Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 13.52 | ||
Character | \(\chi\) | \(=\) | 576.13 |
Dual form | 576.2.bm.a.133.52 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.222442 | + | 1.39661i | 0.157290 | + | 0.987552i | ||||
\(3\) | −1.50071 | − | 0.864792i | −0.866436 | − | 0.499288i | ||||
\(4\) | −1.90104 | + | 0.621330i | −0.950520 | + | 0.310665i | ||||
\(5\) | 1.32689 | − | 3.90890i | 0.593405 | − | 1.74811i | −0.0675797 | − | 0.997714i | \(-0.521528\pi\) |
0.660984 | − | 0.750400i | \(-0.270139\pi\) | |||||||
\(6\) | 0.873956 | − | 2.28827i | 0.356791 | − | 0.934184i | ||||
\(7\) | −1.44824 | + | 1.88738i | −0.547384 | + | 0.713364i | −0.982344 | − | 0.187086i | \(-0.940096\pi\) |
0.434960 | + | 0.900450i | \(0.356762\pi\) | |||||||
\(8\) | −1.29063 | − | 2.51680i | −0.456305 | − | 0.889823i | ||||
\(9\) | 1.50427 | + | 2.59561i | 0.501423 | + | 0.865202i | ||||
\(10\) | 5.75437 | + | 0.983648i | 1.81969 | + | 0.311057i | ||||
\(11\) | −0.241639 | − | 0.0158379i | −0.0728569 | − | 0.00477529i | 0.0289311 | − | 0.999581i | \(-0.490790\pi\) |
−0.101788 | + | 0.994806i | \(0.532456\pi\) | |||||||
\(12\) | 3.39023 | + | 0.711567i | 0.978676 | + | 0.205412i | ||||
\(13\) | −1.40736 | + | 1.60479i | −0.390331 | + | 0.445087i | −0.913314 | − | 0.407256i | \(-0.866486\pi\) |
0.522983 | + | 0.852343i | \(0.324819\pi\) | |||||||
\(14\) | −2.95809 | − | 1.60279i | −0.790583 | − | 0.428365i | ||||
\(15\) | −5.37167 | + | 4.71865i | −1.38696 | + | 1.21835i | ||||
\(16\) | 3.22790 | − | 2.36234i | 0.806975 | − | 0.590586i | ||||
\(17\) | −4.79616 | − | 4.79616i | −1.16324 | − | 1.16324i | −0.983762 | − | 0.179478i | \(-0.942559\pi\) |
−0.179478 | − | 0.983762i | \(-0.557441\pi\) | |||||||
\(18\) | −3.29044 | + | 2.67825i | −0.775564 | + | 0.631269i | ||||
\(19\) | −1.45921 | + | 7.33592i | −0.334765 | + | 1.68298i | 0.336441 | + | 0.941705i | \(0.390777\pi\) |
−0.671206 | + | 0.741271i | \(0.734223\pi\) | |||||||
\(20\) | −0.0937593 | + | 8.25541i | −0.0209652 | + | 1.84597i | ||||
\(21\) | 3.80559 | − | 1.57999i | 0.830447 | − | 0.344782i | ||||
\(22\) | −0.0316314 | − | 0.340998i | −0.00674383 | − | 0.0727011i | ||||
\(23\) | −2.02312 | + | 1.55240i | −0.421850 | + | 0.323697i | −0.797777 | − | 0.602952i | \(-0.793991\pi\) |
0.375927 | + | 0.926649i | \(0.377324\pi\) | |||||||
\(24\) | −0.239652 | + | 4.89311i | −0.0489187 | + | 0.998803i | ||||
\(25\) | −9.55209 | − | 7.32958i | −1.91042 | − | 1.46592i | ||||
\(26\) | −2.55432 | − | 1.60856i | −0.500942 | − | 0.315465i | ||||
\(27\) | −0.0128128 | − | 5.19614i | −0.00246583 | − | 0.999997i | ||||
\(28\) | 1.58047 | − | 4.48783i | 0.298682 | − | 0.848119i | ||||
\(29\) | −1.90269 | + | 3.85827i | −0.353320 | + | 0.716462i | −0.998883 | − | 0.0472447i | \(-0.984956\pi\) |
0.645563 | + | 0.763707i | \(0.276623\pi\) | |||||||
\(30\) | −7.78499 | − | 6.45250i | −1.42134 | − | 1.17806i | ||||
\(31\) | −7.75983 | − | 4.48014i | −1.39371 | − | 0.804656i | −0.399983 | − | 0.916523i | \(-0.630984\pi\) |
−0.993723 | + | 0.111866i | \(0.964317\pi\) | |||||||
\(32\) | 4.01729 | + | 3.98263i | 0.710164 | + | 0.704036i | ||||
\(33\) | 0.348934 | + | 0.232736i | 0.0607416 | + | 0.0405141i | ||||
\(34\) | 5.63150 | − | 7.76524i | 0.965794 | − | 1.33173i | ||||
\(35\) | 5.45594 | + | 8.16539i | 0.922222 | + | 1.38020i | ||||
\(36\) | −4.47240 | − | 3.99970i | −0.745400 | − | 0.666617i | ||||
\(37\) | −0.502267 | − | 2.52507i | −0.0825722 | − | 0.415118i | −0.999857 | − | 0.0168876i | \(-0.994624\pi\) |
0.917285 | − | 0.398231i | \(-0.130376\pi\) | |||||||
\(38\) | −10.5700 | − | 0.406123i | −1.71468 | − | 0.0658819i | ||||
\(39\) | 3.49985 | − | 1.19125i | 0.560424 | − | 0.190752i | ||||
\(40\) | −11.5504 | + | 1.70541i | −1.82629 | + | 0.269648i | ||||
\(41\) | −5.71662 | + | 4.38652i | −0.892787 | + | 0.685059i | −0.949647 | − | 0.313323i | \(-0.898558\pi\) |
0.0568599 | + | 0.998382i | \(0.481891\pi\) | |||||||
\(42\) | 3.05315 | + | 4.96346i | 0.471112 | + | 0.765879i | ||||
\(43\) | −0.445624 | + | 6.79892i | −0.0679571 | + | 1.03682i | 0.818647 | + | 0.574297i | \(0.194724\pi\) |
−0.886604 | + | 0.462528i | \(0.846942\pi\) | |||||||
\(44\) | 0.469206 | − | 0.120029i | 0.0707354 | − | 0.0180951i | ||||
\(45\) | 12.1420 | − | 2.43595i | 1.81002 | − | 0.363129i | ||||
\(46\) | −2.61812 | − | 2.48019i | −0.386021 | − | 0.365685i | ||||
\(47\) | 2.49397 | − | 9.30764i | 0.363784 | − | 1.35766i | −0.505279 | − | 0.862956i | \(-0.668610\pi\) |
0.869062 | − | 0.494703i | \(-0.164723\pi\) | |||||||
\(48\) | −6.88708 | + | 0.753735i | −0.994065 | + | 0.108792i | ||||
\(49\) | 0.346916 | + | 1.29471i | 0.0495594 | + | 0.184958i | ||||
\(50\) | 8.11178 | − | 14.9710i | 1.14718 | − | 2.11721i | ||||
\(51\) | 3.04997 | + | 11.3453i | 0.427081 | + | 1.58867i | ||||
\(52\) | 1.67834 | − | 3.92519i | 0.232744 | − | 0.544326i | ||||
\(53\) | 1.08989 | − | 1.63113i | 0.149707 | − | 0.224053i | −0.749035 | − | 0.662531i | \(-0.769482\pi\) |
0.898742 | + | 0.438478i | \(0.144482\pi\) | |||||||
\(54\) | 7.25413 | − | 1.17373i | 0.987162 | − | 0.159725i | ||||
\(55\) | −0.382538 | + | 0.923528i | −0.0515814 | + | 0.124528i | ||||
\(56\) | 6.61931 | + | 1.20903i | 0.884542 | + | 0.161563i | ||||
\(57\) | 8.53389 | − | 9.74719i | 1.13034 | − | 1.29105i | ||||
\(58\) | −5.81173 | − | 1.79907i | −0.763118 | − | 0.236229i | ||||
\(59\) | 0.656894 | − | 1.93515i | 0.0855203 | − | 0.251935i | −0.895754 | − | 0.444550i | \(-0.853364\pi\) |
0.981274 | + | 0.192615i | \(0.0616970\pi\) | |||||||
\(60\) | 7.27992 | − | 12.3079i | 0.939834 | − | 1.58894i | ||||
\(61\) | 1.72781 | + | 0.852063i | 0.221224 | + | 0.109096i | 0.549524 | − | 0.835478i | \(-0.314809\pi\) |
−0.328300 | + | 0.944573i | \(0.606476\pi\) | |||||||
\(62\) | 4.53089 | − | 11.8340i | 0.575424 | − | 1.50292i | ||||
\(63\) | −7.07745 | − | 0.919930i | −0.891675 | − | 0.115900i | ||||
\(64\) | −4.66857 | + | 6.49650i | −0.583571 | + | 0.812062i | ||||
\(65\) | 4.40553 | + | 7.63061i | 0.546439 | + | 0.946460i | ||||
\(66\) | −0.247423 | + | 0.539095i | −0.0304557 | + | 0.0663580i | ||||
\(67\) | −0.413645 | − | 6.31100i | −0.0505347 | − | 0.771011i | −0.945652 | − | 0.325180i | \(-0.894575\pi\) |
0.895117 | − | 0.445831i | \(-0.147092\pi\) | |||||||
\(68\) | 12.0977 | + | 6.13769i | 1.46706 | + | 0.744305i | ||||
\(69\) | 4.37862 | − | 0.580118i | 0.527124 | − | 0.0698381i | ||||
\(70\) | −10.1902 | + | 9.43614i | −1.21797 | + | 1.12783i | ||||
\(71\) | 3.51594 | + | 8.48823i | 0.417265 | + | 1.00737i | 0.983136 | + | 0.182874i | \(0.0585399\pi\) |
−0.565871 | + | 0.824494i | \(0.691460\pi\) | |||||||
\(72\) | 4.59117 | − | 7.13590i | 0.541075 | − | 0.840974i | ||||
\(73\) | 2.86551 | − | 6.91795i | 0.335382 | − | 0.809684i | −0.662764 | − | 0.748828i | \(-0.730617\pi\) |
0.998147 | − | 0.0608563i | \(-0.0193831\pi\) | |||||||
\(74\) | 3.41481 | − | 1.26315i | 0.396963 | − | 0.146838i | ||||
\(75\) | 7.99637 | + | 19.2602i | 0.923342 | + | 2.22397i | ||||
\(76\) | −1.78402 | − | 14.8525i | −0.204641 | − | 1.70370i | ||||
\(77\) | 0.379844 | − | 0.433129i | 0.0432872 | − | 0.0493596i | ||||
\(78\) | 2.44222 | + | 4.62294i | 0.276527 | + | 0.523444i | ||||
\(79\) | −12.6173 | − | 3.38079i | −1.41956 | − | 0.380369i | −0.534230 | − | 0.845339i | \(-0.679398\pi\) |
−0.885326 | + | 0.464971i | \(0.846065\pi\) | |||||||
\(80\) | −4.95109 | − | 15.7521i | −0.553549 | − | 1.76114i | ||||
\(81\) | −4.47435 | + | 7.80898i | −0.497150 | + | 0.867665i | ||||
\(82\) | −7.39788 | − | 7.00815i | −0.816959 | − | 0.773920i | ||||
\(83\) | −0.510057 | + | 0.173141i | −0.0559860 | + | 0.0190047i | −0.349292 | − | 0.937014i | \(-0.613578\pi\) |
0.293306 | + | 0.956019i | \(0.405245\pi\) | |||||||
\(84\) | −6.25287 | + | 5.36815i | −0.682244 | + | 0.585713i | ||||
\(85\) | −25.1117 | + | 12.3837i | −2.72375 | + | 1.34320i | ||||
\(86\) | −9.59456 | + | 0.890001i | −1.03461 | + | 0.0959713i | ||||
\(87\) | 6.19198 | − | 4.14472i | 0.663850 | − | 0.444360i | ||||
\(88\) | 0.272005 | + | 0.628598i | 0.0289958 | + | 0.0670088i | ||||
\(89\) | −8.74053 | + | 3.62044i | −0.926494 | + | 0.383766i | −0.794347 | − | 0.607464i | \(-0.792187\pi\) |
−0.132147 | + | 0.991230i | \(0.542187\pi\) | |||||||
\(90\) | 6.10295 | + | 16.4157i | 0.643308 | + | 1.73037i | ||||
\(91\) | −0.990652 | − | 4.98034i | −0.103849 | − | 0.522082i | ||||
\(92\) | 2.88148 | − | 4.20819i | 0.300416 | − | 0.438734i | ||||
\(93\) | 7.77087 | + | 13.4340i | 0.805802 | + | 1.39304i | ||||
\(94\) | 13.5539 | + | 1.41270i | 1.39798 | + | 0.145709i | ||||
\(95\) | 26.7392 | + | 15.4379i | 2.74338 | + | 1.58389i | ||||
\(96\) | −2.58465 | − | 9.45090i | −0.263795 | − | 0.964579i | ||||
\(97\) | 5.66534 | − | 3.27088i | 0.575228 | − | 0.332108i | −0.184007 | − | 0.982925i | \(-0.558907\pi\) |
0.759235 | + | 0.650817i | \(0.225574\pi\) | |||||||
\(98\) | −1.73103 | + | 0.772503i | −0.174861 | + | 0.0780346i | ||||
\(99\) | −0.322381 | − | 0.651024i | −0.0324005 | − | 0.0654304i | ||||
\(100\) | 22.7130 | + | 7.99882i | 2.27130 | + | 0.799882i | ||||
\(101\) | 12.3209 | − | 10.8052i | 1.22598 | − | 1.07515i | 0.231219 | − | 0.972902i | \(-0.425729\pi\) |
0.994759 | − | 0.102252i | \(-0.0326048\pi\) | |||||||
\(102\) | −15.1666 | + | 6.78330i | −1.50171 | + | 0.671647i | ||||
\(103\) | −1.17490 | + | 8.92424i | −0.115766 | + | 0.879332i | 0.830743 | + | 0.556656i | \(0.187916\pi\) |
−0.946509 | + | 0.322676i | \(0.895418\pi\) | |||||||
\(104\) | 5.85530 | + | 1.47086i | 0.574159 | + | 0.144230i | ||||
\(105\) | −1.12642 | − | 16.9721i | −0.109928 | − | 1.65631i | ||||
\(106\) | 2.52049 | + | 1.15931i | 0.244811 | + | 0.112602i | ||||
\(107\) | −2.41585 | − | 1.61422i | −0.233549 | − | 0.156053i | 0.433289 | − | 0.901255i | \(-0.357353\pi\) |
−0.666838 | + | 0.745202i | \(0.732353\pi\) | |||||||
\(108\) | 3.25287 | + | 9.87010i | 0.313008 | + | 0.949751i | ||||
\(109\) | −0.132884 | + | 0.668053i | −0.0127280 | + | 0.0639879i | −0.986627 | − | 0.162993i | \(-0.947885\pi\) |
0.973899 | + | 0.226980i | \(0.0728853\pi\) | |||||||
\(110\) | −1.37490 | − | 0.328825i | −0.131092 | − | 0.0313522i | ||||
\(111\) | −1.42990 | + | 4.22375i | −0.135720 | + | 0.400901i | ||||
\(112\) | −0.216124 | + | 9.51353i | −0.0204218 | + | 0.898944i | ||||
\(113\) | 0.582262 | + | 2.17303i | 0.0547746 | + | 0.204422i | 0.987890 | − | 0.155155i | \(-0.0495877\pi\) |
−0.933116 | + | 0.359577i | \(0.882921\pi\) | |||||||
\(114\) | 15.5113 | + | 9.75034i | 1.45277 | + | 0.913203i | ||||
\(115\) | 3.38370 | + | 9.96805i | 0.315531 | + | 0.929525i | ||||
