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lfunc_lfunctions • Show schema
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{'Lhash': '1322749316212175286020900145117', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [-0.15643446504023087, -0.9876883405951378], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7966340454788088, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0.15643446504023087, 0.9876883405951378]]]], 'bad_primes': [2, 3, 5], 'central_character': '3600.3167', 'coefficient_field': 'CDF', 'conductor': 3600, 'conductor_radical': 30, 'conjugate': '1363720941267928923298478189285', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.15643446504023087, 0.9876883405951378]], [[1.0, 0], [0, 0], [0, -1.0]], [[1.0, 0], [0, 0], [-0.8090169943749475, 0.5877852522924731]], [[1.0, 0], [-0.8968022466674206, -1.760073510670101], [-0.5877852522924731, 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'8.620059380890689167379639811479514'], 'prelabel': '2-60e2-300.167-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3403857823323884, 'root_angle': 0.042043361992348184, 'root_number': '0.96531053636188841883570807333040 + 0.26110451621663554969904484246127*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.042043361992348184', 'prec': 67}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.04346522296761098263226343852', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.54111789546927266121644305788', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.22070817995563944591413679833', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.7966340454788088, 'bad_primes': [2, 3, 5], 'central_character': '300.167', 'conductor': 3600, 'conductor_radical': 30, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3600/1/dx/a/3167/1'], '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': '2-60e2-300.167-c0-0-1', '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': '2-60e2-300.167-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3403857823323884, 'root_angle': 0.042043361992348184, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.04346522296761098263226343852', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1322749316212175286020900145117', 'Lhash_array': ['1322749316212175286020900145117'], 'factors': ['2-60e2-300.167-c0-0-1'], 'label': '2-60e2-300.167-c0-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3600/1/dx/a/3167/1'}