Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(4,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.u (of order \(9\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 67.4 | ||
Character | \(\chi\) | \(=\) | 189.67 |
Dual form | 189.2.u.a.79.4 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.55519 | + | 1.30496i | −1.09968 | + | 0.922744i | −0.997404 | − | 0.0720117i | \(-0.977058\pi\) |
−0.102280 | + | 0.994756i | \(0.532614\pi\) | |||||||
\(3\) | 1.19925 | − | 1.24972i | 0.692389 | − | 0.721524i | ||||
\(4\) | 0.368398 | − | 2.08929i | 0.184199 | − | 1.04464i | ||||
\(5\) | 0.441461 | − | 2.50365i | 0.197427 | − | 1.11967i | −0.711492 | − | 0.702695i | \(-0.751980\pi\) |
0.908919 | − | 0.416972i | \(-0.136909\pi\) | |||||||
\(6\) | −0.234236 | + | 3.50852i | −0.0956263 | + | 1.43235i | ||||
\(7\) | −0.472815 | + | 2.60316i | −0.178707 | + | 0.983902i | ||||
\(8\) | 0.123353 | + | 0.213653i | 0.0436118 | + | 0.0755378i | ||||
\(9\) | −0.123586 | − | 2.99745i | −0.0411952 | − | 0.999151i | ||||
\(10\) | 2.58060 | + | 4.46974i | 0.816058 | + | 1.41345i | ||||
\(11\) | −0.994702 | − | 5.64123i | −0.299914 | − | 1.70090i | −0.646530 | − | 0.762889i | \(-0.723780\pi\) |
0.346616 | − | 0.938007i | \(-0.387331\pi\) | |||||||
\(12\) | −2.16922 | − | 2.96598i | −0.626200 | − | 0.856205i | ||||
\(13\) | 0.494719 | − | 2.80569i | 0.137210 | − | 0.778159i | −0.836084 | − | 0.548601i | \(-0.815161\pi\) |
0.973295 | − | 0.229558i | \(-0.0737282\pi\) | |||||||
\(14\) | −2.66170 | − | 4.66541i | −0.711369 | − | 1.24688i | ||||
\(15\) | −2.59943 | − | 3.55421i | −0.671171 | − | 0.917694i | ||||
\(16\) | 3.51651 | + | 1.27990i | 0.879127 | + | 0.319976i | ||||
\(17\) | 2.41871 | + | 4.18933i | 0.586624 | + | 1.01606i | 0.994671 | + | 0.103101i | \(0.0328765\pi\) |
−0.408047 | + | 0.912961i | \(0.633790\pi\) | |||||||
\(18\) | 4.10375 | + | 4.50033i | 0.967262 | + | 1.06074i | ||||
\(19\) | −0.277852 | + | 0.481253i | −0.0637435 | + | 0.110407i | −0.896136 | − | 0.443780i | \(-0.853637\pi\) |
0.832392 | + | 0.554187i | \(0.186971\pi\) | |||||||
\(20\) | −5.06822 | − | 1.84468i | −1.13329 | − | 0.412483i | ||||
\(21\) | 2.68619 | + | 3.71273i | 0.586175 | + | 0.810185i | ||||
\(22\) | 8.90852 | + | 7.47513i | 1.89930 | + | 1.59370i | ||||
\(23\) | 2.10296 | + | 1.76459i | 0.438497 | + | 0.367943i | 0.835147 | − | 0.550027i | \(-0.185383\pi\) |
−0.396649 | + | 0.917970i | \(0.629827\pi\) | |||||||
\(24\) | 0.414937 | + | 0.102068i | 0.0846987 | + | 0.0208346i | ||||
\(25\) | −1.37492 | − | 0.500430i | −0.274984 | − | 0.100086i | ||||
\(26\) | 2.89193 | + | 5.00897i | 0.567154 | + | 0.982339i | ||||
\(27\) | −3.89418 | − | 3.44026i | −0.749435 | − | 0.662078i | ||||
\(28\) | 5.26457 | + | 1.94685i | 0.994911 | + | 0.367920i | ||||
\(29\) | 0.164033 | + | 0.930279i | 0.0304602 | + | 0.172749i | 0.996243 | − | 0.0866047i | \(-0.0276017\pi\) |
−0.965783 | + | 0.259353i | \(0.916491\pi\) | |||||||
\(30\) | 8.68070 | + | 2.13532i | 1.58487 | + | 0.389854i | ||||
\(31\) | 0.867833 | − | 4.92173i | 0.155867 | − | 0.883968i | −0.802121 | − | 0.597161i | \(-0.796295\pi\) |
0.957989 | − | 0.286807i | \(-0.0925937\pi\) | |||||||
\(32\) | −7.60271 | + | 2.76716i | −1.34398 | + | 0.489169i | ||||
\(33\) | −8.24285 | − | 5.52217i | −1.43490 | − | 0.961286i | ||||
\(34\) | −9.22845 | − | 3.35888i | −1.58267 | − | 0.576043i | ||||
\(35\) | 6.30868 | + | 2.33296i | 1.06636 | + | 0.394342i | ||||
\(36\) | −6.30808 | − | 0.846050i | −1.05135 | − | 0.141008i | ||||
\(37\) | 8.16114 | 1.34168 | 0.670841 | − | 0.741601i | \(-0.265933\pi\) | ||||
0.670841 | + | 0.741601i | \(0.265933\pi\) | |||||||
\(38\) | −0.195903 | − | 1.11102i | −0.0317797 | − | 0.180232i | ||||
\(39\) | −2.91303 | − | 3.98299i | −0.466458 | − | 0.637790i | ||||
\(40\) | 0.589368 | − | 0.214513i | 0.0931873 | − | 0.0339174i | ||||
\(41\) | −1.92050 | + | 10.8917i | −0.299932 | + | 1.70100i | 0.346520 | + | 0.938043i | \(0.387363\pi\) |
−0.646452 | + | 0.762955i | \(0.723748\pi\) | |||||||
\(42\) | −9.02249 | − | 2.26863i | −1.39220 | − | 0.350058i | ||||
\(43\) | −4.80243 | + | 4.02972i | −0.732364 | + | 0.614526i | −0.930775 | − | 0.365593i | \(-0.880866\pi\) |
0.198411 | + | 0.980119i | \(0.436422\pi\) | |||||||
\(44\) | −12.1526 | −1.83208 | ||||||||
\(45\) | −7.55914 | − | 1.01384i | −1.12685 | − | 0.151135i | ||||
\(46\) | −5.57321 | −0.821725 | ||||||||
\(47\) | −0.517743 | − | 2.93627i | −0.0755206 | − | 0.428299i | −0.999002 | − | 0.0446563i | \(-0.985781\pi\) |
0.923482 | − | 0.383642i | \(-0.125330\pi\) | |||||||
\(48\) | 5.81670 | − | 2.85971i | 0.839569 | − | 0.412764i | ||||
\(49\) | −6.55289 | − | 2.46163i | −0.936127 | − | 0.351661i | ||||
\(50\) | 2.79130 | − | 1.01595i | 0.394749 | − | 0.143677i | ||||
\(51\) | 8.13612 | + | 2.00136i | 1.13929 | + | 0.280247i | ||||
\(52\) | −5.67965 | − | 2.06722i | −0.787626 | − | 0.286672i | ||||
\(53\) | 3.07682 | − | 5.32920i | 0.422633 | − | 0.732022i | −0.573563 | − | 0.819162i | \(-0.694439\pi\) |
0.996196 | + | 0.0871392i | \(0.0277725\pi\) | |||||||
\(54\) | 10.5456 | + | 0.268508i | 1.43507 | + | 0.0365393i | ||||
\(55\) | −14.5628 | −1.96365 | ||||||||
\(56\) | −0.614496 | + | 0.220088i | −0.0821155 | + | 0.0294106i | ||||
\(57\) | 0.268216 | + | 0.924380i | 0.0355261 | + | 0.122437i | ||||
\(58\) | −1.46908 | − | 1.23270i | −0.192899 | − | 0.161862i | ||||
\(59\) | −8.92291 | + | 3.24767i | −1.16166 | + | 0.422811i | −0.849691 | − | 0.527280i | \(-0.823212\pi\) |
−0.311972 | + | 0.950091i | \(0.600990\pi\) | |||||||
\(60\) | −8.38341 | + | 4.12160i | −1.08229 | + | 0.532097i | ||||
\(61\) | 0.889765 | + | 5.04611i | 0.113923 | + | 0.646088i | 0.987278 | + | 0.159004i | \(0.0508283\pi\) |
−0.873355 | + | 0.487084i | \(0.838061\pi\) | |||||||
\(62\) | 5.07300 | + | 8.78669i | 0.644271 | + | 1.11591i | ||||
\(63\) | 7.86129 | + | 1.09553i | 0.990429 | + | 0.138024i | ||||
\(64\) | 4.47042 | − | 7.74299i | 0.558802 | − | 0.967874i | ||||
\(65\) | −6.80608 | − | 2.47721i | −0.844190 | − | 0.307260i | ||||
\(66\) | 20.0254 | − | 2.16855i | 2.46495 | − | 0.266930i | ||||
\(67\) | 7.29506 | + | 6.12129i | 0.891234 | + | 0.747834i | 0.968457 | − | 0.249180i | \(-0.0801610\pi\) |
−0.0772232 | + | 0.997014i | \(0.524605\pi\) | |||||||
\(68\) | 9.64378 | − | 3.51005i | 1.16948 | − | 0.425656i | ||||
\(69\) | 4.72722 | − | 0.511912i | 0.569090 | − | 0.0616269i | ||||
\(70\) | −12.8556 | + | 4.60437i | −1.53654 | + | 0.550327i | ||||
\(71\) | −5.28149 | + | 9.14782i | −0.626798 | + | 1.08565i | 0.361392 | + | 0.932414i | \(0.382302\pi\) |
−0.988190 | + | 0.153232i | \(0.951032\pi\) | |||||||
\(72\) | 0.625171 | − | 0.396148i | 0.0736771 | − | 0.0466865i | ||||
\(73\) | −0.456492 | −0.0534283 | −0.0267141 | − | 0.999643i | \(-0.508504\pi\) | ||||
−0.0267141 | + | 0.999643i | \(0.508504\pi\) | |||||||
\(74\) | −12.6921 | + | 10.6499i | −1.47543 | + | 1.23803i | ||||
\(75\) | −2.27427 | + | 1.11812i | −0.262610 | + | 0.129109i | ||||
\(76\) | 0.903117 | + | 0.757805i | 0.103595 | + | 0.0869262i | ||||
\(77\) | 15.1553 | + | 0.0778908i | 1.72711 | + | 0.00887648i | ||||
\(78\) | 9.72794 | + | 2.39292i | 1.10147 | + | 0.270945i | ||||
\(79\) | 2.52613 | − | 2.11967i | 0.284212 | − | 0.238482i | −0.489525 | − | 0.871989i | \(-0.662830\pi\) |
0.773737 | + | 0.633507i | \(0.218385\pi\) | |||||||
\(80\) | 4.75684 | − | 8.23909i | 0.531831 | − | 0.921158i | ||||
\(81\) | −8.96945 | + | 0.740884i | −0.996606 | + | 0.0823204i | ||||
\(82\) | −11.2265 | − | 19.4448i | −1.23976 | − | 2.14732i | ||||
\(83\) | 0.441119 | + | 2.50171i | 0.0484190 | + | 0.274598i | 0.999399 | − | 0.0346532i | \(-0.0110327\pi\) |
−0.950980 | + | 0.309251i | \(0.899922\pi\) | |||||||
\(84\) | 8.74656 | − | 4.24447i | 0.954328 | − | 0.463109i | ||||
\(85\) | 11.5564 | − | 4.20618i | 1.25347 | − | 0.456225i | ||||
\(86\) | 2.21007 | − | 12.5339i | 0.238318 | − | 1.35157i | ||||
\(87\) | 1.35930 | + | 0.910645i | 0.145733 | + | 0.0976314i | ||||
\(88\) | 1.08257 | − | 0.908382i | 0.115402 | − | 0.0968339i | ||||
\(89\) | 3.34817 | − | 5.79919i | 0.354905 | − | 0.614713i | −0.632197 | − | 0.774808i | \(-0.717847\pi\) |
0.987102 | + | 0.160095i | \(0.0511799\pi\) | |||||||
\(90\) | 13.0789 | − | 8.28763i | 1.37864 | − | 0.873593i | ||||
\(91\) | 7.06976 | + | 2.61441i | 0.741112 | + | 0.274064i | ||||
\(92\) | 4.46147 | − | 3.74362i | 0.465140 | − | 0.390299i | ||||
\(93\) | −5.11001 | − | 6.98694i | −0.529884 | − | 0.724512i | ||||
\(94\) | 4.63689 | + | 3.89081i | 0.478259 | + | 0.401307i | ||||
\(95\) | 1.08223 | + | 0.908098i | 0.111034 | + | 0.0931689i | ||||
\(96\) | −5.65940 | + | 12.8198i | −0.577610 | + | 1.30841i | ||||
\(97\) | 4.52344 | − | 3.79562i | 0.459286 | − | 0.385387i | −0.383582 | − | 0.923507i | \(-0.625310\pi\) |
0.842868 | + | 0.538120i | \(0.180865\pi\) | |||||||
\(98\) | 13.4033 | − | 4.72295i | 1.35394 | − | 0.477090i | ||||
\(99\) | −16.7864 | + | 3.67875i | −1.68710 | + | 0.369728i | ||||
\(100\) | −1.55206 | + | 2.68825i | −0.155206 | + | 0.268825i | ||||
\(101\) | 2.38567 | − | 2.00182i | 0.237383 | − | 0.199188i | −0.516334 | − | 0.856388i | \(-0.672704\pi\) |
0.753717 | + | 0.657199i | \(0.228259\pi\) | |||||||
\(102\) | −15.2649 | + | 7.50480i | −1.51145 | + | 0.743086i | ||||
\(103\) | −2.15981 | + | 12.2489i | −0.212812 | + | 1.20692i | 0.671850 | + | 0.740687i | \(0.265500\pi\) |
−0.884663 | + | 0.466232i | \(0.845611\pi\) | |||||||
\(104\) | 0.660470 | − | 0.240391i | 0.0647644 | − | 0.0235723i | ||||
\(105\) | 10.4812 | − | 5.08626i | 1.02286 | − | 0.496368i | ||||
\(106\) | 2.16936 | + | 12.3030i | 0.210706 | + | 1.19498i | ||||
\(107\) | 3.72902 | + | 6.45885i | 0.360498 | + | 0.624401i | 0.988043 | − | 0.154180i | \(-0.0492734\pi\) |
−0.627545 | + | 0.778580i | \(0.715940\pi\) | |||||||
\(108\) | −8.62230 | + | 6.86868i | −0.829682 | + | 0.660939i | ||||
\(109\) | 7.64451 | − | 13.2407i | 0.732211 | − | 1.26823i | −0.223726 | − | 0.974652i | \(-0.571822\pi\) |
0.955936 | − | 0.293574i | \(-0.0948447\pi\) | |||||||
\(110\) | 22.6479 | − | 19.0038i | 2.15939 | − | 1.81194i | ||||
\(111\) | 9.78727 | − | 10.1991i | 0.928966 | − | 0.968057i | ||||
\(112\) | −4.99446 | + | 8.54888i | −0.471932 | + | 0.807793i | ||||
\(113\) | 13.2747 | + | 11.1388i | 1.24878 | + | 1.04785i | 0.996785 | + | 0.0801258i | \(0.0255322\pi\) |
0.251998 | + | 0.967728i | \(0.418912\pi\) | |||||||
\(114\) | −1.62340 | − | 1.08757i | −0.152046 | − | 0.101861i | ||||
