Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [164,2,Mod(7,164)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(164, base_ring=CyclotomicField(40))
chi = DirichletCharacter(H, H._module([20, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("164.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 164 = 2^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 164.o (of order \(40\), degree \(16\), 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: | \(1.30954659315\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 164.11 |
Dual form | 164.2.o.b.15.13 |
$q$-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 \(\left(\mathbb{Z}/164\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(129\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{40}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.652832 | − | 1.25452i | 0.461622 | − | 0.887077i | ||||
\(3\) | −0.116266 | + | 0.280690i | −0.0671260 | + | 0.162056i | −0.953882 | − | 0.300181i | \(-0.902953\pi\) |
0.886756 | + | 0.462237i | \(0.152953\pi\) | |||||||
\(4\) | −1.14762 | − | 1.63798i | −0.573810 | − | 0.818988i | ||||
\(5\) | 0.922111 | − | 1.80974i | 0.412380 | − | 0.809342i | −0.587619 | − | 0.809137i | \(-0.699935\pi\) |
1.00000 | 0.000204875i | \(-6.52137e-5\pi\) | ||||||||
\(6\) | 0.276228 | + | 0.329100i | 0.112770 | + | 0.134355i | ||||
\(7\) | −0.274171 | − | 1.14200i | −0.103627 | − | 0.431637i | 0.896303 | − | 0.443441i | \(-0.146243\pi\) |
−0.999930 | + | 0.0118042i | \(0.996243\pi\) | |||||||
\(8\) | −2.80407 | + | 0.370385i | −0.991389 | + | 0.130951i | ||||
\(9\) | 2.05605 | + | 2.05605i | 0.685350 | + | 0.685350i | ||||
\(10\) | −1.66837 | − | 2.33826i | −0.527585 | − | 0.739423i | ||||
\(11\) | −0.0847682 | + | 0.0992508i | −0.0255586 | + | 0.0299252i | −0.773038 | − | 0.634360i | \(-0.781264\pi\) |
0.747479 | + | 0.664285i | \(0.231264\pi\) | |||||||
\(12\) | 0.593192 | − | 0.131685i | 0.171240 | − | 0.0380143i | ||||
\(13\) | −2.37552 | − | 3.87650i | −0.658852 | − | 1.07515i | −0.991249 | − | 0.132009i | \(-0.957857\pi\) |
0.332397 | − | 0.943140i | \(-0.392143\pi\) | |||||||
\(14\) | −1.61165 | − | 0.401585i | −0.430732 | − | 0.107328i | ||||
\(15\) | 0.400767 | + | 0.469238i | 0.103478 | + | 0.121157i | ||||
\(16\) | −1.36593 | + | 3.75955i | −0.341484 | + | 0.939888i | ||||
\(17\) | 0.0717643 | + | 0.911852i | 0.0174054 | + | 0.221157i | 0.999468 | + | 0.0326034i | \(0.0103798\pi\) |
−0.982063 | + | 0.188553i | \(0.939620\pi\) | |||||||
\(18\) | 3.92161 | − | 1.23709i | 0.924331 | − | 0.291586i | ||||
\(19\) | 6.42437 | + | 3.93686i | 1.47385 | + | 0.903177i | 0.999742 | + | 0.0227115i | \(0.00722993\pi\) |
0.474110 | + | 0.880466i | \(0.342770\pi\) | |||||||
\(20\) | −4.02255 | + | 0.566504i | −0.899470 | + | 0.126674i | ||||
\(21\) | 0.352426 | + | 0.0558188i | 0.0769056 | + | 0.0121807i | ||||
\(22\) | 0.0691723 | + | 0.171137i | 0.0147476 | + | 0.0364866i | ||||
\(23\) | 1.18641 | + | 0.861977i | 0.247383 | + | 0.179735i | 0.704566 | − | 0.709638i | \(-0.251142\pi\) |
−0.457183 | + | 0.889373i | \(0.651142\pi\) | |||||||
\(24\) | 0.222054 | − | 0.830137i | 0.0453265 | − | 0.169451i | ||||
\(25\) | 0.514040 | + | 0.707515i | 0.102808 | + | 0.141503i | ||||
\(26\) | −6.41395 | + | 0.449427i | −1.25788 | + | 0.0881400i | ||||
\(27\) | −1.65823 | + | 0.686862i | −0.319127 | + | 0.132187i | ||||
\(28\) | −1.55593 | + | 1.75967i | −0.294044 | + | 0.332547i | ||||
\(29\) | 0.0293854 | − | 0.373377i | 0.00545674 | − | 0.0693344i | −0.993586 | − | 0.113079i | \(-0.963929\pi\) |
0.999043 | + | 0.0437444i | \(0.0139287\pi\) | |||||||
\(30\) | 0.850300 | − | 0.196435i | 0.155243 | − | 0.0358640i | ||||
\(31\) | −2.86096 | + | 8.80513i | −0.513844 | + | 1.58145i | 0.271532 | + | 0.962429i | \(0.412470\pi\) |
−0.785376 | + | 0.619019i | \(0.787530\pi\) | |||||||
\(32\) | 3.82469 | + | 4.16794i | 0.676116 | + | 0.736795i | ||||
\(33\) | −0.0180031 | − | 0.0353330i | −0.00313393 | − | 0.00615069i | ||||
\(34\) | 1.19078 | + | 0.505257i | 0.204218 | + | 0.0866508i | ||||
\(35\) | −2.31955 | − | 0.556875i | −0.392076 | − | 0.0941291i | ||||
\(36\) | 1.00820 | − | 5.72733i | 0.168033 | − | 0.954555i | ||||
\(37\) | 1.33919 | + | 4.12161i | 0.220162 | + | 0.677589i | 0.998747 | + | 0.0500497i | \(0.0159380\pi\) |
−0.778585 | + | 0.627540i | \(0.784062\pi\) | |||||||
\(38\) | 9.13289 | − | 5.48937i | 1.48155 | − | 0.890493i | ||||
\(39\) | 1.36429 | − | 0.216082i | 0.218461 | − | 0.0346008i | ||||
\(40\) | −1.91536 | + | 5.41619i | −0.302845 | + | 0.856374i | ||||
\(41\) | −6.31398 | + | 1.06474i | −0.986078 | + | 0.166284i | ||||
\(42\) | 0.300100 | − | 0.405683i | 0.0463065 | − | 0.0625983i | ||||
\(43\) | −0.623604 | − | 3.93728i | −0.0950987 | − | 0.600430i | −0.988506 | − | 0.151182i | \(-0.951692\pi\) |
0.893407 | − | 0.449248i | \(-0.148308\pi\) | |||||||
\(44\) | 0.259852 | + | 0.0249461i | 0.0391742 | + | 0.00376076i | ||||
\(45\) | 5.61683 | − | 1.82502i | 0.837308 | − | 0.272058i | ||||
\(46\) | 1.85589 | − | 0.925643i | 0.273636 | − | 0.136479i | ||||
\(47\) | 1.80179 | − | 7.50499i | 0.262818 | − | 1.09472i | −0.672272 | − | 0.740304i | \(-0.734681\pi\) |
0.935090 | − | 0.354411i | \(-0.115319\pi\) | |||||||
\(48\) | −0.896457 | − | 0.820510i | −0.129392 | − | 0.118430i | ||||
\(49\) | 5.00804 | − | 2.55172i | 0.715434 | − | 0.364532i | ||||
\(50\) | 1.22317 | − | 0.182983i | 0.172983 | − | 0.0258777i | ||||
\(51\) | −0.264291 | − | 0.0858735i | −0.0370082 | − | 0.0120247i | ||||
\(52\) | −3.62342 | + | 8.33981i | −0.502478 | + | 1.15652i | ||||
\(53\) | −3.50822 | − | 0.276103i | −0.481891 | − | 0.0379256i | −0.164812 | − | 0.986325i | \(-0.552702\pi\) |
−0.317078 | + | 0.948399i | \(0.602702\pi\) | |||||||
\(54\) | −0.220867 | + | 2.52868i | −0.0300562 | + | 0.344110i | ||||
\(55\) | 0.101453 | + | 0.244929i | 0.0136799 | + | 0.0330262i | ||||
\(56\) | 1.19178 | + | 3.10071i | 0.159258 | + | 0.414350i | ||||
\(57\) | −1.85197 | + | 1.34553i | −0.245299 | + | 0.178220i | ||||
\(58\) | −0.449224 | − | 0.280617i | −0.0589860 | − | 0.0368468i | ||||
\(59\) | 2.06311 | − | 2.83963i | 0.268594 | − | 0.369688i | −0.653320 | − | 0.757082i | \(-0.726624\pi\) |
0.921915 | + | 0.387393i | \(0.126624\pi\) | |||||||
\(60\) | 0.308672 | − | 1.19495i | 0.0398494 | − | 0.154268i | ||||
\(61\) | 0.586573 | − | 3.70347i | 0.0751029 | − | 0.474181i | −0.921258 | − | 0.388951i | \(-0.872837\pi\) |
0.996361 | − | 0.0852300i | \(-0.0271625\pi\) | |||||||
\(62\) | 9.17845 | + | 9.33739i | 1.16566 | + | 1.18585i | ||||
\(63\) | 1.78431 | − | 2.91173i | 0.224802 | − | 0.366843i | ||||
\(64\) | 7.72563 | − | 2.07717i | 0.965704 | − | 0.259646i | ||||
\(65\) | −9.20598 | + | 0.724526i | −1.14186 | + | 0.0898664i | ||||
\(66\) | −0.0560788 | 0.000481387i | −0.00690283 | 5.92547e-5i | ||||||
\(67\) | −5.36295 | + | 4.58039i | −0.655189 | + | 0.559584i | −0.913682 | − | 0.406429i | \(-0.866774\pi\) |
0.258494 | + | 0.966013i | \(0.416774\pi\) | |||||||
\(68\) | 1.41123 | − | 1.16401i | 0.171137 | − | 0.141157i | ||||
\(69\) | −0.379887 | + | 0.232795i | −0.0457330 | + | 0.0280252i | ||||
\(70\) | −2.21289 | + | 2.54637i | −0.264491 | + | 0.304349i | ||||
\(71\) | −6.33090 | − | 5.40710i | −0.751340 | − | 0.641705i | 0.188986 | − | 0.981980i | \(-0.439480\pi\) |
−0.940326 | + | 0.340275i | \(0.889480\pi\) | |||||||
\(72\) | −6.52684 | − | 5.00378i | −0.769196 | − | 0.589702i | ||||
\(73\) | −6.90701 | + | 6.90701i | −0.808404 | + | 0.808404i | −0.984392 | − | 0.175988i | \(-0.943688\pi\) |
0.175988 | + | 0.984392i | \(0.443688\pi\) | |||||||
\(74\) | 6.04490 | + | 1.01068i | 0.702705 | + | 0.117489i | ||||
\(75\) | −0.258358 | + | 0.0620262i | −0.0298326 | + | 0.00716216i | ||||
\(76\) | −0.924256 | − | 15.0410i | −0.106019 | − | 1.72532i | ||||
\(77\) | 0.136586 | + | 0.0695940i | 0.0155654 | + | 0.00793097i | ||||
\(78\) | 0.619572 | − | 1.85259i | 0.0701527 | − | 0.209764i | ||||
\(79\) | −12.4208 | − | 5.14485i | −1.39745 | − | 0.578841i | −0.448358 | − | 0.893854i | \(-0.647991\pi\) |
−0.949087 | + | 0.315013i | \(0.897991\pi\) | |||||||
\(80\) | 5.54428 | + | 5.93871i | 0.619870 | + | 0.663968i | ||||
\(81\) | 8.17778i | 0.908642i | ||||||||
\(82\) | −2.78624 | + | 8.61608i | −0.307689 | + | 0.951487i | ||||
\(83\) | − | 15.8828i | − | 1.74337i | −0.490070 | − | 0.871683i | \(-0.663029\pi\) | ||
0.490070 | − | 0.871683i | \(-0.336971\pi\) | |||||||
\(84\) | −0.313021 | − | 0.641324i | −0.0341534 | − | 0.0699742i | ||||
\(85\) | 1.71639 | + | 0.710954i | 0.186169 | + | 0.0771137i | ||||
\(86\) | −5.34649 | − | 1.78806i | −0.576527 | − | 0.192812i | ||||
\(87\) | 0.101387 | + | 0.0516591i | 0.0108698 | + | 0.00553844i | ||||
\(88\) | 0.200935 | − | 0.309703i | 0.0214198 | − | 0.0330145i | ||||
\(89\) | −5.88802 | + | 1.41359i | −0.624128 | + | 0.149840i | −0.533161 | − | 0.846014i | \(-0.678996\pi\) |
−0.0909676 | + | 0.995854i | \(0.528996\pi\) | |||||||
\(90\) | 1.37733 | − | 8.23784i | 0.145184 | − | 0.868345i | ||||
\(91\) | −3.77568 | + | 3.77568i | −0.395799 | + | 0.395799i | ||||
\(92\) | 0.0503501 | − | 2.93253i | 0.00524936 | − | 0.305738i | ||||
\(93\) | −2.13888 | − | 1.82678i | −0.221792 | − | 0.189428i | ||||
\(94\) | −8.23886 | − | 7.15987i | −0.849774 | − | 0.738484i | ||||
\(95\) | 13.0487 | − | 7.99625i | 1.33877 | − | 0.820398i | ||||
\(96\) | −1.61458 | + | 0.588964i | −0.164787 | + | 0.0601109i | ||||
\(97\) | 1.29043 | − | 1.10213i | 0.131024 | − | 0.111905i | −0.581522 | − | 0.813531i | \(-0.697542\pi\) |
0.712545 | + | 0.701626i | \(0.247542\pi\) | |||||||
\(98\) | 0.0682310 | − | 7.94851i | 0.00689237 | − | 0.802921i | ||||
\(99\) | −0.378352 | + | 0.0297770i | −0.0380259 | + | 0.00299270i | ||||
\(100\) | 0.568971 | − | 1.65394i | 0.0568971 | − | 0.165394i | ||||
\(101\) | 6.70906 | − | 10.9482i | 0.667576 | − | 1.08939i | −0.322189 | − | 0.946675i | \(-0.604419\pi\) |
0.989765 | − | 0.142710i | \(-0.0455815\pi\) | |||||||
\(102\) | −0.280268 | + | 0.275497i | −0.0277506 | + | 0.0272782i | ||||
\(103\) | −1.63715 | + | 10.3366i | −0.161314 | + | 1.01849i | 0.765627 | + | 0.643285i | \(0.222429\pi\) |
−0.926940 | + | 0.375209i | \(0.877571\pi\) | |||||||
\(104\) | 8.09694 | + | 9.99013i | 0.793970 | + | 0.979613i | ||||
\(105\) | 0.425993 | − | 0.586329i | 0.0415727 | − | 0.0572199i | ||||
\(106\) | −2.63665 | + | 4.22087i | −0.256094 | + | 0.409967i | ||||
\(107\) | −2.54436 | + | 1.84859i | −0.245973 | + | 0.178710i | −0.703940 | − | 0.710259i | \(-0.748578\pi\) |
0.457967 | + | 0.888969i | \(0.348578\pi\) | |||||||
\(108\) | 3.02808 | + | 1.92789i | 0.291377 | + | 0.185511i | ||||
\(109\) | 2.98456 | + | 7.20537i | 0.285869 | + | 0.690149i | 0.999951 | − | 0.00991323i | \(-0.00315553\pi\) |
