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Results (displaying all 6 matches)

Label Polynomial Discriminant Galois group Class group
12.0.858246278477.1 x12 - 4x11 + 8x10 - 13x9 + 17x8 - 18x7 + 18x6 - 15x5 + 11x4 - 7x3 + x2 + x + 1 \( 7^{8}\cdot 53^{3} \) $C_3\times S_4$ (as 12T45) Trivial
12.6.14501103264256.1 x12 - x11 - 7x10 + 6x9 + 13x8 - 16x7 - x6 + 19x5 - 17x4 - 5x3 + 13x2 - 3x - 1 \( -\,2^{9}\cdot 7^{8}\cdot 17^{3} \) $C_3\times S_4$ (as 12T45) Trivial
12.6.22039921152000.1 x12 - 6x10 - 4x9 + 12x8 - 25x6 + 12x5 + 24x4 - 16x3 - 6x2 + 6x - 1 \( -\,2^{12}\cdot 3^{16}\cdot 5^{3} \) $C_3\times S_4$ (as 12T45) Trivial
12.0.69229431796189.1 x12 - 4x9 + 13x8 - 11x6 + 5x5 + 26x4 + x3 - x2 - 2x + 1 \( 7^{8}\cdot 229^{3} \) $C_3\times S_4$ (as 12T45) Trivial
12.12.5576647516812869.1 x12 - x11 - 16x10 + 9x9 + 90x8 - 16x7 - 225x6 - 26x5 + 249x4 + 81x3 - 97x2 - 47x - 1 \( 7^{8}\cdot 23^{3}\cdot 43^{3} \) $C_3\times S_4$ (as 12T45) Trivial
12.12.18053582868392517.1 x12 - 3x11 - 12x10 + 32x9 + 48x8 - 111x7 - 69x6 + 150x5 + 12x4 - 71x3 + 18x2 + 3x - 1 \( 3^{20}\cdot 173^{3} \) $C_3\times S_4$ (as 12T45) Trivial


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