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  • lfunc_lfunctions • Show schema
    {'Lhash': '3691122621045845259848245712640', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [10.262087348130011, -10.262087348130011], 'a4': [0.0, 0.0], 'a5': [-24.786262044390035, 3.2620873481300117], 'a6': [0.0, 0.0], 'a7': [-50.786262044390035, -50.786262044390035], 'a8': [0.0, 0.0], 'a9': [0.0, -129.62087348130012], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.269597046707549, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [24.786262044390035, -3.2620873481300117]]]], 'bad_primes': [2, 5], 'central_character': '80.17', 'coefficient_field': 'CDF', 'conductor': 80, 'conductor_radical': 10, 'conjugate': '819326832757350525780121893413', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-10.262087348130011, 10.262087348130011], [0, -81.0]], [[1.0, 0], [24.786262044390035, -3.2620873481300117]], [[1.0, 0], [50.786262044390035, 50.786262044390035], [0, 2401.0]], [[1.0, 0], 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40}, 'spectral_label': 'c4-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.91178233211997921264726114521', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.79438483031314217530481161279', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.39379149772941626320948907157', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 8.269597046707549, 'bad_primes': [2, 5], 'central_character': '5.2', 'conductor': 80, 'conductor_radical': 10, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/80/5/p/e/17/2'], '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': '2-80-5.2-c4-0-10', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-80-5.2-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.8756907077617977, 'root_angle': 0.3910694253438831, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '2.91178233211997921264726114521', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '3691122621045845259848245712640', 'Lhash_array': ['3691122621045845259848245712640'], 'factors': ['2-80-5.2-c4-0-10'], 'label': '2-80-5.2-c4-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/80/5/p/e/17/2'}