Learn more about

Further refine search

Results (displaying all 20 matches)

Label Polynomial Discriminant Galois group Class group
12.2.562523516779.1 x12 - 2x11 - x10 + 7x9 - 5x8 - 6x7 + 11x6 - 3x5 - 5x4 + 6x3 - 2x2 - x + 1 \( -\,7^{8}\cdot 97579 \) 12T292 Trivial
12.2.713607421387.1 x12 - 4x10 - 2x9 + 6x8 + 10x7 - x6 - 13x5 - 9x4 + 4x3 + 9x2 + 5x + 1 \( -\,7^{8}\cdot 123787 \) 12T292 Trivial
12.0.795778894841.1 x12 - 4x11 + 10x10 - 17x9 + 25x8 - 29x7 + 29x6 - 22x5 + 16x4 - 7x3 + 5x2 - x + 1 \( 7^{8}\cdot 138041 \) 12T292 Trivial
12.4.913034947181.1 x12 - 2x11 - 2x10 + 4x9 + 5x8 - 7x7 - 7x6 + 7x5 + 6x4 - 4x3 - 4x2 + x + 1 \( 7^{8}\cdot 251\cdot 631 \) 12T292 Trivial
12.0.976885883057.1 x12 - 4x11 + 12x10 - 23x9 + 35x8 - 38x7 + 34x6 - 20x5 + 10x4 - 2x3 + x2 + 1 \( 7^{8}\cdot 169457 \) 12T292 Trivial
12.4.2014204174997.1 x12 - 2x11 - 2x10 + 6x9 + x8 - 8x7 - 2x6 + 10x5 + 2x4 - 8x3 - x2 + 3x + 1 \( 7^{8}\cdot 349397 \) 12T292 Trivial
12.6.5029275805211.1 x12 - x11 - 4x10 + 7x9 + 2x8 - 14x7 + 7x6 + 8x5 - 10x4 - x3 + 5x2 - 1 \( -\,7^{8}\cdot 872411 \) 12T292 Trivial
12.6.5124671732159.1 x12 - x11 - x10 - x9 - 6x8 + 11x7 + 10x6 - 10x5 - 5x4 - x3 + 3x2 + 2x - 1 \( -\,7^{8}\cdot 888959 \) 12T292 Trivial
12.6.20407781781667.1 x12 - 2x11 + 3x10 + 3x9 - 11x8 + 13x7 - 20x5 + 18x4 - x3 - 10x2 + 6x - 1 \( -\,7^{8}\cdot 3540067 \) 12T292 Trivial
12.6.24613849768879.1 x12 - 4x10 - x9 + 6x8 + 5x7 - 9x6 - 10x5 + 11x4 + 6x3 - 6x2 - x + 1 \( -\,7^{8}\cdot 4269679 \) 12T292 Trivial
12.8.28866785588221.1 x12 - 6x10 - 4x9 + 13x8 + 16x7 - 9x6 - 21x5 - 4x4 + 11x3 + 5x2 - 2x - 1 \( 7^{8}\cdot 5007421 \) 12T292 Trivial
12.8.60491838216509.1 x12 - 3x11 - 3x10 + 17x9 - 5x8 - 32x7 + 18x6 + 34x5 - 19x4 - 19x3 + 8x2 + 3x - 1 \( 7^{8}\cdot 10493309 \) 12T292 Trivial
12.10.174247057020339.1 x12 - 9x10 - 3x9 + 24x8 + 18x7 - 15x6 - 30x5 - 6x4 + 17x3 + 6x2 - 3x - 1 \( -\,3^{16}\cdot 199\cdot 20341 \) 12T292 Trivial
12.10.212024878470419.1 x12 - x11 - 10x10 + 9x9 + 32x8 - 32x7 - 40x6 + 47x5 + 18x4 - 27x3 + 5x - 1 \( -\,7^{8}\cdot 36779219 \) 12T292 Trivial
12.8.653858039489337.1 x12 - 3x11 - 3x10 + 16x9 - 3x8 - 33x7 + 15x6 + 36x5 - 15x4 - 18x3 + 6x2 + 3x - 1 \( 3^{16}\cdot 15189497 \) 12T292 Trivial
12.12.1816178885163041.1 x12 - 3x11 - 8x10 + 25x9 + 22x8 - 67x7 - 30x6 + 73x5 + 22x4 - 31x3 - 8x2 + 4x + 1 \( 7^{8}\cdot 71\cdot 281\cdot 15791 \) 12T292 Trivial
12.12.3545107547544689.1 x12 - 3x11 - 8x10 + 25x9 + 25x8 - 73x7 - 42x6 + 89x5 + 40x4 - 39x3 - 17x2 + 2x + 1 \( 7^{8}\cdot 1021\cdot 602309 \) 12T292 Trivial
12.4.7487483621558969.1 x12 - 4x11 + 4x10 + 6x9 - 12x8 - 3x7 + 20x6 - 63x4 + 58x3 + 19x2 - 46x + 13 \( 7^{8}\cdot 97^{2}\cdot 138041 \) 12T292 Trivial
12.4.9662387913899289.1 x12 - 6x11 + 15x10 - 7x9 - 45x8 + 105x7 - 76x6 - 39x5 + 72x4 + 3x3 - 30x2 + 8 \( 3^{16}\cdot 73^{3}\cdot 577 \) 12T292 Trivial
12.8.256084772928094208.1 x12 - 2x11 - 12x10 + 18x9 + 71x8 - 94x7 - 206x6 + 356x5 + 130x4 - 624x3 + 362x2 + 238x - 251 \( 2^{18}\cdot 7^{8}\cdot 169457 \) 12T292 Trivial


Download all search results for