## Results (displaying matches 1-50 of at least 1000) Next

Label Polynomial Discriminant Galois group Class group
16.0.104976000000000000.1 x16 + x14 - x10 - x8 - x6 + x2 + 1 $$2^{16}\cdot 3^{8}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) Trivial
16.0.1048576000000000000.1 x16 - x12 + x8 - x4 + 1 $$2^{32}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) Trivial
16.0.1846757322198614016.1 x16 - x8 + 1 $$2^{48}\cdot 3^{8}$$ $C_4\times C_2^2$ (as 16T2) Trivial
16.0.9234096523681640625.1 x16 - x15 + 2x14 - 5x13 + 5x12 + x11 + 6x10 + 5x9 - 21x8 + 10x7 + 24x6 + 8x5 + 80x4 - 160x3 + 128x2 - 128x + 256 $$3^{8}\cdot 5^{12}\cdot 7^{8}$$ $C_4\times C_2^2$ (as 16T2) Trivial
16.0.26873856000000000000.1 x16 + 2x14 - 8x10 - 16x8 - 32x6 + 128x2 + 256 $$2^{24}\cdot 3^{8}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) Trivial
16.0.26873856000000000000.2 x16 - 2x14 + 8x10 - 16x8 + 32x6 - 128x2 + 256 $$2^{24}\cdot 3^{8}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) $[2]$
16.0.92236816000000000000.1 x16 + 3x14 + 5x12 + 3x10 - 11x8 + 12x6 + 80x4 + 192x2 + 256 $$2^{16}\cdot 5^{12}\cdot 7^{8}$$ $C_4\times C_2^2$ (as 16T2) Trivial
16.0.109951162777600000000.1 x16 + 47x8 + 1 $$2^{48}\cdot 5^{8}$$ $C_4\times C_2^2$ (as 16T2) Trivial
16.0.343361479062744140625.1 x16 - x15 + 3x14 - 8x13 + 8x12 + 7x11 + 6x10 + 56x9 - 137x8 + 168x7 + 54x6 + 189x5 + 648x4 - 1944x3 + 2187x2 - 2187x + 6561 $$3^{8}\cdot 5^{12}\cdot 11^{8}$$ $C_4\times C_2^2$ (as 16T2) $[4]$
16.0.1306642885859619140625.1 x16 - x15 - 3x14 + 10x13 - 10x12 + 31x11 + 66x10 - 310x9 + 229x8 + 930x7 + 594x6 - 837x5 - 810x4 - 2430x3 - 2187x2 + 2187x + 6561 $$3^{8}\cdot 5^{12}\cdot 13^{8}$$ $C_4\times C_2^2$ (as 16T2) $[4]$ (GRH)
16.0.1622647227216566419456.1 x16 - 31x8 + 256 $$2^{48}\cdot 7^{8}$$ $C_4\times C_2^2$ (as 16T2) $[4]$
16.0.3429742096000000000000.1 x16 + 5x14 + 16x12 + 35x10 + 31x8 + 315x6 + 1296x4 + 3645x2 + 6561 $$2^{16}\cdot 5^{12}\cdot 11^{8}$$ $C_4\times C_2^2$ (as 16T2) $[4]$ (GRH)
16.16.6879707136000000000000.1 x16 - 16x14 + 105x12 - 364x10 + 714x8 - 784x6 + 440x4 - 96x2 + 1 $$2^{32}\cdot 3^{8}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) Trivial (GRH)
16.0.6879707136000000000000.1 x16 + 16x14 + 105x12 + 364x10 + 714x8 + 784x6 + 440x4 + 96x2 + 1 $$2^{32}\cdot 3^{8}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) $[8]$
16.0.6879707136000000000000.2 x16 + 21x12 + 86x8 + 36x4 + 1 $$2^{32}\cdot 3^{8}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) $[8]$
16.0.6879707136000000000000.3 x16 + 29x12 + 246x8 + 524x4 + 1 $$2^{32}\cdot 3^{8}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) $[2, 2]$
16.0.6879707136000000000000.4 x16 + 4x14 + 15x12 + 56x10 + 209x8 + 56x6 + 15x4 + 4x2 + 1 $$2^{32}\cdot 3^{8}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) $[2, 2]$ (GRH)
16.0.6879707136000000000000.5 x16 + 8x14 + 45x12 + 128x10 + 264x8 + 212x6 + 125x4 + 12x2 + 1 $$2^{32}\cdot 3^{8}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) $[2, 4]$
