{'Lhash': '340269081223111868314722727366', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-1.8161602025381944, 0], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0, 4.155381511600961], 'a8': [0, 0], 'a9': [-5.701562118716424, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 29.972829079632664, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [2.2984378812835757, 10.757192166447556]]]], 'bad_primes': [2, 5, 11], 'central_character': '1100.901', 'coefficient_field': 'CDF', 'conductor': 1100, 'conductor_radical': 110, 'conjugate': '1338957256399049911070749003122', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.8161602025381944, 0], [9.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -4.155381511600961], [-49.0, 0]], [[1.0, 0], [2.2984378812835757, 10.757192166447556]], [[1.0, 0], [0, 23.692165815358635], [-169.0, 0]], [[1.0, 0], [0, -4.155381511600961], [-289.0, 0]], [[1.0, 0], [0, -29.061222860627783], [-361.0, 0]], [[1.0, 0], [-24.342220829700626, 0], [529.0, 0]], [[1.0, 0], [0, -13.967545805162443], [-841.0, 0]], [[1.0, 0], [-9.507810593582121, 0], [961.0, 0]], [[1.0, 0], [46.86828145686306, 0], [1369.0, 0]], [[1.0, 0], [0, -58.122445721255566], [-1681.0, 0]], [[1.0, 0], [0, 62.76573442287398], [-1849.0, 0]], [[1.0, 0], [-18.161602025381946, 0], [2209.0, 0]], [[1.0, 0], [62.86183947057681, 0], [2809.0, 0]], [[1.0, 0], [60.8062484748657, 0], [3481.0, 0]], [[1.0, 0], [0, -72.089991526418], [-3721.0, 0]], [[1.0, 0], [62.67171227678976, 0], [4489.0, 0]], [[1.0, 0], [113.151549917642, 0], [5041.0, 0]], [[1.0, 0], [0, -126.77159209999509], [-5329.0, 0]], [[1.0, 0], [0, -70.96386027611511], [-6241.0, 0]], [[1.0, 0], [0, -87.69802349247975], [-6889.0, 0]], [[1.0, 0], [-26.13592873047776, 0], [7921.0, 0]], [[1.0, 0], [-105.01377851652938, 0], [9409.0, 0]], [[1.0, 0], [0, -64.54315299868534], [-10201.0, 0]], [[1.0, 0], [-71.23887286500778, 0], [10609.0, 0]], [[1.0, 0], [0, 48.6244548849644], [-11449.0, 0]], [[1.0, 0], [0, -150.6006903302658], [-11881.0, 0]], [[1.0, 0], [-160.5826065985093, 0], [12769.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 23182551, 'index': 5, 'label': '2-1100-11.10-c2-0-5', 'leading_term': '0.7031161246626675480732959101462877789944012839721241102', 'load_key': 'CMFs-workshop', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/1100/3/f/d/901/4', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [0.7031161246626676, 0.567110467588919, 0.4200662628558612, 0.26343734715591055, 0.09875739492366341, -0.07234277495068156, -0.24811845886827574, -0.42669657077924367, -0.6060649877061399, -0.7840671937881989, -0.9584034738865868, -1.1266396576698599, -1.2862241316950143, -1.4345135316805862, -1.5688072095005496, -1.686390247125545, -1.7845844689901988, -1.8608065902816915, -1.912632336265785, -1.9378650820108128, -1.934607298336353, -1.901332854895745, -1.8369580322134074, -1.7409089391196508, -1.6131829286105457, -1.4544015619324264, -1.265852695372882, -1.049519363546606, -0.8080933120868131, -0.5449712947679406, -0.26423259590887677, 0.029403333686603438, 0.33063973526136753, 0.6336859316342999, 0.932360656986398, 1.2202140683996574, 1.4906664907887797, 1.7371612560782552, 1.9533283291756105, 2.1331547925012146, 2.2711577134110446, 2.3625544705818147, 2.4034252910595653, 2.390862571850646, 2.3231015481412975, 2.199627039733527, 2.021251368133101, 1.7901590928728024, 1.509914964219884, 1.1854324201520863, 0.82290105048141, 0.4296726846701267, 0.01410709923992159, -0.41462025403704067, -0.8467446723576101, -1.27216755594211, -1.6807341566332206, -2.062526010487672, -2.4081593595666826, -2.7090801254554555, -2.957845541216077, -3.148382417289697, -3.2762122384917247, -3.3386338803572952, -3.334855697266514, -3.2660700613078224, -3.135465094059282, -2.9481702926344986, -2.7111349511171126, -2.432940650115975, -2.1235515501852626, -1.7940086896215226, -1.4560768578062224, -1.1218547932188903, -0.8033613430699938, -0.5121117270399773, -0.25869908819106835, -0.05239702066701746, 0.09920131533456185, 0.19049257650152848, 0.21810752201438913, 0.18107853203763527, 