{'Lhash': '1783647005212091838962359936412', 'a10': 0, 'a2': 0, 'a3': -1, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 2, 'a8': 0, 'a9': 1, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 76.6563859404292, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, 1]], [5, [1]]], 'bad_primes': [2, 3, 5], 'central_character': '9600.1', 'coefficient_field': '1.1.1.1', 'conductor': 9600, 'conductor_radical': 30, 'degree': 2, 'euler_factors': [[1], [1, 1], [1], [1, -2, 7], [1, -6, 11], [1, 2, 13], [1, -2, 17], [1, -2, 19], [1, 6, 23], [1, 10, 29], [1, 4, 31], [1, -2, 37], [1, -6, 41], [1, 0, 43], [1, 6, 47], [1, 10, 53], [1, 6, 59], [1, 6, 61], [1, 16, 67], [1, -8, 71], [1, 10, 73], [1, 0, 79], [1, 12, 83], [1, -6, 89], [1, 10, 97], [1, 10, 101], [1, 10, 103], [1, -4, 107], [1, 6, 109], [1, -18, 113]], 'euler_factors_factorization': [[1], [[[1, 1], 1]], [1], [[[1, -2, 7], 1]], [[[1, -6, 11], 1]], [[[1, 2, 13], 1]], [[[1, -2, 17], 1]], [[[1, -2, 19], 1]], [[[1, 6, 23], 1]], [[[1, 10, 29], 1]], [[[1, 4, 31], 1]], [[[1, -2, 37], 1]], [[[1, -6, 41], 1]], [[[1, 0, 43], 1]], [[[1, 6, 47], 1]], [[[1, 10, 53], 1]], [[[1, 6, 59], 1]], [[[1, 6, 61], 1]], [[[1, 16, 67], 1]], [[[1, -8, 71], 1]], [[[1, 10, 73], 1]], [[[1, 0, 79], 1]], [[[1, 12, 83], 1]], [[[1, -6, 89], 1]], [[[1, 10, 97], 1]], [[[1, 10, 101], 1]], [[[1, 10, 103], 1]], [[[1, -4, 107], 1]], [[[1, 6, 109], 1]], [[[1, -18, 113], 1]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 22723165, 'index': 136, 'label': '2-9600-1.1-c1-0-136', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'origin': 'ModularForm/GL2/Q/holomorphic/9600/2/a/x', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.046875', 'prec': 27}, 'plot_values': [-6.514719119010883e-61, 0.20282556567717966, 0.4041695726968588, 0.6025157326805934, 0.7962818670443307, 0.9837956128005992, 1.1632797806438473, 1.332849460923995, 1.4905221771311883, 1.634241559513616, 1.7619142175236193, 1.8714587756256618, 1.9608654299631658, 2.028263893720037, 2.071997224569308, 2.090698759229194, 2.0833692064926255, 2.0494508610035234, 1.9888958884073145, 1.9022256947205547, 1.7905785283026363, 1.6557426731095868, 1.5001728790905982, 1.326988041178623, 1.1399485821289757, 0.9434125136597913, 0.7422697388853907, 0.5418548072366546, 0.3478390275318421, 0.16610356858306946, 0.0025959093937271585, -0.1368272804601333, -0.24656707044049314, -0.32145463534198404, -0.3569241639810602, -0.34918101354477027, -0.2953595531654584, -0.1936650446079085, -0.04349399353067413, 0.1544723162177164, 0.39820591420421736, 0.6843059922221201, 1.0080117728422937, 1.3632566158775095, 1.7427643842238085, 2.138187772198705, 2.5402868971377495, 2.939145012299468, 3.3244167645842944, 3.685603046108388, 4.012345227872796, 4.29473046996543, 4.523598926942652, 4.690843055818361, 4.789688927417985, 4.814949471097448, 4.7632399688931635, 4.633146866950724, 4.425342085249083, 4.142636462884693, 3.789967742958206, 3.3743205319244582, 2.9045779035684656, 2.3913066864006707, 1.8464808945056086, 1.2831501480128678, 0.7150621886956958, 0.1562506364621386, -0.3793991355405044, -0.8785917882553276, -1.329056368913079, -1.7199577723730888, -2.042270058790931, -2.2890971594797853, -2.455927868101561, -2.5408139358579604, -2.5444625193646337, -2.4702370977513985, -2.3240641893726184, -2.114246647832549, -1.851187876225701, -1.5470348312274804, -1.215251052959493, -0.8701340103652137, -0.5262936590104065, -0.1981111444926116, 0.10080205656766758, 0.3581236681603062, 0.563298148211449, 0.7079526124237325, 0.7862334282271543, 0.7950484350483763, 0.7342031292956385, 0.6064231266667258, 0.4172596370854215, 0.1748793900502666, -0.11025475729601962, -0.4258016099697516, -0.7580425267894716, -1.0924462495748326, -1.4142753295884596, -1.709209488192133, -1.9639599095139753, -2.166848199561329, -2.308324607257924, -2.381402089233254, -2.381985863008755, -2.3090821340514207, -2.1648745553002797, -1.9546624949072529, -1.6866611249438979, -1.371669449487223, -1.0226183968431275, -0.6540167345475154, -0.28131756117618134, 