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Label Polynomial Discriminant Galois group Class group
16.4.60371254156640625.1 x16 - 4x14 - 4x13 + 10x12 + 9x11 - 14x10 - 18x9 + 7x8 + 23x7 + 8x6 - 6x5 - 9x4 - 9x3 + 4x + 1 \( 3^{4}\cdot 5^{8}\cdot 11^{4}\cdot 19^{4} \) $C_2\times D_4^2.C_2$ (as 16T602) Trivial
16.4.68076302383738701.1 x16 - x15 - 2x14 + 2x13 - 7x12 + 5x11 + 29x10 - 19x9 - 50x8 + 28x7 + 49x6 - 22x5 - 28x4 + 9x3 + 9x2 - x - 1 \( 3^{4}\cdot 13^{8}\cdot 101^{3} \) 16T1432 Trivial
16.4.80265618516015625.1 x16 - 5x15 + 12x14 - 21x13 + 29x12 - 31x11 + 28x10 - 17x9 - 11x8 + 54x7 - 90x6 + 92x5 - 63x4 + 26x3 - 3x2 - 3x + 1 \( 5^{8}\cdot 7^{4}\cdot 11^{2}\cdot 29^{4} \) 16T1116 Trivial
16.4.83879382375390625.1 x16 - 4x15 + 3x14 + 8x13 - 15x12 + 2x11 + 12x10 - 6x9 - 3x8 - 6x7 + 12x6 + 2x5 - 15x4 + 8x3 + 3x2 - 4x + 1 \( 5^{8}\cdot 19^{2}\cdot 29^{6} \) 16T876 Trivial
16.4.83903202023925689.1 x16 - x15 + 5x14 + 2x13 + 4x12 + 17x11 + 7x10 + 13x9 + 24x8 + 11x7 + 9x6 + 14x5 + 2x4 + 2x2 - 2x - 1 \( 89\cdot 421^{2}\cdot 72931^{2} \) 16T1948 Trivial
16.4.89145114978091264.1 x16 - 3x12 - 4x10 + 5x8 + 4x6 - 3x4 + 1 \( 2^{8}\cdot 233^{2}\cdot 283^{4} \) 16T1757 Trivial
16.4.95847903047265625.1 x16 - 3x15 + 3x14 - 5x12 + 7x11 - 3x10 - 4x9 + 7x8 - 4x7 - 3x6 + 7x5 - 5x4 + 3x2 - 3x + 1 \( 5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{2} \) 16T1340 Trivial
16.4.95951257600000000.1 x16 - 2x15 - 2x14 + 14x13 - 20x12 - 10x11 + 42x10 - 26x9 - 26x8 + 26x7 + 42x6 + 10x5 - 20x4 - 14x3 - 2x2 + 2x + 1 \( 2^{24}\cdot 5^{8}\cdot 11^{4} \) $D_4^2.C_2$ (as 16T390) Trivial
16.4.105970624024377025.1 x16 - x15 - 2x14 + 7x13 - 12x12 + 10x11 - x10 - 10x9 + 15x8 - 10x7 - x6 + 10x5 - 12x4 + 7x3 - 2x2 - x + 1 \( 5^{2}\cdot 89^{2}\cdot 731531^{2} \) 16T1945 Trivial
16.4.107613222848167936.1 x16 - 2x15 + 4x12 - 24x11 + 58x10 - 100x9 + 130x8 - 138x7 + 130x6 - 108x5 + 93x4 - 74x3 + 38x2 - 10x + 1 \( 2^{24}\cdot 283^{4} \) 16T1538 Trivial
16.4.107613222848167936.2 x16 - 2x15 + 2x14 - 10x13 + 9x12 + 16x11 - 24x10 + 2x9 + 6x8 + 12x7 + 6x6 - 36x5 + 4x4 + 20x3 - 6x2 - 2x + 1 \( 2^{24}\cdot 283^{4} \) 16T1538 Trivial
16.4.118893936100000000.1 x16 + 3x14 + x12 - 6x10 - 7x8 - 2x6 + 4x4 + 4x2 + 1 \( 2^{8}\cdot 5^{8}\cdot 29^{4}\cdot 41^{2} \) 16T1772 Trivial
