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lfunc_lfunctions • Show schema
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{'Lhash': '3228386266228910213835406826017', 'a10': [-0.1923772261175083, 0.33320712985469075], 'a2': [0.984807753012208, -0.17364817766693036], 'a3': [-0.266044443118978, 1.508813013470978], 'a4': [0.9396926207859084, -0.3420201433256687], 'a5': [-0.24731539466840008, 0.2947390100999207], 'a6': [-8.562370233920474e-61, 1.532088886237956], 'a7': [-2.500476074004807, -2.0981485514650466], 'a8': [0.8660254037844386, -0.5], 'a9': [0.6133407984528387, 0.22323779409789932], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.984807753012208, 0.17364817766693036]]], [37, [[1.0, 0], [-0.543195917646424, 6.0584600514530305]]]], 'bad_primes': [2, 37], 'central_character': '74.65', 'coefficient_field': 'CDF', 'conductor': 74, 'conductor_radical': 74, 'conjugate': '4219559682964274122281275943022', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.984807753012208, 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'data': '2.54674771238042052571562338493', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.65317876991440684369376646399', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.33084835150046139026160270806', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'bad_primes': [2, 37], 'central_character': '37.28', 'conductor': 74, 'conductor_radical': 74, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/74/2/h/a/65/2'], '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': '2-74-37.28-c1-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-74-37.28-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7686956321961738, 'root_angle': -0.054227460919751676, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.54674771238042052571562338493', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3228386266228910213835406826017', 'Lhash_array': ['3228386266228910213835406826017'], 'label': '2-74-37.28-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/74/2/h/a/65/2'}