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Results (displaying all 12 matches)

Label Polynomial Discriminant Galois group Class group
12.0.63568613376.1 x12 - 4x11 + 9x10 - 14x9 + 16x8 - 14x7 + 10x6 - 6x5 + 6x4 - 6x3 + 6x2 - 4x + 1 \( 2^{12}\cdot 3^{6}\cdot 61\cdot 349 \) 12T261 Trivial
12.0.82201153536.1 x12 - 4x11 + 7x10 - 4x9 - 6x8 + 12x7 - 4x6 - 12x5 + 21x4 - 18x3 + 11x2 - 4x + 1 \( 2^{12}\cdot 3^{6}\cdot 27529 \) 12T261 Trivial
12.6.122023936000000.1 x12 - 2x10 - 4x9 - 9x8 + 2x7 + 20x6 + 22x5 + 13x4 - 2x3 - 9x2 - 6x - 1 \( -\,2^{18}\cdot 5^{6}\cdot 31^{3} \) 12T261 Trivial
12.6.833089536000000.1 x12 - 2x11 - 3x10 - 2x9 + 5x8 + 18x7 + 16x5 + 18x4 + 4x3 + 9x2 + 6x + 1 \( -\,2^{18}\cdot 3^{8}\cdot 5^{6}\cdot 31 \) 12T261 Trivial
12.8.1330221056000000.1 x12 - 2x11 - x10 + 8x9 - 3x8 + 18x7 - 5x6 - 54x5 + 10x4 + 38x3 - 2x2 - 8x - 1 \( 2^{18}\cdot 5^{6}\cdot 41\cdot 89^{2} \) 12T261 Trivial
12.12.1952518144000000.1 x12 - 4x11 - 6x10 + 32x9 + 12x8 - 86x7 - 14x6 + 92x5 + 10x4 - 40x3 - 5x2 + 6x + 1 \( 2^{18}\cdot 5^{6}\cdot 271\cdot 1759 \) 12T261 Trivial
12.10.2647588864000000.1 x12 - 6x11 + 5x10 + 30x9 - 54x8 - 30x7 + 103x6 - 2x5 - 82x4 + 6x3 + 27x2 + 2x - 1 \( -\,2^{22}\cdot 5^{6}\cdot 71\cdot 569 \) 12T261 Trivial
12.12.7432884512096256.1 x12 - 14x10 - 4x9 + 66x8 + 28x7 - 126x6 - 52x5 + 99x4 + 28x3 - 26x2 + 1 \( 2^{24}\cdot 3^{6}\cdot 23\cdot 26423 \) 12T261 Trivial
12.4.17511809024000000.1 x12 - 4x11 + 6x10 - 8x9 + 13x8 - 12x7 - 14x6 + 36x5 - 18x4 - 16x3 + 16x2 - 4 \( 2^{22}\cdot 5^{6}\cdot 191\cdot 1399 \) 12T261 Trivial
12.4.24621154304000000.1 x12 - 4x10 - 4x9 + 8x7 - 12x5 - 17x4 + 24x3 + 4x2 - 4 \( 2^{22}\cdot 5^{6}\cdot 31\cdot 12119 \) 12T261 Trivial
12.10.138928123904000000.1 x12 - 12x10 - 4x9 + 48x8 + 36x7 - 66x6 - 96x5 - 5x4 + 68x3 + 48x2 + 12x + 1 \( -\,2^{18}\cdot 5^{6}\cdot 31\cdot 1094129 \) 12T261 Trivial
12.8.574139764736000000.1 x12 - 6x11 + 5x10 + 16x9 - 29x8 + 100x7 - 191x6 + 74x5 - 27x4 + 36x3 + 76x2 - 80x + 16 \( 2^{18}\cdot 5^{6}\cdot 41\cdot 43^{4} \) 12T261 Trivial


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