{'Lhash': '1062094014314784231741302701394', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [13.38083151964686, 0.0], 'a6': [0.0, 0.0], 'a7': [-15.38083151964686, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 110.45157553074648, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [13, [[1.0, 0], [-13.0, 0]]]], 'bad_primes': [2, 3, 13], 'central_character': '1872.1', 'coefficient_field': 'CDF', 'conductor': 1872, 'conductor_radical': 78, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-13.38083151964686, 0], [125.0, 0]], [[1.0, 0], [15.38083151964686, 0], [343.0, 0]], [[1.0, 0], [-24.904157598234296, 0], [1331.0, 0]], [[1.0, 0], [-13.0, 0]], [[1.0, 0], [-65.52332607858743, 0], [4913.0, 0]], [[1.0, 0], [-73.18914671611545, 0], [6859.0, 0]], [[1.0, 0], [-28.56997823576231, 0], [12167.0, 0]], [[1.0, 0], [-220.5699782357623, 0], [24389.0, 0]], [[1.0, 0], [138.99746191258404, 0], [29791.0, 0]], [[1.0, 0], [354.1866086286995, 0], [50653.0, 0]], [[1.0, 0], [-297.665820637528, 0], [68921.0, 0]], [[1.0, 0], [-9.621706567769099, 0], [79507.0, 0]], [[1.0, 0], [219.66582063752801, 0], [103823.0, 0]], [[1.0, 0], [-189.23833696070628, 0], [148877.0, 0]], [[1.0, 0], [-329.37575534481493, 0], [205379.0, 0]], [[1.0, 0], [838.7565868644618, 0], [226981.0, 0]], [[1.0, 0], [-386.997461912584, 0], [300763.0, 0]], [[1.0, 0], [-664.5207879911715, 0], [357911.0, 0]], [[1.0, 0], [-248.27991294304923, 0], [389017.0, 0]], [[1.0, 0], [-1264.5598258860985, 0], [493039.0, 0]], [[1.0, 0], [157.56236397351444, 0], [571787.0, 0]], [[1.0, 0], [774.0491902445908, 0], [704969.0, 0]], [[1.0, 0], [-1054.9431954931613, 0], [912673.0, 0]], [[1.0, 0], [987.2231084362105, 0], [1030301.0, 0]], [[1.0, 0], [1111.5080975540916, 0], [1092727.0, 0]], [[1.0, 0], [-1390.8498911788115, 0], [1225043.0, 0]], [[1.0, 0], [-739.5233260785874, 0], [1295029.0, 0]], [[1.0, 0], [-545.9847714755042, 0], [1442897.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 20671987, 'index': 33, 'label': '2-1872-1.1-c3-0-33', 'leading_term': '2.96839498937011462965639835387', 'load_key': 'CMFs-workshop', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/1872/4/a/bg/1/2', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [2.9683949893701147, 2.9488811450795698, 2.8906514730319346, 2.7946394610978507, 2.6623937793490335, 2.4960670140309413, 2.2983988353979696, 2.0726926380068598, 1.8227845517031025, 1.553003671648949, 1.268122405894412, 0.9732959935191445, 0.6739905042498244, 0.3758989854225145, 0.08484586303719495, -0.19331978516048667, -0.45284090456570947, -0.6881773161832173, -0.8941363825660271, -1.0660065526147129, -1.199690330707506, -1.2918327735335768, -1.3399412799529582, -1.342492229458725, -1.299019964666622, -1.210183720056974, -1.0778083853872276, -0.9048954644108074, -0.6956012477948589, -0.4551800561803819, -0.18989141022298378, 0.09312887365584487, 0.3860324108286322, 0.6804542237507043, 0.9677370370127815, 1.23917863403693, 1.4862957633024523, 1.7010969601932182, 1.876355716983718, 2.0058747418041465, 2.0847316464998555, 2.109496334640753, 2.0784106562575024, 1.9915215748278143, 1.8507601602094714, 1.6599601686292973, 1.4248117709022705, 1.1527480992133141, 0.8527646408584738, 0.535174038611124, 0.2113014725473515, -0.10687160298417123, -0.40710511873205385, -0.6773269580473894, -0.9060740497284224, -1.082932157771448, -1.1989576355855596, -1.2470641263269693, -1.222357578798179, -1.1224040403884399, -0.9474164869853384, -0.7003494261689912, -0.38689310406359484, -0.015362766270629368, 0.40351755201298056, 0.8569329499903494, 1.3303891734231703, 1.8082053167533587, 2.274071334403997, 2.7116504799360976, 3.10520395642556, 3.4402130561972655, 3.7039730305141396, 3.8861329620444653, 3.9791570743028153, 3.9786852138408446, 3.8837736418015796, 3.697001677139581, 3.4244349975430826, 3.075442330336144, 2.6623686164150993, 2.200074233962149, 1.705356231029485, 1.1962734330747182, 0.6914024635204014, 0.2090558620246585, -0.23350363990402986, -0.6208172211617686, -0.9399171884476042, -1.1809139218025944, -1.3374526988393702, -1.4070156536683878, -1.391050624000807, -1.2949162758534825, -1.1276413470106295, -0.901504738627835, -0.6314520893998432, -0.33437294762358516, -0.028270272473986387, 