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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
20.0.1723568365103679045632.1 x20 - x19 + x18 - 4x17 - 3x16 + 15x15 + 3x14 - 28x13 + 2x12 + 19x11 + 29x10 - 56x9 + 17x8 - 3x7 + 26x6 - 34x5 + 37x4 - 35x3 + 21x2 - 7x + 1 \( 2^{15}\cdot 47^{10} \) $C_5:D_4$ (as 20T11) Trivial
20.0.310256470675516529082368.1 x20 + 3x18 - 3x16 - 10x14 + 25x12 - 3x10 + 50x8 - 40x6 - 24x4 + 48x2 + 32 \( 2^{15}\cdot 79^{10} \) $C_5:D_4$ (as 20T11) Trivial
20.10.110088938158843764415696897024.1 x20 - 11x18 + 20x16 + 111x14 - 325x12 - 31x10 + 325x8 + 111x6 - 20x4 - 11x2 - 1 \( -\,2^{10}\cdot 401^{10} \) $C_5:D_4$ (as 20T11) Trivial (GRH)
20.20.335964777096080824022512503125.1 x20 - 2x19 - 27x18 + 58x17 + 272x16 - 639x15 - 1245x14 + 3339x13 + 2469x12 - 8464x11 - 1650x10 + 9965x9 + 827x8 - 6081x7 - 914x6 + 1796x5 + 510x4 - 151x3 - 63x2 - x + 1 \( 5^{5}\cdot 401^{10} \) $C_5:D_4$ (as 20T11) Trivial (GRH)
20.0.3522846021083000461302300704768.1 x20 + 8x18 - 12x17 + 60x16 - 150x15 + 288x14 - 666x13 + 1043x12 - 1854x11 + 3542x10 - 3928x9 + 7725x8 - 8380x7 + 17188x6 - 17644x5 + 8749x4 + 7050x3 - 20666x2 + 3320x + 7907 \( 2^{15}\cdot 401^{10} \) $C_5:D_4$ (as 20T11) $[7]$ (GRH)
20.20.3607394325588992472373555921682432.1 x20 - 44x18 + 779x16 - 7195x14 + 37781x12 - 116321x10 + 211202x8 - 221656x6 + 125920x4 - 32976x2 + 2592 \( 2^{25}\cdot 401^{10} \) $C_5:D_4$ (as 20T11) Trivial (GRH)
20.10.6500641709341565444982486072370176.1 x20 - 33x18 + 180x16 + 2997x14 - 26325x12 - 7533x10 + 236925x8 + 242757x6 - 131220x4 - 216513x2 - 59049 \( -\,2^{10}\cdot 3^{10}\cdot 401^{10} \) $C_5:D_4$ (as 20T11) Trivial (GRH)
20.0.17729933579419947102912400962612224.1 x20 - x19 + 17x18 + 65x17 + 90x16 + 770x15 + 2069x14 + 3588x13 + 16293x12 + 15488x11 + 105429x10 + 223263x9 + 472533x8 + 888791x7 + 682047x6 + 1592904x5 + 10772482x4 + 8858817x3 + 13596529x2 + 5680831x + 842147 \( 2^{10}\cdot 11^{5}\cdot 401^{10} \) $C_5:D_4$ (as 20T11) $[382]$ (GRH)


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