{'Lhash': '1750519683989966497528238180232', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.766044443118978, -0.6427876096865394], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [0.17364817766693036, 0.984807753012208], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.652903321840504, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0.766044443118978, 0.6427876096865394]]], [23, [[1.0, 0], [-0.5, -0.8660254037844386]]]], 'bad_primes': [2, 3, 23], 'central_character': '3312.3265', 'coefficient_field': 'CDF', 'conductor': 3312, 'conductor_radical': 138, 'conjugate': '591967719379799415117692122058', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.766044443118978, 0.6427876096865394]], [[1.0, 0], [0, 0], [0.5, -0.8660254037844386]], [[1.0, 0], [0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [0.766044443118978, 1.3268278963378768], [-0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [-0.5, -0.8660254037844386]], [[1.0, 0], [-0.9396926207859084, 1.6275953626987474], [-0.5, -0.8660254037844386]], [[1.0, 0], [0.9396926207859084, 1.6275953626987474], [-0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0.17364817766693036, 0.3007674663608706], [-0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [-0.17364817766693036, 0.3007674663608706], [-0.5, -0.8660254037844386]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0.5, 0.8660254037844386], [-0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [0.5, -0.8660254037844386]], [[1.0, 0], [-1.8793852415718169, 0], [1.0, 0]], [[1.0, 0], [1.8793852415718169, 0], [1.0, 0]], [[1.0, 0], [0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [-0.5, 0.8660254037844386], [-0.5, -0.8660254037844386]], [[1.0, 0], [0, 0], [0.5, -0.8660254037844386]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [0.5, -0.8660254037844386]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 19550226, 'index': 2, 'label': '2-3312-207.160-c0-0-2', 'leading_term': '0.68420309339710430352369714866127', 'load_key': 'CMFs-workshop', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/3312/1/bm/a/3265/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [0.6842030933971043, 0.7609085489838676, 0.8437349847110787, 0.9335297300095232, 1.0300587566451453, 1.1320619942063486, 1.237393434141943, 1.343192640327594, 1.4460529207375314, 1.5421723624250399, 1.6274878351188324, 1.6977980775092982, 1.7488827995699385, 1.7766231171276086, 1.7771262903404939, 1.7468554617287209, 1.6827631560115763, 1.5824257582706058, 1.444175000149212, 1.2672216186717422, 1.0517657833862666, 0.7990886030788608, 0.51161902073948, 0.19297068610747536, -0.15205604070658674, -0.5175109579928989, -0.8963726577958823, -1.280670469215649, -1.661649688797785, -2.0299783516226224, -2.3759919657070006, -2.6899707644142423, -2.9624422042149177, -3.1844997322560595, -3.3481273569304437, -3.44651836165337, -3.474375689372865, -3.4281811659361714, -3.306420883795024, -3.1097547753831876, -2.841119687975894, -2.5057571243114247, -2.1111592040618663, -1.6669292705535466, -1.1845568271112097, -0.6771100237483396, -0.15885258999263685, 0.355204233057667, 0.8498007381612305, 1.3099616435562778, 1.721543126322063, 2.0717724161456266, 2.3497573288291744, 2.5469430293472684, 2.657494249708443, 2.678583178460789, 2.6105662683352144, 2.4570372057925667, 2.224748127610451, 1.9233966805404028, 1.5652824797223825, 1.1648426706913564, 0.7380823510166715, 0.30192125795073776, -0.12651692598837094, -0.5306423460130983, -0.8951308238972147, -1.206615544627942, -1.4543047221579142, -1.630493456571233, -1.7309417523065442, -1.7550960171600263, -1.7061381219173024, -1.5908540024746158, -1.4193224852364654, -1.2044341041172963, -0.9612586999067922, -0.7062890726112733, -0.456595417923607, -0.22893127032432087, -0.03883580085252109, 0.10022074087806274, 0.17760211058863543, 0.18613830849208313, 0.12258702781322407, -0.012105914487287681, -0.2127676875783306, -0.4701903655940104, -0.7715506651484136, -1.1010418797577555, -1.4406900712624442, -1.7713152783768273, -2.073588904900999, -2.3291311780084842, -2.521588143044618, -2.6376264718707434, -2.6677866272559125, -2.6071406783870454, -2.4557101343452206, -2.21861118440817, -1.9059091471612608, -1.532180008193295, -1.115793808964288, -0.6779513883390276, -0.24152158681855357, 