{'Lhash': 'dirichlet_L_1048.229', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [1.0, -2.8163065144692913e-30], 'a3': [-0.7796743540632224, 0.6261851975383137], 'a4': [1.0, -2.8163065144692913e-30], 'a5': [0.2627073781985869, -0.9648755533435515], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [-0.9895063994510511, -0.14448904956922132], 'a8': [1.0, -2.8163065144692913e-30], 'a9': [0.21578419676780614, -0.9764410788292721], 'algebraic': True, 'analytic_conductor': 112.62324118476702, 'analytic_normalization': 0, 'bad_lfactors': [[2, [1]], [131, [1]]], 'bad_primes': [2, 131], 'central_character': '1048.229', 'coeff_info': ['x^130 - 1', '0.998832226832327 + 0.0483133795255071*I', '\\\\zeta_{130}'], 'conductor': 1048, 'conductor_radical': 262, 'conjugate': 'dirichlet_L_1048.389', 'degree': 1, 'dirichlet_coefficients': ['a^0', 0, 'a^181', 0, 'a^103', 0, 'a^68', 0, 'a^102', 0, 'a^83', 0, 'a^159', 0, 'a^24', 0, 'a^109', 0, 'a^190', 0, 'a^119', 0, 'a^19', 0, 'a^76', 0, 'a^153', 0, 'a^158', 0, 'a^7', 0, 'a^4', 0, 'a^171', 0, 'a^178', 0, 'a^80', 0, 'a^8', 0, 'a^77', 0, 'a^75', 0, 'a^115', 0, 'a^6', 0, 'a^160', 0, 'a^143', 0, 'a^56', 0, 'a^111', 0, 'a^161', 0, 'a^169', 0, 'a^40', 0, 'a^2', 0, 'a^118', 0, 'a^70', 0, 'a^85', 0, 'a^91', 0, 'a^127', 0, 'a^151', 0, 'a^25', 0, 'a^74', 0, 'a^108', 0, 'a^82', 0, 'a^79', 0, 'a^52', 0, 'a^97', 0, 'a^188', 0, 'a^33', 0, 'a^107', 0, 'a^185', 0], 'euler_factors': [[0], [1, 'a^181'], [1, 'a^103'], [1, 'a^68'], [1, 'a^83'], [1, 'a^159'], [1, 'a^109'], [1, 'a^190'], [1, 'a^19'], [1, 'a^158'], [1, 'a^7'], [1, 'a^178'], [1, 'a^8'], [1, 'a^77'], [1, 'a^115'], [1, 'a^143'], [1, 'a^161'], [1, 'a^169'], [1, 'a^118'], [1, 'a^85'], [1, 'a^91'], [1, 'a^25'], [1, 'a^108'], [1, 'a^52'], [1, 'a^107'], [1, 'a^87']], 'gamma_factors': [[1], []], 'id': 202452, 'index': 0, 'label': '1-1048-1048.229-r1-0-0', 'leading_term': '0.816553144374846621977265374865-0.493931490397336804551341608464*I', 'load_key': 'dirichlet', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [1], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'origin': 'Character/Dirichlet/1048/229', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [0.9543203627684906, 0.13739387694371932, -0.8381799888596888, -1.1725081773192176, -0.26289880958681544, 1.7631693088479696, 3.863090029538488, 4.6282864703198605, 3.3365189267395907, 0.678134550142899, -1.599481509749257, -2.0228873138545462, -0.6263404454381579, 1.0775666278729639, 1.486542913514014, 0.4088707182194234, -0.8188165180432496, -0.7946129064976906, 0.37680999126315123, 1.137934665578283, 0.25229544482508093, -1.563198553799825, -2.0896622806042737, 0.06975344818968933, 3.7072805199027408, 5.8827784892262125, 4.786959874064762, 1.6096911427918061, -0.6937052603506977, -0.48412831419938673, 1.0163185648064186, 1.423135621728051, 0.10877384343610227, -1.1273336579465107, -0.42563912938994564, 1.6609172906339251, 2.72489444157346, 1.4969230115157826, -0.4722925576744649, -0.6916791776611586, 1.0754062981167674, 2.4098951521784904, 1.3504372607688784, -0.8388767889933065, -0.9575445722420926, 2.1113421753280606, 5.648782704758403, 6.028663212877366, 2.8925726879263833, -0.5471308865379825, -1.3813886466155865, -0.13054883589185307, 0.6646806898094688, 0.1517523924065807, 0.03040004127846354, 1.5399195922157307, 3.058702021500059, 2.046528764238704, -1.1323501321994456, -3.0178831662931906, -1.3136364047093776, 1.8918856423832178, 2.5034715528501037, -0.4211081585077589, -3.477428023927272, -3.300862023400791, -0.7016130734151331, 0.8644111864315014, 0.1251265795904081, -0.6330726493113508, 0.6749395188118623, 2.6750924384128, 2.5459902924786415, 0.28857622284615225, -1.1461946641210017, -0.20520471820557976, 0.863990785503697, -0.655694726760906, -3.586707434918765, -4.056939112355633, -0.950563102598221, 2.152874993042682, 