Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 58.2 | ||
Character | \(\chi\) | \(=\) | 81.58 |
Dual form | 81.2.g.a.7.2 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{19}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32716 | + | 1.78269i | −0.938447 | + | 1.26055i | 0.0269146 | + | 0.999638i | \(0.491432\pi\) |
−0.965362 | + | 0.260915i | \(0.915976\pi\) | |||||||
\(3\) | 1.62274 | + | 0.605570i | 0.936889 | + | 0.349626i | ||||
\(4\) | −0.843016 | − | 2.81587i | −0.421508 | − | 1.40794i | ||||
\(5\) | 2.46097 | + | 1.61861i | 1.10058 | + | 0.723864i | 0.963770 | − | 0.266734i | \(-0.0859444\pi\) |
0.136811 | + | 0.990597i | \(0.456315\pi\) | |||||||
\(6\) | −3.23319 | + | 2.08915i | −1.31994 | + | 0.852894i | ||||
\(7\) | −2.02832 | − | 2.14989i | −0.766632 | − | 0.812582i | 0.220008 | − | 0.975498i | \(-0.429392\pi\) |
−0.986640 | + | 0.162916i | \(0.947910\pi\) | |||||||
\(8\) | 1.96178 | + | 0.714030i | 0.693594 | + | 0.252448i | ||||
\(9\) | 2.26657 | + | 1.96536i | 0.755524 | + | 0.655121i | ||||
\(10\) | −6.15160 | + | 2.23900i | −1.94531 | + | 0.708033i | ||||
\(11\) | −4.74276 | − | 2.38190i | −1.43000 | − | 0.718171i | −0.445781 | − | 0.895142i | \(-0.647074\pi\) |
−0.984216 | + | 0.176971i | \(0.943370\pi\) | |||||||
\(12\) | 0.337209 | − | 5.07993i | 0.0973439 | − | 1.46645i | ||||
\(13\) | −0.291219 | + | 0.675122i | −0.0807696 | + | 0.187245i | −0.953816 | − | 0.300393i | \(-0.902882\pi\) |
0.873046 | + | 0.487638i | \(0.162141\pi\) | |||||||
\(14\) | 6.52450 | − | 0.762605i | 1.74375 | − | 0.203815i | ||||
\(15\) | 3.01334 | + | 4.11687i | 0.778041 | + | 1.06297i | ||||
\(16\) | 1.03509 | − | 0.680789i | 0.258772 | − | 0.170197i | ||||
\(17\) | 1.11298 | + | 0.933897i | 0.269936 | + | 0.226503i | 0.767700 | − | 0.640809i | \(-0.221401\pi\) |
−0.497764 | + | 0.867312i | \(0.665845\pi\) | |||||||
\(18\) | −6.51175 | + | 1.43223i | −1.53483 | + | 0.337581i | ||||
\(19\) | 4.21153 | − | 3.53390i | 0.966192 | − | 0.810731i | −0.0157573 | − | 0.999876i | \(-0.505016\pi\) |
0.981949 | + | 0.189145i | \(0.0605715\pi\) | |||||||
\(20\) | 2.48315 | − | 8.29430i | 0.555249 | − | 1.85466i | ||||
\(21\) | −1.98952 | − | 4.71700i | −0.434149 | − | 1.02933i | ||||
\(22\) | 10.5406 | − | 5.29370i | 2.24727 | − | 1.12862i | ||||
\(23\) | 0.309397 | − | 0.327942i | 0.0645138 | − | 0.0683806i | −0.694313 | − | 0.719673i | \(-0.744292\pi\) |
0.758827 | + | 0.651293i | \(0.225773\pi\) | |||||||
\(24\) | 2.75107 | + | 2.34668i | 0.561559 | + | 0.479014i | ||||
\(25\) | 1.45610 | + | 3.37562i | 0.291220 | + | 0.675125i | ||||
\(26\) | −0.817038 | − | 1.41515i | −0.160234 | − | 0.277534i | ||||
\(27\) | 2.48789 | + | 4.56184i | 0.478795 | + | 0.877927i | ||||
\(28\) | −4.34391 | + | 7.52387i | −0.820921 | + | 1.42188i | ||||
\(29\) | −3.53065 | − | 0.412674i | −0.655625 | − | 0.0766316i | −0.218225 | − | 0.975898i | \(-0.570027\pi\) |
−0.437400 | + | 0.899267i | \(0.644101\pi\) | |||||||
\(30\) | −11.3383 | − | 0.0919079i | −2.07008 | − | 0.0167800i | ||||
\(31\) | −1.08263 | − | 0.256589i | −0.194447 | − | 0.0460847i | 0.132238 | − | 0.991218i | \(-0.457784\pi\) |
−0.326685 | + | 0.945133i | \(0.605932\pi\) | |||||||
\(32\) | −0.402873 | + | 6.91707i | −0.0712186 | + | 1.22278i | ||||
\(33\) | −6.25386 | − | 6.73728i | −1.08866 | − | 1.17281i | ||||
\(34\) | −3.14195 | + | 0.744656i | −0.538840 | + | 0.127707i | ||||
\(35\) | −1.51181 | − | 8.57387i | −0.255542 | − | 1.44925i | ||||
\(36\) | 3.62345 | − | 8.03920i | 0.603909 | − | 1.33987i | ||||
\(37\) | −0.643205 | + | 3.64780i | −0.105742 | + | 0.599695i | 0.885179 | + | 0.465251i | \(0.154036\pi\) |
−0.990921 | + | 0.134444i | \(0.957075\pi\) | |||||||
\(38\) | 0.710448 | + | 12.1979i | 0.115250 | + | 1.97876i | ||||
\(39\) | −0.881406 | + | 0.919194i | −0.141138 | + | 0.147189i | ||||
\(40\) | 3.67216 | + | 4.93256i | 0.580619 | + | 0.779907i | ||||
\(41\) | −6.10675 | − | 8.20279i | −0.953714 | − | 1.28106i | −0.959685 | − | 0.281078i | \(-0.909308\pi\) |
0.00597066 | − | 0.999982i | \(-0.498099\pi\) | |||||||
\(42\) | 11.0494 | + | 2.71353i | 1.70496 | + | 0.418707i | ||||
\(43\) | 0.461153 | + | 7.91770i | 0.0703252 | + | 1.20744i | 0.830237 | + | 0.557411i | \(0.188205\pi\) |
−0.759912 | + | 0.650026i | \(0.774758\pi\) | |||||||
\(44\) | −2.70891 | + | 15.3630i | −0.408383 | + | 2.31606i | ||||
\(45\) | 2.39682 | + | 8.50540i | 0.357297 | + | 1.26791i | ||||
\(46\) | 0.173998 | + | 0.986793i | 0.0256546 | + | 0.145495i | ||||
\(47\) | 5.37376 | − | 1.27360i | 0.783843 | − | 0.185774i | 0.180840 | − | 0.983513i | \(-0.442119\pi\) |
0.603004 | + | 0.797738i | \(0.293970\pi\) | |||||||
\(48\) | 2.09195 | − | 0.477925i | 0.301946 | − | 0.0689825i | ||||
\(49\) | −0.100945 | + | 1.73316i | −0.0144207 | + | 0.247594i | ||||
\(50\) | −7.95018 | − | 1.88423i | −1.12433 | − | 0.266470i | ||||
\(51\) | 1.24053 | + | 2.18946i | 0.173709 | + | 0.306585i | ||||
\(52\) | 2.14656 | + | 0.250897i | 0.297674 | + | 0.0347931i | ||||
\(53\) | −1.83020 | + | 3.17001i | −0.251398 | + | 0.435434i | −0.963911 | − | 0.266225i | \(-0.914224\pi\) |
0.712513 | + | 0.701659i | \(0.247557\pi\) | |||||||
\(54\) | −11.4342 | − | 1.61917i | −1.55600 | − | 0.220342i | ||||
\(55\) | −7.81644 | − | 13.5385i | −1.05397 | − | 1.82553i | ||||
\(56\) | −2.44403 | − | 5.66589i | −0.326597 | − | 0.757136i | ||||
\(57\) | 8.97424 | − | 3.18422i | 1.18867 | − | 0.421760i | ||||
\(58\) | 5.42142 | − | 5.74637i | 0.711868 | − | 0.754536i | ||||
\(59\) | 6.40358 | − | 3.21600i | 0.833675 | − | 0.418687i | 0.0198540 | − | 0.999803i | \(-0.493680\pi\) |
0.813821 | + | 0.581116i | \(0.197384\pi\) | |||||||
\(60\) | 9.05228 | − | 11.9558i | 1.16864 | − | 1.54348i | ||||
\(61\) | −1.24903 | + | 4.17204i | −0.159922 | + | 0.534175i | −0.999965 | − | 0.00834355i | \(-0.997344\pi\) |
0.840044 | + | 0.542519i | \(0.182529\pi\) | |||||||
\(62\) | 1.89425 | − | 1.58947i | 0.240570 | − | 0.201862i | ||||
\(63\) | −0.372007 | − | 8.85926i | −0.0468684 | − | 1.11616i | ||||
\(64\) | −9.89820 | − | 8.30558i | −1.23728 | − | 1.03820i | ||||
\(65\) | −1.80944 | + | 1.19009i | −0.224433 | + | 0.147612i | ||||
\(66\) | 20.3104 | − | 2.20722i | 2.50004 | − | 0.271690i | ||||
\(67\) | −11.2400 | + | 1.31377i | −1.37318 | + | 0.160502i | −0.770481 | − | 0.637463i | \(-0.779984\pi\) |
−0.602704 | + | 0.797965i | \(0.705910\pi\) | |||||||
\(68\) | 1.69148 | − | 3.92129i | 0.205122 | − | 0.475526i | ||||
\(69\) | 0.700663 | − | 0.344803i | 0.0843499 | − | 0.0415094i | ||||
\(70\) | 17.2910 | + | 8.68386i | 2.06667 | + | 1.03792i | ||||
\(71\) | −12.6408 | + | 4.60088i | −1.50019 | + | 0.546024i | −0.956109 | − | 0.293010i | \(-0.905343\pi\) |
−0.544079 | + | 0.839034i | \(0.683121\pi\) | |||||||
\(72\) | 3.04319 | + | 5.47401i | 0.358643 | + | 0.645119i | ||||
\(73\) | 3.72979 | + | 1.35753i | 0.436538 | + | 0.158887i | 0.550935 | − | 0.834548i | \(-0.314271\pi\) |
−0.114397 | + | 0.993435i | \(0.536493\pi\) | |||||||
\(74\) | −5.64926 | − | 5.98787i | −0.656713 | − | 0.696075i | ||||
\(75\) | 0.318700 | + | 6.35953i | 0.0368003 | + | 0.734336i | ||||
\(76\) | −13.5014 | − | 8.88000i | −1.54872 | − | 1.01861i | ||||
\(77\) | 4.49899 | + | 15.0277i | 0.512707 | + | 1.71256i | ||||
\(78\) | −0.468868 | − | 2.79120i | −0.0530888 | − | 0.316041i | ||||
\(79\) | 1.69751 | − | 2.28015i | 0.190985 | − | 0.256537i | −0.696308 | − | 0.717743i | \(-0.745175\pi\) |
0.887293 | + | 0.461205i | \(0.152583\pi\) | |||||||
\(80\) | 3.64926 | 0.408000 | ||||||||
\(81\) | 1.27469 | + | 8.90927i | 0.141632 | + | 0.989919i | ||||
\(82\) | 22.7277 | 2.50986 | ||||||||
\(83\) | 0.210107 | − | 0.282223i | 0.0230623 | − | 0.0309780i | −0.790442 | − | 0.612536i | \(-0.790149\pi\) |
0.813505 | + | 0.581558i | \(0.197557\pi\) | |||||||
\(84\) | −11.6053 | + | 9.57875i | −1.26624 | + | 1.04513i | ||||
\(85\) | 1.22739 | + | 4.09977i | 0.133129 | + | 0.444682i | ||||
\(86\) | −14.7268 | − | 9.68599i | −1.58804 | − | 1.04447i | ||||
\(87\) | −5.47943 | − | 2.80772i | −0.587456 | − | 0.301019i | ||||
\(88\) | −7.60351 | − | 8.05925i | −0.810537 | − | 0.859119i | ||||
\(89\) | 5.34347 | + | 1.94487i | 0.566407 | + | 0.206155i | 0.609321 | − | 0.792923i | \(-0.291442\pi\) |
−0.0429141 | + | 0.999079i | \(0.513664\pi\) | |||||||
\(90\) | −18.3435 | − | 7.01528i | −1.93357 | − | 0.739475i | ||||
\(91\) | 2.04212 | − | 0.743272i | 0.214073 | − | 0.0779160i | ||||
\(92\) | −1.18427 | − | 0.594763i | −0.123469 | − | 0.0620083i | ||||
\(93\) | −1.60145 | − | 1.07199i | −0.166063 | − | 0.111160i | ||||
\(94\) | −4.86142 | + | 11.2700i | −0.501417 | + | 1.16242i | ||||
\(95\) | 16.0845 | − | 1.88000i | 1.65023 | − | 0.192884i | ||||
\(96\) | −4.84252 | + | 10.9806i | −0.494238 | + | 1.12071i | ||||
\(97\) | 5.88981 | − | 3.87379i | 0.598019 | − | 0.393323i | −0.214103 | − | 0.976811i | \(-0.568683\pi\) |
0.812122 | + | 0.583488i | \(0.198312\pi\) | |||||||
\(98\) | −2.95571 | − | 2.48014i | −0.298572 | − | 0.250532i | ||||
\(99\) | −6.06850 | − | 14.7200i | −0.609907 | − | 1.47942i | ||||
\(100\) | 8.27780 | − | 6.94590i | 0.827780 | − | 0.694590i | ||||
\(101\) | −3.04350 | + | 10.1660i | −0.302839 | + | 1.01155i | 0.662174 | + | 0.749351i | \(0.269634\pi\) |
−0.965013 | + | 0.262203i | \(0.915551\pi\) | |||||||
\(102\) | −5.54951 | − | 0.694287i | −0.549484 | − | 0.0687446i | ||||
\(103\) | −15.9257 | + | 7.99820i | −1.56921 | + | 0.788086i | −0.999432 | − | 0.0337138i | \(-0.989267\pi\) |
−0.569776 | + | 0.821800i | \(0.692970\pi\) | |||||||
\(104\) | −1.05336 | + | 1.11650i | −0.103291 | + | 0.109482i | ||||
\(105\) | 2.73881 | − | 14.8287i | 0.267280 | − | 1.44713i | ||||
\(106\) | −3.22216 | − | 7.46981i | −0.312964 | − | 0.725532i | ||||
\(107\) | 0.0249146 | + | 0.0431534i | 0.00240859 | + | 0.00417180i | 0.867227 | − | 0.497913i | \(-0.165900\pi\) |
−0.864819 | + | 0.502084i | \(0.832567\pi\) | |||||||
\(108\) | 10.7482 | − | 10.8513i | 1.03425 | − | 1.04417i | ||||
\(109\) | 0.202520 | − | 0.350775i | 0.0193979 | − | 0.0335981i | −0.856164 | − | 0.516705i | \(-0.827158\pi\) |
0.875561 | + | 0.483107i | \(0.160492\pi\) | |||||||
\(110\) | 34.5086 | + | 4.03348i | 3.29027 | + | 0.384577i | ||||
\(111\) | −3.25275 | + | 5.52992i | −0.308738 | + | 0.524877i | ||||
\(112\) | −3.56311 | − | 0.844473i | −0.336682 | − | 0.0797952i | ||||
\(113\) | 0.661442 | − | 11.3565i | 0.0622232 | − | 1.06833i | −0.812266 | − | 0.583287i | \(-0.801766\pi\) |
0.874490 | − | 0.485044i | \(-0.161197\pi\) | |||||||
\(114\) | −6.23382 | + | 20.2243i | −0.583851 | + | 1.89418i | ||||
\(115\) | 1.29223 | − | 0.306264i | 0.120501 | − | 0.0285592i | ||||
