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lfunc_lfunctions • Show schema
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{'Lhash': '1594063957736076294092335741923', 'a10': [-80.53530880284653, 0.0], 'a2': [8.0, 0.0], 'a3': [27.0, 0.0], 'a4': [64.0, 0.0], 'a5': [-10.066913600355816, 0.0], 'a6': [216.0, 0.0], 'a7': [971.1721323598775, 0.0], 'a8': [512.0, 0.0], 'a9': [729.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 43.10913351680882, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-8.0, 0]]], [3, [[1.0, 0], [-27.0, 0]]], [23, [[1.0, 0], [12167.0, 0]]]], 'bad_primes': [2, 3, 23], 'central_character': '138.1', 'coefficient_field': 'CDF', 'conductor': 138, 'conductor_radical': 138, 'degree': 2, 'euler_factors': [[[1.0, 0], [-8.0, 0]], [[1.0, 0], [-27.0, 0]], [[1.0, 0], [10.066913600355816, 0], [78125.0, 0]], [[1.0, 0], [-971.1721323598775, 0], [823543.0, 0]], [[1.0, 0], [2066.595103841759, 0], [19487171.0, 0]], [[1.0, 0], [-9535.56726041134, 0], [62748517.0, 0]], [[1.0, 0], [20856.3768701619, 0], [410338673.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 43.10913351680882, 'bad_primes': [2, 3, 23], 'central_character': '1.1', 'conductor': 138, 'conductor_radical': 138, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/138/8/a/h/1/2'], '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': '2-138-1.1-c7-0-14', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-138-1.1-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.565754603761004, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '1.25749473667986984974774172860', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1594063957736076294092335741923', 'Lhash_array': ['1594063957736076294092335741923'], 'label': '2-138-1.1-c7-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/138/8/a/h/1/2'}