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Label Polynomial Discriminant Galois group Class group
12.0.126548911552.1 x12 - 4x11 + 5x10 + 3x9 - 11x8 - 3x7 + 35x6 - 47x5 + 27x4 - 4x3 - x2 - x + 1 \( 2^{6}\cdot 7^{11} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.144627327488.1 x12 - 3x11 + 3x10 + 2x9 - 10x8 + 11x7 - x6 - 11x5 + 18x4 - 16x3 + 10x2 - 4x + 1 \( 2^{9}\cdot 7^{10} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.398655683181.1 x12 - 2x9 + 12x6 + 7x3 + 1 \( 3^{19}\cdot 7^{3} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.794280046581.1 x12 - 3x11 + 2x10 + 2x9 - 3x7 - x6 - 6x5 + 28x4 - 33x3 + 18x2 - 5x + 1 \( 3^{9}\cdot 7^{9} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.851162814333.2 x12 - 4x9 + 8x6 - 5x3 + 1 \( 3^{18}\cdot 13^{3} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.1012391292416.1 x12 - 3x11 + 5x10 - 17x9 + 38x8 - 46x7 + 49x6 - 44x5 + 20x4 - 10x3 + 6x2 + x + 1 \( 2^{9}\cdot 7^{11} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.2631821894933.1 x12 - 4x11 + 5x10 + 3x9 - 25x8 + 46x7 - 21x6 - 68x5 + 181x4 - 242x3 + 202x2 - 106x + 29 \( 7^{11}\cdot 11^{3} \) $D_4 \times C_3$ (as 12T14) trivial
12.6.3722179279923.1 x12 - 3x11 - x10 + 11x9 - 10x8 - 14x7 + 24x6 + 10x5 - 12x4 - 2x3 - 3x2 - x + 1 \( -\,3^{3}\cdot 13^{10} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.4760622968832.2 x12 - 9x10 + 33x8 - 54x6 + 45x4 - 18x2 + 3 \( 2^{12}\cdot 3^{19} \) $D_4 \times C_3$ (as 12T14) trivial
12.6.5559960326067.1 x12 - 5x11 + 6x10 + 9x9 - 26x8 + 15x7 - x6 + 12x5 - 6x4 - 16x3 + 5x2 + 6x + 1 \( -\,3^{9}\cdot 7^{10} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.7730680042917.1 x12 - 3x11 + 7x10 - 11x9 + 18x8 - 9x7 - 9x6 + 27x5 - x4 - 12x3 + 14x2 + 8x + 1 \( 3^{6}\cdot 13^{9} \) $D_4 \times C_3$ (as 12T14) trivial
12.6.8099130339328.1 x12 - 2x11 - 4x10 - 4x9 - 2x8 + 8x7 + 7x6 + 8x5 - 2x4 - 4x3 - 4x2 - 2x + 1 \( -\,2^{12}\cdot 7^{11} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.9256148959232.2 x12 - 3x10 + 2x8 + x6 + 4x4 - 12x2 + 8 \( 2^{15}\cdot 7^{10} \) $D_4 \times C_3$ (as 12T14) trivial
12.6.10578455953408.1 x12 - 2x11 - x10 - 2x9 + 3x8 + 14x7 - 20x6 + 34x4 + 12x3 - x2 + 2x + 1 \( -\,2^{18}\cdot 7^{9} \) $D_4 \times C_3$ (as 12T14) trivial
12.6.48388330638999.1 x12 - 4x11 + 3x10 + x9 + 9x8 - 23x7 + 27x6 - 17x5 - 10x4 + 14x3 - 4x2 + 3x + 1 \( -\,3^{3}\cdot 13^{11} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.64793042714624.1 x12 - 14x10 + 77x8 - 203x6 + 280x4 - 196x2 + 56 \( 2^{15}\cdot 7^{11} \) $D_4 \times C_3$ (as 12T14) $[2]$
