Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(22,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 24]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.ba (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 106.40 | ||
Character | \(\chi\) | \(=\) | 441.106 |
Dual form | 441.2.ba.a.337.40 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{6}{7}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.46084 | − | 0.220186i | 1.03297 | − | 0.155695i | 0.389388 | − | 0.921074i | \(-0.372686\pi\) |
0.643580 | + | 0.765379i | \(0.277448\pi\) | |||||||
\(3\) | 1.61318 | + | 0.630586i | 0.931372 | + | 0.364069i | ||||
\(4\) | 0.174420 | − | 0.0538014i | 0.0872099 | − | 0.0269007i | ||||
\(5\) | −0.764060 | − | 0.520927i | −0.341698 | − | 0.232966i | 0.380296 | − | 0.924865i | \(-0.375822\pi\) |
−0.721994 | + | 0.691899i | \(0.756774\pi\) | |||||||
\(6\) | 2.49545 | + | 0.565984i | 1.01876 | + | 0.231062i | ||||
\(7\) | 1.69903 | + | 2.02813i | 0.642173 | + | 0.766560i | ||||
\(8\) | −2.41912 | + | 1.16499i | −0.855288 | + | 0.411885i | ||||
\(9\) | 2.20472 | + | 2.03450i | 0.734907 | + | 0.678167i | ||||
\(10\) | −1.23087 | − | 0.592755i | −0.389235 | − | 0.187446i | ||||
\(11\) | 2.99886 | − | 0.452005i | 0.904189 | − | 0.136285i | 0.319542 | − | 0.947572i | \(-0.396471\pi\) |
0.584647 | + | 0.811288i | \(0.301233\pi\) | |||||||
\(12\) | 0.315298 | + | 0.0231952i | 0.0910185 | + | 0.00669588i | ||||
\(13\) | 1.91339 | − | 4.87524i | 0.530679 | − | 1.35215i | −0.374543 | − | 0.927210i | \(-0.622200\pi\) |
0.905222 | − | 0.424939i | \(-0.139704\pi\) | |||||||
\(14\) | 2.92857 | + | 2.58866i | 0.782694 | + | 0.691849i | ||||
\(15\) | −0.904080 | − | 1.32216i | −0.233432 | − | 0.341380i | ||||
\(16\) | −3.57905 | + | 2.44016i | −0.894763 | + | 0.610039i | ||||
\(17\) | 0.918942 | + | 4.02615i | 0.222876 | + | 0.976485i | 0.955301 | + | 0.295636i | \(0.0955316\pi\) |
−0.732424 | + | 0.680848i | \(0.761611\pi\) | |||||||
\(18\) | 3.66871 | + | 2.48663i | 0.864723 | + | 0.586104i | ||||
\(19\) | 0.0896998 | 0.0205785 | 0.0102893 | − | 0.999947i | \(-0.496725\pi\) | ||||
0.0102893 | + | 0.999947i | \(0.496725\pi\) | |||||||
\(20\) | −0.161294 | − | 0.0497525i | −0.0360664 | − | 0.0111250i | ||||
\(21\) | 1.46194 | + | 4.34313i | 0.319021 | + | 0.947748i | ||||
\(22\) | 4.28132 | − | 1.32061i | 0.912780 | − | 0.281555i | ||||
\(23\) | −3.67388 | + | 1.13324i | −0.766058 | + | 0.236297i | −0.653069 | − | 0.757299i | \(-0.726519\pi\) |
−0.112989 | + | 0.993596i | \(0.536042\pi\) | |||||||
\(24\) | −4.63711 | + | 0.353874i | −0.946546 | + | 0.0722342i | ||||
\(25\) | −1.51428 | − | 3.85833i | −0.302857 | − | 0.771666i | ||||
\(26\) | 1.72169 | − | 7.54324i | 0.337652 | − | 1.47935i | ||||
\(27\) | 2.27369 | + | 4.67229i | 0.437572 | + | 0.899183i | ||||
\(28\) | 0.405460 | + | 0.262335i | 0.0766248 | + | 0.0495767i | ||||
\(29\) | −1.76461 | − | 0.544310i | −0.327680 | − | 0.101076i | 0.126551 | − | 0.991960i | \(-0.459609\pi\) |
−0.454230 | + | 0.890884i | \(0.650086\pi\) | |||||||
\(30\) | −1.61183 | − | 1.73239i | −0.294279 | − | 0.316290i | ||||
\(31\) | −3.48931 | − | 6.04367i | −0.626699 | − | 1.08547i | −0.988210 | − | 0.153107i | \(-0.951072\pi\) |
0.361511 | − | 0.932368i | \(-0.382261\pi\) | |||||||
\(32\) | −0.754610 | + | 0.700176i | −0.133397 | + | 0.123775i | ||||
\(33\) | 5.12273 | + | 1.16187i | 0.891753 | + | 0.202256i | ||||
\(34\) | 2.22893 | + | 5.67921i | 0.382258 | + | 0.973977i | ||||
\(35\) | −0.241654 | − | 2.43468i | −0.0408469 | − | 0.411536i | ||||
\(36\) | 0.494006 | + | 0.236240i | 0.0823344 | + | 0.0393734i | ||||
\(37\) | −1.83024 | − | 8.01881i | −0.300890 | − | 1.31828i | −0.868787 | − | 0.495185i | \(-0.835100\pi\) |
0.567897 | − | 0.823099i | \(-0.307757\pi\) | |||||||
\(38\) | 0.131037 | − | 0.0197506i | 0.0212570 | − | 0.00320398i | ||||
\(39\) | 6.16091 | − | 6.65810i | 0.986535 | − | 1.06615i | ||||
\(40\) | 2.45523 | + | 0.370066i | 0.388205 | + | 0.0585125i | ||||
\(41\) | −7.22928 | − | 4.92884i | −1.12902 | − | 0.769755i | −0.153174 | − | 0.988199i | \(-0.548950\pi\) |
−0.975850 | + | 0.218444i | \(0.929902\pi\) | |||||||
\(42\) | 3.09195 | + | 6.02270i | 0.477098 | + | 0.929323i | ||||
\(43\) | −9.44672 | + | 6.44066i | −1.44061 | + | 0.982192i | −0.444345 | + | 0.895856i | \(0.646564\pi\) |
−0.996266 | + | 0.0863362i | \(0.972484\pi\) | |||||||
\(44\) | 0.498741 | − | 0.240181i | 0.0751881 | − | 0.0362087i | ||||
\(45\) | −0.624712 | − | 2.70298i | −0.0931266 | − | 0.402937i | ||||
\(46\) | −5.11742 | + | 2.46442i | −0.754523 | + | 0.363359i | ||||
\(47\) | 3.21684 | − | 0.484861i | 0.469225 | − | 0.0707242i | 0.0898258 | − | 0.995957i | \(-0.471369\pi\) |
0.379399 | + | 0.925233i | \(0.376131\pi\) | |||||||
\(48\) | −7.31240 | + | 1.67952i | −1.05545 | + | 0.242418i | ||||
\(49\) | −1.22660 | + | 6.89169i | −0.175228 | + | 0.984528i | ||||
\(50\) | −3.06167 | − | 5.30297i | −0.432986 | − | 0.749953i | ||||
\(51\) | −1.05641 | + | 7.07439i | −0.147927 | + | 0.990613i | ||||
\(52\) | 0.0714386 | − | 0.953282i | 0.00990675 | − | 0.132196i | ||||
\(53\) | 0.412528 | − | 1.80740i | 0.0566651 | − | 0.248266i | −0.938660 | − | 0.344843i | \(-0.887932\pi\) |
0.995326 | + | 0.0965768i | \(0.0307893\pi\) | |||||||
\(54\) | 4.35027 | + | 6.32483i | 0.591997 | + | 0.860700i | ||||
\(55\) | −2.52677 | − | 1.21683i | −0.340709 | − | 0.164077i | ||||
\(56\) | −6.47290 | − | 2.92694i | −0.864977 | − | 0.391128i | ||||
\(57\) | 0.144702 | + | 0.0565635i | 0.0191663 | + | 0.00749201i | ||||
\(58\) | −2.69766 | − | 0.406606i | −0.354220 | − | 0.0533900i | ||||
\(59\) | 0.684526 | + | 9.13436i | 0.0891177 | + | 1.18919i | 0.845103 | + | 0.534604i | \(0.179539\pi\) |
−0.755985 | + | 0.654589i | \(0.772842\pi\) | |||||||
\(60\) | −0.228823 | − | 0.181970i | −0.0295410 | − | 0.0234922i | ||||
\(61\) | 11.2627 | + | 3.47409i | 1.44205 | + | 0.444812i | 0.914455 | − | 0.404687i | \(-0.132619\pi\) |
0.527590 | + | 0.849499i | \(0.323096\pi\) | |||||||
\(62\) | −6.42805 | − | 8.06052i | −0.816363 | − | 1.02369i | ||||
\(63\) | −0.380342 | + | 7.92814i | −0.0479185 | + | 0.998851i | ||||
\(64\) | 4.45340 | − | 5.58439i | 0.556675 | − | 0.698048i | ||||
\(65\) | −4.00159 | + | 2.72824i | −0.496336 | + | 0.338396i | ||||
\(66\) | 7.73931 | + | 0.569351i | 0.952643 | + | 0.0700822i | ||||
\(67\) | −5.46085 | − | 9.45847i | −0.667149 | − | 1.15554i | −0.978698 | − | 0.205306i | \(-0.934181\pi\) |
0.311548 | − | 0.950230i | \(-0.399152\pi\) | |||||||
\(68\) | 0.376894 | + | 0.652800i | 0.0457051 | + | 0.0791636i | ||||
\(69\) | −6.64126 | − | 0.488571i | −0.799513 | − | 0.0588170i | ||||
\(70\) | −0.889099 | − | 3.50347i | −0.106268 | − | 0.418744i | ||||
\(71\) | 0.631281 | − | 2.76582i | 0.0749193 | − | 0.328243i | −0.923555 | − | 0.383467i | \(-0.874730\pi\) |
0.998474 | + | 0.0552238i | \(0.0175872\pi\) | |||||||
\(72\) | −7.70365 | − | 2.35323i | −0.907884 | − | 0.277331i | ||||
\(73\) | 6.80603 | − | 8.53450i | 0.796586 | − | 0.998887i | −0.203219 | − | 0.979133i | \(-0.565140\pi\) |
0.999805 | − | 0.0197540i | \(-0.00628831\pi\) | |||||||
\(74\) | −4.43932 | − | 11.3112i | −0.516060 | − | 1.31490i | ||||
\(75\) | −0.00980686 | − | 7.17908i | −0.00113240 | − | 0.828969i | ||||
\(76\) | 0.0156454 | − | 0.00482597i | 0.00179465 | − | 0.000553577i | ||||
\(77\) | 6.01187 | + | 5.31409i | 0.685116 | + | 0.605597i | ||||
\(78\) | 7.53407 | − | 11.0830i | 0.853066 | − | 1.25490i | ||||
\(79\) | −1.75872 | + | 3.04619i | −0.197871 | + | 0.342723i | −0.947838 | − | 0.318752i | \(-0.896736\pi\) |
0.749967 | + | 0.661476i | \(0.230069\pi\) | |||||||
\(80\) | 4.00576 | 0.447857 | ||||||||
\(81\) | 0.721600 | + | 8.97103i | 0.0801778 | + | 0.996781i | ||||
\(82\) | −11.6461 | − | 5.60845i | −1.28609 | − | 0.619350i | ||||
\(83\) | 4.37789 | + | 11.1547i | 0.480535 | + | 1.22438i | 0.941514 | + | 0.336973i | \(0.109403\pi\) |
−0.460979 | + | 0.887411i | \(0.652502\pi\) | |||||||
\(84\) | 0.488657 | + | 0.678873i | 0.0533168 | + | 0.0740711i | ||||
\(85\) | 1.39520 | − | 3.55492i | 0.151331 | − | 0.385585i | ||||
\(86\) | −12.3820 | + | 11.4888i | −1.33518 | + | 1.23887i | ||||
\(87\) | −2.50340 | − | 1.99081i | −0.268393 | − | 0.213437i | ||||
\(88\) | −6.72801 | + | 4.58708i | −0.717208 | + | 0.488984i | ||||
\(89\) | −0.598480 | + | 0.750470i | −0.0634388 | + | 0.0795497i | −0.812538 | − | 0.582908i | \(-0.801915\pi\) |
0.749100 | + | 0.662457i | \(0.230486\pi\) | |||||||
\(90\) | −1.50776 | − | 3.81107i | −0.158932 | − | 0.401722i | ||||
\(91\) | 13.1385 | − | 4.40258i | 1.37729 | − | 0.461515i | ||||
\(92\) | −0.579828 | + | 0.395320i | −0.0604512 | + | 0.0412150i | ||||
\(93\) | −1.81785 | − | 11.9499i | −0.188502 | − | 1.23914i | ||||
\(94\) | 4.59252 | − | 1.41661i | 0.473683 | − | 0.146112i | ||||
\(95\) | −0.0685360 | − | 0.0467271i | −0.00703165 | − | 0.00479410i | ||||
\(96\) | −1.65884 | + | 0.653665i | −0.169305 | + | 0.0667144i | ||||
\(97\) | 7.64761 | − | 13.2460i | 0.776497 | − | 1.34493i | −0.157453 | − | 0.987527i | \(-0.550328\pi\) |
0.933949 | − | 0.357405i | \(-0.116338\pi\) | |||||||
\(98\) | −0.274408 | + | 10.3377i | −0.0277194 | + | 1.04427i | ||||
\(99\) | 7.53125 | + | 5.10463i | 0.756919 | + | 0.513035i | ||||
\(100\) | −0.471704 | − | 0.591498i | −0.0471704 | − | 0.0591498i | ||||
\(101\) | 0.719601 | − | 9.60241i | 0.0716030 | − | 0.955476i | −0.839517 | − | 0.543334i | \(-0.817162\pi\) |
0.911120 | − | 0.412142i | \(-0.135219\pi\) | |||||||
\(102\) | 0.0144351 | + | 10.5671i | 0.00142928 | + | 1.04630i | ||||
\(103\) | 7.47987 | + | 5.09969i | 0.737014 | + | 0.502487i | 0.872695 | − | 0.488265i | \(-0.162370\pi\) |
−0.135682 | + | 0.990752i | \(0.543322\pi\) | |||||||
\(104\) | 1.05087 | + | 14.0229i | 0.103046 | + | 1.37505i | ||||
\(105\) | 1.14545 | − | 4.07997i | 0.111784 | − | 0.398165i | ||||
\(106\) | 0.204672 | − | 2.73116i | 0.0198795 | − | 0.265274i | ||||
\(107\) | −10.9292 | + | 13.7048i | −1.05656 | + | 1.32489i | −0.113037 | + | 0.993591i | \(0.536058\pi\) |
−0.943526 | + | 0.331297i | \(0.892514\pi\) | |||||||
\(108\) | 0.647953 | + | 0.692612i | 0.0623493 | + | 0.0666467i | ||||
\(109\) | 7.50612 | + | 9.41238i | 0.718956 | + | 0.901543i | 0.998278 | − | 0.0586548i | \(-0.0186811\pi\) |
−0.279322 | + | 0.960197i | \(0.590110\pi\) | |||||||
\(110\) | −3.95913 | − | 1.22123i | −0.377488 | − | 0.116440i | ||||
\(111\) | 2.10404 | − | 14.0899i | 0.199706 | − | 1.33736i | ||||
\(112\) | −11.0299 | − | 3.11288i | −1.04222 | − | 0.294139i | ||||
\(113\) | −6.37167 | − | 0.960374i | −0.599396 | − | 0.0903444i | −0.157666 | − | 0.987492i | \(-0.550397\pi\) |
