Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [256,2,Mod(5,256)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(256, base_ring=CyclotomicField(64))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("256.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 256 = 2^{8} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 256.m (of order \(64\), degree \(32\), 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: | \(2.04417029174\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(31\) over \(\Q(\zeta_{64})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{64}]$ |
Embedding invariants
Embedding label | 5.15 | ||
Character | \(\chi\) | \(=\) | 256.5 |
Dual form | 256.2.m.a.205.15 |
$q$-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 \(\left(\mathbb{Z}/256\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(255\) |
\(\chi(n)\) | \(e\left(\frac{1}{64}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.369587 | − | 1.36507i | −0.261338 | − | 0.965247i | ||||
\(3\) | −0.111501 | + | 0.751680i | −0.0643752 | + | 0.433983i | 0.932895 | + | 0.360148i | \(0.117274\pi\) |
−0.997270 | + | 0.0738348i | \(0.976476\pi\) | |||||||
\(4\) | −1.72681 | + | 1.00902i | −0.863405 | + | 0.504511i | ||||
\(5\) | −1.56967 | − | 0.0771129i | −0.701977 | − | 0.0344859i | −0.305050 | − | 0.952336i | \(-0.598673\pi\) |
−0.396927 | + | 0.917850i | \(0.629923\pi\) | |||||||
\(6\) | 1.06730 | − | 0.125605i | 0.435724 | − | 0.0512779i | ||||
\(7\) | 1.56830 | + | 0.838272i | 0.592760 | + | 0.316837i | 0.740360 | − | 0.672210i | \(-0.234655\pi\) |
−0.147600 | + | 0.989047i | \(0.547155\pi\) | |||||||
\(8\) | 2.01559 | + | 1.98429i | 0.712618 | + | 0.701552i | ||||
\(9\) | 2.31823 | + | 0.703228i | 0.772744 | + | 0.234409i | ||||
\(10\) | 0.474865 | + | 2.17120i | 0.150166 | + | 0.686594i | ||||
\(11\) | 1.01106 | + | 1.68685i | 0.304846 | + | 0.508605i | 0.971586 | − | 0.236685i | \(-0.0760609\pi\) |
−0.666740 | + | 0.745290i | \(0.732311\pi\) | |||||||
\(12\) | −0.565920 | − | 1.41052i | −0.163367 | − | 0.407181i | ||||
\(13\) | 3.56180 | − | 3.92984i | 0.987864 | − | 1.08994i | −0.00807972 | − | 0.999967i | \(-0.502572\pi\) |
0.995944 | − | 0.0899731i | \(-0.0286781\pi\) | |||||||
\(14\) | 0.564674 | − | 2.45064i | 0.150916 | − | 0.654962i | ||||
\(15\) | 0.232984 | − | 1.17129i | 0.0601562 | − | 0.302426i | ||||
\(16\) | 1.96375 | − | 3.48478i | 0.490937 | − | 0.871195i | ||||
\(17\) | 0.925241 | + | 4.65150i | 0.224404 | + | 1.12815i | 0.914547 | + | 0.404481i | \(0.132548\pi\) |
−0.690143 | + | 0.723673i | \(0.742452\pi\) | |||||||
\(18\) | 0.103164 | − | 3.42444i | 0.0243159 | − | 0.807149i | ||||
\(19\) | −0.0523519 | − | 0.110689i | −0.0120103 | − | 0.0253937i | 0.897895 | − | 0.440210i | \(-0.145096\pi\) |
−0.909905 | + | 0.414816i | \(0.863846\pi\) | |||||||
\(20\) | 2.78833 | − | 1.45067i | 0.623489 | − | 0.324380i | ||||
\(21\) | −0.804979 | + | 1.08539i | −0.175661 | + | 0.236851i | ||||
\(22\) | 1.92899 | − | 2.00360i | 0.411262 | − | 0.427170i | ||||
\(23\) | 4.59216 | + | 3.76868i | 0.957531 | + | 0.785825i | 0.976836 | − | 0.213989i | \(-0.0686455\pi\) |
−0.0193055 | + | 0.999814i | \(0.506146\pi\) | |||||||
\(24\) | −1.71629 | + | 1.29383i | −0.350336 | + | 0.264101i | ||||
\(25\) | −2.51801 | − | 0.248003i | −0.503602 | − | 0.0496005i | ||||
\(26\) | −6.68088 | − | 3.40967i | −1.31023 | − | 0.668691i | ||||
\(27\) | −1.76179 | + | 3.72499i | −0.339057 | + | 0.716875i | ||||
\(28\) | −3.55399 | + | 0.134909i | −0.671640 | + | 0.0254953i | ||||
\(29\) | −2.65835 | + | 0.665882i | −0.493643 | + | 0.123651i | −0.481805 | − | 0.876279i | \(-0.660018\pi\) |
−0.0118388 | + | 0.999930i | \(0.503768\pi\) | |||||||
\(30\) | −1.68500 | + | 0.114855i | −0.307637 | + | 0.0209696i | ||||
\(31\) | 5.40378 | + | 2.23832i | 0.970548 | + | 0.402014i | 0.810916 | − | 0.585162i | \(-0.198969\pi\) |
0.159632 | + | 0.987177i | \(0.448969\pi\) | |||||||
\(32\) | −5.48273 | − | 1.39272i | −0.969219 | − | 0.246200i | ||||
\(33\) | −1.38071 | + | 0.571908i | −0.240350 | + | 0.0995564i | ||||
\(34\) | 6.00765 | − | 2.98215i | 1.03030 | − | 0.511434i | ||||
\(35\) | −2.39706 | − | 1.43674i | −0.405178 | − | 0.242854i | ||||
\(36\) | −4.71272 | + | 1.12480i | −0.785453 | + | 0.187467i | ||||
\(37\) | −3.78540 | − | 10.5795i | −0.622316 | − | 1.73926i | −0.672061 | − | 0.740495i | \(-0.734591\pi\) |
0.0497451 | − | 0.998762i | \(-0.484159\pi\) | |||||||
\(38\) | −0.131749 | + | 0.112373i | −0.0213725 | + | 0.0182293i | ||||
\(39\) | 2.55683 | + | 3.11551i | 0.409421 | + | 0.498881i | ||||
\(40\) | −3.01079 | − | 3.27010i | −0.476048 | − | 0.517049i | ||||
\(41\) | −2.43524 | + | 0.239850i | −0.380320 | + | 0.0374583i | −0.286371 | − | 0.958119i | \(-0.592449\pi\) |
−0.0939489 | + | 0.995577i | \(0.529949\pi\) | |||||||
\(42\) | 1.77914 | + | 0.697704i | 0.274527 | + | 0.107658i | ||||
\(43\) | 3.29335 | − | 0.488522i | 0.502231 | − | 0.0744990i | 0.109192 | − | 0.994021i | \(-0.465174\pi\) |
0.393039 | + | 0.919522i | \(0.371424\pi\) | |||||||
\(44\) | −3.44798 | − | 1.89269i | −0.519803 | − | 0.285334i | ||||
\(45\) | −3.58463 | − | 1.28260i | −0.534364 | − | 0.191199i | ||||
\(46\) | 3.44730 | − | 7.66145i | 0.508277 | − | 1.12962i | ||||
\(47\) | −3.50234 | + | 5.24162i | −0.510868 | + | 0.764568i | −0.993811 | − | 0.111084i | \(-0.964568\pi\) |
0.482943 | + | 0.875652i | \(0.339568\pi\) | |||||||
\(48\) | 2.40048 | + | 1.86467i | 0.346479 | + | 0.269142i | ||||
\(49\) | −2.13214 | − | 3.19097i | −0.304591 | − | 0.455853i | ||||
\(50\) | 0.592085 | + | 3.52891i | 0.0837335 | + | 0.499063i | ||||
\(51\) | −3.59960 | + | 0.176837i | −0.504045 | + | 0.0247622i | ||||
\(52\) | −2.18526 | + | 10.3800i | −0.303041 | + | 1.43945i | ||||
\(53\) | 4.13656 | + | 1.03615i | 0.568200 | + | 0.142327i | 0.516425 | − | 0.856332i | \(-0.327262\pi\) |
0.0517742 | + | 0.998659i | \(0.483512\pi\) | |||||||
\(54\) | 5.73600 | + | 1.02825i | 0.780570 | + | 0.139927i | ||||
\(55\) | −1.45695 | − | 2.72577i | −0.196455 | − | 0.367542i | ||||
\(56\) | 1.49767 | + | 4.80156i | 0.200134 | + | 0.641636i | ||||
\(57\) | 0.0890398 | − | 0.0270099i | 0.0117936 | − | 0.00357755i | ||||
\(58\) | 1.89147 | + | 3.38272i | 0.248362 | + | 0.444173i | ||||
\(59\) | 6.69414 | + | 7.38585i | 0.871503 | + | 0.961555i | 0.999543 | − | 0.0302136i | \(-0.00961876\pi\) |
−0.128041 | + | 0.991769i | \(0.540869\pi\) | |||||||
\(60\) | 0.779538 | + | 2.25768i | 0.100638 | + | 0.291465i | ||||
\(61\) | −2.99455 | − | 4.03768i | −0.383413 | − | 0.516972i | 0.568772 | − | 0.822495i | \(-0.307419\pi\) |
−0.952185 | + | 0.305523i | \(0.901169\pi\) | |||||||
\(62\) | 1.05829 | − | 8.20378i | 0.134402 | − | 1.04188i | ||||
\(63\) | 3.04618 | + | 3.04618i | 0.383782 | + | 0.383782i | ||||
\(64\) | 0.125194 | + | 7.99902i | 0.0156493 | + | 0.999878i | ||||
\(65\) | −5.89388 | + | 5.89388i | −0.731046 | + | 0.731046i | ||||
\(66\) | 1.29098 | + | 1.67339i | 0.158909 | + | 0.205980i | ||||
\(67\) | −8.09095 | + | 6.00066i | −0.988467 | + | 0.733097i | −0.963808 | − | 0.266599i | \(-0.914100\pi\) |
−0.0246597 | + | 0.999696i | \(0.507850\pi\) | |||||||
\(68\) | −6.29118 | − | 7.09867i | −0.762917 | − | 0.860840i | ||||
\(69\) | −3.34488 | + | 3.03162i | −0.402676 | + | 0.364964i | ||||
\(70\) | −1.07533 | + | 3.80315i | −0.128526 | + | 0.454564i | ||||
\(71\) | −4.36560 | − | 14.3915i | −0.518102 | − | 1.70795i | −0.690860 | − | 0.722988i | \(-0.742768\pi\) |
0.172758 | − | 0.984964i | \(-0.444732\pi\) | |||||||
\(72\) | 3.27719 | + | 6.01746i | 0.386221 | + | 0.709164i | ||||
\(73\) | −1.04178 | + | 0.556842i | −0.121931 | + | 0.0651734i | −0.531235 | − | 0.847225i | \(-0.678272\pi\) |
0.409304 | + | 0.912398i | \(0.365772\pi\) | |||||||
\(74\) | −13.0427 | + | 9.07737i | −1.51618 | + | 1.05522i | ||||
\(75\) | 0.467180 | − | 1.86509i | 0.0539453 | − | 0.215362i | ||||
\(76\) | 0.202089 | + | 0.138314i | 0.0231812 | + | 0.0158657i | ||||
\(77\) | 0.171602 | + | 3.49303i | 0.0195558 | + | 0.398068i | ||||
\(78\) | 3.30791 | − | 4.64170i | 0.374547 | − | 0.525569i | ||||
\(79\) | 3.03683 | − | 2.02914i | 0.341670 | − | 0.228296i | −0.372882 | − | 0.927879i | \(-0.621631\pi\) |
0.714552 | + | 0.699582i | \(0.246631\pi\) | |||||||
\(80\) | −3.35116 | + | 5.31852i | −0.374671 | + | 0.594628i | ||||
\(81\) | 3.43926 | + | 2.29804i | 0.382140 | + | 0.255337i | ||||
\(82\) | 1.22744 | + | 3.23561i | 0.135548 | + | 0.357314i | ||||
\(83\) | 1.17370 | − | 3.28026i | 0.128830 | − | 0.360056i | −0.859758 | − | 0.510702i | \(-0.829385\pi\) |
0.988588 | + | 0.150646i | \(0.0481355\pi\) | |||||||
\(84\) | 0.294866 | − | 2.68650i | 0.0321725 | − | 0.293121i | ||||
\(85\) | −1.09363 | − | 7.37266i | −0.118621 | − | 0.799677i | ||||
\(86\) | −1.88405 | − | 4.31509i | −0.203162 | − | 0.465308i | ||||
\(87\) | −0.204121 | − | 2.07248i | −0.0218841 | − | 0.222193i | ||||
\(88\) | −1.30932 | + | 5.40624i | −0.139574 | + | 0.576307i | ||||
\(89\) | 8.15638 | − | 6.69377i | 0.864575 | − | 0.709538i | −0.0936344 | − | 0.995607i | \(-0.529848\pi\) |
0.958209 | + | 0.286068i | \(0.0923485\pi\) | |||||||
\(90\) | −0.426001 | + | 5.36728i | −0.0449045 | + | 0.565761i | ||||
\(91\) | 8.88022 | − | 3.17739i | 0.930900 | − | 0.333081i | ||||
\(92\) | −11.7325 | − | 1.87422i | −1.22319 | − | 0.195401i | ||||
\(93\) | −2.28503 | + | 3.81234i | −0.236947 | + | 0.395321i | ||||
\(94\) | 8.44957 | + | 2.84369i | 0.871507 | + | 0.293304i | ||||
\(95\) | 0.0736395 | + | 0.177782i | 0.00755526 | + | 0.0182400i | ||||
\(96\) | 1.65821 | − | 3.96597i | 0.169240 | − | 0.404775i | ||||
\(97\) | −4.51959 | + | 10.9112i | −0.458894 | + | 1.10787i | 0.509951 | + | 0.860203i | \(0.329663\pi\) |
−0.968846 | + | 0.247666i | \(0.920337\pi\) | |||||||
\(98\) | −3.56787 | + | 4.08985i | −0.360410 | + | 0.413137i | ||||
\(99\) | 1.15763 | + | 4.62152i | 0.116346 | + | 0.464480i | ||||
\(100\) | 4.59837 | − | 2.11248i | 0.459837 | − | 0.211248i | ||||
\(101\) | −12.3719 | − | 5.85146i | −1.23105 | − | 0.582242i | −0.302391 | − | 0.953184i | \(-0.597785\pi\) |
−0.928656 | + | 0.370943i | \(0.879035\pi\) | |||||||
\(102\) | 1.57176 | + | 4.84834i | 0.155628 | + | 0.480057i | ||||
\(103\) | 0.528012 | − | 5.36100i | 0.0520266 | − | 0.528235i | −0.933484 | − | 0.358620i | \(-0.883247\pi\) |
0.985510 | − | 0.169615i | \(-0.0542525\pi\) | |||||||
\(104\) | 14.9770 | − | 0.853300i | 1.46862 | − | 0.0836730i | ||||
\(105\) | 1.34725 | − | 1.64163i | 0.131478 | − | 0.160206i | ||||
\(106\) | −0.114400 | − | 6.02962i | −0.0111115 | − | 0.585648i | ||||
\(107\) | −10.3994 | − | 7.71274i | −1.00535 | − | 0.745618i | −0.0380557 | − | 0.999276i | \(-0.512116\pi\) |
