Formats: - HTML - YAML - JSON - 2026-10-15T21:39:42.716833
  • lfunc_lfunctions • Show schema
    {'Lhash': '1381266330172242384911627354454', 'a10': [-1.0, 0.0], 'a2': [1.0, 0.0], 'a3': [-3.3459632957098844, 0.0], 'a4': [1.0, 0.0], 'a5': [-1.0, 0.0], 'a6': [-3.3459632957098844, 0.0], 'a7': [-2.5977351881188753, 0.0], 'a8': [1.0, 0.0], 'a9': [8.19547037623775, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.9544648747873756, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [5, [[1.0, 0], [1.0, 0]]], [37, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 5, 37], 'central_character': '370.1', 'coefficient_field': 'CDF', 'conductor': 370, 'conductor_radical': 370, 'conjugate': '1381266330172242384911627354454', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [3.3459632957098844, 0], [3.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [2.5977351881188753, 0], [7.0, 0]], [[1.0, 0], [-4.748228107591009, 0], [11.0, 0]], [[1.0, 0], [-6.691926591419769, 0], [13.0, 0]], [[1.0, 0], 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'6.81645835521015055774884096073340', '8.637363163196287707705750464790117', '10.01293868207377400237488112872524', '10.81050962507551854439212411753435', '11.60180156604721476862487246901113'], 'prelabel': '2-370-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7188556875978203, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.08962700757098009902654475464', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.70727608921289895429051350715', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.41345416412251328155331739465', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 2.9544648747873756, 'bad_primes': [2, 5, 37], 'central_character': '1.1', 'conductor': 370, 'conductor_radical': 370, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/370/2/a/g/1/1'], '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': '2-370-1.1-c1-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-370-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7188556875978203, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.08962700757098009902654475464', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1381266330172242384911627354454', 'Lhash_array': ['1381266330172242384911627354454'], 'factors': ['2-370-1.1-c1-0-1'], 'label': '2-370-1.1-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/370/2/a/g/1/1'}