12.0.92254156521408.1 x12 - 3x11 - 2x10 + 4x9 + 66x8 - 214x7 + 273x6 - 212x5 + 216x4 - 157x3 - 71x2 + 99x + 43 \( 2^{6}\cdot 3^{6}\cdot 7^{11} \) $D_4 \times C_3$ (as 12T14) $[2]$
12.6.136738899331083.1 x12 + 9x10 + 3x8 - 36x6 - 9x4 + 18x2 - 3 \( -\,3^{19}\cdot 7^{6} \) $D_4 \times C_3$ (as 12T14) trivial
12.6.304679870005248.2 x12 - 12x10 - 16x9 + 21x8 + 66x7 - 18x6 - 78x5 + 12x4 + 20x3 - 6x2 + 6x + 1 \( -\,2^{18}\cdot 3^{19} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.304679870005248.1 x12 - 18x10 + 132x8 - 432x6 + 720x4 - 576x2 + 192 \( 2^{18}\cdot 3^{19} \) $D_4 \times C_3$ (as 12T14) trivial
12.6.518344341716992.1 x12 - 6x11 + 27x10 - 80x9 + 153x8 - 198x7 + 147x6 - 18x5 - 81x4 + 88x3 - 23x2 - 10x + 1 \( -\,2^{18}\cdot 7^{11} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.518344341716992.1 x12 + 28x8 - 224x6 + 672x4 - 896x2 + 448 \( 2^{18}\cdot 7^{11} \) $D_4 \times C_3$ (as 12T14) $[2]$
12.6.564668382613504.4 x12 - x10 - 18x8 - 22x6 + 6x4 + 10x2 - 1 \( -\,2^{12}\cdot 13^{10} \) $D_4 \times C_3$ (as 12T14) trivial
12.6.623334901029867.1 x12 - 3x10 - 8x9 - 9x8 + 21x7 - 2x6 - 27x5 + 12x4 + 45x3 + 72x2 + 60x + 17 \( -\,3^{17}\cdot 13^{6} \) $D_4 \times C_3$ (as 12T14) trivial
12.6.677021181018112.2 x12 - 8x10 - 4x9 + 11x8 - 16x7 - 28x6 + 80x5 + 182x4 + 144x3 + 58x2 + 12x + 1 \( -\,2^{24}\cdot 7^{9} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.677298770454137.1 x12 - x11 - 2x10 - 5x9 + 16x8 + 7x7 + 26x6 - 3x5 + 108x4 + 183x3 + 294x2 + 184x + 103 \( 13^{10}\cdot 17^{3} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.773738492592128.1 x12 - 10x10 + 50x8 - 116x6 + 144x4 - 48x2 + 8 \( 2^{27}\cdot 7^{8} \) $D_4 \times C_3$ (as 12T14) trivial (GRH)
12.0.1306484927252973.1 x12 - 6x11 + 10x10 + 5x9 - 17x8 - 28x7 + 51x6 + 32x5 - 49x4 - 31x3 + 4x2 + 28x + 40 \( 3^{6}\cdot 13^{11} \) $D_4 \times C_3$ (as 12T14) $[4]$
12.12.2196839556078125.1 x12 - x11 - 17x10 + 8x9 + 79x8 - 32x7 - 126x6 + 37x5 + 81x4 - 15x3 - 19x2 + 2x + 1 \( 5^{6}\cdot 7^{8}\cdot 29^{3} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.2779905883635712.6 x12 - 2x11 - 6x10 + 30x9 - 17x8 - 50x7 + 172x6 - 204x5 + 266x4 - 228x3 + 384x2 - 206x + 125 \( 2^{18}\cdot 13^{9} \) $D_4 \times C_3$ (as 12T14) $[3]$
12.6.3502954942155823.1 x12 + 14x10 + 35x8 - 28x6 - 77x4 + 49x2 - 7 \( -\,7^{11}\cdot 11^{6} \) $D_4 \times C_3$ (as 12T14) trivial