−0.967294 | + | 0.253657i | \(0.918366\pi\) | |||||||
\(108\) | −0.716321 | − | 8.21004i | −0.0689280 | − | 0.790012i | ||||
\(109\) | 10.9403 | − | 5.17439i | 1.04789 | − | 0.495617i | 0.175530 | − | 0.984474i | \(-0.443836\pi\) |
0.872364 | + | 0.488857i | \(0.162586\pi\) | |||||||
\(110\) | −3.18238 | + | 2.99624i | −0.303428 | + | 0.285681i | ||||
\(111\) | 8.37447 | − | 1.66578i | 0.794869 | − | 0.158109i | ||||
\(112\) | 6.00093 | − | 3.81901i | 0.567035 | − | 0.360863i | ||||
\(113\) | −3.19165 | − | 0.634859i | −0.300245 | − | 0.0597225i | 0.0426687 | − | 0.999089i | \(-0.486414\pi\) |
−0.342914 | + | 0.939367i | \(0.611414\pi\) | |||||||
\(114\) | −0.0697783 | − | 0.111563i | −0.00653534 | − | 0.0104488i | ||||
\(115\) | −6.91755 | − | 6.26970i | −0.645065 | − | 0.584652i | ||||
\(116\) | 3.91858 | − | 3.83219i | 0.363831 | − | 0.355810i | ||||
\(117\) | 11.0206 | − | 6.60551i | 1.01886 | − | 0.610680i | ||||
\(118\) | 7.60810 | − | 11.8677i | 0.700382 | − | 1.09251i | ||||
\(119\) | −2.44817 | + | 8.07053i | −0.224423 | + | 0.739824i | ||||
\(120\) | 2.79378 | − | 1.89853i | 0.255036 | − | 0.173311i | ||||
\(121\) | 3.36213 | − | 6.29011i | 0.305649 | − | 0.571828i | ||||
\(122\) | −4.40496 | + | 5.58003i | −0.398806 | + | 0.505193i | ||||
\(123\) | 0.0912414 | − | 1.85726i | 0.00822696 | − | 0.167464i | ||||
\(124\) | −11.5898 | + | 1.58738i | −1.04080 | + | 0.142551i | ||||
\(125\) | 11.7061 | + | 1.73643i | 1.04702 | + | 0.155311i | ||||
\(126\) | 3.03240 | − | 5.28406i | 0.270148 | − | 0.470742i | ||||
\(127\) | 2.85284i | 0.253149i | 0.991957 | + | 0.126574i | \(0.0403982\pi\) | ||||
−0.991957 | + | 0.126574i | \(0.959602\pi\) | |||||||
\(128\) | 10.8729 | − | 3.12723i | 0.961040 | − | 0.276411i | ||||
\(129\) | 2.53002i | 0.222755i | ||||||||
\(130\) | 10.2238 | + | 5.86723i | 0.896690 | + | 0.514590i | ||||
\(131\) | −19.5918 | − | 2.90617i | −1.71175 | − | 0.253914i | −0.782309 | − | 0.622891i | \(-0.785958\pi\) |
−0.929438 | + | 0.368977i | \(0.879708\pi\) | |||||||
\(132\) | 1.80715 | − | 2.38074i | 0.157293 | − | 0.207217i | ||||
\(133\) | 0.0106840 | − | 0.217478i | 0.000926420 | − | 0.0188577i | ||||
\(134\) | 11.1816 | + | 8.82692i | 0.965944 | + | 0.762530i | ||||
\(135\) | 3.05267 | − | 5.71115i | 0.262732 | − | 0.491537i | ||||
\(136\) | −7.36501 | + | 11.2115i | −0.631545 | + | 0.961374i | ||||
\(137\) | 3.39975 | − | 11.2075i | 0.290460 | − | 0.957518i | −0.683338 | − | 0.730102i | \(-0.739472\pi\) |
0.973798 | − | 0.227416i | \(-0.0730277\pi\) | |||||||
\(138\) | 5.37458 | + | 3.44553i | 0.457515 | + | 0.293303i | ||||
\(139\) | 1.96744 | − | 1.17924i | 0.166876 | − | 0.100021i | −0.428227 | − | 0.903671i | \(-0.640861\pi\) |
0.595102 | + | 0.803650i | \(0.297111\pi\) | |||||||
\(140\) | 5.58898 | + | 0.0622964i | 0.472355 | + | 0.00526500i | ||||
\(141\) | −3.54950 | − | 3.21708i | −0.298922 | − | 0.270927i | ||||
\(142\) | −18.0318 | + | 11.2782i | −1.51320 | + | 0.946449i | ||||
\(143\) | 10.2302 | + | 2.03492i | 0.855496 | + | 0.170169i | ||||
\(144\) | 7.00302 | − | 6.69756i | 0.583585 | − | 0.558130i | ||||
\(145\) | 4.22408 | − | 0.840221i | 0.350791 | − | 0.0697766i | ||||
\(146\) | 1.14515 | + | 1.21629i | 0.0947736 | + | 0.100661i | ||||
\(147\) | 2.63632 | − | 1.24689i | 0.217440 | − | 0.102842i | ||||
\(148\) | 17.2116 | + | 14.4492i | 1.41479 | + | 1.18772i | ||||
\(149\) | −11.0401 | − | 8.18786i | −0.904436 | − | 0.670776i | 0.0400954 | − | 0.999196i | \(-0.487234\pi\) |
−0.944532 | + | 0.328420i | \(0.893484\pi\) | |||||||
\(150\) | −2.71863 | + | 0.0515807i | −0.221975 | + | 0.00421155i | ||||
\(151\) | 9.46081 | − | 11.5280i | 0.769910 | − | 0.938138i | −0.229471 | − | 0.973315i | \(-0.573700\pi\) |
0.999381 | + | 0.0351774i | \(0.0111996\pi\) | |||||||
\(152\) | 0.114119 | − | 0.326984i | 0.00925624 | − | 0.0265219i | ||||
\(153\) | −1.12614 | + | 11.4339i | −0.0910431 | + | 0.924376i | ||||
\(154\) | 4.70479 | − | 1.52523i | 0.379123 | − | 0.122906i | ||||
\(155\) | −8.30955 | − | 3.93012i | −0.667439 | − | 0.315675i | ||||
\(156\) | −7.55879 | − | 2.80000i | −0.605187 | − | 0.224179i | ||||
\(157\) | 0.251059 | + | 1.00228i | 0.0200367 | + | 0.0799910i | 0.979225 | − | 0.202778i | \(-0.0649970\pi\) |
−0.959188 | + | 0.282769i | \(0.908747\pi\) | |||||||
\(158\) | −3.89229 | − | 3.39552i | −0.309654 | − | 0.270133i | ||||
\(159\) | −1.24009 | + | 2.99383i | −0.0983452 | + | 0.237426i | ||||
\(160\) | 8.49867 | + | 2.60890i | 0.671879 | + | 0.206251i | ||||
\(161\) | 4.04268 | + | 9.75989i | 0.318608 | + | 0.769187i | ||||
\(162\) | 1.86587 | − | 5.54414i | 0.146596 | − | 0.435588i | ||||
\(163\) | −5.79060 | + | 9.66104i | −0.453555 | + | 0.756711i | −0.996547 | − | 0.0830269i | \(-0.973541\pi\) |
0.542992 | + | 0.839738i | \(0.317291\pi\) | |||||||
\(164\) | 3.96318 | − | 2.87138i | 0.309472 | − | 0.224217i | ||||
\(165\) | 2.21136 | − | 0.791235i | 0.172154 | − | 0.0615976i | ||||
\(166\) | −4.91156 | − | 0.389831i | −0.381211 | − | 0.0302567i | ||||
\(167\) | 5.73174 | − | 4.70392i | 0.443536 | − | 0.364000i | −0.385958 | − | 0.922516i | \(-0.626129\pi\) |
0.829494 | + | 0.558516i | \(0.188629\pi\) | |||||||
\(168\) | −3.77623 | + | 0.590386i | −0.291343 | + | 0.0455492i | ||||
\(169\) | −1.48300 | − | 15.0571i | −0.114077 | − | 1.15824i | ||||
\(170\) | −9.65997 | + | 4.21772i | −0.740886 | + | 0.323484i | ||||
\(171\) | −0.0435243 | − | 0.293417i | −0.00332839 | − | 0.0224382i | ||||
\(172\) | −5.19406 | + | 4.16665i | −0.396043 | + | 0.317704i | ||||
\(173\) | −4.55388 | + | 12.7273i | −0.346225 | + | 0.967635i | 0.634616 | + | 0.772828i | \(0.281158\pi\) |
−0.980841 | + | 0.194808i | \(0.937592\pi\) | |||||||
\(174\) | −2.75363 | + | 1.04460i | −0.208752 | + | 0.0791909i | ||||
\(175\) | −3.74110 | − | 2.49972i | −0.282800 | − | 0.188961i | ||||
\(176\) | 7.86378 | − | 0.210766i | 0.592755 | − | 0.0158871i | ||||
\(177\) | −6.29820 | + | 4.20832i | −0.473401 | + | 0.316317i | ||||
\(178\) | −12.1519 | − | 8.66007i | −0.910826 | − | 0.649100i | ||||
\(179\) | 0.0318657 | + | 0.648640i | 0.00238175 | + | 0.0484817i | 0.999692 | − | 0.0248124i | \(-0.00789884\pi\) |
−0.997310 | + | 0.0732941i | \(0.976649\pi\) | |||||||
\(180\) | 7.48414 | − | 1.40216i | 0.557835 | − | 0.104511i | ||||
\(181\) | −2.92310 | + | 11.6697i | −0.217272 | + | 0.867400i | 0.759042 | + | 0.651042i | \(0.225668\pi\) |
−0.976314 | + | 0.216358i | \(0.930582\pi\) | |||||||
\(182\) | −7.61937 | − | 10.9478i | −0.564785 | − | 0.811502i | ||||
\(183\) | 3.36894 | − | 1.80074i | 0.249039 | − | 0.133114i | ||||
\(184\) | 1.77774 | + | 16.7083i | 0.131056 | + | 1.23175i | ||||
\(185\) | 5.12601 | + | 16.8982i | 0.376872 | + | 1.24238i | ||||
\(186\) | 6.04861 | + | 1.71022i | 0.443506 | + | 0.125400i | ||||
\(187\) | −6.91092 | + | 6.26369i | −0.505376 | + | 0.458047i | ||||
\(188\) | 0.758966 | − | 12.5852i | 0.0553533 | − | 0.917871i | ||||
\(189\) | −5.88557 | + | 4.36503i | −0.428112 | + | 0.317510i | ||||
\(190\) | 0.215467 | − | 0.166229i | 0.0156316 | − | 0.0120595i | ||||
\(191\) | −6.88454 | + | 6.88454i | −0.498148 | + | 0.498148i | −0.910861 | − | 0.412713i | \(-0.864581\pi\) |
0.412713 | + | 0.910861i | \(0.364581\pi\) | |||||||
\(192\) | −6.02666 | − | 0.797794i | −0.434937 | − | 0.0575758i | ||||
\(193\) | 3.64446 | + | 3.64446i | 0.262334 | + | 0.262334i | 0.826002 | − | 0.563668i | \(-0.190610\pi\) |
−0.563668 | + | 0.826002i | \(0.690610\pi\) | |||||||
\(194\) | 16.5650 | + | 2.13688i | 1.18929 | + | 0.153419i | ||||
\(195\) | −3.77314 | − | 5.08748i | −0.270200 | − | 0.364322i | ||||
\(196\) | 6.90156 | + | 3.35883i | 0.492968 | + | 0.239916i | ||||
\(197\) | −5.91044 | − | 6.52116i | −0.421101 | − | 0.464613i | 0.493042 | − | 0.870006i | \(-0.335885\pi\) |
−0.914143 | + | 0.405392i | \(0.867135\pi\) | |||||||
\(198\) | 5.88084 | − | 3.28830i | 0.417933 | − | 0.233689i | ||||
\(199\) | −6.33063 | + | 1.92038i | −0.448767 | + | 0.136132i | −0.506575 | − | 0.862196i | \(-0.669089\pi\) |
0.0578085 | + | 0.998328i | \(0.481589\pi\) | |||||||
\(200\) | −4.58317 | − | 5.49633i | −0.324079 | − | 0.388649i | ||||
\(201\) | −3.60842 | − | 6.75089i | −0.254519 | − | 0.476171i | ||||
\(202\) | −3.41514 | + | 19.0510i | −0.240288 | + | 1.34043i | ||||
\(203\) | −4.72727 | − | 1.18412i | −0.331789 | − | 0.0831089i | ||||
\(204\) | 6.03740 | − | 3.93744i | 0.422703 | − | 0.275676i | ||||
\(205\) | 3.84101 | − | 0.188697i | 0.268268 | − | 0.0131791i | ||||
\(206\) | −7.51326 | + | 1.26058i | −0.523474 | + | 0.0878291i | ||||
\(207\) | 7.99543 | + | 11.9660i | 0.555721 | + | 0.831695i | ||||
\(208\) | −6.70014 | − | 20.1293i | −0.464571 | − | 1.39572i | ||||
\(209\) | 0.133785 | − | 0.200223i | 0.00925408 | − | 0.0138497i | ||||
\(210\) | −2.73885 | − | 1.23236i | −0.188999 | − | 0.0850408i | ||||
\(211\) | 25.7480 | + | 9.21279i | 1.77257 | + | 0.634235i | 1.00000 | 0.000698483i | \(-0.000222334\pi\) | |
0.772567 | + | 0.634933i | \(0.218972\pi\) | |||||||
\(212\) | −8.18855 | + | 2.38463i | −0.562392 | + | 0.163777i | ||||
\(213\) | 11.3045 | − | 1.67687i | 0.774575 | − | 0.114897i | ||||
\(214\) | −6.68490 | + | 17.0464i | −0.456970 | + | 1.16527i | ||||
\(215\) | −5.20714 | + | 0.512858i | −0.355124 | + | 0.0349766i | ||||
\(216\) | −10.9425 | + | 4.01215i | −0.744544 | + | 0.272992i | ||||
\(217\) | 6.59841 | + | 8.04019i | 0.447930 | + | 0.545804i | ||||
\(218\) | −11.1068 | − | 13.0219i | −0.752247 | − | 0.881953i | ||||
\(219\) | −0.302408 | − | 0.845172i | −0.0204348 | − | 0.0571115i | ||||
\(220\) | 5.26624 | + | 3.23678i | 0.355050 | + | 0.218224i | ||||
\(221\) | 21.5751 | + | 12.9316i | 1.45130 | + | 0.869876i | ||||
\(222\) | −5.36900 | − | 10.8160i | −0.360344 | − | 0.725926i | ||||
\(223\) | −19.2358 | + | 7.96772i | −1.28812 | + | 0.533558i | −0.918425 | − | 0.395594i | \(-0.870539\pi\) |
−0.369697 | + | 0.929152i | \(0.620539\pi\) | |||||||
\(224\) | −7.43107 | − | 6.78021i | −0.496509 | − | 0.453022i | ||||
\(225\) | −5.66293 | − | 2.34566i | −0.377529 | − | 0.156377i | ||||
\(226\) | 0.312969 | + | 4.59145i | 0.0208184 | + | 0.305419i | ||||
\(227\) | −12.4568 | + | 3.12026i | −0.826786 | + | 0.207099i | −0.633204 | − | 0.773985i | \(-0.718261\pi\) |
−0.193582 | + | 0.981084i | \(0.562011\pi\) | |||||||
\(228\) | −0.126501 | + | 0.136484i | −0.00837775 | + | 0.00903888i | ||||
\(229\) | 1.43591 | − | 3.03598i | 0.0948876 | − | 0.200623i | −0.850963 | − | 0.525226i | \(-0.823981\pi\) |
0.945850 | + | 0.324603i | \(0.105231\pi\) | |||||||
\(230\) | −6.00192 | + | 11.7601i | −0.395755 | + | 0.775439i | ||||
\(231\) | −2.64477 | − | 0.260487i | −0.174013 | − | 0.0171388i | ||||
