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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 2, 7, 6, 5, -1, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 946125, 'disc_rad': 435, 'disc_sign': 1, 'frobs': [[2, [[6, 1]]], [3, [0]], [5, [0]], [7, [[6, 1]]], [11, [[3, 2]]], [13, [[6, 1]]], [17, [[6, 1]]], [19, [[2, 2], [1, 2]]], [23, [[2, 3]]], [29, [0]], [31, [[2, 2], [1, 2]]], [37, [[2, 3]]], [41, [[1, 6]]], [43, [[2, 3]]], [47, [[6, 1]]], [53, [[2, 3]]], [59, [[2, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [6, 6, 6], 'galois_label': '6T3', 'galt': 3, 'grd': 20.85665361461421, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.2.946125.1', 'local_algs': ['3.2.0.1', '3.4.2.1', '5.2.1.1', '5.4.2.1', '29.1.0.1', '29.1.0.1', '29.2.1.2', '29.2.1.2'], 'monogenic': 0, 'num_ram': 3, 'r2': 2, 'ramps': [3, 5, 29], 'rd': 9.90812369365, 'regulator': {'__RealLiteral__': 0, 'data': '4.17502696008', 'prec': 44}, 'res': {'gal': ['1189,-957,1379,-1020,1020,-822,667,-426,225,-90,29,-6,1'], 'sex': ['1,2,-1,1', '109,-1,1', '0,1'], 'sib': ['151,91,36,-1,15,-2,1', '1189,-957,1379,-1020,1020,-822,667,-426,225,-90,29,-6,1']}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '1.2.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{8}{23} a^{5} - \\frac{13}{23} a^{4} + \\frac{51}{23} a^{3} + \\frac{19}{23} a^{2} + \\frac{47}{23} a + \\frac{1}{23} \\)', '\\( \\frac{5}{23} a^{5} - \\frac{11}{23} a^{4} + \\frac{29}{23} a^{3} + \\frac{9}{23} a^{2} - \\frac{8}{23} a - \\frac{8}{23} \\)', '\\( \\frac{2}{23} a^{5} - \\frac{9}{23} a^{4} + \\frac{30}{23} a^{3} - \\frac{47}{23} a^{2} + \\frac{52}{23} a - \\frac{17}{23} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/23*a^5 + 7/23*a^4 - 8/23*a^3 + 11/23*a^2 + 3/23*a + 3/23']}
Number field data - 6.2.946125.1