16.0.6879707136000000000000.6 x16 - 15x12 + 200x8 - 375x4 + 625 $$2^{32}\cdot 3^{8}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) $[2, 2]$ (GRH)
16.0.6879707136000000000000.7 x16 - 4x14 + 15x12 - 56x10 + 209x8 - 56x6 + 15x4 - 4x2 + 1 $$2^{32}\cdot 3^{8}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) $[8]$ (GRH)
16.0.6879707136000000000000.8 x16 - 8x14 + 45x12 - 128x10 + 264x8 - 212x6 + 125x4 - 12x2 + 1 $$2^{32}\cdot 3^{8}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) $[2, 2]$ (GRH)
16.0.6879707136000000000000.9 x16 - 9x12 + 81x8 - 729x4 + 6561 $$2^{32}\cdot 3^{8}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) $[8]$ (GRH)
16.0.10017750154516748107776.1 x16 + 3x14 - 9x12 + 62x10 + 327x8 - 126x6 - 146x4 - 36x2 + 81 $$2^{16}\cdot 3^{8}\cdot 13^{12}$$ $C_4\times C_2^2$ (as 16T2) $[4]$ (GRH)
16.0.11173814592383056640625.1 x16 - x15 - 4x14 + 13x13 - 13x12 + 49x11 + 132x10 - 637x9 + 381x8 + 2548x7 + 2112x6 - 3136x5 - 3328x4 - 13312x3 - 16384x2 + 16384x + 65536 $$3^{8}\cdot 5^{12}\cdot 17^{8}$$ $C_4\times C_2^2$ (as 16T2) $[6]$ (GRH)
16.0.13051691536000000000000.1 x16 - 7x14 + 40x12 - 217x10 + 1159x8 - 1953x6 + 3240x4 - 5103x2 + 6561 $$2^{16}\cdot 5^{12}\cdot 13^{8}$$ $C_4\times C_2^2$ (as 16T2) $[4]$ (GRH)
16.0.23612624896000000000000.1 x16 - 2x15 - 5x14 + 20x13 + 19x12 + 88x11 - 497x10 + 10x9 + 3711x8 - 3712x7 + 2758x6 - 1816x5 + 1084x4 - 464x3 + 184x2 - 64x + 16 $$2^{24}\cdot 5^{12}\cdot 7^{8}$$ $C_4\times C_2^2$ (as 16T2) $[5]$ (GRH)
16.0.23612624896000000000000.2 x16 - 8x15 + 48x14 - 196x13 + 656x12 - 1752x11 + 3898x10 - 7148x9 + 10467x8 - 11960x7 + 8262x6 - 264x5 + 372x4 - 6272x3 + 4376x2 - 480x + 16 $$2^{24}\cdot 5^{12}\cdot 7^{8}$$ $C_4\times C_2^2$ (as 16T2) $[4]$ (GRH)
16.0.27204384060547119140625.1 x16 - x15 + 5x14 - 14x13 + 14x12 + 31x11 - 30x10 + 434x9 - 1059x8 + 2170x7 - 750x6 + 3875x5 + 8750x4 - 43750x3 + 78125x2 - 78125x + 390625 $$3^{8}\cdot 5^{12}\cdot 19^{8}$$ $C_4\times C_2^2$ (as 16T2) $[8]$ (GRH)
16.0.45086848686489600000000.1 x16 + 12x14 + 114x12 + 312x10 + 608x8 + 624x6 + 456x4 + 96x2 + 16 $$2^{44}\cdot 3^{8}\cdot 5^{8}$$ $C_4\times C_2^2$ (as 16T2) $[20]$ (GRH)
16.0.45086848686489600000000.2 x16 - 12x14 + 114x12 - 312x10 + 608x8 - 624x6 + 456x4 - 96x2 + 16 $$2^{44}\cdot 3^{8}\cdot 5^{8}$$ $C_4\times C_2^2$ (as 16T2) $[2]$ (GRH)
16.0.59710443940858531640625.1 x16 - x15 - 4x14 - 41x13 + 6x12 + 184x11 + 163x10 + 452x9 + 1014x8 + 599x7 + 632x6 + 1090x5 - 89x4 - 384x3 + 126x2 - 108x + 81 $$3^{8}\cdot 5^{8}\cdot 13^{12}$$ $C_4\times C_2^2$ (as 16T2) $[4]$ (GRH)
16.0.60336661037197280935936.1 x16 - 113x8 + 6561 $$2^{48}\cdot 11^{8}$$ $C_4\times C_2^2$ (as 16T2) $[5]$ (GRH)
16.0.68719476736000000000000.1 x16 + 175x8 + 625 $$2^{48}\cdot 5^{12}$$ $C_4\times C_2^2$ (as 16T2) $[10]$ (GRH)
16.0.100064513660480049381376.1 x16 - 27x12 + 366x8 - 308x4 + 81 $$2^{32}\cdot 13^{12}$$ $C_4\times C_2^2$ (as 16T2) $[3]$ (GRH)
16.0.111612119056000000000000.1 x16 - 9x14 + 65x12 - 441x10 + 2929x8 - 7056x6 + 16640x4 - 36864x2 + 65536 $$2^{16}\cdot 5^{12}\cdot 17^{8}$$ $C_4\times C_2^2$ (as 16T2) $[4]$ (GRH)
