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Label Polynomial Discriminant Galois group Class group Regulator
12.0.28455140560896.1 $x^{12} - 3 x^{10} - 4 x^{9} + 3 x^{8} + 6 x^{7} - 12 x^{6} + 12 x^{5} + 33 x^{4} - 4 x^{3} - 6 x^{2} + 1$ $2^{12}\cdot 3^{10}\cdot 7^{6}$ $C_2\times S_5$ (as 12T123) trivial $311.893578977$
12.0.29160000000000.1 $x^{12} - 4 x^{11} + 4 x^{10} + 2 x^{7} - 3 x^{6} - 2 x^{5} + 4 x^{2} + 4 x + 1$ $2^{12}\cdot 3^{6}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) trivial $182.146386006$
12.0.47608675209216.1 $x^{12} - 2 x^{11} - 5 x^{10} + 16 x^{9} - x^{8} - 38 x^{7} + 40 x^{6} + 20 x^{5} - 58 x^{4} + 14 x^{3} + 25 x^{2} - 10 x + 1$ $2^{12}\cdot 3^{8}\cdot 11^{6}$ $C_2\times S_5$ (as 12T123) trivial $392.471597206$
12.0.163840000000000.1 $x^{12} + 4 x^{10} - 20 x^{6} + 16 x^{2} + 4$ $2^{24}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) trivial $757.595712819$
12.0.475549784866816.3 $x^{12} - 4 x^{11} + 10 x^{10} - 12 x^{9} + 8 x^{8} + 4 x^{7} + 8 x^{6} - 80 x^{5} + 246 x^{4} - 416 x^{3} + 434 x^{2} - 264 x + 73$ $2^{28}\cdot 11^{6}$ $C_2\times S_5$ (as 12T123) trivial $1083.86692494$
12.0.475549784866816.6 $x^{12} + 2 x^{10} + 2 x^{8} - 16 x^{7} + 8 x^{6} - 12 x^{5} + 12 x^{3} + 10 x^{2} + 4 x + 1$ $2^{28}\cdot 11^{6}$ $C_2\times S_5$ (as 12T123) trivial $631.191385836$
12.0.475549784866816.9 $x^{12} + 3 x^{10} - 5 x^{8} + 2 x^{6} + 35 x^{4} - 29 x^{2} + 9$ $2^{28}\cdot 11^{6}$ $C_2\times S_5$ (as 12T123) trivial $890.558922891$
12.0.475549784866816.24 $x^{12} - 3 x^{10} + 4 x^{8} - 24 x^{6} + 80 x^{4} - 48 x^{2} + 64$ $2^{28}\cdot 11^{6}$ $C_2\times S_5$ (as 12T123) trivial $2286.7408574$
12.0.655360000000000.3 $x^{12} - 4 x^{11} + 4 x^{10} + 4 x^{2} + 4 x + 1$ $2^{26}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) trivial $2168.78805375$
12.0.729000000000000.1 $x^{12} - 6 x^{11} + 19 x^{10} - 40 x^{9} + 70 x^{8} - 106 x^{7} + 141 x^{6} - 154 x^{5} + 155 x^{4} - 130 x^{3} + 94 x^{2} - 44 x + 31$ $2^{12}\cdot 3^{6}\cdot 5^{12}$ $C_2\times S_5$ (as 12T123) $[2]$ $158.409216426$
12.0.899086312013824.4 $x^{12} - 3 x^{11} + 9 x^{10} - 26 x^{9} + 67 x^{8} - 127 x^{7} + 177 x^{6} - 190 x^{5} + 169 x^{4} - 125 x^{3} + 69 x^{2} - 24 x + 4$ $2^{22}\cdot 11^{8}$ $C_2\times S_5$ (as 12T123) trivial $425.416431339$
12.0.899086312013824.9 $x^{12} - 3 x^{11} + x^{10} + 6 x^{9} - 7 x^{8} - 5 x^{7} + 11 x^{6} - 42 x^{5} + 125 x^{4} - 121 x^{3} + 53 x^{2} - 28 x + 12$ $2^{22}\cdot 11^{8}$ $C_2\times S_5$ (as 12T123) trivial $998.404948359$
