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lfunc_lfunctions • Show schema
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{'Lhash': '914725356940735742462413517705', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, -3.0], 'a4': [0, 0], 'a5': [0, 5.677631373397086], 'a6': [0, 0], 'a7': [-33.09166070101754, 0], 'a8': [0, 0], 'a9': [-9.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 22.656733442204406, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 3.0]]]], 'bad_primes': [2, 3], 'central_character': '384.193', 'coefficient_field': 'CDF', 'conductor': 384, 'conductor_radical': 6, 'conjugate': '1081857586043193583321855764135', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 3.0]], [[1.0, 0], [0, -5.677631373397086], [-125.0, 0]], [[1.0, 0], [33.09166070101754, 0], [343.0, 0]], [[1.0, 0], [0, -34.62741699796952], [-1331.0, 0]], [[1.0, 0], [0, 82.24208798286135], [-2197.0, 0]], [[1.0, 0], [-97.88225099390856, 0], [4913.0, 0]], [[1.0, 0], [0, -55.88225099390856], [-6859.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 22.656733442204406, 'bad_primes': [2, 3], 'central_character': '8.5', 'conductor': 384, 'conductor_radical': 6, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/384/4/d/f/193/3'], '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': '2-384-8.5-c3-0-9', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-384-8.5-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.759908974151124, 'root_angle': 0.0, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.72159107310488193175810629937', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '914725356940735742462413517705', 'Lhash_array': ['914725356940735742462413517705'], 'label': '2-384-8.5-c3-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/384/4/d/f/193/3'}