Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(5,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([35, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bn (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 101.36 | ||
Character | \(\chi\) | \(=\) | 441.101 |
Dual form | 441.2.bn.a.131.36 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{42}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.787086 | − | 0.627680i | 0.556554 | − | 0.443837i | −0.304382 | − | 0.952550i | \(-0.598450\pi\) |
0.860936 | + | 0.508713i | \(0.169879\pi\) | |||||||
\(3\) | −1.00454 | − | 1.41099i | −0.579972 | − | 0.814636i | ||||
\(4\) | −0.219520 | + | 0.961780i | −0.109760 | + | 0.480890i | ||||
\(5\) | −0.00591098 | + | 0.0788765i | −0.00264347 | + | 0.0352747i | −0.998370 | − | 0.0570811i | \(-0.981821\pi\) |
0.995726 | + | 0.0923557i | \(0.0294397\pi\) | |||||||
\(6\) | −1.67631 | − | 0.480041i | −0.684351 | − | 0.195976i | ||||
\(7\) | 2.62017 | + | 0.367026i | 0.990331 | + | 0.138723i | ||||
\(8\) | 1.30451 | + | 2.70884i | 0.461213 | + | 0.957719i | ||||
\(9\) | −0.981794 | + | 2.83480i | −0.327265 | + | 0.944933i | ||||
\(10\) | 0.0448568 | + | 0.0657928i | 0.0141850 | + | 0.0208055i | ||||
\(11\) | 4.74222 | + | 1.86119i | 1.42983 | + | 0.561168i | 0.948897 | − | 0.315587i | \(-0.102201\pi\) |
0.480937 | + | 0.876755i | \(0.340296\pi\) | |||||||
\(12\) | 1.57758 | − | 0.656406i | 0.455408 | − | 0.189488i | ||||
\(13\) | 0.190281 | + | 0.0746796i | 0.0527743 | + | 0.0207124i | 0.391581 | − | 0.920143i | \(-0.371928\pi\) |
−0.338807 | + | 0.940856i | \(0.610023\pi\) | |||||||
\(14\) | 2.29267 | − | 1.35575i | 0.612743 | − | 0.362339i | ||||
\(15\) | 0.117232 | − | 0.0708944i | 0.0302692 | − | 0.0183049i | ||||
\(16\) | 0.949409 | + | 0.457211i | 0.237352 | + | 0.114303i | ||||
\(17\) | −6.52461 | − | 2.01258i | −1.58245 | − | 0.488121i | −0.625953 | − | 0.779861i | \(-0.715290\pi\) |
−0.956498 | + | 0.291740i | \(0.905766\pi\) | |||||||
\(18\) | 1.00659 | + | 2.84748i | 0.237256 | + | 0.671158i | ||||
\(19\) | 1.26613 | − | 0.731003i | 0.290471 | − | 0.167704i | −0.347683 | − | 0.937612i | \(-0.613032\pi\) |
0.638154 | + | 0.769909i | \(0.279698\pi\) | |||||||
\(20\) | −0.0745643 | − | 0.0230000i | −0.0166731 | − | 0.00514296i | ||||
\(21\) | −2.11420 | − | 4.06573i | −0.461356 | − | 0.887215i | ||||
\(22\) | 4.90077 | − | 1.51169i | 1.04485 | − | 0.322293i | ||||
\(23\) | 5.65774 | − | 6.09759i | 1.17972 | − | 1.27144i | 0.224856 | − | 0.974392i | \(-0.427809\pi\) |
0.954864 | − | 0.297044i | \(-0.0960007\pi\) | |||||||
\(24\) | 2.51172 | − | 4.56179i | 0.512702 | − | 0.931172i | ||||
\(25\) | 4.93797 | + | 0.744279i | 0.987594 | + | 0.148856i | ||||
\(26\) | 0.196642 | − | 0.0606560i | 0.0385647 | − | 0.0118956i | ||||
\(27\) | 4.98613 | − | 1.46237i | 0.959581 | − | 0.281433i | ||||
\(28\) | −0.928178 | + | 2.43946i | −0.175409 | + | 0.461014i | ||||
\(29\) | 1.19240 | − | 3.86567i | 0.221423 | − | 0.717837i | −0.774894 | − | 0.632092i | \(-0.782197\pi\) |
0.996317 | − | 0.0857456i | \(-0.0273272\pi\) | |||||||
\(30\) | 0.0477726 | − | 0.129384i | 0.00872204 | − | 0.0236222i | ||||
\(31\) | 7.08331i | 1.27220i | 0.771607 | + | 0.636100i | \(0.219453\pi\) | ||||
−0.771607 | + | 0.636100i | \(0.780547\pi\) | |||||||
\(32\) | −4.82816 | + | 1.10200i | −0.853506 | + | 0.194807i | ||||
\(33\) | −2.13764 | − | 8.56087i | −0.372116 | − | 1.49026i | ||||
\(34\) | −6.39868 | + | 2.51130i | −1.09737 | + | 0.430684i | ||||
\(35\) | −0.0444375 | + | 0.204500i | −0.00751131 | + | 0.0345669i | ||||
\(36\) | −2.51093 | − | 1.56656i | −0.418488 | − | 0.261094i | ||||
\(37\) | −1.30025 | + | 1.20646i | −0.213760 | + | 0.198341i | −0.779784 | − | 0.626048i | \(-0.784671\pi\) |
0.566024 | + | 0.824389i | \(0.308481\pi\) | |||||||
\(38\) | 0.537720 | − | 1.37009i | 0.0872298 | − | 0.222258i | ||||
\(39\) | −0.0857724 | − | 0.343503i | −0.0137346 | − | 0.0550045i | ||||
\(40\) | −0.221375 | + | 0.0868832i | −0.0350024 | + | 0.0137374i | ||||
\(41\) | 1.88999 | + | 1.28857i | 0.295167 | + | 0.201241i | 0.701844 | − | 0.712331i | \(-0.252360\pi\) |
−0.406677 | + | 0.913572i | \(0.633313\pi\) | |||||||
\(42\) | −4.21603 | − | 1.87304i | −0.650548 | − | 0.289016i | ||||
\(43\) | −7.26953 | + | 4.95628i | −1.10859 | + | 0.755826i | −0.972042 | − | 0.234807i | \(-0.924554\pi\) |
−0.136551 | + | 0.990633i | \(0.543602\pi\) | |||||||
\(44\) | −2.83106 | + | 4.15241i | −0.426799 | + | 0.625999i | ||||
\(45\) | −0.217796 | − | 0.0941969i | −0.0324671 | − | 0.0140420i | ||||
\(46\) | 0.625789 | − | 8.35058i | 0.0922676 | − | 1.23123i | ||||
\(47\) | −1.21875 | − | 1.52826i | −0.177773 | − | 0.222920i | 0.684959 | − | 0.728581i | \(-0.259820\pi\) |
−0.862732 | + | 0.505661i | \(0.831249\pi\) | |||||||
\(48\) | −0.308599 | − | 1.79890i | −0.0445425 | − | 0.259648i | ||||
\(49\) | 6.73058 | + | 1.92334i | 0.961512 | + | 0.274763i | ||||
\(50\) | 4.35377 | − | 2.51365i | 0.615717 | − | 0.355484i | ||||
\(51\) | 3.71451 | + | 11.2279i | 0.520136 | + | 1.57222i | ||||
\(52\) | −0.113596 | + | 0.166614i | −0.0157529 | + | 0.0231052i | ||||
\(53\) | −2.35934 | + | 2.54276i | −0.324080 | + | 0.349275i | −0.873986 | − | 0.485952i | \(-0.838473\pi\) |
0.549906 | + | 0.835227i | \(0.314664\pi\) | |||||||
\(54\) | 3.00661 | − | 4.28070i | 0.409148 | − | 0.582530i | ||||
\(55\) | −0.174835 | + | 0.363049i | −0.0235747 | + | 0.0489535i | ||||
\(56\) | 2.42382 | + | 7.57641i | 0.323896 | + | 1.01244i | ||||
\(57\) | −2.30332 | − | 1.05218i | −0.305083 | − | 0.139365i | ||||
\(58\) | −1.48788 | − | 3.79106i | −0.195369 | − | 0.497791i | ||||
\(59\) | −9.77304 | − | 4.70645i | −1.27234 | − | 0.612727i | −0.328930 | − | 0.944354i | \(-0.606688\pi\) |
−0.943411 | + | 0.331627i | \(0.892402\pi\) | |||||||
\(60\) | 0.0424500 | + | 0.128314i | 0.00548027 | + | 0.0165653i | ||||
\(61\) | 13.9930 | − | 3.19381i | 1.79162 | − | 0.408926i | 0.808000 | − | 0.589182i | \(-0.200550\pi\) |
0.983620 | + | 0.180256i | \(0.0576928\pi\) | |||||||
\(62\) | 4.44605 | + | 5.57517i | 0.564649 | + | 0.708048i | ||||
\(63\) | −3.61291 | + | 7.06731i | −0.455184 | + | 0.890397i | ||||
\(64\) | −4.42250 | + | 5.54564i | −0.552812 | + | 0.693205i | ||||
\(65\) | −0.00701521 | + | 0.0145672i | −0.000870130 | + | 0.00180684i | ||||
\(66\) | −7.05600 | − | 5.39639i | −0.868533 | − | 0.664249i | ||||
\(67\) | −10.2944 | −1.25766 | −0.628828 | − | 0.777545i | \(-0.716465\pi\) | ||||
−0.628828 | + | 0.777545i | \(0.716465\pi\) | |||||||
\(68\) | 3.36794 | − | 5.83344i | 0.408422 | − | 0.707408i | ||||
\(69\) | −14.2871 | − | 1.85774i | −1.71996 | − | 0.223645i | ||||
\(70\) | 0.0933847 | + | 0.188852i | 0.0111616 | + | 0.0225721i | ||||
\(71\) | 0.0500651 | + | 0.0114270i | 0.00594163 | + | 0.00135614i | 0.225491 | − | 0.974245i | \(-0.427601\pi\) |
−0.219549 | + | 0.975601i | \(0.570459\pi\) | |||||||
\(72\) | −8.95977 | + | 1.03850i | −1.05592 | + | 0.122388i | ||||
\(73\) | −7.84241 | + | 3.07792i | −0.917885 | + | 0.360243i | −0.776795 | − | 0.629754i | \(-0.783156\pi\) |
−0.141090 | + | 0.989997i | \(0.545061\pi\) | |||||||
\(74\) | −0.266141 | + | 1.76573i | −0.0309383 | + | 0.205262i | ||||
\(75\) | −3.91022 | − | 7.71509i | −0.451513 | − | 0.890862i | ||||
\(76\) | 0.425122 | + | 1.37821i | 0.0487648 | + | 0.158092i | ||||
\(77\) | 11.7423 | + | 6.61714i | 1.33816 | + | 0.754093i | ||||
\(78\) | −0.283120 | − | 0.216529i | −0.0320570 | − | 0.0245171i | ||||
\(79\) | −1.86861 | −0.210235 | −0.105118 | − | 0.994460i | \(-0.533522\pi\) | ||||
−0.105118 | + | 0.994460i | \(0.533522\pi\) | |||||||
\(80\) | −0.0416752 | + | 0.0721835i | −0.00465942 | + | 0.00807036i | ||||
\(81\) | −7.07216 | − | 5.56637i | −0.785796 | − | 0.618486i | ||||
\(82\) | 2.29640 | − | 0.172091i | 0.253595 | − | 0.0190043i | ||||
\(83\) | −3.83636 | − | 9.77489i | −0.421095 | − | 1.07293i | −0.971290 | − | 0.237897i | \(-0.923542\pi\) |
0.550195 | − | 0.835036i | \(-0.314553\pi\) | |||||||
\(84\) | 4.37445 | − | 1.14088i | 0.477291 | − | 0.124481i | ||||
\(85\) | 0.197312 | − | 0.502742i | 0.0214015 | − | 0.0545301i | ||||
\(86\) | −2.61078 | + | 8.46396i | −0.281528 | + | 0.912692i | ||||
\(87\) | −6.65225 | + | 2.20076i | −0.713196 | + | 0.235946i | ||||
\(88\) | 1.14462 | + | 15.2739i | 0.122017 | + | 1.62820i | ||||
\(89\) | 10.9069 | + | 1.64395i | 1.15613 | + | 0.174259i | 0.698987 | − | 0.715135i | \(-0.253635\pi\) |
0.457143 | + | 0.889393i | \(0.348873\pi\) | |||||||
\(90\) | −0.230549 | + | 0.0625649i | −0.0243020 | + | 0.00659492i | ||||
\(91\) | 0.471158 | + | 0.265511i | 0.0493908 | + | 0.0278331i | ||||
\(92\) | 4.62255 | + | 6.78004i | 0.481934 | + | 0.706868i | ||||
\(93\) | 9.99449 | − | 7.11548i | 1.03638 | − | 0.737841i | ||||
\(94\) | −1.91852 | − | 0.437890i | −0.197880 | − | 0.0451649i | ||||
\(95\) | 0.0501749 | + | 0.104189i | 0.00514783 | + | 0.0106896i | ||||
\(96\) | 6.40499 | + | 5.70549i | 0.653707 | + | 0.582314i | ||||
\(97\) | 1.21678 | + | 0.702508i | 0.123545 | + | 0.0713289i | 0.560499 | − | 0.828155i | \(-0.310609\pi\) |
−0.436954 | + | 0.899484i | \(0.643943\pi\) | |||||||
\(98\) | 6.50479 | − | 2.71082i | 0.657083 | − | 0.273834i | ||||
\(99\) | −9.93197 | + | 11.6159i | −0.998201 | + | 1.16745i | ||||
\(100\) | −1.79981 | + | 4.58585i | −0.179981 | + | 0.458585i | ||||
\(101\) | 1.08376 | + | 0.738898i | 0.107839 | + | 0.0735231i | 0.616039 | − | 0.787716i | \(-0.288737\pi\) |
−0.508200 | + | 0.861239i | \(0.669689\pi\) | |||||||
\(102\) | 9.97116 | + | 6.50578i | 0.987292 | + | 0.644169i | ||||
\(103\) | −10.5323 | − | 0.789289i | −1.03778 | − | 0.0777709i | −0.455074 | − | 0.890454i | \(-0.650387\pi\) |
−0.582707 | + | 0.812683i | \(0.698006\pi\) | |||||||
\(104\) | 0.0459275 | + | 0.612860i | 0.00450356 | + | 0.0600958i | ||||
\(105\) | 0.333188 | − | 0.142728i | 0.0325158 | − | 0.0139288i | ||||
\(106\) | −0.260961 | + | 3.48228i | −0.0253468 | + | 0.338229i | ||||
\(107\) | 1.14177 | − | 7.57516i | 0.110379 | − | 0.732318i | −0.863349 | − | 0.504607i | \(-0.831638\pi\) |
0.973729 | − | 0.227712i | \(-0.0731243\pi\) | |||||||
\(108\) | 0.311922 | + | 5.11658i | 0.0300147 | + | 0.492343i | ||||
\(109\) | −8.91551 | + | 1.34380i | −0.853951 | + | 0.128712i | −0.561407 | − | 0.827540i | \(-0.689740\pi\) |
−0.292544 | + | 0.956252i | \(0.594502\pi\) | |||||||
\(110\) | 0.0902682 | + | 0.395491i | 0.00860674 | + | 0.0377086i | ||||
\(111\) | 3.00846 | + | 0.622709i | 0.285551 | + | 0.0591049i | ||||
\(112\) | 2.31980 | + | 1.54643i | 0.219201 | + | 0.146124i | ||||
\(113\) | 2.26464 | − | 15.0249i | 0.213039 | − | 1.41342i | −0.585106 | − | 0.810957i | \(-0.698947\pi\) |
0.798145 | − | 0.602465i | \(-0.205815\pi\) | |||||||