−0.714082 | + | 0.700062i | \(0.753156\pi\) | |||||||
\(110\) | 0.373499 | + | 0.0326232i | 0.0356117 | + | 0.00311050i | ||||
\(111\) | −1.31260 | − | 0.103304i | −0.124586 | − | 0.00980515i | ||||
\(112\) | 4.66792 | + | 0.529143i | 0.441077 | + | 0.0499993i | ||||
\(113\) | 5.82404 | + | 1.89235i | 0.547880 | + | 0.178017i | 0.569861 | − | 0.821741i | \(-0.306997\pi\) |
−0.0219807 | + | 0.999758i | \(0.506997\pi\) | |||||||
\(114\) | 0.478970 | + | 3.20173i | 0.0448596 | + | 0.299870i | ||||
\(115\) | 2.65396 | − | 1.35226i | 0.247483 | − | 0.126099i | ||||
\(116\) | −0.645306 | + | 0.380363i | −0.0599152 | + | 0.0353158i | ||||
\(117\) | 3.08609 | − | 12.8545i | 0.285309 | − | 1.18840i | ||||
\(118\) | −2.21550 | − | 4.44201i | −0.203953 | − | 0.408920i | ||||
\(119\) | 1.02166 | − | 0.331959i | 0.0936557 | − | 0.0304306i | ||||
\(120\) | −1.29758 | − | 1.16734i | −0.118452 | − | 0.106563i | ||||
\(121\) | 1.71811 | + | 10.8477i | 0.156192 | + | 0.986159i | ||||
\(122\) | −4.26313 | − | 3.15361i | −0.385966 | − | 0.285515i | ||||
\(123\) | 0.435238 | − | 1.89606i | 0.0392441 | − | 0.170962i | ||||
\(124\) | 17.7059 | − | 5.41876i | 1.59004 | − | 0.486619i | ||||
\(125\) | 11.7850 | − | 1.86656i | 1.05408 | − | 0.166950i | ||||
\(126\) | −2.48796 | − | 4.13932i | −0.221645 | − | 0.368760i | ||||
\(127\) | 4.11029 | + | 12.6502i | 0.364729 | + | 1.12252i | 0.950150 | + | 0.311792i | \(0.100929\pi\) |
−0.585421 | + | 0.810729i | \(0.699071\pi\) | |||||||
\(128\) | 2.43770 | − | 11.0480i | 0.215464 | − | 0.976512i | ||||
\(129\) | 1.17766 | + | 0.282731i | 0.103687 | + | 0.0248931i | ||||
\(130\) | −5.10103 | + | 12.0220i | −0.447390 | + | 1.05440i | ||||
\(131\) | 2.22786 | + | 4.37243i | 0.194649 | + | 0.382021i | 0.967616 | − | 0.252425i | \(-0.0812283\pi\) |
−0.772967 | + | 0.634446i | \(0.781228\pi\) | |||||||
\(132\) | −0.0372140 | + | 0.0700375i | −0.00323906 | + | 0.00609598i | ||||
\(133\) | 2.73453 | − | 8.41603i | 0.237114 | − | 0.729763i | ||||
\(134\) | 2.24507 | + | 9.71814i | 0.193944 | + | 0.839519i | ||||
\(135\) | −0.286028 | + | 3.63434i | −0.0246174 | + | 0.312794i | ||||
\(136\) | −0.538968 | − | 2.53032i | −0.0462161 | − | 0.216973i | ||||
\(137\) | −16.7988 | + | 6.95828i | −1.43522 | + | 0.594486i | −0.958634 | − | 0.284643i | \(-0.908125\pi\) |
−0.476583 | + | 0.879129i | \(0.658125\pi\) | |||||||
\(138\) | 0.0440426 | + | 0.628550i | 0.00374916 | + | 0.0535057i | ||||
\(139\) | −6.66167 | − | 9.16900i | −0.565035 | − | 0.777704i | 0.426920 | − | 0.904289i | \(-0.359598\pi\) |
−0.991956 | + | 0.126585i | \(0.959598\pi\) | |||||||
\(140\) | 1.74982 | + | 4.43845i | 0.147887 | + | 0.375118i | ||||
\(141\) | 1.89709 | + | 1.37832i | 0.159764 | + | 0.116075i | ||||
\(142\) | −10.9163 | + | 4.41229i | −0.916077 | + | 0.370271i | ||||
\(143\) | 0.586115 | + | 0.0928315i | 0.0490134 | + | 0.00776296i | ||||
\(144\) | −10.5383 | + | 4.92140i | −0.878188 | + | 0.410117i | ||||
\(145\) | −0.648621 | − | 0.397475i | −0.0538650 | − | 0.0330085i | ||||
\(146\) | 4.15583 | + | 13.1741i | 0.343939 | + | 1.09029i | ||||
\(147\) | 0.133981 | + | 1.70238i | 0.0110505 | + | 0.140410i | ||||
\(148\) | 5.21422 | − | 6.92362i | 0.428606 | − | 0.569118i | ||||
\(149\) | −6.90242 | − | 8.08170i | −0.565468 | − | 0.662078i | 0.401832 | − | 0.915714i | \(-0.368374\pi\) |
−0.967300 | + | 0.253635i | \(0.918374\pi\) | |||||||
\(150\) | −0.0908513 | + | 0.364606i | −0.00741798 | + | 0.0297700i | ||||
\(151\) | 8.95473 | + | 14.6128i | 0.728726 | + | 1.18917i | 0.975479 | + | 0.220094i | \(0.0706365\pi\) |
−0.246753 | + | 0.969078i | \(0.579364\pi\) | |||||||
\(152\) | −19.4725 | − | 8.65975i | −1.57943 | − | 0.702398i | ||||
\(153\) | −1.72726 | + | 2.02237i | −0.139641 | + | 0.163499i | ||||
\(154\) | 0.176474 | − | 0.125916i | 0.0142207 | − | 0.0101466i | ||||
\(155\) | 13.2969 | + | 13.2969i | 1.06803 | + | 1.06803i | ||||
\(156\) | −1.91962 | − | 1.98669i | −0.153693 | − | 0.159063i | ||||
\(157\) | −2.91000 | − | 12.1210i | −0.232243 | − | 0.967363i | −0.959659 | − | 0.281166i | \(-0.909279\pi\) |
0.727416 | − | 0.686197i | \(-0.240721\pi\) | |||||||
\(158\) | −14.5630 | + | 12.2233i | −1.15857 | + | 0.972436i | ||||
\(159\) | 0.485384 | − | 0.952620i | 0.0384935 | − | 0.0755477i | ||||
\(160\) | 11.0697 | − | 3.07841i | 0.875136 | − | 0.243370i | ||||
\(161\) | 0.659102 | − | 1.59121i | 0.0519445 | − | 0.125405i | ||||
\(162\) | 10.2592 | + | 5.33872i | 0.806035 | + | 0.419449i | ||||
\(163\) | 4.99983 | 0.391617 | 0.195808 | − | 0.980642i | \(-0.437267\pi\) | ||||
0.195808 | + | 0.980642i | \(0.437267\pi\) | |||||||
\(164\) | 8.99006 | + | 9.12024i | 0.702006 | + | 0.712171i | ||||
\(165\) | −0.0805446 | −0.00627039 | ||||||||
\(166\) | −19.9253 | − | 10.3688i | −1.54650 | − | 0.804776i | ||||
\(167\) | 4.89833 | − | 11.8256i | 0.379044 | − | 0.915094i | −0.613101 | − | 0.790004i | \(-0.710078\pi\) |
0.992145 | − | 0.125089i | \(-0.0399218\pi\) | |||||||
\(168\) | −1.00890 | − | 0.0259867i | −0.0778384 | − | 0.00200492i | ||||
\(169\) | −3.48229 | + | 6.83437i | −0.267868 | + | 0.525721i | ||||
\(170\) | 2.01242 | − | 1.68911i | 0.154346 | − | 0.129549i | ||||
\(171\) | 5.11445 | + | 21.3032i | 0.391112 | + | 1.62910i | ||||
\(172\) | −5.73351 | + | 5.53995i | −0.437176 | + | 0.422417i | ||||
\(173\) | 13.1582 | + | 13.1582i | 1.00040 | + | 1.00040i | 1.00000 | 0.000399927i | \(0.000127301\pi\) | |
0.000399927 | 1.00000i | \(0.499873\pi\) | ||||||||
\(174\) | 0.130996 | − | 0.0934665i | 0.00993075 | − | 0.00708568i | ||||
\(175\) | 0.667051 | − | 0.781016i | 0.0504243 | − | 0.0590393i | ||||
\(176\) | −0.257351 | − | 0.454260i | −0.0193985 | − | 0.0342412i | ||||
\(177\) | 0.557187 | + | 0.909246i | 0.0418807 | + | 0.0683431i | ||||
\(178\) | −2.07052 | + | 8.30945i | −0.155192 | + | 0.622819i | ||||
\(179\) | 1.42535 | + | 1.66887i | 0.106536 | + | 0.124737i | 0.811112 | − | 0.584891i | \(-0.198863\pi\) |
−0.704576 | + | 0.709629i | \(0.748863\pi\) | |||||||
\(180\) | −9.43533 | − | 7.10581i | −0.703268 | − | 0.529636i | ||||
\(181\) | −0.440222 | − | 5.59356i | −0.0327215 | − | 0.415766i | −0.991363 | − | 0.131149i | \(-0.958134\pi\) |
0.958641 | − | 0.284617i | \(-0.0918665\pi\) | |||||||
\(182\) | 2.27177 | + | 7.20154i | 0.168395 | + | 0.533814i | ||||
\(183\) | 0.971329 | + | 0.595231i | 0.0718027 | + | 0.0440008i | ||||
\(184\) | −3.64604 | − | 1.97762i | −0.268789 | − | 0.145792i | ||||
\(185\) | 8.69395 | + | 1.37699i | 0.639192 | + | 0.101238i | ||||
\(186\) | −3.68805 | + | 1.49068i | −0.270421 | + | 0.109302i | ||||
\(187\) | −0.0965854 | − | 0.0701734i | −0.00706302 | − | 0.00513159i | ||||
\(188\) | −14.3608 | + | 5.66159i | −1.04737 | + | 0.412914i | ||||
\(189\) | 1.23904 | + | 1.70539i | 0.0901267 | + | 0.124049i | ||||
\(190\) | −1.51282 | − | 21.5900i | −0.109751 | − | 1.56630i | ||||
\(191\) | −23.5293 | + | 9.74614i | −1.70252 | + | 0.705206i | −0.999979 | − | 0.00643873i | \(-0.997950\pi\) |
−0.702539 | + | 0.711645i | \(0.747950\pi\) | |||||||
\(192\) | −0.315184 | + | 2.41001i | −0.0227465 | + | 0.173927i | ||||
\(193\) | 1.64408 | − | 20.8900i | 0.118344 | − | 1.50370i | −0.595479 | − | 0.803371i | \(-0.703038\pi\) |
0.713823 | − | 0.700326i | \(-0.246962\pi\) | |||||||
\(194\) | −0.540208 | − | 2.33838i | −0.0387847 | − | 0.167886i | ||||
\(195\) | 0.866971 | − | 2.66826i | 0.0620851 | − | 0.191078i | ||||
\(196\) | −9.92700 | − | 5.27464i | −0.709071 | − | 0.376760i | ||||
\(197\) | −0.592787 | − | 1.16341i | −0.0422343 | − | 0.0828895i | 0.868925 | − | 0.494944i | \(-0.164811\pi\) |
−0.911159 | + | 0.412054i | \(0.864811\pi\) | |||||||
\(198\) | −0.209645 | + | 0.494089i | −0.0148988 | + | 0.0351133i | ||||
\(199\) | 7.24168 | + | 1.73857i | 0.513349 | + | 0.123244i | 0.481840 | − | 0.876259i | \(-0.339969\pi\) |
0.0315092 | + | 0.999503i | \(0.489969\pi\) | |||||||
\(200\) | −1.70346 | − | 1.79353i | −0.120453 | − | 0.126822i | ||||
\(201\) | −0.662144 | − | 2.03787i | −0.0467040 | − | 0.143740i | ||||
\(202\) | −9.35478 | − | 15.5639i | −0.658200 | − | 1.09508i | ||||
\(203\) | −0.434455 | + | 0.0688109i | −0.0304928 | + | 0.00482958i | ||||
\(204\) | 0.162647 | + | 0.531453i | 0.0113876 | + | 0.0372092i | ||||
\(205\) | −3.89529 | + | 12.4085i | −0.272059 | + | 0.866647i | ||||
\(206\) | 11.8986 | + | 8.80189i | 0.829016 | + | 0.613257i | ||||
\(207\) | 0.667050 | + | 4.21159i | 0.0463632 | + | 0.292725i | ||||
\(208\) | 17.8187 | − | 3.63586i | 1.23551 | − | 0.252101i | ||||
\(209\) | −0.935319 | + | 0.303903i | −0.0646973 | + | 0.0210214i | ||||
\(210\) | −0.457458 | − | 0.917190i | −0.0315676 | − | 0.0632921i | ||||
\(211\) | −6.46703 | + | 26.9371i | −0.445209 | + | 1.85443i | 0.0702748 | + | 0.997528i | \(0.477612\pi\) |
−0.515483 | + | 0.856900i | \(0.672388\pi\) | |||||||
\(212\) | 3.57385 | + | 6.06324i | 0.245453 | + | 0.416425i | ||||
\(213\) | 2.25379 | − | 1.14836i | 0.154427 | − | 0.0786844i | ||||
\(214\) | 0.658041 | + | 4.39876i | 0.0449828 | + | 0.300693i | ||||
\(215\) | −7.70050 | − | 2.50205i | −0.525170 | − | 0.170638i | ||||
\(216\) | 4.39539 | − | 2.54019i | 0.299069 | − | 0.172838i | ||||
\(217\) | 10.8399 | + | 0.853118i | 0.735860 | + | 0.0579134i | ||||
\(218\) | 10.9877 | + | 0.959716i | 0.744179 | + | 0.0650002i | ||||
\(219\) | −1.13568 | − | 2.74177i | −0.0767421 | − | 0.185272i | ||||
\(220\) | 0.284758 | − | 0.447263i | 0.0191984 | − | 0.0301545i | ||||
\(221\) | 3.36432 | − | 2.44432i | 0.226309 | − | 0.164423i | ||||
\(222\) | −0.986502 | + | 1.57923i | −0.0662097 | + | 0.105991i | ||||
\(223\) | 10.0996 | − | 13.9009i | 0.676317 | − | 0.930871i | −0.323565 | − | 0.946206i | \(-0.604882\pi\) |
0.999882 | + | 0.0153351i | \(0.00488151\pi\) | |||||||
\(224\) | 3.71119 | − | 5.51054i | 0.247964 | − | 0.368189i | ||||
\(225\) | −0.397795 | + | 2.51158i | −0.0265197 | + | 0.167439i | ||||
\(226\) | 6.17610 | − | 6.07097i | 0.410828 | − | 0.403835i | ||||
\(227\) | 12.6114 | − | 20.5799i | 0.837048 | − | 1.36594i | −0.0919163 | − | 0.995767i | \(-0.529299\pi\) |
0.928964 | − | 0.370171i | \(-0.120701\pi\) | |||||||
\(228\) | 4.32931 | + | 1.48932i | 0.286716 | + | 0.0986326i | ||||
\(229\) | 1.26877 | − | 0.0998546i | 0.0838428 | − | 0.00659857i | −0.0364683 | − | 0.999335i | \(-0.511611\pi\) |
0.120311 | + | 0.992736i | \(0.461611\pi\) | |||||||
\(230\) | 0.0361583 | − | 4.21223i | 0.00238421 | − | 0.277746i | ||||
\(231\) | −0.0354146 | + | 0.0302469i | −0.00233011 | + | 0.00199010i | ||||
\(232\) | 0.0558944 | + | 1.05786i | 0.00366964 | + | 0.0694519i | ||||
\(233\) | −9.32814 | + | 5.71629i | −0.611107 | + | 0.374487i | −0.793349 | − | 0.608767i | \(-0.791664\pi\) |
0.182242 | + | 0.983254i | \(0.441664\pi\) | |||||||
