Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.39 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.39 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.427576 | + | 1.34803i | −0.302342 | + | 0.953200i | ||||
\(3\) | 1.64520 | − | 0.541597i | 0.949855 | − | 0.312691i | ||||
\(4\) | −1.63436 | − | 1.15277i | −0.817179 | − | 0.576384i | ||||
\(5\) | 2.38016 | + | 2.71405i | 1.06444 | + | 1.21376i | 0.976020 | + | 0.217679i | \(0.0698486\pi\) |
0.0884205 | + | 0.996083i | \(0.471818\pi\) | |||||||
\(6\) | 0.0266422 | + | 2.44934i | 0.0108766 | + | 0.999941i | ||||
\(7\) | 3.65079 | + | 0.480636i | 1.37987 | + | 0.181663i | 0.783672 | − | 0.621175i | \(-0.213344\pi\) |
0.596197 | + | 0.802838i | \(0.296678\pi\) | |||||||
\(8\) | 2.25278 | − | 1.71026i | 0.796476 | − | 0.604670i | ||||
\(9\) | 2.41334 | − | 1.78207i | 0.804448 | − | 0.594023i | ||||
\(10\) | −4.67632 | + | 2.04806i | −1.47878 | + | 0.647654i | ||||
\(11\) | −1.82388 | − | 3.69846i | −0.549920 | − | 1.11513i | −0.977458 | − | 0.211130i | \(-0.932286\pi\) |
0.427538 | − | 0.903998i | \(-0.359381\pi\) | |||||||
\(12\) | −3.31318 | − | 1.01137i | −0.956432 | − | 0.291956i | ||||
\(13\) | 1.01627 | + | 2.99385i | 0.281864 | + | 0.830344i | 0.991995 | + | 0.126275i | \(0.0403021\pi\) |
−0.710132 | + | 0.704069i | \(0.751365\pi\) | |||||||
\(14\) | −2.20890 | + | 4.71586i | −0.590353 | + | 1.26037i | ||||
\(15\) | 5.38576 | + | 3.17606i | 1.39060 | + | 0.820056i | ||||
\(16\) | 1.34225 | + | 3.76807i | 0.335563 | + | 0.942018i | ||||
\(17\) | −4.41542 | − | 4.41542i | −1.07090 | − | 1.07090i | −0.997287 | − | 0.0736098i | \(-0.976548\pi\) |
−0.0736098 | − | 0.997287i | \(-0.523452\pi\) | |||||||
\(18\) | 1.37039 | + | 4.01522i | 0.323004 | + | 0.946398i | ||||
\(19\) | 0.330635 | − | 1.66221i | 0.0758529 | − | 0.381338i | −0.924147 | − | 0.382037i | \(-0.875223\pi\) |
1.00000 | 0.000699247i | \(0.000222577\pi\) | ||||||||
\(20\) | −0.761361 | − | 7.17951i | −0.170246 | − | 1.60539i | ||||
\(21\) | 6.26658 | − | 1.18652i | 1.36748 | − | 0.258920i | ||||
\(22\) | 5.76547 | − | 0.877267i | 1.22920 | − | 0.187034i | ||||
\(23\) | −0.580807 | − | 4.41167i | −0.121107 | − | 0.919896i | −0.938853 | − | 0.344318i | \(-0.888110\pi\) |
0.817747 | − | 0.575578i | \(-0.195223\pi\) | |||||||
\(24\) | 2.77998 | − | 4.03382i | 0.567462 | − | 0.823400i | ||||
\(25\) | −1.04829 | + | 7.96256i | −0.209658 | + | 1.59251i | ||||
\(26\) | −4.47032 | + | 0.0898694i | −0.876703 | + | 0.0176248i | ||||
\(27\) | 3.00526 | − | 4.23891i | 0.578363 | − | 0.815779i | ||||
\(28\) | −5.41264 | − | 4.99405i | −1.02289 | − | 0.943786i | ||||
\(29\) | −4.75151 | + | 0.311431i | −0.882334 | + | 0.0578312i | −0.499831 | − | 0.866123i | \(-0.666605\pi\) |
−0.382503 | + | 0.923954i | \(0.624938\pi\) | |||||||
\(30\) | −6.58424 | + | 5.90215i | −1.20211 | + | 1.07758i | ||||
\(31\) | −4.26195 | + | 2.46064i | −0.765469 | + | 0.441944i | −0.831256 | − | 0.555890i | \(-0.812378\pi\) |
0.0657867 | + | 0.997834i | \(0.479044\pi\) | |||||||
\(32\) | −5.65338 | + | 0.198257i | −0.999386 | + | 0.0350472i | ||||
\(33\) | −5.00372 | − | 5.09689i | −0.871035 | − | 0.887254i | ||||
\(34\) | 7.84004 | − | 4.06418i | 1.34456 | − | 0.697002i | ||||
\(35\) | 7.38500 | + | 11.0524i | 1.24829 | + | 1.86820i | ||||
\(36\) | −5.99858 | + | 0.130512i | −0.999763 | + | 0.0217519i | ||||
\(37\) | 1.25696 | + | 6.31914i | 0.206642 | + | 1.03886i | 0.935266 | + | 0.353946i | \(0.115160\pi\) |
−0.728624 | + | 0.684914i | \(0.759840\pi\) | |||||||
\(38\) | 2.09934 | + | 1.15643i | 0.340558 | + | 0.187597i | ||||
\(39\) | 3.29343 | + | 4.37506i | 0.527371 | + | 0.700570i | ||||
\(40\) | 10.0037 | + | 2.04345i | 1.58173 | + | 0.323098i | ||||
\(41\) | −0.274218 | − | 2.08289i | −0.0428256 | − | 0.325293i | −0.999426 | − | 0.0338885i | \(-0.989211\pi\) |
0.956600 | − | 0.291404i | \(-0.0941224\pi\) | |||||||
\(42\) | −1.07998 | + | 8.95485i | −0.166644 | + | 1.38176i | ||||
\(43\) | −5.84251 | + | 2.88121i | −0.890974 | + | 0.439380i | −0.829356 | − | 0.558720i | \(-0.811293\pi\) |
−0.0616178 | + | 0.998100i | \(0.519626\pi\) | |||||||
\(44\) | −1.28260 | + | 8.14712i | −0.193359 | + | 1.22822i | ||||
\(45\) | 10.5808 | + | 2.30834i | 1.57729 | + | 0.344107i | ||||
\(46\) | 6.19539 | + | 1.10338i | 0.913460 | + | 0.162684i | ||||
\(47\) | 0.735963 | − | 0.197201i | 0.107351 | − | 0.0287647i | −0.204743 | − | 0.978816i | \(-0.565636\pi\) |
0.312095 | + | 0.950051i | \(0.398969\pi\) | |||||||
\(48\) | 4.24905 | + | 5.47226i | 0.613297 | + | 0.789852i | ||||
\(49\) | 6.33579 | + | 1.69767i | 0.905112 | + | 0.242524i | ||||
\(50\) | −10.2855 | − | 4.81772i | −1.45459 | − | 0.681329i | ||||
\(51\) | −9.65562 | − | 4.87286i | −1.35206 | − | 0.682336i | ||||
\(52\) | 1.79026 | − | 6.06455i | 0.248264 | − | 0.841001i | ||||
\(53\) | −6.09949 | + | 9.12853i | −0.837829 | + | 1.25390i | 0.127232 | + | 0.991873i | \(0.459391\pi\) |
−0.965061 | + | 0.262026i | \(0.915609\pi\) | |||||||
\(54\) | 4.42920 | + | 5.86363i | 0.602737 | + | 0.797940i | ||||
\(55\) | 5.69670 | − | 13.7530i | 0.768142 | − | 1.85446i | ||||
\(56\) | 9.04643 | − | 5.16105i | 1.20888 | − | 0.689675i | ||||
\(57\) | −0.356291 | − | 2.91374i | −0.0471919 | − | 0.385934i | ||||
\(58\) | 1.61181 | − | 6.53833i | 0.211642 | − | 0.858525i | ||||
\(59\) | 5.64649 | + | 6.43858i | 0.735110 | + | 0.838232i | 0.991738 | − | 0.128278i | \(-0.0409450\pi\) |
−0.256628 | + | 0.966510i | \(0.582612\pi\) | |||||||
\(60\) | −5.14099 | − | 11.3994i | −0.663700 | − | 1.47165i | ||||
\(61\) | −0.314873 | − | 4.80403i | −0.0403153 | − | 0.615093i | −0.969440 | − | 0.245327i | \(-0.921105\pi\) |
0.929125 | − | 0.369766i | \(-0.120562\pi\) | |||||||
\(62\) | −1.49470 | − | 6.79734i | −0.189827 | − | 0.863263i | ||||
\(63\) | 9.66714 | − | 5.34602i | 1.21795 | − | 0.673535i | ||||
\(64\) | 2.14999 | − | 7.70568i | 0.268749 | − | 0.963210i | ||||
\(65\) | −5.70657 | + | 9.88407i | −0.707813 | + | 1.22597i | ||||
\(66\) | 9.01021 | − | 4.56584i | 1.10908 | − | 0.562016i | ||||
\(67\) | −0.486933 | − | 0.240129i | −0.0594884 | − | 0.0293364i | 0.412301 | − | 0.911048i | \(-0.364725\pi\) |
−0.471790 | + | 0.881711i | \(0.656392\pi\) | |||||||
\(68\) | 2.12642 | + | 12.3063i | 0.257867 | + | 1.49236i | ||||
\(69\) | −3.34489 | − | 6.94349i | −0.402677 | − | 0.835899i | ||||
\(70\) | −18.0566 | + | 5.22944i | −2.15818 | + | 0.625037i | ||||
\(71\) | 1.08365 | + | 2.61615i | 0.128605 | + | 0.310480i | 0.975046 | − | 0.222002i | \(-0.0712592\pi\) |
−0.846441 | + | 0.532483i | \(0.821259\pi\) | |||||||
\(72\) | 2.38891 | − | 8.14206i | 0.281536 | − | 0.959551i | ||||
\(73\) | −5.99517 | + | 14.4736i | −0.701681 | + | 1.69401i | 0.0181267 | + | 0.999836i | \(0.494230\pi\) |
−0.719808 | + | 0.694173i | \(0.755770\pi\) | |||||||
\(74\) | −9.05582 | − | 1.00750i | −1.05272 | − | 0.117120i | ||||
\(75\) | 2.58786 | + | 13.6677i | 0.298820 | + | 1.57821i | ||||
\(76\) | −2.45652 | + | 2.33551i | −0.281783 | + | 0.267901i | ||||
\(77\) | −4.88099 | − | 14.3789i | −0.556240 | − | 1.63863i | ||||
\(78\) | −7.30589 | + | 2.56897i | −0.827229 | + | 0.290878i | ||||
\(79\) | 1.74684 | + | 6.51931i | 0.196535 | + | 0.733479i | 0.991864 | + | 0.127301i | \(0.0406315\pi\) |
−0.795329 | + | 0.606178i | \(0.792702\pi\) | |||||||
\(80\) | −7.03197 | + | 12.6116i | −0.786199 | + | 1.41002i | ||||
\(81\) | 2.64846 | − | 8.60149i | 0.294274 | − | 0.955721i | ||||
\(82\) | 2.92504 | + | 0.520940i | 0.323017 | + | 0.0575282i | ||||
\(83\) | −8.46451 | − | 7.42317i | −0.929100 | − | 0.814799i | 0.0538728 | − | 0.998548i | \(-0.482843\pi\) |
−0.982973 | + | 0.183749i | \(0.941177\pi\) | |||||||
\(84\) | −11.6096 | − | 5.28472i | −1.26671 | − | 0.576610i | ||||
\(85\) | 1.47428 | − | 22.4931i | 0.159908 | − | 2.43972i | ||||
\(86\) | −1.38583 | − | 9.10780i | −0.149438 | − | 0.982119i | ||||
\(87\) | −7.64850 | + | 3.08577i | −0.820006 | + | 0.330829i | ||||
\(88\) | −10.4341 | − | 5.21249i | −1.11228 | − | 0.555653i | ||||
\(89\) | 5.32301 | − | 2.20486i | 0.564238 | − | 0.233715i | −0.0822861 | − | 0.996609i | \(-0.526222\pi\) |
0.646524 | + | 0.762894i | \(0.276222\pi\) | |||||||
\(90\) | −7.63579 | + | 13.2762i | −0.804883 | + | 1.39943i | ||||
\(91\) | 2.27125 | + | 11.4184i | 0.238092 | + | 1.19697i | ||||
\(92\) | −4.13638 | + | 7.87978i | −0.431248 | + | 0.821523i | ||||
\(93\) | −5.67907 | + | 6.35650i | −0.588893 | + | 0.659138i | ||||
\(94\) | −0.0488479 | + | 1.07642i | −0.00503828 | + | 0.111024i | ||||
