Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,2,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.550967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 7 x^{19} + 24 x^{18} - 70 x^{17} + 209 x^{16} - 527 x^{15} + 1115 x^{14} - 2187 x^{13} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 31.2 | ||
Root | \(0.480233 - 1.05156i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 69.31 |
Dual form | 69.2.e.c.49.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{3}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.319381 | − | 2.22134i | 0.225837 | − | 1.57073i | −0.489535 | − | 0.871984i | \(-0.662833\pi\) |
0.715372 | − | 0.698744i | \(-0.246257\pi\) | |||||||
\(3\) | 0.415415 | + | 0.909632i | 0.239840 | + | 0.525176i | ||||
\(4\) | −2.91338 | − | 0.855446i | −1.45669 | − | 0.427723i | ||||
\(5\) | −1.82263 | − | 2.10342i | −0.815104 | − | 0.940680i | 0.184004 | − | 0.982926i | \(-0.441094\pi\) |
−0.999107 | + | 0.0422457i | \(0.986549\pi\) | |||||||
\(6\) | 2.15328 | − | 0.632261i | 0.879074 | − | 0.258119i | ||||
\(7\) | 2.85304 | + | 1.83354i | 1.07835 | + | 0.693013i | 0.954175 | − | 0.299248i | \(-0.0967358\pi\) |
0.124173 | + | 0.992261i | \(0.460372\pi\) | |||||||
\(8\) | −0.966182 | + | 2.11564i | −0.341597 | + | 0.747993i | ||||
\(9\) | −0.654861 | + | 0.755750i | −0.218287 | + | 0.251917i | ||||
\(10\) | −5.25454 | + | 3.37689i | −1.66163 | + | 1.06787i | ||||
\(11\) | 0.730673 | + | 5.08195i | 0.220306 | + | 1.53226i | 0.736881 | + | 0.676022i | \(0.236298\pi\) |
−0.516575 | + | 0.856242i | \(0.672793\pi\) | |||||||
\(12\) | −0.432121 | − | 3.00547i | −0.124743 | − | 0.867605i | ||||
\(13\) | −1.83466 | + | 1.17906i | −0.508842 | + | 0.327013i | −0.769744 | − | 0.638352i | \(-0.779616\pi\) |
0.260902 | + | 0.965365i | \(0.415980\pi\) | |||||||
\(14\) | 4.98413 | − | 5.75199i | 1.33206 | − | 1.53728i | ||||
\(15\) | 1.15620 | − | 2.53171i | 0.298528 | − | 0.653686i | ||||
\(16\) | −0.717732 | − | 0.461258i | −0.179433 | − | 0.115315i | ||||
\(17\) | 2.48322 | − | 0.729141i | 0.602270 | − | 0.176843i | 0.0336377 | − | 0.999434i | \(-0.489291\pi\) |
0.568633 | + | 0.822592i | \(0.307473\pi\) | |||||||
\(18\) | 1.46963 | + | 1.69604i | 0.346395 | + | 0.399761i | ||||
\(19\) | −2.21869 | − | 0.651466i | −0.509003 | − | 0.149457i | 0.0171398 | − | 0.999853i | \(-0.494544\pi\) |
−0.526142 | + | 0.850396i | \(0.676362\pi\) | |||||||
\(20\) | 3.51064 | + | 7.68724i | 0.785004 | + | 1.71892i | ||||
\(21\) | −0.482649 | + | 3.35690i | −0.105323 | + | 0.732535i | ||||
\(22\) | 11.5221 | 2.45652 | ||||||||
\(23\) | −3.18567 | − | 3.58490i | −0.664259 | − | 0.747503i | ||||
\(24\) | −2.32582 | −0.474757 | ||||||||
\(25\) | −0.390848 | + | 2.71841i | −0.0781696 | + | 0.543682i | ||||
\(26\) | 2.03315 | + | 4.45197i | 0.398733 | + | 0.873104i | ||||
\(27\) | −0.959493 | − | 0.281733i | −0.184655 | − | 0.0542195i | ||||
\(28\) | −6.74351 | − | 7.78242i | −1.27440 | − | 1.47074i | ||||
\(29\) | −5.12647 | + | 1.50527i | −0.951961 | + | 0.279521i | −0.720603 | − | 0.693348i | \(-0.756135\pi\) |
−0.231358 | + | 0.972869i | \(0.574317\pi\) | |||||||
\(30\) | −5.25454 | − | 3.37689i | −0.959344 | − | 0.616533i | ||||
\(31\) | 3.71752 | − | 8.14024i | 0.667687 | − | 1.46203i | −0.207496 | − | 0.978236i | \(-0.566531\pi\) |
0.875182 | − | 0.483794i | \(-0.160741\pi\) | |||||||
\(32\) | −4.30002 | + | 4.96249i | −0.760144 | + | 0.877253i | ||||
\(33\) | −4.31917 | + | 2.77576i | −0.751871 | + | 0.483198i | ||||
\(34\) | −0.826577 | − | 5.74897i | −0.141757 | − | 0.985941i | ||||
\(35\) | −1.34332 | − | 9.34301i | −0.227063 | − | 1.57926i | ||||
\(36\) | 2.55436 | − | 1.64159i | 0.425727 | − | 0.273598i | ||||
\(37\) | −1.43712 | + | 1.65853i | −0.236262 | + | 0.272661i | −0.861482 | − | 0.507787i | \(-0.830464\pi\) |
0.625221 | + | 0.780448i | \(0.285009\pi\) | |||||||
\(38\) | −2.15574 | + | 4.72041i | −0.349707 | + | 0.765752i | ||||
\(39\) | −1.83466 | − | 1.17906i | −0.293780 | − | 0.188801i | ||||
\(40\) | 6.21109 | − | 1.82374i | 0.982059 | − | 0.288359i | ||||
\(41\) | −0.199985 | − | 0.230795i | −0.0312323 | − | 0.0360440i | 0.739918 | − | 0.672697i | \(-0.234864\pi\) |
−0.771151 | + | 0.636652i | \(0.780319\pi\) | |||||||
\(42\) | 7.30268 | + | 2.14426i | 1.12683 | + | 0.330866i | ||||
\(43\) | 3.81341 | + | 8.35019i | 0.581539 | + | 1.27339i | 0.940422 | + | 0.340010i | \(0.110430\pi\) |
−0.358883 | + | 0.933383i | \(0.616842\pi\) | |||||||
\(44\) | 2.21860 | − | 15.4307i | 0.334467 | − | 2.32627i | ||||
\(45\) | 2.78323 | 0.414899 | ||||||||
\(46\) | −8.98074 | + | 5.93153i | −1.32414 | + | 0.874557i | ||||
\(47\) | −4.99153 | −0.728090 | −0.364045 | − | 0.931381i | \(-0.618605\pi\) | ||||
−0.364045 | + | 0.931381i | \(0.618605\pi\) | |||||||
\(48\) | 0.121419 | − | 0.844485i | 0.0175253 | − | 0.121891i | ||||
\(49\) | 1.87008 | + | 4.09490i | 0.267154 | + | 0.584986i | ||||
\(50\) | 5.91369 | + | 1.73642i | 0.836323 | + | 0.245567i | ||||
\(51\) | 1.69482 | + | 1.95592i | 0.237322 | + | 0.273884i | ||||
\(52\) | 6.35368 | − | 1.86561i | 0.881097 | − | 0.258713i | ||||
\(53\) | 6.89527 | + | 4.43132i | 0.947138 | + | 0.608689i | 0.920410 | − | 0.390954i | \(-0.127855\pi\) |
0.0267281 | + | 0.999643i | \(0.491491\pi\) | |||||||
\(54\) | −0.932269 | + | 2.04138i | −0.126866 | + | 0.277797i | ||||
\(55\) | 9.35774 | − | 10.7994i | 1.26180 | − | 1.45619i | ||||
\(56\) | −6.63567 | + | 4.26449i | −0.886729 | + | 0.569866i | ||||
\(57\) | −0.329083 | − | 2.28882i | −0.0435881 | − | 0.303162i | ||||
\(58\) | 1.70642 | + | 11.8684i | 0.224064 | + | 1.55840i | ||||
\(59\) | 4.02428 | − | 2.58625i | 0.523917 | − | 0.336701i | −0.251803 | − | 0.967779i | \(-0.581023\pi\) |
0.775720 | + | 0.631077i | \(0.217387\pi\) | |||||||
\(60\) | −5.53418 | + | 6.38679i | −0.714460 | + | 0.824531i | ||||
\(61\) | 2.43186 | − | 5.32504i | 0.311368 | − | 0.681801i | −0.687653 | − | 0.726040i | \(-0.741359\pi\) |
0.999021 | + | 0.0442383i | \(0.0140861\pi\) | |||||||
\(62\) | −16.8950 | − | 10.8577i | −2.14566 | − | 1.37893i | ||||
\(63\) | −3.25404 | + | 0.955473i | −0.409971 | + | 0.120378i | ||||
\(64\) | 8.53265 | + | 9.84720i | 1.06658 | + | 1.23090i | ||||
\(65\) | 5.82396 | + | 1.71007i | 0.722374 | + | 0.212108i | ||||
\(66\) | 4.78646 | + | 10.4809i | 0.589172 | + | 1.29011i | ||||
\(67\) | 0.130280 | − | 0.906118i | 0.0159162 | − | 0.110700i | −0.980315 | − | 0.197442i | \(-0.936737\pi\) |
0.996231 | + | 0.0867422i | \(0.0276456\pi\) | |||||||
\(68\) | −7.85832 | −0.952962 | ||||||||
\(69\) | 1.93756 | − | 4.38701i | 0.233255 | − | 0.528134i | ||||
\(70\) | −21.1831 | −2.53186 | ||||||||
\(71\) | 0.189238 | − | 1.31618i | 0.0224585 | − | 0.156202i | −0.975506 | − | 0.219972i | \(-0.929403\pi\) |
0.997965 | + | 0.0637701i | \(0.0203124\pi\) | |||||||
\(72\) | −0.966182 | − | 2.11564i | −0.113866 | − | 0.249331i | ||||
\(73\) | −9.77086 | − | 2.86898i | −1.14359 | − | 0.335789i | −0.345556 | − | 0.938398i | \(-0.612310\pi\) |
−0.798037 | + | 0.602609i | \(0.794128\pi\) | |||||||
\(74\) | 3.22518 | + | 3.72205i | 0.374919 | + | 0.432680i | ||||
\(75\) | −2.63512 | + | 0.773740i | −0.304277 | + | 0.0893438i | ||||
\(76\) | 5.90660 | + | 3.79594i | 0.677534 | + | 0.435424i | ||||
\(77\) | −7.23330 | + | 15.8387i | −0.824311 | + | 1.80499i | ||||
\(78\) | −3.20506 | + | 3.69883i | −0.362901 | + | 0.418811i | ||||
\(79\) | 11.9947 | − | 7.70851i | 1.34951 | − | 0.867275i | 0.351873 | − | 0.936048i | \(-0.385545\pi\) |
0.997632 | + | 0.0687729i | \(0.0219084\pi\) | |||||||
\(80\) | 0.337936 | + | 2.35040i | 0.0377824 | + | 0.262782i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | −0.576546 | + | 0.370523i | −0.0636688 | + | 0.0409175i | ||||
\(83\) | −1.75936 | + | 2.03041i | −0.193115 | + | 0.222866i | −0.844047 | − | 0.536270i | \(-0.819833\pi\) |
0.650932 | + | 0.759136i | \(0.274378\pi\) | |||||||
\(84\) | 4.27779 | − | 9.36705i | 0.466745 | − | 1.02203i | ||||
\(85\) | −6.05968 | − | 3.89432i | −0.657265 | − | 0.422399i | ||||
\(86\) | 19.7666 | − | 5.80399i | 2.13149 | − | 0.625861i | ||||
\(87\) | −3.49885 | − | 4.03789i | −0.375116 | − | 0.432907i | ||||
\(88\) | −11.4576 | − | 3.36424i | −1.22138 | − | 0.358629i | ||||
\(89\) | −0.324058 | − | 0.709587i | −0.0343500 | − | 0.0752161i | 0.891679 | − | 0.452668i | \(-0.149528\pi\) |
−0.926029 | + | 0.377452i | \(0.876800\pi\) | |||||||
\(90\) | 0.888911 | − | 6.18251i | 0.0936994 | − | 0.651694i | ||||
\(91\) | −7.39621 | −0.775333 | ||||||||
\(92\) | 6.21440 | + | 13.1693i | 0.647896 | + | 1.37300i | ||||
\(93\) | 8.94893 | 0.927961 | ||||||||
\(94\) | −1.59420 | + | 11.0879i | −0.164429 | + | 1.14363i | ||||
\(95\) | 2.67354 | + | 5.85423i | 0.274299 | + | 0.600631i | ||||
\(96\) | −6.30034 | − | 1.84995i | −0.643025 | − | 0.188809i | ||||
\(97\) | 2.43072 | + | 2.80520i | 0.246802 | + | 0.284825i | 0.865611 | − | 0.500717i | \(-0.166930\pi\) |
−0.618809 | + | 0.785541i | \(0.712385\pi\) | |||||||
\(98\) | 9.69346 | − | 2.84626i | 0.979187 | − | 0.287515i | ||||
\(99\) | −4.31917 | − | 2.77576i | −0.434093 | − | 0.278974i | ||||
\(100\) | 3.46414 | − | 7.58542i | 0.346414 | − | 0.758542i | ||||
\(101\) | 11.3700 | − | 13.1217i | 1.13136 | − | 1.30566i | 0.184928 | − | 0.982752i | \(-0.440795\pi\) |
0.946431 | − | 0.322906i | \(-0.104660\pi\) | |||||||
\(102\) | 4.88608 | − | 3.14009i | 0.483794 | − | 0.310915i | ||||
\(103\) | −0.733629 | − | 5.10250i | −0.0722867 | − | 0.502765i | −0.993511 | − | 0.113734i | \(-0.963719\pi\) |
0.921225 | − | 0.389031i | \(-0.127190\pi\) | |||||||
\(104\) | −0.721863 | − | 5.02067i | −0.0707845 | − | 0.492317i | ||||
\(105\) | 7.94067 | − | 5.10316i | 0.774930 | − | 0.498017i | ||||
\(106\) | 12.0457 | − | 13.9015i | 1.16998 | − | 1.35023i | ||||
\(107\) | −1.95225 | + | 4.27483i | −0.188731 | + | 0.413264i | −0.980218 | − | 0.197923i | \(-0.936580\pi\) |
0.791486 | + | 0.611187i | \(0.209308\pi\) | |||||||
\(108\) | 2.55436 | + | 1.64159i | 0.245794 | + | 0.157962i | ||||
\(109\) | −8.02562 | + | 2.35653i | −0.768715 | + | 0.225715i | −0.642498 | − | 0.766288i | \(-0.722102\pi\) |
−0.126217 | + | 0.992003i | \(0.540284\pi\) | |||||||
\(110\) | −21.0005 | − | 24.2359i | −2.00232 | − | 2.31080i | ||||
\(111\) | −2.10565 | − | 0.618276i | −0.199860 | − | 0.0586842i | ||||
\(112\) | −1.20198 | − | 2.63198i | −0.113577 | − | 0.248698i | ||||
