Learn more about

Further refine search

Results (displaying all 16 matches)

Label Polynomial Discriminant Galois group Class group
16.0.168110601127133184.3 x16 - 2x15 + x14 + 8x13 - 25x12 + 28x11 + 8x10 - 76x9 + 115x8 - 76x7 + 8x6 + 28x5 - 25x4 + 8x3 + x2 - 2x + 1 \( 2^{16}\cdot 3^{12}\cdot 13^{6} \) $C_4^2:C_2^2.C_2$ (as 16T382) Trivial
16.0.168110601127133184.4 x16 - 8x15 + 31x14 - 74x13 + 113x12 - 98x11 + 16x10 + 68x9 - 89x8 + 60x7 - 20x6 - 12x5 + 25x4 - 14x3 + x2 + 1 \( 2^{16}\cdot 3^{12}\cdot 13^{6} \) $C_4^2:C_2^2.C_2$ (as 16T382) 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
16.4.3156743510053945344.1 x16 - 8x15 + 29x14 - 56x13 + 44x12 + 54x11 - 199x10 + 276x9 - 245x8 + 198x7 - 187x6 + 148x5 - 55x4 - 14x3 + 22x2 - 8x + 1 \( 2^{16}\cdot 3^{10}\cdot 13^{8} \) $C_4^2:C_2^2.C_2$ (as 16T382) Trivial
16.8.479370401182778392576.1 x16 - 2x14 + 2x12 - 30x10 + 95x8 - 110x6 + 54x4 - 12x2 + 1 \( 2^{36}\cdot 17^{8} \) $C_4^2:C_2^2.C_2$ (as 16T382) Trivial (GRH)
16.0.479370401182778392576.9 x16 + 2x14 + 2x12 + 30x10 + 95x8 + 110x6 + 54x4 + 12x2 + 1 \( 2^{36}\cdot 17^{8} \) $C_4^2:C_2^2.C_2$ (as 16T382) $[2]$
16.8.1917481604731113570304.4 x16 - 10x14 + 30x12 - 28x10 + 8x8 - 56x6 + 120x4 - 80x2 + 16 \( 2^{38}\cdot 17^{8} \) $C_4^2:C_2^2.C_2$ (as 16T382) Trivial (GRH)
16.0.1917481604731113570304.9 x16 + 10x14 + 30x12 + 28x10 + 8x8 + 56x6 + 120x4 + 80x2 + 16 \( 2^{38}\cdot 17^{8} \) $C_4^2:C_2^2.C_2$ (as 16T382) $[2]$ (GRH)
16.16.249380402502525328515625.1 x16 - 6x15 - 6x14 + 87x13 - 69x12 - 390x11 + 609x10 + 512x9 - 1421x8 + 259x7 + 923x6 - 453x5 - 146x4 + 92x3 + 14x2 - 6x - 1 \( 5^{8}\cdot 29^{6}\cdot 181^{4} \) $C_4^2:C_2^2.C_2$ (as 16T382) Trivial (GRH)
16.16.249380402502525328515625.2 x16 - 6x15 - 7x14 + 87x13 - 21x12 - 465x11 + 252x10 + 1142x9 - 567x8 - 1343x7 + 397x6 + 764x5 - 47x4 - 179x3 - 19x2 + 9x + 1 \( 5^{8}\cdot 29^{6}\cdot 181^{4} \) $C_4^2:C_2^2.C_2$ (as 16T382) Trivial (GRH)
16.0.70456147291118760156463104.1 x16 + 14x14 + 124x12 - 312x11 + 836x10 - 2916x9 + 4414x8 - 432x7 - 5560x6 + 4296x5 + 10783x4 - 24672x3 + 23132x2 - 12360x + 3481 \( 2^{36}\cdot 3^{14}\cdot 11^{8} \) $C_4^2:C_2^2.C_2$ (as 16T382) $[2, 2, 10]$ (GRH)
16.0.96313927189328563031640625.4 x16 - 2x15 + 21x14 - 48x13 + 80x12 - 251x11 - 171x10 + 1273x9 + 689x8 + 5148x7 + 4448x6 - 23051x5 - 3769x4 + 21361x3 - 7716x2 - 3965x + 7391 \( 5^{8}\cdot 29^{8}\cdot 149^{4} \) $C_4^2:C_2^2.C_2$ (as 16T382) $[2, 6]$ (GRH)
16.0.155862751564078330322265625.1 x16 + 34x14 - 5x13 + 482x12 - 70x11 + 3462x10 - 495x9 + 10430x8 - 3390x7 + 353x6 - 55x5 - 693x4 + 62875x3 + 68991x2 + 67520x + 44521 \( 5^{12}\cdot 29^{6}\cdot 181^{4} \) $C_4^2:C_2^2.C_2$ (as 16T382) $[2, 34]$ (GRH)
16.0.60196204493330351894775390625.1 x16 - 5x15 + 11x14 - 58x13 + 502x12 - 1991x11 + 5182x10 - 15840x9 + 54992x8 - 209167x7 + 440048x6 - 536748x5 + 1309311x4 - 3179774x3 + 12891428x2 - 25175452x + 15350411 \( 5^{12}\cdot 29^{8}\cdot 149^{4} \) $C_4^2:C_2^2.C_2$ (as 16T382) $[2, 2, 6]$ (GRH)
16.8.153215432545895383062469140625.1 x16 - 6x14 - 79x13 - 363x12 + 208x11 + 1820x10 + 16889x9 + 46813x8 - 28110x7 - 242494x6 - 505131x5 - 82290x4 - 467348x3 - 180024x2 + 303036x + 102049 \( 5^{8}\cdot 29^{8}\cdot 941^{4} \) $C_4^2:C_2^2.C_2$ (as 16T382) $[2]$ (GRH)
16.8.2724840429455819815583272515625.1 x16 - 6x15 - 7x14 + 145x13 - 532x12 - 285x11 + 6443x10 - 12099x9 + 1739x8 + 50772x7 - 153047x6 + 67167x5 + 310144x4 - 362051x3 + 87664x2 + 68512x - 166291 \( 5^{6}\cdot 29^{12}\cdot 149^{4} \) $C_4^2:C_2^2.C_2$ (as 16T382) Trivial (GRH)


Download all search results for