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Results: (displaying matches 1-20 of 62)

Label Polynomial Discriminant Galois group Class group
17.1.133094720815439153.1 x17 - 2x16 + 7x15 - 12x14 + 22x13 - 34x12 + 46x11 - 61x10 + 65x9 - 65x8 + 53x7 - 36x6 + 20x5 - 5x4 - x3 + 4x2 - 2x + 1 \( 316968877\cdot 419898389 \) $S_{17}$ Trivial
17.1.231494845017984433.1 x17 - x16 + 2x13 + x12 - 5x11 + x10 + 3x9 + 3x8 - x7 - 7x6 + 2x5 + 6x4 + x3 - 3x2 - 3x - 1 \( 59^{2}\cdot 1217\cdot 1579\cdot 34607051 \) $S_{17}$ Trivial
17.3.1586349738982991023.1 x17 - x15 - x14 - 5x13 + 4x12 + x11 + 15x9 - 13x8 - 2x7 + 7x6 - 18x5 + 20x4 - 10x3 + 6x2 - 4x + 1 \( -\,2131\cdot 546781\cdot 1361451193 \) $S_{17}$ Trivial
17.3.1912319465404851491.1 x17 - 3x16 + 4x15 - 3x14 + x13 + 4x12 - 8x11 + 9x10 - 2x9 - 9x8 + 12x7 - x6 - 4x5 + 2x4 - 3x3 + x2 - x - 1 \( -\,227\cdot 2411\cdot 3533\cdot 988994191 \) $S_{17}$ Trivial
17.3.2151149236330118383.1 x17 - 2x15 - 4x14 + 4x13 + 7x12 - 3x11 - 3x10 - 3x9 + 5x8 - 5x7 - 4x6 + 14x5 - 2x4 - 7x3 + 2x + 1 \( -\,37^{5}\cdot 433\cdot 5531\cdot 12953 \) $S_{17}$ Trivial
17.3.2311521177047925203.1 x17 - x16 + x15 - 3x14 + 4x13 - 4x12 - x11 + 4x10 - 5x9 + 17x8 - 42x7 + 59x6 - 45x5 + 9x4 + 15x3 - 15x2 + 6x - 1 \( -\,16843\cdot 137239279050521 \) $S_{17}$ Trivial
17.3.2757250718309135423.1 x17 - 3x16 + 7x15 - 10x14 + 12x13 - 11x12 + 10x11 - 7x10 + 2x9 + 5x8 - 13x7 + 11x6 - 5x5 - 6x4 + 11x3 - 9x2 + 5x - 1 \( -\,75653\cdot 3119681\cdot 11682611 \) $S_{17}$ Trivial
17.5.3621113810274499901.1 x17 - 5x15 - x14 + 5x13 + 6x12 + 9x11 - 16x10 - 21x9 + 19x8 + 13x7 - 5x6 - 4x5 - 5x4 + 3x3 - x + 1 \( 55954279\cdot 64715583419 \) $S_{17}$ Trivial
17.3.3779800000525860359.1 x17 - 4x16 + 12x15 - 26x14 + 48x13 - 75x12 + 105x11 - 126x10 + 136x9 - 129x8 + 107x7 - 80x6 + 47x5 - 23x4 + 11x3 - 2x2 - 2x + 1 \( -\,137\cdot 1926157\cdot 14323744651 \) $S_{17}$ Trivial
17.5.4755937542258621701.1 x17 - 6x15 - 2x14 + 17x13 + 13x12 - 27x11 - 34x10 + 20x9 + 47x8 - 38x6 - 13x5 + 17x4 + 12x3 - 2x2 - 3x - 1 \( 97\cdot 2927\cdot 2315407\cdot 7234597 \) $S_{17}$ Trivial
17.5.14517428819890014793.1 x17 - 2x16 + 4x15 - 2x14 + 6x12 - 5x11 + x10 + 3x9 - 6x8 - 7x7 - x6 - 5x5 - 9x4 - 3x3 - 2x2 - 3x - 1 \( 10170343\cdot 1427427651151 \) $S_{17}$ Trivial
17.5.89056089711131593861.1 x17 - 2x16 - 5x15 + 8x14 + 14x13 - 6x12 - 34x11 - 12x10 + 42x9 + 47x8 - 33x7 - 52x6 + 13x5 + 21x4 + 3x3 - 5x2 - 2x + 1 \( 946391\cdot 3063653\cdot 30715207 \) $S_{17}$ Trivial
17.1.142063412679164600644.1 x17 - 2x16 - x15 + 5x14 - x13 - 8x12 + 6x11 + 8x10 - 11x9 - 3x8 + 13x7 - 3x6 - 8x5 + 5x4 + 3x3 - 3x2 + 1 \( 2^{2}\cdot 1697\cdot 20928611178427313 \) $S_{17}$ Trivial
17.1.463009808974713123841.1 x17 - x16 - x15 - x14 + x12 + 13x11 + 7x10 + 11x9 + 4x8 + x7 + 7x6 + 23x5 + 31x4 + 42x3 + 24x2 + 6x - 1 \( 383^{8} \) $D_{17}$ Trivial
17.1.1030463898345852385032.1 x17 - 2x16 - x15 + 5x14 - x13 - 8x12 + 6x11 + 8x10 - 11x9 - 3x8 + 12x7 - 3x6 - 7x5 + 5x4 + 3x3 - 3x2 + 1 \( 2^{3}\cdot 3^{2}\cdot 373\cdot 38369969405192597 \) $S_{17}$ Trivial
17.3.2074524434943857177144.1 x17 - 2x16 + x15 + 2x14 - 3x13 + 3x11 - 3x10 - x9 + 6x8 - 5x7 - 4x6 + 8x5 - 3x4 - 4x3 + 3x2 - 1 \( -\,2^{3}\cdot 17\cdot 20759\cdot 9318913\cdot 78851137 \) $S_{17}$ Trivial
17.3.8553979677514650635476.1 x17 - 3x16 + 4x15 + x14 - 13x13 + 26x12 - 25x11 + 2x10 + 35x9 - 62x8 + 59x7 - 25x6 - 13x5 + 33x4 - 30x3 + 17x2 - 6x + 1 \( -\,2^{2}\cdot 11\cdot 53\cdot 34759\cdot 105529138935877 \) $S_{17}$ Trivial
17.1.124890250818288107857441.1 x17 - 4x16 + 6x15 - 5x14 + 7x13 - 17x12 + 24x11 - 16x10 + 42x9 - 83x8 + 82x7 - 72x6 + 37x5 + 24x4 - 10x3 + 14x2 - 2x + 1 \( 11^{8}\cdot 17^{12} \) $C_{17}:C_{4}$ Trivial
17.1.239072435685151324847153.1 x17 - 34x12 + 17x11 + 85x10 + 102x9 - 170x8 - 272x7 - 68x6 + 255x5 + 255x4 + 68x3 + 17x2 + 17x + 4 \( 17^{19} \) $F_{17}$ Trivial
17.1.604462909807314587353088.1 x17 - 2x16 + 8x13 + 16x12 - 16x11 + 64x9 - 32x8 - 80x7 + 32x6 + 40x5 + 80x4 + 16x3 - 128x2 - 2x + 68 \( 2^{79} \) $F_{17}$ Trivial

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