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  • lfunc_lfunctions • Show schema
    {'Lhash': '3713399224270918843330569550167', 'a10': [-2.519302610646948e-60, -7.4076708104147], 'a2': [1.7504814005943208, -2.0861424979276264], 'a3': [-1.1027130545934092, 1.3356735825901749], 'a4': [-0.9405090324992004, -5.333891777198956], 'a5': [2.0837501167912413, -1.7484739544651446], 'a6': [0.8561267317422963, 4.638488329796181], 'a7': [-0.1226126236553938, 2.64290865232235], 'a8': [-8.056767462041387, -4.651576863007812], 'a9': [-0.5680478384585455, -2.945729392395468], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5091725982022, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [[1.0, 0], [1.1027130545934092, -1.3356735825901749]]], [7, [[1.0, 0], [0.1226126236553938, -2.64290865232235]]]], 'bad_primes': [3, 7], 'central_character': '189.101', 'coefficient_field': 'CDF', 'conductor': 189, 'conductor_radical': 21, 'conjugate': '2118028378876068456680296569902', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.92935547350536007070193442701', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '4.61504876128693274895956745291', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.77877425320820477227379326674', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1.5091725982022, 'bad_primes': [3, 7], 'central_character': '189.101', 'conductor': 189, 'conductor_radical': 21, 'degree': 2, 'index': 18, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/189/2/ba/a/101/22'], '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': '2-189-189.101-c1-0-18', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-189-189.101-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2284838615961546, 'root_angle': 0.29820854240615613, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.92935547350536007070193442701', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '3713399224270918843330569550167', 'Lhash_array': ['3713399224270918843330569550167'], 'factors': ['2-189-189.101-c1-0-18'], 'label': '2-189-189.101-c1-0-18', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/189/2/ba/a/101/22'}