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Label Polynomial Discriminant Galois group Class group Regulator
12.0.181824635281.1 $x^{12} - 2 x^{11} + 3 x^{10} - x^{9} + 2 x^{6} - x^{3} + 3 x^{2} - 2 x + 1$ $653^{4}$ $C_2\times A_5$ (as 12T76) trivial $3.37086598412$
12.0.1267247769841.1 $x^{12} - 3 x^{11} + 4 x^{10} - 2 x^{9} + 3 x^{8} - x^{7} - 3 x^{6} - x^{5} + 3 x^{4} - 2 x^{3} + 4 x^{2} - 3 x + 1$ $1061^{4}$ $C_2\times A_5$ (as 12T76) trivial $11.5675013954$
12.4.5157663560401.1 $x^{12} - 3 x^{10} + 9 x^{8} - 19 x^{6} + 17 x^{4} - 7 x^{2} + 1$ $11^{4}\cdot 137^{4}$ $C_2\times A_5$ (as 12T76) trivial $37.6474674343$
12.4.5282495463424.1 $x^{12} + 2 x^{10} + x^{8} - 2 x^{6} + 2 x^{4} - 4 x^{2} + 1$ $2^{18}\cdot 67^{4}$ $C_2\times A_5$ (as 12T76) trivial $38.5426444938$
12.4.14399778447616.1 $x^{12} - 3 x^{11} + x^{10} + 4 x^{9} - 9 x^{8} - x^{7} + 18 x^{6} - x^{5} - 9 x^{4} + 4 x^{3} + x^{2} - 3 x + 1$ $2^{8}\cdot 487^{4}$ $C_2\times A_5$ (as 12T76) trivial $90.05832921841369$
12.4.18825957754321.1 $x^{12} + 2 x^{10} + x^{8} + x^{6} + 2 x^{4} - 4 x^{2} + 1$ $2083^{4}$ $C_2\times A_5$ (as 12T76) trivial $89.89206078676011$
12.4.53697370966801.1 $x^{12} - 2 x^{11} - 2 x^{10} + 7 x^{9} - 10 x^{8} + 11 x^{7} - 2 x^{6} - 5 x^{5} + 4 x^{4} + 5 x^{3} - 14 x^{2} + 7 x - 1$ $2707^{4}$ $C_2\times A_5$ (as 12T76) trivial $138.27818534649447$
12.0.64000000000000.1 $x^{12} + 2 x^{10} + 5 x^{8} + 10 x^{6} + 10 x^{4} + 8 x^{2} + 1$ $2^{18}\cdot 5^{12}$ $C_2\times A_5$ (as 12T76) trivial $76.3868958918$
12.4.64000000000000.1 $x^{12} - 2 x^{10} + 5 x^{8} - 10 x^{6} + 10 x^{4} - 8 x^{2} + 1$ $2^{18}\cdot 5^{12}$ $C_2\times A_5$ (as 12T76) trivial $263.761582178$
12.4.81432864768256.1 $x^{12} - 2 x^{11} - x^{10} + 6 x^{9} - 10 x^{8} + 2 x^{7} + 19 x^{6} - 2 x^{5} - 10 x^{4} - 6 x^{3} - x^{2} + 2 x + 1$ $2^{8}\cdot 751^{4}$ $C_2\times A_5$ (as 12T76) trivial $233.8861697669029$
12.4.105251369305681.1 $x^{12} + x^{10} + x^{8} + 2 x^{6} + 14 x^{4} - 8 x^{2} + 1$ $3203^{4}$ $C_2\times A_5$ (as 12T76) trivial $385.11653707722746$
12.4.158286819901681.1 $x^{12} - x^{11} - 4 x^{10} + 3 x^{9} - 6 x^{8} + 11 x^{7} + 16 x^{6} - 37 x^{5} + 12 x^{4} + 19 x^{3} - 22 x^{2} + 8 x - 1$ $3547^{4}$ $C_2\times A_5$ (as 12T76) trivial $277.467368801113$
12.4.158465397596416.1 $x^{12} - 6 x^{11} + 15 x^{10} - 20 x^{9} + 10 x^{8} + 14 x^{7} - 37 x^{6} + 44 x^{5} - 18 x^{4} - 14 x^{3} + 15 x^{2} - 4 x + 1$ $2^{8}\cdot 887^{4}$ $C_2\times A_5$ (as 12T76) trivial $587.923502204563$
