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nf_fields • Show schema
{'class_group': [3], 'class_number': 3, 'cm': False, 'coeffs': [76, 44, -10, 10, 5, -1, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 21160000, 'disc_rad': 230, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 1], [2, 1]]], [5, [0]], [7, [[4, 1], [2, 1]]], [11, [[2, 2], [1, 2]]], [13, [[4, 1], [2, 1]]], [17, [[4, 1], [2, 1]]], [19, [[3, 1], [1, 3]]], [23, [0]], [29, [[3, 2]]], [31, [[2, 2], [1, 2]]], [37, [[4, 1], [2, 1]]], [41, [[3, 1], [1, 3]]], [43, [[4, 1], [2, 1]]], [47, [[4, 1], [2, 1]]], [53, [[4, 1], [2, 1]]], [59, [[2, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [54, 27, 18], 'galois_label': '6T10', 'galt': 10, 'grd': 45.35617421365923, 'index': 2, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 4, 'label': '6.2.21160000.4', 'local_algs': ['2.2.0.1', '2.4.6.4', '5.2.1.1', '5.4.3.2', '23.2.0.1', '23.4.2.2'], 'minimal_sibling': [55, 30, 15, -20, 1, -2, 1], 'monogenic': -1, 'num_ram': 3, 'r2': 2, 'ramps': [2, 5, 23], 'rd': 16.6310349884, 'regulator': {'__RealLiteral__': 0, 'data': '13.2486785184', 'prec': 44}, 'res': {'sex': ['55,30,15,-20,1,-2,1'], 'sib': ['55,30,15,-20,1,-2,1']}, 'subfield_mults': [1], 'subfields': ['-1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{3}{50} a^{5} - \\frac{1}{5} a^{4} + \\frac{3}{5} a^{3} - \\frac{3}{10} a^{2} - \\frac{2}{5} a + \\frac{106}{25} \\)', '\\( \\frac{1}{10} a^{5} - \\frac{3}{10} a^{4} + \\frac{7}{10} a^{3} - \\frac{4}{5} a^{2} - \\frac{9}{5} a + \\frac{13}{5} \\)', '\\( \\frac{1}{25} a^{5} + \\frac{1}{5} a^{3} + \\frac{3}{5} a^{2} + \\frac{1}{5} a - \\frac{1}{25} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/10*a^4 + 1/10*a^3 + 1/10*a^2 - 2/5*a - 2/5', '1/50*a^5 - 2/5*a^3 + 3/10*a^2 - 2/5*a + 12/25']}
Number field data - 6.2.21160000.4