\(116\) | 1.21983 | − | 8.51691i | 0.113258 | − | 0.790775i | ||||
\(117\) | −6.28244 | − | 1.23892i | −0.580812 | − | 0.114538i | ||||
\(118\) | 2.84877 | + | 0.486966i | 0.262250 | + | 0.0448289i | ||||
\(119\) | 15.9982 | − | 2.10620i | 1.46655 | − | 0.193075i | ||||
\(120\) | 18.8087 | + | 7.42941i | 1.71699 | + | 0.678210i | ||||
\(121\) | −10.8478 | − | 1.42813i | −0.986160 | − | 0.129830i | ||||
\(122\) | −0.805662 | + | 2.60262i | −0.0729412 | + | 0.235630i | ||||
\(123\) | 12.3724 | − | 1.63921i | 1.11558 | − | 0.147802i | ||||
\(124\) | 17.5354 | + | 3.69551i | 1.57472 | + | 0.331866i | ||||
\(125\) | −24.1638 | + | 16.1457i | −2.16128 | + | 1.44412i | ||||
\(126\) | −0.289539 | − | 10.0891i | −0.0257942 | − | 0.898806i | ||||
\(127\) | 3.86154 | 0.342656 | 0.171328 | − | 0.985214i | \(-0.445194\pi\) | ||||
0.171328 | + | 0.985214i | \(0.445194\pi\) | |||||||
\(128\) | −10.1116 | − | 5.07507i | −0.893744 | − | 0.448577i | ||||
\(129\) | 6.54840 | − | 9.81784i | 0.576555 | − | 0.864412i | ||||
\(130\) | −9.67700 | + | 7.85018i | −0.848729 | + | 0.688506i | ||||
\(131\) | −0.466711 | − | 7.12063i | −0.0407767 | − | 0.622132i | −0.968523 | − | 0.248922i | \(-0.919924\pi\) |
0.927747 | − | 0.373210i | \(-0.121743\pi\) | |||||||
\(132\) | −0.807943 | − | 0.225636i | −0.0703224 | − | 0.0196391i | ||||
\(133\) | −11.7324 | − | 13.3783i | −1.01733 | − | 1.16004i | ||||
\(134\) | 8.72199 | − | 1.98153i | 0.753465 | − | 0.171178i | ||||
\(135\) | −20.3282 | − | 6.84463i | −1.74957 | − | 0.589092i | ||||
\(136\) | −5.88093 | + | 18.2610i | −0.504285 | + | 1.56587i | ||||
\(137\) | −2.50896 | + | 0.330311i | −0.214355 | + | 0.0282204i | −0.236939 | − | 0.971525i | \(-0.576144\pi\) |
0.0225838 | + | 0.999745i | \(0.492811\pi\) | |||||||
\(138\) | 1.78419 | + | 5.98619i | 0.151880 | + | 0.509578i | ||||
\(139\) | −2.49511 | − | 5.05958i | −0.211632 | − | 0.429148i | 0.765010 | − | 0.644018i | \(-0.222734\pi\) |
−0.976643 | + | 0.214870i | \(0.931067\pi\) | |||||||
\(140\) | −15.4453 | − | 12.1328i | −1.30537 | − | 1.02541i | ||||
\(141\) | −11.7919 | + | 11.8113i | −0.993058 | + | 0.994692i | ||||
\(142\) | −11.0727 | + | 6.79853i | −0.929196 | + | 0.570520i | ||||
\(143\) | 0.365489 | − | 0.365489i | 0.0305637 | − | 0.0305637i | ||||
\(144\) | 10.9873 | + | 4.82476i | 0.915612 | + | 0.402063i | ||||
\(145\) | 12.5569 | + | 12.5569i | 1.04280 | + | 1.04280i | ||||
\(146\) | 10.2991 | + | 2.46315i | 0.852358 | + | 0.203852i | ||||
\(147\) | 0.599032 | − | 2.24299i | 0.0494073 | − | 0.184999i | ||||
\(148\) | 2.52373 | + | 4.48818i | 0.207449 | + | 0.368926i | ||||
\(149\) | −1.73654 | + | 0.856365i | −0.142263 | + | 0.0701562i | −0.512027 | − | 0.858969i | \(-0.671105\pi\) |
0.369764 | + | 0.929126i | \(0.379438\pi\) | |||||||
\(150\) | −25.1202 | + | 15.4521i | −2.05106 | + | 1.26166i | ||||
\(151\) | −1.08069 | − | 8.20868i | −0.0879456 | − | 0.668013i | −0.977462 | − | 0.211110i | \(-0.932292\pi\) |
0.889517 | − | 0.456903i | \(-0.151041\pi\) | |||||||
\(152\) | 20.3463 | − | 5.79540i | 1.65031 | − | 0.470069i | ||||
\(153\) | 5.23423 | − | 19.6637i | 0.423163 | − | 1.58971i | ||||
\(154\) | 0.689405 | + | 0.434147i | 0.0555538 | + | 0.0349846i | ||||
\(155\) | −27.8089 | + | 24.3877i | −2.23366 | + | 1.95887i | ||||
\(156\) | −5.91319 | + | 4.43916i | −0.473434 | + | 0.355418i | ||||
\(157\) | 18.3630 | − | 1.20357i | 1.46552 | − | 0.0960555i | 0.688367 | − | 0.725363i | \(-0.258328\pi\) |
0.777156 | + | 0.629307i | \(0.216661\pi\) | |||||||
\(158\) | 1.91503 | − | 18.3735i | 0.152352 | − | 1.46171i | ||||
\(159\) | −3.04619 | + | 1.50533i | −0.241579 | + | 0.119380i | ||||
\(160\) | 20.8982 | − | 10.4187i | 1.65215 | − | 0.823669i | ||||
\(161\) | − | 6.06665i | − | 0.478119i | ||||||
\(162\) | −11.9014 | − | 4.51188i | −0.935061 | − | 0.354486i | ||||
\(163\) | −4.09695 | − | 6.13151i | −0.320898 | − | 0.480257i | 0.635591 | − | 0.772026i | \(-0.280756\pi\) |
−0.956489 | + | 0.291769i | \(0.905756\pi\) | |||||||
\(164\) | 8.14205 | − | 11.8909i | 0.635787 | − | 0.928520i | ||||
\(165\) | 1.37274 | − | 1.05513i | 0.106868 | − | 0.0821420i | ||||
\(166\) | −0.355268 | − | 0.673836i | −0.0275742 | − | 0.0522998i | ||||
\(167\) | −0.0770195 | + | 0.585021i | −0.00595995 | + | 0.0452703i | −0.994166 | − | 0.107857i | \(-0.965601\pi\) |
0.988206 | + | 0.153127i | \(0.0489345\pi\) | |||||||
\(168\) | −8.88811 | − | 7.53872i | −0.685733 | − | 0.581625i | ||||
\(169\) | 1.10216 | + | 8.37176i | 0.0847818 | + | 0.643982i | ||||
\(170\) | −22.8811 | − | 32.3166i | −1.75490 | − | 2.47857i | ||||
\(171\) | −21.2362 | + | 7.24767i | −1.62397 | + | 0.554243i | ||||
\(172\) | −3.37722 | − | 13.2019i | −0.257511 | − | 1.00663i | ||||
\(173\) | 17.9021 | − | 6.07695i | 1.36107 | − | 0.462022i | 0.457025 | − | 0.889454i | \(-0.348915\pi\) |
0.904048 | + | 0.427432i | \(0.140582\pi\) | |||||||
\(174\) | 7.16591 | + | 7.72582i | 0.543246 | + | 0.585693i | ||||
\(175\) | 27.6675 | − | 7.41347i | 2.09146 | − | 0.560406i | ||||
\(176\) | −0.817401 | + | 0.519712i | −0.0616139 | + | 0.0391747i | ||||
\(177\) | −2.65931 | + | 2.33602i | −0.199886 | + | 0.175586i | ||||
\(178\) | −7.00061 | − | 11.4018i | −0.524718 | − | 0.854598i | ||||
\(179\) | −17.8023 | − | 3.54110i | −1.33061 | − | 0.264674i | −0.521961 | − | 0.852969i | \(-0.674799\pi\) |
−0.808646 | + | 0.588295i | \(0.799799\pi\) | |||||||
\(180\) | −21.5688 | + | 12.1750i | −1.60765 | + | 0.907471i | ||||
\(181\) | 4.32029 | − | 6.46577i | 0.321125 | − | 0.480597i | −0.635427 | − | 0.772161i | \(-0.719176\pi\) |
0.956551 | + | 0.291564i | \(0.0941757\pi\) | |||||||
\(182\) | 6.73523 | − | 2.49139i | 0.499249 | − | 0.184674i | ||||
\(183\) | −1.85609 | − | 2.77290i | −0.137206 | − | 0.204979i | ||||
\(184\) | 6.51817 | + | 3.08823i | 0.480526 | + | 0.227667i | ||||
\(185\) | −10.5367 | − | 1.38718i | −0.774673 | − | 0.101988i | ||||
\(186\) | −17.0335 | + | 13.8412i | −1.24896 | + | 1.01488i | ||||
\(187\) | 1.08298 | + | 1.23490i | 0.0791953 | + | 0.0903049i | ||||
\(188\) | 1.04197 | + | 19.2438i | 0.0759935 | + | 1.40350i | ||||
\(189\) | 9.82566 | + | 7.50107i | 0.714712 | + | 0.545623i | ||||
\(190\) | −15.6128 | + | 40.7782i | −1.13267 | + | 2.95836i | ||||
\(191\) | −3.53644 | − | 6.12529i | −0.255888 | − | 0.443211i | 0.709248 | − | 0.704959i | \(-0.249034\pi\) |
−0.965136 | + | 0.261748i | \(0.915701\pi\) | |||||||
\(192\) | 12.6243 | − | 5.71203i | 0.911080 | − | 0.412230i | ||||
\(193\) | 12.0090 | − | 20.8002i | 0.864428 | − | 1.49723i | −0.00318514 | − | 0.999995i | \(-0.501014\pi\) |
0.867614 | − | 0.497239i | \(-0.165653\pi\) | |||||||
\(194\) | 5.82836 | + | 7.18468i | 0.418452 | + | 0.515830i | ||||
\(195\) | −0.0125439 | − | 15.2612i | −0.000898286 | − | 1.09288i | ||||
\(196\) | −1.46394 | − | 2.24574i | −0.104567 | − | 0.160410i | ||||
\(197\) | 11.5756 | − | 2.30254i | 0.824730 | − | 0.164049i | 0.235356 | − | 0.971909i | \(-0.424374\pi\) |
0.589374 | + | 0.807860i | \(0.299374\pi\) | |||||||
\(198\) | 0.837516 | − | 0.595056i | 0.0595197 | − | 0.0422888i | ||||
\(199\) | −4.08960 | − | 9.87317i | −0.289904 | − | 0.699891i | 0.710087 | − | 0.704114i | \(-0.248656\pi\) |
−0.999991 | + | 0.00422342i | \(0.998656\pi\) | |||||||
\(200\) | −6.11890 | + | 33.5005i | −0.432672 | + | 2.36884i | ||||
\(201\) | −4.83694 | + | 9.82870i | −0.341171 | + | 0.693263i | ||||
\(202\) | 17.8313 | + | 14.8040i | 1.25461 | + | 1.04161i | ||||
\(203\) | −4.52648 | − | 9.17880i | −0.317697 | − | 0.644225i | ||||
\(204\) | −12.8473 | − | 19.6729i | −0.899492 | − | 1.37738i | ||||
\(205\) | 9.56112 | + | 28.1662i | 0.667778 | + | 1.96721i | ||||
\(206\) | −12.7250 | + | 0.344252i | −0.886595 | + | 0.0239852i | ||||
\(207\) | −7.07273 | − | 2.91601i | −0.491589 | − | 0.202677i | ||||
\(208\) | −0.751757 | + | 8.50475i | −0.0521250 | + | 0.589698i | ||||
\(209\) | 0.468786 | − | 1.74953i | 0.0324266 | − | 0.121018i | ||||
\(210\) | 23.4529 | − | 5.34849i | 1.61840 | − | 0.369081i | ||||
\(211\) | 7.31042 | + | 6.41106i | 0.503270 | + | 0.441356i | 0.872955 | − | 0.487801i | \(-0.162201\pi\) |
−0.369685 | + | 0.929157i | \(0.620534\pi\) | |||||||
\(212\) | −1.05845 | + | 3.77802i | −0.0726944 | + | 0.259475i | ||||
\(213\) | 2.06414 | − | 15.7789i | 0.141433 | − | 1.08115i | ||||
\(214\) | 1.71705 | − | 3.73307i | 0.117375 | − | 0.255188i | ||||
\(215\) | 25.9850 | + | 10.7633i | 1.77216 | + | 0.734053i | ||||
\(216\) | −13.0611 | + | 6.73852i | −0.888695 | + | 0.458498i | ||||
\(217\) | 19.6938 | − | 8.15745i | 1.33690 | − | 0.553764i | ||||
\(218\) | −0.962568 | − | 0.0369840i | −0.0651934 | − | 0.00250487i | ||||
\(219\) | −10.2829 | + | 7.90377i | −0.694853 | + | 0.534087i | ||||
\(220\) | 0.153404 | − | 1.99334i | 0.0103425 | − | 0.134391i | ||||
\(221\) | 14.4467 | − | 0.946889i | 0.971792 | − | 0.0636946i | ||||
\(222\) | −6.21701 | − | 1.05747i | −0.417258 | − | 0.0709729i | ||||
\(223\) | −6.44219 | + | 3.71940i | −0.431401 | + | 0.249069i | −0.699943 | − | 0.714199i | \(-0.746791\pi\) |
0.268542 | + | 0.963268i | \(0.413458\pi\) | |||||||
\(224\) | −13.3348 | + | 1.81437i | −0.890966 | + | 0.121228i | ||||
\(225\) | 4.65579 | − | 35.8191i | 0.310386 | − | 2.38794i | ||||
\(226\) | −2.90536 | + | 1.29657i | −0.193262 | + | 0.0862463i | ||||
\(227\) | −2.93003 | + | 5.94151i | −0.194473 | + | 0.394352i | −0.972166 | − | 0.234292i | \(-0.924723\pi\) |
0.777694 | + | 0.628644i | \(0.216390\pi\) | |||||||
\(228\) | −10.1670 | + | 23.8321i | −0.673329 | + | 1.57832i | ||||
\(229\) | 20.8899 | + | 7.09118i | 1.38045 | + | 0.468598i | 0.910285 | − | 0.413982i | \(-0.135862\pi\) |
0.470161 | + | 0.882580i | \(0.344196\pi\) | |||||||
\(230\) | −13.1688 | + | 6.94302i | −0.868325 | + | 0.457809i | ||||
\(231\) | −0.944602 | + | 0.321515i | −0.0621502 | + | 0.0211542i | ||||
\(232\) | 12.1661 | − | 0.190899i | 0.798746 | − | 0.0125331i | ||||
\(233\) | −8.34457 | − | 3.45644i | −0.546671 | − | 0.226439i | 0.0922160 | − | 0.995739i | \(-0.470605\pi\) |
−0.638887 | + | 0.769300i | \(0.720605\pi\) | |||||||
\(234\) | 0.332812 | − | 9.04970i | 0.0217566 | − | 0.591598i | ||||
\(235\) | −33.0734 | − | 22.0989i | −2.15747 | − | 1.44158i | ||||
\(236\) | −0.0464166 | + | 4.08694i | −0.00302146 | + | 0.266037i | ||||
\(237\) | 16.0112 | + | 15.9849i | 1.04004 | + | 1.03833i | ||||
\(238\) | 6.50022 | + | 21.8747i | 0.421346 | + | 1.41793i | ||||
\(239\) | 11.2922 | − | 3.02573i | 0.730431 | − | 0.195718i | 0.125610 | − | 0.992080i | \(-0.459911\pi\) |
0.604821 | + | 0.796361i | \(0.293245\pi\) | |||||||
