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nf_fields • Show schema
{'class_group': [2, 2], 'class_number': 4, 'cm': True, 'coeffs': [323, -114, 87, -17, 12, -3, 1], 'conductor': 171, 'degree': 6, 'dirichlet_group': [1, 115, 37, 151, 58, 94], 'disc_abs': 45001899, 'disc_rad': 57, 'disc_sign': -1, 'frobs': [[2, [[6, 1]]], [3, [0]], [5, [[3, 2]]], [7, [[3, 2]]], [11, [[3, 2]]], [13, [[6, 1]]], [17, [[1, 6]]], [19, [0]], [23, [[3, 2]]], [29, [[6, 1]]], [31, [[6, 1]]], [37, [[2, 3]]], [41, [[6, 1]]], [43, [[3, 2]]], [47, [[3, 2]]], [53, [[2, 3]]], [59, [[6, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [8, 3], 'galois_label': '6T1', 'galt': 1, 'grd': 18.859860385004858, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.45001899.1', 'local_algs': ['3.6.8.3', '19.2.1.2', '19.2.1.2', '19.2.1.2'], 'monogenic': 0, 'num_ram': 2, 'r2': 3, 'ramps': [3, 19], 'rd': 18.859860385, 'regulator': {'__RealLiteral__': 0, 'data': '3.39714980258', 'prec': 44}, 'res': {'sex': ['-1,-3,0,1', '5,-1,1', '0,1']}, 'subfield_mults': [1, 1], 'subfields': ['5.-1.1', '-1.-3.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{150}{14977} a^{5} + \\frac{316}{14977} a^{4} + \\frac{618}{14977} a^{3} + \\frac{1205}{14977} a^{2} + \\frac{5225}{14977} a + \\frac{1151}{881} \\)', '\\( \\frac{132}{14977} a^{5} - \\frac{321}{14977} a^{4} + \\frac{1742}{14977} a^{3} - \\frac{1935}{14977} a^{2} + \\frac{4598}{14977} a - \\frac{291}{881} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/14977*a^5 - 5789/14977*a^4 + 6594/14977*a^3 - 6482/14977*a^2 + 2531/14977*a + 178/881']}
Number field data - 6.0.45001899.1