Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 14.13 | ||
Character | \(\chi\) | \(=\) | 177.14 |
Dual form | 177.2.f.a.38.13 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{19}{58}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.33854 | − | 0.805370i | 0.946488 | − | 0.569483i | 0.0434553 | − | 0.999055i | \(-0.486163\pi\) |
0.903032 | + | 0.429573i | \(0.141336\pi\) | |||||||
\(3\) | −1.36238 | + | 1.06955i | −0.786568 | + | 0.617504i | ||||
\(4\) | 0.206240 | − | 0.389009i | 0.103120 | − | 0.194505i | ||||
\(5\) | 0.277684 | + | 2.55326i | 0.124184 | + | 1.14185i | 0.875943 | + | 0.482415i | \(0.160240\pi\) |
−0.751758 | + | 0.659439i | \(0.770794\pi\) | |||||||
\(6\) | −0.962205 | + | 2.52884i | −0.392819 | + | 1.03240i | ||||
\(7\) | 2.22081 | − | 0.748279i | 0.839388 | − | 0.282823i | 0.133414 | − | 0.991060i | \(-0.457406\pi\) |
0.705974 | + | 0.708238i | \(0.250509\pi\) | |||||||
\(8\) | 0.131908 | + | 2.43291i | 0.0466367 | + | 0.860163i | ||||
\(9\) | 0.712132 | − | 2.91425i | 0.237377 | − | 0.971417i | ||||
\(10\) | 2.42801 | + | 3.19400i | 0.767805 | + | 1.01003i | ||||
\(11\) | −0.00960777 | + | 0.0141704i | −0.00289685 | + | 0.00427253i | −0.829135 | − | 0.559049i | \(-0.811166\pi\) |
0.826238 | + | 0.563321i | \(0.190477\pi\) | |||||||
\(12\) | 0.135088 | + | 0.750559i | 0.0389966 | + | 0.216668i | ||||
\(13\) | −0.735037 | + | 0.775969i | −0.203863 | + | 0.215215i | −0.819908 | − | 0.572496i | \(-0.805975\pi\) |
0.616045 | + | 0.787711i | \(0.288734\pi\) | |||||||
\(14\) | 2.36999 | − | 2.79017i | 0.633408 | − | 0.745705i | ||||
\(15\) | −3.10915 | − | 3.18151i | −0.802779 | − | 0.821461i | ||||
\(16\) | 2.63013 | + | 3.87916i | 0.657534 | + | 0.969790i | ||||
\(17\) | 0.403390 | − | 1.19722i | 0.0978364 | − | 0.290368i | −0.887548 | − | 0.460716i | \(-0.847593\pi\) |
0.985384 | + | 0.170348i | \(0.0544892\pi\) | |||||||
\(18\) | −1.39384 | − | 4.47436i | −0.328531 | − | 1.05462i | ||||
\(19\) | −0.426929 | − | 2.60415i | −0.0979441 | − | 0.597433i | −0.989501 | − | 0.144524i | \(-0.953835\pi\) |
0.891557 | − | 0.452908i | \(-0.149613\pi\) | |||||||
\(20\) | 1.05051 | + | 0.418562i | 0.234902 | + | 0.0935934i | ||||
\(21\) | −2.22526 | + | 3.39470i | −0.485591 | + | 0.740785i | ||||
\(22\) | −0.00144792 | + | 0.0267054i | −0.000308698 | + | 0.00569361i | ||||
\(23\) | −2.38236 | − | 8.58047i | −0.496756 | − | 1.78915i | −0.606375 | − | 0.795179i | \(-0.707377\pi\) |
0.109619 | − | 0.993974i | \(-0.465037\pi\) | |||||||
\(24\) | −2.78182 | − | 3.17345i | −0.567837 | − | 0.647778i | ||||
\(25\) | −1.55894 | + | 0.343149i | −0.311789 | + | 0.0686299i | ||||
\(26\) | −0.358931 | + | 1.63064i | −0.0703922 | + | 0.319795i | ||||
\(27\) | 2.14674 | + | 4.73197i | 0.413141 | + | 0.910667i | ||||
\(28\) | 0.166932 | − | 1.01824i | 0.0315472 | − | 0.192429i | ||||
\(29\) | 0.278052 | − | 0.462125i | 0.0516329 | − | 0.0858145i | −0.829966 | − | 0.557814i | \(-0.811640\pi\) |
0.881599 | + | 0.472000i | \(0.156468\pi\) | |||||||
\(30\) | −6.72400 | − | 1.75454i | −1.22763 | − | 0.320334i | ||||
\(31\) | −1.33466 | − | 0.218807i | −0.239713 | − | 0.0392989i | 0.0407280 | − | 0.999170i | \(-0.487032\pi\) |
−0.280441 | + | 0.959871i | \(0.590481\pi\) | |||||||
\(32\) | 2.22211 | + | 1.02806i | 0.392817 | + | 0.181736i | ||||
\(33\) | −0.00206654 | − | 0.0295814i | −0.000359739 | − | 0.00514945i | ||||
\(34\) | −0.424252 | − | 1.92740i | −0.0727587 | − | 0.330546i | ||||
\(35\) | 2.52724 | + | 5.46253i | 0.427181 | + | 0.923337i | ||||
\(36\) | −0.986801 | − | 0.878060i | −0.164467 | − | 0.146343i | ||||
\(37\) | −8.98479 | − | 0.487141i | −1.47709 | − | 0.0800855i | −0.702109 | − | 0.712070i | \(-0.747758\pi\) |
−0.774981 | + | 0.631984i | \(0.782241\pi\) | |||||||
\(38\) | −2.66876 | − | 3.14191i | −0.432930 | − | 0.509685i | ||||
\(39\) | 0.171460 | − | 1.84332i | 0.0274555 | − | 0.295167i | ||||
\(40\) | −6.17522 | + | 1.01238i | −0.976389 | + | 0.160071i | ||||
\(41\) | 6.38425 | + | 1.77258i | 0.997053 | + | 0.276830i | 0.727465 | − | 0.686145i | \(-0.240699\pi\) |
0.269588 | + | 0.962976i | \(0.413112\pi\) | |||||||
\(42\) | −0.244596 | + | 6.33609i | −0.0377421 | + | 0.977679i | ||||
\(43\) | 6.76575 | − | 4.58729i | 1.03177 | − | 0.699556i | 0.0770373 | − | 0.997028i | \(-0.475454\pi\) |
0.954730 | + | 0.297472i | \(0.0961436\pi\) | |||||||
\(44\) | 0.00353091 | + | 0.00666000i | 0.000532305 | + | 0.00100403i | ||||
\(45\) | 7.63860 | + | 1.00902i | 1.13870 | + | 0.150416i | ||||
\(46\) | −10.0993 | − | 9.56659i | −1.48906 | − | 1.41052i | ||||
\(47\) | 12.2856 | + | 1.33614i | 1.79204 | + | 0.194896i | 0.942857 | − | 0.333198i | \(-0.108128\pi\) |
0.849186 | + | 0.528094i | \(0.177093\pi\) | |||||||
\(48\) | −7.73218 | − | 2.47181i | −1.11604 | − | 0.356775i | ||||
\(49\) | −1.20057 | + | 0.912648i | −0.171510 | + | 0.130378i | ||||
\(50\) | −1.81034 | + | 1.71484i | −0.256020 | + | 0.242515i | ||||
\(51\) | 0.730915 | + | 2.06251i | 0.102349 | + | 0.288809i | ||||
\(52\) | 0.150265 | + | 0.445972i | 0.0208381 | + | 0.0618452i | ||||
\(53\) | −0.133833 | + | 0.176055i | −0.0183834 | + | 0.0241829i | −0.805193 | − | 0.593013i | \(-0.797938\pi\) |
0.786810 | + | 0.617196i | \(0.211731\pi\) | |||||||
\(54\) | 6.68447 | + | 4.60498i | 0.909642 | + | 0.626659i | ||||
\(55\) | −0.0388487 | − | 0.0205963i | −0.00523835 | − | 0.00277720i | ||||
\(56\) | 2.11344 | + | 5.30433i | 0.282420 | + | 0.708820i | ||||
\(57\) | 3.36690 | + | 3.09121i | 0.445957 | + | 0.409440i | ||||
\(58\) | − | 0.842506i | − | 0.110626i | ||||||
\(59\) | −7.02188 | − | 3.11339i | −0.914171 | − | 0.405329i | ||||
\(60\) | −1.87886 | + | 0.553335i | −0.242560 | + | 0.0714352i | ||||
\(61\) | 6.33456 | + | 10.5281i | 0.811058 | + | 1.34799i | 0.934619 | + | 0.355651i | \(0.115741\pi\) |
−0.123561 | + | 0.992337i | \(0.539431\pi\) | |||||||
\(62\) | −1.96271 | + | 0.782017i | −0.249265 | + | 0.0993163i | ||||
\(63\) | −0.599161 | − | 7.00488i | −0.0754871 | − | 0.882532i | ||||
\(64\) | −5.51619 | + | 0.599921i | −0.689523 | + | 0.0749902i | ||||
\(65\) | −2.18536 | − | 1.66127i | −0.271061 | − | 0.206055i | ||||
\(66\) | −0.0265901 | − | 0.0379314i | −0.00327301 | − | 0.00466903i | ||||
\(67\) | −8.60816 | + | 0.466721i | −1.05165 | + | 0.0570191i | −0.571852 | − | 0.820357i | \(-0.693775\pi\) |
−0.479803 | + | 0.877376i | \(0.659292\pi\) | |||||||
\(68\) | −0.382534 | − | 0.403836i | −0.0463890 | − | 0.0489723i | ||||
\(69\) | 12.4229 | + | 9.14178i | 1.49554 | + | 1.10054i | ||||
\(70\) | 7.78216 | + | 5.27643i | 0.930146 | + | 0.630654i | ||||
\(71\) | 1.08936 | − | 10.0165i | 0.129283 | − | 1.18874i | −0.732251 | − | 0.681035i | \(-0.761530\pi\) |
0.861533 | − | 0.507701i | \(-0.169504\pi\) | |||||||
\(72\) | 7.18404 | + | 1.34814i | 0.846648 | + | 0.158880i | ||||
\(73\) | −0.531194 | − | 0.451201i | −0.0621716 | − | 0.0528090i | 0.615762 | − | 0.787932i | \(-0.288848\pi\) |
−0.677933 | + | 0.735123i | \(0.737124\pi\) | |||||||
\(74\) | −12.4188 | + | 6.58402i | −1.44365 | + | 0.765377i | ||||
\(75\) | 1.75685 | − | 2.13486i | 0.202864 | − | 0.246513i | ||||
\(76\) | −1.10109 | − | 0.370999i | −0.126303 | − | 0.0425565i | ||||
\(77\) | −0.0107336 | + | 0.0386591i | −0.00122321 | + | 0.00440561i | ||||
\(78\) | −1.25505 | − | 2.60544i | −0.142106 | − | 0.295008i | ||||
\(79\) | 5.45765 | − | 13.6977i | 0.614033 | − | 1.54111i | −0.211872 | − | 0.977298i | \(-0.567956\pi\) |
0.825905 | − | 0.563810i | \(-0.190665\pi\) | |||||||
\(80\) | −9.17417 | + | 7.79261i | −1.02570 | + | 0.871240i | ||||
\(81\) | −7.98573 | − | 4.15067i | −0.887304 | − | 0.461185i | ||||
\(82\) | 9.97313 | − | 2.76903i | 1.10135 | − | 0.305788i | ||||
\(83\) | −3.85743 | + | 1.78464i | −0.423407 | + | 0.195889i | −0.620010 | − | 0.784594i | \(-0.712871\pi\) |
0.196602 | + | 0.980483i | \(0.437009\pi\) | |||||||
\(84\) | 0.861633 | + | 1.56577i | 0.0940119 | + | 0.170839i | ||||
\(85\) | 3.16883 | + | 0.697512i | 0.343708 | + | 0.0756558i | ||||
\(86\) | 5.36173 | − | 11.5892i | 0.578170 | − | 1.24969i | ||||
\(87\) | 0.115455 | + | 0.926978i | 0.0123781 | + | 0.0993824i | ||||
\(88\) | −0.0357426 | − | 0.0215056i | −0.00381017 | − | 0.00229251i | ||||
\(89\) | −4.14733 | − | 2.49537i | −0.439616 | − | 0.264508i | 0.278494 | − | 0.960438i | \(-0.410165\pi\) |
−0.718110 | + | 0.695930i | \(0.754992\pi\) | |||||||
\(90\) | 11.0372 | − | 4.80129i | 1.16342 | − | 0.506101i | ||||
\(91\) | −1.05174 | + | 2.27329i | −0.110252 | + | 0.238306i | ||||
\(92\) | −3.82922 | − | 0.842875i | −0.399224 | − | 0.0878758i | ||||
\(93\) | 2.05234 | − | 1.12939i | 0.212817 | − | 0.117112i | ||||
\(94\) | 17.5208 | − | 8.10600i | 1.80714 | − | 0.836070i | ||||
\(95\) | 6.53053 | − | 1.81319i | 0.670018 | − | 0.186030i | ||||
\(96\) | −4.12690 | + | 0.976053i | −0.421200 | + | 0.0996180i | ||||
\(97\) | −5.33641 | + | 4.53279i | −0.541831 | + | 0.460235i | −0.876023 | − | 0.482270i | \(-0.839812\pi\) |
0.334192 | + | 0.942505i | \(0.391537\pi\) | |||||||
\(98\) | −0.871983 | + | 2.18851i | −0.0880836 | + | 0.221073i | ||||
\(99\) | 0.0344541 | + | 0.0380907i | 0.00346277 | + | 0.00382825i | ||||
\(100\) | −0.188027 | + | 0.677214i | −0.0188027 | + | 0.0677214i | ||||
\(101\) | −6.77199 | − | 2.28175i | −0.673838 | − | 0.227042i | −0.0384791 | − | 0.999259i | \(-0.512251\pi\) |
−0.635359 | + | 0.772217i | \(0.719148\pi\) | |||||||
\(102\) | 2.63944 | + | 2.17208i | 0.261343 | + | 0.215068i | ||||
\(103\) | −16.8558 | + | 8.93636i | −1.66085 | + | 0.880526i | −0.670502 | + | 0.741908i | \(0.733921\pi\) |
−0.990346 | + | 0.138617i | \(0.955734\pi\) | |||||||
\(104\) | −1.98482 | − | 1.68592i | −0.194628 | − | 0.165318i | ||||
\(105\) | −9.28549 | − | 4.73902i | −0.906171 | − | 0.462481i | ||||
\(106\) | −0.0373514 | + | 0.343440i | −0.00362789 | + | 0.0333579i | ||||
\(107\) | 0.214121 | + | 0.145178i | 0.0206999 | + | 0.0140349i | 0.571493 | − | 0.820607i | \(-0.306364\pi\) |
−0.550793 | + | 0.834642i | \(0.685675\pi\) | |||||||
\(108\) | 2.28352 | + | 0.140816i | 0.219732 | + | 0.0135500i | ||||
\(109\) | 11.8283 | + | 12.4870i | 1.13295 | + | 1.19604i | 0.978108 | + | 0.208097i | \(0.0667271\pi\) |
0.154838 | + | 0.987940i | \(0.450514\pi\) | |||||||
\(110\) | −0.0685880 | + | 0.00371873i | −0.00653960 | + | 0.000354567i | ||||
\(111\) | 12.7617 | − | 8.94599i | 1.21128 | − | 0.849116i | ||||
\(112\) | 8.74373 | + | 6.64681i | 0.826204 | + | 0.628064i | ||||
\(113\) | −8.31220 | + | 0.904006i | −0.781946 | + | 0.0850417i | −0.490380 | − | 0.871509i | \(-0.663142\pi\) |
−0.291566 | + | 0.956551i | \(0.594176\pi\) | |||||||
\(114\) | 6.99628 | + | 1.42609i | 0.655262 | + | 0.133566i | ||||
