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lfunc_lfunctions • Show schema
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{'Lhash': '1976001151982463985875161780298', 'a10': [-17.607268578839502, -17.607268578839502], 'a2': [3.0033412648213202, 1.7339798877129002], 'a3': [-5.196111651343825, -0.02058413877104778], 'a4': [2.013372501985685, 3.4872634680012764], 'a5': [-6.935483029643029, -1.8583570769126059], 'a6': [-15.570004056464875, -9.071774291112755], 'a7': [16.221586946280937, -4.346561122207219], 'a8': [0.0, -13.779088503736888], 'a9': [26.99915258646211, 0.21391496660223908], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.027292230878318, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [5.196111651343825, 0.02058413877104778]]], [17, [[1.0, 0], [8.209446979772007, -69.61037983150439]]]], 'bad_primes': [3, 17], 'central_character': '153.106', 'coefficient_field': 'CDF', 'conductor': 153, 'conductor_radical': 51, 'conjugate': '1263782265567761550328963525969', 'degree': 2, 'euler_factors': [[[1.0, 0], [-3.0033412648213202, 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0, 'data': '4.59438404458352146367527460588', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.027292230878318, 'bad_primes': [3, 17], 'central_character': '153.106', 'conductor': 153, 'conductor_radical': 51, 'degree': 2, 'index': 29, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/153/4/n/a/106/41'], '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': '2-153-153.106-c3-0-29', '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': '2-153-153.106-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.004545261912078, 'root_angle': 0.025550371757276452, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.55879005747064866612268715220', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1976001151982463985875161780298', 'Lhash_array': ['1976001151982463985875161780298'], 'label': '2-153-153.106-c3-0-29', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/153/4/n/a/106/41'}