\(114\) | −2.47335 | + | 0.617592i | −0.231650 | + | 0.0578428i | ||||
\(115\) | 0.447514 | + | 0.482305i | 0.0417309 | + | 0.0449752i | ||||
\(116\) | 3.45617 | + | 1.99542i | 0.320897 | + | 0.185270i | ||||
\(117\) | −0.398518 | + | 0.466087i | −0.0368430 | + | 0.0430898i | ||||
\(118\) | −10.6464 | + | 2.42996i | −0.980077 | + | 0.223696i | ||||
\(119\) | −16.3569 | − | 7.66800i | −1.49944 | − | 0.702924i | ||||
\(120\) | 0.344972 | + | 0.225080i | 0.0314914 | + | 0.0205469i | ||||
\(121\) | 10.9611 | + | 10.1704i | 0.996463 | + | 0.924583i | ||||
\(122\) | 9.00900 | − | 11.2969i | 0.815637 | − | 1.02278i | ||||
\(123\) | −0.0804069 | − | 3.96118i | −0.00725004 | − | 0.357168i | ||||
\(124\) | −6.81258 | − | 1.55493i | −0.611788 | − | 0.139637i | ||||
\(125\) | −0.175899 | + | 0.770663i | −0.0157329 | + | 0.0689302i | ||||
\(126\) | 1.59234 | + | 7.83033i | 0.141857 | + | 0.697582i | ||||
\(127\) | −0.799853 | − | 3.50438i | −0.0709755 | − | 0.310964i | 0.926962 | − | 0.375155i | \(-0.122410\pi\) |
−0.997938 | + | 0.0641910i | \(0.979553\pi\) | |||||||
\(128\) | − | 2.76384i | − | 0.244291i | ||||||
\(129\) | 14.2958 | + | 5.27845i | 1.25868 | + | 0.464742i | ||||
\(130\) | 0.00362199 | + | 0.0158690i | 0.000317670 | + | 0.00139180i | ||||
\(131\) | 5.58940 | − | 3.81079i | 0.488348 | − | 0.332950i | −0.293985 | − | 0.955810i | \(-0.594982\pi\) |
0.782334 | + | 0.622860i | \(0.214029\pi\) | |||||||
\(132\) | 8.70293 | − | 0.176658i | 0.757493 | − | 0.0153761i | ||||
\(133\) | 3.58578 | − | 1.45065i | 0.310927 | − | 0.125787i | ||||
\(134\) | −8.10254 | + | 6.46156i | −0.699953 | + | 0.558194i | ||||
\(135\) | 0.0858737 | + | 0.401933i | 0.00739083 | + | 0.0345928i | ||||
\(136\) | −3.05966 | − | 20.2995i | −0.262364 | − | 1.74067i | ||||
\(137\) | −18.6316 | + | 1.39625i | −1.59181 | + | 0.119290i | −0.840928 | − | 0.541148i | \(-0.817990\pi\) |
−0.750881 | + | 0.660437i | \(0.770371\pi\) | |||||||
\(138\) | −12.4112 | + | 7.50552i | −1.05651 | + | 0.638912i | ||||
\(139\) | −9.47810 | + | 13.9018i | −0.803922 | + | 1.17914i | 0.176900 | + | 0.984229i | \(0.443393\pi\) |
−0.980822 | + | 0.194908i | \(0.937559\pi\) | |||||||
\(140\) | −0.186929 | − | 0.0876310i | −0.0157984 | − | 0.00740617i | ||||
\(141\) | −0.932082 | + | 3.25485i | −0.0784955 | + | 0.274108i | ||||
\(142\) | 0.0465780 | − | 0.0224308i | 0.00390874 | − | 0.00188235i | ||||
\(143\) | 0.763360 | + | 0.708295i | 0.0638354 | + | 0.0592306i | ||||
\(144\) | −2.22823 | + | 2.24250i | −0.185685 | + | 0.186875i | ||||
\(145\) | 0.297863 | + | 0.116902i | 0.0247361 | + | 0.00970822i | ||||
\(146\) | −4.24070 | + | 7.34511i | −0.350963 | + | 0.607886i | ||||
\(147\) | −4.04733 | − | 11.4289i | −0.333818 | − | 0.942638i | ||||
\(148\) | −0.874916 | − | 1.51540i | −0.0719176 | − | 0.124565i | ||||
\(149\) | −1.40090 | − | 9.29436i | −0.114766 | − | 0.761423i | −0.969986 | − | 0.243159i | \(-0.921816\pi\) |
0.855220 | − | 0.518265i | \(-0.173422\pi\) | |||||||
\(150\) | −7.92029 | − | 3.61807i | −0.646689 | − | 0.295414i | ||||
\(151\) | 19.2568 | − | 5.93995i | 1.56710 | − | 0.483386i | 0.614833 | − | 0.788657i | \(-0.289223\pi\) |
0.952265 | + | 0.305271i | \(0.0987472\pi\) | |||||||
\(152\) | 3.63185 | + | 2.47615i | 0.294582 | + | 0.200843i | ||||
\(153\) | 12.1111 | − | 16.5200i | 0.979122 | − | 1.33556i | ||||
\(154\) | 13.3957 | − | 2.16216i | 1.07945 | − | 0.174232i | ||||
\(155\) | −0.558707 | − | 0.0418693i | −0.0448764 | − | 0.00336302i | ||||
\(156\) | 0.349203 | − | 0.00708836i | 0.0279586 | − | 0.000567523i | ||||
\(157\) | 2.16479 | − | 4.49524i | 0.172769 | − | 0.358759i | −0.796547 | − | 0.604577i | \(-0.793342\pi\) |
0.969316 | + | 0.245818i | \(0.0790565\pi\) | |||||||
\(158\) | −1.47076 | + | 1.17289i | −0.117007 | + | 0.0933102i | ||||
\(159\) | 5.95787 | + | 0.774697i | 0.472490 | + | 0.0614374i | ||||
\(160\) | −0.0583824 | − | 0.387342i | −0.00461554 | − | 0.0306221i | ||||
\(161\) | 17.0622 | − | 13.9002i | 1.34469 | − | 1.09549i | ||||
\(162\) | −9.06030 | + | 0.0578401i | −0.711845 | + | 0.00454435i | ||||
\(163\) | 0.0402880 | + | 0.537606i | 0.00315560 | + | 0.0421085i | 0.998559 | − | 0.0536592i | \(-0.0170885\pi\) |
−0.995404 | + | 0.0957677i | \(0.969469\pi\) | |||||||
\(164\) | −1.65421 | + | 1.53489i | −0.129172 | + | 0.119854i | ||||
\(165\) | 0.687888 | − | 0.118007i | 0.0535520 | − | 0.00918680i | ||||
\(166\) | −9.15505 | − | 5.28567i | −0.710569 | − | 0.410247i | ||||
\(167\) | −8.16328 | + | 7.57442i | −0.631694 | + | 0.586126i | −0.929646 | − | 0.368455i | \(-0.879887\pi\) |
0.297952 | + | 0.954581i | \(0.403697\pi\) | |||||||
\(168\) | 8.25542 | − | 11.0308i | 0.636920 | − | 0.851045i | ||||
\(169\) | −9.49904 | − | 8.81383i | −0.730696 | − | 0.677987i | ||||
\(170\) | −0.160260 | − | 0.519550i | −0.0122914 | − | 0.0398477i | ||||
\(171\) | 0.829163 | + | 4.30693i | 0.0634077 | + | 0.329359i | ||||
\(172\) | −3.17104 | − | 8.07969i | −0.241790 | − | 0.616070i | ||||
\(173\) | −0.148303 | + | 0.649758i | −0.0112753 | + | 0.0494002i | −0.980253 | − | 0.197749i | \(-0.936637\pi\) |
0.968977 | + | 0.247150i | \(0.0794939\pi\) | |||||||
\(174\) | −3.85452 | + | 5.90767i | −0.292210 | + | 0.447859i | ||||
\(175\) | 12.6651 | + | 3.76250i | 0.957395 | + | 0.284418i | ||||
\(176\) | 3.65135 | + | 3.93522i | 0.275231 | + | 0.296629i | ||||
\(177\) | 3.17666 | + | 18.5175i | 0.238773 | + | 1.39186i | ||||
\(178\) | 9.61655 | − | 5.55212i | 0.720791 | − | 0.416149i | ||||
\(179\) | −7.26329 | + | 23.5470i | −0.542883 | + | 1.75998i | 0.101027 | + | 0.994884i | \(0.467787\pi\) |
−0.643910 | + | 0.765101i | \(0.722689\pi\) | |||||||
\(180\) | 0.138407 | − | 0.188793i | 0.0103163 | − | 0.0140718i | ||||
\(181\) | −6.78190 | − | 5.40839i | −0.504095 | − | 0.402002i | 0.338154 | − | 0.941091i | \(-0.390197\pi\) |
−0.842249 | + | 0.539088i | \(0.818769\pi\) | |||||||
\(182\) | 0.537498 | − | 0.0867563i | 0.0398420 | − | 0.00643081i | ||||
\(183\) | −18.5630 | − | 16.5357i | −1.37222 | − | 1.22235i | ||||
\(184\) | 23.8980 | + | 7.37154i | 1.76178 | + | 0.543437i | ||||
\(185\) | −0.0874755 | − | 0.109691i | −0.00643133 | − | 0.00806463i | ||||
\(186\) | 3.40028 | − | 11.8738i | 0.249321 | − | 0.870632i | ||||
\(187\) | −27.1954 | − | 21.6876i | −1.98872 | − | 1.58595i | ||||
\(188\) | 1.73739 | − | 0.836684i | 0.126712 | − | 0.0610214i | ||||
\(189\) | 13.6012 | − | 2.00162i | 0.989344 | − | 0.145596i | ||||
\(190\) | 0.104889 | + | 0.0505121i | 0.00760948 | + | 0.00366453i | ||||
\(191\) | −7.36334 | − | 15.2901i | −0.532793 | − | 1.10636i | −0.977550 | − | 0.210704i | \(-0.932424\pi\) |
0.444757 | − | 0.895651i | \(-0.353290\pi\) | |||||||
\(192\) | 12.2674 | + | 0.669286i | 0.885325 | + | 0.0483015i | ||||
\(193\) | 15.5485 | − | 7.48776i | 1.11920 | − | 0.538981i | 0.219558 | − | 0.975599i | \(-0.429538\pi\) |
0.899647 | + | 0.436619i | \(0.143824\pi\) | |||||||
\(194\) | 1.39866 | − | 0.210814i | 0.100418 | − | 0.0151356i | ||||
\(195\) | 0.0276013 | − | 0.00473499i | 0.00197657 | − | 0.000339079i | ||||
\(196\) | −3.32733 | + | 6.05113i | −0.237666 | + | 0.432223i | ||||
\(197\) | − | 0.575306i | − | 0.0409888i | −0.999790 | − | 0.0204944i | \(-0.993476\pi\) | ||
0.999790 | − | 0.0204944i | \(-0.00652403\pi\) | |||||||
\(198\) | −0.526216 | + | 15.3768i | −0.0373966 | + | 1.09278i | ||||
\(199\) | 11.5835 | + | 0.868063i | 0.821132 | + | 0.0615354i | 0.478669 | − | 0.877996i | \(-0.341120\pi\) |
0.342464 | + | 0.939531i | \(0.388739\pi\) | |||||||
\(200\) | 4.42549 | + | 14.3471i | 0.312929 | + | 1.01449i | ||||
\(201\) | 10.3411 | + | 14.5252i | 0.729405 | + | 1.02453i | ||||
\(202\) | 1.31681 | − | 0.0986811i | 0.0926502 | − | 0.00694318i | ||||
\(203\) | 4.54310 | − | 9.69108i | 0.318863 | − | 0.680180i | ||||
\(204\) | −11.6142 | + | 1.10780i | −0.813154 | + | 0.0775614i | ||||
\(205\) | −0.112810 | + | 0.141459i | −0.00787898 | + | 0.00987993i | ||||
\(206\) | −8.78527 | + | 5.98969i | −0.612098 | + | 0.417322i | ||||
\(207\) | 11.7307 | + | 22.0251i | 0.815341 | + | 1.53085i | ||||
\(208\) | 0.146510 | + | 0.157900i | 0.0101586 | + | 0.0109484i | ||||
\(209\) | 7.36482 | − | 1.11007i | 0.509435 | − | 0.0767850i | ||||
\(210\) | 0.172660 | − | 0.321475i | 0.0119147 | − | 0.0221839i | ||||
\(211\) | −6.69837 | − | 1.00962i | −0.461135 | − | 0.0695049i | −0.0856335 | − | 0.996327i | \(-0.527291\pi\) |
−0.375502 | + | 0.926822i | \(0.622530\pi\) | |||||||
\(212\) | −1.92765 | − | 2.82735i | −0.132392 | − | 0.194183i | ||||
\(213\) | −0.0341690 | − | 0.0821203i | −0.00234122 | − | 0.00562679i | ||||
\(214\) | −3.85610 | − | 6.67897i | −0.263598 | − | 0.456565i | ||||
\(215\) | −0.347964 | − | 0.602692i | −0.0237310 | − | 0.0411032i | ||||
\(216\) | 10.4658 | + | 11.5989i | 0.712105 | + | 0.789208i | ||||
\(217\) | −2.59976 | + | 18.5595i | −0.176483 | + | 1.25990i | ||||
\(218\) | −6.17380 | + | 6.65377i | −0.418142 | + | 0.450650i | ||||
\(219\) | 12.2209 | + | 7.97368i | 0.825815 | + | 0.538811i | ||||
\(220\) | −0.310793 | − | 0.247849i | −0.0209537 | − | 0.0167100i | ||||
\(221\) | −1.09121 | − | 0.870209i | −0.0734026 | − | 0.0585366i | ||||
\(222\) | 2.75878 | − | 1.39823i | 0.185157 | − | 0.0938428i | ||||
\(223\) | −10.1613 | + | 10.9512i | −0.680449 | + | 0.733349i | −0.974980 | − | 0.222293i | \(-0.928646\pi\) |
0.294531 | + | 0.955642i | \(0.404836\pi\) | |||||||
\(224\) | −13.0551 | + | 1.11535i | −0.872278 | + | 0.0745228i | ||||
\(225\) | −6.95795 | + | 13.2674i | −0.463863 | + | 0.884494i | ||||
\(226\) | −7.64835 | − | 13.2473i | −0.508761 | − | 0.881200i | ||||
\(227\) | −6.72925 | − | 11.6554i | −0.446636 | − | 0.773596i | 0.551529 | − | 0.834156i | \(-0.314045\pi\) |
−0.998165 | + | 0.0605599i | \(0.980711\pi\) | |||||||
\(228\) | 1.51759 | − | 1.98431i | 0.100505 | − | 0.131414i | ||||
\(229\) | −14.1721 | − | 20.7866i | −0.936517 | − | 1.37362i | −0.927567 | − | 0.373658i | \(-0.878103\pi\) |
−0.00894999 | − | 0.999960i | \(-0.502849\pi\) | |||||||
\(230\) | 0.654965 | + | 0.0987202i | 0.0431871 | + | 0.00650941i | ||||
\(231\) | −2.45892 | − | 23.2155i | −0.161785 | − | 1.52747i | ||||
\(232\) | 12.0270 | − | 1.81278i | 0.789610 | − | 0.119015i | ||||
\(233\) | 1.92646 | + | 2.07623i | 0.126206 | + | 0.136018i | 0.792993 | − | 0.609230i | \(-0.208521\pi\) |
−0.666787 | + | 0.745248i | \(0.732331\pi\) | |||||||
\(234\) | −0.0211143 | + | 0.616992i | −0.00138029 | + | 0.0403340i | ||||
\(235\) | 0.127748 | − | 0.0870972i | 0.00833337 | − | 0.00568159i | ||||
\(236\) | 6.67194 | − | 8.36635i | 0.434306 | − | 0.544603i | ||||
\(237\) | 1.87710 | + | 2.63660i | 0.121931 | + | 0.171265i | ||||
\(238\) | −17.6874 | + | 4.23154i | −1.14650 | + | 0.274290i | ||||
