Learn more about

Further refine search

Results (displaying all 16 matches)

Label Polynomial Discriminant Galois group Class group
20.0.12858618354751897106401.1 x20 - 2x19 + x18 - 3x17 + 13x16 - 20x15 + 10x14 + 17x13 - 19x12 + 8x11 + 11x10 + 8x9 - 19x8 + 17x7 + 10x6 - 20x5 + 13x4 - 3x3 + x2 - 2x + 1 \( 11^{16}\cdot 23^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial
20.4.12858618354751897106401.1 x20 - 2x19 + 2x18 + 2x17 - 9x16 + 24x15 - 39x14 + 48x13 - 58x12 + 60x11 - 59x10 + 60x9 - 58x8 + 48x7 - 39x6 + 24x5 - 9x4 + 2x3 + 2x2 - 2x + 1 \( 11^{16}\cdot 23^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial
20.0.157092982407310367598961.1 x20 - 2x19 + 5x18 - 10x17 + 21x16 - 29x15 + 42x14 - 62x13 + 78x12 - 77x11 + 89x10 - 77x9 + 92x8 - 54x7 + 45x6 - 18x5 + 24x4 - 7x3 + 4x2 + x + 1 \( 11^{16}\cdot 43^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial
20.4.157092982407310367598961.1 x20 - 2x18 - 11x15 - 39x14 - 55x13 - 67x12 - 66x11 - 51x10 - 66x9 - 67x8 - 55x7 - 39x6 - 11x5 - 2x2 + 1 \( 11^{16}\cdot 43^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial
20.4.1555892820924979549874521.1 x20 - 7x19 + 24x18 - 59x17 + 121x16 - 208x15 + 290x14 - 328x13 + 304x12 - 209x11 + 45x10 + 110x9 - 113x8 - 23x7 + 82x6 + x5 - 33x4 - 14x3 - x2 + 5x + 1 \( 11^{18}\cdot 23^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial
20.8.1555892820924979549874521.1 x20 - 5x19 + 6x18 + 10x17 - 43x16 + 58x15 + 65x14 - 261x13 + 4x12 + 418x11 - 21x10 - 308x9 - 85x8 + 73x7 + 51x6 + 63x5 + 25x4 - 24x3 - 25x2 - 2x + 1 \( 11^{18}\cdot 23^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial
20.0.2882989024985141646352801.1 x20 - 4x19 + 9x18 - 16x17 + 27x16 - 30x15 + 33x14 - 33x13 + 24x12 - 11x11 + 23x10 + 8x8 - 11x7 + 22x6 + 14x5 + 12x4 + 13x3 + 5x2 + 2x + 1 \( 11^{16}\cdot 89^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial
20.0.2882989024985141646352801.2 x20 - 3x19 + 3x18 - 4x17 + 14x16 - 30x15 + 44x14 - 44x13 + 50x12 - 99x11 + 144x10 - 143x9 + 109x8 - 77x7 + 77x6 - 63x5 + 42x4 - 14x3 + 4x2 - x + 1 \( 11^{16}\cdot 89^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial
20.4.6486179365988627137555921.1 x20 - 3x18 + 11x16 - 45x14 + 30x12 - 103x10 + 73x8 - 124x6 + 55x4 - 27x2 + 1 \( 11^{16}\cdot 109^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial
20.8.6486179365988627137555921.1 x20 - 7x19 + 24x18 - 57x17 + 109x16 - 169x15 + 180x14 - 117x13 + 63x12 - 44x11 - 32x10 + 154x9 - 177x8 + 78x7 + 42x6 - 81x5 + 35x4 + 14x3 - 16x2 - 2x + 1 \( 11^{16}\cdot 109^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial
20.12.49338146756019243307761664.1 x20 - 8x19 + 26x18 - 40x17 + 14x16 + 76x15 - 296x14 + 658x13 - 577x12 - 362x11 + 906x10 - 866x9 + 2214x8 - 3458x7 + 1784x6 + 564x5 - 1042x4 + 542x3 - 158x2 + 22x - 1 \( 2^{30}\cdot 11^{16} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial (GRH)
20.12.49338146756019243307761664.2 x20 - 4x19 - 4x18 + 24x17 + 18x16 - 92x15 - 52x14 + 388x13 - 411x12 - 122x11 + 92x10 + 1352x9 - 1651x8 - 314x7 + 986x6 + 46x5 - 275x4 - 14x3 + 32x2 + 2x - 1 \( 2^{30}\cdot 11^{16} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial (GRH)
20.0.203681981950950327645213870961.1 x20 - 2x19 + 28x18 - 49x17 + 299x16 - 440x15 + 1587x14 - 1735x13 + 3660x12 - 2792x11 + 4305x10 - 5140x9 + 6147x8 - 1757x7 + 3498x6 - 3970x5 - 1705x4 + 1606x3 + 176x2 - 121x + 11 \( 11^{16}\cdot 1451^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial
20.0.203681981950950327645213870961.2 x20 - 8x19 + 55x18 - 247x17 + 972x16 - 3008x15 + 8238x14 - 18705x13 + 37604x12 - 63382x11 + 93279x10 - 111873x9 + 112680x8 - 83184x7 + 45374x6 - 11082x5 - 5227x4 + 8834x3 - 3846x2 + 1831x + 2837 \( 11^{16}\cdot 1451^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial
20.20.3165599696740582502041142585281.1 x20 - 7x19 - 12x18 + 158x17 - 22x16 - 1371x15 + 815x14 + 5755x13 - 3754x12 - 12200x11 + 6629x10 + 13087x9 - 5692x8 - 7261x7 + 2391x6 + 2072x5 - 418x4 - 294x3 + 17x2 + 16x + 1 \( 11^{16}\cdot 43^{4}\cdot 67^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial (GRH)
20.20.3165599696740582502041142585281.2 x20 - 2x19 - 33x18 + 54x17 + 399x16 - 470x15 - 2298x14 + 1592x13 + 6862x12 - 2024x11 - 10603x10 + 385x9 + 8089x8 + 480x7 - 3142x6 - 173x5 + 625x4 + 2x3 - 55x2 + 3x + 1 \( 11^{16}\cdot 43^{4}\cdot 67^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial (GRH)


Download all search results for