\(240\) | −6.19215 | + | 27.9210i | −0.399701 | + | 1.80230i | ||||
\(241\) | −15.5824 | − | 4.17528i | −1.00375 | − | 0.268954i | −0.280733 | − | 0.959786i | \(-0.590578\pi\) |
−0.723015 | + | 0.690832i | \(0.757244\pi\) | |||||||
\(242\) | −0.418451 | − | 15.4678i | −0.0268990 | − | 0.994305i | ||||
\(243\) | 13.4679 | − | 7.84964i | 0.863963 | − | 0.503555i | ||||
\(244\) | −3.81405 | − | 0.546264i | −0.244170 | − | 0.0349709i | ||||
\(245\) | 5.52120 | + | 0.361879i | 0.352737 | + | 0.0231196i | ||||
\(246\) | 5.04148 | + | 16.9148i | 0.321433 | + | 1.07845i | ||||
\(247\) | −9.71895 | − | 12.6660i | −0.618402 | − | 0.805917i | ||||
\(248\) | −1.26058 | + | 25.3121i | −0.0800466 | + | 1.60732i | ||||
\(249\) | 0.915179 | + | 0.181258i | 0.0579971 | + | 0.0114868i | ||||
\(250\) | −27.9243 | − | 30.1559i | −1.76609 | − | 1.90723i | ||||
\(251\) | 5.47133 | − | 1.08832i | 0.345347 | − | 0.0686938i | −0.0193694 | − | 0.999812i | \(-0.506166\pi\) |
0.364717 | + | 0.931119i | \(0.381166\pi\) | |||||||
\(252\) | 14.0261 | − | 2.64861i | 0.883561 | − | 0.166847i | ||||
\(253\) | 0.513452 | − | 0.343078i | 0.0322805 | − | 0.0215691i | ||||
\(254\) | 0.858968 | + | 5.39306i | 0.0538965 | + | 0.338391i | ||||
\(255\) | 48.3948 | + | 3.13202i | 3.03060 | + | 0.196134i | ||||
\(256\) | 4.83866 | − | 15.2508i | 0.302416 | − | 0.953176i | ||||
\(257\) | 2.25901 | − | 3.91271i | 0.140913 | − | 0.244068i | −0.786928 | − | 0.617045i | \(-0.788330\pi\) |
0.927841 | + | 0.372977i | \(0.121663\pi\) | |||||||
\(258\) | 15.1683 | + | 6.96167i | 0.944339 | + | 0.433414i | ||||
\(259\) | 5.49318 | + | 2.70893i | 0.341329 | + | 0.168325i | ||||
\(260\) | −13.1162 | − | 11.7688i | −0.813433 | − | 0.729869i | ||||
\(261\) | −12.8767 | + | 0.865244i | −0.797047 | + | 0.0535573i | ||||
\(262\) | 9.84093 | − | 2.23574i | 0.607975 | − | 0.138125i | ||||
\(263\) | −8.34226 | + | 10.8718i | −0.514406 | + | 0.670387i | −0.976268 | − | 0.216565i | \(-0.930515\pi\) |
0.461862 | + | 0.886952i | \(0.347181\pi\) | |||||||
\(264\) | 0.135406 | − | 1.17857i | 0.00833364 | − | 0.0725361i | ||||
\(265\) | −4.92976 | − | 6.42459i | −0.302833 | − | 0.394659i | ||||
\(266\) | 16.0744 | − | 19.3615i | 0.985586 | − | 1.18713i | ||||
\(267\) | 16.2479 | + | 2.12550i | 0.994358 | + | 0.130078i | ||||
\(268\) | 4.70756 | + | 11.7404i | 0.287560 | + | 0.717162i | ||||
\(269\) | −11.3863 | − | 2.26488i | −0.694237 | − | 0.138092i | −0.164655 | − | 0.986351i | \(-0.552651\pi\) |
−0.529582 | + | 0.848259i | \(0.677651\pi\) | |||||||
\(270\) | 5.03744 | − | 29.9131i | 0.306569 | − | 1.82045i | ||||
\(271\) | 6.97499 | − | 6.97499i | 0.423700 | − | 0.423700i | −0.462775 | − | 0.886476i | \(-0.653146\pi\) |
0.886476 | + | 0.462775i | \(0.153146\pi\) | |||||||
\(272\) | −26.8117 | − | 4.15134i | −1.62570 | − | 0.251712i | ||||
\(273\) | −2.82028 | + | 8.33076i | −0.170691 | + | 0.504201i | ||||
\(274\) | −1.01941 | − | 3.43056i | −0.0615850 | − | 0.207248i | ||||
\(275\) | 2.19207 | + | 1.92240i | 0.132187 | + | 0.115925i | ||||
\(276\) | −7.96349 | + | 3.82340i | −0.479346 | + | 0.230141i | ||||
\(277\) | −1.76616 | + | 26.9464i | −0.106118 | + | 1.61905i | 0.530371 | + | 0.847765i | \(0.322052\pi\) |
−0.636490 | + | 0.771285i | \(0.719614\pi\) | |||||||
\(278\) | 6.51124 | − | 4.61015i | 0.390518 | − | 0.276499i | ||||
\(279\) | −0.0441891 | − | 26.8808i | −0.00264553 | − | 1.60931i | ||||
\(280\) | 13.5091 | − | 24.2700i | 0.807321 | − | 1.45041i | ||||
\(281\) | −5.22254 | − | 4.00739i | −0.311550 | − | 0.239061i | 0.441136 | − | 0.897440i | \(-0.354576\pi\) |
−0.752686 | + | 0.658379i | \(0.771242\pi\) | |||||||
\(282\) | −19.1188 | − | 13.8414i | −1.13851 | − | 0.824241i | ||||
\(283\) | −13.8120 | − | 4.68854i | −0.821039 | − | 0.278705i | −0.120857 | − | 0.992670i | \(-0.538564\pi\) |
−0.700181 | + | 0.713965i | \(0.746898\pi\) | |||||||
\(284\) | −11.9579 | − | 13.9519i | −0.709572 | − | 0.827893i | ||||
\(285\) | −26.7772 | − | 46.2916i | −1.58615 | − | 2.74208i | ||||
\(286\) | 0.591746 | + | 0.429146i | 0.0349907 | + | 0.0253759i | ||||
\(287\) | − | 17.1422i | − | 1.01187i | ||||||
\(288\) | −4.29425 | + | 16.4183i | −0.253041 | + | 0.967455i | ||||
\(289\) | 29.0063i | 1.70625i | ||||||||
\(290\) | −14.7439 | + | 20.3303i | −0.865793 | + | 1.19384i | ||||
\(291\) | −11.3307 | + | 0.00931319i | −0.664216 | + | 0.000545949i | ||||
\(292\) | −1.14912 | + | 14.9317i | −0.0672469 | + | 0.873812i | ||||
\(293\) | 10.5561 | + | 3.58330i | 0.616692 | + | 0.209339i | 0.612266 | − | 0.790652i | \(-0.290258\pi\) |
0.00442540 | + | 0.999990i | \(0.498591\pi\) | |||||||
\(294\) | 3.26583 | + | 0.337679i | 0.190467 | + | 0.0196938i | ||||
\(295\) | −6.69267 | − | 5.13546i | −0.389662 | − | 0.298998i | ||||
\(296\) | −5.70685 | + | 4.52302i | −0.331704 | + | 0.262895i | ||||
\(297\) | −0.0791996 | + | 1.25579i | −0.00459563 | + | 0.0728685i | ||||
\(298\) | −1.58229 | − | 2.23477i | −0.0916595 | − | 0.129457i | ||||
\(299\) | 0.355996 | − | 5.43146i | 0.0205878 | − | 0.314109i | ||||
\(300\) | −27.1683 | − | 31.6459i | −1.56856 | − | 1.82708i | ||||
\(301\) | −12.1868 | − | 10.6875i | −0.702435 | − | 0.616019i | ||||
\(302\) | 11.2239 | − | 3.33526i | 0.645865 | − | 0.191923i | ||||
\(303\) | −27.8344 | + | 5.56039i | −1.59904 | + | 0.319436i | ||||
\(304\) | 12.6198 | + | 27.1268i | 0.723795 | + | 1.55583i | ||||
\(305\) | 5.62325 | − | 5.62325i | 0.321987 | − | 0.321987i | ||||
\(306\) | 28.6268 | + | 2.93616i | 1.63648 | + | 0.167849i | ||||
\(307\) | −11.6556 | − | 2.31843i | −0.665218 | − | 0.132320i | −0.149079 | − | 0.988825i | \(-0.547631\pi\) |
−0.516138 | + | 0.856505i | \(0.672631\pi\) | |||||||
\(308\) | −0.452982 | + | 1.05940i | −0.0258110 | + | 0.0603651i | ||||
\(309\) | 9.48080 | − | 12.3767i | 0.539344 | − | 0.704084i | ||||
\(310\) | −40.2460 | − | 33.4133i | −2.28582 | − | 1.89775i | ||||
\(311\) | 3.49502 | + | 4.55480i | 0.198185 | + | 0.258279i | 0.881865 | − | 0.471503i | \(-0.156288\pi\) |
−0.683680 | + | 0.729782i | \(0.739622\pi\) | |||||||
\(312\) | −7.51512 | − | 7.27096i | −0.425460 | − | 0.411637i | ||||
\(313\) | −4.87208 | + | 6.34942i | −0.275386 | + | 0.358890i | −0.910486 | − | 0.413540i | \(-0.864292\pi\) |
0.635100 | + | 0.772430i | \(0.280959\pi\) | |||||||
\(314\) | 5.76561 | + | 25.3782i | 0.325372 | + | 1.43217i | ||||
\(315\) | −12.9869 | + | 26.4444i | −0.731731 | + | 1.48997i | ||||
\(316\) | 26.0865 | − | 1.41248i | 1.46748 | − | 0.0794581i | ||||
\(317\) | −21.1739 | − | 10.4418i | −1.18925 | − | 0.586472i | −0.263516 | − | 0.964655i | \(-0.584882\pi\) |
−0.925731 | + | 0.378183i | \(0.876549\pi\) | |||||||
\(318\) | −2.77996 | − | 3.91949i | −0.155892 | − | 0.219794i | ||||
\(319\) | 0.520870 | − | 0.902173i | 0.0291631 | − | 0.0505120i | ||||
\(320\) | 19.1995 | + | 26.8691i | 1.07328 | + | 1.50203i | ||||
\(321\) | 2.22953 | + | 4.51169i | 0.124440 | + | 0.251818i | ||||
\(322\) | 8.47275 | − | 1.34948i | 0.472168 | − | 0.0752035i | ||||
\(323\) | 42.1828 | − | 28.1857i | 2.34712 | − | 1.56829i | ||||
\(324\) | 3.65396 | − | 17.6252i | 0.202998 | − | 0.979179i | ||||
\(325\) | 25.2056 | − | 5.01371i | 1.39816 | − | 0.278111i | ||||
\(326\) | 7.65200 | − | 7.08574i | 0.423805 | − | 0.392443i | ||||
\(327\) | 0.777147 | − | 0.887637i | 0.0429763 | − | 0.0490865i | ||||
\(328\) | 18.4180 | + | 8.72624i | 1.01697 | + | 0.481826i | ||||
\(329\) | 13.9552 | + | 18.1868i | 0.769376 | + | 1.00267i | ||||
\(330\) | 1.77896 | + | 1.68247i | 0.0979288 | + | 0.0926172i | ||||
\(331\) | −29.7933 | − | 1.95276i | −1.63759 | − | 0.107333i | −0.781413 | − | 0.624015i | \(-0.785501\pi\) |
−0.856178 | + | 0.516681i | \(0.827167\pi\) | |||||||
\(332\) | 0.862060 | − | 0.646061i | 0.0473117 | − | 0.0354572i | ||||
\(333\) | 5.79854 | − | 5.10207i | 0.317758 | − | 0.279592i | ||||
\(334\) | −0.834179 | + | 0.0225671i | −0.0456443 | + | 0.00123482i | ||||
\(335\) | −25.2179 | − | 6.75712i | −1.37780 | − | 0.369181i | ||||
\(336\) | 8.55156 | − | 14.0902i | 0.466526 | − | 0.768681i | ||||
\(337\) | −9.94858 | + | 2.66571i | −0.541933 | + | 0.145211i | −0.519393 | − | 0.854535i | \(-0.673842\pi\) |
−0.0225402 | + | 0.999746i | \(0.507175\pi\) | |||||||
\(338\) | −11.4469 | + | 3.40153i | −0.622631 | + | 0.185019i | ||||
\(339\) | 1.00541 | − | 3.76463i | 0.0546066 | − | 0.204467i | ||||
\(340\) | 40.0440 | − | 39.1446i | 2.17169 | − | 2.12291i | ||||
\(341\) | 1.80412 | + | 1.20548i | 0.0976986 | + | 0.0652801i | ||||
\(342\) | −14.8460 | − | 28.0465i | −0.802780 | − | 1.51658i | ||||
\(343\) | −18.3314 | − | 7.59310i | −0.989801 | − | 0.409989i | ||||
\(344\) | 17.6866 | − | 7.65331i | 0.953600 | − | 0.412639i | ||||
\(345\) | 3.54234 | − | 17.8854i | 0.190713 | − | 0.962915i | ||||
\(346\) | 12.4693 | + | 23.6505i | 0.670355 | + | 1.27146i | ||||
\(347\) | 4.41484 | + | 1.49864i | 0.237001 | + | 0.0804511i | 0.437413 | − | 0.899261i | \(-0.355895\pi\) |
−0.200412 | + | 0.979712i | \(0.564228\pi\) | |||||||
\(348\) | −9.19596 | + | 11.7265i | −0.492955 | + | 0.628608i | ||||
\(349\) | −7.15795 | + | 14.5149i | −0.383156 | + | 0.776964i | −0.999948 | − | 0.0101620i | \(-0.996765\pi\) |
0.616792 | + | 0.787126i | \(0.288432\pi\) | |||||||
\(350\) | 16.5081 | + | 36.9916i | 0.882397 | + | 1.97728i | ||||
\(351\) | 8.35672 | + | 7.29227i | 0.446049 | + | 0.389232i | ||||
\(352\) | −0.907659 | − | 1.02598i | −0.0483784 | − | 0.0546852i | ||||
\(353\) | −30.3767 | + | 17.5380i | −1.61679 | + | 0.933455i | −0.629048 | + | 0.777367i | \(0.716555\pi\) |
−0.987743 | + | 0.156088i | \(0.950112\pi\) | |||||||
\(354\) | −3.85405 | − | 3.19439i | −0.204840 | − | 0.169780i | ||||
\(355\) | 37.8449 | − | 2.48049i | 2.00860 | − | 0.131651i | ||||
\(356\) | 14.3666 | − | 12.3134i | 0.761428 | − | 0.652606i | ||||
\(357\) | −25.8301 | − | 10.6743i | −1.36707 | − | 0.564945i | ||||
\(358\) | 0.985552 | − | 25.6506i | 0.0520881 | − | 1.35568i | ||||
\(359\) | −7.36716 | + | 3.05158i | −0.388824 | + | 0.161056i | −0.568527 | − | 0.822665i | \(-0.692486\pi\) |
0.179703 | + | 0.983721i | \(0.442486\pi\) | |||||||
\(360\) | −21.8015 | − | 27.4150i | −1.14904 | − | 1.44490i | ||||
\(361\) | −34.1327 | − | 14.1382i | −1.79646 | − | 0.744118i | ||||
\(362\) | 9.99117 | + | 4.59550i | 0.525124 | + | 0.241534i | ||||
\(363\) | 15.0443 | + | 11.5243i | 0.789621 | + | 0.604867i | ||||
\(364\) | 4.97770 | + | 8.85230i | 0.260903 | + | 0.463987i | ||||
\(365\) | −23.2393 | − | 20.3804i | −1.21640 | − | 1.06676i | ||||
\(366\) | 3.45979 | − | 3.20905i | 0.180846 | − | 0.167739i | ||||