12.0.1184787066781696.2 $x^{12} - 5 x^{11} + 13 x^{10} - 26 x^{9} + 51 x^{8} - 69 x^{7} + 83 x^{6} - 100 x^{5} + 78 x^{4} - 58 x^{3} + 54 x^{2} - 8 x + 8$ $2^{22}\cdot 7^{10}$ $C_2\times S_5$ (as 12T123) $[3]$ $577.419679866$
12.0.1547476985184256.1 $x^{12} - 2 x^{11} + 3 x^{10} + 2 x^{9} + 3 x^{8} + 4 x^{7} + 18 x^{6} - 4 x^{5} + 3 x^{4} - 2 x^{3} + 3 x^{2} + 2 x + 1$ $2^{28}\cdot 7^{8}$ $C_2\times S_5$ (as 12T123) trivial $824.139051822$
12.4.1600000000000000.1 $x^{12} - 6 x^{11} + 21 x^{10} - 50 x^{9} + 90 x^{8} - 126 x^{7} + 131 x^{6} - 96 x^{5} + 25 x^{4} + 30 x^{3} - 56 x^{2} + 36 x - 1$ $2^{18}\cdot 5^{14}$ $C_2\times S_5$ (as 12T123) trivial $900.412330298$
12.0.1600000000000000.2 $x^{12} - 4 x^{11} + 8 x^{10} + 4 x^{7} - 16 x^{6} - 8 x^{5} + 8 x^{2} + 8 x + 4$ $2^{18}\cdot 5^{14}$ $C_2\times S_5$ (as 12T123) trivial $2663.05493892$
12.4.1902199139467264.1 $x^{12} - 2 x^{11} - 5 x^{10} + 10 x^{9} + x^{8} - 4 x^{6} + 8 x^{5} + 9 x^{4} - 34 x^{3} - 13 x^{2} + 2 x - 7$ $2^{30}\cdot 11^{6}$ $C_2\times S_5$ (as 12T123) trivial $2449.58260095$
12.0.1902199139467264.5 $x^{12} - 2 x^{11} - x^{10} + 8 x^{9} - 22 x^{8} + 16 x^{7} + 44 x^{6} - 72 x^{5} + 25 x^{4} + 22 x^{3} - 33 x^{2} + 22$ $2^{30}\cdot 11^{6}$ $C_2\times S_5$ (as 12T123) trivial $2197.80813688$
12.0.2494869834563584.3 $x^{12} - 2 x^{11} + 5 x^{10} - 6 x^{9} + 20 x^{8} - 2 x^{7} + 29 x^{6} + 2 x^{5} + 20 x^{4} + 6 x^{3} + 5 x^{2} + 2 x + 1$ $2^{22}\cdot 29^{6}$ $C_2\times S_5$ (as 12T123) trivial $2189.03641237$
12.0.2621440000000000.2 $x^{12} - 4 x^{11} + 6 x^{10} - 20 x^{8} + 4 x^{7} + 44 x^{6} + 4 x^{5} - 20 x^{4} + 6 x^{2} - 4 x + 1$ $2^{28}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) trivial $3881.28085459$
12.4.2621440000000000.2 $x^{12} - 4 x^{11} + 4 x^{10} + 12 x^{7} - 18 x^{6} - 12 x^{5} + 4 x^{2} + 4 x + 1$ $2^{28}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) trivial $2341.99871443$
12.4.2621440000000000.3 $x^{12} - 8 x^{10} + 20 x^{8} - 60 x^{6} + 100 x^{4} - 88 x^{2} + 4$ $2^{28}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) trivial $2052.73950916$
12.0.2621440000000000.5 $x^{12} - 8 x^{10} + 25 x^{8} - 4 x^{7} - 20 x^{6} - 8 x^{5} + 20 x^{4} - 4 x^{2} + 2$ $2^{28}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) trivial $1296.79422614$
12.0.2621440000000000.10 $x^{12} + 4 x^{10} - 10 x^{8} - 20 x^{6} + 25 x^{4} + 16 x^{2} + 4$ $2^{28}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) trivial $10217.5050004$
12.0.2621440000000000.13 $x^{12} + 8 x^{10} + 20 x^{8} + 60 x^{6} + 100 x^{4} + 88 x^{2} + 4$ $2^{28}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) trivial $856.916014818$