\(115\) | 21.2467 | − | 8.46545i | 1.98126 | − | 0.789407i | ||||
\(116\) | −0.122426 | − | 0.203473i | −0.0113669 | − | 0.0188920i | ||||
\(117\) | 1.73793 | + | 2.69468i | 0.160671 | + | 0.249123i | ||||
\(118\) | −11.9065 | + | 1.48782i | −1.09608 | + | 0.136965i | ||||
\(119\) | − | 2.96064i | − | 0.271402i | ||||||
\(120\) | 7.33019 | − | 7.98394i | 0.669151 | − | 0.728831i | ||||
\(121\) | 4.07141 | + | 10.2185i | 0.370128 | + | 0.928952i | ||||
\(122\) | 16.9581 | + | 8.99060i | 1.53531 | + | 0.813971i | ||||
\(123\) | −10.5936 | + | 4.41335i | −0.955194 | + | 0.397938i | ||||
\(124\) | −0.360378 | + | 0.474069i | −0.0323629 | + | 0.0425727i | ||||
\(125\) | 2.79130 | + | 8.28427i | 0.249661 | + | 0.740968i | ||||
\(126\) | −6.44352 | − | 8.89373i | −0.574034 | − | 0.792317i | ||||
\(127\) | −10.0163 | + | 9.48791i | −0.888799 | + | 0.841916i | −0.988206 | − | 0.153131i | \(-0.951064\pi\) |
0.0994064 | + | 0.995047i | \(0.468306\pi\) | |||||||
\(128\) | −10.7988 | + | 8.20900i | −0.954485 | + | 0.725580i | ||||
\(129\) | −4.31116 | + | 13.4859i | −0.379577 | + | 1.18737i | ||||
\(130\) | −4.26312 | − | 0.463643i | −0.373901 | − | 0.0406641i | ||||
\(131\) | 15.4335 | + | 14.6193i | 1.34843 | + | 1.27730i | 0.929278 | + | 0.369380i | \(0.120430\pi\) |
0.419149 | + | 0.907918i | \(0.362329\pi\) | |||||||
\(132\) | −0.0119336 | − | 0.00529694i | −0.00103869 | − | 0.000461040i | ||||
\(133\) | −2.89676 | − | 5.46386i | −0.251181 | − | 0.473777i | ||||
\(134\) | −11.1465 | + | 7.55748i | −0.962907 | + | 0.652867i | ||||
\(135\) | −11.4858 | + | 6.79519i | −0.988544 | + | 0.584837i | ||||
\(136\) | 2.96593 | + | 0.823487i | 0.254327 | + | 0.0706134i | ||||
\(137\) | −8.60459 | + | 1.41065i | −0.735140 | + | 0.120520i | −0.517710 | − | 0.855556i | \(-0.673216\pi\) |
−0.217430 | + | 0.976076i | \(0.569767\pi\) | |||||||
\(138\) | 23.9910 | + | 2.23157i | 2.04225 | + | 0.189964i | ||||
\(139\) | −0.456235 | − | 0.537122i | −0.0386974 | − | 0.0455581i | 0.742473 | − | 0.669876i | \(-0.233653\pi\) |
−0.781170 | + | 0.624318i | \(0.785377\pi\) | |||||||
\(140\) | 2.64619 | + | 0.143472i | 0.223644 | + | 0.0121256i | ||||
\(141\) | −18.1667 | + | 11.3197i | −1.52991 | + | 0.953294i | ||||
\(142\) | −6.60882 | − | 14.2847i | −0.554600 | − | 1.19875i | ||||
\(143\) | −0.00393373 | − | 0.0178711i | −0.000328955 | − | 0.00149446i | ||||
\(144\) | 13.1779 | − | 4.90240i | 1.09815 | − | 0.408533i | ||||
\(145\) | 1.25714 | + | 0.581614i | 0.104400 | + | 0.0483004i | ||||
\(146\) | −1.07441 | − | 0.176140i | −0.0889185 | − | 0.0145774i | ||||
\(147\) | 0.659502 | − | 2.52743i | 0.0543948 | − | 0.208459i | ||||
\(148\) | −2.04252 | + | 3.39470i | −0.167894 | + | 0.279042i | ||||
\(149\) | 1.16494 | − | 7.10581i | 0.0954355 | − | 0.582131i | −0.895207 | − | 0.445650i | \(-0.852973\pi\) |
0.990643 | − | 0.136481i | \(-0.0435791\pi\) | |||||||
\(150\) | 0.632252 | − | 4.27250i | 0.0516231 | − | 0.348849i | ||||
\(151\) | 3.05382 | − | 13.8736i | 0.248516 | − | 1.12902i | −0.672683 | − | 0.739931i | \(-0.734858\pi\) |
0.921200 | − | 0.389091i | \(-0.127211\pi\) | |||||||
\(152\) | 6.27934 | − | 1.38219i | 0.509322 | − | 0.112110i | ||||
\(153\) | −3.20173 | − | 2.02816i | −0.258844 | − | 0.163967i | ||||
\(154\) | 0.0167675 | + | 0.0603911i | 0.00135116 | + | 0.00486645i | ||||
\(155\) | 0.188057 | − | 3.46851i | 0.0151051 | − | 0.278597i | ||||
\(156\) | −0.681706 | − | 0.446865i | −0.0545802 | − | 0.0357778i | ||||
\(157\) | −17.6500 | − | 7.03239i | −1.40862 | − | 0.561246i | −0.462954 | − | 0.886382i | \(-0.653210\pi\) |
−0.945667 | + | 0.325136i | \(0.894590\pi\) | |||||||
\(158\) | −3.72643 | − | 22.7302i | −0.296459 | − | 1.80832i | ||||
\(159\) | −0.00596784 | − | 0.382993i | −0.000473280 | − | 0.0303733i | ||||
\(160\) | −2.00785 | + | 5.95910i | −0.158735 | + | 0.471108i | ||||
\(161\) | −11.7114 | − | 17.2730i | −0.922984 | − | 1.36130i | ||||
\(162\) | −14.0320 | + | 0.875656i | −1.10246 | + | 0.0687980i | ||||
\(163\) | 6.98990 | − | 8.22915i | 0.547491 | − | 0.644557i | −0.416926 | − | 0.908940i | \(-0.636893\pi\) |
0.964418 | + | 0.264384i | \(0.0851686\pi\) | |||||||
\(164\) | 2.00624 | − | 2.11796i | 0.156661 | − | 0.165385i | ||||
\(165\) | 0.0749552 | − | 0.0134907i | 0.00583525 | − | 0.00105025i | ||||
\(166\) | −3.72601 | + | 5.49545i | −0.289194 | + | 0.426530i | ||||
\(167\) | 2.45456 | + | 3.22892i | 0.189940 | + | 0.249861i | 0.881199 | − | 0.472745i | \(-0.156737\pi\) |
−0.691259 | + | 0.722607i | \(0.742944\pi\) | |||||||
\(168\) | −8.55253 | − | 4.96606i | −0.659842 | − | 0.383140i | ||||
\(169\) | 0.641957 | + | 11.8402i | 0.0493813 | + | 0.910785i | ||||
\(170\) | 4.80335 | − | 1.61844i | 0.368400 | − | 0.124128i | ||||
\(171\) | −7.89318 | − | 0.610321i | −0.603606 | − | 0.0466724i | ||||
\(172\) | −0.389133 | − | 3.57802i | −0.0296711 | − | 0.272822i | ||||
\(173\) | 4.38296 | − | 8.26715i | 0.333231 | − | 0.628539i | −0.659114 | − | 0.752043i | \(-0.729068\pi\) |
0.992344 | + | 0.123504i | \(0.0394132\pi\) | |||||||
\(174\) | 0.901101 | + | 1.14781i | 0.0683123 | + | 0.0870152i | ||||
\(175\) | −3.20535 | + | 1.92859i | −0.242301 | + | 0.145788i | ||||
\(176\) | −0.0802389 | −0.00604824 | ||||||||
\(177\) | 12.8964 | − | 3.26863i | 0.969350 | − | 0.245685i | ||||
\(178\) | −7.56105 | −0.566724 | ||||||||
\(179\) | −13.7586 | + | 8.27825i | −1.02836 | + | 0.618746i | −0.926594 | − | 0.376062i | \(-0.877278\pi\) |
−0.101769 | + | 0.994808i | \(0.532450\pi\) | |||||||
\(180\) | 1.96790 | − | 2.76339i | 0.146679 | − | 0.205971i | ||||
\(181\) | 5.47022 | − | 10.3179i | 0.406598 | − | 0.766926i | −0.592659 | − | 0.805453i | \(-0.701922\pi\) |
0.999258 | + | 0.0385274i | \(0.0122667\pi\) | |||||||
\(182\) | 0.423055 | + | 3.88992i | 0.0313589 | + | 0.288340i | ||||
\(183\) | −19.8904 | − | 7.56814i | −1.47034 | − | 0.559453i | ||||
\(184\) | 20.5612 | − | 6.92789i | 1.51580 | − | 0.510731i | ||||
\(185\) | −1.25113 | − | 23.0758i | −0.0919852 | − | 1.69657i | ||||
\(186\) | 1.83755 | − | 3.16462i | 0.134736 | − | 0.232041i | ||||
\(187\) | 0.0130894 | + | 0.0172188i | 0.000957190 | + | 0.00125916i | ||||
\(188\) | 3.05355 | − | 4.50365i | 0.222703 | − | 0.328463i | ||||
\(189\) | 8.30834 | + | 8.90244i | 0.604343 | + | 0.647557i | ||||
\(190\) | 7.28105 | − | 7.68651i | 0.528223 | − | 0.557638i | ||||
\(191\) | −3.59094 | + | 4.22759i | −0.259832 | + | 0.305897i | −0.876573 | − | 0.481268i | \(-0.840176\pi\) |
0.616742 | + | 0.787165i | \(0.288452\pi\) | |||||||
\(192\) | 6.87347 | − | 6.71715i | 0.496050 | − | 0.484768i | ||||
\(193\) | −2.78380 | − | 4.10580i | −0.200383 | − | 0.295542i | 0.714200 | − | 0.699942i | \(-0.246791\pi\) |
−0.914582 | + | 0.404400i | \(0.867480\pi\) | |||||||
\(194\) | −3.49241 | + | 10.3651i | −0.250740 | + | 0.744170i | ||||
\(195\) | 4.75409 | − | 0.0740787i | 0.340448 | − | 0.00530489i | ||||
\(196\) | 0.107424 | + | 0.655256i | 0.00767312 | + | 0.0468040i | ||||
\(197\) | −10.2250 | − | 4.07402i | −0.728502 | − | 0.290262i | −0.0237522 | − | 0.999718i | \(-0.507561\pi\) |
−0.704749 | + | 0.709456i | \(0.748941\pi\) | |||||||
\(198\) | 0.0767951 | + | 0.0232374i | 0.00545759 | + | 0.00165141i | ||||
\(199\) | −0.140116 | + | 2.58429i | −0.00993257 | + | 0.183196i | 0.989357 | + | 0.145508i | \(0.0464818\pi\) |
−0.999290 | + | 0.0376871i | \(0.988001\pi\) | |||||||
\(200\) | −1.04049 | − | 3.74750i | −0.0735736 | − | 0.264988i | ||||
\(201\) | 11.2284 | − | 9.84270i | 0.791988 | − | 0.694250i | ||||
\(202\) | −10.9022 | + | 2.39976i | −0.767076 | + | 0.168846i | ||||
\(203\) | 0.271702 | − | 1.23435i | 0.0190697 | − | 0.0866346i | ||||
\(204\) | 0.953077 | + | 0.141038i | 0.0667287 | + | 0.00987462i | ||||
\(205\) | −2.75306 | + | 16.7929i | −0.192282 | + | 1.17287i | ||||
\(206\) | −15.3650 | + | 25.5368i | −1.07053 | + | 1.77923i | ||||
\(207\) | −26.7022 | + | 0.832355i | −1.85593 | + | 0.0578527i | ||||
\(208\) | −4.94336 | − | 0.810422i | −0.342760 | − | 0.0561927i | ||||
\(209\) | 0.0410036 | + | 0.0189703i | 0.00283628 | + | 0.00131220i | ||||
\(210\) | −16.2456 | + | 1.13491i | −1.12105 | + | 0.0783163i | ||||
\(211\) | −2.79156 | − | 12.6822i | −0.192179 | − | 0.873077i | −0.969715 | − | 0.244239i | \(-0.921462\pi\) |
0.777536 | − | 0.628838i | \(-0.216469\pi\) | |||||||
\(212\) | 0.0408851 | + | 0.0883717i | 0.00280800 | + | 0.00606939i | ||||
\(213\) | 9.22899 | + | 14.8113i | 0.632360 | + | 1.01485i | ||||
\(214\) | 0.403531 | + | 0.0218788i | 0.0275848 | + | 0.00149560i | ||||
\(215\) | 13.5913 | + | 16.0009i | 0.926920 | + | 1.09125i | ||||
\(216\) | −11.2293 | + | 5.84701i | −0.764054 | + | 0.397839i | ||||
\(217\) | −3.12776 | + | 0.512771i | −0.212326 | + | 0.0348092i | ||||
\(218\) | 25.8893 | + | 7.18812i | 1.75344 | + | 0.486841i | ||||
\(219\) | 1.20627 | + | 0.0465664i | 0.0815120 | + | 0.00314666i | ||||
\(220\) | −0.0160243 | + | 0.0108647i | −0.00108036 | + | 0.000732499i | ||||
\(221\) | 0.632498 | + | 1.19302i | 0.0425464 | + | 0.0802511i | ||||
\(222\) | 9.87711 | − | 22.2524i | 0.662908 | − | 1.49348i | ||||
\(223\) | −16.3420 | − | 15.4800i | −1.09434 | − | 1.03662i | −0.999153 | − | 0.0411587i | \(-0.986895\pi\) |
−0.0951914 | − | 0.995459i | \(-0.530346\pi\) | |||||||
\(224\) | 5.70415 | + | 0.620364i | 0.381125 | + | 0.0414498i | ||||
\(225\) | −0.110150 | + | 4.78752i | −0.00734335 | + | 0.319168i | ||||
\(226\) | −10.3981 | + | 7.90444i | −0.691672 | + | 0.525796i | ||||
\(227\) | −5.86751 | + | 5.55801i | −0.389441 | + | 0.368898i | −0.857223 | − | 0.514946i | \(-0.827812\pi\) |
0.467782 | + | 0.883844i | \(0.345053\pi\) | |||||||
\(228\) | 1.89690 | − | 0.672225i | 0.125625 | − | 0.0445192i | ||||
\(229\) | −1.00028 | − | 2.96873i | −0.0661006 | − | 0.196179i | 0.909513 | − | 0.415676i | \(-0.136455\pi\) |
−0.975613 | + | 0.219497i | \(0.929558\pi\) | |||||||
\(230\) | 21.6216 | − | 28.4427i | 1.42569 | − | 1.87546i | ||||
\(231\) | −0.0267245 | − | 0.0641483i | −0.00175834 | − | 0.00422065i | ||||
\(232\) | 1.16099 | + | 0.615516i | 0.0762224 | + | 0.0404106i | ||||
\(233\) | 2.72683 | + | 6.84383i | 0.178641 | + | 0.448354i | 0.990843 | − | 0.135022i | \(-0.0431106\pi\) |
−0.812202 | + | 0.583376i | \(0.801731\pi\) | |||||||
\(234\) | 4.49649 | + | 2.20725i | 0.293945 | + | 0.144292i | ||||
\(235\) | 31.7395i | 2.07045i | ||||||||
\(236\) | −2.65933 | + | 2.08947i | −0.173107 | + | 0.136013i | ||||
\(237\) | 7.21495 | + | 24.4986i | 0.468661 | + | 1.59135i | ||||
\(238\) | −2.38441 | − | 3.96293i | −0.154559 | − | 0.256878i | ||||
\(239\) | 17.1760 | − | 6.84356i | 1.11103 | − | 0.442673i | 0.258844 | − | 0.965919i | \(-0.416658\pi\) |