12.4.182600520376576.1 $x^{12} - 5 x^{11} + 6 x^{10} + 7 x^{9} - 24 x^{8} + 11 x^{7} + 39 x^{6} - 64 x^{5} + 22 x^{4} + 40 x^{3} - 52 x^{2} + 24 x - 4$ $2^{8}\cdot 919^{4}$ $C_2\times A_5$ (as 12T76) trivial $459.727556196385$
12.4.203080312890625.1 $x^{12} - 2 x^{11} - x^{10} + 5 x^{8} + 23 x^{7} - 26 x^{6} - 23 x^{5} + 5 x^{4} - x^{2} + 2 x + 1$ $5^{8}\cdot 151^{4}$ $C_2\times A_5$ (as 12T76) trivial $799.927455375665$
12.0.625000000000000.1 $x^{12} - x^{11} + 2 x^{10} - 5 x^{9} - 5 x^{8} + 14 x^{7} - 4 x^{6} + 28 x^{5} - 20 x^{4} - 40 x^{3} + 32 x^{2} - 32 x + 64$ $2^{12}\cdot 5^{16}$ $C_2\times A_5$ (as 12T76) trivial $1468.63969945$
12.0.960472390437121.1 $x^{12} - 3 x^{11} + 2 x^{10} + 7 x^{9} - 13 x^{8} - x^{7} + 23 x^{6} - 2 x^{5} - 52 x^{4} + 56 x^{3} + 32 x^{2} - 96 x + 64$ $19^{4}\cdot 293^{4}$ $C_2\times A_5$ (as 12T76) trivial $1952.10015439$
12.4.1600000000000000.2 $x^{12} - 2 x^{11} + 6 x^{10} - 10 x^{9} - 5 x^{8} + 12 x^{7} - 44 x^{6} + 12 x^{5} - 5 x^{4} - 10 x^{3} + 6 x^{2} - 2 x + 1$ $2^{18}\cdot 5^{14}$ $C_2\times A_5$ (as 12T76) $[2]$ $621.929886895$
12.4.1828652958613504.1 $x^{12} - 4 x^{11} + 2 x^{10} + 18 x^{9} - 35 x^{8} - 4 x^{7} + 78 x^{6} - 66 x^{5} - 24 x^{4} + 62 x^{3} - 46 x^{2} + 14 x - 1$ $2^{18}\cdot 17^{8}$ $C_2\times A_5$ (as 12T76) trivial $1316.18692074$
12.4.4096000000000000.1 $x^{12} - 4 x^{10} + 10 x^{8} - 20 x^{6} + 25 x^{4} - 14 x^{2} + 1$ $2^{24}\cdot 5^{12}$ $C_2\times A_5$ (as 12T76) trivial $2818.05188838$
12.0.4096000000000000.2 $x^{12} + 4 x^{10} + 10 x^{8} + 20 x^{6} + 25 x^{4} + 14 x^{2} + 1$ $2^{24}\cdot 5^{12}$ $C_2\times A_5$ (as 12T76) trivial $2486.18059849$
12.4.4452139149819904.1 $x^{12} - 4 x^{10} + 10 x^{8} + 10 x^{6} + 17 x^{4} - 10 x^{2} + 1$ $2^{18}\cdot 19^{8}$ $C_2\times A_5$ (as 12T76) trivial $1609.33267058$
12.0.4771040786343841.1 $x^{12} - 4 x^{11} + 3 x^{10} + 9 x^{9} - 16 x^{8} - 8 x^{7} + 41 x^{6} - 16 x^{5} - 64 x^{4} + 72 x^{3} + 48 x^{2} - 128 x + 64$ $8311^{4}$ $C_2\times A_5$ (as 12T76) trivial $2638.25275102$
12.0.11984637467948161.1 $x^{12} - 3 x^{11} + x^{10} + 9 x^{9} - 13 x^{8} - 9 x^{7} + 39 x^{6} - 18 x^{5} - 52 x^{4} + 72 x^{3} + 16 x^{2} - 96 x + 64$ $10463^{4}$ $C_2\times A_5$ (as 12T76) trivial $2033.07327056$
12.0.13044373862856961.1 $x^{12} - 4 x^{11} + 4 x^{10} + 3 x^{9} - 7 x^{8} + 4 x^{7} - 3 x^{6} + 8 x^{5} - 28 x^{4} + 24 x^{3} + 64 x^{2} - 128 x + 64$ $10687^{4}$ $C_2\times A_5$ (as 12T76) trivial $3889.54633106$
