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lfunc_lfunctions • Show schema
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{'Lhash': '3421225874572778469396425800332', 'a10': [-1.5799433286367772, -1.9811862698653093], 'a2': [-0.2225209339563144, 0.9749279121818236], 'a3': [1.9828698476620823, -2.4864401437155386], 'a4': [-0.9009688679024191, -0.4338837391175581], 'a5': [-1.5799433286367772, 1.9811862698653093], 'a6': [1.9828698476620823, 2.4864401437155386], 'a7': [2.5431409721922495, -0.7296807490656854], 'a8': [0.6234898018587335, -0.7818314824680298], 'a9': [-1.5830489536437566, -6.935790641434761], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.7825339398085481, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.2225209339563144, -0.9749279121818236]]], [7, [[1.0, 0], [-2.5431409721922495, 0.7296807490656854]]]], 'bad_primes': [2, 7], 'central_character': '98.15', 'coefficient_field': 'CDF', 'conductor': 98, 'conductor_radical': 14, 'conjugate': '2732214932015315374192753639802', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.7825339398085481, 'bad_primes': [2, 7], 'central_character': '49.15', 'conductor': 98, 'conductor_radical': 14, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/98/2/e/a/15/3'], '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': '2-98-49.15-c1-0-2', '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': '2-98-49.15-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8846094843537164, 'root_angle': 0.01310025421026449, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.69887134038102981899322905485', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3421225874572778469396425800332', 'Lhash_array': ['3421225874572778469396425800332'], 'label': '2-98-49.15-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/98/2/e/a/15/3'}