{'Lhash': '4054754099710324798016479858944', 'a10': [-4.132169383602405, -0.5928356332280658], 'a2': [1.8597798656732114, 0.16270965490017172], 'a3': [1.7196028264563965, 0.20728270367585427], 'a4': [1.4626912109413193, 0.25791192493409126], 'a5': [-2.2326585016807092, -0.12343425323973259], 'a6': [3.164355816416479, 0.6652961812567405], 'a7': [-2.5641776814166297, -1.7954565418370199], 'a8': [-0.9282238875923345, -0.24871684107564326], 'a9': [2.914067761513656, 0.7128878462330455], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.0779804272872857, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [[1.0, 0], [-1.7196028264563965, -0.20728270367585427]]], [5, [[1.0, 0], [2.2326585016807092, 0.12343425323973259]]]], 'bad_primes': [3, 5], 'central_character': '135.113', 'coefficient_field': 'CDF', 'conductor': 135, 'conductor_radical': 15, 'conjugate': '3875835558133405812113502654614', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.8597798656732114, -0.16270965490017172], [1.969615506024416, 0.3472963553338607]], [[1.0, 0], [-1.7196028264563965, -0.20728270367585427]], [[1.0, 0], [2.2326585016807092, 0.12343425323973259]], [[1.0, 0], [2.5641776814166297, 1.7954565418370199], [2.3941410032796813, 6.5778483455013586]], [[1.0, 0], [1.2179012530696243, -3.346156191934282], [-8.426488874308758, -7.070663706551932]], [[1.0, 0], [-0.16587505926877352, -1.895960603165719], [-12.802500789158705, 2.2574263096700946]], [[1.0, 0], [-3.309818905750962, 0.8868633028892325], [14.722431864335457, -8.5]], [[1.0, 0], [-5.009902482927522, 2.8924685471319793], [9.5, -16.454482671904334]], [[1.0, 0], [-0.7490785107009741, -1.0697949819509478], [-7.866463296490381, 21.612930278075893]], [[1.0, 0], [-0.014439775628926788, 0.012116410404515143], [5.03579715234098, -28.559424837354033]], [[1.0, 0], [-0.260357459085063, 1.4765605243109796], [-29.13047124436316, -10.602624443095731]], [[1.0, 0], [2.6196210498875643, 9.776558854757315], [-32.04293994002423, 18.5]], [[1.0, 0], [6.390647437250053, -7.616077042345731], [-7.119575284344144, -40.37711787350053]], [[1.0, 0], [3.235178342486904, 6.937862344545809], [-27.639867216521193, 32.93991105411605]], [[1.0, 0], [6.319137662793047, -9.024663857446914], [-16.07494673630643, -44.16555317693769]], [[1.0, 0], [-3.540406556551224, 3.540406556551224], [0, -53.0]], [[1.0, 0], [5.270457002968019, -1.9182894700602169], [45.196622144019706, -37.92446897150582]], [[1.0, 0], [-1.4769723463903566, -8.376326416161739], [-57.32124986794041, 20.863228742865793]], [[1.0, 0], [-0.22269467589959518, 0.01948325956879438], [65.98211945181794, -11.634427903684333]], [[1.0, 0], [0.42896375758847405, 0.24766234091629888], [35.5, 61.48780366869514]], [[1.0, 0], [2.0769367106039605, -7.751233328078958], [-63.21985447626402, -36.5]], [[1.0, 0], [-1.139502474042003, -1.3580061672095474], [-13.718206035687498, 77.79981248796443]], [[1.0, 0], [-0.6436499919433083, 7.356953072583931], [-81.73904350001327, -14.412798746355218]], [[1.0, 0], [-4.4325969588301355, -7.677483142169085], [-44.5, 77.07626093681505]], [[1.0, 0], [-6.936431416506998, 3.234511089784138], [62.35039813959431, -74.30631098254086]], [[1.0, 0], [-16.697532552530454, 2.944225500269003], [94.90895469937675, -34.544034475892545]], [[1.0, 0], [-1.9971178229508353, -0.9312713350798131], [66.20712379771355, 78.90257764125474]], [[1.0, 0], [13.80214393832079, 13.80214393832079], [0, 107.0]], [[1.0, 0], [0, -14.919563006008445], [-109.0, 0]], [[1.0, 0], [-2.9897947586016977, 6.411635550724546], [-72.63499989457894, -86.56302207244451]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 9612382, 'index': 14, 'label': '2-135-135.113-c1-0-14', '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/135/2/q/a/113/13', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 10}, 'plot_values': [2.069602900850843, 2.076269878830824, 2.1088584723888104, 2.163892634155711, 2.236269223009238, 2.3197658905845366, 2.4074969938652684, 2.492265440180992, 2.5668283534325886, 2.6241235490992727, 2.6575003451984265, 2.660980674229688, 2.629557323441434, 2.559520361621198, 2.4487911644098315, 2.2972353704640427, 2.106921060029882, 1.8822862951580897, 1.630181056573184, 1.359752844969162, 1.082153020671804, 0.8100523681679261, 0.5569691059891765, 0.3364299391266973, 0.16100366518097692, 0.04126578069851673, -0.015230366337770048, -0.004887139559152167, 0.07119502483104095, 0.20676162762081235, 0.3903195049571663, 0.6054883107066051, 0.8318224425184206, 1.0460986904426046, 1.224019516264778, 1.3422338161258247, 1.380530851456785, 1.3240239635455593, 1.1651140899483636, 0.9050139328418987, 0.5546257820460112, 0.13460165376620833, -0.3255265103443706, -0.7891790662985404, -1.2154608660366881, -1.5626290563155865, -1.7920334434542144, -1.8721825021800058, -1.7825305746540558, -1.5165609149086878, -1.0837625376182445, -0.5101698133366316, 0.1627492124899963, 0.8809140246166733, 1.5820390474830877, 2.2013143942528823, 2.6778707555503862, 2.9613985175642967, 3.0182071395956713, 