1.6297044436652706, -1.309024335158746, -2.4046328198914404, -0.27510279561525885, 1.9162651198992853, 1.2152648556258636, -1.0137988975460686, -1.4513669572239718, 0.21208781828770712, 1.2059366219475154, 0.2625758118913195, -0.557721222811588, 0.2546675854601522, 0.38630543492263103, -3.159691289188414, -8.724435475562112, -10.877303697181077, -7.198032581755286, -1.5808017910555225, 0.7930090909549505, -0.2117255727169544, -0.7581387418153255, 0.7645771044260075, 1.8716867073128465, 0.6852444614507325, -0.7212491985857703, 0.28672739268143627, 2.3778880727929743, 2.1213113130632117, -0.48731000025749666, -1.712725424309535, 0.1995974848349989, 2.203896121638258, 1.2228415630733194, -0.8246033254763754, 0.14184610560300895, 3.754347927947595, 5.15893430349041, 2.00823151982028, -2.0088304655385074, -2.4587553709434458, -0.22303958570387084, 0.6134026737107872, -0.8173170475765444, -1.5505833161733915, -0.27965516092924403, 0.48461831889466217, -0.9535085536316017, -2.1707176036646585, -0.6651219563920429, 1.2880113864830538, -0.41114595999866776, -4.8925862771858615, -6.673443803161994, -3.4373637983827776, 0.46448706537270823, 0.3198999216237817, -2.375171547581246, -2.863254874598314, -0.4611986893215885, 1.162629731023342, 0.3406928548505436, -0.4236499828548126, 0.4424257236483144, 0.5153788413477777, -2.1073174196993794, -4.560068571871245, -3.1735172298789944, 0.32817248637735036, 0.9278933669678, -2.0070416704457132, -3.7382080042191483, -1.6776816235122776, 0.6103554599872986, -0.6316211426396008, -3.185668022822415, -2.523087282952652, 0.7823733276904079, 2.0028170774104375, -0.1848155302459965, -1.946437721164753, -0.7806740347348452, 0.8688818941627585, 0.5094782707042315, -0.04436198337128151, 1.4665064438594506, 2.8291269172964686, 0.839804462499474, -2.2095687395841925, -0.8318946319582173, 4.977860825191726, 8.630302390271199, 6.016197816121317, 1.0081197769148467, -0.7981254478065624, 0.2638658899608346, 0.46915827056353687, -0.2789159818202522, 0.856714194582612, 3.3946108014597582, 3.5617584133343105, 0.8576828403450301, -0.6630579505891998, 0.8164931027871926, 1.740277854440455, -0.4304112639064432, -2.194179131924125, 0.42692004770256764, 4.682125211428994, 4.733883639306497, 0.6762739185714488, -1.8144765659466529, -0.4876675151413828, 0.7244751753536172, -0.8493991918460854, -2.140950303238786, -0.18016815861148403, 2.4331326249978362, 1.9963365807759974, -0.034866792767715094, -0.04985559497259896, 1.1366769379960937, 0.18084798363020677, -1.8800053348848085, -0.7404322052738814, 3.173695140910511, 4.136696723550482, 0.23082905776773985, -2.8943129579725153, -0.5613302855093184, 3.742100679994704, 4.119896548400679, 1.161476136144592, -0.27152009046446957, 0.6829881327648817, 0.8480941951537815, -0.23587772262311918, 0.1106288976356242, 1.4338204021928602, -0.12349099829932125, -4.45659335616417, -6.007880057092278, -2.324783112904047, 1.479705375029776, 0.6196017571950344, -1.9909507093745702, -1.2028389959202654, 1.6605609333100164, 1.7082063040031308, -0.6171380778023585, -0.43838603976918944, 2.7398035304799597, 4.069716912452073, 1.751270223936395, -0.22736497507700507, 0.572917098231164, 1.2164866466265196, -0.37643189950132516, -1.2827088336727968, 0.5016971452102188, 1.383069737564438, -1.5701625598319944, -4.246151356045844, -1.4914114858082725, 3.8286815666773575, 4.637853286495738, 0.5967331903282488, -1.9696560719781988, -0.5030927992196078, 0.8316434348155357, -0.5218033314601072, -1.4873558235875781, 0.01675826544960657, 1.0674097294309626, -0.272676491859884, -0.9149161744784868, 1.1668843510701365, 2.310358167459924, -0.30694946932423717, -2.4436191213471243, 0.727823667895471, 5.816945369463657, 5.908437813130738, 1.4434538945480295, -1.0642098559464945, 0.21187318631447505, 0.7682125549155817, -1.1541079647153967, -1.8031621570344505, 