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Label Polynomial Discriminant Galois group Class group
8.0.1578125.1 x8 - 2x7 + 3x5 - x4 - 3x3 + 2x + 1 \( 5^{6}\cdot 101 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.2828125.1 x8 - x7 - x6 - 2x5 + 4x4 + x3 + x2 - 3x + 1 \( 5^{6}\cdot 181 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.3203125.1 x8 - x7 + 2x6 + 2x5 + 3x3 + 2x2 + x + 1 \( 5^{7}\cdot 41 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.4765625.1 x8 - 3x7 + 8x6 - 11x5 + 15x4 - 11x3 + 8x2 - 3x + 1 \( 5^{7}\cdot 61 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.5328125.1 x8 - 2x7 + 7x6 - 10x5 + 16x4 - 15x3 + 13x2 - 6x + 1 \( 5^{6}\cdot 11\cdot 31 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.5328125.2 x8 - x7 + x5 - x4 + x3 + 5x2 + 4x + 1 \( 5^{6}\cdot 11\cdot 31 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.6265625.1 x8 - 3x7 + 7x5 - x4 - 7x3 + 3x + 1 \( 5^{6}\cdot 401 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.7203125.1 x8 - 4x7 + 3x6 + 5x5 - 4x4 - 5x3 + 2x2 + 2x + 1 \( 5^{6}\cdot 461 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.8140625.1 x8 - 4x7 + 4x6 + 2x5 - x4 - 6x3 + x2 + 3x + 1 \( 5^{6}\cdot 521 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.8453125.1 x8 - 3x7 + 4x6 - 2x5 - 4x4 + 10x3 - 5x2 - 5x + 5 \( 5^{6}\cdot 541 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.11890625.1 x8 - 3x7 - x6 + 8x5 + x4 - 10x3 + 5 \( 5^{6}\cdot 761 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.12203125.1 x8 - 2x7 + x6 + 4x5 - 6x4 - 3x3 + 9x2 + 6x + 1 \( 5^{6}\cdot 11\cdot 71 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.12203125.2 x8 - 4x7 + 11x6 - 19x5 + 26x4 - 25x3 + 20x2 - 10x + 5 \( 5^{6}\cdot 11\cdot 71 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.14703125.1 x8 - 3x7 + 7x5 - 6x4 + 3x3 - 12x + 11 \( 5^{6}\cdot 941 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.15953125.1 x8 - 3x7 + 2x6 + 5x5 - 4x4 - 5x3 + 8x2 + 6x + 1 \( 5^{6}\cdot 1021 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.16578125.1 x8 - 2x7 - x6 + 7x5 + x4 - 10x3 + 10x + 5 \( 5^{6}\cdot 1061 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.18828125.1 x8 - 3x7 + 8x6 - 16x5 + 20x4 - 26x3 + 23x2 - 13x + 11 \( 5^{7}\cdot 241 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.21265625.1 x8 - 4x7 + 6x6 - 4x5 + 6x4 - 10x3 + 5x2 + 5 \( 5^{6}\cdot 1361 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.21953125.1 x8 - 2x7 - 2x6 + x5 + 10x4 + x3 - 17x2 - 2x + 11 \( 5^{7}\cdot 281 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.22515625.1 x8 - 2x7 + x6 - 6x5 + 14x4 - 8x3 + 4x2 - 14x + 11 \( 5^{6}\cdot 11\cdot 131 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.22515625.2 x8 - 3x7 - x6 + 8x5 + x4 - 10x3 + 10x + 5 \( 5^{6}\cdot 11\cdot 131 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.25015625.1 x8 - x7 + 6x6 - 6x5 + 16x4 - 15x3 + 20x2 - 10x + 5 \( 5^{6}\cdot 1601 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.25328125.1 x8 - 4x7 + 13x6 - 25x5 + 41x4 - 45x3 + 42x2 - 23x + 11 \( 5^{6}\cdot 1621 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.25953125.1 x8 - 3x7 + 2x5 + 9x4 - 7x3 - 5x2 - 7x + 11 \( 5^{6}\cdot 11\cdot 151 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.25953125.2 x8 - 3x7 - x6 + 8x5 + 6x4 - 10x3 - 10x2 + 5x + 5 \( 5^{6}\cdot 11\cdot 151 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.26640625.1 x8 - 2x7 + 8x6 - 14x5 + 25x4 - 34x3 + 