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lfunc_lfunctions • Show schema
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'8.979739549251866188513315864863247'], 'prelabel': '2-3e2-1.1-c99-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 23.63491093028666, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c99-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.62943717670595377240499103177', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.23005032908389101065810638461', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.22372787963539950314157526171', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 558.609014682584, 'bad_primes': [3], 'central_character': '1.1', 'conductor': 9, 'conductor_radical': 3, 'degree': 2, 'index': 40, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9/100/a/d/1/8'], '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': '2-3e2-1.1-c99-0-40', 'motivic_weight': 99, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [99], 'order_of_vanishing': 1, 'prelabel': '2-3e2-1.1-c99-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 23.63491093028666, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c99-0', 'z1': {'__RealLiteral__': 0, 'data': '1.62943717670595377240499103177', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2065557015085493794777527975659', 'Lhash_array': ['2065557015085493794777527975659'], 'factors': ['2-3e2-1.1-c99-0-40'], 'label': '2-3e2-1.1-c99-0-40', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9/100/a/d/1/8'}