{'Lhash': '1972825013879743176654600993168', 'a10': [0.9375468747832765, -3.607198832477385], 'a2': [-0.13384157995707213, -1.407865913883348], 'a3': [0.0, 0.0], 'a4': [-1.9641728629491892, 0.37686199656370906], 'a5': [2.4764847629199553, 0.9013667393166568], 'a6': [0.0, 0.0], 'a7': [-2.5594893059190893, -0.45130702146831764], 'a8': [0.7934591584859946, 2.714852217674969], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.174306050978972, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.13384157995707213, 1.407865913883348]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '648.35', 'coefficient_field': 'CDF', 'conductor': 648, 'conductor_radical': 6, 'conjugate': '980089836276907805318197440594', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.13384157995707213, 1.407865913883348]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2.4764847629199553, -0.9013667393166568], [3.83022221559489, 3.2139380484326967]], [[1.0, 0], [2.5594893059190893, 0.45130702146831764], [6.5778483455013586, 2.3941410032796813]], [[1.0, 0], [0.5566078446989957, 1.529267484801796], [-8.426488874308758, 7.070663706551932]], [[1.0, 0], [1.8838929257156727, 2.24513616228447], [-2.2574263096700946, 12.802500789158705]], [[1.0, 0], [-3.288454163129506, 1.8985898963005658], [8.5, -14.722431864335457]], [[1.0, 0], [-4.309037785399354, 7.4634723760457575], [-9.5, -16.454482671904334]], [[1.0, 0], [1.0700910195147753, 6.068787744310325], [-21.612930278075893, 7.866463296490381]], [[1.0, 0], [-3.8817353073768075, -3.2571626647477046], [5.03579715234098, 28.559424837354033]], [[1.0, 0], [-3.5729975731566803, 0.6300158741533901], [29.13047124436316, -10.602624443095731]], [[1.0, 0], [-6.401786590397958, 3.6960732112607975], [18.5, -32.04293994002423]], [[1.0, 0], [-4.432322275330061, -5.282235995159943], [-7.119575284344144, 40.37711787350053]], [[1.0, 0], [3.7781103665423643, -1.375119715193992], [32.93991105411605, -27.639867216521193]], [[1.0, 0], [-0.25380685489233784, 1.4394102018452657], [-44.16555317693769, -16.07494673630643]], [[1.0, 0], [-0.18098625824945513, 0], [53.0, 0]], [[1.0, 0], [0.2530898227042165, -0.6953585729736086], [-45.196622144019706, -37.92446897150582]], [[1.0, 0], [11.118956946855095, 1.960572107066371], [57.32124986794041, 20.863228742865793]], [[1.0, 0], [10.515877070615756, -8.823868571459297], [11.634427903684333, -65.98211945181794]], [[1.0, 0], [-2.5725326692485706, -4.455757287269306], [-35.5, 61.48780366869514]], [[1.0, 0], [2.6283074273412583, -4.5523620020657045], [-36.5, -63.21985447626402]], [[1.0, 0], [-6.7283130907404916, 8.018491297988634], [-13.718206035687498, -77.79981248796443]], [[1.0, 0], [7.396563762945493, -8.81488143734244], [-14.412798746355218, -81.73904350001327]], [[1.0, 0], [-0.21125926443554466, -0.12197059319066404], [44.5, 77.07626093681505]], [[1.0, 0], [-1.954412503289227, 0.711347976674975], [74.30631098254086, -62.35039813959431]], [[1.0, 0], [3.098134092607208, -17.570391554141068], [-94.90895469937675, -34.544034475892545]], [[1.0, 0], [-4.293008991099284, 11.794945264560953], [-78.90257764125474, -66.20712379771355]], [[1.0, 0], [0, -10.939541383572484], [-107.0, 0]], [[1.0, 0], [0, -6.355769582594733], [-109.0, 0]], [[1.0, 0], [-1.2068418868351345, 3.3157708329315425], [-86.56302207244451, -72.63499989457894]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 12249814, 'index': 20, 'label': '2-648-216.11-c1-0-20', '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/648/2/v/b/35/16', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [1.2852084672851403, 1.440679085155623, 1.5880305220691828, 1.7230660310992252, 1.8370894041014592, 1.9174090896538716, 1.9484188815802428, 1.9130743182685959, 1.7946411362181347, 1.5786317196647202, 1.2548406383399486, 0.8193520517387388, 0.27634227187992394, -0.3605402641417323, -1.0674539375136873, -1.8105250488526203, -2.547064540621331, -3.2279266629095913, -3.8009757419517176, -4.215483887805999, -4.427131296177275, -4.403141551557956, -4.1269793765477045, -3.6019896698866, -2.853382751238296, -1.928082367514052, -0.8921503706749652, 0.17422777198388104, 1.1838957246863262, 2.051391573836348, 2.7022137408040843, 3.081576851905004, 3.161479195373024, 2.9449969442791635, 2.466984693481745, 1.7907808609068245, 1.0010466045401383, 0.1934400675998384, -0.5376409814296624, -1.1116158020155662, -1.4727576996684448, -1.5979743534472435, -1.499962597830998, -1.2249946558409741, -0.8453997458152421, -0.44767559730246664, -0.11795608542739035, 0.07287152810436798, 0.08188560910384676, -0.09762901062850597, -0.4341070877934893, -0.8625046443137481, -1.2954956317813757, -1.6393835148325353, -1.8120602983298586, -1.7597750785510506, -1.4694669935716405, -0.9740261456736862, -0.34900912726833816, 0.29912280223551524, 0.8515228737566827, 1.1990685952799447, 1.2639594105173646, 1.016506026989528, 