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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
18.0.37899163430367076999.1 x18 - 3x17 + 8x16 - 18x15 + 37x14 - 68x13 + 111x12 - 157x11 + 193x10 - 207x9 + 193x8 - 157x7 + 111x6 - 68x5 + 37x4 - 18x3 + 8x2 - 3x + 1 \( -\,7^{12}\cdot 1399^{3} \) 18T207 Trivial
18.0.47749614881683459031.1 x18 - 3x17 + 6x16 - 9x15 + 10x14 - 10x13 + 12x12 - 16x11 + 32x10 + 2x9 + 11x8 + 2x7 + 19x6 - 3x5 - 11x4 - 7x3 + 3x2 + 3x + 1 \( -\,7^{12}\cdot 1511^{3} \) 18T207 Trivial
18.6.616211844050013988113.1 x18 - 3x17 - 3x16 + 12x15 + 12x14 - 39x13 - 19x12 + 78x11 + 6x10 - 84x9 - 21x8 + 84x7 + 65x6 - 105x5 - 54x4 + 75x3 + 15x2 - 18x - 1 \( 3^{24}\cdot 1297^{3} \) 18T207 Trivial
18.6.870649295878306573433.1 x18 - 5x17 + 10x16 - 4x15 - 35x14 + 126x13 - 281x12 + 491x11 - 689x10 + 773x9 - 689x8 + 491x7 - 281x6 + 126x5 - 35x4 - 4x3 + 10x2 - 5x + 1 \( 7^{12}\cdot 41^{3}\cdot 97^{3} \) 18T207 Trivial
18.12.161453767328118264113639.1 x18 - 9x17 + 24x16 + 9x15 - 141x14 + 170x13 + 115x12 - 266x11 + 55x10 - 308x9 + 704x8 + 18x7 - 980x6 + 858x5 - 242x4 - 41x3 + 44x2 - 11x + 1 \( -\,7^{12}\cdot 22679^{3} \) 18T207 Trivial
18.12.221475861541215709988399.1 x18 - 6x17 + 4x16 + 33x15 - 60x14 + 17x13 + 44x12 - 240x11 + 290x10 + 272x9 - 41x8 - 992x7 - 415x6 + 2830x5 - 1547x4 - 1504x3 + 2040x2 - 850x + 125 \( -\,7^{12}\cdot 113^{3}\cdot 223^{3} \) 18T207 Trivial
18.18.21106009685505727678262841.1 x18 - 3x17 - 24x16 + 96x15 + 111x14 - 861x13 + 529x12 + 2301x11 - 3117x10 - 1647x9 + 4395x8 - 453x7 - 2235x6 + 573x5 + 474x4 - 100x3 - 45x2 + 3x + 1 \( 3^{24}\cdot 73^{3}\cdot 577^{3} \) 18T207 Trivial (GRH)
18.18.36408330967717863107914121.1 x18 - 2x17 - 28x16 + 40x15 + 301x14 - 276x13 - 1523x12 + 872x11 + 3837x10 - 1473x9 - 4871x8 + 1489x7 + 3019x6 - 864x5 - 779x4 + 222x3 + 44x2 - 7x - 1 \( 7^{12}\cdot 138041^{3} \) 18T207 Trivial (GRH)


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