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lfunc_lfunctions • Show schema
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{'Lhash': '1557818451266087122776826028540', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, -3.1998773062743595], 'a4': [0, 0], 'a5': [3.9037436871815303, 0], 'a6': [0, 0], 'a7': [0, -2.6466410798144873], 'a8': [0, 0], 'a9': [-1.2392147752096512, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 33.1336001462121, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [0, 4.358898943540674]]]], 'bad_primes': [2, 19], 'central_character': '1216.191', 'coefficient_field': 'CDF', 'conductor': 1216, 'conductor_radical': 38, 'conjugate': '979832487198445632124896137327', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 3.1998773062743595], [-9.0, 0]], [[1.0, 0], [-3.9037436871815303, 0], [25.0, 0]], [[1.0, 0], [0, 2.6466410798144873], [-49.0, 0]], [[1.0, 0], [0, -13.253202380124783], [-121.0, 0]], [[1.0, 0], [1.6004985882276472, 0], [169.0, 0]], [[1.0, 0], [-8.100127206342046, 0], [289.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 33.1336001462121, 'bad_primes': [2, 19], 'central_character': '4.3', 'conductor': 1216, 'conductor_radical': 38, 'degree': 2, 'index': 50, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1216/3/d/d/191/4'], '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': '2-1216-4.3-c2-0-50', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-1216-4.3-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.756179301082629, 'root_angle': 0.25, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.22890207363576015190059390010', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1557818451266087122776826028540', 'Lhash_array': ['1557818451266087122776826028540'], 'label': '2-1216-4.3-c2-0-50', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1216/3/d/d/191/4'}