Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [503,2,Mod(2,503)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(503, base_ring=CyclotomicField(502))
chi = DirichletCharacter(H, H._module([202]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("503.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 503 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 503.c (of order \(251\), degree \(250\), 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: | \(4.01647522167\) |
Analytic rank: | \(0\) |
Dimension: | \(10250\) |
Relative dimension: | \(41\) over \(\Q(\zeta_{251})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{251}]$ |
Embedding invariants
Embedding label | 2.10 | ||
Character | \(\chi\) | \(=\) | 503.2 |
Dual form | 503.2.c.a.252.10 |
$q$-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 \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{101}{251}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.994976 | − | 1.22503i | −0.703555 | − | 0.866228i | 0.292381 | − | 0.956302i | \(-0.405553\pi\) |
−0.995935 | + | 0.0900739i | \(0.971290\pi\) | |||||||
\(3\) | −1.98352 | + | 1.71676i | −1.14519 | + | 0.991169i | −0.145188 | + | 0.989404i | \(0.546379\pi\) |
−0.999998 | + | 0.00176497i | \(0.999438\pi\) | |||||||
\(4\) | −0.100616 | + | 0.480254i | −0.0503080 | + | 0.240127i | ||||
\(5\) | −1.27158 | − | 4.01588i | −0.568667 | − | 1.79596i | −0.604506 | − | 0.796601i | \(-0.706629\pi\) |
0.0358388 | − | 0.999358i | \(-0.488590\pi\) | |||||||
\(6\) | 4.07664 | + | 0.721744i | 1.66428 | + | 0.294651i | ||||
\(7\) | 1.44819 | − | 4.20490i | 0.547365 | − | 1.58930i | −0.238656 | − | 0.971104i | \(-0.576707\pi\) |
0.786021 | − | 0.618200i | \(-0.212138\pi\) | |||||||
\(8\) | −2.11761 | + | 1.09069i | −0.748689 | + | 0.385617i | ||||
\(9\) | 0.556781 | − | 3.84146i | 0.185594 | − | 1.28049i | ||||
\(10\) | −3.65440 | + | 5.55343i | −1.15562 | + | 1.75615i | ||||
\(11\) | 0.114889 | − | 0.0371709i | 0.0346405 | − | 0.0112075i | −0.290455 | − | 0.956889i | \(-0.593807\pi\) |
0.325096 | + | 0.945681i | \(0.394604\pi\) | |||||||
\(12\) | −0.624904 | − | 1.12533i | −0.180394 | − | 0.324854i | ||||
\(13\) | 3.46878 | − | 1.17043i | 0.962066 | − | 0.324620i | 0.205587 | − | 0.978639i | \(-0.434089\pi\) |
0.756479 | + | 0.654019i | \(0.226918\pi\) | |||||||
\(14\) | −6.59206 | + | 2.40970i | −1.76180 | + | 0.644019i | ||||
\(15\) | 9.41649 | + | 5.78260i | 2.43133 | + | 1.49306i | ||||
\(16\) | 4.34194 | + | 1.90284i | 1.08548 | + | 0.475711i | ||||
\(17\) | −0.419893 | − | 0.209661i | −0.101839 | − | 0.0508502i | 0.395083 | − | 0.918645i | \(-0.370716\pi\) |
−0.496922 | + | 0.867795i | \(0.665537\pi\) | |||||||
\(18\) | −5.25989 | + | 3.14009i | −1.23977 | + | 0.740126i | ||||
\(19\) | −2.54124 | − | 5.70132i | −0.583001 | − | 1.30797i | −0.929119 | − | 0.369781i | \(-0.879433\pi\) |
0.346118 | − | 0.938191i | \(-0.387500\pi\) | |||||||
\(20\) | 2.05658 | − | 0.206618i | 0.459866 | − | 0.0462011i | ||||
\(21\) | 4.34627 | + | 10.8267i | 0.948435 | + | 2.36258i | ||||
\(22\) | −0.159848 | − | 0.103759i | −0.0340797 | − | 0.0221215i | ||||
\(23\) | 1.36173 | − | 4.70690i | 0.283941 | − | 0.981456i | −0.683834 | − | 0.729638i | \(-0.739689\pi\) |
0.967774 | − | 0.251818i | \(-0.0810286\pi\) | |||||||
\(24\) | 2.32788 | − | 5.79883i | 0.475177 | − | 1.18368i | ||||
\(25\) | −10.4217 | + | 7.33518i | −2.08433 | + | 1.46704i | ||||
\(26\) | −4.88517 | − | 3.08481i | −0.958061 | − | 0.604981i | ||||
\(27\) | 1.24701 | + | 1.94769i | 0.239987 | + | 0.374833i | ||||
\(28\) | 1.87371 | + | 1.11858i | 0.354098 | + | 0.211392i | ||||
\(29\) | −0.296587 | + | 2.48256i | −0.0550749 | + | 0.460999i | 0.938277 | + | 0.345884i | \(0.112421\pi\) |
−0.993352 | + | 0.115115i | \(0.963276\pi\) | |||||||
\(30\) | −2.28532 | − | 17.2891i | −0.417240 | − | 3.15653i | ||||
\(31\) | 0.314516 | + | 3.85739i | 0.0564887 | + | 0.692807i | 0.962803 | + | 0.270204i | \(0.0870910\pi\) |
−0.906315 | + | 0.422604i | \(0.861116\pi\) | |||||||
\(32\) | −0.722505 | − | 2.61976i | −0.127722 | − | 0.463113i | ||||
\(33\) | −0.164072 | + | 0.270966i | −0.0285613 | + | 0.0471692i | ||||
\(34\) | 0.160942 | + | 0.722990i | 0.0276014 | + | 0.123992i | ||||
\(35\) | −18.7279 | − | 0.468906i | −3.16559 | − | 0.0792596i | ||||
\(36\) | 1.78885 | + | 0.653909i | 0.298142 | + | 0.108985i | ||||
\(37\) | 2.57013 | + | 3.24659i | 0.422527 | + | 0.533737i | 0.948505 | − | 0.316761i | \(-0.102595\pi\) |
−0.525978 | + | 0.850498i | \(0.676301\pi\) | |||||||
\(38\) | −4.45582 | + | 8.78578i | −0.722829 | + | 1.42524i | ||||
\(39\) | −4.87104 | + | 8.27662i | −0.779991 | + | 1.32532i | ||||
\(40\) | 7.07279 | + | 7.11719i | 1.11831 | + | 1.12533i | ||||
\(41\) | −0.941818 | + | 4.79360i | −0.147087 | + | 0.748635i | 0.833495 | + | 0.552527i | \(0.186336\pi\) |
−0.980582 | + | 0.196108i | \(0.937170\pi\) | |||||||
\(42\) | 8.93861 | − | 16.0966i | 1.37926 | − | 2.48376i | ||||
\(43\) | 0.353129 | − | 1.92435i | 0.0538517 | − | 0.293461i | −0.945644 | − | 0.325202i | \(-0.894568\pi\) |
0.999496 | + | 0.0317417i | \(0.0101054\pi\) | |||||||
\(44\) | 0.00629175 | + | 0.0589160i | 0.000948517 | + | 0.00888193i | ||||
\(45\) | −16.1349 | + | 2.64875i | −2.40524 | + | 0.394852i | ||||
\(46\) | −7.12099 | + | 3.01509i | −1.04993 | + | 0.444551i | ||||
\(47\) | −12.5580 | + | 0.471759i | −1.83177 | + | 0.0688132i | −0.930898 | − | 0.365280i | \(-0.880973\pi\) |
−0.900868 | + | 0.434093i | \(0.857069\pi\) | |||||||
\(48\) | −11.8790 | + | 3.67971i | −1.71459 | + | 0.531120i | ||||
\(49\) | −10.0685 | − | 7.86862i | −1.43835 | − | 1.12409i | ||||
\(50\) | 19.3551 | + | 5.46852i | 2.73723 | + | 0.773365i | ||||
\(51\) | 1.19280 | − | 0.304987i | 0.167026 | − | 0.0427067i | ||||
\(52\) | 0.213091 | + | 1.78366i | 0.0295504 | + | 0.247349i | ||||
\(53\) | 2.81691 | − | 6.31978i | 0.386932 | − | 0.868088i | −0.610189 | − | 0.792256i | \(-0.708906\pi\) |
0.997121 | − | 0.0758320i | \(-0.0241613\pi\) | |||||||
\(54\) | 1.14523 | − | 3.46553i | 0.155846 | − | 0.471599i | ||||
\(55\) | −0.295365 | − | 0.414117i | −0.0398270 | − | 0.0558395i | ||||
\(56\) | 1.51953 | + | 10.4839i | 0.203056 | + | 1.40097i | ||||
\(57\) | 14.8284 | + | 6.94599i | 1.96407 | + | 0.920019i | ||||
\(58\) | 3.33631 | − | 2.10676i | 0.438079 | − | 0.276631i | ||||
\(59\) | 0.698148 | − | 1.67805i | 0.0908911 | − | 0.218463i | −0.871350 | − | 0.490662i | \(-0.836755\pi\) |
0.962241 | + | 0.272199i | \(0.0877509\pi\) | |||||||
\(60\) | −3.72457 | + | 3.94048i | −0.480839 | + | 0.508714i | ||||
\(61\) | 4.97693 | + | 8.21943i | 0.637230 | + | 1.05239i | 0.993034 | + | 0.117829i | \(0.0375936\pi\) |
−0.355804 | + | 0.934561i | \(0.615793\pi\) | |||||||
\(62\) | 4.41249 | − | 4.22330i | 0.560386 | − | 0.536360i | ||||
\(63\) | −15.3467 | − | 7.90438i | −1.93350 | − | 0.995858i | ||||
\(64\) | 3.01507 | − | 4.22728i | 0.376883 | − | 0.528410i | ||||
\(65\) | −9.11115 | − | 12.4419i | −1.13010 | − | 1.54323i | ||||
\(66\) | 0.495190 | − | 0.0686115i | 0.0609537 | − | 0.00844549i | ||||
\(67\) | 10.5807 | − | 6.49752i | 1.29264 | − | 0.793799i | 0.305272 | − | 0.952265i | \(-0.401252\pi\) |
0.987364 | + | 0.158466i | \(0.0506548\pi\) | |||||||
\(68\) | 0.142938 | − | 0.180560i | 0.0173338 | − | 0.0218961i | ||||
\(69\) | 5.37957 | + | 11.6740i | 0.647624 | + | 1.40538i | ||||
\(70\) | 18.0594 | + | 23.4088i | 2.15851 | + | 2.79789i | ||||
\(71\) | 2.23981 | + | 14.1991i | 0.265817 | + | 1.68513i | 0.648474 | + | 0.761237i | \(0.275407\pi\) |
−0.382657 | + | 0.923890i | \(0.624991\pi\) | |||||||
\(72\) | 3.01079 | + | 8.74200i | 0.354825 | + | 1.03025i | ||||
\(73\) | 4.23387 | + | 4.05235i | 0.495538 | + | 0.474291i | 0.897280 | − | 0.441461i | \(-0.145540\pi\) |
−0.401743 | + | 0.915753i | \(0.631595\pi\) | |||||||
\(74\) | 1.41996 | − | 6.37878i | 0.165067 | − | 0.741518i | ||||
\(75\) | 8.07884 | − | 32.4409i | 0.932864 | − | 3.74595i | ||||
\(76\) | 2.99377 | − | 0.646796i | 0.343409 | − | 0.0741926i | ||||
\(77\) | 0.0100817 | − | 0.536929i | 0.00114892 | − | 0.0611888i | ||||
\(78\) | 14.9857 | − | 2.26787i | 1.69680 | − | 0.256785i | ||||
\(79\) | −0.436680 | − | 7.74488i | −0.0491303 | − | 0.871367i | −0.922903 | − | 0.385033i | \(-0.874190\pi\) |
0.873773 | − | 0.486335i | \(-0.161666\pi\) | |||||||
\(80\) | 2.12049 | − | 19.8563i | 0.237078 | − | 2.22001i | ||||
\(81\) | 5.34844 | + | 1.58367i | 0.594271 | + | 0.175964i | ||||
\(82\) | 6.80940 | − | 3.61577i | 0.751973 | − | 0.399294i | ||||
\(83\) | −3.77782 | − | 7.22337i | −0.414670 | − | 0.792868i | 0.585167 | − | 0.810913i | \(-0.301029\pi\) |
−0.999837 | + | 0.0180445i | \(0.994256\pi\) | |||||||
\(84\) | −5.63687 | + | 0.997974i | −0.615033 | + | 0.108888i | ||||
\(85\) | −0.308047 | + | 1.95284i | −0.0334124 | + | 0.211816i | ||||
\(86\) | −2.70875 | + | 1.48209i | −0.292092 | + | 0.159818i | ||||
\(87\) | −3.67366 | − | 5.43337i | −0.393857 | − | 0.582519i | ||||
\(88\) | −0.202749 | + | 0.204022i | −0.0216132 | + | 0.0217488i | ||||
\(89\) | 2.51405 | + | 9.58219i | 0.266489 | + | 1.01571i | 0.956458 | + | 0.291871i | \(0.0942776\pi\) |
−0.689969 | + | 0.723839i | \(0.742376\pi\) | |||||||
\(90\) | 19.2986 | + | 17.1303i | 2.03425 | + | 1.80569i | ||||
\(91\) | 0.101890 | − | 16.2809i | 0.0106809 | − | 1.70670i | ||||
\(92\) | 2.12349 | + | 1.12757i | 0.221390 | + | 0.117557i | ||||
\(93\) | −7.24604 | − | 7.11126i | −0.751379 | − | 0.737403i | ||||
\(94\) | 13.0728 | + | 14.9145i | 1.34835 | + | 1.53831i | ||||
\(95\) | −19.6644 | + | 17.4550i | −2.01753 | + | 1.79085i | ||||
\(96\) | 5.93060 | + | 3.95599i | 0.605289 | + | 0.403757i | ||||
\(97\) | −0.660930 | − | 2.80315i | −0.0671072 | − | 0.284617i | 0.929298 | − | 0.369330i | \(-0.120413\pi\) |
−0.996405 | + | 0.0847132i | \(0.973003\pi\) | |||||||
\(98\) | 0.378599 | + | 20.1633i | 0.0382443 | + | 2.03680i | ||||
\(99\) | −0.0788224 | − | 0.462039i | −0.00792195 | − | 0.0464367i | ||||
\(100\) | −2.47416 | − | 5.74307i | −0.247416 | − | 0.574307i | ||||
\(101\) | 2.35203 | − | 0.927150i | 0.234036 | − | 0.0922549i | −0.246797 | − | 0.969067i | \(-0.579378\pi\) |
0.480833 | + | 0.876812i | \(0.340334\pi\) | |||||||
\(102\) | −1.56043 | − | 1.15777i | −0.154506 | − | 0.114636i | ||||
\(103\) | 7.80176 | − | 1.58361i | 0.768730 | − | 0.156038i | 0.201378 | − | 0.979514i | \(-0.435458\pi\) |
0.567352 | + | 0.823476i | \(0.307968\pi\) | |||||||
\(104\) | −6.06895 | + | 6.26188i | −0.595109 | + | 0.614028i | ||||
\(105\) | 37.9522 | − | 31.2211i | 3.70375 | − | 3.04687i | ||||
\(106\) | −10.5447 | + | 2.83723i | −1.02419 | + | 0.275576i | ||||
\(107\) | −10.4626 | − | 0.393045i | −1.01146 | − | 0.0379971i | −0.473352 | − | 0.880873i | \(-0.656956\pi\) |
