Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 35.20 | ||
Character | \(\chi\) | \(=\) | 384.35 |
Dual form | 384.2.w.a.11.20 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.813493 | − | 1.15682i | −0.575226 | − | 0.817994i | ||||
\(3\) | −1.73071 | + | 0.0681515i | −0.999226 | + | 0.0393473i | ||||
\(4\) | −0.676460 | + | 1.88213i | −0.338230 | + | 0.941064i | ||||
\(5\) | 1.66341 | − | 0.889109i | 0.743898 | − | 0.397622i | −0.0554724 | − | 0.998460i | \(-0.517666\pi\) |
0.799370 | + | 0.600838i | \(0.205166\pi\) | |||||||
\(6\) | 1.48676 | + | 1.94668i | 0.606966 | + | 0.794727i | ||||
\(7\) | −2.12405 | + | 0.422500i | −0.802816 | + | 0.159690i | −0.579411 | − | 0.815036i | \(-0.696717\pi\) |
−0.223405 | + | 0.974726i | \(0.571717\pi\) | |||||||
\(8\) | 2.72758 | − | 0.748555i | 0.964343 | − | 0.264654i | ||||
\(9\) | 2.99071 | − | 0.235901i | 0.996904 | − | 0.0786336i | ||||
\(10\) | −2.38171 | − | 1.20098i | −0.753162 | − | 0.379782i | ||||
\(11\) | −2.38724 | − | 1.95916i | −0.719780 | − | 0.590708i | 0.201555 | − | 0.979477i | \(-0.435400\pi\) |
−0.921335 | + | 0.388769i | \(0.872900\pi\) | |||||||
\(12\) | 1.04249 | − | 3.30352i | 0.300940 | − | 0.953643i | ||||
\(13\) | −1.07693 | − | 0.575629i | −0.298686 | − | 0.159651i | 0.315246 | − | 0.949010i | \(-0.397913\pi\) |
−0.613932 | + | 0.789359i | \(0.710413\pi\) | |||||||
\(14\) | 2.21666 | + | 2.11344i | 0.592426 | + | 0.564841i | ||||
\(15\) | −2.81828 | + | 1.65215i | −0.727677 | + | 0.426584i | ||||
\(16\) | −3.08480 | − | 2.54637i | −0.771201 | − | 0.636592i | ||||
\(17\) | −3.03653 | − | 1.25777i | −0.736466 | − | 0.305054i | −0.0172602 | − | 0.999851i | \(-0.505494\pi\) |
−0.719206 | + | 0.694797i | \(0.755494\pi\) | |||||||
\(18\) | −2.70582 | − | 3.26781i | −0.637767 | − | 0.770230i | ||||
\(19\) | 0.0115783 | + | 0.0381685i | 0.00265624 | + | 0.00875645i | 0.958258 | − | 0.285903i | \(-0.0922937\pi\) |
−0.955602 | + | 0.294660i | \(0.904794\pi\) | |||||||
\(20\) | 0.548189 | + | 3.73219i | 0.122579 | + | 0.834543i | ||||
\(21\) | 3.64732 | − | 0.875982i | 0.795911 | − | 0.191155i | ||||
\(22\) | −0.324388 | + | 4.35536i | −0.0691598 | + | 0.928567i | ||||
\(23\) | −4.68419 | + | 3.12987i | −0.976720 | + | 0.652624i | −0.938003 | − | 0.346627i | \(-0.887327\pi\) |
−0.0387171 | + | 0.999250i | \(0.512327\pi\) | |||||||
\(24\) | −4.66962 | + | 1.48142i | −0.953183 | + | 0.302393i | ||||
\(25\) | −0.801445 | + | 1.19945i | −0.160289 | + | 0.239889i | ||||
\(26\) | 0.210173 | + | 1.71408i | 0.0412183 | + | 0.336159i | ||||
\(27\) | −5.15997 | + | 0.612097i | −0.993038 | + | 0.117798i | ||||
\(28\) | 0.641636 | − | 4.28354i | 0.121258 | − | 0.809513i | ||||
\(29\) | −2.81564 | + | 2.31074i | −0.522852 | + | 0.429093i | −0.858439 | − | 0.512916i | \(-0.828565\pi\) |
0.335587 | + | 0.942009i | \(0.391065\pi\) | |||||||
\(30\) | 4.20389 | + | 1.91622i | 0.767522 | + | 0.349853i | ||||
\(31\) | −0.683005 | − | 0.683005i | −0.122671 | − | 0.122671i | 0.643106 | − | 0.765777i | \(-0.277645\pi\) |
−0.765777 | + | 0.643106i | \(0.777645\pi\) | |||||||
\(32\) | −0.436219 | + | 5.64001i | −0.0771134 | + | 0.997022i | ||||
\(33\) | 4.26514 | + | 3.22804i | 0.742465 | + | 0.561929i | ||||
\(34\) | 1.01518 | + | 4.53590i | 0.174102 | + | 0.777901i | ||||
\(35\) | −3.15751 | + | 2.59130i | −0.533717 | + | 0.438010i | ||||
\(36\) | −1.57910 | + | 5.78847i | −0.263183 | + | 0.964746i | ||||
\(37\) | 1.24167 | − | 4.09324i | 0.204129 | − | 0.672924i | −0.793775 | − | 0.608212i | \(-0.791887\pi\) |
0.997904 | − | 0.0647123i | \(-0.0206130\pi\) | |||||||
\(38\) | 0.0347352 | − | 0.0444438i | 0.00563479 | − | 0.00720973i | ||||
\(39\) | 1.90308 | + | 0.922853i | 0.304736 | + | 0.147775i | ||||
\(40\) | 3.87152 | − | 3.67026i | 0.612141 | − | 0.580320i | ||||
\(41\) | −8.68478 | + | 5.80298i | −1.35633 | + | 0.906273i | −0.999610 | − | 0.0279362i | \(-0.991106\pi\) |
−0.356724 | + | 0.934210i | \(0.616106\pi\) | |||||||
\(42\) | −3.98042 | − | 3.50669i | −0.614192 | − | 0.541093i | ||||
\(43\) | −0.213016 | − | 2.16279i | −0.0324847 | − | 0.329822i | −0.997668 | − | 0.0682491i | \(-0.978259\pi\) |
0.965184 | − | 0.261573i | \(-0.0842413\pi\) | |||||||
\(44\) | 5.30225 | − | 3.16780i | 0.799345 | − | 0.477564i | ||||
\(45\) | 4.76503 | − | 3.05147i | 0.710328 | − | 0.454886i | ||||
\(46\) | 7.43125 | + | 2.87263i | 1.09568 | + | 0.423546i | ||||
\(47\) | −3.02989 | − | 1.25502i | −0.441955 | − | 0.183064i | 0.150598 | − | 0.988595i | \(-0.451880\pi\) |
−0.592553 | + | 0.805531i | \(0.701880\pi\) | |||||||
\(48\) | 5.51244 | + | 4.19679i | 0.795652 | + | 0.605754i | ||||
\(49\) | −2.13407 | + | 0.883961i | −0.304867 | + | 0.126280i | ||||
\(50\) | 2.03951 | − | 0.0486147i | 0.288431 | − | 0.00687515i | ||||
\(51\) | 5.34107 | + | 1.96989i | 0.747899 | + | 0.275840i | ||||
\(52\) | 1.81191 | − | 1.63752i | 0.251266 | − | 0.227084i | ||||
\(53\) | −5.37932 | − | 4.41470i | −0.738907 | − | 0.606405i | 0.187793 | − | 0.982209i | \(-0.439867\pi\) |
−0.926699 | + | 0.375804i | \(0.877367\pi\) | |||||||
\(54\) | 4.90569 | + | 5.47122i | 0.667579 | + | 0.744539i | ||||
\(55\) | −5.71286 | − | 1.13636i | −0.770321 | − | 0.153226i | ||||
\(56\) | −5.47724 | + | 2.74237i | −0.731928 | + | 0.366465i | ||||
\(57\) | −0.0226399 | − | 0.0652695i | −0.00299873 | − | 0.00864515i | ||||
\(58\) | 4.96361 | + | 1.37742i | 0.651754 | + | 0.180864i | ||||
\(59\) | 10.6395 | − | 5.68695i | 1.38515 | − | 0.740378i | 0.400727 | − | 0.916198i | \(-0.368758\pi\) |
0.984422 | + | 0.175820i | \(0.0562577\pi\) | |||||||
\(60\) | −1.20311 | − | 6.42198i | −0.155321 | − | 0.829073i | ||||
\(61\) | −0.0413613 | + | 0.419949i | −0.00529578 | + | 0.0537689i | −0.997469 | − | 0.0710969i | \(-0.977350\pi\) |
0.992174 | + | 0.124866i | \(0.0398500\pi\) | |||||||
\(62\) | −0.234494 | + | 1.34573i | −0.0297807 | + | 0.170908i | ||||
\(63\) | −6.25275 | + | 1.76464i | −0.787773 | + | 0.222324i | ||||
\(64\) | 6.87933 | − | 4.08348i | 0.859916 | − | 0.510435i | ||||
\(65\) | −2.30316 | −0.285672 | ||||||||
\(66\) | 0.264597 | − | 7.55998i | 0.0325697 | − | 0.930569i | ||||
\(67\) | −11.3473 | − | 1.11761i | −1.38629 | − | 0.136538i | −0.622811 | − | 0.782372i | \(-0.714010\pi\) |
−0.763477 | + | 0.645835i | \(0.776510\pi\) | |||||||
\(68\) | 4.42137 | − | 4.86430i | 0.536170 | − | 0.589883i | ||||
\(69\) | 7.89366 | − | 5.73614i | 0.950285 | − | 0.690550i | ||||
\(70\) | 5.56628 | + | 1.54466i | 0.665298 | + | 0.184623i | ||||
\(71\) | 5.72415 | − | 1.13860i | 0.679331 | − | 0.135127i | 0.156648 | − | 0.987654i | \(-0.449931\pi\) |
0.522683 | + | 0.852527i | \(0.324931\pi\) | |||||||
\(72\) | 7.98080 | − | 2.88215i | 0.940547 | − | 0.339664i | ||||
\(73\) | 3.00766 | − | 15.1205i | 0.352020 | − | 1.76973i | −0.247024 | − | 0.969009i | \(-0.579453\pi\) |
0.599044 | − | 0.800716i | \(-0.295547\pi\) | |||||||
\(74\) | −5.74523 | + | 1.89343i | −0.667869 | + | 0.220107i | ||||
\(75\) | 1.30532 | − | 2.13051i | 0.150726 | − | 0.246011i | ||||
\(76\) | −0.0796702 | − | 0.00402764i | −0.00913880 | − | 0.000462003i | ||||
\(77\) | 5.89836 | + | 3.15274i | 0.672181 | + | 0.359288i | ||||
\(78\) | −0.480565 | − | 2.95225i | −0.0544133 | − | 0.334276i | ||||
\(79\) | 3.13967 | + | 7.57983i | 0.353240 | + | 0.852797i | 0.996216 | + | 0.0869108i | \(0.0276995\pi\) |
−0.642976 | + | 0.765886i | \(0.722300\pi\) | |||||||
\(80\) | −7.39528 | − | 1.49291i | −0.826818 | − | 0.166913i | ||||
\(81\) | 8.88870 | − | 1.41102i | 0.987634 | − | 0.156780i | ||||
\(82\) | 13.7780 | + | 5.32603i | 1.52153 | + | 0.588162i | ||||
\(83\) | 2.01121 | + | 6.63009i | 0.220759 | + | 0.727746i | 0.995440 | + | 0.0953932i | \(0.0304108\pi\) |
−0.774680 | + | 0.632353i | \(0.782089\pi\) | |||||||
\(84\) | −0.818557 | + | 7.45729i | −0.0893119 | + | 0.813657i | ||||
\(85\) | −6.16928 | + | 0.607621i | −0.669152 | + | 0.0659057i | ||||
\(86\) | −2.32867 | + | 2.00583i | −0.251107 | + | 0.216295i | ||||
\(87\) | 4.71558 | − | 4.19111i | 0.505563 | − | 0.449334i | ||||
\(88\) | −7.97791 | − | 3.55677i | −0.850448 | − | 0.379153i | ||||
\(89\) | −1.67163 | + | 2.50177i | −0.177192 | + | 0.265187i | −0.909425 | − | 0.415867i | \(-0.863478\pi\) |
0.732233 | + | 0.681054i | \(0.238478\pi\) | |||||||
\(90\) | −7.40631 | − | 3.02993i | −0.780694 | − | 0.319382i | ||||
\(91\) | 2.53065 | + | 0.767665i | 0.265284 | + | 0.0804731i | ||||
\(92\) | −2.72216 | − | 10.9335i | −0.283804 | − | 1.13989i | ||||
\(93\) | 1.22863 | + | 1.13554i | 0.127403 | + | 0.117750i | ||||
\(94\) | 1.01296 | + | 4.52598i | 0.104479 | + | 0.466819i | ||||
\(95\) | 0.0531954 | + | 0.0531954i | 0.00545773 | + | 0.00545773i | ||||
\(96\) | 0.370594 | − | 9.79095i | 0.0378236 | − | 0.999284i | ||||
\(97\) | −0.891426 | + | 0.891426i | −0.0905106 | + | 0.0905106i | −0.750912 | − | 0.660402i | \(-0.770386\pi\) |
0.660402 | + | 0.750912i | \(0.270386\pi\) | |||||||
\(98\) | 2.75863 | + | 1.74964i | 0.278664 | + | 0.176740i | ||||
\(99\) | −7.60171 | − | 5.29612i | −0.764001 | − | 0.532280i | ||||
\(100\) | −1.71537 | − | 2.31980i | −0.171537 | − | 0.231980i | ||||
\(101\) | 2.52551 | − | 8.32548i | 0.251297 | − | 0.828416i | −0.737002 | − | 0.675890i | \(-0.763759\pi\) |
0.988299 | − | 0.152526i | \(-0.0487407\pi\) | |||||||
\(102\) | −2.06611 | − | 7.78114i | −0.204575 | − | 0.770448i | ||||
\(103\) | −11.1786 | − | 7.46930i | −1.10146 | − | 0.735972i | −0.134503 | − | 0.990913i | \(-0.542944\pi\) |
−0.966956 | + | 0.254942i | \(0.917944\pi\) | |||||||
\(104\) | −3.36829 | − | 0.763934i | −0.330288 | − | 0.0749098i | ||||
\(105\) | 5.28813 | − | 4.69998i | 0.516069 | − | 0.458671i | ||||
\(106\) | −0.730965 | + | 9.81422i | −0.0709976 | + | 0.953242i | ||||
\(107\) | −1.63408 | − | 16.5911i | −0.157973 | − | 1.60392i | −0.668265 | − | 0.743923i | \(-0.732963\pi\) |
0.510293 | − | 0.860001i | \(-0.329537\pi\) | |||||||
\(108\) | 2.33847 | − | 10.1258i | 0.225019 | − | 0.974354i | ||||
\(109\) | 18.2887 | − | 5.54781i | 1.75174 | − | 0.531384i | 0.758936 | − | 0.651165i | \(-0.225719\pi\) |
0.992800 | + | 0.119781i | \(0.0382193\pi\) | |||||||
\(110\) | 3.33281 | + | 7.53316i | 0.317771 | + | 0.718258i | ||||
\(111\) | −1.87001 | + | 7.16883i | −0.177494 | + | 0.680435i | ||||
\(112\) | 7.62812 | + | 4.10528i | 0.720790 | + | 0.387913i | ||||
\(113\) | −11.7225 | + | 4.85560i | −1.10276 | + | 0.456776i | −0.858437 | − | 0.512919i | \(-0.828564\pi\) |
−0.244318 | + | 0.969695i | \(0.578564\pi\) | |||||||
\(114\) | −0.0570876 | + | 0.0792865i | −0.00534674 | + | 0.00742586i | ||||
\(115\) | −5.00891 | + | 9.37101i | −0.467083 | + | 0.873851i | ||||
