-
nf_fields • Show schema
Hide schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-8, 8, -6, -5, 5, -3, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 905177, 'disc_rad': 2639, 'disc_sign': 1, 'frobs': [[2, [[3, 2]]], [3, [[6, 1]]], [5, [[6, 1]]], [7, [0]], [11, [[3, 2]]], [13, [0]], [17, [[6, 1]]], [19, [[3, 2]]], [23, [[3, 2]]], [29, [0]], [31, [[3, 2]]], [37, [[3, 2]]], [41, [[1, 6]]], [43, [[2, 1], [1, 4]]], [47, [[3, 2]]], [53, [[3, 2]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 12, 12], 'galois_label': '6T6', 'galt': 6, 'grd': 71.05086481765254, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '6.2.905177.2', 'local_algs': ['7.6.4.3', '13.1.0.1', '13.1.0.1', '13.2.0.1', '13.2.1.2', '29.1.0.1', '29.1.0.1', '29.1.0.1', '29.1.0.1', '29.2.1.1'], 'monogenic': 0, 'num_ram': 3, 'r2': 2, 'ramps': [7, 13, 29], 'rd': 9.83532959706, 'regulator': {'__RealLiteral__': 0, 'data': '3.81198034409', 'prec': 44}, 'res': {'gal': ['38752216,-21031040,-98883326,16798037,119239246,35571030,-61190896,-19925764,13952948,-5406472,-1259089,2606604,333652,46400,-79532,-21872,3618,67,1142,-562,352,-72,28,-4,1'], 'sex': ['-94,-1,1', '120,-56,18,-1,1'], 'sib': ['2240104,-2173112,848594,399219,-156265,43562,-23471,119,-297,-109,38,-2,1', '3136,0,2352,0,-392,0,183,0,27,0,5,0,1', '529,0,-147,0,71,0,10,0,1']}, 'subfield_mults': [1], 'subfields': ['1.-2.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{2} a^{2} - \\frac{1}{2} a \\)', '\\( \\frac{1}{4} a^{4} - \\frac{1}{2} a^{3} + \\frac{1}{4} a^{2} - 1 \\)', '\\( \\frac{1}{4} a^{5} - \\frac{3}{4} a^{4} + \\frac{5}{4} a^{3} - \\frac{7}{4} a^{2} \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2*a', '1/2*a^3 - 1/2*a', '1/4*a^4 - 1/4*a^2', '1/4*a^5 - 1/4*a^3']}