\(116\) | 1.81436 | + | 10.2897i | 0.168459 | + | 0.955379i | ||||
\(117\) | −1.98693 | + | 0.957860i | −0.183692 | + | 0.0885542i | ||||
\(118\) | −2.76547 | + | 15.6838i | −0.254582 | + | 1.44381i | ||||
\(119\) | −0.249690 | − | 4.28701i | −0.0228891 | − | 0.392990i | ||||
\(120\) | 2.97195 | + | 10.2280i | 0.271300 | + | 0.933686i | ||||
\(121\) | 10.2516 | + | 13.7703i | 0.931962 | + | 1.25184i | ||||
\(122\) | −5.77980 | − | 7.76362i | −0.523278 | − | 0.702885i | ||||
\(123\) | −4.94231 | − | 17.0091i | −0.445633 | − | 1.53366i | ||||
\(124\) | 0.190157 | + | 3.26486i | 0.0170766 | + | 0.293193i | ||||
\(125\) | 0.677067 | − | 3.83984i | 0.0605587 | − | 0.343445i | ||||
\(126\) | 16.2870 | + | 11.0945i | 1.45096 | + | 0.988378i | ||||
\(127\) | 2.26532 | + | 12.8473i | 0.201015 | + | 1.14001i | 0.903589 | + | 0.428401i | \(0.140923\pi\) |
−0.702574 | + | 0.711611i | \(0.747966\pi\) | |||||||
\(128\) | 14.4588 | − | 3.42680i | 1.27799 | − | 0.302889i | ||||
\(129\) | −4.04638 | + | 13.1276i | −0.356264 | + | 1.15582i | ||||
\(130\) | 0.279866 | − | 4.80512i | 0.0245459 | − | 0.421436i | ||||
\(131\) | 7.79184 | + | 1.84670i | 0.680776 | + | 0.161347i | 0.556433 | − | 0.830892i | \(-0.312170\pi\) |
0.124343 | + | 0.992239i | \(0.460318\pi\) | |||||||
\(132\) | −13.6992 | + | 23.2897i | −1.19236 | + | 2.02711i | ||||
\(133\) | −16.1398 | − | 1.88647i | −1.39950 | − | 0.163578i | ||||
\(134\) | 12.5753 | − | 21.7810i | 1.08634 | − | 1.88160i | ||||
\(135\) | −1.26120 | + | 15.2535i | −0.108547 | + | 1.31281i | ||||
\(136\) | 1.51658 | + | 2.62680i | 0.130046 | + | 0.225246i | ||||
\(137\) | −4.08774 | − | 9.47644i | −0.349239 | − | 0.809627i | −0.998784 | − | 0.0493036i | \(-0.984300\pi\) |
0.649545 | − | 0.760323i | \(-0.274959\pi\) | |||||||
\(138\) | −0.315218 | + | 1.70668i | −0.0268331 | + | 0.145282i | ||||
\(139\) | 11.9776 | − | 12.6956i | 1.01593 | − | 1.07682i | 0.0188987 | − | 0.999821i | \(-0.493984\pi\) |
0.997031 | − | 0.0770012i | \(-0.0245345\pi\) | |||||||
\(140\) | −22.8684 | + | 11.4850i | −1.93274 | + | 0.970656i | ||||
\(141\) | 9.49147 | + | 1.18746i | 0.799326 | + | 0.100002i | ||||
\(142\) | 8.57449 | − | 28.6408i | 0.719555 | − | 2.40348i | ||||
\(143\) | 2.98926 | − | 2.50829i | 0.249974 | − | 0.209753i | ||||
\(144\) | 3.68410 | + | 0.491271i | 0.307008 | + | 0.0409392i | ||||
\(145\) | −8.02088 | − | 6.73032i | −0.666098 | − | 0.558923i | ||||
\(146\) | −7.37010 | + | 4.84739i | −0.609954 | + | 0.401173i | ||||
\(147\) | −1.21335 | + | 2.75133i | −0.100076 | + | 0.226926i | ||||
\(148\) | 10.8140 | − | 1.26397i | 0.888902 | − | 0.103898i | ||||
\(149\) | −3.29309 | + | 7.63423i | −0.269780 | + | 0.625421i | −0.998217 | − | 0.0596926i | \(-0.980988\pi\) |
0.728437 | + | 0.685113i | \(0.240247\pi\) | |||||||
\(150\) | −11.7601 | − | 7.87200i | −0.960204 | − | 0.642746i | ||||
\(151\) | −15.7285 | − | 7.89913i | −1.27996 | − | 0.642822i | −0.326748 | − | 0.945111i | \(-0.605953\pi\) |
−0.953216 | + | 0.302289i | \(0.902249\pi\) | |||||||
\(152\) | 10.7854 | − | 3.92557i | 0.874812 | − | 0.318406i | ||||
\(153\) | 0.687190 | + | 4.30415i | 0.0555560 | + | 0.347970i | ||||
\(154\) | −32.7606 | − | 11.9239i | −2.63992 | − | 0.960854i | ||||
\(155\) | −2.24902 | − | 2.38382i | −0.180645 | − | 0.191473i | ||||
\(156\) | 3.33137 | + | 1.70703i | 0.266723 | + | 0.136672i | ||||
\(157\) | 1.80033 | + | 1.18409i | 0.143682 | + | 0.0945009i | 0.619315 | − | 0.785143i | \(-0.287411\pi\) |
−0.475633 | + | 0.879644i | \(0.657781\pi\) | |||||||
\(158\) | 1.81193 | + | 6.05228i | 0.144150 | + | 0.481493i | ||||
\(159\) | −4.88960 | + | 4.03578i | −0.387771 | + | 0.320058i | ||||
\(160\) | −12.1875 | + | 16.3706i | −0.963505 | + | 1.29421i | ||||
\(161\) | −1.33260 | −0.105023 | ||||||||
\(162\) | −17.5742 | − | 9.55170i | −1.38076 | − | 0.750452i | ||||
\(163\) | 9.47594 | 0.742213 | 0.371106 | − | 0.928590i | \(-0.378979\pi\) | ||||
0.371106 | + | 0.928590i | \(0.378979\pi\) | |||||||
\(164\) | −17.9499 | + | 24.1109i | −1.40165 | + | 1.88275i | ||||
\(165\) | −4.48557 | − | 26.7028i | −0.349201 | − | 2.07881i | ||||
\(166\) | 0.224270 | + | 0.749113i | 0.0174067 | + | 0.0581424i | ||||
\(167\) | 3.19286 | + | 2.09998i | 0.247071 | + | 0.162501i | 0.667005 | − | 0.745054i | \(-0.267576\pi\) |
−0.419933 | + | 0.907555i | \(0.637947\pi\) | |||||||
\(168\) | −0.534929 | − | 10.6743i | −0.0412707 | − | 0.823540i | ||||
\(169\) | 8.55016 | + | 9.06264i | 0.657705 | + | 0.697126i | ||||
\(170\) | −8.93757 | − | 3.25301i | −0.685480 | − | 0.249494i | ||||
\(171\) | 16.4911 | + | 0.267370i | 1.26111 | + | 0.0204463i | ||||
\(172\) | 21.9064 | − | 7.97329i | 1.67035 | − | 0.607958i | ||||
\(173\) | 7.47680 | + | 3.75499i | 0.568451 | + | 0.285487i | 0.709719 | − | 0.704485i | \(-0.248822\pi\) |
−0.141269 | + | 0.989971i | \(0.545118\pi\) | |||||||
\(174\) | 12.2774 | − | 6.04182i | 0.930747 | − | 0.458029i | ||||
\(175\) | 4.30378 | − | 9.97729i | 0.325336 | − | 0.754213i | ||||
\(176\) | −6.53076 | + | 0.763336i | −0.492274 | + | 0.0575386i | ||||
\(177\) | 12.3389 | − | 1.34092i | 0.927445 | − | 0.100789i | ||||
\(178\) | −10.5588 | + | 6.94461i | −0.791413 | + | 0.520521i | ||||
\(179\) | 4.19854 | + | 3.52299i | 0.313814 | + | 0.263321i | 0.786066 | − | 0.618142i | \(-0.212114\pi\) |
−0.472252 | + | 0.881463i | \(0.656559\pi\) | |||||||
\(180\) | 21.9296 | − | 13.9193i | 1.63453 | − | 1.03748i | ||||
\(181\) | 16.7963 | − | 14.0938i | 1.24846 | − | 1.04758i | 0.251645 | − | 0.967820i | \(-0.419028\pi\) |
0.996814 | − | 0.0797621i | \(-0.0254161\pi\) | |||||||
\(182\) | −1.38521 | + | 4.62692i | −0.102678 | + | 0.342970i | ||||
\(183\) | −4.55331 | + | 6.01377i | −0.336590 | + | 0.444551i | ||||
\(184\) | 0.841130 | − | 0.422431i | 0.0620089 | − | 0.0311421i | ||||
\(185\) | −7.48727 | + | 7.93604i | −0.550475 | + | 0.583469i | ||||
\(186\) | 4.03641 | − | 1.43219i | 0.295964 | − | 0.105013i | ||||
\(187\) | −3.05412 | − | 7.08025i | −0.223340 | − | 0.517759i | ||||
\(188\) | −8.11647 | − | 14.0581i | −0.591955 | − | 1.02530i | ||||
\(189\) | 4.76123 | − | 14.6015i | 0.346328 | − | 1.06211i | ||||
\(190\) | −17.9953 | + | 31.1687i | −1.30551 | + | 2.26122i | ||||
\(191\) | 12.6562 | + | 1.47930i | 0.915772 | + | 0.107038i | 0.560907 | − | 0.827879i | \(-0.310453\pi\) |
0.354865 | + | 0.934917i | \(0.384527\pi\) | |||||||
\(192\) | −11.0326 | − | 19.4718i | −0.796210 | − | 1.40526i | ||||
\(193\) | 19.7847 | + | 4.68906i | 1.42413 | + | 0.337526i | 0.869238 | − | 0.494394i | \(-0.164610\pi\) |
0.554896 | + | 0.831920i | \(0.312758\pi\) | |||||||
\(194\) | −0.910976 | + | 15.6409i | −0.0654043 | + | 1.12295i | ||||
\(195\) | −3.65693 | + | 0.835461i | −0.261878 | + | 0.0598286i | ||||
\(196\) | 4.96544 | − | 1.17683i | 0.354674 | − | 0.0840594i | ||||
\(197\) | −0.696981 | − | 3.95277i | −0.0496578 | − | 0.281623i | 0.949860 | − | 0.312676i | \(-0.101225\pi\) |
−0.999518 | + | 0.0310522i | \(0.990114\pi\) | |||||||
\(198\) | 34.2951 | + | 8.71762i | 2.43725 | + | 0.619534i | ||||
\(199\) | 0.667809 | − | 3.78734i | 0.0473398 | − | 0.268477i | −0.951946 | − | 0.306266i | \(-0.900920\pi\) |
0.999286 | + | 0.0377889i | \(0.0120314\pi\) | |||||||
\(200\) | 0.446257 | + | 7.66194i | 0.0315551 | + | 0.541781i | ||||
\(201\) | −19.0352 | − | 4.67470i | −1.34264 | − | 0.329728i | ||||
\(202\) | −14.0836 | − | 18.9176i | −0.990918 | − | 1.33103i | ||||
\(203\) | 6.27407 | + | 8.42754i | 0.440354 | + | 0.591497i | ||||
\(204\) | 5.11944 | − | 5.33892i | 0.358432 | − | 0.373799i | ||||
\(205\) | −1.75145 | − | 30.0713i | −0.122327 | − | 2.10027i | ||||
\(206\) | 6.87773 | − | 39.0056i | 0.479195 | − | 2.71765i | ||||
\(207\) | 1.34580 | − | 0.135225i | 0.0935393 | − | 0.00939882i | ||||
\(208\) | 0.158178 | + | 0.897070i | 0.0109676 | + | 0.0622006i | ||||
\(209\) | −28.3917 | + | 6.72896i | −1.96390 | + | 0.465452i | ||||
\(210\) | 22.8001 | + | 24.5625i | 1.57336 | + | 1.69498i | ||||
\(211\) | −0.414462 | + | 7.11605i | −0.0285328 | + | 0.489889i | 0.953526 | + | 0.301312i | \(0.0974245\pi\) |
−0.982058 | + | 0.188577i | \(0.939613\pi\) | |||||||
\(212\) | 10.4692 | + | 2.48125i | 0.719029 | + | 0.170413i | ||||
\(213\) | −23.2989 | − | 0.188860i | −1.59642 | − | 0.0129405i | ||||
\(214\) | −0.109995 | − | 0.0128566i | −0.00751911 | − | 0.000878858i | ||||
\(215\) | −11.6808 | + | 20.2317i | −0.796621 | + | 1.37979i | ||||
\(216\) | 1.62341 | + | 10.7258i | 0.110459 | + | 0.729796i | ||||
\(217\) | 1.64429 | + | 2.84799i | 0.111621 | + | 0.193334i | ||||
\(218\) | 0.356546 | + | 0.826566i | 0.0241483 | + | 0.0559821i | ||||
\(219\) | 5.23039 | + | 4.46156i | 0.353437 | + | 0.301485i | ||||
\(220\) | −31.5332 | + | 33.4233i | −2.12597 | + | 2.25340i | ||||
\(221\) | −0.954614 | + | 0.479425i | −0.0642143 | + | 0.0322496i | ||||
\(222\) | −5.54121 | − | 13.1378i | −0.371902 | − | 0.881750i | ||||
\(223\) | −4.25881 | + | 14.2254i | −0.285191 | + | 0.952604i | 0.688596 | + | 0.725145i | \(0.258227\pi\) |
−0.973788 | + | 0.227460i | \(0.926958\pi\) | |||||||
\(224\) | 15.6881 | − | 13.1639i | 1.04820 | − | 0.879548i | ||||
\(225\) | −3.33397 | + | 10.5129i | −0.222265 | + | 0.700858i | ||||
\(226\) | 19.3673 | + | 16.2511i | 1.28829 | + | 1.08101i | ||||
\(227\) | 11.2427 | − | 7.39441i | 0.746201 | − | 0.490784i | −0.118573 | − | 0.992945i | \(-0.537832\pi\) |
0.864774 | + | 0.502161i | \(0.167462\pi\) | |||||||
\(228\) | −16.5318 | − | 22.5860i | −1.09484 | − | 1.49579i | ||||
\(229\) | 3.23737 | − | 0.378394i | 0.213931 | − | 0.0250050i | −0.00845203 | − | 0.999964i | \(-0.502690\pi\) |
0.222383 | + | 0.974959i | \(0.428616\pi\) | |||||||
\(230\) | −1.16903 | + | 2.71011i | −0.0770833 | + | 0.178699i | ||||
\(231\) | −1.79961 | + | 27.1105i | −0.118406 | + | 1.78374i | ||||
\(232\) | −6.63170 | − | 3.33056i | −0.435392 | − | 0.218662i | ||||
\(233\) | 7.77413 | − | 2.82955i | 0.509300 | − | 0.185370i | −0.0745722 | − | 0.997216i | \(-0.523759\pi\) |
0.583872 | + | 0.811846i | \(0.301537\pi\) | |||||||
\(234\) | 0.929413 | − | 4.81332i | 0.0607576 | − | 0.314656i | ||||
\(235\) | 15.2861 | + | 5.56370i | 0.997158 | + | 0.362936i | ||||
\(236\) | −14.4542 | − | 15.3205i | −0.940886 | − | 0.997280i | ||||
\(237\) | 4.13541 | − | 2.67214i | 0.268624 | − | 0.173574i | ||||
\(238\) | 7.97380 | + | 5.24445i | 0.516865 | + | 0.339947i | ||||
\(239\) | −3.74646 | − | 12.5141i | −0.242339 | − | 0.809467i | −0.989463 | − | 0.144783i | \(-0.953751\pi\) |
0.747125 | − | 0.664684i | \(-0.231434\pi\) | |||||||
\(240\) | 5.92180 | + | 2.20988i | 0.382250 | + | 0.142647i | ||||
