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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -4, 7, -7, 6, -3, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 793117, 'disc_rad': 247, 'disc_sign': 1, 'frobs': [[2, [[6, 1]]], [3, [[2, 2], [1, 2]]], [5, [[2, 3]]], [7, [[2, 3]]], [11, [[2, 3]]], [13, [0]], [17, [[3, 2]]], [19, [0]], [23, [[3, 2]]], [29, [[2, 2], [1, 2]]], [31, [[6, 1]]], [37, [[6, 1]]], [41, [[6, 1]]], [43, [[3, 2]]], [47, [[2, 3]]], [53, [[2, 2], [1, 2]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [6, 6], 'galois_label': '6T3', 'galt': 3, 'grd': 15.716233645501712, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.2.793117.1', 'local_algs': ['13.2.1.1', '13.4.2.1', '19.2.0.1', '19.4.2.1'], 'monogenic': 0, 'num_ram': 2, 'r2': 2, 'ramps': [13, 19], 'rd': 9.621058968, 'regulator': {'__RealLiteral__': 0, 'data': '5.98066279995', 'prec': 44}, 'res': {'gal': ['9,15,116,55,-47,40,62,-5,-16,-5,0,0,1'], 'sex': ['-3,1,0,1', '5,-1,1', '0,1'], 'sib': ['5,-11,8,-4,4,-2,1', '9,15,116,55,-47,40,62,-5,-16,-5,0,0,1']}, 'subfield_mults': [1, 1], 'subfields': ['-3.-1.1', '-3.1.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{3} a^{5} - \\frac{4}{3} a^{4} + \\frac{7}{3} a^{3} - \\frac{8}{3} a^{2} + 3 a - \\frac{4}{3} \\)', '\\( a \\)', '\\( a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/3*a^5 - 1/3*a^4 + 1/3*a^3 + 1/3*a^2 - 1/3']}
Number field data - 6.2.793117.1