Learn more about

Refine search


Results (6 matches)

  Download to        
Label Polynomial Discriminant Galois group Class group
20.0.288...625.1 x20 - 3x19 + 3x18 - 6x17 + 12x16 - 4x15 - 6x14 + 7x13 - 34x12 + 26x11 + 68x10 - 96x9 + 19x8 + 44x7 - 12x6 + 26x5 + 23x4 + 4x3 + 5x2 + x + 1 \( 3^{10}\cdot 5^{10}\cdot 29^{8} \) $D_5^2$ (as 20T28) trivial
20.0.591...625.1 x20 - 3x19 + 5x18 - 9x17 + 18x16 - 29x15 + 37x14 - 24x13 + 26x12 - 13x11 + 31x10 - 13x9 + 26x8 - 24x7 + 37x6 - 29x5 + 18x4 - 9x3 + 5x2 - 3x + 1 \( 5^{10}\cdot 7^{10}\cdot 11^{8} \) $D_5^2$ (as 20T28) trivial
20.0.108...625.1 x20 - 10x19 + 71x18 - 354x17 + 1498x16 - 5252x15 + 15921x14 - 41161x13 + 91806x12 - 175591x11 + 279549x10 - 360176x9 + 349654x8 - 219873x7 + 5435x6 + 182237x5 - 39506x4 - 227550x3 + 229548x2 - 86247x + 12321 \( 3^{10}\cdot 5^{18}\cdot 37^{10} \) $D_5^2$ (as 20T28) $[16]$ (GRH)
20.0.750...625.1 x20 - 5x19 + 5x18 + 30x17 - 460x16 + 1594x15 - 660x14 - 6250x13 + 56490x12 - 105110x11 + 59367x10 + 111430x9 - 1315060x8 + 1129650x7 + 448205x6 + 7848131x5 + 15953485x4 - 43775185x3 - 32489355x2 + 70381245x + 55238851 \( 3^{10}\cdot 5^{26}\cdot 31^{8} \) $D_5^2$ (as 20T28) $[5]$ (GRH)
20.20.516...944.1 x20 - 83x18 - 108x17 + 2380x16 + 5760x15 - 27524x14 - 103968x13 + 77348x12 + 735960x11 + 616108x10 - 1615050x9 - 3200232x8 - 714960x7 + 2411685x6 + 1666554x5 - 423490x4 - 635688x3 - 65073x2 + 67764x + 15313 \( 2^{20}\cdot 3^{10}\cdot 7^{10}\cdot 11^{8}\cdot 13^{10} \) $D_5^2$ (as 20T28) $[2]$ (GRH)
20.20.176...000.1 x20 - 160x18 + 10790x16 - 372x15 - 400000x14 + 37080x13 + 8908075x12 - 1405800x11 - 122060112x10 + 25437000x9 + 1009834870x8 - 221247000x7 - 4729220200x6 + 784838688x5 + 10914530225x4 - 681612780x3 - 8806862800x2 + 1007795640x + 916095316 \( 2^{20}\cdot 3^{10}\cdot 5^{26}\cdot 61^{8} \) $D_5^2$ (as 20T28) trivial (GRH)
  Download to