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lfunc_lfunctions • Show schema
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{'Lhash': '400196773597541988944880001694', 'a10': [0.0, 0.0], 'a2': [-2.3494677976529896, 0.0], 'a3': [1.0, 0.0], 'a4': [3.51999893220839, 0.0], 'a5': [0.0, 0.0], 'a6': [-2.3494677976529896, 0.0], 'a7': [0.3128475755644333, 0.0], 'a8': [-3.5711885436905426, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 64.07994762207754, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.0, 0]]], [5, [[1.0, 0], [0, 0]]], [107, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [3, 5, 107], 'central_character': '8025.1', 'coefficient_field': 'CDF', 'conductor': 8025, 'conductor_radical': 1605, 'degree': 2, 'euler_factors': [[[1.0, 0], [2.3494677976529896, 0], [2.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.3128475755644333, 0], [7.0, 0]], [[1.0, 0], [5.224029152683468, 0], [11.0, 0]], [[1.0, 0], [5.053498018128068, 0], [13.0, 0]], [[1.0, 0], [5.462236908522147, 0], [17.0, 0]], [[1.0, 0], 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'3.00335354913444101272838861110522', '4.38643643546257669727637931499714', '4.94484968868320975055679858320076', '6.02811502862695485233477869676577', '6.95325329382802415969603258986462', '7.34331718139592666716122831788653', '8.015258087483051749275709557850612'], 'prelabel': '2-8025-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.004995166899075, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.31569958908668529062729957522', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.89351458002178022435012444190', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.30220069146299223149368568253', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 64.07994762207754, 'bad_primes': [3, 5, 107], 'central_character': '1.1', 'conductor': 8025, 'conductor_radical': 1605, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8025/2/a/bh/1/2'], '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': '2-8025-1.1-c1-0-12', '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': '2-8025-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.004995166899075, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.31569958908668529062729957522', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '400196773597541988944880001694', 'Lhash_array': ['400196773597541988944880001694'], 'label': '2-8025-1.1-c1-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8025/2/a/bh/1/2'}