\(234\) | −14.1115 | − | 12.2634i | −0.922495 | − | 0.801682i | ||||
\(235\) | −11.9207 | − | 10.1812i | −0.777618 | − | 0.664149i | ||||
\(236\) | −7.01892 | − | 0.120511i | −0.456893 | − | 0.00784462i | ||||
\(237\) | 2.88822 | − | 2.88822i | 0.187610 | − | 0.187610i | ||||
\(238\) | 0.250527 | − | 1.49841i | 0.0162393 | − | 0.0971273i | ||||
\(239\) | 15.3801 | − | 3.69244i | 0.994856 | − | 0.238844i | 0.296841 | − | 0.954927i | \(-0.404067\pi\) |
0.698015 | + | 0.716083i | \(0.254067\pi\) | |||||||
\(240\) | −2.31155 | + | 0.865756i | −0.149210 | + | 0.0558843i | ||||
\(241\) | 9.12337 | + | 4.64859i | 0.587688 | + | 0.299442i | 0.722436 | − | 0.691438i | \(-0.243022\pi\) |
−0.134748 | + | 0.990880i | \(0.543022\pi\) | |||||||
\(242\) | 14.7303 | + | 4.92635i | 0.946900 | + | 0.316678i | ||||
\(243\) | −7.27011 | − | 3.01138i | −0.466378 | − | 0.193180i | ||||
\(244\) | −6.73936 | + | 3.28939i | −0.431444 | + | 0.210582i | ||||
\(245\) | − | 11.4162i | − | 0.729357i | ||||||
\(246\) | −2.09450 | − | 1.78382i | −0.133541 | − | 0.113732i | ||||
\(247\) | − | 34.2562i | − | 2.17967i | ||||||
\(248\) | 4.76105 | − | 25.7499i | 0.302327 | − | 1.63512i | ||||
\(249\) | 4.45815 | + | 1.84663i | 0.282524 | + | 0.117025i | ||||
\(250\) | 5.35200 | − | 16.0030i | 0.338490 | − | 1.01212i | ||||
\(251\) | −23.8102 | − | 12.1319i | −1.50289 | − | 0.765760i | −0.507497 | − | 0.861653i | \(-0.669429\pi\) |
−0.995392 | + | 0.0958931i | \(0.969429\pi\) | |||||||
\(252\) | −6.81706 | + | 0.418902i | −0.429434 | + | 0.0263884i | ||||
\(253\) | −0.186122 | + | 0.0446838i | −0.0117014 | + | 0.00280925i | ||||
\(254\) | 18.5532 | + | 3.10201i | 1.16413 | + | 0.194638i | ||||
\(255\) | −0.399115 | + | 0.399115i | −0.0249935 | + | 0.0249935i | ||||
\(256\) | −12.2684 | − | 10.2706i | −0.766778 | − | 0.641912i | ||||
\(257\) | −7.78697 | − | 6.65070i | −0.485738 | − | 0.414859i | 0.372562 | − | 0.928007i | \(-0.378479\pi\) |
−0.858300 | + | 0.513148i | \(0.828479\pi\) | |||||||
\(258\) | 1.12350 | − | 1.29282i | 0.0699463 | − | 0.0804872i | ||||
\(259\) | 4.33973 | − | 2.65939i | 0.269658 | − | 0.165247i | ||||
\(260\) | 11.7517 | + | 14.2477i | 0.728811 | + | 0.883604i | ||||
\(261\) | 0.828101 | − | 0.707265i | 0.0512581 | − | 0.0437786i | ||||
\(262\) | 6.93970 | + | 0.0595712i | 0.428736 | + | 0.00368032i | ||||
\(263\) | −4.37833 | + | 0.344582i | −0.269979 | + | 0.0212478i | −0.212726 | − | 0.977112i | \(-0.568234\pi\) |
−0.0572532 | + | 0.998360i | \(0.518234\pi\) | |||||||
\(264\) | 0.0635687 | + | 0.0924083i | 0.00391238 | + | 0.00568733i | ||||
\(265\) | −3.73464 | + | 6.09438i | −0.229417 | + | 0.374375i | ||||
\(266\) | −8.77285 | − | 8.92477i | −0.537898 | − | 0.547213i | ||||
\(267\) | 0.287794 | − | 1.81706i | 0.0176127 | − | 0.111202i | ||||
\(268\) | 13.6572 | + | 3.52784i | 0.834247 | + | 0.215497i | ||||
\(269\) | −12.3379 | + | 16.9816i | −0.752253 | + | 1.03539i | 0.245566 | + | 0.969380i | \(0.421026\pi\) |
−0.997819 | + | 0.0660079i | \(0.978974\pi\) | |||||||
\(270\) | 4.37260 | + | 2.73144i | 0.266108 | + | 0.166230i | ||||
\(271\) | −1.96179 | + | 1.42532i | −0.119170 | + | 0.0865822i | −0.645774 | − | 0.763529i | \(-0.723465\pi\) |
0.526604 | + | 0.850111i | \(0.323465\pi\) | |||||||
\(272\) | −3.52618 | − | 0.975728i | −0.213806 | − | 0.0591622i | ||||
\(273\) | −0.620814 | − | 1.49878i | −0.0375734 | − | 0.0907102i | ||||
\(274\) | −2.23751 | + | 25.6169i | −0.135173 | + | 1.54758i | ||||
\(275\) | −0.113796 | − | 0.00895592i | −0.00686214 | − | 0.000540062i | ||||
\(276\) | 0.817278 | + | 0.355085i | 0.0491944 | + | 0.0213736i | ||||
\(277\) | −27.6665 | − | 8.98940i | −1.66232 | − | 0.540121i | −0.680965 | − | 0.732316i | \(-0.738439\pi\) |
−0.981357 | + | 0.192195i | \(0.938439\pi\) | |||||||
\(278\) | −15.8516 | + | 2.37135i | −0.950716 | + | 0.142224i | ||||
\(279\) | −23.9861 | + | 12.2215i | −1.43601 | + | 0.731683i | ||||
\(280\) | 6.71045 | + | 0.702391i | 0.401026 | + | 0.0419759i | ||||
\(281\) | 1.54846 | − | 6.44979i | 0.0923732 | − | 0.384762i | −0.906962 | − | 0.421212i | \(-0.861605\pi\) |
0.999335 | + | 0.0364498i | \(0.0116049\pi\) | |||||||
\(282\) | 2.96760 | − | 1.48012i | 0.176718 | − | 0.0881398i | ||||
\(283\) | 28.8363 | − | 9.36948i | 1.71414 | − | 0.556958i | 0.723126 | − | 0.690716i | \(-0.242705\pi\) |
0.991014 | + | 0.133758i | \(0.0427046\pi\) | |||||||
\(284\) | −1.59123 | + | 16.5752i | −0.0944223 | + | 0.983556i | ||||
\(285\) | 0.727353 | + | 4.59232i | 0.0430846 | + | 0.272026i | ||||
\(286\) | 0.499093 | − | 0.674687i | 0.0295120 | − | 0.0398951i | ||||
\(287\) | 2.94704 | + | 6.91867i | 0.173958 | + | 0.408396i | ||||
\(288\) | −0.705741 | + | 16.4333i | −0.0415862 | + | 0.968339i | ||||
\(289\) | 15.9644 | − | 2.52851i | 0.939081 | − | 0.148736i | ||||
\(290\) | −0.922079 | + | 0.554220i | −0.0541464 | + | 0.0325449i | ||||
\(291\) | 0.159325 | + | 0.490352i | 0.00933979 | + | 0.0287449i | ||||
\(292\) | 19.2401 | + | 3.38689i | 1.12594 | + | 0.198203i | ||||
\(293\) | 8.43098 | + | 2.02410i | 0.492543 | + | 0.118249i | 0.472105 | − | 0.881542i | \(-0.343494\pi\) |
0.0204374 | + | 0.999791i | \(0.493494\pi\) | |||||||
\(294\) | 2.22313 | + | 0.943290i | 0.129656 | + | 0.0550138i | ||||
\(295\) | −3.23659 | − | 6.35216i | −0.188441 | − | 0.369837i | ||||
\(296\) | −5.28178 | − | 11.0613i | −0.306997 | − | 0.642924i | ||||
\(297\) | 0.0723936 | − | 0.222805i | 0.00420070 | − | 0.0129284i | ||||
\(298\) | −14.6447 | + | 3.38321i | −0.848347 | + | 0.195984i | ||||
\(299\) | 0.523112 | − | 6.64676i | 0.0302523 | − | 0.384392i | ||||
\(300\) | 0.398094 | + | 0.352001i | 0.0229840 | + | 0.0203228i | ||||
\(301\) | −4.32542 | + | 1.79165i | −0.249313 | + | 0.103269i | ||||
\(302\) | 24.1779 | − | 1.69415i | 1.39128 | − | 0.0974876i | ||||
\(303\) | 2.29301 | + | 3.15606i | 0.131730 | + | 0.181311i | ||||
\(304\) | −23.5761 | + | 18.7753i | −1.35218 | + | 1.07683i | ||||
\(305\) | −6.16145 | − | 4.47656i | −0.352804 | − | 0.256327i | ||||
\(306\) | 1.40948 | + | 3.48714i | 0.0805744 | + | 0.199347i | ||||
\(307\) | −25.8018 | − | 4.08660i | −1.47258 | − | 0.233234i | −0.632022 | − | 0.774950i | \(-0.717775\pi\) |
−0.840562 | + | 0.541716i | \(0.817775\pi\) | |||||||
\(308\) | −0.0427554 | − | 0.303592i | −0.00243622 | − | 0.0172988i | ||||
\(309\) | −2.71103 | − | 1.66132i | −0.154225 | − | 0.0945093i | ||||
\(310\) | 25.3618 | − | 8.00054i | 1.44046 | − | 0.454400i | ||||
\(311\) | 1.17732 | + | 14.9593i | 0.0667597 | + | 0.848262i | 0.935576 | + | 0.353127i | \(0.114882\pi\) |
−0.868816 | + | 0.495135i | \(0.835118\pi\) | |||||||
\(312\) | −3.74552 | + | 1.11122i | −0.212049 | + | 0.0629104i | ||||
\(313\) | 18.8542 | + | 22.0755i | 1.06570 | + | 1.24778i | 0.967569 | + | 0.252607i | \(0.0812879\pi\) |
0.0981356 | + | 0.995173i | \(0.468712\pi\) | |||||||
\(314\) | −17.1058 | − | 4.26235i | −0.965334 | − | 0.240539i | ||||
\(315\) | −3.62415 | − | 5.91408i | −0.204198 | − | 0.333221i | ||||
\(316\) | 5.82719 | + | 26.2493i | 0.327805 | + | 1.47664i | ||||
\(317\) | −16.0995 | + | 18.8501i | −0.904239 | + | 1.05873i | 0.0937665 | + | 0.995594i | \(0.470109\pi\) |
−0.998005 | + | 0.0631332i | \(0.979891\pi\) | |||||||
\(318\) | −0.878203 | − | 1.23082i | −0.0492472 | − | 0.0690211i | ||||
\(319\) | 0.0345670 | + | 0.0345670i | 0.00193538 | + | 0.00193538i | ||||
\(320\) | 3.36474 | − | 15.8968i | 0.188095 | − | 0.888658i | ||||
\(321\) | −0.223058 | − | 0.929104i | −0.0124499 | − | 0.0518575i | ||||
\(322\) | −1.56592 | − | 1.86565i | −0.0872653 | − | 0.103969i | ||||
\(323\) | −3.12879 | + | 6.14060i | −0.174091 | + | 0.341672i | ||||
\(324\) | 13.3950 | − | 9.38499i | 0.744167 | − | 0.521388i | ||||
\(325\) | 1.52157 | − | 3.67340i | 0.0844016 | − | 0.203763i | ||||
\(326\) | 3.26405 | − | 6.27236i | 0.180779 | − | 0.347394i | ||||
\(327\) | −2.36948 | −0.131032 | ||||||||
\(328\) | 17.3105 | − | 5.32420i | 0.955812 | − | 0.293980i | ||||
\(329\) | −9.06473 | −0.499755 | ||||||||
\(330\) | −0.0525821 | + | 0.101044i | −0.00289455 | + | 0.00556231i | ||||
\(331\) | 1.84650 | − | 4.45785i | 0.101493 | − | 0.245026i | −0.864974 | − | 0.501817i | \(-0.832665\pi\) |
0.966467 | + | 0.256791i | \(0.0826652\pi\) | |||||||
\(332\) | −26.0157 | + | 18.2275i | −1.42780 | + | 1.00036i | ||||
\(333\) | −5.72080 | + | 11.2277i | −0.313498 | + | 0.615274i | ||||
\(334\) | −11.6376 | − | 13.8652i | −0.636783 | − | 0.758669i | ||||
\(335\) | 3.34411 | + | 13.9292i | 0.182708 | + | 0.761034i | ||||
\(336\) | −0.691244 | + | 1.24872i | −0.0377104 | + | 0.0681231i | ||||
\(337\) | −17.2644 | − | 17.2644i | −0.940452 | − | 0.940452i | 0.0578717 | − | 0.998324i | \(-0.481569\pi\) |
−0.998324 | + | 0.0578717i | \(0.981569\pi\) | |||||||
\(338\) | 6.30048 | + | 8.83028i | 0.342701 | + | 0.480304i | ||||
\(339\) | −1.20830 | + | 1.41474i | −0.0656257 | + | 0.0768379i | ||||
\(340\) | −0.805243 | − | 3.62732i | −0.0436705 | − | 0.196719i | ||||
\(341\) | −0.631398 | − | 1.03035i | −0.0341921 | − | 0.0557965i | ||||
\(342\) | 30.0641 | + | 7.49126i | 1.62568 | + | 0.405081i | ||||
\(343\) | −9.62637 | − | 11.2710i | −0.519775 | − | 0.608579i | ||||
\(344\) | 3.20694 | + | 10.8094i | 0.172907 | + | 0.582806i | ||||
\(345\) | 0.0710016 | + | 0.902160i | 0.00382260 | + | 0.0485707i | ||||
\(346\) | 25.0973 | − | 7.91708i | 1.34924 | − | 0.425625i | ||||
\(347\) | 16.0423 | + | 9.83075i | 0.861197 | + | 0.527742i | 0.881572 | − | 0.472050i | \(-0.156486\pi\) |
−0.0203743 | + | 0.999792i | \(0.506486\pi\) | |||||||
\(348\) | −0.0317371 | − | 0.225354i | −0.00170128 | − | 0.0120802i | ||||
\(349\) | −18.8469 | − | 2.98506i | −1.00885 | − | 0.159787i | −0.369932 | − | 0.929059i | \(-0.620619\pi\) |
−0.638921 | + | 0.769272i | \(0.720619\pi\) | |||||||
\(350\) | −0.544325 | − | 1.34670i | −0.0290954 | − | 0.0719841i | ||||
\(351\) | 6.60179 | + | 4.79648i | 0.352377 | + | 0.256017i | ||||
\(352\) | −0.737884 | + | 0.0262948i | −0.0393293 | + | 0.00140151i | ||||
\(353\) | −8.68675 | − | 11.9563i | −0.462349 | − | 0.636369i | 0.512645 | − | 0.858601i | \(-0.328666\pi\) |
−0.974994 | + | 0.222232i | \(0.928666\pi\) | |||||||
\(354\) | 1.50441 | − | 0.105415i | 0.0799587 | − | 0.00560272i | ||||
\(355\) | −15.6233 | + | 6.47137i | −0.829197 | + | 0.343465i | ||||
\(356\) | 9.07263 | + | 8.02217i | 0.480849 | + | 0.425174i | ||||
\(357\) | −0.0256069 | + | 0.325366i | −0.00135526 | + | 0.0172202i | ||||
\(358\) | 3.02414 | − | 0.698633i | 0.159831 | − | 0.0369239i | ||||
\(359\) | 0.813248 | − | 2.50292i | 0.0429216 | − | 0.132099i | −0.927299 | − | 0.374320i | \(-0.877876\pi\) |
0.970221 | + | 0.242221i | \(0.0778760\pi\) | |||||||
\(360\) | −15.0740 | + | 7.19787i | −0.794472 | + | 0.379361i | ||||