\(241\) | −0.377857 | + | 0.507550i | −0.0243399 | + | 0.0326941i | −0.814127 | − | 0.580687i | \(-0.802784\pi\) |
0.789787 | + | 0.613382i | \(0.210191\pi\) | |||||||
\(242\) | −38.1537 | −2.45261 | ||||||||
\(243\) | −3.32670 | + | 15.2293i | −0.213408 | + | 0.976963i | ||||
\(244\) | 12.8009 | 0.819493 | ||||||||
\(245\) | −3.05372 | + | 4.10186i | −0.195095 | + | 0.262058i | ||||
\(246\) | 36.8812 | + | 13.7632i | 2.35146 | + | 0.877510i | ||||
\(247\) | 1.15933 | + | 3.87244i | 0.0737665 | + | 0.246397i | ||||
\(248\) | −1.94068 | − | 1.27640i | −0.123233 | − | 0.0810517i | ||||
\(249\) | 0.511855 | − | 0.330740i | 0.0324375 | − | 0.0209598i | ||||
\(250\) | 5.94666 | + | 6.30310i | 0.376100 | + | 0.398643i | ||||
\(251\) | 12.9984 | + | 4.73104i | 0.820454 | + | 0.298621i | 0.717935 | − | 0.696110i | \(-0.245088\pi\) |
0.102519 | + | 0.994731i | \(0.467310\pi\) | |||||||
\(252\) | −24.6329 | + | 8.51602i | −1.55173 | + | 0.536459i | ||||
\(253\) | −2.24852 | + | 0.818396i | −0.141364 | + | 0.0514521i | ||||
\(254\) | −25.9092 | − | 13.0121i | −1.62569 | − | 0.816451i | ||||
\(255\) | −0.490960 | + | 7.39613i | −0.0307451 | + | 0.463163i | ||||
\(256\) | −2.84463 | + | 6.59459i | −0.177789 | + | 0.412162i | ||||
\(257\) | −26.0284 | + | 3.04229i | −1.62361 | + | 0.189773i | −0.878694 | − | 0.477386i | \(-0.841585\pi\) |
−0.744916 | + | 0.667158i | \(0.767510\pi\) | |||||||
\(258\) | −18.0323 | − | 24.6360i | −1.12264 | − | 1.53377i | ||||
\(259\) | 9.14699 | − | 6.01607i | 0.568366 | − | 0.373820i | ||||
\(260\) | 4.87652 | + | 4.09189i | 0.302429 | + | 0.253768i | ||||
\(261\) | −7.19141 | − | 7.87437i | −0.445137 | − | 0.487411i | ||||
\(262\) | −13.6332 | + | 11.4396i | −0.842259 | + | 0.706739i | ||||
\(263\) | −0.407994 | + | 1.36280i | −0.0251580 | + | 0.0840336i | −0.969647 | − | 0.244510i | \(-0.921373\pi\) |
0.944489 | + | 0.328544i | \(0.106558\pi\) | |||||||
\(264\) | −7.45808 | − | 17.6825i | −0.459013 | − | 1.08828i | ||||
\(265\) | −9.63508 | + | 4.83892i | −0.591878 | + | 0.297252i | ||||
\(266\) | 24.7832 | − | 26.2686i | 1.51955 | − | 1.61063i | ||||
\(267\) | 7.49332 | + | 6.39186i | 0.458584 | + | 0.391175i | ||||
\(268\) | 13.1749 | + | 30.5429i | 0.804785 | + | 1.86570i | ||||
\(269\) | −2.73320 | − | 4.73405i | −0.166646 | − | 0.288640i | 0.770592 | − | 0.637328i | \(-0.219961\pi\) |
−0.937239 | + | 0.348688i | \(0.886627\pi\) | |||||||
\(270\) | −25.5185 | − | 22.4922i | −1.55300 | − | 1.36883i | ||||
\(271\) | −15.3667 | + | 26.6158i | −0.933458 | + | 1.61680i | −0.156099 | + | 0.987741i | \(0.549892\pi\) |
−0.777360 | + | 0.629056i | \(0.783442\pi\) | |||||||
\(272\) | 1.78782 | + | 0.208966i | 0.108402 | + | 0.0126704i | ||||
\(273\) | 3.76394 | + | 0.0305103i | 0.227804 | + | 0.00184657i | ||||
\(274\) | 22.3187 | + | 5.28962i | 1.34832 | + | 0.319558i | ||||
\(275\) | 1.13447 | − | 19.4781i | 0.0684111 | − | 1.17457i | ||||
\(276\) | −1.56159 | − | 1.68230i | −0.0939968 | − | 0.101263i | ||||
\(277\) | 4.43276 | − | 1.05058i | 0.266339 | − | 0.0631234i | −0.0952766 | − | 0.995451i | \(-0.530374\pi\) |
0.361615 | + | 0.932327i | \(0.382225\pi\) | |||||||
\(278\) | 6.73596 | + | 38.2015i | 0.403996 | + | 2.29117i | ||||
\(279\) | −1.94958 | − | 2.70935i | −0.116718 | − | 0.162204i | ||||
\(280\) | 3.15617 | − | 17.8995i | 0.188617 | − | 1.06970i | ||||
\(281\) | −1.06252 | − | 18.2428i | −0.0633848 | − | 1.08827i | −0.868671 | − | 0.495389i | \(-0.835026\pi\) |
0.805287 | − | 0.592886i | \(-0.202011\pi\) | |||||||
\(282\) | −14.7136 | + | 15.3444i | −0.876183 | + | 0.913746i | ||||
\(283\) | −14.1444 | − | 18.9992i | −0.840794 | − | 1.12938i | −0.990068 | − | 0.140587i | \(-0.955101\pi\) |
0.149274 | − | 0.988796i | \(-0.452306\pi\) | |||||||
\(284\) | 23.6119 | + | 31.7163i | 1.40111 | + | 1.88202i | ||||
\(285\) | 27.2394 | + | 6.68951i | 1.61352 | + | 0.396252i | ||||
\(286\) | 0.504261 | + | 8.65783i | 0.0298176 | + | 0.511948i | ||||
\(287\) | −5.24867 | + | 29.7667i | −0.309819 | + | 1.75707i | ||||
\(288\) | −14.5077 | + | 14.8862i | −0.854874 | + | 0.877179i | ||||
\(289\) | −2.58547 | − | 14.6629i | −0.152086 | − | 0.862525i | ||||
\(290\) | 22.6431 | − | 5.36652i | 1.32965 | − | 0.315133i | ||||
\(291\) | 11.9035 | − | 2.71946i | 0.697794 | − | 0.159418i | ||||
\(292\) | 0.678361 | − | 11.6470i | 0.0396981 | − | 0.681590i | ||||
\(293\) | −4.63951 | − | 1.09958i | −0.271043 | − | 0.0642384i | 0.0928467 | − | 0.995680i | \(-0.470403\pi\) |
−0.363890 | + | 0.931442i | \(0.618552\pi\) | |||||||
\(294\) | −3.29446 | − | 5.81451i | −0.192137 | − | 0.339109i | ||||
\(295\) | 20.9645 | + | 2.45040i | 1.22060 | + | 0.142668i | ||||
\(296\) | −3.86647 | + | 6.69691i | −0.224734 | + | 0.389250i | ||||
\(297\) | −0.933603 | − | 27.5616i | −0.0541731 | − | 1.59929i | ||||
\(298\) | −9.23901 | − | 16.0024i | −0.535202 | − | 0.926996i | ||||
\(299\) | 0.131298 | + | 0.304384i | 0.00759318 | + | 0.0176030i | ||||
\(300\) | 17.6390 | − | 6.25861i | 1.01839 | − | 0.361341i | ||||
\(301\) | 16.0868 | − | 17.0510i | 0.927228 | − | 0.982804i | ||||
\(302\) | 34.9560 | − | 17.5556i | 2.01149 | − | 1.01021i | ||||
\(303\) | −11.0950 | + | 14.6537i | −0.637392 | + | 0.841833i | ||||
\(304\) | 1.95348 | − | 6.52506i | 0.112040 | − | 0.374238i | ||||
\(305\) | −9.82673 | + | 8.24560i | −0.562677 | + | 0.472142i | ||||
\(306\) | −8.58498 | − | 4.48726i | −0.490771 | − | 0.256520i | ||||
\(307\) | −8.26674 | − | 6.93662i | −0.471808 | − | 0.395894i | 0.375646 | − | 0.926763i | \(-0.377421\pi\) |
−0.847453 | + | 0.530870i | \(0.821865\pi\) | |||||||
\(308\) | 38.5233 | − | 25.3371i | 2.19507 | − | 1.44372i | ||||
\(309\) | −30.6868 | + | 3.33486i | −1.74571 | + | 0.189714i | ||||
\(310\) | 7.23443 | − | 0.845583i | 0.410888 | − | 0.0480259i | ||||
\(311\) | 3.83460 | − | 8.88961i | 0.217440 | − | 0.504083i | −0.774227 | − | 0.632908i | \(-0.781861\pi\) |
0.991667 | + | 0.128825i | \(0.0411204\pi\) | |||||||
\(312\) | −2.38546 | + | 1.17391i | −0.135050 | + | 0.0664593i | ||||
\(313\) | −5.70772 | − | 2.86653i | −0.322620 | − | 0.162026i | 0.280117 | − | 0.959966i | \(-0.409627\pi\) |
−0.602737 | + | 0.797940i | \(0.705923\pi\) | |||||||
\(314\) | −4.50020 | + | 1.63794i | −0.253961 | + | 0.0924343i | ||||
\(315\) | 13.4242 | − | 22.4045i | 0.756366 | − | 1.26235i | ||||
\(316\) | −7.85165 | − | 2.85777i | −0.441690 | − | 0.160762i | ||||
\(317\) | 14.1442 | + | 14.9919i | 0.794416 | + | 0.842032i | 0.990351 | − | 0.138585i | \(-0.0442555\pi\) |
−0.195935 | + | 0.980617i | \(0.562774\pi\) | |||||||
\(318\) | −0.705241 | − | 14.0728i | −0.0395479 | − | 0.789163i | ||||
\(319\) | 15.7621 | + | 10.3669i | 0.882507 | + | 0.580434i | ||||
\(320\) | −10.9157 | − | 36.4611i | −0.610209 | − | 2.03824i | ||||
\(321\) | 0.0142976 | + | 0.0851144i | 0.000798014 | + | 0.00475062i | ||||
\(322\) | 1.76857 | − | 2.37561i | 0.0985587 | − | 0.132387i | ||||
\(323\) | 7.98763 | 0.444444 | ||||||||
\(324\) | 24.0128 | − | 11.1000i | 1.33404 | − | 0.616668i | ||||
\(325\) | −2.70300 | −0.149936 | ||||||||
\(326\) | −12.5761 | + | 16.8927i | −0.696527 | + | 0.935599i | ||||
\(327\) | 0.541055 | − | 0.446576i | 0.0299204 | − | 0.0246957i | ||||
\(328\) | −6.12307 | − | 20.4525i | −0.338090 | − | 1.12930i | ||||
\(329\) | −13.6378 | − | 8.96972i | −0.751876 | − | 0.494517i | ||||
\(330\) | 53.5560 | + | 27.4427i | 2.94816 | + | 1.51067i | ||||
\(331\) | −13.9290 | − | 14.7639i | −0.765610 | − | 0.811499i | 0.220884 | − | 0.975300i | \(-0.429106\pi\) |
−0.986493 | + | 0.163801i | \(0.947624\pi\) | |||||||
\(332\) | −0.971828 | − | 0.353716i | −0.0533360 | − | 0.0194127i | ||||
\(333\) | −8.62712 | + | 7.00386i | −0.472764 | + | 0.383809i | ||||
\(334\) | −7.98107 | + | 2.90487i | −0.436705 | + | 0.158948i | ||||
\(335\) | −29.7878 | − | 14.9600i | −1.62748 | − | 0.817353i | ||||
\(336\) | −5.27061 | − | 3.52807i | −0.287536 | − | 0.192472i | ||||
\(337\) | −1.44819 | + | 3.35728i | −0.0788880 | + | 0.182883i | −0.953096 | − | 0.302669i | \(-0.902122\pi\) |
0.874208 | + | 0.485552i | \(0.161381\pi\) | |||||||
\(338\) | −27.5034 | + | 3.21468i | −1.49599 | + | 0.174856i | ||||
\(339\) | 7.95051 | − | 18.0281i | 0.431812 | − | 0.979153i | ||||
\(340\) | 10.5097 | − | 6.91234i | 0.569969 | − | 0.374874i | ||||
\(341\) | 4.52350 | + | 3.79567i | 0.244961 | + | 0.205547i | ||||
\(342\) | −22.3631 | + | 29.0438i | −1.20926 | + | 1.57051i | ||||
\(343\) | −11.9185 | + | 10.0008i | −0.643537 | + | 0.539992i | ||||
\(344\) | −4.74879 | + | 15.8621i | −0.256038 | + | 0.855225i | ||||
\(345\) | 2.28242 | + | 0.285548i | 0.122881 | + | 0.0153734i | ||||
\(346\) | −16.6169 | + | 8.34534i | −0.893332 | + | 0.448648i | ||||
\(347\) | −20.0082 | + | 21.2074i | −1.07410 | + | 1.13848i | −0.0842334 | + | 0.996446i | \(0.526844\pi\) |
−0.989862 | + | 0.142029i | \(0.954637\pi\) | |||||||
\(348\) | −3.28692 | + | 17.7963i | −0.176198 | + | 0.953982i | ||||
\(349\) | 6.70643 | + | 15.5473i | 0.358987 | + | 0.832225i | 0.998011 | + | 0.0630387i | \(0.0200792\pi\) |
−0.639024 | + | 0.769187i | \(0.720662\pi\) | |||||||
\(350\) | 12.0746 | + | 20.9138i | 0.645415 | + | 1.11789i | ||||
\(351\) | −3.80432 | + | 0.351134i | −0.203060 | + | 0.0187421i | ||||
\(352\) | 18.3865 | − | 31.8464i | 0.980005 | − | 1.69742i | ||||
\(353\) | 22.5947 | + | 2.64094i | 1.20259 | + | 0.140563i | 0.693698 | − | 0.720266i | \(-0.255980\pi\) |
0.508894 | + | 0.860829i | \(0.330054\pi\) | |||||||
\(354\) | −13.9853 | + | 23.7760i | −0.743308 | + | 1.26368i | ||||
\(355\) | −38.5557 | − | 9.13788i | −2.04633 | − | 0.484988i | ||||
\(356\) | 0.971854 | − | 16.6861i | 0.0515082 | − | 0.884361i | ||||
\(357\) | 2.19090 | − | 7.10791i | 0.115955 | − | 0.376191i | ||||
\(358\) | −11.8526 | + | 2.80911i | −0.626428 | + | 0.148466i | ||||
\(359\) | −2.65948 | − | 15.0826i | −0.140362 | − | 0.796032i | −0.970975 | − | 0.239182i | \(-0.923121\pi\) |
0.830613 | − | 0.556850i | \(-0.187990\pi\) | |||||||
\(360\) | −1.37108 | + | 18.3971i | −0.0722621 | + | 0.969614i | ||||
\(361\) | 1.94928 | − | 11.0549i | 0.102593 | − | 0.581836i | ||||
\(362\) | 2.83339 | + | 48.6474i | 0.148920 | + | 2.55685i | ||||
\(363\) | 8.29680 | + | 28.5536i | 0.435469 | + | 1.49868i | ||||
\(364\) | −3.81450 | − | 5.12376i | −0.199934 | − | 0.268558i | ||||
\(365\) | 6.98160 | + | 9.37791i | 0.365433 | + | 0.490862i | ||||
\(366\) | −4.67770 | − | 16.0984i | −0.244507 | − | 0.841477i | ||||
\(367\) | −0.816173 | − | 14.0131i | −0.0426039 | − | 0.731480i | −0.950201 | − | 0.311638i | \(-0.899122\pi\) |
0.907597 | − | 0.419842i | \(-0.137915\pi\) | |||||||
\(368\) | 0.0969946 | − | 0.550084i | 0.00505619 | − | 0.0286751i | ||||
