Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(113,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.113");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.r (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 113.12 | ||
Character | \(\chi\) | \(=\) | 966.113 |
Dual form | 966.2.r.b.701.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{13}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.540641 | + | 0.841254i | −0.382291 | + | 0.594856i | ||||
\(3\) | 1.71940 | − | 0.208961i | 0.992696 | − | 0.120644i | ||||
\(4\) | −0.415415 | − | 0.909632i | −0.207708 | − | 0.454816i | ||||
\(5\) | −4.23656 | − | 1.24397i | −1.89465 | − | 0.556318i | −0.992053 | − | 0.125823i | \(-0.959843\pi\) |
−0.902593 | − | 0.430495i | \(-0.858339\pi\) | |||||||
\(6\) | −0.753788 | + | 1.55942i | −0.307733 | + | 0.636632i | ||||
\(7\) | 0.755750 | + | 0.654861i | 0.285646 | + | 0.247514i | ||||
\(8\) | 0.989821 | + | 0.142315i | 0.349955 | + | 0.0503159i | ||||
\(9\) | 2.91267 | − | 0.718576i | 0.970890 | − | 0.239525i | ||||
\(10\) | 3.33695 | − | 2.89148i | 1.05523 | − | 0.914366i | ||||
\(11\) | −1.70523 | + | 1.09588i | −0.514146 | + | 0.330421i | −0.771852 | − | 0.635802i | \(-0.780670\pi\) |
0.257707 | + | 0.966223i | \(0.417033\pi\) | |||||||
\(12\) | −0.904342 | − | 1.47722i | −0.261061 | − | 0.426435i | ||||
\(13\) | 0.437268 | + | 0.504634i | 0.121276 | + | 0.139960i | 0.813141 | − | 0.582067i | \(-0.197756\pi\) |
−0.691864 | + | 0.722027i | \(0.743210\pi\) | |||||||
\(14\) | −0.959493 | + | 0.281733i | −0.256435 | + | 0.0752962i | ||||
\(15\) | −7.54427 | − | 1.25360i | −1.94792 | − | 0.323677i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | −0.0215412 | + | 0.0471686i | −0.00522450 | + | 0.0114401i | −0.912226 | − | 0.409687i | \(-0.865638\pi\) |
0.907002 | + | 0.421127i | \(0.138365\pi\) | |||||||
\(18\) | −0.970204 | + | 2.83879i | −0.228679 | + | 0.669108i | ||||
\(19\) | −5.67881 | + | 2.59343i | −1.30281 | + | 0.594973i | −0.941355 | − | 0.337417i | \(-0.890447\pi\) |
−0.361453 | + | 0.932390i | \(0.617719\pi\) | |||||||
\(20\) | 0.628379 | + | 4.37047i | 0.140510 | + | 0.977267i | ||||
\(21\) | 1.43628 | + | 0.968045i | 0.313421 | + | 0.211245i | ||||
\(22\) | − | 2.02701i | − | 0.432160i | ||||||
\(23\) | −4.72318 | + | 0.831605i | −0.984851 | + | 0.173402i | ||||
\(24\) | 1.73164 | + | 0.0378617i | 0.353469 | + | 0.00772848i | ||||
\(25\) | 12.1947 | + | 7.83705i | 2.43894 | + | 1.56741i | ||||
\(26\) | −0.660930 | + | 0.0950274i | −0.129619 | + | 0.0186364i | ||||
\(27\) | 4.85789 | − | 1.84415i | 0.934901 | − | 0.354908i | ||||
\(28\) | 0.281733 | − | 0.959493i | 0.0532424 | − | 0.181327i | ||||
\(29\) | −1.56110 | − | 0.712931i | −0.289889 | − | 0.132388i | 0.265163 | − | 0.964204i | \(-0.414574\pi\) |
−0.555052 | + | 0.831816i | \(0.687302\pi\) | |||||||
\(30\) | 5.13334 | − | 5.66890i | 0.937215 | − | 1.03500i | ||||
\(31\) | −1.25819 | + | 8.75088i | −0.225977 | + | 1.57171i | 0.488827 | + | 0.872381i | \(0.337425\pi\) |
−0.714804 | + | 0.699325i | \(0.753484\pi\) | |||||||
\(32\) | −0.281733 | − | 0.959493i | −0.0498038 | − | 0.169616i | ||||
\(33\) | −2.70297 | + | 2.24059i | −0.470527 | + | 0.390037i | ||||
\(34\) | −0.0280347 | − | 0.0436228i | −0.00480791 | − | 0.00748125i | ||||
\(35\) | −2.38715 | − | 3.71448i | −0.403502 | − | 0.627862i | ||||
\(36\) | −1.86361 | − | 2.35095i | −0.310601 | − | 0.391825i | ||||
\(37\) | −1.27423 | − | 4.33962i | −0.209482 | − | 0.713430i | −0.995460 | − | 0.0951760i | \(-0.969659\pi\) |
0.785979 | − | 0.618254i | \(-0.212160\pi\) | |||||||
\(38\) | 0.888468 | − | 6.17943i | 0.144129 | − | 1.00244i | ||||
\(39\) | 0.857287 | + | 0.776295i | 0.137276 | + | 0.124307i | ||||
\(40\) | −4.01640 | − | 1.83423i | −0.635049 | − | 0.290017i | ||||
\(41\) | −3.00117 | + | 10.2210i | −0.468703 | + | 1.59626i | 0.298206 | + | 0.954502i | \(0.403612\pi\) |
−0.766909 | + | 0.641755i | \(0.778206\pi\) | |||||||
\(42\) | −1.59088 | + | 0.684908i | −0.245478 | + | 0.105684i | ||||
\(43\) | −4.72274 | + | 0.679027i | −0.720210 | + | 0.103551i | −0.492668 | − | 0.870217i | \(-0.663978\pi\) |
−0.227543 | + | 0.973768i | \(0.573069\pi\) | |||||||
\(44\) | 1.70523 | + | 1.09588i | 0.257073 | + | 0.165211i | ||||
\(45\) | −13.2336 | − | 0.578973i | −1.97275 | − | 0.0863081i | ||||
\(46\) | 1.85395 | − | 4.42299i | 0.273351 | − | 0.652135i | ||||
\(47\) | − | 4.48195i | − | 0.653760i | −0.945066 | − | 0.326880i | \(-0.894003\pi\) | ||
0.945066 | − | 0.326880i | \(-0.105997\pi\) | |||||||
\(48\) | −0.968045 | + | 1.43628i | −0.139725 | + | 0.207309i | ||||
\(49\) | 0.142315 | + | 0.989821i | 0.0203307 | + | 0.141403i | ||||
\(50\) | −13.1859 | + | 6.02180i | −1.86477 | + | 0.851611i | ||||
\(51\) | −0.0271815 | + | 0.0856029i | −0.00380616 | + | 0.0119868i | ||||
\(52\) | 0.277384 | − | 0.607385i | 0.0384662 | − | 0.0842292i | ||||
\(53\) | −5.92863 | + | 6.84201i | −0.814360 | + | 0.939822i | −0.999076 | − | 0.0429702i | \(-0.986318\pi\) |
0.184716 | + | 0.982792i | \(0.440863\pi\) | |||||||
\(54\) | −1.07497 | + | 5.08374i | −0.146285 | + | 0.691810i | ||||
\(55\) | 8.58754 | − | 2.52153i | 1.15794 | − | 0.340003i | ||||
\(56\) | 0.654861 | + | 0.755750i | 0.0875094 | + | 0.100991i | ||||
\(57\) | −9.22222 | + | 5.64579i | −1.22151 | + | 0.747803i | ||||
\(58\) | 1.44375 | − | 0.927842i | 0.189574 | − | 0.121832i | ||||
\(59\) | −10.5002 | + | 9.09849i | −1.36701 | + | 1.18452i | −0.404097 | + | 0.914716i | \(0.632414\pi\) |
−0.962915 | + | 0.269806i | \(0.913040\pi\) | |||||||
\(60\) | 1.99369 | + | 7.38328i | 0.257385 | + | 0.953177i | ||||
\(61\) | −8.12561 | − | 1.16829i | −1.04038 | − | 0.149584i | −0.399112 | − | 0.916902i | \(-0.630681\pi\) |
−0.641266 | + | 0.767319i | \(0.721590\pi\) | |||||||
\(62\) | −6.68148 | − | 5.78954i | −0.848549 | − | 0.735272i | ||||
\(63\) | 2.67182 | + | 1.36433i | 0.336617 | + | 0.171889i | ||||
\(64\) | 0.959493 | + | 0.281733i | 0.119937 | + | 0.0352166i | ||||
\(65\) | −1.22476 | − | 2.68186i | −0.151913 | − | 0.332643i | ||||
\(66\) | −0.423567 | − | 3.48524i | −0.0521374 | − | 0.429003i | ||||
\(67\) | 2.49026 | − | 3.87492i | 0.304233 | − | 0.473396i | −0.655151 | − | 0.755498i | \(-0.727395\pi\) |
0.959385 | + | 0.282101i | \(0.0910315\pi\) | |||||||
\(68\) | 0.0518545 | 0.00628829 | ||||||||
\(69\) | −7.94726 | + | 2.41682i | −0.956738 | + | 0.290951i | ||||
\(70\) | 4.41541 | 0.527743 | ||||||||
\(71\) | 2.99094 | − | 4.65400i | 0.354959 | − | 0.552328i | −0.617153 | − | 0.786843i | \(-0.711714\pi\) |
0.972112 | + | 0.234516i | \(0.0753504\pi\) | |||||||
\(72\) | 2.98529 | − | 0.296746i | 0.351820 | − | 0.0349718i | ||||
\(73\) | 1.84939 | + | 4.04960i | 0.216455 | + | 0.473970i | 0.986446 | − | 0.164084i | \(-0.0524669\pi\) |
−0.769992 | + | 0.638054i | \(0.779740\pi\) | |||||||
\(74\) | 4.33962 | + | 1.27423i | 0.504471 | + | 0.148126i | ||||
\(75\) | 22.6052 | + | 10.9268i | 2.61022 | + | 1.26172i | ||||
\(76\) | 4.71813 | + | 4.08828i | 0.541206 | + | 0.468958i | ||||
\(77\) | −2.00638 | − | 0.288474i | −0.228648 | − | 0.0328746i | ||||
\(78\) | −1.11655 | + | 0.301499i | −0.126424 | + | 0.0341380i | ||||
\(79\) | 8.52804 | − | 7.38959i | 0.959480 | − | 0.831394i | −0.0262629 | − | 0.999655i | \(-0.508361\pi\) |
0.985742 | + | 0.168261i | \(0.0538153\pi\) | |||||||
\(80\) | 3.71448 | − | 2.38715i | 0.415292 | − | 0.266892i | ||||
\(81\) | 7.96730 | − | 4.18595i | 0.885255 | − | 0.465106i | ||||
\(82\) | −6.97593 | − | 8.05065i | −0.770362 | − | 0.889045i | ||||
\(83\) | 3.07083 | − | 0.901678i | 0.337068 | − | 0.0989721i | −0.108818 | − | 0.994062i | \(-0.534707\pi\) |
0.445886 | + | 0.895090i | \(0.352889\pi\) | |||||||
\(84\) | 0.283914 | − | 1.70862i | 0.0309776 | − | 0.186426i | ||||
\(85\) | 0.149936 | − | 0.173036i | 0.0162629 | − | 0.0187684i | ||||
\(86\) | 1.98207 | − | 4.34013i | 0.213732 | − | 0.468008i | ||||
\(87\) | −2.83313 | − | 0.899603i | −0.303744 | − | 0.0964476i | ||||
\(88\) | −1.84383 | + | 0.842050i | −0.196553 | + | 0.0897628i | ||||
\(89\) | −0.599031 | − | 4.16635i | −0.0634972 | − | 0.441633i | −0.996625 | − | 0.0820880i | \(-0.973841\pi\) |
0.933128 | − | 0.359545i | \(-0.117068\pi\) | |||||||
\(90\) | 7.64167 | − | 10.8198i | 0.805503 | − | 1.14050i | ||||
\(91\) | 0.667726i | 0.0699967i | ||||||||
\(92\) | 2.71853 | + | 3.95089i | 0.283427 | + | 0.411909i | ||||
\(93\) | −0.334730 | + | 15.3092i | −0.0347099 | + | 1.58749i | ||||
\(94\) | 3.77046 | + | 2.42313i | 0.388893 | + | 0.249926i | ||||
\(95\) | 27.2847 | − | 3.92295i | 2.79935 | − | 0.402486i | ||||
\(96\) | −0.684908 | − | 1.59088i | −0.0699031 | − | 0.162369i | ||||
\(97\) | −3.12116 | + | 10.6297i | −0.316905 | + | 1.07928i | 0.634904 | + | 0.772591i | \(0.281040\pi\) |
−0.951810 | + | 0.306690i | \(0.900779\pi\) | |||||||
\(98\) | −0.909632 | − | 0.415415i | −0.0918867 | − | 0.0419633i | ||||
\(99\) | −4.17929 | + | 4.41729i | −0.420035 | + | 0.443954i | ||||
\(100\) | 2.06298 | − | 14.3483i | 0.206298 | − | 1.43483i | ||||
\(101\) | −2.01384 | − | 6.85851i | −0.200384 | − | 0.682447i | −0.996961 | − | 0.0779085i | \(-0.975176\pi\) |
0.796576 | − | 0.604538i | \(-0.206642\pi\) | |||||||
\(102\) | −0.0573183 | − | 0.0691469i | −0.00567536 | − | 0.00684656i | ||||
\(103\) | −7.09067 | − | 11.0333i | −0.698664 | − | 1.08714i | −0.991389 | − | 0.130946i | \(-0.958198\pi\) |
0.292725 | − | 0.956197i | \(-0.405438\pi\) | |||||||
\(104\) | 0.361000 | + | 0.561727i | 0.0353990 | + | 0.0550819i | ||||
\(105\) | −4.88065 | − | 5.88785i | −0.476303 | − | 0.574596i | ||||
\(106\) | −2.55060 | − | 8.68655i | −0.247736 | − | 0.843712i | ||||
\(107\) | 0.126948 | − | 0.882943i | 0.0122725 | − | 0.0853573i | −0.982765 | − | 0.184861i | \(-0.940816\pi\) |
0.995037 | + | 0.0995038i | \(0.0317256\pi\) | |||||||
\(108\) | −3.69554 | − | 3.65280i | −0.355604 | − | 0.351491i | ||||
\(109\) | 9.33001 | + | 4.26087i | 0.893653 | + | 0.408118i | 0.808669 | − | 0.588265i | \(-0.200189\pi\) |
0.0849846 | + | 0.996382i | \(0.472916\pi\) | |||||||
\(110\) | −2.52153 | + | 8.58754i | −0.240418 | + | 0.818790i | ||||
\(111\) | −3.09772 | − | 7.19528i | −0.294023 | − | 0.682946i | ||||
\(112\) | −0.989821 | + | 0.142315i | −0.0935293 | + | 0.0134475i | ||||
\(113\) | 7.42439 | + | 4.77136i | 0.698428 | + | 0.448852i | 0.841073 | − | 0.540922i | \(-0.181924\pi\) |
−0.142645 | + | 0.989774i | \(0.545561\pi\) | |||||||
\(114\) | 0.236370 | − | 10.8106i | 0.0221380 | − | 1.01250i | ||||
