Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 121.2 | ||
Character | \(\chi\) | \(=\) | 483.121 |
Dual form | 483.2.y.b.4.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37000 | − | 1.92390i | −0.968737 | − | 1.36040i | −0.932544 | − | 0.361056i | \(-0.882416\pi\) |
−0.0361926 | − | 0.999345i | \(-0.511523\pi\) | |||||||
\(3\) | 0.235759 | + | 0.971812i | 0.136115 | + | 0.561076i | ||||
\(4\) | −1.17034 | + | 3.38148i | −0.585171 | + | 1.69074i | ||||
\(5\) | 0.00886507 | + | 0.186101i | 0.00396458 | + | 0.0832268i | 0.999982 | − | 0.00592722i | \(-0.00188670\pi\) |
−0.996018 | + | 0.0891540i | \(0.971584\pi\) | |||||||
\(6\) | 1.54668 | − | 1.78496i | 0.631428 | − | 0.728706i | ||||
\(7\) | 0.229059 | − | 2.63582i | 0.0865763 | − | 0.996245i | ||||
\(8\) | 3.57665 | − | 1.05020i | 1.26454 | − | 0.371301i | ||||
\(9\) | −0.888835 | + | 0.458227i | −0.296278 | + | 0.152742i | ||||
\(10\) | 0.345893 | − | 0.272014i | 0.109381 | − | 0.0860183i | ||||
\(11\) | 1.99704 | − | 2.80445i | 0.602131 | − | 0.845575i | −0.395199 | − | 0.918595i | \(-0.629324\pi\) |
0.997330 | + | 0.0730206i | \(0.0232639\pi\) | |||||||
\(12\) | −3.56208 | − | 0.340137i | −1.02828 | − | 0.0981892i | ||||
\(13\) | 1.00107 | + | 6.96260i | 0.277647 | + | 1.93108i | 0.356725 | + | 0.934210i | \(0.383893\pi\) |
−0.0790776 | + | 0.996868i | \(0.525197\pi\) | |||||||
\(14\) | −5.38485 | + | 3.17038i | −1.43916 | + | 0.847321i | ||||
\(15\) | −0.178765 | + | 0.0524901i | −0.0461569 | + | 0.0135529i | ||||
\(16\) | −1.29505 | − | 1.01844i | −0.323762 | − | 0.254610i | ||||
\(17\) | 0.821886 | + | 0.158406i | 0.199337 | + | 0.0384190i | 0.287942 | − | 0.957648i | \(-0.407029\pi\) |
−0.0886055 | + | 0.996067i | \(0.528241\pi\) | |||||||
\(18\) | 2.09929 | + | 1.08226i | 0.494806 | + | 0.255090i | ||||
\(19\) | 1.86797 | − | 0.360021i | 0.428541 | − | 0.0825945i | 0.0295801 | − | 0.999562i | \(-0.490583\pi\) |
0.398961 | + | 0.916968i | \(0.369371\pi\) | |||||||
\(20\) | −0.639671 | − | 0.187824i | −0.143035 | − | 0.0419988i | ||||
\(21\) | 2.61552 | − | 0.398815i | 0.570753 | − | 0.0870285i | ||||
\(22\) | −8.13143 | −1.73363 | ||||||||
\(23\) | −0.101065 | − | 4.79477i | −0.0210734 | − | 0.999778i | ||||
\(24\) | 1.86382 | + | 3.22824i | 0.380451 | + | 0.658961i | ||||
\(25\) | 4.94280 | − | 0.471981i | 0.988561 | − | 0.0943961i | ||||
\(26\) | 12.0239 | − | 11.4647i | 2.35807 | − | 2.24842i | ||||
\(27\) | −0.654861 | − | 0.755750i | −0.126028 | − | 0.145444i | ||||
\(28\) | 8.64488 | + | 3.85936i | 1.63373 | + | 0.729351i | ||||
\(29\) | 4.93730 | − | 5.69795i | 0.916834 | − | 1.05808i | −0.0812797 | − | 0.996691i | \(-0.525901\pi\) |
0.998114 | − | 0.0613915i | \(-0.0195538\pi\) | |||||||
\(30\) | 0.345893 | + | 0.272014i | 0.0631512 | + | 0.0496627i | ||||
\(31\) | −7.25015 | − | 6.91300i | −1.30217 | − | 1.24161i | −0.952428 | − | 0.304765i | \(-0.901422\pi\) |
−0.349738 | − | 0.936848i | \(-0.613729\pi\) | |||||||
\(32\) | 0.169586 | − | 3.56004i | 0.0299788 | − | 0.629333i | ||||
\(33\) | 3.19622 | + | 1.27957i | 0.556391 | + | 0.222745i | ||||
\(34\) | −0.821229 | − | 1.79824i | −0.140840 | − | 0.308396i | ||||
\(35\) | 0.492558 | + | 0.0192614i | 0.0832575 | + | 0.00325578i | ||||
\(36\) | −0.509243 | − | 3.54186i | −0.0848738 | − | 0.590310i | ||||
\(37\) | 1.27855 | − | 0.659140i | 0.210193 | − | 0.108362i | −0.349916 | − | 0.936781i | \(-0.613790\pi\) |
0.560108 | + | 0.828419i | \(0.310759\pi\) | |||||||
\(38\) | −3.25176 | − | 3.10055i | −0.527505 | − | 0.502975i | ||||
\(39\) | −6.53032 | + | 2.61435i | −1.04569 | + | 0.418631i | ||||
\(40\) | 0.227150 | + | 0.656307i | 0.0359156 | + | 0.103771i | ||||
\(41\) | 1.71177 | − | 1.10009i | 0.267333 | − | 0.171805i | −0.400106 | − | 0.916469i | \(-0.631027\pi\) |
0.667439 | + | 0.744664i | \(0.267390\pi\) | |||||||
\(42\) | −4.35054 | − | 4.48561i | −0.671303 | − | 0.692145i | ||||
\(43\) | 10.1515 | + | 2.98076i | 1.54809 | + | 0.454561i | 0.940530 | − | 0.339710i | \(-0.110329\pi\) |
0.607563 | + | 0.794271i | \(0.292147\pi\) | |||||||
\(44\) | 7.14598 | + | 10.0351i | 1.07730 | + | 1.51285i | ||||
\(45\) | −0.0931559 | − | 0.161351i | −0.0138869 | − | 0.0240527i | ||||
\(46\) | −9.08618 | + | 6.76327i | −1.33968 | + | 0.997190i | ||||
\(47\) | 0.421245 | − | 0.729618i | 0.0614449 | − | 0.106426i | −0.833667 | − | 0.552268i | \(-0.813762\pi\) |
0.895111 | + | 0.445842i | \(0.147096\pi\) | |||||||
\(48\) | 0.684410 | − | 1.49865i | 0.0987861 | − | 0.216311i | ||||
\(49\) | −6.89506 | − | 1.20752i | −0.985009 | − | 0.172503i | ||||
\(50\) | −7.67969 | − | 8.86283i | −1.08607 | − | 1.25339i | ||||
\(51\) | 0.0398266 | + | 0.836064i | 0.00557684 | + | 0.117072i | ||||
\(52\) | −24.7155 | − | 4.76352i | −3.42742 | − | 0.660581i | ||||
\(53\) | 11.5508 | − | 4.62424i | 1.58662 | − | 0.635188i | 0.600266 | − | 0.799801i | \(-0.295062\pi\) |
0.986358 | + | 0.164612i | \(0.0526373\pi\) | |||||||
\(54\) | −0.556825 | + | 2.29526i | −0.0757742 | + | 0.312346i | ||||
\(55\) | 0.539615 | + | 0.346789i | 0.0727617 | + | 0.0467611i | ||||
\(56\) | −1.94887 | − | 9.66795i | −0.260428 | − | 1.29193i | ||||
\(57\) | 0.790263 | + | 1.73043i | 0.104673 | + | 0.229202i | ||||
\(58\) | −17.7264 | − | 1.69266i | −2.32759 | − | 0.222258i | ||||
\(59\) | −4.03353 | + | 3.17201i | −0.525121 | + | 0.412960i | −0.845215 | − | 0.534426i | \(-0.820528\pi\) |
0.320094 | + | 0.947386i | \(0.396285\pi\) | |||||||
\(60\) | 0.0317217 | − | 0.665921i | 0.00409526 | − | 0.0859700i | ||||
\(61\) | −1.98647 | + | 8.18834i | −0.254341 | + | 1.04841i | 0.691137 | + | 0.722724i | \(0.257110\pi\) |
−0.945478 | + | 0.325686i | \(0.894405\pi\) | |||||||
\(62\) | −3.36720 | + | 23.4194i | −0.427634 | + | 2.97426i | ||||
\(63\) | 1.00421 | + | 2.44777i | 0.126518 | + | 0.308390i | ||||
\(64\) | −9.85348 | + | 6.33245i | −1.23168 | + | 0.791556i | ||||
\(65\) | −1.28687 | + | 0.248024i | −0.159617 | + | 0.0307636i | ||||
\(66\) | −1.91706 | − | 7.90222i | −0.235973 | − | 0.972696i | ||||
\(67\) | 10.0116 | − | 0.955989i | 1.22311 | − | 0.116793i | 0.536551 | − | 0.843868i | \(-0.319727\pi\) |
0.686558 | + | 0.727075i | \(0.259121\pi\) | |||||||
\(68\) | −1.49753 | + | 2.59380i | −0.181602 | + | 0.314545i | ||||
\(69\) | 4.63578 | − | 1.22862i | 0.558083 | − | 0.147909i | ||||
\(70\) | −0.637748 | − | 0.974019i | −0.0762255 | − | 0.116418i | ||||
\(71\) | −1.02983 | + | 2.25502i | −0.122219 | + | 0.267622i | −0.960846 | − | 0.277085i | \(-0.910632\pi\) |
0.838627 | + | 0.544707i | \(0.183359\pi\) | |||||||
\(72\) | −2.69782 | + | 2.57237i | −0.317942 | + | 0.303157i | ||||
\(73\) | 2.49609 | − | 7.21198i | 0.292145 | − | 0.844098i | −0.699446 | − | 0.714686i | \(-0.746570\pi\) |
0.991591 | − | 0.129412i | \(-0.0413091\pi\) | |||||||
\(74\) | −3.01974 | − | 1.55678i | −0.351037 | − | 0.180972i | ||||
\(75\) | 1.62399 | + | 4.69220i | 0.187522 | + | 0.541809i | ||||
\(76\) | −0.968755 | + | 6.73784i | −0.111124 | + | 0.772883i | ||||
\(77\) | −6.93459 | − | 5.90623i | −0.790270 | − | 0.673077i | ||||
\(78\) | 13.9763 | + | 8.98201i | 1.58250 | + | 1.01701i | ||||
\(79\) | −6.19175 | − | 2.47880i | −0.696626 | − | 0.278887i | −0.00380099 | − | 0.999993i | \(-0.501210\pi\) |
−0.692825 | + | 0.721106i | \(0.743634\pi\) | |||||||
\(80\) | 0.178051 | − | 0.250038i | 0.0199067 | − | 0.0279551i | ||||
\(81\) | 0.580057 | − | 0.814576i | 0.0644508 | − | 0.0905084i | ||||
\(82\) | −4.46158 | − | 1.78615i | −0.492699 | − | 0.197247i | ||||
\(83\) | −8.77676 | − | 5.64048i | −0.963375 | − | 0.619123i | −0.0384448 | − | 0.999261i | \(-0.512240\pi\) |
−0.924930 | + | 0.380137i | \(0.875877\pi\) | |||||||
\(84\) | −1.71247 | + | 9.31108i | −0.186846 | + | 1.01592i | ||||
\(85\) | −0.0221933 | + | 0.154358i | −0.00240720 | + | 0.0167425i | ||||
\(86\) | −8.17293 | − | 23.6141i | −0.881310 | − | 2.54638i | ||||
\(87\) | 6.70135 | + | 3.45478i | 0.718460 | + | 0.370392i | ||||
\(88\) | 4.19749 | − | 12.1278i | 0.447454 | − | 1.29283i | ||||
\(89\) | −7.80637 | + | 7.44336i | −0.827474 | + | 0.788995i | −0.979936 | − | 0.199315i | \(-0.936128\pi\) |
0.152462 | + | 0.988309i | \(0.451280\pi\) | |||||||
\(90\) | −0.182799 | + | 0.400273i | −0.0192687 | + | 0.0421925i | ||||
\(91\) | 18.5814 | − | 1.04379i | 1.94786 | − | 0.109419i | ||||
\(92\) | 16.3317 | + | 5.26977i | 1.70270 | + | 0.549411i | ||||
\(93\) | 5.00885 | − | 8.67558i | 0.519394 | − | 0.899616i | ||||
\(94\) | −1.98082 | + | 0.189145i | −0.204305 | + | 0.0195088i | ||||
\(95\) | 0.0835599 | + | 0.344439i | 0.00857306 | + | 0.0353387i | ||||
\(96\) | 3.49967 | − | 0.674507i | 0.357184 | − | 0.0688416i | ||||
\(97\) | 4.61424 | − | 2.96539i | 0.468505 | − | 0.301090i | −0.285005 | − | 0.958526i | \(-0.591995\pi\) |
0.753510 | + | 0.657436i | \(0.228359\pi\) | |||||||
\(98\) | 7.12310 | + | 14.9197i | 0.719542 | + | 1.50712i | ||||
\(99\) | −0.489967 | + | 3.40780i | −0.0492436 | + | 0.342496i | ||||
\(100\) | −4.18878 | + | 17.2664i | −0.418878 | + | 1.72664i | ||||
\(101\) | −0.686509 | + | 14.4116i | −0.0683102 | + | 1.43401i | 0.661288 | + | 0.750132i | \(0.270010\pi\) |
−0.729598 | + | 0.683876i | \(0.760293\pi\) | |||||||
\(102\) | 1.55394 | − | 1.22203i | 0.153863 | − | 0.120999i | ||||
\(103\) | 16.2332 | + | 1.55008i | 1.59950 | + | 0.152734i | 0.856353 | − | 0.516391i | \(-0.172725\pi\) |
0.743150 | + | 0.669125i | \(0.233331\pi\) | |||||||
\(104\) | 10.8926 | + | 23.8515i | 1.06811 | + | 2.33883i | ||||
\(105\) | 0.0974065 | + | 0.483215i | 0.00950590 | + | 0.0471569i | ||||
\(106\) | −24.7212 | − | 15.8873i | −2.40113 | − | 1.54311i | ||||
\(107\) | −0.325665 | + | 1.34241i | −0.0314833 | + | 0.129776i | −0.985384 | − | 0.170345i | \(-0.945512\pi\) |
0.953901 | + | 0.300121i | \(0.0970270\pi\) | |||||||
\(108\) | 3.32196 | − | 1.32991i | 0.319656 | − | 0.127971i | ||||
\(109\) | −9.44352 | − | 1.82009i | −0.904525 | − | 0.174333i | −0.284280 | − | 0.958741i | \(-0.591755\pi\) |
−0.620245 | + | 0.784408i | \(0.712967\pi\) | |||||||
\(110\) | −0.0720857 | − | 1.51327i | −0.00687310 | − | 0.144284i | ||||
\(111\) | 0.941990 | + | 1.08711i | 0.0894098 | + | 0.103184i | ||||
\(112\) | −2.98106 | + | 3.18023i | −0.281684 | + | 0.300504i | ||||
\(113\) | −5.65962 | + | 12.3928i | −0.532412 | + | 1.16582i | 0.432111 | + | 0.901821i | \(0.357769\pi\) |
−0.964523 | + | 0.263999i | \(0.914958\pi\) | |||||||
\(114\) | 2.24652 | − | 3.89108i | 0.210406 | − | 0.364433i | ||||
\(115\) | 0.891414 | − | 0.0613141i | 0.0831247 | − | 0.00571757i | ||||
\(116\) | 13.4892 | + | 23.3639i | 1.25244 | + | 2.16929i | ||||