\(361\) | 17.1479 | + | 33.6546i | 0.902519 | + | 1.77129i | ||||
\(362\) | −7.30460 | − | 3.09939i | −0.383921 | − | 0.162900i | ||||
\(363\) | −3.24461 | − | 0.778962i | −0.170298 | − | 0.0408849i | ||||
\(364\) | 10.5175 | + | 1.85143i | 0.551269 | + | 0.0970413i | ||||
\(365\) | 6.13089 | + | 18.8689i | 0.320905 | + | 0.987645i | ||||
\(366\) | 1.38084 | − | 0.829962i | 0.0721778 | − | 0.0433828i | ||||
\(367\) | 17.7622 | − | 2.81325i | 0.927178 | − | 0.146851i | 0.325457 | − | 0.945557i | \(-0.394482\pi\) |
0.601721 | + | 0.798706i | \(0.294482\pi\) | |||||||
\(368\) | −4.86120 | + | 3.28296i | −0.253408 | + | 0.171136i | ||||
\(369\) | −15.1710 | − | 10.7927i | −0.789772 | − | 0.561846i | ||||
\(370\) | 7.40314 | − | 10.0078i | 0.384871 | − | 0.520279i | ||||
\(371\) | 0.646541 | + | 4.08210i | 0.0335667 | + | 0.211932i | ||||
\(372\) | −0.537594 | + | 5.59988i | −0.0278729 | + | 0.290340i | ||||
\(373\) | 12.1681 | − | 3.95365i | 0.630040 | − | 0.204712i | 0.0234471 | − | 0.999725i | \(-0.492536\pi\) |
0.606593 | + | 0.795013i | \(0.292536\pi\) | |||||||
\(374\) | −0.151088 | + | 0.0753565i | −0.00781256 | + | 0.00389659i | ||||
\(375\) | −0.846266 | + | 3.52495i | −0.0437010 | + | 0.182028i | ||||
\(376\) | −2.27261 | + | 21.7119i | −0.117201 | + | 1.11970i | ||||
\(377\) | −1.51720 | + | 0.773054i | −0.0781400 | + | 0.0398143i | ||||
\(378\) | 2.94832 | − | 0.441060i | 0.151645 | − | 0.0226857i | ||||
\(379\) | 18.1870 | + | 5.90930i | 0.934201 | + | 0.303540i | 0.736279 | − | 0.676678i | \(-0.236581\pi\) |
0.197922 | + | 0.980218i | \(0.436581\pi\) | |||||||
\(380\) | −28.0726 | − | 12.1968i | −1.44009 | − | 0.625682i | ||||
\(381\) | −4.02866 | − | 0.317063i | −0.206395 | − | 0.0162436i | ||||
\(382\) | −3.13397 | + | 35.8804i | −0.160348 | + | 1.83580i | ||||
\(383\) | −5.46420 | − | 13.1917i | −0.279208 | − | 0.674067i | 0.720607 | − | 0.693344i | \(-0.243863\pi\) |
−0.999814 | + | 0.0192774i | \(0.993863\pi\) | |||||||
\(384\) | 2.81763 | + | 1.96874i | 0.143787 | + | 0.100467i | ||||
\(385\) | 0.251895 | − | 0.183012i | 0.0128377 | − | 0.00932716i | ||||
\(386\) | −25.1336 | − | 15.7002i | −1.27926 | − | 0.799119i | ||||
\(387\) | 6.81309 | − | 9.37741i | 0.346329 | − | 0.476681i | ||||
\(388\) | −3.28620 | − | 0.848867i | −0.166831 | − | 0.0430947i | ||||
\(389\) | 4.63862 | − | 29.2871i | 0.235187 | − | 1.48491i | −0.533778 | − | 0.845625i | \(-0.679228\pi\) |
0.768966 | − | 0.639290i | \(-0.220772\pi\) | |||||||
\(390\) | −2.78139 | − | 2.82956i | −0.140841 | − | 0.143280i | ||||
\(391\) | −0.700853 | + | 1.14369i | −0.0354437 | + | 0.0578388i | ||||
\(392\) | −13.0978 | + | 9.01012i | −0.661538 | + | 0.455080i | ||||
\(393\) | −1.48632 | + | 0.116976i | −0.0749749 | + | 0.00590065i | ||||
\(394\) | −1.84651 | − | 0.0158506i | −0.0930256 | − | 0.000798543i | ||||
\(395\) | −20.7642 | + | 17.7343i | −1.04476 | + | 0.892309i | ||||
\(396\) | 0.482979 | + | 0.585560i | 0.0242706 | + | 0.0294255i | ||||
\(397\) | −4.33299 | + | 2.65526i | −0.217467 | + | 0.133264i | −0.626966 | − | 0.779047i | \(-0.715703\pi\) |
0.409499 | + | 0.912310i | \(0.365703\pi\) | |||||||
\(398\) | 6.90867 | − | 7.94981i | 0.346300 | − | 0.398488i | ||||
\(399\) | 2.04436 | + | 1.74605i | 0.102346 | + | 0.0874119i | ||||
\(400\) | −3.36208 | + | 0.966140i | −0.168104 | + | 0.0483070i | ||||
\(401\) | 14.6854 | − | 14.6854i | 0.733352 | − | 0.733352i | −0.237930 | − | 0.971282i | \(-0.576469\pi\) |
0.971282 | + | 0.237930i | \(0.0764689\pi\) | |||||||
\(402\) | −2.98881 | − | 0.499716i | −0.149068 | − | 0.0249236i | ||||
\(403\) | 40.9294 | − | 9.82628i | 2.03884 | − | 0.489482i | ||||
\(404\) | −25.6323 | + | 1.57508i | −1.27526 | + | 0.0783634i | ||||
\(405\) | 14.7997 | + | 7.54082i | 0.735403 | + | 0.374706i | ||||
\(406\) | −0.197302 | + | 0.589953i | −0.00979192 | + | 0.0292789i | ||||
\(407\) | −0.522595 | − | 0.216466i | −0.0259041 | − | 0.0107298i | ||||
\(408\) | 0.772898 | + | 0.142906i | 0.0382642 | + | 0.00707489i | ||||
\(409\) | − | 27.4521i | − | 1.35742i | −0.734406 | − | 0.678710i | \(-0.762539\pi\) | ||
0.734406 | − | 0.678710i | \(-0.237461\pi\) | |||||||
\(410\) | 13.0237 | + | 12.9874i | 0.643194 | + | 0.641400i | ||||
\(411\) | − | 5.52426i | − | 0.272491i | ||||||
\(412\) | 18.8099 | − | 9.18086i | 0.926698 | − | 0.452308i | ||||
\(413\) | −3.80852 | − | 1.57754i | −0.187405 | − | 0.0776256i | ||||
\(414\) | 5.71897 | + | 1.91263i | 0.281072 | + | 0.0940008i | ||||
\(415\) | −28.7438 | − | 14.6457i | −1.41098 | − | 0.718930i | ||||
\(416\) | 7.07139 | − | 24.7275i | 0.346704 | − | 1.21236i | ||||
\(417\) | 3.34817 | − | 0.803824i | 0.163961 | − | 0.0393634i | ||||
\(418\) | −0.229354 | + | 1.37177i | −0.0112181 | + | 0.0670955i | ||||
\(419\) | −12.7939 | + | 12.7939i | −0.625024 | + | 0.625024i | −0.946812 | − | 0.321788i | \(-0.895716\pi\) |
0.321788 | + | 0.946812i | \(0.395716\pi\) | |||||||
\(420\) | −1.44927 | − | 0.0248833i | −0.0707173 | − | 0.00121418i | ||||
\(421\) | 16.4615 | + | 14.0595i | 0.802285 | + | 0.685216i | 0.952869 | − | 0.303381i | \(-0.0981154\pi\) |
−0.150584 | + | 0.988597i | \(0.548115\pi\) | |||||||
\(422\) | 29.5712 | + | 25.6984i | 1.43950 | + | 1.25098i | ||||
\(423\) | 19.1352 | − | 11.7261i | 0.930386 | − | 0.570141i | ||||
\(424\) | 9.93955 | − | 0.525178i | 0.482707 | − | 0.0255049i | ||||
\(425\) | −0.608260 | + | 0.519503i | −0.0295049 | + | 0.0251996i | ||||
\(426\) | 0.0307062 | − | 3.57710i | 0.00148772 | − | 0.173311i | ||||
\(427\) | −4.39020 | + | 0.345517i | −0.212457 | + | 0.0167207i | ||||
\(428\) | 5.94791 | + | 2.04613i | 0.287503 | + | 0.0989034i | ||||
\(429\) | −0.0942019 | + | 0.153723i | −0.00454811 | + | 0.00742184i | ||||
\(430\) | −8.16599 | + | 8.02699i | −0.393799 | + | 0.387096i | ||||
\(431\) | −3.09781 | + | 19.5588i | −0.149216 | + | 0.942116i | 0.793512 | + | 0.608555i | \(0.208250\pi\) |
−0.942729 | + | 0.333561i | \(0.891750\pi\) | |||||||
\(432\) | −0.317257 | − | 7.17241i | −0.0152640 | − | 0.345083i | ||||
\(433\) | 1.17648 | − | 1.61928i | 0.0565379 | − | 0.0778177i | −0.779812 | − | 0.626014i | \(-0.784685\pi\) |
0.836350 | + | 0.548196i | \(0.184685\pi\) | |||||||
\(434\) | 8.14688 | − | 13.0419i | 0.391063 | − | 0.626030i | ||||
\(435\) | 0.186980 | − | 0.135849i | 0.00896498 | − | 0.00651344i | ||||
\(436\) | 8.37708 | − | 13.1577i | 0.401189 | − | 0.630138i | ||||
\(437\) | 4.22845 | + | 10.2084i | 0.202274 | + | 0.488333i | ||||
\(438\) | −4.18101 | − | 0.365189i | −0.199776 | − | 0.0174494i | ||||
\(439\) | 26.9232 | + | 2.11890i | 1.28497 | + | 0.101130i | 0.702478 | − | 0.711705i | \(-0.252077\pi\) |
0.582495 | + | 0.812835i | \(0.302077\pi\) | |||||||
\(440\) | −0.375199 | − | 0.649222i | −0.0178869 | − | 0.0309504i | ||||
\(441\) | 15.5433 | + | 5.05031i | 0.740155 | + | 0.240491i | ||||
\(442\) | −0.870104 | − | 5.81632i | −0.0413866 | − | 0.276654i | ||||
\(443\) | −26.0781 | + | 13.2875i | −1.23901 | + | 0.631306i | −0.945802 | − | 0.324743i | \(-0.894722\pi\) |
−0.293206 | + | 0.956049i | \(0.594722\pi\) | |||||||
\(444\) | 1.33716 | + | 2.26856i | 0.0634586 | + | 0.107661i | ||||
\(445\) | −2.87117 | + | 11.9593i | −0.136107 | + | 0.566925i | ||||
\(446\) | −10.8455 | − | 21.7450i | −0.513551 | − | 1.02966i | ||||
\(447\) | 3.07096 | − | 0.997817i | 0.145252 | − | 0.0471951i | ||||
\(448\) | −4.49028 | − | 8.25321i | −0.212146 | − | 0.389927i | ||||
\(449\) | −2.60051 | − | 16.4190i | −0.122726 | − | 0.774860i | −0.969893 | − | 0.243533i | \(-0.921694\pi\) |
0.847167 | − | 0.531327i | \(-0.178306\pi\) | |||||||
\(450\) | 2.89112 | + | 2.13868i | 0.136289 | + | 0.100818i | ||||
\(451\) | 0.429549 | − | 0.716923i | 0.0202267 | − | 0.0337586i | ||||
\(452\) | −3.58417 | − | 11.7113i | −0.168585 | − | 0.550855i | ||||
\(453\) | −5.14279 | + | 0.814538i | −0.241629 | + | 0.0382703i | ||||
\(454\) | −17.5847 | − | 29.2564i | −0.825292 | − | 1.37307i | ||||
\(455\) | 3.35142 | + | 10.3146i | 0.157117 | + | 0.483557i | ||||
\(456\) | 4.69469 | − | 4.45892i | 0.219849 | − | 0.208808i | ||||
\(457\) | 20.5689 | + | 4.93816i | 0.962173 | + | 0.230997i | 0.683958 | − | 0.729521i | \(-0.260257\pi\) |
0.278215 | + | 0.960519i | \(0.410257\pi\) | |||||||
\(458\) | 0.703026 | − | 1.65688i | 0.0328503 | − | 0.0774211i | ||||
\(459\) | −0.745318 | − | 1.46277i | −0.0347885 | − | 0.0682762i | ||||
\(460\) | −5.26070 | − | 2.79524i | −0.245282 | − | 0.130329i | ||||
\(461\) | −1.31576 | + | 4.04949i | −0.0612810 | + | 0.188603i | −0.977010 | − | 0.213192i | \(-0.931614\pi\) |
0.915729 | + | 0.401796i | \(0.131614\pi\) | |||||||
\(462\) | 0.0148254 | + | 0.0641743i | 0.000689742 | + | 0.00298566i | ||||
\(463\) | 1.07808 | − | 13.6983i | 0.0501025 | − | 0.636612i | −0.919684 | − | 0.392658i | \(-0.871555\pi\) |
0.969787 | − | 0.243954i | \(-0.0784445\pi\) | |||||||
\(464\) | 1.36359 | + | 0.620485i | 0.0633032 | + | 0.0288053i | ||||
\(465\) | −5.27828 | + | 2.18634i | −0.244775 | + | 0.101389i | ||||
\(466\) | 1.08147 | + | 15.4341i | 0.0500981 | + | 0.714970i | ||||
\(467\) | −1.44939 | − | 1.99492i | −0.0670700 | − | 0.0923139i | 0.774164 | − | 0.632985i | \(-0.218170\pi\) |
−0.841234 | + | 0.540671i | \(0.818170\pi\) | |||||||
\(468\) | −24.5970 | + | 9.69713i | −1.13700 | + | 0.448250i | ||||
\(469\) | 6.70120 | + | 4.86870i | 0.309433 | + | 0.224816i | ||||
\(470\) | −20.5547 | + | 8.30804i | −0.948117 | + | 0.383221i | ||||
\(471\) | 3.74058 | + | 0.592450i | 0.172357 | + | 0.0272987i | ||||
\(472\) | −4.73336 | + | 8.72667i | −0.217870 | + | 0.401678i | ||||
\(473\) | 0.443640 | + | 0.271863i | 0.0203986 | + | 0.0125003i | ||||
\(474\) | −1.73779 | − | 5.50883i | −0.0798195 | − | 0.253029i | ||||
\(475\) | 0.516995 | + | 6.56904i | 0.0237214 | + | 0.301408i | ||||
\(476\) | −1.71622 | − | 1.29250i | −0.0786629 | − | 0.0592416i | ||||
\(477\) | −6.64539 | − | 7.78076i | −0.304272 | − | 0.356256i | ||||
\(478\) | 5.40841 | − | 21.7051i | 0.247375 | − | 0.992770i | ||||
\(479\) | −11.8355 | − | 19.3137i | −0.540776 | − | 0.882466i | 0.459207 | − | 0.888329i | \(-0.348134\pi\) |
−0.999983 | + | 0.00586355i | \(0.998134\pi\) | |||||||
\(480\) | −0.422946 | + | 3.46507i | −0.0193048 | + | 0.158158i | ||||
\(481\) | 12.7962 | − | 14.9824i | 0.583455 | − | 0.683138i | ||||
\(482\) | 11.7878 | − | 8.41066i | 0.536918 | − | 0.383095i | ||||
\(483\) | 0.370007 | + | 0.370007i | 0.0168359 | + | 0.0168359i | ||||
\(484\) | 15.7966 | − | 15.2633i | 0.718028 | − | 0.693788i | ||||
\(485\) | −0.804658 | − | 3.35164i | −0.0365376 | − | 0.152190i | ||||
\(486\) | −8.52398 | + | 7.15455i | −0.386656 | + | 0.324537i | ||||
\(487\) | −11.6528 | + | 22.8699i | −0.528038 | + | 1.03633i | 0.460824 | + | 0.887492i | \(0.347554\pi\) |
