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lfunc_lfunctions • Show schema
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{'Lhash': '2325873036063479167507048500074', 'a10': [2.761066824546412, 0.0], 'a2': [2.5342162821644503, 0.0], 'a3': [1.0, 0.0], 'a4': [4.42225216478741, 0.0], 'a5': [1.0895150678253125, 0.0], 'a6': [2.5342162821644503, 0.0], 'a7': [1.7305713467308044, 0.0], 'a8': [6.138510875512341, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 20.14625642996905, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.0, 0]]], [29, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 29], 'central_character': '2523.1', 'coefficient_field': 'CDF', 'conductor': 2523, 'conductor_radical': 87, 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.5342162821644503, 0], [2.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-1.0895150678253125, 0], [5.0, 0]], [[1.0, 0], [-1.7305713467308044, 0], [7.0, 0]], [[1.0, 0], [-6.295131501608205, 0], [11.0, 0]], [[1.0, 0], [1.2794828131747509, 0], [13.0, 0]], [[1.0, 0], [5.082908206509828, 0], [17.0, 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'4.31243359718082797916937918177316', '4.53003205289997111442189386308163', '5.88813731519254925399866044325914', '6.31601287305770577374545311373654', '7.03884911972320391466864752934032', '7.962134266162541965796818344274684', '8.961619376604147569211735462727071'], 'prelabel': '2-2523-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.4884581350358, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.83479030865817921238710486721', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.15217765472860767494570991290', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.47499299024779163638058082960', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 20.14625642996905, 'bad_primes': [3, 29], 'central_character': '1.1', 'conductor': 2523, 'conductor_radical': 87, 'degree': 2, 'index': 120, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2523/2/a/r/1/7'], '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': '2-2523-1.1-c1-0-120', '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': '2-2523-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.4884581350358, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.83479030865817921238710486721', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2325873036063479167507048500074', 'Lhash_array': ['2325873036063479167507048500074'], 'factors': ['2-2523-1.1-c1-0-120'], 'label': '2-2523-1.1-c1-0-120', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2523/2/a/r/1/7'}