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lfunc_lfunctions • Show schema
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{'Lhash': '1458934210954289614162291930195', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [2.62254566009593, 0.0], 'a4': [0.0, 0.0], 'a5': [-1.6793826191415018, 0.0], 'a6': [0.0, 0.0], 'a7': [2.5571283584294995, 0.0], 'a8': [0.0, 0.0], 'a9': [3.8777457392879975, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 21.97483063625637, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [43, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 43], 'central_character': '2752.1', 'coefficient_field': 'CDF', 'conductor': 2752, 'conductor_radical': 86, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-2.62254566009593, 0], [3.0, 0]], [[1.0, 0], [1.6793826191415018, 0], [5.0, 0]], [[1.0, 0], [-2.5571283584294995, 0], [7.0, 0]], [[1.0, 0], [-1.8265810791716728, 0], [11.0, 0]], [[1.0, 0], [0.17341892082832733, 0], [13.0, 0]], [[1.0, 0], [1.3530929393537567, 0], [17.0, 0]], [[1.0, 0], [-2.8777457392879975, 0], [19.0, 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'5.64744599063421853941865923506330', '6.93468421465525176826379530401386', '7.55262227250290098404696852027309', '8.067706645167156290900292684778962', '8.774639935477343951831462771873952'], 'prelabel': '2-2752-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.6877319287963095, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.15089616231130350260010963856', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.24871852263045313911271327686', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.12933318648445165309983314961', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 21.97483063625637, 'bad_primes': [2, 43], 'central_character': '1.1', 'conductor': 2752, 'conductor_radical': 86, 'degree': 2, 'index': 35, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2752/2/a/x/1/5'], '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': '2-2752-1.1-c1-0-35', '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': '2-2752-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.6877319287963095, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.15089616231130350260010963856', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1458934210954289614162291930195', 'Lhash_array': ['1458934210954289614162291930195'], 'label': '2-2752-1.1-c1-0-35', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2752/2/a/x/1/5'}