−0.441730 | + | 0.897148i | \(0.645635\pi\) | |||||||
\(114\) | 0.223841 | + | 0.0507686i | 0.0209646 | + | 0.00475492i | ||||
\(115\) | 3.39741 | + | 1.04796i | 0.316810 | + | 0.0977228i | ||||
\(116\) | −0.337067 | −0.0312959 | ||||||||
\(117\) | 14.1372 | − | 6.85575i | 1.30698 | − | 0.633815i | ||||
\(118\) | 3.01124 | + | 13.1931i | 0.277207 | + | 1.21452i | ||||
\(119\) | −6.60423 | + | 8.70428i | −0.605409 | + | 0.797920i | ||||
\(120\) | 3.72737 | + | 2.14522i | 0.340261 | + | 0.195830i | ||||
\(121\) | −1.72247 | + | 0.531313i | −0.156589 | + | 0.0483012i | ||||
\(122\) | 17.2180 | + | 2.59519i | 1.55884 | + | 0.234958i | ||||
\(123\) | −8.55410 | − | 12.5098i | −0.771297 | − | 1.12797i | ||||
\(124\) | −0.933763 | − | 0.866405i | −0.0838544 | − | 0.0778055i | ||||
\(125\) | −1.88178 | + | 8.24462i | −0.168312 | + | 0.737422i | ||||
\(126\) | 1.19005 | + | 11.6655i | 0.106018 | + | 1.03924i | ||||
\(127\) | 0.188582 | + | 0.826230i | 0.0167339 | + | 0.0733161i | 0.982605 | − | 0.185706i | \(-0.0594571\pi\) |
−0.965872 | + | 0.259022i | \(0.916600\pi\) | |||||||
\(128\) | 6.30550 | − | 10.9214i | 0.557333 | − | 0.965329i | ||||
\(129\) | −19.3007 | + | 4.43300i | −1.69933 | + | 0.390304i | ||||
\(130\) | −5.24496 | + | 4.86661i | −0.460013 | + | 0.426830i | ||||
\(131\) | 0.173829 | + | 2.31958i | 0.0151875 | + | 0.202663i | 0.999636 | + | 0.0269883i | \(0.00859167\pi\) |
−0.984448 | + | 0.175675i | \(0.943789\pi\) | |||||||
\(132\) | 0.956016 | − | 0.0729569i | 0.0832105 | − | 0.00635008i | ||||
\(133\) | 0.152403 | + | 0.181923i | 0.0132150 | + | 0.0157747i | ||||
\(134\) | −10.0600 | − | 12.6149i | −0.869055 | − | 1.08976i | ||||
\(135\) | 0.696687 | − | 4.75434i | 0.0599613 | − | 0.409189i | ||||
\(136\) | −6.91344 | − | 8.66918i | −0.592823 | − | 0.743376i | ||||
\(137\) | −4.55071 | + | 3.10262i | −0.388793 | + | 0.265075i | −0.741903 | − | 0.670507i | \(-0.766077\pi\) |
0.353110 | + | 0.935582i | \(0.385124\pi\) | |||||||
\(138\) | −9.80937 | + | 0.748588i | −0.835029 | + | 0.0637240i | ||||
\(139\) | −6.26707 | − | 4.27281i | −0.531566 | − | 0.362415i | 0.267596 | − | 0.963531i | \(-0.413771\pi\) |
−0.799162 | + | 0.601116i | \(0.794723\pi\) | |||||||
\(140\) | −0.173138 | − | 0.411655i | −0.0146329 | − | 0.0347912i | ||||
\(141\) | 5.49510 | + | 1.24633i | 0.462771 | + | 0.104960i | ||||
\(142\) | 0.313204 | − | 4.17942i | 0.0262835 | − | 0.350729i | ||||
\(143\) | 3.53435 | − | 15.4850i | 0.295557 | − | 1.29492i | ||||
\(144\) | −12.8553 | − | 1.90172i | −1.07128 | − | 0.158477i | ||||
\(145\) | 1.06472 | + | 1.33512i | 0.0884203 | + | 0.110876i | ||||
\(146\) | 8.06334 | − | 13.9661i | 0.667327 | − | 1.15584i | ||||
\(147\) | −6.32454 | + | 10.3441i | −0.521639 | + | 0.853166i | ||||
\(148\) | −0.750654 | − | 1.30017i | −0.0617033 | − | 0.106873i | ||||
\(149\) | −7.04559 | + | 17.9519i | −0.577197 | + | 1.47067i | 0.282195 | + | 0.959357i | \(0.408938\pi\) |
−0.859392 | + | 0.511317i | \(0.829158\pi\) | |||||||
\(150\) | −1.59506 | − | 10.4853i | −0.130236 | − | 0.856122i | ||||
\(151\) | −3.43677 | − | 3.18885i | −0.279680 | − | 0.259505i | 0.527842 | − | 0.849343i | \(-0.323001\pi\) |
−0.807522 | + | 0.589837i | \(0.799192\pi\) | |||||||
\(152\) | −0.216995 | + | 0.104499i | −0.0176006 | + | 0.00847599i | ||||
\(153\) | −6.16520 | + | 10.7461i | −0.498427 | + | 0.868773i | ||||
\(154\) | 9.95245 | + | 6.43930i | 0.801991 | + | 0.518893i | ||||
\(155\) | −0.482267 | + | 6.43540i | −0.0387366 | + | 0.516904i | ||||
\(156\) | 0.716370 | − | 1.49277i | 0.0573555 | − | 0.119517i | ||||
\(157\) | −0.310023 | − | 4.13697i | −0.0247425 | − | 0.330166i | −0.995816 | − | 0.0913841i | \(-0.970871\pi\) |
0.971073 | − | 0.238782i | \(-0.0767481\pi\) | |||||||
\(158\) | −1.89848 | + | 4.83724i | −0.151035 | + | 0.384830i | ||||
\(159\) | 1.80521 | − | 2.65554i | 0.143162 | − | 0.210598i | ||||
\(160\) | 0.941308 | − | 0.141879i | 0.0744169 | − | 0.0112165i | ||||
\(161\) | −8.54040 | − | 5.52569i | −0.673078 | − | 0.435485i | ||||
\(162\) | 3.02943 | + | 12.9463i | 0.238015 | + | 1.01716i | ||||
\(163\) | 16.9273 | + | 8.15175i | 1.32585 | + | 0.638494i | 0.956754 | − | 0.290898i | \(-0.0939541\pi\) |
0.369093 | + | 0.929392i | \(0.379668\pi\) | |||||||
\(164\) | −1.52611 | − | 0.470742i | −0.119169 | − | 0.0367588i | ||||
\(165\) | −3.30883 | − | 3.55631i | −0.257592 | − | 0.276858i | ||||
\(166\) | 8.85148 | + | 15.3312i | 0.687008 | + | 1.18993i | ||||
\(167\) | 10.9721 | − | 10.1806i | 0.849049 | − | 0.787802i | −0.129982 | − | 0.991516i | \(-0.541492\pi\) |
0.979030 | + | 0.203714i | \(0.0653014\pi\) | |||||||
\(168\) | −8.59628 | − | 8.80340i | −0.663218 | − | 0.679197i | ||||
\(169\) | −10.5772 | − | 9.81424i | −0.813634 | − | 0.754942i | ||||
\(170\) | 1.25542 | − | 5.50037i | 0.0962866 | − | 0.421859i | ||||
\(171\) | 0.197763 | + | 0.182494i | 0.0151233 | + | 0.0139557i | ||||
\(172\) | −1.30118 | + | 1.63163i | −0.0992139 | + | 0.124410i | ||||
\(173\) | 9.38127 | + | 8.70454i | 0.713244 | + | 0.661794i | 0.950880 | − | 0.309560i | \(-0.100182\pi\) |
−0.237635 | + | 0.971354i | \(0.576372\pi\) | |||||||
\(174\) | −4.09541 | − | 2.35704i | −0.310473 | − | 0.178686i | ||||
\(175\) | 5.25237 | − | 9.62657i | 0.397042 | − | 0.727700i | ||||
\(176\) | −9.63010 | + | 8.93543i | −0.725896 | + | 0.673533i | ||||
\(177\) | −4.65574 | + | 15.1671i | −0.349947 | + | 1.14003i | ||||
\(178\) | −0.709039 | + | 1.22809i | −0.0531448 | + | 0.0920494i | ||||
\(179\) | −2.72117 | − | 11.9222i | −0.203390 | − | 0.891111i | −0.968854 | − | 0.247632i | \(-0.920348\pi\) |
0.765464 | − | 0.643479i | \(-0.222509\pi\) | |||||||
\(180\) | −0.254386 | − | 0.437843i | −0.0189608 | − | 0.0326349i | ||||
\(181\) | 5.08157 | − | 6.37209i | 0.377710 | − | 0.473634i | −0.556248 | − | 0.831016i | \(-0.687759\pi\) |
0.933958 | + | 0.357383i | \(0.116331\pi\) | |||||||
\(182\) | 18.2239 | − | 9.32437i | 1.35084 | − | 0.691168i | ||||
\(183\) | 15.9781 | + | 12.7065i | 1.18114 | + | 0.939290i | ||||
\(184\) | 7.56735 | − | 7.02147i | 0.557872 | − | 0.517630i | ||||
\(185\) | −2.77880 | + | 7.08028i | −0.204302 | + | 0.520552i | ||||
\(186\) | −5.28677 | − | 17.0565i | −0.387645 | − | 1.25065i | ||||
\(187\) | 4.57561 | + | 11.6585i | 0.334602 | + | 0.852552i | ||||
\(188\) | 0.534995 | − | 0.257640i | 0.0390185 | − | 0.0187903i | ||||
\(189\) | −5.61293 | + | 12.5497i | −0.408281 | + | 0.912856i | ||||
\(190\) | −0.110409 | − | 0.0531700i | −0.00800989 | − | 0.00385736i | ||||
\(191\) | −0.439499 | + | 5.86471i | −0.0318010 | + | 0.424355i | 0.958469 | + | 0.285197i | \(0.0920589\pi\) |
−0.990270 | + | 0.139159i | \(0.955560\pi\) | |||||||
\(192\) | 10.7056 | − | 6.20039i | 0.772609 | − | 0.447474i | ||||
\(193\) | −1.34234 | − | 0.915193i | −0.0966239 | − | 0.0658770i | 0.514044 | − | 0.857764i | \(-0.328147\pi\) |
−0.610668 | + | 0.791887i | \(0.709099\pi\) | |||||||
\(194\) | 8.25532 | − | 21.0342i | 0.592697 | − | 1.51017i | ||||
\(195\) | −8.17569 | + | 1.87780i | −0.585474 | + | 0.134472i | ||||
\(196\) | 0.156840 | + | 1.26804i | 0.0112028 | + | 0.0905743i | ||||
\(197\) | −12.8765 | −0.917415 | −0.458708 | − | 0.888587i | \(-0.651688\pi\) | ||||
−0.458708 | + | 0.888587i | \(0.651688\pi\) | |||||||
\(198\) | 12.1259 | + | 5.79877i | 0.861750 | + | 0.412101i | ||||
\(199\) | −7.17443 | + | 3.45502i | −0.508582 | + | 0.244920i | −0.670534 | − | 0.741878i | \(-0.733935\pi\) |
0.161953 | + | 0.986799i | \(0.448221\pi\) | |||||||
\(200\) | 8.15813 | + | 7.56964i | 0.576867 | + | 0.535254i | ||||
\(201\) | −2.84497 | − | 18.7018i | −0.200669 | − | 1.31912i | ||||
\(202\) | −1.06309 | − | 14.1860i | −0.0747991 | − | 0.998124i | ||||
\(203\) | −1.89419 | − | 4.50365i | −0.132946 | − | 0.316094i | ||||
\(204\) | 0.196353 | + | 1.29075i | 0.0137474 | + | 0.0903706i | ||||
\(205\) | 2.95604 | + | 7.53186i | 0.206459 | + | 0.526048i | ||||
\(206\) | 12.0498 | + | 5.80286i | 0.839547 | + | 0.404304i | ||||
\(207\) | −10.4055 | − | 4.97604i | −0.723231 | − | 0.345859i | ||||
\(208\) | 5.04822 | + | 22.1177i | 0.350031 | + | 1.53359i | ||||
\(209\) | 0.268997 | − | 0.0405447i | 0.0186069 | − | 0.00280454i | ||||
\(210\) | 0.774957 | − | 6.21239i | 0.0534771 | − | 0.428696i | ||||
\(211\) | 0.505999 | + | 0.0762670i | 0.0348344 | + | 0.00525044i | 0.166436 | − | 0.986052i | \(-0.446774\pi\) |
−0.131602 | + | 0.991303i | \(0.542012\pi\) | |||||||
\(212\) | −0.0252878 | − | 0.337442i | −0.00173677 | − | 0.0231756i | ||||
\(213\) | 2.76246 | − | 4.06370i | 0.189281 | − | 0.278440i | ||||
\(214\) | −12.9482 | + | 22.4269i | −0.885118 | + | 1.53307i | ||||
\(215\) | 10.5730 | 0.721071 | ||||||||
\(216\) | −10.9435 | − | 8.65401i | −0.744610 | − | 0.588831i | ||||
\(217\) | 6.32888 | − | 17.3451i | 0.429632 | − | 1.17746i | ||||
\(218\) | 13.0377 | + | 12.0972i | 0.883025 | + | 0.819327i | ||||
\(219\) | 16.3611 | − | 9.47592i | 1.10558 | − | 0.640323i | ||||
\(220\) | −0.506185 | − | 0.0762951i | −0.0341270 | − | 0.00514382i | ||||
\(221\) | 21.3867 | + | 3.22353i | 1.43863 | + | 0.216838i | ||||
\(222\) | −0.0287501 | − | 21.0464i | −0.00192958 | − | 1.41254i | ||||
\(223\) | 17.0263 | + | 15.7981i | 1.14017 | + | 1.05792i | 0.997677 | + | 0.0681231i | \(0.0217011\pi\) |
0.142489 | + | 0.989796i | \(0.454489\pi\) | |||||||
\(224\) | −2.70215 | − | 0.340826i | −0.180545 | − | 0.0227724i | ||||
\(225\) | 4.51121 | − | 11.5874i | 0.300747 | − | 0.772490i | ||||
\(226\) | −9.51943 | −0.633223 | ||||||||
\(227\) | −5.29043 | + | 9.16329i | −0.351138 | + | 0.608189i | −0.986449 | − | 0.164067i | \(-0.947539\pi\) |
0.635311 | + | 0.772256i | \(0.280872\pi\) | |||||||
\(228\) | 0.0282821 | + | 0.00208060i | 0.00187303 | + | 0.000137791i | ||||
\(229\) | 1.16871 | + | 15.5953i | 0.0772303 | + | 1.03057i | 0.892371 | + | 0.451303i | \(0.149041\pi\) |
−0.815140 | + | 0.579264i | \(0.803340\pi\) | |||||||
\(230\) | 5.19380 | + | 0.782840i | 0.342469 | + | 0.0516189i | ||||
\(231\) | 6.34725 | + | 12.3636i | 0.417619 | + | 0.813465i | ||||
\(232\) | 4.90291 | − | 0.738995i | 0.321892 | − | 0.0485174i | ||||
\(233\) | 1.29211 | + | 5.66109i | 0.0846487 | + | 0.370870i | 0.999455 | − | 0.0330237i | \(-0.0105137\pi\) |
−0.914806 | + | 0.403894i | \(0.867657\pi\) | |||||||
\(234\) | 19.1426 | − | 13.1280i | 1.25139 | − | 0.858201i | ||||
\(235\) | −2.71044 | − | 1.30528i | −0.176809 | − | 0.0851469i | ||||
\(236\) | 0.610836 | + | 1.55638i | 0.0397620 | + | 0.101312i | ||||
\(237\) | −4.75802 | + | 3.80504i | −0.309067 | + | 0.247164i | ||||
\(238\) | −7.73115 | + | 14.1697i | −0.501136 | + | 0.918485i | ||||