\(115\) | 21.0445 | + | 2.35233i | 1.96241 | + | 0.219356i | ||||
\(116\) | 1.71619i | 0.159344i | ||||||||
\(117\) | 1.63623 | + | 1.15562i | 0.151270 | + | 0.106837i | ||||
\(118\) | −1.97729 | − | 13.7524i | −0.182024 | − | 1.26601i | ||||
\(119\) | −0.0471686 | + | 0.0215412i | −0.00432393 | + | 0.00197467i | ||||
\(120\) | −7.28908 | − | 2.31450i | −0.665399 | − | 0.211284i | ||||
\(121\) | −2.86272 | + | 6.26849i | −0.260247 | + | 0.569862i | ||||
\(122\) | 5.37586 | − | 6.20407i | 0.486708 | − | 0.561690i | ||||
\(123\) | −3.02440 | + | 18.2012i | −0.272701 | + | 1.64114i | ||||
\(124\) | 8.48275 | − | 2.49076i | 0.761774 | − | 0.223677i | ||||
\(125\) | −27.4571 | − | 31.6872i | −2.45584 | − | 2.83419i | ||||
\(126\) | −2.59224 | + | 1.51006i | −0.230935 | + | 0.134527i | ||||
\(127\) | −5.83082 | + | 3.74724i | −0.517401 | + | 0.332514i | −0.773143 | − | 0.634231i | \(-0.781317\pi\) |
0.255742 | + | 0.966745i | \(0.417680\pi\) | |||||||
\(128\) | −0.755750 | + | 0.654861i | −0.0667995 | + | 0.0578821i | ||||
\(129\) | −7.97838 | + | 2.15439i | −0.702457 | + | 0.189683i | ||||
\(130\) | 2.91828 | + | 0.419585i | 0.255950 | + | 0.0368000i | ||||
\(131\) | 5.54451 | + | 4.80434i | 0.484426 | + | 0.419757i | 0.862530 | − | 0.506006i | \(-0.168879\pi\) |
−0.378104 | + | 0.925763i | \(0.623424\pi\) | |||||||
\(132\) | 3.16097 | + | 1.52794i | 0.275127 | + | 0.132990i | ||||
\(133\) | −5.99009 | − | 1.75885i | −0.519407 | − | 0.152512i | ||||
\(134\) | 1.91345 | + | 4.18987i | 0.165297 | + | 0.361950i | ||||
\(135\) | −22.8748 | + | 1.76982i | −1.96875 | + | 0.152322i | ||||
\(136\) | −0.0280347 | + | 0.0436228i | −0.00240395 | + | 0.00374063i | ||||
\(137\) | 16.3715 | 1.39871 | 0.699357 | − | 0.714773i | \(-0.253470\pi\) | ||||
0.699357 | + | 0.714773i | \(0.253470\pi\) | |||||||
\(138\) | 2.26345 | − | 7.99230i | 0.192678 | − | 0.680349i | ||||
\(139\) | 8.18423 | 0.694177 | 0.347089 | − | 0.937832i | \(-0.387170\pi\) | ||||
0.347089 | + | 0.937832i | \(0.387170\pi\) | |||||||
\(140\) | −2.38715 | + | 3.71448i | −0.201751 | + | 0.313931i | ||||
\(141\) | −0.936555 | − | 7.70627i | −0.0788721 | − | 0.648985i | ||||
\(142\) | 2.29817 | + | 5.03228i | 0.192858 | + | 0.422300i | ||||
\(143\) | −1.29866 | − | 0.381322i | −0.108600 | − | 0.0318877i | ||||
\(144\) | −1.36433 | + | 2.67182i | −0.113694 | + | 0.222651i | ||||
\(145\) | 5.72683 | + | 4.96233i | 0.475587 | + | 0.412099i | ||||
\(146\) | −4.40660 | − | 0.633573i | −0.364692 | − | 0.0524349i | ||||
\(147\) | 0.451530 | + | 1.67216i | 0.0372416 | + | 0.137917i | ||||
\(148\) | −3.41813 | + | 2.96182i | −0.280968 | + | 0.243460i | ||||
\(149\) | −3.00149 | + | 1.92894i | −0.245892 | + | 0.158025i | −0.657782 | − | 0.753209i | \(-0.728505\pi\) |
0.411890 | + | 0.911234i | \(0.364869\pi\) | |||||||
\(150\) | −21.4135 | + | 13.1092i | −1.74841 | + | 1.07036i | ||||
\(151\) | −13.0579 | − | 15.0697i | −1.06264 | − | 1.22635i | −0.973103 | − | 0.230368i | \(-0.926007\pi\) |
−0.0895365 | − | 0.995984i | \(-0.528539\pi\) | |||||||
\(152\) | −5.99009 | + | 1.75885i | −0.485861 | + | 0.142662i | ||||
\(153\) | −0.0288481 | + | 0.152865i | −0.00233223 | + | 0.0123584i | ||||
\(154\) | 1.32741 | − | 1.53191i | 0.106966 | − | 0.123445i | ||||
\(155\) | 16.2162 | − | 35.5085i | 1.30251 | − | 2.85211i | ||||
\(156\) | 0.350013 | − | 1.10230i | 0.0280235 | − | 0.0882547i | ||||
\(157\) | 8.23501 | − | 3.76080i | 0.657225 | − | 0.300145i | −0.0587476 | − | 0.998273i | \(-0.518711\pi\) |
0.715973 | + | 0.698128i | \(0.245983\pi\) | |||||||
\(158\) | 1.60591 | + | 11.1694i | 0.127759 | + | 0.888586i | ||||
\(159\) | −8.76397 | + | 13.0030i | −0.695028 | + | 1.03120i | ||||
\(160\) | 4.41541i | 0.349069i | ||||||||
\(161\) | −4.11413 | − | 2.46454i | −0.324239 | − | 0.194233i | ||||
\(162\) | −0.786000 | + | 8.96561i | −0.0617540 | + | 0.704405i | ||||
\(163\) | −15.2723 | − | 9.81490i | −1.19622 | − | 0.768762i | −0.217920 | − | 0.975967i | \(-0.569927\pi\) |
−0.978298 | + | 0.207205i | \(0.933563\pi\) | |||||||
\(164\) | 10.5441 | − | 1.51601i | 0.823356 | − | 0.118381i | ||||
\(165\) | 14.2385 | − | 6.12998i | 1.10847 | − | 0.477218i | ||||
\(166\) | −0.901678 | + | 3.07083i | −0.0699838 | + | 0.238343i | ||||
\(167\) | −1.51760 | − | 0.693066i | −0.117436 | − | 0.0536311i | 0.355831 | − | 0.934550i | \(-0.384198\pi\) |
−0.473266 | + | 0.880919i | \(0.656925\pi\) | |||||||
\(168\) | 1.28389 | + | 1.16259i | 0.0990542 | + | 0.0896962i | ||||
\(169\) | 1.78664 | − | 12.4264i | 0.137434 | − | 0.955874i | ||||
\(170\) | 0.0645052 | + | 0.219685i | 0.00494733 | + | 0.0168490i | ||||
\(171\) | −14.6769 | + | 11.6345i | −1.12237 | + | 0.889709i | ||||
\(172\) | 2.57956 | + | 4.01387i | 0.196690 | + | 0.306055i | ||||
\(173\) | 2.44573 | + | 3.80563i | 0.185946 | + | 0.289337i | 0.921694 | − | 0.387918i | \(-0.126806\pi\) |
−0.735748 | + | 0.677255i | \(0.763169\pi\) | |||||||
\(174\) | 2.28850 | − | 1.89702i | 0.173491 | − | 0.143813i | ||||
\(175\) | 4.08396 | + | 13.9087i | 0.308718 | + | 1.05140i | ||||
\(176\) | 0.288474 | − | 2.00638i | 0.0217445 | − | 0.151236i | ||||
\(177\) | −16.1528 | + | 17.8381i | −1.21412 | + | 1.34079i | ||||
\(178\) | 3.82882 | + | 1.74856i | 0.286982 | + | 0.131060i | ||||
\(179\) | 0.970294 | − | 3.30452i | 0.0725232 | − | 0.246991i | −0.915251 | − | 0.402885i | \(-0.868008\pi\) |
0.987774 | + | 0.155894i | \(0.0498257\pi\) | |||||||
\(180\) | 4.97077 | + | 12.2782i | 0.370500 | + | 0.915163i | ||||
\(181\) | −11.4251 | + | 1.64268i | −0.849219 | + | 0.122099i | −0.553165 | − | 0.833072i | \(-0.686580\pi\) |
−0.296054 | + | 0.955171i | \(0.595671\pi\) | |||||||
\(182\) | −0.561727 | − | 0.361000i | −0.0416380 | − | 0.0267591i | ||||
\(183\) | −14.2153 | − | 0.310813i | −1.05082 | − | 0.0229759i | ||||
\(184\) | −4.79345 | + | 0.150962i | −0.353378 | + | 0.0111290i | ||||
\(185\) | 19.9702i | 1.46823i | ||||||||
\(186\) | −12.6979 | − | 8.55836i | −0.931058 | − | 0.627529i | ||||
\(187\) | −0.0149587 | − | 0.104040i | −0.00109389 | − | 0.00760814i | ||||
\(188\) | −4.07693 | + | 1.86187i | −0.297340 | + | 0.135791i | ||||
\(189\) | 4.87901 | + | 1.78752i | 0.354896 | + | 0.130023i | ||||
\(190\) | −11.4510 | + | 25.0743i | −0.830746 | + | 1.81908i | ||||
\(191\) | 1.82043 | − | 2.10089i | 0.131722 | − | 0.152015i | −0.686057 | − | 0.727548i | \(-0.740660\pi\) |
0.817779 | + | 0.575533i | \(0.195205\pi\) | |||||||
\(192\) | 1.70862 | + | 0.283914i | 0.123309 | + | 0.0204897i | ||||
\(193\) | −11.7375 | + | 3.44644i | −0.844883 | + | 0.248080i | −0.675399 | − | 0.737453i | \(-0.736028\pi\) |
−0.169484 | + | 0.985533i | \(0.554210\pi\) | |||||||
\(194\) | −7.25483 | − | 8.37252i | −0.520867 | − | 0.601112i | ||||
\(195\) | −2.66626 | − | 4.35525i | −0.190935 | − | 0.311886i | ||||
\(196\) | 0.841254 | − | 0.540641i | 0.0600895 | − | 0.0386172i | ||||
\(197\) | 12.7001 | − | 11.0047i | 0.904844 | − | 0.784052i | −0.0721330 | − | 0.997395i | \(-0.522981\pi\) |
0.976977 | + | 0.213343i | \(0.0684352\pi\) | |||||||
\(198\) | −1.45656 | − | 5.90401i | −0.103513 | − | 0.419580i | ||||
\(199\) | 17.0938 | + | 2.45772i | 1.21175 | + | 0.174223i | 0.718414 | − | 0.695616i | \(-0.244869\pi\) |
0.493335 | + | 0.869839i | \(0.335778\pi\) | |||||||
\(200\) | 10.9552 | + | 9.49277i | 0.774653 | + | 0.671240i | ||||
\(201\) | 3.47204 | − | 7.18290i | 0.244899 | − | 0.506642i | ||||
\(202\) | 6.85851 | + | 2.01384i | 0.482563 | + | 0.141693i | ||||
\(203\) | −0.712931 | − | 1.56110i | −0.0500379 | − | 0.109568i | ||||
\(204\) | 0.0891587 | − | 0.0108356i | 0.00624236 | − | 0.000758643i | ||||
\(205\) | 25.4292 | − | 39.5686i | 1.77605 | − | 2.76359i | ||||
\(206\) | 13.1153 | 0.913786 | ||||||||
\(207\) | −13.1595 | + | 5.81616i | −0.914648 | + | 0.404251i | ||||
\(208\) | −0.667726 | −0.0462985 | ||||||||
\(209\) | 6.84158 | − | 10.6457i | 0.473242 | − | 0.736379i | ||||
\(210\) | 7.59186 | − | 0.922650i | 0.523888 | − | 0.0636689i | ||||
\(211\) | −4.96101 | − | 10.8631i | −0.341530 | − | 0.747846i | 0.658459 | − | 0.752617i | \(-0.271209\pi\) |
−0.999989 | + | 0.00477065i | \(0.998481\pi\) | |||||||
\(212\) | 8.68655 | + | 2.55060i | 0.596595 | + | 0.175176i | ||||
\(213\) | 4.17012 | − | 8.62707i | 0.285732 | − | 0.591117i | ||||
\(214\) | 0.674145 | + | 0.584150i | 0.0460836 | + | 0.0399317i | ||||
\(215\) | 20.8528 | + | 2.99818i | 1.42215 | + | 0.204474i | ||||
\(216\) | 5.07089 | − | 1.13403i | 0.345031 | − | 0.0771613i | ||||
\(217\) | −6.68148 | + | 5.78954i | −0.453569 | + | 0.393020i | ||||
\(218\) | −8.62866 | + | 5.54530i | −0.584407 | + | 0.375575i | ||||
\(219\) | 4.02605 | + | 6.57643i | 0.272055 | + | 0.444394i | ||||
\(220\) | −5.86106 | − | 6.76402i | −0.395152 | − | 0.456030i | ||||
\(221\) | −0.0332221 | + | 0.00975489i | −0.00223476 | + | 0.000656185i | ||||
\(222\) | 7.72781 | + | 1.28409i | 0.518657 | + | 0.0861828i | ||||
\(223\) | −14.1353 | + | 16.3130i | −0.946568 | + | 1.09240i | 0.0490422 | + | 0.998797i | \(0.484383\pi\) |
−0.995610 | + | 0.0936005i | \(0.970162\pi\) | |||||||
\(224\) | 0.415415 | − | 0.909632i | 0.0277561 | − | 0.0607773i | ||||
\(225\) | 41.1506 | + | 14.0639i | 2.74338 | + | 0.937596i | ||||
\(226\) | −8.02785 | + | 3.66620i | −0.534005 | + | 0.243872i | ||||
\(227\) | 1.18873 | + | 8.26779i | 0.0788987 | + | 0.548752i | 0.990483 | + | 0.137638i | \(0.0439512\pi\) |
−0.911584 | + | 0.411114i | \(0.865140\pi\) | |||||||
\(228\) | 8.96664 | + | 6.04348i | 0.593830 | + | 0.400239i | ||||
\(229\) | 25.1715i | 1.66338i | 0.555241 | + | 0.831689i | \(0.312626\pi\) | ||||
−0.555241 | + | 0.831689i | \(0.687374\pi\) | |||||||
\(230\) | −13.3564 | + | 16.4320i | −0.880697 | + | 1.08349i | ||||
\(231\) | −3.51004 | − | 0.0767460i | −0.230944 | − | 0.00504952i | ||||
\(232\) | −1.44375 | − | 0.927842i | −0.0947869 | − | 0.0609158i | ||||
\(233\) | 28.1495 | − | 4.04729i | 1.84414 | − | 0.265147i | 0.870320 | − | 0.492487i | \(-0.163912\pi\) |
0.973815 | + | 0.227340i | \(0.0730030\pi\) | |||||||
\(234\) | −1.85679 | + | 0.751712i | −0.121382 | + | 0.0491409i | ||||
\(235\) | −5.57539 | + | 18.9880i | −0.363698 | + | 1.23864i | ||||
\(236\) | 12.6382 | + | 5.77168i | 0.822678 | + | 0.375705i | ||||
\(237\) | 13.1190 | − | 14.4877i | 0.852169 | − | 0.941076i | ||||
\(238\) | 0.00737967 | − | 0.0513267i | 0.000478353 | − | 0.00332702i | ||||
\(239\) | 4.25691 | + | 14.4977i | 0.275357 | + | 0.937779i | 0.974798 | + | 0.223089i | \(0.0716141\pi\) |