\(369\) | 2.28008 | − | 30.5942i | 0.118696 | − | 1.59267i | ||||
\(370\) | −4.21068 | − | 23.8799i | −0.218903 | − | 1.24146i | ||||
\(371\) | 10.5274 | − | 2.49504i | 0.546555 | − | 0.129536i | ||||
\(372\) | −1.66853 | + | 5.41318i | −0.0865091 | + | 0.280660i | ||||
\(373\) | 1.58424 | − | 27.2004i | 0.0820290 | − | 1.40838i | −0.666610 | − | 0.745406i | \(-0.732255\pi\) |
0.748639 | − | 0.662978i | \(-0.230708\pi\) | |||||||
\(374\) | 16.6752 | + | 3.95210i | 0.862256 | + | 0.204358i | ||||
\(375\) | 3.42399 | − | 5.82104i | 0.176814 | − | 0.300597i | ||||
\(376\) | 11.4515 | + | 1.33849i | 0.590567 | + | 0.0690274i | ||||
\(377\) | 1.30680 | − | 2.26344i | 0.0673035 | − | 0.116573i | ||||
\(378\) | 19.7111 | + | 27.8665i | 1.01383 | + | 1.43330i | ||||
\(379\) | −4.29852 | − | 7.44526i | −0.220800 | − | 0.382437i | 0.734251 | − | 0.678878i | \(-0.237534\pi\) |
−0.955051 | + | 0.296441i | \(0.904200\pi\) | |||||||
\(380\) | −18.8533 | − | 43.7069i | −0.967155 | − | 2.24212i | ||||
\(381\) | −4.10390 | + | 22.2196i | −0.210249 | + | 1.13835i | ||||
\(382\) | −19.4340 | + | 20.5989i | −0.994331 | + | 1.05393i | ||||
\(383\) | −17.2369 | + | 8.65669i | −0.880764 | + | 0.442336i | −0.830901 | − | 0.556420i | \(-0.812175\pi\) |
−0.0498624 | + | 0.998756i | \(0.515878\pi\) | |||||||
\(384\) | 25.5380 | + | 3.19500i | 1.30323 | + | 0.163044i | ||||
\(385\) | −13.2520 | + | 44.2648i | −0.675385 | + | 2.25594i | ||||
\(386\) | −34.6167 | + | 29.0469i | −1.76194 | + | 1.47845i | ||||
\(387\) | −14.5159 | + | 18.8524i | −0.737886 | + | 0.958319i | ||||
\(388\) | −15.8733 | − | 13.3193i | −0.805844 | − | 0.676183i | ||||
\(389\) | 26.0189 | − | 17.1129i | 1.31921 | − | 0.867659i | 0.322335 | − | 0.946626i | \(-0.395532\pi\) |
0.996877 | + | 0.0789664i | \(0.0251620\pi\) | |||||||
\(390\) | 3.36398 | − | 7.62797i | 0.170342 | − | 0.386258i | ||||
\(391\) | 0.650616 | − | 0.0760461i | 0.0329031 | − | 0.00384582i | ||||
\(392\) | −1.43556 | + | 3.32799i | −0.0725066 | + | 0.168089i | ||||
\(393\) | 11.5258 | + | 7.71522i | 0.581401 | + | 0.389181i | ||||
\(394\) | 7.97158 | + | 4.00348i | 0.401603 | + | 0.201692i | ||||
\(395\) | 7.86821 | − | 2.86379i | 0.395893 | − | 0.144093i | ||||
\(396\) | −36.3338 | + | 29.4973i | −1.82584 | + | 1.48230i | ||||
\(397\) | −10.0204 | − | 3.64712i | −0.502908 | − | 0.183044i | 0.0780935 | − | 0.996946i | \(-0.475117\pi\) |
−0.581002 | + | 0.813902i | \(0.697339\pi\) | |||||||
\(398\) | 5.86536 | + | 6.21692i | 0.294004 | + | 0.311626i | ||||
\(399\) | −25.0483 | − | 12.8350i | −1.25398 | − | 0.642555i | ||||
\(400\) | 3.80528 | + | 2.50277i | 0.190264 | + | 0.125139i | ||||
\(401\) | 2.32332 | + | 7.76042i | 0.116021 | + | 0.387537i | 0.996199 | − | 0.0871067i | \(-0.0277621\pi\) |
−0.880178 | + | 0.474644i | \(0.842577\pi\) | |||||||
\(402\) | 33.5964 | − | 27.7298i | 1.67563 | − | 1.38303i | ||||
\(403\) | 0.488512 | − | 0.656186i | 0.0243345 | − | 0.0326869i | ||||
\(404\) | 31.1918 | 1.55185 | ||||||||
\(405\) | −11.2837 | + | 23.9887i | −0.560689 | + | 1.19201i | ||||
\(406\) | −23.3504 | −1.15886 | ||||||||
\(407\) | 11.7393 | − | 15.7686i | 0.581895 | − | 0.781620i | ||||
\(408\) | 0.870311 | + | 5.18101i | 0.0430868 | + | 0.256498i | ||||
\(409\) | 10.7499 | + | 35.9072i | 0.531549 | + | 1.77550i | 0.625839 | + | 0.779952i | \(0.284757\pi\) |
−0.0942897 | + | 0.995545i | \(0.530058\pi\) | |||||||
\(410\) | 55.9323 | + | 36.7872i | 2.76230 | + | 1.81679i | ||||
\(411\) | −0.894691 | − | 17.8532i | −0.0441319 | − | 0.880634i | ||||
\(412\) | 35.9475 | + | 38.1022i | 1.77101 | + | 1.87716i | ||||
\(413\) | −19.9025 | − | 7.24393i | −0.979339 | − | 0.356450i | ||||
\(414\) | −1.54503 | + | 2.57861i | −0.0759340 | + | 0.126732i | ||||
\(415\) | 0.973877 | − | 0.354462i | 0.0478058 | − | 0.0173999i | ||||
\(416\) | −4.55254 | − | 2.28637i | −0.223207 | − | 0.112099i | ||||
\(417\) | 27.1246 | − | 13.3483i | 1.32830 | − | 0.653669i | ||||
\(418\) | 25.6848 | − | 59.5441i | 1.25629 | − | 2.91240i | ||||
\(419\) | 12.8086 | − | 1.49711i | 0.625739 | − | 0.0731384i | 0.202687 | − | 0.979244i | \(-0.435033\pi\) |
0.423052 | + | 0.906105i | \(0.360959\pi\) | |||||||
\(420\) | −44.0645 | + | 4.78868i | −2.15013 | + | 0.233664i | ||||
\(421\) | −19.3273 | + | 12.7118i | −0.941955 | + | 0.619533i | −0.924855 | − | 0.380320i | \(-0.875814\pi\) |
−0.0171000 | + | 0.999854i | \(0.505443\pi\) | |||||||
\(422\) | −12.1357 | − | 10.1830i | −0.590754 | − | 0.495702i | ||||
\(423\) | 14.6831 | + | 7.67468i | 0.713917 | + | 0.373156i | ||||
\(424\) | −5.85394 | + | 4.91204i | −0.284292 | + | 0.238550i | ||||
\(425\) | −1.53188 | + | 5.11684i | −0.0743071 | + | 0.248203i | ||||
\(426\) | 31.2582 | − | 41.2841i | 1.51446 | − | 2.00022i | ||||
\(427\) | 11.5029 | − | 5.77695i | 0.556662 | − | 0.279566i | ||||
\(428\) | 0.100511 | − | 0.106535i | 0.00485838 | − | 0.00514959i | ||||
\(429\) | 6.36973 | − | 2.26009i | 0.307534 | − | 0.109118i | ||||
\(430\) | −20.5645 | − | 47.6739i | −0.991710 | − | 2.29904i | ||||
\(431\) | 11.3499 | + | 19.6586i | 0.546706 | + | 0.946923i | 0.998497 | + | 0.0547992i | \(0.0174519\pi\) |
−0.451791 | + | 0.892124i | \(0.649215\pi\) | |||||||
\(432\) | 5.68084 | + | 3.02819i | 0.273320 | + | 0.145694i | ||||
\(433\) | 9.10550 | − | 15.7712i | 0.437583 | − | 0.757915i | −0.559920 | − | 0.828547i | \(-0.689168\pi\) |
0.997502 | + | 0.0706315i | \(0.0225015\pi\) | |||||||
\(434\) | −7.25932 | − | 0.848493i | −0.348458 | − | 0.0407289i | ||||
\(435\) | −8.94013 | − | 15.7788i | −0.428646 | − | 0.756534i | ||||
\(436\) | −1.15846 | − | 0.274561i | −0.0554803 | − | 0.0131491i | ||||
\(437\) | 0.144124 | − | 2.47452i | 0.00689440 | − | 0.118372i | ||||
\(438\) | −14.8952 | + | 3.40295i | −0.711720 | + | 0.162599i | ||||
\(439\) | 26.7551 | − | 6.34107i | 1.27695 | − | 0.302643i | 0.464448 | − | 0.885600i | \(-0.346253\pi\) |
0.812503 | + | 0.582958i | \(0.198105\pi\) | |||||||
\(440\) | −5.66727 | − | 32.1407i | −0.270177 | − | 1.53225i | ||||
\(441\) | −3.63508 | + | 3.72993i | −0.173099 | + | 0.177616i | ||||
\(442\) | 0.412263 | − | 2.33806i | 0.0196093 | − | 0.111210i | ||||
\(443\) | −0.712965 | − | 12.2411i | −0.0338740 | − | 0.581594i | −0.971953 | − | 0.235173i | \(-0.924434\pi\) |
0.938079 | − | 0.346420i | \(-0.112603\pi\) | |||||||
\(444\) | 18.3137 | + | 4.49751i | 0.869129 | + | 0.213442i | ||||
\(445\) | 10.0022 | + | 13.4353i | 0.474149 | + | 0.636892i | ||||
\(446\) | −19.7074 | − | 26.4716i | −0.933172 | − | 1.25347i | ||||
\(447\) | −9.96688 | + | 10.3942i | −0.471417 | + | 0.491628i | ||||
\(448\) | 2.22061 | + | 38.1264i | 0.104914 | + | 1.80130i | ||||
\(449\) | −1.20505 | + | 6.83416i | −0.0568697 | + | 0.322524i | −0.999950 | − | 0.0100422i | \(-0.996803\pi\) |
0.943080 | + | 0.332566i | \(0.107915\pi\) | |||||||
\(450\) | −14.3165 | − | 19.8957i | −0.674885 | − | 0.937894i | ||||
\(451\) | 9.42460 | + | 53.4496i | 0.443787 | + | 2.51684i | ||||
\(452\) | −32.5361 | + | 7.71119i | −1.53037 | + | 0.362704i | ||||
\(453\) | −20.7397 | − | 22.3429i | −0.974438 | − | 1.04976i | ||||
\(454\) | −1.73890 | + | 29.8558i | −0.0816107 | + | 1.40120i | ||||
\(455\) | 6.22867 | + | 1.47622i | 0.292005 | + | 0.0692064i | ||||
\(456\) | 19.8791 | + | 0.161139i | 0.930925 | + | 0.00754604i | ||||
\(457\) | −29.6629 | − | 3.46709i | −1.38757 | − | 0.162184i | −0.610709 | − | 0.791855i | \(-0.709116\pi\) |
−0.776862 | + | 0.629671i | \(0.783190\pi\) | |||||||
\(458\) | −3.62196 | + | 6.27342i | −0.169243 | + | 0.293138i | ||||
\(459\) | −1.49133 | + | 7.40065i | −0.0696093 | + | 0.345433i | ||||
\(460\) | −1.95177 | − | 3.38056i | −0.0910017 | − | 0.157620i | ||||
\(461\) | 0.324961 | + | 0.753345i | 0.0151350 | + | 0.0350868i | 0.925616 | − | 0.378464i | \(-0.123548\pi\) |
−0.910481 | + | 0.413551i | \(0.864288\pi\) | |||||||
\(462\) | −45.9412 | − | 39.1882i | −2.13738 | − | 1.82320i | ||||
\(463\) | 19.6398 | − | 20.8169i | 0.912738 | − | 0.967445i | −0.0868483 | − | 0.996222i | \(-0.527680\pi\) |
0.999586 | + | 0.0287763i | \(0.00916103\pi\) | |||||||
\(464\) | −3.93548 | + | 1.97647i | −0.182700 | + | 0.0917555i | ||||
\(465\) | −2.20600 | − | 5.23025i | −0.102301 | − | 0.242547i | ||||
\(466\) | −5.27333 | + | 17.6141i | −0.244282 | + | 0.815960i | ||||
\(467\) | 9.57011 | − | 8.03027i | 0.442852 | − | 0.371597i | −0.393924 | − | 0.919143i | \(-0.628883\pi\) |
0.836775 | + | 0.547546i | \(0.184438\pi\) | |||||||
\(468\) | 4.37222 | + | 4.78744i | 0.202106 | + | 0.221300i | ||||
\(469\) | 25.6227 | + | 21.5000i | 1.18315 | + | 0.992779i | ||||
\(470\) | −30.2056 | + | 19.8665i | −1.39328 | + | 0.916375i | ||||
\(471\) | 2.20441 | + | 3.01170i | 0.101574 | + | 0.138772i | ||||
\(472\) | 14.8587 | − | 1.73674i | 0.683929 | − | 0.0799398i | ||||
\(473\) | 16.6721 | − | 38.6502i | 0.766582 | − | 1.77714i | ||||
\(474\) | −0.724779 | + | 10.9185i | −0.0332902 | + | 0.501505i | ||||
\(475\) | 18.0615 | + | 9.07084i | 0.828720 | + | 0.416199i | ||||
\(476\) | −11.8612 | + | 4.31712i | −0.543656 | + | 0.197875i | ||||
\(477\) | −10.3785 | + | 3.58803i | −0.475199 | + | 0.164284i | ||||
\(478\) | 27.2809 | + | 9.92943i | 1.24780 | + | 0.454161i | ||||
\(479\) | −3.11272 | − | 3.29929i | −0.142224 | − | 0.150749i | 0.652346 | − | 0.757922i | \(-0.273785\pi\) |
−0.794570 | + | 0.607173i | \(0.792304\pi\) | |||||||
\(480\) | −29.6907 | + | 19.1849i | −1.35519 | + | 0.875667i | ||||
\(481\) | −2.27539 | − | 1.49655i | −0.103749 | − | 0.0682368i | ||||
\(482\) | −0.403326 | − | 1.34720i | −0.0183710 | − | 0.0613634i | ||||
\(483\) | −2.16246 | − | 0.806979i | −0.0983951 | − | 0.0367188i | ||||
\(484\) | 30.1330 | − | 40.4757i | 1.36968 | − | 1.83980i | ||||
\(485\) | 20.7648 | 0.942881 | ||||||||
\(486\) | −22.7342 | − | 26.1423i | −1.03124 | − | 1.18584i | ||||
\(487\) | −28.2887 | −1.28188 | −0.640941 | − | 0.767590i | \(-0.721456\pi\) | ||||
−0.640941 | + | 0.767590i | \(0.721456\pi\) | |||||||
\(488\) | −5.42928 | + | 7.29279i | −0.245772 | + | 0.330129i | ||||
\(489\) | 15.3770 | + | 5.73834i | 0.695371 | + | 0.259497i | ||||
\(490\) | −3.25956 | − | 10.8877i | −0.147252 | − | 0.491856i | ||||
\(491\) | 16.3623 | + | 10.7617i | 0.738421 | + | 0.485667i | 0.862153 | − | 0.506649i | \(-0.169116\pi\) |
−0.123732 | + | 0.992316i | \(0.539486\pi\) | |||||||
\(492\) | −43.7289 | + | 28.2558i | −1.97145 | + | 1.27387i | ||||
\(493\) | −3.54413 | − | 3.75656i | −0.159620 | − | 0.169187i | ||||
\(494\) | −8.44198 | − | 3.07263i | −0.379823 | − | 0.138244i | ||||
\(495\) | 8.89151 | − | 46.0481i | 0.399644 | − | 2.06971i | ||||
\(496\) | −1.29531 | + | 0.471453i | −0.0581609 | + | 0.0211688i | ||||
