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Label Polynomial Discriminant Galois group Class group
10.0.553343099.1 x10 - 2x9 + 2x8 - x7 - x5 + 4x4 - 5x3 + 5x2 - 3x + 1 \( -\,19\cdot 293\cdot 99397 \) $S_{10}$ (as 10T45) trivial
10.2.960883181.1 x10 - x9 - 2x8 + 2x7 + 3x6 - x5 - 3x4 - x3 + 1 \( 19\cdot 47\cdot 1076017 \) $S_{10}$ (as 10T45) trivial
10.2.1092986533.1 x10 - x9 - x8 + 2x7 + x6 - 3x5 - x4 + 3x3 + x2 - 2x - 1 \( 19\cdot 1019\cdot 56453 \) $S_{10}$ (as 10T45) trivial
10.0.1132317616.1 x10 - x9 + 3x8 - 3x7 + 5x6 - 6x5 + 6x4 - 5x3 + 4x2 - 3x + 1 \( -\,2^{4}\cdot 19\cdot 59\cdot 63131 \) $S_{10}$ (as 10T45) trivial
10.0.1155602572.1 x10 - 2x9 + 2x8 - x7 - 2x6 + 3x5 + 2x2 + 1 \( -\,2^{2}\cdot 19\cdot 2243\cdot 6779 \) $S_{10}$ (as 10T45) trivial
10.2.1420436789.1 x10 - x9 + 2x7 - 4x6 + 3x5 + 3x4 - 6x3 + x2 + 3x - 1 \( 19\cdot 61\cdot 1225571 \) $S_{10}$ (as 10T45) trivial
10.2.1566975581.1 x10 - 3x9 + 6x8 - 5x7 + 9x5 - 16x4 + 16x3 - 11x2 + 5x - 1 \( 19\cdot 53\cdot 1556083 \) $S_{10}$ (as 10T45) trivial
10.2.1589788577.1 x10 - x9 - x8 + 2x6 - 2x4 + 2x3 + x2 - 2x - 1 \( 13^{2}\cdot 19\cdot 89\cdot 5563 \) $S_{10}$ (as 10T45) trivial
10.0.1639662247.1 x10 - 3x9 + 6x8 - 9x7 + 11x6 - 10x5 + 9x4 - 5x3 + 3x2 + 1 \( -\,19\cdot 86298013 \) $S_{10}$ (as 10T45) trivial
10.0.1648963279.1 x10 + 2x8 - x7 + 3x6 - 2x5 + 3x4 - 3x3 + 2x2 - x + 1 \( -\,19\cdot 86787541 \) $S_{10}$ (as 10T45) trivial
10.2.1707677117.1 x10 - x9 - 3x8 + x7 + 4x6 + 2x5 - 3x4 - 2x3 + 2x2 - x - 1 \( 19\cdot 89877743 \) $S_{10}$ (as 10T45) trivial
10.0.1788072007.1 x10 - 3x9 + 6x8 - 10x7 + 14x6 - 13x5 + 8x4 - 5x3 + 6x2 - 5x + 2 \( -\,19\cdot 449\cdot 209597 \) $S_{10}$ (as 10T45) trivial
10.0.1791582067.1 x10 - 2x9 + x8 + 2x7 - 2x6 - 2x5 + 4x4 - x3 - x2 + 1 \( -\,11\cdot 19\cdot 8572163 \) $S_{10}$ (as 10T45) trivial
10.2.1897391053.1 x10 - x9 - x8 + 4x7 - x6 - 4x5 + x4 + 3x3 - 2x + 1 \( 19\cdot 31\cdot 271\cdot 11887 \) $S_{10}$ (as 10T45) trivial
10.0.2092573607.1 x10 - 2x9 + 4x7 - 4x6 + 4x4 - 2x3 - x + 1 \( -\,19\cdot 89\cdot 109\cdot 11353 \) $S_{10}$ (as 10T45) trivial
10.2.2121596069.1 x10 - 2x9 + 2x8 - 2x7 + 4x6 - 8x5 + 11x4 - 11x3 + 7x2 - 4x + 1 \( 19\cdot 239\cdot 467209 \) $S_{10}$ (as 10T45) trivial
