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Label Polynomial Discriminant Galois group Class group
12.0.47738317081.1 x12 - 3x11 + x10 + 7x9 - 8x8 - 4x7 + 13x6 - 4x5 - 8x4 + 7x3 + x2 - 3x + 1 \( 7^{10}\cdot 13^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.111964521321.1 x12 - 3x11 + 9x10 - 21x9 + 36x8 - 48x7 + 53x6 - 48x5 + 36x4 - 21x3 + 9x2 - 3x + 1 \( 3^{18}\cdot 17^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.1157018619904.3 x12 + 5x10 + 11x8 + 13x6 + 9x4 + 3x2 + 1 \( 2^{12}\cdot 7^{10} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.1586874322944.2 x12 - 6x10 + 15x8 - 19x6 + 12x4 - 3x2 + 1 \( 2^{12}\cdot 3^{18} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.1952986685049.1 x12 - 6x11 + 27x10 - 80x9 + 186x8 - 330x7 + 463x6 - 504x5 + 420x4 - 258x3 + 108x2 - 27x + 3 \( 3^{18}\cdot 71^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.4.3446462296225.1 x12 - 3x11 + 2x9 - 4x8 + 7x7 - 7x6 + 7x5 - 4x4 + 2x3 - 3x + 1 \( 5^{2}\cdot 13^{10} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.7877952219361.1 x12 - 3x11 + 13x9 - 18x8 - 14x7 + 57x6 - 28x5 - 72x4 + 104x3 - 96x + 64 \( 7^{10}\cdot 167^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.14866692390225.1 x12 - 2x11 + 4x10 - 2x9 + 2x8 - 2x7 - x6 - 2x5 + 2x4 - 2x3 + 4x2 - 2x + 1 \( 3^{6}\cdot 5^{2}\cdot 13^{8} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.15035401757601.1 x12 - 6x11 + 15x10 - 19x9 + 15x8 - 9x7 + 2x6 + 9x5 + 15x4 + 19x3 + 15x2 + 6x + 1 \( 3^{18}\cdot 197^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.4.15222677640625.1 x12 - 2x11 + 2x10 - 8x9 - 12x7 - 7x6 + 12x5 + 8x3 + 2x2 + 2x + 1 \( 5^{6}\cdot 7^{8}\cdot 13^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.15342238784889.1 x12 + 12x10 + 48x8 + 77x6 + 48x4 + 12x2 + 1 \( 3^{18}\cdot 199^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.16135268698129.1 x12 - 5x11 + 9x10 - 7x9 + 3x8 - x7 - x6 - 2x5 + 12x4 - 56x3 + 144x2 - 160x + 64 \( 7^{10}\cdot 239^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.17213603549184.3 x12 + x10 + 3x8 + 5x4 + 2x2 + 1 \( 2^{12}\cdot 3^{6}\cdot 7^{8} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.8.34801233152049.1 x12 - 3x11 - 4x10 + 16x9 + 4x8 - 24x7 - x6 - 4x5 - 10x4 + 26x3 + 31x2 + 10x + 1 \( 3^{6}\cdot 7^{10}\cdot 13^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.8.74049191673856.1 x12 - 2x11 - 6x10 + 4x9 + 10x8 + 10x7 + 34x6 + 2x5 - 71x4 - 60x3 - 10x2 + 4x + 1 \( 2^{18}\cdot 7^{10} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.74049191673856.3 x12 - 6x11 + 18x10 - 28x9 + 26x8 - 16x7 + 20x6 - 22x5 + 17x4 - 14x3 + 2x2 + 2x + 1 \( 2^{18}\cdot 7^{10} \) $C_2^2 \times A_4$ (as 12T25) $[2]$
12.0.74049191673856.5 x12 - 10x10 + 44x8 - 104x6 + 144x4 - 96x2 + 64 \( 2^{18}\cdot 7^{10} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.74049191673856.6 x12 + 10x10 + 44x8 + 104x6 + 144x4 + 96x2 + 64 \( 2^{18}\cdot 7^{10} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.8.96717311574016.1 x12 - 6x10 + 18x8 - 32x6 + 29x4 - 10x2 + 1 \( 2^{24}\cdot 7^{8} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.96717311574016.2 x12 + 5x8 + 6x4 + 1 \( 2^{24}\cdot 7^{8} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.96717311574016.4 x12 + 6x10 + 18x8 + 32x6 + 29x4 + 10x2 + 1 \( 2^{24}\cdot 7^{8} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.8.101559956668416.1 x12 - 6x10 - 16x9 - 3x8 + 42x7 + 86x6 + 42x5 - 54x4 - 56x3 - 6x2 + 6x + 1 \( 2^{18}\cdot 3^{18} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.101559956668416.4 x12 - 6x11 + 18x10 - 32x9 + 42x8 - 48x7 + 44x6 - 30x5 + 21x4 - 22x3 + 18x2 - 6x + 1 \( 2^{18}\cdot 3^{18} \) $C_2^2 \times A_4$ (as 12T25) $[2]$