\(113\) | −1.14304 | + | 7.95002i | −0.107528 | + | 0.747875i | 0.862706 | + | 0.505706i | \(0.168768\pi\) |
−0.970234 | + | 0.242169i | \(0.922141\pi\) | |||||||
\(114\) | −5.18936 | −0.486028 | ||||||||
\(115\) | −1.73426 | + | 13.2348i | −0.161721 | + | 1.23415i | ||||
\(116\) | 16.2230 | 1.50627 | ||||||||
\(117\) | 0.310369 | − | 2.15866i | 0.0286936 | − | 0.199568i | ||||
\(118\) | −4.45967 | − | 9.76532i | −0.410546 | − | 0.898971i | ||||
\(119\) | 8.42165 | + | 2.47282i | 0.772012 | + | 0.226683i | ||||
\(120\) | 4.23911 | + | 4.89219i | 0.386976 | + | 0.446594i | ||||
\(121\) | −14.7379 | + | 4.32743i | −1.33981 | + | 0.393402i | ||||
\(122\) | −11.0521 | − | 7.10273i | −1.00061 | − | 0.643051i | ||||
\(123\) | 0.126861 | − | 0.277788i | 0.0114387 | − | 0.0250473i | ||||
\(124\) | −17.7941 | + | 20.5355i | −1.59796 | + | 1.84414i | ||||
\(125\) | −5.27667 | + | 3.39111i | −0.471960 | + | 0.303310i | ||||
\(126\) | 1.08315 | + | 7.53351i | 0.0964951 | + | 0.671138i | ||||
\(127\) | 2.82649 | + | 19.6587i | 0.250810 | + | 1.74442i | 0.593371 | + | 0.804929i | \(0.297797\pi\) |
−0.342561 | + | 0.939496i | \(0.611294\pi\) | |||||||
\(128\) | 13.5513 | − | 8.70890i | 1.19778 | − | 0.769765i | ||||
\(129\) | −6.01146 | + | 6.93759i | −0.529279 | + | 0.610821i | ||||
\(130\) | 5.65872 | − | 12.3909i | 0.496302 | − | 1.08675i | ||||
\(131\) | 1.48347 | + | 0.953370i | 0.129612 | + | 0.0832963i | 0.603840 | − | 0.797106i | \(-0.293637\pi\) |
−0.474228 | + | 0.880402i | \(0.657273\pi\) | |||||||
\(132\) | 14.9579 | − | 4.39204i | 1.30192 | − | 0.382278i | ||||
\(133\) | −5.13553 | − | 5.92672i | −0.445307 | − | 0.513912i | ||||
\(134\) | −1.97119 | − | 0.578794i | −0.170285 | − | 0.0500002i | ||||
\(135\) | 1.15620 | + | 2.53171i | 0.0995094 | + | 0.217895i | ||||
\(136\) | −0.856646 | + | 5.95810i | −0.0734568 | + | 0.510903i | ||||
\(137\) | 1.37780 | 0.117713 | 0.0588565 | − | 0.998266i | \(-0.481255\pi\) | ||||
0.0588565 | + | 0.998266i | \(0.481255\pi\) | |||||||
\(138\) | −9.12624 | − | 5.70512i | −0.776877 | − | 0.485652i | ||||
\(139\) | −6.63501 | −0.562774 | −0.281387 | − | 0.959594i | \(-0.590795\pi\) | ||||
−0.281387 | + | 0.959594i | \(0.590795\pi\) | |||||||
\(140\) | −4.07883 | + | 28.3689i | −0.344724 | + | 2.39761i | ||||
\(141\) | −2.07356 | − | 4.54046i | −0.174625 | − | 0.382376i | ||||
\(142\) | −2.86326 | − | 0.840728i | −0.240279 | − | 0.0705523i | ||||
\(143\) | −7.33246 | − | 8.46211i | −0.613171 | − | 0.707638i | ||||
\(144\) | 0.818610 | − | 0.240366i | 0.0682175 | − | 0.0200305i | ||||
\(145\) | 12.5099 | + | 8.03960i | 1.03889 | + | 0.667652i | ||||
\(146\) | −9.49363 | + | 20.7882i | −0.785699 | + | 1.72044i | ||||
\(147\) | −2.94799 | + | 3.40217i | −0.243147 | + | 0.280606i | ||||
\(148\) | 5.60568 | − | 3.60255i | 0.460784 | − | 0.296128i | ||||
\(149\) | −1.00667 | − | 7.00155i | −0.0824697 | − | 0.573589i | −0.988597 | − | 0.150585i | \(-0.951884\pi\) |
0.906127 | − | 0.423005i | \(-0.139025\pi\) | |||||||
\(150\) | 0.877137 | + | 6.10062i | 0.0716179 | + | 0.498114i | ||||
\(151\) | 11.1978 | − | 7.19637i | 0.911261 | − | 0.585632i | 0.00115144 | − | 0.999999i | \(-0.499633\pi\) |
0.910110 | + | 0.414367i | \(0.135997\pi\) | |||||||
\(152\) | 3.52193 | − | 4.06452i | 0.285666 | − | 0.329676i | ||||
\(153\) | −1.07512 | + | 2.35418i | −0.0869182 | + | 0.190324i | ||||
\(154\) | 32.8731 | + | 21.1262i | 2.64899 | + | 1.70240i | ||||
\(155\) | −23.8980 | + | 7.01709i | −1.91954 | + | 0.563627i | ||||
\(156\) | 4.33643 | + | 5.00451i | 0.347192 | + | 0.400681i | ||||
\(157\) | −7.40115 | − | 2.17317i | −0.590676 | − | 0.173438i | −0.0272838 | − | 0.999628i | \(-0.508686\pi\) |
−0.563392 | + | 0.826190i | \(0.690504\pi\) | |||||||
\(158\) | −13.2924 | − | 29.1062i | −1.05748 | − | 2.31557i | ||||
\(159\) | −1.16647 | + | 8.11300i | −0.0925073 | + | 0.643403i | ||||
\(160\) | 18.2756 | 1.44481 | ||||||||
\(161\) | −2.51581 | − | 16.0689i | −0.198274 | − | 1.26641i | ||||
\(162\) | −2.24419 | −0.176320 | ||||||||
\(163\) | 2.87069 | − | 19.9661i | 0.224850 | − | 1.56386i | −0.494477 | − | 0.869191i | \(-0.664640\pi\) |
0.719327 | − | 0.694672i | \(-0.244451\pi\) | |||||||
\(164\) | 0.385199 | + | 0.843469i | 0.0300790 | + | 0.0658638i | ||||
\(165\) | 13.7108 | + | 4.02586i | 1.06739 | + | 0.313413i | ||||
\(166\) | 3.94833 | + | 4.55662i | 0.306450 | + | 0.353662i | ||||
\(167\) | 16.5069 | − | 4.84687i | 1.27734 | − | 0.375062i | 0.428421 | − | 0.903579i | \(-0.359070\pi\) |
0.848922 | + | 0.528517i | \(0.177252\pi\) | |||||||
\(168\) | −6.63567 | − | 4.26449i | −0.511953 | − | 0.329012i | ||||
\(169\) | −3.42462 | + | 7.49887i | −0.263432 | + | 0.576836i | ||||
\(170\) | −10.5860 | + | 12.2169i | −0.811908 | + | 0.936992i | ||||
\(171\) | 1.94528 | − | 1.25015i | 0.148759 | − | 0.0956017i | ||||
\(172\) | −3.96677 | − | 27.5895i | −0.302463 | − | 2.10368i | ||||
\(173\) | 1.20413 | + | 8.37491i | 0.0915483 | + | 0.636733i | 0.982998 | + | 0.183614i | \(0.0587796\pi\) |
−0.891450 | + | 0.453119i | \(0.850311\pi\) | |||||||
\(174\) | −10.0870 | + | 6.48253i | −0.764694 | + | 0.491439i | ||||
\(175\) | −6.09942 | + | 7.03910i | −0.461072 | + | 0.532106i | ||||
\(176\) | 1.81966 | − | 3.98450i | 0.137162 | − | 0.300343i | ||||
\(177\) | 4.02428 | + | 2.58625i | 0.302484 | + | 0.194394i | ||||
\(178\) | −1.67974 | + | 0.493215i | −0.125902 | + | 0.0369680i | ||||
\(179\) | 8.67361 | + | 10.0099i | 0.648296 | + | 0.748173i | 0.980819 | − | 0.194922i | \(-0.0624453\pi\) |
−0.332523 | + | 0.943095i | \(0.607900\pi\) | |||||||
\(180\) | −8.10861 | − | 2.38090i | −0.604380 | − | 0.177462i | ||||
\(181\) | −4.05011 | − | 8.86850i | −0.301042 | − | 0.659190i | 0.697298 | − | 0.716781i | \(-0.254385\pi\) |
−0.998340 | + | 0.0575910i | \(0.981658\pi\) | |||||||
\(182\) | −2.36221 | + | 16.4295i | −0.175099 | + | 1.21784i | ||||
\(183\) | 5.85406 | 0.432744 | ||||||||
\(184\) | 10.6623 | − | 3.27609i | 0.786036 | − | 0.241516i | ||||
\(185\) | 6.10793 | 0.449064 | ||||||||
\(186\) | 2.85812 | − | 19.8787i | 0.209568 | − | 1.45757i | ||||
\(187\) | 5.51988 | + | 12.0868i | 0.403654 | + | 0.883878i | ||||
\(188\) | 14.5422 | + | 4.26999i | 1.06060 | + | 0.311421i | ||||
\(189\) | −2.22091 | − | 2.56306i | −0.161547 | − | 0.186435i | ||||
\(190\) | 13.8581 | − | 4.06912i | 1.00537 | − | 0.295205i | ||||
\(191\) | 0.355419 | + | 0.228414i | 0.0257172 | + | 0.0165274i | 0.553436 | − | 0.832892i | \(-0.313316\pi\) |
−0.527719 | + | 0.849419i | \(0.676953\pi\) | |||||||
\(192\) | −5.41274 | + | 11.8522i | −0.390631 | + | 0.855362i | ||||
\(193\) | −5.11910 | + | 5.90775i | −0.368481 | + | 0.425249i | −0.909463 | − | 0.415784i | \(-0.863507\pi\) |
0.540983 | + | 0.841034i | \(0.318053\pi\) | |||||||
\(194\) | 7.00764 | − | 4.50354i | 0.503119 | − | 0.323335i | ||||
\(195\) | 0.863827 | + | 6.00805i | 0.0618600 | + | 0.430246i | ||||
\(196\) | −1.94529 | − | 13.5298i | −0.138949 | − | 0.966412i | ||||
\(197\) | 10.0653 | − | 6.46856i | 0.717122 | − | 0.460866i | −0.130513 | − | 0.991447i | \(-0.541662\pi\) |
0.847635 | + | 0.530580i | \(0.178026\pi\) | |||||||
\(198\) | −7.54538 | + | 8.70783i | −0.536227 | + | 0.618839i | ||||
\(199\) | −8.08632 | + | 17.7066i | −0.573224 | + | 1.25519i | 0.371839 | + | 0.928297i | \(0.378727\pi\) |
−0.945063 | + | 0.326888i | \(0.894000\pi\) | |||||||
\(200\) | −5.37356 | − | 3.45337i | −0.379968 | − | 0.244190i | ||||
\(201\) | 0.878354 | − | 0.257908i | 0.0619543 | − | 0.0181914i | ||||
\(202\) | −25.5164 | − | 29.4476i | −1.79533 | − | 2.07192i | ||||
\(203\) | −17.3860 | − | 5.10499i | −1.22026 | − | 0.358300i | ||||
\(204\) | −3.26447 | − | 7.14818i | −0.228558 | − | 0.500473i | ||||
\(205\) | −0.120961 | + | 0.841305i | −0.00844831 | + | 0.0587593i | ||||
\(206\) | −11.5687 | −0.806032 | ||||||||
\(207\) | 4.79546 | − | 0.0599637i | 0.333307 | − | 0.00416776i | ||||
\(208\) | 1.86064 | 0.129012 | ||||||||
\(209\) | 1.68958 | − | 11.7513i | 0.116871 | − | 0.812853i | ||||
\(210\) | −8.79977 | − | 19.2688i | −0.607242 | − | 1.32967i | ||||
\(211\) | −6.80564 | − | 1.99832i | −0.468520 | − | 0.137570i | 0.0389468 | − | 0.999241i | \(-0.487600\pi\) |
−0.507466 | + | 0.861671i | \(0.669418\pi\) | |||||||
\(212\) | −16.2978 | − | 18.8087i | −1.11934 | − | 1.29178i | ||||
\(213\) | 1.27585 | − | 0.374625i | 0.0874201 | − | 0.0256689i | ||||
\(214\) | 8.87237 | + | 5.70192i | 0.606503 | + | 0.389776i | ||||
\(215\) | 10.6136 | − | 23.2405i | 0.723840 | − | 1.58499i | ||||
\(216\) | 1.52309 | − | 1.75774i | 0.103633 | − | 0.119599i | ||||
\(217\) | 25.5317 | − | 16.4082i | 1.73320 | − | 1.11386i | ||||
\(218\) | 2.67144 | + | 18.5803i | 0.180933 | + | 1.25842i | ||||
\(219\) | −1.44924 | − | 10.0797i | −0.0979308 | − | 0.681124i | ||||
\(220\) | −36.5010 | + | 23.4578i | −2.46090 | + | 1.58152i | ||||
\(221\) | −3.69616 | + | 4.26560i | −0.248631 | + | 0.286935i | ||||
\(222\) | −2.04591 | + | 4.47992i | −0.137313 | + | 0.300673i | ||||
\(223\) | −6.29845 | − | 4.04777i | −0.421775 | − | 0.271059i | 0.312490 | − | 0.949921i | \(-0.398837\pi\) |
−0.734265 | + | 0.678862i | \(0.762473\pi\) | |||||||
\(224\) | −21.3671 | + | 6.27394i | −1.42765 | + | 0.419195i | ||||
\(225\) | −1.79849 | − | 2.07556i | −0.119899 | − | 0.138371i | ||||
\(226\) | 17.2947 | + | 5.07817i | 1.15042 | + | 0.337795i | ||||
\(227\) | 4.18710 | + | 9.16846i | 0.277907 | + | 0.608532i | 0.996189 | − | 0.0872202i | \(-0.0277984\pi\) |
−0.718282 | + | 0.695752i | \(0.755071\pi\) | |||||||
\(228\) | −0.999219 | + | 6.94972i | −0.0661749 | + | 0.460257i | ||||
\(229\) | −6.55615 | −0.433243 | −0.216621 | − | 0.976256i | \(-0.569504\pi\) | ||||
−0.216621 | + | 0.976256i | \(0.569504\pi\) | |||||||
\(230\) | 28.8451 | + | 8.07932i | 1.90199 | + | 0.532735i | ||||
\(231\) | −17.4122 | −1.14564 | ||||||||
\(232\) | 1.76849 | − | 12.3001i | 0.116107 | − | 0.807544i | ||||
\(233\) | 4.57862 | + | 10.0258i | 0.299955 | + | 0.656810i | 0.998258 | − | 0.0589919i | \(-0.0187886\pi\) |
−0.698303 | + | 0.715802i | \(0.746061\pi\) | |||||||
\(234\) | −4.69601 | − | 1.37887i | −0.306988 | − | 0.0901397i | ||||
\(235\) | 9.09770 | + | 10.4993i | 0.593469 | + | 0.684900i | ||||
\(236\) | −13.9367 | + | 4.09218i | −0.907200 | + | 0.266378i | ||||
\(237\) | 11.9947 | + | 7.70851i | 0.779138 | + | 0.500721i | ||||
\(238\) | 8.18270 | − | 17.9176i | 0.530406 | − | 1.16143i | ||||
