{'Lhash': '3533537427245571287845902118725', 'a10': [-0.3328317407393117, -0.13786342100246868], 'a2': [-0.25473838589233494, -0.25473838589233494], 'a3': [0.020755701969749005, 0.05010869719194201], 'a4': [0.0, -1.8702167095059357], 'a5': [0.9238795325112867, -0.3826834323650898], 'a6': [0.0074773346240068666, -0.018051882659679306], 'a7': [0.2759796408885964, 0.11431451019491298], 'a8': [-0.9858927576330859, 0.9858927576330859], 'a9': [2.119240261189626, -2.119240261189626], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.6787284171808836, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[5, [[1.0, 0], [-0.9238795325112867, 0.3826834323650898]]], [17, [[1.0, 0], [1.2120249135784091, -3.940938417289117]]]], 'bad_primes': [5, 17], 'central_character': '85.66', 'coefficient_field': 'CDF', 'conductor': 85, 'conductor_radical': 85, 'conjugate': '2315237475637421634929836780719', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.25473838589233494, 0.25473838589233494], [0, 2.0]], [[1.0, 0], [-0.020755701969749005, -0.05010869719194201], [-2.1213203435596424, 2.1213203435596424]], [[1.0, 0], [-0.9238795325112867, 0.3826834323650898]], [[1.0, 0], [-0.2759796408885964, -0.11431451019491298], [4.949747468305833, 4.949747468305833]], [[1.0, 0], [1.059000783244149, -2.556654053471755], [-7.7781745930520225, -7.7781745930520225]], [[1.0, 0], [0, -1.9795574372864582], [-13.0, 0]], [[1.0, 0], [1.2120249135784091, -3.940938417289117]], [[1.0, 0], [1.9933092094446603, 1.9933092094446603], [0, 19.0]], [[1.0, 0], [2.5791925417901735, -6.226721614361373], [-16.263455967290593, -16.263455967290593]], [[1.0, 0], [-4.366324265923179, 1.8085907286641294], [20.506096654409877, -20.506096654409877]], [[1.0, 0], [-1.1580763927026505, -2.795843733526849], [-21.920310216782973, 21.920310216782973]], [[1.0, 0], [3.605371372287497, 8.704136464368172], [-26.16295090390226, 26.16295090390226]], [[1.0, 0], [-2.8730067935650263, -1.1900383786846729], [28.991378028648448, 28.991378028648448]], [[1.0, 0], [-5.787709971575161, 5.787709971575161], [0, -43.0]], [[1.0, 0], [0, 1.0834113820767015], [-47.0, 0]], [[1.0, 0], [1.898580847915835, 1.898580847915835], [0, 53.0]], [[1.0, 0], [6.473099481075608, -6.473099481075608], [0, -59.0]], [[1.0, 0], [-10.341819723381317, -4.283721989042112], [43.1335136523794, 43.1335136523794]], [[1.0, 0], [12.558505983880723, 0], [67.0, 0]], [[1.0, 0], [2.253154385888958, 5.439595876533544], [-50.204581464244875, 50.204581464244875]], [[1.0, 0], [0.20017312922037483, -0.08291442494574135], [51.61879502661797, -51.61879502661797]], [[1.0, 0], [4.077712566761587, -9.844468982135028], [-55.86143571373726, -55.86143571373726]], [[1.0, 0], [11.012944012296897, 11.012944012296897], [0, 83.0]], [[1.0, 0], [0, -1.5526395902117798], [-89.0, 0]], [[1.0, 0], [-8.28752379318497, 3.4328047536269324], [68.58935777509511, -68.58935777509511]], [[1.0, 0], [6.921323079116142, 0], [101.0, 0]], [[1.0, 0], [-12.964172187925719, 0], [103.0, 0]], [[1.0, 0], [3.3477942075578775, -1.3867017648045612], [75.66042558696059, -75.66042558696059]], [[1.0, 0], [4.758319707965245, 1.9709605571463895], [77.07463914933368, 77.07463914933368]], [[1.0, 0], [-4.212022874318178, 10.168722748204653], [-79.90306627407988, -79.90306627407988]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 9594932, 'index': 2, 'label': '2-85-17.15-c1-0-2', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/85/2/l/a/66/3', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 10}, 'plot_values': [0.9386302782359074, 0.974137693556828, 1.0224230331073865, 1.0832728842807737, 1.1554286047659539, 1.2367443365112383, 1.3243417552025638, 1.4147267910562105, 1.503868352437391, 1.587258999381934, 1.6599820830225724, 1.7168059210025557, 1.752318918712574, 1.7611129298755381, 1.7380162645740838, 1.6783724472629724, 1.5783558206695405, 1.4353102445462003, 1.2480925079910636, 1.0173978880763628, 0.7460418969870052, 0.4391700892433157, 0.10436729682942968, -0.2483607596239948, -0.6067565376460035, -0.956646861237191, -1.2824534452808733, -1.5678733509073162, -1.7967114472997279, -1.9538323023578203, -2.026184164949754, -2.003834081122287, -1.8809420972067623, -1.6565953783109555, -1.3354212586569711, -0.927902854399546, -0.45033263667264867, 0.0756415226807399, 0.6238973150506976, 1.1651337408072642, 1.6685339242842652, 2.1037106453138086, 2.442815608533994, 2.6626643590203094, 2.7467086883356018, 2.68668057845129, 2.4837387276385288, 2.1489719526173183, 1.7031533387068738, 1.175693374117116, 0.6028062090830733, 0.024975748037273586, -0.5161187299859833, -0.9809914763846712, -1.33577568483431, -1.555376476963117, -1.6260384739460272, -1.5470414012384994, -1.3312949797914855, -1.004691196293325, -0.604182186824756, -0.17467647545288642, 0.23502638651912006, 0.5769258776189511, 0.8087055896003438, 0.8983275422328482, 