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  • lfunc_lfunctions • Show schema
    {'Lhash': '2439767147579386052292811440401', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.0233345897019221, -1.4614732545130598], 'a4': [0.0, 0.0], 'a5': [0.7108647677935528, 2.1200639806170516], 'a6': [0.0, 0.0], 'a7': [-2.653802973702248, -0.7110843636748293], 'a8': [0.0, 0.0], 'a9': [-0.06262996119958714, 0.1720744041771848], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.034315276808656, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-0.7108647677935528, -2.1200639806170516]]], [19, [[1.0, 0], [3.002465846082541, 3.159936525170696]]]], 'bad_primes': [2, 5, 19], 'central_character': '380.33', 'coefficient_field': 'CDF', 'conductor': 380, 'conductor_radical': 190, 'conjugate': '782841547978525222958728407178', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.0233345897019221, 1.4614732545130598], [-1.0260604299770062, 2.8190778623577253]], [[1.0, 0], 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100}, 'z2': {'__RealLiteral__': 0, 'data': '3.97429651301759765680925191660', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.65769625539116730527932815027', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 3.034315276808656, 'bad_primes': [2, 5, 19], 'central_character': '95.33', 'conductor': 380, 'conductor_radical': 190, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/380/2/bh/a/33/3'], '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': '2-380-95.33-c1-0-7', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-380-95.33-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7419286084132886, 'root_angle': 0.31318324526713653, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.92463692056796038262682787738', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2439767147579386052292811440401', 'Lhash_array': ['2439767147579386052292811440401'], 'factors': ['2-380-95.33-c1-0-7'], 'label': '2-380-95.33-c1-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/380/2/bh/a/33/3'}