-
nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 23, 'dirichlet_group': [], 'disc_abs': 87579030453634096837343451956922810368, 'disc_rad': 46, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[11, 2], [1, 1]]], [5, [[22, 1], [1, 1]]], [7, [[22, 1], [1, 1]]], [11, [[22, 1], [1, 1]]], [13, [[11, 2], [1, 1]]], [17, [[22, 1], [1, 1]]], [19, [[22, 1], [1, 1]]], [23, [0]], [29, [[11, 2], [1, 1]]], [31, [[11, 2], [1, 1]]], [37, [[22, 1], [1, 1]]], [41, [[11, 2], [1, 1]]], [43, [[22, 1], [1, 1]]], [47, [[23, 1]]], [53, [[22, 1], [1, 1]]], [59, [[11, 2], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [484, 527], 'galois_label': '23T4', 'galt': 4, 'grd': 50.83747447492002, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '23.1.87579030453634096837343451956922810368.1', 'local_algs': ['2.23.22.1', '23.23.23.12'], 'monogenic': 1, 'num_ram': 2, 'r2': 11, 'ramps': [2, 23], 'rd': 44.6343866265, 'regulator': {'__RealLiteral__': 0, 'data': '14787749883.9', 'prec': 44}, 'res': {'sib': ['39266707,423361736,1881700127,4295844136,4885226473,713741658,-5771830151,-7892293462,-2122883647,7213758594,10085903673,1759238398,-8319126059,-8018627908,858746331,6679791836,4026086060,-1838154710,-3861446678,-1278408034,1623949270,1667190236,-70486352,-910600880,-336568568,287397466,233764870,-42729906,-92470350,-5361208,25709216,4743612,-5484695,-1383358,978167,271630,-150995,-39330,19987,3910,-2277,-184,253,0,-23,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a - 1 \\)', '\\( a^{12} - a - 1 \\)', '\\( a^{22} - a^{20} + a^{18} - a^{16} + a^{14} - a^{12} + a^{11} + a^{10} - a^{9} - a^{8} + a^{7} + a^{6} - a^{5} - a^{4} + a^{3} + a^{2} - 2 a - 1 \\)', '\\( a^{21} + a^{19} + a^{17} + a^{15} + a^{13} + a^{11} + a^{9} + a^{7} + a^{5} + a^{3} + a + 1 \\)', '\\( a^{21} - a^{19} + a^{16} - a^{14} + a^{8} - a^{6} - a^{5} + 2 a^{3} - a - 1 \\)', '\\( a^{21} - a^{19} + a^{17} - a^{15} - a^{10} + a^{8} - a^{6} + a^{4} + a - 1 \\)', '\\( a^{22} + a^{21} + a^{16} + a^{15} + a^{14} - a^{12} - a^{11} - a^{10} + a^{8} + a^{7} + a^{6} - a^{5} - 2 a^{4} - 2 a^{3} - 2 a^{2} + 1 \\)', '\\( a^{20} - a^{19} - a^{18} + a^{17} - a^{13} + a^{12} + a^{11} - 2 a^{10} + a^{8} + a^{6} - a^{5} - 2 a^{4} + 2 a^{3} - 2 a + 1 \\)', '\\( a^{22} - a^{21} + a^{20} - a^{18} + a^{17} - a^{16} - a^{15} + a^{14} - a^{13} - a^{12} + a^{11} - a^{10} - a^{9} + 2 a^{8} - a^{7} - a^{6} + 3 a^{5} - a^{4} + 3 a^{2} - 2 a + 1 \\)', '\\( a^{22} - a^{20} - a^{19} + 2 a^{18} - a^{16} - a^{15} + a^{14} + a^{13} - a^{12} - a^{10} + a^{9} - a^{6} - a^{5} + 2 a^{4} - 2 a + 1 \\)', '\\( a^{20} + a^{19} - 2 a^{17} - a^{16} - 2 a^{13} - 3 a^{12} - a^{11} - 2 a^{8} - a^{7} + a^{6} + 2 a^{5} + a^{4} + 2 a^{2} + 3 a + 3 \\)'], 'used_grh': True, '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', 'a^13', 'a^14', 'a^15', 'a^16', 'a^17', 'a^18', 'a^19', 'a^20', 'a^21', 'a^22']}
Number field data - 23.1.87579030453634096837343451956922810368.1