\(367\) | 2.72533 | − | 10.1711i | 0.142261 | − | 0.530926i | −0.857601 | − | 0.514316i | \(-0.828046\pi\) |
0.999862 | − | 0.0166103i | \(-0.00528747\pi\) | |||||||
\(368\) | −2.86314 | + | 9.79029i | −0.149251 | + | 0.510354i | ||||
\(369\) | −19.9850 | − | 8.23960i | −1.04038 | − | 0.428937i | ||||
\(370\) | −0.406452 | − | 15.0242i | −0.0211304 | − | 0.781072i | ||||
\(371\) | 1.50015 | + | 4.41930i | 0.0778839 | + | 0.229439i | ||||
\(372\) | −23.1197 | − | 20.7103i | −1.19870 | − | 1.07378i | ||||
\(373\) | −1.78418 | − | 3.61796i | −0.0923814 | − | 0.187331i | 0.845778 | − | 0.533536i | \(-0.179137\pi\) |
−0.938159 | + | 0.346205i | \(0.887470\pi\) | |||||||
\(374\) | −1.48377 | + | 1.78719i | −0.0767242 | + | 0.0924136i | ||||
\(375\) | 50.2256 | − | 3.33342i | 2.59364 | − | 0.172137i | ||||
\(376\) | −26.6443 | + | 5.73585i | −1.37407 | + | 0.295804i | ||||
\(377\) | −3.51393 | − | 8.48337i | −0.180976 | − | 0.436916i | ||||
\(378\) | −8.29043 | + | 15.3912i | −0.426414 | + | 0.791637i | ||||
\(379\) | 3.14791 | − | 0.626159i | 0.161697 | − | 0.0321636i | −0.113578 | − | 0.993529i | \(-0.536231\pi\) |
0.275275 | + | 0.961366i | \(0.411231\pi\) | |||||||
\(380\) | −60.4242 | − | 12.7342i | −3.09970 | − | 0.653248i | ||||
\(381\) | −5.79505 | − | 3.33943i | −0.296890 | − | 0.171084i | ||||
\(382\) | 7.76799 | − | 6.30155i | 0.397445 | − | 0.322415i | ||||
\(383\) | −5.23985 | + | 9.07569i | −0.267744 | + | 0.463746i | −0.968279 | − | 0.249872i | \(-0.919611\pi\) |
0.700535 | + | 0.713618i | \(0.252945\pi\) | |||||||
\(384\) | 10.7856 | + | 16.3606i | 0.550403 | + | 0.834899i | ||||
\(385\) | −1.18905 | − | 2.05949i | −0.0605993 | − | 0.104961i | ||||
\(386\) | 31.7211 | + | 12.1451i | 1.61456 | + | 0.618168i | ||||
\(387\) | −18.3177 | + | 9.07073i | −0.931139 | + | 0.461091i | ||||
\(388\) | −8.73773 | + | 9.73812i | −0.443591 | + | 0.494378i | ||||
\(389\) | 5.58015 | + | 6.36294i | 0.282925 | + | 0.322614i | 0.875794 | − | 0.482685i | \(-0.160338\pi\) |
−0.592869 | + | 0.805299i | \(0.702005\pi\) | |||||||
\(390\) | 21.3112 | − | 3.41225i | 1.07913 | − | 0.172786i | ||||
\(391\) | 17.1488 | + | 2.25768i | 0.867250 | + | 0.114176i | ||||
\(392\) | 2.81078 | − | 2.54410i | 0.141966 | − | 0.128496i | ||||
\(393\) | −5.45747 | + | 11.0896i | −0.275293 | + | 0.559397i | ||||
\(394\) | 5.79065 | + | 15.6545i | 0.291729 | + | 0.788660i | ||||
\(395\) | −29.9570 | + | 44.8338i | −1.50730 | + | 2.25583i | ||||
\(396\) | 1.01736 | + | 1.03732i | 0.0511243 | + | 0.0521272i | ||||
\(397\) | 17.9019 | + | 3.56090i | 0.898468 | + | 0.178716i | 0.622657 | − | 0.782495i | \(-0.286053\pi\) |
0.275812 | + | 0.961212i | \(0.411053\pi\) | |||||||
\(398\) | 12.8793 | − | 7.90779i | 0.645580 | − | 0.396382i | ||||
\(399\) | 6.03756 | + | 30.2230i | 0.302256 | + | 1.51304i | ||||
\(400\) | −48.1482 | − | 1.09381i | −2.40741 | − | 0.0546904i | ||||
\(401\) | 18.4467 | − | 4.94278i | 0.921184 | − | 0.246831i | 0.233093 | − | 0.972455i | \(-0.425115\pi\) |
0.688091 | + | 0.725624i | \(0.258449\pi\) | |||||||
\(402\) | −14.8028 | − | 4.56900i | −0.738297 | − | 0.227881i | ||||
\(403\) | 18.1105 | − | 6.14769i | 0.902149 | − | 0.306238i | ||||
\(404\) | −16.7090 | + | 28.1964i | −0.831303 | + | 1.40282i | ||||
\(405\) | 24.5876 | + | 27.8515i | 1.22177 | + | 1.38395i | ||||
\(406\) | 11.8123 | − | 8.36348i | 0.586236 | − | 0.415073i | ||||
\(407\) | 0.0813757 | + | 0.618110i | 0.00403364 | + | 0.0306386i | ||||
\(408\) | 24.6176 | − | 22.3188i | 1.21875 | − | 1.10494i | ||||
\(409\) | −2.37177 | + | 18.0154i | −0.117277 | + | 0.890805i | 0.827127 | + | 0.562016i | \(0.189974\pi\) |
−0.944403 | + | 0.328789i | \(0.893359\pi\) | |||||||
\(410\) | −37.2103 | + | 19.6185i | −1.83769 | + | 0.968889i | ||||
\(411\) | 4.05088 | + | 1.67403i | 0.199815 | + | 0.0825737i | ||||
\(412\) | −3.31137 | − | 17.6953i | −0.163139 | − | 0.871787i | ||||
\(413\) | 2.70102 | + | 4.04237i | 0.132909 | + | 0.198912i | ||||
\(414\) | 2.49925 | − | 10.5265i | 0.122832 | − | 0.517349i | ||||
\(415\) | 2.22350i | 0.109147i | ||||||||
\(416\) | −12.0450 | + | 0.841903i | −0.590557 | + | 0.0412777i | ||||
\(417\) | −0.631047 | + | 9.75071i | −0.0309025 | + | 0.477495i | ||||
\(418\) | 2.54769 | + | 0.265542i | 0.124612 | + | 0.0129881i | ||||
\(419\) | −26.5500 | + | 1.74018i | −1.29705 | + | 0.0850133i | −0.698233 | − | 0.715871i | \(-0.746030\pi\) |
−0.598819 | + | 0.800884i | \(0.704363\pi\) | |||||||
\(420\) | 12.6867 | + | 31.5648i | 0.619046 | + | 1.54021i | ||||
\(421\) | −3.99837 | + | 3.50648i | −0.194869 | + | 0.170895i | −0.751220 | − | 0.660052i | \(-0.770534\pi\) |
0.556351 | + | 0.830947i | \(0.312201\pi\) | |||||||
\(422\) | −7.32761 | + | 11.6359i | −0.356703 | + | 0.566426i | ||||
\(423\) | 27.9106 | − | 7.52782i | 1.35706 | − | 0.366015i | ||||
\(424\) | −5.51186 | − | 0.637846i | −0.267680 | − | 0.0309765i | ||||
\(425\) | 10.6595 | + | 80.9672i | 0.517064 | + | 3.92749i | ||||
\(426\) | 22.4962 | − | 0.627096i | 1.08994 | − | 0.0303829i | ||||
\(427\) | −4.11046 | + | 2.02705i | −0.198919 | + | 0.0980960i | ||||
\(428\) | 5.59559 | + | 1.56766i | 0.270473 | + | 0.0757755i | ||||
\(429\) | −0.864566 | + | 0.232422i | −0.0417416 | + | 0.0112214i | ||||
\(430\) | −9.25203 | + | 38.6851i | −0.446172 | + | 1.86556i | ||||
\(431\) | 20.2658 | + | 20.2658i | 0.976172 | + | 0.976172i | 0.999723 | − | 0.0235510i | \(-0.00749721\pi\) |
−0.0235510 | + | 0.999723i | \(0.507497\pi\) | |||||||
\(432\) | −12.3164 | − | 16.7423i | −0.592574 | − | 0.805516i | ||||
\(433\) | −21.2660 | + | 21.2660i | −1.02198 | + | 1.02198i | −0.0222243 | + | 0.999753i | \(0.507075\pi\) |
−0.999753 | + | 0.0222243i | \(0.992925\pi\) | |||||||
\(434\) | 15.7735 | + | 25.6900i | 0.757153 | + | 1.23316i | ||||
\(435\) | −7.98518 | − | 29.7034i | −0.382860 | − | 1.42417i | ||||
\(436\) | −0.162463 | − | 1.35256i | −0.00778059 | − | 0.0647758i | ||||
\(437\) | −8.43611 | − | 17.1067i | −0.403554 | − | 0.818326i | ||||
\(438\) | −13.3258 | − | 12.6030i | −0.636733 | − | 0.602197i | ||||
\(439\) | −2.45898 | + | 0.323731i | −0.117361 | + | 0.0154508i | −0.188978 | − | 0.981981i | \(-0.560517\pi\) |
0.0716170 | + | 0.997432i | \(0.477184\pi\) | |||||||
\(440\) | 2.81805 | − | 0.229158i | 0.134345 | − | 0.0109247i | ||||
\(441\) | −2.83870 | + | 2.84804i | −0.135176 | + | 0.135621i | ||||
\(442\) | 4.53600 | + | 19.9658i | 0.215755 | + | 0.949677i | ||||
\(443\) | −5.81320 | − | 6.62869i | −0.276194 | − | 0.314939i | 0.597067 | − | 0.802191i | \(-0.296332\pi\) |
−0.873261 | + | 0.487253i | \(0.837999\pi\) | |||||||
\(444\) | 0.0939531 | − | 8.91796i | 0.00445882 | − | 0.423228i | ||||
\(445\) | 2.55421 | + | 38.9698i | 0.121081 | + | 1.84735i | ||||
\(446\) | −6.62756 | − | 8.16987i | −0.313824 | − | 0.386855i | ||||
\(447\) | 3.34662 | + | 0.216587i | 0.158290 | + | 0.0102442i | ||||
\(448\) | −5.50018 | − | 18.2199i | −0.259859 | − | 0.860808i | ||||
\(449\) | −22.6788 | −1.07028 | −0.535140 | − | 0.844763i | \(-0.679741\pi\) | ||||
−0.535140 | + | 0.844763i | \(0.679741\pi\) | |||||||
\(450\) | 51.0610 | − | 1.46536i | 2.40704 | − | 0.0690779i | ||||
\(451\) | 1.45083 | − | 0.969415i | 0.0683170 | − | 0.0456480i | ||||
\(452\) | −2.45707 | − | 3.76924i | −0.115571 | − | 0.177290i | ||||
\(453\) | −5.47700 | + | 13.2534i | −0.257332 | + | 0.622701i | ||||
\(454\) | −8.94973 | − | 2.77046i | −0.420032 | − | 0.130024i | ||||
\(455\) | −20.7822 | − | 2.73602i | −0.974282 | − | 0.128267i | ||||
\(456\) | −35.5458 | − | 8.89812i | −1.66458 | − | 0.416693i | ||||
\(457\) | −35.8463 | + | 4.71925i | −1.67682 | + | 0.220757i | −0.908077 | − | 0.418803i | \(-0.862450\pi\) |
−0.768741 | + | 0.639560i | \(0.779116\pi\) | |||||||
\(458\) | −5.25681 | + | 30.7525i | −0.245635 | + | 1.43697i | ||||
\(459\) | −24.8601 | + | 24.9830i | −1.16037 | + | 1.16610i | ||||
\(460\) | −12.6260 | − | 16.8473i | −0.588690 | − | 0.785508i | ||||
\(461\) | −5.67668 | − | 16.7230i | −0.264389 | − | 0.778866i | −0.995339 | − | 0.0964347i | \(-0.969256\pi\) |
0.730950 | − | 0.682431i | \(-0.239077\pi\) | |||||||
\(462\) | −0.659151 | − | 1.24772i | −0.0306665 | − | 0.0580493i | ||||
\(463\) | 4.09368 | + | 15.2778i | 0.190249 | + | 0.710020i | 0.993446 | + | 0.114306i | \(0.0364643\pi\) |
−0.803196 | + | 0.595714i | \(0.796869\pi\) | |||||||
\(464\) | 2.97287 | + | 16.9489i | 0.138012 | + | 0.786833i | ||||
\(465\) | 62.8234 | − | 12.5500i | 2.91337 | − | 0.581994i | ||||
\(466\) | 2.97111 | − | 12.4230i | 0.137634 | − | 0.575483i | ||||
\(467\) | −0.0287041 | + | 0.144305i | −0.00132827 | + | 0.00667765i | −0.981444 | − | 0.191750i | \(-0.938584\pi\) |
0.980115 | + | 0.198428i | \(0.0635836\pi\) | |||||||
\(468\) | 12.7129 | − | 1.54823i | 0.587656 | − | 0.0715668i | ||||
\(469\) | 12.5103 | + | 8.35914i | 0.577673 | + | 0.385989i | ||||
\(470\) | 23.5067 | − | 51.1064i | 1.08428 | − | 2.35736i | ||||
\(471\) | −28.5983 | − | 14.0739i | −1.31774 | − | 0.648492i | ||||
\(472\) | −5.71818 | + | 0.844281i | −0.263201 | + | 0.0388612i | ||||
\(473\) | 0.215361 | − | 1.63583i | 0.00990229 | − | 0.0752153i | ||||
\(474\) | −18.7631 | + | 25.9172i | −0.861819 | + | 1.19041i | ||||
\(475\) | 67.7077 | − | 59.3780i | 3.10664 | − | 2.72445i | ||||
\(476\) | −29.1046 | + | 13.9441i | −1.33400 | + | 0.639128i | ||||
\(477\) | 5.87325 | + | 0.375258i | 0.268918 | + | 0.0171819i | ||||
\(478\) | 6.73763 | + | 15.0977i | 0.308172 | + | 0.690554i | ||||
\(479\) | 24.8359 | − | 14.3390i | 1.13478 | − | 0.655166i | 0.189648 | − | 0.981852i | \(-0.439265\pi\) |
0.945133 | + | 0.326686i | \(0.105932\pi\) | |||||||
\(480\) | −40.3722 | − | 2.43720i | −1.84273 | − | 0.111242i | ||||
\(481\) | 4.75906 | + | 2.74765i | 0.216995 | + | 0.125282i | ||||
\(482\) | 2.36507 | − | 22.6912i | 0.107726 | − | 1.03356i | ||||
\(483\) | −5.24639 | + | 9.10430i | −0.238719 | + | 0.414260i | ||||
\(484\) | 21.5093 | − | 4.02509i | 0.977698 | − | 0.182959i | ||||
\(485\) | −5.26826 | − | 26.4854i | −0.239220 | − | 1.20264i | ||||
\(486\) | 13.9587 | + | 17.0632i | 0.633180 | + | 0.774005i | ||||
\(487\) | −26.9675 | + | 11.1703i | −1.22201 | + | 0.506174i | −0.898049 | − | 0.439895i | \(-0.855016\pi\) |
−0.323964 | + | 0.946069i | \(0.605016\pi\) | |||||||
\(488\) | −0.0854885 | − | 5.44826i | −0.00386988 | − | 0.246631i | ||||
\(489\) | 0.845848 | + | 12.7446i | 0.0382506 | + | 0.576332i | ||||
\(490\) | 0.722744 | + | 7.79146i | 0.0326503 | + | 0.351982i | ||||
\(491\) | 10.2766 | − | 5.06784i | 0.463775 | − | 0.228709i | −0.195362 | − | 0.980731i | \(-0.562588\pi\) |