\(117\) | −4.08024 | − | 5.72989i | −0.377218 | − | 0.529728i | ||||
\(118\) | 11.6286 | + | 3.41445i | 1.07050 | + | 0.314326i | ||||
\(119\) | 0.605789 | − | 2.13006i | 0.0555326 | − | 0.195262i | ||||
\(120\) | −0.584254 | + | 0.375477i | −0.0533349 | + | 0.0342762i | ||||
\(121\) | −0.279036 | − | 0.806222i | −0.0253669 | − | 0.0732929i | ||||
\(122\) | 18.4750 | − | 7.39627i | 1.67265 | − | 0.669627i | ||||
\(123\) | 1.47264 | + | 1.40416i | 0.132784 | + | 0.126609i | ||||
\(124\) | 31.8613 | − | 16.4257i | 2.86123 | − | 1.47507i | ||||
\(125\) | 0.264229 | + | 1.83775i | 0.0236334 | + | 0.164374i | ||||
\(126\) | 3.33349 | − | 5.28543i | 0.296971 | − | 0.470864i | ||||
\(127\) | 0.00174739 | + | 0.00382625i | 0.000155056 | + | 0.000339524i | 0.909710 | − | 0.415245i | \(-0.136304\pi\) |
−0.909554 | + | 0.415585i | \(0.863577\pi\) | |||||||
\(128\) | 19.0647 | + | 7.63235i | 1.68510 | + | 0.674611i | ||||
\(129\) | −0.503421 | + | 10.5681i | −0.0443238 | + | 0.930470i | ||||
\(130\) | 2.24019 | + | 2.13601i | 0.196477 | + | 0.187341i | ||||
\(131\) | −1.24275 | − | 0.977309i | −0.108579 | − | 0.0853878i | 0.562393 | − | 0.826870i | \(-0.309881\pi\) |
−0.670973 | + | 0.741482i | \(0.734123\pi\) | |||||||
\(132\) | −8.06752 | + | 9.31042i | −0.702188 | + | 0.810368i | ||||
\(133\) | −0.521075 | − | 5.00609i | −0.0451829 | − | 0.434083i | ||||
\(134\) | −15.5551 | − | 17.9515i | −1.34375 | − | 1.55078i | ||||
\(135\) | 0.134840 | − | 0.128570i | 0.0116052 | − | 0.0110655i | ||||
\(136\) | 3.10596 | − | 0.296583i | 0.266334 | − | 0.0254318i | ||||
\(137\) | 4.47727 | + | 7.75486i | 0.382519 | + | 0.662542i | 0.991422 | − | 0.130703i | \(-0.0417233\pi\) |
−0.608903 | + | 0.793245i | \(0.708390\pi\) | |||||||
\(138\) | −8.71477 | − | 7.23555i | −0.741851 | − | 0.615931i | ||||
\(139\) | 8.80158 | 0.746541 | 0.373270 | − | 0.927723i | \(-0.378236\pi\) | ||||
0.373270 | + | 0.927723i | \(0.378236\pi\) | |||||||
\(140\) | −0.641593 | + | 1.64303i | −0.0542245 | + | 0.138862i | ||||
\(141\) | 0.808363 | + | 0.237357i | 0.0680765 | + | 0.0199891i | ||||
\(142\) | 5.74931 | − | 1.10809i | 0.482471 | − | 0.0929887i | ||||
\(143\) | 21.5255 | + | 11.0972i | 1.80005 | + | 0.927991i | ||||
\(144\) | 1.61776 | + | 0.311798i | 0.134813 | + | 0.0259832i | ||||
\(145\) | 1.10416 | + | 0.868323i | 0.0916957 | + | 0.0721103i | ||||
\(146\) | −17.2947 | + | 5.07820i | −1.43132 | + | 0.420274i | ||||
\(147\) | −0.452093 | − | 6.98539i | −0.0372880 | − | 0.576145i | ||||
\(148\) | 0.732524 | + | 5.09482i | 0.0602131 | + | 0.418792i | ||||
\(149\) | −16.6812 | − | 1.59286i | −1.36658 | − | 0.130492i | −0.614160 | − | 0.789181i | \(-0.710505\pi\) |
−0.752415 | + | 0.658689i | \(0.771111\pi\) | |||||||
\(150\) | 6.80245 | − | 9.55270i | 0.555418 | − | 0.779975i | ||||
\(151\) | −3.88214 | + | 3.05295i | −0.315924 | + | 0.248445i | −0.763511 | − | 0.645795i | \(-0.776526\pi\) |
0.447587 | + | 0.894240i | \(0.352284\pi\) | |||||||
\(152\) | 6.30297 | − | 3.24941i | 0.511239 | − | 0.263562i | ||||
\(153\) | −0.803107 | + | 0.235814i | −0.0649274 | + | 0.0190644i | ||||
\(154\) | −1.86258 | + | 21.4330i | −0.150091 | + | 1.72712i | ||||
\(155\) | 1.22224 | − | 1.41054i | 0.0981729 | − | 0.113298i | ||||
\(156\) | −1.19765 | − | 25.1418i | −0.0958890 | − | 2.01296i | ||||
\(157\) | −3.29071 | + | 9.50788i | −0.262627 | + | 0.758811i | 0.734179 | + | 0.678956i | \(0.237567\pi\) |
−0.996806 | + | 0.0798556i | \(0.974554\pi\) | |||||||
\(158\) | 3.71374 | + | 15.3082i | 0.295449 | + | 1.21786i | ||||
\(159\) | 7.21710 | + | 10.1350i | 0.572353 | + | 0.803757i | ||||
\(160\) | 0.664030 | 0.0524962 | ||||||||
\(161\) | −12.6613 | − | 0.831899i | −0.997848 | − | 0.0655628i | ||||
\(162\) | −2.36184 | −0.185564 | ||||||||
\(163\) | −6.05815 | − | 8.50747i | −0.474511 | − | 0.666357i | 0.506066 | − | 0.862495i | \(-0.331099\pi\) |
−0.980576 | + | 0.196138i | \(0.937160\pi\) | |||||||
\(164\) | 1.71657 | + | 7.07578i | 0.134041 | + | 0.552526i | ||||
\(165\) | −0.209795 | + | 0.606163i | −0.0163325 | + | 0.0471897i | ||||
\(166\) | 1.17246 | + | 24.6131i | 0.0910009 | + | 1.91034i | ||||
\(167\) | −3.83708 | + | 4.42823i | −0.296922 | + | 0.342666i | −0.884533 | − | 0.466477i | \(-0.845523\pi\) |
0.587611 | + | 0.809143i | \(0.300068\pi\) | |||||||
\(168\) | 8.93596 | − | 4.17324i | 0.689425 | − | 0.321972i | ||||
\(169\) | −35.0023 | + | 10.2776i | −2.69248 | + | 0.790584i | ||||
\(170\) | 0.327374 | − | 0.168773i | 0.0251084 | − | 0.0129443i | ||||
\(171\) | −1.49534 | + | 1.17595i | −0.114352 | + | 0.0899273i | ||||
\(172\) | −21.9601 | + | 30.8387i | −1.67444 | + | 2.35143i | ||||
\(173\) | −9.97988 | − | 0.952963i | −0.758756 | − | 0.0724524i | −0.291496 | − | 0.956572i | \(-0.594153\pi\) |
−0.467261 | + | 0.884120i | \(0.654759\pi\) | |||||||
\(174\) | −2.53420 | − | 17.6258i | −0.192117 | − | 1.33621i | ||||
\(175\) | −0.111858 | − | 13.1364i | −0.00845570 | − | 0.993022i | ||||
\(176\) | −5.44243 | + | 1.59804i | −0.410239 | + | 0.120457i | ||||
\(177\) | −4.03353 | − | 3.17201i | −0.303179 | − | 0.238423i | ||||
\(178\) | 25.0150 | + | 4.82125i | 1.87495 | + | 0.361368i | ||||
\(179\) | 7.49825 | + | 3.86562i | 0.560446 | + | 0.288930i | 0.715081 | − | 0.699042i | \(-0.246390\pi\) |
−0.154635 | + | 0.987972i | \(0.549420\pi\) | |||||||
\(180\) | 0.654628 | − | 0.126169i | 0.0487931 | − | 0.00940410i | ||||
\(181\) | 10.2331 | + | 3.00472i | 0.760624 | + | 0.223339i | 0.638968 | − | 0.769233i | \(-0.279362\pi\) |
0.121655 | + | 0.992572i | \(0.461180\pi\) | |||||||
\(182\) | −27.4647 | − | 34.3188i | −2.03582 | − | 2.54388i | ||||
\(183\) | −8.42585 | −0.622857 | ||||||||
\(184\) | −5.39693 | − | 17.0431i | −0.397867 | − | 1.25643i | ||||
\(185\) | 0.134001 | + | 0.232096i | 0.00985194 | + | 0.0170641i | ||||
\(186\) | −23.5531 | + | 2.24904i | −1.72699 | + | 0.164908i | ||||
\(187\) | 2.08558 | − | 1.98860i | 0.152513 | − | 0.145421i | ||||
\(188\) | 1.97419 | + | 2.27833i | 0.143982 | + | 0.166164i | ||||
\(189\) | −2.14202 | + | 1.55298i | −0.155809 | + | 0.112963i | ||||
\(190\) | 0.548187 | − | 0.632642i | 0.0397697 | − | 0.0458967i | ||||
\(191\) | −7.63894 | − | 6.00733i | −0.552734 | − | 0.434675i | 0.302325 | − | 0.953205i | \(-0.402237\pi\) |
−0.855060 | + | 0.518530i | \(0.826480\pi\) | |||||||
\(192\) | −8.47699 | − | 8.08279i | −0.611774 | − | 0.583325i | ||||
\(193\) | −0.0649798 | + | 1.36409i | −0.00467735 | + | 0.0981896i | 0.995321 | + | 0.0966192i | \(0.0308029\pi\) |
−0.999999 | + | 0.00157040i | \(0.999500\pi\) | |||||||
\(194\) | −12.0266 | − | 4.81473i | −0.863461 | − | 0.345678i | ||||
\(195\) | −0.544424 | − | 1.19212i | −0.0389870 | − | 0.0853696i | ||||
\(196\) | 12.1528 | − | 21.9023i | 0.868055 | − | 1.56445i | ||||
\(197\) | −2.00380 | − | 13.9367i | −0.142765 | − | 0.992949i | −0.927688 | − | 0.373357i | \(-0.878207\pi\) |
0.784923 | − | 0.619593i | \(-0.212702\pi\) | |||||||
\(198\) | 7.22750 | − | 3.72604i | 0.513636 | − | 0.264798i | ||||
\(199\) | −2.29230 | − | 2.18571i | −0.162497 | − | 0.154941i | 0.604468 | − | 0.796629i | \(-0.293386\pi\) |
−0.766965 | + | 0.641689i | \(0.778234\pi\) | |||||||
\(200\) | 17.1830 | − | 6.87904i | 1.21502 | − | 0.486421i | ||||
\(201\) | 3.28936 | + | 9.50398i | 0.232014 | + | 0.670359i | ||||
\(202\) | 28.6670 | − | 18.4231i | 2.01700 | − | 1.29625i | ||||
\(203\) | −13.8878 | − | 14.3190i | −0.974734 | − | 1.00500i | ||||
\(204\) | −2.87374 | − | 0.843807i | −0.201202 | − | 0.0590783i | ||||
\(205\) | 0.219902 | + | 0.308809i | 0.0153586 | + | 0.0215682i | ||||
\(206\) | −19.2573 | − | 33.3546i | −1.34172 | − | 2.32392i | ||||
\(207\) | 2.28692 | + | 4.21545i | 0.158952 | + | 0.292994i | ||||
\(208\) | 5.79454 | − | 10.0364i | 0.401779 | − | 0.695902i | ||||
\(209\) | 2.72075 | − | 5.95761i | 0.188198 | − | 0.412096i | ||||
\(210\) | 0.796208 | − | 0.849405i | 0.0549436 | − | 0.0586145i | ||||
\(211\) | 3.42287 | + | 3.95020i | 0.235640 | + | 0.271943i | 0.861237 | − | 0.508203i | \(-0.169690\pi\) |
−0.625597 | + | 0.780146i | \(0.715145\pi\) | |||||||
\(212\) | 2.11840 | + | 44.4707i | 0.145492 | + | 3.05426i | ||||
\(213\) | −2.43425 | − | 0.469163i | −0.166792 | − | 0.0321465i | ||||
\(214\) | 3.02882 | − | 1.21256i | 0.207046 | − | 0.0828887i | ||||
\(215\) | −0.464727 | + | 1.91563i | −0.0316941 | + | 0.130645i | ||||
\(216\) | −3.13589 | − | 2.01532i | −0.213371 | − | 0.137125i | ||||
\(217\) | −19.8821 | + | 17.5266i | −1.34969 | + | 1.18978i | ||||
\(218\) | 9.43596 | + | 20.6619i | 0.639084 | + | 1.39940i | ||||
\(219\) | 7.59716 | + | 0.725441i | 0.513368 | + | 0.0490207i | ||||
\(220\) | −1.80419 | + | 1.41883i | −0.121639 | + | 0.0956578i | ||||
\(221\) | −0.280148 | + | 5.88104i | −0.0188448 | + | 0.395602i | ||||
\(222\) | 0.800969 | − | 3.30164i | 0.0537575 | − | 0.221592i | ||||
\(223\) | −0.514012 | + | 3.57503i | −0.0344208 | + | 0.239402i | −0.999767 | − | 0.0215695i | \(-0.993134\pi\) |
0.965347 | + | 0.260971i | \(0.0840428\pi\) | |||||||
\(224\) | −9.34478 | − | 1.26246i | −0.624374 | − | 0.0843516i | ||||
\(225\) | −4.17707 | + | 2.68444i | −0.278471 | + | 0.178962i | ||||
\(226\) | 31.5962 | − | 6.08967i | 2.10175 | − | 0.405079i | ||||
\(227\) | 1.66877 | + | 6.87876i | 0.110760 | + | 0.456560i | 1.00000 | 0.000882393i | \(-0.000280875\pi\) | |
−0.889239 | + | 0.457442i | \(0.848766\pi\) | |||||||
\(228\) | −6.77630 | + | 0.647059i | −0.448772 | + | 0.0428525i | ||||
\(229\) | 3.94583 | − | 6.83438i | 0.260748 | − | 0.451628i | −0.705693 | − | 0.708518i | \(-0.749364\pi\) |
0.966441 | + | 0.256889i | \(0.0826976\pi\) | |||||||
\(230\) | −1.33920 | − | 1.63099i | −0.0883042 | − | 0.107544i | ||||
\(231\) | 4.10485 | − | 8.13156i | 0.270079 | − | 0.535017i | ||||
\(232\) | 11.6750 | − | 25.5647i | 0.766502 | − | 1.67841i | ||||
\(233\) | 19.3597 | − | 18.4594i | 1.26829 | − | 1.20932i | 0.301585 | − | 0.953439i | \(-0.402484\pi\) |
0.966709 | − | 0.255877i | \(-0.0823641\pi\) | |||||||
\(234\) | −5.43379 | + | 15.6999i | −0.355218 | + | 1.02633i | ||||
\(235\) | 0.139517 | + | 0.0719259i | 0.00910107 | + | 0.00469193i | ||||
\(236\) | −6.00546 | − | 17.3516i | −0.390922 | − | 1.12950i | ||||
\(237\) | 0.949168 | − | 6.60161i | 0.0616551 | − | 0.428821i | ||||
\(238\) | −4.92794 | + | 1.75270i | −0.319431 | + | 0.113611i | ||||
\(239\) | −4.12854 | − | 2.65325i | −0.267053 | − | 0.171625i | 0.400261 | − | 0.916401i | \(-0.368920\pi\) |
−0.667314 | + | 0.744777i | \(0.732556\pi\) | |||||||
\(240\) | 0.284967 | + | 0.114084i | 0.0183946 | + | 0.00736407i | ||||
