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lfunc_lfunctions • Show schema
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{'Lhash': '567789673695523223615050812587', 'a10': [0.0, 0.0], 'a2': [-1.4029418507378895, -0.1781969793463003], 'a3': [-1.224744871391589, -1.224744871391589], 'a4': [1.9364916731037085, 0.5], 'a5': [0.0, 0.0], 'a6': [1.5, 1.9364916731037085], 'a7': [0.0, 0.0], 'a8': [-2.6276867221294786, -1.0465478920452886], 'a9': [0.0, 3.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.791024121276825, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.4029418507378895, 0.1781969793463003]]], [3, [[1.0, 0], [1.224744871391589, 1.224744871391589]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '600.293', 'coefficient_field': 'CDF', 'conductor': 600, 'conductor_radical': 30, 'conjugate': '1654201642450201651191016911649', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.4029418507378895, 0.1781969793463003]], [[1.0, 0], [1.224744871391589, 1.224744871391589]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0], [0, 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'6.20974384915864853270670932563817', '6.80425564756937079336153133720975', '8.149954225411931243398296451494000', '8.787514120811993037415024072381947', '9.992933219152730934189956027246139', '10.21607758252545900693765644182653'], 'prelabel': '2-600-120.53-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.188840816797061, 'root_angle': -0.30556225629203404, 'root_number': '0.5735591922669759 - 0.8191641184561578*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.152781128146', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.44790707596659336550707019144', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.37155183435243092267282651382', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.90254728416299566739404515771', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.791024121276825, 'bad_primes': [2, 3, 5], 'central_character': '120.53', 'conductor': 600, 'conductor_radical': 30, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/600/2/w/i/293/1'], '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': '2-600-120.53-c1-0-10', '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': '2-600-120.53-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.188840816797061, 'root_angle': -0.15278112814601702, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.44790707596659336550707019144', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '567789673695523223615050812587', 'Lhash_array': ['567789673695523223615050812587'], 'label': '2-600-120.53-c1-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/600/2/w/i/293/1'}