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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
18.0.150478237623342333952.1 x18 - 6x16 + 15x14 - 20x12 + 15x10 - 2x9 - 6x8 + 6x7 + 6x6 - 6x5 - 10x4 - 2x3 + 5x2 + 4x + 1 \( -\,2^{18}\cdot 13^{6}\cdot 661\cdot 179917 \) 18T915 Trivial
18.8.3749517257135020216796875.1 x18 + x16 - 6x15 - 9x14 - 5x13 + 3x12 + 36x11 + 22x10 + 16x9 - 37x8 - 34x7 - 20x6 + 19x5 + 17x4 + 6x3 - 9x2 - x + 1 \( -\,5^{9}\cdot 71\cdot 151^{6}\cdot 2281 \) 18T915 Trivial (GRH)
18.10.70819274575724552000000000.1 x18 - 5x16 - 6x15 + 4x14 + 25x13 + 22x12 - 16x11 - 56x10 - 41x9 + 23x8 + 62x7 + 37x6 - 15x5 - 31x4 - 13x3 + 4x2 + 5x + 1 \( 2^{12}\cdot 5^{9}\cdot 19^{6}\cdot 9749\cdot 19301 \) 18T915 Trivial (GRH)
18.6.667409785188440552000000000.1 x18 + 6x16 - 5x15 + 15x14 - 25x13 + 24x12 - 50x11 + 31x10 - 43x9 + 30x8 - 4x7 + 11x6 + 16x5 - 8x4 + 6x3 - 6x2 - x + 1 \( 2^{12}\cdot 5^{9}\cdot 19^{6}\cdot 61\cdot 109\cdot 266701 \) 18T915 Trivial (GRH)
18.14.11042330802575963798845703125.1 x18 - 16x16 - 6x15 + 97x14 + 80x13 - 263x12 - 388x11 + 223x10 + 814x9 + 361x8 - 606x7 - 790x6 - 167x5 + 303x4 + 272x3 + 97x2 + 16x + 1 \( 5^{9}\cdot 31\cdot 199^{6}\cdot 2936639 \) 18T915 Trivial (GRH)
18.12.43816186443592796989748046875.1 x18 - 11x16 - 6x15 + 41x14 + 55x13 - 45x12 - 164x11 - 82x10 + 160x9 + 247x8 + 54x7 - 166x6 - 165x5 - 27x4 + 54x3 + 41x2 + 11x + 1 \( -\,5^{9}\cdot 151^{6}\cdot 1892530351 \) 18T915 Trivial (GRH)
18.16.255949408201806577166482421875.1 x18 - 23x16 - 6x15 + 212x14 + 115x13 - 982x12 - 848x11 + 2281x10 + 2971x9 - 1932x8 - 4792x7 - 1355x6 + 2356x5 + 2396x4 + 991x3 + 212x2 + 23x + 1 \( -\,5^{9}\cdot 31\cdot 139^{6}\cdot 8951\cdot 65479 \) 18T915 Trivial (GRH)
18.18.439088028182497569608000000000.1 x18 - 23x16 - 6x15 + 214x14 + 115x13 - 1016x12 - 856x11 + 2482x10 + 3073x9 - 2407x8 - 5194x7 - 1049x6 + 2835x5 + 2597x4 + 1025x3 + 214x2 + 23x + 1 \( 2^{12}\cdot 5^{9}\cdot 19^{6}\cdot 101\cdot 5279\cdot 2188099 \) 18T915 Trivial (GRH)


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