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{'Lhash': '1187103450818936866561323885222,1661719511786519627511731717189,2229023809835666553710282392391,2347878760424422647518827059128', 'a10': 0, 'a2': 0, 'a3': 4, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 8, 'a8': 0, 'a9': 8, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 526.8820821018941, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, -4, 8, -12, 9]], [5, [1]]], 'bad_primes': [2, 3, 5], 'central_character': '600.1', 'coefficient_field': '1.1.1.1', 'conductor': 129600000000, 'conductor_radical': 30, 'degree': 8, 'euler_factors': [[1], [1, -4, 8, -12, 9], [1], [1, -8, 32, -120, 386, -840, 1568, -2744, 2401], [1, 0, 20, 0, 342, 0, 2420, 0, 14641], [1, 0, 0, 0, 338, 0, 0, 0, 28561], [1, 0, 0, 0, -254, 0, 0, 0, 83521], [1, 0, -44, 0, 1206, 0, -15884, 0, 130321], [1, 0, 0, 0, -958, 0, 0, 0, 279841], [1, 0, 52, 0, 2358, 0, 43732, 0, 707281], [1, -32, 508, -5024, 33670, -155744, 488188, -953312, 923521], [1, 32, 512, 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{'algebraic': True, 'analytic_conductor': 526.8820821018941, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 129600000000, 'conductor_radical': 30, 'degree': 8, 'dirichlet_coefficients': [1, 0, 4, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 12, 0, 0, 0, 32, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 64, 0, 0, 0, 24, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 32, 0, 0, 0], 'euler11': [1, 0, 20, 0, 342, 0, 2420, 0, 14641], 'euler13': [1, 0, 0, 0, 338, 0, 0, 0, 28561], 'euler17': [1, 0, 0, 0, -254, 0, 0, 0, 83521], 'euler19': [1, 0, -44, 0, 1206, 0, -15884, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, 0, 0, -958, 0, 0, 0, 279841], 'euler29': [1, 0, 52, 0, 2358, 0, 43732, 0, 707281], 'euler3': [1, -4, 8, -12, 9, 0, 0, 0, 0], 'euler31': [1, -32, 508, -5024, 33670, -155744, 488188, -953312, 923521], 'euler37': [1, 32, 512, 5280, 38066, 195360, 700928, 1620896, 1874161], 'euler41': [1, 0, -100, 0, 5862, 0, -168100, 0, 2825761], 'euler43': [1, -8, 32, -408, 5138, -17544, 59168, -636056, 3418801], 'euler47': [1, 0, 0, 0, 3682, 0, 0, 0, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, 0, 0, -3854, 0, 0, 0, 7890481], 'euler59': [1, 0, 172, 0, 14358, 0, 598732, 0, 12117361], 'euler61': [1, 24, 460, 5256, 49974, 320616, 1711660, 5447544, 13845841], 'euler67': [1, -24, 288, -3336, 33458, -223512, 1292832, -7218312, 20151121], 'euler7': [1, -8, 32, -120, 386, -840, 1568, -2744, 2401], 'euler71': [1, 0, -28, 0, 10278, 0, -141148, 0, 25411681], 'euler73': [1, 32, 512, 6432, 64418, 469536, 2728448, 12448544, 28398241], 'euler79': [1, 0, -316, 0, 37446, 0, -1972156, 0, 38950081], 'euler83': [1, 0, 0, 0, -12878, 0, 0, 0, 47458321], 'euler89': [1, 0, 100, 0, 18342, 0, 792100, 0, 62742241], 'euler97': [1, -32, 512, -7200, 84866, -698400, 4817408, -29205536, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -4, 8, -12, 9, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -8, 32, -120, 386, -840, 1568, -2744, 2401], [1, 0, 20, 0, 342, 0, 2420, 0, 14641], [1, 0, 0, 0, 338, 0, 0, 0, 28561], [1, 0, 0, 0, -254, 0, 0, 0, 83521], [1, 0, -44, 0, 1206, 0, -15884, 0, 130321], [1, 0, 0, 0, -958, 0, 0, 0, 279841], [1, 0, 52, 0, 2358, 0, 43732, 0, 707281], [1, -32, 508, -5024, 33670, -155744, 488188, -953312, 923521], [1, 32, 512, 5280, 38066, 195360, 700928, 1620896, 1874161], [1, 0, -100, 0, 5862, 0, -168100, 0, 2825761], [1, -8, 32, -408, 5138, -17544, 59168, -636056, 3418801], [1, 0, 0, 0, 3682, 0, 0, 0, 4879681], [1, 0, 0, 0, -3854, 0, 0, 0, 7890481], [1, 0, 172, 0, 14358, 0, 598732, 0, 12117361], [1, 24, 460, 5256, 49974, 320616, 1711660, 5447544, 13845841], [1, -24, 288, -3336, 33458, -223512, 1292832, -7218312, 20151121], [1, 0, -28, 0, 10278, 0, -141148, 0, 25411681], [1, 32, 512, 6432, 64418, 469536, 2728448, 12448544, 28398241], [1, 0, -316, 0, 37446, 0, -1972156, 0, 38950081], [1, 0, 0, 0, -12878, 0, 0, 0, 47458321], [1, 0, 100, 0, 18342, 0, 792100, 0, 62742241], [1, -32, 512, -7200, 84866, -698400, 4817408, -29205536, 88529281]], 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/600/2/r/e'], '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': '8-600e4-1.1-c1e4-0-16', '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}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '8-600e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.188840816797061, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 2114250891168870083, 'z1': {'__RealLiteral__': 0, 'data': '0.936459502804013404569416563802', 'prec': 107}}
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{'Lhash': '1187103450818936866561323885222,1661719511786519627511731717189,2229023809835666553710282392391,2347878760424422647518827059128', 'Lhash_array': ['1187103450818936866561323885222', '1661719511786519627511731717189', '2229023809835666553710282392391', '2347878760424422647518827059128'], 'label': '8-600e4-1.1-c1e4-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/600/2/r/e'}