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lfunc_lfunctions • Show schema
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{'Lhash': '61991993411409207885020896578', 'a10': [-0.9240812563882914, 1.600555686386603], 'a2': [0.5957775649681665, -0.49991673502848644], 'a3': [0.0, 0.0], 'a4': [-0.24226219037600483, 1.3739371558602007], 'a5': [-2.233036361313605, 0.812758767552261], 'a6': [0.0, 0.0], 'a7': [-0.43435945218273425, -2.4633748643430486], 'a8': [1.3202521753559653, 2.2867438465198666], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.821094307351343, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]]], 'bad_primes': [3], 'central_character': '729.325', 'coefficient_field': 'CDF', 'conductor': 729, 'conductor_radical': 3, 'conjugate': '2961344205692066252660366259066', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5957775649681665, 0.49991673502848644], [0.3472963553338607, -1.969615506024416]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.233036361313605, -0.812758767552261], [3.83022221559489, -3.2139380484326967]], 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.60468793845569681941598514682', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.821094307351343, 'bad_primes': [3], 'central_character': '27.22', 'conductor': 729, 'conductor_radical': 3, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/729/2/e/t/325/2'], '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': '2-3e6-27.22-c1-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-3e6-27.22-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4126944081982997, 'root_angle': -0.48148148148148145, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.04890306003897926744243825155', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '61991993411409207885020896578', 'Lhash_array': ['61991993411409207885020896578'], 'label': '2-3e6-27.22-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/729/2/e/t/325/2'}