Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(6,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([36, 70]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.bc (of order \(45\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(1152\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 6.2 | ||
Character | \(\chi\) | \(=\) | 475.6 |
Dual form | 475.2.bc.a.396.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.29691 | − | 1.43527i | −1.62416 | − | 1.01489i | −0.964771 | − | 0.263091i | \(-0.915258\pi\) |
−0.659392 | − | 0.751799i | \(-0.729186\pi\) | |||||||
\(3\) | −2.18186 | + | 0.625639i | −1.25970 | + | 0.361213i | −0.838074 | − | 0.545557i | \(-0.816318\pi\) |
−0.421626 | + | 0.906770i | \(0.638540\pi\) | |||||||
\(4\) | 2.33907 | + | 4.79580i | 1.16953 | + | 2.39790i | ||||
\(5\) | 1.19746 | + | 1.88841i | 0.535521 | + | 0.844522i | ||||
\(6\) | 5.90951 | + | 1.69453i | 2.41255 | + | 0.691787i | ||||
\(7\) | 0.140645 | − | 0.243604i | 0.0531588 | − | 0.0920738i | −0.838221 | − | 0.545330i | \(-0.816404\pi\) |
0.891380 | + | 0.453256i | \(0.149738\pi\) | |||||||
\(8\) | 0.944410 | − | 8.98546i | 0.333899 | − | 3.17684i | ||||
\(9\) | 1.82496 | − | 1.14036i | 0.608320 | − | 0.380120i | ||||
\(10\) | −0.0400903 | − | 6.05619i | −0.0126777 | − | 1.91514i | ||||
\(11\) | 2.37271 | − | 2.63516i | 0.715399 | − | 0.794531i | −0.270348 | − | 0.962763i | \(-0.587139\pi\) |
0.985748 | + | 0.168231i | \(0.0538055\pi\) | |||||||
\(12\) | −8.10397 | − | 9.00037i | −2.33941 | − | 2.59818i | ||||
\(13\) | 0.0497317 | + | 1.42413i | 0.0137931 | + | 0.394983i | 0.986580 | + | 0.163280i | \(0.0522074\pi\) |
−0.972787 | + | 0.231703i | \(0.925570\pi\) | |||||||
\(14\) | −0.672688 | + | 0.357674i | −0.179783 | + | 0.0955925i | ||||
\(15\) | −3.79416 | − | 3.37107i | −0.979648 | − | 0.870406i | ||||
\(16\) | −8.49569 | + | 10.8740i | −2.12392 | + | 2.71850i | ||||
\(17\) | −2.57858 | + | 0.180312i | −0.625397 | + | 0.0437320i | −0.378940 | − | 0.925421i | \(-0.623711\pi\) |
−0.246458 | + | 0.969153i | \(0.579267\pi\) | |||||||
\(18\) | −5.82850 | −1.37379 | ||||||||
\(19\) | 4.29120 | + | 0.765232i | 0.984469 | + | 0.175556i | ||||
\(20\) | −6.25548 | + | 10.1599i | −1.39877 | + | 2.27182i | ||||
\(21\) | −0.154460 | + | 0.619505i | −0.0337059 | + | 0.135187i | ||||
\(22\) | −9.23208 | + | 2.64726i | −1.96829 | + | 0.564397i | ||||
\(23\) | 6.72332 | − | 0.944901i | 1.40191 | − | 0.197025i | 0.602647 | − | 0.798008i | \(-0.294113\pi\) |
0.799262 | + | 0.600983i | \(0.205224\pi\) | |||||||
\(24\) | 3.56108 | + | 20.1959i | 0.726903 | + | 4.12247i | ||||
\(25\) | −2.13217 | + | 4.52259i | −0.426434 | + | 0.904519i | ||||
\(26\) | 1.92978 | − | 3.34248i | 0.378462 | − | 0.655515i | ||||
\(27\) | 1.28800 | − | 1.43047i | 0.247876 | − | 0.275294i | ||||
\(28\) | 1.49726 | + | 0.104698i | 0.282955 | + | 0.0197861i | ||||
\(29\) | −3.22577 | − | 0.225568i | −0.599010 | − | 0.0418868i | −0.232967 | − | 0.972485i | \(-0.574843\pi\) |
−0.366043 | + | 0.930598i | \(0.619288\pi\) | |||||||
\(30\) | 3.87646 | + | 13.1887i | 0.707742 | + | 2.40792i | ||||
\(31\) | −5.63863 | + | 2.51048i | −1.01273 | + | 0.450895i | −0.844902 | − | 0.534921i | \(-0.820341\pi\) |
−0.167825 | + | 0.985817i | \(0.553675\pi\) | |||||||
\(32\) | 18.1408 | − | 6.60272i | 3.20688 | − | 1.16721i | ||||
\(33\) | −3.52827 | + | 7.23403i | −0.614193 | + | 1.25928i | ||||
\(34\) | 6.18157 | + | 3.28680i | 1.06013 | + | 0.563682i | ||||
\(35\) | 0.628441 | − | 0.0261118i | 0.106226 | − | 0.00441370i | ||||
\(36\) | 9.73765 | + | 6.08476i | 1.62294 | + | 1.01413i | ||||
\(37\) | 0.698388 | − | 2.14942i | 0.114814 | − | 0.353362i | −0.877094 | − | 0.480319i | \(-0.840521\pi\) |
0.991908 | + | 0.126957i | \(0.0405210\pi\) | |||||||
\(38\) | −8.75821 | − | 7.91671i | −1.42077 | − | 1.28426i | ||||
\(39\) | −0.999500 | − | 3.07615i | −0.160048 | − | 0.492577i | ||||
\(40\) | 18.0991 | − | 8.97632i | 2.86172 | − | 1.41928i | ||||
\(41\) | 6.29873 | − | 8.06201i | 0.983697 | − | 1.25907i | 0.0178820 | − | 0.999840i | \(-0.494308\pi\) |
0.965815 | − | 0.259234i | \(-0.0834701\pi\) | |||||||
\(42\) | 1.24394 | − | 1.20126i | 0.191944 | − | 0.185358i | ||||
\(43\) | 0.849231 | + | 4.81623i | 0.129506 | + | 0.734468i | 0.978529 | + | 0.206111i | \(0.0660806\pi\) |
−0.849022 | + | 0.528357i | \(0.822808\pi\) | |||||||
\(44\) | 18.1876 | + | 5.21522i | 2.74189 | + | 0.786224i | ||||
\(45\) | 4.33879 | + | 2.08073i | 0.646788 | + | 0.310177i | ||||
\(46\) | −16.7991 | − | 7.47943i | −2.47689 | − | 1.10278i | ||||
\(47\) | −4.27564 | − | 0.298982i | −0.623667 | − | 0.0436110i | −0.245573 | − | 0.969378i | \(-0.578976\pi\) |
−0.378094 | + | 0.925767i | \(0.623420\pi\) | |||||||
\(48\) | 11.7332 | − | 29.0408i | 1.69355 | − | 4.19168i | ||||
\(49\) | 3.46044 | + | 5.99365i | 0.494348 | + | 0.856236i | ||||
\(50\) | 11.3886 | − | 7.32777i | 1.61058 | − | 1.03630i | ||||
\(51\) | 5.51330 | − | 2.00668i | 0.772016 | − | 0.280991i | ||||
\(52\) | −6.71352 | + | 3.56964i | −0.930998 | + | 0.495020i | ||||
\(53\) | 5.08908 | + | 10.4342i | 0.699039 | + | 1.43324i | 0.892000 | + | 0.452036i | \(0.149302\pi\) |
−0.192961 | + | 0.981206i | \(0.561809\pi\) | |||||||
\(54\) | −5.01154 | + | 1.43704i | −0.681985 | + | 0.195556i | ||||
\(55\) | 7.81749 | + | 1.32514i | 1.05411 | + | 0.178682i | ||||
\(56\) | −2.05607 | − | 1.49382i | −0.274754 | − | 0.199621i | ||||
\(57\) | −9.84158 | + | 1.01511i | −1.30355 | + | 0.134455i | ||||
\(58\) | 7.08556 | + | 5.14796i | 0.930379 | + | 0.675960i | ||||
\(59\) | 2.94730 | + | 7.29481i | 0.383705 | + | 0.949704i | 0.988210 | + | 0.153103i | \(0.0489265\pi\) |
−0.604505 | + | 0.796601i | \(0.706629\pi\) | |||||||
\(60\) | 7.29217 | − | 26.0812i | 0.941415 | − | 3.36707i | ||||
\(61\) | −3.95603 | + | 0.555984i | −0.506518 | + | 0.0711865i | −0.387804 | − | 0.921742i | \(-0.626766\pi\) |
−0.118714 | + | 0.992928i | \(0.537877\pi\) | |||||||
\(62\) | 16.5547 | + | 2.32661i | 2.10244 | + | 0.295479i | ||||
\(63\) | −0.0211255 | − | 0.604954i | −0.00266156 | − | 0.0762171i | ||||
\(64\) | −24.1491 | − | 5.13305i | −3.01864 | − | 0.641632i | ||||
\(65\) | −2.62979 | + | 1.79926i | −0.326185 | + | 0.223170i | ||||
\(66\) | 18.4869 | − | 11.5519i | 2.27558 | − | 1.42194i | ||||
\(67\) | 2.83319 | + | 11.3633i | 0.346129 | + | 1.38825i | 0.851051 | + | 0.525083i | \(0.175966\pi\) |
−0.504922 | + | 0.863165i | \(0.668479\pi\) | |||||||
\(68\) | −6.89621 | − | 11.9446i | −0.836288 | − | 1.44849i | ||||
\(69\) | −14.0782 | + | 6.26802i | −1.69482 | + | 0.754580i | ||||
\(70\) | −1.48095 | − | 0.842007i | −0.177008 | − | 0.100639i | ||||
\(71\) | 5.75951 | + | 5.56190i | 0.683528 | + | 0.660076i | 0.953013 | − | 0.302929i | \(-0.0979645\pi\) |
−0.269485 | + | 0.963005i | \(0.586853\pi\) | |||||||
\(72\) | −8.52317 | − | 17.4751i | −1.00446 | − | 2.05946i | ||||
\(73\) | −0.112245 | + | 3.21429i | −0.0131373 | + | 0.376204i | 0.974961 | + | 0.222378i | \(0.0713818\pi\) |
−0.988098 | + | 0.153826i | \(0.950840\pi\) | |||||||
\(74\) | −4.68913 | + | 3.93465i | −0.545100 | + | 0.457394i | ||||
\(75\) | 1.82259 | − | 11.2017i | 0.210454 | − | 1.29346i | ||||
\(76\) | 6.36751 | + | 22.3697i | 0.730404 | + | 2.56598i | ||||
\(77\) | −0.308227 | − | 0.948625i | −0.0351257 | − | 0.108106i | ||||
\(78\) | −2.11934 | + | 8.50019i | −0.239968 | + | 0.962457i | ||||
\(79\) | 2.62718 | − | 0.753332i | 0.295581 | − | 0.0847564i | −0.124570 | − | 0.992211i | \(-0.539755\pi\) |
0.420151 | + | 0.907454i | \(0.361977\pi\) | |||||||
\(80\) | −30.7078 | − | 3.02214i | −3.43324 | − | 0.337886i | ||||
\(81\) | −4.74535 | + | 9.72941i | −0.527261 | + | 1.08105i | ||||
\(82\) | −26.0388 | + | 9.47735i | −2.87551 | + | 1.04660i | ||||
\(83\) | 13.4729 | − | 5.99851i | 1.47884 | − | 0.658422i | 0.500558 | − | 0.865703i | \(-0.333128\pi\) |
0.978281 | + | 0.207282i | \(0.0664616\pi\) | |||||||
\(84\) | −3.33231 | + | 0.708305i | −0.363585 | + | 0.0772824i | ||||
\(85\) | −3.42825 | − | 4.65349i | −0.371846 | − | 0.504742i | ||||
\(86\) | 4.96198 | − | 12.2813i | 0.535064 | − | 1.32433i | ||||
\(87\) | 7.17930 | − | 1.52601i | 0.769702 | − | 0.163605i | ||||
\(88\) | −21.4373 | − | 23.8086i | −2.28523 | − | 2.53800i | ||||
\(89\) | −9.61713 | − | 12.3094i | −1.01941 | − | 1.30479i | −0.951682 | − | 0.307086i | \(-0.900646\pi\) |
−0.0677321 | − | 0.997704i | \(-0.521576\pi\) | |||||||
\(90\) | −6.97941 | − | 11.0066i | −0.735695 | − | 1.16020i | ||||
\(91\) | 0.353919 | + | 0.188182i | 0.0371008 | + | 0.0197268i | ||||
\(92\) | 20.2578 | + | 30.0335i | 2.11203 | + | 3.13121i | ||||
\(93\) | 10.7321 | − | 9.00527i | 1.11286 | − | 0.933803i | ||||
\(94\) | 9.39166 | + | 6.82344i | 0.968676 | + | 0.703784i | ||||
\(95\) | 3.69348 | + | 9.01988i | 0.378943 | + | 0.925420i | ||||
\(96\) | −35.4499 | + | 25.7558i | −3.61809 | + | 2.62870i | ||||
\(97\) | −3.87194 | + | 15.5295i | −0.393136 | + | 1.57678i | 0.369039 | + | 0.929414i | \(0.379687\pi\) |
−0.762176 | + | 0.647370i | \(0.775869\pi\) | |||||||
\(98\) | 0.654191 | − | 18.7336i | 0.0660832 | − | 1.89238i | ||||
\(99\) | 1.32506 | − | 7.51481i | 0.133174 | − | 0.755267i | ||||
\(100\) | −26.6767 | + | 0.353200i | −2.66767 | + | 0.0353200i | ||||
\(101\) | −16.1809 | + | 5.88935i | −1.61006 | + | 0.586012i | −0.981451 | − | 0.191713i | \(-0.938596\pi\) |
−0.628604 | + | 0.777725i | \(0.716373\pi\) | |||||||
\(102\) | −15.5437 | − | 3.30391i | −1.53906 | − | 0.327136i | ||||
\(103\) | 0.648119 | + | 0.288561i | 0.0638611 | + | 0.0284328i | 0.438419 | − | 0.898771i | \(-0.355539\pi\) |
−0.374558 | + | 0.927204i | \(0.622205\pi\) | |||||||
\(104\) | 12.8434 | + | 0.898101i | 1.25940 | + | 0.0880660i | ||||
\(105\) | −1.35484 | + | 0.450150i | −0.132219 | + | 0.0439301i | ||||
\(106\) | 3.28667 | − | 31.2706i | 0.319230 | − | 3.03727i | ||||
\(107\) | 3.19387 | − | 5.53195i | 0.308763 | − | 0.534794i | −0.669329 | − | 0.742966i | \(-0.733418\pi\) |
0.978092 | + | 0.208173i | \(0.0667516\pi\) | |||||||
\(108\) | 9.87298 | + | 2.83103i | 0.950028 | + | 0.272416i | ||||
\(109\) | −1.98547 | − | 0.279039i | −0.190173 | − | 0.0267271i | 0.0434434 | − | 0.999056i | \(-0.486167\pi\) |
−0.233617 | + | 0.972329i | \(0.575056\pi\) | |||||||
\(110\) | −16.0542 | − | 14.2640i | −1.53071 | − | 1.36001i | ||||
\(111\) | −0.179027 | + | 5.12667i | −0.0169925 | + | 0.486602i | ||||
\(112\) | 1.45407 | + | 3.59896i | 0.137397 | + | 0.340070i | ||||
\(113\) | −6.24694 | + | 19.2261i | −0.587663 | + | 1.80864i | 0.000638960 | 1.00000i | \(0.499797\pi\) | |
