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lfunc_lfunctions • Show schema
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{'Lhash': '1263921792933536199956951363033', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [0, -3155.641201663876], 'a6': [0, 0], 'a7': [13662.251756129155, 0], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 91.49144438501632, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '144.17', 'coefficient_field': 'CDF', 'conductor': 144, 'conductor_radical': 6, 'conjugate': '970794998400586310830580296142', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 3155.641201663876], [-9765625.0, 0]], [[1.0, 0], [-13662.251756129155, 0], [282475249.0, 0]], [[1.0, 0], [0, 62736.28718875402], [-25937424601.0, 0]], [[1.0, 0], [-200378.78336645392, 0], [137858491849.0, 0]], [[1.0, 0], [0, -556674.3889870067], [-2015993900449.0, 0]], [[1.0, 0], [-3256486.2669316316, 0], 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'0.1520433619923482', 'prec': 60}, 'spectral_label': 'c10-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.997058489702113608903771400303', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.32167769345277774524929754662', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.48052564950013878710931569273', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 91.49144438501632, 'bad_primes': [2, 3], 'central_character': '3.2', 'conductor': 144, 'conductor_radical': 6, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/144/11/e/b/17/2'], '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': '2-12e2-3.2-c10-0-13', 'motivic_weight': 10, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [10], 'order_of_vanishing': 0, 'prelabel': '2-12e2-3.2-c10-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.565116015240815, 'root_angle': 0.1520433619923482, 'self_dual': False, 'spectral_label': 'c10-0', 'z1': {'__RealLiteral__': 0, 'data': '0.997058489702113608903771400303', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1263921792933536199956951363033', 'Lhash_array': ['1263921792933536199956951363033'], 'label': '2-12e2-3.2-c10-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/144/11/e/b/17/2'}