\(95\) | 5.29831 | − | 3.05898i | 0.543595 | − | 0.313845i | ||||
\(96\) | −9.19355 | + | 3.38803i | −0.938312 | + | 0.345789i | ||||
\(97\) | −5.66601 | − | 3.27128i | −0.575297 | − | 0.332148i | 0.183965 | − | 0.982933i | \(-0.441107\pi\) |
−0.759262 | + | 0.650785i | \(0.774440\pi\) | |||||||
\(98\) | −4.99753 | + | 7.81493i | −0.504827 | + | 0.789428i | ||||
\(99\) | −10.9926 | − | 5.67538i | −1.10479 | − | 0.570397i | ||||
\(100\) | 10.8923 | − | 11.8052i | 1.08923 | − | 1.18052i | ||||
\(101\) | −11.7772 | − | 3.99781i | −1.17187 | − | 0.397797i | −0.333423 | − | 0.942777i | \(-0.608204\pi\) |
−0.838449 | + | 0.544980i | \(0.816537\pi\) | |||||||
\(102\) | 10.6973 | − | 10.9325i | 1.05919 | − | 1.08248i | ||||
\(103\) | −7.35838 | − | 5.64629i | −0.725043 | − | 0.556345i | 0.178968 | − | 0.983855i | \(-0.442724\pi\) |
−0.904011 | + | 0.427510i | \(0.859391\pi\) | |||||||
\(104\) | 7.40971 | + | 5.00637i | 0.726582 | + | 0.490915i | ||||
\(105\) | 18.1358 | + | 14.1837i | 1.76987 | + | 1.38419i | ||||
\(106\) | −9.69751 | − | 12.1254i | −0.941906 | − | 1.17772i | ||||
\(107\) | 10.7013 | + | 7.15036i | 1.03453 | + | 0.691252i | 0.952238 | − | 0.305357i | \(-0.0987757\pi\) |
0.0822930 | + | 0.996608i | \(0.473776\pi\) | |||||||
\(108\) | −9.79816 | + | 3.46353i | −0.942828 | + | 0.333279i | ||||
\(109\) | 3.96911 | − | 19.9540i | 0.380171 | − | 1.91125i | −0.0306397 | − | 0.999530i | \(-0.509754\pi\) |
0.410811 | − | 0.911720i | \(-0.365246\pi\) | |||||||
\(110\) | 16.1037 | + | 13.5598i | 1.53543 | + | 1.29287i | ||||
\(111\) | 5.49037 | + | 9.71547i | 0.521123 | + | 0.922151i | ||||
\(112\) | 3.08921 | + | 14.4016i | 0.291903 | + | 1.36082i | ||||
\(113\) | −0.196200 | − | 0.0525717i | −0.0184570 | − | 0.00494553i | 0.249579 | − | 0.968355i | \(-0.419708\pi\) |
−0.268036 | + | 0.963409i | \(0.586375\pi\) | |||||||
\(114\) | 4.08014 | + | 0.765554i | 0.382141 | + | 0.0717007i | ||||
\(115\) | 10.5911 | − | 12.0768i | 0.987624 | − | 1.12617i | ||||
\(116\) | 8.12468 | + | 4.96840i | 0.754358 | + | 0.461305i | ||||
\(117\) | 7.78786 | + | 5.41411i | 0.719988 | + | 0.500535i | ||||
\(118\) | −11.0937 | + | 4.85864i | −1.02126 | + | 0.447274i | ||||
\(119\) | −13.9976 | − | 18.2420i | −1.28316 | − | 1.67224i | ||||
\(120\) | 17.5648 | − | 2.05611i | 1.60344 | − | 0.187697i | ||||
\(121\) | −3.65570 | + | 4.76420i | −0.332336 | + | 0.433109i | ||||
\(122\) | 6.61060 | + | 1.62963i | 0.598495 | + | 0.147540i | ||||
\(123\) | −1.57923 | − | 3.27825i | −0.142394 | − | 0.295590i | ||||
\(124\) | 9.80210 | + | 0.891477i | 0.880255 | + | 0.0800570i | ||||
\(125\) | −9.09837 | + | 6.07934i | −0.813783 | + | 0.543752i | ||||
\(126\) | 3.07315 | + | 15.3174i | 0.273778 | + | 1.36458i | ||||
\(127\) | 5.64144 | 0.500597 | 0.250298 | − | 0.968169i | \(-0.419471\pi\) | ||||
0.250298 | + | 0.968169i | \(0.419471\pi\) | |||||||
\(128\) | 9.46819 | + | 6.19301i | 0.836878 | + | 0.547390i | ||||
\(129\) | −8.05162 | + | 7.90444i | −0.708906 | + | 0.695947i | ||||
\(130\) | −10.8840 | − | 11.9188i | −0.954590 | − | 1.04535i | ||||
\(131\) | 4.38404 | + | 2.16197i | 0.383035 | + | 0.188892i | 0.623605 | − | 0.781740i | \(-0.285668\pi\) |
−0.240570 | + | 0.970632i | \(0.577334\pi\) | |||||||
\(132\) | 2.30234 | + | 14.0983i | 0.200393 | + | 1.22710i | ||||
\(133\) | 2.00600 | − | 5.90948i | 0.173942 | − | 0.512417i | ||||
\(134\) | 0.531901 | − | 0.553726i | 0.0459493 | − | 0.0478347i | ||||
\(135\) | 18.6577 | − | 1.93286i | 1.60580 | − | 0.166354i | ||||
\(136\) | −17.4985 | − | 2.39541i | −1.50048 | − | 0.205405i | ||||
\(137\) | −13.7003 | − | 17.8545i | −1.17049 | − | 1.52541i | −0.803620 | − | 0.595142i | \(-0.797096\pi\) |
−0.366871 | − | 0.930272i | \(-0.619571\pi\) | |||||||
\(138\) | 10.7902 | − | 1.54013i | 0.918524 | − | 0.131105i | ||||
\(139\) | 15.6553 | + | 1.02610i | 1.32787 | + | 0.0870330i | 0.712759 | − | 0.701409i | \(-0.247446\pi\) |
0.615108 | + | 0.788442i | \(0.289112\pi\) | |||||||
\(140\) | 0.671159 | − | 26.5768i | 0.0567233 | − | 2.24615i | ||||
\(141\) | 1.10400 | − | 0.723030i | 0.0929737 | − | 0.0608901i | ||||
\(142\) | −3.98999 | + | 0.342182i | −0.334832 | + | 0.0287152i | ||||
\(143\) | 9.21906 | − | 9.21906i | 0.770937 | − | 0.770937i | ||||
\(144\) | 9.95428 | + | 6.70167i | 0.829523 | + | 0.558472i | ||||
\(145\) | −12.1546 | − | 12.1546i | −1.00939 | − | 1.00939i | ||||
\(146\) | −16.9474 | − | 14.2702i | −1.40258 | − | 1.18101i | ||||
\(147\) | 11.3431 | − | 0.638446i | 0.935560 | − | 0.0526582i | ||||
\(148\) | 5.23019 | − | 11.7767i | 0.429919 | − | 0.968040i | ||||
\(149\) | −0.719791 | + | 10.9819i | −0.0589675 | + | 0.899671i | 0.861230 | + | 0.508216i | \(0.169695\pi\) |
−0.920197 | + | 0.391455i | \(0.871972\pi\) | |||||||
\(150\) | −19.5310 | − | 2.35549i | −1.59470 | − | 0.192325i | ||||
\(151\) | 14.3791 | − | 11.0334i | 1.17015 | − | 0.897889i | 0.173932 | − | 0.984758i | \(-0.444353\pi\) |
0.996220 | + | 0.0868683i | \(0.0276859\pi\) | |||||||
\(152\) | −2.09798 | − | 4.31007i | −0.170169 | − | 0.349593i | ||||
\(153\) | −18.5245 | − | 2.78735i | −1.49762 | − | 0.225344i | ||||
\(154\) | 21.4702 | − | 0.431627i | 1.73012 | − | 0.0347815i | ||||
\(155\) | −16.8224 | − | 5.71045i | −1.35121 | − | 0.458675i | ||||
\(156\) | −0.339220 | − | 10.9470i | −0.0271594 | − | 0.876459i | ||||
\(157\) | −5.65294 | + | 11.4630i | −0.451153 | + | 0.914848i | 0.545879 | + | 0.837864i | \(0.316196\pi\) |
−0.997032 | + | 0.0769844i | \(0.975471\pi\) | |||||||
\(158\) | −9.53512 | − | 0.432705i | −0.758573 | − | 0.0344241i | ||||
\(159\) | −5.09087 | + | 18.3217i | −0.403732 | + | 1.45300i | ||||
\(160\) | −13.9940 | − | 14.8717i | −1.10633 | − | 1.17571i | ||||
\(161\) | − | 16.3852i | − | 1.29134i | ||||||
\(162\) | 10.4626 | + | 7.24799i | 0.822022 | + | 0.569456i | ||||
\(163\) | 0.929913 | + | 1.39171i | 0.0728364 | + | 0.109007i | 0.866100 | − | 0.499872i | \(-0.166619\pi\) |
−0.793263 | + | 0.608879i | \(0.791619\pi\) | |||||||
\(164\) | −1.95292 | + | 3.72030i | −0.152497 | + | 0.290506i | ||||
\(165\) | 1.92357 | − | 25.7118i | 0.149750 | − | 2.00166i | ||||
\(166\) | 13.6259 | − | 8.23642i | 1.05757 | − | 0.639270i | ||||
\(167\) | −14.8992 | − | 11.4325i | −1.15293 | − | 0.884675i | −0.158221 | − | 0.987404i | \(-0.550576\pi\) |
−0.994709 | + | 0.102729i | \(0.967243\pi\) | |||||||
\(168\) | 12.0879 | − | 13.3905i | 0.932605 | − | 1.03310i | ||||
\(169\) | 2.38329 | − | 1.82876i | 0.183330 | − | 0.140674i | ||||
\(170\) | 29.6910 | + | 11.6049i | 2.27719 | + | 0.890053i | ||||
\(171\) | −2.16424 | − | 4.60071i | −0.165504 | − | 0.351825i | ||||
\(172\) | 12.8701 | + | 2.02613i | 0.981337 | + | 0.154491i | ||||
\(173\) | 12.0338 | + | 10.5534i | 0.914913 | + | 0.802357i | 0.980708 | − | 0.195476i | \(-0.0626252\pi\) |
−0.0657957 | + | 0.997833i | \(0.520959\pi\) | |||||||
\(174\) | −0.889392 | − | 11.6298i | −0.0674246 | − | 0.881653i | ||||
\(175\) | −7.65418 | + | 28.5658i | −0.578602 | + | 2.15937i | ||||
\(176\) | 11.4880 | − | 11.8368i | 0.865937 | − | 0.892230i | ||||
\(177\) | 12.7767 | + | 7.53461i | 0.960355 | + | 0.566336i | ||||
\(178\) | 0.696226 | + | 8.11831i | 0.0521844 | + | 0.608493i | ||||
\(179\) | 13.0725 | + | 2.60029i | 0.977087 | + | 0.194355i | 0.657708 | − | 0.753273i | \(-0.271526\pi\) |
0.319378 | + | 0.947627i | \(0.396526\pi\) | |||||||
\(180\) | −14.6318 | − | 15.9698i | −1.09059 | − | 1.19032i | ||||
\(181\) | −1.40205 | + | 2.09832i | −0.104214 | + | 0.155967i | −0.879911 | − | 0.475138i | \(-0.842398\pi\) |
0.775698 | + | 0.631105i | \(0.217398\pi\) | |||||||
\(182\) | −16.3634 | − | 1.82050i | −1.21294 | − | 0.134945i | ||||
\(183\) | −3.11988 | − | 7.73304i | −0.230628 | − | 0.571643i | ||||
\(184\) | −8.85354 | − | 8.94516i | −0.652692 | − | 0.659446i | ||||
\(185\) | −14.1587 | + | 18.4520i | −1.04097 | + | 1.35662i | ||||
\(186\) | −6.14050 | − | 10.3734i | −0.450243 | − | 0.760617i | ||||
\(187\) | −8.27707 | + | 24.3835i | −0.605279 | + | 1.78309i | ||||
\(188\) | −1.43015 | − | 0.526098i | −0.104305 | − | 0.0383697i | ||||
\(189\) | 13.0090 | − | 14.0310i | 0.946263 | − | 1.02060i | ||||
\(190\) | 1.85816 | + | 8.45021i | 0.134805 | + | 0.613042i | ||||
\(191\) | 2.48238 | − | 4.29961i | 0.179619 | − | 0.311109i | −0.762131 | − | 0.647423i | \(-0.775847\pi\) |
0.941750 | + | 0.336314i | \(0.109180\pi\) | |||||||
\(192\) | −0.636218 | − | 13.8418i | −0.0459151 | − | 0.998945i | ||||