\(115\) | 5.34630 | − | 4.48608i | 0.498545 | − | 0.418329i | ||||
\(116\) | 2.00405 | 0.186072 | ||||||||
\(117\) | −8.47107 | − | 1.13616i | −0.783151 | − | 0.105038i | ||||
\(118\) | 9.63872 | − | 16.6948i | 0.887316 | − | 1.53688i | ||||
\(119\) | −12.0491 | + | 4.31552i | −1.10454 | + | 0.395603i | ||||
\(120\) | 0.438722 | − | 0.993798i | 0.0400496 | − | 0.0907210i | ||||
\(121\) | −20.4975 | + | 7.46047i | −1.86341 | + | 0.678224i | ||||
\(122\) | −7.96871 | − | 6.68654i | −0.721453 | − | 0.605371i | ||||
\(123\) | 11.3084 | + | 15.4620i | 1.01964 | + | 1.39416i | ||||
\(124\) | −9.96320 | − | 3.62631i | −0.894722 | − | 0.325652i | ||||
\(125\) | 4.49581 | − | 7.78697i | 0.402117 | − | 0.696488i | ||||
\(126\) | −13.6554 | + | 8.55489i | −1.21652 | + | 0.762130i | ||||
\(127\) | 2.09524 | + | 3.62907i | 0.185923 | + | 0.322027i | 0.943887 | − | 0.330268i | \(-0.107139\pi\) |
−0.757964 | + | 0.652296i | \(0.773806\pi\) | |||||||
\(128\) | 0.342087 | + | 1.94007i | 0.0302365 | + | 0.171480i | ||||
\(129\) | −0.723321 | + | 10.8343i | −0.0636849 | + | 0.953910i | ||||
\(130\) | 13.8174 | − | 5.02911i | 1.21186 | − | 0.441083i | ||||
\(131\) | −2.06049 | − | 1.72895i | −0.180026 | − | 0.151059i | 0.548322 | − | 0.836267i | \(-0.315267\pi\) |
−0.728347 | + | 0.685208i | \(0.759711\pi\) | |||||||
\(132\) | −14.5741 | + | 15.1873i | −1.26851 | + | 1.32189i | ||||
\(133\) | −1.12141 | − | 0.950836i | −0.0972383 | − | 0.0824479i | ||||
\(134\) | −19.3332 | −1.67013 | ||||||||
\(135\) | −10.3323 | + | 8.23093i | −0.889266 | + | 0.708405i | ||||
\(136\) | −0.596709 | + | 1.03353i | −0.0511674 | + | 0.0886245i | ||||
\(137\) | −2.15297 | − | 0.783616i | −0.183940 | − | 0.0669489i | 0.248408 | − | 0.968656i | \(-0.420093\pi\) |
−0.432348 | + | 0.901707i | \(0.642315\pi\) | |||||||
\(138\) | −6.68369 | + | 6.96494i | −0.568953 | + | 0.592895i | ||||
\(139\) | 2.00556 | − | 0.729963i | 0.170109 | − | 0.0619147i | −0.255562 | − | 0.966793i | \(-0.582260\pi\) |
0.425671 | + | 0.904878i | \(0.360038\pi\) | |||||||
\(140\) | 7.19833 | − | 12.3212i | 0.608370 | − | 1.04133i | ||||
\(141\) | −4.29041 | − | 2.87429i | −0.361317 | − | 0.242059i | ||||
\(142\) | −3.72380 | − | 21.1187i | −0.312494 | − | 1.77224i | ||||
\(143\) | −16.3197 | −1.36472 | ||||||||
\(144\) | 3.40187 | − | 10.6988i | 0.283489 | − | 0.891563i | ||||
\(145\) | 2.40151 | 0.199435 | ||||||||
\(146\) | 0.709930 | − | 0.595702i | 0.0587542 | − | 0.0493006i | ||||
\(147\) | −10.9349 | + | 5.23715i | −0.901896 | + | 0.431953i | ||||
\(148\) | 3.00655 | − | 17.0510i | 0.247137 | − | 1.40158i | ||||
\(149\) | 7.63172 | − | 2.77772i | 0.625215 | − | 0.227560i | −0.00993237 | − | 0.999951i | \(-0.503162\pi\) |
0.635147 | + | 0.772391i | \(0.280939\pi\) | |||||||
\(150\) | 2.07782 | − | 4.70671i | 0.169653 | − | 0.384301i | ||||
\(151\) | −2.79284 | − | 15.8390i | −0.227278 | − | 1.28896i | −0.858283 | − | 0.513177i | \(-0.828468\pi\) |
0.631005 | − | 0.775779i | \(-0.282643\pi\) | |||||||
\(152\) | −0.137095 | −0.0111199 | ||||||||
\(153\) | 12.2584 | − | 7.76771i | 0.991033 | − | 0.627983i | ||||
\(154\) | −23.6711 | + | 19.6559i | −1.90747 | + | 1.58392i | ||||
\(155\) | −11.9392 | − | 4.34550i | −0.958977 | − | 0.349039i | ||||
\(156\) | −9.39478 | + | 4.61883i | −0.752185 | + | 0.369803i | ||||
\(157\) | −5.28662 | + | 1.92417i | −0.421918 | + | 0.153566i | −0.544249 | − | 0.838924i | \(-0.683185\pi\) |
0.122331 | + | 0.992489i | \(0.460963\pi\) | |||||||
\(158\) | −1.16252 | + | 6.59298i | −0.0924851 | + | 0.524509i | ||||
\(159\) | −2.97012 | − | 10.2362i | −0.235545 | − | 0.811785i | ||||
\(160\) | 3.57170 | + | 20.2561i | 0.282368 | + | 1.60139i | ||||
\(161\) | −5.58783 | + | 4.64001i | −0.440382 | + | 0.365684i | ||||
\(162\) | 12.9824 | − | 12.8570i | 1.01999 | − | 1.01014i | ||||
\(163\) | −0.362739 | − | 0.628282i | −0.0284119 | − | 0.0492108i | 0.851470 | − | 0.524404i | \(-0.175712\pi\) |
−0.879882 | + | 0.475193i | \(0.842378\pi\) | |||||||
\(164\) | 22.0484 | + | 8.02496i | 1.72169 | + | 0.626644i | ||||
\(165\) | −17.4645 | + | 18.1994i | −1.35961 | + | 1.41682i | ||||
\(166\) | −3.95064 | − | 3.31498i | −0.306629 | − | 0.257293i | ||||
\(167\) | −4.91108 | − | 4.12088i | −0.380030 | − | 0.318883i | 0.432684 | − | 0.901546i | \(-0.357567\pi\) |
−0.812714 | + | 0.582662i | \(0.802011\pi\) | |||||||
\(168\) | −0.461888 | + | 1.03189i | −0.0356354 | + | 0.0796119i | ||||
\(169\) | 4.58884 | + | 1.67020i | 0.352988 | + | 0.128477i | ||||
\(170\) | −12.4835 | + | 21.6220i | −0.957438 | + | 1.65833i | ||||
\(171\) | 1.47687 | + | 0.773371i | 0.112939 | + | 0.0591412i | ||||
\(172\) | 6.65004 | + | 11.5182i | 0.507061 | + | 0.878256i | ||||
\(173\) | 16.9804 | + | 6.18036i | 1.29100 | + | 0.469884i | 0.894054 | − | 0.447959i | \(-0.147849\pi\) |
0.396942 | + | 0.917844i | \(0.370071\pi\) | |||||||
\(174\) | −3.30232 | + | 0.357609i | −0.250349 | + | 0.0271103i | ||||
\(175\) | 1.95278 | − | 3.34253i | 0.147616 | − | 0.252671i | ||||
\(176\) | 3.72236 | − | 21.1106i | 0.280584 | − | 1.59127i | ||||
\(177\) | −6.64215 | + | 15.0459i | −0.499255 | + | 1.13092i | ||||
\(178\) | 2.36067 | + | 13.3880i | 0.176940 | + | 1.00348i | ||||
\(179\) | 6.06566 | + | 10.5060i | 0.453369 | + | 0.785257i | 0.998593 | − | 0.0530329i | \(-0.0168888\pi\) |
−0.545224 | + | 0.838290i | \(0.683555\pi\) | |||||||
\(180\) | −4.90299 | + | 15.4197i | −0.365447 | + | 1.14932i | ||||
\(181\) | −1.82583 | − | 3.16242i | −0.135713 | − | 0.235061i | 0.790157 | − | 0.612905i | \(-0.209999\pi\) |
−0.925869 | + | 0.377844i | \(0.876666\pi\) | |||||||
\(182\) | −14.4065 | + | 5.15984i | −1.06788 | + | 0.382473i | ||||
\(183\) | 7.37326 | + | 4.93960i | 0.545047 | + | 0.365146i | ||||
\(184\) | −0.117605 | + | 0.666971i | −0.00866995 | + | 0.0491697i | ||||
\(185\) | 3.60283 | − | 20.4326i | 0.264885 | − | 1.50224i | ||||
\(186\) | 17.0647 | + | 4.19765i | 1.25124 | + | 0.307787i | ||||
\(187\) | 21.2271 | − | 17.8117i | 1.55228 | − | 1.30252i | ||||
\(188\) | −6.32545 | −0.461331 | ||||||||
\(189\) | 10.7968 | − | 8.51057i | 0.785349 | − | 0.619053i | ||||
\(190\) | −2.86810 | −0.208074 | ||||||||
\(191\) | −1.26218 | + | 1.05909i | −0.0913281 | + | 0.0766334i | −0.687309 | − | 0.726366i | \(-0.741208\pi\) |
0.595981 | + | 0.802999i | \(0.296764\pi\) | |||||||
\(192\) | −4.31539 | − | 14.8726i | −0.311436 | − | 1.07333i | ||||
\(193\) | −1.30894 | + | 7.42335i | −0.0942194 | + | 0.534345i | 0.900764 | + | 0.434308i | \(0.143007\pi\) |
−0.994984 | + | 0.100037i | \(0.968104\pi\) | |||||||
\(194\) | −2.08168 | + | 11.8058i | −0.149456 | + | 0.847607i | ||||
\(195\) | −11.2580 | + | 5.53487i | −0.806204 | + | 0.396360i | ||||
\(196\) | −7.55712 | + | 12.7840i | −0.539795 | + | 0.913145i | ||||
\(197\) | −3.93907 | − | 6.82267i | −0.280647 | − | 0.486095i | 0.690897 | − | 0.722953i | \(-0.257216\pi\) |
−0.971544 | + | 0.236858i | \(0.923882\pi\) | |||||||
\(198\) | 21.3054 | − | 27.6267i | 1.51411 | − | 1.96334i | ||||
\(199\) | −0.493723 | − | 0.855154i | −0.0349991 | − | 0.0606202i | 0.847995 | − | 0.530004i | \(-0.177810\pi\) |
−0.882994 | + | 0.469384i | \(0.844476\pi\) | |||||||
\(200\) | −0.0626816 | − | 0.355485i | −0.00443226 | − | 0.0251366i | ||||
\(201\) | 16.3985 | − | 1.77580i | 1.15666 | − | 0.125255i | ||||
\(202\) | −1.09788 | + | 6.22640i | −0.0772467 | + | 0.438088i | ||||
\(203\) | −2.49922 | − | 0.0128447i | −0.175411 | − | 0.000901525i | ||||
\(204\) | 7.17876 | − | 16.2614i | 0.502614 | − | 1.13853i | ||||
\(205\) | 26.4212 | + | 9.61653i | 1.84534 | + | 0.671647i | ||||
\(206\) | −12.6254 | − | 21.8678i | −0.879651 | − | 1.52360i | ||||
\(207\) | 5.02939 | − | 6.52160i | 0.349566 | − | 0.453282i | ||||
\(208\) | 5.33071 | − | 9.23305i | 0.369618 | − | 0.640197i | ||||
\(209\) | 2.99124 | + | 1.08872i | 0.206908 | + | 0.0753085i | ||||
\(210\) | −9.66294 | + | 21.5876i | −0.666806 | + | 1.48969i | ||||
\(211\) | −12.2920 | − | 10.3142i | −0.846215 | − | 0.710059i | 0.112738 | − | 0.993625i | \(-0.464038\pi\) |
−0.958953 | + | 0.283566i | \(0.908482\pi\) | |||||||
\(212\) | −10.0008 | − | 8.39163i | −0.686855 | − | 0.576340i | ||||
\(213\) | 5.09834 | + | 17.5709i | 0.349332 | + | 1.20394i | ||||
\(214\) | −14.2279 | − | 5.17851i | −0.972596 | − | 0.353996i | ||||
\(215\) | 7.96892 | + | 13.8026i | 0.543476 | + | 0.941328i | ||||
\(216\) | 0.254664 | − | 1.25637i | 0.0173277 | − | 0.0854850i | ||||
\(217\) | 12.4017 | + | 4.58617i | 0.841883 | + | 0.311330i | ||||
\(218\) | 5.38987 | + | 30.5675i | 0.365048 | + | 2.07029i | ||||
\(219\) | −0.547449 | + | 0.570485i | −0.0369932 | + | 0.0385498i | ||||
\(220\) | −5.36491 | + | 30.4259i | −0.361702 | + | 2.05132i | ||||
\(221\) | 12.9506 | − | 4.71362i | 0.871149 | − | 0.317072i | ||||
\(222\) | −1.91163 | + | 28.6335i | −0.128300 | + | 1.92175i | ||||
\(223\) | 5.45194 | + | 1.98434i | 0.365089 | + | 0.132881i | 0.518049 | − | 0.855351i | \(-0.326658\pi\) |
−0.152960 | + | 0.988232i | \(0.548881\pi\) | |||||||
\(224\) | −3.60869 | − | 21.0994i | −0.241116 | − | 1.40976i | ||||
\(225\) | −1.33009 | + | 4.18310i | −0.0886730 | + | 0.278874i | ||||
\(226\) | −35.1804 | −2.34017 | ||||||||
\(227\) | −4.38402 | − | 24.8630i | −0.290978 | − | 1.65022i | −0.683115 | − | 0.730310i | \(-0.739375\pi\) |
0.392138 | − | 0.919907i | \(-0.371736\pi\) | |||||||
\(228\) | 2.03011 | − | 0.219841i | 0.134447 | − | 0.0145593i | ||||
\(229\) | −19.3442 | + | 7.04070i | −1.27830 | + | 0.465263i | −0.889869 | − | 0.456216i | \(-0.849205\pi\) |
−0.388429 | + | 0.921478i | \(0.626982\pi\) | |||||||
\(230\) | −2.46036 | + | 13.9534i | −0.162231 | + | 0.920058i | ||||
\(231\) | 18.2724 | − | 18.8465i | 1.20224 | − | 1.24001i | ||||
\(232\) | −0.178523 | + | 0.149799i | −0.0117206 | + | 0.00983476i | ||||
\(233\) | 28.9197 | 1.89460 | 0.947298 | − | 0.320355i | \(-0.103802\pi\) | ||||
0.947298 | + | 0.320355i | \(0.103802\pi\) | |||||||
\(234\) | 14.6567 | − | 9.28745i | 0.958141 | − | 0.607140i | ||||
\(235\) | −7.57995 | −0.494462 | ||||||||
\(236\) | 3.49815 | + | 19.8390i | 0.227710 | + | 1.29141i | ||||
\(237\) | 0.380474 | − | 5.69897i | 0.0247145 | − | 0.370188i | ||||
\(238\) | 13.1071 | − | 22.4350i | 0.849604 | − | 1.45425i | ||||
\(239\) | −13.0309 | + | 4.74288i | −0.842902 | + | 0.306791i | −0.727143 | − | 0.686486i | \(-0.759152\pi\) |
−0.115759 | + | 0.993277i | \(0.536930\pi\) | |||||||
