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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 \( 5^{12}\cdot 11^{4}\cdot 29^{2} \) $C_2^4.C_2^3.C_2$ (as 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 \( 2^{24}\cdot 3^{8}\cdot 13^{4} \) $C_2\wr C_2^2$ (as 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 \( 3^{12}\cdot 5^{14} \) $C_8: C_2$ (as 16T6) Trivial
16.0.3345005787800625.1 x16 - 5x15 + 12x14 - 19x13 + 21x12 - 16x11 + 6x10 + 12x9 - 28x8 + 21x7 + x6 - 20x5 + 28x4 - 20x3 + 10x2 - 4x + 1 \( 3^{8}\cdot 5^{4}\cdot 13^{8} \) $D_8:C_2$ (as 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 \( 5^{8}\cdot 11^{4}\cdot 29^{4} \) $D_4^2.C_2$ (as 16T388) Trivial
16.0.4096000000000000.1 x16 - 6x15 + 18x14 - 36x13 + 47x12 - 30x11 - 18x10 + 72x9 - 95x8 + 72x7 - 18x6 - 30x5 + 47x4 - 36x3 + 18x2 - 6x + 1 \( 2^{24}\cdot 5^{12} \) $C_2^2 : C_4$ (as 16T10) 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 \( 3^{8}\cdot 5^{8}\cdot 11^{6} \) $D_4:D_4$ (as 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 \( 2^{16}\cdot 3^{14}\cdot 5^{6} \) $(C_4\times C_8):C_2$ (as 16T114) Trivial
16.0.4919707275390625.1 x16 - 5x15 + 14x14 - 29x13 + 50x12 - 77x11 + 112x10 - 149x9 + 176x8 - 182x7 + 159x6 - 118x5 + 73x4 - 36x3 + 15x2 - 4x + 1 \( 5^{12}\cdot 67^{4} \) $C_4\times S_4$ (as 16T181) Trivial
16.0.5190614520439741.1 x16 - 3x15 + 7x14 - 12x13 + 15x12 - 15x11 + 12x10 - 5x9 - 2x8 + 4x7 - 5x6 + 6x5 + 3x4 - 5x3 - x2 + 1 \( 617^{2}\cdot 2389^{3} \) 16T1948 Trivial
16.0.5236602731044893.1 x16 - 7x15 + 26x14 - 66x13 + 125x12 - 180x11 + 195x10 - 148x9 + 60x8 + 21x7 - 58x6 + 51x5 - 22x4 - 2x3 + 9x2 - 5x + 1 \( 3^{8}\cdot 13^{4}\cdot 181^{2}\cdot 853 \) 16T1823 Trivial
16.0.5415791883780096.1 x16 - 4x15 + 11x14 - 24x13 + 46x12 - 84x11 + 143x10 - 208x9 + 259x8 - 284x7 + 278x6 - 234x5 + 160x4 - 84x3 + 32x2 - 8x + 1 \( 2^{16}\cdot 3^{10}\cdot 7^{2}\cdot 13^{4} \) $C_2^3.C_2^4.C_2$ (as 16T595) Trivial
16.0.5455162516701184.1 x16 - 4x13 + 3x12 + 8x10 - 8x9 + x8 - 8x7 + 8x6 + 3x4 - 4x3 + 1 \( 2^{32}\cdot 7^{4}\cdot 23^{2} \) $C_2\times D_4^2.C_2$ (as 16T509) Trivial
16.0.5572562780160000.1 x16 - 2x14 - 7x12 + 4x10 + 34x8 + 50x6 + 32x4 + 8x2 + 1 \( 2^{24}\cdot 3^{12}\cdot 5^{4} \) $C_2^2:D_4$ (as 16T43) Trivial