\(239\) | 0.132343 | − | 0.00991774i | 0.00856056 | − | 0.000641525i | −0.0704491 | − | 0.997515i | \(-0.522443\pi\) |
0.0790097 | + | 0.996874i | \(0.474824\pi\) | |||||||
\(240\) | 0.143715 | − | 0.0137080i | 0.00927675 | − | 0.000884848i | ||||
\(241\) | 2.59397 | + | 8.40944i | 0.167092 | + | 0.541700i | 0.999930 | − | 0.0118171i | \(-0.00376159\pi\) |
−0.832838 | + | 0.553517i | \(0.813285\pi\) | |||||||
\(242\) | 15.0111 | + | 1.12493i | 0.964949 | + | 0.0723130i | ||||
\(243\) | −0.749829 | + | 15.5704i | −0.0481015 | + | 0.998842i | ||||
\(244\) | 14.1593i | 0.906455i | ||||||||
\(245\) | −0.191491 | + | 0.519516i | −0.0122339 | + | 0.0331907i | ||||
\(246\) | −2.54964 | − | 3.06732i | −0.162559 | − | 0.195565i | ||||
\(247\) | 0.295512 | − | 0.0445412i | 0.0188030 | − | 0.00283409i | ||||
\(248\) | −19.1875 | + | 9.24024i | −1.21841 | + | 0.586756i | ||||
\(249\) | −9.93850 | + | 15.2323i | −0.629827 | + | 0.965311i | ||||
\(250\) | 0.345282 | + | 0.716986i | 0.0218376 | + | 0.0453462i | ||||
\(251\) | 15.5829 | + | 7.50432i | 0.983582 | + | 0.473668i | 0.855336 | − | 0.518074i | \(-0.173351\pi\) |
0.128247 | + | 0.991742i | \(0.459065\pi\) | |||||||
\(252\) | −6.00409 | − | 5.02624i | −0.378222 | − | 0.316623i | ||||
\(253\) | 38.1790 | − | 18.3860i | 2.40029 | − | 1.15592i | ||||
\(254\) | −2.82919 | − | 2.25620i | −0.177519 | − | 0.141567i | ||||
\(255\) | −0.907573 | + | 0.226620i | −0.0568344 | + | 0.0141915i | ||||
\(256\) | −10.5798 | − | 13.2667i | −0.661238 | − | 0.829166i | ||||
\(257\) | −5.77161 | − | 1.78031i | −0.360023 | − | 0.111053i | 0.109466 | − | 0.993991i | \(-0.465086\pi\) |
−0.469490 | + | 0.882938i | \(0.655562\pi\) | |||||||
\(258\) | 14.5652 | − | 4.81860i | 0.906790 | − | 0.299993i | ||||
\(259\) | −3.84969 | + | 2.68390i | −0.239208 | + | 0.166769i | ||||
\(260\) | −0.0124705 | − | 0.00994489i | −0.000773387 | − | 0.000616756i | ||||
\(261\) | 9.78771 | + | 7.17551i | 0.605844 | + | 0.444153i | ||||
\(262\) | 2.00738 | − | 6.50778i | 0.124017 | − | 0.402052i | ||||
\(263\) | −18.3787 | + | 10.6109i | −1.13328 | + | 0.654299i | −0.944757 | − | 0.327770i | \(-0.893703\pi\) |
−0.188521 | + | 0.982069i | \(0.560369\pi\) | |||||||
\(264\) | 20.4015 | − | 16.9583i | 1.25562 | − | 1.04371i | ||||
\(265\) | −0.186618 | − | 0.201127i | −0.0114639 | − | 0.0123551i | ||||
\(266\) | 1.91178 | − | 3.39251i | 0.117219 | − | 0.208008i | ||||
\(267\) | −8.63684 | − | 17.0410i | −0.528566 | − | 1.04289i | ||||
\(268\) | 2.25982 | − | 9.90090i | 0.138040 | − | 0.604794i | ||||
\(269\) | −5.32525 | − | 13.5685i | −0.324686 | − | 0.827288i | −0.996265 | − | 0.0863539i | \(-0.972478\pi\) |
0.671578 | − | 0.740934i | \(-0.265617\pi\) | |||||||
\(270\) | 0.319875 | + | 0.262454i | 0.0194670 | + | 0.0159725i | ||||
\(271\) | 8.08673 | + | 26.2165i | 0.491234 | + | 1.59254i | 0.773890 | + | 0.633320i | \(0.218308\pi\) |
−0.282656 | + | 0.959221i | \(0.591215\pi\) | |||||||
\(272\) | −5.27435 | − | 4.89388i | −0.319804 | − | 0.296735i | ||||
\(273\) | −0.0986635 | − | 0.931517i | −0.00597139 | − | 0.0563780i | ||||
\(274\) | −13.7883 | + | 12.7937i | −0.832982 | + | 0.772894i | ||||
\(275\) | 22.0317 | + | 12.7200i | 1.32856 | + | 0.767045i | ||||
\(276\) | 4.92303 | − | 13.3332i | 0.296332 | − | 0.802565i | ||||
\(277\) | 8.94185 | − | 8.29682i | 0.537264 | − | 0.498508i | −0.364225 | − | 0.931311i | \(-0.618666\pi\) |
0.901488 | + | 0.432803i | \(0.142476\pi\) | |||||||
\(278\) | 1.26582 | + | 16.8911i | 0.0759186 | + | 1.01306i | ||||
\(279\) | −20.0798 | − | 6.95435i | −1.20214 | − | 0.416346i | ||||
\(280\) | −0.611928 | + | 0.146398i | −0.0365697 | + | 0.00874898i | ||||
\(281\) | −1.07712 | − | 7.14625i | −0.0642559 | − | 0.426310i | −0.997711 | − | 0.0676166i | \(-0.978461\pi\) |
0.933456 | − | 0.358693i | \(-0.116778\pi\) | |||||||
\(282\) | 1.30937 | + | 3.14689i | 0.0779721 | + | 0.187395i | ||||
\(283\) | 22.3791 | − | 17.8468i | 1.33030 | − | 1.06088i | 0.337472 | − | 0.941336i | \(-0.390428\pi\) |
0.992829 | − | 0.119544i | \(-0.0381433\pi\) | |||||||
\(284\) | −0.0219806 | + | 0.0456431i | −0.00130431 | + | 0.00270842i | ||||
\(285\) | 0.0966073 | − | 0.175459i | 0.00572252 | − | 0.0103933i | ||||
\(286\) | 1.04541 | + | 0.0783428i | 0.0618165 | + | 0.00463251i | ||||
\(287\) | 4.47915 | + | 4.06996i | 0.264396 | + | 0.240242i | ||||
\(288\) | 1.61632 | − | 14.7688i | 0.0952426 | − | 0.870259i | ||||
\(289\) | 24.4740 | + | 16.6861i | 1.43965 | + | 0.981536i | ||||
\(290\) | 0.307821 | − | 0.0949501i | 0.0180759 | − | 0.00557566i | ||||
\(291\) | −0.231072 | − | 2.42256i | −0.0135457 | − | 0.142013i | ||||
\(292\) | −1.23871 | − | 8.21833i | −0.0724903 | − | 0.480942i | ||||
\(293\) | 4.32162 | + | 7.48527i | 0.252472 | + | 0.437294i | 0.964206 | − | 0.265155i | \(-0.0854232\pi\) |
−0.711734 | + | 0.702449i | \(0.752090\pi\) | |||||||
\(294\) | −10.3593 | − | 6.45508i | −0.604165 | − | 0.376468i | ||||
\(295\) | 0.428996 | − | 0.743043i | 0.0249771 | − | 0.0432617i | ||||
\(296\) | −4.96429 | − | 1.94834i | −0.288544 | − | 0.113245i | ||||
\(297\) | 26.3671 | + | 2.34523i | 1.52997 | + | 0.136084i | ||||
\(298\) | −6.93651 | − | 6.43614i | −0.401821 | − | 0.372836i | ||||
\(299\) | 1.53192 | − | 0.737735i | 0.0885934 | − | 0.0426643i | ||||
\(300\) | 8.27859 | − | 2.06715i | 0.477964 | − | 0.119347i | ||||
\(301\) | −20.8665 | + | 10.3182i | −1.20272 | + | 0.594731i | ||||
\(302\) | 11.4284 | − | 16.7624i | 0.657630 | − | 0.964566i | ||||
\(303\) | −0.0461072 | − | 2.27144i | −0.00264879 | − | 0.130491i | ||||
\(304\) | 1.53630 | − | 0.115130i | 0.0881129 | − | 0.00660315i | ||||
\(305\) | 0.169204 | + | 1.12260i | 0.00968861 | + | 0.0642798i | ||||
\(306\) | −0.836836 | − | 20.6046i | −0.0478387 | − | 1.17788i | ||||
\(307\) | 19.4130 | − | 15.4813i | 1.10796 | − | 0.883567i | 0.114017 | − | 0.993479i | \(-0.463628\pi\) |
0.993941 | + | 0.109912i | \(0.0350568\pi\) | |||||||
\(308\) | −8.94191 | + | 9.84093i | −0.509512 | + | 0.560739i | ||||
\(309\) | 9.46647 | + | 15.6539i | 0.538529 | + | 0.890519i | ||||
\(310\) | −0.466031 | + | 0.317734i | −0.0264688 | + | 0.0180461i | ||||
\(311\) | 3.16336 | + | 13.8596i | 0.179378 | + | 0.785905i | 0.981918 | + | 0.189307i | \(0.0606242\pi\) |
−0.802540 | + | 0.596598i | \(0.796519\pi\) | |||||||
\(312\) | 0.818604 | − | 0.680446i | 0.0463443 | − | 0.0385227i | ||||
\(313\) | − | 1.36791i | − | 0.0773189i | −0.999252 | − | 0.0386594i | \(-0.987691\pi\) | ||
0.999252 | − | 0.0386594i | \(-0.0123087\pi\) | |||||||
\(314\) | −1.11769 | − | 4.89694i | −0.0630751 | − | 0.276350i | ||||
\(315\) | −0.536089 | − | 0.326749i | −0.0302052 | − | 0.0184102i | ||||
\(316\) | 0.410198 | − | 1.79719i | 0.0230754 | − | 0.101100i | ||||
\(317\) | 11.2888 | + | 2.57659i | 0.634040 | + | 0.144715i | 0.527448 | − | 0.849587i | \(-0.323149\pi\) |
0.106592 | + | 0.994303i | \(0.466006\pi\) | |||||||
\(318\) | 5.17561 | − | 3.12988i | 0.290234 | − | 0.175515i | ||||
\(319\) | 12.8494 | − | 16.1126i | 0.719426 | − | 0.902132i | ||||
\(320\) | −0.411279 | − | 0.381611i | −0.0229912 | − | 0.0213327i | ||||
\(321\) | −11.8354 | + | 5.99853i | −0.660590 | + | 0.334805i | ||||
\(322\) | 4.70456 | − | 21.6503i | 0.262175 | − | 1.20652i | ||||
\(323\) | −9.73223 | + | 2.22132i | −0.541516 | + | 0.123597i | ||||
\(324\) | 6.90611 | − | 5.57993i | 0.383673 | − | 0.309996i | ||||
\(325\) | 0.884017 | + | 0.510387i | 0.0490364 | + | 0.0283112i | ||||
\(326\) | 0.369154 | + | 0.397854i | 0.0204456 | + | 0.0220351i | ||||
\(327\) | 10.8521 | + | 11.2298i | 0.600122 | + | 0.621010i | ||||
\(328\) | −1.02503 | + | 6.80063i | −0.0565978 | + | 0.375502i | ||||
\(329\) | −2.63242 | − | 4.45162i | −0.145130 | − | 0.245426i | ||||
\(330\) | 0.467356 | − | 0.524655i | 0.0257271 | − | 0.0288813i | ||||
\(331\) | −3.28981 | − | 14.4136i | −0.180824 | − | 0.792242i | −0.981239 | − | 0.192796i | \(-0.938245\pi\) |
0.800415 | − | 0.599446i | \(-0.204613\pi\) | |||||||
\(332\) | 10.2434 | − | 1.54395i | 0.562182 | − | 0.0847353i | ||||
\(333\) | −2.14349 | − | 4.87045i | −0.117462 | − | 0.266899i | ||||
\(334\) | −1.67089 | + | 11.0857i | −0.0914272 | + | 0.606580i | ||||
\(335\) | 0.0608497 | − | 0.811983i | 0.00332457 | − | 0.0443634i | ||||
\(336\) | −0.148340 | − | 4.82668i | −0.00809264 | − | 0.263317i | ||||
\(337\) | −0.0667522 | − | 0.890747i | −0.00363623 | − | 0.0485221i | 0.995091 | − | 0.0989690i | \(-0.0315545\pi\) |
−0.998727 | + | 0.0504469i | \(0.983935\pi\) | |||||||
\(338\) | −13.0088 | − | 0.974877i | −0.707587 | − | 0.0530263i | ||||
\(339\) | −23.4749 | + | 11.8977i | −1.27498 | + | 0.646196i | ||||
\(340\) | 0.440213 | + | 0.300132i | 0.0238739 | + | 0.0162770i | ||||
\(341\) | −13.1834 | + | 33.5906i | −0.713919 | + | 1.81903i | ||||
\(342\) | 3.35600 | + | 2.86947i | 0.181471 | + | 0.155163i | ||||
\(343\) | 16.9294 | + | 7.50979i | 0.914099 | + | 0.405490i | ||||
\(344\) | −22.9089 | − | 13.2265i | −1.23517 | − | 0.713124i | ||||
\(345\) | 0.230983 | − | 1.11593i | 0.0124357 | − | 0.0600799i | ||||
\(346\) | 0.291113 | + | 0.604502i | 0.0156503 | + | 0.0324982i | ||||
\(347\) | −3.96378 | − | 0.904708i | −0.212787 | − | 0.0485672i | 0.114798 | − | 0.993389i | \(-0.463378\pi\) |
−0.327585 | + | 0.944822i | \(0.606235\pi\) | |||||||
\(348\) | −0.656343 | − | 6.88111i | −0.0351837 | − | 0.368866i | ||||
\(349\) | −8.66712 | − | 12.7123i | −0.463940 | − | 0.680476i | 0.520963 | − | 0.853579i | \(-0.325573\pi\) |
−0.984904 | + | 0.173104i | \(0.944620\pi\) | |||||||
\(350\) | 12.3302 | − | 4.98825i | 0.659077 | − | 0.266633i | ||||
\(351\) | 1.05797 | + | 0.0941017i | 0.0564704 | + | 0.00502278i | ||||
\(352\) | −24.9472 | − | 3.76019i | −1.32969 | − | 0.200419i | ||||
\(353\) | 1.21431 | + | 16.2039i | 0.0646313 | + | 0.862445i | 0.931461 | + | 0.363841i | \(0.118535\pi\) |
−0.866830 | + | 0.498604i | \(0.833846\pi\) | |||||||
\(354\) | 14.1234 | + | 12.5809i | 0.750648 | + | 0.668669i | ||||
\(355\) | −0.00119726 | + | 0.00388141i | −6.35438e−5 | + | 0.000206004i | ||||
\(356\) | −3.97540 | + | 10.1292i | −0.210696 | + | 0.536844i | ||||
\(357\) | 5.61173 | + | 30.7823i | 0.297004 | + | 1.62917i | ||||
\(358\) | 9.06315 | + | 23.0925i | 0.479002 | + | 1.22048i | ||||
\(359\) | −33.4686 | + | 2.50813i | −1.76641 | + | 0.132374i | −0.917900 | − | 0.396813i | \(-0.870116\pi\) |
−0.848506 | + | 0.529186i | \(0.822497\pi\) | |||||||
\(360\) | −0.0289520 | − | 0.712854i | −0.00152590 | − | 0.0375707i | ||||
\(361\) | −8.43127 | + | 14.6034i | −0.443751 | + | 0.768599i | ||||
\(362\) | −8.73268 | −0.458979 | ||||||||
\(363\) | 3.33949 | − | 25.6826i | 0.175278 | − | 1.34799i | ||||
\(364\) | −0.358792 | + | 0.394865i | −0.0188058 | + | 0.0206966i | ||||