−0.588302 | + | 0.808641i | \(0.700203\pi\) | |||||||
\(114\) | 24.0622 | + | 11.7937i | 2.25363 | + | 1.10458i | ||||
\(115\) | 9.83528 | + | 11.5649i | 0.917144 | + | 1.07843i | ||||
\(116\) | −6.46351 | − | 15.9977i | −0.600122 | − | 1.48535i | ||||
\(117\) | 1.71478 | + | 2.54227i | 0.158532 | + | 0.235033i | ||||
\(118\) | 3.70035 | − | 20.9857i | 0.340645 | − | 1.93189i | ||||
\(119\) | −0.318740 | + | 0.653513i | −0.0292188 | + | 0.0599075i | ||||
\(120\) | −33.8739 | + | 30.9086i | −3.09225 | + | 2.82156i | ||||
\(121\) | −0.164511 | − | 1.56522i | −0.0149555 | − | 0.142293i | ||||
\(122\) | 9.88465 | + | 4.40093i | 0.894914 | + | 0.398441i | ||||
\(123\) | −8.69906 | + | 21.5309i | −0.784368 | + | 1.94138i | ||||
\(124\) | −25.2289 | − | 21.1695i | −2.26562 | − | 1.90108i | ||||
\(125\) | −11.0937 | + | 1.38923i | −0.992250 | + | 0.124257i | ||||
\(126\) | −0.819750 | + | 1.41985i | −0.0730291 | + | 0.126490i | ||||
\(127\) | −2.93564 | − | 3.75744i | −0.260496 | − | 0.333419i | 0.639927 | − | 0.768436i | \(-0.278965\pi\) |
−0.900422 | + | 0.435017i | \(0.856742\pi\) | |||||||
\(128\) | 20.3273 | + | 19.6299i | 1.79670 | + | 1.73505i | ||||
\(129\) | −4.86613 | − | 9.97704i | −0.428438 | − | 0.878429i | ||||
\(130\) | 8.62282 | − | 0.358279i | 0.756271 | − | 0.0314231i | ||||
\(131\) | −1.22455 | + | 0.0856287i | −0.106989 | + | 0.00748141i | −0.123151 | − | 0.992388i | \(-0.539300\pi\) |
0.0161615 | + | 0.999869i | \(0.494855\pi\) | |||||||
\(132\) | −42.9458 | −3.73795 | ||||||||
\(133\) | 0.789950 | − | 0.937730i | 0.0684974 | − | 0.0813115i | ||||
\(134\) | 9.80183 | − | 30.1669i | 0.846749 | − | 2.60603i | ||||
\(135\) | 4.24365 | + | 0.719338i | 0.365235 | + | 0.0619108i | ||||
\(136\) | −0.815052 | + | 23.3400i | −0.0698901 | + | 2.00139i | ||||
\(137\) | 6.72903 | + | 3.57789i | 0.574900 | + | 0.305680i | 0.731346 | − | 0.682007i | \(-0.238893\pi\) |
−0.156446 | + | 0.987687i | \(0.550004\pi\) | |||||||
\(138\) | 41.3327 | + | 5.80893i | 3.51847 | + | 0.494489i | ||||
\(139\) | −4.97698 | − | 6.37024i | −0.422142 | − | 0.540317i | 0.529183 | − | 0.848508i | \(-0.322499\pi\) |
−0.951324 | + | 0.308191i | \(0.900276\pi\) | |||||||
\(140\) | 1.59519 | + | 2.95280i | 0.134818 | + | 0.249557i | ||||
\(141\) | 9.51593 | − | 2.02267i | 0.801386 | − | 0.170340i | ||||
\(142\) | −5.24627 | − | 21.0417i | −0.440257 | − | 1.76578i | ||||
\(143\) | 3.87082 | + | 3.24800i | 0.323694 | + | 0.271611i | ||||
\(144\) | −3.10402 | + | 29.5328i | −0.258668 | + | 2.46106i | ||||
\(145\) | −3.43677 | − | 6.36167i | −0.285408 | − | 0.528308i | ||||
\(146\) | 4.87119 | − | 7.22183i | 0.403142 | − | 0.597683i | ||||
\(147\) | −11.3001 | − | 10.9124i | −0.932014 | − | 0.900035i | ||||
\(148\) | 11.9417 | − | 1.67830i | 0.981605 | − | 0.137956i | ||||
\(149\) | 13.1222 | + | 4.77609i | 1.07501 | + | 0.391272i | 0.818049 | − | 0.575149i | \(-0.195056\pi\) |
0.256963 | + | 0.966421i | \(0.417278\pi\) | |||||||
\(150\) | −20.2637 | + | 23.1133i | −1.65453 | + | 1.88719i | ||||
\(151\) | 19.3926 | 1.57814 | 0.789072 | − | 0.614300i | \(-0.210562\pi\) | ||||
0.789072 | + | 0.614300i | \(0.210562\pi\) | |||||||
\(152\) | 10.9286 | − | 37.8358i | 0.886428 | − | 3.06888i | ||||
\(153\) | −4.50018 | + | 3.26957i | −0.363818 | + | 0.264329i | ||||
\(154\) | −0.653563 | + | 2.62130i | −0.0526656 | + | 0.211230i | ||||
\(155\) | −11.4928 | − | 7.64182i | −0.923128 | − | 0.613806i | ||||
\(156\) | 12.4147 | − | 11.9887i | 0.993969 | − | 0.959865i | ||||
\(157\) | −3.12679 | − | 17.7329i | −0.249545 | − | 1.41524i | −0.809695 | − | 0.586850i | \(-0.800368\pi\) |
0.560150 | − | 0.828391i | \(-0.310743\pi\) | |||||||
\(158\) | −7.11564 | − | 2.04038i | −0.566090 | − | 0.162324i | ||||
\(159\) | −17.6317 | − | 19.5820i | −1.39828 | − | 1.55295i | ||||
\(160\) | 34.1916 | + | 26.3508i | 2.70308 | + | 2.08321i | ||||
\(161\) | 0.715419 | − | 1.77072i | 0.0563829 | − | 0.139553i | ||||
\(162\) | 24.8640 | − | 15.5367i | 1.95350 | − | 1.22068i | ||||
\(163\) | −3.50653 | + | 0.745337i | −0.274653 | + | 0.0583793i | −0.343179 | − | 0.939270i | \(-0.611504\pi\) |
0.0685260 | + | 0.997649i | \(0.478170\pi\) | |||||||
\(164\) | 53.3969 | + | 11.3499i | 4.16960 | + | 0.886276i | ||||
\(165\) | −17.8858 | + | 1.99966i | −1.39240 | + | 0.155673i | ||||
\(166\) | −39.5555 | − | 5.55916i | −3.07010 | − | 0.431475i | ||||
\(167\) | −7.46901 | + | 7.21274i | −0.577970 | + | 0.558139i | −0.925122 | − | 0.379670i | \(-0.876038\pi\) |
0.347152 | + | 0.937809i | \(0.387149\pi\) | |||||||
\(168\) | 5.42066 | + | 1.97296i | 0.418213 | + | 0.152217i | ||||
\(169\) | 10.9427 | − | 0.765185i | 0.841743 | − | 0.0588604i | ||||
\(170\) | 1.19538 | + | 15.6091i | 0.0916814 | + | 1.19717i | ||||
\(171\) | 8.70391 | − | 3.49700i | 0.665605 | − | 0.267423i | ||||
\(172\) | −21.1112 | + | 15.3382i | −1.60972 | + | 1.16953i | ||||
\(173\) | −9.36701 | − | 5.85316i | −0.712161 | − | 0.445008i | 0.124863 | − | 0.992174i | \(-0.460151\pi\) |
−0.837024 | + | 0.547166i | \(0.815706\pi\) | |||||||
\(174\) | −18.6805 | − | 6.79914i | −1.41616 | − | 0.515441i | ||||
\(175\) | 0.801845 | + | 1.15549i | 0.0606138 | + | 0.0873465i | ||||
\(176\) | 8.49691 | + | 48.1884i | 0.640479 | + | 3.63233i | ||||
\(177\) | −10.9945 | − | 14.0723i | −0.826399 | − | 1.05774i | ||||
\(178\) | 4.42244 | + | 42.0767i | 0.331476 | + | 3.15378i | ||||
\(179\) | −3.48962 | − | 1.55368i | −0.260827 | − | 0.116128i | 0.272158 | − | 0.962253i | \(-0.412263\pi\) |
−0.532984 | + | 0.846125i | \(0.678929\pi\) | |||||||
\(180\) | 0.169961 | + | 25.6749i | 0.0126681 | + | 1.91370i | ||||
\(181\) | 3.10636 | + | 12.4589i | 0.230894 | + | 0.926065i | 0.968134 | + | 0.250434i | \(0.0805733\pi\) |
−0.737240 | + | 0.675631i | \(0.763871\pi\) | |||||||
\(182\) | −0.542829 | − | 0.940208i | −0.0402372 | − | 0.0696928i | ||||
\(183\) | 8.28368 | − | 3.68813i | 0.612347 | − | 0.272634i | ||||
\(184\) | −2.14080 | − | 61.3045i | −0.157822 | − | 4.51943i | ||||
\(185\) | 4.89527 | − | 1.25500i | 0.359907 | − | 0.0922697i | ||||
\(186\) | −37.5756 | + | 5.28091i | −2.75518 | + | 0.387215i | ||||
\(187\) | −5.64307 | + | 7.22280i | −0.412662 | + | 0.528184i | ||||
\(188\) | −8.56716 | − | 21.2045i | −0.624824 | − | 1.54649i | ||||
\(189\) | −0.167318 | − | 0.514952i | −0.0121706 | − | 0.0374572i | ||||
\(190\) | 4.46236 | − | 26.0190i | 0.323733 | − | 1.88762i | ||||
\(191\) | −0.647837 | + | 1.99384i | −0.0468758 | + | 0.144269i | −0.971755 | − | 0.235992i | \(-0.924166\pi\) |
0.924879 | + | 0.380261i | \(0.124166\pi\) | |||||||
\(192\) | 55.9015 | − | 3.90901i | 4.03434 | − | 0.282109i | ||||
\(193\) | 5.34497 | + | 1.94541i | 0.384740 | + | 0.140034i | 0.527146 | − | 0.849774i | \(-0.323262\pi\) |
−0.142407 | + | 0.989808i | \(0.545484\pi\) | |||||||
\(194\) | 31.1826 | − | 30.1127i | 2.23878 | − | 2.16196i | ||||
\(195\) | 4.61215 | − | 5.57103i | 0.330283 | − | 0.398950i | ||||
\(196\) | −20.6502 | + | 30.6151i | −1.47501 | + | 2.18679i | ||||
\(197\) | −1.80079 | − | 17.1334i | −0.128301 | − | 1.22070i | −0.849355 | − | 0.527823i | \(-0.823009\pi\) |
0.721054 | − | 0.692879i | \(-0.243658\pi\) | |||||||
\(198\) | −13.8294 | + | 15.3591i | −0.982809 | + | 1.09152i | ||||
\(199\) | −11.6152 | − | 9.74631i | −0.823380 | − | 0.690898i | 0.130381 | − | 0.991464i | \(-0.458380\pi\) |
−0.953761 | + | 0.300566i | \(0.902824\pi\) | |||||||
\(200\) | 38.6240 | + | 23.4297i | 2.73113 | + | 1.65673i | ||||
\(201\) | −13.2910 | − | 23.0206i | −0.937472 | − | 1.62375i | ||||
\(202\) | 45.6188 | + | 9.69658i | 3.20973 | + | 0.682249i | ||||
\(203\) | −0.508637 | + | 0.754086i | −0.0356993 | + | 0.0529264i | ||||
\(204\) | 22.5196 | + | 21.7469i | 1.57669 | + | 1.52259i | ||||
\(205\) | 22.7669 | + | 2.24062i | 1.59011 | + | 0.156492i | ||||
\(206\) | −1.07451 | − | 1.59303i | −0.0748647 | − | 0.110991i | ||||
\(207\) | 11.1923 | − | 9.39142i | 0.777916 | − | 0.652749i | ||||
\(208\) | −15.9085 | − | 11.5582i | −1.10306 | − | 0.801417i | ||||
\(209\) | 12.1983 | − | 9.49234i | 0.843774 | − | 0.656599i | ||||
\(210\) | 3.75803 | + | 0.910602i | 0.259329 | + | 0.0628375i | ||||
\(211\) | 4.28463 | + | 2.67733i | 0.294966 | + | 0.184315i | 0.669327 | − | 0.742968i | \(-0.266582\pi\) |
−0.374361 | + | 0.927283i | \(0.622138\pi\) | |||||||
\(212\) | −38.1364 | + | 48.8124i | −2.61922 | + | 3.35245i | ||||
\(213\) | −16.0462 | − | 8.53192i | −1.09947 | − | 0.584598i | ||||
\(214\) | −15.2759 | + | 8.12234i | −1.04424 | + | 0.555231i | ||||
\(215\) | −8.07808 | + | 7.37094i | −0.550920 | + | 0.502694i | ||||
\(216\) | −11.6370 | − | 12.9243i | −0.791801 | − | 0.879384i | ||||
\(217\) | −0.181481 | + | 1.72668i | −0.0123198 | + | 0.117215i | ||||
\(218\) | 4.15995 | + | 3.49061i | 0.281747 | + | 0.236414i | ||||
\(219\) | −1.76608 | − | 7.08336i | −0.119341 | − | 0.478649i | ||||
\(220\) | 11.9305 | + | 40.5907i | 0.804357 | + | 2.73663i | ||||
\(221\) | −0.385025 | − | 3.66327i | −0.0258996 | − | 0.246418i | ||||
\(222\) | 7.76937 | − | 11.5186i | 0.521446 | − | 0.773076i | ||||
\(223\) | 17.5254 | − | 9.31841i | 1.17359 | − | 0.624007i | 0.235998 | − | 0.971754i | \(-0.424164\pi\) |
0.937589 | + | 0.347746i | \(0.113053\pi\) | |||||||
\(224\) | 0.942966 | − | 5.34782i | 0.0630045 | − | 0.357316i | ||||
\(225\) | 1.26627 | + | 10.6850i | 0.0844180 | + | 0.712333i | ||||
\(226\) | 41.9434 | − | 35.1947i | 2.79003 | − | 2.34111i | ||||
\(227\) | −0.929129 | − | 2.85957i | −0.0616685 | − | 0.189796i | 0.915476 | − | 0.402373i | \(-0.131814\pi\) |
−0.977144 | + | 0.212577i | \(0.931814\pi\) | |||||||
\(228\) | −27.8884 | − | 44.8238i | −1.84695 | − | 2.96853i | ||||
\(229\) | 15.7806 | − | 11.4653i | 1.04281 | − | 0.757645i | 0.0719771 | − | 0.997406i | \(-0.477069\pi\) |
0.970832 | + | 0.239761i | \(0.0770692\pi\) | |||||||
\(230\) | −5.99204 | − | 40.6798i | −0.395103 | − | 2.68235i | ||||
\(231\) | 1.26601 | + | 1.87693i | 0.0832971 | + | 0.123493i | ||||
\(232\) | −5.07328 | + | 28.7720i | −0.333077 | + | 1.88897i | ||||
\(233\) | −10.1406 | + | 20.7913i | −0.664333 | + | 1.36209i | 0.254359 | + | 0.967110i | \(0.418136\pi\) |
−0.918692 | + | 0.394975i | \(0.870753\pi\) | |||||||
\(234\) | −0.289862 | − | 8.30055i | −0.0189488 | − | 0.542624i | ||||
\(235\) | −4.55532 | − | 8.43218i | −0.297156 | − | 0.550055i | ||||
\(236\) | −28.0905 | + | 31.1977i | −1.82854 | + | 2.03080i | ||||
\(237\) | −5.26083 | + | 3.28733i | −0.341728 | + | 0.213535i | ||||
\(238\) | 1.67009 | − | 1.04359i | 0.108256 | − | 0.0676456i | ||||