2.836000237310135, 2.4267146616349335, 1.8269290556372493, 1.0955795200765297, 0.30900730051763137, -0.4463231958779254, -1.0827938607068568, -1.5213916828141973, -1.7011873311589691, -1.587406869377455, -1.1770454822371055, -0.5011834291711039, 0.37650246308309476, 1.3651148212982833, 2.355414178519584, 3.2313583517133564, 3.8830763494721032, 4.2197927813775475, 4.181132000239615, 3.745339833809589, 2.933264951089316, 1.8074153935267487, 0.46599720033863873, -0.9675200831943331, -2.3581650514787467, -3.5749268186765604, -4.506005011970951, -5.0718920588507626, -5.234554233577642, -5.001446795167043, -4.423761091953201, -3.5890731161548386, -2.609338249687797, -1.605843952196505, -0.6931888962732685, 0.03547251677462523, 0.5198341603680355, 0.7388704519629334, 0.7113968315896773, 0.49073216172945877, 0.15433460896671192, -0.2099348414908456, -0.5187272483304243, -0.7069023496031885, -0.7377892756645695, -0.608338185746887, -0.34832307829119324, -0.01375004084814791, 0.32438126909375387, 0.593990685444037, 0.7360254288456383, 0.7161932490469959, 0.5321123397833308, 0.21443810237186198, -0.17841457826619264, -0.571161280017403, -0.8862745414086484, -1.0596788378755042, -1.0545048632622782, -0.8700926293240826, -0.5441674879847562, -0.14728209629159641, 0.22996677358009343, 0.4950196750498704, 0.5736488114660355, 0.42871284691280725, 0.07360193703717362, -0.422716390589228, -0.9408352798360101, -1.3262815748842223, -1.4132987490939772, -1.0535285962770455, -0.14490513769759442, 1.3443415580365818, 3.3612029520264888, 5.766230636994751, 8.345987471036986, 10.838536788176128, 12.968574215811111, 14.486948728265771, 15.208282526076866, 15.040411428157762, 14.000478524851774, 12.214576698925919, 9.900523244008404, 7.3362068494348875, 4.818468162657624, 2.6191956662413016, 0.9459035364424373, -0.08663091835032694, -0.4689638855530615, -0.29184950963155176, 0.2754686256082503, 1.0194372569054158, 1.722530703753003, 2.202372673902235, 2.342575669703675, 2.109858505346213, 1.5546532660802057, 0.7955867335318024, -0.008691833064467417, -0.6944660107826317, -1.1275835166009804, -1.230831425990582, -0.9986805217765432, -0.4966559243428487, 0.1542310714625394, 0.8044776864055553, 1.3086549806814654, 1.5565672854297876, 1.4963725188150707, 1.1447749530981424, 0.58218972596617, -0.06597560935100238, -0.6577639502224768, -1.0665487478984683, -1.2092919237724948, -1.0648901124712271, -0.6784848268084269, -0.15071672349576823, 0.3857236602718612, 0.7970021895554041, 0.9794982557644608, 0.8844002973369879, 0.5297556893015213, -0.003030393872564122, -0.5877211016600946, -1.0827742217982852, -1.3651797927873424, -1.3607277124590555, -1.0634247065737035, -0.539094880312377, 0.08824872530717402, 0.6646613814971455, 1.0429947820519132, 1.119680712225356, 0.8627765356993636, 0.32414636448409473, -0.36793489512534894, -1.0350268129594546, -1.488410905309522, -1.5739370363790046, -1.2115287298072015, -0.41975399958745163, 0.6811551724078301, 1.8897872817531673, 2.9641401616982517, 3.6740804175523336, 3.854264536740992, 3.4454078170212505, 2.5138304884750355, 1.2436595253001912, -0.09799107240208599, -1.2163928644465873, -1.8537068825674339, -1.8486163777689084, -1.177560532115876, 0.03241639841413697, 1.5232632470479832, 2.9549810929856815, 3.9745349566985446, 4.290320313530516, 3.7362425105247943, 2.311319945453349, 0.18574129217891558, -2.3285639634751063, -4.837102734821224, -6.939487815804912, -8.307468896114655, -8.747858507401158, -8.237191810881606, -6.921177435871483, -5.079727500500704, -3.065845285591243, -1.2321979844693405, 0.13844138047588675, 0.8840405435867765, 0.9852819433912163, 0.5553843817540086, -0.1980725592178426, -1.0289380965534063, -1.7119375430995953, -2.09169203812266, -2.110481668423657, -1.8096785200549184, -1.3065433137942537, -0.7541433020279453, -0.296000634044229, -0.027795678486156744, 0.024077212266777, -0.09766170284792217, -0.30156903101540444, -0.4810794333818832, -0.5507503930231503, -0.4740468546937567, -0.2741859665067571, -0.024628427924609148, 0.17808731525198185], 'positive_zeros': ['3.19863698954609558208480945523495', '3.38793365266441258219290489418900', '5.16228772771151321421339890439684', '6.47091826696450082960124605514858', '7.924696862454274532208887961966209', '8.824093042800332112938484099472677', '10.16595290732148714822660825282218', '11.74285364394115304776351233516696', '12.42738680724066448203028613554429', '13.25492742956332023337814262102709'], 'prelabel': '2-135-135.113-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.0382583624933082, 'root_angle': -0.021754021160032118, 'root_number': '0.990673201787071 - 0.1362593382522954*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.02175402116', 'prec': 34}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '3.19863698954609558208480945523', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.38793365266441258219290489419', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.16228772771151321421339890440', 'prec': 100}}