Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(362,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.362");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.s (of order \(6\), degree \(2\), not 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: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 7x^{10} + 37x^{8} - 78x^{6} + 123x^{4} - 36x^{2} + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 362.3 | ||
Root | \(0.474636 - 0.274031i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.362 |
Dual form | 441.2.s.c.374.3 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.555632 | − | 0.320794i | 0.392891 | − | 0.226836i | −0.290521 | − | 0.956869i | \(-0.593829\pi\) |
0.683412 | + | 0.730033i | \(0.260495\pi\) | |||||||
\(3\) | −0.175815 | − | 1.72310i | −0.101507 | − | 0.994835i | ||||
\(4\) | −0.794182 | + | 1.37556i | −0.397091 | + | 0.687782i | ||||
\(5\) | −2.21105 | −0.988811 | −0.494405 | − | 0.869231i | \(-0.664614\pi\) | ||||
−0.494405 | + | 0.869231i | \(0.664614\pi\) | |||||||
\(6\) | −0.650451 | − | 0.901012i | −0.265545 | − | 0.367836i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.30225i | 0.813970i | ||||||||
\(9\) | −2.93818 | + | 0.605896i | −0.979393 | + | 0.201965i | ||||
\(10\) | −1.22853 | + | 0.709292i | −0.388495 | + | 0.224298i | ||||
\(11\) | 3.39272i | 1.02294i | 0.859300 | + | 0.511471i | \(0.170899\pi\) | ||||
−0.859300 | + | 0.511471i | \(0.829101\pi\) | |||||||
\(12\) | 2.50987 | + | 1.12661i | 0.724537 | + | 0.325225i | ||||
\(13\) | −1.56060 | + | 0.901012i | −0.432832 | + | 0.249896i | −0.700552 | − | 0.713601i | \(-0.747063\pi\) |
0.267720 | + | 0.963497i | \(0.413730\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.388736 | + | 3.80987i | 0.100371 | + | 0.983704i | ||||
\(16\) | −0.849814 | − | 1.47192i | −0.212454 | − | 0.367980i | ||||
\(17\) | 2.98450 | + | 5.16931i | 0.723849 | + | 1.25374i | 0.959446 | + | 0.281892i | \(0.0909620\pi\) |
−0.235597 | + | 0.971851i | \(0.575705\pi\) | |||||||
\(18\) | −1.43818 | + | 1.27921i | −0.338982 | + | 0.301512i | ||||
\(19\) | −1.42391 | − | 0.822093i | −0.326667 | − | 0.188601i | 0.327694 | − | 0.944784i | \(-0.393729\pi\) |
−0.654360 | + | 0.756183i | \(0.727062\pi\) | |||||||
\(20\) | 1.75597 | − | 3.04144i | 0.392648 | − | 0.680086i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.08836 | + | 1.88510i | 0.232040 | + | 0.401905i | ||||
\(23\) | 2.37364i | 0.494938i | 0.968896 | + | 0.247469i | \(0.0795988\pi\) | ||||
−0.968896 | + | 0.247469i | \(0.920401\pi\) | |||||||
\(24\) | 3.96702 | − | 0.404771i | 0.809765 | − | 0.0826235i | ||||
\(25\) | −0.111264 | −0.0222528 | ||||||||
\(26\) | −0.578079 | + | 1.00126i | −0.113371 | + | 0.196364i | ||||
\(27\) | 1.56060 | + | 4.95626i | 0.300337 | + | 0.953833i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.44437 | + | 1.41126i | 0.453908 | + | 0.262064i | 0.709479 | − | 0.704726i | \(-0.248930\pi\) |
−0.255571 | + | 0.966790i | \(0.582264\pi\) | |||||||
\(30\) | 1.43818 | + | 1.99218i | 0.262574 | + | 0.363721i | ||||
\(31\) | −9.28558 | − | 5.36103i | −1.66774 | − | 0.962870i | −0.968853 | − | 0.247638i | \(-0.920346\pi\) |
−0.698887 | − | 0.715232i | \(-0.746321\pi\) | |||||||
\(32\) | −4.93199 | − | 2.84748i | −0.871861 | − | 0.503369i | ||||
\(33\) | 5.84600 | − | 0.596491i | 1.01766 | − | 0.103836i | ||||
\(34\) | 3.31657 | + | 1.91482i | 0.568788 | + | 0.328390i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.50000 | − | 4.52284i | 0.250000 | − | 0.753807i | ||||
\(37\) | −0.849814 | + | 1.47192i | −0.139709 | + | 0.241982i | −0.927386 | − | 0.374105i | \(-0.877950\pi\) |
0.787678 | + | 0.616088i | \(0.211283\pi\) | |||||||
\(38\) | −1.05489 | −0.171126 | ||||||||
\(39\) | 1.82691 | + | 2.53066i | 0.292540 | + | 0.405230i | ||||
\(40\) | − | 5.09039i | − | 0.804862i | ||||||
\(41\) | −0.455074 | − | 0.788211i | −0.0710706 | − | 0.123098i | 0.828300 | − | 0.560285i | \(-0.189308\pi\) |
−0.899371 | + | 0.437187i | \(0.855975\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.96108 | + | 3.39669i | −0.299062 | + | 0.517990i | −0.975922 | − | 0.218122i | \(-0.930007\pi\) |
0.676860 | + | 0.736112i | \(0.263340\pi\) | |||||||
\(44\) | −4.66690 | − | 2.69443i | −0.703561 | − | 0.406201i | ||||
\(45\) | 6.49645 | − | 1.33966i | 0.968434 | − | 0.199705i | ||||
\(46\) | 0.761450 | + | 1.31887i | 0.112270 | + | 0.194457i | ||||
\(47\) | 0.123005 | + | 0.213051i | 0.0179422 | + | 0.0310767i | 0.874857 | − | 0.484381i | \(-0.160955\pi\) |
−0.856915 | + | 0.515458i | \(0.827622\pi\) | |||||||
\(48\) | −2.38686 | + | 1.72310i | −0.344514 | + | 0.248709i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −0.0618219 | + | 0.0356929i | −0.00874294 | + | 0.00504774i | ||||
\(51\) | 8.38255 | − | 6.05146i | 1.17379 | − | 0.847373i | ||||
\(52\) | − | 2.86227i | − | 0.396925i | ||||||
\(53\) | 6.82072 | − | 3.93795i | 0.936899 | − | 0.540919i | 0.0479118 | − | 0.998852i | \(-0.484743\pi\) |
0.888987 | + | 0.457933i | \(0.151410\pi\) | |||||||
\(54\) | 2.45706 | + | 2.25323i | 0.334363 | + | 0.306625i | ||||
\(55\) | − | 7.50146i | − | 1.01150i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.16621 | + | 2.59808i | −0.154468 | + | 0.344124i | ||||
\(58\) | 1.81089 | 0.237782 | ||||||||
\(59\) | −5.39093 | + | 9.33736i | −0.701839 | + | 1.21562i | 0.265981 | + | 0.963978i | \(0.414304\pi\) |
−0.967820 | + | 0.251643i | \(0.919029\pi\) | |||||||
\(60\) | −5.54944 | − | 2.49100i | −0.716430 | − | 0.321586i | ||||
\(61\) | −1.22853 | + | 0.709292i | −0.157297 | + | 0.0908155i | −0.576582 | − | 0.817039i | \(-0.695614\pi\) |
0.419285 | + | 0.907855i | \(0.362281\pi\) | |||||||
\(62\) | −6.87916 | −0.873654 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.254572 | −0.0318214 | ||||||||
\(65\) | 3.45056 | − | 1.99218i | 0.427989 | − | 0.247100i | ||||
\(66\) | 3.05688 | − | 2.20679i | 0.376275 | − | 0.271638i | ||||
\(67\) | 3.99381 | − | 6.91748i | 0.487922 | − | 0.845105i | −0.511982 | − | 0.858996i | \(-0.671089\pi\) |
0.999904 | + | 0.0138913i | \(0.00442187\pi\) | |||||||
\(68\) | −9.48096 | −1.14974 | ||||||||
\(69\) | 4.09003 | − | 0.417322i | 0.492382 | − | 0.0502396i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 12.1743i | − | 1.44482i | −0.691463 | − | 0.722412i | \(-0.743034\pi\) | ||
0.691463 | − | 0.722412i | \(-0.256966\pi\) | |||||||
\(72\) | −1.39493 | − | 6.76443i | −0.164394 | − | 0.797196i | ||||
\(73\) | −0.369016 | + | 0.213051i | −0.0431900 | + | 0.0249358i | −0.521440 | − | 0.853288i | \(-0.674605\pi\) |
0.478250 | + | 0.878224i | \(0.341271\pi\) | |||||||
\(74\) | 1.09046i | 0.126764i | ||||||||
\(75\) | 0.0195619 | + | 0.191720i | 0.00225882 | + | 0.0221379i | ||||
\(76\) | 2.26168 | − | 1.30578i | 0.259433 | − | 0.149784i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.82691 | + | 0.820053i | 0.206857 | + | 0.0928527i | ||||
\(79\) | 2.49381 | + | 4.31941i | 0.280576 | + | 0.485971i | 0.971527 | − | 0.236930i | \(-0.0761413\pi\) |
−0.690951 | + | 0.722902i | \(0.742808\pi\) | |||||||
\(80\) | 1.87898 | + | 3.25449i | 0.210076 | + | 0.363863i | ||||
\(81\) | 8.26578 | − | 3.56046i | 0.918420 | − | 0.395607i | ||||
\(82\) | −0.505707 | − | 0.291970i | −0.0558460 | − | 0.0322427i | ||||
\(83\) | −4.28541 | + | 7.42254i | −0.470384 | + | 0.814730i | −0.999426 | − | 0.0338660i | \(-0.989218\pi\) |
0.529042 | + | 0.848596i | \(0.322551\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.59888 | − | 11.4296i | −0.715750 | − | 1.23971i | ||||
\(86\) | 2.51641i | 0.271352i | ||||||||
\(87\) | 2.00199 | − | 4.46002i | 0.214635 | − | 0.478165i | ||||
\(88\) | −7.81089 | −0.832644 | ||||||||
\(89\) | −5.26792 | + | 9.12431i | −0.558399 | + | 0.967175i | 0.439231 | + | 0.898374i | \(0.355251\pi\) |
−0.997630 | + | 0.0688014i | \(0.978083\pi\) | |||||||
\(90\) | 3.17988 | − | 2.82839i | 0.335189 | − | 0.298138i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −3.26509 | − | 1.88510i | −0.340409 | − | 0.196535i | ||||
\(93\) | −7.60507 | + | 16.9426i | −0.788609 | + | 1.75686i | ||||
\(94\) | 0.136691 | + | 0.0789188i | 0.0140986 | + | 0.00813985i | ||||
\(95\) | 3.14833 | + | 1.81769i | 0.323012 | + | 0.186491i | ||||
\(96\) | −4.03940 | + | 8.99896i | −0.412269 | + | 0.918453i | ||||
\(97\) | −6.30108 | − | 3.63793i | −0.639777 | − | 0.369376i | 0.144751 | − | 0.989468i | \(-0.453762\pi\) |
−0.784529 | + | 0.620092i | \(0.787095\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.05563 | − | 9.96840i | −0.206599 | − | 1.00186i | ||||
\(100\) | 0.0883640 | − | 0.153051i | 0.00883640 | − | 0.0153051i | ||||
\(101\) | 4.66811 | 0.464494 | 0.232247 | − | 0.972657i | \(-0.425392\pi\) | ||||
0.232247 | + | 0.972657i | \(0.425392\pi\) | |||||||
\(102\) | 2.71634 | − | 6.05146i | 0.268958 | − | 0.599183i | ||||
\(103\) | − | 6.24071i | − | 0.614916i | −0.951562 | − | 0.307458i | \(-0.900522\pi\) | ||
0.951562 | − | 0.307458i | \(-0.0994783\pi\) | |||||||
\(104\) | −2.07436 | − | 3.59289i | −0.203407 | − | 0.352312i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.52654 | − | 4.37610i | 0.245399 | − | 0.425044i | ||||
\(107\) | −1.28985 | − | 0.744696i | −0.124695 | − | 0.0719925i | 0.436355 | − | 0.899774i | \(-0.356269\pi\) |
−0.561050 | + | 0.827782i | \(0.689602\pi\) | |||||||
\(108\) | −8.05705 | − | 1.78947i | −0.775290 | − | 0.172192i | ||||
\(109\) | 2.19344 | + | 3.79915i | 0.210093 | + | 0.363892i | 0.951744 | − | 0.306895i | \(-0.0992899\pi\) |
