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  • lfunc_lfunctions • Show schema
    {'Lhash': '1527211149170591251313630536485', 'a10': [31622.776601683792, 2.957856790571126e-64], 'a2': [19.595917942265423, -11.313708498984761], 'a3': [0, 0], 'a4': [256.0, -443.40500673763256], 'a5': [1210.3072956898177, 698.7712429686843], 'a6': [0, 0], 'a7': [7828.108200523269, 13558.68113045288], 'a8': [-2.36243102813142e-64, -11585.237502960395], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 171.5464582219056, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.0', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [-19.595917942265423, 11.313708498984761]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-1210.3072956898177, -698.7712429686843]]]], 'bad_primes': [2, 3, 5], 'central_character': '270.71', 'coefficient_field': 'CDF', 'conductor': 270, 'conductor_radical': 30, 'conjugate': '40116066708749036063909832552', 'degree': 2, 'euler_factors': [[[1.0, 0], [-19.595917942265423, 11.313708498984761]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1210.3072956898177, 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'sign_arg': {'__RealLiteral__': 0, 'data': '0.4639381247865168', 'prec': 54}, 'spectral_label': 'c10-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.20475716959833430721946610455', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.57093470960159414697876498838', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.59179170554665490957275437227', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 171.5464582219056, 'bad_primes': [2, 3, 5], 'central_character': '9.5', 'conductor': 270, 'conductor_radical': 30, 'degree': 2, 'index': 33, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/270/11/h/a/71/33'], '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': '2-270-9.5-c10-0-33', 'motivic_weight': 10, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [10], 'order_of_vanishing': 0, 'prelabel': '2-270-9.5-c10-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 13.097574516753307, 'root_angle': 0.4639381247865168, 'self_dual': False, 'spectral_label': 'c10-0', 'z1': {'__RealLiteral__': 0, 'data': '1.20475716959833430721946610455', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1527211149170591251313630536485', 'Lhash_array': ['1527211149170591251313630536485'], 'factors': ['2-270-9.5-c10-0-33'], 'label': '2-270-9.5-c10-0-33', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/270/11/h/a/71/33'}