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lfunc_lfunctions • Show schema
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{'Lhash': '2030863507980456803026875219958', 'a10': [-0.7046847053336732, -0.7046847053336732], 'a2': [-1.7998656310238215, -1.7998656310238215], 'a3': [1.7052375152500645, 0.3035869176756243], 'a4': [0.0, 4.479032579481559], 'a5': [0.3915207297629356, 0.0], 'a6': [-2.522782737278236, -3.6156140555838654], 'a7': [-0.6633626126491313, 0.6633626126491313], 'a8': [4.461925537997188, -4.461925537997188], 'a9': [2.8156699668324277, 1.0353756023192149], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.4612623569894316, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.7052375152500645, -0.3035869176756243]]], [61, [[1.0, 0], [1.7247520857665515, 7.61742937234366]]]], 'bad_primes': [3, 61], 'central_character': '183.50', 'coefficient_field': 'CDF', 'conductor': 183, 'conductor_radical': 183, 'conjugate': '1999789608948623971989794504148', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.7998656310238215, 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'0.4657750402775714 + 0.8849031652415007*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.172887797604', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.60206882528578268639274470653', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.98571492973640969983677586518', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.99165430035742500317840025003', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.4612623569894316, 'bad_primes': [3, 61], 'central_character': '183.50', 'conductor': 183, 'conductor_radical': 183, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/183/2/g/c/50/1'], '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': '2-183-183.50-c1-0-4', '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': '2-183-183.50-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.208826851533929, 'root_angle': 0.17288779760447393, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.60206882528578268639274470653', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2030863507980456803026875219958', 'Lhash_array': ['2030863507980456803026875219958'], 'label': '2-183-183.50-c1-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/183/2/g/c/50/1'}