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lfunc_lfunctions • Show schema
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{'Lhash': '4478435315509602356788720081332', 'a10': [-2970.687718166012, 0.0], 'a2': [5.608157319497021, 0.0], 'a3': [5.22370617773788, 0.0], 'a4': [-480.54857147977197, 0.0], 'a5': [-529.7083424957208, 0.0], 'a6': [29.295366035582504, 0.0], 'a7': [-3708.2441870473344, 0.0], 'a8': [-5566.3685361005955, 0.0], 'a9': [-19655.712893768665, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.665394197802606, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[11, [[1.0, 0], [14641.0, 0]]]], 'bad_primes': [11], 'central_character': '11.1', 'coefficient_field': 'CDF', 'conductor': 11, 'conductor_radical': 11, 'conjugate': '4478435315509602356788720081332', 'degree': 2, 'euler_factors': [[[1.0, 0], [-5.608157319497021, 0], [512.0, 0]], [[1.0, 0], [-5.22370617773788, 0], [19683.0, 0]], [[1.0, 0], [529.7083424957208, 0], [1953125.0, 0]], [[1.0, 0], [3708.2441870473344, 0], [40353607.0, 0]], [[1.0, 0], [14641.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.665394197802606, 'bad_primes': [11], 'central_character': '1.1', 'conductor': 11, 'conductor_radical': 11, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/11/10/a/a/1/2'], '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': '2-11-1.1-c9-0-6', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 1, 'prelabel': '2-11-1.1-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.3802088559205483, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '3.53286253696665252586690407602', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4478435315509602356788720081332', 'Lhash_array': ['4478435315509602356788720081332'], 'factors': ['2-11-1.1-c9-0-6'], 'label': '2-11-1.1-c9-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/11/10/a/a/1/2'}