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lfunc_lfunctions • Show schema
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{'Lhash': '1186785581758347977223814700100', 'a10': [0, 0], 'a2': [0, -3.7720018726587656], 'a3': [0, 9.0], 'a4': [17.772001872658766, 0], 'a5': [0, 0], 'a6': [33.94801685392889, 0], 'a7': [0, -49.0], 'a8': [0, -187.74008426964446], 'a9': [-81.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 84.20150540181486, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, -9.0]]], [5, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0, 49.0]]]], 'bad_primes': [3, 5, 7], 'central_character': '525.274', 'coefficient_field': 'CDF', 'conductor': 525, 'conductor_radical': 105, 'conjugate': '807205284890628815911485279309', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 3.7720018726587656], [-32.0, 0]], [[1.0, 0], [0, -9.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 49.0]], [[1.0, 0], [454.3201123595259, 0], [161051.0, 0]], [[1.0, 0], [0, -174.49612734079605], [-371293.0, 0]], [[1.0, 0], [0, -1561.9361647939713], [-1419857.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 84.20150540181486, 'bad_primes': [3, 5, 7], 'central_character': '5.4', 'conductor': 525, 'conductor_radical': 105, 'degree': 2, 'index': 56, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/525/6/d/j/274/2'], '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': '2-525-5.4-c5-0-56', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-525-5.4-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.176137826003643, 'root_angle': 0.17620819117478337, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.936208748329135500678718937013', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1186785581758347977223814700100', 'Lhash_array': ['1186785581758347977223814700100'], 'label': '2-525-5.4-c5-0-56', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/525/6/d/j/274/2'}