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  • lfunc_lfunctions • Show schema
    {'Lhash': '313257566236050239294183846696', 'a10': [0, 0], 'a2': [0, 128.0], 'a3': [0, -2187.0], 'a4': [-16384.0, 0], 'a5': [0, 0], 'a6': [279936.0, 0], 'a7': [0, -2025056.0], 'a8': [0, -2097152.0], 'a9': [-4782969.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 214.04025764988077, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '7.5', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [0, -128.0]]], [3, [[1.0, 0], [0, 2187.0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '150.49', 'coefficient_field': 'CDF', 'conductor': 150, 'conductor_radical': 30, 'conjugate': '1236133243856174764231972719058', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -128.0]], [[1.0, 0], [0, 2187.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 2025056.0], [-4747561509943.0, 0]], [[1.0, 0], [-110255052.0, 0], [4177248169415651.0, 0]], [[1.0, 0], [0, -56047862.0], [-51185893014090760, 0]], [[1.0, 0], [0, -1930104414.0], [-2862423051509816000, 0]], [[1.0, 0], 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0.8944271909999158785636694674925104941762473438446102897*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.32379180882521663', 'prec': 57}, 'spectral_label': 'c15-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.24711664726830165566779003831', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '1.49681853983695539882816281893', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.59610809381468700034527407906', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 214.04025764988077, 'bad_primes': [2, 3, 5], 'central_character': '5.4', 'conductor': 150, 'conductor_radical': 30, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/150/16/c/i/49/2'], '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': '2-150-5.4-c15-0-6', 'motivic_weight': 15, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [15], 'order_of_vanishing': 0, 'prelabel': '2-150-5.4-c15-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 14.630114751767355, 'root_angle': -0.32379180882521663, 'self_dual': False, 'spectral_label': 'c15-0', 'z1': {'__RealLiteral__': 0, 'data': '0.24711664726830165566779003831', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '313257566236050239294183846696', 'Lhash_array': ['313257566236050239294183846696'], 'factors': ['2-150-5.4-c15-0-6'], 'label': '2-150-5.4-c15-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/150/16/c/i/49/2'}