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lfunc_lfunctions • Show schema
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 78.0257547452161, 'bad_primes': [], 'central_character': '1.1', 'conductor': 1, 'conductor_radical': 1, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1/112/a/a/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': '2-1-1.1-c111-0-8', 'motivic_weight': 111, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [111], 'order_of_vanishing': 0, 'prelabel': '2-1-1.1-c111-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.833218821314013, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c111-0', 'z1': {'__RealLiteral__': 0, 'data': '1.78662405374143689261168904758', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2264815054107524860266365033352', 'Lhash_array': ['2264815054107524860266365033352'], 'label': '2-1-1.1-c111-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1/112/a/a/1/8'}