Learn more about

Further refine search

Results (displaying all 24 matches)

Label Polynomial Discriminant Galois group Class group
16.4.8334464799024100000000.1 x16 - 3x14 - 15x13 + 12x12 + 86x11 + 60x10 - 462x9 - 140x8 + 375x7 + 163x6 - 507x5 - 354x4 + 1435x3 + 2200x2 + 1007x + 131 \( 2^{8}\cdot 5^{8}\cdot 11^{6}\cdot 19^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) Trivial (GRH)
16.4.8334464799024100000000.2 x16 - 4x15 + 3x14 + 12x13 - 10x12 - 71x11 + 62x10 + 91x9 + 155x8 - 797x7 + 1446x6 - 1305x5 + 84x4 + 937x3 - 931x2 + 477x + 211 \( 2^{8}\cdot 5^{8}\cdot 11^{6}\cdot 19^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2]$ (GRH)
16.0.618707859192665295814656.1 x16 - 8x15 + 24x14 - 4x13 - 160x12 + 336x11 + 328x10 - 2348x9 + 2784x8 + 3040x7 - 10832x6 + 4692x5 + 21824x4 - 47512x3 + 45744x2 - 22004x + 4243 \( 2^{40}\cdot 3^{14}\cdot 7^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[4]$ (GRH)
16.0.618707859192665295814656.2 x16 - 12x14 - 12x13 + 114x12 - 384x10 - 108x9 + 2364x8 - 4176x7 + 1620x6 + 2916x5 - 1782x4 - 3888x3 + 5904x2 - 3132x + 603 \( 2^{40}\cdot 3^{14}\cdot 7^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2]$ (GRH)
16.0.760879655786905600000000.1 x16 - 12x13 - 44x12 - 40x11 + 72x10 + 280x9 + 654x8 + 864x7 + 792x6 + 408x5 + 4x4 - 112x3 - 56x2 + 20 \( 2^{40}\cdot 5^{8}\cdot 11^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2]$ (GRH)
16.4.760879655786905600000000.1 x16 - 8x15 + 4x14 + 92x13 - 128x12 - 328x11 + 432x10 + 664x9 - 794x8 - 72x7 - 64x6 - 40x5 + 420x4 + 224x3 + 56x2 - 20 \( 2^{40}\cdot 5^{8}\cdot 11^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[4]$ (GRH)
16.0.760879655786905600000000.2 x16 - 4x14 - 12x13 + 6x12 + 56x11 + 48x10 - 92x9 - 165x8 - 192x7 + 692x6 - 388x5 + 816x4 - 800x3 + 668x2 - 344x + 71 \( 2^{40}\cdot 5^{8}\cdot 11^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2]$ (GRH)
16.4.760879655786905600000000.2 x16 - 8x15 + 40x14 - 120x13 + 266x12 - 356x11 + 184x10 + 428x9 - 257x8 - 3428x7 + 8420x6 - 8468x5 + 3652x4 - 636x3 - 1760x2 + 1748x - 361 \( 2^{40}\cdot 5^{8}\cdot 11^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2]$ (GRH)
16.4.3008741792447700100000000.1 x16 - 6x15 + 45x13 - 49x12 - 37x11 - 76x10 + 303x9 - 92x8 - 605x7 + 1281x6 - 1462x5 + 2228x4 - 4206x3 + 5072x2 - 3237x + 809 \( 2^{8}\cdot 5^{8}\cdot 11^{6}\cdot 19^{8} \) $C_2^2.C_2^5.C_2$ (as 16T486) Trivial (GRH)
16.4.3008741792447700100000000.2 x16 - 17x14 - 11x13 + 95x12 + 165x11 - 189x10 - 381x9 + 125x8 + 215x7 - 1168x6 + 460x5 + 1317x4 - 2342x3 + 1407x2 - 285x + 19 \( 2^{8}\cdot 5^{8}\cdot 11^{6}\cdot 19^{8} \) $C_2^2.C_2^5.C_2$ (as 16T486) Trivial (GRH)
16.0.282547277972780436100000000.3 x16 - 3x15 + 7x14 - 6x13 - 41x12 + 27x11 + 249x10 - 514x9 - 750x8 + 2395x7 + 3125x6 - 9006x5 - 3801x4 + 25461x3 + 24883x2 - 24594x + 4951 \( 2^{8}\cdot 5^{8}\cdot 29^{6}\cdot 41^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[4]$ (GRH)
16.0.282547277972780436100000000.4 x16 - 6x15 + 4x14 + 75x13 - 170x12 - 75x11 - 397x10 + 549x9 + 9642x8 - 4303x7 - 2180x6 - 28040x5 + 12986x4 - 9358x3 + 320785x2 - 1179401x + 1200629 \( 2^{8}\cdot 5^{8}\cdot 29^{6}\cdot 41^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[4]$ (GRH)
16.4.596256982033930664464613376.1 x16 - 4x15 - 28x14 + 108x13 + 26x12 - 404x11 - 140x10 + 612x9 + 2500x8 + 564x7 - 12464x6 + 476x5 + 32990x4 - 1332x3 - 68728x2 - 64460x - 14879 \( 2^{46}\cdot 3^{14}\cdot 11^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2]$ (GRH)
16.4.596256982033930664464613376.2 x16 + 12x14 + 60x12 + 696x10 + 2316x8 - 4392x6 - 27504x4 - 26928x2 + 4356 \( 2^{46}\cdot 3^{14}\cdot 11^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[4]$ (GRH)