−0.741650 | + | 0.670787i | \(0.765957\pi\) | |||||||
\(110\) | −2.40643 | − | 4.16805i | −0.229444 | − | 0.397408i | ||||
\(111\) | 2.68568 | + | 1.20553i | 0.254914 | + | 0.114424i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −14.8764 | + | 8.58887i | −1.39945 | + | 0.807973i | −0.994335 | − | 0.106293i | \(-0.966102\pi\) |
−0.405115 | + | 0.914266i | \(0.632769\pi\) | |||||||
\(114\) | 0.185466 | + | 1.81769i | 0.0173705 | + | 0.170242i | ||||
\(115\) | − | 5.24823i | − | 0.489400i | ||||||
\(116\) | −3.88255 | + | 2.24159i | −0.360485 | + | 0.208126i | ||||
\(117\) | 4.03940 | − | 3.59289i | 0.373442 | − | 0.332163i | ||||
\(118\) | 6.91752i | 0.636809i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −8.77128 | + | 0.894969i | −0.800705 | + | 0.0816991i | ||||
\(121\) | −0.510520 | −0.0464110 | ||||||||
\(122\) | −0.455074 | + | 0.788211i | −0.0412004 | + | 0.0713612i | ||||
\(123\) | −1.27816 | + | 0.922719i | −0.115248 | + | 0.0831987i | ||||
\(124\) | 14.7489 | − | 8.51527i | 1.32449 | − | 0.764694i | ||||
\(125\) | 11.3013 | 1.01081 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.32141 | 0.560935 | 0.280467 | − | 0.959864i | \(-0.409511\pi\) | ||||
0.280467 | + | 0.959864i | \(0.409511\pi\) | |||||||
\(128\) | 9.72253 | − | 5.61330i | 0.859358 | − | 0.496151i | ||||
\(129\) | 6.19763 | + | 2.78195i | 0.545671 | + | 0.244937i | ||||
\(130\) | 1.27816 | − | 2.21384i | 0.112102 | − | 0.194167i | ||||
\(131\) | 17.0243 | 1.48742 | 0.743708 | − | 0.668505i | \(-0.233065\pi\) | ||||
0.743708 | + | 0.668505i | \(0.233065\pi\) | |||||||
\(132\) | −3.82228 | + | 8.51527i | −0.332687 | + | 0.741159i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 5.12477i | − | 0.442712i | ||||||
\(135\) | −3.45056 | − | 10.9585i | −0.296977 | − | 0.943161i | ||||
\(136\) | −11.9011 | + | 6.87109i | −1.02051 | + | 0.589191i | ||||
\(137\) | − | 6.26517i | − | 0.535270i | −0.963520 | − | 0.267635i | \(-0.913758\pi\) | ||
0.963520 | − | 0.267635i | \(-0.0862421\pi\) | |||||||
\(138\) | 2.13868 | − | 1.54394i | 0.182056 | − | 0.131429i | ||||
\(139\) | 6.65488 | − | 3.84220i | 0.564460 | − | 0.325891i | −0.190474 | − | 0.981692i | \(-0.561002\pi\) |
0.754934 | + | 0.655801i | \(0.227669\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.345483 | − | 0.249409i | 0.0290950 | − | 0.0210040i | ||||
\(142\) | −3.90545 | − | 6.76443i | −0.327738 | − | 0.567658i | ||||
\(143\) | −3.05688 | − | 5.29467i | −0.255629 | − | 0.442762i | ||||
\(144\) | 3.38874 | + | 3.80987i | 0.282395 | + | 0.317489i | ||||
\(145\) | −5.40462 | − | 3.12036i | −0.448829 | − | 0.259132i | ||||
\(146\) | −0.136691 | + | 0.236756i | −0.0113127 | + | 0.0195941i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.34981 | − | 2.33795i | −0.110954 | − | 0.192178i | ||||
\(149\) | 15.4377i | 1.26471i | 0.774679 | + | 0.632355i | \(0.217911\pi\) | ||||
−0.774679 | + | 0.632355i | \(0.782089\pi\) | |||||||
\(150\) | 0.0723718 | + | 0.100250i | 0.00590914 | + | 0.00818540i | ||||
\(151\) | 11.6872 | 0.951095 | 0.475547 | − | 0.879690i | \(-0.342250\pi\) | ||||
0.475547 | + | 0.879690i | \(0.342250\pi\) | |||||||
\(152\) | 1.89267 | − | 3.27819i | 0.153516 | − | 0.265897i | ||||
\(153\) | −11.9011 | − | 13.3801i | −0.962145 | − | 1.08171i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 20.5309 | + | 11.8535i | 1.64908 | + | 0.952096i | ||||
\(156\) | −4.93199 | + | 0.503230i | −0.394875 | + | 0.0402907i | ||||
\(157\) | 4.93586 | + | 2.84972i | 0.393924 | + | 0.227432i | 0.683859 | − | 0.729614i | \(-0.260300\pi\) |
−0.289935 | + | 0.957046i | \(0.593634\pi\) | |||||||
\(158\) | 2.77128 | + | 1.60000i | 0.220471 | + | 0.127289i | ||||
\(159\) | −7.98468 | − | 11.0605i | −0.633226 | − | 0.877152i | ||||
\(160\) | 10.9049 | + | 6.29593i | 0.862105 | + | 0.497737i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 3.45056 | − | 4.62992i | 0.271101 | − | 0.363761i | ||||
\(163\) | 5.10507 | − | 8.84225i | 0.399860 | − | 0.692578i | −0.593848 | − | 0.804577i | \(-0.702392\pi\) |
0.993708 | + | 0.111999i | \(0.0357253\pi\) | |||||||
\(164\) | 1.44565 | 0.112886 | ||||||||
\(165\) | −12.9258 | + | 1.31887i | −1.00627 | + | 0.102674i | ||||
\(166\) | 5.49894i | 0.426800i | ||||||||
\(167\) | 1.80661 | + | 3.12914i | 0.139800 | + | 0.242140i | 0.927421 | − | 0.374020i | \(-0.122021\pi\) |
−0.787621 | + | 0.616160i | \(0.788688\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.87636 | + | 8.44610i | −0.375104 | + | 0.649700i | ||||
\(170\) | −7.33310 | − | 4.23377i | −0.562423 | − | 0.324715i | ||||
\(171\) | 4.68179 | + | 1.55272i | 0.358026 | + | 0.118739i | ||||
\(172\) | −3.11491 | − | 5.39518i | −0.237509 | − | 0.411378i | ||||
\(173\) | 9.03957 | + | 15.6570i | 0.687266 | + | 1.19038i | 0.972719 | + | 0.231987i | \(0.0745226\pi\) |
−0.285453 | + | 0.958393i | \(0.592144\pi\) | |||||||
\(174\) | −0.318382 | − | 3.12036i | −0.0241365 | − | 0.236554i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 4.99381 | − | 2.88318i | 0.376423 | − | 0.217328i | ||||
\(177\) | 17.0371 | + | 7.64749i | 1.28058 | + | 0.574820i | ||||
\(178\) | 6.75968i | 0.506660i | ||||||||
\(179\) | −4.35779 | + | 2.51597i | −0.325716 | + | 0.188052i | −0.653938 | − | 0.756548i | \(-0.726884\pi\) |
0.328221 | + | 0.944601i | \(0.393551\pi\) | |||||||
\(180\) | −3.31657 | + | 10.0002i | −0.247203 | + | 0.745373i | ||||
\(181\) | 13.5592i | 1.00785i | 0.863747 | + | 0.503925i | \(0.168111\pi\) | ||||
−0.863747 | + | 0.503925i | \(0.831889\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.43818 | + | 1.99218i | 0.106313 | + | 0.147266i | ||||
\(184\) | −5.46472 | −0.402865 | ||||||||
\(185\) | 1.87898 | − | 3.25449i | 0.138145 | − | 0.239275i | ||||
\(186\) | 1.20946 | + | 11.8535i | 0.0886819 | + | 0.869141i | ||||
\(187\) | −17.5380 | + | 10.1256i | −1.28251 | + | 0.740455i | ||||
\(188\) | −0.390754 | −0.0284987 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.33242 | 0.169211 | ||||||||
\(191\) | 8.86948 | − | 5.12080i | 0.641773 | − | 0.370528i | −0.143524 | − | 0.989647i | \(-0.545844\pi\) |
0.785297 | + | 0.619119i | \(0.212510\pi\) | |||||||
\(192\) | 0.0447575 | + | 0.438653i | 0.00323010 | + | 0.0316571i | ||||
\(193\) | −8.06615 | + | 13.9710i | −0.580614 | + | 1.00565i | 0.414792 | + | 0.909916i | \(0.363854\pi\) |
−0.995407 | + | 0.0957374i | \(0.969479\pi\) | |||||||
\(194\) | −4.66811 | −0.335151 | ||||||||
\(195\) | −4.03940 | − | 5.59542i | −0.289267 | − | 0.400696i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 3.86303i | − | 0.275230i | −0.990486 | − | 0.137615i | \(-0.956056\pi\) | ||
0.990486 | − | 0.137615i | \(-0.0439436\pi\) | |||||||
\(198\) | −4.33998 | − | 4.87933i | −0.308429 | − | 0.346759i | ||||
\(199\) | 13.1665 | − | 7.60171i | 0.933352 | − | 0.538871i | 0.0454817 | − | 0.998965i | \(-0.485518\pi\) |
0.887870 | + | 0.460094i | \(0.152184\pi\) | |||||||
\(200\) | − | 0.256158i | − | 0.0181131i | ||||||
\(201\) | −12.6217 | − | 5.66555i | −0.890267 | − | 0.399617i | ||||
\(202\) | 2.59375 | − | 1.49750i | 0.182496 | − | 0.105364i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 1.66690 | + | 16.3367i | 0.116706 | + | 1.14380i | ||||
\(205\) | 1.00619 | + | 1.74277i | 0.0702753 | + | 0.121720i | ||||
\(206\) | −2.00199 | − | 3.46754i | −0.139485 | − | 0.241595i | ||||
\(207\) | −1.43818 | − | 6.97418i | −0.0999603 | − | 0.484739i | ||||
\(208\) | 2.65244 | + | 1.53138i | 0.183913 | + | 0.106182i | ||||
\(209\) | 2.78913 | − | 4.83091i | 0.192928 | − | 0.334161i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.9523 | + | 20.7021i | 0.822833 | + | 1.42519i | 0.903564 | + | 0.428453i | \(0.140941\pi\) |
−0.0807311 | + | 0.996736i | \(0.525726\pi\) | |||||||
\(212\) | 12.5098i | 0.859176i | ||||||||
\(213\) | −20.9776 | + | 2.14043i | −1.43736 | + | 0.146660i | ||||
\(214\) | −0.955577 | −0.0653219 | ||||||||
\(215\) | 4.33604 | − | 7.51024i | 0.295715 | − | 0.512194i | ||||
\(216\) | −11.4106 | + | 3.59289i | −0.776391 | + | 0.244465i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 2.43749 | + | 1.40729i | 0.165088 | + | 0.0953134i | ||||
\(219\) | 0.431988 | + | 0.598395i | 0.0291911 | + | 0.0404358i | ||||
\(220\) | 10.3187 | + | 5.95752i | 0.695689 | + | 0.401656i | ||||
\(221\) | −9.31522 | − | 5.37815i | −0.626610 | − | 0.361773i | ||||
\(222\) | 1.87898 | − | 0.191720i | 0.126109 | − | 0.0128674i | ||||
\(223\) | −16.6198 | − | 9.59545i | −1.11294 | − | 0.642559i | −0.173354 | − | 0.984860i | \(-0.555461\pi\) |
−0.939591 | + | 0.342300i | \(0.888794\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.326914 | − | 0.0674145i | 0.0217943 | − | 0.00449430i | ||||
\(226\) | −5.51052 | + | 9.54450i | −0.366554 | + | 0.634891i | ||||
\(227\) | −8.67208 | −0.575586 | −0.287793 | − | 0.957693i | \(-0.592922\pi\) | ||||
−0.287793 | + | 0.957693i | \(0.592922\pi\) | |||||||
\(228\) | −2.64764 | − | 3.66754i | −0.175344 | − | 0.242889i | ||||
\(229\) | 14.3688i | 0.949515i | 0.880117 | + | 0.474758i | \(0.157464\pi\) | ||||
−0.880117 | + | 0.474758i | \(0.842536\pi\) | |||||||
\(230\) | −1.68360 | − | 2.91609i | −0.111014 | − | 0.192281i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.24907 | + | 5.62755i | −0.213312 | + | 0.369467i | ||||
\(233\) | −25.7348 | − | 14.8580i | −1.68594 | − | 0.973381i | −0.957570 | − | 0.288202i | \(-0.906942\pi\) |
