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lfunc_lfunctions • Show schema
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{'Lhash': '3188372174209154286936314502348', 'a10': [1.4142135623730951, 0.0], 'a2': [-1.4142135623730951, 0.0], 'a3': [1.4142135623730951, 0.0], 'a4': [1.0, 0.0], 'a5': [-1.0, 0.0], 'a6': [-2.0, 0.0], 'a7': [0.0, 0.0], 'a8': [1.0155401550139735e-77, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.04741117620013523, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [1.0, 0]]], [19, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [5, 19], 'central_character': '95.94', 'coefficient_field': 'CDF', 'conductor': 95, 'conductor_radical': 95, 'degree': 2, 'euler_factors': [[[1.0, 0], [1.4142135623730951, 0], [1.0, 0]], [[1.0, 0], [-1.4142135623730951, 0], [1.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 0], [1.4142135623730951, 0], [1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], 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0.21774107605166101, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.51518215952811900062369427304', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.29396961792893118367281974002', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '7.14472277853861817875692871455', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.04741117620013523, 'bad_primes': [5, 19], 'central_character': '95.94', 'conductor': 95, 'conductor_radical': 95, 'degree': 2, 'index': 0, 'instance_types': ['CMF', 'Artin'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/95/1/d/b/94/1', 'ArtinRepresentation/2.95.8t6.a.a'], 'is_instance_Artin': True, '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': '2-95-95.94-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-95-95.94-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.21774107605166101, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '2.51518215952811900062369427304', 'prec': 103}}
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lfunc_instances • Show schema
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id: 19810458
{'Lhash': '3188372174209154286936314502348', 'Lhash_array': ['3188372174209154286936314502348'], 'label': '2-95-95.94-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/95/1/d/b/94/1'}
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id: 24596375
{'Lhash': '3188372174209154286936314502348', 'Lhash_array': ['3188372174209154286936314502348'], 'label': '2-95-95.94-c0-0-0', 'type': 'Artin', 'url': 'ArtinRepresentation/2.95.8t6.a.a'}