\(116\) | −2.44443 | − | 6.86252i | −0.226960 | − | 0.637169i | ||||
\(117\) | −3.35657 | − | 1.46749i | −0.310315 | − | 0.135670i | ||||
\(118\) | −15.2339 | − | 7.68172i | −1.40240 | − | 0.707160i | ||||
\(119\) | 6.98115 | + | 1.38864i | 0.639961 | + | 0.127296i | ||||
\(120\) | −6.45034 | + | 6.61601i | −0.588833 | + | 0.603956i | ||||
\(121\) | −0.285376 | − | 1.43468i | −0.0259432 | − | 0.130425i | ||||
\(122\) | 0.519452 | − | 0.293778i | 0.0470289 | − | 0.0265974i | ||||
\(123\) | 14.6353 | − | 10.6352i | 1.31962 | − | 0.958940i | ||||
\(124\) | 1.74753 | − | 0.823477i | 0.156933 | − | 0.0739504i | ||||
\(125\) | −1.19105 | + | 12.0929i | −0.106531 | + | 1.08162i | ||||
\(126\) | 7.12794 | + | 5.79778i | 0.635007 | + | 0.516507i | ||||
\(127\) | 12.5535i | 1.11395i | 0.830531 | + | 0.556973i | \(0.188037\pi\) | ||||
−0.830531 | + | 0.556973i | \(0.811963\pi\) | |||||||
\(128\) | −10.3201 | − | 4.63626i | −0.912179 | − | 0.409791i | ||||
\(129\) | 0.516066 | + | 3.72864i | 0.0454371 | + | 0.328289i | ||||
\(130\) | 1.87361 | + | 2.66434i | 0.164326 | + | 0.233678i | ||||
\(131\) | 8.26431 | + | 0.813963i | 0.722056 | + | 0.0711163i | 0.452368 | − | 0.891831i | \(-0.350579\pi\) |
0.269688 | + | 0.962948i | \(0.413079\pi\) | |||||||
\(132\) | −8.96077 | + | 5.84389i | −0.779935 | + | 0.508646i | ||||
\(133\) | −0.0407191 | − | 0.0761800i | −0.00353079 | − | 0.00660564i | ||||
\(134\) | 7.93804 | + | 14.0359i | 0.685742 | + | 1.21252i | ||||
\(135\) | −8.03891 | + | 5.60595i | −0.691880 | + | 0.482483i | ||||
\(136\) | −9.22387 | − | 1.15766i | −0.790940 | − | 0.0992683i | ||||
\(137\) | −4.27185 | + | 21.4760i | −0.364969 | + | 1.83482i | 0.164355 | + | 0.986401i | \(0.447446\pi\) |
−0.529324 | + | 0.848420i | \(0.677554\pi\) | |||||||
\(138\) | −13.0571 | − | 4.46523i | −1.11149 | − | 0.380106i | ||||
\(139\) | 5.05723 | − | 6.16225i | 0.428948 | − | 0.522675i | −0.513020 | − | 0.858377i | \(-0.671473\pi\) |
0.941968 | + | 0.335701i | \(0.108973\pi\) | |||||||
\(140\) | −2.74123 | − | 7.69575i | −0.231676 | − | 0.650410i | ||||
\(141\) | 5.32939 | + | 1.96558i | 0.448815 | + | 0.165532i | ||||
\(142\) | −5.97371 | − | 5.69556i | −0.501303 | − | 0.477960i | ||||
\(143\) | 1.44313 | + | 3.48403i | 0.120681 | + | 0.291350i | ||||
\(144\) | −9.82645 | − | 6.88774i | −0.818871 | − | 0.573978i | ||||
\(145\) | −2.62906 | + | 6.34711i | −0.218331 | + | 0.527099i | ||||
\(146\) | −19.9384 | + | 8.82113i | −1.65012 | + | 0.730042i | ||||
\(147\) | 3.63321 | − | 1.67532i | 0.299662 | − | 0.138178i | ||||
\(148\) | 6.86405 | + | 5.10589i | 0.564222 | + | 0.419702i | ||||
\(149\) | 13.9019 | − | 1.36922i | 1.13889 | − | 0.112171i | 0.489061 | − | 0.872250i | \(-0.337340\pi\) |
0.649831 | + | 0.760079i | \(0.274840\pi\) | |||||||
\(150\) | −3.52649 | + | 0.223134i | −0.287937 | + | 0.0182188i | ||||
\(151\) | 8.16660 | + | 12.2222i | 0.664588 | + | 0.994627i | 0.998643 | + | 0.0520731i | \(0.0165829\pi\) |
−0.334055 | + | 0.942554i | \(0.608417\pi\) | |||||||
\(152\) | 0.0601518 | + | 0.0954404i | 0.00487896 | + | 0.00774124i | ||||
\(153\) | −9.37809 | − | 3.04531i | −0.758173 | − | 0.246199i | ||||
\(154\) | −1.15112 | − | 9.38807i | −0.0927603 | − | 0.756512i | ||||
\(155\) | −1.74338 | − | 0.528849i | −0.140032 | − | 0.0424782i | ||||
\(156\) | −3.02428 | + | 2.95756i | −0.242136 | + | 0.236794i | ||||
\(157\) | 12.4293 | + | 15.1451i | 0.991963 | + | 1.20871i | 0.977957 | + | 0.208808i | \(0.0669585\pi\) |
0.0140063 | + | 0.999902i | \(0.495542\pi\) | |||||||
\(158\) | 6.21439 | − | 9.79816i | 0.494390 | − | 0.779500i | ||||
\(159\) | 9.61091 | + | 7.27395i | 0.762195 | + | 0.576862i | ||||
\(160\) | 4.28898 | + | 9.76948i | 0.339073 | + | 0.772345i | ||||
\(161\) | 8.62708 | − | 8.62708i | 0.679909 | − | 0.679909i | ||||
\(162\) | −8.86319 | − | 9.13476i | −0.696358 | − | 0.717695i | ||||
\(163\) | −10.8627 | − | 13.2362i | −0.850829 | − | 1.03674i | −0.998859 | − | 0.0477554i | \(-0.984793\pi\) |
0.148030 | − | 0.988983i | \(-0.452707\pi\) | |||||||
\(164\) | −5.04705 | − | 20.2713i | −0.394108 | − | 1.58293i | ||||
\(165\) | 9.96474 | + | 1.57737i | 0.775754 | + | 0.122798i | ||||
\(166\) | 6.03370 | − | 7.72014i | 0.468306 | − | 0.599199i | ||||
\(167\) | 19.7010 | + | 13.1638i | 1.52451 | + | 1.01864i | 0.984177 | + | 0.177189i | \(0.0567004\pi\) |
0.540330 | + | 0.841454i | \(0.318300\pi\) | |||||||
\(168\) | 9.29262 | − | 5.11953i | 0.716941 | − | 0.394980i | ||||
\(169\) | −6.39399 | − | 9.56928i | −0.491845 | − | 0.736099i | ||||
\(170\) | 5.72157 | + | 6.64244i | 0.438824 | + | 0.509452i | ||||
\(171\) | 0.0436313 | + | 0.111420i | 0.00333657 | + | 0.00852047i | ||||
\(172\) | 4.21474 | + | 1.06212i | 0.321371 | + | 0.0809856i | ||||
\(173\) | 16.2027 | − | 4.91504i | 1.23187 | − | 0.373684i | 0.393775 | − | 0.919207i | \(-0.371169\pi\) |
0.838096 | + | 0.545523i | \(0.183669\pi\) | |||||||
\(174\) | −8.68444 | − | 2.04564i | −0.658366 | − | 0.155079i | ||||
\(175\) | 1.19554 | − | 2.88630i | 0.0903746 | − | 0.218184i | ||||
\(176\) | 2.37544 | + | 12.1224i | 0.179055 | + | 0.913761i | ||||
\(177\) | −18.0264 | + | 10.5676i | −1.35494 | + | 0.794306i | ||||
\(178\) | 4.25395 | − | 0.101399i | 0.318847 | − | 0.00760016i | ||||
\(179\) | 3.18728 | − | 5.96298i | 0.238228 | − | 0.445694i | −0.734188 | − | 0.678946i | \(-0.762437\pi\) |
0.972416 | + | 0.233253i | \(0.0749369\pi\) | |||||||
\(180\) | 2.51990 | + | 11.0326i | 0.187822 | + | 0.822320i | ||||
\(181\) | −13.8486 | + | 16.8745i | −1.02936 | + | 1.25427i | −0.0627449 | + | 0.998030i | \(0.519985\pi\) |
−0.966612 | + | 0.256245i | \(0.917515\pi\) | |||||||
\(182\) | −1.17062 | − | 3.55199i | −0.0867719 | − | 0.263291i | ||||
\(183\) | 0.0429643 | − | 0.729628i | 0.00317601 | − | 0.0539356i | ||||
\(184\) | −10.4336 | + | 12.0433i | −0.769174 | + | 0.887846i | ||||
\(185\) | −1.57393 | − | 7.91270i | −0.115718 | − | 0.581753i | ||||
\(186\) | 0.314127 | − | 2.34505i | 0.0230329 | − | 0.171948i | ||||
\(187\) | 4.78475 | + | 8.95164i | 0.349896 | + | 0.654609i | ||||
\(188\) | 4.41171 | − | 4.85366i | 0.321757 | − | 0.353990i | ||||
\(189\) | 10.7014 | − | 3.48021i | 0.778415 | − | 0.253148i | ||||
\(190\) | 0.0182634 | − | 0.104811i | 0.00132496 | − | 0.00760382i | ||||
\(191\) | 12.8785i | 0.931856i | 0.884823 | + | 0.465928i | \(0.154279\pi\) | ||||
−0.884823 | + | 0.465928i | \(0.845721\pi\) | |||||||
\(192\) | −11.6278 | + | 7.53615i | −0.839166 | + | 0.543875i | ||||
\(193\) | − | 4.15368i | − | 0.298988i | −0.988763 | − | 0.149494i | \(-0.952235\pi\) | ||
0.988763 | − | 0.149494i | \(-0.0477645\pi\) | |||||||
\(194\) | 1.75639 | + | 0.306050i | 0.126101 | + | 0.0219731i | ||||
\(195\) | 3.98611 | − | 0.156964i | 0.285451 | − | 0.0112404i | ||||
\(196\) | −0.220114 | − | 4.61455i | −0.0157224 | − | 0.329611i | ||||
\(197\) | −4.57069 | − | 8.55117i | −0.325649 | − | 0.609246i | 0.664817 | − | 0.747006i | \(-0.268509\pi\) |
−0.990466 | + | 0.137761i | \(0.956009\pi\) | |||||||
\(198\) | 0.0572827 | + | 13.1022i | 0.00407090 | + | 0.931130i | ||||
\(199\) | −2.31964 | − | 11.6616i | −0.164435 | − | 0.826671i | −0.971652 | − | 0.236416i | \(-0.924027\pi\) |
0.807217 | − | 0.590255i | \(-0.200973\pi\) | |||||||
\(200\) | −1.28815 | + | 3.87151i | −0.0910859 | + | 0.273757i | ||||
\(201\) | 19.7150 | + | 1.16092i | 1.39059 | + | 0.0818851i | ||||
\(202\) | −11.6856 | + | 3.85116i | −0.822193 | + | 0.270967i | ||||
\(203\) | 5.00428 | − | 6.09773i | 0.351232 | − | 0.427977i | ||||
\(204\) | −7.32061 | + | 8.72002i | −0.512545 | + | 0.610523i | ||||
\(205\) | −9.28683 | + | 17.3744i | −0.648620 | + | 1.21348i | ||||
\(206\) | 0.453078 | + | 19.0078i | 0.0315675 | + | 1.32434i | ||||
\(207\) | −13.2707 | + | 10.4655i | −0.922378 | + | 0.727406i | ||||
\(208\) | 1.85635 | + | 4.51795i | 0.128714 | + | 0.313264i | ||||
\(209\) | 0.0471379 | − | 0.113801i | 0.00326060 | − | 0.00787178i | ||||
\(210\) | −9.73889 | − | 2.29401i | −0.672047 | − | 0.158302i | ||||
\(211\) | −23.1268 | + | 7.01545i | −1.59212 | + | 0.482963i | −0.957154 | − | 0.289579i | \(-0.906485\pi\) |
−0.634963 | + | 0.772543i | \(0.718985\pi\) | |||||||
\(212\) | 11.9479 | − | 7.13820i | 0.820586 | − | 0.490254i | ||||
\(213\) | −9.82924 | + | 2.36070i | −0.673488 | + | 0.161753i | ||||
\(214\) | −17.8636 | + | 15.3871i | −1.22113 | + | 1.05184i | ||||
\(215\) | −2.27729 | − | 3.40820i | −0.155310 | − | 0.232438i | ||||
\(216\) | −13.6160 | + | 5.53206i | −0.926453 | + | 0.376409i | ||||
\(217\) | 1.73931 | + | 1.16217i | 0.118072 | + | 0.0788931i | ||||
\(218\) | −21.2955 | − | 16.6436i | −1.44231 | − | 1.12725i | ||||
\(219\) | −4.17490 | + | 26.3742i | −0.282114 | + | 1.78221i | ||||
\(220\) | 6.00329 | − | 9.98362i | 0.404742 | − | 0.673096i | ||||
\(221\) | 2.54611 | + | 3.10244i | 0.171270 | + | 0.208693i | ||||
\(222\) | 9.81428 | − | 3.66853i | 0.658691 | − | 0.246215i | ||||
\(223\) | 20.1109 | − | 20.1109i | 1.34673 | − | 1.34673i | 0.457538 | − | 0.889190i | \(-0.348731\pi\) |
0.889190 | − | 0.457538i | \(-0.151269\pi\) | |||||||
\(224\) | −1.45635 | − | 12.1640i | −0.0973066 | − | 0.812740i | ||||
\(225\) | −2.11394 | + | 3.77626i | −0.140929 | + | 0.251751i | ||||
\(226\) | 15.1532 | + | 9.61076i | 1.00797 | + | 0.639298i | ||||
\(227\) | −17.4616 | − | 21.2771i | −1.15897 | − | 1.41221i | −0.894067 | − | 0.447933i | \(-0.852160\pi\) |
−0.264902 | − | 0.964275i | \(-0.585340\pi\) | |||||||
\(228\) | 0.138160 | + | 0.00154104i | 0.00914990 | + | 0.000102058i | ||||
\(229\) | −24.0845 | − | 7.30596i | −1.59155 | − | 0.482791i | −0.634550 | − | 0.772882i | \(-0.718815\pi\) |
−0.956999 | + | 0.290090i | \(0.906315\pi\) | |||||||
\(230\) | 14.9153 | − | 1.82885i | 0.983483 | − | 0.120590i | ||||
\(231\) | −10.4232 | − | 5.05450i | −0.685797 | − | 0.332561i | ||||
\(232\) | −5.95016 | + | 8.41037i | −0.390647 | + | 0.552168i | ||||
\(233\) | −9.02661 | − | 13.5093i | −0.591353 | − | 0.885022i | 0.408259 | − | 0.912866i | \(-0.366136\pi\) |
−0.999612 | + | 0.0278437i | \(0.991136\pi\) | |||||||
\(234\) | 1.03292 | + | 5.07674i | 0.0675241 | + | 0.331877i | ||||
\(235\) | −6.15579 | + | 0.606292i | −0.401559 | + | 0.0395501i | ||||
\(236\) | 3.50634 | + | 23.8719i | 0.228244 | + | 1.55393i | ||||
\(237\) | −5.95043 | − | 12.9045i | −0.386522 | − | 0.838238i | ||||
\(238\) | −4.07271 | − | 9.20557i | −0.263995 | − | 0.596709i | ||||
\(239\) | 0.996045 | − | 2.40467i | 0.0644288 | − | 0.155545i | −0.888386 | − | 0.459098i | \(-0.848173\pi\) |
0.952815 | + | 0.303553i | \(0.0981728\pi\) | |||||||