−0.988861 | + | 0.148840i | \(0.952446\pi\) | |||||||
\(488\) | −0.273082 | + | 10.6021i | −0.0123618 | + | 0.479933i | ||||
\(489\) | −0.581308 | + | 1.40340i | −0.0262876 | + | 0.0634640i | ||||
\(490\) | −14.3219 | − | 7.45289i | −0.646996 | − | 0.336687i | ||||
\(491\) | 39.8567 | 1.79871 | 0.899354 | − | 0.437222i | \(-0.144038\pi\) | ||||
0.899354 | + | 0.437222i | \(0.144038\pi\) | |||||||
\(492\) | −3.60519 | + | 1.46305i | −0.162535 | + | 0.0659594i | ||||
\(493\) | 0.342574 | 0.0154287 | ||||||||
\(494\) | −42.9749 | − | 22.3635i | −1.93353 | − | 1.00618i | ||||
\(495\) | −0.294994 | + | 0.712179i | −0.0132590 | + | 0.0320101i | ||||
\(496\) | −29.1955 | − | 22.7832i | −1.31091 | − | 1.02299i | ||||
\(497\) | −4.43919 | + | 8.71239i | −0.199125 | + | 0.390804i | ||||
\(498\) | 5.22704 | − | 4.38728i | 0.234229 | − | 0.196599i | ||||
\(499\) | −4.20733 | − | 17.5248i | −0.188346 | − | 0.784517i | −0.983913 | − | 0.178651i | \(-0.942827\pi\) |
0.795567 | − | 0.605866i | \(-0.207173\pi\) | |||||||
\(500\) | −16.5821 | − | 17.1615i | −0.741574 | − | 0.767484i | ||||
\(501\) | 2.74982 | + | 2.74982i | 0.122853 | + | 0.122853i | ||||
\(502\) | −30.7638 | + | 21.9502i | −1.37305 | + | 0.979686i | ||||
\(503\) | −15.2453 | + | 17.8500i | −0.679754 | + | 0.795890i | −0.987841 | − | 0.155468i | \(-0.950311\pi\) |
0.308087 | + | 0.951358i | \(0.400311\pi\) | |||||||
\(504\) | −3.92487 | + | 8.82558i | −0.174828 | + | 0.393122i | ||||
\(505\) | −13.6269 | − | 22.2371i | −0.606390 | − | 0.989539i | ||||
\(506\) | −0.0654496 | + | 0.262664i | −0.00290959 | + | 0.0116768i | ||||
\(507\) | −1.51347 | − | 1.77205i | −0.0672155 | − | 0.0786993i | ||||
\(508\) | 16.0036 | − | 21.2502i | 0.710046 | − | 0.942823i | ||||
\(509\) | −0.833446 | − | 10.5899i | −0.0369418 | − | 0.469391i | −0.987368 | − | 0.158441i | \(-0.949353\pi\) |
0.950427 | − | 0.310949i | \(-0.100647\pi\) | |||||||
\(510\) | 0.240141 | + | 0.761251i | 0.0106336 | + | 0.0337088i | ||||
\(511\) | 9.78153 | + | 5.99413i | 0.432710 | + | 0.265165i | ||||
\(512\) | −20.8939 | + | 8.68599i | −0.923387 | + | 0.383870i | ||||
\(513\) | −13.3572 | − | 2.11557i | −0.589733 | − | 0.0934046i | ||||
\(514\) | −13.4270 | + | 5.42709i | −0.592239 | + | 0.239379i | ||||
\(515\) | 17.1969 | + | 12.4943i | 0.757787 | + | 0.550565i | ||||
\(516\) | −0.888399 | − | 2.25344i | −0.0391096 | − | 0.0992024i | ||||
\(517\) | 0.592142 | + | 0.815013i | 0.0260424 | + | 0.0358442i | ||||
\(518\) | −0.503133 | − | 7.18040i | −0.0221064 | − | 0.315489i | ||||
\(519\) | −5.22322 | + | 2.16353i | −0.229274 | + | 0.0949684i | ||||
\(520\) | 25.5459 | − | 5.44138i | 1.12026 | − | 0.238620i | ||||
\(521\) | 1.10151 | − | 13.9960i | 0.0482581 | − | 0.613177i | −0.924474 | − | 0.381245i | \(-0.875495\pi\) |
0.972732 | − | 0.231932i | \(-0.0745046\pi\) | |||||||
\(522\) | −0.346664 | − | 1.50059i | −0.0151731 | − | 0.0656791i | ||||
\(523\) | −2.37882 | + | 7.32126i | −0.104019 | + | 0.320136i | −0.989499 | − | 0.144541i | \(-0.953830\pi\) |
0.885480 | + | 0.464677i | \(0.153830\pi\) | |||||||
\(524\) | 4.60519 | − | 8.66707i | 0.201179 | − | 0.378623i | ||||
\(525\) | 0.141668 | + | 0.278040i | 0.00618291 | + | 0.0121346i | ||||
\(526\) | −2.42603 | + | 5.71764i | −0.105780 | + | 0.249301i | ||||
\(527\) | −8.23429 | − | 1.97688i | −0.358691 | − | 0.0861142i | ||||
\(528\) | 0.157427 | − | 0.0194209i | 0.00685115 | − | 0.000845186i | ||||
\(529\) | −6.44283 | − | 19.8290i | −0.280123 | − | 0.862130i | ||||
\(530\) | 5.20740 | + | 8.66377i | 0.226195 | + | 0.376330i | ||||
\(531\) | 10.0803 | − | 1.59656i | 0.437447 | − | 0.0692849i | ||||
\(532\) | −16.9235 | + | 5.17931i | −0.733726 | + | 0.224551i | ||||
\(533\) | 19.1265 | + | 21.9469i | 0.828459 | + | 0.950624i | ||||
\(534\) | −2.09165 | − | 1.54728i | −0.0905144 | − | 0.0669572i | ||||
\(535\) | 0.999287 | + | 6.30925i | 0.0432029 | + | 0.272773i | ||||
\(536\) | 13.3416 | − | 14.8301i | 0.576269 | − | 0.640563i | ||||
\(537\) | −0.634155 | + | 0.206049i | −0.0273658 | + | 0.00889169i | ||||
\(538\) | 13.2492 | + | 26.5642i | 0.571212 | + | 1.14526i | ||||
\(539\) | −0.171262 | + | 0.713357i | −0.00737677 | + | 0.0307265i | ||||
\(540\) | 6.28121 | − | 3.70233i | 0.270300 | − | 0.159323i | ||||
\(541\) | −20.7913 | + | 10.5937i | −0.893890 | + | 0.455460i | −0.839687 | − | 0.543070i | \(-0.817262\pi\) |
−0.0542025 | + | 0.998530i | \(0.517262\pi\) | |||||||
\(542\) | 0.507372 | + | 3.39159i | 0.0217935 | + | 0.145681i | ||||
\(543\) | 1.62124 | + | 0.526772i | 0.0695739 | + | 0.0226059i | ||||
\(544\) | −3.52607 | + | 3.78666i | −0.151179 | + | 0.162352i | ||||
\(545\) | 15.7920 | + | 1.24285i | 0.676454 | + | 0.0532381i | ||||
\(546\) | −2.28553 | − | 0.199629i | −0.0978116 | − | 0.00854334i | ||||
\(547\) | −5.78327 | − | 13.9620i | −0.247275 | − | 0.596974i | 0.750696 | − | 0.660648i | \(-0.229718\pi\) |
−0.997971 | + | 0.0636739i | \(0.979718\pi\) | |||||||
\(548\) | 30.6761 | + | 19.5305i | 1.31042 | + | 0.834303i | ||||
\(549\) | 8.82055 | − | 6.40851i | 0.376452 | − | 0.273508i | ||||
\(550\) | −0.0855248 | + | 0.136912i | −0.00364679 | + | 0.00583794i | ||||
\(551\) | 1.65872 | − | 2.28303i | 0.0706637 | − | 0.0972602i | ||||
\(552\) | 0.979005 | − | 0.793477i | 0.0416692 | − | 0.0337726i | ||||
\(553\) | −2.47003 | + | 15.5951i | −0.105036 | + | 0.663173i | ||||
\(554\) | −29.3390 | + | 28.8395i | −1.24649 | + | 1.22527i | ||||
\(555\) | −1.39731 | + | 2.28021i | −0.0593127 | + | 0.0967895i | ||||
\(556\) | −7.37354 | + | 21.4342i | −0.312708 | + | 0.909012i | ||||
\(557\) | 37.7765 | − | 2.97307i | 1.60064 | − | 0.125973i | 0.753539 | − | 0.657404i | \(-0.228345\pi\) |
0.847102 | + | 0.531431i | \(0.178345\pi\) | |||||||
\(558\) | −0.326793 | + | 38.0695i | −0.0138343 | + | 1.61161i | ||||
\(559\) | −13.7815 | + | 11.7705i | −0.582895 | + | 0.497840i | ||||
\(560\) | 5.26196 | − | 7.95982i | 0.222358 | − | 0.336364i | ||||
\(561\) | 0.0309265 | − | 0.0189518i | 0.00130572 | − | 0.000800145i | ||||
\(562\) | −7.08048 | − | 6.15319i | −0.298672 | − | 0.259557i | ||||
\(563\) | −1.60877 | − | 1.37402i | −0.0678016 | − | 0.0579080i | 0.614902 | − | 0.788604i | \(-0.289196\pi\) |
−0.682703 | + | 0.730696i | \(0.739196\pi\) | |||||||
\(564\) | 0.0805107 | − | 4.68917i | 0.00339011 | − | 0.197450i | ||||
\(565\) | 8.79508 | − | 8.79508i | 0.370012 | − | 0.370012i | ||||
\(566\) | 7.07110 | − | 42.2923i | 0.297220 | − | 1.77768i | ||||
\(567\) | 9.33906 | − | 2.24211i | 0.392204 | − | 0.0941598i | ||||
\(568\) | 19.7550 | + | 12.8170i | 0.828902 | + | 0.537791i | ||||
\(569\) | 21.8953 | + | 11.1562i | 0.917899 | + | 0.467693i | 0.848081 | − | 0.529867i | \(-0.177758\pi\) |
0.0698182 | + | 0.997560i | \(0.477758\pi\) | |||||||
\(570\) | 6.23598 | + | 2.08554i | 0.261197 | + | 0.0873537i | ||||
\(571\) | −17.9499 | − | 7.43507i | −0.751178 | − | 0.311148i | −0.0259559 | − | 0.999663i | \(-0.508263\pi\) |
−0.725222 | + | 0.688515i | \(0.758263\pi\) | |||||||
\(572\) | −0.520582 | − | 1.06658i | −0.0217666 | − | 0.0445959i | ||||
\(573\) | − | 7.73757i | − | 0.323242i | ||||||
\(574\) | 10.6035 | + | 0.819619i | 0.442582 | + | 0.0342102i | ||||
\(575\) | 1.28249i | 0.0534837i | ||||||||
\(576\) | 20.1551 | + | 11.6135i | 0.839794 | + | 0.483897i | ||||
\(577\) | 14.5203 | + | 6.01449i | 0.604487 | + | 0.250387i | 0.663869 | − | 0.747849i | \(-0.268913\pi\) |
−0.0593824 | + | 0.998235i | \(0.518913\pi\) | |||||||
\(578\) | 7.25000 | − | 21.6783i | 0.301560 | − | 0.901697i | ||||
\(579\) | 5.67247 | + | 2.89027i | 0.235740 | + | 0.120115i | ||||
\(580\) | 0.0933153 | + | 1.51858i | 0.00387470 | + | 0.0630554i | ||||
\(581\) | −18.1383 | + | 4.35461i | −0.752502 | + | 0.180660i | ||||
\(582\) | 0.719166 | + | 0.120242i | 0.0298104 | + | 0.00498418i | ||||
\(583\) | 0.324789 | − | 0.324789i | 0.0134514 | − | 0.0134514i | ||||
\(584\) | 16.8095 | − | 21.9260i | 0.695582 | − | 0.907304i | ||||
\(585\) | −20.4176 | − | 17.4383i | −0.844165 | − | 0.720985i | ||||
\(586\) | 8.04327 | − | 9.25540i | 0.332265 | − | 0.382337i | ||||
\(587\) | 32.7606 | − | 20.0757i | 1.35217 | − | 0.828613i | 0.357724 | − | 0.933827i | \(-0.383553\pi\) |
0.994450 | + | 0.105214i | \(0.0335528\pi\) | |||||||
\(588\) | 2.63471 | − | 2.17315i | 0.108653 | − | 0.0896191i | ||||
\(589\) | −53.0444 | + | 45.3042i | −2.18566 | + | 1.86673i | ||||
\(590\) | −10.0818 | − | 0.0865436i | −0.415063 | − | 0.00356295i | ||||
\(591\) | 0.395478 | − | 0.0311248i | 0.0162678 | − | 0.00128030i | ||||
\(592\) | −17.3247 | − | 0.595087i | −0.712040 | − | 0.0244579i | ||||
\(593\) | 9.50204 | − | 15.5059i | 0.390202 | − | 0.636752i | −0.595868 | − | 0.803082i | \(-0.703192\pi\) |
0.986070 | + | 0.166330i | \(0.0531918\pi\) | |||||||
\(594\) | −0.232251 | − | 0.236273i | −0.00952938 | − | 0.00969440i | ||||
\(595\) | 0.341327 | − | 2.15505i | 0.0139930 | − | 0.0883485i | ||||
\(596\) | −5.31627 | + | 20.5807i | −0.217763 | + | 0.843019i | ||||
\(597\) | −1.32996 | + | 1.83053i | −0.0544316 | + | 0.0749186i | ||||
\(598\) | −7.99697 | − | 4.99547i | −0.327020 | − | 0.204280i | ||||
\(599\) | 32.0475 | − | 23.2838i | 1.30942 | − | 0.951352i | 0.309424 | − | 0.950924i | \(-0.399864\pi\) |
1.00000 | 0.000428024i | \(-0.000136244\pi\) | ||||||||
\(600\) | 0.701479 | − | 0.269617i | 0.0286378 | − | 0.0110071i | ||||
\(601\) | −4.81587 | − | 11.6265i | −0.196443 | − | 0.474256i | 0.794708 | − | 0.606992i | \(-0.207624\pi\) |
−0.991151 | + | 0.132736i | \(0.957624\pi\) | |||||||
\(602\) | −0.576122 | + | 6.59595i | −0.0234810 | + | 0.268831i | ||||
\(603\) | −20.4440 | − | 1.60898i | −0.832545 | − | 0.0655227i | ||||
\(604\) | 13.6588 | − | 31.4376i | 0.555768 | − | 1.27918i | ||||
\(605\) | 21.2159 | + | 6.89348i | 0.862550 | + | 0.280260i | ||||
\(606\) | 5.45628 | − | 0.816243i | 0.221646 | − | 0.0331576i | ||||
\(607\) | −12.4418 | + | 6.33944i | −0.504999 | + | 0.257310i | −0.687879 | − | 0.725825i | \(-0.741458\pi\) |
0.182880 | + | 0.983135i | \(0.441458\pi\) | |||||||
\(608\) | 8.16263 | + | 41.8337i | 0.331038 | + | 1.69658i | ||||
\(609\) | 0.0311976 | − | 0.129947i | 0.00126419 | − | 0.00526574i | ||||
\(610\) | −9.63831 | + | 4.80720i | −0.390244 | + | 0.194638i | ||||
\(611\) | −33.3733 | + | 10.8436i | −1.35014 | + | 0.438687i | ||||
\(612\) | 5.29483 | + | 0.508309i | 0.214031 | + | 0.0205472i | ||||
\(613\) | −3.64910 | − | 23.0395i | −0.147386 | − | 0.930558i | −0.944924 | − | 0.327290i | \(-0.893865\pi\) |
0.797538 | − | 0.603269i | \(-0.206135\pi\) | |||||||
\(614\) | −21.9709 | + | 29.7009i | −0.886674 | + | 1.19863i | ||||
\(615\) | −3.03005 | − | 2.53605i | −0.122183 | − | 0.102263i | ||||
\(616\) | −0.408773 | − | 0.144557i | −0.0164699 | − | 0.00582437i | ||||
