Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(16,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(110))
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("605.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.s (of order \(55\), degree \(40\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(880\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{55})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{55}]$ |
Embedding invariants
Embedding label | 16.6 | ||
Character | \(\chi\) | \(=\) | 605.16 |
Dual form | 605.2.s.b.416.6 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{55}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.56544 | − | 0.179618i | −1.10693 | − | 0.127009i | −0.458804 | − | 0.888538i | \(-0.651722\pi\) |
−0.648131 | + | 0.761529i | \(0.724449\pi\) | |||||||
\(3\) | 1.90128 | + | 1.38136i | 1.09771 | + | 0.797531i | 0.980684 | − | 0.195599i | \(-0.0626650\pi\) |
0.117023 | + | 0.993129i | \(0.462665\pi\) | |||||||
\(4\) | 0.470322 | + | 0.109369i | 0.235161 | + | 0.0546844i | ||||
\(5\) | −0.564443 | + | 0.825472i | −0.252427 | + | 0.369162i | ||||
\(6\) | −2.72823 | − | 2.50395i | −1.11380 | − | 1.02223i | ||||
\(7\) | −2.64879 | − | 2.72554i | −1.00115 | − | 1.03016i | −0.999545 | − | 0.0301588i | \(-0.990399\pi\) |
−0.00160345 | − | 0.999999i | \(-0.500510\pi\) | |||||||
\(8\) | 2.25154 | + | 0.803346i | 0.796038 | + | 0.284026i | ||||
\(9\) | 0.779664 | + | 2.39956i | 0.259888 | + | 0.799853i | ||||
\(10\) | 1.03187 | − | 1.19084i | 0.326307 | − | 0.376578i | ||||
\(11\) | 0.907456 | − | 3.19007i | 0.273608 | − | 0.961841i | ||||
\(12\) | 0.743138 | + | 0.857627i | 0.214525 | + | 0.247575i | ||||
\(13\) | −0.131046 | + | 0.217315i | −0.0363455 | + | 0.0602723i | −0.873991 | − | 0.485941i | \(-0.838477\pi\) |
0.837646 | + | 0.546214i | \(0.183931\pi\) | |||||||
\(14\) | 3.65697 | + | 4.74245i | 0.977367 | + | 1.26747i | ||||
\(15\) | −2.21344 | + | 0.789755i | −0.571509 | + | 0.203914i | ||||
\(16\) | −4.24701 | − | 2.08811i | −1.06175 | − | 0.522028i | ||||
\(17\) | 3.47672 | − | 2.84290i | 0.843228 | − | 0.689504i | −0.109282 | − | 0.994011i | \(-0.534855\pi\) |
0.952510 | + | 0.304507i | \(0.0984917\pi\) | |||||||
\(18\) | −0.789515 | − | 3.89641i | −0.186091 | − | 0.918393i | ||||
\(19\) | 5.20092 | + | 0.297399i | 1.19317 | + | 0.0682281i | 0.642361 | − | 0.766402i | \(-0.277955\pi\) |
0.550811 | + | 0.834630i | \(0.314319\pi\) | |||||||
\(20\) | −0.355751 | + | 0.326505i | −0.0795483 | + | 0.0730088i | ||||
\(21\) | −1.27114 | − | 8.84097i | −0.277385 | − | 1.92926i | ||||
\(22\) | −1.99356 | + | 4.83087i | −0.425029 | + | 1.02994i | ||||
\(23\) | 0.0344520 | − | 0.239619i | 0.00718375 | − | 0.0499641i | −0.985914 | − | 0.167252i | \(-0.946511\pi\) |
0.993098 | + | 0.117287i | \(0.0374199\pi\) | |||||||
\(24\) | 3.17109 | + | 4.63758i | 0.647297 | + | 0.946642i | ||||
\(25\) | −0.362808 | − | 0.931864i | −0.0725615 | − | 0.186373i | ||||
\(26\) | 0.244178 | − | 0.316656i | 0.0478872 | − | 0.0621013i | ||||
\(27\) | 0.346377 | − | 1.06604i | 0.0666602 | − | 0.205159i | ||||
\(28\) | −0.947696 | − | 1.57158i | −0.179098 | − | 0.297000i | ||||
\(29\) | 1.89222 | − | 4.86012i | 0.351376 | − | 0.902502i | −0.639630 | − | 0.768683i | \(-0.720912\pi\) |
0.991006 | − | 0.133819i | \(-0.0427240\pi\) | |||||||
\(30\) | 3.60687 | − | 0.838742i | 0.658522 | − | 0.153133i | ||||
\(31\) | 4.47021 | + | 1.88913i | 0.802873 | + | 0.339297i | 0.751794 | − | 0.659398i | \(-0.229189\pi\) |
0.0510785 | + | 0.998695i | \(0.483734\pi\) | |||||||
\(32\) | 2.25125 | + | 1.44679i | 0.397968 | + | 0.255759i | ||||
\(33\) | 6.13197 | − | 4.81170i | 1.06744 | − | 0.837609i | ||||
\(34\) | −5.95323 | + | 3.82591i | −1.02097 | + | 0.656138i | ||||
\(35\) | 3.74495 | − | 0.648089i | 0.633012 | − | 0.109547i | ||||
\(36\) | 0.104256 | + | 1.21384i | 0.0173761 | + | 0.202306i | ||||
\(37\) | −0.554981 | + | 6.46153i | −0.0912383 | + | 1.06227i | 0.797336 | + | 0.603536i | \(0.206242\pi\) |
−0.888574 | + | 0.458733i | \(0.848303\pi\) | |||||||
\(38\) | −8.08832 | − | 1.39974i | −1.31210 | − | 0.227068i | ||||
\(39\) | −0.549346 | + | 0.232155i | −0.0879657 | + | 0.0371746i | ||||
\(40\) | −1.93400 | + | 1.40514i | −0.305793 | + | 0.222171i | ||||
\(41\) | 0.676865 | − | 0.382243i | 0.105709 | − | 0.0596964i | −0.437972 | − | 0.898989i | \(-0.644303\pi\) |
0.543681 | + | 0.839292i | \(0.317030\pi\) | |||||||
\(42\) | 0.401900 | + | 14.0683i | 0.0620145 | + | 2.17079i | ||||
\(43\) | 2.38460 | − | 0.700182i | 0.363648 | − | 0.106777i | −0.0948037 | − | 0.995496i | \(-0.530222\pi\) |
0.458452 | + | 0.888719i | \(0.348404\pi\) | |||||||
\(44\) | 0.775690 | − | 1.40111i | 0.116940 | − | 0.211225i | ||||
\(45\) | −2.42084 | − | 0.710824i | −0.360878 | − | 0.105963i | ||||
\(46\) | −0.0969725 | + | 0.368922i | −0.0142978 | + | 0.0543945i | ||||
\(47\) | −0.953313 | + | 4.70479i | −0.139055 | + | 0.686264i | 0.848526 | + | 0.529154i | \(0.177490\pi\) |
−0.987581 | + | 0.157110i | \(0.949782\pi\) | |||||||
\(48\) | −5.19032 | − | 9.83676i | −0.749159 | − | 1.41981i | ||||
\(49\) | −0.212590 | + | 7.44162i | −0.0303700 | + | 1.06309i | ||||
\(50\) | 0.400575 | + | 1.52395i | 0.0566499 | + | 0.215518i | ||||
\(51\) | 10.5373 | − | 0.602545i | 1.47552 | − | 0.0843731i | ||||
\(52\) | −0.0854011 | + | 0.0878756i | −0.0118430 | + | 0.0121862i | ||||
\(53\) | −7.09840 | + | 3.49005i | −0.975040 | + | 0.479395i | −0.857954 | − | 0.513727i | \(-0.828264\pi\) |
−0.117086 | + | 0.993122i | \(0.537355\pi\) | |||||||
\(54\) | −0.733712 | + | 1.60660i | −0.0998455 | + | 0.218631i | ||||
\(55\) | 2.12110 | + | 2.54969i | 0.286009 | + | 0.343800i | ||||
\(56\) | −3.77429 | − | 8.26455i | −0.504361 | − | 1.10440i | ||||
\(57\) | 9.47760 | + | 7.74980i | 1.25534 | + | 1.02649i | ||||
\(58\) | −3.83512 | + | 7.26836i | −0.503576 | + | 0.954383i | ||||
\(59\) | −0.379350 | − | 0.214229i | −0.0493872 | − | 0.0278902i | 0.466842 | − | 0.884341i | \(-0.345392\pi\) |
−0.516229 | + | 0.856451i | \(0.672665\pi\) | |||||||
\(60\) | −1.12741 | + | 0.129358i | −0.145547 | + | 0.0167000i | ||||
\(61\) | 7.35018 | − | 0.843355i | 0.941094 | − | 0.107981i | 0.370152 | − | 0.928971i | \(-0.379305\pi\) |
0.570942 | + | 0.820991i | \(0.306578\pi\) | |||||||
\(62\) | −6.65853 | − | 3.76024i | −0.845634 | − | 0.477551i | ||||
\(63\) | 4.47493 | − | 8.48093i | 0.563788 | − | 1.06850i | ||||
\(64\) | 4.06304 | + | 3.32233i | 0.507880 | + | 0.415292i | ||||
\(65\) | −0.105419 | − | 0.230836i | −0.0130757 | − | 0.0286317i | ||||
\(66\) | −10.4635 | + | 6.43102i | −1.28797 | + | 0.791604i | ||||
\(67\) | 5.19807 | − | 11.3822i | 0.635045 | − | 1.39055i | −0.269010 | − | 0.963137i | \(-0.586696\pi\) |
0.904055 | − | 0.427417i | \(-0.140576\pi\) | |||||||
\(68\) | 1.94610 | − | 0.956833i | 0.235999 | − | 0.116033i | ||||
\(69\) | 0.396504 | − | 0.407993i | 0.0477335 | − | 0.0491166i | ||||
\(70\) | −5.97891 | + | 0.341886i | −0.714616 | + | 0.0408632i | ||||
\(71\) | −3.47201 | − | 13.2089i | −0.412051 | − | 1.56761i | −0.772617 | − | 0.634872i | \(-0.781053\pi\) |
0.360566 | − | 0.932734i | \(-0.382584\pi\) | |||||||
\(72\) | −0.172236 | + | 6.02903i | −0.0202982 | + | 0.710528i | ||||
\(73\) | 2.10516 | + | 3.98972i | 0.246390 | + | 0.466961i | 0.976253 | − | 0.216632i | \(-0.0695072\pi\) |
−0.729863 | + | 0.683593i | \(0.760416\pi\) | |||||||
\(74\) | 2.02940 | − | 10.0155i | 0.235912 | − | 1.16427i | ||||
\(75\) | 0.597443 | − | 2.27291i | 0.0689867 | − | 0.262453i | ||||
\(76\) | 2.41358 | + | 0.708691i | 0.276857 | + | 0.0812924i | ||||
\(77\) | −11.0983 | + | 5.97651i | −1.26477 | + | 0.681086i | ||||
\(78\) | 0.901668 | − | 0.264754i | 0.102094 | − | 0.0299774i | ||||
\(79\) | −0.416684 | − | 14.5858i | −0.0468806 | − | 1.64103i | −0.594348 | − | 0.804208i | \(-0.702590\pi\) |
0.547468 | − | 0.836827i | \(-0.315592\pi\) | |||||||
\(80\) | 4.12087 | − | 2.32716i | 0.460728 | − | 0.260185i | ||||
\(81\) | 8.25471 | − | 5.99740i | 0.917190 | − | 0.666377i | ||||
\(82\) | −1.12825 | + | 0.476803i | −0.124595 | + | 0.0526541i | ||||
\(83\) | −2.86750 | − | 0.496241i | −0.314750 | − | 0.0544696i | 0.0109585 | − | 0.999940i | \(-0.496512\pi\) |
−0.325708 | + | 0.945470i | \(0.605603\pi\) | |||||||
\(84\) | 0.369080 | − | 4.29713i | 0.0402700 | − | 0.468855i | ||||
\(85\) | 0.384323 | + | 4.47459i | 0.0416856 | + | 0.485337i | ||||
\(86\) | −3.85872 | + | 0.667778i | −0.416096 | + | 0.0720083i | ||||
\(87\) | 10.3112 | − | 6.62663i | 1.10548 | − | 0.710449i | ||||
\(88\) | 4.60590 | − | 6.45355i | 0.490990 | − | 0.687950i | ||||
\(89\) | 2.74169 | + | 1.76198i | 0.290619 | + | 0.186769i | 0.677824 | − | 0.735224i | \(-0.262923\pi\) |
−0.387205 | + | 0.921994i | \(0.626559\pi\) | |||||||
\(90\) | 3.66201 | + | 1.54758i | 0.386010 | + | 0.163129i | ||||
\(91\) | 0.939413 | − | 0.218451i | 0.0984772 | − | 0.0228999i | ||||
\(92\) | 0.0424104 | − | 0.108930i | 0.00442159 | − | 0.0113568i | ||||
\(93\) | 5.88956 | + | 9.76674i | 0.610719 | + | 1.01276i | ||||
\(94\) | 2.33742 | − | 7.19384i | 0.241086 | − | 0.741988i | ||||
\(95\) | −3.18112 | + | 4.12535i | −0.326376 | + | 0.423252i | ||||
\(96\) | 2.28172 | + | 5.86055i | 0.232877 | + | 0.598140i | ||||
\(97\) | 4.83614 | + | 7.07263i | 0.491035 | + | 0.718117i | 0.988808 | − | 0.149191i | \(-0.0476669\pi\) |
−0.497773 | + | 0.867307i | \(0.665849\pi\) | |||||||
\(98\) | 1.66945 | − | 11.6112i | 0.168639 | − | 1.17291i | ||||
\(99\) | 8.36226 | − | 0.309686i | 0.840439 | − | 0.0311246i | ||||
\(100\) | −0.0687197 | − | 0.477956i | −0.00687197 | − | 0.0477956i | ||||
\(101\) | 9.13978 | − | 8.38842i | 0.909442 | − | 0.834679i | −0.0772943 | − | 0.997008i | \(-0.524628\pi\) |
0.986737 | + | 0.162330i | \(0.0519008\pi\) | |||||||
\(102\) | −16.6038 | − | 0.949437i | −1.64402 | − | 0.0940083i | ||||
\(103\) | 2.45779 | + | 12.1297i | 0.242173 | + | 1.19517i | 0.897909 | + | 0.440181i | \(0.145086\pi\) |
−0.655736 | + | 0.754990i | \(0.727642\pi\) | |||||||
\(104\) | −0.469633 | + | 0.384017i | −0.0460513 | + | 0.0376560i | ||||
\(105\) | 8.01546 | + | 3.94093i | 0.782229 | + | 0.384596i | ||||
\(106\) | 11.7390 | − | 4.18847i | 1.14019 | − | 0.406820i | ||||
\(107\) | −4.79071 | − | 6.21271i | −0.463136 | − | 0.600605i | 0.501185 | − | 0.865340i | \(-0.332897\pi\) |
−0.964321 | + | 0.264735i | \(0.914716\pi\) | |||||||
\(108\) | 0.279500 | − | 0.463498i | 0.0268949 | − | 0.0446001i | ||||
\(109\) | −10.7966 | − | 12.4599i | −1.03413 | − | 1.19345i | −0.980830 | − | 0.194868i | \(-0.937572\pi\) |
−0.0532977 | − | 0.998579i | \(-0.516973\pi\) | |||||||
\(110\) | −2.86249 | − | 4.37238i | −0.272928 | − | 0.416890i | ||||
