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  • lfunc_lfunctions • Show schema
    {'Lhash': '2933168754139572548331817341709', 'a10': [2.5384000404736824, 1.1062799664284066], 'a2': [0.7959844360929585, 0.9486173113628596], 'a3': [0.5959309680530553, 1.6263044860404672], 'a4': [0.08101277441878525, -0.45944627471804744], 'a5': [2.0019766987154655, -0.9960367954048313], 'a6': [-1.0683888134490234, 1.8598234919087258], 'a7': [-2.241302872894314, 0.3952021684306628], 'a8': [2.6451774567018216, -1.5271939166811264], 'a9': [-2.2897325626306966, 1.9383304134302444], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.0779804272872857, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [[1.0, 0], [-0.5959309680530553, -1.6263044860404672]]], [5, [[1.0, 0], [-2.0019766987154655, 0.9960367954048313]]]], 'bad_primes': [3, 5], 'central_character': '135.49', 'coefficient_field': 'CDF', 'conductor': 135, 'conductor_radical': 15, 'conjugate': '3534239319263521638179468006548', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.31386215855653061871985118218', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.07830865331834297661175858101', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.11534543540800732636876067804', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1.0779804272872857, 'bad_primes': [3, 5], 'central_character': '135.49', 'conductor': 135, 'conductor_radical': 15, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/135/2/p/a/49/11'], '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': '2-135-135.49-c1-0-8', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-135-135.49-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.0382583624933082, 'root_angle': -0.16710651259279605, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.31386215855653061871985118218', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2933168754139572548331817341709', 'Lhash_array': ['2933168754139572548331817341709'], 'factors': ['2-135-135.49-c1-0-8'], 'label': '2-135-135.49-c1-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/135/2/p/a/49/11'}