\(239\) | −1.82921 | + | 2.03154i | −0.118321 | + | 0.131409i | −0.799395 | − | 0.600806i | \(-0.794847\pi\) |
0.681074 | + | 0.732215i | \(0.261513\pi\) | |||||||
\(240\) | 68.8910 | − | 12.6181i | 4.44689 | − | 0.814495i | ||||
\(241\) | 0.869368 | + | 24.8954i | 0.0560009 | + | 1.60366i | 0.624535 | + | 0.780997i | \(0.285288\pi\) |
−0.568534 | + | 0.822660i | \(0.692489\pi\) | |||||||
\(242\) | −1.86864 | + | 3.83129i | −0.120121 | + | 0.246285i | ||||
\(243\) | 3.26384 | − | 18.5102i | 0.209376 | − | 1.18743i | ||||
\(244\) | −11.9198 | − | 17.6718i | −0.763088 | − | 1.13132i | ||||
\(245\) | −7.17472 | + | 13.7119i | −0.458376 | + | 0.876021i | ||||
\(246\) | 50.8837 | − | 36.9692i | 3.24423 | − | 2.35707i | ||||
\(247\) | −0.876381 | + | 6.14929i | −0.0557628 | + | 0.391270i | ||||
\(248\) | 17.2326 | + | 53.0366i | 1.09427 | + | 3.36783i | ||||
\(249\) | −25.6431 | + | 21.5171i | −1.62506 | + | 1.36359i | ||||
\(250\) | 27.4752 | + | 12.7315i | 1.73768 | + | 0.805211i | ||||
\(251\) | 2.01332 | − | 11.4181i | 0.127079 | − | 0.720703i | −0.852972 | − | 0.521957i | \(-0.825202\pi\) |
0.980051 | − | 0.198746i | \(-0.0636868\pi\) | |||||||
\(252\) | 2.85183 | − | 1.51634i | 0.179648 | − | 0.0955206i | ||||
\(253\) | 13.4625 | − | 19.9590i | 0.846382 | − | 1.25481i | ||||
\(254\) | 1.34995 | + | 12.8440i | 0.0847037 | + | 0.805902i | ||||
\(255\) | 10.3914 | + | 8.00844i | 0.650734 | + | 0.501508i | ||||
\(256\) | −6.57048 | − | 26.3527i | −0.410655 | − | 1.64705i | ||||
\(257\) | −3.48259 | − | 2.92224i | −0.217238 | − | 0.182285i | 0.527674 | − | 0.849447i | \(-0.323064\pi\) |
−0.744912 | + | 0.667162i | \(0.767509\pi\) | |||||||
\(258\) | −3.14268 | + | 29.9006i | −0.195655 | + | 1.86153i | ||||
\(259\) | −0.425382 | − | 0.472435i | −0.0264320 | − | 0.0293557i | ||||
\(260\) | −14.7801 | − | 8.40335i | −0.916624 | − | 0.521154i | ||||
\(261\) | −6.14412 | + | 3.26689i | −0.380312 | + | 0.202215i | ||||
\(262\) | 2.93558 | + | 1.56088i | 0.181361 | + | 0.0964312i | ||||
\(263\) | 2.41979 | − | 3.09719i | 0.149211 | − | 0.190981i | −0.707598 | − | 0.706615i | \(-0.750221\pi\) |
0.856809 | + | 0.515634i | \(0.172444\pi\) | |||||||
\(264\) | 61.6689 | + | 38.5350i | 3.79546 | + | 2.37167i | ||||
\(265\) | −13.6100 | + | 22.1048i | −0.836054 | + | 1.35789i | ||||
\(266\) | −3.16034 | + | 1.02009i | −0.193773 | + | 0.0625458i | ||||
\(267\) | 28.6845 | + | 20.8405i | 1.75546 | + | 1.27542i | ||||
\(268\) | −47.8691 | + | 40.1669i | −2.92407 | + | 2.45359i | ||||
\(269\) | −8.12698 | − | 12.0487i | −0.495511 | − | 0.734625i | 0.495471 | − | 0.868625i | \(-0.334996\pi\) |
−0.990981 | + | 0.134000i | \(0.957218\pi\) | |||||||
\(270\) | −8.71485 | − | 7.74304i | −0.530369 | − | 0.471227i | ||||
\(271\) | 20.2454 | + | 19.5508i | 1.22982 | + | 1.18763i | 0.975379 | + | 0.220537i | \(0.0707811\pi\) |
0.254443 | + | 0.967088i | \(0.418108\pi\) | |||||||
\(272\) | 19.9461 | − | 29.5713i | 1.20941 | − | 1.79302i | ||||
\(273\) | −0.889937 | − | 0.189162i | −0.0538614 | − | 0.0114486i | ||||
\(274\) | −10.3208 | − | 17.8761i | −0.623500 | − | 1.07993i | ||||
\(275\) | 6.85875 | + | 16.3494i | 0.413598 | + | 0.985907i | ||||
\(276\) | −62.9900 | − | 52.8549i | −3.79155 | − | 3.18149i | ||||
\(277\) | 10.8388 | − | 12.0377i | 0.651240 | − | 0.723276i | −0.323596 | − | 0.946195i | \(-0.604892\pi\) |
0.974837 | + | 0.222919i | \(0.0715587\pi\) | |||||||
\(278\) | 2.28867 | + | 21.7752i | 0.137265 | + | 1.30599i | ||||
\(279\) | −7.42741 | + | 11.0116i | −0.444668 | + | 0.659247i | ||||
\(280\) | 0.358880 | − | 5.67150i | 0.0214472 | − | 0.338937i | ||||
\(281\) | −3.10962 | + | 3.00292i | −0.185504 | + | 0.179139i | −0.781612 | − | 0.623765i | \(-0.785602\pi\) |
0.596108 | + | 0.802905i | \(0.296713\pi\) | |||||||
\(282\) | −24.7603 | − | 9.01203i | −1.47446 | − | 0.536659i | ||||
\(283\) | −11.9146 | + | 0.833148i | −0.708248 | + | 0.0495255i | −0.419337 | − | 0.907831i | \(-0.637738\pi\) |
−0.288911 | + | 0.957356i | \(0.593293\pi\) | |||||||
\(284\) | −13.2018 | + | 40.6311i | −0.783385 | + | 2.41101i | ||||
\(285\) | −13.7019 | − | 17.3694i | −0.811628 | − | 1.02887i | ||||
\(286\) | −4.22917 | − | 13.0160i | −0.250076 | − | 0.769655i | ||||
\(287\) | −1.07805 | − | 2.66828i | −0.0636356 | − | 0.157504i | ||||
\(288\) | 25.5768 | − | 32.7368i | 1.50713 | − | 1.92903i | ||||
\(289\) | −10.2180 | + | 1.43605i | −0.601059 | + | 0.0844733i | ||||
\(290\) | −1.23676 | + | 19.5449i | −0.0726250 | + | 1.14772i | ||||
\(291\) | −1.26782 | − | 36.3057i | −0.0743212 | − | 2.12828i | ||||
\(292\) | −15.6776 | + | 6.98012i | −0.917463 | + | 0.408481i | ||||
\(293\) | −0.644093 | − | 1.11560i | −0.0376283 | − | 0.0651742i | 0.846598 | − | 0.532233i | \(-0.178647\pi\) |
−0.884226 | + | 0.467059i | \(0.845314\pi\) | |||||||
\(294\) | 10.2931 | + | 41.2834i | 0.600306 | + | 2.40770i | ||||
\(295\) | −10.2463 | + | 14.3010i | −0.596563 | + | 0.832634i | ||||
\(296\) | −18.6539 | − | 8.30527i | −1.08424 | − | 0.482734i | ||||
\(297\) | −0.713468 | − | 6.78819i | −0.0413996 | − | 0.393891i | ||||
\(298\) | −23.2856 | − | 29.8042i | −1.34890 | − | 1.72651i | ||||
\(299\) | 1.68002 | + | 9.52789i | 0.0971583 | + | 0.551012i | ||||
\(300\) | 57.9840 | − | 17.4606i | 3.34771 | − | 1.00809i | ||||
\(301\) | 1.29269 | + | 0.470502i | 0.0745096 | + | 0.0271193i | ||||
\(302\) | −44.5431 | − | 27.8336i | −2.56316 | − | 1.60164i | ||||
\(303\) | 31.6198 | − | 22.9731i | 1.81651 | − | 1.31977i | ||||
\(304\) | −44.7779 | + | 40.1613i | −2.56819 | + | 2.30341i | ||||
\(305\) | −5.78712 | − | 6.80483i | −0.331370 | − | 0.389644i | ||||
\(306\) | 15.0293 | − | 1.05095i | 0.859166 | − | 0.0600787i | ||||
\(307\) | −11.9819 | − | 4.36105i | −0.683842 | − | 0.248898i | −0.0233456 | − | 0.999727i | \(-0.507432\pi\) |
−0.660496 | + | 0.750829i | \(0.729654\pi\) | |||||||
\(308\) | 3.82845 | − | 3.69709i | 0.218146 | − | 0.210661i | ||||
\(309\) | −1.59464 | − | 0.224112i | −0.0907160 | − | 0.0127493i | ||||
\(310\) | 15.4300 | + | 34.0480i | 0.876365 | + | 1.93379i | ||||
\(311\) | 5.98145 | + | 1.27140i | 0.339177 | + | 0.0720943i | 0.374351 | − | 0.927287i | \(-0.377865\pi\) |
−0.0351745 | + | 0.999381i | \(0.511199\pi\) | |||||||
\(312\) | −28.5845 | + | 6.07583i | −1.61828 | + | 0.343976i | ||||
\(313\) | 18.9883 | − | 11.8652i | 1.07328 | − | 0.670661i | 0.126315 | − | 0.991990i | \(-0.459685\pi\) |
0.946968 | + | 0.321329i | \(0.104129\pi\) | |||||||
\(314\) | −18.2696 | + | 45.2188i | −1.03101 | + | 2.55184i | ||||
\(315\) | 1.11710 | − | 0.764303i | 0.0629417 | − | 0.0430636i | ||||
\(316\) | 9.75798 | + | 10.8373i | 0.548929 | + | 0.609647i | ||||
\(317\) | −0.539270 | − | 0.154633i | −0.0302884 | − | 0.00868506i | 0.260459 | − | 0.965485i | \(-0.416126\pi\) |
−0.290747 | + | 0.956800i | \(0.593904\pi\) | |||||||
\(318\) | 12.3930 | + | 70.2844i | 0.694967 | + | 3.94135i | ||||
\(319\) | −8.24822 | + | 7.96521i | −0.461812 | + | 0.445966i | ||||
\(320\) | −19.2244 | − | 51.7500i | −1.07467 | − | 2.89291i | ||||
\(321\) | −3.50759 | + | 14.0682i | −0.195774 | + | 0.785209i | ||||
\(322\) | −4.18473 | + | 3.04038i | −0.233206 | + | 0.169434i | ||||
\(323\) | −11.2032 | − | 1.19946i | −0.623362 | − | 0.0667396i | ||||
\(324\) | −57.7600 | −3.20889 | ||||||||
\(325\) | −6.54680 | − | 2.81157i | −0.363151 | − | 0.155958i | ||||
\(326\) | 9.12397 | + | 3.32085i | 0.505330 | + | 0.183925i | ||||
\(327\) | 4.50660 | − | 0.633361i | 0.249215 | − | 0.0350249i | ||||
\(328\) | −66.4923 | − | 64.2109i | −3.67142 | − | 3.54545i | ||||
\(329\) | −0.674181 | + | 0.999515i | −0.0371688 | + | 0.0551051i | ||||
\(330\) | 43.9521 | + | 21.0779i | 2.41948 | + | 1.16030i | ||||
\(331\) | 2.38764 | − | 22.7169i | 0.131236 | − | 1.24863i | −0.708529 | − | 0.705682i | \(-0.750641\pi\) |
0.839765 | − | 0.542950i | \(-0.182693\pi\) | |||||||
\(332\) | 60.2816 | + | 50.5822i | 3.30838 | + | 2.77606i | ||||
\(333\) | −1.17658 | − | 4.71901i | −0.0644763 | − | 0.258600i | ||||
\(334\) | 27.5079 | − | 5.84699i | 1.50517 | − | 0.319933i | ||||
\(335\) | −18.0659 | + | 18.9573i | −0.987046 | + | 1.03575i | ||||
\(336\) | −5.42424 | − | 6.94271i | −0.295917 | − | 0.378756i | ||||
\(337\) | 30.1039 | + | 4.23083i | 1.63987 | + | 0.230468i | 0.897973 | − | 0.440050i | \(-0.145039\pi\) |
0.741893 | + | 0.670518i | \(0.233928\pi\) | |||||||
\(338\) | −26.2326 | − | 13.9481i | −1.42686 | − | 0.758677i | ||||
\(339\) | 1.60137 | − | 45.8571i | 0.0869742 | − | 2.49062i | ||||
\(340\) | 14.2983 | − | 27.3261i | 0.775434 | − | 1.48196i | ||||
\(341\) | −6.76331 | + | 20.8153i | −0.366254 | + | 1.12721i | ||||
\(342\) | −25.0113 | − | 4.46016i | −1.35246 | − | 0.241178i | ||||
\(343\) | 3.91580 | 0.211434 | ||||||||
\(344\) | 44.0780 | − | 3.08224i | 2.37653 | − | 0.166183i | ||||
\(345\) | −28.6947 | − | 19.0797i | −1.54487 | − | 1.02721i | ||||
\(346\) | 13.1144 | + | 26.8884i | 0.705032 | + | 1.44553i | ||||
\(347\) | −0.849340 | − | 0.820198i | −0.0455949 | − | 0.0440305i | 0.671512 | − | 0.740994i | \(-0.265645\pi\) |
−0.717107 | + | 0.696963i | \(0.754534\pi\) | |||||||
\(348\) | 24.1113 | + | 30.8611i | 1.29250 | + | 1.65433i | ||||
\(349\) | 10.1573 | − | 17.5930i | 0.543708 | − | 0.941731i | −0.454979 | − | 0.890502i | \(-0.650353\pi\) |
0.998687 | − | 0.0512281i | \(-0.0163136\pi\) | |||||||
\(350\) | −0.183332 | − | 3.80492i | −0.00979953 | − | 0.203381i | ||||
\(351\) | 2.10123 | + | 1.76314i | 0.112156 | + | 0.0941097i | ||||
\(352\) | 25.6437 | − | 63.4704i | 1.36681 | − | 3.38298i | ||||
\(353\) | −5.87536 | − | 2.61588i | −0.312714 | − | 0.139229i | 0.244378 | − | 0.969680i | \(-0.421416\pi\) |
−0.557092 | + | 0.830451i | \(0.688083\pi\) | |||||||
\(354\) | 5.05584 | + | 48.1031i | 0.268715 | + | 2.55665i | ||||
\(355\) | −3.60633 | + | 17.5365i | −0.191404 | + | 0.930739i | ||||
\(356\) | 36.5381 | − | 74.9142i | 1.93652 | − | 3.97045i | ||||
\(357\) | 0.286583 | − | 1.62529i | 0.0151676 | − | 0.0860196i | ||||
\(358\) | 5.78541 | + | 8.57722i | 0.305768 | + | 0.453320i | ||||
\(359\) | −6.04775 | − | 14.9687i | −0.319188 | − | 0.790018i | −0.998425 | − | 0.0560993i | \(-0.982134\pi\) |
0.679237 | − | 0.733919i | \(-0.262311\pi\) | |||||||
\(360\) | 22.7939 | − | 37.0210i | 1.20134 | − | 1.95118i | ||||
\(361\) | 17.8288 | + | 6.56753i | 0.938360 | + | 0.345659i | ||||
\(362\) | 10.7469 | − | 33.0756i | 0.564845 | − | 1.73841i | ||||
\(363\) | 1.33820 | + | 3.31217i | 0.0702374 | + | 0.173844i | ||||
\(364\) | −0.0746430 | + | 2.13749i | −0.00391235 | + | 0.112035i | ||||