\(240\) | −4.59187 | − | 15.8255i | −0.296404 | − | 1.02153i | ||||
\(241\) | −7.61509 | − | 2.77167i | −0.490531 | − | 0.178539i | 0.0848993 | − | 0.996390i | \(-0.472943\pi\) |
−0.575430 | + | 0.817851i | \(0.695165\pi\) | |||||||
\(242\) | 22.1418 | − | 38.3507i | 1.42333 | − | 2.46528i | ||||
\(243\) | −9.83075 | + | 12.0978i | −0.630643 | + | 0.776073i | ||||
\(244\) | 10.8706 | 0.695917 | ||||||||
\(245\) | −9.05590 | + | 15.3194i | −0.578560 | + | 0.978723i | ||||
\(246\) | −37.7639 | − | 9.28933i | −2.40774 | − | 0.592266i | ||||
\(247\) | 1.21279 | + | 1.01765i | 0.0771680 | + | 0.0647516i | ||||
\(248\) | 1.15859 | − | 0.421693i | 0.0735706 | − | 0.0267775i | ||||
\(249\) | 3.65544 | + | 2.44891i | 0.231654 | + | 0.155193i | ||||
\(250\) | 3.16984 | + | 17.9770i | 0.200478 | + | 1.13697i | ||||
\(251\) | 1.46517 | + | 2.53775i | 0.0924809 | + | 0.160182i | 0.908554 | − | 0.417766i | \(-0.137187\pi\) |
−0.816074 | + | 0.577948i | \(0.803854\pi\) | |||||||
\(252\) | 5.18496 | − | 16.0209i | 0.326622 | − | 1.00922i | ||||
\(253\) | 7.86266 | − | 13.6185i | 0.494321 | − | 0.856189i | ||||
\(254\) | −7.99427 | − | 2.90968i | −0.501605 | − | 0.182569i | ||||
\(255\) | 8.60250 | − | 19.4865i | 0.538709 | − | 1.22029i | ||||
\(256\) | 10.6344 | + | 8.92335i | 0.664652 | + | 0.557709i | ||||
\(257\) | −16.2975 | + | 5.93181i | −1.01661 | + | 0.370016i | −0.795968 | − | 0.605339i | \(-0.793038\pi\) |
−0.220643 | + | 0.975355i | \(0.570816\pi\) | |||||||
\(258\) | −13.0134 | − | 17.7933i | −0.810181 | − | 1.10776i | ||||
\(259\) | −3.85871 | + | 21.2448i | −0.239768 | + | 1.32008i | ||||
\(260\) | −7.68296 | + | 13.3073i | −0.476477 | + | 0.825282i | ||||
\(261\) | 2.76820 | − | 0.606651i | 0.171347 | − | 0.0375508i | ||||
\(262\) | 5.46065 | 0.337360 | ||||||||
\(263\) | −11.2893 | + | 9.47281i | −0.696125 | + | 0.584119i | −0.920668 | − | 0.390346i | \(-0.872356\pi\) |
0.224543 | + | 0.974464i | \(0.427911\pi\) | |||||||
\(264\) | 0.163052 | − | 2.44228i | 0.0100351 | − | 0.150312i | ||||
\(265\) | −11.9842 | − | 10.0559i | −0.736182 | − | 0.617730i | ||||
\(266\) | 2.98480 | + | 0.0153404i | 0.183010 | + | 0.000940577i | ||||
\(267\) | −3.23205 | − | 11.1390i | −0.197798 | − | 0.681693i | ||||
\(268\) | 15.4766 | − | 12.9864i | 0.945386 | − | 0.793273i | ||||
\(269\) | −15.0329 | + | 26.0378i | −0.916573 | + | 1.58755i | −0.111992 | + | 0.993709i | \(0.535723\pi\) |
−0.804582 | + | 0.593842i | \(0.797610\pi\) | |||||||
\(270\) | 5.32771 | − | 26.2839i | 0.324234 | − | 1.59959i | ||||
\(271\) | −9.41096 | − | 16.3003i | −0.571675 | − | 0.990170i | −0.996394 | − | 0.0848450i | \(-0.972960\pi\) |
0.424719 | − | 0.905325i | \(-0.360373\pi\) | |||||||
\(272\) | 3.14348 | + | 17.8275i | 0.190601 | + | 1.08095i | ||||
\(273\) | 11.7457 | − | 5.69986i | 0.710882 | − | 0.344971i | ||||
\(274\) | 4.37085 | − | 1.59086i | 0.264053 | − | 0.0961074i | ||||
\(275\) | −1.45541 | + | 8.25402i | −0.0877643 | + | 0.497736i | ||||
\(276\) | 0.671967 | − | 10.0651i | 0.0404477 | − | 0.605849i | ||||
\(277\) | 23.2185 | − | 19.4826i | 1.39506 | − | 1.17060i | 0.431821 | − | 0.901959i | \(-0.357871\pi\) |
0.963242 | − | 0.268637i | \(-0.0865732\pi\) | |||||||
\(278\) | −2.16645 | + | 3.75240i | −0.129935 | + | 0.225054i | ||||
\(279\) | −14.8599 | − | 1.99303i | −0.889639 | − | 0.119320i | ||||
\(280\) | 0.279748 | + | 1.63565i | 0.0167182 | + | 0.0977485i | ||||
\(281\) | −3.64722 | + | 3.06038i | −0.217575 | + | 0.182567i | −0.745060 | − | 0.666997i | \(-0.767579\pi\) |
0.527486 | + | 0.849564i | \(0.323135\pi\) | |||||||
\(282\) | 10.4232 | − | 1.12873i | 0.620694 | − | 0.0672150i | ||||
\(283\) | −7.53211 | − | 6.32019i | −0.447738 | − | 0.375696i | 0.390858 | − | 0.920451i | \(-0.372178\pi\) |
−0.838596 | + | 0.544755i | \(0.816623\pi\) | |||||||
\(284\) | 17.1667 | + | 14.4046i | 1.01866 | + | 0.854756i | ||||
\(285\) | 2.43273 | − | 0.263441i | 0.144103 | − | 0.0156049i | ||||
\(286\) | 25.3801 | − | 21.2965i | 1.50076 | − | 1.25929i | ||||
\(287\) | −27.4448 | − | 10.1491i | −1.62002 | − | 0.599084i | ||||
\(288\) | 9.23401 | + | 22.4468i | 0.544120 | + | 1.32269i | ||||
\(289\) | −3.20033 | + | 5.54313i | −0.188255 | + | 0.326067i | ||||
\(290\) | −3.73480 | + | 3.13387i | −0.219315 | + | 0.184027i | ||||
\(291\) | 0.681301 | − | 10.2049i | 0.0399386 | − | 0.598224i | ||||
\(292\) | −0.168171 | + | 0.953743i | −0.00984144 | + | 0.0558136i | ||||
\(293\) | −19.5850 | + | 7.12836i | −1.14417 | + | 0.416443i | −0.843417 | − | 0.537260i | \(-0.819460\pi\) |
−0.300751 | + | 0.953703i | \(0.597237\pi\) | |||||||
\(294\) | 10.1716 | − | 22.4143i | 0.593219 | − | 1.30723i | ||||
\(295\) | 4.19192 | + | 23.7736i | 0.244063 | + | 1.38415i | ||||
\(296\) | 1.00670 | + | 1.74365i | 0.0585131 | + | 0.101348i | ||||
\(297\) | −15.5337 | + | 25.3900i | −0.901360 | + | 1.47328i | ||||
\(298\) | −8.24395 | + | 14.2789i | −0.477559 | + | 0.827157i | ||||
\(299\) | 5.99128 | − | 5.02728i | 0.346484 | − | 0.290735i | ||||
\(300\) | 1.49824 | + | 5.16353i | 0.0865007 | + | 0.298116i | ||||
\(301\) | −8.21934 | − | 14.4068i | −0.473755 | − | 0.830395i | ||||
\(302\) | 25.0125 | + | 20.9880i | 1.43931 | + | 1.20772i | ||||
\(303\) | 0.359319 | − | 5.38210i | 0.0206424 | − | 0.309193i | ||||
\(304\) | −1.59303 | + | 1.33671i | −0.0913663 | + | 0.0766654i | ||||
\(305\) | 13.0265 | 0.745895 | ||||||||
\(306\) | −8.92758 | + | 28.0769i | −0.510356 | + | 1.60505i | ||||
\(307\) | −16.2647 | + | 28.1714i | −0.928278 | + | 1.60782i | −0.142075 | + | 0.989856i | \(0.545377\pi\) |
−0.786203 | + | 0.617968i | \(0.787956\pi\) | |||||||
\(308\) | 5.74594 | − | 31.6352i | 0.327405 | − | 1.80258i | ||||
\(309\) | 12.7175 | + | 17.3887i | 0.723472 | + | 0.989206i | ||||
\(310\) | 24.2383 | − | 8.82203i | 1.37665 | − | 0.501058i | ||||
\(311\) | −4.85696 | − | 4.07547i | −0.275413 | − | 0.231099i | 0.494610 | − | 0.869115i | \(-0.335311\pi\) |
−0.770023 | + | 0.638016i | \(0.779755\pi\) | |||||||
\(312\) | 0.491649 | − | 1.11369i | 0.0278342 | − | 0.0630503i | ||||
\(313\) | −25.5353 | − | 9.29409i | −1.44334 | − | 0.525333i | −0.502617 | − | 0.864509i | \(-0.667630\pi\) |
−0.940723 | + | 0.339176i | \(0.889852\pi\) | |||||||
\(314\) | 5.71072 | − | 9.89125i | 0.322274 | − | 0.558196i | ||||
\(315\) | 6.21327 | − | 19.1983i | 0.350078 | − | 1.08170i | ||||
\(316\) | −3.49799 | − | 6.05870i | −0.196777 | − | 0.340828i | ||||
\(317\) | −0.676743 | − | 3.83800i | −0.0380097 | − | 0.215564i | 0.959887 | − | 0.280387i | \(-0.0904628\pi\) |
−0.997897 | + | 0.0648232i | \(0.979352\pi\) | |||||||
\(318\) | 17.9769 | + | 12.0434i | 1.00809 | + | 0.675358i | ||||
\(319\) | 5.08476 | − | 1.85070i | 0.284692 | − | 0.103619i | ||||
\(320\) | −17.4122 | − | 14.6106i | −0.973373 | − | 0.816757i | ||||
\(321\) | 12.5438 | + | 3.08558i | 0.700125 | + | 0.172220i | ||||
\(322\) | 2.63510 | − | 14.5080i | 0.146848 | − | 0.808497i | ||||
\(323\) | −2.68817 | −0.149574 | ||||||||
\(324\) | −1.75641 | + | 19.0127i | −0.0975783 | + | 1.05626i | ||||
\(325\) | −2.08425 | + | 3.61003i | −0.115613 | + | 0.200248i | ||||
\(326\) | 1.38401 | + | 0.503737i | 0.0766531 | + | 0.0278994i | ||||
\(327\) | −7.37940 | − | 25.4324i | −0.408082 | − | 1.40641i | ||||
\(328\) | −2.56394 | + | 0.933199i | −0.141570 | + | 0.0515273i | ||||
\(329\) | 7.88837 | + | 0.0405422i | 0.434900 | + | 0.00223517i | ||||
\(330\) | 3.41113 | − | 51.0939i | 0.187776 | − | 2.81262i | ||||
\(331\) | 4.84703 | + | 27.4889i | 0.266417 | + | 1.51092i | 0.764971 | + | 0.644065i | \(0.222754\pi\) |
−0.498554 | + | 0.866859i | \(0.666135\pi\) | |||||||
\(332\) | 5.38930 | 0.295776 | ||||||||
\(333\) | −1.00860 | − | 24.4626i | −0.0552709 | − | 1.34054i | ||||
\(334\) | 13.0152 | 0.712161 | ||||||||
\(335\) | 18.5461 | − | 15.5620i | 1.01328 | − | 0.850242i | ||||
\(336\) | 4.69407 | + | 16.4939i | 0.256082 | + | 0.899818i | ||||
\(337\) | −0.429872 | + | 2.43793i | −0.0234166 | + | 0.132802i | −0.994275 | − | 0.106852i | \(-0.965923\pi\) |
0.970858 | + | 0.239654i | \(0.0770341\pi\) | |||||||
\(338\) | −9.31604 | + | 3.39076i | −0.506726 | + | 0.184433i | ||||
\(339\) | 29.8402 | − | 3.23140i | 1.62070 | − | 0.175505i | ||||
\(340\) | −4.53058 | − | 25.6942i | −0.245705 | − | 1.39346i | ||||
\(341\) | −28.6278 | −1.55028 | ||||||||
\(342\) | −3.30603 | + | 0.724518i | −0.178770 | + | 0.0391774i | ||||
\(343\) | 9.50631 | − | 15.8943i | 0.513293 | − | 0.858214i | ||||
\(344\) | −1.45335 | − | 0.528978i | −0.0783596 | − | 0.0285206i | ||||
\(345\) | 0.805236 | − | 12.0613i | 0.0433525 | − | 0.649358i | ||||
\(346\) | −34.4728 | + | 12.5471i | −1.85327 | + | 0.674535i | ||||
\(347\) | −3.76942 | + | 21.3774i | −0.202353 | + | 1.14760i | 0.699198 | + | 0.714928i | \(0.253541\pi\) |
−0.901551 | + | 0.432673i | \(0.857571\pi\) | |||||||
\(348\) | 2.40337 | − | 2.50450i | 0.128834 | − | 0.134255i | ||||
\(349\) | −2.32120 | − | 13.1642i | −0.124251 | − | 0.704661i | −0.981750 | − | 0.190176i | \(-0.939094\pi\) |
0.857499 | − | 0.514485i | \(-0.172017\pi\) | |||||||
\(350\) | 1.32491 | + | 7.74655i | 0.0708195 | + | 0.414071i | ||||
\(351\) | −11.5788 | + | 9.22391i | −0.618032 | + | 0.492336i | ||||
\(352\) | 23.1726 | + | 40.1361i | 1.23510 | + | 2.13926i | ||||
\(353\) | 8.39653 | + | 3.05609i | 0.446902 | + | 0.162659i | 0.555661 | − | 0.831409i | \(-0.312465\pi\) |
−0.108758 | + | 0.994068i | \(0.534688\pi\) | |||||||
\(354\) | −9.30446 | − | 32.0669i | −0.494526 | − | 1.70434i | ||||
\(355\) | 20.5714 | + | 17.2614i | 1.09181 | + | 0.916141i | ||||
\(356\) | −10.8827 | − | 9.13170i | −0.576784 | − | 0.483979i | ||||
\(357\) | −9.05675 | + | 20.2334i | −0.479334 | + | 1.07086i | ||||
\(358\) | −23.1431 | − | 8.42342i | −1.22315 | − | 0.445191i | ||||
\(359\) | 6.48945 | − | 11.2401i | 0.342500 | − | 0.593228i | −0.642396 | − | 0.766373i | \(-0.722060\pi\) |
0.984896 | + | 0.173145i | \(0.0553930\pi\) | |||||||
\(360\) | −0.715829 | − | 1.74009i | −0.0377275 | − | 0.0917110i | ||||
\(361\) | 9.34560 | + | 16.1870i | 0.491874 | + | 0.851950i | ||||
\(362\) | 6.96633 | + | 2.53554i | 0.366142 | + | 0.133265i | ||||
\(363\) | −15.2582 | + | 34.5630i | −0.800846 | + | 1.81409i | ||||
\(364\) | 8.06674 | − | 13.8076i | 0.422812 | − | 0.723717i | ||||
\(365\) | −0.201523 | + | 1.14290i | −0.0105482 | + | 0.0598219i | ||||
\(366\) | −17.9128 | + | 1.93978i | −0.936316 | + | 0.101394i | ||||
