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lfunc_lfunctions • Show schema
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{'Lhash': '3454427692030014708142166824912', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [2.99363428513605, -0.19532989238202153], 'a4': [0.0, 0.0], 'a5': [-2.501182267858639, -6.8719418028819135], 'a6': [0.0, 0.0], 'a7': [-1.6272933435801322, -9.228839154630919], 'a8': [0.0, 0.0], 'a9': [8.923692466284056, -1.1694925254935091], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.9427868550912066, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-2.99363428513605, 0.19532989238202153]]]], 'bad_primes': [2, 3], 'central_character': '108.5', 'coefficient_field': 'CDF', 'conductor': 108, 'conductor_radical': 6, 'conjugate': '1762519468146175789316682277614', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-2.99363428513605, 0.19532989238202153]], [[1.0, 0], [2.501182267858639, 6.8719418028819135], [-19.151111077974452, 16.06969024216348]], [[1.0, 0], [1.6272933435801322, 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'5.74390645702711255276262332204', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.9427868550912066, 'bad_primes': [2, 3], 'central_character': '27.5', 'conductor': 108, 'conductor_radical': 6, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/108/3/k/a/5/6'], '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': '2-108-27.5-c2-0-5', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-108-27.5-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.715455290904198, 'root_angle': 0.15407546020485965, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '2.72506295615532799070816481250', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3454427692030014708142166824912', 'Lhash_array': ['3454427692030014708142166824912'], 'label': '2-108-27.5-c2-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/108/3/k/a/5/6'}