\(365\) | −6.20429 | + | 3.63702i | −0.324747 | + | 0.190370i | ||||
\(366\) | −24.3204 | − | 3.41800i | −1.27125 | − | 0.178662i | ||||
\(367\) | 4.83733 | + | 1.38708i | 0.252507 | + | 0.0724051i | 0.399503 | − | 0.916732i | \(-0.369183\pi\) |
−0.146996 | + | 0.989137i | \(0.546961\pi\) | |||||||
\(368\) | −46.8444 | + | 81.1369i | −2.44193 | + | 4.22955i | ||||
\(369\) | 2.30133 | − | 21.8957i | 0.119802 | − | 1.13984i | ||||
\(370\) | −13.0453 | − | 4.14340i | −0.678192 | − | 0.215405i | ||||
\(371\) | 3.25756 | + | 0.227791i | 0.169124 | + | 0.0118263i | ||||
\(372\) | 68.2905 | + | 30.4049i | 3.54070 | + | 1.57642i | ||||
\(373\) | 17.7462 | + | 3.77208i | 0.918865 | + | 0.195311i | 0.642983 | − | 0.765881i | \(-0.277697\pi\) |
0.275882 | + | 0.961191i | \(0.411030\pi\) | |||||||
\(374\) | 23.3283 | − | 8.49082i | 1.20628 | − | 0.439050i | ||||
\(375\) | 23.3358 | − | 9.97176i | 1.20505 | − | 0.514940i | ||||
\(376\) | −6.72446 | + | 38.1363i | −0.346787 | + | 1.96673i | ||||
\(377\) | 0.160815 | − | 4.60513i | 0.00828238 | − | 0.237176i | ||||
\(378\) | −0.354780 | + | 1.42295i | −0.0182479 | + | 0.0731885i | ||||
\(379\) | 4.80963 | − | 3.49440i | 0.247054 | − | 0.179495i | −0.457366 | − | 0.889278i | \(-0.651207\pi\) |
0.704420 | + | 0.709783i | \(0.251207\pi\) | |||||||
\(380\) | −34.6182 | + | 38.8113i | −1.77588 | + | 1.99098i | ||||
\(381\) | 8.75597 | + | 6.36158i | 0.448582 | + | 0.325914i | ||||
\(382\) | 4.34972 | − | 3.64985i | 0.222551 | − | 0.186743i | ||||
\(383\) | −3.14018 | − | 4.65551i | −0.160456 | − | 0.237885i | 0.740233 | − | 0.672350i | \(-0.234715\pi\) |
−0.900689 | + | 0.434465i | \(0.856937\pi\) | |||||||
\(384\) | −56.6326 | − | 30.1121i | −2.89002 | − | 1.53665i | ||||
\(385\) | 1.42230 | − | 1.71800i | 0.0724872 | − | 0.0875574i | ||||
\(386\) | −9.48475 | − | 12.1399i | −0.482761 | − | 0.617906i | ||||
\(387\) | 7.04205 | + | 7.82099i | 0.357968 | + | 0.397563i | ||||
\(388\) | −83.5332 | + | 17.7555i | −4.24076 | + | 0.901400i | ||||
\(389\) | 2.86337 | − | 7.08708i | 0.145178 | − | 0.359329i | −0.837021 | − | 0.547171i | \(-0.815705\pi\) |
0.982199 | + | 0.187842i | \(0.0601492\pi\) | |||||||
\(390\) | −18.5897 | + | 6.17649i | −0.941324 | + | 0.312759i | ||||
\(391\) | −17.1662 | + | 3.64880i | −0.868134 | + | 0.184528i | ||||
\(392\) | 57.1238 | − | 25.4332i | 2.88519 | − | 1.28457i | ||||
\(393\) | 2.61822 | − | 0.952955i | 0.132072 | − | 0.0480702i | ||||
\(394\) | −20.4548 | + | 41.9385i | −1.03050 | + | 2.11283i | ||||
\(395\) | 4.56855 | + | 4.05910i | 0.229868 | + | 0.204235i | ||||
\(396\) | 39.1389 | − | 11.2229i | 1.96681 | − | 0.563973i | ||||
\(397\) | 0.588534 | − | 2.36048i | 0.0295377 | − | 0.118469i | −0.953717 | − | 0.300705i | \(-0.902778\pi\) |
0.983255 | + | 0.182236i | \(0.0583335\pi\) | |||||||
\(398\) | 12.6905 | + | 39.0574i | 0.636118 | + | 1.95777i | ||||
\(399\) | −1.13688 | + | 2.54022i | −0.0569153 | + | 0.127170i | ||||
\(400\) | −31.0644 | − | 61.6077i | −1.55322 | − | 3.08039i | ||||
\(401\) | 5.48119 | − | 4.59927i | 0.273718 | − | 0.229676i | −0.495587 | − | 0.868558i | \(-0.665047\pi\) |
0.769305 | + | 0.638882i | \(0.220603\pi\) | |||||||
\(402\) | −2.51264 | + | 71.9525i | −0.125319 | + | 3.58867i | ||||
\(403\) | −3.85567 | − | 7.90529i | −0.192065 | − | 0.393791i | ||||
\(404\) | −66.0922 | − | 63.8245i | −3.28821 | − | 3.17539i | ||||
\(405\) | −24.0555 | + | 2.68944i | −1.19533 | + | 0.133639i | ||||
\(406\) | 2.25061 | − | 1.00204i | 0.111696 | − | 0.0497303i | ||||
\(407\) | −4.00699 | − | 6.94031i | −0.198619 | − | 0.344018i | ||||
\(408\) | −12.8241 | − | 51.4347i | −0.634888 | − | 2.54640i | ||||
\(409\) | −4.43478 | + | 2.77116i | −0.219286 | + | 0.137025i | −0.635115 | − | 0.772418i | \(-0.719047\pi\) |
0.415829 | + | 0.909443i | \(0.363492\pi\) | |||||||
\(410\) | −49.0776 | − | 37.8231i | −2.42377 | − | 1.86795i | ||||
\(411\) | −16.9203 | − | 3.59652i | −0.834617 | − | 0.177403i | ||||
\(412\) | 0.132113 | + | 3.78321i | 0.00650872 | + | 0.186385i | ||||
\(413\) | 2.19157 | + | 0.308005i | 0.107840 | + | 0.0151559i | ||||
\(414\) | −39.1869 | + | 5.50736i | −1.92593 | + | 0.270672i | ||||
\(415\) | 27.4609 | + | 18.2593i | 1.34800 | + | 0.896313i | ||||
\(416\) | 10.3053 | + | 25.5065i | 0.505260 | + | 1.25056i | ||||
\(417\) | 14.8446 | + | 10.7852i | 0.726941 | + | 0.528154i | ||||
\(418\) | −41.6425 | + | 4.29523i | −2.03680 | + | 0.210087i | ||||
\(419\) | −21.6865 | − | 15.7562i | −1.05946 | − | 0.769740i | −0.0854689 | − | 0.996341i | \(-0.527239\pi\) |
−0.973988 | + | 0.226601i | \(0.927239\pi\) | |||||||
\(420\) | −5.32788 | − | 5.44459i | −0.259974 | − | 0.265669i | ||||
\(421\) | 4.70338 | − | 1.34867i | 0.229229 | − | 0.0657302i | −0.159057 | − | 0.987269i | \(-0.550845\pi\) |
0.388285 | + | 0.921539i | \(0.373068\pi\) | |||||||
\(422\) | −5.99872 | − | 12.2992i | −0.292013 | − | 0.598716i | ||||
\(423\) | −8.14383 | + | 4.33015i | −0.395966 | + | 0.210539i | ||||
\(424\) | 98.5620 | − | 35.8736i | 4.78659 | − | 1.74218i | ||||
\(425\) | 4.68249 | − | 12.0463i | 0.227134 | − | 0.584333i | ||||
\(426\) | 24.6111 | + | 42.6277i | 1.19241 | + | 2.06532i | ||||
\(427\) | −0.420956 | + | 1.04190i | −0.0203715 | + | 0.0504212i | ||||
\(428\) | 34.0008 | + | 2.37757i | 1.64349 | + | 0.114924i | ||||
\(429\) | −10.4777 | − | 4.66496i | −0.505867 | − | 0.225226i | ||||
\(430\) | 29.1339 | − | 5.33619i | 1.40496 | − | 0.257334i | ||||
\(431\) | 2.95082 | + | 0.846135i | 0.142136 | + | 0.0407569i | 0.345951 | − | 0.938253i | \(-0.387556\pi\) |
−0.203815 | + | 0.979009i | \(0.565334\pi\) | |||||||
\(432\) | 4.61246 | + | 26.1586i | 0.221917 | + | 1.25855i | ||||
\(433\) | −8.52126 | + | 8.22889i | −0.409506 | + | 0.395455i | −0.870676 | − | 0.491856i | \(-0.836319\pi\) |
0.461171 | + | 0.887312i | \(0.347430\pi\) | |||||||
\(434\) | 2.89510 | − | 3.70556i | 0.138969 | − | 0.177873i | ||||
\(435\) | 11.4787 | + | 11.7301i | 0.550360 | + | 0.562416i | ||||
\(436\) | −3.30593 | − | 10.1746i | −0.158325 | − | 0.487275i | ||||
\(437\) | 29.5742 | + | 1.09014i | 1.41473 | + | 0.0521483i | ||||
\(438\) | −6.11000 | + | 18.8047i | −0.291947 | + | 0.898521i | ||||
\(439\) | −10.1752 | − | 6.35815i | −0.485634 | − | 0.303458i | 0.264916 | − | 0.964272i | \(-0.414656\pi\) |
−0.750550 | + | 0.660814i | \(0.770211\pi\) | |||||||
\(440\) | 19.2899 | − | 68.9923i | 0.919610 | − | 3.28908i | ||||
\(441\) | 13.1501 | + | 6.99203i | 0.626195 | + | 0.332954i | ||||
\(442\) | −4.37341 | + | 8.96682i | −0.208022 | + | 0.426508i | ||||
\(443\) | 12.2712 | − | 4.46635i | 0.583023 | − | 0.212203i | −0.0336352 | − | 0.999434i | \(-0.510708\pi\) |
0.616658 | + | 0.787231i | \(0.288486\pi\) | |||||||
\(444\) | −25.0052 | + | 11.1331i | −1.18670 | + | 0.528351i | ||||
\(445\) | 11.7290 | − | 32.9011i | 0.556006 | − | 1.55966i | ||||
\(446\) | −53.6287 | − | 3.75009i | −2.53939 | − | 0.177572i | ||||
\(447\) | −31.6189 | − | 2.21101i | −1.49552 | − | 0.104577i | ||||
\(448\) | −4.64689 | + | 5.16089i | −0.219545 | + | 0.243829i | ||||
\(449\) | −10.0008 | + | 17.3219i | −0.471967 | + | 0.817472i | −0.999486 | − | 0.0320722i | \(-0.989789\pi\) |
0.527518 | + | 0.849544i | \(0.323123\pi\) | |||||||
\(450\) | 12.4274 | − | 26.3600i | 0.585831 | − | 1.24262i | ||||
\(451\) | −6.29963 | − | 35.7270i | −0.296638 | − | 1.68232i | ||||
\(452\) | −106.817 | + | 15.0121i | −5.02423 | + | 0.706110i | ||||
\(453\) | −42.3119 | + | 12.1328i | −1.98799 | + | 0.570046i | ||||
\(454\) | −1.97012 | + | 7.90173i | −0.0924624 | + | 0.370846i | ||||
\(455\) | 0.0684401 | + | 0.893684i | 0.00320852 | + | 0.0418966i | ||||
\(456\) | −0.173222 | + | 89.3898i | −0.00811187 | + | 4.18606i | ||||
\(457\) | −14.6933 | −0.687323 | −0.343662 | − | 0.939094i | \(-0.611667\pi\) | ||||
−0.343662 | + | 0.939094i | \(0.611667\pi\) | |||||||
\(458\) | −52.7023 | + | 3.68531i | −2.46262 | + | 0.172203i | ||||
\(459\) | −3.06329 | + | 3.92083i | −0.142982 | + | 0.183009i | ||||
\(460\) | −32.4575 | + | 74.2190i | −1.51334 | + | 3.46048i | ||||
\(461\) | −15.4812 | + | 8.23149i | −0.721031 | + | 0.383379i | −0.789070 | − | 0.614304i | \(-0.789437\pi\) |
0.0680389 | + | 0.997683i | \(0.478326\pi\) | |||||||
\(462\) | −0.214002 | − | 6.12821i | −0.00995627 | − | 0.285110i | ||||
\(463\) | 3.59415 | + | 3.99171i | 0.167035 | + | 0.185511i | 0.820851 | − | 0.571143i | \(-0.193500\pi\) |
−0.653816 | + | 0.756653i | \(0.726833\pi\) | |||||||
\(464\) | 29.8579 | − | 33.1606i | 1.38612 | − | 1.53944i | ||||
\(465\) | 29.8569 | + | 9.48304i | 1.38458 | + | 0.439765i | ||||
\(466\) | 53.1333 | − | 33.2014i | 2.46135 | − | 1.53802i | ||||
\(467\) | −0.140860 | + | 1.34019i | −0.00651823 | + | 0.0620168i | −0.997297 | − | 0.0734692i | \(-0.976593\pi\) |
0.990779 | + | 0.135486i | \(0.0432596\pi\) | |||||||
\(468\) | −8.18122 | + | 14.1703i | −0.378177 | + | 0.655022i | ||||
\(469\) | 3.16662 | + | 0.908015i | 0.146221 | + | 0.0419282i | ||||
\(470\) | −1.63928 | + | 25.9061i | −0.0756144 | + | 1.19496i | ||||
\(471\) | 17.9167 | + | 36.7346i | 0.825556 | + | 1.69264i | ||||
\(472\) | 68.3307 | − | 19.5935i | 3.14518 | − | 0.901865i | ||||
\(473\) | 14.7065 | + | 9.18965i | 0.676206 | + | 0.422541i | ||||
\(474\) | 16.8019 | 0.771736 | ||||||||
\(475\) | −12.6104 | + | 17.7758i | −0.578605 | + | 0.815608i | ||||
\(476\) | −3.87967 | −0.177824 | ||||||||
\(477\) | 21.1861 | + | 13.2385i | 0.970044 | + | 0.606151i | ||||
\(478\) | 7.11733 | − | 2.04086i | 0.325539 | − | 0.0933469i | ||||
\(479\) | 2.74723 | + | 5.63266i | 0.125524 | + | 0.257363i | 0.952297 | − | 0.305174i | \(-0.0987145\pi\) |
−0.826773 | + | 0.562536i | \(0.809826\pi\) | |||||||
\(480\) | −91.0874 | − | 36.1022i | −4.15755 | − | 1.64783i | ||||
\(481\) | 3.09578 | + | 0.887701i | 0.141156 | + | 0.0404757i | ||||
\(482\) | 33.7348 | − | 58.4305i | 1.53658 | − | 2.66143i | ||||
\(483\) | −0.453112 | + | 4.31107i | −0.0206173 | + | 0.196161i | ||||
\(484\) | 7.12167 | − | 4.45011i | 0.323712 | − | 0.202278i | ||||
\(485\) | −33.9626 | + | 11.2842i | −1.54216 | + | 0.512389i | ||||
\(486\) | −34.0639 | + | 37.8318i | −1.54517 | + | 1.71608i | ||||
\(487\) | −18.1168 | − | 20.1207i | −0.820950 | − | 0.911757i | 0.176414 | − | 0.984316i | \(-0.443550\pi\) |
−0.997364 | + | 0.0725587i | \(0.976884\pi\) | |||||||
\(488\) | 1.25966 | + | 36.0719i | 0.0570220 | + | 1.63290i | ||||
\(489\) | 7.18447 | − | 3.82005i | 0.324893 | − | 0.172749i | ||||
\(490\) | 36.1600 | − | 21.1974i | 1.63354 | − | 0.957599i | ||||
