{'Lhash': '1174926646558467144540874526064', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.9339981424566101, 1.4586457657319003], 'a4': [0.0, 0.0], 'a5': [0.3134441299292625, 0.3134441299292625], 'a6': [0.0, 0.0], 'a7': [0.0745867472220269, -0.2783615302039012], 'a8': [0.0, 0.0], 'a9': [-1.255294939775204, 2.724744871391589], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.9826650861278985, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-0.9339981424566101, -1.4586457657319003]]], [13, [[1.0, 0], [1.7914386565624116, -3.129017024526051]]]], 'bad_primes': [2, 3, 13], 'central_character': '624.305', 'coefficient_field': 'CDF', 'conductor': 624, 'conductor_radical': 78, 'conjugate': '2420814222092154959785549326125', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.9339981424566101, -1.4586457657319003]], [[1.0, 0], [-0.3134441299292625, -0.3134441299292625], [0, 5.0]], [[1.0, 0], [-0.0745867472220269, 0.2783615302039012], [-6.06217782649107, -3.5]], [[1.0, 0], [0.15085974959488982, 0.5630162503052472], [-9.526279441628825, 5.5]], [[1.0, 0], [1.7914386565624116, -3.129017024526051]], [[1.0, 0], [-2.79906510808611, -4.848122980898414], [-8.5, 14.722431864335457]], [[1.0, 0], [-6.791267645328615, -1.8197146811494147], [16.454482671904334, 9.5]], [[1.0, 0], [3.3259501230176878, -5.760714596506593], [-11.5, -19.91858428704209]], [[1.0, 0], [3.576813117539525, 2.0650740162524293], [14.5, 25.11473670974872]], [[1.0, 0], [-1.035727373628449, 1.035727373628449], [0, -31.0]], [[1.0, 0], [-6.721467458562302, 1.8010117774738397], [32.04293994002423, -18.5]], [[1.0, 0], [7.369875194428931, -1.9747521066653955], [35.50704155516198, -20.5]], [[1.0, 0], [-3.2629916207416123, 1.8838890905986632], [21.5, -37.239092362730865]], [[1.0, 0], [3.717991531794501, -3.717991531794501], [0, -47.0]], [[1.0, 0], [0, 3.6477847141410114], [-53.0, 0]], [[1.0, 0], [-3.291109761789871, -0.8818502028737805], [51.09549882328188, 29.5]], [[1.0, 0], [5.255540271700166, 9.10286277180903], [-30.5, 52.827549630850754]], [[1.0, 0], [2.291438656562412, 8.551765488718292], [-58.023702053557386, 33.5]], [[1.0, 0], [-3.9822889214647588, 14.862104585325147], [-61.48780366869514, -35.5]], [[1.0, 0], [-3.5205284753999564, -3.5205284753999564], [0, 73.0]], [[1.0, 0], [1.108860554608048, 0], [79.0, 0]], [[1.0, 0], [-8.230319431223315, -8.230319431223315], [0, 83.0]], [[1.0, 0], [-3.6447840755862213, -13.602519352705741], [-77.07626093681505, 44.5]], [[1.0, 0], [-2.5924504340362513, -0.6946450002177271], [84.00446416709055, 48.5]], [[1.0, 0], [-7.120303074052946, 12.332726689548565], [-50.5, -87.4685657822283]], [[1.0, 0], [0, -4.609031565841844], [-103.0, 0]], [[1.0, 0], [11.701739481196622, 6.756002439455741], [53.5, 92.66471820493493]], [[1.0, 0], [-2.0618816263454702, 2.0618816263454702], [0, -109.0]], [[1.0, 0], [-9.021082945562066, 5.2083246670022], [56.5, -97.86087062764156]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 11965161, 'index': 5, 'label': '2-624-39.32-c1-0-5', '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': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/624/2/cn/d/305/3', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [1.707256246227759, 1.5333893384736237, 1.3519425953378903, 1.1560404122175936, 0.938875399245467, 0.6955446139832098, 0.42449987504171066, 0.12850203919826803, -0.18493261497484745, -0.5035852930851757, -0.8110909627304393, -1.0880076054749446, -1.3133883889381952, -1.4668009969348823, -1.5306743086419037, -1.4927814812234017, -1.3486029187771276, -1.1032655993473788, -0.77273901629011, -0.38399256988729163, 0.02610937242961313, 0.41328006781479826, 0.7295972275091734, 0.9283661225431745, 0.9696322428381993, 0.8257507414947828, 0.4863057250943905, -0.03836263177859999, -0.7157006719420623, -1.492057913368226, -2.296606477991327, -3.047937160513325, -3.6628121626817305, -4.066175199406563, -4.20121551135865, -4.038112280415121, -3.5800973155449984, -2.8656923165071797, -1.9663986177438721, -0.9797043501320549, -0.01795584272495765, 0.8056798193165828, 1.3923660241171194, 1.6717171687798027, 1.6126976890511073, 1.229409615288184, 0.5805171171346268, -0.2380364163354408, -1.1063114651288104, -1.8979160371239798, -2.4992373048242458, -2.8273199671280476, -2.843364043811206, -2.5593556205795647, -2.0363650026916025, -1.3744083419994728, -0.6952545115749148, -0.12090745504791611, 0.24855594040249304, 0.3537725919611129, 0.1878703519322444, -0.20130056606858956, -0.719359019051425, -1.2429393807909122, -1.643649594749137, -1.8140646596632288, -1.690707532424075, -1.2692520244845842, -0.6084372467087149, 0.17876698970033278, 0.945714113664346, 1.540867850170739, 1.8394197554463556, 