0.28994084712837886, 1.272445860309694, -0.5768744818412138, -1.2361776063274326, 1.6608083719389142, 4.116590064724002, 2.701318987709726, 0.31506851845184725, 0.07928350589442434, -0.868732179502118, -5.324315389400481, -8.702691647568946, -5.229612938927537, 1.944853502662232, 4.69114065923767, 1.9081729983937856, -0.31520393506887184, 0.5942338550023132, 1.0579370480032333, -0.45574626539355945, -0.7928742506236597, 0.9087476931812429, 1.2676798682416242, -0.1991069372170504, 0.5843541367927085, 3.985491562481791, 4.210702958350988, -0.9901308343331262, -5.321233871184018, -3.6212557474817406, 0.025212122279910217, -0.24592262328354308, -2.470877187442865, -1.6520383819653155, 0.840885431324923, 0.44416419738272833, -1.702109969440299, -1.076241299216733, 1.5387710372838845, 1.6721520693571128, -0.31836026597363914, -0.3426858076635678, 1.0597436184888236, -0.24869295900438243, -3.1541828499736937, -2.157401538013387, 2.4361978290249846, 4.002045201287081, 0.7747395993323504, -1.264272977772937, 0.7849726450851219, 1.7912062325390843, -1.6848983128069717, -4.95434969087823, -3.4770961976834784, -0.3176154294594972, 0.17021344543834957, -0.41045480400695505, 0.6730500985661472, 1.3444765546280488, -0.2325788436052645, -0.5015897185737038, 2.8911819898439988, 4.882503824024695, 0.8273531257754165, -4.442007558257037, -3.6093995279316524, 1.2444045680938975, 2.5278950395064577, -0.3758121641743954, -1.7115782384480323, -0.1468482385908519, 0.4714111467970246, -0.10056578539313374, 1.643816279310111, 4.653591966999357, 3.9746249149516215, 0.02313433173373117, -1.5556251125868346, 0.18111462919684762, 0.5156789609337941, -1.224950062857442, -0.37757969246435374, 3.1116181286352247, 3.1676236421469657, -1.2939093647459843, -3.2778305187136825, 0.545282987395976, 4.119245869305097, 2.5145967979460266, -0.47304379372953703, -0.3536839592667199, 0.5568425203900611, -0.6863967261901509, -1.5171336099723554, 0.1827028244943689, 1.0204608552248493, -1.0812383802272048, -1.9692875423460656, 0.7087556047988358, 1.7523392967285134, -2.461585877957962, -6.197351643851521, -3.490921851562828, 1.4682555993294755, 1.5319005217658392, -1.6566780577915041, -2.004307749854858, 0.02805163469961714, -0.050291899414521196, -1.5118537978620625, -0.8252650889946573, 0.38639071999022867, -1.2718232398019123, -3.129191480357947, -0.8892025136507568, 2.5590763098863967, 1.8778169544280119, -0.603656459462667, 0.900933353715948, 4.494304868738976, 3.855248483283758, 0.047622592890969165, -0.5196390480181562, 1.934418605968225, 1.42513248766546, -2.0708709937822767, -2.5407601177178245, 0.7322779077073389, 2.1652566040778183, 0.31932715781377896, -0.564220244017972, 0.44597123153404306, 0.16041081262373036, -0.7181011784560372, 1.2467071361851727, 3.304116381852081, -0.6310262989912943, -7.980725669414072, -9.353094613222627, -3.316594238197051, 1.611639350119446, 1.0546110667874722, -0.20639294795322632, 0.8705142927064451, 0.8209381151982665, -1.4969231636687959, -1.8345955135433134, 0.6703971458364252, 1.3997116773420872, -0.5215639791492025, -0.5816253323061928, 1.4519011635228967, 0.3896082184346678, -3.70545283591631, -4.300309365770667, -0.32980098355716775, 1.4771158917898, -0.9903300724980479, -1.5733333499719195, 2.0647639379903384, 3.837956179574629, 0.7256049357432868, -1.8638590001029194, -0.4949739334649498, 0.7704174163112496, -0.5616468428928791, -0.8186480322199619, 1.333573292725909, 1.5972783919573985, -1.0076675780732423, -1.6882218496685673, 0.39010012977897046, 0.1849804266321381, -2.3901870244251926, -0.8102380340340214, 5.351123088952689, 7.529230269273753, 2.293086654455077, -2.809199614471868, -2.132326820626269, 0.17981798386190695, -0.16025362112997954, -0.6622670693350541, 0.5162033886469951, 0.3834150992698808, -1.3184380201558499, -0.2582377609909816, 3.1543421699039698, 