\(491\) | −25.2645 | + | 32.3371i | −1.14017 | + | 1.45935i | −0.272543 | + | 0.962144i | \(0.587865\pi\) |
−0.867630 | + | 0.497211i | \(0.834357\pi\) | |||||||
\(492\) | −123.606 | + | 8.64335i | −5.57258 | + | 0.389673i | ||||
\(493\) | 8.35857 | 0.376451 | ||||||||
\(494\) | 10.8389 | − | 12.8665i | 0.487664 | − | 0.578893i | ||||
\(495\) | 15.7777 | − | 6.49644i | 0.709157 | − | 0.291993i | ||||
\(496\) | 20.6051 | − | 82.6426i | 0.925197 | − | 3.71076i | ||||
\(497\) | 2.16495 | − | 0.620789i | 0.0971112 | − | 0.0278462i | ||||
\(498\) | 89.7827 | − | 12.6181i | 4.02326 | − | 0.565432i | ||||
\(499\) | 1.01625 | + | 5.76341i | 0.0454934 | + | 0.258006i | 0.999069 | − | 0.0431490i | \(-0.0137390\pi\) |
−0.953575 | + | 0.301155i | \(0.902628\pi\) | |||||||
\(500\) | −32.6114 | − | 49.9536i | −1.45842 | − | 2.23399i | ||||
\(501\) | 11.7838 | − | 20.4101i | 0.526461 | − | 0.911857i | ||||
\(502\) | −21.0124 | + | 23.3367i | −0.937831 | + | 1.04157i | ||||
\(503\) | 40.6706 | + | 2.84396i | 1.81341 | + | 0.126806i | 0.935792 | − | 0.352552i | \(-0.114686\pi\) |
0.877620 | + | 0.479358i | \(0.159130\pi\) | |||||||
\(504\) | −5.45575 | − | 0.381503i | −0.243018 | − | 0.0169935i | ||||
\(505\) | −30.4975 | − | 23.5038i | −1.35712 | − | 1.04590i | ||||
\(506\) | −59.5688 | + | 26.5218i | −2.64816 | + | 1.17904i | ||||
\(507\) | −23.3967 | + | 8.51569i | −1.03908 | + | 0.378195i | ||||
\(508\) | 11.1533 | − | 22.8676i | 0.494847 | − | 1.01459i | ||||
\(509\) | 9.69280 | + | 5.15375i | 0.429626 | + | 0.228436i | 0.670178 | − | 0.742200i | \(-0.266218\pi\) |
−0.240553 | + | 0.970636i | \(0.577329\pi\) | |||||||
\(510\) | −12.3738 | − | 33.3092i | −0.547923 | − | 1.47495i | ||||
\(511\) | 0.767227 | + | 0.479417i | 0.0339401 | + | 0.0212081i | ||||
\(512\) | −5.26693 | + | 16.2100i | −0.232768 | + | 0.716386i | ||||
\(513\) | 6.62172 | − | 5.15282i | 0.292356 | − | 0.227503i | ||||
\(514\) | 3.80501 | + | 11.7106i | 0.167832 | + | 0.516533i | ||||
\(515\) | 0.231177 | + | 1.56945i | 0.0101869 | + | 0.0691584i | ||||
\(516\) | 36.4657 | − | 46.6739i | 1.60531 | − | 2.05470i | ||||
\(517\) | −10.9327 | + | 10.5576i | −0.480821 | + | 0.464324i | ||||
\(518\) | 0.298994 | + | 1.69568i | 0.0131371 | + | 0.0745040i | ||||
\(519\) | 24.0995 | + | 6.91042i | 1.05785 | + | 0.303334i | ||||
\(520\) | 13.6836 | + | 25.3291i | 0.600064 | + | 1.11075i | ||||
\(521\) | 30.5707 | + | 13.6110i | 1.33933 | + | 0.596307i | 0.946321 | − | 0.323229i | \(-0.104768\pi\) |
0.393006 | + | 0.919536i | \(0.371435\pi\) | |||||||
\(522\) | 18.8014 | + | 1.31472i | 0.822914 | + | 0.0575438i | ||||
\(523\) | 13.0725 | − | 32.3555i | 0.571619 | − | 1.41481i | −0.313565 | − | 0.949567i | \(-0.601523\pi\) |
0.885184 | − | 0.465240i | \(-0.154032\pi\) | |||||||
\(524\) | −3.27496 | − | 5.67239i | −0.143067 | − | 0.247800i | ||||
\(525\) | −2.47243 | − | 2.01945i | −0.107906 | − | 0.0881359i | ||||
\(526\) | −10.0034 | + | 3.64093i | −0.436167 | + | 0.158752i | ||||
\(527\) | 14.0870 | − | 7.49018i | 0.613638 | − | 0.326277i | ||||
\(528\) | −48.6876 | − | 99.8244i | −2.11886 | − | 4.34430i | ||||
\(529\) | 22.2011 | − | 6.36608i | 0.965267 | − | 0.276786i | ||||
\(530\) | 62.9873 | − | 31.2388i | 2.73599 | − | 1.35693i | ||||
\(531\) | 13.6974 | + | 9.95176i | 0.594418 | + | 0.431870i | ||||
\(532\) | 6.34491 | + | 1.59503i | 0.275087 | + | 0.0691533i | ||||
\(533\) | 11.7946 | + | 8.56928i | 0.510881 | + | 0.371177i | ||||
\(534\) | −35.9740 | − | 89.0388i | −1.55675 | − | 3.85309i | ||||
\(535\) | 14.2711 | − | 0.592966i | 0.616994 | − | 0.0256362i | ||||
\(536\) | 104.780 | − | 14.7259i | 4.52582 | − | 0.636062i | ||||
\(537\) | 8.58592 | + | 1.20667i | 0.370510 | + | 0.0520718i | ||||
\(538\) | 1.37376 | + | 39.3393i | 0.0592270 | + | 1.69604i | ||||
\(539\) | 24.0049 | + | 5.10239i | 1.03396 | + | 0.219776i | ||||
\(540\) | 6.47638 | + | 22.0343i | 0.278699 | + | 0.948204i | ||||
\(541\) | −0.857113 | + | 0.535584i | −0.0368502 | + | 0.0230265i | −0.548219 | − | 0.836335i | \(-0.684694\pi\) |
0.511369 | + | 0.859361i | \(0.329139\pi\) | |||||||
\(542\) | −18.4413 | − | 73.9641i | −0.792123 | − | 3.17703i | ||||
\(543\) | −14.5725 | − | 25.2402i | −0.625364 | − | 1.08316i | ||||
\(544\) | −45.5870 | + | 20.2966i | −1.95453 | + | 0.870212i | ||||
\(545\) | −1.85058 | − | 4.08351i | −0.0792702 | − | 0.174918i | ||||
\(546\) | 1.77261 | + | 1.71179i | 0.0758607 | + | 0.0732578i | ||||
\(547\) | −5.34559 | − | 10.9601i | −0.228561 | − | 0.468619i | 0.753435 | − | 0.657523i | \(-0.228396\pi\) |
−0.981996 | + | 0.188904i | \(0.939507\pi\) | |||||||
\(548\) | −1.41918 | + | 40.6400i | −0.0606244 | + | 1.73606i | ||||
\(549\) | −6.58558 | + | 5.52595i | −0.281066 | + | 0.235842i | ||||
\(550\) | 7.71189 | − | 47.3974i | 0.328836 | − | 2.02103i | ||||
\(551\) | −13.6698 | − | 3.43641i | −0.582353 | − | 0.146396i | ||||
\(552\) | 43.0254 | + | 132.419i | 1.83128 | + | 5.63611i | ||||
\(553\) | 0.185985 | − | 0.745945i | 0.00790888 | − | 0.0317208i | ||||
\(554\) | −42.1732 | + | 12.0930i | −1.79177 | + | 0.513781i | ||||
\(555\) | −9.89563 | + | 5.80092i | −0.420046 | + | 0.246235i | ||||
\(556\) | 18.9089 | − | 38.7690i | 0.801916 | − | 1.64417i | ||||
\(557\) | 6.51051 | − | 2.36963i | 0.275859 | − | 0.100404i | −0.200386 | − | 0.979717i | \(-0.564220\pi\) |
0.476245 | + | 0.879313i | \(0.341997\pi\) | |||||||
\(558\) | 32.8648 | − | 14.6323i | 1.39128 | − | 0.619436i | ||||
\(559\) | −6.81670 | + | 1.44893i | −0.288316 | + | 0.0612834i | ||||
\(560\) | −5.05511 | + | 7.05550i | −0.213617 | + | 0.298149i | ||||
\(561\) | 7.79355 | − | 19.2897i | 0.329044 | − | 0.814412i | ||||
\(562\) | 11.4525 | − | 2.43431i | 0.483096 | − | 0.102685i | ||||
\(563\) | −12.3156 | − | 13.6779i | −0.519043 | − | 0.576455i | 0.425453 | − | 0.904981i | \(-0.360115\pi\) |
−0.944495 | + | 0.328526i | \(0.893448\pi\) | |||||||
\(564\) | 31.9587 | + | 40.9053i | 1.34571 | + | 1.72242i | ||||
\(565\) | −43.7872 | + | 11.2258i | −1.84214 | + | 0.472272i | ||||
\(566\) | 28.5625 | + | 15.1870i | 1.20057 | + | 0.638356i | ||||
\(567\) | 1.70272 | + | 2.52438i | 0.0715074 | + | 0.106014i | ||||
\(568\) | 55.4156 | − | 46.4992i | 2.32518 | − | 1.95106i | ||||
\(569\) | 13.9995 | + | 10.1712i | 0.586888 | + | 0.426399i | 0.841201 | − | 0.540723i | \(-0.181849\pi\) |
−0.254313 | + | 0.967122i | \(0.581849\pi\) | |||||||
\(570\) | 6.54227 | + | 59.5618i | 0.274026 | + | 2.49477i | ||||
\(571\) | −5.65256 | + | 4.10682i | −0.236552 | + | 0.171865i | −0.699746 | − | 0.714392i | \(-0.746703\pi\) |
0.463194 | + | 0.886257i | \(0.346703\pi\) | |||||||
\(572\) | −6.52266 | + | 26.1609i | −0.272726 | + | 1.09384i | ||||
\(573\) | 0.166069 | − | 4.75559i | 0.00693763 | − | 0.198668i | ||||
\(574\) | −1.35351 | + | 7.67611i | −0.0564942 | + | 0.320395i | ||||
\(575\) | −10.0618 | + | 32.4215i | −0.419608 | + | 1.35207i | ||||
\(576\) | −49.9247 | + | 18.1711i | −2.08020 | + | 0.757129i | ||||
\(577\) | 31.4203 | + | 6.67859i | 1.30804 | + | 0.278033i | 0.808624 | − | 0.588326i | \(-0.200213\pi\) |
0.499421 | + | 0.866360i | \(0.333546\pi\) | |||||||
\(578\) | 25.5310 | + | 11.3671i | 1.06195 | + | 0.472810i | ||||
\(579\) | −12.8791 | − | 0.900596i | −0.535238 | − | 0.0374275i | ||||
\(580\) | 22.4705 | − | 31.3624i | 0.933035 | − | 1.30225i | ||||
\(581\) | 0.433629 | − | 4.12571i | 0.0179900 | − | 0.171163i | ||||
\(582\) | −49.1965 | + | 85.2108i | −2.03926 | + | 3.53210i | ||||
\(583\) | 39.5706 | + | 11.3467i | 1.63885 | + | 0.469932i | ||||
\(584\) | 28.7758 | + | 4.04418i | 1.19075 | + | 0.167349i | ||||
\(585\) | −2.74745 | + | 6.28248i | −0.113593 | + | 0.259749i | ||||
\(586\) | −0.121765 | + | 3.48689i | −0.00503006 | + | 0.144042i | ||||
\(587\) | 6.18343 | + | 15.3045i | 0.255217 | + | 0.631685i | 0.999339 | − | 0.0363592i | \(-0.0115760\pi\) |
−0.744121 | + | 0.668044i | \(0.767132\pi\) | |||||||
\(588\) | 25.9018 | − | 79.7176i | 1.06817 | − | 3.28750i | ||||
\(589\) | −26.1176 | + | 6.45811i | −1.07616 | + | 0.266102i | ||||
\(590\) | 44.0606 | − | 18.1418i | 1.81395 | − | 0.746888i | ||||
\(591\) | 14.6484 | + | 36.2560i | 0.602554 | + | 1.49137i | ||||
\(592\) | 17.4394 | + | 25.8550i | 0.716757 | + | 1.06264i | ||||
\(593\) | 6.88262 | − | 39.0333i | 0.282635 | − | 1.60290i | −0.430977 | − | 0.902363i | \(-0.641831\pi\) |
0.713612 | − | 0.700541i | \(-0.247058\pi\) | |||||||
\(594\) | −8.10412 | + | 16.6159i | −0.332516 | + | 0.681759i | ||||
\(595\) | −1.61578 | + | 0.180647i | −0.0662404 | + | 0.00740580i | ||||
\(596\) | 7.78853 | + | 74.1030i | 0.319031 | + | 3.03538i | ||||
\(597\) | 31.4405 | + | 13.9982i | 1.28677 | + | 0.572908i | ||||
\(598\) | 9.81624 | − | 24.2960i | 0.401416 | − | 0.993539i | ||||
\(599\) | 29.6621 | + | 24.8894i | 1.21196 | + | 1.01695i | 0.999206 | + | 0.0398481i | \(0.0126874\pi\) |
0.212753 | + | 0.977106i | \(0.431757\pi\) | |||||||
\(600\) | −98.9308 | − | 26.9558i | −4.03883 | − | 1.10046i | ||||
\(601\) | −14.0445 | + | 24.3258i | −0.572887 | + | 0.992269i | 0.423381 | + | 0.905952i | \(0.360843\pi\) |
−0.996268 | + | 0.0863174i | \(0.972490\pi\) | |||||||
\(602\) | −2.29391 | − | 2.93607i | −0.0934927 | − | 0.119665i | ||||
\(603\) | 18.1287 | + | 17.5067i | 0.738259 | + | 0.712928i | ||||
\(604\) | 45.3605 | + | 93.0028i | 1.84569 | + | 3.78423i | ||||
\(605\) | 2.75877 | − | 2.18495i | 0.112160 | − | 0.0888310i | ||||
\(606\) | −105.601 | + | 7.38432i | −4.28973 | + | 0.299967i | ||||
\(607\) | 26.3215 | 1.06836 | 0.534179 | − | 0.845371i | \(-0.320621\pi\) | ||||
0.534179 | + | 0.845371i | \(0.320621\pi\) | |||||||
\(608\) | 82.8986 | − | 14.4517i | 3.36198 | − | 0.586093i | ||||
\(609\) | 0.637991 | − | 1.96354i | 0.0258527 | − | 0.0795665i | ||||
\(610\) | 3.52574 | + | 23.9362i | 0.142753 | + | 0.969148i | ||||
\(611\) | 0.213154 | − | 6.10395i | 0.00862331 | − | 0.246939i | ||||
\(612\) | −26.2065 | − | 13.9342i | −1.05933 | − | 0.563257i | ||||
\(613\) | 4.78941 | + | 0.673108i | 0.193443 | + | 0.0271866i | 0.235229 | − | 0.971940i | \(-0.424416\pi\) |
−0.0417863 | + | 0.999127i | \(0.513305\pi\) | |||||||
\(614\) | 21.2621 | + | 27.2142i | 0.858067 | + | 1.09828i | ||||
\(615\) | −51.0760 | + | 9.35510i | −2.05958 | + | 0.377234i | ||||
\(616\) | −8.81493 | + | 1.87367i | −0.355164 | + | 0.0754924i | ||||
\(617\) | −4.00916 | − | 16.0799i | −0.161403 | − | 0.647351i | −0.995419 | − | 0.0956107i | \(-0.969520\pi\) |
0.834016 | − | 0.551740i | \(-0.186036\pi\) | |||||||
\(618\) | 3.34109 | + | 2.80351i | 0.134399 | + | 0.112774i | ||||