0.08092117634922893, -0.07837637146681713, -0.2904589047992649, -0.546803917977091, -0.8370108873309028, -1.1491716972106925, -1.4703101896527517, -1.7868755246554624, -2.085271229359962, -2.3523996324238197, -2.5761999490279193, -2.746157701060796, -2.853763493269145, -2.892900450297148, -2.8601418423844263, -2.754943538062554, -2.579719827579835, -2.339795727986359, -2.043233940471217, -1.700539982608257, -1.324254439283908, -0.9284465285086942, -0.528128020015526, -0.13861074006437296, 0.2251657724857405, 0.5493076149410742, 0.8216109543602946, 1.0321478544513822, 1.1737653840453923, 1.2424728128913816, 1.237695879445903, 1.162382417236959, 1.022949853990074, 0.8290720013596665, 0.5933098400575437, 0.33059835139134314, 0.05760851038869179, -0.20799000534211404, -0.44833435161930496, -0.646207025103558, -0.7858693363282218, -0.8538508012831473, -0.8396561704250489, -0.7363544210540972, -0.5410184335633461, -0.25499011163972085, 0.11604683723521565, 0.562195678331102, 1.0696768975674242, 1.621350219648906, 2.1974092240582768, 2.7762205268114144, 3.335271703096185, 3.852185820174203, 4.3057559935407665, 4.67695105625885, 4.949843429697823, 5.112412682495478, 5.1571830247519825, 5.081659947369054, 4.888540106365593, 4.58567898598249, 4.185812377740017, 3.706039739785085, 3.1670894608868254, 2.592397338712522, 2.00703959915619, 1.436569984624313, 0.9058163520829732, 0.4376954770909693, 0.052105114659963286, -0.23505027864953398, -0.4126493514169064, -0.4749167164876291, -0.42172710025377874, -0.25863161955043107, 0.0033990998835859627, 0.3485057906121362, 0.7567219279853243, 1.2049687894132766, 1.6682156241266801, 2.1207469624946143, 2.5374725596320435, 2.895212223774405, 3.173888077221884, 3.357560702985679, 3.435253015743977, 3.4015162404038812, 3.256705583398148, 3.0069483799968615, 2.6638039077422846, 2.2436307972044056, 1.766694131590052, 1.2560590006198118, 0.7363296160882162, 0.23230237064226567, -0.23239315453903708, -0.6365896443558429, -0.9627410083821447, -1.1978786676390272, -1.3343096295136838, -1.3700147746244231, -1.30872234359742, -1.1596498823113375, -0.936926868109687, -0.6587288198463114, -0.3461708112611839, -0.02202293930123172, 0.29067845384190033, 0.5700428684269817, 0.7966775810480956, 0.9548982881175735, 1.0337244671262271, 1.027597105891095, 0.9367719958296153, 0.7673603966054646, 0.5310095164908953, 0.2442367308555474, -0.07254748228514087, -0.39627354292774153, -0.7026328761462588, -0.9676007487092547, -1.168970686954582, -1.287806903756458, -1.3097243490206476, -1.2259147252733793, -1.033850670511332, -0.7376185764947493, -0.3478521691364305, 0.11873721481610666, 0.6402131677563828, 1.1906052650349224, 1.7413727233304481, 2.2630567286123306, 2.727024237804107, 3.107198480978763, 3.38167008786685, 3.5340879513006906, 3.5547404430153158, 3.4412548417215376, 3.1988648788021554, 2.840221893542021, 2.384752709225104, 1.8575953249634407, 1.288170136766485, 0.7084679724522025, 0.15115521859047068, -0.35239054402615333, -0.7739946363940388, -1.090430334474042, -1.2848845062507306, -1.3480488981218508, -1.2787637841914603, -1.0841673128246525, -0.7793339021765165, -0.38641662723999176, 0.0666602545716703, 0.5478836491894452, 1.0231092359419416, 1.458175977411671, 1.8210475594104025, 2.083847200699487, 2.2246570635643512, 2.228966509299053, 2.090673987533032, 1.8125742404737335, 1.40629412920128, 0.8916748027653293, 0.29563297191182036, -0.3494325202762138, -1.0075929911425718, -1.6415813350564148, -2.2150862966699214, -2.6950053513014436, -3.0535131421648973], 'positive_zeros': ['0.26842497543238601932190305788925', '1.81062442622822854940944423921429', '3.04882472527632971032618466555248', '4.52961209845868065880455989112017', '4.83701245049011604237275197505899', '6.17406228867933004017658682681181', '6.92650146081336132768541309076590', '7.48297790875563602495843153541598', '8.915479013283293312520605417274955', '9.257161887082921325813656761706100'], 'prelabel': '2-1100-11.10-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.47474465885238, 'root_angle': -0.28350211699743555, 'root_number': '-0.2089488982985068778868991966080993970672536303354082325 - 0.9779265605861414732449620274449575750310821180299506307*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.28350211699743555', 'prec': 67}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.26842497543238601932190305789', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.81062442622822854940944423921', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.04882472527632971032618466555', 'prec': 103}}