16.4.122961997275390625.1 x16 - x15 - 5x14 + x13 + 11x12 - x11 - 15x10 + x9 + 15x8 + x7 - 15x6 - x5 + 11x4 + x3 - 5x2 - x + 1 \( 5^{10}\cdot 11^{2}\cdot 101^{4} \) 16T1174 Trivial
16.4.124470628948573741.1 x16 - x15 - 2x14 - 4x13 + 6x12 + 9x11 - 4x10 - 24x9 - 19x8 + 23x7 + 37x6 + 10x5 - 24x4 - 19x3 + 6x2 + 5x - 1 \( 41^{2}\cdot 83^{2}\cdot 1289^{2}\cdot 6469 \) 16T1948 Trivial
16.4.125585627375390625.1 x16 - 2x15 + 5x14 - 10x13 + 14x12 - 17x11 + 16x10 - 8x9 - 10x8 + 31x7 - 50x6 + 61x5 - 59x4 + 43x3 - 22x2 + 7x - 1 \( 3^{4}\cdot 5^{8}\cdot 251^{4} \) 16T1049 Trivial
16.4.135895449600000000.1 x16 - 2x14 - 11x12 + 4x10 + 6x8 - 34x6 - 36x4 - 8x2 + 1 \( 2^{32}\cdot 3^{4}\cdot 5^{8} \) $(C_2\times D_4):C_2^2$ (as 16T115) Trivial
16.4.146031297540653056.1 x16 - 6x14 + 21x12 - 40x10 + 50x8 - 30x6 + 8x4 - 4x2 + 1 \( 2^{32}\cdot 7^{6}\cdot 17^{2} \) 16T1177 Trivial
16.4.154803089776953125.1 x16 - x15 - x14 + 7x13 - 14x12 + 11x11 + 5x10 - 24x9 + 33x8 - 24x7 + 5x6 + 11x5 - 14x4 + 7x3 - x2 - x + 1 \( 5^{8}\cdot 29^{5}\cdot 139^{2} \) 16T1702 Trivial
16.4.156836523556077997.1 x16 - 5x15 + 11x14 - 17x13 + 19x12 - 11x11 - 6x10 + 24x9 - 31x8 + 24x7 - 6x6 - 11x5 + 19x4 - 17x3 + 11x2 - 5x + 1 \( 37\cdot 89^{2}\cdot 731531^{2} \) 16T1948 Trivial
16.4.163840814805078125.1 x16 - 2x15 + 3x14 + x13 - 9x12 + 12x11 - 5x10 - 22x9 + 32x8 + 10x7 - 27x6 - x5 + 6x4 + 5x3 - x2 - 3x + 1 \( 5^{8}\cdot 11^{2}\cdot 13^{2}\cdot 29^{5} \) 16T1779 Trivial
16.4.165855107822265625.1 x16 - 2x15 + x14 - 3x12 + 5x11 - 8x10 + 34x9 - 24x8 - 31x7 + 32x5 + 15x4 - 16x3 - 8x2 + 2x + 1 \( 5^{10}\cdot 19^{8} \) $C_2^4.D_4$ (as 16T339) Trivial
16.4.166581322179183497.1 x16 - 4x15 + 7x14 - 5x13 - 6x12 + 20x11 - 28x10 + 26x9 - 19x8 + 10x7 + 3x6 - 16x5 + 21x4 - 14x3 + 3x2 + x - 1 \( 1609\cdot 15809\cdot 31393\cdot 208609 \) $S_{16}$ (as 16T1954) Trivial
16.4.169818168100000000.1 x16 - 4x14 + 10x12 - 16x10 + 5x8 + 12x6 - 7x4 - x2 + 1 \( 2^{8}\cdot 5^{8}\cdot 7^{4}\cdot 29^{4} \) 16T1701 Trivial
16.4.173722240000000000.1 x16 - 2x15 - 3x14 + 4x13 + 6x12 + 8x11 - 18x10 - 28x9 + 30x8 + 30x7 - 17x6 - 22x5 - 2x4 + 14x3 + 3x2 - 4x - 1 \( 2^{16}\cdot 5^{10}\cdot 521^{2} \) 16T1559 Trivial
16.4.188981478400000000.1 x16 - 2x15 + 3x14 - 7x12 + 10x11 + 4x10 - 22x9 + 17x8 + 20x7 - 36x6 + 28x4 - 8x3 - 10x2 + 2x + 1 \( 2^{16}\cdot 5^{8}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2} \) 16T1772 Trivial