16.0.125439056256992431640625.1 x16 - x15 + 6x14 - 17x13 + 17x12 + 49x11 - 78x10 + 833x9 - 2129x8 + 4998x7 - 2808x6 + 10584x5 + 22032x4 - 132192x3 + 279936x2 - 279936x + 1679616 $$3^{8}\cdot 5^{12}\cdot 23^{8}$$ $C_4\times C_2^2$ (as 16T2) $[15]$ (GRH)
16.0.229607785695641627262976.1 x16 + 799x8 + 6561 $$2^{48}\cdot 13^{8}$$ $C_4\times C_2^2$ (as 16T2) $[15]$ (GRH)
16.0.250516897691366976454656.1 x16 - 13x14 + 129x12 - 494x10 + 1430x8 - 494x6 + 129x4 - 13x2 + 1 $$2^{16}\cdot 3^{8}\cdot 17^{12}$$ $C_4\times C_2^2$ (as 16T2) $[20]$ (GRH)
16.0.271737008656000000000000.1 x16 + 9x14 + 56x12 + 279x10 + 1111x8 + 6975x6 + 35000x4 + 140625x2 + 390625 $$2^{16}\cdot 5^{12}\cdot 19^{8}$$ $C_4\times C_2^2$ (as 16T2) $[2, 8]$ (GRH)
16.0.301693430553633056640625.1 x16 - 9x14 + 80x12 - 711x10 + 6319x8 - 711x6 + 80x4 - 9x2 + 1 $$5^{12}\cdot 7^{8}\cdot 11^{8}$$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2]$ (GRH)
16.0.596430979135513600000000.1 x16 - 9x14 + 135x12 - 90x10 + 663x8 - 270x6 + 1150x4 + 108x2 + 81 $$2^{16}\cdot 5^{8}\cdot 13^{12}$$ $C_4\times C_2^2$ (as 16T2) $[4]$ (GRH)
16.16.605165749776000000000000.1 x16 - 28x14 + 274x12 - 1262x10 + 3051x8 - 3970x6 + 2635x4 - 725x2 + 25 $$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$$ $C_4\times C_2^2$ (as 16T2) Trivial (GRH)
16.0.605165749776000000000000.1 x16 + 12x14 + 110x12 + 362x10 + 879x8 + 758x6 + 495x4 + 23x2 + 1 $$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$$ $C_4\times C_2^2$ (as 16T2) $[4, 8]$ (GRH)
16.0.605165749776000000000000.2 x16 + 21x14 + 210x12 + 1104x10 + 3329x8 + 5124x6 + 4320x4 + 1536x2 + 256 $$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$$ $C_4\times C_2^2$ (as 16T2) $[4, 8]$ (GRH)
16.0.605165749776000000000000.3 x16 + 29x14 + 336x12 + 1979x10 + 6231x8 + 10055x6 + 7040x4 + 1125x2 + 25 $$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$$ $C_4\times C_2^2$ (as 16T2) $[4, 8]$ (GRH)
16.0.605165749776000000000000.4 x16 + 4x14 + 50x12 - 114x10 + 1259x8 - 3294x6 + 11675x4 - 15881x2 + 22801 $$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2]$ (GRH)
16.0.605165749776000000000000.5 x16 + 5x14 + 24x12 + 115x10 + 551x8 + 115x6 + 24x4 + 5x2 + 1 $$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2]$ (GRH)
16.0.605165749776000000000000.6 x16 - 11x14 + 96x12 - 781x10 + 6191x8 - 19525x6 + 60000x4 - 171875x2 + 390625 $$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$$ $C_4\times C_2^2$ (as 16T2) $[4, 8]$ (GRH)
16.0.605165749776000000000000.7 x16 - 19x14 + 240x12 - 1741x10 + 9219x8 - 29161x6 + 63200x4 - 33759x2 + 14641 $$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2]$ (GRH)
16.0.605165749776000000000000.8 x16 - 2x15 - 25x14 + 50x13 + 254x12 - 442x11 - 1452x10 + 2200x9 + 4686x8 - 7282x7 - 5457x6 + 3214x5 + 30374x4 + 11566x3 + 3134x2 - 9304x + 2101 $$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$$ $C_4\times C_2^2$ (as 16T2) $[4, 8]$ (GRH)
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