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lfunc_lfunctions • Show schema
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{'Lhash': '1651679079199623950754954014595', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-3.219227921760222, 0.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [2.4318471222118037, 0.0], 'a8': [0.0, 0.0], 'a9': [7.363428412240637, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 73.46236985957799, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 5, 23], 'central_character': '9200.1', 'coefficient_field': 'CDF', 'conductor': 9200, 'conductor_radical': 230, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [3.219227921760222, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2.4318471222118037, 0], [7.0, 0]], [[1.0, 0], [-0.8849692245875134, 0], [11.0, 0]], [[1.0, 0], [-5.105224646097507, 0], [13.0, 0]], [[1.0, 0], [-0.3666258202469772, 0], [17.0, 0]], [[1.0, 0], [-2.7984729424587806, 0], [19.0, 0]], [[1.0, 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'5.84511327947992045627301646947721', '6.71368957805904267581834540510151', '7.01035879411378867504852568996847'], 'prelabel': '2-9200-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.571019184413135, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.30294505355202260070691875945', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.56246571210034551652050769703', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.23629049982042394139127940172', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 73.46236985957799, 'bad_primes': [2, 5, 23], 'central_character': '1.1', 'conductor': 9200, 'conductor_radical': 230, 'degree': 2, 'index': 168, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9200/2/a/cx/1/1'], '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': '2-9200-1.1-c1-0-168', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-9200-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.571019184413135, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.30294505355202260070691875945', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1651679079199623950754954014595', 'Lhash_array': ['1651679079199623950754954014595'], 'label': '2-9200-1.1-c1-0-168', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9200/2/a/cx/1/1'}