−0.699441 | + | 0.714690i | \(0.746568\pi\) | |||||||
\(240\) | 5.88785 | − | 4.88065i | 0.380059 | − | 0.315045i | ||||
\(241\) | −6.46788 | − | 10.0642i | −0.416633 | − | 0.648293i | 0.567980 | − | 0.823042i | \(-0.307725\pi\) |
−0.984613 | + | 0.174749i | \(0.944089\pi\) | |||||||
\(242\) | −3.72568 | − | 5.79727i | −0.239496 | − | 0.372663i | ||||
\(243\) | 12.8243 | − | 8.86218i | 0.822677 | − | 0.568509i | ||||
\(244\) | 2.31279 | + | 7.87664i | 0.148061 | + | 0.504250i | ||||
\(245\) | 0.628379 | − | 4.37047i | 0.0401456 | − | 0.279219i | ||||
\(246\) | −13.6767 | − | 12.3846i | −0.871993 | − | 0.789612i | ||||
\(247\) | −3.79189 | − | 1.73170i | −0.241272 | − | 0.110185i | ||||
\(248\) | −2.49076 | + | 8.48275i | −0.158163 | + | 0.538655i | ||||
\(249\) | 5.09158 | − | 2.19203i | 0.322666 | − | 0.138914i | ||||
\(250\) | 41.5014 | − | 5.96700i | 2.62478 | − | 0.377386i | ||||
\(251\) | 22.2850 | + | 14.3217i | 1.40662 | + | 0.903978i | 0.999954 | − | 0.00960055i | \(-0.00305600\pi\) |
0.406663 | + | 0.913578i | \(0.366692\pi\) | |||||||
\(252\) | 0.131125 | − | 2.99713i | 0.00826012 | − | 0.188802i | ||||
\(253\) | 7.14276 | − | 6.59413i | 0.449062 | − | 0.414570i | ||||
\(254\) | − | 6.93111i | − | 0.434896i | ||||||
\(255\) | 0.221643 | − | 0.328849i | 0.0138798 | − | 0.0205933i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | −8.05447 | + | 3.67835i | −0.502424 | + | 0.229449i | −0.650471 | − | 0.759531i | \(-0.725429\pi\) |
0.148047 | + | 0.988980i | \(0.452701\pi\) | |||||||
\(258\) | 2.50105 | − | 7.87659i | 0.155709 | − | 0.490375i | ||||
\(259\) | 1.87885 | − | 4.11411i | 0.116746 | − | 0.255638i | ||||
\(260\) | −1.93072 | + | 2.22817i | −0.119738 | + | 0.138185i | ||||
\(261\) | −5.05927 | − | 0.954763i | −0.313161 | − | 0.0590983i | ||||
\(262\) | −7.03925 | + | 2.06691i | −0.434887 | + | 0.127694i | ||||
\(263\) | −6.68517 | − | 7.71509i | −0.412225 | − | 0.475733i | 0.511228 | − | 0.859445i | \(-0.329191\pi\) |
−0.923453 | + | 0.383712i | \(0.874645\pi\) | |||||||
\(264\) | −2.99433 | + | 1.83311i | −0.184288 | + | 0.112820i | ||||
\(265\) | 33.6282 | − | 21.6115i | 2.06576 | − | 1.32759i | ||||
\(266\) | 4.71813 | − | 4.08828i | 0.289287 | − | 0.250669i | ||||
\(267\) | −1.90058 | − | 7.03845i | −0.116314 | − | 0.430746i | ||||
\(268\) | −4.55924 | − | 0.655519i | −0.278500 | − | 0.0400422i | ||||
\(269\) | −5.66262 | − | 4.90669i | −0.345256 | − | 0.299166i | 0.464920 | − | 0.885353i | \(-0.346083\pi\) |
−0.810176 | + | 0.586187i | \(0.800629\pi\) | |||||||
\(270\) | 10.8782 | − | 20.2003i | 0.662025 | − | 1.22935i | ||||
\(271\) | −2.41973 | − | 0.710496i | −0.146988 | − | 0.0431596i | 0.207411 | − | 0.978254i | \(-0.433496\pi\) |
−0.354399 | + | 0.935094i | \(0.615314\pi\) | |||||||
\(272\) | −0.0215412 | − | 0.0471686i | −0.00130612 | − | 0.00286001i | ||||
\(273\) | 0.139529 | + | 1.14809i | 0.00844468 | + | 0.0694855i | ||||
\(274\) | −8.85111 | + | 13.7726i | −0.534715 | + | 0.832033i | ||||
\(275\) | −29.3832 | −1.77188 | ||||||||
\(276\) | 5.49983 | + | 6.22510i | 0.331051 | + | 0.374707i | ||||
\(277\) | 2.57135 | 0.154498 | 0.0772488 | − | 0.997012i | \(-0.475386\pi\) | ||||
0.0772488 | + | 0.997012i | \(0.475386\pi\) | |||||||
\(278\) | −4.42473 | + | 6.88501i | −0.265378 | + | 0.412936i | ||||
\(279\) | 2.62349 | + | 26.3925i | 0.157064 | + | 1.58008i | ||||
\(280\) | −1.83423 | − | 4.01640i | −0.109616 | − | 0.240026i | ||||
\(281\) | −8.98635 | − | 2.63863i | −0.536081 | − | 0.157408i | 0.00247562 | − | 0.999997i | \(-0.499212\pi\) |
−0.538557 | + | 0.842589i | \(0.681030\pi\) | |||||||
\(282\) | 6.98926 | + | 3.37844i | 0.416205 | + | 0.201183i | ||||
\(283\) | −19.6835 | − | 17.0558i | −1.17006 | − | 1.01386i | −0.999594 | − | 0.0285008i | \(-0.990927\pi\) |
−0.170468 | − | 0.985363i | \(-0.554528\pi\) | |||||||
\(284\) | −5.47591 | − | 0.787316i | −0.324935 | − | 0.0467186i | ||||
\(285\) | 46.0936 | − | 12.4466i | 2.73035 | − | 0.737272i | ||||
\(286\) | 1.02290 | − | 0.886346i | 0.0604852 | − | 0.0524107i | ||||
\(287\) | −8.96148 | + | 5.75919i | −0.528980 | + | 0.339955i | ||||
\(288\) | −1.51006 | − | 2.59224i | −0.0889813 | − | 0.152749i | ||||
\(289\) | 11.1309 | + | 12.8457i | 0.654757 | + | 0.755630i | ||||
\(290\) | −7.27073 | + | 2.13488i | −0.426952 | + | 0.125364i | ||||
\(291\) | −3.14532 | + | 18.9289i | −0.184382 | + | 1.10963i | ||||
\(292\) | 2.91538 | − | 3.36453i | 0.170610 | − | 0.196894i | ||||
\(293\) | −5.40088 | + | 11.8263i | −0.315523 | + | 0.690898i | −0.999245 | − | 0.0388438i | \(-0.987633\pi\) |
0.683723 | + | 0.729742i | \(0.260360\pi\) | |||||||
\(294\) | −1.65083 | − | 0.524187i | −0.0962782 | − | 0.0305712i | ||||
\(295\) | 55.8030 | − | 25.4844i | 3.24897 | − | 1.48376i | ||||
\(296\) | −0.643666 | − | 4.47679i | −0.0374123 | − | 0.260208i | ||||
\(297\) | −6.26283 | + | 8.46839i | −0.363406 | + | 0.491386i | ||||
\(298\) | − | 3.56788i | − | 0.206682i | ||||||
\(299\) | −2.48495 | − | 2.01984i | −0.143708 | − | 0.116811i | ||||
\(300\) | 0.548838 | − | 25.1016i | 0.0316872 | − | 1.44924i | ||||
\(301\) | −4.01387 | − | 2.57956i | −0.231356 | − | 0.148683i | ||||
\(302\) | 19.7371 | − | 2.83776i | 1.13574 | − | 0.163295i | ||||
\(303\) | −4.89576 | − | 11.3717i | −0.281254 | − | 0.653287i | ||||
\(304\) | 1.75885 | − | 5.99009i | 0.100877 | − | 0.343555i | ||||
\(305\) | 32.9713 | + | 15.0575i | 1.88793 | + | 0.862189i | ||||
\(306\) | −0.113002 | − | 0.106914i | −0.00645990 | − | 0.00611186i | ||||
\(307\) | 3.77862 | − | 26.2809i | 0.215657 | − | 1.49993i | −0.538158 | − | 0.842844i | \(-0.680880\pi\) |
0.753816 | − | 0.657086i | \(-0.228211\pi\) | |||||||
\(308\) | 0.571075 | + | 1.94490i | 0.0325400 | + | 0.110821i | ||||
\(309\) | −14.4972 | − | 17.4890i | −0.824718 | − | 0.994913i | ||||
\(310\) | 21.1045 | + | 32.8392i | 1.19866 | + | 1.86514i | ||||
\(311\) | −18.5922 | − | 28.9300i | −1.05427 | − | 1.64047i | −0.714003 | − | 0.700142i | \(-0.753120\pi\) |
−0.340264 | − | 0.940330i | \(-0.610516\pi\) | |||||||
\(312\) | 0.738083 | + | 0.890398i | 0.0417857 | + | 0.0504089i | ||||
\(313\) | 1.59868 | + | 5.44461i | 0.0903628 | + | 0.307748i | 0.992256 | − | 0.124212i | \(-0.0396404\pi\) |
−0.901893 | + | 0.431960i | \(0.857822\pi\) | |||||||
\(314\) | −1.28839 | + | 8.96097i | −0.0727083 | + | 0.505697i | ||||
\(315\) | −9.62212 | − | 9.10371i | −0.542145 | − | 0.512936i | ||||
\(316\) | −10.2645 | − | 4.68763i | −0.577422 | − | 0.263700i | ||||
\(317\) | −4.42026 | + | 15.0540i | −0.248267 | + | 0.845519i | 0.737203 | + | 0.675671i | \(0.236146\pi\) |
−0.985470 | + | 0.169848i | \(0.945672\pi\) | |||||||
\(318\) | −6.20066 | − | 14.4027i | −0.347715 | − | 0.807662i | ||||
\(319\) | 3.44332 | − | 0.495075i | 0.192789 | − | 0.0277189i | ||||
\(320\) | −3.71448 | − | 2.38715i | −0.207646 | − | 0.133446i | ||||
\(321\) | 0.0337735 | − | 1.54466i | 0.00188505 | − | 0.0862144i | ||||
\(322\) | 4.29757 | − | 2.12859i | 0.239494 | − | 0.118622i | ||||
\(323\) | − | 0.323727i | − | 0.0180126i | ||||||
\(324\) | −7.11741 | − | 5.50840i | −0.395412 | − | 0.306022i | ||||
\(325\) | 1.37750 | + | 9.58075i | 0.0764101 | + | 0.531444i | ||||
\(326\) | 16.5136 | − | 7.54153i | 0.914606 | − | 0.417686i | ||||
\(327\) | 16.9324 | + | 5.37653i | 0.936363 | + | 0.297323i | ||||
\(328\) | −4.42522 | + | 9.68989i | −0.244342 | + | 0.535034i | ||||
\(329\) | 2.93505 | − | 3.38723i | 0.161815 | − | 0.186744i | ||||
\(330\) | −2.54105 | + | 15.2923i | −0.139880 | + | 0.841814i | ||||
\(331\) | −5.20703 | + | 1.52892i | −0.286204 | + | 0.0840371i | −0.421684 | − | 0.906743i | \(-0.638561\pi\) |
0.135480 | + | 0.990780i | \(0.456743\pi\) | |||||||
\(332\) | −2.09587 | − | 2.41876i | −0.115026 | − | 0.132747i | ||||
\(333\) | −6.82976 | − | 11.7243i | −0.374268 | − | 0.642486i | ||||
\(334\) | 1.40352 | − | 0.901990i | 0.0767974 | − | 0.0493547i | ||||
\(335\) | −15.3704 | + | 13.3185i | −0.839773 | + | 0.727668i | ||||
\(336\) | −1.67216 | + | 0.451530i | −0.0912238 | + | 0.0246330i | ||||
\(337\) | −22.3867 | − | 3.21872i | −1.21948 | − | 0.175335i | −0.497633 | − | 0.867388i | \(-0.665797\pi\) |
−0.721846 | + | 0.692053i | \(0.756706\pi\) | |||||||
\(338\) | 9.48779 | + | 8.22121i | 0.516068 | + | 0.447175i | ||||
\(339\) | 13.7625 | + | 6.65247i | 0.747478 | + | 0.361313i | ||||
\(340\) | −0.219685 | − | 0.0645052i | −0.0119141 | − | 0.00349829i | ||||
\(341\) | −7.44446 | − | 16.3011i | −0.403140 | − | 0.882753i | ||||
\(342\) | −1.85258 | − | 18.6371i | −0.100176 | − | 1.00778i | ||||
\(343\) | −0.540641 | + | 0.841254i | −0.0291919 | + | 0.0454234i | ||||
\(344\) | −4.77130 | −0.257251 | ||||||||
\(345\) | 36.6755 | − | 0.352892i | 1.97454 | − | 0.0189990i | ||||
\(346\) | −4.52376 | −0.243199 | ||||||||
\(347\) | −2.88985 | + | 4.49669i | −0.155135 | + | 0.241395i | −0.910118 | − | 0.414350i | \(-0.864009\pi\) |
0.754982 | + | 0.655745i | \(0.227645\pi\) | |||||||
\(348\) | 0.358617 | + | 2.95082i | 0.0192239 | + | 0.158180i | ||||
\(349\) | −5.82811 | − | 12.7618i | −0.311972 | − | 0.683123i | 0.687084 | − | 0.726578i | \(-0.258891\pi\) |
−0.999055 | + | 0.0434554i | \(0.986163\pi\) | |||||||
\(350\) | −13.9087 | − | 4.08396i | −0.743450 | − | 0.218297i | ||||
\(351\) | 3.05482 | + | 1.64507i | 0.163054 | + | 0.0878072i | ||||
\(352\) | 1.53191 | + | 1.32741i | 0.0816512 | + | 0.0707511i | ||||
\(353\) | 27.7358 | + | 3.98781i | 1.47623 | + | 0.212250i | 0.832935 | − | 0.553370i | \(-0.186659\pi\) |
0.643293 | + | 0.765620i | \(0.277568\pi\) | |||||||
\(354\) | −6.27346 | − | 23.2326i | −0.333431 | − | 1.23480i | ||||
\(355\) | −18.4607 | + | 15.9963i | −0.979792 | + | 0.848995i | ||||
\(356\) | −3.54100 | + | 2.27566i | −0.187673 | + | 0.120610i | ||||
\(357\) | −0.0766003 | + | 0.0468943i | −0.00405412 | + | 0.00248191i | ||||
\(358\) | 2.25536 | + | 2.60282i | 0.119199 | + | 0.137563i | ||||
\(359\) | −25.6623 | + | 7.53514i | −1.35441 | + | 0.397690i | −0.876788 | − | 0.480878i | \(-0.840318\pi\) |
−0.477619 | + | 0.878567i | \(0.658500\pi\) | |||||||
\(360\) | −13.0165 | − | 2.45641i | −0.686029 | − | 0.129464i | ||||
\(361\) | 13.0807 | − | 15.0959i | 0.688457 | − | 0.794521i | ||||
\(362\) | 4.79495 | − | 10.4995i | 0.252017 | − | 0.551840i | ||||
\(363\) | −3.61229 | + | 11.3762i | −0.189596 | + | 0.597097i | ||||
\(364\) | 0.607385 | − | 0.277384i | 0.0318356 | − | 0.0145388i | ||||
\(365\) | −2.79748 | − | 19.4569i | −0.146427 | − | 1.01842i | ||||
\(366\) | 7.94684 | − | 11.7906i | 0.415388 | − | 0.616306i | ||||