\(365\) | −0.196419 | − | 0.636776i | −0.0102811 | − | 0.0333304i | ||||
\(366\) | −24.9898 | − | 1.36339i | −1.30624 | − | 0.0712656i | ||||
\(367\) | −0.209041 | + | 1.38690i | −0.0109119 | + | 0.0723955i | −0.993624 | − | 0.112745i | \(-0.964036\pi\) |
0.982712 | + | 0.185140i | \(0.0592739\pi\) | |||||||
\(368\) | 8.15939 | − | 3.20233i | 0.425338 | − | 0.166933i | ||||
\(369\) | −5.50843 | + | 4.09263i | −0.286757 | + | 0.213054i | ||||
\(370\) | −0.137701 | − | 0.0314295i | −0.00715876 | − | 0.00163394i | ||||
\(371\) | −7.11513 | + | 5.79653i | −0.369399 | + | 0.300941i | ||||
\(372\) | 4.64953 | + | 11.1745i | 0.241067 | + | 0.579370i | ||||
\(373\) | 0.370737 | − | 0.642136i | 0.0191961 | − | 0.0332485i | −0.856268 | − | 0.516532i | \(-0.827223\pi\) |
0.875464 | + | 0.483284i | \(0.160556\pi\) | |||||||
\(374\) | −35.0180 | −1.81074 | ||||||||
\(375\) | 1.26410 | − | 0.525971i | 0.0652777 | − | 0.0271610i | ||||
\(376\) | 2.54995 | − | 5.29503i | 0.131504 | − | 0.273070i | ||||
\(377\) | 0.515578 | − | 0.646514i | 0.0265536 | − | 0.0332972i | ||||
\(378\) | 9.44896 | − | 10.1127i | 0.486002 | − | 0.520139i | ||||
\(379\) | −2.32124 | − | 2.91075i | −0.119234 | − | 0.149515i | 0.718632 | − | 0.695391i | \(-0.244769\pi\) |
−0.837866 | + | 0.545875i | \(0.816197\pi\) | |||||||
\(380\) | −0.111221 | + | 0.0253856i | −0.00570554 | + | 0.00130225i | ||||
\(381\) | −4.14117 | + | 4.64888i | −0.212159 | + | 0.238170i | ||||
\(382\) | −15.3929 | − | 7.41283i | −0.787569 | − | 0.379273i | ||||
\(383\) | 8.30746 | + | 21.1671i | 0.424491 | + | 1.08159i | 0.969919 | + | 0.243428i | \(0.0782720\pi\) |
−0.545428 | + | 0.838158i | \(0.683633\pi\) | |||||||
\(384\) | −3.89976 | + | 2.77639i | −0.199009 | + | 0.141682i | ||||
\(385\) | −0.591346 | + | 0.887080i | −0.0301378 | + | 0.0452098i | ||||
\(386\) | 7.53808 | − | 15.6530i | 0.383678 | − | 0.796716i | ||||
\(387\) | −6.91288 | − | 25.4737i | −0.351401 | − | 1.29490i | ||||
\(388\) | −0.942765 | + | 1.01606i | −0.0478616 | + | 0.0515826i | ||||
\(389\) | 8.42363 | − | 12.3552i | 0.427095 | − | 0.626433i | −0.551022 | − | 0.834491i | \(-0.685762\pi\) |
0.978117 | + | 0.208058i | \(0.0667142\pi\) | |||||||
\(390\) | 0.0187526 | − | 0.0210516i | 0.000949572 | − | 0.00106599i | ||||
\(391\) | −49.1864 | + | 28.3978i | −2.48746 | + | 1.43614i | ||||
\(392\) | 3.57007 | + | 20.7411i | 0.180316 | + | 1.04758i | ||||
\(393\) | −10.9918 | − | 4.05850i | −0.554462 | − | 0.204724i | ||||
\(394\) | −0.361108 | − | 0.452815i | −0.0181924 | − | 0.0228125i | ||||
\(395\) | 0.0110453 | − | 0.147390i | 0.000555751 | − | 0.00741598i | ||||
\(396\) | −8.99171 | − | 12.1023i | −0.451851 | − | 0.608163i | ||||
\(397\) | 7.98602 | − | 11.7133i | 0.400807 | − | 0.587876i | −0.571782 | − | 0.820405i | \(-0.693748\pi\) |
0.972589 | + | 0.232529i | \(0.0747002\pi\) | |||||||
\(398\) | 9.66207 | − | 6.58749i | 0.484316 | − | 0.330201i | ||||
\(399\) | −5.64892 | − | 3.60228i | −0.282800 | − | 0.180339i | ||||
\(400\) | 4.34786 | + | 2.96432i | 0.217393 | + | 0.148216i | ||||
\(401\) | −1.86600 | + | 0.732349i | −0.0931834 | + | 0.0365718i | −0.411475 | − | 0.911421i | \(-0.634986\pi\) |
0.318291 | + | 0.947993i | \(0.396891\pi\) | |||||||
\(402\) | 17.2565 | + | 4.94171i | 0.860678 | + | 0.246470i | ||||
\(403\) | −0.528979 | + | 1.34782i | −0.0263503 | + | 0.0671395i | ||||
\(404\) | −0.948565 | + | 0.880140i | −0.0471929 | + | 0.0437886i | ||||
\(405\) | 0.480860 | − | 0.524925i | 0.0238941 | − | 0.0260837i | ||||
\(406\) | −2.50709 | − | 10.4793i | −0.124425 | − | 0.520080i | ||||
\(407\) | −8.41154 | + | 3.30128i | −0.416944 | + | 0.163639i | ||||
\(408\) | −25.5689 | + | 24.7089i | −1.26585 | + | 1.22327i | ||||
\(409\) | 14.9756 | − | 3.41808i | 0.740495 | − | 0.169013i | 0.164398 | − | 0.986394i | \(-0.447432\pi\) |
0.576098 | + | 0.817381i | \(0.304575\pi\) | |||||||
\(410\) | 0.182149i | 0.00899570i | ||||||||
\(411\) | 20.6863 | + | 24.8865i | 1.02038 | + | 1.22756i | ||||
\(412\) | 3.07118 | − | 9.95651i | 0.151306 | − | 0.490522i | ||||
\(413\) | −23.8796 | − | 15.9186i | −1.17504 | − | 0.783306i | ||||
\(414\) | 23.0578 | + | 9.97253i | 1.13323 | + | 0.490123i | ||||
\(415\) | 0.793686 | − | 0.244820i | 0.0389605 | − | 0.0120177i | ||||
\(416\) | −1.00100 | − | 0.150877i | −0.0490781 | − | 0.00739734i | ||||
\(417\) | 29.1365 | − | 0.591433i | 1.42682 | − | 0.0289626i | ||||
\(418\) | 5.09998 | − | 5.49647i | 0.249448 | − | 0.268841i | ||||
\(419\) | −1.19729 | + | 0.369315i | −0.0584914 | + | 0.0180422i | −0.323863 | − | 0.946104i | \(-0.604982\pi\) |
0.265371 | + | 0.964146i | \(0.414505\pi\) | |||||||
\(420\) | 0.0641317 | + | 0.351785i | 0.00312931 | + | 0.0171653i | ||||
\(421\) | 7.79067 | + | 2.40310i | 0.379694 | + | 0.117120i | 0.478726 | − | 0.877964i | \(-0.341099\pi\) |
−0.0990324 | + | 0.995084i | \(0.531575\pi\) | |||||||
\(422\) | −5.90591 | + | 3.40978i | −0.287495 | + | 0.165985i | ||||
\(423\) | 5.52888 | − | 1.95447i | 0.268823 | − | 0.0950295i | ||||
\(424\) | −9.96571 | − | 3.07401i | −0.483978 | − | 0.149287i | ||||
\(425\) | −30.7204 | − | 14.7942i | −1.49016 | − | 0.717622i | ||||
\(426\) | −0.0784392 | − | 0.0431885i | −0.00380039 | − | 0.00209249i | ||||
\(427\) | 37.8363 | − | 3.23253i | 1.83102 | − | 0.156433i | ||||
\(428\) | 7.03499 | + | 2.76103i | 0.340049 | + | 0.133459i | ||||
\(429\) | 0.232571 | − | 1.78861i | 0.0112286 | − | 0.0863547i | ||||
\(430\) | −0.652175 | − | 0.255960i | −0.0314507 | − | 0.0123435i | ||||
\(431\) | 7.32528 | + | 10.7442i | 0.352846 | + | 0.517531i | 0.961096 | − | 0.276215i | \(-0.0890803\pi\) |
−0.608249 | + | 0.793746i | \(0.708128\pi\) | |||||||
\(432\) | 5.40249 | + | 0.891328i | 0.259927 | + | 0.0428840i | ||||
\(433\) | 4.06555 | + | 8.44220i | 0.195378 | + | 0.405706i | 0.975525 | − | 0.219890i | \(-0.0705699\pi\) |
−0.780147 | + | 0.625597i | \(0.784856\pi\) | |||||||
\(434\) | 9.60318 | + | 16.2397i | 0.460967 | + | 0.779532i | ||||
\(435\) | −0.134267 | − | 0.537715i | −0.00643760 | − | 0.0257815i | ||||
\(436\) | 0.664696 | − | 8.86975i | 0.0318331 | − | 0.424784i | ||||
\(437\) | 2.70610 | − | 11.8562i | 0.129450 | − | 0.567158i | ||||
\(438\) | 14.6238 | − | 1.39487i | 0.698754 | − | 0.0666496i | ||||
\(439\) | −24.4016 | + | 19.4596i | −1.16462 | + | 0.928756i | −0.998356 | − | 0.0573249i | \(-0.981743\pi\) |
−0.166267 | + | 0.986081i | \(0.553171\pi\) | |||||||
\(440\) | −1.21151 | −0.0577567 | ||||||||
\(441\) | −12.0603 | + | 17.1915i | −0.574302 | + | 0.818644i | ||||
\(442\) | −1.40509 | −0.0668332 | ||||||||
\(443\) | 3.86729 | − | 3.08406i | 0.183740 | − | 0.146528i | −0.527300 | − | 0.849679i | \(-0.676796\pi\) |
0.711041 | + | 0.703151i | \(0.248224\pi\) | |||||||
\(444\) | −1.25933 | + | 2.75678i | −0.0597650 | + | 0.130831i | ||||
\(445\) | −0.194140 | + | 0.850582i | −0.00920310 | + | 0.0403214i | ||||
\(446\) | −1.12391 | + | 14.9976i | −0.0532189 | + | 0.710156i | ||||
\(447\) | −11.7070 | + | 11.3132i | −0.553722 | + | 0.535097i | ||||
\(448\) | −13.6231 | + | 12.9073i | −0.643631 | + | 0.609814i | ||||
\(449\) | 6.37021 | + | 13.2279i | 0.300629 | + | 0.624262i | 0.995488 | − | 0.0948831i | \(-0.0302477\pi\) |
−0.694859 | + | 0.719146i | \(0.744533\pi\) | |||||||
\(450\) | 2.85119 | + | 14.8100i | 0.134406 | + | 0.698148i | ||||
\(451\) | 6.56448 | + | 9.62832i | 0.309109 | + | 0.453380i | ||||
\(452\) | 13.9535 | + | 5.47634i | 0.656317 | + | 0.257585i | ||||
\(453\) | −27.7255 | − | 21.2043i | −1.30266 | − | 0.996265i | ||||
\(454\) | −12.6124 | − | 4.94999i | −0.591927 | − | 0.232314i | ||||
\(455\) | −0.0237276 | + | 0.0355939i | −0.00111237 | + | 0.00166867i | ||||
\(456\) | −0.154512 | − | 7.61191i | −0.00723568 | − | 0.356460i | ||||
\(457\) | 26.6826 | + | 12.8497i | 1.24816 | + | 0.601082i | 0.937018 | − | 0.349282i | \(-0.113574\pi\) |
0.311142 | + | 0.950364i | \(0.399289\pi\) | |||||||
\(458\) | −24.2020 | − | 7.46532i | −1.13088 | − | 0.348832i | ||||
\(459\) | −35.4757 | − | 0.493573i | −1.65586 | − | 0.0230380i | ||||
\(460\) | −0.562110 | + | 0.324534i | −0.0262085 | + | 0.0151315i | ||||
\(461\) | −23.9753 | − | 7.39539i | −1.11664 | − | 0.344438i | −0.319110 | − | 0.947718i | \(-0.603384\pi\) |
−0.797529 | + | 0.603280i | \(0.793860\pi\) | |||||||
\(462\) | −16.5073 | − | 16.7292i | −0.767989 | − | 0.778312i | ||||
\(463\) | 22.9116 | − | 7.06730i | 1.06479 | − | 0.328445i | 0.287629 | − | 0.957742i | \(-0.407133\pi\) |
0.777165 | + | 0.629297i | \(0.216657\pi\) | |||||||
\(464\) | 2.89951 | − | 3.12492i | 0.134606 | − | 0.145071i | ||||
\(465\) | 0.502167 | + | 0.830390i | 0.0232874 | + | 0.0385084i | ||||
\(466\) | 2.81949 | + | 0.424970i | 0.130611 | + | 0.0196864i | ||||
\(467\) | 10.9863 | − | 3.38883i | 0.508386 | − | 0.156816i | −0.0299423 | − | 0.999552i | \(-0.509532\pi\) |
0.538328 | + | 0.842735i | \(0.319056\pi\) | |||||||
\(468\) | −0.360790 | − | 0.485602i | −0.0166775 | − | 0.0224469i | ||||
\(469\) | −26.9730 | − | 3.77830i | −1.24550 | − | 0.174466i | ||||
\(470\) | 0.0458796 | − | 0.148738i | 0.00211627 | − | 0.00686077i | ||||
\(471\) | −8.51737 | + | 1.46115i | −0.392460 | + | 0.0673262i | ||||
\(472\) | − | 32.6132i | − | 1.50114i | ||||||
\(473\) | −43.6983 | + | 9.97385i | −2.00925 | + | 0.458598i | ||||
\(474\) | 3.13238 | + | 0.897011i | 0.143875 | + | 0.0412011i | ||||
\(475\) | 6.79620 | − | 2.66731i | 0.311831 | − | 0.122385i | ||||
\(476\) | 10.9656 | − | 14.0485i | 0.502607 | − | 0.643911i | ||||
\(477\) | −4.89183 | − | 9.18471i | −0.223982 | − | 0.420539i | ||||
\(478\) | 0.0979402 | − | 0.0908752i | 0.00447968 | − | 0.00415654i | ||||
\(479\) | −4.63102 | + | 11.7997i | −0.211597 | + | 0.539140i | −0.996786 | − | 0.0801166i | \(-0.974471\pi\) |
0.785189 | + | 0.619257i | \(0.212566\pi\) | |||||||
\(480\) | −0.487889 | + | 0.471478i | −0.0222690 | + | 0.0215199i | ||||
\(481\) | −0.337511 | + | 0.132463i | −0.0153892 | + | 0.00603980i | ||||
\(482\) | 7.32012 | + | 4.99077i | 0.333422 | + | 0.227323i | ||||
\(483\) | −36.7527 | − | 10.1113i | −1.67231 | − | 0.460081i | ||||
\(484\) | −12.1879 | + | 8.30955i | −0.553994 | + | 0.377707i | ||||
\(485\) | −0.0626037 | + | 0.0918228i | −0.00284269 | + | 0.00416946i | ||||
\(486\) | 9.18306 | + | 12.7259i | 0.416552 | + | 0.577259i | ||||
\(487\) | −1.93017 | + | 25.7563i | −0.0874644 | + | 1.16713i | 0.764888 | + | 0.644164i | \(0.222794\pi\) |
−0.852352 | + | 0.522968i | \(0.824825\pi\) | |||||||
\(488\) | 26.9055 | + | 33.7384i | 1.21795 | + | 1.52727i | ||||
\(489\) | 0.718086 | − | 0.596893i | 0.0324730 | − | 0.0269924i | ||||
\(490\) | 0.175370 | + | 0.529099i | 0.00792241 | + | 0.0239023i | ||||