1.7713940669019073, 1.340199858929719, 0.6271664266444497, -0.21978939992369997, -1.0120385693649079, -1.5562200091624863, -1.6935019378904195, -1.3341962673923093, -0.48029654378171166, 0.7693901397609454, 2.2334925474896843, 3.679715437142658, 4.868120625533464, 5.597572306918909, 5.745826140709586, 5.294700141533263, 4.3346209612507485, 3.0470584164660948, 1.6680762982574686, 0.4404126938145086, -0.4358014810791005, -0.8430412889271244, -0.7682931052361587, -0.3019340963081986, 0.3862355407246199, 1.0884209484023635, 1.6082384288892397, 1.8066295450055911, 1.6334801010277569, 1.1373892870164048, 0.45117362677235273, -0.24345773701581438, -0.7634557267611826, -0.972424635095027, -0.8169155259229306, -0.3415486585358209, 0.32137091590618905, 0.9856787855523758, 1.460454757588844, 1.602012575041508, 1.3551807150296065, 0.772539652293977, 0.005573693511149384, -0.7312118532425735, -1.2150206402085588, -1.2748253198416135, -0.841189649843658, 0.02779846948442838, 1.1525613598234759, 2.2701648026381505, 3.096325121204046, 3.396464167706637, 3.0479475195114523, 2.0771193366702785, 0.6605529569350371, -0.9112674515105892, -2.3000146144225284, -3.1995904347814026, -3.4103552027543733, -2.888600118915221, -1.7582434262202318, -0.2811853492490031, 1.2066232191436417, 2.3773443079798513, 2.9906534267580662, 2.9499146863410957, 2.320652449161786, 1.3067752800873484, 0.1912752333496034, -0.7423180134490585, -1.286247602560869, -1.3617786639494314, -1.0349773673365374, -0.4910857375065857, 0.024789098896860828, 0.2833941331984542, 0.14146366200265087, -0.4141808766288955, -1.2615428879380854, -2.1790207064338203, -2.9113119430912624, -3.2462082193607893, -3.0793068883802475, -2.44689547513004, -1.5164575394043225, -0.5368218538071456, 0.23773367775632068, 0.6267968678624402, 0.5822069895661117, 0.2067648575644101, -0.2740004229491172, -0.5801820690665165, -0.46659504539429864, 0.1938872283730684, 1.3586532979841703, 2.8127425788178555, 4.218629359495822, 5.206080391392365, 5.477210661803492, 4.896294253654721, 3.5372280423929148, 1.6730977492110595, -0.29113755221057497, -1.925055139663078, -2.8885284774585567, -3.0236641371243027, -2.3960836321387418, -1.2731521762050728, -0.04511980414853059, 0.888013881633585, 1.2308702952688548, 0.8748258098750014, -0.07594473243625308, -1.3415199756218845, -2.554381945773277, -3.371315343816766, -3.574752709685181, -3.1328916638566686, -2.2010340049828856, -1.0651374786893608, -0.04671021074417269, 0.599828491170774, 0.7641881297660594, 0.5071703138878586, 0.029653290821471275, -0.4051448778037081, -0.5693640183224471, -0.35468286091005713, 0.18610276361186412, 0.8549912508561757, 1.3776255518325906, 1.5022595688824798, 1.0950677533366522, 0.19826020307868464, -0.9708913397142247, -2.0825508911409867, -2.7998110259466884, -2.893200244836872, -2.3256672520510855, -1.2777548012081914, -0.10142073798486625, 0.7856944784704276, 1.0334444819048565, 0.47727806544403534, -0.7979734517947469, -2.4715271296518906, -4.075811063241568, -5.1352352538164405, -5.3116732107239315, -4.51056282420153, -2.9132834020748906, -0.9246062661601494, 0.9488433319358222, 2.250888777237151, 2.7106052716586615, 2.3170053846443133, 1.310589452860285, 0.09590200375010689, -0.8950286964134435, -1.342752383787453, -1.137874104825796, -0.40480910860372615, 0.5540275036763807, 1.372404264694949, 1.7520922769947231, 1.566211698387268, 0.8986208266355513, 0.0067610975346429755, -0.7774609433229868, -1.172272277413912, -1.0507330217420714, -0.4874631761238309, 0.26968822516320706, 0.8928581494214809, 1.0983049109093135, 0.7557962386114037, -0.05763469118355046, -1.080651332745139, -1.9604874232403937, -2.3829280758779467, -2.1920091181325803, -1.4544701810727372, -0.4429912693407133, 0.45866216616051403], 'positive_zeros': ['0.926853697972400186437514812270501', '2.49198429777431768334851869649689', '3.36705190326652543106625629806481', '5.00246787068216264307535036700417', '5.84023766715523044801848547785811', '7.15805408381413355491062516749765', '7.56760797943175763606672037523160', '8.597202727508270756310775758596830', '9.467960938780041250939888658448858', '10.17697001192881913034278863345629'], 'prelabel': '2-624-39.32-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.232188407399317, 'root_angle': -0.25174332991232634, 'root_number': '-0.010953445850158776 - 0.9999400092125565*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.251743329912', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.926853697972400186437514812271', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.49198429777431768334851869650', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.36705190326652543106625629806', 'prec': 103}}