−0.538108 | + | 0.842876i | \(0.680861\pi\) | |||||||
\(108\) | −1.06085 | + | 0.402913i | −0.102081 | + | 0.0387703i | ||||
\(109\) | 6.71746 | + | 7.10688i | 0.643416 | + | 0.680715i | 0.963816 | − | 0.266567i | \(-0.0858893\pi\) |
−0.320401 | + | 0.947282i | \(0.603818\pi\) | |||||||
\(110\) | −0.213425 | + | 0.773868i | −0.0203493 | + | 0.0737854i | ||||
\(111\) | −10.6715 | − | 2.02740i | −1.01290 | − | 0.192432i | ||||
\(112\) | 14.2892 | − | 15.5017i | 1.35021 | − | 1.46478i | ||||
\(113\) | 0.723862 | + | 1.47268i | 0.0680952 | + | 0.138539i | 0.928819 | − | 0.370534i | \(-0.120825\pi\) |
−0.860724 | + | 0.509072i | \(0.829989\pi\) | |||||||
\(114\) | −6.24482 | − | 25.0763i | −0.584881 | − | 2.34861i | ||||
\(115\) | −20.6339 | + | 0.516629i | −1.92412 | + | 0.0481759i | ||||
\(116\) | −1.16242 | − | 0.392222i | −0.107928 | − | 0.0364169i | ||||
\(117\) | −2.56483 | − | 13.9769i | −0.237119 | − | 1.29216i | ||||
\(118\) | −2.75030 | + | 0.814364i | −0.253186 | + | 0.0749683i | ||||
\(119\) | −1.48969 | + | 1.46198i | −0.136560 | + | 0.134020i | ||||
\(120\) | −26.2475 | − | 1.97484i | −2.39606 | − | 0.180278i | ||||
\(121\) | −8.90353 | + | 6.43480i | −0.809411 | + | 0.584982i | ||||
\(122\) | 5.11714 | − | 14.2750i | 0.463284 | − | 1.29240i | ||||
\(123\) | −6.36133 | − | 11.1251i | −0.573582 | − | 1.00311i | ||||
\(124\) | −1.88417 | − | 0.237068i | −0.169203 | − | 0.0212893i | ||||
\(125\) | 25.9529 | + | 19.7643i | 2.32130 | + | 1.76777i | ||||
\(126\) | 5.58644 | + | 26.6648i | 0.497679 | + | 2.37549i | ||||
\(127\) | −2.33759 | + | 1.31729i | −0.207428 | + | 0.116891i | −0.591163 | − | 0.806552i | \(-0.701331\pi\) |
0.383735 | + | 0.923443i | \(0.374638\pi\) | |||||||
\(128\) | −13.6030 | + | 0.852407i | −1.20234 | + | 0.0753429i | ||||
\(129\) | 2.60320 | + | 4.42322i | 0.229199 | + | 0.389443i | ||||
\(130\) | −6.17635 | + | 23.5409i | −0.541702 | + | 2.06467i | ||||
\(131\) | 15.9436 | − | 10.6352i | 1.39300 | − | 0.929198i | 0.393048 | − | 0.919518i | \(-0.371421\pi\) |
0.999953 | − | 0.00968029i | \(-0.00308138\pi\) | |||||||
\(132\) | −0.113624 | − | 0.106060i | −0.00988972 | − | 0.00923132i | ||||
\(133\) | −27.6537 | + | 2.42907i | −2.39788 | + | 0.210627i | ||||
\(134\) | −18.4872 | − | 6.49679i | −1.59705 | − | 0.561238i | ||||
\(135\) | 6.23602 | − | 7.48449i | 0.536711 | − | 0.644162i | ||||
\(136\) | 1.11785 | − | 0.0139920i | 0.0958545 | − | 0.00119981i | ||||
\(137\) | −2.19770 | − | 5.67913i | −0.187762 | − | 0.485200i | 0.806617 | − | 0.591074i | \(-0.201296\pi\) |
−0.994380 | + | 0.105874i | \(0.966236\pi\) | |||||||
\(138\) | 8.94847 | − | 18.2055i | 0.761744 | − | 1.54975i | ||||
\(139\) | −15.5556 | − | 3.36074i | −1.31941 | − | 0.285055i | −0.503880 | − | 0.863774i | \(-0.668095\pi\) |
−0.815527 | + | 0.578719i | \(0.803553\pi\) | |||||||
\(140\) | 2.10952 | − | 8.94696i | 0.178287 | − | 0.756156i | ||||
\(141\) | 24.0991 | − | 22.4947i | 2.02951 | − | 1.89439i | ||||
\(142\) | 15.1658 | − | 16.8716i | 1.27269 | − | 1.41584i | ||||
\(143\) | 0.355020 | − | 0.263408i | 0.0296882 | − | 0.0220273i | ||||
\(144\) | 9.72721 | − | 15.6199i | 0.810601 | − | 1.30166i | ||||
\(145\) | 10.3468 | − | 1.96571i | 0.859255 | − | 0.163243i | ||||
\(146\) | 0.751649 | − | 9.21862i | 0.0622069 | − | 0.762938i | ||||
\(147\) | 33.4795 | − | 1.67756i | 2.76134 | − | 0.138363i | ||||
\(148\) | −1.81779 | + | 0.907656i | −0.149421 | + | 0.0746089i | ||||
\(149\) | 2.54942 | − | 3.98190i | 0.208857 | − | 0.326210i | −0.721801 | − | 0.692100i | \(-0.756686\pi\) |
0.930658 | + | 0.365890i | \(0.119235\pi\) | |||||||
\(150\) | −47.7794 | + | 22.3811i | −3.90117 | + | 1.82741i | ||||
\(151\) | 10.1195 | + | 15.3781i | 0.823510 | + | 1.25145i | 0.965192 | + | 0.261543i | \(0.0842312\pi\) |
−0.141681 | + | 0.989912i | \(0.545251\pi\) | |||||||
\(152\) | 11.5997 | + | 9.30148i | 0.940862 | + | 0.754450i | ||||
\(153\) | −1.03919 | + | 1.49627i | −0.0840138 | + | 0.120966i | ||||
\(154\) | −0.667787 | + | 0.521882i | −0.0538118 | + | 0.0420544i | ||||
\(155\) | 15.0909 | − | 6.16803i | 1.21213 | − | 0.495428i | ||||
\(156\) | −3.48477 | − | 3.17210i | −0.279005 | − | 0.253971i | ||||
\(157\) | 2.75239 | − | 5.78137i | 0.219665 | − | 0.461404i | −0.763096 | − | 0.646285i | \(-0.776322\pi\) |
0.982761 | + | 0.184881i | \(0.0591901\pi\) | |||||||
\(158\) | −9.05324 | + | 8.24092i | −0.720237 | + | 0.655613i | ||||
\(159\) | 5.26212 | + | 17.3713i | 0.417313 | + | 1.37764i | ||||
\(160\) | −9.60195 | + | 6.23273i | −0.759101 | + | 0.492741i | ||||
\(161\) | −17.8200 | − | 12.5424i | −1.40441 | − | 0.988484i | ||||
\(162\) | −3.38152 | − | 8.12772i | −0.265677 | − | 0.638574i | ||||
\(163\) | −0.109468 | − | 0.0415759i | −0.00857417 | − | 0.00325648i | 0.350764 | − | 0.936464i | \(-0.385922\pi\) |
−0.359338 | + | 0.933207i | \(0.616998\pi\) | |||||||
\(164\) | −2.20738 | − | 0.934625i | −0.172368 | − | 0.0729819i | ||||
\(165\) | 1.29680 | + | 0.314340i | 0.100956 | + | 0.0244713i | ||||
\(166\) | −5.09002 | + | 11.8150i | −0.395062 | + | 0.917025i | ||||
\(167\) | 0.107071 | − | 3.42070i | 0.00828542 | − | 0.264702i | −0.986566 | − | 0.163361i | \(-0.947766\pi\) |
0.994852 | − | 0.101341i | \(-0.0323132\pi\) | |||||||
\(168\) | −21.0123 | − | 18.1863i | −1.62113 | − | 1.40311i | ||||
\(169\) | 0.320091 | − | 0.243763i | 0.0246224 | − | 0.0187510i | ||||
\(170\) | 2.69879 | − | 1.56566i | 0.206988 | − | 0.120081i | ||||
\(171\) | −23.3163 | + | 6.58769i | −1.78304 | + | 0.503774i | ||||
\(172\) | 0.888646 | + | 0.363212i | 0.0677586 | + | 0.0276947i | ||||
\(173\) | −10.1550 | − | 21.3305i | −0.772070 | − | 1.62173i | −0.783186 | − | 0.621787i | \(-0.786407\pi\) |
0.0111156 | − | 0.999938i | \(-0.496462\pi\) | |||||||
\(174\) | −3.00085 | + | 9.90642i | −0.227494 | + | 0.751004i | ||||
\(175\) | 15.7512 | + | 54.4448i | 1.19068 | + | 4.11564i | ||||
\(176\) | 0.569573 | + | 0.0572230i | 0.0429332 | + | 0.00431334i | ||||
\(177\) | 1.49601 | + | 4.52699i | 0.112447 | + | 0.340269i | ||||
\(178\) | 9.23706 | − | 12.6138i | 0.692347 | − | 0.945448i | ||||
\(179\) | −2.20740 | + | 4.09501i | −0.164989 | + | 0.306076i | −0.949345 | − | 0.314234i | \(-0.898252\pi\) |
0.784357 | + | 0.620310i | \(0.212993\pi\) | |||||||
\(180\) | 0.351353 | − | 8.01533i | 0.0261883 | − | 0.597427i | ||||
\(181\) | −1.81041 | − | 26.2574i | −0.134567 | − | 1.95170i | −0.274613 | − | 0.961555i | \(-0.588550\pi\) |
0.140046 | − | 0.990145i | \(-0.455275\pi\) | |||||||
\(182\) | −20.0460 | + | 16.0743i | −1.48591 | + | 1.19151i | ||||
\(183\) | −23.9826 | − | 7.75924i | −1.77284 | − | 0.573580i | ||||
\(184\) | 2.25014 | + | 11.4526i | 0.165882 | + | 0.844298i | ||||
\(185\) | 9.76982 | − | 14.4497i | 0.718292 | − | 1.06236i | ||||
\(186\) | −1.50188 | + | 15.9522i | −0.110123 | + | 1.16967i | ||||
\(187\) | −0.0560346 | − | 0.00848001i | −0.00409765 | − | 0.000620120i | ||||
\(188\) | 1.03697 | − | 6.07847i | 0.0756286 | − | 0.443318i | ||||
\(189\) | 9.99575 | − | 2.42294i | 0.727084 | − | 0.176243i | ||||
\(190\) | 40.9486 | + | 6.72226i | 2.97072 | + | 0.487684i | ||||
\(191\) | 1.06702 | − | 18.9245i | 0.0772069 | − | 1.36933i | −0.688078 | − | 0.725637i | \(-0.741545\pi\) |
0.765285 | − | 0.643692i | \(-0.222598\pi\) | |||||||
\(192\) | 1.27676 | + | 13.5610i | 0.0921420 | + | 0.978682i | ||||
\(193\) | 5.34147 | + | 2.92258i | 0.384487 | + | 0.210372i | 0.660575 | − | 0.750760i | \(-0.270313\pi\) |
−0.276087 | + | 0.961133i | \(0.589038\pi\) | |||||||
\(194\) | −2.77634 | + | 3.59873i | −0.199330 | + | 0.258374i | ||||
\(195\) | 39.4319 | + | 9.03717i | 2.82378 | + | 0.647165i | ||||
\(196\) | 4.79198 | − | 4.04372i | 0.342284 | − | 0.288837i | ||||
\(197\) | 1.48609 | − | 0.111812i | 0.105880 | − | 0.00796631i | −0.0219817 | − | 0.999758i | \(-0.506998\pi\) |
0.127861 | + | 0.991792i | \(0.459189\pi\) | |||||||
\(198\) | −0.487586 | + | 0.556278i | −0.0346512 | + | 0.0395330i | ||||
\(199\) | −0.101312 | − | 16.1886i | −0.00718182 | − | 1.14758i | −0.822570 | − | 0.568665i | \(-0.807460\pi\) |
0.815388 | − | 0.578915i | \(-0.196524\pi\) | |||||||
\(200\) | 14.0686 | − | 26.8998i | 0.994801 | − | 1.90211i | ||||
\(201\) | −9.83235 | + | 31.0524i | −0.693521 | + | 2.19027i | ||||
\(202\) | −3.47600 | − | 1.95882i | −0.244571 | − | 0.137822i | ||||
\(203\) | 10.0094 | + | 4.84234i | 0.702522 | + | 0.339866i | ||||
\(204\) | 0.0264560 | + | 0.603535i | 0.00185229 | + | 0.0422559i | ||||
\(205\) | 20.4482 | − | 2.31321i | 1.42816 | − | 0.161562i | ||||
\(206\) | −9.70254 | − | 7.98174i | −0.676008 | − | 0.556114i | ||||
\(207\) | −17.3232 | − | 7.85176i | −1.20404 | − | 0.545735i | ||||
\(208\) | 17.2884 | + | 1.51859i | 1.19873 | + | 0.105296i | ||||
\(209\) | −0.503885 | − | 0.560561i | −0.0348544 | − | 0.0387748i | ||||
\(210\) | −76.0084 | − | 15.4283i | −5.24508 | − | 1.06465i | ||||
\(211\) | −15.8448 | + | 10.8582i | −1.09080 | + | 0.747512i | −0.969497 | − | 0.245103i | \(-0.921178\pi\) |
−0.121305 | + | 0.992615i | \(0.538708\pi\) | |||||||
\(212\) | 2.75167 | + | 1.98870i | 0.188985 | + | 0.136584i | ||||
\(213\) | −28.8192 | − | 24.3191i | −1.97466 | − | 1.66631i | ||||
\(214\) | 9.92857 | + | 13.2081i | 0.678703 | + | 0.902888i | ||||
\(215\) | −8.17700 | + | 1.02884i | −0.557667 | + | 0.0701661i | ||||
\(216\) | −4.76501 | − | 2.76435i | −0.324218 | − | 0.188090i | ||||
\(217\) | 16.6754 | + | 4.26373i | 1.13200 | + | 0.289441i | ||||
\(218\) | 2.02244 | − | 15.3003i | 0.136977 | − | 1.03627i | ||||
\(219\) | −15.3549 | − | 0.769388i | −1.03759 | − | 0.0519904i | ||||
\(220\) | 0.228600 | − | 0.100183i | 0.0154122 | − | 0.00675436i | ||||
\(221\) | −1.70191 | − | 0.235810i | −0.114483 | − | 0.0158623i | ||||
\(222\) | 8.13428 | + | 15.0902i | 0.545937 | + | 1.01279i | ||||
\(223\) | −18.0961 | + | 8.75451i | −1.21180 | + | 0.586245i | −0.927980 | − | 0.372631i | \(-0.878456\pi\) |
−0.283824 | + | 0.958876i | \(0.591603\pi\) | |||||||
\(224\) | −12.0622 | − | 0.755857i | −0.805939 | − | 0.0505028i | ||||
\(225\) | 22.3752 | + | 44.1185i | 1.49168 | + | 2.94123i | ||||
\(226\) | 1.08386 | − | 2.35204i | 0.0720973 | − | 0.156455i | ||||
\(227\) | 1.82383 | − | 0.417993i | 0.121052 | − | 0.0277432i | −0.162435 | − | 0.986719i | \(-0.551935\pi\) |
0.283487 | + | 0.958976i | \(0.408509\pi\) | |||||||
\(228\) | −4.82781 | + | 6.42250i | −0.319729 | + | 0.425341i | ||||
\(229\) | −8.32575 | + | 14.5606i | −0.550181 | + | 0.962190i | 0.447510 | + | 0.894279i | \(0.352311\pi\) |
−0.997691 | + | 0.0679115i | \(0.978366\pi\) | |||||||
\(230\) | 21.1631 | + | 24.7632i | 1.39546 | + | 1.63283i | ||||
\(231\) | 0.901779 | + | 1.08232i | 0.0593327 | + | 0.0712113i | ||||