\(239\) | −1.96207 | − | 26.1820i | −0.126916 | − | 1.69357i | −0.590114 | − | 0.807320i | \(-0.700917\pi\) |
0.463198 | − | 0.886255i | \(-0.346702\pi\) | |||||||
\(240\) | 6.46202 | + | 2.52597i | 0.417122 | + | 0.163051i | ||||
\(241\) | −8.55818 | − | 7.94083i | −0.551281 | − | 0.511514i | 0.354616 | − | 0.935012i | \(-0.384611\pi\) |
−0.905897 | + | 0.423498i | \(0.860802\pi\) | |||||||
\(242\) | −2.39927 | + | 1.15543i | −0.154231 | + | 0.0742736i | ||||
\(243\) | −4.49293 | + | 14.9269i | −0.288222 | + | 0.957564i | ||||
\(244\) | 2.15136 | 0.137726 | ||||||||
\(245\) | 4.52727 | − | 4.62670i | 0.289237 | − | 0.295589i | ||||
\(246\) | −15.2506 | − | 16.3913i | −0.972345 | − | 1.04507i | ||||
\(247\) | 0.171631 | − | 0.437308i | 0.0109206 | − | 0.0278253i | ||||
\(248\) | 15.4819 | + | 10.5553i | 0.983099 | + | 0.670265i | ||||
\(249\) | 0.0283523 | + | 20.7552i | 0.00179675 | + | 1.31531i | ||||
\(250\) | −0.933628 | + | 12.4584i | −0.0590478 | + | 0.787939i | ||||
\(251\) | 10.6325 | + | 5.12036i | 0.671120 | + | 0.323195i | 0.738228 | − | 0.674551i | \(-0.235663\pi\) |
−0.0671077 | + | 0.997746i | \(0.521377\pi\) | |||||||
\(252\) | 0.360206 | + | 1.40329i | 0.0226908 | + | 0.0883987i | ||||
\(253\) | −10.5052 | + | 5.05904i | −0.660457 | + | 0.318059i | ||||
\(254\) | 0.457412 | + | 1.16547i | 0.0287006 | + | 0.0731278i | ||||
\(255\) | 4.49240 | − | 4.85495i | 0.281325 | − | 0.304028i | ||||
\(256\) | 1.58752 | − | 4.04494i | 0.0992202 | − | 0.252809i | ||||
\(257\) | −12.0546 | + | 11.1851i | −0.751947 | + | 0.697705i | −0.959872 | − | 0.280440i | \(-0.909520\pi\) |
0.207925 | + | 0.978145i | \(0.433329\pi\) | |||||||
\(258\) | −27.2191 | + | 10.7256i | −1.69459 | + | 0.667749i | ||||
\(259\) | 13.1535 | − | 17.3362i | 0.817321 | − | 1.07722i | ||||
\(260\) | −0.551174 | + | 0.691150i | −0.0341823 | + | 0.0428633i | ||||
\(261\) | −2.78307 | − | 4.79015i | −0.172268 | − | 0.296503i | ||||
\(262\) | 0.764676 | + | 3.35026i | 0.0472418 | + | 0.206980i | ||||
\(263\) | 1.99930 | − | 3.46290i | 0.123282 | − | 0.213531i | −0.797778 | − | 0.602951i | \(-0.793991\pi\) |
0.921060 | + | 0.389420i | \(0.127325\pi\) | |||||||
\(264\) | −13.7461 | + | 3.15721i | −0.846012 | + | 0.194313i | ||||
\(265\) | −1.25672 | + | 1.16607i | −0.0771999 | + | 0.0716310i | ||||
\(266\) | 0.262692 | + | 0.232203i | 0.0161067 | + | 0.0142372i | ||||
\(267\) | −1.43869 | + | 0.833253i | −0.0880467 | + | 0.0509943i | ||||
\(268\) | −1.46136 | − | 1.35594i | −0.0892667 | − | 0.0828274i | ||||
\(269\) | −9.39657 | + | 11.7829i | −0.572919 | + | 0.718418i | −0.980887 | − | 0.194579i | \(-0.937666\pi\) |
0.407968 | + | 0.912996i | \(0.366238\pi\) | |||||||
\(270\) | −0.0290914 | − | 7.09872i | −0.00177045 | − | 0.432015i | ||||
\(271\) | −0.519041 | + | 2.27407i | −0.0315295 | + | 0.138140i | −0.988243 | − | 0.152892i | \(-0.951141\pi\) |
0.956713 | + | 0.291032i | \(0.0939985\pi\) | |||||||
\(272\) | −13.1134 | − | 12.1674i | −0.795115 | − | 0.737759i | ||||
\(273\) | 23.9710 | + | 1.18280i | 1.45079 | + | 0.0715864i | ||||
\(274\) | −5.96469 | + | 5.53442i | −0.360340 | + | 0.334347i | ||||
\(275\) | −6.28510 | − | 10.8861i | −0.379006 | − | 0.656457i | ||||
\(276\) | −1.18465 | + | 0.272092i | −0.0713077 | + | 0.0163780i | ||||
\(277\) | −4.27722 | − | 1.31935i | −0.256993 | − | 0.0792718i | 0.163582 | − | 0.986530i | \(-0.447695\pi\) |
−0.420575 | + | 0.907258i | \(0.638171\pi\) | |||||||
\(278\) | −10.0960 | − | 4.86197i | −0.605517 | − | 0.291602i | ||||
\(279\) | 4.60289 | − | 20.4236i | 0.275568 | − | 1.22273i | ||||
\(280\) | 3.42096 | + | 5.60826i | 0.204441 | + | 0.335158i | ||||
\(281\) | 26.8214 | − | 4.04268i | 1.60003 | − | 0.241166i | 0.712418 | − | 0.701756i | \(-0.247600\pi\) |
0.887613 | + | 0.460590i | \(0.152362\pi\) | |||||||
\(282\) | 8.30188 | + | 0.610736i | 0.494370 | + | 0.0363688i | ||||
\(283\) | −5.30290 | + | 13.5116i | −0.315224 | + | 0.803179i | 0.682181 | + | 0.731184i | \(0.261032\pi\) |
−0.997405 | + | 0.0719951i | \(0.977063\pi\) | |||||||
\(284\) | −0.0386972 | − | 0.516378i | −0.00229626 | − | 0.0306414i | ||||
\(285\) | −0.0810958 | − | 0.118597i | −0.00480370 | − | 0.00702509i | ||||
\(286\) | 1.75353 | − | 23.3993i | 0.103689 | − | 1.38363i | ||||
\(287\) | −2.28645 | − | 23.0361i | −0.134965 | − | 1.35978i | ||||
\(288\) | −3.08821 | + | 0.00843722i | −0.181975 | + | 0.000497168i | ||||
\(289\) | −0.0489497 | + | 0.0235729i | −0.00287939 | + | 0.00138664i | ||||
\(290\) | 1.84936 | + | 1.71595i | 0.108598 | + | 0.100764i | ||||
\(291\) | 20.6898 | − | 16.5458i | 1.21286 | − | 0.969933i | ||||
\(292\) | 0.727939 | − | 1.85476i | 0.0425994 | − | 0.108542i | ||||
\(293\) | −14.0054 | − | 24.2581i | −0.818204 | − | 1.41717i | −0.907004 | − | 0.421121i | \(-0.861637\pi\) |
0.0888004 | − | 0.996049i | \(-0.471697\pi\) | |||||||
\(294\) | −6.96150 | + | 16.5036i | −0.406003 | + | 0.962510i | ||||
\(295\) | 4.23532 | − | 7.33579i | 0.246590 | − | 0.427106i | ||||
\(296\) | 13.7694 | + | 17.2663i | 0.800329 | + | 1.00358i | ||||
\(297\) | 8.93037 | + | 12.9838i | 0.518193 | + | 0.753397i | ||||
\(298\) | −6.33972 | + | 27.7761i | −0.367250 | + | 1.60903i | ||||
\(299\) | −1.50474 | + | 20.0794i | −0.0870216 | + | 1.16122i | ||||
\(300\) | −0.387955 | − | 1.25165i | −0.0223986 | − | 0.0722638i | ||||
\(301\) | −29.1127 | − | 8.21627i | −1.67803 | − | 0.473578i | ||||
\(302\) | −5.72270 | − | 3.90167i | −0.329304 | − | 0.224516i | ||||
\(303\) | 7.21600 | − | 15.0367i | 0.414548 | − | 0.863835i | ||||
\(304\) | −0.321040 | + | 0.218882i | −0.0184129 | + | 0.0125537i | ||||
\(305\) | −6.79566 | − | 8.52149i | −0.389118 | − | 0.487939i | ||||
\(306\) | −6.64021 | + | 17.0558i | −0.379595 | + | 0.975018i | ||||
\(307\) | 4.70764 | + | 5.90319i | 0.268679 | + | 0.336913i | 0.897807 | − | 0.440389i | \(-0.145159\pi\) |
−0.629128 | + | 0.777302i | \(0.716588\pi\) | |||||||
\(308\) | 1.33449 | + | 0.603436i | 0.0760398 | + | 0.0343839i | ||||
\(309\) | 8.85061 | + | 12.9434i | 0.503494 | + | 0.736327i | ||||
\(310\) | 0.712471 | + | 9.50727i | 0.0404657 | + | 0.539977i | ||||
\(311\) | −1.73069 | + | 1.60584i | −0.0981382 | + | 0.0910589i | −0.727716 | − | 0.685878i | \(-0.759418\pi\) |
0.629578 | + | 0.776937i | \(0.283228\pi\) | |||||||
\(312\) | −7.14738 | + | 23.2841i | −0.404641 | + | 1.31820i | ||||
\(313\) | 2.91585 | − | 5.05040i | 0.164814 | − | 0.285466i | −0.771775 | − | 0.635895i | \(-0.780631\pi\) |
0.936589 | + | 0.350430i | \(0.113964\pi\) | |||||||
\(314\) | −1.36380 | − | 5.97518i | −0.0769634 | − | 0.337199i | ||||
\(315\) | 4.42059 | − | 5.85944i | 0.249072 | − | 0.330142i | ||||
\(316\) | −0.142866 | + | 0.625937i | −0.00803685 | + | 0.0352117i | ||||
\(317\) | 9.35075 | + | 8.67623i | 0.525191 | + | 0.487306i | 0.897629 | − | 0.440751i | \(-0.145288\pi\) |
−0.372439 | + | 0.928057i | \(0.621478\pi\) | |||||||
\(318\) | 2.05240 | − | 4.27680i | 0.115093 | − | 0.239831i | ||||
\(319\) | −5.53784 | − | 0.834695i | −0.310059 | − | 0.0467339i | ||||
\(320\) | −6.31172 | + | 1.94691i | −0.352836 | + | 0.108836i | ||||
\(321\) | −26.2728 | + | 15.2165i | −1.46640 | + | 0.849302i | ||||
\(322\) | −13.6928 | − | 6.19166i | −0.763071 | − | 0.345048i | ||||
\(323\) | 0.0824289 | + | 0.361145i | 0.00458647 | + | 0.0200946i | ||||
\(324\) | 0.608515 | + | 1.52590i | 0.0338064 | + | 0.0847723i | ||||
\(325\) | −21.7077 | −1.20413 | ||||||||
\(326\) | 26.5229 | + | 8.18124i | 1.46897 | + | 0.453117i | ||||
\(327\) | 6.17344 | + | 19.9172i | 0.341392 | + | 1.10142i | ||||
\(328\) | 23.2305 | + | 3.50144i | 1.28269 | + | 0.193335i | ||||
\(329\) | 6.44887 | + | 5.70037i | 0.355538 | + | 0.314272i | ||||
\(330\) | −5.61671 | − | 4.46664i | −0.309190 | − | 0.245880i | ||||
\(331\) | 8.75281 | + | 2.69988i | 0.481098 | + | 0.148399i | 0.525812 | − | 0.850601i | \(-0.323762\pi\) |
−0.0447142 | + | 0.999000i | \(0.514238\pi\) | |||||||
\(332\) | 1.36373 | + | 1.71006i | 0.0748442 | + | 0.0938517i | ||||
\(333\) | 12.2791 | − | 21.4029i | 0.672892 | − | 1.17287i | ||||
\(334\) | 13.7869 | − | 17.2882i | 0.754384 | − | 0.945967i | ||||
\(335\) | −0.754758 | + | 10.0716i | −0.0412369 | + | 0.550268i | ||||
\(336\) | −15.8303 | − | 11.9769i | −0.863611 | − | 0.653394i | ||||
\(337\) | 1.46608 | + | 19.5635i | 0.0798627 | + | 1.06569i | 0.882837 | + | 0.469680i | \(0.155631\pi\) |
−0.802974 | + | 0.596014i | \(0.796750\pi\) | |||||||
\(338\) | −17.6126 | − | 12.0081i | −0.957998 | − | 0.653152i | ||||
\(339\) | −9.67307 | − | 5.56714i | −0.525369 | − | 0.302366i | ||||
\(340\) | 0.0520915 | − | 0.695113i | 0.00282506 | − | 0.0376978i | ||||
\(341\) | −13.1957 | − | 16.5469i | −0.714588 | − | 0.896065i | ||||
\(342\) | 0.329083 | + | 0.223050i | 0.0177947 | + | 0.0120612i | ||||
\(343\) | −16.0613 | + | 9.22149i | −0.867227 | + | 0.497914i | ||||
\(344\) | 15.3495 | − | 26.5860i | 0.827587 | − | 1.43342i | ||||
\(345\) | 4.81981 | + | 3.83291i | 0.259490 | + | 0.206357i | ||||
\(346\) | 15.6211 | + | 10.6503i | 0.839797 | + | 0.572564i | ||||
\(347\) | 17.1314 | − | 5.28434i | 0.919662 | − | 0.283678i | 0.201447 | − | 0.979499i | \(-0.435436\pi\) |
0.718215 | + | 0.695821i | \(0.244959\pi\) | |||||||
\(348\) | −0.543751 | − | 0.212550i | −0.0291481 | − | 0.0113939i | ||||
\(349\) | −0.925924 | + | 0.631284i | −0.0495636 | + | 0.0337919i | −0.587848 | − | 0.808971i | \(-0.700025\pi\) |
0.538285 | + | 0.842763i | \(0.319072\pi\) | |||||||
\(350\) | 5.55323 | − | 15.2194i | 0.296832 | − | 0.813509i | ||||
\(351\) | 27.1290 | − | 2.14488i | 1.44804 | − | 0.114485i | ||||
\(352\) | −1.94648 | + | 2.44081i | −0.103748 | + | 0.130096i | ||||
\(353\) | 21.7358 | − | 14.8193i | 1.15688 | − | 0.788749i | 0.176200 | − | 0.984354i | \(-0.443620\pi\) |
0.980683 | + | 0.195605i | \(0.0626671\pi\) | |||||||
\(354\) | −3.46170 | + | 23.1817i | −0.183987 | + | 1.23210i | ||||
\(355\) | −1.92313 | + | 1.78440i | −0.102069 | + | 0.0947063i | ||||
\(356\) | −0.0640104 | + | 0.163096i | −0.00339255 | + | 0.00864407i | ||||
\(357\) | −16.1426 | + | 9.87706i | −0.854359 | + | 0.522749i | ||||
\(358\) | −6.60031 | − | 16.8173i | −0.348837 | − | 0.888822i | ||||
\(359\) | 32.2043 | + | 15.5088i | 1.69968 | + | 0.818521i | 0.993925 | + | 0.110062i | \(0.0351051\pi\) |
0.705752 | + | 0.708459i | \(0.250609\pi\) | |||||||
\(360\) | 4.66019 | + | 5.81106i | 0.245614 | + | 0.306269i | ||||
\(361\) | −18.9920 | −0.999577 | ||||||||
\(362\) | 6.02031 | − | 10.4275i | 0.316420 | − | 0.548056i | ||||
\(363\) | −3.11370 | − | 0.229063i | −0.163427 | − | 0.0120227i | ||||
\(364\) | 2.05475 | − | 1.47477i | 0.107698 | − | 0.0772988i | ||||