0.852182 | + | 0.523246i | \(0.175279\pi\) | |||||||
\(240\) | 4.16409 | − | 20.4287i | 0.268791 | − | 1.31866i | ||||
\(241\) | 18.9024 | − | 2.05576i | 1.21761 | − | 0.132423i | 0.523333 | − | 0.852128i | \(-0.324688\pi\) |
0.694280 | + | 0.719705i | \(0.255723\pi\) | |||||||
\(242\) | 13.6794 | + | 10.3988i | 0.879344 | + | 0.668460i | ||||
\(243\) | 15.3189 | − | 2.88636i | 0.982708 | − | 0.185160i | ||||
\(244\) | 5.40197 | − | 0.292886i | 0.345826 | − | 0.0187501i | ||||
\(245\) | −2.66361 | − | 2.81194i | −0.170172 | − | 0.179648i | ||||
\(246\) | −10.6255 | + | 14.4392i | −0.677460 | + | 0.920610i | ||||
\(247\) | 2.33455 | + | 1.58286i | 0.148544 | + | 0.100715i | ||||
\(248\) | 0.356284 | − | 3.27597i | 0.0226240 | − | 0.208025i | ||||
\(249\) | 3.34651 | − | 6.55705i | 0.212076 | − | 0.415536i | ||||
\(250\) | 10.4082 | + | 8.84077i | 0.658270 | + | 0.559139i | ||||
\(251\) | 8.33066 | − | 4.41664i | 0.525827 | − | 0.278776i | −0.184275 | − | 0.982875i | \(-0.558994\pi\) |
0.710102 | + | 0.704099i | \(0.248649\pi\) | |||||||
\(252\) | −2.84853 | − | 1.21160i | −0.179441 | − | 0.0763239i | ||||
\(253\) | 0.144478 | + | 0.0486803i | 0.00908324 | + | 0.00306050i | ||||
\(254\) | −5.76585 | + | 20.7667i | −0.361781 | + | 1.30302i | ||||
\(255\) | −5.06316 | + | 2.43894i | −0.317067 | + | 0.152733i | ||||
\(256\) | −3.73566 | + | 9.37579i | −0.233479 | + | 0.585987i | ||||
\(257\) | 18.0865 | − | 15.3628i | 1.12820 | − | 0.958306i | 0.128761 | − | 0.991676i | \(-0.458900\pi\) |
0.999443 | + | 0.0333700i | \(0.0106240\pi\) | |||||||
\(258\) | 5.09051 | + | 21.5235i | 0.316921 | + | 1.33999i | ||||
\(259\) | −20.3180 | + | 5.64127i | −1.26250 | + | 0.350532i | ||||
\(260\) | −1.09696 | + | 0.507506i | −0.0680304 | + | 0.0314742i | ||||
\(261\) | −1.14874 | − | 1.13941i | −0.0711052 | − | 0.0705275i | ||||
\(262\) | 32.4322 | + | 7.13887i | 2.00367 | + | 0.441041i | ||||
\(263\) | −8.65725 | + | 18.7123i | −0.533829 | + | 1.15385i | 0.433692 | + | 0.901061i | \(0.357211\pi\) |
−0.967521 | + | 0.252791i | \(0.918652\pi\) | |||||||
\(264\) | 0.0716961 | − | 0.00892973i | 0.00441259 | − | 0.000549587i | ||||
\(265\) | −0.486677 | − | 0.292824i | −0.0298963 | − | 0.0179880i | ||||
\(266\) | −8.27784 | − | 4.98061i | −0.507547 | − | 0.305381i | ||||
\(267\) | 8.31914 | − | 1.03615i | 0.509123 | − | 0.0634111i | ||||
\(268\) | −1.59379 | + | 3.44491i | −0.0973559 | + | 0.210431i | ||||
\(269\) | −7.60235 | − | 1.67340i | −0.463523 | − | 0.102029i | −0.0229320 | − | 0.999737i | \(-0.507300\pi\) |
−0.440591 | + | 0.897708i | \(0.645231\pi\) | |||||||
\(270\) | −9.90156 | + | 18.3460i | −0.602590 | + | 1.11650i | ||||
\(271\) | 9.26341 | − | 4.28571i | 0.562712 | − | 0.260338i | −0.117847 | − | 0.993032i | \(-0.537599\pi\) |
0.680559 | + | 0.732694i | \(0.261737\pi\) | |||||||
\(272\) | 5.70517 | − | 1.58403i | 0.345927 | − | 0.0960461i | ||||
\(273\) | −0.998537 | − | 4.22197i | −0.0604342 | − | 0.255525i | ||||
\(274\) | −10.3815 | + | 8.81809i | −0.627167 | + | 0.532720i | ||||
\(275\) | 0.0101154 | − | 0.0253877i | 0.000609981 | − | 0.00153094i | ||||
\(276\) | 6.11833 | − | 2.94722i | 0.368280 | − | 0.177402i | ||||
\(277\) | 5.09436 | − | 18.3482i | 0.306090 | − | 1.10244i | −0.637263 | − | 0.770647i | \(-0.719933\pi\) |
0.943353 | − | 0.331791i | \(-0.107653\pi\) | |||||||
\(278\) | −1.04327 | − | 0.351518i | −0.0625711 | − | 0.0210827i | ||||
\(279\) | −1.58812 | + | 3.73373i | −0.0950780 | + | 0.223532i | ||||
\(280\) | −12.9565 | + | 6.86909i | −0.774297 | + | 0.410506i | ||||
\(281\) | 4.79573 | + | 4.07353i | 0.286089 | + | 0.243006i | 0.778927 | − | 0.627115i | \(-0.215764\pi\) |
−0.492837 | + | 0.870121i | \(0.664040\pi\) | |||||||
\(282\) | −15.2002 | + | 29.7828i | −0.905158 | + | 1.77354i | ||||
\(283\) | 1.29189 | − | 11.8788i | 0.0767952 | − | 0.706120i | −0.890935 | − | 0.454131i | \(-0.849950\pi\) |
0.967730 | − | 0.251989i | \(-0.0810847\pi\) | |||||||
\(284\) | −3.67183 | − | 2.48956i | −0.217883 | − | 0.147728i | ||||
\(285\) | −6.95773 | + | 9.45496i | −0.412140 | + | 0.560064i | ||||
\(286\) | −0.0196583 | − | 0.0207530i | −0.00116242 | − | 0.00122715i | ||||
\(287\) | 15.5046 | − | 0.840636i | 0.915208 | − | 0.0496212i | ||||
\(288\) | 4.57845 | − | 5.74367i | 0.269788 | − | 0.338449i | ||||
\(289\) | 12.2630 | + | 9.32207i | 0.721351 | + | 0.548357i | ||||
\(290\) | 2.15114 | − | 0.233950i | 0.126319 | − | 0.0137380i | ||||
\(291\) | 2.42216 | − | 11.8829i | 0.141989 | − | 0.696589i | ||||
\(292\) | −0.285074 | + | 0.113584i | −0.0166827 | + | 0.00664700i | ||||
\(293\) | 8.09612 | + | 13.4559i | 0.472980 | + | 0.786099i | 0.997881 | − | 0.0650641i | \(-0.0207252\pi\) |
−0.524901 | + | 0.851163i | \(0.675898\pi\) | |||||||
\(294\) | −1.15275 | − | 3.91420i | −0.0672298 | − | 0.228281i | ||||
\(295\) | 5.99945 | − | 18.7932i | 0.349302 | − | 1.09419i | ||||
\(296\) | − | 21.9234i | − | 1.27427i | ||||||
\(297\) | −0.0876792 | − | 0.0150434i | −0.00508766 | − | 0.000872908i | ||||
\(298\) | −4.16349 | − | 10.4496i | −0.241185 | − | 0.605328i | ||||
\(299\) | 8.40931 | + | 4.45833i | 0.486323 | + | 0.257832i | ||||
\(300\) | −0.468149 | − | 1.12372i | −0.0270286 | − | 0.0648782i | ||||
\(301\) | 11.5929 | − | 15.2502i | 0.668203 | − | 0.879006i | ||||
\(302\) | −7.08577 | − | 21.0298i | −0.407740 | − | 1.21013i | ||||
\(303\) | 11.6664 | − | 4.13437i | 0.670219 | − | 0.237513i | ||||
\(304\) | 8.97903 | − | 8.50539i | 0.514982 | − | 0.487817i | ||||
\(305\) | −25.1221 | + | 19.0973i | −1.43849 | + | 1.09351i | ||||
\(306\) | −5.91905 | − | 0.136184i | −0.338369 | − | 0.00778513i | ||||
\(307\) | −10.9542 | − | 1.19134i | −0.625187 | − | 0.0679932i | −0.209958 | − | 0.977710i | \(-0.567333\pi\) |
−0.415229 | + | 0.909717i | \(0.636298\pi\) | |||||||
\(308\) | 0.0128250 | + | 0.0121485i | 0.000730774 | + | 0.000692226i | ||||
\(309\) | 13.4060 | − | 30.2027i | 0.762641 | − | 1.71817i | ||||
\(310\) | −2.54171 | − | 4.79417i | −0.144359 | − | 0.272291i | ||||
\(311\) | −18.4619 | + | 12.5175i | −1.04688 | + | 0.709801i | −0.958153 | − | 0.286255i | \(-0.907589\pi\) |
−0.0887245 | + | 0.996056i | \(0.528279\pi\) | |||||||
\(312\) | 4.50724 | + | 0.173996i | 0.255172 | + | 0.00985060i | ||||
\(313\) | 6.65142 | + | 1.84676i | 0.375960 | + | 0.104385i | 0.450368 | − | 0.892843i | \(-0.351293\pi\) |
−0.0744076 | + | 0.997228i | \(0.523707\pi\) | |||||||
\(314\) | −29.2888 | + | 4.80165i | −1.65286 | + | 0.270973i | ||||
\(315\) | 17.7189 | − | 3.47496i | 0.998348 | − | 0.195792i | ||||
\(316\) | −4.20293 | − | 4.94807i | −0.236433 | − | 0.278351i | ||||
\(317\) | 21.6822 | + | 1.17557i | 1.21779 | + | 0.0660267i | 0.651804 | − | 0.758387i | \(-0.274012\pi\) |
0.565987 | + | 0.824414i | \(0.308495\pi\) | |||||||
\(318\) | −0.316440 | − | 0.507844i | −0.0177451 | − | 0.0284785i | ||||
\(319\) | 0.00387704 | + | 0.00838009i | 0.000217073 | + | 0.000469195i | ||||
\(320\) | −3.06351 | − | 13.9177i | −0.171256 | − | 0.778022i | ||||
\(321\) | −0.446988 | + | 0.0312264i | −0.0249485 | + | 0.00174289i | ||||
\(322\) | −29.5872 | − | 13.6885i | −1.64883 | − | 0.762830i | ||||
\(323\) | −3.28995 | − | 0.539360i | −0.183058 | − | 0.0300108i | ||||
\(324\) | −3.26162 | + | 2.25049i | −0.181201 | + | 0.125027i | ||||
\(325\) | 0.879608 | − | 1.46192i | 0.0487919 | − | 0.0810927i | ||||
\(326\) | 2.72872 | − | 16.6445i | 0.151130 | − | 0.921852i | ||||
\(327\) | −29.4700 | − | 4.36102i | −1.62970 | − | 0.241165i | ||||
\(328\) | −3.47039 | + | 15.7661i | −0.191620 | + | 0.870538i | ||||
\(329\) | 28.2839 | − | 6.22575i | 1.55934 | − | 0.343237i | ||||
\(330\) | 0.0894652 | − | 0.0784244i | 0.00492490 | − | 0.00431712i | ||||
\(331\) | 4.83508 | + | 17.4144i | 0.265760 | + | 0.957181i | 0.969169 | + | 0.246396i | \(0.0792464\pi\) |
−0.703409 | + | 0.710785i | \(0.748340\pi\) | |||||||
\(332\) | −0.101314 | + | 1.86864i | −0.00556035 | + | 0.102555i | ||||
\(333\) | −7.81801 | + | 25.8370i | −0.428424 | + | 1.41586i | ||||
\(334\) | 5.88599 | + | 2.34519i | 0.322067 | + | 0.128323i | ||||
\(335\) | −3.58201 | − | 21.8493i | −0.195706 | − | 1.19376i | ||||
\(336\) | −19.0213 | + | 0.296392i | −1.03770 | + | 0.0161695i | ||||
\(337\) | 3.56981 | − | 10.5948i | 0.194460 | − | 0.577136i | −0.805419 | − | 0.592706i | \(-0.798060\pi\) |
0.999879 | + | 0.0155696i | \(0.00495615\pi\) | |||||||
\(338\) | 10.3950 | + | 15.3315i | 0.565415 | + | 0.833925i | ||||
\(339\) | 10.3575 | − | 10.1219i | 0.562540 | − | 0.549746i | ||||
\(340\) | 0.924876 | − | 1.08885i | 0.0501585 | − | 0.0590511i | ||||
\(341\) | 0.0159237 | − | 0.0168105i | 0.000862317 | − | 0.000910337i | ||||
\(342\) | −11.0568 | + | 5.53999i | −0.597885 | + | 0.299568i | ||||
\(343\) | −11.1893 | + | 16.5029i | −0.604163 | + | 0.891074i | ||||
\(344\) | 12.0529 | + | 15.8553i | 0.649850 | + | 0.854863i | ||||
\(345\) | −19.8917 | + | 34.2575i | −1.07093 | + | 1.84436i | ||||
\(346\) | −0.791360 | − | 14.5958i | −0.0425438 | − | 0.784674i | ||||
\(347\) | −20.2103 | + | 6.80964i | −1.08494 | + | 0.365560i | −0.804283 | − | 0.594246i | \(-0.797450\pi\) |
−0.280662 | + | 0.959807i | \(0.590554\pi\) | |||||||
\(348\) | 0.384414 | + | 0.146266i | 0.0206068 | + | 0.00784071i | ||||
\(349\) | −0.515645 | − | 4.74127i | −0.0276018 | − | 0.253795i | −0.999807 | − | 0.0196627i | \(-0.993741\pi\) |
0.972205 | − | 0.234132i | \(-0.0752247\pi\) | |||||||
\(350\) | −2.73724 | + | 5.16298i | −0.146312 | + | 0.275973i | ||||
\(351\) | −5.24980 | − | 1.81236i | −0.280213 | − | 0.0967369i | ||||
\(352\) | −0.0359174 | + | 0.0216108i | −0.00191441 | + | 0.00115186i | ||||
\(353\) | −7.92947 | −0.422043 | −0.211021 | − | 0.977481i | \(-0.567679\pi\) | ||||
−0.211021 | + | 0.977481i | \(0.567679\pi\) | |||||||
\(354\) | 14.6298 | − | 14.7615i | 0.777564 | − | 0.784566i | ||||
\(355\) | 25.8772 | 1.37342 | ||||||||
\(356\) | −1.82606 | + | 1.09871i | −0.0967812 | + | 0.0582313i | ||||
\(357\) | 3.16655 | + | 4.03351i | 0.167592 | + | 0.213476i | ||||
\(358\) | −11.7493 | + | 22.1615i | −0.620968 | + | 1.17127i | ||||
\(359\) | 1.11870 | + | 10.2863i | 0.0590429 | + | 0.542891i | 0.985883 | + | 0.167435i | \(0.0535483\pi\) |
−0.926840 | + | 0.375456i | \(0.877486\pi\) | |||||||
\(360\) | −1.44726 | + | 18.7171i | −0.0762771 | + | 0.986478i | ||||
\(361\) | 11.4061 | − | 3.84316i | 0.600320 | − | 0.202271i | ||||
\(362\) | −0.987669 | − | 18.2165i | −0.0519107 | − | 0.957437i | ||||
\(363\) | −16.4759 | − | 9.56682i | −0.864763 | − | 0.502128i | ||||
\(364\) | 0.667422 | + | 0.877979i | 0.0349824 | + | 0.0460186i | ||||
\(365\) | 1.00453 | − | 1.48157i | 0.0525795 | − | 0.0775489i | ||||