\(617\) | 12.6966 | − | 2.01095i | 0.511148 | − | 0.0809578i | 0.104467 | − | 0.994528i | \(-0.466686\pi\) |
0.406680 | + | 0.913571i | \(0.366686\pi\) | |||||||
\(618\) | −3.85400 | + | 2.31647i | −0.155031 | + | 0.0931819i | ||||
\(619\) | 8.19755 | + | 25.2295i | 0.329487 | + | 1.01406i | 0.969374 | + | 0.245589i | \(0.0789813\pi\) |
−0.639887 | + | 0.768469i | \(0.721019\pi\) | |||||||
\(620\) | 6.52022 | − | 37.0399i | 0.261858 | − | 1.48756i | ||||
\(621\) | −2.55940 | − | 0.614457i | −0.102705 | − | 0.0246573i | ||||
\(622\) | 19.5352 | + | 8.28892i | 0.783291 | + | 0.332355i | ||||
\(623\) | 3.22865 | + | 6.33658i | 0.129353 | + | 0.253870i | ||||
\(624\) | −1.05116 | + | 5.42426i | −0.0420799 | + | 0.217144i | ||||
\(625\) | 6.13785 | − | 18.8904i | 0.245514 | − | 0.755614i | ||||
\(626\) | 40.0027 | − | 9.24136i | 1.59883 | − | 0.369359i | ||||
\(627\) | 0.0234427 | − | 0.297868i | 0.000936212 | − | 0.0118957i | ||||
\(628\) | −16.5144 | + | 18.6769i | −0.658996 | + | 0.745288i | ||||
\(629\) | −3.66220 | + | 1.51693i | −0.146021 | + | 0.0604840i | ||||
\(630\) | −9.78527 | + | 0.685657i | −0.389855 | + | 0.0273172i | ||||
\(631\) | −12.0127 | − | 16.5340i | −0.478217 | − | 0.658210i | 0.499944 | − | 0.866058i | \(-0.333354\pi\) |
−0.978161 | + | 0.207848i | \(0.933354\pi\) | |||||||
\(632\) | 36.7343 | + | 9.82607i | 1.46121 | + | 0.390860i | ||||
\(633\) | −6.80908 | − | 4.94709i | −0.270637 | − | 0.196629i | ||||
\(634\) | 13.1375 | + | 32.5030i | 0.521756 | + | 1.29086i | ||||
\(635\) | 26.6837 | + | 4.22629i | 1.05891 | + | 0.167715i | ||||
\(636\) | −2.11741 | + | 0.298198i | −0.0839606 | + | 0.0118243i | ||||
\(637\) | −21.7885 | − | 13.3520i | −0.863292 | − | 0.529026i | ||||
\(638\) | 0.0659314 | − | 0.0207984i | 0.00261025 | − | 0.000823418i | ||||
\(639\) | −1.89938 | − | 24.1339i | −0.0751384 | − | 0.954724i | ||||
\(640\) | −17.7462 | − | 14.5991i | −0.701479 | − | 0.577079i | ||||
\(641\) | 27.6577 | + | 32.3830i | 1.09241 | + | 1.27905i | 0.957575 | + | 0.288183i | \(0.0930510\pi\) |
0.134837 | + | 0.990868i | \(0.456949\pi\) | |||||||
\(642\) | −1.31120 | − | 0.326719i | −0.0517488 | − | 0.0128946i | ||||
\(643\) | 2.49973 | + | 4.07919i | 0.0985798 | + | 0.160868i | 0.898128 | − | 0.439735i | \(-0.144928\pi\) |
−0.799548 | + | 0.600602i | \(0.794928\pi\) | |||||||
\(644\) | −3.36277 | + | 0.746515i | −0.132512 | + | 0.0294168i | ||||
\(645\) | 1.59760 | − | 1.87055i | 0.0629055 | − | 0.0736529i | ||||
\(646\) | 5.66091 | + | 7.93390i | 0.222725 | + | 0.312155i | ||||
\(647\) | 28.0505 | + | 28.0505i | 1.10278 | + | 1.10278i | 0.994074 | + | 0.108705i | \(0.0346703\pi\) |
0.108705 | + | 0.994074i | \(0.465330\pi\) | |||||||
\(648\) | −3.02892 | − | 22.9311i | −0.118987 | − | 0.900818i | ||||
\(649\) | 0.106949 | + | 0.445476i | 0.00419813 | + | 0.0174865i | ||||
\(650\) | −3.61501 | − | 4.30695i | −0.141792 | − | 0.168932i | ||||
\(651\) | −1.49977 | + | 2.94346i | −0.0587805 | + | 0.115363i | ||||
\(652\) | −5.73790 | − | 8.18960i | −0.224714 | − | 0.320729i | ||||
\(653\) | −18.4480 | + | 44.5374i | −0.721926 | + | 1.74288i | −0.0541347 | + | 0.998534i | \(0.517240\pi\) |
−0.667791 | + | 0.744349i | \(0.732760\pi\) | |||||||
\(654\) | −1.54687 | + | 2.97255i | −0.0604874 | + | 0.116236i | ||||
\(655\) | 9.96731 | 0.389455 | ||||||||
\(656\) | 4.62155 | − | 25.1921i | 0.180441 | − | 0.983586i | ||||
\(657\) | −28.4023 | −1.10808 | ||||||||
\(658\) | −5.91775 | + | 11.3718i | −0.230698 | + | 0.443321i | ||||
\(659\) | −5.22152 | + | 12.6059i | −0.203402 | + | 0.491055i | −0.992358 | − | 0.123395i | \(-0.960622\pi\) |
0.788956 | + | 0.614450i | \(0.210622\pi\) | |||||||
\(660\) | 0.0924346 | + | 0.131930i | 0.00359801 | + | 0.00513537i | ||||
\(661\) | −8.04929 | + | 15.7976i | −0.313081 | + | 0.614456i | −0.992904 | − | 0.118920i | \(-0.962057\pi\) |
0.679823 | + | 0.733376i | \(0.262057\pi\) | |||||||
\(662\) | −4.38699 | − | 5.22669i | −0.170505 | − | 0.203141i | ||||
\(663\) | 0.294942 | + | 1.22852i | 0.0114546 | + | 0.0477118i | ||||
\(664\) | 5.88275 | + | 44.5366i | 0.228295 | + | 1.72835i | ||||
\(665\) | −12.7093 | − | 12.7093i | −0.492846 | − | 0.492846i | ||||
\(666\) | 10.3506 | + | 14.5066i | 0.401078 | + | 0.562121i | ||||
\(667\) | 0.356706 | − | 0.417648i | 0.0138117 | − | 0.0161714i | ||||
\(668\) | −24.9915 | + | 5.54797i | −0.966951 | + | 0.214657i | ||||
\(669\) | 2.72760 | + | 4.45104i | 0.105455 | + | 0.172087i | ||||
\(670\) | 19.6575 | + | 4.89820i | 0.759437 | + | 0.189234i | ||||
\(671\) | 0.317850 | + | 0.372155i | 0.0122705 | + | 0.0143669i | ||||
\(672\) | 1.11527 | + | 1.68238i | 0.0430225 | + | 0.0648992i | ||||
\(673\) | −2.35035 | − | 29.8640i | −0.0905992 | − | 1.15117i | −0.859268 | − | 0.511526i | \(-0.829081\pi\) |
0.768669 | − | 0.639647i | \(-0.220919\pi\) | |||||||
\(674\) | −32.9292 | + | 10.3877i | −1.26839 | + | 0.400120i | ||||
\(675\) | −1.33836 | − | 0.820149i | −0.0515136 | − | 0.0315676i | ||||
\(676\) | 15.1909 | − | 2.13936i | 0.584265 | − | 0.0822832i | ||||
\(677\) | −7.34411 | − | 1.16319i | −0.282257 | − | 0.0447051i | 0.0137008 | − | 0.999906i | \(-0.495639\pi\) |
−0.295958 | + | 0.955201i | \(0.595639\pi\) | |||||||
\(678\) | 0.985992 | + | 2.43941i | 0.0378668 | + | 0.0936851i | ||||
\(679\) | −1.61244 | − | 1.17151i | −0.0618798 | − | 0.0449583i | ||||
\(680\) | −5.07622 | − | 1.35784i | −0.194664 | − | 0.0520707i | ||||
\(681\) | 4.31031 | + | 5.93263i | 0.165171 | + | 0.227339i | ||||
\(682\) | −1.70478 | + | 0.119455i | −0.0652796 | + | 0.00457416i | ||||
\(683\) | −33.4642 | + | 13.8613i | −1.28047 | + | 0.530389i | −0.916132 | − | 0.400877i | \(-0.868705\pi\) |
−0.364340 | + | 0.931266i | \(0.618705\pi\) | |||||||
\(684\) | 29.0247 | − | 32.8254i | 1.10979 | − | 1.25511i | ||||
\(685\) | −2.89762 | + | 36.8178i | −0.110713 | + | 1.40674i | ||||
\(686\) | −20.4241 | + | 4.71834i | −0.779796 | + | 0.180147i | ||||
\(687\) | −0.119486 | + | 0.367741i | −0.00455869 | + | 0.0140302i | ||||
\(688\) | 15.6542 | + | 3.03360i | 0.596811 | + | 0.115655i | ||||
\(689\) | 7.26354 | + | 14.2555i | 0.276719 | + | 0.543091i | ||||
\(690\) | 1.17813 | + | 0.499887i | 0.0448505 | + | 0.0190304i | ||||
\(691\) | −7.84909 | − | 1.88440i | −0.298593 | − | 0.0716859i | 0.0813807 | − | 0.996683i | \(-0.474067\pi\) |
−0.379974 | + | 0.924997i | \(0.624067\pi\) | |||||||
\(692\) | 6.45221 | − | 36.6535i | 0.245276 | − | 1.39336i | ||||
\(693\) | 0.137739 | + | 0.423916i | 0.00523226 | + | 0.0161032i | ||||
\(694\) | 22.8058 | − | 13.7075i | 0.865696 | − | 0.520331i | ||||
\(695\) | −22.7363 | + | 3.60108i | −0.862439 | + | 0.136597i | ||||
\(696\) | −0.303429 | − | 0.107304i | −0.0115015 | − | 0.00406734i | ||||
\(697\) | −1.42400 | − | 5.68101i | −0.0539378 | − | 0.215183i | ||||
\(698\) | −16.0487 | + | 21.6950i | −0.607452 | + | 0.821169i | ||||
\(699\) | −0.519964 | − | 3.28292i | −0.0196668 | − | 0.124172i | ||||
\(700\) | −2.04481 | − | 0.196303i | −0.0772865 | − | 0.00741957i | ||||
\(701\) | 15.9918 | − | 5.19606i | 0.604003 | − | 0.196253i | 0.00897818 | − | 0.999960i | \(-0.497142\pi\) |
0.595025 | + | 0.803707i | \(0.297142\pi\) | |||||||
\(702\) | 10.3271 | − | 5.15075i | 0.389772 | − | 0.194403i | ||||
\(703\) | −7.62274 | + | 31.7510i | −0.287497 | + | 1.19751i | ||||
\(704\) | −0.448727 | + | 0.942853i | −0.0169120 | + | 0.0355351i | ||||
\(705\) | 4.24373 | − | 2.16229i | 0.159828 | − | 0.0814364i | ||||
\(706\) | −20.6703 | + | 3.09222i | −0.777938 | + | 0.116377i | ||||
\(707\) | −14.3423 | − | 4.66010i | −0.539398 | − | 0.175261i | ||||
\(708\) | 0.849885 | − | 1.95613i | 0.0319406 | − | 0.0735158i | ||||
\(709\) | −33.4973 | − | 2.63630i | −1.25802 | − | 0.0990083i | −0.568139 | − | 0.822932i | \(-0.692337\pi\) |
−0.689880 | + | 0.723924i | \(0.742337\pi\) | |||||||
\(710\) | −2.08093 | + | 23.8244i | −0.0780961 | + | 0.894112i | ||||
\(711\) | −14.9597 | − | 36.1158i | −0.561031 | − | 1.35445i | ||||
\(712\) | 15.9868 | − | 6.14463i | 0.599132 | − | 0.230280i | ||||
\(713\) | −10.9841 | + | 7.98041i | −0.411357 | + | 0.298869i | ||||
\(714\) | 0.391460 | + | 0.244534i | 0.0146500 | + | 0.00915144i | ||||
\(715\) | 0.708464 | − | 0.975117i | 0.0264951 | − | 0.0364673i | ||||
\(716\) | 1.09781 | − | 4.24993i | 0.0410271 | − | 0.158827i | ||||
\(717\) | −0.751747 | + | 4.74634i | −0.0280745 | + | 0.177255i | ||||
\(718\) | −2.60904 | − | 2.65422i | −0.0973684 | − | 0.0990545i | ||||
\(719\) | 11.1696 | − | 18.2272i | 0.416556 | − | 0.679758i | −0.573692 | − | 0.819071i | \(-0.694489\pi\) |
0.990248 | + | 0.139313i | \(0.0444894\pi\) | |||||||
\(720\) | −0.810970 | + | 23.6096i | −0.0302231 | + | 0.879879i | ||||
\(721\) | 12.2533 | − | 0.964354i | 0.456336 | − | 0.0359144i | ||||
\(722\) | 53.4148 | + | 0.458519i | 1.98789 | + | 0.0170643i | ||||
\(723\) | −2.36555 | + | 2.02037i | −0.0879756 | + | 0.0751383i | ||||
\(724\) | −8.65690 | + | 7.14035i | −0.321731 | + | 0.265369i | ||||
\(725\) | 0.279275 | − | 0.171140i | 0.0103720 | − | 0.00635599i | ||||
\(726\) | −3.09541 | + | 3.56188i | −0.114881 | + | 0.132194i | ||||
\(727\) | −30.3591 | − | 25.9291i | −1.12596 | − | 0.961658i | −0.126417 | − | 0.991977i | \(-0.540348\pi\) |
−0.999540 | + | 0.0303193i | \(0.990348\pi\) | |||||||
\(728\) | 9.18883 | − | 11.9857i | 0.340561 | − | 0.444221i | ||||
\(729\) | −15.6572 | + | 15.6572i | −0.579895 | + | 0.579895i | ||||
\(730\) | 27.6738 | + | 4.62695i | 1.02425 | + | 0.171251i | ||||
\(731\) | 3.54546 | − | 0.851191i | 0.131134 | − | 0.0314824i | ||||
\(732\) | −0.139742 | − | 2.27411i | −0.00516503 | − | 0.0840537i | ||||
\(733\) | −19.5528 | − | 9.96267i | −0.722201 | − | 0.367980i | 0.0539359 | − | 0.998544i | \(-0.482823\pi\) |
−0.776137 | + | 0.630565i | \(0.782823\pi\) | |||||||
\(734\) | 8.06645 | − | 24.1195i | 0.297738 | − | 0.890268i | ||||
\(735\) | 3.20443 | + | 1.32732i | 0.118197 | + | 0.0489588i | ||||
\(736\) | 0.944979 | + | 8.24168i | 0.0348324 | + | 0.303792i | ||||
\(737\) | − | 0.920549i | − | 0.0339089i | ||||||
\(738\) | −23.4438 | + | 11.9865i | −0.862977 | + | 0.441227i | ||||
\(739\) | − | 5.96203i | − | 0.219317i | −0.993969 | − | 0.109658i | \(-0.965024\pi\) | ||
0.993969 | − | 0.109658i | \(-0.0349757\pi\) | |||||||
\(740\) | −7.72189 | − | 15.8208i | −0.283862 | − | 0.581582i | ||||
\(741\) | 9.61537 | + | 3.98282i | 0.353229 | + | 0.146312i | ||||
\(742\) | 5.54314 | + | 1.85383i | 0.203495 | + | 0.0680562i | ||||
\(743\) | −5.88472 | − | 2.99841i | −0.215889 | − | 0.110001i | 0.342702 | − | 0.939444i | \(-0.388658\pi\) |
−0.558591 | + | 0.829443i | \(0.688658\pi\) | |||||||
\(744\) | 6.67418 | + | 4.33020i | 0.244687 | + | 0.158753i | ||||