−0.728375 | − | 0.685178i | \(-0.759724\pi\) | |||||||
\(234\) | 1.09184 | − | 3.29214i | 0.0713757 | − | 0.215214i | ||||
\(235\) | −0.271971 | − | 0.471067i | −0.0177414 | − | 0.0307290i | ||||
\(236\) | −8.56276 | − | 14.8311i | −0.557388 | − | 0.965425i | ||||
\(237\) | 7.00434 | − | 5.05651i | 0.454981 | − | 0.328456i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −13.7101 | + | 7.91556i | −0.886836 | + | 0.512015i | −0.872906 | − | 0.487888i | \(-0.837767\pi\) |
−0.0139296 | + | 0.999903i | \(0.504434\pi\) | |||||||
\(240\) | 5.27747 | − | 3.80987i | 0.340659 | − | 0.245926i | ||||
\(241\) | 5.02263i | 0.323536i | 0.986829 | + | 0.161768i | \(0.0517196\pi\) | ||||
−0.986829 | + | 0.161768i | \(0.948280\pi\) | |||||||
\(242\) | −0.283662 | + | 0.163772i | −0.0182345 | + | 0.0105277i | ||||
\(243\) | −7.58829 | − | 13.6168i | −0.486789 | − | 0.873519i | ||||
\(244\) | − | 2.25323i | − | 0.144248i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.414184 | + | 0.922719i | −0.0264074 | + | 0.0588304i | ||||
\(247\) | 2.96286 | 0.188522 | ||||||||
\(248\) | 12.3425 | − | 21.3778i | 0.783747 | − | 1.35749i | ||||
\(249\) | 13.5433 | + | 6.07921i | 0.858269 | + | 0.385254i | ||||
\(250\) | 6.27934 | − | 3.62538i | 0.397140 | − | 0.229289i | ||||
\(251\) | −7.29728 | −0.460600 | −0.230300 | − | 0.973120i | \(-0.573971\pi\) | ||||
−0.230300 | + | 0.973120i | \(0.573971\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.05308 | −0.506293 | ||||||||
\(254\) | 3.51238 | − | 2.02787i | 0.220386 | − | 0.127240i | ||||
\(255\) | −18.5342 | + | 13.3801i | −1.16066 | + | 0.837892i | ||||
\(256\) | 3.85600 | − | 6.67879i | 0.241000 | − | 0.417425i | ||||
\(257\) | 8.00794 | 0.499522 | 0.249761 | − | 0.968308i | \(-0.419648\pi\) | ||||
0.249761 | + | 0.968308i | \(0.419648\pi\) | |||||||
\(258\) | 4.33604 | − | 0.442423i | 0.269950 | − | 0.0275441i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 6.32862i | 0.392484i | ||||||||
\(261\) | −8.03706 | − | 2.66549i | −0.497482 | − | 0.164990i | ||||
\(262\) | 9.45922 | − | 5.46128i | 0.584393 | − | 0.337399i | ||||
\(263\) | 15.7098i | 0.968707i | 0.874872 | + | 0.484353i | \(0.160945\pi\) | ||||
−0.874872 | + | 0.484353i | \(0.839055\pi\) | |||||||
\(264\) | 1.37327 | + | 13.4590i | 0.0845191 | + | 0.828343i | ||||
\(265\) | −15.0810 | + | 8.70699i | −0.926416 | + | 0.534866i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 16.6483 | + | 7.47299i | 1.01886 | + | 0.457340i | ||||
\(268\) | 6.34362 | + | 10.9875i | 0.387499 | + | 0.671167i | ||||
\(269\) | −5.24619 | − | 9.08666i | −0.319866 | − | 0.554024i | 0.660594 | − | 0.750743i | \(-0.270304\pi\) |
−0.980460 | + | 0.196720i | \(0.936971\pi\) | |||||||
\(270\) | −5.43268 | − | 4.98199i | −0.330622 | − | 0.303195i | ||||
\(271\) | 19.2722 | + | 11.1268i | 1.17071 | + | 0.675907i | 0.953846 | − | 0.300296i | \(-0.0970853\pi\) |
0.216859 | + | 0.976203i | \(0.430419\pi\) | |||||||
\(272\) | 5.07255 | − | 8.78591i | 0.307568 | − | 0.532724i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.00983 | − | 3.48113i | −0.121418 | − | 0.210303i | ||||
\(275\) | − | 0.377488i | − | 0.0227634i | ||||||
\(276\) | −2.67417 | + | 5.95752i | −0.160966 | + | 0.358601i | ||||
\(277\) | −22.8502 | −1.37294 | −0.686468 | − | 0.727160i | \(-0.740840\pi\) | ||||
−0.686468 | + | 0.727160i | \(0.740840\pi\) | |||||||
\(278\) | 2.46511 | − | 4.26970i | 0.147848 | − | 0.256079i | ||||
\(279\) | 30.5309 | + | 10.1256i | 1.82784 | + | 0.606202i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.796041 | + | 0.459595i | 0.0474878 | + | 0.0274171i | 0.523556 | − | 0.851991i | \(-0.324605\pi\) |
−0.476068 | + | 0.879408i | \(0.657938\pi\) | |||||||
\(282\) | 0.111953 | − | 0.249409i | 0.00666670 | − | 0.0148521i | ||||
\(283\) | 19.1573 | + | 11.0605i | 1.13878 | + | 0.657477i | 0.946129 | − | 0.323790i | \(-0.104957\pi\) |
0.192654 | + | 0.981267i | \(0.438290\pi\) | |||||||
\(284\) | 16.7465 | + | 9.66861i | 0.993723 | + | 0.573726i | ||||
\(285\) | 2.57854 | − | 5.74447i | 0.152740 | − | 0.340273i | ||||
\(286\) | −3.39700 | − | 1.96126i | −0.200869 | − | 0.115972i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 16.2163 | + | 5.37815i | 0.955557 | + | 0.316910i | ||||
\(289\) | −9.31453 | + | 16.1332i | −0.547914 | + | 0.949014i | ||||
\(290\) | −4.00397 | −0.235121 | ||||||||
\(291\) | −5.16071 | + | 11.4970i | −0.302526 | + | 0.673967i | ||||
\(292\) | − | 0.676806i | − | 0.0396071i | ||||||
\(293\) | 14.6259 | + | 25.3328i | 0.854453 | + | 1.47996i | 0.877152 | + | 0.480214i | \(0.159441\pi\) |
−0.0226986 | + | 0.999742i | \(0.507226\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 11.9196 | − | 20.6454i | 0.693986 | − | 1.20202i | ||||
\(296\) | −3.38874 | − | 1.95649i | −0.196966 | − | 0.113719i | ||||
\(297\) | −16.8152 | + | 5.29467i | −0.975716 | + | 0.307228i | ||||
\(298\) | 4.95234 | + | 8.57771i | 0.286881 | + | 0.496893i | ||||
\(299\) | −2.13868 | − | 3.70430i | −0.123683 | − | 0.214225i | ||||
\(300\) | −0.279258 | − | 0.125352i | −0.0161230 | − | 0.00723718i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 6.49381 | − | 3.74920i | 0.373677 | − | 0.215742i | ||||
\(303\) | −0.820724 | − | 8.04364i | −0.0471494 | − | 0.462095i | ||||
\(304\) | 2.79450i | 0.160276i | ||||||||
\(305\) | 2.71634 | − | 1.56828i | 0.155537 | − | 0.0897994i | ||||
\(306\) | −10.9049 | − | 3.61660i | −0.623390 | − | 0.206747i | ||||
\(307\) | − | 14.8451i | − | 0.847254i | −0.905837 | − | 0.423627i | \(-0.860757\pi\) | ||
0.905837 | − | 0.423627i | \(-0.139243\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −10.7534 | + | 1.09721i | −0.611740 | + | 0.0624182i | ||||
\(310\) | 15.2101 | 0.863878 | ||||||||
\(311\) | 9.69002 | − | 16.7836i | 0.549471 | − | 0.951711i | −0.448840 | − | 0.893612i | \(-0.648163\pi\) |
0.998311 | − | 0.0580991i | \(-0.0185040\pi\) | |||||||
\(312\) | −5.82623 | + | 4.20602i | −0.329845 | + | 0.238119i | ||||
\(313\) | −12.6608 | + | 7.30974i | −0.715633 | + | 0.413171i | −0.813143 | − | 0.582064i | \(-0.802245\pi\) |
0.0975102 | + | 0.995235i | \(0.468912\pi\) | |||||||
\(314\) | 3.65669 | 0.206359 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.92216 | −0.445656 | ||||||||
\(317\) | 14.7046 | − | 8.48973i | 0.825895 | − | 0.476831i | −0.0265499 | − | 0.999647i | \(-0.508452\pi\) |
0.852445 | + | 0.522817i | \(0.175119\pi\) | |||||||
\(318\) | −7.98468 | − | 3.58411i | −0.447759 | − | 0.200987i | ||||
\(319\) | −4.78799 | + | 8.29305i | −0.268076 | + | 0.464321i | ||||
\(320\) | 0.562870 | 0.0314654 | ||||||||
\(321\) | −1.05641 | + | 2.35348i | −0.0589633 | + | 0.131358i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 9.81416i | − | 0.546074i | ||||||
\(324\) | −1.66690 | + | 14.1978i | −0.0926053 | + | 0.788764i | ||||
\(325\) | 0.173639 | − | 0.100250i | 0.00963174 | − | 0.00556089i | ||||
\(326\) | − | 6.55072i | − | 0.362811i | ||||||
\(327\) | 6.16069 | − | 4.44747i | 0.340687 | − | 0.245946i | ||||
\(328\) | 1.81466 | − | 1.04769i | 0.100198 | − | 0.0578493i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −6.75890 | + | 4.87933i | −0.372065 | + | 0.268598i | ||||
\(331\) | −9.94801 | − | 17.2305i | −0.546792 | − | 0.947072i | −0.998492 | − | 0.0549016i | \(-0.982515\pi\) |
0.451700 | − | 0.892170i | \(-0.350818\pi\) | |||||||
\(332\) | −6.80678 | − | 11.7897i | −0.373571 | − | 0.647044i | ||||
\(333\) | 1.60507 | − | 4.83967i | 0.0879575 | − | 0.265212i | ||||
\(334\) | 2.00762 | + | 1.15910i | 0.109852 | + | 0.0634231i | ||||
\(335\) | −8.83051 | + | 15.2949i | −0.482462 | + | 0.835649i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.490168 | + | 0.848996i | 0.0267012 | + | 0.0462478i | 0.879067 | − | 0.476698i | \(-0.158166\pi\) |
−0.852366 | + | 0.522946i | \(0.824833\pi\) | |||||||
\(338\) | 6.25723i | 0.340348i | ||||||||
\(339\) | 17.4150 | + | 24.1235i | 0.945853 | + | 1.31021i | ||||
\(340\) | 20.9629 | 1.13687 | ||||||||
\(341\) | 18.1885 | − | 31.5033i | 0.984960 | − | 1.70600i | ||||
\(342\) | 3.09946 | − | 0.639154i | 0.167599 | − | 0.0345615i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −7.82004 | − | 4.51490i | −0.421628 | − | 0.243427i | ||||
\(345\) | −9.04325 | + | 0.922719i | −0.486872 | + | 0.0496775i | ||||
\(346\) | 10.0454 | + | 5.79969i | 0.540041 | + | 0.311793i | ||||
\(347\) | −18.3702 | − | 10.6060i | −0.986162 | − | 0.569361i | −0.0820373 | − | 0.996629i | \(-0.526143\pi\) |
−0.904125 | + | 0.427268i | \(0.859476\pi\) | |||||||
\(348\) | 4.54510 | + | 6.29593i | 0.243643 | + | 0.337497i | ||||
\(349\) | 8.69945 | + | 5.02263i | 0.465671 | + | 0.268855i | 0.714426 | − | 0.699711i | \(-0.246688\pi\) |
−0.248755 | + | 0.968566i | \(0.580021\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −6.90112 | − | 6.32862i | −0.368354 | − | 0.337797i | ||||
\(352\) | 9.66071 | − | 16.7328i | 0.514917 | − | 0.891863i | ||||
\(353\) | −2.74655 | −0.146184 | −0.0730920 | − | 0.997325i | \(-0.523287\pi\) | ||||
−0.0730920 | + | 0.997325i | \(0.523287\pi\) | |||||||
\(354\) | 11.9196 | − | 1.21620i | 0.633520 | − | 0.0646406i | ||||
\(355\) | 26.9180i | 1.42866i | ||||||||
\(356\) | −8.36738 | − | 14.4927i | −0.443470 | − | 0.768113i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.61422 | + | 2.79591i | −0.0853140 | + | 0.147768i | ||||
\(359\) | 8.66140 | + | 5.00066i | 0.457131 | + | 0.263925i | 0.710837 | − | 0.703357i | \(-0.248316\pi\) |
