Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(19,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 55, 45]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.be (of order \(66\), degree \(20\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 493.13 | ||
Character | \(\chi\) | \(=\) | 966.493 |
Dual form | 966.2.be.a.145.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.327068 | − | 0.945001i | 0.231272 | − | 0.668216i | ||||
\(3\) | 0.458227 | + | 0.888835i | 0.264557 | + | 0.513169i | ||||
\(4\) | −0.786053 | − | 0.618159i | −0.393027 | − | 0.309079i | ||||
\(5\) | −0.000133721 | 0 | 1.27688e-5i | −5.98018e−5 | 0 | 5.71038e-6i | −0.0950859 | − | 0.995469i | \(-0.530313\pi\) |
0.0950261 | + | 0.995475i | \(0.469707\pi\) | |||||||
\(6\) | 0.989821 | − | 0.142315i | 0.404093 | − | 0.0580998i | ||||
\(7\) | 1.26024 | + | 2.32633i | 0.476324 | + | 0.879270i | ||||
\(8\) | −0.841254 | + | 0.540641i | −0.297428 | + | 0.191145i | ||||
\(9\) | −0.580057 | + | 0.814576i | −0.193352 | + | 0.271525i | ||||
\(10\) | −3.16693e−5 | 0 | 0.000130543i | −1.00147e−5 | 0 | 4.12812e-5i | ||||
\(11\) | −2.18789 | + | 0.757237i | −0.659674 | + | 0.228316i | −0.636336 | − | 0.771412i | \(-0.719551\pi\) |
−0.0233385 | + | 0.999728i | \(0.507430\pi\) | |||||||
\(12\) | 0.189251 | − | 0.981929i | 0.0546321 | − | 0.283458i | ||||
\(13\) | 1.48591 | + | 5.06053i | 0.412116 | + | 1.40354i | 0.860387 | + | 0.509641i | \(0.170222\pi\) |
−0.448271 | + | 0.893898i | \(0.647960\pi\) | |||||||
\(14\) | 2.61057 | − | 0.430057i | 0.697703 | − | 0.114937i | ||||
\(15\) | −7.26238e−5 | 0 | 0.000113005i | −1.87514e−5 | 0 | 2.91777e-5i | ||||
\(16\) | 0.235759 | + | 0.971812i | 0.0589397 | + | 0.242953i | ||||
\(17\) | −4.72591 | − | 1.89197i | −1.14620 | − | 0.458870i | −0.280710 | − | 0.959793i | \(-0.590570\pi\) |
−0.865492 | + | 0.500922i | \(0.832994\pi\) | |||||||
\(18\) | 0.580057 | + | 0.814576i | 0.136721 | + | 0.191997i | ||||
\(19\) | −2.45088 | + | 0.981185i | −0.562271 | + | 0.225099i | −0.635347 | − | 0.772227i | \(-0.719143\pi\) |
0.0730757 | + | 0.997326i | \(0.476719\pi\) | |||||||
\(20\) | 0.000113005 | 0 | 7.26238e-5i | 2.52686e−5 | 0 | 1.62392e-5i | ||||
\(21\) | −1.49025 | + | 2.18613i | −0.325199 | + | 0.477052i | ||||
\(22\) | 2.31523i | 0.493608i | ||||||||
\(23\) | 3.59265 | + | 3.17693i | 0.749119 | + | 0.662435i | ||||
\(24\) | −0.866025 | − | 0.500000i | −0.176777 | − | 0.102062i | ||||
\(25\) | −4.90964 | + | 0.946256i | −0.981929 | + | 0.189251i | ||||
\(26\) | 5.26820 | + | 0.250955i | 1.03318 | + | 0.0492164i | ||||
\(27\) | −0.989821 | − | 0.142315i | −0.190491 | − | 0.0273885i | ||||
\(28\) | 0.447428 | − | 2.60764i | 0.0845560 | − | 0.492798i | ||||
\(29\) | −0.0478048 | − | 0.332490i | −0.00887713 | − | 0.0617418i | 0.984901 | − | 0.173117i | \(-0.0553837\pi\) |
−0.993778 | + | 0.111375i | \(0.964475\pi\) | |||||||
\(30\) | −0.000130543 | 0 | 3.16693e-5i | −2.38337e−5 | 0 | 5.78199e-6i | ||||
\(31\) | 0.479048 | − | 0.0228198i | 0.0860395 | − | 0.00409857i | −0.00451802 | − | 0.999990i | \(-0.501438\pi\) |
0.0905575 | + | 0.995891i | \(0.471135\pi\) | |||||||
\(32\) | 0.995472 | + | 0.0950560i | 0.175976 | + | 0.0168037i | ||||
\(33\) | −1.67561 | − | 1.59769i | −0.291686 | − | 0.278122i | ||||
\(34\) | −3.33361 | + | 3.84719i | −0.571709 | + | 0.659787i | ||||
\(35\) | −0.000198224 | 0 | 0.000294987i | −3.35060e−5 | 0 | 4.98619e-5i | ||||
\(36\) | 0.959493 | − | 0.281733i | 0.159915 | − | 0.0469554i | ||||
\(37\) | 7.64991 | + | 5.44747i | 1.25764 | + | 0.895559i | 0.997545 | − | 0.0700246i | \(-0.0223078\pi\) |
0.260092 | + | 0.965584i | \(0.416247\pi\) | |||||||
\(38\) | 0.125616 | + | 2.63700i | 0.0203776 | + | 0.427778i | ||||
\(39\) | −3.81710 | + | 3.63959i | −0.611225 | + | 0.582802i | ||||
\(40\) | 0.000105590 | 0 | 8.30367e-5i | 1.66952e−5 | 0 | 1.31293e-5i | ||||
\(41\) | −5.37037 | − | 2.45257i | −0.838711 | − | 0.383027i | −0.0507198 | − | 0.998713i | \(-0.516152\pi\) |
−0.787991 | + | 0.615686i | \(0.788879\pi\) | |||||||
\(42\) | 1.57848 | + | 2.12330i | 0.243565 | + | 0.327632i | ||||
\(43\) | 1.37656 | − | 2.14196i | 0.209923 | − | 0.326646i | −0.720286 | − | 0.693677i | \(-0.755989\pi\) |
0.930209 | + | 0.367031i | \(0.119626\pi\) | |||||||
\(44\) | 2.18789 | + | 0.757237i | 0.329837 | + | 0.114158i | ||||
\(45\) | 6.71645e−5 | 0 | 0.000116332i | 1.00123e−5 | 0 | 1.73418e-5i | ||||
\(46\) | 4.17724 | − | 2.35599i | 0.615900 | − | 0.347371i | ||||
\(47\) | 1.41674 | − | 0.817955i | 0.206653 | − | 0.119311i | −0.393102 | − | 0.919495i | \(-0.628598\pi\) |
0.599755 | + | 0.800184i | \(0.295265\pi\) | |||||||
\(48\) | −0.755750 | + | 0.654861i | −0.109083 | + | 0.0945210i | ||||
\(49\) | −3.82361 | + | 5.86345i | −0.546230 | + | 0.837635i | ||||
\(50\) | −0.711574 | + | 4.94911i | −0.100632 | + | 0.699909i | ||||
\(51\) | −0.483889 | − | 5.06751i | −0.0677579 | − | 0.709593i | ||||
\(52\) | 1.96021 | − | 4.89637i | 0.271832 | − | 0.679004i | ||||
\(53\) | 7.60876 | + | 7.97983i | 1.04514 | + | 1.09611i | 0.995249 | + | 0.0973601i | \(0.0310398\pi\) |
0.0498939 | + | 0.998755i | \(0.484112\pi\) | |||||||
\(54\) | −0.458227 | + | 0.888835i | −0.0623567 | + | 0.120955i | ||||
\(55\) | 0.000282898 | 0 | 0.000129195i | 3.81459e−5 | 0 | 1.74207e-5i | ||||
\(56\) | −2.31789 | − | 1.27570i | −0.309741 | − | 0.170472i | ||||
\(57\) | −1.99517 | − | 1.72883i | −0.264267 | − | 0.228989i | ||||
\(58\) | −0.329839 | − | 0.0635712i | −0.0433099 | − | 0.00834730i | ||||
\(59\) | −0.946867 | − | 0.229708i | −0.123272 | − | 0.0299054i | 0.173648 | − | 0.984808i | \(-0.444444\pi\) |
−0.296920 | + | 0.954902i | \(0.595960\pi\) | |||||||
\(60\) | −1.27688e−5 | 0 | 0.000133721i | −1.64844e−6 | 0 | 1.72633e-5i | ||||
\(61\) | 5.85410 | + | 3.01800i | 0.749541 | + | 0.386415i | 0.790273 | − | 0.612755i | \(-0.209939\pi\) |
−0.0407320 | + | 0.999170i | \(0.512969\pi\) | |||||||
\(62\) | 0.135116 | − | 0.460164i | 0.0171598 | − | 0.0584409i | ||||
\(63\) | −2.62598 | − | 0.322845i | −0.330842 | − | 0.0406746i | ||||
\(64\) | 0.415415 | − | 0.909632i | 0.0519269 | − | 0.113704i | ||||
\(65\) | −0.000263313 | 0 | 0.000657725i | −3.26600e−5 | 0 | 8.15808e-5i | ||||
\(66\) | −2.05786 | + | 1.06090i | −0.253305 | + | 0.130588i | ||||
\(67\) | 0.312972 | + | 1.62385i | 0.0382356 | + | 0.198385i | 0.996024 | − | 0.0890905i | \(-0.0283960\pi\) |
−0.957788 | + | 0.287476i | \(0.907184\pi\) | |||||||
\(68\) | 2.54528 | + | 4.40855i | 0.308661 | + | 0.534616i | ||||
\(69\) | −1.17752 | + | 4.64903i | −0.141757 | + | 0.559677i | ||||
\(70\) | −0.000343596 | 0 | 9.08413e-5i | −4.10675e−5 | 0 | 1.08576e-5i | ||||
\(71\) | 2.20301 | + | 2.54241i | 0.261449 | + | 0.301729i | 0.871263 | − | 0.490816i | \(-0.163301\pi\) |
−0.609814 | + | 0.792545i | \(0.708756\pi\) | |||||||
\(72\) | 0.0475819 | − | 0.998867i | 0.00560758 | − | 0.117718i | ||||
\(73\) | 8.53497 | − | 10.8531i | 0.998943 | − | 1.27026i | 0.0363413 | − | 0.999339i | \(-0.488430\pi\) |
0.962602 | − | 0.270920i | \(-0.0873279\pi\) | |||||||
\(74\) | 7.64991 | − | 5.44747i | 0.889284 | − | 0.633256i | ||||
\(75\) | −3.09079 | − | 3.93027i | −0.356894 | − | 0.453828i | ||||
\(76\) | 2.53305 | + | 0.743771i | 0.290561 | + | 0.0853164i | ||||
\(77\) | −4.51884 | − | 4.13546i | −0.514970 | − | 0.471279i | ||||
\(78\) | 2.19097 | + | 4.79755i | 0.248078 | + | 0.543216i | ||||
\(79\) | 1.82034 | − | 1.90911i | 0.204804 | − | 0.214792i | −0.613319 | − | 0.789835i | \(-0.710166\pi\) |
0.818123 | + | 0.575043i | \(0.195015\pi\) | |||||||
\(80\) | −4.39347e−5 | 0 | 0.000126941i | −4.91205e−6 | 0 | 1.41924e-5i | ||||
\(81\) | −0.327068 | − | 0.945001i | −0.0363409 | − | 0.105000i | ||||
\(82\) | −4.07415 | + | 4.27285i | −0.449915 | + | 0.471857i | ||||
\(83\) | −2.17121 | − | 4.75428i | −0.238321 | − | 0.521850i | 0.752245 | − | 0.658883i | \(-0.228971\pi\) |
−0.990567 | + | 0.137033i | \(0.956244\pi\) | |||||||
\(84\) | 2.52279 | − | 0.797201i | 0.275259 | − | 0.0869818i | ||||
\(85\) | 0.000656111 | 0 | 0.000192652i | 7.11653e−5 | 0 | 2.08960e-5i | ||||
\(86\) | −1.57393 | − | 2.00141i | −0.169721 | − | 0.215818i | ||||
\(87\) | 0.273623 | − | 0.194846i | 0.0293355 | − | 0.0208897i | ||||
\(88\) | 1.43118 | − | 1.81989i | 0.152564 | − | 0.194001i | ||||
\(89\) | −0.354172 | + | 7.43499i | −0.0375422 | + | 0.788108i | 0.899084 | + | 0.437777i | \(0.144234\pi\) |
−0.936626 | + | 0.350331i | \(0.886069\pi\) | |||||||
\(90\) | −8.79669e−5 | 0 | 0.000101519i | −9.27252e−6 | 0 | 1.07011e-5i | ||||
\(91\) | −9.89986 | + | 9.83417i | −1.03779 | + | 1.03090i | ||||
\(92\) | −0.860167 | − | 4.71806i | −0.0896786 | − | 0.491892i | ||||
\(93\) | 0.239795 | + | 0.415338i | 0.0248656 | + | 0.0430685i | ||||
\(94\) | −0.309598 | − | 1.60635i | −0.0319326 | − | 0.165682i | ||||
\(95\) | 0.000315205 | 0 | 0.000162500i | 3.23394e−5 | 0 | 1.66721e-5i | ||||
\(96\) | 0.371662 | + | 0.928368i | 0.0379326 | + | 0.0947512i | ||||
\(97\) | −7.72358 | + | 16.9123i | −0.784211 | + | 1.71718i | −0.0916874 | + | 0.995788i | \(0.529226\pi\) |
−0.692524 | + | 0.721395i | \(0.743501\pi\) | |||||||
\(98\) | 4.29038 | + | 5.53106i | 0.433394 | + | 0.558721i | ||||
\(99\) | 0.652275 | − | 2.22145i | 0.0655561 | − | 0.223264i | ||||
\(100\) | 4.44418 | + | 2.29113i | 0.444418 | + | 0.229113i | ||||
\(101\) | 0.702760 | − | 7.35963i | 0.0699272 | − | 0.732311i | −0.890722 | − | 0.454548i | \(-0.849801\pi\) |
0.960650 | − | 0.277763i | \(-0.0895930\pi\) | |||||||
\(102\) | −4.94707 | − | 1.20015i | −0.489832 | − | 0.118832i | ||||
\(103\) | 0.547117 | + | 0.105448i | 0.0539090 | + | 0.0103901i | 0.216134 | − | 0.976364i | \(-0.430655\pi\) |
−0.162225 | + | 0.986754i | \(0.551867\pi\) | |||||||
\(104\) | −3.98595 | − | 3.45385i | −0.390855 | − | 0.338678i | ||||
\(105\) | 0.000171363 | 0 | 0.000311360i | 1.67233e−5 | 0 | 3.03856e-5i | ||||
\(106\) | 10.0295 | − | 4.58033i | 0.974154 | − | 0.444881i | ||||
\(107\) | 4.08141 | − | 7.91682i | 0.394564 | − | 0.765348i | −0.604958 | − | 0.796258i | \(-0.706810\pi\) |
0.999522 | + | 0.0309094i | \(0.00984033\pi\) | |||||||
\(108\) | 0.690079 | + | 0.723734i | 0.0664029 | + | 0.0696413i | ||||
\(109\) | −2.94495 | + | 7.35613i | −0.282075 | + | 0.704589i | 0.717889 | + | 0.696157i | \(0.245108\pi\) |
−0.999964 | + | 0.00843219i | \(0.997316\pi\) | |||||||
\(110\) | −2.95627e−5 | 0 | 0.000309594i | −2.81869e−6 | 0 | 2.95187e-5i | ||||
\(111\) | −1.33652 | + | 9.29569i | −0.126857 | + | 0.882308i | ||||
\(112\) | −1.96364 | + | 1.77316i | −0.185547 | + | 0.167548i | ||||
\(113\) | 10.4209 | − | 9.02976i | 0.980316 | − | 0.849448i | −0.00829180 | − | 0.999966i | \(-0.502639\pi\) |
0.988607 | + | 0.150517i | \(0.0480939\pi\) | |||||||
\(114\) | −2.28630 | + | 1.32000i | −0.214131 | + | 0.123629i | ||||
