ $1405.06268937$
12.0.3537090251849728.1 $x^{12} + 2 x^{10} - 8 x^{9} + 17 x^{8} - 16 x^{7} + 24 x^{6} - 16 x^{5} + 17 x^{4} - 8 x^{3} + 2 x^{2} + 1$ $2^{32}\cdot 7^{7}$ $\SOPlus(4,2)$ (as 12T36) $[2]$ $1524.31181569$
12.2.3966492492169216.1 $x^{12} - 2 x^{10} - 29 x^{8} - 88 x^{6} - 128 x^{4} - 72 x^{2} - 4$ $-\,2^{32}\cdot 31^{4}$ $\SOPlus(4,2)$ (as 12T36) trivial $3063.51849061$
12.0.6847565144260608.26 $x^{12} + 6 x^{10} - 8 x^{9} + 21 x^{8} - 48 x^{7} + 48 x^{6} - 96 x^{5} + 93 x^{4} - 104 x^{3} + 102 x^{2} + 25$ $2^{32}\cdot 3^{13}$ $\SOPlus(4,2)$ (as 12T36) $[2]$ $2721.94808262$
12.0.6847565144260608.30 $x^{12} - 4 x^{11} + 24 x^{9} - 14 x^{8} - 112 x^{7} + 164 x^{6} + 64 x^{5} - 218 x^{4} + 64 x^{3} + 144 x^{2} - 128 x + 32$ $2^{32}\cdot 3^{13}$ $\SOPlus(4,2)$ (as 12T36) trivial $3851.22972153$
12.0.10271347716390912.5 $x^{12} - 6 x^{10} + 24 x^{8} - 48 x^{6} + 45 x^{4} - 18 x^{2} + 18$ $2^{31}\cdot 3^{14}$ $\SOPlus(4,2)$ (as 12T36) $[2]$ $5837.13405799$
12.2.11277990709674579.1 $x^{12} - 15 x^{9} - 16 x^{6} - 15 x^{3} + 1$ $-\,3^{14}\cdot 11^{9}$ $\SOPlus(4,2)$ (as 12T36) $[3]$ $2759.04846544$
12.2.14280872991653888.1 $x^{12} + 6 x^{10} + 3 x^{8} + 32 x^{6} + 23 x^{4} - 230 x^{2} - 23$ $-\,2^{22}\cdot 23^{7}$ $\SOPlus(4,2)$ (as 12T36) trivial $2144.01575742$
12.0.15543550148214784.6 $x^{12} - 3 x^{11} + 9 x^{9} - 23 x^{7} + 33 x^{6} - 58 x^{5} + 168 x^{4} - 350 x^{3} + 404 x^{2} - 274 x + 106$ $2^{17}\cdot 17^{9}$ $\SOPlus(4,2)$ (as 12T36) $[2]$ $1815.6866528$
12.2.20542695432781824.21 $x^{12} - 6 x^{10} - 16 x^{9} - 15 x^{8} - 24 x^{7} - 24 x^{6} - 24 x^{5} - 15 x^{4} - 16 x^{3} - 6 x^{2} + 1$ $-\,2^{32}\cdot 3^{14}$ $\SOPlus(4,2)$ (as 12T36) trivial $7694.69688611$
12.2.41085390865563648.27 $x^{12} - 24 x^{8} - 92 x^{6} - 123 x^{4} - 36 x^{2} - 2$ $-\,2^{33}\cdot 3^{14}$ $\SOPlus(4,2)$ (as 12T36) $[3]$ $5766.66279094$
12.0.43873901280755712.19 $x^{12} + 12 x^{10} - 4 x^{9} + 54 x^{8} - 36 x^{7} + 120 x^{6} - 108 x^{5} + 153 x^{4} - 148 x^{3} + 108 x^{2} - 120 x + 52$ $2^{22}\cdot 3^{21}$ $\SOPlus(4,2)$ (as 12T36) trivial $19615.2324223$
12.0.61628086298345472.16 $x^{12} - 12 x^{10} - 16 x^{9} + 36 x^{8} + 120 x^{7} + 92 x^{6} - 72 x^{5} - 102 x^{4} + 24 x^{3} + 72 x^{2} + 144 x + 132$ $2^{32}\cdot 3^{15}$ $\SOPlus(4,2)$ (as 12T36) trivial $16645.3813689$
