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lfunc_lfunctions • Show schema
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{'Lhash': '1225286122085698969380920377491', 'a10': [0.46472317204376856, 0.8854560256532099], 'a2': [0.7212024473438146, 0.6927243535095994], 'a3': [0.0, 0.0], 'a4': [0.040265940109415144, 0.9991889981715696], 'a5': [0.9485364419471455, 0.3166679938014725], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [-0.6631226582407952, 0.7485107481711011], 'a9': [-0.9605181116313724, 0.27821746391645263], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.6868397426995483, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.7212024473438146, -0.6927243535095994]]], [5, [[1.0, 0], [-0.9485364419471455, -0.3166679938014725]]], [13, [[1.0, 0], [-0.20002569377604443, -0.9797906520422677]]]], 'bad_primes': [2, 5, 13], 'central_character': '3380.1943', 'coefficient_field': 'CDF', 'conductor': 3380, 'conductor_radical': 130, 'conjugate': '2286330245932667674660138309306', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.7212024473438146, 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.04266590033708584959506193997', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.6868397426995483, 'bad_primes': [2, 5, 13], 'central_character': '3380.1943', 'conductor': 3380, 'conductor_radical': 130, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3380/1/cs/a/1943/1'], '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': '2-3380-3380.1943-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-3380-3380.1943-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.298783947660098, 'root_angle': -0.3241247012567898, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.966580319423267674531496129737', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1225286122085698969380920377491', 'Lhash_array': ['1225286122085698969380920377491'], 'label': '2-3380-3380.1943-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3380/1/cs/a/1943/1'}