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Results (displaying all 18 matches)

Label Polynomial Discriminant Galois group Class group
20.0.2941196258837390453449.1 x20 - 6x19 + 24x18 - 72x17 + 177x16 - 363x15 + 637x14 - 973x13 + 1307x12 - 1556x11 + 1649x10 - 1556x9 + 1307x8 - 973x7 + 637x6 - 363x5 + 177x4 - 72x3 + 24x2 - 6x + 1 \( 11^{18}\cdot 23^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial
20.0.10280287112647136008369.1 x20 - 7x19 + 26x18 - 65x17 + 121x16 - 188x15 + 271x14 - 367x13 + 450x12 - 495x11 + 507x10 - 495x9 + 450x8 - 367x7 + 271x6 - 188x5 + 121x4 - 65x3 + 26x2 - 7x + 1 \( 11^{18}\cdot 43^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial
20.0.44040105040171965561001.1 x20 - 8x19 + 30x18 - 67x17 + 99x16 - 98x15 + 58x14 - 3x13 - 34x12 + 44x11 - 43x10 + 44x9 - 34x8 - 3x7 + 58x6 - 98x5 + 99x4 - 67x3 + 30x2 - 8x + 1 \( 11^{18}\cdot 89^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial
20.0.609150100783522373289841.1 x20 - 9x19 + 44x18 - 151x17 + 402x16 - 891x15 + 1714x14 - 2897x13 + 4334x12 - 5781x11 + 6874x10 - 7262x9 + 6798x8 - 5580x7 + 3943x6 - 2365x5 + 1168x4 - 436x3 + 110x2 - 16x + 1 \( 11^{18}\cdot 331^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial
20.0.11705855471743857652328881.1 x20 - 9x19 + 37x18 - 102x17 + 247x16 - 562x15 + 1098x14 - 1852x13 + 2918x12 - 4196x11 + 5369x10 - 7216x9 + 10494x8 - 11957x7 + 7403x6 + 22x5 - 3025x4 + 1089x3 + 726x2 - 605x + 121 \( 11^{18}\cdot 1451^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial
20.0.13932535636789734453691609.1 x20 - 3x19 - 4x18 + 18x17 + 9x16 - 52x15 - 27x14 + 86x13 + 104x12 - 66x11 - 263x10 - 132x9 + 416x8 + 688x7 - 432x6 - 1664x5 + 576x4 + 2304x3 - 1024x2 - 1536x + 1024 \( 11^{18}\cdot 1583^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial
20.8.237377022439742902041015625.1 x20 - 3x19 - 3x18 + 18x17 - 32x16 + 19x15 + 6x14 - 95x13 + 112x12 + 21x11 - 169x10 - 21x9 + 112x8 + 95x7 + 6x6 - 19x5 - 32x4 - 18x3 - 3x2 + 3x + 1 \( 5^{10}\cdot 11^{16}\cdot 23^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial (GRH)
20.8.829697758962352789931640625.1 x20 - 2x19 - 4x18 + 20x17 - 54x16 + 69x15 - 31x14 - 59x13 + 99x12 - 92x11 - 33x10 + 92x9 + 99x8 + 59x7 - 31x6 - 69x5 - 54x4 - 20x3 - 4x2 + 2x + 1 \( 5^{10}\cdot 11^{16}\cdot 43^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial (GRH)
20.4.3554373146966358274228515625.1 x20 - 4x19 + 5x18 - 16x17 + 15x16 - 18x15 + 5x14 + 31x13 - 76x12 + 67x11 - 231x10 - 67x9 - 76x8 - 31x7 + 5x6 + 18x5 + 15x4 + 16x3 + 5x2 + 4x + 1 \( 5^{10}\cdot 11^{16}\cdot 89^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) $[2]$ (GRH)
20.12.5331335356534187937900390625.1 x20 - 3x19 - 6x18 + 7x17 - 4x16 + 21x15 + 167x14 + 125x13 - 363x12 - 648x11 - 158x10 + 261x9 + 198x8 + 79x7 - 102x6 - 76x5 + 65x4 + 14x3 - 19x2 + x + 1 \( 5^{10}\cdot 11^{16}\cdot 109^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial (GRH)
20.16.5969915757478328440239161344.1 x20 - 2x19 - 20x18 + 44x17 + 106x16 - 234x15 - 294x14 + 638x13 + 379x12 - 1044x11 + 10x10 + 1102x9 - 519x8 - 814x7 + 466x6 + 410x5 - 135x4 - 110x3 + 6x2 + 10x + 1 \( 2^{30}\cdot 11^{18} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial (GRH)
20.12.10779662339431083287111532544.1 x20 - 15x18 + 82x16 - 240x14 + 443x12 - 551x10 + 455x8 - 236x6 + 75x4 - 14x2 + 1 \( 2^{20}\cdot 11^{18}\cdot 43^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial (GRH)
20.4.46179397182603358960092184576.1 x20 + 11x18 + 55x16 + 132x14 + 55x12 - 385x10 - 484x8 + 363x6 + 484x4 - 1936x2 + 121 \( 2^{20}\cdot 11^{18}\cdot 89^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) $[2]$ (GRH)
20.16.49163069859207319641806640625.1 x20 - x19 - 19x18 + 30x17 + 98x16 - 232x15 - 135x14 + 834x13 - 121x12 - 1724x11 + 117x10 + 1990x9 + 583x8 - 1038x7 - 702x6 + 210x5 + 271x4 - 18x3 - 39x2 + 3x + 1 \( 5^{10}\cdot 11^{16}\cdot 331^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial (GRH)
20.0.944752023481393470132431640625.1 x20 + 7x18 + 62x16 + 176x14 + 839x12 + 403x10 + 4183x8 - 7656x6 + 17915x4 - 38130x2 + 39601 \( 5^{10}\cdot 11^{16}\cdot 1451^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) $[30]$ (GRH)
20.0.1124462134942353310118447265625.1 x20 - 4x19 + 20x18 - 60x17 + 170x16 - 371x15 + 715x14 - 1078x13 + 1399x12 - 1034x11 + 1299x10 + 2068x9 + 5596x8 + 8624x7 + 11440x6 + 11872x5 + 10880x4 + 7680x3 + 5120x2 + 2048x + 1024 \( 5^{10}\cdot 11^{16}\cdot 1583^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) $[33]$ (GRH)
20.20.3158085435706035744886516350976.1 x20 - 2x19 - 32x18 + 70x17 + 385x16 - 936x15 - 2110x14 + 6016x13 + 4715x12 - 19030x11 - 340x10 + 26928x9 - 9892x8 - 14294x7 + 6850x6 + 3640x5 - 1617x4 - 514x3 + 126x2 + 36x + 1 \( 2^{30}\cdot 11^{18}\cdot 23^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial (GRH)
20.20.3724513239982001674003134765625.1 x20 - 2x19 - 35x18 + 82x17 + 414x16 - 1076x15 - 2213x14 + 6605x13 + 5177x12 - 20965x11 - 1727x10 + 33661x9 - 12282x8 - 23057x7 + 16581x6 + 3122x5 - 5900x4 + 1710x3 - 71x2 - 25x + 1 \( 5^{10}\cdot 11^{16}\cdot 43^{2}\cdot 67^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial (GRH)


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