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lfunc_lfunctions • Show schema
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{'Lhash': '2427314349139610625853538480769', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [1.3519392015534617, 0.0], 'a4': [0.0, 0.0], 'a5': [1.0, 0.0], 'a6': [0.0, 0.0], 'a7': [4.172260395302988, 0.0], 'a8': [0.0, 0.0], 'a9': [-1.1722603953029882, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-1.0, 0]]], [13, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 13], 'central_character': '260.1', 'coefficient_field': 'CDF', 'conductor': 260, 'conductor_radical': 130, 'conjugate': '2427314349139610625853538480769', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-1.3519392015534617, 0], [3.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-4.172260395302988, 0], [7.0, 0]], [[1.0, 0], [5.52419959685645, 0], [11.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [0.7038784031069236, 0], [17.0, 0]], [[1.0, 0], 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'8.117327293029160699599557318311512', '8.887667282686898560660287045257387', '10.12618381118772996790069729209671', '10.99949060787873943820530760415902', '11.88396501239252825500993956212059'], 'prelabel': '2-260-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.91481339471822433626357895927', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.13786347330253335042143179697', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.90138635797032216441928587546', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.076110452553291, 'bad_primes': [2, 5, 13], 'central_character': '1.1', 'conductor': 260, 'conductor_radical': 130, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/a/b/1/2'], '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': '2-260-1.1-c1-0-2', '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': '2-260-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.91481339471822433626357895927', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2427314349139610625853538480769', 'Lhash_array': ['2427314349139610625853538480769'], 'label': '2-260-1.1-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/a/b/1/2'}