\(240\) | 12.9008 | + | 2.07980i | 0.832745 | + | 0.134251i | ||||
\(241\) | −3.71504 | − | 8.96891i | −0.239307 | − | 0.577738i | 0.757904 | − | 0.652366i | \(-0.226223\pi\) |
−0.997211 | + | 0.0746273i | \(0.976223\pi\) | |||||||
\(242\) | −1.42751 | + | 1.49723i | −0.0917641 | + | 0.0962455i | ||||
\(243\) | −15.2876 | + | 3.04785i | −0.980700 | + | 0.195519i | ||||
\(244\) | −0.762417 | − | 0.361926i | −0.0488088 | − | 0.0231699i | ||||
\(245\) | −2.76389 | + | 3.36781i | −0.176578 | + | 0.215161i | ||||
\(246\) | −24.2087 | − | 8.27882i | −1.54349 | − | 0.527838i | ||||
\(247\) | 0.00950194 | − | 0.0477695i | 0.000604594 | − | 0.00303950i | ||||
\(248\) | −2.37421 | − | 1.35168i | −0.150763 | − | 0.0858318i | ||||
\(249\) | −3.93268 | − | 11.3377i | −0.249223 | − | 0.718497i | ||||
\(250\) | 14.9582 | − | 8.45967i | 0.946041 | − | 0.535036i | ||||
\(251\) | 1.36532 | + | 2.55434i | 0.0861784 | + | 0.161228i | 0.921318 | − | 0.388809i | \(-0.127113\pi\) |
−0.835140 | + | 0.550037i | \(0.814613\pi\) | |||||||
\(252\) | 0.908459 | − | 12.9622i | 0.0572275 | − | 0.816541i | ||||
\(253\) | 17.3142 | + | 1.70530i | 1.08853 | + | 0.107211i | ||||
\(254\) | 14.5222 | − | 10.2122i | 0.911201 | − | 0.640770i | ||||
\(255\) | 10.6358 | − | 1.47206i | 0.666041 | − | 0.0921840i | ||||
\(256\) | 3.03204 | + | 15.7101i | 0.189502 | + | 0.981880i | ||||
\(257\) | 0.419568i | 0.0261719i | 0.999914 | + | 0.0130860i | \(0.00416551\pi\) | ||||
−0.999914 | + | 0.0130860i | \(0.995834\pi\) | |||||||
\(258\) | 3.89355 | − | 3.63022i | 0.242402 | − | 0.226008i | ||||
\(259\) | −0.907978 | + | 9.21885i | −0.0564190 | + | 0.572832i | ||||
\(260\) | 1.55800 | − | 4.33485i | 0.0966230 | − | 0.268836i | ||||
\(261\) | −7.87567 | + | 7.57496i | −0.487492 | + | 0.468878i | ||||
\(262\) | −5.78134 | − | 10.2225i | −0.357173 | − | 0.631546i | ||||
\(263\) | 2.80129 | + | 14.0830i | 0.172735 | + | 0.868398i | 0.965805 | + | 0.259268i | \(0.0834812\pi\) |
−0.793070 | + | 0.609130i | \(0.791519\pi\) | |||||||
\(264\) | 14.0498 | + | 5.61203i | 0.864708 | + | 0.345396i | ||||
\(265\) | −12.8731 | − | 2.56063i | −0.790791 | − | 0.157298i | ||||
\(266\) | −0.0550018 | + | 0.109076i | −0.00337238 | + | 0.00668790i | ||||
\(267\) | 2.72260 | − | 4.44376i | 0.166621 | − | 0.271953i | ||||
\(268\) | 9.77944 | − | 20.6010i | 0.597375 | − | 1.25840i | ||||
\(269\) | −1.84959 | + | 3.46034i | −0.112771 | + | 0.210981i | −0.931975 | − | 0.362522i | \(-0.881916\pi\) |
0.819204 | + | 0.573503i | \(0.194416\pi\) | |||||||
\(270\) | 13.0247 | + | 4.73917i | 0.792656 | + | 0.288417i | ||||
\(271\) | 2.00398 | − | 0.830077i | 0.121733 | − | 0.0504236i | −0.320985 | − | 0.947084i | \(-0.604014\pi\) |
0.442719 | + | 0.896661i | \(0.354014\pi\) | |||||||
\(272\) | 6.16435 | + | 11.6121i | 0.373769 | + | 0.704087i | ||||
\(273\) | −4.43214 | − | 1.15614i | −0.268245 | − | 0.0699726i | ||||
\(274\) | 28.3190 | − | 12.5288i | 1.71081 | − | 0.756895i | ||||
\(275\) | 4.26315 | − | 1.29321i | 0.257077 | − | 0.0779836i | ||||
\(276\) | 5.45639 | + | 18.7371i | 0.328436 | + | 1.12784i | ||||
\(277\) | 0.495659 | + | 5.03251i | 0.0297812 | + | 0.302374i | 0.998524 | + | 0.0543076i | \(0.0172951\pi\) |
−0.968743 | + | 0.248066i | \(0.920205\pi\) | |||||||
\(278\) | −11.2426 | − | 0.837352i | −0.674288 | − | 0.0502210i | ||||
\(279\) | −2.20379 | − | 1.88155i | −0.131938 | − | 0.112645i | ||||
\(280\) | −6.67262 | + | 9.43154i | −0.398765 | + | 0.563643i | ||||
\(281\) | −14.9390 | − | 9.98189i | −0.891183 | − | 0.595470i | 0.0234629 | − | 0.999725i | \(-0.492531\pi\) |
−0.914646 | + | 0.404255i | \(0.867531\pi\) | |||||||
\(282\) | −2.06159 | − | 7.76412i | −0.122766 | − | 0.462347i | ||||
\(283\) | 2.97298 | − | 9.80062i | 0.176726 | − | 0.582586i | −0.823165 | − | 0.567802i | \(-0.807794\pi\) |
0.999891 | − | 0.0147841i | \(-0.00470610\pi\) | |||||||
\(284\) | −1.72916 | + | 11.5438i | −0.102607 | + | 0.684998i | ||||
\(285\) | −0.0956910 | − | 0.0884404i | −0.00566825 | − | 0.00523876i | ||||
\(286\) | 2.85642 | − | 4.50368i | 0.168904 | − | 0.266308i | ||||
\(287\) | 15.9951 | − | 15.9951i | 0.944164 | − | 0.944164i | ||||
\(288\) | 0.0258766 | + | 16.9705i | 0.00152479 | + | 0.999999i | ||||
\(289\) | −4.38230 | − | 4.38230i | −0.257782 | − | 0.257782i | ||||
\(290\) | 9.48118 | − | 2.12198i | 0.556754 | − | 0.124607i | ||||
\(291\) | 1.48205 | − | 1.60355i | 0.0868791 | − | 0.0940018i | ||||
\(292\) | 26.4242 | + | 15.8892i | 1.54636 | + | 0.929847i | ||||
\(293\) | −6.04238 | − | 1.83294i | −0.353000 | − | 0.107081i | 0.108805 | − | 0.994063i | \(-0.465298\pi\) |
−0.461804 | + | 0.886982i | \(0.652798\pi\) | |||||||
\(294\) | −4.89363 | − | 2.84011i | −0.285402 | − | 0.165639i | ||||
\(295\) | 12.6415 | − | 18.9194i | 0.736019 | − | 1.10153i | ||||
\(296\) | 0.322735 | − | 12.0941i | 0.0187586 | − | 0.702954i | ||||
\(297\) | 13.5173 | + | 8.64798i | 0.784353 | + | 0.501807i | ||||
\(298\) | −12.8931 | − | 14.9682i | −0.746875 | − | 0.867083i | ||||
\(299\) | 6.84617 | − | 0.674289i | 0.395924 | − | 0.0389951i | ||||
\(300\) | 3.12690 | + | 3.89799i | 0.180532 | + | 0.225051i | ||||
\(301\) | 1.36624 | + | 4.50388i | 0.0787485 | + | 0.259599i | ||||
\(302\) | 7.49538 | − | 19.3899i | 0.431311 | − | 1.11576i | ||||
\(303\) | −3.80352 | + | 14.5811i | −0.218507 | + | 0.837662i | ||||
\(304\) | 0.0614742 | − | 0.147225i | 0.00352579 | − | 0.00844393i | ||||
\(305\) | 0.304580 | + | 0.735320i | 0.0174402 | + | 0.0421043i | ||||
\(306\) | 4.10613 | + | 13.3261i | 0.234732 | + | 0.761802i | ||||
\(307\) | 2.43131 | + | 1.29956i | 0.138762 | + | 0.0741699i | 0.539317 | − | 0.842103i | \(-0.318683\pi\) |
−0.400555 | + | 0.916273i | \(0.631183\pi\) | |||||||
\(308\) | −9.92387 | + | 8.96877i | −0.565465 | + | 0.511043i | ||||
\(309\) | 19.8559 | + | 12.1653i | 1.12956 | + | 0.692062i | ||||
\(310\) | 0.806445 | + | 2.44699i | 0.0458030 | + | 0.138980i | ||||
\(311\) | 3.97596 | − | 19.9885i | 0.225456 | − | 1.13344i | −0.687750 | − | 0.725947i | \(-0.741402\pi\) |
0.913207 | − | 0.407497i | \(-0.133598\pi\) | |||||||
\(312\) | 5.88159 | + | 1.09259i | 0.332980 | + | 0.0618559i | ||||
\(313\) | 16.8501 | − | 3.35169i | 0.952424 | − | 0.189449i | 0.305662 | − | 0.952140i | \(-0.401122\pi\) |
0.646763 | + | 0.762691i | \(0.276122\pi\) | |||||||
\(314\) | 7.40902 | − | 26.6988i | 0.418115 | − | 1.50670i | ||||
\(315\) | −8.83191 | + | 8.49470i | −0.497622 | + | 0.478622i | ||||
\(316\) | −16.3901 | + | 0.781804i | −0.922013 | + | 0.0439799i | ||||
\(317\) | −16.0048 | − | 1.57634i | −0.898921 | − | 0.0885360i | −0.362009 | − | 0.932175i | \(-0.617909\pi\) |
−0.536911 | + | 0.843639i | \(0.680409\pi\) | |||||||
\(318\) | 0.596234 | − | 17.0354i | 0.0334351 | − | 0.955297i | ||||
\(319\) | 11.2487 | 0.629807 | ||||||||
\(320\) | 7.81247 | − | 12.9090i | 0.436730 | − | 0.721633i | ||||
\(321\) | 3.95883 | + | 28.6030i | 0.220960 | + | 1.59647i | ||||
\(322\) | −16.9980 | − | 2.96190i | −0.947263 | − | 0.165060i | ||||
\(323\) | 0.0128494 | − | 0.130463i | 0.000714962 | − | 0.00725913i | ||||
\(324\) | −3.35713 | + | 17.6842i | −0.186507 | + | 0.982454i | ||||
\(325\) | 1.55353 | − | 0.830382i | 0.0861746 | − | 0.0460613i | ||||
\(326\) | −6.47518 | + | 23.3337i | −0.358627 | + | 1.29233i | ||||
\(327\) | −31.2743 | + | 10.8480i | −1.72947 | + | 0.599898i | ||||
\(328\) | −19.3445 | + | 22.3291i | −1.06812 | + | 1.23292i | ||||
\(329\) | 6.96588 | + | 1.38560i | 0.384042 | + | 0.0763906i | ||||
\(330\) | −6.28151 | − | 12.8106i | −0.345786 | − | 0.705199i | ||||
\(331\) | 6.52504 | + | 5.35496i | 0.358649 | + | 0.294335i | 0.796411 | − | 0.604755i | \(-0.206729\pi\) |
−0.437763 | + | 0.899090i | \(0.644229\pi\) | |||||||
\(332\) | −13.8392 | − | 0.699625i | −0.759523 | − | 0.0383969i | ||||
\(333\) | 2.74788 | − | 12.5346i | 0.150583 | − | 0.686892i | ||||
\(334\) | −0.798498 | − | 33.4991i | −0.0436918 | − | 1.83299i | ||||
\(335\) | −19.8688 | + | 8.22992i | −1.08555 | + | 0.449649i | ||||
\(336\) | −13.4818 | − | 6.58518i | −0.735495 | − | 0.359251i | ||||
\(337\) | −4.14534 | − | 1.71706i | −0.225811 | − | 0.0935340i | 0.266910 | − | 0.963722i | \(-0.413997\pi\) |
−0.492721 | + | 0.870188i | \(0.663997\pi\) | |||||||
\(338\) | −5.86846 | + | 15.1812i | −0.319202 | + | 0.825750i | ||||
\(339\) | 19.9572 | − | 9.20253i | 1.08393 | − | 0.499813i | ||||
\(340\) | 3.02965 | − | 12.0224i | 0.164306 | − | 0.652006i | ||||
\(341\) | 0.292383 | + | 2.96861i | 0.0158334 | + | 0.160759i | ||||
\(342\) | 0.0933986 | − | 0.141112i | 0.00505042 | − | 0.00763049i | ||||
\(343\) | 16.7642 | − | 11.2015i | 0.905181 | − | 0.604823i | ||||
\(344\) | −2.19998 | − | 5.73972i | −0.118615 | − | 0.309465i | ||||
\(345\) | 8.03031 | − | 16.5599i | 0.432338 | − | 0.891552i | ||||
\(346\) | −18.8666 | − | 14.7453i | −1.01428 | − | 0.792711i | ||||
\(347\) | −4.14308 | + | 13.6579i | −0.222412 | + | 0.733194i | 0.772729 | + | 0.634736i | \(0.218891\pi\) |
−0.995141 | + | 0.0984583i | \(0.968609\pi\) | |||||||
\(348\) | 4.69829 | + | 11.7104i | 0.251855 | + | 0.627745i | ||||
\(349\) | −9.27169 | + | 7.60908i | −0.496302 | + | 0.407305i | −0.848968 | − | 0.528445i | \(-0.822775\pi\) |
0.352666 | + | 0.935749i | \(0.385275\pi\) | |||||||
\(350\) | −4.31149 | + | 0.964954i | −0.230459 | + | 0.0515790i | ||||
\(351\) | 5.90926 | + | 2.31105i | 0.315413 | + | 0.123355i | ||||
\(352\) | 12.0910 | − | 12.6094i | 0.644454 | − | 0.672085i | ||||
\(353\) | 14.5406 | + | 14.5406i | 0.773917 | + | 0.773917i | 0.978789 | − | 0.204872i | \(-0.0656778\pi\) |
−0.204872 | + | 0.978789i | \(0.565678\pi\) | |||||||
\(354\) | 26.8891 | + | 12.2566i | 1.42914 | + | 0.651432i | ||||
\(355\) | 8.50924 | − | 6.98335i | 0.451624 | − | 0.370638i | ||||
\(356\) | −3.57785 | − | 4.83856i | −0.189626 | − | 0.256443i | ||||
\(357\) | −12.1770 | − | 1.92755i | −0.644474 | − | 0.102017i | ||||
\(358\) | −9.49091 | + | 1.16373i | −0.501610 | + | 0.0615053i | ||||
\(359\) | 4.97470 | − | 7.44517i | 0.262555 | − | 0.392941i | −0.676646 | − | 0.736308i | \(-0.736567\pi\) |
0.939201 | + | 0.343367i | \(0.111567\pi\) | |||||||
\(360\) | 10.7128 | − | 11.8900i | 0.564613 | − | 0.626658i | ||||
\(361\) | 15.7966 | − | 10.5550i | 0.831400 | − | 0.555524i | ||||
\(362\) | 30.7865 | + | 2.29298i | 1.61810 | + | 0.120517i | ||||
\(363\) | 0.591678 | + | 2.46357i | 0.0310550 | + | 0.129304i | ||||
\(364\) | −3.15673 | + | 4.24371i | −0.165457 | + | 0.222431i | ||||
\(365\) | −8.44085 | − | 27.8257i | −0.441814 | − | 1.45647i | ||||
\(366\) | −0.878999 | + | 0.543845i | −0.0459460 | + | 0.0284272i | ||||
