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  • lfunc_lfunctions • Show schema
    {'Lhash': '2778436081761717437723660083013', 'a10': [-0.17364817766693036, -0.3007674663608706], 'a2': [0.17364817766693036, -0.984807753012208], 'a3': [0.5049223020338081, 2.863556671843858], 'a4': [-0.9396926207859084, -0.3420201433256687], 'a5': [0.266044443118978, -0.22323779409789932], 'a6': [2.9077316492332286, -6.952070529321909e-61], 'a7': [0.7735858473596819, -0.6491155992034727], 'a8': [-0.5, 0.8660254037844386], 'a9': [-5.125932419412627, 1.8656868235263353], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [-0.17364817766693036, 0.984807753012208]]], [37, [[1.0, 0], [5.88520553336152, 1.537646197956781]]]], 'bad_primes': [2, 37], 'central_character': '74.33', 'coefficient_field': 'CDF', 'conductor': 74, 'conductor_radical': 74, 'conjugate': '3998668500975439478341855517579', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'data': '2.19179960255726958692821388548', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '4.89447097243458177858122036153', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '6.82882691075811576949023221098', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'bad_primes': [2, 37], 'central_character': '37.33', 'conductor': 74, 'conductor_radical': 74, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/74/2/f/b/33/2'], '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': '2-74-37.33-c1-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-74-37.33-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7686956321961738, 'root_angle': -0.036976049798237265, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.19179960255726958692821388548', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2778436081761717437723660083013', 'Lhash_array': ['2778436081761717437723660083013'], 'factors': ['2-74-37.33-c1-0-1'], 'label': '2-74-37.33-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/74/2/f/b/33/2'}