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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -2, -3, 0, 3, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 346112, 'disc_rad': 26, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[6, 1]]], [5, [[6, 1]]], [7, [[3, 2]]], [11, [[2, 3]]], [13, [0]], [17, [[3, 2]]], [19, [[2, 3]]], [23, [[2, 2], [1, 2]]], [29, [[2, 3]]], [31, [[1, 6]]], [37, [[6, 1]]], [41, [[2, 2], [1, 2]]], [43, [[6, 1]]], [47, [[3, 2]]], [53, [[2, 3]]], [59, [[2, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [24, 6], 'galois_label': '6T3', 'galt': 3, 'grd': 14.422205101855956, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.2.346112.1', 'local_algs': ['2.2.3.1', '2.4.8.3', '13.2.0.1', '13.4.2.1'], 'monogenic': 0, 'num_ram': 2, 'r2': 2, 'ramps': [2, 13], 'rd': 8.37920423684, 'regulator': {'__RealLiteral__': 0, 'data': '5.67323122484', 'prec': 44}, 'res': {'gal': ['4,0,24,0,36,0,-4,0,1,0,0,0,1'], 'sex': ['0,1', '13,0,1', '-2,-1,0,1'], 'sib': ['13,0,-1,0,3,0,1', '4,0,24,0,36,0,-4,0,1,0,0,0,1']}, 'subfield_mults': [1, 1], 'subfields': ['-2.0.1', '-2.-1.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{5} - 2 a^{4} + 3 a^{3} - 3 a - 2 \\)', '\\( \\frac{1}{2} a^{5} - \\frac{3}{2} a^{4} + 3 a^{3} - 2 a^{2} - \\frac{1}{2} a - \\frac{1}{2} \\)', '\\( a^{5} - 2 a^{4} + 3 a^{3} - 4 a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/2*a^4 - 1/2', '1/2*a^5 - 1/2*a']}
Number field data - 6.2.346112.1