{'Lhash': '2083303451953451955950699435226', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [2.2122969668445, -0.32518015082508633], 'a6': [0, 0], 'a7': [0, -3.545677699309884], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 27.308837491277906, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-2.2122969668445, 0.32518015082508633]]], [19, [[1.0, 0], [-0.8637597431793923, -4.2724605447052015]]]], 'bad_primes': [2, 3, 5, 19], 'central_character': '3420.2629', 'coefficient_field': 'CDF', 'conductor': 3420, 'conductor_radical': 570, 'conjugate': '418501930945558649126621712852', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2.2122969668445, 0.32518015082508633]], [[1.0, 0], [0, 3.545677699309884], [-7.0, 0]], [[1.0, 0], [-1.81575245447762, 0], [11.0, 0]], [[1.0, 0], [2.7830770142149936, 1.6068102633324863], [6.5, 11.258330249197702]], [[1.0, 0], [6.92193022462161, -3.996378278497093], [8.5, -14.722431864335457]], [[1.0, 0], [-0.8637597431793923, -4.2724605447052015]], [[1.0, 0], [7.300255739138604, 4.214804616144783], [11.5, 19.91858428704209]], [[1.0, 0], [-4.291240457588874, 7.432646500039047], [-14.5, -25.11473670974872]], [[1.0, 0], [1.7087429855743461, 0], [31.0, 0]], [[1.0, 0], [0, 5.506076664478615], [-37.0, 0]], [[1.0, 0], [4.056944651241349, 7.026834259444817], [-20.5, 35.50704155516198]], [[1.0, 0], [4.353730346786404, -2.513627387696173], [21.5, -37.239092362730865]], [[1.0, 0], [-1.1683425449354383, -0.6745428828241677], [23.5, 40.703193977868615]], [[1.0, 0], [1.9220131700341123, 1.1096748211052008], [26.5, 45.89934640057525]], [[1.0, 0], [0.9607744688218776, 1.664110194614492], [-29.5, 51.09549882328188]], [[1.0, 0], [-2.8304659887669956, 4.902510901640116], [-30.5, -52.827549630850754]], [[1.0, 0], [8.043598338767527, 4.643973666140659], [33.5, 58.023702053557386]], [[1.0, 0], [-2.9436452847904393, -5.098543192717598], [-35.5, 61.48780366869514]], [[1.0, 0], [-2.8271581509231383, 1.6322605194771185], [36.5, -63.21985447626402]], [[1.0, 0], [-2.0873884248958223, -3.615462807050736], [-39.5, 68.41600689897065]], [[1.0, 0], [0, 6.302682320202565], [-83.0, 0]], [[1.0, 0], [2.7364568488983623, -4.739682295011794], [-44.5, -77.07626093681505]], [[1.0, 0], [6.912549496356132, -3.990962312507824], [48.5, -84.00446416709055]], [[1.0, 0], [2.467312738456173, -4.273511021167993], [-50.5, -87.4685657822283]], [[1.0, 0], [0, -5.562913997194314], [-103.0, 0]], [[1.0, 0], [0, -9.122513229954825], [-107.0, 0]], [[1.0, 0], [-7.572248121562514, -13.115518474064267], [-54.5, 94.39676901250381]], [[1.0, 0], [0, 4.46090526773478], [-113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 23484226, 'index': 45, 'label': '2-3420-95.64-c1-0-45', 'leading_term': '1.229071845137506743741002236490539462386745295264049414', '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/3420/2/bj/c/2629/10', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 24}, 'plot_values': [1.2290718451375067, 1.4092515697610903, 1.5856745142231645, 1.757720444960875, 1.924622499667739, 2.0854390828737492, 2.239037862920327, 2.384092793411714, 2.519094304698525, 2.642372129160812, 2.752129679589973, 2.8464885038386742, 2.923541077985925, 2.9814100471279645, 3.0183119456719183, 3.0326233988606623, 3.0229478028083028, 2.9881804890787063, 2.9275703975567886, 2.8407763102798835, 2.727915745542041, 2.589604684690151, 2.4269864127923575, 2.241747907107467, 2.0361224105502047, 1.8128770852470426, 1.5752849551428265, 1.3270807148128123, 1.0724003995072142, 0.8157053714066428, 0.5616915687103893, 0.3151854745917175, 0.08102877711034545, -0.13604580803321004, -0.33154461066760665, -0.501345614991341, -0.6418298940793911, -0.7500078978654091, -0.8236364647091116, -0.8613223882411781, -0.8626084639803372, -0.8280381726196374, -0.7591955330758791, -0.6587171778665155, -0.5302743604821287, -0.3785233881535554, -0.20902386732958247, -0.028125131536923195, 0.1571777346226618, 0.3394157868904655, 0.5108424691839708, 0.6636496298354158, 0.7901977696520387, 0.8832541561370658, 0.9362317664241027, 0.9434215419989744, 0.9002101818250682, 0.803275691972295, 0.6507531670209965, 0.44236381071966446, 0.1795010105804794, -0.13473164683391653, -0.4955342168431753, -0.896478361163955, -1.3296300017013631, -1.7857254058169205, -2.2543975581776032, -2.724447788088396, -3.1841558046234804, -3.621619615495986, -4.025115339319797, -4.383465731122587, -4.6864053877881835, -4.924930134622521, -5.091618055912991, -5.180910046729443, -5.1893386400273736, -5.115695194892957, -4.961127293066424, -4.729160338155057, -4.425639824185948, -4.058593460230728, -3.638015214641869, -3.1755762736723216, -2.6842707848738496, -2.1780069618974784, -1.6711565509909199, -1.1780776926860883, -0.712627756902954, -0.2876837024433469, 