2.789642968790149, -1.7154621768917324, -3.2556203187551445, -0.027051096299936343, 1.3333090821299336, -1.509343218333918, -2.4982964810772437, 0.6430714790288765, 2.020511783125901, -0.7645153883590706, -2.161726403244994, 0.16855806114243874, 1.0350941327631316, -1.6439387236177325, -2.842922100624256, -0.5168894530533961, 0.9333096797980784, -0.025320285850686776, 0.06455269993964917, 0.6667122298797169, -2.560389284682479, -7.208602900744099, -5.749248899019804, 0.8386547379219718, 3.3699185307552746, -0.1860365297358599, -2.1872079811251806, 0.38236025016372455, 1.856662902859328, -0.09198140099356593, -0.819294966374089, 1.0364971511595868, 1.365878625840845, -0.07462246335253389, 0.6914148689258931, 2.6259253053494787, 1.2178985041346764, -1.5448118938985145, -0.26722610300008226, 2.421750405537547, -0.2422310431290251, -5.774021447628886, -5.722152323061964, -0.48810114133518145, 1.9500383195914324, 0.1823364121485944, -0.4763297532725531, 0.2106463490032961, -1.8866429614195601, -4.93271347026001, -3.699406907474833, -0.08926429464654895, 0.2343579124109788, -1.531563278850827, -0.8573981126959793, 0.4106753995563837, -1.4134131175923226, -3.05171182816547, -0.8254351882298365, 0.29745766295285647, -4.618582867223827, -9.612925564806783, -7.14887954810771, -1.3213282434625058, -0.2905236829657302, -2.571875262296555, -2.0853058748268967, 0.16494360501587835, 0.11482012400972261, -0.6823179137897771, 0.07913392782006884, -0.5343973388402761, -3.4969931719523517, -3.3116653249418158, 1.6499948649470009, 4.0932406527559975, 0.3869279600013069, -2.535939234219277, 0.035761029920939706, 2.446963638513975, 0.4376120033860407, -0.9087744962609311, 1.8655439692724083, 3.5177489046496877, 0.7764375843923165, -1.4118291018055753, -0.12954411793652662, 0.4088347932129996, -1.396986617119453, -1.2809516632948612, 0.972305218631023, 0.2592998345064247, -2.9492043244338686, -2.720307076732828, 0.3368986638826984, 0.08142810876797182, -2.198086684596297, 0.4208058850399126, 6.255779526530772, 6.783929513912837, 1.9447267238406534, -0.3345854191539065, 1.280332446726257, 1.0905429466090655, -1.2934418933502247, -1.3065117614119544, 0.2884669929503378, -0.40011104573067674, -1.502038975457674, 0.21659394899308465, 1.4669439265166124, -0.4119047601496612, 0.2805344339321793, 7.251881791616746, 12.619635832621483, 8.940508872930174, 1.9049117867332228, 0.08213654062870662, 1.4642278016078853, 0.6905817067296282, -0.3103934814877438, 1.1024477745256291, 1.132877936575469, -2.1012424845576607, -3.2206690342211846, 0.100173952623612, 2.190717742884888, 0.4186762346145801, -0.44979528579260364, 0.8857602370220381, -0.27825584595083264, -3.2615920385475654, -1.6996171373060909, 3.173856544327011, 3.1933075704455742, -1.413479641177728, -2.016165435491139, 2.44865473977407, 4.222952278973866, 1.4355931574190222, -0.2440194211456847, 0.2359574091092068, -0.9343510260094459, -2.5972122739349692, -1.157691231729918, 0.7133274729603707, -0.5227132722921727, -0.9571554031401813, 2.6069288432142383, 4.093728596923346, -1.0403726829875726, -5.737279759922993, -3.2722519257513376, 0.9159680906080475, 0.13067217433725511, -1.7590033535504153, 0.3001516043504112, 2.541400990058342, 1.1125718804945552, -0.3509087076209021, 0.49599113758141256, -0.1460943373713687, -2.693821178530607, -2.023896829795831, 1.4100473822083623, 1.2784475091896526, -1.8559985107092212, -1.2332385304850269, 2.325146206318717, 1.8483094591936475, -1.5822672915489127, -1.0359283690793046, 2.0302379579524317, 0.8390124090163996, -2.596627597843214, -1.3026491349452618, 2.776359813747069, 2.809325532781473, -0.02293491478703438, -0.43175048481310413, 0.4766531051291313], 