Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [164,2,Mod(7,164)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(164, base_ring=CyclotomicField(40))
chi = DirichletCharacter(H, H._module([20, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("164.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 164 = 2^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 164.o (of order \(40\), degree \(16\), 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: | \(1.30954659315\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 111.2 | ||
Character | \(\chi\) | \(=\) | 164.111 |
Dual form | 164.2.o.b.99.2 |
$q$-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 \(\left(\mathbb{Z}/164\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(129\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{40}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39799 | − | 0.213623i | −0.988525 | − | 0.151054i | ||||
\(3\) | −1.12890 | − | 0.467604i | −0.651769 | − | 0.269972i | 0.0322014 | − | 0.999481i | \(-0.489748\pi\) |
−0.683970 | + | 0.729510i | \(0.739748\pi\) | |||||||
\(4\) | 1.90873 | + | 0.597285i | 0.954365 | + | 0.298642i | ||||
\(5\) | −0.906832 | + | 0.462054i | −0.405548 | + | 0.206637i | −0.644851 | − | 0.764308i | \(-0.723081\pi\) |
0.239304 | + | 0.970945i | \(0.423081\pi\) | |||||||
\(6\) | 1.47829 | + | 0.894863i | 0.603510 | + | 0.365326i | ||||
\(7\) | 1.47692 | + | 2.41011i | 0.558222 | + | 0.910935i | 0.999905 | + | 0.0137641i | \(0.00438139\pi\) |
−0.441684 | + | 0.897171i | \(0.645619\pi\) | |||||||
\(8\) | −2.54078 | − | 1.24274i | −0.898303 | − | 0.439377i | ||||
\(9\) | −1.06557 | − | 1.06557i | −0.355189 | − | 0.355189i | ||||
\(10\) | 1.36644 | − | 0.452225i | 0.432107 | − | 0.143006i | ||||
\(11\) | 5.44266 | + | 0.428347i | 1.64102 | + | 0.129151i | 0.865075 | − | 0.501643i | \(-0.167271\pi\) |
0.775950 | + | 0.630794i | \(0.217271\pi\) | |||||||
\(12\) | −1.87547 | − | 1.56680i | −0.541401 | − | 0.452297i | ||||
\(13\) | 1.37654 | + | 5.73369i | 0.381783 | + | 1.59024i | 0.750613 | + | 0.660742i | \(0.229758\pi\) |
−0.368830 | + | 0.929497i | \(0.620242\pi\) | |||||||
\(14\) | −1.54985 | − | 3.68480i | −0.414216 | − | 0.984804i | ||||
\(15\) | 1.23978 | − | 0.0975727i | 0.320109 | − | 0.0251931i | ||||
\(16\) | 3.28650 | + | 2.28011i | 0.821626 | + | 0.570028i | ||||
\(17\) | 5.06768 | − | 4.32821i | 1.22909 | − | 1.04975i | 0.232066 | − | 0.972700i | \(-0.425451\pi\) |
0.997028 | − | 0.0770453i | \(-0.0245486\pi\) | |||||||
\(18\) | 1.26202 | + | 1.71728i | 0.297460 | + | 0.404766i | ||||
\(19\) | 3.80095 | + | 0.912526i | 0.871997 | + | 0.209348i | 0.644661 | − | 0.764469i | \(-0.276999\pi\) |
0.227336 | + | 0.973816i | \(0.426999\pi\) | |||||||
\(20\) | −2.00687 | + | 0.340300i | −0.448751 | + | 0.0760933i | ||||
\(21\) | −0.540309 | − | 3.41138i | −0.117905 | − | 0.744423i | ||||
\(22\) | −7.51726 | − | 1.76150i | −1.60269 | − | 0.375554i | ||||
\(23\) | −4.52941 | + | 3.29081i | −0.944448 | + | 0.686182i | −0.949487 | − | 0.313806i | \(-0.898396\pi\) |
0.00503926 | + | 0.999987i | \(0.498396\pi\) | |||||||
\(24\) | 2.28717 | + | 2.59101i | 0.466867 | + | 0.528888i | ||||
\(25\) | −2.33008 | + | 3.20707i | −0.466015 | + | 0.641415i | ||||
\(26\) | −0.699530 | − | 8.30968i | −0.137189 | − | 1.62966i | ||||
\(27\) | 2.10746 | + | 5.08787i | 0.405582 | + | 0.979161i | ||||
\(28\) | 1.37951 | + | 5.48238i | 0.260704 | + | 1.03607i | ||||
\(29\) | 1.13345 | + | 0.968059i | 0.210477 | + | 0.179764i | 0.748437 | − | 0.663206i | \(-0.230805\pi\) |
−0.537960 | + | 0.842970i | \(0.680805\pi\) | |||||||
\(30\) | −1.75404 | − | 0.128440i | −0.320242 | − | 0.0234499i | ||||
\(31\) | −2.34282 | − | 7.21046i | −0.420783 | − | 1.29504i | −0.906975 | − | 0.421185i | \(-0.861614\pi\) |
0.486191 | − | 0.873852i | \(-0.338386\pi\) | |||||||
\(32\) | −4.10740 | − | 3.88964i | −0.726093 | − | 0.687597i | ||||
\(33\) | −5.94391 | − | 3.02857i | −1.03470 | − | 0.527207i | ||||
\(34\) | −8.00916 | + | 4.96820i | −1.37356 | + | 0.852040i | ||||
\(35\) | −2.45291 | − | 1.50315i | −0.414618 | − | 0.254078i | ||||
\(36\) | −1.39743 | − | 2.67032i | −0.232905 | − | 0.445054i | ||||
\(37\) | 0.577596 | − | 1.77766i | 0.0949563 | − | 0.292245i | −0.892286 | − | 0.451471i | \(-0.850900\pi\) |
0.987242 | + | 0.159225i | \(0.0508996\pi\) | |||||||
\(38\) | −5.11873 | − | 2.08767i | −0.830368 | − | 0.338665i | ||||
\(39\) | 1.12713 | − | 7.11642i | 0.180485 | − | 1.13954i | ||||
\(40\) | 2.87828 | − | 0.0470189i | 0.455096 | − | 0.00743434i | ||||
\(41\) | −6.40312 | + | 0.00937645i | −0.999999 | + | 0.00146436i | ||||
\(42\) | 0.0265951 | + | 4.88448i | 0.00410372 | + | 0.753691i | ||||
\(43\) | 0.547861 | + | 0.0867727i | 0.0835481 | + | 0.0132327i | 0.198069 | − | 0.980188i | \(-0.436533\pi\) |
−0.114520 | + | 0.993421i | \(0.536533\pi\) | |||||||
\(44\) | 10.1327 | + | 4.06842i | 1.52757 | + | 0.613337i | ||||
\(45\) | 1.45864 | + | 0.473940i | 0.217441 | + | 0.0706508i | ||||
\(46\) | 7.03505 | − | 3.63292i | 1.03726 | − | 0.535645i | ||||
\(47\) | −1.86886 | + | 3.04969i | −0.272601 | + | 0.444844i | −0.959419 | − | 0.281986i | \(-0.909007\pi\) |
0.686818 | + | 0.726829i | \(0.259007\pi\) | |||||||
\(48\) | −2.64393 | − | 4.11079i | −0.381619 | − | 0.593342i | ||||
\(49\) | −0.449404 | + | 0.882006i | −0.0642006 | + | 0.126001i | ||||
\(50\) | 3.94252 | − | 3.98569i | 0.557556 | − | 0.563661i | ||||
\(51\) | −7.74478 | + | 2.51643i | −1.08449 | + | 0.352371i | ||||
\(52\) | −0.797207 | + | 11.7662i | −0.110553 | + | 1.63169i | ||||
\(53\) | −4.02561 | + | 4.71338i | −0.552960 | + | 0.647433i | −0.964539 | − | 0.263941i | \(-0.914977\pi\) |
0.411579 | + | 0.911374i | \(0.364977\pi\) | |||||||
\(54\) | −1.85932 | − | 7.56297i | −0.253021 | − | 1.02919i | ||||
\(55\) | −5.13350 | + | 2.12637i | −0.692201 | + | 0.286719i | ||||
\(56\) | −0.757376 | − | 7.95899i | −0.101209 | − | 1.06357i | ||||
\(57\) | −3.86417 | − | 2.80749i | −0.511822 | − | 0.371861i | ||||
\(58\) | −1.37775 | − | 1.59546i | −0.180907 | − | 0.209495i | ||||
\(59\) | 0.796244 | + | 1.09594i | 0.103662 | + | 0.142679i | 0.857697 | − | 0.514156i | \(-0.171895\pi\) |
−0.754034 | + | 0.656835i | \(0.771895\pi\) | |||||||
\(60\) | 2.42468 | + | 0.554261i | 0.313025 | + | 0.0715547i | ||||
\(61\) | 8.44013 | − | 1.33679i | 1.08065 | − | 0.171158i | 0.409374 | − | 0.912367i | \(-0.365747\pi\) |
0.671274 | + | 0.741209i | \(0.265747\pi\) | |||||||
\(62\) | 1.73491 | + | 10.5806i | 0.220334 | + | 1.34374i | ||||
\(63\) | 0.994377 | − | 4.14188i | 0.125280 | − | 0.521828i | ||||
\(64\) | 4.91117 | + | 6.31509i | 0.613896 | + | 0.789387i | ||||
\(65\) | −3.89756 | − | 4.56346i | −0.483433 | − | 0.566027i | ||||
\(66\) | 7.66253 | + | 5.50366i | 0.943192 | + | 0.677454i | ||||
\(67\) | −0.660735 | − | 8.39544i | −0.0807217 | − | 1.02567i | −0.895256 | − | 0.445551i | \(-0.853008\pi\) |
0.814535 | − | 0.580115i | \(-0.196992\pi\) | |||||||
\(68\) | 12.2580 | − | 5.23454i | 1.48650 | − | 0.634781i | ||||
\(69\) | 6.65204 | − | 1.59701i | 0.800811 | − | 0.192258i | ||||
\(70\) | 3.10803 | + | 2.62538i | 0.371481 | + | 0.313793i | ||||
\(71\) | −0.307788 | + | 3.91082i | −0.0365277 | + | 0.464129i | 0.951267 | + | 0.308368i | \(0.0997829\pi\) |
−0.987795 | + | 0.155761i | \(0.950217\pi\) | |||||||
\(72\) | 1.38315 | + | 4.03160i | 0.163005 | + | 0.475129i | ||||
\(73\) | 2.33419 | − | 2.33419i | 0.273196 | − | 0.273196i | −0.557189 | − | 0.830385i | \(-0.688120\pi\) |
0.830385 | + | 0.557189i | \(0.188120\pi\) | |||||||
\(74\) | −1.18722 | + | 2.36175i | −0.138012 | + | 0.274548i | ||||
\(75\) | 4.13006 | − | 2.53090i | 0.476898 | − | 0.292243i | ||||
\(76\) | 6.70994 | + | 4.01201i | 0.769683 | + | 0.460209i | ||||
\(77\) | 7.00599 | + | 13.7500i | 0.798407 | + | 1.56696i | ||||
\(78\) | −3.09594 | + | 9.70787i | −0.350547 | + | 1.09920i | ||||
\(79\) | 2.36361 | − | 5.70626i | 0.265927 | − | 0.642004i | −0.733357 | − | 0.679844i | \(-0.762048\pi\) |
0.999284 | + | 0.0378394i | \(0.0120475\pi\) | |||||||
\(80\) | −4.03384 | − | 0.549136i | −0.450997 | − | 0.0613952i | ||||
\(81\) | − | 2.20832i | − | 0.245369i | ||||||
\(82\) | 8.95347 | + | 1.35475i | 0.988746 | + | 0.149607i | ||||
\(83\) | − | 1.36416i | − | 0.149737i | −0.997193 | − | 0.0748683i | \(-0.976146\pi\) | ||
0.997193 | − | 0.0748683i | \(-0.0238536\pi\) | |||||||
\(84\) | 1.00626 | − | 6.83411i | 0.109792 | − | 0.745663i | ||||
\(85\) | −2.59567 | + | 6.26650i | −0.281540 | + | 0.679698i | ||||
\(86\) | −0.747366 | − | 0.238343i | −0.0805905 | − | 0.0257012i | ||||
\(87\) | −0.826881 | − | 1.62285i | −0.0886510 | − | 0.173987i | ||||
\(88\) | −13.2963 | − | 7.85218i | −1.41739 | − | 0.837045i | ||||
\(89\) | 12.4288 | − | 7.61637i | 1.31745 | − | 0.807334i | 0.326975 | − | 0.945033i | \(-0.393971\pi\) |
0.990474 | + | 0.137699i | \(0.0439708\pi\) | |||||||
\(90\) | −1.93791 | − | 0.974161i | −0.204274 | − | 0.102686i | ||||
\(91\) | −11.7858 | + | 11.7858i | −1.23549 | + | 1.23549i | ||||
\(92\) | −10.6110 | + | 3.57592i | −1.10627 | + | 0.372816i | ||||
\(93\) | −0.726840 | + | 9.23538i | −0.0753698 | + | 0.957665i | ||||
\(94\) | 3.26412 | − | 3.86420i | 0.336668 | − | 0.398562i | ||||
\(95\) | −3.86845 | + | 0.928734i | −0.396895 | + | 0.0952861i | ||||
\(96\) | 2.81802 | + | 6.31164i | 0.287613 | + | 0.644179i | ||||
\(97\) | −0.242507 | − | 3.08135i | −0.0246229 | − | 0.312864i | −0.996879 | − | 0.0789446i | \(-0.974845\pi\) |
0.972256 | − | 0.233919i | \(-0.0751550\pi\) | |||||||
\(98\) | 0.816678 | − | 1.13703i | 0.0824969 | − | 0.114857i | ||||
\(99\) | −5.34309 | − | 6.25595i | −0.537000 | − | 0.628747i | ||||
\(100\) | −6.36302 | + | 4.72972i | −0.636302 | + | 0.472972i | ||||
\(101\) | 1.43265 | − | 5.96744i | 0.142554 | − | 0.593782i | −0.854660 | − | 0.519189i | \(-0.826234\pi\) |
0.997214 | − | 0.0745933i | \(-0.0237659\pi\) | |||||||
\(102\) | 11.3647 | − | 1.86347i | 1.12527 | − | 0.184511i | ||||
\(103\) | −1.10695 | + | 0.175323i | −0.109071 | + | 0.0172751i | −0.210731 | − | 0.977544i | \(-0.567584\pi\) |
0.101660 | + | 0.994819i | \(0.467584\pi\) | |||||||
\(104\) | 3.62803 | − | 16.2788i | 0.355757 | − | 1.59626i | ||||
\(105\) | 2.06621 | + | 2.84389i | 0.201641 | + | 0.277535i | ||||
\(106\) | 6.63463 | − | 5.72928i | 0.644412 | − | 0.556477i | ||||
\(107\) | −3.17002 | − | 2.30316i | −0.306458 | − | 0.222655i | 0.423917 | − | 0.905701i | \(-0.360655\pi\) |
−0.730375 | + | 0.683046i | \(0.760655\pi\) | |||||||
\(108\) | 0.983675 | + | 10.9701i | 0.0946542 | + | 1.05560i | ||||
\(109\) | −13.8245 | + | 5.72631i | −1.32415 | + | 0.548481i | −0.928981 | − | 0.370128i | \(-0.879314\pi\) |
