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{'Lhash': '369065993712166664995196860146,623668705132360703522083636306,1478267467308024527155803510919,1952516766877842188987518921079', 'a10': 0, 'a2': -2, 'a3': -1, 'a4': 1, 'a5': 0, 'a6': 2, 'a7': -10, 'a8': 2, 'a9': 2, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3311.332938927514, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 2, 3, 2, 1]], [5, [1]], [19, [1, 10, 63, 190, 361]]], 'bad_primes': [2, 5, 19], 'central_character': '950.1', 'coefficient_field': '1.1.1.1', 'conductor': 814506250000, 'conductor_radical': 190, 'degree': 8, 'euler_factors': [[1, 2, 3, 2, 1], [1, 1, -1, -4, -8, -12, -9, 27, 81], [1], [1, 10, 57, 230, 704, 1610, 2793, 3430, 2401], [1, -4, 50, -136, 859, -1496, 6050, -5324, 14641], [1, 4, -14, 16, 523, 208, -2366, 8788, 28561], [1, -2, -14, 32, -33, 544, -4046, -9826, 83521], [1, 10, 63, 190, 361], [1, -3, -1, 108, -636, 2484, -529, -36501, 279841], [1, 4, -46, 16, 2539, 464, -38686, 97556, 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'prelabel': '8-950e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.7542309619967678, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e4-0', 'trace_hash': 1848898205530203020, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.29114173388607204644534243293', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.49198785928873035586696560899', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.16614741241938070408549416878', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 3311.332938927514, 'bad_primes': [2, 5, 19], 'central_character': '1.1', 'conductor': 814506250000, 'conductor_radical': 190, 'degree': 8, 'dirichlet_coefficients': [1, -2, -1, 1, 0, 2, -10, 2, 2, 0, 4, -1, -4, 20, 0, -4, 2, -4, -10, 0, 10, -8, 3, -2, 0, 8, 1, -10, -4, 0, 8, 2, -4, -4, 0, 2, -6, 20, 4, 0, 4, -20, -2, 4, 0, -6, 14, 4, 43, 0, -2, -4, -11, -2, 0, -20, 10, 8, -25, 0, -2, -16, -20, 3, 0, 8, 23, 2, -3, 0, -16, 4, 9, 12, 0, -10, -40, -8, 14, 0, 5, -8, 2, 10, 0, 4, 4, 8, -7, 0, 40, 3, -8, -28, 0, -2, -9, -86, 8, 0], 'euler11': [1, -4, 50, -136, 859, -1496, 6050, -5324, 14641], 'euler13': [1, 4, -14, 16, 523, 208, -2366, 8788, 28561], 'euler17': [1, -2, -14, 32, -33, 544, -4046, -9826, 83521], 'euler19': [1, 10, 63, 190, 361, 0, 0, 0, 0], 'euler2': [1, 2, 3, 2, 1, 0, 0, 0, 0], 'euler23': [1, -3, -1, 108, -636, 2484, -529, -36501, 279841], 'euler29': [1, 4, -46, 16, 2539, 464, -38686, 97556, 707281], 'euler3': [1, 1, -1, -4, -8, -12, -9, 27, 81], 'euler31': [1, -8, 12, -232, 2918, -7192, 11532, -238328, 923521], 'euler37': [1, 6, 85, 450, 4848, 16650, 116365, 303918, 1874161], 'euler41': [1, -4, -53, 52, 2424, 2132, -89093, -275684, 2825761], 'euler43': [1, 2, -66, -32, 2879, -1376, -122034, 159014, 3418801], 'euler47': [1, -14, 70, -448, 4455, -21056, 154630, -1453522, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 11, -11, 286, 8202, 15158, -30899, 1637647, 7890481], 'euler59': [1, 25, 355, 3800, 32544, 224200, 1235755, 5134475, 12117361], 'euler61': [1, 2, -102, -32, 7271, -1952, -379542, 453962, 13845841], 'euler67': [1, -23, 267, -2944, 28712, -197248, 1198563, -6917549, 20151121], 'euler7': [1, 10, 57, 230, 704, 1610, 2793, 3430, 2401], 'euler71': [1, 16, 118, -64, -4173, -4544, 594838, 5726576, 25411681], 'euler73': [1, -9, -47, 162, 5142, 11826, -250463, -3501153, 28398241], 'euler79': [1, -14, 6, -448, 14375, -35392, 37446, -6902546, 38950081], 'euler83': [1, -2, 121, -286, 17544, -23738, 833569, -1143574, 47458321], 'euler89': [1, 7, -103, -182, 10822, -16198, -815863, 4934783, 62742241], 'euler97': [1, 9, -95, -162, 13710, -15714, -893855, 8214057, 88529281], 'euler_factors': [[1, 2, 3, 2, 1, 0, 0, 0, 0], [1, 1, -1, -4, -8, -12, -9, 27, 81], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 10, 57, 230, 704, 1610, 2793, 3430, 2401], [1, -4, 50, -136, 859, -1496, 6050, -5324, 14641], [1, 4, -14, 16, 523, 208, -2366, 8788, 28561], [1, -2, -14, 32, -33, 544, -4046, -9826, 83521], [1, 10, 63, 190, 361, 0, 0, 0, 0], [1, -3, -1, 108, -636, 2484, -529, -36501, 279841], [1, 4, -46, 16, 2539, 464, -38686, 97556, 707281], [1, -8, 12, -232, 2918, -7192, 11532, -238328, 923521], [1, 6, 85, 450, 4848, 16650, 116365, 303918, 1874161], [1, -4, -53, 52, 2424, 2132, -89093, -275684, 2825761], [1, 2, -66, -32, 2879, -1376, -122034, 159014, 3418801], [1, -14, 70, -448, 4455, -21056, 154630, -1453522, 4879681], [1, 11, -11, 286, 8202, 15158, -30899, 1637647, 7890481], [1, 25, 355, 3800, 32544, 224200, 1235755, 5134475, 12117361], [1, 2, -102, -32, 7271, -1952, -379542, 453962, 13845841], [1, -23, 267, -2944, 28712, -197248, 1198563, -6917549, 20151121], [1, 16, 118, -64, -4173, -4544, 594838, 5726576, 25411681], [1, -9, -47, 162, 5142, 11826, -250463, -3501153, 28398241], [1, -14, 6, -448, 14375, -35392, 37446, -6902546, 38950081], [1, -2, 121, -286, 17544, -23738, 833569, -1143574, 47458321], [1, 7, -103, -182, 10822, -16198, -815863, 4934783, 62742241], [1, 9, -95, -162, 13710, -15714, -893855, 8214057, 88529281]], 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/950/2/e/h'], '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': '8-950e4-1.1-c1e4-0-4', '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': '8-950e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.7542309619967678, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1848898205530203020, 'z1': {'__RealLiteral__': 0, 'data': '0.29114173388607204644534243293', 'prec': 103}}
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{'Lhash': '369065993712166664995196860146,623668705132360703522083636306,1478267467308024527155803510919,1952516766877842188987518921079', 'Lhash_array': ['369065993712166664995196860146', '623668705132360703522083636306', '1478267467308024527155803510919', '1952516766877842188987518921079'], 'label': '8-950e4-1.1-c1e4-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/950/2/e/h'}