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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 1, 4, -3, -1, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 18463, 'disc_rad': 18463, 'disc_sign': -1, 'frobs': [[2, [[5, 1]]], [3, [[4, 1], [1, 1]]], [5, [[3, 1], [2, 1]]], [7, [[4, 1], [1, 1]]], [11, [[4, 1], [1, 1]]], [13, [[5, 1]]], [17, [[3, 1], [1, 2]]], [19, [[5, 1]]], [23, [[5, 1]]], [29, [[3, 1], [2, 1]]], [31, [[3, 1], [2, 1]]], [37, [0]], [41, [[3, 1], [2, 1]]], [43, [[3, 1], [2, 1]]], [47, [[5, 1]]], [53, [[3, 1], [2, 1]]], [59, [[2, 2], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60, 60], 'galois_label': '5T5', 'galt': 5, 'grd': 135.87862230682205, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.3.18463.1', 'local_algs': ['37.2.1.2', '37.3.0.1', 'm499.2.1.1', 'm499.1.3.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 1, 'ramps': [37, 499], 'rd': 7.13280668679, 'regulator': {'__RealLiteral__': 0, 'data': '1.93552863121', 'prec': 44}, 'res': {'sib': ['-175244000,75988224,120733280,-43685940,-109511060,-18281831,39686378,17969209,-5422491,-4896987,-153162,665317,139276,-47074,-19300,1379,1351,24,-53,-2,1', '-3721,-7209,1845,11601,-1878,-9965,-3480,4121,2515,-815,-715,107,98,-12,-6,1', '1,-4,-4,17,6,-31,1,22,-5,-3,1', '1370744695648,-590828839680,714003736400,-251454172900,237629143332,-136757131923,40038803526,-10190278401,1337752638,254696682,-98451659,25451061,-3605798,-452277,134470,-18679,2307,539,-110,-4,1', '1388392273324544569,0,-1997059201128346381,0,1483161959366990470,0,-754691918238704598,0,292765175611826853,0,-91318149898098680,0,23635075427791995,0,-5179044315679582,0,973056090407288,0,-157919385655592,0,22212793348501,0,-2707245521413,0,284771444222,0,-25647983861,0,1952487957,0,-123160077,0,6246606,0,-243475,0,6796,0,-120,0,1', '179072579831,-238423387343,548586465276,1167286548397,-1130558706208,-647668468197,1464037846169,-749226112966,161338387574,61361135869,-90289704477,26360753966,2667377564,-2986039223,2219255168,-500463747,10667676,157410619,-58556735,-5392248,11187323,-1507480,-880408,268058,35364,-19337,70,769,-40,-12,1', '2010258592,-1012108492,2353951537,249934679,-16941899,662427361,530420672,-512015193,407933001,-38808380,-30542927,15230225,11716243,-11230035,4439425,-1067780,119959,-18091,8469,-3194,721,-8,10,0,1', '3477621869,-20768521133,45137486892,-24292883731,-9811727223,73753460674,-506779033,-28326002488,15864370731,5077331612,-10062390528,757480253,2841586155,-955249821,-318509427,364469912,-32639702,-88116350,17875645,15258407,-3307018,-1919552,383853,170386,-30768,-10106,1694,362,-59,-6,1', '3721,13359,40667,-15670,-105201,595604,1440940,-342924,-3595957,-1801892,3827829,3627285,-2144711,-3316086,783073,1973563,-306914,-889179,156322,308580,-67910,-78515,20257,13825,-3933,-1576,477,104,-33,-3,1', '50752,-12495,1269,114,10,-3,1', '6257126461,394691323,127578801,3503484,-999339,-5213,-5212,-97,182,0,1', '7808,-7615,18978,-18965,633,9109,-632,-1838,188,170,-23,-6,1', '81,-432,747,723,-4117,3690,2692,-7881,4045,208,-2629,1950,-969,271,-124,78,-21,-17,17,-6,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{4} - 3 a^{2} + a + 2 \\)', '\\( a^{4} - a^{3} - 3 a^{2} + 3 a + 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}
Number field data - 5.3.18463.1