\(619\) | 1.31434 | − | 12.5051i | 0.0528278 | − | 0.502623i | −0.935832 | − | 0.352447i | \(-0.885350\pi\) |
0.988659 | − | 0.150175i | \(-0.0479838\pi\) | |||||||
\(620\) | 9.76610 | − | 72.9921i | 0.392216 | − | 2.93143i | ||||
\(621\) | 7.30800 | − | 10.8345i | 0.293260 | − | 0.434775i | ||||
\(622\) | −11.9141 | − | 11.5053i | −0.477711 | − | 0.461320i | ||||
\(623\) | −4.35122 | + | 0.611524i | −0.174328 | + | 0.0245002i | ||||
\(624\) | 41.9414 | + | 15.2654i | 1.67900 | + | 0.611106i | ||||
\(625\) | −15.9077 | − | 19.2859i | −0.636309 | − | 0.771435i | ||||
\(626\) | −60.6443 | −2.42383 | ||||||||
\(627\) | −20.6762 | + | 28.3427i | −0.825729 | + | 1.13190i | ||||
\(628\) | 77.7298 | − | 56.4740i | 3.10176 | − | 2.25356i | ||||
\(629\) | −1.41328 | + | 5.66837i | −0.0563513 | + | 0.226013i | ||||
\(630\) | −3.66287 | + | 0.152193i | −0.145932 | + | 0.00606350i | ||||
\(631\) | −10.6891 | + | 10.3224i | −0.425528 | + | 0.410927i | −0.876341 | − | 0.481691i | \(-0.840023\pi\) |
0.450814 | + | 0.892618i | \(0.351134\pi\) | |||||||
\(632\) | −4.28790 | − | 24.3179i | −0.170563 | − | 0.967313i | ||||
\(633\) | −11.0235 | − | 3.16094i | −0.438145 | − | 0.125636i | ||||
\(634\) | 1.01672 | + | 1.12918i | 0.0403790 | + | 0.0448454i | ||||
\(635\) | 3.58027 | − | 10.0431i | 0.142079 | − | 0.398547i | ||||
\(636\) | 52.6695 | − | 130.362i | 2.08848 | − | 5.16918i | ||||
\(637\) | −8.36365 | + | 5.22619i | −0.331380 | + | 0.207069i | ||||
\(638\) | 30.3777 | − | 6.45697i | 1.20266 | − | 0.255634i | ||||
\(639\) | 16.8534 | + | 3.58231i | 0.666712 | + | 0.141714i | ||||
\(640\) | −12.7280 | + | 61.8923i | −0.503118 | + | 2.44651i | ||||
\(641\) | −10.5344 | − | 1.48051i | −0.416083 | − | 0.0584766i | −0.0719741 | − | 0.997406i | \(-0.522930\pi\) |
−0.344108 | + | 0.938930i | \(0.611819\pi\) | |||||||
\(642\) | 28.2483 | − | 27.2790i | 1.11487 | − | 1.07662i | ||||
\(643\) | −27.4600 | − | 9.99463i | −1.08292 | − | 0.394150i | −0.261925 | − | 0.965088i | \(-0.584357\pi\) |
−0.820993 | + | 0.570939i | \(0.806579\pi\) | |||||||
\(644\) | 10.1655 | − | 0.710838i | 0.400575 | − | 0.0280109i | ||||
\(645\) | 13.0137 | − | 21.1364i | 0.512414 | − | 0.832243i | ||||
\(646\) | 24.0112 | + | 18.8347i | 0.944708 | + | 0.741040i | ||||
\(647\) | 6.24880 | − | 4.54002i | 0.245666 | − | 0.178487i | −0.458138 | − | 0.888881i | \(-0.651483\pi\) |
0.703804 | + | 0.710394i | \(0.251483\pi\) | |||||||
\(648\) | 82.9417 | + | 51.8277i | 3.25826 | + | 2.03598i | ||||
\(649\) | 26.2161 | + | 9.54188i | 1.02907 | + | 0.374552i | ||||
\(650\) | 11.0021 | + | 15.8544i | 0.431537 | + | 0.621860i | ||||
\(651\) | −0.684311 | − | 3.88092i | −0.0268203 | − | 0.152105i | ||||
\(652\) | −11.7765 | − | 15.0732i | −0.461204 | − | 0.590314i | ||||
\(653\) | −0.217883 | − | 2.07302i | −0.00852643 | − | 0.0811236i | 0.989431 | − | 0.145003i | \(-0.0463193\pi\) |
−0.997958 | + | 0.0638797i | \(0.979653\pi\) | |||||||
\(654\) | −11.2603 | − | 5.01341i | −0.440313 | − | 0.196040i | ||||
\(655\) | −1.62805 | − | 2.20991i | −0.0636132 | − | 0.0863482i | ||||
\(656\) | 34.1541 | + | 136.985i | 1.33349 | + | 5.34835i | ||||
\(657\) | 3.46060 | + | 5.99394i | 0.135011 | + | 0.233846i | ||||
\(658\) | 2.98311 | − | 1.32817i | 0.116294 | − | 0.0517773i | ||||
\(659\) | 0.308993 | + | 8.84841i | 0.0120367 | + | 0.344685i | 0.990437 | + | 0.137966i | \(0.0440565\pi\) |
−0.978400 | + | 0.206719i | \(0.933721\pi\) | |||||||
\(660\) | −51.4260 | − | 81.0992i | −2.00175 | − | 3.15678i | ||||
\(661\) | −4.88954 | + | 0.687180i | −0.190181 | + | 0.0267282i | −0.233621 | − | 0.972328i | \(-0.575057\pi\) |
0.0434394 | + | 0.999056i | \(0.486168\pi\) | |||||||
\(662\) | −38.0891 | + | 48.7518i | −1.48037 | + | 1.89479i | ||||
\(663\) | 3.13196 | + | 7.75186i | 0.121635 | + | 0.301057i | ||||
\(664\) | −41.1754 | − | 126.725i | −1.59792 | − | 4.91788i | ||||
\(665\) | 2.71675 | + | 0.368852i | 0.105351 | + | 0.0143035i | ||||
\(666\) | −4.07055 | + | 12.5279i | −0.157731 | + | 0.485445i | ||||
\(667\) | −21.9010 | + | 1.53147i | −0.848010 | + | 0.0592986i | ||||
\(668\) | −52.0614 | − | 18.9488i | −2.01432 | − | 0.733151i | ||||
\(669\) | −32.4080 | + | 31.2961i | −1.25297 | + | 1.20998i | ||||
\(670\) | 68.7048 | − | 17.6139i | 2.65430 | − | 0.680484i | ||||
\(671\) | −7.92141 | + | 11.7440i | −0.305803 | + | 0.453371i | ||||
\(672\) | 1.28839 | + | 12.2582i | 0.0497006 | + | 0.472869i | ||||
\(673\) | 1.70291 | − | 1.89128i | 0.0656425 | − | 0.0729033i | −0.709429 | − | 0.704777i | \(-0.751047\pi\) |
0.775072 | + | 0.631874i | \(0.217714\pi\) | |||||||
\(674\) | −63.0738 | − | 52.9252i | −2.42951 | − | 2.03860i | ||||
\(675\) | 3.72320 | + | 8.87512i | 0.143306 | + | 0.341603i | ||||
\(676\) | 29.2653 | + | 50.6890i | 1.12559 | + | 1.94958i | ||||
\(677\) | −30.1956 | − | 6.41828i | −1.16051 | − | 0.246675i | −0.412879 | − | 0.910786i | \(-0.635477\pi\) |
−0.747634 | + | 0.664111i | \(0.768810\pi\) | |||||||
\(678\) | −69.4956 | + | 103.031i | −2.66896 | + | 3.95690i | ||||
\(679\) | 3.23849 | + | 3.12737i | 0.124282 | + | 0.120018i | ||||
\(680\) | −45.0515 | + | 26.4096i | −1.72765 | + | 1.01276i | ||||
\(681\) | 3.81629 | + | 5.65788i | 0.146241 | + | 0.216811i | ||||
\(682\) | 45.4104 | − | 38.1038i | 1.73885 | − | 1.45907i | ||||
\(683\) | −36.8727 | − | 26.7896i | −1.41090 | − | 1.02508i | −0.993191 | − | 0.116494i | \(-0.962835\pi\) |
−0.417705 | − | 0.908583i | \(-0.637165\pi\) | |||||||
\(684\) | 37.1300 | + | 33.5625i | 1.41970 | + | 1.28329i | ||||
\(685\) | 1.30125 | + | 16.9915i | 0.0497181 | + | 0.649214i | ||||
\(686\) | −8.99426 | − | 5.62024i | −0.343403 | − | 0.214582i | ||||
\(687\) | −27.2579 | + | 34.8886i | −1.03995 | + | 1.33108i | ||||
\(688\) | −59.5864 | − | 31.6826i | −2.27171 | − | 1.20789i | ||||
\(689\) | −14.6065 | + | 7.76643i | −0.556464 | + | 0.295877i | ||||
\(690\) | 38.5247 | + | 85.0090i | 1.46661 | + | 3.23624i | ||||
\(691\) | −19.8783 | − | 22.0771i | −0.756207 | − | 0.839853i | 0.235025 | − | 0.971989i | \(-0.424483\pi\) |
−0.991232 | + | 0.132137i | \(0.957816\pi\) | |||||||
\(692\) | 6.16050 | − | 58.6133i | 0.234187 | − | 2.22814i | ||||
\(693\) | −1.64428 | − | 1.37971i | −0.0624609 | − | 0.0524110i | ||||
\(694\) | 0.773654 | + | 3.10296i | 0.0293675 | + | 0.117787i | ||||
\(695\) | 6.06987 | − | 17.0267i | 0.230243 | − | 0.645859i | ||||
\(696\) | −6.93168 | − | 65.9506i | −0.262745 | − | 2.49985i | ||||
\(697\) | −14.7881 | + | 21.9243i | −0.560139 | + | 0.830441i | ||||
\(698\) | −48.5812 | + | 25.8311i | −1.83882 | + | 0.977720i | ||||
\(699\) | 9.11755 | − | 51.7082i | 0.344857 | − | 1.95578i | ||||
\(700\) | −3.66591 | + | 6.54824i | −0.138558 | + | 0.247500i | ||||
\(701\) | 10.9622 | − | 9.19838i | 0.414036 | − | 0.347418i | −0.411853 | − | 0.911250i | \(-0.635118\pi\) |
0.825889 | + | 0.563833i | \(0.190674\pi\) | |||||||
\(702\) | −2.29576 | − | 7.06563i | −0.0866480 | − | 0.266675i | ||||
\(703\) | 4.64173 | − | 8.68915i | 0.175066 | − | 0.327718i | ||||
\(704\) | −70.8253 | + | 51.4576i | −2.66933 | + | 1.93938i | ||||
\(705\) | 15.2146 | + | 15.5479i | 0.573015 | + | 0.585567i | ||||
\(706\) | 9.74070 | + | 14.4412i | 0.366596 | + | 0.543501i | ||||
\(707\) | −0.841086 | + | 4.77003i | −0.0316323 | + | 0.179396i | ||||
\(708\) | 41.7712 | − | 85.6437i | 1.56986 | − | 3.21869i | ||||
\(709\) | 1.15033 | + | 32.9410i | 0.0432014 | + | 1.23713i | 0.806561 | + | 0.591151i | \(0.201326\pi\) |
−0.763359 | + | 0.645974i | \(0.776451\pi\) | |||||||
\(710\) | 33.4530 | − | 35.1037i | 1.25547 | − | 1.31742i | ||||
\(711\) | 3.93543 | − | 4.37073i | 0.147590 | − | 0.163915i | ||||
\(712\) | −119.688 | + | 74.7893i | −4.48549 | + | 2.80285i | ||||
\(713\) | −35.5381 | + | 22.2067i | −1.33091 | + | 0.831647i | ||||
\(714\) | −2.99099 | + | 3.32183i | −0.111935 | + | 0.124316i | ||||
\(715\) | −1.49839 | + | 11.1990i | −0.0560367 | + | 0.418820i | ||||
\(716\) | −0.711325 | − | 20.3697i | −0.0265835 | − | 0.761251i | ||||
\(717\) | 2.72007 | − | 5.57696i | 0.101583 | − | 0.208275i | ||||
\(718\) | −7.59299 | + | 43.0620i | −0.283368 | + | 1.60706i | ||||
\(719\) | −13.6786 | − | 20.2794i | −0.510128 | − | 0.756295i | 0.482708 | − | 0.875781i | \(-0.339653\pi\) |
−0.992836 | + | 0.119486i | \(0.961875\pi\) | |||||||
\(720\) | −59.4868 | + | 29.5027i | −2.21694 | + | 1.09950i | ||||
\(721\) | 0.161449 | − | 0.117300i | 0.00601269 | − | 0.00436848i | ||||
\(722\) | −31.5251 | − | 40.6743i | −1.17324 | − | 1.51374i | ||||
\(723\) | −17.4724 | − | 53.7745i | −0.649806 | − | 1.99990i | ||||
\(724\) | −52.4846 | + | 44.0398i | −1.95057 | + | 1.63673i | ||||
\(725\) | 7.89803 | − | 14.1079i | 0.293325 | − | 0.523954i | ||||
\(726\) | 1.68012 | − | 9.52845i | 0.0623552 | − | 0.353634i | ||||
\(727\) | −9.57213 | + | 5.08959i | −0.355010 | + | 0.188762i | −0.637392 | − | 0.770540i | \(-0.719987\pi\) |
0.282381 | + | 0.959302i | \(0.408876\pi\) | |||||||
\(728\) | 2.02515 | − | 3.00240i | 0.0750570 | − | 0.111277i | ||||
\(729\) | 1.06488 | + | 10.1317i | 0.0394402 | + | 0.375248i | ||||
\(730\) | 19.4708 | + | 0.550918i | 0.720648 | + | 0.0203904i | ||||
\(731\) | −3.05823 | − | 12.2659i | −0.113113 | − | 0.453671i | ||||
\(732\) | 37.0636 | + | 31.1001i | 1.36991 | + | 1.14949i | ||||
\(733\) | −5.29398 | + | 50.3689i | −0.195538 | + | 1.86042i | 0.254064 | + | 0.967187i | \(0.418233\pi\) |
−0.449601 | + | 0.893229i | \(0.648434\pi\) | |||||||
\(734\) | −9.12009 | − | 10.1289i | −0.336629 | − | 0.373864i | ||||
\(735\) | 7.07556 | − | 34.4063i | 0.260986 | − | 1.26909i | ||||
\(736\) | 115.728 | − | 61.5335i | 4.26578 | − | 2.26815i | ||||
\(737\) | 36.6665 | + | 19.4959i | 1.35063 | + | 0.718141i | ||||
\(738\) | −36.7122 | + | 46.9894i | −1.35139 | + | 1.72971i | ||||
\(739\) | 42.1337 | + | 26.3281i | 1.54991 | + | 0.968494i | 0.990176 | + | 0.139825i | \(0.0446539\pi\) |
0.559738 | + | 0.828669i | \(0.310902\pi\) | |||||||
\(740\) | 17.4691 | + | 20.5412i | 0.642177 | + | 0.755109i | ||||
\(741\) | −1.93509 | − | 13.9652i | −0.0710874 | − | 0.513025i | ||||
\(742\) | −7.15539 | − | 5.19870i | −0.262683 | − | 0.190850i | ||||
\(743\) | −7.58071 | + | 6.36097i | −0.278109 | + | 0.233361i | −0.771163 | − | 0.636637i | \(-0.780325\pi\) |
0.493054 | + | 0.869999i | \(0.335880\pi\) | |||||||
\(744\) | −70.7810 | − | 104.937i | −2.59496 | − | 3.84718i | ||||
\(745\) | 6.69413 | + | 30.4992i | 0.245254 | + | 1.11741i | ||||
\(746\) | −35.3476 | − | 34.1348i | −1.29417 | − | 1.24976i | ||||
