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nf_fields • Show schema
{'class_group': [3], 'class_number': 3, 'cm': False, 'coeffs': [-7, 0, 63, 0, 7, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 310862272, 'disc_rad': 238, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[3, 2]]], [5, [[2, 3]]], [7, [0]], [11, [[6, 1]]], [13, [[6, 1]]], [17, [0]], [19, [[2, 2], [1, 2]]], [23, [[2, 3]]], [29, [[2, 2], [1, 2]]], [31, [[1, 6]]], [37, [[2, 2], [1, 2]]], [41, [[2, 3]]], [43, [[2, 3]]], [47, [[2, 2], [1, 2]]], [53, [[3, 2]]], [59, [[2, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 10, 6], 'galois_label': '6T3', 'galt': 3, 'grd': 41.735231135947174, 'index': 8, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.2.310862272.1', 'local_algs': ['2.1.2.2a1.1', '2.1.2.2a1.1', '2.1.2.2a1.1', '7.1.6.5a1.6', '17.2.1.0a1.1', '17.2.2.2a1.2'], 'monogenic': -1, 'narrow_class_group': [6], 'narrow_class_number': 6, 'num_ram': 3, 'r2': 2, 'ramps': [2, 7, 17], 'rd': 26.0272331698, 'regulator': {'__RealLiteral__': 0, 'data': '164.746744392', 'prec': 44}, 'res': {'gal': ['3472,-4032,8484,-5544,5712,-3332,1737,-884,291,-92,23,-4,1'], 'sex': ['-20,12,-1,1', '30,-1,1', '0,1'], 'sib': ['155,-214,135,-8,-3,-2,1']}, 'subfield_mults': [1, 1], 'subfields': ['-7.0.1', '-20.12.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{3}{16} a^{5} + \\frac{3}{16} a^{4} + \\frac{3}{2} a^{3} + \\frac{3}{2} a^{2} + \\frac{197}{16} a + \\frac{149}{16} \\)', '\\( \\frac{3}{8} a^{5} + 3 a^{3} + \\frac{189}{8} a + 8 \\)', '\\( \\frac{3}{16} a^{5} - \\frac{3}{16} a^{4} + \\frac{3}{2} a^{3} - \\frac{3}{2} a^{2} + \\frac{197}{16} a - \\frac{149}{16} \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2', '1/4*a^3 - 1/4*a^2 + 1/4*a - 1/4', '1/8*a^4 - 1/8', '1/16*a^5 - 1/16*a^4 - 1/16*a + 1/16']}
Number field data - 6.2.310862272.1