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lfunc_lfunctions • Show schema
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{'Lhash': '1322189597834332449172398111398', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-2.3262431525030562, -2.3262431525030562], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [-0.9820110235348916, 0], 'a8': [0, 0], 'a9': [0, 7.822814409134714], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 12.776064323404867, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5], 'central_character': '1600.49', 'coefficient_field': 'CDF', 'conductor': 1600, 'conductor_radical': 10, 'conjugate': '589766704250106481459515145861', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [2.3262431525030562, 2.3262431525030562], [0, 3.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.9820110235348916, 0], [7.0, 0]], [[1.0, 0], [-1.6264483020947849, -1.6264483020947849], [0, 11.0]], [[1.0, 0], [-0.6905624815457957, -0.6905624815457957], [0, 13.0]], [[1.0, 0], [0, 2.195768358618768], [-17.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 12.776064323404867, 'bad_primes': [2, 5], 'central_character': '80.69', 'conductor': 1600, 'conductor_radical': 10, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1600/2/q/h/49/1'], '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': '2-40e2-80.69-c1-0-14', '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': '2-40e2-80.69-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.5743620862197027, 'root_angle': 0.35474138610172923, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.04302368302139704603897760689', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1322189597834332449172398111398', 'Lhash_array': ['1322189597834332449172398111398'], 'label': '2-40e2-80.69-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1600/2/q/h/49/1'}