\(366\) | −32.7191 | + | 5.88891i | −1.71026 | + | 0.307818i | ||||
\(367\) | −3.54410 | + | 3.74146i | −0.185001 | + | 0.195303i | −0.811898 | − | 0.583799i | \(-0.801566\pi\) |
0.626898 | + | 0.779101i | \(0.284324\pi\) | |||||||
\(368\) | 27.0191 | − | 31.8093i | 1.40847 | − | 1.65818i | ||||
\(369\) | 9.71218 | − | 17.3430i | 0.505596 | − | 0.902841i | ||||
\(370\) | −20.2592 | − | 29.8801i | −1.05323 | − | 1.55339i | ||||
\(371\) | −0.165480 | + | 0.491128i | −0.00859132 | + | 0.0254981i | ||||
\(372\) | −0.0160698 | − | 1.03130i | −0.000833183 | − | 0.0534705i | ||||
\(373\) | −0.223391 | − | 1.36263i | −0.0115668 | − | 0.0705541i | 0.980412 | − | 0.196956i | \(-0.0631055\pi\) |
−0.991979 | + | 0.126402i | \(0.959657\pi\) | |||||||
\(374\) | 0.0313881 | + | 0.0125062i | 0.00162304 | + | 0.000646678i | ||||
\(375\) | −12.6632 | − | 8.30086i | −0.653926 | − | 0.428655i | ||||
\(376\) | −1.63013 | + | 30.0660i | −0.0840677 | + | 1.55054i | ||||
\(377\) | 0.154217 | + | 0.555439i | 0.00794257 | + | 0.0286066i | ||||
\(378\) | 18.2908 | + | 5.22495i | 0.940776 | + | 0.268742i | ||||
\(379\) | 22.0426 | − | 4.85194i | 1.13225 | − | 0.249228i | 0.390959 | − | 0.920408i | \(-0.372144\pi\) |
0.741294 | + | 0.671181i | \(0.234213\pi\) | |||||||
\(380\) | 0.641505 | − | 2.91439i | 0.0329085 | − | 0.149505i | ||||
\(381\) | 3.49813 | − | 23.6390i | 0.179215 | − | 1.21106i | ||||
\(382\) | −1.40183 | + | 8.55081i | −0.0717241 | + | 0.437498i | ||||
\(383\) | −4.94380 | + | 8.21666i | −0.252616 | + | 0.419852i | −0.957052 | − | 0.289916i | \(-0.906373\pi\) |
0.704436 | + | 0.709768i | \(0.251200\pi\) | |||||||
\(384\) | 5.93204 | − | 22.7335i | 0.302718 | − | 1.16012i | ||||
\(385\) | −0.101687 | − | 0.0166708i | −0.00518247 | − | 0.000849622i | ||||
\(386\) | −7.03291 | − | 3.25377i | −0.357966 | − | 0.165613i | ||||
\(387\) | −8.55042 | − | 22.9839i | −0.434642 | − | 1.16834i | ||||
\(388\) | 0.662717 | + | 3.01075i | 0.0336444 | + | 0.152848i | ||||
\(389\) | −10.8374 | − | 23.4246i | −0.549476 | − | 1.18767i | −0.961070 | − | 0.276306i | \(-0.910890\pi\) |
0.411593 | − | 0.911368i | \(-0.364972\pi\) | |||||||
\(390\) | 6.30386 | − | 3.92796i | 0.319208 | − | 0.198900i | ||||
\(391\) | −11.2337 | − | 0.609075i | −0.568114 | − | 0.0308022i | ||||
\(392\) | −2.37875 | − | 2.80048i | −0.120145 | − | 0.141446i | ||||
\(393\) | −36.6622 | − | 3.41021i | −1.84937 | − | 0.172022i | ||||
\(394\) | −16.9676 | + | 2.78170i | −0.854817 | + | 0.140140i | ||||
\(395\) | 36.4892 | + | 10.1312i | 1.83597 | + | 0.509755i | ||||
\(396\) | 0.0219234 | − | 0.00554716i | 0.00110169 | − | 0.000278755i | ||||
\(397\) | −12.1861 | + | 8.26240i | −0.611604 | + | 0.414678i | −0.827282 | − | 0.561787i | \(-0.810114\pi\) |
0.215678 | + | 0.976465i | \(0.430804\pi\) | |||||||
\(398\) | 1.89376 | + | 3.57201i | 0.0949256 | + | 0.179049i | ||||
\(399\) | 9.79034 | + | 4.34561i | 0.490130 | + | 0.217553i | ||||
\(400\) | −5.43136 | − | 5.14486i | −0.271568 | − | 0.257243i | ||||
\(401\) | 16.7871 | + | 1.82571i | 0.838310 | + | 0.0911717i | 0.517194 | − | 0.855868i | \(-0.326977\pi\) |
0.321116 | + | 0.947040i | \(0.395942\pi\) | |||||||
\(402\) | 7.10256 | − | 22.2178i | 0.354243 | − | 1.10812i | ||||
\(403\) | 1.15081 | − | 0.874827i | 0.0573262 | − | 0.0435782i | ||||
\(404\) | −2.28427 | + | 2.16378i | −0.113647 | + | 0.107652i | ||||
\(405\) | 8.38024 | − | 21.5423i | 0.416417 | − | 1.07044i | ||||
\(406\) | −0.630429 | − | 1.87105i | −0.0312877 | − | 0.0928585i | ||||
\(407\) | 0.0932267 | − | 0.122638i | 0.00462108 | − | 0.00607892i | ||||
\(408\) | −4.92147 | + | 2.05031i | −0.243649 | + | 0.101505i | ||||
\(409\) | 3.05299 | + | 1.61859i | 0.150961 | + | 0.0800343i | 0.542176 | − | 0.840265i | \(-0.317600\pi\) |
−0.391216 | + | 0.920299i | \(0.627945\pi\) | |||||||
\(410\) | 9.83944 | + | 24.6951i | 0.485935 | + | 1.21961i | ||||
\(411\) | 10.2139 | − | 11.1249i | 0.503816 | − | 0.548749i | ||||
\(412\) | 8.40007i | 0.413842i | ||||||||
\(413\) | −17.9240 | − | 1.65994i | −0.881980 | − | 0.0816804i | ||||
\(414\) | −35.0715 | + | 22.6193i | −1.72367 | + | 1.11168i | ||||
\(415\) | −5.62779 | − | 9.35346i | −0.276257 | − | 0.459143i | ||||
\(416\) | −2.43107 | + | 0.968628i | −0.119193 | + | 0.0474909i | ||||
\(417\) | 1.19604 | + | 0.243796i | 0.0585704 | + | 0.0119387i | ||||
\(418\) | 0.0701630 | − | 0.00763068i | 0.00343178 | − | 0.000373229i | ||||
\(419\) | 8.40496 | + | 6.38929i | 0.410609 | + | 0.312137i | 0.790008 | − | 0.613096i | \(-0.210076\pi\) |
−0.379399 | + | 0.925233i | \(0.623869\pi\) | |||||||
\(420\) | −3.75855 | + | 2.63477i | −0.183399 | + | 0.128563i | ||||
\(421\) | 0.170134 | − | 0.00922441i | 0.00829183 | − | 0.000449570i | −0.0499925 | − | 0.998750i | \(-0.515920\pi\) |
0.0582844 | + | 0.998300i | \(0.481437\pi\) | |||||||
\(422\) | −13.9505 | − | 14.7273i | −0.679097 | − | 0.716914i | ||||
\(423\) | 12.6428 | − | 34.8519i | 0.614716 | − | 1.69456i | ||||
\(424\) | −0.445978 | − | 0.302381i | −0.0216586 | − | 0.0146849i | ||||
\(425\) | −0.218037 | + | 2.00482i | −0.0105764 | + | 0.0972479i | ||||
\(426\) | 24.2819 | + | 12.3927i | 1.17646 | + | 0.600429i | ||||
\(427\) | 21.9458 | + | 18.6410i | 1.06203 | + | 0.902100i | ||||
\(428\) | 0.100636 | − | 0.0533537i | 0.00486441 | − | 0.00257895i | ||||
\(429\) | 0.0244732 | + | 0.0201398i | 0.00118158 | + | 0.000972360i | ||||
\(430\) | 31.0791 | + | 10.4718i | 1.49877 | + | 0.504994i | ||||
\(431\) | −5.65260 | + | 20.3588i | −0.272276 | + | 0.980651i | 0.693325 | + | 0.720625i | \(0.256145\pi\) |
−0.965602 | + | 0.260026i | \(0.916269\pi\) | |||||||
\(432\) | −12.7098 | + | 20.7733i | −0.611502 | + | 0.999454i | ||||
\(433\) | −2.49600 | + | 6.26448i | −0.119950 | + | 0.301052i | −0.976675 | − | 0.214721i | \(-0.931116\pi\) |
0.856725 | + | 0.515773i | \(0.172495\pi\) | |||||||
\(434\) | −3.77365 | + | 3.20537i | −0.181141 | + | 0.153863i | ||||
\(435\) | −2.33476 | + | 0.552194i | −0.111943 | + | 0.0264757i | ||||
\(436\) | 7.29702 | − | 2.02601i | 0.349464 | − | 0.0970281i | ||||
\(437\) | −21.3277 | + | 9.86726i | −1.02024 | + | 0.472015i | ||||
\(438\) | 1.65213 | − | 0.909161i | 0.0789420 | − | 0.0434414i | ||||
\(439\) | −38.8850 | − | 8.55924i | −1.85588 | − | 0.408510i | −0.860918 | − | 0.508744i | \(-0.830110\pi\) |
−0.994964 | + | 0.100234i | \(0.968041\pi\) | |||||||
\(440\) | 0.0449843 | − | 0.0972320i | 0.00214454 | − | 0.00463536i | ||||
\(441\) | 1.80472 | + | 4.14868i | 0.0859392 | + | 0.197556i | ||||
\(442\) | 1.80744 | + | 1.08750i | 0.0859713 | + | 0.0517272i | ||||
\(443\) | 4.28896 | + | 2.58058i | 0.203775 | + | 0.122607i | 0.613783 | − | 0.789474i | \(-0.289647\pi\) |
−0.410009 | + | 0.912082i | \(0.634474\pi\) | |||||||
\(444\) | −0.848112 | − | 6.80942i | −0.0402496 | − | 0.323161i | ||||
\(445\) | 5.21968 | − | 11.2822i | 0.247437 | − | 0.534825i | ||||
\(446\) | −34.3415 | − | 7.55914i | −1.62612 | − | 0.357936i | ||||
\(447\) | 6.01292 | + | 10.9267i | 0.284402 | + | 0.516817i | ||||
\(448\) | −11.8015 | + | 5.45996i | −0.557569 | + | 0.257959i | ||||
\(449\) | −13.3555 | + | 3.70814i | −0.630286 | + | 0.174998i | −0.567958 | − | 0.823058i | \(-0.692266\pi\) |
−0.0623283 | + | 0.998056i | \(0.519853\pi\) | |||||||
\(450\) | 3.70829 | + | 6.49698i | 0.174810 | + | 0.306270i | ||||
\(451\) | −0.0864566 | + | 0.0734369i | −0.00407108 | + | 0.00345801i | ||||
\(452\) | −1.36264 | + | 3.41996i | −0.0640931 | + | 0.160861i | ||||
\(453\) | 10.6781 | + | 22.1673i | 0.501700 | + | 1.04151i | ||||
\(454\) | −3.37763 | + | 12.1651i | −0.158520 | + | 0.570937i | ||||
\(455\) | −6.09637 | − | 2.05411i | −0.285802 | − | 0.0962980i | ||||
\(456\) | −7.07650 | + | 8.59911i | −0.331387 | + | 0.402690i | ||||
\(457\) | −0.336788 | + | 0.178554i | −0.0157543 | + | 0.00835238i | −0.476267 | − | 0.879301i | \(-0.658010\pi\) |
0.460513 | + | 0.887653i | \(0.347666\pi\) | |||||||
\(458\) | −3.72984 | − | 3.16816i | −0.174284 | − | 0.148038i | ||||
\(459\) | 6.53117 | − | 0.661293i | 0.304849 | − | 0.0308665i | ||||
\(460\) | 1.08877 | − | 10.0111i | 0.0507641 | − | 0.466768i | ||||
\(461\) | −23.5906 | − | 15.9948i | −1.09872 | − | 0.744952i | −0.129608 | − | 0.991565i | \(-0.541372\pi\) |
−0.969114 | + | 0.246613i | \(0.920682\pi\) | |||||||
\(462\) | −0.0874348 | − | 0.0643417i | −0.00406784 | − | 0.00299345i | ||||
\(463\) | 24.6516 | + | 26.0244i | 1.14566 | + | 1.20946i | 0.974542 | + | 0.224204i | \(0.0719783\pi\) |
0.171115 | + | 0.985251i | \(0.445263\pi\) | |||||||
\(464\) | 2.52397 | − | 0.136846i | 0.117172 | − | 0.00635290i | ||||
\(465\) | 3.45353 | + | 4.92654i | 0.160154 | + | 0.228463i | ||||
\(466\) | 9.16178 | + | 6.96460i | 0.424411 | + | 0.322629i | ||||
\(467\) | −9.32083 | + | 1.01370i | −0.431317 | + | 0.0469085i | −0.321203 | − | 0.947010i | \(-0.604087\pi\) |
−0.110114 | + | 0.993919i | \(0.535122\pi\) | |||||||
\(468\) | 1.40668 | − | 0.120320i | 0.0650239 | − | 0.00556181i | ||||
\(469\) | −18.7679 | + | 7.47781i | −0.866620 | + | 0.345293i | ||||
\(470\) | 25.5620 | + | 42.4844i | 1.17909 | + | 1.95966i | ||||
\(471\) | 31.5674 | − | 9.29674i | 1.45455 | − | 0.428371i | ||||
\(472\) | 6.64836 | − | 17.4943i | 0.306015 | − | 0.805239i | ||||
\(473\) | 0.139947i | 0.00643477i | ||||||||
\(474\) | 29.3879 | + | 26.9815i | 1.34983 | + | 1.23930i | ||||
\(475\) | 1.55917 | + | 3.91322i | 0.0715396 | + | 0.179551i | ||||
\(476\) | −1.15172 | − | 0.610602i | −0.0527889 | − | 0.0279869i | ||||
\(477\) | 0.417760 | + | 0.515398i | 0.0191279 | + | 0.0235984i | ||||
\(478\) | 17.4791 | − | 22.9934i | 0.799478 | − | 1.05169i | ||||
\(479\) | −4.05337 | − | 12.0300i | −0.185203 | − | 0.549663i | 0.814324 | − | 0.580411i | \(-0.197108\pi\) |
−0.999527 | + | 0.0307471i | \(0.990211\pi\) | |||||||
\(480\) | −3.63809 | − | 10.2660i | −0.166056 | − | 0.468578i | ||||
\(481\) | 6.98216 | − | 6.61385i | 0.318359 | − | 0.301566i | ||||
\(482\) | 23.6459 | − | 17.9752i | 1.07704 | − | 0.818747i | ||||
\(483\) | 34.4295 | + | 11.0064i | 1.56660 | + | 0.500808i | ||||
\(484\) | 4.81476 | + | 0.523637i | 0.218853 | + | 0.0238017i | ||||
\(485\) | −13.0552 | − | 12.3666i | −0.592808 | − | 0.561538i | ||||
\(486\) | 18.1803 | − | 16.2009i | 0.824676 | − | 0.734887i | ||||
\(487\) | −6.72209 | − | 12.6792i | −0.304607 | − | 0.574550i | 0.683200 | − | 0.730231i | \(-0.260588\pi\) |
−0.987807 | + | 0.155681i | \(0.950243\pi\) | |||||||
\(488\) | −24.7784 | + | 16.8002i | −1.12166 | + | 0.760507i | ||||
\(489\) | −0.721396 | + | 18.6872i | −0.0326227 | + | 0.845065i | ||||
\(490\) | −5.82998 | − | 1.61869i | −0.263372 | − | 0.0731248i | ||||
\(491\) | 27.8835 | − | 4.57128i | 1.25837 | − | 0.206299i | 0.504549 | − | 0.863383i | \(-0.331659\pi\) |
