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lfunc_lfunctions • Show schema
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{'Lhash': '2099785081661327539289826425848', 'a10': [-0.9974685115806265, -0.292883180871872], 'a2': [-0.6548607339452851, 0.7557495743542583], 'a3': [0.8412535328311812, -0.5406408174555976], 'a4': [-0.14231483827328514, -0.9898214418809327], 'a5': [0.4318566223015617, 0.9456340978448178], 'a6': [-0.14231483827328514, 0.9898214418809327], 'a7': [-0.9594929736144974, 0.28173255684142967], 'a8': [0.8412535328311812, 0.5406408174555976], 'a9': [0.41541501300188644, -0.9096319953545183], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.713548835255689, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.6548607339452851, -0.7557495743542583]]], [3, [[1.0, 0], [-0.8412535328311812, 0.5406408174555976]]], [7, [[1.0, 0], [0.9594929736144974, -0.28173255684142967]]], [23, [[1.0, 0], [1.4212915590709374, 4.580385388164811]]]], 'bad_primes': [2, 3, 7, 23], 'central_character': '966.85', 'coefficient_field': 'CDF', 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2.777327642763037, 'root_angle': 0.4534303603281118, 'root_number': '0.1457814724863402 + 0.9893168159289089*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.226715180164', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.65643836028893103802017942882', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.67615473460964822266252756377', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.81778723994971849280650002166', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.713548835255689, 'bad_primes': [2, 3, 7, 23], 'central_character': '23.16', 'conductor': 966, 'conductor_radical': 966, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/966/2/q/i/85/3'], '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': '2-966-23.16-c1-0-15', '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': '2-966-23.16-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.777327642763037, 'root_angle': 0.2267151801640559, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.65643836028893103802017942882', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2099785081661327539289826425848', 'Lhash_array': ['2099785081661327539289826425848'], 'label': '2-966-23.16-c1-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/966/2/q/i/85/3'}