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Results: (displaying matches 1-20 of 61652)

Label Polynomial Discriminant Galois group Class group
16.0.2779733938787757.1 x16 - 5x15 + 14x14 - 26x13 + 39x12 - 53x11 + 74x10 - 107x9 + 153x8 - 196x7 + 213x6 - 191x5 + 138x4 - 77x3 + 31x2 - 8x + 1 \( 3^{8}\cdot 7^{2}\cdot 37^{2}\cdot 151^{2}\cdot 277 \) 16T1905 Trivial
16.0.3006123291015625.1 x16 - x15 - 3x14 + 6x13 + x12 - 10x11 + 8x10 + 5x9 - 13x8 + 5x7 + 8x6 - 10x5 + x4 + 6x3 - 3x2 - x + 1 \( 5^{12}\cdot 11^{4}\cdot 29^{2} \) 16T547 Trivial
16.0.3091162921500672.1 x16 - 2x15 + 8x14 - 18x13 + 35x12 - 62x11 + 92x10 - 118x9 + 138x8 - 142x7 + 127x6 - 104x5 + 77x4 - 46x3 + 20x2 - 6x + 1 \( 2^{16}\cdot 3^{8}\cdot 193^{3} \) 16T1202 Trivial
16.0.3100665090835456.1 x16 + 2x14 + 4x12 + 6x10 + 8x8 + 7x6 + 5x4 + 3x2 + 1 \( 2^{10}\cdot 1740113^{2} \) 16T1945 Trivial
16.0.3143861048180736.1 x16 - 4x15 + 8x14 - 8x13 - 4x12 + 30x11 - 56x10 + 58x9 - 18x8 - 48x7 + 98x6 - 102x5 + 73x4 - 40x3 + 18x2 - 6x + 1 \( 2^{24}\cdot 3^{8}\cdot 13^{4} \) 16T149 Trivial
16.0.3207314697265625.1 x16 - 2x15 - x14 + x13 + 11x12 - 11x11 - 10x10 + 5x9 + 22x8 - 10x7 - 15x6 + 3x5 + 11x4 - 2x3 - 4x2 + x + 1 \( 5^{12}\cdot 181^{2}\cdot 401 \) 16T1771 Trivial
16.0.3243658447265625.1 x16 - 5x15 + 14x14 - 30x13 + 57x12 - 100x11 + 157x10 - 215x9 + 250x8 - 240x7 + 183x6 - 110x5 + 57x4 - 30x3 + 16x2 - 5x + 1 \( 3^{12}\cdot 5^{14} \) $C_8: C_2$ Trivial
16.0.3345005787800625.1 x16 - 5x15 + 12x14 - 19x13 + 21x12 - 16x11 + 6x10 + 12x9 - 28x8 + 21x7 + x6 - 20x5 + 28x4 - 20x3 + 10x2 - 4x + 1 \( 3^{8}\cdot 5^{4}\cdot 13^{8} \) 16T47 Trivial
16.0.3347302586328125.1 x16 - 6x15 + 20x14 - 45x13 + 76x12 - 98x11 + 94x10 - 58x9 + 8x8 + 28x7 - 37x6 + 28x5 - 13x4 + 6x2 - 4x + 1 \( 5^{8}\cdot 61^{2}\cdot 101\cdot 151^{2} \) 16T1905 Trivial
16.0.3571460308796416.1 x16 - 2x14 + 4x10 - 4x8 + x6 + 3x4 - 3x2 + 1 \( 2^{10}\cdot 1867553^{2} \) 16T1945 Trivial
16.0.3692461181640625.1 x16 - 2x15 - 2x14 + 9x13 - 3x12 - 15x11 + 17x10 + 8x9 - 25x8 + 8x7 + 17x6 - 15x5 - 3x4 + 9x3 - 2x2 - 2x + 1 \( 5^{12}\cdot 3889^{2} \) 16T1497 Trivial
16.0.3750900906670801.1 x16 - 4x15 + 10x14 - 18x13 + 29x12 - 43x11 + 58x10 - 73x9 + 85x8 - 88x7 + 81x6 - 65x5 + 45x4 - 26x3 + 12x2 - 4x + 1 \( 13^{2}\cdot 43^{2}\cdot 331^{4} \) 16T1664 Trivial
16.0.3914091521024229.1 x16 - 2x15 + x14 - x13 + 4x12 - 4x11 + 5x10 - 8x9 + 6x8 - 5x7 + 8x6 - 7x5 + 7x4 - 7x3 + 4x2 - 2x + 1 \( 3^{8}\cdot 61\cdot 98893^{2} \) 16T1905 Trivial
16.0.4045039500390625.1 x16 - 5x15 + 10x14 - 6x13 - 12x12 + 27x11 - 16x10 - 14x9 + 32x8 - 27x7 + 16x6 - 11x5 + 8x4 - 3x3 + 1 \( 5^{8}\cdot 11^{4}\cdot 29^{4} \) 16T388 Trivial
16.0.4096000000000000.1 x16 - 6x15 + 18x14 - 36x13 + 47x12 - 30x11 - 18x10 + 72x9 - 95x8 + 72x7 - 18x6 - 30x5 + 47x4 - 36x3 + 18x2 - 6x + 1 \( 2^{24}\cdot 5^{12} \) $C_2^2 : C_4$ Trivial
16.0.4186494384765625.1 x16 - 4x15 + 8x14 - 6x13 - 5x12 + 15x11 - 6x10 - 17x9 + 26x8 - 7x7 - 16x6 + 17x5 - 2x4 - 9x3 + 9x2 - 4x + 1 \( 5^{12}\cdot 41^{2}\cdot 101^{2} \) 16T1720 Trivial
16.0.4393378612917909.1 x16 - 3x15 + 5x14 - 6x13 + 6x12 - 6x11 + 4x10 - x8 + 4x6 + 6x5 + 6x4 + 6x3 + 5x2 + 3x + 1 \( 3^{8}\cdot 61\cdot 104773^{2} \) 16T1905 Trivial
16.0.4540317078515625.1 x16 - 3x15 + 4x14 - 3x13 + 11x10 - 24x9 + 29x8 - 24x7 + 11x6 - 3x3 + 4x2 - 3x + 1 \( 3^{8}\cdot 5^{8}\cdot 11^{6} \) 16T141 Trivial
16.0.4559007230078125.1 x16 - 2x15 + 3x14 - 6x13 + 11x12 - 19x11 + 26x10 - 30x9 + 33x8 - 30x7 + 26x6 - 19x5 + 11x4 - 6x3 + 3x2 - 2x + 1 \( 5^{8}\cdot 11^{4}\cdot 59^{2}\cdot 229 \) 16T1823 Trivial
16.0.4897760256000000.1 x16 - 4x15 + 8x14 - 6x13 - 10x12 + 28x11 - 8x10 - 90x9 + 253x8 - 396x7 + 433x6 - 352x5 + 218x4 - 102x3 + 35x2 - 8x + 1 \( 2^{16}\cdot 3^{14}\cdot 5^{6} \) 16T114 Trivial

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