−0.253706 | + | 0.967281i | \(0.581650\pi\) | |||||||
\(360\) | 3.08425 | + | 14.9565i | 0.162554 | + | 0.788276i | ||||
\(361\) | −8.14833 | − | 14.1133i | −0.428859 | − | 0.742806i | ||||
\(362\) | 4.34973 | + | 7.53395i | 0.228616 | + | 0.395975i | ||||
\(363\) | 0.0897572 | + | 0.879680i | 0.00471103 | + | 0.0461712i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.815912 | − | 0.471067i | 0.0427068 | − | 0.0246568i | ||||
\(366\) | 1.43818 | + | 0.645560i | 0.0751748 | + | 0.0337440i | ||||
\(367\) | 5.81461i | 0.303520i | 0.988417 | + | 0.151760i | \(0.0484941\pi\) | ||||
−0.988417 | + | 0.151760i | \(0.951506\pi\) | |||||||
\(368\) | 3.49381 | − | 2.01715i | 0.182127 | − | 0.105151i | ||||
\(369\) | 1.81466 | + | 2.04018i | 0.0944675 | + | 0.106207i | ||||
\(370\) | − | 2.41106i | − | 0.125345i | ||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −17.2658 | − | 23.9168i | −0.895189 | − | 1.24003i | ||||
\(373\) | −15.5192 | −0.803553 | −0.401776 | − | 0.915738i | \(-0.631607\pi\) | ||||
−0.401776 | + | 0.915738i | \(0.631607\pi\) | |||||||
\(374\) | −6.49645 | + | 11.2522i | −0.335924 | + | 0.581837i | ||||
\(375\) | −1.98693 | − | 19.4732i | −0.102605 | − | 1.00559i | ||||
\(376\) | −0.490498 | + | 0.283189i | −0.0252955 | + | 0.0146044i | ||||
\(377\) | −5.08623 | −0.261954 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.79714 | 0.143679 | 0.0718396 | − | 0.997416i | \(-0.477113\pi\) | ||||
0.0718396 | + | 0.997416i | \(0.477113\pi\) | |||||||
\(380\) | −5.00069 | + | 2.88715i | −0.256530 | + | 0.148108i | ||||
\(381\) | −1.11140 | − | 10.8925i | −0.0569388 | − | 0.558037i | ||||
\(382\) | 3.28544 | − | 5.69056i | 0.168098 | − | 0.291154i | ||||
\(383\) | 3.48458 | 0.178054 | 0.0890268 | − | 0.996029i | \(-0.471624\pi\) | ||||
0.0890268 | + | 0.996029i | \(0.471624\pi\) | |||||||
\(384\) | −11.3817 | − | 15.7660i | −0.580819 | − | 0.804557i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 10.3503i | 0.526817i | ||||||||
\(387\) | 3.70396 | − | 11.1683i | 0.188283 | − | 0.567716i | ||||
\(388\) | 10.0084 | − | 5.77835i | 0.508100 | − | 0.293352i | ||||
\(389\) | 7.35563i | 0.372945i | 0.982460 | + | 0.186473i | \(0.0597056\pi\) | ||||
−0.982460 | + | 0.186473i | \(0.940294\pi\) | |||||||
\(390\) | −4.03940 | − | 1.81318i | −0.204543 | − | 0.0918138i | ||||
\(391\) | −12.2701 | + | 7.08414i | −0.620525 | + | 0.358260i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.99312 | − | 29.3346i | −0.150983 | − | 1.47973i | ||||
\(394\) | −1.23924 | − | 2.14642i | −0.0624319 | − | 0.108135i | ||||
\(395\) | −5.51394 | − | 9.55042i | −0.277436 | − | 0.480534i | ||||
\(396\) | 15.3447 | + | 5.08907i | 0.771101 | + | 0.255736i | ||||
\(397\) | −16.7002 | − | 9.64189i | −0.838161 | − | 0.483912i | 0.0184778 | − | 0.999829i | \(-0.494118\pi\) |
−0.856639 | + | 0.515917i | \(0.827451\pi\) | |||||||
\(398\) | 4.87717 | − | 8.44751i | 0.244470 | − | 0.423435i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.0945538 | + | 0.163772i | 0.00472769 | + | 0.00818860i | ||||
\(401\) | 11.0918i | 0.553897i | 0.960885 | + | 0.276949i | \(0.0893232\pi\) | ||||
−0.960885 | + | 0.276949i | \(0.910677\pi\) | |||||||
\(402\) | −8.83051 | + | 0.901012i | −0.440426 | + | 0.0449384i | ||||
\(403\) | 19.3214 | 0.962468 | ||||||||
\(404\) | −3.70733 | + | 6.42128i | −0.184446 | + | 0.319471i | ||||
\(405\) | −18.2760 | + | 7.87235i | −0.908144 | + | 0.391180i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −4.99381 | − | 2.88318i | −0.247534 | − | 0.142914i | ||||
\(408\) | 13.9320 | + | 19.2987i | 0.689736 | + | 0.955430i | ||||
\(409\) | −17.5597 | − | 10.1381i | −0.868274 | − | 0.501298i | −0.00149954 | − | 0.999999i | \(-0.500477\pi\) |
−0.866774 | + | 0.498701i | \(0.833811\pi\) | |||||||
\(410\) | 1.11814 | + | 0.645560i | 0.0552211 | + | 0.0318819i | ||||
\(411\) | −10.7955 | + | 1.10151i | −0.532505 | + | 0.0543336i | ||||
\(412\) | 8.58450 | + | 4.95626i | 0.422928 | + | 0.244178i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −3.03637 | − | 3.41372i | −0.149230 | − | 0.167775i | ||||
\(415\) | 9.47524 | − | 16.4116i | 0.465121 | − | 0.805614i | ||||
\(416\) | 10.2625 | 0.503159 | ||||||||
\(417\) | −7.79054 | − | 10.7915i | −0.381504 | − | 0.528464i | ||||
\(418\) | − | 3.57895i | − | 0.175052i | ||||||
\(419\) | −5.54936 | − | 9.61177i | −0.271104 | − | 0.469566i | 0.698041 | − | 0.716058i | \(-0.254055\pi\) |
−0.969145 | + | 0.246492i | \(0.920722\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.59269 | − | 7.95478i | 0.223834 | − | 0.387692i | −0.732135 | − | 0.681160i | \(-0.761476\pi\) |
0.955969 | + | 0.293467i | \(0.0948092\pi\) | |||||||
\(422\) | 13.2822 | + | 7.66849i | 0.646568 | + | 0.373296i | ||||
\(423\) | −0.490498 | − | 0.551454i | −0.0238488 | − | 0.0268126i | ||||
\(424\) | 9.06615 | + | 15.7030i | 0.440291 | + | 0.762607i | ||||
\(425\) | −0.332068 | − | 0.575159i | −0.0161077 | − | 0.0278993i | ||||
\(426\) | −10.9692 | + | 7.91878i | −0.531459 | + | 0.383666i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 2.04875 | − | 1.18285i | 0.0990302 | − | 0.0571751i | ||||
\(429\) | −8.58582 | + | 6.19820i | −0.414527 | + | 0.299252i | ||||
\(430\) | − | 5.56391i | − | 0.268315i | ||||||
\(431\) | 13.0858 | − | 7.55510i | 0.630322 | − | 0.363916i | −0.150555 | − | 0.988602i | \(-0.548106\pi\) |
0.780877 | + | 0.624685i | \(0.214773\pi\) | |||||||
\(432\) | 5.96901 | − | 6.50898i | 0.287184 | − | 0.313163i | ||||
\(433\) | − | 3.33578i | − | 0.160307i | −0.996783 | − | 0.0801537i | \(-0.974459\pi\) | ||
0.996783 | − | 0.0801537i | \(-0.0255411\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.42649 | + | 9.86132i | −0.212234 | + | 0.472814i | ||||
\(436\) | −6.96796 | −0.333705 | ||||||||
\(437\) | 1.95135 | − | 3.37984i | 0.0933458 | − | 0.161680i | ||||
\(438\) | 0.431988 | + | 0.193908i | 0.0206412 | + | 0.00926529i | ||||
\(439\) | −5.91032 | + | 3.41233i | −0.282084 | + | 0.162861i | −0.634367 | − | 0.773032i | \(-0.718739\pi\) |
0.352282 | + | 0.935894i | \(0.385406\pi\) | |||||||
\(440\) | 17.2703 | 0.823327 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.90112 | −0.328253 | ||||||||
\(443\) | −9.77747 | + | 5.64503i | −0.464542 | + | 0.268203i | −0.713952 | − | 0.700195i | \(-0.753097\pi\) |
0.249410 | + | 0.968398i | \(0.419763\pi\) | |||||||
\(444\) | −3.79121 | + | 2.73692i | −0.179923 | + | 0.129888i | ||||
\(445\) | 11.6476 | − | 20.1743i | 0.552151 | − | 0.956354i | ||||
\(446\) | −12.3127 | −0.583022 | ||||||||
\(447\) | 26.6008 | − | 2.71419i | 1.25818 | − | 0.128377i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 24.8554i | − | 1.17300i | −0.809950 | − | 0.586498i | \(-0.800506\pi\) | ||
0.809950 | − | 0.586498i | \(-0.199494\pi\) | |||||||
\(450\) | 0.160018 | − | 0.142330i | 0.00754331 | − | 0.00670949i | ||||
\(451\) | 2.67417 | − | 1.54394i | 0.125922 | − | 0.0727011i | ||||
\(452\) | − | 27.2845i | − | 1.28335i | ||||||
\(453\) | −2.05480 | − | 20.1384i | −0.0965427 | − | 0.946182i | ||||
\(454\) | −4.81849 | + | 2.78195i | −0.226143 | + | 0.130564i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −5.98143 | − | 2.68491i | −0.280106 | − | 0.125732i | ||||
\(457\) | 6.30470 | + | 10.9201i | 0.294922 | + | 0.510819i | 0.974967 | − | 0.222351i | \(-0.0713732\pi\) |
−0.680045 | + | 0.733170i | \(0.738040\pi\) | |||||||
\(458\) | 4.60942 | + | 7.98375i | 0.215384 | + | 0.373056i | ||||
\(459\) | −20.9629 | + | 22.8592i | −0.978463 | + | 1.06698i | ||||
\(460\) | 7.21928 | + | 4.16805i | 0.336601 | + | 0.194336i | ||||
\(461\) | 14.4031 | − | 24.9470i | 0.670821 | − | 1.16190i | −0.306851 | − | 0.951758i | \(-0.599275\pi\) |
0.977672 | − | 0.210138i | \(-0.0673913\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.5858 | − | 21.7993i | −0.584912 | − | 1.01310i | −0.994886 | − | 0.101001i | \(-0.967796\pi\) |
0.409974 | − | 0.912097i | \(-0.365538\pi\) | |||||||
\(464\) | − | 4.79722i | − | 0.222705i | ||||||
\(465\) | 16.8152 | − | 37.4609i | 0.779786 | − | 1.73721i | ||||
\(466\) | −19.0655 | −0.883191 | ||||||||
\(467\) | −12.7975 | + | 22.1660i | −0.592199 | + | 1.02572i | 0.401736 | + | 0.915755i | \(0.368407\pi\) |
−0.993936 | + | 0.109964i | \(0.964927\pi\) | |||||||
\(468\) | 1.73424 | + | 8.40986i | 0.0801651 | + | 0.388746i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −0.302231 | − | 0.174493i | −0.0139409 | − | 0.00804877i | ||||
\(471\) | 4.04256 | − | 9.00602i | 0.186272 | − | 0.414976i | ||||
\(472\) | −21.4970 | − | 12.4113i | −0.989479 | − | 0.571276i | ||||
\(473\) | −11.5240 | − | 6.65338i | −0.529874 | − | 0.305923i | ||||
\(474\) | 2.26973 | − | 5.05651i | 0.104252 | − | 0.232253i | ||||
\(475\) | 0.158430 | + | 0.0914695i | 0.00726926 | + | 0.00419691i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −17.6545 | + | 15.7030i | −0.808345 | + | 0.718993i | ||||
\(478\) | −5.07853 | + | 8.79628i | −0.232287 | + | 0.402332i | ||||
\(479\) | 0.535498 | 0.0244675 | 0.0122338 | − | 0.999925i | \(-0.496106\pi\) | ||||
0.0122338 | + | 0.999925i | \(0.496106\pi\) | |||||||
\(480\) | 8.93130 | − | 19.8971i | 0.407656 | − | 0.908176i | ||||
\(481\) | − | 3.06277i | − | 0.139650i | ||||||
\(482\) | 1.61123 | + | 2.79073i | 0.0733896 | + | 0.127114i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.405446 | − | 0.702253i | 0.0184294 | − | 0.0319206i | ||||
\(485\) | 13.9320 | + | 8.04364i | 0.632619 | + | 0.365243i | ||||