0.659137 | + | 0.752023i | \(0.270922\pi\) | |||||||
\(492\) | −22.5020 | + | 10.8036i | −1.01447 | + | 0.487062i | ||||
\(493\) | 27.6305 | − | 9.37928i | 1.24441 | − | 0.422421i | ||||
\(494\) | 15.5275 | − | 16.3910i | 0.698617 | − | 0.737468i | ||||
\(495\) | −2.97255 | + | 0.396317i | −0.133606 | + | 0.0178131i | ||||
\(496\) | −35.6316 | + | 3.86995i | −1.59990 | + | 0.173766i | ||||
\(497\) | −21.1125 | − | 5.65707i | −0.947024 | − | 0.253754i | ||||
\(498\) | −0.0495732 | + | 1.31847i | −0.00222143 | + | 0.0590819i | ||||
\(499\) | 22.1131 | − | 25.2151i | 0.989916 | − | 1.12878i | −0.00175624 | − | 0.999998i | \(-0.500559\pi\) |
0.991673 | − | 0.128785i | \(-0.0411076\pi\) | |||||||
\(500\) | 35.9045 | − | 45.7073i | 1.60570 | − | 2.04409i | ||||
\(501\) | 0.621506 | − | 0.811342i | 0.0277668 | − | 0.0362481i | ||||
\(502\) | 2.73701 | + | 7.39923i | 0.122159 | + | 0.330244i | ||||
\(503\) | 9.35943 | − | 22.5957i | 0.417316 | − | 1.00749i | −0.565805 | − | 0.824539i | \(-0.691435\pi\) |
0.983122 | − | 0.182952i | \(-0.0585653\pi\) | |||||||
\(504\) | 6.81906 | + | 18.9998i | 0.303745 | + | 0.846319i | ||||
\(505\) | −25.8878 | − | 62.4986i | −1.15199 | − | 2.78115i | ||||
\(506\) | 0.593359 | + | 0.640777i | 0.0263780 | + | 0.0284860i | ||||
\(507\) | 5.58581 | − | 13.5167i | 0.248074 | − | 0.600300i | ||||
\(508\) | −7.34093 | + | 2.39929i | −0.325701 | + | 0.106451i | ||||
\(509\) | 0.559241 | + | 8.53237i | 0.0247879 | + | 0.378191i | 0.992172 | + | 0.124877i | \(0.0398537\pi\) |
−0.967384 | + | 0.253313i | \(0.918480\pi\) | |||||||
\(510\) | 6.39083 | + | 68.2853i | 0.282991 | + | 3.02373i | ||||
\(511\) | 8.90688 | + | 15.4272i | 0.394017 | + | 0.682458i | ||||
\(512\) | 22.3758 | + | 3.36530i | 0.988878 | + | 0.148727i | ||||
\(513\) | 38.1371 | + | 7.48824i | 1.68380 | + | 0.330614i | ||||
\(514\) | 5.96703 | + | 2.28460i | 0.263194 | + | 0.100769i | ||||
\(515\) | 33.3250 | + | 16.4341i | 1.46848 | + | 0.724172i | ||||
\(516\) | −6.34866 | + | 22.7328i | −0.279484 | + | 1.00076i | ||||
\(517\) | −0.750055 | + | 2.20959i | −0.0329874 | + | 0.0971776i | ||||
\(518\) | −2.56141 | + | 8.27440i | −0.112542 | + | 0.363556i | ||||
\(519\) | −32.1212 | − | 6.36186i | −1.40996 | − | 0.279255i | ||||
\(520\) | 13.5188 | − | 20.9361i | 0.592839 | − | 0.918109i | ||||
\(521\) | 12.6047 | − | 30.4304i | 0.552221 | − | 1.33318i | −0.363587 | − | 0.931560i | \(-0.618448\pi\) |
0.915807 | − | 0.401618i | \(-0.131552\pi\) | |||||||
\(522\) | −4.07273 | − | 17.7913i | −0.178258 | − | 0.778702i | ||||
\(523\) | 2.51679 | − | 3.76664i | 0.110052 | − | 0.164704i | −0.772356 | − | 0.635190i | \(-0.780922\pi\) |
0.882407 | + | 0.470487i | \(0.155922\pi\) | |||||||
\(524\) | 5.31149 | + | 13.2466i | 0.232034 | + | 0.578681i | ||||
\(525\) | −47.9320 | − | 12.8011i | −2.09192 | − | 0.558687i | ||||
\(526\) | −17.0394 | − | 9.23253i | −0.742953 | − | 0.402557i | ||||
\(527\) | 15.7299 | + | 58.7048i | 0.685206 | + | 2.55722i | ||||
\(528\) | 1.67613 | − | 0.0730551i | 0.0729440 | − | 0.00317932i | ||||
\(529\) | −4.26975 | + | 15.9349i | −0.185641 | + | 0.692822i | ||||
\(530\) | 7.87606 | − | 8.31405i | 0.342114 | − | 0.361139i | ||||
\(531\) | 6.01102 | − | 1.20594i | 0.260856 | − | 0.0523335i | ||||
\(532\) | 30.6161 | + | 18.1429i | 1.32738 | + | 0.786594i | ||||
\(533\) | 1.00592 | − | 15.3474i | 0.0435712 | − | 0.664768i | ||||
\(534\) | 0.645735 | + | 23.1648i | 0.0279437 | + | 1.00244i | ||||
\(535\) | −9.51540 | + | 7.30142i | −0.411387 | + | 0.315668i | ||||
\(536\) | −15.3497 | + | 9.18620i | −0.663004 | + | 0.396783i | ||||
\(537\) | 23.6538 | + | 20.7095i | 1.02074 | + | 0.893680i | ||||
\(538\) | 0.630358 | − | 16.4061i | 0.0271767 | − | 0.707316i | ||||
\(539\) | −0.0633230 | − | 0.318346i | −0.00272751 | − | 0.0137121i | ||||
\(540\) | 42.8974 | + | 0.381411i | 1.84601 | + | 0.0164133i | ||||
\(541\) | 25.0812 | + | 37.5367i | 1.07833 | + | 1.61383i | 0.739738 | + | 0.672895i | \(0.234949\pi\) |
0.338588 | + | 0.940935i | \(0.390051\pi\) | |||||||
\(542\) | 11.2929 | + | 8.18980i | 0.485070 | + | 0.351782i | ||||
\(543\) | −12.0751 | + | 5.96710i | −0.518190 | + | 0.256073i | ||||
\(544\) | −0.166249 | − | 38.3689i | −0.00712785 | − | 1.64505i | ||||
\(545\) | 2.43503 | + | 1.40586i | 0.104305 | + | 0.0602206i | ||||
\(546\) | −12.2622 | − | 2.08572i | −0.524773 | − | 0.0892605i | ||||
\(547\) | −6.17985 | + | 12.5315i | −0.264231 | + | 0.535808i | −0.988041 | − | 0.154191i | \(-0.950723\pi\) |
0.723810 | + | 0.690000i | \(0.242389\pi\) | |||||||
\(548\) | 4.56440 | − | 2.18683i | 0.194981 | − | 0.0934166i | ||||
\(549\) | 0.387475 | + | 5.76646i | 0.0165370 | + | 0.246106i | ||||
\(550\) | −2.19723 | + | 3.48909i | −0.0936902 | + | 0.148775i | ||||
\(551\) | −25.5275 | − | 19.5880i | −1.08751 | − | 0.834475i | ||||
\(552\) | −7.11121 | − | 10.2714i | −0.302673 | − | 0.437180i | ||||
\(553\) | 24.6537 | − | 18.9175i | 1.04838 | − | 0.804453i | ||||
\(554\) | −38.0264 | + | 3.52737i | −1.61559 | + | 0.149864i | ||||
\(555\) | 14.6129 | + | 11.1938i | 0.620283 | + | 0.475151i | ||||
\(556\) | 7.88696 | + | 8.06817i | 0.334482 | + | 0.342167i | ||||
\(557\) | 0.0143665 | − | 0.0722251i | 0.000608727 | − | 0.00306028i | −0.980480 | − | 0.196620i | \(-0.937003\pi\) |
0.981088 | + | 0.193560i | \(0.0620034\pi\) | |||||||
\(558\) | 37.5321 | − | 6.04113i | 1.58886 | − | 0.255742i | ||||
\(559\) | −10.2836 | − | 10.2836i | −0.434952 | − | 0.434952i | ||||
\(560\) | 36.9007 | + | 13.4682i | 1.55934 | + | 0.569137i | ||||
\(561\) | −0.557306 | − | 2.78978i | −0.0235295 | − | 0.117785i | ||||
\(562\) | 4.43505 | − | 8.18526i | 0.187081 | − | 0.345274i | ||||
\(563\) | 19.6489 | − | 22.4053i | 0.828104 | − | 0.944271i | −0.171056 | − | 0.985261i | \(-0.554718\pi\) |
0.999160 | + | 0.0409899i | \(0.0130511\pi\) | |||||||
\(564\) | 15.0782 | − | 29.7804i | 0.634905 | − | 1.25398i | ||||
\(565\) | 9.26677 | + | 0.607376i | 0.389856 | + | 0.0255525i | ||||
\(566\) | 3.47570 | − | 20.3329i | 0.146094 | − | 0.854656i | ||||
\(567\) | −8.25861 | − | 19.7541i | −0.346829 | − | 0.829594i | ||||
\(568\) | 16.8254 | − | 19.8040i | 0.705979 | − | 0.830959i | ||||
\(569\) | −0.557505 | + | 0.726555i | −0.0233718 | + | 0.0304588i | −0.804893 | − | 0.593420i | \(-0.797777\pi\) |
0.781521 | + | 0.623879i | \(0.214444\pi\) | |||||||
\(570\) | 58.6950 | − | 47.6946i | 2.45846 | − | 1.99771i | ||||
\(571\) | −14.9738 | + | 44.1115i | −0.626635 | + | 1.84601i | −0.101799 | + | 0.994805i | \(0.532460\pi\) |
−0.524836 | + | 0.851203i | \(0.675873\pi\) | |||||||
\(572\) | −0.467720 | + | 0.921899i | −0.0195564 | + | 0.0385465i | ||||
\(573\) | 0.0100693 | + | 12.2506i | 0.000420651 | + | 0.511776i | ||||
\(574\) | 23.9410 | − | 3.81315i | 0.999277 | − | 0.159158i | ||||
\(575\) | 30.7035 | 1.28042 | ||||||||
\(576\) | −23.8851 | − | 2.34529i | −0.995214 | − | 0.0977202i | ||||
\(577\) | −22.4060 | −0.932772 | −0.466386 | − | 0.884581i | \(-0.654444\pi\) | ||||
−0.466386 | + | 0.884581i | \(0.654444\pi\) | |||||||
\(578\) | −40.5105 | + | 6.45223i | −1.68502 | + | 0.268377i | ||||
\(579\) | −36.0100 | + | 20.8298i | −1.49652 | + | 0.865659i | ||||
\(580\) | −31.6732 | − | 16.0692i | −1.31516 | − | 0.667237i | ||||
\(581\) | 0.411901 | − | 1.21342i | 0.0170885 | − | 0.0503412i | ||||
\(582\) | −2.53342 | − | 15.8225i | −0.105014 | − | 0.655862i | ||||
\(583\) | −0.289192 | + | 0.376883i | −0.0119771 | + | 0.0156089i | ||||
\(584\) | −21.1094 | + | 1.71657i | −0.873513 | + | 0.0710324i | ||||
\(585\) | −13.1789 | + | 22.9135i | −0.544882 | + | 0.947357i | ||||
\(586\) | −2.65636 | + | 15.5398i | −0.109733 | + | 0.641942i | ||||
\(587\) | 28.4636 | + | 1.86560i | 1.17482 | + | 0.0770017i | 0.640280 | − | 0.768142i | \(-0.278818\pi\) |
0.534539 | + | 0.845144i | \(0.320485\pi\) | |||||||
\(588\) | 0.254854 | + | 4.63621i | 0.0105100 | + | 0.191194i | ||||
\(589\) | 44.1891 | − | 50.3880i | 1.82078 | − | 2.07620i | ||||
\(590\) | 5.68351 | − | 10.4894i | 0.233986 | − | 0.431841i | ||||
\(591\) | −19.3629 | − | 6.55507i | −0.796483 | − | 0.269640i | ||||
\(592\) | −7.58634 | − | 6.96413i | −0.311797 | − | 0.286224i | ||||
\(593\) | −3.71798 | − | 3.71798i | −0.152679 | − | 0.152679i | 0.626634 | − | 0.779313i | \(-0.284432\pi\) |
−0.779313 | + | 0.626634i | \(0.784432\pi\) | |||||||
\(594\) | −1.77147 | + | 0.168730i | −0.0726843 | + | 0.00692308i | ||||
\(595\) | 12.9950 | − | 65.3301i | 0.532741 | − | 2.67827i | ||||
\(596\) | 2.76914 | − | 2.70695i | 0.113428 | − | 0.110881i | ||||
\(597\) | −2.40093 | + | 18.3534i | −0.0982635 | + | 0.751156i | ||||
\(598\) | 7.66482 | − | 0.710996i | 0.313438 | − | 0.0290748i | ||||
\(599\) | 18.8541 | − | 14.4672i | 0.770356 | − | 0.591115i | −0.147022 | − | 0.989133i | \(-0.546969\pi\) |
0.917377 | + | 0.398018i | \(0.130302\pi\) | |||||||
\(600\) | 38.1536 | − | 44.9829i | 1.55762 | − | 1.83642i | ||||
\(601\) | 23.6439 | + | 18.1426i | 0.964454 | + | 0.740052i | 0.965623 | − | 0.259947i | \(-0.0837052\pi\) |
−0.00116836 | + | 0.999999i | \(0.500372\pi\) | |||||||
\(602\) | 12.2155 | − | 19.3976i | 0.497865 | − | 0.790585i | ||||
\(603\) | 15.7586 | − | 10.5671i | 0.641741 | − | 0.430325i | ||||
\(604\) | 7.15474 | + | 14.9336i | 0.291122 | + | 0.607638i | ||||
\(605\) | −19.9762 | + | 40.5078i | −0.812150 | + | 1.64688i | ||||
\(606\) | −13.9572 | − | 37.6369i | −0.566974 | − | 1.52889i | ||||
\(607\) | 17.7930 | + | 10.2728i | 0.722196 | + | 0.416960i | 0.815560 | − | 0.578672i | \(-0.196429\pi\) |
−0.0933643 | + | 0.995632i | \(0.529762\pi\) | |||||||
\(608\) | −35.0783 | + | 23.6591i | −1.42261 | + | 0.959502i | ||||
\(609\) | −1.14481 | + | 17.6892i | −0.0463900 | + | 0.716802i | ||||
\(610\) | 9.10434 | + | 6.60264i | 0.368624 | + | 0.267333i | ||||
\(611\) | 11.4268 | + | 17.1015i | 0.462281 | + | 0.691852i | ||||
\(612\) | 2.26714 | + | 40.6336i | 0.0916437 | + | 1.64252i | ||||
\(613\) | 0.482430 | + | 2.42534i | 0.0194852 | + | 0.0979586i | 0.989304 | − | 0.145868i | \(-0.0465974\pi\) |
−0.969819 | + | 0.243826i | \(0.921597\pi\) | |||||||
\(614\) | 0.645262 | − | 16.7940i | 0.0260407 | − | 0.677750i | ||||
\(615\) | 10.0094 | − | 50.5377i | 0.403618 | − | 2.03788i | ||||
\(616\) | −1.58033 | − | 0.396983i | −0.0636735 | − | 0.0159949i | ||||
\(617\) | 4.65506 | − | 3.57195i | 0.187406 | − | 0.143801i | −0.510798 | − | 0.859701i | \(-0.670650\pi\) |
0.698203 | + | 0.715900i | \(0.253983\pi\) | |||||||
\(618\) | 19.3943 | + | 10.4879i | 0.780154 | + | 0.421885i | ||||
\(619\) | −1.64193 | + | 25.0510i | −0.0659948 | + | 1.00689i | 0.828552 | + | 0.559912i | \(0.189165\pi\) |
