{'Lhash': '1269422322864020868465482396412', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.5, -0.8660254037844386], 'a4': [0.0, 0.0], 'a5': [0.5, -0.8660254037844386], 'a6': [0.0, 0.0], 'a7': [-0.5, -0.8660254037844386], 'a8': [0.0, 0.0], 'a9': [1.5, 2.598076211353316], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.749228945532191, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [1.5, 0.8660254037844386]]], [5, [[1.0, 0], [-0.5, 0.8660254037844386]]]], 'bad_primes': [2, 3, 5], 'central_character': '720.481', 'coefficient_field': 'CDF', 'conductor': 720, 'conductor_radical': 30, 'conjugate': '1333755622687584559398281094476', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.5, 0.8660254037844386]], [[1.0, 0], [-0.5, 0.8660254037844386]], [[1.0, 0], [0.5, 0.8660254037844386], [-3.5, 6.06217782649107]], [[1.0, 0], [-3.0, -5.196152422706632], [-5.5, 9.526279441628825]], [[1.0, 0], [1.0, -1.7320508075688772], [-6.5, -11.258330249197702]], [[1.0, 0], [0, 0], [17.0, 0]], [[1.0, 0], [-4.0, 0], [19.0, 0]], [[1.0, 0], [-4.5, 7.794228634059948], [-11.5, -19.91858428704209]], [[1.0, 0], [1.5, 2.598076211353316], [-14.5, 25.11473670974872]], [[1.0, 0], [2.0, -3.4641016151377544], [-15.5, -26.846787517317598]], [[1.0, 0], [-8.0, 0], [37.0, 0]], [[1.0, 0], [-1.5, 2.598076211353316], [-20.5, -35.50704155516198]], [[1.0, 0], [-4.0, -6.928203230275509], [-21.5, 37.239092362730865]], [[1.0, 0], [1.5, 2.598076211353316], [-23.5, 40.703193977868615]], [[1.0, 0], [-6.0, 0], [53.0, 0]], [[1.0, 0], [-3.0, 5.196152422706632], [-29.5, -51.09549882328188]], [[1.0, 0], [-6.5, -11.258330249197702], [-30.5, 52.827549630850754]], [[1.0, 0], [6.5, -11.258330249197702], [-33.5, -58.023702053557386]], [[1.0, 0], [-6.0, 0], [71.0, 0]], [[1.0, 0], [4.0, 0], [73.0, 0]], [[1.0, 0], [5.0, 8.660254037844387], [-39.5, 68.41600689897065]], [[1.0, 0], [4.5, 7.794228634059948], [-41.5, 71.88010851410841]], [[1.0, 0], [-9.0, 0], [89.0, 0]], [[1.0, 0], [1.0, 1.7320508075688772], [-48.5, 84.00446416709055]], [[1.0, 0], [3.0, 5.196152422706632], [-50.5, 87.4685657822283]], [[1.0, 0], [-4.0, 6.928203230275509], [-51.5, -89.20061658979718]], [[1.0, 0], [-3.0, 0], [107.0, 0]], [[1.0, 0], [7.0, 0], [109.0, 0]], [[1.0, 0], [0, 0], [-56.5, -97.86087062764156]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 13245324, 'index': 7, 'label': '2-720-9.4-c1-0-7', '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/720/2/q/b/481/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [1.2281667395566878, 1.2265658735498277, 1.197990456922477, 1.1358195014561876, 1.030874789575428, 0.8730156126867256, 0.6529705385723912, 0.36416841345478584, 0.004415996194693574, -0.4226937943260306, -0.906764927590326, -1.4301125428288315, -1.9679523207470626, -2.489384198073118, -2.9592321129273707, -3.340713583546706, -3.5988027979100536, -3.7040312459428337, -3.6363572676843883, -3.3886490808632614, -2.9692838971071462, -2.4033849306329857, -1.7323088442269607, -1.0111599613572644, -0.3043347565119445, 0.320630949328713, 0.8003617490299747, 1.0832928589684603, 1.1367035014106774, 0.9521106892108553, 0.5480891054622735, -0.030174323495861157, -0.7148981437529749, -1.4231159097268684, -2.066768677244518, -2.564281450933908, -2.8520582800535808, -2.8941663919108143, -2.688573274247853, -2.268672001127785, -1.6994543240450224, -1.068495474699287, -0.47278470581409643, -0.0032292697304992907, 0.27077104377363953, 0.31406398145369996, 0.13339946383965012, -0.22174132772173927, -0.6658445215787551, -1.091020773094119, -1.3857536794478549, -1.4557817091816192, -1.2434981352587768, -0.7421965949087632, -0.0021076882922598686, 0.8735823199882489, 1.7428384417147174, 2.4472391892587084, 2.839310877213822, 2.8100483555496925, 2.311524407631627, 1.3700201177900513, 0.08656082228079079, -1.3760884464122913, -2.818395231032139, -4.037028877939727, -4.860065970338854, -5.1778941035535055, -4.963743417966286, -4.279481544222087, -3.2649910930580646, -2.112624950315603, -1.0312801366162794, -0.20690539411324083, 0.23276089998041152, 0.2420191733719032, -0.13546931460912962, -0.7776436847005054, -1.511252083090856, -2.1497443061082704, -2.533829194261647, -2.5658887300023183, -2.2305750349619107, -1.5968108758415058, -0.8004967063536721, -0.011621591264905171, 0.6068151675563178, 0.9385332454019533, 0.9428326855994125, 