\(232\) | −2.07964 | − | 5.58058i | −0.136535 | − | 0.366383i | ||||
\(233\) | 21.5168 | + | 0.269325i | 1.40961 | + | 0.0176441i | 0.713684 | − | 0.700467i | \(-0.247025\pi\) |
0.695928 | + | 0.718112i | \(0.254993\pi\) | |||||||
\(234\) | −14.5701 | + | 17.0486i | −0.952480 | + | 1.11450i | ||||
\(235\) | 17.8629 | + | 49.8314i | 1.16525 | + | 3.25064i | ||||
\(236\) | 0.735643 | + | 0.504126i | 0.0478863 | + | 0.0328158i | ||||
\(237\) | 14.1622 | + | 14.6125i | 0.919936 | + | 0.949181i | ||||
\(238\) | 3.27318 | + | 0.370281i | 0.212169 | + | 0.0240017i | ||||
\(239\) | −0.218309 | + | 3.16625i | −0.0141212 | + | 0.204808i | 0.985301 | + | 0.170826i | \(0.0546436\pi\) |
−0.999422 | + | 0.0339820i | \(0.989181\pi\) | |||||||
\(240\) | 29.8824 | + | 43.0258i | 1.92890 | + | 2.77730i | ||||
\(241\) | −25.9048 | − | 8.02442i | −1.66868 | − | 0.516898i | −0.690265 | − | 0.723557i | \(-0.742506\pi\) |
−0.978413 | + | 0.206659i | \(0.933741\pi\) | |||||||
\(242\) | 16.7416 | + | 4.50463i | 1.07619 | + | 0.289568i | ||||
\(243\) | −19.6468 | + | 8.90492i | −1.26034 | + | 0.571251i | ||||
\(244\) | −4.44817 | + | 1.56318i | −0.284765 | + | 0.100072i | ||||
\(245\) | −18.7966 | + | 50.4394i | −1.20087 | + | 3.22246i | ||||
\(246\) | −7.29920 | + | 18.8620i | −0.465380 | + | 1.20260i | ||||
\(247\) | −15.4880 | − | 16.8023i | −0.985479 | − | 1.06910i | ||||
\(248\) | −4.87323 | − | 7.82541i | −0.309451 | − | 0.496914i | ||||
\(249\) | 19.8942 | + | 7.84211i | 1.26074 | + | 0.496973i | ||||
\(250\) | −1.61069 | − | 51.4581i | −0.101869 | − | 3.25450i | ||||
\(251\) | 0.778633 | − | 0.958666i | 0.0491469 | − | 0.0605105i | −0.751063 | − | 0.660231i | \(-0.770459\pi\) |
0.800210 | + | 0.599720i | \(0.204721\pi\) | |||||||
\(252\) | 5.34023 | − | 6.57498i | 0.336403 | − | 0.414185i | ||||
\(253\) | −0.0185111 | − | 0.591390i | −0.00116378 | − | 0.0371804i | ||||
\(254\) | 3.93957 | + | 1.55295i | 0.247191 | + | 0.0974405i | ||||
\(255\) | −2.74154 | − | 4.40234i | −0.171682 | − | 0.275686i | ||||
\(256\) | 7.54046 | + | 8.18030i | 0.471279 | + | 0.511269i | ||||
\(257\) | 1.86463 | − | 4.81842i | 0.116312 | − | 0.300565i | −0.862261 | − | 0.506464i | \(-0.830952\pi\) |
0.978573 | + | 0.205899i | \(0.0660119\pi\) | |||||||
\(258\) | 2.82847 | − | 7.59001i | 0.176093 | − | 0.472533i | ||||
\(259\) | 17.3737 | − | 6.10547i | 1.07955 | − | 0.379376i | ||||
\(260\) | 6.89200 | − | 3.12381i | 0.427424 | − | 0.193730i | ||||
\(261\) | 9.37152 | + | 2.52157i | 0.580082 | + | 0.156081i | ||||
\(262\) | −28.8919 | − | 8.94971i | −1.78495 | − | 0.552915i | ||||
\(263\) | 4.86859 | + | 7.00997i | 0.300210 | + | 0.432253i | 0.942499 | − | 0.334209i | \(-0.108469\pi\) |
−0.642289 | + | 0.766463i | \(0.722015\pi\) | |||||||
\(264\) | 0.0519013 | − | 0.752753i | 0.00319430 | − | 0.0463287i | ||||
\(265\) | −28.9614 | − | 3.27628i | −1.77909 | − | 0.201260i | ||||
\(266\) | 30.4905 | + | 31.4598i | 1.86949 | + | 1.92892i | ||||
\(267\) | −21.4369 | − | 14.6904i | −1.31192 | − | 0.899041i | ||||
\(268\) | 2.05587 | + | 5.73517i | 0.125582 | + | 0.350331i | ||||
\(269\) | −5.42348 | + | 6.34606i | −0.330675 | + | 0.386926i | −0.900511 | − | 0.434833i | \(-0.856808\pi\) |
0.569836 | + | 0.821759i | \(0.307007\pi\) | |||||||
\(270\) | −15.3734 | − | 0.192429i | −0.935597 | − | 0.0117108i | ||||
\(271\) | −4.60414 | − | 12.3549i | −0.279682 | − | 0.750508i | −0.998471 | − | 0.0552796i | \(-0.982395\pi\) |
0.718789 | − | 0.695228i | \(-0.244697\pi\) | |||||||
\(272\) | −1.42420 | − | 1.70933i | −0.0863546 | − | 0.103643i | ||||
\(273\) | 27.7482 | + | 32.4684i | 1.67940 | + | 1.96508i | ||||
\(274\) | −4.77045 | + | 8.34285i | −0.288193 | + | 0.504010i | ||||
\(275\) | −0.924682 | + | 1.23012i | −0.0557604 | + | 0.0741788i | ||||
\(276\) | −6.14775 | + | 1.40897i | −0.370051 | + | 0.0848099i | ||||
\(277\) | 6.22364 | − | 13.5057i | 0.373942 | − | 0.811477i | −0.625568 | − | 0.780170i | \(-0.715133\pi\) |
0.999510 | − | 0.0313072i | \(-0.00996701\pi\) | |||||||
\(278\) | 11.3604 | + | 22.3999i | 0.681352 | + | 1.34346i | ||||
\(279\) | 14.9931 | + | 0.939519i | 0.897615 | + | 0.0562476i | ||||
\(280\) | 40.1699 | − | 19.4333i | 2.40061 | − | 1.16136i | ||||
\(281\) | 8.19233 | + | 15.1978i | 0.488713 | + | 0.906627i | 0.998915 | + | 0.0465721i | \(0.0148297\pi\) |
−0.510202 | + | 0.860055i | \(0.670429\pi\) | |||||||
\(282\) | −51.5347 | − | 7.14044i | −3.06885 | − | 0.425207i | ||||
\(283\) | 26.7389 | − | 11.7183i | 1.58946 | − | 0.696579i | 0.595204 | − | 0.803575i | \(-0.297071\pi\) |
0.994260 | + | 0.106995i | \(0.0341230\pi\) | |||||||
\(284\) | −7.04455 | − | 0.352982i | −0.418017 | − | 0.0209456i | ||||
\(285\) | 9.03886 | − | 68.3814i | 0.535416 | − | 4.05056i | ||||
\(286\) | −0.675920 | − | 0.172825i | −0.0399680 | − | 0.0102194i | ||||
\(287\) | 18.7927 | + | 10.9023i | 1.10930 | + | 0.643543i | ||||
\(288\) | −10.4660 | + | 1.31684i | −0.616715 | + | 0.0775956i | ||||
\(289\) | −10.0824 | − | 13.4128i | −0.593085 | − | 0.788989i | ||||
\(290\) | −12.7029 | − | 10.7193i | −0.745939 | − | 0.629461i | ||||
\(291\) | 6.12330 | + | 4.42546i | 0.358954 | + | 0.259425i | ||||
\(292\) | −2.37215 | + | 1.62560i | −0.138820 | + | 0.0951312i | ||||
\(293\) | −3.64590 | − | 0.740051i | −0.212996 | − | 0.0432342i | 0.0912491 | − | 0.995828i | \(-0.470914\pi\) |
−0.304245 | + | 0.952594i | \(0.598404\pi\) | |||||||
\(294\) | −35.3664 | − | 39.3443i | −2.06261 | − | 2.29461i | ||||
\(295\) | −7.62659 | − | 0.669912i | −0.444037 | − | 0.0390038i | ||||
\(296\) | −8.98357 | − | 4.07181i | −0.522159 | − | 0.236669i | ||||
\(297\) | 0.215666 | + | 0.177416i | 0.0125142 | + | 0.0102947i | ||||
\(298\) | −7.41457 | + | 0.838778i | −0.429514 | + | 0.0485891i | ||||
\(299\) | −0.785570 | − | 17.9210i | −0.0454307 | − | 1.03640i | ||||
\(300\) | 14.7670 | + | 7.14397i | 0.852573 | + | 0.412457i | ||||
\(301\) | −7.58031 | − | 4.27170i | −0.436922 | − | 0.246217i | ||||
\(302\) | 8.77007 | − | 27.6975i | 0.504661 | − | 1.59381i | ||||
\(303\) | −3.07361 | + | 5.87688i | −0.176574 | + | 0.337618i | ||||
\(304\) | −0.185183 | − | 29.5903i | −0.0106210 | − | 1.69712i | ||||
\(305\) | 26.6797 | − | 30.4384i | 1.52768 | − | 1.74290i | ||||
\(306\) | 2.86695 | − | 0.215707i | 0.163892 | − | 0.0123312i | ||||
\(307\) | −2.62659 | + | 2.21645i | −0.149907 | + | 0.126499i | −0.716760 | − | 0.697319i | \(-0.754376\pi\) |
0.566853 | + | 0.823819i | \(0.308161\pi\) | |||||||
\(308\) | 0.256848 | + | 0.0588655i | 0.0146353 | + | 0.00335417i | ||||
\(309\) | −12.7563 | + | 16.5348i | −0.725678 | + | 0.940634i | ||||
\(310\) | −22.5711 | − | 12.3498i | −1.28195 | − | 0.701420i | ||||
\(311\) | −0.740623 | − | 7.86650i | −0.0419969 | − | 0.446068i | −0.991292 | − | 0.131682i | \(-0.957962\pi\) |
0.949295 | − | 0.314386i | \(-0.101799\pi\) | |||||||
\(312\) | 1.28776 | − | 22.8395i | 0.0729050 | − | 1.29303i | ||||
\(313\) | −6.61703 | − | 1.08627i | −0.374017 | − | 0.0613998i | −0.0279489 | − | 0.999609i | \(-0.508898\pi\) |
−0.346068 | + | 0.938210i | \(0.612483\pi\) | |||||||
\(314\) | −9.82093 | + | 2.38056i | −0.554227 | + | 0.134343i | ||||
\(315\) | −12.2286 | + | 71.6814i | −0.689005 | + | 4.03879i | ||||
\(316\) | 3.76345 | + | 0.569542i | 0.211710 | + | 0.0320393i | ||||
\(317\) | 1.75560 | − | 18.6470i | 0.0986041 | − | 1.04732i | −0.797453 | − | 0.603381i | \(-0.793820\pi\) |
0.896057 | − | 0.443939i | \(-0.146419\pi\) | |||||||
\(318\) | 16.0448 | − | 23.7303i | 0.899745 | − | 1.33073i | ||||
\(319\) | 0.0582042 | + | 0.296244i | 0.00325881 | + | 0.0165865i | ||||
\(320\) | −20.8102 | − | 6.73284i | −1.16332 | − | 0.376377i | ||||
\(321\) | 21.4276 | − | 17.1822i | 1.19597 | − | 0.959014i | ||||
\(322\) | 2.36559 | + | 34.3095i | 0.131829 | + | 1.91199i | ||||
\(323\) | −0.128294 | + | 2.92674i | −0.00713848 | + | 0.162848i | ||||
\(324\) | −1.29870 | + | 2.40926i | −0.0721502 | + | 0.133848i | ||||
\(325\) | −27.5650 | + | 37.6420i | −1.52903 | + | 2.08800i | ||||
\(326\) | 0.0579860 | + | 0.175468i | 0.00321155 | + | 0.00971830i | ||||
\(327\) | −25.5250 | − | 2.56440i | −1.41153 | − | 0.141812i | ||||
\(328\) | −3.23392 | − | 11.1782i | −0.178564 | − | 0.617214i | ||||
\(329\) | −16.2026 | + | 53.4882i | −0.893279 | + | 2.94890i | ||||
\(330\) | −0.905209 | − | 1.90138i | −0.0498301 | − | 0.104668i | ||||
\(331\) | −0.888592 | − | 0.363190i | −0.0488414 | − | 0.0199627i | 0.353790 | − | 0.935325i | \(-0.384893\pi\) |
−0.402632 | + | 0.915362i | \(0.631905\pi\) | |||||||
\(332\) | 3.84916 | − | 1.08753i | 0.211250 | − | 0.0596858i | ||||
\(333\) | 13.9027 | − | 8.06542i | 0.761862 | − | 0.441983i | ||||
\(334\) | −4.29700 | + | 3.27235i | −0.235121 | + | 0.179055i | ||||
\(335\) | −39.5475 | − | 34.2287i | −2.16071 | − | 1.87011i | ||||
\(336\) | −1.73029 | + | 55.2791i | −0.0943951 | + | 3.01572i | ||||
\(337\) | −11.6411 | + | 27.0216i | −0.634133 | + | 1.47196i | 0.232287 | + | 0.972647i | \(0.425379\pi\) |
−0.866421 | + | 0.499315i | \(0.833585\pi\) | |||||||
\(338\) | −0.617100 | − | 0.149583i | −0.0335658 | − | 0.00813625i | ||||
\(339\) | −3.96404 | − | 1.67841i | −0.215297 | − | 0.0911585i | ||||
\(340\) | −0.906865 | − | 0.344428i | −0.0491817 | − | 0.0186792i | ||||
\(341\) | 0.179517 | + | 0.431482i | 0.00972140 | + | 0.0233661i | ||||
\(342\) | 31.2693 | + | 22.0086i | 1.69085 | + | 1.19009i | ||||
\(343\) | −21.5556 | + | 13.9920i | −1.16389 | + | 0.755496i | ||||
\(344\) | 1.35108 | + | 4.46018i | 0.0728452 | + | 0.240477i | ||||
\(345\) | 40.0409 | − | 36.4481i | 2.15573 | − | 1.96230i | ||||
\(346\) | −16.0265 | + | 33.6635i | −0.861591 | + | 1.80976i | ||||
\(347\) | −18.8170 | − | 17.1286i | −1.01015 | − | 0.919511i | −0.0133860 | − | 0.999910i | \(-0.504261\pi\) |
−0.996763 | + | 0.0803990i | \(0.974381\pi\) | |||||||
\(348\) | 2.97903 | − | 1.21760i | 0.159693 | − | 0.0652704i | ||||
\(349\) | 13.2329 | − | 10.3417i | 0.708342 | − | 0.553576i | −0.195886 | − | 0.980627i | \(-0.562758\pi\) |
0.904228 | + | 0.427051i | \(0.140447\pi\) | |||||||
\(350\) | 51.0245 | − | 73.4670i | 2.72738 | − | 3.92698i | ||||
\(351\) | 6.60525 | + | 5.29655i | 0.352562 | + | 0.282709i | ||||
\(352\) | −0.180387 | − | 0.274127i | −0.00961467 | − | 0.0146110i | ||||
\(353\) | 10.6684 | − | 4.99735i | 0.567822 | − | 0.265982i | −0.118896 | − | 0.992907i | \(-0.537935\pi\) |
0.686717 | + | 0.726925i | \(0.259051\pi\) | |||||||
\(354\) | 4.05721 | − | 6.33690i | 0.215638 | − | 0.336803i | ||||
\(355\) | 54.1740 | − | 27.0501i | 2.87526 | − | 1.43567i | ||||
\(356\) | −4.85483 | + | 0.243262i | −0.257306 | + | 0.0128928i | ||||
\(357\) | 0.444966 | − | 5.45730i | 0.0235501 | − | 0.288831i | ||||