\(115\) | −0.000520978 | 0 | 0.000378948i | −4.85814e−5 | 0 | 3.53370e-5i | ||||
\(116\) | −0.167954 | + | 0.290906i | −0.0155942 | + | 0.0270099i | ||||
\(117\) | −4.98410 | − | 1.72501i | −0.460780 | − | 0.159477i | ||||
\(118\) | −0.526764 | + | 0.819661i | −0.0484925 | + | 0.0754559i | ||||
\(119\) | −1.55442 | − | 13.3784i | −0.142494 | − | 1.22639i | ||||
\(120\) | 0.000122190 | 0 | 5.58023e-5i | 1.11544e−5 | 0 | 5.09403e-6i | ||||
\(121\) | −4.43312 | + | 3.48624i | −0.403011 | + | 0.316931i | ||||
\(122\) | 4.76670 | − | 4.54504i | 0.431557 | − | 0.411489i | ||||
\(123\) | −0.280919 | − | 5.89721i | −0.0253296 | − | 0.531733i | ||||
\(124\) | −0.390663 | − | 0.278190i | −0.0350826 | − | 0.0249822i | ||||
\(125\) | 0.00128888 | 0.000378449i | 0.000115281 | 3.38495e-5i | ||||||
\(126\) | −1.16396 | + | 2.37596i | −0.103694 | + | 0.211667i | ||||
\(127\) | 2.79517 | − | 3.22580i | 0.248032 | − | 0.286244i | −0.618058 | − | 0.786132i | \(-0.712080\pi\) |
0.866090 | + | 0.499889i | \(0.166626\pi\) | |||||||
\(128\) | −0.723734 | − | 0.690079i | −0.0639697 | − | 0.0609949i | ||||
\(129\) | 2.53463 | + | 0.242027i | 0.223161 | + | 0.0213093i | ||||
\(130\) | −0.000707672 | 0 | 3.37106e-5i | −6.20669e−5 | 0 | 2.95661e-6i | ||||
\(131\) | 10.8659 | − | 2.63604i | 0.949359 | − | 0.230312i | 0.268958 | − | 0.963152i | \(-0.413321\pi\) |
0.680401 | + | 0.732840i | \(0.261806\pi\) | |||||||
\(132\) | 0.329491 | + | 2.29166i | 0.0286785 | + | 0.199464i | ||||
\(133\) | −5.37125 | − | 4.46503i | −0.465746 | − | 0.387167i | ||||
\(134\) | 1.63691 | + | 0.235352i | 0.141407 | + | 0.0203313i | ||||
\(135\) | 0.000134177 | 0 | 6.39164e-6i | 1.15481e−5 | 0 | 5.50104e-7i | ||||
\(136\) | 4.99857 | − | 0.963395i | 0.428624 | − | 0.0826104i | ||||
\(137\) | −3.70400 | − | 2.13851i | −0.316454 | − | 0.182705i | 0.333357 | − | 0.942801i | \(-0.391819\pi\) |
−0.649811 | + | 0.760096i | \(0.725152\pi\) | |||||||
\(138\) | 4.00821 | + | 2.63330i | 0.341201 | + | 0.224162i | ||||
\(139\) | − | 2.24680i | − | 0.190571i | −0.995450 | − | 0.0952857i | \(-0.969624\pi\) | ||
0.995450 | − | 0.0952857i | \(-0.0303765\pi\) | |||||||
\(140\) | −2.65340e−5 | 0 | 0.000354409i | −2.24254e−6 | 0 | 2.99531e-5i | ||||
\(141\) | 1.37622 | + | 0.884440i | 0.115898 | + | 0.0744833i | ||||
\(142\) | 3.12312 | − | 1.25031i | 0.262086 | − | 0.104923i | ||||
\(143\) | −7.08302 | − | 9.94671i | −0.592312 | − | 0.831786i | ||||
\(144\) | −0.928368 | − | 0.371662i | −0.0773640 | − | 0.0309719i | ||||
\(145\) | 1.06380e−5 | 0 | 4.38504e-5i | 8.83437e−7 | 0 | 3.64158e-6i | ||||
\(146\) | −7.46467 | − | 11.6153i | −0.617781 | − | 0.961286i | ||||
\(147\) | −6.96372 | − | 0.711773i | −0.574358 | − | 0.0587061i | ||||
\(148\) | −2.64583 | − | 9.01086i | −0.217486 | − | 0.740688i | ||||
\(149\) | 2.38841 | − | 12.3923i | 0.195666 | − | 1.01521i | −0.742714 | − | 0.669609i | \(-0.766462\pi\) |
0.938380 | − | 0.345605i | \(-0.112326\pi\) | |||||||
\(150\) | −4.72500 | + | 1.63534i | −0.385795 | + | 0.133525i | ||||
\(151\) | 0.947097 | − | 3.90399i | 0.0770737 | − | 0.317702i | −0.920204 | − | 0.391439i | \(-0.871977\pi\) |
0.997278 | + | 0.0737370i | \(0.0234925\pi\) | |||||||
\(152\) | 1.53134 | − | 2.15047i | 0.124208 | − | 0.174426i | ||||
\(153\) | 4.28245 | − | 2.75216i | 0.346216 | − | 0.222499i | ||||
\(154\) | −5.38598 | + | 2.91773i | −0.434015 | + | 0.235118i | ||||
\(155\) | −6.37673e−5 | 0 | 9.16835e-6i | −5.12191e−6 | 0 | 7.36419e-7i | ||||
\(156\) | 5.25029 | − | 0.501342i | 0.420360 | − | 0.0401395i | ||||
\(157\) | −14.2984 | − | 11.2444i | −1.14114 | − | 0.897403i | −0.145379 | − | 0.989376i | \(-0.546440\pi\) |
−0.995761 | + | 0.0919734i | \(0.970683\pi\) | |||||||
\(158\) | −1.20874 | − | 2.34463i | −0.0961622 | − | 0.186529i | ||||
\(159\) | −3.60623 | + | 10.4195i | −0.285992 | + | 0.826320i | ||||
\(160\) | −0.000134329 | 0 | −1.06196e−5 | 0 | ||||||
\(161\) | −2.86299 | + | 12.3614i | −0.225635 | + | 0.974212i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 6.17850 | − | 17.8516i | 0.483938 | − | 1.39825i | −0.393841 | − | 0.919179i | \(-0.628854\pi\) |
0.877778 | − | 0.479067i | \(-0.159025\pi\) | |||||||
\(164\) | 2.70532 | + | 5.24759i | 0.211250 | + | 0.409768i | ||||
\(165\) | 0.000244464 | 0 | 0.000192249i | 1.90315e−5 | 0 | 1.49666e-5i | ||||
\(166\) | −5.20293 | + | 0.496820i | −0.403826 | + | 0.0385607i | ||||
\(167\) | 1.83590 | − | 0.263963i | 0.142067 | − | 0.0204261i | −0.0709146 | − | 0.997482i | \(-0.522592\pi\) |
0.212981 | + | 0.977056i | \(0.431683\pi\) | |||||||
\(168\) | 0.0717678 | − | 2.64478i | 0.00553701 | − | 0.204049i | ||||
\(169\) | −12.4647 | + | 8.01061i | −0.958827 | + | 0.616201i | ||||
\(170\) | 0.000396649 | 0 | 0.000557016i | 3.04216e−5 | 0 | 4.27211e-5i | ||||
\(171\) | 0.622401 | − | 2.56557i | 0.0475962 | − | 0.196194i | ||||
\(172\) | −2.40612 | + | 0.832766i | −0.183465 | + | 0.0634978i | ||||
\(173\) | −1.13804 | + | 5.90471i | −0.0865235 | + | 0.448926i | 0.912667 | + | 0.408703i | \(0.134019\pi\) |
−0.999191 | + | 0.0402230i | \(0.987193\pi\) | |||||||
\(174\) | −0.0946365 | − | 0.322302i | −0.00717437 | − | 0.0244337i | ||||
\(175\) | −8.38861 | − | 10.2289i | −0.634120 | − | 0.773235i | ||||
\(176\) | −1.25171 | − | 1.94769i | −0.0943510 | − | 0.146813i | ||||
\(177\) | −0.229708 | − | 0.946867i | −0.0172659 | − | 0.0711709i | ||||
\(178\) | 6.91023 | + | 2.76644i | 0.517944 | + | 0.207353i | ||||
\(179\) | −12.7362 | − | 17.8855i | −0.951951 | − | 1.33683i | −0.941547 | − | 0.336882i | \(-0.890628\pi\) |
−0.0104035 | − | 0.999946i | \(-0.503312\pi\) | |||||||
\(180\) | −0.000124707 | 0 | 4.99251e-5i | −9.29510e−6 | 0 | 3.72120e-6i | ||||
\(181\) | −6.47611 | − | 4.16194i | −0.481365 | − | 0.309355i | 0.277359 | − | 0.960766i | \(-0.410541\pi\) |
−0.758725 | + | 0.651412i | \(0.774177\pi\) | |||||||
\(182\) | 6.05537 | + | 12.5718i | 0.448854 | + | 0.931885i | ||||
\(183\) | 6.58626i | 0.486871i | ||||||||
\(184\) | −4.73991 | − | 0.730268i | −0.349430 | − | 0.0538361i | ||||
\(185\) | −0.00109251 | 0.000630761i | −8.03229e−5 | 4.63745e-5i | ||||||
\(186\) | 0.470924 | − | 0.0907632i | 0.0345298 | − | 0.00665508i | ||||
\(187\) | 11.7725 | + | 0.560791i | 0.860888 | + | 0.0410091i | ||||
\(188\) | −1.61926 | − | 0.232814i | −0.118097 | − | 0.0169797i | ||||
\(189\) | −0.916338 | − | 2.48200i | −0.0666538 | − | 0.180539i | ||||
\(190\) | −5.04688e−5 | 0 | 0.000351018i | −3.66139e−6 | 0 | 2.54655e-5i | ||||
\(191\) | 12.4605 | − | 3.02288i | 0.901610 | − | 0.218728i | 0.241947 | − | 0.970290i | \(-0.422214\pi\) |
0.659663 | + | 0.751561i | \(0.270699\pi\) | |||||||
\(192\) | 0.998867 | − | 0.0475819i | 0.0720870 | − | 0.00343393i | ||||
\(193\) | 23.4789 | + | 2.24196i | 1.69005 | + | 0.161380i | 0.895271 | − | 0.445522i | \(-0.146982\pi\) |
0.794777 | + | 0.606902i | \(0.207588\pi\) | |||||||
\(194\) | 13.4560 | + | 12.8303i | 0.966084 | + | 0.921159i | ||||
\(195\) | 0.000463952 | 0 | 0.000535429i | 3.32243e−5 | 0 | 3.83429e-5i | ||||
\(196\) | 6.63010 | − | 2.24538i | 0.473579 | − | 0.160384i | ||||
\(197\) | 18.9607 | − | 5.56736i | 1.35089 | − | 0.396658i | 0.475349 | − | 0.879797i | \(-0.342322\pi\) |
0.875544 | + | 0.483139i | \(0.160503\pi\) | |||||||
\(198\) | −1.88593 | − | 1.34296i | −0.134027 | − | 0.0954403i | ||||
\(199\) | 0.597950 | + | 12.5525i | 0.0423875 | + | 0.889824i | 0.915503 | + | 0.402311i | \(0.131793\pi\) |
−0.873116 | + | 0.487513i | \(0.837904\pi\) | |||||||
\(200\) | 3.61867 | − | 3.45040i | 0.255879 | − | 0.243980i | ||||
\(201\) | −1.29993 | + | 1.02227i | −0.0916898 | + | 0.0721056i | ||||
\(202\) | −6.72501 | − | 3.07121i | −0.473170 | − | 0.216089i | ||||
\(203\) | 0.713235 | − | 0.530225i | 0.0500593 | − | 0.0372145i | ||||
\(204\) | −2.75216 | + | 4.28245i | −0.192690 | + | 0.299832i | ||||
\(205\) | 0.000749447 | 0 | 0.000259386i | 5.23436e−5 | 0 | 1.81163e-5i | ||||
\(206\) | 0.278593 | − | 0.482537i | 0.0194105 | − | 0.0336199i | ||||
\(207\) | −4.67179 | + | 1.08369i | −0.324712 | + | 0.0753215i | ||||
\(208\) | −4.56757 | + | 2.63709i | −0.316704 | + | 0.182849i | ||||
\(209\) | 4.61928 | − | 4.00263i | 0.319522 | − | 0.276867i | ||||
\(210\) | −0.000238188 | 0 | 0.000263774i | −1.64365e−5 | 0 | 1.82021e-5i | ||||
\(211\) | −1.69789 | + | 11.8091i | −0.116888 | + | 0.812971i | 0.844062 | + | 0.536246i | \(0.180158\pi\) |
−0.960949 | + | 0.276725i | \(0.910751\pi\) | |||||||
\(212\) | −1.04808 | − | 10.9760i | −0.0719825 | − | 0.753834i | ||||
\(213\) | −1.25031 | + | 3.12312i | −0.0856696 | + | 0.213992i | ||||
\(214\) | −6.14651 | − | 6.44627i | −0.420167 | − | 0.440658i | ||||
\(215\) | −0.000156724 | 0 | 0.000304002i | −1.06885e−5 | 0 | 2.07328e-5i | ||||
\(216\) | 0.909632 | − | 0.415415i | 0.0618926 | − | 0.0282654i | ||||
\(217\) | 0.656800 | + | 1.08566i | 0.0445865 | + | 0.0736997i | ||||
\(218\) | 5.98835 | + | 5.18893i | 0.405582 | + | 0.351439i | ||||
\(219\) | 13.5576 | + | 2.61301i | 0.916136 | + | 0.176571i | ||||
\(220\) | −0.000302236 | 0 | 7.33216e-5i | −2.03767e−5 | 0 | 4.94334e-6i | ||||
\(221\) | 2.55211 | − | 26.7269i | 0.171674 | − | 1.79785i | ||||
\(222\) | 8.34730 | + | 4.30333i | 0.560234 | + | 0.288821i | ||||
\(223\) | −7.05853 | + | 24.0391i | −0.472674 | + | 1.60978i | 0.285946 | + | 0.958246i | \(0.407692\pi\) |
−0.758620 | + | 0.651533i | \(0.774126\pi\) | |||||||
\(224\) | 1.03340 | + | 2.43559i | 0.0690468 | + | 0.162735i | ||||
\(225\) | 2.07708 | − | 4.54816i | 0.138472 | − | 0.303211i | ||||
\(226\) | −5.12479 | − | 12.8011i | −0.340896 | − | 0.851517i | ||||
\(227\) | −20.8890 | + | 10.7690i | −1.38645 | + | 0.714766i | −0.980017 | − | 0.198913i | \(-0.936259\pi\) |
−0.406436 | + | 0.913679i | \(0.633229\pi\) | |||||||
\(228\) | 0.499621 | + | 2.59228i | 0.0330882 | + | 0.171678i | ||||
\(229\) | 7.52635 | + | 13.0360i | 0.497355 | + | 0.861445i | 0.999995 | − | 0.00305102i | \(-0.000971170\pi\) |
−0.502640 | + | 0.864496i | \(0.667638\pi\) | |||||||
\(230\) | −0.000528501 | 0 | 0.000368383i | −3.48483e−5 | 0 | 2.42904e-5i | ||||
\(231\) | 1.60509 | − | 5.91149i | 0.105607 | − | 0.388947i | ||||
\(232\) | 0.219974 | + | 0.253863i | 0.0144420 | + | 0.0166669i | ||||
\(233\) | −0.163171 | + | 3.42537i | −0.0106897 | + | 0.224404i | 0.987201 | + | 0.159483i | \(0.0509826\pi\) |
−0.997890 | + | 0.0649210i | \(0.979320\pi\) | |||||||
\(234\) | −3.26028 | + | 4.14578i | −0.213131 | + | 0.271018i | ||||
\(235\) | −0.000179003 | 0 | 0.000127468i | −1.16769e−5 | 0 | 8.31508e-6i | ||||
\(236\) | 0.602292 | + | 0.765877i | 0.0392059 | + | 0.0498543i | ||||
\(237\) | 2.53101 | + | 0.743173i | 0.164407 | + | 0.0482743i | ||||
\(238\) | −13.1510 | − | 2.90670i | −0.852450 | − | 0.188413i | ||||
\(239\) | −2.90958 | − | 6.37109i | −0.188205 | − | 0.412112i | 0.791884 | − | 0.610672i | \(-0.209101\pi\) |
