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lfunc_lfunctions • Show schema
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{'Lhash': '1522653311377234795260773342303', 'a10': [3.6821679436500427, -0.35188793068560614], 'a2': [0.13453696492305836, 1.407799632429733], 'a3': [0.0, -1.0], 'a4': [-1.9637996101385835, 0.3788021795337869], 'a5': [0.0, -2.615548305901287], 'a6': [1.407799632429733, -0.13453696492305836], 'a7': [0.0, 4.812479703756832], 'a8': [-0.7974812083763773, -2.713673473778036], 'a9': [-1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.641178332170387, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.13453696492305836, -1.407799632429733]]], [3, [[1.0, 0], [0, 1.0]]], [19, [[1.0, 0], [-3.834704437507774, 2.072448280888618]]]], 'bad_primes': [2, 3, 19], 'central_character': '456.379', 'coefficient_field': 'CDF', 'conductor': 456, 'conductor_radical': 114, 'conjugate': '1643160446947984933581684680711', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.13453696492305836, -1.407799632429733]], [[1.0, 0], [0, 1.0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.641178332170387, 'bad_primes': [2, 3, 19], 'central_character': '152.75', 'conductor': 456, 'conductor_radical': 114, 'degree': 2, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/456/2/e/a/379/22'], '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': '2-456-152.75-c1-0-16', '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': '2-456-152.75-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.908187184783083, 'root_angle': -0.1243487540432181, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.20116166955081659435053293113', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1522653311377234795260773342303', 'Lhash_array': ['1522653311377234795260773342303'], 'factors': ['2-456-152.75-c1-0-16'], 'label': '2-456-152.75-c1-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/456/2/e/a/379/22'}