−0.395169 | + | 0.918609i | \(0.629314\pi\) | |||||||
\(110\) | 7.63080 | − | 1.87599i | 0.727568 | − | 0.178869i | ||||
\(111\) | −1.48329 | + | 1.73671i | −0.140787 | + | 0.164841i | ||||
\(112\) | −0.641424 | + | 11.2884i | −0.0606089 | + | 1.06665i | ||||
\(113\) | −11.5983 | + | 3.76851i | −1.09108 | + | 0.354512i | −0.798662 | − | 0.601780i | \(-0.794458\pi\) |
−0.292414 | + | 0.956292i | \(0.594458\pi\) | |||||||
\(114\) | 4.80232 | + | 4.75030i | 0.449778 | + | 0.444907i | ||||
\(115\) | 2.58688 | − | 5.07705i | 0.241228 | − | 0.473437i | ||||
\(116\) | 1.58525 | + | 2.52476i | 0.147186 | + | 0.234418i | ||||
\(117\) | 4.64283 | − | 7.57641i | 0.429230 | − | 0.700440i | ||||
\(118\) | −0.879021 | − | 1.70220i | −0.0809204 | − | 0.156700i | ||||
\(119\) | 17.9160 | + | 5.82126i | 1.64236 | + | 0.533634i | ||||
\(120\) | −3.27127 | − | 1.29282i | −0.298624 | − | 0.118017i | ||||
\(121\) | 18.5745 | + | 2.94192i | 1.68859 | + | 0.267447i | ||||
\(122\) | −12.0848 | + | 0.0657994i | −1.09410 | + | 0.00595719i | ||||
\(123\) | 7.23284 | + | 2.98354i | 0.652164 | + | 0.269017i | ||||
\(124\) | −0.165115 | − | 15.1622i | −0.0148278 | − | 1.36160i | ||||
\(125\) | 1.42721 | − | 9.01105i | 0.127654 | − | 0.805973i | ||||
\(126\) | −2.27493 | + | 5.57787i | −0.202667 | + | 0.496916i | ||||
\(127\) | 3.85927 | − | 11.8776i | 0.342455 | − | 1.05397i | −0.620478 | − | 0.784224i | \(-0.713061\pi\) |
0.962932 | − | 0.269743i | \(-0.0869387\pi\) | |||||||
\(128\) | −5.51670 | − | 9.87755i | −0.487612 | − | 0.873061i | ||||
\(129\) | −0.577904 | − | 0.354140i | −0.0508816 | − | 0.0311803i | ||||
\(130\) | 4.47388 | + | 7.21226i | 0.392385 | + | 0.632557i | ||||
\(131\) | −7.42436 | − | 3.78290i | −0.648669 | − | 0.330513i | 0.0985100 | − | 0.995136i | \(-0.468592\pi\) |
−0.747179 | + | 0.664623i | \(0.768592\pi\) | |||||||
\(132\) | −9.53640 | − | 9.33093i | −0.830037 | − | 0.812154i | ||||
\(133\) | 3.41439 | + | 10.5084i | 0.296065 | + | 0.911195i | ||||
\(134\) | −0.869762 | + | 11.8779i | −0.0751360 | + | 1.02609i | ||||
\(135\) | −4.26198 | − | 3.64008i | −0.366813 | − | 0.313288i | ||||
\(136\) | −18.2548 | + | 4.69921i | −1.56533 | + | 0.402954i | ||||
\(137\) | −4.24185 | − | 10.2407i | −0.362406 | − | 0.874924i | −0.994947 | − | 0.100398i | \(-0.967988\pi\) |
0.632542 | − | 0.774526i | \(-0.282012\pi\) | |||||||
\(138\) | −9.64062 | + | 0.811572i | −0.820664 | + | 0.0690856i | ||||
\(139\) | −3.43733 | + | 4.73108i | −0.291551 | + | 0.401285i | −0.929517 | − | 0.368779i | \(-0.879776\pi\) |
0.637966 | + | 0.770064i | \(0.279776\pi\) | |||||||
\(140\) | −3.78414 | − | 4.33419i | −0.319819 | − | 0.366306i | ||||
\(141\) | 3.53580 | − | 2.56891i | 0.297768 | − | 0.216341i | ||||
\(142\) | 1.26573 | − | 5.40152i | 0.106217 | − | 0.453286i | ||||
\(143\) | 5.03602 | + | 31.7962i | 0.421133 | + | 2.65893i | ||||
\(144\) | −1.07238 | − | 5.93159i | −0.0893647 | − | 0.494299i | ||||
\(145\) | −1.47515 | − | 0.354151i | −0.122504 | − | 0.0294106i | ||||
\(146\) | −3.76180 | + | 2.76453i | −0.311329 | + | 0.228794i | ||||
\(147\) | 0.919761 | − | 0.785550i | 0.0758606 | − | 0.0647911i | ||||
\(148\) | 2.16424 | − | 3.04808i | 0.177900 | − | 0.250551i | ||||
\(149\) | −14.2165 | + | 1.11886i | −1.16466 | + | 0.0916606i | −0.646011 | − | 0.763328i | \(-0.723564\pi\) |
−0.518647 | + | 0.854989i | \(0.673564\pi\) | |||||||
\(150\) | −6.31442 | + | 2.65589i | −0.515570 | + | 0.216853i | ||||
\(151\) | 0.497557 | + | 2.07247i | 0.0404906 | + | 0.168656i | 0.988952 | − | 0.148238i | \(-0.0473602\pi\) |
−0.948461 | + | 0.316894i | \(0.897360\pi\) | |||||||
\(152\) | −8.52335 | − | 7.04214i | −0.691335 | − | 0.571193i | ||||
\(153\) | −10.0119 | − | 0.787957i | −0.809418 | − | 0.0637026i | ||||
\(154\) | −6.85695 | − | 20.7190i | −0.552549 | − | 1.66958i | ||||
\(155\) | 5.45617 | + | 5.45617i | 0.438250 | + | 0.438250i | ||||
\(156\) | 6.40191 | − | 12.9101i | 0.512563 | − | 1.03364i | ||||
\(157\) | −1.23688 | − | 2.01841i | −0.0987140 | − | 0.161087i | 0.799470 | − | 0.600705i | \(-0.205114\pi\) |
−0.898184 | + | 0.439619i | \(0.855114\pi\) | |||||||
\(158\) | −4.52328 | + | 7.47235i | −0.359853 | + | 0.594468i | ||||
\(159\) | 6.74849 | − | 3.43853i | 0.535190 | − | 0.272693i | ||||
\(160\) | 5.52194 | + | 1.62941i | 0.436548 | + | 0.128816i | ||||
\(161\) | −14.6208 | − | 6.05612i | −1.15228 | − | 0.477289i | ||||
\(162\) | −0.471749 | + | 3.08721i | −0.0370641 | + | 0.242554i | ||||
\(163\) | 4.47340 | 0.350384 | 0.175192 | − | 0.984534i | \(-0.443945\pi\) | ||||
0.175192 | + | 0.984534i | \(0.443945\pi\) | |||||||
\(164\) | −12.2274 | − | 3.80659i | −0.954801 | − | 0.297244i | ||||
\(165\) | 6.78949 | 0.528561 | ||||||||
\(166\) | −0.291417 | + | 1.90708i | −0.0226184 | + | 0.148018i | ||||
\(167\) | 13.6855 | + | 5.66873i | 1.05902 | + | 0.438659i | 0.843103 | − | 0.537753i | \(-0.180727\pi\) |
0.215915 | + | 0.976412i | \(0.430727\pi\) | |||||||
\(168\) | −2.86666 | + | 9.33903i | −0.221168 | + | 0.720522i | ||||
\(169\) | −19.3972 | + | 9.88339i | −1.49210 | + | 0.760261i | ||||
\(170\) | 4.96738 | − | 8.20599i | 0.380981 | − | 0.629370i | ||||
\(171\) | −3.07780 | − | 5.02251i | −0.235365 | − | 0.384081i | ||||
\(172\) | 0.993891 | + | 0.492855i | 0.0757835 | + | 0.0375798i | ||||
\(173\) | −4.59958 | − | 4.59958i | −0.349699 | − | 0.349699i | 0.510298 | − | 0.859998i | \(-0.329535\pi\) |
−0.859998 | + | 0.510298i | \(0.829535\pi\) | |||||||
\(174\) | 0.809291 | + | 2.44536i | 0.0613522 | + | 0.185382i | ||||
\(175\) | −11.1707 | − | 0.879155i | −0.844427 | − | 0.0664579i | ||||
\(176\) | 16.9106 | + | 13.8176i | 1.27469 | + | 1.04154i | ||||
\(177\) | −0.386413 | − | 1.60953i | −0.0290446 | − | 0.120979i | ||||
\(178\) | −19.0023 | + | 7.99250i | −1.42428 | + | 0.599063i | ||||
\(179\) | 9.33343 | − | 0.734557i | 0.697613 | − | 0.0549033i | 0.275307 | − | 0.961356i | \(-0.411221\pi\) |
0.422306 | + | 0.906453i | \(0.361221\pi\) | |||||||
\(180\) | 2.50107 | + | 1.77585i | 0.186419 | + | 0.132364i | ||||
\(181\) | 10.8703 | − | 9.28415i | 0.807986 | − | 0.690085i | −0.146215 | − | 0.989253i | \(-0.546709\pi\) |
0.954201 | + | 0.299168i | \(0.0967090\pi\) | |||||||
\(182\) | 18.9941 | − | 13.9586i | 1.40793 | − | 1.03468i | ||||
\(183\) | −10.1531 | − | 2.43755i | −0.750541 | − | 0.180189i | ||||
\(184\) | 15.5979 | − | 2.73234i | 1.14989 | − | 0.201431i | ||||
\(185\) | 0.297591 | + | 1.87892i | 0.0218794 | + | 0.138141i | ||||
\(186\) | 2.98901 | − | 12.7557i | 0.219165 | − | 0.935291i | ||||
\(187\) | 29.4357 | − | 21.3863i | 2.15255 | − | 1.56392i | ||||
\(188\) | −5.38868 | + | 4.70481i | −0.393010 | + | 0.343133i | ||||
\(189\) | −9.14976 | + | 12.5936i | −0.665547 | + | 0.916047i | ||||
\(190\) | 5.60644 | − | 0.471965i | 0.406734 | − | 0.0342399i | ||||
\(191\) | 5.25896 | + | 12.6963i | 0.380525 | + | 0.918669i | 0.991864 | + | 0.127300i | \(0.0406311\pi\) |
−0.611339 | + | 0.791369i | \(0.709369\pi\) | |||||||
\(192\) | −2.59124 | − | 9.42557i | −0.187007 | − | 0.680232i | ||||
\(193\) | −12.4327 | − | 10.6185i | −0.894923 | − | 0.764337i | 0.0776385 | − | 0.996982i | \(-0.475262\pi\) |
−0.972562 | + | 0.232645i | \(0.925262\pi\) | |||||||
\(194\) | −0.319226 | + | 4.35949i | −0.0229191 | + | 0.312993i | ||||
\(195\) | 2.26605 | + | 6.97419i | 0.162275 | + | 0.499432i | ||||
\(196\) | −1.38460 | + | 1.41509i | −0.0989000 | + | 0.101078i | ||||
\(197\) | 7.72424 | + | 3.93570i | 0.550329 | + | 0.280407i | 0.706964 | − | 0.707250i | \(-0.250064\pi\) |
−0.156634 | + | 0.987657i | \(0.550064\pi\) | |||||||
\(198\) | 6.13314 | + | 9.88714i | 0.435864 | + | 0.702648i | ||||
\(199\) | 4.00709 | + | 2.45555i | 0.284055 | + | 0.174069i | 0.657226 | − | 0.753693i | \(-0.271730\pi\) |
−0.373171 | + | 0.927763i | \(0.621730\pi\) | |||||||
\(200\) | 9.90580 | − | 5.25280i | 0.700446 | − | 0.371429i | ||||
\(201\) | −3.17984 | + | 9.78655i | −0.224289 | + | 0.690290i | ||||
\(202\) | −3.27761 | + | 8.03634i | −0.230612 | + | 0.565435i | ||||
\(203\) | −0.659114 | + | 4.16148i | −0.0462607 | + | 0.292079i | ||||
\(204\) | −16.2857 | + | 0.177351i | −1.14023 | + | 0.0124171i | ||||
\(205\) | 5.80222 | − | 2.96709i | 0.405244 | − | 0.207230i | ||||
\(206\) | 1.58495 | − | 0.00862977i | 0.110429 | − | 0.000601265i | ||||
\(207\) | 8.33297 | + | 1.31981i | 0.579181 | + | 0.0917333i | ||||
\(208\) | −8.54945 | + | 21.9824i | −0.592798 | + | 1.52421i | ||||
\(209\) | 20.2964 | + | 6.59470i | 1.40393 | + | 0.456165i | ||||
\(210\) | −2.28101 | − | 4.41711i | −0.157405 | − | 0.304810i | ||||
\(211\) | −13.1292 | + | 21.4250i | −0.903854 | + | 1.47496i | −0.0240003 | + | 0.999712i | \(0.507640\pi\) |
−0.879854 | + | 0.475244i | \(0.842360\pi\) | |||||||
\(212\) | −10.4990 | + | 6.59214i | −0.721076 | + | 0.452750i | ||||
\(213\) | 2.17618 | − | 4.27099i | 0.149109 | − | 0.292643i | ||||
\(214\) | 3.93964 | + | 3.89697i | 0.269308 | + | 0.266392i | ||||
\(215\) | −0.536912 | + | 0.174453i | −0.0366171 | + | 0.0118976i | ||||
\(216\) | 0.968310 | − | 15.5462i | 0.0658851 | − | 1.05779i | ||||
\(217\) | 13.9178 | − | 16.2957i | 0.944805 | − | 1.10622i | ||||
\(218\) | 20.5498 | − | 5.05206i | 1.39181 | − | 0.342168i | ||||
\(219\) | −3.72653 | + | 1.54358i | −0.251816 | + | 0.104306i | ||||
\(220\) | −11.0685 | + | 0.992497i | −0.746239 | + | 0.0669141i | ||||
\(221\) | 31.7925 | + | 23.0986i | 2.13859 | + | 1.55378i | ||||
\(222\) | 2.44462 | − | 2.11103i | 0.164072 | − | 0.141683i | ||||
\(223\) | −16.7244 | − | 23.0192i | −1.11995 | − | 1.54148i | −0.805880 | − | 0.592079i | \(-0.798307\pi\) |
−0.314070 | − | 0.949400i | \(-0.601693\pi\) | |||||||
\(224\) | 3.30816 | − | 15.6439i | 0.221036 | − | 1.04525i | ||||
\(225\) | 5.90020 | − | 0.934500i | 0.393347 | − | 0.0623000i | ||||
\(226\) | 17.0193 | − | 2.79066i | 1.13211 | − | 0.185632i | ||||
\(227\) | −2.51074 | + | 10.4580i | −0.166644 | + | 0.694121i | 0.825002 | + | 0.565130i | \(0.191174\pi\) |
−0.991646 | + | 0.128991i | \(0.958826\pi\) | |||||||
\(228\) | −5.69880 | − | 7.66675i | −0.377412 | − | 0.507743i | ||||
\(229\) | 4.53311 | + | 5.30759i | 0.299556 | + | 0.350736i | 0.889686 | − | 0.456573i | \(-0.150923\pi\) |
−0.590129 | + | 0.807309i | \(0.700923\pi\) | |||||||
\(230\) | −4.70100 | + | 6.54502i | −0.309975 | + | 0.431566i | ||||
\(231\) | −1.47947 | − | 18.7984i | −0.0973418 | − | 1.23684i | ||||
\(232\) | −1.67681 | − | 3.86822i | −0.110088 | − | 0.253961i | ||||
\(233\) | 11.0506 | − | 2.65300i | 0.723946 | − | 0.173804i | 0.145305 | − | 0.989387i | \(-0.453584\pi\) |
0.578640 | + | 0.815583i | \(0.303584\pi\) | |||||||