\(232\) | −6.67944 | − | 3.93279i | −0.438527 | − | 0.258200i | ||||
\(233\) | 22.7087 | + | 18.6365i | 1.48770 | + | 1.22092i | 0.916455 | + | 0.400138i | \(0.131038\pi\) |
0.571241 | + | 0.820783i | \(0.306462\pi\) | |||||||
\(234\) | −13.0900 | − | 12.6026i | −0.855723 | − | 0.823856i | ||||
\(235\) | 5.90170 | − | 7.95752i | 0.384985 | − | 0.519092i | ||||
\(236\) | −19.0120 | − | 5.99942i | −1.23758 | − | 0.390529i | ||||
\(237\) | 1.18666 | + | 2.50897i | 0.0770816 | + | 0.162975i | ||||
\(238\) | 11.9216 | + | 0.359147i | 0.772764 | + | 0.0232801i | ||||
\(239\) | −4.76147 | − | 23.9375i | −0.307994 | − | 1.54839i | −0.756129 | − | 0.654423i | \(-0.772912\pi\) |
0.448135 | − | 0.893966i | \(-0.352088\pi\) | |||||||
\(240\) | −3.62416 | − | 3.11202i | −0.233939 | − | 0.200880i | ||||
\(241\) | 3.83815 | − | 19.2957i | 0.247237 | − | 1.24295i | −0.635138 | − | 0.772399i | \(-0.719057\pi\) |
0.882375 | − | 0.470547i | \(-0.155943\pi\) | |||||||
\(242\) | −9.82902 | − | 2.26479i | −0.631833 | − | 0.145586i | ||||
\(243\) | −10.4126 | + | 11.4885i | −0.667967 | + | 0.736989i | ||||
\(244\) | 9.24513 | + | 3.95075i | 0.591859 | + | 0.252921i | ||||
\(245\) | 3.10068 | + | 5.17318i | 0.198095 | + | 0.330502i | ||||
\(246\) | −2.56901 | + | 0.561870i | −0.163794 | + | 0.0358235i | ||||
\(247\) | −0.621455 | − | 0.188516i | −0.0395423 | − | 0.0119950i | ||||
\(248\) | 6.45033 | + | 15.2342i | 0.409596 | + | 0.967373i | ||||
\(249\) | 2.33484 | + | 1.24800i | 0.147964 | + | 0.0790887i | ||||
\(250\) | −1.95607 | − | 16.6213i | −0.123713 | − | 1.05123i | ||||
\(251\) | 9.06457 | + | 0.445314i | 0.572151 | + | 0.0281080i | 0.333087 | − | 0.942896i | \(-0.391910\pi\) |
0.239063 | + | 0.971004i | \(0.423160\pi\) | |||||||
\(252\) | −8.33383 | − | 2.18651i | −0.524982 | − | 0.137737i | ||||
\(253\) | −1.71427 | + | 11.5567i | −0.107775 | + | 0.726561i | ||||
\(254\) | 3.89431 | − | 1.05437i | 0.244351 | − | 0.0661572i | ||||
\(255\) | 5.66382 | 0.354682 | ||||||||
\(256\) | −8.28737 | − | 13.6865i | −0.517961 | − | 0.855404i | ||||
\(257\) | −19.1802 | −1.19643 | −0.598213 | − | 0.801337i | \(-0.704122\pi\) | ||||
−0.598213 | + | 0.801337i | \(0.704122\pi\) | |||||||
\(258\) | 3.45364 | − | 0.935061i | 0.215014 | − | 0.0582144i | ||||
\(259\) | 2.93186 | − | 19.7650i | 0.182177 | − | 1.22814i | ||||
\(260\) | 4.23056 | − | 16.1247i | 0.262368 | − | 1.00001i | ||||
\(261\) | −6.63094 | − | 0.325757i | −0.410445 | − | 0.0201639i | ||||
\(262\) | 3.27377 | + | 27.8182i | 0.202254 | + | 1.71862i | ||||
\(263\) | −25.9899 | − | 13.8919i | −1.60261 | − | 0.856612i | −0.998202 | − | 0.0599360i | \(-0.980910\pi\) |
−0.604406 | − | 0.796676i | \(-0.706590\pi\) | |||||||
\(264\) | −3.91777 | − | 1.58699i | −0.241122 | − | 0.0976726i | ||||
\(265\) | −6.41312 | − | 1.94540i | −0.393955 | − | 0.119505i | ||||
\(266\) | −0.300820 | + | 0.0657927i | −0.0184445 | + | 0.00403401i | ||||
\(267\) | 4.12213 | + | 6.87735i | 0.252270 | + | 0.420887i | ||||
\(268\) | 7.91675 | − | 18.5260i | 0.483592 | − | 1.13165i | ||||
\(269\) | 6.85690 | − | 7.56542i | 0.418072 | − | 0.461272i | −0.495106 | − | 0.868833i | \(-0.664871\pi\) |
0.913178 | + | 0.407561i | \(0.133621\pi\) | |||||||
\(270\) | −8.92432 | − | 2.05633i | −0.543117 | − | 0.125144i | ||||
\(271\) | −3.16392 | + | 15.9061i | −0.192194 | + | 0.966226i | 0.757449 | + | 0.652894i | \(0.226445\pi\) |
−0.949644 | + | 0.313332i | \(0.898555\pi\) | |||||||
\(272\) | 18.0264 | + | 5.91012i | 1.09301 | + | 0.358354i | ||||
\(273\) | 1.39823 | + | 7.02937i | 0.0846246 | + | 0.425437i | ||||
\(274\) | −16.5554 | − | 0.498744i | −1.00015 | − | 0.0301302i | ||||
\(275\) | −2.12752 | − | 4.49826i | −0.128294 | − | 0.271255i | ||||
\(276\) | 2.71700 | − | 8.61008i | 0.163544 | − | 0.518266i | ||||
\(277\) | −3.93187 | + | 5.30151i | −0.236243 | + | 0.318537i | −0.905380 | − | 0.424602i | \(-0.860414\pi\) |
0.669137 | + | 0.743139i | \(0.266664\pi\) | |||||||
\(278\) | −2.33687 | − | 2.24985i | −0.140156 | − | 0.134937i | ||||
\(279\) | 10.9532 | + | 8.98904i | 0.655749 | + | 0.538159i | ||||
\(280\) | −1.98058 | − | 7.65235i | −0.118362 | − | 0.457316i | ||||
\(281\) | 19.9902 | + | 1.96886i | 1.19252 | + | 0.117453i | 0.674735 | − | 0.738060i | \(-0.264258\pi\) |
0.517782 | + | 0.855513i | \(0.326758\pi\) | |||||||
\(282\) | −3.07968 | + | 6.03430i | −0.183392 | + | 0.359337i | ||||
\(283\) | −3.97866 | + | 8.41217i | −0.236507 | + | 0.500052i | −0.986979 | − | 0.160851i | \(-0.948576\pi\) |
0.750472 | + | 0.660902i | \(0.229826\pi\) | |||||||
\(284\) | 22.0599 | + | 20.4463i | 1.30901 | + | 1.21327i | ||||
\(285\) | −0.141846 | + | 0.0355305i | −0.00840222 | + | 0.00210465i | ||||
\(286\) | −1.00316 | − | 14.7170i | −0.0593184 | − | 0.870237i | ||||
\(287\) | −4.02023 | − | 1.66523i | −0.237307 | − | 0.0982957i | ||||
\(288\) | −11.7308 | − | 7.08425i | −0.691246 | − | 0.417443i | ||||
\(289\) | −5.07441 | + | 2.10189i | −0.298495 | + | 0.123641i | ||||
\(290\) | −2.70812 | − | 5.45561i | −0.159026 | − | 0.320364i | ||||
\(291\) | −7.69783 | − | 4.61390i | −0.451255 | − | 0.270472i | ||||
\(292\) | 1.23709 | − | 2.01274i | 0.0723951 | − | 0.117787i | ||||
\(293\) | 2.28554 | + | 6.38766i | 0.133523 | + | 0.373171i | 0.989632 | − | 0.143623i | \(-0.0458752\pi\) |
−0.856110 | + | 0.516794i | \(0.827125\pi\) | |||||||
\(294\) | −2.67644 | − | 3.13792i | −0.156093 | − | 0.183007i | ||||
\(295\) | −9.93804 | − | 12.1095i | −0.578615 | − | 0.705044i | ||||
\(296\) | 13.3630 | − | 28.8352i | 0.776706 | − | 1.67601i | ||||
\(297\) | −8.06480 | + | 0.794313i | −0.467967 | + | 0.0460907i | ||||
\(298\) | −7.09671 | + | 18.0965i | −0.411101 | + | 1.04830i | ||||
\(299\) | 31.1666 | − | 4.62313i | 1.80241 | − | 0.267363i | ||||
\(300\) | 1.07518 | + | 3.69205i | 0.0620756 | + | 0.213160i | ||||
\(301\) | 5.57446 | + | 1.99457i | 0.321307 | + | 0.114965i | ||||
\(302\) | −19.2331 | − | 8.65402i | −1.10674 | − | 0.497983i | ||||
\(303\) | 5.77790 | − | 8.64724i | 0.331932 | − | 0.496771i | ||||
\(304\) | −0.488532 | − | 0.0349303i | −0.0280192 | − | 0.00200339i | ||||
\(305\) | 4.38909 | + | 6.56874i | 0.251319 | + | 0.376125i | ||||
\(306\) | 16.0242 | − | 2.68857i | 0.916045 | − | 0.153695i | ||||
\(307\) | −5.38992 | + | 0.264790i | −0.307619 | + | 0.0151124i | −0.202292 | − | 0.979325i | \(-0.564839\pi\) |
−0.105327 | + | 0.994438i | \(0.533589\pi\) | |||||||
\(308\) | −3.82087 | − | 5.85865i | −0.217714 | − | 0.333828i | ||||
\(309\) | 3.97088 | + | 0.994654i | 0.225896 | + | 0.0565839i | ||||
\(310\) | −2.29378 | + | 12.7956i | −0.130278 | + | 0.726741i | ||||
\(311\) | 6.33826 | + | 11.8580i | 0.359410 | + | 0.672408i | 0.995028 | − | 0.0995953i | \(-0.0317548\pi\) |
−0.635618 | + | 0.772003i | \(0.719255\pi\) | |||||||
\(312\) | −1.02855 | + | 11.3531i | −0.0582302 | + | 0.642742i | ||||
\(313\) | −21.9908 | + | 6.67083i | −1.24299 | + | 0.377058i | −0.842227 | − | 0.539123i | \(-0.818756\pi\) |
−0.400765 | + | 0.916181i | \(0.631256\pi\) | |||||||
\(314\) | 1.27540 | − | 0.713144i | 0.0719748 | − | 0.0402451i | ||||
\(315\) | −4.54659 | − | 5.01639i | −0.256171 | − | 0.282641i | ||||
\(316\) | −3.19658 | + | 6.56817i | −0.179821 | + | 0.369488i | ||||
\(317\) | 6.36645 | + | 8.58416i | 0.357575 | + | 0.482135i | 0.944966 | − | 0.327169i | \(-0.106095\pi\) |
−0.587390 | + | 0.809304i | \(0.699845\pi\) | |||||||
\(318\) | 4.54510 | + | 0.586317i | 0.254877 | + | 0.0328790i | ||||
\(319\) | −3.81100 | − | 3.81100i | −0.213375 | − | 0.213375i | ||||
\(320\) | 0.420314 | − | 12.5655i | 0.0234963 | − | 0.702431i | ||||
\(321\) | 6.95706 | − | 6.95706i | 0.388305 | − | 0.388305i | ||||
\(322\) | 11.8288 | − | 9.12565i | 0.659192 | − | 0.508553i | ||||
\(323\) | 0.466430 | − | 0.345928i | 0.0259529 | − | 0.0192480i | ||||
\(324\) | −8.25771 | − | 0.497991i | −0.458762 | − | 0.0276662i | ||||
\(325\) | −9.94325 | + | 9.01204i | −0.551552 | + | 0.499898i | ||||
\(326\) | 15.3281 | + | 4.33396i | 0.848944 | + | 0.240036i | ||||
\(327\) | 2.66963 | + | 8.80058i | 0.147631 | + | 0.486673i | ||||
\(328\) | −5.38437 | − | 4.34877i | −0.297302 | − | 0.240121i | ||||
\(329\) | −9.88660 | + | 5.28450i | −0.545066 | + | 0.291344i | ||||
\(330\) | −1.89738 | − | 2.72622i | −0.104447 | − | 0.150073i | ||||
\(331\) | 5.62323 | − | 22.4492i | 0.309081 | − | 1.23392i | −0.594006 | − | 0.804461i | \(-0.702454\pi\) |
0.903086 | − | 0.429459i | \(-0.141296\pi\) | |||||||
\(332\) | 1.28311 | + | 6.84868i | 0.0704196 | + | 0.375870i | ||||
\(333\) | −1.33565 | − | 27.1877i | −0.0731930 | − | 1.48988i | ||||
\(334\) | −8.53954 | − | 6.08570i | −0.467263 | − | 0.332995i | ||||
\(335\) | 13.1628 | − | 8.79513i | 0.719163 | − | 0.480529i | ||||
\(336\) | 2.20156 | + | 4.93661i | 0.120105 | + | 0.269314i | ||||
\(337\) | 7.73840 | + | 5.17063i | 0.421537 | + | 0.281662i | 0.748193 | − | 0.663481i | \(-0.230922\pi\) |
−0.326656 | + | 0.945143i | \(0.605922\pi\) | |||||||
\(338\) | −20.0059 | + | 7.58932i | −1.08818 | + | 0.412805i | ||||
\(339\) | 0.833084 | − | 2.32831i | 0.0452469 | − | 0.126457i | ||||
\(340\) | 9.32766 | + | 11.6277i | 0.505864 | + | 0.630600i | ||||
\(341\) | 1.68784 | + | 11.3785i | 0.0914015 | + | 0.616179i | ||||
\(342\) | −0.384448 | + | 0.167857i | −0.0207886 | + | 0.00907666i | ||||
\(343\) | −1.88903 | − | 19.1797i | −0.101998 | − | 1.03560i | ||||
\(344\) | 7.60741 | + | 5.55030i | 0.410164 | + | 0.299252i | ||||
\(345\) | 5.48412 | − | 4.50070i | 0.295255 | − | 0.242310i | ||||
\(346\) | 19.0566 | + | 1.51252i | 1.02449 | + | 0.0813137i | ||||
\(347\) | 13.2337 | − | 4.73510i | 0.710424 | − | 0.254194i | 0.0432163 | − | 0.999066i | \(-0.486240\pi\) |
0.667207 | + | 0.744872i | \(0.267490\pi\) | |||||||
\(348\) | 2.44365 | + | 3.37281i | 0.130993 | + | 0.180802i | ||||
\(349\) | −3.62365 | + | 6.04570i | −0.193970 | + | 0.323619i | −0.939313 | − | 0.343063i | \(-0.888536\pi\) |
0.745343 | + | 0.666681i | \(0.232286\pi\) | |||||||
\(350\) | −2.02962 | + | 6.03071i | −0.108488 | + | 0.322355i | ||||
\(351\) | 8.36348 | + | 20.1912i | 0.446409 | + | 1.07773i | ||||
\(352\) | −3.19406 | − | 10.6567i | −0.170244 | − | 0.568003i | ||||
\(353\) | −3.17457 | + | 7.66410i | −0.168965 | + | 0.407919i | −0.985568 | − | 0.169282i | \(-0.945855\pi\) |
0.816602 | + | 0.577201i | \(0.195855\pi\) | |||||||
\(354\) | 8.07237 | + | 7.04211i | 0.429042 | + | 0.374284i | ||||
\(355\) | 5.74278 | + | 22.9265i | 0.304795 | + | 1.21681i | ||||
\(356\) | −7.33037 | + | 19.7888i | −0.388509 | + | 1.04881i | ||||
\(357\) | −5.79348 | − | 2.74011i | −0.306624 | − | 0.145022i | ||||
\(358\) | 0.873660 | − | 0.283228i | 0.0461744 | − | 0.0149691i | ||||