0.07976776051773143, 0.4139783537262315, 0.7072036460873764, 0.9471422930092758, 1.1238893437544917, 1.2304233342191593, 1.2629689079700106, 1.2212157171843814, 1.1083805362647614, 0.9311064766216814, 0.6992006200375421, 0.42521895641826657, 0.12391486823239721, -0.18842580442380452, -0.4947341951620032, -0.7779587354942208, -1.0218795544130703, -1.211898585034359, -1.3357672452338287, -1.3842156217569461, -1.3514509316027539, -1.235498527600732, -1.038365640044545, -0.7660161097752068, -0.42815321244125404, -0.037816891832178734, 0.3891891256701204, 0.8350162215905345, 1.2806039741507358, 1.7065892987338565, 2.0942488555060312, 2.426429279703894, 2.68841929444607, 2.8687195193601314, 2.959669766492252, 2.9578996821881836, 2.8645765061242803, 2.6854331333995054, 2.430570154432471, 2.114036615993638, 1.7532053573711996, 1.3679693732572769, 0.9797951943523058, 0.610677250822569, 0.282043150397872, 0.013663409163404635, -0.17737982398711702, -0.2776122261227783, -0.2779265399722785, -0.1741401600111926, 0.032681145064910065, 0.33615451544338876, 0.7247750378061754, 1.182370168373262, 1.6887959820689997, 2.220845099237096, 2.7533248123249936, 3.2602544770101676, 3.7161241745937295, 4.097152413102286, 4.382479495365881, 4.555235271037347, 4.60342526879468, 4.520587470323129, 4.306182873912593, 3.965695991931519, 3.510435900162489, 2.9570436833464986, 2.326727319948264, 1.6442594241225659, 0.9367860443377187, 0.23250520405465694, -0.44071853505506153, -1.0567329570292738, -1.5923993737148086, -2.0287480670898748, -2.351926695949807, -2.5538904497440704, -2.6327956686042944, -2.5930738009945533, -2.4451791661851496, -2.2050211629366503, -1.8931084062359846, -1.5334478699414713, -1.152255605128831, -0.7765462311517926, -0.43267554086284304, -0.14491378421643591, 0.06587373649860533, 0.1833672198882215, 0.19669156335935653, 0.10102424093838619, -0.10212270178129777, -0.40496364153434833, -0.7938418889095513, -1.2499535597337723, -1.7503548850589747, -2.2691991946474492, -2.7791367887990073, -3.2528014765236852, -3.6643022738881883, -3.990637969032105, -4.212956065554872, -4.3175858514055205, -4.296787590745784, -4.149175452710644, -3.8797899245417495, -3.4998151033143965, -3.0259563166887915, -2.479512847044355, -1.885198010353246, -1.2697734483852439, -0.6605753598557379, -0.08401685764556004, 0.4358477230862701, 0.8786140704249193, 1.2286003513175523, 1.4756390801739794, 1.615542853289727, 1.650217438117594, 1.5874164357488634, 1.4401529503507269, 1.2258041492344274, 0.9649630592341242, 0.6801072987528334, 0.3941657400587473, 0.1290706126420747, -0.09561614868570666, -0.2639175749748622, -0.3644218629155652, -0.39096653806914167, -0.3429828354466478, -0.22547723040586898, -0.048649370214536636, 0.17283172691038218, 0.42084980041999986, 0.6750992720018621, 0.9145009251666175, 1.1186864117152453, 1.2694571295427697, 1.3521232701697006, 1.3566349437532486], 'positive_zeros': ['1.40704939112635752986610876795547', '1.79257246735232709799363831165952', '3.15403930439004724341196027839924', '4.01479343359877635382137143740819', '4.48257256210332541274860588392186', '5.38003376477027826305941448413476', '5.97177849751939319800915132924525', '6.56679046914786382102179396707367', '7.50278501731735086893323428055963'], 'prelabel': '2-9600-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 8.755363267188244, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'trace_hash': 890071152356972385, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.40704939112635752986610876796', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.79257246735232709799363831166', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.15403930439004724341196027840', 'prec': 103}}