\(367\) | 5.66461 | + | 2.34636i | 0.295690 | + | 0.122479i | 0.525597 | − | 0.850734i | \(-0.323842\pi\) |
−0.229907 | + | 0.973213i | \(0.573842\pi\) | |||||||
\(368\) | 22.4196 | + | 2.27261i | 1.16870 | + | 0.118468i | ||||
\(369\) | −24.6047 | + | 19.4038i | −1.28087 | + | 1.01012i | ||||
\(370\) | −7.87318 | + | 8.25768i | −0.409307 | + | 0.429296i | ||||
\(371\) | 13.2912 | + | 7.10428i | 0.690043 | + | 0.368836i | ||||
\(372\) | −2.96834 | + | 1.54430i | −0.153901 | + | 0.0800680i | ||||
\(373\) | −1.68124 | − | 1.37976i | −0.0870513 | − | 0.0714412i | 0.589861 | − | 0.807505i | \(-0.299182\pi\) |
−0.676912 | + | 0.736064i | \(0.736682\pi\) | |||||||
\(374\) | 6.46307 | − | 12.8172i | 0.334197 | − | 0.662761i | ||||
\(375\) | 1.23721 | − | 21.0105i | 0.0638892 | − | 1.08498i | ||||
\(376\) | −9.20370 | − | 1.15513i | −0.474645 | − | 0.0595711i | ||||
\(377\) | 4.36237 | − | 0.867729i | 0.224673 | − | 0.0446903i | ||||
\(378\) | −12.7315 | − | 9.54850i | −0.654839 | − | 0.491122i | ||||
\(379\) | −6.27160 | + | 3.35224i | −0.322151 | + | 0.172193i | −0.624543 | − | 0.780990i | \(-0.714715\pi\) |
0.302392 | + | 0.953184i | \(0.402215\pi\) | |||||||
\(380\) | −0.136105 | + | 0.0641359i | −0.00698204 | + | 0.00329010i | ||||
\(381\) | −0.855541 | − | 21.7265i | −0.0438307 | − | 1.11308i | ||||
\(382\) | 14.8981 | − | 10.4766i | 0.762253 | − | 0.536028i | ||||
\(383\) | 10.5429 | 0.538718 | 0.269359 | − | 0.963040i | \(-0.413188\pi\) | ||||
0.269359 | + | 0.963040i | \(0.413188\pi\) | |||||||
\(384\) | 18.1771 | + | 7.32069i | 0.927597 | + | 0.373582i | ||||
\(385\) | 12.6145 | 0.642895 | ||||||||
\(386\) | −4.80506 | + | 3.37899i | −0.244571 | + | 0.171986i | ||||
\(387\) | −1.14727 | − | 6.41803i | −0.0583192 | − | 0.326247i | ||||
\(388\) | −1.07476 | − | 2.28079i | −0.0545628 | − | 0.115790i | ||||
\(389\) | −25.2276 | + | 13.4844i | −1.27909 | + | 0.683689i | −0.964134 | − | 0.265417i | \(-0.914490\pi\) |
−0.314958 | + | 0.949106i | \(0.601990\pi\) | |||||||
\(390\) | −3.42425 | − | 4.48352i | −0.173394 | − | 0.227032i | ||||
\(391\) | 18.1603 | − | 3.61231i | 0.918407 | − | 0.182683i | ||||
\(392\) | −5.15914 | + | 4.00854i | −0.260576 | + | 0.202462i | ||||
\(393\) | −14.3586 | − | 0.845509i | −0.724295 | − | 0.0426503i | ||||
\(394\) | −6.17393 | + | 12.2438i | −0.311038 | + | 0.616833i | ||||
\(395\) | 11.9618 | + | 9.81683i | 0.601865 | + | 0.493938i | ||||
\(396\) | 15.1102 | − | 10.7248i | 0.759317 | − | 0.538940i | ||||
\(397\) | −19.1543 | − | 10.2382i | −0.961328 | − | 0.513841i | −0.0854340 | − | 0.996344i | \(-0.527228\pi\) |
−0.875894 | + | 0.482503i | \(0.839728\pi\) | |||||||
\(398\) | −11.6034 | + | 12.1700i | −0.581625 | + | 0.610029i | ||||
\(399\) | 0.0756646 | + | 0.129070i | 0.00378797 | + | 0.00646160i | ||||
\(400\) | 5.52653 | − | 1.65929i | 0.276327 | − | 0.0829644i | ||||
\(401\) | −9.83341 | − | 4.07313i | −0.491057 | − | 0.203403i | 0.123393 | − | 0.992358i | \(-0.460622\pi\) |
−0.614451 | + | 0.788955i | \(0.710622\pi\) | |||||||
\(402\) | −14.6950 | − | 23.7511i | −0.732921 | − | 1.18460i | ||||
\(403\) | 0.342389 | + | 1.12870i | 0.0170556 | + | 0.0562248i | ||||
\(404\) | 13.9612 | + | 10.3852i | 0.694596 | + | 0.516682i | ||||
\(405\) | 13.5310 | − | 10.2501i | 0.672359 | − | 0.509333i | ||||
\(406\) | −11.1249 | − | 0.828586i | −0.552120 | − | 0.0411220i | ||||
\(407\) | −10.9835 | + | 7.33892i | −0.544430 | + | 0.363777i | ||||
\(408\) | 16.0427 | + | 1.37495i | 0.794234 | + | 0.0680701i | ||||
\(409\) | 0.449547 | − | 0.672795i | 0.0222287 | − | 0.0332676i | −0.820189 | − | 0.572093i | \(-0.806132\pi\) |
0.842418 | + | 0.538825i | \(0.181132\pi\) | |||||||
\(410\) | 27.6538 | − | 3.39079i | 1.36573 | − | 0.167459i | ||||
\(411\) | 5.92971 | − | 37.4599i | 0.292491 | − | 1.84776i | ||||
\(412\) | 21.6200 | − | 15.9869i | 1.06514 | − | 0.787616i | ||||
\(413\) | −20.1962 | + | 16.5746i | −0.993789 | + | 0.815581i | ||||
\(414\) | 22.9024 | + | 6.83816i | 1.12559 | + | 0.336077i | ||||
\(415\) | 9.24034 | + | 9.24034i | 0.453590 | + | 0.453590i | ||||
\(416\) | 3.71633 | − | 5.82278i | 0.182208 | − | 0.285485i | ||||
\(417\) | −8.33263 | + | 11.0097i | −0.408050 | + | 0.539148i | ||||
\(418\) | −0.169994 | + | 0.0380462i | −0.00831466 | + | 0.00186090i | ||||
\(419\) | −5.85880 | + | 4.80820i | −0.286221 | + | 0.234896i | −0.766537 | − | 0.642200i | \(-0.778022\pi\) |
0.480316 | + | 0.877095i | \(0.340522\pi\) | |||||||
\(420\) | 5.26875 | + | 13.1323i | 0.257089 | + | 0.640790i | ||||
\(421\) | 0.467083 | − | 1.53977i | 0.0227642 | − | 0.0750436i | −0.944822 | − | 0.327583i | \(-0.893766\pi\) |
0.967587 | + | 0.252540i | \(0.0812658\pi\) | |||||||
\(422\) | 26.9291 | + | 21.0465i | 1.31089 | + | 1.02453i | ||||
\(423\) | −9.35758 | − | 3.03865i | −0.454981 | − | 0.147744i | ||||
\(424\) | −17.9771 | − | 8.01470i | −0.873048 | − | 0.389228i | ||||
\(425\) | 3.94224 | − | 2.63412i | 0.191227 | − | 0.127774i | ||||
\(426\) | 10.7269 | + | 9.45024i | 0.519721 | + | 0.457865i | ||||
\(427\) | −0.0895747 | − | 0.909468i | −0.00433483 | − | 0.0440122i | ||||
\(428\) | 32.3320 | + | 8.14767i | 1.56283 | + | 0.393833i | ||||
\(429\) | −2.73509 | − | 5.93150i | −0.132051 | − | 0.286376i | ||||
\(430\) | −2.09012 | + | 5.40696i | −0.100794 | + | 0.260747i | ||||
\(431\) | −12.5235 | − | 5.18742i | −0.603238 | − | 0.249869i | 0.0600962 | − | 0.998193i | \(-0.480859\pi\) |
−0.663334 | + | 0.748323i | \(0.730859\pi\) | |||||||
\(432\) | 17.4761 | + | 11.2510i | 0.840821 | + | 0.541313i | ||||
\(433\) | −17.3936 | + | 7.20467i | −0.835883 | + | 0.346234i | −0.759229 | − | 0.650824i | \(-0.774424\pi\) |
−0.0766543 | + | 0.997058i | \(0.524424\pi\) | |||||||
\(434\) | −0.0704957 | − | 2.95748i | −0.00338390 | − | 0.141964i | ||||
\(435\) | 4.11757 | − | 11.1642i | 0.197423 | − | 0.535281i | ||||
\(436\) | −1.92987 | + | 38.1745i | −0.0924241 | + | 1.82823i | ||||
\(437\) | −0.173697 | − | 0.142550i | −0.00830907 | − | 0.00681908i | ||||
\(438\) | 33.9065 | − | 16.6256i | 1.62011 | − | 0.794404i | ||||
\(439\) | −11.0282 | − | 2.19365i | −0.526348 | − | 0.104697i | −0.0752384 | − | 0.997166i | \(-0.523972\pi\) |
−0.451110 | + | 0.892468i | \(0.648972\pi\) | |||||||
\(440\) | −16.4329 | + | 1.17689i | −0.783406 | + | 0.0561058i | ||||
\(441\) | −6.17386 | + | 3.14710i | −0.293993 | + | 0.149862i | ||||
\(442\) | 1.51772 | − | 5.46920i | 0.0721908 | − | 0.260143i | ||||
\(443\) | −13.6504 | + | 7.29630i | −0.648551 | + | 0.346658i | −0.762650 | − | 0.646812i | \(-0.776102\pi\) |
0.114099 | + | 0.993469i | \(0.463602\pi\) | |||||||
\(444\) | −12.2277 | − | 8.36902i | −0.580299 | − | 0.397176i | ||||
\(445\) | −0.556251 | + | 5.64772i | −0.0263688 | + | 0.267727i | ||||
\(446\) | −39.6248 | − | 6.90461i | −1.87629 | − | 0.326943i | ||||
\(447\) | −23.9669 | + | 3.31716i | −1.13360 | + | 0.156896i | ||||
\(448\) | −12.8868 | + | 11.5800i | −0.608843 | + | 0.547105i | ||||
\(449\) | 0.607048 | 0.0286484 | 0.0143242 | − | 0.999897i | \(-0.495440\pi\) | ||||
0.0143242 | + | 0.999897i | \(0.495440\pi\) | |||||||
\(450\) | 6.08812 | − | 0.626515i | 0.286997 | − | 0.0295342i | ||||
\(451\) | 32.1016 | + | 3.16173i | 1.51161 | + | 0.148880i | ||||
\(452\) | −1.20909 | − | 25.3478i | −0.0568706 | − | 1.19226i | ||||
\(453\) | −14.9670 | − | 20.5965i | −0.703209 | − | 0.967707i | ||||
\(454\) | −10.4088 | + | 37.5087i | −0.488509 | + | 1.76037i | ||||
\(455\) | 4.89204 | − | 0.973087i | 0.229342 | − | 0.0456190i | ||||
\(456\) | −0.110610 | − | 0.161080i | −0.00517978 | − | 0.00754327i | ||||
\(457\) | −3.63099 | + | 18.2542i | −0.169851 | + | 0.853897i | 0.798055 | + | 0.602584i | \(0.205862\pi\) |
−0.967906 | + | 0.251313i | \(0.919138\pi\) | |||||||
\(458\) | 11.1409 | + | 33.8048i | 0.520580 | + | 1.57959i | ||||
\(459\) | 16.4383 | + | 4.63142i | 0.767274 | + | 0.216176i | ||||
\(460\) | −14.2491 | − | 15.7665i | −0.664368 | − | 0.735117i | ||||
\(461\) | 18.3993 | + | 9.83462i | 0.856940 | + | 0.458044i | 0.840494 | − | 0.541821i | \(-0.182265\pi\) |
0.0164458 | + | 0.999865i | \(0.494765\pi\) | |||||||
\(462\) | 2.63207 | + | 16.1696i | 0.122455 | + | 0.752277i | ||||
\(463\) | 4.13121 | + | 9.97363i | 0.191994 | + | 0.463514i | 0.990336 | − | 0.138690i | \(-0.0442893\pi\) |
−0.798342 | + | 0.602204i | \(0.794289\pi\) | |||||||
\(464\) | 14.5697 | + | 0.0414827i | 0.676381 | + | 0.00192579i | ||||
\(465\) | 3.05333 | + | 0.796470i | 0.141595 | + | 0.0369354i | ||||
\(466\) | −8.28471 | + | 21.4319i | −0.383782 | + | 0.992811i | ||||
\(467\) | 6.87505 | + | 22.6640i | 0.318139 | + | 1.04876i | 0.959543 | + | 0.281561i | \(0.0908523\pi\) |
−0.641404 | + | 0.767203i | \(0.721648\pi\) | |||||||
\(468\) | 5.03259 | − | 5.32479i | 0.232632 | − | 0.246138i | ||||
\(469\) | 24.5744 | − | 2.42036i | 1.13474 | − | 0.111762i | ||||
\(470\) | 5.70906 | + | 6.62792i | 0.263339 | + | 0.305723i | ||||
\(471\) | −22.5436 | − | 25.3647i | −1.03875 | − | 1.16874i | ||||
\(472\) | 24.7631 | − | 23.4759i | 1.13982 | − | 1.08056i | ||||
\(473\) | −3.72872 | + | 5.58043i | −0.171447 | + | 0.256588i | ||||
\(474\) | −10.0875 | + | 17.3813i | −0.463336 | + | 0.798349i | ||||
\(475\) | −0.0550604 | − | 0.0167024i | −0.00252635 | − | 0.000766359i | ||||
\(476\) | −7.33606 | + | 12.2001i | −0.336248 | + | 0.559189i | ||||
\(477\) | −17.1294 | − | 11.9341i | −0.784303 | − | 0.546425i | ||||
\(478\) | −3.59204 | + | 0.803934i | −0.164296 | + | 0.0367711i | ||||
\(479\) | −17.2912 | − | 17.2912i | −0.790056 | − | 0.790056i | 0.191447 | − | 0.981503i | \(-0.438682\pi\) |
−0.981503 | + | 0.191447i | \(0.938682\pi\) | |||||||
\(480\) | −8.08877 | − | 16.6158i | −0.369200 | − | 0.758405i | ||||
\(481\) | −3.69338 | + | 3.69338i | −0.168403 | + | 0.168403i | ||||
\(482\) | −7.35324 | + | 11.5938i | −0.334931 | + | 0.528082i | ||||
\(483\) | −14.3430 | + | 15.5189i | −0.652630 | + | 0.706135i | ||||
\(484\) | 2.89329 | + | 0.433390i | 0.131513 | + | 0.0196996i | ||||
\(485\) | −0.690228 | + | 2.27538i | −0.0313417 | + | 0.103320i | ||||
\(486\) | 15.9622 | + | 15.2056i | 0.724058 | + | 0.689739i | ||||
\(487\) | 10.1440 | + | 6.77800i | 0.459668 | + | 0.307141i | 0.763758 | − | 0.645503i | \(-0.223352\pi\) |
−0.304089 | + | 0.952643i | \(0.598352\pi\) | |||||||
\(488\) | 0.201538 | + | 1.17640i | 0.00912322 | + | 0.0532532i | ||||
\(489\) | 19.7022 | + | 22.1677i | 0.890963 | + | 1.00246i | ||||
\(490\) | 6.14435 | + | 0.457632i | 0.277573 | + | 0.0206737i | ||||
\(491\) | −2.60952 | − | 26.4949i | −0.117766 | − | 1.19570i | −0.854477 | − | 0.519490i | \(-0.826122\pi\) |
