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nf_fields • Show schema
{'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [53, -14, -3, 0, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 13328, 'disc_rad': 238, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 1]]], [5, [[2, 1], [1, 2]]], [7, [0]], [11, [[4, 1]]], [13, [[1, 4]]], [17, [0]], [19, [[2, 2]]], [23, [[4, 1]]], [29, [[2, 1], [1, 2]]], [31, [[4, 1]]], [37, [[2, 1], [1, 2]]], [41, [[2, 1], [1, 2]]], [43, [[2, 2]]], [47, [[2, 2]]], [53, [[1, 4]]], [59, [[2, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [8, 4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 21.817424229271428, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.13328.1', 'local_algs': ['2.4.4.1', '7.4.2.2', '17.2.0.1', '17.2.1.2'], 'monogenic': -1, 'num_ram': 3, 'r2': 2, 'ramps': [2, 7, 17], 'rd': 10.7446245871, 'regulator': {'__RealLiteral__': 0, 'data': '3.29189154683', 'prec': 44}, 'res': {'gal': ['169,0,225,0,4,0,1,0,1'], 'sib': ['-13,15,0,-1,1', '169,0,225,0,4,0,1,0,1']}, 'subfield_mults': [1], 'subfields': ['1.0.1'], 'torsion_gen': '\\( -\\frac{1}{47} a^{3} - \\frac{7}{47} a^{2} + \\frac{1}{47} a + \\frac{21}{47} \\)', 'torsion_order': 4, 'units': ['\\( \\frac{1}{47} a^{3} + \\frac{7}{47} a^{2} - \\frac{48}{47} a + \\frac{73}{47} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/47*a^3 + 7/47*a^2 - 1/47*a - 21/47']}
Number field data - 4.0.13328.1