\(491\) | 34.4423 | − | 19.8853i | 1.55436 | − | 0.897410i | 0.556580 | − | 0.830794i | \(-0.312113\pi\) |
0.997779 | − | 0.0666156i | \(-0.0212201\pi\) | |||||||
\(492\) | 3.82744 | + | 0.792225i | 0.172554 | + | 0.0357163i | ||||
\(493\) | −15.5599 | + | 22.8222i | −0.700783 | + | 1.02786i | ||||
\(494\) | 0.204635 | − | 0.220545i | 0.00920698 | − | 0.00992277i | ||||
\(495\) | −0.857518 | − | 0.852061i | −0.0385426 | − | 0.0382973i | ||||
\(496\) | −3.23857 | + | 6.72496i | −0.145416 | + | 0.301959i | ||||
\(497\) | 0.126985 | + | 0.0483160i | 0.00569606 | + | 0.00216727i | ||||
\(498\) | 1.73859 | + | 18.2274i | 0.0779080 | + | 0.816788i | ||||
\(499\) | −1.80664 | − | 4.60324i | −0.0808763 | − | 0.206069i | 0.884716 | − | 0.466131i | \(-0.154352\pi\) |
−0.965592 | + | 0.260061i | \(0.916257\pi\) | |||||||
\(500\) | −0.702595 | − | 0.338352i | −0.0314210 | − | 0.0151316i | ||||
\(501\) | 18.8878 | + | 3.90951i | 0.843845 | + | 0.174664i | ||||
\(502\) | 16.9754 | − | 3.87452i | 0.757648 | − | 0.172928i | ||||
\(503\) | −4.57973 | − | 5.74281i | −0.204200 | − | 0.256059i | 0.669177 | − | 0.743103i | \(-0.266647\pi\) |
−0.873378 | + | 0.487044i | \(0.838075\pi\) | |||||||
\(504\) | −23.8573 | − | 0.567436i | −1.06269 | − | 0.0252756i | ||||
\(505\) | −0.0646878 | + | 0.0811160i | −0.00287857 | + | 0.00360961i | ||||
\(506\) | 18.5096 | − | 38.4356i | 0.822852 | − | 1.70867i | ||||
\(507\) | −2.89405 | + | 22.2569i | −0.128529 | + | 0.988465i | ||||
\(508\) | 3.54603 | 0.157330 | ||||||||
\(509\) | −7.34710 | + | 12.7255i | −0.325654 | + | 0.564050i | −0.981645 | − | 0.190719i | \(-0.938918\pi\) |
0.655990 | + | 0.754769i | \(0.272251\pi\) | |||||||
\(510\) | −0.572093 | + | 0.748035i | −0.0253327 | + | 0.0331235i | ||||
\(511\) | −21.6781 | + | 5.18630i | −0.958984 | + | 0.229428i | ||||
\(512\) | −11.2653 | − | 2.57124i | −0.497862 | − | 0.113634i | ||||
\(513\) | 5.24411 | − | 5.49643i | 0.231533 | − | 0.242673i | ||||
\(514\) | −5.66022 | + | 2.22147i | −0.249662 | + | 0.0979850i | ||||
\(515\) | 0.124513 | − | 0.826088i | 0.00548668 | − | 0.0364018i | ||||
\(516\) | −8.21492 | + | 12.5907i | −0.361642 | + | 0.554274i | ||||
\(517\) | −2.93520 | − | 9.51568i | −0.129090 | − | 0.418499i | ||||
\(518\) | −1.34540 | + | 4.52883i | −0.0591137 | + | 0.198985i | ||||
\(519\) | 1.06578 | − | 0.443454i | 0.0467825 | − | 0.0194655i | ||||
\(520\) | −0.0486117 | −0.00213176 | ||||||||
\(521\) | 0.645522 | − | 1.11808i | 0.0282809 | − | 0.0489839i | −0.851539 | − | 0.524292i | \(-0.824330\pi\) |
0.879819 | + | 0.475308i | \(0.157663\pi\) | |||||||
\(522\) | 12.2077 | − | 0.495805i | 0.534316 | − | 0.0217008i | ||||
\(523\) | −43.4318 | + | 3.25476i | −1.89914 | + | 0.142321i | −0.972391 | − | 0.233359i | \(-0.925028\pi\) |
−0.926749 | + | 0.375680i | \(0.877409\pi\) | |||||||
\(524\) | 2.43816 | + | 6.21232i | 0.106511 | + | 0.271386i | ||||
\(525\) | −7.41380 | − | 21.6500i | −0.323565 | − | 0.944883i | ||||
\(526\) | −7.80533 | + | 19.8877i | −0.340329 | + | 0.867143i | ||||
\(527\) | 14.2557 | − | 46.2158i | 0.620988 | − | 2.01319i | ||||
\(528\) | 1.88463 | − | 9.10512i | 0.0820180 | − | 0.396250i | ||||
\(529\) | −3.45183 | − | 46.0615i | −0.150080 | − | 2.00267i | ||||
\(530\) | −0.273128 | − | 0.0411674i | −0.0118639 | − | 0.00178820i | ||||
\(531\) | 22.9369 | − | 23.0838i | 0.995378 | − | 1.00175i | ||||
\(532\) | 0.608052 | + | 3.76718i | 0.0263624 | + | 0.163328i | ||||
\(533\) | 0.263398 | + | 0.386334i | 0.0114090 | + | 0.0167340i | ||||
\(534\) | −17.4942 | − | 7.99154i | −0.757049 | − | 0.345828i | ||||
\(535\) | 0.590753 | + | 0.134836i | 0.0255405 | + | 0.00582945i | ||||
\(536\) | −13.4291 | − | 27.8858i | −0.580047 | − | 1.20448i | ||||
\(537\) | 40.5209 | − | 13.4055i | 1.74860 | − | 0.578490i | ||||
\(538\) | −12.7081 | − | 7.33704i | −0.547886 | − | 0.316322i | ||||
\(539\) | 28.3382 | + | 21.6478i | 1.22061 | + | 0.932436i | ||||
\(540\) | −0.405421 | − | 0.00564062i | −0.0174466 | − | 0.000242734i | ||||
\(541\) | 14.3286 | − | 36.5087i | 0.616034 | − | 1.56963i | −0.192574 | − | 0.981283i | \(-0.561683\pi\) |
0.808608 | − | 0.588348i | \(-0.200221\pi\) | |||||||
\(542\) | 22.8206 | + | 15.5588i | 0.980227 | + | 0.668307i | ||||
\(543\) | −0.818487 | + | 15.0022i | −0.0351246 | + | 0.643804i | ||||
\(544\) | 33.7197 | + | 2.52694i | 1.44572 | + | 0.108342i | ||||
\(545\) | −0.0532946 | − | 0.711168i | −0.00228289 | − | 0.0304631i | ||||
\(546\) | −0.662351 | − | 0.671255i | −0.0283460 | − | 0.0287271i | ||||
\(547\) | 0.111062 | − | 1.48202i | 0.00474867 | − | 0.0633666i | −0.994326 | − | 0.106376i | \(-0.966075\pi\) |
0.999075 | + | 0.0430091i | \(0.0136944\pi\) | |||||||
\(548\) | 2.74713 | − | 18.2260i | 0.117352 | − | 0.778578i | ||||
\(549\) | −4.68443 | + | 42.8030i | −0.199927 | + | 1.82679i | ||||
\(550\) | 25.3249 | − | 3.81712i | 1.07986 | − | 0.162763i | ||||
\(551\) | −1.31608 | − | 5.76611i | −0.0560667 | − | 0.245644i | ||||
\(552\) | −13.6053 | − | 41.1248i | −0.579080 | − | 1.75039i | ||||
\(553\) | −4.89608 | − | 0.685830i | −0.208203 | − | 0.0291645i | ||||
\(554\) | 1.83025 | − | 12.1429i | 0.0777600 | − | 0.515904i | ||||
\(555\) | −0.0669001 | + | 0.233616i | −0.00283975 | + | 0.00991645i | ||||
\(556\) | −11.2899 | − | 12.1676i | −0.478796 | − | 0.516020i | ||||
\(557\) | −9.39273 | − | 5.42290i | −0.397983 | − | 0.229775i | 0.287630 | − | 0.957741i | \(-0.407133\pi\) |
−0.685613 | + | 0.727966i | \(0.740466\pi\) | |||||||
\(558\) | −20.1696 | + | 7.12999i | −0.853847 | + | 0.301837i | ||||
\(559\) | −1.75338 | + | 0.400198i | −0.0741602 | + | 0.0169266i | ||||
\(560\) | −0.135689 | + | 0.173837i | −0.00573392 | + | 0.00734596i | ||||
\(561\) | −3.28213 | + | 60.1585i | −0.138571 | + | 2.53990i | ||||
\(562\) | −5.33335 | − | 4.94863i | −0.224974 | − | 0.208745i | ||||
\(563\) | −8.90505 | + | 11.1666i | −0.375303 | + | 0.470615i | −0.933232 | − | 0.359273i | \(-0.883025\pi\) |
0.557929 | + | 0.829888i | \(0.311596\pi\) | |||||||
\(564\) | −2.92584 | − | 1.61096i | −0.123200 | − | 0.0678337i | ||||
\(565\) | 1.17172 | + | 0.267438i | 0.0492948 | + | 0.0112512i | ||||
\(566\) | 6.41224 | − | 28.0939i | 0.269527 | − | 1.18087i | ||||
\(567\) | −16.4873 | − | 17.1805i | −0.692400 | − | 0.721514i | ||||
\(568\) | 0.0343563 | + | 0.150525i | 0.00144156 | + | 0.00631588i | ||||
\(569\) | 20.2115i | 0.847308i | 0.905824 | + | 0.423654i | \(0.139253\pi\) | ||||
−0.905824 | + | 0.423654i | \(0.860747\pi\) | |||||||
\(570\) | −0.0340936 | − | 0.198740i | −0.00142802 | − | 0.00832428i | ||||
\(571\) | 8.28594 | + | 36.3031i | 0.346756 | + | 1.51924i | 0.784496 | + | 0.620134i | \(0.212922\pi\) |
−0.437740 | + | 0.899101i | \(0.644221\pi\) | |||||||
\(572\) | −0.848796 | + | 0.578699i | −0.0354899 | + | 0.0241966i | ||||
\(573\) | −14.1775 | + | 25.7492i | −0.592272 | + | 1.07569i | ||||
\(574\) | 6.08011 | + | 0.391930i | 0.253779 | + | 0.0163588i | ||||
\(575\) | 32.4760 | − | 25.8988i | 1.35434 | − | 1.08005i | ||||
\(576\) | −11.3788 | − | 17.9816i | −0.474116 | − | 0.749232i | ||||
\(577\) | 3.08859 | + | 20.4914i | 0.128580 | + | 0.853070i | 0.956396 | + | 0.292072i | \(0.0943446\pi\) |
−0.827817 | + | 0.560999i | \(0.810417\pi\) | |||||||
\(578\) | 29.7367 | − | 2.22846i | 1.23688 | − | 0.0926916i | ||||
\(579\) | −26.1843 | − | 14.4170i | −1.08818 | − | 0.599151i | ||||
\(580\) | −0.177821 | + | 0.260816i | −0.00738362 | + | 0.0108298i | ||||
\(581\) | −6.46428 | − | 27.0199i | −0.268183 | − | 1.12097i | ||||
\(582\) | −1.70247 | − | 1.76173i | −0.0705696 | − | 0.0730259i | ||||
\(583\) | −15.9211 | + | 7.66718i | −0.659383 | + | 0.317542i | ||||
\(584\) | −18.5681 | − | 17.2287i | −0.768352 | − | 0.712927i | ||||
\(585\) | −0.0344077 | − | 0.0341887i | −0.00142258 | − | 0.00141353i | ||||
\(586\) | 8.09984 | + | 3.17895i | 0.334601 | + | 0.131321i | ||||
\(587\) | 13.7312 | − | 23.7831i | 0.566747 | − | 0.981634i | −0.430138 | − | 0.902763i | \(-0.641535\pi\) |
0.996885 | − | 0.0788710i | \(-0.0251315\pi\) | |||||||
\(588\) | 11.8805 | − | 1.38377i | 0.489945 | − | 0.0570658i | ||||
\(589\) | 5.17792 | + | 8.96842i | 0.213352 | + | 0.369537i | ||||
\(590\) | −0.128737 | − | 0.854111i | −0.00530000 | − | 0.0351632i | ||||
\(591\) | −0.811752 | + | 0.577918i | −0.0333910 | + | 0.0237724i | ||||
\(592\) | −1.78608 | + | 0.550932i | −0.0734074 | + | 0.0226432i | ||||
\(593\) | 27.8424 | + | 18.9826i | 1.14335 | + | 0.779524i | 0.978388 | − | 0.206776i | \(-0.0662970\pi\) |
0.164963 | + | 0.986300i | \(0.447249\pi\) | |||||||
\(594\) | 22.2252 | − | 14.7042i | 0.911911 | − | 0.603320i | ||||
\(595\) | 0.701510 | − | 1.24485i | 0.0287591 | − | 0.0510339i | ||||
\(596\) | 9.24665 | + | 0.692940i | 0.378757 | + | 0.0283839i | ||||
\(597\) | −10.4113 | − | 17.2162i | −0.426105 | − | 0.704613i | ||||
\(598\) | 0.742693 | − | 1.54222i | 0.0303710 | − | 0.0630660i | ||||
\(599\) | 4.57573 | − | 3.64902i | 0.186959 | − | 0.149095i | −0.525538 | − | 0.850770i | \(-0.676136\pi\) |
0.712497 | + | 0.701675i | \(0.247564\pi\) | |||||||
\(600\) | 15.7980 | − | 20.6566i | 0.644951 | − | 0.843300i | ||||
\(601\) | 4.92285 | + | 32.6610i | 0.200807 | + | 1.33227i | 0.831191 | + | 0.555987i | \(0.187659\pi\) |
−0.630384 | + | 0.776284i | \(0.717103\pi\) | |||||||
\(602\) | −9.94720 | + | 21.2188i | −0.405417 | + | 0.864813i | ||||
\(603\) | 10.1069 | − | 29.1824i | 0.411586 | − | 1.18840i | ||||
\(604\) | 1.48566 | + | 19.8248i | 0.0604507 | + | 0.806658i | ||||
\(605\) | −0.866998 | + | 0.804456i | −0.0352485 | + | 0.0327058i | ||||
\(606\) | −1.46203 | − | 1.75887i | −0.0593907 | − | 0.0714494i | ||||
\(607\) | −8.40620 | − | 4.85332i | −0.341197 | − | 0.196990i | 0.319604 | − | 0.947551i | \(-0.396450\pi\) |
−0.660801 | + | 0.750561i | \(0.729783\pi\) | |||||||
\(608\) | −5.30753 | + | 4.92467i | −0.215249 | + | 0.199722i | ||||
\(609\) | −18.2378 | + | 3.32481i | −0.739031 | + | 0.134728i | ||||
\(610\) | 0.837811 | + | 0.777375i | 0.0339220 | + | 0.0314750i | ||||
\(611\) | −0.117774 | − | 0.381814i | −0.00476463 | − | 0.0154466i | ||||
\(612\) | 13.2300 | + | 15.2747i | 0.534791 | + | 0.617441i | ||||
\(613\) | 0.553112 | + | 1.40931i | 0.0223400 | + | 0.0569214i | 0.941609 | − | 0.336710i | \(-0.109314\pi\) |
−0.919269 | + | 0.393631i | \(0.871219\pi\) | |||||||
\(614\) | 5.56236 | − | 24.3703i | 0.224479 | − | 0.983505i | ||||
\(615\) | 0.312920 | + | 0.0170723i | 0.0126181 | + | 0.000688420i | ||||
\(616\) | −2.60682 | + | 40.4402i | −0.105032 | + | 1.62938i | ||||
\(617\) | 15.5375 | + | 16.7454i | 0.625514 | + | 0.674144i | 0.963716 | − | 0.266929i | \(-0.0860091\pi\) |
−0.338202 | + | 0.941074i | \(0.609819\pi\) | |||||||