12.0.101559956668416.15 x12 - 12x10 + 60x8 - 152x6 + 192x4 - 96x2 + 64 \( 2^{18}\cdot 3^{18} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.101559956668416.16 x12 + 12x10 + 60x8 + 152x6 + 192x4 + 96x2 + 64 \( 2^{18}\cdot 3^{18} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.117204636079881.1 x12 - 2x11 - x10 + 4x9 + x8 - 3x7 - x6 - 6x5 + 4x4 + 32x3 - 16x2 - 64x + 64 \( 3^{6}\cdot 7^{8}\cdot 167^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.240053283284409.1 x12 - x11 - 3x10 + 2x9 + 5x8 - 11x6 + 20x4 + 16x3 - 48x2 - 32x + 64 \( 3^{6}\cdot 7^{8}\cdot 239^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.304529408494441.1 x12 + x10 + 21x8 + 48x6 + 58x4 + 3x2 + 25 \( 13^{10}\cdot 47^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.8.564668382613504.1 x12 - 6x10 + 2x8 + 19x6 + 2x4 - 6x2 + 1 \( 2^{12}\cdot 13^{10} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.658532495724544.3 x12 - 6x10 + 17x8 - 35x6 + 68x4 - 96x2 + 64 \( 2^{12}\cdot 7^{8}\cdot 167^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.8.722204136308736.1 x12 - 6x10 + 3x8 + 12x6 + 3x4 - 6x2 + 1 \( 2^{24}\cdot 3^{16} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.722204136308736.6 x12 + 6x8 + 9x4 + 1 \( 2^{24}\cdot 3^{16} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.722204136308736.7 x12 + 6x10 + 3x8 - 12x6 + 3x4 + 6x2 + 1 \( 2^{24}\cdot 3^{16} \) $C_2^2 \times A_4$ (as 12T25) $[3]$
12.0.860374847629609.1 x12 - 6x11 + 17x10 - 30x9 + 54x8 - 102x7 + 184x6 - 255x5 + 318x4 - 303x3 + 231x2 - 109x + 53 \( 13^{10}\cdot 79^{2} \) $C_2^2 \times A_4$ (as 12T25) $[2]$
12.0.888825940217856.1 x12 - 9x10 + 33x8 - 53x6 + 45x4 - 9x2 + 9 \( 2^{12}\cdot 3^{16}\cdot 71^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.8.1101670627147776.1 x12 - 2x11 - 10x10 + 26x9 + 42x8 - 78x7 - 134x6 - 4x5 + 77x4 + 26x3 - 12x2 - 4x + 1 \( 2^{18}\cdot 3^{6}\cdot 7^{8} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.1101670627147776.4 x12 - 2x11 + 2x10 + 6x9 + 14x8 + 2x7 - 14x6 + 40x5 + 49x4 + 106x3 + 128x2 + 16x + 1 \( 2^{18}\cdot 3^{6}\cdot 7^{8} \) $C_2^2 \times A_4$ (as 12T25) $[2]$
12.0.1313620939600281.1 x12 - x11 - x10 + 8x9 - 5x8 - 6x7 + 29x6 - 12x5 - 20x4 + 64x3 - 16x2 - 32x + 64 \( 3^{6}\cdot 13^{8}\cdot 47^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.1348776746684416.1 x12 - 7x10 + 26x8 - 63x6 + 104x4 - 112x2 + 64 \( 2^{12}\cdot 7^{8}\cdot 239^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.8.1363454074150441.1 x12 - x11 - 12x10 + 11x9 + 40x8 - 57x7 - 36x6 + 197x5 + 82x4 - 221x3 - 124x2 + 78x + 43 \( 7^{10}\cdot 13^{6} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.1363454074150441.2 x12 - x11 + 18x10 - 14x9 + 138x8 - 82x7 + 517x6 - 202x5 + 976x4 - 392x3 + 688x2 - 128x + 64 \( 7^{10}\cdot 13^{6} \) $C_2^2 \times A_4$ (as 12T25) $[2, 2]$
12.4.2154038935140625.1 x12 - 3x11 + 12x10 - 15x9 + 3x8 - 14x7 - 15x6 - 16x5 - 51x4 - 41x3 - 16x2 - x + 1 \( 5^{6}\cdot 13^{10} \) $C_2^2 \times A_4$ (as 12T25) $[2]$
12.4.2154038935140625.2 x12 - x11 + 2x9 - 23x8 + 47x7 - 85x6 + 141x5 - 207x4 + 54x3 - 243x + 729 \( 5^{6}\cdot 13^{10} \) $C_2^2 \times A_4$ (as 12T25) $[2]$
12.12.2950947586890625.1 x12 - 2x11 - 16x10 + 12x9 + 74x8 - 10x7 - 119x6 - 10x5 + 74x4 + 12x3 - 16x2 - 2x + 1 \( 5^{6}\cdot 7^{8}\cdot 181^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.3711321088295769.1 x12 - 2x11 + x10 - 3x8 + 7x7 - 9x6 + 14x5 - 12x4 + 16x2 - 64x + 64 \( 3^{6}\cdot 13^{8}\cdot 79^{2} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.4.4739148267126784.1 x12 + 4x10 + 9x8 - 6x6 - 10x4 - 40x2 + 1 \( 2^{24}\cdot 7^{10} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.8.4739148267126784.2 x12 - 10x10 + 30x8 - 34x6 + 25x4 - 12x2 + 1 \( 2^{24}\cdot 7^{10} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.4.4739148267126784.2 x12 - 6x10 + 22x8 - 48x6 + 57x4 - 34x2 + 1 \( 2^{24}\cdot 7^{10} \) $C_2^2 \times A_4$ (as 12T25) Trivial
12.0.4739148267126784.3 x12 + 8x10 + 15x8 + 8x6 + 15x4 + 8x2 + 1 \( 2^{24}\cdot 7^{10} \) $C_2^2 \times A_4$ (as 12T25) $[4]$
12.0.4739148267126784.4 x12 + 10x10 + 30x8 + 34x6 + 25x4 + 12x2 + 1 \( 2^{24}\cdot 7^{10} \) $C_2^2 \times A_4$ (as 12T25) $[2]$
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