{'Lhash': '721435246939772204204173155972', 'a10': [0.6592942907319955, -1.141931208687903], 'a2': [-0.18544450731843132, 0.3211993086601015], 'a3': [-0.8948757769144338, 1.4829690974163245], 'a4': [0.9312206694108486, 1.6129215124778908], 'a5': [-3.555210667954188, 0.0], 'a6': [-0.3103788512933226, -0.5624419545204165], 'a7': [-0.12487558165809358, -0.21629085205653428], 'a8': [-1.4325370622482636, 0.0], 'a9': [-1.398394687783577, -2.6541462463810603], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.8948757769144338, -1.4829690974163245]]], [19, [[1.0, 0], [4.076603748054556, -1.543146746536943]]]], 'bad_primes': [3, 19], 'central_character': '171.121', 'coefficient_field': 'CDF', 'conductor': 171, 'conductor_radical': 57, 'conjugate': '4437967660179076015246627298977', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.18544450731843132, -0.3211993086601015], [-1.0, -1.7320508075688772]], [[1.0, 0], [0.8948757769144338, -1.4829690974163245]], [[1.0, 0], [3.555210667954188, 0], [5.0, 0]], [[1.0, 0], [0.12487558165809358, 0.21629085205653428], [-3.5, 6.06217782649107]], [[1.0, 0], [0.8158148169745383, 1.413032712567405], [-5.5, 9.526279441628825]], [[1.0, 0], [-0.6627072737717332, -1.1478426687180996], [-6.5, 11.258330249197702]], [[1.0, 0], [-3.729999220059478, -6.460548161335301], [-8.5, 14.722431864335457]], [[1.0, 0], [4.076603748054556, -1.543146746536943]], [[1.0, 0], [-2.245716110912234, -3.889694403475973], [-11.5, 19.91858428704209]], [[1.0, 0], [4.127251648633485, 0], [29.0, 0]], [[1.0, 0], [4.328714537089993, -7.49755350970186], [-15.5, -26.846787517317598]], [[1.0, 0], [-3.1059905754995283, 0], [37.0, 0]], [[1.0, 0], [-5.549224484965519, 0], [41.0, 0]], [[1.0, 0], [-5.0203162969170005, 8.695442896326286], [-21.5, -37.239092362730865]], [[1.0, 0], [-3.365753587101593, 0], [47.0, 0]], [[1.0, 0], [-0.2541821974533671, 0.4402564803687363], [-26.5, -45.89934640057525]], [[1.0, 0], [10.462410806252471, 0], [59.0, 0]], [[1.0, 0], [-4.141002037679642, 0], [61.0, 0]], [[1.0, 0], [-0.3996749092650131, -0.6922572493574837], [-33.5, 58.023702053557386]], [[1.0, 0], [-5.600511642005653, -9.70037071233479], [-35.5, 61.48780366869514]], [[1.0, 0], [1.8475449170475327, 3.2000416655919532], [-36.5, 63.21985447626402]], [[1.0, 0], [4.927643943090893, -8.534929671042468], [-39.5, -68.41600689897065]], [[1.0, 0], [-0.18525136285296542, -0.3208647726327139], [-41.5, 71.88010851410841]], [[1.0, 0], [-4.010336671044721, 6.946106869706091], [-44.5, -77.07626093681505]], [[1.0, 0], [3.2157725251642515, -5.569881399168549], [-48.5, -84.00446416709055]], [[1.0, 0], [-7.563534346312579, 0], [101.0, 0]], [[1.0, 0], [6.909271288139642, -11.967208914334725], [-51.5, -89.20061658979718]], [[1.0, 0], [-12.011886632745952, 0], [107.0, 0]], [[1.0, 0], [7.625976693985502, 13.208579091319026], [-54.5, 94.39676901250381]], [[1.0, 0], [1.4648126435321305, -2.5371299221669283], [-56.5, -97.86087062764156]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 9636599, 'index': 0, 'label': '2-171-171.121-c1-0-0', '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/171/2/g/c/121/8', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [0.5605811848143969, 0.4384011633862533, 0.3198514115759041, 0.19970901389112863, 0.07355224198393866, -0.061788673693638656, -0.2079349638583998, -0.3647854962217025, -0.5304256970269385, -0.701096570924498, -0.8712237019744762, -1.0335221064220521, -1.1791995700848126, -1.298280032470562, -1.3800617581342969, -1.4137140933592243, -1.3890027237200062, -1.2971175595835827, -1.1315608264845816, -0.889037010702975, -0.5702726458142724, -0.1806843345584982, 0.2691902868642515, 0.7635800717583487, 1.2817551638774218, 1.7987358907339739, 2.286451572098553, 2.715326430274521, 3.056226002839299, 3.2826521003167968, 3.3730318984113636, 3.3129122549828565, 3.096848944480972, 2.7297768758314214, 2.227665050824349, 1.6173008192545175, 0.9351113818798055, 0.22501329751552263, -0.4646230023233441, -1.084705537240945, -1.5895662667378732, -1.9411577844556653, -2.112889646868862, -2.092681681430414, -1.8848458552594745, -1.5104902392467998, -1.0062652811458515, -0.4214351551951978, 0.18655910619151672, 0.7576918214791808, 1.2355809915766924, 1.5737096065920888, 1.7409355330628273, 1.7256020352842465, 1.5376622112521636, 1.2084137819618135, 0.7876920400486541, 0.3386641380232078, -0.06932552813828556, -0.3691294110359998, -0.5044471074743097, -0.43769515442979984, -0.15605160820022435, 0.3252210289262085, 0.9627927729709423, 1.6888578510590326, 2.418088998648255, 3.057286305252104, 3.5166488825273103, 3.721306110122383, 3.6216157116346737, 3.2008000841887454, 2.4787572109104383, 