\(359\) | 1.66601 | − | 16.9153i | 0.0879286 | − | 0.892754i | −0.845496 | − | 0.533981i | \(-0.820695\pi\) |
0.933425 | − | 0.358773i | \(-0.116805\pi\) | |||||||
\(360\) | −4.68008 | − | 9.69813i | −0.246662 | − | 0.511136i | ||||
\(361\) | 12.0440 | − | 14.6756i | 0.633893 | − | 0.772400i | ||||
\(362\) | 17.0102 | − | 0.322736i | 0.894037 | − | 0.0169626i | ||||
\(363\) | 4.35327 | + | 3.22860i | 0.228487 | + | 0.169458i | ||||
\(364\) | −12.1284 | + | 14.4471i | −0.635701 | + | 0.757234i | ||||
\(365\) | 1.67819 | − | 0.793723i | 0.0878403 | − | 0.0415454i | ||||
\(366\) | −3.70324 | − | 3.93330i | −0.193572 | − | 0.205597i | ||||
\(367\) | −31.2191 | + | 6.20986i | −1.62962 | + | 0.324152i | −0.923400 | − | 0.383839i | \(-0.874602\pi\) |
−0.706222 | + | 0.707991i | \(0.749602\pi\) | |||||||
\(368\) | 22.1509 | − | 8.60189i | 1.15469 | − | 0.448405i | ||||
\(369\) | −5.81411 | − | 1.15650i | −0.302670 | − | 0.0602049i | ||||
\(370\) | 21.1726 | − | 13.2427i | 1.10071 | − | 0.688455i | ||||
\(371\) | 5.61877 | + | 5.09255i | 0.291712 | + | 0.264392i | ||||
\(372\) | 0.0990775 | − | 8.88884i | 0.00513693 | − | 0.460865i | ||||
\(373\) | 12.4470 | − | 7.46044i | 0.644481 | − | 0.386287i | −0.154202 | − | 0.988039i | \(-0.549281\pi\) |
0.798683 | + | 0.601753i | \(0.205531\pi\) | |||||||
\(374\) | 11.1045 | + | 7.11888i | 0.574202 | + | 0.368109i | ||||
\(375\) | −2.61048 | + | 8.60561i | −0.134805 | + | 0.444392i | ||||
\(376\) | −17.4601 | + | 3.61529i | −0.900438 | + | 0.186445i | ||||
\(377\) | −6.85170 | + | 12.8186i | −0.352880 | + | 0.660193i | ||||
\(378\) | 8.13379 | + | 6.42093i | 0.418357 | + | 0.330257i | ||||
\(379\) | −1.25305 | + | 25.5065i | −0.0643650 | + | 1.31018i | 0.721774 | + | 0.692129i | \(0.243327\pi\) |
−0.786139 | + | 0.618050i | \(0.787923\pi\) | |||||||
\(380\) | −0.306547 | − | 0.232691i | −0.0157255 | − | 0.0119368i | ||||
\(381\) | −2.14442 | − | 0.318095i | −0.109862 | − | 0.0162965i | ||||
\(382\) | 11.9423 | + | 6.85342i | 0.611021 | + | 0.350651i | ||||
\(383\) | 25.8761i | 1.32221i | 0.750294 | + | 0.661104i | \(0.229912\pi\) | ||||
−0.750294 | + | 0.661104i | \(0.770088\pi\) | |||||||
\(384\) | 1.13834 | + | 8.52165i | 0.0580904 | + | 0.434868i | ||||
\(385\) | − | 5.49613i | − | 0.280109i | ||||||
\(386\) | 3.62798 | − | 6.32187i | 0.184659 | − | 0.321775i | ||||
\(387\) | 7.97829 | + | 1.18347i | 0.405559 | + | 0.0601590i | ||||
\(388\) | −3.20522 | − | 23.4020i | −0.162720 | − | 1.18806i | ||||
\(389\) | −0.333087 | + | 6.78015i | −0.0168882 | + | 0.343767i | 0.975450 | + | 0.220219i | \(0.0706773\pi\) |
−0.992339 | + | 0.123548i | \(0.960573\pi\) | |||||||
\(390\) | −5.55025 | + | 7.03085i | −0.281048 | + | 0.356021i | ||||
\(391\) | −13.2812 | + | 24.8473i | −0.671658 | + | 1.25658i | ||||
\(392\) | 2.03429 | − | 10.6625i | 0.102747 | − | 0.538536i | ||||
\(393\) | 4.36903 | − | 14.4028i | 0.220388 | − | 0.726523i | ||||
\(394\) | −6.71739 | + | 10.4783i | −0.338417 | + | 0.527888i | ||||
\(395\) | −4.92328 | + | 2.95090i | −0.247717 | + | 0.148476i | ||||
\(396\) | −6.66222 | − | 6.81242i | −0.334789 | − | 0.342337i | ||||
\(397\) | 0.357162 | + | 0.323713i | 0.0179254 | + | 0.0162467i | 0.680473 | − | 0.732774i | \(-0.261775\pi\) |
−0.662547 | + | 0.749020i | \(0.730525\pi\) | |||||||
\(398\) | 4.96116 | + | 7.93199i | 0.248681 | + | 0.397595i | ||||
\(399\) | 0.162282 | + | 0.0322800i | 0.00812428 | + | 0.00161602i | ||||
\(400\) | −5.80898 | + | 8.28770i | −0.290449 | + | 0.414385i | ||||
\(401\) | −2.40126 | + | 0.477639i | −0.119913 | + | 0.0238522i | −0.254682 | − | 0.967025i | \(-0.581971\pi\) |
0.134769 | + | 0.990877i | \(0.456971\pi\) | |||||||
\(402\) | −7.88178 | + | 7.42078i | −0.393107 | + | 0.370115i | ||||
\(403\) | 28.0434 | − | 13.2635i | 1.39694 | − | 0.660704i | ||||
\(404\) | 27.2681 | − | 2.37912i | 1.35664 | − | 0.118366i | ||||
\(405\) | −5.22128 | − | 3.87237i | −0.259448 | − | 0.192419i | ||||
\(406\) | 0.130737 | + | 6.89067i | 0.00648838 | + | 0.341978i | ||||
\(407\) | 14.0188 | − | 17.0819i | 0.694885 | − | 0.846720i | ||||
\(408\) | −7.60621 | − | 6.78622i | −0.376564 | − | 0.335968i | ||||
\(409\) | 3.91011 | − | 39.7000i | 0.193342 | − | 1.96304i | −0.0676877 | − | 0.997707i | \(-0.521562\pi\) |
0.261030 | − | 0.965331i | \(-0.415938\pi\) | |||||||
\(410\) | −1.67717 | − | 5.17349i | −0.0828296 | − | 0.255501i | ||||
\(411\) | 8.04535 | + | 3.80517i | 0.396848 | + | 0.187695i | ||||
\(412\) | 4.49759 | + | 9.79021i | 0.221580 | + | 0.482329i | ||||
\(413\) | 4.30705 | + | 17.1947i | 0.211936 | + | 0.846096i | ||||
\(414\) | 13.3794 | − | 15.3368i | 0.657561 | − | 0.753762i | ||||
\(415\) | −2.09527 | + | 5.05842i | −0.102853 | + | 0.248308i | ||||
\(416\) | −25.0015 | + | 16.5857i | −1.22580 | + | 0.813179i | ||||
\(417\) | 0.667036 | + | 1.61037i | 0.0326649 | + | 0.0788601i | ||||
\(418\) | −0.322763 | − | 0.108625i | −0.0157868 | − | 0.00531303i | ||||
\(419\) | 12.4063 | − | 20.6987i | 0.606087 | − | 1.01120i | −0.389826 | − | 0.920888i | \(-0.627465\pi\) |
0.995914 | − | 0.0903075i | \(-0.0287850\pi\) | |||||||
\(420\) | −0.670005 | + | 4.19418i | −0.0326929 | + | 0.204655i | ||||
\(421\) | −22.4235 | + | 8.02326i | −1.09286 | + | 0.391030i | −0.820779 | − | 0.571246i | \(-0.806460\pi\) |
−0.272076 | + | 0.962276i | \(0.587710\pi\) | |||||||
\(422\) | 3.05993 | − | 38.5527i | 0.148955 | − | 1.87672i | ||||
\(423\) | −11.8053 | + | 9.68834i | −0.573992 | + | 0.471063i | ||||
\(424\) | 6.28157 | + | 10.2966i | 0.305060 | + | 0.500046i | ||||
\(425\) | −1.17618 | − | 11.9420i | −0.0570533 | − | 0.579272i | ||||
\(426\) | −6.46705 | − | 14.8117i | −0.313330 | − | 0.717629i | ||||
\(427\) | −1.31167 | − | 8.84253i | −0.0634759 | − | 0.427920i | ||||
\(428\) | 25.7401 | + | 2.82519i | 1.24420 | + | 0.136561i | ||||
\(429\) | −2.67030 | + | 7.46298i | −0.128923 | + | 0.360316i | ||||
\(430\) | 2.62458 | + | 6.91854i | 0.126568 | + | 0.333642i | ||||
\(431\) | 8.55894 | + | 5.71890i | 0.412270 | + | 0.275470i | 0.744361 | − | 0.667777i | \(-0.232754\pi\) |
−0.332091 | + | 0.943247i | \(0.607754\pi\) | |||||||
\(432\) | 9.52107 | + | 13.4544i | 0.458082 | + | 0.647326i | ||||
\(433\) | 24.4236 | − | 16.3193i | 1.17372 | − | 0.784257i | 0.193296 | − | 0.981140i | \(-0.438082\pi\) |
0.980427 | + | 0.196884i | \(0.0630821\pi\) | |||||||
\(434\) | 8.53670 | − | 11.9788i | 0.409775 | − | 0.575002i | ||||
\(435\) | 0.160588 | + | 3.26884i | 0.00769959 | + | 0.156729i | ||||
\(436\) | −13.6708 | + | 19.9742i | −0.654713 | + | 0.956592i | ||||
\(437\) | 0.176743 | − | 0.705598i | 0.00845476 | − | 0.0337533i | ||||
\(438\) | −1.04195 | + | 0.725171i | −0.0497863 | + | 0.0346500i | ||||
\(439\) | 0.291767 | − | 0.155952i | 0.0139253 | − | 0.00744320i | −0.464419 | − | 0.885615i | \(-0.653737\pi\) |
0.478345 | + | 0.878172i | \(0.341237\pi\) | |||||||
\(440\) | 2.47209 | − | 8.38504i | 0.117852 | − | 0.399741i | ||||
\(441\) | −2.69881 | − | 8.89678i | −0.128515 | − | 0.423656i | ||||
\(442\) | 9.67865 | − | 34.2309i | 0.460366 | − | 1.62820i | ||||
\(443\) | 6.96994 | − | 6.31719i | 0.331152 | − | 0.300139i | −0.489001 | − | 0.872283i | \(-0.662638\pi\) |
0.820153 | + | 0.572145i | \(0.193888\pi\) | |||||||
\(444\) | −12.7803 | + | 11.3265i | −0.606526 | + | 0.537533i | ||||
\(445\) | −13.3190 | + | 9.87804i | −0.631381 | + | 0.468264i | ||||
\(446\) | 17.9858 | + | 23.3133i | 0.851650 | + | 1.10392i | ||||
\(447\) | 7.38563 | − | 7.38563i | 0.349328 | − | 0.349328i | ||||
\(448\) | −6.50901 | + | 12.6498i | −0.307522 | + | 0.597646i | ||||
\(449\) | 1.59529 | + | 1.59529i | 0.0752866 | + | 0.0752866i | 0.743747 | − | 0.668461i | \(-0.233047\pi\) |
−0.668461 | + | 0.743747i | \(0.733047\pi\) | |||||||
\(450\) | −1.10904 | + | 8.59720i | −0.0522805 | + | 0.405276i | ||||
\(451\) | −2.86676 | − | 3.86538i | −0.134991 | − | 0.182014i | ||||
\(452\) | 6.15197 | − | 2.12417i | 0.289364 | − | 0.0999124i | ||||
\(453\) | 7.61050 | + | 8.39689i | 0.357572 | + | 0.394520i | ||||
\(454\) | 8.86324 | + | 15.8511i | 0.415972 | + | 0.743931i | ||||
\(455\) | −14.1840 | + | 4.30268i | −0.664957 | + | 0.201713i | ||||
\(456\) | 0.233063 | + | 0.122240i | 0.0109142 | + | 0.00572440i | ||||
\(457\) | −16.4232 | − | 30.7257i | −0.768246 | − | 1.43729i | −0.895334 | − | 0.445395i | \(-0.853063\pi\) |
0.127088 | − | 0.991891i | \(-0.459437\pi\) | |||||||
\(458\) | −4.67500 | − | 0.838054i | −0.218449 | − | 0.0391597i | ||||
\(459\) | −18.9569 | − | 4.74845i | −0.884832 | − | 0.221639i | ||||
\(460\) | 18.2716 | + | 3.84663i | 0.851916 | + | 0.179350i | ||||
\(461\) | 23.2635 | − | 1.14286i | 1.08349 | − | 0.0532283i | 0.500521 | − | 0.865725i | \(-0.333142\pi\) |
0.582966 | + | 0.812496i | \(0.301892\pi\) | |||||||
\(462\) | 0.621892 | + | 3.70656i | 0.0289330 | + | 0.172445i | ||||
\(463\) | −22.6385 | − | 33.8809i | −1.05210 | − | 1.57458i | −0.793476 | − | 0.608602i | \(-0.791731\pi\) |
−0.258625 | − | 0.965978i | \(-0.583269\pi\) | |||||||
\(464\) | −2.89988 | + | 10.5714i | −0.134624 | + | 0.490765i | ||||
\(465\) | 3.88072 | − | 5.80791i | 0.179964 | − | 0.269335i | ||||
\(466\) | 17.0473 | − | 37.8867i | 0.789699 | − | 1.75507i | ||||
\(467\) | −13.0423 | − | 4.66662i | −0.603527 | − | 0.215945i | 0.0173553 | − | 0.999849i | \(-0.494475\pi\) |
−0.620882 | + | 0.783904i | \(0.713225\pi\) | |||||||
\(468\) | −12.3654 | + | 22.5265i | −0.571593 | + | 1.04129i | ||||
\(469\) | −17.7192 | + | 2.62839i | −0.818197 | + | 0.121368i | ||||
\(470\) | −13.0437 | − | 5.11521i | −0.601663 | − | 0.235947i | ||||
\(471\) | −0.781391 | + | 0.0769603i | −0.0360046 | + | 0.00354614i | ||||
\(472\) | −1.16302 | + | 28.1699i | −0.0535323 | + | 1.29663i | ||||
\(473\) | 4.15384 | + | 5.06147i | 0.190994 | + | 0.232727i | ||||
\(474\) | 2.98634 | − | 2.54715i | 0.137167 | − | 0.116994i | ||||
\(475\) | 0.104372 | + | 0.291699i | 0.00478889 | + | 0.0133841i | ||||
\(476\) | −3.91582 | − | 16.4065i | −0.179481 | − | 0.751992i | ||||
\(477\) | 8.86084 | + | 5.31098i | 0.405710 | + | 0.243173i | ||||
\(478\) | −30.9165 | + | 15.3467i | −1.41409 | + | 0.701942i | ||||
\(479\) | −31.6007 | + | 13.0894i | −1.44387 | + | 0.598071i | −0.960733 | − | 0.277473i | \(-0.910503\pi\) |
−0.483138 | + | 0.875544i | \(0.660503\pi\) | |||||||
\(480\) | −2.90867 | + | 6.09739i | −0.132762 | + | 0.278306i | ||||
\(481\) | −55.0585 | − | 22.8060i | −2.51045 | − | 1.03986i | ||||
\(482\) | −27.7584 | + | 1.89211i | −1.26436 | + | 0.0861833i | ||||
\(483\) | −7.78708 | + | 1.95056i | −0.354324 | + | 0.0887536i | ||||
\(484\) | 0.541090 | + | 14.2543i | 0.0245950 | + | 0.647923i | ||||
\(485\) | 7.93565 | − | 16.7785i | 0.360339 | − | 0.761873i | ||||