\(241\) | 12.3115 | − | 17.2891i | 0.793053 | − | 1.11369i | −0.197997 | − | 0.980203i | \(-0.563444\pi\) |
0.991051 | − | 0.133485i | \(-0.0426168\pi\) | |||||||
\(242\) | −1.16881 | + | 1.64136i | −0.0751338 | + | 0.105511i | ||||
\(243\) | 0.928368 | + | 0.371662i | 0.0595548 | + | 0.0238422i | ||||
\(244\) | −25.3639 | − | 16.3004i | −1.62375 | − | 1.04352i | ||||
\(245\) | 0.163595 | − | 1.29388i | 0.0104517 | − | 0.0826630i | ||||
\(246\) | 0.683941 | − | 4.75691i | 0.0436065 | − | 0.303290i | ||||
\(247\) | 4.37665 | + | 12.6455i | 0.278480 | + | 0.804614i | ||||
\(248\) | −33.1913 | − | 17.1113i | −2.10765 | − | 1.08657i | ||||
\(249\) | 3.41229 | − | 9.85915i | 0.216245 | − | 0.624799i | ||||
\(250\) | 3.17365 | − | 3.02607i | 0.200719 | − | 0.191386i | ||||
\(251\) | −4.74187 | + | 10.3832i | −0.299304 | + | 0.655384i | −0.998209 | − | 0.0598305i | \(-0.980944\pi\) |
0.698904 | + | 0.715215i | \(0.253671\pi\) | |||||||
\(252\) | −9.45234 | + | 0.530974i | −0.595441 | + | 0.0334482i | ||||
\(253\) | −13.6485 | − | 9.29192i | −0.858076 | − | 0.584178i | ||||
\(254\) | 0.00496738 | − | 0.00860375i | 0.000311681 | − | 0.000539848i | ||||
\(255\) | −0.155239 | + | 0.0148235i | −0.00972145 | + | 0.000928286i | ||||
\(256\) | −5.91196 | − | 24.3695i | −0.369498 | − | 1.52309i | ||||
\(257\) | −13.2460 | + | 2.55295i | −0.826260 | + | 0.159249i | −0.584816 | − | 0.811166i | \(-0.698833\pi\) |
−0.241444 | + | 0.970415i | \(0.577621\pi\) | |||||||
\(258\) | 21.0216 | − | 13.5098i | 1.30875 | − | 0.841083i | ||||
\(259\) | −1.44451 | − | 3.52101i | −0.0897574 | − | 0.218785i | ||||
\(260\) | 0.667390 | − | 4.64180i | 0.0413898 | − | 0.287872i | ||||
\(261\) | −1.77750 | + | 7.32694i | −0.110024 | + | 0.453526i | ||||
\(262\) | −0.177674 | + | 3.72983i | −0.0109767 | + | 0.230430i | ||||
\(263\) | 3.13578 | − | 2.46601i | 0.193361 | − | 0.152061i | −0.516785 | − | 0.856115i | \(-0.672871\pi\) |
0.710146 | + | 0.704055i | \(0.248629\pi\) | |||||||
\(264\) | 12.7756 | + | 1.21992i | 0.786282 | + | 0.0750808i | ||||
\(265\) | 0.962973 | + | 2.10862i | 0.0591550 | + | 0.129531i | ||||
\(266\) | −8.91732 | + | 7.86084i | −0.546756 | + | 0.481979i | ||||
\(267\) | −9.07397 | − | 5.83149i | −0.555318 | − | 0.356881i | ||||
\(268\) | −8.48430 | + | 34.9728i | −0.518261 | + | 2.13630i | ||||
\(269\) | 24.6319 | − | 9.86114i | 1.50184 | − | 0.601244i | 0.532378 | − | 0.846507i | \(-0.321298\pi\) |
0.969457 | + | 0.245262i | \(0.0788741\pi\) | |||||||
\(270\) | −0.432086 | − | 0.0832778i | −0.0262959 | − | 0.00506813i | ||||
\(271\) | −0.414589 | − | 8.70329i | −0.0251845 | − | 0.528687i | −0.975846 | − | 0.218458i | \(-0.929897\pi\) |
0.950662 | − | 0.310229i | \(-0.100406\pi\) | |||||||
\(272\) | −0.903057 | − | 1.04218i | −0.0547559 | − | 0.0631916i | ||||
\(273\) | 5.39511 | + | 17.8116i | 0.326527 | + | 1.07801i | ||||
\(274\) | 8.78569 | − | 19.2380i | 0.530763 | − | 1.16221i | ||||
\(275\) | 8.54734 | − | 14.8044i | 0.515424 | − | 0.892741i | ||||
\(276\) | −1.27088 | + | 17.1137i | −0.0764979 | + | 1.03012i | ||||
\(277\) | 7.92492 | + | 13.7264i | 0.476162 | + | 0.824737i | 0.999627 | − | 0.0273100i | \(-0.00869411\pi\) |
−0.523465 | + | 0.852047i | \(0.675361\pi\) | |||||||
\(278\) | −12.0582 | − | 16.9333i | −0.723201 | − | 1.01559i | ||||
\(279\) | 9.61191 | + | 2.82231i | 0.575450 | + | 0.168967i | ||||
\(280\) | 1.78194 | − | 0.448393i | 0.106491 | − | 0.0267966i | ||||
\(281\) | −16.1821 | + | 10.3996i | −0.965342 | + | 0.620388i | −0.925472 | − | 0.378817i | \(-0.876331\pi\) |
−0.0398706 | + | 0.999205i | \(0.512695\pi\) | |||||||
\(282\) | −0.650808 | − | 1.88039i | −0.0387551 | − | 0.111975i | ||||
\(283\) | −26.2443 | + | 10.5066i | −1.56006 | + | 0.624554i | −0.981564 | − | 0.191132i | \(-0.938784\pi\) |
−0.578496 | + | 0.815685i | \(0.696360\pi\) | |||||||
\(284\) | −6.42006 | − | 6.12151i | −0.380960 | − | 0.363245i | ||||
\(285\) | −0.315029 | + | 0.162409i | −0.0186607 | + | 0.00962028i | ||||
\(286\) | −8.14014 | − | 56.6159i | −0.481336 | − | 3.34777i | ||||
\(287\) | −2.50753 | − | 4.76389i | −0.148015 | − | 0.281204i | ||||
\(288\) | 1.48057 | + | 3.24200i | 0.0872436 | + | 0.191037i | ||||
\(289\) | −15.1319 | − | 6.05788i | −0.890109 | − | 0.356346i | ||||
\(290\) | 0.157860 | − | 3.31390i | 0.00926988 | − | 0.194599i | ||||
\(291\) | 3.96965 | + | 3.78506i | 0.232705 | + | 0.221884i | ||||
\(292\) | 21.4659 | + | 16.8809i | 1.25620 | + | 0.987883i | ||||
\(293\) | −15.9217 | + | 18.3747i | −0.930158 | + | 1.07346i | 0.0669728 | + | 0.997755i | \(0.478666\pi\) |
−0.997130 | + | 0.0757042i | \(0.975880\pi\) | |||||||
\(294\) | −12.8198 | + | 10.4398i | −0.747666 | + | 0.608859i | ||||
\(295\) | −0.626070 | − | 0.722523i | −0.0364512 | − | 0.0420669i | ||||
\(296\) | 3.88071 | − | 3.70025i | 0.225562 | − | 0.215073i | ||||
\(297\) | −3.42725 | + | 0.327263i | −0.198869 | + | 0.0189897i | ||||
\(298\) | 19.7887 | + | 34.2751i | 1.14633 | + | 1.98550i | ||||
\(299\) | 33.2829 | − | 5.50357i | 1.92480 | − | 0.318280i | ||||
\(300\) | −17.7672 | −1.02579 | ||||||||
\(301\) | 10.1820 | − | 26.0748i | 0.586883 | − | 1.50293i | ||||
\(302\) | 11.1921 | + | 3.28629i | 0.644032 | + | 0.189105i | ||||
\(303\) | −14.1672 | + | 2.73051i | −0.813885 | + | 0.156864i | ||||
\(304\) | −2.78577 | − | 1.43616i | −0.159775 | − | 0.0823697i | ||||
\(305\) | −1.54147 | − | 0.297093i | −0.0882641 | − | 0.0170115i | ||||
\(306\) | 1.55394 | + | 1.22203i | 0.0888327 | + | 0.0698588i | ||||
\(307\) | 7.86668 | − | 2.30987i | 0.448975 | − | 0.131831i | −0.0494255 | − | 0.998778i | \(-0.515739\pi\) |
0.498401 | + | 0.866947i | \(0.333921\pi\) | |||||||
\(308\) | 28.0876 | − | 16.5369i | 1.60044 | − | 0.942275i | ||||
\(309\) | 2.32073 | + | 16.1410i | 0.132022 | + | 0.918232i | ||||
\(310\) | −4.38821 | − | 0.419023i | −0.249234 | − | 0.0237989i | ||||
\(311\) | −8.87457 | + | 12.4626i | −0.503231 | + | 0.706689i | −0.985565 | − | 0.169299i | \(-0.945850\pi\) |
0.482334 | + | 0.875987i | \(0.339789\pi\) | |||||||
\(312\) | −20.6111 | + | 16.2087i | −1.16687 | + | 0.917640i | ||||
\(313\) | 3.27701 | − | 1.68942i | 0.185228 | − | 0.0954914i | −0.363118 | − | 0.931743i | \(-0.618288\pi\) |
0.548346 | + | 0.836252i | \(0.315258\pi\) | |||||||
\(314\) | 22.8004 | − | 6.69482i | 1.28670 | − | 0.377810i | ||||
\(315\) | −0.446629 | + | 0.208583i | −0.0251647 | + | 0.0117523i | ||||
\(316\) | 15.6285 | − | 18.0362i | 0.879170 | − | 1.01462i | ||||
\(317\) | 0.218602 | + | 4.58903i | 0.0122779 | + | 0.257745i | 0.996658 | + | 0.0816885i | \(0.0260313\pi\) |
−0.984380 | + | 0.176057i | \(0.943666\pi\) | |||||||
\(318\) | 9.61125 | − | 27.7699i | 0.538972 | − | 1.55726i | ||||
\(319\) | −6.11964 | − | 25.2255i | −0.342634 | − | 1.41236i | ||||
\(320\) | −1.26582 | − | 1.77760i | −0.0707617 | − | 0.0993710i | ||||
\(321\) | −1.38135 | −0.0770994 | ||||||||
\(322\) | 15.7455 | + | 25.4987i | 0.877461 | + | 1.42099i | ||||
\(323\) | 1.59229 | 0.0885972 | ||||||||
\(324\) | 2.07561 | + | 2.91478i | 0.115311 | + | 0.161932i | ||||
\(325\) | 8.23431 | + | 33.9423i | 0.456757 | + | 1.88278i | ||||
\(326\) | −8.06784 | + | 23.3105i | −0.446836 | + | 1.29105i | ||||
\(327\) | −0.457610 | − | 9.60642i | −0.0253059 | − | 0.531236i | ||||
\(328\) | 4.96709 | − | 5.73232i | 0.274261 | − | 0.316515i | ||||
\(329\) | −1.82665 | − | 1.27745i | −0.100706 | − | 0.0704281i | ||||
\(330\) | 1.45361 | − | 0.426820i | 0.0800188 | − | 0.0234956i | ||||
\(331\) | 9.74912 | − | 5.02602i | 0.535860 | − | 0.276255i | −0.168982 | − | 0.985619i | \(-0.554048\pi\) |
0.704842 | + | 0.709364i | \(0.251018\pi\) | |||||||
\(332\) | 29.3450 | − | 23.0771i | 1.61052 | − | 1.26652i | ||||
\(333\) | −0.834388 | + | 1.17173i | −0.0457242 | + | 0.0642106i | ||||
\(334\) | 13.7763 | + | 1.31547i | 0.753803 | + | 0.0719795i | ||||
\(335\) | 0.266664 | + | 1.85469i | 0.0145694 | + | 0.101332i | ||||
\(336\) | −3.79340 | − | 2.14726i | −0.206947 | − | 0.117143i | ||||
\(337\) | 10.8907 | − | 3.19779i | 0.593254 | − | 0.174195i | 0.0286954 | − | 0.999588i | \(-0.490865\pi\) |
0.564558 | + | 0.825393i | \(0.309047\pi\) | |||||||
\(338\) | 67.7261 | + | 53.2604i | 3.68382 | + | 2.89699i | ||||
\(339\) | −13.3778 | − | 2.57836i | −0.726583 | − | 0.140037i | ||||
\(340\) | −0.495984 | − | 0.255698i | −0.0268985 | − | 0.0138672i | ||||
\(341\) | −33.8661 | + | 6.52715i | −1.83395 | + | 0.353465i | ||||
\(342\) | 4.31103 | + | 1.26583i | 0.233114 | + | 0.0684485i | ||||
\(343\) | −4.76218 | + | 17.8975i | −0.257133 | + | 0.966376i | ||||
\(344\) | 39.4388 | 2.12640 | ||||||||
\(345\) | 0.269745 | + | 0.851831i | 0.0145226 | + | 0.0458610i | ||||
\(346\) | 11.8390 | + | 20.5058i | 0.636471 | + | 1.10240i | ||||
\(347\) | −23.8519 | + | 2.27758i | −1.28043 | + | 0.122267i | −0.713007 | − | 0.701157i | \(-0.752667\pi\) |
−0.567427 | + | 0.823423i | \(0.692061\pi\) | |||||||
\(348\) | −19.5251 | + | 18.6172i | −1.04666 | + | 0.997986i | ||||
\(349\) | −22.8982 | − | 26.4260i | −1.22571 | − | 1.41455i | −0.879166 | − | 0.476517i | \(-0.841899\pi\) |
−0.346548 | − | 0.938032i | \(-0.612646\pi\) | |||||||
\(350\) | −25.1199 | + | 18.2121i | −1.34272 | + | 0.973480i | ||||
\(351\) | 4.60642 | − | 5.31609i | 0.245873 | − | 0.283752i | ||||
\(352\) | −9.64531 | − | 7.58516i | −0.514097 | − | 0.404290i | ||||
\(353\) | 10.0914 | + | 9.62216i | 0.537113 | + | 0.512136i | 0.909367 | − | 0.415995i | \(-0.136567\pi\) |
−0.372254 | + | 0.928131i | \(0.621415\pi\) | |||||||
\(354\) | −0.576668 | + | 12.1058i | −0.0306496 | + | 0.643413i | ||||
\(355\) | −0.428791 | − | 0.171662i | −0.0227579 | − | 0.00911088i | ||||
\(356\) | −16.0335 | − | 35.1084i | −0.849771 | − | 1.86074i | ||||
\(357\) | 2.21283 | + | 0.0865326i | 0.117116 | + | 0.00457979i | ||||
\(358\) | −2.83556 | − | 19.7218i | −0.149864 | − | 1.04233i | ||||
\(359\) | −3.76322 | + | 1.94007i | −0.198615 | + | 0.102393i | −0.554665 | − | 0.832074i | \(-0.687154\pi\) |
0.356050 | + | 0.934467i | \(0.384123\pi\) | |||||||
\(360\) | −0.502636 | − | 0.479263i | −0.0264913 | − | 0.0252594i | ||||
\(361\) | −14.2793 | + | 5.71657i | −0.751542 | + | 0.300872i | ||||
\(362\) | −8.23864 | − | 23.8040i | −0.433013 | − | 1.25111i | ||||
\(363\) | 0.717711 | − | 0.461245i | 0.0376700 | − | 0.0242091i | ||||
\(364\) | −18.2171 | + | 64.0544i | −0.954834 | + | 3.35736i | ||||
\(365\) | 1.36428 | + | 0.400589i | 0.0714098 | + | 0.0209678i | ||||
\(366\) | 11.5434 | + | 16.2105i | 0.603385 | + | 0.847335i | ||||
\(367\) | −7.76568 | − | 13.4506i | −0.405365 | − | 0.702114i | 0.588998 | − | 0.808134i | \(-0.299522\pi\) |