\(234\) | −8.10911 | + | 9.59991i | −0.530109 | + | 0.627565i | ||||
\(235\) | 0.285614 | − | 3.62907i | 0.0186314 | − | 0.236735i | ||||
\(236\) | 0.865230 | + | 2.56743i | 0.0563217 | + | 0.167126i | ||||
\(237\) | −5.33654 | + | 5.33654i | −0.346646 | + | 0.346646i | ||||
\(238\) | −23.8028 | − | 11.9653i | −1.54290 | − | 0.775596i | ||||
\(239\) | −3.30830 | + | 2.02733i | −0.213996 | + | 0.131137i | −0.625366 | − | 0.780331i | \(-0.715050\pi\) |
0.411370 | + | 0.911468i | \(0.365050\pi\) | |||||||
\(240\) | 4.29701 | + | 2.50616i | 0.277371 | + | 0.161772i | ||||
\(241\) | −8.44434 | − | 16.5730i | −0.543948 | − | 1.06756i | −0.985397 | − | 0.170272i | \(-0.945536\pi\) |
0.441449 | − | 0.897286i | \(-0.354464\pi\) | |||||||
\(242\) | −25.3385 | − | 8.08071i | −1.62882 | − | 0.519448i | ||||
\(243\) | 5.28977 | − | 12.7706i | 0.339339 | − | 0.819237i | ||||
\(244\) | 16.9084 | + | 2.48960i | 1.08245 | + | 0.159380i | ||||
\(245\) | − | 1.00748i | − | 0.0643655i | ||||||
\(246\) | −9.47406 | − | 5.71605i | −0.604044 | − | 0.364442i | ||||
\(247\) | 23.0496i | 1.46661i | ||||||||
\(248\) | −3.00816 | + | 21.2318i | −0.191018 | + | 1.34822i | ||||
\(249\) | −0.637890 | + | 1.54000i | −0.0404246 | + | 0.0975936i | ||||
\(250\) | −3.92019 | + | 12.2924i | −0.247935 | + | 0.777442i | ||||
\(251\) | −3.04158 | − | 5.96944i | −0.191983 | − | 0.376788i | 0.774870 | − | 0.632120i | \(-0.217815\pi\) |
−0.966853 | + | 0.255332i | \(0.917815\pi\) | |||||||
\(252\) | 4.37188 | − | 7.31180i | 0.275403 | − | 0.460600i | ||||
\(253\) | −26.0617 | + | 15.9706i | −1.63848 | + | 1.00406i | ||||
\(254\) | −7.93253 | + | 15.7803i | −0.497732 | + | 0.990144i | ||||
\(255\) | 5.86049 | − | 5.86049i | 0.366998 | − | 0.366998i | ||||
\(256\) | 5.60219 | + | 14.9872i | 0.350137 | + | 0.936698i | ||||
\(257\) | 0.0236599 | − | 0.300627i | 0.00147586 | − | 0.0187526i | −0.996135 | − | 0.0878319i | \(-0.972006\pi\) |
0.997611 | + | 0.0690793i | \(0.0220062\pi\) | |||||||
\(258\) | 0.732249 | + | 0.618536i | 0.0455878 | + | 0.0385084i | ||||
\(259\) | 5.13741 | − | 1.23338i | 0.319223 | − | 0.0766387i | ||||
\(260\) | −4.71371 | − | 11.0384i | −0.292332 | − | 0.684570i | ||||
\(261\) | −0.176237 | − | 2.23930i | −0.0109088 | − | 0.138609i | ||||
\(262\) | 9.57104 | + | 6.87446i | 0.591301 | + | 0.424705i | ||||
\(263\) | −14.5572 | − | 17.0443i | −0.897637 | − | 1.05100i | −0.998426 | − | 0.0560899i | \(-0.982137\pi\) |
0.100789 | − | 0.994908i | \(-0.467863\pi\) | |||||||
\(264\) | 11.3384 | + | 15.0817i | 0.697833 | + | 0.928215i | ||||
\(265\) | 1.47271 | − | 6.13429i | 0.0904680 | − | 0.376827i | ||||
\(266\) | −2.52843 | − | 15.4200i | −0.155028 | − | 0.945461i | ||||
\(267\) | −17.5923 | + | 2.78634i | −1.07663 | + | 0.170521i | ||||
\(268\) | 3.75330 | − | 16.4193i | 0.229269 | − | 1.00297i | ||||
\(269\) | −1.58745 | − | 2.18493i | −0.0967884 | − | 0.133218i | 0.757876 | − | 0.652399i | \(-0.226237\pi\) |
−0.854664 | + | 0.519181i | \(0.826237\pi\) | |||||||
\(270\) | 5.18059 | + | 5.99924i | 0.315281 | + | 0.365102i | ||||
\(271\) | 1.41012 | + | 1.02451i | 0.0856588 | + | 0.0622347i | 0.629790 | − | 0.776765i | \(-0.283141\pi\) |
−0.544132 | + | 0.839000i | \(0.683141\pi\) | |||||||
\(272\) | 26.5238 | − | 2.66980i | 1.60824 | − | 0.161880i | ||||
\(273\) | 18.8160 | − | 7.79385i | 1.13880 | − | 0.471705i | ||||
\(274\) | 3.74239 | + | 15.2226i | 0.226086 | + | 0.919628i | ||||
\(275\) | −14.0556 | + | 16.4569i | −0.847582 | + | 0.992391i | ||||
\(276\) | 13.6508 | + | 0.924893i | 0.821683 | + | 0.0556720i | ||||
\(277\) | 6.90537 | − | 2.24369i | 0.414903 | − | 0.134810i | −0.0941244 | − | 0.995560i | \(-0.530005\pi\) |
0.509028 | + | 0.860750i | \(0.330005\pi\) | |||||||
\(278\) | 5.81601 | − | 5.87969i | 0.348821 | − | 0.352641i | ||||
\(279\) | −5.18679 | + | 10.1797i | −0.310525 | + | 0.609440i | ||||
\(280\) | 4.36430 | + | 6.86752i | 0.260817 | + | 0.410413i | ||||
\(281\) | −16.8454 | + | 27.4893i | −1.00492 | + | 1.63987i | −0.268578 | + | 0.963258i | \(0.586554\pi\) |
−0.736337 | + | 0.676615i | \(0.763446\pi\) | |||||||
\(282\) | −5.49177 | + | 2.83597i | −0.327030 | + | 0.168879i | ||||
\(283\) | 6.52964 | + | 2.12161i | 0.388147 | + | 0.126117i | 0.496588 | − | 0.867986i | \(-0.334586\pi\) |
−0.108441 | + | 0.994103i | \(0.534586\pi\) | |||||||
\(284\) | −2.92336 | + | 7.28086i | −0.173469 | + | 0.432040i | ||||
\(285\) | 4.80137 | + | 0.760462i | 0.284408 | + | 0.0450459i | ||||
\(286\) | −0.247883 | − | 45.5264i | −0.0146576 | − | 2.69203i | ||||
\(287\) | −9.47946 | − | 15.4184i | −0.559555 | − | 0.910117i | ||||
\(288\) | 0.232042 | + | 8.52137i | 0.0136732 | + | 0.502127i | ||||
\(289\) | 4.28862 | − | 27.0773i | 0.252272 | − | 1.59278i | ||||
\(290\) | 1.98658 | + | 0.810224i | 0.116656 | + | 0.0475780i | ||||
\(291\) | −1.16709 | + | 3.59192i | −0.0684158 | + | 0.210562i | ||||
\(292\) | 5.84951 | − | 3.06116i | 0.342317 | − | 0.179141i | ||||
\(293\) | −9.65090 | − | 5.91408i | −0.563812 | − | 0.345504i | 0.211208 | − | 0.977441i | \(-0.432260\pi\) |
−0.775020 | + | 0.631937i | \(0.782260\pi\) | |||||||
\(294\) | −1.45362 | + | 0.901706i | −0.0847771 | + | 0.0525885i | ||||
\(295\) | −1.22844 | − | 0.625922i | −0.0715226 | − | 0.0364426i | ||||
\(296\) | −3.67672 | + | 3.79884i | −0.213705 | + | 0.220803i | ||||
\(297\) | 9.29085 | + | 28.5943i | 0.539110 | + | 1.65921i | ||||
\(298\) | 20.1134 | + | 1.47282i | 1.16514 | + | 0.0853179i | ||||
\(299\) | −25.1034 | − | 21.4403i | −1.45177 | − | 1.23993i | ||||
\(300\) | 9.39484 | − | 2.36399i | 0.542411 | − | 0.136485i | ||||
\(301\) | 0.600013 | + | 1.44856i | 0.0345842 | + | 0.0834936i | ||||
\(302\) | −0.252849 | − | 3.00358i | −0.0145498 | − | 0.172837i | ||||
\(303\) | −4.40772 | + | 6.06670i | −0.253217 | + | 0.348523i | ||||
\(304\) | 10.4112 | + | 11.6656i | 0.597121 | + | 0.669068i | ||||
\(305\) | −7.03611 | + | 5.11204i | −0.402887 | + | 0.292714i | ||||
\(306\) | 13.8282 | + | 3.24034i | 0.790508 | + | 0.185238i | ||||
\(307\) | −1.27461 | − | 8.04760i | −0.0727461 | − | 0.459301i | −0.996992 | − | 0.0775033i | \(-0.975305\pi\) |
0.924246 | − | 0.381798i | \(-0.124695\pi\) | |||||||
\(308\) | 5.15987 | + | 30.4297i | 0.294011 | + | 1.73389i | ||||
\(309\) | 1.33161 | + | 0.319692i | 0.0757527 | + | 0.0181866i | ||||
\(310\) | −6.46208 | − | 8.79321i | −0.367022 | − | 0.499421i | ||||
\(311\) | 11.5688 | − | 9.88072i | 0.656009 | − | 0.560284i | −0.257916 | − | 0.966167i | \(-0.583036\pi\) |
0.913925 | + | 0.405883i | \(0.133036\pi\) | |||||||
\(312\) | −11.7077 | + | 16.6805i | −0.662817 | + | 0.944350i | ||||
\(313\) | 4.19940 | − | 0.330500i | 0.237364 | − | 0.0186809i | 0.0407808 | − | 0.999168i | \(-0.487015\pi\) |
0.196583 | + | 0.980487i | \(0.437015\pi\) | |||||||
\(314\) | 1.29797 | + | 3.08594i | 0.0732485 | + | 0.174149i | ||||
\(315\) | 1.01204 | + | 4.21544i | 0.0570219 | + | 0.237513i | ||||
\(316\) | 7.91976 | − | 9.47996i | 0.445521 | − | 0.533290i | ||||
\(317\) | 6.22376 | + | 0.489820i | 0.349561 | + | 0.0275110i | 0.252024 | − | 0.967721i | \(-0.418904\pi\) |
0.0975366 | + | 0.995232i | \(0.468904\pi\) | |||||||
\(318\) | −10.1689 | + | 3.36538i | −0.570241 | + | 0.188721i | ||||
\(319\) | 5.75433 | + | 5.75433i | 0.322181 | + | 0.322181i | ||||
\(320\) | −7.37152 | − | 3.45750i | −0.412080 | − | 0.193280i | ||||
\(321\) | 2.50166 | + | 4.08235i | 0.139629 | + | 0.227854i | ||||
\(322\) | 19.1459 | + | 11.5897i | 1.06696 | + | 0.645869i | ||||
\(323\) | 23.2116 | − | 11.8269i | 1.29153 | − | 0.658066i | ||||
\(324\) | 1.31900 | − | 4.21510i | 0.0732777 | − | 0.234172i | ||||
\(325\) | −21.5958 | − | 8.94527i | −1.19792 | − | 0.496195i | ||||
\(326\) | −6.25375 | − | 0.955622i | −0.346363 | − | 0.0529270i | ||||
\(327\) | 18.2841 | 1.01111 | ||||||||
\(328\) | 16.2806 | + | 7.93362i | 0.898945 | + | 0.438061i | ||||
\(329\) | −10.1102 | −0.557395 | ||||||||
\(330\) | −9.49161 | − | 1.45039i | −0.522496 | − | 0.0798415i | ||||
\(331\) | −29.5740 | − | 12.2500i | −1.62554 | − | 0.673319i | −0.630815 | − | 0.775933i | \(-0.717279\pi\) |
−0.994721 | + | 0.102614i | \(0.967279\pi\) | |||||||
\(332\) | 0.814795 | − | 2.60382i | 0.0447177 | − | 0.142903i | ||||
\(333\) | −2.50968 | + | 1.27875i | −0.137530 | + | 0.0700748i | ||||
\(334\) | −17.9212 | − | 10.8484i | −0.980604 | − | 0.593595i | ||||
\(335\) | 4.47832 | + | 7.30796i | 0.244677 | + | 0.399276i | ||||
\(336\) | 6.00259 | − | 12.4435i | 0.327468 | − | 0.678846i | ||||
\(337\) | −11.3377 | − | 11.3377i | −0.617603 | − | 0.617603i | 0.327313 | − | 0.944916i | \(-0.393857\pi\) |
−0.944916 | + | 0.327313i | \(0.893857\pi\) | |||||||
\(338\) | 29.2284 | − | 9.67314i | 1.58982 | − | 0.526149i | ||||
\(339\) | 14.8554 | + | 1.16915i | 0.806837 | + | 0.0634995i | ||||
\(340\) | −8.69732 | + | 10.4107i | −0.471678 | + | 0.564600i | ||||
\(341\) | −9.66261 | − | 40.2477i | −0.523260 | − | 2.17953i | ||||
\(342\) | 3.22980 | + | 7.67890i | 0.174647 | + | 0.415227i | ||||
\(343\) | 16.9360 | − | 1.33289i | 0.914460 | − | 0.0719695i | ||||
\(344\) | −1.28416 | − | 0.901322i | −0.0692373 | − | 0.0485960i | ||||
\(345\) | −5.29437 | + | 4.52182i | −0.285040 | + | 0.243447i | ||||
\(346\) | 5.44757 | + | 7.41272i | 0.292863 | + | 0.398510i | ||||
\(347\) | 18.6436 | + | 4.47594i | 1.00084 | + | 0.240281i | 0.700578 | − | 0.713576i | \(-0.252925\pi\) |
0.300263 | + | 0.953856i | \(0.402925\pi\) | |||||||
\(348\) | −0.608992 | − | 3.59146i | −0.0326454 | − | 0.192522i | ||||
\(349\) | 0.501141 | + | 3.16408i | 0.0268255 | + | 0.169369i | 0.997464 | − | 0.0711737i | \(-0.0226745\pi\) |
−0.970638 | + | 0.240543i | \(0.922674\pi\) | |||||||
\(350\) | 15.4287 | + | 3.61537i | 0.824699 | + | 0.193250i | ||||
\(351\) | −26.2713 | + | 19.0872i | −1.40226 | + | 1.01880i | ||||
\(352\) | −20.6891 | − | 22.9294i | −1.10273 | − | 1.22214i | ||||
\(353\) | −3.64615 | + | 5.01850i | −0.194065 | + | 0.267108i | −0.894950 | − | 0.446167i | \(-0.852789\pi\) |
0.700885 | + | 0.713275i | \(0.252789\pi\) | |||||||
\(354\) | 0.196368 | + | 2.33264i | 0.0104368 | + | 0.123979i | ||||
\(355\) | −1.52790 | − | 3.68867i | −0.0810924 | − | 0.195774i | ||||
\(356\) | 28.2723 | − | 7.11407i | 1.49843 | − | 0.377045i | ||||
\(357\) | −17.5033 | − | 14.9492i | −0.926371 | − | 0.791196i | ||||
\(358\) | −13.2049 | − | 0.966937i | −0.697902 | − | 0.0511042i | ||||
\(359\) | −2.17051 | − | 6.68013i | −0.114555 | − | 0.352564i | 0.877299 | − | 0.479944i | \(-0.159343\pi\) |
−0.991854 | + | 0.127380i | \(0.959343\pi\) | |||||||
\(360\) | −3.11710 | − | 3.01689i | −0.164286 | − | 0.159004i | ||||
