-
nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-241, 0, -210, 0, 780, 0, -105, 0, -93, 0, 22, 0, -80, 0, 26, 0, 18, 0, -9, 0, 1], 'conductor': 0, 'degree': 20, 'dirichlet_group': [], 'disc_abs': 658618684118710741619590144, 'disc_rad': 5302, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[10, 1], [5, 2]]], [5, [[10, 2]]], [7, [[10, 2]]], [11, [0]], [13, [[20, 1]]], [17, [[20, 1]]], [19, [[10, 2]]], [23, [[4, 2], [2, 6]]], [29, [[5, 4]]], [31, [[10, 2]]], [37, [[20, 1]]], [41, [[5, 4]]], [43, [[4, 1], [2, 5], [1, 6]]], [47, [[10, 1], [5, 2]]], [53, [[10, 2]]], [59, [[10, 1], [5, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [317440, 131072, 81920], 'galois_label': '20T846', 'galt': 846, 'grd': 404.91912156279443, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '20.10.658618684118710741619590144.1', 'local_algs': ['2.5.0.1', '2.5.0.1', '2.10.10.9', '11.10.8.5', '11.10.8.5', 'm241.1.1.0', 'm241.1.1.0', 'm241.1.2.0', 'm241.1.2.0', 'm241.1.2.0', 'm241.1.2.0', 'm241.2.1.1', 'm241.2.1.1', 'm241.2.1.1', 'm241.1.4.0'], 'minimal_sibling': [-241, 0, -761, 0, 290, 0, 586, 0, 324, 0, 34, 0, -178, 0, -95, 0, -8, 0, 5, 0, 1], 'monogenic': 0, 'num_ram': 3, 'r2': 5, 'ramps': [2, 11, 241], 'rd': 21.9246011941, 'regulator': {'__RealLiteral__': 0, 'data': '840640.634638', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['-1.3.3.-4.-1.1', '-1.5.-6.-6.17.-9.-7.12.-3.-2.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{2125382437}{942050408177} a^{18} - 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1/2*a^9 - 286577714801/942050408177*a^8 - 328046848113/1884100816354*a^6 - 1/2*a^5 + 9722235910/40958713399*a^4 - 1/2*a^3 + 863293794789/1884100816354*a^2 - 562584574043/1884100816354', '1/1884100816354*a^19 + 196056870279/1884100816354*a^17 + 44137292369/1884100816354*a^15 - 1/2*a^14 - 221044887606/942050408177*a^13 - 1/2*a^12 + 11466341879/40958713399*a^11 - 1/2*a^10 - 286577714801/942050408177*a^9 - 328046848113/1884100816354*a^7 - 1/2*a^6 + 9722235910/40958713399*a^5 - 1/2*a^4 + 863293794789/1884100816354*a^3 - 562584574043/1884100816354*a']}
Number field data - 20.10.658618684118710741619590144.1