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{'Lhash': '222294682291211174532199766070,449232987406891517412508387753,1070112540701255633497851838308,1258298365058933114561139373357,1379733730775254651383841093025,1751096565466543633410210778633,2080037924635115730390553154430,2373108837658489922878677577481', 'a10': 0, 'a2': 0, 'a3': 4, 'a4': 0, 'a5': 4, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 8, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1757603459.4352527, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [7, [1, 0, 4, 0, 6, 0, 4, 0, 1]]], 'bad_primes': [2, 7], 'central_character': '1792.1', 'coefficient_field': '1.1.1.1', 'conductor': 106341808682864896865468416, 'conductor_radical': 14, 'degree': 16, 'euler_factors': [[1], [1, -4, 8, -12, 12, -20, 56, -140, 298, -420, 504, -540, 972, -2916, 5832, -8748, 6561], [1, -4, 8, 4, 12, -172, 600, -420, -86, -2100, 15000, -21500, 7500, 12500, 125000, -312500, 390625], [1, 0, 4, 0, 6, 0, 4, 0, 1], [1, 8, 32, 56, 4, -264, 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True, 'root_analytic_conductor': 3.7827492703341377, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e8-0', 'trace_hash': 261092736250353545, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.17535958429806206975419124703', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.35438234110093983926015604217', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.844169947545949358291580091123', 'prec': 107}}
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{'algebraic': True, 'analytic_conductor': 1757603459.4352527, 'bad_primes': [2, 7], 'central_character': '1.1', 'conductor': 106341808682864896865468416, 'conductor_radical': 14, 'degree': 16, 'dirichlet_coefficients': [1, 0, 4, 0, 4, 0, 0, 0, 8, 0, -8, 0, -12, 0, 16, 0, 8, 0, 4, 0, 0, 0, 0, 0, 8, 0, 12, 0, 0, 0, 8, 0, -32, 0, 0, 0, 8, 0, -48, 0, 0, 0, -24, 0, 32, 0, 40, 0, -4, 0, 32, 0, -16, 0, -32, 0, 16, 0, -52, 0, 20, 0, 0, 0, -48, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 20, 0, -12, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 16, 0, 72, 0, -64, 0], 'euler11': [1, 8, 32, 56, 4, -264, -672, -2680, -8346, -29480, -81312, -351384, 58564, 9018856, 56689952, 155897368, 214358881], 'euler13': [1, 12, 72, 364, 1724, 6892, 24824, 88540, 316650, 1151020, 4195256, 15141724, 49239164, 135150652, 347530248, 752982204, 815730721], 'euler17': [1, -8, 144, -888, 8812, -43304, 303472, -1200216, 6472678, -20403672, 87703408, -212752552, 735987052, -1260833016, 3475809936, -3282709384, 6975757441], 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'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1792/2/m/d'], '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': '16-1792e8-1.1-c1e8-0-7', '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}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '16-1792e8-1.1-c1e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.7827492703341377, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e8-0', 'trace_hash': 261092736250353545, 'z1': {'__RealLiteral__': 0, 'data': '0.17535958429806206975419124703', 'prec': 103}}
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{'Lhash': '222294682291211174532199766070,449232987406891517412508387753,1070112540701255633497851838308,1258298365058933114561139373357,1379733730775254651383841093025,1751096565466543633410210778633,2080037924635115730390553154430,2373108837658489922878677577481', 'Lhash_array': ['222294682291211174532199766070', '449232987406891517412508387753', '1070112540701255633497851838308', '1258298365058933114561139373357', '1379733730775254651383841093025', '1751096565466543633410210778633', '2080037924635115730390553154430', '2373108837658489922878677577481'], 'label': '16-1792e8-1.1-c1e8-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1792/2/m/d'}