{'Lhash': '2276015815625661329014983488161', 'a10': [0, 0], 'a2': [0, 0], 'a3': [7.9840470991973564, 4.153912844270843], 'a4': [0, 0], 'a5': [0, -11.180339887498949], 'a6': [0, 0], 'a7': [-61.606834440260144, 0], 'a8': [0, 0], 'a9': [46.49001616440344, 66.33007158923851], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 24.808791140122647, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-7.9840470991973564, -4.153912844270843]]], [5, [[1.0, 0], [0, 11.180339887498949]]]], 'bad_primes': [2, 3, 5], 'central_character': '240.161', 'coefficient_field': 'CDF', 'conductor': 240, 'conductor_radical': 30, 'conjugate': '380771676244685294859987159482', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-7.9840470991973564, -4.153912844270843]], [[1.0, 0], [0, 11.180339887498949]], [[1.0, 0], [61.606834440260144, 0], [2401.0, 0]], [[1.0, 0], [0, 108.82654773256318], [-14641.0, 0]], [[1.0, 0], [63.70255184507601, 0], [28561.0, 0]], [[1.0, 0], [0, 175.14346114936444], [-83521.0, 0]], [[1.0, 0], [301.7231437260288, 0], [130321.0, 0]], [[1.0, 0], [0, 1039.8956749815918], [-279841.0, 0]], [[1.0, 0], [0, 179.8733208458973], [-707281.0, 0]], [[1.0, 0], [1068.9368126065492, 0], [923521.0, 0]], [[1.0, 0], [1061.2888124822082, 0], [1874161.0, 0]], [[1.0, 0], [0, 173.76828081957555], [-2825761.0, 0]], [[1.0, 0], [-3032.9578472883636, 0], [3418801.0, 0]], [[1.0, 0], [0, 935.7031009611271], [-4879681.0, 0]], [[1.0, 0], [0, 423.30385008569573], [-7890481.0, 0]], [[1.0, 0], [0, 3188.7152268100112], [-12117361.0, 0]], [[1.0, 0], [2301.3468790221577, 0], [13845841.0, 0]], [[1.0, 0], [4219.062780748239, 0], [20151121.0, 0]], [[1.0, 0], [0, -475.2610328485498], [-25411681.0, 0]], [[1.0, 0], [2148.469831847707, 0], [28398241.0, 0]], [[1.0, 0], [3106.2024401459626, 0], [38950081.0, 0]], [[1.0, 0], [0, -3769.8716087886296], [-47458321.0, 0]], [[1.0, 0], [0, 8260.681180866713], [-62742241.0, 0]], [[1.0, 0], [-9310.255442534624, 0], [88529281.0, 0]], [[1.0, 0], [0, 10239.802870865436], [-104060401.0, 0]], [[1.0, 0], [-5400.147720787329, 0], [112550881.0, 0]], [[1.0, 0], [0, -6786.138263350809], [-131079601.0, 0]], [[1.0, 0], [4600.11675208663, 0], [141158161.0, 0]], [[1.0, 0], [0, -14751.55618869218], [-163047361.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 23165719, 'index': 28, 'label': '2-240-3.2-c4-0-28', 'leading_term': '1.094101729380310199331894630178214998150183041913459857', 'load_key': 'CMFs-workshop', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/240/5/l/d/161/6', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.07421875', 'prec': 34}, 'plot_values': [1.0941017293803101, 1.3340236950373663, 1.5563486547938752, 1.7586170053469998, 1.9385599264038265, 2.094118166360247, 2.2234633859336115, 2.3250221865428036, 2.397502686068385, 2.4399232317774704, 2.451642569361549, 2.4323905289034595, 2.3822980535711378, 2.3019251948249146, 2.192285538111368, 2.0548654137212212, 1.891636196011639, 1.7050580066535335, 1.4980732187210422, 1.2740883114857684, 1.0369428521077477, 0.7908646793770359, 0.540410733305481, 0.2903934072189622, 0.04579278785726776, -0.18834431718940028, -0.407017100504785, -0.6053931809031757, -0.7789381167758067, -0.9235488410458955, -1.0356873536260862, -1.1125105824986494, -1.1519919977331659, -1.153030357463404, -1.1155409027868708, -1.0405244185077052, -0.9301098533111991, -0.7875666558257617, -0.6172836353381198, -0.4247119937714083, -0.21627118714550386, 0.000782559966709624, 0.21852397303542984, 0.4285601864823856, 0.6222620274736782, 0.7910197936840083, 0.9265168421731489, 1.021013077859816, 1.0676293856987369, 1.0606232502968902, 0.9956453061108537, 0.86996640950636, 0.682665060130205, 0.43476565014919316, 0.12931909799847255, -0.22858107651607992, -0.6318522798916184, -1.0715487641995334, -1.5370601769966081, -2.0163802169017364, -2.4964399884636537, -2.9634977618927287, -3.4035740694649044, -3.8029185375692087, -4.14849268858668, -4.428451271919583, -4.632603609081805, -4.752836056952037, -4.783477075968685, -4.721587577568296, -4.567161225964663, -4.323222155703003, -3.99581107263706, -3.593854828362143, -3.12891915668151, -2.614849162715491, -2.0673071610117026, -1.503222348976459, -0.9401713458459552, -0.39571259445005685, 0.1132992070085106, 0.5713903011158612, 0.9651073382541507, 1.2835900226447938, 1.5190494585412075, 1.6671276850203474, 1.7271181510681168, 1.7020323162282485, 1.5985039748165217, 1.4265300417985345, 1.1990541019360557, 