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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
18.0.5585027926119911424.1 x18 - 2x17 + 5x16 - 7x15 + 10x14 - 13x13 + 17x12 - 24x11 + 28x10 - 28x9 + 25x8 - 24x7 + 28x6 - 31x5 + 29x4 - 22x3 + 13x2 - 5x + 1 \( -\,2^{12}\cdot 3^{12}\cdot 37^{6} \) 18T189 Trivial
18.0.66353784222015291392.1 x18 - 4x16 - 6x15 + 6x14 + 22x13 + 13x12 - 32x11 - 67x10 - 34x9 + 55x8 + 120x7 + 109x6 + 56x5 + 18x4 + 8x3 + 7x2 + 4x + 1 \( -\,2^{18}\cdot 17^{3}\cdot 61^{6} \) 18T189 Trivial
18.6.25939593315208000000000.1 x18 - 5x17 + 10x16 - 25x15 + 59x14 - 83x13 + 129x12 - 182x11 + 185x10 - 203x9 + 194x8 - 130x7 + 94x6 - 67x5 + 26x4 - 10x3 + 11x2 - 6x + 1 \( 2^{12}\cdot 5^{9}\cdot 19^{6}\cdot 41^{3} \) 18T189 Trivial
18.6.25939593315208000000000.2 x18 - 6x17 + 10x16 + 6x14 - 49x13 + 23x12 + 52x11 + 58x10 - 148x9 - 83x8 + 134x7 + 123x6 - 114x5 - 76x4 + 89x3 - 19x2 - 3x + 1 \( 2^{12}\cdot 5^{9}\cdot 19^{6}\cdot 41^{3} \) 18T189 Trivial
18.12.3007309704449688000000000.1 x18 - 6x17 + 9x16 + 14x15 - 93x14 + 246x13 - 139x12 - 840x11 + 1350x10 + 902x9 - 2604x8 - 276x7 + 2352x6 - 72x5 - 1104x4 + 32x3 + 240x2 - 16 \( -\,2^{12}\cdot 3^{24}\cdot 5^{9}\cdot 11^{3} \) 18T189 Trivial (GRH)
18.12.699600837060733684914085599.1 x18 - 3x17 - 9x16 + 41x15 - 5x14 - 132x13 + 128x12 - 17x11 - 15x10 + 232x9 - 405x8 + 141x7 + 326x6 - 240x5 - 135x4 + 67x3 + 29x2 - 2x - 1 \( -\,3^{3}\cdot 13^{9}\cdot 367^{6} \) 18T189 Trivial (GRH)
18.18.9458428704315751432000000000.1 x18 - 4x17 - 25x16 + 107x15 + 153x14 - 947x13 + 127x12 + 3051x11 - 2223x10 - 3936x9 + 4568x8 + 1433x7 - 3315x6 + 597x5 + 671x4 - 268x3 - x2 + 11x - 1 \( 2^{12}\cdot 5^{9}\cdot 89^{3}\cdot 109^{6} \) 18T189 Trivial (GRH)
18.18.3337341698099640740501423828125.1 x18 - 3x17 - 41x16 + 74x15 + 587x14 - 461x13 - 3747x12 + 61x11 + 11141x10 + 6321x9 - 12999x8 - 14579x7 + 623x6 + 7069x5 + 3337x4 + 344x3 - 91x2 - 13x + 1 \( 5^{9}\cdot 19^{6}\cdot 61^{6}\cdot 89^{3} \) 18T189 Trivial (GRH)


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