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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [16, 0, -21, 0, 1], 'conductor': 377, 'degree': 4, 'dirichlet_group': [144, 1, 376, 233], 'disc_abs': 142129, 'disc_rad': 377, 'disc_sign': 1, 'frobs': [[2, [[2, 2]]], [3, [[2, 2]]], [5, [[2, 2]]], [7, [[2, 2]]], [11, [[2, 2]]], [13, [0]], [17, [[2, 2]]], [19, [[2, 2]]], [23, [[1, 4]]], [29, [0]], [31, [[2, 2]]], [37, [[2, 2]]], [41, [[2, 2]]], [43, [[2, 2]]], [47, [[2, 2]]], [53, [[1, 4]]], [59, [[2, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 2], 'galois_label': '4T2', 'galt': 2, 'grd': 19.4164878389476, 'index': 2, 'inessentialp': [2], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.142129.1', 'local_algs': ['13.2.1.1', '13.2.1.1', '29.2.1.1', '29.2.1.1'], 'monogenic': -1, 'num_ram': 2, 'r2': 0, 'ramps': [13, 29], 'rd': 19.4164878389, 'regulator': {'__RealLiteral__': 0, 'data': '24.1841254988', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1, 1], 'subfields': ['-3.-1.1', '-7.-1.1', '-94.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{8} a^{3} - \\frac{17}{8} a - \\frac{3}{2} \\)', '\\( \\frac{1}{8} a^{3} - \\frac{25}{8} a - \\frac{5}{2} \\)', '\\( \\frac{1}{4} a^{3} - \\frac{1}{4} a \\)'], 'unitsGmodule': [[1, 1], [2, 1], [3, 1]], 'unitsType': 'Type I (ii)', 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2*a', '1/8*a^3 - 1/8*a - 1/2']}
Number field data - 4.4.142129.1