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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-12, -20, 7, 13, -6, -1, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 21484952, 'disc_rad': 278, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 1], [1, 2]]], [5, [[6, 1]]], [7, [[6, 1]]], [11, [[3, 2]]], [13, [[6, 1]]], [17, [[4, 1], [1, 2]]], [19, [[4, 1], [1, 2]]], [23, [[4, 1], [2, 1]]], [29, [[6, 1]]], [31, [[6, 1]]], [37, [[2, 3]]], [41, [[2, 2], [1, 2]]], [43, [[4, 1], [1, 2]]], [47, [[2, 1], [1, 4]]], [53, [[4, 1], [2, 1]]], [59, [[2, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [72, 24], 'galois_label': '6T11', 'galt': 11, 'grd': 33.34666400106613, 'index': 2, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '6.2.21484952.1', 'local_algs': ['2.2.0.1', '2.2.3.4', '2.2.0.1', '139.2.1.2', '139.2.1.2', '139.2.1.2'], 'minimal_sibling': [2, -2, 3, -3, 4, -1, 1], 'monogenic': -1, 'num_ram': 2, 'r2': 2, 'ramps': [2, 139], 'rd': 16.6733320005, 'regulator': {'__RealLiteral__': 0, 'data': '87.6319060374', 'prec': 44}, 'res': {'sex': ['-2,-4,-3,-2,1', '2,0,1'], 'sib': ['1,-2,-1,2,4,2,-1,-2,1', '1,1,-9,28,-13,11,18,-23,35,-28,15,-5,1', '16,-12,5,-17,183,-268,252,-146,72,-32,15,-5,1', '16,0,-56,0,64,0,-30,0,13,0,-4,0,1', '2,-2,3,-3,4,-1,1', '2817,-4538,2579,-1030,766,-394,27,102,-54,18,-1,-2,1', '35593,-17456,-5532,13032,-3008,-2396,1326,-40,-152,48,0,-4,1', '44,-340,-315,118,-53,0,11,-2,1', '746,1724,1119,1688,136,-18,135,-240,-43,50,-6,-4,1', '79299,-40824,-31014,61092,48299,-19960,-18332,3124,4912,-600,-916,-16,129,0,-10,0,1', '-120256,109888,321360,-673904,434340,123992,-441002,372784,-118247,-65284,93744,-49040,5483,8600,-7026,1704,690,-620,210,36,-67,24,2,-4,1', '16,0,136,0,416,0,818,0,1125,0,1172,0,837,0,362,0,24,0,-4,0,5,0,4,0,1', '16,0,152,0,88,0,-998,0,3179,0,-6445,0,6873,0,-4050,0,1634,0,-468,0,95,0,-13,0,1', '3249,0,16204,0,22044,0,-27284,0,47236,0,6280,0,-3770,0,340,0,604,0,-68,0,-20,0,0,0,1']}, 'subfield_mults': [1], 'subfields': ['2.1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{7}{4} a^{5} - \\frac{13}{4} a^{4} - 8 a^{3} + \\frac{119}{4} a^{2} - \\frac{45}{4} a - \\frac{53}{2} \\)', '\\( \\frac{1}{4} a^{5} + \\frac{1}{4} a^{4} - a^{3} + \\frac{1}{4} a^{2} + \\frac{1}{4} a - \\frac{1}{2} \\)', '\\( \\frac{51}{4} a^{5} - \\frac{101}{4} a^{4} - 59 a^{3} + \\frac{895}{4} a^{2} - \\frac{385}{4} a - \\frac{443}{2} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/4*a^5 + 1/4*a^4 + 1/4*a^2 + 1/4*a - 1/2']}
Number field data - 6.2.21484952.1