\(367\) | 21.6181i | 1.12845i | 0.825620 | + | 0.564227i | \(0.190826\pi\) | ||||
−0.825620 | + | 0.564227i | \(0.809174\pi\) | |||||||
\(368\) | 2.46454 | − | 4.11413i | 0.128473 | − | 0.214464i | ||||
\(369\) | −1.39682 | + | 31.9271i | −0.0727154 | + | 1.66206i | ||||
\(370\) | −16.8000 | − | 10.7967i | −0.873388 | − | 0.561293i | ||||
\(371\) | −8.96112 | + | 1.28841i | −0.465238 | + | 0.0668912i | ||||
\(372\) | 14.0648 | − | 6.05518i | 0.729224 | − | 0.313947i | ||||
\(373\) | −4.40797 | + | 15.0122i | −0.228236 | + | 0.777301i | 0.763138 | + | 0.646236i | \(0.223658\pi\) |
−0.991374 | + | 0.131065i | \(0.958160\pi\) | |||||||
\(374\) | 0.0956111 | + | 0.0436641i | 0.00494393 | + | 0.00225782i | ||||
\(375\) | −53.8311 | − | 48.7454i | −2.77983 | − | 2.51720i | ||||
\(376\) | 0.637848 | − | 4.43633i | 0.0328945 | − | 0.228786i | ||||
\(377\) | −0.322850 | − | 1.09953i | −0.0166276 | − | 0.0566285i | ||||
\(378\) | −4.14155 | + | 3.13808i | −0.213018 | + | 0.161405i | ||||
\(379\) | 14.1110 | + | 21.9571i | 0.724833 | + | 1.12786i | 0.986667 | + | 0.162749i | \(0.0520361\pi\) |
−0.261835 | + | 0.965113i | \(0.584328\pi\) | |||||||
\(380\) | −14.9029 | − | 23.1894i | −0.764504 | − | 1.18959i | ||||
\(381\) | −9.24248 | + | 7.66142i | −0.473507 | + | 0.392506i | ||||
\(382\) | 0.783181 | + | 2.66727i | 0.0400710 | + | 0.136469i | ||||
\(383\) | −2.68821 | + | 18.6969i | −0.137361 | + | 0.955369i | 0.798247 | + | 0.602330i | \(0.205761\pi\) |
−0.935609 | + | 0.353039i | \(0.885148\pi\) | |||||||
\(384\) | −1.16259 | + | 1.28389i | −0.0593284 | + | 0.0655182i | ||||
\(385\) | 8.14128 | + | 3.71800i | 0.414918 | + | 0.189487i | ||||
\(386\) | 3.44644 | − | 11.7375i | 0.175419 | − | 0.597423i | ||||
\(387\) | −13.2678 | + | 5.37143i | −0.674442 | + | 0.273045i | ||||
\(388\) | 10.9657 | − | 1.57663i | 0.556698 | − | 0.0800410i | ||||
\(389\) | 19.3648 | + | 12.4450i | 0.981833 | + | 0.630986i | 0.929957 | − | 0.367667i | \(-0.119844\pi\) |
0.0518761 | + | 0.998654i | \(0.483480\pi\) | |||||||
\(390\) | 5.10536 | + | 0.111627i | 0.258520 | + | 0.00565246i | ||||
\(391\) | 0.0625172 | − | 0.240699i | 0.00316163 | − | 0.0121727i | ||||
\(392\) | 1.00000i | 0.0505076i | ||||||||
\(393\) | 10.5371 | + | 7.10200i | 0.531528 | + | 0.358248i | ||||
\(394\) | 2.39155 | + | 16.6336i | 0.120484 | + | 0.837988i | ||||
\(395\) | −45.3219 | + | 20.6978i | −2.28039 | + | 1.04142i | ||||
\(396\) | 5.75425 | + | 1.96661i | 0.289162 | + | 0.0988260i | ||||
\(397\) | −1.47398 | + | 3.22757i | −0.0739771 | + | 0.161987i | −0.943008 | − | 0.332771i | \(-0.892016\pi\) |
0.869030 | + | 0.494759i | \(0.164744\pi\) | |||||||
\(398\) | −11.3092 | + | 13.0515i | −0.566878 | + | 0.654212i | ||||
\(399\) | −10.6669 | − | 1.77247i | −0.534013 | − | 0.0887344i | ||||
\(400\) | −13.9087 | + | 4.08396i | −0.695434 | + | 0.204198i | ||||
\(401\) | 9.44943 | + | 10.9052i | 0.471882 | + | 0.544581i | 0.940934 | − | 0.338590i | \(-0.109950\pi\) |
−0.469052 | + | 0.883170i | \(0.655404\pi\) | |||||||
\(402\) | 4.16551 | + | 6.80423i | 0.207757 | + | 0.339364i | ||||
\(403\) | −4.96616 | + | 3.19156i | −0.247382 | + | 0.158983i | ||||
\(404\) | −5.40214 | + | 4.68098i | −0.268766 | + | 0.232887i | ||||
\(405\) | −38.9611 | + | 7.82297i | −1.93599 | + | 0.388727i | ||||
\(406\) | 1.69872 | + | 0.244239i | 0.0843061 | + | 0.0121214i | ||||
\(407\) | 6.92857 | + | 6.00364i | 0.343437 | + | 0.297590i | ||||
\(408\) | −0.0390873 | + | 0.0808632i | −0.00193511 | + | 0.00400333i | ||||
\(409\) | −30.0599 | − | 8.82638i | −1.48637 | − | 0.436436i | −0.564986 | − | 0.825100i | \(-0.691118\pi\) |
−0.921379 | + | 0.388664i | \(0.872937\pi\) | |||||||
\(410\) | 19.5392 | + | 42.7848i | 0.964971 | + | 2.11299i | ||||
\(411\) | 28.1492 | − | 3.42102i | 1.38850 | − | 0.168746i | ||||
\(412\) | −7.09067 | + | 11.0333i | −0.349332 | + | 0.543571i | ||||
\(413\) | −13.8938 | −0.683668 | ||||||||
\(414\) | 2.22170 | − | 14.2149i | 0.109191 | − | 0.698625i | ||||
\(415\) | −14.1314 | −0.693684 | ||||||||
\(416\) | 0.361000 | − | 0.561727i | 0.0176995 | − | 0.0275409i | ||||
\(417\) | 14.0720 | − | 1.71019i | 0.689107 | − | 0.0837482i | ||||
\(418\) | 5.25690 | + | 11.5110i | 0.257123 | + | 0.563022i | ||||
\(419\) | −6.84853 | − | 2.01091i | −0.334572 | − | 0.0982393i | 0.110131 | − | 0.993917i | \(-0.464873\pi\) |
−0.444704 | + | 0.895678i | \(0.646691\pi\) | |||||||
\(420\) | −3.32829 | + | 6.88550i | −0.162404 | + | 0.335978i | ||||
\(421\) | −16.5030 | − | 14.2999i | −0.804307 | − | 0.696936i | 0.152294 | − | 0.988335i | \(-0.451334\pi\) |
−0.956602 | + | 0.291399i | \(0.905879\pi\) | |||||||
\(422\) | 11.8207 | + | 1.69957i | 0.575425 | + | 0.0827336i | ||||
\(423\) | −3.22062 | − | 13.0544i | −0.156592 | − | 0.634729i | ||||
\(424\) | −6.84201 | + | 5.92863i | −0.332277 | + | 0.287920i | ||||
\(425\) | −0.632350 | + | 0.406387i | −0.0306735 | + | 0.0197127i | ||||
\(426\) | 5.00302 | + | 8.17227i | 0.242397 | + | 0.395948i | ||||
\(427\) | −5.37586 | − | 6.20407i | −0.260156 | − | 0.300236i | ||||
\(428\) | −0.855889 | + | 0.251312i | −0.0413710 | + | 0.0121476i | ||||
\(429\) | −2.31260 | − | 0.384274i | −0.111653 | − | 0.0185529i | ||||
\(430\) | −13.7961 | + | 15.9216i | −0.665308 | + | 0.767806i | ||||
\(431\) | −4.68412 | + | 10.2568i | −0.225626 | + | 0.494052i | −0.988261 | − | 0.152778i | \(-0.951178\pi\) |
0.762635 | + | 0.646830i | \(0.223905\pi\) | |||||||
\(432\) | −1.78752 | + | 4.87901i | −0.0860022 | + | 0.234742i | ||||
\(433\) | −0.679557 | + | 0.310343i | −0.0326574 | + | 0.0149142i | −0.431677 | − | 0.902028i | \(-0.642078\pi\) |
0.399019 | + | 0.916943i | \(0.369351\pi\) | |||||||
\(434\) | −1.25819 | − | 8.75088i | −0.0603949 | − | 0.420056i | ||||
\(435\) | 10.8836 | + | 7.33554i | 0.521831 | + | 0.351712i | ||||
\(436\) | − | 10.2569i | − | 0.491217i | ||||||
\(437\) | 24.6653 | − | 16.9717i | 1.17990 | − | 0.811869i | ||||
\(438\) | −7.70909 | − | 0.168557i | −0.368355 | − | 0.00805395i | ||||
\(439\) | 2.97992 | + | 1.91508i | 0.142224 | + | 0.0914018i | 0.609818 | − | 0.792542i | \(-0.291243\pi\) |
−0.467594 | + | 0.883943i | \(0.654879\pi\) | |||||||
\(440\) | 8.85898 | − | 1.27373i | 0.422335 | − | 0.0607227i | ||||
\(441\) | 1.12578 | + | 2.78076i | 0.0536085 | + | 0.132417i | ||||
\(442\) | 0.00975489 | − | 0.0332221i | 0.000463993 | − | 0.00158021i | ||||
\(443\) | −2.87841 | − | 1.31453i | −0.136758 | − | 0.0624551i | 0.345861 | − | 0.938286i | \(-0.387587\pi\) |
−0.482618 | + | 0.875831i | \(0.660314\pi\) | |||||||
\(444\) | −5.25822 | + | 5.80681i | −0.249544 | + | 0.275579i | ||||
\(445\) | −2.64497 | + | 18.3962i | −0.125384 | + | 0.872062i | ||||
\(446\) | −6.08124 | − | 20.7108i | −0.287955 | − | 0.980685i | ||||
\(447\) | −4.75769 | + | 3.94382i | −0.225031 | + | 0.186536i | ||||
\(448\) | 0.540641 | + | 0.841254i | 0.0255429 | + | 0.0397455i | ||||
\(449\) | 5.46498 | + | 8.50367i | 0.257908 | + | 0.401313i | 0.945927 | − | 0.324380i | \(-0.105156\pi\) |
−0.688019 | + | 0.725693i | \(0.741519\pi\) | |||||||
\(450\) | −34.0791 | + | 27.0146i | −1.60650 | + | 1.27348i | ||||
\(451\) | −6.08339 | − | 20.7181i | −0.286456 | − | 0.975579i | ||||
\(452\) | 1.25598 | − | 8.73556i | 0.0590765 | − | 0.410886i | ||||
\(453\) | −25.6008 | − | 23.1822i | −1.20283 | − | 1.08919i | ||||
\(454\) | −7.59798 | − | 3.46988i | −0.356591 | − | 0.162850i | ||||
\(455\) | 0.830628 | − | 2.82886i | 0.0389405 | − | 0.132619i | ||||
\(456\) | −9.93183 | + | 4.27586i | −0.465101 | + | 0.200236i | ||||
\(457\) | 14.2769 | − | 2.05270i | 0.667843 | − | 0.0960214i | 0.199950 | − | 0.979806i | \(-0.435922\pi\) |
0.467894 | + | 0.883785i | \(0.345013\pi\) | |||||||
\(458\) | −21.1756 | − | 13.6087i | −0.989471 | − | 0.635894i | ||||
\(459\) | −0.0176584 | + | 0.268865i | −0.000824226 | + | 0.0125495i | ||||
\(460\) | −6.60245 | − | 20.1200i | −0.307841 | − | 0.938098i | ||||
\(461\) | 21.0570i | 0.980722i | 0.871519 | + | 0.490361i | \(0.163135\pi\) | ||||
−0.871519 | + | 0.490361i | \(0.836865\pi\) | |||||||
\(462\) | 1.96224 | − | 2.91135i | 0.0912915 | − | 0.135448i | ||||
\(463\) | 0.338015 | + | 2.35094i | 0.0157089 | + | 0.109258i | 0.996167 | − | 0.0874691i | \(-0.0278779\pi\) |
−0.980458 | + | 0.196727i | \(0.936969\pi\) | |||||||
\(464\) | 1.56110 | − | 0.712931i | 0.0724723 | − | 0.0330970i | ||||
\(465\) | 20.4622 | − | 64.4418i | 0.948911 | − | 2.98842i | ||||
\(466\) | −11.8140 | + | 25.8690i | −0.547272 | + | 1.19836i | ||||
\(467\) | 2.51957 | − | 2.90774i | 0.116592 | − | 0.134554i | −0.694453 | − | 0.719538i | \(-0.744354\pi\) |
0.811045 | + | 0.584984i | \(0.198899\pi\) | |||||||
\(468\) | 0.371474 | − | 1.96843i | 0.0171714 | − | 0.0909909i | ||||
\(469\) | 4.41954 | − | 1.29769i | 0.204075 | − | 0.0599220i | ||||
\(470\) | −12.9595 | − | 14.9560i | −0.597776 | − | 0.689870i | ||||
\(471\) | 13.3734 | − | 8.18712i | 0.616214 | − | 0.377243i | ||||
\(472\) | −11.6882 | + | 7.51154i | −0.537993 | + | 0.345747i | ||||
\(473\) | 7.30921 | − | 6.33347i | 0.336078 | − | 0.291213i | ||||
\(474\) | 5.09517 | + | 18.8690i | 0.234029 | + | 0.866683i | ||||
\(475\) | −89.5762 | − | 12.8791i | −4.11004 | − | 0.590934i | ||||
\(476\) | 0.0391890 | + | 0.0339575i | 0.00179623 | + | 0.00155644i | ||||
\(477\) | −12.3516 | + | 24.1887i | −0.565543 | + | 1.10752i | ||||
\(478\) | −14.4977 | − | 4.25691i | −0.663110 | − | 0.194707i | ||||
\(479\) | −15.6881 | − | 34.3522i | −0.716809 | − | 1.56959i | −0.818323 | − | 0.574758i | \(-0.805096\pi\) |
0.101514 | − | 0.994834i | \(-0.467631\pi\) | |||||||
\(480\) | 0.922650 | + | 7.59186i | 0.0421130 | + | 0.346519i | ||||
\(481\) | 1.63274 | − | 2.54060i | 0.0744466 | − | 0.115841i | ||||
\(482\) | 11.9634 | 0.544916 | ||||||||
\(483\) | −7.58882 | − | 3.37784i | −0.345303 | − | 0.153697i | ||||
\(484\) | 6.89123 | 0.313238 | ||||||||
\(485\) | 26.4459 | − | 41.1506i | 1.20085 | − | 1.86855i | ||||
\(486\) | 0.522017 | + | 15.5797i | 0.0236792 | + | 0.706710i | ||||
\(487\) | 11.9106 | + | 26.0806i | 0.539722 | + | 1.18183i | 0.961419 | + | 0.275090i | \(0.0887076\pi\) |
−0.421696 | + | 0.906737i | \(0.638565\pi\) | |||||||
\(488\) | −7.87664 | − | 2.31279i | −0.356559 | − | 0.104695i | ||||
\(489\) | −28.3101 | − | 13.6844i | −1.28023 | − | 0.618831i | ||||
\(490\) | 3.33695 | + | 2.89148i | 0.150748 | + | 0.130624i | ||||
\(491\) | −20.1840 | − | 2.90201i | −0.910889 | − | 0.130966i | −0.329090 | − | 0.944299i | \(-0.606742\pi\) |
