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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
18.0.1548507685660102467.1 x18 + 9x16 - 9x15 + 36x14 - 63x13 + 109x12 - 189x11 + 252x10 - 335x9 + 378x8 - 378x7 + 334x6 - 243x5 + 147x4 - 67x3 + 21x2 - 3x + 1 \( -\,3^{21}\cdot 23^{6} \) $C_3.S_3^2$ (as 18T57) Trivial
18.0.9283601972222640243.1 x18 - 9x16 - 11x15 + 21x14 + 69x13 + 54x12 - 75x11 - 219x10 - 205x9 - 6x8 + 231x7 + 342x6 + 303x5 + 201x4 + 103x3 + 39x2 + 9x + 1 \( -\,3^{21}\cdot 31^{6} \) $C_3.S_3^2$ (as 18T57) Trivial
18.0.120991234111258079232.2 x18 - x17 + 2x16 - 11x15 + 13x14 - 21x13 + 45x12 - 52x11 + 71x10 - 81x9 + 80x8 - 74x7 + 30x6 - 39x5 + 52x4 + 24x3 + 35x2 + 6x + 1 \( -\,2^{12}\cdot 3^{9}\cdot 107^{6} \) $C_3.S_3^2$ (as 18T57) Trivial
18.0.125429122538468299827.1 x18 + 3x16 - 9x15 + 21x14 - 39x13 + 66x12 - 84x11 + 105x10 - 112x9 + 105x8 - 84x7 + 66x6 - 39x5 + 21x4 - 9x3 + 3x2 + 1 \( -\,3^{25}\cdot 23^{6} \) $C_3.S_3^2$ (as 18T57) Trivial
18.6.22851875330951409078272.1 x18 - 3x17 - 7x16 + 14x15 + 32x14 - 5x13 - 108x12 - 105x11 + 225x10 + 403x9 - 218x8 - 704x7 + 2x6 + 681x5 + 232x4 - 265x3 - 136x2 + 24x + 9 \( 2^{12}\cdot 17^{9}\cdot 19^{6} \) $C_3.S_3^2$ (as 18T57) Trivial
18.6.22851875330951409078272.2 x18 - x17 - 8x16 + 10x15 + 13x14 - 5x13 - 24x12 - 29x11 + 62x10 + 13x9 - 18x8 - 39x7 + 18x6 + 11x5 - 13x4 + 14x3 - 8x2 + x + 1 \( 2^{12}\cdot 17^{9}\cdot 19^{6} \) $C_3.S_3^2$ (as 18T57) Trivial
18.18.4180042727650388025593873981.2 x18 - 4x17 - 25x16 + 112x15 + 187x14 - 1130x13 - 175x12 + 4953x11 - 2796x10 - 9129x9 + 9114x8 + 5568x7 - 8480x6 - 117x5 + 2264x4 - 220x3 - 125x2 + 1 \( 29^{9}\cdot 257^{6} \) $C_3.S_3^2$ (as 18T57) Trivial (GRH)
18.18.4180042727650388025593873981.3 x18 - 9x17 + 11x16 + 116x15 - 342x14 - 350x13 + 2199x12 - 714x11 - 5598x10 + 5077x9 + 5467x8 - 7742x7 - 998x6 + 3767x5 - 406x4 - 497x3 + 2x2 + 16x + 1 \( 29^{9}\cdot 257^{6} \) $C_3.S_3^2$ (as 18T57) Trivial (GRH)


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