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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [13, -10, 40, -17, 42, -11, 24, -5, 8, -1, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 114445392399, 'disc_rad': 18057, 'disc_sign': -1, 'frobs': [[2, [[8, 1], [2, 1]]], [3, [0]], [5, [[8, 1], [2, 1]]], [7, [[5, 1], [4, 1], [1, 1]]], [11, [[8, 1], [2, 1]]], [13, [0]], [17, [[4, 2], [2, 1]]], [19, [[4, 1], [2, 2], [1, 2]]], [23, [[2, 5]]], [29, [[10, 1]]], [31, [[4, 1], [2, 2], [1, 2]]], [37, [[4, 1], [2, 2], [1, 2]]], [41, [[8, 1], [2, 1]]], [43, [[5, 1], [2, 2], [1, 1]]], [47, [[8, 1], [2, 1]]], [53, [[4, 2], [2, 1]]], [59, [[8, 1], [2, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [400, 600, 400], 'galois_label': '10T33', 'galt': 33, 'grd': 255.15767552839412, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.0.114445392399.1', 'local_algs': ['3.2.1.2', '3.8.4.1', '13.1.0.1', '13.1.0.1', '13.4.3.3', '13.4.0.1', 'm463.1.1.0', 'm463.1.1.0', 'm463.2.1.1', 'm463.2.1.1', 'm463.1.4.0'], 'monogenic': 0, 'num_ram': 3, 'r2': 5, 'ramps': [3, 13, 463], 'rd': 12.7602690407, 'regulator': {'__RealLiteral__': 0, 'data': '109.22995726', 'prec': 40}, 'res': {}, 'subfield_mults': [1], 'subfields': ['1.-1.1'], 'torsion_gen': '\\( -\\frac{77}{214} a^{9} + \\frac{31}{107} a^{8} - \\frac{270}{107} a^{7} + \\frac{227}{214} a^{6} - \\frac{1373}{214} a^{5} + \\frac{205}{107} a^{4} - \\frac{1024}{107} a^{3} + \\frac{621}{214} a^{2} - \\frac{1197}{214} a + \\frac{245}{214} \\)', 'torsion_order': 6, 'units': ['\\( \\frac{31}{107} a^{9} + \\frac{7}{107} a^{8} + \\frac{191}{107} a^{7} + \\frac{124}{107} a^{6} + \\frac{468}{107} a^{5} + \\frac{388}{107} a^{4} + \\frac{680}{107} a^{3} + \\frac{631}{107} a^{2} + \\frac{336}{107} a + \\frac{485}{107} \\)', '\\( \\frac{18}{107} a^{9} - \\frac{27}{107} a^{8} + \\frac{104}{107} a^{7} - \\frac{142}{107} a^{6} + \\frac{182}{107} a^{5} - \\frac{396}{107} a^{4} + \\frac{205}{107} a^{3} - \\frac{569}{107} a^{2} + \\frac{95}{107} a - \\frac{281}{107} \\)', '\\( \\frac{51}{214} a^{9} - \\frac{65}{107} a^{8} + \\frac{183}{107} a^{7} - \\frac{759}{214} a^{6} + \\frac{801}{214} a^{5} - \\frac{882}{107} a^{4} + \\frac{549}{107} a^{3} - \\frac{2593}{214} a^{2} + \\frac{715}{214} a - \\frac{1135}{214} \\)', '\\( \\frac{108}{107} a^{9} - \\frac{55}{107} a^{8} + \\frac{731}{107} a^{7} - \\frac{103}{107} a^{6} + \\frac{1841}{107} a^{5} - \\frac{22}{107} a^{4} + \\frac{2835}{107} a^{3} + \\frac{10}{107} a^{2} + \\frac{1747}{107} a + \\frac{347}{107} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', '1/214*a^9 + 26/107*a^8 - 9/107*a^7 - 103/214*a^6 - 85/214*a^5 - 11/107*a^4 - 27/107*a^3 - 97/214*a^2 + 35/214*a - 81/214']}
Number field data - 10.0.114445392399.1