0.753817 | + | 0.657084i | \(0.228210\pi\) | |||||||
\(492\) | −0.467988 | + | 5.03122i | −0.0210985 | + | 0.226825i | ||||
\(493\) | −0.441102 | − | 0.519305i | −0.0198662 | − | 0.0233883i | ||||
\(494\) | 4.39967 | + | 0.238543i | 0.197950 | + | 0.0107326i | ||||
\(495\) | −0.0876881 | + | 0.0985476i | −0.00394129 | + | 0.00442938i | ||||
\(496\) | −2.66156 | − | 5.75286i | −0.119507 | − | 0.258311i | ||||
\(497\) | −5.07585 | − | 23.0598i | −0.227683 | − | 1.03437i | ||||
\(498\) | −0.801430 | − | 11.4720i | −0.0359129 | − | 0.514073i | ||||
\(499\) | 25.1597 | + | 11.6401i | 1.12630 | + | 0.521083i | 0.892431 | − | 0.451184i | \(-0.148998\pi\) |
0.233872 | + | 0.972267i | \(0.424860\pi\) | |||||||
\(500\) | 3.79833 | + | 0.622705i | 0.169867 | + | 0.0278482i | ||||
\(501\) | −6.79752 | − | 1.77373i | −0.303691 | − | 0.0792444i | ||||
\(502\) | 7.59386 | − | 12.6211i | 0.338930 | − | 0.563307i | ||||
\(503\) | 0.779626 | − | 4.75551i | 0.0347618 | − | 0.212038i | −0.963734 | − | 0.266864i | \(-0.914012\pi\) |
0.998496 | + | 0.0548269i | \(0.0174607\pi\) | |||||||
\(504\) | 16.9632 | − | 2.38170i | 0.755600 | − | 0.106090i | ||||
\(505\) | 3.94543 | − | 17.9243i | 0.175569 | − | 0.797620i | ||||
\(506\) | 0.232594 | − | 0.0511979i | 0.0103401 | − | 0.00227602i | ||||
\(507\) | −13.5383 | − | 15.4442i | −0.601255 | − | 0.685901i | ||||
\(508\) | 1.62513 | + | 5.85320i | 0.0721036 | + | 0.259694i | ||||
\(509\) | −2.36620 | + | 43.6419i | −0.104880 | + | 1.93439i | 0.195750 | + | 0.980654i | \(0.437286\pi\) |
−0.300630 | + | 0.953741i | \(0.597197\pi\) | |||||||
\(510\) | −4.81296 | + | 7.34233i | −0.213122 | + | 0.325124i | ||||
\(511\) | −1.51731 | − | 0.604550i | −0.0671217 | − | 0.0267437i | ||||
\(512\) | −1.83837 | − | 11.2136i | −0.0812454 | − | 0.495575i | ||||
\(513\) | 11.4062 | − | 7.61065i | 0.503598 | − | 0.336018i | ||||
\(514\) | 11.8367 | − | 35.1300i | 0.522093 | − | 1.54952i | ||||
\(515\) | −27.4975 | − | 40.5557i | −1.21168 | − | 1.78710i | ||||
\(516\) | 4.35701 | + | 4.45841i | 0.191807 | + | 0.196271i | ||||
\(517\) | −0.136971 | + | 0.161255i | −0.00602398 | + | 0.00709198i | ||||
\(518\) | −22.6531 | + | 23.9146i | −0.995320 | + | 1.05075i | ||||
\(519\) | 2.87087 | + | 15.9507i | 0.126017 | + | 0.700160i | ||||
\(520\) | 3.75345 | − | 5.53592i | 0.164600 | − | 0.242766i | ||||
\(521\) | 18.1866 | + | 23.9241i | 0.796771 | + | 1.04813i | 0.997650 | + | 0.0685182i | \(0.0218271\pi\) |
−0.200879 | + | 0.979616i | \(0.564380\pi\) | |||||||
\(522\) | −2.45527 | − | 0.599976i | −0.107464 | − | 0.0262602i | ||||
\(523\) | 0.729564 | + | 13.4560i | 0.0319016 | + | 0.588390i | 0.970162 | + | 0.242459i | \(0.0779541\pi\) |
−0.938260 | + | 0.345931i | \(0.887563\pi\) | |||||||
\(524\) | 8.87004 | − | 2.98867i | 0.387490 | − | 0.130560i | ||||
\(525\) | 2.30416 | − | 6.05574i | 0.100562 | − | 0.264294i | ||||
\(526\) | 3.48232 | + | 32.0194i | 0.151836 | + | 1.39611i | ||||
\(527\) | −0.800349 | + | 1.50962i | −0.0348638 | + | 0.0657600i | ||||
\(528\) | 0.109316 | − | 0.0858194i | 0.00475735 | − | 0.00373481i | ||||
\(529\) | −48.2412 | + | 29.0258i | −2.09744 | + | 1.26199i | ||||
\(530\) | −0.887266 | −0.0385404 | ||||||||
\(531\) | −14.0737 | + | 18.2464i | −0.610748 | + | 0.791825i | ||||
\(532\) | −2.72292 | −0.118053 | ||||||||
\(533\) | −6.06813 | + | 3.65107i | −0.262840 | + | 0.158146i | ||||
\(534\) | 10.3010 | − | 8.08690i | 0.445767 | − | 0.349955i | ||||
\(535\) | −0.311219 | + | 0.587022i | −0.0134552 | + | 0.0253792i | ||||
\(536\) | −2.27098 | − | 20.8813i | −0.0980913 | − | 0.901935i | ||||
\(537\) | 9.89033 | − | 25.9935i | 0.426799 | − | 1.12170i | ||||
\(538\) | −11.5237 | + | 3.88279i | −0.496823 | + | 0.167399i | ||||
\(539\) | −0.00139781 | − | 0.0257810i | −6.02078e−5 | − | 0.00111047i | ||||
\(540\) | 0.274557 | + | 5.86953i | 0.0118150 | + | 0.252584i | ||||
\(541\) | −13.0052 | − | 17.1081i | −0.559137 | − | 0.735533i | 0.426485 | − | 0.904495i | \(-0.359752\pi\) |
−0.985623 | + | 0.168962i | \(0.945959\pi\) | |||||||
\(542\) | 8.94782 | − | 13.1970i | 0.384342 | − | 0.566862i | ||||
\(543\) | 3.58303 | + | 19.9076i | 0.153763 | + | 0.854315i | ||||
\(544\) | 2.12718 | − | 2.24564i | 0.0912022 | − | 0.0962810i | ||||
\(545\) | −28.5981 | + | 33.6682i | −1.22501 | + | 1.44219i | ||||
\(546\) | −4.73682 | − | 4.84706i | −0.202717 | − | 0.207435i | ||||
\(547\) | 10.5316 | + | 15.5329i | 0.450298 | + | 0.664140i | 0.983304 | − | 0.181971i | \(-0.0582478\pi\) |
−0.533006 | + | 0.846112i | \(0.678938\pi\) | |||||||
\(548\) | −1.22585 | + | 3.63820i | −0.0523658 | + | 0.155416i | ||||
\(549\) | 35.1927 | − | 10.9631i | 1.50199 | − | 0.467893i | ||||
\(550\) | −0.00690670 | − | 0.0421290i | −0.000294503 | − | 0.00179639i | ||||
\(551\) | −1.32215 | − | 0.526793i | −0.0563255 | − | 0.0224421i | ||||
\(552\) | −20.6024 | + | 31.4296i | −0.876897 | + | 1.33773i | ||||
\(553\) | 1.87074 | − | 34.5038i | 0.0795519 | − | 1.46725i | ||||
\(554\) | −7.95813 | − | 28.6626i | −0.338108 | − | 1.21776i | ||||
\(555\) | 26.3852 | + | 30.0997i | 1.11999 | + | 1.27766i | ||||
\(556\) | −0.303039 | + | 0.0667039i | −0.0128517 | + | 0.00282888i | ||||
\(557\) | 2.64226 | − | 12.0039i | 0.111956 | − | 0.508623i | −0.886950 | − | 0.461865i | \(-0.847180\pi\) |
0.998906 | − | 0.0467571i | \(-0.0148887\pi\) | |||||||
\(558\) | 0.881282 | + | 6.27675i | 0.0373076 | + | 0.265716i | ||||
\(559\) | −1.41348 | + | 8.62185i | −0.0597839 | + | 0.364665i | ||||
\(560\) | −14.5431 | + | 24.1707i | −0.614556 | + | 1.02140i | ||||
\(561\) | −0.0362490 | − | 0.00945872i | −0.00153043 | − | 0.000399348i | ||||
\(562\) | 9.69995 | + | 1.59023i | 0.409168 | + | 0.0670796i | ||||
\(563\) | −0.523115 | − | 0.242019i | −0.0220467 | − | 0.0101999i | 0.408835 | − | 0.912608i | \(-0.365935\pi\) |
−0.430881 | + | 0.902409i | \(0.641797\pi\) | |||||||
\(564\) | 0.656791 | + | 9.40159i | 0.0276559 | + | 0.395878i | ||||
\(565\) | −4.61633 | − | 20.9722i | −0.194211 | − | 0.882307i | ||||
\(566\) | −7.83757 | − | 16.9406i | −0.329437 | − | 0.712067i | ||||
\(567\) | −20.8407 | − | 3.24230i | −0.875226 | − | 0.136164i | ||||
\(568\) | 24.5128 | + | 1.32905i | 1.02854 | + | 0.0557656i | ||||
\(569\) | 5.42428 | + | 6.38596i | 0.227398 | + | 0.267713i | 0.864014 | − | 0.503467i | \(-0.167942\pi\) |
−0.636617 | + | 0.771180i | \(0.719667\pi\) | |||||||
\(570\) | −1.69843 | + | 18.2594i | −0.0711393 | + | 0.764800i | ||||
\(571\) | 1.85400 | − | 0.303949i | 0.0775877 | − | 0.0127199i | −0.122863 | − | 0.992424i | \(-0.539208\pi\) |
0.200451 | + | 0.979704i | \(0.435759\pi\) | |||||||
\(572\) | −0.00776331 | − | 0.00215547i | −0.000324600 | − | 9.01248e-5i | ||||
\(573\) | 0.370605 | − | 9.60025i | 0.0154823 | − | 0.401056i | ||||
\(574\) | 20.0765 | − | 13.6122i | 0.837975 | − | 0.568161i | ||||
\(575\) | 6.65834 | + | 12.5590i | 0.277672 | + | 0.523745i | ||||
\(576\) | −2.17993 | + | 16.5028i | −0.0908305 | + | 0.687616i | ||||
\(577\) | 11.5419 | + | 10.9331i | 0.480495 | + | 0.455149i | 0.889201 | − | 0.457517i | \(-0.151261\pi\) |
−0.408706 | + | 0.912666i | \(0.634020\pi\) | |||||||
\(578\) | 23.9221 | + | 2.60169i | 0.995030 | + | 0.108216i | ||||
\(579\) | 8.18394 | + | 2.61623i | 0.340113 | + | 0.108727i | ||||
\(580\) | 0.485525 | − | 0.369086i | 0.0201603 | − | 0.0153255i | ||||
\(581\) | −7.23121 | + | 6.84977i | −0.300001 | + | 0.284176i | ||||
\(582\) | −6.32800 | − | 17.8564i | −0.262304 | − | 0.740173i | ||||
\(583\) | −0.00120892 | − | 0.00358796i | −5.00685e−5 | − | 0.000148598i | ||||
\(584\) | 1.02766 | − | 1.35186i | 0.0425249 | − | 0.0559405i | ||||
\(585\) | −6.39763 | + | 5.18565i | −0.264509 | + | 0.214400i | ||||
\(586\) | 21.6739 | + | 11.4908i | 0.895340 | + | 0.474679i | ||||
\(587\) | 3.87852 | + | 9.73435i | 0.160084 | + | 0.401779i | 0.987037 | − | 0.160490i | \(-0.0513076\pi\) |
−0.826954 | + | 0.562270i | \(0.809928\pi\) | |||||||
\(588\) | −0.847179 | − | 0.777809i | −0.0349371 | − | 0.0320763i | ||||
\(589\) | 3.56908i | 0.147061i | ||||||||
\(590\) | −7.10504 | − | 29.9872i | −0.292510 | − | 1.23455i | ||||
\(591\) | 18.2877 | − | 5.38580i | 0.752254 | − | 0.221542i | ||||
\(592\) | −21.7415 | − | 36.1347i | −0.893570 | − | 1.48513i | ||||
\(593\) | 6.25110 | − | 2.49067i | 0.256702 | − | 0.102279i | −0.238237 | − | 0.971207i | \(-0.576570\pi\) |
0.494939 | + | 0.868928i | \(0.335190\pi\) | |||||||
\(594\) | −0.129477 | + | 0.0504781i | −0.00531252 | + | 0.00207114i | ||||
\(595\) | 7.55931 | − | 0.822124i | 0.309901 | − | 0.0337038i | ||||
\(596\) | −2.52397 | − | 1.91867i | −0.103386 | − | 0.0785918i | ||||
\(597\) | −2.57313 | − | 3.67064i | −0.105311 | − | 0.150229i | ||||
\(598\) | 14.8468 | − | 0.804968i | 0.607129 | − | 0.0329176i | ||||
\(599\) | 7.75958 | + | 8.19169i | 0.317048 | + | 0.334703i | 0.864968 | − | 0.501827i | \(-0.167339\pi\) |
−0.547920 | + | 0.836531i | \(0.684580\pi\) | |||||||
\(600\) | 5.42567 | + | 3.99265i | 0.221502 | + | 0.162999i | ||||
\(601\) | −15.9203 | − | 10.7942i | −0.649401 | − | 0.440305i | 0.191501 | − | 0.981492i | \(-0.438665\pi\) |
−0.840902 | + | 0.541187i | \(0.817975\pi\) | |||||||
\(602\) | 3.23545 | − | 29.7495i | 0.131867 | − | 1.21250i | ||||
\(603\) | −4.77001 | + | 25.4187i | −0.194250 | + | 1.03513i | ||||
\(604\) | −4.76715 | − | 4.04926i | −0.193973 | − | 0.164762i | ||||
\(605\) | −24.9599 | + | 13.2329i | −1.01476 | + | 0.537994i | ||||
\(606\) | 12.2862 | − | 14.9298i | 0.499094 | − | 0.606482i | ||||
\(607\) | −40.5048 | − | 13.6476i | −1.64404 | − | 0.553941i | −0.663145 | − | 0.748491i | \(-0.730779\pi\) |
−0.980893 | + | 0.194550i | \(0.937675\pi\) | |||||||
\(608\) | 1.72853 | − | 6.22560i | 0.0701012 | − | 0.252482i | ||||
\(609\) | 0.950041 | + | 1.97225i | 0.0384976 | + | 0.0799196i | ||||
\(610\) | −18.2464 | + | 45.7950i | −0.738775 | + | 1.85418i | ||||
\(611\) | −10.0672 | + | 8.55116i | −0.407275 | + | 0.345943i | ||||
\(612\) | −1.44929 | + | 0.827215i | −0.0585843 | + | 0.0334382i | ||||
\(613\) | −18.7805 | + | 5.21439i | −0.758539 | + | 0.210607i | −0.625201 | − | 0.780463i | \(-0.714983\pi\) |
−0.133337 | + | 0.991071i | \(0.542569\pi\) | |||||||
\(614\) | −15.6220 | + | 7.22751i | −0.630453 | + | 0.291678i | ||||
\(615\) | −14.2101 | − | 25.8228i | −0.573008 | − | 1.04127i | ||||
\(616\) | −0.0954698 | − | 0.0210145i | −0.00384659 | − | 0.000846698i | ||||
\(617\) | 16.3211 | − | 35.2776i | 0.657064 | − | 1.42022i | −0.236655 | − | 0.971594i | \(-0.576051\pi\) |
0.893719 | − | 0.448627i | \(-0.148087\pi\) | |||||||
\(618\) | −6.37996 | − | 51.2242i | −0.256640 | − | 2.06054i | ||||
