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lfunc_lfunctions • Show schema
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{'Lhash': '3861512795264197839788825282705', 'a10': [0.0, 5.459801773554336], 'a2': [0.0, -2.3521836280203248], 'a3': [1.1207748553415589, -1.3205543243782543], 'a4': [-3.532767819926858, 0.0], 'a5': [-2.3211630709926694, 0.0], 'a6': [-3.106186261713971, -2.636268265431263], 'a7': [0.0, 1.0], 'a8': [0.0, 3.605351371588361], 'a9': [-0.4877274472682155, -2.9600881637514163], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.8567744176278445, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.1207748553415589, 1.3205543243782543]]], [7, [[1.0, 0], [0, -1.0]]], [23, [[1.0, 0], [-3.6631049476878634, -3.0954260033515086]]]], 'bad_primes': [3, 7, 23], 'central_character': '483.344', 'coefficient_field': 'CDF', 'conductor': 483, 'conductor_radical': 483, 'conjugate': '538452771421365490570646002885', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 2.3521836280203248], [-2.0, 0]], [[1.0, 0], [-1.1207748553415589, 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{'__RealLiteral__': 0, 'data': '4.87907041505733837936590546007', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.8567744176278445, 'bad_primes': [3, 7, 23], 'central_character': '69.68', 'conductor': 483, 'conductor_radical': 483, 'degree': 2, 'index': 47, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/483/2/e/a/344/3'], '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': '2-483-69.68-c1-0-47', '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': '2-483-69.68-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9638672097745928, 'root_angle': -0.276331875336542, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '3.04619647919463473649668866087', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3861512795264197839788825282705', 'Lhash_array': ['3861512795264197839788825282705'], 'label': '2-483-69.68-c1-0-47', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/483/2/e/a/344/3'}