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Results (displaying all 12 matches)

Label Polynomial Discriminant Galois group Class group
14.2.7108512163632049.1 x14 - 2x13 - 5x12 + 15x11 + 5x10 - 44x9 + 17x8 + 66x7 - 51x6 - 56x5 + 54x4 + 33x3 - 14x2 + x + 5 \( 17^{6}\cdot 131^{4} \) 14T53 Trivial
14.2.22954916174422401.1 x14 - 3x13 + 8x12 - 11x11 + 12x10 + 2x9 - 34x8 + 84x7 - 134x6 + 155x5 - 132x4 + 82x3 - 35x2 + 9x - 1 \( 3^{14}\cdot 13^{2}\cdot 73^{4} \) 14T53 Trivial
14.6.247267157529083904.1 x14 - 5x12 + 9x10 - 10x8 + 11x6 - 9x4 + 5x2 - 1 \( 2^{14}\cdot 3^{12}\cdot 73^{4} \) 14T53 Trivial
14.6.247267157529083904.2 x14 + 4x12 + 9x10 + 5x8 - 7x6 - 21x4 + 11x2 - 1 \( 2^{14}\cdot 3^{12}\cdot 73^{4} \) 14T53 Trivial
14.6.976955753387739841.1 x14 - 4x13 + x12 + 8x11 - 11x9 - 2x8 + 13x7 - 2x6 - 11x5 + 8x3 + x2 - 4x + 1 \( 149^{4}\cdot 211^{4} \) 14T53 Trivial
14.6.3853801849728842001.1 x14 - x13 - 5x12 + 2x11 + 7x10 + 5x9 - 5x8 - 7x7 - 5x6 + 5x5 + 7x4 + 2x3 - 5x2 - x + 1 \( 3^{16}\cdot 547^{4} \) 14T53 Trivial
14.10.1000402691469045597184.1 x14 - 5x12 - 24x10 + 127x8 - 147x6 + 51x4 + 5x2 - 4 \( 2^{10}\cdot 149^{4}\cdot 211^{4} \) 14T53 Trivial
14.2.1000402691469045597184.1 x14 + 14x12 + 72x10 + 168x8 + 177x6 + 59x4 - 15x2 - 4 \( 2^{10}\cdot 149^{4}\cdot 211^{4} \) 14T53 $[2]$
14.10.1000402691469045597184.2 x14 - 4x13 - x12 + 4x11 + 94x10 - 214x9 - 117x8 + 592x7 - 97x6 - 564x5 + 171x4 + 204x3 - 71x2 - 22x + 8 \( 2^{10}\cdot 149^{4}\cdot 211^{4} \) 14T53 Trivial
14.2.1000402691469045597184.2 x14 + 8x12 + 10x10 - 37x8 - 88x6 - 56x4 - 13x2 - 1 \( 2^{10}\cdot 149^{4}\cdot 211^{4} \) 14T53 $[2]$
14.14.4001610765876182388736.1 x14 - 16x12 + 101x10 - 319x8 + 528x6 - 438x4 + 157x2 - 16 \( 2^{12}\cdot 149^{4}\cdot 211^{4} \) 14T53 Trivial (GRH)
14.14.63140689505957347344384.1 x14 - 23x12 + 162x10 - 452x8 + 535x6 - 276x4 + 53x2 - 1 \( 2^{14}\cdot 3^{16}\cdot 547^{4} \) 14T53 Trivial (GRH)


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