{'Lhash': '1459361993843138017967746089038', 'a10': [33.58184298004424, 0.0], 'a2': [2.0, 0.0], 'a3': [-8.51755222819902, 0.0], 'a4': [4.0, 0.0], 'a5': [16.79092149002212, 0.0], 'a6': [-17.03510445639804, 0.0], 'a7': [25.179221585864546, 0.0], 'a8': [8.0, 0.0], 'a9': [45.548695960098094, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 31.743027583088466, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-2.0, 0]]], [269, [[1.0, 0], [-269.0, 0]]]], 'bad_primes': [2, 269], 'central_character': '538.1', 'coefficient_field': 'CDF', 'conductor': 538, 'conductor_radical': 538, 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.0, 0]], [[1.0, 0], [8.51755222819902, 0], [27.0, 0]], [[1.0, 0], [-16.79092149002212, 0], [125.0, 0]], [[1.0, 0], [-25.179221585864546, 0], [343.0, 0]], [[1.0, 0], [16.177175996637462, 0], [1331.0, 0]], [[1.0, 0], [-62.61402169916464, 0], [2197.0, 0]], [[1.0, 0], [-16.46359578626226, 0], [4913.0, 0]], [[1.0, 0], [-58.184690450884524, 0], [6859.0, 0]], [[1.0, 0], [170.94743229647287, 0], [12167.0, 0]], [[1.0, 0], [7.217208255544199, 0], [24389.0, 0]], [[1.0, 0], [126.08037504093569, 0], [29791.0, 0]], [[1.0, 0], [188.1936394564045, 0], [50653.0, 0]], [[1.0, 0], [-15.285854205912864, 0], [68921.0, 0]], [[1.0, 0], [172.6757270397179, 0], [79507.0, 0]], [[1.0, 0], [-608.7563697100265, 0], [103823.0, 0]], [[1.0, 0], [-545.0571776499094, 0], [148877.0, 0]], [[1.0, 0], [-487.62197264238, 0], [205379.0, 0]], [[1.0, 0], [-576.4402022807781, 0], [226981.0, 0]], [[1.0, 0], [930.4759885676576, 0], [300763.0, 0]], [[1.0, 0], [-287.3038075827994, 0], [357911.0, 0]], [[1.0, 0], [-331.7827841330119, 0], [389017.0, 0]], [[1.0, 0], [-231.79974943410392, 0], [493039.0, 0]], [[1.0, 0], [671.8111922918964, 0], [571787.0, 0]], [[1.0, 0], [927.3082948570341, 0], [704969.0, 0]], [[1.0, 0], [128.34121042438824, 0], [912673.0, 0]], [[1.0, 0], [-1415.000846626191, 0], [1030301.0, 0]], [[1.0, 0], [410.98507209176626, 0], [1092727.0, 0]], [[1.0, 0], [-230.39043200136345, 0], [1225043.0, 0]], [[1.0, 0], [-745.9209584572202, 0], [1295029.0, 0]], [[1.0, 0], [-968.6485039335089, 0], [1442897.0, 0]], [[1.0, 0], [1079.9506512030373, 0], [2048383.0, 0]], [[1.0, 0], [-280.129687977114, 0], [2248091.0, 0]], [[1.0, 0], [-157.65605694168264, 0], [2571353.0, 0]], [[1.0, 0], [2347.7039306767615, 0], [2685619.0, 0]], [[1.0, 0], [3628.3047599228216, 0], [3307949.0, 0]], [[1.0, 0], [-2955.1395212964862, 0], [3442951.0, 0]], [[1.0, 0], [3749.2684589192513, 0], [3869893.0, 0]], [[1.0, 0], [-1601.9617764802745, 0], [4330747.0, 0]], [[1.0, 0], [1025.5492817019108, 0], [4657463.0, 0]], [[1.0, 0], [-2605.4039274477036, 0], [5177717.0, 0]], [[1.0, 0], [-666.4514068444846, 0], [5735339.0, 0]], [[1.0, 0], [-2322.948876601625, 0], [5929741.0, 0]], [[1.0, 0], [-3906.684501362412, 0], [6967871.0, 0]], [[1.0, 0], [-470.44888333966816, 0], [7189057.0, 0]], [[1.0, 0], [2948.1509212535548, 0], [7645373.0, 0]], [[1.0, 0], [3643.138747929588, 0], [7880599.0, 0]], [[1.0, 0], [2827.865511838742, 0], [9393931.0, 0]], [[1.0, 0], [-752.3109783330809, 0], [11089567.0, 0]], [[1.0, 0], [-579.9839340968961, 0], [11697083.0, 0]], [[1.0, 0], [2013.116266316755, 0], [12008989.0, 0]], [[1.0, 0], [-4894.64908389742, 0], [12649337.0, 0]], [[1.0, 0], [-4899.412356281486, 0], [13651919.0, 0]], [[1.0, 0], [-7263.068591145639, 0], [13997521.0, 0]], [[1.0, 0], [5672.267383383819, 0], [15813251.0, 0]], [[1.0, 0], [-6578.2342905844625, 0], [16974593.0, 0]], [[1.0, 0], [2061.3759072715966, 0], [18191447.0, 0]], [[1.0, 0], [-269.