−0.994364 | + | 0.106021i | \(0.966189\pi\) | |||||||
\(368\) | −4.75229 | + | 6.31239i | −0.247730 | + | 0.329056i | ||||
\(369\) | −1.01739 | + | 1.76217i | −0.0529633 | + | 0.0917351i | ||||
\(370\) | 0.262948 | − | 0.575776i | 0.0136700 | − | 0.0299332i | ||||
\(371\) | −9.54284 | − | 31.5050i | −0.495439 | − | 1.63566i | ||||
\(372\) | 23.4742 | + | 27.0907i | 1.21708 | + | 1.40459i | ||||
\(373\) | −0.0117032 | − | 0.245680i | −0.000605968 | − | 0.0127208i | 0.998544 | − | 0.0539414i | \(-0.0171784\pi\) |
−0.999150 | + | 0.0412205i | \(0.986875\pi\) | |||||||
\(374\) | −6.68311 | − | 1.28806i | −0.345575 | − | 0.0666042i | ||||
\(375\) | −1.72365 | + | 0.690047i | −0.0890091 | + | 0.0356339i | ||||
\(376\) | 0.740402 | − | 3.05198i | 0.0381833 | − | 0.157394i | ||||
\(377\) | 44.6151 | + | 28.6724i | 2.29780 | + | 1.47670i | ||||
\(378\) | 5.92234 | + | 1.99344i | 0.304613 | + | 0.102531i | ||||
\(379\) | 7.41217 | + | 16.2304i | 0.380738 | + | 0.833699i | 0.998865 | + | 0.0476215i | \(0.0151641\pi\) |
−0.618128 | + | 0.786078i | \(0.712109\pi\) | |||||||
\(380\) | −1.26251 | − | 0.120555i | −0.0647652 | − | 0.00618432i | ||||
\(381\) | −0.00330643 | + | 0.00260020i | −0.000169393 | + | 0.000133212i | ||||
\(382\) | −1.09213 | + | 22.9266i | −0.0558781 | + | 1.17303i | ||||
\(383\) | 0.0269614 | − | 0.111137i | 0.00137766 | − | 0.00567881i | −0.971119 | − | 0.238597i | \(-0.923312\pi\) |
0.972496 | + | 0.232919i | \(0.0748275\pi\) | |||||||
\(384\) | −2.92254 | + | 20.3267i | −0.149140 | + | 1.03729i | ||||
\(385\) | 1.03768 | − | 1.34289i | 0.0528849 | − | 0.0684401i | ||||
\(386\) | 2.71340 | − | 1.74380i | 0.138108 | − | 0.0887568i | ||||
\(387\) | −10.3889 | + | 2.00230i | −0.528097 | + | 0.101782i | ||||
\(388\) | 4.62718 | + | 19.0735i | 0.234909 | + | 0.968309i | ||||
\(389\) | −3.16971 | + | 0.302671i | −0.160711 | + | 0.0153460i | −0.175101 | − | 0.984550i | \(-0.556025\pi\) |
0.0143905 | + | 0.999896i | \(0.495419\pi\) | |||||||
\(390\) | −1.54766 | + | 2.68062i | −0.0783687 | + | 0.135739i | ||||
\(391\) | 0.676454 | − | 3.95676i | 0.0342098 | − | 0.200102i | ||||
\(392\) | −25.9294 | + | 2.92232i | −1.30963 | + | 0.147600i | ||||
\(393\) | 0.656771 | − | 1.43813i | 0.0331297 | − | 0.0725439i | ||||
\(394\) | −24.0676 | + | 22.9484i | −1.21251 | + | 1.15612i | ||||
\(395\) | 0.406416 | − | 1.17426i | 0.0204490 | − | 0.0590836i | ||||
\(396\) | −10.9500 | − | 5.64510i | −0.550256 | − | 0.283677i | ||||
\(397\) | −6.56051 | − | 18.9553i | −0.329262 | − | 0.951341i | −0.981187 | − | 0.193058i | \(-0.938160\pi\) |
0.651925 | − | 0.758283i | \(-0.273962\pi\) | |||||||
\(398\) | −1.06462 | + | 7.40458i | −0.0533645 | + | 0.371158i | ||||
\(399\) | 4.74213 | − | 1.68662i | 0.237403 | − | 0.0844364i | ||||
\(400\) | −6.88186 | − | 4.42270i | −0.344093 | − | 0.221135i | ||||
\(401\) | 12.0194 | + | 4.81185i | 0.600221 | + | 0.240292i | 0.651818 | − | 0.758376i | \(-0.274007\pi\) |
−0.0515965 | + | 0.998668i | \(0.516431\pi\) | |||||||
\(402\) | 13.7783 | − | 19.3488i | 0.687197 | − | 0.965033i | ||||
\(403\) | 40.8746 | − | 57.4003i | 2.03611 | − | 2.85931i | ||||
\(404\) | −47.9291 | − | 19.1879i | −2.38456 | − | 0.954634i | ||||
\(405\) | 0.156735 | + | 0.100728i | 0.00778825 | + | 0.00500520i | ||||
\(406\) | −8.52195 | + | 46.3358i | −0.422937 | + | 2.29961i | ||||
\(407\) | 0.704798 | − | 4.90198i | 0.0349355 | − | 0.242982i | ||||
\(408\) | 1.02048 | + | 2.94848i | 0.0505213 | + | 0.145972i | ||||
\(409\) | 8.84755 | + | 4.56123i | 0.437483 | + | 0.225538i | 0.662875 | − | 0.748730i | \(-0.269336\pi\) |
−0.225392 | + | 0.974268i | \(0.572366\pi\) | |||||||
\(410\) | 0.292851 | − | 0.846137i | 0.0144629 | − | 0.0417877i | ||||
\(411\) | −6.48071 | + | 6.17934i | −0.319670 | + | 0.304804i | ||||
\(412\) | −24.2399 | + | 53.0780i | −1.19422 | + | 2.61497i | ||||
\(413\) | 7.43691 | + | 11.3582i | 0.365946 | + | 0.558902i | ||||
\(414\) | 4.97701 | − | 10.1750i | 0.244607 | − | 0.500072i | ||||
\(415\) | 0.971891 | − | 1.68337i | 0.0477083 | − | 0.0826332i | ||||
\(416\) | 24.9569 | − | 2.38310i | 1.22361 | − | 0.116841i | ||||
\(417\) | 2.07505 | + | 8.55348i | 0.101616 | + | 0.418866i | ||||
\(418\) | −15.1893 | + | 2.92749i | −0.742931 | + | 0.143188i | ||||
\(419\) | 11.4857 | − | 7.38141i | 0.561113 | − | 0.360606i | −0.229133 | − | 0.973395i | \(-0.573589\pi\) |
0.790246 | + | 0.612790i | \(0.209953\pi\) | |||||||
\(420\) | −1.74798 | − | 0.236148i | −0.0852926 | − | 0.0115228i | ||||
\(421\) | −2.50158 | + | 17.3989i | −0.121920 | + | 0.847970i | 0.833458 | + | 0.552583i | \(0.186358\pi\) |
−0.955378 | + | 0.295387i | \(0.904551\pi\) | |||||||
\(422\) | 2.91045 | − | 11.9970i | 0.141678 | − | 0.584006i | ||||
\(423\) | −0.0400873 | + | 0.841536i | −0.00194911 | + | 0.0409169i | ||||
\(424\) | 36.4568 | − | 28.6699i | 1.77050 | − | 1.39233i | ||||
\(425\) | 4.13719 | + | 0.395053i | 0.200683 | + | 0.0191629i | ||||
\(426\) | 2.43230 | + | 5.32600i | 0.117845 | + | 0.258046i | ||||
\(427\) | 21.1280 | + | 7.11159i | 1.02245 | + | 0.344154i | ||||
\(428\) | −4.15819 | − | 2.67231i | −0.200994 | − | 0.129171i | ||||
\(429\) | −5.70952 | + | 23.5350i | −0.275658 | + | 1.13628i | ||||
\(430\) | 4.32215 | − | 1.73033i | 0.208433 | − | 0.0834439i | ||||
\(431\) | −16.7550 | − | 3.22927i | −0.807061 | − | 0.155548i | −0.230999 | − | 0.972954i | \(-0.574199\pi\) |
−0.576062 | + | 0.817406i | \(0.695411\pi\) | |||||||
\(432\) | 0.0783928 | + | 1.64567i | 0.00377168 | + | 0.0791772i | ||||
\(433\) | −14.3300 | − | 16.5377i | −0.688656 | − | 0.794751i | 0.298517 | − | 0.954404i | \(-0.403508\pi\) |
−0.987173 | + | 0.159653i | \(0.948962\pi\) | |||||||
\(434\) | 60.9579 | + | 14.2397i | 2.92607 | + | 0.683529i | ||||
\(435\) | −0.583530 | + | 1.27775i | −0.0279781 | + | 0.0612635i | ||||
\(436\) | 17.2067 | − | 29.8029i | 0.824053 | − | 1.42730i | ||||
\(437\) | −1.91500 | − | 8.92008i | −0.0916070 | − | 0.426705i | ||||
\(438\) | −9.01244 | − | 15.6100i | −0.430631 | − | 0.745875i | ||||
\(439\) | 3.77581 | + | 5.30238i | 0.180209 | + | 0.253069i | 0.894793 | − | 0.446481i | \(-0.147323\pi\) |
−0.714583 | + | 0.699550i | \(0.753384\pi\) | |||||||
\(440\) | 2.29421 | + | 0.673641i | 0.109372 | + | 0.0321146i | ||||
\(441\) | 6.68189 | − | 2.08622i | 0.318185 | − | 0.0993436i | ||||
\(442\) | 11.6983 | − | 7.51805i | 0.556432 | − | 0.357597i | ||||
\(443\) | −0.648416 | − | 1.87348i | −0.0308072 | − | 0.0890115i | 0.928549 | − | 0.371211i | \(-0.121057\pi\) |
−0.959356 | + | 0.282199i | \(0.908936\pi\) | |||||||
\(444\) | −4.77851 | + | 1.91302i | −0.226778 | + | 0.0907881i | ||||
\(445\) | −1.45442 | − | 1.38679i | −0.0689461 | − | 0.0657400i | ||||
\(446\) | 7.58218 | − | 3.90889i | 0.359027 | − | 0.185091i | ||||
\(447\) | −2.38478 | − | 16.5865i | −0.112796 | − | 0.784514i | ||||
\(448\) | 14.4341 | + | 27.4225i | 0.681949 | + | 1.29559i | ||||
\(449\) | 11.7898 | + | 25.8162i | 0.556397 | + | 1.21834i | 0.953730 | + | 0.300665i | \(0.0972088\pi\) |
−0.397332 | + | 0.917675i | \(0.630064\pi\) | |||||||
\(450\) | 10.8872 | + | 4.35856i | 0.513226 | + | 0.205465i | ||||
\(451\) | 0.333332 | − | 6.99750i | 0.0156960 | − | 0.329499i | ||||
\(452\) | −35.2824 | − | 33.6417i | −1.65955 | − | 1.58237i | ||||
\(453\) | −3.88214 | − | 3.05295i | −0.182399 | − | 0.143440i | ||||
\(454\) | 10.9478 | − | 12.6345i | 0.513807 | − | 0.592964i | ||||
\(455\) | 0.358976 | + | 3.44877i | 0.0168291 | + | 0.161681i | ||||
\(456\) | 4.64379 | + | 5.35922i | 0.217466 | + | 0.250969i | ||||
\(457\) | 8.53580 | − | 8.13887i | 0.399288 | − | 0.380720i | −0.463660 | − | 0.886013i | \(-0.653464\pi\) |
0.862948 | + | 0.505293i | \(0.168616\pi\) | |||||||
\(458\) | −18.5544 | + | 1.77173i | −0.866991 | + | 0.0827876i | ||||
\(459\) | −0.418506 | − | 0.724874i | −0.0195342 | − | 0.0338342i | ||||
\(460\) | −0.835926 | + | 3.08605i | −0.0389752 | + | 0.143888i | ||||
\(461\) | −34.2421 | −1.59481 | −0.797407 | − | 0.603442i | \(-0.793796\pi\) | ||||
−0.797407 | + | 0.603442i | \(0.793796\pi\) | |||||||
\(462\) | −21.2679 | + | 3.24294i | −0.989473 | + | 0.150875i | ||||
\(463\) | 1.10474 | + | 0.324381i | 0.0513417 | + | 0.0150753i | 0.307303 | − | 0.951612i | \(-0.400574\pi\) |
−0.255961 | + | 0.966687i | \(0.582392\pi\) | |||||||
\(464\) | −12.1971 | + | 2.35079i | −0.566234 | + | 0.109133i | ||||
\(465\) | 1.65894 | + | 0.855241i | 0.0769313 | + | 0.0396609i | ||||
\(466\) | −62.0368 | − | 11.9566i | −2.87380 | − | 0.553879i | ||||
\(467\) | 26.0805 | + | 20.5099i | 1.20686 | + | 0.949085i | 0.999574 | − | 0.0291954i | \(-0.00929450\pi\) |
0.207286 | + | 0.978280i | \(0.433537\pi\) | |||||||
\(468\) | 24.1508 | − | 7.09130i | 1.11637 | − | 0.327796i | ||||
\(469\) | −0.226568 | − | 26.6077i | −0.0104619 | − | 1.22863i | ||||
\(470\) | −0.0527601 | − | 0.366954i | −0.00243364 | − | 0.0169263i | ||||
\(471\) | −10.0157 | − | 0.956381i | −0.461498 | − | 0.0440677i | ||||
\(472\) | −11.0953 | + | 15.5812i | −0.510702 | + | 0.717181i | ||||
\(473\) | 28.6324 | − | 22.5168i | 1.31652 | − | 1.03532i | ||||
\(474\) | −14.0012 | + | 7.21811i | −0.643095 | + | 0.331539i | ||||
\(475\) | 9.06308 | − | 2.66116i | 0.415842 | − | 0.122102i | ||||
\(476\) | 6.49376 | + | 4.54136i | 0.297641 | + | 0.208153i | ||||
\(477\) | −8.14781 | + | 9.40307i | −0.373062 | + | 0.430537i | ||||
\(478\) | 0.551521 | + | 11.5778i | 0.0252260 | + | 0.529558i | ||||
\(479\) | 7.01488 | − | 20.2682i | 0.320518 | − | 0.926076i | −0.663526 | − | 0.748153i | \(-0.730941\pi\) |
0.984044 | − | 0.177923i | \(-0.0569378\pi\) | |||||||
\(480\) | 0.156551 | + | 0.645312i | 0.00714555 | + | 0.0294543i | ||||
\(481\) | 5.86925 | + | 8.24221i | 0.267615 | + | 0.375812i | ||||
\(482\) | −50.1292 | −2.28332 | ||||||||
\(483\) | −2.17656 | − | 12.5005i | −0.0990369 | − | 0.568793i | ||||
\(484\) | 3.05279 | 0.138763 | ||||||||
\(485\) | 0.592767 | + | 0.832425i | 0.0269162 | + | 0.0377985i | ||||
\(486\) | −0.556825 | − | 2.29526i | −0.0252581 | − | 0.104115i | ||||
\(487\) | −5.89456 | + | 17.0312i | −0.267108 | + | 0.771757i | 0.729072 | + | 0.684437i | \(0.239952\pi\) |
−0.996180 | + | 0.0873209i | \(0.972169\pi\) | |||||||
\(488\) | 1.49448 | + | 31.3730i | 0.0676520 | + | 1.42019i | ||||
\(489\) | 6.83940 | − | 7.89309i | 0.309288 | − | 0.356938i | ||||
\(490\) | −2.71342 | + | 1.45788i | −0.122580 | + | 0.0658602i | ||||
\(491\) | −9.14412 | + | 2.68496i | −0.412668 | + | 0.121170i | −0.481475 | − | 0.876460i | \(-0.659899\pi\) |
0.0688071 | + | 0.997630i | \(0.478081\pi\) | |||||||