−0.581799 | + | 0.813332i | \(0.697651\pi\) | |||||||
\(492\) | 17.8127 | − | 4.80994i | 0.803061 | − | 0.216849i | ||||
\(493\) | 0.0672558 | − | 0.0582775i | 0.00302905 | − | 0.00262469i | ||||
\(494\) | 3.50685 | − | 2.25372i | 0.157781 | − | 0.101399i | ||||
\(495\) | 23.2008 | − | 13.5152i | 1.04280 | − | 0.607462i | ||||
\(496\) | −5.78954 | − | 6.68148i | −0.259958 | − | 0.300008i | ||||
\(497\) | 5.30812 | − | 1.55861i | 0.238102 | − | 0.0699130i | ||||
\(498\) | −0.908660 | + | 5.46841i | −0.0407180 | + | 0.245045i | ||||
\(499\) | 0.163169 | − | 0.188307i | 0.00730445 | − | 0.00842979i | −0.752086 | − | 0.659065i | \(-0.770952\pi\) |
0.759390 | + | 0.650636i | \(0.225497\pi\) | |||||||
\(500\) | −17.4176 | + | 38.1392i | −0.778938 | + | 1.70564i | ||||
\(501\) | −2.75419 | − | 0.874538i | −0.123048 | − | 0.0390715i | ||||
\(502\) | −24.0964 | + | 11.0044i | −1.07547 | + | 0.491152i | ||||
\(503\) | −0.435009 | − | 3.02556i | −0.0193961 | − | 0.134903i | 0.977822 | − | 0.209435i | \(-0.0671626\pi\) |
−0.997219 | + | 0.0745326i | \(0.976254\pi\) | |||||||
\(504\) | 2.45046 | + | 1.73068i | 0.109152 | + | 0.0770907i | ||||
\(505\) | 31.5616i | 1.40447i | ||||||||
\(506\) | 1.68567 | + | 9.57393i | 0.0749372 | + | 0.425613i | ||||
\(507\) | 0.475321 | − | 21.7392i | 0.0211097 | − | 0.965472i | ||||
\(508\) | 5.83082 | + | 3.74724i | 0.258701 | + | 0.166257i | ||||
\(509\) | 11.2273 | − | 1.61424i | 0.497641 | − | 0.0715500i | 0.111076 | − | 0.993812i | \(-0.464570\pi\) |
0.386566 | + | 0.922262i | \(0.373661\pi\) | |||||||
\(510\) | 0.156816 | + | 0.364247i | 0.00694393 | + | 0.0161291i | ||||
\(511\) | −1.25425 | + | 4.27158i | −0.0554847 | + | 0.188963i | ||||
\(512\) | 0.909632 | + | 0.415415i | 0.0402004 | + | 0.0183589i | ||||
\(513\) | −22.8044 | + | 23.0712i | −1.00684 | + | 1.01862i | ||||
\(514\) | 1.26015 | − | 8.76452i | 0.0555827 | − | 0.386586i | ||||
\(515\) | 16.3150 | + | 55.5637i | 0.718924 | + | 2.44843i | ||||
\(516\) | 5.27404 | + | 6.36242i | 0.232177 | + | 0.280090i | ||||
\(517\) | 4.91170 | + | 7.64275i | 0.216016 | + | 0.336128i | ||||
\(518\) | 2.44523 | + | 3.80485i | 0.107437 | + | 0.167175i | ||||
\(519\) | 5.00042 | + | 6.03234i | 0.219494 | + | 0.264790i | ||||
\(520\) | −0.830628 | − | 2.82886i | −0.0364255 | − | 0.124054i | ||||
\(521\) | 0.633522 | − | 4.40624i | 0.0277551 | − | 0.193041i | −0.971227 | − | 0.238157i | \(-0.923457\pi\) |
0.998982 | + | 0.0451161i | \(0.0143658\pi\) | |||||||
\(522\) | 3.53844 | − | 3.73994i | 0.154874 | − | 0.163693i | ||||
\(523\) | −34.6346 | − | 15.8171i | −1.51446 | − | 0.691632i | −0.527056 | − | 0.849830i | \(-0.676704\pi\) |
−0.987407 | + | 0.158198i | \(0.949432\pi\) | |||||||
\(524\) | 2.06691 | − | 7.03925i | 0.0902935 | − | 0.307511i | ||||
\(525\) | 9.92833 | + | 23.0612i | 0.433308 | + | 1.00647i | ||||
\(526\) | 10.1046 | − | 1.45283i | 0.440583 | − | 0.0633462i | ||||
\(527\) | −0.385664 | − | 0.247851i | −0.0167998 | − | 0.0107966i | ||||
\(528\) | 0.0767460 | − | 3.51004i | 0.00333994 | − | 0.152755i | ||||
\(529\) | 21.6169 | − | 7.85564i | 0.939864 | − | 0.341550i | ||||
\(530\) | 39.9739i | 1.73636i | ||||||||
\(531\) | −24.0457 | + | 34.0461i | −1.04350 | + | 1.47748i | ||||
\(532\) | 0.888468 | + | 6.17943i | 0.0385200 | + | 0.267912i | ||||
\(533\) | −6.47019 | + | 2.95484i | −0.280255 | + | 0.127988i | ||||
\(534\) | 6.94866 | + | 2.20640i | 0.300698 | + | 0.0954805i | ||||
\(535\) | −1.63617 | + | 3.58272i | −0.0707379 | + | 0.154894i | ||||
\(536\) | 3.01637 | − | 3.48107i | 0.130287 | − | 0.150359i | ||||
\(537\) | 0.977807 | − | 5.88454i | 0.0421955 | − | 0.253937i | ||||
\(538\) | 7.18921 | − | 2.11094i | 0.309949 | − | 0.0910093i | ||||
\(539\) | −1.32741 | − | 1.53191i | −0.0571755 | − | 0.0659841i | ||||
\(540\) | 11.1124 | + | 20.0724i | 0.478202 | + | 0.863780i | ||||
\(541\) | 18.5041 | − | 11.8918i | 0.795552 | − | 0.511270i | −0.0786097 | − | 0.996905i | \(-0.525048\pi\) |
0.874161 | + | 0.485635i | \(0.161412\pi\) | |||||||
\(542\) | 1.90591 | − | 1.65148i | 0.0818659 | − | 0.0709372i | ||||
\(543\) | −19.3010 | + | 5.21182i | −0.828286 | + | 0.223660i | ||||
\(544\) | 0.0513267 | + | 0.00737967i | 0.00220062 | + | 0.000316401i | ||||
\(545\) | −34.2268 | − | 29.6576i | −1.46611 | − | 1.27039i | ||||
\(546\) | −1.04127 | − | 0.503324i | −0.0445622 | − | 0.0215403i | ||||
\(547\) | 17.6330 | + | 5.17753i | 0.753934 | + | 0.221375i | 0.636045 | − | 0.771652i | \(-0.280569\pi\) |
0.117889 | + | 0.993027i | \(0.462387\pi\) | |||||||
\(548\) | −6.80098 | − | 14.8921i | −0.290523 | − | 0.636157i | ||||
\(549\) | −24.5067 | + | 2.43604i | −1.04592 | + | 0.103967i | ||||
\(550\) | 15.8858 | − | 24.7188i | 0.677372 | − | 1.05401i | ||||
\(551\) | 10.7141 | 0.456437 | ||||||||
\(552\) | −8.21032 | + | 1.26121i | −0.349454 | + | 0.0536807i | ||||
\(553\) | 11.2842 | 0.479854 | ||||||||
\(554\) | −1.39018 | + | 2.16316i | −0.0590630 | + | 0.0919038i | ||||
\(555\) | 4.17299 | + | 34.3367i | 0.177134 | + | 1.45751i | ||||
\(556\) | −3.39985 | − | 7.44464i | −0.144186 | − | 0.315723i | ||||
\(557\) | −6.39101 | − | 1.87657i | −0.270796 | − | 0.0795128i | 0.143516 | − | 0.989648i | \(-0.454159\pi\) |
−0.414311 | + | 0.910135i | \(0.635977\pi\) | |||||||
\(558\) | −23.6212 | − | 12.0619i | −0.999965 | − | 0.510619i | ||||
\(559\) | −2.40776 | − | 2.08634i | −0.101837 | − | 0.0882426i | ||||
\(560\) | 4.37047 | + | 0.628379i | 0.184686 | + | 0.0265538i | ||||
\(561\) | −0.0474602 | − | 0.175760i | −0.00200377 | − | 0.00742060i | ||||
\(562\) | 7.07815 | − | 6.13325i | 0.298574 | − | 0.258716i | ||||
\(563\) | 6.23553 | − | 4.00733i | 0.262796 | − | 0.168889i | −0.402607 | − | 0.915373i | \(-0.631896\pi\) |
0.665403 | + | 0.746484i | \(0.268260\pi\) | |||||||
\(564\) | −6.62081 | + | 4.05322i | −0.278786 | + | 0.170671i | ||||
\(565\) | −25.5184 | − | 29.4498i | −1.07357 | − | 1.23896i | ||||
\(566\) | 24.9900 | − | 7.33772i | 1.05041 | − | 0.308427i | ||||
\(567\) | 8.76250 | + | 2.05394i | 0.367990 | + | 0.0862574i | ||||
\(568\) | 3.62283 | − | 4.18097i | 0.152011 | − | 0.175430i | ||||
\(569\) | −6.51287 | + | 14.2612i | −0.273034 | + | 0.597861i | −0.995628 | − | 0.0934123i | \(-0.970223\pi\) |
0.722594 | + | 0.691273i | \(0.242950\pi\) | |||||||
\(570\) | −14.4494 | + | 45.5055i | −0.605217 | + | 1.90602i | ||||
\(571\) | 25.1837 | − | 11.5010i | 1.05390 | − | 0.481302i | 0.188342 | − | 0.982103i | \(-0.439689\pi\) |
0.865562 | + | 0.500802i | \(0.166961\pi\) | |||||||
\(572\) | 0.192621 | + | 1.33971i | 0.00805390 | + | 0.0560161i | ||||
\(573\) | 2.69104 | − | 3.99267i | 0.112420 | − | 0.166796i | ||||
\(574\) | − | 10.6525i | − | 0.444628i | ||||||
\(575\) | −64.1151 | − | 26.8747i | −2.67378 | − | 1.12075i | ||||
\(576\) | 2.99713 | + | 0.131125i | 0.124881 | + | 0.00546356i | ||||
\(577\) | 21.2370 | + | 13.6482i | 0.884106 | + | 0.568181i | 0.902037 | − | 0.431659i | \(-0.142071\pi\) |
−0.0179306 | + | 0.999839i | \(0.505708\pi\) | |||||||
\(578\) | −16.8243 | + | 2.41897i | −0.699799 | + | 0.100616i | ||||
\(579\) | −19.4613 | + | 8.37849i | −0.808783 | + | 0.348198i | ||||
\(580\) | 2.13488 | − | 7.27073i | 0.0886461 | − | 0.301901i | ||||
\(581\) | 2.91126 | + | 1.32953i | 0.120779 | + | 0.0551580i | ||||
\(582\) | −14.2235 | − | 12.8797i | −0.589583 | − | 0.533882i | ||||
\(583\) | 2.61163 | − | 18.1643i | 0.108163 | − | 0.752287i | ||||
\(584\) | 1.25425 | + | 4.27158i | 0.0519011 | + | 0.176759i | ||||
\(585\) | −5.49445 | − | 6.93128i | −0.227167 | − | 0.286573i | ||||
\(586\) | −7.02896 | − | 10.9373i | −0.290364 | − | 0.451814i | ||||
\(587\) | 8.75666 | + | 13.6256i | 0.361426 | + | 0.562390i | 0.973579 | − | 0.228349i | \(-0.0733328\pi\) |
−0.612153 | + | 0.790739i | \(0.709696\pi\) | |||||||
\(588\) | 1.33348 | − | 1.10537i | 0.0549917 | − | 0.0455846i | ||||
\(589\) | −15.5498 | − | 52.9576i | −0.640717 | − | 2.18208i | ||||
\(590\) | −8.73055 | + | 60.7223i | −0.359431 | + | 2.49990i | ||||
\(591\) | 19.5370 | − | 21.5753i | 0.803644 | − | 0.887489i | ||||
\(592\) | 4.11411 | + | 1.87885i | 0.169089 | + | 0.0772203i | ||||
\(593\) | 12.2193 | − | 41.6152i | 0.501788 | − | 1.70893i | −0.185585 | − | 0.982628i | \(-0.559418\pi\) |
0.687373 | − | 0.726304i | \(-0.258764\pi\) | |||||||
\(594\) | −3.73812 | − | 9.84699i | −0.153377 | − | 0.404027i | ||||
\(595\) | 0.226629 | − | 0.0325843i | 0.00929087 | − | 0.00133583i | ||||
\(596\) | 3.00149 | + | 1.92894i | 0.122946 | + | 0.0790125i | ||||
\(597\) | 29.9047 | + | 0.653856i | 1.22392 | + | 0.0267605i | ||||
\(598\) | 3.04267 | − | 0.998464i | 0.124424 | − | 0.0408302i | ||||
\(599\) | − | 42.5512i | − | 1.73859i | −0.494291 | − | 0.869297i | \(-0.664572\pi\) | ||
0.494291 | − | 0.869297i | \(-0.335428\pi\) | |||||||
\(600\) | 20.8201 | + | 14.0326i | 0.849975 | + | 0.572880i | ||||
\(601\) | 0.934758 | + | 6.50138i | 0.0381296 | + | 0.265197i | 0.999964 | − | 0.00843361i | \(-0.00268453\pi\) |
−0.961835 | + | 0.273631i | \(0.911775\pi\) | |||||||
\(602\) | 4.34013 | − | 1.98207i | 0.176890 | − | 0.0807831i | ||||
\(603\) | 4.46888 | − | 13.0758i | 0.181987 | − | 0.532487i | ||||
\(604\) | −8.28339 | + | 18.1381i | −0.337046 | + | 0.738028i | ||||
\(605\) | 19.9259 | − | 22.9957i | 0.810101 | − | 0.934907i | ||||
\(606\) | 12.2133 | + | 2.02943i | 0.496133 | + | 0.0824400i | ||||
\(607\) | −19.4231 | + | 5.70313i | −0.788359 | + | 0.231483i | −0.651040 | − | 0.759044i | \(-0.725667\pi\) |
−0.137319 | + | 0.990527i | \(0.543849\pi\) | |||||||
\(608\) | 4.08828 | + | 4.71813i | 0.165802 | + | 0.191345i | ||||
\(609\) | −1.55202 | − | 2.53518i | −0.0628911 | − | 0.102731i | ||||
\(610\) | −30.4928 | + | 19.5965i | −1.23462 | + | 0.793440i | ||||
\(611\) | 2.26174 | − | 1.95981i | 0.0915004 | − | 0.0792856i | ||||
\(612\) | 0.151035 | − | 0.0372614i | 0.00610524 | − | 0.00150620i | ||||
\(613\) | 7.49726 | + | 1.07794i | 0.302812 | + | 0.0435377i | 0.292046 | − | 0.956404i | \(-0.405664\pi\) |
0.0107657 | + | 0.999942i | \(0.496573\pi\) | |||||||
\(614\) | 20.0660 | + | 17.3873i | 0.809798 | + | 0.701694i | ||||
\(615\) | 35.4547 | − | 73.3480i | 1.42967 | − | 2.95768i | ||||
\(616\) | −1.94490 | − | 0.571075i | −0.0783623 | − | 0.0230092i | ||||
\(617\) | 10.3828 | + | 22.7353i | 0.417998 | + | 0.915287i | 0.995124 | + | 0.0986324i | \(0.0314468\pi\) |
−0.577126 | + | 0.816655i | \(0.695826\pi\) | |||||||
\(618\) | 22.5504 | − | 2.74059i | 0.907112 | − | 0.110243i | ||||