\(239\) | −4.27004 | + | 4.92789i | −0.276206 | + | 0.318759i | −0.876856 | − | 0.480753i | \(-0.840363\pi\) |
0.600650 | + | 0.799512i | \(0.294909\pi\) | |||||||
\(240\) | −1.99761 | + | 1.28379i | −0.128945 | + | 0.0828681i | ||||
\(241\) | −1.00354 | − | 6.97979i | −0.0646439 | − | 0.449608i | −0.996277 | − | 0.0862082i | \(-0.972525\pi\) |
0.931633 | − | 0.363400i | \(-0.118384\pi\) | |||||||
\(242\) | 4.90571 | + | 34.1200i | 0.315351 | + | 2.19331i | ||||
\(243\) | 0.841254 | − | 0.540641i | 0.0539664 | − | 0.0346821i | ||||
\(244\) | −11.6402 | + | 13.4335i | −0.745190 | + | 0.859995i | ||||
\(245\) | 5.20486 | − | 11.3970i | 0.332526 | − | 0.728131i | ||||
\(246\) | −0.576546 | − | 0.370523i | −0.0367592 | − | 0.0236237i | ||||
\(247\) | 4.83866 | − | 1.42076i | 0.307876 | − | 0.0904006i | ||||
\(248\) | 13.6300 | + | 15.7299i | 0.865508 | + | 0.998850i | ||||
\(249\) | −2.57779 | − | 0.756907i | −0.163361 | − | 0.0479670i | ||||
\(250\) | 5.84755 | + | 12.8044i | 0.369832 | + | 0.809818i | ||||
\(251\) | 0.305255 | − | 2.12310i | 0.0192675 | − | 0.134009i | −0.977917 | − | 0.208993i | \(-0.932982\pi\) |
0.997185 | + | 0.0749841i | \(0.0238906\pi\) | |||||||
\(252\) | 10.2976 | 0.648689 | ||||||||
\(253\) | 15.8906 | − | 18.8088i | 0.999031 | − | 1.18250i | ||||
\(254\) | 44.5714 | 2.79666 | ||||||||
\(255\) | 1.02512 | − | 7.12984i | 0.0641953 | − | 0.446488i | ||||
\(256\) | −4.19196 | − | 9.17911i | −0.261997 | − | 0.573694i | ||||
\(257\) | 17.1552 | + | 5.03722i | 1.07011 | + | 0.314213i | 0.768916 | − | 0.639350i | \(-0.220796\pi\) |
0.301195 | + | 0.953563i | \(0.402615\pi\) | |||||||
\(258\) | 13.4908 | + | 15.5693i | 0.839903 | + | 0.969300i | ||||
\(259\) | −7.14116 | + | 2.09683i | −0.443730 | + | 0.130291i | ||||
\(260\) | −15.5046 | − | 9.96417i | −0.961552 | − | 0.617952i | ||||
\(261\) | 2.21952 | − | 4.86007i | 0.137385 | − | 0.300831i | ||||
\(262\) | 2.59156 | − | 2.99081i | 0.160107 | − | 0.184773i | ||||
\(263\) | −8.37359 | + | 5.38138i | −0.516338 | + | 0.331830i | −0.772722 | − | 0.634745i | \(-0.781105\pi\) |
0.256384 | + | 0.966575i | \(0.417469\pi\) | |||||||
\(264\) | −1.69942 | − | 11.8197i | −0.104592 | − | 0.727453i | ||||
\(265\) | −3.24656 | − | 22.5803i | −0.199435 | − | 1.38710i | ||||
\(266\) | −14.8055 | + | 9.51490i | −0.907782 | + | 0.583396i | ||||
\(267\) | 0.510845 | − | 0.589547i | 0.0312632 | − | 0.0360797i | ||||
\(268\) | −1.15469 | + | 2.52842i | −0.0705340 | + | 0.154448i | ||||
\(269\) | −13.2553 | − | 8.51867i | −0.808190 | − | 0.519392i | 0.0700887 | − | 0.997541i | \(-0.477672\pi\) |
−0.878279 | + | 0.478148i | \(0.841308\pi\) | |||||||
\(270\) | 5.99308 | − | 1.75973i | 0.364727 | − | 0.107094i | ||||
\(271\) | 20.1886 | + | 23.2989i | 1.22637 | + | 1.41531i | 0.878484 | + | 0.477772i | \(0.158556\pi\) |
0.347888 | + | 0.937536i | \(0.386899\pi\) | |||||||
\(272\) | −2.11861 | − | 0.622080i | −0.128460 | − | 0.0377192i | ||||
\(273\) | −3.07250 | − | 6.72783i | −0.185956 | − | 0.407187i | ||||
\(274\) | 0.440042 | − | 3.06056i | 0.0265839 | − | 0.184895i | ||||
\(275\) | −14.1004 | −0.850285 | ||||||||
\(276\) | −9.39770 | + | 11.1236i | −0.565675 | + | 0.669560i | ||||
\(277\) | −14.5169 | −0.872236 | −0.436118 | − | 0.899889i | \(-0.643647\pi\) | ||||
−0.436118 | + | 0.899889i | \(0.643647\pi\) | |||||||
\(278\) | −2.11910 | + | 14.7387i | −0.127095 | + | 0.883966i | ||||
\(279\) | 3.71752 | + | 8.14024i | 0.222562 | + | 0.487343i | ||||
\(280\) | 21.0644 | + | 6.18506i | 1.25884 | + | 0.369628i | ||||
\(281\) | −11.6124 | − | 13.4014i | −0.692739 | − | 0.799463i | 0.295014 | − | 0.955493i | \(-0.404676\pi\) |
−0.987752 | + | 0.156030i | \(0.950130\pi\) | |||||||
\(282\) | −10.7482 | + | 3.15595i | −0.640045 | + | 0.187934i | ||||
\(283\) | −4.67485 | − | 3.00434i | −0.277891 | − | 0.178590i | 0.394270 | − | 0.918995i | \(-0.370997\pi\) |
−0.672161 | + | 0.740405i | \(0.734634\pi\) | |||||||
\(284\) | −1.67725 | + | 3.67266i | −0.0995263 | + | 0.217932i | ||||
\(285\) | −4.21457 | + | 4.86387i | −0.249649 | + | 0.288111i | ||||
\(286\) | −21.1391 | + | 13.5853i | −1.24998 | + | 0.803315i | ||||
\(287\) | −0.147394 | − | 1.02515i | −0.00870038 | − | 0.0605125i | ||||
\(288\) | −0.934485 | − | 6.49948i | −0.0550650 | − | 0.382986i | ||||
\(289\) | −8.66655 | + | 5.56965i | −0.509797 | + | 0.327627i | ||||
\(290\) | 21.8541 | − | 25.2210i | 1.28332 | − | 1.48103i | ||||
\(291\) | −1.54194 | + | 3.37638i | −0.0903902 | + | 0.197927i | ||||
\(292\) | 26.0120 | + | 16.7169i | 1.52224 | + | 0.978282i | ||||
\(293\) | −3.51241 | + | 1.03134i | −0.205197 | + | 0.0602513i | −0.382716 | − | 0.923866i | \(-0.625011\pi\) |
0.177519 | + | 0.984117i | \(0.443193\pi\) | |||||||
\(294\) | 6.61585 | + | 7.63510i | 0.385844 | + | 0.445288i | ||||
\(295\) | −12.7748 | − | 3.75101i | −0.743775 | − | 0.218392i | ||||
\(296\) | −2.12033 | − | 4.64289i | −0.123242 | − | 0.269862i | ||||
\(297\) | 0.730673 | − | 5.08195i | 0.0423980 | − | 0.294884i | ||||
\(298\) | −15.8744 | −0.919578 | ||||||||
\(299\) | 10.0714 | + | 2.82095i | 0.582446 | + | 0.163140i | ||||
\(300\) | 8.33899 | 0.481452 | ||||||||
\(301\) | −4.43060 | + | 30.8155i | −0.255375 | + | 1.77617i | ||||
\(302\) | −12.4093 | − | 27.1725i | −0.714072 | − | 1.56360i | ||||
\(303\) | 16.6592 | + | 4.89158i | 0.957046 | + | 0.281014i | ||||
\(304\) | 1.29193 | + | 1.49097i | 0.0740973 | + | 0.0855128i | ||||
\(305\) | −15.6332 | + | 4.59032i | −0.895154 | + | 0.262841i | ||||
\(306\) | 4.88608 | + | 3.14009i | 0.279318 | + | 0.179507i | ||||
\(307\) | −9.99470 | + | 21.8853i | −0.570427 | + | 1.24906i | 0.376142 | + | 0.926562i | \(0.377250\pi\) |
−0.946570 | + | 0.322500i | \(0.895477\pi\) | |||||||
\(308\) | 34.6225 | − | 39.9565i | 1.97280 | − | 2.27674i | ||||
\(309\) | 4.33664 | − | 2.78699i | 0.246703 | − | 0.158546i | ||||
\(310\) | 7.95480 | + | 55.3269i | 0.451803 | + | 3.14236i | ||||
\(311\) | −0.538720 | − | 3.74688i | −0.0305480 | − | 0.212466i | 0.968830 | − | 0.247726i | \(-0.0796832\pi\) |
−0.999378 | + | 0.0352598i | \(0.988774\pi\) | |||||||
\(312\) | 4.26709 | − | 2.74229i | 0.241576 | − | 0.155252i | ||||
\(313\) | −5.37205 | + | 6.19968i | −0.303646 | + | 0.350427i | −0.886982 | − | 0.461805i | \(-0.847202\pi\) |
0.583335 | + | 0.812232i | \(0.301747\pi\) | |||||||
\(314\) | −7.19115 | + | 15.7464i | −0.405820 | + | 0.888623i | ||||
\(315\) | 7.94067 | + | 5.10316i | 0.447406 | + | 0.287530i | ||||
\(316\) | −41.5393 | + | 12.1970i | −2.33677 | + | 0.686137i | ||||
\(317\) | −1.65689 | − | 1.91215i | −0.0930602 | − | 0.107397i | 0.707309 | − | 0.706904i | \(-0.249909\pi\) |
−0.800370 | + | 0.599507i | \(0.795363\pi\) | |||||||
\(318\) | 17.6492 | + | 5.18228i | 0.989719 | + | 0.290608i | ||||
\(319\) | −11.3955 | − | 24.9526i | −0.638023 | − | 1.39708i | ||||
\(320\) | 5.16100 | − | 35.8956i | 0.288509 | − | 2.00662i | ||||
\(321\) | −4.69952 | −0.262302 | ||||||||
\(322\) | −36.4981 | + | 0.456382i | −2.03396 | + | 0.0254332i | ||||
\(323\) | −5.98452 | −0.332988 | ||||||||
\(324\) | −0.432121 | + | 3.00547i | −0.0240067 | + | 0.166971i | ||||
\(325\) | −2.48810 | − | 5.44818i | −0.138015 | − | 0.302211i | ||||
\(326\) | −43.4347 | − | 12.7536i | −2.40562 | − | 0.706355i | ||||
\(327\) | −5.47754 | − | 6.32142i | −0.302909 | − | 0.349575i | ||||
\(328\) | 0.681501 | − | 0.200107i | 0.0376296 | − | 0.0110490i | ||||
\(329\) | −14.2411 | − | 9.15217i | −0.785135 | − | 0.504575i | ||||
\(330\) | 13.3218 | − | 29.1707i | 0.733342 | − | 1.60579i | ||||
\(331\) | 20.8589 | − | 24.0725i | 1.14651 | − | 1.32314i | 0.207904 | − | 0.978149i | \(-0.433336\pi\) |
0.938605 | − | 0.344993i | \(-0.112119\pi\) | |||||||
\(332\) | 6.86259 | − | 4.41032i | 0.376633 | − | 0.242048i | ||||
\(333\) | −0.312317 | − | 2.17221i | −0.0171149 | − | 0.119036i | ||||
\(334\) | −5.49457 | − | 38.2155i | −0.300649 | − | 2.09106i | ||||
\(335\) | −2.14340 | + | 1.37748i | −0.117107 | + | 0.0752598i | ||||
\(336\) | 1.89481 | − | 2.18673i | 0.103370 | − | 0.119296i | ||||
\(337\) | 7.04540 | − | 15.4273i | 0.383787 | − | 0.840377i | −0.614873 | − | 0.788626i | \(-0.710793\pi\) |
0.998660 | − | 0.0517509i | \(-0.0164802\pi\) | |||||||
\(338\) | 15.5638 | + | 10.0023i | 0.846560 | + | 0.544051i | ||||
\(339\) | −7.70643 | + | 2.26281i | −0.418556 | + | 0.122899i | ||||
\(340\) | 14.3228 | + | 16.5294i | 0.776763 | + | 0.896432i | ||||
\(341\) | 44.0845 | + | 12.9444i | 2.38731 | + | 0.700978i | ||||
\(342\) | −2.15574 | − | 4.72041i | −0.116569 | − | 0.255251i | ||||
\(343\) | 1.20580 | − | 8.38650i | 0.0651069 | − | 0.452828i | ||||
\(344\) | −21.3505 | −1.15114 | ||||||||
\(345\) | −12.7592 | + | 3.92038i | −0.686932 | + | 0.211066i | ||||
\(346\) | 18.9881 | 1.02081 | ||||||||
\(347\) | −1.32556 | + | 9.21946i | −0.0711597 | + | 0.494926i | 0.922809 | + | 0.385259i | \(0.125888\pi\) |
−0.993968 | + | 0.109668i | \(0.965021\pi\) | |||||||
\(348\) | 6.73929 | + | 14.7570i | 0.361264 | + | 0.791058i | ||||
\(349\) | 6.96469 | + | 2.04502i | 0.372811 | + | 0.109467i | 0.462770 | − | 0.886478i | \(-0.346855\pi\) |
−0.0899592 | + | 0.995945i | \(0.528674\pi\) | |||||||
\(350\) | 13.6882 | + | 15.7971i | 0.731667 | + | 0.844388i | ||||
\(351\) | 2.09252 | − | 0.614419i | 0.111690 | − | 0.0327953i | ||||
\(352\) | −28.3610 | − | 18.2265i | −1.51165 | − | 0.971477i | ||||
\(353\) | 12.7103 | − | 27.8317i | 0.676502 | − | 1.48133i | −0.189806 | − | 0.981822i | \(-0.560786\pi\) |
0.866308 | − | 0.499511i | \(-0.166487\pi\) | |||||||
\(354\) | 7.03023 | − | 8.11332i | 0.373653 | − | 0.431218i | ||||
\(355\) | −3.11340 | + | 2.00086i | −0.165242 | + | 0.106195i | ||||
\(356\) | 0.337090 | + | 2.34451i | 0.0178657 | + | 0.124259i | ||||
\(357\) | 1.24912 | + | 8.68785i | 0.0661107 | + | 0.459810i | ||||
\(358\) | 25.0056 | − | 16.0701i | 1.32159 | − | 0.849332i | ||||
\(359\) | 3.96146 | − | 4.57177i | 0.209078 | − | 0.241289i | −0.641519 | − | 0.767107i | \(-0.721695\pi\) |
0.850597 | + | 0.525819i | \(0.176241\pi\) | |||||||
\(360\) | −2.68911 | + | 5.88832i | −0.141728 | + | 0.310342i | ||||
\(361\) | −11.4856 | − | 7.38137i | −0.604507 | − | 0.388493i | ||||
\(362\) | −20.9935 | + | 6.16425i | −1.10339 | + | 0.323986i | ||||
\(363\) | −10.0587 | − | 11.6084i | −0.527945 | − | 0.609281i | ||||
\(364\) | 21.5480 | + | 6.32706i | 1.12942 | + | 0.331628i | ||||