\(745\) | −20.9906 | + | 5.03940i | −0.769036 | + | 0.184629i | ||||
\(746\) | 2.98380 | − | 17.8461i | 0.109245 | − | 0.653393i | ||||
\(747\) | 32.6559 | − | 32.6559i | 1.19482 | − | 1.19482i | ||||
\(748\) | −0.00409899 | + | 0.238737i | −0.000149874 | + | 0.00872909i | ||||
\(749\) | 2.80869 | + | 2.39885i | 0.102627 | + | 0.0876519i | ||||
\(750\) | 3.86964 | + | 3.36285i | 0.141299 | + | 0.122794i | ||||
\(751\) | 18.6109 | − | 11.4048i | 0.679122 | − | 0.416166i | −0.139716 | − | 0.990192i | \(-0.544619\pi\) |
0.818838 | + | 0.574025i | \(0.194619\pi\) | |||||||
\(752\) | 25.7543 | + | 17.0252i | 0.939161 | + | 0.620847i | ||||
\(753\) | 6.17362 | − | 5.27277i | 0.224979 | − | 0.192150i | ||||
\(754\) | −0.0206708 | + | 2.40803i | −0.000752787 | + | 0.0876953i | ||||
\(755\) | 34.7027 | − | 2.73116i | 1.26296 | − | 0.0993971i | ||||
\(756\) | 1.37144 | − | 3.98665i | 0.0498789 | − | 0.144993i | ||||
\(757\) | −14.4608 | + | 23.5979i | −0.525588 | + | 0.857681i | −0.999741 | − | 0.0227611i | \(-0.992754\pi\) |
0.474153 | + | 0.880442i | \(0.342754\pi\) | |||||||
\(758\) | 19.2863 | − | 18.9580i | 0.700511 | − | 0.688587i | ||||
\(759\) | 0.00909723 | − | 0.0574376i | 0.000330209 | − | 0.00208485i | ||||
\(760\) | −33.6278 | + | 27.2551i | −1.21981 | + | 0.988646i | ||||
\(761\) | 14.4672 | − | 19.9124i | 0.524435 | − | 0.721822i | −0.461835 | − | 0.886966i | \(-0.652809\pi\) |
0.986270 | + | 0.165143i | \(0.0528087\pi\) | |||||||
\(762\) | −3.02780 | + | 4.84703i | −0.109686 | + | 0.175589i | ||||
\(763\) | 7.41028 | − | 5.38389i | 0.268270 | − | 0.194910i | ||||
\(764\) | 42.9666 | + | 27.3555i | 1.55448 | + | 0.989688i | ||||
\(765\) | 2.06724 | + | 4.99075i | 0.0747411 | + | 0.180441i | ||||
\(766\) | −20.1165 | − | 1.75707i | −0.726837 | − | 0.0634855i | ||||
\(767\) | −15.9088 | − | 1.25205i | −0.574434 | − | 0.0452089i | ||||
\(768\) | 4.30925 | − | 2.24951i | 0.155497 | − | 0.0811723i | ||||
\(769\) | 40.1606 | + | 13.0490i | 1.44823 | + | 0.470557i | 0.924452 | − | 0.381299i | \(-0.124523\pi\) |
0.523775 | + | 0.851857i | \(0.324523\pi\) | |||||||
\(770\) | −0.0651468 | − | 0.435482i | −0.00234773 | − | 0.0156937i | ||||
\(771\) | 2.77214 | − | 1.41248i | 0.0998362 | − | 0.0508691i | ||||
\(772\) | −36.1042 | + | 21.2809i | −1.29942 | + | 0.765915i | ||||
\(773\) | 5.90112 | − | 24.5799i | 0.212249 | − | 0.884079i | −0.759961 | − | 0.649968i | \(-0.774782\pi\) |
0.972210 | − | 0.234111i | \(-0.0752179\pi\) | |||||||
\(774\) | −7.31631 | − | 14.6690i | −0.262979 | − | 0.527266i | ||||
\(775\) | −7.70042 | + | 2.50202i | −0.276607 | + | 0.0898751i | ||||
\(776\) | −3.21025 | + | 3.56842i | −0.115241 | + | 0.128099i | ||||
\(777\) | 0.241903 | + | 1.52732i | 0.00867822 | + | 0.0547921i | ||||
\(778\) | −33.7129 | − | 24.9388i | −1.20867 | − | 0.894099i | ||||
\(779\) | −44.7551 | − | 18.0170i | −1.60352 | − | 0.645526i | ||||
\(780\) | −5.36550 | + | 1.64207i | −0.192116 | + | 0.0587957i | ||||
\(781\) | 1.07332 | − | 0.169997i | 0.0384064 | − | 0.00608297i | ||||
\(782\) | 0.977236 | + | 1.62587i | 0.0349459 | + | 0.0581409i | ||||
\(783\) | 0.207731 | + | 0.639329i | 0.00742369 | + | 0.0228478i | ||||
\(784\) | 2.75268 | + | 22.3135i | 0.0983101 | + | 0.796910i | ||||
\(785\) | −24.6193 | − | 5.91057i | −0.878701 | − | 0.210957i | ||||
\(786\) | −0.823569 | + | 1.94098i | −0.0293757 | + | 0.0692324i | ||||
\(787\) | 5.27600 | + | 10.3547i | 0.188069 | + | 0.369106i | 0.965718 | − | 0.259592i | \(-0.0835881\pi\) |
−0.777649 | + | 0.628698i | \(0.783588\pi\) | |||||||
\(788\) | −1.22534 | + | 2.30612i | −0.0436510 | + | 0.0821523i | ||||
\(789\) | 0.412328 | − | 1.26902i | 0.0146793 | − | 0.0451782i | ||||
\(790\) | 8.69243 | + | 37.6265i | 0.309263 | + | 1.33869i | ||||
\(791\) | 0.564284 | − | 7.16991i | 0.0200636 | − | 0.254933i | ||||
\(792\) | 1.04990 | − | 0.223633i | 0.0373065 | − | 0.00794644i | ||||
\(793\) | −15.7499 | + | 6.52384i | −0.559297 | + | 0.231668i | ||||
\(794\) | 0.502351 | + | 7.16925i | 0.0178278 | + | 0.254427i | ||||
\(795\) | −1.27642 | − | 1.75684i | −0.0452700 | − | 0.0623088i | ||||
\(796\) | −5.46296 | − | 13.8569i | −0.193629 | − | 0.491146i | ||||
\(797\) | 2.99527 | + | 2.17619i | 0.106098 | + | 0.0770847i | 0.639569 | − | 0.768734i | \(-0.279113\pi\) |
−0.533471 | + | 0.845818i | \(0.679113\pi\) | |||||||
\(798\) | 3.52507 | − | 1.42481i | 0.124786 | − | 0.0504377i | ||||
\(799\) | 6.97274 | + | 1.10437i | 0.246678 | + | 0.0390700i | ||||
\(800\) | −0.982839 | + | 4.84852i | −0.0347486 | + | 0.171421i | ||||
\(801\) | −15.0125 | − | 9.19965i | −0.530440 | − | 0.325054i | ||||
\(802\) | −8.83595 | − | 28.0101i | −0.312008 | − | 0.989071i | ||||
\(803\) | −0.100031 | − | 1.27102i | −0.00353003 | − | 0.0448533i | ||||
\(804\) | −2.57809 | + | 3.42328i | −0.0909223 | + | 0.120730i | ||||
\(805\) | −2.27192 | − | 2.66008i | −0.0800748 | − | 0.0937555i | ||||
\(806\) | 14.3928 | − | 57.7615i | 0.506965 | − | 2.03456i | ||||
\(807\) | −3.33210 | − | 5.43749i | −0.117295 | − | 0.191409i | ||||
\(808\) | −14.7576 | + | 33.1844i | −0.519172 | + | 1.16742i | ||||
\(809\) | 15.0042 | − | 17.5677i | 0.527520 | − | 0.617646i | −0.431111 | − | 0.902299i | \(-0.641878\pi\) |
0.958631 | + | 0.284653i | \(0.0918782\pi\) | |||||||
\(810\) | 19.1218 | − | 13.6436i | 0.671871 | − | 0.479386i | ||||
\(811\) | −15.3741 | − | 15.3741i | −0.539859 | − | 0.539859i | 0.383629 | − | 0.923487i | \(-0.374674\pi\) |
−0.923487 | + | 0.383629i | \(0.874674\pi\) | |||||||
\(812\) | 0.611300 | + | 0.632658i | 0.0214524 | + | 0.0222020i | ||||
\(813\) | −0.171985 | − | 0.716370i | −0.00603179 | − | 0.0251242i | ||||
\(814\) | −0.612726 | + | 0.514287i | −0.0214760 | + | 0.0180258i | ||||
\(815\) | 4.61039 | − | 9.04841i | 0.161495 | − | 0.316952i | ||||
\(816\) | 0.683850 | − | 0.876319i | 0.0239395 | − | 0.0306773i | ||||
\(817\) | 11.4943 | − | 27.7496i | 0.402133 | − | 0.970835i | ||||
\(818\) | −34.4391 | − | 17.9216i | −1.20414 | − | 0.626615i | ||||
\(819\) | −15.5260 | −0.542522 | ||||||||
\(820\) | 24.7951 | − | 7.85985i | 0.865884 | − | 0.274478i | ||||
\(821\) | −25.3798 | −0.885761 | −0.442880 | − | 0.896581i | \(-0.646043\pi\) | ||||
−0.442880 | + | 0.896581i | \(0.646043\pi\) | |||||||
\(822\) | −6.93027 | − | 3.60641i | −0.241721 | − | 0.125788i | ||||
\(823\) | −15.0356 | + | 36.2991i | −0.524108 | + | 1.26531i | 0.411223 | + | 0.911535i | \(0.365102\pi\) |
−0.935331 | + | 0.353774i | \(0.884898\pi\) | |||||||
\(824\) | 0.762185 | − | 29.5909i | 0.0265520 | − | 1.03085i | ||||
\(825\) | 0.0157444 | − | 0.0309000i | 0.000548148 | − | 0.00107580i | ||||
\(826\) | −4.46537 | + | 3.74798i | −0.155370 | + | 0.130409i | ||||
\(827\) | −11.3988 | − | 47.4794i | −0.396375 | − | 1.65102i | −0.712033 | − | 0.702146i | \(-0.752225\pi\) |
0.315658 | − | 0.948873i | \(-0.397775\pi\) | |||||||
\(828\) | 6.13296 | − | 5.92591i | 0.213135 | − | 0.205940i | ||||
\(829\) | −9.69216 | − | 9.69216i | −0.336623 | − | 0.336623i | 0.518472 | − | 0.855095i | \(-0.326501\pi\) |
−0.855095 | + | 0.518472i | \(0.826501\pi\) | |||||||
\(830\) | −37.1382 | + | 26.4984i | −1.28909 | + | 0.919773i | ||||
\(831\) | 5.73990 | − | 6.72056i | 0.199115 | − | 0.233134i | ||||
\(832\) | −26.4046 | − | 25.0141i | −0.915414 | − | 0.867207i | ||||
\(833\) | 2.68619 | + | 4.38347i | 0.0930711 | + | 0.151878i | ||||
\(834\) | 1.17738 | − | 4.72509i | 0.0407694 | − | 0.163617i | ||||
\(835\) | −16.8845 | − | 19.7693i | −0.584314 | − | 0.684143i | ||||
\(836\) | 1.57118 | + | 1.18326i | 0.0543403 | + | 0.0409240i | ||||
\(837\) | −1.30377 | − | 16.5660i | −0.0450650 | − | 0.572606i | ||||
\(838\) | 7.69789 | + | 24.4024i | 0.265919 | + | 0.842969i | ||||
\(839\) | −0.542094 | − | 0.332196i | −0.0187152 | − | 0.0114687i | 0.513110 | − | 0.858323i | \(-0.328493\pi\) |
−0.531825 | + | 0.846854i | \(0.678493\pi\) | |||||||
\(840\) | −0.977348 | + | 1.80189i | −0.0337217 | + | 0.0621711i | ||||
\(841\) | 28.5044 | + | 4.51466i | 0.982911 | + | 0.155678i | ||||
\(842\) | 28.3844 | − | 11.4728i | 0.978192 | − | 0.395378i | ||||
\(843\) | 1.63036 | + | 1.18452i | 0.0561525 | + | 0.0407972i | ||||
\(844\) | 51.5441 | − | 20.3207i | 1.77422 | − | 0.699469i | ||||
\(845\) | 9.15741 | + | 12.6041i | 0.315025 | + | 0.433594i | ||||
\(846\) | −2.21847 | − | 31.6606i | −0.0762724 | − | 1.08851i | ||||
\(847\) | 11.9171 | − | 4.93623i | 0.409477 | − | 0.169611i | ||||
\(848\) | 5.83002 | − | 12.8122i | 0.200204 | − | 0.439972i | ||||
\(849\) | −0.722750 | + | 9.18341i | −0.0248047 | + | 0.315174i | ||||
\(850\) | 0.254633 | + | 1.10222i | 0.00873384 | + | 0.0378058i | ||||
\(851\) | −1.96390 | + | 6.04427i | −0.0673218 | + | 0.207195i | ||||
\(852\) | −4.46748 | − | 2.37376i | −0.153053 | − | 0.0813238i | ||||
\(853\) | −0.573733 | − | 1.12601i | −0.0196442 | − | 0.0385540i | 0.880976 | − | 0.473161i | \(-0.156887\pi\) |
−0.900620 | + | 0.434607i | \(0.856887\pi\) | |||||||
\(854\) | −2.43261 | + | 5.73315i | −0.0832422 | + | 0.196184i | ||||
\(855\) | 43.2695 | + | 10.3881i | 1.47978 | + | 0.355265i | ||||
\(856\) | 6.44989 | − | 6.12597i | 0.220453 | − | 0.209381i | ||||
\(857\) | 10.9780 | + | 33.7868i | 0.375001 | + | 1.15413i | 0.943478 | + | 0.331435i | \(0.107533\pi\) |
−0.568477 | + | 0.822699i | \(0.692467\pi\) | |||||||
\(858\) | 0.131351 | + | 0.218533i | 0.00448423 | + | 0.00746060i | ||||
\(859\) | −15.5005 | + | 2.45504i | −0.528870 | + | 0.0837648i | −0.415159 | − | 0.909749i | \(-0.636274\pi\) |
−0.113711 | + | 0.993514i | \(0.536274\pi\) | |||||||
\(860\) | 4.73896 | + | 15.4846i | 0.161597 | + | 0.528022i | ||||
\(861\) | −2.28464 | + | 0.0228018i | −0.0778604 | + | 0.000777085i | ||||
\(862\) | 22.5145 | + | 16.6549i | 0.766847 | + | 0.567268i | ||||
\(863\) | 2.51213 | + | 15.8609i | 0.0855138 | + | 0.539913i | 0.992837 | + | 0.119479i | \(0.0381223\pi\) |
−0.907323 | + | 0.420434i | \(0.861878\pi\) | |||||||
\(864\) | −9.20502 | − | 4.28437i | −0.313161 | − | 0.145757i | ||||
\(865\) | 35.9463 | − | 11.6797i | 1.22221 | − | 0.397121i | ||||
\(866\) | −1.26337 | − | 2.53303i | −0.0429311 | − | 0.0860758i | ||||
\(867\) | −1.14638 | + | 4.77502i | −0.0389331 | + | 0.162168i | ||||
\(868\) | −11.0427 | − | 18.7345i | −0.374814 | − | 0.635892i | ||||
\(869\) | 1.56352 | − | 0.796652i | 0.0530387 | − | 0.0270246i | ||||
\(870\) | −0.0483580 | − | 0.323255i | −0.00163949 | − | 0.0109594i | ||||
\(871\) | 30.4957 | + | 9.90867i | 1.03331 | + | 0.335742i | ||||
\(872\) | −11.0377 | − | 19.0989i | −0.373783 | − | 0.646771i | ||||
\(873\) | 4.91924 | + | 0.387152i | 0.166491 | + | 0.0131031i | ||||
\(874\) | 15.5670 | + | 1.35970i | 0.526563 | + | 0.0459926i | ||||
\(875\) | −5.36273 | − | 12.9468i | −0.181293 | − | 0.437681i | ||||