\(619\) | 16.7628 | − | 26.0835i | 0.673756 | − | 1.04838i | −0.321096 | − | 0.947047i | \(-0.604051\pi\) |
0.994852 | − | 0.101338i | \(-0.0323123\pi\) | |||||||
\(620\) | −39.0361 | −1.56773 | ||||||||
\(621\) | −21.4111 | + | 12.7501i | −0.859197 | + | 0.511645i | ||||
\(622\) | 34.3892 | 1.37888 | ||||||||
\(623\) | 2.27566 | − | 3.54100i | 0.0911726 | − | 0.141867i | ||||
\(624\) | −1.14809 | + | 0.139529i | −0.0459603 | + | 0.00558563i | ||||
\(625\) | 46.7968 | + | 102.471i | 1.87187 | + | 4.09883i | ||||
\(626\) | −5.44461 | − | 1.59868i | −0.217610 | − | 0.0638962i | ||||
\(627\) | 9.53887 | − | 19.7338i | 0.380946 | − | 0.788094i | ||||
\(628\) | −6.84189 | − | 5.92853i | −0.273021 | − | 0.236574i | ||||
\(629\) | 0.232142 | + | 0.0333770i | 0.00925611 | + | 0.00133083i | ||||
\(630\) | 12.8606 | − | 3.17281i | 0.512380 | − | 0.126408i | ||||
\(631\) | 2.67179 | − | 2.31512i | 0.106362 | − | 0.0921633i | −0.600056 | − | 0.799958i | \(-0.704855\pi\) |
0.706418 | + | 0.707794i | \(0.250310\pi\) | |||||||
\(632\) | 9.49289 | − | 6.10071i | 0.377607 | − | 0.242673i | ||||
\(633\) | −10.7999 | − | 17.6413i | −0.429258 | − | 0.701180i | ||||
\(634\) | −10.2745 | − | 11.8574i | −0.408052 | − | 0.470917i | ||||
\(635\) | 29.3640 | − | 8.62206i | 1.16528 | − | 0.342156i | ||||
\(636\) | 15.4686 | + | 2.57035i | 0.613371 | + | 0.101921i | ||||
\(637\) | −0.437268 | + | 0.504634i | −0.0173252 | + | 0.0199943i | ||||
\(638\) | −1.44512 | + | 3.16437i | −0.0572128 | + | 0.125278i | ||||
\(639\) | 5.36738 | − | 15.7048i | 0.212330 | − | 0.621271i | ||||
\(640\) | 4.01640 | − | 1.83423i | 0.158762 | − | 0.0725042i | ||||
\(641\) | −0.866219 | − | 6.02469i | −0.0342136 | − | 0.237961i | 0.965538 | − | 0.260263i | \(-0.0838094\pi\) |
−0.999751 | + | 0.0223025i | \(0.992900\pi\) | |||||||
\(642\) | 1.28119 | + | 0.863518i | 0.0505645 | + | 0.0340803i | ||||
\(643\) | 31.2785i | 1.23350i | 0.787158 | + | 0.616752i | \(0.211552\pi\) | ||||
−0.787158 | + | 0.616752i | \(0.788448\pi\) | |||||||
\(644\) | −0.532755 | + | 4.76615i | −0.0209935 | + | 0.187813i | ||||
\(645\) | 36.4808 | + | 0.797642i | 1.43643 | + | 0.0314071i | ||||
\(646\) | 0.272336 | + | 0.175020i | 0.0107149 | + | 0.00688606i | ||||
\(647\) | −20.9630 | + | 3.01402i | −0.824139 | + | 0.118493i | −0.541466 | − | 0.840723i | \(-0.682130\pi\) |
−0.282674 | + | 0.959216i | \(0.591221\pi\) | |||||||
\(648\) | 8.48192 | − | 3.00948i | 0.333201 | − | 0.118223i | ||||
\(649\) | 7.93438 | − | 27.0220i | 0.311452 | − | 1.06071i | ||||
\(650\) | −8.80457 | − | 4.02091i | −0.345344 | − | 0.157713i | ||||
\(651\) | −10.2784 | + | 11.3507i | −0.402840 | + | 0.444869i | ||||
\(652\) | −2.58361 | + | 17.9694i | −0.101182 | + | 0.703736i | ||||
\(653\) | −6.25652 | − | 21.3078i | −0.244837 | − | 0.833837i | −0.986598 | − | 0.163172i | \(-0.947827\pi\) |
0.741761 | − | 0.670664i | \(-0.233991\pi\) | |||||||
\(654\) | −13.6774 | + | 11.3377i | −0.534827 | + | 0.443337i | ||||
\(655\) | −17.5132 | − | 27.2510i | −0.684296 | − | 1.06479i | ||||
\(656\) | −5.75919 | − | 8.96148i | −0.224859 | − | 0.349887i | ||||
\(657\) | 8.29661 | + | 10.4662i | 0.323682 | + | 0.408326i | ||||
\(658\) | 1.26271 | + | 4.30040i | 0.0492256 | + | 0.167647i | ||||
\(659\) | −4.61985 | + | 32.1318i | −0.179964 | + | 1.25168i | 0.676877 | + | 0.736096i | \(0.263333\pi\) |
−0.856841 | + | 0.515581i | \(0.827576\pi\) | |||||||
\(660\) | −11.4909 | − | 10.4053i | −0.447283 | − | 0.405027i | ||||
\(661\) | 1.82895 | + | 0.835254i | 0.0711380 | + | 0.0324876i | 0.450666 | − | 0.892692i | \(-0.351186\pi\) |
−0.379528 | + | 0.925180i | \(0.623914\pi\) | |||||||
\(662\) | 1.52892 | − | 5.20703i | 0.0594232 | − | 0.202377i | ||||
\(663\) | −0.0550837 | + | 0.0237147i | −0.00213927 | + | 0.000921002i | ||||
\(664\) | 3.16790 | − | 0.455475i | 0.122938 | − | 0.0176759i | ||||
\(665\) | 23.1894 | + | 14.9029i | 0.899247 | + | 0.577911i | ||||
\(666\) | 13.5555 | + | 0.593058i | 0.525266 | + | 0.0229805i | ||||
\(667\) | 7.96624 | + | 2.06908i | 0.308454 | + | 0.0801152i | ||||
\(668\) | 1.66837i | 0.0645512i | ||||||||
\(669\) | −20.8954 | + | 31.0022i | −0.807863 | + | 1.19862i | ||||
\(670\) | −2.89439 | − | 20.1309i | −0.111820 | − | 0.777725i | ||||
\(671\) | 15.1363 | − | 6.91253i | 0.584331 | − | 0.266855i | ||||
\(672\) | 0.524187 | − | 1.65083i | 0.0202209 | − | 0.0636820i | ||||
\(673\) | −17.2423 | + | 37.7553i | −0.664641 | + | 1.45536i | 0.213493 | + | 0.976945i | \(0.431516\pi\) |
−0.878134 | + | 0.478415i | \(0.841211\pi\) | |||||||
\(674\) | 14.8109 | − | 17.0927i | 0.570494 | − | 0.658386i | ||||
\(675\) | 73.6932 | + | 15.5826i | 2.83645 | + | 0.599776i | ||||
\(676\) | −12.0456 | + | 3.53691i | −0.463293 | + | 0.136035i | ||||
\(677\) | 12.7613 | + | 14.7273i | 0.490455 | + | 0.566016i | 0.945987 | − | 0.324204i | \(-0.105096\pi\) |
−0.455532 | + | 0.890219i | \(0.650551\pi\) | |||||||
\(678\) | −13.0370 | + | 7.98117i | −0.500683 | + | 0.306515i | ||||
\(679\) | −9.31977 | + | 5.98945i | −0.357660 | + | 0.229854i | ||||
\(680\) | 0.173036 | − | 0.149936i | 0.00663562 | − | 0.00574980i | ||||
\(681\) | 3.77155 | + | 13.9672i | 0.144526 | + | 0.535226i | ||||
\(682\) | 17.7381 | + | 2.55036i | 0.679228 | + | 0.0976582i | ||||
\(683\) | −15.1524 | − | 13.1296i | −0.579789 | − | 0.502390i | 0.314873 | − | 0.949134i | \(-0.398038\pi\) |
−0.894662 | + | 0.446744i | \(0.852584\pi\) | |||||||
\(684\) | 16.6801 | + | 8.51748i | 0.637779 | + | 0.325674i | ||||
\(685\) | −69.3589 | − | 20.3656i | −2.65007 | − | 0.778130i | ||||
\(686\) | −0.415415 | − | 0.909632i | −0.0158606 | − | 0.0347299i | ||||
\(687\) | 5.25987 | + | 43.2798i | 0.200676 | + | 1.65123i | ||||
\(688\) | 2.57956 | − | 4.01387i | 0.0983448 | − | 0.153028i | ||||
\(689\) | −6.04511 | −0.230300 | ||||||||
\(690\) | −19.5314 | + | 31.0442i | −0.743547 | + | 1.18183i | ||||
\(691\) | −31.8766 | −1.21264 | −0.606322 | − | 0.795219i | \(-0.707356\pi\) | ||||
−0.606322 | + | 0.795219i | \(0.707356\pi\) | |||||||
\(692\) | 2.44573 | − | 3.80563i | 0.0929728 | − | 0.144668i | ||||
\(693\) | −6.05121 | + | 0.601506i | −0.229866 | + | 0.0228493i | ||||
\(694\) | −2.22049 | − | 4.86219i | −0.0842886 | − | 0.184566i | ||||
\(695\) | −34.6729 | − | 10.1809i | −1.31522 | − | 0.386183i | ||||
\(696\) | −2.67627 | − | 1.29364i | −0.101444 | − | 0.0490354i | ||||
\(697\) | −0.417463 | − | 0.361733i | −0.0158125 | − | 0.0137016i | ||||
\(698\) | 13.8868 | + | 1.99662i | 0.525624 | + | 0.0755733i | ||||
\(699\) | 47.5545 | − | 12.8411i | 1.79868 | − | 0.485694i | ||||
\(700\) | 10.9552 | − | 9.49277i | 0.414069 | − | 0.358793i | ||||
\(701\) | 0.804545 | − | 0.517050i | 0.0303873 | − | 0.0195287i | −0.525359 | − | 0.850881i | \(-0.676069\pi\) |
0.555746 | + | 0.831352i | \(0.312433\pi\) | |||||||
\(702\) | −3.03548 | + | 1.68049i | −0.114567 | + | 0.0634260i | ||||
\(703\) | 18.4906 | + | 21.3393i | 0.697386 | + | 0.804826i | ||||
\(704\) | −1.94490 | + | 0.571075i | −0.0733012 | + | 0.0215232i | ||||
\(705\) | −5.61856 | + | 33.8131i | −0.211607 | + | 1.27347i | ||||
\(706\) | −18.3499 | + | 21.1769i | −0.690606 | + | 0.797002i | ||||
\(707\) | 2.96941 | − | 6.50210i | 0.111676 | − | 0.244537i | ||||
\(708\) | 22.9362 | + | 7.28293i | 0.861996 | + | 0.273709i | ||||
\(709\) | 4.00797 | − | 1.83038i | 0.150522 | − | 0.0687412i | −0.338730 | − | 0.940884i | \(-0.609997\pi\) |
0.489252 | + | 0.872143i | \(0.337270\pi\) | |||||||
\(710\) | −3.47633 | − | 24.1784i | −0.130464 | − | 0.907398i | ||||
\(711\) | 19.5294 | − | 27.6515i | 0.732409 | − | 1.03701i | ||||
\(712\) | − | 4.20920i | − | 0.157746i | ||||||
\(713\) | −1.33463 | − | 42.3783i | −0.0499824 | − | 1.58708i | ||||
\(714\) | 0.00196330 | − | 0.0897932i | 7.34747e−5 | − | 0.00336043i | ||||
\(715\) | 5.02750 | + | 3.23098i | 0.188018 | + | 0.120832i | ||||
\(716\) | −3.40897 | + | 0.490136i | −0.127399 | + | 0.0183172i | ||||
\(717\) | 10.3488 | + | 24.0378i | 0.386483 | + | 0.897710i | ||||
\(718\) | 7.53514 | − | 25.6623i | 0.281209 | − | 0.957710i | ||||
\(719\) | −22.3259 | − | 10.1959i | −0.832616 | − | 0.380243i | −0.0469522 | − | 0.998897i | \(-0.514951\pi\) |
−0.785663 | + | 0.618654i | \(0.787678\pi\) | |||||||
\(720\) | 9.10371 | − | 9.62212i | 0.339275 | − | 0.358595i | ||||
\(721\) | 1.86650 | − | 12.9818i | 0.0695122 | − | 0.483468i | ||||
\(722\) | 5.62754 | + | 19.1656i | 0.209435 | + | 0.713271i | ||||
\(723\) | −13.2239 | − | 15.9529i | −0.491802 | − | 0.593294i | ||||
\(724\) | 6.24038 | + | 9.71022i | 0.231922 | + | 0.360877i | ||||
\(725\) | −13.4499 | − | 20.9284i | −0.499516 | − | 0.777262i | ||||
\(726\) | −7.61734 | − | 9.18931i | −0.282706 | − | 0.341047i | ||||
\(727\) | 2.65748 | + | 9.05053i | 0.0985603 | + | 0.335666i | 0.993981 | − | 0.109556i | \(-0.0349430\pi\) |
−0.895420 | + | 0.445222i | \(0.853125\pi\) | |||||||
\(728\) | −0.0950274 | + | 0.660930i | −0.00352195 | + | 0.0244957i | ||||
\(729\) | 20.1982 | − | 17.9174i | 0.748081 | − | 0.663607i | ||||
\(730\) | 17.8806 | + | 8.16582i | 0.661792 | + | 0.302230i | ||||
\(731\) | 0.0697045 | − | 0.237392i | 0.00257811 | − | 0.00878025i | ||||
\(732\) | 5.62252 | + | 13.0598i | 0.207814 | + | 0.482704i | ||||
\(733\) | −30.0538 | + | 4.32109i | −1.11006 | + | 0.159603i | −0.672867 | − | 0.739763i | \(-0.734937\pi\) |
−0.437196 | + | 0.899366i | \(0.644028\pi\) | |||||||
\(734\) | −18.1863 | − | 11.6876i | −0.671268 | − | 0.431398i | ||||
\(735\) | 0.167175 | − | 7.64589i | 0.00616634 | − | 0.282023i | ||||
\(736\) | 2.12859 | + | 4.29757i | 0.0784610 | + | 0.158410i | ||||
\(737\) | 9.33665i | 0.343920i | ||||||||
\(738\) | −26.1036 | − | 18.4362i | −0.960886 | − | 0.678644i | ||||
\(739\) | 3.70803 | + | 25.7899i | 0.136402 | + | 0.948697i | 0.936959 | + | 0.349440i | \(0.113628\pi\) |
−0.800557 | + | 0.599257i | \(0.795463\pi\) | |||||||
\(740\) | 18.1655 | − | 8.29590i | 0.667777 | − | 0.304963i | ||||
\(741\) | −6.88164 | − | 2.18512i | −0.252803 | − | 0.0802725i | ||||
\(742\) | 3.76086 | − | 8.23514i | 0.138066 | − | 0.302322i | ||||
\(743\) | 13.7253 | − | 15.8399i | 0.503534 | − | 0.581110i | −0.445897 | − | 0.895084i | \(-0.647115\pi\) |
0.949431 | + | 0.313975i | \(0.101661\pi\) | |||||||
\(744\) | −2.51005 | + | 15.1057i | −0.0920228 | + | 0.553802i | ||||
\(745\) | 15.1155 | − | 4.43832i | 0.553790 | − | 0.162607i | ||||
\(746\) | −10.2459 | − | 11.8244i | −0.375130 | − | 0.432923i | ||||
\(747\) | 8.29640 | − | 4.83292i | 0.303550 | − | 0.176827i | ||||
