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Results (displaying all 16 matches)

Label Polynomial Discriminant Galois group Class group
20.0.25567174371986127192064.3 x20 - 2x19 + 8x17 - x16 + 12x15 - 14x14 - 26x13 + 97x12 - 10x11 - 146x10 + 62x9 + 87x8 - 42x7 - 20x6 - 10x5 + 4x4 + 22x3 + 4x2 - 2x + 1 \( 2^{30}\cdot 47^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) Trivial
20.0.25567174371986127192064.4 x20 - 2x19 + 2x18 - 8x17 + 7x16 - 18x15 + 50x14 - 26x13 + 91x12 - 112x11 + 22x10 - 196x9 + 66x8 - 70x7 + 178x6 + 80x5 + 109x4 + 72x3 + 22x2 + 6x + 1 \( 2^{30}\cdot 47^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) Trivial
20.0.487396615698744004253529.1 x20 - x19 - 2x17 + 3x16 - 6x15 + 11x14 + 10x13 + 15x12 - 19x11 - 15x10 - 19x9 + 15x8 + 10x7 + 11x6 - 6x5 + 3x4 - 2x3 - x + 1 \( 3^{6}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) Trivial
20.8.487396615698744004253529.1 x20 - 2x19 - 3x18 - x17 + 28x16 - 3x15 - 102x14 + 56x13 + 145x12 - 48x11 - 143x10 - 48x9 + 145x8 + 56x7 - 102x6 - 3x5 + 28x4 - x3 - 3x2 - 2x + 1 \( 3^{6}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) Trivial (GRH)
20.4.902411700626978313709081.1 x20 - 4x19 + 10x18 - 25x17 + 35x16 + 6x15 - 83x14 + 92x13 - 11x12 + 6x11 - 238x10 + 614x9 - 793x8 + 576x7 - 202x6 + 7x5 + 19x3 - 9x2 - x + 1 \( 29^{6}\cdot 79^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) Trivial
20.4.902411700626978313709081.2 x20 - 7x19 + 18x18 - 24x17 + 27x16 - 6x15 - 115x14 + 300x13 - 477x12 + 729x11 - 893x10 + 729x9 - 477x8 + 300x7 - 115x6 - 6x5 + 27x4 - 24x3 + 18x2 - 7x + 1 \( 29^{6}\cdot 79^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) Trivial
20.8.39479125871598264344535849.1 x20 - 5x19 + 6x18 + 12x17 - 49x16 + 60x15 + 29x14 - 185x13 + 158x12 + 90x11 - 125x10 + 32x9 - 157x8 - 41x7 + 245x6 + 79x5 - 125x4 - 48x3 - 3x2 + 36x - 9 \( 3^{10}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) Trivial
20.4.3101676347663598183510015625.1 x20 - 7x19 + 12x18 + 21x17 - 92x16 + 90x15 + 10x14 + 17x13 - 240x12 - 30x11 + 1136x10 - 1437x9 + 246x8 + 1018x7 - 1301x6 - 123x5 + 581x4 + 101x3 - 124x2 - 5x - 7 \( 5^{6}\cdot 19^{8}\cdot 43^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) Trivial
20.4.3101676347663598183510015625.2 x20 - 2x19 - x18 - 6x17 + 3x16 - 24x15 + 29x14 + 52x13 + 53x12 - 50x11 - 105x10 - 50x9 + 53x8 + 52x7 + 29x6 - 24x5 + 3x4 - 6x3 - x2 - 2x + 1 \( 5^{6}\cdot 19^{8}\cdot 43^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) Trivial
20.4.3227119850787707611010935609.1 x20 - 10x19 + 51x18 - 174x17 + 457x16 - 1004x15 + 2090x14 - 4404x13 + 9061x12 - 16718x11 + 25692x10 - 31545x9 + 29472x8 - 19118x7 + 6032x6 + 2834x5 - 4787x4 + 2797x3 - 779x2 + 52x + 13 \( 13^{6}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) Trivial
20.0.8342980789200728697677418496.1 x20 + 2x18 + 20x16 + 130x14 + 441x12 + 764x10 + 710x8 + 388x6 + 129x4 + 22x2 + 1 \( 2^{12}\cdot 1093^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) Trivial
20.4.511072393702926193004148424704.1 x20 - 3x18 - 19x14 + 217x12 - 539x10 + 601x8 - 395x6 + 184x4 - 75x2 + 9 \( 2^{20}\cdot 3^{6}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) Trivial (GRH)
20.0.4558245923829641289021197123584.1 x20 - 4x18 + 10x16 - 42x14 + 181x12 - 580x10 + 1629x8 - 3402x6 + 7290x4 - 26244x2 + 59049 \( 2^{18}\cdot 1429^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) $[4]$ (GRH)
20.0.4558245923829641289021197123584.2 x20 - 4x18 + 9x16 - 6x14 - 16x12 + 64x10 - 64x8 - 96x6 + 576x4 - 1024x2 + 1024 \( 2^{18}\cdot 1429^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) $[3]$ (GRH)
20.20.523338131151796421636247986896896.1 x20 - 48x18 - 4x17 + 791x16 + 388x15 - 5942x14 - 5434x13 + 20419x12 + 26248x11 - 27774x10 - 48164x9 + 10210x8 + 34834x7 + 2876x6 - 9850x5 - 1887x4 + 804x3 + 128x2 - 22x - 1 \( 2^{30}\cdot 3^{6}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) Trivial (GRH)
20.20.523338131151796421636247986896896.2 x20 - 4x19 - 40x18 + 102x17 + 648x16 - 766x15 - 4924x14 + 1598x13 + 18403x12 + 3110x11 - 34284x10 - 16388x9 + 29257x8 + 20366x7 - 8578x6 - 7620x5 + 989x4 + 1070x3 - 46x2 - 42x - 1 \( 2^{30}\cdot 3^{6}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T85) Trivial (GRH)


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