\(365\) | 11.7739 | + | 25.7814i | 0.616277 | + | 1.34946i | ||||
\(366\) | 1.86968 | − | 13.0039i | 0.0977295 | − | 0.679724i | ||||
\(367\) | 12.5131 | 0.653178 | 0.326589 | − | 0.945166i | \(-0.394101\pi\) | ||||
0.326589 | + | 0.945166i | \(0.394101\pi\) | |||||||
\(368\) | 0.632896 | + | 4.04241i | 0.0329920 | + | 0.210725i | ||||
\(369\) | 0.305385 | 0.0158977 | ||||||||
\(370\) | 1.95076 | − | 13.5678i | 0.101415 | − | 0.705358i | ||||
\(371\) | 11.5475 | + | 25.2855i | 0.599516 | + | 1.31276i | ||||
\(372\) | −26.0717 | − | 7.65533i | −1.35175 | − | 0.396910i | ||||
\(373\) | 22.4198 | + | 25.8738i | 1.16085 | + | 1.33970i | 0.930371 | + | 0.366619i | \(0.119485\pi\) |
0.230482 | + | 0.973077i | \(0.425970\pi\) | |||||||
\(374\) | 28.6120 | − | 8.40124i | 1.47949 | − | 0.434418i | ||||
\(375\) | −5.27667 | − | 3.39111i | −0.272486 | − | 0.175116i | ||||
\(376\) | 4.82273 | − | 10.5603i | 0.248713 | − | 0.544606i | ||||
\(377\) | 7.63050 | − | 8.80607i | 0.392991 | − | 0.453536i | ||||
\(378\) | −6.40276 | + | 4.11480i | −0.329322 | + | 0.211643i | ||||
\(379\) | −0.693079 | − | 4.82047i | −0.0356011 | − | 0.247611i | 0.964248 | − | 0.265003i | \(-0.0853728\pi\) |
−0.999849 | + | 0.0173918i | \(0.994464\pi\) | |||||||
\(380\) | −2.78106 | − | 19.3427i | −0.142665 | − | 0.992258i | ||||
\(381\) | −16.7080 | + | 10.7376i | −0.855976 | + | 0.550102i | ||||
\(382\) | 0.620900 | − | 0.716557i | 0.0317680 | − | 0.0366622i | ||||
\(383\) | −11.3510 | + | 24.8553i | −0.580011 | + | 1.27005i | 0.361282 | + | 0.932457i | \(0.382339\pi\) |
−0.941293 | + | 0.337591i | \(0.890388\pi\) | |||||||
\(384\) | 13.5513 | + | 8.70890i | 0.691538 | + | 0.444424i | ||||
\(385\) | 46.4992 | − | 13.6534i | 2.36982 | − | 0.695841i | ||||
\(386\) | 11.4882 | + | 13.2581i | 0.584735 | + | 0.674820i | ||||
\(387\) | −8.80791 | − | 2.58623i | −0.447731 | − | 0.131466i | ||||
\(388\) | −4.68192 | − | 10.2520i | −0.237688 | − | 0.520465i | ||||
\(389\) | −2.04620 | + | 14.2316i | −0.103746 | + | 0.721571i | 0.869854 | + | 0.493310i | \(0.164213\pi\) |
−0.973600 | + | 0.228261i | \(0.926696\pi\) | |||||||
\(390\) | 13.6218 | 0.689769 | ||||||||
\(391\) | −10.5246 | − | 6.57930i | −0.532254 | − | 0.332729i | ||||
\(392\) | −10.4702 | −0.528825 | ||||||||
\(393\) | −0.250959 | + | 1.74546i | −0.0126592 | + | 0.0880467i | ||||
\(394\) | −11.1542 | − | 24.4244i | −0.561943 | − | 1.23048i | ||||
\(395\) | −38.0761 | − | 11.1801i | −1.91582 | − | 0.562534i | ||||
\(396\) | 10.2089 | + | 11.7817i | 0.513015 | + | 0.592051i | ||||
\(397\) | −36.9854 | + | 10.8599i | −1.85624 | + | 0.545043i | −0.856671 | + | 0.515864i | \(0.827471\pi\) |
−0.999574 | + | 0.0291790i | \(0.990711\pi\) | |||||||
\(398\) | 36.7498 | + | 23.6177i | 1.84210 | + | 1.18385i | ||||
\(399\) | 3.25776 | − | 7.13349i | 0.163092 | − | 0.357121i | ||||
\(400\) | 1.53441 | − | 1.77081i | 0.0767206 | − | 0.0885403i | ||||
\(401\) | −25.0100 | + | 16.0730i | −1.24894 | + | 0.802646i | −0.986731 | − | 0.162364i | \(-0.948088\pi\) |
−0.262211 | + | 0.965011i | \(0.584452\pi\) | |||||||
\(402\) | −0.292373 | − | 2.03350i | −0.0145822 | − | 0.101422i | ||||
\(403\) | 2.77747 | + | 19.3177i | 0.138356 | + | 0.962285i | ||||
\(404\) | −44.3501 | + | 28.5021i | −2.20650 | + | 1.41803i | ||||
\(405\) | −1.82263 | + | 2.10342i | −0.0905671 | + | 0.104520i | ||||
\(406\) | −16.8927 | + | 36.9898i | −0.838371 | + | 1.83578i | ||||
\(407\) | −9.47863 | − | 6.09154i | −0.469838 | − | 0.301947i | ||||
\(408\) | −5.77554 | + | 1.69585i | −0.285932 | + | 0.0839572i | ||||
\(409\) | 12.4112 | + | 14.3233i | 0.613694 | + | 0.708241i | 0.974497 | − | 0.224401i | \(-0.0720427\pi\) |
−0.360803 | + | 0.932642i | \(0.617497\pi\) | |||||||
\(410\) | 1.83020 | + | 0.537394i | 0.0903869 | + | 0.0265400i | ||||
\(411\) | 0.572357 | + | 1.25329i | 0.0282323 | + | 0.0618201i | ||||
\(412\) | −2.22758 | + | 15.4931i | −0.109745 | + | 0.763292i | ||||
\(413\) | 16.2234 | 0.798303 | ||||||||
\(414\) | 1.39838 | − | 10.6715i | 0.0687266 | − | 0.524476i | ||||
\(415\) | 7.47746 | 0.367054 | ||||||||
\(416\) | 2.03798 | − | 14.1745i | 0.0999202 | − | 0.694960i | ||||
\(417\) | −2.75628 | − | 6.03542i | −0.134976 | − | 0.295556i | ||||
\(418\) | −25.5640 | − | 7.50627i | −1.25038 | − | 0.367144i | ||||
\(419\) | 12.9255 | + | 14.9168i | 0.631452 | + | 0.728734i | 0.977839 | − | 0.209357i | \(-0.0671372\pi\) |
−0.346388 | + | 0.938092i | \(0.612592\pi\) | |||||||
\(420\) | −27.4997 | + | 8.07464i | −1.34185 | + | 0.394002i | ||||
\(421\) | −29.0080 | − | 18.6423i | −1.41376 | − | 0.908569i | −0.413763 | − | 0.910385i | \(-0.635786\pi\) |
−0.999998 | + | 0.00181545i | \(0.999422\pi\) | |||||||
\(422\) | −6.61254 | + | 14.4795i | −0.321894 | + | 0.704849i | ||||
\(423\) | 3.26876 | − | 3.77235i | 0.158932 | − | 0.183418i | ||||
\(424\) | −16.0372 | + | 10.3065i | −0.778835 | + | 0.500527i | ||||
\(425\) | 1.01154 | + | 7.03540i | 0.0490668 | + | 0.341267i | ||||
\(426\) | −0.424687 | − | 2.95376i | −0.0205761 | − | 0.143110i | ||||
\(427\) | 16.7019 | − | 10.7336i | 0.808260 | − | 0.519437i | ||||
\(428\) | 9.34455 | − | 10.7842i | 0.451686 | − | 0.521273i | ||||
\(429\) | 4.65139 | − | 10.1851i | 0.224571 | − | 0.491743i | ||||
\(430\) | −48.2354 | − | 30.9990i | −2.32612 | − | 1.49490i | ||||
\(431\) | 34.8057 | − | 10.2199i | 1.67653 | − | 0.492274i | 0.701189 | − | 0.712975i | \(-0.252653\pi\) |
0.975341 | + | 0.220701i | \(0.0708347\pi\) | |||||||
\(432\) | 0.558707 | + | 0.644782i | 0.0268808 | + | 0.0310221i | ||||
\(433\) | 27.9111 | + | 8.19542i | 1.34132 | + | 0.393847i | 0.872140 | − | 0.489256i | \(-0.162732\pi\) |
0.469179 | + | 0.883103i | \(0.344550\pi\) | |||||||
\(434\) | −28.2940 | − | 61.9551i | −1.35815 | − | 2.97394i | ||||
\(435\) | −2.11629 | + | 14.7191i | −0.101468 | + | 0.705728i | ||||
\(436\) | 25.3976 | 1.21632 | ||||||||
\(437\) | 4.73259 | + | 10.0291i | 0.226390 | + | 0.479759i | ||||
\(438\) | −22.8534 | −1.09198 | ||||||||
\(439\) | 2.42033 | − | 16.8338i | 0.115516 | − | 0.803433i | −0.846880 | − | 0.531784i | \(-0.821522\pi\) |
0.962396 | − | 0.271649i | \(-0.0875690\pi\) | |||||||
\(440\) | 13.8064 | + | 30.2318i | 0.658195 | + | 1.44125i | ||||
\(441\) | −4.31936 | − | 1.26828i | −0.205684 | − | 0.0603942i | ||||
\(442\) | 8.29488 | + | 9.57280i | 0.394547 | + | 0.455332i | ||||
\(443\) | −14.8681 | + | 4.36568i | −0.706406 | + | 0.207420i | −0.615153 | − | 0.788408i | \(-0.710906\pi\) |
−0.0912538 | + | 0.995828i | \(0.529087\pi\) | |||||||
\(444\) | 5.60568 | + | 3.60255i | 0.266034 | + | 0.170969i | ||||
\(445\) | −0.901927 | + | 1.97494i | −0.0427554 | + | 0.0936213i | ||||
\(446\) | −11.0031 | + | 12.6982i | −0.521012 | + | 0.601279i | ||||
\(447\) | 5.95065 | − | 3.82425i | 0.281456 | − | 0.180881i | ||||
\(448\) | 6.28878 | + | 43.7394i | 0.297117 | + | 2.06649i | ||||
\(449\) | −2.20360 | − | 15.3264i | −0.103994 | − | 0.723297i | −0.973386 | − | 0.229173i | \(-0.926398\pi\) |
0.869391 | − | 0.494124i | \(-0.164511\pi\) | |||||||
\(450\) | −5.18494 | + | 3.33216i | −0.244421 | + | 0.157080i | ||||
\(451\) | 1.02676 | − | 1.18495i | 0.0483483 | − | 0.0557969i | ||||
\(452\) | 10.1309 | − | 22.1836i | 0.476519 | − | 1.04343i | ||||
\(453\) | 11.1978 | + | 7.19637i | 0.526117 | + | 0.338115i | ||||
\(454\) | 21.7036 | − | 6.37275i | 1.01860 | − | 0.299088i | ||||
\(455\) | 13.4805 | + | 15.5574i | 0.631977 | + | 0.729340i | ||||
\(456\) | 5.16028 | + | 1.51520i | 0.241652 | + | 0.0709556i | ||||
\(457\) | 16.6264 | + | 36.4067i | 0.777750 | + | 1.70303i | 0.708795 | + | 0.705414i | \(0.249239\pi\) |
0.0689546 | + | 0.997620i | \(0.478034\pi\) | |||||||
\(458\) | −2.09391 | + | 14.5635i | −0.0978420 | + | 0.680506i | ||||
\(459\) | −2.58806 | −0.120800 | ||||||||
\(460\) | 16.3742 | − | 37.0743i | 0.763450 | − | 1.72860i | ||||
\(461\) | 1.01619 | 0.0473287 | 0.0236644 | − | 0.999720i | \(-0.492467\pi\) | ||||
0.0236644 | + | 0.999720i | \(0.492467\pi\) | |||||||
\(462\) | −5.56114 | + | 38.6786i | −0.258728 | + | 1.79949i | ||||
\(463\) | −2.88771 | − | 6.32320i | −0.134203 | − | 0.293864i | 0.830585 | − | 0.556892i | \(-0.188006\pi\) |
−0.964788 | + | 0.263028i | \(0.915279\pi\) | |||||||
\(464\) | 4.37374 | + | 1.28425i | 0.203046 | + | 0.0596197i | ||||
\(465\) | −16.3106 | − | 18.8234i | −0.756385 | − | 0.872914i | ||||
\(466\) | 23.7330 | − | 6.96864i | 1.09941 | − | 0.322816i | ||||
\(467\) | 27.0573 | + | 17.3887i | 1.25206 | + | 0.804653i | 0.987178 | − | 0.159626i | \(-0.0510289\pi\) |
0.264887 | + | 0.964279i | \(0.414665\pi\) | |||||||
\(468\) | −2.75084 | + | 6.02351i | −0.127158 | + | 0.278437i | ||||
\(469\) | 2.03310 | − | 2.34632i | 0.0938797 | − | 0.108343i | ||||
\(470\) | 26.2282 | − | 16.8559i | 1.20982 | − | 0.777503i | ||||
\(471\) | −1.09776 | − | 7.63509i | −0.0505821 | − | 0.351806i | ||||
\(472\) | 1.58339 | + | 11.0127i | 0.0728816 | + | 0.506903i | ||||
\(473\) | −39.6489 | + | 25.4808i | −1.82306 | + | 1.17161i | ||||
\(474\) | 20.9541 | − | 24.1823i | 0.962455 | − | 1.11073i | ||||
\(475\) | 2.63812 | − | 5.77669i | 0.121045 | − | 0.265053i | ||||
\(476\) | −22.4201 | − | 14.4085i | −1.02762 | − | 0.660414i | ||||
\(477\) | −7.86441 | + | 2.30920i | −0.360087 | + | 0.105731i | ||||
\(478\) | 9.58278 | + | 11.0591i | 0.438306 | + | 0.505832i | ||||
\(479\) | −20.0120 | − | 5.87605i | −0.914371 | − | 0.268484i | −0.209491 | − | 0.977810i | \(-0.567181\pi\) |
−0.704880 | + | 0.709327i | \(0.748999\pi\) | |||||||
\(480\) | 7.59195 | + | 16.6240i | 0.346523 | + | 0.758780i | ||||
\(481\) | 0.681120 | − | 4.73729i | 0.0310564 | − | 0.216002i | ||||
\(482\) | −15.8250 | −0.720811 | ||||||||
\(483\) | 13.5717 | − | 8.96373i | 0.617533 | − | 0.407864i | ||||
\(484\) | 46.6389 | 2.11995 | ||||||||
\(485\) | 1.47023 | − | 10.2257i | 0.0667596 | − | 0.464323i | ||||
\(486\) | −0.932269 | − | 2.04138i | −0.0422886 | − | 0.0925991i | ||||
\(487\) | 8.04267 | + | 2.36154i | 0.364448 | + | 0.107012i | 0.458829 | − | 0.888525i | \(-0.348269\pi\) |
−0.0943810 | + | 0.995536i | \(0.530087\pi\) | |||||||
\(488\) | 8.91626 | + | 10.2899i | 0.403620 | + | 0.465803i | ||||
\(489\) | 19.3543 | − | 5.68293i | 0.875232 | − | 0.256991i | ||||
\(490\) | −23.6544 | − | 15.2018i | −1.06860 | − | 0.686747i | ||||
\(491\) | 11.2847 | − | 24.7101i | 0.509272 | − | 1.11515i | −0.464071 | − | 0.885798i | \(-0.653612\pi\) |