\(361\) | −3.31464 | − | 1.68890i | −0.174455 | − | 0.0888892i | ||||
\(362\) | −17.1799 | + | 10.6569i | −0.902955 | + | 0.560117i | ||||
\(363\) | −19.5931 | − | 12.0067i | −1.02837 | − | 0.630186i | ||||
\(364\) | −29.5353 | + | 15.4564i | −1.54807 | + | 0.810136i | ||||
\(365\) | −1.03820 | + | 3.19524i | −0.0543416 | + | 0.167246i | ||||
\(366\) | 13.6732 | + | 5.57660i | 0.714710 | + | 0.291494i | ||||
\(367\) | 3.71575 | − | 23.4603i | 0.193961 | − | 1.22462i | −0.678007 | − | 0.735056i | \(-0.737156\pi\) |
0.871968 | − | 0.489564i | \(-0.162844\pi\) | |||||||
\(368\) | −22.3893 | + | 0.487696i | −1.16713 | + | 0.0254229i | ||||
\(369\) | 6.83294 | + | 6.81295i | 0.355708 | + | 0.354668i | ||||
\(370\) | −0.0146481 | − | 2.69027i | −0.000761517 | − | 0.139861i | ||||
\(371\) | −17.3052 | − | 2.74088i | −0.898443 | − | 0.142299i | ||||
\(372\) | −6.90350 | + | 17.1937i | −0.357930 | + | 0.891453i | ||||
\(373\) | −1.84959 | − | 0.600968i | −0.0957682 | − | 0.0311170i | 0.260741 | − | 0.965409i | \(-0.416033\pi\) |
−0.356509 | + | 0.934292i | \(0.616033\pi\) | |||||||
\(374\) | −45.7193 | + | 23.6096i | −2.36409 | + | 1.22082i | ||||
\(375\) | −5.82478 | + | 9.50518i | −0.300790 | + | 0.490845i | ||||
\(376\) | 8.53835 | − | 5.42611i | 0.440332 | − | 0.279830i | ||||
\(377\) | −3.99031 | + | 7.83143i | −0.205512 | + | 0.403339i | ||||
\(378\) | 15.4815 | − | 15.6510i | 0.796283 | − | 0.805002i | ||||
\(379\) | −23.8054 | + | 7.73484i | −1.22280 | + | 0.397312i | −0.848101 | − | 0.529834i | \(-0.822254\pi\) |
−0.374700 | + | 0.927146i | \(0.622254\pi\) | |||||||
\(380\) | −7.93855 | − | 0.537866i | −0.407239 | − | 0.0275920i | ||||
\(381\) | −9.91074 | + | 11.6040i | −0.507742 | + | 0.594490i | ||||
\(382\) | −4.63974 | − | 18.8726i | −0.237390 | − | 0.965607i | ||||
\(383\) | −10.2887 | + | 4.26172i | −0.525728 | + | 0.217764i | −0.629731 | − | 0.776813i | \(-0.716835\pi\) |
0.104003 | + | 0.994577i | \(0.466835\pi\) | |||||||
\(384\) | 1.60900 | + | 13.7304i | 0.0821088 | + | 0.700675i | ||||
\(385\) | −12.7065 | − | 9.23182i | −0.647584 | − | 0.470497i | ||||
\(386\) | 15.1123 | + | 17.5004i | 0.769198 | + | 0.890748i | ||||
\(387\) | −0.491320 | − | 0.676244i | −0.0249752 | − | 0.0343754i | ||||
\(388\) | 1.37756 | − | 6.02631i | 0.0699351 | − | 0.305940i | ||||
\(389\) | 8.63099 | − | 1.36701i | 0.437609 | − | 0.0693104i | 0.0662567 | − | 0.997803i | \(-0.478894\pi\) |
0.371352 | + | 0.928492i | \(0.378894\pi\) | |||||||
\(390\) | −1.67806 | − | 10.2339i | −0.0849718 | − | 0.518214i | ||||
\(391\) | −8.71031 | + | 36.2810i | −0.440499 | + | 1.83481i | ||||
\(392\) | 2.23795 | − | 1.68249i | 0.113033 | − | 0.0849786i | ||||
\(393\) | 6.61244 | + | 7.74217i | 0.333553 | + | 0.390541i | ||||
\(394\) | −9.95763 | − | 7.15213i | −0.501658 | − | 0.360319i | ||||
\(395\) | 0.493203 | + | 6.26673i | 0.0248157 | + | 0.315314i | ||||
\(396\) | −6.46193 | − | 15.1323i | −0.324724 | − | 0.760425i | ||||
\(397\) | 29.0273 | − | 6.96884i | 1.45684 | − | 0.349756i | 0.573776 | − | 0.819012i | \(-0.305478\pi\) |
0.883062 | + | 0.469256i | \(0.155478\pi\) | |||||||
\(398\) | −5.07730 | − | 4.28883i | −0.254502 | − | 0.214980i | ||||
\(399\) | 1.05929 | − | 13.4595i | 0.0530306 | − | 0.673818i | ||||
\(400\) | −14.9703 | + | 5.22723i | −0.748514 | + | 0.261361i | ||||
\(401\) | 13.9830 | − | 13.9830i | 0.698277 | − | 0.698277i | −0.265762 | − | 0.964039i | \(-0.585623\pi\) |
0.964039 | + | 0.265762i | \(0.0856234\pi\) | |||||||
\(402\) | 6.53601 | − | 13.0022i | 0.325986 | − | 0.648489i | ||||
\(403\) | 38.1176 | − | 23.3585i | 1.89877 | − | 1.16357i | ||||
\(404\) | 6.29881 | − | 10.5345i | 0.313377 | − | 0.524112i | ||||
\(405\) | 1.02036 | + | 2.00258i | 0.0507023 | + | 0.0995089i | ||||
\(406\) | 1.81042 | − | 5.67689i | 0.0898497 | − | 0.281739i | ||||
\(407\) | 3.90512 | − | 9.42779i | 0.193569 | − | 0.467318i | ||||
\(408\) | 22.8051 | + | 3.23108i | 1.12902 | + | 0.159962i | ||||
\(409\) | 15.7412i | 0.778353i | 0.921163 | + | 0.389176i | \(0.127240\pi\) | ||||
−0.921163 | + | 0.389176i | \(0.872760\pi\) | |||||||
\(410\) | −8.74526 | + | 2.90846i | −0.431898 | + | 0.143639i | ||||
\(411\) | 13.5442i | 0.668088i | ||||||||
\(412\) | −2.21758 | − | 0.326518i | −0.109252 | − | 0.0160864i | ||||
\(413\) | −1.46534 | + | 3.53764i | −0.0721046 | + | 0.174076i | ||||
\(414\) | −11.3674 | − | 3.62519i | −0.558679 | − | 0.178169i | ||||
\(415\) | 0.630318 | + | 1.23707i | 0.0309411 | + | 0.0607253i | ||||
\(416\) | 16.6480 | − | 28.9048i | 0.816234 | − | 1.41717i | ||||
\(417\) | 6.09267 | − | 3.73359i | 0.298359 | − | 0.182835i | ||||
\(418\) | −26.9653 | − | 13.5551i | −1.31892 | − | 0.663000i | ||||
\(419\) | −13.2926 | + | 13.2926i | −0.649385 | + | 0.649385i | −0.952844 | − | 0.303459i | \(-0.901858\pi\) |
0.303459 | + | 0.952844i | \(0.401858\pi\) | |||||||
\(420\) | 2.24522 | + | 6.66234i | 0.109556 | + | 0.325089i | ||||
\(421\) | −1.35727 | + | 17.2458i | −0.0661495 | + | 0.840509i | 0.870933 | + | 0.491401i | \(0.163515\pi\) |
−0.937083 | + | 0.349107i | \(0.886485\pi\) | |||||||
\(422\) | 22.9314 | − | 27.1471i | 1.11628 | − | 1.32150i | ||||
\(423\) | 5.24104 | − | 1.25826i | 0.254828 | − | 0.0611788i | ||||
\(424\) | 16.0857 | − | 6.97288i | 0.781192 | − | 0.338633i | ||||
\(425\) | 2.07281 | + | 26.3375i | 0.100546 | + | 1.27756i | ||||
\(426\) | −3.95465 | + | 5.50590i | −0.191603 | + | 0.266762i | ||||
\(427\) | 15.6872 | + | 18.3673i | 0.759155 | + | 0.888856i | ||||
\(428\) | −4.67508 | − | 6.28951i | −0.225979 | − | 0.304015i | ||||
\(429\) | 9.18288 | − | 38.2495i | 0.443354 | − | 1.84670i | ||||
\(430\) | 0.787862 | − | 0.129186i | 0.0379941 | − | 0.00622992i | ||||
\(431\) | −3.93121 | + | 0.622643i | −0.189360 | + | 0.0299916i | −0.250394 | − | 0.968144i | \(-0.580560\pi\) |
0.0610342 | + | 0.998136i | \(0.480560\pi\) | |||||||
\(432\) | −4.67472 | + | 21.5265i | −0.224912 | + | 1.03570i | ||||
\(433\) | 8.22399 | + | 11.3193i | 0.395220 | + | 0.543973i | 0.959536 | − | 0.281585i | \(-0.0908602\pi\) |
−0.564317 | + | 0.825559i | \(0.690860\pi\) | |||||||
\(434\) | −22.9381 | + | 19.8080i | −1.10106 | + | 0.950814i | ||||
\(435\) | 1.49968 | + | 1.08958i | 0.0719044 | + | 0.0522416i | ||||
\(436\) | −29.8075 | + | 2.67280i | −1.42752 | + | 0.128004i | ||||
\(437\) | −20.2190 | + | 8.37499i | −0.967206 | + | 0.400630i | ||||
\(438\) | 5.53939 | − | 1.36183i | 0.264682 | − | 0.0650708i | ||||
\(439\) | 9.04238 | − | 10.5873i | 0.431569 | − | 0.505302i | −0.501422 | − | 0.865203i | \(-0.667189\pi\) |
0.932991 | + | 0.359901i | \(0.117189\pi\) | |||||||
\(440\) | 15.6856 | + | 0.976994i | 0.747784 | + | 0.0465764i | ||||
\(441\) | 1.41871 | − | 0.460965i | 0.0675574 | − | 0.0219507i | ||||
\(442\) | −39.5110 | − | 39.0831i | −1.87935 | − | 1.85899i | ||||
\(443\) | 0.750591 | − | 1.47312i | 0.0356616 | − | 0.0699899i | −0.872488 | − | 0.488635i | \(-0.837495\pi\) |
0.908150 | + | 0.418645i | \(0.137495\pi\) | |||||||
\(444\) | −3.86850 | + | 2.42896i | −0.183591 | + | 0.115273i | ||||
\(445\) | −7.75165 | + | 12.6495i | −0.367463 | + | 0.599646i | ||||
\(446\) | 18.4631 | + | 35.7532i | 0.874252 | + | 1.69296i | ||||
\(447\) | 16.5721 | + | 5.38460i | 0.783834 | + | 0.254683i | ||||
\(448\) | −7.96667 | + | 21.1633i | −0.376390 | + | 0.999872i | ||||
\(449\) | 27.5311 | + | 4.36050i | 1.29927 | + | 0.205785i | 0.767472 | − | 0.641083i | \(-0.221515\pi\) |
0.531803 | + | 0.846868i | \(0.321515\pi\) | |||||||
\(450\) | −8.44803 | + | 0.0459980i | −0.398244 | + | 0.00216837i | ||||
\(451\) | −34.8540 | − | 2.69172i | −1.64121 | − | 0.126748i | ||||
\(452\) | −24.3889 | + | 0.265594i | −1.14716 | + | 0.0124925i | ||||
\(453\) | 0.407408 | − | 2.57227i | 0.0191417 | − | 0.120856i | ||||
\(454\) | 5.74405 | − | 14.0838i | 0.269582 | − | 0.660984i | ||||
\(455\) | 5.24205 | − | 16.1334i | 0.245751 | − | 0.756345i | ||||
\(456\) | 6.32904 | + | 11.9354i | 0.296385 | + | 0.558926i | ||||
\(457\) | 1.05472 | + | 0.646336i | 0.0493379 | + | 0.0302343i | 0.546949 | − | 0.837166i | \(-0.315789\pi\) |
−0.497611 | + | 0.867400i | \(0.665789\pi\) | |||||||
\(458\) | −5.20340 | − | 8.38832i | −0.243139 | − | 0.391960i | ||||
\(459\) | 32.7013 | + | 16.6622i | 1.52637 | + | 0.777723i | ||||
\(460\) | 7.97010 | − | 8.14560i | 0.371608 | − | 0.379791i | ||||
\(461\) | −5.90451 | − | 18.1722i | −0.275000 | − | 0.846364i | −0.989219 | − | 0.146442i | \(-0.953218\pi\) |
0.714219 | − | 0.699922i | \(-0.246782\pi\) | |||||||
\(462\) | −1.94750 | + | 26.5960i | −0.0906060 | + | 1.23736i | ||||
\(463\) | 19.4565 | + | 16.6174i | 0.904218 | + | 0.772275i | 0.974297 | − | 0.225266i | \(-0.0723252\pi\) |
−0.0700792 | + | 0.997541i | \(0.522325\pi\) | |||||||
\(464\) | 1.51781 | + | 5.76592i | 0.0704625 | + | 0.267676i | ||||
\(465\) | −3.60812 | − | 8.71078i | −0.167323 | − | 0.403953i | ||||
\(466\) | −16.0153 | + | 1.34821i | −0.741893 | + | 0.0624545i | ||||
\(467\) | 10.4027 | − | 14.3181i | 0.481379 | − | 0.662562i | −0.497390 | − | 0.867527i | \(-0.665708\pi\) |
0.978769 | + | 0.204965i | \(0.0657081\pi\) | |||||||
\(468\) | 13.3872 | − | 11.6882i | 0.618823 | − | 0.540289i | ||||
\(469\) | 19.2581 | − | 13.9918i | 0.889254 | − | 0.646081i | ||||
\(470\) | −1.17454 | + | 5.01238i | −0.0541774 | + | 0.231204i | ||||
\(471\) | 0.452496 | + | 2.85695i | 0.0208499 | + | 0.131641i | ||||
\(472\) | −0.661116 | − | 3.77407i | −0.0304303 | − | 0.173715i | ||||
\(473\) | 2.94466 | + | 0.706949i | 0.135395 | + | 0.0325056i | ||||
\(474\) | 8.60043 | − | 6.32041i | 0.395031 | − | 0.290306i | ||||
\(475\) | −11.7830 | + | 10.0637i | −0.540643 | + | 0.461752i | ||||
\(476\) | 30.7199 | + | 21.8122i | 1.40804 | + | 0.999759i | ||||
\(477\) | 9.31197 | − | 0.732868i | 0.426366 | − | 0.0335557i | ||||
\(478\) | 5.05804 | − | 2.12745i | 0.231349 | − | 0.0973072i | ||||
\(479\) | −7.74777 | − | 32.2718i | −0.354005 | − | 1.47454i | −0.810990 | − | 0.585061i | \(-0.801071\pi\) |
0.456985 | − | 0.889474i | \(-0.348929\pi\) | |||||||
\(480\) | −5.47179 | − | 4.42152i | −0.249752 | − | 0.201814i | ||||
\(481\) | 10.9876 | + | 0.864745i | 0.500993 | + | 0.0394290i | ||||
\(482\) | 8.26470 | + | 24.9727i | 0.376447 | + | 1.13747i | ||||
\(483\) | 13.6735 | + | 13.6735i | 0.622165 | + | 0.622165i | ||||
\(484\) | 33.6966 | + | 16.7096i | 1.53166 | + | 0.759528i | ||||
\(485\) | 1.64366 | + | 2.68221i | 0.0746349 | + | 0.121793i | ||||
\(486\) | −10.1231 | + | 16.7232i | −0.459194 | + | 0.758578i | ||||
\(487\) | −14.8775 | + | 7.58048i | −0.674165 | + | 0.343504i | −0.757331 | − | 0.653031i | \(-0.773497\pi\) |