\(748\) | −0.0884239 | + | 0.0568266i | −0.00323310 | + | 0.00207779i | ||||
\(749\) | 0.674145 | − | 0.584150i | 0.0246327 | − | 0.0213444i | ||||
\(750\) | 70.1106 | − | 18.9318i | 2.56008 | − | 0.691293i | ||||
\(751\) | 33.0957 | + | 4.75844i | 1.20768 | + | 0.173638i | 0.716604 | − | 0.697480i | \(-0.245695\pi\) |
0.491074 | + | 0.871118i | \(0.336604\pi\) | |||||||
\(752\) | 3.38723 | + | 2.93505i | 0.123520 | + | 0.107030i | ||||
\(753\) | 41.3095 | + | 19.9680i | 1.50540 | + | 0.727675i | ||||
\(754\) | 1.09953 | + | 0.322850i | 0.0400424 | + | 0.0117575i | ||||
\(755\) | 36.5746 | + | 80.0871i | 1.33108 | + | 2.91467i | ||||
\(756\) | −0.400828 | − | 5.18067i | −0.0145780 | − | 0.188419i | ||||
\(757\) | −5.60399 | + | 8.71997i | −0.203680 | + | 0.316933i | −0.928034 | − | 0.372496i | \(-0.878502\pi\) |
0.724353 | + | 0.689429i | \(0.242138\pi\) | |||||||
\(758\) | −26.1005 | −0.948012 | ||||||||
\(759\) | 10.9033 | − | 12.8305i | 0.395766 | − | 0.465718i | ||||
\(760\) | 27.5653 | 0.999899 | ||||||||
\(761\) | −11.9137 | + | 18.5380i | −0.431870 | + | 0.672003i | −0.987175 | − | 0.159644i | \(-0.948965\pi\) |
0.555304 | + | 0.831647i | \(0.312602\pi\) | |||||||
\(762\) | −1.44833 | − | 11.9173i | −0.0524676 | − | 0.431720i | ||||
\(763\) | 4.26087 | + | 9.33001i | 0.154254 | + | 0.337769i | ||||
\(764\) | −2.66727 | − | 0.783181i | −0.0964984 | − | 0.0283345i | ||||
\(765\) | 0.312376 | − | 0.611737i | 0.0112940 | − | 0.0221174i | ||||
\(766\) | −14.2755 | − | 12.3698i | −0.515795 | − | 0.446939i | ||||
\(767\) | −9.18281 | − | 1.32029i | −0.331572 | − | 0.0476729i | ||||
\(768\) | −0.451530 | − | 1.67216i | −0.0162932 | − | 0.0603389i | ||||
\(769\) | −20.2122 | + | 17.5139i | −0.728869 | + | 0.631569i | −0.938127 | − | 0.346292i | \(-0.887441\pi\) |
0.209258 | + | 0.977861i | \(0.432895\pi\) | |||||||
\(770\) | −7.52929 | + | 4.83878i | −0.271337 | + | 0.174378i | ||||
\(771\) | −13.0802 | + | 8.00763i | −0.471072 | + | 0.288388i | ||||
\(772\) | 8.01092 | + | 9.24509i | 0.288319 | + | 0.332738i | ||||
\(773\) | −24.4972 | + | 7.19302i | −0.881102 | + | 0.258715i | −0.690831 | − | 0.723016i | \(-0.742755\pi\) |
−0.190272 | + | 0.981731i | \(0.560937\pi\) | |||||||
\(774\) | 2.65440 | − | 14.0656i | 0.0954106 | − | 0.505579i | ||||
\(775\) | −83.9244 | + | 96.8539i | −3.01465 | + | 3.47909i | ||||
\(776\) | −4.60215 | + | 10.0773i | −0.165208 | + | 0.361754i | ||||
\(777\) | 2.37081 | − | 7.46641i | 0.0850522 | − | 0.267856i | ||||
\(778\) | −20.9388 | + | 9.56242i | −0.750692 | + | 0.342829i | ||||
\(779\) | −9.46444 | − | 65.8266i | −0.339099 | − | 2.35848i | ||||
\(780\) | −2.85407 | + | 4.23455i | −0.102192 | + | 0.151621i | ||||
\(781\) | 11.2139i | 0.401263i | ||||||||
\(782\) | 0.168690 | + | 0.182725i | 0.00603234 | + | 0.00653422i | ||||
\(783\) | −8.89841 | − | 0.584428i | −0.318003 | − | 0.0208857i | ||||
\(784\) | −0.841254 | − | 0.540641i | −0.0300448 | − | 0.0193086i | ||||
\(785\) | −39.5664 | + | 5.68879i | −1.41219 | + | 0.203042i | ||||
\(786\) | −11.6714 | + | 5.02478i | −0.416305 | + | 0.179228i | ||||
\(787\) | −0.297578 | + | 1.01346i | −0.0106075 | + | 0.0361259i | −0.964627 | − | 0.263620i | \(-0.915084\pi\) |
0.954019 | + | 0.299746i | \(0.0969018\pi\) | |||||||
\(788\) | −15.2860 | − | 6.98090i | −0.544542 | − | 0.248684i | ||||
\(789\) | −13.1066 | − | 11.8684i | −0.466608 | − | 0.422526i | ||||
\(790\) | 7.09076 | − | 49.3173i | 0.252278 | − | 1.75463i | ||||
\(791\) | 2.48640 | + | 8.46790i | 0.0884062 | + | 0.301084i | ||||
\(792\) | −4.76540 | + | 3.77755i | −0.169331 | + | 0.134229i | ||||
\(793\) | −2.96351 | − | 4.61131i | −0.105237 | − | 0.163752i | ||||
\(794\) | −1.91831 | − | 2.98495i | −0.0680783 | − | 0.105932i | ||||
\(795\) | 53.3043 | − | 44.1859i | 1.89051 | − | 1.56711i | ||||
\(796\) | −4.86541 | − | 16.5701i | −0.172450 | − | 0.587310i | ||||
\(797\) | −2.20825 | + | 15.3587i | −0.0782202 | + | 0.544033i | 0.912601 | + | 0.408852i | \(0.134071\pi\) |
−0.990821 | + | 0.135181i | \(0.956838\pi\) | |||||||
\(798\) | 7.25805 | − | 8.01529i | 0.256932 | − | 0.283738i | ||||
\(799\) | 0.211407 | + | 0.0965464i | 0.00747905 | + | 0.00341557i | ||||
\(800\) | 4.08396 | − | 13.9087i | 0.144390 | − | 0.491746i | ||||
\(801\) | −4.73862 | − | 11.7048i | −0.167431 | − | 0.413568i | ||||
\(802\) | −14.2828 | + | 2.05356i | −0.504343 | + | 0.0725136i | ||||
\(803\) | −7.59152 | − | 4.87878i | −0.267899 | − | 0.172168i | ||||
\(804\) | −7.97613 | − | 0.174395i | −0.281296 | − | 0.00615045i | ||||
\(805\) | 14.3639 | + | 15.5590i | 0.506262 | + | 0.548383i | ||||
\(806\) | − | 5.90328i | − | 0.207934i | ||||||
\(807\) | −10.7616 | − | 7.25329i | −0.378827 | − | 0.255328i | ||||
\(808\) | −1.01727 | − | 7.07530i | −0.0357876 | − | 0.248908i | ||||
\(809\) | −21.8590 | + | 9.98267i | −0.768521 | + | 0.350972i | −0.760790 | − | 0.648998i | \(-0.775188\pi\) |
−0.00773127 | + | 0.999970i | \(0.502461\pi\) | |||||||
\(810\) | 14.4828 | − | 37.0056i | 0.508875 | − | 1.30024i | ||||
\(811\) | 0.225698 | − | 0.494209i | 0.00792532 | − | 0.0173540i | −0.905628 | − | 0.424073i | \(-0.860600\pi\) |
0.913553 | + | 0.406719i | \(0.133327\pi\) | |||||||
\(812\) | −1.12387 | + | 1.29701i | −0.0394399 | + | 0.0455161i | ||||
\(813\) | −4.30894 | − | 0.715997i | −0.151121 | − | 0.0251111i | ||||
\(814\) | −8.79646 | + | 2.58287i | −0.308316 | + | 0.0905296i | ||||
\(815\) | 52.4925 | + | 60.5796i | 1.83873 | + | 2.12201i | ||||
\(816\) | −0.0468943 | − | 0.0766003i | −0.00164163 | − | 0.00268155i | ||||
\(817\) | 25.0585 | − | 16.1041i | 0.876687 | − | 0.563412i | ||||
\(818\) | 23.6768 | − | 20.5161i | 0.827841 | − | 0.717328i | ||||
\(819\) | 0.479812 | + | 1.94487i | 0.0167660 | + | 0.0679591i | ||||
\(820\) | −46.5566 | − | 6.69382i | −1.62583 | − | 0.233758i | ||||
\(821\) | 25.7429 | + | 22.3063i | 0.898433 | + | 0.778497i | 0.975836 | − | 0.218503i | \(-0.0701175\pi\) |
−0.0774033 | + | 0.997000i | \(0.524663\pi\) | |||||||
\(822\) | −12.3407 | + | 25.5301i | −0.430430 | + | 0.890466i | ||||
\(823\) | 26.2486 | + | 7.70727i | 0.914967 | + | 0.268659i | 0.705130 | − | 0.709078i | \(-0.250889\pi\) |
0.209837 | + | 0.977736i | \(0.432707\pi\) | |||||||
\(824\) | −5.44829 | − | 11.9301i | −0.189800 | − | 0.415605i | ||||
\(825\) | −50.5215 | + | 6.13996i | −1.75893 | + | 0.213766i | ||||
\(826\) | 7.51154 | − | 11.6882i | 0.261360 | − | 0.406684i | ||||
\(827\) | 32.0618 | 1.11490 | 0.557448 | − | 0.830212i | \(-0.311781\pi\) | ||||
0.557448 | + | 0.830212i | \(0.311781\pi\) | |||||||
\(828\) | 10.7572 | + | 9.55418i | 0.373839 | + | 0.332031i | ||||
\(829\) | 36.1678 | 1.25616 | 0.628080 | − | 0.778149i | \(-0.283841\pi\) | ||||
0.628080 | + | 0.778149i | \(0.283841\pi\) | |||||||
\(830\) | 7.64002 | − | 11.8881i | 0.265189 | − | 0.412642i | ||||
\(831\) | 4.42118 | − | 0.537313i | 0.153369 | − | 0.0186392i | ||||
\(832\) | 0.277384 | + | 0.607385i | 0.00961654 | + | 0.0210573i | ||||
\(833\) | −0.0497541 | − | 0.0146091i | −0.00172388 | − | 0.000506176i | ||||
\(834\) | −6.16917 | + | 12.7627i | −0.213621 | + | 0.441936i | ||||
\(835\) | 5.56726 | + | 4.82406i | 0.192663 | + | 0.166944i | ||||
\(836\) | −12.5258 | − | 1.80093i | −0.433213 | − | 0.0622866i | ||||
\(837\) | 10.0259 | + | 44.8311i | 0.346544 | + | 1.54959i | ||||
\(838\) | 5.39428 | − | 4.67417i | 0.186342 | − | 0.161466i | ||||
\(839\) | −11.3082 | + | 7.26735i | −0.390403 | + | 0.250897i | −0.721087 | − | 0.692845i | \(-0.756357\pi\) |
0.330684 | + | 0.943742i | \(0.392721\pi\) | |||||||
\(840\) | −3.99304 | − | 6.52251i | −0.137773 | − | 0.225048i | ||||
\(841\) | −17.0622 | − | 19.6908i | −0.588352 | − | 0.678994i | ||||
\(842\) | 20.9521 | − | 6.15208i | 0.722056 | − | 0.212015i | ||||
\(843\) | −16.0025 | − | 2.65906i | −0.551156 | − | 0.0915830i | ||||
\(844\) | −7.82054 | + | 9.02538i | −0.269194 | + | 0.310667i | ||||
\(845\) | −23.0272 | + | 50.4225i | −0.792158 | + | 1.73459i | ||||
\(846\) | 12.7233 | + | 4.34841i | 0.437436 | + | 0.149501i | ||||
\(847\) | −6.26849 | + | 2.86272i | −0.215388 | + | 0.0983643i | ||||
\(848\) | −1.28841 | − | 8.96112i | −0.0442443 | − | 0.307726i | ||||
\(849\) | −37.4078 | − | 25.2127i | −1.28383 | − | 0.865298i | ||||
\(850\) | − | 0.751676i | − | 0.0257823i | ||||||
\(851\) | 9.62726 | + | 19.4372i | 0.330018 | + | 0.666298i | ||||
\(852\) | −9.57979 | − | 0.209459i | −0.328198 | − | 0.00717595i | ||||
\(853\) | 41.7390 | + | 26.8240i | 1.42912 | + | 0.918438i | 0.999884 | + | 0.0152444i | \(0.00485263\pi\) |
0.429234 | + | 0.903194i | \(0.358784\pi\) | |||||||
\(854\) | 8.12561 | − | 1.16829i | 0.278053 | − | 0.0399779i | ||||
\(855\) | 76.6525 | − | 31.0324i | 2.62146 | − | 1.06129i | ||||
\(856\) | 0.251312 | − | 0.855889i | 0.00858966 | − | 0.0292537i | ||||
\(857\) | 31.5450 | + | 14.4061i | 1.07756 | + | 0.492103i | 0.873484 | − | 0.486853i | \(-0.161855\pi\) |
0.204072 | + | 0.978956i | \(0.434582\pi\) | |||||||
\(858\) | 1.57356 | − | 1.73773i | 0.0537204 | − | 0.0593251i | ||||
\(859\) | 4.59392 | − | 31.9514i | 0.156742 | − | 1.09017i | −0.747843 | − | 0.663875i | \(-0.768910\pi\) |
0.904586 | − | 0.426292i | \(-0.140180\pi\) | |||||||
\(860\) | −5.93533 | − | 20.2139i | −0.202393 | − | 0.689288i | ||||
\(861\) | −14.2049 | + | 11.7750i | −0.484102 | + | 0.401290i | ||||
\(862\) | −6.09613 | − | 9.48577i | −0.207635 | − | 0.323086i | ||||
\(863\) | 24.1235 | + | 37.5369i | 0.821173 | + | 1.27777i | 0.957883 | + | 0.287159i | \(0.0927109\pi\) |
−0.136710 | + | 0.990611i | \(0.543653\pi\) | |||||||
\(864\) | −3.13808 | − | 4.14155i | −0.106760 | − | 0.140898i | ||||
\(865\) | −5.62741 | − | 19.1652i | −0.191338 | − | 0.651636i | ||||
\(866\) | 0.106319 | − | 0.739464i | 0.00361286 | − | 0.0251280i | ||||
\(867\) | 21.8227 | + | 19.7610i | 0.741137 | + | 0.671118i | ||||
\(868\) | 8.04194 | + | 3.67263i | 0.272961 | + | 0.124657i | ||||
\(869\) | −6.44413 | + | 21.9467i | −0.218602 | + | 0.744490i | ||||
\(870\) | −12.0552 | + | 5.19001i | −0.408709 | + | 0.175958i | ||||
\(871\) | 3.04432 | − | 0.437708i | 0.103153 | − | 0.0148312i | ||||
\(872\) | 8.62866 | + | 5.54530i | 0.292203 | + | 0.187788i | ||||
\(873\) | −1.45266 | + | 33.2035i | −0.0491652 | + | 1.12377i | ||||
\(874\) | 0.942451 | + | 29.9254i | 0.0318789 | + | 1.01224i | ||||
\(875\) | − | 41.9281i | − | 1.41743i | ||||||
\(876\) | 4.30965 | − | 6.39417i | 0.145610 | − | 0.216039i | ||||