0.973343 | − | 0.229353i | \(-0.0736609\pi\) | |||||||
\(492\) | −0.607229 | + | 0.700779i | −0.0273760 | + | 0.0315936i | ||||
\(493\) | −11.6326 | + | 7.47583i | −0.523907 | + | 0.336695i | ||||
\(494\) | −1.61062 | − | 11.2021i | −0.0724651 | − | 0.504006i | ||||
\(495\) | 2.03363 | + | 14.1442i | 0.0914049 | + | 0.635735i | ||||
\(496\) | −6.42293 | + | 4.12777i | −0.288398 | + | 0.185342i | ||||
\(497\) | 2.95318 | − | 3.40815i | 0.132468 | − | 0.152876i | ||||
\(498\) | −2.50465 | + | 5.48441i | −0.112236 | + | 0.245762i | ||||
\(499\) | 22.3807 | + | 14.3832i | 1.00190 | + | 0.643881i | 0.935284 | − | 0.353897i | \(-0.115144\pi\) |
0.0666147 | + | 0.997779i | \(0.478780\pi\) | |||||||
\(500\) | 18.2739 | − | 5.36569i | 0.817232 | − | 0.239961i | ||||
\(501\) | 11.2661 | + | 13.0018i | 0.503332 | + | 0.580876i | ||||
\(502\) | −4.61864 | − | 1.35615i | −0.206140 | − | 0.0605281i | ||||
\(503\) | −3.39157 | − | 7.42650i | −0.151223 | − | 0.331131i | 0.818826 | − | 0.574042i | \(-0.194625\pi\) |
−0.970049 | + | 0.242910i | \(0.921898\pi\) | |||||||
\(504\) | 1.12256 | − | 7.80755i | 0.0500026 | − | 0.347776i | ||||
\(505\) | −48.3238 | −2.15038 | ||||||||
\(506\) | −36.7057 | − | 41.3056i | −1.63177 | − | 1.83626i | ||||
\(507\) | −8.24385 | −0.366122 | ||||||||
\(508\) | 8.58229 | − | 59.6911i | 0.380777 | − | 2.64836i | ||||
\(509\) | −16.1453 | − | 35.3532i | −0.715627 | − | 1.56700i | −0.819933 | − | 0.572459i | \(-0.805990\pi\) |
0.104306 | − | 0.994545i | \(-0.466738\pi\) | |||||||
\(510\) | −15.5104 | − | 4.55428i | −0.686814 | − | 0.201667i | ||||
\(511\) | −22.6163 | − | 26.1006i | −1.00049 | − | 1.15462i | ||||
\(512\) | 9.18314 | − | 2.69641i | 0.405841 | − | 0.119166i | ||||
\(513\) | 1.94528 | + | 1.25015i | 0.0858862 | + | 0.0551957i | ||||
\(514\) | 16.6684 | − | 36.4988i | 0.735213 | − | 1.60989i | ||||
\(515\) | −9.39560 | + | 10.8431i | −0.414020 | + | 0.477804i | ||||
\(516\) | 23.4484 | − | 15.0694i | 1.03226 | − | 0.663392i | ||||
\(517\) | −3.64718 | − | 25.3667i | −0.160403 | − | 1.11563i | ||||
\(518\) | 2.37704 | + | 16.5327i | 0.104441 | + | 0.726403i | ||||
\(519\) | −7.11787 | + | 4.57438i | −0.312440 | + | 0.200793i | ||||
\(520\) | −9.24491 | + | 10.6692i | −0.405416 | + | 0.467875i | ||||
\(521\) | −17.3993 | + | 38.0992i | −0.762278 | + | 1.66916i | −0.0193229 | + | 0.999813i | \(0.506151\pi\) |
−0.742955 | + | 0.669342i | \(0.766576\pi\) | |||||||
\(522\) | −10.0870 | − | 6.48253i | −0.441496 | − | 0.283733i | ||||
\(523\) | −10.1000 | + | 2.96564i | −0.441644 | + | 0.129678i | −0.494992 | − | 0.868898i | \(-0.664829\pi\) |
0.0533477 | + | 0.998576i | \(0.483011\pi\) | |||||||
\(524\) | −3.50637 | − | 4.04656i | −0.153176 | − | 0.176775i | ||||
\(525\) | −8.93678 | − | 2.62408i | −0.390033 | − | 0.114524i | ||||
\(526\) | 9.27954 | + | 20.3193i | 0.404607 | + | 0.885966i | ||||
\(527\) | 3.29606 | − | 22.9246i | 0.143579 | − | 0.998613i | ||||
\(528\) | 4.38034 | 0.190630 | ||||||||
\(529\) | −2.70297 | + | 22.8406i | −0.117520 | + | 0.993070i | ||||
\(530\) | −51.1956 | −2.22379 | ||||||||
\(531\) | −0.680788 | + | 4.73499i | −0.0295437 | + | 0.205481i | ||||
\(532\) | 9.89177 | + | 21.6600i | 0.428863 | + | 0.939078i | ||||
\(533\) | 0.639024 | + | 0.187634i | 0.0276792 | + | 0.00812735i | ||||
\(534\) | −1.14643 | − | 1.32305i | −0.0496110 | − | 0.0572541i | ||||
\(535\) | 12.5500 | − | 3.68502i | 0.542584 | − | 0.159317i | ||||
\(536\) | 1.79115 | + | 1.15110i | 0.0773658 | + | 0.0497200i | ||||
\(537\) | −5.50216 | + | 12.0480i | −0.237436 | + | 0.519912i | ||||
\(538\) | −23.1564 | + | 26.7239i | −0.998343 | + | 1.15215i | ||||
\(539\) | −19.4437 | + | 12.4957i | −0.837497 | + | 0.538227i | ||||
\(540\) | −1.20269 | − | 8.36491i | −0.0517557 | − | 0.359969i | ||||
\(541\) | −2.44706 | − | 17.0197i | −0.105208 | − | 0.731734i | −0.972325 | − | 0.233631i | \(-0.924939\pi\) |
0.867118 | − | 0.498103i | \(-0.165970\pi\) | |||||||
\(542\) | 58.2028 | − | 37.4047i | 2.50002 | − | 1.60667i | ||||
\(543\) | 6.38459 | − | 7.36821i | 0.273989 | − | 0.316200i | ||||
\(544\) | −7.05957 | + | 15.4583i | −0.302677 | + | 0.662769i | ||||
\(545\) | 19.5845 | + | 12.5862i | 0.838908 | + | 0.539133i | ||||
\(546\) | −15.9261 | + | 4.67633i | −0.681575 | + | 0.200129i | ||||
\(547\) | −11.9174 | − | 13.7534i | −0.509551 | − | 0.588053i | 0.441433 | − | 0.897294i | \(-0.354470\pi\) |
−0.950984 | + | 0.309242i | \(0.899925\pi\) | |||||||
\(548\) | −4.01405 | − | 1.17863i | −0.171472 | − | 0.0503486i | ||||
\(549\) | 2.43186 | + | 5.32504i | 0.103789 | + | 0.227267i | ||||
\(550\) | −4.50340 | + | 31.3218i | −0.192026 | + | 1.33557i | ||||
\(551\) | 12.3547 | 0.526327 | ||||||||
\(552\) | 7.40932 | + | 8.33784i | 0.315361 | + | 0.354882i | ||||
\(553\) | 48.3551 | 2.05627 | ||||||||
\(554\) | −4.63642 | + | 32.2470i | −0.196983 | + | 1.37005i | ||||
\(555\) | 2.53733 | + | 5.55597i | 0.107704 | + | 0.235838i | ||||
\(556\) | 19.3303 | + | 5.67590i | 0.819789 | + | 0.240712i | ||||
\(557\) | −27.1522 | − | 31.3353i | −1.15048 | − | 1.32772i | −0.936412 | − | 0.350901i | \(-0.885875\pi\) |
−0.214064 | − | 0.976820i | \(-0.568670\pi\) | |||||||
\(558\) | 19.2696 | − | 5.65806i | 0.815746 | − | 0.239525i | ||||
\(559\) | −16.8417 | − | 10.8235i | −0.712328 | − | 0.457785i | ||||
\(560\) | −3.34540 | + | 7.32539i | −0.141369 | + | 0.309554i | ||||
\(561\) | −8.70154 | + | 10.0421i | −0.367379 | + | 0.423978i | ||||
\(562\) | −33.4780 | + | 21.5150i | −1.41218 | + | 0.907556i | ||||
\(563\) | −4.78887 | − | 33.3073i | −0.201827 | − | 1.40374i | −0.798858 | − | 0.601519i | \(-0.794562\pi\) |
0.597031 | − | 0.802218i | \(-0.296347\pi\) | |||||||
\(564\) | 2.15695 | + | 15.0019i | 0.0908239 | + | 0.631694i | ||||
\(565\) | 18.8056 | − | 12.0856i | 0.791157 | − | 0.508446i | ||||
\(566\) | −8.16674 | + | 9.42492i | −0.343274 | + | 0.396159i | ||||
\(567\) | 1.40885 | − | 3.08494i | 0.0591660 | − | 0.129555i | ||||
\(568\) | 2.60173 | + | 1.67203i | 0.109166 | + | 0.0701570i | ||||
\(569\) | −14.7054 | + | 4.31791i | −0.616484 | + | 0.181016i | −0.575041 | − | 0.818125i | \(-0.695014\pi\) |
−0.0414433 | + | 0.999141i | \(0.513196\pi\) | |||||||
\(570\) | 9.45828 | + | 10.9154i | 0.396164 | + | 0.457197i | ||||
\(571\) | 31.2673 | + | 9.18092i | 1.30850 | + | 0.384210i | 0.860329 | − | 0.509739i | \(-0.170258\pi\) |
0.448169 | + | 0.893949i | \(0.352076\pi\) | |||||||
\(572\) | 14.1234 | + | 30.9259i | 0.590528 | + | 1.29308i | ||||
\(573\) | −0.0601262 | + | 0.418187i | −0.00251181 | + | 0.0174700i | ||||
\(574\) | −2.32428 | −0.0970135 | ||||||||
\(575\) | 10.9903 | − | 7.25881i | 0.458328 | − | 0.302713i | ||||
\(576\) | −13.0297 | −0.542905 | ||||||||
\(577\) | −2.56137 | + | 17.8147i | −0.106631 | + | 0.741635i | 0.864421 | + | 0.502768i | \(0.167685\pi\) |
−0.971052 | + | 0.238867i | \(0.923224\pi\) | |||||||
\(578\) | 9.60419 | + | 21.0302i | 0.399482 | + | 0.874743i | ||||
\(579\) | −7.50043 | − | 2.20233i | −0.311707 | − | 0.0915255i | ||||
\(580\) | −29.5685 | − | 34.1239i | −1.22777 | − | 1.41692i | ||||
\(581\) | −8.74235 | + | 2.56699i | −0.362694 | + | 0.106497i | ||||
\(582\) | 7.00764 | + | 4.50354i | 0.290476 | + | 0.186678i | ||||
\(583\) | −17.4815 | + | 38.2792i | −0.724012 | + | 1.58536i | ||||
\(584\) | 15.5102 | − | 17.8997i | 0.641816 | − | 0.740695i | ||||
\(585\) | −5.10627 | + | 3.28160i | −0.211118 | + | 0.135677i | ||||
\(586\) | 1.16916 | + | 8.13165i | 0.0482974 | + | 0.335916i | ||||
\(587\) | −5.13352 | − | 35.7044i | −0.211883 | − | 1.47368i | −0.766861 | − | 0.641813i | \(-0.778183\pi\) |
0.554978 | − | 0.831865i | \(-0.312727\pi\) | |||||||
\(588\) | 11.4990 | − | 7.38996i | 0.474211 | − | 0.304757i | ||||
\(589\) | −13.5511 | + | 15.6388i | −0.558364 | + | 0.644387i | ||||
\(590\) | −12.4123 | + | 27.1791i | −0.511006 | + | 1.11895i | ||||
\(591\) | 10.0653 | + | 6.46856i | 0.414030 | + | 0.266081i | ||||
\(592\) | 1.79648 | − | 0.527494i | 0.0738349 | − | 0.0216799i | ||||
\(593\) | −24.4354 | − | 28.1999i | −1.00344 | − | 1.15803i | −0.987413 | − | 0.158161i | \(-0.949443\pi\) |
−0.0160277 | − | 0.999872i | \(-0.505102\pi\) | |||||||
\(594\) | −11.0554 | − | 3.24616i | −0.453608 | − | 0.133191i | ||||
\(595\) | −10.1481 | − | 22.2213i | −0.416033 | − | 0.910986i | ||||
\(596\) | −3.05663 | + | 21.2593i | −0.125205 | + | 0.870817i | ||||
\(597\) | −19.4656 | −0.796676 | ||||||||
\(598\) | 9.48292 | − | 21.4712i | 0.387785 | − | 0.878021i | ||||
\(599\) | −1.72108 | −0.0703215 | −0.0351607 | − | 0.999382i | \(-0.511194\pi\) | ||||
−0.0351607 | + | 0.999382i | \(0.511194\pi\) | |||||||
\(600\) | 0.909044 | − | 6.32254i | 0.0371116 | − | 0.258117i | ||||
\(601\) | 0.398010 | + | 0.871520i | 0.0162352 | + | 0.0355501i | 0.917576 | − | 0.397561i | \(-0.130143\pi\) |
−0.901341 | + | 0.433111i | \(0.857416\pi\) | |||||||
\(602\) | 67.0368 | + | 19.6838i | 2.73221 | + | 0.802251i | ||||
\(603\) | 0.599483 | + | 0.691840i | 0.0244128 | + | 0.0281739i | ||||
\(604\) | −38.7795 | + | 11.3867i | −1.57791 | + | 0.463317i | ||||
\(605\) | 35.9640 | + | 23.1127i | 1.46215 | + | 0.939664i | ||||
\(606\) | 16.1865 | − | 35.4435i | 0.657532 | − | 1.43980i | ||||
\(607\) | −10.5820 | + | 12.2123i | −0.429510 | + | 0.495681i | −0.928711 | − | 0.370805i | \(-0.879082\pi\) |
0.499200 | + | 0.866487i | \(0.333627\pi\) | |||||||
\(608\) | 12.7733 | − | 8.20892i | 0.518027 | − | 0.332916i | ||||
\(609\) | −2.57874 | − | 17.9355i | −0.104496 | − | 0.726785i | ||||
\(610\) | 5.20374 | + | 36.1928i | 0.210693 | + | 1.46540i | ||||
\(611\) | 9.15775 | − | 5.88533i | 0.370483 | − | 0.238095i | ||||
\(612\) | 5.14611 | − | 5.93892i | 0.208019 | − | 0.240067i | ||||
\(613\) | 13.4019 | − | 29.3462i | 0.541299 | − | 1.18528i | −0.419429 | − | 0.907788i | \(-0.637770\pi\) |
0.960728 | − | 0.277492i | \(-0.0895032\pi\) | |||||||
\(614\) | 45.4228 | + | 29.1914i | 1.83311 | + | 1.17807i | ||||
\(615\) | −0.815527 | + | 0.239460i | −0.0328852 | + | 0.00965597i | ||||
\(616\) | −26.5204 | − | 30.6062i | −1.06854 | − | 1.23316i | ||||
\(617\) | −14.4761 | − | 4.25056i | −0.582785 | − | 0.171121i | −0.0229661 | − | 0.999736i | \(-0.507311\pi\) |
−0.559819 | + | 0.828615i | \(0.689129\pi\) | |||||||
\(618\) | −4.80582 | − | 10.5233i | −0.193319 | − | 0.423309i | ||||
\(619\) | 2.92734 | − | 20.3601i | 0.117660 | − | 0.818340i | −0.842462 | − | 0.538756i | \(-0.818894\pi\) |