12.0.2621440000000000.19 $x^{12} - 2 x^{10} + 10 x^{8} - 8 x^{7} - 20 x^{6} + 56 x^{5} - 15 x^{4} - 40 x^{3} + 54 x^{2} - 40 x + 12$ $2^{28}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) trivial $2326.5119861$
12.0.2621440000000000.26 $x^{12} - 4 x^{11} + 12 x^{10} - 20 x^{9} + 25 x^{8} + 12 x^{7} - 28 x^{6} + 24 x^{5} + 60 x^{4} + 4 x^{2} + 24 x + 18$ $2^{28}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) trivial $3870.2674472$
12.0.3722460239233024.1 $x^{12} - 4 x^{11} + 4 x^{10} + 23 x^{8} + 4 x^{7} + 36 x^{6} - 4 x^{5} + 23 x^{4} + 4 x^{2} + 4 x + 1$ $2^{22}\cdot 31^{6}$ $C_2\times S_5$ (as 12T123) trivial $1732.29824311$
12.0.4096000000000000.1 $x^{12} - 2 x^{11} + x^{10} + 10 x^{9} + 10 x^{8} - 58 x^{7} + 121 x^{6} - 58 x^{5} + 10 x^{4} + 10 x^{3} + x^{2} - 2 x + 1$ $2^{24}\cdot 5^{12}$ $C_2\times S_5$ (as 12T123) trivial $1263.16676633$
12.0.4096000000000000.3 $x^{12} - 4 x^{11} + 4 x^{10} + 5 x^{8} + 30 x^{6} - 20 x^{5} - 5 x^{4} + 50 x^{2} + 20 x + 5$ $2^{24}\cdot 5^{12}$ $C_2\times S_5$ (as 12T123) $[2]$ $660.042073491$
12.0.4739148267126784.9 $x^{12} - 2 x^{11} - x^{10} + 8 x^{9} - 7 x^{8} - 14 x^{7} + 35 x^{6} + 4 x^{5} - 50 x^{4} - 4 x^{3} + 18 x^{2} + 28$ $2^{24}\cdot 7^{10}$ $C_2\times S_5$ (as 12T123) trivial $8558.97191325$
12.0.6189907940737024.1 $x^{12} + 6 x^{10} + 25 x^{8} + 20 x^{6} + 12 x^{4} + 4$ $2^{30}\cdot 7^{8}$ $C_2\times S_5$ (as 12T123) $[2]$ $1940.3378647$
12.0.6400000000000000.1 $x^{12} - 2 x^{11} + 2 x^{10} - 10 x^{9} + 6 x^{7} + 38 x^{6} + 2 x^{5} - 10 x^{3} + 18 x^{2} - 6 x + 1$ $2^{20}\cdot 5^{14}$ $C_2\times S_5$ (as 12T123) trivial $12297.4120774$
12.0.9934520342020096.3 $x^{12} - 4 x^{11} + 8 x^{10} - 4 x^{9} + x^{8} - 32 x^{7} + 148 x^{6} - 300 x^{5} + 388 x^{4} - 280 x^{3} + 88 x^{2} + 24 x + 52$ $2^{26}\cdot 23^{6}$ $C_2\times S_5$ (as 12T123) trivial $25182.4122752$
12.0.10485760000000000.6 $x^{12} - 4 x^{11} + 14 x^{10} - 20 x^{9} + 25 x^{8} + 25 x^{4} + 20 x^{3} + 14 x^{2} + 4 x + 1$ $2^{30}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) $[2]$ $7051.11613494$
12.4.10485760000000000.10 $x^{12} - 8 x^{10} + 25 x^{8} + 40 x^{6} - 40 x^{4} - 32 x^{2} + 16$ $2^{30}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) trivial $4621.30258585$
12.0.10485760000000000.16 $x^{12} - 4 x^{11} + 8 x^{10} + 10 x^{8} - 16 x^{7} - 16 x^{6} - 8 x^{5} + 25 x^{4} + 20 x^{3} + 8 x^{2} + 8 x + 4$ $2^{30}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) $[2]$ $5787.28060757$
12.0.10485760000000000.17 $x^{12} - 2 x^{10} + 10 x^{8} - 4 x^{7} - 20 x^{6} + 28 x^{5} - 15 x^{4} - 20 x^{3} + 42 x^{2} - 20 x + 6$ $2^{30}\cdot 5^{10}$ $C_2\times S_5$ (as 12T123) $[2]$ $2846.25561199$