\(367\) | 1.21615 | + | 6.89713i | 0.0634825 | + | 0.360027i | 0.999957 | + | 0.00929108i | \(0.00295749\pi\) |
−0.936474 | + | 0.350736i | \(0.885931\pi\) | |||||||
\(368\) | 5.13656 | + | 8.89679i | 0.267762 | + | 0.463777i | ||||
\(369\) | 32.8847 | + | 4.41055i | 1.71191 | + | 0.229604i | ||||
\(370\) | 21.0607 | + | 36.4781i | 1.09489 | + | 1.89641i | ||||
\(371\) | 12.4180 | + | 10.5292i | 0.644711 | + | 0.546648i | ||||
\(372\) | −16.4803 | + | 8.10232i | −0.854462 | + | 0.420086i | ||||
\(373\) | −0.110958 | + | 0.629272i | −0.00574517 | + | 0.0325825i | −0.987546 | − | 0.157333i | \(-0.949710\pi\) |
0.981800 | + | 0.189916i | \(0.0608215\pi\) | |||||||
\(374\) | −9.76867 | + | 55.4009i | −0.505126 | + | 2.86471i | ||||
\(375\) | −4.33990 | − | 14.9570i | −0.224111 | − | 0.772378i | ||||
\(376\) | 0.563477 | − | 0.472814i | 0.0290591 | − | 0.0243835i | ||||
\(377\) | 2.69123 | 0.138605 | ||||||||
\(378\) | −5.68507 | + | 27.3248i | −0.292408 | + | 1.40544i | ||||
\(379\) | 5.13223 | 0.263625 | 0.131813 | − | 0.991275i | \(-0.457920\pi\) | ||||
0.131813 | + | 0.991275i | \(0.457920\pi\) | |||||||
\(380\) | 2.29597 | − | 1.92655i | 0.117781 | − | 0.0988299i | ||||
\(381\) | 7.04803 | + | 1.73371i | 0.361081 | + | 0.0888205i | ||||
\(382\) | 0.580853 | − | 3.29418i | 0.0297190 | − | 0.168545i | ||||
\(383\) | 0.138926 | − | 0.787888i | 0.00709878 | − | 0.0402592i | −0.981053 | − | 0.193741i | \(-0.937938\pi\) |
0.988151 | + | 0.153482i | \(0.0490488\pi\) | |||||||
\(384\) | 2.83479 | + | 1.89912i | 0.144662 | + | 0.0969142i | ||||
\(385\) | 6.88551 | − | 37.9093i | 0.350918 | − | 1.93204i | ||||
\(386\) | −7.65152 | − | 13.2528i | −0.389452 | − | 0.674550i | ||||
\(387\) | 12.6724 | + | 13.8971i | 0.644175 | + | 0.706427i | ||||
\(388\) | −6.26372 | − | 10.8491i | −0.317992 | − | 0.550779i | ||||
\(389\) | −3.85385 | − | 21.8563i | −0.195398 | − | 1.10816i | −0.911851 | − | 0.410521i | \(-0.865347\pi\) |
0.716453 | − | 0.697635i | \(-0.245764\pi\) | |||||||
\(390\) | 10.2856 | − | 23.2990i | 0.520830 | − | 1.17979i | ||||
\(391\) | −2.30601 | + | 13.0780i | −0.116620 | + | 0.661384i | ||||
\(392\) | −0.282383 | − | 1.70369i | −0.0142625 | − | 0.0860495i | ||||
\(393\) | −4.63175 | + | 0.501573i | −0.233641 | + | 0.0253010i | ||||
\(394\) | 15.0293 | + | 5.47021i | 0.757164 | + | 0.275585i | ||||
\(395\) | −4.19173 | − | 7.26030i | −0.210909 | − | 0.365305i | ||||
\(396\) | 1.50189 | + | 36.4269i | 0.0754727 | + | 1.83052i | ||||
\(397\) | 0.0990744 | − | 0.171602i | 0.00497240 | − | 0.00861246i | −0.863528 | − | 0.504300i | \(-0.831751\pi\) |
0.868501 | + | 0.495688i | \(0.165084\pi\) | |||||||
\(398\) | 1.88377 | + | 0.685637i | 0.0944249 | + | 0.0343679i | ||||
\(399\) | −2.53313 | + | 0.261148i | −0.126815 | + | 0.0130738i | ||||
\(400\) | −4.19442 | − | 3.51953i | −0.209721 | − | 0.175977i | ||||
\(401\) | −10.4032 | − | 8.72931i | −0.519510 | − | 0.435921i | 0.344951 | − | 0.938621i | \(-0.387896\pi\) |
−0.864461 | + | 0.502700i | \(0.832340\pi\) | |||||||
\(402\) | −23.1854 | + | 24.1610i | −1.15638 | + | 1.20504i | ||||
\(403\) | −13.3795 | − | 4.86975i | −0.666481 | − | 0.242579i | ||||
\(404\) | −3.30350 | − | 5.72182i | −0.164355 | − | 0.284671i | ||||
\(405\) | −2.10475 | + | 22.7835i | −0.104586 | + | 1.13212i | ||||
\(406\) | 3.90352 | − | 3.24140i | 0.193729 | − | 0.160868i | ||||
\(407\) | −8.11790 | − | 46.0389i | −0.402389 | − | 2.28206i | ||||
\(408\) | 0.576016 | + | 1.98518i | 0.0285170 | + | 0.0982811i | ||||
\(409\) | 1.40459 | − | 7.96584i | 0.0694526 | − | 0.393885i | −0.930188 | − | 0.367083i | \(-0.880356\pi\) |
0.999641 | − | 0.0268022i | \(-0.00853244\pi\) | |||||||
\(410\) | −53.6390 | + | 19.5230i | −2.64904 | + | 0.964173i | ||||
\(411\) | −3.56125 | + | 1.75085i | −0.175664 | + | 0.0863629i | ||||
\(412\) | 24.7958 | + | 9.02493i | 1.22160 | + | 0.444627i | ||||
\(413\) | −4.23533 | − | 24.7633i | −0.208407 | − | 1.21852i | ||||
\(414\) | 0.688768 | + | 16.7054i | 0.0338511 | + | 0.821028i | ||||
\(415\) | 6.45814 | 0.317018 | ||||||||
\(416\) | 4.00259 | + | 22.6998i | 0.196243 | + | 1.11295i | ||||
\(417\) | 1.49292 | − | 3.38179i | 0.0731088 | − | 0.165607i | ||||
\(418\) | −6.07268 | + | 2.21027i | −0.297024 | + | 0.108108i | ||||
\(419\) | 3.04268 | − | 17.2559i | 0.148644 | − | 0.843005i | −0.815724 | − | 0.578442i | \(-0.803661\pi\) |
0.964368 | − | 0.264563i | \(-0.0852278\pi\) | |||||||
\(420\) | −6.76539 | − | 23.7721i | −0.330117 | − | 1.15996i | ||||
\(421\) | 14.4084 | − | 12.0901i | 0.702223 | − | 0.589235i | −0.220182 | − | 0.975459i | \(-0.570665\pi\) |
0.922405 | + | 0.386223i | \(0.126221\pi\) | |||||||
\(422\) | 32.5759 | 1.58577 | ||||||||
\(423\) | −8.73734 | + | 1.91479i | −0.424824 | + | 0.0931003i | ||||
\(424\) | 1.51813 | 0.0737271 | ||||||||
\(425\) | −1.22907 | − | 6.97039i | −0.0596185 | − | 0.338113i | ||||
\(426\) | −30.8582 | − | 20.6730i | −1.49508 | − | 1.00161i | ||||
\(427\) | −13.5565 | − | 0.0696737i | −0.656046 | − | 0.00337175i | ||||
\(428\) | 14.8682 | − | 5.41158i | 0.718681 | − | 0.261578i | ||||
\(429\) | −19.5714 | + | 20.3950i | −0.944916 | + | 0.984678i | ||||
\(430\) | −30.4049 | − | 11.0665i | −1.46626 | − | 0.533674i | ||||
\(431\) | −1.50044 | + | 2.59884i | −0.0722736 | + | 0.125182i | −0.899897 | − | 0.436102i | \(-0.856359\pi\) |
0.827624 | + | 0.561283i | \(0.189692\pi\) | |||||||
\(432\) | −9.29072 | − | 17.0819i | −0.447000 | − | 0.821852i | ||||
\(433\) | −25.9071 | −1.24502 | −0.622508 | − | 0.782613i | \(-0.713886\pi\) | ||||
−0.622508 | + | 0.782613i | \(0.713886\pi\) | |||||||
\(434\) | −25.2718 | + | 9.05135i | −1.21308 | + | 0.434479i | ||||
\(435\) | 2.88002 | − | 3.00121i | 0.138086 | − | 0.143897i | ||||
\(436\) | −24.8474 | − | 20.8494i | −1.18997 | − | 0.998506i | ||||
\(437\) | −1.43353 | + | 0.521761i | −0.0685748 | + | 0.0249592i | ||||
\(438\) | 0.106927 | − | 1.60161i | 0.00510915 | − | 0.0765278i | ||||
\(439\) | 4.24499 | + | 24.0745i | 0.202602 | + | 1.14901i | 0.901168 | + | 0.433469i | \(0.142711\pi\) |
−0.698566 | + | 0.715546i | \(0.746178\pi\) | |||||||
\(440\) | −1.79636 | − | 3.11139i | −0.0856382 | − | 0.148330i | ||||
\(441\) | −6.56877 | + | 19.9462i | −0.312798 | + | 0.949820i | ||||
\(442\) | −13.9895 | + | 24.2305i | −0.665412 | + | 1.15253i | ||||
\(443\) | −4.17871 | − | 1.52093i | −0.198537 | − | 0.0722614i | 0.240838 | − | 0.970565i | \(-0.422578\pi\) |
−0.439375 | + | 0.898304i | \(0.644800\pi\) | |||||||
\(444\) | −17.7033 | − | 24.2058i | −0.840161 | − | 1.14876i | ||||
\(445\) | −13.0411 | − | 10.9428i | −0.618206 | − | 0.518736i | ||||
\(446\) | −11.0683 | + | 4.02852i | −0.524097 | + | 0.190756i | ||||
\(447\) | 5.68100 | − | 12.8687i | 0.268702 | − | 0.608668i | ||||
\(448\) | 18.0426 | + | 15.2982i | 0.852431 | + | 0.722773i | ||||
\(449\) | −2.20153 | + | 3.81316i | −0.103896 | + | 0.179954i | −0.913287 | − | 0.407317i | \(-0.866464\pi\) |
0.809390 | + | 0.587271i | \(0.199798\pi\) | |||||||
\(450\) | −3.39022 | − | 8.24123i | −0.159817 | − | 0.388495i | ||||
\(451\) | 63.3529 | 2.98317 | ||||||||
\(452\) | 28.1626 | − | 23.6313i | 1.32466 | − | 1.11152i | ||||
\(453\) | −23.1435 | − | 15.5047i | −1.08738 | − | 0.728473i | ||||
\(454\) | 39.2632 | + | 32.9457i | 1.84271 | + | 1.54622i | ||||
\(455\) | 9.66659 | − | 16.5461i | 0.453177 | − | 0.775691i | ||||
\(456\) | −0.164412 | + | 0.171330i | −0.00769927 | + | 0.00802326i | ||||
\(457\) | −31.8323 | + | 26.7105i | −1.48905 | + | 1.24946i | −0.593241 | + | 0.805025i | \(0.702152\pi\) |
−0.895810 | + | 0.444438i | \(0.853404\pi\) | |||||||
\(458\) | 20.8960 | − | 36.1929i | 0.976406 | − | 1.69118i | ||||
\(459\) | 4.99348 | − | 24.6350i | 0.233076 | − | 1.14986i | ||||
\(460\) | −7.40315 | − | 12.8226i | −0.345174 | − | 0.597858i | ||||
\(461\) | −4.35940 | − | 24.7234i | −0.203037 | − | 1.15148i | −0.900499 | − | 0.434859i | \(-0.856798\pi\) |
0.697461 | − | 0.716623i | \(-0.254313\pi\) | |||||||
\(462\) | −3.82320 | + | 53.1546i | −0.177871 | + | 2.47297i | ||||
\(463\) | 21.8134 | − | 7.93944i | 1.01376 | − | 0.368977i | 0.218882 | − | 0.975751i | \(-0.429759\pi\) |
0.794874 | + | 0.606774i | \(0.207537\pi\) | |||||||
\(464\) | −0.613844 | + | 3.48128i | −0.0284970 | + | 0.161615i | ||||
\(465\) | −19.7487 | + | 9.70923i | −0.915825 | + | 0.450255i | ||||
\(466\) | −44.9756 | + | 37.7390i | −2.08346 | + | 1.74823i | ||||
\(467\) | 3.42146 | − | 5.92613i | 0.158326 | − | 0.274229i | −0.775939 | − | 0.630808i | \(-0.782724\pi\) |
0.934265 | + | 0.356579i | \(0.116057\pi\) | |||||||
\(468\) | −5.49449 | + | 17.2800i | −0.253983 | + | 0.798767i | ||||
\(469\) | −19.3839 | + | 16.0960i | −0.895066 | + | 0.743244i | ||||
\(470\) | 11.7882 | − | 9.89151i | 0.543751 | − | 0.456261i | ||||
\(471\) | −3.93532 | + | 8.91434i | −0.181330 | + | 0.410751i | ||||
\(472\) | −1.79454 | − | 1.50580i | −0.0826004 | − | 0.0693100i | ||||
\(473\) | 27.5096 | + | 23.0833i | 1.26489 | + | 1.06137i | ||||
\(474\) | 6.84520 | + | 9.35946i | 0.314410 | + | 0.429894i | ||||
\(475\) | 0.622857 | − | 0.522639i | 0.0285786 | − | 0.0239803i | ||||
\(476\) | 4.57750 | + | 26.7639i | 0.209809 | + | 1.22672i | ||||
\(477\) | −16.3543 | − | 8.56400i | −0.748811 | − | 0.392119i | ||||
\(478\) | 14.0763 | − | 24.3809i | 0.643836 | − | 1.11516i | ||||
\(479\) | −6.31239 | + | 5.29673i | −0.288421 | + | 0.242014i | −0.775505 | − | 0.631341i | \(-0.782505\pi\) |
0.487085 | + | 0.873355i | \(0.338060\pi\) | |||||||
\(480\) | 29.5978 | + | 19.8286i | 1.35095 | + | 0.905047i | ||||
\(481\) | 4.03747 | − | 22.8976i | 0.184093 | − | 1.04404i | ||||
\(482\) | 15.4598 | − | 5.62690i | 0.704174 | − | 0.256298i | ||||
\(483\) | −0.902511 | + | 12.5478i | −0.0410657 | + | 0.570942i | ||||
\(484\) | 8.03585 | + | 45.5736i | 0.365266 | + | 2.07153i | ||||
\(485\) | −7.50598 | − | 13.0007i | −0.340829 | − | 0.590333i | ||||
\(486\) | −0.498439 | − | 31.6430i | −0.0226096 | − | 1.43536i | ||||
\(487\) | −18.6466 | + | 32.2969i | −0.844958 | + | 1.46351i | 0.0406993 | + | 0.999171i | \(0.487041\pi\) |
−0.885658 | + | 0.464339i | \(0.846292\pi\) | |||||||
\(488\) | −0.968362 | + | 0.812552i | −0.0438357 | + | 0.0367825i | ||||
\(489\) | −1.22019 | − | 0.300148i | −0.0551789 | − | 0.0135732i | ||||
\(490\) | −5.90759 | − | 35.6422i | −0.266878 | − | 1.61015i | ||||
\(491\) | 3.56990 | + | 2.99550i | 0.161107 | + | 0.135185i | 0.719778 | − | 0.694205i | \(-0.244244\pi\) |
−0.558670 | + | 0.829390i | \(0.688688\pi\) | |||||||
