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Results (displaying all 20 matches)

Label Polynomial Discriminant Galois group Class group
14.2.52058057626129.1 x14 - 2x13 + 3x12 - 4x11 + 4x10 - 4x9 + 4x8 - 5x7 + 4x6 - 4x5 + 4x4 - 4x3 + 3x2 - 2x + 1 \( 7215127^{2} \) 14T55 Trivial
14.2.54815765790289.1 x14 + x12 - 2x8 - x7 - 2x6 + x2 + 1 \( 7^{2}\cdot 1057681^{2} \) 14T55 Trivial
14.2.78352380449344.1 x14 - 2x12 + x10 + 2x8 - 3x6 + x4 - 1 \( 2^{6}\cdot 23^{2}\cdot 73^{2}\cdot 659^{2} \) 14T55 Trivial
14.2.94241555580481.1 x14 - x12 - 2x9 + 3x7 - 2x5 - x2 + 1 \( 43^{2}\cdot 401^{2}\cdot 563^{2} \) 14T55 Trivial
14.2.212764932023296.1 x14 - x10 + x8 + x2 - 1 \( 2^{10}\cdot 455827^{2} \) 14T55 Trivial
14.2.511335829405696.1 x14 + x12 - 3x10 - 2x8 + 5x6 + 2x4 - 2x2 - 1 \( 2^{16}\cdot 19^{2}\cdot 4649^{2} \) 14T55 Trivial
14.6.2969352016881121.1 x14 - 2x13 - 5x12 + 10x11 + 9x10 - 21x9 - 6x8 + 28x7 - 6x6 - 16x5 + 7x4 + 5x3 - x2 - 3x + 1 \( 23^{4}\cdot 239^{2}\cdot 431^{2} \) 14T55 Trivial
14.6.4853763848143681.1 x14 - 2x13 + 5x11 - 9x10 + 4x9 + 8x8 - 15x7 + 8x6 + 4x5 - 9x4 + 5x3 - 2x + 1 \( 1621^{2}\cdot 42979^{2} \) 14T55 Trivial
14.6.6141202371198976.1 x14 - 4x12 + 7x10 - 9x8 + 5x6 + 3x4 - x2 - 1 \( 2^{14}\cdot 71^{2}\cdot 8623^{2} \) 14T55 Trivial
14.6.6141202371198976.2 x14 - 2x12 + 2x10 - 3x8 + x6 - 3x4 + 6x2 - 1 \( 2^{14}\cdot 71^{2}\cdot 8623^{2} \) 14T55 Trivial
14.6.10242685405059409.1 x14 - x13 - x12 - x10 + x9 + x8 + x7 + x6 + x5 - x4 - x2 - x + 1 \( 101206153^{2} \) 14T55 Trivial
14.6.17478416123933521.1 x14 - x13 - 2x12 + 4x11 - 2x10 - 2x9 + 3x8 - 3x7 + 3x6 - 2x5 - 2x4 + 4x3 - 2x2 - x + 1 \( 59^{2}\cdot 2240779^{2} \) 14T55 Trivial
14.10.87169416344387584.1 x14 - 8x12 + 22x10 - 23x8 + 7x6 - 5x4 + 6x2 - 1 \( 2^{14}\cdot 107^{2}\cdot 21557^{2} \) 14T55 Trivial
14.10.91965715396182016.1 x14 - 7x12 + 20x10 - 35x8 + 44x6 - 33x4 + 10x2 - 1 \( 2^{14}\cdot 23^{2}\cdot 239^{2}\cdot 431^{2} \) 14T55 Trivial
14.10.185977177463008369.1 x14 - 7x13 + 15x12 - 42x10 + 54x9 - 10x8 - 34x7 + 33x6 - 9x5 - 6x4 + 12x3 - 2x2 - 5x - 1 \( 17^{4}\cdot 23^{2}\cdot 64879^{2} \) 14T55 Trivial
14.10.340421892311181409.1 x14 - 7x13 + 14x12 - 16x10 - 14x9 + 9x8 + 71x7 - 64x6 - 9x5 + 14x4 - 5x3 + 10x2 - 6x + 1 \( 17^{2}\cdot 23^{4}\cdot 64879^{2} \) 14T55 Trivial
14.2.6641971715742908416.1 x14 + 9x12 + 28x10 + 32x8 - 2x6 - 26x4 - 12x2 - 1 \( 2^{14}\cdot 71^{2}\cdot 283583^{2} \) 14T55 Trivial
14.2.6641971715742908416.2 x14 + 10x12 + 32x10 + 37x8 + x6 - 23x4 - 10x2 - 1 \( 2^{14}\cdot 71^{2}\cdot 283583^{2} \) 14T55 Trivial
14.14.50123987618145255424.1 x14 - 13x12 + 62x10 - 136x8 + 142x6 - 68x4 + 14x2 - 1 \( 2^{14}\cdot 313^{2}\cdot 176713^{2} \) 14T55 Trivial (GRH)
14.14.59253507863224160256.1 x14 - 14x12 + 74x10 - 186x8 + 234x6 - 145x4 + 41x2 - 4 \( 2^{12}\cdot 3^{6}\cdot 61^{2}\cdot 103^{2}\cdot 709^{2} \) 14T55 Trivial


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