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lfunc_lfunctions • Show schema
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{'Lhash': '408799518734044844982446360837', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [0, -221.6957991067704], 'a6': [0, 0], 'a7': [-907.4926996951546, 0], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 102.6594097354041, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [907.4926996951546, 0]]]], 'bad_primes': [2, 3, 7], 'central_character': '252.197', 'coefficient_field': 'CDF', 'conductor': 252, 'conductor_radical': 42, 'conjugate': '1003750829033817441517948732353', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 221.6957991067704], [-390625.0, 0]], [[1.0, 0], [907.4926996951546, 0]], [[1.0, 0], [0, 19481.38131197135], [-214358881.0, 0]], [[1.0, 0], [19141.31476125649, 0], [815730721.0, 0]], [[1.0, 0], [0, -134658.7363407013], [-6975757441.0, 0]], [[1.0, 0], [194587.45640931337, 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'spectral_label': 'c8-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.32248595840245259041029435080', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.97574438450403793055656299897', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.93974471251272213645087752246', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 102.6594097354041, 'bad_primes': [2, 3, 7], 'central_character': '3.2', 'conductor': 252, 'conductor_radical': 42, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/252/9/c/a/197/8'], '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': '2-252-3.2-c8-0-4', 'motivic_weight': 8, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [8], 'order_of_vanishing': 0, 'prelabel': '2-252-3.2-c8-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 10.13209799278531, 'root_angle': -0.1520433619923482, 'self_dual': False, 'spectral_label': 'c8-0', 'z1': {'__RealLiteral__': 0, 'data': '0.32248595840245259041029435080', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '408799518734044844982446360837', 'Lhash_array': ['408799518734044844982446360837'], 'label': '2-252-3.2-c8-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/252/9/c/a/197/8'}