0.960121 | − | 0.279584i | \(-0.0901966\pi\) | |||||||
\(620\) | 75.6268 | 3.03725 | ||||||||
\(621\) | 2.04665 | + | 4.33719i | 0.0821292 | + | 0.174045i | ||||
\(622\) | −8.49517 | −0.340625 | ||||||||
\(623\) | 0.376506 | − | 2.61866i | 0.0150844 | − | 0.104914i | ||||
\(624\) | 0.772939 | + | 1.69250i | 0.0309423 | + | 0.0677542i | ||||
\(625\) | 29.9259 | + | 8.78704i | 1.19704 | + | 0.351482i | ||||
\(626\) | 12.0559 | + | 13.9132i | 0.481851 | + | 0.556085i | ||||
\(627\) | 11.3912 | − | 3.34476i | 0.454921 | − | 0.133577i | ||||
\(628\) | 19.7033 | + | 12.6626i | 0.786249 | + | 0.505292i | ||||
\(629\) | −2.35940 | + | 5.16637i | −0.0940755 | + | 0.205997i | ||||
\(630\) | 13.8720 | − | 16.0091i | 0.552673 | − | 0.637818i | ||||
\(631\) | −22.3992 | + | 14.3951i | −0.891699 | + | 0.573060i | −0.904318 | − | 0.426860i | \(-0.859620\pi\) |
0.0126186 | + | 0.999920i | \(0.495983\pi\) | |||||||
\(632\) | 4.71942 | + | 32.8243i | 0.187728 | + | 1.30568i | ||||
\(633\) | −1.00943 | − | 7.02076i | −0.0401214 | − | 0.279050i | ||||
\(634\) | −4.77673 | + | 3.06982i | −0.189708 | + | 0.121918i | ||||
\(635\) | 36.1989 | − | 41.7757i | 1.43651 | − | 1.65782i | ||||
\(636\) | 10.3386 | − | 22.6384i | 0.409953 | − | 0.897671i | ||||
\(637\) | −8.25910 | − | 5.30780i | −0.327237 | − | 0.210303i | ||||
\(638\) | −59.0678 | + | 17.3439i | −2.33851 | + | 0.686650i | ||||
\(639\) | 0.870780 | + | 1.00493i | 0.0344475 | + | 0.0397545i | ||||
\(640\) | −43.0175 | − | 12.6311i | −1.70042 | − | 0.499287i | ||||
\(641\) | 8.55786 | + | 18.7391i | 0.338015 | + | 0.740150i | 0.999956 | − | 0.00940630i | \(-0.00299416\pi\) |
−0.661941 | + | 0.749556i | \(0.730267\pi\) | |||||||
\(642\) | −1.50094 | + | 10.4393i | −0.0592373 | + | 0.412005i | ||||
\(643\) | −23.7922 | −0.938272 | −0.469136 | − | 0.883126i | \(-0.655435\pi\) | ||||
−0.469136 | + | 0.883126i | \(0.655435\pi\) | |||||||
\(644\) | −6.41656 | + | 48.9670i | −0.252848 | + | 1.92957i | ||||
\(645\) | 25.5493 | 1.00600 | ||||||||
\(646\) | −1.91134 | + | 13.2937i | −0.0752008 | + | 0.523033i | ||||
\(647\) | −3.88367 | − | 8.50406i | −0.152683 | − | 0.334329i | 0.817799 | − | 0.575505i | \(-0.195194\pi\) |
−0.970482 | + | 0.241176i | \(0.922467\pi\) | |||||||
\(648\) | 2.23161 | + | 0.655260i | 0.0876660 | + | 0.0257411i | ||||
\(649\) | 16.0836 | + | 18.5615i | 0.631337 | + | 0.728602i | ||||
\(650\) | −12.8969 | + | 3.78688i | −0.505860 | + | 0.148534i | ||||
\(651\) | 25.5317 | + | 16.4082i | 1.00067 | + | 0.643089i | ||||
\(652\) | −25.4433 | + | 55.7131i | −0.996437 | + | 2.18189i | ||||
\(653\) | −9.81606 | + | 11.3283i | −0.384132 | + | 0.443312i | −0.914580 | − | 0.404406i | \(-0.867478\pi\) |
0.530448 | + | 0.847718i | \(0.322024\pi\) | |||||||
\(654\) | −15.7915 | + | 10.1486i | −0.617495 | + | 0.396840i | ||||
\(655\) | −0.698476 | − | 4.85801i | −0.0272917 | − | 0.189818i | ||||
\(656\) | 0.0370794 | + | 0.257893i | 0.00144771 | + | 0.0100690i | ||||
\(657\) | 8.56679 | − | 5.50554i | 0.334222 | − | 0.214792i | ||||
\(658\) | −24.8784 | + | 28.7113i | −0.969863 | + | 1.11928i | ||||
\(659\) | 11.2927 | − | 24.7275i | 0.439900 | − | 0.963246i | −0.551717 | − | 0.834031i | \(-0.686027\pi\) |
0.991617 | − | 0.129214i | \(-0.0412455\pi\) | |||||||
\(660\) | −36.5010 | − | 23.4578i | −1.42080 | − | 0.913092i | ||||
\(661\) | −16.1324 | + | 4.73689i | −0.627476 | + | 0.184244i | −0.579984 | − | 0.814628i | \(-0.696941\pi\) |
−0.0474922 | + | 0.998872i | \(0.515123\pi\) | |||||||
\(662\) | −46.8113 | − | 54.0231i | −1.81937 | − | 2.09967i | ||||
\(663\) | −5.41557 | − | 1.59015i | −0.210323 | − | 0.0617565i | ||||
\(664\) | −2.59576 | − | 5.68392i | −0.100735 | − | 0.220579i | ||||
\(665\) | −3.10624 | + | 21.6044i | −0.120455 | + | 0.837782i | ||||
\(666\) | −4.92498 | −0.190839 | ||||||||
\(667\) | 21.7275 | + | 13.5826i | 0.841291 | + | 0.525919i | ||||
\(668\) | −52.2372 | −2.02112 | ||||||||
\(669\) | 1.06551 | − | 7.41077i | 0.0411949 | − | 0.286517i | ||||
\(670\) | 2.37530 | + | 5.20118i | 0.0917658 | + | 0.200939i | ||||
\(671\) | 28.8385 | + | 8.46773i | 1.11330 | + | 0.326893i | ||||
\(672\) | −14.5832 | − | 16.8299i | −0.562558 | − | 0.649227i | ||||
\(673\) | 35.7381 | − | 10.4937i | 1.37760 | − | 0.404501i | 0.492669 | − | 0.870217i | \(-0.336021\pi\) |
0.884934 | + | 0.465716i | \(0.154203\pi\) | |||||||
\(674\) | −32.0191 | − | 20.5774i | −1.23333 | − | 0.792614i | ||||
\(675\) | 1.14088 | − | 2.49818i | 0.0439125 | − | 0.0961550i | ||||
\(676\) | 16.3921 | − | 18.9175i | 0.630465 | − | 0.727596i | ||||
\(677\) | 20.2147 | − | 12.9912i | 0.776912 | − | 0.499291i | −0.0910951 | − | 0.995842i | \(-0.529037\pi\) |
0.868008 | + | 0.496551i | \(0.165400\pi\) | |||||||
\(678\) | 2.56520 | + | 17.8413i | 0.0985157 | + | 0.685192i | ||||
\(679\) | 1.79150 | + | 12.4602i | 0.0687515 | + | 0.478177i | ||||
\(680\) | 14.0938 | − | 9.05751i | 0.540471 | − | 0.347340i | ||||
\(681\) | −6.60054 | + | 7.61743i | −0.252933 | + | 0.291901i | ||||
\(682\) | 42.8337 | − | 93.7927i | 1.64019 | − | 3.59151i | ||||
\(683\) | 35.2638 | + | 22.6626i | 1.34933 | + | 0.867162i | 0.997620 | − | 0.0689475i | \(-0.0219641\pi\) |
0.351710 | + | 0.936109i | \(0.385600\pi\) | |||||||
\(684\) | −6.73678 | + | 1.97810i | −0.257587 | + | 0.0756345i | ||||
\(685\) | −2.51121 | − | 2.89809i | −0.0959484 | − | 0.110730i | ||||
\(686\) | −18.2442 | − | 5.35698i | −0.696566 | − | 0.204530i | ||||
\(687\) | −2.72352 | − | 5.96368i | −0.103909 | − | 0.227529i | ||||
\(688\) | 1.11459 | − | 7.75216i | 0.0424934 | − | 0.295548i | ||||
\(689\) | −17.8753 | −0.680993 | ||||||||
\(690\) | 4.63346 | + | 29.5947i | 0.176393 | + | 1.12665i | ||||
\(691\) | −41.5911 | −1.58220 | −0.791099 | − | 0.611688i | \(-0.790491\pi\) | ||||
−0.791099 | + | 0.611688i | \(0.790491\pi\) | |||||||
\(692\) | 3.65619 | − | 25.4294i | 0.138988 | − | 0.966680i | ||||
\(693\) | −7.23330 | − | 15.8387i | −0.274770 | − | 0.601663i | ||||
\(694\) | 20.0562 | + | 5.88904i | 0.761324 | + | 0.223545i | ||||
\(695\) | 12.0932 | + | 13.9562i | 0.458720 | + | 0.529391i | ||||
\(696\) | 11.9233 | − | 3.50099i | 0.451950 | − | 0.132705i | ||||
\(697\) | −0.664888 | − | 0.427298i | −0.0251844 | − | 0.0161851i | ||||
\(698\) | 6.76708 | − | 14.8178i | 0.256138 | − | 0.560863i | ||||
\(699\) | −7.21773 | + | 8.32971i | −0.273000 | + | 0.315059i | ||||
\(700\) | 23.7915 | − | 15.2899i | 0.899234 | − | 0.577903i | ||||
\(701\) | 1.51073 | + | 10.5074i | 0.0570595 | + | 0.396857i | 0.998258 | + | 0.0590029i | \(0.0187921\pi\) |
−0.941198 | + | 0.337855i | \(0.890299\pi\) | |||||||
\(702\) | −0.696526 | − | 4.84444i | −0.0262887 | − | 0.182842i | ||||
\(703\) | 4.26901 | − | 2.74353i | 0.161009 | − | 0.103474i | ||||
\(704\) | −43.8084 | + | 50.5575i | −1.65109 | + | 1.90546i | ||||
\(705\) | −5.77119 | + | 12.6371i | −0.217355 | + | 0.475942i | ||||
\(706\) | −57.7644 | − | 37.1229i | −2.17399 | − | 1.39714i | ||||
\(707\) | 56.4983 | − | 16.5894i | 2.12484 | − | 0.623908i | ||||
\(708\) | −9.51188 | − | 10.9773i | −0.357478 | − | 0.412552i | ||||
\(709\) | −2.76637 | − | 0.812279i | −0.103893 | − | 0.0305058i | 0.229373 | − | 0.973339i | \(-0.426333\pi\) |
−0.333266 | + | 0.942833i | \(0.608151\pi\) | |||||||
\(710\) | 3.45024 | + | 7.55498i | 0.129485 | + | 0.283533i | ||||
\(711\) | −2.02914 | + | 14.1130i | −0.0760986 | + | 0.529278i | ||||
\(712\) | 1.81433 | 0.0679950 | ||||||||
\(713\) | −41.0247 | + | 12.6052i | −1.53639 | + | 0.472069i | ||||
\(714\) | 19.6977 | 0.737166 | ||||||||
\(715\) | −4.43507 | + | 30.8466i | −0.165862 | + | 1.15360i | ||||
\(716\) | −16.7066 | − | 36.5824i | −0.624356 | − | 1.36715i | ||||
\(717\) | −6.25641 | − | 1.83705i | −0.233650 | − | 0.0686058i | ||||
\(718\) | −8.89025 | − | 10.2599i | −0.331781 | − | 0.382896i | ||||
\(719\) | −4.38297 | + | 1.28696i | −0.163457 | + | 0.0479954i | −0.362437 | − | 0.932008i | \(-0.618055\pi\) |
0.198980 | + | 0.980004i | \(0.436237\pi\) | |||||||
\(720\) | −1.99761 | − | 1.28379i | −0.0744466 | − | 0.0478439i | ||||
\(721\) | 7.26256 | − | 15.9028i | 0.270472 | − | 0.592251i | ||||
\(722\) | −20.0649 | + | 23.1561i | −0.746737 | + | 0.861780i | ||||
\(723\) | 5.93216 | − | 3.81237i | 0.220619 | − | 0.141783i | ||||
\(724\) | 4.21299 | + | 29.3020i | 0.156574 | + | 1.08900i | ||||
\(725\) | −2.08826 | − | 14.5242i | −0.0775560 | − | 0.539414i | ||||
\(726\) | −28.9987 | + | 18.6363i | −1.07624 | + | 0.691659i | ||||
\(727\) | −23.2762 | + | 26.8622i | −0.863266 | + | 0.996262i | 0.136718 | + | 0.990610i | \(0.456345\pi\) |
−0.999984 | + | 0.00565201i | \(0.998201\pi\) | |||||||
\(728\) | 7.14608 | − | 15.6477i | 0.264852 | − | 0.579944i | ||||
\(729\) | 0.841254 | + | 0.540641i | 0.0311575 | + | 0.0200237i | ||||
\(730\) | 61.0297 | − | 17.9199i | 2.25881 | − | 0.663246i | ||||
\(731\) | 15.5580 | + | 17.9549i | 0.575434 | + | 0.664086i | ||||
\(732\) | −17.0551 | − | 5.00783i | −0.630375 | − | 0.185095i | ||||
\(733\) | −9.22320 | − | 20.1960i | −0.340667 | − | 0.745956i | 0.659316 | − | 0.751866i | \(-0.270846\pi\) |
−0.999983 | + | 0.00591019i | \(0.998119\pi\) | |||||||
\(734\) | 3.99645 | − | 27.7959i | 0.147512 | − | 1.02597i | ||||
\(735\) | 12.5293 | 0.462150 | ||||||||
\(736\) | 31.4885 | − | 0.393741i | 1.16068 | − | 0.0145135i | ||||
\(737\) | 4.70003 | 0.173128 | ||||||||
\(738\) | 0.0975342 | − | 0.678365i | 0.00359028 | − | 0.0249710i | ||||
\(739\) | −16.8869 | − | 36.9771i | −0.621194 | − | 1.36023i | −0.914647 | − | 0.404253i | \(-0.867532\pi\) |
0.293453 | − | 0.955974i | \(-0.405196\pi\) | |||||||
\(740\) | −17.7947 | − | 5.22501i | −0.654148 | − | 0.192075i | ||||
\(741\) | 3.30242 | + | 3.81119i | 0.121317 | + | 0.140008i | ||||
\(742\) | 59.8559 | − | 17.5753i | 2.19738 | − | 0.645208i | ||||
\(743\) | −32.4043 | − | 20.8250i | −1.18880 | − | 0.763994i | −0.211814 | − | 0.977310i | \(-0.567937\pi\) |
−0.976983 | + | 0.213316i | \(0.931573\pi\) | |||||||
\(744\) | −8.64630 | + | 18.9328i | −0.316989 | + | 0.694109i | ||||
\(745\) | −12.8924 | + | 14.8787i | −0.472343 | + | 0.545112i | ||||
\(746\) | 64.6351 | − | 41.5385i | 2.36646 | − | 1.52083i | ||||
\(747\) | −0.382345 | − | 2.65927i | −0.0139893 | − | 0.0972975i | ||||
\(748\) | −5.74187 | − | 39.9356i | −0.209943 | − | 1.46019i | ||||
\(749\) | −13.4079 | + | 8.61675i | −0.489915 | + | 0.314849i | ||||