−0.980089 | + | 0.198560i | \(0.936373\pi\) | |||||||
\(240\) | 9.26977e−5 | 0 | 9.72185e-5i | 5.98361e−6 | 0 | 6.27543e-6i | ||||
\(241\) | 4.04293 | + | 11.6813i | 0.260428 | + | 0.752457i | 0.997093 | + | 0.0761991i | \(0.0242785\pi\) |
−0.736665 | + | 0.676258i | \(0.763600\pi\) | |||||||
\(242\) | 1.84457 | + | 5.32954i | 0.118574 | + | 0.342596i | ||||
\(243\) | 0.690079 | − | 0.723734i | 0.0442686 | − | 0.0464276i | ||||
\(244\) | −2.73603 | − | 5.99107i | −0.175157 | − | 0.383539i | ||||
\(245\) | 0.000436427 | 0 | 0.000832888i | 2.78823e−5 | 0 | 5.32113e-5i | ||||
\(246\) | −5.66475 | − | 1.66332i | −0.361171 | − | 0.106049i | ||||
\(247\) | −8.60710 | − | 10.9448i | −0.547656 | − | 0.696402i | ||||
\(248\) | −0.390663 | + | 0.278190i | −0.0248071 | + | 0.0176651i | ||||
\(249\) | 3.23087 | − | 4.10839i | 0.204748 | − | 0.260358i | ||||
\(250\) | 6.39164e−5 | − | 0.00134177i | 4.04243e−6 | − | 8.48610e-5i | ||||
\(251\) | −17.6355 | − | 20.3524i | −1.11314 | − | 1.28463i | −0.954800 | − | 0.297249i | \(-0.903931\pi\) |
−0.158342 | − | 0.987384i | \(-0.550615\pi\) | |||||||
\(252\) | 1.86459 | + | 1.87705i | 0.117458 | + | 0.118243i | ||||
\(253\) | −10.2660 | − | 4.23029i | −0.645419 | − | 0.265956i | ||||
\(254\) | −2.13417 | − | 3.69650i | −0.133910 | − | 0.231939i | ||||
\(255\) | 0.000129412 | 0 | 0.000671453i | 8.10409e−6 | 0 | 4.20480e-5i | ||||
\(256\) | −0.888835 | + | 0.458227i | −0.0555522 | + | 0.0286392i | ||||
\(257\) | 4.73055 | + | 11.8164i | 0.295084 | + | 0.737084i | 0.999624 | + | 0.0274197i | \(0.00872904\pi\) |
−0.704540 | + | 0.709664i | \(0.748847\pi\) | |||||||
\(258\) | 1.05771 | − | 2.31606i | 0.0658502 | − | 0.144192i | ||||
\(259\) | −3.03193 | + | 24.6613i | −0.188395 | + | 1.53238i | ||||
\(260\) | −0.000199600 | 0 | 0.000679776i | −1.23787e−5 | 0 | 4.21579e-5i | ||||
\(261\) | 0.298568 | + | 0.153922i | 0.0184809 | + | 0.00952755i | ||||
\(262\) | 1.06283 | − | 11.1305i | 0.0656619 | − | 0.687642i | ||||
\(263\) | −8.88093 | − | 2.15449i | −0.547622 | − | 0.132852i | −0.0476032 | − | 0.998866i | \(-0.515158\pi\) |
−0.500018 | + | 0.866015i | \(0.666673\pi\) | |||||||
\(264\) | 2.27339 | + | 0.438160i | 0.139917 | + | 0.0269669i | ||||
\(265\) | −0.00111934 | 0.000969916i | −6.87606e−5 | 5.95814e-5i | ||||||
\(266\) | −5.97622 | + | 3.61547i | −0.366426 | + | 0.221678i | ||||
\(267\) | −6.77078 | + | 3.09211i | −0.414365 | + | 0.189234i | ||||
\(268\) | 0.757787 | − | 1.46990i | 0.0462892 | − | 0.0897886i | ||||
\(269\) | −2.83312 | − | 2.97129i | −0.172738 | − | 0.181163i | 0.631674 | − | 0.775234i | \(-0.282368\pi\) |
−0.804412 | + | 0.594071i | \(0.797520\pi\) | |||||||
\(270\) | 4.99251e−5 | 0 | 0.000124707i | 3.03834e−6 | 0 | 7.58942e-6i | ||||
\(271\) | −2.14530 | − | 22.4666i | −0.130318 | − | 1.36475i | −0.789954 | − | 0.613166i | \(-0.789896\pi\) |
0.659636 | − | 0.751585i | \(-0.270710\pi\) | |||||||
\(272\) | 0.724462 | − | 5.03875i | 0.0439270 | − | 0.305519i | ||||
\(273\) | −13.2773 | − | 4.29307i | −0.803581 | − | 0.259829i | ||||
\(274\) | −3.23235 | + | 2.80085i | −0.195273 | + | 0.169205i | ||||
\(275\) | 10.0252 | − | 5.78807i | 0.604544 | − | 0.349034i | ||||
\(276\) | 3.79943 | − | 2.92649i | 0.228699 | − | 0.176154i | ||||
\(277\) | 1.70486 | − | 2.95290i | 0.102435 | − | 0.177423i | −0.810252 | − | 0.586081i | \(-0.800670\pi\) |
0.912687 | + | 0.408658i | \(0.134003\pi\) | |||||||
\(278\) | −2.12323 | − | 0.734858i | −0.127343 | − | 0.0440738i | ||||
\(279\) | −0.259286 | + | 0.403457i | −0.0155231 | + | 0.0241544i | ||||
\(280\) | 0.000326239 | 0 | 0.000140991i | 1.94965e−5 | 0 | 8.42580e-6i | ||||
\(281\) | −4.25856 | − | 1.94482i | −0.254044 | − | 0.116018i | 0.284323 | − | 0.958729i | \(-0.408231\pi\) |
−0.538367 | + | 0.842710i | \(0.680959\pi\) | |||||||
\(282\) | 1.28591 | − | 1.01125i | 0.0765750 | − | 0.0602192i | ||||
\(283\) | −5.63076 | + | 5.36892i | −0.334714 | + | 0.319149i | −0.838732 | − | 0.544544i | \(-0.816703\pi\) |
0.504019 | + | 0.863693i | \(0.331854\pi\) | |||||||
\(284\) | −0.160070 | − | 3.36028i | −0.00949840 | − | 0.199396i | ||||
\(285\) | 0.000288871 | 0 | 0.000205704i | 1.71112e−5 | 0 | 1.21849e-5i | ||||
\(286\) | −11.7163 | + | 3.44021i | −0.692798 | + | 0.203424i | ||||
\(287\) | −1.06246 | − | 15.5841i | −0.0627151 | − | 0.919898i | ||||
\(288\) | −0.654861 | + | 0.755750i | −0.0385880 | + | 0.0445330i | ||||
\(289\) | 6.45123 | + | 6.15123i | 0.379484 | + | 0.361837i | ||||
\(290\) | 4.49180e−5 | 0 | 4.28915e-6i | 2.63768e−6 | 0 | 2.51868e-7i | ||||
\(291\) | −18.5714 | + | 0.884665i | −1.08867 | + | 0.0518600i | ||||
\(292\) | −13.4179 | + | 3.25514i | −0.785222 | + | 0.190493i | ||||
\(293\) | 2.97340 | + | 20.6804i | 0.173708 | + | 1.20816i | 0.870966 | + | 0.491344i | \(0.163494\pi\) |
−0.697258 | + | 0.716821i | \(0.745597\pi\) | |||||||
\(294\) | −2.95024 | + | 6.34792i | −0.172061 | + | 0.370218i | ||||
\(295\) | 0.000129549 | 0 | 1.86263e-5i | 7.54263e−6 | 0 | 1.08447e-6i | ||||
\(296\) | −9.38064 | − | 0.446855i | −0.545239 | − | 0.0259729i | ||||
\(297\) | 2.27339 | − | 0.438160i | 0.131915 | − | 0.0254246i | ||||
\(298\) | −10.9295 | − | 6.31017i | −0.633131 | − | 0.365538i | ||||
\(299\) | −10.7386 | + | 22.9013i | −0.621029 | + | 1.32442i | ||||
\(300\) | 5.00000i | 0.288675i | ||||||||
\(301\) | 6.71769 | + | 0.502942i | 0.387201 | + | 0.0289891i | ||||
\(302\) | −3.37951 | − | 2.17188i | −0.194469 | − | 0.124977i | ||||
\(303\) | 6.86353 | − | 2.74774i | 0.394299 | − | 0.157854i | ||||
\(304\) | −1.53134 | − | 2.15047i | −0.0878286 | − | 0.123338i | ||||
\(305\) | −0.000821352 | 0 | 0.000328820i | −4.70305e−5 | 0 | 1.88282e-5i | ||||
\(306\) | −1.20015 | − | 4.94707i | −0.0686077 | − | 0.282805i | ||||
\(307\) | −17.5285 | − | 27.2749i | −1.00040 | − | 1.55666i | −0.819436 | − | 0.573170i | \(-0.805713\pi\) |
−0.180968 | − | 0.983489i | \(-0.557923\pi\) | |||||||
\(308\) | 0.995679 | + | 6.04405i | 0.0567341 | + | 0.344392i | ||||
\(309\) | 0.156977 | + | 0.534616i | 0.00893013 | + | 0.0304132i | ||||
\(310\) | −1.21921e−5 | 0 | 6.32588e-5i | −6.92467e−7 | 0 | 3.59286e-6i | ||||
\(311\) | −13.7220 | + | 4.74924i | −0.778104 | + | 0.269304i | −0.687116 | − | 0.726548i | \(-0.741124\pi\) |
−0.0909880 | + | 0.995852i | \(0.529002\pi\) | |||||||
\(312\) | 1.24343 | − | 5.12550i | 0.0703955 | − | 0.290174i | ||||
\(313\) | 8.88859 | − | 12.4823i | 0.502413 | − | 0.705540i | −0.483019 | − | 0.875610i | \(-0.660460\pi\) |
0.985432 | + | 0.170069i | \(0.0543992\pi\) | |||||||
\(314\) | −15.3026 | + | 9.83435i | −0.863573 | + | 0.554985i | ||||
\(315\) | 0.000355271 | 0 | 9.64051e-6i | 2.00172e−5 | 0 | 5.43181e-7i | ||||
\(316\) | −2.61102 | + | 0.375408i | −0.146881 | + | 0.0211183i | ||||
\(317\) | 19.2280 | − | 1.83605i | 1.07995 | − | 0.103123i | 0.460119 | − | 0.887857i | \(-0.347807\pi\) |
0.619833 | + | 0.784734i | \(0.287201\pi\) | |||||||
\(318\) | 8.66696 | + | 6.81577i | 0.486019 | + | 0.382210i | ||||
\(319\) | 0.356365 | + | 0.691252i | 0.0199526 | + | 0.0387027i | ||||
\(320\) | −4.39347e−5 | 0 | 0.000126941i | −2.45603e−6 | 0 | 7.09622e-6i | ||||
\(321\) | 8.90696 | 0.497138 | ||||||||
\(322\) | 10.7451 | + | 6.74853i | 0.598801 | + | 0.376081i | ||||
\(323\) | 13.4390 | 0.747768 | ||||||||
\(324\) | −0.327068 | + | 0.945001i | −0.0181704 | + | 0.0525000i | ||||
\(325\) | −12.0838 | − | 23.4393i | −0.670290 | − | 1.30018i | ||||
\(326\) | −14.8490 | − | 11.6774i | −0.822410 | − | 0.646750i | ||||
\(327\) | −7.88784 | + | 0.753198i | −0.436199 | + | 0.0416519i | ||||
\(328\) | 5.84380 | − | 0.840212i | 0.322670 | − | 0.0463929i | ||||
\(329\) | 3.68826 | + | 2.26499i | 0.203340 | + | 0.124873i | ||||
\(330\) | 0.000261632 | 0 | 0.000168141i | 1.44024e−5 | 0 | 9.25584e-6i | ||||
\(331\) | 13.1004 | − | 18.3970i | 0.720064 | − | 1.01119i | −0.278645 | − | 0.960394i | \(-0.589885\pi\) |
0.998709 | − | 0.0507946i | \(-0.0161754\pi\) | |||||||
\(332\) | −1.23222 | + | 5.07927i | −0.0676267 | + | 0.278761i | ||||
\(333\) | −8.87476 | + | 3.07159i | −0.486334 | + | 0.168322i | ||||
\(334\) | 0.351020 | − | 1.82126i | 0.0192070 | − | 0.0996552i | ||||
\(335\) | −6.25856e−5 | 0 | 0.000213147i | −3.41942e−6 | 0 | 1.16455e-5i | ||||
\(336\) | −2.47584 | − | 0.932843i | −0.135068 | − | 0.0508907i | ||||
\(337\) | 14.8679 | + | 23.1349i | 0.809906 | + | 1.26024i | 0.962319 | + | 0.271922i | \(0.0876591\pi\) |
−0.152413 | + | 0.988317i | \(0.548705\pi\) | |||||||
\(338\) | 3.49321 | + | 14.3992i | 0.190006 | + | 0.783214i | ||||
\(339\) | 12.8011 | + | 5.12479i | 0.695260 | + | 0.278340i | ||||
\(340\) | −0.000396649 | 0 | 0.000557016i | −2.15113e−5 | 0 | 3.02084e-5i | ||||
\(341\) | −1.03082 | + | 0.412680i | −0.0558223 | + | 0.0223479i | ||||
\(342\) | −2.22090 | − | 1.42729i | −0.120093 | − | 0.0771788i | ||||
\(343\) | −18.4590 | − | 1.50565i | −0.996690 | − | 0.0812972i | ||||
\(344\) | 2.54616i | 0.137280i | ||||||||
\(345\) | 9.80963e−5 | 0 | 0.000636707i | 5.28133e−6 | 0 | 3.42792e-5i | ||||
\(346\) | 5.20774 | + | 3.00669i | 0.279970 | + | 0.161641i | ||||
\(347\) | 8.64797 | − | 1.66676i | 0.464247 | − | 0.0894763i | 0.0482364 | − | 0.998836i | \(-0.484640\pi\) |
0.416011 | + | 0.909360i | \(0.363428\pi\) | |||||||
\(348\) | −0.335528 | − | 0.0159832i | −0.0179862 | − | 0.000856789i | ||||
\(349\) | 24.7263 | + | 3.55511i | 1.32357 | + | 0.190301i | 0.767615 | − | 0.640912i | \(-0.221443\pi\) |
0.555955 | + | 0.831212i | \(0.312353\pi\) | |||||||
\(350\) | −12.4100 | + | 4.58169i | −0.663342 | + | 0.244902i | ||||
\(351\) | −0.750593 | − | 5.22049i | −0.0400637 | − | 0.278649i | ||||
\(352\) | −2.24997 | + | 0.545836i | −0.119924 | + | 0.0290931i | ||||
\(353\) | 22.6717 | − | 1.07999i | 1.20669 | − | 0.0574819i | 0.565426 | − | 0.824799i | \(-0.308712\pi\) |
0.641268 | + | 0.767317i | \(0.278409\pi\) | |||||||
\(354\) | −0.969921 | − | 0.0926162i | −0.0515507 | − | 0.00492249i | ||||
\(355\) | −0.000327052 | 0 | 0.000311844i | −1.73581e−5 | 0 | 1.65509e-5i | ||||
\(356\) | 4.87441 | − | 5.62536i | 0.258343 | − | 0.298144i | ||||
\(357\) | 11.1789 | − | 7.51194i | 0.591649 | − | 0.397574i | ||||
\(358\) | −21.0675 | + | 6.18596i | −1.11345 | + | 0.326938i | ||||
\(359\) | −12.2772 | − | 8.74253i | −0.647964 | − | 0.461413i | 0.208221 | − | 0.978082i | \(-0.433233\pi\) |
−0.856185 | + | 0.516669i | \(0.827172\pi\) | |||||||
\(360\) | 6.39164e−6 | 0 | 0.000134177i | 3.36869e−7 | 0 | 7.07175e-6i | ||||
\(361\) | −8.70685 | + | 8.30196i | −0.458255 | + | 0.436945i | ||||
\(362\) | −6.05117 | + | 4.75869i | −0.318042 | + | 0.250111i | ||||
\(363\) | −5.13007 | − | 2.34282i | −0.269259 | − | 0.122966i | ||||
\(364\) | 13.8609 | − | 1.61049i | 0.726508 | − | 0.0844125i | ||||
\(365\) | −0.00100272 | + | 0.00156027i | −5.24849e−5 | + | 8.16681e-5i | ||||
\(366\) | 6.22402 | + | 2.15416i | 0.325335 | + | 0.112600i | ||||
