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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [32, -40, 25, -8, 0, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 8479744, 'disc_rad': 182, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[6, 1]]], [5, [[2, 2], [1, 2]]], [7, [0]], [11, [[6, 1]]], [13, [0]], [17, [[2, 2], [1, 2]]], [19, [[2, 3]]], [23, [[6, 1]]], [29, [[2, 2], [1, 2]]], [31, [[6, 1]]], [37, [[3, 2]]], [41, [[3, 2]]], [43, [[2, 3]]], [47, [[6, 1]]], [53, [[2, 2], [1, 2]]], [59, [[2, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [24, 6, 6], 'galois_label': '6T3', 'galt': 3, 'grd': 38.157568056677825, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.8479744.1', 'local_algs': ['2.1.2.2a1.1', '2.1.4.8b1.2', '7.2.1.0a1.1', '7.2.2.2a1.2', '13.1.1.0a1.1', '13.1.1.0a1.1', '13.1.2.1a1.1', '13.1.2.1a1.1'], 'maximal_cm_subfield': [1, 0, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 3, 'ramps': [2, 7, 13], 'rd': 14.2800739638, 'regulator': {'__RealLiteral__': 0, 'data': '72.1002516578', 'prec': 44}, 'res': {'gal': ['9256,6448,4352,1040,1630,1868,1702,648,159,-36,-18,0,1'], 'sex': ['-2,6,-1,1', '-182,0,1', '0,1'], 'sib': ['218,-200,25,-40,10,0,1']}, 'subfield_mults': [1, 1], 'subfields': ['1.0.1', '-2.6.-1.1'], 'torsion_gen': '\\( -\\frac{25}{436} a^{5} - \\frac{5}{109} a^{4} - \\frac{4}{109} a^{3} + \\frac{25}{109} a^{2} - \\frac{5}{4} a + \\frac{141}{109} \\)', 'torsion_order': 4, 'units': ['\\( \\frac{66}{109} a^{5} + \\frac{31}{109} a^{4} - \\frac{106}{109} a^{3} - \\frac{700}{109} a^{2} + 13 a - \\frac{569}{109} \\)', '\\( \\frac{77}{109} a^{5} + \\frac{236}{109} a^{4} + \\frac{385}{109} a^{3} - \\frac{308}{109} a^{2} - \\frac{573}{109} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/436*a^5 + 22/109*a^4 - 26/109*a^3 - 1/109*a^2 + 1/4*a - 10/109']}
Number field data - 6.0.8479744.1