\(750\) | −9.21809 | + | 10.6382i | −0.336597 | + | 0.388454i | ||||
\(751\) | −1.10851 | + | 2.42730i | −0.0404501 | + | 0.0885734i | −0.928778 | − | 0.370636i | \(-0.879140\pi\) |
0.888328 | + | 0.459209i | \(0.151867\pi\) | |||||||
\(752\) | 3.58258 | + | 2.30238i | 0.130643 | + | 0.0839593i | ||||
\(753\) | 2.05804 | − | 0.604296i | 0.0749993 | − | 0.0220218i | ||||
\(754\) | −17.1243 | − | 19.7625i | −0.623630 | − | 0.719707i | ||||
\(755\) | −35.5464 | − | 10.4374i | −1.29366 | − | 0.379854i | ||||
\(756\) | 4.27779 | + | 9.36705i | 0.155582 | + | 0.340676i | ||||
\(757\) | −3.38520 | + | 23.5446i | −0.123037 | + | 0.855743i | 0.831046 | + | 0.556203i | \(0.187742\pi\) |
−0.954084 | + | 0.299540i | \(0.903167\pi\) | |||||||
\(758\) | −10.9293 | −0.396969 | ||||||||
\(759\) | 23.7103 | + | 6.64110i | 0.860628 | + | 0.241057i | ||||
\(760\) | −14.9686 | −0.542968 | ||||||||
\(761\) | 2.37376 | − | 16.5099i | 0.0860487 | − | 0.598482i | −0.900480 | − | 0.434896i | \(-0.856785\pi\) |
0.986529 | − | 0.163585i | \(-0.0523059\pi\) | |||||||
\(762\) | 18.5156 | + | 40.5436i | 0.670750 | + | 1.46874i | ||||
\(763\) | −27.2182 | − | 7.99199i | −0.985366 | − | 0.289329i | ||||
\(764\) | −0.840075 | − | 0.969499i | −0.0303929 | − | 0.0350752i | ||||
\(765\) | 6.91138 | − | 2.02937i | 0.249882 | − | 0.0733718i | ||||
\(766\) | 51.5869 | + | 33.1529i | 1.86391 | + | 1.19786i | ||||
\(767\) | −4.33383 | + | 9.48976i | −0.156486 | + | 0.342655i | ||||
\(768\) | 6.60821 | − | 7.62628i | 0.238453 | − | 0.275190i | ||||
\(769\) | 43.1352 | − | 27.7213i | 1.55550 | − | 0.999657i | 0.571681 | − | 0.820476i | \(-0.306292\pi\) |
0.983816 | − | 0.179181i | \(-0.0573448\pi\) | |||||||
\(770\) | −15.4779 | − | 107.651i | −0.557786 | − | 3.87948i | ||||
\(771\) | 2.54451 | + | 17.6974i | 0.0916382 | + | 0.637358i | ||||
\(772\) | 19.9677 | − | 12.8324i | 0.718651 | − | 0.461849i | ||||
\(773\) | 9.38915 | − | 10.8357i | 0.337704 | − | 0.389732i | −0.561343 | − | 0.827583i | \(-0.689715\pi\) |
0.899047 | + | 0.437852i | \(0.144261\pi\) | |||||||
\(774\) | −8.55800 | + | 18.7394i | −0.307611 | + | 0.673574i | ||||
\(775\) | 20.6755 | + | 13.2873i | 0.742686 | + | 0.477295i | ||||
\(776\) | −8.28332 | + | 2.43220i | −0.297354 | + | 0.0873109i | ||||
\(777\) | −4.87389 | − | 5.62477i | −0.174850 | − | 0.201787i | ||||
\(778\) | 30.9598 | + | 9.09062i | 1.10996 | + | 0.325914i | ||||
\(779\) | 0.293349 | + | 0.642345i | 0.0105103 | + | 0.0230144i | ||||
\(780\) | 2.62291 | − | 18.2427i | 0.0939151 | − | 0.653194i | ||||
\(781\) | 6.82704 | 0.244291 | ||||||||
\(782\) | −17.9763 | + | 21.2775i | −0.642830 | + | 0.760883i | ||||
\(783\) | 5.34289 | 0.190939 | ||||||||
\(784\) | 0.546592 | − | 3.80163i | 0.0195211 | − | 0.135772i | ||||
\(785\) | 8.91843 | + | 19.5286i | 0.318312 | + | 0.697007i | ||||
\(786\) | 3.79711 | + | 1.11493i | 0.135439 | + | 0.0397683i | ||||
\(787\) | 14.3000 | + | 16.5031i | 0.509740 | + | 0.588271i | 0.951032 | − | 0.309093i | \(-0.100025\pi\) |
−0.441292 | + | 0.897363i | \(0.645480\pi\) | |||||||
\(788\) | −34.8575 | + | 10.2351i | −1.24175 | + | 0.364610i | ||||
\(789\) | −8.37359 | − | 5.38138i | −0.298108 | − | 0.191582i | ||||
\(790\) | −36.9957 | + | 81.0094i | −1.31625 | + | 2.88218i | ||||
\(791\) | −17.8378 | + | 20.5859i | −0.634239 | + | 0.731951i | ||||
\(792\) | 10.0456 | − | 6.45593i | 0.356956 | − | 0.229401i | ||||
\(793\) | 1.81692 | + | 12.6369i | 0.0645206 | + | 0.448751i | ||||
\(794\) | 12.3111 | + | 85.6258i | 0.436906 | + | 3.03875i | ||||
\(795\) | 19.1911 | − | 12.3334i | 0.680639 | − | 0.437420i | ||||
\(796\) | 38.7056 | − | 44.6686i | 1.37188 | − | 1.58324i | ||||
\(797\) | 5.09393 | − | 11.1542i | 0.180436 | − | 0.395101i | −0.797703 | − | 0.603050i | \(-0.793952\pi\) |
0.978139 | + | 0.207950i | \(0.0666791\pi\) | |||||||
\(798\) | −14.8055 | − | 9.51490i | −0.524108 | − | 0.336824i | ||||
\(799\) | −12.3951 | + | 3.63953i | −0.438507 | + | 0.128757i | ||||
\(800\) | −11.8094 | − | 13.6288i | −0.417526 | − | 0.481851i | ||||
\(801\) | 0.748483 | + | 0.219774i | 0.0264463 | + | 0.00776535i | ||||
\(802\) | 27.7159 | + | 60.6893i | 0.978682 | + | 2.14301i | ||||
\(803\) | 7.44071 | − | 51.7513i | 0.262577 | − | 1.82626i | ||||
\(804\) | −2.77961 | −0.0980292 | ||||||||
\(805\) | −29.2144 | + | 34.5795i | −1.02967 | + | 1.21877i | ||||
\(806\) | 43.7984 | 1.54273 | ||||||||
\(807\) | 2.24240 | − | 15.5962i | 0.0789362 | − | 0.549013i | ||||
\(808\) | 16.7753 | + | 36.7329i | 0.590154 | + | 1.29226i | ||||
\(809\) | −6.43989 | − | 1.89092i | −0.226414 | − | 0.0664813i | 0.166558 | − | 0.986032i | \(-0.446735\pi\) |
−0.392972 | + | 0.919550i | \(0.628553\pi\) | |||||||
\(810\) | 4.09032 | + | 4.72048i | 0.143719 | + | 0.165861i | ||||
\(811\) | −7.85825 | + | 2.30739i | −0.275941 | + | 0.0810234i | −0.416775 | − | 0.909010i | \(-0.636840\pi\) |
0.140834 | + | 0.990033i | \(0.455021\pi\) | |||||||
\(812\) | 46.2850 | + | 29.7456i | 1.62429 | + | 1.04386i | ||||
\(813\) | −12.8068 | + | 28.0429i | −0.449153 | + | 0.983509i | ||||
\(814\) | −16.5587 | + | 19.1098i | −0.580383 | + | 0.669797i | ||||
\(815\) | −47.2293 | + | 30.3524i | −1.65437 | + | 1.06320i | ||||
\(816\) | −0.314239 | − | 2.18558i | −0.0110006 | − | 0.0765105i | ||||
\(817\) | −3.02090 | − | 21.0108i | −0.105688 | − | 0.735075i | ||||
\(818\) | 35.7809 | − | 22.9950i | 1.25105 | − | 0.804000i | ||||
\(819\) | 4.84349 | − | 5.58968i | 0.169245 | − | 0.195319i | ||||
\(820\) | 1.07210 | − | 2.34757i | 0.0374393 | − | 0.0819806i | ||||
\(821\) | −32.9558 | − | 21.1794i | −1.15016 | − | 0.739166i | −0.180492 | − | 0.983576i | \(-0.557769\pi\) |
−0.969672 | + | 0.244411i | \(0.921405\pi\) | |||||||
\(822\) | 2.96678 | − | 0.871126i | 0.103478 | − | 0.0303840i | ||||
\(823\) | −1.32564 | − | 1.52987i | −0.0462090 | − | 0.0533281i | 0.732175 | − | 0.681117i | \(-0.238506\pi\) |
−0.778384 | + | 0.627789i | \(0.783960\pi\) | |||||||
\(824\) | 11.5039 | + | 3.37785i | 0.400757 | + | 0.117673i | ||||
\(825\) | −5.85751 | − | 12.8262i | −0.203932 | − | 0.446550i | ||||
\(826\) | 5.18146 | − | 36.0379i | 0.180286 | − | 1.25392i | ||||
\(827\) | 4.11637 | 0.143140 | 0.0715701 | − | 0.997436i | \(-0.477199\pi\) | ||||
0.0715701 | + | 0.997436i | \(0.477199\pi\) | |||||||
\(828\) | −14.0223 | − | 3.92756i | −0.487308 | − | 0.136492i | ||||
\(829\) | 19.7321 | 0.685323 | 0.342661 | − | 0.939459i | \(-0.388672\pi\) | ||||
0.342661 | + | 0.939459i | \(0.388672\pi\) | |||||||
\(830\) | 2.38816 | − | 16.6100i | 0.0828943 | − | 0.576542i | ||||
\(831\) | −6.03054 | − | 13.2050i | −0.209197 | − | 0.458078i | ||||
\(832\) | −27.2649 | − | 8.00571i | −0.945242 | − | 0.277548i | ||||
\(833\) | 7.62959 | + | 8.80501i | 0.264349 | + | 0.305076i | ||||
\(834\) | −14.2871 | + | 4.19506i | −0.494720 | + | 0.145263i | ||||
\(835\) | −40.2810 | − | 25.8870i | −1.39398 | − | 0.895857i | ||||
\(836\) | −14.9750 | + | 32.7906i | −0.517920 | + | 1.13409i | ||||
\(837\) | −5.86031 | + | 6.76315i | −0.202562 | + | 0.233769i | ||||
\(838\) | 37.2635 | − | 23.9478i | 1.28725 | − | 0.827264i | ||||
\(839\) | 8.08581 | + | 56.2380i | 0.279153 | + | 1.94155i | 0.332811 | + | 0.942993i | \(0.392003\pi\) |
−0.0536580 | + | 0.998559i | \(0.517088\pi\) | |||||||
\(840\) | 3.12433 | + | 21.7302i | 0.107800 | + | 0.749763i | ||||
\(841\) | −0.381507 | + | 0.245179i | −0.0131554 | + | 0.00845446i | ||||
\(842\) | −50.6755 | + | 58.4827i | −1.74639 | + | 2.01545i | ||||
\(843\) | 7.36641 | − | 16.1302i | 0.253713 | − | 0.555553i | ||||
\(844\) | 18.1180 | + | 11.6437i | 0.623647 | + | 0.400793i | ||||
\(845\) | 22.0151 | − | 6.46422i | 0.757343 | − | 0.222376i | ||||
\(846\) | −7.33571 | − | 8.46586i | −0.252207 | − | 0.291062i | ||||
\(847\) | −49.9822 | − | 14.6761i | −1.71741 | − | 0.504277i | ||||
\(848\) | −2.90497 | − | 6.36100i | −0.0997571 | − | 0.218438i | ||||
\(849\) | 0.790844 | − | 5.50044i | 0.0271417 | − | 0.188775i | ||||
\(850\) | 15.9511 | 0.547119 | ||||||||
\(851\) | 10.5239 | − | 0.131593i | 0.360754 | − | 0.00451096i | ||||
\(852\) | −4.03752 | −0.138323 | ||||||||
\(853\) | −4.91230 | + | 34.1658i | −0.168194 | + | 1.16981i | 0.714421 | + | 0.699717i | \(0.246690\pi\) |
−0.882614 | + | 0.470098i | \(0.844219\pi\) | |||||||
\(854\) | −18.5089 | − | 40.5287i | −0.633360 | − | 1.38687i | ||||
\(855\) | −6.17512 | − | 1.81318i | −0.211185 | − | 0.0620095i | ||||
\(856\) | −7.15780 | − | 8.26054i | −0.244648 | − | 0.282339i | ||||
\(857\) | 15.0191 | − | 4.41002i | 0.513044 | − | 0.150643i | −0.0149552 | − | 0.999888i | \(-0.504761\pi\) |
0.527999 | + | 0.849245i | \(0.322942\pi\) | |||||||
\(858\) | −21.1391 | − | 13.5853i | −0.721678 | − | 0.463794i | ||||
\(859\) | −5.27456 | + | 11.5497i | −0.179966 | + | 0.394070i | −0.978019 | − | 0.208517i | \(-0.933136\pi\) |
0.798053 | + | 0.602587i | \(0.205863\pi\) | |||||||
\(860\) | −50.8024 | + | 58.6291i | −1.73235 | + | 1.99924i | ||||
\(861\) | 0.871276 | − | 0.559935i | 0.0296930 | − | 0.0190825i | ||||
\(862\) | −11.5856 | − | 80.5794i | −0.394606 | − | 2.74455i | ||||
\(863\) | 7.03445 | + | 48.9257i | 0.239455 | + | 1.66545i | 0.654813 | + | 0.755791i | \(0.272747\pi\) |
−0.415357 | + | 0.909658i | \(0.636343\pi\) | |||||||
\(864\) | 5.52394 | − | 3.55002i | 0.187928 | − | 0.120774i | ||||
\(865\) | 15.4213 | − | 17.7971i | 0.524340 | − | 0.605121i | ||||
\(866\) | 27.1191 | − | 59.3826i | 0.921546 | − | 2.01790i | ||||
\(867\) | −8.66655 | − | 5.56965i | −0.294332 | − | 0.189155i | ||||
\(868\) | −88.4199 | + | 25.9624i | −3.00117 | + | 0.881222i | ||||
\(869\) | 47.9384 | + | 55.3239i | 1.62620 | + | 1.87673i | ||||
\(870\) | 32.0204 | + | 9.40203i | 1.08559 | + | 0.318759i | ||||
\(871\) | 0.829350 | + | 1.81602i | 0.0281015 | + | 0.0615336i | ||||
\(872\) | 2.76862 | − | 19.2562i | 0.0937574 | − | 0.652097i | ||||
\(873\) | −3.71181 | −0.125626 | ||||||||
\(874\) | 23.7897 | − | 7.30959i | 0.804698 | − | 0.247250i | ||||
\(875\) | −21.2723 | −0.719134 | ||||||||
\(876\) | −4.40045 | + | 30.6058i | −0.148677 | + | 1.03407i | ||||
\(877\) | −6.21733 | − | 13.6141i | −0.209944 | − | 0.459714i | 0.775139 | − | 0.631790i | \(-0.217680\pi\) |
−0.985084 | + | 0.172077i | \(0.944952\pi\) | |||||||
\(878\) | −36.6206 | − | 10.7528i | −1.23589 | − | 0.362889i | ||||
\(879\) | −2.39724 | − | 2.76656i | −0.0808570 | − | 0.0933139i | ||||