\(747\) | 17.7470 | − | 26.3110i | 0.649328 | − | 0.962668i | ||||
\(748\) | −47.8386 | − | 10.1684i | −1.74915 | − | 0.371794i | ||||
\(749\) | −0.898404 | − | 1.55608i | −0.0328270 | − | 0.0568580i | ||||
\(750\) | −67.9124 | − | 10.5889i | −2.47981 | − | 0.386651i | ||||
\(751\) | −36.6026 | − | 30.7132i | −1.33565 | − | 1.12074i | −0.982722 | − | 0.185088i | \(-0.940743\pi\) |
−0.352924 | − | 0.935652i | \(-0.614813\pi\) | |||||||
\(752\) | 39.5757 | − | 43.9532i | 1.44318 | − | 1.60281i | ||||
\(753\) | 2.75082 | + | 26.1723i | 0.100245 | + | 0.953771i | ||||
\(754\) | −6.97899 | + | 10.3468i | −0.254160 | + | 0.376807i | ||||
\(755\) | 23.2219 | + | 36.6211i | 0.845130 | + | 1.33278i | ||||
\(756\) | 2.07824 | − | 2.00693i | 0.0755847 | − | 0.0729913i | ||||
\(757\) | −10.5965 | − | 3.85682i | −0.385137 | − | 0.140178i | 0.142193 | − | 0.989839i | \(-0.454585\pi\) |
−0.527330 | + | 0.849661i | \(0.676807\pi\) | |||||||
\(758\) | −16.0627 | + | 1.12321i | −0.583424 | + | 0.0407970i | ||||
\(759\) | −16.8862 | + | 51.9705i | −0.612932 | + | 1.88641i | ||||
\(760\) | 84.5359 | − | 24.6692i | 3.06644 | − | 0.894846i | ||||
\(761\) | −1.27346 | − | 3.91932i | −0.0461630 | − | 0.142075i | 0.925318 | − | 0.379191i | \(-0.123798\pi\) |
−0.971481 | + | 0.237116i | \(0.923798\pi\) | |||||||
\(762\) | −10.9811 | − | 27.1792i | −0.397803 | − | 0.984598i | ||||
\(763\) | −0.347221 | + | 0.444423i | −0.0125703 | + | 0.0160892i | ||||
\(764\) | −11.0774 | + | 1.55682i | −0.400765 | + | 0.0563239i | ||||
\(765\) | −11.5631 | − | 4.58299i | −0.418064 | − | 0.165698i | ||||
\(766\) | 0.530806 | + | 15.2003i | 0.0191788 | + | 0.549209i | ||||
\(767\) | −10.2422 | + | 4.56012i | −0.369824 | + | 0.164656i | ||||
\(768\) | 30.8232 | + | 53.3874i | 1.11224 | + | 1.92645i | ||||
\(769\) | 6.68750 | + | 26.8221i | 0.241158 | + | 0.967230i | 0.961763 | + | 0.273884i | \(0.0883086\pi\) |
−0.720605 | + | 0.693346i | \(0.756136\pi\) | |||||||
\(770\) | −5.73270 | + | 1.90471i | −0.206592 | + | 0.0686411i | ||||
\(771\) | 9.42682 | + | 4.19709i | 0.339499 | + | 0.151154i | ||||
\(772\) | 3.17245 | + | 30.1839i | 0.114179 | + | 1.08634i | ||||
\(773\) | −1.97059 | − | 2.52224i | −0.0708771 | − | 0.0907186i | 0.751266 | − | 0.660000i | \(-0.229444\pi\) |
−0.822143 | + | 0.569281i | \(0.807222\pi\) | |||||||
\(774\) | −4.94974 | − | 28.0714i | −0.177915 | − | 1.00901i | ||||
\(775\) | 0.668629 | − | 30.8540i | 0.0240178 | − | 1.10831i | ||||
\(776\) | 135.883 | + | 49.4574i | 4.87792 | + | 1.77542i | ||||
\(777\) | 1.22370 | + | 0.764653i | 0.0439000 | + | 0.0274318i | ||||
\(778\) | −16.7488 | + | 12.1687i | −0.600473 | + | 0.436269i | ||||
\(779\) | 33.1984 | − | 29.7757i | 1.18946 | − | 1.06683i | ||||
\(780\) | 37.5057 | + | 9.08794i | 1.34292 | + | 0.325400i | ||||
\(781\) | 28.3222 | − | 1.98048i | 1.01345 | − | 0.0708671i | ||||
\(782\) | 44.6664 | + | 16.2572i | 1.59727 | + | 0.581357i | ||||
\(783\) | −4.47746 | + | 4.32383i | −0.160011 | + | 0.154521i | ||||
\(784\) | −94.5737 | − | 13.2915i | −3.37763 | − | 0.474695i | ||||
\(785\) | 29.7428 | − | 27.1392i | 1.06157 | − | 0.968639i | ||||
\(786\) | −7.38158 | − | 1.56900i | −0.263292 | − | 0.0559645i | ||||
\(787\) | −24.8853 | + | 5.28953i | −0.887064 | + | 0.188551i | −0.628841 | − | 0.777534i | \(-0.716470\pi\) |
−0.258223 | + | 0.966085i | \(0.583137\pi\) | |||||||
\(788\) | 77.9560 | − | 48.7123i | 2.77707 | − | 1.73530i | ||||
\(789\) | −3.34193 | + | 8.27157i | −0.118976 | + | 0.294476i | ||||
\(790\) | −4.66765 | − | 15.8805i | −0.166067 | − | 0.565003i | ||||
\(791\) | 3.80496 | + | 4.22584i | 0.135289 | + | 0.150254i | ||||
\(792\) | −66.2727 | − | 19.0034i | −2.35490 | − | 0.675256i | ||||
\(793\) | −0.988534 | − | 5.60626i | −0.0351039 | − | 0.199084i | ||||
\(794\) | −4.73974 | + | 4.57711i | −0.168207 | + | 0.162436i | ||||
\(795\) | 15.8655 | − | 56.7445i | 0.562691 | − | 2.01252i | ||||
\(796\) | 19.5726 | − | 78.5015i | 0.693733 | − | 2.78241i | ||||
\(797\) | 34.2669 | − | 24.8963i | 1.21379 | − | 0.881873i | 0.218225 | − | 0.975899i | \(-0.429973\pi\) |
0.995570 | + | 0.0940253i | \(0.0299735\pi\) | |||||||
\(798\) | 6.25723 | − | 4.20293i | 0.221503 | − | 0.148782i | ||||
\(799\) | 11.0790 | 0.391947 | ||||||||
\(800\) | −8.81787 | + | 96.1217i | −0.311759 | + | 3.39842i | ||||
\(801\) | −31.5880 | − | 11.4971i | −1.11611 | − | 0.406230i | ||||
\(802\) | −19.1910 | + | 2.69712i | −0.677659 | + | 0.0952387i | ||||
\(803\) | 8.20384 | + | 7.92235i | 0.289507 | + | 0.279574i | ||||
\(804\) | 79.3138 | − | 117.588i | 2.79718 | − | 4.14699i | ||||
\(805\) | 4.20054 | − | 0.769373i | 0.148050 | − | 0.0271168i | ||||
\(806\) | −2.49010 | + | 23.6917i | −0.0877100 | + | 0.834505i | ||||
\(807\) | 25.2701 | + | 21.2042i | 0.889551 | + | 0.746422i | ||||
\(808\) | 37.6372 | + | 150.954i | 1.32407 | + | 5.31056i | ||||
\(809\) | −23.8848 | + | 5.07687i | −0.839745 | + | 0.178493i | −0.607655 | − | 0.794201i | \(-0.707890\pi\) |
−0.232090 | + | 0.972694i | \(0.574556\pi\) | |||||||
\(810\) | 59.1134 | + | 28.3487i | 2.07703 | + | 0.996071i | ||||
\(811\) | −14.1396 | − | 18.0979i | −0.496509 | − | 0.635503i | 0.472852 | − | 0.881142i | \(-0.343224\pi\) |
−0.969361 | + | 0.245639i | \(0.921002\pi\) | |||||||
\(812\) | −4.80618 | − | 0.675464i | −0.168664 | − | 0.0237042i | ||||
\(813\) | −56.4045 | − | 29.9908i | −1.97819 | − | 1.05182i | ||||
\(814\) | −0.757516 | + | 21.6924i | −0.0265509 | + | 0.760318i | ||||
\(815\) | −5.60644 | − | 5.72926i | −0.196385 | − | 0.200687i | ||||
\(816\) | −25.0187 | + | 76.9997i | −0.875830 | + | 2.69553i | ||||
\(817\) | −0.0413092 | + | 21.3173i | −0.00144523 | + | 0.745797i | ||||
\(818\) | 14.1637 | 0.495221 | ||||||||
\(819\) | 0.860483 | − | 0.0601709i | 0.0300677 | − | 0.00210254i | ||||
\(820\) | 42.5076 | + | 114.426i | 1.48443 | + | 3.99594i | ||||
\(821\) | −17.8279 | − | 36.5526i | −0.622198 | − | 1.27570i | −0.944330 | − | 0.329000i | \(-0.893288\pi\) |
0.322132 | − | 0.946695i | \(-0.395601\pi\) | |||||||
\(822\) | 33.7025 | + | 32.5461i | 1.17551 | + | 1.13518i | ||||
\(823\) | −4.36048 | − | 5.58116i | −0.151997 | − | 0.194547i | 0.705986 | − | 0.708226i | \(-0.250504\pi\) |
−0.857982 | + | 0.513679i | \(0.828282\pi\) | |||||||
\(824\) | 3.20495 | − | 5.55113i | 0.111650 | − | 0.193383i | ||||
\(825\) | −25.1937 | − | 31.3811i | −0.877132 | − | 1.09255i | ||||
\(826\) | −4.59178 | − | 3.85296i | −0.159768 | − | 0.134062i | ||||
\(827\) | 3.05860 | − | 7.57030i | 0.106358 | − | 0.263245i | −0.864615 | − | 0.502435i | \(-0.832438\pi\) |
0.970973 | + | 0.239190i | \(0.0768820\pi\) | |||||||
\(828\) | 71.2188 | + | 31.7086i | 2.47502 | + | 1.10195i | ||||
\(829\) | 3.00360 | + | 28.5773i | 0.104319 | + | 0.992532i | 0.914014 | + | 0.405682i | \(0.132966\pi\) |
−0.809695 | + | 0.586851i | \(0.800368\pi\) | |||||||
\(830\) | −36.8682 | − | 81.3538i | −1.27972 | − | 2.82383i | ||||
\(831\) | −16.1175 | + | 33.0458i | −0.559111 | + | 1.14635i | ||||
\(832\) | 6.10916 | − | 34.6468i | 0.211797 | − | 1.20116i | ||||
\(833\) | −10.0037 | − | 14.8312i | −0.346609 | − | 0.513869i | ||||
\(834\) | −18.6170 | − | 46.0787i | −0.644653 | − | 1.59557i | ||||
\(835\) | −22.5645 | − | 5.46756i | −0.780875 | − | 0.189213i | ||||
\(836\) | 74.0560 | + | 36.2973i | 2.56128 | + | 1.25537i | ||||
\(837\) | −3.67140 | + | 11.2994i | −0.126902 | + | 0.390564i | ||||
\(838\) | 27.1977 | + | 67.3167i | 0.939529 | + | 2.32542i | ||||
\(839\) | 1.06951 | − | 30.6267i | 0.0369235 | − | 1.05735i | −0.829645 | − | 0.558291i | \(-0.811457\pi\) |
0.866568 | − | 0.499058i | \(-0.166321\pi\) | |||||||
\(840\) | 2.76529 | + | 12.5990i | 0.0954114 | + | 0.434706i | ||||
\(841\) | −18.3631 | − | 2.58076i | −0.633210 | − | 0.0889919i | ||||
\(842\) | −12.7390 | − | 3.65284i | −0.439013 | − | 0.125885i | ||||
\(843\) | 4.90601 | − | 8.49746i | 0.168972 | − | 0.292668i | ||||
\(844\) | −2.81791 | + | 26.8107i | −0.0969966 | + | 0.922861i | ||||
\(845\) | 14.5484 | + | 19.7479i | 0.500480 | + | 0.679349i | ||||
\(846\) | 24.9206 | + | 1.74262i | 0.856788 | + | 0.0599125i | ||||
\(847\) | −0.404432 | − | 0.180065i | −0.0138964 | − | 0.00618709i | ||||
\(848\) | −156.696 | − | 33.3068i | −5.38097 | − | 1.14376i | ||||
\(849\) | 25.4747 | − | 9.27204i | 0.874290 | − | 0.318216i | ||||
\(850\) | −28.0450 | + | 20.9487i | −0.961936 | + | 0.718535i | ||||
\(851\) | 2.66450 | − | 15.1111i | 0.0913378 | − | 0.518002i | ||||
\(852\) | 3.38421 | − | 96.9111i | 0.115941 | − | 3.32012i | ||||
\(853\) | −6.74873 | + | 27.0677i | −0.231072 | + | 0.926779i | 0.736957 | + | 0.675940i | \(0.236262\pi\) |
−0.968029 | + | 0.250839i | \(0.919293\pi\) | |||||||
\(854\) | 2.46231 | − | 1.78897i | 0.0842586 | − | 0.0612175i | ||||
\(855\) | 17.0264 | + | 12.2490i | 0.582290 | + | 0.418907i | ||||
\(856\) | −46.6908 | − | 33.9228i | −1.59586 | − | 1.15946i | ||||
\(857\) | −23.6778 | + | 19.8680i | −0.808819 | + | 0.678679i | −0.950325 | − | 0.311258i | \(-0.899250\pi\) |
0.141507 | + | 0.989937i | \(0.454805\pi\) | |||||||
\(858\) | 17.3708 | + | 25.7533i | 0.593030 | + | 0.879203i | ||||
\(859\) | 17.3045 | + | 9.20095i | 0.590421 | + | 0.313933i | 0.737664 | − | 0.675168i | \(-0.235929\pi\) |
−0.147243 | + | 0.989100i | \(0.547040\pi\) | |||||||
\(860\) | −54.2447 | − | 21.4997i | −1.84973 | − | 0.733134i | ||||
\(861\) | 4.02155 | + | 5.14735i | 0.137054 | + | 0.175421i | ||||
\(862\) | −5.56335 | − | 6.17873i | −0.189489 | − | 0.210448i | ||||
\(863\) | −27.0024 | + | 5.73955i | −0.919174 | + | 0.195376i | −0.643120 | − | 0.765766i | \(-0.722360\pi\) |
−0.276054 | + | 0.961142i | \(0.589027\pi\) | |||||||
\(864\) | 13.9204 | − | 34.4543i | 0.473582 | − | 1.17216i | ||||
\(865\) | −0.163492 | − | 24.6977i | −0.00555888 | − | 0.839746i | ||||
\(866\) | 31.3833 | − | 6.67073i | 1.06645 | − | 0.226680i | ||||
\(867\) | 21.3958 | − | 9.52604i | 0.726640 | − | 0.323521i | ||||
\(868\) | −8.70531 | + | 3.16847i | −0.295477 | + | 0.107545i | ||||
\(869\) | 4.24839 | − | 8.71048i | 0.144117 | − | 0.295483i | ||||
\(870\) | −9.52962 | − | 43.4181i | −0.323084 | − | 1.47201i | ||||
\(871\) | −16.0419 | + | 4.59995i | −0.543560 | + | 0.155863i | ||||
\(872\) | −4.38239 | + | 17.5768i | −0.148407 | + | 0.595226i | ||||
\(873\) | 10.6431 | + | 32.7562i | 0.360215 | + | 1.10863i | ||||
\(874\) | −66.3647 | − | 44.9509i | −2.24482 | − | 1.52049i | ||||
\(875\) | −1.22185 | + | 2.89786i | −0.0413061 | + | 0.0979656i | ||||
\(876\) | 29.8394 | − | 25.0382i | 1.00818 | − | 0.845963i | ||||
