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Results (displaying all 13 matches)

Label Polynomial Discriminant Galois group Class group
16.0.231549328645449984.1 x16 - x15 + 6x14 - 6x13 + 10x12 - 15x11 - 2x10 - 23x9 - 18x8 - 9x7 + 4x6 + 45x5 + 63x4 + 49x3 + 26x2 + 8x + 1 \( 2^{8}\cdot 3^{8}\cdot 13^{10} \) $OD_{16}:C_2^2$ (as 16T106) Trivial
16.0.535897202500000000.1 x16 - x15 + 3x14 - 5x13 + 5x12 - 5x10 + 10x9 - 12x8 + 5x7 + 17x6 - 23x5 + 5x4 + 20x3 - 7x2 - 6x + 9 \( 2^{8}\cdot 5^{10}\cdot 11^{8} \) $OD_{16}:C_2^2$ (as 16T106) Trivial
16.0.25353862925258850304.5 x16 + 4x12 + x8 - 6x4 + 4 \( 2^{42}\cdot 7^{8} \) $OD_{16}:C_2^2$ (as 16T106) Trivial
16.8.1250616032402500000000.1 x16 - 14x14 - 13x13 + 72x12 + 125x11 - 139x10 - 454x9 - 90x8 + 680x7 + 710x6 - 107x5 - 681x4 - 498x3 - 120x2 + 6x + 1 \( 2^{8}\cdot 5^{10}\cdot 29^{8} \) $OD_{16}:C_2^2$ (as 16T106) Trivial (GRH)
16.8.42070723330020100000000.1 x16 - 36x12 + 382x8 - 1189x4 + 841 \( 2^{8}\cdot 5^{8}\cdot 29^{10} \) $OD_{16}:C_2^2$ (as 16T106) Trivial (GRH)
16.8.320157704295040000000000.1 x16 - 10x14 - 14x12 + 215x10 + 254x8 - 1020x6 - 1690x4 - 625x2 + 25 \( 2^{16}\cdot 5^{10}\cdot 29^{8} \) $OD_{16}:C_2^2$ (as 16T106) Trivial (GRH)
16.8.394577369981946328515625.1 x16 - x15 - 9x14 - 18x13 + 21x12 + 112x11 + 302x10 + 239x9 - 594x8 - 1873x7 - 2874x6 - 1755x5 + 164x4 + 952x3 + 616x2 + 79x - 1 \( 5^{8}\cdot 7^{4}\cdot 29^{10} \) $OD_{16}:C_2^2$ (as 16T106) Trivial (GRH)
16.8.4693679410268375297265625.1 x16 - x15 - 3x14 - 21x13 - 36x12 - 45x11 + 126x10 + 428x9 - 2247x8 - 1580x7 + 3704x6 - 8914x5 - 9951x4 + 10218x3 + 4415x2 - 3646x + 431 \( 5^{8}\cdot 13^{4}\cdot 29^{10} \) $OD_{16}:C_2^2$ (as 16T106) Trivial (GRH)
16.0.101011806715378260100000000.1 x16 + 58x14 + 1412x12 + 18792x10 + 149073x8 + 719432x6 + 2056187x4 + 3173093x2 + 2019241 \( 2^{8}\cdot 5^{8}\cdot 7^{4}\cdot 29^{10} \) $OD_{16}:C_2^2$ (as 16T106) $[2, 2, 74]$ (GRH)
16.16.101011806715378260100000000.1 x16 - 4x15 - 50x14 + 223x13 + 796x12 - 4244x11 - 4346x10 + 33924x9 + 5559x8 - 125198x7 + 2670x6 + 211540x5 + 57555x4 - 144115x3 - 115409x2 - 31750x - 3011 \( 2^{8}\cdot 5^{8}\cdot 7^{4}\cdot 29^{10} \) $OD_{16}:C_2^2$ (as 16T106) Trivial (GRH)
16.8.2933549631417734560791015625.1 x16 - 3x15 + 4x14 + 72x13 - 554x12 + 1444x11 - 343x10 - 1294x9 - 9708x8 - 38297x7 + 158548x6 + 22608x5 - 286394x4 + 169226x3 - 234549x2 - 77161x + 449591 \( 5^{12}\cdot 13^{4}\cdot 29^{10} \) $OD_{16}:C_2^2$ (as 16T106) $[2]$ (GRH)
16.16.36031176726534051919298560000.1 x16 - 60x14 - 4x13 + 1421x12 + 256x11 - 16978x10 - 5040x9 + 107128x8 + 40592x7 - 337526x6 - 131408x5 + 448317x4 + 146816x3 - 161348x2 - 66092x - 1471 \( 2^{32}\cdot 5^{4}\cdot 41^{10} \) $OD_{16}:C_2^2$ (as 16T106) $[2]$ (GRH)
16.0.307604973831348243481600000000.1 x16 + 99x14 + 3773x12 + 73404x10 + 804493x8 + 5096286x6 + 18172908x4 + 33258186x2 + 24019801 \( 2^{16}\cdot 5^{8}\cdot 13^{4}\cdot 29^{10} \) $OD_{16}:C_2^2$ (as 16T106) $[2, 2, 2, 2330]$ (GRH)


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