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Results: (displaying matches 1-20 of 212362)

Label Polynomial Discriminant Galois group Class group
12.0.41223887921.1 x12 - 2x11 + 2x10 - x9 + 2x8 - 5x7 + 8x6 - 7x5 + 4x4 - 3x3 + 4x2 - 3x + 1 \( 37^{2}\cdot 41\cdot 857^{2} \) 12T293 Trivial
12.0.41479432225.1 x12 - 4x11 + 8x10 - 11x9 + 12x8 - 9x7 + 3x6 + 2x5 - 3x4 + 2x3 - x + 1 \( 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 23^{4} \) 12T139 Trivial
12.0.42058512657.1 x12 + 2x10 - x9 + x8 - 5x7 + 6x6 - 10x5 + 13x4 - 10x3 + 7x2 - 4x + 1 \( 3^{6}\cdot 7^{2}\cdot 73\cdot 127^{2} \) 12T260 Trivial
12.0.42194001221.1 x12 - 3x11 + 7x10 - 12x9 + 17x8 - 21x7 + 24x6 - 24x5 + 22x4 - 17x3 + 10x2 - 4x + 1 \( 41\cdot 1029121981 \) $S_{12}$ Trivial
12.0.42553255797.1 x12 - x9 + 5x8 - 2x7 - x6 - 7x5 + 8x4 - 4x3 + 5x2 - 4x + 1 \( 3^{6}\cdot 13^{3}\cdot 163^{2} \) 12T167 Trivial
12.0.42925852301.1 x12 - x11 - 2x10 + 3x9 + x8 - x7 - x6 - 2x5 + 3x4 + 2x3 - 2x2 - x + 1 \( 79\cdot 543365219 \) $S_{12}$ Trivial
12.0.44223092609.1 x12 - x11 + x9 - 2x8 + x7 + 3x4 - x3 - 2x2 + 1 \( 89\cdot 22291^{2} \) 12T293 Trivial
12.0.44533203125.1 x12 - 2x11 + 7x10 - 7x9 + 14x8 - 6x7 + 13x6 - 2x5 + 10x4 - 2x3 + 5x2 - x + 1 \( 5^{9}\cdot 151^{2} \) 12T131 Trivial
12.0.45425463296.1 x12 - 2x11 + 2x9 - 2x8 + 3x6 - 2x4 - 2x3 + 2x + 1 \( 2^{12}\cdot 89\cdot 353^{2} \) 12T260 Trivial
12.0.45539379833.1 x12 - x11 - x9 + 3x8 - 2x7 + x6 - 2x5 + 3x4 - x3 - x + 1 \( 17\cdot 73^{2}\cdot 709^{2} \) 12T293 Trivial
12.0.46060985097.1 x12 - 5x11 + 12x10 - 19x9 + 24x8 - 27x7 + 28x6 - 24x5 + 15x4 - 5x3 + x2 - x + 1 \( 3^{6}\cdot 337\cdot 433^{2} \) 12T260 Trivial
12.0.46110822453.1 x12 - 2x11 + x10 + x9 + x8 - 5x7 + 6x6 - 4x5 + 4x4 - 5x3 + 5x2 - 3x + 1 \( 3^{6}\cdot 63252157 \) $S_6\wr C_2$ Trivial
12.0.46574387721.1 x12 - x11 - x10 + x9 + 2x8 - 3x6 + 2x4 + x3 - x2 - x + 1 \( 3^{6}\cdot 7993^{2} \) $S_6\times C_2$ Trivial
12.0.46580196393.1 x12 - 3x10 - x9 + 5x8 + x7 - 7x6 - x5 + 8x4 + 2x3 - 4x2 - x + 1 \( 3^{6}\cdot 157\cdot 406981 \) $S_6\wr C_2$ Trivial
12.0.46716936381.1 x12 - 4x11 + 9x10 - 15x9 + 23x8 - 33x7 + 44x6 - 50x5 + 45x4 - 29x3 + 13x2 - 4x + 1 \( 3^{6}\cdot 23^{4}\cdot 229 \) 12T193 Trivial
12.0.46779109213.1 x12 - 4x11 + 8x10 - 10x9 + 8x8 - 3x7 - 2x6 + 4x5 - 2x4 - x3 + 2x2 - x + 1 \( 31^{4}\cdot 37^{3} \) 12T150 Trivial
12.0.46911328256.1 x12 - 2x9 + 4x8 - 4x7 + x6 + 4x4 - 8x3 + 8x2 - 4x + 1 \( 2^{12}\cdot 13^{4}\cdot 401 \) 12T208 Trivial
12.0.47724987301.1 x12 - 3x11 + 7x10 - 11x9 + 16x8 - 19x7 + 20x6 - 18x5 + 15x4 - 11x3 + 6x2 - 3x + 1 \( 61\cdot 83^{2}\cdot 337^{2} \) 12T293 Trivial
12.0.47738317081.1 x12 - 3x11 + x10 + 7x9 - 8x8 - 4x7 + 13x6 - 4x5 - 8x4 + 7x3 + x2 - 3x + 1 \( 7^{10}\cdot 13^{2} \) 12T25 Trivial
12.0.48737056617.1 x12 - 2x11 + 5x10 - 10x9 + 16x8 - 22x7 + 30x6 - 31x5 + 28x4 - 27x3 + 19x2 - 7x + 1 \( 3^{9}\cdot 19^{5} \) 12T42 Trivial

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