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 20343893, 'index': 26, 'label': '2-538-1.1-c3-0-26', 'leading_term': '2.97553327354934828885809738769', 'load_key': 'CMFs-workshop', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/538/4/a/d/1/3', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.0625', 'prec': 20}, 'plot_values': [2.9755332735493485, 2.9637405596054247, 2.928459430961802, 2.869982403140463, 2.7888018124845715, 2.6856166533902592, 2.561341408983776, 2.4171161691837537, 2.2543171769404964, 2.074566823511859, 1.8797420311259914, 1.6719799190855515, 1.453679648731477, 1.227499383942408, 0.9963473861877318, 0.7633663848810325, 0.531910522444806, 0.3055143659777353, 0.08785369996698045, -0.11730193726412057, -0.30614474177007567, -0.4748916414116924, -0.61985399474313, -0.7375128900432566, -0.8245986563012975, -0.87817292634766, -0.895711345040051, -0.8751848018705467, -0.8151368970174169, -0.714755231962004, -0.5739340589902219, -0.3933258359218093, -0.17437931964892464, 0.0806380008107187, 0.3686350814554378, 0.6857117281540023, 1.027193434511046, 1.3876873713078424, 1.761159693419383, 2.141033723198219, 2.5203079228539127, 2.8916918998445964, 3.2477580187007984, 3.581105541986531, 3.884533615638198, 4.151218873772782, 4.374892989172502, 4.550015160979467, 4.67193433167203, 4.737035879240371, 4.742867651877674, 4.688240510960316, 4.573299027577438, 4.399558636169344, 4.169906377060558, 3.888563342011572, 3.5610080506005284, 3.193861200825825, 2.794733519183689, 2.3720397426922983, 1.9347830527765613, 1.492315500651649, 1.054081066712974, 0.629348933939725, 0.2269452814983514, -0.14500762178197601, -0.47933605839650717, -0.7700343997701983, -1.0124511604003852, -1.2034339806526282, -1.341427068719101, -1.4265160552240488, -1.4604169063671715, -1.4464074550407355, -1.389202183575232, -1.294773055580182, -1.1701213681755789, -1.0230076943314155, -0.8616489198740664, -0.6943930635107562, -0.5293839178952819, -0.3742284904205632, -0.2356806910943823, -0.11935466395375538, -0.02948055891792192, 0.03128561528722079, 0.06198811470437306, 0.06342581937555593, 0.03812973002785057, -0.00973849731696884, -0.07456582926808202, -0.1495404195458831, -0.2269695665058037, -0.29865195604618494, -0.3562901683780083, -0.39192695661982463, -0.39838691070017196, -0.36970391738817027, -0.3015144091062352, -0.19139682447529846, -0.03913901288071269, 0.15308250257776918, 0.3806244798199472, 0.6364094538239392, 0.9110737249228813, 1.193230954980438, 1.469846376584565, 1.726711445617937, 1.949003754551438, 2.121912404525016, 2.231305036398932, 2.2644095572403287, 2.2104814564241475, 2.0614266363960585, 1.812349994329275, 1.4620016375202212, 1.0130955949662357, 0.472480137002073, -0.14885579021015524, -0.835949151349159, -1.5702044831261972, -2.3299051576428966, -3.090881124019701, -3.827312566284253, -4.512642037366515, -5.120561648925609, -5.626037127911646, -6.006327265796324, -6.241955702252573, -6.3175922501204145, -6.222803152221001, -5.952633746387707, -5.507992897019053, -4.895816035024398, -4.12899245533019, -3.2260523002799424, -2.2106189959579883, -1.1106433509577809, 