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lfunc_lfunctions • Show schema
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{'Lhash': '751654366176353115249636599896', 'a10': [-0.7662780916410671, -3.321310451778282], 'a2': [-1.3780134384735379, 0.3179291798283656], 'a3': [0.0, -2.4272760560636915], 'a4': [1.7978420732273255, -0.8762213645727156], 'a5': [0.0, 2.4102163005444894], 'a6': [0.7717018857213593, 3.3448190241408153], 'a7': [0.0, -1.3326155278352259], 'a8': [-2.1988741973736863, 1.779031271260915], 'a9': [-2.8916690523401085, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.334006855021532, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.3780134384735379, -0.3179291798283656]]], [167, [[1.0, 0], [12.021448384280676, -4.741811757553806]]]], 'bad_primes': [2, 167], 'central_character': '668.667', 'coefficient_field': 'CDF', 'conductor': 668, 'conductor_radical': 334, 'conjugate': '1890006645456328263634959648104', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.3780134384735379, -0.3179291798283656]], [[1.0, 0], [0, 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'2.60468272063481142542495625041', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.68836990340284791428855769753', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.334006855021532, 'bad_primes': [2, 167], 'central_character': '668.667', 'conductor': 668, 'conductor_radical': 334, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/668/2/b/b/667/4'], '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': '2-668-668.667-c1-0-6', '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': '2-668-668.667-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.3095468938780033, 'root_angle': -0.13197208959195417, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.59295074371520379660964195321', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '751654366176353115249636599896', 'Lhash_array': ['751654366176353115249636599896'], 'label': '2-668-668.667-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/668/2/b/b/667/4'}