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lfunc_lfunctions • Show schema
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'6.98303400688463452012224236255429', '7.05712120404434002659193476877212', '7.09825900081736793333784517746110', '7.09837508539968344005716826438292', '7.17834850056224694965860706185763', '7.44880900547427016606311017336367', '7.51650823590071970908459483520281', '7.52039896978853328407497097126186', '7.54808782091197979962335414203909', '7.66575819419332686773212828866813', '7.80600883113204285897495974897434', '7.926414769801311491748815732740371', '8.074455861832779624461330221916679', '8.086153417906748495330175692895789', '8.162552724395542801554122752418192', '8.175655138413656504386454207909733'], 'prelabel': '16-84e16-1.1-c1e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.506160381061377, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e8-0', 'trace_hash': 1917093002128470730, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.02950389597638807702754808242', 'prec': 103}, 'z2': {'__RealLiteral__': 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 101551287313236.22, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 6144245739270881311250517590016, 'conductor_radical': 42, 'degree': 16, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 16, 0, 580, 0, 6064, 0, 111334, 0, 733744, 0, 8491780, 0, 28344976, 0, 214358881], 'euler13': [1, 0, 0, 0, 292, 0, 0, 0, 78438, 0, 0, 0, 8339812, 0, 0, 0, 815730721], 'euler17': [1, 0, -120, 0, 6532, 0, -210600, 0, 4396998, 0, -60863400, 0, 545559172, 0, -2896508280, 0, 6975757441], 'euler19': [1, 0, -56, 0, 1756, 0, -47432, 0, 1062886, 0, -17122952, 0, 228843676, 0, -2634569336, 0, 16983563041], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '16-84e16-1.1-c1e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.506160381061377, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e8-0', 'trace_hash': 1917093002128470730, 'z1': {'__RealLiteral__': 0, 'data': '0.02950389597638807702754808242', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '37400631443539588197329583872,144076784994991666778509256395,757146392081084259718160420101,997878071506542408130876873739,1170021738911250021727780796528,1185949088599993212387778093120,1197901479934775886990761239323,1335072557240660965780651700758', 'Lhash_array': ['37400631443539588197329583872', '144076784994991666778509256395', '757146392081084259718160420101', '997878071506542408130876873739', '1170021738911250021727780796528', '1185949088599993212387778093120', '1197901479934775886990761239323', '1335072557240660965780651700758'], 'label': '16-84e16-1.1-c1e8-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/7056/2/h/l'}