\(193\) | 0.241237 | + | 0.417835i | 0.0173646 | + | 0.0300764i | 0.874577 | − | 0.484886i | \(-0.161139\pi\) |
−0.857213 | + | 0.514963i | \(0.827806\pi\) | |||||||
\(194\) | 6.83242 | − | 6.23923i | 0.490539 | − | 0.447950i | ||||
\(195\) | −4.03524 | + | 19.3519i | −0.288970 | + | 1.38582i | ||||
\(196\) | −8.39792 | − | 10.0783i | −0.599852 | − | 0.719878i | ||||
\(197\) | 3.60879 | − | 0.717833i | 0.257116 | − | 0.0511435i | −0.0648493 | − | 0.997895i | \(-0.520657\pi\) |
0.321965 | + | 0.946752i | \(0.395657\pi\) | |||||||
\(198\) | 12.3507 | − | 12.3916i | 0.877728 | − | 0.880634i | ||||
\(199\) | 8.64017 | + | 20.8592i | 0.612486 | + | 1.47867i | 0.860261 | + | 0.509853i | \(0.170300\pi\) |
−0.247776 | + | 0.968817i | \(0.579700\pi\) | |||||||
\(200\) | 11.2565 | + | 19.7307i | 0.795956 | + | 1.39517i | ||||
\(201\) | −0.931154 | − | 0.131338i | −0.0656786 | − | 0.00926383i | ||||
\(202\) | 10.4248 | − | 14.1666i | 0.733486 | − | 0.996758i | ||||
\(203\) | −17.4965 | − | 1.14678i | −1.22801 | − | 0.0804881i | ||||
\(204\) | 10.1635 | + | 19.0947i | 0.711585 | + | 1.33689i | ||||
\(205\) | 5.00039 | − | 5.70186i | 0.349243 | − | 0.398235i | ||||
\(206\) | 10.7576 | − | 7.50509i | 0.749519 | − | 0.522905i | ||||
\(207\) | −9.26358 | − | 9.61183i | −0.643863 | − | 0.668068i | ||||
\(208\) | −9.91693 | + | 7.84789i | −0.687616 | + | 0.544153i | ||||
\(209\) | −6.75067 | + | 1.80884i | −0.466954 | + | 0.125120i | ||||
\(210\) | −26.8745 | + | 18.3829i | −1.85452 | + | 1.26854i | ||||
\(211\) | 3.10611 | − | 1.05438i | 0.213834 | − | 0.0725868i | −0.212467 | − | 0.977168i | \(-0.568150\pi\) |
0.426301 | + | 0.904581i | \(0.359817\pi\) | |||||||
\(212\) | 20.4918 | − | 7.88799i | 1.40738 | − | 0.541749i | ||||
\(213\) | 3.19971 | + | 3.71719i | 0.219241 | + | 0.254697i | ||||
\(214\) | −14.2145 | + | 11.3683i | −0.971683 | + | 0.777120i | ||||
\(215\) | −21.7259 | − | 8.99915i | −1.48169 | − | 0.613737i | ||||
\(216\) | −0.479483 | − | 14.6891i | −0.0326247 | − | 0.999468i | ||||
\(217\) | −16.7422 | + | 6.93483i | −1.13653 | + | 0.470767i | ||||
\(218\) | 25.2015 | + | 13.8823i | 1.70686 | + | 0.940230i | ||||
\(219\) | −2.02436 | + | 27.0589i | −0.136793 | + | 1.82847i | ||||
\(220\) | −25.1645 | + | 15.9104i | −1.69659 | + | 1.07268i | ||||
\(221\) | 8.73182 | − | 17.7064i | 0.587366 | − | 1.19106i | ||||
\(222\) | −15.4443 | + | 3.24707i | −1.03655 | + | 0.217929i | ||||
\(223\) | 1.54838 | + | 0.893958i | 0.103687 | + | 0.0598638i | 0.550947 | − | 0.834540i | \(-0.314267\pi\) |
−0.447260 | + | 0.894404i | \(0.647600\pi\) | |||||||
\(224\) | −20.7346 | − | 1.99342i | −1.38539 | − | 0.133191i | ||||
\(225\) | 11.6599 | + | 21.0845i | 0.777329 | + | 1.40563i | ||||
\(226\) | 0.154759 | − | 0.242005i | 0.0102944 | − | 0.0160979i | ||||
\(227\) | 17.4633 | − | 1.14460i | 1.15908 | − | 0.0759700i | 0.526297 | − | 0.850301i | \(-0.323580\pi\) |
0.632781 | + | 0.774330i | \(0.281913\pi\) | |||||||
\(228\) | −2.77656 | + | 5.17282i | −0.183882 | + | 0.342578i | ||||
\(229\) | 0.869721 | − | 0.762725i | 0.0574728 | − | 0.0504023i | −0.630128 | − | 0.776492i | \(-0.716997\pi\) |
0.687600 | + | 0.726089i | \(0.258664\pi\) | |||||||
\(230\) | 11.7514 | + | 19.4408i | 0.774864 | + | 1.28189i | ||||
\(231\) | −15.8178 | − | 21.0126i | −1.04073 | − | 1.38253i | ||||
\(232\) | −10.1715 | + | 8.82793i | −0.667789 | + | 0.579582i | ||||
\(233\) | −13.9810 | − | 5.79111i | −0.915924 | − | 0.379388i | −0.125603 | − | 0.992081i | \(-0.540086\pi\) |
−0.790321 | + | 0.612692i | \(0.790086\pi\) | |||||||
\(234\) | −10.6283 | + | 8.18331i | −0.694792 | + | 0.534960i | ||||
\(235\) | 2.28693 | + | 1.52808i | 0.149183 | + | 0.0996806i | ||||
\(236\) | −1.80619 | − | 17.0320i | −0.117573 | − | 1.10869i | ||||
\(237\) | 6.40474 | + | 9.77946i | 0.416033 | + | 0.635244i | ||||
\(238\) | 30.5757 | − | 11.0693i | 1.98193 | − | 0.717515i | ||||
\(239\) | 2.73471 | − | 10.2061i | 0.176894 | − | 0.660177i | −0.819327 | − | 0.573326i | \(-0.805653\pi\) |
0.996221 | − | 0.0868511i | \(-0.0276804\pi\) | |||||||
\(240\) | −4.73859 | + | 24.5570i | −0.305875 | + | 1.58515i | ||||
\(241\) | −4.34324 | − | 16.2092i | −0.279773 | − | 1.04413i | −0.952575 | − | 0.304303i | \(-0.901576\pi\) |
0.672803 | − | 0.739822i | \(-0.265090\pi\) | |||||||
\(242\) | −4.85919 | − | 6.96504i | −0.312360 | − | 0.447730i | ||||
\(243\) | −0.301302 | − | 15.5855i | −0.0193286 | − | 0.999813i | ||||
\(244\) | −5.02332 | + | 8.21448i | −0.321585 | + | 0.525878i | ||||
\(245\) | 10.4726 | + | 21.2364i | 0.669072 | + | 1.35674i | ||||
\(246\) | 5.09441 | − | 0.727146i | 0.324808 | − | 0.0463611i | ||||
\(247\) | 5.31243 | − | 0.699395i | 0.338022 | − | 0.0445014i | ||||
\(248\) | −5.39288 | + | 12.8323i | −0.342448 | + | 0.814854i | ||||
\(249\) | −17.9462 | − | 7.62823i | −1.13729 | − | 0.483419i | ||||
\(250\) | −4.30487 | − | 14.8642i | −0.272264 | − | 0.940097i | ||||
\(251\) | 5.38726 | − | 1.07159i | 0.340041 | − | 0.0676384i | −0.0221161 | − | 0.999755i | \(-0.507040\pi\) |
0.362157 | + | 0.932117i | \(0.382040\pi\) | |||||||
\(252\) | −21.9623 | − | 2.40666i | −1.38349 | − | 0.151605i | ||||
\(253\) | −15.2571 | + | 10.1944i | −0.959203 | + | 0.640919i | ||||
\(254\) | −2.41214 | + | 7.60482i | −0.151351 | + | 0.477169i | ||||
\(255\) | −9.75674 | − | 37.8041i | −0.610991 | − | 2.36738i | ||||
\(256\) | −12.3967 | + | 10.1154i | −0.774795 | + | 0.632213i | ||||
\(257\) | 9.12489 | + | 15.8048i | 0.569195 | + | 0.985875i | 0.996646 | + | 0.0818363i | \(0.0260785\pi\) |
−0.427451 | + | 0.904039i | \(0.640588\pi\) | |||||||
\(258\) | −7.21272 | − | 14.2336i | −0.449045 | − | 0.886142i | ||||
\(259\) | 1.55168 | + | 23.6740i | 0.0964165 | + | 1.47103i | ||||
\(260\) | 20.7206 | − | 9.57575i | 1.28504 | − | 0.593863i | ||||
\(261\) | −10.9120 | + | 9.21911i | −0.675439 | + | 0.570649i | ||||
\(262\) | −4.78890 | + | 4.98540i | −0.295859 | + | 0.307999i | ||||
\(263\) | −2.74119 | − | 0.360885i | −0.169029 | − | 0.0222531i | 0.0455365 | − | 0.998963i | \(-0.485500\pi\) |
−0.214566 | + | 0.976710i | \(0.568834\pi\) | |||||||
\(264\) | −19.9893 | − | 2.92446i | −1.23025 | − | 0.179988i | ||||
\(265\) | −39.2931 | + | 5.17303i | −2.41375 | + | 0.317777i | ||||
\(266\) | 7.10843 | + | 5.23089i | 0.435846 | + | 0.320727i | ||||
\(267\) | 7.56325 | − | 6.51036i | 0.462863 | − | 0.398427i | ||||
\(268\) | 0.519010 | + | 0.953778i | 0.0317036 | + | 0.0582613i | ||||
\(269\) | 7.92045 | + | 1.57547i | 0.482918 | + | 0.0960584i | 0.430545 | − | 0.902569i | \(-0.358321\pi\) |
0.0523733 | + | 0.998628i | \(0.483321\pi\) | |||||||
\(270\) | −5.37202 | + | 25.9775i | −0.326931 | + | 1.58094i | ||||
\(271\) | 3.23664 | − | 3.23664i | 0.196612 | − | 0.196612i | −0.601934 | − | 0.798546i | \(-0.705603\pi\) |
0.798546 | + | 0.601934i | \(0.205603\pi\) | |||||||
\(272\) | 10.7110 | − | 22.5642i | 0.649451 | − | 1.36816i | ||||
\(273\) | 9.92082 | + | 17.5554i | 0.600435 | + | 1.06250i | ||||
\(274\) | 29.9263 | − | 10.8342i | 1.80791 | − | 0.654516i | ||||
\(275\) | 31.3612 | − | 10.6457i | 1.89115 | − | 0.641959i | ||||
\(276\) | −2.53749 | + | 15.2040i | −0.152739 | + | 0.915175i | ||||
\(277\) | 12.3633 | − | 6.09689i | 0.742837 | − | 0.366327i | −0.0311614 | − | 0.999514i | \(-0.509921\pi\) |
0.773998 | + | 0.633188i | \(0.218254\pi\) | |||||||
\(278\) | −8.07705 | + | 20.6651i | −0.484429 | + | 1.23941i | ||||
\(279\) | −5.90053 | + | 13.5335i | −0.353256 | + | 0.810227i | ||||
\(280\) | 35.5393 | + | 12.2684i | 2.12388 | + | 0.733174i | ||||
\(281\) | −3.33613 | + | 25.3404i | −0.199017 | + | 1.51168i | 0.542104 | + | 0.840312i | \(0.317628\pi\) |
−0.741120 | + | 0.671372i | \(0.765705\pi\) | |||||||
\(282\) | 0.502620 | + | 1.79737i | 0.0299306 | + | 0.107032i | ||||
\(283\) | −0.0376732 | + | 0.0330385i | −0.00223944 | + | 0.00196394i | −0.660465 | − | 0.750857i | \(-0.729641\pi\) |
0.658225 | + | 0.752821i | \(0.271307\pi\) | |||||||
\(284\) | 1.24475 | − | 5.52492i | 0.0738625 | − | 0.327844i | ||||
\(285\) | 7.06002 | − | 7.90217i | 0.418199 | − | 0.468084i | ||||
\(286\) | 8.48571 | + | 16.3694i | 0.501770 | + | 0.967943i | ||||
\(287\) | − | 7.73599i | − | 0.456641i | ||||||
\(288\) | −13.2902 | + | 10.5532i | −0.783135 | + | 0.621852i | ||||
\(289\) | 21.9919i | 1.29364i | ||||||||
\(290\) | 21.5818 | − | 11.1877i | 1.26733 | − | 0.656967i | ||||
\(291\) | −11.0934 | − | 2.31319i | −0.650308 | − | 0.135602i | ||||
\(292\) | 26.4830 | − | 16.7440i | 1.54980 | − | 0.979870i | ||||