\(358\) | 7.21283 | − | 1.37031i | 0.381210 | − | 0.0724230i | ||||
\(359\) | −17.0416 | + | 27.3654i | −0.899423 | + | 1.44429i | −0.00354310 | + | 0.999994i | \(0.501128\pi\) |
−0.895880 | + | 0.444296i | \(0.853454\pi\) | |||||||
\(360\) | 31.2784 | − | 23.2071i | 1.64852 | − | 1.22312i | ||||
\(361\) | −13.3454 | + | 14.8465i | −0.702391 | + | 0.781394i | ||||
\(362\) | −30.3649 | + | 28.3433i | −1.59594 | + | 1.48969i | ||||
\(363\) | 6.61335 | − | 28.0487i | 0.347111 | − | 1.47218i | ||||
\(364\) | 7.80871 | + | 1.68705i | 0.409287 | + | 0.0884256i | ||||
\(365\) | 10.8901 | − | 22.1556i | 0.570012 | − | 1.15968i | ||||
\(366\) | 14.3568 | + | 37.0997i | 0.750441 | + | 1.93923i | ||||
\(367\) | −2.68944 | + | 0.0336636i | −0.140387 | + | 0.00175722i | −0.0826788 | − | 0.996576i | \(-0.526348\pi\) |
−0.0577086 | + | 0.998333i | \(0.518379\pi\) | |||||||
\(368\) | 14.8691 | − | 17.8459i | 0.775103 | − | 0.930281i | ||||
\(369\) | 17.8901 | + | 6.28694i | 0.931319 | + | 0.327285i | ||||
\(370\) | −27.4220 | + | 2.40872i | −1.42560 | + | 0.125224i | ||||
\(371\) | −22.4946 | − | 20.9971i | −1.16786 | − | 1.09011i | ||||
\(372\) | 4.14428 | − | 2.76443i | 0.214871 | − | 0.143329i | ||||
\(373\) | −3.23792 | + | 12.3412i | −0.167653 | + | 0.639001i | 0.829144 | + | 0.559034i | \(0.188828\pi\) |
−0.996798 | + | 0.0799667i | \(0.974519\pi\) | |||||||
\(374\) | 0.0453648 | + | 0.0770815i | 0.00234576 | + | 0.00398579i | ||||
\(375\) | −85.4086 | + | 5.35199i | −4.41048 | + | 0.276375i | ||||
\(376\) | 26.0783 | − | 14.6958i | 1.34489 | − | 0.757879i | ||||
\(377\) | 1.87688 | + | 8.95858i | 0.0966641 | + | 0.461390i | ||||
\(378\) | −12.9137 | − | 9.83435i | −0.664210 | − | 0.505824i | ||||
\(379\) | −8.72967 | − | 1.09837i | −0.448413 | − | 0.0564196i | −0.102599 | − | 0.994723i | \(-0.532716\pi\) |
−0.345814 | + | 0.938303i | \(0.612397\pi\) | |||||||
\(380\) | −6.40427 | − | 11.2002i | −0.328532 | − | 0.574557i | ||||
\(381\) | 2.37519 | − | 6.62595i | 0.121685 | − | 0.339457i | ||||
\(382\) | −24.2448 | + | 17.5223i | −1.24047 | + | 0.896518i | ||||
\(383\) | 25.4399 | + | 1.91408i | 1.29992 | + | 0.0978050i | 0.706859 | − | 0.707354i | \(-0.250111\pi\) |
0.593059 | + | 0.805159i | \(0.297920\pi\) | |||||||
\(384\) | 25.5184 | − | 25.0437i | 1.30223 | − | 1.27801i | ||||
\(385\) | −2.16907 | + | 0.642261i | −0.110546 | + | 0.0327326i | ||||
\(386\) | −1.73438 | − | 9.45137i | −0.0882776 | − | 0.481062i | ||||
\(387\) | −7.19570 | − | 2.42797i | −0.365778 | − | 0.123421i | ||||
\(388\) | 1.41273 | − | 0.0353716i | 0.0717203 | − | 0.00179572i | ||||
\(389\) | 5.87194 | + | 23.5790i | 0.297719 | + | 1.19550i | 0.913253 | + | 0.407392i | \(0.133562\pi\) |
−0.615534 | + | 0.788110i | \(0.711060\pi\) | |||||||
\(390\) | −28.1630 | − | 57.2971i | −1.42609 | − | 2.90135i | ||||
\(391\) | −1.55864 | + | 1.69089i | −0.0788236 | + | 0.0855121i | ||||
\(392\) | 29.9034 | + | 5.68110i | 1.51035 | + | 0.286939i | ||||
\(393\) | −13.3665 | + | 48.4664i | −0.674253 | + | 2.44480i | ||||
\(394\) | −1.61560 | − | 1.70926i | −0.0813927 | − | 0.0861111i | ||||
\(395\) | −30.5473 | + | 11.6019i | −1.53700 | + | 0.583754i | ||||
\(396\) | 0.229827 | + | 0.00863381i | 0.0115492 | + | 0.000433865i | ||||
\(397\) | 0.250077 | − | 0.0672874i | 0.0125510 | − | 0.00337706i | −0.253545 | − | 0.967323i | \(-0.581597\pi\) |
0.266096 | + | 0.963946i | \(0.414266\pi\) | |||||||
\(398\) | −19.7308 | + | 16.2314i | −0.989013 | + | 0.813606i | ||||
\(399\) | 50.6815 | − | 52.2927i | 2.53725 | − | 2.61791i | ||||
\(400\) | −59.2079 | + | 12.0181i | −2.96039 | + | 0.600905i | ||||
\(401\) | −4.71365 | − | 3.49731i | −0.235388 | − | 0.174647i | 0.471729 | − | 0.881744i | \(-0.343630\pi\) |
−0.707117 | + | 0.707096i | \(0.750005\pi\) | |||||||
\(402\) | 47.8232 | − | 18.8515i | 2.38520 | − | 0.940227i | ||||
\(403\) | 5.60581 | + | 13.0123i | 0.279245 | + | 0.648189i | ||||
\(404\) | 0.208615 | + | 1.22286i | 0.0103790 | + | 0.0608394i | ||||
\(405\) | −0.441110 | − | 23.4925i | −0.0219189 | − | 1.16735i | ||||
\(406\) | −4.02710 | − | 17.0799i | −0.199862 | − | 0.847659i | ||||
\(407\) | 0.415960 | + | 0.277465i | 0.0206184 | + | 0.0137534i | ||||
\(408\) | −2.19325 | + | 1.94682i | −0.108582 | + | 0.0963820i | ||||
\(409\) | 3.39012 | + | 3.86773i | 0.167631 | + | 0.191247i | 0.829723 | − | 0.558176i | \(-0.188499\pi\) |
−0.662092 | + | 0.749423i | \(0.730331\pi\) | |||||||
\(410\) | −23.1792 | − | 22.7480i | −1.14474 | − | 1.12345i | ||||
\(411\) | 14.1089 | + | 7.49175i | 0.695938 | + | 0.369541i | ||||
\(412\) | −0.0244457 | + | 3.90616i | −0.00120435 | + | 0.192443i | ||||
\(413\) | −6.04498 | − | 5.36578i | −0.297454 | − | 0.264033i | ||||
\(414\) | 7.61751 | + | 29.0338i | 0.374380 | + | 1.42693i | ||||
\(415\) | −24.2044 | + | 24.3564i | −1.18815 | + | 1.19561i | ||||
\(416\) | −5.57247 | − | 8.24174i | −0.273213 | − | 0.404084i | ||||
\(417\) | 36.6244 | − | 20.0390i | 1.79350 | − | 0.981315i | ||||
\(418\) | −0.185351 | + | 1.17502i | −0.00906582 | + | 0.0574721i | ||||
\(419\) | 15.6367 | − | 2.76839i | 0.763904 | − | 0.135245i | 0.221269 | − | 0.975213i | \(-0.428980\pi\) |
0.542636 | + | 0.839968i | \(0.317426\pi\) | |||||||
\(420\) | 11.1755 | + | 21.3680i | 0.545307 | + | 1.04265i | ||||
\(421\) | −0.498853 | + | 0.264889i | −0.0243126 | + | 0.0129099i | −0.481092 | − | 0.876670i | \(-0.659760\pi\) |
0.456780 | + | 0.889580i | \(0.349003\pi\) | |||||||
\(422\) | 29.0669 | + | 8.60671i | 1.41495 | + | 0.418968i | ||||
\(423\) | −5.17978 | + | 48.5036i | −0.251850 | + | 2.35832i | ||||
\(424\) | 0.927794 | + | 16.4552i | 0.0450577 | + | 0.799135i | ||||
\(425\) | 5.91388 | − | 0.894979i | 0.286865 | − | 0.0434129i | ||||
\(426\) | −1.11724 | + | 59.5013i | −0.0541302 | + | 2.88285i | ||||
\(427\) | 41.7695 | − | 9.02419i | 2.02137 | − | 0.436711i | ||||
\(428\) | 1.24147 | − | 4.98517i | 0.0600087 | − | 0.240967i | ||||
\(429\) | −0.251981 | + | 1.13196i | −0.0121658 | + | 0.0546514i | ||||
\(430\) | 9.39628 | + | 8.99342i | 0.453129 | + | 0.433701i | ||||
\(431\) | 1.32000 | + | 3.83270i | 0.0635823 | + | 0.184615i | 0.972770 | − | 0.231771i | \(-0.0744520\pi\) |
−0.909188 | + | 0.416386i | \(0.863297\pi\) | |||||||
\(432\) | 1.70829 | + | 10.8296i | 0.0821903 | + | 0.521040i | ||||
\(433\) | −15.2589 | − | 19.7788i | −0.733297 | − | 0.950509i | 0.266615 | − | 0.963803i | \(-0.414095\pi\) |
−0.999912 | + | 0.0132943i | \(0.995768\pi\) | |||||||
\(434\) | −11.3685 | − | 24.6702i | −0.545703 | − | 1.18421i | ||||
\(435\) | −17.1485 | + | 21.6619i | −0.822205 | + | 1.03861i | ||||
\(436\) | −4.08899 | + | 2.51102i | −0.195827 | + | 0.120256i | ||||
\(437\) | −30.2960 | + | 4.19769i | −1.44926 | + | 0.200803i | ||||
\(438\) | 14.3352 | + | 19.5757i | 0.684963 | + | 0.935364i | ||||
\(439\) | 1.53064 | − | 2.14603i | 0.0730534 | − | 0.102425i | −0.775997 | − | 0.630737i | \(-0.782753\pi\) |
0.849050 | + | 0.528312i | \(0.177175\pi\) | |||||||
\(440\) | 1.07714 | + | 0.554788i | 0.0513507 | + | 0.0264485i | ||||
\(441\) | −35.8329 | + | 34.2966i | −1.70633 | + | 1.63317i | ||||
\(442\) | 1.40449 | + | 2.31952i | 0.0668046 | + | 0.110328i | ||||
\(443\) | 16.6213 | − | 17.5848i | 0.789701 | − | 0.835481i | −0.199826 | − | 0.979831i | \(-0.564038\pi\) |
0.989527 | + | 0.144350i | \(0.0461093\pi\) | |||||||
\(444\) | 2.04739 | − | 4.92105i | 0.0971649 | − | 0.233543i | ||||
\(445\) | 35.2841 | − | 22.2806i | 1.67263 | − | 1.05620i | ||||
\(446\) | 28.7297 | + | 13.4577i | 1.36039 | + | 0.637243i | ||||
\(447\) | 1.77912 | + | 12.2749i | 0.0841497 | + | 0.580583i | ||||
\(448\) | −13.4089 | − | 18.8000i | −0.633511 | − | 0.888215i | ||||
\(449\) | 5.26913 | − | 15.9446i | 0.248666 | − | 0.752474i | −0.747442 | − | 0.664327i | \(-0.768718\pi\) |
0.996107 | − | 0.0881471i | \(-0.0280945\pi\) | |||||||
\(450\) | 31.7837 | − | 71.3072i | 1.49830 | − | 3.36145i | ||||
\(451\) | 0.0699777 | + | 0.585742i | 0.00329512 | + | 0.0275815i | ||||
\(452\) | −0.780095 | + | 0.199462i | −0.0366926 | + | 0.00938190i | ||||
\(453\) | −46.4727 | − | 13.1302i | −2.18348 | − | 0.616910i | ||||
\(454\) | −2.32672 | − | 1.81836i | −0.109199 | − | 0.0853397i | ||||
\(455\) | −65.5118 | + | 20.2933i | −3.07124 | + | 0.951362i | ||||
\(456\) | −38.9767 | + | 1.46422i | −1.82525 | + | 0.0685684i | ||||
\(457\) | −4.52646 | + | 1.91654i | −0.211739 | + | 0.0896521i | −0.493183 | − | 0.869926i | \(-0.664167\pi\) |
0.281444 | + | 0.959578i | \(0.409187\pi\) | |||||||
\(458\) | 26.1211 | − | 4.28813i | 1.22056 | − | 0.200371i | ||||
\(459\) | −0.115257 | − | 1.07927i | −0.00537975 | − | 0.0503760i | ||||
\(460\) | 1.82799 | − | 9.96150i | 0.0852305 | − | 0.464457i | ||||
\(461\) | 10.1673 | − | 18.3092i | 0.473537 | − | 0.852745i | −0.526460 | − | 0.850200i | \(-0.676481\pi\) |
0.999997 | − | 0.00254454i | \(-0.000809954\pi\) | |||||||
\(462\) | 0.428625 | − | 2.18159i | 0.0199414 | − | 0.101497i | ||||
\(463\) | 18.5491 | + | 18.6656i | 0.862051 | + | 0.867462i | 0.992280 | − | 0.124022i | \(-0.0395792\pi\) |
−0.130229 | + | 0.991484i | \(0.541571\pi\) | |||||||
\(464\) | −6.01169 | + | 10.2147i | −0.279086 | + | 0.474208i | ||||
\(465\) | −19.3441 | + | 38.1418i | −0.897061 | + | 1.76878i | ||||
\(466\) | −21.0788 | − | 26.6267i | −0.976455 | − | 1.23346i | ||||
\(467\) | −12.6764 | − | 4.63380i | −0.586593 | − | 0.214427i | 0.0328604 | − | 0.999460i | \(-0.489538\pi\) |
−0.619454 | + | 0.785033i | \(0.712646\pi\) | |||||||
\(468\) | 6.97050 | + | 0.174526i | 0.322211 | + | 0.00806748i | ||||
\(469\) | −11.9986 | − | 53.9004i | −0.554044 | − | 2.48889i | ||||
\(470\) | 43.2718 | − | 71.4638i | 1.99598 | − | 3.29638i | ||||
\(471\) | 4.46577 | + | 16.1927i | 0.205772 | + | 0.746118i | ||||
\(472\) | 0.351821 | + | 4.31491i | 0.0161939 | + | 0.198610i | ||||
\(473\) | −0.0309591 | − | 0.234214i | −0.00142350 | − | 0.0107692i | ||||
\(474\) | 3.80964 | − | 31.8882i | 0.174982 | − | 1.46468i | ||||
\(475\) | 68.3041 | + | 40.7767i | 3.13401 | + | 1.87096i | ||||
\(476\) | −0.552235 | − | 0.862528i | −0.0253117 | − | 0.0395339i | ||||
\(477\) | −22.7088 | − | 14.3398i | −1.03976 | − | 0.656573i | ||||
\(478\) | 4.09597 | − | 2.88291i | 0.187345 | − | 0.131861i | ||||
\(479\) | 10.8123 | − | 26.9337i | 0.494025 | − | 1.23063i | −0.447681 | − | 0.894193i | \(-0.647750\pi\) |
0.941706 | − | 0.336438i | \(-0.109222\pi\) | |||||||
\(480\) | 8.34559 | − | 28.8470i | 0.380922 | − | 1.31668i | ||||
\(481\) | 12.7151 | + | 8.25354i | 0.579761 | + | 0.376329i | ||||
\(482\) | 15.9445 | + | 39.7184i | 0.726254 | + | 1.80912i | ||||
\(483\) | 56.8787 | − | 5.71440i | 2.58807 | − | 0.260014i | ||||
\(484\) | −2.19450 | − | 4.92340i | −0.0997499 | − | 0.223791i | ||||