\(111\) | −9.98090 | + | 11.5186i | −0.947345 | + | 1.09329i | ||||
\(112\) | 5.55819 | + | 17.1064i | 0.525200 | + | 1.61640i | ||||
\(113\) | −6.48790 | − | 2.31488i | −0.610330 | − | 0.217765i | 0.0127557 | − | 0.999919i | \(-0.495940\pi\) |
−0.623086 | + | 0.782153i | \(0.714121\pi\) | |||||||
\(114\) | −13.4446 | − | 13.8342i | −1.25921 | − | 1.29569i | ||||
\(115\) | 0.178353 | + | 0.163691i | 0.0166315 | + | 0.0152642i | ||||
\(116\) | 1.42150 | − | 2.07887i | 0.131983 | − | 0.193019i | ||||
\(117\) | −0.623631 | − | 0.145019i | −0.0576547 | − | 0.0134070i | ||||
\(118\) | 0.555372 | + | 0.403501i | 0.0511261 | + | 0.0371453i | ||||
\(119\) | −16.9575 | − | 1.94569i | −1.55449 | − | 0.178362i | ||||
\(120\) | −5.61809 | −0.512859 | ||||||||
\(121\) | −9.35305 | − | 5.78969i | −0.850277 | − | 0.526335i | ||||
\(122\) | −11.6578 | −1.05544 | ||||||||
\(123\) | 1.81493 | + | 0.208244i | 0.163647 | + | 0.0187767i | ||||
\(124\) | 1.89583 | + | 1.37740i | 0.170250 | + | 0.123694i | ||||
\(125\) | 0.974012 | + | 0.226497i | 0.0871183 | + | 0.0202585i | ||||
\(126\) | −8.52857 | + | 12.4726i | −0.759785 | + | 1.11115i | ||||
\(127\) | 13.0853 | + | 12.0096i | 1.16113 | + | 1.06568i | 0.996854 | + | 0.0792652i | \(0.0252574\pi\) |
0.164280 | + | 0.986414i | \(0.447470\pi\) | |||||||
\(128\) | −9.49380 | − | 9.76889i | −0.839142 | − | 0.863456i | ||||
\(129\) | 5.50101 | + | 1.96276i | 0.484337 | + | 0.172811i | ||||
\(130\) | 0.123566 | + | 0.380296i | 0.0108374 | + | 0.0333542i | ||||
\(131\) | −6.12551 | + | 7.06921i | −0.535188 | + | 0.617640i | −0.957368 | − | 0.288872i | \(-0.906720\pi\) |
0.422180 | + | 0.906512i | \(0.361265\pi\) | |||||||
\(132\) | 3.41025 | − | 1.59240i | 0.296824 | − | 0.138601i | ||||
\(133\) | −12.9656 | − | 14.9631i | −1.12426 | − | 1.29746i | ||||
\(134\) | −10.1817 | + | 16.8845i | −0.879566 | + | 1.45860i | ||||
\(135\) | 0.684474 | + | 0.887642i | 0.0589102 | + | 0.0763961i | ||||
\(136\) | 10.1118 | − | 3.60788i | 0.867078 | − | 0.309373i | ||||
\(137\) | −12.4179 | − | 6.10545i | −1.06093 | − | 0.521624i | −0.174581 | − | 0.984643i | \(-0.555857\pi\) |
−0.886348 | + | 0.463019i | \(0.846766\pi\) | |||||||
\(138\) | −0.693987 | + | 0.567471i | −0.0590761 | + | 0.0483063i | ||||
\(139\) | 1.93791 | + | 9.56398i | 0.164372 | + | 0.811207i | 0.974401 | + | 0.224817i | \(0.0721784\pi\) |
−0.810029 | + | 0.586389i | \(0.800549\pi\) | |||||||
\(140\) | 1.83221 | + | 0.104770i | 0.154850 | + | 0.00885466i | ||||
\(141\) | −8.31154 | + | 7.62826i | −0.699958 | + | 0.642416i | ||||
\(142\) | 3.06268 | + | 21.3014i | 0.257014 | + | 1.78757i | ||||
\(143\) | 0.574330 | + | 0.615248i | 0.0480279 | + | 0.0514496i | ||||
\(144\) | 1.69931 | − | 11.8190i | 0.141609 | − | 0.984914i | ||||
\(145\) | 2.94384 | + | 4.30524i | 0.244473 | + | 0.357530i | ||||
\(146\) | −2.57888 | − | 6.62380i | −0.213430 | − | 0.548189i | ||||
\(147\) | −10.6838 | + | 13.8550i | −0.881184 | + | 1.14274i | ||||
\(148\) | −0.967709 | + | 2.97830i | −0.0795452 | + | 0.244815i | ||||
\(149\) | −4.51934 | − | 7.49448i | −0.370238 | − | 0.613971i | 0.614314 | − | 0.789062i | \(-0.289433\pi\) |
−0.984552 | + | 0.175090i | \(0.943978\pi\) | |||||||
\(150\) | −1.34352 | + | 3.45079i | −0.109698 | + | 0.281756i | ||||
\(151\) | −20.2117 | + | 4.70003i | −1.64481 | + | 0.382483i | −0.943759 | − | 0.330633i | \(-0.892738\pi\) |
−0.701046 | + | 0.713116i | \(0.747283\pi\) | |||||||
\(152\) | 11.4711 | + | 4.84774i | 0.930432 | + | 0.393204i | ||||
\(153\) | 9.53237 | + | 6.12608i | 0.770646 | + | 0.495264i | ||||
\(154\) | 18.4473 | − | 7.36242i | 1.48652 | − | 0.593281i | ||||
\(155\) | −4.08260 | + | 2.62373i | −0.327922 | + | 0.210743i | ||||
\(156\) | −0.283760 | + | 0.0491066i | −0.0227190 | + | 0.00393167i | ||||
\(157\) | 1.46999 | + | 17.1148i | 0.117318 | + | 1.36591i | 0.784091 | + | 0.620646i | \(0.213130\pi\) |
−0.666773 | + | 0.745261i | \(0.732325\pi\) | |||||||
\(158\) | −1.96758 | + | 22.9081i | −0.156532 | + | 1.82247i | ||||
\(159\) | −18.3171 | − | 3.16990i | −1.45264 | − | 0.251389i | ||||
\(160\) | −2.46499 | + | 1.04171i | −0.194874 | + | 0.0823545i | ||||
\(161\) | −0.744348 | + | 0.540801i | −0.0586629 | + | 0.0426211i | ||||
\(162\) | −13.9995 | + | 7.90588i | −1.09990 | + | 0.621145i | ||||
\(163\) | 0.233148 | + | 8.16125i | 0.0182616 | + | 0.639238i | 0.956247 | + | 0.292562i | \(0.0945078\pi\) |
−0.937985 | + | 0.346676i | \(0.887310\pi\) | |||||||
\(164\) | 0.360150 | − | 0.105750i | 0.0281230 | − | 0.00825766i | ||||
\(165\) | 0.510769 | + | 7.77770i | 0.0397633 | + | 0.605493i | ||||
\(166\) | 4.39978 | + | 1.29189i | 0.341489 | + | 0.100270i | ||||
\(167\) | −2.77587 | + | 10.5605i | −0.214803 | + | 0.817197i | 0.769194 | + | 0.639015i | \(0.220658\pi\) |
−0.983998 | + | 0.178182i | \(0.942978\pi\) | |||||||
\(168\) | 4.24034 | − | 20.9269i | 0.327150 | − | 1.61455i | ||||
\(169\) | 6.03662 | + | 11.4407i | 0.464356 | + | 0.880052i | ||||
\(170\) | 0.202080 | − | 7.07374i | 0.0154989 | − | 0.542531i | ||||
\(171\) | 3.34134 | + | 12.7118i | 0.255519 | + | 0.972094i | ||||
\(172\) | 1.19811 | − | 0.0685103i | 0.0913549 | − | 0.00522386i | ||||
\(173\) | −7.87239 | + | 8.10050i | −0.598527 | + | 0.615870i | −0.946916 | − | 0.321480i | \(-0.895820\pi\) |
0.348389 | + | 0.937350i | \(0.386729\pi\) | |||||||
\(174\) | −17.3319 | + | 8.52152i | −1.31393 | + | 0.646015i | ||||
\(175\) | −1.57883 | + | 3.45716i | −0.119348 | + | 0.261337i | ||||
\(176\) | −10.5152 | + | 11.6534i | −0.792612 | + | 0.878406i | ||||
\(177\) | −0.425325 | − | 0.931331i | −0.0319694 | − | 0.0700031i | ||||
\(178\) | −3.97548 | − | 3.25073i | −0.297975 | − | 0.243653i | ||||
\(179\) | 10.8876 | − | 20.6343i | 0.813779 | − | 1.54228i | −0.0261961 | − | 0.999657i | \(-0.508339\pi\) |
0.839975 | − | 0.542625i | \(-0.182570\pi\) | |||||||
\(180\) | −1.06083 | − | 0.599081i | −0.0790699 | − | 0.0446528i | ||||
\(181\) | −17.0738 | + | 1.95904i | −1.26909 | + | 0.145614i | −0.722254 | − | 0.691628i | \(-0.756894\pi\) |
−0.546833 | + | 0.837242i | \(0.684167\pi\) | |||||||
\(182\) | −1.50983 | + | 0.173237i | −0.111916 | + | 0.0128412i | ||||
\(183\) | 15.1398 | + | 8.54982i | 1.11916 | + | 0.632021i | ||||
\(184\) | 0.270067 | − | 0.511834i | 0.0199096 | − | 0.0377329i | ||||
\(185\) | −5.02055 | − | 4.10529i | −0.369118 | − | 0.301827i | ||||
\(186\) | −7.46549 | − | 16.3471i | −0.547396 | − | 1.19863i | ||||
\(187\) | −5.91406 | − | 13.6708i | −0.432479 | − | 0.999705i | ||||
\(188\) | −0.962921 | + | 2.10850i | −0.0702282 | + | 0.153778i | ||||
\(189\) | −3.82301 | + | 1.87965i | −0.278083 | + | 0.136724i | ||||
\(190\) | 5.72084 | − | 5.88660i | 0.415033 | − | 0.427059i | ||||
\(191\) | 22.0678 | − | 1.26188i | 1.59677 | − | 0.0913067i | 0.764109 | − | 0.645087i | \(-0.223179\pi\) |
0.832663 | + | 0.553781i | \(0.186815\pi\) | |||||||
\(192\) | 3.13565 | + | 11.9292i | 0.226296 | + | 0.860918i | ||||
\(193\) | 0.362717 | − | 12.6968i | 0.0261090 | − | 0.913933i | −0.875971 | − | 0.482364i | \(-0.839778\pi\) |
0.902080 | − | 0.431569i | \(-0.142040\pi\) | |||||||
\(194\) | −6.30032 | − | 11.9404i | −0.452337 | − | 0.857274i | ||||
\(195\) | 0.118437 | − | 0.584508i | 0.00848143 | − | 0.0418575i | ||||
\(196\) | −0.913867 | + | 3.47671i | −0.0652762 | + | 0.248336i | ||||
\(197\) | −11.3547 | − | 3.33404i | −0.808989 | − | 0.237541i | −0.149021 | − | 0.988834i | \(-0.547612\pi\) |
−0.659968 | + | 0.751294i | \(0.729430\pi\) | |||||||
\(198\) | −13.1463 | − | 1.01722i | −0.934264 | − | 0.0722903i | ||||
\(199\) | 4.56574 | − | 1.34062i | 0.323657 | − | 0.0950343i | −0.115868 | − | 0.993265i | \(-0.536965\pi\) |
0.439525 | + | 0.898230i | \(0.355147\pi\) | |||||||
\(200\) | −0.0682649 | − | 2.38958i | −0.00482706 | − | 0.168969i | ||||
\(201\) | 25.6059 | − | 14.4603i | 1.80610 | − | 1.01995i | ||||
\(202\) | −15.8145 | + | 11.4899i | −1.11270 | + | 0.808427i | ||||
\(203\) | −18.2585 | + | 7.71613i | −1.28150 | + | 0.541566i | ||||
\(204\) | 5.02182 | + | 0.869061i | 0.351598 | + | 0.0608464i | ||||
\(205\) | −0.0665208 | + | 0.774488i | −0.00464602 | + | 0.0540926i | ||||
\(206\) | −1.66882 | − | 19.4297i | −0.116272 | − | 1.35373i | ||||
\(207\) | 0.601841 | − | 0.104153i | 0.0418309 | − | 0.00723912i | ||||
\(208\) | 1.01033 | − | 0.649299i | 0.0700538 | − | 0.0450208i | ||||
\(209\) | 5.66833 | − | 16.3214i | 0.392086 | − | 1.12897i | ||||
\(210\) | −11.8399 | − | 7.60902i | −0.817029 | − | 0.525072i | ||||
\(211\) | 12.2907 | + | 5.19411i | 0.846130 | + | 0.357578i | 0.768848 | − | 0.639432i | \(-0.220830\pi\) |
0.0772822 | + | 0.997009i | \(0.475376\pi\) | |||||||
\(212\) | −3.72023 | + | 0.865103i | −0.255507 | + | 0.0594155i | ||||
\(213\) | 11.6450 | − | 29.9099i | 0.797902 | − | 2.04940i | ||||
\(214\) | 6.38367 | + | 10.5861i | 0.436379 | + | 0.723653i | ||||
\(215\) | −0.767991 | + | 2.36363i | −0.0523766 | + | 0.161198i | ||||
\(216\) | 1.63628 | − | 2.12196i | 0.111335 | − | 0.144381i | ||||
\(217\) | −6.69175 | − | 17.1876i | −0.454266 | − | 1.16677i | ||||
\(218\) | 14.6634 | + | 21.4446i | 0.993133 | + | 1.45241i | ||||
\(219\) | −1.50875 | + | 10.4936i | −0.101952 | + | 0.709090i | ||||
\(220\) | 0.718745 | + | 1.43116i | 0.0484578 | + | 0.0964887i | ||||
\(221\) | 0.162195 | + | 1.12809i | 0.0109104 | + | 0.0758836i | ||||
\(222\) | 17.6935 | − | 16.2389i | 1.18751 | − | 1.08988i | ||||
\(223\) | −6.55761 | − | 0.374978i | −0.439130 | − | 0.0251104i | −0.163874 | − | 0.986481i | \(-0.552399\pi\) |
−0.275256 | + | 0.961371i | \(0.588763\pi\) | |||||||
\(224\) | −2.01980 | − | 9.96811i | −0.134954 | − | 0.666022i | ||||
\(225\) | 1.95319 | − | 1.59712i | 0.130213 | − | 0.106475i | ||||
\(226\) | 9.74064 | + | 4.78915i | 0.647938 | + | 0.318570i | ||||
\(227\) | −10.2379 | + | 3.65287i | −0.679513 | + | 0.242450i | −0.653179 | − | 0.757204i | \(-0.726565\pi\) |
−0.0263337 | + | 0.999653i | \(0.508383\pi\) | |||||||
\(228\) | 3.60994 | + | 4.68145i | 0.239074 | + | 0.310037i | ||||
\(229\) | −5.84447 | + | 9.69197i | −0.386214 | + | 0.640463i | −0.987327 | − | 0.158700i | \(-0.949270\pi\) |
0.601113 | + | 0.799164i | \(0.294724\pi\) | |||||||
\(230\) | −0.249799 | − | 0.288283i | −0.0164713 | − | 0.0190088i | ||||
\(231\) | −29.3568 | − | 3.96777i | −1.93153 | − | 0.261060i | ||||
\(232\) | 8.16476 | − | 9.42263i | 0.536042 | − | 0.618626i | ||||
\(233\) | 3.01626 | + | 9.28309i | 0.197602 | + | 0.608156i | 0.999936 | + | 0.0112811i | \(0.00359096\pi\) |
−0.802335 | + | 0.596874i | \(0.796409\pi\) | |||||||
\(234\) | 0.950210 | + | 0.339034i | 0.0621172 | + | 0.0221634i | ||||
