-
nf_fields • Show schema
Hide schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-3, 4, -2, -2, 4, -3, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 248261, 'disc_rad': 1469, 'disc_sign': 1, 'frobs': [[2, [[6, 1]]], [3, [[3, 1], [2, 1], [1, 1]]], [5, [[4, 1], [2, 1]]], [7, [[6, 1]]], [11, [[6, 1]]], [13, [0]], [17, [[3, 1], [2, 1], [1, 1]]], [19, [[4, 1], [2, 1]]], [23, [[3, 1], [2, 1], [1, 1]]], [29, [[3, 1], [2, 1], [1, 1]]], [31, [[6, 1]]], [37, [[4, 1], [2, 1]]], [41, [[6, 1]]], [43, [[3, 1], [2, 1], [1, 1]]], [47, [[4, 1], [2, 1]]], [53, [[3, 2]]], [59, [[4, 1], [2, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [36, 36], 'galois_label': '6T13', 'galt': 13, 'grd': 38.3275357934736, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.2.248261.1', 'local_algs': ['13.2.1.1', '13.2.1.1', '13.2.1.1', '113.1.0.1', '113.1.0.1', '113.2.1.2', '113.2.0.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 2, 'ramps': [13, 113], 'rd': 7.92777684174, 'regulator': {'__RealLiteral__': 0, 'data': '2.35522924434', 'prec': 44}, 'res': {'sex': ['-16,7,8,-5,-1,-2,1'], 'sib': ['-1,-1,2,-1,-15,-13,-54,-40,-13,-63,13,-40,54,-13,15,-1,-2,-1,1', '-1,3,-5,2,3,-1,-2,2,-1,1', '-16,7,8,-5,-1,-2,1', '-163,-273,-417,-204,436,-597,-31,529,-677,448,-161,64,-68,46,-7,-9,8,-4,1', '-17923,-29031,20999,85939,-47193,-54049,33465,32279,-49475,27340,-6842,194,-221,472,-199,5,22,-8,1', '1,-1,6,-7,11,-20,21,-20,11,-7,6,-1,1', '1728,-2016,864,256,-116,-282,379,-187,56,-32,18,-6,1', '208,1196,1429,-357,-456,-21,-135,173,22,21,5,-2,1', '33111,6630,-18301,2450,1331,-1710,78,678,15,-46,-14,0,1', '44,-167,218,-173,188,52,-18,-10,-2,-2,-3,0,1', '83,47,-4,61,88,-105,67,-14,-24,12,-3,-1,1', '28561,57122,41743,-35152,50193,-28223,-49426,141557,139322,-228604,218349,-217229,107501,98266,32883,-157228,60334,-36549,56594,25571,-42027,-25308,18137,14502,702,-8789,-2613,3160,1366,-702,-416,63,94,4,-14,-1,1', '36725,124865,-3069,-972566,-2165299,-265466,4912950,3486764,-6069178,-5316501,6469672,3742150,-6250676,-1893155,5423996,-3485,-2779371,629158,405323,-89253,55951,-73358,35756,-25876,-4219,23071,-13661,1860,2577,-2468,900,108,-235,78,1,-6,1', '42849,177399,174953,-280379,-403887,495260,810725,-305285,-594376,183981,233342,-103686,-18979,59995,5219,-1978,4278,272,449,400,-41,11,14,-4,1', '729,972,-810,-1971,-747,1275,4754,7349,2592,-3676,2159,32,5743,11976,12803,3061,9028,-148,3147,5889,-381,2404,3135,-3059,1263,413,-516,51,287,-299,192,-165,113,-46,17,-6,1', '832,-7696,33908,-93214,179217,-260848,317985,-372087,452741,-532214,539330,-440677,286216,-151619,73345,-39104,24251,-15099,8220,-3672,1322,-374,80,-12,1']}, 'subfield_mults': [1], 'subfields': ['-3.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{5} - 2 a^{4} + 2 a^{3} - 2 a + 2 \\)', '\\( a^{3} - a^{2} + 1 \\)', '\\( a^{5} - 2 a^{4} + a^{3} + a^{2} - 2 a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}