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Results (displaying all 12 matches)

Label Polynomial Discriminant Galois group Class group
16.0.9349208943630483456.3 x16 + 22x12 - 60x10 + 243x8 - 204x6 + 70x4 - 12x2 + 1 \( 2^{44}\cdot 3^{12} \) $C_4.D_4$ (as 16T30) Trivial
16.0.136048896000000000000.1 x16 - 2x15 - 8x14 + 10x13 + 63x12 - 98x11 - 86x10 + 48x9 + 757x8 - 1896x7 + 2378x6 - 1668x5 + 404x4 + 296x3 - 184x2 + 16 \( 2^{20}\cdot 3^{12}\cdot 5^{12} \) $C_4.D_4$ (as 16T30) $[2]$
16.4.149587343098087735296.3 x16 - 32x12 - 120x10 - 222x8 - 192x6 - 80x4 - 24x2 + 1 \( 2^{48}\cdot 3^{12} \) $C_4.D_4$ (as 16T30) Trivial
16.4.2176782336000000000000.2 x16 - 6x15 + 14x14 - 10x13 - 19x12 - 18x11 + 140x10 - 132x9 + 142x8 - 336x7 + 310x6 - 56x5 - 84x4 + 70x3 - 14x2 - 2x + 1 \( 2^{24}\cdot 3^{12}\cdot 5^{12} \) $C_4.D_4$ (as 16T30) $[2]$ (GRH)
16.0.2393397489569403764736.1 x16 + 4x12 - 96x10 + 150x8 + 96x6 + 4x4 + 1 \( 2^{52}\cdot 3^{12} \) $C_4.D_4$ (as 16T30) $[2]$
16.4.2393397489569403764736.1 x16 - 20x12 - 48x10 - 138x8 + 384x6 + 172x4 + 48x2 + 1 \( 2^{52}\cdot 3^{12} \) $C_4.D_4$ (as 16T30) Trivial (GRH)
16.16.2282521714753536000000000000.2 x16 - 4x15 - 36x14 + 184x13 + 276x12 - 2532x11 + 1576x10 + 10204x9 - 12939x8 - 15196x7 + 25960x6 + 6876x5 - 16638x4 + 32x3 + 1620x2 + 196x + 1 \( 2^{44}\cdot 3^{12}\cdot 5^{12} \) $C_4.D_4$ (as 16T30) $[2]$ (GRH)
16.0.2282521714753536000000000000.3 x16 - 4x15 + 4x14 - 16x13 + 156x12 - 652x11 + 1516x10 - 2436x9 + 7441x8 - 30156x7 + 82820x6 - 142404x5 + 136322x4 - 54488x3 + 75320x2 - 199044x + 167101 \( 2^{44}\cdot 3^{12}\cdot 5^{12} \) $C_4.D_4$ (as 16T30) $[2, 2, 80]$ (GRH)
16.0.22144295318673432094540038144.1 x16 + 24x14 - 24x13 + 388x12 - 552x11 + 4236x10 - 7104x9 + 32370x8 - 73872x7 + 166488x6 - 409752x5 + 576784x4 - 963552x3 + 989808x2 + 1020648x + 855742 \( 2^{48}\cdot 3^{12}\cdot 23^{6} \) $C_4.D_4$ (as 16T30) $[2, 4, 4, 8]$ (GRH)
16.16.22144295318673432094540038144.1 x16 - 8x15 - 32x14 + 352x13 + 184x12 - 5432x11 + 2236x10 + 38968x9 - 32168x8 - 135384x7 + 149568x6 + 195744x5 - 285732x4 - 31752x3 + 158652x2 - 67104x + 8433 \( 2^{48}\cdot 3^{12}\cdot 23^{6} \) $C_4.D_4$ (as 16T30) Trivial (GRH)
16.0.22144295318673432094540038144.2 x16 - 32x14 - 24x13 + 528x12 + 696x11 - 4340x10 - 8976x9 + 20776x8 + 65760x7 - 11160x6 - 191712x5 + 39996x4 + 850104x3 + 1807452x2 + 1890576x + 1377009 \( 2^{48}\cdot 3^{12}\cdot 23^{6} \) $C_4.D_4$ (as 16T30) $[2, 2, 4, 8]$ (GRH)
16.0.354308725098774913512640610304.1 x16 - 8x15 + 48x14 - 88x13 + 240x12 + 1968x11 - 5588x10 + 16184x9 + 11832x8 - 83624x7 + 415672x6 - 951840x5 + 2031636x4 - 2871392x3 + 3696324x2 - 3324304x + 1977337 \( 2^{52}\cdot 3^{12}\cdot 23^{6} \) $C_4.D_4$ (as 16T30) $[2, 4, 4, 16]$ (GRH)



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