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-
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{'algebraic': True, 'analytic_conductor': 0.010407547300778154, 'bad_primes': [2, 5], 'central_character': '1.1', 'conductor': 2560000, 'conductor_radical': 10, 'degree': 8, 'dirichlet_coefficients': [1, -2, 0, 2, 0, 0, -4, -4, 4, 0, 0, 0, 0, 8, 0, 8, 0, -8, 0, 0, 0, 0, -4, 0, -2, 0, 0, -8, 0, 0, -8, -8, 0, 0, 0, 8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 8, 20, 0, -12, 4, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 16, -16, 8, 0, 0, 0, 0, 0, 0, 8, -16, 16, 0, 0, 0, 0, 0, -32, 0, 6, 16, 0, 0, 0, 0, 0, 0, 8, 0, 0, -8, 0, -40, 0, 0, -16, 24, 0, -4], 'euler11': [1, 0, -36, 0, 566, 0, -4356, 0, 14641], 'euler13': [1, 0, -28, 0, 534, 0, -4732, 0, 28561], 'euler17': [1, 0, 44, 0, 1062, 0, 12716, 0, 83521], 'euler19': [1, 0, -20, 0, 54, 0, -7220, 0, 130321], 'euler2': [1, 2, 2, 4, 4, 0, 0, 0, 0], 'euler23': [1, 4, 44, 172, 1642, 3956, 23276, 48668, 279841], 'euler29': [1, 0, -20, 0, 1782, 0, -16820, 0, 707281], 'euler3': [1, 0, -4, 0, 10, 0, -36, 0, 81], 'euler31': [1, 8, 124, 680, 5830, 21080, 119164, 238328, 923521], 'euler37': [1, 0, -140, 0, 7638, 0, -191660, 0, 1874161], 'euler41': [1, 8, 164, 920, 10150, 37720, 275684, 551368, 2825761], 'euler43': [1, 0, -68, 0, 4266, 0, -125732, 0, 3418801], 'euler47': [1, -20, 332, -3260, 27274, -153220, 733388, -2076460, 4879681], 'euler5': [1, 0, 2, 0, 1, 0, 0, 0, 0], 'euler53': [1, 0, -60, 0, 3446, 0, -168540, 0, 7890481], 'euler59': [1, 0, -180, 0, 14294, 0, -626580, 0, 12117361], 'euler61': [1, 0, -140, 0, 11574, 0, -520940, 0, 13845841], 'euler67': [1, 0, -100, 0, 10506, 0, -448900, 0, 20151121], 'euler7': [1, 4, 28, 76, 298, 532, 1372, 1372, 2401], 'euler71': [1, -8, 284, -1640, 30310, -116440, 1431644, -2863288, 25411681], 'euler73': [1, -16, 364, -3568, 42502, -260464, 1939756, -6224272, 28398241], 'euler79': [1, 32, 604, 8096, 83206, 639584, 3769564, 15777248, 38950081], 'euler83': [1, 0, -308, 0, 37386, 0, -2121812, 0, 47458321], 'euler89': [1, -8, 284, -1784, 36646, -158776, 2249564, -5639752, 62742241], 'euler97': [1, 16, 268, 3184, 41638, 308848, 2521612, 14602768, 88529281], 'euler_factors': [[1, 2, 2, 4, 4, 0, 0, 0, 0], [1, 0, -4, 0, 10, 0, -36, 0, 81], [1, 0, 2, 0, 1, 0, 0, 0, 0], [1, 4, 28, 76, 298, 532, 1372, 1372, 2401], [1, 0, -36, 0, 566, 0, -4356, 0, 14641], [1, 0, -28, 0, 534, 0, -4732, 0, 28561], [1, 0, 44, 0, 1062, 0, 12716, 0, 83521], [1, 0, -20, 0, 54, 0, -7220, 0, 130321], [1, 4, 44, 172, 1642, 3956, 23276, 48668, 279841], [1, 0, -20, 0, 1782, 0, -16820, 0, 707281], [1, 8, 124, 680, 5830, 21080, 119164, 238328, 923521], [1, 0, -140, 0, 7638, 0, -191660, 0, 1874161], [1, 8, 164, 920, 10150, 37720, 275684, 551368, 2825761], [1, 0, -68, 0, 4266, 0, -125732, 0, 3418801], [1, -20, 332, -3260, 27274, -153220, 733388, -2076460, 4879681], [1, 0, -60, 0, 3446, 0, -168540, 0, 7890481], [1, 0, -180, 0, 14294, 0, -626580, 0, 12117361], [1, 0, -140, 0, 11574, 0, -520940, 0, 13845841], [1, 0, -100, 0, 10506, 0, -448900, 0, 20151121], [1, -8, 284, -1640, 30310, -116440, 1431644, -2863288, 25411681], [1, -16, 364, -3568, 42502, -260464, 1939756, -6224272, 28398241], [1, 32, 604, 8096, 83206, 639584, 3769564, 15777248, 38950081], [1, 0, -308, 0, 37386, 0, -2121812, 0, 47458321], [1, -8, 284, -1784, 36646, -158776, 2249564, -5639752, 62742241], [1, 16, 268, 3184, 41638, 308848, 2521612, 14602768, 88529281]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/40/2/d/a'], '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': '8-40e4-1.1-c1e4-0-0', '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': '8-40e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.5651562687302705, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 366285928194590470, 'z1': {'__RealLiteral__': 0, 'data': '1.98800828619583758752930483423', 'prec': 103}}
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{'Lhash': '2520099897254847176663038460061,3902262545979758743819801291321,4509584214152855069222528689349,5167048397702379446016375593779', 'Lhash_array': ['2520099897254847176663038460061', '3902262545979758743819801291321', '4509584214152855069222528689349', '5167048397702379446016375593779'], 'label': '8-40e4-1.1-c1e4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/40/2/d/a'}