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Results (displaying all 14 matches)

Label Polynomial Discriminant Galois group Class group
20.0.362355421972633207561.1 x20 - x19 + 3x18 - 4x17 + 5x16 - 7x15 + 8x14 - x13 + 8x12 - 3x11 + 3x10 + 3x9 - 13x8 + 17x7 + 8x6 - 8x5 + x4 + 4x3 + 1 \( 47^{10}\cdot 83^{2} \) $C_2\times C_2^4:D_5$ (as 20T81) Trivial
20.0.602207464968018231001.1 x20 - 3x19 + 4x18 - 5x17 + 9x16 - 8x15 + 9x14 - 16x13 + 11x12 - 10x11 + 17x10 - 10x9 + 11x8 - 16x7 + 9x6 - 8x5 + 9x4 - 5x3 + 4x2 - 3x + 1 \( 47^{10}\cdot 107^{2} \) $C_2\times C_2^4:D_5$ (as 20T81) Trivial
20.8.967578558036712773184836009.1 x20 - 4x19 + 14x18 - 27x17 + 49x16 - 76x15 + 107x14 - 29x13 - 579x12 + 2022x11 - 4149x10 + 5091x9 - 3109x8 + 158x7 + 1529x6 - 1746x5 + 1053x4 - 385x3 + 92x2 - 14x + 1 \( 3^{2}\cdot 401^{10} \) $C_2\times C_2^4:D_5$ (as 20T81) Trivial (GRH)
20.12.18168975145356050963137476169.1 x20 - 8x19 + 22x18 - 14x17 - 58x16 + 99x15 + 118x14 - 177x13 - 678x12 + 941x11 + 841x10 - 1215x9 - 1358x8 + 1876x7 + 563x6 - 1274x5 + 25x4 + 366x3 - 32x2 - 40x + 1 \( 13^{2}\cdot 401^{10} \) $C_2\times C_2^4:D_5$ (as 20T81) Trivial (GRH)
20.4.31070022585845554605601956289.1 x20 - 4x19 + 2x18 - 13x17 + 73x16 - 114x15 + 34x14 - 256x13 + 1164x12 - 769x11 + 366x10 - 2089x9 + 1974x8 - 852x7 + 355x6 + 585x5 - 444x4 + 236x3 - 208x2 - 32 \( 17^{2}\cdot 401^{10} \) $C_2\times C_2^4:D_5$ (as 20T81) Trivial
20.8.38810651050139256791080644361.1 x20 - 14x18 + 73x16 - 174x14 + 478x12 - 2054x10 + 3079x8 - 3741x6 + 6694x4 - 5384x2 + 961 \( 19^{2}\cdot 401^{10} \) $C_2\times C_2^4:D_5$ (as 20T81) Trivial (GRH)
20.16.78373863200973734627971716729.1 x20 - 2x19 - 17x18 + 30x17 + 84x16 - 196x15 + 49x14 + 931x13 - 1429x12 - 3194x11 + 3803x10 + 6374x9 - 3734x8 - 6819x7 + 689x6 + 3565x5 + 984x4 - 621x3 - 429x2 - 69x - 1 \( 3^{6}\cdot 401^{10} \) $C_2\times C_2^4:D_5$ (as 20T81) Trivial (GRH)
20.12.147179449550251087387782277369.1 x20 - 22x18 + 191x16 - 810x14 + 1693x12 - 1702x10 + 1314x8 - 1954x6 + 1680x4 - 317x2 + 9 \( 37^{2}\cdot 401^{10} \) $C_2\times C_2^4:D_5$ (as 20T81) Trivial (GRH)
20.4.301992018836125131097356038809.1 x20 - 8x19 + 34x18 - 95x17 + 193x16 - 302x15 + 378x14 - 264x13 - 1045x12 + 6861x11 - 23714x10 + 57596x9 - 103758x8 + 138976x7 - 130431x6 + 65930x5 + 21212x4 - 72425x3 + 63448x2 - 27619x + 5041 \( 53^{2}\cdot 401^{10} \) $C_2\times C_2^4:D_5$ (as 20T81) Trivial (GRH)
20.0.482606683002978182091858760489.1 x20 - 12x18 + 78x16 - 152x14 + 59x12 + 425x10 + 2864x8 - 817x6 + 1551x4 + 97x2 + 289 \( 67^{2}\cdot 401^{10} \) $C_2\times C_2^4:D_5$ (as 20T81) $[5]$ (GRH)
20.16.541951501229229898847195369041.1 x20 - 5x19 - 10x18 + 82x17 - 20x16 - 472x15 + 622x14 + 788x13 - 2794x12 + 2880x11 + 3096x10 - 15189x9 + 10351x8 + 24951x7 - 34682x6 - 11884x5 + 36358x4 - 8367x3 - 11666x2 + 6964x - 1087 \( 71^{2}\cdot 401^{10} \) $C_2\times C_2^4:D_5$ (as 20T81) Trivial (GRH)
20.0.3922025930637479853172889160481.1 x20 - 10x19 + 45x18 - 120x17 + 236x16 - 460x15 + 962x14 - 1744x13 + 2560x12 - 3452x11 + 4808x10 - 6402x9 + 7229x8 - 6630x7 + 4107x6 - 492x5 - 708x4 - 394x3 + 1146x2 - 682x + 961 \( 191^{2}\cdot 401^{10} \) $C_2\times C_2^4:D_5$ (as 20T81) $[17]$ (GRH)
20.20.16944343217067584829876535393609.1 x20 - 4x19 - 28x18 + 105x17 + 313x16 - 1091x15 - 1758x14 + 5752x13 + 5124x12 - 16433x11 - 7177x10 + 25301x9 + 3507x8 - 20001x7 + 1135x6 + 7243x5 - 1348x4 - 895x3 + 277x2 - 13x - 1 \( 397^{2}\cdot 401^{10} \) $C_2\times C_2^4:D_5$ (as 20T81) Trivial (GRH)
20.20.32403238330091474061186973105401.1 x20 - 4x19 - 30x18 + 104x17 + 412x16 - 1026x15 - 3328x14 + 4417x13 + 15997x12 - 4955x11 - 40546x10 - 18016x9 + 38071x8 + 41423x7 + 6152x6 - 9501x5 - 5039x4 - 725x3 + 54x2 + 19x + 1 \( 3^{4}\cdot 61^{2}\cdot 401^{10} \) $C_2\times C_2^4:D_5$ (as 20T81) Trivial (GRH)


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