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Results: (displaying matches 1-20 of 1136)

Label Polynomial Discriminant Galois group Class group
14.0.9095120158391.1 x14 - 7x13 + 25x12 - 59x11 + 103x10 - 141x9 + 159x8 - 153x7 + 129x6 - 95x5 + 58x4 - 27x3 + 10x2 - 3x + 1 \( -\,71^{7} \) $D_{7}$ Trivial
14.0.9669040949311.1 x14 - x13 + 3x12 - 6x11 + 5x10 - 9x9 + 11x8 - 7x7 + 11x6 - 9x5 + 5x4 - 6x3 + 3x2 - x + 1 \( -\,19^{2}\cdot 79\cdot 18413^{2} \) 14T57 Trivial
14.0.9866941650479.1 x14 - 3x13 + 6x12 - 11x11 + 16x10 - 21x9 + 25x8 - 25x7 + 25x6 - 21x5 + 16x4 - 11x3 + 6x2 - 3x + 1 \( -\,167^{2}\cdot 191\cdot 1361^{2} \) 14T57 Trivial
14.0.11856232199187.1 x14 - x13 + x12 - x10 - x9 + x8 - x7 - x6 + 3x5 - 2x4 + x3 + x2 - x + 1 \( -\,3^{7}\cdot 5421231001 \) 14T61 Trivial
14.0.12985240103739.1 x14 - x13 + x12 - 4x11 + 4x10 - 2x9 + 5x8 - 6x7 + 2x6 - 2x5 + 5x4 - 2x3 - x + 1 \( -\,3^{7}\cdot 5937466897 \) 14T61 Trivial
14.0.13048447346663.1 x14 - x13 + 2x12 - 2x11 + 2x10 - 2x9 + x8 - x7 + x6 - 2x5 + 2x4 - 2x3 + 2x2 - x + 1 \( -\,23\cdot 37^{2}\cdot 20357^{2} \) 14T57 Trivial
14.0.16973485041483.1 x14 - 2x13 + 2x12 - 6x11 + 8x10 - 4x9 + 9x8 - 11x7 + 6x6 - 6x5 + 5x4 - 4x3 + 2x2 + 1 \( -\,3^{7}\cdot 37^{2}\cdot 2381^{2} \) $S_7\times C_2$ Trivial
14.0.22139206005899.1 x14 - 3x13 + 4x12 - 2x11 + x10 - 4x9 + 9x8 - 11x7 + 9x6 - 4x5 + x4 - 2x3 + 4x2 - 3x + 1 \( -\,59\cdot 593^{2}\cdot 1033^{2} \) 14T57 Trivial
14.0.28466647927227.1 x14 - x13 + 2x12 + 3x11 - x10 + 4x9 + 3x8 + 2x7 + 2x4 - 2x3 - x2 + 1 \( -\,3^{7}\cdot 114089^{2} \) $S_7\times C_2$ Trivial
14.0.51902598731283.1 x14 - 2x13 + 3x12 - 6x11 + 6x10 - 4x9 + 3x8 + x7 - x5 + 3x4 + 3x2 + x + 1 \( -\,3^{11}\cdot 17117^{2} \) $S_7\times C_2$ Trivial
14.2.52058057626129.1 x14 - 2x13 + 3x12 - 4x11 + 4x10 - 4x9 + 4x8 - 5x7 + 4x6 - 4x5 + 4x4 - 4x3 + 3x2 - 2x + 1 \( 7215127^{2} \) 14T55 Trivial
14.2.54815765790289.1 x14 + x12 - 2x8 - x7 - 2x6 + x2 + 1 \( 7^{2}\cdot 1057681^{2} \) 14T55 Trivial
14.2.55059380046329.1 x14 - 4x13 + 6x12 - x11 - 10x10 + 18x9 - 18x8 + 15x7 - 13x6 + 11x5 - 8x4 + 6x3 - 3x2 + 1 \( 277^{2}\cdot 569\cdot 1123^{2} \) 14T57 Trivial
14.0.56316949686099.1 x14 - 2x13 + 6x12 - 11x11 + 19x10 - 26x9 + 33x8 - 35x7 + 33x6 - 26x5 + 19x4 - 10x3 + 6x2 - x + 1 \( -\,3^{7}\cdot 2953^{3} \) $D_7 \wr C_2$ Trivial
14.2.62662828387597.1 x14 - x13 - 3x12 + 5x11 + 2x10 - 11x9 + 4x8 + 11x7 - 11x6 - 2x5 + 10x4 - 4x3 - 2x2 + 3x - 1 \( 167^{2}\cdot 1213\cdot 1361^{2} \) 14T57 Trivial
14.2.63097400703125.1 x14 - 3x13 + 2x12 + 4x11 - 8x10 + 2x9 + 8x8 - 10x7 + x6 + 7x5 - 6x4 + x3 + 2x2 - x + 1 \( 5^{7}\cdot 807646729 \) 14T61 Trivial
14.2.68537510017457.1 x14 - 4x13 + 10x12 - 15x11 + 11x10 + 6x9 - 26x8 + 35x7 - 26x6 + 6x5 + 11x4 - 15x3 + 10x2 - 4x + 1 \( 13^{4}\cdot 17\cdot 109^{4} \) 14T51 Trivial
14.0.74532401109963.1 x14 - x13 + 2x12 - x11 + 2x10 - 2x9 + 2x8 - 2x7 - 3x5 - x3 + 2x2 + x + 1 \( -\,3^{7}\cdot 184607^{2} \) $S_7\times C_2$ Trivial
14.0.76600746490099.1 x14 - 2x13 + 6x12 - 8x11 + 16x10 - 17x9 + 24x8 - 21x7 + 24x6 - 17x5 + 16x4 - 8x3 + 6x2 - 2x + 1 \( -\,13^{4}\cdot 19\cdot 109^{4} \) 14T51 Trivial
14.2.78352380449344.1 x14 - 2x12 + x10 + 2x8 - 3x6 + x4 - 1 \( 2^{6}\cdot 23^{2}\cdot 73^{2}\cdot 659^{2} \) 14T55 Trivial

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