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nf_fields • Show schema
{'class_group': [6], 'class_number': 6, 'cm': True, 'coeffs': [1611, 426, -20, -22, 8, -1, 1], 'conductor': 91, 'degree': 6, 'dirichlet_group': [1, 82, 81, 9, 10, 90], 'disc_abs': 6240321451, 'disc_rad': 91, 'disc_sign': -1, 'frobs': [[2, [[6, 1]]], [3, [[2, 3]]], [5, [[3, 2]]], [7, [0]], [11, [[2, 3]]], [13, [0]], [17, [[6, 1]]], [19, [[1, 6]]], [23, [[3, 2]]], [29, [[3, 2]]], [31, [[3, 2]]], [37, [[6, 1]]], [41, [[3, 2]]], [43, [[3, 2]]], [47, [[3, 2]]], [53, [[3, 2]]], [59, [[3, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [5, 5], 'galois_label': '6T1', 'galt': 1, 'grd': 42.90762670326212, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '6.0.6240321451.2', 'local_algs': ['7.1.6.5a1.3', '13.1.6.5a1.6'], 'maximal_cm_subfield': [1611, 426, -20, -22, 8, -1, 1], 'monogenic': 0, 'narrow_class_group': [6], 'narrow_class_number': 6, 'num_ram': 2, 'r2': 3, 'ramps': [7, 13], 'rd': 42.9076267033, 'regulator': {'__RealLiteral__': 0, 'data': '31.7983118742', 'prec': 44}, 'relative_class_number': 2, 'res': {'sex': ['-27,-30,-1,1', '23,-1,1', '0,1']}, 'subfield_mults': [1, 1], 'subfields': ['23.-1.1', '-27.-30.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{22}{47077} a^{5} - \\frac{688}{47077} a^{4} - \\frac{395}{47077} a^{3} + \\frac{7194}{47077} a^{2} + \\frac{17163}{47077} a - \\frac{29}{263} \\)', '\\( \\frac{273}{47077} a^{5} + \\frac{22}{47077} a^{4} + \\frac{1518}{47077} a^{3} - \\frac{4883}{47077} a^{2} - \\frac{50226}{47077} a + \\frac{202}{263} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/3*a^4 + 1/3*a^3 + 1/3*a^2 + 1/3*a', '1/141231*a^5 - 1437/47077*a^4 - 4999/47077*a^3 + 109/47077*a^2 + 49997/141231*a - 116/263']}
Number field data - 6.0.6240321451.2