\(497\) | 35.5310 | + | 17.8443i | 1.59378 | + | 0.800427i | ||||
\(498\) | −0.0897086 | + | 1.35143i | −0.00401994 | + | 0.0605589i | ||||
\(499\) | −11.7236 | + | 27.1785i | −0.524823 | + | 1.21668i | 0.425372 | + | 0.905019i | \(0.360143\pi\) |
−0.950195 | + | 0.311657i | \(0.899116\pi\) | |||||||
\(500\) | −11.3833 | + | 1.33051i | −0.509075 | + | 0.0595023i | ||||
\(501\) | 3.90950 | + | 5.34122i | 0.174664 | + | 0.238628i | ||||
\(502\) | −25.6851 | + | 16.8933i | −1.14638 | + | 0.753986i | ||||
\(503\) | −18.2284 | − | 15.2955i | −0.812765 | − | 0.681991i | 0.138501 | − | 0.990362i | \(-0.455772\pi\) |
−0.951266 | + | 0.308371i | \(0.900216\pi\) | |||||||
\(504\) | 5.59598 | − | 17.6455i | 0.249265 | − | 0.785995i | ||||
\(505\) | −23.9447 | + | 20.0920i | −1.06553 | + | 0.894082i | ||||
\(506\) | 1.52521 | − | 5.09457i | 0.0678041 | − | 0.226481i | ||||
\(507\) | 8.38663 | + | 19.8840i | 0.372463 | + | 0.883081i | ||||
\(508\) | 34.2666 | − | 17.2093i | 1.52033 | − | 0.763541i | ||||
\(509\) | 8.53666 | − | 9.04834i | 0.378381 | − | 0.401060i | −0.509995 | − | 0.860178i | \(-0.670353\pi\) |
0.888376 | + | 0.459117i | \(0.151834\pi\) | |||||||
\(510\) | −12.5334 | − | 10.6911i | −0.554990 | − | 0.473410i | ||||
\(511\) | −4.64664 | − | 10.7721i | −0.205555 | − | 0.476531i | ||||
\(512\) | 6.87849 | + | 11.9139i | 0.303989 | + | 0.526525i | ||||
\(513\) | 26.5989 | + | 10.4204i | 1.17437 | + | 0.460072i | ||||
\(514\) | 29.1206 | − | 50.4383i | 1.28445 | − | 2.22474i | ||||
\(515\) | −52.1387 | − | 6.09414i | −2.29751 | − | 0.268540i | ||||
\(516\) | 40.3769 | + | 0.327293i | 1.77749 | + | 0.0144083i | ||||
\(517\) | −28.5201 | − | 6.75938i | −1.25431 | − | 0.297277i | ||||
\(518\) | −1.41477 | + | 24.2906i | −0.0621612 | + | 1.06727i | ||||
\(519\) | 9.85900 | + | 10.6211i | 0.432762 | + | 0.466214i | ||||
\(520\) | −4.39948 | + | 1.04270i | −0.192930 | + | 0.0457253i | ||||
\(521\) | −6.26330 | − | 35.5209i | −0.274400 | − | 1.55620i | −0.740861 | − | 0.671659i | \(-0.765582\pi\) |
0.466461 | − | 0.884542i | \(-0.345529\pi\) | |||||||
\(522\) | 23.5818 | − | 2.36949i | 1.03215 | − | 0.103710i | ||||
\(523\) | −3.40284 | + | 19.2985i | −0.148796 | + | 0.843864i | 0.815445 | + | 0.578835i | \(0.196493\pi\) |
−0.964241 | + | 0.265029i | \(0.914619\pi\) | |||||||
\(524\) | −1.36858 | − | 23.4976i | −0.0597867 | − | 1.02650i | ||||
\(525\) | 13.0259 | − | 13.5843i | 0.568496 | − | 0.592868i | ||||
\(526\) | −1.88797 | − | 2.53598i | −0.0823194 | − | 0.110574i | ||||
\(527\) | −0.965317 | − | 1.29665i | −0.0420499 | − | 0.0564828i | ||||
\(528\) | −11.0600 | − | 2.71613i | −0.481324 | − | 0.118204i | ||||
\(529\) | 1.32551 | + | 22.7582i | 0.0576309 | + | 0.989485i | ||||
\(530\) | 4.16104 | − | 23.5984i | 0.180744 | − | 1.02505i | ||||
\(531\) | 20.8348 | + | 5.29608i | 0.904152 | + | 0.229830i | ||||
\(532\) | 8.29406 | + | 47.0379i | 0.359593 | + | 2.03935i | ||||
\(533\) | 7.31628 | − | 1.73399i | 0.316903 | − | 0.0751075i | ||||
\(534\) | −21.3396 | + | 4.87523i | −0.923454 | + | 0.210972i | ||||
\(535\) | −0.00853420 | + | 0.146527i | −0.000368966 | + | 0.00633489i | ||||
\(536\) | −22.9885 | − | 5.44837i | −0.992951 | − | 0.235334i | ||||
\(537\) | 4.67972 | + | 8.25941i | 0.201945 | + | 0.356420i | ||||
\(538\) | 12.0668 | + | 1.41040i | 0.520235 | + | 0.0608068i | ||||
\(539\) | 4.60697 | − | 7.97951i | 0.198436 | − | 0.343702i | ||||
\(540\) | 44.0151 | − | 9.30757i | 1.89411 | − | 0.400534i | ||||
\(541\) | 9.81665 | + | 17.0029i | 0.422051 | + | 0.731013i | 0.996140 | − | 0.0877794i | \(-0.0279771\pi\) |
−0.574089 | + | 0.818793i | \(0.694644\pi\) | |||||||
\(542\) | −27.0537 | − | 62.7176i | −1.16206 | − | 2.69395i | ||||
\(543\) | 35.7908 | − | 12.6992i | 1.53593 | − | 0.544975i | ||||
\(544\) | −6.90822 | + | 7.32228i | −0.296187 | + | 0.313940i | ||||
\(545\) | 1.06616 | − | 0.535447i | 0.0456694 | − | 0.0229360i | ||||
\(546\) | −5.04975 | + | 6.66944i | −0.216109 | + | 0.285426i | ||||
\(547\) | 8.77306 | − | 29.3041i | 0.375109 | − | 1.25295i | −0.537202 | − | 0.843453i | \(-0.680519\pi\) |
0.912311 | − | 0.409497i | \(-0.134296\pi\) | |||||||
\(548\) | −23.2384 | + | 19.4993i | −0.992695 | + | 0.832970i | ||||
\(549\) | −11.0306 | + | 7.00144i | −0.470774 | + | 0.298814i | ||||
\(550\) | 33.2178 | + | 27.8730i | 1.41641 | + | 1.18851i | ||||
\(551\) | −16.3278 | + | 10.7390i | −0.695588 | + | 0.457495i | ||||
\(552\) | 1.62075 | − | 0.176134i | 0.0689836 | − | 0.00749674i | ||||
\(553\) | −8.34517 | + | 0.975411i | −0.354873 | + | 0.0414787i | ||||
\(554\) | −4.01014 | + | 9.29654i | −0.170374 | + | 0.394972i | ||||
\(555\) | −16.9557 | + | 8.34407i | −0.719730 | + | 0.354186i | ||||
\(556\) | −45.8464 | − | 23.0249i | −1.94432 | − | 0.976474i | ||||
\(557\) | 31.4323 | − | 11.4404i | 1.33183 | − | 0.484746i | 0.424599 | − | 0.905382i | \(-0.360415\pi\) |
0.907230 | + | 0.420636i | \(0.138193\pi\) | |||||||
\(558\) | 7.41733 | + | 0.120257i | 0.314001 | + | 0.00509089i | ||||
\(559\) | −5.47970 | − | 1.99445i | −0.231767 | − | 0.0843562i | ||||
\(560\) | −7.40185 | − | 7.84550i | −0.312785 | − | 0.331533i | ||||
\(561\) | −0.668462 | − | 13.3389i | −0.0282225 | − | 0.563169i | ||||
\(562\) | 33.9314 | + | 22.3171i | 1.43131 | + | 0.941388i | ||||
\(563\) | −0.0602063 | − | 0.201103i | −0.00253739 | − | 0.00847548i | 0.956711 | − | 0.291038i | \(-0.0940007\pi\) |
−0.959249 | + | 0.282563i | \(0.908815\pi\) | |||||||
\(564\) | −4.65774 | − | 27.7278i | −0.196126 | − | 1.16755i | ||||
\(565\) | 20.0095 | − | 26.8775i | 0.841808 | − | 1.13074i | ||||
\(566\) | 52.6415 | 2.21269 | ||||||||
\(567\) | 16.5685 | − | 20.8113i | 0.695811 | − | 0.873991i | ||||
\(568\) | −28.0837 | −1.17836 | ||||||||
\(569\) | −24.4396 | + | 32.8281i | −1.02456 | + | 1.37623i | −0.100089 | + | 0.994978i | \(0.531913\pi\) |
−0.924473 | + | 0.381248i | \(0.875495\pi\) | |||||||
\(570\) | −48.0765 | + | 39.6813i | −2.01370 | + | 1.66207i | ||||
\(571\) | −8.06199 | − | 26.9289i | −0.337384 | − | 1.12694i | −0.943447 | − | 0.331523i | \(-0.892437\pi\) |
0.606063 | − | 0.795416i | \(-0.292748\pi\) | |||||||
\(572\) | −9.58300 | − | 6.30284i | −0.400685 | − | 0.263535i | ||||
\(573\) | 19.6419 | + | 10.0647i | 0.820554 | + | 0.420461i | ||||
\(574\) | −46.0990 | − | 48.8621i | −1.92413 | − | 2.03946i | ||||
\(575\) | 1.55752 | + | 0.566892i | 0.0649532 | + | 0.0236410i | ||||
\(576\) | −6.11149 | − | 38.2788i | −0.254646 | − | 1.59495i | ||||
\(577\) | −12.8095 | + | 4.66227i | −0.533266 | + | 0.194093i | −0.594596 | − | 0.804025i | \(-0.702688\pi\) |
0.0613301 | + | 0.998118i | \(0.480466\pi\) | |||||||
\(578\) | 29.5708 | + | 14.8510i | 1.22998 | + | 0.617721i | ||||
\(579\) | 29.2659 | + | 19.5901i | 1.21625 | + | 0.814138i | ||||
\(580\) | −12.1900 | + | 28.2595i | −0.506161 | + | 1.17341i | ||||
\(581\) | −1.03291 | + | 0.120730i | −0.0428524 | + | 0.00500873i | ||||
\(582\) | −10.9499 | + | 24.8294i | −0.453888 | + | 1.02921i | ||||
\(583\) | 16.2309 | − | 10.6752i | 0.672214 | − | 0.442122i | ||||
\(584\) | 6.34770 | + | 5.32636i | 0.262670 | + | 0.220406i | ||||
\(585\) | −6.44018 | − | 0.858791i | −0.266269 | − | 0.0355066i | ||||
\(586\) | 8.11761 | − | 6.81149i | 0.335336 | − | 0.281380i | ||||
\(587\) | −8.05995 | + | 26.9221i | −0.332670 | + | 1.11119i | 0.614086 | + | 0.789239i | \(0.289525\pi\) |
−0.946755 | + | 0.321954i | \(0.895660\pi\) | |||||||
\(588\) | 8.77028 | + | 1.09723i | 0.361680 | + | 0.0452490i | ||||
\(589\) | −5.46631 | + | 2.74528i | −0.225235 | + | 0.113117i | ||||
\(590\) | −32.1916 | + | 34.1211i | −1.32531 | + | 1.40474i | ||||
\(591\) | 1.26266 | − | 6.83639i | 0.0519389 | − | 0.281212i | ||||
\(592\) | 1.81761 | + | 4.21369i | 0.0747032 | + | 0.173181i | ||||
\(593\) | −2.12487 | − | 3.68039i | −0.0872581 | − | 0.151135i | 0.819093 | − | 0.573661i | \(-0.194477\pi\) |
−0.906351 | + | 0.422525i | \(0.861144\pi\) | |||||||
\(594\) | 50.3730 | + | 34.9145i | 2.06683 | + | 1.43256i | ||||
\(595\) | 6.32451 | − | 10.9544i | 0.259280 | − | 0.449086i | ||||
\(596\) | 24.2731 | + | 2.83712i | 0.994266 | + | 0.116213i | ||||
\(597\) | 3.37718 | − | 5.74146i | 0.138219 | − | 0.234982i | ||||
\(598\) | −0.716877 | − | 0.169903i | −0.0293153 | − | 0.00694785i | ||||
\(599\) | −1.23410 | + | 21.1887i | −0.0504239 | + | 0.865746i | 0.874366 | + | 0.485267i | \(0.161278\pi\) |
−0.924790 | + | 0.380478i | \(0.875759\pi\) | |||||||
\(600\) | −3.91568 | + | 12.7036i | −0.159857 | + | 0.518621i | ||||
\(601\) | −37.9901 | + | 9.00383i | −1.54965 | + | 0.367274i | −0.914328 | − | 0.404974i | \(-0.867281\pi\) |
−0.635322 | + | 0.772247i | \(0.719133\pi\) | |||||||
\(602\) | 9.04687 | + | 51.3073i | 0.368723 | + | 2.09113i | ||||
\(603\) | −28.0583 | − | 19.1129i | −1.14262 | − | 0.778339i | ||||
\(604\) | −8.98358 | + | 50.9484i | −0.365537 | + | 2.07306i | ||||
\(605\) | 2.94021 | + | 50.4815i | 0.119537 | + | 2.05237i | ||||
\(606\) | −11.3981 | − | 39.2269i | −0.463017 | − | 1.59348i | ||||
\(607\) | 26.6915 | + | 35.8529i | 1.08337 | + | 1.45522i | 0.879299 | + | 0.476270i | \(0.158011\pi\) |
0.204076 | + | 0.978955i | \(0.434581\pi\) | |||||||
\(608\) | 22.7475 | + | 30.5552i | 0.922532 | + | 1.23918i | ||||
\(609\) | 5.07773 | + | 17.4751i | 0.205760 | + | 0.708127i | ||||
\(610\) | −1.65768 | − | 28.4613i | −0.0671176 | − | 1.15236i | ||||
\(611\) | −0.705103 | + | 3.99884i | −0.0285254 | + | 0.161776i | ||||
\(612\) | 11.5406 | − | 5.56350i | 0.466501 | − | 0.224891i | ||||
\(613\) | −7.96425 | − | 45.1675i | −0.321673 | − | 1.82430i | −0.532091 | − | 0.846687i | \(-0.678594\pi\) |
0.210418 | − | 0.977611i | \(-0.432517\pi\) | |||||||
\(614\) | 23.3372 | − | 5.53101i | 0.941812 | − | 0.223213i | ||||
\(615\) | 15.3681 | − | 49.8585i | 0.619702 | − | 2.01049i | ||||
\(616\) | −1.90417 | + | 32.6934i | −0.0767214 | + | 1.31725i | ||||
\(617\) | −21.1271 | − | 5.00721i | −0.850544 | − | 0.201583i | −0.217848 | − | 0.975983i | \(-0.569904\pi\) |
−0.632696 | + | 0.774400i | \(0.718052\pi\) | |||||||
\(618\) | 34.7814 | − | 59.1310i | 1.39911 | − | 2.37860i | ||||
\(619\) | 29.2625 | + | 3.42030i | 1.17616 | + | 0.137473i | 0.681636 | − | 0.731691i | \(-0.261269\pi\) |
0.494523 | + | 0.869164i | \(0.335343\pi\) | |||||||
\(620\) | −4.81657 | + | 8.34254i | −0.193438 | + | 0.335044i | ||||
\(621\) | 2.26577 | + | 0.595538i | 0.0909221 | + | 0.0238981i | ||||
\(622\) | 10.7583 | + | 18.6339i | 0.431368 | + | 0.747151i | ||||
\(623\) | −6.65701 | − | 15.4327i | −0.266708 | − | 0.618297i | ||||
\(624\) | −0.286557 | + | 1.55150i | −0.0114715 | + | 0.0621097i | ||||