12.0.15625000000000000.1 $x^{12} - 4 x^{11} + 9 x^{10} - 10 x^{9} + 15 x^{8} - 6 x^{7} - x^{6} + 6 x^{5} + 55 x^{4} - 20 x^{3} - 31 x^{2} + 24 x + 16$ $2^{12}\cdot 5^{18}$ $C_2\times A_5$ (as 12T76) $[2]$ $9528.95530997$
12.4.29163289107845376.1 $x^{12} - 3 x^{10} + 3 x^{8} + 7 x^{6} + 24 x^{4} - 72 x^{2} + 36$ $2^{8}\cdot 3^{12}\cdot 11^{8}$ $C_2\times A_5$ (as 12T76) trivial $45147.06558269005$
12.12.34341192980985361.1 $x^{12} - 6 x^{11} + 3 x^{10} + 40 x^{9} - 58 x^{8} - 74 x^{7} + 160 x^{6} + 13 x^{5} - 128 x^{4} + 35 x^{3} + 18 x^{2} - 4 x - 1$ $13613^{4}$ $C_2\times A_5$ (as 12T76) trivial $21622.5825769$
12.4.40000000000000000.3 $x^{12} - 4 x^{10} - 10 x^{8} - 30 x^{6} + 65 x^{4} - 34 x^{2} + 1$ $2^{18}\cdot 5^{16}$ $C_2\times A_5$ (as 12T76) trivial $10612.8628858$
12.4.40000000000000000.4 $x^{12} + 6 x^{10} - 10 x^{8} - 60 x^{7} - 130 x^{6} - 60 x^{5} - 10 x^{4} + 6 x^{2} + 1$ $2^{18}\cdot 5^{16}$ $C_2\times A_5$ (as 12T76) trivial $22656.4836805$
12.4.40000000000000000.5 $x^{12} - 6 x^{11} + 14 x^{10} - 10 x^{9} - 5 x^{8} + 12 x^{7} - 12 x^{6} - 12 x^{5} - 5 x^{4} + 10 x^{3} + 14 x^{2} + 6 x + 1$ $2^{18}\cdot 5^{16}$ $C_2\times A_5$ (as 12T76) trivial $3974.84171775$
12.0.40000000000000000.8 $x^{12} - 4 x^{11} + 5 x^{10} + 5 x^{8} + 38 x^{7} + 18 x^{6} + 60 x^{5} + 70 x^{4} + 20 x^{3} + 92 x^{2} - 8 x + 40$ $2^{18}\cdot 5^{16}$ $C_2\times A_5$ (as 12T76) trivial $14080.5214246$
12.4.50679021603840256.1 $x^{12} + 3 x^{10} - 2 x^{9} - 19 x^{8} - 8 x^{7} - 15 x^{6} + 26 x^{5} + 166 x^{4} + 152 x^{3} - 100 x^{2} - 108 x + 28$ $2^{8}\cdot 11^{8}\cdot 31^{4}$ $C_2\times A_5$ (as 12T76) trivial $9156.445300271302$
12.4.80020393424895121.1 $x^{12} - x^{11} + 4 x^{10} - 19 x^{9} + 16 x^{8} - 87 x^{7} + 42 x^{6} - 205 x^{5} + 366 x^{4} + 5 x^{3} + 122 x^{2} - 88 x + 13$ $11^{8}\cdot 139^{4}$ $C_2\times A_5$ (as 12T76) trivial $9465.89477256365$
12.4.81091461181640625.1 $x^{12} + 3 x^{10} - 35 x^{6} + 15 x^{4} + 27 x^{2} + 16$ $3^{12}\cdot 5^{16}$ $C_2\times A_5$ (as 12T76) trivial $32553.60031892565$
12.4.102400000000000000.7 $x^{12} + 10 x^{10} + 30 x^{8} + 10 x^{6} - 75 x^{4} - 70 x^{2} + 25$ $2^{24}\cdot 5^{14}$ $C_2\times A_5$ (as 12T76) $[2]$ $10141.8831373$
12.0.102400000000000000.8 $x^{12} - 10 x^{10} + 30 x^{8} - 10 x^{6} - 75 x^{4} + 70 x^{2} + 25$ $2^{24}\cdot 5^{14}$ $C_2\times A_5$ (as 12T76) $[2]$ $1633.99628967$