'positive_zeros': ['0.35415821142505972523021132246', '1.29941451410035513196747600579', '2.890465484512141227846655838222', '3.853787966735996748630750404704', '4.77600722796211950221073045995', '5.53507379862912107227149309992', '6.295698914247735049819926914966', '7.180905681282006817581401624451', '8.61858013370044395012044952326', '9.167273011806224553664069979419', '10.0201552682820078692295684683', '10.69574078335649633776569553935', '11.78597182536902159257363044202', '12.334078535636478139724463606284', '13.30781231341068243455393947847', '13.878624592727385967961810692693', '15.2483164700187607215563423070', '15.967062829720269627097366172605', '16.63942150585711146259916511475', '16.86075358298159991084208349853', '18.019161760310258795706279145805', '18.87217495353154760358727829828', '19.65228474281602697379908412339', '20.71668527913087524983448967872', '21.28056905359241205335012884961', '21.7668460483649078690168810269', '22.85137897613988010137601604527', '23.477383669075000898865912180274', '23.98204548787711400062647523151', '25.07654454330338303812561062031', '25.80080136024560159317949587997', '26.59233790807653459024206696308', '27.35196339068941505569198251304', '28.08954690252813154912971868564', '28.81182900310356896307068428531', '29.30606719479784324951682358822', '29.75083646293448061917367352748', '31.38513242481506643488555468665', '31.82977612388273667702875811201', '32.37289653668731841055071556878', '33.240364854453125197341310749754', '33.70582705915252534246296064552', '34.631330035318344073555582459', '35.289473674602142239304105525987', '36.09945112677882441538612967723', '36.54674953278790009574865682955', '37.63801486030639830316327247706', '38.47202873794803364748299800289', '38.91239798346765037736372500837', '39.74556064597254467836921753917', '40.150443278888842420147127670517', '41.01959051482829967361745786620', '41.527016291641735815205766255409', '42.75737640391235584165054737322', '43.16694874007140520400360917924', '44.11869990587737670318754329313', '44.76998083663768797496665715897', '45.190105822753578202785009708529', '45.71501034494382564033243548496', '46.839942652946173551228883463394', '47.30952926470386293783111692915', '48.31079380846957103533596527333', '48.67081740269828815405640059011', '49.6123308699984231058060448895', '50.29174672250892969463095536747', '51.05606369792501003472605009121', '51.73855139173835816677075756776', '51.90107476051476334467312312188', '52.88639460201665314039267114621', '53.49212995361571945511911452725', '54.78196472628647144033236092251', '55.24521409517031585808529158358', '55.79127385595130649451784516737', '56.105739225881770521909205151016', '57.292970004722688491598990728584', '57.684892984137394809004933549936', '58.39157952659473021198566299407', '59.03199328471684475259347638404', '60.05221292292918880510489968014', '60.69922979840820799806828245148', '61.1273958771100024901229687323', '61.89301683801264664367409755141', '62.80481263117307397018104087354', '63.1379049207585812237108048837', '63.775120336408608042494812619894', '64.43988366192799754440928401746', '65.32765815930265123636689721740', '65.97563506498912414643824937777', '67.04114460203102030641770223822', '67.31771165911548986362409077587', '68.04706106328629360486933245193', '68.41130065121130396068301278392', '69.05156651615486533146500955207', '70.15565075508012731256632961158', '70.6907810680240050810181118602', '71.37528605742262918666915592212', '72.09761525695782519777455029832', '72.5539978297674643566082258789', '73.67128756064003328784436705962', '73.92940138505223376860981647602', '74.62900441830224188479176497042', '75.243859190731265620629451696903', '75.80848050177963958039566833768', '76.646365087631980652769816165720', '77.54402713358570643981903310553', '78.196176633630117908248458711735', '78.66424927995783947777055642941', '79.37235301158830528647267154390', '79.951887206101115718348476875384', '80.48090239219926330974461464121', '81.22298038472491069980479149