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lfunc_lfunctions • Show schema
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{'Lhash': '297062608638672573831089758188', 'a10': [0.0, -1.193049022578036], 'a2': [1.0, 0.0], 'a3': [0.0, 2.757212094584522], 'a4': [1.0, 0.0], 'a5': [0.0, -1.193049022578036], 'a6': [0.0, 2.757212094584522], 'a7': [-5.122481533295393, 0.0], 'a8': [1.0, 0.0], 'a9': [-4.602218534523167, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.553848031213128, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [11, [[1.0, 0], [1.2909121603752753, -3.0550852351767928]]], [43, [[1.0, 0], [-4.6551364007474945, -4.618409368000596]]]], 'bad_primes': [2, 11, 43], 'central_character': '946.945', 'coefficient_field': 'CDF', 'conductor': 946, 'conductor_radical': 946, 'conjugate': '3269575061138683110405956445216', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [0, -2.757212094584522], [-3.0, 0]], [[1.0, 0], [0, 1.193049022578036], [-5.0, 0]], [[1.0, 0], [5.122481533295393, 0], [7.0, 0]], [[1.0, 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'2.93740994165651064845622617454', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.553848031213128, 'bad_primes': [2, 11, 43], 'central_character': '473.472', 'conductor': 946, 'conductor_radical': 946, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/946/2/c/b/945/20'], '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': '2-946-473.472-c1-0-3', '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': '2-946-473.472-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.748426464581712, 'root_angle': 0.43799819620424696, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.23434107835801840804662356378', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '297062608638672573831089758188', 'Lhash_array': ['297062608638672573831089758188'], 'label': '2-946-473.472-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/946/2/c/b/945/20'}