0.48346811711816035, -0.25426251724813004, -1.0748342069821197, -1.8374631452493693, -2.4093547362036145, -2.6922622270451524, -2.643127100944647, -2.2840899250047193, -1.6990673224073627, -1.0167462776495282, -0.38274844202985664, 0.0737361953920168, 0.27193299510378915, 0.20291712298839323, -0.061389971030953026, -0.3768892617507988, -0.5532819650731874, -0.3931983585518274, 0.26289072498828736, 1.4952180287557966, 3.275972096264734, 5.46051961648141, 7.802145937353703, 9.98910718314259, 11.69795609644409, 12.653246671014148, 12.681748881090597, 11.749767109526362, 9.975101401333038, 7.6101161748699075, 4.9983108124640605, 2.51246423574014, 0.4865831899205159, -0.8444689477234711, -1.385119815914812, -1.1905980897926145, -0.4474835976068028, 0.572286859177269, 1.5736747075028812, 2.303143759620138, 2.6012030596874487, 2.431294339976512, 1.8789651598029204, 1.1222624645572308, 0.38108907026531746, -0.14175388573862277, -0.31319826984302085, -0.1032328739759317, 0.409185979848663, 1.058821526391898, 1.6393675612673877, 1.9593471877537867, 1.8940879314983485, 1.4201317251092236, 0.6229605043074927, -0.3241280154407092, -1.2045570906568626, -1.8147261879353942, -2.0170651050241153, -1.7756906274392894, -1.165022626386693, -0.34894487191137413, 0.46391092075547635, 1.0765903294821475, 1.3564410043472825, 1.2693294714342498, 0.8858378779536321, 0.3576194932827757, -0.12944366459860865, -0.41187913567652346, -0.39857908699678674, -0.09919243164470049, 0.3779566808477003, 0.8585712433710379, 1.1567387587121123, 1.1351627826558643, 0.7530657746440798, 0.08643954649088677, -0.6870990680328422, -1.3363124754728457, -1.6445977022730034, -1.4790041580632298, -0.8390512374348558, 0.13094083032327272, 1.1724904009253634, 1.9807040489959158, 2.2918719323782977, 1.9665826822863188, 1.0436400353274886, -0.2531466403230894, -1.560807999773297, -2.466438438515757, -2.617559193301047, -1.8240284845877088, -0.12258865500755264, 2.2159330798870887, 4.741740757429701, 6.931382173087218, 8.31674678083995, 8.60374542194777, 7.7484508038006785, 5.969334315895823, 3.6913525466375057, 1.4363186631020146, -0.31103678308900745, -1.2249926234556532, -1.2156729404357234, -0.44033519975692254, 0.7528666550557623, 1.9315605119535284, 2.7050640318283747, 2.833243576431748, 2.287539065217991, 1.2478127890438855, 0.03779545365173032, -0.9799997489619438, -1.51734732828714, -1.447039855418938, -0.8375645063667492, 0.0736673773218857, 0.9589346003704876, 1.5052452647656598, 1.5126136594373256, 0.9550284590524211, -0.014278542267836833, -1.1138633939613938, -2.024228235859483, -2.4878185605192926, -2.386939445943057, -1.7753052946790864, -0.8543110668022833, 0.09680906228628554, 0.8129033050725776, 1.1260847310549897, 1.0128592477737943, 0.5904833087564757, 0.06529485290135902, -0.3478120560423012, -0.5057931076680507, -0.38897692153647506, -0.10519010187331145, 0.15517544647032022, 0.19711714077929993, -0.09639109071035411, -0.708104676416772, -1.4789748954381503, -2.1550182369735444, -2.474680094263541, -2.2673088389014873, -1.5275946371236733, -0.43725097615814085, 0.6778547345720258, 1.444901908281416, 1.5657679298681988, 0.9229015521194991, -0.36778613048383324, -1.978203595648058, -3.4606009940390696, -4.384067282290965, -4.471526565603112, -3.6915865766006464, -2.272829313547826, -0.6329371699535428, 0.7565375727546573, 1.5264413826476106, 1.5352873178047954, 0.9200540316140027, 0.05266363848278359, -0.5864964726096095, -0.5781180833422006, 0.2793950520234347, 1.8799724510463707, 3.819991334096537, 5.509589102569743, 6.352627077882035, 5.9389121948750585, 4.186494117898437, 1.3864816704832592, -1.8665756577123513, -4.838995650484768, -6.8664964199998755, -7.541989152858755, -6.824296110406667, -5.035097349727404, -2.747552032219794, -0.6046525858065045, 0.8730402035184036, 1.4291065084068357, 1.1199782340621072, 0.26050959979945915, -0.7090939031719018, -1.3853694511623105, -1.5358623948526824], 'positive_zeros': ['1.55628452629182938158230391681197', '3.35439591133692447693529445732651', '4.65625303091505312555757972772749', '5.81361988427598376015847545375735', '6.07221350904163343952733872513347', '7.31641582145113929091063261146205', '8.084556075649407855247298312676331', '9.349535769862806958000615404511672', '9.725432880368758724867549378983963', '10.21130241839456080063182653573582'], 'prelabel': '2-648-216.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.2747101026238425, 'root_angle': 0.32568078905900555, 'root_number': '-0.4577976363680484 + 0.8890564234826878*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.325680789059', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.55628452629182938158230391681', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.35439591133692447693529445733', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.65625303091505312555757972773', 'prec': 103}}