\(486\) | 19.5309 | + | 9.96785i | 0.885941 | + | 0.452151i | ||||
\(487\) | 18.7051 | + | 1.84229i | 0.847607 | + | 0.0834820i | 0.512489 | − | 0.858694i | \(-0.328724\pi\) |
0.335118 | + | 0.942176i | \(0.391224\pi\) | |||||||
\(488\) | 1.97615 | − | 14.0804i | 0.0894561 | − | 0.637388i | ||||
\(489\) | −6.61635 | − | 5.42990i | −0.299202 | − | 0.245548i | ||||
\(490\) | 5.91576 | − | 6.14458i | 0.267247 | − | 0.277584i | ||||
\(491\) | 6.14121 | − | 8.28046i | 0.277149 | − | 0.373692i | −0.642598 | − | 0.766203i | \(-0.722144\pi\) |
0.919747 | + | 0.392511i | \(0.128394\pi\) | |||||||
\(492\) | 1.71646 | + | 3.29920i | 0.0773840 | + | 0.148740i | ||||
\(493\) | −5.55696 | − | 11.7492i | −0.250273 | − | 0.529158i | ||||
\(494\) | −0.0276554 | + | 0.918001i | −0.00124428 | + | 0.0413028i | ||||
\(495\) | −1.46072 | − | 7.34352i | −0.0656544 | − | 0.330067i | ||||
\(496\) | 18.4117 | − | 14.4355i | 0.826711 | − | 0.648173i | ||||
\(497\) | 5.21740 | − | 26.2296i | 0.234032 | − | 1.17656i | ||||
\(498\) | 0.840673 | − | 3.64846i | 0.0376714 | − | 0.163491i | ||||
\(499\) | 27.5646 | − | 30.4128i | 1.23396 | − | 1.36147i | 0.324385 | − | 0.945925i | \(-0.394843\pi\) |
0.909575 | − | 0.415540i | \(-0.136407\pi\) | |||||||
\(500\) | −21.9663 | + | 8.81320i | −0.982362 | + | 0.394138i | ||||
\(501\) | 2.89675 | + | 4.83293i | 0.129417 | + | 0.215919i | ||||
\(502\) | −2.74227 | − | 12.5383i | −0.122393 | − | 0.559613i | ||||
\(503\) | 6.00866 | + | 1.82271i | 0.267913 | + | 0.0812705i | 0.421383 | − | 0.906883i | \(-0.361545\pi\) |
−0.153470 | + | 0.988153i | \(0.549045\pi\) | |||||||
\(504\) | 0.0953439 | + | 12.1843i | 0.00424695 | + | 0.542733i | ||||
\(505\) | 18.9685 | + | 10.1389i | 0.844087 | + | 0.451174i | ||||
\(506\) | 16.4092 | − | 1.93110i | 0.729477 | − | 0.0858480i | ||||
\(507\) | 11.4835 | + | 0.564149i | 0.510001 | + | 0.0250547i | ||||
\(508\) | −2.87858 | − | 4.92631i | −0.127716 | − | 0.218570i | ||||
\(509\) | 4.62865 | − | 31.2038i | 0.205161 | − | 1.38309i | −0.604695 | − | 0.796457i | \(-0.706705\pi\) |
0.809856 | − | 0.586628i | \(-0.199545\pi\) | |||||||
\(510\) | −2.09327 | − | 7.73149i | −0.0926918 | − | 0.342356i | ||||
\(511\) | −2.10060 | −0.0929252 | ||||||||
\(512\) | −15.6200 | + | 16.3712i | −0.690314 | + | 0.723510i | ||||
\(513\) | 0.504548 | 0.0222763 | ||||||||
\(514\) | 7.08874 | + | 26.1822i | 0.312671 | + | 1.15485i | ||||
\(515\) | −1.24221 | + | 8.37427i | −0.0547381 | + | 0.369015i | ||||
\(516\) | −2.55284 | − | 4.36886i | −0.112383 | − | 0.192328i | ||||
\(517\) | −12.3829 | − | 0.608333i | −0.544600 | − | 0.0267545i | ||||
\(518\) | −28.0641 | + | 3.30270i | −1.23306 | + | 0.145112i | ||||
\(519\) | −9.05906 | − | 4.84217i | −0.397648 | − | 0.212548i | ||||
\(520\) | −23.5748 | + | 0.184476i | −1.03382 | + | 0.00808979i | ||||
\(521\) | −37.4796 | − | 11.3693i | −1.64201 | − | 0.498099i | −0.671877 | − | 0.740663i | \(-0.734512\pi\) |
−0.970135 | + | 0.242564i | \(0.922012\pi\) | |||||||
\(522\) | 2.00603 | + | 9.17206i | 0.0878015 | + | 0.401450i | ||||
\(523\) | 11.0551 | + | 18.4444i | 0.483407 | + | 0.806516i | 0.998725 | − | 0.0504833i | \(-0.0160762\pi\) |
−0.515318 | + | 0.856999i | \(0.672326\pi\) | |||||||
\(524\) | 36.7638 | − | 14.7502i | 1.60603 | − | 0.644365i | ||||
\(525\) | 2.29613 | − | 2.53338i | 0.100211 | − | 0.110566i | ||||
\(526\) | −9.35783 | + | 40.6123i | −0.408021 | + | 1.77078i | ||||
\(527\) | −5.41175 | + | 27.2067i | −0.235739 | + | 1.18514i | ||||
\(528\) | −0.718392 | + | 5.93455i | −0.0312640 | + | 0.258268i | ||||
\(529\) | 2.39783 | + | 12.0547i | 0.104254 | + | 0.524118i | ||||
\(530\) | −0.285391 | + | 9.47332i | −0.0123966 | + | 0.411495i | ||||
\(531\) | 10.3246 | + | 21.8296i | 0.448051 | + | 0.947324i | ||||
\(532\) | 0.200991 | + | 0.386323i | 0.00871405 | + | 0.0167492i | ||||
\(533\) | −7.73124 | + | 10.4244i | −0.334877 | + | 0.451530i | ||||
\(534\) | 7.86455 | − | 8.16876i | 0.340333 | − | 0.353497i | ||||
\(535\) | 15.7289 | + | 12.9084i | 0.680019 | + | 0.558077i | ||||
\(536\) | −28.2151 | − | 3.95993i | −1.21871 | − | 0.171043i | ||||
\(537\) | −0.491123 | − | 0.0483714i | −0.0211935 | − | 0.00208738i | ||||
\(538\) | −12.8615 | − | 6.56404i | −0.554500 | − | 0.282996i | ||||
\(539\) | 3.22698 | − | 6.82287i | 0.138996 | − | 0.293882i | ||||
\(540\) | 0.491286 | + | 12.9423i | 0.0211416 | + | 0.556947i | ||||
\(541\) | −15.6792 | + | 3.92744i | −0.674103 | + | 0.168854i | −0.564892 | − | 0.825165i | \(-0.691082\pi\) |
−0.109211 | + | 0.994019i | \(0.534832\pi\) | |||||||
\(542\) | 22.8822 | − | 1.55973i | 0.982875 | − | 0.0669961i | ||||
\(543\) | −8.44593 | − | 3.49842i | −0.362449 | − | 0.150131i | ||||
\(544\) | 1.40538 | − | 26.7915i | 0.0602553 | − | 1.14868i | ||||
\(545\) | −17.5717 | + | 7.27844i | −0.752689 | + | 0.311774i | ||||
\(546\) | 9.07879 | − | 4.50664i | 0.388536 | − | 0.192866i | ||||
\(547\) | −5.70256 | − | 3.41798i | −0.243824 | − | 0.146142i | 0.386971 | − | 0.922092i | \(-0.373521\pi\) |
−0.630795 | + | 0.775949i | \(0.717271\pi\) | |||||||
\(548\) | 5.43786 | + | 22.7836i | 0.232294 | + | 0.973267i | ||||
\(549\) | −4.10265 | − | 11.4661i | −0.175097 | − | 0.489363i | ||||
\(550\) | −5.35412 | + | 4.56670i | −0.228300 | + | 0.194725i | ||||
\(551\) | 0.212875 | + | 0.259389i | 0.00906879 | + | 0.0110504i | ||||
\(552\) | −12.7575 | − | 0.526704i | −0.542995 | − | 0.0224180i | ||||
\(553\) | 6.46362 | − | 0.636611i | 0.274861 | − | 0.0270714i | ||||
\(554\) | 8.69009 | + | 3.40789i | 0.369206 | + | 0.144787i | ||||
\(555\) | −13.2736 | + | 1.96895i | −0.563432 | + | 0.0835773i | ||||
\(556\) | −2.20752 | + | 4.02150i | −0.0936195 | + | 0.170550i | ||||
\(557\) | −21.5599 | − | 7.71425i | −0.913522 | − | 0.326863i | −0.162168 | − | 0.986763i | \(-0.551849\pi\) |
−0.751354 | + | 0.659900i | \(0.770599\pi\) | |||||||
\(558\) | 8.22248 | − | 18.2740i | 0.348085 | − | 0.773602i | ||||
\(559\) | 9.81043 | − | 14.6823i | 0.414937 | − | 0.620997i | ||||
\(560\) | −9.71397 | + | 5.53183i | −0.410490 | + | 0.233762i | ||||
\(561\) | −3.93772 | − | 5.89321i | −0.166251 | − | 0.248811i | ||||
\(562\) | −4.70050 | − | 28.0156i | −0.198279 | − | 1.18177i | ||||
\(563\) | −3.92225 | + | 0.192688i | −0.165303 | + | 0.00812083i | −0.131551 | − | 0.991309i | \(-0.541996\pi\) |
−0.0337522 | + | 0.999430i | \(0.510746\pi\) | |||||||
\(564\) | 9.37543 | + | 1.97377i | 0.394777 | + | 0.0831105i | ||||
\(565\) | 4.96088 | + | 1.24264i | 0.208706 | + | 0.0522781i | ||||
\(566\) | 12.9536 | + | 2.32210i | 0.544482 | + | 0.0976053i | ||||
\(567\) | 3.46739 | + | 6.48704i | 0.145617 | + | 0.272430i | ||||
\(568\) | 19.7576 | − | 37.6699i | 0.829009 | − | 1.58059i | ||||
\(569\) | −7.14103 | + | 2.16621i | −0.299367 | + | 0.0908121i | −0.436395 | − | 0.899755i | \(-0.643745\pi\) |
0.137028 | + | 0.990567i | \(0.456245\pi\) | |||||||
\(570\) | 0.100926 | + | 0.180497i | 0.00422732 | + | 0.00756020i | ||||
\(571\) | 26.3383 | + | 29.0599i | 1.10222 | + | 1.21612i | 0.974519 | + | 0.224305i | \(0.0720113\pi\) |
0.127706 | + | 0.991812i | \(0.459239\pi\) | |||||||
\(572\) | −19.7190 | + | 6.80862i | −0.824492 | + | 0.284683i | ||||
\(573\) | −4.40734 | − | 5.94261i | −0.184119 | − | 0.248256i | ||||
\(574\) | −0.787329 | + | 6.10333i | −0.0328625 | + | 0.254748i | ||||
\(575\) | −10.6285 | − | 10.6285i | −0.443237 | − | 0.443237i | ||||
\(576\) | −5.33490 | + | 18.6316i | −0.222288 | + | 0.776317i | ||||
\(577\) | 30.0286 | − | 30.0286i | 1.25011 | − | 1.25011i | 0.294435 | − | 0.955671i | \(-0.404868\pi\) |
0.955671 | − | 0.294435i | \(-0.0951316\pi\) | |||||||
\(578\) | 4.74466 | + | 6.15008i | 0.197352 | + | 0.255809i | ||||
\(579\) | −3.14583 | + | 2.33311i | −0.130736 | + | 0.0969605i | ||||
\(580\) | −6.44638 | + | 5.71309i | −0.267671 | + | 0.237223i | ||||
\(581\) | 4.59046 | − | 4.16055i | 0.190444 | − | 0.172609i | ||||
\(582\) | −3.45326 | + | 12.2133i | −0.143142 | + | 0.506257i | ||||
\(583\) | 2.43447 | + | 8.02537i | 0.100825 | + | 0.332377i | ||||
\(584\) | −3.20473 | − | 0.944825i | −0.132613 | − | 0.0390971i | ||||
\(585\) | −17.8081 | + | 9.51863i | −0.736275 | + | 0.393547i | ||||
\(586\) | 7.87488 | − | 5.48072i | 0.325308 | − | 0.226406i | ||||
\(587\) | −6.95761 | + | 27.7763i | −0.287171 | + | 1.14645i | 0.638957 | + | 0.769243i | \(0.279366\pi\) |
−0.926128 | + | 0.377209i | \(0.876884\pi\) | |||||||
\(588\) | −3.29429 | + | 4.81325i | −0.135854 | + | 0.198495i | ||||
\(589\) | −0.0351413 | − | 0.715318i | −0.00144797 | − | 0.0294742i | ||||
\(590\) | −12.8573 | + | 18.0416i | −0.529328 | + | 0.742761i | ||||
\(591\) | 5.56085 | − | 3.71564i | 0.228743 | − | 0.152841i | ||||
\(592\) | −44.3008 | − | 7.58418i | −1.82075 | − | 0.311708i | ||||
\(593\) | 18.3172 | + | 12.2392i | 0.752197 | + | 0.502602i | 0.871584 | − | 0.490246i | \(-0.163093\pi\) |
−0.119387 | + | 0.992848i | \(0.538093\pi\) | |||||||
\(594\) | 4.06493 | + | 10.7154i | 0.166786 | + | 0.439659i | ||||
\(595\) | 4.46515 | − | 12.4793i | 0.183053 | − | 0.511600i | ||||
\(596\) | 27.3258 | + | 2.99923i | 1.11931 | + | 0.122853i | ||||
\(597\) | −0.737635 | − | 4.97273i | −0.0301894 | − | 0.203520i | ||||
\(598\) | −17.8297 | − | 40.8359i | −0.729110 | − | 1.66990i | ||||
\(599\) | −0.910106 | − | 9.24046i | −0.0371859 | − | 0.377555i | −0.995709 | − | 0.0925400i | \(-0.970501\pi\) |
0.958523 | − | 0.285015i | \(-0.0919986\pi\) | |||||||
\(600\) | 4.64251 | − | 2.83223i | 0.189530 | − | 0.115625i | ||||
\(601\) | −15.4478 | + | 12.6776i | −0.630127 | + | 0.517132i | −0.894372 | − | 0.447324i | \(-0.852377\pi\) |
0.264245 | + | 0.964456i | \(0.414877\pi\) | |||||||
\(602\) | 0.662476 | − | 8.34668i | 0.0270005 | − | 0.340185i | ||||
\(603\) | −22.9765 | + | 8.22113i | −0.935677 | + | 0.334790i | ||||
\(604\) | −4.70499 | + | 29.4529i | −0.191444 | + | 1.19842i | ||||
\(605\) | −5.76248 | + | 9.61412i | −0.234278 | + | 0.390870i | ||||
\(606\) | −13.9395 | − | 4.69131i | −0.566253 | − | 0.190571i | ||||
\(607\) | 6.67636 | + | 16.1182i | 0.270985 | + | 0.654216i | 0.999526 | − | 0.0307864i | \(-0.00980118\pi\) |
−0.728541 | + | 0.685002i | \(0.759801\pi\) | |||||||
\(608\) | 0.132873 | + | 0.679788i | 0.00538871 | + | 0.0275690i | ||||
\(609\) | 1.41718 | − | 3.42136i | 0.0574269 | − | 0.138641i | ||||
\(610\) | 7.34461 | − | 8.41912i | 0.297375 | − | 0.340880i | ||||
\(611\) | 8.12409 | + | 32.4332i | 0.328665 | + | 1.31211i | ||||
\(612\) | −9.59242 | − | 20.8805i | −0.387751 | − | 0.844043i | ||||
\(613\) | 29.5568 | + | 13.9793i | 1.19379 | + | 0.564619i | 0.917993 | − | 0.396598i | \(-0.129809\pi\) |
0.275794 | + | 0.961217i | \(0.411059\pi\) | |||||||
