Formats: - HTML - YAML - JSON - 2026-08-13T04:18:55.590716
  • lfunc_lfunctions • Show schema
    {'Lhash': '3963919931681147790506992846781', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, -3.3166247903554], 'a4': [0.0, 0.0], 'a5': [-3.0, 0.0], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [-8.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.621468302298142, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [0, -3.3166247903554]]]], 'bad_primes': [2, 11], 'central_character': '704.703', 'coefficient_field': 'CDF', 'conductor': 704, 'conductor_radical': 22, 'conjugate': '1955344548592483830049516726636', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 3.3166247903554], [-3.0, 0]], [[1.0, 0], [3.0, 0], [5.0, 0]], [[1.0, 0], [0, 0], [7.0, 0]], [[1.0, 0], [0, -3.3166247903554]], [[1.0, 0], [0, 0], [-13.0, 0]], [[1.0, 0], [0, 0], [-17.0, 0]], [[1.0, 0], [0, 0], [19.0, 0]], [[1.0, 0], [0, -3.3166247903554], [-23.0, 0]], [[1.0, 0], [0, 0], [-29.0, 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{'__RealLiteral__': 0, 'data': '-0.25', 'prec': 7}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '3.12698146552960151806648300996', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.64305100300231984201598075692', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.60097662653138778358261583646', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 5.621468302298142, 'bad_primes': [2, 11], 'central_character': '44.43', 'conductor': 704, 'conductor_radical': 22, 'degree': 2, 'index': 21, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/704/2/e/a/703/1'], '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': '2-704-44.43-c1-0-21', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-704-44.43-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.3709635809725427, 'root_angle': -0.25, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '3.12698146552960151806648300996', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '3963919931681147790506992846781', 'Lhash_array': ['3963919931681147790506992846781'], 'factors': ['2-704-44.43-c1-0-21'], 'label': '2-704-44.43-c1-0-21', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/704/2/e/a/703/1'}