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lfunc_lfunctions • Show schema
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{'Lhash': '360518306220111050688727987504', 'a10': [1.3246817089013687, -2.2944160236743363], 'a2': [-1.4832147943227472, -0.5398460361567474], 'a3': [0.0, 0.0], 'a4': [0.376403497105761, 0.31584003559528245], 'a5': [-0.2914697799442092, 1.653007263965568], 'a6': [0.0, 0.0], 'a7': [2.1290534492480493, -1.786487964020754], 'a8': [1.1906219716593345, 2.062217747521799], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.821094307351343, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]]], 'bad_primes': [3], 'central_character': '729.568', 'coefficient_field': 'CDF', 'conductor': 729, 'conductor_radical': 3, 'conjugate': '2080671521595051679408054919407', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.4832147943227472, 0.5398460361567474], [1.532088886237956, 1.2855752193730787]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.2914697799442092, -1.653007263965568], [-4.698463103929542, -1.7101007166283437]], 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{'__RealLiteral__': 0, 'data': '3.53187786665547623244422946278', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.821094307351343, 'bad_primes': [3], 'central_character': '27.4', 'conductor': 729, 'conductor_radical': 3, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/729/2/e/u/568/1'], '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': '2-3e6-27.4-c1-0-1', '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': '2-3e6-27.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4126944081982997, 'root_angle': -0.3148148148148148, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.28439879739354273438849598911', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '360518306220111050688727987504', 'Lhash_array': ['360518306220111050688727987504'], 'label': '2-3e6-27.4-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/729/2/e/u/568/1'}