\(235\) | −3.34558 | − | 3.44252i | −0.218241 | − | 0.224565i | ||||
\(236\) | −0.154987 | − | 0.142246i | −0.0100888 | − | 0.00925941i | ||||
\(237\) | 19.3561 | − | 28.3074i | 1.25731 | − | 1.83876i | ||||
\(238\) | 26.1965 | + | 6.09174i | 1.69807 | + | 0.394869i | ||||
\(239\) | 8.58677 | + | 6.23865i | 0.555432 | + | 0.403545i | 0.829784 | − | 0.558084i | \(-0.188463\pi\) |
−0.274352 | + | 0.961629i | \(0.588463\pi\) | |||||||
\(240\) | 11.0496 | + | 1.26782i | 0.713249 | + | 0.0818377i | ||||
\(241\) | −10.9418 | −0.704823 | −0.352412 | − | 0.935845i | \(-0.614638\pi\) | ||||
−0.352412 | + | 0.935845i | \(0.614638\pi\) | |||||||
\(242\) | 13.6017 | + | 10.7434i | 0.874352 | + | 0.690612i | ||||
\(243\) | 20.6164 | 1.32254 | ||||||||
\(244\) | 3.54919 | + | 0.407231i | 0.227214 | + | 0.0260703i | ||||
\(245\) | −6.02286 | − | 4.37586i | −0.384786 | − | 0.279564i | ||||
\(246\) | −2.80376 | − | 0.651987i | −0.178761 | − | 0.0415692i | ||||
\(247\) | −0.746187 | + | 1.09126i | −0.0474787 | + | 0.0694354i | ||||
\(248\) | 8.54721 | + | 7.84455i | 0.542748 | + | 0.498130i | ||||
\(249\) | −4.76645 | − | 4.90456i | −0.302062 | − | 0.310814i | ||||
\(250\) | −1.48408 | − | 0.529517i | −0.0938612 | − | 0.0334896i | ||||
\(251\) | 3.51966 | + | 10.8324i | 0.222159 | + | 0.683734i | 0.998568 | + | 0.0535048i | \(0.0170393\pi\) |
−0.776409 | + | 0.630230i | \(0.782961\pi\) | |||||||
\(252\) | 3.03221 | − | 3.49935i | 0.191011 | − | 0.220438i | ||||
\(253\) | −0.733137 | − | 0.327348i | −0.0460920 | − | 0.0205802i | ||||
\(254\) | −18.3272 | − | 21.1507i | −1.14995 | − | 1.32711i | ||||
\(255\) | −5.45032 | + | 9.03835i | −0.341313 | + | 0.566003i | ||||
\(256\) | 6.69743 | + | 8.68538i | 0.418589 | + | 0.542836i | ||||
\(257\) | 17.7148 | − | 6.32063i | 1.10502 | − | 0.394270i | 0.280357 | − | 0.959896i | \(-0.409547\pi\) |
0.824662 | + | 0.565626i | \(0.191365\pi\) | |||||||
\(258\) | −8.25896 | − | 4.06066i | −0.514181 | − | 0.252806i | ||||
\(259\) | 19.0812 | − | 15.6026i | 1.18565 | − | 0.969499i | ||||
\(260\) | −0.0243348 | − | 0.120097i | −0.00150918 | − | 0.00744810i | ||||
\(261\) | 13.1374 | + | 0.751226i | 0.813187 | + | 0.0464997i | ||||
\(262\) | 10.8589 | − | 9.96619i | 0.670864 | − | 0.615713i | ||||
\(263\) | −0.354542 | − | 2.46589i | −0.0218620 | − | 0.152053i | 0.975966 | − | 0.217921i | \(-0.0699276\pi\) |
−0.997828 | + | 0.0658677i | \(0.979018\pi\) | |||||||
\(264\) | 17.6718 | − | 5.90760i | 1.08762 | − | 0.363588i | ||||
\(265\) | 1.12571 | − | 7.82946i | 0.0691516 | − | 0.480960i | ||||
\(266\) | 17.6092 | + | 25.7526i | 1.07969 | + | 1.57900i | ||||
\(267\) | 2.77880 | + | 7.13730i | 0.170060 | + | 0.436796i | ||||
\(268\) | 3.68962 | − | 4.78478i | 0.225379 | − | 0.292277i | ||||
\(269\) | −6.68364 | + | 20.5701i | −0.407509 | + | 1.25418i | 0.511273 | + | 0.859418i | \(0.329174\pi\) |
−0.918782 | + | 0.394765i | \(0.870826\pi\) | |||||||
\(270\) | −0.912069 | − | 1.51250i | −0.0555067 | − | 0.0920476i | ||||
\(271\) | −6.32130 | + | 16.2361i | −0.383992 | + | 0.986274i | 0.598691 | + | 0.800980i | \(0.295688\pi\) |
−0.982683 | + | 0.185295i | \(0.940676\pi\) | |||||||
\(272\) | −20.7019 | + | 4.81403i | −1.25524 | + | 0.291893i | ||||
\(273\) | 2.08785 | + | 0.882333i | 0.126362 | + | 0.0534012i | ||||
\(274\) | 18.3428 | + | 11.7882i | 1.10813 | + | 0.712151i | ||||
\(275\) | −3.30194 | + | 0.311755i | −0.199114 | + | 0.0187995i | ||||
\(276\) | 0.231106 | − | 0.148523i | 0.0139110 | − | 0.00894004i | ||||
\(277\) | 1.94783 | − | 0.337085i | 0.117034 | − | 0.0202535i | −0.111704 | − | 0.993741i | \(-0.535631\pi\) |
0.228738 | + | 0.973488i | \(0.426540\pi\) | |||||||
\(278\) | −1.31583 | − | 15.3199i | −0.0789183 | − | 0.918829i | ||||
\(279\) | −1.04781 | + | 12.1994i | −0.0627306 | + | 0.730359i | ||||
\(280\) | 8.95252 | + | 1.54930i | 0.535016 | + | 0.0925881i | ||||
\(281\) | 7.31242 | − | 3.09025i | 0.436222 | − | 0.184349i | −0.160089 | − | 0.987103i | \(-0.551178\pi\) |
0.596311 | + | 0.802754i | \(0.296633\pi\) | |||||||
\(282\) | 14.3814 | − | 10.4487i | 0.856400 | − | 0.622211i | ||||
\(283\) | −21.8098 | + | 12.3166i | −1.29646 | + | 0.732145i | −0.976548 | − | 0.215302i | \(-0.930927\pi\) |
−0.319913 | + | 0.947447i | \(0.603654\pi\) | |||||||
\(284\) | −0.188323 | − | 6.59216i | −0.0111749 | − | 0.391173i | ||||
\(285\) | −11.7468 | + | 3.44917i | −0.695821 | + | 0.204311i | ||||
\(286\) | −0.788572 | − | 1.06629i | −0.0466292 | − | 0.0630513i | ||||
\(287\) | −2.83469 | − | 0.832341i | −0.167327 | − | 0.0491316i | ||||
\(288\) | −1.71644 | + | 6.53001i | −0.101142 | + | 0.384785i | ||||
\(289\) | 0.629458 | − | 3.10650i | 0.0370269 | − | 0.182735i | ||||
\(290\) | −3.83512 | − | 7.26836i | −0.225206 | − | 0.426813i | ||||
\(291\) | −0.574997 | + | 20.1275i | −0.0337069 | + | 1.17990i | ||||
\(292\) | 0.553752 | + | 2.10669i | 0.0324059 | + | 0.123285i | ||||
\(293\) | −13.1413 | + | 0.751444i | −0.767721 | + | 0.0438999i | −0.436561 | − | 0.899675i | \(-0.643804\pi\) |
−0.331160 | + | 0.943575i | \(0.607440\pi\) | |||||||
\(294\) | 19.2134 | − | 19.7702i | 1.12055 | − | 1.15302i | ||||
\(295\) | 0.390962 | − | 0.192223i | 0.0227627 | − | 0.0111917i | ||||
\(296\) | −6.44040 | + | 14.1025i | −0.374341 | + | 0.819692i | ||||
\(297\) | −3.08641 | − | 2.07235i | −0.179092 | − | 0.120250i | ||||
\(298\) | 5.72862 | + | 12.5439i | 0.331850 | + | 0.726650i | ||||
\(299\) | 0.0475580 | + | 0.0388880i | 0.00275035 | + | 0.00224895i | ||||
\(300\) | 0.529575 | − | 1.00366i | 0.0305750 | − | 0.0579462i | ||||
\(301\) | −8.22468 | − | 4.64469i | −0.474063 | − | 0.267716i | ||||
\(302\) | 32.4845 | − | 3.72725i | 1.86927 | − | 0.214479i | ||||
\(303\) | 28.9648 | − | 3.32340i | 1.66398 | − | 0.190924i | ||||
\(304\) | −21.4673 | − | 12.1232i | −1.23124 | − | 0.695311i | ||||
\(305\) | −3.45259 | + | 6.54339i | −0.197695 | + | 0.374674i | ||||
\(306\) | −13.8220 | − | 11.3022i | −0.790152 | − | 0.646104i | ||||
\(307\) | 4.53365 | + | 9.92730i | 0.258749 | + | 0.566581i | 0.993768 | − | 0.111465i | \(-0.0355543\pi\) |
−0.735020 | + | 0.678046i | \(0.762827\pi\) | |||||||
\(308\) | −5.87343 | + | 1.59708i | −0.334669 | + | 0.0910018i | ||||
\(309\) | −12.0825 | + | 26.4570i | −0.687350 | + | 1.50509i | ||||
\(310\) | 6.86234 | − | 3.37398i | 0.389755 | − | 0.191629i | ||||
\(311\) | 19.2780 | − | 19.8366i | 1.09315 | − | 1.12483i | 0.101641 | − | 0.994821i | \(-0.467591\pi\) |
0.991513 | − | 0.130008i | \(-0.0415004\pi\) | |||||||
\(312\) | −1.42337 | + | 0.0813914i | −0.0805826 | + | 0.00460788i | ||||
\(313\) | −1.83492 | − | 6.98075i | −0.103716 | − | 0.394575i | 0.894953 | − | 0.446161i | \(-0.147209\pi\) |
−0.998669 | + | 0.0515852i | \(0.983573\pi\) | |||||||
\(314\) | 0.772934 | − | 27.0562i | 0.0436192 | − | 1.52687i | ||||
\(315\) | 4.47493 | + | 8.48093i | 0.252134 | + | 0.477846i | ||||
\(316\) | 1.39926 | − | 6.90561i | 0.0787144 | − | 0.388471i | ||||
\(317\) | 3.35530 | − | 12.7649i | 0.188453 | − | 0.716948i | −0.804033 | − | 0.594585i | \(-0.797316\pi\) |
0.992485 | − | 0.122363i | \(-0.0390473\pi\) | |||||||
\(318\) | 28.1050 | + | 8.25236i | 1.57605 | + | 0.462770i | ||||
\(319\) | −13.7870 | − | 10.4466i | −0.771924 | − | 0.584900i | ||||
\(320\) | −5.03585 | + | 1.47866i | −0.281512 | + | 0.0826595i | ||||
\(321\) | −0.526498 | − | 18.4298i | −0.0293863 | − | 1.02865i | ||||
\(322\) | 1.26237 | − | 0.712894i | 0.0703492 | − | 0.0397280i | ||||
\(323\) | 18.9276 | − | 13.7517i | 1.05316 | − | 0.765165i | ||||
\(324\) | 4.53830 | − | 1.91790i | 0.252128 | − | 0.106550i | ||||
\(325\) | 0.250052 | + | 0.0432732i | 0.0138704 | + | 0.00240037i | ||||
\(326\) | 1.10092 | − | 12.8178i | 0.0609746 | − | 0.709914i | ||||
\(327\) | −3.31569 | − | 38.6039i | −0.183358 | − | 2.13480i | ||||
\(328\) | 1.83106 | − | 0.316877i | 0.101103 | − | 0.0174966i | ||||
\(329\) | 15.3482 | − | 9.86370i | 0.846174 | − | 0.543803i | ||||
\(330\) | 0.597434 | − | 12.2673i | 0.0328877 | − | 0.675292i | ||||
\(331\) | 11.0099 | + | 7.07562i | 0.605158 | + | 0.388911i | 0.807038 | − | 0.590499i | \(-0.201069\pi\) |
−0.201881 | + | 0.979410i | \(0.564705\pi\) | |||||||
\(332\) | −1.29438 | − | 0.547008i | −0.0710382 | − | 0.0300210i | ||||
\(333\) | −15.9375 | + | 3.70611i | −0.873370 | + | 0.203094i | ||||
\(334\) | 6.24232 | − | 16.0333i | 0.341565 | − | 0.877302i | ||||
\(335\) | 6.46165 | + | 10.7154i | 0.353038 | + | 0.585448i | ||||
\(336\) | −13.0624 | + | 40.2019i | −0.712613 | + | 2.19320i | ||||
\(337\) | 18.5071 | − | 24.0005i | 1.00815 | − | 1.30739i | 0.0570933 | − | 0.998369i | \(-0.481817\pi\) |
0.951055 | − | 0.309021i | \(-0.100001\pi\) | |||||||
\(338\) | −7.39503 | − | 18.9940i | −0.402237 | − | 1.03314i | ||||
\(339\) | −9.13765 | − | 13.3634i | −0.496289 | − | 0.725800i | ||||
\(340\) | −0.308624 | + | 2.14653i | −0.0167375 | + | 0.116412i | ||||
\(341\) | 10.0829 | − | 12.5460i | 0.546022 | − | 0.679402i | ||||
\(342\) | −2.94741 | − | 20.4997i | −0.159378 | − | 1.10850i | ||||
\(343\) | 1.24508 | − | 1.14272i | 0.0672281 | − | 0.0617013i | ||||
\(344\) | 5.93150 | + | 0.339175i | 0.319805 | + | 0.0182871i | ||||
\(345\) | 0.112983 | + | 0.557592i | 0.00608279 | + | 0.0300198i | ||||
\(346\) | 13.7788 | − | 11.2668i | 0.740751 | − | 0.605709i | ||||
\(347\) | 1.88348 | + | 0.926045i | 0.101111 | + | 0.0497127i | 0.491076 | − | 0.871117i | \(-0.336604\pi\) |
−0.389965 | + | 0.920830i | \(0.627513\pi\) | |||||||
\(348\) | 5.57435 | − | 1.98892i | 0.298816 | − | 0.106617i | ||||
\(349\) | 14.7653 | + | 19.1479i | 0.790366 | + | 1.02496i | 0.998897 | + | 0.0469491i | \(0.0149499\pi\) |
−0.208531 | + | 0.978016i | \(0.566868\pi\) | |||||||
\(350\) | 3.09254 | − | 5.12840i | 0.165303 | − | 0.274124i | ||||
\(351\) | 0.186275 | + | 0.214972i | 0.00994260 | + | 0.0114744i | ||||
\(352\) | 6.65826 | − | 5.86873i | 0.354887 | − | 0.312805i | ||||
\(353\) | −1.12979 | + | 1.30384i | −0.0601325 | + | 0.0693966i | −0.785019 | − | 0.619472i | \(-0.787347\pi\) |
0.724886 | + | 0.688868i | \(0.241892\pi\) | |||||||
\(354\) | 0.498538 | + | 1.53434i | 0.0264970 | + | 0.0815493i | ||||
\(355\) | 12.8633 | + | 4.58962i | 0.682714 | + | 0.243592i | ||||
\(356\) | 1.09677 | + | 1.12855i | 0.0581289 | + | 0.0598132i | ||||
\(357\) | −29.5534 | − | 27.1238i | −1.56413 | − | 1.43555i | ||||
\(358\) | −20.7502 | + | 30.3462i | −1.09668 | + | 1.60385i | ||||
\(359\) | −19.4561 | − | 4.52431i | −1.02685 | − | 0.238784i | −0.320952 | − | 0.947096i | \(-0.604003\pi\) |
−0.705900 | + | 0.708311i | \(0.749457\pi\) | |||||||
\(360\) | −4.87958 | − | 3.54522i | −0.257176 | − | 0.186850i | ||||