\(492\) | −6.47163 | + | 3.33636i | −0.291764 | + | 0.150415i | ||||
\(493\) | 4.96049 | − | 3.90097i | 0.223409 | − | 0.175691i | ||||
\(494\) | 18.3326 | − | 25.7446i | 0.824824 | − | 1.15830i | ||||
\(495\) | −0.638537 | − | 0.0609729i | −0.0287001 | − | 0.00274053i | ||||
\(496\) | 2.34884 | + | 16.3365i | 0.105466 | + | 0.733531i | ||||
\(497\) | 5.70794 | + | 3.23099i | 0.256036 | + | 0.144930i | ||||
\(498\) | −23.6428 | + | 6.94216i | −1.05946 | + | 0.311086i | ||||
\(499\) | 31.7417 | + | 24.9620i | 1.42095 | + | 1.11745i | 0.974951 | + | 0.222419i | \(0.0713953\pi\) |
0.446003 | + | 0.895032i | \(0.352847\pi\) | |||||||
\(500\) | −6.52356 | − | 1.25731i | −0.291742 | − | 0.0562287i | ||||
\(501\) | −5.20803 | − | 2.68492i | −0.232677 | − | 0.119954i | ||||
\(502\) | 26.4727 | − | 5.10219i | 1.18153 | − | 0.227722i | ||||
\(503\) | −24.7881 | − | 7.27843i | −1.10524 | − | 0.324529i | −0.322311 | − | 0.946634i | \(-0.604460\pi\) |
−0.782934 | + | 0.622105i | \(0.786278\pi\) | |||||||
\(504\) | 6.16233 | + | 7.70020i | 0.274492 | + | 0.342994i | ||||
\(505\) | −2.68810 | −0.119619 | ||||||||
\(506\) | 0.821799 | + | 38.9883i | 0.0365334 | + | 1.73324i | ||||
\(507\) | −18.2400 | − | 31.5926i | −0.810066 | − | 1.40308i | ||||
\(508\) | −0.0149834 | + | 0.00143074i | −0.000664781 | + | 6.34789e-5i | ||||
\(509\) | 22.9791 | − | 21.9105i | 1.01853 | − | 0.971166i | 0.0189403 | − | 0.999821i | \(-0.493971\pi\) |
0.999589 | + | 0.0286545i | \(0.00912227\pi\) | |||||||
\(510\) | 0.241197 | + | 0.278356i | 0.0106804 | + | 0.0123258i | ||||
\(511\) | −18.4377 | − | 8.23121i | −0.815636 | − | 0.364127i | ||||
\(512\) | −11.8889 | + | 13.7205i | −0.525418 | + | 0.606365i | ||||
\(513\) | −1.49534 | − | 1.17595i | −0.0660211 | − | 0.0519196i | ||||
\(514\) | 23.0586 | + | 21.9863i | 1.01707 | + | 0.969775i | ||||
\(515\) | −0.144563 | + | 3.03475i | −0.00637020 | + | 0.133727i | ||||
\(516\) | −35.1467 | − | 14.0706i | −1.54725 | − | 0.619424i | ||||
\(517\) | −1.20494 | − | 2.63844i | −0.0529930 | − | 0.116038i | ||||
\(518\) | −4.79509 | + | 7.60288i | −0.210684 | + | 0.334051i | ||||
\(519\) | −1.42675 | − | 9.92323i | −0.0626272 | − | 0.435582i | ||||
\(520\) | −4.34221 | + | 2.23857i | −0.190419 | + | 0.0981676i | ||||
\(521\) | −22.3033 | − | 21.2661i | −0.977125 | − | 0.931687i | 0.0205535 | − | 0.999789i | \(-0.493457\pi\) |
−0.997678 | + | 0.0681021i | \(0.978306\pi\) | |||||||
\(522\) | 16.5315 | − | 6.61820i | 0.723562 | − | 0.289671i | ||||
\(523\) | −0.516103 | − | 1.49118i | −0.0225676 | − | 0.0652048i | 0.933154 | − | 0.359476i | \(-0.117044\pi\) |
−0.955722 | + | 0.294271i | \(0.904923\pi\) | |||||||
\(524\) | 4.75919 | − | 3.05854i | 0.207906 | − | 0.133613i | ||||
\(525\) | 12.7398 | − | 3.20574i | 0.556009 | − | 0.139910i | ||||
\(526\) | −9.04037 | − | 2.65449i | −0.394179 | − | 0.115741i | ||||
\(527\) | −4.86374 | − | 6.83017i | −0.211868 | − | 0.297527i | ||||
\(528\) | −2.83610 | − | 4.91227i | −0.123425 | − | 0.213779i | ||||
\(529\) | −22.9796 | + | 0.969162i | −0.999112 | + | 0.0421375i | ||||
\(530\) | 2.73749 | − | 4.74147i | 0.118909 | − | 0.205956i | ||||
\(531\) | 2.13165 | − | 4.66766i | 0.0925057 | − | 0.202559i | ||||
\(532\) | 17.5378 | + | 4.09683i | 0.760361 | + | 0.177620i | ||||
\(533\) | 9.37307 | + | 10.8171i | 0.405993 | + | 0.468540i | ||||
\(534\) | 1.21217 | + | 25.4465i | 0.0524556 | + | 1.10118i | ||||
\(535\) | −0.252711 | − | 0.0487060i | −0.0109256 | − | 0.00210574i | ||||
\(536\) | 34.8039 | − | 13.9334i | 1.50330 | − | 0.601831i | ||||
\(537\) | −1.98887 | + | 8.19824i | −0.0858262 | + | 0.353780i | ||||
\(538\) | −52.7176 | − | 33.8795i | −2.27282 | − | 1.46065i | ||||
\(539\) | −17.1562 | + | 16.9254i | −0.738968 | + | 0.729030i | ||||
\(540\) | 0.276947 | + | 0.606430i | 0.0119179 | + | 0.0260966i | ||||
\(541\) | −28.7263 | − | 2.74303i | −1.23504 | − | 0.117932i | −0.542963 | − | 0.839757i | \(-0.682698\pi\) |
−0.692076 | + | 0.721825i | \(0.743304\pi\) | |||||||
\(542\) | −16.1762 | + | 12.7211i | −0.694829 | + | 0.546420i | ||||
\(543\) | −0.507469 | + | 10.6531i | −0.0217776 | + | 0.457167i | ||||
\(544\) | 0.703311 | − | 2.89909i | 0.0301542 | − | 0.124297i | ||||
\(545\) | 0.255002 | − | 1.77358i | 0.0109231 | − | 0.0759718i | ||||
\(546\) | 26.8763 | − | 34.7815i | 1.15020 | − | 1.48851i | ||||
\(547\) | −10.1806 | + | 6.54268i | −0.435291 | + | 0.279745i | −0.739879 | − | 0.672739i | \(-0.765117\pi\) |
0.304588 | + | 0.952484i | \(0.401481\pi\) | |||||||
\(548\) | −31.4628 | + | 6.06396i | −1.34403 | + | 0.259040i | ||||
\(549\) | −1.98647 | − | 8.18834i | −0.0847805 | − | 0.349470i | ||||
\(550\) | −40.1921 | + | 3.83788i | −1.71380 | + | 0.163648i | ||||
\(551\) | 7.17134 | − | 12.4211i | 0.305509 | − | 0.529158i | ||||
\(552\) | 15.2903 | − | 9.26285i | 0.650797 | − | 0.394253i | ||||
\(553\) | −7.95195 | + | 15.7525i | −0.338151 | + | 0.669865i | ||||
\(554\) | 15.5510 | − | 34.0519i | 0.660697 | − | 1.44673i | ||||
\(555\) | −0.193962 | + | 0.184942i | −0.00823323 | + | 0.00785037i | ||||
\(556\) | −10.3009 | + | 29.7624i | −0.436854 | + | 1.26221i | ||||
\(557\) | −40.8682 | − | 21.0690i | −1.73164 | − | 0.892724i | −0.969420 | − | 0.245409i | \(-0.921078\pi\) |
−0.762223 | − | 0.647314i | \(-0.775892\pi\) | |||||||
\(558\) | −7.73849 | − | 22.3589i | −0.327596 | − | 0.946528i | ||||
\(559\) | −10.5914 | + | 73.6650i | −0.447970 | + | 3.11570i | ||||
\(560\) | −0.618270 | − | 0.526584i | −0.0261267 | − | 0.0222523i | ||||
\(561\) | 2.42424 | + | 1.55796i | 0.102351 | + | 0.0657773i | ||||
\(562\) | 42.1772 | + | 16.8852i | 1.77914 | + | 0.712260i | ||||
\(563\) | 3.77913 | − | 5.30705i | 0.159271 | − | 0.223666i | −0.727227 | − | 0.686397i | \(-0.759191\pi\) |
0.886498 | + | 0.462732i | \(0.153131\pi\) | |||||||
\(564\) | −1.74868 | + | 2.45567i | −0.0736326 | + | 0.103403i | ||||
\(565\) | −2.35649 | − | 0.943396i | −0.0991382 | − | 0.0396890i | ||||
\(566\) | 56.1683 | + | 36.0972i | 2.36093 | + | 1.51728i | ||||
\(567\) | −2.01421 | − | 1.71551i | −0.0845887 | − | 0.0720447i | ||||
\(568\) | −1.31513 | + | 9.14696i | −0.0551818 | + | 0.383798i | ||||
\(569\) | −7.13525 | − | 20.6160i | −0.299125 | − | 0.864266i | −0.989972 | − | 0.141265i | \(-0.954883\pi\) |
0.690846 | − | 0.723002i | \(-0.257238\pi\) | |||||||
\(570\) | 0.744049 | + | 0.383584i | 0.0311648 | + | 0.0160666i | ||||
\(571\) | 0.826372 | − | 2.38764i | 0.0345826 | − | 0.0999198i | −0.926388 | − | 0.376570i | \(-0.877103\pi\) |
0.960971 | + | 0.276651i | \(0.0892245\pi\) | |||||||
\(572\) | −62.7169 | + | 59.8005i | −2.62233 | + | 2.50038i | ||||
\(573\) | 4.03704 | − | 8.83989i | 0.168650 | − | 0.369292i | ||||
\(574\) | −5.72992 | + | 11.3508i | −0.239162 | + | 0.473772i | ||||
\(575\) | −2.76258 | − | 23.6519i | −0.115208 | − | 0.986352i | ||||
\(576\) | 5.85643 | − | 10.1436i | 0.244018 | − | 0.422651i | ||||
\(577\) | 13.8409 | − | 1.32165i | 0.576205 | − | 0.0550209i | 0.197114 | − | 0.980381i | \(-0.436843\pi\) |
0.379090 | + | 0.925360i | \(0.376237\pi\) | |||||||
\(578\) | 9.07591 | + | 37.4114i | 0.377508 | + | 1.55611i | ||||
\(579\) | −1.34096 | + | 0.258449i | −0.0557285 | + | 0.0107408i | ||||
\(580\) | −4.22846 | + | 2.71747i | −0.175577 | + | 0.112837i | ||||
\(581\) | −16.8777 | + | 21.8419i | −0.700204 | + | 0.906156i | ||||
\(582\) | 1.84363 | − | 12.8227i | 0.0764209 | − | 0.531519i | ||||
\(583\) | 10.0990 | − | 41.6285i | 0.418256 | − | 1.72408i | ||||
\(584\) | 1.35363 | − | 28.4161i | 0.0560134 | − | 1.17587i | ||||
\(585\) | 1.03016 | − | 0.810131i | 0.0425921 | − | 0.0334948i | ||||
\(586\) | 57.1637 | + | 5.45847i | 2.36141 | + | 0.225488i | ||||
\(587\) | −11.1580 | − | 24.4326i | −0.460539 | − | 1.00844i | −0.987364 | − | 0.158466i | \(-0.949345\pi\) |
0.526825 | − | 0.849974i | \(-0.323382\pi\) | |||||||
\(588\) | 24.1500 | + | 6.64654i | 0.995931 | + | 0.274099i | ||||
\(589\) | −16.0319 | − | 10.3031i | −0.660582 | − | 0.424530i | ||||
\(590\) | −0.532344 | + | 2.19435i | −0.0219163 | + | 0.0903400i | ||||
\(591\) | 13.0714 | − | 5.23302i | 0.537687 | − | 0.215258i | ||||
\(592\) | −2.32708 | − | 0.448508i | −0.0956425 | − | 0.0184336i | ||||
\(593\) | −0.345173 | − | 7.24608i | −0.0141746 | − | 0.297561i | −0.994812 | − | 0.101729i | \(-0.967562\pi\) |
0.980638 | − | 0.195832i | \(-0.0627406\pi\) | |||||||
\(594\) | 5.32495 | + | 6.14533i | 0.218486 | + | 0.252146i | ||||
\(595\) | 0.401776 | + | 0.0938547i | 0.0164712 | + | 0.00384767i | ||||
\(596\) | 24.9089 | − | 54.5429i | 1.02031 | − | 2.23416i | ||||
\(597\) | 1.58366 | − | 2.74299i | 0.0648151 | − | 0.112263i | ||||
\(598\) | −56.1859 | − | 56.4929i | −2.29761 | − | 2.31017i | ||||
\(599\) | 14.9234 | + | 25.8480i | 0.609752 | + | 1.05612i | 0.991281 | + | 0.131765i | \(0.0420645\pi\) |
−0.381529 | + | 0.924357i | \(0.624602\pi\) | |||||||
\(600\) | 10.7362 | + | 15.0769i | 0.438303 | + | 0.615510i | ||||
\(601\) | 20.4473 | + | 6.00386i | 0.834061 | + | 0.244902i | 0.670761 | − | 0.741674i | \(-0.265968\pi\) |
0.163301 | + | 0.986576i | \(0.447786\pi\) | |||||||
\(602\) | −64.1146 | + | 16.1333i | −2.61312 | + | 0.657545i | ||||
\(603\) | −8.46058 | + | 5.43729i | −0.344542 | + | 0.221423i | ||||
\(604\) | −5.78005 | − | 16.7003i | −0.235187 | − | 0.679527i | ||||
\(605\) | 0.147565 | − | 0.0590760i | 0.00599936 | − | 0.00240178i | ||||
\(606\) | 24.6623 | + | 23.5155i | 1.00184 | + | 0.955251i | ||||
\(607\) | −20.1463 | + | 10.3861i | −0.817713 | + | 0.421560i | −0.815726 | − | 0.578438i | \(-0.803663\pi\) |
−0.00198614 | + | 0.999998i | \(0.500632\pi\) | |||||||
\(608\) | −0.964911 | − | 6.71110i | −0.0391323 | − | 0.272171i | ||||
\(609\) | 10.6412 | − | 16.8722i | 0.431203 | − | 0.683695i | ||||
\(610\) | 1.54023 | + | 3.37264i | 0.0623622 | + | 0.136554i | ||||
\(611\) | 5.50173 | + | 2.20256i | 0.222576 | + | 0.0891061i | ||||
\(612\) | 0.142511 | − | 2.99167i | 0.00576066 | − | 0.120931i | ||||
\(613\) | 25.8949 | + | 24.6907i | 1.04588 | + | 0.997248i | 0.999999 | − | 0.00169849i | \(-0.000540646\pi\) |
0.0458853 | + | 0.998947i | \(0.485389\pi\) | |||||||
\(614\) | −15.2213 | − | 11.9702i | −0.614282 | − | 0.483076i | ||||
\(615\) | −0.248260 | + | 0.286508i | −0.0100108 | + | 0.0115531i | ||||
\(616\) | −31.0053 | − | 13.8418i | −1.24924 | − | 0.557702i | ||||
\(617\) | 28.4799 | + | 32.8675i | 1.14656 | + | 1.32320i | 0.938580 | + | 0.345063i | \(0.112142\pi\) |
0.207976 | + | 0.978134i | \(0.433312\pi\) | |||||||
\(618\) | 27.8743 | − | 26.5781i | 1.12127 | − | 1.06913i | ||||
