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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [3, 19, -18, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 609005, 'disc_rad': 1745, 'disc_sign': 1, 'frobs': [[2, [[4, 1]]], [3, [[2, 1], [1, 2]]], [5, [0]], [7, [[4, 1]]], [11, [[2, 2]]], [13, [[4, 1]]], [17, [[2, 1], [1, 2]]], [19, [[1, 4]]], [23, [[2, 1], [1, 2]]], [29, [[2, 2]]], [31, [[1, 4]]], [37, [[2, 1], [1, 2]]], [41, [[2, 2]]], [43, [[4, 1]]], [47, [[4, 1]]], [53, [[4, 1]]], [59, [[2, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 41.773197148410844, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '4.4.609005.1', 'local_algs': ['5.2.0.1', '5.2.1.2', 'm349.2.2.2'], 'minimal_sibling': [19, 2, -10, -1, 1], 'monogenic': -1, 'num_ram': 2, 'r2': 0, 'ramps': [5, 349], 'rd': 27.9354206009, 'regulator': {'__RealLiteral__': 0, 'data': '76.8847058961', 'prec': 44}, 'res': {'gal': ['-31,201,-175,-386,317,86,-42,-2,1'], 'sib': ['19,2,-10,-1,1', '-31,201,-175,-386,317,86,-42,-2,1']}, 'subfield_mults': [1], 'subfields': ['-87.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{5} a^{3} + \\frac{1}{5} a^{2} - 2 a + \\frac{4}{5} \\)', '\\( \\frac{3}{5} a^{3} - \\frac{2}{5} a^{2} - 11 a - \\frac{8}{5} \\)', '\\( \\frac{7}{5} a^{3} - \\frac{58}{5} a^{2} + 10 a + \\frac{8}{5} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/5*a^3 + 1/5*a^2 - 1/5']}
Number field data - 4.4.609005.1