0.8278403521827661, 0.595948637822122, 0.21898668655392609, -0.2699174465781131, -0.8235219783785155, -1.3848314802074677, -1.8927755307903396, -2.28867102449356, -2.522805847334244, -2.5604192373341377, -2.3863697978202683, -2.007880872873332, -1.454930396091653, -0.7780940736178427, -0.043933433036062335, 0.6716866788848297, 1.2916976802017082, 1.7464803429769087, 1.982086820011387, 1.9670369927236453, 1.696805177325141, 1.1953399377833571, 0.5132827860595931, -0.27706270460160715, -1.0895557050305567, -1.8340088012681062, -2.426825756940465, -2.8012015847504625, -2.9155887794550623, -2.759288598070144, -2.354338270191764, -1.7533029639688833, -1.0330951502449364, -0.2854699355261746, 0.3946867896578547, 0.9218165347294179, 1.2312661758493513, 1.2884048153023866, 1.093961613653957, 0.6847230844286347, 0.12932579710316094, -0.4804564960852475, -1.0418928902720028, -1.4553796265205927, -1.6385364989763258, -1.5383460895674603, -1.139565469350252, -0.46810024253842175, 0.411301200972891, 1.4028864897856765, 2.3923239668614356, 3.2620709446971, 3.9075605829255746, 4.251893514750719, 4.256866255924897, 3.9286419437048012, 3.3171128488011856, 2.508917209649172, 1.6150233487262378, 0.7546378799158463, 0.03779802569191252, -0.45073219269480763, -0.6637796625220977, -0.5983401728942371, -0.295314536456337, 0.16764755871503556, 0.6891541810581627, 1.1609272129092507, 1.485839830926772, 1.594211703944154, 1.4556507717196503, 1.084394121933326, 0.5371230821087797, -0.09654624257549003, -0.7094620336849012, -1.195754760626483, -1.4699470675004336, -1.4830768047692326, -1.2329530624091918, -0.7665682703000725, -0.17396378516983102, 0.42571070604003175, 0.9038323996989979, 1.1444624083085424, 1.0652958338852139, 0.6337417598885474, -0.12482895466056826, -1.128389886040828, -2.2492554782527567, -3.3332354955574277, -4.223951924737105, -4.788328189660935, -4.938926789816315, -4.649221710182135, -3.9590010572088645, -2.968732531878403, -1.823618237091002, -0.689888518553677, 0.2726899695342595, 0.937356732915299, 1.2312783034756094, 1.1470763989760637, 0.7427947979556462, 0.13017176010663006, -0.5468036129103214, -1.1392677149106516, -1.5218490960439395, -1.6168017595852369, -1.4093551278624503, -0.9512624547921206, -0.3516597114296776, 0.24330359148774022, 0.6784638257158141, 0.8201577011463955, 0.5835402491073526, -0.04854255085145206, -1.0189119509276114, -2.2032160945722876, -3.4298952780649294, -4.5095168159896915, -5.268197580179495, -5.57894770648516, -5.385038523017861, -4.710897318421943, -3.6583183037284983, -2.388532227822304, -1.0933746549410275, 0.03908905280300681, 0.8580088370010932, 1.2759163766531354, 1.2826266244148794, 0.9442428972134693, 0.38753300540334, -0.2271784019863979, -0.7391731945719268, -1.0199089288821974, -0.9984457355432733, -0.6746087741459352, -0.11724605566573755, 0.5520095282124782, 1.1860643251263174, 1.645030660719349, 1.8273204374931618, 1.6925046489380133, 1.2709347317439188, 0.6578627456496954, -0.006929655188980499, -0.5698561957975786, -0.8981502122621523, -0.9109366638995662, -0.5998695536727561, -0.0345076896037009, 0.6492540368155835, 1.275787395372418, 1.6661685507893496, 1.6769784430730235, 1.233250016844945, 0.3483357638122116, -0.8739705688079028, -2.2560951133299016, -3.5792126344053483, -4.625288449649964, -5.220102404592196, -5.268308871578625, -4.773067630332748, -3.8358868108364805, -2.636423130713861, -1.3962273816251884, -0.3338940365790143, 0.37899260098101767, 0.6517774023695732, 0.4912507691226632, -0.0028284844018115433, -0.662280958747084, -1.2898222473148833, -1.7045583929660535, -1.7836255433206534, -1.4906801944429007, -0.8847548399201476, -0.1072849549191444, 0.650037944132358, 1.1895943345713949, 1.3545025883541724, 1.0670819906269005, 0.35022494011820077, -0.6735315838606607, -1.8055283598795067, -2.8123184444408853, -3.475938127040819, -3.642065191063533, -3.2552878226543673], 'positive_zeros': ['2.78746953348926650965759202979467', '4.60749404670277446830063327538089', '6.38052059334660242969843926708901', '7.67670222979078573743822863296949', '8.558890232574302589390526954754454', '10.00744811108340410341144853445606', '11.08228881131254135144852388977424', '12.42503211866498636853312741958697', '13.27674694546926300868903832727555', '14.19439879426464434649359606771002'], 'prelabel': '2-85-17.15-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8238497540091176, 'root_angle': 0.12207575189305513, 'root_number': '0.719978789876381 + 0.6939960678045244*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.122075751893', 'prec': 40}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.78746953348926650965759202979', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '4.60749404670277446830063327538', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '6.38052059334660242969843926709', 'prec': 100}}