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lfunc_lfunctions • Show schema
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{'Lhash': '699067111639231022215311196317', 'a10': [-1.3790081313599358, -2.388512147566025], 'a2': [-1.3790081313599358, 2.388512147566025], 'a3': [-0.7459592127163204, 1.2920392567987464], 'a4': [-2.803326852713644, -4.855504539122186], 'a5': [-0.5, 0.8660254037844386], 'a6': [-2.0573676399973233, -3.563465282323439], 'a7': [-2.848637442707416, 0.0], 'a8': [9.947209573567344, 0.0], 'a9': [0.38708970592729514, 0.6704590377529708], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.758578819202164, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0.5, -0.8660254037844386]]], [19, [[1.0, 0], [3.360694492710967, -2.7759201225291363]]]], 'bad_primes': [5, 19], 'central_character': '95.11', 'coefficient_field': 'CDF', 'conductor': 95, 'conductor_radical': 95, 'conjugate': '5587031861380931565847786935909', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.3790081313599358, -2.388512147566025], [-1.0, -1.7320508075688772]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.758578819202164, 'bad_primes': [5, 19], 'central_character': '19.11', 'conductor': 95, 'conductor_radical': 95, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/95/2/e/c/11/1'], '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': '2-95-19.11-c1-0-0', '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': '2-95-19.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8709643042066443, 'root_angle': 0.3562439965655445, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.55146671449796190213619435113', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '699067111639231022215311196317', 'Lhash_array': ['699067111639231022215311196317'], 'label': '2-95-19.11-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/95/2/e/c/11/1'}