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lfunc_lfunctions • Show schema
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{'Lhash': '2885399034987919391006013601707', 'a10': [-1.840626665989856, 0.0], 'a2': [1.0543248410784238, 0.0], 'a3': [0.0, 0.0], 'a4': [-0.8883991294849563, 0.0], 'a5': [-1.745787061326524, 0.0], 'a6': [0.0, 0.0], 'a7': [2.4592465913048733, 0.0], 'a8': [-3.045310953165284, 0.0], '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': '729.1', 'coefficient_field': 'CDF', 'conductor': 729, 'conductor_radical': 3, 'conjugate': '2885399034987919391006013601707', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0543248410784238, 0], [2.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.745787061326524, 0], [5.0, 0]], [[1.0, 0], [-2.4592465913048733, 0], [7.0, 0]], [[1.0, 0], [1.254212938673476, 0], [11.0, 0]], [[1.0, 0], [4.549029454151093, 0], [13.0, 0]], [[1.0, 0], [6.6471696126285895, 0], [17.0, 0]], 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'6.29582690604307505329882815994999', '7.42935156140686612403097709011950', '8.186795186788081279533528059026123', '9.015895125244081630811074401616894', '9.951723136798602990986895106074880'], 'prelabel': '2-3e6-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4126944081982997, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.27617849466440400491199217303', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.58707604508317782956021549136', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.70689890497037420915147465874', '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': '1.1', 'conductor': 729, 'conductor_radical': 3, 'degree': 2, 'index': 26, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/729/2/a/a/1/5'], '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': '2-3e6-1.1-c1-0-26', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-3e6-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4126944081982997, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.27617849466440400491199217303', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2885399034987919391006013601707', 'Lhash_array': ['2885399034987919391006013601707'], 'label': '2-3e6-1.1-c1-0-26', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/729/2/a/a/1/5'}