\(293\) | 6.02779 | − | 5.28623i | 0.352147 | − | 0.308825i | −0.464936 | − | 0.885344i | \(-0.653923\pi\) |
0.817084 | + | 0.576519i | \(0.195589\pi\) | |||||||
\(294\) | −3.98938 | + | 15.5638i | −0.232665 | + | 0.907697i | ||||
\(295\) | −4.03511 | + | 30.6497i | −0.234933 | + | 1.78450i | ||||
\(296\) | 13.6390 | + | 12.0859i | 0.792753 | + | 0.702477i | ||||
\(297\) | −21.1587 | − | 3.38358i | −1.22775 | − | 0.196335i | ||||
\(298\) | −14.4961 | − | 5.66588i | −0.839738 | − | 0.328216i | ||||
\(299\) | 12.6176 | − | 6.22231i | 0.729694 | − | 0.359845i | ||||
\(300\) | 11.5262 | − | 25.3212i | 0.665467 | − | 1.46192i | ||||
\(301\) | −22.7146 | + | 7.71056i | −1.30925 | + | 0.444430i | ||||
\(302\) | 8.72525 | + | 24.1010i | 0.502082 | + | 1.38686i | ||||
\(303\) | −21.5410 | − | 0.198700i | −1.23750 | − | 0.0114150i | ||||
\(304\) | 6.70714 | − | 0.985254i | 0.384681 | − | 0.0565082i | ||||
\(305\) | 12.2889 | − | 12.2889i | 0.703663 | − | 0.703663i | ||||
\(306\) | 11.6781 | − | 23.7798i | 0.667590 | − | 1.35940i | ||||
\(307\) | −1.10608 | − | 0.220013i | −0.0631274 | − | 0.0125568i | 0.163426 | − | 0.986556i | \(-0.447746\pi\) |
−0.226553 | + | 0.973999i | \(0.572746\pi\) | |||||||
\(308\) | −8.59829 | + | 29.1270i | −0.489933 | + | 1.65966i | ||||
\(309\) | −15.1640 | − | 5.30397i | −0.862650 | − | 0.301732i | ||||
\(310\) | 14.8907 | − | 20.2355i | 0.845736 | − | 1.14930i | ||||
\(311\) | −17.1129 | + | 2.25296i | −0.970386 | + | 0.127754i | −0.599021 | − | 0.800733i | \(-0.704443\pi\) |
−0.371365 | + | 0.928487i | \(0.621110\pi\) | |||||||
\(312\) | 14.9019 | + | 4.22338i | 0.843652 | + | 0.239102i | ||||
\(313\) | −15.3353 | − | 2.01893i | −0.866804 | − | 0.114117i | −0.316008 | − | 0.948757i | \(-0.602343\pi\) |
−0.550796 | + | 0.834640i | \(0.685676\pi\) | |||||||
\(314\) | −13.0354 | − | 12.5216i | −0.735631 | − | 0.706636i | ||||
\(315\) | 37.5188 | + | 13.5128i | 2.11394 | + | 0.761358i | ||||
\(316\) | 4.66028 | − | 12.6686i | 0.262161 | − | 0.712664i | ||||
\(317\) | 1.96836 | + | 30.0314i | 0.110554 | + | 1.68673i | 0.588623 | + | 0.808408i | \(0.299670\pi\) |
−0.478069 | + | 0.878322i | \(0.658663\pi\) | |||||||
\(318\) | −22.5214 | − | 14.6965i | −1.26294 | − | 0.824141i | ||||
\(319\) | 9.81800 | + | 17.0053i | 0.549702 | + | 0.952113i | ||||
\(320\) | 26.0310 | − | 12.5056i | 1.45518 | − | 0.699083i | ||||
\(321\) | 21.4783 | + | 5.96797i | 1.19880 | + | 0.333100i | ||||
\(322\) | 22.0877 | + | 7.00593i | 1.23090 | + | 0.390425i | ||||
\(323\) | −8.79927 | + | 5.87948i | −0.489604 | + | 0.327143i | ||||
\(324\) | −14.2441 | + | 11.0049i | −0.791337 | + | 0.611381i | ||||
\(325\) | −24.9040 | + | 4.95372i | −1.38143 | + | 0.274783i | ||||
\(326\) | −2.27368 | + | 0.658486i | −0.125927 | + | 0.0364702i | ||||
\(327\) | −4.27710 | − | 34.9780i | −0.236524 | − | 1.93429i | ||||
\(328\) | −4.18004 | − | 4.22330i | −0.230804 | − | 0.233193i | ||||
\(329\) | 2.78163 | − | 0.366209i | 0.153356 | − | 0.0201897i | ||||
\(330\) | 33.8377 | + | 13.5868i | 1.86271 | + | 0.747927i | ||||
\(331\) | −9.19949 | − | 18.6547i | −0.505650 | − | 1.02536i | −0.988720 | − | 0.149774i | \(-0.952145\pi\) |
0.483071 | − | 0.875581i | \(-0.339521\pi\) | |||||||
\(332\) | 5.27684 | + | 21.8897i | 0.289604 | + | 1.20136i | ||||
\(333\) | 14.2946 | + | 13.0103i | 0.783340 | + | 0.712959i | ||||
\(334\) | 21.7819 | − | 15.1962i | 1.19185 | − | 0.831499i | ||||
\(335\) | −0.507257 | − | 1.89311i | −0.0277144 | − | 0.103432i | ||||
\(336\) | 12.8822 | + | 22.0203i | 0.702783 | + | 1.20131i | ||||
\(337\) | 4.25097 | − | 15.8648i | 0.231565 | − | 0.864213i | −0.748102 | − | 0.663584i | \(-0.769035\pi\) |
0.979667 | − | 0.200629i | \(-0.0642986\pi\) | |||||||
\(338\) | 1.44618 | + | 3.99467i | 0.0786620 | + | 0.217281i | ||||
\(339\) | −0.351261 | + | 0.0197708i | −0.0190779 | + | 0.00107380i | ||||
\(340\) | −28.3388 | + | 35.0623i | −1.53689 | + | 1.90152i | ||||
\(341\) | 16.8739 | + | 11.2748i | 0.913771 | + | 0.610562i | ||||
\(342\) | 7.12726 | − | 0.950309i | 0.385398 | − | 0.0513868i | ||||
\(343\) | −1.49930 | − | 0.621030i | −0.0809545 | − | 0.0335324i | ||||
\(344\) | −8.23423 | + | 16.4829i | −0.443960 | + | 0.888701i | ||||
\(345\) | 10.8836 | − | 25.6049i | 0.585956 | − | 1.37852i | ||||
\(346\) | −19.3716 | + | 11.7095i | −1.04142 | + | 0.629508i | ||||
\(347\) | 21.3895 | − | 18.7581i | 1.14825 | − | 1.00699i | 0.148410 | − | 0.988926i | \(-0.452585\pi\) |
0.999837 | − | 0.0180591i | \(-0.00574871\pi\) | |||||||
\(348\) | 16.0576 | + | 3.77369i | 0.860776 | + | 0.202291i | ||||
\(349\) | 10.4142 | − | 0.682585i | 0.557461 | − | 0.0365379i | 0.215931 | − | 0.976409i | \(-0.430721\pi\) |
0.341530 | + | 0.939871i | \(0.389055\pi\) | |||||||
\(350\) | −35.2347 | − | 22.5321i | −1.88338 | − | 1.20439i | ||||
\(351\) | 15.7448 | + | 4.68940i | 0.840397 | + | 0.250302i | ||||
\(352\) | 11.0443 | + | 20.5472i | 0.588664 | + | 1.09517i | ||||
\(353\) | −2.37198 | − | 1.36947i | −0.126248 | − | 0.0728893i | 0.435546 | − | 0.900166i | \(-0.356555\pi\) |
−0.561794 | + | 0.827277i | \(0.689889\pi\) | |||||||
\(354\) | −15.6199 | + | 14.0017i | −0.830187 | + | 0.744183i | ||||
\(355\) | −4.52113 | + | 9.16795i | −0.239957 | + | 0.486584i | ||||
\(356\) | −11.2414 | − | 2.53266i | −0.595793 | − | 0.134231i | ||||
\(357\) | −32.9086 | − | 22.4306i | −1.74171 | − | 1.18715i | ||||
\(358\) | −9.09476 | + | 16.5103i | −0.480673 | + | 0.872597i | ||||
\(359\) | −22.4689 | + | 9.30690i | −1.18586 | + | 0.491200i | −0.886405 | − | 0.462911i | \(-0.846805\pi\) |
−0.299456 | + | 0.954110i | \(0.596805\pi\) | |||||||
\(360\) | 27.7840 | − | 12.8958i | 1.46434 | − | 0.679667i | ||||
\(361\) | 14.9001 | + | 6.17181i | 0.784214 | + | 0.324832i | ||||
\(362\) | −2.22911 | − | 2.78719i | −0.117159 | − | 0.146492i | ||||
\(363\) | −3.43407 | + | 9.81797i | −0.180242 | + | 0.515310i | ||||
\(364\) | 9.45069 | − | 21.2799i | 0.495351 | − | 1.11537i | ||||
\(365\) | −53.5517 | + | 18.1783i | −2.80302 | + | 0.951498i | ||||
\(366\) | 11.7583 | − | 0.899221i | 0.614618 | − | 0.0470031i | ||||
\(367\) | 8.08202 | − | 2.16557i | 0.421878 | − | 0.113042i | −0.0416330 | − | 0.999133i | \(-0.513256\pi\) |
0.463511 | + | 0.886091i | \(0.346589\pi\) | |||||||
\(368\) | 15.8439 | − | 8.11009i | 0.825919 | − | 0.422768i | ||||
\(369\) | −4.37363 | − | 4.53805i | −0.227682 | − | 0.236242i | ||||
\(370\) | −18.8199 | − | 26.9760i | −0.978401 | − | 1.40242i | ||||
\(371\) | −26.6554 | + | 30.3947i | −1.38388 | + | 1.57801i | ||||
\(372\) | 16.6092 | − | 3.84214i | 0.861147 | − | 0.199206i | ||||
\(373\) | 31.3484 | + | 2.05468i | 1.62316 | + | 0.106387i | 0.849632 | − | 0.527376i | \(-0.176824\pi\) |
0.773527 | + | 0.633763i | \(0.218491\pi\) | |||||||
\(374\) | −29.3305 | − | 21.5835i | −1.51664 | − | 1.11606i | ||||
\(375\) | −11.6761 | + | 14.9294i | −0.602949 | + | 0.770949i | ||||
\(376\) | 1.32069 | − | 1.70294i | 0.0681096 | − | 0.0878225i | ||||
\(377\) | −5.76122 | − | 13.9088i | −0.296718 | − | 0.716340i | ||||
\(378\) | 13.3518 | + | 23.5357i | 0.686743 | + | 1.21055i | ||||
\(379\) | −17.2562 | + | 3.43247i | −0.886392 | + | 0.176314i | −0.617232 | − | 0.786781i | \(-0.711746\pi\) |
−0.269160 | + | 0.963095i | \(0.586746\pi\) | |||||||
\(380\) | −12.1856 | − | 1.10825i | −0.625109 | − | 0.0568521i | ||||
\(381\) | 9.28128 | − | 3.05539i | 0.475494 | − | 0.156532i | ||||
\(382\) | 4.73459 | + | 5.18473i | 0.242243 | + | 0.265274i | ||||
\(383\) | 9.58570 | + | 16.6029i | 0.489806 | + | 0.848369i | 0.999931 | − | 0.0117311i | \(-0.00373421\pi\) |
−0.510125 | + | 0.860100i | \(0.670401\pi\) | |||||||
\(384\) | 18.9312 | + | 5.06078i | 0.966076 | + | 0.258257i | ||||
\(385\) | 27.4077 | − | 47.4715i | 1.39682 | − | 2.41937i | ||||
\(386\) | −0.666400 | + | 0.146538i | −0.0339189 | + | 0.00745860i | ||||
\(387\) | −8.96548 | + | 17.3651i | −0.455741 | + | 0.882717i | ||||
\(388\) | 5.48928 | + | 11.8780i | 0.278676 | + | 0.603016i | ||||
\(389\) | −1.22567 | + | 3.61070i | −0.0621438 | + | 0.183070i | −0.973568 | − | 0.228399i | \(-0.926651\pi\) |
0.911424 | + | 0.411469i | \(0.134984\pi\) | |||||||
\(390\) | −24.3615 | − | 13.7140i | −1.23359 | − | 0.694436i | ||||
\(391\) | −16.9149 | + | 22.0439i | −0.855421 | + | 1.11481i | ||||
\(392\) | 17.1766 | − | 7.01140i | 0.867548 | − | 0.354129i | ||||
\(393\) | 8.38352 | + | 1.18248i | 0.422892 | + | 0.0596482i | ||||
\(394\) | −0.575372 | + | 5.17168i | −0.0289868 | + | 0.260545i | ||||
