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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'conductor': 11, 'degree': 10, 'dirichlet_group': [1, 2, 3, 4, 5, 6, 7, 8, 9, 10], 'disc_abs': 2357947691, 'disc_rad': 11, 'disc_sign': -1, 'frobs': [[2, [[10, 1]]], [3, [[5, 2]]], [5, [[5, 2]]], [7, [[10, 1]]], [11, [0]], [13, [[10, 1]]], [17, [[10, 1]]], [19, [[10, 1]]], [23, [[1, 10]]], [29, [[10, 1]]], [31, [[5, 2]]], [37, [[5, 2]]], [41, [[10, 1]]], [43, [[2, 5]]], [47, [[5, 2]]], [53, [[5, 2]]], [59, [[5, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [9], 'galois_label': '10T1', 'galt': 1, 'grd': 8.654727864164494, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.0.2357947691.1', 'local_algs': ['11.10.9.7'], 'monogenic': 1, 'num_ram': 1, 'r2': 5, 'ramps': [11], 'rd': 8.65472786416, 'regulator': {'__RealLiteral__': 0, 'data': '26.1711060094', 'prec': 44}, 'relative_class_number': 1, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['3.-1.1', '-1.3.3.-4.-1.1'], 'torsion_gen': '\\( a \\)', 'torsion_order': 22, 'units': ['\\( a - 1 \\)', '\\( a^{2} + 1 \\)', '\\( a^{9} - a^{8} + a^{7} \\)', '\\( a^{9} + a^{3} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9']}
Number field data - 10.0.2357947691.1