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nf_fields • Show schema
{'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [184, 144, 36, -24, -12, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 419904000, 'disc_rad': 30, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[3, 1], [1, 3]]], [11, [[3, 2]]], [13, [[3, 1], [1, 3]]], [17, [[2, 3]]], [19, [[3, 2]]], [23, [[3, 1], [1, 3]]], [29, [[6, 1]]], [31, [[6, 1]]], [37, [[1, 6]]], [41, [[3, 1], [1, 3]]], [43, [[6, 1]]], [47, [[3, 1], [1, 3]]], [53, [[3, 2]]], [59, [[3, 1], [1, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [27, 32, 9], 'galois_label': '6T5', 'galt': 5, 'grd': 44.59083034511297, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 9, 'label': '6.0.419904000.9', 'local_algs': ['2.6.9.7', '3.6.8.9', '5.6.3.2'], 'monogenic': 0, 'num_ram': 3, 'r2': 3, 'ramps': [2, 3, 5], 'rd': 27.3647615794, 'regulator': {'__RealLiteral__': 0, 'data': '43.7064821236', 'prec': 44}, 'res': {'gal': ['23939,-97632,178530,-199206,141348,-48186,8715,2478,17583,-14918,-2145,1044,3345,-1488,-150,174,-15,-6,1'], 'sex': ['-22,-3,0,1', '-1,-3,0,1'], 'sib': ['23939,-97632,178530,-199206,141348,-48186,8715,2478,17583,-14918,-2145,1044,3345,-1488,-150,174,-15,-6,1', '89,132,-30,-63,15,-21,-15,6,-3,1']}, 'subfield_mults': [1], 'subfields': ['10.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{28} a^{5} + \\frac{3}{28} a^{4} + \\frac{1}{7} a^{3} + \\frac{1}{14} a^{2} - \\frac{6}{7} \\)', '\\( \\frac{2}{7} a^{5} - \\frac{9}{14} a^{4} - \\frac{33}{14} a^{3} + \\frac{1}{14} a^{2} + 10 a + \\frac{120}{7} \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2', '1/2*a^3', '1/4*a^4', '1/28*a^5 + 3/28*a^4 + 1/7*a^3 + 1/14*a^2 + 1/7']}
Number field data - 6.0.419904000.9