\(395\) | −13.5360 | + | 20.2580i | −0.681069 | + | 1.01929i | ||||
\(396\) | 11.4234 | + | 21.9475i | 0.574046 | + | 1.10290i | ||||
\(397\) | 6.39744 | + | 1.27253i | 0.321078 | + | 0.0638665i | 0.352998 | − | 0.935624i | \(-0.385162\pi\) |
−0.0319198 | + | 0.999490i | \(0.510162\pi\) | |||||||
\(398\) | −31.8131 | + | 2.72830i | −1.59465 | + | 0.136757i | ||||
\(399\) | 0.0997025 | − | 10.8087i | 0.00499137 | − | 0.541112i | ||||
\(400\) | −31.4106 | + | 6.73772i | −1.57053 | + | 0.336886i | ||||
\(401\) | 4.86654 | − | 18.1622i | 0.243024 | − | 0.906976i | −0.731343 | − | 0.682010i | \(-0.761106\pi\) |
0.974367 | − | 0.224966i | \(-0.0722272\pi\) | |||||||
\(402\) | 0.575186 | − | 1.19907i | 0.0286877 | − | 0.0598039i | ||||
\(403\) | −11.6981 | − | 10.2590i | −0.582723 | − | 0.511035i | ||||
\(404\) | 14.6396 | + | 20.1102i | 0.728346 | + | 1.00052i | ||||
\(405\) | 29.6487 | − | 13.2849i | 1.47326 | − | 0.660130i | ||||
\(406\) | 9.02696 | − | 23.0954i | 0.448000 | − | 1.14621i | ||||
\(407\) | 21.0786 | − | 16.1741i | 1.04483 | − | 0.801723i | ||||
\(408\) | −30.0858 | + | 5.53621i | −1.48947 | + | 0.274083i | ||||
\(409\) | −15.2078 | − | 11.6694i | −0.751980 | − | 0.577014i | 0.160064 | − | 0.987107i | \(-0.448830\pi\) |
−0.912044 | + | 0.410092i | \(0.865496\pi\) | |||||||
\(410\) | 5.54821 | + | 9.17864i | 0.274007 | + | 0.453301i | ||||
\(411\) | −32.2096 | − | 21.9542i | −1.58878 | − | 1.08292i | ||||
\(412\) | 5.51738 | + | 17.7106i | 0.271822 | + | 0.872537i | ||||
\(413\) | 17.5195 | + | 26.2198i | 0.862080 | + | 1.29019i | ||||
\(414\) | 16.9179 | − | 8.37777i | 0.831469 | − | 0.411745i | ||||
\(415\) | − | 40.6415i | − | 1.99501i | ||||||
\(416\) | −6.33893 | − | 16.7239i | −0.310792 | − | 0.819955i | ||||
\(417\) | 26.3118 | − | 6.79074i | 1.28850 | − | 0.332544i | ||||
\(418\) | 0.448061 | − | 9.87351i | 0.0219154 | − | 0.482929i | ||||
\(419\) | 10.2294 | − | 20.7431i | 0.499737 | − | 1.01337i | −0.490167 | − | 0.871629i | \(-0.663064\pi\) |
0.989904 | − | 0.141739i | \(-0.0452692\pi\) | |||||||
\(420\) | −13.2898 | − | 44.0876i | −0.648474 | − | 2.15126i | ||||
\(421\) | 32.8115 | + | 11.1380i | 1.59913 | + | 0.542832i | 0.971777 | − | 0.235901i | \(-0.0758040\pi\) |
0.627355 | + | 0.778733i | \(0.284137\pi\) | |||||||
\(422\) | 0.0932394 | + | 4.63796i | 0.00453882 | + | 0.225772i | ||||
\(423\) | 1.42471 | − | 1.78745i | 0.0692717 | − | 0.0869088i | ||||
\(424\) | 1.87142 | + | 30.9962i | 0.0908843 | + | 1.50531i | ||||
\(425\) | 39.7867 | − | 30.5294i | 1.92994 | − | 1.48089i | ||||
\(426\) | −6.37899 | + | 2.72392i | −0.309063 | + | 0.131975i | ||||
\(427\) | 1.15945 | − | 17.6898i | 0.0561099 | − | 0.856072i | ||||
\(428\) | −9.24700 | − | 24.0223i | −0.446971 | − | 1.16116i | ||||
\(429\) | 10.1742 | − | 20.1602i | 0.491213 | − | 0.973343i | ||||
\(430\) | 21.4206 | − | 25.4393i | 1.03299 | − | 1.22679i | ||||
\(431\) | −16.3868 | − | 16.3868i | −0.789326 | − | 0.789326i | 0.192058 | − | 0.981384i | \(-0.438484\pi\) |
−0.981384 | + | 0.192058i | \(0.938484\pi\) | |||||||
\(432\) | 20.0064 | + | 5.63435i | 0.962556 | + | 0.271083i | ||||
\(433\) | −4.23873 | + | 4.23873i | −0.203700 | + | 0.203700i | −0.801583 | − | 0.597883i | \(-0.796009\pi\) |
0.597883 | + | 0.801583i | \(0.296009\pi\) | |||||||
\(434\) | −2.18980 | − | 25.5341i | −0.105114 | − | 1.22568i | ||||
\(435\) | −26.5796 | − | 13.4138i | −1.27440 | − | 0.643144i | ||||
\(436\) | −29.4893 | + | 28.0366i | −1.41228 | + | 1.34271i | ||||
\(437\) | −7.52517 | − | 0.493226i | −0.359978 | − | 0.0235942i | ||||
\(438\) | −35.6106 | − | 14.2986i | −1.70154 | − | 0.683215i | ||||
\(439\) | −20.8879 | − | 27.2217i | −0.996926 | − | 1.29922i | −0.953893 | − | 0.300146i | \(-0.902965\pi\) |
−0.0430332 | − | 0.999074i | \(-0.513702\pi\) | |||||||
\(440\) | −10.6880 | − | 40.7254i | −0.509529 | − | 1.94151i | ||||
\(441\) | 18.3158 | − | 7.19375i | 0.872181 | − | 0.342559i | ||||
\(442\) | 20.1352 | + | 19.3415i | 0.957732 | + | 0.919984i | ||||
\(443\) | 11.3778 | − | 33.5178i | 0.540573 | − | 1.59248i | −0.242237 | − | 0.970217i | \(-0.577881\pi\) |
0.782810 | − | 0.622261i | \(-0.213786\pi\) | |||||||
\(444\) | 2.22645 | − | 22.2077i | 0.105663 | − | 1.05393i | ||||
\(445\) | 18.6537 | + | 9.19901i | 0.884272 | + | 0.436075i | ||||
\(446\) | −1.86713 | + | 1.70502i | −0.0884111 | + | 0.0807353i | ||||
\(447\) | 4.76356 | + | 18.4572i | 0.225309 | + | 0.872995i | ||||
\(448\) | 11.5528 | − | 27.0985i | 0.545818 | − | 1.28028i | ||||
\(449\) | 14.6087 | 0.689428 | 0.344714 | − | 0.938708i | \(-0.387976\pi\) | ||||
0.344714 | + | 0.938708i | \(0.387976\pi\) | |||||||
\(450\) | −33.4080 | + | 6.70269i | −1.57487 | + | 0.315968i | ||||
\(451\) | −7.20334 | + | 4.81312i | −0.339192 | + | 0.226641i | ||||
\(452\) | 0.260058 | + | 0.312094i | 0.0122321 | + | 0.0146797i | ||||
\(453\) | 17.6807 | − | 25.9399i | 0.830712 | − | 1.21876i | ||||
\(454\) | −5.92392 | + | 24.0304i | −0.278023 | + | 1.12780i | ||||
\(455\) | −25.5841 | + | 33.3419i | −1.19940 | + | 1.56309i | ||||
\(456\) | −5.78591 | − | 5.95465i | −0.270950 | − | 0.278852i | ||||
\(457\) | 12.3529 | + | 16.0986i | 0.577845 | + | 0.753062i | 0.987230 | − | 0.159299i | \(-0.0509235\pi\) |
−0.409385 | + | 0.912362i | \(0.634257\pi\) | |||||||
\(458\) | 0.656302 | + | 1.49853i | 0.0306670 | + | 0.0700217i | ||||
\(459\) | −31.9861 | + | 5.44709i | −1.49298 | + | 0.254249i | ||||
\(460\) | −31.2314 | + | 7.52878i | −1.45617 | + | 0.351031i | ||||
\(461\) | 4.82172 | − | 5.49812i | 0.224570 | − | 0.256073i | −0.628572 | − | 0.777751i | \(-0.716360\pi\) |
0.853142 | + | 0.521678i | \(0.174694\pi\) | |||||||
\(462\) | 35.0889 | − | 12.3383i | 1.63248 | − | 0.574030i | ||||
\(463\) | −5.85612 | − | 1.56914i | −0.272157 | − | 0.0729242i | 0.120159 | − | 0.992755i | \(-0.461659\pi\) |
−0.392316 | + | 0.919830i | \(0.628326\pi\) | |||||||
\(464\) | −7.55122 | − | 17.4860i | −0.350557 | − | 0.811768i | ||||
\(465\) | −30.7690 | − | 0.283822i | −1.42688 | − | 0.0131619i | ||||
\(466\) | 13.7845 | − | 16.3706i | 0.638555 | − | 0.758354i | ||||
\(467\) | −5.69765 | + | 28.6440i | −0.263656 | + | 1.32549i | 0.591159 | + | 0.806555i | \(0.298671\pi\) |
−0.854815 | + | 0.518933i | \(0.826329\pi\) | |||||||
\(468\) | −6.48693 | − | 17.8262i | −0.299859 | − | 0.824016i | ||||
\(469\) | −1.66228 | − | 1.11070i | −0.0767568 | − | 0.0512873i | ||||
\(470\) | −3.03772 | + | 2.42947i | −0.140120 | + | 0.112063i | ||||
\(471\) | −3.09185 | + | 21.9205i | −0.142465 | + | 1.01004i | ||||
\(472\) | 23.7319 | + | 4.84770i | 1.09235 | + | 0.223133i | ||||
\(473\) | 21.3121 | + | 16.3533i | 0.979929 | + | 0.751926i | ||||
\(474\) | −15.9215 | + | 4.45231i | −0.731298 | + | 0.204501i | ||||
\(475\) | 12.8889 | + | 4.37518i | 0.591382 | + | 0.200747i | ||||
\(476\) | 1.84826 | + | 45.9499i | 0.0847148 | + | 2.10611i | ||||
\(477\) | 1.54750 | + | 32.9000i | 0.0708551 | + | 1.50639i | ||||
\(478\) | 12.5888 | + | 8.05035i | 0.575798 | + | 0.368214i | ||||
\(479\) | −4.79252 | − | 2.76696i | −0.218976 | − | 0.126426i | 0.386500 | − | 0.922289i | \(-0.373684\pi\) |
−0.605476 | + | 0.795864i | \(0.707017\pi\) | |||||||
\(480\) | −31.0774 | − | 16.8877i | −1.41848 | − | 0.770816i | ||||
\(481\) | −17.6411 | + | 10.1851i | −0.804366 | + | 0.464401i | ||||
\(482\) | 23.7075 | + | 1.07585i | 1.07985 | + | 0.0490036i | ||||
\(483\) | −8.87420 | − | 26.9569i | −0.403790 | − | 1.22658i | ||||
\(484\) | 11.4667 | − | 3.57224i | 0.521216 | − | 0.162374i | ||||
\(485\) | −4.60761 | − | 23.1640i | −0.209221 | − | 1.05182i | ||||
\(486\) | 21.1386 | + | 6.25784i | 0.958865 | + | 0.283861i | ||||
\(487\) | −0.284706 | + | 0.117929i | −0.0129013 | + | 0.00534388i | −0.389125 | − | 0.921185i | \(-0.627222\pi\) |
0.376223 | + | 0.926529i | \(0.377222\pi\) | |||||||
\(488\) | −8.92550 | − | 10.2839i | −0.404038 | − | 0.465529i | ||||
\(489\) | 2.28364 | + | 1.78600i | 0.103270 | + | 0.0807659i | ||||
\(490\) | −33.1051 | + | 5.03723i | −1.49554 | + | 0.227559i | ||||
\(491\) | −1.73116 | + | 26.4123i | −0.0781260 | + | 1.19197i | 0.761264 | + | 0.648442i | \(0.224579\pi\) |
−0.839390 | + | 0.543530i | \(0.817087\pi\) | |||||||
\(492\) | −1.19803 | + | 7.17831i | −0.0540115 | + | 0.323623i | ||||
\(493\) | 22.3550 | + | 19.6048i | 1.00682 | + | 0.882957i | ||||
\(494\) | −1.32866 | + | 7.46035i | −0.0597794 | + | 0.335657i | ||||
\(495\) | −10.7608 | − | 43.3427i | −0.483661 | − | 1.94811i | ||||
\(496\) | −14.9925 | − | 12.7565i | −0.673182 | − | 0.572786i | ||||
