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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 4, 3, 0, 3, -1, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 406125, 'disc_rad': 285, 'disc_sign': 1, 'frobs': [[2, [[6, 1]]], [3, [0]], [5, [0]], [7, [[6, 1]]], [11, [[2, 2], [1, 2]]], [13, [[6, 1]]], [17, [[6, 1]]], [19, [0]], [23, [[2, 3]]], [29, [[2, 2], [1, 2]]], [31, [[3, 1], [1, 3]]], [37, [[6, 1]]], [41, [[2, 2], [1, 2]]], [43, [[6, 1]]], [47, [[6, 1]]], [53, [[6, 1]]], [59, [[2, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [18, 18, 24], 'galois_label': '6T9', 'galt': 9, 'grd': 27.57706419990631, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.2.406125.1', 'local_algs': ['3.2.0.1', '3.4.2.1', '5.2.1.1', '5.4.2.1', '19.3.2.3', '19.3.0.1'], 'monogenic': 1, 'num_ram': 3, 'r2': 2, 'ramps': [3, 5, 19], 'rd': 8.60551014102, 'regulator': {'__RealLiteral__': 0, 'data': '2.77416683434', 'prec': 44}, 'res': {'gal': ['21025,33350,-20905,-130590,12926,373331,433389,-358688,-498587,72491,388606,-35183,-224354,-18470,80095,54940,16852,-15863,35813,35394,-2049,-2048,10572,2304,-3293,2960,5,-680,796,-224,-16,112,-47,11,6,-3,1'], 'sex': ['45,-6,-1,1', '-12,-6,-1,1'], 'sib': ['-145,-230,-509,-854,-343,-665,-109,-2,43,136,-14,-42,2,-14,26,-10,3,-3,1', '1,-1,-6,10,10,-36,55,-66,60,-40,19,-6,1', '1,-7,25,-23,32,66,-147,-134,241,192,52,-155,177,-119,18,-9,8,-3,1', '27,0,0,0,0,0,46,0,0,0,0,0,47,0,0,0,0,0,1', '27,0,0,27,0,0,-10,0,0,1']}, 'subfield_mults': [1], 'subfields': ['-1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 2 a^{5} - 3 a^{4} + 7 a^{3} - 3 a^{2} + 7 a + 4 \\)', '\\( a \\)', '\\( 2 a^{5} - 3 a^{4} + 8 a^{3} - 4 a^{2} + 8 a + 6 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}
Number field data - 6.2.406125.1