\(485\) | −10.4167 | + | 6.21865i | −0.472999 | + | 0.282374i | ||||
\(486\) | 30.4569 | + | 15.2077i | 1.38155 | + | 0.689836i | ||||
\(487\) | −21.1965 | − | 9.28934i | −0.960507 | − | 0.420940i | −0.138465 | − | 0.990367i | \(-0.544217\pi\) |
−0.822042 | + | 0.569427i | \(0.807165\pi\) | |||||||
\(488\) | −19.5040 | − | 11.9773i | −0.882906 | − | 0.542186i | ||||
\(489\) | 0.288507 | − | 0.105463i | 0.0130467 | − | 0.00476918i | ||||
\(490\) | 80.4921 | − | 27.1596i | 3.63626 | − | 1.22695i | ||||
\(491\) | 16.8286 | + | 30.3049i | 0.759464 | + | 1.36764i | 0.924434 | + | 0.381343i | \(0.124538\pi\) |
−0.164970 | + | 0.986299i | \(0.552753\pi\) | |||||||
\(492\) | 5.98291 | − | 1.93569i | 0.269730 | − | 0.0872677i | ||||
\(493\) | 0.645031 | − | 0.980226i | 0.0290507 | − | 0.0441472i | ||||
\(494\) | −5.17307 | + | 35.6912i | −0.232747 | + | 1.60582i | ||||
\(495\) | −1.75527 | + | 0.904061i | −0.0788934 | + | 0.0406345i | ||||
\(496\) | −5.97440 | + | 17.3470i | −0.268259 | + | 0.778904i | ||||
\(497\) | 62.9497 | + | 11.1449i | 2.82368 | + | 0.499916i | ||||
\(498\) | −10.1874 | − | 32.1737i | −0.456507 | − | 1.44174i | ||||
\(499\) | 2.22036 | − | 10.5981i | 0.0993968 | − | 0.474434i | −0.899870 | − | 0.436157i | \(-0.856339\pi\) |
0.999267 | − | 0.0382767i | \(-0.0121868\pi\) | |||||||
\(500\) | −12.1031 | + | 10.4754i | −0.541269 | + | 0.468473i | ||||
\(501\) | 5.66012 | + | 6.96884i | 0.252876 | + | 0.311345i | ||||
\(502\) | −1.94912 | −0.0869934 | ||||||||
\(503\) | −11.8158 | − | 19.0627i | −0.526843 | − | 0.849963i | ||||
\(504\) | 41.1195 | 1.83161 | ||||||||
\(505\) | −6.71412 | − | 8.26653i | −0.298774 | − | 0.367856i | ||||
\(506\) | −0.706053 | + | 0.611095i | −0.0313879 | + | 0.0271665i | ||||
\(507\) | −0.216425 | + | 1.03303i | −0.00961179 | + | 0.0458783i | ||||
\(508\) | −0.397436 | − | 1.25518i | −0.0176334 | − | 0.0556895i | ||||
\(509\) | 19.8756 | + | 3.51886i | 0.880971 | + | 0.155971i | 0.596403 | − | 0.802685i | \(-0.296596\pi\) |
0.284568 | + | 0.958656i | \(0.408150\pi\) | |||||||
\(510\) | −2.66525 | + | 7.73870i | −0.118019 | + | 0.342675i | ||||
\(511\) | 23.1712 | − | 11.9345i | 1.02503 | − | 0.527949i | ||||
\(512\) | −1.39155 | + | 9.60090i | −0.0614985 | + | 0.424304i | ||||
\(513\) | 7.93543 | − | 12.0591i | 0.350358 | − | 0.532424i | ||||
\(514\) | −7.75798 | + | 2.50999i | −0.342190 | + | 0.110711i | ||||
\(515\) | −16.2802 | − | 29.3173i | −0.717389 | − | 1.29187i | ||||
\(516\) | −2.38619 | + | 0.805149i | −0.105046 | + | 0.0354447i | ||||
\(517\) | −1.42524 | + | 0.520991i | −0.0626820 | + | 0.0229131i | ||||
\(518\) | −24.7658 | − | 15.2085i | −1.08815 | − | 0.668223i | ||||
\(519\) | 56.7618 | + | 24.8758i | 2.49157 | + | 1.09192i | ||||
\(520\) | 32.8641 | + | 16.4097i | 1.44119 | + | 0.719614i | ||||
\(521\) | 25.4228 | − | 15.1771i | 1.11379 | − | 0.664919i | 0.166740 | − | 0.986001i | \(-0.446676\pi\) |
0.947052 | + | 0.321082i | \(0.104046\pi\) | |||||||
\(522\) | −6.23544 | − | 13.9893i | −0.272918 | − | 0.612295i | ||||
\(523\) | −29.7779 | + | 2.99168i | −1.30210 | + | 0.130817i | −0.726641 | − | 0.687017i | \(-0.758920\pi\) |
−0.575454 | + | 0.817834i | \(0.695175\pi\) | |||||||
\(524\) | 3.50339 | + | 8.72705i | 0.153046 | + | 0.381243i | ||||
\(525\) | −124.711 | − | 80.9514i | −5.44284 | − | 3.53301i | ||||
\(526\) | 3.74331 | − | 12.9389i | 0.163216 | − | 0.564164i | ||||
\(527\) | 0.676681 | − | 1.68563i | 0.0294767 | − | 0.0734273i | ||||
\(528\) | −1.22800 | + | 0.864314i | −0.0534417 | + | 0.0376145i | ||||
\(529\) | −0.853332 | − | 0.538848i | −0.0371014 | − | 0.0234282i | ||||
\(530\) | 24.8024 | + | 38.7385i | 1.07735 | + | 1.68269i | ||||
\(531\) | −6.05744 | − | 3.61621i | −0.262870 | − | 0.156930i | ||||
\(532\) | 1.61583 | − | 13.5252i | 0.0700553 | − | 0.586392i | ||||
\(533\) | 2.34364 | + | 17.7303i | 0.101514 | + | 0.767984i | ||||
\(534\) | 3.33299 | + | 40.8776i | 0.144233 | + | 1.76895i | ||||
\(535\) | 11.7256 | + | 42.5165i | 0.506943 | + | 1.83815i | ||||
\(536\) | −15.3190 | + | 25.2995i | −0.661681 | + | 1.09277i | ||||
\(537\) | −2.65171 | − | 11.9121i | −0.114430 | − | 0.514045i | ||||
\(538\) | 13.1704 | + | 0.329757i | 0.567814 | + | 0.0142168i | ||||
\(539\) | −1.44925 | − | 0.529766i | −0.0624234 | − | 0.0228186i | ||||
\(540\) | 2.96701 | + | 3.74793i | 0.127680 | + | 0.161285i | ||||
\(541\) | 2.04154 | − | 4.02541i | 0.0877725 | − | 0.173066i | −0.843763 | − | 0.536716i | \(-0.819665\pi\) |
0.931536 | + | 0.363650i | \(0.118470\pi\) | |||||||
\(542\) | −10.5541 | + | 17.9331i | −0.453340 | + | 0.770291i | ||||
\(543\) | 48.6686 | + | 48.9741i | 2.08857 | + | 2.10168i | ||||
\(544\) | −0.245887 | + | 1.25150i | −0.0105423 | + | 0.0536577i | ||||
\(545\) | 19.9986 | − | 36.0135i | 0.856647 | − | 1.54265i | ||||
\(546\) | 12.1660 | − | 66.2977i | 0.520657 | − | 2.83728i | ||||
\(547\) | 3.15374 | + | 29.5317i | 0.134844 | + | 1.26268i | 0.835623 | + | 0.549304i | \(0.185107\pi\) |
−0.700778 | + | 0.713379i | \(0.747164\pi\) | |||||||
\(548\) | 2.94855 | − | 0.484043i | 0.125956 | − | 0.0206773i | ||||
\(549\) | 34.3457 | − | 14.5422i | 1.46584 | − | 0.620648i | ||||
\(550\) | 2.42697 | − | 0.0911729i | 0.103486 | − | 0.00388763i | ||||
\(551\) | 14.9076 | − | 4.61784i | 0.635083 | − | 0.196727i | ||||
\(552\) | −24.1245 | − | 18.8536i | −1.02681 | − | 0.802461i | ||||
\(553\) | −33.1989 | − | 9.37988i | −1.41176 | − | 0.398873i | ||||
\(554\) | −22.7372 | + | 5.81367i | −0.966013 | + | 0.246999i | ||||
\(555\) | 5.42788 | + | 45.4336i | 0.230401 | + | 1.92855i | ||||
\(556\) | 3.17915 | − | 7.13248i | 0.134826 | − | 0.302484i | ||||
\(557\) | −9.33598 | + | 28.2511i | −0.395578 | + | 1.19704i | 0.539313 | + | 0.842105i | \(0.318684\pi\) |
−0.934891 | + | 0.354934i | \(0.884503\pi\) | |||||||
\(558\) | −13.7669 | − | 19.3018i | −0.582798 | − | 0.817112i | ||||
\(559\) | −1.02740 | − | 7.08846i | −0.0434544 | − | 0.299810i | ||||
\(560\) | −80.4231 | − | 37.6722i | −3.39850 | − | 1.59194i | ||||
\(561\) | 0.125704 | − | 0.0793773i | 0.00530722 | − | 0.00335131i | ||||
\(562\) | 10.4667 | − | 25.1573i | 0.441509 | − | 1.06120i | ||||
\(563\) | −4.05542 | + | 4.29051i | −0.170915 | + | 0.180824i | −0.806549 | − | 0.591167i | \(-0.798667\pi\) |
0.635633 | + | 0.771991i | \(0.280739\pi\) | |||||||
\(564\) | 8.37840 | + | 13.8370i | 0.352794 | + | 0.582642i | ||||
\(565\) | 4.99369 | − | 4.77958i | 0.210086 | − | 0.201079i | ||||
\(566\) | −40.9598 | − | 21.0966i | −1.72167 | − | 0.886757i | ||||
\(567\) | 14.4048 | − | 20.1962i | 0.604943 | − | 0.848161i | ||||
\(568\) | −20.2299 | − | 27.6253i | −0.848827 | − | 1.15913i | ||||
\(569\) | 28.7707 | − | 3.98636i | 1.20613 | − | 0.167117i | 0.494190 | − | 0.869354i | \(-0.335465\pi\) |
0.711943 | + | 0.702237i | \(0.247815\pi\) | |||||||
\(570\) | −92.7628 | + | 56.9650i | −3.88541 | + | 2.38600i | ||||
\(571\) | 20.9895 | − | 26.5140i | 0.878385 | − | 1.10958i | −0.114841 | − | 0.993384i | \(-0.536636\pi\) |
0.993227 | − | 0.116193i | \(-0.0370692\pi\) | |||||||
\(572\) | 0.0907821 | + | 0.197003i | 0.00379579 | + | 0.00823709i | ||||
\(573\) | 30.3723 | + | 39.3689i | 1.26882 | + | 1.64466i | ||||
\(574\) | −5.34263 | − | 33.8692i | −0.222997 | − | 1.41367i | ||||
\(575\) | 20.3345 | + | 59.0422i | 0.848006 | + | 2.46223i | ||||
\(576\) | −14.5602 | − | 13.9359i | −0.606675 | − | 0.580664i | ||||
\(577\) | −3.77462 | + | 16.9564i | −0.157139 | + | 0.705905i | 0.831491 | + | 0.555538i | \(0.187488\pi\) |
−0.988630 | + | 0.150367i | \(0.951954\pi\) | |||||||
\(578\) | −6.39933 | + | 25.6968i | −0.266177 | + | 1.06884i | ||||
\(579\) | −15.6123 | + | 3.37299i | −0.648824 | + | 0.140177i | ||||
\(580\) | −0.0970166 | + | 5.16687i | −0.00402840 | + | 0.214543i | ||||
\(581\) | −35.8446 | + | 5.42456i | −1.48708 | + | 0.225048i | ||||
\(582\) | −0.671209 | − | 11.9045i | −0.0278225 | − | 0.493456i | ||||
\(583\) | 0.0887207 | − | 0.830782i | 0.00367444 | − | 0.0344075i | ||||
\(584\) | −13.3856 | − | 3.96346i | −0.553898 | − | 0.164009i | ||||
\(585\) | −52.8680 | + | 28.0727i | −2.18582 | + | 1.16066i | ||||
\(586\) | 2.72100 | + | 5.20267i | 0.112403 | + | 0.214920i | ||||
\(587\) | 9.16138 | − | 1.62197i | 0.378131 | − | 0.0669458i | 0.0179760 | − | 0.999838i | \(-0.494278\pi\) |
0.360155 | + | 0.932893i | \(0.382724\pi\) | |||||||
\(588\) | −2.56292 | + | 16.2475i | −0.105693 | + | 0.670034i | ||||
\(589\) | 21.1929 | − | 11.5957i | 0.873240 | − | 0.477793i | ||||
\(590\) | 6.76762 | + | 10.0094i | 0.278618 | + | 0.412079i | ||||
\(591\) | −2.75574 | + | 2.77304i | −0.113356 | + | 0.114067i | ||||
\(592\) | 4.98159 | + | 18.9871i | 0.204742 | + | 0.780364i | ||||
\(593\) | 5.95803 | + | 5.28860i | 0.244667 | + | 0.217177i | 0.777235 | − | 0.629210i | \(-0.216622\pi\) |
−0.532568 | + | 0.846387i | \(0.678773\pi\) | |||||||
\(594\) | 0.00275814 | − | 0.440722i | 0.000113168 | − | 0.0180830i | ||||
\(595\) | 7.76540 | + | 4.12340i | 0.318351 | + | 0.169043i | ||||
\(596\) | 1.65581 | + | 1.62501i | 0.0678246 | + | 0.0665631i | ||||
\(597\) | 27.9928 | + | 31.9365i | 1.14567 | + | 1.30707i | ||||
\(598\) | −21.1722 | + | 18.7933i | −0.865795 | + | 0.768516i | ||||
\(599\) | −36.9992 | − | 24.6803i | −1.51175 | − | 1.00841i | −0.987637 | − | 0.156758i | \(-0.949896\pi\) |
−0.524111 | − | 0.851650i | \(-0.675602\pi\) | |||||||
\(600\) | 18.2751 | + | 77.5088i | 0.746077 | + | 3.16428i | ||||
\(601\) | −0.474103 | − | 25.2496i | −0.0193391 | − | 1.02995i | −0.866669 | − | 0.498884i | \(-0.833743\pi\) |
0.847330 | − | 0.531067i | \(-0.178209\pi\) | |||||||
\(602\) | 2.30926 | + | 13.5364i | 0.0941184 | + | 0.551701i | ||||
\(603\) | −19.0689 | − | 44.2630i | −0.776544 | − | 1.80253i | ||||
\(604\) | −8.40359 | + | 3.31262i | −0.341937 | + | 0.134789i | ||||
\(605\) | 37.1629 | + | 27.5732i | 1.51089 | + | 1.12101i | ||||
\(606\) | 10.2575 | − | 2.08209i | 0.416684 | − | 0.0845792i | ||||
\(607\) | −15.7078 | + | 16.2071i | −0.637558 | + | 0.657826i | −0.957104 | − | 0.289744i | \(-0.906430\pi\) |
0.319546 | + | 0.947571i | \(0.396470\pi\) | |||||||
\(608\) | −13.1001 | + | 10.7767i | −0.531277 | + | 0.437052i | ||||
\(609\) | −28.1670 | + | 7.57881i | −1.14138 | + | 0.307109i | ||||
\(610\) | −63.8337 | − | 2.39801i | −2.58455 | − | 0.0970928i | ||||
\(611\) | −43.0086 | + | 16.3347i | −1.73994 | + | 0.660831i | ||||
\(612\) | −0.614029 | − | 0.649625i | −0.0248206 | − | 0.0262595i | ||||
\(613\) | 1.79047 | − | 6.49214i | 0.0723163 | − | 0.262215i | −0.918895 | − | 0.394502i | \(-0.870917\pi\) |
0.991211 | + | 0.132287i | \(0.0422320\pi\) | |||||||
\(614\) | 5.32862 | + | 1.01234i | 0.215045 | + | 0.0408548i | ||||
