-
nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [3, -17, 5, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 18083, 'disc_rad': 1391, 'disc_sign': -1, 'frobs': [[2, [[4, 1]]], [3, [[1, 4]]], [5, [[4, 1]]], [7, [[4, 1]]], [11, [[2, 2]]], [13, [0]], [17, [[2, 1], [1, 2]]], [19, [[2, 2]]], [23, [[1, 4]]], [29, [[2, 2]]], [31, [[4, 1]]], [37, [[2, 2]]], [41, [[2, 2]]], [43, [[2, 1], [1, 2]]], [47, [[2, 2]]], [53, [[2, 2]]], [59, [[4, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 37.296112397943034, 'index': 3, 'inessentialp': [3], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.2.18083.1', 'local_algs': ['13.4.2.1', '107.2.1.1', '107.2.0.1'], 'monogenic': -1, 'num_ram': 2, 'r2': 1, 'ramps': [13, 107], 'rd': 11.5962513609, 'regulator': {'__RealLiteral__': 0, 'data': '10.996558893', 'prec': 40}, 'res': {'gal': ['729,135,597,772,319,4,-8,-2,1'], 'sib': ['69,-13,14,-2,1', '729,135,597,772,319,4,-8,-2,1']}, 'subfield_mults': [1], 'subfields': ['-3.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{9} a^{3} - \\frac{1}{3} a^{2} + \\frac{2}{9} a - \\frac{1}{3} \\)', '\\( \\frac{11}{3} a^{3} - 3 a^{2} + \\frac{52}{3} a - 58 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/9*a^3 - 1/3*a^2 + 2/9*a - 1/3']}
Number field data - 4.2.18083.1