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lfunc_lfunctions • Show schema
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{'Lhash': '1226900558954583814051774850213', 'a10': [6.451009853355388, 6.451009853355388], 'a2': [0.0, -2.5615528128088303], 'a3': [-0.7071067811865476, 0.7071067811865476], 'a4': [-4.56155281280883, 0.0], 'a5': [-2.5183981454911466, 2.5183981454911466], 'a6': [1.811291364304599, 1.811291364304599], 'a7': [0.0, 0.0], 'a8': [0.0, 6.56155281280883], 'a9': [0.0, -1.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.923029855245012, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.7071067811865476, -0.7071067811865476]]], [17, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 17], 'central_character': '867.616', 'coefficient_field': 'CDF', 'conductor': 867, 'conductor_radical': 51, 'conjugate': '619775760146475385704151645808', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 2.5615528128088303], [-2.0, 0]], [[1.0, 0], [0.7071067811865476, -0.7071067811865476]], [[1.0, 0], [2.5183981454911466, -2.5183981454911466], [0, -5.0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.923029855245012, 'bad_primes': [3, 17], 'central_character': '17.4', 'conductor': 867, 'conductor_radical': 51, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/867/2/e/f/616/1'], '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': '2-867-17.4-c1-0-13', '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': '2-867-17.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.631165113641676, 'root_angle': 0.38981105108957304, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.967853885553078349046446313846', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1226900558954583814051774850213', 'Lhash_array': ['1226900558954583814051774850213'], 'label': '2-867-17.4-c1-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/867/2/e/f/616/1'}