33x2 - 27x + 11 \( 5^{7}\cdot 11\cdot 31 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.26640625.2 x8 - 4x7 + 12x6 - 22x5 + 35x4 - 38x3 + 37x2 - 21x + 11 \( 5^{7}\cdot 11\cdot 31 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.26890625.1 x8 - 3x7 + 10x6 - 18x5 + 29x4 - 32x3 + 30x2 - 17x + 11 \( 5^{6}\cdot 1721 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.27203125.1 x8 - 2x7 - 3x6 + 5x5 + 11x4 - 10x3 - 17x2 + 9x + 11 \( 5^{6}\cdot 1741 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.29078125.1 x8 - x7 - 6x6 + 3x5 + 14x4 - 4x3 - 14x2 + 7x + 11 \( 5^{6}\cdot 1861 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.32515625.1 x8 - 4x7 + 10x6 - 16x5 + 24x4 - 26x3 + 25x2 - 14x + 11 \( 5^{6}\cdot 2081 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.32828125.1 x8 - 3x7 + 10x6 - 18x5 + 34x4 - 42x3 + 45x2 - 27x + 11 \( 5^{6}\cdot 11\cdot 191 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.32828125.2 x8 - 4x7 + x6 + 11x5 - 4x4 - 15x3 + 10x + 5 \( 5^{6}\cdot 11\cdot 191 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.32890625.1 x8 - 3x7 - 2x6 + 9x5 + 5x4 - 11x3 - 12x2 + 7x + 11 \( 5^{7}\cdot 421 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.34390625.1 x8 - 2x7 + x6 - 6x5 + 9x4 + 12x3 - 21x2 - 4x + 11 \( 5^{6}\cdot 31\cdot 71 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.34390625.2 x8 - 2x7 - 3x6 + 10x5 + 6x4 - 20x3 - 12x2 + 14x + 11 \( 5^{6}\cdot 31\cdot 71 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.36265625.1 x8 - x7 - 5x6 + 6x5 + 9x4 - 14x3 - 10x2 + 14x + 11 \( 5^{6}\cdot 11\cdot 211 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.36265625.2 x8 - 2x7 - 3x6 + 10x5 + x4 - 20x3 + 3x2 + 24x + 11 \( 5^{6}\cdot 11\cdot 211 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.38140625.1 x8 - 2x7 - 4x6 + 9x5 + 9x4 - 18x3 - 16x2 + 16x + 16 \( 5^{6}\cdot 2441 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.39078125.1 x8 - x7 - 6x6 + 3x5 + 19x4 - 9x3 - 19x2 + 2x + 11 \( 5^{6}\cdot 41\cdot 61 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.39078125.2 x8 - x7 - 5x6 + 6x5 + 14x4 - 9x3 - 15x2 + 9x + 11 \( 5^{6}\cdot 41\cdot 61 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.39078125.3 x8 - 2x7 + 2x6 - 5x5 + 11x4 + 5x3 + 23x2 + 9x + 11 \( 5^{6}\cdot 41\cdot 61 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.39078125.4 x8 - 2x7 - 6x6 + 7x5 + 16x4 - 5x3 - 10x2 + 5x + 5 \( 5^{6}\cdot 41\cdot 61 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.40953125.1 x8 - x7 + 8x6 - 10x5 + 26x4 - 25x3 + 32x2 - 17x + 11 \( 5^{6}\cdot 2621 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.43140625.1 x8 - x7 - 6x6 + 3x5 + 19x4 + x3 - 24x2 - 3x + 11 \( 5^{6}\cdot 11\cdot 251 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.43140625.2 x8 - 2x7 - 6x6 + 12x5 + 11x4 - 20x3 - 5x2 + 5x + 5 \( 5^{6}\cdot 11\cdot 251 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.43765625.1 x8 - 2x7 - 7x5 + 19x4 + 2x3 - 20x2 - 8x + 16 \( 5^{6}\cdot 2801 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.44000000.1 x8 - 7x6 + 19x4 - 23x2 + 11 \( 2^{8}\cdot 5^{6}\cdot 11 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.44000000.2 x8 - 6x6 + 16x4 - 21x2 + 11 \( 2^{8}\cdot 5^{6}\cdot 11 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial
8.0.44000000.3 x8 + 6x6 + 16x4 + 21x2 + 11 \( 2^{8}\cdot 5^{6}\cdot 11 \) $((C_8 : C_2):C_2):C_2$ (as 8T27) Trivial

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