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  • lfunc_lfunctions • Show schema
    {'Lhash': '227525350439340055739320368130', 'a10': [5187840.0, 8985602.461538125], 'a2': [64.0, -110.85125168440814], 'a3': [675.0, 1169.134295108992], 'a4': [-8192.0, -14188.960215604242], 'a5': [-40530.0, 70200.0192307666], 'a6': [172800.0, 0], 'a7': [0, 0], 'a8': [-2097152.0, 0], 'a9': [6263203.5, -10848186.680143218], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 139.8396349979221, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '7.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-64.0, 110.85125168440814]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 7], 'central_character': '98.79', 'coefficient_field': 'CDF', 'conductor': 98, 'conductor_radical': 14, 'conjugate': '1217189648587938716759268493706', 'degree': 2, 'euler_factors': [[[1.0, 0], [-64.0, 110.85125168440814]], [[1.0, 0], [-675.0, -1169.134295108992], [-7174453.5, 12426517.978540359]], [[1.0, 0], [40530.0, -70200.0192307666], [-15258789062.5, -26428997918.226276]], [[1.0, 0], [0, 0]], [[1.0, 0], 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- 0.9637447597586793761438043440821124880542606995232854472*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.20701257277455892', 'prec': 67}, 'spectral_label': 'c15-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.17948585390830573245080548452', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.75521708108634609960758265808', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.88713041762529480946845144533', 'prec': 103}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 139.8396349979221, 'bad_primes': [2, 7], 'central_character': '7.2', 'conductor': 98, 'conductor_radical': 14, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/98/16/c/c/79/1'], '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': '2-98-7.2-c15-0-5', 'motivic_weight': 15, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [15], 'order_of_vanishing': 0, 'prelabel': '2-98-7.2-c15-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 11.825380966291196, 'root_angle': -0.20701257277455892, 'self_dual': False, 'spectral_label': 'c15-0', 'z1': {'__RealLiteral__': 0, 'data': '0.17948585390830573245080548452', 'prec': 103}}
  • lfunc_instances • Show schema
    {'Lhash': '227525350439340055739320368130', 'Lhash_array': ['227525350439340055739320368130'], 'factors': ['2-98-7.2-c15-0-5'], 'label': '2-98-7.2-c15-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/98/16/c/c/79/1'}