0.9314066664012798, 0.6406234328044634, 0.3446695271016114, 0.0616033511850431, -0.19128206976640974, -0.39829973920282297, -0.5461501164049039, -0.624603392696132, -0.6270460493660047, -0.5508604863132027, -0.39761369240327626, -0.17303965921864034, 0.11318985480141934, 0.4479009799510431, 0.8150437608258739, 1.1964820450561486, 1.572911205192952, 1.9248596262914266, 2.233723841512261, 2.48278355566177, 2.658141873907618, 2.7495380296544196, 2.750984811767364, 2.6611905971952843, 2.483736109231782, 2.22698829863776, 1.903747501476964, 1.5306385684091008, 1.127271211064265, 0.7152085586092454, 0.31679505358408333, -0.04609541575296349, -0.35332350721425715, -0.5876897022350016, -0.736010713551218, -0.7900015631901798, -0.7469064856763159, -0.6098340192823543, -0.3877668995783081, -0.09523491185799332, 0.24834222884641416, 0.6196156628723726, 0.9925270734485403, 1.3397259546259077, 1.6341095244335226, 1.8504006021118706, 1.9666736203311594, 1.9657388809391616, 1.8363003896339354, 1.5738130153836687, 1.18097989193766, 0.667850183632089, 0.051499573839253694, -0.6447001250630882, -1.3921913824218841, -2.1586671120619396, -2.909757414864938, -3.6108746942304606, -4.229112946010714, -4.735090982817735, -5.104629831363081, -5.320161726111676, -5.371781786031293, -5.2578729622648055, -4.985259151945826, -4.568869116616744, -4.030923387529979, -3.3996858792562543, -2.70784960191489, -1.9906498531914028, -1.2838169532243526, -0.6214926167506255, -0.03423848294714077, 0.45273834723820633, 0.8210296634607959, 1.0600465598937978, 1.1675478257155176, 1.1496389220959637, 1.0202379128282804, 0.8000393868639697, 0.5150407236417881, 0.19472475841238976, -0.12998306626413533, -0.42884837341163423, -0.6744097785661836, -0.8438680837914918, -0.9206529184029404, -0.8955572233440864, -0.7673580764505571, -0.5428765963462544, -0.2364678281833253, 0.13102894397511713, 0.5338108109602914, 0.9429999654903932, 1.3287700897450636, 1.6625609380907016, 1.9192228146795418, 2.0789348638679916, 2.1287544786417607, 2.063679013552565, 1.8871339218943342, 1.6108412920028312, 1.2540668483581132, 0.8422887429359985, 0.4053746532328397, -0.02460835462724209, -0.4157969368670265, -0.7389740155966352, -0.9698701393336912, -1.091149020728438, -1.093921551648739, -0.9786634628468047, -0.755452648421243, -0.44349028386047246, -0.06992188819200414, 0.331973310781333, 0.725107800654297, 1.0712678875530615, 1.3339637568383673, 1.4812413039106176, 1.4882468751437374, 1.3393487749507793, 1.0296469651922848, 0.5657431511780793, -0.03430527259296276, -0.7418656996431121, -1.519402447144699, -2.3228384181796424, -3.104450946375005, -3.816103549514956, -4.412586133397571, -4.854823257862472, -5.11271475135809, -5.167395288751615, -5.012738243942901, -4.655981636919015, -4.1174166479207415, -3.429147446969543, -2.6329999322097795, -1.7777211773274133, -0.915665990913478, -0.09920765445657379, 0.6228667227114202, 1.2087118033661337, 1.6262821759180197, 1.8554798017115293, 1.8894293501581323, 1.734784834545016, 1.4110439174895617, 0.9489217974136537, 0.38790886386183937, -0.22680037722469343, -0.8477703447441612, -1.4289114768978035, -1.9289131204935681, -2.3142554963567545, -2.5615667967746503, -2.659143119567689, -2.607515550973513, -2.419025093310652, -2.1164462385146394, -1.7307773633458252, -1.2983844355905776, -0.8577380824752833, -0.4460183108118231, -0.09587302622937593], 'positive_zeros': ['1.79545989661179870178733797400353', '3.04270325478890121287274620262101', '4.03583753127688042012503866247706', '5.92039957444893918404244361140922', '6.99367960350332673774016730001423', '7.61685217665969893505359980542852', '9.044681821971163166816954743546042', '9.669935223620479410834134985767303', '10.61903993592828030537191230109112', '12.10238337353968986527412286250671'], 'prelabel': '2-240-3.2-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.980842412697138, 'root_angle': 0.32635251344079436, 'root_number': '-0.461545871585649163835291246003811356188343286618542282 + 0.887116344355261809766206779563997602310704891432216116*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.3263525134407944', 'prec': 60}, 'spectral_label': 'c4-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.79545989661179870178733797400', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.04270325478890121287274620262', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.03583753127688042012503866248', 'prec': 103}}