{'Lhash': '893766637728464402988645764306', 'a10': [0, 0], 'a2': [0, 0], 'a3': [4.146072022997837, 0], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0, -1.706606673369853], 'a8': [0, 0], 'a9': [8.189913219885373, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 29.972829079632664, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [3.9886535538247774, -10.251372728935426]]]], 'bad_primes': [2, 5, 11], 'central_character': '1100.901', 'coefficient_field': 'CDF', 'conductor': 1100, 'conductor_radical': 110, 'conjugate': '2004612867580030225338739857007', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-4.146072022997837, 0], [9.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 1.706606673369853], [-49.0, 0]], [[1.0, 0], [3.9886535538247774, -10.251372728935426]], [[1.0, 0], [0, -16.605399550668913], [-169.0, 0]], [[1.0, 0], [0, 0.5125194406372634], [-289.0, 0]], [[1.0, 0], [0, -19.543503296359752], [-361.0, 0]], [[1.0, 0], [-11.233754416772909, 0], [529.0, 0]], [[1.0, 0], [0, -48.10959197863689], [-841.0, 0]], [[1.0, 0], [-5.402519332121191, 0], [961.0, 0]], [[1.0, 0], [-0.5309465786408271, 0], [1369.0, 0]], [[1.0, 0], [0, 28.04814978303399], [-1681.0, 0]], [[1.0, 0], [0, 3.653477876567084], [-1849.0, 0]], [[1.0, 0], [3.5858326798047, 0], [2209.0, 0]], [[1.0, 0], [-51.92687320707642, 0], [2809.0, 0]], [[1.0, 0], [-41.173820199736795, 0], [3481.0, 0]], [[1.0, 0], [0, 42.31722712584537], [-3721.0, 0]], [[1.0, 0], [-73.56800634047718, 0], [4489.0, 0]], [[1.0, 0], [13.391474427844855, 0], [5041.0, 0]], [[1.0, 0], [0, -107.63354730946382], [-5329.0, 0]], [[1.0, 0], [0, 15.665521309919482], [-6241.0, 0]], [[1.0, 0], [0, 16.31328276323389], [-6889.0, 0]], [[1.0, 0], [140.69873811597643, 0], [7921.0, 0]], [[1.0, 0], [-97.09759706267023, 0], [9409.0, 0]], [[1.0, 0], [0, 168.94024699477234], [-10201.0, 0]], [[1.0, 0], [121.9749778731891, 0], [10609.0, 0]], [[1.0, 0], [0, -109.9045256810786], [-11449.0, 0]], [[1.0, 0], [0, 127.78917310500519], [-11881.0, 0]], [[1.0, 0], [-100.1893470257886, 0], [12769.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 23198826, 'index': 15, 'label': '2-1100-11.10-c2-0-15', 'leading_term': '2.8190198634997450653746347498250949753648954069863540580', 'load_key': 'CMFs-workshop', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/1100/3/f/c/901/7', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [2.819019863499745, 2.654787021607228, 2.4741650070927386, 2.278034573626343, 2.0673338342769654, 1.8430835838930837, 1.6064146233715844, 1.3585952844679519, 1.1010573242229602, 0.8354184107106043, 0.5634995473885671, 0.2873359698118799, 0.009180282892132983, -0.26850312309769236, -0.5430530446952699, -0.8116361814958449, -1.0712816319845302, -1.318924880024165, -1.5514606590532358, -1.7658037617722189, -1.9589565532917395, -2.1280816509450333, -2.270577960841956, -2.3841580174425965, -2.4669243665474663, -2.517442573339242, -2.534808334864739, -2.5187061397182573, -2.4694569549559326, -2.388052538339816, -2.2761741778779148, -2.1361939528856717, -1.9711569911961309, -1.7847436622409283, -1.5812111886058282, -1.365314768830706, -1.1422089675728255, -0.9173308282245652, -0.696266876953099, -0.48460689248671207, -0.2877879872959415, -0.11093315626255075, 0.04131102878675167, 0.1649324928974942, 0.25670214690381005, 0.31430733294595237, 0.336464843428714, 0.3230083995340977, 0.274945945948275, 0.19448279074362418, 0.08500748628467401, -0.04896160646634631, -0.20186992498813838, -0.3672600102569159, -0.5379426219035421, -0.7062023197503384, -0.8640327217488366, -1.0033952663123962, -1.116494046031467, -1.1960581965995236, -1.2356224740656867, -1.2297960852759273, -1.1745095936007557, -1.0672298385204844, -0.9071333056886166, -0.6952292728182863, -0.434425330555823, -0.12952951521129727, 0.2128147454047205, 0.5842624336939656, 0.9749686081410777, 1.373854480881899, 1.7689318522005704, 2.1476773113056296, 2.497445247314162, 2.805906623824895, 3.0614987552779676, 3.253870075589741, 3.3743031886026147, 3.4160993979480345, 3.374908472391631, 3.2489886289994465, 3.0393836015295816, 2.750006168518604, 2.387620579714922, 1.9617198487486556, 1.4842977571260463, 0.9695195010646439, 