Learn more about

Refine search


Results (8 matches)

  Download to        
Label Polynomial Discriminant Galois group Class group
20.0.488...125.1 x20 - 10x19 + 40x18 - 75x17 + 45x16 + 48x15 - 5x14 - 295x13 + 535x12 - 285x11 - 261x10 + 375x9 + 50x8 - 275x7 + 65x6 + 92x5 - 35x4 - 25x3 + 10x2 + 5x + 1 \( 3^{8}\cdot 5^{27} \) $C_4\times D_5$ (as 20T6) trivial
20.4.439...125.1 x20 - 3x15 - 31x10 + 3x5 + 1 \( 3^{10}\cdot 5^{27} \) $C_4\times D_5$ (as 20T6) trivial
20.0.488...000.1 x20 - 10x19 + 50x18 - 155x17 + 325x16 - 464x15 + 420x14 - 140x13 - 205x12 + 350x11 - 194x10 - 85x9 + 220x8 - 170x7 + 45x6 + 11x5 - 5x3 + 5x2 + 5x + 1 \( 2^{16}\cdot 5^{27} \) $C_4\times D_5$ (as 20T6) trivial
20.4.781...000.1 x20 - 22x15 - 6x10 + 22x5 + 1 \( 2^{20}\cdot 5^{27} \) $C_4\times D_5$ (as 20T6) trivial
20.0.386...125.1 x20 - 2x19 + x18 + x17 - x15 - 4x14 + 11x13 - 6x12 - 8x11 + 22x10 - 17x9 + 9x8 - 31x7 + 56x6 - 64x5 + 27x4 + 10x3 + 4x2 + x + 1 \( 5^{15}\cdot 103^{8} \) $C_4\times D_5$ (as 20T6) trivial (GRH)
20.0.204...125.1 x20 - x19 + 6x18 - 7x17 + 30x16 - 18x15 + 123x14 - 78x13 + 538x12 - 412x11 + 704x10 - 501x9 + 837x8 + 172x7 + 309x6 + 49x5 + 174x4 - 46x3 + 13x2 - 3x + 1 \( 5^{15}\cdot 401^{8} \) $C_4\times D_5$ (as 20T6) $[29]$ (GRH)
20.0.623...125.1 x20 - 20x18 + 170x16 - 800x14 + 2275x12 - 3480x10 - 950x8 + 15700x6 - 25375x4 + 13000x2 + 28880 \( 5^{35}\cdot 11^{8} \) $C_4\times D_5$ (as 20T6) $[5]$ (GRH)
20.0.213...125.1 x20 - 5x19 + 13x18 - 17x17 + 94x16 - 151x15 + 406x14 - 633x13 + 3653x12 - 772x11 + 13426x10 + 5719x9 + 24764x8 + 15388x7 + 21892x6 + 15269x5 + 9379x4 + 3157x3 + 732x2 - 45x + 1 \( 3^{8}\cdot 5^{15}\cdot 239^{8} \) $C_4\times D_5$ (as 20T6) $[2, 58]$ (GRH)
20.20.191...125.1 x20 - 8x19 - 20x18 + 284x17 - 21x16 - 4198x15 + 3737x14 + 33772x13 - 42360x12 - 162403x11 + 230822x10 + 483926x9 - 710001x8 - 898678x7 + 1266895x6 + 1017051x5 - 1261123x4 - 651709x3 + 616317x2 + 185386x - 101429 \( 3^{10}\cdot 5^{15}\cdot 239^{8} \) $C_4\times D_5$ (as 20T6) trivial (GRH)
20.4.754...125.1 x20 - 18x15 - 401x10 + 1918x5 + 1 \( 5^{35}\cdot 11^{10} \) $C_4\times D_5$ (as 20T6) $[5]$ (GRH)
20.20.120...125.1 x20 - 6x19 - 49x18 + 394x17 + 431x16 - 8836x15 + 11137x14 + 75642x13 - 215641x12 - 135520x11 + 1183051x10 - 1032083x9 - 1892289x8 + 4095435x7 - 1533360x6 - 2597056x5 + 3317104x4 - 1586360x3 + 344740x2 - 27105x - 139 \( 5^{15}\cdot 7^{10}\cdot 139^{8} \) $C_4\times D_5$ (as 20T6) trivial (GRH)
  Download to