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lfunc_lfunctions • Show schema
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{'Lhash': '3604457792894501747448522843595', 'a10': [-1.1439944044252207e-60, -14.76505148290243], 'a2': [-0.8824078288758654, -2.715772048005809], 'a3': [4.905385093335668, 1.7138252787493296], 'a4': [-0.12463828526866902, 0.09055501486535211], 'a5': [4.917612484266644, 1.5978291545790657], 'a6': [0.3258085771828319, -14.834200564479145], 'a7': [-9.451665500001777, -13.009101512543582], 'a8': [-18.12548092661132, -13.16893273373314], 'a9': [21.125605827839568, 16.813945949917613], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.9470630301894412, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-4.905385093335668, -1.7138252787493296]]], [11, [[1.0, 0], [5.099223449130559, -36.12475495025312]]]], 'bad_primes': [3, 11], 'central_character': '33.17', 'coefficient_field': 'CDF', 'conductor': 33, 'conductor_radical': 33, 'conjugate': '2661120289738037945241146787634', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.9470630301894412, 'bad_primes': [3, 11], 'central_character': '33.17', 'conductor': 33, 'conductor_radical': 33, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/33/4/f/a/17/3'], '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': '2-33-33.17-c3-0-5', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-33-33.17-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.395372004230213, 'root_angle': 0.17231409291590447, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.84341583733368694235431141278', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3604457792894501747448522843595', 'Lhash_array': ['3604457792894501747448522843595'], 'label': '2-33-33.17-c3-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/33/4/f/a/17/3'}