−0.894547 | + | 0.446974i | \(0.852502\pi\) | |||||||
\(620\) | 37.7129 | − | 63.6405i | 1.51459 | − | 2.55586i | ||||
\(621\) | 8.09239 | + | 10.4925i | 0.324736 | + | 0.421051i | ||||
\(622\) | −5.58384 | + | 5.89437i | −0.223892 | + | 0.236343i | ||||
\(623\) | 5.82522 | − | 21.7400i | 0.233382 | − | 0.870995i | ||||
\(624\) | 8.48301 | − | 12.1131i | 0.339592 | − | 0.484911i | ||||
\(625\) | 15.4682 | + | 57.7281i | 0.618727 | + | 2.30912i | ||||
\(626\) | −9.95142 | − | 5.39202i | −0.397739 | − | 0.215508i | ||||
\(627\) | −2.21650 | + | 2.22014i | −0.0885183 | + | 0.0886640i | ||||
\(628\) | −34.1609 | + | 13.6975i | −1.36317 | + | 0.546589i | ||||
\(629\) | −9.70168 | + | 14.5196i | −0.386831 | + | 0.578934i | ||||
\(630\) | −39.8214 | − | 12.2553i | −1.58652 | − | 0.488264i | ||||
\(631\) | −2.39106 | + | 5.77252i | −0.0951864 | + | 0.229800i | −0.964300 | − | 0.264812i | \(-0.914690\pi\) |
0.869114 | + | 0.494613i | \(0.164690\pi\) | |||||||
\(632\) | 7.77543 | + | 36.1185i | 0.309290 | + | 1.43672i | ||||
\(633\) | −5.42659 | − | 15.9431i | −0.215688 | − | 0.633683i | ||||
\(634\) | 9.87319 | − | 31.8944i | 0.392115 | − | 1.26669i | ||||
\(635\) | 5.12385 | − | 15.0944i | 0.203334 | − | 0.599002i | ||||
\(636\) | 4.85562 | − | 4.75438i | 0.192538 | − | 0.188523i | ||||
\(637\) | −2.56596 | − | 1.26539i | −0.101667 | − | 0.0501367i | ||||
\(638\) | 1.37585 | + | 0.526771i | 0.0544703 | + | 0.0208551i | ||||
\(639\) | −16.7432 | + | 21.8946i | −0.662350 | + | 0.866136i | ||||
\(640\) | −33.2549 | + | 32.7910i | −1.31452 | + | 1.29618i | ||||
\(641\) | 9.90081 | + | 17.1487i | 0.391058 | + | 0.677333i | 0.992589 | − | 0.121516i | \(-0.0387757\pi\) |
−0.601531 | + | 0.798849i | \(0.705442\pi\) | |||||||
\(642\) | −5.80513 | + | 4.11737i | −0.229110 | + | 0.162500i | ||||
\(643\) | −1.31599 | − | 20.0781i | −0.0518976 | − | 0.791804i | −0.941909 | − | 0.335867i | \(-0.890971\pi\) |
0.890012 | − | 0.455937i | \(-0.150696\pi\) | |||||||
\(644\) | 3.76939 | + | 11.5329i | 0.148535 | + | 0.454462i | ||||
\(645\) | −29.6879 | − | 38.6243i | −1.16896 | − | 1.52083i | ||||
\(646\) | 48.7476 | + | 52.6433i | 1.91795 | + | 2.07122i | ||||
\(647\) | −14.5938 | − | 35.2326i | −0.573743 | − | 1.38514i | −0.898346 | − | 0.439288i | \(-0.855231\pi\) |
0.324604 | − | 0.945850i | \(-0.394769\pi\) | |||||||
\(648\) | 25.4284 | + | 1.18257i | 0.998920 | + | 0.0464557i | ||||
\(649\) | −0.189380 | + | 0.457203i | −0.00743380 | + | 0.0179468i | ||||
\(650\) | 12.6090 | + | 34.0872i | 0.494565 | + | 1.33701i | ||||
\(651\) | −36.6093 | − | 4.78909i | −1.43483 | − | 0.187699i | ||||
\(652\) | 11.5981 | + | 9.11069i | 0.454218 | + | 0.356802i | ||||
\(653\) | −17.6321 | + | 20.1055i | −0.689996 | + | 0.786790i | −0.985704 | − | 0.168488i | \(-0.946111\pi\) |
0.295707 | + | 0.955279i | \(0.404445\pi\) | |||||||
\(654\) | 1.41255 | + | 0.887924i | 0.0552352 | + | 0.0347206i | ||||
\(655\) | −28.4531 | − | 7.62399i | −1.11176 | − | 0.297894i | ||||
\(656\) | −8.09022 | + | 27.6639i | −0.315870 | + | 1.08009i | ||||
\(657\) | 22.2668 | − | 2.96872i | 0.868709 | − | 0.115821i | ||||
\(658\) | −22.2956 | + | 23.5355i | −0.869174 | + | 0.917509i | ||||
\(659\) | −36.7257 | + | 12.4667i | −1.43063 | + | 0.485633i | −0.925941 | − | 0.377668i | \(-0.876726\pi\) |
−0.504689 | + | 0.863301i | \(0.668393\pi\) | |||||||
\(660\) | −1.95404 | + | 2.85877i | −0.0760611 | + | 0.111278i | ||||
\(661\) | −27.9979 | + | 13.8070i | −1.08899 | + | 0.537031i | −0.895948 | − | 0.444159i | \(-0.853502\pi\) |
−0.193043 | + | 0.981190i | \(0.561836\pi\) | |||||||
\(662\) | −3.90005 | − | 42.0441i | −0.151580 | − | 1.63409i | ||||
\(663\) | −22.4992 | − | 11.0724i | −0.873798 | − | 0.430017i | ||||
\(664\) | 1.09405 | + | 1.06025i | 0.0424575 | + | 0.0411457i | ||||
\(665\) | −67.8620 | + | 28.1093i | −2.63157 | + | 1.09003i | ||||
\(666\) | 8.41544 | + | 6.96338i | 0.326092 | + | 0.269825i | ||||
\(667\) | −2.14019 | − | 10.7595i | −0.0828685 | − | 0.416608i | ||||
\(668\) | −0.217074 | − | 1.16000i | −0.00839885 | − | 0.0448819i | ||||
\(669\) | 12.8844 | − | 0.0105902i | 0.498138 | − | 0.000409443i | ||||
\(670\) | 3.82754 | − | 36.7227i | 0.147871 | − | 1.41872i | ||||
\(671\) | −0.404012 | − | 0.233257i | −0.0155967 | − | 0.00900477i | ||||
\(672\) | 21.5807 | + | 8.80896i | 0.832493 | + | 0.339813i | ||||
\(673\) | 39.8804 | − | 23.0250i | 1.53728 | − | 0.887547i | 0.538280 | − | 0.842766i | \(-0.319074\pi\) |
0.998997 | − | 0.0447815i | \(-0.0142592\pi\) | |||||||
\(674\) | −5.93594 | − | 13.3013i | −0.228644 | − | 0.512347i | ||||
\(675\) | −37.9631 | + | 49.7279i | −1.46120 | + | 1.91403i | ||||
\(676\) | −7.29688 | − | 15.2302i | −0.280649 | − | 0.585779i | ||||
\(677\) | −23.2811 | + | 20.4170i | −0.894767 | + | 0.784690i | −0.977291 | − | 0.211899i | \(-0.932035\pi\) |
0.0825244 | + | 0.996589i | \(0.473702\pi\) | |||||||
\(678\) | 5.48136 | + | 0.566759i | 0.210511 | + | 0.0217662i | ||||
\(679\) | −2.03136 | + | 15.4297i | −0.0779564 | + | 0.592137i | ||||
\(680\) | 63.5772 | + | 47.2184i | 2.43807 | + | 1.81074i | ||||
\(681\) | 9.53529 | − | 6.38262i | 0.365393 | − | 0.244583i | ||||
\(682\) | −1.28227 | + | 2.78780i | −0.0491005 | + | 0.106750i | ||||
\(683\) | −31.7115 | − | 21.1889i | −1.21341 | − | 0.810772i | −0.226808 | − | 0.973939i | \(-0.572829\pi\) |
−0.986598 | + | 0.163167i | \(0.947829\pi\) | |||||||
\(684\) | 35.8677 | − | 26.9728i | 1.37143 | − | 1.03133i | ||||
\(685\) | −2.03797 | + | 10.2456i | −0.0778668 | + | 0.391463i | ||||
\(686\) | 6.52693 | − | 27.2908i | 0.249199 | − | 1.04197i | ||||
\(687\) | −25.2174 | − | 28.7073i | −0.962103 | − | 1.09525i | ||||
\(688\) | 14.6229 | + | 22.9989i | 0.557495 | + | 0.876826i | ||||
\(689\) | 1.08375 | + | 4.04462i | 0.0412877 | + | 0.154088i | ||||
\(690\) | 25.7668 | + | 0.968810i | 0.980927 | + | 0.0368820i | ||||
\(691\) | 6.20309 | + | 18.2737i | 0.235976 | + | 0.695164i | 0.998819 | + | 0.0485803i | \(0.0154697\pi\) |
−0.762843 | + | 0.646584i | \(0.776197\pi\) | |||||||
\(692\) | −30.2568 | + | 22.6756i | −1.15019 | + | 0.861998i | ||||
\(693\) | 1.69562 | + | 0.334383i | 0.0644112 | + | 0.0127022i | ||||
\(694\) | −1.11096 | + | 6.49917i | −0.0421717 | + | 0.246705i | ||||
\(695\) | −23.0881 | + | 3.03961i | −0.875783 | + | 0.115299i | ||||
\(696\) | −18.4230 | − | 10.2347i | −0.698320 | − | 0.387945i | ||||
\(697\) | 48.4563 | + | 6.37939i | 1.83541 | + | 0.241637i | ||||
\(698\) | −21.8639 | − | 6.76814i | −0.827560 | − | 0.256178i | ||||
\(699\) | 9.53370 | + | 12.4034i | 0.360598 | + | 0.469141i | ||||
\(700\) | −47.9907 | + | 31.2839i | −1.81388 | + | 1.18242i | ||||
\(701\) | −12.6713 | + | 8.46671i | −0.478590 | + | 0.319783i | −0.771360 | − | 0.636400i | \(-0.780423\pi\) |
0.292770 | + | 0.956183i | \(0.405423\pi\) | |||||||
\(702\) | −8.32557 | + | 13.2932i | −0.314228 | + | 0.501719i | ||||
\(703\) | 19.2566 | 0.726277 | ||||||||
\(704\) | 1.23100 | − | 1.49587i | 0.0463950 | − | 0.0563776i | ||||
\(705\) | 30.5226 | + | 61.7657i | 1.14955 | + | 2.32623i | ||||
\(706\) | −31.2508 | − | 38.5233i | −1.17614 | − | 1.44984i | ||||
\(707\) | 2.54982 | + | 38.9028i | 0.0958960 | + | 1.46309i | ||||
\(708\) | 3.60401 | − | 6.09317i | 0.135447 | − | 0.228995i | ||||
\(709\) | 4.17316 | + | 4.75858i | 0.156726 | + | 0.178712i | 0.824874 | − | 0.565316i | \(-0.191246\pi\) |
−0.668148 | + | 0.744029i | \(0.732913\pi\) | |||||||
\(710\) | 11.8826 | + | 52.3028i | 0.445945 | + | 1.96289i | ||||
\(711\) | −10.2046 | − | 37.8351i | −0.382702 | − | 1.41893i | ||||
\(712\) | 20.3927 | + | 17.3255i | 0.764248 | + | 0.649301i | ||||
\(713\) | 22.6540 | − | 2.98246i | 0.848400 | − | 0.111694i | ||||
\(714\) | 9.16215 | − | 38.4490i | 0.342885 | − | 1.43892i | ||||
\(715\) | −0.943696 | − | 1.91363i | −0.0352922 | − | 0.0715656i | ||||
\(716\) | 36.0431 | − | 4.32934i | 1.34699 | − | 0.161795i | ||||
\(717\) | −19.5629 | − | 5.22464i | −0.730592 | − | 0.195118i | ||||
\(718\) | −5.90063 | − | 9.61025i | −0.220209 | − | 0.358651i | ||||
\(719\) | −6.95749 | + | 6.95749i | −0.259471 | + | 0.259471i | −0.824839 | − | 0.565368i | \(-0.808734\pi\) |
0.565368 | + | 0.824839i | \(0.308734\pi\) | |||||||
\(720\) | 33.4385 | − | 36.5465i | 1.24618 | − | 1.36201i | ||||
\(721\) | −15.1419 | − | 15.1419i | −0.563915 | − | 0.563915i | ||||
\(722\) | 12.1531 | − | 50.8151i | 0.452290 | − | 1.89114i | ||||
\(723\) | 19.7739 | + | 19.7414i | 0.735398 | + | 0.734190i | ||||
\(724\) | −4.19566 | + | 14.9760i | −0.155931 | + | 0.556579i | ||||
\(725\) | 46.4541 | − | 22.9086i | 1.72526 | − | 0.850805i | ||||
\(726\) | −12.7484 | + | 23.5745i | −0.473138 | + | 0.874932i | ||||
\(727\) | −1.73795 | − | 13.2011i | −0.0644571 | − | 0.489600i | −0.992976 | − | 0.118315i | \(-0.962251\pi\) |
0.928519 | − | 0.371285i | \(-0.121083\pi\) | |||||||
\(728\) | −11.2560 | + | 8.92103i | −0.417174 | + | 0.330636i | ||||
\(729\) | −26.9997 | + | 0.133155i | −0.999988 | + | 0.00493165i | ||||
\(730\) | 23.2940 | − | 36.9897i | 0.862150 | − | 1.36905i | ||||
\(731\) | 34.7460 | − | 30.4714i | 1.28513 | − | 1.12703i | ||||
\(732\) | 5.25139 | + | 4.11815i | 0.194097 | + | 0.152211i | ||||
\(733\) | 15.3053 | − | 1.00316i | 0.565315 | − | 0.0370527i | 0.219933 | − | 0.975515i | \(-0.429416\pi\) |
0.345382 | + | 0.938462i | \(0.387749\pi\) | |||||||
\(734\) | 14.8113 | + | 1.54375i | 0.546694 | + | 0.0569809i | ||||
\(735\) | −7.97278 | − | 5.31777i | −0.294080 | − | 0.196149i | ||||
\(736\) | −14.3101 | − | 1.82092i | −0.527477 | − | 0.0671199i | ||||
\(737\) | 1.53153i | 0.0564148i | ||||||||
\(738\) | 7.06200 | − | 29.7441i | 0.259956 | − | 1.09490i | ||||
\(739\) | 19.6746 | + | 29.4451i | 0.723740 | + | 1.08315i | 0.992771 | + | 0.120022i | \(0.0382966\pi\) |
−0.269031 | + | 0.963132i | \(0.586703\pi\) | |||||||
\(740\) | 20.8926 | − | 3.90967i | 0.768026 | − | 0.143722i | ||||
\(741\) | 3.63190 | + | 27.4129i | 0.133421 | + | 1.00704i | ||||
\(742\) | −5.83834 | + | 3.07816i | −0.214332 | + | 0.113003i | ||||
\(743\) | 0.0617474 | − | 0.469018i | 0.00226529 | − | 0.0172066i | −0.990275 | − | 0.139125i | \(-0.955571\pi\) |
0.992540 | + | 0.121918i | \(0.0389045\pi\) | |||||||
\(744\) | 23.7815 | − | 36.8960i | 0.871871 | − | 1.35267i | ||||
\(745\) | 1.04325 | + | 7.92426i | 0.0382217 | + | 0.290322i | ||||
\(746\) | 4.65600 | − | 3.29659i | 0.170468 | − | 0.120697i | ||||
\(747\) | −1.21667 | − | 1.06346i | −0.0445155 | − | 0.0389098i | ||||
\(748\) | −2.82607 | − | 1.67471i | −0.103331 | − | 0.0612334i | ||||
