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Results: (displaying matches 1-20 of 116)

Label Polynomial Discriminant Galois group Class group
13.1.1325925503633.1 x13 - x12 - x11 + x10 + 3x8 - x7 - 5x6 + x5 + 4x4 + 2x3 - 3x2 - x + 1 \( 97\cdot 13669335089 \) $S_{13}$ Trivial
13.1.1346252740661.1 x13 - 4x11 + 5x9 - x7 - x6 - x5 + 2x4 + 2x3 - x2 - 2x + 1 \( 1346252740661 \) $S_{13}$ Trivial
13.1.1452927822421.1 x13 - 4x12 + 6x11 - x10 - 10x9 + 17x8 - 9x7 - 9x6 + 19x5 - 11x4 - 2x3 + 7x2 - 4x + 1 \( 83\cdot 17505154487 \) $S_{13}$ Trivial
13.1.3518110599125.1 x13 + x11 - 2x10 + x9 - x8 - 4x7 + 4x6 - 5x5 + x4 + 2x3 - 4x2 + 2x - 1 \( 5^{3}\cdot 5351\cdot 5259743 \) $S_{13}$ Trivial
13.1.4082190012125.1 x13 - x12 - 2x11 + x10 + 2x8 + 2x7 - x6 - 2x5 - x4 + 2x3 + 2x2 - 3x + 1 \( 5^{3}\cdot 73\cdot 447363289 \) $S_{13}$ Trivial
13.3.5570916369223.1 x13 - x12 + x11 - 4x10 + 5x9 - 5x8 + 6x7 - 2x6 - 5x5 + 5x4 - 7x3 + 5x2 - x + 1 \( -\,5570916369223 \) $S_{13}$ Trivial
13.3.5717814639679.1 x13 - 2x12 - 3x11 + 7x10 + 3x9 - 7x8 - 6x7 + 4x6 + 8x5 - 3x4 - 4x3 + 2x2 - 1 \( -\,89\cdot 107\cdot 283\cdot 2121631 \) $S_{13}$ Trivial
13.3.6855574490939.1 x13 - x12 + 2x11 + 2x10 - 3x9 + x8 - x7 - 8x6 - 7x5 - 6x4 - 6x3 - 6x2 - 4x - 1 \( -\,1798333\cdot 3812183 \) $S_{13}$ Trivial
13.3.7805208559959.1 x13 - 4x12 + 6x11 - 6x10 + 7x9 - 5x8 - x7 + x6 + 5x5 - 2x4 - 3x3 - x2 + 1 \( -\,3^{3}\cdot 31\cdot 71\cdot 821\cdot 159977 \) $S_{13}$ Trivial
13.3.9197165262683.1 x13 - 2x10 + 2x9 - x8 - 3x7 - 3x6 + 9x5 - 10x4 + 7x3 + 1 \( -\,82163\cdot 111938041 \) $S_{13}$ Trivial
13.1.10905397816000.1 x13 - 3x12 + 8x11 - 12x10 + 15x9 - 12x8 + 6x7 + x6 - 6x5 + 8x4 - 6x3 + 5x2 - x + 1 \( 2^{6}\cdot 5^{3}\cdot 26141\cdot 52147 \) $S_{13}$ Trivial
13.1.12359517706496.1 x13 - 3x12 + 5x11 - 4x10 + 5x8 - 7x7 + 6x6 - x5 - 3x4 + 4x3 - 2x2 + 1 \( 2^{8}\cdot 71\cdot 5197\cdot 130843 \) $S_{13}$ Trivial
13.3.14047799762079.1 x13 - 2x12 + 2x10 - 3x9 + 4x8 - 4x7 + 4x6 - 5x5 + 3x4 - 2x3 + 3x2 - x - 1 \( -\,3^{3}\cdot 16103\cdot 32310059 \) $S_{13}$ Trivial
13.3.18597951501632.1 x13 - 2x12 + x11 + x10 - 6x9 + 3x8 + 7x7 - 4x6 + 4x4 - 4x3 - 4x2 + x + 1 \( -\,2^{6}\cdot 67\cdot 43517\cdot 99667 \) $S_{13}$ Trivial
13.3.21982001088443.1 x13 - x12 + x11 + 3x10 - 8x9 + 10x8 - 6x7 - 5x6 + 15x5 - 19x4 + 15x3 - 9x2 + 3x - 1 \( -\,11^{2}\cdot 71\cdot 2558724373 \) $S_{13}$ Trivial
13.3.21990353102339.1 x13 - 2x12 + 4x11 - 5x10 + 3x9 + x8 - 4x7 + 9x6 - 7x5 + 2x4 - 4x2 + 4x - 1 \( -\,157\cdot 3169\cdot 44198783 \) $S_{13}$ Trivial
13.1.24777340928000.1 x13 - 2x12 + 4x11 - 5x10 + 2x9 + x8 - 6x7 + 8x6 - 3x5 + 4x4 + 4x3 - x2 + 4x - 1 \( 2^{14}\cdot 5^{3}\cdot 12098311 \) $S_{13}$ Trivial
13.5.28261626739249.1 x13 - 3x12 + 3x11 + 3x10 - 13x9 + 14x8 + 2x7 - 20x6 + 18x5 + x4 - 11x3 + 6x2 + x - 1 \( 2161\cdot 13078031809 \) $S_{13}$ Trivial
13.5.28318356165577.1 x13 - 3x11 - 4x10 + 2x9 + 9x8 + 6x7 - 4x6 - 10x5 - 3x4 + 4x3 + 4x2 - 1 \( 1721\cdot 16454593937 \) $S_{13}$ Trivial
13.1.29747917088000.1 x13 - 4x12 + 10x11 - 20x10 + 30x9 - 40x8 + 44x7 - 43x6 + 38x5 - 31x4 + 24x3 - 16x2 + 8x - 2 \( 2^{8}\cdot 5^{3}\cdot 139\cdot 6687931 \) $S_{13}$ Trivial

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