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nf_fields • Show schema
{'class_group': [2, 2], 'class_number': 4, 'cm': True, 'coeffs': [1067, -649, 212, 39, -20, -1, 1], 'conductor': 473, 'degree': 6, 'dirichlet_group': [208, 1, 307, 87, 122, 221], 'disc_abs': 4550424131, 'disc_rad': 473, 'disc_sign': -1, 'frobs': [[2, [[2, 3]]], [3, [[3, 2]]], [5, [[3, 2]]], [7, [[6, 1]]], [11, [0]], [13, [[6, 1]]], [17, [[6, 1]]], [19, [[6, 1]]], [23, [[3, 2]]], [29, [[6, 1]]], [31, [[3, 2]]], [37, [[3, 2]]], [41, [[2, 3]]], [43, [0]], [47, [[1, 6]]], [53, [[3, 2]]], [59, [[1, 6]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [3, 4], 'galois_label': '6T1', 'galt': 1, 'grd': 40.70758261752865, 'index': 4, 'inessentialp': [2], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.4550424131.1', 'local_algs': ['11.2.1.2', '11.2.1.2', '11.2.1.2', '43.6.4.1'], 'monogenic': -1, 'num_ram': 2, 'r2': 3, 'ramps': [11, 43], 'rd': 40.7075826175, 'regulator': {'__RealLiteral__': 0, 'data': '75.6874575318', 'prec': 44}, 'relative_class_number': 4, 'res': {'sex': ['-8,-14,-1,1', '3,-1,1', '0,1']}, 'subfield_mults': [1, 1], 'subfields': ['3.-1.1', '-8.-14.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{19}{2467} a^{5} - \\frac{3}{4934} a^{4} - \\frac{284}{2467} a^{3} + \\frac{829}{4934} a^{2} - \\frac{297}{2467} a - \\frac{53255}{4934} \\)', '\\( \\frac{35}{4934} a^{5} + \\frac{96}{2467} a^{4} - \\frac{653}{4934} a^{3} - \\frac{1858}{2467} a^{2} + \\frac{10879}{4934} a - \\frac{10405}{2467} \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2*a - 1/2', '1/2*a^3 - 1/2', '1/4*a^4 - 1/4*a^2 - 1/2*a - 1/4', '1/9868*a^5 - 65/9868*a^4 + 1673/9868*a^3 + 1515/9868*a^2 - 535/9868*a + 3987/9868']}
Number field data - 6.0.4550424131.1