0.2686396712369512, 0.538854283415774, 0.7664930073974624, 0.9381411265833431, 1.0435847547736052, 1.0763968672140038, 1.0343404820817956, 0.9195633240132427, 0.7385681378155687, 0.5019538277290486, 0.22393425078093426, -0.07834678957149867, -0.3856746311299996, -0.6777571841101594, -0.9343046729728568, -1.1361415900028025, -1.2662933307086432, -1.3109894674446236, -1.2605281584900836, -1.109951763527554, -0.8594921567935508, -0.5147551483417334, -0.08662634461264182, 0.4091049238907415, 0.9523920327536595, 1.5198214673604777, 2.085706955996445, 2.6233349671377977, 3.1062995466309538, 3.5098578867916235, 3.8122349763923364, 3.9958064629354118, 4.048093548012582, 3.9625121985335987, 3.738830840208687, 3.383305449083669, 2.9084778354338163, 2.3326410396321307, 1.67899414901801, 0.9745264679649672, 0.2486868099312921, -0.4680932207881612, -1.1459435528295525, -1.7570838421159183, -2.2772511006568408, -2.6869464180374005, -2.9724292166395, -3.126400568808379, -3.1483338481820944, -3.0444305067088586, -2.827199992494137, -2.5146845485702216, -2.129370591452005, -1.6968473026031532, -1.2442888022998966, -0.798847798673412, -0.3860551241985562, -0.028320576127326413, 0.25637422611606936, 0.455510516662316, 0.5627294747956316, 0.5781462049410616, 0.5082578296237817, 0.36544751603870534, 0.16711122971071124, -0.0655421714359772, -0.3089457218162447, -0.5387950906788577, -0.7317344091367829, -0.8670004126006686, -0.9279188022996658, -0.903154085365882, -0.7876278890156564, -0.5830401480766466, -0.29795154726565426, 0.05258724735541141, 0.44784535501471995, 0.8626178142274539, 1.268759111344367, 1.6369525950730348, 1.938607070846475, 2.1477612391192227, 2.2428734192738706, 2.208378570679089, 2.035906877255573, 1.7250774957037305, 1.2838064013909298, 0.7280971051788362, 0.08131553499515154, -0.6270164659500166, -1.3628429122277157, -2.089516536221955, -2.7699459728890603, -3.3688150161639285, -3.8547344565394788, -4.2021886775973005, -4.393149845146319, -4.418251658190393, -4.277441167340924, -3.9800595113301855, -3.5443385638393345, -2.9963381128196898, -2.368384855791859, -1.6971077420829113, -1.0211917575046037, -0.3789921920344842, 0.1938377094005824, 0.6665519248847124, 1.0152051904520654, 1.2241094906936392, 1.2867558099982381, 1.2061380668239143, 0.9944554552712438, 0.672210817103661, 0.26676338447197967, -0.1895685145420787, -0.6617280057947449, -1.1143137927228857, -1.5139852587776308, -1.8317140644169836, -2.0447271822483817, -2.1380065717225154, -2.105240533637684, -1.9491592657534387, -1.6812297571581092, -1.3207300003460933, -0.8932664490302471, -0.42883859800472796, 0.04041237131718519, 0.48261019329185095, 0.8685320887549469, 1.1738056454562251, 1.3807523983510985, 1.4797403066967443, 1.4699413675296622, 1.3594326008570068, 1.164625696478927, 0.9090594158515787, 0.6216358993871274, 0.3344239076192792, 0.08018560348494004, -0.11019381352061139, -0.21018431686653224, -0.1998114629550984, -0.06741064385581487, 0.1892032882382171, 0.5622489690331733, 1.0342235935938364, 1.57887680245895, 2.1628565368112134, 2.7479197119750736, 3.2935572287029586, 3.7598497873838697, 4.110350796830989, 4.314787081952249, 4.351377755571401, 4.20859607929971, 3.8862368473696782], 'positive_zeros': ['0.837844445562178959551874520852560', '1.79743085641532931659034312279001', '2.96834246161620011156434193080813', '3.69366743423158997652602608756394', '5.00736294209181984914737642351621', '5.74763535301356381520756427142988', '6.43037197773822141927867403422447', '7.10061831436141253845213338291587', '8.164651389729053288420877211120785', '9.145802262897093197403581091645715'], 'prelabel': '2-1872-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 10.509594451297657, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.837844445562178959551874520853', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '1.79743085641532931659034312279', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.96834246161620011156434193081', 'prec': 103}}