1.5113271432942281, 0.3848707810501648, -0.7933473289396908, -1.9078727327876575, -2.849281159719487, -3.528020727866978, -3.8859515596827348, -3.9038946095333085, -3.603998508002271, -3.0464335167990053, -2.320732803974851, -1.532906971594672, -0.7901343877375999, -0.18526507211452087, 0.21651258799016307, 0.38674190203825703, 0.3369955125820518, 0.11575067455661321, -0.20080277571746424, -0.5226702064601133, -0.7624990408364316, -0.8518795629732431, -0.7547252103219602, -0.47532672877464793, -0.0594665033702851, 0.41191427513683126, 0.8357511205673172, 1.104657174019435, 1.1266260410947537, 0.8432882468710884, 0.24343942156207468, -0.6308029062396779, -1.686723062775492, -2.79266000039213, -3.797086400141312, -4.552236486391641, -4.938458087728771, -4.885136964886313, -4.3844258672056675, -3.495078365039516, -2.3352856269864564, -1.0652864930527581, 0.13765276281985575, 1.1078422585400642, 1.7185140227275748, 1.903102619883057, 1.6665532171593544, 1.084388868839052, 0.28938360844472816, -0.5520875627357247, -1.2700200234953978, -1.721801530286015, -1.818668624881862, -1.5426597900725476, -0.9507434329453924, -0.16508447451380245, 0.6490360830574331, 1.313790640865636, 1.6723201821667955, 1.6189673735608294, 1.1204797125568058, 0.22402366966143686, -0.9497238517449881, -2.22732333931252, -3.4134043129127662, -4.325824387406537, -4.828480325350146, -4.855467667513898, -4.421906838449348, -3.619330814136273, -2.5965677694606213, -1.5299489340982522, -0.5888358859966544, 0.09656546998889749, 0.4585809073678854, 0.5019102896167915, 0.29802311026127715, -0.03455224568225584, -0.35968451489721626, -0.5563406551671639, -0.54725373253701, -0.3170657729203487, 0.08432166415622348, 0.554235161753949, 0.9630561751343154, 1.1877856587849926, 1.1457848930805061, 0.8207859568031182, 0.27467376929308673, -0.3585393068432941, -0.8962809625492053, -1.144306670557229, -0.9394881041387622, -0.18938295495659999, 1.10029666369707, 2.8169991042523, 4.754352602540863, 6.645255535381844, 8.209025051708725, 9.203356853114151, 9.470508089349137, 8.96802540255038, 7.777371287109799, 6.088349566329001, 4.162334854664077, 2.281859515488057, 0.697086394188532, -0.4195960321416425, -1.0013778546257108, -1.0916268256377935, -0.8248285076187527, -0.38869385012524055, 0.023530587426441353, 0.2593564571226093, 0.24117634859535697, -0.01962741693010712, -0.43163472251335233, -0.8528888343266595, -1.1334200344277612, -1.159998659956224, -0.8916255067526644, -0.3763607420641855, 0.2554611002901345, 0.8207998236706486, 1.1296810978276404, 1.0362721967959094, 0.4825754815806725, -0.47668614318592384, -1.6753118567206386, -2.8642626455858555, -3.762371258706624, -4.118233026671615, -3.769238188126878, -2.6838083533824033, -0.9763331686968808, 1.1096547685410272, 3.2472517179617153, 5.091283745173128, 6.34843036643635, 6.836658060434993, 6.520528957551591, 5.51443174122745, 4.053200696939993, 2.437186100316674, 0.964784817248244, -0.13171856127740986, -0.7321232451327196, -0.8457889789351919, -0.5973666651407611, -0.18533866623807568, 0.17545463153443722, 0.31234597483311627, 0.1394877657256018, -0.32252328130715563, -0.9565507348431375, -1.585102193081652, -2.022658077618427, -2.1297938503503704, -1.8543102302408494, -1.248076531530447, -0.45481902845381383, 0.3280516681649344, 0.9033630254473197, 1.1291859792815377, 0.9597042606894998, 0.46030216535014024, -0.2079544706090221, -0.8309738027061377, -1.2004003308109739, -1.1727005087765248, -0.7122073517476706, 0.09436913027454112, 1.0570525317566253, 1.9313768326476486, 2.4845978806930042, 2.5618657385051007, 2.13419792956901, 1.314304696951443, 0.33445661561874074, -0.5094069777462226, -0.933882307918877, -0.7451929053072343, 0.10325630714774373, 1.4888809358155424], 'positive_zeros': ['0.56911206195925288791616412090372', '2.67702049667072121933532786051023', '4.66495175773052982560229352292343', '5.96140750836344195142616118786049', '7.22684239125390928265559356646398', '7.79612172854764699719368373944046', '9.290843747254566778682023556526532', '10.79932563937050731506622538226130', '11.29827623444704876377380193652398', '12.14105786130230347891886656430628'], 'prelabel': '2-171-171.121-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1685212341091176, 'root_angle': -0.4620039258403675, 'root_number': '-0.9716375662884033 - 0.2364750299231374*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.46200392584', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.56911206195925288791616412090', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.67702049667072121933532786051', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.66495175773052982560229352292', 'prec': 103}}