\(365\) | −9.64607 | + | 2.97542i | −0.504899 | + | 0.155741i | ||||
\(366\) | 26.1393 | + | 15.0439i | 1.36632 | + | 0.786359i | ||||
\(367\) | 2.92190 | + | 7.44489i | 0.152522 | + | 0.388620i | 0.986629 | − | 0.162983i | \(-0.0521115\pi\) |
−0.834107 | + | 0.551603i | \(0.814016\pi\) | |||||||
\(368\) | 10.3837 | − | 13.0208i | 0.541289 | − | 0.678755i | ||||
\(369\) | −5.91082 | − | 25.5747i | −0.307705 | − | 1.33137i | ||||
\(370\) | −2.50041 | + | 10.9550i | −0.129990 | + | 0.569523i | ||||
\(371\) | 4.36654 | − | 2.23417i | 0.226700 | − | 0.115993i | ||||
\(372\) | −0.959988 | − | 1.98649i | −0.0497730 | − | 0.102995i | ||||
\(373\) | 1.33710 | + | 2.31593i | 0.0692325 | + | 0.119914i | 0.898564 | − | 0.438843i | \(-0.144612\pi\) |
−0.829331 | + | 0.558757i | \(0.811278\pi\) | |||||||
\(374\) | 9.25126 | + | 16.0237i | 0.478371 | + | 0.828563i | ||||
\(375\) | −8.23461 | + | 12.1135i | −0.425233 | + | 0.625537i | ||||
\(376\) | −7.21707 | + | 4.92051i | −0.372192 | + | 0.253756i | ||||
\(377\) | −6.03003 | + | 7.56141i | −0.310562 | + | 0.389433i | ||||
\(378\) | −5.43632 | + | 19.5690i | −0.279614 | + | 1.00652i | ||||
\(379\) | −12.9053 | − | 16.1828i | −0.662903 | − | 0.831253i | 0.330753 | − | 0.943717i | \(-0.392697\pi\) |
−0.993656 | + | 0.112464i | \(0.964126\pi\) | |||||||
\(380\) | −0.0144680 | − | 0.00446279i | −0.000742194 | − | 0.000228936i | ||||
\(381\) | −0.216793 | + | 1.45178i | −0.0111066 | + | 0.0743769i | ||||
\(382\) | 0.649289 | + | 8.66416i | 0.0332205 | + | 0.443297i | ||||
\(383\) | 2.31025 | + | 0.348214i | 0.118048 | + | 0.0177929i | 0.207801 | − | 0.978171i | \(-0.433369\pi\) |
−0.0897525 | + | 0.995964i | \(0.528608\pi\) | |||||||
\(384\) | 17.0588 | − | 13.6421i | 0.870530 | − | 0.696172i | ||||
\(385\) | −1.82517 | − | 7.19203i | −0.0930194 | − | 0.366540i | ||||
\(386\) | −2.16246 | − | 1.04138i | −0.110066 | − | 0.0530051i | ||||
\(387\) | −33.9309 | − | 5.01950i | −1.72481 | − | 0.255155i | ||||
\(388\) | 0.621238 | − | 2.72182i | 0.0315386 | − | 0.138180i | ||||
\(389\) | −0.243454 | + | 3.24867i | −0.0123436 | + | 0.164714i | 0.987625 | + | 0.156832i | \(0.0501280\pi\) |
−0.999969 | + | 0.00788214i | \(0.997491\pi\) | |||||||
\(390\) | −11.5299 | + | 4.54334i | −0.583839 | + | 0.230061i | ||||
\(391\) | −7.93869 | − | 13.7502i | −0.401477 | − | 0.695378i | ||||
\(392\) | −5.06144 | − | 18.1008i | −0.255641 | − | 0.914229i | ||||
\(393\) | −1.18228 | + | 3.85153i | −0.0596381 | + | 0.194284i | ||||
\(394\) | −18.8105 | + | 2.83523i | −0.947661 | + | 0.142837i | ||||
\(395\) | 2.93061 | − | 1.41131i | 0.147455 | − | 0.0710106i | ||||
\(396\) | 1.58823 | + | 0.485158i | 0.0798118 | + | 0.0243801i | ||||
\(397\) | −26.7043 | + | 12.8601i | −1.34025 | + | 0.645430i | −0.960142 | − | 0.279513i | \(-0.909827\pi\) |
−0.380107 | + | 0.924943i | \(0.624113\pi\) | |||||||
\(398\) | −9.71993 | + | 6.62694i | −0.487216 | + | 0.332178i | ||||
\(399\) | 0.131135 | + | 0.389577i | 0.00656499 | + | 0.0195033i | ||||
\(400\) | 14.8346 | + | 10.1141i | 0.741731 | + | 0.505704i | ||||
\(401\) | −10.6766 | − | 1.60924i | −0.533165 | − | 0.0803617i | −0.123059 | − | 0.992399i | \(-0.539270\pi\) |
−0.410106 | + | 0.912038i | \(0.634508\pi\) | |||||||
\(402\) | −8.27392 | − | 26.6939i | −0.412666 | − | 1.33137i | ||||
\(403\) | −36.1408 | + | 5.44734i | −1.80030 | + | 0.271351i | ||||
\(404\) | −0.391110 | − | 1.71357i | −0.0194585 | − | 0.0852531i | ||||
\(405\) | 4.12191 | − | 7.23030i | 0.204819 | − | 0.359277i | ||||
\(406\) | −3.75875 | − | 6.16203i | −0.186544 | − | 0.305816i | ||||
\(407\) | −9.11317 | − | 23.2200i | −0.451723 | − | 1.15097i | ||||
\(408\) | −5.68598 | − | 18.3445i | −0.281498 | − | 0.908188i | ||||
\(409\) | −9.31343 | + | 8.64160i | −0.460519 | + | 0.427300i | −0.876006 | − | 0.482300i | \(-0.839802\pi\) |
0.415487 | + | 0.909599i | \(0.363611\pi\) | |||||||
\(410\) | 5.97670 | + | 10.3519i | 0.295168 | + | 0.511246i | ||||
\(411\) | −9.29759 | + | 2.13548i | −0.458616 | + | 0.105336i | ||||
\(412\) | 1.57901 | + | 0.487059i | 0.0777921 | + | 0.0239957i | ||||
\(413\) | −17.3626 | + | 16.9079i | −0.854358 | + | 0.831981i | ||||
\(414\) | −16.2964 | − | 4.97805i | −0.800923 | − | 0.244658i | ||||
\(415\) | 2.46581 | − | 10.8034i | 0.121042 | − | 0.530318i | ||||
\(416\) | 1.96966 | + | 5.01861i | 0.0965706 | + | 0.246058i | ||||
\(417\) | −7.41555 | − | 10.8448i | −0.363141 | − | 0.531070i | ||||
\(418\) | 0.384033 | − | 0.118459i | 0.0187837 | − | 0.00579400i | ||||
\(419\) | 18.5742 | − | 5.72937i | 0.907408 | − | 0.279898i | 0.194291 | − | 0.980944i | \(-0.437759\pi\) |
0.713116 | + | 0.701046i | \(0.247283\pi\) | |||||||
\(420\) | −0.0197199 | − | 0.773254i | −0.000962230 | − | 0.0377309i | ||||
\(421\) | −12.2273 | − | 3.77162i | −0.595922 | − | 0.183818i | −0.0179015 | − | 0.999840i | \(-0.505699\pi\) |
−0.578021 | + | 0.816022i | \(0.696175\pi\) | |||||||
\(422\) | 0.755975 | 0.0368003 | ||||||||
\(423\) | 8.07869 | + | 5.47569i | 0.392799 | + | 0.266237i | ||||
\(424\) | 1.10765 | + | 4.85292i | 0.0537921 | + | 0.235678i | ||||
\(425\) | 14.1427 | − | 9.64231i | 0.686020 | − | 0.467721i | ||||
\(426\) | 3.14074 | − | 6.54467i | 0.152169 | − | 0.317090i | ||||
\(427\) | 12.0898 | + | 28.7449i | 0.585067 | + | 1.39106i | ||||
\(428\) | −1.16893 | + | 2.97838i | −0.0565023 | + | 0.143966i | ||||
\(429\) | 15.4662 | − | 22.7514i | 0.746715 | − | 1.09845i | ||||
\(430\) | 15.4454 | − | 2.32802i | 0.744844 | − | 0.112267i | ||||
\(431\) | −19.4272 | − | 9.35567i | −0.935777 | − | 0.450647i | −0.0970996 | − | 0.995275i | \(-0.530957\pi\) |
−0.838678 | + | 0.544628i | \(0.816671\pi\) | |||||||
\(432\) | −19.5388 | − | 11.1742i | −0.940061 | − | 0.537620i | ||||
\(433\) | −2.63832 | + | 1.27055i | −0.126790 | + | 0.0610587i | −0.496203 | − | 0.868206i | \(-0.665273\pi\) |
0.369413 | + | 0.929265i | \(0.379559\pi\) | |||||||
\(434\) | 5.42631 | − | 26.7320i | 0.260471 | − | 1.28318i | ||||
\(435\) | 0.875684 | + | 2.82519i | 0.0419858 | + | 0.135457i | ||||
\(436\) | 1.81562 | + | 1.23787i | 0.0869522 | + | 0.0592830i | ||||
\(437\) | −0.329547 | + | 0.101652i | −0.0157644 | + | 0.00486266i | ||||
\(438\) | 21.8145 | − | 17.4453i | 1.04234 | − | 0.833567i | ||||
\(439\) | 34.6416 | − | 5.22137i | 1.65335 | − | 0.249203i | 0.744895 | − | 0.667182i | \(-0.232500\pi\) |
0.908456 | + | 0.417980i | \(0.137262\pi\) | |||||||
\(440\) | 7.53014 | 0.358985 | ||||||||
\(441\) | −16.7255 | + | 12.6988i | −0.796451 | + | 0.604703i | ||||
\(442\) | 31.9523 | 1.51982 | ||||||||
\(443\) | −20.3955 | + | 3.07413i | −0.969019 | + | 0.146056i | −0.614435 | − | 0.788968i | \(-0.710616\pi\) |
−0.354585 | + | 0.935024i | \(0.615378\pi\) | |||||||
\(444\) | −0.391073 | − | 2.57076i | −0.0185595 | − | 0.122003i | ||||
\(445\) | 0.848215 | − | 0.261640i | 0.0402093 | − | 0.0124029i | ||||
\(446\) | 28.3512 | + | 19.3295i | 1.34247 | + | 0.915279i | ||||
\(447\) | −22.6860 | + | 24.5168i | −1.07301 | + | 1.15961i | ||||
\(448\) | 18.8923 | − | 0.455976i | 0.892577 | − | 0.0215428i | ||||
\(449\) | −28.9903 | + | 13.9610i | −1.36814 | + | 0.658861i | −0.966436 | − | 0.256909i | \(-0.917296\pi\) |
−0.401704 | + | 0.915770i | \(0.631582\pi\) | |||||||
\(450\) | 4.03877 | − | 17.9206i | 0.190389 | − | 0.844783i | ||||
\(451\) | −23.9074 | − | 11.5132i | −1.12576 | − | 0.542136i | ||||
\(452\) | −1.16301 | + | 0.175296i | −0.0547036 | + | 0.00824524i | ||||
\(453\) | −3.53329 | − | 7.31138i | −0.166008 | − | 0.343519i | ||||
\(454\) | −5.71083 | + | 14.5510i | −0.268023 | + | 0.682910i | ||||
\(455\) | −12.3320 | − | 3.48038i | −0.578135 | − | 0.163163i | ||||
\(456\) | −0.415948 | + | 0.0317424i | −0.0194785 | + | 0.00148647i | ||||
\(457\) | −10.5814 | + | 7.21428i | −0.494978 | + | 0.337470i | −0.784944 | − | 0.619567i | \(-0.787308\pi\) |
0.289966 | + | 0.957037i | \(0.406356\pi\) | |||||||
\(458\) | 5.14116 | + | 22.5249i | 0.240231 | + | 1.05252i | ||||
\(459\) | −16.7220 | + | 13.4478i | −0.780514 | + | 0.627689i | ||||
\(460\) | 0.648956 | 0.0302577 | ||||||||
\(461\) | −25.1007 | − | 7.74254i | −1.16906 | − | 0.360606i | −0.351352 | − | 0.936244i | \(-0.614278\pi\) |
−0.817705 | + | 0.575637i | \(0.804754\pi\) | |||||||
\(462\) | 11.9946 | + | 16.6636i | 0.558039 | + | 0.775263i | ||||
\(463\) | 25.7772 | − | 7.95121i | 1.19797 | − | 0.369524i | 0.369324 | − | 0.929301i | \(-0.379589\pi\) |
0.828644 | + | 0.559777i | \(0.189113\pi\) | |||||||
\(464\) | 7.64383 | − | 2.35781i | 0.354856 | − | 0.109459i | ||||
\(465\) | −4.83606 | + | 10.0774i | −0.224267 | + | 0.467327i | ||||
\(466\) | 3.13405 | + | 7.98542i | 0.145182 | + | 0.369918i | ||||
\(467\) | 7.87948 | − | 34.5223i | 0.364619 | − | 1.59750i | −0.376692 | − | 0.926338i | \(-0.622939\pi\) |
0.741311 | − | 0.671161i | \(-0.234204\pi\) | |||||||
\(468\) | 2.09696 | − | 1.95638i | 0.0969318 | − | 0.0904337i | ||||
\(469\) | 9.90484 | − | 27.1455i | 0.457363 | − | 1.25346i | ||||
\(470\) | −4.24691 | − | 1.31000i | −0.195895 | − | 0.0604258i | ||||
\(471\) | 2.10859 | − | 6.86919i | 0.0971588 | − | 0.316515i | ||||
\(472\) | −12.2974 | − | 21.2996i | −0.566032 | − | 0.980396i | ||||
\(473\) | −25.4181 | + | 23.5846i | −1.16873 | + | 1.08442i | ||||
\(474\) | −6.11288 | + | 6.60620i | −0.280774 | + | 0.303433i | ||||
\(475\) | −0.135831 | − | 0.346091i | −0.00623235 | − | 0.0158798i | ||||
\(476\) | −0.683607 | + | 1.87351i | −0.0313331 | + | 0.0858724i | ||||
\(477\) | 4.58668 | − | 3.14554i | 0.210010 | − | 0.144024i | ||||
\(478\) | −8.63118 | − | 37.8157i | −0.394781 | − | 1.72965i | ||||
\(479\) | −26.4937 | + | 3.99328i | −1.21053 | + | 0.182458i | −0.723123 | − | 0.690719i | \(-0.757294\pi\) |
−0.487404 | + | 0.873177i | \(0.662056\pi\) | |||||||
\(480\) | 1.60797 | + | 0.364698i | 0.0733934 | + | 0.0166461i | ||||
\(481\) | −42.5956 | − | 6.42026i | −1.94219 | − | 0.292738i | ||||
\(482\) | −14.2506 | − | 9.71587i | −0.649095 | − | 0.442546i | ||||
\(483\) | −10.2928 | − | 14.2994i | −0.468339 | − | 0.650646i | ||||
\(484\) | −0.271848 | + | 0.185343i | −0.0123567 | + | 0.00842468i | ||||
\(485\) | −12.7435 | + | 6.13692i | −0.578651 | + | 0.278663i | ||||
\(486\) | −3.27674 | + | 22.7951i | −0.148636 | + | 1.03401i | ||||
\(487\) | 30.1365 | − | 14.5130i | 1.36561 | − | 0.657645i | 0.399733 | − | 0.916632i | \(-0.369103\pi\) |
0.965881 | + | 0.258987i | \(0.0833886\pi\) | |||||||
\(488\) | −31.2932 | + | 4.71669i | −1.41658 | + | 0.213514i | ||||
\(489\) | 22.1664 | + | 23.8244i | 1.00240 | + | 1.07738i | ||||
\(490\) | 5.59487 | − | 7.75570i | 0.252750 | − | 0.350367i | ||||