0.0831656 | + | 0.996536i | \(0.473497\pi\) | |||||||
\(488\) | −23.1058 | − | 7.09245i | −1.04595 | − | 0.321060i | ||||
\(489\) | −5.05001 | − | 2.09178i | −0.228369 | − | 0.0945936i | ||||
\(490\) | −0.215221 | + | 1.40844i | −0.00972270 | + | 0.0636270i | ||||
\(491\) | 37.1251 | 1.67543 | 0.837715 | − | 0.546107i | \(-0.183891\pi\) | ||||
0.837715 | + | 0.546107i | \(0.183891\pi\) | |||||||
\(492\) | 12.0235 | + | 10.0148i | 0.542062 | + | 0.451504i | ||||
\(493\) | 9.93394 | 0.447402 | ||||||||
\(494\) | 4.92392 | − | 32.2230i | 0.221538 | − | 1.44978i | ||||
\(495\) | 7.73587 | + | 3.20430i | 0.347701 | + | 0.144023i | ||||
\(496\) | 8.74096 | − | 29.0391i | 0.392481 | − | 1.30389i | ||||
\(497\) | −9.88008 | + | 5.03415i | −0.443182 | + | 0.225812i | ||||
\(498\) | 1.22074 | − | 2.01663i | 0.0547027 | − | 0.0903675i | ||||
\(499\) | 14.9056 | + | 24.3238i | 0.667268 | + | 1.08888i | 0.989819 | + | 0.142330i | \(0.0454595\pi\) |
−0.322551 | + | 0.946552i | \(0.604540\pi\) | |||||||
\(500\) | 8.10632 | − | 16.3472i | 0.362526 | − | 0.731070i | ||||
\(501\) | −12.7988 | − | 12.7988i | −0.571809 | − | 0.571809i | ||||
\(502\) | 2.97688 | + | 8.99495i | 0.132865 | + | 0.401464i | ||||
\(503\) | −7.58066 | − | 0.596611i | −0.338005 | − | 0.0266016i | −0.0916790 | − | 0.995789i | \(-0.529223\pi\) |
−0.246326 | + | 0.969187i | \(0.579223\pi\) | |||||||
\(504\) | −7.67380 | + | 9.28787i | −0.341818 | + | 0.413714i | ||||
\(505\) | 1.45810 | + | 6.07342i | 0.0648846 | + | 0.270264i | ||||
\(506\) | 39.8456 | − | 16.7593i | 1.77135 | − | 0.745043i | ||||
\(507\) | 26.5190 | − | 2.08709i | 1.17775 | − | 0.0926910i | ||||
\(508\) | 14.4606 | − | 20.3661i | 0.641586 | − | 0.903598i | ||||
\(509\) | −4.82145 | + | 4.11791i | −0.213707 | + | 0.182523i | −0.749857 | − | 0.661599i | \(-0.769878\pi\) |
0.536150 | + | 0.844122i | \(0.319878\pi\) | |||||||
\(510\) | −9.44482 | + | 6.94094i | −0.418224 | + | 0.307350i | ||||
\(511\) | 9.07304 | + | 2.17825i | 0.401368 | + | 0.0963599i | ||||
\(512\) | −4.63018 | − | 22.1486i | −0.204627 | − | 0.978840i | ||||
\(513\) | 3.36754 | + | 21.2618i | 0.148681 | + | 0.938732i | ||||
\(514\) | −0.0972971 | + | 0.415218i | −0.00429159 | + | 0.0183145i | ||||
\(515\) | 0.922806 | − | 0.670458i | 0.0406637 | − | 0.0295439i | ||||
\(516\) | −0.891540 | − | 1.02113i | −0.0392478 | − | 0.0449527i | ||||
\(517\) | −11.4779 | + | 15.7979i | −0.504797 | + | 0.694793i | ||||
\(518\) | −7.44551 | + | 0.626782i | −0.327137 | + | 0.0275392i | ||||
\(519\) | 3.04167 | + | 7.34323i | 0.133514 | + | 0.322332i | ||||
\(520\) | 4.23165 | + | 16.4384i | 0.185570 | + | 0.720873i | ||||
\(521\) | 28.7941 | + | 24.5925i | 1.26149 | + | 1.07742i | 0.993481 | + | 0.114002i | \(0.0363669\pi\) |
0.268013 | + | 0.963415i | \(0.413633\pi\) | |||||||
\(522\) | −0.231990 | + | 3.16816i | −0.0101539 | + | 0.138666i | ||||
\(523\) | 12.9967 | + | 39.9997i | 0.568305 | + | 1.74906i | 0.657921 | + | 0.753087i | \(0.271436\pi\) |
−0.0896165 | + | 0.995976i | \(0.528564\pi\) | |||||||
\(524\) | −11.9116 | − | 11.6550i | −0.520362 | − | 0.509151i | ||||
\(525\) | 12.1995 | + | 6.21595i | 0.532430 | + | 0.271286i | ||||
\(526\) | 16.7097 | + | 26.9375i | 0.728579 | + | 1.17453i | ||||
\(527\) | −43.0811 | − | 26.4001i | −1.87664 | − | 1.15001i | ||||
\(528\) | −12.6292 | − | 23.5062i | −0.549615 | − | 1.02298i | ||||
\(529\) | 2.57875 | − | 7.93659i | 0.112120 | − | 0.345069i | ||||
\(530\) | −3.36926 | + | 8.26105i | −0.146351 | + | 0.358837i | ||||
\(531\) | 0.319342 | − | 2.01624i | 0.0138582 | − | 0.0874975i | ||||
\(532\) | 0.240637 | + | 22.0971i | 0.0104329 | + | 0.958030i | ||||
\(533\) | −8.86789 | − | 36.7006i | −0.384111 | − | 1.58968i | ||||
\(534\) | 25.1890 | − | 0.137150i | 1.09003 | − | 0.00593504i | ||||
\(535\) | 3.93886 | + | 0.623854i | 0.170292 | + | 0.0269716i | ||||
\(536\) | −8.75460 | + | 22.1521i | −0.378141 | + | 0.956826i | ||||
\(537\) | −10.8800 | − | 3.53511i | −0.469505 | − | 0.152551i | ||||
\(538\) | 1.75248 | + | 3.39362i | 0.0755546 | + | 0.146309i | ||||
\(539\) | −2.82376 | + | 4.60796i | −0.121628 | + | 0.198479i | ||||
\(540\) | −5.96082 | − | 9.49355i | −0.256513 | − | 0.408537i | ||||
\(541\) | −13.2552 | + | 26.0148i | −0.569887 | + | 1.11847i | 0.408707 | + | 0.912666i | \(0.365980\pi\) |
−0.978594 | + | 0.205800i | \(0.934020\pi\) | |||||||
\(542\) | −1.75247 | − | 1.73349i | −0.0752751 | − | 0.0744598i | ||||
\(543\) | −16.6128 | + | 5.39783i | −0.712923 | + | 0.231643i | ||||
\(544\) | −37.6502 | − | 1.93375i | −1.61424 | − | 0.0829090i | ||||
\(545\) | 9.89066 | − | 11.5805i | 0.423669 | − | 0.496053i | ||||
\(546\) | −27.9695 | + | 6.87615i | −1.19698 | + | 0.294272i | ||||
\(547\) | 23.7913 | − | 9.85467i | 1.01724 | − | 0.421355i | 0.189150 | − | 0.981948i | \(-0.439427\pi\) |
0.828091 | + | 0.560593i | \(0.189427\pi\) | |||||||
\(548\) | −1.97991 | − | 22.0804i | −0.0845778 | − | 0.943227i | ||||
\(549\) | −10.4180 | − | 7.56908i | −0.444627 | − | 0.323041i | ||||
\(550\) | 23.1651 | − | 20.0040i | 0.987762 | − | 0.852973i | ||||
\(551\) | 3.42481 | + | 4.71384i | 0.145902 | + | 0.200816i | ||||
\(552\) | −18.8861 | − | 4.20912i | −0.803845 | − | 0.179152i | ||||
\(553\) | 17.2436 | − | 2.73111i | 0.733270 | − | 0.116139i | ||||
\(554\) | −10.1329 | + | 1.66150i | −0.430506 | + | 0.0705904i | ||||
\(555\) | 0.542640 | − | 2.26026i | 0.0230338 | − | 0.0959427i | ||||
\(556\) | −9.38675 | + | 6.97730i | −0.398087 | + | 0.295903i | ||||
\(557\) | −5.77222 | − | 6.75840i | −0.244577 | − | 0.286363i | 0.624516 | − | 0.781012i | \(-0.285296\pi\) |
−0.869092 | + | 0.494650i | \(0.835296\pi\) | |||||||
\(558\) | 9.42568 | − | 13.1230i | 0.399021 | − | 0.555541i | ||||
\(559\) | 0.256624 | + | 3.26071i | 0.0108540 | + | 0.137913i | ||||
\(560\) | −4.63416 | − | 10.5330i | −0.195829 | − | 0.445101i | ||||
\(561\) | −43.2302 | + | 10.3786i | −1.82518 | + | 0.438187i | ||||
\(562\) | 29.4220 | − | 34.8310i | 1.24109 | − | 1.46926i | ||||
\(563\) | −0.315504 | + | 4.00885i | −0.0132969 | + | 0.168953i | 0.986683 | + | 0.162653i | \(0.0520052\pi\) |
−0.999980 | + | 0.00629960i | \(0.997995\pi\) | |||||||
\(564\) | 8.28325 | − | 2.79147i | 0.348788 | − | 0.117542i | ||||
\(565\) | 8.77644 | − | 8.77644i | 0.369228 | − | 0.369228i | ||||
\(566\) | −8.67512 | − | 4.36086i | −0.364642 | − | 0.183301i | ||||
\(567\) | 5.32230 | − | 3.26151i | 0.223516 | − | 0.136971i | ||||
\(568\) | 5.64218 | − | 9.55405i | 0.236740 | − | 0.400879i | ||||
\(569\) | 2.20147 | + | 4.32063i | 0.0922905 | + | 0.181130i | 0.932537 | − | 0.361074i | \(-0.117590\pi\) |
−0.840247 | + | 0.542204i | \(0.817590\pi\) | |||||||
\(570\) | −6.54979 | − | 2.08880i | −0.274341 | − | 0.0874901i | ||||
\(571\) | 15.6952 | − | 37.8917i | 0.656825 | − | 1.58572i | −0.145855 | − | 0.989306i | \(-0.546593\pi\) |
0.802680 | − | 0.596410i | \(-0.203407\pi\) | |||||||
\(572\) | −9.37896 | + | 63.6983i | −0.392154 | + | 2.66336i | ||||
\(573\) | − | 16.7919i | − | 0.701491i | ||||||
\(574\) | 9.95844 | + | 23.5797i | 0.415657 | + | 0.984197i | ||||
\(575\) | − | 22.1940i | − | 0.925554i | ||||||
\(576\) | 1.49597 | − | 11.9623i | 0.0623321 | − | 0.498430i | ||||
\(577\) | −11.8371 | + | 28.5773i | −0.492785 | + | 1.18969i | 0.460512 | + | 0.887653i | \(0.347666\pi\) |
−0.953297 | + | 0.302034i | \(0.902334\pi\) | |||||||
\(578\) | −11.7798 | + | 36.9375i | −0.489974 | + | 1.53640i | ||||
\(579\) | 9.06994 | + | 17.8008i | 0.376934 | + | 0.739775i | ||||
\(580\) | −2.60413 | − | 1.55706i | −0.108130 | − | 0.0646534i | ||||
\(581\) | 3.28778 | − | 2.01476i | 0.136400 | − | 0.0835862i | ||||
\(582\) | 2.39889 | − | 4.77214i | 0.0994371 | − | 0.197812i | ||||
\(583\) | −23.9290 | + | 23.9290i | −0.991038 | + | 0.991038i | ||||
\(584\) | −8.83147 | + | 3.02987i | −0.365449 | + | 0.125377i | ||||
\(585\) | −0.709557 | + | 9.01577i | −0.0293366 | + | 0.372756i | ||||
\(586\) | 12.2284 | + | 10.3295i | 0.505152 | + | 0.426706i | ||||
\(587\) | 1.42885 | − | 0.343035i | 0.0589748 | − | 0.0141586i | −0.203851 | − | 0.979002i | \(-0.565346\pi\) |
0.262825 | + | 0.964843i | \(0.415346\pi\) | |||||||
\(588\) | 2.22477 | − | 0.950044i | 0.0917481 | − | 0.0391792i | ||||
\(589\) | −2.32520 | − | 29.5445i | −0.0958082 | − | 1.21736i | ||||
\(590\) | 1.58363 | + | 1.13745i | 0.0651971 | + | 0.0468282i | ||||
\(591\) | −6.87952 | − | 8.05489i | −0.282986 | − | 0.331334i | ||||
\(592\) | 5.95153 | − | 4.52530i | 0.244606 | − | 0.185989i | ||||
\(593\) | −1.56458 | + | 6.51696i | −0.0642497 | + | 0.267619i | −0.995244 | − | 0.0974147i | \(-0.968943\pi\) |
0.930994 | + | 0.365034i | \(0.118943\pi\) | |||||||
\(594\) | −6.88007 | − | 41.9591i | −0.282293 | − | 1.72160i | ||||
\(595\) | −18.9365 | + | 2.99925i | −0.776322 | + | 0.122957i | ||||
\(596\) | −27.8037 | − | 6.35567i | −1.13888 | − | 0.260338i | ||||
\(597\) | −3.37537 | − | 4.64580i | −0.138145 | − | 0.190140i | ||||
\(598\) | 30.5140 | + | 35.3359i | 1.24781 | + | 1.44499i | ||||
\(599\) | −28.8635 | − | 20.9706i | −1.17933 | − | 0.856835i | −0.187236 | − | 0.982315i | \(-0.559953\pi\) |
−0.992096 | + | 0.125480i | \(0.959953\pi\) | |||||||
\(600\) | −13.6389 | + | 1.29787i | −0.556804 | + | 0.0529853i | ||||
\(601\) | 20.5544 | − | 8.51389i | 0.838430 | − | 0.347289i | 0.0781955 | − | 0.996938i | \(-0.475084\pi\) |
0.760234 | + | 0.649649i | \(0.225084\pi\) | |||||||
\(602\) | −0.529364 | − | 2.15324i | −0.0215753 | − | 0.0877597i | ||||
\(603\) | −8.24184 | + | 9.64995i | −0.335634 | + | 0.392976i | ||||
\(604\) | −0.288155 | + | 4.25298i | −0.0117249 | + | 0.173051i | ||||
\(605\) | −18.2033 | + | 5.91461i | −0.740070 | + | 0.240463i | ||||
\(606\) | 7.45792 | − | 7.53958i | 0.302957 | − | 0.306274i | ||||
\(607\) | −12.8383 | + | 25.1966i | −0.521091 | + | 1.02270i | 0.469122 | + | 0.883134i | \(0.344571\pi\) |
−0.990213 | + | 0.139566i | \(0.955429\pi\) | |||||||
\(608\) | −12.0626 | − | 18.5324i | −0.489203 | − | 0.751588i | ||||
\(609\) | 2.69000 | − | 4.38968i | 0.109004 | − | 0.177879i | ||||
\(610\) | 10.9284 | − | 5.64348i | 0.442480 | − | 0.228498i | ||||
\(611\) | −20.0585 | − | 6.51742i | −0.811482 | − | 0.263666i | ||||
\(612\) | −18.6395 | − | 7.48398i | −0.753456 | − | 0.302522i | ||||
\(613\) | −38.9074 | − | 6.16232i | −1.57145 | − | 0.248894i | −0.690939 | − | 0.722913i | \(-0.742803\pi\) |
−0.880515 | + | 0.474019i | \(0.842803\pi\) | |||||||
\(614\) | 0.0627392 | + | 11.5227i | 0.00253195 | + | 0.465019i | ||||
\(615\) | −7.93753 | + | 0.636394i | −0.320072 | + | 0.0256619i | ||||
\(616\) | −0.712934 | − | 43.6425i | −0.0287249 | − | 1.75841i | ||||
