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  • lfunc_lfunctions • Show schema
    {'Lhash': '1866615042439966139481712929088', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [5.0, 0.0], 'a4': [0.0, 0.0], 'a5': [5.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-20.396078054371138, 0.0], 'a8': [0.0, 0.0], 'a9': [-2.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 114.22769777111388, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 11], 'central_character': '1936.1', 'coefficient_field': 'CDF', 'conductor': 1936, 'conductor_radical': 22, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-5.0, 0], [27.0, 0]], [[1.0, 0], [-5.0, 0], [125.0, 0]], [[1.0, 0], [20.396078054371138, 0], [343.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-61.18823416311342, 0], [2197.0, 0]], [[1.0, 0], [20.396078054371138, 0], [4913.0, 0]], [[1.0, 0], [-101.9803902718557, 0], [6859.0, 0]], [[1.0, 0], [35.0, 0], [12167.0, 0]], [[1.0, 0], [203.9607805437114, 0], [24389.0, 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'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.47249963207834905749924754618', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.51122180717434966296845726513', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.43569738306039917452511319502', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 114.22769777111388, 'bad_primes': [2, 11], 'central_character': '1.1', 'conductor': 1936, 'conductor_radical': 22, 'degree': 2, 'index': 134, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1936/4/a/ba/1/1'], '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': '2-44e2-1.1-c3-0-134', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'prelabel': '2-44e2-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 10.68773585803438, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.47249963207834905749924754618', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1866615042439966139481712929088', 'Lhash_array': ['1866615042439966139481712929088'], 'factors': ['2-44e2-1.1-c3-0-134'], 'label': '2-44e2-1.1-c3-0-134', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1936/4/a/ba/1/1'}