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nf_fields • Show schema
{'class_group': [9], 'class_number': 9, 'cm': True, 'coeffs': [489, -153, 123, -23, 15, -3, 1], 'conductor': 207, 'degree': 6, 'dirichlet_group': [160, 1, 91, 22, 70, 139], 'disc_abs': 79827687, 'disc_rad': 69, 'disc_sign': -1, 'frobs': [[2, [[3, 2]]], [3, [0]], [5, [[6, 1]]], [7, [[6, 1]]], [11, [[6, 1]]], [13, [[3, 2]]], [17, [[2, 3]]], [19, [[2, 3]]], [23, [0]], [29, [[3, 2]]], [31, [[3, 2]]], [37, [[2, 3]]], [41, [[3, 2]]], [43, [[6, 1]]], [47, [[3, 2]]], [53, [[2, 3]]], [59, [[3, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [8, 3], 'galois_label': '6T1', 'galt': 1, 'grd': 20.75035786129348, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.79827687.1', 'local_algs': ['3.1.3.4a2.1', '3.1.3.4a2.1', '23.3.2.3a1.2'], 'maximal_cm_subfield': [489, -153, 123, -23, 15, -3, 1], 'monogenic': 0, 'narrow_class_group': [9], 'narrow_class_number': 9, 'num_ram': 2, 'r2': 3, 'ramps': [3, 23], 'rd': 20.7503578613, 'regulator': {'__RealLiteral__': 0, 'data': '3.39714980258', 'prec': 44}, 'relative_class_number': 9, 'res': {'sex': ['-1,-3,0,1', '6,-1,1', '0,1']}, 'subfield_mults': [1, 1], 'subfields': ['6.-1.1', '-1.-3.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{174}{23633} a^{5} + \\frac{484}{23633} a^{4} + \\frac{1062}{23633} a^{3} + \\frac{2953}{23633} a^{2} + \\frac{8051}{23633} a + \\frac{36496}{23633} \\)', '\\( \\frac{156}{23633} a^{5} - \\frac{381}{23633} a^{4} + \\frac{2582}{23633} a^{3} - \\frac{3057}{23633} a^{2} + \\frac{8848}{23633} a - \\frac{8026}{23633} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/23633*a^5 + 1361/23633*a^4 - 10588/23633*a^3 - 2292/23633*a^2 - 6609/23633*a - 10656/23633']}
Number field data - 6.0.79827687.1