16.4.190802976100000000.1 x16 - 2x14 - 3x12 + 2x10 + 3x8 + 2x6 - 3x4 - 2x2 + 1 \( 2^{8}\cdot 5^{8}\cdot 11^{4}\cdot 19^{4} \) 16T919 Trivial
16.4.194392038625390625.1 x16 - 7x15 + 23x14 - 45x13 + 55x12 - 32x11 - 28x10 + 94x9 - 123x8 + 94x7 - 28x6 - 32x5 + 55x4 - 45x3 + 23x2 - 7x + 1 \( 5^{8}\cdot 29^{4}\cdot 41\cdot 131^{2} \) 16T1823 Trivial
16.4.202963613851988224.1 x16 - 5x14 + 7x12 + 2x10 - 11x8 + 8x6 - 6x4 + 4x2 + 1 \( 2^{8}\cdot 257^{2}\cdot 331^{4} \) 16T1852 Trivial
16.4.223291098234765625.1 x16 - 4x14 - 5x13 + 4x12 + 10x11 + x10 - 5x9 - 5x8 - 5x7 + x6 + 10x5 + 4x4 - 5x3 - 4x2 + 1 \( 5^{8}\cdot 29^{6}\cdot 31^{2} \) 16T876 Trivial
16.4.232292068597265625.1 x16 - x15 + 5x14 - x13 + x11 - 19x10 - 13x9 - 20x8 - 11x7 + 17x6 + 35x5 + 46x4 + 36x3 + 22x2 + 4x - 1 \( 3^{6}\cdot 5^{8}\cdot 13^{8} \) $D_8:C_2$ (as 16T44) Trivial
16.4.232322192503515625.1 x16 - 3x15 + 2x14 + 7x13 - 15x12 + 12x11 - 6x10 + 16x9 - 24x8 - 5x7 + 67x6 - 114x5 + 110x4 - 70x3 + 30x2 - 8x + 1 \( 5^{8}\cdot 7^{2}\cdot 29^{4}\cdot 131^{2} \) 16T1772 Trivial
16.4.233622440259572809.1 x16 - 2x15 + 2x14 - x13 - x12 + 2x11 - 2x10 + x9 - x8 + x7 - 2x6 + 2x5 - x4 - x3 + 2x2 - 2x + 1 \( 483345053^{2} \) 16T1945 Trivial
16.4.243112369495703125.1 x16 - x15 - 3x14 + x13 + x12 - 3x10 + 2x9 - 4x8 + 11x7 + 13x6 - 25x5 - 4x4 + 13x3 - 2x2 - 2x + 1 \( 5^{8}\cdot 11^{4}\cdot 349^{3} \) 16T1432 Trivial
16.4.258568322619479941.1 x16 - 6x15 + 13x14 - 7x13 - 20x12 + 42x11 - 31x10 + 4x9 + 8x8 - 7x7 + 5x6 - 3x5 + 2x4 - x3 - 2x2 + 2x + 1 \( 61\cdot 89^{2}\cdot 731531^{2} \) 16T1948 Trivial
16.4.265744202146140061.1 x16 - 2x15 + 3x14 - 5x13 - x12 + 19x11 - 33x10 + 35x9 - 38x8 + 3x7 + 75x6 - 99x5 + 38x4 + 12x3 - 10x2 + 1 \( 2011^{2}\cdot 2137^{2}\cdot 14389 \) 16T1948 Trivial
16.4.266190858984765625.1 x16 - 4x14 + 2x12 - 7x11 + x10 + 6x9 - 20x8 - 22x7 - 7x6 - 14x5 - 9x4 + 14x3 + 19x2 + 8x + 1 \( 5^{8}\cdot 31^{4}\cdot 859^{2} \) 16T1884 Trivial
16.4.266190858984765625.2 x16 - 5x15 + 10x14 - 13x13 + 19x12 - 24x11 + 16x10 - 3x9 - 11x8 + 27x7 - 28x6 + 15x5 - 3x4 - 8x3 + 11x2 - 4x - 1 \( 5^{8}\cdot 31^{4}\cdot 859^{2} \) 16T1648 Trivial
16.4.267302963318358016.1 x16 - 4x15 + 6x14 - 11x12 + 16x11 - 8x10 - 8x9 + 4x8 + 56x7 - 134x6 + 144x5 - 86x4 + 24x3 + 2x2 - 4x + 1 \( 2^{32}\cdot 7^{6}\cdot 23^{2} \) 16T1177 Trivial