\(618\) | 17.2766 | + | 6.37904i | 0.694965 | + | 0.256603i | ||||
\(619\) | −5.45190 | + | 3.14765i | −0.219130 | + | 0.126515i | −0.605547 | − | 0.795809i | \(-0.707046\pi\) |
0.386417 | + | 0.922324i | \(0.373712\pi\) | |||||||
\(620\) | 0.162916 | − | 0.528162i | 0.00654288 | − | 0.0212115i | ||||
\(621\) | 19.2933 | − | 38.6771i | 0.774213 | − | 1.55206i | ||||
\(622\) | 11.1892 | + | 8.92311i | 0.448647 | + | 0.357784i | ||||
\(623\) | 27.9746 | + | 8.31056i | 1.12078 | + | 0.332955i | ||||
\(624\) | 0.0756204 | − | 0.365341i | 0.00302724 | − | 0.0146253i | ||||
\(625\) | 23.7997 | + | 7.34123i | 0.951987 | + | 0.293649i | ||||
\(626\) | −0.858610 | − | 1.07666i | −0.0343170 | − | 0.0430321i | ||||
\(627\) | −8.96456 | − | 9.27659i | −0.358010 | − | 0.370471i | ||||
\(628\) | 3.84821 | + | 3.06885i | 0.153560 | + | 0.122460i | ||||
\(629\) | 10.9117 | − | 5.25482i | 0.435079 | − | 0.209523i | ||||
\(630\) | −0.627042 | + | 0.0793131i | −0.0249819 | + | 0.00315991i | ||||
\(631\) | 11.5085 | + | 5.54222i | 0.458147 | + | 0.220632i | 0.648699 | − | 0.761045i | \(-0.275313\pi\) |
−0.190552 | + | 0.981677i | \(0.561028\pi\) | |||||||
\(632\) | −2.43762 | − | 5.06177i | −0.0969634 | − | 0.201347i | ||||
\(633\) | 5.30423 | + | 10.4655i | 0.210824 | + | 0.415968i | ||||
\(634\) | 10.5025 | − | 5.05773i | 0.417107 | − | 0.200868i | ||||
\(635\) | 0.281142 | − | 0.0423753i | 0.0111568 | − | 0.00168161i | ||||
\(636\) | −2.05296 | + | 5.56009i | −0.0814051 | + | 0.220472i | ||||
\(637\) | 1.13706 | + | 0.868612i | 0.0450521 | + | 0.0344157i | ||||
\(638\) | − | 20.7473i | − | 0.821393i | ||||||
\(639\) | −0.0815469 | + | 0.130705i | −0.00322595 | + | 0.00517063i | ||||
\(640\) | 0.218002 | + | 0.0163370i | 0.00861729 | + | 0.000645777i | ||||
\(641\) | 1.15218 | + | 3.73526i | 0.0455082 | + | 0.147534i | 0.975475 | − | 0.220109i | \(-0.0706412\pi\) |
−0.929967 | + | 0.367643i | \(0.880165\pi\) | |||||||
\(642\) | −5.55035 | + | 12.1502i | −0.219055 | + | 0.479531i | ||||
\(643\) | 19.7213 | − | 1.47791i | 0.777732 | − | 0.0582829i | 0.320052 | − | 0.947400i | \(-0.396300\pi\) |
0.457680 | + | 0.889117i | \(0.348681\pi\) | |||||||
\(644\) | 9.62342 | + | 19.4615i | 0.379216 | + | 0.766889i | ||||
\(645\) | −0.500848 | + | 1.09640i | −0.0197209 | + | 0.0431708i | ||||
\(646\) | −6.26582 | + | 7.85709i | −0.246526 | + | 0.309133i | ||||
\(647\) | −8.50544 | + | 5.79891i | −0.334383 | + | 0.227979i | −0.718858 | − | 0.695157i | \(-0.755335\pi\) |
0.384475 | + | 0.923136i | \(0.374383\pi\) | |||||||
\(648\) | 5.85272 | − | 26.4187i | 0.229917 | − | 1.03783i | ||||
\(649\) | −37.5863 | − | 40.5084i | −1.47539 | − | 1.59010i | ||||
\(650\) | 1.01616 | − | 0.153161i | 0.0398570 | − | 0.00600747i | ||||
\(651\) | 28.7988 | − | 14.9755i | 1.12872 | − | 0.586937i | ||||
\(652\) | −0.525902 | − | 0.0792670i | −0.0205959 | − | 0.00310433i | ||||
\(653\) | 13.7639 | + | 20.1880i | 0.538625 | + | 0.790017i | 0.995011 | − | 0.0997645i | \(-0.0318090\pi\) |
−0.456387 | + | 0.889782i | \(0.650857\pi\) | |||||||
\(654\) | 15.5903 | + | 2.02719i | 0.609627 | + | 0.0792693i | ||||
\(655\) | 0.267543 | + | 0.463398i | 0.0104538 | + | 0.0181065i | ||||
\(656\) | 1.20522 | + | 2.08751i | 0.0470560 | + | 0.0815035i | ||||
\(657\) | −1.02565 | − | 25.2535i | −0.0400144 | − | 0.985234i | ||||
\(658\) | −4.86613 | − | 1.85149i | −0.189702 | − | 0.0721787i | ||||
\(659\) | 6.26632 | − | 6.75349i | 0.244101 | − | 0.263079i | −0.599103 | − | 0.800672i | \(-0.704476\pi\) |
0.843204 | + | 0.537593i | \(0.180666\pi\) | |||||||
\(660\) | −0.0375086 | + | 0.687501i | −0.00146002 | + | 0.0267609i | ||||
\(661\) | −4.63850 | − | 3.69908i | −0.180417 | − | 0.143878i | 0.529117 | − | 0.848549i | \(-0.322523\pi\) |
−0.709534 | + | 0.704671i | \(0.751095\pi\) | |||||||
\(662\) | −11.6365 | − | 9.27978i | −0.452264 | − | 0.360669i | ||||
\(663\) | −0.131695 | + | 2.41385i | −0.00511459 | + | 0.0937460i | ||||
\(664\) | 21.4740 | − | 23.1435i | 0.833354 | − | 0.898142i | ||||
\(665\) | 0.0932265 | + | 0.291409i | 0.00361517 | + | 0.0113004i | ||||
\(666\) | −4.74419 | − | 2.48804i | −0.183834 | − | 0.0964095i | ||||
\(667\) | −16.8250 | − | 29.1417i | −0.651466 | − | 1.12837i | ||||
\(668\) | −5.49292 | − | 9.51402i | −0.212527 | − | 0.368108i | ||||
\(669\) | 25.6595 | + | 3.33649i | 0.992054 | + | 0.128996i | ||||
\(670\) | −0.461772 | − | 0.677294i | −0.0178398 | − | 0.0261662i | ||||
\(671\) | 72.3022 | + | 10.8978i | 2.79120 | + | 0.420705i | ||||
\(672\) | 14.6881 | + | 17.3002i | 0.566606 | + | 0.667368i | ||||
\(673\) | 34.5137 | − | 5.20211i | 1.33041 | − | 0.200526i | 0.554927 | − | 0.831899i | \(-0.312746\pi\) |
0.775479 | + | 0.631373i | \(0.217508\pi\) | |||||||
\(674\) | −0.611644 | − | 0.659195i | −0.0235596 | − | 0.0253912i | ||||
\(675\) | 25.7098 | − | 3.51006i | 0.989569 | − | 0.135102i | ||||
\(676\) | 10.5622 | − | 7.20118i | 0.406238 | − | 0.276968i | ||||
\(677\) | −2.77881 | + | 3.48451i | −0.106798 | + | 0.133921i | −0.832358 | − | 0.554239i | \(-0.813010\pi\) |
0.725560 | + | 0.688159i | \(0.241581\pi\) | |||||||
\(678\) | −11.0088 | + | 24.0993i | −0.422790 | + | 0.925526i | ||||
\(679\) | 2.93033 | + | 2.28728i | 0.112456 | + | 0.0877777i | ||||
\(680\) | 1.61924 | − | 0.121345i | 0.0620951 | − | 0.00465339i | ||||
\(681\) | −9.68586 | + | 21.2032i | −0.371163 | + | 0.812510i | ||||
\(682\) | 10.7077 | + | 34.7136i | 0.410021 | + | 1.32925i | ||||
\(683\) | −8.43324 | − | 0.631984i | −0.322689 | − | 0.0241822i | −0.0875990 | − | 0.996156i | \(-0.527919\pi\) |
−0.235090 | + | 0.971974i | \(0.575538\pi\) | |||||||
\(684\) | −4.32433 | − | 0.147985i | −0.165345 | − | 0.00565833i | ||||
\(685\) | − | 1.47785i | − | 0.0564658i | ||||||
\(686\) | 18.0386 | − | 4.71537i | 0.688717 | − | 0.180034i | ||||
\(687\) | −15.0933 | + | 40.8777i | −0.575845 | + | 1.55958i | ||||
\(688\) | −9.16782 | + | 1.38183i | −0.349520 | + | 0.0526816i | ||||
\(689\) | −0.638829 | + | 0.307644i | −0.0243374 | + | 0.0117203i | ||||
\(690\) | −0.518647 | − | 1.02332i | −0.0197445 | − | 0.0389571i | ||||
\(691\) | −9.77409 | − | 20.2961i | −0.371824 | − | 0.772100i | 0.628158 | − | 0.778086i | \(-0.283809\pi\) |
−0.999982 | + | 0.00598559i | \(0.998095\pi\) | |||||||
\(692\) | −0.592369 | − | 0.285270i | −0.0225185 | − | 0.0108443i | ||||
\(693\) | −30.2868 | + | 26.7905i | −1.15050 | + | 1.01769i | ||||
\(694\) | −3.68770 | + | 1.77590i | −0.139983 | + | 0.0674124i | ||||
\(695\) | −1.04050 | − | 0.829773i | −0.0394685 | − | 0.0314751i | ||||
\(696\) | −14.6394 | − | 15.1490i | −0.554905 | − | 0.574220i | ||||
\(697\) | −9.73810 | − | 12.2112i | −0.368857 | − | 0.462532i | ||||
\(698\) | −14.8010 | − | 4.56552i | −0.560228 | − | 0.172807i | ||||
\(699\) | 0.994333 | − | 4.80387i | 0.0376091 | − | 0.181699i | ||||
\(700\) | −6.39895 | + | 11.3551i | −0.241858 | + | 0.429184i | ||||
\(701\) | 3.67674 | + | 2.93210i | 0.138868 | + | 0.110744i | 0.690460 | − | 0.723370i | \(-0.257408\pi\) |
−0.551592 | + | 0.834114i | \(0.685979\pi\) | |||||||
\(702\) | 0.891781 | − | 0.590002i | 0.0336581 | − | 0.0222682i | ||||
\(703\) | −0.764370 | + | 2.47803i | −0.0288288 | + | 0.0934606i | ||||
\(704\) | −31.2939 | + | 18.0676i | −1.17943 | + | 0.680947i | ||||
\(705\) | −0.251222 | − | 0.0927588i | −0.00946155 | − | 0.00349350i | ||||
\(706\) | 11.1266 | + | 11.9916i | 0.418756 | + | 0.451311i | ||||
\(707\) | 2.56845 | + | 2.33381i | 0.0965966 | + | 0.0877719i | ||||
\(708\) | −18.5071 | − | 1.00971i | −0.695539 | − | 0.0379472i | ||||
\(709\) | −5.28569 | + | 23.1581i | −0.198508 | + | 0.869722i | 0.773317 | + | 0.634019i | \(0.218596\pi\) |
−0.971825 | + | 0.235702i | \(0.924261\pi\) | |||||||
\(710\) | 0.00149394 | + | 0.00380650i | 5.60666e−5 | + | 0.000142855i | ||||
\(711\) | 1.83459 | − | 5.29714i | 0.0688026 | − | 0.198658i | ||||
\(712\) | 9.77495 | + | 31.6896i | 0.366332 | + | 1.18762i | ||||
\(713\) | 43.1911 | + | 40.0755i | 1.61752 | + | 1.50084i | ||||
\(714\) | 23.7383 | + | 20.7059i | 0.888385 | + | 0.774900i | ||||
\(715\) | −0.0603800 | + | 0.0560245i | −0.00225809 | + | 0.00209520i | ||||
\(716\) | −21.0526 | − | 12.1547i | −0.786772 | − | 0.454243i | ||||
\(717\) | −0.146938 | − | 0.176772i | −0.00548750 | − | 0.00660168i | ||||
\(718\) | −24.7684 | + | 22.9817i | −0.924347 | + | 0.857669i | ||||
\(719\) | −2.39997 | − | 32.0254i | −0.0895037 | − | 1.19434i | −0.843376 | − | 0.537323i | \(-0.819435\pi\) |
0.753873 | − | 0.657021i | \(-0.228184\pi\) | |||||||
\(720\) | −0.163709 | − | 0.189010i | −0.00610108 | − | 0.00704399i | ||||
\(721\) | −27.3068 | − | 5.93371i | −1.01696 | − | 0.220983i | ||||
\(722\) | 2.53012 | + | 16.7863i | 0.0941614 | + | 0.624720i | ||||
\(723\) | 9.25990 | − | 12.1077i | 0.344379 | − | 0.450290i | ||||
\(724\) | 6.69044 | − | 5.33545i | 0.248648 | − | 0.198290i | ||||
\(725\) | 8.76518 | − | 18.2011i | 0.325531 | − | 0.675971i | ||||
\(726\) | −13.4920 | − | 22.3106i | −0.500735 | − | 0.828022i | ||||
\(727\) | 17.4327 | + | 1.30640i | 0.646542 | + | 0.0484516i | 0.393965 | − | 0.919125i | \(-0.371103\pi\) |
0.252576 | + | 0.967577i | \(0.418722\pi\) | |||||||
\(728\) | −0.104598 | + | 1.62265i | −0.00387665 | + | 0.0601395i | ||||
\(729\) | 22.7230 | − | 14.5831i | 0.841591 | − | 0.540116i | ||||
\(730\) | −0.554290 | − | 0.377909i | −0.0205152 | − | 0.0139870i | ||||
\(731\) | 57.4057 | − | 17.7073i | 2.12323 | − | 0.654929i | ||||
\(732\) | 19.9786 | − | 14.2236i | 0.738431 | − | 0.525719i | ||||
\(733\) | 3.13153 | + | 20.7764i | 0.115666 | + | 0.767392i | 0.969186 | + | 0.246332i | \(0.0792253\pi\) |
−0.853520 | + | 0.521060i | \(0.825537\pi\) | |||||||
\(734\) | 0.705995 | + | 1.22282i | 0.0260587 | + | 0.0451350i | ||||
\(735\) | 0.925393 | − | 0.251683i | 0.0341337 | − | 0.00928348i | ||||
\(736\) | −20.5969 | + | 35.6749i | −0.759213 | + | 1.31500i | ||||
\(737\) | −48.8181 | − | 19.1597i | −1.79824 | − | 0.705757i | ||||
\(738\) | −1.76674 | + | 6.67878i | −0.0650347 | + | 0.245849i | ||||
\(739\) | −28.0191 | − | 25.9979i | −1.03070 | − | 0.956348i | −0.0316292 | − | 0.999500i | \(-0.510070\pi\) |
−0.999069 | + | 0.0431519i | \(0.986260\pi\) | |||||||
\(740\) | 0.124701 | − | 0.0600528i | 0.00458410 | − | 0.00220759i | ||||
\(741\) | −0.359701 | − | 0.372221i | −0.0132139 | − | 0.0136739i | ||||
\(742\) | −1.96185 | + | 9.02839i | −0.0720218 | + | 0.331443i | ||||
\(743\) | −3.80843 | + | 5.58594i | −0.139718 | + | 0.204928i | −0.889720 | − | 0.456507i | \(-0.849100\pi\) |
0.750002 | + | 0.661436i | \(0.230053\pi\) | |||||||
\(744\) | 32.3126 | + | 17.7913i | 1.18464 | + | 0.652260i | ||||
\(745\) | 0.741387 | − | 0.0555593i | 0.0271623 | − | 0.00203554i | ||||
