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lfunc_lfunctions • Show schema
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{'Lhash': '789995498070019858713270481319', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-43.859352345771335, 15.963498748054306], 'a4': [0, 0], 'a5': [-73.25664690736748, 415.45908977190714], 'a6': [0, 0], 'a7': [823.2173302484159, 1425.854241661464], 'a8': [0, 0], 'a9': [-6.529701189818733, 5.479069860074746], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 23.741261936793265, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [14946.129668786642, -25893.724083719895]]]], 'bad_primes': [2, 19], 'central_character': '76.73', 'coefficient_field': 'CDF', 'conductor': 76, 'conductor_radical': 38, 'conjugate': '2529047959567902656271624068115', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [43.859352345771335, -15.963498748054306], [1675.339197101205, -1405.7765023844615]], [[1.0, 0], [73.25664690736748, -415.45908977190714], [-73413.4859988991, -26720.32369731787]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 23.741261936793265, 'bad_primes': [2, 19], 'central_character': '19.16', 'conductor': 76, 'conductor_radical': 38, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/76/8/i/a/73/3'], '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': '2-76-19.16-c7-0-3', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-76-19.16-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.8725005835600745, 'root_angle': 0.4975716541445512, 'self_dual': False, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '0.62319656372803995040811550576339', 'prec': 113}}
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lfunc_instances • Show schema
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{'Lhash': '789995498070019858713270481319', 'Lhash_array': ['789995498070019858713270481319'], 'label': '2-76-19.16-c7-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/76/8/i/a/73/3'}