0.43329905254218964, -0.10720466802971591, -0.634156970069658, -1.1296628005719571, -1.5764065921566044, -1.9582928538492366, -2.2610627764366025, -2.472862058812481, -2.5847361119770653, -2.5910307726684736, -2.4896796244920782, -2.2823629015634976, -1.9745276150226558, -1.575263832574524, -1.097037756202986, -0.5552881556485281, 0.03210142231518302, 0.6454366933331501, 1.2639299551396008, 1.866473530376073, 2.4324390084321736, 2.9424699974398263, 3.379235469598201, 3.7281115715562874, 3.9777619952657814, 4.120590617337747, 4.153045004584499, 4.075755374693534, 3.89350046029505, 3.6149991687131875, 3.252534636522737, 2.8214249007741543, 2.3393615909793257, 1.8256444383722361, 1.3003446764931375, 0.7834342856378494, 0.29392028541419185, -0.15097625337771847, -0.5365582016085113, -0.851272341089339, -1.0871812813433623, -1.240263856559492, -1.3105283861083745, -1.3019319757001742, -1.2221083681873859, -1.0819162777225735, -0.8948291931935152, -0.676195854188782, -0.44240754923444536, -0.2100136753280368, 0.005169685284387294, 0.18891229573346055, 0.3293387254826908, 0.4175725856204791, 0.4482206118398567, 0.4196688734465215, 0.3341727243896527, 0.19773264317197842, 0.019759316132437785, -0.187457366052764, -0.40944989931463854, -0.6304100891883103, -0.8341179179976412, -1.0049129415596416, -1.1286552654108133, -1.1936223720862615, -1.191290175734745, -1.1169516438533402, -0.9701339687409675, -0.7547852631376089, -0.47921362682842766, -0.15577459729966106, 0.1996832187353166, 0.5685908679519832, 0.9306138608985707, 1.2647415988003838, 1.5504550019873917, 1.76890980843282, 1.9040701480239641, 1.9437276518676618, 1.8803456034361676, 1.7116753608825954, 1.441103162298684, 1.0776989673789301, 0.6359545251386272, 0.13521459062346838, -0.4011777460501244, -0.9469842434277147, -1.4743709786439778, -1.9553394588664874, -2.363215510462697, -2.6741166724299057, -2.8683176364906497, -2.93143650957824, -2.85537227496807, -2.6389354987689004, -2.288129533640443, -1.8160574612278313, -1.242449859705704, -0.5928291222714959, 0.10265364935166474, 0.8106543435502088, 1.4962730727300297, 2.1248092246480534, 2.6635423170132833, 3.0834432836481054, 3.360722708747054, 3.478129674861569, 3.425927014432112, 3.2024852759764535, 2.814457789994609, 2.2765217775783206, 1.6106942501626162, 0.8452551655175106, 0.013332572411618612, -0.848776011289661, -1.7034561578791036, -2.5137025086165554, -3.245012562865951, -3.8671435612002973, -4.355634666310557, -4.693009281934556, -4.869590048149957, -4.883880845310947, -4.7424948025155444, -4.459633421666246, -4.056147966297637, -3.5582386762456504, -2.995868678581013, -2.400986359453305, -1.8056613747727783, -1.240244660601706, -0.7316613755087362, -0.30193768405766397, 0.03295190533443885, 0.26384949636362653, 0.3887476797578325, 0.41267551748561576, 0.3471475596759252, 0.20921400296416828, 0.02017503147635775, -0.1959565255783025, -0.414144199437018, -0.6100589065490452, -0.7617396610870037, -0.8510761330829627, -0.8650166621338911, -0.7964230876806591, -0.6445167285763883, -0.4148866062202779, -0.11905985986724966, 0.2263366083375541, 0.6007667989894717, 0.9812481986978745, 1.3439870648985375, 1.6660747951291168, 1.9271286948797601, 2.1107631623906884, 2.2057877198819575, 2.207045859919108, 2.115832279977142, 1.9398542615274637, 1.692733892939236, 1.3930795003794323, 1.0631849127857351, 0.7274419739371034, 0.4105731474439872, 0.13580558261855044, -0.07688550180298023], 'positive_zeros': ['0.70505755889481655142304607538718', '2.44396812105554030431665734358853', '2.96793831839579830293429010912158', '3.94864071942835729846376029530012', '5.20316712365035016284497421220365', '6.09063099375723455332266010565375', '7.30353443627122690741181805276659', '8.084438425932290412956919977666817', '8.560585214927672446602858758873822', '9.342562708727747051814744076035185'], 'prelabel': '2-1100-11.10-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.47474465885238, 'root_angle': -0.19094373235266854, 'root_number': '0.36260486852952522358928340772192470465253616453191222290 - 0.93194297535776604410107887917057742773137874905255109291*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.19094373235266854', 'prec': 67}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.70505755889481655142304607539', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.44396812105554030431665734359', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.96793831839579830293429010912', 'prec': 103}}
