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nf_fields • Show schema
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{'class_group': [30], 'class_number': 30, 'cm': False, 'coeffs': [155, -214, 135, -8, -3, -2, 1], 'conductor': 0, 'degree': 6, 'disc_abs': 1321164656, 'disc_rad': 238, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 10, 6], 'galois_label': '6T3', 'galt': 3, 'grd': 41.735231135947174, 'index': 4, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '6.0.1321164656.1', 'local_algs': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.1', '2.1.2.2a1.1', '7.1.6.5a1.6', '17.1.2.1a1.2', '17.2.2.2a1.2'], 'maximal_cm_subfield': [30, -1, 1], 'minimal_sibling': [-7, 0, 63, 0, 7, 0, 1], 'monogenic': -1, 'narrow_class_group': [30], 'narrow_class_number': 30, 'num_ram': 3, 'r2': 3, 'ramps': [2, 7, 17], 'rd': 33.1252749047, 'regulator': {'__RealLiteral__': 0, 'data': '59.5041576386', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['30.-1.1', '-20.12.-1.1'], 'torsion_order': 2, 'used_grh': False}
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nf_fields_extra •
{'dirichlet_group': [], 'frobs': [[2, [0]], [3, [[3, 2]]], [5, [[2, 2], [1, 2]]], [7, [0]], [11, [[6, 1]]], [13, [[6, 1]]], [17, [0]], [19, [[2, 3]]], [23, [[2, 3]]], [29, [[2, 3]]], [31, [[1, 6]]], [37, [[2, 3]]], [41, [[2, 2], [1, 2]]], [43, [[2, 2], [1, 2]]], [47, [[2, 3]]], [53, [[3, 2]]], [59, [[2, 3]]]], 'label': '6.0.1321164656.1', 'res': {'gal': ['3472,-4032,8484,-5544,5712,-3332,1737,-884,291,-92,23,-4,1'], 'sex': ['-20,12,-1,1', '-7,0,1', '0,1'], 'sib': ['-7,0,63,0,7,0,1']}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': ['\\( \\frac{1}{64} a^{5} - \\frac{3}{64} a^{4} - \\frac{1}{8} a^{2} + \\frac{79}{64} a - \\frac{613}{64} \\)', '\\( \\frac{5}{64} a^{5} + \\frac{1}{64} a^{4} - \\frac{1}{2} a^{3} - \\frac{9}{8} a^{2} + \\frac{555}{64} a + \\frac{151}{64} \\)'], 'zk': ['1', 'a', '1/2*a^2 - 1/2', '1/4*a^3 - 1/4*a^2 + 1/4*a - 1/4', '1/16*a^4 - 1/2*a + 7/16', '1/64*a^5 + 1/64*a^4 - 1/8*a^2 - 17/64*a - 9/64']}