0.736711 | − | 0.676208i | \(-0.236378\pi\) | |||||||
\(492\) | 10.1165 | + | 34.7398i | 0.456087 | + | 1.56619i | ||||
\(493\) | 11.4562 | − | 3.47519i | 0.515959 | − | 0.156515i | ||||
\(494\) | −0.0629904 | + | 0.0278681i | −0.00283407 | + | 0.00125384i | ||||
\(495\) | −17.3536 | − | 2.05085i | −0.779985 | − | 0.0921789i | ||||
\(496\) | 0.367756 | + | 3.84612i | 0.0165127 | + | 0.172696i | ||||
\(497\) | −11.6773 | + | 4.83690i | −0.523799 | + | 0.216965i | ||||
\(498\) | −9.91644 | + | 13.7725i | −0.444366 | + | 0.617161i | ||||
\(499\) | −9.67251 | + | 18.0960i | −0.433001 | + | 0.810088i | −0.999906 | − | 0.0136953i | \(-0.995641\pi\) |
0.566905 | + | 0.823783i | \(0.308141\pi\) | |||||||
\(500\) | −21.9547 | − | 10.4221i | −0.981844 | − | 0.466089i | ||||
\(501\) | −34.9938 | − | 21.4400i | −1.56341 | − | 0.957869i | ||||
\(502\) | 1.84423 | − | 3.65737i | 0.0823119 | − | 0.163236i | ||||
\(503\) | 19.2448 | + | 3.82803i | 0.858083 | + | 0.170683i | 0.604475 | − | 0.796624i | \(-0.293383\pi\) |
0.253607 | + | 0.967307i | \(0.418383\pi\) | |||||||
\(504\) | −15.7339 | + | 9.49372i | −0.700845 | + | 0.422884i | ||||
\(505\) | −3.20132 | − | 16.0941i | −0.142457 | − | 0.716178i | ||||
\(506\) | −12.1122 | − | 21.4166i | −0.538455 | − | 0.952085i | ||||
\(507\) | 11.7183 | + | 16.1259i | 0.520428 | + | 0.716176i | ||||
\(508\) | −23.6273 | − | 8.49195i | −1.04829 | − | 0.376770i | ||||
\(509\) | −3.13586 | + | 31.8389i | −0.138994 | + | 1.41123i | 0.632285 | + | 0.774736i | \(0.282117\pi\) |
−0.771279 | + | 0.636497i | \(0.780383\pi\) | |||||||
\(510\) | −10.3551 | − | 11.1062i | −0.458530 | − | 0.491791i | ||||
\(511\) | 33.3875i | 1.47698i | ||||||||
\(512\) | 15.7072 | − | 16.2876i | 0.694166 | − | 0.719815i | ||||
\(513\) | −0.0831065 | − | 0.189861i | −0.00366924 | − | 0.00838259i | ||||
\(514\) | 0.485364 | − | 0.341316i | 0.0214085 | − | 0.0150548i | ||||
\(515\) | −25.2356 | − | 2.48549i | −1.11201 | − | 0.109524i | ||||
\(516\) | −7.36688 | − | 1.55097i | −0.324309 | − | 0.0682778i | ||||
\(517\) | 4.77429 | + | 8.93206i | 0.209973 | + | 0.392832i | ||||
\(518\) | 11.4032 | − | 6.44910i | 0.501027 | − | 0.283357i | ||||
\(519\) | −27.7072 | + | 9.61075i | −1.21621 | + | 0.421865i | ||||
\(520\) | −6.28205 | + | 1.72405i | −0.275486 | + | 0.0756044i | ||||
\(521\) | −1.52186 | + | 7.65092i | −0.0666740 | + | 0.335193i | −0.999697 | − | 0.0246244i | \(-0.992161\pi\) |
0.933023 | + | 0.359817i | \(0.117161\pi\) | |||||||
\(522\) | 15.1697 | + | 2.94855i | 0.663958 | + | 0.129054i | ||||
\(523\) | 16.3659 | − | 19.9419i | 0.715629 | − | 0.871997i | −0.280504 | − | 0.959853i | \(-0.590502\pi\) |
0.996133 | + | 0.0878562i | \(0.0280016\pi\) | |||||||
\(524\) | −7.12245 | + | 15.0039i | −0.311146 | + | 0.655447i | ||||
\(525\) | −1.87243 | + | 5.07682i | −0.0817197 | + | 0.221571i | ||||
\(526\) | 14.0127 | − | 14.6970i | 0.610983 | − | 0.640821i | ||||
\(527\) | 1.21490 | + | 2.93303i | 0.0529219 | + | 0.127765i | ||||
\(528\) | −4.93735 | − | 20.8185i | −0.214871 | − | 0.906008i | ||||
\(529\) | 3.34377 | − | 8.07259i | 0.145382 | − | 0.350982i | ||||
\(530\) | 7.51003 | + | 16.9750i | 0.326215 | + | 0.737345i | ||||
\(531\) | 30.4782 | − | 19.5179i | 1.32264 | − | 0.847004i | ||||
\(532\) | 0.170925 | − | 0.0251057i | 0.00741055 | − | 0.00108847i | ||||
\(533\) | 12.6932 | − | 1.25017i | 0.549805 | − | 0.0541511i | ||||
\(534\) | −7.35544 | + | 0.465405i | −0.318301 | + | 0.0201400i | ||||
\(535\) | −17.4695 | − | 26.1449i | −0.755271 | − | 1.13034i | ||||
\(536\) | −31.7871 | + | 5.44569i | −1.37299 | + | 0.235218i | ||||
\(537\) | −5.10987 | + | 10.5374i | −0.220507 | + | 0.454722i | ||||
\(538\) | 5.50761 | − | 0.675320i | 0.237450 | − | 0.0291151i | ||||
\(539\) | 6.82636 | + | 2.07075i | 0.294032 | + | 0.0891936i | ||||
\(540\) | −5.11310 | − | 18.9225i | −0.220033 | − | 0.814293i | ||||
\(541\) | 3.04038 | + | 3.70472i | 0.130716 | + | 0.159278i | 0.834255 | − | 0.551378i | \(-0.185898\pi\) |
−0.703539 | + | 0.710657i | \(0.748398\pi\) | |||||||
\(542\) | −2.59047 | − | 1.64298i | −0.111270 | − | 0.0705722i | ||||
\(543\) | 22.8178 | − | 30.1487i | 0.979207 | − | 1.29381i | ||||
\(544\) | 8.41844 | − | 16.5774i | 0.360937 | − | 0.710750i | ||||
\(545\) | 25.4889 | − | 25.4889i | 1.09182 | − | 1.09182i | ||||
\(546\) | 2.26807 | + | 6.06769i | 0.0970645 | + | 0.259673i | ||||
\(547\) | −14.3611 | − | 17.4990i | −0.614036 | − | 0.748205i | 0.369438 | − | 0.929256i | \(-0.379550\pi\) |
−0.983474 | + | 0.181050i | \(0.942050\pi\) | |||||||
\(548\) | −37.5309 | − | 22.5678i | −1.60324 | − | 0.964050i | ||||
\(549\) | −0.0246336 | + | 1.26570i | −0.00105134 | + | 0.0540188i | ||||
\(550\) | −4.96405 | − | 3.87967i | −0.211668 | − | 0.165430i | ||||
\(551\) | −0.120798 | − | 0.0807144i | −0.00514615 | − | 0.00343855i | ||||
\(552\) | 17.2367 | − | 21.5546i | 0.733644 | − | 0.917424i | ||||
\(553\) | −9.87129 | − | 14.7734i | −0.419770 | − | 0.628230i | ||||
\(554\) | 5.41848 | − | 4.66729i | 0.230209 | − | 0.198294i | ||||
\(555\) | 3.26328 | + | 13.5873i | 0.138519 | + | 0.576750i | ||||
\(556\) | 8.17713 | + | 13.6869i | 0.346787 | + | 0.580452i | ||||
\(557\) | −16.3648 | + | 4.96422i | −0.693400 | + | 0.210341i | −0.617263 | − | 0.786757i | \(-0.711759\pi\) |
−0.0761370 | + | 0.997097i | \(0.524259\pi\) | |||||||
\(558\) | −0.383843 | + | 4.08001i | −0.0162494 | + | 0.172721i | ||||
\(559\) | −1.01556 | + | 2.45178i | −0.0429537 | + | 0.103699i | ||||
\(560\) | 16.3387 | + | 0.0465195i | 0.690437 | + | 0.00196581i | ||||
\(561\) | −8.89108 | − | 15.1666i | −0.375382 | − | 0.640334i | ||||
\(562\) | 0.605489 | + | 25.4019i | 0.0255410 | + | 1.07151i | ||||
\(563\) | −1.18649 | + | 2.21978i | −0.0500048 | + | 0.0935524i | −0.905682 | − | 0.423957i | \(-0.860641\pi\) |
0.855678 | + | 0.517509i | \(0.173141\pi\) | |||||||
\(564\) | −7.30460 | + | 8.70095i | −0.307579 | + | 0.366376i | ||||
\(565\) | −15.1820 | + | 18.4994i | −0.638714 | + | 0.778275i | ||||
\(566\) | −13.7560 | + | 4.53352i | −0.578209 | + | 0.190558i | ||||
\(567\) | −18.2839 | + | 6.75256i | −0.767852 | + | 0.283581i | ||||
\(568\) | 14.7607 | − | 7.39047i | 0.619347 | − | 0.310097i | ||||
\(569\) | −4.08400 | − | 20.5316i | −0.171210 | − | 0.860731i | −0.966925 | − | 0.255060i | \(-0.917905\pi\) |
0.795715 | − | 0.605671i | \(-0.207095\pi\) | |||||||
\(570\) | −0.0244655 | + | 0.182643i | −0.00102475 | + | 0.00765006i | ||||
\(571\) | 4.84449 | + | 9.06339i | 0.202735 | + | 0.379291i | 0.962657 | − | 0.270723i | \(-0.0872628\pi\) |
−0.759922 | + | 0.650014i | \(0.774763\pi\) | |||||||
\(572\) | −7.53362 | + | 0.359353i | −0.314996 | + | 0.0150253i | ||||
\(573\) | −0.877689 | − | 22.2890i | −0.0366660 | − | 0.931134i | ||||
\(574\) | −31.5154 | − | 5.49156i | −1.31543 | − | 0.229213i | ||||
\(575\) | − | 8.12685i | − | 0.338913i | ||||||
\(576\) | 19.6108 | − | 13.8353i | 0.817116 | − | 0.576473i | ||||
\(577\) | 42.6955i | 1.77744i | 0.458455 | + | 0.888718i | \(0.348403\pi\) | ||||
−0.458455 | + | 0.888718i | \(0.651597\pi\) | |||||||
\(578\) | −1.50456 | + | 8.63449i | −0.0625814 | + | 0.359147i | ||||
\(579\) | 0.283079 | + | 7.18881i | 0.0117644 | + | 0.298757i | ||||
\(580\) | −10.1676 | − | 9.24179i | −0.422187 | − | 0.383744i | ||||
\(581\) | −7.07313 | − | 13.2329i | −0.293443 | − | 0.548993i | ||||
\(582\) | −3.06065 | − | 0.409983i | −0.126868 | − | 0.0169943i | ||||
\(583\) | 4.19265 | + | 21.0779i | 0.173642 | + | 0.872957i | ||||
\(584\) | −3.11493 | − | 43.4938i | −0.128897 | − | 1.79979i | ||||
\(585\) | −6.88810 | + | 0.543318i | −0.284788 | + | 0.0224634i | ||||
\(586\) | 2.79506 | + | 8.48102i | 0.115463 | + | 0.350348i | ||||
\(587\) | −7.34071 | + | 8.94468i | −0.302983 | + | 0.369186i | −0.902138 | − | 0.431447i | \(-0.858003\pi\) |
0.599155 | + | 0.800633i | \(0.295503\pi\) | |||||||
\(588\) | 0.695442 | + | 7.97145i | 0.0286795 | + | 0.328737i | ||||
\(589\) | 0.0181612 | − | 0.0339773i | 0.000748321 | − | 0.00140001i | ||||
\(590\) | −32.1701 | + | 0.766821i | −1.32442 | + | 0.0315695i | ||||
\(591\) | 8.49332 | + | 14.4881i | 0.349368 | + | 0.595960i | ||||
\(592\) | −14.2532 | + | 9.46509i | −0.585803 | + | 0.389013i | ||||
\(593\) | 6.86150 | − | 16.5651i | 0.281768 | − | 0.680248i | −0.718109 | − | 0.695931i | \(-0.754992\pi\) |
0.999877 | + | 0.0156825i | \(0.00499211\pi\) | |||||||
\(594\) | −0.992071 | − | 22.6721i | −0.0407052 | − | 0.930249i | ||||
\(595\) | 12.8471 | − | 3.89714i | 0.526681 | − | 0.159767i | ||||
\(596\) | −6.82706 | + | 27.0914i | −0.279647 | + | 1.10971i | ||||
\(597\) | 4.80938 | + | 20.0248i | 0.196835 | + | 0.819560i | ||||
\(598\) | −6.34934 | − | 7.37125i | −0.259644 | − | 0.301433i | ||||
\(599\) | −24.3493 | − | 36.4414i | −0.994887 | − | 1.48895i | −0.867708 | − | 0.497073i | \(-0.834408\pi\) |
−0.127178 | − | 0.991880i | \(-0.540592\pi\) | |||||||
\(600\) | 1.96556 | − | 6.78824i | 0.0802438 | − | 0.277129i | ||||
\(601\) | 12.8798 | + | 8.60600i | 0.525378 | + | 0.351046i | 0.789804 | − | 0.613360i | \(-0.210182\pi\) |
−0.264426 | + | 0.964406i | \(0.585182\pi\) | |||||||
\(602\) | 4.09875 | − | 5.24436i | 0.167052 | − | 0.213744i | ||||
\(603\) | −34.2000 | − | 0.665614i | −1.39273 | − | 0.0271059i | ||||
\(604\) | −28.5281 | + | 7.10276i | −1.16079 | + | 0.289007i | ||||
\(605\) | −1.75028 | − | 2.13273i | −0.0711591 | − | 0.0867076i | ||||
\(606\) | 19.9618 | − | 7.46163i | 0.810894 | − | 0.303108i | ||||
\(607\) | −7.41120 | + | 7.41120i | −0.300811 | + | 0.300811i | −0.841331 | − | 0.540520i | \(-0.818228\pi\) |
0.540520 | + | 0.841331i | \(0.318228\pi\) | |||||||
\(608\) | −0.220321 | + | 0.0486518i | −0.00893521 | + | 0.00197309i | ||||
\(609\) | −8.24539 | + | 10.8945i | −0.334120 | + | 0.441466i | ||||
\(610\) | 0.602859 | − | 0.950521i | 0.0244090 | − | 0.0384855i | ||||
\(611\) | 2.54054 | + | 3.09566i | 0.102779 | + | 0.125237i | ||||
\(612\) | 12.0756 | − | 15.5907i | 0.488126 | − | 0.630218i | ||||
\(613\) | 5.49291 | + | 1.66626i | 0.221856 | + | 0.0672994i | 0.399256 | − | 0.916839i | \(-0.369268\pi\) |
−0.177400 | + | 0.984139i | \(0.556768\pi\) | |||||||
\(614\) | −0.474494 | − | 3.86977i | −0.0191490 | − | 0.156171i | ||||
\(615\) | 14.8887 | − | 30.7030i | 0.600371 | − | 1.23806i | ||||
\(616\) | 18.4482 | + | 4.18409i | 0.743300 | + | 0.168582i | ||||
\(617\) | 11.5251 | + | 17.2485i | 0.463981 | + | 0.694397i | 0.987500 | − | 0.157617i | \(-0.0503811\pi\) |
−0.523519 | + | 0.852014i | \(0.675381\pi\) | |||||||
\(618\) | −2.07956 | − | 32.8661i | −0.0836521 | − | 1.32207i | ||||
