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lfunc_lfunctions • Show schema
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{'Lhash': '1182683749772314647590687434506', 'a10': [1.9870044301368996, 1.025579540853041], 'a2': [-0.9335804264972017, 0.35836794954530027], 'a3': [0.9073250599132978, -0.5892237834060818], 'a4': [0.7431448254773942, -0.6691306063588582], 'a5': [-1.4874936061879211, -1.669539688521975], 'a6': [-0.635901997322894, 0.8752440123067399], 'a7': [-0.0897120624252952, 2.6442298965588074], 'a8': [-0.4539904997395468, 0.8910065241883679], 'a9': [-0.7441558318121084, 1.6714013637652765], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.148480955638592, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.9335804264972017, -0.35836794954530027]]], [5, [[1.0, 0], [1.4874936061879211, 1.669539688521975]]], [7, [[1.0, 0], [0.0897120624252952, -2.6442298965588074]]], [11, [[1.0, 0], [-3.168260795092272, -0.9808789600563794]]]], 'bad_primes': [2, 5, 7, 11], 'central_character': '770.3', 'coefficient_field': 'CDF', 'conductor': 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'root_angle': -0.09853874118469713, 'root_number': '0.9524650880078268 - 0.30464775746137157*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.0492693705923', 'prec': 54}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.932972973435568747611438041926', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.76215271484278331467152459522', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.71625495750629902288254228333', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.148480955638592, 'bad_primes': [2, 5, 7, 11], 'central_character': '385.3', 'conductor': 770, 'conductor_radical': 770, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/770/2/bv/a/3/16'], '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': '2-770-385.3-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': '2-770-385.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4796130657097675, 'root_angle': -0.049269370592348566, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.932972973435568747611438041926', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1182683749772314647590687434506', 'Lhash_array': ['1182683749772314647590687434506'], 'label': '2-770-385.3-c1-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/770/2/bv/a/3/16'}