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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [31, 0, 0, 0, 1, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 1906624, 'disc_rad': 62, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[4, 1], [1, 2]]], [5, [[3, 2]]], [7, [[3, 2]]], [11, [[4, 1], [1, 2]]], [13, [[4, 1], [1, 2]]], [17, [[4, 1], [1, 2]]], [19, [[3, 2]]], [23, [[4, 1], [1, 2]]], [29, [[2, 3]]], [31, [0]], [37, [[4, 1], [1, 2]]], [41, [[3, 2]]], [43, [[2, 3]]], [47, [[2, 2], [1, 2]]], [53, [[2, 3]]], [59, [[3, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [36, 18], 'galois_label': '6T8', 'galt': 8, 'grd': 37.15919215997363, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 3, 'label': '6.0.1906624.3', 'local_algs': ['2.6.6.1', '31.2.0.1', '31.4.3.1'], 'minimal_sibling': [2, -16, -14, -2, 1], 'monogenic': 0, 'num_ram': 2, 'r2': 3, 'ramps': [2, 31], 'rd': 11.1355287257, 'regulator': {'__RealLiteral__': 0, 'data': '7.58972973504', 'prec': 44}, 'res': {'gal': ['1000,1600,3800,7456,-1292,-15296,-8332,15980,31492,20680,-4900,-11892,-761,1598,3190,-1300,-1331,-594,318,182,90,-26,-16,0,1'], 'sex': ['0,1', '0,1', '2,-16,-14,-2,1'], 'sib': ['-961,0,31,0,0,0,1', '10,-16,38,-54,53,-34,16,-4,1', '2,-16,-14,-2,1', '6561,1458,-1134,-3330,-515,252,532,54,-14,-36,-2,0,1', '961,0,0,0,-155,0,0,0,40,0,-6,0,1']}, 'subfield_mults': [1], 'subfields': ['-1.1.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{29} a^{4} + \\frac{10}{29} a^{2} + \\frac{3}{29} \\)', '\\( \\frac{82}{29} a^{5} + \\frac{119}{29} a^{4} + \\frac{182}{29} a^{3} + \\frac{59}{29} a^{2} - \\frac{363}{29} a - \\frac{1238}{29} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/29*a^4 + 10/29*a^2 + 3/29', '1/29*a^5 + 10/29*a^3 + 3/29*a']}
Number field data - 6.0.1906624.3