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lfunc_lfunctions • Show schema
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{'Lhash': '1631157367573334864439138306357', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.05114592494652391, 0.0], 'a4': [0.0, 0.0], 'a5': [-0.34239571447564093, 0.0], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [-2.9973840943613643, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 43.821900629278694, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 7], 'central_character': '5488.1', 'coefficient_field': 'CDF', 'conductor': 5488, 'conductor_radical': 14, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.05114592494652391, 0], [3.0, 0]], [[1.0, 0], [0.34239571447564093, 0], [5.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.070038127145218, 0], [11.0, 0]], [[1.0, 0], [-4.568195036585752, 0], [13.0, 0]], [[1.0, 0], [3.0325815489778036, 0], [17.0, 0]], [[1.0, 0], [-5.966575038332005, 0], [19.0, 0]], [[1.0, 0], [0.3648471857541802, 0], 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'6.04090000876731383795543991883709', '7.25242832252786804281019570958126', '7.80145137149241511237525099976285'], 'prelabel': '2-5488-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.619811223084741, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.28675627754182362974753625273', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.48915087601228680277231954505', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.22625662380822497252418926754', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 43.821900629278694, 'bad_primes': [2, 7], 'central_character': '1.1', 'conductor': 5488, 'conductor_radical': 14, 'degree': 2, 'index': 100, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/5488/2/a/s/1/5'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-5488-1.1-c1-0-100', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-5488-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.619811223084741, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.28675627754182362974753625273', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1631157367573334864439138306357', 'Lhash_array': ['1631157367573334864439138306357'], 'factors': ['2-5488-1.1-c1-0-100'], 'label': '2-5488-1.1-c1-0-100', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/5488/2/a/s/1/5'}