12.12.4864965285308625.1 x12 - 4x11 - 9x10 + 45x9 + 10x8 - 150x7 + 56x6 + 135x5 - 36x4 - 53x3 - x2 + 6x + 1 \( 3^{9}\cdot 5^{3}\cdot 7^{11} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.5777633090469888.6 x12 - 12x10 + 72x8 - 212x6 + 324x4 - 72x2 + 8 \( 2^{27}\cdot 3^{16} \) $D_4 \times C_3$ (as 12T14) trivial (GRH)
12.6.5904266017370112.1 x12 - 2x11 - 4x10 + 38x9 - 16x8 - 216x7 + 126x6 + 540x5 - 289x4 - 676x3 + 332x2 + 418x - 251 \( -\,2^{12}\cdot 3^{6}\cdot 7^{11} \) $D_4 \times C_3$ (as 12T14) $[2]$
12.0.5904266017370112.1 x12 + 14x10 + 63x8 + 126x6 + 119x4 + 49x2 + 7 \( 2^{12}\cdot 3^{6}\cdot 7^{11} \) $D_4 \times C_3$ (as 12T14) $[4]$
12.6.6189907940737024.2 x12 - 10x10 + 11x8 + 46x6 + 6x4 - 12x2 - 1 \( -\,2^{30}\cdot 7^{8} \) $D_4 \times C_3$ (as 12T14) trivial
12.6.7340688973975552.3 x12 - 26x8 + 117x4 - 13 \( -\,2^{12}\cdot 13^{11} \) $D_4 \times C_3$ (as 12T14) trivial
12.6.19499511680335872.4 x12 - 15x8 + 18x4 - 3 \( -\,2^{24}\cdot 3^{19} \) $D_4 \times C_3$ (as 12T14) trivial
12.6.33174037869887488.6 x12 - 14x8 + 21x4 - 7 \( -\,2^{24}\cdot 7^{11} \) $D_4 \times C_3$ (as 12T14) $[2]$
12.6.33174037869887488.9 x12 - 28x9 - 21x8 + 112x7 + 140x6 - 168x5 - 413x4 + 672x3 - 364x2 + 84x - 7 \( -\,2^{24}\cdot 7^{11} \) $D_4 \times C_3$ (as 12T14) $[2]$
12.6.36138776487264256.4 x12 - 2x10 - 72x8 - 176x6 + 96x4 + 320x2 - 64 \( -\,2^{18}\cdot 13^{10} \) $D_4 \times C_3$ (as 12T14) trivial
12.12.37913186137014272.1 x12 - 16x10 + 88x8 - 204x6 + 212x4 - 88x2 + 8 \( 2^{27}\cdot 7^{10} \) $D_4 \times C_3$ (as 12T14) trivial (GRH)
12.0.37913186137014272.8 x12 + 16x10 + 88x8 + 204x6 + 212x4 + 88x2 + 8 \( 2^{27}\cdot 7^{10} \) $D_4 \times C_3$ (as 12T14) $[6]$
12.0.37913186137014272.9 x12 - 14x10 + 98x8 - 364x6 + 784x4 - 784x2 + 392 \( 2^{27}\cdot 7^{10} \) $D_4 \times C_3$ (as 12T14) $[2]$
12.12.43329355585159168.1 x12 - 16x10 + 90x8 - 230x6 + 273x4 - 126x2 + 7 \( 2^{30}\cdot 7^{9} \) $D_4 \times C_3$ (as 12T14) trivial (GRH)
12.0.43329355585159168.5 x12 + 16x10 + 90x8 + 230x6 + 273x4 + 126x2 + 7 \( 2^{30}\cdot 7^{9} \) $D_4 \times C_3$ (as 12T14) $[6]$
12.6.46221064723759104.5 x12 - 12x10 + 18x8 + 94x6 + 45x4 - 18x2 - 1 \( -\,2^{30}\cdot 3^{16} \) $D_4 \times C_3$ (as 12T14) trivial
12.6.49519263525896192.5 x12 - 26x8 + 104x4 - 8 \( -\,2^{33}\cdot 7^{8} \) $D_4 \times C_3$ (as 12T14) trivial
12.0.49519263525896192.7 x12 + 26x8 + 104x4 + 8 \( 2^{33}\cdot 7^{8} \) $D_4 \times C_3$ (as 12T14) trivial
12.6.51998697814228992.7 x12 + 12x10 - 212x6 + 276x4 - 72x2 - 8 \( -\,2^{27}\cdot 3^{18} \) $D_4 \times C_3$ (as 12T14) trivial
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