\(491\) | 20.4565 | + | 35.4317i | 0.923188 | + | 1.59901i | 0.794450 | + | 0.607330i | \(0.207759\pi\) |
0.128738 | + | 0.991679i | \(0.458907\pi\) | |||||||
\(492\) | −2.16505 | − | 1.72174i | −0.0976079 | − | 0.0776218i | ||||
\(493\) | 0.569898 | − | 7.60477i | 0.0256669 | − | 0.342501i | ||||
\(494\) | 0.154436 | − | 0.676627i | 0.00694839 | − | 0.0304429i | ||||
\(495\) | −3.09518 | − | 7.82348i | −0.139118 | − | 0.351639i | ||||
\(496\) | 27.2359 | + | 13.1161i | 1.22293 | + | 0.588932i | ||||
\(497\) | 6.68201 | − | 3.41890i | 0.299729 | − | 0.153359i | ||||
\(498\) | 4.61141 | + | 30.3137i | 0.206642 | + | 1.35839i | ||||
\(499\) | −30.3570 | − | 4.57558i | −1.35896 | − | 0.204831i | −0.571202 | − | 0.820810i | \(-0.693523\pi\) |
−0.787763 | + | 0.615979i | \(0.788761\pi\) | |||||||
\(500\) | 0.115352 | + | 1.53927i | 0.00515871 | + | 0.0688382i | ||||
\(501\) | 24.1198 | − | 9.50438i | 1.07759 | − | 0.424624i | ||||
\(502\) | 16.6599 | + | 5.13889i | 0.743566 | + | 0.229360i | ||||
\(503\) | −13.3299 | − | 16.7152i | −0.594352 | − | 0.745294i | 0.390134 | − | 0.920758i | \(-0.372429\pi\) |
−0.984486 | + | 0.175465i | \(0.943857\pi\) | |||||||
\(504\) | −8.31608 | − | 19.6222i | −0.370428 | − | 0.874042i | ||||
\(505\) | −5.55198 | + | 6.96196i | −0.247060 | + | 0.309803i | ||||
\(506\) | −14.2325 | + | 9.70354i | −0.632711 | + | 0.431375i | ||||
\(507\) | −10.8743 | − | 22.5020i | −0.482945 | − | 0.999350i | ||||
\(508\) | 0.0773447 | + | 0.133965i | 0.00343162 | + | 0.00594373i | ||||
\(509\) | −15.7596 | − | 27.2964i | −0.698531 | − | 1.20989i | −0.968976 | − | 0.247156i | \(-0.920504\pi\) |
0.270445 | − | 0.962735i | \(-0.412829\pi\) | |||||||
\(510\) | 5.49368 | − | 8.08145i | 0.243264 | − | 0.357853i | ||||
\(511\) | 28.8727 | − | 0.696858i | 1.27725 | − | 0.0308272i | ||||
\(512\) | −4.18395 | + | 18.3311i | −0.184906 | + | 0.810127i | ||||
\(513\) | 0.203950 | + | 0.419104i | 0.00900460 | + | 0.0185039i | ||||
\(514\) | −15.1471 | + | 18.9938i | −0.668108 | + | 0.837781i | ||||
\(515\) | −3.05850 | − | 7.79294i | −0.134774 | − | 0.343398i | ||||
\(516\) | −3.12792 | + | 1.81161i | −0.137699 | + | 0.0797515i | ||||
\(517\) | 9.42768 | − | 2.90806i | 0.414629 | − | 0.127896i | ||||
\(518\) | 15.3980 | − | 28.2215i | 0.676550 | − | 1.23998i | ||||
\(519\) | 9.64474 | + | 19.9577i | 0.423357 | + | 0.876047i | ||||
\(520\) | 6.50197 | − | 11.2617i | 0.285130 | − | 0.493860i | ||||
\(521\) | 33.6830 | 1.47568 | 0.737839 | − | 0.674977i | \(-0.235846\pi\) | ||||
0.737839 | + | 0.674977i | \(0.235846\pi\) | |||||||
\(522\) | −5.12034 | − | 6.38484i | −0.224111 | − | 0.279457i | ||||
\(523\) | −5.40727 | − | 2.60401i | −0.236444 | − | 0.113865i | 0.311911 | − | 0.950111i | \(-0.399031\pi\) |
−0.548354 | + | 0.836246i | \(0.684745\pi\) | |||||||
\(524\) | 0.155116 | + | 0.395229i | 0.00677628 | + | 0.0172657i | ||||
\(525\) | 14.5434 | − | 12.2174i | 0.634727 | − | 0.533209i | ||||
\(526\) | 2.15818 | − | 5.49895i | 0.0941010 | − | 0.239765i | ||||
\(527\) | 21.1262 | − | 19.6023i | 0.920273 | − | 0.853889i | ||||
\(528\) | −21.1697 | + | 8.34188i | −0.921292 | + | 0.363034i | ||||
\(529\) | −6.79031 | + | 4.62956i | −0.295231 | + | 0.201285i | ||||
\(530\) | −1.57912 | + | 1.98015i | −0.0685924 | + | 0.0860122i | ||||
\(531\) | −17.0747 | + | 21.5314i | −0.740978 | + | 0.934383i | ||||
\(532\) | 0.0363697 | + | 0.0235314i | 0.00157683 | + | 0.00102022i | ||||
\(533\) | −37.8617 | + | 25.8137i | −1.63997 | + | 1.11811i | ||||
\(534\) | −1.91823 | + | 1.53403i | −0.0830099 | + | 0.0663839i | ||||
\(535\) | 15.4897 | − | 4.77795i | 0.669679 | − | 0.206569i | ||||
\(536\) | 24.2294 | + | 16.5194i | 1.04655 | + | 0.713528i | ||||
\(537\) | 3.12825 | − | 20.9487i | 0.134994 | − | 0.904003i | ||||
\(538\) | −11.1324 | + | 19.2819i | −0.479953 | + | 0.831303i | ||||
\(539\) | −0.563314 | + | 21.2216i | −0.0242637 | + | 0.914080i | ||||
\(540\) | −0.134274 | − | 0.866734i | −0.00577823 | − | 0.0372983i | ||||
\(541\) | −8.52410 | − | 10.6889i | −0.366480 | − | 0.459551i | 0.564065 | − | 0.825731i | \(-0.309237\pi\) |
−0.930544 | + | 0.366180i | \(0.880665\pi\) | |||||||
\(542\) | −0.257517 | + | 3.43633i | −0.0110613 | + | 0.147603i | ||||
\(543\) | 12.2157 | − | 7.07498i | 0.524224 | − | 0.303616i | ||||
\(544\) | −3.51245 | − | 2.39475i | −0.150595 | − | 0.102674i | ||||
\(545\) | −0.831963 | − | 11.1018i | −0.0356374 | − | 0.475548i | ||||
\(546\) | 35.2782 | − | 3.55020i | 1.50977 | − | 0.151935i | ||||
\(547\) | 2.54877 | − | 34.0110i | 0.108978 | − | 1.45421i | −0.627960 | − | 0.778246i | \(-0.716110\pi\) |
0.736937 | − | 0.675961i | \(-0.236271\pi\) | |||||||
\(548\) | −0.626808 | + | 0.785992i | −0.0267759 | + | 0.0335759i | ||||
\(549\) | 17.7632 | + | 30.5735i | 0.758113 | + | 1.30484i | ||||
\(550\) | −11.5785 | − | 14.5190i | −0.493708 | − | 0.619090i | ||||
\(551\) | −0.158285 | − | 0.0488245i | −0.00674317 | − | 0.00207999i | ||||
\(552\) | 16.6352 | − | 6.55506i | 0.708040 | − | 0.279002i | ||||
\(553\) | −9.16618 | + | 1.60866i | −0.389786 | + | 0.0684073i | ||||
\(554\) | −6.53882 | − | 0.985568i | −0.277808 | − | 0.0418728i | ||||
\(555\) | −8.94745 | + | 9.66951i | −0.379798 | + | 0.410448i | ||||
\(556\) | −1.32298 | − | 0.408086i | −0.0561070 | − | 0.0173067i | ||||
\(557\) | 36.7478 | 1.55705 | 0.778526 | − | 0.627612i | \(-0.215968\pi\) | ||||
0.778526 | + | 0.627612i | \(0.215968\pi\) | |||||||
\(558\) | 2.22708 | − | 30.8491i | 0.0942799 | − | 1.30595i | ||||
\(559\) | 13.3245 | + | 58.3785i | 0.563567 | + | 2.46915i | ||||
\(560\) | 6.80590 | + | 8.12418i | 0.287602 | + | 0.343309i | ||||
\(561\) | 0.0296328 | + | 21.6926i | 0.00125110 | + | 0.915861i | ||||
\(562\) | 38.2916 | − | 11.8114i | 1.61523 | − | 0.498233i | ||||
\(563\) | −38.4611 | − | 5.79708i | −1.62094 | − | 0.244318i | −0.725085 | − | 0.688659i | \(-0.758200\pi\) |
−0.895857 | + | 0.444342i | \(0.853438\pi\) | |||||||
\(564\) | 1.02551 | − | 0.0782601i | 0.0431817 | − | 0.00329535i | ||||
\(565\) | 4.36805 | + | 4.05296i | 0.183765 | + | 0.170509i | ||||
\(566\) | −4.77162 | + | 20.9058i | −0.200566 | + | 0.878737i | ||||
\(567\) | −16.9684 | + | 16.7055i | −0.712604 | + | 0.701566i | ||||
\(568\) | 1.69500 | + | 7.42629i | 0.0711207 | + | 0.311600i | ||||
\(569\) | −14.1058 | + | 24.4319i | −0.591344 | + | 1.02424i | 0.402707 | + | 0.915329i | \(0.368069\pi\) |
−0.994052 | + | 0.108910i | \(0.965264\pi\) | |||||||
\(570\) | −0.144581 | − | 0.155395i | −0.00605584 | − | 0.00650879i | ||||
\(571\) | 16.0995 | − | 14.9381i | 0.673743 | − | 0.625142i | −0.267227 | − | 0.963634i | \(-0.586107\pi\) |
0.940969 | + | 0.338492i | \(0.109917\pi\) | |||||||
\(572\) | −0.216654 | − | 2.89104i | −0.00905875 | − | 0.120881i | ||||
\(573\) | −4.40720 | + | 9.18371i | −0.184113 | + | 0.383655i | ||||
\(574\) | −8.41236 | − | 33.1486i | −0.351125 | − | 1.38360i | ||||
\(575\) | 9.93572 | + | 12.4590i | 0.414348 | + | 0.519576i | ||||
\(576\) | 21.1800 | − | 3.25157i | 0.882498 | − | 0.135482i | ||||
\(577\) | −7.14019 | − | 8.95352i | −0.297250 | − | 0.372740i | 0.610669 | − | 0.791886i | \(-0.290901\pi\) |
−0.907919 | + | 0.419147i | \(0.862329\pi\) | |||||||
\(578\) | −0.0663171 | + | 0.0452143i | −0.00275843 | + | 0.00188066i | ||||
\(579\) | −1.58834 | − | 2.32284i | −0.0660090 | − | 0.0965338i | ||||
\(580\) | 0.257540 | + | 0.175588i | 0.0106938 | + | 0.00729088i | ||||
\(581\) | −15.1849 | + | 27.8310i | −0.629977 | + | 1.15463i | ||||
\(582\) | 26.5812 | − | 28.7264i | 1.10183 | − | 1.19075i | ||||
\(583\) | 0.420157 | − | 5.60661i | 0.0174011 | − | 0.232202i | ||||
\(584\) | −6.52204 | + | 28.5749i | −0.269884 | + | 1.18244i | ||||
\(585\) | −14.3730 | − | 2.12624i | −0.594251 | − | 0.0879092i | ||||
\(586\) | −25.8009 | − | 32.3533i | −1.06583 | − | 1.33650i | ||||
\(587\) | 2.29229 | − | 3.97036i | 0.0946128 | − | 0.163874i | −0.814834 | − | 0.579694i | \(-0.803172\pi\) |
0.909447 | + | 0.415820i | \(0.136505\pi\) | |||||||
\(588\) | −0.546598 | + | 2.14448i | −0.0225413 | + | 0.0884370i | ||||
\(589\) | −0.312991 | − | 0.542116i | −0.0128966 | − | 0.0223375i | ||||
\(590\) | 4.57188 | − | 11.6490i | 0.188221 | − | 0.479580i | ||||
\(591\) | −20.7722 | − | 8.11977i | −0.854455 | − | 0.334003i | ||||
\(592\) | 26.1177 | + | 24.2337i | 1.07343 | + | 0.995998i | ||||
\(593\) | −4.38765 | + | 2.11298i | −0.180179 | + | 0.0867698i | −0.521799 | − | 0.853069i | \(-0.674739\pi\) |
0.341620 | + | 0.939838i | \(0.389025\pi\) | |||||||
\(594\) | 15.9047 | + | 17.0009i | 0.652577 | + | 0.697555i | ||||
\(595\) | 9.58033 | − | 3.21027i | 0.392755 | − | 0.131608i | ||||
\(596\) | −0.263055 | + | 3.51022i | −0.0107751 | + | 0.143784i | ||||
\(597\) | −13.7524 | + | 1.04949i | −0.562847 | + | 0.0429528i | ||||
\(598\) | 2.22302 | + | 29.6641i | 0.0909059 | + | 1.21305i | ||||
\(599\) | −2.13735 | + | 5.44587i | −0.0873296 | + | 0.222512i | −0.967866 | − | 0.251466i | \(-0.919087\pi\) |
0.880537 | + | 0.473978i | \(0.157183\pi\) | |||||||
\(600\) | 8.38725 | + | 17.3556i | 0.342408 | + | 0.708540i | ||||
\(601\) | −10.0728 | + | 1.51823i | −0.410879 | + | 0.0619300i | −0.351230 | − | 0.936289i | \(-0.614236\pi\) |
−0.0596493 | + | 0.998219i | \(0.518998\pi\) | |||||||
\(602\) | −44.3381 | − | 5.59242i | −1.80709 | − | 0.227930i | ||||
\(603\) | 7.20363 | − | 31.9634i | 0.293354 | − | 1.30165i | ||||
\(604\) | −0.771005 | − | 0.371296i | −0.0313717 | − | 0.0151078i | ||||
\(605\) | 1.59285 | + | 0.491329i | 0.0647585 | + | 0.0199754i | ||||
\(606\) | 7.23054 | − | 23.5550i | 0.293720 | − | 0.956857i | ||||
\(607\) | −5.35178 | − | 9.26956i | −0.217222 | − | 0.376240i | 0.736736 | − | 0.676181i | \(-0.236366\pi\) |
−0.953958 | + | 0.299941i | \(0.903033\pi\) | |||||||
\(608\) | −0.0676883 | + | 0.0628056i | −0.00274512 | + | 0.00254710i | ||||
\(609\) | −0.215742 | − | 8.45966i | −0.00874230 | − | 0.342803i | ||||
\(610\) | −11.8037 | − | 10.9522i | −0.477916 | − | 0.443442i | ||||
\(611\) | 3.79126 | − | 16.6106i | 0.153378 | − | 0.671993i | ||||
\(612\) | −0.497176 | + | 2.20603i | −0.0200971 | + | 0.0891736i | ||||
\(613\) | 16.2156 | − | 20.3337i | 0.654941 | − | 0.821270i | −0.337841 | − | 0.941203i | \(-0.609697\pi\) |
0.992782 | + | 0.119933i | \(0.0382681\pi\) | |||||||
\(614\) | 8.17690 | + | 7.58705i | 0.329993 | + | 0.306189i | ||||
\(615\) | 0.0191440 | + | 14.0143i | 0.000771961 | + | 0.565111i | ||||
\(616\) | −20.7343 | − | 5.85168i | −0.835407 | − | 0.235771i | ||||
\(617\) | −18.3127 | + | 16.9917i | −0.737241 | + | 0.684059i | −0.956541 | − | 0.291598i | \(-0.905813\pi\) |
0.219300 | + | 0.975657i | \(0.429623\pi\) | |||||||
