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lfunc_lfunctions • Show schema
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{'Lhash': '266139684723354622173901716222', 'a10': [0.8742880791757581, 1.0963225749777104], 'a2': [-0.6261179956084775, -0.3015225350636864], 'a3': [0.0, 0.0], 'a4': [-0.9458716984439217, -1.1860855943663353], 'a5': [-1.8179778416000474, -0.8754919860690765], 'a6': [0.0, 0.0], 'a7': [-1.4931852370001417, 1.8723950639816622], 'a8': [0.5438725055881509, 2.3828611400231217], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.084095492755419, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [29, [[1.0, 0], [5.322019848664133, -0.8222558789239538]]]], 'bad_primes': [3, 29], 'central_character': '261.190', 'coefficient_field': 'CDF', 'conductor': 261, 'conductor_radical': 87, 'conjugate': '2533372438828367098408229268517', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.6261179956084775, 0.3015225350636864], [1.246979603717467, 1.5636629649360596]], [[1.0, 0], [0, 0]], [[1.0, 0], 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'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.20994719260610021409645401650', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.28419823732642817884397142240', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.93757402737235400987281864287', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.084095492755419, 'bad_primes': [3, 29], 'central_character': '29.16', 'conductor': 261, 'conductor_radical': 87, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/261/2/k/c/190/1'], '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': '2-261-29.16-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': '2-261-29.16-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4436396685999657, 'root_angle': -0.3253175210438559, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.20994719260610021409645401650', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '266139684723354622173901716222', 'Lhash_array': ['266139684723354622173901716222'], 'label': '2-261-29.16-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/261/2/k/c/190/1'}