\(615\) | −36.5881 | + | 39.6928i | −1.47537 | + | 1.60057i | ||||
\(616\) | 0.564274 | + | 1.14800i | 0.0227352 | + | 0.0462544i | ||||
\(617\) | 1.25065 | + | 5.02202i | 0.0503491 | + | 0.202179i | 0.990258 | − | 0.139248i | \(-0.0444684\pi\) |
−0.939908 | + | 0.341427i | \(0.889090\pi\) | |||||||
\(618\) | 32.9479 | − | 0.824944i | 1.32536 | − | 0.0331841i | ||||
\(619\) | −1.87082 | − | 0.631251i | −0.0751945 | − | 0.0253721i | 0.281861 | − | 0.959455i | \(-0.409048\pi\) |
−0.357056 | + | 0.934083i | \(0.616219\pi\) | |||||||
\(620\) | 1.44383 | + | 7.86806i | 0.0579857 | + | 0.315989i | ||||
\(621\) | 10.8657 | − | 3.21732i | 0.436024 | − | 0.129107i | ||||
\(622\) | −8.89981 | + | 8.73427i | −0.356850 | + | 0.350212i | ||||
\(623\) | 43.9330 | + | 3.30549i | 1.76014 | + | 0.132432i | ||||
\(624\) | −36.8989 | + | 26.6677i | −1.47714 | + | 1.06756i | ||||
\(625\) | 24.8676 | − | 69.3720i | 0.994705 | − | 2.77488i | ||||
\(626\) | 5.25307 | + | 9.18689i | 0.209955 | + | 0.367182i | ||||
\(627\) | 1.96181 | + | 0.246837i | 0.0783472 | + | 0.00985770i | ||||
\(628\) | 2.49959 | + | 1.90355i | 0.0997446 | + | 0.0759598i | ||||
\(629\) | −0.398497 | − | 1.90208i | −0.0158891 | − | 0.0758409i | ||||
\(630\) | 99.9792 | − | 56.3409i | 3.98327 | − | 2.24467i | ||||
\(631\) | 26.9541 | − | 1.68903i | 1.07303 | − | 0.0672394i | 0.483777 | − | 0.875191i | \(-0.339265\pi\) |
0.589248 | + | 0.807952i | \(0.299424\pi\) | |||||||
\(632\) | 9.37198 | + | 15.9244i | 0.372797 | + | 0.633438i | ||||
\(633\) | 12.7876 | − | 48.7392i | 0.508261 | − | 1.93721i | ||||
\(634\) | −24.5899 | + | 16.4027i | −0.976591 | + | 0.651433i | ||||
\(635\) | 8.26252 | + | 7.71245i | 0.327888 | + | 0.306059i | ||||
\(636\) | −8.87210 | + | 0.779317i | −0.351802 | + | 0.0309019i | ||||
\(637\) | −44.1350 | − | 15.5100i | −1.74869 | − | 0.614528i | ||||
\(638\) | 0.304996 | − | 0.366058i | 0.0120749 | − | 0.0144924i | ||||
\(639\) | 55.7925 | − | 0.698353i | 2.20712 | − | 0.0276264i | ||||
\(640\) | 20.7204 | + | 53.5440i | 0.819046 | + | 2.11651i | ||||
\(641\) | 1.32054 | − | 2.68662i | 0.0521582 | − | 0.106115i | −0.869800 | − | 0.493405i | \(-0.835752\pi\) |
0.921958 | + | 0.387290i | \(0.126589\pi\) | |||||||
\(642\) | −42.3686 | − | 9.15364i | −1.67216 | − | 0.361265i | ||||
\(643\) | 6.24827 | − | 26.5003i | 0.246408 | − | 1.04507i | −0.697949 | − | 0.716148i | \(-0.745904\pi\) |
0.944357 | − | 0.328924i | \(-0.106686\pi\) | |||||||
\(644\) | 7.81654 | − | 7.29615i | 0.308015 | − | 0.287509i | ||||
\(645\) | 14.4530 | − | 16.0786i | 0.569086 | − | 0.633095i | ||||
\(646\) | 3.71300 | − | 2.75488i | 0.146086 | − | 0.108389i | ||||
\(647\) | −16.0588 | + | 25.7872i | −0.631338 | + | 1.01380i | 0.365222 | + | 0.930920i | \(0.380993\pi\) |
−0.996560 | + | 0.0828788i | \(0.973589\pi\) | |||||||
\(648\) | −13.0532 | + | 2.47988i | −0.512779 | + | 0.0974187i | ||||
\(649\) | 0.0178352 | − | 0.218741i | 0.000700094 | − | 0.00858632i | ||||
\(650\) | 73.5392 | − | 3.68483i | 2.88444 | − | 0.144531i | ||||
\(651\) | −40.3958 | + | 20.1704i | −1.58324 | + | 0.790542i | ||||
\(652\) | 0.0309812 | − | 0.0483891i | 0.00121332 | − | 0.00189506i | ||||
\(653\) | −33.6420 | + | 15.7588i | −1.31651 | + | 0.616689i | −0.949570 | − | 0.313554i | \(-0.898480\pi\) |
−0.366944 | + | 0.930243i | \(0.619596\pi\) | |||||||
\(654\) | 22.2553 | + | 33.8204i | 0.870250 | + | 1.32248i | ||||
\(655\) | −62.9831 | − | 50.5043i | −2.46096 | − | 1.97337i | ||||
\(656\) | −13.2108 | + | 19.0214i | −0.515795 | + | 0.742660i | ||||
\(657\) | 17.9243 | − | 14.0080i | 0.699293 | − | 0.546504i | ||||
\(658\) | 81.6459 | − | 33.3708i | 3.18289 | − | 1.30093i | ||||
\(659\) | −3.35368 | − | 3.05276i | −0.130641 | − | 0.118919i | 0.605200 | − | 0.796074i | \(-0.293093\pi\) |
−0.735841 | + | 0.677155i | \(0.763213\pi\) | |||||||
\(660\) | −0.281442 | + | 0.591165i | −0.0109551 | + | 0.0230111i | ||||
\(661\) | 0.0844367 | − | 0.0768605i | 0.00328421 | − | 0.00298953i | −0.671508 | − | 0.740998i | \(-0.734353\pi\) |
0.674792 | + | 0.738008i | \(0.264233\pi\) | |||||||
\(662\) | 0.439209 | + | 1.44992i | 0.0170703 | + | 0.0563527i | ||||
\(663\) | 3.78060 | − | 2.45403i | 0.146826 | − | 0.0953067i | ||||
\(664\) | 15.8784 | + | 11.1759i | 0.616202 | + | 0.433708i | ||||
\(665\) | 44.9187 | + | 107.965i | 1.74187 | + | 4.18672i | ||||
\(666\) | −23.7132 | − | 9.00630i | −0.918869 | − | 0.348987i | ||||
\(667\) | 11.2813 | + | 4.77659i | 0.436813 | + | 0.184950i | ||||
\(668\) | 1.63203 | + | 0.395599i | 0.0631451 | + | 0.0153062i | ||||
\(669\) | 20.8646 | − | 48.4313i | 0.806672 | − | 1.87246i | ||||
\(670\) | −2.58245 | + | 82.5037i | −0.0997686 | + | 3.18740i | ||||
\(671\) | 0.877320 | + | 0.759328i | 0.0338686 | + | 0.0293135i | ||||
\(672\) | 25.2232 | − | 19.2086i | 0.973006 | − | 0.740986i | ||||
\(673\) | −25.7853 | + | 14.9590i | −0.993950 | + | 0.576625i | −0.907687 | − | 0.419647i | \(-0.862154\pi\) |
−0.0862630 | + | 0.996272i | \(0.527493\pi\) | |||||||
\(674\) | 44.6850 | − | 12.6251i | 1.72120 | − | 0.486301i | ||||
\(675\) | −27.2826 | − | 11.1511i | −1.05011 | − | 0.429205i | ||||
\(676\) | 0.0848618 | + | 0.178251i | 0.00326392 | + | 0.00685582i | ||||
\(677\) | 1.89943 | − | 6.27041i | 0.0730011 | − | 0.240992i | −0.912938 | − | 0.408099i | \(-0.866192\pi\) |
0.985939 | + | 0.167108i | \(0.0534427\pi\) | |||||||
\(678\) | 1.88802 | + | 6.52604i | 0.0725090 | + | 0.250631i | ||||
\(679\) | −12.7441 | − | 1.28036i | −0.489075 | − | 0.0491357i | ||||
\(680\) | −1.47762 | − | 4.47135i | −0.0566641 | − | 0.171468i | ||||
\(681\) | −2.90001 | + | 3.96017i | −0.111129 | + | 0.151754i | ||||
\(682\) | 0.349964 | − | 0.649229i | 0.0134008 | − | 0.0248603i | ||||
\(683\) | −1.82408 | + | 41.6122i | −0.0697963 | + | 1.59225i | 0.568649 | + | 0.822580i | \(0.307466\pi\) |
−0.638445 | + | 0.769667i | \(0.720422\pi\) | |||||||
\(684\) | −0.817770 | − | 11.8606i | −0.0312682 | − | 0.453500i | ||||
\(685\) | −20.0122 | + | 16.0472i | −0.764626 | + | 0.613131i | ||||
\(686\) | 38.5879 | + | 12.4846i | 1.47329 | + | 0.476664i | ||||
\(687\) | −8.48266 | − | 43.1745i | −0.323634 | − | 1.64721i | ||||
\(688\) | 5.19500 | − | 7.68346i | 0.198058 | − | 0.292929i | ||||
\(689\) | 2.37433 | − | 25.2189i | 0.0904550 | − | 0.960764i | ||||
\(690\) | −84.4898 | − | 12.7863i | −3.21647 | − | 0.486766i | ||||
\(691\) | −1.44630 | + | 8.47787i | −0.0550197 | + | 0.322513i | −0.999989 | − | 0.00464520i | \(-0.998521\pi\) |
0.944969 | + | 0.327159i | \(0.106091\pi\) | |||||||
\(692\) | 11.2658 | − | 2.73079i | 0.428261 | − | 0.103809i | ||||
\(693\) | −2.05698 | − | 0.337681i | −0.0781382 | − | 0.0128274i | ||||
\(694\) | −2.26062 | + | 40.0940i | −0.0858119 | + | 1.52195i | ||||
\(695\) | 6.28377 | + | 66.7428i | 0.238357 | + | 2.53170i | ||||
\(696\) | 13.7055 | + | 7.49896i | 0.519506 | + | 0.284247i | ||||
\(697\) | 1.40049 | − | 1.81534i | 0.0530475 | − | 0.0687608i | ||||
\(698\) | −25.8353 | − | 5.92104i | −0.977880 | − | 0.224115i | ||||
\(699\) | −43.1414 | + | 36.4049i | −1.63176 | + | 1.37696i | ||||
\(700\) | −27.7321 | + | 2.08655i | −1.04818 | + | 0.0788641i | ||||
\(701\) | 12.1567 | − | 13.8693i | 0.459151 | − | 0.523837i | −0.475350 | − | 0.879797i | \(-0.657679\pi\) |
0.934501 | + | 0.355960i | \(0.115846\pi\) | |||||||
\(702\) | −0.0836199 | − | 13.3616i | −0.00315603 | − | 0.504300i | ||||
\(703\) | 11.9785 | − | 22.9035i | 0.451779 | − | 0.863823i | ||||
\(704\) | 0.189267 | − | 0.597742i | 0.00713328 | − | 0.0225283i | ||||
\(705\) | −120.980 | − | 68.1753i | −4.55637 | − | 2.56763i | ||||
\(706\) | −16.7367 | − | 8.09688i | −0.629895 | − | 0.304730i | ||||
\(707\) | −0.492389 | − | 11.2327i | −0.0185182 | − | 0.422451i | ||||
\(708\) | −2.32463 | + | 0.262975i | −0.0873648 | + | 0.00988320i | ||||
\(709\) | −16.6533 | − | 13.6998i | −0.625429 | − | 0.514506i | 0.268170 | − | 0.963372i | \(-0.413581\pi\) |
−0.893599 | + | 0.448866i | \(0.851828\pi\) | |||||||
\(710\) | −87.0391 | − | 39.4506i | −3.26652 | − | 1.48055i | ||||
\(711\) | −29.9948 | − | 2.63471i | −1.12489 | − | 0.0988095i | ||||
\(712\) | −15.7750 | − | 17.5493i | −0.591192 | − | 0.657688i | ||||
\(713\) | 18.5846 | + | 3.77234i | 0.696000 | + | 0.141275i | ||||
\(714\) | −7.12810 | + | 4.88479i | −0.266762 | + | 0.182809i | ||||
\(715\) | −1.50925 | − | 1.09077i | −0.0564428 | − | 0.0407926i | ||||
\(716\) | −1.74454 | − | 1.47214i | −0.0651967 | − | 0.0550163i | ||||
\(717\) | −5.00266 | − | 6.65511i | −0.186828 | − | 0.248540i | ||||
\(718\) | 50.4795 | − | 6.35137i | 1.88388 | − | 0.237031i | ||||
\(719\) | −5.02518 | − | 2.91529i | −0.187408 | − | 0.108722i | 0.405148 | − | 0.914251i | \(-0.367220\pi\) |
−0.592556 | + | 0.805529i | \(0.701881\pi\) | |||||||
\(720\) | −75.0967 | − | 19.2014i | −2.79869 | − | 0.715595i | ||||
\(721\) | 4.63950 | − | 35.0990i | 0.172784 | − | 1.30716i | ||||
\(722\) | 31.4658 | + | 1.57666i | 1.17104 | + | 0.0586772i | ||||
\(723\) | 65.1587 | − | 28.5557i | 2.42328 | − | 1.06200i | ||||
\(724\) | 12.7924 | + | 1.77246i | 0.475425 | + | 0.0658730i | ||||
\(725\) | −15.1191 | − | 28.0479i | −0.561509 | − | 1.04167i | ||||
\(726\) | −40.9407 | + | 19.8063i | −1.51945 | + | 0.735079i | ||||
\(727\) | 7.13514 | + | 0.447112i | 0.264628 | + | 0.0165825i | 0.194303 | − | 0.980942i | \(-0.437756\pi\) |
0.0703253 | + | 0.997524i | \(0.477596\pi\) | |||||||
\(728\) | 17.5416 | + | 34.5878i | 0.650136 | + | 1.28191i | ||||
\(729\) | 16.6787 | − | 36.1939i | 0.617731 | − | 1.34051i | ||||
\(730\) | −37.9767 | + | 8.70366i | −1.40558 | + | 0.322137i | ||||
\(731\) | −0.551738 | + | 0.733984i | −0.0204068 | + | 0.0271474i | ||||
\(732\) | 6.13944 | − | 10.7370i | 0.226920 | − | 0.396852i | ||||
\(733\) | 18.8609 | + | 22.0693i | 0.696644 | + | 0.815149i | 0.990032 | − | 0.140844i | \(-0.0449817\pi\) |
−0.293387 | + | 0.955994i | \(0.594783\pi\) | |||||||
\(734\) | 2.71716 | + | 3.26115i | 0.100292 | + | 0.120371i | ||||
\(735\) | −49.3087 | − | 132.317i | −1.81878 | − | 4.88058i | ||||
\(736\) | −13.3148 | − | 0.166661i | −0.490791 | − | 0.00614321i | ||||
\(737\) | 0.974090 | − | 1.13979i | 0.0358811 | − | 0.0419847i | ||||
\(738\) | −10.0985 | − | 28.1712i | −0.371730 | − | 1.03700i | ||||
\(739\) | −28.3816 | − | 19.4495i | −1.04403 | − | 0.715462i | −0.0843190 | − | 0.996439i | \(-0.526871\pi\) |
−0.959715 | + | 0.280977i | \(0.909342\pi\) | |||||||
\(740\) | 5.95650 | + | 6.14586i | 0.218965 | + | 0.225926i | ||||
\(741\) | 59.5662 | + | 6.73846i | 2.18822 | + | 0.247544i | ||||
\(742\) | −3.34044 | + | 48.4482i | −0.122631 | + | 1.77859i | ||||
\(743\) | −10.3721 | − | 14.9341i | −0.380515 | − | 0.547879i | 0.584053 | − | 0.811716i | \(-0.301466\pi\) |