16.0.5575888916015625.1 x16 - 5x15 + 15x14 - 30x13 + 49x12 - 70x11 + 90x10 - 105x9 + 111x8 - 105x7 + 90x6 - 70x5 + 49x4 - 30x3 + 15x2 - 5x + 1 \( 3^{8}\cdot 5^{12}\cdot 59^{2} \) $C_2\times C_2\wr C_4$ (as 16T261) Trivial
16.0.5605632412826517.1 x16 - 4x15 + 11x14 - 24x13 + 46x12 - 75x11 + 104x10 - 121x9 + 121x8 - 107x7 + 86x6 - 63x5 + 43x4 - 27x3 + 14x2 - 5x + 1 \( 3^{10}\cdot 37^{7} \) $(C_2^3\times C_4).D_4$ (as 16T675) Trivial
16.0.5821863490955437.1 x16 - 4x15 + 10x14 - 17x13 + 23x12 - 27x11 + 30x10 - 30x9 + 25x8 - 14x7 + 6x6 - 7x5 + 15x4 - 20x3 + 15x2 - 6x + 1 \( 19^{2}\cdot 101^{2}\cdot 277\cdot 2389^{2} \) 16T1948 Trivial
16.0.5850424087444225.1 x16 - x15 - 2x14 + 6x13 + x12 - 16x11 + 16x10 + 5x9 - 19x8 + 5x7 + 16x6 - 16x5 + x4 + 6x3 - 2x2 - x + 1 \( 5^{2}\cdot 37^{2}\cdot 643^{4} \) 16T1664 Trivial
16.0.5960322509765625.1 x16 - 5x15 + 11x14 - 10x13 - 10x12 + 45x11 - 56x10 - 10x9 + 159x8 - 315x7 + 374x6 - 300x5 + 160x4 - 50x3 + 6x2 + 1 \( 3^{8}\cdot 5^{12}\cdot 61^{2} \) $C_2\times C_2\wr C_4$ (as 16T261) Trivial
16.0.6158959248447369.1 x16 - 3x15 + 2x14 + 6x13 - 10x12 - 3x11 + 23x10 - 24x9 + 7x8 + 6x7 + x6 - 15x5 + 20x4 - 15x3 + 7x2 - 3x + 1 \( 3^{12}\cdot 7^{4}\cdot 13^{6} \) $C_4.C_2^2:D_4$ (as 16T211) Trivial
16.0.6158959248447369.2 x16 - 3x15 + 7x14 - 12x13 + 17x12 - 18x11 + 13x10 + 3x9 - 29x8 + 45x7 - 34x6 + 3x5 + 23x4 - 27x3 + 17x2 - 6x + 1 \( 3^{12}\cdot 7^{4}\cdot 13^{6} \) $C_4.C_2^2:D_4$ (as 16T211) Trivial
16.0.6298009600000000.1 x16 - 4x15 + 8x14 - 10x13 + 11x12 - 12x11 + 10x10 - 4x9 + x8 - 4x7 + 10x6 - 12x5 + 11x4 - 10x3 + 8x2 - 4x + 1 \( 2^{24}\cdot 5^{8}\cdot 31^{2} \) $D_4^2.C_2$ (as 16T396) Trivial
16.0.6468474822995241.1 x16 - 4x15 + 9x14 - 14x13 + 16x12 - 9x11 - 8x10 + 27x9 - 35x8 + 27x7 - 8x6 - 9x5 + 16x4 - 14x3 + 9x2 - 4x + 1 \( 3^{2}\cdot 7^{2}\cdot 19^{4}\cdot 103^{4} \) 16T1664 Trivial
16.0.6472705322265625.1 x16 - x15 + x14 + x13 + 3x12 + 4x11 + 4x10 + 8x9 + 8x8 + 9x7 + 6x6 + 8x5 + 8x4 + 3x3 + 4x2 + 3x + 1 \( 5^{12}\cdot 19^{2}\cdot 271^{2} \) 16T1497 Trivial
16.0.6561000000000000.1 x16 - 5x15 + 15x14 - 32x13 + 56x12 - 85x11 + 114x10 - 134x9 + 131x8 - 98x7 + 42x6 + 9x5 - 28x4 + 18x3 - x2 - 3x + 1 \( 2^{12}\cdot 3^{8}\cdot 5^{12} \) $C_4 \times D_4$ (as 16T19) Trivial
16.0.6634204312890625.1 x16 - 7x15 + 27x14 - 73x13 + 160x12 - 304x11 + 509x10 - 730x9 + 869x8 - 839x7 + 654x6 - 416x5 + 221x4 - 98x3 + 34x2 - 8x + 1 \( 5^{8}\cdot 19^{8} \) $D_{8}$ (as 16T13) Trivial