\(492\) | 36.4705 | − | 17.9303i | 1.64422 | − | 0.808361i | ||||
\(493\) | −3.50050 | + | 2.93727i | −0.157655 | + | 0.132288i | ||||
\(494\) | −3.21411 | −0.144610 | ||||||||
\(495\) | 1.79975 | + | 43.6513i | 0.0808928 | + | 1.96198i | ||||
\(496\) | 9.35108 | − | 16.1966i | 0.419876 | − | 0.727247i | ||||
\(497\) | −21.3161 | − | 18.0738i | −0.956156 | − | 0.810721i | ||||
\(498\) | −8.88061 | + | 0.961683i | −0.397950 | + | 0.0430941i | ||||
\(499\) | 2.08470 | − | 0.758770i | 0.0933241 | − | 0.0339672i | −0.294936 | − | 0.955517i | \(-0.595298\pi\) |
0.388260 | + | 0.921550i | \(0.373076\pi\) | |||||||
\(500\) | −14.6130 | − | 12.2618i | −0.653513 | − | 0.548362i | ||||
\(501\) | −11.0396 | + | 1.19548i | −0.493211 | + | 0.0534099i | ||||
\(502\) | −5.59028 | − | 2.03469i | −0.249506 | − | 0.0908129i | ||||
\(503\) | 6.91864 | − | 11.9834i | 0.308487 | − | 0.534315i | −0.669545 | − | 0.742772i | \(-0.733511\pi\) |
0.978032 | + | 0.208457i | \(0.0668441\pi\) | |||||||
\(504\) | 0.735648 | + | 1.81472i | 0.0327684 | + | 0.0808342i | ||||
\(505\) | −3.95867 | − | 6.85661i | −0.176158 | − | 0.305115i | ||||
\(506\) | 5.54368 | + | 31.4398i | 0.246447 | + | 1.39767i | ||||
\(507\) | 7.59046 | − | 3.73176i | 0.337104 | − | 0.165733i | ||||
\(508\) | 8.35405 | − | 3.04063i | 0.370651 | − | 0.134906i | ||||
\(509\) | 1.52005 | + | 1.27547i | 0.0673751 | + | 0.0565344i | 0.675853 | − | 0.737036i | \(-0.263775\pi\) |
−0.608478 | + | 0.793571i | \(0.708220\pi\) | |||||||
\(510\) | 12.0505 | + | 41.5310i | 0.533607 | + | 1.83903i | ||||
\(511\) | 0.215836 | − | 1.18832i | 0.00954802 | − | 0.0525682i | ||||
\(512\) | −32.1231 | −1.41966 | ||||||||
\(513\) | 2.73764 | − | 0.918205i | 0.120870 | − | 0.0405397i | ||||
\(514\) | 17.6049 | − | 30.4926i | 0.776520 | − | 1.34497i | ||||
\(515\) | 29.7135 | + | 10.8148i | 1.30933 | + | 0.476558i | ||||
\(516\) | 22.3696 | + | 5.50258i | 0.984766 | + | 0.242237i | ||||
\(517\) | −16.0492 | + | 5.84142i | −0.705842 | + | 0.256905i | ||||
\(518\) | −21.7225 | − | 38.0750i | −0.954431 | − | 1.67292i | ||||
\(519\) | 28.0875 | − | 13.8089i | 1.23290 | − | 0.606143i | ||||
\(520\) | −0.310284 | − | 1.75971i | −0.0136069 | − | 0.0771684i | ||||
\(521\) | 28.4951 | 1.24839 | 0.624196 | − | 0.781268i | \(-0.285427\pi\) | ||||
0.624196 | + | 0.781268i | \(0.285427\pi\) | |||||||
\(522\) | −3.51341 | + | 4.55583i | −0.153778 | + | 0.199403i | ||||
\(523\) | −41.5117 | −1.81518 | −0.907590 | − | 0.419857i | \(-0.862080\pi\) | ||||
−0.907590 | + | 0.419857i | \(0.862080\pi\) | |||||||
\(524\) | −4.37137 | + | 3.66801i | −0.190964 | + | 0.160238i | ||||
\(525\) | −1.83533 | − | 6.44896i | −0.0801005 | − | 0.281456i | ||||
\(526\) | 5.19530 | − | 29.4640i | 0.226526 | − | 1.28469i | ||||
\(527\) | 22.7178 | − | 8.26859i | 0.989602 | − | 0.360186i | ||||
\(528\) | −21.9182 | − | 29.9688i | −0.953867 | − | 1.30423i | ||||
\(529\) | −2.68526 | − | 15.2289i | −0.116750 | − | 0.662124i | ||||
\(530\) | 31.7602 | 1.37957 | ||||||||
\(531\) | 10.8375 | + | 26.3446i | 0.470307 | + | 1.14326i | ||||
\(532\) | −2.39970 | + | 1.99266i | −0.104040 | + | 0.0863927i | ||||
\(533\) | 29.6086 | + | 10.7767i | 1.28249 | + | 0.466789i | ||||
\(534\) | 19.5623 | + | 13.1055i | 0.846544 | + | 0.567129i | ||||
\(535\) | 17.8169 | − | 6.48483i | 0.770293 | − | 0.280364i | ||||
\(536\) | −0.407966 | + | 2.31369i | −0.0176214 | + | 0.0999362i | ||||
\(537\) | 20.4038 | + | 5.01903i | 0.880490 | + | 0.216587i | ||||
\(538\) | −10.5992 | − | 60.1109i | −0.456963 | − | 2.59157i | ||||
\(539\) | −7.36844 | + | 39.4150i | −0.317381 | + | 1.69772i | ||||
\(540\) | 13.3904 | + | 24.6195i | 0.576230 | + | 1.05945i | ||||
\(541\) | 6.73979 | + | 11.6737i | 0.289766 | + | 0.501890i | 0.973754 | − | 0.227604i | \(-0.0730891\pi\) |
−0.683987 | + | 0.729494i | \(0.739756\pi\) | |||||||
\(542\) | 35.9069 | + | 13.0691i | 1.54234 | + | 0.561364i | ||||
\(543\) | −6.14176 | − | 1.51078i | −0.263568 | − | 0.0648338i | ||||
\(544\) | −29.9813 | − | 25.1573i | −1.28544 | − | 1.07861i | ||||
\(545\) | −29.7753 | − | 24.9844i | −1.27543 | − | 1.07022i | ||||
\(546\) | −10.8287 | + | 24.1920i | −0.463425 | + | 1.03532i | ||||
\(547\) | −38.5140 | − | 14.0180i | −1.64674 | − | 0.599365i | −0.658543 | − | 0.752543i | \(-0.728827\pi\) |
−0.988199 | + | 0.153178i | \(0.951049\pi\) | |||||||
\(548\) | −2.43035 | + | 4.20949i | −0.103819 | + | 0.179821i | ||||
\(549\) | 15.0155 | − | 3.29066i | 0.640846 | − | 0.140442i | ||||
\(550\) | −8.50771 | − | 14.7358i | −0.362770 | − | 0.628336i | ||||
\(551\) | −0.493277 | − | 0.179538i | −0.0210143 | − | 0.00764858i | ||||
\(552\) | 0.692487 | + | 0.946839i | 0.0294742 | + | 0.0403002i | ||||
\(553\) | 4.32346 | + | 7.57813i | 0.183852 | + | 0.322255i | ||||
\(554\) | −10.6851 | + | 60.5982i | −0.453966 | + | 2.57457i | ||||
\(555\) | −21.2143 | − | 29.0064i | −0.900498 | − | 1.23125i | ||||
\(556\) | −0.786261 | − | 4.45911i | −0.0333449 | − | 0.189108i | ||||
\(557\) | 2.11105 | + | 3.65645i | 0.0894482 | + | 0.154929i | 0.907278 | − | 0.420531i | \(-0.138156\pi\) |
−0.817830 | + | 0.575460i | \(0.804823\pi\) | |||||||
\(558\) | 25.7107 | − | 16.2920i | 1.08842 | − | 0.689695i | ||||
\(559\) | 8.93030 | + | 15.4677i | 0.377711 | + | 0.654215i | ||||
\(560\) | 19.1986 | + | 16.2784i | 0.811287 | + | 0.687887i | ||||
\(561\) | 3.19713 | − | 47.8885i | 0.134983 | − | 2.02186i | ||||
\(562\) | 1.67844 | − | 9.51893i | 0.0708009 | − | 0.401532i | ||||
\(563\) | −5.09575 | + | 28.8994i | −0.214760 | + | 1.21797i | 0.666562 | + | 0.745450i | \(0.267765\pi\) |
−0.881322 | + | 0.472516i | \(0.843346\pi\) | |||||||
\(564\) | −7.58581 | + | 7.90502i | −0.319420 | + | 0.332861i | ||||
\(565\) | 33.7480 | − | 28.3180i | 1.41979 | − | 1.19135i | ||||
\(566\) | 19.9614 | 0.839041 | ||||||||
\(567\) | 2.31225 | − | 23.6992i | 0.0971054 | − | 0.995274i | ||||
\(568\) | −2.60595 | −0.109343 | ||||||||
\(569\) | −8.40773 | + | 7.05492i | −0.352470 | + | 0.295758i | −0.801781 | − | 0.597618i | \(-0.796114\pi\) |
0.449311 | + | 0.893376i | \(0.351670\pi\) | |||||||
\(570\) | −3.43958 | + | 3.58431i | −0.144068 | + | 0.150130i | ||||
\(571\) | −1.29682 | + | 7.35465i | −0.0542704 | + | 0.307783i | −0.999845 | − | 0.0176236i | \(-0.994390\pi\) |
0.945574 | + | 0.325406i | \(0.105501\pi\) | |||||||
\(572\) | −6.01214 | + | 34.0965i | −0.251380 | + | 1.42565i | ||||
\(573\) | −0.190104 | + | 2.84749i | −0.00794171 | + | 0.118956i | ||||
\(574\) | 55.9260 | − | 20.0305i | 2.33431 | − | 0.836056i | ||||
\(575\) | −2.00834 | − | 3.47855i | −0.0837538 | − | 0.145066i | ||||
\(576\) | −23.7617 | − | 12.4429i | −0.990072 | − | 0.518456i | ||||
\(577\) | −3.85645 | − | 6.67956i | −0.160546 | − | 0.278074i | 0.774519 | − | 0.632551i | \(-0.217992\pi\) |
−0.935065 | + | 0.354477i | \(0.884659\pi\) | |||||||
\(578\) | −2.25644 | − | 12.7969i | −0.0938555 | − | 0.532281i | ||||
\(579\) | 7.70735 | + | 10.5383i | 0.320306 | + | 0.437956i | ||||
\(580\) | 0.884712 | − | 5.01745i | 0.0367357 | − | 0.208338i | ||||
\(581\) | −6.72091 | − | 0.0345421i | −0.278831 | − | 0.00143305i | ||||
\(582\) | 12.2574 | + | 16.7596i | 0.508088 | + | 0.694710i | ||||
\(583\) | −33.1238 | − | 12.0561i | −1.37185 | − | 0.499312i | ||||
\(584\) | −0.0563095 | − | 0.0975308i | −0.00233010 | − | 0.00403585i | ||||
\(585\) | −6.58419 | + | 20.7070i | −0.272223 | + | 0.856131i | ||||
\(586\) | 21.1561 | − | 36.6435i | 0.873952 | − | 1.51373i | ||||
\(587\) | −11.7083 | − | 4.26146i | −0.483252 | − | 0.175889i | 0.0888943 | − | 0.996041i | \(-0.471667\pi\) |
−0.572146 | + | 0.820152i | \(0.693889\pi\) | |||||||
\(588\) | 6.91352 | + | 24.7756i | 0.285109 | + | 1.02173i | ||||
\(589\) | 2.12747 | + | 1.78516i | 0.0876607 | + | 0.0735561i | ||||
\(590\) | −37.5427 | − | 31.5021i | −1.54561 | − | 1.29692i | ||||
\(591\) | −13.2504 | − | 3.25938i | −0.545047 | − | 0.134073i | ||||
\(592\) | 28.6987 | + | 10.4455i | 1.17951 | + | 0.429307i | ||||
\(593\) | 8.24951 | + | 14.2886i | 0.338767 | + | 0.586761i | 0.984201 | − | 0.177055i | \(-0.0566569\pi\) |
−0.645434 | + | 0.763816i | \(0.723324\pi\) | |||||||
\(594\) | −8.97498 | − | 59.7571i | −0.368248 | − | 2.45186i | ||||
\(595\) | 5.48534 | + | 32.0719i | 0.224877 | + | 1.31482i | ||||
\(596\) | −2.99195 | − | 16.9682i | −0.122555 | − | 0.695044i | ||||
\(597\) | −1.66080 | − | 0.408531i | −0.0679720 | − | 0.0167201i | ||||
\(598\) | −2.75718 | + | 15.6367i | −0.112749 | + | 0.639433i | ||||
\(599\) | 41.2606 | − | 15.0176i | 1.68586 | − | 0.613604i | 0.691769 | − | 0.722118i | \(-0.256831\pi\) |
0.994095 | + | 0.108514i | \(0.0346092\pi\) | |||||||
\(600\) | −0.519427 | − | 0.347982i | −0.0212055 | − | 0.0142063i | ||||
\(601\) | −30.4547 | − | 11.0846i | −1.24227 | − | 0.452151i | −0.364490 | − | 0.931207i | \(-0.618757\pi\) |
−0.877784 | + | 0.479057i | \(0.840979\pi\) | |||||||
\(602\) | 31.5829 | + | 11.6794i | 1.28722 | + | 0.476017i | ||||
\(603\) | 17.4467 | − | 22.6231i | 0.710485 | − | 0.921285i | ||||
\(604\) | −34.1211 | −1.38837 | ||||||||
\(605\) | 9.62957 | + | 54.6120i | 0.391498 | + | 2.22029i | ||||
\(606\) | 6.46460 | + | 8.83906i | 0.262606 | + | 0.359062i | ||||
\(607\) | 39.2272 | − | 14.2775i | 1.59218 | − | 0.579507i | 0.614376 | − | 0.789013i | \(-0.289408\pi\) |
0.977807 | + | 0.209506i | \(0.0671855\pi\) | |||||||
\(608\) | 0.780721 | − | 4.42769i | 0.0316624 | − | 0.179566i | ||||
\(609\) | −3.01325 | + | 3.10792i | −0.122103 | + | 0.125939i | ||||
\(610\) | −20.2586 | + | 16.9990i | −0.820248 | + | 0.688270i | ||||
\(611\) | −8.49440 | −0.343647 | ||||||||
\(612\) | −11.7130 | − | 28.4730i | −0.473471 | − | 1.15095i | ||||
\(613\) | −38.2771 | −1.54600 | −0.772999 | − | 0.634408i | \(-0.781244\pi\) | ||||
−0.772999 | + | 0.634408i | \(0.781244\pi\) | |||||||
\(614\) | −11.4677 | − | 65.0365i | −0.462799 | − | 2.62466i | ||||
\(615\) | 43.7036 | − | 21.4864i | 1.76230 | − | 0.866414i | ||||
\(616\) | 1.85281 | + | 3.24760i | 0.0746519 | + | 0.130849i | ||||
\(617\) | 31.1195 | − | 11.3266i | 1.25282 | − | 0.455990i | 0.371469 | − | 0.928445i | \(-0.378854\pi\) |
0.881355 | + | 0.472455i | \(0.156632\pi\) | |||||||
\(618\) | −42.4695 | − | 10.4469i | −1.70837 | − | 0.420234i | ||||
\(619\) | −9.82447 | − | 3.57581i | −0.394879 | − | 0.143724i | 0.136946 | − | 0.990579i | \(-0.456271\pi\) |
−0.531825 | + | 0.846854i | \(0.678494\pi\) | |||||||