10.2.2145330413.1 x10 - x9 + x8 + x6 - 3x5 + 5x4 - x3 - 2x2 - x - 1 \( 19\cdot 112912127 \) $S_{10}$ (as 10T45) trivial
10.0.2149116391.1 x10 - x9 - x7 + 2x6 + x5 - x4 - x3 + x + 1 \( -\,19^{2}\cdot 139\cdot 42829 \) $S_{10}$ (as 10T45) trivial
10.2.2256405629.1 x10 - x9 + 3x7 - 4x6 + 2x5 + 2x4 - 5x3 + 6x2 - 4x + 1 \( 19\cdot 937\cdot 126743 \) $S_{10}$ (as 10T45) trivial
10.2.2258711621.1 x10 - 2x8 + 2x6 - 2x5 - 2x4 + 3x3 + 3x2 - x - 1 \( 19\cdot 1913\cdot 62143 \) $S_{10}$ (as 10T45) trivial
10.0.2289921667.1 x10 - 2x9 + 3x8 - 5x7 + 5x6 - 5x5 + 6x4 - 4x3 + 3x2 - 2x + 1 \( -\,11\cdot 19\cdot 2213\cdot 4951 \) $S_{10}$ (as 10T45) trivial
10.0.2293895099.1 x10 - 2x9 + x8 - x7 + 2x6 + 2x5 - 3x4 - x3 + x + 1 \( -\,19\cdot 29\cdot 4163149 \) $S_{10}$ (as 10T45) trivial
10.0.2304285743.1 x10 - 2x9 + 4x8 - 5x7 + 7x6 - 4x5 + 7x4 - 3x3 + 5x2 - 2x + 1 \( -\,19^{2}\cdot 6383063 \) $S_{10}$ (as 10T45) trivial
10.2.2346745157.1 x10 - x9 - 2x8 + x7 + 5x6 + x5 - 7x4 - 5x3 + 3x2 + 4x + 1 \( 19\cdot 123512903 \) $S_{10}$ (as 10T45) trivial
10.0.2356756979.1 x10 - x9 + 3x8 - 5x7 + 7x6 - 8x5 + 9x4 - 9x3 + 6x2 - 3x + 1 \( -\,19\cdot 124039841 \) $S_{10}$ (as 10T45) trivial
10.0.2368913027.1 x10 - x9 + 4x8 - 5x7 + 9x6 - 8x5 + 11x4 - 6x3 + 6x2 - x + 1 \( -\,13\cdot 19\cdot 719\cdot 13339 \) $S_{10}$ (as 10T45) trivial
10.0.2371660807.1 x10 - x9 + 2x8 - x7 + 3x6 + x2 + 2x + 1 \( -\,19\cdot 124824253 \) $S_{10}$ (as 10T45) trivial
10.2.2427005413.1 x10 - 2x9 + x8 + x7 - 2x4 + 2x3 - x2 - 2x + 1 \( 7\cdot 19\cdot 18248161 \) $S_{10}$ (as 10T45) trivial
10.0.2500560227.1 x10 - 2x7 - x6 - x5 + 2x4 + x2 + 1 \( -\,11^{2}\cdot 19\cdot 1087673 \) $S_{10}$ (as 10T45) trivial
10.0.2522777839.1 x10 - 2x9 + 2x8 + 2x6 - 5x5 + 6x4 - 2x2 + x + 1 \( -\,19\cdot 23\cdot 1297\cdot 4451 \) $S_{10}$ (as 10T45) trivial
10.0.2543800199.1 x10 - x9 + x8 + x7 + x5 + x4 + 3x2 - x + 1 \( -\,19\cdot 1237\cdot 108233 \) $S_{10}$ (as 10T45) trivial
10.2.2707200161.1 x10 - x9 - x8 + 3x7 - 3x5 + 5x4 - 2x3 - 3x2 + 3x - 1 \( 19\cdot 1301\cdot 109519 \) $S_{10}$ (as 10T45) trivial
10.0.2714112019.1 x10 - 2x9 + 5x8 - 7x7 + 10x6 - 11x5 + 14x4 - 11x3 + 8x2 - 3x + 1 \( -\,19\cdot 463\cdot 308527 \) $S_{10}$ (as 10T45) trivial