16.0.6741949462890625.1 x16 + x14 - 5x13 + 2x12 - 5x11 + 13x10 - 10x9 + 15x8 - 20x7 + 17x6 - 20x5 + 17x4 - 10x3 + 9x2 - 5x + 1 \( 5^{14}\cdot 1051^{2} \) 16T1497 Trivial
16.0.6788091008176384.1 x16 - 2x14 - 4x12 + 10x10 + 3x8 - 12x6 - x4 + 5x2 + 1 \( 2^{8}\cdot 47^{2}\cdot 331^{4} \) 16T1852 Trivial
16.0.6884340550074368.1 x16 - 6x15 + 22x14 - 56x13 + 110x12 - 174x11 + 232x10 - 266x9 + 259x8 - 202x7 + 112x6 - 30x5 - 14x4 + 20x3 - 6x2 - 2x + 1 \( 2^{24}\cdot 17^{7} \) $C_4.D_4:C_4$ (as 16T289) Trivial
16.0.6926910400390625.1 x16 - 7x15 + 25x14 - 55x13 + 75x12 - 46x11 - 43x10 + 140x9 - 160x8 + 80x7 + 37x6 - 109x5 + 110x4 - 70x3 + 30x2 - 8x + 1 \( 5^{15}\cdot 61^{3} \) 16T1192 Trivial
16.0.7058653305387264.1 x16 - 2x15 + 2x14 - 3x13 + 11x12 - 19x11 + 10x10 + 21x9 - 44x8 + 21x7 + 40x6 - 89x5 + 92x4 - 60x3 + 26x2 - 7x + 1 \( 2^{8}\cdot 3^{14}\cdot 7^{8} \) $D_8:C_2$ (as 16T47) Trivial
16.0.7105708251953125.1 x16 - 2x15 + 4x14 - 5x13 + 3x12 + 5x11 - 14x10 + 17x9 - 12x8 - 3x7 + 31x6 - 60x5 + 68x4 - 50x3 + 24x2 - 7x + 1 \( 5^{12}\cdot 181\cdot 401^{2} \) 16T1771 Trivial
16.0.7213895789838336.1 x16 - 8x15 + 36x14 - 108x13 + 244x12 - 436x11 + 636x10 - 780x9 + 831x8 - 780x7 + 636x6 - 436x5 + 244x4 - 108x3 + 36x2 - 8x + 1 \( 2^{40}\cdot 3^{8} \) $Q_8 : C_2$ (as 16T11) Trivial
16.0.7380528100000000.1 x16 + 2x14 + 2x12 + 4x6 + 5x4 + 4x2 + 1 \( 2^{8}\cdot 5^{8}\cdot 11^{4}\cdot 71^{2} \) 16T1728 Trivial
16.0.7771775074107392.1 x16 - 6x15 + 17x14 - 28x13 + 26x12 - 10x11 - 3x10 + 2x9 + x8 + 6x7 - 10x6 + 2x5 + 6x4 - 4x3 - 2x2 + 2x + 1 \( 2^{16}\cdot 17^{9} \) $C_4.D_4:C_4$ (as 16T260) Trivial
16.0.8067379209183488.1 x16 - 3x15 + 3x14 + x13 + x12 - 18x11 + 36x10 - 33x9 + 23x8 - 42x7 + 92x6 - 129x5 + 120x4 - 76x3 + 32x2 - 8x + 1 \( 2^{8}\cdot 17^{3}\cdot 283^{4} \) 16T1851 Trivial
16.0.8084777718513664.1 x16 - 4x15 + 6x14 - 14x12 + 24x11 - 18x10 + 15x8 - 20x7 + 22x6 - 24x5 + 24x4 - 20x3 + 12x2 - 4x + 1 \( 2^{36}\cdot 7^{6} \) $D_4:D_4$ (as 16T141) Trivial
16.0.8148125331379089.1 x16 - x15 - 6x14 + 4x13 + 15x12 - 6x11 - 20x10 + 7x9 + 21x8 - 7x7 - 20x6 + 6x5 + 15x4 - 4x3 - 6x2 + x + 1 \( 3^{12}\cdot 7^{6}\cdot 19^{4} \) $D_4^2.C_2$ (as 16T388) Trivial

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