\(620\) | −13.4774 | + | 23.3435i | −0.541265 | + | 0.937498i | ||||
\(621\) | −2.11865 | − | 14.1064i | −0.0850184 | − | 0.566068i | ||||
\(622\) | 12.8718 | 0.516112 | ||||||||
\(623\) | 13.5132 | + | 11.4578i | 0.541394 | + | 0.459045i | ||||
\(624\) | −5.14584 | − | 17.7346i | −0.205998 | − | 0.709954i | ||||
\(625\) | −23.1154 | − | 19.3961i | −0.924614 | − | 0.775844i | ||||
\(626\) | 51.8406 | − | 18.8684i | 2.07197 | − | 0.754134i | ||||
\(627\) | 4.94785 | − | 2.43255i | 0.197598 | − | 0.0971467i | ||||
\(628\) | 2.07257 | + | 11.7541i | 0.0827046 | + | 0.469041i | ||||
\(629\) | 19.7394 | + | 34.1897i | 0.787063 | + | 1.36323i | ||||
\(630\) | 15.3901 | + | 37.9650i | 0.613158 | + | 1.51256i | ||||
\(631\) | 3.39863 | − | 5.88659i | 0.135297 | − | 0.234342i | −0.790414 | − | 0.612573i | \(-0.790134\pi\) |
0.925711 | + | 0.378232i | \(0.123468\pi\) | |||||||
\(632\) | 0.764479 | + | 0.278248i | 0.0304093 | + | 0.0110681i | ||||
\(633\) | −27.6310 | + | 2.99217i | −1.09823 | + | 0.118928i | ||||
\(634\) | 6.06089 | + | 5.08569i | 0.240709 | + | 0.201979i | ||||
\(635\) | 10.0109 | − | 3.64366i | 0.397270 | − | 0.144594i | ||||
\(636\) | −22.4806 | + | 2.43443i | −0.891414 | + | 0.0965314i | ||||
\(637\) | −10.1484 | + | 17.1676i | −0.402095 | + | 0.680205i | ||||
\(638\) | −5.49267 | + | 9.51358i | −0.217457 | + | 0.376646i | ||||
\(639\) | 28.0729 | + | 14.7005i | 1.11055 | + | 0.581543i | ||||
\(640\) | 5.00828 | 0.197970 | ||||||||
\(641\) | −3.75248 | + | 3.14871i | −0.148214 | + | 0.124367i | −0.713880 | − | 0.700268i | \(-0.753064\pi\) |
0.565666 | + | 0.824635i | \(0.308619\pi\) | |||||||
\(642\) | −23.5345 | + | 11.5704i | −0.928831 | + | 0.456649i | ||||
\(643\) | −16.7039 | − | 14.0162i | −0.658736 | − | 0.552745i | 0.250972 | − | 0.967994i | \(-0.419250\pi\) |
−0.909708 | + | 0.415249i | \(0.863694\pi\) | |||||||
\(644\) | 7.63579 | + | 13.3840i | 0.300892 | + | 0.527402i | ||||
\(645\) | 26.8061 | + | 6.59388i | 1.05549 | + | 0.259634i | ||||
\(646\) | 4.18061 | − | 3.50795i | 0.164484 | − | 0.138018i | ||||
\(647\) | 20.0922 | − | 34.8007i | 0.789906 | − | 1.36816i | −0.136118 | − | 0.990693i | \(-0.543462\pi\) |
0.926024 | − | 0.377465i | \(-0.123204\pi\) | |||||||
\(648\) | −1.26470 | − | 1.82496i | −0.0496820 | − | 0.0716913i | ||||
\(649\) | 27.1965 | + | 47.1058i | 1.06756 | + | 1.84906i | ||||
\(650\) | −1.46953 | − | 8.33413i | −0.0576398 | − | 0.326892i | ||||
\(651\) | 20.6042 | − | 9.99866i | 0.807543 | − | 0.391878i | ||||
\(652\) | −1.44629 | + | 0.526408i | −0.0566413 | + | 0.0206157i | ||||
\(653\) | −0.728550 | + | 4.13181i | −0.0285104 | + | 0.161690i | −0.995739 | − | 0.0922169i | \(-0.970605\pi\) |
0.967229 | + | 0.253907i | \(0.0817158\pi\) | |||||||
\(654\) | 44.6645 | + | 29.9223i | 1.74652 | + | 1.17006i | ||||
\(655\) | −5.23832 | + | 4.39548i | −0.204678 | + | 0.171745i | ||||
\(656\) | −20.6938 | + | 35.8427i | −0.807957 | + | 1.39942i | ||||
\(657\) | 0.0564157 | + | 1.36831i | 0.00220099 | + | 0.0533829i | ||||
\(658\) | −12.3208 | + | 10.2309i | −0.480315 | + | 0.398843i | ||||
\(659\) | −2.95798 | + | 2.48204i | −0.115226 | + | 0.0966864i | −0.698580 | − | 0.715532i | \(-0.746185\pi\) |
0.583354 | + | 0.812218i | \(0.301740\pi\) | |||||||
\(660\) | 31.5899 | + | 43.1930i | 1.22964 | + | 1.68129i | ||||
\(661\) | −1.93691 | − | 1.62526i | −0.0753372 | − | 0.0632155i | 0.604341 | − | 0.796725i | \(-0.293436\pi\) |
−0.679679 | + | 0.733510i | \(0.737881\pi\) | |||||||
\(662\) | −43.4098 | − | 36.4252i | −1.68717 | − | 1.41570i | ||||
\(663\) | 9.64031 | − | 21.8374i | 0.374398 | − | 0.848093i | ||||
\(664\) | −0.480084 | + | 0.402839i | −0.0186309 | + | 0.0156332i | ||||
\(665\) | −2.87562 | + | 2.38785i | −0.111512 | + | 0.0925970i | ||||
\(666\) | 33.4912 | + | 36.7278i | 1.29776 | + | 1.42317i | ||||
\(667\) | −1.29661 | + | 2.24579i | −0.0502049 | + | 0.0869574i | ||||
\(668\) | −10.4189 | + | 8.74253i | −0.403121 | + | 0.338259i | ||||
\(669\) | 9.01812 | − | 4.43365i | 0.348660 | − | 0.171415i | ||||
\(670\) | −8.53486 | + | 48.4036i | −0.329731 | + | 1.86999i | ||||
\(671\) | 27.5812 | − | 10.0387i | 1.06476 | − | 0.387541i | ||||
\(672\) | −30.6960 | − | 20.7937i | −1.18413 | − | 0.802135i | ||||
\(673\) | 5.48831 | + | 31.1257i | 0.211559 | + | 1.19981i | 0.886779 | + | 0.462193i | \(0.152937\pi\) |
−0.675220 | + | 0.737616i | \(0.735952\pi\) | |||||||
\(674\) | −2.51286 | − | 4.35240i | −0.0967917 | − | 0.167648i | ||||
\(675\) | 3.63258 | + | 6.67884i | 0.139818 | + | 0.257069i | ||||
\(676\) | 5.18005 | − | 8.97211i | 0.199233 | − | 0.345081i | ||||
\(677\) | −34.7742 | + | 29.1790i | −1.33648 | + | 1.12144i | −0.353964 | + | 0.935259i | \(0.615167\pi\) |
−0.982516 | + | 0.186181i | \(0.940389\pi\) | |||||||
\(678\) | −42.1902 | + | 43.9656i | −1.62031 | + | 1.68849i | ||||
\(679\) | 7.74186 | + | 13.5699i | 0.297105 | + | 0.520764i | ||||
\(680\) | 2.32418 | + | 1.95021i | 0.0891281 | + | 0.0747873i | ||||
\(681\) | −36.3293 | − | 24.3383i | −1.39214 | − | 0.932644i | ||||
\(682\) | 44.5217 | − | 37.3581i | 1.70482 | − | 1.43052i | ||||
\(683\) | −34.2783 | −1.31162 | −0.655811 | − | 0.754925i | \(-0.727673\pi\) | ||||
−0.655811 | + | 0.754925i | \(0.727673\pi\) | |||||||
\(684\) | 2.15987 | − | 2.80071i | 0.0825848 | − | 0.107088i | ||||
\(685\) | −2.91235 | + | 5.04434i | −0.111275 | + | 0.192735i | ||||
\(686\) | 5.95733 | + | 37.1240i | 0.227452 | + | 1.41740i | ||||
\(687\) | −14.3997 | + | 32.6183i | −0.549381 | + | 1.24447i | ||||
\(688\) | −22.0455 | + | 8.02389i | −0.840475 | + | 0.305908i | ||||
\(689\) | −13.4299 | − | 11.2691i | −0.511640 | − | 0.429317i | ||||
\(690\) | 14.4872 | + | 19.8084i | 0.551518 | + | 0.754092i | ||||
\(691\) | 16.9571 | + | 6.17189i | 0.645080 | + | 0.234790i | 0.643782 | − | 0.765209i | \(-0.277365\pi\) |
0.00129822 | + | 0.999999i | \(0.499587\pi\) | |||||||
\(692\) | 19.1681 | − | 33.2001i | 0.728662 | − | 1.26208i | ||||
\(693\) | −1.63951 | − | 45.4371i | −0.0622797 | − | 1.72601i | ||||
\(694\) | −22.0345 | − | 38.1648i | −0.836417 | − | 1.44872i | ||||
\(695\) | −0.942198 | − | 5.34347i | −0.0357396 | − | 0.202689i | ||||
\(696\) | −0.0268884 | + | 0.402750i | −0.00101920 | + | 0.0152662i | ||||
\(697\) | −50.2741 | + | 18.2983i | −1.90427 | + | 0.693096i | ||||
\(698\) | 20.7885 | + | 17.4437i | 0.786858 | + | 0.660252i | ||||
\(699\) | 34.6821 | − | 36.1415i | 1.31180 | − | 1.36700i | ||||
\(700\) | −6.26410 | − | 5.31131i | −0.236761 | − | 0.200749i | ||||
\(701\) | 22.9450 | 0.866620 | 0.433310 | − | 0.901245i | \(-0.357345\pi\) | ||||
0.433310 | + | 0.901245i | \(0.357345\pi\) | |||||||
\(702\) | 5.97045 | − | 29.4548i | 0.225340 | − | 1.11170i | ||||
\(703\) | −2.26759 | + | 3.92757i | −0.0855236 | + | 0.148131i | ||||
\(704\) | −48.1268 | − | 17.5167i | −1.81385 | − | 0.660186i | ||||
\(705\) | −9.09028 | + | 9.47280i | −0.342360 | + | 0.356766i | ||||
\(706\) | −17.0462 | + | 6.20433i | −0.641544 | + | 0.233503i | ||||
\(707\) | 4.08307 | + | 7.15677i | 0.153560 | + | 0.269158i | ||||
\(708\) | 28.9883 | + | 19.4203i | 1.08945 | + | 0.729858i | ||||
\(709\) | −2.63518 | − | 14.9449i | −0.0989664 | − | 0.561266i | −0.993460 | − | 0.114185i | \(-0.963574\pi\) |
0.894493 | − | 0.447082i | \(-0.147537\pi\) | |||||||
\(710\) | −54.5178 | −2.04601 | ||||||||
\(711\) | −6.66581 | − | 7.30999i | −0.249987 | − | 0.274146i | ||||
\(712\) | 1.65202 | 0.0619121 | ||||||||
\(713\) | 10.5099 | − | 8.81881i | 0.393597 | − | 0.330267i | ||||
\(714\) | −12.3187 | − | 43.2853i | −0.461017 | − | 1.61991i | ||||
\(715\) | −7.20450 | + | 40.8588i | −0.269433 | + | 1.52803i | ||||
\(716\) | 24.1847 | − | 8.80252i | 0.903825 | − | 0.328965i | ||||
\(717\) | −9.70015 | + | 21.9729i | −0.362259 | + | 0.820593i | ||||
\(718\) | 4.57548 | + | 25.9488i | 0.170755 | + | 0.968402i | ||||
\(719\) | −42.4405 | −1.58276 | −0.791381 | − | 0.611323i | \(-0.790638\pi\) | ||||
−0.791381 | + | 0.611323i | \(0.790638\pi\) | |||||||
\(720\) | −25.2842 | − | 13.2402i | −0.942285 | − | 0.493432i | ||||
\(721\) | −30.8646 | − | 11.4138i | −1.14946 | − | 0.425072i | ||||
\(722\) | −35.6576 | − | 12.9783i | −1.32704 | − | 0.483002i | ||||
\(723\) | −12.5962 | + | 6.19278i | −0.468458 | + | 0.230312i | ||||
\(724\) | −7.27985 | + | 2.64965i | −0.270554 | + | 0.0984735i | ||||
\(725\) | 0.240007 | − | 1.36115i | 0.00891363 | − | 0.0505517i | ||||
\(726\) | −21.3740 | − | 73.6632i | −0.793262 | − | 2.73390i | ||||
\(727\) | 1.22040 | + | 6.92123i | 0.0452621 | + | 0.256694i | 0.999039 | − | 0.0438200i | \(-0.0139528\pi\) |
−0.953777 | + | 0.300514i | \(0.902842\pi\) | |||||||
\(728\) | 0.313497 | + | 1.83297i | 0.0116190 | + | 0.0679344i | ||||
\(729\) | 3.32926 | + | 26.7940i | 0.123306 | + | 0.992369i | ||||
\(730\) | −1.17802 | − | 2.04040i | −0.0436006 | − | 0.0755185i | ||||
\(731\) | −28.4975 | − | 10.3722i | −1.05402 | − | 0.383632i | ||||
\(732\) | 13.0366 | − | 13.5851i | 0.481845 | − | 0.502121i | ||||
\(733\) | 25.1453 | + | 21.0994i | 0.928763 | + | 0.779325i | 0.975595 | − | 0.219578i | \(-0.0704680\pi\) |
−0.0468316 | + | 0.998903i | \(0.514912\pi\) | |||||||
\(734\) | −10.8918 | − | 9.13930i | −0.402024 | − | 0.337338i | ||||
\(735\) | 8.28466 | + | 29.6892i | 0.305584 | + | 1.09510i | ||||
\(736\) | −20.8711 | − | 7.59645i | −0.769318 | − | 0.280009i | ||||
\(737\) | 27.2752 | − | 47.2420i | 1.00469 | − | 1.74018i | ||||
\(738\) | −56.8974 | + | 36.0539i | −2.09442 | + | 1.32716i | ||||
\(739\) | −2.89676 | − | 5.01734i | −0.106559 | − | 0.184566i | 0.807815 | − | 0.589436i | \(-0.200650\pi\) |
−0.914374 | + | 0.404870i | \(0.867317\pi\) | |||||||
\(740\) | −41.3624 | − | 15.0547i | −1.52051 | − | 0.553422i | ||||
\(741\) | 2.72622 | − | 0.295223i | 0.100150 | − | 0.0108453i | ||||
\(742\) | −33.0525 | − | 0.169873i | −1.21339 | − | 0.00623623i | ||||
\(743\) | 3.82255 | − | 21.6788i | 0.140236 | − | 0.795317i | −0.830834 | − | 0.556521i | \(-0.812136\pi\) |
0.971070 | − | 0.238797i | \(-0.0767529\pi\) | |||||||
\(744\) | 0.862447 | − | 1.95363i | 0.0316188 | − | 0.0716235i | ||||
\(745\) | −3.58533 | − | 20.3334i | −0.131356 | − | 0.744959i | ||||
\(746\) | −0.648613 | − | 1.12343i | −0.0237474 | − | 0.0411317i | ||||
\(747\) | 7.44424 | − | 1.63141i | 0.272370 | − | 0.0596901i | ||||
\(748\) | −29.3937 | − | 50.9113i | −1.07474 | − | 1.86150i | ||||
\(749\) | −18.5766 | + | 6.65340i | −0.678773 | + | 0.243110i | ||||
\(750\) | 26.2676 | + | 17.5976i | 0.959159 | + | 0.642574i | ||||