\(614\) | 2.35350 | + | 7.25973i | 0.0949796 | + | 0.292979i | ||||
\(615\) | −0.286438 | + | 2.90825i | −0.0115503 | + | 0.117272i | ||||
\(616\) | −6.58530 | + | 7.38102i | −0.265329 | + | 0.297390i | ||||
\(617\) | −0.00295367 | + | 0.00359905i | −0.000118910 | + | 0.000144892i | −0.773070 | − | 0.634321i | \(-0.781280\pi\) |
0.772951 | + | 0.634466i | \(0.218780\pi\) | |||||||
\(618\) | −0.109818 | − | 5.78813i | −0.00441755 | − | 0.232833i | ||||
\(619\) | −31.9682 | − | 23.7092i | −1.28491 | − | 0.952953i | −0.284925 | − | 0.958550i | \(-0.591969\pi\) |
−0.999984 | + | 0.00559651i | \(0.998219\pi\) | |||||||
\(620\) | 18.3146 | − | 1.59794i | 0.735532 | − | 0.0641747i | ||||
\(621\) | −22.1287 | + | 10.4661i | −0.887996 | + | 0.419991i | ||||
\(622\) | 13.8445 | − | 13.0347i | 0.555113 | − | 0.522645i | ||||
\(623\) | 18.4028 | − | 3.66055i | 0.737294 | − | 0.146657i | ||||
\(624\) | 15.8779 | − | 2.79192i | 0.635623 | − | 0.111766i | ||||
\(625\) | −5.83286 | − | 1.16023i | −0.233315 | − | 0.0464091i | ||||
\(626\) | 17.2336 | + | 27.5534i | 0.688794 | + | 1.10126i | ||||
\(627\) | 0.135586 | + | 0.122888i | 0.00541480 | + | 0.00490769i | ||||
\(628\) | −1.44486 | − | 1.47743i | −0.0576562 | − | 0.0589560i | ||||
\(629\) | 45.7081 | − | 27.3964i | 1.82250 | − | 1.09236i | ||||
\(630\) | −5.16734 | + | 8.06039i | −0.205872 | + | 0.321133i | ||||
\(631\) | −11.8515 | + | 39.0691i | −0.471800 | + | 1.55532i | 0.321758 | + | 0.946822i | \(0.395726\pi\) |
−0.793558 | + | 0.608495i | \(0.791774\pi\) | |||||||
\(632\) | 10.1474 | + | 1.93603i | 0.403642 | + | 0.0770109i | ||||
\(633\) | −9.79600 | + | 18.3270i | −0.389356 | + | 0.728434i | ||||
\(634\) | 9.36499 | − | 11.8632i | 0.371931 | − | 0.471149i | ||||
\(635\) | 0.219991 | − | 4.47801i | 0.00873006 | − | 0.177704i | ||||
\(636\) | −0.879449 | − | 6.42106i | −0.0348724 | − | 0.254611i | ||||
\(637\) | −20.1342 | − | 2.98663i | −0.797747 | − | 0.118335i | ||||
\(638\) | −3.79377 | + | 6.61076i | −0.150197 | + | 0.261723i | ||||
\(639\) | − | 36.4328i | − | 1.44126i | ||||||
\(640\) | −17.3080 | + | 4.07028i | −0.684160 | + | 0.160892i | ||||
\(641\) | 23.8992i | 0.943961i | 0.881609 | + | 0.471981i | \(0.156461\pi\) | ||||
−0.881609 | + | 0.471981i | \(0.843539\pi\) | |||||||
\(642\) | −12.0681 | − | 6.92560i | −0.476289 | − | 0.273332i | ||||
\(643\) | 48.8015 | + | 7.23901i | 1.92454 | + | 0.285479i | 0.996261 | − | 0.0864001i | \(-0.0275363\pi\) |
0.928281 | + | 0.371879i | \(0.121286\pi\) | |||||||
\(644\) | −16.8289 | − | 12.7743i | −0.663151 | − | 0.503379i | ||||
\(645\) | 0.195097 | − | 3.97129i | 0.00768193 | − | 0.156369i | ||||
\(646\) | −0.644602 | − | 0.508858i | −0.0253615 | − | 0.0200207i | ||||
\(647\) | 16.6301 | − | 31.1128i | 0.653797 | − | 1.22317i | −0.308514 | − | 0.951220i | \(-0.599832\pi\) |
0.962312 | − | 0.271949i | \(-0.0876683\pi\) | |||||||
\(648\) | 2.37215 | + | 11.4564i | 0.0931870 | + | 0.450049i | ||||
\(649\) | −5.69065 | + | 18.7596i | −0.223378 | + | 0.736378i | ||||
\(650\) | 15.9769 | + | 10.2425i | 0.626667 | + | 0.401742i | ||||
\(651\) | −6.77938 | + | 4.06340i | −0.265705 | + | 0.159257i | ||||
\(652\) | 0.251077 | − | 22.5256i | 0.00983293 | − | 0.882172i | ||||
\(653\) | 2.75900 | + | 2.50061i | 0.107968 | + | 0.0978564i | 0.723758 | − | 0.690054i | \(-0.242413\pi\) |
−0.615790 | + | 0.787910i | \(0.711163\pi\) | |||||||
\(654\) | 11.0267 | − | 6.89680i | 0.431178 | − | 0.269686i | ||||
\(655\) | 30.5286 | + | 6.07251i | 1.19285 | + | 0.237273i | ||||
\(656\) | −3.94637 | + | 8.95727i | −0.154080 | + | 0.349723i | ||||
\(657\) | −2.80667 | + | 0.558281i | −0.109499 | + | 0.0217806i | ||||
\(658\) | 10.8676 | + | 11.5428i | 0.423665 | + | 0.449984i | ||||
\(659\) | −27.4827 | + | 12.9983i | −1.07057 | + | 0.506344i | −0.879826 | − | 0.475295i | \(-0.842341\pi\) |
−0.190747 | + | 0.981639i | \(0.561091\pi\) | |||||||
\(660\) | −3.02022 | + | 3.59762i | −0.117562 | + | 0.140037i | ||||
\(661\) | 9.13107 | + | 6.77206i | 0.355157 | + | 0.263403i | 0.758537 | − | 0.651630i | \(-0.225915\pi\) |
−0.403380 | + | 0.915033i | \(0.632165\pi\) | |||||||
\(662\) | −32.7229 | + | 0.620854i | −1.27181 | + | 0.0241302i | ||||
\(663\) | −12.1261 | + | 14.7757i | −0.470939 | + | 0.573841i | ||||
\(664\) | 8.87468 | − | 4.28271i | 0.344405 | − | 0.166201i | ||||
\(665\) | −0.0335407 | + | 0.340544i | −0.00130065 | + | 0.0132057i | ||||
\(666\) | −36.6194 | + | 11.8715i | −1.41897 | + | 0.460010i | ||||
\(667\) | −14.7171 | − | 6.96065i | −0.569847 | − | 0.269518i | ||||
\(668\) | −5.15128 | + | 13.9062i | −0.199309 | + | 0.538048i | ||||
\(669\) | −3.84436 | − | 15.3476i | −0.148632 | − | 0.593371i | ||||
\(670\) | −16.8707 | − | 14.7176i | −0.651774 | − | 0.568590i | ||||
\(671\) | 3.78331 | − | 9.13371i | 0.146053 | − | 0.352603i | ||||
\(672\) | 5.92512 | − | 4.82978i | 0.228567 | − | 0.186313i | ||||
\(673\) | −0.284177 | − | 0.686065i | −0.0109542 | − | 0.0264458i | 0.918308 | − | 0.395867i | \(-0.129556\pi\) |
−0.929262 | + | 0.369421i | \(0.879556\pi\) | |||||||
\(674\) | 4.19824 | − | 12.4744i | 0.161710 | − | 0.480497i | ||||
\(675\) | 5.36002 | − | 8.94265i | 0.206307 | − | 0.344203i | ||||
\(676\) | 17.7539 | + | 24.5045i | 0.682840 | + | 0.942479i | ||||
\(677\) | −15.8721 | + | 5.67913i | −0.610014 | + | 0.218267i | −0.623731 | − | 0.781639i | \(-0.714384\pi\) |
0.0137165 | + | 0.999906i | \(0.495634\pi\) | |||||||
\(678\) | −3.48620 | − | 0.276700i | −0.133887 | − | 0.0106266i | ||||
\(679\) | −16.2346 | + | 13.3234i | −0.623028 | + | 0.511306i | ||||
\(680\) | 12.4252 | − | 17.0303i | 0.476484 | − | 0.653083i | ||||
\(681\) | −0.956493 | − | 9.71143i | −0.0366529 | − | 0.372143i | ||||
\(682\) | 14.9086 | − | 6.50935i | 0.570878 | − | 0.249256i | ||||
\(683\) | −7.18256 | − | 48.4209i | −0.274833 | − | 1.85277i | −0.484228 | − | 0.874942i | \(-0.660899\pi\) |
0.209395 | − | 0.977831i | \(-0.432851\pi\) | |||||||
\(684\) | 0.371223 | + | 0.462759i | 0.0141941 | + | 0.0176940i | ||||
\(685\) | −6.20072 | + | 17.3298i | −0.236917 | + | 0.662139i | ||||
\(686\) | −25.4833 | + | 9.66721i | −0.972959 | + | 0.369096i | ||||
\(687\) | 2.12198 | + | 1.41786i | 0.0809585 | + | 0.0540947i | ||||
\(688\) | 4.76492 | − | 12.4359i | 0.181661 | − | 0.474115i | ||||
\(689\) | 18.8055 | − | 12.5654i | 0.716432 | − | 0.478704i | ||||
\(690\) | −8.17062 | − | 5.82279i | −0.311050 | − | 0.221670i | ||||
\(691\) | 0.512858 | + | 10.4395i | 0.0195100 | + | 0.397136i | 0.988613 | + | 0.150480i | \(0.0480819\pi\) |
−0.969103 | + | 0.246656i | \(0.920668\pi\) | |||||||
\(692\) | −4.97838 | − | 26.5725i | −0.189250 | − | 1.01014i | ||||
\(693\) | −2.05858 | + | 8.21832i | −0.0781991 | + | 0.312188i | ||||
\(694\) | −11.3547 | − | 16.3149i | −0.431020 | − | 0.619304i | ||||
\(695\) | −3.17916 | + | 1.69929i | −0.120592 | + | 0.0644579i | ||||
\(696\) | 3.70097 | − | 4.58229i | 0.140285 | − | 0.173691i | ||||
\(697\) | −3.36884 | − | 11.1056i | −0.127604 | − | 0.420654i | ||||
\(698\) | 9.59203 | + | 2.71211i | 0.363064 | + | 0.102655i | ||||
\(699\) | −16.5408 | + | 14.9917i | −0.625629 | + | 0.567037i | ||||
\(700\) | 8.98243 | + | 0.541696i | 0.339504 | + | 0.0204742i | ||||
\(701\) | −29.5446 | + | 21.9118i | −1.11589 | + | 0.827597i | −0.986462 | − | 0.163992i | \(-0.947563\pi\) |
−0.129424 | + | 0.991589i | \(0.541313\pi\) | |||||||
\(702\) | 24.4713 | − | 18.8791i | 0.923610 | − | 0.712546i | ||||
\(703\) | −0.972857 | + | 0.972857i | −0.0366920 | + | 0.0366920i | ||||
\(704\) | −13.3666 | + | 8.29868i | −0.503772 | + | 0.312768i | ||||
\(705\) | 5.32346 | + | 5.32346i | 0.200493 | + | 0.200493i | ||||
\(706\) | 11.6353 | + | 1.50095i | 0.437900 | + | 0.0564890i | ||||
\(707\) | −14.4976 | − | 19.5478i | −0.545240 | − | 0.735171i | ||||
\(708\) | 6.62951 | − | 13.6220i | 0.249152 | − | 0.511946i | ||||
\(709\) | 20.8856 | + | 23.0437i | 0.784374 | + | 0.865423i | 0.993659 | − | 0.112431i | \(-0.0358638\pi\) |
−0.209286 | + | 0.977855i | \(0.567114\pi\) | |||||||
\(710\) | 29.1737 | − | 16.3126i | 1.09487 | − | 0.612201i | ||||
\(711\) | 8.46701 | − | 2.56844i | 0.317538 | − | 0.0963241i | ||||
\(712\) | 29.7223 | + | 2.69273i | 1.11389 | + | 0.100914i | ||||
\(713\) | 16.3795 | + | 30.6439i | 0.613417 | + | 1.14762i | ||||
\(714\) | −1.59924 | + | 8.92120i | −0.0598500 | + | 0.333867i | ||||
\(715\) | −15.9012 | − | 3.98304i | −0.594670 | − | 0.148957i | ||||
\(716\) | −0.709518 | − | 1.08793i | −0.0265159 | − | 0.0406577i | ||||
\(717\) | 18.5243 | − | 0.910038i | 0.691801 | − | 0.0339860i | ||||
\(718\) | −23.7062 | + | 3.97746i | −0.884707 | + | 0.148437i | ||||
\(719\) | 19.5254 | + | 29.2219i | 0.728176 | + | 1.08979i | 0.992124 | + | 0.125256i | \(0.0399751\pi\) |
−0.263948 | + | 0.964537i | \(0.585025\pi\) | |||||||
\(720\) | −11.5089 | + | 9.97292i | −0.428911 | + | 0.371669i | ||||
\(721\) | 5.32205 | − | 7.96502i | 0.198204 | − | 0.296633i | ||||
\(722\) | −24.4845 | − | 11.0169i | −0.911218 | − | 0.410006i | ||||
\(723\) | 14.0762 | + | 5.03656i | 0.523501 | + | 0.187312i | ||||
\(724\) | −6.72731 | − | 23.1008i | −0.250019 | − | 0.858534i | ||||
\(725\) | 6.85890 | − | 1.01742i | 0.254733 | − | 0.0377861i | ||||
\(726\) | 2.79835 | − | 7.13575i | 0.103856 | − | 0.264833i | ||||
\(727\) | −18.7995 | + | 1.85159i | −0.697236 | + | 0.0686718i | −0.440425 | − | 0.897790i | \(-0.645172\pi\) |
−0.256812 | + | 0.966461i | \(0.582672\pi\) | |||||||
\(728\) | 24.2037 | + | 11.2166i | 0.897050 | + | 0.415715i | ||||
\(729\) | 0.397563 | + | 0.484432i | 0.0147246 | + | 0.0179419i | ||||
\(730\) | −1.70372 | − | 1.99749i | −0.0630575 | − | 0.0739302i | ||||
\(731\) | 5.31950 | + | 14.8670i | 0.196749 | + | 0.549876i | ||||
\(732\) | −4.00054 | + | 6.50887i | −0.147864 | + | 0.240575i | ||||
\(733\) | 14.0298 | + | 8.40915i | 0.518203 | + | 0.310599i | 0.749187 | − | 0.662359i | \(-0.230444\pi\) |
−0.230984 | + | 0.972958i | \(0.574194\pi\) | |||||||
\(734\) | 20.0150 | + | 40.3210i | 0.738768 | + | 1.48828i | ||||
\(735\) | −4.23430 | + | 1.75391i | −0.156185 | + | 0.0646938i | ||||
\(736\) | −19.9288 | − | 27.0583i | −0.734587 | − | 0.997381i | ||||
\(737\) | −18.3027 | − | 7.58122i | −0.674188 | − | 0.279258i | ||||
\(738\) | 0.570124 | + | 8.36407i | 0.0209865 | + | 0.307886i | ||||
\(739\) | −4.40673 | + | 1.10383i | −0.162104 | + | 0.0406050i | −0.323183 | − | 0.946337i | \(-0.604753\pi\) |
0.161078 | + | 0.986942i | \(0.448503\pi\) | |||||||
\(740\) | −25.9023 | − | 24.0077i | −0.952187 | − | 0.882541i | ||||
\(741\) | 0.210997 | − | 0.446116i | 0.00775117 | − | 0.0163885i | ||||
\(742\) | 4.87505 | − | 9.55213i | 0.178969 | − | 0.350670i | ||||
