Learn more about

Further refine search

Results (displaying all 21 matches)

Label Polynomial Discriminant Galois group Class group
14.0.11856232199187.1 x14 - x13 + x12 - x10 - x9 + x8 - x7 - x6 + 3x5 - 2x4 + x3 + x2 - x + 1 \( -\,3^{7}\cdot 5421231001 \) 14T61 Trivial
14.0.12985240103739.1 x14 - x13 + x12 - 4x11 + 4x10 - 2x9 + 5x8 - 6x7 + 2x6 - 2x5 + 5x4 - 2x3 - x + 1 \( -\,3^{7}\cdot 5937466897 \) 14T61 Trivial
14.2.63097400703125.1 x14 - 3x13 + 2x12 + 4x11 - 8x10 + 2x9 + 8x8 - 10x7 + x6 + 7x5 - 6x4 + x3 + 2x2 - x + 1 \( 5^{7}\cdot 807646729 \) 14T61 Trivial
14.2.94724481953125.1 x14 - x13 - 2x12 + 5x11 + 2x10 - 9x9 + 2x8 + 10x7 - 6x6 - 6x5 + 7x4 + x3 - 4x2 + 1 \( 5^{7}\cdot 199\cdot 6092831 \) 14T61 Trivial
14.4.297261105546875.1 x14 - 3x12 - x11 + 5x10 + 3x9 - 6x8 - 6x7 + 3x6 + 7x5 - 4x3 - 2x2 + x + 1 \( -\,5^{7}\cdot 89\cdot 971\cdot 44029 \) 14T61 Trivial
14.4.411650990546875.1 x14 - 3x12 - 2x11 + 5x10 + 4x9 - 6x8 - 7x7 + 7x6 + 9x5 - 4x4 - 6x3 + 2x2 + 2x - 1 \( -\,5^{7}\cdot 24851\cdot 212029 \) 14T61 Trivial
14.6.3025316848515625.1 x14 - 2x13 - 3x12 + 11x11 - 4x10 - 19x9 + 23x8 + 6x7 - 29x6 + 14x5 + 11x4 - 14x3 + 2x2 + 3x - 1 \( 5^{7}\cdot 89\cdot 435101749 \) 14T61 Trivial
14.6.3272179634453125.1 x14 - x13 - 2x12 + 6x11 - 4x10 - 6x9 + 12x8 - 6x7 - 5x6 + 9x5 - 4x4 - 2x3 + 3x2 - x - 1 \( 5^{7}\cdot 11\cdot 191\cdot 19935221 \) 14T61 Trivial
14.6.3957778157890625.1 x14 - x13 - 2x12 + 4x11 - 4x10 + 8x8 - 11x7 + 4x6 + 3x5 - 8x4 + 7x3 - x2 - 2x + 1 \( 5^{7}\cdot 50659560421 \) 14T61 Trivial
14.6.5527623146930176.1 x14 - 2x13 - x12 + 8x11 - 11x10 + 17x8 - 22x7 + 6x6 + 12x5 - 15x4 + 6x3 + x2 - 2x + 1 \( 2^{21}\cdot 2635776113 \) 14T61 Trivial
14.8.11012732926484375.1 x14 - 2x13 - 2x12 + 10x11 - 8x10 - 12x9 + 23x8 - 7x7 - 16x6 + 18x5 - 8x3 + 4x2 + x - 1 \( -\,5^{7}\cdot 41\cdot 229\cdot 349\cdot 43019 \) 14T61 Trivial
14.8.16266899635859375.1 x14 - 5x13 + 7x12 - 4x11 + 15x10 - 22x9 - 11x8 + 23x7 - 9x6 + 16x5 - 6x3 - 2x2 - 3x - 1 \( -\,5^{7}\cdot 5011\cdot 41551849 \) 14T61 Trivial
14.10.51074220604765625.1 x14 - x13 - 6x12 + 5x11 + 14x10 - 19x9 - 2x8 + 42x7 - 35x6 - 44x5 + 40x4 + 19x3 - 12x2 - 2x + 1 \( 5^{7}\cdot 859\cdot 761059399 \) 14T61 Trivial
14.10.150223723038203125.1 x14 - 2x13 - 10x12 + 23x11 + 31x10 - 96x9 - 18x8 + 176x7 - 64x6 - 133x5 + 99x4 + 21x3 - 37x2 + 11x - 1 \( 5^{7}\cdot 44959\cdot 42769271 \) 14T61 Trivial
14.10.214655123975078125.1 x14 - 3x13 - 4x12 + 21x11 - 6x10 - 50x9 + 45x8 + 46x7 - 70x6 - 10x5 + 46x4 - 4x3 - 13x2 + x + 1 \( 5^{7}\cdot 2747585586881 \) 14T61 Trivial
14.10.298720649203203125.1 x14 - 12x12 - x11 + 54x10 + 8x9 - 116x8 - 22x7 + 127x6 + 25x5 - 69x4 - 11x3 + 15x2 + x - 1 \( 5^{7}\cdot 31\cdot 79\cdot 1561300249 \) 14T61 Trivial
14.12.404015475709296875.1 x14 - 2x13 - 11x12 + 19x11 + 49x10 - 67x9 - 111x8 + 108x7 + 131x6 - 78x5 - 74x4 + 20x3 + 16x2 - x - 1 \( -\,5^{7}\cdot 549979\cdot 9402901 \) 14T61 Trivial
14.8.417195690175859375.1 x14 - 3x13 - 5x12 + 18x11 + 14x10 - 52x9 - 27x8 + 91x7 + 31x6 - 86x5 - 11x4 + 40x3 - 3x2 - 8x + 1 \( -\,5^{7}\cdot 11\cdot 2939\cdot 5351\cdot 30869 \) 14T61 Trivial
14.12.541778530793046875.1 x14 - 2x13 - 5x12 + 8x11 + 4x10 + 15x9 + 4x8 - 110x7 + 29x6 + 163x5 - 83x4 - 68x3 + 52x2 - 6x - 1 \( -\,5^{7}\cdot 93739\cdot 73979509 \) 14T61 Trivial
14.14.19852344578500703125.1 x14 - 3x13 - 10x12 + 30x11 + 37x10 - 107x9 - 63x8 + 172x7 + 46x6 - 130x5 - 7x4 + 43x3 - 4x2 - 5x + 1 \( 5^{7}\cdot 89\cdot 2371\cdot 1204204411 \) 14T61 Trivial (GRH)
14.14.45782583872342265625.1 x14 - 2x13 - 12x12 + 21x11 + 56x10 - 84x9 - 127x8 + 161x7 + 142x6 - 153x5 - 69x4 + 67x3 + 9x2 - 10x + 1 \( 5^{7}\cdot 15749\cdot 37209795769 \) 14T61 Trivial (GRH)


Download all search results for