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{'Lhash': '567172051962440813342051604407,957769162571266414525219773031,1702074348772818929637566280314,1866815269165963214278376830167,2217812207196780899486031108496,2617617715909529504453694133930', 'a10': -6, 'a2': 3, 'a3': 3, 'a4': 3, 'a5': -2, 'a6': 9, 'a7': 9, 'a8': -2, 'a9': 3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 281767.1583294514, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, -3, 6, -7, 6, -3, 1]], [3, [1, -3, 6, -7, 6, -3, 1]], [13, [1]]], 'bad_primes': [2, 3, 13], 'central_character': '1014.1', 'coefficient_field': '1.1.1.1', 'conductor': 1086995459474473536, 'conductor_radical': 78, 'degree': 12, 'euler_factors': [[1, -3, 6, -7, 6, -3, 1], [1, -3, 6, -7, 6, -3, 1], [1, 2, -1, -40, -47, 78, 671, 390, -1175, -5000, -625, 6250, 15625], [1, -9, 40, -119, 269, -400, 575, -2800, 13181, -40817, 96040, -151263, 117649], [1, -5, 0, 97, -205, -630, 5083, -6930, -24805, 129107, 0, -805255, 1771561], [1], 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-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 281767.1583294514, 'bad_primes': [2, 3, 13], 'central_character': '1.1', 'conductor': 1086995459474473536, 'conductor_radical': 78, 'degree': 12, 'dirichlet_coefficients': [1, 3, 3, 3, -2, 9, 9, -2, 3, -6, 5, 9, 0, 27, -6, -9, 8, 9, -4, -6, 27, 15, 0, -6, 5, 0, -2, 27, -11, -18, -10, -9, 15, 24, -18, 9, -8, -12, 0, 4, 2, 81, -12, 15, -6, 0, -8, -27, 41, 15, 24, 0, 10, -6, -10, -18, -12, -33, -5, -18, -22, -30, 27, 3, 0, 45, 6, 24, 0, -54, -18, -6, 26, -24, 15, -12, 45, 0, 62, 18, -9, 6, -26, 81, -16, -36, -33, -10, -14, -18, 0, 0, -30, -24, 8, -27, -23, 123, 15, 15], 'euler11': [1, -5, 0, 97, -205, -630, 5083, -6930, -24805, 129107, 0, -805255, 1771561], 'euler13': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler17': [1, -8, 1, 24, 786, -1808, -6447, -30736, 227154, 117912, 83521, -11358856, 24137569], 'euler19': [1, 4, -9, -76, -202, -156, 3811, -2964, -72922, -521284, -1172889, 9904396, 47045881], 'euler2': [1, -3, 6, -7, 6, -3, 1, 0, 0, 0, 0, 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'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': '12-1014e6-1.1-c1e6-0-4', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '12-1014e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.845493061836179, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 1120586303956678937, 'z1': {'__RealLiteral__': 0, 'data': '0.44741985832714980520524067479', 'prec': 103}}
-
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{'Lhash': '567172051962440813342051604407,957769162571266414525219773031,1702074348772818929637566280314,1866815269165963214278376830167,2217812207196780899486031108496,2617617715909529504453694133930', 'Lhash_array': ['567172051962440813342051604407', '957769162571266414525219773031', '1702074348772818929637566280314', '1866815269165963214278376830167', '2217812207196780899486031108496', '2617617715909529504453694133930'], 'label': '12-1014e6-1.1-c1e6-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1014/2/e/n'}