\(486\) | −8.58450 | − | 5.13166i | −0.389401 | − | 0.232777i | ||||
\(487\) | −17.0662 | − | 29.5594i | −0.773341 | − | 1.33947i | −0.935722 | − | 0.352738i | \(-0.885251\pi\) |
0.162381 | − | 0.986728i | \(-0.448083\pi\) | |||||||
\(488\) | −1.63297 | − | 2.82839i | −0.0739211 | − | 0.128035i | ||||
\(489\) | −16.1337 | − | 7.24198i | −0.729590 | − | 0.327493i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 5.86948 | − | 3.38874i | 0.264886 | − | 0.152932i | −0.361675 | − | 0.932304i | \(-0.617795\pi\) |
0.626561 | + | 0.779372i | \(0.284462\pi\) | |||||||
\(492\) | −0.254166 | − | 2.49100i | −0.0114587 | − | 0.112303i | ||||
\(493\) | 16.8476i | 0.758778i | ||||||||
\(494\) | 1.64626 | − | 0.950469i | 0.0740688 | − | 0.0427636i | ||||
\(495\) | 4.54510 | + | 22.0406i | 0.204287 | + | 0.990652i | ||||
\(496\) | 18.2235i | 0.818260i | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 9.47524 | − | 0.966796i | 0.424596 | − | 0.0433232i | ||||
\(499\) | 8.60074 | 0.385022 | 0.192511 | − | 0.981295i | \(-0.438337\pi\) | ||||
0.192511 | + | 0.981295i | \(0.438337\pi\) | |||||||
\(500\) | −8.97525 | + | 15.5456i | −0.401385 | + | 0.695220i | ||||
\(501\) | 5.07420 | − | 3.66312i | 0.226699 | − | 0.163656i | ||||
\(502\) | −4.05460 | + | 2.34093i | −0.180966 | + | 0.104481i | ||||
\(503\) | −2.96518 | −0.132211 | −0.0661055 | − | 0.997813i | \(-0.521057\pi\) | ||||
−0.0661055 | + | 0.997813i | \(0.521057\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.3214 | −0.459297 | ||||||||
\(506\) | −4.47455 | + | 2.58338i | −0.198918 | + | 0.114845i | ||||
\(507\) | 15.4108 | + | 6.91752i | 0.684420 | + | 0.307218i | ||||
\(508\) | −5.02035 | + | 8.69551i | −0.222742 | + | 0.385801i | ||||
\(509\) | 6.09765 | 0.270273 | 0.135137 | − | 0.990827i | \(-0.456853\pi\) | ||||
0.135137 | + | 0.990827i | \(0.456853\pi\) | |||||||
\(510\) | −6.00596 | + | 13.3801i | −0.265948 | + | 0.592479i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 17.5053i | 0.773631i | ||||||||
\(513\) | 1.85236 | − | 8.34021i | 0.0817838 | − | 0.368229i | ||||
\(514\) | 4.44947 | − | 2.56890i | 0.196258 | − | 0.113309i | ||||
\(515\) | 13.7985i | 0.608035i | ||||||||
\(516\) | −8.74880 | + | 6.31586i | −0.385145 | + | 0.278040i | ||||
\(517\) | −0.722823 | + | 0.417322i | −0.0317897 | + | 0.0183538i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 25.3893 | − | 18.3289i | 1.11447 | − | 0.804548i | ||||
\(520\) | 4.58650 | + | 7.94406i | 0.201132 | + | 0.348370i | ||||
\(521\) | 16.3464 | + | 28.3128i | 0.716150 | + | 1.24041i | 0.962514 | + | 0.271231i | \(0.0874307\pi\) |
−0.246364 | + | 0.969177i | \(0.579236\pi\) | |||||||
\(522\) | −5.32072 | + | 1.09721i | −0.232882 | + | 0.0480237i | ||||
\(523\) | −1.73424 | − | 1.00126i | −0.0758329 | − | 0.0437821i | 0.461604 | − | 0.887086i | \(-0.347274\pi\) |
−0.537437 | + | 0.843304i | \(0.680607\pi\) | |||||||
\(524\) | −13.5204 | + | 23.4179i | −0.590639 | + | 1.02302i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.03961 | + | 8.72886i | 0.219737 | + | 0.380596i | ||||
\(527\) | − | 64.0001i | − | 2.78789i | ||||||
\(528\) | −5.84600 | − | 8.09795i | −0.254415 | − | 0.352418i | ||||
\(529\) | 17.3658 | 0.755036 | ||||||||
\(530\) | −5.58631 | + | 9.67577i | −0.242654 | + | 0.420289i | ||||
\(531\) | 10.1820 | − | 30.7012i | 0.441863 | − | 1.33232i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.42037 | + | 0.820053i | 0.0615232 | + | 0.0355204i | ||||
\(534\) | 11.6476 | − | 1.18845i | 0.504043 | − | 0.0514295i | ||||
\(535\) | 2.85192 | + | 1.64656i | 0.123299 | + | 0.0711870i | ||||
\(536\) | 15.9258 | + | 9.19476i | 0.687890 | + | 0.397153i | ||||
\(537\) | 5.10144 | + | 7.06658i | 0.220144 | + | 0.304945i | ||||
\(538\) | −5.82990 | − | 3.36589i | −0.251345 | − | 0.145114i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 17.8145 | + | 3.95661i | 0.766615 | + | 0.170265i | ||||
\(541\) | 5.72253 | − | 9.91171i | 0.246031 | − | 0.426138i | −0.716390 | − | 0.697700i | \(-0.754207\pi\) |
0.962421 | + | 0.271562i | \(0.0875403\pi\) | |||||||
\(542\) | 14.2777 | 0.613280 | ||||||||
\(543\) | 23.3640 | − | 2.38392i | 1.00264 | − | 0.102304i | ||||
\(544\) | − | 33.9933i | − | 1.45745i | ||||||
\(545\) | −4.84980 | − | 8.40010i | −0.207743 | − | 0.359821i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.91961 | + | 6.78896i | −0.167590 | + | 0.290275i | −0.937572 | − | 0.347791i | \(-0.886932\pi\) |
0.769982 | + | 0.638066i | \(0.220265\pi\) | |||||||
\(548\) | 8.61814 | + | 4.97569i | 0.368149 | + | 0.212551i | ||||
\(549\) | 3.17988 | − | 2.82839i | 0.135714 | − | 0.120713i | ||||
\(550\) | −0.121096 | − | 0.209744i | −0.00516355 | − | 0.00894353i | ||||
\(551\) | −2.32037 | − | 4.01899i | −0.0988510 | − | 0.171215i | ||||
\(552\) | 0.960781 | + | 9.41628i | 0.0408935 | + | 0.400784i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −12.6963 | + | 7.33022i | −0.539415 | + | 0.311431i | ||||
\(555\) | −5.93818 | − | 2.66549i | −0.252062 | − | 0.113144i | ||||
\(556\) | 12.2056i | 0.517634i | ||||||||
\(557\) | −0.0116910 | + | 0.00674980i | −0.000495364 | + | 0.000285998i | −0.500248 | − | 0.865882i | \(-0.666758\pi\) |
0.499752 | + | 0.866168i | \(0.333424\pi\) | |||||||
\(558\) | 20.2122 | − | 4.16805i | 0.855650 | − | 0.176448i | ||||
\(559\) | − | 7.06782i | − | 0.298937i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 20.5309 | + | 28.4396i | 0.866814 | + | 1.20072i | ||||
\(562\) | 0.589741 | 0.0248767 | ||||||||
\(563\) | −9.54528 | + | 16.5329i | −0.402286 | + | 0.696779i | −0.994001 | − | 0.109368i | \(-0.965117\pi\) |
0.591716 | + | 0.806147i | \(0.298451\pi\) | |||||||
\(564\) | 0.0687005 | + | 0.673310i | 0.00289281 | + | 0.0283515i | ||||
\(565\) | 32.8923 | − | 18.9904i | 1.38379 | − | 0.798932i | ||||
\(566\) | 14.1925 | 0.596557 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 28.0283 | 1.17604 | ||||||||
\(569\) | −32.3406 | + | 18.6719i | −1.35579 | + | 0.782765i | −0.989053 | − | 0.147561i | \(-0.952858\pi\) |
−0.366735 | + | 0.930325i | \(0.619525\pi\) | |||||||
\(570\) | −0.410074 | − | 4.01899i | −0.0171761 | − | 0.168337i | ||||
\(571\) | −22.6421 | + | 39.2173i | −0.947544 | + | 1.64119i | −0.196968 | + | 0.980410i | \(0.563110\pi\) |
−0.750576 | + | 0.660784i | \(0.770224\pi\) | |||||||
\(572\) | 9.71086 | 0.406032 | ||||||||
\(573\) | −10.3831 | − | 14.3827i | −0.433758 | − | 0.600847i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 0.264101i | − | 0.0110138i | ||||||
\(576\) | 0.747976 | − | 0.154244i | 0.0311657 | − | 0.00642683i | ||||
\(577\) | −32.1285 | + | 18.5494i | −1.33753 | + | 0.772221i | −0.986440 | − | 0.164123i | \(-0.947521\pi\) |
−0.351086 | + | 0.936343i | \(0.614187\pi\) | |||||||
\(578\) | 11.9522i | 0.497146i | ||||||||
\(579\) | 25.4916 | + | 11.4425i | 1.05940 | + | 0.475535i | ||||
\(580\) | 8.58450 | − | 4.95626i | 0.356452 | − | 0.205798i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0.820724 | + | 8.04364i | 0.0340201 | + | 0.333419i | ||||
\(583\) | 13.3603 | + | 23.1408i | 0.553329 | + | 0.958393i | ||||
\(584\) | −0.490498 | − | 0.849568i | −0.0202970 | − | 0.0351554i | ||||
\(585\) | −8.93130 | + | 7.94406i | −0.369264 | + | 0.328446i | ||||
\(586\) | 16.2532 | + | 9.38380i | 0.671414 | + | 0.387641i | ||||
\(587\) | −17.0612 | + | 29.5509i | −0.704191 | + | 1.21969i | 0.262792 | + | 0.964853i | \(0.415357\pi\) |
−0.966983 | + | 0.254842i | \(0.917977\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 8.81453 | + | 15.2672i | 0.363197 | + | 0.629075i | ||||
\(590\) | − | 15.2950i | − | 0.629684i | ||||||
\(591\) | −6.65641 | + | 0.679179i | −0.273808 | + | 0.0279377i | ||||
\(592\) | 2.88874 | 0.118726 | ||||||||
\(593\) | −9.84997 | + | 17.0607i | −0.404490 | + | 0.700597i | −0.994262 | − | 0.106973i | \(-0.965884\pi\) |
0.589772 | + | 0.807570i | \(0.299218\pi\) | |||||||
\(594\) | −7.64456 | + | 8.33610i | −0.313660 | + | 0.342034i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −21.2356 | − | 12.2604i | −0.869844 | − | 0.502205i | ||||
\(597\) | −15.4134 | − | 21.3508i | −0.630829 | − | 0.873832i | ||||
\(598\) | −2.37663 | − | 1.37215i | −0.0971878 | − | 0.0561114i | ||||
\(599\) | 9.74033 | + | 5.62358i | 0.397979 | + | 0.229773i | 0.685612 | − | 0.727967i | \(-0.259535\pi\) |
−0.287632 | + | 0.957741i | \(0.592868\pi\) | |||||||
\(600\) | −0.441388 | + | 0.0450365i | −0.0180196 | + | 0.00183861i | ||||
\(601\) | 29.7646 | + | 17.1846i | 1.21412 | + | 0.700975i | 0.963655 | − | 0.267150i | \(-0.0860818\pi\) |
0.250469 | + | 0.968125i | \(0.419415\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −7.54325 | + | 22.7446i | −0.307185 | + | 0.926233i | ||||
\(604\) | −9.28180 | + | 16.0766i | −0.377671 | + | 0.654146i | ||||
\(605\) | 1.12879 | 0.0458917 | ||||||||
\(606\) | −3.03637 | − | 4.20602i | −0.123344 | − | 0.170858i | ||||
\(607\) | − | 39.0160i | − | 1.58361i | −0.610775 | − | 0.791804i | \(-0.709142\pi\) | ||
0.610775 | − | 0.791804i | \(-0.290858\pi\) | |||||||
\(608\) | 4.68179 | + | 8.10910i | 0.189872 | + | 0.328868i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.00619 | − | 1.74277i | 0.0407394 | − | 0.0705628i | ||||
\(611\) | −0.383923 | − | 0.221658i | −0.0155319 | − | 0.00896733i | ||||
\(612\) | 27.8567 | − | 5.74447i | 1.12604 | − | 0.232207i | ||||
\(613\) | 8.05494 | + | 13.9516i | 0.325336 | + | 0.563499i | 0.981580 | − | 0.191050i | \(-0.0611892\pi\) |