\(619\) | 9.15162 | + | 5.50635i | 0.367835 | + | 0.221319i | 0.687455 | − | 0.726227i | \(-0.258728\pi\) |
−0.319621 | + | 0.947546i | \(0.603555\pi\) | |||||||
\(620\) | −1.31050 | − | 0.788499i | −0.0526308 | − | 0.0316669i | ||||
\(621\) | 35.4882 | − | 29.6933i | 1.42409 | − | 1.19155i | ||||
\(622\) | −14.6307 | + | 31.6237i | −0.586638 | + | 1.26800i | ||||
\(623\) | −11.0777 | − | 2.43838i | −0.443818 | − | 0.0976916i | ||||
\(624\) | 7.60149 | − | 4.18306i | 0.304303 | − | 0.167456i | ||||
\(625\) | −27.6205 | + | 12.7786i | −1.10482 | + | 0.511144i | ||||
\(626\) | 10.3905 | − | 2.88490i | 0.415287 | − | 0.115304i | ||||
\(627\) | −0.0761520 | + | 0.0180107i | −0.00304122 | + | 0.000719278i | ||||
\(628\) | −6.37579 | + | 5.41564i | −0.254422 | + | 0.216108i | ||||
\(629\) | −4.20759 | + | 10.5602i | −0.167767 | + | 0.421064i | ||||
\(630\) | 20.9188 | − | 18.9216i | 0.833424 | − | 0.753857i | ||||
\(631\) | −5.99479 | + | 21.5913i | −0.238649 | + | 0.859535i | 0.743072 | + | 0.669211i | \(0.233368\pi\) |
−0.981721 | + | 0.190324i | \(0.939046\pi\) | |||||||
\(632\) | 34.0450 | + | 11.4711i | 1.35424 | + | 0.456296i | ||||
\(633\) | 17.3674 | + | 14.2922i | 0.690290 | + | 0.568063i | ||||
\(634\) | 29.9691 | − | 15.8886i | 1.19023 | − | 0.631018i | ||||
\(635\) | −27.0065 | − | 22.9395i | −1.07172 | − | 0.910327i | ||||
\(636\) | −0.150219 | − | 0.0766668i | −0.00595656 | − | 0.00304004i | ||||
\(637\) | 0.174275 | − | 1.60243i | 0.00690503 | − | 0.0634907i | ||||
\(638\) | 0.0119386 | + | 0.00809460i | 0.000472655 | + | 0.000320468i | ||||
\(639\) | −28.4148 | − | 10.3077i | −1.12407 | − | 0.407767i | ||||
\(640\) | −23.9584 | − | 25.2926i | −0.947039 | − | 0.999777i | ||||
\(641\) | 29.7216 | − | 1.61146i | 1.17393 | − | 0.0636487i | 0.543168 | − | 0.839624i | \(-0.317225\pi\) |
0.630763 | + | 0.775975i | \(0.282742\pi\) | |||||||
\(642\) | −0.573161 | + | 0.401789i | −0.0226209 | + | 0.0158573i | ||||
\(643\) | −3.33435 | − | 2.53471i | −0.131494 | − | 0.0999591i | 0.537360 | − | 0.843353i | \(-0.319422\pi\) |
−0.668854 | + | 0.743394i | \(0.733215\pi\) | |||||||
\(644\) | −9.13468 | + | 0.993456i | −0.359957 | + | 0.0391477i | ||||
\(645\) | −35.6302 | − | 7.26271i | −1.40294 | − | 0.285969i | ||||
\(646\) | −4.83810 | + | 1.92768i | −0.190353 | + | 0.0758434i | ||||
\(647\) | 20.1341 | + | 33.4631i | 0.791553 | + | 1.31557i | 0.944887 | + | 0.327397i | \(0.106172\pi\) |
−0.153334 | + | 0.988174i | \(0.549001\pi\) | |||||||
\(648\) | 9.04480 | − | 19.9761i | 0.355313 | − | 0.784734i | ||||
\(649\) | 0.111583 | − | 0.0695900i | 0.00438000 | − | 0.00273165i | ||||
\(650\) | − | 2.66524i | − | 0.104539i | ||||||
\(651\) | 3.71276 | − | 4.04388i | 0.145514 | − | 0.158492i | ||||
\(652\) | −1.75962 | − | 4.41631i | −0.0689120 | − | 0.172956i | ||||
\(653\) | 7.56946 | + | 4.01308i | 0.296216 | + | 0.157044i | 0.609888 | − | 0.792488i | \(-0.291214\pi\) |
−0.313672 | + | 0.949531i | \(0.601559\pi\) | |||||||
\(654\) | −42.9589 | + | 17.8969i | −1.67983 | + | 0.699824i | ||||
\(655\) | −33.0414 | + | 43.4652i | −1.29103 | + | 1.69833i | ||||
\(656\) | 9.91533 | + | 29.4277i | 0.387129 | + | 1.14896i | ||||
\(657\) | −1.69319 | + | 1.22672i | −0.0660578 | + | 0.0478589i | ||||
\(658\) | 32.8449 | − | 31.1124i | 1.28043 | − | 1.21289i | ||||
\(659\) | −31.5099 | + | 23.9532i | −1.22745 | + | 0.933083i | −0.999179 | − | 0.0405142i | \(-0.987100\pi\) |
−0.228271 | + | 0.973598i | \(0.573307\pi\) | |||||||
\(660\) | 0.0102107 | − | 0.0319406i | 0.000397452 | − | 0.00124328i | ||||
\(661\) | 29.5038 | + | 3.20873i | 1.14757 | + | 0.124805i | 0.662076 | − | 0.749437i | \(-0.269676\pi\) |
0.485490 | + | 0.874242i | \(0.338641\pi\) | |||||||
\(662\) | 20.4969 | + | 19.4157i | 0.796637 | + | 0.754614i | ||||
\(663\) | −2.13769 | − | 0.948851i | −0.0830210 | − | 0.0368503i | ||||
\(664\) | −4.85068 | − | 9.14935i | −0.188243 | − | 0.355064i | ||||
\(665\) | 13.1463 | − | 8.91341i | 0.509792 | − | 0.345647i | ||||
\(666\) | 10.3437 | + | 40.8802i | 0.400810 | + | 1.58407i | ||||
\(667\) | −4.62767 | − | 1.28487i | −0.179184 | − | 0.0497502i | ||||
\(668\) | 1.76231 | − | 0.288916i | 0.0681857 | − | 0.0111785i | ||||
\(669\) | 38.8206 | + | 3.61097i | 1.50089 | + | 0.139608i | ||||
\(670\) | −22.3914 | − | 26.3612i | −0.865057 | − | 1.01842i | ||||
\(671\) | −0.210049 | − | 0.0113885i | −0.00810884 | − | 0.000439649i | ||||
\(672\) | −8.43471 | + | 5.25570i | −0.325376 | + | 0.202743i | ||||
\(673\) | −13.3186 | − | 28.7878i | −0.513396 | − | 1.10969i | −0.974919 | − | 0.222559i | \(-0.928559\pi\) |
0.461523 | − | 0.887128i | \(-0.347303\pi\) | |||||||
\(674\) | −3.75443 | − | 17.0566i | −0.144615 | − | 0.656994i | ||||
\(675\) | −4.97042 | − | 6.64021i | −0.191312 | − | 0.255582i | ||||
\(676\) | 4.73834 | + | 2.19219i | 0.182244 | + | 0.0843150i | ||||
\(677\) | −1.73924 | − | 0.285135i | −0.0668446 | − | 0.0109586i | 0.128267 | − | 0.991740i | \(-0.459059\pi\) |
−0.195111 | + | 0.980781i | \(0.562507\pi\) | |||||||
\(678\) | 5.71195 | − | 21.8901i | 0.219366 | − | 0.840684i | ||||
\(679\) | −8.45938 | + | 14.0596i | −0.324641 | + | 0.539558i | ||||
\(680\) | −1.27899 | + | 7.80147i | −0.0490469 | + | 0.299173i | ||||
\(681\) | 2.04920 | − | 13.8477i | 0.0785256 | − | 0.530644i | ||||
\(682\) | 0.00777581 | − | 0.0353259i | 0.000297751 | − | 0.00135270i | ||||
\(683\) | 10.5363 | − | 2.31922i | 0.403161 | − | 0.0887425i | −0.00876074 | − | 0.999962i | \(-0.502789\pi\) |
0.411922 | + | 0.911219i | \(0.364858\pi\) | |||||||
\(684\) | −1.86531 | + | 2.94464i | −0.0713217 | + | 0.112591i | ||||
\(685\) | −5.99112 | − | 21.5781i | −0.228909 | − | 0.824456i | ||||
\(686\) | −1.68626 | + | 31.1012i | −0.0643817 | + | 1.18745i | ||||
\(687\) | 4.53797 | + | 2.97468i | 0.173134 | + | 0.113491i | ||||
\(688\) | 35.5897 | + | 14.1802i | 1.35684 | + | 0.540616i | ||||
\(689\) | −0.0382406 | − | 0.233257i | −0.00145685 | − | 0.00888639i | ||||
\(690\) | 0.964142 | + | 61.8750i | 0.0367043 | + | 2.35554i | ||||
\(691\) | 7.85135 | − | 23.3020i | 0.298679 | − | 0.886449i | −0.688275 | − | 0.725450i | \(-0.741632\pi\) |
0.986955 | − | 0.160999i | \(-0.0514717\pi\) | |||||||
\(692\) | −2.31205 | − | 3.41002i | −0.0878911 | − | 0.129630i | ||||
\(693\) | 0.105019 | + | 0.0588109i | 0.00398932 | + | 0.00223404i | ||||
\(694\) | −21.5679 | + | 25.3917i | −0.818706 | + | 0.963856i | ||||
\(695\) | 1.24472 | − | 1.31404i | 0.0472151 | − | 0.0498444i | ||||
\(696\) | −2.24002 | + | 0.403167i | −0.0849078 | + | 0.0152820i | ||||
\(697\) | 4.69751 | − | 6.92831i | 0.177931 | − | 0.262428i | ||||
\(698\) | −4.50869 | − | 5.93108i | −0.170656 | − | 0.224495i | ||||
\(699\) | −11.0348 | − | 6.40739i | −0.417374 | − | 0.242350i | ||||
\(700\) | 0.0891709 | + | 1.64466i | 0.00337034 | + | 0.0621624i | ||||
\(701\) | 27.9576 | − | 9.42000i | 1.05594 | − | 0.355789i | 0.262817 | − | 0.964846i | \(-0.415349\pi\) |
0.793126 | + | 0.609057i | \(0.208452\pi\) | |||||||
\(702\) | −8.48666 | + | 1.80211i | −0.320308 | + | 0.0680164i | ||||
\(703\) | 2.56727 | + | 23.6057i | 0.0968266 | + | 0.890306i | ||||
\(704\) | 0.0444971 | − | 0.0839304i | 0.00167705 | − | 0.00316325i | ||||
\(705\) | −33.9469 | − | 43.2411i | −1.27851 | − | 1.62855i | ||||
\(706\) | −10.6139 | + | 6.38616i | −0.399458 | + | 0.240346i | ||||
\(707\) | −16.7467 | −0.629824 | ||||||||
\(708\) | 1.38821 | − | 5.69092i | 0.0521723 | − | 0.213878i | ||||
\(709\) | −16.8183 | −0.631626 | −0.315813 | − | 0.948821i | \(-0.602277\pi\) | ||||
−0.315813 | + | 0.948821i | \(0.602277\pi\) | |||||||
\(710\) | 34.6375 | − | 20.8407i | 1.29992 | − | 0.782138i | ||||
\(711\) | −36.0319 | − | 25.6595i | −1.35130 | − | 0.962307i | ||||
\(712\) | 5.52393 | − | 10.4192i | 0.207018 | − | 0.390477i | ||||
\(713\) | 1.30218 | + | 11.9733i | 0.0487669 | + | 0.448404i | ||||
\(714\) | 7.48701 | + | 2.84875i | 0.280194 | + | 0.106612i | ||||
\(715\) | 0.0445373 | − | 0.0150064i | 0.00166560 | − | 0.000561206i | ||||
\(716\) | 0.382755 | + | 7.05951i | 0.0143042 | + | 0.263826i | ||||
\(717\) | −16.0807 | + | 27.6941i | −0.600545 | + | 1.03426i | ||||
\(718\) | 9.78171 | + | 12.8676i | 0.365050 | + | 0.480215i | ||||
\(719\) | 18.1346 | − | 26.7465i | 0.676306 | − | 0.997477i | −0.322399 | − | 0.946604i | \(-0.604489\pi\) |
0.998705 | − | 0.0508734i | \(-0.0162005\pi\) | |||||||
\(720\) | 16.1764 | + | 32.2852i | 0.602859 | + | 1.20320i | ||||
\(721\) | −30.7466 | + | 32.4588i | −1.14506 | + | 1.20883i | ||||
\(722\) | 12.1723 | − | 14.3303i | 0.453006 | − | 0.533320i | ||||
\(723\) | −23.5535 | + | 23.0178i | −0.875963 | + | 0.856041i | ||||
\(724\) | −2.88559 | − | 4.25593i | −0.107242 | − | 0.158170i | ||||
\(725\) | −0.274889 | + | 0.815840i | −0.0102091 | + | 0.0302995i | ||||
\(726\) | −29.7585 | + | 0.463699i | −1.10444 | + | 0.0172095i | ||||
\(727\) | −0.0932208 | − | 0.568622i | −0.00345737 | − | 0.0210890i | 0.985042 | − | 0.172317i | \(-0.0551254\pi\) |
−0.988499 | + | 0.151228i | \(0.951677\pi\) | |||||||
\(728\) | −5.66945 | − | 2.25891i | −0.210124 | − | 0.0837210i | ||||
\(729\) | −17.7830 | + | 20.3166i | −0.658629 | + | 0.752467i | ||||
\(730\) | 0.151386 | − | 2.79215i | 0.00560305 | − | 0.103342i | ||||
\(731\) | −2.76276 | − | 9.95055i | −0.102184 | − | 0.368034i | ||||
\(732\) | −7.04626 | + | 6.17669i | −0.260437 | + | 0.228297i | ||||
\(733\) | −17.2058 | + | 3.78728i | −0.635511 | + | 0.139887i | −0.521029 | − | 0.853539i | \(-0.674452\pi\) |
−0.114482 | + | 0.993425i | \(0.536521\pi\) | |||||||
\(734\) | −1.73064 | + | 7.86239i | −0.0638792 | + | 0.290206i | ||||
\(735\) | 6.63634 | + | 0.982055i | 0.244785 | + | 0.0362237i | ||||
\(736\) | 3.52736 | − | 21.5159i | 0.130020 | − | 0.793088i | ||||
\(737\) | 0.0760916 | − | 0.126465i | 0.00280287 | − | 0.00465841i | ||||
\(738\) | −0.967451 | − | 31.0361i | −0.0356124 | − | 1.14246i | ||||
\(739\) | −32.8676 | − | 5.38837i | −1.20905 | − | 0.198214i | −0.476656 | − | 0.879090i | \(-0.658151\pi\) |
−0.732399 | + | 0.680876i | \(0.761599\pi\) | |||||||
\(740\) | −9.23473 | − | 4.27244i | −0.339475 | − | 0.157058i | ||||
\(741\) | −4.87348 | + | 0.340459i | −0.179032 | + | 0.0125071i | ||||
\(742\) | 0.174039 | + | 0.790666i | 0.00638916 | + | 0.0290263i | ||||
\(743\) | −12.8415 | − | 27.7564i | −0.471109 | − | 1.01828i | −0.986865 | − | 0.161549i | \(-0.948351\pi\) |
0.515756 | − | 0.856735i | \(-0.327511\pi\) | |||||||
\(744\) | 3.01842 | + | 4.84417i | 0.110661 | + | 0.177596i | ||||
\(745\) | 18.4665 | + | 1.00122i | 0.676560 | + | 0.0366820i | ||||
\(746\) | −1.39644 | − | 1.64401i | −0.0511271 | − | 0.0601915i | ||||
\(747\) | 2.45388 | + | 12.5124i | 0.0897827 | + | 0.457805i | ||||