\(367\) | 2.66151 | − | 4.60988i | 0.138930 | − | 0.240634i | −0.788162 | − | 0.615468i | \(-0.788967\pi\) |
0.927092 | + | 0.374834i | \(0.122300\pi\) | |||||||
\(368\) | −2.24038 | + | 4.24037i | −0.116788 | + | 0.221044i | ||||
\(369\) | 5.11292 | − | 2.95195i | 0.266168 | − | 0.153672i | ||||
\(370\) | −0.000953394 | 0 | 0.000826121i | −4.95646e−5 | 0 | 4.29480e-5i | ||||
\(371\) | −8.97489 | + | 27.7569i | −0.465953 | + | 1.44107i | ||||
\(372\) | 0.0682529 | − | 0.474709i | 0.00353875 | − | 0.0246125i | ||||
\(373\) | 2.16102 | + | 22.6312i | 0.111893 | + | 1.17180i | 0.860736 | + | 0.509051i | \(0.170004\pi\) |
−0.748843 | + | 0.662747i | \(0.769390\pi\) | |||||||
\(374\) | 4.38034 | − | 10.9416i | 0.226502 | − | 0.565775i | ||||
\(375\) | 0.000926977 | 0 | 0.000972185i | 4.78689e−5 | 0 | 5.02034e-5i | ||||
\(376\) | −0.749617 | + | 1.45405i | −0.0386586 | + | 0.0749872i | ||||
\(377\) | 1.61154 | − | 0.735966i | 0.0829986 | − | 0.0379042i | ||||
\(378\) | −2.64520 | + | 0.0541571i | −0.136054 | + | 0.00278554i | ||||
\(379\) | 7.07898 | + | 6.13397i | 0.363623 | + | 0.315081i | 0.817440 | − | 0.576014i | \(-0.195393\pi\) |
−0.453817 | + | 0.891095i | \(0.649938\pi\) | |||||||
\(380\) | −0.000348219 | 0 | 6.71137e-5i | −1.78633e−5 | 0 | 3.44286e-6i | ||||
\(381\) | 4.14803 | + | 1.00630i | 0.212510 | + | 0.0515544i | ||||
\(382\) | 1.21880 | − | 12.7639i | 0.0623593 | − | 0.653056i | ||||
\(383\) | 19.3521 | + | 9.97669i | 0.988845 | + | 0.509785i | 0.875213 | − | 0.483738i | \(-0.160721\pi\) |
0.113632 | + | 0.993523i | \(0.463751\pi\) | |||||||
\(384\) | 0.281733 | − | 0.959493i | 0.0143771 | − | 0.0489639i | ||||
\(385\) | 0.000657068 | 0 | 0.000495297i | 3.34873e−5 | 0 | 2.52427e-5i | ||||
\(386\) | 9.79785 | − | 21.4543i | 0.498698 | − | 1.09200i | ||||
\(387\) | 0.946310 | + | 2.36377i | 0.0481037 | + | 0.120157i | ||||
\(388\) | 16.5256 | − | 8.51956i | 0.838962 | − | 0.432515i | ||||
\(389\) | 5.55271 | + | 28.8102i | 0.281533 | + | 1.46073i | 0.797081 | + | 0.603873i | \(0.206376\pi\) |
−0.515548 | + | 0.856861i | \(0.672411\pi\) | |||||||
\(390\) | −0.000354237 | 0 | 0.000613557i | −1.79375e−5 | 0 | 3.10687e-5i | ||||
\(391\) | −10.9679 | − | 21.8111i | −0.554670 | − | 1.10303i | ||||
\(392\) | 0.0466066 | − | 6.99984i | 0.00235399 | − | 0.353546i | ||||
\(393\) | 7.32206 | + | 8.45010i | 0.369349 | + | 0.426251i | ||||
\(394\) | 0.940274 | − | 19.7388i | 0.0473703 | − | 0.994425i | ||||
\(395\) | −0.000219040 | 0 | 0.000278532i | −1.10211e−5 | 0 | 1.40145e-5i | ||||
\(396\) | −1.88593 | + | 1.34296i | −0.0947715 | + | 0.0674865i | ||||
\(397\) | −8.41986 | − | 10.7067i | −0.422580 | − | 0.537355i | 0.527419 | − | 0.849605i | \(-0.323160\pi\) |
−0.950000 | + | 0.312250i | \(0.898917\pi\) | |||||||
\(398\) | 12.0577 | + | 3.54046i | 0.604398 | + | 0.177467i | ||||
\(399\) | 1.50743 | − | 6.82015i | 0.0754659 | − | 0.341435i | ||||
\(400\) | −2.07708 | − | 4.54816i | −0.103854 | − | 0.227408i | ||||
\(401\) | −4.94056 | + | 5.18151i | −0.246720 | + | 0.258752i | −0.835436 | − | 0.549587i | \(-0.814785\pi\) |
0.588716 | + | 0.808340i | \(0.299633\pi\) | |||||||
\(402\) | 0.540885 | + | 1.56279i | 0.0269769 | + | 0.0779446i | ||||
\(403\) | 0.827300 | + | 2.39033i | 0.0412107 | + | 0.119071i | ||||
\(404\) | −5.10183 | + | 5.35064i | −0.253825 | + | 0.266205i | ||||
\(405\) | 5.58023e−5 | 0 | 0.000122190i | 2.77284e−6 | 0 | 6.07167e-6i | ||||
\(406\) | −0.267787 | − | 0.847428i | −0.0132900 | − | 0.0420571i | ||||
\(407\) | −20.8622 | − | 6.12570i | −1.03410 | − | 0.303639i | ||||
\(408\) | 3.14678 | + | 4.00145i | 0.155789 | + | 0.198101i | ||||
\(409\) | −1.12849 | + | 0.803595i | −0.0558003 | + | 0.0397352i | −0.607617 | − | 0.794230i | \(-0.707874\pi\) |
0.551816 | + | 0.833966i | \(0.313935\pi\) | |||||||
\(410\) | 0.000490240 | 0 | 0.000623391i | 2.42112e−5 | 0 | 3.07871e-5i | ||||
\(411\) | 0.203508 | − | 4.27217i | 0.0100383 | − | 0.210730i | ||||
\(412\) | −0.364879 | − | 0.421093i | −0.0179763 | − | 0.0207458i | ||||
\(413\) | −0.658901 | − | 2.49221i | −0.0324224 | − | 0.122634i | ||||
\(414\) | −0.503908 | + | 4.76928i | −0.0247657 | + | 0.234398i | ||||
\(415\) | 0.000351042 | 0 | 0.000608023i | 1.72320e−5 | 0 | 2.98467e-5i | ||||
\(416\) | 0.998143 | + | 5.17886i | 0.0489380 | + | 0.253914i | ||||
\(417\) | 1.99704 | − | 1.02955i | 0.0977954 | − | 0.0504170i | ||||
\(418\) | −2.27167 | − | 5.67435i | −0.111111 | − | 0.277542i | ||||
\(419\) | 0.0463027 | − | 0.101389i | 0.00226204 | − | 0.00495317i | −0.908498 | − | 0.417890i | \(-0.862770\pi\) |
0.910760 | + | 0.412937i | \(0.135497\pi\) | |||||||
\(420\) | −0.000327170 | 0 | 0.000138815i | −1.59643e−5 | 0 | 6.77350e-6i | ||||
\(421\) | 3.42616 | − | 11.6684i | 0.166981 | − | 0.568684i | −0.832903 | − | 0.553419i | \(-0.813323\pi\) |
0.999883 | − | 0.0152648i | \(-0.00485914\pi\) | |||||||
\(422\) | 10.6043 | + | 5.46688i | 0.516208 | + | 0.266124i | ||||
\(423\) | −0.155503 | + | 1.62850i | −0.00756082 | + | 0.0791805i | ||||
\(424\) | −10.7151 | − | 2.59946i | −0.520372 | − | 0.126241i | ||||
\(425\) | 24.9928 | + | 4.81697i | 1.21233 | + | 0.233658i | ||||
\(426\) | 2.54241 | + | 2.20301i | 0.123180 | + | 0.106736i | ||||
\(427\) | 0.356693 | + | 17.4220i | 0.0172616 | + | 0.843108i | ||||
\(428\) | −8.10206 | + | 3.70009i | −0.391628 | + | 0.178850i | ||||
\(429\) | 5.59536 | − | 10.8535i | 0.270147 | − | 0.524011i | ||||
\(430\) | 0.000236023 | 0 | 0.000247534i | 1.13820e−5 | 0 | 1.19371e-5i | ||||
\(431\) | −10.9772 | + | 27.4196i | −0.528752 | + | 1.32076i | 0.388132 | + | 0.921604i | \(0.373120\pi\) |
−0.916884 | + | 0.399154i | \(0.869304\pi\) | |||||||
\(432\) | −0.0950560 | − | 0.995472i | −0.00457339 | − | 0.0478947i | ||||
\(433\) | −1.20848 | + | 8.40519i | −0.0580761 | + | 0.403928i | 0.939960 | + | 0.341285i | \(0.110862\pi\) |
−0.998036 | + | 0.0626431i | \(0.980047\pi\) | |||||||
\(434\) | 1.24077 | − | 0.265590i | 0.0595589 | − | 0.0127487i | ||||
\(435\) | −3.41012e−5 | 0 | 2.95488e-5i | −1.63503e−6 | 0 | 1.41676e-6i | ||||
\(436\) | 6.86214 | − | 3.96186i | 0.328637 | − | 0.189739i | ||||
\(437\) | −11.9223 | − | 4.26122i | −0.570322 | − | 0.203842i | ||||
\(438\) | 6.90354 | − | 11.9573i | 0.329864 | − | 0.571341i | ||||
\(439\) | 16.0377 | + | 5.55071i | 0.765439 | + | 0.264921i | 0.681764 | − | 0.731572i | \(-0.261213\pi\) |
0.0836747 | + | 0.996493i | \(0.473334\pi\) | |||||||
\(440\) | −0.000168141 | 0 | 0.000261632i | −8.01579e−6 | 0 | 1.24728e-5i | ||||
\(441\) | −2.55831 | − | 6.51575i | −0.121824 | − | 0.310274i | ||||
\(442\) | −24.4222 | − | 11.1533i | −1.16165 | − | 0.530507i | ||||
\(443\) | −25.5575 | + | 20.0986i | −1.21427 | + | 0.954914i | −0.999762 | − | 0.0218081i | \(-0.993058\pi\) |
−0.214509 | + | 0.976722i | \(0.568815\pi\) | |||||||
\(444\) | 6.79679 | − | 6.48072i | 0.322561 | − | 0.307561i | ||||
\(445\) | −4.75756e−5 | 0 | 0.000998736i | −2.25530e−6 | 0 | 4.73446e-5i | ||||
\(446\) | 20.4084 | + | 14.5327i | 0.966365 | + | 0.688145i | ||||
\(447\) | 12.1091 | − | 3.55556i | 0.572742 | − | 0.168172i | ||||
\(448\) | 2.63962 | − | 0.179959i | 0.124711 | − | 0.00850228i | ||||
\(449\) | 26.8987 | − | 31.0427i | 1.26943 | − | 1.46500i | 0.448693 | − | 0.893686i | \(-0.351890\pi\) |
0.820734 | − | 0.571310i | \(-0.193565\pi\) | |||||||
\(450\) | −3.61867 | − | 3.45040i | −0.170586 | − | 0.162653i | ||||
\(451\) | 13.6070 | + | 1.29931i | 0.640727 | + | 0.0611820i | ||||
\(452\) | −13.7732 | + | 0.656099i | −0.647837 | + | 0.0308603i | ||||
\(453\) | 3.90399 | − | 0.947097i | 0.183425 | − | 0.0444985i | ||||
\(454\) | 3.34462 | + | 23.2624i | 0.156971 | + | 1.09176i | ||||
\(455\) | 0.00119825 | − | 0.00144144i | 5.61747e−5 | − | 6.75759e-5i | ||||
\(456\) | 2.61312 | + | 0.375710i | 0.122371 | + | 0.0175942i | ||||
\(457\) | 31.7296 | + | 1.51147i | 1.48425 | + | 0.0707034i | 0.773971 | − | 0.633221i | \(-0.218267\pi\) |
0.710275 | + | 0.703924i | \(0.248571\pi\) | |||||||
\(458\) | 14.7807 | − | 2.84874i | 0.690656 | − | 0.133113i | ||||
\(459\) | 4.40855 | + | 2.54528i | 0.205774 | + | 0.118804i | ||||
\(460\) | 0.000175266 | 0 | 0.000619920i | 8.17183e−6 | 0 | 2.89039e-5i | ||||
\(461\) | 16.7648i | 0.780814i | 0.920642 | + | 0.390407i | \(0.127666\pi\) | ||||
−0.920642 | + | 0.390407i | \(0.872334\pi\) | |||||||
\(462\) | −5.06139 | − | 3.45027i | −0.235477 | − | 0.160521i | ||||
\(463\) | 7.83270 | + | 5.03377i | 0.364016 | + | 0.233939i | 0.709844 | − | 0.704359i | \(-0.248765\pi\) |
−0.345828 | + | 0.938298i | \(0.612402\pi\) | |||||||
\(464\) | 0.311847 | − | 0.124845i | 0.0144771 | − | 0.00579577i | ||||
\(465\) | −3.73690e−5 | 0 | 5.24774e-5i | −1.73295e−6 | 0 | 2.43358e-6i | ||||
\(466\) | 3.18361 | + | 1.27453i | 0.147478 | + | 0.0590413i | ||||
\(467\) | 4.21479 | + | 17.3736i | 0.195037 | + | 0.803955i | 0.982297 | + | 0.187333i | \(0.0599842\pi\) |
−0.787259 | + | 0.616622i | \(0.788501\pi\) | |||||||
\(468\) | 2.85143 | + | 4.43691i | 0.131807 | + | 0.205096i | ||||
\(469\) | −3.38320 | + | 2.77452i | −0.156222 | + | 0.128115i | ||||
\(470\) | 6.19108e−5 | 0 | 0.000210849i | 2.85573e−6 | 0 | 9.72573e-6i | ||||
\(471\) | 3.44251 | − | 17.8615i | 0.158623 | − | 0.823013i | ||||
\(472\) | 0.920745 | − | 0.318673i | 0.0423807 | − | 0.0146681i | ||||
\(473\) | −1.38978 | + | 5.72876i | −0.0639023 | + | 0.263409i | ||||
\(474\) | 1.53011 | − | 2.14874i | 0.0702804 | − | 0.0986950i | ||||
\(475\) | 11.1045 | − | 7.13643i | 0.509510 | − | 0.327442i | ||||
\(476\) | −7.04809 | + | 11.4770i | −0.323049 | + | 0.526046i | ||||
\(477\) | −10.9137 | + | 1.56915i | −0.499704 | + | 0.0718465i | ||||
\(478\) | −6.97232 | + | 0.665776i | −0.318906 | + | 0.0304519i | ||||
\(479\) | 30.3012 | + | 23.8291i | 1.38450 | + | 1.08878i | 0.985096 | + | 0.172005i | \(0.0550244\pi\) |
0.399401 | + | 0.916776i | \(0.369218\pi\) | |||||||
\(480\) | −6.15532e−5 | 0 | 0.000119396i | −2.80950e−6 | 0 | 5.44968e-6i | ||||
\(481\) | −16.2001 | + | 46.8070i | −0.738659 | + | 2.13422i | ||||
\(482\) | 12.3611 | 0.563034 | ||||||||
\(483\) | −12.2991 | + | 3.11958i | −0.559629 | + | 0.141946i | ||||
\(484\) | 5.63972 | 0.256351 | ||||||||
\(485\) | 0.000816855 | − | 0.00236015i | 3.70915e−5 | − | 0.000107169i | ||||
\(486\) | −0.458227 | − | 0.888835i | −0.0207856 | − | 0.0403184i | ||||
\(487\) | −21.5868 | − | 16.9761i | −0.978193 | − | 0.769259i | −0.00517421 | − | 0.999987i | \(-0.501647\pi\) |
−0.973018 | + | 0.230727i | \(0.925889\pi\) | |||||||
\(488\) | −6.55644 | + | 0.626064i | −0.296796 | + | 0.0283406i | ||||
\(489\) | 18.6983 | − | 2.68841i | 0.845566 | − | 0.121574i | ||||
\(490\) | −0.000644338 | 0 | 0.000684835i | −2.91082e−5 | 0 | 3.09377e-5i | ||||
\(491\) | 24.1917 | − | 15.5471i | 1.09176 | − | 0.701630i | 0.134513 | − | 0.990912i | \(-0.457053\pi\) |