\(618\) | 15.7793 | + | 16.9595i | 0.634735 | + | 0.682211i | ||||
\(619\) | −7.59760 | + | 13.1594i | −0.305373 | + | 0.528922i | −0.977344 | − | 0.211655i | \(-0.932115\pi\) |
0.671971 | + | 0.740577i | \(0.265448\pi\) | |||||||
\(620\) | 0.262117 | + | 1.14841i | 0.0105269 | + | 0.0461212i | ||||
\(621\) | −13.6481 | − | 14.5888i | −0.547680 | − | 0.585429i | ||||
\(622\) | −2.17467 | + | 2.72695i | −0.0871962 | + | 0.109341i | ||||
\(623\) | −2.53888 | + | 0.0612773i | −0.101718 | + | 0.00245502i | ||||
\(624\) | −5.80341 | + | 38.8633i | −0.232322 | + | 1.55578i | ||||
\(625\) | −9.45929 | + | 8.77694i | −0.378372 | + | 0.351078i | ||||
\(626\) | 3.14756 | − | 8.01985i | 0.125802 | − | 0.320538i | ||||
\(627\) | 0.459508 | + | 0.104220i | 0.0183510 | + | 0.00416213i | ||||
\(628\) | −0.276649 | − | 0.704890i | −0.0110395 | − | 0.0281282i | ||||
\(629\) | 30.6031 | − | 14.7377i | 1.22022 | − | 0.587629i | ||||
\(630\) | 5.16759 | − | 9.53305i | 0.205882 | − | 0.379806i | ||||
\(631\) | 2.95825 | + | 1.42462i | 0.117766 | + | 0.0567131i | 0.491839 | − | 0.870686i | \(-0.336325\pi\) |
−0.374073 | + | 0.927399i | \(0.622039\pi\) | |||||||
\(632\) | 0.705780 | − | 9.41798i | 0.0280744 | − | 0.374627i | ||||
\(633\) | 0.768176 | + | 0.442108i | 0.0305322 | + | 0.0175722i | ||||
\(634\) | 15.5703 | + | 10.6157i | 0.618376 | + | 0.421602i | ||||
\(635\) | 0.286318 | − | 0.729527i | 0.0113622 | − | 0.0289504i | ||||
\(636\) | 0.171992 | − | 0.560301i | 0.00681994 | − | 0.0222174i | ||||
\(637\) | 31.2517 | + | 19.1665i | 1.23824 | + | 0.759403i | ||||
\(638\) | −8.27367 | −0.327558 | ||||||||
\(639\) | 7.01888 | − | 4.81353i | 0.277662 | − | 0.190420i | ||||
\(640\) | −10.5071 | + | 5.05993i | −0.415328 | + | 0.200011i | ||||
\(641\) | −20.6202 | − | 19.1327i | −0.814447 | − | 0.755696i | 0.158343 | − | 0.987384i | \(-0.449385\pi\) |
−0.972790 | + | 0.231688i | \(0.925575\pi\) | |||||||
\(642\) | −35.0298 | + | 28.0137i | −1.38252 | + | 1.10561i | ||||
\(643\) | 1.21562 | + | 16.2213i | 0.0479392 | + | 0.639705i | 0.968485 | + | 0.249071i | \(0.0801251\pi\) |
−0.920546 | + | 0.390634i | \(0.872256\pi\) | |||||||
\(644\) | −1.78690 | − | 0.504304i | −0.0704139 | − | 0.0198724i | ||||
\(645\) | 17.0562 | + | 6.66717i | 0.671585 | + | 0.262520i | ||||
\(646\) | 0.199934 | + | 0.509424i | 0.00786631 | + | 0.0200430i | ||||
\(647\) | −0.458873 | − | 0.220981i | −0.0180402 | − | 0.00868768i | 0.424842 | − | 0.905268i | \(-0.360330\pi\) |
−0.442882 | + | 0.896580i | \(0.646044\pi\) | |||||||
\(648\) | −12.1968 | − | 20.8613i | −0.479134 | − | 0.819510i | ||||
\(649\) | 6.18157 | + | 27.0832i | 0.242648 | + | 1.06311i | ||||
\(650\) | −31.7114 | + | 4.77973i | −1.24382 | + | 0.187476i | ||||
\(651\) | 21.1472 | − | 23.9900i | 0.828826 | − | 0.940242i | ||||
\(652\) | 3.39103 | + | 0.511115i | 0.132803 | + | 0.0200168i | ||||
\(653\) | 1.92702 | + | 25.7143i | 0.0754101 | + | 1.00628i | 0.898674 | + | 0.438618i | \(0.144532\pi\) |
−0.823264 | + | 0.567659i | \(0.807849\pi\) | |||||||
\(654\) | 13.4039 | + | 27.7364i | 0.524133 | + | 1.08458i | ||||
\(655\) | 1.07552 | − | 1.86285i | 0.0420240 | − | 0.0727877i | ||||
\(656\) | 37.9011 | 1.47979 | ||||||||
\(657\) | 32.3689 | − | 4.96930i | 1.26283 | − | 0.193871i | ||||
\(658\) | 10.6759 | + | 6.90737i | 0.416190 | + | 0.269277i | ||||
\(659\) | 21.7402 | + | 20.1720i | 0.846879 | + | 0.785789i | 0.978659 | − | 0.205490i | \(-0.0658789\pi\) |
−0.131781 | + | 0.991279i | \(0.542069\pi\) | |||||||
\(660\) | −0.768459 | − | 0.442271i | −0.0299122 | − | 0.0172154i | ||||
\(661\) | −19.2917 | − | 2.90775i | −0.750359 | − | 0.113098i | −0.237282 | − | 0.971441i | \(-0.576256\pi\) |
−0.513077 | + | 0.858343i | \(0.671494\pi\) | |||||||
\(662\) | 13.3809 | + | 2.01685i | 0.520064 | + | 0.0783870i | ||||
\(663\) | 32.4680 | + | 18.6863i | 1.26095 | + | 0.725717i | ||||
\(664\) | −23.5857 | − | 21.8843i | −0.915301 | − | 0.849276i | ||||
\(665\) | −0.0216763 | − | 0.218390i | −0.000840570 | − | 0.00846882i | ||||
\(666\) | 13.2252 | − | 33.9698i | 0.512466 | − | 1.31630i | ||||
\(667\) | 7.09980 | 0.274905 | ||||||||
\(668\) | 1.36602 | − | 2.36602i | 0.0528530 | − | 0.0915441i | ||||
\(669\) | 17.5045 | + | 36.2218i | 0.676763 | + | 1.40042i | ||||
\(670\) | 1.11503 | + | 14.8791i | 0.0430775 | + | 0.574829i | ||||
\(671\) | 35.3456 | + | 5.32750i | 1.36450 | + | 0.205666i | ||||
\(672\) | −4.14414 | − | 2.25375i | −0.159864 | − | 0.0869404i | ||||
\(673\) | 27.1976 | − | 4.09938i | 1.04839 | − | 0.158019i | 0.397819 | − | 0.917464i | \(-0.369767\pi\) |
0.650572 | + | 0.759445i | \(0.274529\pi\) | |||||||
\(674\) | 6.44932 | + | 28.2563i | 0.248419 | + | 1.08839i | ||||
\(675\) | 14.5842 | − | 15.8478i | 0.561347 | − | 0.609983i | ||||
\(676\) | −2.37290 | − | 1.14273i | −0.0912653 | − | 0.0439511i | ||||
\(677\) | 6.77994 | + | 17.2750i | 0.260574 | + | 0.663933i | 0.999956 | − | 0.00935352i | \(-0.00297736\pi\) |
−0.739382 | + | 0.673286i | \(0.764882\pi\) | |||||||
\(678\) | −15.3566 | − | 6.00282i | −0.589766 | − | 0.230537i | ||||
\(679\) | 39.8582 | − | 6.99510i | 1.52962 | − | 0.268447i | ||||
\(680\) | 0.766271 | + | 10.2252i | 0.0293851 | + | 0.392118i | ||||
\(681\) | −14.3127 | + | 11.4460i | −0.548463 | + | 0.438612i | ||||
\(682\) | −22.9202 | − | 21.2668i | −0.877659 | − | 0.814349i | ||||
\(683\) | 38.9315 | − | 18.7484i | 1.48967 | − | 0.717389i | 0.500720 | − | 0.865609i | \(-0.333069\pi\) |
0.988954 | + | 0.148220i | \(0.0473544\pi\) | |||||||
\(684\) | 0.0443123 | + | 0.0211907i | 0.00169432 | + | 0.000810247i | ||||
\(685\) | 5.09325 | 0.194603 | ||||||||
\(686\) | −21.4325 | + | 17.0076i | −0.818295 | + | 0.649352i | ||||
\(687\) | −7.94885 | + | 25.8951i | −0.303267 | + | 0.987958i | ||||
\(688\) | 18.0941 | − | 46.1029i | 0.689830 | − | 1.75766i | ||||
\(689\) | −8.02221 | − | 5.46945i | −0.305622 | − | 0.208369i | ||||
\(690\) | 7.88491 | + | 4.53801i | 0.300173 | + | 0.172759i | ||||
\(691\) | 1.24841 | − | 16.6589i | 0.0474919 | − | 0.633735i | −0.921775 | − | 0.387725i | \(-0.873261\pi\) |
0.969267 | − | 0.246010i | \(-0.0791198\pi\) | |||||||
\(692\) | 2.10459 | + | 1.01352i | 0.0800047 | + | 0.0385282i | ||||
\(693\) | 2.44297 | + | 23.9473i | 0.0928006 | + | 0.909681i | ||||
\(694\) | 23.8627 | − | 11.4917i | 0.905815 | − | 0.436217i | ||||
\(695\) | 2.56259 | + | 6.52937i | 0.0972046 | + | 0.247673i | ||||
\(696\) | 8.37530 | + | 1.89957i | 0.317465 | + | 0.0720032i | ||||
\(697\) | 13.2010 | − | 33.6355i | 0.500022 | − | 1.27403i | ||||
\(698\) | −1.21362 | + | 1.12608i | −0.0459364 | + | 0.0426227i | ||||
\(699\) | −1.48540 | + | 9.94715i | −0.0561829 | + | 0.376236i | ||||
\(700\) | 0.398195 | − | 1.96165i | 0.0150503 | − | 0.0741434i | ||||
\(701\) | 25.2960 | − | 31.7202i | 0.955417 | − | 1.19806i | −0.0247116 | − | 0.999695i | \(-0.507867\pi\) |
0.980129 | − | 0.198361i | \(-0.0635618\pi\) | |||||||
\(702\) | 39.1588 | − | 9.10674i | 1.47795 | − | 0.343712i | ||||
\(703\) | −0.164172 | − | 0.719286i | −0.00619188 | − | 0.0271284i | ||||
\(704\) | 10.8309 | − | 18.7597i | 0.408206 | − | 0.707034i | ||||
\(705\) | −3.54934 | − | 3.81482i | −0.133676 | − | 0.143674i | ||||
\(706\) | 28.4896 | − | 26.4344i | 1.07222 | − | 0.994874i | ||||
\(707\) | 20.6975 | − | 14.8553i | 0.778411 | − | 0.558692i | ||||
\(708\) | 0.00395592 | + | 2.89592i | 0.000148673 | + | 0.108835i | ||||
\(709\) | 0.505985 | + | 0.469485i | 0.0190027 | + | 0.0176319i | 0.689617 | − | 0.724174i | \(-0.257779\pi\) |
−0.670614 | + | 0.741806i | \(0.733969\pi\) | |||||||
\(710\) | −2.41648 | + | 3.03017i | −0.0906889 | + | 0.113720i | ||||
\(711\) | −10.0750 | + | 3.13789i | −0.377841 | + | 0.117680i | ||||
\(712\) | 0.573507 | − | 2.51270i | 0.0214931 | − | 0.0941674i | ||||
\(713\) | 19.6683 | + | 18.2495i | 0.736583 | + | 0.683449i | ||||
\(714\) | −21.4070 | + | 17.9832i | −0.801136 | + | 0.673003i | ||||
\(715\) | −10.7670 | + | 9.99034i | −0.402664 | + | 0.373617i | ||||
\(716\) | −1.11606 | − | 1.93307i | −0.0417091 | − | 0.0722423i | ||||
\(717\) | 13.3448 | − | 43.4737i | 0.498372 | − | 1.62355i | ||||
\(718\) | 50.4600 | + | 15.5649i | 1.88315 | + | 0.580875i | ||||
\(719\) | 13.2438 | + | 6.37790i | 0.493912 | + | 0.237856i | 0.664222 | − | 0.747535i | \(-0.268763\pi\) |
−0.170310 | + | 0.985390i | \(0.554477\pi\) | |||||||
\(720\) | 8.83158 | + | 8.14972i | 0.329134 | + | 0.303722i | ||||
\(721\) | 2.36570 | + | 23.8347i | 0.0881033 | + | 0.887649i | ||||
\(722\) | −27.7442 | + | 4.18176i | −1.03253 | + | 0.155629i | ||||
\(723\) | −8.79853 | − | 18.2067i | −0.327221 | − | 0.677114i | ||||
\(724\) | 0.543499 | − | 1.38481i | 0.0201990 | − | 0.0514662i | ||||
\(725\) | 0.571990 | + | 7.63268i | 0.0212432 | + | 0.283471i | ||||
\(726\) | −4.59905 | + | 0.350970i | −0.170687 | + | 0.0130257i | ||||
\(727\) | −0.436526 | + | 5.82503i | −0.0161899 | + | 0.216039i | 0.983241 | + | 0.182310i | \(0.0583573\pi\) |
−0.999431 | + | 0.0337289i | \(0.989262\pi\) | |||||||
\(728\) | −26.6547 | + | 25.9566i | −0.987889 | + | 0.962014i | ||||
\(729\) | −16.6606 | + | 21.2467i | −0.617061 | + | 0.786915i | ||||
\(730\) | −13.4362 | + | 6.47053i | −0.497296 | + | 0.239485i | ||||
\(731\) | −34.6121 | − | 32.1153i | −1.28017 | − | 1.18783i | ||||
\(732\) | 3.47053 | + | 1.35661i | 0.128275 | + | 0.0501419i | ||||
\(733\) | 8.07108 | − | 20.5648i | 0.298112 | − | 0.759577i | −0.700818 | − | 0.713340i | \(-0.747182\pi\) |
0.998930 | − | 0.0462376i | \(-0.0147231\pi\) | |||||||
\(734\) | 5.90769 | + | 10.2324i | 0.218057 | + | 0.377685i | ||||
\(735\) | 10.2208 | − | 4.60888i | 0.377002 | − | 0.170001i | ||||
\(736\) | 1.97888 | − | 3.42752i | 0.0729425 | − | 0.126340i | ||||
\(737\) | −20.6516 | − | 25.8963i | −0.760711 | − | 0.953901i | ||||
\(738\) | −14.2659 | − | 36.0590i | −0.525136 | − | 1.32735i | ||||
\(739\) | −6.65273 | + | 29.1475i | −0.244725 | + | 1.07221i | 0.691933 | + | 0.721962i | \(0.256760\pi\) |
−0.936657 | + | 0.350247i | \(0.886098\pi\) | |||||||
\(740\) | −0.103750 | + | 1.38444i | −0.00381392 | + | 0.0508932i | ||||
\(741\) | 0.552632 | − | 0.597230i | 0.0203015 | − | 0.0219398i | ||||
\(742\) | 5.88688 | − | 4.22522i | 0.216114 | − | 0.155113i | ||||
\(743\) | −11.0630 | − | 7.54261i | −0.405861 | − | 0.276712i | 0.343134 | − | 0.939286i | \(-0.388511\pi\) |
−0.748996 | + | 0.662575i | \(0.769464\pi\) | |||||||
\(744\) | 18.3190 | + | 26.7904i | 0.671608 | + | 0.982182i | ||||
\(745\) | 14.7349 | − | 10.0461i | 0.539844 | − | 0.368059i | ||||
\(746\) | 2.46322 | + | 3.08878i | 0.0901850 | + | 0.113088i | ||||