\(617\) | −5.17938 | + | 32.7013i | −0.208514 | + | 1.31651i | 0.632106 | + | 0.774882i | \(0.282191\pi\) |
−0.840620 | + | 0.541625i | \(0.817809\pi\) | |||||||
\(618\) | −1.79328 | − | 0.731387i | −0.0721363 | − | 0.0294207i | ||||
\(619\) | 7.10767 | − | 21.8751i | 0.285681 | − | 0.879236i | −0.700512 | − | 0.713640i | \(-0.747045\pi\) |
0.986194 | − | 0.165596i | \(-0.0529548\pi\) | |||||||
\(620\) | 7.15547 | + | 13.6732i | 0.287370 | + | 0.549130i | ||||
\(621\) | −26.2888 | − | 16.1098i | −1.05493 | − | 0.646464i | ||||
\(622\) | −18.2838 | + | 11.3417i | −0.733115 | + | 0.454762i | ||||
\(623\) | 36.7125 | + | 18.7060i | 1.47086 | + | 0.749439i | ||||
\(624\) | 19.9305 | − | 20.8181i | 0.797860 | − | 0.833393i | ||||
\(625\) | −3.25562 | − | 10.0198i | −0.130225 | − | 0.400790i | ||||
\(626\) | −5.94130 | − | 0.435055i | −0.237462 | − | 0.0173883i | ||||
\(627\) | −19.8288 | − | 16.9354i | −0.791887 | − | 0.676335i | ||||
\(628\) | −1.15531 | − | 4.59137i | −0.0461019 | − | 0.183216i | ||||
\(629\) | −4.76701 | − | 11.5086i | −0.190073 | − | 0.458877i | ||||
\(630\) | −0.514299 | − | 6.10933i | −0.0204902 | − | 0.243401i | ||||
\(631\) | −10.0247 | + | 13.7979i | −0.399078 | + | 0.549284i | −0.960512 | − | 0.278238i | \(-0.910250\pi\) |
0.561434 | + | 0.827521i | \(0.310250\pi\) | |||||||
\(632\) | −13.0968 | + | 11.5610i | −0.520965 | + | 0.459872i | ||||
\(633\) | 24.8400 | − | 18.0473i | 0.987300 | − | 0.717316i | ||||
\(634\) | −8.59609 | − | 2.01430i | −0.341394 | − | 0.0799981i | ||||
\(635\) | 1.98839 | + | 12.5542i | 0.0789067 | + | 0.498197i | ||||
\(636\) | 14.9348 | − | 2.53245i | 0.592205 | − | 0.100418i | ||||
\(637\) | −5.67577 | − | 1.36263i | −0.224882 | − | 0.0539894i | ||||
\(638\) | −6.81522 | − | 9.27373i | −0.269817 | − | 0.367151i | ||||
\(639\) | 4.49521 | − | 3.83927i | 0.177828 | − | 0.151879i | ||||
\(640\) | 9.56668 | + | 6.40827i | 0.378156 | + | 0.253309i | ||||
\(641\) | 16.4218 | − | 1.29242i | 0.648623 | − | 0.0510477i | 0.250120 | − | 0.968215i | \(-0.419530\pi\) |
0.398503 | + | 0.917167i | \(0.369530\pi\) | |||||||
\(642\) | −2.62521 | − | 6.24148i | −0.103609 | − | 0.246331i | ||||
\(643\) | −6.57355 | − | 27.3808i | −0.259236 | − | 1.07979i | −0.938329 | − | 0.345743i | \(-0.887627\pi\) |
0.679094 | − | 0.734052i | \(-0.262373\pi\) | |||||||
\(644\) | −24.2899 | − | 20.2923i | −0.957155 | − | 0.799627i | ||||
\(645\) | 0.687693 | + | 0.0541226i | 0.0270779 | + | 0.00213108i | ||||
\(646\) | −34.9760 | + | 11.5753i | −1.37611 | + | 0.455424i | ||||
\(647\) | 22.9661 | + | 22.9661i | 0.902891 | + | 0.902891i | 0.995685 | − | 0.0927947i | \(-0.0295800\pi\) |
−0.0927947 | + | 0.995685i | \(0.529580\pi\) | |||||||
\(648\) | −2.74438 | + | 5.61088i | −0.107810 | + | 0.220416i | ||||
\(649\) | 3.86425 | + | 6.30588i | 0.151685 | + | 0.247528i | ||||
\(650\) | 28.2797 | + | 17.1187i | 1.10922 | + | 0.671452i | ||||
\(651\) | −23.3317 | + | 11.8881i | −0.914443 | + | 0.465932i | ||||
\(652\) | 8.53851 | + | 2.67189i | 0.334394 | + | 0.104639i | ||||
\(653\) | 28.8241 | + | 11.9393i | 1.12797 | + | 0.467222i | 0.867091 | − | 0.498149i | \(-0.165987\pi\) |
0.260882 | + | 0.965371i | \(0.415987\pi\) | |||||||
\(654\) | −25.5609 | − | 3.90591i | −0.999512 | − | 0.152733i | ||||
\(655\) | 8.48055 | 0.331362 | ||||||||
\(656\) | −21.0652 | − | 14.5690i | −0.822459 | − | 0.568824i | ||||
\(657\) | −4.97446 | −0.194072 | ||||||||
\(658\) | 14.1340 | + | 2.15978i | 0.550999 | + | 0.0841970i | ||||
\(659\) | −8.95101 | − | 3.70763i | −0.348682 | − | 0.144429i | 0.201467 | − | 0.979495i | \(-0.435429\pi\) |
−0.550149 | + | 0.835067i | \(0.685429\pi\) | |||||||
\(660\) | 12.9593 | + | 4.05526i | 0.504440 | + | 0.157851i | ||||
\(661\) | 24.4706 | − | 12.4684i | 0.951795 | − | 0.484964i | 0.0920877 | − | 0.995751i | \(-0.470646\pi\) |
0.859707 | + | 0.510787i | \(0.170646\pi\) | |||||||
\(662\) | 38.7272 | + | 23.4430i | 1.50518 | + | 0.911138i | ||||
\(663\) | −25.0894 | − | 40.9422i | −0.974392 | − | 1.59006i | ||||
\(664\) | −1.69531 | + | 3.46605i | −0.0657907 | + | 0.134509i | ||||
\(665\) | −7.95173 | − | 7.95173i | −0.308355 | − | 0.308355i | ||||
\(666\) | 3.78167 | − | 1.25154i | 0.146537 | − | 0.0484963i | ||||
\(667\) | −8.31957 | − | 0.654764i | −0.322135 | − | 0.0253526i | ||||
\(668\) | 22.7361 | + | 18.9942i | 0.879687 | + | 0.734909i | ||||
\(669\) | 8.11627 | + | 33.8067i | 0.313793 | + | 1.30704i | ||||
\(670\) | −4.69948 | − | 11.1731i | −0.181557 | − | 0.431654i | ||||
\(671\) | 46.5094 | − | 3.66037i | 1.79548 | − | 0.141307i | ||||
\(672\) | −11.0497 | + | 16.1135i | −0.426253 | + | 0.621591i | ||||
\(673\) | 13.0713 | − | 11.1639i | 0.503860 | − | 0.430337i | −0.360839 | − | 0.932628i | \(-0.617509\pi\) |
0.864699 | + | 0.502291i | \(0.167509\pi\) | |||||||
\(674\) | 13.4279 | + | 18.2719i | 0.517225 | + | 0.703808i | ||||
\(675\) | −21.2277 | − | 5.09633i | −0.817056 | − | 0.196158i | ||||
\(676\) | −42.9273 | + | 7.27905i | −1.65105 | + | 0.279963i | ||||
\(677\) | 0.397260 | + | 2.50820i | 0.0152680 | + | 0.0963981i | 0.994146 | − | 0.108049i | \(-0.0344604\pi\) |
−0.978878 | + | 0.204447i | \(0.934460\pi\) | |||||||
\(678\) | −20.5180 | − | 4.80792i | −0.787987 | − | 0.184647i | ||||
\(679\) | 7.06822 | − | 5.13536i | 0.271253 | − | 0.197077i | ||||
\(680\) | 14.3827 | − | 12.6961i | 0.551551 | − | 0.486872i | ||||
\(681\) | 7.72457 | − | 10.6320i | 0.296006 | − | 0.407418i | ||||
\(682\) | 4.91036 | + | 58.3298i | 0.188027 | + | 2.23357i | ||||
\(683\) | −14.9592 | − | 36.1146i | −0.572396 | − | 1.38189i | −0.899510 | − | 0.436901i | \(-0.856076\pi\) |
0.327114 | − | 0.944985i | \(-0.393924\pi\) | |||||||
\(684\) | −2.87482 | − | 11.4249i | −0.109922 | − | 0.436844i | ||||
\(685\) | 8.57841 | + | 7.32666i | 0.327764 | + | 0.279937i | ||||
\(686\) | −23.9611 | − | 1.75456i | −0.914838 | − | 0.0669895i | ||||
\(687\) | −2.63556 | − | 8.11143i | −0.100553 | − | 0.309470i | ||||
\(688\) | 1.60270 | + | 1.53436i | 0.0611022 | + | 0.0584970i | ||||
\(689\) | −32.5665 | − | 16.5934i | −1.24068 | − | 0.632160i | ||||
\(690\) | 8.36743 | − | 5.19044i | 0.318543 | − | 0.197597i | ||||
\(691\) | −0.230824 | − | 0.141449i | −0.00878095 | − | 0.00538098i | 0.518101 | − | 0.855319i | \(-0.326639\pi\) |
−0.526882 | + | 0.849938i | \(0.676639\pi\) | |||||||
\(692\) | −6.03209 | − | 11.5266i | −0.229306 | − | 0.438176i | ||||
\(693\) | 7.18622 | − | 22.1169i | 0.272982 | − | 0.840152i | ||||
\(694\) | −25.1074 | − | 10.2400i | −0.953062 | − | 0.388705i | ||||
\(695\) | 0.931068 | − | 5.87853i | 0.0353174 | − | 0.222985i | ||||
\(696\) | 0.0841439 | + | 5.15090i | 0.00318947 | + | 0.195245i | ||||
\(697\) | −32.4084 | + | 27.7616i | −1.22756 | + | 1.05154i | ||||
\(698\) | −0.0246672 | − | 4.53040i | −0.000933668 | − | 0.171478i | ||||
\(699\) | −13.7155 | − | 2.17232i | −0.518768 | − | 0.0821647i | ||||
\(700\) | −20.7968 | − | 8.35017i | −0.786045 | − | 0.315607i | ||||
\(701\) | −2.97243 | − | 0.965800i | −0.112267 | − | 0.0364778i | 0.252345 | − | 0.967637i | \(-0.418798\pi\) |
−0.364612 | + | 0.931160i | \(0.618798\pi\) | |||||||
\(702\) | 40.8043 | − | 21.0715i | 1.54006 | − | 0.795291i | ||||
\(703\) | 3.81757 | − | 6.22971i | 0.143982 | − | 0.234958i | ||||
\(704\) | 24.0248 | + | 36.4746i | 0.905469 | + | 1.37469i | ||||
\(705\) | −2.01940 | + | 3.96329i | −0.0760550 | + | 0.149266i | ||||
\(706\) | 6.16934 | − | 6.23689i | 0.232186 | − | 0.234728i | ||||
\(707\) | 16.4981 | − | 5.36055i | 0.620474 | − | 0.201604i | ||||
\(708\) | 0.223787 | − | 3.30295i | 0.00841043 | − | 0.124132i | ||||
\(709\) | −23.8381 | + | 27.9108i | −0.895259 | + | 1.04821i | 0.103305 | + | 0.994650i | \(0.467058\pi\) |
−0.998564 | + | 0.0535640i | \(0.982942\pi\) | |||||||
\(710\) | 1.34799 | + | 5.48311i | 0.0505893 | + | 0.205777i | ||||
\(711\) | −8.59898 | + | 3.56181i | −0.322487 | + | 0.133578i | ||||
\(712\) | −41.0441 | + | 3.90575i | −1.53819 | + | 0.146374i | ||||
\(713\) | 34.3399 | + | 24.9494i | 1.28604 | + | 0.934362i | ||||
\(714\) | 21.2758 | + | 24.6379i | 0.796228 | + | 0.922049i | ||||
\(715\) | −19.2584 | − | 26.5069i | −0.720222 | − | 0.991301i | ||||
\(716\) | 18.2537 | + | 4.17264i | 0.682174 | + | 0.155939i | ||||
\(717\) | 4.68272 | − | 0.741669i | 0.174879 | − | 0.0276982i | ||||
\(718\) | 1.60731 | + | 9.80240i | 0.0599841 | + | 0.365822i | ||||
\(719\) | −11.5267 | + | 48.0122i | −0.429874 | + | 1.79055i | 0.164513 | + | 0.986375i | \(0.447395\pi\) |
−0.594387 | + | 0.804179i | \(0.702605\pi\) | |||||||
\(720\) | 3.71318 | + | 4.88346i | 0.138382 | + | 0.181996i | ||||
\(721\) | −2.05742 | − | 2.40892i | −0.0766222 | − | 0.0897130i | ||||
\(722\) | 4.27304 | + | 3.06914i | 0.159026 | + | 0.114221i | ||||
\(723\) | 1.78320 | + | 22.6578i | 0.0663181 | + | 0.842651i | ||||
\(724\) | 26.2938 | − | 11.2282i | 0.977202 | − | 0.417294i | ||||
\(725\) | −5.74567 | + | 1.37941i | −0.213389 | + | 0.0512301i | ||||
\(726\) | 24.8260 | + | 20.9707i | 0.921378 | + | 0.778295i | ||||
\(727\) | 1.21844 | − | 15.4818i | 0.0451895 | − | 0.574187i | −0.932089 | − | 0.362229i | \(-0.882016\pi\) |
0.977279 | − | 0.211958i | \(-0.0679841\pi\) | |||||||
\(728\) | 44.5918 | − | 15.2984i | 1.65268 | − | 0.566997i | ||||
\(729\) | −16.6278 | + | 16.6278i | −0.615843 | + | 0.615843i | ||||
\(730\) | 2.13396 | − | 4.24511i | 0.0789814 | − | 0.157119i | ||||
\(731\) | 3.15196 | − | 1.93152i | 0.116579 | − | 0.0714399i | ||||
\(732\) | −17.9237 | − | 10.7169i | −0.662478 | − | 0.396109i | ||||
\(733\) | −3.23601 | − | 6.35103i | −0.119525 | − | 0.234581i | 0.823490 | − | 0.567330i | \(-0.192024\pi\) |
−0.943015 | + | 0.332749i | \(0.892024\pi\) | |||||||
\(734\) | −10.2062 | + | 32.0034i | −0.376719 | + | 1.18127i | ||||
\(735\) | −0.471102 | + | 1.13734i | −0.0173769 | + | 0.0419514i | ||||
\(736\) | 31.4042 | + | 4.10109i | 1.15757 | + | 0.151168i | ||||
\(737\) | − | 45.9766i | − | 1.69357i | ||||||
\(738\) | −8.09694 | − | 10.9841i | −0.298053 | − | 0.404330i | ||||
\(739\) | 32.1492i | 1.18263i | 0.806441 | + | 0.591315i | \(0.201391\pi\) | ||||
−0.806441 | + | 0.591315i | \(0.798609\pi\) | |||||||
\(740\) | −0.554227 | + | 3.76409i | −0.0203738 | + | 0.138371i | ||||
\(741\) | 10.7781 | − | 26.0206i | 0.395943 | − | 0.955890i | ||||
\(742\) | 23.6070 | + | 7.52851i | 0.866639 | + | 0.276380i | ||||
\(743\) | −0.108777 | − | 0.213487i | −0.00399065 | − | 0.00783209i | 0.889003 | − | 0.457902i | \(-0.151399\pi\) |
−0.892993 | + | 0.450070i | \(0.851399\pi\) | |||||||
\(744\) | 13.3240 | − | 22.5618i | 0.488480 | − | 0.827157i | ||||
\(745\) | 12.3750 | − | 7.58339i | 0.453384 | − | 0.277834i | ||||