\(497\) | 2.69875 | + | 10.0719i | 0.121055 | + | 0.451785i | ||||
\(498\) | 17.9564 | − | 20.9303i | 0.804646 | − | 0.937908i | ||||
\(499\) | −8.97901 | − | 26.4513i | −0.401956 | − | 1.18412i | −0.939991 | − | 0.341200i | \(-0.889167\pi\) |
0.538035 | − | 0.842923i | \(-0.319167\pi\) | |||||||
\(500\) | 21.8781 | + | 0.552498i | 0.978417 | + | 0.0247085i | ||||
\(501\) | −30.7039 | − | 10.7394i | −1.37175 | − | 0.479801i | ||||
\(502\) | −0.858926 | + | 7.72037i | −0.0383357 | + | 0.344577i | ||||
\(503\) | −3.31051 | + | 7.99228i | −0.147608 | + | 0.356358i | −0.980339 | − | 0.197320i | \(-0.936776\pi\) |
0.832731 | + | 0.553678i | \(0.186776\pi\) | |||||||
\(504\) | 12.6348 | − | 28.5768i | 0.562798 | − | 1.27291i | ||||
\(505\) | −17.1813 | − | 41.4793i | −0.764558 | − | 1.84581i | ||||
\(506\) | −7.21884 | − | 24.9258i | −0.320916 | − | 1.10809i | ||||
\(507\) | 2.93052 | − | 4.29945i | 0.130149 | − | 0.190945i | ||||
\(508\) | −9.22013 | − | 6.50327i | −0.409077 | − | 0.288536i | ||||
\(509\) | 11.6738 | + | 5.75689i | 0.517433 | + | 0.255170i | 0.682204 | − | 0.731162i | \(-0.261022\pi\) |
−0.164771 | + | 0.986332i | \(0.552688\pi\) | |||||||
\(510\) | 55.1327 | + | 3.01175i | 2.44132 | + | 0.133362i | ||||
\(511\) | −28.8436 | + | 49.9587i | −1.27597 | + | 2.21004i | ||||
\(512\) | −8.33530 | − | 21.0362i | −0.368372 | − | 0.929679i | ||||
\(513\) | −6.05234 | − | 6.39692i | −0.267217 | − | 0.282431i | ||||
\(514\) | −25.2069 | + | 5.54287i | −1.11183 | + | 0.244486i | ||||
\(515\) | −2.18982 | − | 33.4101i | −0.0964948 | − | 1.47223i | ||||
\(516\) | 22.2712 | − | 3.63703i | 0.980436 | − | 0.160111i | ||||
\(517\) | −2.07165 | − | 2.36226i | −0.0911110 | − | 0.103892i | ||||
\(518\) | −32.5767 | − | 8.03073i | −1.43134 | − | 0.352850i | ||||
\(519\) | 25.5136 | + | 10.8449i | 1.11992 | + | 0.476037i | ||||
\(520\) | 4.04875 | + | 32.0263i | 0.177549 | + | 1.40445i | ||||
\(521\) | −16.2777 | + | 39.2979i | −0.713140 | + | 1.72167i | −0.0211381 | + | 0.999777i | \(0.506729\pi\) |
−0.692002 | + | 0.721896i | \(0.743271\pi\) | |||||||
\(522\) | −7.76189 | − | 18.6516i | −0.339729 | − | 0.816359i | ||||
\(523\) | −13.7541 | + | 20.5844i | −0.601423 | + | 0.900093i | −0.999854 | − | 0.0171054i | \(-0.994555\pi\) |
0.398431 | + | 0.917198i | \(0.369555\pi\) | |||||||
\(524\) | −4.67284 | − | 8.58720i | −0.204134 | − | 0.375134i | ||||
\(525\) | 2.87853 | + | 51.1418i | 0.125629 | + | 2.23201i | ||||
\(526\) | 1.65855 | − | 3.54090i | 0.0723162 | − | 0.154391i | ||||
\(527\) | 29.6831 | + | 7.95356i | 1.29302 | + | 0.346462i | ||||
\(528\) | 12.4892 | − | 25.6957i | 0.543522 | − | 1.11826i | ||||
\(529\) | 3.09084 | − | 0.828187i | 0.134384 | − | 0.0360081i | ||||
\(530\) | 9.82738 | − | 55.1800i | 0.426874 | − | 2.39687i | ||||
\(531\) | 25.1009 | + | 5.47609i | 1.08929 | + | 0.237642i | ||||
\(532\) | −10.0908 | + | 7.34576i | −0.437491 | + | 0.318479i | ||||
\(533\) | 5.95717 | − | 2.93775i | 0.258034 | − | 0.127248i | ||||
\(534\) | 5.54228 | + | 12.9791i | 0.239838 | + | 0.561662i | ||||
\(535\) | 6.06429 | + | 46.0629i | 0.262182 | + | 1.99147i | ||||
\(536\) | −1.50764 | + | 0.291828i | −0.0651199 | + | 0.0126051i | ||||
\(537\) | 22.9152 | − | 2.80206i | 0.988863 | − | 0.120918i | ||||
\(538\) | −5.51037 | + | 10.0033i | −0.237569 | + | 0.431275i | ||||
\(539\) | −5.27695 | − | 26.5290i | −0.227294 | − | 1.14268i | ||||
\(540\) | −32.7214 | − | 18.3490i | −1.40811 | − | 0.789614i | ||||
\(541\) | −1.53397 | − | 2.29575i | −0.0659507 | − | 0.0987022i | 0.797028 | − | 0.603942i | \(-0.206404\pi\) |
−0.862979 | + | 0.505240i | \(0.831404\pi\) | |||||||
\(542\) | 2.97917 | + | 5.74699i | 0.127966 | + | 0.246854i | ||||
\(543\) | −1.17021 | + | 4.21149i | −0.0502184 | + | 0.180732i | ||||
\(544\) | 25.8374 | + | 24.0867i | 1.10777 | + | 1.03271i | ||||
\(545\) | 63.6035 | − | 36.7215i | 2.72447 | − | 1.57298i | ||||
\(546\) | −27.9070 | + | 5.86730i | −1.19431 | + | 0.251097i | ||||
\(547\) | 30.0006 | − | 1.96634i | 1.28273 | − | 0.0840748i | 0.591262 | − | 0.806479i | \(-0.298630\pi\) |
0.691471 | + | 0.722405i | \(0.256963\pi\) | |||||||
\(548\) | 1.80900 | + | 44.9739i | 0.0772767 | + | 1.92119i | ||||
\(549\) | −9.32100 | − | 11.0327i | −0.397811 | − | 0.470862i | ||||
\(550\) | 0.941400 | + | 46.8275i | 0.0401414 | + | 1.99673i | ||||
\(551\) | −1.05335 | + | 8.00100i | −0.0448743 | + | 0.340854i | ||||
\(552\) | −19.4105 | − | 9.92149i | −0.826165 | − | 0.422287i | ||||
\(553\) | 3.24395 | + | 24.6402i | 0.137947 | + | 1.04781i | ||||
\(554\) | 2.93254 | + | 19.2729i | 0.124592 | + | 0.818828i | ||||
\(555\) | −13.3003 | + | 38.0256i | −0.564568 | + | 1.61409i | ||||
\(556\) | −24.4035 | − | 19.7240i | −1.03494 | − | 0.836483i | ||||
\(557\) | 4.24115 | − | 21.3217i | 0.179703 | − | 0.903429i | −0.780719 | − | 0.624882i | \(-0.785147\pi\) |
0.960423 | − | 0.278547i | \(-0.0898529\pi\) | |||||||
\(558\) | −15.7206 | − | 13.7407i | −0.665504 | − | 0.581689i | ||||
\(559\) | −14.5635 | − | 14.5635i | −0.615970 | − | 0.615970i | ||||
\(560\) | −31.7338 | + | 42.6624i | −1.34100 | + | 1.80281i | ||||
\(561\) | −0.411388 | + | 44.5984i | −0.0173688 | + | 1.88295i | ||||
\(562\) | −32.7332 | − | 15.3322i | −1.38077 | − | 0.646748i | ||||
\(563\) | 4.82477 | + | 14.2133i | 0.203340 | + | 0.599019i | 0.999985 | − | 0.00542731i | \(-0.00172758\pi\) |
−0.796646 | + | 0.604447i | \(0.793394\pi\) | |||||||
\(564\) | −2.63782 | − | 0.0909674i | −0.111072 | − | 0.00383042i | ||||
\(565\) | −0.324306 | − | 0.657627i | −0.0136436 | − | 0.0276666i | ||||
\(566\) | −0.0284287 | − | 0.0649111i | −0.00119495 | − | 0.00272842i | ||||
\(567\) | 13.8032 | − | 30.1293i | 0.579679 | − | 1.26531i | ||||
\(568\) | 6.91553 | + | 4.04028i | 0.290169 | + | 0.169527i | ||||
\(569\) | −1.99259 | − | 0.262330i | −0.0835339 | − | 0.0109974i | 0.0886434 | − | 0.996063i | \(-0.471747\pi\) |
−0.172177 | + | 0.985066i | \(0.555080\pi\) | |||||||
\(570\) | 7.63365 | + | 12.8959i | 0.319738 | + | 0.540149i | ||||
\(571\) | 2.19810 | + | 2.50645i | 0.0919876 | + | 0.104892i | 0.796002 | − | 0.605294i | \(-0.206944\pi\) |
−0.704015 | + | 0.710186i | \(0.748611\pi\) | |||||||
\(572\) | −25.6947 | + | 4.43981i | −1.07435 | + | 0.185638i | ||||
\(573\) | 1.75535 | − | 8.41815i | 0.0733307 | − | 0.351673i | ||||
\(574\) | 10.4283 | + | 3.30772i | 0.435270 | + | 0.138062i | ||||
\(575\) | 35.7370 | 1.49034 | ||||||||
\(576\) | −8.54338 | − | 22.4279i | −0.355974 | − | 0.934496i | ||||
\(577\) | 31.2835 | 1.30235 | 0.651175 | − | 0.758928i | \(-0.274276\pi\) | ||||
0.651175 | + | 0.758928i | \(0.274276\pi\) | |||||||
\(578\) | −29.6457 | − | 9.40320i | −1.23310 | − | 0.391121i | ||||
\(579\) | 0.623181 | + | 0.556767i | 0.0258985 | + | 0.0231385i | ||||
\(580\) | 5.85354 | + | 33.8764i | 0.243055 | + | 1.40664i | ||||
\(581\) | −27.3343 | − | 31.1688i | −1.13402 | − | 1.29310i | ||||
\(582\) | 7.86153 | − | 13.9652i | 0.325871 | − | 0.578875i | ||||
\(583\) | 44.8862 | + | 5.90938i | 1.85900 | + | 0.244742i | ||||
\(584\) | 11.2479 | + | 42.8591i | 0.465443 | + | 1.77352i | ||||
\(585\) | 3.84217 | + | 34.0232i | 0.158854 | + | 1.40668i | ||||
\(586\) | 4.54865 | + | 10.3859i | 0.187903 | + | 0.429037i | ||||
\(587\) | 2.50200 | + | 5.07355i | 0.103269 | + | 0.209408i | 0.942374 | − | 0.334560i | \(-0.108588\pi\) |
−0.839106 | + | 0.543968i | \(0.816921\pi\) | |||||||
\(588\) | −19.2746 | − | 12.0325i | −0.794872 | − | 0.496211i | ||||
\(589\) | 2.68096 | + | 7.89785i | 0.110467 | + | 0.325425i | ||||
\(590\) | −39.5914 | − | 18.5445i | −1.62995 | − | 0.763466i | ||||
\(591\) | 5.54839 | − | 3.13549i | 0.228230 | − | 0.128977i | ||||
\(592\) | −22.1238 | + | 13.2182i | −0.909284 | + | 0.543264i | ||||
\(593\) | −0.984363 | − | 0.984363i | −0.0404229 | − | 0.0404229i | 0.686606 | − | 0.727029i | \(-0.259100\pi\) |
−0.727029 | + | 0.686606i | \(0.759100\pi\) | |||||||
\(594\) | 13.6081 | − | 27.0758i | 0.558347 | − | 1.11093i | ||||
\(595\) | 16.1933 | − | 81.4091i | 0.663859 | − | 3.33745i | ||||
\(596\) | 13.8360 | − | 17.1186i | 0.566743 | − | 0.701204i | ||||
\(597\) | 25.5121 | + | 29.6380i | 1.04414 | + | 1.21300i | ||||
\(598\) | 2.99287 | + | 19.6694i | 0.122387 | + | 0.804341i | ||||
\(599\) | −5.33914 | − | 40.5548i | −0.218151 | − | 1.65702i | −0.653622 | − | 0.756821i | \(-0.726751\pi\) |
0.435471 | − | 0.900203i | \(-0.356582\pi\) | |||||||
\(600\) | 29.2053 | + | 26.3644i | 1.19230 | + | 1.07632i | ||||
