{'Lhash': '1564843376516659009348469979790,1606341443471778655168000759815', 'a10': -8, 'a2': 2, 'a3': -3, 'a4': 3, 'a5': -4, 'a6': -6, 'a7': -2, 'a8': 4, 'a9': 2, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1628.6384706242693, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, -2, 1]], [7, [1, 2, 1]], [19, [1]]], 'bad_primes': [2, 7, 19], 'central_character': '5054.1', 'coefficient_field': '1.1.1.1', 'conductor': 25542916, 'conductor_radical': 266, 'degree': 4, 'euler_factors': [[1, -2, 1], [1, 3, 7, 9, 9], [1, 4, 9, 20, 25], [1, 2, 1], [1, -6, 31, -66, 121], [1, -1, 15, -13, 169], [1, 3, 25, 51, 289], [1], [1, 0, 1, 0, 529], [1, -12, 89, -348, 841], [1, 10, 87, 310, 961], [1, -10, 99, -370, 1369], [1, 3, 53, 123, 1681], [1, 3, -13, 129, 1849], [1, 8, 105, 376, 2209], [1, -12, 97, -636, 2809], [1, 16, 177, 944, 3481], [1, 0, 77, 0, 3721], [1, 11, 63, 737, 4489], [1, 16, 186, 1136, 5041], [1, 7, 127, 511, 5329], [1, 27, 329, 2133, 6241], [1, 4, 150, 332, 6889], [1, -5, 183, -445, 7921], [1, -24, 293, -2328, 9409], [1, 5, 177, 505, 10201], [1, 7, 207, 721, 10609], [1, -18, 275, -1926, 11449], [1, 3, 209, 327, 11881], [1, -1, 75, -113, 12769]], 'euler_factors_factorization': [[[[1, -1], 2]], [[[1, 3, 7, 9, 9], 1]], [[[1, 4, 9, 20, 25], 1]], [[[1, 1], 2]], [[[1, -3, 11], 2]], [[[1, -1, 15, -13, 169], 1]], [[[1, 3, 25, 51, 289], 1]], [1], [[[1, 0, 1, 0, 529], 1]], [[[1, -12, 89, -348, 841], 1]], [[[1, 5, 31], 2]], [[[1, -5, 37], 2]], [[[1, 3, 53, 123, 1681], 1]], [[[1, 3, -13, 129, 1849], 1]], [[[1, 8, 105, 376, 2209], 1]], [[[1, -12, 97, -636, 2809], 1]], [[[1, 16, 177, 944, 3481], 1]], [[[1, 0, 77, 0, 3721], 1]], [[[1, 11, 63, 737, 4489], 1]], [[[1, 16, 186, 1136, 5041], 1]], [[[1, 7, 127, 511, 5329], 1]], [[[1, 27, 329, 2133, 6241], 1]], [[[1, 4, 150, 332, 6889], 1]], [[[1, -5, 183, -445, 7921], 1]], [[[1, -24, 293, -2328, 9409], 1]], [[[1, 5, 177, 505, 10201], 1]], [[[1, 7, 207, 721, 10609], 1]], [[[1, -18, 275, -1926, 11449], 1]], [[[1, 3, 209, 327, 11881], 1]], [[[1, -1, 75, -113, 12769], 1]]], 'gamma_factors': [[], [0, 0]], 'group': 'GL2', 'id': 21193922, 'index': 9, 'label': '4-5054e2-1.1-c1e2-0-9', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1], 'order_of_vanishing': 2, 'origin': 'ModularForm/GL2/Q/holomorphic/5054/2/a/j', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.0234375', 'prec': 30}, 'plot_values': [1.143341162750801e-120, 0.007964882210952767, 0.031812007009266945, 0.07139853991117866, 0.1264843449957622, 0.19673073480679482, 0.2816953807505687, 0.3808316108389234, 0.49347995518843013, 0.6188695766743448, 0.7561068567086293, 0.9041804085174899, 1.06194779886011, 1.2281452872241192, 1.4013744151141632, 1.5801171678929082, 1.7627246705419848, 1.9474379186671644, 2.1323811333235017, 2.3155875923974176, 2.4950002678405387, 2.6685016470771035, 2.8339240743554175, 2.989081822974913, 3.1317930814207604, 3.2599119608740916, 3.3713633227623916, 3.4641719235674255, 3.5365103130541002, 3.586721972615664, 3.6133813843740286, 3.6153078529761893, 3.5916356362782755, 3.541815193427025, 3.465690075283745, 3.363482646302439, 3.2358733654981156, 3.0839686061043796, 2.909377128224653, 2.714158470650633, 2.5008909327100906, 2.2726001163017826, 2.032812691501035, 1.7854659768404384, 1.5349422316006027, 1.2859616039004902, 1.043592708890499, 0.8131327460926571, 0.6000916807101184, 0.41006471059092975, 0.24868941219798302, 0.12151688588253477, 0.03394365143525422, -0.008911423308681936, -0.0022960474033797617, 