\(746\) | −0.111254 | − | 0.738121i | −0.00407329 | − | 0.0270245i | ||||
\(747\) | 31.4763 | − | 1.27838i | 1.15166 | − | 0.0467736i | ||||
\(748\) | 26.8286 | − | 21.3951i | 0.980951 | − | 0.782282i | ||||
\(749\) | 5.77192 | − | 19.4291i | 0.210901 | − | 0.709925i | ||||
\(750\) | 0.664811 | − | 1.20743i | 0.0242755 | − | 0.0440892i | ||||
\(751\) | −23.3792 | + | 15.9397i | −0.853120 | + | 0.581647i | −0.909003 | − | 0.416790i | \(-0.863155\pi\) |
0.0558831 | + | 0.998437i | \(0.482203\pi\) | |||||||
\(752\) | −0.458352 | − | 2.00817i | −0.0167144 | − | 0.0732305i | ||||
\(753\) | −5.06511 | − | 29.5257i | −0.184583 | − | 1.07598i | ||||
\(754\) | − | 0.832480i | − | 0.0303171i | ||||||
\(755\) | 0.354696 | + | 1.55402i | 0.0129087 | + | 0.0565567i | ||||
\(756\) | −1.06063 | + | 13.5208i | −0.0385747 | + | 0.491746i | ||||
\(757\) | 3.21154 | − | 14.0707i | 0.116725 | − | 0.511407i | −0.882435 | − | 0.470435i | \(-0.844097\pi\) |
0.999160 | − | 0.0409728i | \(-0.0130457\pi\) | |||||||
\(758\) | −3.65404 | − | 0.834010i | −0.132721 | − | 0.0302926i | ||||
\(759\) | −64.2949 | − | 35.4007i | −2.33376 | − | 1.28496i | ||||
\(760\) | −0.216778 | + | 0.271831i | −0.00786337 | + | 0.00986036i | ||||
\(761\) | 12.1538 | + | 11.2771i | 0.440576 | + | 0.408794i | 0.869022 | − | 0.494773i | \(-0.164749\pi\) |
−0.428447 | + | 0.903567i | \(0.640939\pi\) | |||||||
\(762\) | −0.341446 | + | 6.25840i | −0.0123693 | + | 0.226718i | ||||
\(763\) | −23.8534 | + | 0.248749i | −0.863550 | + | 0.00900533i | ||||
\(764\) | 16.3221 | − | 3.72542i | 0.590514 | − | 0.134781i | ||||
\(765\) | 1.23145 | + | 1.05293i | 0.0445233 | + | 0.0380687i | ||||
\(766\) | 19.8248 | + | 11.4459i | 0.716300 | + | 0.413556i | ||||
\(767\) | −1.50814 | − | 1.62539i | −0.0544559 | − | 0.0586895i | ||||
\(768\) | −8.09129 | + | 28.2549i | −0.291969 | + | 1.01956i | ||||
\(769\) | 6.83439 | − | 45.3432i | 0.246454 | − | 1.63512i | −0.432995 | − | 0.901396i | \(-0.642543\pi\) |
0.679450 | − | 0.733722i | \(-0.262219\pi\) | |||||||
\(770\) | 0.0913625 | + | 1.06938i | 0.00329248 | + | 0.0385379i | ||||
\(771\) | 3.28583 | + | 9.93209i | 0.118336 | + | 0.357696i | ||||
\(772\) | 3.78837 | + | 16.5979i | 0.136346 | + | 0.597373i | ||||
\(773\) | −6.02851 | + | 0.908652i | −0.216830 | + | 0.0326819i | −0.256559 | − | 0.966529i | \(-0.582589\pi\) |
0.0397285 | + | 0.999211i | \(0.487351\pi\) | |||||||
\(774\) | −21.4304 | − | 15.7109i | −0.770298 | − | 0.564717i | ||||
\(775\) | −5.27196 | + | 34.9772i | −0.189374 | + | 1.25642i | ||||
\(776\) | −0.315682 | + | 4.21249i | −0.0113323 | + | 0.151219i | ||||
\(777\) | 7.65413 | + | 2.73579i | 0.274590 | + | 0.0981458i | ||||
\(778\) | −1.12499 | − | 15.0119i | −0.0403328 | − | 0.538204i | ||||
\(779\) | 3.33493 | + | 0.249919i | 0.119486 | + | 0.00895426i | ||||
\(780\) | −0.00150503 | + | 0.0275858i | −5.38885e−5 | + | 0.000987730i | ||||
\(781\) | 0.216152 | + | 0.147370i | 0.00773452 | + | 0.00527331i | ||||
\(782\) | −20.8892 | + | 53.2248i | −0.746996 | + | 1.90332i | ||||
\(783\) | 0.292430 | − | 21.0185i | 0.0104506 | − | 0.751139i | ||||
\(784\) | 5.51070 | + | 4.90334i | 0.196811 | + | 0.175119i | ||||
\(785\) | 0.341773 | + | 0.197323i | 0.0121984 | + | 0.00704275i | ||||
\(786\) | −11.1989 | + | 3.70493i | −0.399452 | + | 0.132150i | ||||
\(787\) | −10.6293 | − | 22.0720i | −0.378894 | − | 0.786781i | −0.999995 | − | 0.00305074i | \(-0.999029\pi\) |
0.621102 | − | 0.783730i | \(-0.286685\pi\) | |||||||
\(788\) | 0.553317 | + | 0.126291i | 0.0197111 | + | 0.00449893i | ||||
\(789\) | 33.4341 | + | 15.2730i | 1.19029 | + | 0.543735i | ||||
\(790\) | −0.0838200 | − | 0.122941i | −0.00298218 | − | 0.00437406i | ||||
\(791\) | 11.4483 | − | 38.5366i | 0.407053 | − | 1.37020i | ||||
\(792\) | −44.4221 | − | 11.7510i | −1.57847 | − | 0.417554i | ||||
\(793\) | 2.90111 | + | 0.437272i | 0.103021 | + | 0.0155280i | ||||
\(794\) | −1.06655 | − | 14.2321i | −0.0378503 | − | 0.505078i | ||||
\(795\) | −0.0963222 | + | 0.465357i | −0.00341620 | + | 0.0165045i | ||||
\(796\) | −3.37769 | + | 10.9502i | −0.119719 | + | 0.388120i | ||||
\(797\) | −17.8630 | + | 45.5142i | −0.632740 | + | 1.61220i | 0.149174 | + | 0.988811i | \(0.452338\pi\) |
−0.781915 | + | 0.623385i | \(0.785757\pi\) | |||||||
\(798\) | −6.70726 | + | 0.710413i | −0.237434 | + | 0.0251484i | ||||
\(799\) | 4.87612 | + | 12.4241i | 0.172505 | + | 0.439535i | ||||
\(800\) | −24.6615 | + | 1.84812i | −0.871915 | + | 0.0653410i | ||||
\(801\) | −15.3686 | + | 29.3049i | −0.543023 | + | 1.03544i | ||||
\(802\) | −1.00902 | + | 1.74767i | −0.0356297 | + | 0.0617124i | ||||
\(803\) | −42.9190 | −1.51458 | ||||||||
\(804\) | −16.2402 | + | 6.75728i | −0.572746 | + | 0.238311i | ||||
\(805\) | 0.995544 | + | 1.42797i | 0.0350883 | + | 0.0503294i | ||||
\(806\) | 0.429646 | + | 1.39288i | 0.0151336 | + | 0.0490620i | ||||
\(807\) | −13.7956 | + | 21.1440i | −0.485629 | + | 0.744305i | ||||
\(808\) | −0.587776 | + | 3.89964i | −0.0206779 | + | 0.137189i | ||||
\(809\) | 33.0772 | − | 12.9819i | 1.16293 | − | 0.456418i | 0.296169 | − | 0.955136i | \(-0.404291\pi\) |
0.866764 | + | 0.498718i | \(0.166196\pi\) | |||||||
\(810\) | 0.0489930 | − | 0.714987i | 0.00172144 | − | 0.0251221i | ||||
\(811\) | −23.2386 | − | 5.30407i | −0.816019 | − | 0.186251i | −0.205913 | − | 0.978570i | \(-0.566016\pi\) |
−0.610107 | + | 0.792319i | \(0.708873\pi\) | |||||||
\(812\) | 8.32338 | + | 6.49684i | 0.292093 | + | 0.227995i | ||||
\(813\) | 28.8679 | − | 37.7459i | 1.01244 | − | 1.32381i | ||||
\(814\) | −4.54845 | + | 7.87815i | −0.159423 | + | 0.276129i | ||||
\(815\) | −0.0426426 | −0.00149371 | ||||||||
\(816\) | −1.60692 | + | 12.3582i | −0.0562536 | + | 0.432622i | ||||
\(817\) | −5.58114 | + | 11.5894i | −0.195259 | + | 0.405460i | ||||
\(818\) | 9.64162 | − | 12.0902i | 0.337111 | − | 0.422724i | ||||
\(819\) | −1.21525 | + | 1.07496i | −0.0424643 | + | 0.0375622i | ||||
\(820\) | −0.111288 | − | 0.139551i | −0.00388636 | − | 0.00487334i | ||||
\(821\) | 19.2079 | − | 4.38408i | 0.670360 | − | 0.153005i | 0.126223 | − | 0.992002i | \(-0.459714\pi\) |
0.544137 | + | 0.838996i | \(0.316857\pi\) | |||||||
\(822\) | 31.9027 | + | 6.60340i | 1.11273 | + | 0.230320i | ||||
\(823\) | −28.0695 | − | 13.5175i | −0.978441 | − | 0.471192i | −0.124872 | − | 0.992173i | \(-0.539852\pi\) |
−0.853568 | + | 0.520981i | \(0.825566\pi\) | |||||||
\(824\) | −11.6014 | − | 29.5600i | −0.404156 | − | 1.02977i | ||||
\(825\) | −4.18393 | − | 43.8643i | −0.145666 | − | 1.52716i | ||||
\(826\) | −28.7871 | + | 2.45942i | −1.00163 | + | 0.0855742i | ||||
\(827\) | −18.7289 | + | 38.8909i | −0.651267 | + | 1.35237i | 0.269782 | + | 0.962921i | \(0.413048\pi\) |
−0.921049 | + | 0.389448i | \(0.872666\pi\) | |||||||
\(828\) | −23.7584 | + | 6.44740i | −0.825663 | + | 0.224063i | ||||
\(829\) | 29.6022 | − | 31.9036i | 1.02813 | − | 1.10806i | 0.0340472 | − | 0.999420i | \(-0.489160\pi\) |
0.994081 | − | 0.108639i | \(-0.0346492\pi\) | |||||||
\(830\) | 0.471030 | − | 0.690875i | 0.0163497 | − | 0.0239806i | ||||
\(831\) | −20.6892 | − | 4.28237i | −0.717701 | − | 0.148554i | ||||
\(832\) | −1.25566 | + | 0.724956i | −0.0435322 | + | 0.0251333i | ||||
\(833\) | −40.0436 | − | 26.0949i | −1.38743 | − | 0.904134i | ||||
\(834\) | 22.5617 | − | 18.7539i | 0.781247 | − | 0.649394i | ||||
\(835\) | −0.549191 | − | 0.688664i | −0.0190055 | − | 0.0238322i | ||||
\(836\) | −0.549084 | + | 7.32702i | −0.0189905 | + | 0.253410i | ||||
\(837\) | 10.3584 | + | 35.3183i | 0.358039 | + | 1.22078i | ||||
\(838\) | −0.710558 | + | 1.04220i | −0.0245458 | + | 0.0360021i | ||||
\(839\) | 16.3180 | − | 11.1254i | 0.563361 | − | 0.384093i | −0.247893 | − | 0.968788i | \(-0.579738\pi\) |
0.811254 | + | 0.584694i | \(0.198786\pi\) | |||||||
\(840\) | 0.821274 | + | 0.716362i | 0.0283366 | + | 0.0247168i | ||||
\(841\) | 10.4393 | + | 7.11741i | 0.359977 | + | 0.245428i | ||||
\(842\) | 7.64031 | − | 2.99860i | 0.263302 | − | 0.103339i | ||||
\(843\) | −9.00129 | + | 8.69852i | −0.310021 | + | 0.299593i | ||||
\(844\) | 2.44146 | − | 6.22073i | 0.0840384 | − | 0.214126i | ||||
\(845\) | 0.751353 | − | 0.697153i | 0.0258473 | − | 0.0239828i | ||||
\(846\) | 3.12492 | − | 5.00870i | 0.107437 | − | 0.172203i | ||||
\(847\) | 24.9871 | + | 30.6712i | 0.858568 | + | 1.05388i | ||||
\(848\) | −3.40255 | + | 1.33540i | −0.116844 | + | 0.0458580i | ||||
\(849\) | −47.6624 | − | 13.6490i | −1.63577 | − | 0.468431i | ||||
\(850\) | −33.4656 | + | 7.63830i | −1.14786 | + | 0.261992i | ||||
\(851\) | 14.7542i | 0.505769i | ||||||||
\(852\) | 0.0864824 | − | 0.0148360i | 0.00296284 | − | 0.000508273i | ||||
\(853\) | 4.79338 | − | 15.5398i | 0.164122 | − | 0.532072i | −0.835732 | − | 0.549137i | \(-0.814956\pi\) |
0.999854 | + | 0.0170660i | \(0.00543253\pi\) | |||||||
\(854\) | 27.7514 | − | 26.2933i | 0.949633 | − | 0.899740i | ||||
\(855\) | −0.344617 | + | 0.0399433i | −0.0117856 | + | 0.00136603i | ||||
\(856\) | 22.0093 | − | 6.78898i | 0.752264 | − | 0.232043i | ||||
\(857\) | 46.2531 | + | 6.97153i | 1.57998 | + | 0.238143i | 0.879629 | − | 0.475660i | \(-0.157791\pi\) |
0.700347 | + | 0.713803i | \(0.253029\pi\) | |||||||
\(858\) | −0.939619 | − | 1.55377i | −0.0320781 | − | 0.0530447i | ||||
\(859\) | −3.32551 | + | 3.58405i | −0.113465 | + | 0.122286i | −0.787230 | − | 0.616660i | \(-0.788486\pi\) |
0.673765 | + | 0.738946i | \(0.264676\pi\) | |||||||
\(860\) | 0.656041 | − | 0.202362i | 0.0223708 | − | 0.00690049i | ||||
\(861\) | 1.24318 | − | 10.4085i | 0.0423674 | − | 0.354720i | ||||
\(862\) | 12.5096 | + | 3.85869i | 0.426077 | + | 0.131427i | ||||
\(863\) | −31.5456 | + | 18.2129i | −1.07382 | + | 0.619973i | −0.929224 | − | 0.369517i | \(-0.879523\pi\) |
−0.144601 | + | 0.989490i | \(0.546190\pi\) | |||||||
\(864\) | −22.4623 | + | 12.5552i | −0.764183 | + | 0.427138i | ||||
\(865\) | −0.0503740 | − | 0.0155383i | −0.00171277 | − | 0.000528319i | ||||
\(866\) | 8.49894 | + | 4.09287i | 0.288806 | + | 0.139082i | ||||
\(867\) | −1.04121 | − | 51.2945i | −0.0353614 | − | 1.74205i | ||||
\(868\) | −17.2794 | − | 6.57457i | −0.586502 | − | 0.223156i | ||||
\(869\) | −8.86138 | − | 3.47784i | −0.300602 | − | 0.117977i | ||||
\(870\) | −0.443192 | − | 0.338951i | −0.0150256 | − | 0.0114915i | ||||
\(871\) | −1.95882 | − | 0.768778i | −0.0663719 | − | 0.0260491i | ||||
\(872\) | −15.2705 | − | 22.3977i | −0.517124 | − | 0.758482i | ||||
\(873\) | −3.18609 | + | 2.75961i | −0.107833 | + | 0.0933985i | ||||
\(874\) | −5.31196 | − | 11.0304i | −0.179680 | − | 0.373109i | ||||
\(875\) | −0.743739 | + | 1.95471i | −0.0251430 | + | 0.0660812i | ||||
\(876\) | −10.3517 | + | 10.0035i | −0.349750 | + | 0.337986i | ||||
