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lfunc_lfunctions • Show schema
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{'Lhash': '3350011934147736863408268079872', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.2922409889466333, -1.7786171340779358], 'a4': [0.0, 0.0], 'a5': [-1.225699835949639, -1.8702031740303053], 'a6': [0.0, 0.0], 'a7': [0.0, 0.9923984246802073], 'a8': [0.0, 0.0], 'a9': [-0.5665411529969945, 1.7436343797111364], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.194016080851217, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.225699835949639, 1.8702031740303053]]]], 'bad_primes': [2, 5], 'central_character': '400.369', 'coefficient_field': 'CDF', 'conductor': 400, 'conductor_radical': 10, 'conjugate': '339259747995469662654188449168', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.2922409889466333, 1.7786171340779358], [-0.9270509831248422, 2.853169548885461]], [[1.0, 0], [1.225699835949639, 1.8702031740303053]], [[1.0, 0], [0, -0.9923984246802073], [-7.0, 0]], [[1.0, 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.73280706094995315019557887021', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.194016080851217, 'bad_primes': [2, 5], 'central_character': '25.19', 'conductor': 400, 'conductor_radical': 10, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/400/2/y/c/369/1'], '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': '2-20e2-25.19-c1-0-13', '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': '2-20e2-25.19-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7871810431098514, 'root_angle': -0.44466756823709913, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.64269344687297629148693581014', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3350011934147736863408268079872', 'Lhash_array': ['3350011934147736863408268079872'], 'label': '2-20e2-25.19-c1-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/400/2/y/c/369/1'}