\(748\) | 0.00939781 | − | 0.00154069i | 0.000343618 | − | 5.63333e-5i | ||||
\(749\) | 0.584157 | + | 0.162190i | 0.0213446 | + | 0.00592630i | ||||
\(750\) | −23.6354 | − | 0.912416i | −0.863044 | − | 0.0333167i | ||||
\(751\) | 17.1762 | − | 11.6458i | 0.626769 | − | 0.424960i | −0.206022 | − | 0.978547i | \(-0.566052\pi\) |
0.832791 | + | 0.553587i | \(0.186742\pi\) | |||||||
\(752\) | 27.1297 | + | 51.1721i | 0.989320 | + | 1.86606i | ||||
\(753\) | −6.62568 | + | 14.9272i | −0.241453 | + | 0.543976i | ||||
\(754\) | 0.653759 | + | 0.619273i | 0.0238085 | + | 0.0225526i | ||||
\(755\) | 36.2711 | + | 3.94472i | 1.32004 | + | 0.143563i | ||||
\(756\) | 5.17664 | − | 1.39598i | 0.188273 | − | 0.0507714i | ||||
\(757\) | 32.6621 | − | 24.8291i | 1.18713 | − | 0.902429i | 0.190274 | − | 0.981731i | \(-0.439062\pi\) |
0.996851 | + | 0.0793019i | \(0.0252691\pi\) | |||||||
\(758\) | 25.5972 | − | 24.2469i | 0.929732 | − | 0.880689i | ||||
\(759\) | −0.248899 | + | 0.0882053i | −0.00903446 | + | 0.00320165i | ||||
\(760\) | 5.27276 | + | 15.6490i | 0.191263 | + | 0.567649i | ||||
\(761\) | −0.782623 | + | 1.02952i | −0.0283701 | + | 0.0373202i | −0.810059 | − | 0.586348i | \(-0.800565\pi\) |
0.781689 | + | 0.623668i | \(0.214358\pi\) | |||||||
\(762\) | −14.3557 | − | 34.4589i | −0.520054 | − | 1.24831i | ||||
\(763\) | 35.6122 | + | 18.8804i | 1.28925 | + | 0.683516i | ||||
\(764\) | 0.903974 | + | 2.26880i | 0.0327046 | + | 0.0820825i | ||||
\(765\) | 4.28935 | − | 8.73805i | 0.155082 | − | 0.315925i | ||||
\(766\) | 14.9799i | 0.541245i | ||||||||
\(767\) | 7.57724 | − | 3.16030i | 0.273598 | − | 0.114112i | ||||
\(768\) | −4.93850 | − | 16.7688i | −0.178203 | − | 0.605092i | ||||
\(769\) | 3.93606 | + | 6.54178i | 0.141938 | + | 0.235903i | 0.919669 | − | 0.392695i | \(-0.128457\pi\) |
−0.777731 | + | 0.628597i | \(0.783629\pi\) | |||||||
\(770\) | −0.149538 | + | 0.0595815i | −0.00538899 | + | 0.00214717i | ||||
\(771\) | −8.20933 | + | 40.2743i | −0.295652 | + | 1.45044i | ||||
\(772\) | −2.17133 | + | 0.236146i | −0.0781477 | + | 0.00849908i | ||||
\(773\) | −37.3434 | − | 28.3877i | −1.34315 | − | 1.02103i | −0.996548 | − | 0.0830222i | \(-0.973543\pi\) |
−0.346601 | − | 0.938013i | \(-0.612664\pi\) | |||||||
\(774\) | −29.9556 | − | 23.8785i | −1.07673 | − | 0.858294i | ||||
\(775\) | 2.15575 | − | 0.116881i | 0.0774367 | − | 0.00419850i | ||||
\(776\) | −11.7318 | − | 12.3851i | −0.421146 | − | 0.444599i | ||||
\(777\) | 21.6472 | − | 29.4167i | 0.776588 | − | 1.05532i | ||||
\(778\) | −33.3717 | − | 22.6266i | −1.19643 | − | 0.811201i | ||||
\(779\) | 1.89044 | − | 17.3823i | 0.0677321 | − | 0.622786i | ||||
\(780\) | 0.951664 | − | 1.86466i | 0.0340751 | − | 0.0667656i | ||||
\(781\) | 0.131471 | + | 0.111673i | 0.00470440 | + | 0.00399596i | ||||
\(782\) | −15.5273 | + | 8.23203i | −0.555254 | + | 0.294377i | ||||
\(783\) | 2.78367 | + | 0.323666i | 0.0994801 | + | 0.0115669i | ||||
\(784\) | −6.69796 | − | 2.25680i | −0.239213 | − | 0.0806002i | ||||
\(785\) | 13.0544 | − | 47.0178i | 0.465933 | − | 1.67814i | ||||
\(786\) | −51.8202 | + | 24.9620i | −1.84837 | + | 0.890365i | ||||
\(787\) | −18.0477 | + | 45.2963i | −0.643331 | + | 1.61464i | 0.137934 | + | 0.990441i | \(0.455954\pi\) |
−0.781266 | + | 0.624199i | \(0.785426\pi\) | |||||||
\(788\) | −3.69363 | + | 3.13740i | −0.131580 | + | 0.111765i | ||||
\(789\) | −8.21933 | − | 34.7526i | −0.292616 | − | 1.23722i | ||||
\(790\) | 57.0015 | − | 15.8264i | 2.02802 | − | 0.563078i | ||||
\(791\) | −17.7834 | + | 8.22747i | −0.632304 | + | 0.292535i | ||||
\(792\) | −0.0881262 | + | 0.0888481i | −0.00313143 | + | 0.00315708i | ||||
\(793\) | −12.8256 | − | 2.82314i | −0.455452 | − | 0.100253i | ||||
\(794\) | −9.65728 | + | 20.8739i | −0.342724 | + | 0.740786i | ||||
\(795\) | 0.976226 | − | 0.121589i | 0.0346232 | − | 0.00431230i | ||||
\(796\) | 0.976415 | + | 0.587489i | 0.0346081 | + | 0.0208230i | ||||
\(797\) | −12.5756 | − | 7.56649i | −0.445451 | − | 0.268019i | 0.275107 | − | 0.961414i | \(-0.411287\pi\) |
−0.720558 | + | 0.693395i | \(0.756114\pi\) | |||||||
\(798\) | 16.6045 | − | 2.06809i | 0.587794 | − | 0.0732096i | ||||
\(799\) | 6.55555 | − | 14.1696i | 0.231919 | − | 0.501284i | ||||
\(800\) | −3.81691 | − | 0.840166i | −0.134948 | − | 0.0297044i | ||||
\(801\) | −10.2256 | + | 10.3093i | −0.361303 | + | 0.364263i | ||||
\(802\) | 23.9406 | − | 11.0761i | 0.845371 | − | 0.391110i | ||||
\(803\) | 0.0114973 | − | 0.00319220i | 0.000405730 | − | 0.000112650i | ||||
\(804\) | −1.51316 | − | 6.39789i | −0.0533652 | − | 0.225636i | ||||
\(805\) | 40.8503 | − | 34.6986i | 1.43979 | − | 1.22296i | ||||
\(806\) | 0.835847 | − | 2.09782i | 0.0294415 | − | 0.0738925i | ||||
\(807\) | 12.1470 | − | 5.85127i | 0.427596 | − | 0.205975i | ||||
\(808\) | 4.65800 | − | 16.7766i | 0.163868 | − | 0.590199i | ||||
\(809\) | 25.4050 | + | 8.55993i | 0.893191 | + | 0.300951i | 0.728217 | − | 0.685347i | \(-0.240349\pi\) |
0.164974 | + | 0.986298i | \(0.447246\pi\) | |||||||
\(810\) | −6.13225 | − | 35.5843i | −0.215465 | − | 1.25030i | ||||
\(811\) | 36.9024 | − | 19.5644i | 1.29582 | − | 0.687000i | 0.329454 | − | 0.944172i | \(-0.393135\pi\) |
0.966366 | + | 0.257172i | \(0.0827906\pi\) | |||||||
\(812\) | −0.424139 | − | 0.360267i | −0.0148844 | − | 0.0126429i | ||||
\(813\) | −8.03646 | + | 15.7464i | −0.281851 | + | 0.552251i | ||||
\(814\) | 0.0260186 | − | 0.239237i | 0.000911951 | − | 0.00838525i | ||||
\(815\) | 22.9522 | + | 15.5620i | 0.803979 | + | 0.545111i | ||||
\(816\) | −6.07838 | + | 8.26000i | −0.212786 | + | 0.289158i | ||||
\(817\) | −14.8345 | − | 15.6606i | −0.518993 | − | 0.547894i | ||||
\(818\) | 5.39011 | − | 0.292243i | 0.188461 | − | 0.0102180i | ||||
\(819\) | 5.87598 | + | 4.68392i | 0.205323 | + | 0.163669i | ||||
\(820\) | 5.96480 | + | 4.53432i | 0.208300 | + | 0.158345i | ||||
\(821\) | 49.4455 | − | 5.37752i | 1.72566 | − | 0.187677i | 0.809126 | − | 0.587635i | \(-0.199941\pi\) |
0.916533 | + | 0.399958i | \(0.130975\pi\) | |||||||
\(822\) | 4.71207 | − | 23.1170i | 0.164352 | − | 0.806299i | ||||
\(823\) | −2.30534 | + | 0.918530i | −0.0803590 | + | 0.0320179i | −0.409971 | − | 0.912098i | \(-0.634461\pi\) |
0.329612 | + | 0.944116i | \(0.393082\pi\) | |||||||
\(824\) | −23.9648 | − | 39.8297i | −0.834852 | − | 1.38753i | ||||
\(825\) | 0.0133724 | + | 0.0454065i | 0.000465569 | + | 0.00158085i | ||||
\(826\) | −25.3287 | + | 12.2135i | −0.881299 | + | 0.424963i | ||||
\(827\) | 13.8239i | 0.480703i | 0.970686 | + | 0.240351i | \(0.0772626\pi\) | ||||
−0.970686 | + | 0.240351i | \(0.922737\pi\) | |||||||
\(828\) | −5.18326 | + | 10.5591i | −0.180131 | + | 0.366953i | ||||
\(829\) | 6.69578 | + | 16.8052i | 0.232554 | + | 0.583667i | 0.998224 | − | 0.0595664i | \(-0.0189718\pi\) |
−0.765670 | + | 0.643233i | \(0.777592\pi\) | |||||||
\(830\) | −15.0660 | − | 7.98748i | −0.522948 | − | 0.277250i | ||||
\(831\) | 12.6839 | + | 30.4458i | 0.439999 | + | 1.05615i | ||||
\(832\) | 3.58908 | − | 4.72136i | 0.124429 | − | 0.163684i | ||||
\(833\) | 0.608342 | + | 1.80549i | 0.0210778 | + | 0.0625567i | ||||
\(834\) | 1.79729 | − | 0.636927i | 0.0622351 | − | 0.0220550i | ||||
\(835\) | −7.56269 | + | 7.16376i | −0.261718 | + | 0.247912i | ||||
\(836\) | 0.0158362 | − | 0.0120384i | 0.000547706 | − | 0.000416355i | ||||
\(837\) | −1.82979 | − | 6.78530i | −0.0632468 | − | 0.234534i | ||||
\(838\) | 16.3961 | + | 1.78318i | 0.566393 | + | 0.0615990i | ||||
\(839\) | −13.3880 | − | 12.6817i | −0.462204 | − | 0.437822i | 0.420825 | − | 0.907142i | \(-0.361741\pi\) |
−0.883028 | + | 0.469319i | \(0.844499\pi\) | |||||||
\(840\) | 10.3048 | − | 23.2158i | 0.355548 | − | 0.801023i | ||||
\(841\) | 13.4476 | + | 25.3649i | 0.463710 | + | 0.874650i | ||||
\(842\) | 0.220302 | − | 0.149368i | 0.00759210 | − | 0.00514757i | ||||
\(843\) | −10.8904 | − | 0.420411i | −0.375086 | − | 0.0144797i | ||||
\(844\) | −5.50921 | − | 1.52963i | −0.189635 | − | 0.0526519i | ||||
\(845\) | −30.0529 | + | 4.92692i | −1.03385 | + | 0.169491i | ||||
\(846\) | −11.1458 | − | 56.8327i | −0.383200 | − | 1.95395i | ||||
\(847\) | 16.6881 | + | 19.6468i | 0.573410 | + | 0.675070i | ||||
\(848\) | −1.03494 | − | 0.0561130i | −0.0355401 | − | 0.00192693i | ||||
\(849\) | 10.9449 | + | 17.5651i | 0.375627 | + | 0.602833i | ||||
\(850\) | 1.32277 | + | 2.85912i | 0.0453706 | + | 0.0980670i | ||||
\(851\) | 17.2251 | + | 78.2543i | 0.590468 | + | 2.68252i | ||||
\(852\) | 7.66511 | − | 0.535481i | 0.262602 | − | 0.0183453i | ||||
\(853\) | 39.0393 | + | 18.0615i | 1.33668 | + | 0.618415i | 0.952414 | − | 0.304807i | \(-0.0985920\pi\) |
0.384267 | + | 0.923222i | \(0.374454\pi\) | |||||||
\(854\) | 44.3882 | + | 7.27707i | 1.51893 | + | 0.249016i | ||||
\(855\) | −0.633498 | − | 20.3228i | −0.0216652 | − | 0.695026i | ||||
\(856\) | −0.324960 | + | 0.540087i | −0.0111069 | + | 0.0184598i | ||||
\(857\) | −1.01835 | + | 6.21165i | −0.0347861 | + | 0.212186i | −0.998500 | − | 0.0547514i | \(-0.982563\pi\) |
0.963714 | + | 0.266937i | \(0.0860116\pi\) | |||||||
\(858\) | 0.0489783 | + | 0.00724789i | 0.00167209 | + | 0.000247439i | ||||
\(859\) | 7.10509 | − | 32.2788i | 0.242423 | − | 1.10134i | −0.685357 | − | 0.728207i | \(-0.740354\pi\) |
0.927779 | − | 0.373129i | \(-0.121715\pi\) | |||||||
\(860\) | 9.02757 | − | 1.98712i | 0.307838 | − | 0.0677602i | ||||
\(861\) | −20.2240 | + | 17.7282i | −0.689232 | + | 0.604175i | ||||
\(862\) | 8.83019 | + | 31.8035i | 0.300757 | + | 1.08323i | ||||
\(863\) | 1.26069 | − | 23.2520i | 0.0429142 | − | 0.791507i | −0.895303 | − | 0.445459i | \(-0.853041\pi\) |
0.938217 | − | 0.346048i | \(-0.112477\pi\) | |||||||
\(864\) | −0.0944351 | + | 12.7219i | −0.00321275 | + | 0.432808i | ||||
\(865\) | 22.3253 | + | 8.89520i | 0.759082 | + | 0.302446i | ||||
\(866\) | 1.70424 | + | 10.3954i | 0.0579126 | + | 0.353251i | ||||
\(867\) | −26.6772 | + | 0.415686i | −0.906004 | + | 0.0141174i | ||||
\(868\) | −0.445596 | + | 1.32248i | −0.0151245 | + | 0.0448880i | ||||
\(869\) | 0.141665 | + | 0.208941i | 0.00480567 | + | 0.00708784i | ||||
\(870\) | −2.68044 | + | 2.61948i | −0.0908753 | + | 0.0888085i | ||||
\(871\) | 5.96516 | − | 7.02273i | 0.202122 | − | 0.237956i | ||||
\(872\) | −28.8194 | + | 30.4243i | −0.975950 | + | 1.03030i | ||||
\(873\) | 9.40946 | + | 18.7796i | 0.318462 | + | 0.635593i | ||||
\(874\) | −20.6011 | + | 30.3844i | −0.696844 | + | 1.02777i | ||||
\(875\) | 12.3979 | + | 16.3091i | 0.419125 | + | 0.551350i | ||||
\(876\) | 0.266895 | − | 0.459645i | 0.00901754 | − | 0.0155300i | ||||