\(749\) | 6.54539 | − | 2.22186i | 0.239163 | − | 0.0811850i | ||||
\(750\) | 15.8278 | + | 69.4040i | 0.577948 | + | 2.53428i | ||||
\(751\) | −4.64710 | + | 1.24519i | −0.169575 | + | 0.0454375i | −0.342608 | − | 0.939479i | \(-0.611310\pi\) |
0.173033 | + | 0.984916i | \(0.444643\pi\) | |||||||
\(752\) | −13.9375 | − | 35.9357i | −0.508250 | − | 1.31044i | ||||
\(753\) | −9.15205 | − | 3.09832i | −0.333519 | − | 0.112909i | ||||
\(754\) | 11.0663 | − | 6.79464i | 0.403011 | − | 0.247446i | ||||
\(755\) | −33.5209 | − | 6.66772i | −1.21995 | − | 0.242663i | ||||
\(756\) | −23.3396 | − | 8.15486i | −0.848853 | − | 0.296589i | ||||
\(757\) | 11.7932 | − | 17.6498i | 0.428631 | − | 0.641492i | −0.552798 | − | 0.833315i | \(-0.686440\pi\) |
0.981430 | + | 0.191823i | \(0.0614399\pi\) | |||||||
\(758\) | 1.57473 | + | 4.25712i | 0.0571967 | + | 0.154626i | ||||
\(759\) | −1.06723 | + | 0.0708312i | −0.0387381 | + | 0.00257101i | ||||
\(760\) | 4.34375 | − | 87.2217i | 0.157564 | − | 3.16386i | ||||
\(761\) | 7.57406 | + | 0.997144i | 0.274559 | + | 0.0361464i | 0.266549 | − | 0.963821i | \(-0.414117\pi\) |
0.00801080 | + | 0.999968i | \(0.497450\pi\) | |||||||
\(762\) | 3.37481 | − | 8.83626i | 0.122257 | − | 0.320104i | ||||
\(763\) | −1.06842 | − | 1.21830i | −0.0386796 | − | 0.0441056i | ||||
\(764\) | 10.5287 | + | 9.44713i | 0.380916 | + | 0.341785i | ||||
\(765\) | −69.9181 | − | 46.5517i | −2.52789 | − | 1.68308i | ||||
\(766\) | −13.8408 | − | 5.29921i | −0.500087 | − | 0.191468i | ||||
\(767\) | 2.18101 | + | 3.77762i | 0.0787517 | + | 0.136402i | ||||
\(768\) | −20.4502 | + | 18.7026i | −0.737934 | + | 0.674873i | ||||
\(769\) | 2.88096 | − | 4.98997i | 0.103890 | − | 0.179943i | −0.809394 | − | 0.587266i | \(-0.800204\pi\) |
0.913284 | + | 0.407323i | \(0.133538\pi\) | |||||||
\(770\) | 2.61181 | − | 2.11875i | 0.0941229 | − | 0.0763544i | ||||
\(771\) | −6.77380 | + | 3.91828i | −0.243952 | + | 0.141113i | ||||
\(772\) | −9.90582 | + | 47.0036i | −0.356518 | + | 1.69170i | ||||
\(773\) | 0.485696 | − | 0.0966109i | 0.0174693 | − | 0.00347485i | −0.186348 | − | 0.982484i | \(-0.559665\pi\) |
0.203817 | + | 0.979009i | \(0.434665\pi\) | |||||||
\(774\) | −16.7429 | − | 23.5649i | −0.601811 | − | 0.847023i | ||||
\(775\) | 41.2851 | + | 99.6710i | 1.48300 | + | 3.58029i | ||||
\(776\) | −15.5440 | − | 10.0370i | −0.557997 | − | 0.360308i | ||||
\(777\) | −5.90101 | − | 8.81578i | −0.211697 | − | 0.316264i | ||||
\(778\) | −7.64528 | + | 9.20867i | −0.274097 | + | 0.330147i | ||||
\(779\) | −23.8374 | − | 48.3375i | −0.854065 | − | 1.73187i | ||||
\(780\) | 9.50609 | + | 29.0044i | 0.340373 | + | 1.03852i | ||||
\(781\) | −0.715153 | − | 2.10677i | −0.0255902 | − | 0.0753862i | ||||
\(782\) | 0.661512 | + | 24.4523i | 0.0236556 | + | 0.874414i | ||||
\(783\) | 20.0725 | + | 9.83718i | 0.717331 | + | 0.351552i | ||||
\(784\) | 4.17835 | + | 3.35965i | 0.149227 | + | 0.119987i | ||||
\(785\) | 19.6610 | − | 73.3760i | 0.701732 | − | 2.61890i | ||||
\(786\) | −16.7018 | − | 5.15516i | −0.595735 | − | 0.183878i | ||||
\(787\) | −31.0337 | − | 27.2159i | −1.10623 | − | 0.970141i | −0.106526 | − | 0.994310i | \(-0.533973\pi\) |
−0.999708 | + | 0.0241691i | \(0.992306\pi\) | |||||||
\(788\) | −20.5751 | + | 11.5695i | −0.732957 | + | 0.412146i | ||||
\(789\) | 21.9212 | − | 9.10118i | 0.780416 | − | 0.324011i | ||||
\(790\) | −69.2790 | − | 31.8653i | −2.46484 | − | 1.13372i | ||||
\(791\) | −4.94460 | − | 2.04812i | −0.175810 | − | 0.0728228i | ||||
\(792\) | −1.22242 | + | 1.65160i | −0.0434370 | + | 0.0586870i | ||||
\(793\) | −3.79903 | + | 1.57361i | −0.134908 | + | 0.0558805i | ||||
\(794\) | −0.991063 | + | 25.7940i | −0.0351715 | + | 0.915395i | ||||
\(795\) | 1.84221 | + | 13.9047i | 0.0653366 | + | 0.493148i | ||||
\(796\) | 13.9090 | + | 16.2283i | 0.492991 | + | 0.575197i | ||||
\(797\) | −51.4668 | + | 3.37331i | −1.82305 | + | 0.119489i | −0.938135 | − | 0.346269i | \(-0.887449\pi\) |
−0.884912 | + | 0.465758i | \(0.845782\pi\) | |||||||
\(798\) | −40.8668 | + | 15.1550i | −1.44667 | + | 0.536481i | ||||
\(799\) | −56.6024 | + | 32.6794i | −2.00245 | + | 1.15612i | ||||
\(800\) | −9.18256 | − | 67.4875i | −0.324652 | − | 2.38604i | ||||
\(801\) | −22.5453 | − | 17.2408i | −0.796601 | − | 0.609175i | ||||
\(802\) | 11.0065 | + | 24.6634i | 0.388651 | + | 0.870894i | ||||
\(803\) | −0.801984 | + | 1.62626i | −0.0283014 | + | 0.0573895i | ||||
\(804\) | 3.08835 | − | 21.6901i | 0.108918 | − | 0.764950i | ||||
\(805\) | −23.7139 | − | 8.04980i | −0.835807 | − | 0.283718i | ||||
\(806\) | 12.6145 | + | 23.9258i | 0.444326 | + | 0.842751i | ||||
\(807\) | 15.1289 | + | 13.2457i | 0.532564 | + | 0.466272i | ||||
\(808\) | −43.0961 | − | 17.0639i | −1.51612 | − | 0.600305i | ||||
\(809\) | −2.80064 | − | 1.16006i | −0.0984653 | − | 0.0407857i | 0.332907 | − | 0.942960i | \(-0.391970\pi\) |
−0.431372 | + | 0.902174i | \(0.641970\pi\) | |||||||
\(810\) | −33.4283 | + | 40.5346i | −1.17455 | + | 1.42424i | ||||
\(811\) | 17.6958 | + | 11.8240i | 0.621384 | + | 0.415196i | 0.826019 | − | 0.563643i | \(-0.190601\pi\) |
−0.204634 | + | 0.978838i | \(0.565601\pi\) | |||||||
\(812\) | 14.3081 | + | 14.6368i | 0.502115 | + | 0.513652i | ||||
\(813\) | −16.4994 | + | 4.43553i | −0.578658 | + | 0.155561i | ||||
\(814\) | −0.845157 | + | 0.251144i | −0.0296227 | + | 0.00880258i | ||||
\(815\) | −29.4037 | + | 7.87869i | −1.02997 | + | 0.275979i | ||||
\(816\) | 36.6466 | + | 29.4165i | 1.28289 | + | 1.02978i | ||||
\(817\) | −49.2261 | − | 13.1901i | −1.72220 | − | 0.461463i | ||||
\(818\) | −25.6881 | + | 0.694943i | −0.898163 | + | 0.0242981i | ||||
\(819\) | 11.4368 | − | 10.0631i | 0.399634 | − | 0.351634i | ||||
\(820\) | −35.6765 | − | 47.6044i | −1.24588 | − | 1.66242i | ||||
\(821\) | 35.4750 | + | 2.32516i | 1.23809 | + | 0.0811485i | 0.670340 | − | 0.742054i | \(-0.266148\pi\) |
0.567747 | + | 0.823203i | \(0.307815\pi\) | |||||||
\(822\) | −1.43688 | + | 6.02987i | −0.0501169 | + | 0.210316i | ||||
\(823\) | −6.32369 | − | 8.24119i | −0.220430 | − | 0.287270i | 0.670028 | − | 0.742336i | \(-0.266282\pi\) |
−0.890458 | + | 0.455066i | \(0.849616\pi\) | |||||||
\(824\) | 23.9769 | − | 8.56088i | 0.835275 | − | 0.298232i | ||||
\(825\) | −1.62720 | − | 4.78065i | −0.0566517 | − | 0.166441i | ||||
\(826\) | −5.04479 | + | 4.67147i | −0.175531 | + | 0.162541i | ||||
\(827\) | 42.7441 | − | 8.50233i | 1.48636 | − | 0.295655i | 0.615872 | − | 0.787847i | \(-0.288804\pi\) |
0.870487 | + | 0.492192i | \(0.163804\pi\) | |||||||
\(828\) | 15.2573 | + | 1.14895i | 0.530229 | + | 0.0399287i | ||||
\(829\) | −41.0316 | + | 27.4164i | −1.42509 | + | 0.952212i | −0.426219 | + | 0.904620i | \(0.640155\pi\) |
−0.998867 | + | 0.0475923i | \(0.984845\pi\) | |||||||
\(830\) | −3.10536 | + | 0.494600i | −0.107789 | + | 0.0171678i | ||||
\(831\) | 25.9535 | − | 38.9114i | 0.900317 | − | 1.34982i | ||||
\(832\) | −3.85513 | − | 16.6350i | −0.133653 | − | 0.576713i | ||||
\(833\) | 4.54576 | − | 7.87349i | 0.157501 | − | 0.272800i | ||||
\(834\) | −13.7583 | + | 1.28764i | −0.476412 | + | 0.0445874i | ||||
\(835\) | 2.18459 | + | 1.07732i | 0.0756010 | + | 0.0372823i | ||||
\(836\) | 0.195857 | + | 3.61720i | 0.00677384 | + | 0.125104i | ||||
\(837\) | −23.1800 | + | 40.3785i | −0.801217 | + | 1.39569i | ||||
\(838\) | −8.33619 | − | 36.6929i | −0.287969 | − | 1.26753i | ||||
\(839\) | 10.8491 | − | 14.1388i | 0.374552 | − | 0.488125i | −0.567604 | − | 0.823302i | \(-0.692129\pi\) |
0.942155 | + | 0.335177i | \(0.108796\pi\) | |||||||
\(840\) | −41.2617 | + | 24.7397i | −1.42366 | + | 0.853600i | ||||
\(841\) | 6.38808 | + | 8.32511i | 0.220279 | + | 0.287073i | ||||
\(842\) | −5.78659 | − | 4.80418i | −0.199419 | − | 0.165563i | ||||
\(843\) | 4.37196 | + | 10.5303i | 0.150578 | + | 0.362684i | ||||
\(844\) | −17.8808 | − | 7.64550i | −0.615482 | − | 0.263169i | ||||
\(845\) | 34.1869 | + | 6.80019i | 1.17606 | + | 0.233934i | ||||
\(846\) | 16.7219 | + | 37.3057i | 0.574911 | + | 1.28260i | ||||
\(847\) | 18.4056 | − | 18.4056i | 0.632424 | − | 0.632424i | ||||
\(848\) | −0.335248 | − | 7.83980i | −0.0115124 | − | 0.269220i | ||||
\(849\) | 16.6732 | + | 18.9807i | 0.572223 | + | 0.651415i | ||||
\(850\) | −110.709 | + | 32.8977i | −3.79727 | + | 1.12838i | ||||
\(851\) | 4.93605 | + | 4.32880i | 0.169206 | + | 0.148389i | ||||
\(852\) | 5.87990 | + | 31.2789i | 0.201442 | + | 1.07160i | ||||
\(853\) | 1.04039 | − | 15.8733i | 0.0356224 | − | 0.543493i | −0.942333 | − | 0.334677i | \(-0.891373\pi\) |
0.977955 | − | 0.208815i | \(-0.0669607\pi\) | |||||||
\(854\) | −3.74534 | − | 5.28981i | −0.128163 | − | 0.181013i | ||||
\(855\) | 0.152269 | + | 92.6271i | 0.00520749 | + | 3.16778i | ||||
\(856\) | −0.944708 | + | 8.16357i | −0.0322895 | + | 0.279025i | ||||
\(857\) | 46.2153 | + | 35.4623i | 1.57868 | + | 1.21137i | 0.850479 | + | 0.526009i | \(0.176312\pi\) |
0.728206 | + | 0.685358i | \(0.240354\pi\) | |||||||
\(858\) | −0.516918 | − | 1.15576i | −0.0176473 | − | 0.0394570i | ||||
\(859\) | 27.6428 | + | 9.38345i | 0.943159 | + | 0.320159i | 0.750323 | − | 0.661072i | \(-0.229898\pi\) |
0.192836 | + | 0.981231i | \(0.438231\pi\) | |||||||
\(860\) | −56.0861 | − | 4.31627i | −1.91252 | − | 0.147184i | ||||
\(861\) | −14.8244 | + | 25.7255i | −0.505216 | + | 0.876723i | ||||
\(862\) | −23.7955 | + | 32.8115i | −0.810478 | + | 1.11756i | ||||
\(863\) | 24.7762i | 0.843391i | 0.906738 | + | 0.421695i | \(0.138565\pi\) | ||||
−0.906738 | + | 0.421695i | \(0.861435\pi\) | |||||||
\(864\) | 20.6428 | − | 20.9254i | 0.702283 | − | 0.711898i | ||||
\(865\) | − | 78.0411i | − | 2.65348i | ||||||
\(866\) | −34.4307 | − | 24.9698i | −1.17000 | − | 0.848509i | ||||
\(867\) | 25.0845 | − | 43.5301i | 0.851913 | − | 1.47836i | ||||
\(868\) | −32.3703 | + | 27.7440i | −1.09872 | + | 0.941693i | ||||
\(869\) | 2.99528 | + | 1.01676i | 0.101608 | + | 0.0344913i | ||||
\(870\) | 39.7079 | − | 17.7595i | 1.34622 | − | 0.602103i | ||||
\(871\) | 10.7099 | + | 8.21803i | 0.362893 | + | 0.278457i | ||||
\(872\) | 1.85286 | − | 0.527764i | 0.0627457 | − | 0.0178724i | ||||
\(873\) | 17.0121 | + | 9.78470i | 0.575773 | + | 0.331162i | ||||
\(874\) | 22.0149 | − | 15.5872i | 0.744665 | − | 0.527245i | ||||
\(875\) | 4.52180 | − | 68.9893i | 0.152865 | − | 2.33226i | ||||
\(876\) | 14.6373 | − | 21.4144i | 0.494549 | − | 0.723527i | ||||
\(877\) | −32.3055 | − | 28.3311i | −1.09088 | − | 0.956675i | −0.0916441 | − | 0.995792i | \(-0.529212\pi\) |
