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Label Polynomial Discriminant Galois group Class group
10.0.405013523.1 x10 - 2x9 + x8 - x7 + 2x6 - 3x5 + 3x4 - 3x3 + 4x2 - 2x + 1 \( -\,47^{4}\cdot 83 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.522125867.1 x10 - x9 - x7 + 2x6 - 2x5 + x3 + 2x2 - 2x + 1 \( -\,47^{4}\cdot 107 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.561163315.1 x10 - x9 + 2x8 - 2x7 + 4x6 - 3x5 + 4x4 - 2x3 + 2x2 - x + 1 \( -\,5\cdot 23\cdot 47^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.873462899.1 x10 - 3x8 - x7 + 6x6 + 3x5 - 6x4 - 5x3 + 2x2 + 3x + 1 \( -\,47^{4}\cdot 179 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.932019071.1 x10 - 2x8 - x7 + 3x6 + 2x5 - 2x4 - 2x3 + 2x2 + 3x + 1 \( -\,47^{4}\cdot 191 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.941778433.1 x10 - x9 - x8 + 3x7 - x6 - 2x5 + 3x4 - x3 - x2 - 1 \( 47^{4}\cdot 193 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.961297157.1 x10 - x9 - 2x8 + 4x6 + x5 - 4x4 + 2x2 - x - 1 \( 47^{4}\cdot 197 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.1129552349.1 x10 - 3x9 + x8 + 5x7 - 5x6 - 3x5 + 4x4 + x3 - x - 1 \( 29\cdot 79^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.1146725035.1 x10 - x9 + x8 - 2x7 + 4x6 + x4 - 2x3 + x2 + x + 1 \( -\,5\cdot 47^{5} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.1205281207.1 x10 - x9 + 2x8 - x7 + 5x6 + x5 + 5x4 - x3 + 2x2 - x + 1 \( -\,13\cdot 19\cdot 47^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.1312634189.1 x10 - 3x8 - 3x7 + 2x6 + 8x5 + 2x4 - 6x3 - 3x2 + 2x + 1 \( 47^{4}\cdot 269 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.1341912275.1 x10 - x9 - x8 - 2x7 + x6 + 3x5 + 3x4 - x3 - 2x2 - x + 1 \( -\,5^{2}\cdot 11\cdot 47^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.1556618239.1 x10 + 4x8 - 2x7 + 5x6 - 5x5 + 5x4 - 2x3 + 4x2 + 1 \( -\,11\cdot 29\cdot 47^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.1585896325.1 x10 - 3x9 + 4x8 - 6x7 + 8x6 - 7x5 + 7x4 - 4x3 - 2x + 1 \( 5^{2}\cdot 13\cdot 47^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.1634693135.1 x10 - 3x9 + 3x8 + x7 - 4x6 + x5 + 3x4 - 2x3 - x2 + x + 1 \( -\,5\cdot 47^{4}\cdot 67 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.1781083565.1 x10 - 2x9 + 5x8 - 7x7 + 7x6 - 9x5 + 5x4 - 4x3 + 3x2 + x - 1 \( 5\cdot 47^{4}\cdot 73 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.1790842927.1 x10 - 4x9 + 7x8 - 5x7 + x6 - 2x5 + 5x4 - x3 - 3x2 + x + 1 \( -\,47^{4}\cdot 367 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.1830653807.1 x10 - x9 - x8 + 3x7 - 3x6 + 2x5 + 3x4 - 5x3 + 5x2 - 2x + 1 \( -\,47\cdot 79^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.1966511443.1 x10 + 2x8 - x7 + 8x6 - 7x5 + 8x4 - x3 + 2x2 + 1 \( -\,13\cdot 31\cdot 47^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.1986454131.1 x10 - 2x9 + x8 - x7 + 2x3 + 3x2 - 2x + 1 \( -\,3\cdot 17\cdot 79^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.1995789529.1 x10 - x9 + 4x5 - 5x4 + 3x3 - 4x2 + 4x - 1 \( 47^{4}\cdot 409 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.2025067615.1 x10 - x9 + 3x8 - 5x7 + 7x6 - 10x5 + 9x4 - 7x3 + 7x2 - 4x + 1 \( -\,5\cdot 47^{4}\cdot 83 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.2025067615.2 x10 - 2x9 + x8 - 2x7 + 3x6 + x5 - 3x4 + x + 1 \( -\,5\cdot 47^{4}\cdot 83 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.2044586339.1 x10 - 3x9 + 6x8 - 8x7 + 10x6 - 11x5 + 13x4 - 14x3 + 11x2 - 5x + 1 \( -\,47^{4}\cdot 419 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.2142179959.1 x10 - x9 + 5x8 - x7 + 8x6 + 5x5 + 7x4 + 8x3 + 5x2 + 3x + 1 \( -\,47^{4}\cdot 439 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.2200736131.1 x10 - 