0.957244 | + | 0.289282i | \(0.0934165\pi\) | |||||||
\(492\) | −3.42459 | + | 4.80917i | −0.154393 | + | 0.216814i | ||||
\(493\) | −0.403139 | + | 1.66176i | −0.0181565 | + | 0.0748420i | ||||
\(494\) | −13.1580 | + | 4.55402i | −0.592005 | + | 0.204895i | ||||
\(495\) | −5.88576e−5 | 0 | 0.000305382i | −2.64545e−6 | 0 | 1.37259e-5i | ||||
\(496\) | 0.135116 | + | 0.460164i | 0.00606690 | + | 0.0206620i | ||||
\(497\) | −3.13817 | + | 8.32897i | −0.140766 | + | 0.373605i | ||||
\(498\) | −2.82571 | − | 4.39690i | −0.126623 | − | 0.197030i | ||||
\(499\) | 8.41651 | + | 34.6933i | 0.376775 | + | 1.55309i | 0.772680 | + | 0.634795i | \(0.218916\pi\) |
−0.395905 | + | 0.918291i | \(0.629569\pi\) | |||||||
\(500\) | −0.00124707 | 0.000499251i | −5.57706e−5 | 2.23272e-5i | ||||||
\(501\) | 1.07588 | + | 1.51086i | 0.0480668 | + | 0.0675003i | ||||
\(502\) | −25.0011 | + | 10.0089i | −1.11585 | + | 0.446720i | ||||
\(503\) | 22.8486 | + | 14.6839i | 1.01877 | + | 0.654723i | 0.939648 | − | 0.342142i | \(-0.111153\pi\) |
0.0791202 | + | 0.996865i | \(0.474789\pi\) | |||||||
\(504\) | 2.38366 | − | 1.14812i | 0.106177 | − | 0.0511412i | ||||
\(505\) | 0 | 0.000993110i | 0 | 4.41928e-5i | ||||||
\(506\) | −7.35531 | + | 8.31780i | −0.326984 | + | 0.369771i | ||||
\(507\) | −12.8318 | − | 7.40844i | −0.569880 | − | 0.329020i | ||||
\(508\) | −4.19121 | + | 0.807790i | −0.185955 | + | 0.0358399i | ||||
\(509\) | −21.7927 | − | 1.03811i | −0.965943 | − | 0.0460136i | −0.441322 | − | 0.897349i | \(-0.645490\pi\) |
−0.524622 | + | 0.851335i | \(0.675793\pi\) | |||||||
\(510\) | 0.000676850 | 0 | 9.73164e-5i | 2.99714e−5 | 0 | 4.30924e-6i | ||||
\(511\) | 36.0040 | + | 6.17768i | 1.59272 | + | 0.273285i | ||||
\(512\) | 0.142315 | + | 0.989821i | 0.00628949 | + | 0.0437443i | ||||
\(513\) | 2.56557 | − | 0.622401i | 0.113273 | − | 0.0274797i | ||||
\(514\) | 12.7137 | − | 0.605627i | 0.560776 | − | 0.0267131i | ||||
\(515\) | −7.45073e−5 | 0 | 7.11459e-6i | −3.28319e−6 | 0 | 3.13506e-7i | ||||
\(516\) | −1.84274 | − | 1.75705i | −0.0811221 | − | 0.0773497i | ||||
\(517\) | −2.48029 | + | 2.86241i | −0.109083 | + | 0.125888i | ||||
\(518\) | 22.3133 | + | 10.9311i | 0.980390 | + | 0.480285i | ||||
\(519\) | −5.76979 | + | 1.69416i | −0.253266 | + | 0.0743655i | ||||
\(520\) | 0.000577106 | 0 | 0.000410956i | 2.53078e−5 | 0 | 1.80216e-5i | ||||
\(521\) | 0.837704 | + | 17.5856i | 0.0367005 | + | 0.770437i | 0.939948 | + | 0.341318i | \(0.110873\pi\) |
−0.903248 | + | 0.429120i | \(0.858824\pi\) | |||||||
\(522\) | 0.243109 | − | 0.231804i | 0.0106406 | − | 0.0101458i | ||||
\(523\) | 22.4049 | − | 17.6194i | 0.979697 | − | 0.770442i | 0.00639712 | − | 0.999980i | \(-0.497964\pi\) |
0.973300 | + | 0.229537i | \(0.0737213\pi\) | |||||||
\(524\) | −10.1707 | − | 4.64479i | −0.444308 | − | 0.202909i | ||||
\(525\) | 5.24796 | − | 12.1433i | 0.229040 | − | 0.529976i | ||||
\(526\) | −4.94066 | + | 7.68782i | −0.215423 | + | 0.335205i | ||||
\(527\) | −2.30711 | − | 0.798499i | −0.100499 | − | 0.0347832i | ||||
\(528\) | 1.15761 | − | 2.00505i | 0.0503787 | − | 0.0872584i | ||||
\(529\) | 2.81426 | + | 22.8272i | 0.122359 | + | 0.992486i | ||||
\(530\) | −0.00128267 | 0.000740551i | −5.57157e−5 | 3.21675e-5i | ||||||
\(531\) | 0.736351 | − | 0.638052i | 0.0319549 | − | 0.0276891i | ||||
\(532\) | 1.46199 | + | 6.83004i | 0.0633852 | + | 0.296120i | ||||
\(533\) | 4.43142 | − | 30.8212i | 0.191946 | − | 1.33501i | ||||
\(534\) | 0.707542 | + | 7.40972i | 0.0306184 | + | 0.320650i | ||||
\(535\) | −0.000444681 | 0.00111076i | −1.92252e−5 | 4.80223e-5i | ||||||
\(536\) | −1.14121 | − | 1.19687i | −0.0492928 | − | 0.0516968i | ||||
\(537\) | 10.0612 | − | 19.5160i | 0.434174 | − | 0.842179i | ||||
\(538\) | −3.73449 | + | 1.70548i | −0.161005 | + | 0.0735287i | ||||
\(539\) | 3.92563 | − | 15.7240i | 0.169089 | − | 0.677279i | ||||
\(540\) | −0.000101519 | 0 | 8.79669e-5i | −4.36869e−6 | 0 | 3.78549e-6i | ||||
\(541\) | 16.7776 | + | 3.23362i | 0.721326 | + | 0.139024i | 0.536686 | − | 0.843782i | \(-0.319676\pi\) |
0.184640 | + | 0.982806i | \(0.440888\pi\) | |||||||
\(542\) | −21.9326 | − | 5.32080i | −0.942088 | − | 0.228548i | ||||
\(543\) | 0.731757 | − | 7.66331i | 0.0314027 | − | 0.328864i | ||||
\(544\) | −4.52467 | − | 2.33263i | −0.193994 | − | 0.100011i | ||||
\(545\) | 0.000299872 | − | 0.00102127i | 1.28451e−5 | − | 4.37465e-5i | ||||
\(546\) | −8.39955 | + | 11.1430i | −0.359467 | + | 0.476875i | ||||
\(547\) | 15.3597 | − | 33.6332i | 0.656735 | − | 1.43805i | −0.228798 | − | 0.973474i | \(-0.573479\pi\) |
0.885533 | − | 0.464576i | \(-0.153793\pi\) | |||||||
\(548\) | 1.58960 | + | 3.97064i | 0.0679045 | + | 0.169617i | ||||
\(549\) | −5.85410 | + | 3.01800i | −0.249847 | + | 0.128805i | ||||
\(550\) | −2.19080 | − | 11.3669i | −0.0934160 | − | 0.484688i | ||||
\(551\) | 0.443398 | + | 0.767988i | 0.0188894 | + | 0.0327174i | ||||
\(552\) | −1.52286 | − | 4.54762i | −0.0648173 | − | 0.193560i | ||||
\(553\) | 6.73528 | + | 1.82877i | 0.286413 | + | 0.0777670i | ||||
\(554\) | −2.23289 | − | 2.57689i | −0.0948665 | − | 0.109482i | ||||
\(555\) | 6.00256e−5 | − | 0.00126009i | 2.54795e−6 | − | 5.34880e-5i | ||||
\(556\) | −1.38888 | + | 1.76611i | −0.0589017 | + | 0.0748996i | ||||
\(557\) | −21.9404 | + | 15.6237i | −0.929646 | + | 0.661998i | −0.941169 | − | 0.337936i | \(-0.890271\pi\) |
0.0115234 | + | 0.999934i | \(0.496332\pi\) | |||||||
\(558\) | 0.296463 | + | 0.376984i | 0.0125503 | + | 0.0159590i | ||||
\(559\) | 12.8849 | + | 3.78335i | 0.544973 | + | 0.160019i | ||||
\(560\) | 0.000239939 | 0 | 0.000262182i | 1.01393e−5 | 0 | 1.10792e-5i | ||||
\(561\) | 4.89600 | + | 10.7207i | 0.206709 | + | 0.452630i | ||||
\(562\) | −3.23069 | + | 3.38825i | −0.136279 | + | 0.142925i | ||||
\(563\) | 5.58551 | + | 16.1383i | 0.235401 | + | 0.680147i | 0.999390 | + | 0.0349178i | \(0.0111169\pi\) |
−0.763989 | + | 0.645229i | \(0.776762\pi\) | |||||||
\(564\) | −0.535054 | − | 1.54594i | −0.0225298 | − | 0.0650957i | ||||
\(565\) | −0.00127819 | + | 0.00134053i | −5.37739e−5 | + | 5.63965e-5i | ||||
\(566\) | 3.23199 | + | 7.07707i | 0.135851 | + | 0.297471i | ||||
\(567\) | 1.78620 | − | 1.95179i | 0.0750133 | − | 0.0819675i | ||||
\(568\) | −3.22782 | − | 0.947774i | −0.135436 | − | 0.0397677i | ||||
\(569\) | 11.3245 | + | 14.4003i | 0.474749 | + | 0.603692i | 0.963162 | − | 0.268920i | \(-0.0866668\pi\) |
−0.488414 | + | 0.872612i | \(0.662424\pi\) | |||||||
\(570\) | 0.000288871 | 0 | 0.000205704i | 1.20995e−5 | 0 | 8.61600e-6i | ||||
\(571\) | 24.4342 | − | 31.0706i | 1.02254 | − | 1.30027i | 0.0694485 | − | 0.997586i | \(-0.477876\pi\) |
0.953092 | − | 0.302681i | \(-0.0978815\pi\) | |||||||
\(572\) | −0.581018 | + | 12.1971i | −0.0242936 | + | 0.509985i | ||||
\(573\) | 8.39658 | + | 9.69017i | 0.350772 | + | 0.404813i | ||||
\(574\) | −15.0744 | − | 4.09302i | −0.629195 | − | 0.170839i | ||||
\(575\) | −20.6448 | − | 12.1980i | −0.860948 | − | 0.508692i | ||||
\(576\) | 0.500000 | + | 0.866025i | 0.0208333 | + | 0.0360844i | ||||
\(577\) | −0.961878 | − | 4.99070i | −0.0400435 | − | 0.207765i | 0.956396 | − | 0.292072i | \(-0.0943447\pi\) |
−0.996440 | + | 0.0843064i | \(0.973133\pi\) | |||||||
\(578\) | 7.92291 | − | 4.08454i | 0.329549 | − | 0.169895i | ||||
\(579\) | 8.76592 | + | 21.8962i | 0.364299 | + | 0.909975i | ||||
\(580\) | 1.87445e−5 | 0 | 4.10447e-5i | 7.78323e−7 | 0 | 1.70429e-6i | ||||
\(581\) | 8.32379 | − | 11.0425i | 0.345329 | − | 0.458119i | ||||
\(582\) | −5.23810 | + | 17.8393i | −0.217126 | + | 0.739464i | ||||
\(583\) | −22.6898 | − | 11.6974i | −0.939714 | − | 0.484456i | ||||
\(584\) | −1.31245 | + | 13.7446i | −0.0543094 | + | 0.568754i | ||||
\(585\) | 0.000688504 | 0 | 0.000167029i | 2.84661e−5 | 0 | 6.90581e-6i | ||||
\(586\) | 20.5155 | + | 3.95405i | 0.847489 | + | 0.163340i | ||||
\(587\) | −21.1122 | − | 18.2938i | −0.871393 | − | 0.755066i | 0.0993845 | − | 0.995049i | \(-0.468313\pi\) |
−0.970777 | + | 0.239983i | \(0.922858\pi\) | |||||||
\(588\) | 5.03386 | + | 4.86418i | 0.207593 | + | 0.200595i | ||||
\(589\) | −1.15170 | + | 0.525963i | −0.0474549 | + | 0.0216719i | ||||
\(590\) | 5.99732e−5 | 0 | 0.000116332i | 2.46906e−6 | 0 | 4.78931e-6i | ||||
\(591\) | 13.6368 | + | 14.3018i | 0.560941 | + | 0.588298i | ||||
\(592\) | −3.49038 | + | 8.71856i | −0.143454 | + | 0.358331i | ||||
\(593\) | 1.37308 | + | 14.3795i | 0.0563855 | + | 0.590496i | 0.978873 | + | 0.204469i | \(0.0655467\pi\) |
−0.922488 | + | 0.386027i | \(0.873847\pi\) | |||||||
\(594\) | 0.329491 | − | 2.29166i | 0.0135192 | − | 0.0940281i | ||||
\(595\) | 0.000378684 | 0.00176912i | 1.55245e−5 | 7.25267e-5i | ||||||
\(596\) | −9.53781 | + | 8.26456i | −0.390684 | + | 0.338530i | ||||
\(597\) | −10.8831 | + | 6.28337i | −0.445417 | + | 0.257161i | ||||
\(598\) | 18.1295 | + | 17.6383i | 0.741371 | + | 0.721283i | ||||
\(599\) | −2.83151 | + | 4.90433i | −0.115693 | + | 0.200385i | −0.918056 | − | 0.396450i | \(-0.870242\pi\) |
0.802364 | + | 0.596835i | \(0.203575\pi\) | |||||||
\(600\) | 4.72500 | + | 1.63534i | 0.192897 | + | 0.0667625i | ||||
\(601\) | 6.99833 | − | 10.8896i | 0.285468 | − | 0.444197i | −0.668672 | − | 0.743557i | \(-0.733137\pi\) |
0.954140 | + | 0.299361i | \(0.0967734\pi\) | |||||||
\(602\) | 2.67242 | − | 6.18373i | 0.108920 | − | 0.252030i | ||||
\(603\) | −1.50429 | − | 0.686988i | −0.0612596 | − | 0.0279763i | ||||
\(604\) | −3.15775 | + | 2.48329i | −0.128487 | + | 0.101043i | ||||
\(605\) | 0.000548285 | 0 | 0.000522789i | 2.22910e−5 | 0 | 2.12544e-5i | ||||
\(606\) | −0.351778 | − | 7.38474i | −0.0142900 | − | 0.299984i | ||||
\(607\) | 2.00127 | + | 1.42510i | 0.0812289 | + | 0.0578429i | 0.619950 | − | 0.784641i | \(-0.287153\pi\) |
−0.538721 | + | 0.842484i | \(0.681092\pi\) | |||||||
\(608\) | −2.53305 | + | 0.743771i | −0.102729 | + | 0.0301639i | ||||
\(609\) | 0.798106 | + | 0.390985i | 0.0323409 | + | 0.0158435i | ||||
\(610\) | −0.000579373 | 0 | 0.000668632i | −2.34581e−5 | 0 | 2.70721e-5i | ||||
\(611\) | 6.24443 | + | 5.95405i | 0.252622 | + | 0.240875i | ||||
\(612\) | −5.06751 | − | 0.483889i | −0.204842 | − | 0.0195600i | ||||
\(613\) | 16.7919 | − | 0.799897i | 0.678219 | − | 0.0323076i | 0.294354 | − | 0.955697i | \(-0.404896\pi\) |
0.383865 | + | 0.923389i | \(0.374593\pi\) | |||||||
\(614\) | −31.5078 | + | 7.64371i | −1.27155 | + | 0.308475i | ||||
\(615\) | 0.000112865 | 0 | 0.000784993i | 4.55115e−6 | 0 | 3.16540e-5i | ||||
\(616\) | 6.03729 | + | 1.03590i | 0.243249 | + | 0.0417376i | ||||
\(617\) | −32.3583 | − | 4.65242i | −1.30270 | − | 0.187299i | −0.544188 | − | 0.838963i | \(-0.683162\pi\) |
−0.758508 | + | 0.651664i | \(0.774071\pi\) | |||||||
\(618\) | 0.556554 | + | 0.0265120i | 0.0223879 | + | 0.00106647i | ||||