\(743\) | 34.2075 | + | 3.36915i | 1.25495 | + | 0.123602i | 0.703555 | − | 0.710641i | \(-0.251595\pi\) |
0.551397 | + | 0.834243i | \(0.314095\pi\) | |||||||
\(744\) | −12.1705 | + | 3.14995i | −0.446191 | + | 0.115483i | ||||
\(745\) | 16.6978 | + | 13.7036i | 0.611761 | + | 0.502059i | ||||
\(746\) | −14.7842 | − | 14.2337i | −0.541289 | − | 0.521132i | ||||
\(747\) | 5.02767 | − | 6.77903i | 0.183953 | − | 0.248032i | ||||
\(748\) | 5.61365 | − | 17.7895i | 0.205255 | − | 0.650448i | ||||
\(749\) | −9.84400 | − | 20.8134i | −0.359692 | − | 0.760505i | ||||
\(750\) | 12.7120 | + | 0.382959i | 0.464177 | + | 0.0139837i | ||||
\(751\) | −7.56038 | − | 38.0086i | −0.275882 | − | 1.38695i | −0.831505 | − | 0.555518i | \(-0.812520\pi\) |
0.555623 | − | 0.831435i | \(-0.312480\pi\) | |||||||
\(752\) | 11.3882 | + | 22.4981i | 0.415284 | + | 0.820421i | ||||
\(753\) | −1.34544 | + | 6.76400i | −0.0490307 | + | 0.246494i | ||||
\(754\) | 20.0306 | + | 4.61542i | 0.729470 | + | 0.168084i | ||||
\(755\) | −15.7393 | + | 17.3656i | −0.572812 | + | 0.632000i | ||||
\(756\) | 5.75885 | − | 13.4763i | 0.209447 | − | 0.490127i | ||||
\(757\) | 18.6736 | + | 31.1550i | 0.678704 | + | 1.13235i | 0.983669 | + | 0.179986i | \(0.0576052\pi\) |
−0.304965 | + | 0.952364i | \(0.598645\pi\) | |||||||
\(758\) | 35.2811 | − | 7.71636i | 1.28147 | − | 0.280271i | ||||
\(759\) | −8.49577 | − | 2.57716i | −0.308377 | − | 0.0935451i | ||||
\(760\) | −0.204343 | + | 0.504457i | −0.00741230 | + | 0.0182986i | ||||
\(761\) | 28.5551 | + | 15.2630i | 1.03512 | + | 0.553284i | 0.899247 | − | 0.437442i | \(-0.144115\pi\) |
0.135875 | + | 0.990726i | \(0.456615\pi\) | |||||||
\(762\) | 0.358330 | + | 3.04484i | 0.0129809 | + | 0.110303i | ||||
\(763\) | 21.4952 | + | 1.05599i | 0.778179 | + | 0.0382295i | ||||
\(764\) | 4.94165 | − | 18.8350i | 0.178783 | − | 0.681425i | ||||
\(765\) | 2.64937 | − | 17.8606i | 0.0957881 | − | 0.645751i | ||||
\(766\) | 35.3226 | − | 9.56349i | 1.27626 | − | 0.345543i | ||||
\(767\) | 52.8683 | 1.90896 | ||||||||
\(768\) | 11.2119 | − | 4.70339i | 0.404574 | − | 0.169719i | ||||
\(769\) | 12.9433 | 0.466748 | 0.233374 | − | 0.972387i | \(-0.425023\pi\) | ||||
0.233374 | + | 0.972387i | \(0.425023\pi\) | |||||||
\(770\) | −7.50258 | + | 2.03130i | −0.270374 | + | 0.0732029i | ||||
\(771\) | 2.13861 | − | 14.4173i | 0.0770202 | − | 0.519228i | ||||
\(772\) | −9.97063 | − | 2.61595i | −0.358851 | − | 0.0941502i | ||||
\(773\) | 25.8828 | + | 1.27154i | 0.930941 | + | 0.0457342i | 0.508884 | − | 0.860835i | \(-0.330058\pi\) |
0.422057 | + | 0.906569i | \(0.361308\pi\) | |||||||
\(774\) | −1.33316 | − | 11.3283i | −0.0479195 | − | 0.407187i | ||||
\(775\) | −13.0517 | − | 6.97627i | −0.468830 | − | 0.250595i | ||||
\(776\) | −30.7607 | + | 13.0244i | −1.10424 | + | 0.467549i | ||||
\(777\) | 14.5300 | + | 4.40764i | 0.521262 | + | 0.158123i | ||||
\(778\) | 9.37846 | − | 2.05117i | 0.336234 | − | 0.0735380i | ||||
\(779\) | 0.154038 | + | 0.256997i | 0.00551898 | + | 0.00920786i | ||||
\(780\) | 11.6489 | + | 4.97795i | 0.417097 | + | 0.178239i | ||||
\(781\) | 19.8624 | − | 21.9148i | 0.710732 | − | 0.784172i | ||||
\(782\) | 38.8268 | + | 8.94643i | 1.38844 | + | 0.319924i | ||||
\(783\) | 2.20305 | − | 11.0755i | 0.0787306 | − | 0.395806i | ||||
\(784\) | −15.3068 | + | 1.16376i | −0.546672 | + | 0.0415630i | ||||
\(785\) | −0.316791 | − | 1.59261i | −0.0113067 | − | 0.0568429i | ||||
\(786\) | −21.2754 | − | 0.640938i | −0.758870 | − | 0.0228615i | ||||
\(787\) | 18.7761 | + | 39.6988i | 0.669297 | + | 1.41511i | 0.897288 | + | 0.441446i | \(0.145534\pi\) |
−0.227991 | + | 0.973663i | \(0.573216\pi\) | |||||||
\(788\) | 16.7862 | + | 5.29705i | 0.597983 | + | 0.188700i | ||||
\(789\) | 13.3402 | − | 17.9872i | 0.474923 | − | 0.640360i | ||||
\(790\) | 5.84776 | + | 5.62999i | 0.208054 | + | 0.200306i | ||||
\(791\) | −4.47327 | − | 3.67112i | −0.159051 | − | 0.130530i | ||||
\(792\) | −6.83713 | + | 11.6122i | −0.242947 | + | 0.412620i | ||||
\(793\) | −26.5334 | − | 2.61331i | −0.942229 | − | 0.0928015i | ||||
\(794\) | 0.309887 | − | 0.607189i | 0.0109975 | − | 0.0215483i | ||||
\(795\) | 2.17739 | − | 4.60370i | 0.0772240 | − | 0.163276i | ||||
\(796\) | 8.99410 | − | 9.70387i | 0.318788 | − | 0.343945i | ||||
\(797\) | −19.5796 | + | 4.90442i | −0.693544 | + | 0.173724i | −0.573696 | − | 0.819069i | \(-0.694491\pi\) |
−0.119848 | + | 0.992792i | \(0.538241\pi\) | |||||||
\(798\) | −0.0159132 | − | 0.233457i | −0.000563321 | − | 0.00826427i | ||||
\(799\) | −27.6219 | − | 11.4414i | −0.977192 | − | 0.404766i | ||||
\(800\) | 13.4602 | + | 4.86661i | 0.475889 | + | 0.172061i | ||||
\(801\) | 23.6156 | − | 9.78191i | 0.834417 | − | 0.345627i | ||||
\(802\) | 1.53948 | + | 3.10134i | 0.0543610 | + | 0.109512i | ||||
\(803\) | −1.99261 | − | 1.19433i | −0.0703178 | − | 0.0421468i | ||||
\(804\) | 13.0429 | + | 8.01653i | 0.459986 | + | 0.282721i | ||||
\(805\) | −5.59305 | − | 15.6315i | −0.197129 | − | 0.550939i | ||||
\(806\) | −28.4701 | − | 33.3791i | −1.00282 | − | 1.17573i | ||||
\(807\) | 4.92222 | + | 5.99775i | 0.173270 | + | 0.211131i | ||||
\(808\) | −13.3256 | − | 36.3435i | −0.468793 | − | 1.27856i | ||||
\(809\) | −5.61495 | + | 0.553024i | −0.197411 | + | 0.0194433i | −0.196239 | − | 0.980556i | \(-0.562873\pi\) |
−0.00117176 | + | 0.999999i | \(0.500373\pi\) | |||||||
\(810\) | −3.35632 | + | 8.55857i | −0.117929 | + | 0.300718i | ||||
\(811\) | 47.1620 | − | 6.99582i | 1.65608 | − | 0.245657i | 0.747772 | − | 0.663955i | \(-0.231123\pi\) |
0.908310 | + | 0.418298i | \(0.137373\pi\) | |||||||
\(812\) | 9.35791 | − | 2.72517i | 0.328398 | − | 0.0956347i | ||||
\(813\) | −11.6035 | − | 4.15180i | −0.406953 | − | 0.145610i | ||||
\(814\) | −28.4991 | − | 12.8233i | −0.998893 | − | 0.449456i | ||||
\(815\) | 9.83431 | − | 14.7181i | 0.344481 | − | 0.515552i | ||||
\(816\) | −6.45248 | + | 12.8911i | −0.225882 | + | 0.451278i | ||||
\(817\) | −0.226487 | − | 0.338962i | −0.00792377 | − | 0.0118588i | ||||
\(818\) | −55.6382 | + | 9.33505i | −1.94534 | + | 0.326392i | ||||
\(819\) | 22.8208 | − | 1.12112i | 0.797425 | − | 0.0391750i | ||||
\(820\) | −6.44230 | + | 4.20151i | −0.224975 | + | 0.146723i | ||||
\(821\) | −20.6465 | − | 5.17168i | −0.720567 | − | 0.180493i | −0.134685 | − | 0.990889i | \(-0.543002\pi\) |
−0.585883 | + | 0.810396i | \(0.699252\pi\) | |||||||
\(822\) | 2.22085 | − | 12.3888i | 0.0774609 | − | 0.432108i | ||||
\(823\) | 12.7199 | + | 23.7973i | 0.443389 | + | 0.829522i | 0.999999 | − | 0.00125162i | \(-0.000398402\pi\) |
−0.556610 | + | 0.830774i | \(0.687898\pi\) | |||||||
\(824\) | 11.7020 | − | 9.75784i | 0.407659 | − | 0.339930i | ||||
\(825\) | 3.61847 | − | 1.09765i | 0.125979 | − | 0.0382153i | ||||
\(826\) | 21.8801 | − | 12.2344i | 0.761305 | − | 0.425688i | ||||
\(827\) | 11.4926 | + | 12.6801i | 0.399636 | + | 0.440931i | 0.907210 | − | 0.420677i | \(-0.138208\pi\) |
−0.507574 | + | 0.861608i | \(0.669458\pi\) | |||||||
\(828\) | −25.8806 | − | 12.5955i | −0.899412 | − | 0.437723i | ||||
\(829\) | −8.50980 | − | 11.4741i | −0.295558 | − | 0.398513i | 0.630321 | − | 0.776335i | \(-0.282923\pi\) |
−0.925879 | + | 0.377821i | \(0.876673\pi\) | |||||||
\(830\) | 7.67946 | + | 0.990649i | 0.266558 | + | 0.0343859i | ||||
\(831\) | −3.54663 | − | 3.54663i | −0.123031 | − | 0.123031i | ||||
\(832\) | 31.8808 | + | 27.9989i | 1.10527 | + | 0.970687i | ||||
\(833\) | 12.8700 | − | 12.8700i | 0.445921 | − | 0.445921i | ||||
\(834\) | 1.95173 | − | 1.50572i | 0.0675829 | − | 0.0521388i | ||||
\(835\) | −9.35967 | + | 6.94160i | −0.323905 | + | 0.240224i | ||||
\(836\) | −0.0289915 | + | 0.480739i | −0.00100269 | + | 0.0166267i | ||||
\(837\) | −17.8581 | + | 16.1856i | −0.617265 | + | 0.559457i | ||||
\(838\) | −32.8403 | − | 9.28546i | −1.13445 | − | 0.320761i | ||||
\(839\) | 5.15439 | + | 16.9918i | 0.177949 | + | 0.586621i | 0.999856 | + | 0.0169976i | \(0.00541076\pi\) |
−0.821906 | + | 0.569623i | \(0.807089\pi\) | |||||||
\(840\) | 5.97296 | − | 0.635514i | 0.206087 | − | 0.0219273i | ||||
\(841\) | −18.9523 | + | 10.1302i | −0.653527 | + | 0.349318i | ||||
\(842\) | 19.2397 | + | 27.6443i | 0.663045 | + | 0.952685i | ||||
\(843\) | −3.70889 | + | 14.8067i | −0.127741 | + | 0.509970i | ||||
\(844\) | −53.7579 | + | 10.0716i | −1.85042 | + | 0.346678i | ||||
\(845\) | 1.16672 | + | 23.7491i | 0.0401363 | + | 0.816993i | ||||
\(846\) | 17.5883 | + | 12.5343i | 0.604698 | + | 0.430938i | ||||
\(847\) | 10.5456 | − | 7.04638i | 0.362353 | − | 0.242116i | ||||
\(848\) | 11.7339 | − | 12.3802i | 0.402945 | − | 0.425139i | ||||
\(849\) | −5.87964 | − | 3.92865i | −0.201789 | − | 0.134831i | ||||
\(850\) | −15.8669 | + | 6.01917i | −0.544230 | + | 0.206456i | ||||
\(851\) | 22.4876 | − | 62.8487i | 0.770865 | − | 2.15442i | ||||
\(852\) | −17.8288 | + | 14.3022i | −0.610805 | + | 0.489984i | ||||
\(853\) | 7.48814 | + | 50.4809i | 0.256389 | + | 1.72843i | 0.609441 | + | 0.792831i | \(0.291394\pi\) |
−0.353052 | + | 0.935604i | \(0.614856\pi\) | |||||||
\(854\) | −11.5859 | + | 5.05860i | −0.396460 | + | 0.173102i | ||||
\(855\) | 0.0456925 | + | 0.463924i | 0.00156265 | + | 0.0158659i | ||||
\(856\) | −5.65666 | − | 36.1812i | −0.193340 | − | 1.23665i | ||||
\(857\) | 29.5436 | − | 24.2458i | 1.00919 | − | 0.828221i | 0.0240046 | − | 0.999712i | \(-0.492358\pi\) |
0.985186 | + | 0.171491i | \(0.0548584\pi\) | |||||||
\(858\) | 11.1744 | + | 0.886909i | 0.381486 | + | 0.0302786i | ||||
\(859\) | −23.8911 | + | 8.54838i | −0.815154 | + | 0.291667i | −0.711267 | − | 0.702922i | \(-0.751878\pi\) |
−0.103888 | + | 0.994589i | \(0.533128\pi\) | |||||||
\(860\) | 8.47426 | − | 6.13973i | 0.288970 | − | 0.209363i | ||||
\(861\) | 1.69998 | − | 2.83625i | 0.0579353 | − | 0.0966592i | ||||
\(862\) | 4.64341 | − | 13.7972i | 0.158155 | − | 0.469933i | ||||
\(863\) | −5.46177 | − | 13.1859i | −0.185921 | − | 0.448852i | 0.803246 | − | 0.595647i | \(-0.203104\pi\) |
−0.989167 | + | 0.146795i | \(0.953104\pi\) | |||||||
\(864\) | 14.8473 | − | 17.9695i | 0.505115 | − | 0.611333i | ||||
\(865\) | 8.12952 | − | 19.6264i | 0.276412 | − | 0.667318i | ||||
\(866\) | −31.3036 | − | 27.3084i | −1.06374 | − | 0.927978i | ||||
\(867\) | −1.01415 | − | 4.04870i | −0.0344422 | − | 0.137501i | ||||
\(868\) | −19.5069 | − | 7.22594i | −0.662109 | − | 0.245265i | ||||
\(869\) | 6.49328 | + | 3.07109i | 0.220270 | + | 0.104180i | ||||
\(870\) | 4.40283 | − | 1.42733i | 0.149270 | − | 0.0483912i | ||||
\(871\) | −5.23671 | + | 53.1693i | −0.177439 | + | 1.80157i | ||||
\(872\) | 32.3187 | + | 11.2793i | 1.09445 | + | 0.381966i | ||||
