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Results (displaying all 22 matches)

Label Polynomial Discriminant Galois group Class group
12.0.59081901957.1 x12 - 3x11 + 5x10 - 6x9 + 5x8 - 2x7 - x6 + 4x5 - 4x4 + 2x3 - x + 1 \( 3^{6}\cdot 13^{3}\cdot 37\cdot 997 \) 12T274 Trivial
12.0.71939651121.1 x12 - x11 - 3x10 + x9 + 5x8 + 3x7 - 3x6 - 7x5 - 2x4 + 3x3 + 2x2 + x + 1 \( 3^{6}\cdot 13^{3}\cdot 44917 \) 12T274 Trivial
12.2.307980921875.1 x12 - 2x11 + 3x10 - 7x9 + 12x8 - 12x7 + 13x6 - 12x5 + 5x4 + 2x3 - 3x2 + 2x - 1 \( -\,5^{6}\cdot 11^{3}\cdot 59\cdot 251 \) 12T274 Trivial
12.2.327779546875.1 x12 - 2x11 + 2x10 - 3x9 + x8 + x7 + x4 - x3 + x2 + x - 1 \( -\,5^{6}\cdot 11^{3}\cdot 15761 \) 12T274 Trivial
12.4.1421487203125.1 x12 - x10 - x9 + 2x8 - 2x7 - 4x6 + 6x5 - 2x4 - 3x3 + 4x2 - 1 \( 5^{6}\cdot 11^{3}\cdot 68351 \) 12T274 Trivial
12.4.2186176000000.1 x12 - 4x11 + 4x10 + 4x9 - 13x8 + 10x7 + 6x6 - 14x5 + 5x4 + 4x3 - 5x2 + 1 \( 2^{12}\cdot 5^{6}\cdot 34159 \) 12T274 Trivial
12.0.2354305826816.1 x12 - 2x10 - 2x9 + 8x8 + 6x7 - 11x6 - 8x5 + 8x4 + 6x3 - 3x2 - 2x + 1 \( 2^{20}\cdot 17^{3}\cdot 457 \) 12T274 Trivial
12.6.5134519671875.1 x12 - 3x11 + 8x9 - 4x8 - 8x7 - 3x6 + 14x5 + 5x4 - 14x3 + 3x2 + 3x - 1 \( -\,5^{6}\cdot 11^{3}\cdot 246889 \) 12T274 Trivial
12.6.6337710296875.1 x12 - x11 - 4x10 + 5x9 + 5x8 - 9x7 - 5x6 + 6x5 + 6x4 - 3x3 - 4x2 + x + 1 \( -\,5^{6}\cdot 29^{3}\cdot 16631 \) 12T274 Trivial
12.6.6889511421875.1 x12 - x11 - 5x10 + 5x9 + 6x8 - 6x7 + 2x6 - 3x5 - 3x4 + 7x3 - 3x2 - 2x + 1 \( -\,5^{6}\cdot 29^{3}\cdot 101\cdot 179 \) 12T274 Trivial
12.4.46388259078125.1 x12 - x10 - 2x9 - 3x8 + 3x7 - x6 - 4x5 + 3x4 + x3 - x2 + 2x + 1 \( 5^{6}\cdot 29^{3}\cdot 41\cdot 2969 \) 12T274 Trivial
12.8.47211387828125.1 x12 - 6x10 - 3x9 + 11x8 + 16x7 - 6x6 - 24x5 - 4x4 + 11x3 + 5x2 - x - 1 \( 5^{6}\cdot 29^{3}\cdot 229\cdot 541 \) 12T274 Trivial
12.8.67964902515625.1 x12 - x11 - 7x10 + 8x9 + 14x8 - 21x7 - 4x6 + 19x5 - 9x4 + 4x2 - 4x + 1 \( 5^{6}\cdot 29^{3}\cdot 178349 \) 12T274 Trivial
12.4.78929282328125.1 x12 - 4x11 + 2x10 + 10x9 - 11x8 - 8x7 + 10x6 + 8x5 - 3x4 - 9x3 + x2 + 3x + 1 \( 5^{6}\cdot 29^{3}\cdot 207121 \) 12T274 Trivial
12.8.150445451890625.1 x12 - x11 - 8x10 + 7x9 + 24x8 - 22x7 - 34x6 + 39x5 + 16x4 - 27x3 + 3x2 + 4x - 1 \( 5^{6}\cdot 29^{3}\cdot 41\cdot 9629 \) 12T274 Trivial
12.10.396348306546875.1 x12 - 3x11 - 7x10 + 23x9 + 16x8 - 60x7 - 14x6 + 65x5 + 7x4 - 31x3 - 4x2 + 5x + 1 \( -\,5^{6}\cdot 29^{3}\cdot 1040071 \) 12T274 Trivial
12.10.438643405484375.1 x12 - 2x11 - 8x10 + 17x9 + 17x8 - 47x7 - 5x6 + 58x5 - 13x4 - 31x3 + 8x2 + 5x - 1 \( -\,5^{6}\cdot 7^{2}\cdot 13^{2}\cdot 29^{3}\cdot 139 \) 12T274 Trivial
12.6.512690822359375.1 x12 - 11x10 - 4x9 + 45x8 + 33x7 - 77x6 - 90x5 + 26x4 + 79x3 + 45x2 + 11x + 1 \( -\,5^{6}\cdot 11^{3}\cdot 739\cdot 33359 \) 12T274 Trivial
12.8.549754653453125.1 x12 - 11x10 - 5x9 + 40x8 + 33x7 - 49x6 - 54x5 + 17x4 + 29x3 + 3x2 - 4x - 1 \( 5^{6}\cdot 29\cdot 89^{3}\cdot 1721 \) 12T274 Trivial
12.12.1278540355140625.1 x12 - 2x11 - 11x10 + 20x9 + 43x8 - 67x7 - 71x6 + 90x5 + 40x4 - 49x3 - x2 + 7x - 1 \( 5^{6}\cdot 29^{3}\cdot 61\cdot 55001 \) 12T274 Trivial
12.12.1644873805328125.1 x12 - 5x11 - 2x10 + 43x9 - 35x8 - 122x7 + 160x6 + 120x5 - 225x4 - 6x3 + 90x2 - 21x + 1 \( 5^{6}\cdot 29^{3}\cdot 311\cdot 13879 \) 12T274 Trivial
12.0.20648722209513750000.1 x12 - 12x10 - 8x9 + 54x8 + 72x7 + 124x6 - 216x5 - 1311x4 - 648x3 + 2088x2 + 2592x + 11344 \( 2^{4}\cdot 3^{12}\cdot 5^{7}\cdot 11\cdot 41^{4} \) 12T274 Trivial


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