−0.656244 | + | 0.754549i | \(0.727856\pi\) | |||||||
\(614\) | −4.76222 | − | 8.24840i | −0.192187 | − | 0.332878i | ||||
\(615\) | 2.82607 | − | 2.04018i | 0.113958 | − | 0.0822678i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 7.03569 | − | 4.06205i | 0.283246 | − | 0.163532i | −0.351646 | − | 0.936133i | \(-0.614378\pi\) |
0.634892 | + | 0.772601i | \(0.281045\pi\) | |||||||
\(618\) | −5.62296 | + | 4.05928i | −0.226188 | + | 0.163288i | ||||
\(619\) | − | 37.4144i | − | 1.50381i | −0.659270 | − | 0.751906i | \(-0.729134\pi\) | ||
0.659270 | − | 0.751906i | \(-0.270866\pi\) | |||||||
\(620\) | −32.6105 | + | 18.8277i | −1.30967 | + | 0.756138i | ||||
\(621\) | −11.7644 | + | 3.70430i | −0.472088 | + | 0.148648i | ||||
\(622\) | − | 12.4340i | − | 0.498559i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 2.17240 | − | 4.83967i | 0.0869655 | − | 0.193742i | ||||
\(625\) | −24.4313 | −0.977252 | ||||||||
\(626\) | −4.68985 | + | 8.12305i | −0.187444 | + | 0.324662i | ||||
\(627\) | −8.81453 | − | 3.95661i | −0.352019 | − | 0.158012i | ||||
\(628\) | −7.83994 | + | 4.52639i | −0.312848 | + | 0.180623i | ||||
\(629\) | −10.1451 | −0.404511 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −19.8268 | −0.789294 | −0.394647 | − | 0.918833i | \(-0.629133\pi\) | ||||
−0.394647 | + | 0.918833i | \(0.629133\pi\) | |||||||
\(632\) | −9.94437 | + | 5.74138i | −0.395566 | + | 0.228380i | ||||
\(633\) | 33.5704 | − | 24.2349i | 1.33430 | − | 0.963249i | ||||
\(634\) | 5.44692 | − | 9.43434i | 0.216325 | − | 0.374685i | ||||
\(635\) | −13.9770 | −0.554658 | ||||||||
\(636\) | 21.5557 | − | 2.19941i | 0.854738 | − | 0.0872123i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 6.14384i | 0.243237i | ||||||||
\(639\) | 7.37636 | + | 35.7703i | 0.291804 | + | 1.41505i | ||||
\(640\) | −21.4970 | + | 12.4113i | −0.849743 | + | 0.490599i | ||||
\(641\) | 9.25896i | 0.365707i | 0.983140 | + | 0.182853i | \(0.0585334\pi\) | ||||
−0.983140 | + | 0.182853i | \(0.941467\pi\) | |||||||
\(642\) | 0.168005 | + | 1.64656i | 0.00663063 | + | 0.0649845i | ||||
\(643\) | 36.3456 | − | 20.9841i | 1.43333 | − | 0.827534i | 0.435958 | − | 0.899967i | \(-0.356410\pi\) |
0.997373 | + | 0.0724332i | \(0.0230764\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −13.7033 | − | 6.15103i | −0.539566 | − | 0.242197i | ||||
\(646\) | −3.14833 | − | 5.45306i | −0.123869 | − | 0.214548i | ||||
\(647\) | −3.14293 | − | 5.44372i | −0.123561 | − | 0.214015i | 0.797608 | − | 0.603176i | \(-0.206098\pi\) |
−0.921170 | + | 0.389161i | \(0.872765\pi\) | |||||||
\(648\) | 8.19708 | + | 19.0299i | 0.322012 | + | 0.747566i | ||||
\(649\) | −31.6790 | − | 18.2899i | −1.24351 | − | 0.717941i | ||||
\(650\) | 0.0643195 | − | 0.111405i | 0.00252282 | − | 0.00436965i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 8.10872 | + | 14.0447i | 0.317562 | + | 0.550033i | ||||
\(653\) | 23.2866i | 0.911277i | 0.890165 | + | 0.455638i | \(0.150589\pi\) | ||||
−0.890165 | + | 0.455638i | \(0.849411\pi\) | |||||||
\(654\) | 1.99635 | − | 4.44747i | 0.0780635 | − | 0.173910i | ||||
\(655\) | −37.6414 | −1.47077 | ||||||||
\(656\) | −0.773456 | + | 1.33966i | −0.0301984 | + | 0.0523051i | ||||
\(657\) | 0.955147 | − | 0.849568i | 0.0372638 | − | 0.0331448i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 25.8880 | + | 14.9464i | 1.00845 | + | 0.582230i | 0.910738 | − | 0.412984i | \(-0.135514\pi\) |
0.0977141 | + | 0.995215i | \(0.468847\pi\) | |||||||
\(660\) | 8.45125 | − | 18.8277i | 0.328964 | − | 0.732866i | ||||
\(661\) | −17.6184 | − | 10.1720i | −0.685278 | − | 0.395645i | 0.116563 | − | 0.993183i | \(-0.462812\pi\) |
−0.801841 | + | 0.597538i | \(0.796146\pi\) | |||||||
\(662\) | −11.0549 | − | 6.38253i | −0.429660 | − | 0.248064i | ||||
\(663\) | −7.62935 | + | 16.9967i | −0.296299 | + | 0.660096i | ||||
\(664\) | −17.0886 | − | 9.86609i | −0.663165 | − | 0.382879i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.660706 | − | 3.20397i | −0.0256019 | − | 0.124151i | ||||
\(667\) | −3.34981 | + | 5.80205i | −0.129705 | + | 0.224656i | ||||
\(668\) | −5.73910 | −0.222053 | ||||||||
\(669\) | −13.6120 | + | 30.3247i | −0.526269 | + | 1.17242i | ||||
\(670\) | 11.3311i | 0.437759i | ||||||||
\(671\) | −2.40643 | − | 4.16805i | −0.0928990 | − | 0.160906i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.55996 | + | 14.8263i | −0.329962 | + | 0.571511i | −0.982504 | − | 0.186241i | \(-0.940369\pi\) |
0.652542 | + | 0.757753i | \(0.273703\pi\) | |||||||
\(674\) | 0.544706 | + | 0.314486i | 0.0209813 | + | 0.0121136i | ||||
\(675\) | −0.173639 | − | 0.551454i | −0.00668335 | − | 0.0212255i | ||||
\(676\) | −7.74543 | − | 13.4155i | −0.297901 | − | 0.515980i | ||||
\(677\) | 14.2078 | + | 24.6085i | 0.546048 | + | 0.945783i | 0.998540 | + | 0.0540148i | \(0.0172018\pi\) |
−0.452492 | + | 0.891769i | \(0.649465\pi\) | |||||||
\(678\) | 17.4150 | + | 7.81713i | 0.668819 | + | 0.300215i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 26.3138 | − | 15.1923i | 1.00909 | − | 0.582598i | ||||
\(681\) | 1.52468 | + | 14.9429i | 0.0584260 | + | 0.572613i | ||||
\(682\) | − | 23.3390i | − | 0.893697i | ||||||
\(683\) | 18.1236 | − | 10.4637i | 0.693482 | − | 0.400382i | −0.111433 | − | 0.993772i | \(-0.535544\pi\) |
0.804915 | + | 0.593390i | \(0.202211\pi\) | |||||||
\(684\) | −5.85406 | + | 5.20697i | −0.223835 | + | 0.199093i | ||||
\(685\) | 13.8526i | 0.529281i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 24.7589 | − | 2.52625i | 0.944611 | − | 0.0963824i | ||||
\(688\) | 6.66621 | 0.254147 | ||||||||
\(689\) | −7.09627 | + | 12.2911i | −0.270346 | + | 0.468254i | ||||
\(690\) | −4.72872 | + | 3.41372i | −0.180019 | + | 0.129958i | ||||
\(691\) | 20.7918 | − | 12.0041i | 0.790957 | − | 0.456659i | −0.0493424 | − | 0.998782i | \(-0.515713\pi\) |
0.840299 | + | 0.542123i | \(0.182379\pi\) | |||||||
\(692\) | −28.7163 | −1.09163 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −13.6094 | −0.516606 | ||||||||
\(695\) | −14.7143 | + | 8.49529i | −0.558144 | + | 0.322245i | ||||
\(696\) | 10.2681 | + | 4.60908i | 0.389211 | + | 0.174707i | ||||
\(697\) | 2.71634 | − | 4.70484i | 0.102889 | − | 0.178208i | ||||
\(698\) | 6.44493 | 0.243944 | ||||||||
\(699\) | −21.0773 | + | 46.9561i | −0.797218 | + | 1.77604i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 42.0117i | 1.58676i | 0.608728 | + | 0.793379i | \(0.291680\pi\) | ||||
−0.608728 | + | 0.793379i | \(0.708320\pi\) | |||||||
\(702\) | −5.86467 | − | 1.30254i | −0.221348 | − | 0.0491613i | ||||
\(703\) | 2.42011 | − | 1.39725i | 0.0912762 | − | 0.0526984i | ||||
\(704\) | − | 0.863689i | − | 0.0325515i | ||||||
\(705\) | −0.763881 | + | 0.551454i | −0.0287694 | + | 0.0207690i | ||||
\(706\) | −1.52607 | + | 0.881077i | −0.0574344 | + | 0.0331598i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −24.0501 | + | 17.3621i | −0.903859 | + | 0.652506i | ||||
\(709\) | −18.6094 | − | 32.2324i | −0.698891 | − | 1.21051i | −0.968851 | − | 0.247643i | \(-0.920344\pi\) |
0.269960 | − | 0.962871i | \(-0.412989\pi\) | |||||||
\(710\) | 8.63513 | + | 14.9565i | 0.324071 | + | 0.561307i | ||||
\(711\) | −9.94437 | − | 11.1802i | −0.372943 | − | 0.419290i | ||||
\(712\) | −21.0065 | − | 12.1281i | −0.787251 | − | 0.454520i | ||||
\(713\) | 12.7252 | − | 22.0406i | 0.476561 | − | 0.825428i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.75890 | + | 11.7068i | 0.252769 | + | 0.437808i | ||||
\(716\) | − | 7.99255i | − | 0.298696i | ||||||
\(717\) | 16.0498 | + | 22.2323i | 0.599390 | + | 0.830282i | ||||
\(718\) | 6.41673 | 0.239470 | ||||||||
\(719\) | −9.14889 | + | 15.8463i | −0.341196 | + | 0.590969i | −0.984655 | − | 0.174512i | \(-0.944165\pi\) |
0.643459 | + | 0.765481i | \(0.277499\pi\) | |||||||
\(720\) | −7.49266 | − | 8.42380i | −0.279235 | − | 0.313937i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −9.05494 | − | 5.22787i | −0.336990 | − | 0.194561i | ||||
\(723\) | 8.65452 | − | 0.883054i | 0.321865 | − | 0.0328411i | ||||
\(724\) | −18.6516 | − | 10.7685i | −0.693181 | − | 0.400208i | ||||
\(725\) | −0.271971 | − | 0.157022i | −0.0101007 | − | 0.00583166i | ||||
\(726\) | 0.332068 | + | 0.459985i | 0.0123242 | + | 0.0170716i | ||||
\(727\) | −28.3214 | − | 16.3514i | −1.05038 | − | 0.606439i | −0.127626 | − | 0.991822i | \(-0.540736\pi\) |
−0.922756 | + | 0.385384i | \(0.874069\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −22.1291 | + | 15.4695i | −0.819595 | + | 0.572943i | ||||
\(730\) | 0.302231 | − | 0.523480i | 0.0111861 | − | 0.0193749i | ||||
\(731\) | −23.4114 | −0.865901 | ||||||||
\(732\) | −3.88255 | + | 0.396151i | −0.143503 | + | 0.0146422i | ||||
\(733\) | 0.498614i | 0.0184167i | 0.999958 | + | 0.00920836i | \(0.00293115\pi\) | ||||
−0.999958 | + | 0.00920836i | \(0.997069\pi\) | |||||||
\(734\) | 1.86529 | + | 3.23078i | 0.0688493 | + | 0.119250i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.75890 | − | 11.7068i | 0.249136 | − | 0.431517i | ||||
\(737\) | 23.4691 | + | 13.5499i | 0.864494 | + | 0.499116i | ||||
\(738\) | 1.66276 | + | 0.551454i | 0.0612071 | + | 0.0202993i | ||||
\(739\) | 23.8523 | + | 41.3134i | 0.877421 | + | 1.51974i | 0.854162 | + | 0.520007i | \(0.174071\pi\) |
0.0232588 | + | 0.999729i | \(0.492596\pi\) | |||||||
\(740\) | 2.98450 | + | 5.16931i | 0.109713 | + | 0.190028i | ||||