\(747\) | −13.0422 | + | 33.4998i | −0.477188 | + | 1.22569i | ||||
\(748\) | 1.42532 | + | 1.78729i | 0.0521148 | + | 0.0653499i | ||||
\(749\) | −46.3640 | + | 1.11902i | −1.69410 | + | 0.0408881i | ||||
\(750\) | −9.36221 | + | 19.5090i | −0.341860 | + | 0.712366i | ||||
\(751\) | 1.95586 | + | 26.0992i | 0.0713704 | + | 0.952372i | 0.911849 | + | 0.410527i | \(0.134655\pi\) |
−0.840478 | + | 0.541845i | \(0.817726\pi\) | |||||||
\(752\) | −10.3301 | + | 9.58494i | −0.376700 | + | 0.349527i | ||||
\(753\) | 13.9234 | + | 14.9648i | 0.507398 | + | 0.545348i | ||||
\(754\) | −7.14398 | + | 12.3737i | −0.260168 | + | 0.450625i | ||||
\(755\) | 0.964735 | + | 4.22678i | 0.0351103 | + | 0.153828i | ||||
\(756\) | −0.303815 | + | 2.49090i | −0.0110497 | + | 0.0905931i | ||||
\(757\) | 4.74204 | − | 20.7762i | 0.172352 | − | 0.755126i | −0.812673 | − | 0.582719i | \(-0.801989\pi\) |
0.985026 | − | 0.172406i | \(-0.0551542\pi\) | |||||||
\(758\) | −22.4158 | − | 20.7988i | −0.814179 | − | 0.755448i | ||||
\(759\) | −20.1370 | + | 1.53672i | −0.730927 | + | 0.0557796i | ||||
\(760\) | 0.220233 | + | 0.0331948i | 0.00798870 | + | 0.00120410i | ||||
\(761\) | 9.28874 | − | 2.86520i | 0.336717 | − | 0.103863i | −0.121786 | − | 0.992556i | \(-0.538862\pi\) |
0.458503 | + | 0.888693i | \(0.348386\pi\) | |||||||
\(762\) | 0.00296231 | + | 2.16855i | 0.000107313 | + | 0.0785582i | ||||
\(763\) | −6.33638 | + | 31.2153i | −0.229392 | + | 1.13007i | ||||
\(764\) | 0.238872 | + | 1.04657i | 0.00864209 | + | 0.0378635i | ||||
\(765\) | 10.3085 | − | 4.99907i | 0.372706 | − | 0.180742i | ||||
\(766\) | 3.45157 | 0.124710 | ||||||||
\(767\) | 45.8420 | + | 14.1404i | 1.65526 | + | 0.510579i | ||||
\(768\) | 5.11165 | − | 5.52417i | 0.184451 | − | 0.199336i | ||||
\(769\) | 51.2010 | + | 7.71730i | 1.84635 | + | 0.278293i | 0.976580 | − | 0.215156i | \(-0.0690260\pi\) |
0.869775 | + | 0.493449i | \(0.164264\pi\) | |||||||
\(770\) | −4.24986 | − | 10.1045i | −0.153154 | − | 0.364141i | ||||
\(771\) | −26.4995 | + | 10.4421i | −0.954355 | + | 0.376062i | ||||
\(772\) | −0.283370 | − | 0.0874079i | −0.0101987 | − | 0.00314588i | ||||
\(773\) | 0.965360 | + | 1.21052i | 0.0347216 | + | 0.0435395i | 0.798889 | − | 0.601478i | \(-0.205421\pi\) |
−0.764168 | + | 0.645018i | \(0.776850\pi\) | |||||||
\(774\) | −50.6728 | + | 0.138442i | −1.82140 | + | 0.00497619i | ||||
\(775\) | −18.0347 | + | 22.6147i | −0.647824 | + | 0.812345i | ||||
\(776\) | −3.06901 | + | 40.9531i | −0.110171 | + | 1.47013i | ||||
\(777\) | 32.1510 | − | 19.6720i | 1.15341 | − | 0.705728i | ||||
\(778\) | 0.359664 | + | 4.79938i | 0.0128946 | + | 0.172066i | ||||
\(779\) | −0.648465 | − | 0.442116i | −0.0232337 | − | 0.0158404i | ||||
\(780\) | −1.32497 | + | 0.767389i | −0.0474417 | + | 0.0274769i | ||||
\(781\) | 0.642956 | − | 8.57965i | 0.0230068 | − | 0.307004i | ||||
\(782\) | −14.6247 | − | 18.3388i | −0.522980 | − | 0.655796i | ||||
\(783\) | −1.46900 | − | 9.48236i | −0.0524979 | − | 0.338872i | ||||
\(784\) | −12.4268 | − | 27.6588i | −0.443813 | − | 0.987815i | ||||
\(785\) | −1.91818 | + | 3.32239i | −0.0684629 | + | 0.118581i | ||||
\(786\) | −0.879067 | + | 5.88678i | −0.0313553 | + | 0.209975i | ||||
\(787\) | 25.5123 | + | 17.3940i | 0.909414 | + | 0.620028i | 0.925048 | − | 0.379850i | \(-0.124024\pi\) |
−0.0156343 | + | 0.999878i | \(0.504977\pi\) | |||||||
\(788\) | −2.24592 | + | 0.692776i | −0.0800077 | + | 0.0246791i | ||||
\(789\) | 5.40890 | − | 4.32555i | 0.192562 | − | 0.153994i | ||||
\(790\) | 3.97040 | − | 2.70697i | 0.141260 | − | 0.0963097i | ||||
\(791\) | −8.87789 | − | 14.5543i | −0.315661 | − | 0.517490i | ||||
\(792\) | −24.1658 | − | 3.57492i | −0.858695 | − | 0.127029i | ||||
\(793\) | 38.4871 | − | 48.2613i | 1.36672 | − | 1.71381i | ||||
\(794\) | −36.1790 | + | 24.6664i | −1.28394 | + | 0.875379i | ||||
\(795\) | −2.76263 | + | 1.08861i | −0.0979804 | + | 0.0386090i | ||||
\(796\) | −1.06548 | + | 0.988619i | −0.0377649 | + | 0.0350407i | ||||
\(797\) | 19.5795 | − | 49.8876i | 0.693540 | − | 1.76711i | 0.0537577 | − | 0.998554i | \(-0.482880\pi\) |
0.639782 | − | 0.768556i | \(-0.279025\pi\) | |||||||
\(798\) | 0.277347 | + | 0.540235i | 0.00981798 | + | 0.0191241i | ||||
\(799\) | 4.90821 | + | 12.5059i | 0.173640 | + | 0.442428i | ||||
\(800\) | 3.84420 | + | 1.85127i | 0.135913 | + | 0.0654522i | ||||
\(801\) | −2.84632 | + | 0.436969i | −0.100570 | + | 0.0154396i | ||||
\(802\) | −15.9511 | −0.563254 | ||||||||
\(803\) | 16.5527 | − | 28.6701i | 0.584131 | − | 1.01175i | ||||
\(804\) | −1.50240 | − | 3.10890i | −0.0529856 | − | 0.109642i | ||||
\(805\) | 3.64689 | + | 8.67089i | 0.128536 | + | 0.305609i | ||||
\(806\) | −51.5964 | + | 15.9154i | −1.81740 | + | 0.560595i | ||||
\(807\) | −22.5885 | + | 13.0827i | −0.795154 | + | 0.460532i | ||||
\(808\) | 9.44588 | + | 24.0677i | 0.332305 | + | 0.846699i | ||||
\(809\) | −21.6572 | + | 27.1572i | −0.761425 | + | 0.954797i | −0.999866 | − | 0.0163600i | \(-0.994792\pi\) |
0.238441 | + | 0.971157i | \(0.423364\pi\) | |||||||
\(810\) | 4.42943 | − | 11.4699i | 0.155634 | − | 0.403011i | ||||
\(811\) | 0.622222 | − | 2.72613i | 0.0218492 | − | 0.0957275i | −0.962828 | − | 0.270116i | \(-0.912938\pi\) |
0.984677 | + | 0.174389i | \(0.0557950\pi\) | |||||||
\(812\) | −0.572687 | − | 0.683615i | −0.0200974 | − | 0.0239902i | ||||
\(813\) | −2.27130 | + | 3.34119i | −0.0796581 | + | 0.117181i | ||||
\(814\) | −18.4256 | − | 31.9140i | −0.645816 | − | 1.11859i | ||||
\(815\) | −8.68699 | − | 15.0463i | −0.304292 | − | 0.527049i | ||||
\(816\) | −13.4817 | − | 27.8974i | −0.471953 | − | 0.976605i | ||||
\(817\) | −0.847369 | + | 0.577726i | −0.0296457 | + | 0.0202121i | ||||
\(818\) | −11.7027 | + | 14.6747i | −0.409174 | + | 0.513088i | ||||
\(819\) | 37.9238 | + | 17.0239i | 1.32517 | + | 0.594863i | ||||
\(820\) | 0.920816 | + | 1.15467i | 0.0321563 | + | 0.0403227i | ||||
\(821\) | 10.8593 | + | 3.34964i | 0.378990 | + | 0.116903i | 0.478397 | − | 0.878144i | \(-0.341218\pi\) |
−0.0994062 | + | 0.995047i | \(0.531694\pi\) | |||||||
\(822\) | −13.1121 | + | 5.16679i | −0.457336 | + | 0.180213i | ||||
\(823\) | −1.19840 | − | 15.9915i | −0.0417736 | − | 0.557429i | −0.978349 | − | 0.206963i | \(-0.933642\pi\) |
0.936575 | − | 0.350467i | \(-0.113977\pi\) | |||||||
\(824\) | −24.0358 | − | 3.62281i | −0.837326 | − | 0.126207i | ||||
\(825\) | −3.27439 | − | 21.5246i | −0.114000 | − | 0.749390i | ||||
\(826\) | −21.6411 | + | 28.5226i | −0.752990 | + | 0.992429i | ||||
\(827\) | 13.8832 | + | 6.68582i | 0.482768 | + | 0.232489i | 0.659406 | − | 0.751787i | \(-0.270808\pi\) |
−0.176638 | + | 0.984276i | \(0.556522\pi\) | |||||||
\(828\) | −2.08264 | − | 0.308090i | −0.0723767 | − | 0.0107069i | ||||
\(829\) | −0.0341785 | + | 0.149746i | −0.00118707 | + | 0.00520089i | −0.975518 | − | 0.219920i | \(-0.929420\pi\) |
0.974331 | + | 0.225121i | \(0.0722776\pi\) | |||||||
\(830\) | 1.22339 | − | 16.3250i | 0.0424643 | − | 0.566647i | ||||
\(831\) | −6.06797 | − | 4.82550i | −0.210496 | − | 0.167395i | ||||
\(832\) | −18.7041 | − | 32.3965i | −0.648449 | − | 1.12315i | ||||
\(833\) | −28.8742 | + | 1.39460i | −1.00043 | + | 0.0483200i | ||||
\(834\) | −13.2208 | − | 14.2096i | −0.457798 | − | 0.492039i | ||||
\(835\) | −13.6867 | + | 2.06294i | −0.473649 | + | 0.0713911i | ||||
\(836\) | 0.0447370 | − | 0.0215442i | 0.00154726 | − | 0.000745122i | ||||
\(837\) | 20.3042 | − | 30.0445i | 0.701814 | − | 1.03849i | ||||
\(838\) | 25.8723 | − | 12.4595i | 0.893745 | − | 0.430405i | ||||
\(839\) | 20.9553 | − | 14.2871i | 0.723458 | − | 0.493245i | −0.144736 | − | 0.989470i | \(-0.546233\pi\) |
0.868194 | + | 0.496225i | \(0.165281\pi\) | |||||||
\(840\) | 1.98214 | + | 11.2044i | 0.0683905 | + | 0.386587i | ||||
\(841\) | −21.1434 | − | 14.4153i | −0.729081 | − | 0.497079i | ||||
\(842\) | −18.6926 | − | 2.81745i | −0.644188 | − | 0.0970957i | ||||
\(843\) | 45.8171 | + | 10.3916i | 1.57802 | + | 0.357907i | ||||
\(844\) | 0.0923594 | − | 0.0139209i | 0.00317914 | − | 0.000479179i | ||||
\(845\) | 2.96914 | + | 13.0086i | 0.102141 | + | 0.447511i | ||||
\(846\) | 13.0073 | + | 6.22028i | 0.447201 | + | 0.213858i | ||||
\(847\) | −4.00410 | − | 2.59068i | −0.137583 | − | 0.0890168i | ||||
\(848\) | 2.93389 | + | 7.47543i | 0.100750 | + | 0.256707i | ||||
\(849\) | −17.0747 | + | 18.4527i | −0.586004 | + | 0.633295i | ||||
\(850\) | 18.5370 | − | 17.1999i | 0.635815 | − | 0.589951i | ||||
\(851\) | 15.8114 | + | 27.3861i | 0.542006 | + | 0.938783i | ||||
\(852\) | 0.263195 | − | 0.857415i | 0.00901692 | − | 0.0293745i | ||||
\(853\) | −42.7631 | − | 13.1907i | −1.46418 | − | 0.451640i | −0.542654 | − | 0.839956i | \(-0.682581\pi\) |
−0.921526 | + | 0.388316i | \(0.873057\pi\) | |||||||
\(854\) | 23.9905 | + | 39.3296i | 0.820937 | + | 1.34583i | ||||
\(855\) | −0.0560366 | − | 0.242457i | −0.00191641 | − | 0.00829185i | ||||
\(856\) | 10.4731 | − | 45.8858i | 0.357964 | − | 1.56834i | ||||
\(857\) | −3.19714 | − | 8.14617i | −0.109212 | − | 0.278268i | 0.865811 | − | 0.500371i | \(-0.166803\pi\) |
−0.975023 | + | 0.222103i | \(0.928708\pi\) | |||||||
\(858\) | 17.5840 | − | 36.6416i | 0.600309 | − | 1.25092i | ||||
\(859\) | −7.02703 | + | 2.16755i | −0.239759 | + | 0.0739559i | −0.412306 | − | 0.911045i | \(-0.635277\pi\) |
0.172547 | + | 0.985001i | \(0.444800\pi\) | |||||||
\(860\) | 1.84414 | − | 0.568841i | 0.0628845 | − | 0.0193973i | ||||
\(861\) | 10.8378 | − | 38.6033i | 0.369352 | − | 1.31560i | ||||
\(862\) | −30.4400 | − | 9.38951i | −1.03679 | − | 0.319808i | ||||
\(863\) | 19.8120 | 0.674409 | 0.337205 | − | 0.941431i | \(-0.390519\pi\) | ||||
0.337205 | + | 0.941431i | \(0.390519\pi\) | |||||||
\(864\) | −4.98718 | − | 1.93377i | −0.169667 | − | 0.0657883i | ||||
\(865\) | −2.63342 | − | 11.5378i | −0.0895389 | − | 0.392295i | ||||
\(866\) | −3.57441 | + | 2.43699i | −0.121463 | + | 0.0828123i | ||||
\(867\) | −0.0938296 | + | 0.00716046i | −0.00318662 | + | 0.000243182i | ||||
\(868\) | 0.170690 | − | 3.36584i | 0.00579358 | − | 0.114244i | ||||
\(869\) | −3.89725 | + | 9.93004i | −0.132205 | + | 0.336853i | ||||
\(870\) | 1.90130 | + | 3.93433i | 0.0644601 | + | 0.133386i | ||||
\(871\) | −56.5611 | + | 8.52521i | −1.91650 | + | 0.288866i | ||||
\(872\) | −29.1235 | − | 14.0251i | −0.986246 | − | 0.474951i | ||||
\(873\) | 43.8099 | − | 13.6448i | 1.48274 | − | 0.461805i | ||||
\(874\) | −0.459032 | + | 0.221058i | −0.0155270 | + | 0.00747740i | ||||
\(875\) | −19.9183 | + | 10.1914i | −0.673363 | + | 0.344531i | ||||
\(876\) | 2.34389 | − | 2.53304i | 0.0791925 | − | 0.0855834i | ||||
