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  • lfunc_lfunctions • Show schema
    {'Lhash': '2187934627223446693849904021687', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [1.3577938403862249, -2.1127684558799347], 'a4': [0.0, 0.0], 'a5': [3.818599649385264, 1.7438960272941315], 'a6': [0.0, 0.0], 'a7': [-1.2319047732072168, -0.3617198781908691], 'a8': [0.0, 0.0], 'a9': [-1.373941396164852, -3.0085120050486274], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.876989588766239, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [-4.772837205506074, 0.4690682356938751]]]], 'bad_primes': [2, 23], 'central_character': '736.657', 'coefficient_field': 'CDF', 'conductor': 736, 'conductor_radical': 46, 'conjugate': '1860332778777583814261827863267', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-1.3577938403862249, 2.1127684558799347], [-1.2462450390056592, -2.7288959860635553]], [[1.0, 0], [-3.818599649385264, -1.7438960272941315], [3.274303669726425, 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'1.72597609059588517821518449784', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.88050692145918180699751223732', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.11593113796346456038957997721', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 5.876989588766239, 'bad_primes': [2, 23], 'central_character': '184.13', 'conductor': 736, 'conductor_radical': 46, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/736/2/x/a/657/20'], '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': '2-736-184.13-c1-0-17', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-736-184.13-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.424250314791408, 'root_angle': 0.1306238533600502, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.72597609059588517821518449784', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2187934627223446693849904021687', 'Lhash_array': ['2187934627223446693849904021687'], 'factors': ['2-736-184.13-c1-0-17'], 'label': '2-736-184.13-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/736/2/x/a/657/20'}