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{'Lhash': '648482164982561409565701190557,1113719128027843216404074354050,1650431640063600461162685395586,2693222329693791027894239826517', 'a10': 0, 'a2': -2, 'a3': -2, 'a4': 3, 'a5': 0, 'a6': 4, 'a7': 0, 'a8': -2, 'a9': 1, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 268.6211879468495, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1, 2, 3, 2, 1]], [13, [1]]], 'bad_primes': [3, 13], 'central_character': '507.1', 'coefficient_field': '1.1.1.1', 'conductor': 66074188401, 'conductor_radical': 39, 'degree': 8, 'euler_factors': [[1, 2, 1, -2, -3, -4, 4, 16, 16], [1, 2, 3, 2, 1], [1, 0, 4, 0, 54, 0, 100, 0, 625], [1, 0, -6, 0, -13, 0, -294, 0, 2401], [1, 4, -10, 16, 379, 176, -1210, 5324, 14641], [1], [1, 4, 10, -112, -525, -1904, 2890, 19652, 83521], [1, 0, -30, 0, 539, 0, -10830, 0, 130321], [1, -8, 2, -128, 1843, -2944, 1058, -97336, 279841], [1, 4, -46, 16, 2539, 464, -38686, 97556, 707281], [1, -16, 204, -1616, 10790, 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'root_analytic_conductor': 2.0120674398436345, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e4-0', 'trace_hash': 1403787095968398548, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.51156222768782491682817702019', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.878569479498000340097638638849', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '1.30196099758597099383030985737', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 268.6211879468495, 'bad_primes': [3, 13], 'central_character': '1.1', 'conductor': 66074188401, 'conductor_radical': 39, 'degree': 8, 'dirichlet_coefficients': [1, -2, -2, 3, 0, 4, 0, -2, 1, 0, -4, -6, 0, 0, 0, 0, -4, -2, 0, 0, 0, 8, 8, 4, -4, 0, 2, 0, -4, 0, 16, 6, 8, 8, 0, 3, -4, 0, 0, 0, 16, 0, -8, -12, 0, -16, 24, 0, 6, 8, 8, 0, -8, -4, 0, 0, 0, 8, 4, 0, -4, -32, 0, -19, 0, -16, 8, -12, -16, 0, 4, -2, -24, 8, 8, 0, 0, 0, 0, 0, -4, -32, 8, 0, 0, 16, 8, 8, 24, 0, 0, 24, -32, -48, 0, -12, -4, -12, -4, -12], 'euler11': [1, 4, -10, 16, 379, 176, -1210, 5324, 14641], 'euler13': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler17': [1, 4, 10, -112, -525, -1904, 2890, 19652, 83521], 'euler19': [1, 0, -30, 0, 539, 0, -10830, 0, 130321], 'euler2': [1, 2, 1, -2, -3, -4, 4, 16, 16], 'euler23': [1, -8, 2, -128, 1843, -2944, 1058, -97336, 279841], 'euler29': [1, 4, -46, 16, 2539, 464, -38686, 97556, 707281], 'euler3': [1, 2, 3, 2, 1, 0, 0, 0, 0], 'euler31': [1, -16, 204, -1616, 10790, -50096, 196044, -476656, 923521], 'euler37': [1, 4, -30, -112, 155, -4144, -41070, 202612, 1874161], 'euler41': [1, -16, 118, -896, 6867, -36736, 198358, -1102736, 2825761], 'euler43': [1, 8, -6, -128, 299, -5504, -11094, 636056, 3418801], 'euler47': [1, -24, 340, -3480, 27558, -163560, 751060, -2491752, 4879681], 'euler5': [1, 0, 4, 0, 54, 0, 100, 0, 625], 'euler53': [1, 8, 236, 1304, 19414, 69112, 662924, 1191016, 7890481], 'euler59': [1, -4, -74, 112, 3675, 6608, -257594, -821516, 12117361], 'euler61': [1, 4, 18, -496, -4693, -30256, 66978, 907924, 13845841], 'euler67': [1, -8, -78, -64, 11387, -4288, -350142, -2406104, 20151121], 'euler7': [1, 0, -6, 0, -13, 0, -294, 0, 2401], 'euler71': [1, -4, -130, -16, 15139, -1136, -655330, -1431644, 25411681], 'euler73': [1, 24, 444, 5352, 54182, 390696, 2366076, 9336408, 28398241], 'euler79': [1, 0, 60, 0, 13382, 0, 374460, 0, 38950081], 'euler83': [1, -8, 292, -1768, 35478, -146744, 2011588, -4574296, 47458321], 'euler89': [1, -24, 262, -3264, 39411, -290496, 2075302, -16919256, 62742241], 'euler97': [1, 4, -150, -112, 16595, -10864, -1411350, 3650692, 88529281], 'euler_factors': [[1, 2, 1, -2, -3, -4, 4, 16, 16], [1, 2, 3, 2, 1, 0, 0, 0, 0], [1, 0, 4, 0, 54, 0, 100, 0, 625], [1, 0, -6, 0, -13, 0, -294, 0, 2401], [1, 4, -10, 16, 379, 176, -1210, 5324, 14641], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 4, 10, -112, -525, -1904, 2890, 19652, 83521], [1, 0, -30, 0, 539, 0, -10830, 0, 130321], [1, -8, 2, -128, 1843, -2944, 1058, -97336, 279841], [1, 4, -46, 16, 2539, 464, -38686, 97556, 707281], [1, -16, 204, -1616, 10790, -50096, 196044, -476656, 923521], [1, 4, -30, -112, 155, -4144, -41070, 202612, 1874161], [1, -16, 118, -896, 6867, -36736, 198358, -1102736, 2825761], [1, 8, -6, -128, 299, -5504, -11094, 636056, 3418801], [1, -24, 340, -3480, 27558, -163560, 751060, -2491752, 4879681], [1, 8, 236, 1304, 19414, 69112, 662924, 1191016, 7890481], [1, -4, -74, 112, 3675, 6608, -257594, -821516, 12117361], [1, 4, 18, -496, -4693, -30256, 66978, 907924, 13845841], [1, -8, -78, -64, 11387, -4288, -350142, -2406104, 20151121], [1, -4, -130, -16, 15139, -1136, -655330, -1431644, 25411681], [1, 24, 444, 5352, 54182, 390696, 2366076, 9336408, 28398241], [1, 0, 60, 0, 13382, 0, 374460, 0, 38950081], [1, -8, 292, -1768, 35478, -146744, 2011588, -4574296, 47458321], [1, -24, 262, -3264, 39411, -290496, 2075302, -16919256, 62742241], [1, 4, -150, -112, 16595, -10864, -1411350, 3650692, 88529281]], 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/507/2/e/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': '8-507e4-1.1-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': '8-507e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.0120674398436345, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1403787095968398548, 'z1': {'__RealLiteral__': 0, 'data': '0.51156222768782491682817702019', 'prec': 103}}
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{'Lhash': '648482164982561409565701190557,1113719128027843216404074354050,1650431640063600461162685395586,2693222329693791027894239826517', 'Lhash_array': ['648482164982561409565701190557', '1113719128027843216404074354050', '1650431640063600461162685395586', '2693222329693791027894239826517'], 'label': '8-507e4-1.1-c1e4-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/507/2/e/d'}