0.0580655826612006, 0.17587013356325762, 0.35414542390805365, 0.5951436021806418, 0.900277653934933, 1.270021959536676, 1.7038793230594587, 2.2003017707363837, 2.7566900391477547, 3.3693478862590096, 4.0335130762957006, 4.743357839048199, 5.492047137848331, 6.2717961574994545, 7.073948284688348, 7.8890976533286, 8.707176094456349, 9.517644947588726, 10.309577564954905, 11.07192004164335, 11.793553998999258, 12.463620923092225, 13.071549181818323, 13.607431692930117, 14.06200165954541, 14.4270487608169, 14.695330035159415, 14.861006147071318, 14.919477199687812, 14.867818287627085, 14.704534638251767, 14.429974933676286, 14.04600578318313, 13.556382381172256, 12.96634849488983, 12.282946952958966, 11.514557586008113, 10.671134668071081, 9.763701005474623, 8.804505456616273, 7.80649604962633, 6.783397598358923, 5.749189813007822, 4.718112199561898, 3.7041741878930448, 2.7211012645808834, 1.7819029191143678, 0.8987796266230342, 0.08277084712233061, -0.6563535764781974, -1.310348868264786, -1.8725941922177387, -2.338242560816603, -2.704285398119136, -2.969596584744433, -3.134941379956836, -3.2029233382893993, -3.1779217935376187, -3.065958965565067, -2.874557536966961, -2.612552506138018, -2.289868797559144, -1.9173075230978958, -1.506252193551624, -1.0684614151469776, -0.6157201816777872, -0.15967030318472591, 0.28857043977575825, 0.7185127065369391, 1.1206818582529605, 1.4866364932512204, 1.8093323409475874, 2.0830431541467447, 2.303676471427555, 2.4685953887994088, 2.576865386720326, 2.6289860639504683, 2.6270556296704877, 2.574431364593747, 2.4758074257257285, 2.3368305103895675, 2.1640962844172837, 1.9647515552827313, 1.7464237778473048, 1.5168423855306359, 1.2837233407127084, 1.0544399067249326, 0.8358891469763746, 0.6342365547827896, 0.45479311079032636, 0.30184945507969807, 0.17859031598802969, 0.0870233062502513, 0.02795240210056946, 0.0009952249729354454, 0.004629372546994863, 0.036281572346276963, 0.092451010608856, 0.16884531991218, 0.2605748389580709, 0.3623051048366759, 0.4685065336606335, 0.5735916404108431, 0.672197215364512, 0.7592771263880012, 0.8303896977830968, 0.8817233745721647, 0.9103613202333749, 0.9142266504144173, 0.8922993981182101, 0.8444792508918116, 0.7717366056438681, 0.6759022965455009, 0.5597436055640477, 0.4267007980741991, 0.28088941248246807, 0.12681110732840636, -0.030706154150294564, -0.18679148798202616, -0.3366327624744939, -0.4757231345997807, -0.5999786607811394, -0.7059216276061393, -0.7907863717124106, -0.8526215081874164, -0.8903586468657787, -0.9038266789645031, -0.8937644608678033, -0.8617524294758475, -0.8101598125707815, -0.7420102750317663, -0.6608654399986249, -0.5706503482961166, -0.47548634927598676, -0.3795075164326114, -0.2866655236150738, -0.200568950627136, -0.12428901712749978, -0.06024974507456642, -0.010065232299541328, 0.025499560011452798, 0.046632463379772705, 0.05443416561894001, 0.05094314844676608, 0.03902067830161509, 0.022289015375797066, 0.004957410271494538, -0.008320642582360203, -0.01265484424345305, -0.00312212075570546, 0.025023420212543793, 0.07611671164227349, 0.1539004098328771, 0.2613007747025296, 0.400301037619451, 0.5717687899620485, 0.7754002444044806, 1.0096373268425973, 1.2716858864612097, 1.557551169587163, 1.8621185795020856, 2.179321988186485, 2.5022622155381526, 2.823505643830877, 3.1352054556945266, 3.42951071005802, 3.698650411859216, 3.9354181956306484, 4.1331806235926205, 4.286392262683178, 4.390497390146176, 