\(619\) | 13.0848 | − | 1.24945i | 0.525922 | − | 0.0502195i | 0.171281 | − | 0.985222i | \(-0.445209\pi\) |
0.354641 | + | 0.935003i | \(0.384603\pi\) | |||||||
\(620\) | 3.33928 | + | 5.78380i | 0.134109 | + | 0.232283i | ||||
\(621\) | −3.55746 | + | 3.21628i | −0.142756 | + | 0.129065i | ||||
\(622\) | 36.1349 | 1.44888 | ||||||||
\(623\) | 17.8312 | + | 22.2811i | 0.714393 | + | 0.892675i | ||||
\(624\) | 11.1196 | + | 3.26502i | 0.445142 | + | 0.130705i | ||||
\(625\) | 24.0381 | − | 4.63297i | 0.961525 | − | 0.185319i | ||||
\(626\) | −7.73977 | − | 3.99013i | −0.309343 | − | 0.159478i | ||||
\(627\) | 6.43111 | + | 1.23950i | 0.256834 | + | 0.0495007i | ||||
\(628\) | −28.2994 | − | 22.2549i | −1.12927 | − | 0.888068i | ||||
\(629\) | 1.15524 | − | 0.339208i | 0.0460623 | − | 0.0135251i | ||||
\(630\) | 1.01317 | + | 0.573510i | 0.0403658 | + | 0.0228492i | ||||
\(631\) | −4.11620 | − | 28.6288i | −0.163863 | − | 1.13969i | −0.891265 | − | 0.453482i | \(-0.850182\pi\) |
0.727402 | − | 0.686211i | \(-0.240727\pi\) | |||||||
\(632\) | −24.7489 | − | 2.36324i | −0.984460 | − | 0.0940045i | ||||
\(633\) | −3.03188 | + | 4.25768i | −0.120506 | + | 0.169228i | ||||
\(634\) | 8.52933 | − | 6.70754i | 0.338743 | − | 0.266390i | ||||
\(635\) | −0.000696576 | 0 | 0.000359110i | −2.76428e−5 | 0 | 1.42508e-5i | ||||
\(636\) | −42.7177 | + | 12.5431i | −1.69387 | + | 0.497364i | ||||
\(637\) | 1.50502 | − | 49.2164i | 0.0596309 | − | 1.95002i | ||||
\(638\) | −40.1473 | + | 46.3325i | −1.58945 | + | 1.83432i | ||||
\(639\) | −0.117958 | − | 2.47624i | −0.00466635 | − | 0.0979586i | ||||
\(640\) | −1.25138 | + | 3.61561i | −0.0494650 | + | 0.142920i | ||||
\(641\) | 5.84220 | + | 24.0819i | 0.230753 | + | 0.951177i | 0.962863 | + | 0.269991i | \(0.0870206\pi\) |
−0.732110 | + | 0.681187i | \(0.761464\pi\) | |||||||
\(642\) | 1.89245 | + | 2.65757i | 0.0746890 | + | 0.104886i | ||||
\(643\) | −2.34196 | −0.0923578 | −0.0461789 | − | 0.998933i | \(-0.514704\pi\) | ||||
−0.0461789 | + | 0.998933i | \(0.514704\pi\) | |||||||
\(644\) | 17.6311 | − | 41.8402i | 0.694761 | − | 1.64874i | ||||
\(645\) | −1.97120 | −0.0776158 | ||||||||
\(646\) | −2.18143 | − | 3.06339i | −0.0858273 | − | 0.120528i | ||||
\(647\) | 1.96244 | + | 8.08929i | 0.0771515 | + | 0.318023i | 0.997290 | − | 0.0735702i | \(-0.0234393\pi\) |
−0.920139 | + | 0.391593i | \(0.871924\pi\) | |||||||
\(648\) | 1.21919 | − | 3.52263i | 0.0478944 | − | 0.138382i | ||||
\(649\) | 0.840606 | + | 17.6465i | 0.0329967 | + | 0.692685i | ||||
\(650\) | 54.0205 | − | 62.3429i | 2.11886 | − | 2.44529i | ||||
\(651\) | −21.7199 | − | 15.1896i | −0.851271 | − | 0.595329i | ||||
\(652\) | 35.8579 | − | 10.5288i | 1.40431 | − | 0.412341i | ||||
\(653\) | −38.5270 | + | 19.8620i | −1.50768 | + | 0.777261i | −0.996609 | − | 0.0822797i | \(-0.973780\pi\) |
−0.511067 | + | 0.859541i | \(0.670750\pi\) | |||||||
\(654\) | −17.8548 | + | 14.0412i | −0.698179 | + | 0.549054i | ||||
\(655\) | 0.170861 | − | 0.239940i | 0.00667608 | − | 0.00937525i | ||||
\(656\) | −3.33719 | − | 0.318663i | −0.130296 | − | 0.0124417i | ||||
\(657\) | 1.08611 | + | 7.55404i | 0.0423730 | + | 0.294711i | ||||
\(658\) | 0.0448270 | + | 5.26439i | 0.00174754 | + | 0.205227i | ||||
\(659\) | 12.5347 | − | 3.68051i | 0.488281 | − | 0.143372i | −0.0283192 | − | 0.999599i | \(-0.509015\pi\) |
0.516600 | + | 0.856227i | \(0.327197\pi\) | |||||||
\(660\) | −1.80419 | − | 1.41883i | −0.0702282 | − | 0.0552281i | ||||
\(661\) | −19.6769 | − | 3.79242i | −0.765344 | − | 0.147508i | −0.208384 | − | 0.978047i | \(-0.566820\pi\) |
−0.556960 | + | 0.830539i | \(0.688032\pi\) | |||||||
\(662\) | −23.0258 | − | 11.8706i | −0.894925 | − | 0.461366i | ||||
\(663\) | −5.78131 | + | 1.11426i | −0.224527 | + | 0.0432741i | ||||
\(664\) | −37.3150 | − | 10.9567i | −1.44810 | − | 0.425202i | ||||
\(665\) | 0.927017 | − | 0.141352i | 0.0359482 | − | 0.00548138i | ||||
\(666\) | 3.39741 | 0.131647 | ||||||||
\(667\) | −27.8193 | − | 23.0974i | −1.07717 | − | 0.894333i | ||||
\(668\) | −10.4833 | − | 18.1575i | −0.405609 | − | 0.702536i | ||||
\(669\) | −3.59544 | + | 0.343323i | −0.139008 | + | 0.0132736i | ||||
\(670\) | 3.20290 | − | 3.05395i | 0.123739 | − | 0.117985i | ||||
\(671\) | 18.9968 | + | 21.9234i | 0.733362 | + | 0.846345i | ||||
\(672\) | −0.976243 | − | 9.37900i | −0.0376594 | − | 0.361803i | ||||
\(673\) | −18.4357 | + | 21.2759i | −0.710644 | + | 0.820127i | −0.990149 | − | 0.140017i | \(-0.955284\pi\) |
0.279505 | + | 0.960144i | \(0.409830\pi\) | |||||||
\(674\) | −21.0725 | − | 16.5716i | −0.811682 | − | 0.638313i | ||||
\(675\) | −3.59355 | − | 3.42644i | −0.138316 | − | 0.131884i | ||||
\(676\) | 6.21113 | − | 130.388i | 0.238890 | − | 5.01491i | ||||
\(677\) | 25.3252 | + | 10.1387i | 0.973325 | + | 0.389660i | 0.803165 | − | 0.595756i | \(-0.203148\pi\) |
0.170159 | + | 0.985417i | \(0.445572\pi\) | |||||||
\(678\) | 13.3671 | + | 29.2699i | 0.513361 | + | 1.12410i | ||||
\(679\) | −6.75930 | − | 12.8415i | −0.259398 | − | 0.492813i | ||||
\(680\) | 0.0827288 | + | 0.575391i | 0.00317250 | + | 0.0220653i | ||||
\(681\) | −6.29144 | + | 3.24346i | −0.241088 | + | 0.124290i | ||||
\(682\) | 58.9541 | + | 56.2126i | 2.25747 | + | 2.15249i | ||||
\(683\) | 28.2458 | − | 11.3079i | 1.08080 | − | 0.432686i | 0.238192 | − | 0.971218i | \(-0.423445\pi\) |
0.842605 | + | 0.538533i | \(0.181021\pi\) | |||||||
\(684\) | −2.22639 | − | 6.43274i | −0.0851283 | − | 0.245962i | ||||
\(685\) | −1.40349 | + | 0.901971i | −0.0536247 | + | 0.0344625i | ||||
\(686\) | 40.9572 | − | 15.3577i | 1.56375 | − | 0.586360i | ||||
\(687\) | 7.57199 | + | 2.22334i | 0.288890 | + | 0.0848256i | ||||
\(688\) | −10.1110 | − | 14.1989i | −0.385479 | − | 0.541329i | ||||
\(689\) | 43.7599 | + | 75.7944i | 1.66712 | + | 2.88754i | ||||
\(690\) | 1.26928 | − | 1.68597i | 0.0483208 | − | 0.0641838i | ||||
\(691\) | −3.56499 | + | 6.17475i | −0.135619 | + | 0.234898i | −0.925834 | − | 0.377931i | \(-0.876636\pi\) |
0.790215 | + | 0.612830i | \(0.209969\pi\) | |||||||
\(692\) | 14.9023 | − | 32.6315i | 0.566500 | − | 1.24046i | ||||
\(693\) | 8.87010 | + | 2.07205i | 0.336947 | + | 0.0787107i | ||||
\(694\) | 37.0589 | + | 42.7682i | 1.40674 | + | 1.62346i | ||||
\(695\) | 0.0780267 | + | 1.63798i | 0.00295972 | + | 0.0621322i | ||||
\(696\) | 27.5966 | + | 5.31881i | 1.04605 | + | 0.201609i | ||||
\(697\) | 1.58114 | − | 0.632992i | 0.0598899 | − | 0.0239763i | ||||
\(698\) | −19.4702 | + | 80.2574i | −0.736959 | + | 3.03779i | ||||
\(699\) | 22.5033 | + | 14.4620i | 0.851152 | + | 0.547002i | ||||
\(700\) | 44.5515 | + | 14.9959i | 1.68389 | + | 0.566791i | ||||
\(701\) | −12.2968 | − | 26.9262i | −0.464442 | − | 1.01699i | −0.986452 | − | 0.164048i | \(-0.947545\pi\) |
0.522010 | − | 0.852939i | \(-0.325182\pi\) | |||||||
\(702\) | −16.5384 | − | 1.57923i | −0.624202 | − | 0.0596041i | ||||
\(703\) | 2.15099 | − | 1.69156i | 0.0811262 | − | 0.0637983i | ||||
\(704\) | −1.91876 | + | 40.2798i | −0.0723161 | + | 1.51810i | ||||
\(705\) | −0.0370061 | + | 0.152541i | −0.00139373 | + | 0.00574503i | ||||
\(706\) | 4.68678 | − | 32.5973i | 0.176389 | − | 1.22681i | ||||
\(707\) | 37.8291 | + | 5.11063i | 1.42271 | + | 0.192205i | ||||
\(708\) | 15.4467 | − | 9.92698i | 0.580522 | − | 0.373079i | ||||
\(709\) | −6.45632 | + | 1.24435i | −0.242472 | + | 0.0467327i | −0.309039 | − | 0.951049i | \(-0.600007\pi\) |
0.0665671 | + | 0.997782i | \(0.478795\pi\) | |||||||
\(710\) | 0.257184 | + | 1.06013i | 0.00965194 | + | 0.0397859i | ||||
\(711\) | 6.63930 | − | 0.633976i | 0.248993 | − | 0.0237760i | ||||
\(712\) | −20.1037 | + | 34.8205i | −0.753416 | + | 1.30496i | ||||
\(713\) | −32.4135 | + | 35.4614i | −1.21390 | + | 1.32804i | ||||
\(714\) | −2.86511 | − | 4.37582i | −0.107224 | − | 0.163761i | ||||
\(715\) | −1.87436 | + | 4.10428i | −0.0700972 | + | 0.153492i | ||||
\(716\) | −21.8470 | + | 20.8311i | −0.816461 | + | 0.778494i | ||||
\(717\) | 1.60512 | − | 4.63769i | 0.0599443 | − | 0.173198i | ||||
\(718\) | 8.88812 | + | 4.58214i | 0.331702 | + | 0.171004i | ||||
\(719\) | 1.61510 | + | 4.66654i | 0.0602332 | + | 0.174033i | 0.971103 | − | 0.238662i | \(-0.0767089\pi\) |
−0.910869 | + | 0.412695i | \(0.864588\pi\) | |||||||
\(720\) | −0.0436843 | + | 0.303831i | −0.00162802 | + | 0.0113231i | ||||
\(721\) | 7.80409 | − | 42.4326i | 0.290640 | − | 1.58027i | ||||
\(722\) | 30.5607 | + | 19.6402i | 1.13735 | + | 0.730933i | ||||
\(723\) | 19.7043 | + | 7.88840i | 0.732810 | + | 0.293373i | ||||
\(724\) | −22.1367 | + | 31.0866i | −0.822703 | + | 1.15532i | ||||
\(725\) | 21.7148 | − | 30.4942i | 0.806467 | − | 1.13252i | ||||
\(726\) | −1.87065 | − | 0.748896i | −0.0694264 | − | 0.0277941i | ||||
\(727\) | 27.6576 | + | 17.7744i | 1.02576 | + | 0.659218i | 0.941426 | − | 0.337220i | \(-0.109486\pi\) |
0.0843368 | + | 0.996437i | \(0.473123\pi\) | |||||||
\(728\) | 65.3631 | − | 23.2475i | 2.42252 | − | 0.861609i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | −1.09838 | − | 3.17355i | −0.0406527 | − | 0.117458i | ||||
\(731\) | 7.87123 | + | 4.05790i | 0.291128 | + | 0.150087i | ||||
\(732\) | 9.86112 | − | 28.4918i | 0.364478 | − | 1.05309i | ||||
\(733\) | −32.5747 | + | 31.0599i | −1.20317 | + | 1.14722i | −0.217949 | + | 0.975960i | \(0.569937\pi\) |
−0.985225 | + | 0.171264i | \(0.945215\pi\) | |||||||
\(734\) | −15.2385 | + | 33.3677i | −0.562463 | + | 1.23162i | ||||
\(735\) | 1.29598 | − | 0.146061i | 0.0478029 | − | 0.00538753i | ||||
\(736\) | −17.0867 | − | 0.453330i | −0.629825 | − | 0.0167100i | ||||
\(737\) | 17.3125 | − | 29.9862i | 0.637715 | − | 1.10455i | ||||
\(738\) | 4.78407 | − | 0.456823i | 0.176104 | − | 0.0168159i | ||||
\(739\) | −9.89708 | − | 40.7963i | −0.364070 | − | 1.50072i | −0.799595 | − | 0.600540i | \(-0.794952\pi\) |
0.435525 | − | 0.900177i | \(-0.356563\pi\) | |||||||
\(740\) | −0.941656 | + | 0.181489i | −0.0346160 | + | 0.00667168i | ||||
\(741\) | −11.2572 | + | 7.23457i | −0.413544 | + | 0.265769i | ||||
\(742\) | −47.5387 | + | 61.5213i | −1.74520 | + | 2.25852i | ||||
\(743\) | −3.35232 | + | 23.3159i | −0.122985 | + | 0.855376i | 0.831161 | + | 0.556032i | \(0.187677\pi\) |
−0.954145 | + | 0.299344i | \(0.903232\pi\) | |||||||
\(744\) | 8.80381 | − | 36.2898i | 0.322763 | − | 1.33045i | ||||
\(745\) | 0.148553 | − | 3.11850i | 0.00544254 | − | 0.114253i | ||||
\(746\) | −0.456630 | + | 0.359098i | −0.0167184 | + | 0.0131475i | ||||
\(747\) | 10.3857 | + | 0.991716i | 0.379994 | + | 0.0362850i | ||||