\(751\) | 5.94584 | − | 33.7206i | 0.216967 | − | 1.23048i | −0.660494 | − | 0.750832i | \(-0.729653\pi\) |
0.877461 | − | 0.479649i | \(-0.159236\pi\) | |||||||
\(752\) | 1.93749 | − | 10.9881i | 0.0706531 | − | 0.400694i | ||||
\(753\) | 4.92859 | + | 1.21236i | 0.179608 | + | 0.0441807i | ||||
\(754\) | −4.18536 | + | 3.51194i | −0.152422 | + | 0.127897i | ||||
\(755\) | −40.8882 | −1.48807 | ||||||||
\(756\) | −13.8035 | − | 25.6929i | −0.502030 | − | 0.934440i | ||||
\(757\) | 7.63111 | 0.277357 | 0.138679 | − | 0.990337i | \(-0.455714\pi\) | ||||
0.138679 | + | 0.990337i | \(0.455714\pi\) | |||||||
\(758\) | −7.98158 | + | 6.69734i | −0.289904 | + | 0.243259i | ||||
\(759\) | −7.58999 | − | 26.1581i | −0.275499 | − | 0.949481i | ||||
\(760\) | −0.0605221 | + | 0.343238i | −0.00219537 | + | 0.0124506i | ||||
\(761\) | 8.38957 | − | 47.5796i | 0.304122 | − | 1.72476i | −0.323489 | − | 0.946232i | \(-0.604856\pi\) |
0.627611 | − | 0.778527i | \(-0.284033\pi\) | |||||||
\(762\) | −13.2234 | + | 6.50114i | −0.479034 | + | 0.235511i | ||||
\(763\) | 30.8532 | + | 26.1603i | 1.11696 | + | 0.947065i | ||||
\(764\) | 1.74777 | + | 3.02723i | 0.0632321 | + | 0.109521i | ||||
\(765\) | −14.0360 | − | 34.1199i | −0.507474 | − | 1.23361i | ||||
\(766\) | 0.812104 | + | 1.40661i | 0.0293425 | + | 0.0508227i | ||||
\(767\) | 4.69764 | + | 26.6416i | 0.169622 | + | 0.961974i | ||||
\(768\) | 23.9050 | − | 2.58868i | 0.862599 | − | 0.0934110i | ||||
\(769\) | −4.98810 | + | 28.2889i | −0.179875 | + | 1.02012i | 0.752489 | + | 0.658604i | \(0.228853\pi\) |
−0.932365 | + | 0.361519i | \(0.882258\pi\) | |||||||
\(770\) | 38.7618 | + | 67.9414i | 1.39688 | + | 2.44844i | ||||
\(771\) | −12.1318 | + | 27.4810i | −0.436914 | + | 0.989705i | ||||
\(772\) | 15.0273 | + | 5.46950i | 0.540845 | + | 0.196852i | ||||
\(773\) | −0.858660 | − | 1.48724i | −0.0308839 | − | 0.0534924i | 0.850170 | − | 0.526508i | \(-0.176499\pi\) |
−0.881054 | + | 0.473015i | \(0.843166\pi\) | |||||||
\(774\) | −37.8430 | − | 5.07557i | −1.36024 | − | 0.182438i | ||||
\(775\) | −3.65618 | + | 6.33269i | −0.131334 | + | 0.227477i | ||||
\(776\) | 1.36892 | + | 0.498248i | 0.0491415 | + | 0.0178861i | ||||
\(777\) | 21.9224 | + | 30.3001i | 0.786461 | + | 1.08701i | ||||
\(778\) | 34.5149 | + | 28.9615i | 1.23742 | + | 1.03832i | ||||
\(779\) | −4.70805 | − | 3.95052i | −0.168683 | − | 0.141542i | ||||
\(780\) | 7.41652 | + | 25.5603i | 0.265554 | + | 0.915206i | ||||
\(781\) | 56.8585 | + | 20.6948i | 2.03456 | + | 0.740518i | ||||
\(782\) | −13.4800 | − | 23.3480i | −0.482043 | − | 0.834924i | ||||
\(783\) | 2.56163 | − | 4.18699i | 0.0915450 | − | 0.149631i | ||||
\(784\) | −19.8927 | − | 17.0434i | −0.710452 | − | 0.608693i | ||||
\(785\) | 2.48362 | + | 14.0853i | 0.0886441 | + | 0.502726i | ||||
\(786\) | 6.54871 | − | 6.82427i | 0.233585 | − | 0.243414i | ||||
\(787\) | −4.68669 | + | 26.5795i | −0.167062 | + | 0.947457i | 0.779850 | + | 0.625966i | \(0.215295\pi\) |
−0.946913 | + | 0.321491i | \(0.895816\pi\) | |||||||
\(788\) | −15.7057 | + | 5.71640i | −0.559492 | + | 0.203638i | ||||
\(789\) | −1.70034 | + | 25.4687i | −0.0605337 | + | 0.906709i | ||||
\(790\) | 15.9933 | + | 5.82109i | 0.569016 | + | 0.207105i | ||||
\(791\) | −35.2727 | + | 29.2897i | −1.25415 | + | 1.04142i | ||||
\(792\) | −2.85662 | − | 3.13268i | −0.101506 | − | 0.111315i | ||||
\(793\) | 14.5980 | 0.518391 | ||||||||
\(794\) | 0.0698539 | + | 0.396161i | 0.00247902 | + | 0.0140592i | ||||
\(795\) | −26.9391 | + | 2.91724i | −0.955431 | + | 0.103464i | ||||
\(796\) | −1.96855 | + | 0.716494i | −0.0697734 | + | 0.0253955i | ||||
\(797\) | −2.90591 | + | 16.4802i | −0.102933 | + | 0.583760i | 0.889093 | + | 0.457726i | \(0.151336\pi\) |
−0.992026 | + | 0.126034i | \(0.959775\pi\) | |||||||
\(798\) | 3.59870 | − | 3.71176i | 0.127393 | − | 0.131395i | ||||
\(799\) | 11.0487 | − | 9.27098i | 0.390876 | − | 0.327984i | ||||
\(800\) | 11.8379 | 0.418532 | ||||||||
\(801\) | −17.7966 | − | 9.31927i | −0.628812 | − | 0.329280i | ||||
\(802\) | 27.5703 | 0.973540 | ||||||||
\(803\) | 0.454073 | + | 2.57518i | 0.0160239 | + | 0.0908760i | ||||
\(804\) | 2.33102 | − | 34.9154i | 0.0822088 | − | 1.23137i | ||||
\(805\) | 9.15017 | + | 16.0384i | 0.322501 | + | 0.565278i | ||||
\(806\) | 27.1625 | − | 9.88633i | 0.956757 | − | 0.348231i | ||||
\(807\) | 14.5116 | + | 50.0128i | 0.510832 | + | 1.76053i | ||||
\(808\) | 0.721973 | + | 0.262777i | 0.0253989 | + | 0.00924445i | ||||
\(809\) | −3.95309 | + | 6.84695i | −0.138983 | + | 0.240726i | −0.927112 | − | 0.374784i | \(-0.877717\pi\) |
0.788129 | + | 0.615510i | \(0.211050\pi\) | |||||||
\(810\) | −26.4581 | − | 38.1792i | −0.929645 | − | 1.34148i | ||||
\(811\) | 35.7609 | 1.25574 | 0.627868 | − | 0.778320i | \(-0.283928\pi\) | ||||
0.627868 | + | 0.778320i | \(0.283928\pi\) | |||||||
\(812\) | −0.947546 | + | 5.21687i | −0.0332523 | + | 0.183076i | ||||
\(813\) | −31.6568 | − | 7.78709i | −1.11025 | − | 0.273105i | ||||
\(814\) | 72.7036 | + | 61.0056i | 2.54826 | + | 2.13824i | ||||
\(815\) | −1.73313 | + | 0.630809i | −0.0607090 | + | 0.0220963i | ||||
\(816\) | 26.0492 | + | 17.4513i | 0.911905 | + | 0.610917i | ||||
\(817\) | −0.604951 | − | 3.43085i | −0.0211646 | − | 0.120030i | ||||
\(818\) | 8.21067 | + | 14.2213i | 0.287079 | + | 0.497236i | ||||
\(819\) | 6.96284 | − | 21.5144i | 0.243301 | − | 0.751773i | ||||
\(820\) | 29.8252 | − | 51.6588i | 1.04154 | − | 1.80400i | ||||
\(821\) | 30.5943 | + | 11.1354i | 1.06775 | + | 0.388629i | 0.815334 | − | 0.578991i | \(-0.196553\pi\) |
0.252414 | + | 0.967619i | \(0.418776\pi\) | |||||||
\(822\) | 3.25363 | − | 7.37017i | 0.113483 | − | 0.257064i | ||||
\(823\) | 16.6425 | + | 13.9647i | 0.580120 | + | 0.486778i | 0.884987 | − | 0.465617i | \(-0.154167\pi\) |
−0.304867 | + | 0.952395i | \(0.598612\pi\) | |||||||
\(824\) | −2.88343 | + | 1.04948i | −0.100449 | + | 0.0365605i | ||||
\(825\) | 8.56979 | + | 11.7175i | 0.298362 | + | 0.407951i | ||||
\(826\) | 38.9018 | + | 32.9847i | 1.35357 | + | 1.14768i | ||||
\(827\) | −8.58158 | + | 14.8637i | −0.298411 | + | 0.516863i | −0.975773 | − | 0.218787i | \(-0.929790\pi\) |
0.677362 | + | 0.735650i | \(0.263123\pi\) | |||||||
\(828\) | −11.7727 | − | 12.9104i | −0.409129 | − | 0.448667i | ||||
\(829\) | −12.7054 | −0.441276 | −0.220638 | − | 0.975356i | \(-0.570814\pi\) | ||||
−0.220638 | + | 0.975356i | \(0.570814\pi\) | |||||||
\(830\) | −10.0436 | + | 8.42760i | −0.348619 | + | 0.292526i | ||||
\(831\) | 3.49706 | − | 52.3811i | 0.121312 | − | 1.81708i | ||||
\(832\) | −19.5129 | − | 16.3732i | −0.676486 | − | 0.567640i | ||||
\(833\) | −5.53699 | − | 33.4062i | −0.191845 | − | 1.15746i | ||||
\(834\) | 2.09132 | + | 7.20752i | 0.0724164 | + | 0.249576i | ||||
\(835\) | −12.4853 | + | 10.4764i | −0.432072 | + | 0.362551i | ||||
\(836\) | 3.37663 | − | 5.84849i | 0.116783 | − | 0.202274i | ||||
\(837\) | −20.3115 | + | 16.1805i | −0.702068 | + | 0.559280i | ||||
\(838\) | 17.7862 | + | 30.8067i | 0.614416 | + | 1.06420i | ||||
\(839\) | 3.40606 | + | 19.3167i | 0.117590 | + | 0.666887i | 0.985435 | + | 0.170052i | \(0.0543936\pi\) |
−0.867845 | + | 0.496835i | \(0.834495\pi\) | |||||||
\(840\) | 2.37958 | + | 1.61195i | 0.0821034 | + | 0.0556174i | ||||
\(841\) | 26.4126 | − | 9.61339i | 0.910778 | − | 0.331496i | ||||
\(842\) | −6.63073 | + | 37.6047i | −0.228510 | + | 1.29594i | ||||
\(843\) | −0.549328 | + | 8.22816i | −0.0189199 | + | 0.283393i | ||||
\(844\) | −26.0777 | + | 21.8818i | −0.897631 | + | 0.753202i | ||||
\(845\) | 6.20739 | − | 10.7515i | 0.213541 | − | 0.369864i | ||||
\(846\) | 11.0895 | − | 14.3797i | 0.381264 | − | 0.494385i | ||||
\(847\) | −9.72929 | − | 56.8856i | −0.334302 | − | 1.95461i | ||||
\(848\) | 17.6405 | − | 14.8022i | 0.605778 | − | 0.508308i | ||||
\(849\) | −16.9314 | + | 1.83350i | −0.581083 | + | 0.0629256i | ||||
\(850\) | 11.0075 | + | 9.23638i | 0.377554 | + | 0.316805i | ||||
\(851\) | 17.1625 | + | 14.4011i | 0.588324 | + | 0.493663i | ||||
\(852\) | 38.5890 | − | 4.17881i | 1.32204 | − | 0.143164i | ||||
\(853\) | −26.1797 | + | 21.9674i | −0.896376 | + | 0.752149i | −0.969479 | − | 0.245175i | \(-0.921154\pi\) |
0.0731024 | + | 0.997324i | \(0.476710\pi\) | |||||||
\(854\) | 21.1739 | − | 17.5823i | 0.724554 | − | 0.601655i | ||||
\(855\) | 2.58823 | − | 3.35616i | 0.0885157 | − | 0.114778i | ||||
\(856\) | −0.919969 | + | 1.59343i | −0.0314439 | + | 0.0544624i | ||||
\(857\) | 1.99806 | − | 1.67657i | 0.0682524 | − | 0.0572706i | −0.608023 | − | 0.793919i | \(-0.708037\pi\) |
0.676276 | + | 0.736649i | \(0.263593\pi\) | |||||||
\(858\) | 3.82265 | − | 57.2578i | 0.130503 | − | 1.95475i | ||||
\(859\) | 0.897983 | − | 5.09272i | 0.0306388 | − | 0.173761i | −0.965649 | − | 0.259852i | \(-0.916326\pi\) |
0.996287 | + | 0.0860905i | \(0.0274374\pi\) | |||||||
\(860\) | 31.7733 | − | 11.5645i | 1.08346 | − | 0.394348i | ||||
\(861\) | −45.5968 | + | 22.1269i | −1.55393 | + | 0.754081i | ||||
\(862\) | −1.05791 | − | 5.99969i | −0.0360324 | − | 0.204350i | ||||
\(863\) | 21.0794 | + | 36.5106i | 0.717552 | + | 1.24284i | 0.961967 | + | 0.273166i | \(0.0880707\pi\) |
−0.244415 | + | 0.969671i | \(0.578596\pi\) | |||||||
\(864\) | 39.1260 | + | 15.3795i | 1.33109 | + | 0.523220i | ||||
\(865\) | 22.9697 | − | 39.7846i | 0.780992 | − | 1.35272i | ||||
\(866\) | 40.2904 | − | 33.8077i | 1.36912 | − | 1.14883i | ||||
\(867\) | 3.08934 | + | 10.6471i | 0.104920 | + | 0.361595i | ||||
\(868\) | 14.1506 | − | 24.2212i | 0.480303 | − | 0.822123i | ||||
\(869\) | −14.4703 | − | 12.1420i | −0.490872 | − | 0.411890i | ||||
\(870\) | −0.562519 | + | 8.42574i | −0.0190712 | + | 0.285659i | ||||
\(871\) | 20.7835 | − | 17.4394i | 0.704221 | − | 0.590911i | ||||
\(872\) | 3.77188 | 0.127732 | ||||||||
\(873\) | −11.9362 | − | 13.0897i | −0.403980 | − | 0.443020i | ||||
\(874\) | 1.54853 | − | 2.68213i | 0.0523797 | − | 0.0907242i | ||||
\(875\) | 18.1451 | + | 15.3851i | 0.613415 | + | 0.520112i | ||||
\(876\) | 0.990230 | + | 1.35394i | 0.0334568 | + | 0.0457456i | ||||
\(877\) | 41.7115 | − | 15.1817i | 1.40850 | − | 0.512651i | 0.477808 | − | 0.878464i | \(-0.341432\pi\) |
0.930688 | + | 0.365814i | \(0.119209\pi\) | |||||||
\(878\) | −38.0180 | − | 31.9009i | −1.28304 | − | 1.07660i | ||||
\(879\) | −14.5789 | + | 33.0244i | −0.491735 | + | 1.11389i | ||||
