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  • lfunc_lfunctions • Show schema
    {'Lhash': '625057308791317344960116881696', 'a10': [1.0, -2.0], 'a2': [0.0, 1.0], 'a3': [0.0, 0.0], 'a4': [1.0, 0.0], 'a5': [-2.0, -1.0], 'a6': [0.0, 0.0], 'a7': [0.0, 2.0], 'a8': [0.0, 3.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.8272093728194765, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [2.0, 1.0]]], [19, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [3, 5, 19], 'central_character': '855.514', 'coefficient_field': 'CDF', 'conductor': 855, 'conductor_radical': 285, 'conjugate': '2376174404191863439418597227919', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -1.0], [-2.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.0, 1.0]], [[1.0, 0], [0, -2.0], [-7.0, 0]], [[1.0, 0], [2.0, 0], [11.0, 0]], [[1.0, 0], [0, -2.0], [-13.0, 0]], [[1.0, 0], [0, -2.0], [-17.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [-23.0, 0]], [[1.0, 0], [6.0, 0], [29.0, 0]], [[1.0, 0], [4.0, 0], 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'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.49308327442812810118920035591', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '2.19232002144848551942770727194', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.32898224247665400544275299909', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 6.8272093728194765, 'bad_primes': [3, 5, 19], 'central_character': '5.4', 'conductor': 855, 'conductor_radical': 285, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/855/2/c/a/514/2'], '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': '2-855-5.4-c1-0-5', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-855-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.612892912619933, 'root_angle': -0.42620819117478337, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.49308327442812810118920035591', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '625057308791317344960116881696', 'Lhash_array': ['625057308791317344960116881696'], 'factors': ['2-855-5.4-c1-0-5'], 'label': '2-855-5.4-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/855/2/c/a/514/2'}