\(625\) | 20.4955 | − | 21.7240i | 0.819821 | − | 0.868960i | ||||
\(626\) | 12.6852 | − | 6.37076i | 0.507003 | − | 0.254627i | ||||
\(627\) | −50.1472 | − | 6.27380i | −2.00269 | − | 0.250552i | ||||
\(628\) | 1.81655 | − | 6.06770i | 0.0724882 | − | 0.242127i | ||||
\(629\) | −4.12254 | + | 3.45922i | −0.164376 | + | 0.137928i | ||||
\(630\) | 22.1243 | + | 53.6657i | 0.881453 | + | 2.13809i | ||||
\(631\) | −23.1628 | − | 19.4359i | −0.922098 | − | 0.773732i | 0.0522840 | − | 0.998632i | \(-0.483350\pi\) |
−0.974382 | + | 0.224900i | \(0.927794\pi\) | |||||||
\(632\) | 4.95824 | − | 3.26109i | 0.197228 | − | 0.129719i | ||||
\(633\) | −4.98183 | + | 11.2965i | −0.198010 | + | 0.448996i | ||||
\(634\) | −45.4977 | + | 5.31791i | −1.80694 | + | 0.211201i | ||||
\(635\) | −15.2198 | + | 35.2835i | −0.603980 | + | 1.40018i | ||||
\(636\) | 15.4863 | + | 10.3663i | 0.614070 | + | 0.411049i | ||||
\(637\) | −1.14069 | − | 0.572878i | −0.0451960 | − | 0.0226983i | ||||
\(638\) | −39.3998 | + | 14.3404i | −1.55985 | + | 0.567741i | ||||
\(639\) | −37.6937 | − | 14.4156i | −1.49114 | − | 0.570272i | ||||
\(640\) | 41.1293 | + | 14.9699i | 1.62578 | + | 0.591735i | ||||
\(641\) | 0.420317 | + | 0.445510i | 0.0166015 | + | 0.0175966i | 0.735621 | − | 0.677393i | \(-0.236890\pi\) |
−0.719020 | + | 0.694990i | \(0.755409\pi\) | |||||||
\(642\) | −0.170708 | − | 0.0874726i | −0.00673730 | − | 0.00345227i | ||||
\(643\) | −15.5963 | − | 10.2578i | −0.615056 | − | 0.404529i | 0.203402 | − | 0.979095i | \(-0.434800\pi\) |
−0.818458 | + | 0.574566i | \(0.805171\pi\) | |||||||
\(644\) | 1.12340 | + | 3.75242i | 0.0442681 | + | 0.147866i | ||||
\(645\) | −31.2065 | + | 25.7572i | −1.22876 | + | 1.01419i | ||||
\(646\) | −10.6009 | + | 14.2395i | −0.417087 | + | 0.560245i | ||||
\(647\) | −44.8197 | −1.76204 | −0.881022 | − | 0.473075i | \(-0.843144\pi\) | ||||
−0.881022 | + | 0.473075i | \(0.843144\pi\) | |||||||
\(648\) | −3.86083 | + | 18.3882i | −0.151668 | + | 0.722357i | ||||
\(649\) | −38.0309 | −1.49284 | ||||||||
\(650\) | 3.58733 | − | 4.81862i | 0.140707 | − | 0.189002i | ||||
\(651\) | 0.943594 | + | 5.61727i | 0.0369824 | + | 0.220158i | ||||
\(652\) | −7.98837 | − | 26.6830i | −0.312849 | − | 1.04499i | ||||
\(653\) | −41.3488 | − | 27.1956i | −1.61810 | − | 1.06424i | −0.946188 | − | 0.323618i | \(-0.895101\pi\) |
−0.671917 | − | 0.740626i | \(-0.734529\pi\) | |||||||
\(654\) | 0.0780379 | + | 1.55721i | 0.00305152 | + | 0.0608919i | ||||
\(655\) | 16.1864 | + | 17.1566i | 0.632456 | + | 0.670365i | ||||
\(656\) | −11.9054 | − | 4.33321i | −0.464828 | − | 0.169183i | ||||
\(657\) | 5.78578 | + | 10.4073i | 0.225725 | + | 0.406029i | ||||
\(658\) | 34.0898 | − | 12.4077i | 1.32896 | − | 0.483702i | ||||
\(659\) | 10.1695 | + | 5.10730i | 0.396146 | + | 0.198952i | 0.635709 | − | 0.771929i | \(-0.280708\pi\) |
−0.239563 | + | 0.970881i | \(0.577004\pi\) | |||||||
\(660\) | −71.4103 | + | 35.1417i | −2.77964 | + | 1.36789i | ||||
\(661\) | 1.04678 | − | 2.42670i | 0.0407149 | − | 0.0943878i | −0.896645 | − | 0.442750i | \(-0.854003\pi\) |
0.937360 | + | 0.348362i | \(0.113262\pi\) | |||||||
\(662\) | 44.8057 | − | 5.23703i | 1.74142 | − | 0.203543i | ||||
\(663\) | −1.83942 | + | 0.199897i | −0.0714370 | + | 0.00776337i | ||||
\(664\) | 0.613700 | − | 0.403637i | 0.0238162 | − | 0.0156642i | ||||
\(665\) | −36.6662 | − | 30.7666i | −1.42185 | − | 1.19308i | ||||
\(666\) | −1.03611 | − | 24.6748i | −0.0401485 | − | 0.956128i | ||||
\(667\) | −1.22771 | + | 1.03017i | −0.0475370 | + | 0.0398883i | ||||
\(668\) | 3.22163 | − | 10.7610i | 0.124649 | − | 0.416356i | ||||
\(669\) | −15.5254 | + | 20.5051i | −0.600248 | + | 0.792775i | ||||
\(670\) | 66.2024 | − | 33.2481i | 2.55762 | − | 1.28449i | ||||
\(671\) | 15.8612 | − | 16.8119i | 0.612317 | − | 0.649018i | ||||
\(672\) | 33.4293 | − | 11.8613i | 1.28956 | − | 0.457560i | ||||
\(673\) | −0.928417 | − | 2.15231i | −0.0357878 | − | 0.0829655i | 0.899385 | − | 0.437158i | \(-0.144015\pi\) |
−0.935172 | + | 0.354193i | \(0.884756\pi\) | |||||||
\(674\) | −4.06301 | − | 7.03734i | −0.156501 | − | 0.271068i | ||||
\(675\) | −11.7764 | + | 15.0407i | −0.453275 | + | 0.578917i | ||||
\(676\) | 18.3113 | − | 31.7161i | 0.704281 | − | 1.21985i | ||||
\(677\) | −9.27787 | − | 1.08443i | −0.356578 | − | 0.0416779i | −0.0640815 | − | 0.997945i | \(-0.520412\pi\) |
−0.292496 | + | 0.956267i | \(0.594486\pi\) | |||||||
\(678\) | 21.5869 | + | 38.0996i | 0.829042 | + | 1.46321i | ||||
\(679\) | −20.2746 | − | 4.80517i | −0.778068 | − | 0.184405i | ||||
\(680\) | −0.519486 | + | 8.91924i | −0.0199214 | + | 0.342037i | ||||
\(681\) | 22.7217 | − | 5.19100i | 0.870699 | − | 0.198919i | ||||
\(682\) | −12.7699 | + | 3.02653i | −0.488986 | + | 0.115892i | ||||
\(683\) | −5.08900 | − | 28.8612i | −0.194725 | − | 1.10434i | −0.912809 | − | 0.408386i | \(-0.866092\pi\) |
0.718084 | − | 0.695956i | \(-0.245019\pi\) | |||||||
\(684\) | −13.1494 | − | 46.6623i | −0.502780 | − | 1.78418i | ||||
\(685\) | 5.27883 | − | 29.9377i | 0.201694 | − | 1.14386i | ||||
\(686\) | −2.01054 | − | 34.5197i | −0.0767628 | − | 1.31797i | ||||
\(687\) | 5.48255 | + | 1.34642i | 0.209172 | + | 0.0513690i | ||||
\(688\) | 5.86761 | + | 7.88157i | 0.223701 | + | 0.300482i | ||||
\(689\) | −1.60715 | − | 2.15878i | −0.0612275 | − | 0.0822428i | ||||
\(690\) | −3.53818 | + | 3.68987i | −0.134696 | + | 0.140471i | ||||
\(691\) | 0.791645 | + | 13.5920i | 0.0301156 | + | 0.517065i | 0.979309 | + | 0.202371i | \(0.0648648\pi\) |
−0.949193 | + | 0.314694i | \(0.898098\pi\) | |||||||
\(692\) | 4.27050 | − | 24.2192i | 0.162340 | − | 0.920677i | ||||
\(693\) | −19.3376 | + | 42.9034i | −0.734573 | + | 1.62977i | ||||
\(694\) | −11.2522 | − | 63.8142i | −0.427126 | − | 2.42235i | ||||
\(695\) | 50.0258 | − | 11.8563i | 1.89759 | − | 0.449736i | ||||
\(696\) | −8.74464 | − | 9.42060i | −0.331465 | − | 0.357087i | ||||
\(697\) | 0.863899 | − | 14.8326i | 0.0327225 | − | 0.561824i | ||||
\(698\) | −36.6165 | − | 8.67827i | −1.38595 | − | 0.328477i | ||||
\(699\) | 14.3289 | + | 0.116149i | 0.541968 | + | 0.00439317i | ||||
\(700\) | −31.7229 | − | 3.70788i | −1.19901 | − | 0.140145i | ||||
\(701\) | 20.8102 | − | 36.0443i | 0.785989 | − | 1.36137i | −0.142418 | − | 0.989807i | \(-0.545488\pi\) |
0.928407 | − | 0.371566i | \(-0.121179\pi\) | |||||||
\(702\) | 4.42300 | − | 7.24794i | 0.166935 | − | 0.273556i | ||||
\(703\) | 10.1821 | + | 17.6358i | 0.384024 | + | 0.665149i | ||||
\(704\) | 27.1617 | + | 62.9680i | 1.02370 | + | 2.37319i | ||||
\(705\) | 21.4362 | + | 18.2853i | 0.807335 | + | 0.688663i | ||||
\(706\) | −34.6948 | + | 36.7743i | −1.30576 | + | 1.38402i | ||||
\(707\) | 28.0289 | − | 14.0767i | 1.05414 | − | 0.529407i | ||||
\(708\) | −14.1777 | − | 33.6142i | −0.532831 | − | 1.26330i | ||||
\(709\) | 3.31071 | − | 11.0585i | 0.124336 | − | 0.415312i | −0.873045 | − | 0.487640i | \(-0.837858\pi\) |
0.997381 | + | 0.0723284i | \(0.0230430\pi\) | |||||||
\(710\) | 67.4598 | − | 56.6055i | 2.53172 | − | 2.12437i | ||||
\(711\) | 8.32886 | − | 1.83190i | 0.312357 | − | 0.0687017i | ||||
\(712\) | 9.09403 | + | 7.63080i | 0.340813 | + | 0.285976i | ||||
\(713\) | −0.419110 | + | 0.275653i | −0.0156958 | + | 0.0103233i | ||||
\(714\) | 9.76353 | + | 13.3391i | 0.365391 | + | 0.499202i | ||||
\(715\) | 11.4164 | − | 1.33439i | 0.426950 | − | 0.0499033i | ||||
\(716\) | 6.38086 | − | 14.7925i | 0.238464 | − | 0.552821i | ||||
\(717\) | 1.49860 | − | 22.5758i | 0.0559661 | − | 0.843109i | ||||
\(718\) | 30.4173 | + | 15.2761i | 1.13516 | + | 0.570100i | ||||
\(719\) | 29.9388 | − | 10.8968i | 1.11653 | − | 0.406383i | 0.283143 | − | 0.959078i | \(-0.408623\pi\) |
0.833384 | + | 0.552695i | \(0.186401\pi\) | |||||||
\(720\) | 8.27130 | + | 7.17212i | 0.308253 | + | 0.267289i | ||||
\(721\) | 49.4976 | + | 18.0157i | 1.84339 | + | 0.670939i | ||||
\(722\) | 17.1205 | + | 18.1466i | 0.637157 | + | 0.675347i | ||||
\(723\) | −0.920520 | + | 0.594803i | −0.0342345 | + | 0.0221209i | ||||
\(724\) | −53.8458 | − | 35.4149i | −2.00116 | − | 1.31619i | ||||
\(725\) | −3.74796 | − | 12.5190i | −0.139196 | − | 0.464946i | ||||
\(726\) | −61.9135 | − | 23.1047i | −2.29782 | − | 0.857496i | ||||
\(727\) | −18.0298 | + | 24.2183i | −0.668690 | + | 0.898206i | −0.998956 | − | 0.0456817i | \(-0.985454\pi\) |
0.330266 | + | 0.943888i | \(0.392861\pi\) | |||||||
\(728\) | 4.53691 | 0.168149 | ||||||||
\(729\) | −14.6208 | + | 22.6987i | −0.541511 | + | 0.840694i | ||||
\(730\) | −25.9836 | −0.961698 | ||||||||
\(731\) | −6.88106 | + | 9.24287i | −0.254505 | + | 0.341860i | ||||
\(732\) | 20.7725 | + | 7.75183i | 0.767774 | + | 0.286516i | ||||
\(733\) | 4.58780 | + | 15.3243i | 0.169454 | + | 0.566017i | 0.999959 | + | 0.00900594i | \(0.00286672\pi\) |
−0.830505 | + | 0.557011i | \(0.811948\pi\) | |||||||
\(734\) | 26.0643 | + | 17.1428i | 0.962051 | + | 0.632751i | ||||
\(735\) | −7.43936 | + | 4.80702i | −0.274405 | + | 0.177309i | ||||
\(736\) | 2.14375 | + | 2.27224i | 0.0790196 | + | 0.0837559i | ||||
\(737\) | 56.4379 | + | 20.5417i | 2.07892 | + | 0.756664i | ||||
\(738\) | 51.5140 | + | 44.6682i | 1.89625 | + | 1.64426i | ||||
\(739\) | 13.9238 | − | 5.06784i | 0.512194 | − | 0.186423i | −0.0729763 | − | 0.997334i | \(-0.523250\pi\) |
0.585171 | + | 0.810910i | \(0.301028\pi\) | |||||||
\(740\) | 28.6588 | + | 14.3930i | 1.05352 | + | 0.529096i | ||||
\(741\) | −0.463736 | + | 6.98601i | −0.0170358 | + | 0.256638i | ||||
\(742\) | −9.52370 | + | 22.0784i | −0.349626 | + | 0.810524i | ||||
\(743\) | 1.03225 | − | 0.120653i | 0.0378695 | − | 0.00442631i | −0.0971371 | − | 0.995271i | \(-0.530969\pi\) |
0.135007 | + | 0.990845i | \(0.456894\pi\) | |||||||
\(744\) | −2.37626 | − | 3.24649i | −0.0871181 | − | 0.119022i | ||||
\(745\) | −20.4610 | + | 13.4574i | −0.749634 | + | 0.493042i | ||||
\(746\) | 46.3874 | + | 38.9236i | 1.69836 | + | 1.42510i | ||||
\(747\) | 1.03089 | − | 0.226741i | 0.0377185 | − | 0.00829603i | ||||
\(748\) | −17.3624 | + | 14.5688i | −0.634832 | + | 0.532688i | ||||
\(749\) | 0.0422403 | − | 0.141093i | 0.00154343 | − | 0.00515541i | ||||
\(750\) | 5.83293 | + | 13.8294i | 0.212988 | + | 0.504978i | ||||
\(751\) | −29.5011 | + | 14.8160i | −1.07651 | + | 0.540643i | −0.896510 | − | 0.443024i | \(-0.853906\pi\) |
−0.179999 | + | 0.983667i | \(0.557609\pi\) | |||||||
\(752\) | 4.69527 | − | 4.97669i | 0.171219 | − | 0.181481i | ||||
\(753\) | 18.2281 | + | 15.5487i | 0.664269 | + | 0.566626i | ||||
\(754\) | 2.30068 | + | 5.33357i | 0.0837858 | + | 0.194237i | ||||
\(755\) | −25.9217 | − | 44.8978i | −0.943389 | − | 1.63400i | ||||