12.0.117033789351264256.2 $x^{12} + 2 x^{10} - 7 x^{8} - 2 x^{6} + 10 x^{4} + 2 x^{2} + 1$ $2^{24}\cdot 17^{8}$ $C_2\times A_5$ (as 12T76) trivial $3363.55261089$
12.4.117033789351264256.2 $x^{12} - 2 x^{10} - 7 x^{8} + 2 x^{6} + 10 x^{4} - 2 x^{2} + 1$ $2^{24}\cdot 17^{8}$ $C_2\times A_5$ (as 12T76) trivial $13165.7114347$
12.4.131136595679248384.4 $x^{12} + 10 x^{8} - 22 x^{6} + 9 x^{4} - 142 x^{2} + 9$ $2^{18}\cdot 29^{8}$ $C_2\times A_5$ (as 12T76) trivial $52590.3324383$
12.4.131136595679248384.7 $x^{12} + 2 x^{8} - 58 x^{6} + 301 x^{4} - 174 x^{2} + 25$ $2^{18}\cdot 29^{8}$ $C_2\times A_5$ (as 12T76) trivial $12631.8759014$
12.4.160000000000000000.2 $x^{12} - 6 x^{11} + 14 x^{10} - 10 x^{9} - 5 x^{8} - 28 x^{7} + 28 x^{6} + 28 x^{5} - 5 x^{4} + 10 x^{3} + 14 x^{2} + 6 x + 1$ $2^{20}\cdot 5^{16}$ $C_2\times A_5$ (as 12T76) trivial $72129.4046523$
12.4.160000000000000000.7 $x^{12} - 2 x^{10} - 10 x^{8} + 10 x^{6} + 25 x^{4} - 68 x^{2} + 196$ $2^{20}\cdot 5^{16}$ $C_2\times A_5$ (as 12T76) trivial $193972.554911$
12.12.162...984.1 $x^{12} - 4 x^{11} - 10 x^{10} + 54 x^{9} + 17 x^{8} - 248 x^{7} + 70 x^{6} + 466 x^{5} - 172 x^{4} - 390 x^{3} + 74 x^{2} + 122 x + 19$ $2^{18}\cdot 887^{4}$ $C_2\times A_5$ (as 12T76) trivial $45880.8581126$
12.4.220066332185022961.1 $x^{12} - 3 x^{11} + 2 x^{9} + 11 x^{8} - 34 x^{7} + 85 x^{6} - 142 x^{5} + 127 x^{4} - 50 x^{3} - x^{2} + 6 x - 1$ $11^{8}\cdot 179^{4}$ $C_2\times A_5$ (as 12T76) trivial $18046.683534262764$
12.4.223580268118933504.4 $x^{12} - 4 x^{11} + 12 x^{10} - 24 x^{9} + 17 x^{8} + 2 x^{7} - 40 x^{6} + 98 x^{5} - 96 x^{4} + 44 x^{3} - 16 x^{2} + 18 x - 1$ $2^{18}\cdot 31^{8}$ $C_2\times A_5$ (as 12T76) trivial $17016.0692485$
12.4.267776757452022016.1 $x^{12} - 10 x^{10} + 55 x^{8} - 156 x^{6} + 175 x^{4} - 42 x^{2} + 25$ $2^{8}\cdot 11^{8}\cdot 47^{4}$ $C_2\times A_5$ (as 12T76) trivial $43667.89717209226$
12.0.284936905588473856.7 $x^{12} + 10 x^{10} + 34 x^{8} + 42 x^{6} + 13 x^{4} + 16 x^{2} + 9$ $2^{24}\cdot 19^{8}$ $C_2\times A_5$ (as 12T76) trivial $11735.1319559$
12.4.284...856.14 $x^{12} - 10 x^{10} + 34 x^{8} - 42 x^{6} + 13 x^{4} - 16 x^{2} + 9$ $2^{24}\cdot 19^{8}$ $C_2\times A_5$ (as 12T76) trivial $50684.6615895$
12.4.453261265828682481.1 $x^{12} - 3 x^{11} + 9 x^{10} - 33 x^{9} + 45 x^{8} - 66 x^{7} + 50 x^{6} + 189 x^{5} - 609 x^{4} + 1056 x^{3} - 1629 x^{2} + 1575 x - 441$ $3^{12}\cdot 31^{8}$ $C_2\times A_5$ (as 12T76) trivial $68449.18260250827$
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