\(880\) | −51.2103 | − | 18.6390i | −1.72630 | − | 0.628321i | ||||
\(881\) | −10.1994 | + | 17.6658i | −0.343625 | + | 0.595176i | −0.985103 | − | 0.171966i | \(-0.944988\pi\) |
0.641478 | + | 0.767141i | \(0.278322\pi\) | |||||||
\(882\) | −15.8133 | − | 39.5921i | −0.532461 | − | 1.33313i | ||||
\(883\) | −11.3979 | − | 19.7418i | −0.383571 | − | 0.664364i | 0.607999 | − | 0.793938i | \(-0.291972\pi\) |
−0.991570 | + | 0.129574i | \(0.958639\pi\) | |||||||
\(884\) | −5.07715 | − | 28.7940i | −0.170763 | − | 0.968446i | ||||
\(885\) | 34.7374 | + | 23.2718i | 1.16769 | + | 0.782273i | ||||
\(886\) | 8.48342 | − | 3.08771i | 0.285006 | − | 0.103734i | ||||
\(887\) | −6.02600 | − | 5.05642i | −0.202333 | − | 0.169778i | 0.535991 | − | 0.844224i | \(-0.319938\pi\) |
−0.738324 | + | 0.674446i | \(0.764383\pi\) | |||||||
\(888\) | 3.38636 | + | 0.832992i | 0.113639 | + | 0.0279534i | ||||
\(889\) | −10.4377 | + | 3.73838i | −0.350069 | + | 0.125381i | ||||
\(890\) | 34.5611 | 1.15849 | ||||||||
\(891\) | 13.1014 | + | 49.8618i | 0.438914 | + | 1.67043i | ||||
\(892\) | 6.15435 | − | 10.6596i | 0.206063 | − | 0.356911i | ||||
\(893\) | 1.55694 | + | 0.566681i | 0.0521011 | + | 0.0189633i | ||||
\(894\) | 7.95806 | + | 27.4267i | 0.266157 | + | 0.917285i | ||||
\(895\) | 28.9812 | − | 10.5483i | 0.968734 | − | 0.352590i | ||||
\(896\) | −5.21206 | − | 0.0267874i | −0.174123 | − | 0.000894903i | ||||
\(897\) | 0.902380 | − | 13.5164i | 0.0301296 | − | 0.451299i | ||||
\(898\) | −1.55222 | − | 8.80307i | −0.0517982 | − | 0.293762i | ||||
\(899\) | 4.72093 | 0.157452 | ||||||||
\(900\) | 8.24971 | + | 4.32000i | 0.274990 | + | 0.144000i | ||||
\(901\) | 29.7677 | 0.991707 | ||||||||
\(902\) | −98.5257 | + | 82.6729i | −3.28055 | + | 2.75271i | ||||
\(903\) | −27.8615 | − | 7.00556i | −0.927173 | − | 0.233130i | ||||
\(904\) | −0.742371 | + | 4.21020i | −0.0246909 | + | 0.140029i | ||||
\(905\) | −8.72364 | + | 3.17515i | −0.289984 | + | 0.105545i | ||||
\(906\) | 56.2255 | − | 6.08867i | 1.86797 | − | 0.202282i | ||||
\(907\) | −9.55243 | − | 54.1745i | −0.317183 | − | 1.79884i | −0.559707 | − | 0.828690i | \(-0.689086\pi\) |
0.242524 | − | 0.970145i | \(-0.422025\pi\) | |||||||
\(908\) | −53.5611 | −1.77749 | ||||||||
\(909\) | −6.29518 | − | 6.90354i | −0.208798 | − | 0.228976i | ||||
\(910\) | 6.55853 | + | 38.3467i | 0.217413 | + | 1.27118i | ||||
\(911\) | −19.5461 | − | 7.11419i | −0.647590 | − | 0.235704i | −0.00272069 | − | 0.999996i | \(-0.500866\pi\) |
−0.644869 | + | 0.764293i | \(0.723088\pi\) | |||||||
\(912\) | −0.239935 | + | 3.59388i | −0.00794503 | + | 0.119005i | ||||
\(913\) | 13.6739 | − | 4.97691i | 0.452541 | − | 0.164712i | ||||
\(914\) | 14.6492 | − | 83.0795i | 0.484551 | − | 2.74803i | ||||
\(915\) | 15.6221 | − | 16.2794i | 0.516449 | − | 0.538181i | ||||
\(916\) | 7.58371 | + | 43.0094i | 0.250573 | + | 1.42107i | ||||
\(917\) | 5.47497 | − | 4.54630i | 0.180800 | − | 0.150132i | ||||
\(918\) | 24.3818 | + | 44.8283i | 0.804720 | + | 1.47955i | ||||
\(919\) | −13.8544 | − | 23.9965i | −0.457014 | − | 0.791571i | 0.541788 | − | 0.840515i | \(-0.317748\pi\) |
−0.998802 | + | 0.0489442i | \(0.984414\pi\) | |||||||
\(920\) | 1.61794 | + | 0.588883i | 0.0533420 | + | 0.0194149i | ||||
\(921\) | 15.7007 | + | 54.1109i | 0.517355 | + | 1.78301i | ||||
\(922\) | 39.0426 | + | 32.7606i | 1.28580 | + | 1.07891i | ||||
\(923\) | 23.0531 | + | 19.3439i | 0.758802 | + | 0.636711i | ||||
\(924\) | −32.6442 | − | 45.1194i | −1.07392 | − | 1.48432i | ||||
\(925\) | −11.2209 | − | 4.08408i | −0.368941 | − | 0.134284i | ||||
\(926\) | −23.5634 | + | 40.8129i | −0.774340 | + | 1.34120i | ||||
\(927\) | 36.9824 | + | 4.96014i | 1.21466 | + | 0.162912i | ||||
\(928\) | −3.82133 | − | 6.61873i | −0.125441 | − | 0.217271i | ||||
\(929\) | 30.6315 | + | 11.1490i | 1.00499 | + | 0.365785i | 0.791506 | − | 0.611162i | \(-0.209298\pi\) |
0.213481 | + | 0.976947i | \(0.431520\pi\) | |||||||
\(930\) | 18.0428 | − | 40.8709i | 0.591648 | − | 1.34021i | ||||
\(931\) | 3.00540 | − | 2.46963i | 0.0984979 | − | 0.0809390i | ||||
\(932\) | 10.6540 | − | 60.4217i | 0.348983 | − | 1.97918i | ||||
\(933\) | −10.9179 | + | 1.18230i | −0.357436 | + | 0.0387069i | ||||
\(934\) | 2.41235 | + | 13.6811i | 0.0789344 | + | 0.447659i | ||||
\(935\) | −35.2232 | − | 61.0084i | −1.15192 | − | 1.99519i | ||||
\(936\) | −0.802187 | − | 1.95002i | −0.0262203 | − | 0.0637384i | ||||
\(937\) | 14.2370 | + | 24.6593i | 0.465104 | + | 0.805583i | 0.999206 | − | 0.0398364i | \(-0.0126837\pi\) |
−0.534102 | + | 0.845420i | \(0.679350\pi\) | |||||||
\(938\) | 9.14103 | − | 50.3274i | 0.298465 | − | 1.64325i | ||||
\(939\) | −42.2383 | + | 20.7659i | −1.37839 | + | 0.677671i | ||||
\(940\) | −2.79244 | + | 15.8367i | −0.0910794 | + | 0.516537i | ||||
\(941\) | −6.88134 | + | 39.0260i | −0.224325 | + | 1.27221i | 0.639645 | + | 0.768670i | \(0.279081\pi\) |
−0.863971 | + | 0.503542i | \(0.832030\pi\) | |||||||
\(942\) | −5.51267 | − | 18.9989i | −0.179613 | − | 0.619017i | ||||
\(943\) | −23.2581 | + | 19.5159i | −0.757389 | + | 0.635525i | ||||
\(944\) | −35.5342 | −1.15654 | ||||||||
\(945\) | −16.5411 | − | 30.7884i | −0.538083 | − | 1.00155i | ||||
\(946\) | −72.9052 | −2.37035 | ||||||||
\(947\) | 5.14758 | − | 4.31933i | 0.167274 | − | 0.140359i | −0.555308 | − | 0.831645i | \(-0.687400\pi\) |
0.722582 | + | 0.691285i | \(0.242955\pi\) | |||||||
\(948\) | −11.7666 | − | 2.89441i | −0.382162 | − | 0.0940061i | ||||
\(949\) | −0.225835 | + | 1.28078i | −0.00733092 | + | 0.0415757i | ||||
\(950\) | −0.286638 | + | 1.62560i | −0.00929976 | + | 0.0527415i | ||||
\(951\) | −5.60800 | − | 3.75700i | −0.181852 | − | 0.121829i | ||||
\(952\) | −2.40831 | − | 2.04200i | −0.0780539 | − | 0.0661815i | ||||
\(953\) | 6.10269 | + | 10.5702i | 0.197685 | + | 0.342401i | 0.947778 | − | 0.318932i | \(-0.103324\pi\) |
−0.750092 | + | 0.661333i | \(0.769991\pi\) | |||||||
\(954\) | 36.6096 | − | 8.02302i | 1.18528 | − | 0.259755i | ||||
\(955\) | 2.09440 | + | 3.62761i | 0.0677732 | + | 0.117387i | ||||
\(956\) | 5.10867 | + | 28.9727i | 0.165226 | + | 0.937044i | ||||
\(957\) | 3.78506 | − | 8.57397i | 0.122354 | − | 0.277157i | ||||
\(958\) | 2.90495 | − | 16.4748i | 0.0938548 | − | 0.532277i | ||||
\(959\) | 3.05783 | − | 5.23402i | 0.0987426 | − | 0.169015i | ||||
\(960\) | −39.1408 | + | 4.23856i | −1.26326 | + | 0.136799i | ||||
\(961\) | 5.66023 | + | 2.06015i | 0.182588 | + | 0.0664566i | ||||
\(962\) | 23.6014 | + | 40.8789i | 0.760940 | + | 1.31799i | ||||
\(963\) | 18.8993 | − | 11.9758i | 0.609020 | − | 0.385914i | ||||
\(964\) | −8.59620 | + | 14.8891i | −0.276865 | + | 0.479544i | ||||
\(965\) | 18.0076 | + | 6.55425i | 0.579687 | + | 0.210989i | ||||
\(966\) | −14.9707 | − | 20.6918i | −0.481674 | − | 0.665749i | ||||
\(967\) | −7.93227 | − | 6.65596i | −0.255084 | − | 0.214041i | 0.506274 | − | 0.862373i | \(-0.331023\pi\) |
−0.761358 | + | 0.648332i | \(0.775467\pi\) | |||||||
\(968\) | −4.12237 | − | 3.45908i | −0.132498 | − | 0.111179i | ||||
\(969\) | −3.22380 | + | 3.35945i | −0.103563 | + | 0.107921i | ||||
\(970\) | 28.6386 | + | 10.4236i | 0.919531 | + | 0.334682i | ||||
\(971\) | −18.0985 | − | 31.3475i | −0.580808 | − | 1.00599i | −0.995384 | − | 0.0959748i | \(-0.969403\pi\) |
0.414575 | − | 0.910015i | \(-0.363930\pi\) | |||||||
\(972\) | 21.6542 | + | 24.9961i | 0.694557 | + | 0.801750i | ||||
\(973\) | 0.951954 | + | 5.56593i | 0.0305183 | + | 0.178435i | ||||
\(974\) | −13.1471 | − | 74.5607i | −0.421259 | − | 2.38908i | ||||
\(975\) | 2.01197 | + | 6.93406i | 0.0644347 | + | 0.222068i | ||||
\(976\) | −3.32967 | + | 18.8835i | −0.106580 | + | 0.604446i | ||||
\(977\) | −39.0034 | + | 14.1961i | −1.24783 | + | 0.454173i | −0.879668 | − | 0.475589i | \(-0.842235\pi\) |
−0.368162 | + | 0.929762i | \(0.620013\pi\) | |||||||
\(978\) | 2.28930 | − | 1.12551i | 0.0732038 | − | 0.0359898i | ||||
\(979\) | −36.0450 | − | 13.1193i | −1.15200 | − | 0.419295i | ||||
\(980\) | 28.6706 | + | 24.5641i | 0.915848 | + | 0.784670i | ||||
\(981\) | −40.6330 | − | 21.2777i | −1.29731 | − | 0.679344i | ||||
\(982\) | −9.46086 | −0.301908 | ||||||||
\(983\) | −3.31834 | − | 18.8192i | −0.105838 | − | 0.600240i | −0.990882 | − | 0.134732i | \(-0.956983\pi\) |
0.885044 | − | 0.465508i | \(-0.154128\pi\) | |||||||
\(984\) | −1.90858 | + | 4.32335i | −0.0608434 | + | 0.137823i | ||||
\(985\) | −18.8205 | + | 6.85012i | −0.599672 | + | 0.218263i | ||||
\(986\) | 1.61092 | − | 9.13600i | 0.0513023 | − | 0.290950i | ||||
\(987\) | 9.51082 | − | 9.80961i | 0.302733 | − | 0.312243i | ||||
\(988\) | 2.57296 | − | 2.15897i | 0.0818567 | − | 0.0686859i | ||||
\(989\) | −17.2101 | −0.547250 | ||||||||
\(990\) | −59.7621 | − | 65.5374i | −1.89936 | − | 2.08292i | ||||
\(991\) | 29.3668 | 0.932868 | 0.466434 | − | 0.884556i | \(-0.345539\pi\) | ||||
0.466434 | + | 0.884556i | \(0.345539\pi\) | |||||||
\(992\) | 7.02132 | + | 39.8199i | 0.222927 | + | 1.26428i | ||||
\(993\) | 40.1661 | + | 26.9087i | 1.27463 | + | 0.853921i | ||||
\(994\) | 56.7360 | + | 0.291594i | 1.79956 | + | 0.00924881i | ||||
\(995\) | −2.35897 | + | 0.858594i | −0.0747843 | + | 0.0272193i | ||||
\(996\) | 6.46313 | − | 6.73510i | 0.204792 | − | 0.213410i | ||||
\(997\) | −33.7574 | − | 12.2867i | −1.06911 | − | 0.389124i | −0.253265 | − | 0.967397i | \(-0.581505\pi\) |
−0.815843 | + | 0.578273i | \(0.803727\pi\) | |||||||
\(998\) | −2.25194 | + | 3.90048i | −0.0712840 | + | 0.123467i | ||||
\(999\) | −31.7809 | − | 28.0764i | −1.00550 | − | 0.888299i |
(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 | 189.2.u.a.67.4 | ✓ | 132 | |
3.2 | odd | 2 | 567.2.u.a.172.19 | 132 | |||
7.2 | even | 3 | 189.2.w.a.121.19 | yes | 132 | ||
21.2 | odd | 6 | 567.2.w.a.415.4 | 132 | |||
27.2 | odd | 18 | 567.2.w.a.235.4 | 132 | |||
27.25 | even | 9 | 189.2.w.a.25.19 | yes | 132 | ||
189.2 | odd | 18 | 567.2.u.a.478.19 | 132 | |||
189.79 | even | 9 | inner | 189.2.u.a.79.4 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.u.a.67.4 | ✓ | 132 | 1.1 | even | 1 | trivial | |
189.2.u.a.79.4 | yes | 132 | 189.79 | even | 9 | inner | |
189.2.w.a.25.19 | yes | 132 | 27.25 | even | 9 | ||
189.2.w.a.121.19 | yes | 132 | 7.2 | even | 3 | ||
567.2.u.a.172.19 | 132 | 3.2 | odd | 2 | |||
567.2.u.a.478.19 | 132 | 189.2 | odd | 18 | |||
567.2.w.a.235.4 | 132 | 27.2 | odd | 18 | |||
567.2.w.a.415.4 | 132 | 21.2 | odd | 6 |