\(619\) | −15.2481 | + | 1.50181i | −0.612872 | + | 0.0603626i | −0.399691 | − | 0.916650i | \(-0.630883\pi\) |
−0.213181 | + | 0.977013i | \(0.568383\pi\) | |||||||
\(620\) | 2.17469 | − | 2.92352i | 0.0873376 | − | 0.117411i | ||||
\(621\) | 22.2545 | − | 19.0172i | 0.893042 | − | 0.763136i | ||||
\(622\) | −26.3575 | + | 11.6610i | −1.05684 | + | 0.467565i | ||||
\(623\) | 2.49363 | − | 6.02014i | 0.0999050 | − | 0.241192i | ||||
\(624\) | −3.52070 | − | 7.69275i | −0.140941 | − | 0.307957i | ||||
\(625\) | 6.01050 | + | 14.5106i | 0.240420 | + | 0.580425i | ||||
\(626\) | −17.5847 | − | 16.7659i | −0.702828 | − | 0.670102i | ||||
\(627\) | −0.0738264 | + | 0.200169i | −0.00294834 | + | 0.00799398i | ||||
\(628\) | −36.9129 | + | 13.1484i | −1.47298 | + | 0.524678i | ||||
\(629\) | −8.91873 | + | 10.8675i | −0.355613 | + | 0.433316i | ||||
\(630\) | 17.0115 | + | 3.30655i | 0.677755 | + | 0.131736i | ||||
\(631\) | −6.28728 | + | 31.6083i | −0.250293 | + | 1.25831i | 0.627254 | + | 0.778815i | \(0.284179\pi\) |
−0.877546 | + | 0.479492i | \(0.840821\pi\) | |||||||
\(632\) | 14.2376 | + | 18.3243i | 0.566341 | + | 0.728903i | ||||
\(633\) | 39.5477 | − | 13.7178i | 1.57188 | − | 0.545235i | ||||
\(634\) | 11.1963 | + | 19.7970i | 0.444661 | + | 0.786240i | ||||
\(635\) | 11.1615 | + | 20.8816i | 0.442929 | + | 0.828662i | ||||
\(636\) | −20.1919 | + | 13.1684i | −0.800661 | + | 0.522162i | ||||
\(637\) | 2.80707 | + | 0.276472i | 0.111220 | + | 0.0109542i | ||||
\(638\) | −9.15074 | − | 13.0127i | −0.362281 | − | 0.515179i | ||||
\(639\) | 16.8507 | − | 4.75556i | 0.666602 | − | 0.188127i | ||||
\(640\) | −21.2887 | + | 1.46374i | −0.841510 | + | 0.0578593i | ||||
\(641\) | − | 15.2479i | − | 0.602255i | −0.953584 | − | 0.301127i | \(-0.902637\pi\) | ||
0.953584 | − | 0.301127i | \(-0.0973629\pi\) | |||||||
\(642\) | 29.8681 | − | 27.8480i | 1.17880 | − | 1.09907i | ||||
\(643\) | −3.28565 | + | 33.3597i | −0.129573 | + | 1.31558i | 0.682010 | + | 0.731343i | \(0.261106\pi\) |
−0.811583 | + | 0.584237i | \(0.801394\pi\) | |||||||
\(644\) | 10.4014 | + | 22.0731i | 0.409872 | + | 0.869803i | ||||
\(645\) | 4.17360 | + | 5.74341i | 0.164335 | + | 0.226147i | ||||
\(646\) | −0.161374 | + | 0.0912658i | −0.00634919 | + | 0.00359081i | ||||
\(647\) | 3.97702 | + | 19.9938i | 0.156353 | + | 0.786039i | 0.976773 | + | 0.214278i | \(0.0687397\pi\) |
−0.820420 | + | 0.571761i | \(0.806260\pi\) | |||||||
\(648\) | 23.1884 | − | 10.5023i | 0.910925 | − | 0.412571i | ||||
\(649\) | −36.5407 | − | 7.26841i | −1.43435 | − | 0.285310i | ||||
\(650\) | −2.22439 | − | 1.12165i | −0.0872478 | − | 0.0439947i | ||||
\(651\) | −3.08944 | − | 1.89284i | −0.121085 | − | 0.0741862i | ||||
\(652\) | 32.2603 | − | 11.4912i | 1.26341 | − | 0.450028i | ||||
\(653\) | 11.9486 | − | 22.3542i | 0.467583 | − | 0.874787i | −0.532023 | − | 0.846730i | \(-0.678568\pi\) |
0.999606 | − | 0.0280569i | \(-0.00893197\pi\) | |||||||
\(654\) | 37.9906 | + | 27.3539i | 1.48555 | + | 1.06962i | ||||
\(655\) | 14.4706 | − | 5.99392i | 0.565413 | − | 0.234202i | ||||
\(656\) | 41.5674 | + | 4.21356i | 1.62293 | + | 0.164512i | ||||
\(657\) | 5.42810 | − | 45.9307i | 0.211770 | − | 1.79193i | ||||
\(658\) | −4.06381 | − | 9.18544i | −0.158424 | − | 0.358086i | ||||
\(659\) | −11.9462 | + | 3.62383i | −0.465357 | + | 0.141165i | −0.514252 | − | 0.857639i | \(-0.671930\pi\) |
0.0488944 | + | 0.998804i | \(0.484430\pi\) | |||||||
\(660\) | −9.70955 | + | 17.6879i | −0.377944 | + | 0.688500i | ||||
\(661\) | −2.61621 | − | 26.5629i | −0.101759 | − | 1.03318i | −0.901485 | − | 0.432810i | \(-0.857522\pi\) |
0.799726 | − | 0.600365i | \(-0.204978\pi\) | |||||||
\(662\) | 0.886649 | − | 11.9045i | 0.0344606 | − | 0.462682i | ||||
\(663\) | −4.61801 | − | 5.19591i | −0.179349 | − | 0.201792i | ||||
\(664\) | 10.4487 | + | 16.5786i | 0.405489 | + | 0.643373i | ||||
\(665\) | −0.135465 | − | 0.0905146i | −0.00525310 | − | 0.00351001i | ||||
\(666\) | −16.7356 | + | 7.01801i | −0.648493 | + | 0.271942i | ||||
\(667\) | 5.95668 | − | 19.6365i | 0.230643 | − | 0.760329i | ||||
\(668\) | −38.1028 | + | 28.1750i | −1.47424 | + | 1.09012i | ||||
\(669\) | −33.4356 | + | 36.1768i | −1.29269 | + | 1.39868i | ||||
\(670\) | 25.6836 | + | 16.2896i | 0.992245 | + | 0.629322i | ||||
\(671\) | 0.921485 | − | 0.921485i | 0.0355735 | − | 0.0355735i | ||||
\(672\) | 3.34951 | + | 20.9530i | 0.129210 | + | 0.808281i | ||||
\(673\) | −33.2637 | − | 33.2637i | −1.28222 | − | 1.28222i | −0.939400 | − | 0.342823i | \(-0.888617\pi\) |
−0.342823 | − | 0.939400i | \(-0.611383\pi\) | |||||||
\(674\) | 1.38588 | + | 6.19222i | 0.0533821 | + | 0.238515i | ||||
\(675\) | 3.40126 | − | 6.67968i | 0.130914 | − | 0.257101i | ||||
\(676\) | 22.3359 | − | 5.56107i | 0.859072 | − | 0.213887i | ||||
\(677\) | −17.6722 | − | 5.36080i | −0.679198 | − | 0.206032i | −0.0682083 | − | 0.997671i | \(-0.521728\pi\) |
−0.610990 | + | 0.791639i | \(0.709228\pi\) | |||||||
\(678\) | −26.8807 | − | 15.6007i | −1.03235 | − | 0.599142i | ||||
\(679\) | 1.51681 | − | 2.27006i | 0.0582097 | − | 0.0871169i | ||||
\(680\) | −16.3723 | + | 6.27537i | −0.627850 | + | 0.240650i | ||||
\(681\) | 31.6711 | + | 35.6344i | 1.21364 | + | 1.36551i | ||||
\(682\) | 3.19629 | − | 2.75318i | 0.122392 | − | 0.105425i | ||||
\(683\) | 2.62778 | − | 0.258814i | 0.100549 | − | 0.00990325i | −0.0476173 | − | 0.998866i | \(-0.515163\pi\) |
0.148167 | + | 0.988962i | \(0.452663\pi\) | |||||||
\(684\) | −0.239221 | + | 0.00674874i | −0.00914683 | + | 0.000258044i | ||||
\(685\) | 11.9887 | + | 39.5215i | 0.458065 | + | 1.51004i | ||||
\(686\) | −26.5956 | − | 10.2808i | −1.01543 | − | 0.392523i | ||||
\(687\) | 42.1812 | + | 11.0031i | 1.60931 | + | 0.419794i | ||||
\(688\) | −4.85014 | + | 7.21420i | −0.184910 | + | 0.275039i | ||||
\(689\) | 3.25191 | + | 7.85080i | 0.123888 | + | 0.299092i | ||||
\(690\) | −25.6894 | + | 4.18170i | −0.977977 | + | 0.159194i | ||||
\(691\) | −35.0797 | − | 18.7505i | −1.33450 | − | 0.713303i | −0.359004 | − | 0.933336i | \(-0.616883\pi\) |
−0.975492 | + | 0.220033i | \(0.929383\pi\) | |||||||
\(692\) | −1.70976 | + | 33.8204i | −0.0649952 | + | 1.28566i | ||||
\(693\) | 18.3840 | + | 8.03751i | 0.698352 | + | 0.305320i | ||||
\(694\) | 19.1701 | − | 6.31781i | 0.727686 | − | 0.239821i | ||||
\(695\) | 2.93331 | − | 14.7468i | 0.111267 | − | 0.559376i | ||||
\(696\) | 9.72482 | − | 14.9614i | 0.368618 | − | 0.567111i | ||||
\(697\) | 33.6704 | − | 6.69746i | 1.27536 | − | 0.253684i | ||||
\(698\) | 16.3448 | + | 4.53573i | 0.618659 | + | 0.171680i | ||||
\(699\) | 16.5431 | + | 22.7655i | 0.625718 | + | 0.861069i | ||||
\(700\) | 4.62364 | + | 4.20263i | 0.174757 | + | 0.158844i | ||||
\(701\) | 15.9101 | + | 1.56701i | 0.600915 | + | 0.0591850i | 0.393901 | − | 0.919153i | \(-0.371125\pi\) |
0.207014 | + | 0.978338i | \(0.433625\pi\) | |||||||
\(702\) | −2.13367 | − | 8.71596i | −0.0805302 | − | 0.328963i | ||||
\(703\) | 0.170609 | 0.00643465 | ||||||||
\(704\) | −24.4228 | − | 3.72945i | −0.920469 | − | 0.140559i | ||||
\(705\) | 10.6126 | − | 1.46884i | 0.399692 | − | 0.0553198i | ||||
\(706\) | 4.99216 | − | 28.6495i | 0.187883 | − | 1.07824i | ||||
\(707\) | −1.84679 | + | 18.7508i | −0.0694557 | + | 0.705195i | ||||
\(708\) | −7.69537 | − | 41.0764i | −0.289210 | − | 1.54375i | ||||
\(709\) | −9.07436 | + | 4.85035i | −0.340795 | + | 0.182159i | −0.632912 | − | 0.774224i | \(-0.718140\pi\) |
0.292117 | + | 0.956383i | \(0.405640\pi\) | |||||||
\(710\) | −15.0007 | − | 4.16274i | −0.562965 | − | 0.156225i | ||||
\(711\) | 11.1779 | + | 21.9284i | 0.419205 | + | 0.822380i | ||||
\(712\) | −2.68678 | + | 8.07506i | −0.100691 | + | 0.302626i | ||||
\(713\) | 5.33704 | + | 1.06160i | 0.199874 | + | 0.0397574i | ||||
\(714\) | 7.67605 | + | 15.6546i | 0.287269 | + | 0.585859i | ||||
\(715\) | 5.49821 | + | 4.51226i | 0.205621 | + | 0.168749i | ||||
\(716\) | 9.06702 | + | 10.0326i | 0.338850 | + | 0.374935i | ||||
\(717\) | −1.55998 | + | 4.22966i | −0.0582586 | + | 0.157960i | ||||
\(718\) | −12.6596 | + | 0.301759i | −0.472452 | + | 0.0112616i | ||||
\(719\) | −15.5452 | + | 6.43903i | −0.579738 | + | 0.240135i | −0.653229 | − | 0.757160i | \(-0.726586\pi\) |
0.0734907 | + | 0.997296i | \(0.476586\pi\) | |||||||
\(720\) | −22.4693 | − | 2.72032i | −0.837382 | − | 0.101380i | ||||
\(721\) | 26.8997 | + | 11.1422i | 1.00180 | + | 0.414958i | ||||
\(722\) | −25.0606 | − | 9.68743i | −0.932658 | − | 0.360529i | ||||
\(723\) | 7.04091 | + | 15.2694i | 0.261854 | + | 0.567875i | ||||
\(724\) | −22.3920 | − | 37.4797i | −0.832193 | − | 1.39292i | ||||
\(725\) | −0.515026 | − | 5.22914i | −0.0191276 | − | 0.194206i | ||||
\(726\) | 2.36857 | − | 2.68856i | 0.0879060 | − | 0.0997817i | ||||
\(727\) | 27.6834 | − | 18.4975i | 1.02672 | − | 0.686033i | 0.0763278 | − | 0.997083i | \(-0.475680\pi\) |
0.950394 | + | 0.311049i | \(0.100680\pi\) | |||||||
\(728\) | 7.47718 | + | 0.199532i | 0.277123 | + | 0.00739513i | ||||
\(729\) | 26.2507 | − | 6.31681i | 0.972247 | − | 0.233956i | ||||
\(730\) | −25.3228 | + | 32.4006i | −0.937238 | + | 1.19920i | ||||
\(731\) | −2.07346 | + | 6.83530i | −0.0766899 | + | 0.252813i | ||||
\(732\) | 1.34419 | + | 0.574428i | 0.0496826 | + | 0.0212315i | ||||
\(733\) | 41.0360 | − | 33.6774i | 1.51570 | − | 1.24390i | 0.632826 | − | 0.774294i | \(-0.281895\pi\) |
0.882875 | − | 0.469609i | \(-0.155605\pi\) | |||||||
\(734\) | −1.89381 | − | 8.46167i | −0.0699017 | − | 0.312326i | ||||
\(735\) | 4.55397 | − | 6.01706i | 0.167976 | − | 0.221943i | ||||
\(736\) | −15.6092 | − | 27.7842i | −0.575362 | − | 1.02414i | ||||
\(737\) | 24.8991 | + | 24.8991i | 0.917169 | + | 0.917169i | ||||
\(738\) | 42.4624 | + | 12.6784i | 1.56306 | + | 0.466697i | ||||
\(739\) | −17.5625 | + | 14.4132i | −0.646049 | + | 0.530198i | −0.899373 | − | 0.437183i | \(-0.855976\pi\) |
0.253324 | + | 0.967382i | \(0.418476\pi\) | |||||||
\(740\) | 15.9574 | + | 2.39028i | 0.586606 | + | 0.0878684i | ||||
\(741\) | −0.0131895 | + | 0.0833226i | −0.000484530 | + | 0.00306093i | ||||
\(742\) | −2.59390 | − | 21.1547i | −0.0952252 | − | 0.776615i | ||||
\(743\) | −18.9945 | + | 28.4272i | −0.696839 | + | 1.04289i | 0.299218 | + | 0.954185i | \(0.403274\pi\) |
−0.996058 | + | 0.0887092i | \(0.971726\pi\) | |||||||
\(744\) | 4.20119 | + | 2.17756i | 0.154023 | + | 0.0798332i | ||||
\(745\) | 21.9072 | − | 14.6379i | 0.802618 | − | 0.536292i | ||||
\(746\) | −0.228454 | + | 3.06731i | −0.00836429 | + | 0.112302i | ||||
\(747\) | 7.57900 | + | 19.3542i | 0.277301 | + | 0.708134i | ||||