16.4.269062009266015625.1 x16 - 5x15 + 12x14 - 15x13 + 7x12 + 7x11 - 9x10 - 7x9 + 17x8 + 7x7 - 21x6 - 2x5 + 10x4 + 3x3 - 6x2 - x + 1 \( 5^{8}\cdot 11^{4}\cdot 19^{6} \) $(C_2\times D_8):C_2$ (as 16T126) Trivial
16.4.270233625600000000.1 x16 - 8x15 + 34x14 - 98x13 + 206x12 - 326x11 + 380x10 - 294x9 + 53x8 + 254x7 - 476x6 + 506x5 - 367x4 + 184x3 - 61x2 + 12x - 1 \( 2^{16}\cdot 3^{4}\cdot 5^{8}\cdot 19^{4} \) $C_2^4.C_2^4$ (as 16T573) Trivial
16.4.278674794952523776.1 x16 - 6x12 - 5x8 + 10x4 + 1 \( 2^{24}\cdot 359^{4} \) 16T1535 Trivial
16.4.286267801600000000.1 x16 - 6x14 + 11x12 + 8x10 - 39x8 + 8x6 + 11x4 - 6x2 + 1 \( 2^{24}\cdot 5^{8}\cdot 11^{2}\cdot 19^{2} \) 16T1340 Trivial
16.4.286267801600000000.2 x16 + 6x14 + 11x12 - 8x10 - 39x8 - 8x6 + 11x4 + 6x2 + 1 \( 2^{24}\cdot 5^{8}\cdot 11^{2}\cdot 19^{2} \) 16T1340 Trivial
16.4.286362324116320597.1 x16 - 2x15 + 6x13 - 6x12 + 2x11 - 8x10 + 6x9 + x8 + 3x7 - 7x6 + 8x5 - 12x4 + 13x3 - 5x2 + 1 \( 5120891\cdot 55920409967 \) $S_{16}$ (as 16T1954) Trivial
16.4.289217423320703125.1 x16 - x15 - 5x14 + 12x13 - 2x12 - 22x11 + 28x10 - 4x9 - 13x8 - 4x7 + 28x6 - 22x5 - 2x4 + 12x3 - 5x2 - x + 1 \( 5^{8}\cdot 29^{4}\cdot 61\cdot 131^{2} \) 16T1823 Trivial
16.4.311502095702824709.1 x16 - x15 - 6x14 + 6x13 + 11x12 - 13x11 - 2x10 + 15x9 - 9x8 - 15x7 - 2x6 + 13x5 + 11x4 - 6x3 - 6x2 + x + 1 \( 23^{2}\cdot 563^{4}\cdot 5861 \) 16T1879 Trivial
16.4.318801818760934469.1 x16 - 3x15 + 5x14 - 4x13 - 4x12 + 11x11 - 6x10 - 14x9 + 41x8 - 49x7 + 36x6 - 12x5 - 7x4 + 12x3 - 10x2 + 5x - 1 \( 31\cdot 59\cdot 11549\cdot 15092552789 \) $S_{16}$ (as 16T1954) Trivial
16.4.337785448547265625.1 x16 - 2x15 + x14 + 4x13 - 5x12 + 3x11 + 2x10 + 7x9 + 13x8 - 5x7 + 14x6 + 26x5 + 7x4 - 11x3 - 16x2 - 7x - 1 \( 5^{8}\cdot 79^{4}\cdot 149^{2} \) 16T1648 Trivial
16.4.342273435258203125.1 x16 - x15 + x14 - 2x13 + x12 + 2x11 - 9x10 + 16x9 - 19x8 + 16x7 - 9x6 + 2x5 + x4 - 2x3 + x2 - x + 1 \( 5^{8}\cdot 61\cdot 119851^{2} \) 16T1905 Trivial
16.4.350749278894882816.1 x16 - 2x15 + x14 + 2x13 - 13x12 + 12x10 + 7x8 + 12x6 - 13x4 + 2x3 + x2 - 2x + 1 \( 2^{16}\cdot 3^{8}\cdot 13^{8} \) $C_4^2:C_2^2.C_2$ (as 16T382) Trivial
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