\(876\) | −3.18763 | + | 5.00673i | −0.107700 | + | 0.169162i | ||||
\(877\) | −9.05934 | + | 6.58199i | −0.305912 | + | 0.222258i | −0.730140 | − | 0.683297i | \(-0.760545\pi\) |
0.424228 | + | 0.905555i | \(0.360545\pi\) | |||||||
\(878\) | 20.2345 | − | 32.3923i | 0.682882 | − | 1.09319i | ||||
\(879\) | −1.54838 | + | 2.13116i | −0.0522254 | + | 0.0718821i | ||||
\(880\) | −1.05940 | + | 0.0468605i | −0.0357124 | + | 0.00157967i | ||||
\(881\) | −2.54746 | + | 16.0840i | −0.0858261 | + | 0.541885i | 0.906886 | + | 0.421376i | \(0.138453\pi\) |
−0.992712 | + | 0.120509i | \(0.961547\pi\) | |||||||
\(882\) | 16.4828 | − | 16.2023i | 0.555006 | − | 0.545559i | ||||
\(883\) | −1.85331 | + | 3.02432i | −0.0623688 | + | 0.101777i | −0.882305 | − | 0.470679i | \(-0.844009\pi\) |
0.819936 | + | 0.572455i | \(0.194009\pi\) | |||||||
\(884\) | −7.86470 | − | 2.70552i | −0.264519 | − | 0.0909966i | ||||
\(885\) | 2.15929 | − | 0.169940i | 0.0725838 | − | 0.00571247i | ||||
\(886\) | −0.355296 | + | 41.3899i | −0.0119364 | + | 1.39052i | ||||
\(887\) | 2.00151 | − | 1.70945i | 0.0672041 | − | 0.0573977i | −0.615212 | − | 0.788362i | \(-0.710929\pi\) |
0.682416 | + | 0.730964i | \(0.260929\pi\) | |||||||
\(888\) | 3.71888 | − | 0.196495i | 0.124797 | − | 0.00659394i | ||||
\(889\) | 13.3196 | − | 8.16228i | 0.446726 | − | 0.273754i | ||||
\(890\) | 13.1287 | + | 11.4093i | 0.440076 | + | 0.382442i | ||||
\(891\) | −0.811651 | − | 0.693216i | −0.0271913 | − | 0.0232236i | ||||
\(892\) | −34.3598 | − | 0.589940i | −1.15045 | − | 0.0197526i | ||||
\(893\) | 41.1214 | − | 41.1214i | 1.37608 | − | 1.37608i | ||||
\(894\) | 0.753047 | − | 4.50398i | 0.0251857 | − | 0.150636i | ||||
\(895\) | 4.33457 | − | 1.04064i | 0.144889 | − | 0.0347847i | ||||
\(896\) | −13.2852 | + | 0.245172i | −0.443827 | + | 0.00819063i | ||||
\(897\) | 1.80486 | + | 0.919622i | 0.0602625 | + | 0.0307053i | ||||
\(898\) | −22.2956 | − | 7.45646i | −0.744013 | − | 0.248825i | ||||
\(899\) | 3.20357 | + | 1.32696i | 0.106845 | + | 0.0442566i | ||||
\(900\) | 4.57043 | − | 2.23076i | 0.152348 | − | 0.0743587i | ||||
\(901\) | − | 3.21879i | − | 0.107233i | ||||||
\(902\) | −0.618968 | − | 1.00691i | −0.0206094 | − | 0.0335263i | ||||
\(903\) | − | 1.42241i | − | 0.0473348i | ||||||
\(904\) | −17.0319 | − | 3.14914i | −0.566473 | − | 0.104739i | ||||
\(905\) | −10.5288 | − | 4.36119i | −0.349990 | − | 0.144971i | ||||
\(906\) | −2.33553 | + | 6.98347i | −0.0775927 | + | 0.232010i | ||||
\(907\) | 16.4070 | + | 8.35979i | 0.544786 | + | 0.277582i | 0.704648 | − | 0.709557i | \(-0.251105\pi\) |
−0.159862 | + | 0.987139i | \(0.551105\pi\) | |||||||
\(908\) | −48.1825 | + | 2.96078i | −1.59899 | + | 0.0982568i | ||||
\(909\) | 36.3042 | − | 8.71586i | 1.20413 | − | 0.289087i | ||||
\(910\) | 15.1278 | + | 2.52930i | 0.501481 | + | 0.0838455i | ||||
\(911\) | −31.6959 | + | 31.6959i | −1.05013 | + | 1.05013i | −0.0514574 | + | 0.998675i | \(0.516387\pi\) |
−0.998675 | + | 0.0514574i | \(0.983613\pi\) | |||||||
\(912\) | −2.52894 | − | 8.80049i | −0.0837415 | − | 0.291413i | ||||
\(913\) | 1.57638 | + | 1.34636i | 0.0521707 | + | 0.0445579i | ||||
\(914\) | 19.6230 | − | 22.5802i | 0.649073 | − | 0.746888i | ||||
\(915\) | 1.97289 | − | 1.20899i | 0.0652217 | − | 0.0399679i | ||||
\(916\) | −1.61963 | − | 1.96362i | −0.0535140 | − | 0.0648800i | ||||
\(917\) | 4.38251 | − | 3.74302i | 0.144723 | − | 0.123605i | ||||
\(918\) | −2.32163 | − | 0.0199292i | −0.0766253 | − | 0.000657761i | ||||
\(919\) | 24.0266 | − | 1.89093i | 0.792564 | − | 0.0623761i | 0.324288 | − | 0.945958i | \(-0.394875\pi\) |
0.468276 | + | 0.883582i | \(0.344875\pi\) | |||||||
\(920\) | −6.94103 | + | 4.77482i | −0.228839 | + | 0.157421i | ||||
\(921\) | 4.14692 | − | 6.76716i | 0.136646 | − | 0.222986i | ||||
\(922\) | 4.22118 | + | 4.29427i | 0.139017 | + | 0.141424i | ||||
\(923\) | −5.92144 | + | 37.3865i | −0.194906 | + | 1.23059i | ||||
\(924\) | 0.0901862 | + | 0.0232963i | 0.00296691 | + | 0.000766391i | ||||
\(925\) | −2.22771 | + | 3.06618i | −0.0732465 | + | 0.100815i | ||||
\(926\) | −16.4809 | − | 10.2951i | −0.541595 | − | 0.338319i | ||||
\(927\) | −24.6186 | + | 17.8865i | −0.808581 | + | 0.587469i | ||||
\(928\) | 1.66860 | − | 1.30558i | 0.0547746 | − | 0.0428576i | ||||
\(929\) | 5.55638 | + | 13.4143i | 0.182299 | + | 0.440108i | 0.988440 | − | 0.151615i | \(-0.0484475\pi\) |
−0.806141 | + | 0.591724i | \(0.798448\pi\) | |||||||
\(930\) | −0.703039 | + | 8.04900i | −0.0230535 | + | 0.263937i | ||||
\(931\) | 42.2193 | + | 3.32273i | 1.38368 | + | 0.108898i | ||||
\(932\) | 20.0683 | + | 8.71914i | 0.657359 | + | 0.285605i | ||||
\(933\) | −4.33580 | − | 1.40879i | −0.141948 | − | 0.0461216i | ||||
\(934\) | −3.44887 | + | 0.515941i | −0.112851 | + | 0.0168821i | ||||
\(935\) | −0.216058 | + | 0.110087i | −0.00706586 | + | 0.00360024i | ||||
\(936\) | −3.89251 | + | 37.1879i | −0.127231 | + | 1.21553i | ||||
\(937\) | −2.04042 | + | 8.49895i | −0.0666575 | + | 0.277649i | −0.995738 | − | 0.0922296i | \(-0.970601\pi\) |
0.929080 | + | 0.369878i | \(0.120601\pi\) | |||||||
\(938\) | 10.4826 | − | 5.22831i | 0.342270 | − | 0.170710i | ||||
\(939\) | −8.38846 | + | 2.72558i | −0.273747 | + | 0.0889458i | ||||
\(940\) | −2.99618 | + | 31.2099i | −0.0977247 | + | 1.01796i | ||||
\(941\) | −0.700766 | − | 4.42446i | −0.0228443 | − | 0.144233i | 0.973630 | − | 0.228134i | \(-0.0732623\pi\) |
−0.996474 | + | 0.0839002i | \(0.973262\pi\) | |||||||
\(942\) | 3.18521 | − | 4.30585i | 0.103780 | − | 0.140292i | ||||
\(943\) | −8.40874 | − | 4.17929i | −0.273826 | − | 0.136096i | ||||
\(944\) | 7.85766 | + | 11.6351i | 0.255745 | + | 0.378691i | ||||
\(945\) | 4.22885 | − | 0.669784i | 0.137564 | − | 0.0217881i | ||||
\(946\) | 0.630679 | − | 0.379073i | 0.0205051 | − | 0.0123247i | ||||
\(947\) | 6.20996 | + | 19.1123i | 0.201797 | + | 0.621066i | 0.999830 | + | 0.0184527i | \(0.00587402\pi\) |
−0.798033 | + | 0.602614i | \(0.794126\pi\) | |||||||
\(948\) | −8.04541 | − | 1.41625i | −0.261303 | − | 0.0459978i | ||||
\(949\) | 43.1828 | + | 10.3673i | 1.40177 | + | 0.336536i | ||||
\(950\) | 8.57848 | + | 3.63990i | 0.278323 | + | 0.118094i | ||||
\(951\) | −3.41922 | − | 6.71059i | −0.110876 | − | 0.217606i | ||||
\(952\) | −2.74186 | + | 1.30924i | −0.0888643 | + | 0.0424328i | ||||
\(953\) | −15.8667 | + | 48.8327i | −0.513973 | + | 1.58185i | 0.271169 | + | 0.962532i | \(0.412590\pi\) |
−0.785143 | + | 0.619315i | \(0.787410\pi\) | |||||||
\(954\) | −14.0994 | + | 3.25722i | −0.456485 | + | 0.105457i | ||||
\(955\) | −4.05857 | + | 51.5690i | −0.131332 | + | 1.66873i | ||||
\(956\) | −23.6987 | − | 20.9547i | −0.766469 | − | 0.677725i | ||||
\(957\) | −0.0137216 | + | 0.00568366i | −0.000443555 | + | 0.000183727i | ||||
\(958\) | −31.9559 | + | 2.23916i | −1.03245 | + | 0.0723439i | ||||
\(959\) | 12.5521 | + | 17.2765i | 0.405329 | + | 0.557888i | ||||
\(960\) | 4.07087 | + | 2.79270i | 0.131387 | + | 0.0901340i | ||||
\(961\) | −44.2657 | − | 32.1609i | −1.42793 | − | 1.03745i | ||||
\(962\) | −10.4419 | − | 25.8340i | −0.336660 | − | 0.832921i | ||||
\(963\) | −9.03213 | − | 1.43055i | −0.291056 | − | 0.0460988i | ||||
\(964\) | −2.85589 | − | 20.2787i | −0.0919819 | − | 0.653132i | ||||
\(965\) | −36.2896 | − | 22.2383i | −1.16820 | − | 0.715876i | ||||
\(966\) | 0.705731 | − | 0.222627i | 0.0227065 | − | 0.00716291i | ||||
\(967\) | 1.86495 | + | 23.6964i | 0.0599726 | + | 0.762024i | 0.951221 | + | 0.308509i | \(0.0998301\pi\) |
−0.891249 | + | 0.453515i | \(0.850170\pi\) | |||||||
\(968\) | −8.83555 | − | 29.7815i | −0.283985 | − | 0.957213i | ||||
\(969\) | −1.35983 | − | 1.59216i | −0.0436842 | − | 0.0511476i | ||||
\(970\) | −4.73000 | − | 1.17860i | −0.151871 | − | 0.0378427i | ||||
\(971\) | 17.8532 | + | 29.1338i | 0.572937 | + | 0.934948i | 0.999535 | + | 0.0305066i | \(0.00971206\pi\) |
−0.426598 | + | 0.904442i | \(0.640288\pi\) | |||||||
\(972\) | 3.41076 | + | 15.3642i | 0.109400 | + | 0.492807i | ||||
\(973\) | −8.64460 | + | 10.1215i | −0.277133 | + | 0.324481i | ||||
\(974\) | 21.0833 | + | 29.5488i | 0.675552 | + | 0.946803i | ||||
\(975\) | 0.854179 | + | 0.854179i | 0.0273556 | + | 0.0273556i | ||||
\(976\) | 13.1222 | + | 7.26395i | 0.420031 | + | 0.232513i | ||||
\(977\) | 0.974186 | + | 4.05778i | 0.0311670 | + | 0.129820i | 0.985784 | − | 0.168015i | \(-0.0537356\pi\) |
−0.954618 | + | 0.297835i | \(0.903736\pi\) | |||||||
\(978\) | 1.38109 | + | 1.64544i | 0.0441625 | + | 0.0526155i | ||||
\(979\) | 0.358817 | − | 0.704218i | 0.0114678 | − | 0.0225069i | ||||
\(980\) | −18.6995 | + | 13.1015i | −0.597335 | + | 0.418513i | ||||
\(981\) | −8.67820 | + | 20.9510i | −0.277073 | + | 0.668914i | ||||
\(982\) | 26.0197 | − | 50.0009i | 0.830323 | − | 1.59559i | ||||
\(983\) | 34.8359 | 1.11109 | 0.555546 | − | 0.831486i | \(-0.312509\pi\) | ||||
0.555546 | + | 0.831486i | \(0.312509\pi\) | |||||||
\(984\) | −0.518165 | + | 5.47790i | −0.0165185 | + | 0.174629i | ||||
\(985\) | −2.65209 | −0.0845026 | ||||||||
\(986\) | 0.223643 | − | 0.429764i | 0.00712224 | − | 0.0136865i | ||||
\(987\) | 1.05392 | − | 2.54438i | 0.0335465 | − | 0.0809885i | ||||
\(988\) | −56.1109 | + | 39.3131i | −1.78512 | + | 1.25072i | ||||
\(989\) | 2.65399 | − | 5.20876i | 0.0843921 | − | 0.165629i | ||||
\(990\) | 0.700858 | + | 0.835008i | 0.0222747 | + | 0.0265383i | ||||
\(991\) | 1.78348 | + | 7.42875i | 0.0566543 | + | 0.235982i | 0.993512 | − | 0.113729i | \(-0.0362797\pi\) |
−0.936858 | + | 0.349711i | \(0.886280\pi\) | |||||||
\(992\) | −47.6416 | + | 21.7526i | −1.51262 | + | 0.690646i | ||||
\(993\) | 1.03659 | + | 1.03659i | 0.0328952 | + | 0.0328952i | ||||
\(994\) | 8.03179 | + | 11.2568i | 0.254753 | + | 0.357043i | ||||
\(995\) | 9.82401 | − | 11.5024i | 0.311442 | − | 0.364652i | ||||
\(996\) | −2.09153 | − | 9.42157i | −0.0662728 | − | 0.298534i | ||||
\(997\) | −31.0349 | − | 50.6444i | −0.982886 | − | 1.60392i | −0.781016 | − | 0.624512i | \(-0.785298\pi\) |
−0.201870 | − | 0.979412i | \(-0.564702\pi\) | |||||||
\(998\) | −24.7318 | − | 6.16258i | −0.782872 | − | 0.195073i | ||||
\(999\) | −5.05167 | − | 5.91475i | −0.159828 | − | 0.187134i |
(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 | 164.2.o.b.11.13 | ✓ | 288 | |
4.3 | odd | 2 | inner | 164.2.o.b.11.15 | yes | 288 | |
41.15 | odd | 40 | inner | 164.2.o.b.15.15 | yes | 288 | |
164.15 | even | 40 | inner | 164.2.o.b.15.13 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
164.2.o.b.11.13 | ✓ | 288 | 1.1 | even | 1 | trivial | |
164.2.o.b.11.15 | yes | 288 | 4.3 | odd | 2 | inner | |
164.2.o.b.15.13 | yes | 288 | 164.15 | even | 40 | inner | |
164.2.o.b.15.15 | yes | 288 | 41.15 | odd | 40 | inner |