Formats: - HTML - YAML - JSON - 2026-09-09T18:42:29.036274
  • lfunc_lfunctions • Show schema
    {'Lhash': '1373302424953809330390767911576', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [-2.222247754085672, -0.24822352721123653], 'a6': [0, 0], 'a7': [0, -0.6638184039841678], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 27.308837491277906, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [2.222247754085672, 0.24822352721123653]]], [19, [[1.0, 0], [4.211677807189358, 1.1232853815609996]]]], 'bad_primes': [2, 3, 5, 19], 'central_character': '3420.2629', 'coefficient_field': 'CDF', 'conductor': 3420, 'conductor_radical': 570, 'conjugate': '501107559799723005357354144052', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.222247754085672, 0.24822352721123653]], [[1.0, 0], [0, 0.6638184039841678], [-7.0, 0]], [[1.0, 0], [-1.809053059205049, 0], [11.0, 0]], [[1.0, 0], 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'2-3420-95.64-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.225785825239866, 'root_angle': 0.25972962285864004, 'root_number': '-0.0610949523077731003652335520113972183394635256301999655 + 0.9981319586119417157983598008889119672267338880980752177*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.25972962285864004', 'prec': 57}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.08334459409127265988485145723', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.31515724558105163366369896108', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.61960681378035281756281256868', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 27.308837491277906, 'bad_primes': [2, 3, 5, 19], 'central_character': '95.64', 'conductor': 3420, 'conductor_radical': 570, 'degree': 2, 'index': 30, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3420/2/bj/c/2629/1'], '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': '2-3420-95.64-c1-0-30', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-3420-95.64-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.225785825239866, 'root_angle': 0.25972962285864004, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.08334459409127265988485145723', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1373302424953809330390767911576', 'Lhash_array': ['1373302424953809330390767911576'], 'factors': ['2-3420-95.64-c1-0-30'], 'label': '2-3420-95.64-c1-0-30', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3420/2/bj/c/2629/1'}