\(748\) | −20.0848 | + | 2.95009i | −0.734374 | + | 0.107866i | ||||
\(749\) | 10.4806 | + | 34.5500i | 0.382954 | + | 1.26243i | ||||
\(750\) | −25.3118 | + | 15.6607i | −0.924256 | + | 0.571846i | ||||
\(751\) | −45.0176 | − | 18.6469i | −1.64272 | − | 0.680435i | −0.646148 | − | 0.763212i | \(-0.723621\pi\) |
−0.996568 | + | 0.0827770i | \(0.973621\pi\) | |||||||
\(752\) | 6.15087 | + | 11.5867i | 0.224299 | + | 0.422523i | ||||
\(753\) | −2.53706 | − | 4.32777i | −0.0924556 | − | 0.157713i | ||||
\(754\) | −4.55256 | − | 4.34058i | −0.165794 | − | 0.158075i | ||||
\(755\) | 24.4512 | + | 13.0695i | 0.889871 | + | 0.475646i | ||||
\(756\) | −0.688886 | + | 22.4957i | −0.0250546 | + | 0.818160i | ||||
\(757\) | 28.4563 | + | 23.3535i | 1.03426 | + | 0.848797i | 0.988661 | − | 0.150162i | \(-0.0479797\pi\) |
0.0456011 | + | 0.998960i | \(0.485480\pi\) | |||||||
\(758\) | 8.97984 | + | 4.52809i | 0.326162 | + | 0.164467i | ||||
\(759\) | −30.0821 | − | 1.77139i | −1.09191 | − | 0.0642974i | ||||
\(760\) | 0.184914 | + | 0.105275i | 0.00670753 | + | 0.00381871i | ||||
\(761\) | 41.3302 | − | 8.22109i | 1.49822 | − | 0.298014i | 0.623184 | − | 0.782075i | \(-0.285839\pi\) |
0.875034 | + | 0.484061i | \(0.160839\pi\) | |||||||
\(762\) | −24.4377 | + | 18.6641i | −0.885283 | + | 0.676127i | ||||
\(763\) | −36.5021 | + | 19.5108i | −1.32147 | + | 0.706338i | ||||
\(764\) | −24.2390 | − | 8.71179i | −0.876936 | − | 0.315182i | ||||
\(765\) | −18.3072 | + | 3.27256i | −0.661898 | + | 0.118320i | ||||
\(766\) | −8.57659 | − | 12.1962i | −0.309885 | − | 0.440668i | ||||
\(767\) | −14.7316 | −0.531926 | ||||||||
\(768\) | −6.31824 | − | 26.9830i | −0.227990 | − | 0.973664i | ||||
\(769\) | 27.6232 | 0.996118 | 0.498059 | − | 0.867143i | \(-0.334046\pi\) | ||||
0.498059 | + | 0.867143i | \(0.334046\pi\) | |||||||
\(770\) | −10.2618 | − | 14.5927i | −0.369810 | − | 0.525885i | ||||
\(771\) | −0.0285942 | − | 0.726150i | −0.00102979 | − | 0.0261517i | ||||
\(772\) | 7.81775 | + | 2.80980i | 0.281367 | + | 0.101127i | ||||
\(773\) | 27.3850 | − | 14.6376i | 0.984972 | − | 0.526478i | 0.101436 | − | 0.994842i | \(-0.467656\pi\) |
0.883536 | + | 0.468364i | \(0.155156\pi\) | |||||||
\(774\) | −6.49120 | + | 6.54820i | −0.233321 | + | 0.235370i | ||||
\(775\) | 1.36662 | − | 0.271838i | 0.0490904 | − | 0.00976469i | ||||
\(776\) | −1.76415 | + | 3.09871i | −0.0633293 | + | 0.111237i | ||||
\(777\) | 0.943167 | − | 16.0170i | 0.0338359 | − | 0.574608i | ||||
\(778\) | 36.1216 | + | 18.2143i | 1.29502 | + | 0.653014i | ||||
\(779\) | −0.322046 | − | 0.264296i | −0.0115385 | − | 0.00946939i | ||||
\(780\) | −2.40102 | + | 7.60854i | −0.0859702 | + | 0.272430i | ||||
\(781\) | −15.8956 | − | 8.49638i | −0.568790 | − | 0.304025i | ||||
\(782\) | −18.9521 | − | 18.0696i | −0.677725 | − | 0.646168i | ||||
\(783\) | 13.1142 | − | 13.6468i | 0.468665 | − | 0.487697i | ||||
\(784\) | 8.83408 | + | 2.70728i | 0.315503 | + | 0.0966885i | ||||
\(785\) | 34.1406 | + | 14.1415i | 1.21853 | + | 0.504731i | ||||
\(786\) | 10.7025 | + | 17.2981i | 0.381746 | + | 0.617003i | ||||
\(787\) | −12.7371 | − | 41.9886i | −0.454029 | − | 1.49673i | −0.823406 | − | 0.567453i | \(-0.807929\pi\) |
0.369377 | − | 0.929280i | \(-0.379571\pi\) | |||||||
\(788\) | 19.1863 | − | 2.81811i | 0.683483 | − | 0.100391i | ||||
\(789\) | −5.80800 | − | 24.1827i | −0.206770 | − | 0.860929i | ||||
\(790\) | 1.62542 | − | 21.8236i | 0.0578300 | − | 0.776449i | ||||
\(791\) | 22.8476 | − | 15.2663i | 0.812367 | − | 0.542806i | ||||
\(792\) | −24.6987 | − | 8.75527i | −0.877629 | − | 0.311105i | ||||
\(793\) | 0.286278 | − | 0.428445i | 0.0101660 | − | 0.0152145i | ||||
\(794\) | 3.73816 | + | 30.4868i | 0.132662 | + | 1.08194i | ||||
\(795\) | 22.4542 | + | 3.55438i | 0.796368 | + | 0.126061i | ||||
\(796\) | 23.5178 | + | 3.52276i | 0.833566 | + | 0.124861i | ||||
\(797\) | −2.23274 | + | 1.83236i | −0.0790878 | + | 0.0649057i | −0.673107 | − | 0.739545i | \(-0.735040\pi\) |
0.594019 | + | 0.804451i | \(0.297540\pi\) | |||||||
\(798\) | 0.0877584 | − | 0.192528i | 0.00310661 | − | 0.00681542i | ||||
\(799\) | 7.62181 | + | 7.62181i | 0.269640 | + | 0.269640i | ||||
\(800\) | −6.41529 | − | 5.04338i | −0.226815 | − | 0.178310i | ||||
\(801\) | −4.40919 | + | 7.87640i | −0.155791 | + | 0.278299i | ||||
\(802\) | 3.28753 | + | 14.6889i | 0.116087 | + | 0.518685i | ||||
\(803\) | −36.8035 | + | 30.2039i | −1.29877 | + | 1.06587i | ||||
\(804\) | −15.5214 | + | 36.3208i | −0.547397 | + | 1.28094i | ||||
\(805\) | 6.67992 | − | 22.0208i | 0.235436 | − | 0.776130i | ||||
\(806\) | 1.02718 | − | 1.31427i | 0.0361807 | − | 0.0462933i | ||||
\(807\) | 2.96528 | − | 6.11489i | 0.104383 | − | 0.215254i | ||||
\(808\) | 0.656430 | − | 24.5988i | 0.0230931 | − | 0.865384i | ||||
\(809\) | −16.6567 | + | 11.1297i | −0.585620 | + | 0.391299i | −0.812790 | − | 0.582556i | \(-0.802053\pi\) |
0.227170 | + | 0.973855i | \(0.427053\pi\) | |||||||
\(810\) | −22.8649 | − | 7.31448i | −0.803390 | − | 0.257005i | ||||
\(811\) | −0.279471 | − | 2.83752i | −0.00981356 | − | 0.0996388i | 0.989030 | − | 0.147714i | \(-0.0471914\pi\) |
−0.998844 | + | 0.0480749i | \(0.984691\pi\) | |||||||
\(812\) | 8.09152 | + | 13.5436i | 0.283957 | + | 0.475286i | ||||
\(813\) | −3.41174 | + | 1.57320i | −0.119655 | + | 0.0551744i | ||||
\(814\) | 17.4248 | + | 6.73572i | 0.610738 | + | 0.236087i | ||||
\(815\) | −29.8374 | − | 12.3591i | −1.04516 | − | 0.432919i | ||||
\(816\) | −11.4601 | − | 19.6771i | −0.401183 | − | 0.688835i | ||||
\(817\) | 0.0800840 | − | 0.0331719i | 0.00280179 | − | 0.00116054i | ||||
\(818\) | −1.14401 | + | 0.0272690i | −0.0399992 | + | 0.000953437i | ||||
\(819\) | 7.74954 | + | 1.69888i | 0.270791 | + | 0.0593637i | ||||
\(820\) | −26.4187 | − | 29.2321i | −0.922582 | − | 1.02083i | ||||
\(821\) | −3.33722 | − | 2.73879i | −0.116470 | − | 0.0955844i | 0.574356 | − | 0.818606i | \(-0.305253\pi\) |
−0.690825 | + | 0.723022i | \(0.742753\pi\) | |||||||
\(822\) | −48.1581 | + | 23.6138i | −1.67971 | + | 0.823624i | ||||
\(823\) | −49.2000 | − | 9.78648i | −1.71500 | − | 0.341135i | −0.762808 | − | 0.646625i | \(-0.776180\pi\) |
−0.952195 | + | 0.305490i | \(0.901180\pi\) | |||||||
\(824\) | −36.0816 | − | 12.0053i | −1.25696 | − | 0.418224i | ||||
\(825\) | −7.29014 | + | 2.52871i | −0.253810 | + | 0.0880385i | ||||
\(826\) | 35.6032 | + | 9.88002i | 1.23879 | + | 0.343770i | ||||
\(827\) | 15.1609 | − | 8.10366i | 0.527195 | − | 0.281792i | −0.186250 | − | 0.982502i | \(-0.559634\pi\) |
0.713446 | + | 0.700710i | \(0.247134\pi\) | |||||||
\(828\) | −10.7204 | − | 32.0567i | −0.372559 | − | 1.11405i | ||||
\(829\) | 4.36846 | − | 44.3537i | 0.151723 | − | 1.54047i | −0.554323 | − | 0.832301i | \(-0.687023\pi\) |
0.706046 | − | 0.708166i | \(-0.250477\pi\) | |||||||
\(830\) | 3.17245 | − | 18.2063i | 0.110117 | − | 0.631951i | ||||
\(831\) | −1.20081 | − | 8.67603i | −0.0416558 | − | 0.300968i | ||||
\(832\) | −9.75911 | + | 0.437663i | −0.338336 | + | 0.0151732i | ||||
\(833\) | 7.59199 | 0.263047 | ||||||||
\(834\) | 19.5148 | + | 0.683012i | 0.675742 | + | 0.0236508i | ||||
\(835\) | 44.4747 | + | 4.38038i | 1.53911 | + | 0.151589i | ||||
\(836\) | 0.182301 | + | 0.165701i | 0.00630501 | + | 0.00573090i | ||||
\(837\) | 3.94235 | + | 3.10622i | 0.136268 | + | 0.107367i | ||||
\(838\) | 10.3283 | + | 2.86614i | 0.356785 | + | 0.0990093i | ||||
\(839\) | 19.6430 | − | 3.90723i | 0.678152 | − | 0.134893i | 0.156015 | − | 0.987755i | \(-0.450135\pi\) |
0.522136 | + | 0.852862i | \(0.325135\pi\) | |||||||
\(840\) | 10.9056 | − | 16.7780i | 0.376279 | − | 0.578896i | ||||
\(841\) | −3.06929 | + | 15.4304i | −0.105838 | + | 0.532081i | ||||
\(842\) | −2.16120 | + | 0.712258i | −0.0744798 | + | 0.0245460i | ||||
\(843\) | 26.5353 | + | 16.2576i | 0.913923 | + | 0.559943i | ||||
\(844\) | 2.44041 | − | 48.2733i | 0.0840023 | − | 1.66164i | ||||
\(845\) | −19.1439 | − | 10.2327i | −0.658572 | − | 0.352014i | ||||
\(846\) | 4.09715 | + | 13.2969i | 0.140863 | + | 0.457158i | ||||
\(847\) | 1.21230 | + | 2.92676i | 0.0416553 | + | 0.100565i | ||||
\(848\) | 5.35272 | + | 27.3162i | 0.183813 | + | 0.938042i | ||||
\(849\) | −4.47745 | + | 17.1646i | −0.153666 | + | 0.589089i | ||||
\(850\) | −6.25418 | − | 2.41762i | −0.214517 | − | 0.0829237i | ||||
\(851\) | 6.99510 | + | 23.0598i | 0.239789 | + | 0.790478i | ||||
\(852\) | 2.20594 | − | 20.0968i | 0.0755744 | − | 0.688505i | ||||
\(853\) | 30.8081 | − | 3.03434i | 1.05485 | − | 0.103894i | 0.444306 | − | 0.895875i | \(-0.353450\pi\) |
0.610545 | + | 0.791982i | \(0.290950\pi\) | |||||||
\(854\) | −0.979221 | + | 0.843467i | −0.0335082 | + | 0.0288628i | ||||
\(855\) | 0.171641 | + | 0.146543i | 0.00586999 | + | 0.00501167i | ||||
\(856\) | −16.8764 | − | 44.0303i | −0.576825 | − | 1.50493i | ||||
\(857\) | −4.07593 | + | 6.10006i | −0.139231 | + | 0.208374i | −0.894532 | − | 0.447004i | \(-0.852491\pi\) |
0.755301 | + | 0.655378i | \(0.227491\pi\) | |||||||
\(858\) | −4.63670 | + | 7.98923i | −0.158294 | + | 0.272748i | ||||
\(859\) | −43.6904 | − | 13.2533i | −1.49070 | − | 0.452198i | −0.563293 | − | 0.826257i | \(-0.690466\pi\) |
−0.927405 | + | 0.374059i | \(0.877966\pi\) | |||||||
\(860\) | 7.95517 | − | 1.98063i | 0.271269 | − | 0.0675391i | ||||
\(861\) | −26.5929 | + | 28.7730i | −0.906282 | + | 0.980583i | ||||
\(862\) | 4.18690 | + | 18.7074i | 0.142607 | + | 0.637177i | ||||
\(863\) | 9.10799 | + | 9.10799i | 0.310040 | + | 0.310040i | 0.844925 | − | 0.534885i | \(-0.179645\pi\) |
−0.534885 | + | 0.844925i | \(0.679645\pi\) | |||||||
\(864\) | −1.20135 | − | 29.3693i | −0.0408708 | − | 0.999164i | ||||
\(865\) | 22.5817 | − | 22.5817i | 0.767801 | − | 0.767801i | ||||
\(866\) | 22.4841 | + | 14.2603i | 0.764040 | + | 0.484585i | ||||
\(867\) | 7.88314 | + | 7.28582i | 0.267726 | + | 0.247440i | ||||
\(868\) | −3.36392 | + | 2.48744i | −0.114179 | + | 0.0844291i | ||||
\(869\) | 7.35493 | − | 24.2460i | 0.249499 | − | 0.822488i | ||||
\(870\) | −16.2645 | + | 4.31869i | −0.551420 | + | 0.146417i | ||||
\(871\) | 11.5768 | + | 7.73540i | 0.392266 | + | 0.262104i | ||||
\(872\) | 45.7309 | − | 28.8221i | 1.54864 | − | 0.976041i | ||||
\(873\) | −2.45571 | + | 2.87628i | −0.0831131 | + | 0.0973475i | ||||
\(874\) | −0.0236027 | + | 0.316900i | −0.000798374 | + | 0.0107193i | ||||
\(875\) | −2.57941 | − | 26.1892i | −0.0872000 | − | 0.885356i | ||||
\(876\) | −46.8155 | − | 25.6988i | −1.58175 | − | 0.868282i | ||||
\(877\) | −15.5107 | + | 4.70513i | −0.523760 | + | 0.158881i | −0.541083 | − | 0.840969i | \(-0.681986\pi\) |