\(756\) | −45.1299 | − | 1.09765i | −1.64136 | − | 0.0399213i | ||||
\(757\) | 16.5939 | − | 28.7414i | 0.603114 | − | 1.04462i | −0.389232 | − | 0.921140i | \(-0.627260\pi\) |
0.992346 | − | 0.123485i | \(-0.0394070\pi\) | |||||||
\(758\) | 18.9774 | + | 2.21814i | 0.689292 | + | 0.0805667i | ||||
\(759\) | −4.14437 | − | 0.0335941i | −0.150431 | − | 0.00121939i | ||||
\(760\) | 32.8966 | + | 7.79663i | 1.19328 | + | 0.282814i | ||||
\(761\) | −2.17243 | + | 37.2992i | −0.0787505 | + | 1.35209i | 0.695185 | + | 0.718831i | \(0.255322\pi\) |
−0.773936 | + | 0.633264i | \(0.781715\pi\) | |||||||
\(762\) | −34.1642 | − | 36.8051i | −1.23764 | − | 1.33331i | ||||
\(763\) | −1.16490 | + | 0.276087i | −0.0421722 | + | 0.00999501i | ||||
\(764\) | −6.50388 | − | 36.8853i | −0.235302 | − | 1.33446i | ||||
\(765\) | −5.27557 | + | 11.7047i | −0.190739 | + | 0.423184i | ||||
\(766\) | 7.44398 | − | 42.2169i | 0.268962 | − | 1.52536i | ||||
\(767\) | 0.306346 | + | 5.25976i | 0.0110615 | + | 0.189919i | ||||
\(768\) | −8.60958 | + | 8.97869i | −0.310671 | + | 0.323990i | ||||
\(769\) | −25.5369 | − | 34.3020i | −0.920884 | − | 1.23696i | −0.971209 | − | 0.238229i | \(-0.923433\pi\) |
0.0503249 | − | 0.998733i | \(-0.483974\pi\) | |||||||
\(770\) | −61.3229 | − | 82.3709i | −2.20992 | − | 2.96844i | ||||
\(771\) | −44.0797 | − | 10.8252i | −1.58749 | − | 0.389860i | ||||
\(772\) | −3.47504 | − | 59.6641i | −0.125069 | − | 2.14736i | ||||
\(773\) | −4.28338 | + | 24.2923i | −0.154062 | + | 0.873732i | 0.805575 | + | 0.592493i | \(0.201856\pi\) |
−0.959638 | + | 0.281239i | \(0.909255\pi\) | |||||||
\(774\) | −14.3429 | − | 50.8976i | −0.515545 | − | 1.82948i | ||||
\(775\) | −0.710278 | − | 4.02818i | −0.0255139 | − | 0.144697i | ||||
\(776\) | 14.3205 | − | 3.39402i | 0.514076 | − | 0.121838i | ||||
\(777\) | 18.4863 | − | 4.22338i | 0.663194 | − | 0.151513i | ||||
\(778\) | −4.02435 | + | 69.0954i | −0.144280 | + | 2.47719i | ||||
\(779\) | −54.7066 | − | 12.9657i | −1.96007 | − | 0.464544i | ||||
\(780\) | 5.43540 | + | 9.59314i | 0.194619 | + | 0.343490i | ||||
\(781\) | 70.9112 | + | 8.28834i | 2.53740 | + | 0.296580i | ||||
\(782\) | −0.727908 | + | 1.26077i | −0.0260299 | + | 0.0450851i | ||||
\(783\) | −6.90132 | − | 17.1330i | −0.246633 | − | 0.612282i | ||||
\(784\) | 1.07543 | + | 1.86269i | 0.0384081 | + | 0.0665248i | ||||
\(785\) | 2.51397 | + | 5.82805i | 0.0897276 | + | 0.208012i | ||||
\(786\) | −29.0505 | + | 10.3076i | −1.03620 | + | 0.367661i | ||||
\(787\) | −23.4304 | + | 24.8348i | −0.835205 | + | 0.885265i | −0.994793 | − | 0.101918i | \(-0.967502\pi\) |
0.159588 | + | 0.987184i | \(0.448983\pi\) | |||||||
\(788\) | −10.5429 | + | 5.29486i | −0.375576 | + | 0.188622i | ||||
\(789\) | −1.48734 | + | 1.96440i | −0.0529506 | + | 0.0699343i | ||||
\(790\) | −5.33715 | + | 17.8273i | −0.189887 | + | 0.634267i | ||||
\(791\) | −25.7569 | + | 21.6126i | −0.915809 | + | 0.768455i | ||||
\(792\) | −1.39453 | − | 33.2105i | −0.0495526 | − | 1.18008i | ||||
\(793\) | −2.45290 | − | 2.05822i | −0.0871049 | − | 0.0730897i | ||||
\(794\) | 19.8004 | − | 13.0229i | 0.702689 | − | 0.462166i | ||||
\(795\) | −18.5655 | + | 2.01760i | −0.658452 | + | 0.0715568i | ||||
\(796\) | −11.2276 | + | 1.31232i | −0.397952 | + | 0.0465140i | ||||
\(797\) | −6.70953 | + | 15.5544i | −0.237664 | + | 0.550967i | −0.994748 | − | 0.102350i | \(-0.967364\pi\) |
0.757085 | + | 0.653317i | \(0.226623\pi\) | |||||||
\(798\) | 56.1242 | − | 27.6192i | 1.98677 | − | 0.977710i | ||||
\(799\) | 7.17028 | + | 3.60105i | 0.253666 | + | 0.127396i | ||||
\(800\) | −23.9360 | + | 8.71201i | −0.846267 | + | 0.308016i | ||||
\(801\) | 8.28900 | + | 14.9101i | 0.292877 | + | 0.526821i | ||||
\(802\) | −16.9179 | − | 6.15760i | −0.597390 | − | 0.217432i | ||||
\(803\) | −14.4560 | − | 15.3224i | −0.510140 | − | 0.540717i | ||||
\(804\) | 2.88362 | + | 57.5415i | 0.101697 | + | 2.02933i | ||||
\(805\) | −3.27948 | − | 2.15695i | −0.115587 | − | 0.0760225i | ||||
\(806\) | 0.521441 | + | 1.74173i | 0.0183670 | + | 0.0613499i | ||||
\(807\) | −1.56848 | − | 9.33728i | −0.0552133 | − | 0.328688i | ||||
\(808\) | −13.2295 | + | 17.7703i | −0.465412 | + | 0.625157i | ||||
\(809\) | −18.5465 | −0.652062 | −0.326031 | − | 0.945359i | \(-0.605711\pi\) | ||||
−0.326031 | + | 0.945359i | \(0.605711\pi\) | |||||||
\(810\) | −27.7892 | − | 51.9522i | −0.976413 | − | 1.82542i | ||||
\(811\) | 24.9560 | 0.876325 | 0.438163 | − | 0.898896i | \(-0.355629\pi\) | ||||
0.438163 | + | 0.898896i | \(0.355629\pi\) | |||||||
\(812\) | 18.4417 | − | 24.7715i | 0.647178 | − | 0.869310i | ||||
\(813\) | −41.0539 | + | 33.8850i | −1.43982 | + | 1.18840i | ||||
\(814\) | 12.5306 | + | 41.8550i | 0.439196 | + | 1.46702i | ||||
\(815\) | 23.3200 | + | 15.3378i | 0.816865 | + | 0.537261i | ||||
\(816\) | 2.77462 | + | 1.42174i | 0.0971310 | + | 0.0497710i | ||||
\(817\) | 29.9225 | + | 31.7160i | 1.04685 | + | 1.10960i | ||||
\(818\) | −78.2784 | − | 28.4910i | −2.73694 | − | 0.996164i | ||||
\(819\) | 6.08941 | + | 2.32884i | 0.212781 | + | 0.0813761i | ||||
\(820\) | −83.2004 | + | 30.2825i | −2.90548 | + | 1.05751i | ||||
\(821\) | 1.20736 | + | 0.606359i | 0.0421372 | + | 0.0211621i | 0.469743 | − | 0.882803i | \(-0.344347\pi\) |
−0.427606 | + | 0.903965i | \(0.640643\pi\) | |||||||
\(822\) | 33.0142 | + | 22.0992i | 1.15150 | + | 0.770798i | ||||
\(823\) | 17.3834 | − | 40.2993i | 0.605948 | − | 1.40475i | −0.288459 | − | 0.957492i | \(-0.593143\pi\) |
0.894407 | − | 0.447254i | \(-0.147598\pi\) | |||||||
\(824\) | −36.9537 | + | 4.31927i | −1.28734 | + | 0.150469i | ||||
\(825\) | 13.6363 | − | 30.9209i | 0.474754 | − | 1.07653i | ||||
\(826\) | 39.3276 | − | 25.8662i | 1.36838 | − | 0.900000i | ||||
\(827\) | 43.1798 | + | 36.2322i | 1.50151 | + | 1.25992i | 0.878539 | + | 0.477670i | \(0.158519\pi\) |
0.622970 | + | 0.782246i | \(0.285926\pi\) | |||||||
\(828\) | −1.51531 | − | 3.67559i | −0.0526605 | − | 0.127736i | ||||
\(829\) | 11.2414 | − | 9.43268i | 0.390431 | − | 0.327610i | −0.426350 | − | 0.904558i | \(-0.640201\pi\) |
0.816781 | + | 0.576948i | \(0.195756\pi\) | |||||||
\(830\) | −0.660598 | + | 2.20655i | −0.0229297 | + | 0.0765906i | ||||
\(831\) | 7.82942 | + | 0.979521i | 0.271599 | + | 0.0339792i | ||||
\(832\) | 8.48982 | − | 4.26375i | 0.294332 | − | 0.147819i | ||||
\(833\) | −1.73094 | + | 1.83469i | −0.0599735 | + | 0.0635682i | ||||
\(834\) | −12.2030 | + | 66.0702i | −0.422554 | + | 2.28782i | ||||
\(835\) | 4.45851 | + | 10.3360i | 0.154293 | + | 0.357692i | ||||
\(836\) | 42.8825 | + | 74.2747i | 1.48312 | + | 2.56885i | ||||
\(837\) | −1.52296 | − | 5.57717i | −0.0526411 | − | 0.192775i | ||||
\(838\) | −14.3302 | + | 24.8206i | −0.495028 | + | 0.857414i | ||||
\(839\) | −0.941795 | − | 0.110080i | −0.0325144 | − | 0.00380039i | 0.0998202 | − | 0.995005i | \(-0.468173\pi\) |
−0.132335 | + | 0.991205i | \(0.542247\pi\) | |||||||
\(840\) | 15.9611 | − | 27.1350i | 0.550709 | − | 0.936247i | ||||
\(841\) | −15.9231 | − | 3.77385i | −0.549073 | − | 0.130133i | ||||
\(842\) | 2.98935 | − | 51.3252i | 0.103020 | − | 1.76878i | ||||
\(843\) | 9.32309 | − | 30.2468i | 0.321104 | − | 1.04175i | ||||
\(844\) | 20.3873 | − | 4.83187i | 0.701759 | − | 0.166320i | ||||
\(845\) | 6.37286 | + | 36.1423i | 0.219233 | + | 1.24333i | ||||
\(846\) | −33.1685 | + | 15.9899i | −1.14036 | + | 0.549743i | ||||
\(847\) | 8.81110 | − | 49.9702i | 0.302753 | − | 1.71700i | ||||
\(848\) | 0.263681 | + | 4.52722i | 0.00905483 | + | 0.155465i | ||||
\(849\) | −11.4473 | − | 39.3961i | −0.392870 | − | 1.35207i | ||||
\(850\) | −7.08868 | − | 9.52175i | −0.243140 | − | 0.326593i | ||||
\(851\) | 0.997261 | + | 1.33955i | 0.0341857 | + | 0.0459193i | ||||
\(852\) | 19.1096 | + | 65.7659i | 0.654683 | + | 2.25310i | ||||
\(853\) | −0.185823 | − | 3.19045i | −0.00636244 | − | 0.109239i | 0.993632 | − | 0.112677i | \(-0.0359426\pi\) |
−0.999994 | + | 0.00343826i | \(0.998906\pi\) | |||||||
\(854\) | −4.96766 | + | 28.1730i | −0.169990 | + | 0.964060i | ||||
\(855\) | 40.1515 | + | 27.3507i | 1.37315 | + | 0.935373i | ||||
\(856\) | 0.0180642 | + | 0.102447i | 0.000617423 | + | 0.00350158i | ||||
\(857\) | −28.8859 | + | 6.84607i | −0.986722 | + | 0.233857i | −0.692136 | − | 0.721767i | \(-0.743330\pi\) |
−0.294586 | + | 0.955625i | \(0.595182\pi\) | |||||||
\(858\) | −4.42464 | + | 14.3548i | −0.151055 | + | 0.490064i | ||||
\(859\) | 0.804437 | − | 13.8116i | 0.0274470 | − | 0.471247i | −0.956380 | − | 0.292126i | \(-0.905637\pi\) |
0.983827 | − | 0.179122i | \(-0.0573255\pi\) | |||||||
\(860\) | 66.8168 | + | 15.8359i | 2.27844 | + | 0.539999i | ||||
\(861\) | −26.5430 | + | 45.1252i | −0.904584 | + | 1.53786i | ||||
\(862\) | −50.1085 | − | 5.85684i | −1.70670 | − | 0.199485i | ||||
\(863\) | −28.9772 | + | 50.1899i | −0.986394 | + | 1.70849i | −0.350826 | + | 0.936440i | \(0.614099\pi\) |
−0.635568 | + | 0.772045i | \(0.719234\pi\) | |||||||
\(864\) | −32.5569 | + | 15.3711i | −1.10761 | + | 0.522934i | ||||
\(865\) | 12.3224 | + | 21.3429i | 0.418973 | + | 0.725682i | ||||
\(866\) | 16.0307 | + | 37.1633i | 0.544744 | + | 1.26286i | ||||
\(867\) | 4.68388 | − | 25.3598i | 0.159073 | − | 0.861264i | ||||
\(868\) | 6.63340 | − | 7.03099i | 0.225152 | − | 0.238648i | ||||
\(869\) | −13.4820 | + | 6.77092i | −0.457346 | + | 0.229688i | ||||
\(870\) | 39.9937 | + | 5.00352i | 1.35591 | + | 0.169635i | ||||
\(871\) | 2.38635 | − | 7.97096i | 0.0808584 | − | 0.270086i | ||||
\(872\) | 0.647763 | − | 0.543538i | 0.0219360 | − | 0.0184065i | ||||
\(873\) | 20.9631 | + | 2.79540i | 0.709492 | + | 0.0946100i | ||||
\(874\) | 4.22002 | + | 3.54102i | 0.142744 | + | 0.119777i | ||||
\(875\) | −9.62853 | + | 6.33278i | −0.325504 | + | 0.214087i | ||||
\(876\) | 8.15388 | − | 18.4893i | 0.275494 | − | 0.624695i | ||||
\(877\) | −13.4759 | + | 1.57511i | −0.455050 | + | 0.0531877i | −0.340531 | − | 0.940233i | \(-0.610607\pi\) |
−0.114519 | + | 0.993421i | \(0.536533\pi\) | |||||||
\(878\) | −24.2042 | + | 56.1117i | −0.816853 | + | 1.89368i | ||||
\(879\) | −6.86285 | − | 4.59389i | −0.231478 | − | 0.154948i | ||||
\(880\) | −17.3076 | − | 8.69219i | −0.583438 | − | 0.293014i | ||||
\(881\) | −2.92937 | + | 1.06621i | −0.0986931 | + | 0.0359214i | −0.390895 | − | 0.920435i | \(-0.627834\pi\) |
0.292202 | + | 0.956357i | \(0.405612\pi\) | |||||||
\(882\) | −1.82496 | − | 11.4305i | −0.0614496 | − | 0.384884i | ||||
\(883\) | 5.52287 | + | 2.01016i | 0.185859 | + | 0.0676472i | 0.433273 | − | 0.901263i | \(-0.357359\pi\) |
−0.247414 | + | 0.968910i | \(0.579581\pi\) | |||||||
