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lfunc_lfunctions • Show schema
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{'Lhash': '801735658892603251567193770849', 'a10': [0.5103695532506821, 1.5492196439170212], 'a2': [0.5158060280748649, -0.5158060280748649], 'a3': [0.0, 0.0], 'a4': [0.0, 1.4678882828032636], 'a5': [-1.0070162368435511, 1.9964764708689788], 'a6': [0.0, 0.0], 'a7': [1.6725791601671274, 2.04999486657275], 'a8': [1.788757680960115, 1.788757680960115], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.545862991011, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.0070162368435511, -1.9964764708689788]]], [7, [[1.0, 0], [-1.6725791601671274, -2.04999486657275]]]], 'bad_primes': [3, 5, 7], 'central_character': '945.433', 'coefficient_field': 'CDF', 'conductor': 945, 'conductor_radical': 105, 'conjugate': '2832239858270877859366034060027', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5158060280748649, 0.5158060280748649], [0, -2.0]], [[1.0, 0], [0, 0]], [[1.0, 0], 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'-0.321464186298', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.63245791762198334427205516473', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.87091569124683343032652335573', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.81879479284327693347385458926', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.545862991011, 'bad_primes': [3, 5, 7], 'central_character': '35.13', 'conductor': 945, 'conductor_radical': 105, 'degree': 2, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/945/2/p/b/433/15'], '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': '2-945-35.13-c1-0-16', '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': '2-945-35.13-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.746973423790445, 'root_angle': -0.32146418629816853, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.63245791762198334427205516473', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '801735658892603251567193770849', 'Lhash_array': ['801735658892603251567193770849'], 'label': '2-945-35.13-c1-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/945/2/p/b/433/15'}