\(877\) | −7.32748 | − | 50.9638i | −0.247431 | − | 1.72092i | −0.612952 | − | 0.790120i | \(-0.710018\pi\) |
0.365520 | − | 0.930803i | \(-0.380891\pi\) | |||||||
\(878\) | −3.22213 | + | 1.47150i | −0.108742 | + | 0.0496607i | ||||
\(879\) | −6.81503 | + | 21.4627i | −0.229865 | + | 0.723918i | ||||
\(880\) | −3.71800 | + | 8.14128i | −0.125334 | + | 0.274443i | ||||
\(881\) | −29.2386 | + | 33.7432i | −0.985074 | + | 1.13684i | 0.00551774 | + | 0.999985i | \(0.498244\pi\) |
−0.990592 | + | 0.136851i | \(0.956302\pi\) | |||||||
\(882\) | −2.94797 | − | 0.556327i | −0.0992632 | − | 0.0187325i | ||||
\(883\) | −17.5932 | + | 5.16584i | −0.592060 | + | 0.173844i | −0.564018 | − | 0.825762i | \(-0.690745\pi\) |
−0.0280415 | + | 0.999607i | \(0.508927\pi\) | |||||||
\(884\) | 0.0226743 | + | 0.0261676i | 0.000762620 | + | 0.000880110i | ||||
\(885\) | 90.6224 | − | 55.4785i | 3.04624 | − | 1.86489i | ||||
\(886\) | 2.66204 | − | 1.71079i | 0.0894329 | − | 0.0574751i | ||||
\(887\) | 15.9737 | − | 13.8413i | 0.536343 | − | 0.464744i | −0.344075 | − | 0.938942i | \(-0.611807\pi\) |
0.880418 | + | 0.474198i | \(0.157262\pi\) | |||||||
\(888\) | −2.04220 | − | 7.56290i | −0.0685316 | − | 0.253794i | ||||
\(889\) | −6.86056 | − | 0.986399i | −0.230096 | − | 0.0330828i | ||||
\(890\) | −14.0459 | − | 12.1708i | −0.470818 | − | 0.407966i | ||||
\(891\) | −8.99875 | + | 15.8692i | −0.301469 | + | 0.531639i | ||||
\(892\) | 20.7108 | + | 6.08124i | 0.693449 | + | 0.203615i | ||||
\(893\) | 11.6236 | + | 25.4522i | 0.388969 | + | 0.851724i | ||||
\(894\) | −0.745549 | − | 6.13461i | −0.0249349 | − | 0.205172i | ||||
\(895\) | −8.22141 | + | 12.7928i | −0.274811 | + | 0.427615i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | −4.69469 | − | 2.95366i | −0.156751 | − | 0.0986198i | ||||
\(898\) | −10.1083 | −0.337320 | ||||||||
\(899\) | 8.20293 | − | 12.7640i | 0.273583 | − | 0.425704i | ||||
\(900\) | −4.30159 | − | 43.2743i | −0.143386 | − | 1.44248i | ||||
\(901\) | −0.195018 | − | 0.427030i | −0.00649699 | − | 0.0142264i | ||||
\(902\) | 20.7181 | + | 6.08339i | 0.689838 | + | 0.202555i | ||||
\(903\) | −7.44048 | − | 3.59655i | −0.247604 | − | 0.119686i | ||||
\(904\) | 6.66978 | + | 5.77940i | 0.221834 | + | 0.192220i | ||||
\(905\) | 50.4464 | + | 7.25310i | 1.67690 | + | 0.241101i | ||||
\(906\) | 33.3429 | − | 9.00353i | 1.10774 | − | 0.299122i | ||||
\(907\) | 15.1274 | − | 13.1079i | 0.502295 | − | 0.435241i | −0.366496 | − | 0.930420i | \(-0.619443\pi\) |
0.868791 | + | 0.495178i | \(0.164897\pi\) | |||||||
\(908\) | 7.02683 | − | 4.51587i | 0.233194 | − | 0.149864i | ||||
\(909\) | −10.7940 | − | 18.5295i | −0.358015 | − | 0.614584i | ||||
\(910\) | 1.93072 | + | 2.22817i | 0.0640027 | + | 0.0738630i | ||||
\(911\) | −23.9835 | + | 7.04218i | −0.794608 | + | 0.233318i | −0.653749 | − | 0.756712i | \(-0.726805\pi\) |
−0.140859 | + | 0.990030i | \(0.544987\pi\) | |||||||
\(912\) | 1.77247 | − | 10.6669i | 0.0586923 | − | 0.353216i | ||||
\(913\) | −4.24834 | + | 4.90285i | −0.140600 | + | 0.162261i | ||||
\(914\) | −5.99181 | + | 13.1202i | −0.198191 | + | 0.433979i | ||||
\(915\) | 59.8373 | + | 19.0001i | 1.97816 | + | 0.628124i | ||||
\(916\) | 22.8968 | − | 10.4566i | 0.756531 | − | 0.345496i | ||||
\(917\) | 1.04408 | + | 7.26176i | 0.0344787 | + | 0.239804i | ||||
\(918\) | −0.216637 | − | 0.160215i | −0.00715007 | − | 0.00528787i | ||||
\(919\) | 49.7345i | 1.64059i | 0.571941 | + | 0.820294i | \(0.306190\pi\) | ||||
−0.571941 | + | 0.820294i | \(0.693810\pi\) | |||||||
\(920\) | 20.4955 | + | 5.32333i | 0.675718 | + | 0.175505i | ||||
\(921\) | 1.00527 | − | 45.9769i | 0.0331248 | − | 1.51499i | ||||
\(922\) | −17.7143 | − | 11.3843i | −0.583388 | − | 0.374921i | ||||
\(923\) | 3.65641 | − | 0.525712i | 0.120352 | − | 0.0173040i | ||||
\(924\) | 1.38831 | + | 3.22473i | 0.0456722 | + | 0.106086i | ||||
\(925\) | 18.4710 | − | 62.9066i | 0.607324 | − | 2.06836i | ||||
\(926\) | −2.16049 | − | 0.986661i | −0.0709980 | − | 0.0324237i | ||||
\(927\) | −28.5810 | − | 27.0412i | −0.938724 | − | 0.888148i | ||||
\(928\) | −0.244239 | + | 1.69872i | −0.00801755 | + | 0.0557633i | ||||
\(929\) | −8.47678 | − | 28.8693i | −0.278114 | − | 0.947170i | −0.973529 | − | 0.228562i | \(-0.926598\pi\) |
0.695415 | − | 0.718608i | \(-0.255220\pi\) | |||||||
\(930\) | 43.1492 | + | 52.0538i | 1.41492 | + | 1.70691i | ||||
\(931\) | −3.37521 | − | 5.25193i | −0.110618 | − | 0.172125i | ||||
\(932\) | −15.3753 | − | 23.9244i | −0.503634 | − | 0.783669i | ||||
\(933\) | −38.0127 | − | 45.8573i | −1.24448 | − | 1.50130i | ||||
\(934\) | 1.08396 | + | 3.69164i | 0.0354683 | + | 0.120794i | ||||
\(935\) | −0.0660487 | + | 0.459378i | −0.00216002 | + | 0.0150233i | ||||
\(936\) | 1.45512 | + | 1.37672i | 0.0475620 | + | 0.0449995i | ||||
\(937\) | 37.5599 | + | 17.1530i | 1.22703 | + | 0.560365i | 0.920218 | − | 0.391405i | \(-0.128011\pi\) |
0.306810 | + | 0.951771i | \(0.400738\pi\) | |||||||
\(938\) | −1.29769 | + | 4.41954i | −0.0423712 | + | 0.144303i | ||||
\(939\) | 3.88649 | + | 9.02740i | 0.126831 | + | 0.294598i | ||||
\(940\) | 19.5882 | − | 2.81636i | 0.638898 | − | 0.0918596i | ||||
\(941\) | −34.8514 | − | 22.3976i | −1.13612 | − | 0.730142i | −0.169294 | − | 0.985566i | \(-0.554149\pi\) |
−0.966829 | + | 0.255423i | \(0.917785\pi\) | |||||||
\(942\) | −0.342766 | + | 15.6767i | −0.0111679 | + | 0.510775i | ||||
\(943\) | 5.67519 | − | 50.7716i | 0.184809 | − | 1.65335i | ||||
\(944\) | − | 13.8938i | − | 0.452204i | ||||||
\(945\) | −18.4466 | − | 13.6423i | −0.600068 | − | 0.443783i | ||||
\(946\) | 1.37639 | + | 9.57303i | 0.0447504 | + | 0.311246i | ||||
\(947\) | −7.50935 | + | 3.42940i | −0.244021 | + | 0.111441i | −0.533672 | − | 0.845692i | \(-0.679188\pi\) |
0.289651 | + | 0.957132i | \(0.406461\pi\) | |||||||
\(948\) | −18.6283 | − | 5.91503i | −0.605018 | − | 0.192111i | ||||
\(949\) | −1.23489 | + | 2.70402i | −0.0400861 | + | 0.0877763i | ||||
\(950\) | 59.2631 | − | 68.3933i | 1.92275 | − | 2.21897i | ||||
\(951\) | −4.45449 | + | 26.8076i | −0.144447 | + | 0.869295i | ||||
\(952\) | −0.0497541 | + | 0.0146091i | −0.00161254 | + | 0.000473484i | ||||
\(953\) | −2.37992 | − | 2.74657i | −0.0770931 | − | 0.0889702i | 0.715893 | − | 0.698210i | \(-0.246020\pi\) |
−0.792986 | + | 0.609240i | \(0.791475\pi\) | |||||||
\(954\) | −13.6710 | − | 23.4683i | −0.442615 | − | 0.759813i | ||||
\(955\) | −10.3258 | + | 6.63598i | −0.334135 | + | 0.214735i | ||||
\(956\) | 11.4192 | − | 9.89479i | 0.369323 | − | 0.320021i | ||||
\(957\) | 5.81700 | − | 1.57075i | 0.188037 | − | 0.0507753i | ||||
\(958\) | 37.3806 | + | 5.37451i | 1.20771 | + | 0.173643i | ||||
\(959\) | 12.3728 | + | 10.7211i | 0.399538 | + | 0.346201i | ||||
\(960\) | −6.88550 | − | 3.32829i | −0.222229 | − | 0.107420i | ||||
\(961\) | −45.2507 | − | 13.2868i | −1.45970 | − | 0.428606i | ||||
\(962\) | 1.25456 | + | 2.74710i | 0.0404486 | + | 0.0885701i | ||||
\(963\) | −0.264704 | − | 2.66294i | −0.00852996 | − | 0.0858121i | ||||
\(964\) | −6.46788 | + | 10.0642i | −0.208316 | + | 0.324146i | ||||
\(965\) | 54.0138 | 1.73877 | ||||||||
\(966\) | 6.94444 | − | 4.55793i | 0.223434 | − | 0.146649i | ||||
\(967\) | 7.22320 | 0.232282 | 0.116141 | − | 0.993233i | \(-0.462947\pi\) | ||||
0.116141 | + | 0.993233i | \(0.462947\pi\) | |||||||
\(968\) | −3.72568 | + | 5.79727i | −0.119748 | + | 0.186331i | ||||
\(969\) | −0.0676464 | − | 0.556615i | −0.00217311 | − | 0.0178811i | ||||
\(970\) | 20.3204 | + | 44.4954i | 0.652448 | + | 1.42866i | ||||
\(971\) | −2.81447 | − | 0.826404i | −0.0903208 | − | 0.0265206i | 0.236260 | − | 0.971690i | \(-0.424078\pi\) |
−0.326581 | + | 0.945169i | \(0.605897\pi\) | |||||||
\(972\) | −13.3887 | − | 7.98388i | −0.429443 | − | 0.256083i | ||||
\(973\) | 6.18523 | + | 5.35953i | 0.198289 | + | 0.171819i | ||||
\(974\) | −28.3798 | − | 4.08040i | −0.909348 | − | 0.130744i | ||||
\(975\) | 4.37048 | + | 16.1853i | 0.139968 | + | 0.518344i | ||||
\(976\) | 6.20407 | − | 5.37586i | 0.198588 | − | 0.172077i | ||||
\(977\) | 9.81866 | − | 6.31007i | 0.314127 | − | 0.201877i | −0.374071 | − | 0.927400i | \(-0.622038\pi\) |
0.688198 | + | 0.725523i | \(0.258402\pi\) | |||||||
\(978\) | 26.8177 | − | 16.4176i | 0.857534 | − | 0.524977i | ||||
\(979\) | 5.58733 | + | 6.44812i | 0.178572 | + | 0.206083i | ||||
\(980\) | −4.23656 | + | 1.24397i | −0.135332 | + | 0.0397370i | ||||
\(981\) | 30.2370 | + | 5.70620i | 0.965394 | + | 0.182185i | ||||
\(982\) | 13.3536 | − | 15.4109i | 0.426131 | − | 0.491781i | ||||
\(983\) | −22.1586 | + | 48.5205i | −0.706749 | + | 1.54756i | 0.124843 | + | 0.992177i | \(0.460157\pi\) |
−0.831591 | + | 0.555388i | \(0.812570\pi\) | |||||||
\(984\) | −5.58391 | + | 17.5855i | −0.178009 | + | 0.560605i | ||||
\(985\) | −67.4941 | + | 30.8235i | −2.15054 | + | 0.982120i | ||||
\(986\) | 0.0126649 | + | 0.0880864i | 0.000403333 | + | 0.00280524i | ||||
\(987\) | 4.33873 | − | 6.43732i | 0.138103 | − | 0.204902i | ||||
\(988\) | 4.16860i | 0.132621i | ||||||||
\(989\) | 21.7417 | − | 7.13462i | 0.691344 | − | 0.226868i | ||||
\(990\) | −1.17358 | + | 26.8246i | −0.0372989 | + | 0.852541i | ||||
\(991\) | −21.2735 | − | 13.6716i | −0.675774 | − | 0.434294i | 0.157229 | − | 0.987562i | \(-0.449744\pi\) |
−0.833003 | + | 0.553268i | \(0.813380\pi\) | |||||||
\(992\) | 8.75088 | − | 1.25819i | 0.277841 | − | 0.0399475i | ||||
\(993\) | −8.63347 | + | 3.71689i | −0.273975 | + | 0.117952i | ||||
\(994\) | −1.55861 | + | 5.30812i | −0.0494360 | + | 0.168363i | ||||
\(995\) | −69.3616 | − | 31.6764i | −2.19891 | − | 1.00421i | ||||
\(996\) | −4.10906 | − | 3.72086i | −0.130201 | − | 0.117900i | ||||
\(997\) | 2.93065 | − | 20.3831i | 0.0928148 | − | 0.645541i | −0.889309 | − | 0.457306i | \(-0.848814\pi\) |
0.982124 | − | 0.188235i | \(-0.0602765\pi\) | |||||||
\(998\) | 0.0701982 | + | 0.239073i | 0.00222209 | + | 0.00756773i | ||||
\(999\) | −14.1930 | − | 18.7315i | −0.449047 | − | 0.592640i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 966.2.r.b.113.12 | yes | 240 | |
3.2 | odd | 2 | 966.2.r.a.113.14 | ✓ | 240 | ||
23.11 | odd | 22 | 966.2.r.a.701.14 | yes | 240 | ||
69.11 | even | 22 | inner | 966.2.r.b.701.12 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.r.a.113.14 | ✓ | 240 | 3.2 | odd | 2 | ||
966.2.r.a.701.14 | yes | 240 | 23.11 | odd | 22 | ||
966.2.r.b.113.12 | yes | 240 | 1.1 | even | 1 | trivial | |
966.2.r.b.701.12 | yes | 240 | 69.11 | even | 22 | inner |