12.0.16384000000000000.1 $x^{12} - 6 x^{10} + 15 x^{8} + 40 x^{6} + 35 x^{4} + 14 x^{2} + 1$ $2^{26}\cdot 5^{12}$ $C_2\times S_5$ (as 12T123) $[4]$ $2566.7768848$
12.0.16384000000000000.2 $x^{12} - 6 x^{11} + 19 x^{10} - 30 x^{9} + 20 x^{8} + 6 x^{7} + 29 x^{6} - 6 x^{5} + 20 x^{4} + 30 x^{3} + 19 x^{2} + 6 x + 1$ $2^{26}\cdot 5^{12}$ $C_2\times S_5$ (as 12T123) trivial $2841.38831837$
12.4.16384000000000000.2 $x^{12} - 2 x^{11} - 4 x^{10} - 35 x^{8} + 26 x^{7} + 48 x^{6} - 44 x^{5} + 25 x^{4} - 30 x^{3} - 6 x^{2} + 12 x + 4$ $2^{26}\cdot 5^{12}$ $C_2\times S_5$ (as 12T123) trivial $5830.85008831$
12.0.16384000000000000.3 $x^{12} - 4 x^{11} + 6 x^{10} - 20 x^{8} + 24 x^{7} + 34 x^{6} - 96 x^{5} + 90 x^{4} - 60 x^{3} + 32 x^{2} - 8 x + 2$ $2^{26}\cdot 5^{12}$ $C_2\times S_5$ (as 12T123) $[4]$ $574.260364063$
12.4.16384000000000000.4 $x^{12} + 10 x^{8} - 100 x^{6} + 185 x^{4} - 180 x^{2} + 100$ $2^{26}\cdot 5^{12}$ $C_2\times S_5$ (as 12T123) trivial $6835.69933473$
12.0.18956593068507136.1 $x^{12} - 4 x^{11} + 10 x^{10} - 12 x^{9} + 18 x^{8} + 12 x^{7} + 14 x^{6} + 52 x^{5} + 9 x^{4} + 16 x^{3} + 20 x^{2} - 16 x + 8$ $2^{26}\cdot 7^{10}$ $C_2\times S_5$ (as 12T123) $[2]$ $5161.13442578$
12.0.25600000000000000.1 $x^{12} - 2 x^{11} + 9 x^{10} + 10 x^{9} - 10 x^{8} - 2 x^{7} + 9 x^{6} + 2 x^{5} - 10 x^{4} - 10 x^{3} + 9 x^{2} + 2 x + 1$ $2^{22}\cdot 5^{14}$ $C_2\times S_5$ (as 12T123) trivial $8678.54836379$
12.4.25600000000000000.1 $x^{12} - 2 x^{11} + 11 x^{10} - 10 x^{9} + 30 x^{8} + 22 x^{7} - 49 x^{6} + 162 x^{5} - 160 x^{4} - 170 x^{3} + 121 x^{2} - 22 x + 1$ $2^{22}\cdot 5^{14}$ $C_2\times S_5$ (as 12T123) $[2]$ $3085.1300434$
12.0.25600000000000000.4 $x^{12} + 5 x^{10} + 45 x^{8} + 180 x^{6} + 200 x^{4} + 20 x^{2} + 100$ $2^{22}\cdot 5^{14}$ $C_2\times S_5$ (as 12T123) $[2]$ $2450.56983304$
12.4.25600000000000000.4 $x^{12} - 6 x^{11} + 9 x^{10} + 10 x^{9} - 40 x^{8} + 34 x^{7} + x^{6} - 14 x^{5} + 20 x^{4} - 30 x^{3} + 69 x^{2} - 54 x + 31$ $2^{22}\cdot 5^{14}$ $C_2\times S_5$ (as 12T123) $[2]$ $3345.6044979$
12.0.25999348907114496.24 $x^{12} + 15 x^{10} - 4 x^{9} + 87 x^{8} - 24 x^{7} + 226 x^{6} - 48 x^{5} + 267 x^{4} - 72 x^{3} + 135 x^{2} - 108 x + 21$ $2^{26}\cdot 3^{18}$ $C_2\times S_5$ (as 12T123) $[3]$ $6866.21258991$
12.0.39738081368080384.1 $x^{12} - 2 x^{11} - x^{10} + 6 x^{9} + 3 x^{8} - 28 x^{7} + 16 x^{6} + 60 x^{5} - 23 x^{4} - 110 x^{3} + 23 x^{2} + 66 x + 27$ $2^{28}\cdot 23^{6}$ $C_2\times S_5$ (as 12T123) trivial $16093.7559559$
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