\(361\) | 8.08494 | + | 0.927661i | 0.425523 | + | 0.0488242i | ||||
\(362\) | 27.0799 | 1.42329 | ||||||||
\(363\) | −9.78513 | − | 23.9278i | −0.513586 | − | 1.25588i | ||||
\(364\) | 0.465718 | 0.0244103 | ||||||||
\(365\) | −4.48164 | − | 0.514221i | −0.234580 | − | 0.0269155i | ||||
\(366\) | −22.1647 | − | 16.1036i | −1.15857 | − | 0.841749i | ||||
\(367\) | −15.1749 | − | 3.52877i | −0.792123 | − | 0.184200i | −0.189136 | − | 0.981951i | \(-0.560569\pi\) |
−0.602988 | + | 0.797751i | \(0.706023\pi\) | |||||||
\(368\) | −0.646670 | + | 0.945725i | −0.0337100 | + | 0.0492993i | ||||
\(369\) | 1.44494 | + | 1.32616i | 0.0752207 | + | 0.0690370i | ||||
\(370\) | 7.12200 | + | 7.32837i | 0.370255 | + | 0.380984i | ||||
\(371\) | 28.3144 | + | 10.1026i | 1.47001 | + | 0.524499i | ||||
\(372\) | 1.70182 | + | 5.23765i | 0.0882350 | + | 0.271559i | ||||
\(373\) | 22.7751 | − | 26.2839i | 1.17925 | − | 1.36093i | 0.260799 | − | 0.965393i | \(-0.416014\pi\) |
0.918451 | − | 0.395534i | \(-0.129441\pi\) | |||||||
\(374\) | 6.80261 | + | 22.4631i | 0.351755 | + | 1.16154i | ||||
\(375\) | 1.53900 | + | 1.77610i | 0.0794736 | + | 0.0917174i | ||||
\(376\) | −5.92599 | + | 9.82715i | −0.305610 | + | 0.506797i | ||||
\(377\) | 0.808209 | + | 1.04810i | 0.0416249 | + | 0.0539801i | ||||
\(378\) | 6.32232 | − | 2.25580i | 0.325185 | − | 0.116026i | ||||
\(379\) | 15.7051 | + | 7.72166i | 0.806715 | + | 0.396635i | 0.797498 | − | 0.603322i | \(-0.206157\pi\) |
0.00921793 | + | 0.999958i | \(0.497066\pi\) | |||||||
\(380\) | −1.94733 | + | 1.59233i | −0.0998961 | + | 0.0816846i | ||||
\(381\) | 8.28928 | + | 40.9092i | 0.424673 | + | 2.09584i | ||||
\(382\) | −34.7726 | − | 1.98837i | −1.77912 | − | 0.101734i | ||||
\(383\) | −23.6197 | + | 21.6780i | −1.20691 | + | 1.10769i | −0.215554 | + | 0.976492i | \(0.569156\pi\) |
−0.991356 | + | 0.131200i | \(0.958117\pi\) | |||||||
\(384\) | −4.55602 | − | 31.6878i | −0.232499 | − | 1.61706i | ||||
\(385\) | 1.33093 | − | 12.5347i | 0.0678304 | − | 0.638830i | ||||
\(386\) | −2.84838 | + | 19.8109i | −0.144979 | + | 1.00835i | ||||
\(387\) | 3.53931 | + | 5.17608i | 0.179913 | + | 0.263115i | ||||
\(388\) | 1.50102 | + | 3.85533i | 0.0762027 | + | 0.195725i | ||||
\(389\) | −6.74258 | + | 8.74393i | −0.341862 | + | 0.443335i | −0.931176 | − | 0.364569i | \(-0.881216\pi\) |
0.589314 | + | 0.807904i | \(0.299398\pi\) | |||||||
\(390\) | −0.290394 | + | 0.893740i | −0.0147047 | + | 0.0452563i | ||||
\(391\) | −0.561433 | − | 0.931032i | −0.0283929 | − | 0.0470843i | ||||
\(392\) | −6.45685 | + | 16.5843i | −0.326120 | + | 0.837634i | ||||
\(393\) | −21.4115 | + | 4.97903i | −1.08007 | + | 0.251159i | ||||
\(394\) | 17.1763 | + | 7.25875i | 0.865328 | + | 0.365691i | ||||
\(395\) | 12.2754 | + | 7.88892i | 0.617642 | + | 0.396934i | ||||
\(396\) | 3.96683 | + | 0.768918i | 0.199341 | + | 0.0386396i | ||||
\(397\) | −26.0465 | + | 16.7391i | −1.30724 | + | 0.840110i | −0.993980 | − | 0.109559i | \(-0.965056\pi\) |
−0.313256 | + | 0.949669i | \(0.601420\pi\) | |||||||
\(398\) | −7.38821 | + | 1.27858i | −0.370337 | + | 0.0640894i | ||||
\(399\) | −3.98179 | − | 46.3592i | −0.199339 | − | 2.32086i | ||||
\(400\) | −0.404990 | + | 4.71522i | −0.0202495 | + | 0.235761i | ||||
\(401\) | 5.95065 | + | 1.02980i | 0.297161 | + | 0.0514258i | 0.317153 | − | 0.948374i | \(-0.397273\pi\) |
−0.0199917 | + | 0.999800i | \(0.506364\pi\) | |||||||
\(402\) | −42.6819 | + | 18.0375i | −2.12878 | + | 0.899630i | ||||
\(403\) | −0.996336 | + | 0.723880i | −0.0496310 | + | 0.0360590i | ||||
\(404\) | 5.21607 | − | 2.94565i | 0.259509 | − | 0.146552i | ||||
\(405\) | 0.291368 | + | 10.1992i | 0.0144782 | + | 0.506803i | ||||
\(406\) | 29.9686 | − | 8.79959i | 1.48732 | − | 0.436716i | ||||
\(407\) | 20.1091 | + | 7.63398i | 0.996770 | + | 0.378402i | ||||
\(408\) | 24.2092 | + | 7.10845i | 1.19853 | + | 0.351921i | ||||
\(409\) | −5.94689 | + | 22.6243i | −0.294055 | + | 1.11870i | 0.641959 | + | 0.766739i | \(0.278122\pi\) |
−0.936014 | + | 0.351962i | \(0.885515\pi\) | |||||||
\(410\) | 0.243246 | − | 1.20047i | 0.0120131 | − | 0.0592869i | ||||
\(411\) | −15.1760 | − | 28.7618i | −0.748578 | − | 1.41871i | ||||
\(412\) | −0.170653 | + | 5.97365i | −0.00840749 | + | 0.294301i | ||||
\(413\) | 0.420930 | + | 1.60138i | 0.0207126 | + | 0.0787989i | ||||
\(414\) | −0.960855 | + | 0.0549437i | −0.0472235 | + | 0.00270034i | ||||
\(415\) | 2.02818 | − | 2.08694i | 0.0995593 | − | 0.102444i | ||||
\(416\) | −0.609425 | + | 0.299634i | −0.0298795 | + | 0.0146908i | ||||
\(417\) | −9.52681 | + | 20.8608i | −0.466530 | + | 1.02156i | ||||
\(418\) | −11.8050 | + | 24.5321i | −0.577404 | + | 1.19990i | ||||
\(419\) | 3.54626 | + | 7.76522i | 0.173246 | + | 0.379356i | 0.976259 | − | 0.216605i | \(-0.0694985\pi\) |
−0.803013 | + | 0.595961i | \(0.796771\pi\) | |||||||
\(420\) | 3.33883 | + | 2.73015i | 0.162918 | + | 0.133218i | ||||
\(421\) | −11.7147 | + | 22.2018i | −0.570938 | + | 1.08205i | 0.414184 | + | 0.910193i | \(0.364067\pi\) |
−0.985122 | + | 0.171855i | \(0.945024\pi\) | |||||||
\(422\) | −18.3075 | − | 10.3387i | −0.891195 | − | 0.503281i | ||||
\(423\) | −12.0327 | + | 1.38062i | −0.585049 | + | 0.0671281i | ||||
\(424\) | −18.7860 | + | 2.15549i | −0.912329 | + | 0.104680i | ||||
\(425\) | −3.91057 | − | 2.20840i | −0.189691 | − | 0.107123i | ||||
\(426\) | −23.6019 | + | 44.7306i | −1.14352 | + | 2.16721i | ||||
\(427\) | −21.7677 | − | 17.7993i | −1.05341 | − | 0.861371i | ||||
\(428\) | −1.57370 | − | 3.44593i | −0.0760678 | − | 0.166565i | ||||
\(429\) | 0.242084 | + | 1.96312i | 0.0116879 | + | 0.0947803i | ||||
\(430\) | 1.62680 | − | 3.56219i | 0.0784511 | − | 0.171784i | ||||
\(431\) | 15.7907 | − | 7.76374i | 0.760609 | − | 0.373966i | −0.0193369 | − | 0.999813i | \(-0.506156\pi\) |
0.779946 | + | 0.625847i | \(0.215246\pi\) | |||||||
\(432\) | −3.69707 | + | 3.80420i | −0.177875 | + | 0.183030i | ||||
\(433\) | 19.0301 | − | 1.08818i | 0.914527 | − | 0.0522945i | 0.406515 | − | 0.913644i | \(-0.366744\pi\) |
0.508012 | + | 0.861350i | \(0.330380\pi\) | |||||||
\(434\) | 7.38835 | + | 28.1082i | 0.354652 | + | 1.34924i | ||||
\(435\) | −0.350011 | + | 12.2520i | −0.0167818 | + | 0.587438i | ||||
\(436\) | −3.71515 | − | 7.04100i | −0.177924 | − | 0.337203i | ||||
\(437\) | 0.250445 | − | 1.23599i | 0.0119804 | − | 0.0591256i | ||||
\(438\) | 4.24669 | − | 16.1561i | 0.202915 | − | 0.771968i | ||||
\(439\) | 35.6770 | + | 10.4757i | 1.70277 | + | 0.499978i | 0.981303 | − | 0.192471i | \(-0.0616502\pi\) |
0.721467 | + | 0.692449i | \(0.243468\pi\) | |||||||
\(440\) | 2.72745 | + | 7.44470i | 0.130026 | + | 0.354912i | ||||
\(441\) | −18.0224 | + | 5.29184i | −0.858208 | + | 0.251993i | ||||
\(442\) | −0.0512817 | − | 1.79509i | −0.00243922 | − | 0.0853839i | ||||
\(443\) | 2.61957 | − | 1.47934i | 0.124460 | − | 0.0702855i | −0.428246 | − | 0.903662i | \(-0.640868\pi\) |
0.552705 | + | 0.833377i | \(0.313596\pi\) | |||||||
\(444\) | −5.95401 | + | 4.32584i | −0.282565 | + | 0.205295i | ||||
\(445\) | −3.00200 | + | 1.26865i | −0.142308 | + | 0.0601400i | ||||
\(446\) | 10.1982 | + | 1.76487i | 0.482899 | + | 0.0835690i | ||||
\(447\) | 1.76006 | − | 20.4920i | 0.0832478 | − | 0.969237i | ||||
\(448\) | −1.70699 | − | 19.8741i | −0.0806478 | − | 0.938965i | ||||
\(449\) | −24.2490 | + | 4.19646i | −1.14438 | + | 0.198043i | −0.711016 | − | 0.703176i | \(-0.751765\pi\) |
−0.433365 | + | 0.901218i | \(0.642674\pi\) | |||||||
\(450\) | −3.34448 | + | 2.14937i | −0.157660 | + | 0.101322i | ||||
\(451\) | −0.605157 | − | 2.50611i | −0.0284957 | − | 0.118008i | ||||
\(452\) | −2.79823 | − | 1.79831i | −0.131618 | − | 0.0845855i | ||||
\(453\) | −44.9206 | − | 18.9836i | −2.11056 | − | 0.891928i | ||||
\(454\) | 16.6829 | − | 3.87945i | 0.782969 | − | 0.182072i | ||||
\(455\) | −0.349920 | + | 0.898762i | −0.0164045 | + | 0.0421346i | ||||
\(456\) | 15.1134 | + | 25.0627i | 0.707749 | + | 1.17367i | ||||
\(457\) | 1.23554 | − | 3.80261i | 0.0577963 | − | 0.177879i | −0.917991 | − | 0.396602i | \(-0.870189\pi\) |
0.975787 | + | 0.218724i | \(0.0701893\pi\) | |||||||
\(458\) | 10.8900 | − | 14.1224i | 0.508858 | − | 0.659899i | ||||
\(459\) | −1.82638 | − | 4.69103i | −0.0852482 | − | 0.218958i | ||||
\(460\) | 0.0659806 | + | 0.0964935i | 0.00307636 | + | 0.00449903i | ||||
\(461\) | 3.31456 | − | 23.0533i | 0.154374 | − | 1.07370i | −0.754402 | − | 0.656413i | \(-0.772073\pi\) |
0.908776 | − | 0.417284i | \(-0.137018\pi\) | |||||||
\(462\) | 45.2437 | + | 11.4843i | 2.10493 | + | 0.534299i | ||||
\(463\) | 5.86450 | + | 40.7885i | 0.272546 | + | 1.89560i | 0.421614 | + | 0.906775i | \(0.361464\pi\) |
−0.149067 | + | 0.988827i | \(0.547627\pi\) | |||||||
\(464\) | −18.1847 | + | 16.6898i | −0.844206 | + | 0.774805i | ||||
\(465\) | −11.3865 | − | 0.651103i | −0.528036 | − | 0.0301942i | ||||
\(466\) | −3.05437 | − | 15.0739i | −0.141491 | − | 0.698286i | ||||
\(467\) | 26.4349 | − | 21.6157i | 1.22326 | − | 1.00026i | 0.223589 | − | 0.974683i | \(-0.428223\pi\) |
0.999673 | − | 0.0255730i | \(-0.00814102\pi\) | |||||||
\(468\) | −0.277447 | − | 0.136411i | −0.0128250 | − | 0.00630562i | ||||
\(469\) | −44.7912 | + | 15.9815i | −2.06826 | + | 0.737955i | ||||
\(470\) | 4.61897 | + | 5.98999i | 0.213057 | + | 0.276298i | ||||
\(471\) | −20.8469 | + | 34.5706i | −0.960573 | + | 1.59293i | ||||
\(472\) | −0.682021 | − | 0.787094i | −0.0313926 | − | 0.0362289i | ||||
\(473\) | −0.0697070 | − | 8.24242i | −0.00320513 | − | 0.378987i | ||||
\(474\) | −35.3854 | + | 40.8369i | −1.62530 | + | 1.87570i | ||||
\(475\) | −1.60980 | − | 4.95445i | −0.0738626 | − | 0.227326i | ||||
\(476\) | −7.76270 | − | 2.76973i | −0.355803 | − | 0.126950i | ||||
\(477\) | −13.9089 | − | 14.3120i | −0.636846 | − | 0.655299i | ||||
\(478\) | −12.3215 | − | 11.3086i | −0.563573 | − | 0.517243i | ||||
\(479\) | 19.9432 | − | 29.1660i | 0.911228 | − | 1.33263i | −0.0316529 | − | 0.999499i | \(-0.510077\pi\) |
0.942881 | − | 0.333130i | \(-0.108105\pi\) | |||||||
\(480\) | −6.12562 | − | 1.42445i | −0.279595 | − | 0.0650170i | ||||
\(481\) | −1.33146 | − | 0.967361i | −0.0607092 | − | 0.0441078i | ||||
\(482\) | 17.1288 | + | 1.96534i | 0.780193 | + | 0.0895188i | ||||
\(483\) | −2.16226 | −0.0983862 | ||||||||
\(484\) | −3.76573 | − | 3.74595i | −0.171170 | − | 0.170270i | ||||
\(485\) | −8.56798 | −0.389052 | ||||||||
\(486\) | −32.2738 | − | 3.70308i | −1.46397 | − | 0.167975i | ||||
\(487\) | 15.4367 | + | 11.2154i | 0.699504 | + | 0.508219i | 0.879771 | − | 0.475399i | \(-0.157696\pi\) |
−0.180267 | + | 0.983618i | \(0.557696\pi\) | |||||||