−0.964567 | + | 0.263837i | \(0.915012\pi\) | |||||||
\(744\) | 23.1005 | + | 7.15572i | 0.846904 | + | 0.262341i | ||||
\(745\) | −19.2326 | − | 5.17488i | −0.704630 | − | 0.189593i | ||||
\(746\) | 18.3400 | − | 8.31261i | 0.671474 | − | 0.304346i | ||||
\(747\) | −29.8517 | + | 10.4905i | −1.09222 | + | 0.383828i | ||||
\(748\) | 0.00971053 | − | 0.0260576i | 0.000355052 | − | 0.000952759i | ||||
\(749\) | −16.8046 | + | 43.4251i | −0.614027 | + | 1.58672i | ||||
\(750\) | 91.5358 | + | 99.3031i | 3.34242 | + | 3.62604i | ||||
\(751\) | −9.15944 | − | 14.7082i | −0.334233 | − | 0.536709i | 0.638207 | − | 0.769865i | \(-0.279677\pi\) |
−0.972439 | + | 0.233156i | \(0.925095\pi\) | |||||||
\(752\) | −55.4235 | − | 21.8475i | −2.02109 | − | 0.796696i | ||||
\(753\) | 0.101361 | + | 3.23826i | 0.00369379 | + | 0.118009i | ||||
\(754\) | 9.10710 | − | 11.2128i | 0.331661 | − | 0.408346i | ||||
\(755\) | 48.8891 | − | 60.1931i | 1.77926 | − | 2.19065i | ||||
\(756\) | 0.157891 | + | 5.04428i | 0.00574244 | + | 0.183459i | ||||
\(757\) | 7.90923 | + | 3.11775i | 0.287466 | + | 0.113317i | 0.506057 | − | 0.862500i | \(-0.331102\pi\) |
−0.218591 | + | 0.975816i | \(0.570146\pi\) | |||||||
\(758\) | 7.34027 | + | 11.7870i | 0.266611 | + | 0.428122i | ||||
\(759\) | 1.05199 | + | 1.14125i | 0.0381848 | + | 0.0414249i | ||||
\(760\) | 22.6037 | − | 58.4107i | 0.819923 | − | 2.11878i | ||||
\(761\) | −13.7159 | + | 36.8057i | −0.497200 | + | 1.33420i | 0.409455 | + | 0.912331i | \(0.365719\pi\) |
−0.906655 | + | 0.421874i | \(0.861373\pi\) | |||||||
\(762\) | −10.4802 | + | 3.68298i | −0.379659 | + | 0.133420i | ||||
\(763\) | 39.6119 | − | 17.9541i | 1.43405 | − | 0.649984i | ||||
\(764\) | 8.98120 | + | 2.41655i | 0.324928 | + | 0.0874276i | ||||
\(765\) | 7.33025 | + | 2.27066i | 0.265026 | + | 0.0820958i | ||||
\(766\) | −22.9673 | − | 33.0691i | −0.829842 | − | 1.19484i | ||||
\(767\) | 0.457675 | − | 6.63791i | 0.0165257 | − | 0.239681i | ||||
\(768\) | −29.0002 | − | 3.28067i | −1.04646 | − | 0.118381i | ||||
\(769\) | −21.5661 | − | 22.2517i | −0.777695 | − | 0.802418i | 0.206698 | − | 0.978405i | \(-0.433728\pi\) |
−0.984393 | + | 0.175987i | \(0.943688\pi\) | |||||||
\(770\) | 2.94496 | + | 2.01814i | 0.106129 | + | 0.0727287i | ||||
\(771\) | 4.57353 | + | 12.7586i | 0.164712 | + | 0.459488i | ||||
\(772\) | −1.94102 | + | 2.27120i | −0.0698588 | + | 0.0817424i | ||||
\(773\) | 3.15310 | + | 0.0394672i | 0.113409 | + | 0.00141954i | 0.0692004 | − | 0.997603i | \(-0.477955\pi\) |
0.0442088 | + | 0.999022i | \(0.485923\pi\) | |||||||
\(774\) | 4.18521 | + | 11.2307i | 0.150434 | + | 0.403681i | ||||
\(775\) | −31.5724 | − | 37.8933i | −1.13411 | − | 1.36117i | ||||
\(776\) | 4.45696 | + | 5.21513i | 0.159996 | + | 0.187212i | ||||
\(777\) | −23.9794 | + | 41.9367i | −0.860257 | + | 1.50447i | ||||
\(778\) | 23.0426 | − | 30.6539i | 0.826116 | − | 1.09899i | ||||
\(779\) | 29.7232 | − | 6.81210i | 1.06495 | − | 0.244069i | ||||
\(780\) | −8.30761 | + | 18.0280i | −0.297460 | + | 0.645507i | ||||
\(781\) | 0.785126 | + | 1.54807i | 0.0280940 | + | 0.0553944i | ||||
\(782\) | 3.62220 | + | 0.226979i | 0.129530 | + | 0.00811676i | ||||
\(783\) | −5.20510 | + | 2.51812i | −0.186015 | + | 0.0899902i | ||||
\(784\) | −28.7440 | − | 53.3238i | −1.02657 | − | 1.90442i | ||||
\(785\) | −26.7172 | − | 3.70183i | −0.953578 | − | 0.132124i | ||||
\(786\) | 72.6722 | − | 31.8485i | 2.59213 | − | 1.13600i | ||||
\(787\) | −31.2290 | − | 1.56479i | −1.11319 | − | 0.0557788i | −0.515043 | − | 0.857164i | \(-0.672224\pi\) |
−0.598148 | + | 0.801385i | \(0.704097\pi\) | |||||||
\(788\) | −0.0958262 | + | 0.724951i | −0.00341367 | + | 0.0258253i | ||||
\(789\) | −21.6913 | − | 5.54625i | −0.772232 | − | 0.197452i | ||||
\(790\) | 44.6065 | + | 25.8778i | 1.58703 | + | 0.920691i | ||||
\(791\) | 7.24079 | − | 0.911042i | 0.257453 | − | 0.0323929i | ||||
\(792\) | 0.670856 | + | 0.892449i | 0.0238378 | + | 0.0317118i | ||||
\(793\) | 26.8842 | + | 22.6862i | 0.954685 | + | 0.805611i | ||||
\(794\) | −0.331249 | − | 0.239402i | −0.0117556 | − | 0.00849607i | ||||
\(795\) | 63.0701 | − | 43.2211i | 2.23687 | − | 1.53289i | ||||
\(796\) | 7.78483 | + | 1.58018i | 0.275926 | + | 0.0560079i | ||||
\(797\) | −19.4146 | − | 21.5983i | −0.687701 | − | 0.765052i | 0.293933 | − | 0.955826i | \(-0.405036\pi\) |
−0.981634 | + | 0.190774i | \(0.938900\pi\) | |||||||
\(798\) | −114.487 | − | 10.0564i | −4.05280 | − | 0.355994i | ||||
\(799\) | 5.37191 | + | 2.43482i | 0.190044 | + | 0.0861379i | ||||
\(800\) | 26.7461 | + | 22.0026i | 0.945619 | + | 0.777908i | ||||
\(801\) | 38.2094 | − | 4.32246i | 1.35006 | − | 0.152727i | ||||
\(802\) | 0.405655 | + | 9.25411i | 0.0143242 | + | 0.326774i | ||||
\(803\) | 0.637057 | + | 0.308195i | 0.0224812 | + | 0.0108760i | ||||
\(804\) | −13.9237 | − | 7.84640i | −0.491053 | − | 0.276721i | ||||
\(805\) | −27.7095 | + | 87.5118i | −0.976631 | + | 3.08439i | ||||
\(806\) | 10.3628 | − | 19.8142i | 0.365015 | − | 0.697926i | ||||
\(807\) | −0.137045 | − | 21.8983i | −0.00482421 | − | 0.770858i | ||||
\(808\) | −3.96945 | + | 4.52868i | −0.139645 | + | 0.159318i | ||||
\(809\) | 33.3700 | − | 2.51073i | 1.17323 | − | 0.0882727i | 0.525941 | − | 0.850521i | \(-0.323713\pi\) |
0.647284 | + | 0.762249i | \(0.275905\pi\) | |||||||
\(810\) | −28.3401 | + | 23.9148i | −0.995771 | + | 0.840281i | ||||
\(811\) | 10.7701 | + | 2.46833i | 0.378188 | + | 0.0866747i | 0.408242 | − | 0.912874i | \(-0.366142\pi\) |
−0.0300546 | + | 0.999548i | \(0.509568\pi\) | |||||||
\(812\) | −3.33266 | + | 4.31984i | −0.116953 | + | 0.151597i | ||||
\(813\) | 30.3428 | + | 16.6020i | 1.06417 | + | 0.582259i | ||||
\(814\) | −0.0739668 | − | 0.785635i | −0.00259253 | − | 0.0275365i | ||||
\(815\) | −0.0277673 | + | 0.492477i | −0.000972647 | + | 0.0172507i | ||||
\(816\) | 5.75942 | + | 0.945485i | 0.201620 | + | 0.0330986i | ||||
\(817\) | −11.8687 | + | 2.87694i | −0.415234 | + | 0.100651i | ||||
\(818\) | 1.36500 | − | 8.00130i | 0.0477260 | − | 0.279759i | ||||
\(819\) | −62.4857 | − | 9.45629i | −2.18343 | − | 0.330430i | ||||
\(820\) | −0.946484 | + | 10.0530i | −0.0330527 | + | 0.351068i | ||||
\(821\) | 3.76478 | − | 5.56814i | 0.131392 | − | 0.194330i | −0.757001 | − | 0.653414i | \(-0.773336\pi\) |
0.888393 | + | 0.459084i | \(0.151822\pi\) | |||||||
\(822\) | −4.86035 | − | 24.7379i | −0.169524 | − | 0.862833i | ||||
\(823\) | 13.8495 | + | 4.48082i | 0.482763 | + | 0.156191i | 0.539137 | − | 0.842218i | \(-0.318751\pi\) |
−0.0563736 | + | 0.998410i | \(0.517954\pi\) | |||||||
\(824\) | −14.7939 | + | 11.8628i | −0.515369 | + | 0.413259i | ||||
\(825\) | −0.277685 | − | 4.02741i | −0.00966774 | − | 0.140217i | ||||
\(826\) | −0.558639 | + | 12.7441i | −0.0194375 | + | 0.443424i | ||||
\(827\) | 8.37308 | − | 15.5332i | 0.291161 | − | 0.540141i | −0.692222 | − | 0.721684i | \(-0.743368\pi\) |
0.983383 | + | 0.181543i | \(0.0581093\pi\) | |||||||
\(828\) | 5.51383 | − | 7.52951i | 0.191619 | − | 0.261669i | ||||
\(829\) | 8.75432 | + | 26.4910i | 0.304050 | + | 0.920070i | 0.982635 | + | 0.185549i | \(0.0594062\pi\) |
−0.678585 | + | 0.734522i | \(0.737407\pi\) | |||||||
\(830\) | 53.9202 | + | 5.41717i | 1.87160 | + | 0.188033i | ||||
\(831\) | 10.8412 | + | 37.4732i | 0.376078 | + | 1.29993i | ||||
\(832\) | 5.51084 | − | 18.1924i | 0.191054 | − | 0.630709i | ||||
\(833\) | 2.57795 | + | 5.41495i | 0.0893205 | + | 0.187617i | ||||
\(834\) | −60.9888 | − | 24.9277i | −2.11187 | − | 0.863175i | ||||
\(835\) | −13.8733 | + | 3.91970i | −0.480105 | + | 0.135647i | ||||
\(836\) | 0.319910 | − | 0.185591i | 0.0110643 | − | 0.00641880i | ||||
\(837\) | −7.12078 | + | 5.42278i | −0.246130 | + | 0.187439i | ||||
\(838\) | −18.9495 | − | 16.4010i | −0.654601 | − | 0.566563i | ||||
\(839\) | 0.443077 | − | 14.1554i | 0.0152967 | − | 0.488698i | −0.961534 | − | 0.274685i | \(-0.911426\pi\) |
0.976831 | − | 0.214013i | \(-0.0686534\pi\) | |||||||
\(840\) | −46.3154 | + | 107.508i | −1.59803 | + | 3.70939i | ||||
\(841\) | 22.1087 | + | 5.35907i | 0.762369 | + | 0.184796i | ||||
\(842\) | 0.820844 | + | 0.347552i | 0.0282881 | + | 0.0119774i | ||||
\(843\) | −42.3406 | − | 16.0810i | −1.45829 | − | 0.553859i | ||||
\(844\) | −3.62047 | − | 8.70205i | −0.124622 | − | 0.299537i | ||||
\(845\) | −1.38595 | − | 0.975485i | −0.0476780 | − | 0.0335577i | ||||
\(846\) | 64.5721 | − | 41.9145i | 2.22004 | − | 1.44105i | ||||
\(847\) | 14.1637 | + | 46.7573i | 0.486671 | + | 1.60660i | ||||
\(848\) | 24.2564 | − | 22.0799i | 0.832967 | − | 0.758228i | ||||
\(849\) | −32.9198 | + | 69.1476i | −1.12980 | + | 2.37314i | ||||
\(850\) | −6.98055 | − | 6.35421i | −0.239431 | − | 0.217948i | ||||
\(851\) | 18.7812 | − | 7.67636i | 0.643812 | − | 0.263142i | ||||
\(852\) | 14.5790 | − | 11.3936i | 0.499468 | − | 0.390339i | ||||
\(853\) | −15.2819 | + | 22.0035i | −0.523244 | + | 0.753386i | −0.991486 | − | 0.130215i | \(-0.958433\pi\) |
0.468242 | + | 0.883600i | \(0.344888\pi\) | |||||||
\(854\) | −52.6145 | − | 42.1900i | −1.80043 | − | 1.44371i | ||||
\(855\) | 56.1039 | + | 85.2588i | 1.91871 | + | 2.91579i | ||||
\(856\) | 22.5845 | − | 10.5791i | 0.771921 | − | 0.361588i | ||||
\(857\) | −6.96677 | + | 10.8813i | −0.237980 | + | 0.371698i | −0.940403 | − | 0.340062i | \(-0.889552\pi\) |
0.702423 | + | 0.711760i | \(0.252102\pi\) | |||||||
\(858\) | 1.63740 | − | 0.817586i | 0.0558999 | − | 0.0279119i | ||||
\(859\) | 11.0312 | − | 0.552743i | 0.376381 | − | 0.0188593i | 0.139042 | − | 0.990286i | \(-0.455598\pi\) |
0.237338 | + | 0.971427i | \(0.423725\pi\) | |||||||
\(860\) | 0.328635 | − | 4.03055i | 0.0112064 | − | 0.137441i | ||||
\(861\) | −55.9923 | + | 10.6375i | −1.90821 | + | 0.362526i | ||||
\(862\) | 3.38181 | − | 5.43049i | 0.115185 | − | 0.184963i | ||||
\(863\) | 33.9299 | − | 25.1744i | 1.15499 | − | 0.856948i | 0.163423 | − | 0.986556i | \(-0.447746\pi\) |
0.991565 | + | 0.129608i | \(0.0413719\pi\) | |||||||
\(864\) | 4.20151 | − | 4.67409i | 0.142938 | − | 0.159016i | ||||
\(865\) | −72.7478 | + | 67.9047i | −2.47350 | + | 2.30883i | ||||
\(866\) | −9.04740 | + | 38.3721i | −0.307443 | + | 1.30394i | ||||
\(867\) | 43.0253 | + | 9.29550i | 1.46121 | + | 0.315692i | ||||
\(868\) | −3.72549 | + | 7.57943i | −0.126451 | + | 0.257263i | ||||
\(869\) | −0.338054 | − | 0.873573i | −0.0114677 | − | 0.0296339i | ||||
\(870\) | 43.5989 | − | 0.545725i | 1.47814 | − | 0.0185018i | ||||
\(871\) | 29.0971 | − | 34.9225i | 0.985919 | − | 1.18330i | ||||
\(872\) | −21.9764 | − | 7.72296i | −0.744214 | − | 0.261532i | ||||
\(873\) | −11.1362 | + | 0.978193i | −0.376903 | + | 0.0331068i | ||||