\(601\) | 2.50082 | − | 18.9956i | 0.102011 | − | 0.774848i | −0.861609 | − | 0.507572i | \(-0.830543\pi\) |
0.963620 | − | 0.267276i | \(-0.0861235\pi\) | |||||||
\(602\) | −0.681847 | − | 33.9167i | −0.0277900 | − | 1.38234i | ||||
\(603\) | −1.60306 | + | 0.288235i | −0.0652818 | + | 0.0117378i | ||||
\(604\) | −36.2196 | + | 1.45687i | −1.47375 | + | 0.0592793i | ||||
\(605\) | −21.6315 | + | 1.41780i | −0.879444 | + | 0.0576418i | ||||
\(606\) | 9.47825 | − | 28.9529i | 0.385028 | − | 1.17613i | ||||
\(607\) | 4.65166 | − | 2.68564i | 0.188805 | − | 0.109007i | −0.402618 | − | 0.915368i | \(-0.631900\pi\) |
0.591423 | + | 0.806361i | \(0.298566\pi\) | |||||||
\(608\) | −1.53966 | + | 9.46268i | −0.0624414 | + | 0.383762i | ||||
\(609\) | −29.4062 | + | 7.58936i | −1.19160 | + | 0.307537i | ||||
\(610\) | 11.3114 | + | 21.8203i | 0.457985 | + | 0.883478i | ||||
\(611\) | 1.33833 | + | 2.00295i | 0.0541430 | + | 0.0810308i | ||||
\(612\) | 27.0625 | + | 25.9100i | 1.09394 | + | 1.04735i | ||||
\(613\) | 2.68903 | + | 13.5186i | 0.108609 | + | 0.546013i | 0.996327 | + | 0.0856265i | \(0.0272892\pi\) |
−0.887719 | + | 0.460387i | \(0.847711\pi\) | |||||||
\(614\) | 0.769517 | − | 1.39696i | 0.0310552 | − | 0.0563765i | ||||
\(615\) | 5.13852 | − | 12.0889i | 0.207205 | − | 0.487470i | ||||
\(616\) | −35.5875 | − | 24.0447i | −1.43386 | − | 0.968789i | ||||
\(617\) | 1.77188 | + | 13.4588i | 0.0713332 | + | 0.541829i | 0.989379 | + | 0.145356i | \(0.0464327\pi\) |
−0.918046 | + | 0.396473i | \(0.870234\pi\) | |||||||
\(618\) | 13.6337 | − | 18.1737i | 0.548426 | − | 0.731051i | ||||
\(619\) | 21.0929 | − | 10.4019i | 0.847796 | − | 0.418087i | 0.0341284 | − | 0.999417i | \(-0.489134\pi\) |
0.813667 | + | 0.581331i | \(0.197468\pi\) | |||||||
\(620\) | 20.9111 | + | 28.7253i | 0.839809 | + | 1.15364i | ||||
\(621\) | −20.4462 | − | 10.7962i | −0.820476 | − | 0.433238i | ||||
\(622\) | 4.28003 | − | 24.0320i | 0.171613 | − | 0.963597i | ||||
\(623\) | 20.4929 | − | 5.49106i | 0.821032 | − | 0.219995i | ||||
\(624\) | −12.0649 | + | 18.2823i | −0.482983 | + | 0.731878i | ||||
\(625\) | 0.632778 | + | 0.169552i | 0.0253111 | + | 0.00678209i | ||||
\(626\) | 9.27859 | − | 19.8092i | 0.370847 | − | 0.791735i | ||||
\(627\) | −10.1265 | + | 6.63204i | −0.404414 | + | 0.264858i | ||||
\(628\) | 22.4531 | − | 12.2182i | 0.895977 | − | 0.487557i | ||||
\(629\) | 22.3517 | − | 33.4517i | 0.891220 | − | 1.33380i | ||||
\(630\) | −34.2577 | + | 44.7986i | −1.36486 | + | 1.78482i | ||||
\(631\) | 5.78074 | − | 13.9559i | 0.230128 | − | 0.555577i | −0.766064 | − | 0.642764i | \(-0.777788\pi\) |
0.996192 | + | 0.0871866i | \(0.0277876\pi\) | |||||||
\(632\) | 15.0850 | + | 11.6990i | 0.600048 | + | 0.465360i | ||||
\(633\) | 4.53912 | − | 3.41693i | 0.180414 | − | 0.135811i | ||||
\(634\) | −41.3248 | − | 10.1873i | −1.64122 | − | 0.404589i | ||||
\(635\) | 13.4275 | + | 15.3112i | 0.532856 | + | 0.607605i | ||||
\(636\) | 29.4410 | − | 24.0756i | 1.16741 | − | 0.954660i | ||||
\(637\) | 1.35633 | + | 20.6937i | 0.0537399 | + | 0.819913i | ||||
\(638\) | −27.1215 | + | 5.96389i | −1.07375 | + | 0.236113i | ||||
\(639\) | 7.27738 | + | 4.38255i | 0.287889 | + | 0.173371i | ||||
\(640\) | 5.72765 | + | 40.4376i | 0.226405 | + | 1.59843i | ||||
\(641\) | −10.8069 | + | 18.7181i | −0.426846 | + | 0.739319i | −0.996591 | − | 0.0825026i | \(-0.973709\pi\) |
0.569745 | + | 0.821822i | \(0.307042\pi\) | |||||||
\(642\) | −17.2286 | + | 26.4016i | −0.679958 | + | 1.04199i | ||||
\(643\) | −0.204936 | − | 0.101063i | −0.00808189 | − | 0.00398555i | 0.438243 | − | 0.898856i | \(-0.355601\pi\) |
−0.446325 | + | 0.894871i | \(0.647268\pi\) | |||||||
\(644\) | −18.8884 | + | 26.7793i | −0.744306 | + | 1.05525i | ||||
\(645\) | −40.6172 | − | 3.03870i | −1.59930 | − | 0.119649i | ||||
\(646\) | −4.16335 | − | 14.3756i | −0.163805 | − | 0.565600i | ||||
\(647\) | −6.03473 | − | 14.5691i | −0.237250 | − | 0.572772i | 0.759747 | − | 0.650219i | \(-0.225323\pi\) |
−0.996996 | + | 0.0774475i | \(0.975323\pi\) | |||||||
\(648\) | −8.74443 | − | 23.9068i | −0.343514 | − | 0.939148i | ||||
\(649\) | 13.5143 | − | 32.6265i | 0.530484 | − | 1.28070i | ||||
\(650\) | 3.97061 | − | 35.6894i | 0.155740 | − | 1.39985i | ||||
\(651\) | −23.7883 | + | 20.4767i | −0.932336 | + | 0.802545i | ||||
\(652\) | 0.0845117 | − | 3.34653i | 0.00330973 | − | 0.131060i | ||||
\(653\) | 12.3848 | + | 36.4845i | 0.484656 | + | 1.42775i | 0.864469 | + | 0.502687i | \(0.167655\pi\) |
−0.379813 | + | 0.925063i | \(0.624012\pi\) | |||||||
\(654\) | 48.9801 | + | 9.19009i | 1.91527 | + | 0.359361i | ||||
\(655\) | 4.56702 | + | 17.0443i | 0.178448 | + | 0.665978i | ||||
\(656\) | 7.48041 | − | 3.82903i | 0.292061 | − | 0.149499i | ||||
\(657\) | 11.3246 | + | 45.6136i | 0.441814 | + | 1.77956i | ||||
\(658\) | −0.695698 | + | 3.90630i | −0.0271211 | + | 0.152283i | ||||
\(659\) | −36.1482 | − | 31.7011i | −1.40813 | − | 1.23490i | −0.935350 | − | 0.353723i | \(-0.884916\pi\) |
−0.472785 | − | 0.881178i | \(-0.656751\pi\) | |||||||
\(660\) | −32.7835 | + | 39.8048i | −1.27610 | + | 1.54940i | ||||
\(661\) | −0.864507 | + | 13.1898i | −0.0336254 | + | 0.513025i | 0.947513 | + | 0.319718i | \(0.103588\pi\) |
−0.981138 | + | 0.193307i | \(0.938079\pi\) | |||||||
\(662\) | 29.0805 | − | 4.42486i | 1.13025 | − | 0.171977i | ||||
\(663\) | 4.77583 | − | 33.8596i | 0.185478 | − | 1.31500i | ||||
\(664\) | −31.7642 | − | 2.24620i | −1.23269 | − | 0.0871693i | ||||
\(665\) | 20.8133 | − | 8.62113i | 0.807104 | − | 0.334313i | ||||
\(666\) | −23.6503 | + | 13.7066i | −0.916429 | + | 0.531122i | ||||
\(667\) | 4.13364 | + | 20.7812i | 0.160055 | + | 0.804652i | ||||
\(668\) | 11.1715 | + | 35.8601i | 0.432238 | + | 1.38747i | ||||
\(669\) | 3.03155 | + | 0.632137i | 0.117207 | + | 0.0244398i | ||||
\(670\) | 2.76886 | + | 0.125651i | 0.106970 | + | 0.00485432i | ||||
\(671\) | −17.1932 | + | 9.92651i | −0.663737 | + | 0.383209i | ||||
\(672\) | −35.1921 | + | 7.95023i | −1.35757 | + | 0.306687i | ||||
\(673\) | −20.8770 | − | 12.0534i | −0.804751 | − | 0.464623i | 0.0403790 | − | 0.999184i | \(-0.487143\pi\) |
−0.845130 | + | 0.534561i | \(0.820477\pi\) | |||||||
\(674\) | 19.5686 | + | 12.5138i | 0.753756 | + | 0.482015i | ||||
\(675\) | 30.6022 | + | 28.3732i | 1.17788 | + | 1.09208i | ||||
\(676\) | −6.00328 | + | 0.241472i | −0.230895 | + | 0.00928739i | ||||
\(677\) | −27.2422 | − | 9.24747i | −1.04700 | − | 0.355409i | −0.255649 | − | 0.966770i | \(-0.582289\pi\) |
−0.791352 | + | 0.611360i | \(0.790623\pi\) | |||||||
\(678\) | 0.123539 | − | 0.481962i | 0.00474449 | − | 0.0185097i | ||||
\(679\) | −19.1131 | − | 14.6660i | −0.733495 | − | 0.562831i | ||||
\(680\) | −35.1480 | − | 53.1933i | −1.34786 | − | 2.03987i | ||||
\(681\) | 28.1106 | − | 11.3412i | 1.07720 | − | 0.434595i | ||||
\(682\) | −22.4135 | + | 17.9256i | −0.858259 | + | 0.686408i | ||||
\(683\) | −34.9390 | − | 23.3455i | −1.33690 | − | 0.893291i | −0.338049 | − | 0.941128i | \(-0.609767\pi\) |
−0.998855 | + | 0.0478376i | \(0.984767\pi\) | |||||||
\(684\) | −1.76640 | + | 10.0141i | −0.0675401 | + | 0.382898i | ||||
\(685\) | 15.8493 | − | 79.6799i | 0.605571 | − | 3.04441i | ||||
\(686\) | 1.47823 | − | 1.75556i | 0.0564390 | − | 0.0670275i | ||||
\(687\) | 1.01777 | − | 1.72587i | 0.0388304 | − | 0.0658461i | ||||
\(688\) | −18.6987 | − | 18.1477i | −0.712882 | − | 0.691874i | ||||
\(689\) | −33.5282 | − | 8.98384i | −1.27732 | − | 0.342257i | ||||
\(690\) | 29.8625 | + | 25.6195i | 1.13684 | + | 0.975317i | ||||
\(691\) | −29.7147 | + | 33.8831i | −1.13040 | + | 1.28897i | −0.178031 | + | 0.984025i | \(0.556973\pi\) |
−0.952369 | + | 0.304949i | \(0.901361\pi\) | |||||||
\(692\) | −7.50196 | − | 31.1201i | −0.285182 | − | 1.18301i | ||||
\(693\) | −37.4037 | − | 26.0031i | −1.42085 | − | 0.987774i | ||||
\(694\) | 16.1408 | + | 36.8541i | 0.612695 | + | 1.39896i | ||||
\(695\) | 34.4773 | + | 44.9317i | 1.30780 | + | 1.70436i | ||||
\(696\) | −11.9529 | + | 20.0325i | −0.453073 | + | 0.759330i | ||||
\(697\) | −7.98605 | + | 10.4076i | −0.302493 | + | 0.394217i | ||||
\(698\) | −3.53273 | + | 14.3305i | −0.133716 | + | 0.542419i | ||||
\(699\) | −26.1379 | − | 1.95545i | −0.988626 | − | 0.0739621i | ||||
\(700\) | 45.4394 | − | 37.8632i | 1.71745 | − | 1.43110i | ||||
\(701\) | −26.0666 | + | 17.4172i | −0.984523 | + | 0.657837i | −0.940001 | − | 0.341171i | \(-0.889176\pi\) |
