Formats: - HTML - YAML - JSON - 2026-08-26T15:47:27.484881
  • lfunc_lfunctions • Show schema
    {'Lhash': '2080742824043155518165635294014', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, -0.7653668647301796], 'a4': [0.0, 0.0], 'a5': [0.0, -1.0], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [0.41421356237309503, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5171576384043273, 'analytic_normalization': 0, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 1.0]]], [19, [[1.0, 0], [0, 1.0]]]], 'bad_primes': [2, 5, 19], 'central_character': '3040.1329', 'coefficient_field': 'CDF', 'conductor': 3040, 'conductor_radical': 190, 'conjugate': '1010328047929717469003361453684', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0.7653668647301796], [-1.0, 0]], [[1.0, 0], [0, 1.0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, -1.4142135623730951], [-1.0, 0]], [[1.0, 0], [0, 1.8477590650225735], [-1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 1.0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 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'root_angle': 0.3125, 'root_number': '-0.38268343236508977172845998403043 + 0.92387953251128675612818318939698*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 14}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.64141666770680814925516345457', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.79264287469240513110144976115', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.84444300515303348981761995708', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1.5171576384043273, 'bad_primes': [2, 5, 19], 'central_character': '760.189', 'conductor': 3040, 'conductor_radical': 190, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3040/1/b/a/1329/3'], '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': '2-3040-760.189-c0-0-6', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-3040-760.189-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2317295313518821, 'root_angle': 0.3125, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.64141666770680814925516345457', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2080742824043155518165635294014', 'Lhash_array': ['2080742824043155518165635294014'], 'factors': ['2-3040-760.189-c0-0-6'], 'label': '2-3040-760.189-c0-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3040/1/b/a/1329/3'}