\(748\) | 4.28356 | + | 9.37969i | 0.156623 | + | 0.342956i | ||||
\(749\) | 3.46375 | + | 1.16589i | 0.126563 | + | 0.0426005i | ||||
\(750\) | 3.68899 | + | 2.37077i | 0.134703 | + | 0.0865682i | ||||
\(751\) | 2.76623 | − | 11.4026i | 0.100941 | − | 0.416085i | −0.898811 | − | 0.438336i | \(-0.855568\pi\) |
0.999752 | + | 0.0222508i | \(0.00708323\pi\) | |||||||
\(752\) | −1.28860 | + | 0.515879i | −0.0469905 | + | 0.0188122i | ||||
\(753\) | −11.2085 | − | 2.16026i | −0.408460 | − | 0.0787242i | ||||
\(754\) | −5.96002 | − | 125.116i | −0.217051 | − | 4.55646i | ||||
\(755\) | −0.602571 | − | 0.695404i | −0.0219298 | − | 0.0253083i | ||||
\(756\) | −2.74448 | − | 9.06071i | −0.0998158 | − | 0.329535i | ||||
\(757\) | 9.42360 | − | 20.6348i | 0.342507 | − | 0.749985i | −0.657487 | − | 0.753466i | \(-0.728381\pi\) |
0.999994 | + | 0.00348075i | \(0.00110796\pi\) | |||||||
\(758\) | 21.0709 | − | 36.4959i | 0.765330 | − | 1.32559i | ||||
\(759\) | 5.81223 | − | 15.4545i | 0.210971 | − | 0.560961i | ||||
\(760\) | 0.660594 | + | 1.14418i | 0.0239622 | + | 0.0415038i | ||||
\(761\) | 19.6590 | + | 27.6072i | 0.712639 | + | 1.00076i | 0.999089 | + | 0.0426664i | \(0.0135853\pi\) |
−0.286450 | + | 0.958095i | \(0.592475\pi\) | |||||||
\(762\) | 0.00953233 | + | 0.00279895i | 0.000345320 | + | 0.000101395i | ||||
\(763\) | −6.96055 | + | 24.4745i | −0.251989 | + | 0.886035i | ||||
\(764\) | 29.2538 | − | 18.8003i | 1.05837 | − | 0.680171i | ||||
\(765\) | −0.0510047 | − | 0.147368i | −0.00184408 | − | 0.00532811i | ||||
\(766\) | −0.250752 | + | 0.100386i | −0.00906005 | + | 0.00362710i | ||||
\(767\) | −26.1233 | − | 24.9085i | −0.943256 | − | 0.899393i | ||||
\(768\) | 22.2887 | − | 11.4906i | 0.804275 | − | 0.414632i | ||||
\(769\) | 1.66813 | + | 11.6021i | 0.0601544 | + | 0.418383i | 0.997541 | + | 0.0700912i | \(0.0223290\pi\) |
−0.937386 | + | 0.348292i | \(0.886762\pi\) | |||||||
\(770\) | −4.00520 | − | 0.156623i | −0.144337 | − | 0.00564430i | ||||
\(771\) | −5.60384 | − | 12.2707i | −0.201817 | − | 0.441918i | ||||
\(772\) | −4.53661 | − | 1.81618i | −0.163276 | − | 0.0653659i | ||||
\(773\) | −2.53154 | + | 53.1436i | −0.0910532 | + | 1.91144i | 0.244875 | + | 0.969555i | \(0.421253\pi\) |
−0.335928 | + | 0.941888i | \(0.609050\pi\) | |||||||
\(774\) | 18.0850 | + | 17.2440i | 0.650052 | + | 0.619824i | ||||
\(775\) | −39.0989 | − | 30.7477i | −1.40447 | − | 1.10449i | ||||
\(776\) | 13.3893 | − | 15.4520i | 0.480647 | − | 0.554696i | ||||
\(777\) | 3.08121 | − | 2.23390i | 0.110538 | − | 0.0801407i | ||||
\(778\) | 4.92481 | + | 5.68353i | 0.176563 | + | 0.203765i | ||||
\(779\) | 2.80147 | − | 2.67120i | 0.100373 | − | 0.0957057i | ||||
\(780\) | 4.66830 | − | 0.445768i | 0.167152 | − | 0.0159611i | ||||
\(781\) | 4.26749 | + | 7.39150i | 0.152703 | + | 0.264489i | ||||
\(782\) | −8.53914 | + | 4.11934i | −0.305359 | + | 0.147307i | ||||
\(783\) | −7.53947 | −0.269439 | ||||||||
\(784\) | 7.69967 | + | 8.58599i | 0.274988 | + | 0.306643i | ||||
\(785\) | −1.79860 | − | 0.528115i | −0.0641946 | − | 0.0188492i | ||||
\(786\) | −3.66658 | + | 0.706676i | −0.130783 | + | 0.0252063i | ||||
\(787\) | 3.56503 | + | 1.83790i | 0.127080 | + | 0.0655142i | 0.520594 | − | 0.853804i | \(-0.325711\pi\) |
−0.393514 | + | 0.919318i | \(0.628741\pi\) | |||||||
\(788\) | 49.4718 | + | 9.53491i | 1.76236 | + | 0.339667i | ||||
\(789\) | 3.13578 | + | 2.46601i | 0.111637 | + | 0.0877922i | ||||
\(790\) | −2.81595 | + | 0.826838i | −0.100187 | + | 0.0294176i | ||||
\(791\) | 31.3689 | + | 17.7564i | 1.11535 | + | 0.631345i | ||||
\(792\) | 1.82642 | + | 12.7031i | 0.0648991 | + | 0.451383i | ||||
\(793\) | −59.0008 | − | 5.63389i | −2.09518 | − | 0.200065i | ||||
\(794\) | −27.4802 | + | 38.5906i | −0.975236 | + | 1.36953i | ||||
\(795\) | −1.82215 | + | 1.43295i | −0.0646250 | + | 0.0508216i | ||||
\(796\) | 10.0737 | − | 5.19335i | 0.357053 | − | 0.184074i | ||||
\(797\) | 39.3374 | − | 11.5505i | 1.39340 | − | 0.409139i | 0.502988 | − | 0.864293i | \(-0.332234\pi\) |
0.890413 | + | 0.455154i | \(0.150416\pi\) | |||||||
\(798\) | −9.74159 | − | 6.81270i | −0.344849 | − | 0.241167i | ||||
\(799\) | 0.461791 | − | 0.532935i | 0.0163370 | − | 0.0188539i | ||||
\(800\) | −0.842042 | − | 17.6766i | −0.0297707 | − | 0.624964i | ||||
\(801\) | 3.52784 | − | 10.1930i | 0.124650 | − | 0.360152i | ||||
\(802\) | −7.20911 | − | 29.7164i | −0.254563 | − | 1.04932i | ||||
\(803\) | −15.2409 | − | 21.4028i | −0.537838 | − | 0.755288i | ||||
\(804\) | −35.9872 | −1.26917 | ||||||||
\(805\) | 0.0425739 | − | 2.36365i | 0.00150053 | − | 0.0833076i | ||||
\(806\) | −166.430 | −5.86226 | ||||||||
\(807\) | 15.3904 | + | 21.6127i | 0.541766 | + | 0.760804i | ||||
\(808\) | 12.6797 | + | 52.2662i | 0.446069 | + | 1.83872i | ||||
\(809\) | 2.77509 | − | 8.01810i | 0.0975670 | − | 0.281901i | −0.885647 | − | 0.464360i | \(-0.846284\pi\) |
0.983214 | + | 0.182459i | \(0.0584056\pi\) | |||||||
\(810\) | −0.0209379 | − | 0.439540i | −0.000735682 | − | 0.0154439i | ||||
\(811\) | −15.7306 | + | 18.1540i | −0.552375 | + | 0.637475i | −0.961435 | − | 0.275033i | \(-0.911311\pi\) |
0.409060 | + | 0.912508i | \(0.365857\pi\) | |||||||
\(812\) | 64.6729 | − | 30.2033i | 2.26957 | − | 1.05993i | ||||
\(813\) | 8.36021 | − | 2.45478i | 0.293206 | − | 0.0860929i | ||||
\(814\) | −10.3965 | + | 5.35975i | −0.364396 | + | 0.187859i | ||||
\(815\) | 1.52954 | − | 1.20284i | 0.0535775 | − | 0.0421338i | ||||
\(816\) | 0.799902 | − | 1.12331i | 0.0280022 | − | 0.0393235i | ||||
\(817\) | 20.0359 | + | 1.91319i | 0.700966 | + | 0.0669341i | ||||
\(818\) | −3.34582 | − | 23.2707i | −0.116984 | − | 0.813640i | ||||
\(819\) | −16.0376 | + | 9.44227i | −0.560398 | + | 0.329940i | ||||
\(820\) | −1.30159 | + | 0.382182i | −0.0454535 | + | 0.0133464i | ||||
\(821\) | −15.3167 | − | 12.0452i | −0.534555 | − | 0.420379i | 0.314049 | − | 0.949407i | \(-0.398314\pi\) |
−0.848604 | + | 0.529028i | \(0.822557\pi\) | |||||||
\(822\) | 20.7670 | + | 4.00251i | 0.724332 | + | 0.139604i | ||||
\(823\) | 29.8285 | + | 15.3776i | 1.03975 | + | 0.536031i | 0.891548 | − | 0.452926i | \(-0.149620\pi\) |
0.148206 | + | 0.988956i | \(0.452650\pi\) | |||||||
\(824\) | 59.6883 | − | 11.5040i | 2.07934 | − | 0.400760i | ||||
\(825\) | 16.4022 | + | 4.81613i | 0.571053 | + | 0.167676i | ||||
\(826\) | 11.6635 | − | 29.8686i | 0.405825 | − | 1.03926i | ||||
\(827\) | 11.3528 | 0.394776 | 0.197388 | − | 0.980325i | \(-0.436754\pi\) | ||||
0.197388 | + | 0.980325i | \(0.436754\pi\) | |||||||
\(828\) | −16.9309 | + | 2.79966i | −0.588390 | + | 0.0972947i | ||||
\(829\) | 1.79970 | + | 3.11717i | 0.0625061 | + | 0.108264i | 0.895585 | − | 0.444890i | \(-0.146757\pi\) |
−0.833079 | + | 0.553154i | \(0.813424\pi\) | |||||||
\(830\) | −4.57011 | + | 0.436393i | −0.158631 | + | 0.0151474i | ||||
\(831\) | −11.4711 | + | 10.9376i | −0.397927 | + | 0.379423i | ||||
\(832\) | −53.9543 | − | 62.2666i | −1.87053 | − | 2.15871i | ||||
\(833\) | −5.47568 | − | 2.08466i | −0.189721 | − | 0.0722291i | ||||
\(834\) | 13.6132 | − | 15.7105i | 0.471386 | − | 0.544009i | ||||
\(835\) | −0.858112 | − | 0.674827i | −0.0296962 | − | 0.0233533i | ||||
\(836\) | 16.9613 | + | 16.1726i | 0.586620 | + | 0.559341i | ||||
\(837\) | −0.476661 | + | 10.0064i | −0.0164758 | + | 0.345870i | ||||
\(838\) | −29.9365 | − | 11.9848i | −1.03414 | − | 0.414007i | ||||
\(839\) | −0.577711 | − | 1.26501i | −0.0199448 | − | 0.0436730i | 0.899397 | − | 0.437132i | \(-0.144006\pi\) |
−0.919342 | + | 0.393459i | \(0.871278\pi\) | |||||||
\(840\) | 0.855861 | + | 1.62599i | 0.0295300 | + | 0.0561021i | ||||
\(841\) | −3.96256 | − | 27.5602i | −0.136640 | − | 0.950351i | ||||
\(842\) | 36.9008 | − | 19.0237i | 1.27169 | − | 0.655600i | ||||
\(843\) | −13.9215 | − | 13.2741i | −0.479482 | − | 0.457186i | ||||
\(844\) | −17.3634 | + | 6.95128i | −0.597675 | + | 0.239273i | ||||
\(845\) | −2.22296 | − | 6.42283i | −0.0764723 | − | 0.220952i | ||||
\(846\) | 1.67395 | − | 1.07578i | 0.0575515 | − | 0.0369861i | ||||
\(847\) | −2.18897 | + | 0.550815i | −0.0752139 | + | 0.0189262i | ||||
\(848\) | −19.6684 | − | 5.77515i | −0.675414 | − | 0.198319i | ||||
\(849\) | −16.3978 | − | 23.0275i | −0.562770 | − | 0.790300i | ||||
\(850\) | −4.90791 | − | 8.50074i | −0.168340 | − | 0.291573i | ||||
\(851\) | −3.28964 | − | 6.06375i | −0.112767 | − | 0.207863i | ||||
\(852\) | 4.43537 | − | 7.68229i | 0.151953 | − | 0.263191i | ||||
\(853\) | −0.0974732 | + | 0.213437i | −0.00333742 | + | 0.00730793i | −0.911293 | − | 0.411758i | \(-0.864915\pi\) |
0.907956 | + | 0.419066i | \(0.137642\pi\) | |||||||
\(854\) | −15.2633 | − | 50.3909i | −0.522301 | − | 1.72434i | ||||
\(855\) | −0.232102 | − | 0.267860i | −0.00793772 | − | 0.00916061i | ||||
\(856\) | 0.245008 | + | 5.14335i | 0.00837419 | + | 0.175796i | ||||
\(857\) | 1.49887 | + | 0.288883i | 0.0512004 | + | 0.00986806i | 0.214787 | − | 0.976661i | \(-0.431094\pi\) |
−0.163587 | + | 0.986529i | \(0.552306\pi\) | |||||||
\(858\) | 53.1009 | − | 21.2584i | 1.81283 | − | 0.725749i | ||||
\(859\) | −4.11093 | + | 16.9455i | −0.140263 | + | 0.578172i | 0.857687 | + | 0.514172i | \(0.171901\pi\) |
−0.997950 | + | 0.0639996i | \(0.979614\pi\) | |||||||
\(860\) | −5.93378 | − | 3.81341i | −0.202340 | − | 0.130036i | ||||
\(861\) | 4.03843 | − | 3.55998i | 0.137629 | − | 0.121324i | ||||
\(862\) | 16.7416 | + | 36.6590i | 0.570222 | + | 1.24861i | ||||
\(863\) | −49.0365 | − | 4.68242i | −1.66922 | − | 0.159391i | −0.782802 | − | 0.622271i | \(-0.786210\pi\) |
−0.886421 | + | 0.462880i | \(0.846816\pi\) | |||||||
\(864\) | −2.80156 | + | 2.20317i | −0.0953109 | + | 0.0749533i | ||||
\(865\) | 0.0888748 | − | 1.86571i | 0.00302183 | − | 0.0634361i | ||||
\(866\) | −12.1847 | + | 50.2261i | −0.414054 | + | 1.70675i | ||||
\(867\) | 2.31965 | − | 16.1335i | 0.0787794 | − | 0.547923i | ||||
\(868\) | −35.9969 | − | 87.7431i | −1.22181 | − | 2.97819i | ||||
\(869\) | −19.3169 | + | 12.4142i | −0.655280 | + | 0.421123i | ||||
\(870\) | 3.25770 | − | 0.627870i | 0.110446 | − | 0.0212868i | ||||
\(871\) | 16.6785 | + | 68.7496i | 0.565128 | + | 2.32949i | ||||
\(872\) | −35.6876 | + | 3.40775i | −1.20853 | + | 0.115401i | ||||
\(873\) | −2.74248 | + | 4.75011i | −0.0928189 | + | 0.160767i | ||||
\(874\) | −14.5378 | + | 15.9048i | −0.491747 | + | 0.537988i | ||||
\(875\) | 4.90450 | − | 0.275504i | 0.165802 | − | 0.00931375i | ||||
\(876\) | −11.3443 | + | 24.8406i | −0.383289 | + | 0.839287i | ||||
\(877\) | −22.2809 | + | 21.2448i | −0.752373 | + | 0.717386i | −0.965719 | − | 0.259590i | \(-0.916412\pi\) |
