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nf_fields • Show schema
{'class_group': [11], 'class_number': 11, 'cm': True, 'coeffs': [158, -216, 246, -61, 33, -3, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 2865961584, 'disc_rad': 1626, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [0]], [5, [[2, 2], [1, 2]]], [7, [[3, 2]]], [11, [[2, 2], [1, 2]]], [13, [[2, 3]]], [17, [[2, 2], [1, 2]]], [19, [[2, 3]]], [23, [[6, 1]]], [29, [[2, 3]]], [31, [[3, 2]]], [37, [[3, 2]]], [41, [[2, 2], [1, 2]]], [43, [[2, 3]]], [47, [[6, 1]]], [53, [[2, 2], [1, 2]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [8, 6, 6], 'galois_label': '6T3', 'galt': 3, 'grd': 45.26181201773813, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '6.0.2865961584.1', 'local_algs': ['2.3.2.1', '2.3.2.1', '3.2.0.1', '3.4.2.1', 'm271.2.1.1', 'm271.2.1.1', 'm271.2.1.1'], 'minimal_sibling': [9, -27, 84, 3, 10, -1, 1], 'monogenic': 0, 'num_ram': 3, 'r2': 3, 'ramps': [2, 3, 271], 'rd': 37.6887494574, 'regulator': {'__RealLiteral__': 0, 'data': '69.0480087831', 'prec': 44}, 'res': {'gal': ['660969,0,813,0,-4064,4872,-1609,-30,36,-30,17,-6,1'], 'sex': ['3,-9,-1,1', '1,-1,1', '0,1'], 'sib': ['9,-27,84,3,10,-1,1']}, 'subfield_mults': [1, 1], 'subfields': ['68.-1.1', '3.-9.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{9} a^{4} - \\frac{2}{9} a^{3} + \\frac{29}{9} a^{2} - \\frac{28}{9} a + \\frac{169}{9} \\)', '\\( \\frac{4}{9} a^{4} - \\frac{8}{9} a^{3} + \\frac{125}{9} a^{2} - \\frac{121}{9} a + \\frac{811}{9} \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/3*a^2 - 1/3*a - 1/3', '1/3*a^3 + 1/3*a - 1/3', '1/9*a^4 + 1/9*a^3 - 1/9*a^2 - 4/9*a - 2/9', '1/45*a^5 - 2/45*a^3 + 1/15*a^2 + 1/9*a + 14/45']}
Number field data - 6.0.2865961584.1