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lfunc_lfunctions • Show schema
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{'Lhash': '2332083970938545981045356408300', 'a10': [27.54601769172771, 0.1906285845250289], 'a2': [0, 2.463849719329836], 'a3': [0, 0], 'a4': [1.9294445605582886, 0], 'a5': [0.07737021581692882, -11.180072175514093], 'a6': [0, 0], 'a7': [0, -19.240138586291785], 'a8': [0, 24.464659193632706], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 23.89577355232496, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-0.07737021581692882, 11.180072175514093]]]], 'bad_primes': [3, 5], 'central_character': '405.244', 'coefficient_field': 'CDF', 'conductor': 405, 'conductor_radical': 15, 'conjugate': '425356331332328055454607640302', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -2.463849719329836], [-8.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.07737021581692882, 11.180072175514093]], [[1.0, 0], [0, 19.240138586291785], [-343.0, 0]], [[1.0, 0], [39.85484902841625, 0], [1331.0, 0]], [[1.0, 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'1.83968987236599317078043388112', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.74747834069367055212028796321', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.60281979623459889005162118802', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 23.89577355232496, 'bad_primes': [3, 5], 'central_character': '5.4', 'conductor': 405, 'conductor_radical': 15, 'degree': 2, 'index': 57, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/405/4/b/f/244/11'], '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': '2-405-5.4-c3-0-57', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-405-5.4-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.8883303440259604, 'root_angle': 0.2511013932228183, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.83968987236599317078043388112', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2332083970938545981045356408300', 'Lhash_array': ['2332083970938545981045356408300'], 'label': '2-405-5.4-c3-0-57', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/405/4/b/f/244/11'}