165', '81.83135841394798590049711592476', '82.927871125630393601910232054519', '83.4009539176371394603541271056', '83.89786521649624877701467172561', '84.64957783457683734003597131996', '85.231986964469830851621138314024', '85.790618373310140616820432258169', '86.99696018661834407066635598155', '87.09946730191433997678019833581', '87.34548942119543894980501717095', '88.65915257332368464728018308106', '89.589769098665689697324111346882', '89.86872315620075422897077725364', '90.53987421620983178972078234627', '91.09683836869532038060643189048', '91.82418556843459450483605863426', '92.10644225028146466572136731300', '93.07539118795940945229061457333', '94.05885031118262269030776412861', '94.33807417989220384937514359741', '95.18840823903491569103390128342', '95.68701452761740244723110512405', '96.374962954272263984242443424440', '97.13005222462096687009775318406', '97.57000635092755558475738256569', '98.09783080363461575242098162566', '98.90175727130977079648329208194', '99.75505650909463576096516686727', '100.223620463942513305637159333896', '100.81871000807146489644186436742', '101.93025200039213651564839910947', '102.25199742690548802095091545607', '102.669186459850515921668426114109', '103.3985332684529305154853373160', '103.81873819854160227320080383969', '104.72886817347906939598941769797', '105.539849966572149715029748320227', '106.21251474500323590917893943927', '106.903213063647912021806073832573', '107.38946264941051951275994832803', '107.567047433728706499931476164864', '108.751998792987847534291793315906', '109.345059534862872974630708565676', '109.78603027382025223756039937470', '110.35032367250762055754783314917', '111.16645444787473230545665093657', '111.84168071173170528651229317326', '112.74072047899849885302434691723', '113.20554202914375497016122879688', '113.62606942345454978394821494228', '114.348067443622950791703503608407', '114.86718584027863774777806097507', '115.555919176532759629311189809712', '116.10286723080489261544675957447', '117.075575075226304933731619433', '117.64784804145050140191301259085', '118.43167476225166780552065248046', '118.738931839602073805108917304323', '119.52889543638023486067817210474', '119.82816493007157961343750777300', '120.693498049927653372234311203310', '121.45644478512243560925013006708', '121.78715479749720271477471226223', '122.81748313865720053678607394722', '123.198799918590131720839376936244', '123.88050732087254744964961092687', '124.621642601535067504833442175183', '125.36361966681088628344858622248', '125.80658347791370718225338697889', '126.28922999763177302961698966552', '126.73636221626817336717630180605', '127.47129887783385485557262919699', '128.60482999458124016266177735508', '129.25216202821982177900706627134', '129.48398805150998802563486664824', '130.12224201761329496182276658456', '130.857779737764297059537186765010', '131.47975066993499328020553594492', '131.965972521099793568734042483100', '132.533655829084861972974521869397', '133.46348808378842868888501441875', '133.95743683352951101523929495650', '134.53169852819647234764550137669', '135.37017743112682891752306471711', '136.00837803257283029612330889784', '136.459253528907973044341469892983', '137.008660970748489504919485983181', '137.69890554309324325701419970965', '138.376323052621760991561926392294', '138.77465762479516604682897255125', '139.42322218226587311714078549803', '140.42180596149421677608935394510', '141.20715775816645766861701465380', '141.5182283774031782585298721741', '142.0650285573305226592231592003', '142.57128387861527567945630083790', '143.1503370732564996557756271094', '143.94806544042103475623834868668', '144.68990219779432951938052763567', '145.1706862281527553229452700458', '145.88129464183536379379413651154', '146.49095766409064179966266479201', '147.16792155804812196312514226380', '147.646020433809419166854072549035', '148.50027028543410411735371511802', '149.05454015051009270091760121519', '149.355484491073622062374494631139', '149.80529428009094263143492404919', '150.89581947110935770877918083599', '151.54872875111622052293174267839', '152.15030040290624937983743740918', '152.7996947347448402394949856554', '153.27914761220933431160818324665', '154.03780194820437042453339820995', '154.248139925912132194276367077423', '155.115821895827720666839978978492', '155.65012430550857086445617472086', '156.23607384310031739149269145378', '157.219162307097681917594578659466', '157.84237089636397835802522112090', '158.283781660122282921411528298787', '158.522519079959336078589323677019', '159.69878583174427663237054041521', '160.041675829632505799641977013051', '160.77250848977931453736017416014', '161.06904229217350457228466357685', '161.96800048420690093947560679624', '162.22677506085182941992228487799', '163.60302896477696899503050006590', '163.677951483035015741990787583821', '164.65446186266320815529462708145', '165.03120340121334113280577929791', '165.59616144426211283027073261598', '165.8447307845876178965357298570', '166.78065559406190764491329440331', '167.52500302915509404899544256626', '168.1221343591072016770274679379', '168.79831433179875191313585264328', '169.20262594885107524411761436198', '170.070724180229569456751084405544', '170.6480314271831821898255477996', '171.02536326280491275875712424296', '171.732047107401389364025290488722', '172.21466183331974620135842633072', '173.08166052679224116535913968332', '173.44784347991368971082635605970', '174.038154443950130424444719138670', '175.173922201196523997263062422093', '175.41138331631518479826504250647', '176.078027016012130945146823522943', '176.79479169444325815374508457184', '177.108921013305354500595038649304', '177.78506939358028361191777631965', '178.37825521750745635878565422144', '178.72773998363952642218487322488', '180.21361443324644183658549762407', '180.27733184936195672100763823536', '181.07174522519157688093658880483', '181.3607788704262205201846325354', '182.002880448208774727697402841017', '182.80444483771919336446618258127', '183.50057166718737932151004999793', '183.864362023600254401899085761307', '184.34510572184292641115077532414', '185.106556587543261946476428247005', '185.8396353942441579343738168861', '186.40459528885002534521403762034', '187.38032834778126047101335763925', '187.66470410167004292003363851468', '187.95887743255727290274938776476', '188.89415775418720279046868120011', '189.292142435675807636076791292339', '189.79906690588576714173374184490', '190.57674617633449732015913650102', '191.46407705371924609588511739863', '191.89014403178185253297958173925', '192.47139554996463029677697652986', '193.29381814032635430200738080465', '193.606826919208971637803864579948', '194.041442609566664592311072672801', '194.86427855917333452755831285785', '195.43691888155765939496803898365', '196.04250680802846543121347795543', '196.720050969065504969530297179573', '197.28381256885721661224705958343', '197.88086696559481273126871095321', '198.53205381869015515794309050776', '199.371650614694903581035102488877', '199.80480866540088014572380326150'], 'prelabel': '1-1048-1048.229-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 112.62324118476702, 'root_angle': -0.173164812626637, 'root_number': '0.464234129079911107883233936361-0.885712522999091636904865750337*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.173164812627', 'prec': 50}, 'spectral_label': 'r1-0', 'st_group': 'mu(130)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '0.729752834355490907393884689629-0.0358762725140461796443276732538*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.354158211425', 'prec': 47}, 'z2': {'__RealLiteral__': 0, 'data': '1.2994145141', 'prec': 40}, 'z3': {'__RealLiteral__': 0, 'data': '2.89046548451', 'prec': 44}}
