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nf_fields • Show schema
{'class_group': [3, 6], 'class_number': 18, 'cm': True, 'coeffs': [1561, -224, 322, -34, 27, -2, 1], 'conductor': 280, 'degree': 6, 'dirichlet_group': [1, 99, 179, 81, 121, 219], 'disc_abs': 153664000, 'disc_rad': 70, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[6, 1]]], [5, [0]], [7, [0]], [11, [[3, 2]]], [13, [[1, 6]]], [17, [[6, 1]]], [19, [[3, 2]]], [23, [[3, 2]]], [29, [[2, 3]]], [31, [[6, 1]]], [37, [[3, 2]]], [41, [[1, 6]]], [43, [[2, 3]]], [47, [[3, 2]]], [53, [[3, 2]]], [59, [[3, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [9, 3, 4], 'galois_label': '6T1', 'galt': 1, 'grd': 23.143481397064466, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.153664000.1', 'local_algs': ['2.3.2.9a1.2', '5.3.2.3a1.1', '7.1.3.2a1.1', '7.1.3.2a1.1'], 'maximal_cm_subfield': [1561, -224, 322, -34, 27, -2, 1], 'monogenic': 0, 'narrow_class_group': [3, 6], 'narrow_class_number': 18, 'num_ram': 3, 'r2': 3, 'ramps': [2, 5, 7], 'rd': 23.1434813971, 'regulator': {'__RealLiteral__': 0, 'data': '2.10181872849', 'prec': 44}, 'relative_class_number': 18, 'res': {'sex': ['1,-2,-1,1', '10,0,1', '0,1']}, 'subfield_mults': [1, 1], 'subfields': ['10.0.1', '1.-2.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{80}{88409} a^{5} - \\frac{2221}{88409} a^{4} + \\frac{5228}{88409} a^{3} - \\frac{35736}{88409} a^{2} + \\frac{35796}{88409} a - \\frac{228422}{88409} \\)', '\\( \\frac{174}{88409} a^{5} + \\frac{1800}{88409} a^{4} + \\frac{2530}{88409} a^{3} + \\frac{28365}{88409} a^{2} + \\frac{15970}{88409} a + \\frac{267920}{88409} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/88409*a^5 - 12184/88409*a^4 - 13196/88409*a^3 + 26076/88409*a^2 - 3973/88409*a + 39139/88409']}
Number field data - 6.0.153664000.1