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  • lfunc_lfunctions • Show schema
    {'Lhash': '2271842841926016087229926086860', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.9396926207859084, -0.3420201433256687], 'a4': [0.766044443118978, -0.6427876096865394], 'a5': [0.266044443118978, 1.508813013470978], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [0.766044443118978, 0.6427876096865394], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.1482223087520017, 'analytic_normalization': 0, 'bad_lfactors': [[3, [[1.0, 0], [0.9396926207859084, 0.3420201433256687]]], [11, [[1.0, 0], [-0.17364817766693036, 0.984807753012208]]]], 'bad_primes': [3, 11], 'central_character': '297.142', 'coefficient_field': 'CDF', 'conductor': 297, 'conductor_radical': 33, 'conjugate': '2421990787003157802208466620629', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0], [-0.766044443118978, 0.6427876096865394]], [[1.0, 0], [0.9396926207859084, 0.3420201433256687]], [[1.0, 0], [-0.266044443118978, -1.508813013470978], [-0.9396926207859084, 0.3420201433256687]], [[1.0, 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'12.17282350942807011627121850095142'], 'prelabel': '2-297-297.142-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.38499650485686454, 'root_angle': 0.00925925925925926, 'root_number': '0.99830815827126820804782070878329 + 0.058144828910475828538748016846875*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.009259259259259259', 'prec': 54}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.79216800080163308172253952172', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.96739365909454404448995398838', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.90346390341517136731147186619', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 0.1482223087520017, 'bad_primes': [3, 11], 'central_character': '297.142', 'conductor': 297, 'conductor_radical': 33, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/297/1/q/a/142/1'], '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': '2-297-297.142-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-297-297.142-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.38499650485686454, 'root_angle': 0.00925925925925926, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.79216800080163308172253952172', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2271842841926016087229926086860', 'Lhash_array': ['2271842841926016087229926086860'], 'factors': ['2-297-297.142-c0-0-0'], 'label': '2-297-297.142-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/297/1/q/a/142/1'}