\(880\) | −11.6977 | + | 3.43474i | −0.394328 | + | 0.115785i | ||||
\(881\) | −25.9272 | − | 16.6624i | −0.873508 | − | 0.561370i | 0.0253156 | − | 0.999680i | \(-0.491941\pi\) |
−0.898824 | + | 0.438310i | \(0.855577\pi\) | |||||||
\(882\) | −4.19681 | + | 9.18973i | −0.141314 | + | 0.309434i | ||||
\(883\) | 24.3213 | − | 28.0683i | 0.818478 | − | 0.944574i | −0.180763 | − | 0.983527i | \(-0.557857\pi\) |
0.999241 | + | 0.0389523i | \(0.0124020\pi\) | |||||||
\(884\) | 14.4173 | − | 9.26545i | 0.484907 | − | 0.311631i | ||||
\(885\) | −1.89479 | − | 13.1785i | −0.0636926 | − | 0.442992i | ||||
\(886\) | 4.94907 | + | 34.4216i | 0.166267 | + | 1.15642i | ||||
\(887\) | −18.4129 | + | 11.8332i | −0.618243 | + | 0.397321i | −0.811940 | − | 0.583741i | \(-0.801589\pi\) |
0.193697 | + | 0.981061i | \(0.437952\pi\) | |||||||
\(888\) | 3.34250 | − | 3.85745i | 0.112167 | − | 0.129448i | ||||
\(889\) | −27.9808 | + | 61.2695i | −0.938447 | + | 2.05491i | ||||
\(890\) | 4.09897 | + | 2.63425i | 0.137398 | + | 0.0883003i | ||||
\(891\) | 4.92623 | − | 1.44647i | 0.165035 | − | 0.0484587i | ||||
\(892\) | 14.8871 | + | 17.1807i | 0.498458 | + | 0.575252i | ||||
\(893\) | 11.0747 | + | 3.25182i | 0.370600 | + | 0.108818i | ||||
\(894\) | −6.59445 | − | 14.4398i | −0.220551 | − | 0.482940i | ||||
\(895\) | 5.24626 | − | 36.4886i | 0.175363 | − | 1.21968i | ||||
\(896\) | 54.6306 | 1.82508 | ||||||||
\(897\) | 1.61780 | + | 10.3332i | 0.0540168 | + | 0.345014i | ||||
\(898\) | −34.7490 | −1.15959 | ||||||||
\(899\) | −6.80453 | + | 47.3265i | −0.226944 | + | 1.57843i | ||||
\(900\) | 3.46414 | + | 7.58542i | 0.115471 | + | 0.252847i | ||||
\(901\) | 20.3536 | + | 5.97635i | 0.678076 | + | 0.199101i | ||||
\(902\) | −2.30425 | − | 2.65924i | −0.0767230 | − | 0.0885430i | ||||
\(903\) | −29.8713 | + | 8.77100i | −0.994054 | + | 0.291881i | ||||
\(904\) | −15.7150 | − | 10.0994i | −0.522674 | − | 0.335902i | ||||
\(905\) | −11.2724 | + | 24.6831i | −0.374706 | + | 0.820493i | ||||
\(906\) | 19.5620 | − | 22.5757i | 0.649903 | − | 0.750028i | ||||
\(907\) | 18.6382 | − | 11.9781i | 0.618872 | − | 0.397725i | −0.193303 | − | 0.981139i | \(-0.561920\pi\) |
0.812175 | + | 0.583414i | \(0.198284\pi\) | |||||||
\(908\) | −4.35549 | − | 30.2931i | −0.144542 | − | 1.00531i | ||||
\(909\) | 2.47094 | + | 17.1858i | 0.0819559 | + | 0.570016i | ||||
\(910\) | 38.8637 | − | 24.9762i | 1.28832 | − | 0.827952i | ||||
\(911\) | −25.0315 | + | 28.8879i | −0.829332 | + | 0.957100i | −0.999600 | − | 0.0282982i | \(-0.990991\pi\) |
0.170268 | + | 0.985398i | \(0.445537\pi\) | |||||||
\(912\) | −0.819544 | + | 1.79455i | −0.0271378 | + | 0.0594235i | ||||
\(913\) | −11.6039 | − | 7.45740i | −0.384034 | − | 0.246804i | ||||
\(914\) | 86.1820 | − | 25.3053i | 2.85065 | − | 0.837026i | ||||
\(915\) | −10.6698 | − | 12.3136i | −0.352732 | − | 0.407074i | ||||
\(916\) | 19.1006 | + | 5.60843i | 0.631101 | + | 0.185308i | ||||
\(917\) | 2.48437 | + | 5.44001i | 0.0820411 | + | 0.179645i | ||||
\(918\) | −0.826577 | + | 5.74897i | −0.0272811 | + | 0.189744i | ||||
\(919\) | 19.7243 | 0.650645 | 0.325322 | − | 0.945603i | \(-0.394527\pi\) | ||||
0.325322 | + | 0.945603i | \(0.394527\pi\) | |||||||
\(920\) | −26.3244 | − | 16.4563i | −0.867890 | − | 0.542547i | ||||
\(921\) | −24.0595 | −0.792789 | ||||||||
\(922\) | 0.324552 | − | 2.25731i | 0.0106886 | − | 0.0743405i | ||||
\(923\) | 1.20467 | + | 2.63787i | 0.0396523 | + | 0.0868265i | ||||
\(924\) | 50.7285 | + | 14.8952i | 1.66884 | + | 0.490017i | ||||
\(925\) | −3.94687 | − | 4.55493i | −0.129772 | − | 0.149765i | ||||
\(926\) | −14.9683 | + | 4.39509i | −0.491888 | + | 0.144431i | ||||
\(927\) | 4.33664 | + | 2.78699i | 0.142434 | + | 0.0915368i | ||||
\(928\) | 14.5741 | − | 31.9127i | 0.478417 | − | 1.04759i | ||||
\(929\) | 34.8707 | − | 40.2429i | 1.14407 | − | 1.32033i | 0.204148 | − | 0.978940i | \(-0.434558\pi\) |
0.939922 | − | 0.341388i | \(-0.110897\pi\) | |||||||
\(930\) | −47.0226 | + | 30.2196i | −1.54193 | + | 0.990938i | ||||
\(931\) | −1.48144 | − | 10.3036i | −0.0485521 | − | 0.337687i | ||||
\(932\) | −4.76275 | − | 33.1257i | −0.156009 | − | 1.08507i | ||||
\(933\) | 3.18449 | − | 2.04655i | 0.104255 | − | 0.0670009i | ||||
\(934\) | 47.2679 | − | 54.5501i | 1.54665 | − | 1.78493i | ||||
\(935\) | 15.3631 | − | 33.6405i | 0.502427 | − | 1.10016i | ||||
\(936\) | 4.26709 | + | 2.74229i | 0.139474 | + | 0.0896346i | ||||
\(937\) | 36.1268 | − | 10.6078i | 1.18021 | − | 0.346541i | 0.367955 | − | 0.929844i | \(-0.380058\pi\) |
0.812255 | + | 0.583303i | \(0.198240\pi\) | |||||||
\(938\) | −4.56265 | − | 5.26558i | −0.148976 | − | 0.171927i | ||||
\(939\) | −7.87106 | − | 2.31115i | −0.256862 | − | 0.0754216i | ||||
\(940\) | −17.5235 | − | 38.3711i | −0.571553 | − | 1.25153i | ||||
\(941\) | −6.75847 | + | 47.0062i | −0.220320 | + | 1.53236i | 0.516511 | + | 0.856280i | \(0.327230\pi\) |
−0.736831 | + | 0.676077i | \(0.763679\pi\) | |||||||
\(942\) | −17.3108 | −0.564015 | ||||||||
\(943\) | −0.190289 | + | 1.45216i | −0.00619666 | + | 0.0472888i | ||||
\(944\) | −4.08128 | −0.132834 | ||||||||
\(945\) | −1.34332 | + | 9.34301i | −0.0436983 | + | 0.303928i | ||||
\(946\) | 43.9385 | + | 96.2119i | 1.42856 | + | 3.12812i | ||||
\(947\) | 6.39248 | + | 1.87700i | 0.207728 | + | 0.0609944i | 0.383941 | − | 0.923358i | \(-0.374567\pi\) |
−0.176213 | + | 0.984352i | \(0.556385\pi\) | |||||||
\(948\) | −28.3508 | − | 32.7186i | −0.920793 | − | 1.06265i | ||||
\(949\) | 21.3089 | − | 6.25685i | 0.691716 | − | 0.203106i | ||||
\(950\) | −11.9894 | − | 7.70515i | −0.388989 | − | 0.249988i | ||||
\(951\) | 1.05106 | − | 2.30150i | 0.0340829 | − | 0.0746312i | ||||
\(952\) | −13.3685 | + | 15.4280i | −0.433274 | + | 0.500025i | ||||
\(953\) | 40.2257 | − | 25.8515i | 1.30304 | − | 0.837411i | 0.309498 | − | 0.950900i | \(-0.399839\pi\) |
0.993539 | + | 0.113489i | \(0.0362026\pi\) | |||||||
\(954\) | 2.61778 | + | 18.2071i | 0.0847539 | + | 0.589476i | ||||
\(955\) | −0.167345 | − | 1.16391i | −0.00541516 | − | 0.0376632i | ||||
\(956\) | 16.6558 | − | 10.7040i | 0.538688 | − | 0.346193i | ||||
\(957\) | 17.9638 | − | 20.7313i | 0.580688 | − | 0.670149i | ||||
\(958\) | −19.4442 | + | 42.5768i | −0.628213 | + | 1.37559i | ||||
\(959\) | 3.93091 | + | 2.52624i | 0.126936 | + | 0.0815766i | ||||
\(960\) | 34.7957 | − | 10.2169i | 1.12303 | − | 0.329750i | ||||
\(961\) | −32.1428 | − | 37.0948i | −1.03686 | − | 1.19661i | ||||
\(962\) | −10.3056 | − | 3.02600i | −0.332267 | − | 0.0975623i | ||||
\(963\) | −1.95225 | − | 4.27483i | −0.0629104 | − | 0.137755i | ||||
\(964\) | −3.04713 | + | 21.1933i | −0.0981416 | + | 0.682590i | ||||
\(965\) | 21.7567 | 0.700373 | ||||||||
\(966\) | −15.5770 | − | 33.0103i | −0.501182 | − | 1.06209i | ||||
\(967\) | −14.8524 | −0.477621 | −0.238811 | − | 0.971066i | \(-0.576758\pi\) | ||||
−0.238811 | + | 0.971066i | \(0.576758\pi\) | |||||||
\(968\) | 5.08417 | − | 35.3611i | 0.163411 | − | 1.13655i | ||||
\(969\) | −2.48606 | − | 5.44371i | −0.0798637 | − | 0.174877i | ||||
\(970\) | −22.2452 | − | 6.53177i | −0.714249 | − | 0.209722i | ||||
\(971\) | 12.5998 | + | 14.5409i | 0.404347 | + | 0.466641i | 0.921005 | − | 0.389551i | \(-0.127370\pi\) |
−0.516658 | + | 0.856192i | \(0.672824\pi\) | |||||||
\(972\) | −2.91338 | + | 0.855446i | −0.0934468 | + | 0.0274385i | ||||
\(973\) | −18.9300 | − | 12.1656i | −0.606867 | − | 0.390010i | ||||
\(974\) | 7.81447 | − | 17.1113i | 0.250392 | − | 0.548282i | ||||
\(975\) | 3.92225 | − | 4.52651i | 0.125612 | − | 0.144964i | ||||
\(976\) | −4.20164 | + | 2.70023i | −0.134491 | + | 0.0864323i | ||||
\(977\) | −0.285249 | − | 1.98395i | −0.00912591 | − | 0.0634721i | 0.984750 | − | 0.173978i | \(-0.0556621\pi\) |
−0.993875 | + | 0.110506i | \(0.964753\pi\) | |||||||
\(978\) | −6.44236 | − | 44.8076i | −0.206004 | − | 1.43279i | ||||
\(979\) | 3.36930 | − | 2.16532i | 0.107683 | − | 0.0692039i | ||||
\(980\) | −24.9133 | + | 28.7515i | −0.795826 | + | 0.918433i | ||||
\(981\) | 3.47471 | − | 7.60856i | 0.110939 | − | 0.242923i | ||||
\(982\) | −51.2855 | − | 32.9592i | −1.63659 | − | 1.05177i | ||||
\(983\) | −16.5833 | + | 4.86929i | −0.528924 | + | 0.155306i | −0.535282 | − | 0.844674i | \(-0.679795\pi\) |
0.00635737 | + | 0.999980i | \(0.497976\pi\) | |||||||
\(984\) | 0.465129 | + | 0.536787i | 0.0148278 | + | 0.0171122i | ||||
\(985\) | −31.9514 | − | 9.38178i | −1.01806 | − | 0.298928i | ||||
\(986\) | 12.8912 | + | 28.2277i | 0.410538 | + | 0.898953i | ||||
\(987\) | 2.40916 | − | 16.7561i | 0.0766844 | − | 0.533351i | ||||
\(988\) | −15.3122 | −0.487147 | ||||||||
\(989\) | 17.7863 | − | 40.2717i | 0.565572 | − | 1.28056i | ||||
\(990\) | 32.0687 | 1.01921 | ||||||||
\(991\) | −2.49219 | + | 17.3336i | −0.0791670 | + | 0.550618i | 0.911180 | + | 0.412008i | \(0.135173\pi\) |
−0.990347 | + | 0.138610i | \(0.955737\pi\) | |||||||
\(992\) | 24.4104 | + | 53.4514i | 0.775032 | + | 1.69708i | ||||
\(993\) | 30.5622 | + | 8.97387i | 0.969861 | + | 0.284777i | ||||
\(994\) | −6.62748 | − | 7.64852i | −0.210211 | − | 0.242596i | ||||
\(995\) | 51.9828 | − | 15.2635i | 1.64796 | − | 0.483886i | ||||
\(996\) | 6.86259 | + | 4.41032i | 0.217449 | + | 0.139746i | ||||
\(997\) | 15.9380 | − | 34.8994i | 0.504762 | − | 1.10527i | −0.470130 | − | 0.882597i | \(-0.655793\pi\) |
0.974892 | − | 0.222678i | \(-0.0714798\pi\) | |||||||
\(998\) | 39.0981 | − | 45.1216i | 1.23763 | − | 1.42830i | ||||
\(999\) | 1.84617 | − | 1.18646i | 0.0584103 | − | 0.0375380i |
(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 | 69.2.e.c.31.2 | ✓ | 20 | |
3.2 | odd | 2 | 207.2.i.d.100.1 | 20 | |||
23.3 | even | 11 | inner | 69.2.e.c.49.2 | yes | 20 | |
23.7 | odd | 22 | 1587.2.a.t.1.2 | 10 | |||
23.16 | even | 11 | 1587.2.a.u.1.2 | 10 | |||
69.26 | odd | 22 | 207.2.i.d.118.1 | 20 | |||
69.53 | even | 22 | 4761.2.a.bu.1.9 | 10 | |||
69.62 | odd | 22 | 4761.2.a.bt.1.9 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.2.e.c.31.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
69.2.e.c.49.2 | yes | 20 | 23.3 | even | 11 | inner | |
207.2.i.d.100.1 | 20 | 3.2 | odd | 2 | |||
207.2.i.d.118.1 | 20 | 69.26 | odd | 22 | |||
1587.2.a.t.1.2 | 10 | 23.7 | odd | 22 | |||
1587.2.a.u.1.2 | 10 | 23.16 | even | 11 | |||
4761.2.a.bt.1.9 | 10 | 69.62 | odd | 22 | |||
4761.2.a.bu.1.9 | 10 | 69.53 | even | 22 |