\(877\) | −32.1124 | − | 21.8939i | −1.08436 | − | 0.739303i | −0.117106 | − | 0.993119i | \(-0.537362\pi\) |
−0.967252 | + | 0.253816i | \(0.918314\pi\) | |||||||
\(878\) | 49.4560 | − | 15.2552i | 1.66906 | − | 0.514837i | ||||
\(879\) | −7.29648 | − | 47.9643i | −0.246104 | − | 1.61780i | ||||
\(880\) | 12.0127 | − | 1.81062i | 0.404947 | − | 0.0610360i | ||||
\(881\) | 36.5088 | 1.23001 | 0.615006 | − | 0.788523i | \(-0.289154\pi\) | ||||
0.615006 | + | 0.788523i | \(0.289154\pi\) | |||||||
\(882\) | −21.6371 | + | 22.2335i | −0.728560 | + | 0.748642i | ||||
\(883\) | −51.6662 | −1.73871 | −0.869353 | − | 0.494192i | \(-0.835464\pi\) | ||||
−0.869353 | + | 0.494192i | \(0.835464\pi\) | |||||||
\(884\) | 3.90370 | − | 0.588388i | 0.131296 | − | 0.0197896i | ||||
\(885\) | 11.4582 | − | 9.16324i | 0.385163 | − | 0.308019i | ||||
\(886\) | −29.1176 | + | 8.98160i | −0.978226 | + | 0.301743i | ||||
\(887\) | −25.3683 | − | 17.2958i | −0.851782 | − | 0.580735i | 0.0568261 | − | 0.998384i | \(-0.481902\pi\) |
−0.908609 | + | 0.417649i | \(0.862854\pi\) | |||||||
\(888\) | 11.3247 | + | 36.5364i | 0.380031 | + | 1.22608i | ||||
\(889\) | −1.35529 | + | 1.78626i | −0.0454551 | + | 0.0599091i | ||||
\(890\) | 1.18150 | − | 0.568978i | 0.0396038 | − | 0.0190722i | ||||
\(891\) | 6.21892 | + | 26.5766i | 0.208342 | + | 0.890351i | ||||
\(892\) | 3.81968 | + | 1.83946i | 0.127893 | + | 0.0615898i | ||||
\(893\) | 0.288550 | − | 0.0434919i | 0.00965596 | − | 0.00145540i | ||||
\(894\) | −27.7424 | + | 40.8102i | −0.927843 | + | 1.36490i | ||||
\(895\) | −4.13148 | + | 10.5268i | −0.138100 | + | 0.351874i | ||||
\(896\) | 32.8633 | − | 5.76750i | 1.09789 | − | 0.192679i | ||||
\(897\) | −15.0892 | + | 31.4429i | −0.503814 | + | 1.04985i | ||||
\(898\) | −39.2762 | + | 26.7780i | −1.31066 | + | 0.893595i | ||||
\(899\) | 2.86765 | + | 12.5640i | 0.0956413 | + | 0.419032i | ||||
\(900\) | 0.163428 | − | 2.26377i | 0.00544760 | − | 0.0754591i | ||||
\(901\) | 7.65597 | 0.255057 | ||||||||
\(902\) | −37.4599 | − | 11.5549i | −1.24728 | − | 0.384735i | ||||
\(903\) | −41.7831 | − | 31.6124i | −1.39046 | − | 1.05200i | ||||
\(904\) | 16.5326 | − | 5.09965i | 0.549868 | − | 0.169612i | ||||
\(905\) | −7.20202 | + | 2.22153i | −0.239403 | + | 0.0738461i | ||||
\(906\) | −6.77142 | − | 9.90276i | −0.224965 | − | 0.328997i | ||||
\(907\) | −2.32290 | − | 5.91865i | −0.0771306 | − | 0.196526i | 0.887108 | − | 0.461563i | \(-0.152711\pi\) |
−0.964238 | + | 0.265037i | \(0.914616\pi\) | |||||||
\(908\) | −0.429758 | + | 1.88289i | −0.0142620 | + | 0.0624860i | ||||
\(909\) | 21.1227 | − | 19.7066i | 0.700594 | − | 0.653627i | ||||
\(910\) | −18.7814 | − | 2.36893i | −0.622599 | − | 0.0785292i | ||||
\(911\) | 18.6383 | + | 5.74916i | 0.617515 | + | 0.190478i | 0.587702 | − | 0.809077i | \(-0.300033\pi\) |
0.0298130 | + | 0.999555i | \(0.490509\pi\) | |||||||
\(912\) | −0.655921 | + | 0.150653i | −0.0217197 | + | 0.00498861i | ||||
\(913\) | 18.1706 | + | 31.4724i | 0.601359 | + | 1.04159i | ||||
\(914\) | −13.8692 | + | 12.8688i | −0.458754 | + | 0.425661i | ||||
\(915\) | −5.58911 | − | 18.0320i | −0.184770 | − | 0.596118i | ||||
\(916\) | 1.04289 | + | 2.65725i | 0.0344582 | + | 0.0877981i | ||||
\(917\) | −4.40907 | + | 4.29359i | −0.145600 | + | 0.141787i | ||||
\(918\) | −21.4671 | + | 23.3270i | −0.708518 | + | 0.769905i | ||||
\(919\) | 7.90269 | + | 34.6240i | 0.260686 | + | 1.14214i | 0.920510 | + | 0.390719i | \(0.127774\pi\) |
−0.659824 | + | 0.751420i | \(0.729369\pi\) | |||||||
\(920\) | −9.43959 | + | 1.42279i | −0.311214 | + | 0.0469080i | ||||
\(921\) | 3.87182 | + | 12.4915i | 0.127581 | + | 0.411609i | ||||
\(922\) | −38.3729 | − | 5.78378i | −1.26374 | − | 0.190479i | ||||
\(923\) | −12.2762 | − | 8.36975i | −0.404075 | − | 0.275494i | ||||
\(924\) | 1.77227 | + | 1.81497i | 0.0583032 | + | 0.0597080i | ||||
\(925\) | −28.1677 | + | 19.2044i | −0.926149 | + | 0.631438i | ||||
\(926\) | 35.9056 | − | 17.2912i | 1.17993 | − | 0.568224i | ||||
\(927\) | 6.11571 | + | 26.4612i | 0.200866 | + | 0.869100i | ||||
\(928\) | 1.71270 | − | 0.824794i | 0.0562222 | − | 0.0270752i | ||||
\(929\) | −22.1093 | + | 3.33244i | −0.725383 | + | 0.109334i | −0.501346 | − | 0.865247i | \(-0.667162\pi\) |
−0.224037 | + | 0.974581i | \(0.571924\pi\) | |||||||
\(930\) | −4.84581 | + | 15.7862i | −0.158900 | + | 0.517651i | ||||
\(931\) | −0.110026 | + | 0.618184i | −0.00360595 | + | 0.0202602i | ||||
\(932\) | 0.529943 | + | 0.917888i | 0.0173589 | + | 0.0300664i | ||||
\(933\) | −3.80453 | + | 1.49917i | −0.124555 | + | 0.0490806i | ||||
\(934\) | 3.90933 | − | 52.1664i | 0.127917 | − | 1.70694i | ||||
\(935\) | 2.57717 | − | 11.2913i | 0.0842826 | − | 0.369266i | ||||
\(936\) | −26.2127 | + | 33.0545i | −0.856788 | + | 1.08042i | ||||
\(937\) | 1.44901 | + | 0.697808i | 0.0473372 | + | 0.0227964i | 0.457403 | − | 0.889260i | \(-0.348780\pi\) |
−0.410065 | + | 0.912056i | \(0.634494\pi\) | |||||||
\(938\) | 8.49230 | − | 41.8361i | 0.277283 | − | 1.36600i | ||||
\(939\) | 7.88852 | − | 6.30853i | 0.257432 | − | 0.205871i | ||||
\(940\) | −0.542980 | − | 0.0818410i | −0.0177100 | − | 0.00266936i | ||||
\(941\) | −0.0330918 | − | 0.441579i | −0.00107876 | − | 0.0143951i | 0.996638 | − | 0.0819257i | \(-0.0261070\pi\) |
−0.997717 | + | 0.0675306i | \(0.978488\pi\) | |||||||
\(942\) | 1.56781 | − | 10.4991i | 0.0510821 | − | 0.342078i | ||||
\(943\) | 32.1451 | + | 9.91545i | 1.04679 | + | 0.322891i | ||||
\(944\) | −24.7392 | − | 31.0220i | −0.805193 | − | 1.00968i | ||||
\(945\) | 10.8261 | − | 6.66479i | 0.352173 | − | 0.216806i | ||||
\(946\) | −31.9388 | + | 40.0500i | −1.03842 | + | 1.30214i | ||||
\(947\) | 6.20117 | − | 4.22789i | 0.201511 | − | 0.137388i | −0.458360 | − | 0.888766i | \(-0.651563\pi\) |
0.659871 | + | 0.751379i | \(0.270611\pi\) | |||||||
\(948\) | −0.625177 | + | 0.919663i | −0.0203048 | + | 0.0298693i | ||||
\(949\) | −28.5851 | − | 49.5109i | −0.927912 | − | 1.60719i | ||||
\(950\) | −0.274631 | − | 0.475675i | −0.00891021 | − | 0.0154329i | ||||
\(951\) | 9.61337 | + | 19.8928i | 0.311735 | + | 0.645068i | ||||
\(952\) | 5.83606 | − | 28.7505i | 0.189148 | − | 0.931810i | ||||
\(953\) | 1.55346 | − | 6.80615i | 0.0503215 | − | 0.220473i | −0.943515 | − | 0.331330i | \(-0.892503\pi\) |
0.993836 | + | 0.110858i | \(0.0353597\pi\) | |||||||
\(954\) | 6.00779 | − | 5.60504i | 0.194509 | − | 0.181470i | ||||
\(955\) | 3.39089 | − | 4.25204i | 0.109727 | − | 0.137593i | ||||
\(956\) | −1.75085 | − | 4.46110i | −0.0566266 | − | 0.144282i | ||||
\(957\) | −8.40720 | − | 4.83860i | −0.271766 | − | 0.156410i | ||||
\(958\) | −37.8237 | + | 11.6671i | −1.22203 | + | 0.376946i | ||||
\(959\) | −14.0243 | − | 3.95797i | −0.452868 | − | 0.127810i | ||||
\(960\) | −11.4097 | − | 0.839364i | −0.368245 | − | 0.0270904i | ||||
\(961\) | −8.85061 | + | 15.3297i | −0.285504 | + | 0.494507i | ||||
\(962\) | −63.6389 | −2.05180 | ||||||||
\(963\) | −51.9781 | + | 7.97974i | −1.67497 | + | 0.257143i | ||||
\(964\) | −1.91994 | − | 0.924596i | −0.0618372 | − | 0.0297792i | ||||
\(965\) | 0.548881 | + | 1.39853i | 0.0176691 | + | 0.0450201i | ||||
\(966\) | −18.1846 | − | 18.6228i | −0.585081 | − | 0.599178i | ||||
\(967\) | −1.96648 | + | 5.01051i | −0.0632378 | + | 0.161127i | −0.959000 | − | 0.283407i | \(-0.908535\pi\) |
0.895762 | + | 0.444534i | \(0.146631\pi\) | |||||||
\(968\) | 3.54790 | − | 3.29197i | 0.114034 | − | 0.105808i | ||||
\(969\) | −0.0947599 | + | 0.634571i | −0.00304413 | + | 0.0203854i | ||||
\(970\) | −17.2649 | + | 11.7710i | −0.554341 | + | 0.377943i | ||||
\(971\) | 5.93528 | − | 7.44261i | 0.190472 | − | 0.238845i | −0.677421 | − | 0.735596i | \(-0.736902\pi\) |
0.867893 | + | 0.496751i | \(0.165474\pi\) | |||||||
\(972\) | 0.0194340 | + | 2.84528i | 0.000623347 | + | 0.0912624i | ||||
\(973\) | −1.98212 | − | 19.9700i | −0.0635439 | − | 0.640210i | ||||
\(974\) | 40.8289 | − | 27.8367i | 1.30824 | − | 0.891946i | ||||
\(975\) | −35.0185 | − | 13.6886i | −1.12149 | − | 0.438385i | ||||
\(976\) | −48.7873 | + | 15.0489i | −1.56164 | + | 0.481703i | ||||
\(977\) | −17.4358 | − | 11.8875i | −0.557821 | − | 0.380316i | 0.251344 | − | 0.967898i | \(-0.419128\pi\) |
−0.809165 | + | 0.587582i | \(0.800080\pi\) | |||||||
\(978\) | 37.6274 | + | 29.9228i | 1.20319 | + | 0.956826i | ||||
\(979\) | −1.45554 | + | 2.52107i | −0.0465192 | + | 0.0805737i | ||||
\(980\) | 0.540722 | − | 1.05056i | 0.0172727 | − | 0.0335589i | ||||
\(981\) | −2.60059 | + | 36.0229i | −0.0830306 | + | 1.15012i | ||||
\(982\) | 37.6851 | + | 47.2557i | 1.20258 | + | 1.50799i | ||||
\(983\) | 3.06244 | − | 40.8654i | 0.0976765 | − | 1.30340i | −0.705947 | − | 0.708265i | \(-0.749478\pi\) |
0.803624 | − | 0.595138i | \(-0.202903\pi\) | |||||||
\(984\) | 35.2671 | + | 20.2973i | 1.12428 | + | 0.647054i | ||||
\(985\) | 9.83845 | + | 6.70774i | 0.313479 | + | 0.213726i | ||||
\(986\) | −0.841933 | − | 11.2348i | −0.0268126 | − | 0.357789i | ||||
\(987\) | 6.80863 | + | 13.2623i | 0.216721 | + | 0.422144i | ||||
\(988\) | 0.00640803 | − | 0.0855092i | 0.000203866 | − | 0.00272041i | ||||
\(989\) | 27.4073 | − | 34.3677i | 0.871502 | − | 1.09283i | ||||
\(990\) | −6.24418 | − | 10.7473i | −0.198453 | − | 0.341572i | ||||
\(991\) | 3.34541 | + | 4.19501i | 0.106271 | + | 0.133259i | 0.832122 | − | 0.554592i | \(-0.187126\pi\) |
−0.725852 | + | 0.687851i | \(0.758554\pi\) | |||||||
\(992\) | 6.86470 | + | 2.11748i | 0.217954 | + | 0.0672300i | ||||
\(993\) | 12.4174 | + | 9.87481i | 0.394053 | + | 0.313367i | ||||
\(994\) | 9.00854 | − | 6.46574i | 0.285733 | − | 0.205081i | ||||
\(995\) | 7.28151 | + | 1.09751i | 0.230839 | + | 0.0347935i | ||||
\(996\) | 1.12160 | + | 3.61859i | 0.0355393 | + | 0.114659i | ||||
\(997\) | −2.75709 | − | 0.850449i | −0.0873178 | − | 0.0269340i | 0.250788 | − | 0.968042i | \(-0.419310\pi\) |
−0.338106 | + | 0.941108i | \(0.609786\pi\) | |||||||
\(998\) | −45.3541 | −1.43566 | ||||||||
\(999\) | 33.3048 | − | 26.7837i | 1.05372 | − | 0.847400i |
(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 | 441.2.ba.a.106.40 | yes | 648 | |
9.4 | even | 3 | inner | 441.2.ba.a.400.15 | yes | 648 | |
49.43 | even | 7 | inner | 441.2.ba.a.43.15 | ✓ | 648 | |
441.337 | even | 21 | inner | 441.2.ba.a.337.40 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.ba.a.43.15 | ✓ | 648 | 49.43 | even | 7 | inner | |
441.2.ba.a.106.40 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.ba.a.337.40 | yes | 648 | 441.337 | even | 21 | inner | |
441.2.ba.a.400.15 | yes | 648 | 9.4 | even | 3 | inner |