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  • lfunc_lfunctions • Show schema
    {'Lhash': '3330815339508562394756401898466', 'a10': [1.1133407984528387, -0.4052229112310005], 'a2': [0.9396926207859084, 0.3420201433256687], 'a3': [-0.17364817766693036, -0.984807753012208], 'a4': [0.766044443118978, 0.6427876096865394], 'a5': [0.9076037345479523, -0.7615699589143088], 'a6': [0.17364817766693036, -0.984807753012208], 'a7': [-0.266044443118978, 0.46080249255343814], 'a8': [0.5, 0.8660254037844386], 'a9': [-0.9396926207859084, 0.3420201433256687], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.9102945830425968, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [-0.9396926207859084, -0.3420201433256687]]], [3, [[1.0, 0], [0.17364817766693036, 0.984807753012208]]], [19, [[1.0, 0], [3.9396926207859084, -1.8651600611542862]]]], 'bad_primes': [2, 3, 19], 'central_character': '114.61', 'coefficient_field': 'CDF', 'conductor': 114, 'conductor_radical': 114, 'conjugate': 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'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.62755000384875629765436946495', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '4.19197745442549323355301099569', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.47053757772606299681077394104', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 0.9102945830425968, 'bad_primes': [2, 3, 19], 'central_character': '19.4', 'conductor': 114, 'conductor_radical': 114, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/114/2/i/d/61/1'], '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': '2-114-19.4-c1-0-3', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-114-19.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.9540935923915415, 'root_angle': 0.019163368314845542, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.62755000384875629765436946495', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '3330815339508562394756401898466', 'Lhash_array': ['3330815339508562394756401898466'], 'factors': ['2-114-19.4-c1-0-3'], 'label': '2-114-19.4-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/114/2/i/d/61/1'}