\(619\) | −17.7187 | + | 3.41501i | −0.712177 | + | 0.137261i | −0.532457 | − | 0.846457i | \(-0.678731\pi\) |
−0.179720 | + | 0.983718i | \(0.557519\pi\) | |||||||
\(620\) | 5.57920e−5 | 0 | 3.22115e-5i | 2.24066e−6 | 0 | 1.29364e-6i | ||||
\(621\) | −3.10396 | − | 3.65588i | −0.124558 | − | 0.146705i | ||||
\(622\) | 14.5206i | 0.582225i | ||||||||
\(623\) | −17.7426 | + | 8.54592i | −0.710841 | + | 0.342385i | ||||
\(624\) | −4.43691 | − | 2.85143i | −0.177619 | − | 0.114149i | ||||
\(625\) | 23.2092 | − | 9.29156i | 0.928368 | − | 0.371662i | ||||
\(626\) | −8.88859 | − | 12.4823i | −0.355260 | − | 0.498892i | ||||
\(627\) | 5.67435 | + | 2.27167i | 0.226612 | + | 0.0907217i | ||||
\(628\) | 4.28850 | + | 17.6774i | 0.171130 | + | 0.705406i | ||||
\(629\) | −25.8463 | − | 40.2177i | −1.03056 | − | 1.60358i | ||||
\(630\) | 0.000125308 | 0 | 0.000332578i | 4.99239e−6 | 0 | 1.32502e-5i | ||||
\(631\) | −6.67316 | − | 22.7267i | −0.265654 | − | 0.904736i | −0.978989 | − | 0.203912i | \(-0.934634\pi\) |
0.713335 | − | 0.700824i | \(-0.247184\pi\) | |||||||
\(632\) | −0.499219 | + | 2.59020i | −0.0198579 | + | 0.103032i | ||||
\(633\) | −11.2744 | + | 3.90209i | −0.448115 | + | 0.155094i | ||||
\(634\) | 4.55379 | − | 18.7710i | 0.180854 | − | 0.745491i | ||||
\(635\) | −0.000332583 | 0 | 0.000467048i | −1.31982e−5 | 0 | 1.85342e-5i | ||||
\(636\) | 9.27560 | − | 5.96106i | 0.367801 | − | 0.236372i | ||||
\(637\) | −35.3537 | − | 10.6370i | −1.40076 | − | 0.421452i | ||||
\(638\) | 0.769790 | − | 0.110679i | 0.0304763 | − | 0.00438183i | ||||
\(639\) | −3.34886 | + | 0.319777i | −0.132479 | + | 0.0126502i | ||||
\(640\) | 0.000105590 | 0 | 8.30367e-5i | 4.17380e−6 | 0 | 3.28232e-6i | ||||
\(641\) | −1.22067 | − | 2.36778i | −0.0482137 | − | 0.0935215i | 0.863498 | − | 0.504353i | \(-0.168269\pi\) |
−0.911711 | + | 0.410831i | \(0.865239\pi\) | |||||||
\(642\) | 2.91318 | − | 8.41709i | 0.114974 | − | 0.332196i | ||||
\(643\) | 21.4780 | 0.847011 | 0.423505 | − | 0.905894i | \(-0.360799\pi\) | ||||
0.423505 | + | 0.905894i | \(0.360799\pi\) | |||||||
\(644\) | 9.89175 | − | 7.94690i | 0.389790 | − | 0.313152i | ||||
\(645\) | −0.000342023 | 0 | −1.34671e−5 | 0 | ||||||
\(646\) | 4.39548 | − | 12.6999i | 0.172938 | − | 0.499671i | ||||
\(647\) | −5.84700 | − | 11.3416i | −0.229869 | − | 0.445885i | 0.745487 | − | 0.666520i | \(-0.232217\pi\) |
−0.975356 | + | 0.220636i | \(0.929187\pi\) | |||||||
\(648\) | 0.786053 | + | 0.618159i | 0.0308791 | + | 0.0242836i | ||||
\(649\) | 2.24559 | − | 0.214428i | 0.0881470 | − | 0.00841702i | ||||
\(650\) | −26.1024 | + | 3.75296i | −1.02382 | + | 0.147203i | ||||
\(651\) | −0.664013 | + | 1.08127i | −0.0260247 | + | 0.0423782i | ||||
\(652\) | −15.8918 | + | 10.2130i | −0.622369 | + | 0.399973i | ||||
\(653\) | 13.8944 | − | 19.5119i | 0.543729 | − | 0.763560i | −0.447704 | − | 0.894182i | \(-0.647758\pi\) |
0.991432 | + | 0.130622i | \(0.0416975\pi\) | |||||||
\(654\) | −1.86809 | + | 7.70036i | −0.0730480 | + | 0.301108i | ||||
\(655\) | −0.00141934 | 0.000491238i | −5.54582e−5 | 1.91943e-5i | ||||||
\(656\) | 1.11732 | − | 5.79720i | 0.0436240 | − | 0.226343i | ||||
\(657\) | 3.88991 | + | 13.2478i | 0.151760 | + | 0.516846i | ||||
\(658\) | 3.34672 | − | 2.74460i | 0.130469 | − | 0.106996i | ||||
\(659\) | −15.6655 | − | 24.3761i | −0.610243 | − | 0.949556i | −0.999595 | − | 0.0284673i | \(-0.990937\pi\) |
0.389352 | − | 0.921089i | \(-0.372699\pi\) | |||||||
\(660\) | −7.33216e−5 | 0 | 0.000302236i | −2.85404e−6 | 0 | 1.17645e-5i | ||||
\(661\) | 26.2943 | + | 10.5266i | 1.02273 | + | 0.409439i | 0.821563 | − | 0.570118i | \(-0.193103\pi\) |
0.201167 | + | 0.979557i | \(0.435527\pi\) | |||||||
\(662\) | −13.1004 | − | 18.3970i | −0.509162 | − | 0.715018i | ||||
\(663\) | 24.9253 | − | 9.97857i | 0.968017 | − | 0.387536i | ||||
\(664\) | 4.39690 | + | 2.82571i | 0.170633 | + | 0.109659i | ||||
\(665\) | 0.000775261 | 0 | 0.000528484i | 3.00633e−5 | 0 | 2.04937e-5i | ||||
\(666\) | 9.39128i | 0.363905i | ||||||||
\(667\) | 0.884550 | − | 1.34639i | 0.0342499 | − | 0.0521325i | ||||
\(668\) | −1.60629 | − | 0.927391i | −0.0621492 | − | 0.0358819i | ||||
\(669\) | −24.6012 | + | 4.74150i | −0.951139 | + | 0.183317i | ||||
\(670\) | −0.000221894 | 0 | 1.05701e-5i | −8.57250e−6 | 0 | 4.08359e-7i | ||||
\(671\) | −15.0935 | − | 2.17012i | −0.582678 | − | 0.0837764i | ||||
\(672\) | −1.69131 | + | 2.03457i | −0.0652436 | + | 0.0784853i | ||||
\(673\) | 5.74720 | + | 39.9727i | 0.221538 | + | 1.54083i | 0.732223 | + | 0.681065i | \(0.238483\pi\) |
−0.510684 | + | 0.859768i | \(0.670608\pi\) | |||||||
\(674\) | 26.7253 | − | 6.48349i | 1.02942 | − | 0.249735i | ||||
\(675\) | 4.99434 | − | 0.237910i | 0.192232 | − | 0.00915714i | ||||
\(676\) | 14.7498 | + | 1.40843i | 0.567299 | + | 0.0541705i | ||||
\(677\) | −29.6481 | − | 28.2694i | −1.13947 | − | 1.08648i | −0.995291 | − | 0.0969285i | \(-0.969098\pi\) |
−0.144177 | − | 0.989552i | \(-0.546053\pi\) | |||||||
\(678\) | 9.02976 | − | 10.4209i | 0.346786 | − | 0.400212i | ||||
\(679\) | −49.0771 | + | 3.34588i | −1.88341 | + | 0.128403i | ||||
\(680\) | −0.000656111 | 0 | 0.000192652i | −2.51607e−5 | 0 | 7.38785e-6i | ||||
\(681\) | −19.1438 | − | 13.6322i | −0.733592 | − | 0.522389i | ||||
\(682\) | 0.0528332 | + | 1.10910i | 0.00202309 | + | 0.0424698i | ||||
\(683\) | −35.3891 | + | 33.7434i | −1.35413 | + | 1.29116i | −0.433264 | + | 0.901267i | \(0.642638\pi\) |
−0.920862 | + | 0.389889i | \(0.872513\pi\) | |||||||
\(684\) | −2.07517 | + | 1.63193i | −0.0793462 | + | 0.0623985i | ||||
\(685\) | 0.000522608 | 0 | 0.000238667i | 1.99678e−5 | 0 | 9.11900e-6i | ||||
\(686\) | −7.46017 | + | 16.9513i | −0.284831 | + | 0.647203i | ||||
\(687\) | −8.13811 | + | 12.6631i | −0.310488 | + | 0.483129i | ||||
\(688\) | 2.40612 | + | 0.832766i | 0.0917324 | + | 0.0317489i | ||||
\(689\) | −29.0763 | + | 50.3616i | −1.10772 | + | 1.91862i | ||||
\(690\) | −0.000569605 | 0 | 0.000300948i | −2.16845e−5 | 0 | 1.14569e-5i | ||||
\(691\) | 11.1272 | − | 6.42431i | 0.423300 | − | 0.244392i | −0.273188 | − | 0.961961i | \(-0.588078\pi\) |
0.696488 | + | 0.717568i | \(0.254745\pi\) | |||||||
\(692\) | 4.54461 | − | 3.93792i | 0.172760 | − | 0.149697i | ||||
\(693\) | 5.98983 | − | 1.28214i | 0.227535 | − | 0.0487044i | ||||
\(694\) | 1.25338 | − | 8.71748i | 0.0475778 | − | 0.330911i | ||||
\(695\) | 2.86890e−5 | 0 | 0.000300445i | 1.08823e−6 | 0 | 1.13965e-5i | ||||
\(696\) | −0.124845 | + | 0.311847i | −0.00473223 | + | 0.0118205i | ||||
\(697\) | 20.7397 | + | 21.7512i | 0.785573 | + | 0.823885i | ||||
\(698\) | 11.4468 | − | 22.2036i | 0.433267 | − | 0.840420i | ||||
\(699\) | −3.11936 | + | 1.42456i | −0.117985 | + | 0.0538820i | ||||
\(700\) | 0.270785 | + | 13.2260i | 0.0102347 | + | 0.499895i | ||||
\(701\) | 30.1968 | + | 26.1656i | 1.14052 | + | 0.988262i | 0.999998 | − | 0.00181584i | \(-0.000578002\pi\) |
0.140517 | + | 0.990078i | \(0.455123\pi\) | |||||||
\(702\) | −5.17886 | − | 0.998143i | −0.195463 | − | 0.0376725i | ||||
\(703\) | −24.0940 | − | 5.84514i | −0.908723 | − | 0.220454i | ||||
\(704\) | −0.220076 | + | 2.30474i | −0.00829444 | + | 0.0868633i | ||||
\(705\) | −0.000195322 | 0 | 0.000100695i | −7.35625e−6 | 0 | 3.79241e-6i | ||||
\(706\) | 6.39461 | − | 21.7780i | 0.240664 | − | 0.819627i | ||||
\(707\) | 18.0066 | − | 7.64002i | 0.677207 | − | 0.287333i | ||||
\(708\) | −0.404752 | + | 0.886284i | −0.0152115 | + | 0.0333086i | ||||
\(709\) | 5.14844 | + | 12.8602i | 0.193354 | + | 0.482975i | 0.993087 | − | 0.117381i | \(-0.0374499\pi\) |
−0.799733 | + | 0.600356i | \(0.795026\pi\) | |||||||
\(710\) | −0.000401661 | 0 | 0.000207070i | −1.50741e−5 | 0 | 7.77122e-6i | ||||
\(711\) | 0.499219 | + | 2.59020i | 0.0187222 | + | 0.0971400i | ||||
\(712\) | −3.72171 | − | 6.44619i | −0.139477 | − | 0.241581i | ||||
\(713\) | 1.79355 | + | 1.43992i | 0.0671689 | + | 0.0539253i | ||||
\(714\) | −3.44254 | − | 13.0210i | −0.128834 | − | 0.487297i | ||||
\(715\) | 0.00107416 | + | 0.00123964i | 4.01711e−5 | + | 4.63600e-5i | ||||
\(716\) | −1.04475 | + | 21.9320i | −0.0390441 | + | 0.819637i | ||||
\(717\) | 4.32961 | − | 5.50554i | 0.161692 | − | 0.205608i | ||||
\(718\) | −12.2772 | + | 8.74253i | −0.458180 | + | 0.326268i | ||||
\(719\) | 12.6438 | + | 16.0780i | 0.471536 | + | 0.599606i | 0.962402 | − | 0.271628i | \(-0.0875621\pi\) |
−0.490867 | + | 0.871235i | \(0.663320\pi\) | |||||||
\(720\) | 0.000128888 | 0 | 3.78449e-5i | 4.80337e−6 | 0 | 1.41040e-6i | ||||
\(721\) | 0.444189 | + | 1.40566i | 0.0165425 | + | 0.0523496i | ||||
\(722\) | 4.99763 | + | 10.9433i | 0.185993 | + | 0.407267i | ||||
\(723\) | −8.53016 | + | 8.94617i | −0.317240 | + | 0.332712i | ||||
\(724\) | 2.51782 | + | 7.27477i | 0.0935742 | + | 0.270365i | ||||
\(725\) | 0.549325 | + | 1.58717i | 0.0204014 | + | 0.0589460i | ||||
\(726\) | −3.89185 | + | 4.08166i | −0.144440 | + | 0.151484i | ||||
\(727\) | −2.46500 | − | 5.39759i | −0.0914217 | − | 0.200186i | 0.858397 | − | 0.512985i | \(-0.171460\pi\) |
−0.949819 | + | 0.312800i | \(0.898733\pi\) | |||||||
\(728\) | 3.01154 | − | 13.6253i | 0.111615 | − | 0.504987i | ||||
\(729\) | 0.959493 | + | 0.281733i | 0.0355368 | + | 0.0104345i | ||||
\(730\) | 0.00114650 | + | 0.00145789i | 4.24337e−5 | + | 5.39588e-5i | ||||
\(731\) | −10.5580 | + | 7.51833i | −0.390502 | + | 0.278075i | ||||
\(732\) | 4.07136 | − | 5.17715i | 0.150482 | − | 0.191353i | ||||
\(733\) | 0.957908 | − | 20.1090i | 0.0353811 | − | 0.742742i | −0.909574 | − | 0.415542i | \(-0.863592\pi\) |
0.944955 | − | 0.327200i | \(-0.106105\pi\) | |||||||
\(734\) | −3.48584 | − | 4.02287i | −0.128665 | − | 0.148487i | ||||
\(735\) | 0.000940283 | 0 | 6.26062e-6i | 3.46829e−5 | 0 | 2.30926e-7i | ||||
\(736\) | 3.27440 | + | 3.50405i | 0.120696 | + | 0.129161i | ||||
\(737\) | −1.91439 | − | 3.31582i | −0.0705175 | − | 0.122140i | ||||
\(738\) | −1.11732 | − | 5.79720i | −0.0411291 | − | 0.213398i | ||||
\(739\) | −7.06109 | + | 3.64025i | −0.259747 | + | 0.133909i | −0.583182 | − | 0.812342i | \(-0.698192\pi\) |
0.323435 | + | 0.946250i | \(0.395162\pi\) | |||||||
\(740\) | 0.000468860 | 0.00117116i | 1.72356e−5 | 4.30526e-5i | ||||||
\(741\) | 5.78414 | − | 12.6655i | 0.212486 | − | 0.465279i | ||||
\(742\) | 23.2949 | + | 17.5597i | 0.855184 | + | 0.644636i | ||||
\(743\) | −0.840378 | + | 2.86206i | −0.0308305 | + | 0.104999i | −0.973471 | − | 0.228811i | \(-0.926516\pi\) |
0.942640 | + | 0.333810i | \(0.108334\pi\) | |||||||
\(744\) | −0.426277 | − | 0.219761i | −0.0156281 | − | 0.00805684i | ||||
\(745\) | −0.000161146 | 0.00168760i | −5.90395e−6 | 6.18289e-5i | ||||||
\(746\) | 22.0933 | + | 5.35977i | 0.808893 | + | 0.196235i | ||||
\(747\) | 5.13215 | + | 0.989141i | 0.187776 | + | 0.0361908i | ||||