0.08531215222629912, 0.39676340337329913, 0.6392713778634856, 0.8079127128067071, 0.9004302948944122, 0.9173281095591251, 0.8618639909938186, 0.7399380732840781, 0.5598787813057317, 0.33213231256371417, 0.068865582531919, -0.2165036326823002, -0.5098322870963427, -0.7968135654262236, -1.0635524342234675, -1.2971321806820268, -1.4861485875280913, -1.6211890662465873, -1.6952357158099294, -1.7039738573680947, -1.645991042655288, -1.5228557304489685, -1.3390696194244693, -1.101892833187603, -0.8210465646737775, -0.5083031756603353, -0.17697887795956574, 0.15865123695188993, 0.4839921240122702, 0.78479495015367, 1.0478218366170453, 1.2614797661676704, 1.4163947668197436, 1.5058993006327717, 1.5264088604001624, 1.4776680145263266, 1.362851391061724, 1.1885111543802405, 0.9643691568130313, 0.702958862506295, 0.41912903850387934, 0.1294277751402224, -0.14860867517356116, -0.39723275575885564, -0.5992948685341937, -0.7390493457172659, -0.8029205862770875, -0.7801936100989253, -0.6635957394812613, -0.44974017176002445, -0.1394077198457621, 0.2623502422501669, 0.7462968611353517, 1.2992837756108424, 1.9047062043214888, 2.5431228691295016, 3.19301649998469, 3.8316636160305197, 4.436076507753634, 4.983976164267124, 5.4547525397822, 5.8303681949607125, 6.096163052276363, 6.241521742691154, 6.260370667877263, 6.151479235973919, 5.91854843950305, 5.570079646031935, 5.119026720960972, 4.582244914061614, 3.979759817548984, 3.333888652057567, 2.6682536990771717, 2.00673347181536, 1.3724008768221503, 0.7864989383541119, 0.26750351940538997, -0.16968111964314386, -0.514354006002768, -0.7604444700290954, -0.906712310884525, -0.9567099388877504, -0.918507074740641, -0.8041905075832725, -0.6291629029658147, -0.41127511541758505, -0.1698353439251843, 0.07545471403830321, 0.30558219464665715, 0.5032677424760406, 0.6539176262630395, 0.7464324993170818, 0.7738288210569336, 0.7336381760634301, 0.6280609210520702, 0.46386321205825143, 0.25201988037304207, 0.007119146749078067, -0.2534419215653553, -0.5104306919431646, -0.7438707940660831, -0.9341951245532805, -1.0633984076191019, -1.1161266522179447, -1.0806431408014219, -0.9496161577019512, -0.7206822841764873, -0.39675035140934073, 0.013975499834183816, 0.49826043083585425, 1.038382544912741, 1.6129316648786316, 2.197825110912561, 2.7674898899045606, 3.2961507619115324, 3.7591568012835634, 4.134275753945617, 4.402885959147574, 4.550999902916497, 4.570061441616965, 4.4574700126241185, 4.2167991808188106, 3.857692936968273, 3.395440422517925, 2.8502472772456247, 2.2462386305285733, 1.610243941810802, 0.9704265715249605, 0.35483038270026557, -0.21007874515373107, -0.7007972428468705, -1.0980177725498335, -1.3876437720552466, -1.5615268689638102, -1.6178840114645918, -1.5613683838631622, -1.4027870955458603, -1.1584782163630223, -0.8493788877872698, -0.4998338804560661, -0.1362090740617216, 0.2146139898771872, 0.5267788034914531, 0.7769432669381148, 0.9456331550668522, 1.0183819063684636, 0.9865902977021204, 0.8480548371190195, 0.607132093632631, 0.2745266762502874, -0.13328797404956114, -0.5949856296384833, -1.0855901160314807, -1.577897864134578, -2.0440397328269206, -2.4570928060381596, -2.7926490986392714, -3.0302497089758273, -3.1545999121698287, -3.1564926626010252, -3.0333843314929547, -2.7895863438252735, -2.436058576463126, -1.9898136586948354, -1.4729643163158654, -0.9114672561663699, -0.33363551206914654], 'positive_zeros': ['1.64343664695805878498200762594229', '2.39445469119888632050164458573579', '3.07684342715280196683442519208438', '4.55797217011453390937193239333328', '5.09064925910094507360130467090038', '5.91734324792046595670164659829685', '6.67552246924228014075554073104530', '7.12829532064309513241381247403110', '8.459516407999205574740463388166307', '8.972503053914161277192973858843075'], 'prelabel': '2-3420-95.64-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.225785825239866, 'root_angle': 0.395567544874056, 'root_number': '-0.7923356040194772273504603887888629705400989602069294256 + 0.6100854781119529176804487699831596372719008997383439108*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.395567544874056', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.64343664695805878498200762594', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.39445469119888632050164458574', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.07684342715280196683442519208', 'prec': 100}}