4.442426266292705, 4.44037280078027, 4.384226004988317, 4.275223319587245, 4.116281262829914, 3.9115425146265816, 3.666585247392557, 3.387898841367741, 3.0829699639890245, 2.7597342037167985, 2.426555748196771, 2.0917080808215056, 1.7632800697573547, 1.4487369330374351, 1.1547960326521893, 0.8871095395872045, 0.6501563986153855, 0.44707173979533954, 0.279596675663838, 0.1480588630181607, 0.05140967735947668, -0.012661424517861723, -0.04759030343472976, -0.05772672870413304, -0.048106243093508194, -0.024192306792421833, 0.008416561054343602, 0.04423461448530264, 0.0782051931709472, 0.10588533846347979, 0.12373708872671035, 0.1292077952500666, 0.12094962474816781, 0.09877359650871854, 0.06376124008292886, 0.018093374645287763, -0.03496386106483105, -0.09133147382961104, -0.1462521079992226, -0.1946208201819354, -0.23121141057163555, -0.2510112476369292, -0.24949078574029407, -0.22288679407070838, -0.1684539543581838, -0.08465008175954779, 0.028693442283170077, 0.17031220989548307, 0.3374734822912898, 0.5260451214989427, 0.730629577515913, 0.9447365709023431, 1.1610931015843458, 1.3718707875704492, 1.56914804872796, 1.7451261465004062, 1.8926913715993479, 2.005548269630896, 2.078808978797312, 2.1089797632985876, 2.094496007554586, 2.035518628990658, 1.934339174628527, 1.794973187976607, 1.6233804309936535, 1.4268780264210388, 1.214153413100032, 0.994554931782257, 0.7779146519563402, 0.5738015488253198, 0.3912110364408575, 0.23788034950965248, 0.11993407177386001, 0.04135904656781689, 0.0037136529559813635, 0.005839511613885663, 0.0437419295481736, 0.1105799606588021, 0.19680449558057492, 0.29042199560235504, 0.37743691661017315, 0.4423350966729164, 0.4688239387969308, 0.4404376024267813, 0.3415099629393419, 0.15777376100429574, -0.12255210278188618, -0.5083069415892395, -1.0043433902574086, -1.6113386448286944, -2.324963294419935, -3.1360454317312385, -4.03011017668602, -4.9879269132569055, -5.985532497575557, -6.995126213069391, -7.985620444888739, -8.923783374884323, -9.77527560527756, -10.505888905190018, -11.082938631117575, -11.47641849281921, -11.66054112725383, -11.614631150767769, -11.32455378424298, -10.783203893175674, -9.99154602505494, -8.958622575418792, -7.701953799549725, -6.247074997765645, -4.627111374180268, -2.881949027903904, -1.0568995047893168, 0.7983033464736806, 2.6317141601333254, 4.390097445037908, 6.021856209461938, 7.477588495432591, 8.713470716952244, 9.691183668199157, 10.381416484167637, 10.762959694961486, 10.825972580644045, 10.570143430387148, 10.007393864803806, 9.159134853659003, 8.058163951601216, 6.745180990595555, 5.2697571933658445, 3.686395436732829, 2.0545957424212435, 0.4348311489517759, -1.1121205609559441, -2.5288791337193213, -3.7625725476525766, -4.767835696699664, -5.5079954281505215, -5.9570677228174, -6.100631255553751, -5.936658227681791, -5.475737113203358, -4.740736049343572, -3.7661407864938488, -2.596719525554952, -1.285890984345346, 0.10629079317574082, 1.5156541379059651, 2.8761815839997293, 4.1231672706392315, 5.195280068325236, 6.037987372219161, 6.6049737627278375, 6.861388097062277, 6.784280317263173, 6.365230482504704, 5.60961948425405, 4.538274620119848, 3.1855744791304836, 1.5998863271216448, -0.15930794252345323, -2.0222225167022865, -3.912275364388163, -5.747986494732943, -7.44667039616463, -8.92707724514351, -10.112790407671689, -10.935128614339321, -11.3358174533186, -11.269603301892607, -10.705889193701049, -9.630526878273479, -8.046283013326121, -5.97337359966836, -3.448828038344155, -0.5254965256799813, 