\(488\) | 17.2267 | + | 4.00590i | 0.779816 | + | 0.181338i | ||||
\(489\) | −10.8304 | + | 15.8389i | −0.489766 | + | 0.716260i | ||||
\(490\) | 8.64245 | + | 7.93197i | 0.390426 | + | 0.358330i | ||||
\(491\) | 10.6547 | + | 10.9634i | 0.480840 | + | 0.494773i | 0.913531 | − | 0.406770i | \(-0.133345\pi\) |
−0.432691 | + | 0.901542i | \(0.642436\pi\) | |||||||
\(492\) | 0.830826 | + | 0.296438i | 0.0374565 | + | 0.0133645i | ||||
\(493\) | −7.23812 | − | 22.2766i | −0.325989 | − | 1.00329i | ||||
\(494\) | 1.36412 | − | 1.57428i | 0.0613748 | − | 0.0708303i | ||||
\(495\) | −4.46439 | + | 7.07761i | −0.200659 | + | 0.318115i | ||||
\(496\) | −15.0403 | − | 17.3574i | −0.675329 | − | 0.779371i | ||||
\(497\) | −26.8047 | + | 44.4507i | −1.20236 | + | 1.99388i | ||||
\(498\) | 6.58066 | + | 8.53395i | 0.294886 | + | 0.382415i | ||||
\(499\) | −16.1913 | + | 5.77706i | −0.724824 | + | 0.258617i | −0.672587 | − | 0.740018i | \(-0.734817\pi\) |
−0.0522368 | + | 0.998635i | \(0.516635\pi\) | |||||||
\(500\) | 0.433328 | + | 0.213053i | 0.0193790 | + | 0.00952801i | ||||
\(501\) | −19.8656 | + | 16.2440i | −0.887531 | + | 0.725731i | ||||
\(502\) | −3.56413 | − | 17.5897i | −0.159075 | − | 0.785065i | ||||
\(503\) | 6.46664 | + | 0.369776i | 0.288333 | + | 0.0164875i | 0.200657 | − | 0.979662i | \(-0.435692\pi\) |
0.0876761 | + | 0.996149i | \(0.472056\pi\) | |||||||
\(504\) | 16.8886 | − | 15.5002i | 0.752277 | − | 0.690434i | ||||
\(505\) | 1.76551 | + | 12.2794i | 0.0785643 | + | 0.546427i | ||||
\(506\) | 1.08889 | + | 0.644129i | 0.0484069 | + | 0.0286350i | ||||
\(507\) | −4.32639 | + | 30.0907i | −0.192142 | + | 1.33638i | ||||
\(508\) | 4.84084 | + | 7.07950i | 0.214777 | + | 0.314102i | ||||
\(509\) | 15.1219 | + | 38.8404i | 0.670268 | + | 1.72157i | 0.692093 | + | 0.721808i | \(0.256689\pi\) |
−0.0218248 | + | 0.999762i | \(0.506948\pi\) | |||||||
\(510\) | 10.1556 | − | 13.1700i | 0.449698 | − | 0.583179i | ||||
\(511\) | 5.29802 | − | 16.3056i | 0.234370 | − | 0.721318i | ||||
\(512\) | 5.14453 | + | 8.53124i | 0.227358 | + | 0.377031i | ||||
\(513\) | 2.11852 | − | 5.44136i | 0.0935347 | − | 0.240242i | ||||
\(514\) | −28.8668 | + | 6.71268i | −1.27326 | + | 0.296084i | ||||
\(515\) | −11.4000 | − | 4.81767i | −0.502343 | − | 0.212292i | ||||
\(516\) | 2.37258 | + | 1.52477i | 0.104447 | + | 0.0671241i | ||||
\(517\) | 14.1435 | + | 7.31052i | 0.622030 | + | 0.321516i | ||||
\(518\) | −32.6730 | + | 20.9977i | −1.43557 | + | 0.922584i | ||||
\(519\) | −26.1574 | + | 4.52671i | −1.14818 | + | 0.198701i | ||||
\(520\) | −0.0519141 | − | 0.604424i | −0.00227658 | − | 0.0265058i | ||||
\(521\) | −0.342883 | + | 3.99212i | −0.0150220 | + | 0.174898i | 0.984976 | + | 0.172694i | \(0.0552471\pi\) |
−0.999998 | + | 0.00220413i | \(0.999298\pi\) | |||||||
\(522\) | −20.4310 | − | 3.53572i | −0.894239 | − | 0.154754i | ||||
\(523\) | −18.4463 | + | 7.79548i | −0.806601 | + | 0.340872i | −0.753276 | − | 0.657705i | \(-0.771527\pi\) |
−0.0533252 | + | 0.998577i | \(0.516982\pi\) | |||||||
\(524\) | −3.65411 | + | 2.65487i | −0.159631 | + | 0.115978i | ||||
\(525\) | −7.77740 | + | 4.39210i | −0.339434 | + | 0.191687i | ||||
\(526\) | 0.112097 | + | 3.92389i | 0.00488765 | + | 0.171090i | ||||
\(527\) | 20.9122 | − | 6.14039i | 0.910951 | − | 0.267479i | ||||
\(528\) | −36.0899 | + | 7.63105i | −1.57061 | + | 0.332099i | ||||
\(529\) | 22.0121 | + | 6.46334i | 0.957048 | + | 0.281015i | ||||
\(530\) | −3.16854 | + | 12.0544i | −0.137632 | + | 0.523608i | ||||
\(531\) | 0.218289 | − | 1.07730i | 0.00947295 | − | 0.0467509i | ||||
\(532\) | −4.46150 | − | 8.45548i | −0.193431 | − | 0.366592i | ||||
\(533\) | −0.00563310 | + | 0.197184i | −0.000243997 | + | 0.00854100i | ||||
\(534\) | −3.06807 | − | 11.6721i | −0.132768 | − | 0.505103i | ||||
\(535\) | 7.83250 | − | 0.447879i | 0.338629 | − | 0.0193635i | ||||
\(536\) | 20.8475 | − | 21.4515i | 0.900473 | − | 0.926565i | ||||
\(537\) | 49.2040 | − | 24.1920i | 2.12331 | − | 1.04396i | ||||
\(538\) | 14.1576 | − | 31.0009i | 0.610378 | − | 1.33654i | ||||
\(539\) | 23.5464 | + | 7.43112i | 1.01421 | + | 0.320081i | ||||
\(540\) | 0.224843 | + | 0.492338i | 0.00967571 | + | 0.0211868i | ||||
\(541\) | −25.8582 | − | 21.1441i | −1.11173 | − | 0.909057i | −0.115287 | − | 0.993332i | \(-0.536779\pi\) |
−0.996443 | + | 0.0842754i | \(0.973142\pi\) | |||||||
\(542\) | 12.8119 | − | 24.2813i | 0.550319 | − | 1.04297i | ||||
\(543\) | −35.1683 | − | 19.8605i | −1.50922 | − | 0.852294i | ||||
\(544\) | 11.9400 | − | 1.36999i | 0.511924 | − | 0.0587378i | ||||
\(545\) | 16.3794 | − | 1.87936i | 0.701617 | − | 0.0805030i | ||||
\(546\) | −3.10993 | − | 1.75626i | −0.133093 | − | 0.0751608i | ||||
\(547\) | 9.31668 | − | 17.6571i | 0.398353 | − | 0.754962i | −0.600655 | − | 0.799509i | \(-0.705093\pi\) |
0.999007 | + | 0.0445463i | \(0.0141842\pi\) | |||||||
\(548\) | −5.17265 | − | 4.22965i | −0.220965 | − | 0.180682i | ||||
\(549\) | 7.75435 | + | 16.9797i | 0.330948 | + | 0.724674i | ||||
\(550\) | 5.22499 | + | 0.105052i | 0.222794 | + | 0.00447945i | ||||
\(551\) | 11.2867 | − | 24.7143i | 0.480828 | − | 1.05287i | ||||
\(552\) | 1.22050 | − | 0.600081i | 0.0519481 | − | 0.0255411i | ||||
\(553\) | −38.6506 | + | 39.7705i | −1.64359 | + | 1.69121i | ||||
\(554\) | −3.10976 | + | 0.177823i | −0.132121 | + | 0.00755496i | ||||
\(555\) | −3.87461 | − | 14.7405i | −0.164468 | − | 0.625701i | ||||
\(556\) | −0.134557 | + | 4.71010i | −0.00570648 | + | 0.199753i | ||||
\(557\) | −10.3746 | − | 19.6621i | −0.439588 | − | 0.833112i | −0.999988 | − | 0.00488987i | \(-0.998444\pi\) |
0.560400 | − | 0.828222i | \(-0.310647\pi\) | |||||||
\(558\) | 3.83151 | − | 18.9093i | 0.162201 | − | 0.800493i | ||||
\(559\) | −0.160332 | + | 0.609965i | −0.00678131 | + | 0.0257988i | ||||
\(560\) | −17.2581 | − | 5.06744i | −0.729288 | − | 0.214138i | ||||
\(561\) | 7.63998 | − | 34.1615i | 0.322560 | − | 1.44230i | ||||
\(562\) | −12.0022 | + | 3.52417i | −0.506284 | + | 0.148658i | ||||
\(563\) | −0.709578 | − | 24.8385i | −0.0299051 | − | 1.04682i | −0.866556 | − | 0.499080i | \(-0.833671\pi\) |
0.836651 | − | 0.547737i | \(-0.184510\pi\) | |||||||
\(564\) | −4.74339 | + | 2.67872i | −0.199733 | + | 0.112794i | ||||
\(565\) | 5.57292 | − | 4.04896i | 0.234454 | − | 0.170341i | ||||
\(566\) | 36.3543 | − | 15.3635i | 1.52809 | − | 0.645775i | ||||
\(567\) | −38.2111 | − | 6.61270i | −1.60472 | − | 0.277707i | ||||
\(568\) | 2.79396 | − | 32.5295i | 0.117232 | − | 1.36491i | ||||
\(569\) | 3.69888 | + | 43.0653i | 0.155065 | + | 1.80539i | 0.499216 | + | 0.866478i | \(0.333621\pi\) |
−0.344151 | + | 0.938914i | \(0.611833\pi\) | |||||||
\(570\) | 19.0085 | − | 3.28955i | 0.796178 | − | 0.137784i | ||||
\(571\) | −37.9634 | + | 24.3976i | −1.58872 | + | 1.02101i | −0.616378 | + | 0.787451i | \(0.711401\pi\) |
−0.972343 | + | 0.233558i | \(0.924963\pi\) | |||||||
\(572\) | 0.202831 | + | 0.352178i | 0.00848081 | + | 0.0147253i | ||||
\(573\) | 43.7003 | + | 28.0845i | 1.82561 | + | 1.17325i | ||||
\(574\) | 4.28805 | + | 1.81214i | 0.178980 | + | 0.0756374i | ||||
\(575\) | −0.235792 | + | 0.0548311i | −0.00983321 | + | 0.00228661i | ||||
\(576\) | −4.80433 | + | 12.3398i | −0.200180 | + | 0.514159i | ||||
\(577\) | −8.75442 | − | 14.5176i | −0.364451 | − | 0.604374i | 0.619034 | − | 0.785364i | \(-0.287524\pi\) |
−0.983485 | + | 0.180990i | \(0.942070\pi\) | |||||||
\(578\) | −1.54336 | + | 4.74998i | −0.0641953 | + | 0.197573i | ||||
\(579\) | 18.2285 | − | 23.6391i | 0.757549 | − | 0.982407i | ||||
\(580\) | 0.913697 | + | 2.34681i | 0.0379392 | + | 0.0974460i | ||||
\(581\) | 6.24289 | + | 9.12994i | 0.258999 | + | 0.378774i | ||||
\(582\) | 4.51539 | − | 31.4052i | 0.187169 | − | 1.30179i | ||||
\(583\) | 4.69200 | + | 25.8114i | 0.194323 | + | 1.06900i | ||||
\(584\) | 1.53471 | + | 10.6742i | 0.0635069 | + | 0.441700i | ||||
\(585\) | 0.471714 | − | 0.432935i | 0.0195030 | − | 0.0178997i | ||||
\(586\) | 20.7069 | + | 1.18406i | 0.855392 | + | 0.0489131i | ||||
\(587\) | 8.42718 | + | 41.5897i | 0.347827 | + | 1.71659i | 0.647083 | + | 0.762420i | \(0.275989\pi\) |
−0.299256 | + | 0.954173i | \(0.596738\pi\) | |||||||
\(588\) | −6.54012 | + | 5.34783i | −0.269710 | + | 0.220541i | ||||
\(589\) | 22.6874 | + | 11.1546i | 0.934816 | + | 0.459618i | ||||
\(590\) | −0.646555 | + | 0.230690i | −0.0266182 | + | 0.00949737i | ||||
\(591\) | −16.9830 | − | 22.0239i | −0.698587 | − | 0.905943i | ||||
\(592\) | 15.8494 | − | 26.2833i | 0.651407 | − | 1.08024i | ||||
\(593\) | −12.3044 | − | 14.2000i | −0.505279 | − | 0.583123i | 0.444604 | − | 0.895727i | \(-0.353344\pi\) |
−0.949884 | + | 0.312604i | \(0.898799\pi\) | |||||||
\(594\) | 4.45937 | + | 3.79851i | 0.182970 | + | 0.155855i | ||||
\(595\) | 11.1777 | − | 12.8997i | 0.458240 | − | 0.528837i | ||||
\(596\) | −1.30588 | − | 4.01909i | −0.0534910 | − | 0.164628i | ||||
\(597\) | 10.5327 | + | 3.75805i | 0.431073 | + | 0.153807i | ||||
\(598\) | −0.0674643 | − | 0.0694192i | −0.00275882 | − | 0.00283876i | ||||
\(599\) | −10.8210 | − | 9.93139i | −0.442133 | − | 0.405786i | 0.423951 | − | 0.905685i | \(-0.360643\pi\) |
−0.866083 | + | 0.499900i | \(0.833370\pi\) | |||||||
\(600\) | 3.17109 | − | 4.63758i | 0.129459 | − | 0.189328i | ||||
\(601\) | −37.3239 | − | 8.67930i | −1.52247 | − | 0.354036i | −0.619938 | − | 0.784651i | \(-0.712842\pi\) |
−0.902536 | + | 0.430615i | \(0.858297\pi\) | |||||||
\(602\) | 12.0410 | + | 8.74829i | 0.490754 | + | 0.356554i | ||||
\(603\) | 31.3649 | + | 3.59879i | 1.27728 | + | 0.146554i | ||||
\(604\) | −10.0200 | −0.407710 | ||||||||
\(605\) | 10.0585 | − | 4.45273i | 0.408936 | − | 0.181029i | ||||
\(606\) | −45.9396 | −1.86617 | ||||||||
\(607\) | 43.9495 | + | 5.04273i | 1.78385 | + | 0.204678i | 0.942134 | − | 0.335237i | \(-0.108816\pi\) |
0.841719 | + | 0.539915i | \(0.181544\pi\) | |||||||
\(608\) | 11.2783 | + | 8.19415i | 0.457395 | + | 0.332317i | ||||
\(609\) | −45.3735 | − | 10.5511i | −1.83863 | − | 0.427554i | ||||
\(610\) | 6.58015 | − | 9.62316i | 0.266422 | − | 0.389630i | ||||
\(611\) | −0.897492 | − | 0.823711i | −0.0363086 | − | 0.0333238i | ||||
\(612\) | 3.81328 | + | 3.92377i | 0.154143 | + | 0.158609i | ||||
\(613\) | −22.3482 | − | 7.97382i | −0.902635 | − | 0.322060i | −0.156362 | − | 0.987700i | \(-0.549977\pi\) |
−0.746273 | + | 0.665640i | \(0.768159\pi\) | |||||||
\(614\) | −5.31404 | − | 16.3549i | −0.214457 | − | 0.660031i | ||||
\(615\) | −1.19632 | + | 1.38063i | −0.0482405 | + | 0.0556725i | ||||
\(616\) | −29.7895 | + | 4.54053i | −1.20025 | + | 0.182943i | ||||