10.2.2728633909.1 x10 - x9 - 3x8 + 4x7 + 2x6 - 5x5 + 2x4 + 4x3 - 2x2 - 2x + 1 \( 17\cdot 19\cdot 8447783 \) $S_{10}$ (as 10T45) trivial
10.0.2756899867.1 x10 - 3x9 + 4x8 - 4x7 + 4x6 - 4x5 + 3x4 - x + 1 \( -\,19\cdot 89\cdot 263\cdot 6199 \) $S_{10}$ (as 10T45) trivial
10.0.2801442859.1 x10 + 2x6 - 3x5 - 3x4 + x2 + 2x + 1 \( -\,19\cdot 3499\cdot 42139 \) $S_{10}$ (as 10T45) trivial
10.2.2863923029.1 x10 + x8 - x7 - 3x5 - 2x3 + 2x2 + 1 \( 11\cdot 19\cdot 13702981 \) $S_{10}$ (as 10T45) trivial
10.0.2880779012.1 x10 - 2x9 + 4x8 - 5x7 + 4x6 - x4 + 3x2 - 3x + 1 \( -\,2^{2}\cdot 19\cdot 37904987 \) $S_{10}$ (as 10T45) trivial
10.2.2939501381.1 x10 - 3x9 + 7x8 - 9x7 + 10x6 - 5x5 - x4 + 4x3 - 6x2 + 4x - 1 \( 19\cdot 154710599 \) $S_{10}$ (as 10T45) trivial
10.2.2985678373.1 x10 - x9 - 2x8 + 5x7 - x6 - 5x5 + 5x4 - 3x2 + x + 1 \( 19\cdot 2663\cdot 59009 \) $S_{10}$ (as 10T45) trivial
10.0.3018472696.1 x10 - x9 + 3x8 - x7 + 5x5 - 2x4 + 2x3 + 3x2 - x + 1 \( -\,2^{3}\cdot 19\cdot 223\cdot 89051 \) $S_{10}$ (as 10T45) trivial
10.0.3213917887.1 x10 - 2x9 + x6 + 2x5 - 3x3 + 2x + 1 \( -\,19\cdot 233\cdot 725981 \) $S_{10}$ (as 10T45) trivial
10.0.3253853132.1 x10 - x9 + x8 + x7 - 3x6 + 4x5 - x4 - 2x3 + 3x2 - 2x + 1 \( -\,2^{2}\cdot 19\cdot 331\cdot 129347 \) $S_{10}$ (as 10T45) trivial
10.2.3266441677.1 x10 - 2x7 + x5 - x4 - 6x3 - 7x2 - 4x - 1 \( 19\cdot 79\cdot 83\cdot 157\cdot 167 \) $S_{10}$ (as 10T45) trivial
10.0.3292060327.1 x10 - 2x9 + 5x8 - 5x7 + 8x6 - 6x5 + 8x4 - 5x3 + 4x2 - 2x + 1 \( -\,19\cdot 373\cdot 464521 \) $S_{10}$ (as 10T45) trivial
10.2.3340705685.1 x10 - 3x9 + 3x8 + 2x7 - 8x6 + 12x5 - 15x4 + 17x3 - 13x2 + 6x - 1 \( 5\cdot 19\cdot 35165323 \) $S_{10}$ (as 10T45) trivial
10.2.3344670149.1 x10 - x9 - x8 + 3x7 - x6 - 4x5 + 7x4 - 5x3 + x - 1 \( 19\cdot 176035271 \) $S_{10}$ (as 10T45) trivial
10.2.3357745037.1 x10 - x9 - 3x8 + 3x7 + 3x6 - 5x5 - 3x4 + 5x3 + x2 - 3x + 1 \( 19\cdot 176723423 \) $S_{10}$ (as 10T45) trivial
10.2.3453833053.1 x10 - 2x9 + x8 + 2x7 - 5x6 + 8x5 - 9x4 + 8x3 - 5x2 + 3x - 1 \( 11\cdot 19\cdot 3853\cdot 4289 \) $S_{10}$ (as 10T45) trivial
10.2.3506817365.1 x10 - 3x7 + 3x6 - 3x5 + 5x4 - 5x3 + 3x2 - 3x + 1 \( 5\cdot 19\cdot 36913867 \) $S_{10}$ (as 10T45) trivial
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