0.6653391711166791, 0.22747755509416684, -0.2034532515037832, -0.4569263490578918, -0.4044672732174643, 0.003631060930553631, 0.7197833987482641, 1.604379201833302, 2.4548295969169147, 3.052472733174248, 3.216655507548118, 2.852940299947093, 1.983126861122294, 0.7486176338190933, -0.615198427517057, -1.8288225675821235, -2.6318299304602846, -2.84458815872367, -2.4134120223888504, -1.427472807380363, -0.10226169937131561, 1.267541536250222, 2.3752816203207163, 2.973791800036344, 2.933746389625017, 2.2743284220759694, 1.158195380341964, -0.14849762624987967, -1.341442963577864, -2.1527385913320165, -2.4159275180119124, -2.1049971048888962, -1.3373614720363503, -0.3401167282447881, 0.6115388604093057, 1.267435971910993, 1.467678571921017, 1.1825865528148942, 0.5166823411436956, -0.3241801368054657, -1.093315535224012, -1.5743898849930704, -1.64323072408948, -1.302678622739105, -0.6803727795715331, 0.01014831703581138, 0.5340639139729918, 0.7069812872918959, 0.4526682581968666, -0.1706442175659351, -0.9840262023347981, -1.7387098780152364, -2.189980857568391, -2.1727159519415604, -1.6559306687600508, -0.7591018419923148, 0.2762545855369163, 1.1532028009088744, 1.6060048171062198, 1.4818067771385441, 0.7928414711597012, -0.27774391918703395, -1.4203532002405306, -2.2829572490696544, -2.5718346640392404, -2.140371152490161, -1.039612747795286, 0.4855705800360853, 2.055617127484741, 3.255616443522247, 3.747719142082901, 3.365008155411628, 2.159878849674999, 0.39259155413794394, -1.5373115709950498, -3.197543813633747, -4.23733040310538, -4.476896795940082, -3.947028340111066, -2.8683472808149633, -1.5778410025077139, -0.4257501670140958, 0.32556585177275954, 0.5703593492964814, 0.37594458990380175, -0.056351172433749944, -0.4713926393039855, -0.6543267219992752, -0.5071303513189445, -0.08219101629680098, 0.43819187047772307, 0.8094323680247009, 0.8164946619479895, 0.35844305868699866, -0.504017751655714, -1.5559571361753424, -2.490407014335409, -3.006519650130957, -2.911950204298896, -2.194954663622983, -1.0403687506066952, 0.218733659083706, 1.200845381531564, 1.5968089761229782, 1.27285628162194, 0.32140137343204267, -0.9591844626486496, -2.152114861601974, -2.8512877794966562, -2.791788581427137, -1.9398745844410707, -0.5123357236142537, 1.0829471549046998, 2.3682808917553166, 2.9420784381539202, 2.6036156933166947, 1.4168948938872807, -0.3070888149644006, -2.1044073853633267, -3.4988053079440276, -4.144077387116475, -3.922991169197115, -2.97186670929316, -1.624399901837135, -0.29483446707532907, 0.6596877193060173, 1.0514569564938665, 0.9123004047197327, 0.4662086882036185, 0.03592989094001677, -0.08242355568863746, 0.26800828470464516, 1.044865649198098, 2.020294261022107, 2.86317484832855, 3.2602244075963704, 3.032323172785158, 2.2038927871036003, 0.9997345857950871, -0.23031932797882085, -1.1324602986337189, -1.4722552142601057, -1.2154201986037572, -0.5359416727516422, 0.2524885767620669, 0.8176785346890916, 0.9387721174239143, 0.5963292838876285, -0.012509367294832706, -0.5424050643583501, -0.6298031120335581, -0.03892904470459176, 1.2296734120688635, 2.9102812056514518, 4.538052170577353, 5.591748012768673, 5.666650021682896, 4.618549142478271, 2.6275953597624424, 0.1570208315506306, -2.182517447545255, -3.81941608853265, -4.396618200326015, -3.877325347198459, -2.545649995122704, -0.9028961736230424, 0.5040124354754272, 1.2624010955660858], 'positive_zeros': ['1.00139764272227101364269385792311', '3.05802772614047974712709437189388', '3.86912304158204033681038489741258', '5.37606225425339136159483735081974', '5.80295349566630215202399716279252', '6.75031775607795694985892920470156', '7.75767531866467805113213700476712', '9.170002270595554644066441672150779', '9.465929525481541844971763147613119', '10.62699894040910626305379731916060'], 'prelabel': '2-720-9.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.397754980295566, 'root_angle': 0.05555555555555555, 'root_number': '0.9396926207859084 + 0.3420201433256687*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0555555555556', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.00139764272227101364269385792', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.05802772614047974712709437189', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.86912304158204033681038489741', 'prec': 103}}
