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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [4, 2, 5, -1, 1], 'conductor': 35, 'degree': 4, 'dirichlet_group': [1, 34, 29, 6], 'disc_abs': 1225, 'disc_rad': 35, 'disc_sign': 1, 'frobs': [[2, [[2, 2]]], [3, [[2, 2]]], [5, [0]], [7, [0]], [11, [[1, 4]]], [13, [[2, 2]]], [17, [[2, 2]]], [19, [[2, 2]]], [23, [[2, 2]]], [29, [[1, 4]]], [31, [[2, 2]]], [37, [[2, 2]]], [41, [[2, 2]]], [43, [[2, 2]]], [47, [[2, 2]]], [53, [[2, 2]]], [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': 5.916079783099616, 'index': 2, 'inessentialp': [2], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.1225.1', 'local_algs': ['5.4.2.1', '7.4.2.1'], 'monogenic': -1, 'num_ram': 2, 'r2': 2, 'ramps': [5, 7], 'rd': 5.9160797831, 'regulator': {'__RealLiteral__': 0, 'data': '0.962423650119', 'prec': 47}, 'res': {}, 'subfield_mults': [1, 1, 1], 'subfields': ['9.-1.1', '2.-1.1', '-1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{6} a^{3} + \\frac{1}{6} a^{2} + \\frac{1}{6} a + \\frac{2}{3} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/6*a^3 + 1/6*a^2 + 1/6*a - 1/3']}
Number field data - 4.0.1225.1