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{'Lhash': '1020907247293482714572755331706,1629490285607827433266789329496,1780374080111849258123368487224,2295037080046634300688301474960', 'a10': 0, 'a2': 0, 'a3': 2, 'a4': 0, 'a5': 1, 'a6': 0, 'a7': -1, 'a8': 0, 'a9': -1, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 555.5494796430171, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [19, [1, -4, 6, -4, 1]]], 'bad_primes': [2, 19], 'central_character': '608.1', 'coefficient_field': '1.1.1.1', 'conductor': 136651472896, 'conductor_radical': 38, 'degree': 8, 'euler_factors': [[1], [1, -2, 5, -10, 28, -30, 45, -54, 81], [1, -1, 2, 9, 2, 45, 50, -125, 625], [1, 1, 11, 40, 60, 280, 539, 343, 2401], [1, -7, 44, -203, 742, -2233, 5324, -9317, 14641], [1, -10, 59, -232, 852, -3016, 9971, -21970, 28561], [1, -5, 17, -114, 698, -1938, 4913, -24565, 83521], [1, -4, 6, -4, 1], [1, 8, 75, 420, 2456, 9660, 39675, 97336, 279841], [1, -10, 123, -712, 5108, -20648, 103443, -243890, 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{'algebraic': True, 'analytic_conductor': 555.5494796430171, 'bad_primes': [2, 19], 'central_character': '1.1', 'conductor': 136651472896, 'conductor_radical': 38, 'degree': 8, 'dirichlet_coefficients': [1, 0, 2, 0, 1, 0, -1, 0, -1, 0, 7, 0, 10, 0, 2, 0, 5, 0, 4, 0, -2, 0, -8, 0, -1, 0, -2, 0, 10, 0, -6, 0, 14, 0, -1, 0, 14, 0, 20, 0, -2, 0, 3, 0, -1, 0, -3, 0, -10, 0, 10, 0, 4, 0, 7, 0, 8, 0, 20, 0, -3, 0, 1, 0, 10, 0, 8, 0, -16, 0, -30, 0, 9, 0, -2, 0, -7, 0, 10, 0, -7, 0, 4, 0, 5, 0, 20, 0, -16, 0, -10, 0, -12, 0, 4, 0, -6, 0, -7, 0], 'euler11': [1, -7, 44, -203, 742, -2233, 5324, -9317, 14641], 'euler13': [1, -10, 59, -232, 852, -3016, 9971, -21970, 28561], 'euler17': [1, -5, 17, -114, 698, -1938, 4913, -24565, 83521], 'euler19': [1, -4, 6, -4, 1, 0, 0, 0, 0], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 8, 75, 420, 2456, 9660, 39675, 97336, 279841], 'euler29': [1, -10, 123, -712, 5108, -20648, 103443, -243890, 707281], 'euler3': [1, -2, 5, -10, 28, -30, 45, -54, 81], 'euler31': [1, 6, 68, 142, 1782, 4402, 65348, 178746, 923521], 'euler37': [1, -14, 152, -1018, 7006, -37666, 208088, -709142, 1874161], 'euler41': [1, 2, 92, 54, 4694, 2214, 154652, 137842, 2825761], 'euler43': [1, -3, 140, -291, 8278, -12513, 258860, -238521, 3418801], 'euler47': [1, 3, 80, 247, 3038, 11609, 176720, 311469, 4879681], 'euler5': [1, -1, 2, 9, 2, 45, 50, -125, 625], 'euler53': [1, -4, 143, -252, 9032, -13356, 401687, -595508, 7890481], 'euler59': [1, -20, 321, -3390, 30764, -200010, 1117401, -4107580, 12117361], 'euler61': [1, 3, 178, 521, 14618, 31781, 662338, 680943, 13845841], 'euler67': [1, -8, 193, -1006, 16060, -67402, 866377, -2406104, 20151121], 'euler7': [1, 1, 11, 40, 60, 280, 539, 343, 2401], 'euler71': [1, 30, 552, 6814, 65870, 483794, 2782632, 10737330, 25411681], 'euler73': [1, -9, 245, -1662, 25114, -121326, 1305605, -3501153, 28398241], 'euler79': [1, -10, 216, -1082, 18510, -85478, 1348056, -4930390, 38950081], 'euler83': [1, -4, 216, -212, 21054, -17596, 1488024, -2287148, 47458321], 'euler89': [1, 16, 152, 224, -4082, 19936, 1203992, 11279504, 62742241], 'euler97': [1, 6, 328, 1658, 45422, 160826, 3086152, 5476038, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 5, -10, 28, -30, 45, -54, 81], [1, -1, 2, 9, 2, 45, 50, -125, 625], [1, 1, 11, 40, 60, 280, 539, 343, 2401], [1, -7, 44, -203, 742, -2233, 5324, -9317, 14641], [1, -10, 59, -232, 852, -3016, 9971, -21970, 28561], [1, -5, 17, -114, 698, -1938, 4913, -24565, 83521], [1, -4, 6, -4, 1, 0, 0, 0, 0], [1, 8, 75, 420, 2456, 9660, 39675, 97336, 279841], [1, -10, 123, -712, 5108, -20648, 103443, -243890, 707281], [1, 6, 68, 142, 1782, 4402, 65348, 178746, 923521], [1, -14, 152, -1018, 7006, -37666, 208088, -709142, 1874161], [1, 2, 92, 54, 4694, 2214, 154652, 137842, 2825761], [1, -3, 140, -291, 8278, -12513, 258860, -238521, 3418801], [1, 3, 80, 247, 3038, 11609, 176720, 311469, 4879681], [1, -4, 143, -252, 9032, -13356, 401687, -595508, 7890481], [1, -20, 321, -3390, 30764, -200010, 1117401, -4107580, 12117361], [1, 3, 178, 521, 14618, 31781, 662338, 680943, 13845841], [1, -8, 193, -1006, 16060, -67402, 866377, -2406104, 20151121], [1, 30, 552, 6814, 65870, 483794, 2782632, 10737330, 25411681], [1, -9, 245, -1662, 25114, -121326, 1305605, -3501153, 28398241], [1, -10, 216, -1082, 18510, -85478, 1348056, -4930390, 38950081], [1, -4, 216, -212, 21054, -17596, 1488024, -2287148, 47458321], [1, 16, 152, 224, -4082, 19936, 1203992, 11279504, 62742241], [1, 6, 328, 1658, 45422, 160826, 3086152, 5476038, 88529281]], 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/608/2/a/j'], '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': '8-608e4-1.1-c1e4-0-3', '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': '8-608e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.203384769597414, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1346857136567558313, 'z1': {'__RealLiteral__': 0, 'data': '0.805353815246628128701971115012', 'prec': 107}}
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{'Lhash': '1020907247293482714572755331706,1629490285607827433266789329496,1780374080111849258123368487224,2295037080046634300688301474960', 'Lhash_array': ['1020907247293482714572755331706', '1629490285607827433266789329496', '1780374080111849258123368487224', '2295037080046634300688301474960'], 'factors': ['2-608-1.1-c1-0-1', '2-608-1.1-c1-0-4', '2-608-1.1-c1-0-5', '2-608-1.1-c1-0-12'], 'label': '8-608e4-1.1-c1e4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/608/2/a/j'}