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lfunc_lfunctions • Show schema
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{'Lhash': '676555725057760756889488381569', 'a10': [0.5314853821227506, -5.170772974483783], 'a2': [-0.795068030004659, 2.1844314593680707], 'a3': [-1.1311299710510205, 0.19944873258427984], 'a4': [-2.607518742103473, -2.187968014786869], 'a5': [-2.1684010857716376, 0.5459274047200622], 'a6': [0.4636431917745713, -2.6294512043006533], 'a7': [-0.12410325585589697, -0.07165104817571112], 'a8': [2.8262551079201703, -1.631739147356265], 'a9': [-1.5794026478773182, 0.5748555517485678], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.758578819202164, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [2.1684010857716376, -0.5459274047200622]]], [19, [[1.0, 0], [2.820873581013853, -3.3230516456922663]]]], 'bad_primes': [5, 19], 'central_character': '95.4', 'coefficient_field': 'CDF', 'conductor': 95, 'conductor_radical': 95, 'conjugate': '5348433725439505444306384032292', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'0.412302459321', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.53370836170152313020998354182', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.02670088330995583387424065682', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.46690924774267269335816666339', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.758578819202164, 'bad_primes': [5, 19], 'central_character': '95.4', 'conductor': 95, 'conductor_radical': 95, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/95/2/p/a/4/2'], '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': '2-95-95.4-c1-0-0', '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': '2-95-95.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8709643042066443, 'root_angle': 0.4123024593205143, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.53370836170152313020998354182', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '676555725057760756889488381569', 'Lhash_array': ['676555725057760756889488381569'], 'label': '2-95-95.4-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/95/2/p/a/4/2'}