\(748\) | −8.90712 | − | 7.71806i | −0.325677 | − | 0.282200i | ||||
\(749\) | 23.5607 | − | 0.482375i | 0.860888 | − | 0.0176256i | ||||
\(750\) | 0.00122190 | 0.000558023i | 4.46175e−5 | 2.03761e-5i | ||||||
\(751\) | −9.28408 | + | 18.0086i | −0.338781 | + | 0.657143i | −0.995265 | − | 0.0971964i | \(-0.969013\pi\) |
0.656484 | + | 0.754340i | \(0.272043\pi\) | |||||||
\(752\) | 1.12891 | + | 1.18396i | 0.0411670 | + | 0.0431747i | ||||
\(753\) | 10.0089 | − | 25.0011i | 0.364745 | − | 0.911089i | ||||
\(754\) | −0.168405 | − | 1.76362i | −0.00613295 | − | 0.0642272i | ||||
\(755\) | −7.67974e−5 | 0 | 0.000534138i | −2.79494e−6 | 0 | 1.94393e-5i | ||||
\(756\) | −0.813981 | + | 2.51743i | −0.0296042 | + | 0.0915579i | ||||
\(757\) | −1.50636 | + | 1.30527i | −0.0547498 | + | 0.0474409i | −0.681806 | − | 0.731533i | \(-0.738805\pi\) |
0.627056 | + | 0.778974i | \(0.284260\pi\) | |||||||
\(758\) | 8.11192 | − | 4.68342i | 0.294638 | − | 0.170109i | ||||
\(759\) | −0.944131 | − | 11.0632i | −0.0342698 | − | 0.401570i | ||||
\(760\) | −0.000177314 | 0 | 0.000307116i | −6.43185e−6 | 0 | 1.11403e-5i | ||||
\(761\) | −43.2709 | − | 14.9762i | −1.56857 | − | 0.542887i | −0.601824 | − | 0.798628i | \(-0.705559\pi\) |
−0.966745 | + | 0.255741i | \(0.917680\pi\) | |||||||
\(762\) | 2.30764 | − | 3.59076i | 0.0835971 | − | 0.130080i | ||||
\(763\) | −20.8241 | + | 2.41954i | −0.753883 | + | 0.0875932i | ||||
\(764\) | −11.6632 | − | 5.32642i | −0.421961 | − | 0.192703i | ||||
\(765\) | −0.000537511 | 0 | 0.000422704i | −1.94338e−5 | 0 | 1.52829e-5i | ||||
\(766\) | 15.7574 | − | 15.0247i | 0.569339 | − | 0.542864i | ||||
\(767\) | −0.244514 | − | 5.13297i | −0.00882888 | − | 0.185341i | ||||
\(768\) | −0.814576 | − | 0.580057i | −0.0293935 | − | 0.0209310i | ||||
\(769\) | −25.0851 | + | 7.36564i | −0.904591 | + | 0.265612i | −0.700762 | − | 0.713395i | \(-0.747157\pi\) |
−0.203829 | + | 0.979007i | \(0.565339\pi\) | |||||||
\(770\) | 0.000682962 | 0 | 0.000458934i | 2.46122e−5 | 0 | 1.65388e-5i | ||||
\(771\) | −8.33513 | + | 9.61925i | −0.300182 | + | 0.346429i | ||||
\(772\) | −17.0698 | − | 16.2760i | −0.614355 | − | 0.585786i | ||||
\(773\) | −37.7246 | − | 3.60226i | −1.35686 | − | 0.129564i | −0.608867 | − | 0.793272i | \(-0.708376\pi\) |
−0.747992 | + | 0.663708i | \(0.768982\pi\) | |||||||
\(774\) | 2.54327 | − | 0.121151i | 0.0914160 | − | 0.00435468i | ||||
\(775\) | −2.33036 | + | 0.565339i | −0.0837090 | + | 0.0203076i | ||||
\(776\) | −2.64598 | − | 18.4032i | −0.0949852 | − | 0.660637i | ||||
\(777\) | −23.3091 | + | 8.60558i | −0.836211 | + | 0.308723i | ||||
\(778\) | 29.0417 | + | 4.17557i | 1.04120 | + | 0.149702i | ||||
\(779\) | 15.5686 | + | 0.741622i | 0.557802 | + | 0.0265714i | ||||
\(780\) | −0.000695672 | 0 | 0.000134080i | −2.49090e−5 | 0 | 4.80082e-6i | ||||
\(781\) | −6.74516 | − | 3.89432i | −0.241361 | − | 0.139350i | ||||
\(782\) | −24.1987 | + | 3.23097i | −0.865345 | + | 0.115539i | ||||
\(783\) | 0.335909i | 0.0120044i | ||||||||
\(784\) | −6.59962 | − | 2.33347i | −0.235701 | − | 0.0833382i | ||||
\(785\) | 0.00205558 | + | 0.00132104i | 7.33667e−5 | + | 4.71499e-5i | ||||
\(786\) | 10.3802 | − | 4.15559i | 0.370248 | − | 0.148225i | ||||
\(787\) | −25.0220 | − | 35.1385i | −0.891938 | − | 1.25255i | −0.966846 | − | 0.255362i | \(-0.917805\pi\) |
0.0749073 | − | 0.997190i | \(-0.476134\pi\) | |||||||
\(788\) | −18.3456 | − | 7.34448i | −0.653536 | − | 0.261636i | ||||
\(789\) | −2.15449 | − | 8.88093i | −0.0767019 | − | 0.316170i | ||||
\(790\) | 0.000191572 | 0 | 0.000298092i | 6.81582e−6 | 0 | 1.06056e-5i | ||||
\(791\) | 34.1390 | + | 12.8628i | 1.21384 | + | 0.457349i | ||||
\(792\) | 0.652275 | + | 2.22145i | 0.0231776 | + | 0.0789356i | ||||
\(793\) | −6.57403 | + | 34.1093i | −0.233451 | + | 1.21126i | ||||
\(794\) | −12.8717 | + | 4.45495i | −0.456800 | + | 0.158100i | ||||
\(795\) | 0.000349183 | − | 0.00143935i | 1.23842e−5 | − | 5.10486e-5i | ||||
\(796\) | 7.28943 | − | 10.2366i | 0.258367 | − | 0.362826i | ||||
\(797\) | 30.3850 | − | 19.5272i | 1.07629 | − | 0.691690i | 0.122593 | − | 0.992457i | \(-0.460879\pi\) |
0.953698 | + | 0.300767i | \(0.0972426\pi\) | |||||||
\(798\) | −5.95202 | − | 3.65518i | −0.210699 | − | 0.129392i | ||||
\(799\) | −8.24294 | + | 1.18516i | −0.291614 | + | 0.0419278i | ||||
\(800\) | −4.97736 | + | 0.475280i | −0.175976 | + | 0.0168037i | ||||
\(801\) | −5.85093 | − | 4.60122i | −0.206732 | − | 0.162576i | ||||
\(802\) | 3.28063 | + | 6.36354i | 0.115843 | + | 0.224704i | ||||
\(803\) | −10.4552 | + | 30.2084i | −0.368957 | + | 1.06603i | ||||
\(804\) | 1.65374 | 0.0583229 | ||||||||
\(805\) | 0.000225002 | − | 0.00168953i | 7.93027e−6 | − | 5.95481e-5i | ||||
\(806\) | 2.52944 | 0.0890958 | ||||||||
\(807\) | 1.34278 | − | 3.87970i | 0.0472680 | − | 0.136572i | ||||
\(808\) | 3.38772 | + | 6.57126i | 0.119180 | + | 0.231176i | ||||
\(809\) | −21.6268 | − | 17.0075i | −0.760358 | − | 0.597952i | 0.160870 | − | 0.986976i | \(-0.448570\pi\) |
−0.921228 | + | 0.389023i | \(0.872813\pi\) | |||||||
\(810\) | 0.000133721 | 0 | 1.27688e-5i | 4.69847e−6 | 0 | 4.48650e-7i | ||||
\(811\) | 47.5021 | − | 6.82978i | 1.66803 | − | 0.239826i | 0.757368 | − | 0.652988i | \(-0.226485\pi\) |
0.910657 | + | 0.413162i | \(0.135576\pi\) | |||||||
\(812\) | −0.888404 | − | 0.0241074i | −0.0311769 | − | 0.000846005i | ||||
\(813\) | 18.9861 | − | 12.2016i | 0.665872 | − | 0.427930i | ||||
\(814\) | −12.6121 | + | 17.7113i | −0.442056 | + | 0.620780i | ||||
\(815\) | −0.000598251 | 0.00246602i | −2.09558e−5 | 8.63810e-5i | ||||||
\(816\) | 4.81058 | − | 1.66496i | 0.168404 | − | 0.0582852i | ||||
\(817\) | −1.27211 | + | 6.60035i | −0.0445056 | + | 0.230917i | ||||
\(818\) | 0.390305 | + | 1.32926i | 0.0136467 | + | 0.0464763i | ||||
\(819\) | −2.26819 | − | 13.7686i | −0.0792570 | − | 0.481113i | ||||
\(820\) | −0.000428763 | 0 | 0.000667169i | −1.49731e−5 | 0 | 2.32985e-5i | ||||
\(821\) | −1.02773 | − | 4.23634i | −0.0358679 | − | 0.147849i | 0.951062 | − | 0.309001i | \(-0.0999945\pi\) |
−0.986930 | + | 0.161151i | \(0.948479\pi\) | |||||||
\(822\) | −3.97064 | − | 1.58960i | −0.138492 | − | 0.0554438i | ||||
\(823\) | −7.92029 | − | 11.1225i | −0.276084 | − | 0.387705i | 0.653131 | − | 0.757245i | \(-0.273455\pi\) |
−0.929215 | + | 0.369539i | \(0.879516\pi\) | |||||||
\(824\) | −0.517273 | + | 0.207085i | −0.0180201 | + | 0.00721415i | ||||
\(825\) | 9.73847 | + | 6.25853i | 0.339050 | + | 0.217894i | ||||
\(826\) | −2.57065 | − | 0.192460i | −0.0894442 | − | 0.00669654i | ||||
\(827\) | 15.0984i | 0.525024i | 0.964929 | + | 0.262512i | \(0.0845509\pi\) | ||||
−0.964929 | + | 0.262512i | \(0.915449\pi\) | |||||||
\(828\) | 4.34217 | + | 2.03607i | 0.150901 | + | 0.0707584i | ||||
\(829\) | −39.0839 | − | 22.5651i | −1.35744 | − | 0.783718i | −0.368161 | − | 0.929762i | \(-0.620012\pi\) |
−0.989278 | + | 0.146044i | \(0.953346\pi\) | |||||||
\(830\) | 0.000689397 | 0 | 0.000132870i | 2.39293e−5 | 0 | 4.61200e-6i | ||||
\(831\) | 3.40586 | + | 0.162241i | 0.118148 | + | 0.00562808i | ||||
\(832\) | 5.22049 | + | 0.750593i | 0.180988 | + | 0.0260221i | ||||
\(833\) | 29.1635 | − | 20.4760i | 1.01046 | − | 0.709451i | ||||
\(834\) | −0.319754 | − | 2.22394i | −0.0110722 | − | 0.0770086i | ||||
\(835\) | −0.000242128 | 0 | 5.87397e-5i | −8.37919e−6 | 0 | 2.03277e-6i | ||||
\(836\) | −6.10526 | + | 0.290829i | −0.211155 | + | 0.0100585i | ||||
\(837\) | −0.477419 | − | 0.0455880i | −0.0165020 | − | 0.00157575i | ||||
\(838\) | −0.0806684 | − | 0.0769171i | −0.00278664 | − | 0.00265706i | ||||
\(839\) | −16.0244 | + | 18.4931i | −0.553223 | + | 0.638454i | −0.961631 | − | 0.274346i | \(-0.911539\pi\) |
0.408408 | + | 0.912800i | \(0.366084\pi\) | |||||||
\(840\) | 2.41738e−5 | 0 | 0.000354578i | 8.34074e−7 | 0 | 1.22341e-5i | ||||
\(841\) | 27.7170 | − | 8.13845i | 0.955760 | − | 0.280636i | ||||
\(842\) | −9.90609 | − | 7.05409i | −0.341386 | − | 0.243100i | ||||
\(843\) | −0.222761 | − | 4.67633i | −0.00767229 | − | 0.161061i | ||||
\(844\) | 8.63452 | − | 8.23300i | 0.297213 | − | 0.283392i | ||||
\(845\) | 0.00156451 | − | 0.00123034i | 5.38208e−5 | − | 4.23252e-5i | ||||
\(846\) | 1.48808 | + | 0.679582i | 0.0511611 | + | 0.0233645i | ||||
\(847\) | −13.6969 | − | 5.91940i | −0.470632 | − | 0.203393i | ||||
\(848\) | −5.96106 | + | 9.27560i | −0.204704 | + | 0.318525i | ||||
\(849\) | −7.35224 | − | 2.54464i | −0.252328 | − | 0.0873317i | ||||
\(850\) | 12.7264 | − | 22.0428i | 0.436512 | − | 0.756061i | ||||
\(851\) | 10.1772 | + | 43.8741i | 0.348870 | + | 1.50398i | ||||
\(852\) | 2.91339 | − | 1.68205i | 0.0998111 | − | 0.0576259i | ||||
\(853\) | −5.15630 | + | 4.46796i | −0.176548 | + | 0.152980i | −0.738652 | − | 0.674086i | \(-0.764538\pi\) |
0.562104 | + | 0.827067i | \(0.309992\pi\) | |||||||
\(854\) | 16.5804 | + | 5.36109i | 0.567371 | + | 0.183453i | ||||
\(855\) | −5.04688e−5 | 0 | 0.000351018i | −1.72600e−6 | 0 | 1.20046e-5i | ||||
\(856\) | 0.846660 | + | 8.86663i | 0.0289383 | + | 0.303055i | ||||
\(857\) | 14.8985 | − | 37.2147i | 0.508923 | − | 1.27123i | −0.422193 | − | 0.906506i | \(-0.638739\pi\) |
0.931116 | − | 0.364723i | \(-0.118836\pi\) | |||||||
\(858\) | −8.42649 | − | 8.83745i | −0.287676 | − | 0.301706i | ||||
\(859\) | 14.5705 | − | 28.2628i | 0.497139 | − | 0.964315i | −0.498125 | − | 0.867105i | \(-0.665978\pi\) |
0.995264 | − | 0.0972099i | \(-0.0309918\pi\) | |||||||
\(860\) | 0.000311115 | 0 | 0.000142081i | 1.06089e−5 | 0 | 4.84494e-6i | ||||
\(861\) | 13.3648 | − | 8.08538i | 0.455472 | − | 0.275549i | ||||
\(862\) | 22.3213 | + | 19.3415i | 0.760267 | + | 0.658775i | ||||
\(863\) | −55.7200 | − | 10.7392i | −1.89673 | − | 0.365565i | −0.899310 | − | 0.437313i | \(-0.855930\pi\) |
−0.997423 | + | 0.0717474i | \(0.977142\pi\) | |||||||
\(864\) | −0.971812 | − | 0.235759i | −0.0330617 | − | 0.00802068i | ||||
\(865\) | 7.67835e−5 | 0 | 0.000804114i | 2.61072e−6 | 0 | 2.73407e-5i | ||||
\(866\) | 7.54766 | + | 3.89109i | 0.256480 | + | 0.132225i | ||||
\(867\) | −2.51131 | + | 8.55273i | −0.0852885 | + | 0.290466i | ||||
\(868\) | 0.154833 | − | 1.25940i | 0.00525539 | − | 0.0427467i | ||||
\(869\) | −2.53705 | + | 5.55536i | −0.0860635 | + | 0.188453i | ||||
\(870\) | 1.67703e−5 | 0 | 4.18901e-5i | 5.68566e−7 | 0 | 1.42021e-6i | ||||
\(871\) | −7.75252 | + | 3.99670i | −0.262684 | + | 0.135423i | ||||
\(872\) | −1.49957 | − | 7.78053i | −0.0507820 | − | 0.263482i | ||||
\(873\) | −9.29623 | − | 16.1015i | −0.314630 | − | 0.544954i | ||||
\(874\) | −7.92626 | + | 9.87289i | −0.268110 | + | 0.333955i | ||||
\(875\) | 0.00250469 | + | 0.00252142i | 8.46739e−5 | + | 8.52395e-5i | ||||
\(876\) | −9.04172 | − | 10.4347i | −0.305491 | − | 0.352556i | ||||
