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  • lfunc_lfunctions • Show schema
    {'Lhash': '1686003231479157995115154269903', 'a10': [0.0, -4.0], 'a2': [-1.0, 1.0], 'a3': [0.0, 1.0], 'a4': [0.0, -2.0], 'a5': [-2.0, 2.0], 'a6': [-1.0, -1.0], 'a7': [0.0, -2.0], 'a8': [2.0, 2.0], 'a9': [-1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.090715699489701, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [1.0, -1.0]]], [3, [[1.0, 0], [0, -1.0]]], [37, [[1.0, 0], [1.0, 6.0]]]], 'bad_primes': [2, 3, 37], 'central_character': '888.43', 'coefficient_field': 'CDF', 'conductor': 888, 'conductor_radical': 222, 'conjugate': '2729682444452871245406669716451', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0, -1.0]], [[1.0, 0], [0, -1.0]], [[1.0, 0], [2.0, -2.0], [0, -5.0]], [[1.0, 0], [0, 2.0], [-7.0, 0]], [[1.0, 0], [0, -4.0], [-11.0, 0]], [[1.0, 0], [1.0, -1.0], [0, -13.0]], [[1.0, 0], [2.0, 2.0], [0, 17.0]], [[1.0, 0], [-1.0, -1.0], [0, 19.0]], [[1.0, 0], [2.0, -2.0], [0, -23.0]], [[1.0, 0], 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False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.236857885822', 'prec': 40}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.33002203539019968278374339651', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.72766549364153072777069575179', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.73035769981333388573314648440', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 7.090715699489701, 'bad_primes': [2, 3, 37], 'central_character': '296.43', 'conductor': 888, 'conductor_radical': 222, 'degree': 2, 'index': 42, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/888/2/r/a/43/1'], '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': '2-888-296.43-c1-0-42', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-888-296.43-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6628397810401023, 'root_angle': 0.23685788582218664, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.33002203539019968278374339651', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1686003231479157995115154269903', 'Lhash_array': ['1686003231479157995115154269903'], 'factors': ['2-888-296.43-c1-0-42'], 'label': '2-888-296.43-c1-0-42', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/888/2/r/a/43/1'}