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  • lfunc_lfunctions • Show schema
    {'Lhash': '2868563351734448774475216243013', 'a10': [6.889042098247351e-61, 0.024566342373684397], 'a2': [-0.009594896908069138, -0.011434752860762471], 'a3': [0.0, 0.0], 'a4': [0.34725766380755047, -1.9693960754746795], 'a5': [-1.2607287323957976, -1.0578770143679135], 'a6': [0.0, 0.0], 'a7': [1.8161334879998936, -1.9239696343147779], 'a8': [-0.05170579816087021, 0.02985235648684287], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.5275177946066, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [-1.8161334879998936, 1.9239696343147779]]]], 'bad_primes': [3, 7], 'central_character': '567.341', 'coefficient_field': 'CDF', 'conductor': 567, 'conductor_radical': 21, 'conjugate': '802264994606619323298260285416', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.009594896908069138, 0.011434752860762471], [-0.3472963553338607, 1.969615506024416]], [[1.0, 0], [0, 0]], [[1.0, 0], 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'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.43687918370537238422010214686', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 4.5275177946066, 'bad_primes': [3, 7], 'central_character': '189.131', 'conductor': 567, 'conductor_radical': 21, 'degree': 2, 'index': 20, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/567/2/ba/a/341/11'], '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': '2-567-189.131-c1-0-20', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-567-189.131-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.1277964645629526, 'root_angle': 0.365366277746906, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.26289748233305694521340986309', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2868563351734448774475216243013', 'Lhash_array': ['2868563351734448774475216243013'], 'factors': ['2-567-189.131-c1-0-20'], 'label': '2-567-189.131-c1-0-20', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/567/2/ba/a/341/11'}