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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [7, -2, 5, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 4672, 'disc_rad': 146, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[2, 2]]], [5, [[4, 1]]], [7, [[2, 1], [1, 2]]], [11, [[4, 1]]], [13, [[4, 1]]], [17, [[2, 1], [1, 2]]], [19, [[2, 2]]], [23, [[1, 4]]], [29, [[4, 1]]], [31, [[2, 1], [1, 2]]], [37, [[2, 2]]], [41, [[1, 4]]], [43, [[4, 1]]], [47, [[2, 1], [1, 2]]], [53, [[4, 1]]], [59, [[4, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 24.166091947189145, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '4.0.4672.2', 'local_algs': ['2.4.6.1', '73.1.0.1', '73.1.0.1', '73.2.1.1'], 'monogenic': -1, 'num_ram': 2, 'r2': 2, 'ramps': [2, 73], 'rd': 8.26752864903, 'regulator': {'__RealLiteral__': 0, 'data': '1.76274717404', 'prec': 44}, 'res': {'gal': ['576,0,-344,0,73,0,10,0,1'], 'sib': ['2,0,9,0,1', '576,0,-344,0,73,0,10,0,1']}, 'subfield_mults': [1], 'subfields': ['-2.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{3} a^{3} - \\frac{1}{3} a^{2} + \\frac{1}{3} a - \\frac{1}{3} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/3*a^3 - 1/3*a^2 + 1/3*a - 1/3']}
Number field data - 4.0.4672.2