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9.08860132297797, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c3e4-0', 'trace_hash': 192098289740571003, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.37689160923227699242107769485', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.71777140620769852622910938964', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.72636508937592186523907670316', 'prec': 103}}
-
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{'algebraic': True, 'analytic_conductor': 46556082.16593618, 'bad_primes': [2, 5, 7], 'central_character': '1.1', 'conductor': 3841600000000, 'conductor_radical': 70, 'degree': 8, 'dirichlet_coefficients': [1, 0, 1, 0, 0, 0, 28, 0, -21, 0, 36, 0, 94, 0, 0, 0, -53, 0, -91, 0, 28, 0, -63, 0, 0, 0, 118, 0, -103, 0, 492, 0, 36, 0, 0, 0, 387, 0, 94, 0, -475, 0, -213, 0, 0, 0, -52, 0, 490, 0, -53, 0, -378, 0, 0, 0, -91, 0, -548, 0, -704, 0, -588, 0, 0, 0, -248, 0, -63, 0, -635, 0, 959, 0, 0, 0, 1008, 0, 151, 0, -85, 0, 1969, 0, 0, 0, -103, 0, 965, 0, 2632, 0, 492, 0, 0, 0, 1006, 0, -756, 0], 'euler11': [1, -36, 3246, -105704, 6275815, -140692024, 5750487006, -84886116876, 3138428376721], 'euler13': [1, -94, 4192, -155762, 6324830, -342209114, 20233983328, -996822941062, 23298085122481], 'euler17': [1, 53, 16220, 593663, 109023414, 2916666319, 391511369180, 6285157454341, 582622237229761], 'euler19': [1, 91, 26430, 1755535, 269614922, 12041214565, 1243422634830, 29364580497889, 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4534227353694, -2248421331767322, 2851116569799099496, -764792445006492608302, 693842360995438000295041]], 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1400/4/a/s'], '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': '8-1400e4-1.1-c3e4-0-3', 'motivic_weight': 3, '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': [3, 3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '8-1400e4-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 9.08860132297797, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e4-0', 'trace_hash': 192098289740571003, 'z1': {'__RealLiteral__': 0, 'data': '0.37689160923227699242107769485', 'prec': 103}}
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{'Lhash': '477766874664279215212986510757,909883353905849299843676329665,920777141532218847639800705494,1630841051436174006302874139506', 'Lhash_array': ['477766874664279215212986510757', '909883353905849299843676329665', '920777141532218847639800705494', '1630841051436174006302874139506'], 'label': '8-1400e4-1.1-c3e4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1400/4/a/s'}