\(746\) | 2.45732 | + | 1.23526i | 0.0899689 | + | 0.0452261i | ||||
\(747\) | −1.45361 | + | 1.45361i | −0.0531847 | + | 0.0531847i | ||||
\(748\) | 68.9584 | − | 23.2391i | 2.52137 | − | 0.849707i | ||||
\(749\) | 0.868998 | − | 11.0417i | 0.0317525 | − | 0.403454i | ||||
\(750\) | 10.1735 | − | 12.0438i | 0.371483 | − | 0.439777i | ||||
\(751\) | 8.87043 | − | 2.12960i | 0.323687 | − | 0.0777103i | −0.0683457 | − | 0.997662i | \(-0.521772\pi\) |
0.392032 | + | 0.919951i | \(0.371772\pi\) | |||||||
\(752\) | −13.0956 | + | 5.76163i | −0.477549 | + | 0.210105i | ||||
\(753\) | 0.642296 | + | 8.16114i | 0.0234066 | + | 0.297408i | ||||
\(754\) | 7.25137 | − | 10.0958i | 0.264079 | − | 0.367667i | ||||
\(755\) | −1.40880 | − | 1.64949i | −0.0512713 | − | 0.0600310i | ||||
\(756\) | −24.9864 | + | 18.5727i | −0.908746 | + | 0.675483i | ||||
\(757\) | −6.98607 | + | 29.0991i | −0.253913 | + | 1.05762i | 0.689047 | + | 0.724717i | \(0.258029\pi\) |
−0.942960 | + | 0.332907i | \(0.891971\pi\) | |||||||
\(758\) | 34.9320 | − | 5.72782i | 1.26879 | − | 0.208044i | ||||
\(759\) | 36.8889 | − | 5.84263i | 1.33898 | − | 0.212074i | ||||
\(760\) | 10.9831 | + | 2.44779i | 0.398398 | + | 0.0887906i | ||||
\(761\) | −4.54632 | − | 6.25748i | −0.164804 | − | 0.226833i | 0.718625 | − | 0.695397i | \(-0.244772\pi\) |
−0.883430 | + | 0.468564i | \(0.844772\pi\) | |||||||
\(762\) | 16.3340 | − | 14.1050i | 0.591717 | − | 0.510972i | ||||
\(763\) | −34.2187 | − | 24.8613i | −1.23880 | − | 0.900040i | ||||
\(764\) | 2.45466 | + | 27.3748i | 0.0888065 | + | 0.990386i | ||||
\(765\) | 9.44323 | − | 3.91151i | 0.341421 | − | 0.141421i | ||||
\(766\) | 15.2939 | − | 3.75992i | 0.552590 | − | 0.135851i | ||||
\(767\) | −5.18770 | + | 6.07401i | −0.187317 | + | 0.219320i | ||||
\(768\) | 0.683771 | − | 19.5386i | 0.0246735 | − | 0.705038i | ||||
\(769\) | 18.7296 | − | 6.08562i | 0.675407 | − | 0.219453i | 0.0488235 | − | 0.998807i | \(-0.484453\pi\) |
0.626583 | + | 0.779354i | \(0.284453\pi\) | |||||||
\(770\) | 15.7914 | + | 15.6204i | 0.569083 | + | 0.562919i | ||||
\(771\) | −0.167284 | + | 0.328314i | −0.00602459 | + | 0.0118239i | ||||
\(772\) | −17.3883 | − | 27.6937i | −0.625820 | − | 0.996718i | ||||
\(773\) | 17.8883 | − | 29.1911i | 0.643398 | − | 1.04993i | −0.350169 | − | 0.936687i | \(-0.613876\pi\) |
0.993567 | − | 0.113244i | \(-0.0361241\pi\) | |||||||
\(774\) | 0.542397 | + | 1.05034i | 0.0194961 | + | 0.0377536i | ||||
\(775\) | 28.5834 | + | 9.28733i | 1.02675 | + | 0.333611i | ||||
\(776\) | −3.21317 | + | 8.13042i | −0.115346 | + | 0.291865i | ||||
\(777\) | −6.37634 | − | 1.00991i | −0.228750 | − | 0.0362304i | ||||
\(778\) | −12.3580 | + | 0.0672873i | −0.443057 | + | 0.00241237i | ||||
\(779\) | −24.3465 | − | 5.80737i | −0.872302 | − | 0.208071i | ||||
\(780\) | 0.159705 | + | 14.6653i | 0.00571835 | + | 0.525103i | ||||
\(781\) | −3.35038 | + | 21.1534i | −0.119886 | + | 0.756930i | ||||
\(782\) | 19.9274 | − | 48.8597i | 0.712601 | − | 1.74722i | ||||
\(783\) | −2.53665 | + | 7.80700i | −0.0906524 | + | 0.278999i | ||||
\(784\) | −3.48804 | + | 1.87402i | −0.124573 | + | 0.0669294i | ||||
\(785\) | 2.05426 | + | 1.25885i | 0.0733197 | + | 0.0449304i | ||||
\(786\) | −7.59019 | − | 12.2360i | −0.270733 | − | 0.436444i | ||||
\(787\) | −17.2723 | − | 8.80068i | −0.615691 | − | 0.313710i | 0.118187 | − | 0.992991i | \(-0.462292\pi\) |
−0.733878 | + | 0.679281i | \(0.762292\pi\) | |||||||
\(788\) | 12.3928 | + | 12.1258i | 0.441474 | + | 0.431962i | ||||
\(789\) | 8.46361 | + | 26.0483i | 0.301312 | + | 0.927344i | ||||
\(790\) | 0.649229 | − | 8.86617i | 0.0230985 | − | 0.315444i | ||||
\(791\) | −26.2122 | − | 22.3873i | −0.931999 | − | 0.796003i | ||||
\(792\) | 5.80108 | + | 22.5351i | 0.206132 | + | 0.800750i | ||||
\(793\) | 19.2829 | + | 46.5530i | 0.684755 | + | 1.65314i | ||||
\(794\) | −42.0685 | + | 3.54143i | −1.49295 | + | 0.125681i | ||||
\(795\) | −4.53096 | + | 6.23634i | −0.160697 | + | 0.221180i | ||||
\(796\) | 6.18180 | + | 7.08035i | 0.219108 | + | 0.250957i | ||||
\(797\) | −36.8726 | + | 26.7895i | −1.30609 | + | 0.948933i | −0.999995 | − | 0.00306705i | \(-0.999024\pi\) |
−0.306099 | + | 0.952000i | \(0.599024\pi\) | |||||||
\(798\) | −4.35613 | + | 18.5899i | −0.154205 | + | 0.658075i | ||||
\(799\) | 3.72895 | + | 23.5437i | 0.131921 | + | 0.832916i | ||||
\(800\) | 22.0449 | − | 4.10959i | 0.779405 | − | 0.145296i | ||||
\(801\) | −21.3594 | − | 5.12795i | −0.754699 | − | 0.181187i | ||||
\(802\) | −22.5351 | + | 16.5609i | −0.795742 | + | 0.584787i | ||||
\(803\) | 13.7040 | − | 11.7044i | 0.483605 | − | 0.413038i | ||||
\(804\) | −11.9148 | + | 16.7806i | −0.420203 | + | 0.591806i | ||||
\(805\) | 16.0568 | − | 1.26370i | 0.565929 | − | 0.0445396i | ||||
\(806\) | −58.2778 | + | 24.5120i | −2.05275 | + | 0.863399i | ||||
\(807\) | 0.770380 | + | 3.20886i | 0.0271186 | + | 0.112957i | ||||
\(808\) | −11.0561 | + | 13.3815i | −0.388951 | + | 0.470761i | ||||
\(809\) | −15.0923 | − | 1.18779i | −0.530618 | − | 0.0417605i | −0.189679 | − | 0.981846i | \(-0.560745\pi\) |
−0.340939 | + | 0.940086i | \(0.610745\pi\) | |||||||
\(810\) | −0.998659 | − | 3.01755i | −0.0350893 | − | 0.106026i | ||||
\(811\) | 1.28504 | + | 1.28504i | 0.0451239 | + | 0.0451239i | 0.729309 | − | 0.684185i | \(-0.239842\pi\) |
−0.684185 | + | 0.729309i | \(0.739842\pi\) | |||||||
\(812\) | −3.74366 | + | 7.54947i | −0.131377 | + | 0.264934i | ||||
\(813\) | −1.11281 | − | 1.81595i | −0.0390281 | − | 0.0636881i | ||||
\(814\) | −7.47329 | + | 12.3457i | −0.261939 | + | 0.432716i | ||||
\(815\) | −4.05662 | + | 2.06695i | −0.142097 | + | 0.0724021i | ||||
\(816\) | −31.1910 | − | 9.38870i | −1.09190 | − | 0.328670i | ||||
\(817\) | 2.00321 | + | 0.829756i | 0.0700834 | + | 0.0290295i | ||||
\(818\) | 3.36269 | − | 22.0060i | 0.117574 | − | 0.769421i | ||||
\(819\) | 25.1170 | 0.877661 | ||||||||
\(820\) | 12.8471 | − | 2.19780i | 0.448639 | − | 0.0767503i | ||||
\(821\) | −4.08752 | −0.142656 | −0.0713278 | − | 0.997453i | \(-0.522724\pi\) | ||||
−0.0713278 | + | 0.997453i | \(0.522724\pi\) | |||||||
\(822\) | 2.89336 | − | 18.9346i | 0.100918 | − | 0.660422i | ||||
\(823\) | −34.5766 | − | 14.3221i | −1.20526 | − | 0.499236i | −0.312567 | − | 0.949896i | \(-0.601189\pi\) |
−0.892696 | + | 0.450659i | \(0.851189\pi\) | |||||||
\(824\) | 3.03040 | + | 0.930194i | 0.105569 | + | 0.0324049i | ||||
\(825\) | 23.5626 | − | 12.0058i | 0.820345 | − | 0.417987i | ||||
\(826\) | 2.80424 | − | 4.63254i | 0.0975722 | − | 0.161187i | ||||
\(827\) | −12.1105 | − | 19.7625i | −0.421122 | − | 0.687208i | 0.569780 | − | 0.821797i | \(-0.307029\pi\) |
−0.990901 | + | 0.134589i | \(0.957029\pi\) | |||||||
\(828\) | 15.1171 | + | 7.49632i | 0.525355 | + | 0.260515i | ||||
\(829\) | 25.9686 | + | 25.9686i | 0.901926 | + | 0.901926i | 0.995603 | − | 0.0936763i | \(-0.0298619\pi\) |
−0.0936763 | + | 0.995603i | \(0.529862\pi\) | |||||||
\(830\) | −0.616909 | − | 1.86405i | −0.0214132 | − | 0.0647023i | ||||
\(831\) | −8.84460 | − | 0.696085i | −0.306816 | − | 0.0241469i | ||||
\(832\) | −29.4484 | + | 36.8521i | −1.02094 | + | 1.27762i | ||||
\(833\) | 1.54007 | + | 6.41484i | 0.0533602 | + | 0.222261i | ||||
\(834\) | −9.31505 | + | 3.91798i | −0.322554 | + | 0.135668i | ||||
\(835\) | −15.0297 | + | 1.18287i | −0.520125 | + | 0.0409347i | ||||
\(836\) | 34.8014 | + | 24.7102i | 1.20363 | + | 0.854621i | ||||
\(837\) | 31.7485 | − | 27.1158i | 1.09739 | − | 0.937258i | ||||
\(838\) | 21.4225 | − | 15.7432i | 0.740027 | − | 0.543841i | ||||
\(839\) | −48.1591 | − | 11.5620i | −1.66264 | − | 0.399164i | −0.710224 | − | 0.703976i | \(-0.751406\pi\) |
−0.952413 | + | 0.304812i | \(0.901406\pi\) | |||||||
\(840\) | −1.71556 | − | 9.79349i | −0.0591924 | − | 0.337907i | ||||
\(841\) | −4.18903 | − | 26.4485i | −0.144449 | − | 0.912016i | ||||
\(842\) | 5.58155 | − | 23.8194i | 0.192353 | − | 0.820872i | ||||
\(843\) | 31.8709 | − | 23.1555i | 1.09769 | − | 0.797519i | ||||
\(844\) | −37.8570 | + | 33.0526i | −1.30309 | + | 1.13772i | ||||
\(845\) | 13.0234 | − | 17.9251i | 0.448018 | − | 0.616644i | ||||
\(846\) | −7.59569 | + | 0.639425i | −0.261145 | + | 0.0219839i | ||||
\(847\) | 20.3427 | + | 49.1116i | 0.698983 | + | 1.68749i | ||||
\(848\) | −23.9772 | + | 6.31171i | −0.823380 | + | 0.216745i | ||||
\(849\) | −6.37922 | − | 5.44836i | −0.218934 | − | 0.186987i | ||||
\(850\) | 2.72855 | − | 37.2623i | 0.0935884 | − | 1.27808i | ||||
\(851\) | 3.23377 | + | 9.95251i | 0.110852 | + | 0.341168i | ||||
\(852\) | 6.70473 | − | 6.85237i | 0.229700 | − | 0.234758i | ||||
\(853\) | −25.9549 | − | 13.2247i | −0.888677 | − | 0.452804i | −0.0508292 | − | 0.998707i | \(-0.516186\pi\) |
−0.837848 | + | 0.545904i | \(0.816186\pi\) | |||||||
\(854\) | −18.0067 | − | 29.0284i | −0.616178 | − | 0.993331i | ||||
\(855\) | 5.11172 | + | 3.13247i | 0.174817 | + | 0.107128i | ||||
\(856\) | 5.19211 | + | 9.79136i | 0.177463 | + | 0.334662i | ||||
\(857\) | −3.50414 | + | 10.7846i | −0.119699 | + | 0.368396i | −0.992898 | − | 0.118968i | \(-0.962041\pi\) |
0.873199 | + | 0.487364i | \(0.162041\pi\) | |||||||
\(858\) | −21.0085 | + | 51.5105i | −0.717219 | + | 1.75854i | ||||
\(859\) | 0.209762 | − | 1.32438i | 0.00715697 | − | 0.0451873i | −0.983851 | − | 0.178987i | \(-0.942718\pi\) |
0.991008 | + | 0.133800i | \(0.0427179\pi\) | |||||||
\(860\) | −1.12902 | + | 0.0122950i | −0.0384992 | + | 0.000419255i | ||||
\(861\) | 3.49165 | + | 21.8384i | 0.118995 | + | 0.744250i | ||||
\(862\) | 5.62879 | − | 0.0306478i | 0.191717 | − | 0.00104387i | ||||
\(863\) | 43.7611 | + | 6.93108i | 1.48965 | + | 0.235937i | 0.847561 | − | 0.530697i | \(-0.178070\pi\) |
0.642084 | + | 0.766634i | \(0.278070\pi\) | |||||||
\(864\) | 11.1338 | − | 29.0952i | 0.378778 | − | 0.989838i | ||||
\(865\) | 6.29629 | + | 2.04579i | 0.214080 | + | 0.0695589i | ||||
\(866\) | −9.07895 | − | 17.5811i | −0.308515 | − | 0.597431i | ||||
\(867\) | −17.5029 | + | 28.5621i | −0.594429 | + | 0.970020i | ||||
\(868\) | 36.2986 | − | 22.7912i | 1.23205 | − | 0.773583i | ||||
\(869\) | 15.3086 | − | 30.0448i | 0.519309 | − | 1.01920i | ||||
\(870\) | −1.86378 | − | 1.84359i | −0.0631880 | − | 0.0625036i | ||||
\(871\) | 47.2273 | − | 15.3451i | 1.60024 | − | 0.519948i | ||||
\(872\) | 42.2415 | + | 2.63105i | 1.43048 | + | 0.0890985i | ||||
\(873\) | −3.02497 | + | 3.54179i | −0.102380 | + | 0.119871i | ||||
\(874\) | 30.0550 | − | 7.38886i | 1.01662 | − | 0.249932i | ||||
\(875\) | 23.8255 | − | 9.86883i | 0.805448 | − | 0.333627i | ||||
\(876\) | −8.03491 | + | 0.720478i | −0.271474 | + | 0.0243427i | ||||
