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nf_fields • Show schema
{'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [15, -15, 1, 11, -3, -1, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 2838375, 'disc_rad': 435, 'disc_sign': -1, 'frobs': [[2, [[3, 2]]], [3, [0]], [5, [0]], [7, [[6, 1]]], [11, [[6, 1]]], [13, [[6, 1]]], [17, [[3, 2]]], [19, [[2, 2], [1, 2]]], [23, [[2, 2], [1, 2]]], [29, [0]], [31, [[2, 2], [1, 2]]], [37, [[2, 3]]], [41, [[2, 3]]], [43, [[2, 3]]], [47, [[3, 2]]], [53, [[2, 2], [1, 2]]], [59, [[2, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [6, 6, 6], 'galois_label': '6T3', 'galt': 3, 'grd': 20.85665361461421, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.2838375.1', 'local_algs': ['3.1.2.1a1.2', '3.1.2.1a1.2', '3.1.2.1a1.2', '5.1.2.1a1.2', '5.2.2.2a1.2', '29.2.1.0a1.1', '29.2.2.2a1.2'], 'maximal_cm_subfield': [4, -1, 1], 'monogenic': 0, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 3, 'r2': 3, 'ramps': [3, 5, 29], 'rd': 11.8990319002, 'regulator': {'__RealLiteral__': 0, 'data': '6.87240285881', 'prec': 44}, 'res': {'gal': ['81,189,171,90,-168,-279,10,115,23,-17,2,-2,1'], 'sex': ['0,1', '-36,-1,1', '1,2,-1,1'], 'sib': ['-45,60,9,-20,-6,0,1', '81,189,171,90,-168,-279,10,115,23,-17,2,-2,1']}, 'subfield_mults': [1, 1], 'subfields': ['4.-1.1', '1.2.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{2}{9} a^{5} - \\frac{1}{3} a^{4} - \\frac{1}{3} a^{3} + \\frac{16}{9} a^{2} - \\frac{4}{3} \\)', '\\( \\frac{2}{9} a^{5} + \\frac{1}{3} a^{4} - \\frac{2}{3} a^{3} + \\frac{4}{9} a^{2} + 4 a + \\frac{8}{3} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/3*a^4 + 1/3*a^3 + 1/3*a^2', '1/9*a^5 - 4/9*a^2 + 1/3']}
Number field data - 6.0.2838375.1