\(873\) | −18.1505 | + | 22.1165i | −0.614302 | + | 0.748530i | ||||
\(874\) | −1.02851 | + | 0.0195140i | −0.0347898 | + | 0.000660070i | ||||
\(875\) | 16.9030 | + | 12.5361i | 0.571426 | + | 0.423798i | ||||
\(876\) | 1.37500 | + | 1.15432i | 0.0464569 | + | 0.0390008i | ||||
\(877\) | 13.4741 | − | 6.37279i | 0.454989 | − | 0.215194i | −0.186301 | − | 0.982493i | \(-0.559650\pi\) |
0.641289 | + | 0.767299i | \(0.278400\pi\) | |||||||
\(878\) | −0.320719 | − | 0.340643i | −0.0108237 | − | 0.0114961i | ||||
\(879\) | −5.05632 | + | 1.00576i | −0.170545 | + | 0.0339236i | ||||
\(880\) | −12.3598 | − | 0.275565i | −0.416648 | − | 0.00928931i | ||||
\(881\) | −42.7478 | − | 8.50307i | −1.44021 | − | 0.286476i | −0.587654 | − | 0.809112i | \(-0.699949\pi\) |
−0.852556 | + | 0.522636i | \(0.824949\pi\) | |||||||
\(882\) | −11.1473 | + | 6.97219i | −0.375347 | + | 0.234766i | ||||
\(883\) | −29.3555 | − | 26.6062i | −0.987890 | − | 0.895371i | 0.00662372 | − | 0.999978i | \(-0.497892\pi\) |
−0.994514 | + | 0.104607i | \(0.966642\pi\) | |||||||
\(884\) | −50.3045 | − | 0.560708i | −1.69192 | − | 0.0188587i | ||||
\(885\) | 10.2106 | − | 6.12000i | 0.343225 | − | 0.205721i | ||||
\(886\) | −11.1994 | − | 7.17968i | −0.376250 | − | 0.241206i | ||||
\(887\) | 2.02148 | − | 6.66394i | 0.0678748 | − | 0.223753i | −0.916441 | − | 0.400171i | \(-0.868951\pi\) |
0.984315 | + | 0.176417i | \(0.0564509\pi\) | |||||||
\(888\) | 20.1849 | + | 13.2598i | 0.677360 | + | 0.444971i | ||||
\(889\) | −2.39146 | + | 4.47410i | −0.0802068 | + | 0.150056i | ||||
\(890\) | 18.4067 | + | 14.5305i | 0.616994 | + | 0.487064i | ||||
\(891\) | −0.399154 | + | 8.12497i | −0.0133722 | + | 0.272197i | ||||
\(892\) | 25.1769 | − | 33.1681i | 0.842986 | − | 1.11055i | ||||
\(893\) | 0.763542 | + | 0.113261i | 0.0255509 | + | 0.00379013i | ||||
\(894\) | −12.8115 | − | 7.35224i | −0.428481 | − | 0.245896i | ||||
\(895\) | − | 1.02061i | − | 0.0341151i | ||||||
\(896\) | 19.6734 | + | 4.21003i | 0.657243 | + | 0.140647i | ||||
\(897\) | 23.9428i | 0.799427i | ||||||||
\(898\) | 1.58808 | − | 2.76728i | 0.0529950 | − | 0.0923454i | ||||
\(899\) | −15.8556 | − | 2.35196i | −0.528814 | − | 0.0784422i | ||||
\(900\) | 12.1456 | − | 1.66351i | 0.404854 | − | 0.0554502i | ||||
\(901\) | −0.992356 | + | 20.1999i | −0.0330602 | + | 0.672955i | ||||
\(902\) | −4.21698 | + | 5.34192i | −0.140410 | + | 0.177866i | ||||
\(903\) | −2.12084 | + | 3.96781i | −0.0705772 | + | 0.132041i | ||||
\(904\) | −5.17332 | − | 7.61278i | −0.172062 | − | 0.253197i | ||||
\(905\) | 5.48818 | − | 18.0921i | 0.182433 | − | 0.601402i | ||||
\(906\) | 8.64957 | − | 13.4922i | 0.287363 | − | 0.448249i | ||||
\(907\) | −23.0332 | + | 13.8056i | −0.764805 | + | 0.458406i | −0.842584 | − | 0.538564i | \(-0.818967\pi\) |
0.0777798 | + | 0.996971i | \(0.475217\pi\) | |||||||
\(908\) | 18.3621 | − | 17.9573i | 0.609368 | − | 0.595933i | ||||
\(909\) | −24.5659 | − | 22.2653i | −0.814800 | − | 0.738492i | ||||
\(910\) | 11.1157 | + | 17.7719i | 0.368481 | + | 0.589133i | ||||
\(911\) | −43.2733 | − | 8.60759i | −1.43371 | − | 0.285182i | −0.583707 | − | 0.811964i | \(-0.698398\pi\) |
−0.850000 | + | 0.526782i | \(0.823398\pi\) | |||||||
\(912\) | 0.0807282 | − | 0.363325i | 0.00267318 | − | 0.0120309i | ||||
\(913\) | 6.72000 | − | 1.33669i | 0.222400 | − | 0.0442380i | ||||
\(914\) | −35.8728 | + | 33.7746i | −1.18657 | + | 1.11716i | ||||
\(915\) | −5.42698 | + | 2.56677i | −0.179410 | + | 0.0848548i | ||||
\(916\) | 0.583822 | + | 6.69142i | 0.0192900 | + | 0.221091i | ||||
\(917\) | −28.2896 | − | 20.9810i | −0.934206 | − | 0.692855i | ||||
\(918\) | 0.524270 | + | 27.6324i | 0.0173035 | + | 0.912004i | ||||
\(919\) | 0.551217 | − | 0.671660i | 0.0181830 | − | 0.0221560i | −0.763840 | − | 0.645406i | \(-0.776688\pi\) |
0.782023 | + | 0.623250i | \(0.214188\pi\) | |||||||
\(920\) | −1.50203 | − | 26.3635i | −0.0495206 | − | 0.869180i | ||||
\(921\) | 0.401945 | − | 4.08102i | 0.0132445 | − | 0.134474i | ||||
\(922\) | −10.1580 | − | 31.3338i | −0.334534 | − | 1.03192i | ||||
\(923\) | −72.1055 | − | 34.1034i | −2.37338 | − | 1.12253i | ||||
\(924\) | 4.82986 | − | 2.21882i | 0.158891 | − | 0.0729939i | ||||
\(925\) | 6.90795 | + | 27.5781i | 0.227132 | + | 0.906761i | ||||
\(926\) | −37.8828 | + | 43.4250i | −1.24491 | + | 1.42703i | ||||
\(927\) | 4.99406 | − | 12.0567i | 0.164026 | − | 0.395995i | ||||
\(928\) | 15.5024 | + | 0.0514816i | 0.508891 | + | 0.00168997i | ||||
\(929\) | 18.7172 | + | 45.1874i | 0.614092 | + | 1.48255i | 0.858467 | + | 0.512869i | \(0.171417\pi\) |
−0.244374 | + | 0.969681i | \(0.578583\pi\) | |||||||
\(930\) | −9.36244 | − | 3.15091i | −0.307006 | − | 0.103322i | ||||
\(931\) | −0.241583 | + | 0.403057i | −0.00791756 | + | 0.0132097i | ||||
\(932\) | −58.0183 | − | 9.26821i | −1.90045 | − | 0.303590i | ||||
\(933\) | −9.62018 | + | 3.44215i | −0.314950 | + | 0.112691i | ||||
\(934\) | −1.54997 | + | 19.5284i | −0.0507164 | + | 0.638987i | ||||
\(935\) | 11.3309 | − | 9.29900i | 0.370559 | − | 0.304110i | ||||
\(936\) | 35.3203 | + | 8.55413i | 1.15448 | + | 0.279600i | ||||
\(937\) | 4.01594 | + | 40.7745i | 0.131195 | + | 1.33205i | 0.805061 | + | 0.593192i | \(0.202132\pi\) |
−0.673866 | + | 0.738853i | \(0.735368\pi\) | |||||||
\(938\) | 10.1367 | + | 23.2165i | 0.330976 | + | 0.758044i | ||||
\(939\) | −2.56233 | − | 17.2738i | −0.0836185 | − | 0.563710i | ||||
\(940\) | −2.16181 | + | 19.6961i | −0.0705103 | + | 0.642415i | ||||
\(941\) | 1.13998 | − | 3.18604i | 0.0371624 | − | 0.103862i | −0.921530 | − | 0.388308i | \(-0.873060\pi\) |
0.958692 | + | 0.284446i | \(0.0918097\pi\) | |||||||
\(942\) | 0.393848 | + | 1.03821i | 0.0128323 | + | 0.0338266i | ||||
\(943\) | −12.0869 | − | 8.07621i | −0.393604 | − | 0.262998i | ||||
\(944\) | 38.8837 | − | 8.82365i | 1.26556 | − | 0.287185i | ||||
\(945\) | 9.57499 | − | 6.39780i | 0.311474 | − | 0.208121i | ||||
\(946\) | 5.37404 | − | 7.54092i | 0.174725 | − | 0.245177i | ||||
\(947\) | 1.61994 | + | 32.9747i | 0.0526411 | + | 1.07153i | 0.869260 | + | 0.494356i | \(0.164596\pi\) |
−0.816618 | + | 0.577178i | \(0.804154\pi\) | |||||||
\(948\) | −4.58074 | − | 3.13516i | −0.148776 | − | 0.101825i | ||||
\(949\) | −1.52230 | + | 6.07738i | −0.0494161 | + | 0.197280i | ||||
\(950\) | 0.359614 | − | 0.250282i | 0.0116674 | − | 0.00812023i | ||||
\(951\) | −7.16241 | + | 3.82839i | −0.232257 | + | 0.124144i | ||||
\(952\) | −20.9488 | + | 11.4090i | −0.678953 | + | 0.369768i | ||||
\(953\) | 9.81261 | + | 32.3478i | 0.317862 | + | 1.04785i | 0.959704 | + | 0.281013i | \(0.0906703\pi\) |
−0.641843 | + | 0.766836i | \(0.721830\pi\) | |||||||
\(954\) | 3.97499 | − | 14.0585i | 0.128695 | − | 0.455161i | ||||
\(955\) | 11.3373 | − | 10.2756i | 0.366868 | − | 0.332509i | ||||
\(956\) | 32.3756 | + | 36.5311i | 1.04710 | + | 1.18150i | ||||
\(957\) | 3.28958 | − | 2.43972i | 0.106337 | − | 0.0788650i | ||||
\(958\) | 29.5471 | + | 38.2993i | 0.954624 | + | 1.23739i | ||||
\(959\) | 14.7267 | − | 14.7267i | 0.475550 | − | 0.475550i | ||||
\(960\) | 9.39834 | + | 1.71701i | 0.303330 | + | 0.0554161i | ||||
\(961\) | 2.27050 | + | 2.27050i | 0.0732419 | + | 0.0732419i | ||||
\(962\) | −10.7827 | + | 83.5873i | −0.347650 | + | 2.69496i | ||||
\(963\) | −18.6844 | − | 25.1931i | −0.602098 | − | 0.811835i | ||||
\(964\) | 12.8420 | + | 37.1928i | 0.413614 | + | 1.19790i | ||||
\(965\) | −5.43956 | − | 6.00163i | −0.175106 | − | 0.193199i | ||||
\(966\) | 5.54065 | + | 9.90897i | 0.178267 | + | 0.318816i | ||||
\(967\) | −36.8410 | + | 11.1756i | −1.18473 | + | 0.359383i | −0.820346 | − | 0.571868i | \(-0.806219\pi\) |
−0.364380 | + | 0.931250i | \(0.618719\pi\) | |||||||
\(968\) | 19.2581 | − | 6.00683i | 0.618978 | − | 0.193067i | ||||
\(969\) | 0.208020 | + | 0.389178i | 0.00668256 | + | 0.0125022i | ||||
\(970\) | −25.8367 | − | 4.63156i | −0.829566 | − | 0.148710i | ||||
\(971\) | −24.6030 | − | 6.16273i | −0.789548 | − | 0.197771i | −0.172826 | − | 0.984952i | \(-0.555290\pi\) |
−0.616722 | + | 0.787181i | \(0.711540\pi\) | |||||||
\(972\) | 6.38840 | − | 30.3450i | 0.204908 | − | 0.973317i | ||||
\(973\) | 4.07404 | − | 0.200145i | 0.130608 | − | 0.00641635i | ||||
\(974\) | −4.39831 | − | 26.2145i | −0.140931 | − | 0.839968i | ||||
\(975\) | −5.66548 | − | 8.47900i | −0.181441 | − | 0.271545i | ||||
\(976\) | −19.9510 | + | 2.50635i | −0.638615 | + | 0.0802262i | ||||
\(977\) | −8.37975 | + | 12.5412i | −0.268092 | + | 0.401228i | −0.940951 | − | 0.338543i | \(-0.890066\pi\) |
0.672859 | + | 0.739771i | \(0.265066\pi\) | |||||||
\(978\) | −4.96685 | + | 11.0386i | −0.158822 | + | 0.352975i | ||||
\(979\) | 19.5380 | + | 6.99081i | 0.624437 | + | 0.223427i | ||||
\(980\) | −10.5741 | − | 5.80444i | −0.337779 | − | 0.185416i | ||||
\(981\) | 29.0010 | − | 4.30189i | 0.925930 | − | 0.137349i | ||||
\(982\) | −13.5731 | − | 5.32281i | −0.433135 | − | 0.169858i | ||||
\(983\) | 18.1063 | − | 1.78331i | 0.577500 | − | 0.0568788i | 0.194949 | − | 0.980813i | \(-0.437546\pi\) |
0.382551 | + | 0.923935i | \(0.375046\pi\) | |||||||
\(984\) | 3.86925 | − | 3.56243i | 0.123347 | − | 0.113566i | ||||
\(985\) | 8.77456 | + | 10.6918i | 0.279581 | + | 0.340670i | ||||
\(986\) | −13.9847 | + | 11.9280i | −0.445363 | + | 0.379864i | ||||
\(987\) | −2.86988 | − | 8.02079i | −0.0913494 | − | 0.255304i | ||||
\(988\) | 1.26335 | − | 0.301530i | 0.0401926 | − | 0.00959294i | ||||
\(989\) | 16.9647 | + | 10.1682i | 0.539445 | + | 0.323331i | ||||
\(990\) | −9.48453 | + | 4.70805i | −0.301438 | + | 0.149632i | ||||
\(991\) | 11.7999 | − | 4.88769i | 0.374837 | − | 0.155263i | −0.187308 | − | 0.982301i | \(-0.559976\pi\) |
0.562145 | + | 0.827039i | \(0.309976\pi\) | |||||||
\(992\) | −26.5101 | − | 19.7981i | −0.841698 | − | 0.628589i | ||||
\(993\) | 16.2476 | + | 6.72998i | 0.515602 | + | 0.213570i | ||||
\(994\) | −37.7335 | + | 2.57204i | −1.19683 | + | 0.0815803i | ||||
\(995\) | 10.0851 | − | 2.52618i | 0.319719 | − | 0.0800853i | ||||
\(996\) | −5.29108 | + | 0.200848i | −0.167654 | + | 0.00636412i | ||||
\(997\) | 25.1918 | − | 53.2636i | 0.797833 | − | 1.68688i | 0.0736344 | − | 0.997285i | \(-0.476540\pi\) |
0.724199 | − | 0.689591i | \(-0.242210\pi\) | |||||||
\(998\) | −51.7030 | − | 26.3873i | −1.63663 | − | 0.835275i | ||||
\(999\) | 46.0776 | + | 4.53825i | 1.45783 | + | 0.143584i |
(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 | 256.2.m.a.5.15 | ✓ | 992 | |
256.205 | even | 64 | inner | 256.2.m.a.205.15 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
256.2.m.a.5.15 | ✓ | 992 | 1.1 | even | 1 | trivial | |
256.2.m.a.205.15 | yes | 992 | 256.205 | even | 64 | inner |