\(877\) | −44.3128 | − | 32.1951i | −1.49634 | − | 1.08715i | −0.971812 | − | 0.235758i | \(-0.924243\pi\) |
−0.524525 | − | 0.851395i | \(-0.675757\pi\) | |||||||
\(878\) | −14.9028 | + | 12.8692i | −0.502945 | + | 0.434314i | ||||
\(879\) | 8.12942 | + | 11.1892i | 0.274199 | + | 0.377402i | ||||
\(880\) | −21.7196 | − | 4.71664i | −0.732168 | − | 0.158998i | ||||
\(881\) | −11.7169 | + | 1.85578i | −0.394754 | + | 0.0625228i | −0.350656 | − | 0.936504i | \(-0.614041\pi\) |
−0.0440978 | + | 0.999027i | \(0.514041\pi\) | |||||||
\(882\) | −2.08180 | + | 0.341355i | −0.0700979 | + | 0.0114940i | ||||
\(883\) | −10.1860 | + | 42.4279i | −0.342788 | + | 1.42781i | 0.488788 | + | 0.872402i | \(0.337439\pi\) |
−0.831576 | + | 0.555411i | \(0.812561\pi\) | |||||||
\(884\) | 46.8868 | + | 63.0781i | 1.57697 | + | 2.12155i | ||||
\(885\) | 1.09410 | + | 1.28103i | 0.0367778 | + | 0.0430612i | ||||
\(886\) | −1.36401 | + | 1.89905i | −0.0458247 | + | 0.0638000i | ||||
\(887\) | −2.83633 | − | 36.0390i | −0.0952347 | − | 1.21007i | −0.839941 | − | 0.542678i | \(-0.817410\pi\) |
0.744706 | − | 0.667393i | \(-0.232590\pi\) | |||||||
\(888\) | 5.92700 | − | 2.56925i | 0.198897 | − | 0.0862184i | ||||
\(889\) | 34.3261 | − | 8.24097i | 1.15126 | − | 0.276393i | ||||
\(890\) | 13.5389 | − | 16.0279i | 0.453826 | − | 0.537258i | ||||
\(891\) | 0.945929 | − | 12.0192i | 0.0316898 | − | 0.402657i | ||||
\(892\) | −18.1734 | − | 53.9267i | −0.608490 | − | 1.80560i | ||||
\(893\) | −9.88634 | + | 9.88634i | −0.330834 | + | 0.330834i | ||||
\(894\) | −22.0173 | − | 11.0678i | −0.736368 | − | 0.370162i | ||||
\(895\) | −8.12444 | + | 4.97867i | −0.271570 | + | 0.166418i | ||||
\(896\) | 15.6583 | − | 27.8841i | 0.523106 | − | 0.931544i | ||||
\(897\) | 18.3136 | + | 35.9424i | 0.611472 | + | 1.20008i | ||||
\(898\) | −37.5566 | − | 11.9772i | −1.25328 | − | 0.399685i | ||||
\(899\) | 4.32468 | − | 10.4407i | 0.144236 | − | 0.348217i | ||||
\(900\) | 11.8201 | + | 1.74039i | 0.394002 | + | 0.0580130i | ||||
\(901\) | 41.3096i | 1.37622i | ||||||||
\(902\) | 48.1504 | + | 11.2086i | 1.60323 | + | 0.373206i | ||||
\(903\) | − | 1.91584i | − | 0.0637553i | ||||||
\(904\) | 34.1521 | + | 4.83873i | 1.13588 | + | 0.160934i | ||||
\(905\) | −5.56779 | + | 13.4418i | −0.185080 | + | 0.446822i | ||||
\(906\) | −1.11905 | + | 3.50897i | −0.0371778 | + | 0.116578i | ||||
\(907\) | 19.9743 | + | 39.2018i | 0.663236 | + | 1.30167i | 0.940144 | + | 0.340778i | \(0.110691\pi\) |
−0.276907 | + | 0.960897i | \(0.589309\pi\) | |||||||
\(908\) | −11.0387 | + | 18.4619i | −0.366333 | + | 0.612678i | ||||
\(909\) | −7.88529 | + | 4.83211i | −0.261538 | + | 0.160271i | ||||
\(910\) | −10.7748 | + | 21.4344i | −0.357181 | + | 0.710544i | ||||
\(911\) | 12.2607 | − | 12.2607i | 0.406216 | − | 0.406216i | −0.474201 | − | 0.880417i | \(-0.657263\pi\) |
0.880417 | + | 0.474201i | \(0.157263\pi\) | |||||||
\(912\) | −6.29824 | − | 18.0376i | −0.208555 | − | 0.597283i | ||||
\(913\) | 0.584336 | − | 7.42469i | 0.0193387 | − | 0.245721i | ||||
\(914\) | −1.33642 | − | 1.12888i | −0.0442048 | − | 0.0373401i | ||||
\(915\) | 10.3335 | − | 2.48084i | 0.341614 | − | 0.0820142i | ||||
\(916\) | 5.48234 | + | 12.8383i | 0.181142 | + | 0.424190i | ||||
\(917\) | −1.84796 | − | 23.4805i | −0.0610249 | − | 0.775395i | ||||
\(918\) | −42.1566 | − | 30.2792i | −1.39137 | − | 0.999363i | ||||
\(919\) | −23.2820 | − | 27.2598i | −0.768004 | − | 0.899217i | 0.229243 | − | 0.973369i | \(-0.426375\pi\) |
−0.997247 | + | 0.0741523i | \(0.976375\pi\) | |||||||
\(920\) | −12.8822 | + | 9.68484i | −0.424713 | + | 0.319300i | ||||
\(921\) | −2.32419 | + | 9.68093i | −0.0765845 | + | 0.318997i | ||||
\(922\) | 4.37241 | + | 26.6658i | 0.143998 | + | 0.878193i | ||||
\(923\) | −22.8471 | + | 3.61863i | −0.752022 | + | 0.119109i | ||||
\(924\) | 8.40410 | − | 36.7648i | 0.276474 | − | 1.20947i | ||||
\(925\) | 4.35524 | + | 5.99448i | 0.143199 | + | 0.197097i | ||||
\(926\) | −23.6500 | − | 27.3872i | −0.777187 | − | 0.900000i | ||||
\(927\) | 1.36634 | + | 0.992707i | 0.0448766 | + | 0.0326048i | ||||
\(928\) | −0.890141 | − | 8.38492i | −0.0292203 | − | 0.275248i | ||||
\(929\) | −12.8165 | + | 5.30875i | −0.420494 | + | 0.174175i | −0.582890 | − | 0.812551i | \(-0.698078\pi\) |
0.162395 | + | 0.986726i | \(0.448078\pi\) | |||||||
\(930\) | 3.18328 | + | 12.9483i | 0.104384 | + | 0.424592i | ||||
\(931\) | −2.51301 | + | 2.94236i | −0.0823607 | + | 0.0964320i | ||||
\(932\) | 22.6771 | + | 1.53646i | 0.742814 | + | 0.0503284i | ||||
\(933\) | −17.6803 | + | 5.74468i | −0.578827 | + | 0.188072i | ||||
\(934\) | −17.6015 | + | 17.7942i | −0.575939 | + | 0.582245i | ||||
\(935\) | −16.8116 | + | 32.9946i | −0.549798 | + | 1.07904i | ||||
\(936\) | −21.2120 | + | 13.4802i | −0.693335 | + | 0.440613i | ||||
\(937\) | 26.1176 | − | 42.6201i | 0.853226 | − | 1.39234i | −0.0656718 | − | 0.997841i | \(-0.520919\pi\) |
0.918897 | − | 0.394496i | \(-0.129081\pi\) | |||||||
\(938\) | −29.9115 | + | 15.4464i | −0.976644 | + | 0.504342i | ||||
\(939\) | −4.89523 | − | 1.59056i | −0.159750 | − | 0.0519058i | ||||
\(940\) | 2.71275 | − | 6.75633i | 0.0884801 | − | 0.220367i | ||||
\(941\) | 6.95395 | + | 1.10140i | 0.226692 | + | 0.0359045i | 0.268747 | − | 0.963211i | \(-0.413390\pi\) |
−0.0420548 | + | 0.999115i | \(0.513390\pi\) | |||||||
\(942\) | −0.0222728 | − | 4.09064i | −0.000725687 | − | 0.133280i | ||||
\(943\) | 28.9715 | − | 21.1139i | 0.943442 | − | 0.687564i | ||||
\(944\) | 0.118003 | + | 5.41732i | 0.00384067 | + | 0.176319i | ||||
\(945\) | 2.47839 | − | 15.6479i | 0.0806220 | − | 0.509027i | ||||
\(946\) | −3.96557 | − | 1.61735i | −0.128932 | − | 0.0525847i | ||||
\(947\) | −14.3484 | + | 44.1599i | −0.466261 | + | 1.43500i | 0.391130 | + | 0.920336i | \(0.372084\pi\) |
−0.857390 | + | 0.514667i | \(0.827916\pi\) | |||||||
\(948\) | −13.3735 | + | 6.99859i | −0.434350 | + | 0.227304i | ||||
\(949\) | 16.5966 | + | 10.1704i | 0.538749 | + | 0.330146i | ||||
\(950\) | 18.6223 | − | 11.5517i | 0.604189 | − | 0.374787i | ||||
\(951\) | −6.79694 | − | 3.46321i | −0.220406 | − | 0.112302i | ||||
\(952\) | −38.2863 | − | 37.0556i | −1.24087 | − | 1.20098i | ||||
\(953\) | −14.6011 | − | 44.9375i | −0.472976 | − | 1.45567i | −0.848668 | − | 0.528925i | \(-0.822595\pi\) |
0.375693 | − | 0.926744i | \(-0.377405\pi\) | |||||||
\(954\) | −13.1746 | − | 0.964714i | −0.426542 | − | 0.0312338i | ||||
\(955\) | −10.6353 | − | 9.08344i | −0.344152 | − | 0.293933i | ||||
\(956\) | −7.52554 | + | 1.89363i | −0.243393 | + | 0.0612443i | ||||
\(957\) | −3.80530 | − | 9.18680i | −0.123008 | − | 0.296967i | ||||
\(958\) | 3.93727 | + | 46.7706i | 0.127207 | + | 1.51109i | ||||
\(959\) | 18.4164 | − | 25.3480i | 0.594697 | − | 0.818530i | ||||
\(960\) | 6.70494 | + | 7.35012i | 0.216401 | + | 0.237224i | ||||
\(961\) | −21.4224 | + | 15.5643i | −0.691047 | + | 0.502075i | ||||
\(962\) | −15.1758 | − | 3.55611i | −0.489288 | − | 0.114654i | ||||
\(963\) | 0.923704 | + | 5.83204i | 0.0297659 | + | 0.187935i | ||||
\(964\) | −6.21920 | − | 36.6770i | −0.200307 | − | 1.18129i | ||||
\(965\) | 16.1807 | + | 3.88463i | 0.520874 | + | 0.125051i | ||||
\(966\) | −16.1944 | − | 22.0363i | −0.521045 | − | 0.709006i | ||||
\(967\) | 4.47217 | − | 3.81960i | 0.143815 | − | 0.122830i | −0.574630 | − | 0.818413i | \(-0.694854\pi\) |
0.718445 | + | 0.695583i | \(0.244854\pi\) | |||||||
\(968\) | −43.5378 | − | 30.5582i | −1.39936 | − | 0.982177i | ||||
\(969\) | −31.7338 | + | 2.49750i | −1.01944 | + | 0.0802314i | ||||
\(970\) | −1.72483 | − | 4.10082i | −0.0553811 | − | 0.131669i | ||||
\(971\) | 6.66976 | + | 27.7816i | 0.214043 | + | 0.891553i | 0.971190 | + | 0.238308i | \(0.0765928\pi\) |
−0.757147 | + | 0.653245i | \(0.773407\pi\) | |||||||
\(972\) | 17.7244 | − | 21.2162i | 0.568512 | − | 0.680510i | ||||
\(973\) | −16.4791 | − | 1.29693i | −0.528295 | − | 0.0415777i | ||||
\(974\) | 22.4179 | − | 7.41922i | 0.718317 | − | 0.237727i | ||||
\(975\) | 20.1966 | + | 20.1966i | 0.646808 | + | 0.646808i | ||||
\(976\) | 30.7865 | + | 14.8511i | 0.985453 | + | 0.475372i | ||||
\(977\) | 7.89289 | + | 12.8800i | 0.252516 | + | 0.412068i | 0.953630 | − | 0.300980i | \(-0.0973138\pi\) |
−0.701115 | + | 0.713049i | \(0.747314\pi\) | |||||||
\(978\) | 6.61298 | + | 4.00308i | 0.211460 | + | 0.128004i | ||||
\(979\) | 70.9082 | − | 36.1295i | 2.26623 | − | 1.15470i | ||||
\(980\) | 0.601752 | − | 1.92301i | 0.0192223 | − | 0.0614282i | ||||
\(981\) | 20.8327 | + | 8.62919i | 0.665137 | + | 0.275509i | ||||
\(982\) | −51.9003 | − | 7.93078i | −1.65621 | − | 0.253081i | ||||
\(983\) | 33.9174 | 1.08180 | 0.540899 | − | 0.841088i | \(-0.318084\pi\) | ||||
0.540899 | + | 0.841088i | \(0.318084\pi\) | |||||||
\(984\) | −14.6693 | − | 16.5691i | −0.467641 | − | 0.528204i | ||||
\(985\) | −8.82309 | −0.281127 | ||||||||
\(986\) | −13.8875 | − | 2.12212i | −0.442268 | − | 0.0675821i | ||||
\(987\) | 11.4134 | + | 4.72759i | 0.363293 | + | 0.150481i | ||||
\(988\) | −13.7671 | + | 43.9954i | −0.437991 | + | 1.39968i | ||||
\(989\) | −2.76704 | + | 1.40988i | −0.0879868 | + | 0.0448315i | ||||
\(990\) | −10.1301 | − | 6.13213i | −0.321956 | − | 0.194892i | ||||
\(991\) | 1.44515 | + | 2.35828i | 0.0459068 | + | 0.0749131i | 0.874770 | − | 0.484538i | \(-0.161012\pi\) |
−0.828864 | + | 0.559451i | \(0.811012\pi\) | |||||||
\(992\) | −18.4232 | + | 38.7290i | −0.584936 | + | 1.22965i | ||||
\(993\) | 27.6579 | + | 27.6579i | 0.877697 | + | 0.877697i | ||||
\(994\) | 14.8876 | − | 4.92706i | 0.472207 | − | 0.156277i | ||||
\(995\) | −4.76835 | − | 0.375278i | −0.151167 | − | 0.0118971i | ||||
\(996\) | −2.13738 | + | 2.55845i | −0.0677254 | + | 0.0810675i | ||||
\(997\) | −0.754270 | − | 3.14176i | −0.0238880 | − | 0.0995005i | 0.959152 | − | 0.282890i | \(-0.0912931\pi\) |
−0.983040 | + | 0.183389i | \(0.941293\pi\) | |||||||
\(998\) | −15.6417 | − | 37.1885i | −0.495131 | − | 1.17718i | ||||
\(999\) | 10.2618 | − | 0.807618i | 0.324668 | − | 0.0255519i |
(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 | 164.2.o.b.111.2 | yes | 288 | |
4.3 | odd | 2 | inner | 164.2.o.b.111.18 | yes | 288 | |
41.17 | odd | 40 | inner | 164.2.o.b.99.18 | yes | 288 | |
164.99 | even | 40 | inner | 164.2.o.b.99.2 | ✓ | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
164.2.o.b.99.2 | ✓ | 288 | 164.99 | even | 40 | inner | |
164.2.o.b.99.18 | yes | 288 | 41.17 | odd | 40 | inner | |
164.2.o.b.111.2 | yes | 288 | 1.1 | even | 1 | trivial | |
164.2.o.b.111.18 | yes | 288 | 4.3 | odd | 2 | inner |