\(874\) | 35.2861 | + | 32.9370i | 1.19357 | + | 1.11411i | ||||
\(875\) | 120.692 | − | 80.5071i | 4.08012 | − | 2.72164i | ||||
\(876\) | 1.91445 | − | 7.29682i | 0.0646832 | − | 0.246537i | ||||
\(877\) | 10.3271 | + | 17.5472i | 0.348720 | + | 0.592528i | 0.983660 | − | 0.180034i | \(-0.0576206\pi\) |
−0.634940 | + | 0.772561i | \(0.718975\pi\) | |||||||
\(878\) | −4.15191 | + | 0.260172i | −0.140120 | + | 0.00878040i | ||||
\(879\) | 8.50220 | − | 4.79121i | 0.286772 | − | 0.161604i | ||||
\(880\) | −0.494456 | − | 2.36010i | −0.0166681 | − | 0.0795590i | ||||
\(881\) | 20.1700 | + | 15.3603i | 0.679545 | + | 0.517503i | 0.887600 | − | 0.460614i | \(-0.152371\pi\) |
−0.208056 | + | 0.978117i | \(0.566714\pi\) | |||||||
\(882\) | 77.6673 | + | 9.77216i | 2.61519 | + | 0.329046i | ||||
\(883\) | −28.3373 | − | 49.5579i | −0.953625 | − | 1.66776i | −0.718165 | − | 0.695873i | \(-0.755018\pi\) |
−0.235459 | − | 0.971884i | \(-0.575660\pi\) | |||||||
\(884\) | 0.284488 | − | 0.793623i | 0.00956837 | − | 0.0266924i | ||||
\(885\) | 16.2776 | − | 11.7642i | 0.547165 | − | 0.395450i | ||||
\(886\) | −38.0798 | − | 2.86510i | −1.27931 | − | 0.0962548i | ||||
\(887\) | −1.30321 | + | 1.27897i | −0.0437576 | + | 0.0429437i | −0.721988 | − | 0.691906i | \(-0.756771\pi\) |
0.678230 | + | 0.734850i | \(0.262747\pi\) | |||||||
\(888\) | 24.8094 | − | 7.34606i | 0.832549 | − | 0.246518i | ||||
\(889\) | 2.15381 | + | 11.7370i | 0.0722365 | + | 0.393647i | ||||
\(890\) | −62.4014 | − | 21.0555i | −2.09170 | − | 0.705781i | ||||
\(891\) | 0.673345 | − | 0.0168591i | 0.0225579 | − | 0.000564802i | ||||
\(892\) | −2.38363 | − | 9.57155i | −0.0798098 | − | 0.320479i | ||||
\(893\) | 34.6024 | + | 70.3980i | 1.15793 | + | 2.35578i | ||||
\(894\) | 13.2670 | − | 14.3927i | 0.443714 | − | 0.481365i | ||||
\(895\) | 19.2520 | + | 3.65753i | 0.643523 | + | 0.122258i | ||||
\(896\) | −16.1154 | + | 58.4336i | −0.538378 | + | 1.95213i | ||||
\(897\) | 32.3242 | + | 34.1981i | 1.07927 | + | 1.14184i | ||||
\(898\) | −24.7753 | + | 9.40969i | −0.826764 | + | 0.314006i | ||||
\(899\) | −9.66947 | − | 0.363249i | −0.322495 | − | 0.0121150i | ||||
\(900\) | −23.4394 | + | 6.30677i | −0.781312 | + | 0.210226i | ||||
\(901\) | −2.50781 | + | 2.06304i | −0.0835472 | + | 0.0687297i | ||||
\(902\) | 0.647927 | − | 0.668525i | 0.0215736 | − | 0.0222594i | ||||
\(903\) | 22.3692 | − | 4.54053i | 0.744399 | − | 0.151099i | ||||
\(904\) | −3.13910 | − | 2.32907i | −0.104405 | − | 0.0774636i | ||||
\(905\) | −103.145 | + | 40.6588i | −3.42865 | + | 1.35154i | ||||
\(906\) | 30.1543 | + | 69.9947i | 1.00181 | + | 2.32542i | ||||
\(907\) | −5.44510 | − | 31.9179i | −0.180801 | − | 1.05982i | −0.921615 | − | 0.388106i | \(-0.873129\pi\) |
0.740813 | − | 0.671711i | \(-0.234440\pi\) | |||||||
\(908\) | 0.0172362 | + | 0.917958i | 0.000572003 | + | 0.0304635i | ||||
\(909\) | −2.25205 | − | 9.55145i | −0.0746957 | − | 0.316802i | ||||
\(910\) | 90.0425 | + | 60.0627i | 2.98488 | + | 1.99106i | ||||
\(911\) | −20.0138 | + | 17.7651i | −0.663087 | + | 0.588584i | −0.926589 | − | 0.376075i | \(-0.877274\pi\) |
0.263503 | + | 0.964659i | \(0.415122\pi\) | |||||||
\(912\) | 51.1667 | + | 58.3751i | 1.69430 | + | 1.93299i | ||||
\(913\) | −0.702531 | − | 0.689464i | −0.0232504 | − | 0.0228179i | ||||
\(914\) | 6.85155 | + | 3.63815i | 0.226629 | + | 0.120339i | ||||
\(915\) | −0.664485 | + | 106.178i | −0.0219672 | + | 3.51013i | ||||
\(916\) | −6.15507 | − | 5.46350i | −0.203369 | − | 0.180519i | ||||
\(917\) | −21.6304 | − | 82.4432i | −0.714299 | − | 2.72251i | ||||
\(918\) | −1.20746 | + | 1.21504i | −0.0398522 | + | 0.0401024i | ||||
\(919\) | 23.8119 | + | 35.2180i | 0.785481 | + | 1.16173i | 0.983389 | + | 0.181513i | \(0.0580993\pi\) |
−0.197908 | + | 0.980221i | \(0.563415\pi\) | |||||||
\(920\) | 43.1312 | − | 23.5992i | 1.42199 | − | 0.778043i | ||||
\(921\) | 1.40479 | − | 8.90559i | 0.0462895 | − | 0.293449i | ||||
\(922\) | −32.5455 | + | 5.76200i | −1.07183 | + | 0.189761i | ||||
\(923\) | 24.3886 | + | 46.6321i | 0.802760 | + | 1.53491i | ||||
\(924\) | −0.610521 | + | 0.324184i | −0.0200847 | + | 0.0106649i | ||||
\(925\) | −50.5994 | − | 14.9825i | −1.66370 | − | 0.492621i | ||||
\(926\) | 4.40997 | − | 41.2950i | 0.144921 | − | 1.35704i | ||||
\(927\) | −1.73952 | − | 30.8519i | −0.0571334 | − | 1.01331i | ||||
\(928\) | 6.71800 | − | 1.01667i | 0.220529 | − | 0.0333739i | ||||
\(929\) | −0.243421 | + | 12.9640i | −0.00798638 | + | 0.425335i | 0.972951 | + | 0.231011i | \(0.0742035\pi\) |
−0.980937 | + | 0.194324i | \(0.937749\pi\) | |||||||
\(930\) | 65.9718 | − | 14.2530i | 2.16330 | − | 0.467376i | ||||
\(931\) | −19.2750 | + | 77.3997i | −0.631714 | + | 2.53667i | ||||
\(932\) | −2.29428 | + | 10.3064i | −0.0751516 | + | 0.337598i | ||||
\(933\) | 14.9739 | + | 14.3319i | 0.490223 | + | 0.469205i | ||||
\(934\) | 6.93615 | + | 20.1395i | 0.226958 | + | 0.658985i | ||||
\(935\) | 0.0371976 | + | 0.235811i | 0.00121649 | + | 0.00771185i | ||||
\(936\) | 20.6757 | + | 26.8001i | 0.675807 | + | 0.875990i | ||||
\(937\) | 1.51714 | + | 3.29228i | 0.0495627 | + | 0.107554i | 0.931396 | − | 0.364006i | \(-0.118591\pi\) |
−0.881834 | + | 0.471560i | \(0.843691\pi\) | |||||||
\(938\) | −54.0914 | + | 68.3283i | −1.76615 | + | 2.23100i | ||||
\(939\) | 14.9899 | − | 9.20517i | 0.489176 | − | 0.300400i | ||||
\(940\) | −25.7290 | + | 3.56491i | −0.839188 | + | 0.116274i | ||||
\(941\) | 4.01280 | + | 5.47976i | 0.130814 | + | 0.178635i | 0.867252 | − | 0.497870i | \(-0.165884\pi\) |
−0.736438 | + | 0.676505i | \(0.763494\pi\) | |||||||
\(942\) | 15.3932 | − | 21.5820i | 0.501537 | − | 0.703181i | ||||
\(943\) | 21.2805 | + | 10.9606i | 0.692989 | + | 0.356928i | ||||
\(944\) | 6.22438 | − | 5.95751i | 0.202586 | − | 0.193900i | ||||
\(945\) | −22.4406 | − | 37.0608i | −0.729993 | − | 1.20559i | ||||
\(946\) | −0.256116 | + | 0.270963i | −0.00832703 | + | 0.00880976i | ||||
\(947\) | −5.89746 | + | 14.1750i | −0.191642 | + | 0.460624i | −0.989913 | − | 0.141673i | \(-0.954752\pi\) |
0.798272 | + | 0.602297i | \(0.205748\pi\) | |||||||
\(948\) | −8.44264 | + | 5.33122i | −0.274204 | + | 0.173150i | ||||
\(949\) | 19.4294 | + | 9.10122i | 0.630704 | + | 0.295438i | ||||
\(950\) | −18.0083 | − | 124.247i | −0.584266 | − | 4.03109i | ||||
\(951\) | 28.5301 | + | 40.0006i | 0.925151 | + | 1.29711i | ||||
\(952\) | 1.56002 | − | 4.72070i | 0.0505605 | − | 0.152999i | ||||
\(953\) | 7.29836 | − | 16.3740i | 0.236417 | − | 0.530406i | −0.755818 | − | 0.654782i | \(-0.772761\pi\) |
0.992235 | + | 0.124376i | \(0.0396929\pi\) | |||||||
\(954\) | 5.02803 | + | 42.0867i | 0.162789 | + | 1.36261i | ||||
\(955\) | −77.3554 | + | 19.7789i | −2.50316 | + | 0.640032i | ||||
\(956\) | −1.49864 | − | 0.423420i | −0.0484695 | − | 0.0136944i | ||||
\(957\) | −0.624028 | − | 0.487684i | −0.0201720 | − | 0.0157646i | ||||
\(958\) | −43.7525 | + | 13.5530i | −1.41358 | + | 0.437878i | ||||
\(959\) | −27.0629 | + | 1.01666i | −0.873906 | + | 0.0328296i | ||||
\(960\) | 52.8360 | − | 22.3712i | 1.70527 | − | 0.722028i | ||||
\(961\) | 15.8100 | − | 2.59542i | 0.510001 | − | 0.0837234i | ||||
\(962\) | −2.54042 | − | 23.7885i | −0.0819065 | − | 0.766973i | ||||
\(963\) | −7.33526 | + | 39.9729i | −0.236375 | + | 1.28811i | ||||
\(964\) | 6.46020 | − | 11.6335i | 0.208069 | − | 0.374690i | ||||
\(965\) | 4.94466 | − | 25.1670i | 0.159174 | − | 0.810155i | ||||
\(966\) | −63.5933 | − | 63.9925i | −2.04608 | − | 2.05892i | ||||
\(967\) | 18.0127 | − | 30.6062i | 0.579249 | − | 0.984230i | −0.417880 | − | 0.908502i | \(-0.637227\pi\) |
0.997129 | − | 0.0757277i | \(-0.0241280\pi\) | |||||||
\(968\) | 11.8359 | − | 23.3374i | 0.380419 | − | 0.750092i | ||||
\(969\) | −4.77003 | − | 6.02550i | −0.153235 | − | 0.193567i | ||||
\(970\) | 17.9824 | + | 6.57340i | 0.577381 | + | 0.211059i | ||||
\(971\) | 15.6315 | + | 0.391378i | 0.501638 | + | 0.0125599i | 0.275048 | − | 0.961430i | \(-0.411306\pi\) |
0.226589 | + | 0.973990i | \(0.427242\pi\) | |||||||
\(972\) | −2.29984 | − | 10.3314i | −0.0737675 | − | 0.331380i | ||||
\(973\) | −36.6591 | + | 60.5427i | −1.17524 | + | 1.94091i | ||||
\(974\) | 9.71032 | + | 35.2091i | 0.311139 | + | 1.12817i | ||||
\(975\) | −9.94625 | − | 121.986i | −0.318535 | − | 3.90668i | ||||
\(976\) | 5.96920 | + | 45.1586i | 0.191069 | + | 1.44549i | ||||
\(977\) | −0.247224 | + | 2.06937i | −0.00790941 | + | 0.0662050i | −0.996342 | − | 0.0854565i | \(-0.972765\pi\) |
0.988432 | + | 0.151661i | \(0.0484624\pi\) | |||||||
\(978\) | −0.416253 | − | 0.248497i | −0.0133103 | − | 0.00794607i | ||||
\(979\) | 0.645017 | + | 1.00744i | 0.0206148 | + | 0.0321980i | ||||
\(980\) | −22.3325 | − | 14.1021i | −0.713385 | − | 0.450477i | ||||
\(981\) | 31.0409 | − | 21.8479i | 0.991061 | − | 0.697549i | ||||
\(982\) | 20.3804 | − | 50.7682i | 0.650365 | − | 1.62008i | ||||
\(983\) | 0.983648 | − | 3.40003i | 0.0313735 | − | 0.108444i | −0.943389 | − | 0.331688i | \(-0.892382\pi\) |
0.974763 | + | 0.223244i | \(0.0716647\pi\) | |||||||
\(984\) | 25.6048 | + | 16.6204i | 0.816252 | + | 0.529838i | ||||
\(985\) | −2.33871 | − | 5.82579i | −0.0745174 | − | 0.185625i | ||||
\(986\) | −1.84260 | + | 0.185119i | −0.0586803 | + | 0.00589540i | ||||
\(987\) | −59.6879 | − | 133.911i | −1.89989 | − | 4.26243i | ||||
\(988\) | 9.62769 | − | 5.74760i | 0.306298 | − | 0.182856i | ||||
\(989\) | −8.57686 | − | 4.28260i | −0.272728 | − | 0.136179i | ||||
\(990\) | 2.85395 | + | 1.25074i | 0.0907046 | + | 0.0397511i | ||||
\(991\) | −24.4922 | − | 15.0405i | −0.778021 | − | 0.477777i | 0.0765795 | − | 0.997063i | \(-0.475600\pi\) |
−0.854600 | + | 0.519287i | \(0.826198\pi\) | |||||||
\(992\) | 9.87821 | − | 3.61094i | 0.313633 | − | 0.114647i | ||||
\(993\) | 2.38605 | − | 0.805100i | 0.0757190 | − | 0.0255491i | ||||
\(994\) | −48.9806 | − | 88.2042i | −1.55357 | − | 2.79767i | ||||
\(995\) | −64.8828 | + | 20.9919i | −2.05692 | + | 0.665489i | ||||
\(996\) | −5.76787 | + | 8.76520i | −0.182762 | + | 0.277736i | ||||
\(997\) | 6.82601 | − | 47.0955i | 0.216182 | − | 1.49153i | −0.542494 | − | 0.840060i | \(-0.682520\pi\) |
0.758676 | − | 0.651469i | \(-0.225847\pi\) | |||||||
\(998\) | −15.1922 | + | 7.82481i | −0.480899 | + | 0.247690i | ||||
\(999\) | −3.11837 | + | 9.05436i | −0.0986608 | + | 0.286467i |
(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 | 503.2.c.a.2.10 | ✓ | 10250 | |
503.252 | even | 251 | inner | 503.2.c.a.252.10 | yes | 10250 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
503.2.c.a.2.10 | ✓ | 10250 | 1.1 | even | 1 | trivial | |
503.2.c.a.252.10 | yes | 10250 | 503.252 | even | 251 | inner |