−0.999235 | + | 0.0391169i | \(0.987546\pi\) | |||||||
\(878\) | −0.999107 | − | 3.36223i | −0.0337182 | − | 0.113470i | ||||
\(879\) | −12.7428 | − | 14.5063i | −0.429804 | − | 0.489285i | ||||
\(880\) | 0.946897 | + | 3.88474i | 0.0319199 | + | 0.130955i | ||||
\(881\) | 36.3472 | − | 36.3472i | 1.22457 | − | 1.22457i | 0.258578 | − | 0.965990i | \(-0.416746\pi\) |
0.965990 | − | 0.258578i | \(-0.0832538\pi\) | |||||||
\(882\) | −4.60905 | − | 3.33103i | −0.155195 | − | 0.112161i | ||||
\(883\) | −25.8580 | − | 5.14348i | −0.870191 | − | 0.173092i | −0.260253 | − | 0.965541i | \(-0.583806\pi\) |
−0.609938 | + | 0.792449i | \(0.708806\pi\) | |||||||
\(884\) | −26.8755 | + | 10.7763i | −0.903920 | + | 0.362445i | ||||
\(885\) | 5.60265 | + | 13.4946i | 0.188331 | + | 0.453616i | ||||
\(886\) | 7.96459 | − | 9.59328i | 0.267576 | − | 0.322293i | ||||
\(887\) | −32.2776 | − | 42.0650i | −1.08378 | − | 1.41240i | −0.903396 | − | 0.428808i | \(-0.858934\pi\) |
−0.180381 | − | 0.983597i | \(-0.557733\pi\) | |||||||
\(888\) | 12.4758 | − | 1.85251i | 0.418661 | − | 0.0621663i | ||||
\(889\) | −5.59244 | + | 7.28820i | −0.187564 | + | 0.244438i | ||||
\(890\) | −53.8574 | + | 12.2358i | −1.80531 | + | 0.410144i | ||||
\(891\) | 1.20486 | − | 1.81609i | 0.0403642 | − | 0.0608413i | ||||
\(892\) | 9.93587 | − | 11.0734i | 0.332678 | − | 0.370766i | ||||
\(893\) | 64.6409 | + | 31.8774i | 2.16312 | + | 1.06674i | ||||
\(894\) | 0.441942 | + | 4.72210i | 0.0147808 | + | 0.157931i | ||||
\(895\) | −37.4636 | + | 64.8888i | −1.25227 | + | 2.16899i | ||||
\(896\) | 24.2226 | − | 11.7345i | 0.809220 | − | 0.392021i | ||||
\(897\) | −5.23133 | + | 7.84319i | −0.174669 | + | 0.261876i | ||||
\(898\) | −5.04473 | − | 31.6735i | −0.168345 | − | 1.05696i | ||||
\(899\) | 32.0501 | − | 21.4152i | 1.06893 | − | 0.714236i | ||||
\(900\) | 13.4047 | + | 70.9864i | 0.446822 | + | 2.36621i | ||||
\(901\) | −13.0504 | + | 2.59589i | −0.434773 | + | 0.0864817i | ||||
\(902\) | 1.67662 | + | 1.81061i | 0.0558254 | + | 0.0602867i | ||||
\(903\) | 9.04637 | + | 26.5779i | 0.301044 | + | 0.884459i | ||||
\(904\) | 4.71760 | − | 4.27001i | 0.156905 | − | 0.142018i | ||||
\(905\) | −19.5415 | − | 25.4670i | −0.649581 | − | 0.846551i | ||||
\(906\) | −19.7282 | − | 4.70110i | −0.655426 | − | 0.156184i | ||||
\(907\) | 45.9131 | + | 3.00930i | 1.52452 | + | 0.0999223i | 0.804467 | − | 0.593997i | \(-0.202451\pi\) |
0.720052 | + | 0.693920i | \(0.244118\pi\) | |||||||
\(908\) | 1.87846 | − | 13.1155i | 0.0623389 | − | 0.435255i | ||||
\(909\) | 46.5799 | + | 15.7264i | 1.54496 | + | 0.521612i | ||||
\(910\) | −0.801669 | − | 29.6332i | −0.0265751 | − | 0.982330i | ||||
\(911\) | 16.8352 | + | 4.51097i | 0.557774 | + | 0.149455i | 0.526683 | − | 0.850062i | \(-0.323435\pi\) |
0.0310903 | + | 0.999517i | \(0.490102\pi\) | |||||||
\(912\) | 4.52033 | − | 51.6229i | 0.149683 | − | 1.70941i | ||||
\(913\) | 0.125992 | − | 0.0337594i | 0.00416972 | − | 0.00111727i | ||||
\(914\) | −14.5647 | − | 49.0135i | −0.481757 | − | 1.62122i | ||||
\(915\) | −13.3018 | + | 3.57593i | −0.439745 | + | 0.118217i | ||||
\(916\) | −44.1186 | − | 0.501068i | −1.45772 | − | 0.0165558i | ||||
\(917\) | 14.1153 | + | 9.43153i | 0.466127 | + | 0.311456i | ||||
\(918\) | −40.4214 | − | 29.1625i | −1.33410 | − | 0.962507i | ||||
\(919\) | 22.6398 | + | 9.37773i | 0.746819 | + | 0.309343i | 0.723443 | − | 0.690384i | \(-0.242558\pi\) |
0.0233764 | + | 0.999727i | \(0.492558\pi\) | |||||||
\(920\) | 20.7205 | − | 21.3811i | 0.683135 | − | 0.704915i | ||||
\(921\) | 15.4867 | + | 13.5589i | 0.510303 | + | 0.446782i | ||||
\(922\) | 22.0927 | − | 11.6480i | 0.727585 | − | 0.383606i | ||||
\(923\) | −18.5700 | − | 6.30366i | −0.611238 | − | 0.207487i | ||||
\(924\) | 1.59596 | − | 1.19812i | 0.0525032 | − | 0.0394153i | ||||
\(925\) | −13.7100 | + | 27.8011i | −0.450781 | + | 0.914094i | ||||
\(926\) | −20.4265 | + | 9.11570i | −0.671258 | + | 0.299560i | ||||
\(927\) | −24.9312 | + | 10.3749i | −0.818848 | + | 0.340756i | ||||
\(928\) | −23.0097 | + | 7.92209i | −0.755330 | + | 0.260055i | ||||
\(929\) | −27.6619 | + | 15.9706i | −0.907558 | + | 0.523979i | −0.879645 | − | 0.475631i | \(-0.842220\pi\) |
−0.0279137 | + | 0.999610i | \(0.508886\pi\) | |||||||
\(930\) | 31.5021 | + | 84.9481i | 1.03299 | + | 2.78556i | ||||
\(931\) | −10.0041 | + | 0.655703i | −0.327871 | + | 0.0214898i | ||||
\(932\) | 18.0109 | + | 1.38609i | 0.589968 | + | 0.0454028i | ||||
\(933\) | −1.30606 | − | 9.85792i | −0.0427586 | − | 0.322734i | ||||
\(934\) | −0.207923 | − | 0.00798887i | −0.00680345 | − | 0.000261404i | ||||
\(935\) | 6.26410 | − | 2.59468i | 0.204858 | − | 0.0848550i | ||||
\(936\) | 4.99016 | + | 17.4106i | 0.163109 | + | 0.569084i | ||||
\(937\) | −13.8956 | − | 5.75576i | −0.453950 | − | 0.188032i | 0.143980 | − | 0.989581i | \(-0.454010\pi\) |
−0.597930 | + | 0.801548i | \(0.704010\pi\) | |||||||
\(938\) | −8.89163 | + | 19.3315i | −0.290322 | + | 0.631195i | ||||
\(939\) | 12.8025 | − | 5.31531i | 0.417794 | − | 0.173458i | ||||
\(940\) | 76.6046 | + | 21.4615i | 2.49857 | + | 0.699996i | ||||
\(941\) | 4.01911 | + | 3.52466i | 0.131019 | + | 0.114901i | 0.722348 | − | 0.691530i | \(-0.243063\pi\) |
−0.591329 | + | 0.806431i | \(0.701396\pi\) | |||||||
\(942\) | 13.2943 | − | 43.0713i | 0.433152 | − | 1.40334i | ||||
\(943\) | 4.75581 | − | 17.7489i | 0.154871 | − | 0.577985i | ||||
\(944\) | −2.45109 | − | 7.79826i | −0.0797763 | − | 0.253812i | ||||
\(945\) | 42.3586 | − | 28.4544i | 1.37792 | − | 0.925622i | ||||
\(946\) | 2.33252 | − | 0.0631018i | 0.0758366 | − | 0.00205162i | ||||
\(947\) | −8.59836 | − | 25.3300i | −0.279409 | − | 0.823113i | −0.992522 | − | 0.122064i | \(-0.961049\pi\) |
0.713113 | − | 0.701049i | \(-0.247285\pi\) | |||||||
\(948\) | −40.3699 | − | 20.4397i | −1.31115 | − | 0.663851i | ||||
\(949\) | 7.06902 | + | 14.3346i | 0.229470 | + | 0.465319i | ||||
\(950\) | 97.9890 | + | 81.3531i | 3.17918 | + | 2.63944i | ||||
\(951\) | 22.7460 | + | 33.9812i | 0.737588 | + | 1.10192i | ||||
\(952\) | −25.9486 | − | 37.5459i | −0.840999 | − | 1.21687i | ||||
\(953\) | −10.9415 | − | 26.4151i | −0.354429 | − | 0.855668i | −0.996062 | − | 0.0886559i | \(-0.971743\pi\) |
0.641633 | − | 0.767012i | \(-0.278257\pi\) | |||||||
\(954\) | 0.782369 | + | 8.28611i | 0.0253301 | + | 0.268273i | ||||
\(955\) | −28.6356 | + | 5.69598i | −0.926628 | + | 0.184318i | ||||
\(956\) | −19.5869 | + | 12.7682i | −0.633486 | + | 0.412953i | ||||
\(957\) | −1.56187 | + | 0.903457i | −0.0504880 | + | 0.0292046i | ||||
\(958\) | 25.5506 | + | 31.4965i | 0.825501 | + | 1.01760i | ||||
\(959\) | 3.01016 | − | 5.21374i | 0.0972030 | − | 0.168361i | ||||
\(960\) | −5.57666 | − | 56.9264i | −0.179986 | − | 1.83729i | ||||
\(961\) | 24.6433 | + | 42.6834i | 0.794944 | + | 1.37688i | ||||
\(962\) | −2.77877 | + | 7.25774i | −0.0895912 | + | 0.233999i | ||||
\(963\) | 0.555791 | − | 8.69882i | 0.0179101 | − | 0.280316i | ||||
\(964\) | 32.2169 | − | 1.74441i | 1.03764 | − | 0.0561837i | ||||
\(965\) | −65.3714 | − | 74.5418i | −2.10438 | − | 2.39958i | ||||
\(966\) | −13.8822 | − | 5.30199i | −0.446651 | − | 0.170589i | ||||
\(967\) | 17.4710 | + | 2.30011i | 0.561831 | + | 0.0739664i | 0.406093 | − | 0.913832i | \(-0.366891\pi\) |
0.155738 | + | 0.987798i | \(0.450224\pi\) | |||||||
\(968\) | 10.4061 | + | 29.1448i | 0.334464 | + | 0.936750i | ||||
\(969\) | −87.6790 | + | 5.81917i | −2.81666 | + | 0.186939i | ||||
\(970\) | 35.8178 | − | 13.2492i | 1.15004 | − | 0.425405i | ||||
\(971\) | 19.4533 | − | 29.1140i | 0.624287 | − | 0.934312i | −0.375684 | − | 0.926748i | \(-0.622592\pi\) |
0.999971 | − | 0.00756399i | \(-0.00240772\pi\) | |||||||
\(972\) | −20.7257 | + | 23.2905i | −0.664777 | + | 0.747042i | ||||
\(973\) | 13.1629 | + | 2.61826i | 0.421983 | + | 0.0839376i | ||||
\(974\) | −21.5992 | − | 35.1783i | −0.692085 | − | 1.12719i | ||||
\(975\) | −42.1622 | − | 14.2735i | −1.35027 | − | 0.457118i | ||||
\(976\) | 7.59007 | − | 1.33132i | 0.242952 | − | 0.0426144i | ||||
\(977\) | −60.0561 | + | 16.0920i | −1.92137 | + | 0.514828i | −0.933752 | + | 0.357922i | \(0.883485\pi\) |
−0.987613 | + | 0.156906i | \(0.949848\pi\) | |||||||
\(978\) | −17.6111 | + | 4.01626i | −0.563142 | + | 0.128426i | ||||
\(979\) | 2.16939 | − | 0.736409i | 0.0693341 | − | 0.0235357i | ||||
\(980\) | −10.7209 | + | 2.74254i | −0.342466 | + | 0.0876073i | ||||
\(981\) | −1.93390 | + | 0.660017i | −0.0617445 | + | 0.0210727i | ||||
\(982\) | 9.36374 | + | 13.2251i | 0.298809 | + | 0.422029i | ||||
\(983\) | 0.701662 | + | 5.32965i | 0.0223795 | + | 0.169990i | 0.998985 | − | 0.0450509i | \(-0.0143450\pi\) |
−0.976605 | + | 0.215040i | \(0.931012\pi\) | |||||||
\(984\) | −20.0937 | − | 29.0233i | −0.640565 | − | 0.925230i | ||||
\(985\) | 6.35924 | − | 48.3032i | 0.202622 | − | 1.53907i | ||||
\(986\) | 19.2454 | + | 36.5026i | 0.612897 | + | 1.16248i | ||||
\(987\) | −5.21495 | − | 39.3615i | −0.165994 | − | 1.25289i | ||||
\(988\) | 26.3459 | + | 18.0399i | 0.838174 | + | 0.573924i | ||||
\(989\) | −9.65306 | − | 14.4468i | −0.306949 | − | 0.459382i | ||||
\(990\) | −1.21472 | − | 4.06334i | −0.0386064 | − | 0.129142i | ||||
\(991\) | − | 46.0705i | − | 1.46348i | −0.681584 | − | 0.731740i | \(-0.738709\pi\) | ||
0.681584 | − | 0.731740i | \(-0.261291\pi\) | |||||||
\(992\) | −13.3308 | − | 48.9026i | −0.423252 | − | 1.55266i | ||||
\(993\) | 43.0225 | + | 28.6956i | 1.36528 | + | 0.910627i | ||||
\(994\) | 3.20442 | − | 30.7443i | 0.101638 | − | 0.975149i | ||||
\(995\) | −44.0197 | + | 2.88520i | −1.39552 | + | 0.0914671i | ||||
\(996\) | −1.85241 | + | 0.224048i | −0.0586959 | + | 0.00709924i | ||||
\(997\) | 33.3957 | − | 29.2872i | 1.05765 | − | 0.927536i | 0.0601517 | − | 0.998189i | \(-0.480842\pi\) |
0.997501 | + | 0.0706528i | \(0.0225082\pi\) | |||||||
\(998\) | 40.1345 | + | 25.2744i | 1.27044 | + | 0.800048i | ||||
\(999\) | −13.1142 | + | 2.64220i | −0.414914 | + | 0.0835956i |
(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 | 576.2.bm.a.13.52 | ✓ | 1504 | |
9.7 | even | 3 | inner | 576.2.bm.a.205.76 | yes | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.517.76 | yes | 1504 | |
576.133 | even | 48 | inner | 576.2.bm.a.133.52 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.52 | ✓ | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.133.52 | yes | 1504 | 576.133 | even | 48 | inner | |
576.2.bm.a.205.76 | yes | 1504 | 9.7 | even | 3 | inner | |
576.2.bm.a.517.76 | yes | 1504 | 64.5 | even | 16 | inner |