2.7294258176742736, 6.236978292988082, 9.908332839350047, 13.648799083708985, 17.359637600189707, 20.943132224696118, 24.30380285148622, 27.354043236244735, 30.014293681049963, 32.21867529375648, 33.91383149280406, 35.064008183427816, 35.648470861045325, 35.66558016299022, 35.12890673430025, 34.070015749301916, 32.533599902452174, 30.578887279374303, 28.27426194365056, 25.69741406867934, 22.929993874869663, 20.05679847902473, 17.160996790285644, 14.322767023146515, 11.615539987131635, 9.104547682266192, 6.844376097946985, 4.8778545444241, 3.2350131322358813, 1.9326433839516224, 0.9745525168911204, 0.35197852124933443, 0.04485611277087266, 0.023101324457688487, 0.24848020236074672, 0.6766188518407633, 1.2590134616077342, 1.945498527591718, 2.685960829187882, 3.4329305025489316, 4.142654238019119, 4.7774695752043534, 5.306034585853373, 5.705202024220898, 5.959367278520864, 6.061661958517498, 6.012539545571678, 5.820236088247515, 5.498837095123492, 5.068081327204292, 4.551223764558184, 3.974363520582703, 3.3644273733494994, 2.748266781005147, 2.151037287954732, 1.595323457442098, 1.1000947281739248, 0.6800817868068226, 0.345369958225685, 0.10117640959778519, -0.051978057346427645, -0.1180374355599749, -0.10481780659151761, -0.02336522130326864, 0.11284085398906377, 0.2888167330778542, 0.48884538142765077, 0.6975216691362002, 0.9003013064896642, 1.0844826924331301, 1.2394064255999404, 1.3572235257185958, 1.4327057012802624, 1.463707563249315, 1.4506351745965145, 1.3965818862296104, 1.306571879750559, 1.1874189634812593, 1.0468999796039546, 0.8934383970391032, 0.7353640599795642, 0.580548479812831, 0.4358750087407535, 0.30694680835390664, 0.19783478736588841, 0.11094588203708962, 0.0470492956326589, 0.005341550573993383, -0.01630969510370703, -0.02112318863228996, -0.013045705403833553, 0.003601618451290693, 0.0244782453186103, 0.04559605194161363, 0.06356693499736008, 0.07589842939934469, 0.08106813619480631, 0.07867321517615437, 0.06931635572117939, 0.054580075107296025, 0.03676388111923702, 0.018707593909701663, 0.003446630747430673, -0.0060516769447101345, -0.00719795151732922, 0.001932450999654094, 0.022372952137480372, 0.05429490130465886, 0.09680533141093148, 0.1469613824341684, 0.20102699717102354], 'positive_zeros': ['1.23444376252803623352156962715356', '1.26717996519117407440489193144242', '2.41656594976030202015142720759436', '2.84421019872987466891801361875309', '3.49457823241203183224752609022467', '3.50737109255495899081237430263998', '4.02668717735028189981736651052523', '4.55261144070069790623322491264387', '4.71849670704738387897739752895506', '4.78498716993773470802334171478467', '5.78340018747528314465134444621704', '5.90055911330653196652715766192690', '6.12546907394498046253238757388945', '6.36959955823973951078716651942008', '7.04005691000821066696607345712295', '7.04309238014470053871464462232545', '7.30327189351335576514860949510275', '7.935231853611193153903462142729151'], 'prelabel': '4-5054e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.352668193881617, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e2-0', 'trace_hash': 1094349391398964531, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.23444376252803623352156962715', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.26717996519117407440489193144', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.41656594976030202015142720759', 'prec': 103}}