0.0173230 | + | 0.999850i | \(0.494486\pi\) | |||||||
\(878\) | 6.43372 | + | 14.5422i | 0.217128 | + | 0.490775i | ||||
\(879\) | 10.5825 | + | 2.76048i | 0.356940 | + | 0.0931088i | ||||
\(880\) | 14.7295 | + | 18.0525i | 0.496530 | + | 0.608549i | ||||
\(881\) | 22.6606 | − | 9.38631i | 0.763454 | − | 0.316233i | 0.0332361 | − | 0.999448i | \(-0.489419\pi\) |
0.730218 | + | 0.683215i | \(0.239419\pi\) | |||||||
\(882\) | 8.66301 | + | 4.58189i | 0.291699 | + | 0.154280i | ||||
\(883\) | −20.9046 | + | 39.1097i | −0.703496 | + | 1.31615i | 0.235384 | + | 0.971902i | \(0.424365\pi\) |
−0.938880 | + | 0.344245i | \(0.888135\pi\) | |||||||
\(884\) | −7.56153 | + | 2.69342i | −0.254322 | + | 0.0905896i | ||||
\(885\) | −20.5895 | + | 33.6056i | −0.692107 | + | 1.12964i | ||||
\(886\) | 19.5450 | + | 9.85557i | 0.656627 | + | 0.331104i | ||||
\(887\) | −44.0086 | − | 8.75386i | −1.47766 | − | 0.293926i | −0.610527 | − | 0.791995i | \(-0.709043\pi\) |
−0.867137 | + | 0.498069i | \(0.834043\pi\) | |||||||
\(888\) | 0.265668 | + | 20.9533i | 0.00891522 | + | 0.703147i | ||||
\(889\) | −5.30386 | − | 26.6643i | −0.177886 | − | 0.894293i | ||||
\(890\) | 6.98589 | − | 3.95089i | 0.234168 | − | 0.132434i | ||||
\(891\) | −23.9839 | − | 14.0459i | −0.803490 | − | 0.470556i | ||||
\(892\) | 24.2471 | + | 51.4556i | 0.811853 | + | 1.72286i | ||||
\(893\) | 0.0128213 | − | 0.130177i | 0.000429050 | − | 0.00435621i | ||||
\(894\) | 23.3343 | + | 25.0269i | 0.780414 | + | 0.837024i | ||||
\(895\) | − | 12.7527i | − | 0.426276i | ||||||
\(896\) | 23.8793 | + | 5.48740i | 0.797752 | + | 0.183321i | ||||
\(897\) | −11.8028 | + | 1.63358i | −0.394083 | + | 0.0545435i | ||||
\(898\) | −0.493829 | − | 0.702245i | −0.0164793 | − | 0.0234342i | ||||
\(899\) | 3.50134 | + | 0.344852i | 0.116776 | + | 0.0115015i | ||||
\(900\) | −5.67741 | − | 6.53319i | −0.189247 | − | 0.217773i | ||||
\(901\) | 10.7818 | + | 20.1713i | 0.359194 | + | 0.672004i | ||||
\(902\) | −22.4569 | − | 39.7078i | −0.747732 | − | 1.32212i | ||||
\(903\) | −2.67150 | − | 7.70179i | −0.0889021 | − | 0.256300i | ||||
\(904\) | −28.3392 | + | 22.0189i | −0.942547 | + | 0.732338i | ||||
\(905\) | −8.03250 | + | 40.3821i | −0.267009 | + | 1.34235i | ||||
\(906\) | −11.6509 | + | 34.0691i | −0.387074 | + | 1.13187i | ||||
\(907\) | 9.72689 | − | 11.8523i | 0.322976 | − | 0.393548i | −0.586058 | − | 0.810269i | \(-0.699321\pi\) |
0.909034 | + | 0.416721i | \(0.136821\pi\) | |||||||
\(908\) | 51.8582 | − | 18.4719i | 1.72098 | − | 0.613013i | ||||
\(909\) | 5.58907 | − | 25.4949i | 0.185378 | − | 0.845611i | ||||
\(910\) | −5.10532 | − | 4.86760i | −0.169240 | − | 0.161360i | ||||
\(911\) | −6.99953 | − | 16.8984i | −0.231905 | − | 0.559868i | 0.764497 | − | 0.644628i | \(-0.222988\pi\) |
−0.996401 | + | 0.0847600i | \(0.972988\pi\) | |||||||
\(912\) | −0.0963604 | + | 0.258993i | −0.00319081 | + | 0.00857612i | ||||
\(913\) | 8.18813 | − | 19.7679i | 0.270988 | − | 0.654222i | ||||
\(914\) | 24.0706 | − | 10.6493i | 0.796186 | − | 0.352247i | ||||
\(915\) | −0.577252 | − | 1.25187i | −0.0190834 | − | 0.0413855i | ||||
\(916\) | 30.0429 | − | 40.3879i | 0.992647 | − | 1.33445i | ||||
\(917\) | −17.8977 | + | 1.76277i | −0.591034 | + | 0.0582118i | ||||
\(918\) | −8.01471 | − | 22.7837i | −0.264525 | − | 0.751976i | ||||
\(919\) | 24.9761 | + | 37.3793i | 0.823884 | + | 1.23303i | 0.969841 | + | 0.243739i | \(0.0783741\pi\) |
−0.145956 | + | 0.989291i | \(0.546626\pi\) | |||||||
\(920\) | −6.64746 | + | 29.3096i | −0.219160 | + | 0.966308i | ||||
\(921\) | −4.29646 | − | 2.08347i | −0.141573 | − | 0.0686525i | ||||
\(922\) | −3.59080 | − | 29.2850i | −0.118257 | − | 0.964451i | ||||
\(923\) | −6.81990 | − | 2.06879i | −0.224480 | − | 0.0680952i | ||||
\(924\) | 16.5641 | − | 16.1987i | 0.544919 | − | 0.532897i | ||||
\(925\) | 3.91449 | + | 4.76982i | 0.128708 | + | 0.156831i | ||||
\(926\) | 8.17697 | − | 12.8925i | 0.268712 | − | 0.423675i | ||||
\(927\) | −35.1939 | − | 19.7015i | −1.15592 | − | 0.647081i | ||||
\(928\) | −11.8043 | − | 16.8882i | −0.387497 | − | 0.554384i | ||||
\(929\) | 37.1592 | − | 37.1592i | 1.21915 | − | 1.21915i | 0.251224 | − | 0.967929i | \(-0.419167\pi\) |
0.967929 | − | 0.251224i | \(-0.0808331\pi\) | |||||||
\(930\) | −1.56249 | − | 4.18007i | −0.0512360 | − | 0.137070i | ||||
\(931\) | −0.0584483 | − | 0.0712195i | −0.00191557 | − | 0.00233412i | ||||
\(932\) | 31.5323 | − | 7.85075i | 1.03288 | − | 0.257160i | ||||
\(933\) | −5.51899 | + | 34.8653i | −0.180684 | + | 1.14144i | ||||
\(934\) | 20.6253 | − | 26.3902i | 0.674882 | − | 0.863513i | ||||
\(935\) | 15.9180 | + | 10.6360i | 0.520573 | + | 0.347836i | ||||
\(936\) | −10.2538 | − | 1.49012i | −0.335156 | − | 0.0487062i | ||||
\(937\) | 18.7051 | + | 27.9941i | 0.611068 | + | 0.914528i | 0.999977 | − | 0.00674836i | \(-0.00214809\pi\) |
−0.388909 | + | 0.921276i | \(0.627148\pi\) | |||||||
\(938\) | −22.7910 | − | 26.4591i | −0.744152 | − | 0.863921i | ||||
\(939\) | −28.9342 | + | 6.94917i | −0.944232 | + | 0.226778i | ||||
\(940\) | 3.02302 | − | 11.9961i | 0.0986001 | − | 0.391270i | ||||
\(941\) | 31.2811 | − | 9.48903i | 1.01974 | − | 0.309334i | 0.264219 | − | 0.964463i | \(-0.414886\pi\) |
0.755517 | + | 0.655129i | \(0.227386\pi\) | |||||||
\(942\) | −11.0033 | + | 46.7128i | −0.358507 | + | 1.52199i | ||||
\(943\) | 22.5185 | − | 54.3645i | 0.733304 | − | 1.77035i | ||||
\(944\) | −47.3019 | − | 9.54902i | −1.53955 | − | 0.310794i | ||||
\(945\) | 14.7066 | − | 15.3038i | 0.478404 | − | 0.497831i | ||||
\(946\) | 9.48884 | − | 0.226180i | 0.308509 | − | 0.00735374i | ||||
\(947\) | 7.49138 | − | 14.0154i | 0.243437 | − | 0.455439i | −0.730296 | − | 0.683131i | \(-0.760618\pi\) |
0.973733 | + | 0.227692i | \(0.0731179\pi\) | |||||||
\(948\) | 28.3131 | − | 2.47008i | 0.919568 | − | 0.0802245i | ||||
\(949\) | −11.9429 | + | 14.5524i | −0.387682 | + | 0.472391i | ||||
\(950\) | 0.0254696 | + | 0.0772822i | 0.000826343 | + | 0.00250737i | ||||
\(951\) | 27.8071 | + | 1.63743i | 0.901708 | + | 0.0530973i | ||||
\(952\) | 20.0811 | − | 1.43816i | 0.650832 | − | 0.0466111i | ||||
\(953\) | −4.28015 | − | 21.5178i | −0.138648 | − | 0.697029i | −0.986099 | − | 0.166157i | \(-0.946864\pi\) |
0.847452 | − | 0.530873i | \(-0.178136\pi\) | |||||||
\(954\) | 0.129079 | + | 29.5239i | 0.00417908 | + | 0.955873i | ||||
\(955\) | 11.4504 | + | 21.4222i | 0.370526 | + | 0.693206i | ||||
\(956\) | 3.85210 | + | 3.50134i | 0.124586 | + | 0.113242i | ||||
\(957\) | −19.4683 | + | 0.766616i | −0.629319 | + | 0.0247812i | ||||
\(958\) | −5.93653 | + | 34.0691i | −0.191801 | + | 1.10072i | ||||
\(959\) | − | 47.4210i | − | 1.53131i | ||||||
\(960\) | −12.6413 | + | 22.8741i | −0.407998 | + | 0.738258i | ||||
\(961\) | − | 30.0670i | − | 0.969903i | ||||||
\(962\) | 7.27710 | + | 1.26803i | 0.234623 | + | 0.0408830i | ||||
\(963\) | −8.80092 | − | 49.2337i | −0.283606 | − | 1.58654i | ||||
\(964\) | 19.3937 | − | 0.925078i | 0.624629 | − | 0.0297948i | ||||
\(965\) | −3.69308 | − | 6.90926i | −0.118884 | − | 0.222417i | ||||
\(966\) | 29.6205 | + | 3.96775i | 0.953024 | + | 0.127660i | ||||
\(967\) | 3.22115 | + | 16.1938i | 0.103585 | + | 0.520759i | 0.997384 | + | 0.0722896i | \(0.0230306\pi\) |
−0.893798 | + | 0.448469i | \(0.851969\pi\) | |||||||
\(968\) | −1.85232 | − | 3.69958i | −0.0595358 | − | 0.118909i | ||||
\(969\) | −0.0133474 | + | 0.226668i | −0.000428781 | + | 0.00728164i | ||||
\(970\) | 3.19370 | − | 1.05253i | 0.102543 | − | 0.0337948i | ||||
\(971\) | 10.4884 | − | 12.7802i | 0.336590 | − | 0.410136i | −0.577019 | − | 0.816731i | \(-0.695784\pi\) |
0.913608 | + | 0.406595i | \(0.133284\pi\) | |||||||
\(972\) | 4.60501 | − | 30.8349i | 0.147706 | − | 0.989031i | ||||
\(973\) | −8.13826 | + | 15.2256i | −0.260901 | + | 0.488111i | ||||
\(974\) | −0.411145 | − | 17.2486i | −0.0131739 | − | 0.552682i | ||||
\(975\) | −2.63213 | + | 1.54302i | −0.0842955 | + | 0.0494163i | ||||
\(976\) | 1.19693 | − | 1.19014i | 0.0383129 | − | 0.0380954i | ||||
\(977\) | −9.77933 | + | 23.6094i | −0.312868 | + | 0.755331i | 0.686728 | + | 0.726915i | \(0.259046\pi\) |
−0.999596 | + | 0.0284165i | \(0.990954\pi\) | |||||||
\(978\) | 9.61643 | − | 40.8251i | 0.307500 | − | 1.30544i | ||||
\(979\) | 8.89193 | − | 2.69734i | 0.284187 | − | 0.0862073i | ||||
\(980\) | −4.46898 | − | 7.48018i | −0.142756 | − | 0.238945i | ||||
\(981\) | 53.3874 | − | 20.9062i | 1.70453 | − | 0.667483i | ||||
\(982\) | −28.5270 | + | 24.5721i | −0.910332 | + | 0.784129i | ||||
\(983\) | 27.3595 | + | 40.9464i | 0.872632 | + | 1.30599i | 0.951041 | + | 0.309065i | \(0.100016\pi\) |
−0.0784093 | + | 0.996921i | \(0.524984\pi\) | |||||||
\(984\) | 31.9580 | − | 39.9635i | 1.01878 | − | 1.27399i | ||||
\(985\) | −15.2058 | − | 10.1602i | −0.484499 | − | 0.323732i | ||||
\(986\) | −13.3397 | − | 10.4257i | −0.424821 | − | 0.332021i | ||||
\(987\) | −12.1504 | − | 1.92334i | −0.386750 | − | 0.0612205i | ||||
\(988\) | 0.0834805 | + | 0.0501980i | 0.00265587 | + | 0.00159701i | ||||
\(989\) | 7.76706 | + | 9.46419i | 0.246978 | + | 0.300944i | ||||
\(990\) | 11.7445 | + | 21.7433i | 0.373266 | + | 0.691047i | ||||
\(991\) | 3.71289 | − | 3.71289i | 0.117944 | − | 0.117944i | −0.645671 | − | 0.763615i | \(-0.723422\pi\) |
0.763615 | + | 0.645671i | \(0.223422\pi\) | |||||||
\(992\) | 4.15010 | − | 3.55422i | 0.131766 | − | 0.112846i | ||||
\(993\) | −11.6579 | − | 8.82319i | −0.369952 | − | 0.279995i | ||||
\(994\) | 15.0948 | + | 9.57376i | 0.478779 | + | 0.303661i | ||||
\(995\) | −14.2270 | − | 17.3356i | −0.451025 | − | 0.549576i | ||||
\(996\) | 23.9993 | + | 0.267688i | 0.760446 | + | 0.00848202i | ||||
\(997\) | −13.0279 | − | 3.95197i | −0.412598 | − | 0.125160i | 0.0771599 | − | 0.997019i | \(-0.475415\pi\) |
−0.489758 | + | 0.871859i | \(0.662915\pi\) | |||||||
\(998\) | 28.8023 | − | 3.53161i | 0.911721 | − | 0.111791i | ||||
\(999\) | −3.90153 | + | 21.8810i | −0.123439 | + | 0.692285i |
(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 | 384.2.w.a.35.20 | yes | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.35.43 | yes | 992 | |
128.11 | odd | 32 | inner | 384.2.w.a.11.43 | yes | 992 | |
384.11 | even | 32 | inner | 384.2.w.a.11.20 | ✓ | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.11.20 | ✓ | 992 | 384.11 | even | 32 | inner | |
384.2.w.a.11.43 | yes | 992 | 128.11 | odd | 32 | inner | |
384.2.w.a.35.20 | yes | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.35.43 | yes | 992 | 3.2 | odd | 2 | inner |