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        {'Lhash': '800673084928397518088737739105,1299478005263854555258409157888,2675736863506345890741001985942,2696147656507017807008020088873', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': -2, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 88.3961449795321, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, 0, 2, 0, 1]]], 'bad_primes': [2, 3], 'central_character': '384.1', 'coefficient_field': '1.1.1.1', 'conductor': 21743271936, 'conductor_radical': 6, 'degree': 8, 'euler_factors': [[1], [1, 0, 2, 0, 1], [1, 0, -4, 0, 54, 0, -100, 0, 625], [1, 0, 12, 0, 134, 0, 588, 0, 2401], [1, 0, -12, 0, 278, 0, -1452, 0, 14641], [1, 0, 12, 0, 374, 0, 2028, 0, 28561], [1, 8, 92, 440, 2566, 7480, 26588, 39304, 83521], [1, 0, -44, 0, 1206, 0, -15884, 0, 130321], [1, 0, 28, 0, 1254, 0, 14812, 0, 279841], [1, 0, -100, 0, 4182, 0, -84100, 0, 707281], [1, 0, -20, 0, 2022, 0, -19220, 0, 923521], 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'11.33361748402886339195337101211252', '11.39651086857171981447994480627108'], 'prelabel': '8-384e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.7510726534376488, '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': 1675035525683060404, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.63161969456271573036383893493', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.02510739554723904828571736839', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.11078420427884692762323138139', 'prec': 103}}
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        {'algebraic': True, 'analytic_conductor': 88.3961449795321, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 21743271936, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0], 'euler11': [1, 0, -12, 0, 278, 0, -1452, 0, 14641], 'euler13': [1, 0, 12, 0, 374, 0, 2028, 0, 28561], 'euler17': [1, 8, 92, 440, 2566, 7480, 26588, 39304, 83521], 'euler19': [1, 0, -44, 0, 1206, 0, -15884, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, 28, 0, 1254, 0, 14812, 0, 279841], 'euler29': [1, 0, -100, 0, 4182, 0, -84100, 0, 707281], 'euler3': [1, 0, 2, 0, 1, 0, 0, 0, 0], 'euler31': [1, 0, -20, 0, 2022, 0, -19220, 0, 923521], 'euler37': [1, 0, -148, 0, 8214, 0, -202612, 0, 1874161], 'euler41': [1, -40, 764, -8920, 69286, -365720, 1284284, -2756840, 2825761], 'euler43': [1, 0, 116, 0, 7062, 0, 214484, 0, 3418801], 'euler47': [1, 0, 124, 0, 8262, 0, 273916, 0, 4879681], 'euler5': [1, 0, -4, 0, 54, 0, -100, 0, 625], 'euler53': [1, 0, -196, 0, 15222, 0, -550564, 0, 7890481], 'euler59': [1, 0, -204, 0, 17366, 0, -710124, 0, 12117361], 'euler61': [1, 0, 12, 0, 7478, 0, 44652, 0, 13845841], 'euler67': [1, 0, -236, 0, 22902, 0, -1059404, 0, 20151121], 'euler7': [1, 0, 12, 0, 134, 0, 588, 0, 2401], 'euler71': [1, 0, 220, 0, 22182, 0, 1109020, 0, 25411681], 'euler73': [1, 8, 316, 1784, 35494, 130232, 1683964, 3112136, 28398241], 'euler79': [1, 0, 172, 0, 19878, 0, 1073452, 0, 38950081], 'euler83': [1, 0, -300, 0, 36278, 0, -2066700, 0, 47458321], 'euler89': [1, -24, 572, -7272, 87270, -647208, 4530812, -16919256, 62742241], 'euler97': [1, -56, 1564, -27272, 323014, -2645384, 14715676, -51109688, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 2, 0, 1, 0, 0, 0, 0], [1, 0, -4, 0, 54, 0, -100, 0, 625], [1, 0, 12, 0, 134, 0, 588, 0, 2401], [1, 0, -12, 0, 278, 0, -1452, 0, 14641], [1, 0, 12, 0, 374, 0, 2028, 0, 28561], [1, 8, 92, 440, 2566, 7480, 26588, 39304, 83521], [1, 0, -44, 0, 1206, 0, -15884, 0, 130321], [1, 0, 28, 0, 1254, 0, 14812, 0, 279841], [1, 0, -100, 0, 4182, 0, -84100, 0, 707281], [1, 0, -20, 0, 2022, 0, -19220, 0, 923521], [1, 0, -148, 0, 8214, 0, -202612, 0, 1874161], [1, -40, 764, -8920, 69286, -365720, 1284284, -2756840, 2825761], [1, 0, 116, 0, 7062, 0, 214484, 0, 3418801], [1, 0, 124, 0, 8262, 0, 273916, 0, 4879681], [1, 0, -196, 0, 15222, 0, -550564, 0, 7890481], [1, 0, -204, 0, 17366, 0, -710124, 0, 12117361], [1, 0, 12, 0, 7478, 0, 44652, 0, 13845841], [1, 0, -236, 0, 22902, 0, -1059404, 0, 20151121], [1, 0, 220, 0, 22182, 0, 1109020, 0, 25411681], [1, 8, 316, 1784, 35494, 130232, 1683964, 3112136, 28398241], [1, 0, 172, 0, 19878, 0, 1073452, 0, 38950081], [1, 0, -300, 0, 36278, 0, -2066700, 0, 47458321], [1, -24, 572, -7272, 87270, -647208, 4530812, -16919256, 62742241], [1, -56, 1564, -27272, 323014, -2645384, 14715676, -51109688, 88529281]], 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/384/2/d/c'], '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': '8-384e4-1.1-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': '8-384e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.7510726534376488, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1675035525683060404, 'z1': {'__RealLiteral__': 0, 'data': '0.63161969456271573036383893493', 'prec': 103}}
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              lfunc_instances •   Show schema
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        {'Lhash': '800673084928397518088737739105,1299478005263854555258409157888,2675736863506345890741001985942,2696147656507017807008020088873', 'Lhash_array': ['800673084928397518088737739105', '1299478005263854555258409157888', '2675736863506345890741001985942', '2696147656507017807008020088873'], 'factors': ['2-384-8.5-c1-0-1', '2-384-8.5-c1-0-2', '2-384-8.5-c1-0-5', '2-384-8.5-c1-0-6'], 'label': '8-384e4-1.1-c1e4-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/384/2/d/c'}