{'Lhash': '948875473735874985774687342701', 'a10': [7.811792306225331, -2.3082278156376108e-60], 'a2': [-1.077806356841701, -1.8668153707705375], 'a3': [-0.6352987177042219, 1.6113334661960483], 'a4': [-1.3233330856967598, 2.292080139763687], 'a5': [-1.8119656320074622, 3.138416536205576], 'a6': [3.692791078566743, -0.5507200416168188], 'a7': [1.135298717704222, 1.9663950608315084], 'a8': [1.3939618205648403, 0.0], 'a9': [-2.192791078566743, -2.047356169736497], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.7905189800106762, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.6352987177042219, -1.6113334661960483]]], [11, [[1.0, 0], [0.5, 0.8660254037844386]]]], 'bad_primes': [3, 11], 'central_character': '99.67', 'coefficient_field': 'CDF', 'conductor': 99, 'conductor_radical': 33, 'conjugate': '3521035846993578638411758113949', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.077806356841701, 1.8668153707705375], [-1.0, 1.7320508075688772]], [[1.0, 0], [0.6352987177042219, -1.6113334661960483]], [[1.0, 0], [1.8119656320074622, -3.138416536205576], [-2.5, -4.330127018922194]], [[1.0, 0], [-1.135298717704222, -1.9663950608315084], [-3.5, 6.06217782649107]], [[1.0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [0.6191745534407193, -1.0724417853130968], [-6.5, -11.258330249197702]], [[1.0, 0], [-5.696807584500289, 0], [17.0, 0]], [[1.0, 0], [2.894528699423368, 0], [19.0, 0]], [[1.0, 0], [2.9586318034009818, -5.124500604379634], [-11.5, -19.91858428704209]], [[1.0, 0], [-1.7544732711449411, -3.038836846144605], [-14.5, 25.11473670974872]], [[1.0, 0], [-1.2544732711449411, 2.1728114423601665], [-15.5, -26.846787517317598]], [[1.0, 0], [0.3339603347453988, 0], [37.0, 0]], [[1.0, 0], [-4.983702509954367, 8.632025957049501], [-20.5, -35.50704155516198]], [[1.0, 0], [-3.577806356841701, -6.1969423896927305], [-21.5, 37.239092362730865]], [[1.0, 0], [-4.348403792250145, -7.531656300002432], [-23.5, 40.703193977868615]], [[1.0, 0], [-6.165126134831811, 0], [53.0, 0]], [[1.0, 0], [1.4586318034009815, -2.526424393026318], [-29.5, -51.09549882328188]], [[1.0, 0], [3.135298717704222, 5.4304966759692626], [-30.5, 52.827549630850754]], [[1.0, 0], [4.6814236248774455, -8.108463570041], [-33.5, -58.023702053557386]], [[1.0, 0], [12.123017733592135, 0], [71.0, 0]], [[1.0, 0], [-4.312705836648121, 0], [73.0, 0]], [[1.0, 0], [0.7083483639717177, 1.2268953558573068], [-39.5, 68.41600689897065]], [[1.0, 0], [-1.3784045351598653, -2.3874666882802478], [-41.5, 71.88010851410841]], [[1.0, 0], [-4.771164314266971, 0], [89.0, 0]], [[1.0, 0], [-1.279543977698326, -2.216235179892279], [-48.5, 84.00446416709055]], [[1.0, 0], [-9.166806841590569, -15.877375192804854], [-50.5, 87.4685657822283]], [[1.0, 0], [-2.281224684457083, 3.9511970569599475], [-51.5, -89.20061658979718]], [[1.0, 0], [5.110142898926211, 0], [107.0, 0]], [[1.0, 0], [-4.678914499920524, 0], [109.0, 0]], [[1.0, 0], [-0.7658407248342388, 1.3264750459182777], [-56.5, -97.86087062764156]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 9598327, 'index': 0, 'label': '2-99-9.4-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/99/2/e/e/67/2', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [0.46263924983604343, 0.405427390652727, 0.3462550428942783, 0.28084948689287703, 0.20443833986969817, 0.11200907511491993, -0.0014752053622789456, -0.1408970402552864, -0.3108176900023244, -0.5152970408879174, -0.7576852101238386, -1.0403822467741108, -1.3645719729493533, -1.7299432479931924, -2.134417245656592, -2.5739031847998115, -3.0421075208081865, -3.5304227870811817, -4.027921813669229, -4.521480636518575, -4.9960487842737775, -5.435078647481881, -5.821116332093975, -6.136545031916094, -6.36445902938448, -6.489632714298318, -6.499535499787659, -6.385331412867133, -6.142792762910569, -5.77305198195324, -5.283115712520025, -4.686071465266597, -4.000930253660549, -3.252068573743211, -2.4682593271267637, -1.6813124715343002, -0.9243803044915849, -0.23001668702551117, 0.3718889397001558, 0.856156581542088, 1.2041778463169315, 1.405430025124732, 1.4584882057724013, 1.3714084107879623, 1.1613967771847271, 0.8537349027703608, 0.4799959687909261, 0.07565489409328746, -0.3227378156347574, -0.6805917493978237, -0.9682542655911807, -1.163644463780543, -1.254266859142046, -1.2383668275712179, -1.1250574649857505, -0.9333400569752069, -0.6900506547444301, -0.42688315738708, -0.176752533975593, 0.030142879068654316, 0.17013652006219002, 0.22933970919660426, 0.20589806855647108, 0.11091460596825692, -0.032179418960602495, -0.1898617132214133, -0.3222340751333007, -0.38789593298167874, -0.34948664663519, -0.17927855906855916, 0.13586371339899342, 0.590832213000617, 