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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
18.6.17569809958140037709293.1 x18 - 3x17 - 5x16 + 25x15 - x14 - 93x13 + 70x12 + 215x11 - 297x10 - 261x9 + 570x8 + 166x7 - 651x6 - 58x5 + 617x4 - 311x3 + 5x2 + 11x - 1 \( 7^{12}\cdot 13^{5}\cdot 43^{4} \) 18T188 Trivial
18.12.58115525246155509346123.1 x18 - 6x17 + 4x16 + 30x15 - 31x14 - 62x13 + 33x12 + 91x11 + 4x10 - 85x9 + 4x8 + 91x7 + 33x6 - 62x5 - 31x4 + 30x3 + 4x2 - 6x + 1 \( -\,7^{12}\cdot 13^{4}\cdot 43^{5} \) 18T188 Trivial (GRH)
18.12.755501828200021621499599.1 x18 - 6x16 - 2x15 - 5x14 + 50x13 + 48x12 - 137x11 - 110x10 - 151x9 + 393x8 + 748x7 - 519x6 - 661x5 + 256x4 + 180x3 - 38x2 - 7x + 1 \( -\,7^{12}\cdot 13^{5}\cdot 43^{5} \) 18T188 Trivial (GRH)
18.6.1910960900904599329104193.1 x18 - 8x17 + 21x16 - 7x15 - 73x14 + 123x13 + 80x12 - 446x11 + 358x10 + 355x9 - 596x8 - 327x7 + 1061x6 - 500x5 - 242x4 + 217x3 - 15x - 1 \( 7^{12}\cdot 673^{5} \) 18T188 Trivial
18.0.127679808965803654033432231.1 x18 - 3x17 + 11x16 - 25x15 + 71x14 - 115x13 + 134x12 - 172x11 + 573x10 - 1015x9 + 1231x8 - 1377x7 + 4699x6 - 5818x5 + 4154x4 - 3510x3 + 10797x2 - 10126x + 2801 \( -\,7^{12}\cdot 13^{7}\cdot 43^{5} \) 18T188 $[6]$
18.0.1396922880341839978152758551.1 x18 - 6x17 + 33x16 - 132x15 + 398x14 - 878x13 + 1591x12 - 2720x11 + 5300x10 - 9712x9 + 11716x8 - 6585x7 + 6401x6 - 25670x5 + 32584x4 + 6876x3 - 33816x2 - 3691x + 27971 \( -\,7^{12}\cdot 13^{5}\cdot 43^{7} \) 18T188 $[2, 2, 6]$
18.18.4605820261666662045264904192.1 x18 - 22x16 + 202x14 - 1007x12 + 2961x10 - 5198x8 + 5207x6 - 2600x4 + 442x2 - 13 \( 2^{18}\cdot 7^{12}\cdot 13^{5}\cdot 43^{4} \) 18T188 Trivial (GRH)
18.18.15234636250128189842030067712.1 x18 - 29x16 + 347x14 - 2248x12 + 8647x10 - 20239x8 + 28114x6 - 21113x4 + 6536x2 - 43 \( 2^{18}\cdot 7^{12}\cdot 13^{4}\cdot 43^{5} \) 18T188 Trivial (GRH)


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