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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 4, -2, -7, 1, 11, 2, -12, -5, 7, 6, -3, -3, 0, 1], 'conductor': 0, 'degree': 14, 'dirichlet_group': [], 'disc_abs': 103886084489093, 'disc_rad': 74202173, 'disc_sign': 1, 'frobs': [[2, [[14, 1]]], [3, [[14, 1]]], [5, [[14, 1]]], [7, [[5, 2], [2, 2]]], [11, [[4, 3], [2, 1]]], [13, [[4, 2], [2, 2], [1, 2]]], [17, [[4, 2], [3, 2]]], [19, [[4, 2], [2, 3]]], [23, [[14, 1]]], [29, [[10, 1], [4, 1]]], [31, [[14, 1]]], [37, [[3, 2], [2, 4]]], [41, [[12, 1], [1, 2]]], [43, [[7, 2]]], [47, [[8, 1], [6, 1]]], [53, [0]], [59, [[12, 1], [2, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [322560, 322560, 322560], 'galois_label': '14T57', 'galt': 57, 'grd': 8614.068318744634, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '14.2.103886084489093.1', 'local_algs': ['53.2.1.1', '53.2.0.1', '53.10.0.1', 'm977.1.3.0', 'm977.1.3.0', 'm977.1.4.0', 'm977.2.2.2', 'm1433.2.1.1', 'm1433.2.1.1', 'm1433.1.10.0'], 'monogenic': 0, 'num_ram': 3, 'r2': 6, 'ramps': [53, 977, 1433], 'rd': 10.0272690923, 'regulator': {'__RealLiteral__': 0, 'data': '14.647522546', 'prec': 40}, 'res': {}, 'subfield_mults': [1], 'subfields': ['-1.3.-2.1.-2.0.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( \\frac{10}{7} a^{13} + \\frac{8}{7} a^{12} - \\frac{25}{7} a^{11} - \\frac{50}{7} a^{10} + \\frac{27}{7} a^{9} + \\frac{93}{7} a^{8} + \\frac{9}{7} a^{7} - \\frac{124}{7} a^{6} - \\frac{54}{7} a^{5} + \\frac{85}{7} a^{4} + \\frac{64}{7} a^{3} - \\frac{44}{7} a^{2} - \\frac{44}{7} a + \\frac{16}{7} \\)', '\\( \\frac{10}{7} a^{13} + \\frac{1}{7} a^{12} - \\frac{32}{7} a^{11} - \\frac{36}{7} a^{10} + \\frac{62}{7} a^{9} + \\frac{93}{7} a^{8} - \\frac{40}{7} a^{7} - \\frac{152}{7} a^{6} - \\frac{19}{7} a^{5} + \\frac{127}{7} a^{4} + \\frac{57}{7} a^{3} - \\frac{65}{7} a^{2} - \\frac{51}{7} a + \\frac{23}{7} \\)', '\\( \\frac{2}{7} a^{13} + \\frac{3}{7} a^{12} - \\frac{5}{7} a^{11} - \\frac{17}{7} a^{10} - \\frac{3}{7} a^{9} + \\frac{34}{7} a^{8} + \\frac{27}{7} a^{7} - \\frac{29}{7} a^{6} - \\frac{50}{7} a^{5} + \\frac{3}{7} a^{4} + \\frac{38}{7} a^{3} + \\frac{15}{7} a^{2} - \\frac{13}{7} a - \\frac{8}{7} \\)', '\\( \\frac{19}{7} a^{13} + \\frac{11}{7} a^{12} - \\frac{51}{7} a^{11} - \\frac{88}{7} a^{10} + \\frac{66}{7} a^{9} + \\frac{176}{7} a^{8} + \\frac{1}{7} a^{7} - \\frac{237}{7} a^{6} - \\frac{90}{7} a^{5} + \\frac{172}{7} a^{4} + \\frac{109}{7} a^{3} - \\frac{85}{7} a^{2} - \\frac{85}{7} a + \\frac{43}{7} \\)', '\\( \\frac{22}{7} a^{13} + \\frac{12}{7} a^{12} - \\frac{55}{7} a^{11} - \\frac{96}{7} a^{10} + \\frac{65}{7} a^{9} + \\frac{178}{7} a^{8} + \\frac{10}{7} a^{7} - \\frac{228}{7} a^{6} - \\frac{95}{7} a^{5} + \\frac{152}{7} a^{4} + \\frac{103}{7} a^{3} - \\frac{73}{7} a^{2} - \\frac{73}{7} a + \\frac{38}{7} \\)', '\\( \\frac{19}{7} a^{13} + \\frac{11}{7} a^{12} - \\frac{51}{7} a^{11} - \\frac{88}{7} a^{10} + \\frac{66}{7} a^{9} + \\frac{176}{7} a^{8} + \\frac{1}{7} a^{7} - \\frac{237}{7} a^{6} - \\frac{90}{7} a^{5} + \\frac{172}{7} a^{4} + \\frac{109}{7} a^{3} - \\frac{85}{7} a^{2} - \\frac{78}{7} a + \\frac{43}{7} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', '1/7*a^13 - 2/7*a^12 + 1/7*a^11 + 2/7*a^10 + 2/7*a^9 + 3/7*a^8 + 3/7*a^7 + 3/7*a^6 + 3/7*a^5 - 2/7*a^4 - 2/7*a^3 - 3/7*a^2 - 3/7*a + 3/7']}
Number field data - 14.2.103886084489093.1