\(617\) | −10.5485 | − | 12.1736i | −0.424665 | − | 0.490090i | 0.502587 | − | 0.864526i | \(-0.332382\pi\) |
−0.927252 | + | 0.374437i | \(0.877836\pi\) | |||||||
\(618\) | 23.6666 | − | 39.2467i | 0.952011 | − | 1.57873i | ||||
\(619\) | 27.5149 | + | 35.6820i | 1.10592 | + | 1.43418i | 0.888952 | + | 0.458001i | \(0.151434\pi\) |
0.216967 | + | 0.976179i | \(0.430384\pi\) | |||||||
\(620\) | −2.20709 | + | 0.787488i | −0.0886388 | + | 0.0316263i | ||||
\(621\) | −0.243510 | − | 0.119726i | −0.00977171 | − | 0.00480443i | ||||
\(622\) | −33.7416 | + | 27.5903i | −1.35291 | + | 1.10627i | ||||
\(623\) | −2.45982 | − | 12.1397i | −0.0985508 | − | 0.486367i | ||||
\(624\) | 2.81784 | + | 0.161130i | 0.112804 | + | 0.00645036i | ||||
\(625\) | −0.736741 | + | 0.676175i | −0.0294696 | + | 0.0270470i | ||||
\(626\) | 1.61859 | + | 11.2575i | 0.0646919 | + | 0.449942i | ||||
\(627\) | 33.3229 | − | 23.2016i | 1.33079 | − | 0.926582i | ||||
\(628\) | −1.18045 | + | 8.21023i | −0.0471052 | + | 0.327624i | ||||
\(629\) | 16.4399 | + | 24.0427i | 0.655504 | + | 0.958644i | ||||
\(630\) | −5.48192 | − | 14.0802i | −0.218405 | − | 0.560968i | ||||
\(631\) | 20.5875 | − | 26.6984i | 0.819576 | − | 1.06285i | −0.177323 | − | 0.984153i | \(-0.556744\pi\) |
0.996899 | − | 0.0786926i | \(-0.0250746\pi\) | |||||||
\(632\) | 10.7793 | − | 33.1753i | 0.428777 | − | 1.31964i | ||||
\(633\) | 16.1932 | + | 26.8535i | 0.643624 | + | 1.06733i | ||||
\(634\) | −7.54533 | + | 19.3800i | −0.299664 | + | 0.769680i | ||||
\(635\) | −17.2995 | + | 4.02283i | −0.686510 | + | 0.159641i | ||||
\(636\) | −8.26824 | − | 3.49419i | −0.327857 | − | 0.138554i | ||||
\(637\) | −1.58932 | − | 1.02139i | −0.0629710 | − | 0.0404690i | ||||
\(638\) | 19.7064 | + | 18.8300i | 0.780182 | + | 0.745487i | ||||
\(639\) | 28.9885 | − | 18.6298i | 1.14677 | − | 0.736983i | ||||
\(640\) | 13.4227 | − | 2.32288i | 0.530577 | − | 0.0918200i | ||||
\(641\) | −3.06138 | − | 35.6429i | −0.120917 | − | 1.40781i | −0.765578 | − | 0.643343i | \(-0.777547\pi\) |
0.644661 | − | 0.764469i | \(-0.276999\pi\) | |||||||
\(642\) | −2.48612 | + | 28.9454i | −0.0981195 | + | 1.14238i | ||||
\(643\) | 33.1349 | + | 5.73422i | 1.30671 | + | 0.226136i | 0.781003 | − | 0.624528i | \(-0.214708\pi\) |
0.525711 | + | 0.850663i | \(0.323799\pi\) | |||||||
\(644\) | −0.409230 | + | 0.172942i | −0.0161259 | + | 0.00681487i | ||||
\(645\) | −4.72521 | + | 3.43306i | −0.186055 | + | 0.135177i | ||||
\(646\) | −32.1001 | + | 18.1278i | −1.26296 | + | 0.713227i | ||||
\(647\) | −0.129033 | − | 4.51676i | −0.00507282 | − | 0.177572i | −0.998178 | − | 0.0603428i | \(-0.980781\pi\) |
0.993105 | − | 0.117229i | \(-0.0374012\pi\) | |||||||
\(648\) | 23.4037 | − | 6.87196i | 0.919386 | − | 0.269956i | ||||
\(649\) | −1.02765 | + | 1.01575i | −0.0403387 | + | 0.0398717i | ||||
\(650\) | −0.383670 | − | 0.112656i | −0.0150488 | − | 0.00441871i | ||||
\(651\) | 11.0194 | − | 41.9223i | 0.431886 | − | 1.64306i | ||||
\(652\) | −0.782930 | + | 3.86391i | −0.0306619 | + | 0.151322i | ||||
\(653\) | −4.75895 | − | 9.01921i | −0.186232 | − | 0.352949i | 0.773532 | − | 0.633757i | \(-0.218488\pi\) |
−0.959764 | + | 0.280809i | \(0.909397\pi\) | |||||||
\(654\) | −1.74342 | + | 61.0278i | −0.0681732 | + | 2.38637i | ||||
\(655\) | −2.37793 | − | 9.04660i | −0.0929136 | − | 0.353480i | ||||
\(656\) | −3.67282 | + | 0.210019i | −0.143400 | + | 0.00819988i | ||||
\(657\) | −7.93225 | + | 8.16209i | −0.309466 | + | 0.318433i | ||||
\(658\) | −25.7984 | + | 12.6842i | −1.00573 | + | 0.494483i | ||||
\(659\) | −19.1603 | + | 41.9552i | −0.746379 | + | 1.63434i | 0.0263885 | + | 0.999652i | \(0.491599\pi\) |
−0.772767 | + | 0.634690i | \(0.781128\pi\) | |||||||
\(660\) | −0.610411 | + | 3.71389i | −0.0237602 | + | 0.144563i | ||||
\(661\) | −9.16966 | − | 20.0788i | −0.356658 | − | 0.780973i | −0.999883 | − | 0.0152954i | \(-0.995131\pi\) |
0.643225 | − | 0.765678i | \(-0.277596\pi\) | |||||||
\(662\) | −15.9644 | − | 13.0540i | −0.620475 | − | 0.507360i | ||||
\(663\) | −1.24993 | + | 2.36887i | −0.0485431 | + | 0.0919994i | ||||
\(664\) | −6.05763 | − | 3.42090i | −0.235082 | − | 0.132757i | ||||
\(665\) | 19.6699 | − | 2.25691i | 0.762766 | − | 0.0875193i | ||||
\(666\) | 25.6149 | − | 2.93904i | 0.992559 | − | 0.113885i | ||||
\(667\) | −1.09939 | − | 0.620853i | −0.0425685 | − | 0.0240395i | ||||
\(668\) | −2.46054 | + | 4.66325i | −0.0952013 | + | 0.180427i | ||||
\(669\) | −11.9499 | − | 9.77138i | −0.462010 | − | 0.377783i | ||||
\(670\) | −8.19066 | − | 17.9350i | −0.316433 | − | 0.692891i | ||||
\(671\) | 3.97961 | − | 24.2129i | 0.153631 | − | 0.934728i | ||||
\(672\) | 9.92937 | − | 21.7423i | 0.383034 | − | 0.838727i | ||||
\(673\) | 14.1660 | − | 6.96494i | 0.546059 | − | 0.268479i | −0.147275 | − | 0.989096i | \(-0.547050\pi\) |
0.693334 | + | 0.720617i | \(0.256141\pi\) | |||||||
\(674\) | −33.2828 | + | 34.2472i | −1.28200 | + | 1.31915i | ||||
\(675\) | −1.11907 | + | 0.0639908i | −0.0430730 | + | 0.00246301i | ||||
\(676\) | 1.58791 | + | 6.04102i | 0.0610733 | + | 0.232347i | ||||
\(677\) | −1.30213 | + | 45.5804i | −0.0500448 | + | 1.75180i | 0.456626 | + | 0.889659i | \(0.349058\pi\) |
−0.506671 | + | 0.862139i | \(0.669124\pi\) | |||||||
\(678\) | 11.9042 | + | 22.5609i | 0.457177 | + | 0.866446i | ||||
\(679\) | 6.46682 | − | 31.9150i | 0.248174 | − | 1.22479i | ||||
\(680\) | −2.72933 | + | 10.3834i | −0.104665 | + | 0.398186i | ||||
\(681\) | −24.5111 | − | 7.19710i | −0.939267 | − | 0.275794i | ||||
\(682\) | −18.0377 | + | 17.8289i | −0.690701 | + | 0.682704i | ||||
\(683\) | 0.273762 | − | 0.0803838i | 0.0104752 | − | 0.00307580i | −0.276491 | − | 0.961017i | \(-0.589172\pi\) |
0.286966 | + | 0.957941i | \(0.407353\pi\) | |||||||
\(684\) | 0.181235 | + | 6.34407i | 0.00692971 | + | 0.242571i | ||||
\(685\) | 12.0491 | − | 6.80441i | 0.460371 | − | 0.259983i | ||||
\(686\) | −2.15436 | + | 1.56523i | −0.0822537 | + | 0.0597608i | ||||
\(687\) | −24.5001 | + | 10.3538i | −0.934739 | + | 0.395024i | ||||
\(688\) | −11.5895 | − | 2.00564i | −0.441845 | − | 0.0764642i | ||||
\(689\) | 0.171775 | − | 1.99994i | 0.00654411 | − | 0.0761917i | ||||
\(690\) | −0.0767146 | − | 0.893172i | −0.00292048 | − | 0.0340025i | ||||
\(691\) | 39.8444 | − | 6.89534i | 1.51575 | − | 0.262311i | 0.648899 | − | 0.760875i | \(-0.275230\pi\) |
0.866853 | + | 0.498563i | \(0.166139\pi\) | |||||||
\(692\) | −4.58850 | + | 2.94885i | −0.174429 | + | 0.112098i | ||||
\(693\) | −22.9939 | − | 21.9714i | −0.873468 | − | 0.834624i | ||||
\(694\) | −2.78215 | − | 1.78798i | −0.105609 | − | 0.0678706i | ||||
\(695\) | −8.98864 | − | 3.79863i | −0.340959 | − | 0.144090i | ||||
\(696\) | 28.5396 | − | 6.63660i | 1.08179 | − | 0.251560i | ||||
\(697\) | 1.26659 | − | 3.25321i | 0.0479755 | − | 0.123224i | ||||
\(698\) | −19.6748 | − | 32.6271i | −0.744704 | − | 1.23495i | ||||
\(699\) | −7.08856 | + | 21.8163i | −0.268114 | + | 0.825170i | ||||
\(700\) | −1.12066 | + | 1.45330i | −0.0423571 | + | 0.0549297i | ||||
\(701\) | 8.75690 | + | 22.4919i | 0.330744 | + | 0.849508i | 0.994802 | + | 0.101828i | \(0.0324690\pi\) |
−0.664058 | + | 0.747681i | \(0.731167\pi\) | |||||||
\(702\) | −0.252989 | − | 0.369985i | −0.00954846 | − | 0.0139642i | ||||
\(703\) | −4.80806 | + | 33.4408i | −0.181340 | + | 1.26124i | ||||
\(704\) | 14.2855 | − | 9.94650i | 0.538405 | − | 0.374873i | ||||
\(705\) | −1.60552 | − | 11.1667i | −0.0604675 | − | 0.420561i | ||||
\(706\) | 2.00281 | − | 1.83816i | 0.0753767 | − | 0.0691801i | ||||
\(707\) | −47.0723 | − | 2.69169i | −1.77034 | − | 0.101232i | ||||
\(708\) | −0.0981811 | − | 0.484543i | −0.00368987 | − | 0.0182102i | ||||
\(709\) | 14.5487 | − | 11.8964i | 0.546387 | − | 0.446778i | −0.319092 | − | 0.947724i | \(-0.603378\pi\) |
0.865479 | + | 0.500945i | \(0.167014\pi\) | |||||||
\(710\) | −19.3124 | − | 9.49526i | −0.724781 | − | 0.356351i | ||||
\(711\) | 34.6747 | − | 12.3719i | 1.30040 | − | 0.463983i | ||||
\(712\) | 4.75754 | + | 6.16969i | 0.178296 | + | 0.231219i | ||||
\(713\) | 0.606678 | − | 1.00606i | 0.0227203 | − | 0.0376774i | ||||
\(714\) | 41.3921 | + | 47.7691i | 1.54906 | + | 1.78771i | ||||
\(715\) | −0.832047 | + | 0.126821i | −0.0311168 | + | 0.00474284i | ||||
\(716\) | 7.37744 | − | 8.51402i | 0.275708 | − | 0.318184i | ||||
\(717\) | 7.70804 | + | 23.7229i | 0.287862 | + | 0.885948i | ||||
\(718\) | 29.6447 | + | 10.5772i | 1.10633 | + | 0.394738i | ||||
\(719\) | −24.6261 | − | 25.3396i | −0.918398 | − | 0.945009i | 0.0802614 | − | 0.996774i | \(-0.474424\pi\) |
−0.998659 | + | 0.0517647i | \(0.983515\pi\) | |||||||
\(720\) | 8.79706 | + | 8.07387i | 0.327847 | + | 0.300895i | ||||
\(721\) | 26.5497 | − | 38.8277i | 0.988763 | − | 1.44602i | ||||
\(722\) | −12.4899 | − | 2.90440i | −0.464825 | − | 0.108090i | ||||
\(723\) | −20.8035 | − | 15.1146i | −0.773689 | − | 0.562118i | ||||
\(724\) | −8.24445 | − | 0.945962i | −0.306403 | − | 0.0351564i | ||||
\(725\) | −5.21548 | −0.193698 | ||||||||
\(726\) | 11.0202 | + | 39.2152i | 0.408998 | + | 1.45541i | ||||
\(727\) | 13.1904 | 0.489206 | 0.244603 | − | 0.969623i | \(-0.421342\pi\) | ||||
0.244603 | + | 0.969623i | \(0.421342\pi\) | |||||||
\(728\) | 2.29061 | + | 0.262823i | 0.0848957 | + | 0.00974088i | ||||
\(729\) | 14.4336 | + | 10.4866i | 0.534576 | + | 0.388392i | ||||
\(730\) | 6.92339 | + | 1.60996i | 0.256246 | + | 0.0595875i | ||||
\(731\) | 6.30004 | − | 9.21351i | 0.233015 | − | 0.340774i | ||||
\(732\) | 6.18548 | + | 5.67698i | 0.228622 | + | 0.209827i | ||||
\(733\) | −31.1187 | − | 32.0204i | −1.14940 | − | 1.18270i | −0.980386 | − | 0.197086i | \(-0.936852\pi\) |
−0.169010 | − | 0.985614i | \(-0.554057\pi\) | |||||||
\(734\) | 23.1216 | + | 8.24977i | 0.853434 | + | 0.304505i | ||||
\(735\) | −5.40650 | − | 16.6395i | −0.199422 | − | 0.613758i | ||||
\(736\) | 0.424239 | − | 0.489597i | 0.0156376 | − | 0.0180468i | ||||
\(737\) | −31.5929 | − | 26.9110i | −1.16374 | − | 0.991279i | ||||
\(738\) | −2.02377 | − | 2.33556i | −0.0744961 | − | 0.0859731i | ||||
\(739\) | 14.4552 | − | 23.9713i | 0.531744 | − | 0.881798i | −0.468254 | − | 0.883594i | \(-0.655117\pi\) |
0.999998 | + | 0.00179535i | \(0.000571477\pi\) | |||||||
\(740\) | −1.91229 | − | 2.47990i | −0.0702971 | − | 0.0911629i | ||||
\(741\) | −2.92614 | + | 1.04405i | −0.107495 | + | 0.0383540i | ||||
\(742\) | −42.5100 | − | 20.9008i | −1.56059 | − | 0.767291i | ||||
\(743\) | 17.2827 | − | 14.1320i | 0.634039 | − | 0.518451i | −0.260481 | − | 0.965479i | \(-0.583881\pi\) |
0.894520 | + | 0.447028i | \(0.147518\pi\) | |||||||