16.8.29561606196428930148100000000.1 x16 - 4x15 - 4x14 - 9x13 - 22x12 + 364x11 - 575x10 + 752x9 + 1468x8 - 5579x7 + 10632x6 - 38647x5 + 43879x4 + 26287x3 - 218410x2 + 419447x - 225739 \( 2^{8}\cdot 5^{8}\cdot 29^{6}\cdot 89^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2]$ (GRH)
16.8.29561606196428930148100000000.2 x16 - 3x15 - 5x14 + 59x13 - 252x12 + 874x11 - 1923x10 - 18133x9 + 73742x8 + 55753x7 - 326403x6 - 36084x5 - 63967x4 + 973746x3 + 54120x2 - 497997x + 170431 \( 2^{8}\cdot 5^{8}\cdot 29^{6}\cdot 89^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2]$ (GRH)
16.0.7567771186285806117913600000000.1 x16 - 4x15 + 4x14 - 50x13 + 352x12 - 1752x11 + 8745x10 - 23822x9 + 49846x8 - 255112x7 + 933095x6 - 1978000x5 + 6093587x4 - 22285386x3 + 48743378x2 - 56329614x + 28260881 \( 2^{16}\cdot 5^{8}\cdot 29^{6}\cdot 89^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2, 16]$ (GRH)
16.0.7567771186285806117913600000000.2 x16 - 4x15 + 14x14 + 32x13 - 232x12 + 312x11 + 1735x10 - 8772x9 + 46695x8 + 180214x7 + 90453x6 + 2452190x5 + 10347492x4 + 3593666x3 + 8936718x2 + 155779206x + 276981329 \( 2^{16}\cdot 5^{8}\cdot 29^{6}\cdot 89^{6} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2, 16]$ (GRH)
16.16.10222920866308585756291080141015625.1 x16 - 3x15 - 252x14 + 932x13 + 24491x12 - 111005x11 - 1119801x10 + 6339288x9 + 22078857x8 - 175244062x7 - 57412441x6 + 2008168865x5 - 2431860371x4 - 5410917432x3 + 7733543137x2 + 5798562068x - 3929689661 \( 5^{8}\cdot 29^{6}\cdot 89^{6}\cdot 97^{4} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2]$ (GRH)
16.16.10222920866308585756291080141015625.2 x16 - 6x15 - 256x14 + 1289x13 + 26010x12 - 104119x11 - 1329612x10 + 3954134x9 + 35522224x8 - 73288835x7 - 466102134x6 + 667980468x5 + 2583616864x4 - 2964390016x3 - 4125832615x2 + 3700629245x - 413586661 \( 5^{8}\cdot 29^{6}\cdot 89^{6}\cdot 97^{4} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2]$ (GRH)
16.0.6389325541442866097681925088134765625.1 x16 - 5x15 + 571x14 - 3253x13 + 130172x12 - 747076x11 + 15260697x10 - 77823720x9 + 971305477x8 - 3875600877x7 + 31928083438x6 - 85973445953x5 + 492328618856x4 - 723012409264x3 + 3208121031533x2 - 2034948668117x + 7573496420461 \( 5^{12}\cdot 29^{6}\cdot 89^{6}\cdot 97^{4} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2, 2, 4, 1658616]$ (GRH)
16.0.6389325541442866097681925088134765625.2 x16 - x15 + 521x14 - 1189x13 + 106326x12 - 313277x11 + 11307728x10 - 33795292x9 + 673687947x8 - 1741918829x7 + 21895399022x6 - 43319155511x5 + 372148469851x4 - 495918674948x3 + 2949128684464x2 - 2276308091503x + 7959188855021 \( 5^{12}\cdot 29^{6}\cdot 89^{6}\cdot 97^{4} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2, 2, 4, 1854276]$ (GRH)
16.8.1992553742188905474600208423051202739081327305267455857076982769849672400896.1 x16 - 8232x14 - 203643906x12 + 105147547800x10 + 937154922830376x8 + 320123065218610248x6 - 713096463830582806866x4 - 400049393316527065111416x2 + 1551365056544532363020601 \( 2^{56}\cdot 3^{14}\cdot 13^{6}\cdot 29^{8}\cdot 107^{8}\cdot 139^{8} \) $C_2^2.C_2^5.C_2$ (as 16T486) $[2, 2, 4, 4, 4, 8]$ (GRH)
16.8.1992553742188905474600208423051202739081327305267455857076982769849672400896.2 x16 - 1680x14 - 84015162x12 + 68564686032x10 + 1804162994563848x8 + 135885537776647872x6 - 617059300053864361194x4 + 67888704460353159384144x2 + 12477755900910335205401361 \( 2^{56}\cdot 3^{14}\cdot 13^{6}\cdot 29^{8}\cdot 107^{8}\cdot 139^{8} \) $C_2^2.C_2^5.C_2$ (as 16T486) n/a


Download all search results for