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lfunc_lfunctions • Show schema
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{'Lhash': '1894956839028826544648100386690', 'a10': [-0.6548607339452851, 0.7557495743542583], 'a2': [0.8412535328311812, -0.5406408174555976], 'a3': [-0.23944572094339864, 1.6653815697087766], 'a4': [0.41541501300188644, -0.9096319953545183], 'a5': [-0.9594929736144974, 0.28173255684142967], 'a6': [0.698938694557896, 1.5304622593365302], 'a7': [0.8576851617267148, 0.9898214418809327], 'a8': [-0.14231483827328514, -0.9898214418809327], 'a9': [-1.7566685458330675, -0.5158044243681041], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.2295699058111811, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.8412535328311812, 0.5406408174555976]]], [5, [[1.0, 0], [0.9594929736144974, -0.28173255684142967]]], [23, [[1.0, 0], [-0.8412535328311812, 0.5406408174555976]]]], 'bad_primes': [2, 5, 23], 'central_character': '460.219', 'coefficient_field': 'CDF', 'conductor': 460, 'conductor_radical': 230, 'conjugate': 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'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.49485736739102726127018663985', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.26122238474860645996683708302', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.54315406489463633890640452151', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.2295699058111811, 'bad_primes': [2, 5, 23], 'central_character': '460.219', 'conductor': 460, 'conductor_radical': 230, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/460/1/n/a/219/1'], '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': '2-460-460.219-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-460-460.219-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.47913453832006425, 'root_angle': -0.12992037260768396, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.49485736739102726127018663985', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1894956839028826544648100386690', 'Lhash_array': ['1894956839028826544648100386690'], 'label': '2-460-460.219-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/460/1/n/a/219/1'}