\(877\) | 1.56066 | − | 44.6915i | 0.0526998 | − | 1.50912i | −0.628950 | − | 0.777446i | \(-0.716515\pi\) |
0.681650 | − | 0.731678i | \(-0.261263\pi\) | |||||||
\(878\) | 14.2458 | + | 29.2083i | 0.480773 | + | 0.985731i | ||||
\(879\) | 2.10329 | + | 2.03112i | 0.0709422 | + | 0.0685081i | ||||
\(880\) | −80.8246 | + | 73.7494i | −2.72460 | + | 2.48609i | ||||
\(881\) | 16.1175 | − | 7.17599i | 0.543013 | − | 0.241765i | −0.116852 | − | 0.993149i | \(-0.537280\pi\) |
0.659865 | + | 0.751384i | \(0.270613\pi\) | |||||||
\(882\) | −20.1692 | − | 34.9340i | −0.679131 | − | 1.17629i | ||||
\(883\) | 5.42198 | + | 21.7464i | 0.182464 | + | 0.731824i | 0.989888 | + | 0.141852i | \(0.0453058\pi\) |
−0.807424 | + | 0.589972i | \(0.799139\pi\) | |||||||
\(884\) | 16.6677 | − | 10.4151i | 0.560595 | − | 0.350299i | ||||
\(885\) | 13.4088 | − | 37.6132i | 0.450732 | − | 1.26436i | ||||
\(886\) | −34.5963 | − | 7.35368i | −1.16229 | − | 0.247052i | ||||
\(887\) | −0.860492 | − | 24.6413i | −0.0288925 | − | 0.827373i | −0.924197 | − | 0.381917i | \(-0.875264\pi\) |
0.895304 | − | 0.445456i | \(-0.146958\pi\) | |||||||
\(888\) | 45.8965 | + | 6.45033i | 1.54018 | + | 0.216459i | ||||
\(889\) | −1.32821 | + | 0.186668i | −0.0445468 | + | 0.00626065i | ||||
\(890\) | −74.1623 | + | 58.7367i | −2.48593 | + | 1.96886i | ||||
\(891\) | 14.3792 | + | 35.5898i | 0.481722 | + | 1.19230i | ||||
\(892\) | 85.6823 | + | 62.2518i | 2.86886 | + | 2.08435i | ||||
\(893\) | −18.1189 | − | 4.55485i | −0.606325 | − | 0.152422i | ||||
\(894\) | 69.4526 | + | 50.4602i | 2.32284 | + | 1.68764i | ||||
\(895\) | −1.24471 | − | 8.45030i | −0.0416060 | − | 0.282463i | ||||
\(896\) | 7.64085 | − | 2.19098i | 0.255263 | − | 0.0731955i | ||||
\(897\) | −9.62661 | − | 19.7375i | −0.321423 | − | 0.659015i | ||||
\(898\) | 47.8326 | − | 25.4331i | 1.59620 | − | 0.848712i | ||||
\(899\) | 18.7552 | − | 6.82632i | 0.625520 | − | 0.227671i | ||||
\(900\) | −48.2812 | + | 31.0657i | −1.60937 | + | 1.03552i | ||||
\(901\) | −15.0040 | − | 25.9877i | −0.499856 | − | 0.865776i | ||||
\(902\) | −36.8082 | + | 91.1035i | −1.22558 | + | 3.03341i | ||||
\(903\) | −3.11485 | − | 0.217811i | −0.103656 | − | 0.00724830i | ||||
\(904\) | 166.856 | + | 74.2890i | 5.54954 | + | 2.47082i | ||||
\(905\) | −19.8078 | + | 20.7852i | −0.658434 | + | 0.690923i | ||||
\(906\) | 114.601 | + | 32.8612i | 3.80735 | + | 1.09174i | ||||
\(907\) | −6.97909 | − | 39.5804i | −0.231737 | − | 1.31424i | −0.849378 | − | 0.527785i | \(-0.823023\pi\) |
0.617641 | − | 0.786460i | \(-0.288088\pi\) | |||||||
\(908\) | 11.5406 | − | 11.1446i | 0.382988 | − | 0.369848i | ||||
\(909\) | −22.8134 | + | 29.1998i | −0.756673 | + | 0.968498i | ||||
\(910\) | 1.12548 | − | 2.15095i | 0.0373092 | − | 0.0713032i | ||||
\(911\) | −14.7461 | − | 45.3839i | −0.488561 | − | 1.50364i | −0.826757 | − | 0.562560i | \(-0.809817\pi\) |
0.338196 | − | 0.941076i | \(-0.390183\pi\) | |||||||
\(912\) | 72.5727 | − | 115.641i | 2.40312 | − | 3.82927i | ||||
\(913\) | 16.1602 | − | 49.7359i | 0.534824 | − | 1.64602i | ||||
\(914\) | 33.7492 | + | 21.0889i | 1.11633 | + | 0.697557i | ||||
\(915\) | 16.8841 | + | 11.2266i | 0.558171 | + | 0.371139i | ||||
\(916\) | 91.8968 | + | 48.8624i | 3.03636 | + | 1.61446i | ||||
\(917\) | −0.151367 | + | 0.310348i | −0.00499858 | + | 0.0102486i | ||||
\(918\) | 12.6636 | − | 4.60916i | 0.417959 | − | 0.152125i | ||||
\(919\) | 2.50203 | − | 1.11398i | 0.0825344 | − | 0.0367467i | −0.365054 | − | 0.930986i | \(-0.618950\pi\) |
0.447589 | + | 0.894240i | \(0.352283\pi\) | |||||||
\(920\) | 113.204 | − | 77.4525i | 3.73224 | − | 2.55353i | ||||
\(921\) | 28.8713 | + | 2.01888i | 0.951340 | + | 0.0665242i | ||||
\(922\) | 47.3734 | + | 3.31267i | 1.56016 | + | 0.109097i | ||||
\(923\) | −7.63444 | + | 8.47890i | −0.251291 | + | 0.279086i | ||||
\(924\) | −6.04011 | + | 10.4618i | −0.198705 | + | 0.344167i | ||||
\(925\) | 8.23186 | + | 7.74144i | 0.270662 | + | 0.254537i | ||||
\(926\) | −2.52627 | − | 14.3272i | −0.0830185 | − | 0.470821i | ||||
\(927\) | 1.51186 | − | 0.212477i | 0.0496558 | − | 0.00697867i | ||||
\(928\) | −60.0074 | + | 17.2068i | −1.96984 | + | 0.564842i | ||||
\(929\) | 2.88202 | − | 11.5592i | 0.0945561 | − | 0.379244i | −0.904309 | − | 0.426879i | \(-0.859613\pi\) |
0.998865 | + | 0.0476354i | \(0.0151686\pi\) | |||||||
\(930\) | −54.9679 | − | 64.6344i | −1.80247 | − | 2.11945i | ||||
\(931\) | 10.2629 | + | 28.3680i | 0.336353 | + | 0.929724i | ||||
\(932\) | −123.431 | −4.04310 | ||||||||
\(933\) | −13.8461 | + | 0.968217i | −0.453303 | + | 0.0316980i | ||||
\(934\) | 2.24709 | − | 2.87614i | 0.0735269 | − | 0.0941102i | ||||
\(935\) | −20.3970 | − | 2.00739i | −0.667052 | − | 0.0656486i | ||||
\(936\) | 24.4629 | − | 13.0072i | 0.799596 | − | 0.425153i | ||||
\(937\) | −1.26855 | − | 36.3266i | −0.0414418 | − | 1.18674i | −0.824895 | − | 0.565286i | \(-0.808766\pi\) |
0.783453 | − | 0.621451i | \(-0.213456\pi\) | |||||||
\(938\) | −5.97022 | − | 6.63060i | −0.194934 | − | 0.216497i | ||||
\(939\) | −34.0066 | + | 37.7681i | −1.10976 | + | 1.23252i | ||||
\(940\) | 29.7838 | − | 41.5698i | 0.971441 | − | 1.35586i | ||||
\(941\) | 16.9191 | − | 10.5722i | 0.551548 | − | 0.344645i | −0.225344 | − | 0.974279i | \(-0.572351\pi\) |
0.776892 | + | 0.629634i | \(0.216795\pi\) | |||||||
\(942\) | 11.5711 | − | 110.091i | 0.377006 | − | 3.58697i | ||||
\(943\) | 34.7306 | − | 60.1551i | 1.13098 | − | 1.95892i | ||||
\(944\) | −104.363 | − | 29.9256i | −3.39673 | − | 0.973996i | ||||
\(945\) | 0.772082 | − | 0.932600i | 0.0251158 | − | 0.0303375i | ||||
\(946\) | −20.5900 | − | 42.2157i | −0.669437 | − | 1.37255i | ||||
\(947\) | −31.8317 | + | 9.12760i | −1.03439 | + | 0.296607i | −0.749536 | − | 0.661963i | \(-0.769723\pi\) |
−0.284856 | + | 0.958570i | \(0.591946\pi\) | |||||||
\(948\) | −28.0708 | − | 17.5406i | −0.911698 | − | 0.569692i | ||||
\(949\) | −4.58314 | −0.148775 | ||||||||
\(950\) | 54.4780 | − | 22.7301i | 1.76750 | − | 0.737460i | ||||
\(951\) | 1.27336 | 0.0412915 | ||||||||
\(952\) | 5.57110 | + | 3.48121i | 0.180560 | + | 0.112827i | ||||
\(953\) | −0.758801 | + | 0.217583i | −0.0245800 | + | 0.00704820i | −0.287905 | − | 0.957659i | \(-0.592959\pi\) |
0.263325 | + | 0.964707i | \(0.415181\pi\) | |||||||
\(954\) | −29.6617 | − | 60.8155i | −0.960334 | − | 1.96898i | ||||
\(955\) | −4.54094 | + | 1.16416i | −0.146941 | + | 0.0376715i | ||||
\(956\) | −14.0215 | − | 4.02060i | −0.453487 | − | 0.130035i | ||||
\(957\) | 13.0131 | − | 22.5394i | 0.420655 | − | 0.728596i | ||||
\(958\) | 1.77424 | − | 16.8808i | 0.0573231 | − | 0.545392i | ||||
\(959\) | 1.81799 | − | 1.13601i | 0.0587061 | − | 0.0366837i | ||||
\(960\) | 74.3218 | + | 100.884i | 2.39872 | + | 3.25602i | ||||
\(961\) | 4.74856 | − | 5.27381i | 0.153179 | − | 0.170123i | ||||
\(962\) | −5.83665 | − | 6.48226i | −0.188181 | − | 0.208996i | ||||
\(963\) | −0.479733 | − | 13.7378i | −0.0154592 | − | 0.442693i | ||||
\(964\) | −117.360 | + | 62.4014i | −3.77991 | + | 2.00981i | ||||
\(965\) | 2.72667 | + | 12.4230i | 0.0877747 | + | 0.399912i | ||||
\(966\) | 7.22832 | − | 9.25183i | 0.232567 | − | 0.297673i | ||||
\(967\) | −27.8126 | + | 1.94484i | −0.894392 | + | 0.0625420i | −0.509550 | − | 0.860441i | \(-0.670188\pi\) |
−0.384841 | + | 0.922983i | \(0.625744\pi\) | |||||||
\(968\) | −14.2196 | −0.457034 | ||||||||
\(969\) | 25.1943 | − | 4.39210i | 0.809356 | − | 0.141095i | ||||
\(970\) | 94.2050 | + | 22.8267i | 3.02474 | + | 0.732920i | ||||
\(971\) | 0.967628 | − | 3.88094i | 0.0310526 | − | 0.124545i | −0.952769 | − | 0.303696i | \(-0.901779\pi\) |
0.983822 | + | 0.179150i | \(0.0573349\pi\) | |||||||
\(972\) | 96.4054 | − | 27.6438i | 3.09221 | − | 0.886676i | ||||
\(973\) | −2.25181 | + | 0.316471i | −0.0721896 | + | 0.0101456i | ||||
\(974\) | 12.7340 | + | 72.2181i | 0.408024 | + | 2.31402i | ||||
\(975\) | 16.0433 | + | 2.03853i | 0.513795 | + | 0.0652851i | ||||
\(976\) | 27.5635 | − | 47.7413i | 0.882285 | − | 1.52816i | ||||
\(977\) | 24.9107 | − | 27.6661i | 0.796963 | − | 0.885117i | −0.198516 | − | 0.980098i | \(-0.563612\pi\) |
0.995479 | + | 0.0949805i | \(0.0302789\pi\) | |||||||
\(978\) | −21.9849 | − | 1.53733i | −0.703000 | − | 0.0491585i | ||||
\(979\) | −55.2558 | − | 3.86387i | −1.76598 | − | 0.123490i | ||||
\(980\) | −82.5416 | − | 2.33548i | −2.63670 | − | 0.0746040i | ||||
\(981\) | −3.94160 | + | 1.75492i | −0.125846 | + | 0.0560301i | ||||
\(982\) | 104.443 | − | 38.0142i | 3.33291 | − | 1.21308i | ||||
\(983\) | 7.39355 | − | 15.1590i | 0.235817 | − | 0.483498i | −0.747763 | − | 0.663965i | \(-0.768872\pi\) |
0.983581 | + | 0.180468i | \(0.0577612\pi\) | |||||||
\(984\) | 185.250 | + | 98.4991i | 5.90555 | + | 3.14004i | ||||
\(985\) | 30.1984 | − | 23.9172i | 0.962201 | − | 0.762065i | ||||
\(986\) | −19.1989 | − | 11.9968i | −0.611418 | − | 0.382056i | ||||
\(987\) | 0.845636 | − | 2.60260i | 0.0269169 | − | 0.0828417i | ||||
\(988\) | −31.5407 | + | 10.1807i | −1.00344 | + | 0.323890i | ||||
\(989\) | 10.2605 | + | 31.5786i | 0.326265 | + | 1.00414i | ||||
\(990\) | −45.5643 | − | 7.72357i | −1.44813 | − | 0.245471i | ||||
\(991\) | 3.79467 | − | 4.85696i | 0.120542 | − | 0.154286i | −0.723955 | − | 0.689847i | \(-0.757678\pi\) |
0.844496 | + | 0.535561i | \(0.179900\pi\) | |||||||
\(992\) | −85.7134 | + | 82.7724i | −2.72140 | + | 2.62803i | ||||
\(993\) | 9.00306 | + | 51.0589i | 0.285703 | + | 1.62031i | ||||
\(994\) | −5.86370 | − | 1.68139i | −0.185985 | − | 0.0533304i | ||||
\(995\) | 4.49625 | − | 33.6051i | 0.142541 | − | 1.06535i | ||||
\(996\) | −163.172 | − | 72.6490i | −5.17032 | − | 2.30197i | ||||
\(997\) | −6.20623 | − | 0.433982i | −0.196553 | − | 0.0137443i | −0.0288595 | − | 0.999583i | \(-0.509188\pi\) |
−0.167694 | + | 0.985839i | \(0.553632\pi\) | |||||||
\(998\) | 5.93783 | − | 14.6966i | 0.187959 | − | 0.465214i | ||||
\(999\) | −2.17515 | − | 3.76748i | −0.0688188 | − | 0.119198i |
(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 | 475.2.bc.a.6.2 | ✓ | 1152 | |
19.16 | even | 9 | inner | 475.2.bc.a.206.47 | yes | 1152 | |
25.21 | even | 5 | inner | 475.2.bc.a.196.47 | yes | 1152 | |
475.396 | even | 45 | inner | 475.2.bc.a.396.2 | yes | 1152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.bc.a.6.2 | ✓ | 1152 | 1.1 | even | 1 | trivial | |
475.2.bc.a.196.47 | yes | 1152 | 25.21 | even | 5 | inner | |
475.2.bc.a.206.47 | yes | 1152 | 19.16 | even | 9 | inner | |
475.2.bc.a.396.2 | yes | 1152 | 475.396 | even | 45 | inner |