2x9 + 2x7 - 3x4 - x3 + 2x2 + x + 1 \( -\,11\cdot 41\cdot 47^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.2249532941.1 x10 - 4x9 + 5x8 - x7 - 6x5 + 6x4 + x3 - x2 - 3x + 1 \( 47^{4}\cdot 461 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.2278811027.1 x10 + 2x8 - x7 + 5x6 - 2x5 + 4x4 - 5x3 + 2x2 - 2x + 1 \( -\,47^{4}\cdot 467 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.2308089113.1 x10 - 4x8 - x7 + 3x6 + 4x5 + 4x4 - 6x3 - 4x2 + 3x - 1 \( 11\cdot 43\cdot 47^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.2317848475.1 x10 - 2x9 + 5x8 - 6x7 + 8x6 - 5x5 + 2x4 + 2x3 - 2x2 + x + 1 \( -\,5^{2}\cdot 19\cdot 47^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.2376404647.1 x10 - 2x9 + 2x8 + x7 - 2x6 + 5x5 + 3x4 + 2x3 + 7x2 + 5x + 1 \( -\,47^{4}\cdot 487 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.2453855103.1 x10 - x9 - x7 + 3x6 + 3x5 + 3x4 - x3 - x + 1 \( -\,3^{2}\cdot 7\cdot 79^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.2483757629.1 x10 - x9 - 3x8 + x7 + 7x6 - x5 - 7x4 + x3 + 3x2 - x - 1 \( 47^{4}\cdot 509 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.2522795077.1 x10 - x9 - 2x8 + 8x7 - 12x5 + 7x4 + 4x3 - 7x2 + 2x + 1 \( 11\cdot 47^{5} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.2552073163.1 x10 - 4x9 + 12x8 - 23x7 + 38x6 - 46x5 + 47x4 - 35x3 + 20x2 - 6x + 1 \( -\,47^{4}\cdot 523 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.2864372747.1 x10 - 3x9 + 3x8 - 5x7 + 11x6 - 13x5 + 13x4 - 10x3 + 4x2 - x + 1 \( -\,47^{4}\cdot 587 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.2874132109.1 x10 - 2x9 + 3x8 - x7 - 3x6 + 8x5 - 12x4 + 14x3 - 11x2 + 5x - 1 \( 19\cdot 31\cdot 47^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.2922928919.1 x10 - 2x9 + 2x8 + x7 + 2x6 - 7x5 + 13x4 - 10x3 + 5x2 - x + 1 \( -\,47^{4}\cdot 599 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.2952207005.1 x10 - x9 - x8 + 7x7 - 7x6 + 2x5 + 2x4 - 5x2 + 4x - 1 \( 5\cdot 11^{2}\cdot 47^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.3020522539.1 x10 - x9 + x8 - 4x7 + 5x6 - 6x5 + 7x4 - 5x3 + 6x2 - 4x + 1 \( -\,47^{4}\cdot 619 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.3020522539.2 x10 - x7 + 2x6 + 3x5 + 10x4 + 3x3 + 3x2 + x + 1 \( -\,47^{4}\cdot 619 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.3020522539.3 x10 - x9 + 3x7 - x5 + 5x4 + x2 + 2x + 1 \( -\,47^{4}\cdot 619 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.3020522539.4 x10 - 2x9 + 6x8 - 9x7 + 14x6 - 15x5 + 12x4 - 7x3 + x2 + 3x + 1 \( -\,47^{4}\cdot 619 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.3020522539.5 x10 + 4x8 - 2x7 + 5x6 - 8x5 + 3x4 - 8x3 + 6x2 - x + 5 \( -\,47^{4}\cdot 619 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.3098597435.1 x10 - 3x9 + 9x8 - 15x7 + 23x6 - 25x5 + 23x4 - 15x3 + 9x2 - 3x + 1 \( -\,5\cdot 47^{4}\cdot 127 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.3127875521.1 x10 - 2x9 + 3x8 - 2x7 - 3x6 + 5x5 - 7x4 + 8x3 - 4x2 + 3x - 1 \( 47^{4}\cdot 641 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.3232856723.1 x10 - 2x9 + 2x8 - 2x7 + 2x6 - 2x5 + x4 + 3x3 + x2 + 2x + 1 \( -\,79^{4}\cdot 83 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.3303544037.1 x10 - x9 + 2x8 - x7 - 4x6 + x5 - 5x4 - 3x3 + x2 - x - 1 \( 47^{4}\cdot 677 \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.0.3488971915.1 x10 - 2x9 + 6x8 - 7x7 + 12x6 - 9x5 + 12x4 - 7x3 + 6x2 - 2x + 1 \( -\,5\cdot 11\cdot 13\cdot 47^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
10.2.3537768725.1 x10 - 4x9 + 11x8 - 17x7 + 18x6 - 10x5 - x4 + 5x3 - 8x2 + 5x - 1 \( 5^{2}\cdot 29\cdot 47^{4} \) $C_2\times (C_2^4 : D_5)$ (as 10T23) Trivial
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