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nf_fields • Show schema
{'class_group': [2, 2], 'class_number': 4, 'cm': False, 'coeffs': [-367921, -5476, 16065, 149, -224, -1, 1], 'conductor': 2051, 'degree': 6, 'dirichlet_group': [1, 1171, 1173, 1464, 585, 1759], 'disc_abs': 60394170557, 'disc_rad': 2051, 'disc_sign': 1, 'frobs': [[2, [[6, 1]]], [3, [[6, 1]]], [5, [[6, 1]]], [7, [0]], [11, [[6, 1]]], [13, [[2, 3]]], [17, [[3, 2]]], [19, [[6, 1]]], [23, [[6, 1]]], [29, [[2, 3]]], [31, [[3, 2]]], [37, [[3, 2]]], [41, [[2, 3]]], [43, [[1, 6]]], [47, [[6, 1]]], [53, [[3, 2]]], [59, [[3, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 3], 'galois_label': '6T1', 'galt': 1, 'grd': 62.637224203074084, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.6.60394170557.1', 'local_algs': ['7.6.4.3', 'm293.2.1.1', 'm293.2.1.1', 'm293.2.1.1'], 'monogenic': 0, 'num_ram': 2, 'r2': 0, 'ramps': [7, 293], 'rd': 62.6372242031, 'regulator': {'__RealLiteral__': 0, 'data': '346.817025563', 'prec': 44}, 'res': {'sex': ['1,-2,-1,1', '-73,-1,1', '0,1']}, 'subfield_mults': [1, 1], 'subfields': ['-73.-1.1', '1.-2.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1158}{23966179} a^{5} + \\frac{81489}{23966179} a^{4} - \\frac{341896}{23966179} a^{3} - \\frac{12307734}{23966179} a^{2} + \\frac{18871667}{23966179} a + \\frac{422435127}{23966179} \\)', '\\( \\frac{586}{23966179} a^{5} - \\frac{82940}{23966179} a^{4} - \\frac{90230}{23966179} a^{3} + \\frac{12522475}{23966179} a^{2} + \\frac{3423841}{23966179} a - \\frac{418290261}{23966179} \\)', '\\( \\frac{1744}{23966179} a^{5} - \\frac{1451}{23966179} a^{4} - \\frac{432126}{23966179} a^{3} + \\frac{214741}{23966179} a^{2} + \\frac{46261687}{23966179} a - \\frac{211550745}{23966179} \\)', '\\( \\frac{105849}{23966179} a^{5} + \\frac{805169}{23966179} a^{4} - \\frac{18833888}{23966179} a^{3} - \\frac{109862052}{23966179} a^{2} + \\frac{746171541}{23966179} a + \\frac{3204379970}{23966179} \\)', '\\( \\frac{82270}{23966179} a^{5} + \\frac{1443180}{23966179} a^{4} - \\frac{13403777}{23966179} a^{3} - \\frac{242092034}{23966179} a^{2} + \\frac{487225235}{23966179} a + \\frac{9519414477}{23966179} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/23966179*a^5 - 5153279/23966179*a^4 + 3435271/23966179*a^3 - 755691/23966179*a^2 - 2570726/23966179*a + 799417/23966179']}
Number field data - 6.6.60394170557.1