0.213346 | + | 0.976977i | \(0.431564\pi\) | |||||||
\(878\) | 5.02837 | − | 14.5285i | 0.169699 | − | 0.490314i | ||||
\(879\) | −21.6104 | − | 11.1409i | −0.728901 | − | 0.375774i | ||||
\(880\) | −0.345644 | − | 0.998674i | −0.0116517 | − | 0.0336653i | ||||
\(881\) | −0.0951378 | + | 0.661698i | −0.00320527 | + | 0.0222932i | −0.991361 | − | 0.131159i | \(-0.958130\pi\) |
0.988156 | + | 0.153452i | \(0.0490392\pi\) | |||||||
\(882\) | −13.1679 | − | 9.99716i | −0.443385 | − | 0.336622i | ||||
\(883\) | 16.9620 | + | 10.9008i | 0.570818 | + | 0.366843i | 0.793985 | − | 0.607938i | \(-0.208003\pi\) |
−0.223166 | + | 0.974780i | \(0.571639\pi\) | |||||||
\(884\) | −19.5587 | − | 7.83014i | −0.657832 | − | 0.263356i | ||||
\(885\) | 0.554555 | − | 0.778763i | 0.0186412 | − | 0.0261778i | ||||
\(886\) | −2.71604 | + | 3.81415i | −0.0912473 | + | 0.128139i | ||||
\(887\) | 0.145594 | + | 0.0582871i | 0.00488857 | + | 0.00195709i | 0.374105 | − | 0.927386i | \(-0.377950\pi\) |
−0.369217 | + | 0.929343i | \(0.620374\pi\) | |||||||
\(888\) | 4.51086 | + | 2.89895i | 0.151374 | + | 0.0972824i | ||||
\(889\) | 0.0104855 | − | 0.00372936i | 0.000351674 | − | 0.000125079i | ||||
\(890\) | −0.675478 | + | 4.69805i | −0.0226421 | + | 0.157479i | ||||
\(891\) | −1.12604 | − | 3.25349i | −0.0377238 | − | 0.108996i | ||||
\(892\) | −11.4873 | − | 5.92212i | −0.384624 | − | 0.198287i | ||||
\(893\) | 0.524194 | − | 1.51456i | 0.0175415 | − | 0.0506828i | ||||
\(894\) | −28.6436 | + | 27.3116i | −0.957984 | + | 0.913436i | ||||
\(895\) | −0.652922 | + | 1.42970i | −0.0218248 | + | 0.0477896i | ||||
\(896\) | 24.4844 | − | 48.5028i | 0.817967 | − | 1.62036i | ||||
\(897\) | 13.1952 | + | 31.0472i | 0.440574 | + | 1.03663i | ||||
\(898\) | 33.5155 | − | 58.0506i | 1.11843 | − | 1.93717i | ||||
\(899\) | −75.1861 | + | 7.17941i | −2.50760 | + | 0.239447i | ||||
\(900\) | −4.18878 | − | 17.2664i | −0.139626 | − | 0.575546i | ||||
\(901\) | 10.2259 | − | 1.97089i | 0.340676 | − | 0.0656598i | ||||
\(902\) | −13.9191 | + | 8.94528i | −0.463456 | + | 0.297845i | ||||
\(903\) | 27.7403 | + | 3.74765i | 0.923139 | + | 0.124714i | ||||
\(904\) | −7.22753 | + | 50.2686i | −0.240384 | + | 1.67191i | ||||
\(905\) | −0.468463 | + | 1.93103i | −0.0155723 | + | 0.0641897i | ||||
\(906\) | −0.555023 | + | 11.6514i | −0.0184394 | + | 0.387091i | ||||
\(907\) | −0.764190 | + | 0.600966i | −0.0253745 | + | 0.0199547i | −0.630766 | − | 0.775973i | \(-0.717259\pi\) |
0.605391 | + | 0.795928i | \(0.293017\pi\) | |||||||
\(908\) | −25.2134 | − | 2.40759i | −0.836737 | − | 0.0798987i | ||||
\(909\) | −5.99359 | − | 13.1241i | −0.198795 | − | 0.435300i | ||||
\(910\) | 6.14328 | − | 5.41545i | 0.203648 | − | 0.179520i | ||||
\(911\) | −6.72732 | − | 4.32339i | −0.222886 | − | 0.143240i | 0.424433 | − | 0.905459i | \(-0.360473\pi\) |
−0.647319 | + | 0.762219i | \(0.724110\pi\) | |||||||
\(912\) | 0.738911 | − | 3.04583i | 0.0244678 | − | 0.100858i | ||||
\(913\) | −33.3461 | + | 13.3497i | −1.10359 | + | 0.441812i | ||||
\(914\) | −27.3524 | − | 5.27174i | −0.904737 | − | 0.174374i | ||||
\(915\) | −0.0746958 | − | 1.56806i | −0.00246937 | − | 0.0518384i | ||||
\(916\) | 18.4923 | + | 21.3413i | 0.611004 | + | 0.705136i | ||||
\(917\) | −2.86067 | + | 3.05180i | −0.0944676 | + | 0.100779i | ||||
\(918\) | −0.821229 | + | 1.79824i | −0.0271046 | + | 0.0593508i | ||||
\(919\) | −7.82656 | + | 13.5560i | −0.258175 | + | 0.447171i | −0.965753 | − | 0.259463i | \(-0.916454\pi\) |
0.707578 | + | 0.706635i | \(0.249788\pi\) | |||||||
\(920\) | 3.12388 | − | 1.15546i | 0.102991 | − | 0.0380944i | ||||
\(921\) | 4.09939 | + | 7.10036i | 0.135080 | + | 0.233965i | ||||
\(922\) | 46.9117 | + | 65.8783i | 1.54496 | + | 2.16959i | ||||
\(923\) | −16.7318 | − | 4.91289i | −0.550733 | − | 0.161710i | ||||
\(924\) | 22.6926 | + | 23.3972i | 0.746532 | + | 0.769710i | ||||
\(925\) | 6.00854 | − | 3.86145i | 0.197560 | − | 0.126964i | ||||
\(926\) | −0.889420 | − | 2.56981i | −0.0292281 | − | 0.0844492i | ||||
\(927\) | −15.1389 | + | 6.06071i | −0.497227 | + | 0.199060i | ||||
\(928\) | −19.4477 | − | 18.5433i | −0.638401 | − | 0.608714i | ||||
\(929\) | −16.4616 | + | 8.48653i | −0.540087 | + | 0.278434i | −0.706610 | − | 0.707604i | \(-0.749776\pi\) |
0.166523 | + | 0.986038i | \(0.446746\pi\) | |||||||
\(930\) | −0.627348 | − | 4.36330i | −0.0205716 | − | 0.143078i | ||||
\(931\) | −13.3145 | + | 0.226766i | −0.436365 | + | 0.00743194i | ||||
\(932\) | 39.7627 | + | 87.0681i | 1.30247 | + | 2.85201i | ||||
\(933\) | −14.2036 | − | 5.68625i | −0.465003 | − | 0.186159i | ||||
\(934\) | 3.72868 | − | 78.2747i | 0.122006 | − | 2.56123i | ||||
\(935\) | 0.388569 | + | 0.370499i | 0.0127076 | + | 0.0121166i | ||||
\(936\) | −20.6111 | − | 16.2087i | −0.673695 | − | 0.529799i | ||||
\(937\) | −19.6558 | + | 22.6840i | −0.642126 | + | 0.741053i | −0.979749 | − | 0.200228i | \(-0.935832\pi\) |
0.337623 | + | 0.941281i | \(0.390377\pi\) | |||||||
\(938\) | −50.8800 | + | 36.8884i | −1.66129 | + | 1.20445i | ||||
\(939\) | 2.41438 | + | 2.78634i | 0.0787903 | + | 0.0909288i | ||||
\(940\) | −0.406498 | + | 0.387595i | −0.0132585 | + | 0.0126420i | ||||
\(941\) | 29.2294 | − | 2.79107i | 0.952850 | − | 0.0909862i | 0.392962 | − | 0.919555i | \(-0.371450\pi\) |
0.559888 | + | 0.828568i | \(0.310844\pi\) | |||||||
\(942\) | 11.8815 | + | 20.5794i | 0.387120 | + | 0.670512i | ||||
\(943\) | −5.44766 | − | 8.09635i | −0.177400 | − | 0.263653i | ||||
\(944\) | 8.45411 | 0.275158 | ||||||||
\(945\) | −0.308000 | − | 0.384864i | −0.0100192 | − | 0.0125196i | ||||
\(946\) | −82.5464 | − | 24.2378i | −2.68382 | − | 0.788040i | ||||
\(947\) | −23.4438 | + | 4.51842i | −0.761821 | + | 0.146829i | −0.555342 | − | 0.831622i | \(-0.687413\pi\) |
−0.206479 | + | 0.978451i | \(0.566200\pi\) | |||||||
\(948\) | 21.2124 | + | 10.9357i | 0.688945 | + | 0.355176i | ||||
\(949\) | 52.7129 | + | 10.1596i | 1.71113 | + | 0.329794i | ||||
\(950\) | −17.5362 | − | 13.7906i | −0.568950 | − | 0.447427i | ||||
\(951\) | −4.40813 | + | 1.29434i | −0.142943 | + | 0.0419720i | ||||
\(952\) | −0.0702895 | − | 8.25467i | −0.00227810 | − | 0.267535i | ||||
\(953\) | 6.38046 | + | 44.3771i | 0.206684 | + | 1.43752i | 0.783881 | + | 0.620911i | \(0.213237\pi\) |
−0.577198 | + | 0.816605i | \(0.695854\pi\) | |||||||
\(954\) | 29.2530 | + | 2.79333i | 0.947102 | + | 0.0904373i | ||||
\(955\) | 1.05025 | − | 1.47487i | 0.0339852 | − | 0.0477256i | ||||
\(956\) | 13.8037 | − | 10.8554i | 0.446444 | − | 0.351088i | ||||
\(957\) | 23.0717 | − | 11.8943i | 0.745801 | − | 0.384487i | ||||
\(958\) | −48.6042 | + | 14.2715i | −1.57033 | + | 0.461091i | ||||
\(959\) | 21.4660 | − | 10.0249i | 0.693172 | − | 0.323722i | ||||
\(960\) | 1.42906 | − | 1.64923i | 0.0461229 | − | 0.0532286i | ||||
\(961\) | 3.30001 | + | 69.2758i | 0.106452 | + | 2.23470i | ||||
\(962\) | 7.81628 | − | 22.5837i | 0.252007 | − | 0.728127i | ||||
\(963\) | −0.325665 | − | 1.34241i | −0.0104944 | − | 0.0432586i | ||||
\(964\) | 44.0540 | + | 61.8652i | 1.41888 | + | 1.99254i | ||||
\(965\) | −0.254435 | −0.00819055 | ||||||||
\(966\) | −21.0678 | + | 21.3132i | −0.677845 | + | 0.685740i | ||||
\(967\) | 52.1401 | 1.67671 | 0.838357 | − | 0.545122i | \(-0.183517\pi\) | ||||
0.838357 | + | 0.545122i | \(0.183517\pi\) | |||||||
\(968\) | −1.84471 | − | 2.59053i | −0.0592912 | − | 0.0832628i | ||||
\(969\) | 0.375396 | + | 1.54740i | 0.0120594 | + | 0.0497097i | ||||
\(970\) | 0.789409 | − | 2.28085i | 0.0253464 | − | 0.0732336i | ||||
\(971\) | 0.967118 | + | 20.3023i | 0.0310363 | + | 0.651532i | 0.959771 | + | 0.280786i | \(0.0905950\pi\) |
−0.928734 | + | 0.370746i | \(0.879102\pi\) | |||||||
\(972\) | −2.34328 | + | 2.70428i | −0.0751606 | + | 0.0867400i | ||||
\(973\) | 2.01609 | − | 23.1994i | 0.0646327 | − | 0.743737i | ||||
\(974\) | 40.8418 | − | 11.9922i | 1.30866 | − | 0.384256i | ||||
\(975\) | −31.0442 | + | 16.0044i | −0.994210 | + | 0.512551i | ||||
\(976\) | 10.9119 | − | 8.58121i | 0.349281 | − | 0.274678i | ||||
\(977\) | 6.46351 | − | 9.07674i | 0.206786 | − | 0.290391i | −0.698138 | − | 0.715963i | \(-0.745988\pi\) |
0.904924 | + | 0.425573i | \(0.139927\pi\) | |||||||
\(978\) | −24.5555 | − | 2.34476i | −0.785197 | − | 0.0749773i | ||||
\(979\) | 5.28491 | + | 36.7573i | 0.168906 | + | 1.17477i | ||||
\(980\) | 4.18377 | + | 2.06747i | 0.133646 | + | 0.0660430i | ||||
\(981\) | 9.22774 | − | 2.70951i | 0.294619 | − | 0.0865080i | ||||
\(982\) | 17.6930 | + | 13.9139i | 0.564607 | + | 0.444012i | ||||
\(983\) | −36.0857 | − | 6.95494i | −1.15095 | − | 0.221828i | −0.422134 | − | 0.906533i | \(-0.638719\pi\) |
−0.728820 | + | 0.684705i | \(0.759931\pi\) | |||||||
\(984\) | 6.74177 | + | 3.47562i | 0.214920 | + | 0.110799i | ||||
\(985\) | 2.57587 | − | 0.496458i | 0.0820740 | − | 0.0158185i | ||||
\(986\) | −14.3009 | − | 4.19913i | −0.455435 | − | 0.133728i | ||||
\(987\) | 0.810793 | − | 2.07633i | 0.0258078 | − | 0.0660903i | ||||
\(988\) | −47.8827 | −1.52335 | ||||||||
\(989\) | 13.2661 | − | 48.9755i | 0.421837 | − | 1.55733i | ||||
\(990\) | 0.757491 | + | 1.31201i | 0.0240746 | + | 0.0416985i | ||||
\(991\) | 21.7825 | − | 2.07997i | 0.691943 | − | 0.0660725i | 0.256841 | − | 0.966454i | \(-0.417318\pi\) |
0.435102 | + | 0.900381i | \(0.356712\pi\) | |||||||
\(992\) | −25.8401 | + | 24.6385i | −0.820425 | + | 0.782273i | ||||
\(993\) | 7.18278 | + | 8.28938i | 0.227939 | + | 0.263055i | ||||
\(994\) | −1.60378 | − | 15.4079i | −0.0508690 | − | 0.488710i | ||||
\(995\) | 0.386440 | − | 0.445976i | 0.0122510 | − | 0.0141384i | ||||
\(996\) | 29.3450 | + | 23.0771i | 0.929831 | + | 0.731227i | ||||
\(997\) | −25.9724 | − | 24.7647i | −0.822555 | − | 0.784305i | 0.156548 | − | 0.987670i | \(-0.449963\pi\) |
−0.979103 | + | 0.203366i | \(0.934812\pi\) | |||||||
\(998\) | 4.53806 | − | 95.2657i | 0.143650 | − | 3.01558i | ||||
\(999\) | −1.33542 | − | 0.534621i | −0.0422508 | − | 0.0169147i |
(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 | 483.2.y.b.121.2 | yes | 320 | |
7.4 | even | 3 | inner | 483.2.y.b.466.15 | yes | 320 | |
23.4 | even | 11 | inner | 483.2.y.b.142.15 | yes | 320 | |
161.4 | even | 33 | inner | 483.2.y.b.4.2 | ✓ | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.b.4.2 | ✓ | 320 | 161.4 | even | 33 | inner | |
483.2.y.b.121.2 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.y.b.142.15 | yes | 320 | 23.4 | even | 11 | inner | |
483.2.y.b.466.15 | yes | 320 | 7.4 | even | 3 | inner |