\(877\) | 1.99862 | + | 36.8624i | 0.0674886 | + | 1.24475i | 0.814587 | + | 0.580041i | \(0.196964\pi\) |
−0.747098 | + | 0.664713i | \(0.768554\pi\) | |||||||
\(878\) | −58.9424 | + | 19.8600i | −1.98921 | + | 0.670242i | ||||
\(879\) | −25.4216 | − | 9.67273i | −0.857451 | − | 0.326253i | ||||
\(880\) | −0.0222811 | − | 0.204871i | −0.000751095 | − | 0.00690620i | ||||
\(881\) | 14.3408 | − | 27.0497i | 0.483154 | − | 0.911326i | −0.515367 | − | 0.856970i | \(-0.672344\pi\) |
0.998522 | − | 0.0543565i | \(-0.0173108\pi\) | |||||||
\(882\) | 5.75691 | + | 4.09969i | 0.193845 | + | 0.138044i | ||||
\(883\) | 28.5121 | − | 17.1552i | 0.959508 | − | 0.577317i | 0.0525864 | − | 0.998616i | \(-0.483253\pi\) |
0.906922 | + | 0.421300i | \(0.138426\pi\) | |||||||
\(884\) | 0.594541 | 0.0199966 | ||||||||
\(885\) | 11.9268 | + | 32.0202i | 0.400914 | + | 1.07635i | ||||
\(886\) | 7.81925 | 0.262693 | ||||||||
\(887\) | −36.7444 | + | 22.1084i | −1.23376 | + | 0.742326i | −0.974696 | − | 0.223535i | \(-0.928240\pi\) |
−0.259060 | + | 0.965861i | \(0.583413\pi\) | |||||||
\(888\) | 23.4481 | + | 29.8679i | 0.786868 | + | 1.00230i | ||||
\(889\) | −15.1446 | + | 28.5658i | −0.507935 | + | 0.958066i | ||||
\(890\) | −2.09958 | − | 19.3053i | −0.0703782 | − | 0.647117i | ||||
\(891\) | 0.135542 | − | 0.0732824i | 0.00454082 | − | 0.00245505i | ||||
\(892\) | −9.39224 | + | 3.16461i | −0.314475 | + | 0.105959i | ||||
\(893\) | −1.76557 | − | 32.5640i | −0.0590826 | − | 1.08971i | ||||
\(894\) | 16.8486 | + | 9.78320i | 0.563501 | + | 0.327199i | ||||
\(895\) | −24.9571 | − | 32.8305i | −0.834224 | − | 1.09740i | ||||
\(896\) | −17.8394 | + | 26.3111i | −0.595972 | + | 0.878993i | ||||
\(897\) | −16.2250 | + | 2.92024i | −0.541738 | + | 0.0975040i | ||||
\(898\) | −14.8904 | + | 15.7196i | −0.496900 | + | 0.524571i | ||||
\(899\) | −0.472221 | + | 0.555942i | −0.0157495 | + | 0.0185417i | ||||
\(900\) | 1.83967 | + | 1.03023i | 0.0613224 | + | 0.0343408i | ||||
\(901\) | 0.156789 | + | 0.231246i | 0.00522339 | + | 0.00770392i | ||||
\(902\) | −0.0565813 | + | 0.167927i | −0.00188395 | + | 0.00559137i | ||||
\(903\) | 0.516946 | + | 33.1756i | 0.0172029 | + | 1.10402i | ||||
\(904\) | −3.29581 | − | 20.1036i | −0.109617 | − | 0.668635i | ||||
\(905\) | 27.8634 | + | 11.1018i | 0.926211 | + | 0.369036i | ||||
\(906\) | 32.1459 | + | 21.0719i | 1.06798 | + | 0.700068i | ||||
\(907\) | 0.0826672 | − | 1.52471i | 0.00274492 | − | 0.0506270i | −0.996840 | − | 0.0794350i | \(-0.974688\pi\) |
0.999585 | + | 0.0288080i | \(0.00917114\pi\) | |||||||
\(908\) | 0.952001 | + | 3.42880i | 0.0315933 | + | 0.113789i | ||||
\(909\) | −11.4721 | + | 18.1104i | −0.380507 | + | 0.600683i | ||||
\(910\) | −9.81453 | + | 2.16034i | −0.325348 | + | 0.0716146i | ||||
\(911\) | 11.3287 | − | 51.4668i | 0.375337 | − | 1.70517i | −0.288655 | − | 0.957433i | \(-0.593208\pi\) |
0.663992 | − | 0.747740i | \(-0.268861\pi\) | |||||||
\(912\) | −3.13588 | + | 21.1910i | −0.103839 | + | 0.701705i | ||||
\(913\) | 0.0117723 | − | 0.0718076i | 0.000389605 | − | 0.00237648i | ||||
\(914\) | −0.307001 | + | 0.510239i | −0.0101547 | + | 0.0168772i | ||||
\(915\) | 13.8002 | − | 52.8870i | 0.456220 | − | 1.74839i | ||||
\(916\) | −1.36116 | − | 0.223151i | −0.0449741 | − | 0.00737312i | ||||
\(917\) | 45.2141 | + | 20.9183i | 1.49310 | + | 0.690783i | ||||
\(918\) | 8.20962 | − | 6.14517i | 0.270958 | − | 0.202821i | ||||
\(919\) | −1.79311 | − | 8.14619i | −0.0591493 | − | 0.268718i | 0.937759 | − | 0.347285i | \(-0.112896\pi\) |
−0.996909 | + | 0.0785673i | \(0.974965\pi\) | |||||||
\(920\) | 23.3983 | + | 50.5745i | 0.771418 | + | 1.66739i | ||||
\(921\) | 16.1979 | − | 10.0930i | 0.533738 | − | 0.332574i | ||||
\(922\) | −44.4585 | − | 2.41047i | −1.46416 | − | 0.0793846i | ||||
\(923\) | 6.97176 | + | 8.20779i | 0.229478 | + | 0.270163i | ||||
\(924\) | −0.0304659 | − | 0.00283384i | −0.00100226 | − | 9.32266e-5i | ||||
\(925\) | 14.1739 | − | 2.32370i | 0.466036 | − | 0.0764027i | ||||
\(926\) | 53.9563 | + | 14.9809i | 1.77311 | + | 0.492303i | ||||
\(927\) | 14.0393 | + | 55.4858i | 0.461110 | + | 1.82239i | ||||
\(928\) | 1.09295 | − | 0.741039i | 0.0358779 | − | 0.0243258i | ||||
\(929\) | 2.58869 | + | 4.88278i | 0.0849321 | + | 0.160199i | 0.922340 | − | 0.386380i | \(-0.126275\pi\) |
−0.837408 | + | 0.546579i | \(0.815930\pi\) | |||||||
\(930\) | 8.59036 | + | 3.81298i | 0.281689 | + | 0.125033i | ||||
\(931\) | 2.88923 | + | 2.73682i | 0.0946906 | + | 0.0896957i | ||||
\(932\) | 3.22469 | + | 0.350706i | 0.105628 | + | 0.0114878i | ||||
\(933\) | 11.7640 | − | 36.7994i | 0.385135 | − | 1.20476i | ||||
\(934\) | −11.6599 | + | 8.86360i | −0.381522 | + | 0.290026i | ||||
\(935\) | −0.0403294 | + | 0.0382020i | −0.00131891 | + | 0.00124934i | ||||
\(936\) | −6.32665 | + | 4.58367i | −0.206793 | + | 0.149822i | ||||
\(937\) | 17.5828 | + | 52.1840i | 0.574406 | + | 1.70478i | 0.701305 | + | 0.712861i | \(0.252601\pi\) |
−0.126899 | + | 0.991916i | \(0.540502\pi\) | |||||||
\(938\) | −19.0991 | + | 25.1244i | −0.623607 | + | 0.820341i | ||||
\(939\) | −11.0369 | + | 4.59804i | −0.360176 | + | 0.150051i | ||||
\(940\) | 12.3469 | + | 6.54593i | 0.402713 | + | 0.213505i | ||||
\(941\) | −2.00664 | − | 5.03628i | −0.0654144 | − | 0.164178i | 0.892635 | − | 0.450779i | \(-0.148854\pi\) |
−0.958050 | + | 0.286601i | \(0.907475\pi\) | |||||||
\(942\) | 34.7667 | − | 37.8674i | 1.13276 | − | 1.23379i | ||||
\(943\) | − | 59.0028i | − | 1.92140i | ||||||
\(944\) | −6.39114 | − | 35.4276i | −0.208014 | − | 1.15307i | ||||
\(945\) | −20.4232 | + | 23.6854i | −0.664366 | + | 0.770488i | ||||
\(946\) | 0.112709 | + | 0.187324i | 0.00366449 | + | 0.00609043i | ||||
\(947\) | 44.0729 | − | 17.5603i | 1.43218 | − | 0.570632i | 0.480299 | − | 0.877105i | \(-0.340528\pi\) |
0.951879 | + | 0.306473i | \(0.0991489\pi\) | |||||||
\(948\) | 11.0182 | + | 2.24589i | 0.357854 | + | 0.0729432i | ||||
\(949\) | 0.740566 | − | 0.0805414i | 0.0240398 | − | 0.00261448i | ||||
\(950\) | 5.23859 | + | 3.98227i | 0.169962 | + | 0.129202i | ||||
\(951\) | −30.7966 | + | 21.5885i | −0.998647 | + | 0.700057i | ||||
\(952\) | 7.20297 | − | 0.390534i | 0.233450 | − | 0.0126573i | ||||
\(953\) | 6.71436 | + | 7.08826i | 0.217499 | + | 0.229611i | 0.825610 | − | 0.564241i | \(-0.190831\pi\) |
−0.608111 | + | 0.793852i | \(0.708072\pi\) | |||||||
\(954\) | 0.974273 | + | 0.353427i | 0.0315433 | + | 0.0114426i | ||||
\(955\) | −11.7913 | − | 7.99469i | −0.381557 | − | 0.258702i | ||||
\(956\) | 0.880172 | − | 8.09305i | 0.0284668 | − | 0.261748i | ||||
\(957\) | −0.0142449 | − | 0.00727015i | −0.000460472 | − | 0.000235010i | ||||
\(958\) | −15.1142 | − | 12.8381i | −0.488316 | − | 0.414780i | ||||
\(959\) | −18.0536 | + | 9.57143i | −0.582982 | + | 0.309077i | ||||
\(960\) | 19.0593 | + | 15.6845i | 0.615136 | + | 0.506216i | ||||
\(961\) | −27.6438 | − | 9.31428i | −0.891735 | − | 0.300461i | ||||
\(962\) | 4.01927 | − | 14.4761i | 0.129586 | − | 0.466728i | ||||
\(963\) | 0.575568 | − | 0.520618i | 0.0185474 | − | 0.0167767i | ||||
\(964\) | 3.09872 | − | 7.77720i | 0.0998030 | − | 0.250487i | ||||
\(965\) | 9.71018 | − | 8.24790i | 0.312582 | − | 0.265509i | ||||
\(966\) | 54.9493 | − | 12.9961i | 1.76797 | − | 0.418142i | ||||
\(967\) | 28.8721 | − | 8.01631i | 0.928465 | − | 0.257787i | 0.229802 | − | 0.973237i | \(-0.426192\pi\) |
0.698664 | + | 0.715450i | \(0.253778\pi\) | |||||||
\(968\) | −24.3235 | + | 11.2533i | −0.781788 | + | 0.361694i | ||||
\(969\) | 5.05902 | − | 2.78395i | 0.162519 | − | 0.0894334i | ||||
\(970\) | −27.4346 | − | 6.03881i | −0.880872 | − | 0.193895i | ||||
\(971\) | −13.9276 | + | 30.1039i | −0.446957 | + | 0.966081i | 0.544874 | + | 0.838518i | \(0.316578\pi\) |
−0.991830 | + | 0.127563i | \(0.959285\pi\) | |||||||
\(972\) | 2.03654 | − | 6.55448i | 0.0653221 | − | 0.210235i | ||||
\(973\) | −1.41513 | − | 0.851455i | −0.0453670 | − | 0.0272964i | ||||
\(974\) | −19.2092 | − | 11.5578i | −0.615503 | − | 0.370336i | ||||
\(975\) | 0.365238 | + | 2.93247i | 0.0116970 | + | 0.0939141i | ||||
\(976\) | −24.1795 | + | 52.2632i | −0.773967 | + | 1.67290i | ||||
\(977\) | 40.3993 | + | 8.89256i | 1.29249 | + | 0.284498i | 0.807419 | − | 0.589978i | \(-0.200864\pi\) |
0.485069 | + | 0.874476i | \(0.338795\pi\) | |||||||
\(978\) | 14.0845 | + | 25.5945i | 0.450373 | + | 0.818422i | ||||
\(979\) | 0.0752069 | − | 0.0347944i | 0.00240362 | − | 0.00111203i | ||||
\(980\) | −1.64321 | + | 0.456235i | −0.0524904 | + | 0.0145739i | ||||
\(981\) | 44.8136 | − | 25.5783i | 1.43079 | − | 0.816652i | ||||
\(982\) | 33.6415 | − | 28.5754i | 1.07354 | − | 0.911877i | ||||
\(983\) | 4.72764 | − | 11.8655i | 0.150788 | − | 0.378450i | −0.834107 | − | 0.551603i | \(-0.814016\pi\) |
0.984895 | + | 0.173153i | \(0.0553956\pi\) | |||||||
\(984\) | −12.1347 | − | 25.1911i | −0.386839 | − | 0.803063i | ||||
\(985\) | 7.56271 | − | 27.2384i | 0.240968 | − | 0.867888i | ||||
\(986\) | −1.00866 | − | 0.339858i | −0.0321224 | − | 0.0108233i | ||||
\(987\) | −31.8745 | + | 38.7328i | −1.01458 | + | 1.23288i | ||||
\(988\) | 1.09722 | − | 0.581711i | 0.0349074 | − | 0.0185067i | ||||
\(989\) | −55.4796 | − | 47.1248i | −1.76415 | − | 1.49848i | ||||
\(990\) | −0.0380064 | + | 0.202531i | −0.00120792 | + | 0.00643685i | ||||
\(991\) | −4.63091 | + | 42.5806i | −0.147106 | + | 1.35262i | 0.655088 | + | 0.755552i | \(0.272631\pi\) |
−0.802194 | + | 0.597064i | \(0.796334\pi\) | |||||||
\(992\) | −2.74082 | − | 1.85832i | −0.0870211 | − | 0.0590018i | ||||
\(993\) | −25.2127 | − | 18.5536i | −0.800101 | − | 0.588780i | ||||
\(994\) | −25.3659 | − | 26.7785i | −0.804558 | − | 0.849361i | ||||
\(995\) | −6.63728 | + | 0.359863i | −0.210416 | + | 0.0114084i | ||||
\(996\) | −1.86057 | − | 2.65414i | −0.0589544 | − | 0.0840998i | ||||
\(997\) | 23.7513 | + | 18.0553i | 0.752212 | + | 0.571817i | 0.909484 | − | 0.415739i | \(-0.136477\pi\) |
−0.157272 | + | 0.987555i | \(0.550270\pi\) | |||||||
\(998\) | 43.0518 | − | 4.68216i | 1.36278 | − | 0.148211i | ||||
\(999\) | −16.9829 | − | 43.5615i | −0.537315 | − | 1.37822i |
(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 | 177.2.f.a.14.13 | yes | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.14.6 | ✓ | 504 | |
59.38 | odd | 58 | inner | 177.2.f.a.38.6 | yes | 504 | |
177.38 | even | 58 | inner | 177.2.f.a.38.13 | yes | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.14.6 | ✓ | 504 | 3.2 | odd | 2 | inner | |
177.2.f.a.14.13 | yes | 504 | 1.1 | even | 1 | trivial | |
177.2.f.a.38.6 | yes | 504 | 59.38 | odd | 58 | inner | |
177.2.f.a.38.13 | yes | 504 | 177.38 | even | 58 | inner |