\(744\) | 5.41448 | + | 26.7215i | 0.198505 | + | 0.979659i | ||||
\(745\) | 8.73739 | + | 0.499622i | 0.320113 | + | 0.0183047i | ||||
\(746\) | −40.3742 | + | 37.0551i | −1.47820 | + | 1.35668i | ||||
\(747\) | −1.04493 | − | 7.26765i | −0.0382320 | − | 0.265909i | ||||
\(748\) | −1.28636 | − | 7.07647i | −0.0470340 | − | 0.258742i | ||||
\(749\) | −4.24339 | + | 29.5134i | −0.155050 | + | 1.07840i | ||||
\(750\) | −2.09019 | − | 3.05681i | −0.0763231 | − | 0.111619i | ||||
\(751\) | 11.0107 | + | 28.2807i | 0.401785 | + | 1.03198i | 0.976861 | + | 0.213877i | \(0.0686091\pi\) |
−0.575075 | + | 0.818100i | \(0.695027\pi\) | |||||||
\(752\) | 13.8729 | − | 17.9906i | 0.505891 | − | 0.656051i | ||||
\(753\) | −8.27160 | + | 25.4574i | −0.301434 | + | 0.927718i | ||||
\(754\) | −1.07695 | − | 1.78592i | −0.0392201 | − | 0.0650392i | ||||
\(755\) | 7.52862 | − | 19.3371i | 0.273994 | − | 0.703749i | ||||
\(756\) | −2.00362 | + | 0.465922i | −0.0728709 | + | 0.0169454i | ||||
\(757\) | 11.7413 | + | 4.96192i | 0.426746 | + | 0.180344i | 0.592055 | − | 0.805898i | \(-0.298317\pi\) |
−0.165309 | + | 0.986242i | \(0.552862\pi\) | |||||||
\(758\) | −23.1984 | − | 14.9087i | −0.842605 | − | 0.541509i | ||||
\(759\) | −0.941716 | − | 1.63511i | −0.0341821 | − | 0.0593508i | ||||
\(760\) | −10.4765 | + | 6.73282i | −0.380022 | + | 0.244225i | ||||
\(761\) | −6.43960 | + | 1.11442i | −0.233435 | + | 0.0403975i | −0.286039 | − | 0.958218i | \(-0.592339\pi\) |
0.0526041 | + | 0.998615i | \(0.483248\pi\) | |||||||
\(762\) | −5.62837 | − | 65.5299i | −0.203894 | − | 2.37390i | ||||
\(763\) | −5.36215 | + | 62.4304i | −0.194123 | + | 2.26013i | ||||
\(764\) | 10.5170 | + | 1.82004i | 0.380491 | + | 0.0658466i | ||||
\(765\) | −10.4374 | + | 4.41088i | −0.377365 | + | 0.159476i | ||||
\(766\) | 40.8690 | − | 29.6931i | 1.47666 | − | 1.07285i | ||||
\(767\) | 0.0962674 | − | 0.0543647i | 0.00347601 | − | 0.00196299i | ||||
\(768\) | 0.736045 | + | 25.7649i | 0.0265597 | + | 0.929712i | ||||
\(769\) | 6.59971 | − | 1.93785i | 0.237992 | − | 0.0698807i | −0.160562 | − | 0.987026i | \(-0.551331\pi\) |
0.398553 | + | 0.917145i | \(0.369512\pi\) | |||||||
\(770\) | −4.33496 | + | 19.3834i | −0.156221 | + | 0.698528i | ||||
\(771\) | 42.4119 | + | 12.4533i | 1.52743 | + | 0.448494i | ||||
\(772\) | 1.55922 | − | 5.93190i | 0.0561176 | − | 0.213494i | ||||
\(773\) | −10.7084 | + | 52.8479i | −0.385154 | + | 1.90081i | 0.0467839 | + | 0.998905i | \(0.485103\pi\) |
−0.431938 | + | 0.901904i | \(0.642170\pi\) | |||||||
\(774\) | −4.61088 | − | 8.73858i | −0.165735 | − | 0.314102i | ||||
\(775\) | 0.138582 | − | 4.85101i | 0.00497802 | − | 0.174254i | ||||
\(776\) | 5.20697 | + | 19.8094i | 0.186919 | + | 0.711115i | ||||
\(777\) | 57.8316 | − | 3.30693i | 2.07470 | − | 0.118636i | ||||
\(778\) | 12.1257 | − | 12.4770i | 0.434727 | − | 0.447323i | ||||
\(779\) | 3.63400 | − | 1.78672i | 0.130202 | − | 0.0640158i | ||||
\(780\) | 0.119630 | − | 0.261954i | 0.00428345 | − | 0.00937945i | ||||
\(781\) | −45.2879 | − | 0.910547i | −1.62053 | − | 0.0325819i | ||||
\(782\) | 0.711661 | + | 1.55832i | 0.0254489 | + | 0.0557254i | ||||
\(783\) | −4.52565 | − | 3.70061i | −0.161734 | − | 0.132249i | ||||
\(784\) | 16.4418 | − | 31.1607i | 0.587208 | − | 1.11288i | ||||
\(785\) | −14.9575 | − | 8.44688i | −0.533856 | − | 0.301482i | ||||
\(786\) | 34.4127 | − | 3.94849i | 1.22746 | − | 0.140838i | ||||
\(787\) | 16.5099 | − | 1.89434i | 0.588515 | − | 0.0675258i | 0.185381 | − | 0.982667i | \(-0.440648\pi\) |
0.403134 | + | 0.915141i | \(0.367921\pi\) | |||||||
\(788\) | −4.97572 | − | 2.80992i | −0.177253 | − | 0.100099i | ||||
\(789\) | 2.73221 | − | 5.17811i | 0.0972692 | − | 0.184346i | ||||
\(790\) | −17.7994 | − | 14.5545i | −0.633275 | − | 0.517826i | ||||
\(791\) | 10.8758 | + | 23.8147i | 0.386699 | + | 0.846752i | ||||
\(792\) | 19.0767 | + | 6.02052i | 0.677862 | + | 0.213930i | ||||
\(793\) | −0.779936 | + | 1.70782i | −0.0276963 | + | 0.0606465i | ||||
\(794\) | 43.7809 | − | 21.5256i | 1.55373 | − | 0.763916i | ||||
\(795\) | 12.9556 | − | 13.3310i | 0.459488 | − | 0.472802i | ||||
\(796\) | 2.29399 | − | 0.131175i | 0.0813084 | − | 0.00464938i | ||||
\(797\) | 9.25461 | + | 35.2082i | 0.327815 | + | 1.24714i | 0.903188 | + | 0.429246i | \(0.141221\pi\) |
−0.575373 | + | 0.817891i | \(0.695143\pi\) | |||||||
\(798\) | −2.09366 | + | 73.2878i | −0.0741149 | + | 2.59436i | ||||
\(799\) | 10.0608 | + | 19.0674i | 0.355926 | + | 0.674556i | ||||
\(800\) | 0.531441 | − | 2.62276i | 0.0187893 | − | 0.0927287i | ||||
\(801\) | −2.09037 | + | 7.95261i | −0.0738597 | + | 0.280992i | ||||
\(802\) | −9.13043 | − | 2.68094i | −0.322407 | − | 0.0946672i | ||||
\(803\) | 14.6378 | − | 3.09510i | 0.516557 | − | 0.109224i | ||||
\(804\) | 13.6245 | − | 4.00052i | 0.480500 | − | 0.141088i | ||||
\(805\) | −0.0262734 | − | 0.919690i | −0.000926016 | − | 0.0324148i | ||||
\(806\) | 1.68973 | − | 0.954233i | 0.0595181 | − | 0.0336114i | ||||
\(807\) | −41.1223 | + | 29.8771i | −1.44757 | + | 1.05172i | ||||
\(808\) | 27.3173 | − | 11.5444i | 0.961021 | − | 0.406131i | ||||
\(809\) | −35.0410 | − | 6.06409i | −1.23198 | − | 0.213202i | −0.482894 | − | 0.875679i | \(-0.660414\pi\) |
−0.749082 | + | 0.662477i | \(0.769505\pi\) | |||||||
\(810\) | 1.37584 | − | 16.0186i | 0.0483421 | − | 0.562837i | ||||
\(811\) | 1.86803 | + | 21.7491i | 0.0655954 | + | 0.763713i | 0.953049 | + | 0.302816i | \(0.0979268\pi\) |
−0.887454 | + | 0.460897i | \(0.847528\pi\) | |||||||
\(812\) | −9.43130 | + | 1.63215i | −0.330974 | + | 0.0572773i | ||||
\(813\) | −34.4466 | + | 22.1375i | −1.20809 | + | 0.776395i | ||||
\(814\) | −30.1084 | − | 15.5625i | −1.05530 | − | 0.545465i | ||||
\(815\) | −6.86848 | − | 4.41410i | −0.240592 | − | 0.154619i | ||||
\(816\) | −46.0102 | − | 19.4441i | −1.61068 | − | 0.680678i | ||||
\(817\) | 12.6103 | − | 2.93241i | 0.441180 | − | 0.102592i | ||||
\(818\) | 13.3732 | − | 34.3489i | 0.467585 | − | 1.20098i | ||||
\(819\) | 1.25661 | + | 2.08386i | 0.0439096 | + | 0.0728159i | ||||
\(820\) | −0.115991 | + | 0.356984i | −0.00405058 | + | 0.0124664i | ||||
\(821\) | −7.96671 | + | 10.3314i | −0.278040 | + | 0.360569i | −0.910127 | − | 0.414328i | \(-0.864017\pi\) |
0.632087 | + | 0.774897i | \(0.282198\pi\) | |||||||
\(822\) | 18.5911 | + | 47.7508i | 0.648438 | + | 1.66550i | ||||
\(823\) | 20.2072 | + | 29.5521i | 0.704380 | + | 1.03012i | 0.997260 | + | 0.0739734i | \(0.0235680\pi\) |
−0.292881 | + | 0.956149i | \(0.594614\pi\) | |||||||
\(824\) | −4.21052 | + | 29.2848i | −0.146680 | + | 1.02018i | ||||
\(825\) | −6.70857 | − | 3.96844i | −0.233563 | − | 0.138164i | ||||
\(826\) | −0.371304 | − | 2.58248i | −0.0129193 | − | 0.0898559i | ||||
\(827\) | −14.9552 | + | 13.7257i | −0.520042 | + | 0.477290i | −0.892683 | − | 0.450686i | \(-0.851180\pi\) |
0.372641 | + | 0.927976i | \(0.378452\pi\) | |||||||
\(828\) | 0.294450 | + | 0.0168373i | 0.0102329 | + | 0.000585136i | ||||
\(829\) | −0.711292 | − | 3.51037i | −0.0247042 | − | 0.121920i | 0.965833 | − | 0.259166i | \(-0.0834477\pi\) |
−0.990537 | + | 0.137246i | \(0.956175\pi\) | |||||||
\(830\) | −3.54985 | + | 2.90269i | −0.123217 | + | 0.100754i | ||||
\(831\) | 4.16902 | + | 2.04977i | 0.144622 | + | 0.0711056i | ||||
\(832\) | −1.25444 | + | 0.447582i | −0.0434897 | + | 0.0155171i | ||||
\(833\) | 20.4167 | + | 26.4768i | 0.707395 | + | 0.917367i | ||||
\(834\) | 18.6606 | − | 30.9452i | 0.646165 | − | 1.07154i | ||||
\(835\) | −7.15059 | − | 8.25222i | −0.247456 | − | 0.285580i | ||||
\(836\) | 4.45099 | − | 7.05637i | 0.153941 | − | 0.244050i | ||||
\(837\) | 3.56225 | − | 4.11106i | 0.123130 | − | 0.142099i | ||||
\(838\) | −4.15669 | − | 12.7930i | −0.143590 | − | 0.441926i | ||||
\(839\) | −29.8609 | − | 10.6544i | −1.03091 | − | 0.367829i | −0.234202 | − | 0.972188i | \(-0.575248\pi\) |
−0.796712 | + | 0.604359i | \(0.793429\pi\) | |||||||
\(840\) | 14.8811 | + | 15.3123i | 0.513448 | + | 0.528326i | ||||
\(841\) | 1.32520 | + | 1.21625i | 0.0456964 | + | 0.0419398i | ||||
\(842\) | 22.3265 | − | 32.6514i | 0.769421 | − | 1.12524i | ||||
\(843\) | 18.1717 | + | 4.22566i | 0.625868 | + | 0.145539i | ||||
\(844\) | 5.21254 | + | 3.78713i | 0.179423 | + | 0.130358i | ||||
\(845\) | −12.8513 | − | 1.47455i | −0.442098 | − | 0.0507260i | ||||
\(846\) | 19.0844 | 0.656137 | ||||||||
\(847\) | 8.99423 | + | 40.8278i | 0.309045 | + | 1.40286i | ||||
\(848\) | 37.4345 | 1.28551 | ||||||||
\(849\) | −58.4804 | − | 6.71000i | −2.00704 | − | 0.230287i | ||||
\(850\) | 5.72511 | + | 4.15953i | 0.196370 | + | 0.142671i | ||||
\(851\) | 1.52919 | + | 0.355597i | 0.0524198 | + | 0.0121897i | ||||
\(852\) | 8.74811 | − | 12.7937i | 0.299705 | − | 0.438305i | ||||
\(853\) | −17.9605 | − | 16.4840i | −0.614954 | − | 0.564400i | 0.306995 | − | 0.951711i | \(-0.400677\pi\) |
−0.921949 | + | 0.387311i | \(0.873404\pi\) | |||||||
\(854\) | 30.8790 | + | 31.7737i | 1.05666 | + | 1.08727i | ||||
\(855\) | −12.3792 | − | 4.41689i | −0.423360 | − | 0.151055i | ||||
\(856\) | −5.79551 | − | 17.8367i | −0.198086 | − | 0.609647i | ||||
\(857\) | 2.42686 | − | 2.80075i | 0.0829000 | − | 0.0956717i | −0.712784 | − | 0.701383i | \(-0.752566\pi\) |
0.795684 | + | 0.605712i | \(0.207112\pi\) | |||||||
\(858\) | −0.0263577 | − | 3.11663i | −0.000899837 | − | 0.106400i | ||||
\(859\) | −21.2801 | − | 24.5585i | −0.726067 | − | 0.837926i | 0.265955 | − | 0.963985i | \(-0.414313\pi\) |
−0.992023 | + | 0.126059i | \(0.959767\pi\) | |||||||
\(860\) | −0.619711 | + | 1.02767i | −0.0211320 | + | 0.0350434i | ||||
\(861\) | −4.23979 | − | 5.49826i | −0.144492 | − | 0.187380i | ||||
\(862\) | −26.1139 | + | 9.31741i | −0.889442 | + | 0.317352i | ||||
\(863\) | 19.2549 | + | 9.46698i | 0.655443 | + | 0.322260i | 0.738469 | − | 0.674288i | \(-0.235549\pi\) |
−0.0830255 | + | 0.996547i | \(0.526458\pi\) | |||||||
\(864\) | 2.32211 | − | 1.89878i | 0.0789998 | − | 0.0645979i | ||||
\(865\) | −2.24322 | − | 11.0707i | −0.0762717 | − | 0.376415i | ||||
\(866\) | −29.9859 | − | 1.71466i | −1.01896 | − | 0.0582664i | ||||
\(867\) | 5.48798 | − | 5.03682i | 0.186381 | − | 0.171059i | ||||
\(868\) | −1.26749 | − | 8.81559i | −0.0430214 | − | 0.299221i | ||||
\(869\) | −46.9079 | − | 11.9068i | −1.59124 | − | 0.403909i | ||||
\(870\) | 2.74860 | − | 19.1169i | 0.0931862 | − | 0.648124i | ||||
\(871\) | 1.79233 | + | 2.62120i | 0.0607308 | + | 0.0888160i | ||||
\(872\) | −14.2993 | − | 36.7274i | −0.484235 | − | 1.24375i | ||||
\(873\) | −13.2006 | + | 17.1189i | −0.446773 | + | 0.579386i | ||||
