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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -2, -1, 1, -1, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 22687, 'disc_rad': 3241, 'disc_sign': -1, 'frobs': [[2, [[5, 1]]], [3, [[3, 1], [2, 1]]], [5, [[4, 1], [1, 1]]], [7, [0]], [11, [[4, 1], [1, 1]]], [13, [[3, 1], [2, 1]]], [17, [[2, 2], [1, 1]]], [19, [[4, 1], [1, 1]]], [23, [[4, 1], [1, 1]]], [29, [[5, 1]]], [31, [[5, 1]]], [37, [[3, 1], [2, 1]]], [41, [[3, 1], [2, 1]]], [43, [[5, 1]]], [47, [[5, 1]]], [53, [[4, 1], [1, 1]]], [59, [[5, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60, 60], 'galois_label': '5T5', 'galt': 5, 'grd': 56.929781309961136, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.3.22687.1', 'local_algs': ['7.1.0.1', '7.4.2.2', 'm463.1.1.0', 'm463.1.2.0', 'm463.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 1, 'ramps': [7, 463], 'rd': 7.43285078176, 'regulator': {'__RealLiteral__': 0, 'data': '1.95362445218', 'prec': 44}, 'res': {'sib': ['-127,-412,-618,-315,123,237,402,219,-246,-239,53,88,-4,-15,0,1', '-3475,3790,12744,-709,-46755,-1525,107218,-28271,-160239,128375,126869,-253609,31454,262114,-185341,-136808,200171,14521,-116781,26197,41135,-18149,-8506,5950,806,-1112,34,114,-15,-5,1', '-51771,-101774,-46250,-108832,-157773,-40341,-41805,-44479,17493,-27260,17998,-8585,2477,906,-887,415,-61,-33,21,-7,1', '1,-5,31,-118,238,-512,825,-425,-395,441,108,-246,-83,228,-58,-47,2,25,-8,-2,1', '1,1,-1,3,-12,-3,-5,-4,3,-1,1', '142496,-31184,26984,11928,2214,1345,-25,-22,-3,-3,1', '1567260256,6882728704,26181124720,65102042532,-81791931328,-300186946811,248734292683,-124613450135,129774862835,154326051218,-7760137631,-43674601921,26463523891,-24213411512,-14194426222,10846324437,5493891456,-5497813012,219191513,2256167481,-299663306,-853662583,73990149,168675429,39685345,-34545074,-10218665,130465,4105710,-229756,-335681,-86598,38602,10813,-509,-1631,-64,139,5,-9,1', '1603424,-1883088,3299616,-2691880,3455662,-1973965,1796069,-825139,670956,-239364,181013,-51672,32477,-9443,4472,-1096,434,-82,31,-3,1', '1922,1067,-573,-831,63,315,64,-126,15,0,11,-6,1', '616,167,57,-38,-2,-1,1', '6564640,-42642576,126525984,-199372908,153836354,-9129481,-51980854,-24178014,66121742,-12024974,-15500212,-18360313,32549142,-10645539,-2935932,1643119,-219202,595569,-333766,-118824,157913,-45324,-1178,3678,-304,-497,143,-15,6,-3,1', '72811,-180617,432554,-870119,1044158,-1007124,1271280,-1946619,2201270,-2546350,2989445,-2735662,2448391,-1650880,1267402,-780027,495986,-267574,137162,-64398,26053,-11285,4478,-1510,322,11,18,-18,16,-4,1', '7582208,-20286144,30700256,-24820736,16233208,-9892268,7408506,-3712263,1451059,-734262,494510,-149014,23404,-12510,17050,-911,715,-846,-42,-207,77,37,2,-6,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{4} - a^{3} + a^{2} - a - 2 \\)', '\\( a^{4} + a^{2} - 2 \\)', '\\( a^{4} - a^{3} + a^{2} - 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}
Number field data - 5.3.22687.1