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nf_fields • Show schema
{'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [-27, 41, -55, 27, -11, -3, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 1439069689, 'disc_rad': 1129, 'disc_sign': 1, 'frobs': [[2, [[3, 2]]], [3, [[2, 2], [1, 2]]], [5, [[3, 2]]], [7, [[3, 2]]], [11, [[4, 1], [1, 2]]], [13, [[4, 1], [1, 2]]], [17, [[4, 1], [1, 2]]], [19, [[2, 3]]], [23, [[3, 2]]], [29, [[4, 1], [1, 2]]], [31, [[4, 1], [1, 2]]], [37, [[4, 1], [1, 2]]], [41, [[4, 1], [1, 2]]], [43, [[3, 2]]], [47, [[3, 2]]], [53, [[3, 2]]], [59, [[2, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12], 'galois_label': '6T8', 'galt': 8, 'grd': 33.60059523282288, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '6.2.1439069689.1', 'local_algs': ['m1129.2.1.1', 'm1129.2.2.2'], 'minimal_sibling': [2, -1, 0, -1, 1], 'monogenic': 0, 'num_ram': 1, 'r2': 2, 'ramps': [1129], 'rd': 33.6005952328, 'regulator': {'__RealLiteral__': 0, 'data': '232.845522247', 'prec': 44}, 'res': {'gal': ['128776,-341528,730658,-940621,998772,-921680,879942,-853962,602600,-308780,220283,-210796,128064,-36776,14472,-25740,22958,-9383,1160,344,18,-134,60,-12,1'], 'sex': ['0,1', '0,1', '2,-1,0,-1,1'], 'sib': ['2,-1,0,-1,1', '8,0,-2,-3,-1,0,1', '4600,-4401,766,-132,290,-12,22,0,1', '729,0,-1978,0,1777,0,-698,0,158,0,-16,0,1', '8,-40,110,-221,329,-360,255,-99,43,-23,10,-4,1']}, 'subfield_mults': [1], 'subfields': ['-3.-7.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{5}{3} a^{4} - \\frac{10}{3} a^{3} - 24 a^{2} + \\frac{77}{3} a - 31 \\)', '\\( a^{4} - 2 a^{3} - 14 a^{2} + 15 a - 26 \\)', '\\( \\frac{7}{3} a^{5} + \\frac{4}{3} a^{4} - 12 a^{3} + \\frac{109}{3} a^{2} - 36 a + 28 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/3*a^4 + 1/3*a^3 + 1/3*a', '1/3*a^5 - 1/3*a^3 + 1/3*a^2 - 1/3*a']}
Number field data - 6.2.1439069689.1