\(741\) | −0.520916 | − | 5.10532i | −0.0191363 | − | 0.187549i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 9.20534 | − | 5.31470i | 0.337711 | − | 0.194978i | −0.321548 | − | 0.946893i | \(-0.604203\pi\) |
0.659259 | + | 0.751916i | \(0.270870\pi\) | |||||||
\(744\) | −39.0061 | − | 17.5088i | −1.43003 | − | 0.641904i | ||||
\(745\) | − | 34.1336i | − | 1.25056i | ||||||
\(746\) | −8.62296 | + | 4.97847i | −0.315709 | + | 0.182275i | ||||
\(747\) | 8.09400 | − | 24.4053i | 0.296144 | − | 0.892942i | ||||
\(748\) | − | 32.1662i | − | 1.17611i | ||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −7.35091 | − | 10.1826i | −0.268417 | − | 0.371815i | ||||
\(751\) | 19.1185 | 0.697646 | 0.348823 | − | 0.937189i | \(-0.386581\pi\) | ||||
0.348823 | + | 0.937189i | \(0.386581\pi\) | |||||||
\(752\) | 0.209063 | − | 0.362108i | 0.00762375 | − | 0.0132047i | ||||
\(753\) | 1.28297 | + | 12.5740i | 0.0467541 | + | 0.458221i | ||||
\(754\) | −2.82607 | + | 1.63164i | −0.102920 | + | 0.0594206i | ||||
\(755\) | −25.8411 | −0.940453 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 28.5388 | 1.03726 | 0.518631 | − | 0.854998i | \(-0.326442\pi\) | ||||
0.518631 | + | 0.854998i | \(0.326442\pi\) | |||||||
\(758\) | 1.55418 | − | 0.897305i | 0.0564503 | − | 0.0325916i | ||||
\(759\) | 1.41585 | + | 13.8763i | 0.0513923 | + | 0.503678i | ||||
\(760\) | −4.18478 | + | 7.24825i | −0.151798 | + | 0.262922i | ||||
\(761\) | −43.3300 | −1.57071 | −0.785355 | − | 0.619045i | \(-0.787520\pi\) | ||||
−0.785355 | + | 0.619045i | \(0.787520\pi\) | |||||||
\(762\) | −4.11177 | − | 5.69567i | −0.148954 | − | 0.206332i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 16.2674i | 0.588533i | ||||||||
\(765\) | 26.3138 | + | 29.5840i | 0.951379 | + | 1.06961i | ||||
\(766\) | 1.93614 | − | 1.11783i | 0.0699557 | − | 0.0403889i | ||||
\(767\) | − | 19.4292i | − | 0.701546i | ||||||
\(768\) | −12.1862 | − | 5.47006i | −0.439732 | − | 0.197384i | ||||
\(769\) | 5.75189 | − | 3.32086i | 0.207419 | − | 0.119753i | −0.392693 | − | 0.919670i | \(-0.628456\pi\) |
0.600111 | + | 0.799917i | \(0.295123\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.40792 | − | 13.7985i | −0.0507049 | − | 0.496942i | ||||
\(772\) | −12.8120 | − | 22.1910i | −0.461113 | − | 0.798672i | ||||
\(773\) | 22.2415 | + | 38.5235i | 0.799973 | + | 1.38559i | 0.919633 | + | 0.392779i | \(0.128486\pi\) |
−0.119660 | + | 0.992815i | \(0.538181\pi\) | |||||||
\(774\) | −1.52468 | − | 7.39366i | −0.0548036 | − | 0.265760i | ||||
\(775\) | 1.03315 | + | 0.596491i | 0.0371119 | + | 0.0214266i | ||||
\(776\) | 8.37543 | − | 14.5067i | 0.300661 | − | 0.520759i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.35965 | + | 4.08703i | 0.0845974 | + | 0.146527i | ||||
\(779\) | 1.49645i | 0.0536159i | ||||||||
\(780\) | 10.9049 | − | 1.11267i | 0.390457 | − | 0.0398399i | ||||
\(781\) | 41.3039 | 1.47797 | ||||||||
\(782\) | −4.54510 | + | 7.87235i | −0.162533 | + | 0.281515i | ||||
\(783\) | −3.17988 | + | 14.3173i | −0.113640 | + | 0.511660i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −10.9134 | − | 6.30087i | −0.389517 | − | 0.224888i | ||||
\(786\) | −11.0734 | − | 15.3390i | −0.394976 | − | 0.547126i | ||||
\(787\) | 19.0399 | + | 10.9927i | 0.678700 | + | 0.391848i | 0.799365 | − | 0.600846i | \(-0.205169\pi\) |
−0.120665 | + | 0.992693i | \(0.538503\pi\) | |||||||
\(788\) | 5.31385 | + | 3.06795i | 0.189298 | + | 0.109291i | ||||
\(789\) | 27.0696 | − | 2.76202i | 0.963703 | − | 0.0983305i | ||||
\(790\) | −6.12744 | − | 3.53768i | −0.218004 | − | 0.125865i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 22.9498 | − | 4.73259i | 0.815485 | − | 0.168165i | ||||
\(793\) | 1.27816 | − | 2.21384i | 0.0453888 | − | 0.0786157i | ||||
\(794\) | −12.3722 | −0.439075 | ||||||||
\(795\) | 17.6545 | + | 24.4552i | 0.626141 | + | 0.867338i | ||||
\(796\) | 24.1486i | 0.855923i | ||||||||
\(797\) | −9.71892 | − | 16.8337i | −0.344262 | − | 0.596279i | 0.640958 | − | 0.767576i | \(-0.278537\pi\) |
−0.985219 | + | 0.171297i | \(0.945204\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.734219 | + | 1.27171i | −0.0259748 | + | 0.0449897i | ||||
\(800\) | 0.548754 | + | 0.316823i | 0.0194014 | + | 0.0112014i | ||||
\(801\) | 9.94972 | − | 30.0007i | 0.351556 | − | 1.06002i | ||||
\(802\) | 3.55818 | + | 6.16295i | 0.125644 | + | 0.217621i | ||||
\(803\) | −0.722823 | − | 1.25197i | −0.0255079 | − | 0.0441809i | ||||
\(804\) | 17.8173 | − | 12.8625i | 0.628367 | − | 0.453625i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 10.7356 | − | 6.19820i | 0.378145 | − | 0.218322i | ||||
\(807\) | −14.7349 | + | 10.6373i | −0.518693 | + | 0.374451i | ||||
\(808\) | 10.7472i | 0.378084i | ||||||||
\(809\) | −18.1916 | + | 10.5029i | −0.639582 | + | 0.369263i | −0.784453 | − | 0.620188i | \(-0.787056\pi\) |
0.144872 | + | 0.989450i | \(0.453723\pi\) | |||||||
\(810\) | −7.62935 | + | 10.2370i | −0.268068 | + | 0.359691i | ||||
\(811\) | 37.3291i | 1.31080i | 0.755281 | + | 0.655401i | \(0.227500\pi\) | ||||
−0.755281 | + | 0.655401i | \(0.772500\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 15.7844 | − | 35.1644i | 0.553581 | − | 1.23327i | ||||
\(814\) | −3.69963 | −0.129672 | ||||||||
\(815\) | −11.2876 | + | 19.5506i | −0.395386 | + | 0.684829i | ||||
\(816\) | −16.0309 | − | 7.19583i | −0.561193 | − | 0.251905i | ||||
\(817\) | 5.58478 | − | 3.22438i | 0.195387 | − | 0.112807i | ||||
\(818\) | −13.0090 | −0.454849 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −3.19639 | −0.111623 | ||||||||
\(821\) | 10.9017 | − | 6.29412i | 0.380473 | − | 0.219666i | −0.297551 | − | 0.954706i | \(-0.596170\pi\) |
0.678024 | + | 0.735040i | \(0.262837\pi\) | |||||||
\(822\) | −5.64499 | + | 4.07519i | −0.196892 | + | 0.142138i | ||||
\(823\) | 22.4189 | − | 38.8307i | 0.781474 | − | 1.35355i | −0.149608 | − | 0.988745i | \(-0.547801\pi\) |
0.931083 | − | 0.364808i | \(-0.118865\pi\) | |||||||
\(824\) | 14.3677 | 0.500523 | ||||||||
\(825\) | −0.650451 | + | 0.0663681i | −0.0226458 | + | 0.00231064i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 25.7293i | 0.894695i | 0.894360 | + | 0.447347i | \(0.147631\pi\) | ||||
−0.894360 | + | 0.447347i | \(0.852369\pi\) | |||||||
\(828\) | 10.7356 | + | 3.56046i | 0.373088 | + | 0.123735i | ||||
\(829\) | −14.6902 | + | 8.48139i | −0.510212 | + | 0.294571i | −0.732921 | − | 0.680314i | \(-0.761843\pi\) |
0.222709 | + | 0.974885i | \(0.428510\pi\) | |||||||
\(830\) | − | 12.1584i | − | 0.422025i | ||||||
\(831\) | 4.01741 | + | 39.3733i | 0.139363 | + | 1.36585i | ||||
\(832\) | 0.397284 | − | 0.229372i | 0.0137733 | − | 0.00795204i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −7.79054 | − | 3.49697i | −0.269764 | − | 0.121090i | ||||
\(835\) | −3.99450 | − | 6.91867i | −0.138235 | − | 0.239431i | ||||
\(836\) | 4.43015 | + | 7.67324i | 0.153220 | + | 0.265385i | ||||
\(837\) | 12.0796 | − | 54.3882i | 0.417533 | − | 1.87993i | ||||
\(838\) | −6.16680 | − | 3.56041i | −0.213029 | − | 0.122992i | ||||
\(839\) | −13.3539 | + | 23.1296i | −0.461027 | + | 0.798522i | −0.999012 | − | 0.0444321i | \(-0.985852\pi\) |
0.537986 | + | 0.842954i | \(0.319185\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.5167 | − | 18.2155i | −0.362645 | − | 0.628120i | ||||
\(842\) | − | 5.89324i | − | 0.203095i | ||||||
\(843\) | 0.651973 | − | 1.45247i | 0.0224552 | − | 0.0500256i | ||||
\(844\) | −37.9693 | −1.30696 | ||||||||
\(845\) | 10.7819 | − | 18.6747i | 0.370907 | − | 0.642430i | ||||
\(846\) | −0.449440 | − | 0.149057i | −0.0154521 | − | 0.00512467i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −11.5927 | − | 6.69305i | −0.398095 | − | 0.229840i | ||||
\(849\) | 15.6902 | − | 34.9546i | 0.538486 | − | 1.19964i | ||||
\(850\) | −0.369016 | − | 0.213051i | −0.0126571 | − | 0.00730760i | ||||
\(851\) | −3.49381 | − | 2.01715i | −0.119766 | − | 0.0691471i | ||||
\(852\) | 13.7157 | − | 30.5559i | 0.469893 | − | 1.04683i | ||||
\(853\) | 37.6287 | + | 21.7249i | 1.28838 | + | 0.743848i | 0.978366 | − | 0.206883i | \(-0.0663319\pi\) |
0.310017 | + | 0.950731i | \(0.399665\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −10.3517 | − | 3.43313i | −0.354020 | − | 0.117411i | ||||
\(856\) | 1.71448 | − | 2.96957i | 0.0585997 | − | 0.101498i | ||||
\(857\) | 15.6686 | 0.535229 | 0.267615 | − | 0.963526i | \(-0.413765\pi\) | ||||
0.267615 | + | 0.963526i | \(0.413765\pi\) | |||||||
\(858\) | −2.78221 | + | 6.19820i | −0.0949830 | + | 0.211603i | ||||
\(859\) | − | 20.0431i | − | 0.683862i | −0.939725 | − | 0.341931i | \(-0.888919\pi\) | ||
0.939725 | − | 0.341931i | \(-0.111081\pi\) | |||||||
\(860\) | 6.88721 | + | 11.9290i | 0.234852 | + | 0.406775i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.84727 | − | 8.39571i | 0.165099 | − | 0.285959i | ||||
\(863\) | 34.6600 | + | 20.0110i | 1.17984 | + | 0.681181i | 0.955978 | − | 0.293439i | \(-0.0947998\pi\) |
0.223863 | + | 0.974621i | \(0.428133\pi\) | |||||||
\(864\) | 6.41603 | − | 28.8880i | 0.218278 | − | 0.982790i | ||||
\(865\) | −19.9869 | − | 34.6184i | −0.679576 | − | 1.17706i | ||||
\(866\) | −1.07010 | − | 1.85347i | −0.0363635 | − | 0.0629834i | ||||
\(867\) | 29.4369 | + | 13.2134i | 0.999730 | + | 0.448752i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −14.6545 | + | 8.46079i | −0.497120 | + | 0.287013i | ||||
\(870\) | 0.703959 | + | 6.89926i | 0.0238664 | + | 0.233907i | ||||