0.17026046552998997, 0.5351628322611665, 0.8333160963300353, 1.048482124294277, 1.1691540330738988, 1.1894160096004707, 1.1095030321312103, 0.9360159663281492, 0.6817662083688608, 0.3652450387569651, 0.009734968997743516, -0.35789767604252254, -0.7086692259678876, -1.0131267851588182, -1.243086895715766, -1.373364883441209, -1.3833919679792914, -1.2586202580383892, -0.9916249412761436, -0.5828279882566653, -0.04078782014348894, 0.6179764052552024, 1.3696302943252314, 2.184115796466069, 3.0266375574443813, 3.859467393262039, 4.6439687712053415, 5.342727079403952, 5.921661892912495, 6.351995210515704, 6.611955113576987, 6.688107381748526, 6.576227699039981, 6.281653140280212, 5.819082170619822, 5.211825613854368, 4.49054491522875, 3.6915464034845638, 2.854729039792761, 2.021306393166049, 1.2314396713101343, 0.5219263509348857, -0.0759124064128431, -0.5380129215732472, -0.8489053908193344, -1.002519076959538, -1.0024028576771302, -0.8613446946435861, -0.6004122505357342, -0.24747467729014092, 0.16470000148583008, 0.6006488486946708, 1.0245753892843463, 1.4027129527051116, 1.705533282745586, 1.9096530116544619, 1.9993099890580965, 1.9673097952696224, 1.8153782601266508, 1.5538961266029843, 1.2010344332677068, 0.7813508275022635, 0.3239449441807362, -0.1396975247258215, -0.5780197045439274, -0.9617027499659144, -1.2658040829794046, -1.471570411717708, -1.567793524342381, -1.551608849583329, -1.4286763868509162, -1.2127280959160864, -0.9245120521689303, -0.5902082817810518, -0.23943090411087112, 0.09703697057868878, 0.38960769122795724, 0.6121756578227188, 0.7441525874340102, 0.7720947342976603, 0.6907940939360901, 0.5037444525521636, 0.22293933882005257, -0.13199083177094006, -0.5352445641601911, -0.9568131009441727, -1.3647973388746828, -1.7279032635976996, -2.0179244259635456, -2.212017426657671, -2.2945886695428874, -2.2586371802598113, -2.106437356345947, -1.849494410176773, -1.5077604599009145, -1.1081566199350288, -0.6825016743001744, -0.2649966728780497, 0.11054684824650586, 0.4135225754531403, 0.6191677301741251, 0.7108107353801326, 0.6815398189439484, 0.5351442327617163, 0.2862324118346126, -0.04050716180622896, -0.4118709207549248, -0.7884345390397096, -1.1274209366565686, -1.3859375433479366, -1.5243442065059156, -1.5094964789383556, -1.317611647752257, -0.9365270399355488, -0.3671606265525062, 0.3759599432890463, 1.265165982988437, 2.2611057357093833, 3.3151077850551336, 4.372295224854654, 5.375235418737171, 6.2678649140617795, 6.999402852225056, 7.527961460641745, 7.823579719423724, 7.870445144857451, 7.668126213010567, 7.231710134804169, 6.590822140852224, 5.787586967160015, 4.873674324123826, 3.906641409083875, 2.9458412775319274, 2.0482015382577985, 1.264190313544895, 0.6342744202681013, 0.18613891101753424, -0.06712000572760575, -0.1276908149667712, -0.012579007164204748, 0.24798618548559417, 0.613144789412041, 1.0347945128761344, 1.4615075470793644, 1.8426668600058431, 2.132495669137637, 2.293662347617168, 2.300177079901707, 2.139353557694532, 1.812684424100756, 1.3355670145785585, 0.7359091159458309], 'positive_zeros': ['1.38091654251952449792719728941008', '2.71328754233653665205258922929565', '3.73244920145056174546961957911302', '4.70169740180242502520211415921267', '4.97620770230451288103735839350028', '6.12747999151061047139605696322735', '6.73983787942239903431629116054481', '7.32815135899593044910188833904078', '8.605086363794085639190672856554464', '9.059300683453926526952554073686436'], 'prelabel': '2-3312-207.160-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2856528776619698, 'root_angle': 0.33333333333333337, 'root_number': '-0.50000000000000000000000000000000 + 0.86602540378443864676372317075312*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.3333333333333333', 'prec': 60}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.38091654251952449792719728941', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.71328754233653665205258922930', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.73244920145056174546961957911', 'prec': 103}}
