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nf_fields • Show schema
{'class_group': [2, 16], 'class_number': 32, 'cm': False, 'coeffs': [471, 17, -16, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 12720125, 'disc_rad': 1595, 'disc_sign': 1, 'frobs': [[2, [[4, 1]]], [3, [[2, 1], [1, 2]]], [5, [0]], [7, [[2, 1], [1, 2]]], [11, [0]], [13, [[2, 1], [1, 2]]], [17, [[4, 1]]], [19, [[2, 2]]], [23, [[4, 1]]], [29, [0]], [31, [[2, 2]]], [37, [[2, 1], [1, 2]]], [41, [[1, 4]]], [43, [[4, 1]]], [47, [[2, 1], [1, 2]]], [53, [[4, 1]]], [59, [[1, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [6, 4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 59.72041882063591, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '4.0.12720125.2', 'local_algs': ['5.1.4.3a1.1', '11.2.2.2a1.2', '29.1.2.1a1.2', '29.1.2.1a1.2'], 'maximal_cm_subfield': [399, -1, 1], 'minimal_sibling': [-109, 29, -9, -1, 1], 'monogenic': -1, 'narrow_class_group': [2, 16], 'narrow_class_number': 32, 'num_ram': 3, 'r2': 2, 'ramps': [5, 11, 29], 'rd': 59.7204188206, 'regulator': {'__RealLiteral__': 0, 'data': '6.04217203271', 'prec': 44}, 'res': {'gal': ['160000,0,2000,0,1205,0,5,0,1'], 'sib': ['-109,29,-9,-1,1', '160000,0,2000,0,1205,0,5,0,1']}, 'subfield_mults': [1], 'subfields': ['399.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{13} a^{3} + \\frac{5}{13} a^{2} + \\frac{6}{13} a - \\frac{32}{13} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/39*a^3 + 6/13*a^2 - 7/39*a - 2/13']}
Number field data - 4.0.12720125.2