12.0.61628086298345472.17 $x^{12} + 12 x^{10} - 8 x^{9} + 54 x^{8} - 72 x^{7} + 144 x^{6} - 216 x^{5} + 297 x^{4} - 328 x^{3} + 324 x^{2} - 336 x + 164$ $2^{32}\cdot 3^{15}$ $\SOPlus(4,2)$ (as 12T36) $[3]$ $7062.02301849$
12.0.66060088129912832.2 $x^{12} - x^{11} + 5 x^{10} - x^{9} + 19 x^{8} - 11 x^{7} + 28 x^{6} + 40 x^{5} + 53 x^{4} - 35 x^{3} + 56 x^{2} + 50 x + 52$ $2^{15}\cdot 17^{10}$ $\SOPlus(4,2)$ (as 12T36) $[3]$ $9999.40082606$
12.0.92442129447518208.45 $x^{12} - 4 x^{9} + 36 x^{8} - 108 x^{7} + 200 x^{6} - 468 x^{5} + 753 x^{4} - 884 x^{3} + 1584 x^{2} - 2136 x + 1076$ $2^{31}\cdot 3^{16}$ $\SOPlus(4,2)$ (as 12T36) trivial $28092.659112$
12.2.164...592.16 $x^{12} - 16 x^{9} + 18 x^{8} - 48 x^{7} - 52 x^{6} + 120 x^{5} - 54 x^{4} - 224 x^{3} - 120 x^{2} - 96 x - 56$ $-\,2^{35}\cdot 3^{14}$ $\SOPlus(4,2)$ (as 12T36) trivial $29270.4133053$
12.0.164...592.79 $x^{12} - 4 x^{11} + 18 x^{10} - 60 x^{9} + 169 x^{8} - 400 x^{7} + 844 x^{6} - 1456 x^{5} + 2116 x^{4} - 2328 x^{3} + 1752 x^{2} - 784 x + 166$ $2^{35}\cdot 3^{14}$ $\SOPlus(4,2)$ (as 12T36) $[2]$ $18048.5946466$
12.0.164...592.81 $x^{12} - 8 x^{9} + 18 x^{8} + 4 x^{6} - 120 x^{5} + 138 x^{4} + 312 x^{2} - 288 x + 264$ $2^{35}\cdot 3^{14}$ $\SOPlus(4,2)$ (as 12T36) $[2]$ $13466.2777242$
12.2.175...848.27 $x^{12} - 8 x^{9} + 6 x^{6} - 8 x^{3} + 1$ $-\,2^{24}\cdot 3^{21}$ $\SOPlus(4,2)$ (as 12T36) trivial $16250.4292995$
12.2.184884258895036416.4 $x^{12} + 12 x^{10} - 8 x^{9} + 36 x^{8} - 96 x^{7} + 4 x^{6} - 144 x^{5} + 54 x^{4} + 296 x^{3} + 144 x^{2} - 240 x - 100$ $-\,2^{32}\cdot 3^{16}$ $\SOPlus(4,2)$ (as 12T36) $[2]$ $13675.4283482$
12.0.221...224.10 $x^{12} - 4 x^{11} + 22 x^{10} - 76 x^{9} + 239 x^{8} - 568 x^{7} + 1328 x^{6} - 2216 x^{5} + 3553 x^{4} - 4108 x^{3} + 4198 x^{2} - 2388 x + 1103$ $2^{35}\cdot 23^{5}$ $\SOPlus(4,2)$ (as 12T36) $[6]$ $2119.03888242$
12.2.264240352519651328.8 $x^{12} - x^{10} - 35 x^{8} - 81 x^{6} - 60 x^{4} - 30 x^{2} - 2$ $-\,2^{17}\cdot 17^{10}$ $\SOPlus(4,2)$ (as 12T36) trivial $15684.3779837$
12.0.497393604742873088.7 $x^{12} - 2 x^{11} + 5 x^{10} - 14 x^{9} + 34 x^{8} - 18 x^{7} + 79 x^{6} - 58 x^{5} + 28 x^{4} + 142 x^{3} + 583 x^{2} + 974 x + 919$ $2^{22}\cdot 17^{9}$ $\SOPlus(4,2)$ (as 12T36) $[12]$ $2814.11997512$
