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lfunc_lfunctions • Show schema
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{'Lhash': '1806367768147592017345945081317', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [1.1812570327465637, 1.1812570327465637], 'a6': [0, 0], 'a7': [1.0, 0], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 32.19568209498026, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 3, 7], 'central_character': '4032.1583', 'coefficient_field': 'CDF', 'conductor': 4032, 'conductor_radical': 42, 'conjugate': '54170884458363430863528630908', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.1812570327465637, -1.1812570327465637], [0, 5.0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [1.8189279289149927, -1.8189279289149927], [0, -11.0]], [[1.0, 0], [3.252982044475625, 3.252982044475625], [0, 13.0]], [[1.0, 0], [0, -1.3243461979075397], [-17.0, 0]], [[1.0, 0], 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'1.42497291274296821405015196264', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.31140717465646639222262024085', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.22186000837311624864730340454', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 32.19568209498026, 'bad_primes': [2, 3, 7], 'central_character': '48.35', 'conductor': 4032, 'conductor_radical': 42, 'degree': 2, 'index': 42, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/4032/2/v/d/1583/13'], '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': '2-4032-48.35-c1-0-42', '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': '2-4032-48.35-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.674123905501206, 'root_angle': 0.4203974212235994, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.42497291274296821405015196264', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1806367768147592017345945081317', 'Lhash_array': ['1806367768147592017345945081317'], 'label': '2-4032-48.35-c1-0-42', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/4032/2/v/d/1583/13'}