0.04255440574086261, 1.2153991597998057, 2.373288634633244, 3.4818847491557086, 4.508414963176197, 5.422928205378228, 6.19945071401435, 6.8169903923025705, 7.260344011543264, 7.520669585998971, 7.595796179034893, 7.490254859327642, 7.215027000638174, 6.78701903457565, 6.228285509590636, 5.5650342579860315, 4.826458024156861, 4.043445512103103, 3.2472310010220884, 2.4680450954047664, 1.7338295916303146, 1.0690767736213915, 0.4938477674079235, 0.02301611579026244, -0.33422814453193583, -0.5745914010157172, -0.7005979379766226, -0.7202261665518781, -0.6462802921786996, -0.4955316569158851, -0.2876759070924653, -0.04416175376777062, 0.21304612996752395, 0.46270399898744746, 0.6854595891796411, 0.8648937003660755, 0.9883770719407904, 1.0476967925960607, 1.0394190490255426, 0.9649695174469409, 0.8304283666939826, 0.6460528228071214, 0.4255556579922325, 0.18518194079918499, -0.05736188828169445, -0.2840637684515729, -0.47777845638923233, -0.6233470630508355, -0.7085966501000256, -0.7251593086969405, -0.6690602137262874, -0.5410373044013606, -0.34657077696329525, -0.09561762296141336, 0.19793596351998277, 0.5170743781515855, 0.8426590583361999, 1.1545828992266998, 1.4330040640667379, 1.6595846806375805, 1.8186583478507068, 1.8982533646110855, 1.8909060544783183, 1.7942101422523447, 1.611063234714001, 1.3495892338378204, 1.0227349516722284, 0.6475591612368532, 0.24425160690577624, -0.16506307826715338, -0.5576671474781232, -0.9116572763955043, -1.207332060256832, -1.4284729344190537, -1.5634365463814623, -1.6059863248744173, -1.5558053912327394, -1.41865127028467, -1.2061340523191584, -0.9351225002283797, -0.6268057190441134, -0.3054599885083997, 0.003010183525038539, 0.27267206424766144, 0.4792102243572641, 0.601516898182061, 0.6231274255597833, 0.5334081675949607, 0.3284173376818834, 0.011377479360763613, -0.40727915617722305, -0.9103056270208546, -1.4744621357822838, -2.071724460539898, -2.6708140031712517, -3.2389632009697764, -3.743813660567279, -4.155334010719974, -4.447640915773839, -4.600610317397599, -4.60117670693671, -4.444235552283326, -4.133086960771533, -3.679385924261247, -3.102594432572198, -2.428961519413685, -1.6900869905799247, -0.9211512756066488, -0.15891579068752584, 0.5603860809803513, 1.2031389097131868, 1.7402871918853555, 2.1490083304920864, 2.4140111962917055, 2.528377398365293, 2.4938905505896782, 2.3208308520850545, 2.027246192976888, 1.6377445804623978], 'positive_zeros': ['1.15123362350823851390247428077716', '2.04362751581036137811721364359247', '4.03743838081287627355022616559774', '5.27656549813981684901962382098197', '5.55160673363993102881892139392464', '6.26380355694184789909730645778759', '7.36067166543168933792350378491235', '8.622723638975118981391460182528173', '10.06599245586433303551269540844849', '10.57332085386726448489013262843813'], 'prelabel': '2-538-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.634095098868004, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.15123362350823851390247428078', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.04362751581036137811721364359', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.03743838081287627355022616560', 'prec': 103}}