\(877\) | −1.68475 | + | 35.3673i | −0.0568900 | + | 1.19427i | 0.772284 | + | 0.635277i | \(0.219114\pi\) |
−0.829174 | + | 0.558991i | \(0.811189\pi\) | |||||||
\(878\) | 10.4908 | − | 13.3402i | 0.354049 | − | 0.450210i | ||||
\(879\) | −17.0190 | + | 12.1192i | −0.574037 | + | 0.408770i | ||||
\(880\) | 0.000192249 | 0 | 0.000244464i | 6.48071e−6 | 0 | 8.24090e-6i | ||||
\(881\) | −47.6911 | − | 14.0034i | −1.60675 | − | 0.471786i | −0.649339 | − | 0.760499i | \(-0.724954\pi\) |
−0.957416 | + | 0.288713i | \(0.906773\pi\) | |||||||
\(882\) | −6.99413 | + | 0.286512i | −0.235505 | + | 0.00964737i | ||||
\(883\) | −20.4753 | − | 44.8347i | −0.689049 | − | 1.50881i | −0.852762 | − | 0.522299i | \(-0.825074\pi\) |
0.163713 | − | 0.986508i | \(-0.447653\pi\) | |||||||
\(884\) | −18.5276 | + | 19.4312i | −0.623150 | + | 0.653541i | ||||
\(885\) | 4.28070e−5 | 0 | 0.000123683i | 1.43894e−6 | 0 | 4.15755e-6i | ||||
\(886\) | 10.6342 | + | 30.7254i | 0.357262 | + | 1.03224i | ||||
\(887\) | −11.0202 | + | 11.5577i | −0.370023 | + | 0.388069i | −0.882250 | − | 0.470781i | \(-0.843972\pi\) |
0.512227 | + | 0.858850i | \(0.328821\pi\) | |||||||
\(888\) | −3.90128 | − | 8.54261i | −0.130918 | − | 0.286671i | ||||
\(889\) | 11.0269 | + | 2.43722i | 0.369829 | + | 0.0817417i | ||||
\(890\) | −0.000959367 | 0 | 0.000281695i | −3.21580e−5 | 0 | 9.44245e-6i | ||||
\(891\) | 1.43118 | + | 1.81989i | 0.0479463 | + | 0.0609687i | ||||
\(892\) | 20.4084 | − | 14.5327i | 0.683323 | − | 0.486592i | ||||
\(893\) | −2.66970 | + | 3.39480i | −0.0893380 | + | 0.113603i | ||||
\(894\) | 0.600500 | − | 12.6060i | 0.0200837 | − | 0.421609i | ||||
\(895\) | 0.00193148 | + | 0.00222904i | 6.45621e−5 | + | 7.45087e-5i | ||||
\(896\) | 0.693275 | − | 2.55331i | 0.0231607 | − | 0.0853000i | ||||
\(897\) | −25.2762 | + | 0.949148i | −0.843948 | + | 0.0316911i | ||||
\(898\) | −20.5377 | − | 35.5723i | −0.685352 | − | 1.18706i | ||||
\(899\) | −0.0304881 | − | 0.158188i | −0.00101684 | − | 0.00527585i | ||||
\(900\) | −4.44418 | + | 2.29113i | −0.148139 | + | 0.0763711i | ||||
\(901\) | −20.8607 | − | 52.1075i | −0.694971 | − | 1.73595i | ||||
\(902\) | 5.67825 | − | 12.4336i | 0.189065 | − | 0.413995i | ||||
\(903\) | 2.63119 | + | 6.20139i | 0.0875606 | + | 0.206369i | ||||
\(904\) | −3.88476 | + | 13.2303i | −0.129205 | + | 0.440033i | ||||
\(905\) | 0.000919134 | 0 | 0.000473846i | 3.05530e−5 | 0 | 1.57512e-5i | ||||
\(906\) | 0.381862 | − | 3.99904i | 0.0126865 | − | 0.132859i | ||||
\(907\) | −38.8731 | − | 9.43050i | −1.29076 | − | 0.313135i | −0.469116 | − | 0.883137i | \(-0.655427\pi\) |
−0.821643 | + | 0.570002i | \(0.806942\pi\) | |||||||
\(908\) | 23.0769 | + | 4.44770i | 0.765833 | + | 0.147602i | ||||
\(909\) | 5.58734 | + | 4.84146i | 0.185320 | + | 0.160581i | ||||
\(910\) | −0.000970256 | − | 0.00160379i | −3.21637e−5 | − | 5.31653e-5i | ||||
\(911\) | 49.0993 | − | 22.4229i | 1.62673 | − | 0.742904i | 0.627375 | − | 0.778717i | \(-0.284129\pi\) |
0.999359 | + | 0.0358127i | \(0.0114020\pi\) | |||||||
\(912\) | 1.20971 | − | 2.34652i | 0.0400576 | − | 0.0777009i | ||||
\(913\) | 8.35049 | + | 8.75774i | 0.276361 | + | 0.289839i | ||||
\(914\) | 11.8061 | − | 29.4901i | 0.390510 | − | 0.975446i | ||||
\(915\) | −8.40986e−5 | 0 | 0.000880721i | −2.78021e−6 | 0 | 2.91157e-5i | ||||
\(916\) | 2.14222 | − | 14.8995i | 0.0707811 | − | 0.492293i | ||||
\(917\) | 19.8259 | + | 21.9556i | 0.654709 | + | 0.725039i | ||||
\(918\) | 3.84719 | − | 3.33361i | 0.126976 | − | 0.110025i | ||||
\(919\) | 20.6184 | − | 11.9040i | 0.680138 | − | 0.392678i | −0.119769 | − | 0.992802i | \(-0.538215\pi\) |
0.799907 | + | 0.600124i | \(0.204882\pi\) | |||||||
\(920\) | 0.000643149 | 0 | 3.71292e-5i | 2.12040e−5 | 0 | 1.22411e-6i | ||||
\(921\) | 16.2109 | − | 28.0780i | 0.534166 | − | 0.925202i | ||||
\(922\) | 15.8427 | + | 5.48322i | 0.521753 | + | 0.180580i | ||||
\(923\) | −9.59248 | + | 14.9262i | −0.315740 | + | 0.491301i | ||||
\(924\) | −4.91592 | + | 3.65454i | −0.161722 | + | 0.120226i | ||||
\(925\) | −42.7130 | − | 19.5064i | −1.40440 | − | 0.641366i | ||||
\(926\) | 7.31874 | − | 5.75552i | 0.240509 | − | 0.189138i | ||||
\(927\) | −0.403254 | + | 0.384502i | −0.0132446 | + | 0.0126287i | ||||
\(928\) | −0.0159832 | − | 0.335528i | −0.000524674 | − | 0.0110143i | ||||
\(929\) | 29.5227 | + | 21.0230i | 0.968608 | + | 0.689742i | 0.950705 | − | 0.310097i | \(-0.100362\pi\) |
0.0179028 | + | 0.999840i | \(0.494301\pi\) | |||||||
\(930\) | −6.18134e−5 | 0 | 1.81501e-5i | −2.02694e−6 | 0 | 5.95164e-7i | ||||
\(931\) | 3.61809 | − | 18.1223i | 0.118578 | − | 0.593934i | ||||
\(932\) | 2.24569 | − | 2.59166i | 0.0735599 | − | 0.0848926i | ||||
\(933\) | −10.5091 | − | 10.0204i | −0.344052 | − | 0.328053i | ||||
\(934\) | 17.7966 | + | 1.69937i | 0.582322 | + | 0.0556050i | ||||
\(935\) | −0.00158138 | 7.53306e-5i | −5.17168e−5 | 2.46357e-6i | ||||||
\(936\) | 5.12550 | − | 1.24343i | 0.167532 | − | 0.0406429i | ||||
\(937\) | 2.55583 | + | 17.7762i | 0.0834954 | + | 0.580724i | 0.988023 | + | 0.154308i | \(0.0493148\pi\) |
−0.904527 | + | 0.426416i | \(0.859776\pi\) | |||||||
\(938\) | 1.51538 | + | 4.10458i | 0.0494790 | + | 0.134019i | ||||
\(939\) | 15.1677 | + | 2.18078i | 0.494979 | + | 0.0711672i | ||||
\(940\) | 0.000219501 | 0 | 1.04561e-5i | 7.15935e−6 | 0 | 3.41042e-7i | ||||
\(941\) | −32.9964 | + | 6.35954i | −1.07565 | + | 0.207315i | −0.696165 | − | 0.717882i | \(-0.745112\pi\) |
−0.379488 | + | 0.925197i | \(0.623900\pi\) | |||||||
\(942\) | −15.7532 | − | 9.09509i | −0.513266 | − | 0.296334i | ||||
\(943\) | −11.5022 | − | 25.8725i | −0.374564 | − | 0.842524i | ||||
\(944\) | − | 0.974332i | − | 0.0317118i | ||||||
\(945\) | 0.000154226 | 0 | 0.000320195i | 5.01696e−6 | 0 | 1.04159e-5i | ||||
\(946\) | 4.95913 | + | 3.18704i | 0.161235 | + | 0.103620i | ||||
\(947\) | 6.15227 | − | 2.46300i | 0.199922 | − | 0.0800366i | −0.269541 | − | 0.962989i | \(-0.586872\pi\) |
0.469463 | + | 0.882952i | \(0.344448\pi\) | |||||||
\(948\) | −1.53011 | − | 2.14874i | −0.0496957 | − | 0.0697879i | ||||
\(949\) | 67.6046 | + | 27.0648i | 2.19454 | + | 0.878561i | ||||
\(950\) | −3.11201 | − | 12.8279i | −0.100967 | − | 0.416191i | ||||
\(951\) | 10.4427 | + | 16.2492i | 0.338629 | + | 0.526916i | ||||
\(952\) | 8.54055 | + | 10.4142i | 0.276801 | + | 0.337526i | ||||
\(953\) | 4.50929 | + | 15.3572i | 0.146070 | + | 0.497469i | 0.999727 | − | 0.0233666i | \(-0.00743850\pi\) |
−0.853657 | + | 0.520836i | \(0.825620\pi\) | |||||||
\(954\) | −2.08667 | + | 10.8267i | −0.0675584 | + | 0.350526i | ||||
\(955\) | −0.00162763 | 0.000563328i | −5.26689e−5 | 1.82289e-5i | ||||||
\(956\) | −1.65126 | + | 6.80660i | −0.0534057 | + | 0.220141i | ||||
\(957\) | −0.451114 | + | 0.633500i | −0.0145824 | + | 0.0204782i | ||||
\(958\) | 32.4291 | − | 20.8409i | 1.04774 | − | 0.673339i | ||||
\(959\) | 0.306952 | − | 11.3117i | 0.00991199 | − | 0.365275i | ||||
\(960\) | −0.000132962 | 0 | 1.91170e-5i | −4.29132e−6 | 0 | 6.16999e-7i | ||||
\(961\) | −30.6307 | + | 2.92487i | −0.988086 | + | 0.0943508i | ||||
\(962\) | 38.9341 | + | 30.6182i | 1.25529 | + | 0.987169i | ||||
\(963\) | 4.08141 | + | 7.91682i | 0.131521 | + | 0.255116i | ||||
\(964\) | 4.04293 | − | 11.6813i | 0.130214 | − | 0.376229i | ||||
\(965\) | −0.00316825 | −0.000101989 | ||||||||
\(966\) | −1.07464 | + | 12.6430i | −0.0345761 | + | 0.406781i | ||||
\(967\) | −15.7637 | −0.506925 | −0.253462 | − | 0.967345i | \(-0.581569\pi\) | ||||
−0.253462 | + | 0.967345i | \(0.581569\pi\) | |||||||
\(968\) | 1.84457 | − | 5.32954i | 0.0592868 | − | 0.171298i | ||||
\(969\) | 6.15812 | + | 11.9451i | 0.197827 | + | 0.383731i | ||||
\(970\) | −0.00196317 | − | 0.00154386i | −6.30337e−5 | − | 4.95703e-5i | ||||
\(971\) | −13.8561 | + | 1.32309i | −0.444662 | + | 0.0424601i | −0.314986 | − | 0.949096i | \(-0.602000\pi\) |
−0.129676 | + | 0.991556i | \(0.541394\pi\) | |||||||
\(972\) | −0.989821 | + | 0.142315i | −0.0317485 | + | 0.00456475i | ||||
\(973\) | 5.22681 | − | 2.83150i | 0.167564 | − | 0.0907738i | ||||
\(974\) | −23.1028 | + | 14.8472i | −0.740260 | + | 0.475736i | ||||
\(975\) | 15.2966 | − | 21.4811i | 0.489883 | − | 0.687945i | ||||
\(976\) | −1.55277 | + | 6.40061i | −0.0497030 | + | 0.204878i | ||||
\(977\) | 8.20109 | − | 2.83843i | 0.262376 | − | 0.0908093i | −0.192713 | − | 0.981255i | \(-0.561729\pi\) |
0.455089 | + | 0.890446i | \(0.349607\pi\) | |||||||
\(978\) | 3.57506 | − | 18.5492i | 0.114318 | − | 0.593138i | ||||
\(979\) | −4.85516 | − | 16.5352i | −0.155172 | − | 0.528466i | ||||
\(980\) | −0.000857912 | 0 | 0.000384913i | −2.74050e−5 | 0 | 1.22956e-5i | ||||
\(981\) | −4.28389 | − | 6.66586i | −0.136774 | − | 0.212824i | ||||
\(982\) | −6.77966 | − | 27.9462i | −0.216348 | − | 0.891798i | ||||
\(983\) | −16.3309 | − | 6.53789i | −0.520873 | − | 0.208526i | 0.0963016 | − | 0.995352i | \(-0.469299\pi\) |
−0.617175 | + | 0.786826i | \(0.711723\pi\) | |||||||
\(984\) | 3.42459 | + | 4.80917i | 0.109172 | + | 0.153311i | ||||
\(985\) | −0.00246435 | 0.000986577i | −7.85207e−5 | 3.14350e-5i | ||||||
\(986\) | 1.43851 | + | 0.924477i | 0.0458116 | + | 0.0294413i | ||||
\(987\) | −0.323142 | + | 4.31613i | −0.0102857 | + | 0.137384i | ||||
\(988\) | 13.9238i | 0.442974i | ||||||||
\(989\) | 11.7503 | − | 3.32210i | 0.373639 | − | 0.105637i | ||||
\(990\) | 0.000269336 | 0 | 0.000155501i | 8.56006e−6 | 0 | 4.94215e-6i | ||||
\(991\) | −2.40632 | + | 0.463780i | −0.0764393 | + | 0.0147325i | −0.227327 | − | 0.973818i | \(-0.572999\pi\) |
0.150888 | + | 0.988551i | \(0.451787\pi\) | |||||||
\(992\) | 0.479048 | + | 0.0228198i | 0.0152098 | + | 0.000724531i | ||||
\(993\) | 22.3548 | + | 3.21414i | 0.709409 | + | 0.101998i | ||||
\(994\) | 6.84449 | + | 5.68971i | 0.217094 | + | 0.180467i | ||||
\(995\) | −0.000240239 | − | 0.00167090i | −7.61608e−6 | − | 5.29710e-5i | ||||
\(996\) | −5.07927 | + | 1.23222i | −0.160943 | + | 0.0390443i | ||||
\(997\) | 9.30769 | − | 0.443380i | 0.294778 | − | 0.0140420i | 0.100328 | − | 0.994954i | \(-0.468011\pi\) |
0.194450 | + | 0.980912i | \(0.437708\pi\) | |||||||
\(998\) | 35.5380 | + | 3.39347i | 1.12494 | + | 0.107418i | ||||
\(999\) | −6.79679 | − | 6.48072i | −0.215041 | − | 0.205041i |
(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 | 966.2.be.a.493.13 | yes | 320 | |
7.5 | odd | 6 | inner | 966.2.be.a.355.13 | yes | 320 | |
23.7 | odd | 22 | inner | 966.2.be.a.283.13 | yes | 320 | |
161.145 | even | 66 | inner | 966.2.be.a.145.13 | ✓ | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.be.a.145.13 | ✓ | 320 | 161.145 | even | 66 | inner | |
966.2.be.a.283.13 | yes | 320 | 23.7 | odd | 22 | inner | |
966.2.be.a.355.13 | yes | 320 | 7.5 | odd | 6 | inner | |
966.2.be.a.493.13 | yes | 320 | 1.1 | even | 1 | trivial |