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{'Lhash': '822090191947556271497272455616,956731712842221207081698334643,979306527096415512542718391085,1222812213484185756230032179913', 'a10': 12, 'a2': -3, 'a3': 0, 'a4': 4, 'a5': -4, 'a6': 0, 'a7': 11, 'a8': -4, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3573550.8346106573, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1]], [5, [1, 4, 6, 4, 1]], [11, [1]]], 'bad_primes': [3, 5, 11], 'central_character': '5445.1', 'coefficient_field': '1.1.1.1', 'conductor': 879005386400625, 'conductor_radical': 165, 'degree': 8, 'euler_factors': [[1, 3, 5, 7, 11, 14, 20, 24, 16], [1], [1, 4, 6, 4, 1], [1, -11, 67, -276, 845, -1932, 3283, -3773, 2401], [1], [1, -7, 59, -264, 1185, -3432, 9971, -15379, 28561], [1, 3, 60, 127, 1451, 2159, 17340, 14739, 83521], [1, -12, 122, -749, 3939, -14231, 44042, -82308, 130321], [1, -9, 38, 85, -979, 1955, 20102, -109503, 279841], [1, -8, 112, -601, 4759, -17429, 94192, -195112, 707281], 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-
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{'algebraic': True, 'analytic_conductor': 3573550.8346106573, 'bad_primes': [3, 5, 11], 'central_character': '1.1', 'conductor': 879005386400625, 'conductor_radical': 165, 'degree': 8, 'dirichlet_coefficients': [1, -3, 0, 4, -4, 0, 11, -4, 0, 12, 0, 0, 7, -33, 0, 2, -3, 0, 12, -16, 0, 0, 9, 0, 10, -21, 0, 44, 8, 0, 3, 5, 0, 9, -44, 0, -3, -36, 0, 16, 7, 0, 21, 0, 0, -27, 3, 0, 54, -30, 0, 28, 11, 0, 0, -44, 0, -24, 7, 0, 4, -9, 0, -19, -28, 0, -1, -12, 0, 132, 15, 0, -9, 9, 0, 48, 0, 0, 6, -8, 0, -21, -15, 0, 12, -63, 0, 0, 0, 0, 77, 36, 0, -9, -48, 0, 6, -162, 0, 40], 'euler11': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler13': [1, -7, 59, -264, 1185, -3432, 9971, -15379, 28561], 'euler17': [1, 3, 60, 127, 1451, 2159, 17340, 14739, 83521], 'euler19': [1, -12, 122, -749, 3939, -14231, 44042, -82308, 130321], 'euler2': [1, 3, 5, 7, 11, 14, 20, 24, 16], 'euler23': [1, -9, 38, 85, -979, 1955, 20102, -109503, 279841], 'euler29': [1, -8, 112, -601, 4759, -17429, 94192, -195112, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, -3, 93, -276, 3945, -8556, 89373, -89373, 923521], 'euler37': [1, 3, 92, 305, 4221, 11285, 125948, 151959, 1874161], 'euler41': [1, -7, 118, -479, 5815, -19639, 198358, -482447, 2825761], 'euler43': [1, -21, 293, -2900, 21441, -124700, 541757, -1669647, 3418801], 'euler47': [1, -3, 137, -290, 8531, -13630, 302633, -311469, 4879681], 'euler5': [1, 4, 6, 4, 1, 0, 0, 0, 0], 'euler53': [1, -11, 245, -1776, 20351, -94128, 688205, -1637647, 7890481], 'euler59': [1, -7, 127, -44, 4999, -2596, 442087, -1437653, 12117361], 'euler61': [1, -4, 203, -642, 17379, -39162, 755363, -907924, 13845841], 'euler67': [1, 1, 186, -37, 15845, -2479, 834954, 300763, 20151121], 'euler7': [1, -11, 67, -276, 845, -1932, 3283, -3773, 2401], 'euler71': [1, -15, 186, -925, 8531, -65675, 937626, -5368665, 25411681], 'euler73': [1, 9, 218, 1375, 20781, 100375, 1161722, 3501153, 28398241], 'euler79': [1, -6, 220, -487, 20123, -38473, 1373020, -2958234, 38950081], 'euler83': [1, 15, 375, 3710, 48443, 307930, 2583375, 8576805, 47458321], 'euler89': [1, 0, 206, 400, 21551, 35600, 1631726, 0, 62742241], 'euler97': [1, -6, 332, -1836, 45565, -178092, 3123788, -5476038, 88529281], 'euler_factors': [[1, 3, 5, 7, 11, 14, 20, 24, 16], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 4, 6, 4, 1, 0, 0, 0, 0], [1, -11, 67, -276, 845, -1932, 3283, -3773, 2401], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -7, 59, -264, 1185, -3432, 9971, -15379, 28561], [1, 3, 60, 127, 1451, 2159, 17340, 14739, 83521], [1, -12, 122, -749, 3939, -14231, 44042, -82308, 130321], [1, -9, 38, 85, -979, 1955, 20102, -109503, 279841], [1, -8, 112, -601, 4759, -17429, 94192, -195112, 707281], [1, -3, 93, -276, 3945, -8556, 89373, -89373, 923521], [1, 3, 92, 305, 4221, 11285, 125948, 151959, 1874161], [1, -7, 118, -479, 5815, -19639, 198358, -482447, 2825761], [1, -21, 293, -2900, 21441, -124700, 541757, -1669647, 3418801], [1, -3, 137, -290, 8531, -13630, 302633, -311469, 4879681], [1, -11, 245, -1776, 20351, -94128, 688205, -1637647, 7890481], [1, -7, 127, -44, 4999, -2596, 442087, -1437653, 12117361], [1, -4, 203, -642, 17379, -39162, 755363, -907924, 13845841], [1, 1, 186, -37, 15845, -2479, 834954, 300763, 20151121], [1, -15, 186, -925, 8531, -65675, 937626, -5368665, 25411681], [1, 9, 218, 1375, 20781, 100375, 1161722, 3501153, 28398241], [1, -6, 220, -487, 20123, -38473, 1373020, -2958234, 38950081], [1, 15, 375, 3710, 48443, 307930, 2583375, 8576805, 47458321], [1, 0, 206, 400, 21551, 35600, 1631726, 0, 62742241], [1, -6, 332, -1836, 45565, -178092, 3123788, -5476038, 88529281]], 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/5445/2/a/bg'], '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': '8-5445e4-1.1-c1e4-0-6', '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': '8-5445e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.593826195812807, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1133030027761760073, 'z1': {'__RealLiteral__': 0, 'data': '0.64851481299306459040536794654', 'prec': 103}}
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{'Lhash': '822090191947556271497272455616,956731712842221207081698334643,979306527096415512542718391085,1222812213484185756230032179913', 'Lhash_array': ['822090191947556271497272455616', '956731712842221207081698334643', '979306527096415512542718391085', '1222812213484185756230032179913'], 'factors': ['2-5445-1.1-c1-0-34', '2-5445-1.1-c1-0-48', '2-5445-1.1-c1-0-55', '2-5445-1.1-c1-0-75'], 'label': '8-5445e4-1.1-c1e4-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/5445/2/a/bg'}