\(884\) | 2.15475 | + | 2.28391i | 0.0724722 | + | 0.0768161i | ||||
\(885\) | 32.5360 | + | 16.6718i | 1.09369 | + | 0.560417i | ||||
\(886\) | 22.7684 | + | 14.9750i | 0.764919 | + | 0.503095i | ||||
\(887\) | 1.34266 | + | 4.48479i | 0.0450821 | + | 0.150585i | 0.977567 | − | 0.210624i | \(-0.0675495\pi\) |
−0.932485 | + | 0.361208i | \(0.882364\pi\) | |||||||
\(888\) | −10.3297 | + | 8.52594i | −0.346643 | + | 0.286112i | ||||
\(889\) | 23.0255 | − | 30.9286i | 0.772249 | − | 1.03731i | ||||
\(890\) | −37.2255 | −1.24780 | ||||||||
\(891\) | 15.1755 | − | 45.2908i | 0.508398 | − | 1.51730i | ||||
\(892\) | 43.6472 | 1.46142 | ||||||||
\(893\) | 18.1310 | − | 24.3541i | 0.606730 | − | 0.814980i | ||||
\(894\) | −5.30192 | − | 31.5627i | −0.177323 | − | 1.05561i | ||||
\(895\) | 4.63015 | + | 15.4658i | 0.154769 | + | 0.516964i | ||||
\(896\) | −36.6942 | − | 24.1342i | −1.22587 | − | 0.806266i | ||||
\(897\) | 0.0287375 | + | 0.573446i | 0.000959519 | + | 0.0191468i | ||||
\(898\) | −10.5839 | − | 11.2183i | −0.353190 | − | 0.374359i | ||||
\(899\) | 3.71651 | + | 1.35270i | 0.123953 | + | 0.0451151i | ||||
\(900\) | 32.4135 | + | 0.525519i | 1.08045 | + | 0.0175173i | ||||
\(901\) | −4.99743 | + | 1.81892i | −0.166489 | + | 0.0605969i | ||||
\(902\) | −107.792 | − | 54.1352i | −3.58908 | − | 1.80251i | ||||
\(903\) | 36.4303 | − | 17.9277i | 1.21232 | − | 0.596596i | ||||
\(904\) | 9.40649 | − | 21.8067i | 0.312855 | − | 0.725280i | ||||
\(905\) | 64.1475 | − | 7.49777i | 2.13234 | − | 0.249234i | ||||
\(906\) | 67.3556 | − | 7.31982i | 2.23774 | − | 0.243185i | ||||
\(907\) | −0.779754 | + | 0.512852i | −0.0258913 | + | 0.0170290i | −0.562389 | − | 0.826873i | \(-0.690118\pi\) |
0.536497 | + | 0.843902i | \(0.319747\pi\) | |||||||
\(908\) | −30.2994 | − | 25.4243i | −1.00552 | − | 0.843734i | ||||
\(909\) | −26.8782 | + | 17.0603i | −0.891492 | + | 0.565856i | ||||
\(910\) | −10.8981 | + | 9.14461i | −0.361269 | + | 0.303141i | ||||
\(911\) | 13.0328 | − | 43.5327i | 0.431797 | − | 1.44230i | −0.414724 | − | 0.909947i | \(-0.636122\pi\) |
0.846521 | − | 0.532356i | \(-0.178693\pi\) | |||||||
\(912\) | 7.12136 | − | 9.40552i | 0.235812 | − | 0.311448i | ||||
\(913\) | −1.66872 | + | 0.838061i | −0.0552265 | + | 0.0277358i | ||||
\(914\) | 45.5483 | − | 48.2784i | 1.50660 | − | 1.59691i | ||||
\(915\) | −20.9395 | + | 7.42970i | −0.692239 | + | 0.245618i | ||||
\(916\) | −3.79466 | − | 8.79702i | −0.125379 | − | 0.290662i | ||||
\(917\) | −11.8341 | − | 20.4973i | −0.390797 | − | 0.676880i | ||||
\(918\) | −11.2138 | − | 12.4805i | −0.370112 | − | 0.411917i | ||||
\(919\) | −20.1320 | + | 34.8697i | −0.664095 | + | 1.15025i | 0.315435 | + | 0.948947i | \(0.397849\pi\) |
−0.979530 | + | 0.201299i | \(0.935484\pi\) | |||||||
\(920\) | 2.75375 | + | 0.321867i | 0.0907885 | + | 0.0106116i | ||||
\(921\) | −9.21416 | − | 16.2624i | −0.303617 | − | 0.535865i | ||||
\(922\) | −1.77426 | − | 0.420507i | −0.0584321 | − | 0.0138487i | ||||
\(923\) | 0.575092 | − | 9.87395i | 0.0189294 | − | 0.325005i | ||||
\(924\) | 77.8566 | − | 17.7871i | 2.56130 | − | 0.585152i | ||||
\(925\) | −13.2502 | + | 3.14035i | −0.435663 | + | 0.103254i | ||||
\(926\) | 11.0450 | + | 62.6392i | 0.362960 | + | 2.05845i | ||||
\(927\) | −51.8162 | − | 13.1714i | −1.70187 | − | 0.432604i | ||||
\(928\) | 4.27690 | − | 24.2555i | 0.140396 | − | 0.796225i | ||||
\(929\) | −0.761518 | − | 13.0748i | −0.0249846 | − | 0.428969i | −0.987487 | − | 0.157697i | \(-0.949593\pi\) |
0.962503 | − | 0.271271i | \(-0.0874441\pi\) | |||||||
\(930\) | 12.2517 | + | 3.00879i | 0.401748 | + | 0.0986620i | ||||
\(931\) | 5.69966 | + | 7.65597i | 0.186799 | + | 0.250914i | ||||
\(932\) | −14.5214 | − | 19.5056i | −0.475663 | − | 0.638927i | ||||
\(933\) | 11.6058 | − | 12.1034i | 0.379958 | − | 0.396248i | ||||
\(934\) | 1.61439 | + | 27.7180i | 0.0528245 | + | 0.906962i | ||||
\(935\) | 3.94404 | − | 22.3677i | 0.128984 | − | 0.731504i | ||||
\(936\) | −4.58186 | + | 0.460384i | −0.149763 | + | 0.0150481i | ||||
\(937\) | −5.42867 | − | 30.7875i | −0.177347 | − | 1.00578i | −0.935400 | − | 0.353591i | \(-0.884960\pi\) |
0.758053 | − | 0.652193i | \(-0.226151\pi\) | |||||||
\(938\) | −72.3335 | + | 17.1434i | −2.36177 | + | 0.559750i | ||||
\(939\) | −7.52627 | − | 8.10805i | −0.245610 | − | 0.264596i | ||||
\(940\) | 2.78020 | − | 47.7341i | 0.0906800 | − | 1.55691i | ||||
\(941\) | 45.7331 | + | 10.8389i | 1.49086 | + | 0.353339i | 0.893656 | − | 0.448753i | \(-0.148132\pi\) |
0.597200 | + | 0.802093i | \(0.296280\pi\) | |||||||
\(942\) | −8.29454 | − | 0.0672352i | −0.270251 | − | 0.00219064i | ||||
\(943\) | −4.57945 | − | 0.535261i | −0.149127 | − | 0.0174305i | ||||
\(944\) | 4.43886 | − | 7.68833i | 0.144473 | − | 0.250234i | ||||
\(945\) | 35.3514 | − | 28.2275i | 1.14998 | − | 0.918240i | ||||
\(946\) | 46.7748 | + | 81.0163i | 1.52078 | + | 2.63407i | ||||
\(947\) | 12.1510 | + | 28.1691i | 0.394853 | + | 0.915373i | 0.993444 | + | 0.114318i | \(0.0364682\pi\) |
−0.598591 | + | 0.801055i | \(0.704273\pi\) | |||||||
\(948\) | −11.0106 | − | 9.39213i | −0.357608 | − | 0.305042i | ||||
\(949\) | −2.00268 | + | 2.12272i | −0.0650099 | + | 0.0689064i | ||||
\(950\) | −40.1411 | + | 20.1596i | −1.30235 | + | 0.654065i | ||||
\(951\) | 13.8737 | + | 32.8933i | 0.449884 | + | 1.06664i | ||||
\(952\) | 2.57122 | − | 8.58847i | 0.0833336 | − | 0.278354i | ||||
\(953\) | 5.18464 | − | 4.35043i | 0.167947 | − | 0.140924i | −0.554940 | − | 0.831890i | \(-0.687259\pi\) |
0.722887 | + | 0.690966i | \(0.242815\pi\) | |||||||
\(954\) | 7.37764 | − | 23.2636i | 0.238860 | − | 0.753186i | ||||
\(955\) | 28.7522 | + | 24.1260i | 0.930400 | + | 0.780698i | ||||
\(956\) | −32.0796 | + | 21.0991i | −1.03753 | + | 0.682394i | ||||
\(957\) | 19.2999 | + | 26.3678i | 0.623877 | + | 0.852350i | ||||
\(958\) | 10.0127 | − | 1.17032i | 0.323496 | − | 0.0378113i | ||||
\(959\) | −12.0821 | + | 28.0094i | −0.390151 | + | 0.904471i | ||||
\(960\) | 4.36633 | − | 65.7772i | 0.140923 | − | 2.12295i | ||||
\(961\) | −26.5964 | − | 13.3572i | −0.857947 | − | 0.430877i | ||||
\(962\) | 5.68771 | − | 2.07016i | 0.183379 | − | 0.0667446i | ||||
\(963\) | −0.0283414 | + | 0.146777i | −0.000913289 | + | 0.00472981i | ||||
\(964\) | 1.74773 | + | 0.636123i | 0.0562907 | + | 0.0204881i | ||||
\(965\) | 41.0999 | + | 43.5633i | 1.32305 | + | 1.40235i | ||||
\(966\) | 4.30853 | − | 2.78400i | 0.138625 | − | 0.0895736i | ||||
\(967\) | −16.1418 | − | 10.6166i | −0.519085 | − | 0.341407i | 0.262780 | − | 0.964856i | \(-0.415361\pi\) |
−0.781864 | + | 0.623448i | \(0.785731\pi\) | |||||||
\(968\) | 10.2790 | + | 34.3342i | 0.330379 | + | 1.10354i | ||||
\(969\) | 12.9618 | + | 4.83706i | 0.416394 | + | 0.155389i | ||||
\(970\) | −27.5583 | + | 37.0172i | −0.884844 | + | 1.18855i | ||||
\(971\) | −42.4827 | −1.36333 | −0.681667 | − | 0.731662i | \(-0.738745\pi\) | ||||
−0.681667 | + | 0.731662i | \(0.738745\pi\) | |||||||
\(972\) | 45.6883 | − | 3.47104i | 1.46545 | − | 0.111334i | ||||
\(973\) | −51.5885 | −1.65385 | ||||||||
\(974\) | 37.5437 | − | 50.4299i | 1.20298 | − | 1.61588i | ||||
\(975\) | −4.38627 | − | 1.63686i | −0.140473 | − | 0.0524213i | ||||
\(976\) | 1.54743 | + | 5.16876i | 0.0495319 | + | 0.165448i | ||||
\(977\) | −31.7530 | − | 20.8843i | −1.01587 | − | 0.668147i | −0.0716371 | − | 0.997431i | \(-0.522822\pi\) |
−0.944231 | + | 0.329284i | \(0.893193\pi\) | |||||||
\(978\) | −30.6375 | + | 19.7967i | −0.979679 | + | 0.633029i | ||||
\(979\) | −20.7103 | − | 21.9517i | −0.661906 | − | 0.701579i | ||||
\(980\) | 14.1247 | + | 5.14095i | 0.451196 | + | 0.164222i | ||||
\(981\) | 1.14843 | − | 0.397030i | 0.0366664 | − | 0.0126762i | ||||
\(982\) | −40.9002 | + | 14.8865i | −1.30518 | + | 0.475046i | ||||
\(983\) | −4.94761 | − | 2.48479i | −0.157804 | − | 0.0792524i | 0.368144 | − | 0.929769i | \(-0.379993\pi\) |
−0.525949 | + | 0.850516i | \(0.676290\pi\) | |||||||
\(984\) | 2.44925 | − | 36.8970i | 0.0780791 | − | 1.17623i | ||||
\(985\) | 4.68274 | − | 10.8558i | 0.149204 | − | 0.345895i | ||||
\(986\) | 11.4004 | − | 1.33252i | 0.363064 | − | 0.0424361i | ||||
\(987\) | −16.6988 | − | 22.8142i | −0.531529 | − | 0.726182i | ||||
\(988\) | 9.92694 | − | 6.52905i | 0.315818 | − | 0.207717i | ||||
\(989\) | 2.73922 | + | 2.29848i | 0.0871023 | + | 0.0730875i | ||||
\(990\) | 70.2890 | + | 76.9642i | 2.23393 | + | 2.44608i | ||||
\(991\) | 16.9547 | − | 14.2267i | 0.538583 | − | 0.451925i | −0.332470 | − | 0.943114i | \(-0.607882\pi\) |
0.871053 | + | 0.491189i | \(0.163438\pi\) | |||||||
\(992\) | 2.21101 | − | 7.38528i | 0.0701995 | − | 0.234483i | ||||
\(993\) | −13.6626 | − | 32.3930i | −0.433571 | − | 1.02796i | ||||
\(994\) | −78.9663 | + | 39.6584i | −2.50466 | + | 1.25789i | ||||
\(995\) | 7.77367 | − | 8.23961i | 0.246442 | − | 0.261213i | ||||
\(996\) | −1.36282 | − | 1.16250i | −0.0431827 | − | 0.0368352i | ||||
\(997\) | 8.11635 | + | 18.8158i | 0.257048 | + | 0.595903i | 0.997055 | − | 0.0766960i | \(-0.0244371\pi\) |
−0.740007 | + | 0.672599i | \(0.765178\pi\) | |||||||
\(998\) | −32.8916 | − | 56.9700i | −1.04117 | − | 1.80335i | ||||
\(999\) | −18.2409 | + | 6.14113i | −0.577117 | + | 0.194297i |
(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 | 81.2.g.a.58.2 | yes | 144 | |
3.2 | odd | 2 | 243.2.g.a.226.7 | 144 | |||
9.2 | odd | 6 | 729.2.g.a.433.2 | 144 | |||
9.4 | even | 3 | 729.2.g.c.676.2 | 144 | |||
9.5 | odd | 6 | 729.2.g.b.676.7 | 144 | |||
9.7 | even | 3 | 729.2.g.d.433.7 | 144 | |||
81.7 | even | 27 | inner | 81.2.g.a.7.2 | ✓ | 144 | |
81.13 | even | 27 | 6561.2.a.c.1.11 | 72 | |||
81.20 | odd | 54 | 729.2.g.b.55.7 | 144 | |||
81.34 | even | 27 | 729.2.g.d.298.7 | 144 | |||
81.47 | odd | 54 | 729.2.g.a.298.2 | 144 | |||
81.61 | even | 27 | 729.2.g.c.55.2 | 144 | |||
81.68 | odd | 54 | 6561.2.a.d.1.62 | 72 | |||
81.74 | odd | 54 | 243.2.g.a.100.7 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.7.2 | ✓ | 144 | 81.7 | even | 27 | inner | |
81.2.g.a.58.2 | yes | 144 | 1.1 | even | 1 | trivial | |
243.2.g.a.100.7 | 144 | 81.74 | odd | 54 | |||
243.2.g.a.226.7 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.298.2 | 144 | 81.47 | odd | 54 | |||
729.2.g.a.433.2 | 144 | 9.2 | odd | 6 | |||
729.2.g.b.55.7 | 144 | 81.20 | odd | 54 | |||
729.2.g.b.676.7 | 144 | 9.5 | odd | 6 | |||
729.2.g.c.55.2 | 144 | 81.61 | even | 27 | |||
729.2.g.c.676.2 | 144 | 9.4 | even | 3 | |||
729.2.g.d.298.7 | 144 | 81.34 | even | 27 | |||
729.2.g.d.433.7 | 144 | 9.7 | even | 3 | |||
6561.2.a.c.1.11 | 72 | 81.13 | even | 27 | |||
6561.2.a.d.1.62 | 72 | 81.68 | odd | 54 |