\(874\) | −0.614063 | + | 1.88989i | −0.0207710 | + | 0.0639266i | ||||
\(875\) | −1.96263 | − | 3.25465i | −0.0663489 | − | 0.110027i | ||||
\(876\) | −1.85727 | + | 4.77035i | −0.0627512 | + | 0.161175i | ||||
\(877\) | −5.22407 | + | 1.21481i | −0.176404 | + | 0.0410211i | −0.313768 | − | 0.949500i | \(-0.601592\pi\) |
0.137364 | + | 0.990521i | \(0.456137\pi\) | |||||||
\(878\) | −53.9686 | − | 22.8073i | −1.82135 | − | 0.769710i | ||||
\(879\) | −26.0233 | − | 16.7241i | −0.877744 | − | 0.564092i | ||||
\(880\) | −3.68430 | − | 15.2577i | −0.124198 | − | 0.514336i | ||||
\(881\) | 6.34726 | − | 4.07914i | 0.213845 | − | 0.137430i | −0.429334 | − | 0.903146i | \(-0.641252\pi\) |
0.643179 | + | 0.765716i | \(0.277615\pi\) | |||||||
\(882\) | 29.1635 | − | 5.04694i | 0.981985 | − | 0.169939i | ||||
\(883\) | 0.114296 | + | 1.33072i | 0.00384636 | + | 0.0447823i | 0.998003 | − | 0.0631622i | \(-0.0201186\pi\) |
−0.994157 | + | 0.107945i | \(0.965573\pi\) | |||||||
\(884\) | −0.0470940 | + | 0.548305i | −0.00158394 | + | 0.0184415i | ||||
\(885\) | 1.00886 | + | 0.174590i | 0.0339124 | + | 0.00586878i | ||||
\(886\) | −4.36650 | + | 1.84530i | −0.146695 | + | 0.0619940i | ||||
\(887\) | 15.5690 | − | 11.3115i | 0.522756 | − | 0.379804i | −0.294885 | − | 0.955533i | \(-0.595281\pi\) |
0.817641 | + | 0.575728i | \(0.195281\pi\) | |||||||
\(888\) | −31.7257 | + | 17.9163i | −1.06465 | + | 0.601233i | ||||
\(889\) | −1.92762 | − | 67.4754i | −0.0646502 | − | 2.26305i | ||||
\(890\) | 4.92732 | − | 1.44679i | 0.165164 | − | 0.0484966i | ||||
\(891\) | −11.6413 | − | 31.7754i | −0.389998 | − | 1.06452i | ||||
\(892\) | −3.04318 | − | 0.893558i | −0.101893 | − | 0.0299185i | ||||
\(893\) | −6.35730 | + | 24.1857i | −0.212739 | + | 0.809343i | ||||
\(894\) | −6.43599 | + | 31.7629i | −0.215252 | + | 1.06231i | ||||
\(895\) | 10.8876 | + | 20.6343i | 0.363933 | + | 0.689730i | ||||
\(896\) | −1.47842 | + | 51.7515i | −0.0493906 | + | 1.72890i | ||||
\(897\) | 0.0367028 | + | 0.139632i | 0.00122547 | + | 0.00466218i | ||||
\(898\) | 38.7142 | − | 2.21376i | 1.29191 | − | 0.0738740i | ||||
\(899\) | 17.6400 | − | 18.1511i | 0.588326 | − | 0.605373i | ||||
\(900\) | 1.09331 | − | 0.537542i | 0.0364435 | − | 0.0179181i | ||||
\(901\) | −14.7573 | + | 32.3139i | −0.491636 | + | 1.07653i | ||||
\(902\) | 0.497195 | + | 4.03187i | 0.0165548 | + | 0.134247i | ||||
\(903\) | −9.22145 | − | 20.1922i | −0.306871 | − | 0.671953i | ||||
\(904\) | −12.7481 | − | 10.4241i | −0.423995 | − | 0.346699i | ||||
\(905\) | 8.02007 | − | 15.1997i | 0.266596 | − | 0.505256i | ||||
\(906\) | 66.9109 | + | 37.7863i | 2.22296 | + | 1.25537i | ||||
\(907\) | 6.65855 | − | 0.763997i | 0.221093 | − | 0.0253681i | −0.00273682 | − | 0.999996i | \(-0.500871\pi\) |
0.223830 | + | 0.974628i | \(0.428144\pi\) | |||||||
\(908\) | −5.21461 | + | 0.598321i | −0.173053 | + | 0.0198560i | ||||
\(909\) | 27.2545 | + | 15.3913i | 0.903973 | + | 0.510497i | ||||
\(910\) | 0.709213 | − | 1.34411i | 0.0235102 | − | 0.0445567i | ||||
\(911\) | −11.7151 | − | 9.57941i | −0.388139 | − | 0.317380i | 0.418729 | − | 0.908111i | \(-0.362476\pi\) |
−0.806868 | + | 0.590731i | \(0.798839\pi\) | |||||||
\(912\) | −24.0690 | − | 52.7038i | −0.797004 | − | 1.74520i | ||||
\(913\) | −4.18518 | + | 8.69721i | −0.138509 | + | 0.287836i | ||||
\(914\) | −2.61719 | + | 5.73084i | −0.0865689 | + | 0.189559i | ||||
\(915\) | −15.6032 | + | 7.67156i | −0.515825 | + | 0.253614i | ||||
\(916\) | −3.80878 | + | 3.91915i | −0.125846 | + | 0.129492i | ||||
\(917\) | 35.4926 | − | 2.02954i | 1.17207 | − | 0.0670213i | ||||
\(918\) | 2.01650 | + | 7.67158i | 0.0665546 | + | 0.253200i | ||||
\(919\) | 0.158370 | − | 5.54368i | 0.00522415 | − | 0.182869i | −0.992789 | − | 0.119871i | \(-0.961752\pi\) |
0.998014 | − | 0.0629983i | \(-0.0200663\pi\) | |||||||
\(920\) | 0.270067 | + | 0.511834i | 0.00890385 | + | 0.0168747i | ||||
\(921\) | −5.09346 | + | 25.1372i | −0.167835 | + | 0.828300i | ||||
\(922\) | −9.32953 | + | 35.4932i | −0.307252 | + | 1.16891i | ||||
\(923\) | 3.32548 | + | 0.976448i | 0.109459 | + | 0.0321402i | ||||
\(924\) | −13.3732 | − | 5.07684i | −0.439946 | − | 0.167016i | ||||
\(925\) | 6.22262 | − | 1.82713i | 0.204598 | − | 0.0600755i | ||||
\(926\) | −1.85420 | − | 64.9054i | −0.0609327 | − | 2.13292i | ||||
\(927\) | −27.1896 | + | 15.3547i | −0.893023 | + | 0.504313i | ||||
\(928\) | 11.2914 | − | 8.20370i | 0.370659 | − | 0.269300i | ||||
\(929\) | −25.4352 | + | 10.7490i | −0.834501 | + | 0.352663i | −0.764293 | − | 0.644869i | \(-0.776912\pi\) |
−0.0702082 | + | 0.997532i | \(0.522366\pi\) | |||||||
\(930\) | 17.7079 | + | 3.06448i | 0.580666 | + | 0.100488i | ||||
\(931\) | −3.31880 | + | 38.6401i | −0.108769 | + | 1.26638i | ||||
\(932\) | 0.403334 | + | 4.69593i | 0.0132116 | + | 0.153820i | ||||
\(933\) | 64.0545 | − | 11.0851i | 2.09705 | − | 0.362909i | ||||
\(934\) | −45.2649 | + | 29.0900i | −1.48111 | + | 0.951853i | ||||
\(935\) | 14.6230 | + | 2.83448i | 0.478223 | + | 0.0926972i | ||||
\(936\) | −1.28763 | − | 0.827508i | −0.0420874 | − | 0.0270479i | ||||
\(937\) | −28.0671 | − | 11.8612i | −0.916911 | − | 0.387490i | −0.120826 | − | 0.992674i | \(-0.538554\pi\) |
−0.796086 | + | 0.605184i | \(0.793100\pi\) | |||||||
\(938\) | 72.9885 | − | 16.9728i | 2.38316 | − | 0.554180i | ||||
\(939\) | 6.15426 | − | 15.8071i | 0.200837 | − | 0.515845i | ||||
\(940\) | −1.19700 | − | 1.98499i | −0.0390417 | − | 0.0647434i | ||||
\(941\) | −2.59482 | + | 7.98603i | −0.0845887 | + | 0.260337i | −0.984401 | − | 0.175940i | \(-0.943703\pi\) |
0.899812 | + | 0.436278i | \(0.143703\pi\) | |||||||
\(942\) | 38.8440 | − | 50.3739i | 1.26561 | − | 1.64127i | ||||
\(943\) | −0.0682735 | − | 0.175359i | −0.00222329 | − | 0.00571048i | ||||
\(944\) | 1.16377 | + | 1.70196i | 0.0378775 | + | 0.0553941i | ||||
\(945\) | 0.606276 | − | 4.21674i | 0.0197221 | − | 0.137171i | ||||
\(946\) | −1.37136 | + | 12.9155i | −0.0445868 | + | 0.419921i | ||||
\(947\) | 4.70123 | + | 32.6978i | 0.152770 | + | 1.06254i | 0.911550 | + | 0.411189i | \(0.134886\pi\) |
−0.758780 | + | 0.651347i | \(0.774204\pi\) | |||||||
\(948\) | 12.1995 | − | 11.1966i | 0.396223 | − | 0.363650i | ||||
\(949\) | −1.14290 | − | 0.0653532i | −0.0371000 | − | 0.00212145i | ||||
\(950\) | 1.63014 | + | 8.04505i | 0.0528887 | + | 0.261016i | ||||
\(951\) | 24.0123 | − | 19.6348i | 0.778654 | − | 0.636702i | ||||
\(952\) | −36.6174 | − | 18.0036i | −1.18678 | − | 0.583499i | ||||
\(953\) | −24.7927 | + | 8.84603i | −0.803116 | + | 0.286551i | −0.705534 | − | 0.708676i | \(-0.749293\pi\) |
−0.0975820 | + | 0.995227i | \(0.531111\pi\) | |||||||
\(954\) | 19.2029 | + | 24.9028i | 0.621718 | + | 0.806259i | ||||
\(955\) | −11.4144 | + | 18.9286i | −0.369361 | + | 0.612516i | ||||
\(956\) | 3.35623 | + | 3.87330i | 0.108548 | + | 0.125271i | ||||
\(957\) | −11.7824 | − | 38.9069i | −0.380871 | − | 1.25768i | ||||
\(958\) | −36.4587 | + | 42.0755i | −1.17793 | + | 1.35940i | ||||
\(959\) | 16.2517 | + | 50.0174i | 0.524793 | + | 1.61515i | ||||
\(960\) | −11.6171 | − | 4.14499i | −0.374942 | − | 0.133779i | ||||
\(961\) | −5.19111 | − | 5.34153i | −0.167455 | − | 0.172307i | ||||
\(962\) | 1.91056 | + | 1.75350i | 0.0615991 | + | 0.0565351i | ||||
\(963\) | 11.1726 | − | 16.3394i | 0.360032 | − | 0.526531i | ||||
\(964\) | −5.14617 | − | 1.19669i | −0.165747 | − | 0.0385428i | ||||
\(965\) | 10.2761 | + | 7.46601i | 0.330799 | + | 0.240339i | ||||
\(966\) | 3.38489 | + | 0.388380i | 0.108907 | + | 0.0124959i | ||||
\(967\) | −49.5158 | −1.59232 | −0.796160 | − | 0.605087i | \(-0.793139\pi\) | ||||
−0.796160 | + | 0.605087i | \(0.793139\pi\) | |||||||
\(968\) | −16.4076 | − | 20.5494i | −0.527360 | − | 0.660483i | ||||
\(969\) | 54.9828 | 1.76630 | ||||||||
\(970\) | 13.4127 | + | 1.53896i | 0.430655 | + | 0.0494131i | ||||
\(971\) | −36.6713 | − | 26.6432i | −1.17684 | − | 0.855022i | −0.185025 | − | 0.982734i | \(-0.559237\pi\) |
−0.991811 | + | 0.127712i | \(0.959237\pi\) | |||||||
\(972\) | 9.69636 | + | 2.25479i | 0.311011 | + | 0.0723225i | ||||
\(973\) | 20.9339 | − | 30.6149i | 0.671110 | − | 0.981467i | ||||
\(974\) | −22.1508 | − | 20.3298i | −0.709757 | − | 0.651409i | ||||
\(975\) | 0.415644 | + | 0.427688i | 0.0133113 | + | 0.0136970i | ||||
\(976\) | −32.9773 | − | 11.7663i | −1.05558 | − | 0.376629i | ||||
\(977\) | −2.02314 | − | 6.22657i | −0.0647259 | − | 0.199206i | 0.913464 | − | 0.406921i | \(-0.133397\pi\) |
−0.978189 | + | 0.207715i | \(0.933397\pi\) | |||||||
\(978\) | 19.7993 | − | 22.8496i | 0.633110 | − | 0.730648i | ||||
\(979\) | 8.10880 | − | 7.14727i | 0.259158 | − | 0.228428i | ||||
\(980\) | −2.35410 | − | 2.71678i | −0.0751990 | − | 0.0867842i | ||||
\(981\) | 21.4807 | − | 35.6217i | 0.685824 | − | 1.13731i | ||||
\(982\) | −14.7101 | − | 19.0764i | −0.469418 | − | 0.608752i | ||||
\(983\) | −23.4221 | + | 8.35697i | −0.747047 | + | 0.266546i | −0.682016 | − | 0.731337i | \(-0.738897\pi\) |
−0.0650314 | + | 0.997883i | \(0.520715\pi\) | |||||||
\(984\) | 3.91909 | + | 1.92689i | 0.124936 | + | 0.0614269i | ||||
\(985\) | 9.16124 | − | 7.49111i | 0.291901 | − | 0.238687i | ||||
\(986\) | 7.32958 | + | 36.1729i | 0.233421 | + | 1.15198i | ||||
\(987\) | 42.8067 | + | 2.44777i | 1.36255 | + | 0.0779135i | ||||
\(988\) | −0.470298 | + | 0.431636i | −0.0149622 | + | 0.0137322i | ||||
\(989\) | −0.0856227 | − | 0.595519i | −0.00272264 | − | 0.0189364i | ||||
\(990\) | 8.26000 | − | 10.2777i | 0.262520 | − | 0.326647i | ||||
\(991\) | 4.61406 | − | 32.0915i | 0.146570 | − | 1.01942i | −0.775209 | − | 0.631705i | \(-0.782355\pi\) |
0.921779 | − | 0.387715i | \(-0.126735\pi\) | |||||||
\(992\) | 7.33038 | + | 10.7203i | 0.232740 | + | 0.340371i | ||||
\(993\) | 11.1589 | + | 28.6614i | 0.354117 | + | 0.909542i | ||||
\(994\) | 49.9454 | − | 64.7703i | 1.58417 | − | 2.05439i | ||||
\(995\) | −1.47046 | + | 4.52560i | −0.0466166 | + | 0.143471i | ||||
\(996\) | −1.70536 | − | 2.82802i | −0.0540364 | − | 0.0896094i | ||||
\(997\) | −1.11284 | + | 2.85830i | −0.0352439 | + | 0.0905232i | −0.948386 | − | 0.317118i | \(-0.897285\pi\) |
0.913142 | + | 0.407641i | \(0.133649\pi\) | |||||||
\(998\) | 26.3843 | − | 6.13540i | 0.835179 | − | 0.194213i | ||||
\(999\) | 6.69600 | + | 2.82975i | 0.211852 | + | 0.0895294i |
(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 | 605.2.s.b.16.6 | ✓ | 880 | |
121.53 | even | 55 | inner | 605.2.s.b.416.6 | yes | 880 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.s.b.16.6 | ✓ | 880 | 1.1 | even | 1 | trivial | |
605.2.s.b.416.6 | yes | 880 | 121.53 | even | 55 | inner |