12.0.606610978192228352.4 $x^{12} + 2 x^{10} + 18 x^{8} + 64 x^{6} + 100 x^{4} + 200 x^{2} + 8$ $2^{31}\cdot 7^{10}$ $\SOPlus(4,2)$ (as 12T36) $[3, 6]$ $4282.63636183$
12.2.831...872.39 $x^{12} + 12 x^{10} + 54 x^{8} + 68 x^{6} - 159 x^{4} - 360 x^{2} - 32$ $-\,2^{31}\cdot 3^{18}$ $\SOPlus(4,2)$ (as 12T36) trivial $42468.7435699$
12.2.831...872.42 $x^{12} + 12 x^{10} + 54 x^{8} + 100 x^{6} + 33 x^{4} - 72 x^{2} - 32$ $-\,2^{31}\cdot 3^{18}$ $\SOPlus(4,2)$ (as 12T36) trivial $85833.8288488$
12.2.147...328.11 $x^{12} + 12 x^{10} + 54 x^{8} + 44 x^{6} - 303 x^{4} - 576 x^{2} - 128$ $-\,2^{35}\cdot 3^{16}$ $\SOPlus(4,2)$ (as 12T36) $[2]$ $40835.556576$
12.0.147...328.68 $x^{12} - 12 x^{10} - 16 x^{9} + 54 x^{8} + 144 x^{7} - 24 x^{6} - 432 x^{5} - 423 x^{4} + 328 x^{3} + 756 x^{2} + 312 x + 38$ $2^{35}\cdot 3^{16}$ $\SOPlus(4,2)$ (as 12T36) $[3]$ $27225.5707975$
12.12.203...888.1 $x^{12} - 6 x^{11} - 9 x^{10} + 74 x^{9} + 48 x^{8} - 270 x^{7} - 117 x^{6} + 360 x^{5} + 84 x^{4} - 172 x^{3} - 9 x^{2} + 12 x + 1$ $2^{16}\cdot 3^{13}\cdot 11^{7}$ $\SOPlus(4,2)$ (as 12T36) trivial $279893.771548$
12.2.332...488.128 $x^{12} - 16 x^{9} + 56 x^{6} + 160 x^{3} - 8$ $-\,2^{33}\cdot 3^{18}$ $\SOPlus(4,2)$ (as 12T36) $[3]$ $34178.8560928$
12.0.352...416.19 $x^{12} - 4 x^{11} + 6 x^{10} - 4 x^{9} + 25 x^{8} - 72 x^{7} + 8 x^{6} + 240 x^{5} - 218 x^{4} - 528 x^{3} + 1400 x^{2} - 1184 x + 392$ $2^{33}\cdot 17^{7}$ $\SOPlus(4,2)$ (as 12T36) $[4]$ $34859.5759199$
12.0.499...232.27 $x^{12} - 12 x^{10} - 8 x^{9} + 90 x^{8} + 120 x^{7} - 272 x^{6} - 648 x^{5} + 81 x^{4} + 1704 x^{3} + 2268 x^{2} + 1296 x + 396$ $2^{32}\cdot 3^{19}$ $\SOPlus(4,2)$ (as 12T36) trivial $158684.543593$
12.0.499...232.41 $x^{12} + 24 x^{10} - 8 x^{9} + 252 x^{8} - 96 x^{7} + 1312 x^{6} - 432 x^{5} + 3204 x^{4} + 192 x^{3} + 2592 x^{2} + 1728 x + 288$ $2^{32}\cdot 3^{19}$ $\SOPlus(4,2)$ (as 12T36) trivial $98614.0055855$
12.0.508...152.15 $x^{12} + 16 x^{10} + 108 x^{8} + 448 x^{6} + 1252 x^{4} + 2112 x^{2} + 1568$ $2^{35}\cdot 23^{6}$ $\SOPlus(4,2)$ (as 12T36) $[6]$ $79352.3565534$
12.0.542...728.3 $x^{12} - 20 x^{10} + 113 x^{8} - 124 x^{6} + 264 x^{4} - 122 x^{2} + 32$ $2^{17}\cdot 23^{10}$ $\SOPlus(4,2)$ (as 12T36) $[3]$ $44155.2665747$
Next   displayed columns for results