1.1605138285213805, 1.8003247697629203, 2.4492069563362797, 3.034966205343534, 3.4815331217542105, 3.7174514315091383, 3.684682059956266, 3.3466876379013417, 2.6947558908992453, 1.7516435052774961, 0.5718710638227319, -0.7616455909049157, -2.1445173895083585, -3.460800576227376, -4.594941696607908, -5.444455379004062, -5.93185646162526, -6.0143572015980835, -5.690018612034563, -4.999403695245783, -4.022286011355231, -2.8695638684099856, -1.6711461133949157, -0.5611297218075141, 0.3379957680050887, 0.9301709592367517, 1.1577044729649966, 1.008703391365092, 0.5188940864379067, -0.23257509915892122, -1.132976559963749, -2.0503528670813407, -2.8505907151362346, -3.415011650642452, -3.6561344290145237, -3.5294470524828663, -3.039518493366724, -2.2395236379051733, -1.2241535055184634, -0.11681244443693302, 0.9471693480756054, 1.8389807818545378, 2.4538302039698254, 2.7249995141334518, 2.6324231536429084, 2.2045478225394253, 1.5132154085337142, 0.6623546302879509, -0.22779314661626182, -1.0385004191339862, -1.6696968575749334, -2.0537975195198666, -2.1641066070790624, -2.0165541388292274, -1.664600599476578, -1.1882611481405467, -0.6791722993216764, -0.2242845580379915, 0.10900421814986684, 0.28370736754794873, 0.2982277082910877, 0.18461708639917698, 0.00047899366122444357, -0.18396437884396344, -0.3012082173540972, -0.3012808499797921, -0.16314803750152587, 0.09961653916476006, 0.4401949062726966, 0.7869173015217711, 1.0573187204670376, 1.1753315978765848, 1.0883471142880434, 0.7807218862196473, 0.28079561185461205, -0.3404372448018384, -0.9793611467256604, -1.5171773571401859, -1.8419236793405445, -1.8711669968116147, -1.5710390367780491, -0.9676534614243109, -0.148080900839635, 0.7501940959700623, 1.5603393400377648, 2.1147385023667926, 2.2764128191630686, 1.967791492683726, 1.1914002713629426, 0.03811056307839804, -1.3194775910598264, -2.648457298412608, -3.689154633062586, -4.195804677071022, -3.977848633999864, -2.9348794479286773, -1.0790150662255178, 1.459641483871557, 4.446077198185717, 7.570497569957185, 10.491079012963427, 12.882656306184096, 14.48350875827236, 15.132607451771399, 14.791224938387169, 13.545436774425244, 11.589304432190268, 9.19183926704724, 6.653606377280471, 4.260528418207903, 2.2427775761062083, 0.7455388427795724, -0.18390027693206923, -0.5913855694564872, -0.5954011110888084, -0.3556327323168414, -0.03723473554634735, 0.2220388734616366, 0.3355831340178967, 0.27844222596637547, 0.08333358800389701, -0.17595853296889805, -0.4093673167375225, -0.537449833624105, -0.5140907440168102, -0.33978960258526925, -0.06256378646230083, 0.23361221946377667, 0.45001237409744077, 0.4989247541833944, 0.32776919383641745, -0.06435677678431483, -0.6219772494809754, -1.2419876644040875, -1.794355988496801, -2.1504309891059346, -2.212581119395079, -1.9383360366041016, -1.3532017061167831, -0.5486940183725197, 0.3346078247146954, 1.1357583122672186, 1.7078375900408183, 1.950428227907725, 1.8326881786258462, 1.4013701950354482, 0.7713468899348843, 0.1001066441651764, -0.4485711199270611, -0.7438320928618206, -0.7208926815141409, -0.4001198399752205, 0.11311187291725376, 0.6487914141441614, 1.0092918461871772, 1.0154638133993228, 0.5517462682125717, -0.4000893935841902, -1.7469473077945616, -3.294568126462157, -4.78107486084326, -5.927884849809517, -6.497805827154789, -6.348033191347668, -5.466282111310219, -3.981415928067806, -2.1450840205851454, -0.2869987916545942, 1.247748535924991, 2.166789477721414, 2.2898962853239033, 1.5870639520431917, 0.18682402763430653, -1.647502558447489, -3.569145732307427, -5.216434337553899, -6.284401630454371, -6.584541765215344, -6.080268618642816, -4.890794906753147, -3.2629119834779488, -1.5170293856931922, 0.02068963187830707, 1.085398436483654, 1.5255309496657667], 'positive_zeros': ['0.74853076515329875380635694454886', '4.67025176343136594905340310928616', '5.89825725737881031304735430164611', '7.35431802402363051393858774594864', '7.974017023043989234759629850325178', '8.702901172203196726415357815155206', '10.30483925835444743127085595538863', '11.94849774078633707559539573124353', '12.58971666681266366980497958139684', '13.88820550180425615922470065801634'], 'prelabel': '2-99-9.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8891113428647034, 'root_angle': -0.1582345727124117, 'root_number': '0.5451593514454875 - 0.8383324409394732*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.158234572712', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.74853076515329875380635694455', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.67025176343136594905340310929', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.89825725737881031304735430165', 'prec': 103}}