\(871\) | 14.3939i | 0.487718i | ||||||||
\(872\) | −8.74660 | + | 5.04985i | −0.296197 | + | 0.171010i | ||||
\(873\) | 20.7179 | + | 6.87109i | 0.701194 | + | 0.232551i | ||||
\(874\) | − | 2.50393i | − | 0.0846967i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −1.16621 | + | 0.118993i | −0.0394025 | + | 0.00402039i | ||||
\(877\) | 45.2705 | 1.52868 | 0.764338 | − | 0.644815i | \(-0.223066\pi\) | ||||
0.764338 | + | 0.644815i | \(0.223066\pi\) | |||||||
\(878\) | −2.18931 | + | 3.79200i | −0.0738856 | + | 0.127974i | ||||
\(879\) | 41.0795 | − | 29.6558i | 1.38558 | − | 1.00027i | ||||
\(880\) | −11.0416 | + | 6.37485i | −0.372211 | + | 0.214896i | ||||
\(881\) | 45.3385 | 1.52749 | 0.763746 | − | 0.645517i | \(-0.223358\pi\) | ||||
0.763746 | + | 0.645517i | \(0.223358\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 12.5650 | 0.422845 | 0.211423 | − | 0.977395i | \(-0.432190\pi\) | ||||
0.211423 | + | 0.977395i | \(0.432190\pi\) | |||||||
\(884\) | 14.7960 | − | 8.54245i | 0.497642 | − | 0.287314i | ||||
\(885\) | −37.6698 | − | 16.9090i | −1.26626 | − | 0.568389i | ||||
\(886\) | −3.62178 | + | 6.27311i | −0.121676 | + | 0.210749i | ||||
\(887\) | −35.7241 | −1.19950 | −0.599748 | − | 0.800189i | \(-0.704733\pi\) | ||||
−0.599748 | + | 0.800189i | \(0.704733\pi\) | |||||||
\(888\) | −2.77544 | + | 6.18313i | −0.0931377 | + | 0.207492i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | − | 14.9460i | − | 0.500991i | ||||||
\(891\) | 12.0796 | + | 28.0434i | 0.404683 | + | 0.939491i | ||||
\(892\) | 26.3983 | − | 15.2411i | 0.883881 | − | 0.510309i | ||||
\(893\) | − | 0.404487i | − | 0.0135356i | ||||||
\(894\) | 13.9096 | − | 10.0415i | 0.465206 | − | 0.335838i | ||||
\(895\) | 9.63528 | − | 5.56293i | 0.322072 | − | 0.185948i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −6.00688 | + | 4.33643i | −0.200564 | + | 0.144789i | ||||
\(898\) | −7.97346 | − | 13.8104i | −0.266078 | − | 0.460860i | ||||
\(899\) | −15.1316 | − | 26.2087i | −0.504667 | − | 0.874108i | ||||
\(900\) | −0.166896 | + | 0.503230i | −0.00556321 | + | 0.0167743i | ||||
\(901\) | 40.7130 | + | 23.5056i | 1.35635 | + | 0.783086i | ||||
\(902\) | 0.990571 | − | 1.71572i | 0.0329824 | − | 0.0571272i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −19.7738 | − | 34.2491i | −0.657665 | − | 1.13911i | ||||
\(905\) | − | 29.9801i | − | 0.996573i | ||||||
\(906\) | −7.60198 | − | 10.5303i | −0.252559 | − | 0.349847i | ||||
\(907\) | −9.04208 | −0.300237 | −0.150119 | − | 0.988668i | \(-0.547966\pi\) | ||||
−0.150119 | + | 0.988668i | \(0.547966\pi\) | |||||||
\(908\) | 6.88721 | − | 11.9290i | 0.228560 | − | 0.395878i | ||||
\(909\) | −13.7157 | + | 2.82839i | −0.454922 | + | 0.0938117i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −35.5171 | − | 20.5058i | −1.17673 | − | 0.679388i | −0.221478 | − | 0.975165i | \(-0.571088\pi\) |
−0.955257 | + | 0.295777i | \(0.904421\pi\) | |||||||
\(912\) | 4.81522 | − | 0.491316i | 0.159448 | − | 0.0162691i | ||||
\(913\) | −25.1826 | − | 14.5392i | −0.833421 | − | 0.481176i | ||||
\(914\) | 7.00619 | + | 4.04503i | 0.231744 | + | 0.133798i | ||||
\(915\) | −3.17988 | − | 4.40481i | −0.105124 | − | 0.145618i | ||||
\(916\) | −19.7652 | − | 11.4114i | −0.653059 | − | 0.377044i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −4.31453 | + | 19.4261i | −0.142401 | + | 0.641156i | ||||
\(919\) | −5.11628 | + | 8.86166i | −0.168771 | + | 0.292319i | −0.937988 | − | 0.346668i | \(-0.887313\pi\) |
0.769217 | + | 0.638987i | \(0.220646\pi\) | |||||||
\(920\) | 12.0828 | 0.398357 | ||||||||
\(921\) | −25.5796 | + | 2.60999i | −0.842877 | + | 0.0860021i | ||||
\(922\) | − | 18.4818i | − | 0.608665i | ||||||
\(923\) | 10.9692 | + | 18.9992i | 0.361055 | + | 0.625366i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.0945538 | − | 0.163772i | 0.00310891 | − | 0.00538479i | ||||
\(926\) | −13.9862 | − | 8.07492i | −0.459614 | − | 0.265358i | ||||
\(927\) | 3.78122 | + | 18.3363i | 0.124192 | + | 0.602244i | ||||
\(928\) | −8.03706 | − | 13.9206i | −0.263830 | − | 0.456966i | ||||
\(929\) | −12.8330 | − | 22.2273i | −0.421036 | − | 0.729255i | 0.575005 | − | 0.818150i | \(-0.305000\pi\) |
−0.996041 | + | 0.0888945i | \(0.971667\pi\) | |||||||
\(930\) | −2.67417 | − | 26.2087i | −0.0876896 | − | 0.859416i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 40.8763 | − | 23.5999i | 1.33895 | − | 0.773041i | ||||
\(933\) | −30.6236 | − | 13.7461i | −1.00257 | − | 0.450027i | ||||
\(934\) | 16.4215i | 0.537328i | ||||||||
\(935\) | 38.7774 | − | 22.3881i | 1.26816 | − | 0.732170i | ||||
\(936\) | 8.27175 | + | 9.29971i | 0.270371 | + | 0.303971i | ||||
\(937\) | 15.9276i | 0.520333i | 0.965564 | + | 0.260167i | \(0.0837775\pi\) | ||||
−0.965564 | + | 0.260167i | \(0.916223\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 14.8214 | + | 20.5308i | 0.483679 | + | 0.669997i | ||||
\(940\) | 0.863976 | 0.0281798 | ||||||||
\(941\) | 19.6767 | − | 34.0810i | 0.641442 | − | 1.11101i | −0.343669 | − | 0.939091i | \(-0.611670\pi\) |
0.985111 | − | 0.171919i | \(-0.0549967\pi\) | |||||||
\(942\) | −0.642902 | − | 6.30087i | −0.0209469 | − | 0.205293i | ||||
\(943\) | 1.87093 | − | 1.08018i | 0.0609258 | − | 0.0351755i | ||||
\(944\) | 18.3252 | 0.596433 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −8.53747 | −0.277577 | ||||||||
\(947\) | −28.9086 | + | 16.6904i | −0.939403 | + | 0.542365i | −0.889773 | − | 0.456403i | \(-0.849138\pi\) |
−0.0496302 | + | 0.998768i | \(0.515804\pi\) | |||||||
\(948\) | 1.39284 | + | 13.6507i | 0.0452372 | + | 0.443354i | ||||
\(949\) | 0.383923 | − | 0.664975i | 0.0124627 | − | 0.0215860i | ||||
\(950\) | 0.117372 | 0.00380804 | ||||||||
\(951\) | −17.2140 | − | 23.8450i | −0.558202 | − | 0.773228i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 44.4622i | − | 1.44027i | −0.693832 | − | 0.720137i | \(-0.744079\pi\) | ||
0.693832 | − | 0.720137i | \(-0.255921\pi\) | |||||||
\(954\) | −4.77197 | + | 14.3886i | −0.154498 | + | 0.465847i | ||||
\(955\) | −19.6108 | + | 11.3223i | −0.634592 | + | 0.366382i | ||||
\(956\) | − | 25.1456i | − | 0.813266i | ||||||
\(957\) | 15.1316 | + | 6.79217i | 0.489135 | + | 0.219560i | ||||
\(958\) | 0.297540 | − | 0.171785i | 0.00961307 | − | 0.00555011i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −0.0989611 | − | 0.969884i | −0.00319395 | − | 0.0313029i | ||||
\(961\) | 41.9814 | + | 72.7138i | 1.35424 | + | 2.34561i | ||||
\(962\) | −0.982519 | − | 1.70177i | −0.0316777 | − | 0.0548674i | ||||
\(963\) | 4.24102 | + | 1.40653i | 0.136665 | + | 0.0453249i | ||||
\(964\) | −6.90895 | − | 3.98888i | −0.222522 | − | 0.128473i | ||||
\(965\) | 17.8347 | − | 30.8905i | 0.574118 | − | 0.994401i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −20.0556 | − | 34.7372i | −0.644943 | − | 1.11707i | −0.984315 | − | 0.176422i | \(-0.943548\pi\) |
0.339371 | − | 0.940652i | \(-0.389786\pi\) | |||||||
\(968\) | − | 1.17535i | − | 0.0377771i | ||||||
\(969\) | −16.9108 | + | 1.72548i | −0.543254 | + | 0.0554303i | ||||
\(970\) | 10.3214 | 0.331401 | ||||||||
\(971\) | 23.0013 | − | 39.8394i | 0.738147 | − | 1.27851i | −0.215181 | − | 0.976574i | \(-0.569034\pi\) |
0.953329 | − | 0.301934i | \(-0.0976324\pi\) | |||||||
\(972\) | 24.7573 | + | 0.376055i | 0.794090 | + | 0.0120620i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −18.9650 | − | 10.9494i | −0.607678 | − | 0.350843i | ||||
\(975\) | −0.203270 | − | 0.281572i | −0.00650985 | − | 0.00901752i | ||||
\(976\) | 2.08804 | + | 1.20553i | 0.0668366 | + | 0.0385882i | ||||
\(977\) | 46.8323 | + | 27.0386i | 1.49830 | + | 0.865042i | 0.999998 | − | 0.00196335i | \(-0.000624955\pi\) |
0.498299 | + | 0.867005i | \(0.333958\pi\) | |||||||
\(978\) | −11.2876 | + | 1.15172i | −0.360937 | + | 0.0368278i | ||||
\(979\) | −30.9562 | − | 17.8726i | −0.989365 | − | 0.571210i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −8.74660 | − | 9.83357i | −0.279257 | − | 0.313962i | ||||
\(982\) | 2.17418 | − | 3.76579i | 0.0693809 | − | 0.120171i | ||||
\(983\) | 13.9578 | 0.445185 | 0.222592 | − | 0.974912i | \(-0.428548\pi\) | ||||
0.222592 | + | 0.974912i | \(0.428548\pi\) | |||||||
\(984\) | −2.12433 | − | 2.94265i | −0.0677212 | − | 0.0938082i | ||||
\(985\) | 8.54135i | 0.272150i | ||||||||
\(986\) | 5.40462 | + | 9.36107i | 0.172118 | + | 0.298117i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.35305 | + | 4.07560i | −0.0748605 | + | 0.129662i | ||||
\(989\) | −8.06251 | − | 4.65489i | −0.256373 | − | 0.148017i | ||||
\(990\) | 9.59591 | + | 10.7884i | 0.304978 | + | 0.342879i | ||||
\(991\) | 18.5149 | + | 32.0687i | 0.588144 | + | 1.01869i | 0.994475 | + | 0.104969i | \(0.0334744\pi\) |
−0.406332 | + | 0.913726i | \(0.633192\pi\) | |||||||
\(992\) | 30.5309 | + | 52.8811i | 0.969358 | + | 1.67898i | ||||
\(993\) | −27.9409 | + | 20.1708i | −0.886677 | + | 0.640102i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −29.1119 | + | 16.8077i | −0.922909 | + | 0.532841i | ||||
\(996\) | −19.1181 | + | 13.8016i | −0.605782 | + | 0.437321i | ||||
\(997\) | 50.1466i | 1.58816i | 0.607815 | + | 0.794079i | \(0.292046\pi\) | ||||
−0.607815 | + | 0.794079i | \(0.707954\pi\) | |||||||
\(998\) | 4.77885 | − | 2.75907i | 0.151272 | − | 0.0873368i | ||||
\(999\) | −8.62145 | − | 1.91482i | −0.272770 | − | 0.0605824i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))