\(877\) | 1.99222 | − | 26.5843i | 0.0672723 | − | 0.897687i | −0.856844 | − | 0.515576i | \(-0.827578\pi\) |
0.924116 | − | 0.382111i | \(-0.124803\pi\) | |||||||
\(878\) | −6.99172 | + | 30.6327i | −0.235959 | + | 1.03381i | ||||
\(879\) | 6.22040 | − | 13.6170i | 0.209809 | − | 0.459291i | ||||
\(880\) | −0.331980 | + | 0.264745i | −0.0111910 | + | 0.00892455i | ||||
\(881\) | −39.4451 | −1.32894 | −0.664469 | − | 0.747316i | \(-0.731342\pi\) | ||||
−0.664469 | + | 0.747316i | \(0.731342\pi\) | |||||||
\(882\) | 1.29825 | + | 21.1012i | 0.0437145 | + | 0.710516i | ||||
\(883\) | 25.4687 | 0.857091 | 0.428546 | − | 0.903520i | \(-0.359026\pi\) | ||||
0.428546 | + | 0.903520i | \(0.359026\pi\) | |||||||
\(884\) | 1.07649 | − | 0.858473i | 0.0362063 | − | 0.0288736i | ||||
\(885\) | −1.47937 | + | 0.141108i | −0.0497286 | + | 0.00474328i | ||||
\(886\) | 1.10809 | − | 4.85484i | 0.0372268 | − | 0.163101i | ||||
\(887\) | −1.00572 | + | 13.4204i | −0.0337688 | + | 0.450613i | 0.954533 | + | 0.298104i | \(0.0963544\pi\) |
−0.988302 | + | 0.152509i | \(0.951265\pi\) | |||||||
\(888\) | 2.23774 | + | 8.96177i | 0.0750938 | + | 0.300737i | ||||
\(889\) | −0.809549 | − | 9.47565i | −0.0271514 | − | 0.317803i | ||||
\(890\) | 0.381089 | + | 0.791338i | 0.0127741 | + | 0.0265257i | ||||
\(891\) | −23.1777 | − | 39.5596i | −0.776483 | − | 1.32530i | ||||
\(892\) | −8.30208 | − | 12.1769i | −0.277974 | − | 0.407713i | ||||
\(893\) | −2.66026 | − | 1.04408i | −0.0890223 | − | 0.0349387i | ||||
\(894\) | −2.11333 | + | 16.2527i | −0.0706803 | + | 0.543573i | ||||
\(895\) | −1.81437 | − | 0.712089i | −0.0606478 | − | 0.0238025i | ||||
\(896\) | 1.01440 | − | 7.24173i | 0.0338888 | − | 0.241929i | ||||
\(897\) | −2.57982 | − | 1.42044i | −0.0861376 | − | 0.0474273i | ||||
\(898\) | 13.3168 | + | 6.41303i | 0.444387 | + | 0.214005i | ||||
\(899\) | 27.3818 | + | 8.44615i | 0.913233 | + | 0.281695i | ||||
\(900\) | −11.2329 | − | 9.60447i | −0.374431 | − | 0.320149i | ||||
\(901\) | 20.5113 | − | 11.8422i | 0.683329 | − | 0.394520i | ||||
\(902\) | 11.2103 | + | 3.45792i | 0.373263 | + | 0.115136i | ||||
\(903\) | 35.5201 | + | 19.0774i | 1.18204 | + | 0.634856i | ||||
\(904\) | 43.6542 | − | 13.4655i | 1.45192 | − | 0.447857i | ||||
\(905\) | 0.466682 | − | 0.502964i | 0.0155130 | − | 0.0167191i | ||||
\(906\) | −35.1319 | + | 0.713131i | −1.16718 | + | 0.0236922i | ||||
\(907\) | 15.3343 | + | 2.31127i | 0.509167 | + | 0.0767445i | 0.398601 | − | 0.917124i | \(-0.369496\pi\) |
0.110565 | + | 0.993869i | \(0.464734\pi\) | |||||||
\(908\) | 12.6871 | − | 3.91346i | 0.421037 | − | 0.129873i | ||||
\(909\) | −3.15866 | + | 2.34681i | −0.104766 | + | 0.0778387i | ||||
\(910\) | 0.00366590 | + | 0.0429088i | 0.000121523 | + | 0.00142241i | ||||
\(911\) | 1.83868 | − | 5.96086i | 0.0609182 | − | 0.197492i | −0.919998 | − | 0.391923i | \(-0.871810\pi\) |
0.980916 | + | 0.194431i | \(0.0622861\pi\) | |||||||
\(912\) | −1.70573 | − | 2.05206i | −0.0564822 | − | 0.0679503i | ||||
\(913\) | − | 53.4949i | − | 1.77042i | ||||||
\(914\) | 29.0670 | − | 6.63435i | 0.961450 | − | 0.219445i | ||||
\(915\) | 1.41400 | − | 1.36644i | 0.0467455 | − | 0.0451732i | ||||
\(916\) | 23.1032 | − | 9.06733i | 0.763351 | − | 0.299593i | ||||
\(917\) | 16.0438 | − | 7.93346i | 0.529815 | − | 0.261986i | ||||
\(918\) | −28.2322 | + | 21.8789i | −0.931802 | + | 0.722111i | ||||
\(919\) | −37.0176 | + | 34.3473i | −1.22110 | + | 1.13301i | −0.234111 | + | 0.972210i | \(0.575218\pi\) |
−0.986987 | + | 0.160803i | \(0.948592\pi\) | |||||||
\(920\) | −0.722702 | + | 1.84142i | −0.0238268 | + | 0.0607097i | ||||
\(921\) | −41.3452 | − | 11.8399i | −1.36237 | − | 0.390139i | ||||
\(922\) | −23.5125 | + | 9.22799i | −0.774344 | + | 0.303908i | ||||
\(923\) | 0.00867304 | + | 0.00591318i | 0.000285477 | + | 0.000194635i | ||||
\(924\) | 22.8680 | + | 2.73133i | 0.752302 | + | 0.0898542i | ||||
\(925\) | −7.31855 | + | 4.98970i | −0.240632 | + | 0.164060i | ||||
\(926\) | 13.5974 | − | 19.9437i | 0.446839 | − | 0.655392i | ||||
\(927\) | 12.5780 | − | 29.0821i | 0.413117 | − | 0.955181i | ||||
\(928\) | −1.49715 | + | 19.9781i | −0.0491464 | + | 0.655813i | ||||
\(929\) | −1.50060 | − | 1.88169i | −0.0492331 | − | 0.0617363i | 0.756605 | − | 0.653872i | \(-0.226856\pi\) |
−0.805838 | + | 0.592135i | \(0.798285\pi\) | |||||||
\(930\) | 0.916468 | + | 0.338388i | 0.0300522 | + | 0.0110962i | ||||
\(931\) | 9.92779 | − | 2.48487i | 0.325370 | − | 0.0814382i | ||||
\(932\) | −2.41977 | + | 1.39705i | −0.0792622 | + | 0.0457620i | ||||
\(933\) | 16.3780 | − | 18.3860i | 0.536193 | − | 0.601931i | ||||
\(934\) | 6.52007 | − | 9.56318i | 0.213343 | − | 0.312917i | ||||
\(935\) | 1.87139 | − | 2.01688i | 0.0612011 | − | 0.0659591i | ||||
\(936\) | −1.78242 | − | 0.471507i | −0.0582604 | − | 0.0154117i | ||||
\(937\) | −4.33804 | + | 9.00804i | −0.141718 | + | 0.294280i | −0.959732 | − | 0.280919i | \(-0.909361\pi\) |
0.818014 | + | 0.575198i | \(0.195075\pi\) | |||||||
\(938\) | −23.6016 | + | 13.9565i | −0.770620 | + | 0.455697i | ||||
\(939\) | −1.93011 | + | 1.37412i | −0.0629868 | + | 0.0448428i | ||||
\(940\) | 0.0557250 | + | 0.141985i | 0.00181755 | + | 0.00463104i | ||||
\(941\) | −4.95465 | − | 2.38603i | −0.161517 | − | 0.0777824i | 0.351379 | − | 0.936233i | \(-0.385713\pi\) |
−0.512896 | + | 0.858451i | \(0.671427\pi\) | |||||||
\(942\) | −5.78677 | + | 6.49623i | −0.188543 | + | 0.211659i | ||||
\(943\) | 18.5503 | − | 4.23398i | 0.604080 | − | 0.137877i | ||||
\(944\) | −7.12677 | − | 8.93668i | −0.231956 | − | 0.290864i | ||||
\(945\) | 0.0774839 | + | 1.08465i | 0.00252055 | + | 0.0352837i | ||||
\(946\) | −28.1339 | + | 35.2788i | −0.914712 | + | 1.14701i | ||||
\(947\) | −5.72435 | + | 11.8867i | −0.186016 | + | 0.386267i | −0.973033 | − | 0.230664i | \(-0.925910\pi\) |
0.787017 | + | 0.616931i | \(0.211624\pi\) | |||||||
\(948\) | −2.94789 | + | 1.22657i | −0.0957429 | + | 0.0398371i | ||||
\(949\) | −1.72212 | −0.0559022 | ||||||||
\(950\) | 3.67497 | − | 6.36524i | 0.119232 | − | 0.206516i | ||||
\(951\) | −7.70448 | − | 18.5166i | −0.249835 | − | 0.600443i | ||||
\(952\) | −0.566372 | − | 54.3112i | −0.0183562 | − | 1.76024i | ||||
\(953\) | −12.0323 | − | 2.74630i | −0.389765 | − | 0.0889613i | 0.0231473 | − | 0.999732i | \(-0.492631\pi\) |
−0.412912 | + | 0.910771i | \(0.635488\pi\) | |||||||
\(954\) | −9.61535 | − | 4.15865i | −0.311309 | − | 0.134641i | ||||
\(955\) | 1.24956 | − | 0.490415i | 0.0404347 | − | 0.0158695i | ||||
\(956\) | −0.0195133 | + | 0.129462i | −0.000631104 | + | 0.00418710i | ||||
\(957\) | −35.6425 | − | 1.94458i | −1.15216 | − | 0.0628593i | ||||
\(958\) | 3.76140 | + | 12.1941i | 0.121525 | + | 0.393975i | ||||
\(959\) | −49.3305 | − | 3.17990i | −1.59297 | − | 0.102684i | ||||
\(960\) | −0.125303 | + | 0.963656i | −0.00404415 | + | 0.0311019i | ||||
\(961\) | −19.1733 | −0.618493 | ||||||||
\(962\) | −0.182505 | + | 0.316109i | −0.00588421 | + | 0.0101918i | ||||
\(963\) | 20.3531 | + | 10.6739i | 0.655868 | + | 0.343963i | ||||
\(964\) | −8.65746 | + | 0.648787i | −0.278838 | + | 0.0208960i | ||||
\(965\) | 0.498702 | + | 1.27067i | 0.0160538 | + | 0.0409043i | ||||
\(966\) | −35.2742 | + | 15.1105i | −1.13493 | + | 0.486172i | ||||
\(967\) | −10.9439 | + | 27.8846i | −0.351932 | + | 0.896707i | 0.639819 | + | 0.768526i | \(0.279009\pi\) |
−0.991751 | + | 0.128182i | \(0.959086\pi\) | |||||||
\(968\) | −13.2512 | + | 42.9592i | −0.425909 | + | 1.38076i | ||||
\(969\) | 12.9107 | + | 11.5007i | 0.414751 | + | 0.369455i | ||||
\(970\) | 0.00836083 | + | 0.111568i | 0.000268450 | + | 0.00358222i | ||||
\(971\) | −33.2850 | − | 5.01691i | −1.06817 | − | 0.161000i | −0.408651 | − | 0.912691i | \(-0.634001\pi\) |
−0.659516 | + | 0.751690i | \(0.729239\pi\) | |||||||
\(972\) | −14.8107 | − | 4.13919i | −0.475053 | − | 0.132764i | ||||
\(973\) | −29.9366 | + | 32.9464i | −0.959722 | + | 1.05621i | ||||
\(974\) | 14.6475 | + | 21.4840i | 0.469337 | + | 0.688391i | ||||
\(975\) | −0.167879 | − | 1.76005i | −0.00537644 | − | 0.0563666i | ||||
\(976\) | 14.7453 | + | 3.36552i | 0.471986 | + | 0.107728i | ||||
\(977\) | −23.5880 | − | 48.9811i | −0.754648 | − | 1.56704i | −0.822115 | − | 0.569321i | \(-0.807206\pi\) |
0.0674670 | − | 0.997722i | \(-0.478508\pi\) | |||||||
\(978\) | 0.190538 | − | 0.920534i | 0.00609272 | − | 0.0294354i | ||||
\(979\) | 48.6633 | + | 28.0958i | 1.55529 | + | 0.897944i | ||||
\(980\) | −0.457624 | − | 0.298216i | −0.0146183 | − | 0.00952617i | ||||
\(981\) | 4.94380 | − | 26.5930i | 0.157843 | − | 0.849049i | ||||
\(982\) | 14.6275 | − | 37.2702i | 0.466781 | − | 1.18934i | ||||
\(983\) | −1.42732 | − | 0.973127i | −0.0455243 | − | 0.0310379i | 0.540344 | − | 0.841444i | \(-0.318294\pi\) |
−0.585868 | + | 0.810406i | \(0.699246\pi\) | |||||||
\(984\) | 10.6253 | − | 5.38521i | 0.338723 | − | 0.171674i | ||||
\(985\) | 0.0453781 | + | 0.00340062i | 0.00144587 | + | 0.000108353i | ||||
\(986\) | 2.07805 | + | 27.7297i | 0.0661787 | + | 0.883093i | ||||
\(987\) | −3.63683 | + | 8.18616i | −0.115762 | + | 0.260568i | ||||
\(988\) | −0.0220319 | + | 0.293995i | −0.000700927 | + | 0.00935322i | ||||
\(989\) | −10.9077 | + | 72.3679i | −0.346845 | + | 2.30117i | ||||
\(990\) | −1.20976 | − | 0.132398i | −0.0384488 | − | 0.00420790i | ||||
\(991\) | −14.1081 | + | 2.12646i | −0.448160 | + | 0.0675492i | −0.369245 | − | 0.929332i | \(-0.620384\pi\) |
−0.0789150 | + | 0.996881i | \(0.525146\pi\) | |||||||
\(992\) | −7.80578 | − | 34.1993i | −0.247834 | − | 1.08583i | ||||
\(993\) | −17.0327 | + | 19.1209i | −0.540516 | + | 0.606784i | ||||
\(994\) | 0.130275 | − | 0.0416771i | 0.00413207 | − | 0.00132192i | ||||
\(995\) | −0.136940 | + | 0.908535i | −0.00434128 | + | 0.0288025i | ||||
\(996\) | −12.4685 | − | 12.9024i | −0.395078 | − | 0.408830i | ||||
\(997\) | 2.70428 | + | 2.91452i | 0.0856454 | + | 0.0923038i | 0.774420 | − | 0.632671i | \(-0.218042\pi\) |
−0.688775 | + | 0.724975i | \(0.741851\pi\) | |||||||
\(998\) | −4.31135 | − | 2.48916i | −0.136473 | − | 0.0787929i | ||||
\(999\) | −4.71894 | + | 7.91701i | −0.149301 | + | 0.250483i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.bn.a.101.36 | yes | 648 | |
9.5 | odd | 6 | 441.2.bd.a.248.19 | ✓ | 648 | ||
49.33 | odd | 42 | 441.2.bd.a.425.19 | yes | 648 | ||
441.131 | even | 42 | inner | 441.2.bn.a.131.36 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.248.19 | ✓ | 648 | 9.5 | odd | 6 | ||
441.2.bd.a.425.19 | yes | 648 | 49.33 | odd | 42 | ||
441.2.bn.a.101.36 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.bn.a.131.36 | yes | 648 | 441.131 | even | 42 | inner |