−0.0445221 | + | 0.999008i | \(0.514176\pi\) | |||||||
\(702\) | −13.0535 | + | 19.2194i | −0.492674 | + | 0.725389i | ||||
\(703\) | 10.9194 | 0.411831 | ||||||||
\(704\) | −32.4205 | + | 6.10257i | −1.22189 | + | 0.229999i | ||||
\(705\) | 4.59004 | + | 1.27539i | 0.172871 | + | 0.0480340i | ||||
\(706\) | 2.86028 | − | 2.61195i | 0.107648 | − | 0.0983020i | ||||
\(707\) | −41.0745 | − | 20.2557i | −1.54477 | − | 0.761794i | ||||
\(708\) | −12.1960 | − | 27.0428i | −0.458355 | − | 1.01633i | ||||
\(709\) | −13.7982 | + | 40.6481i | −0.518201 | + | 1.52657i | 0.301322 | + | 0.953522i | \(0.402572\pi\) |
−0.819522 | + | 0.573047i | \(0.805761\pi\) | |||||||
\(710\) | −10.4255 | − | 10.0146i | −0.391263 | − | 0.375841i | ||||
\(711\) | 15.8336 | + | 12.6203i | 0.593806 | + | 0.473300i | ||||
\(712\) | 8.22064 | − | 14.0708i | 0.308082 | − | 0.527326i | ||||
\(713\) | 13.3309 | + | 17.3732i | 0.499246 | + | 0.650630i | ||||
\(714\) | 44.3080 | − | 34.7709i | 1.65819 | − | 1.30127i | ||||
\(715\) | 46.9639 | + | 3.07818i | 1.75635 | + | 0.115117i | ||||
\(716\) | −18.3677 | − | 19.3194i | −0.686432 | − | 0.722000i | ||||
\(717\) | −1.02845 | − | 18.2721i | −0.0384082 | − | 0.682385i | ||||
\(718\) | −2.93883 | − | 34.2680i | −0.109676 | − | 1.27887i | ||||
\(719\) | 6.22596 | − | 6.22596i | 0.232189 | − | 0.232189i | −0.581417 | − | 0.813606i | \(-0.697501\pi\) |
0.813606 | + | 0.581417i | \(0.197501\pi\) | |||||||
\(720\) | 5.50410 | + | 42.9675i | 0.205126 | + | 1.60130i | ||||
\(721\) | −24.1501 | − | 24.1501i | −0.899397 | − | 0.899397i | ||||
\(722\) | −14.6907 | + | 17.4468i | −0.546731 | + | 0.649303i | ||||
\(723\) | −15.9243 | − | 24.3150i | −0.592232 | − | 0.904285i | ||||
\(724\) | 4.71033 | − | 1.81316i | 0.175058 | − | 0.0673857i | ||||
\(725\) | 2.50118 | − | 38.1607i | 0.0928916 | − | 1.41725i | ||||
\(726\) | −11.7666 | − | 8.82714i | −0.436698 | − | 0.327606i | ||||
\(727\) | 15.0542 | − | 11.5515i | 0.558330 | − | 0.428421i | −0.290663 | − | 0.956825i | \(-0.593876\pi\) |
0.848993 | + | 0.528404i | \(0.177209\pi\) | |||||||
\(728\) | 24.6451 | + | 21.8386i | 0.913407 | + | 0.809391i | ||||
\(729\) | −8.93679 | − | 25.4781i | −0.330992 | − | 0.943633i | ||||
\(730\) | −1.60752 | − | 79.9617i | −0.0594968 | − | 2.95952i | ||||
\(731\) | 38.5189 | + | 13.0754i | 1.42467 | + | 0.483611i | ||||
\(732\) | −3.81540 | + | 16.2350i | −0.141021 | + | 0.600065i | ||||
\(733\) | 16.6089 | − | 33.6796i | 0.613464 | − | 1.24398i | −0.339416 | − | 0.940636i | \(-0.610229\pi\) |
0.952880 | − | 0.303346i | \(-0.0981039\pi\) | |||||||
\(734\) | −0.536426 | + | 11.8207i | −0.0197999 | + | 0.436311i | ||||
\(735\) | 28.7311 | + | 29.2661i | 1.05976 | + | 1.07950i | ||||
\(736\) | 4.15816 | + | 24.8257i | 0.153272 | + | 0.915086i | ||||
\(737\) | 2.23887i | 0.0824698i | ||||||||
\(738\) | 7.98748 | − | 3.95542i | 0.294023 | − | 0.145601i | ||||
\(739\) | −12.6270 | − | 18.8976i | −0.464491 | − | 0.695160i | 0.523089 | − | 0.852278i | \(-0.324780\pi\) |
−0.987580 | + | 0.157118i | \(0.949780\pi\) | |||||||
\(740\) | 44.4114 | − | 13.8355i | 1.63259 | − | 0.508602i | ||||
\(741\) | 8.36120 | − | 4.02784i | 0.307156 | − | 0.147966i | ||||
\(742\) | −29.5757 | − | 48.9283i | −1.08576 | − | 1.79622i | ||||
\(743\) | 37.6822 | + | 28.9146i | 1.38243 | + | 1.06077i | 0.990012 | + | 0.140983i | \(0.0450263\pi\) |
0.392413 | + | 0.919789i | \(0.371640\pi\) | |||||||
\(744\) | −1.92239 | + | 24.0325i | −0.0704781 | + | 0.881074i | ||||
\(745\) | −31.5186 | + | 24.1851i | −1.15475 | + | 0.886074i | ||||
\(746\) | −16.1736 | + | 41.3800i | −0.592157 | + | 1.51503i | ||||
\(747\) | −33.6564 | − | 2.83034i | −1.23142 | − | 0.103557i | ||||
\(748\) | 41.6362 | − | 30.3098i | 1.52237 | − | 1.10823i | ||||
\(749\) | 35.6314 | + | 31.2479i | 1.30194 | + | 1.14177i | ||||
\(750\) | −15.1328 | − | 22.1231i | −0.552572 | − | 0.807821i | ||||
\(751\) | 7.25430 | − | 27.0734i | 0.264713 | − | 0.987923i | −0.697713 | − | 0.716378i | \(-0.745799\pi\) |
0.962426 | − | 0.271545i | \(-0.0875346\pi\) | |||||||
\(752\) | 1.73091 | + | 2.50847i | 0.0631200 | + | 0.0914745i | ||||
\(753\) | 8.28274 | − | 4.68071i | 0.301840 | − | 0.170575i | ||||
\(754\) | 21.2128 | − | 1.81921i | 0.772525 | − | 0.0662518i | ||||
\(755\) | 64.1699 | + | 12.7642i | 2.33538 | + | 0.464536i | ||||
\(756\) | −37.4357 | + | 7.93529i | −1.36152 | + | 0.288604i | ||||
\(757\) | 3.06527 | − | 4.58749i | 0.111409 | − | 0.166735i | −0.771575 | − | 0.636138i | \(-0.780531\pi\) |
0.882984 | + | 0.469403i | \(0.155531\pi\) | |||||||
\(758\) | 2.75127 | − | 24.7295i | 0.0999305 | − | 0.898216i | ||||
\(759\) | −19.5796 | + | 25.0350i | −0.710693 | + | 0.908714i | ||||
\(760\) | 6.70423 | − | 15.9527i | 0.243188 | − | 0.578665i | ||||
\(761\) | −20.6998 | + | 26.9765i | −0.750367 | + | 0.977898i | 0.249587 | + | 0.968352i | \(0.419705\pi\) |
−0.999954 | + | 0.00954534i | \(0.996962\pi\) | |||||||
\(762\) | 0.150300 | + | 13.8178i | 0.00544480 | + | 0.500567i | ||||
\(763\) | 24.0810 | − | 70.9404i | 0.871791 | − | 2.56821i | ||||
\(764\) | −9.01355 | + | 4.16549i | −0.326099 | + | 0.150702i | ||||
\(765\) | −36.5263 | − | 56.9109i | −1.32061 | − | 2.05762i | ||||
\(766\) | −26.4798 | + | 5.82278i | −0.956754 | + | 0.210386i | ||||
\(767\) | −13.5378 | + | 23.4481i | −0.488820 | + | 0.846661i | ||||
\(768\) | −14.9166 | + | 23.3559i | −0.538255 | + | 0.842782i | ||||
\(769\) | −2.75272 | − | 4.76785i | −0.0992655 | − | 0.171933i | 0.812115 | − | 0.583497i | \(-0.198316\pi\) |
−0.911381 | + | 0.411564i | \(0.864983\pi\) | |||||||
\(770\) | 52.2740 | + | 57.2439i | 1.88382 | + | 2.06293i | ||||
\(771\) | 23.5721 | + | 21.0600i | 0.848927 | + | 0.758456i | ||||
\(772\) | 0.0873990 | − | 0.960982i | 0.00314556 | − | 0.0345865i | ||||
\(773\) | −31.3630 | + | 6.23849i | −1.12805 | + | 0.224383i | −0.723628 | − | 0.690190i | \(-0.757527\pi\) |
−0.404421 | + | 0.914573i | \(0.632527\pi\) | |||||||
\(774\) | −19.5752 | − | 19.5106i | −0.703616 | − | 0.701294i | ||||
\(775\) | −15.1252 | − | 36.5155i | −0.543314 | − | 1.31168i | ||||
\(776\) | −18.3590 | + | 2.32094i | −0.659050 | + | 0.0833167i | ||||
\(777\) | 15.3746 | + | 38.1080i | 0.551560 | + | 1.36712i | ||||
\(778\) | −4.34326 | − | 3.19608i | −0.155713 | − | 0.114585i | ||||
\(779\) | −3.55287 | − | 0.232868i | −0.127295 | − | 0.00834335i | ||||
\(780\) | 28.9033 | − | 26.9762i | 1.03490 | − | 0.965904i | ||||
\(781\) | 7.69930 | − | 8.77937i | 0.275503 | − | 0.314151i | ||||
\(782\) | −22.4834 | − | 32.2271i | −0.804004 | − | 1.15244i | ||||
\(783\) | −12.9594 | + | 21.0772i | −0.463132 | + | 0.753237i | ||||
\(784\) | 2.10728 | + | 26.1524i | 0.0752601 | + | 0.934014i | ||||
\(785\) | −44.5662 | + | 11.9415i | −1.59063 | + | 0.426209i | ||||
\(786\) | −5.17860 | + | 10.7956i | −0.184715 | + | 0.385067i | ||||
\(787\) | −17.2123 | + | 5.84277i | −0.613550 | + | 0.208272i | −0.610879 | − | 0.791724i | \(-0.709184\pi\) |
−0.00267166 | + | 0.999996i | \(0.500850\pi\) | |||||||
\(788\) | −6.72555 | − | 2.98690i | −0.239588 | − | 0.106404i | ||||
\(789\) | −4.70526 | + | 0.890896i | −0.167512 | + | 0.0317167i | ||||
\(790\) | −21.5207 | − | 26.9087i | −0.765674 | − | 0.957370i | ||||
\(791\) | −0.691018 | − | 0.286229i | −0.0245698 | − | 0.0101771i | ||||
\(792\) | −34.4702 | + | 6.01482i | −1.22484 | + | 0.213727i | ||||
\(793\) | 14.0625 | − | 5.82489i | 0.499375 | − | 0.206848i | ||||
\(794\) | −4.45080 | + | 8.07983i | −0.157953 | + | 0.286742i | ||||
\(795\) | −61.8432 | + | 29.7917i | −2.19335 | + | 1.05660i | ||||
\(796\) | 9.92471 | − | 44.0515i | 0.351772 | − | 1.56137i | ||||
\(797\) | −8.19782 | + | 16.6235i | −0.290382 | + | 0.588836i | −0.992362 | − | 0.123361i | \(-0.960633\pi\) |
0.701980 | + | 0.712196i | \(0.252299\pi\) | |||||||
\(798\) | 14.5278 | + | 4.75594i | 0.514279 | + | 0.168359i | ||||
\(799\) | −4.12031 | − | 2.37886i | −0.145766 | − | 0.0841581i | ||||
\(800\) | 4.34775 | − | 45.2232i | 0.153716 | − | 1.59888i | ||||
\(801\) | 8.91704 | − | 14.8071i | 0.315068 | − | 0.523182i | ||||
\(802\) | 22.4023 | + | 14.3259i | 0.791053 | + | 0.505867i | ||||
\(803\) | 64.4646 | − | 4.22523i | 2.27491 | − | 0.149105i | ||||
\(804\) | 1.37044 | + | 1.28806i | 0.0483316 | + | 0.0454263i | ||||
\(805\) | 44.4704 | − | 38.9995i | 1.56738 | − | 1.37455i | ||||
\(806\) | 18.8312 | − | 11.3829i | 0.663300 | − | 0.400945i | ||||
\(807\) | 13.8840 | − | 1.69773i | 0.488739 | − | 0.0597628i | ||||
\(808\) | −33.3686 | + | 11.1359i | −1.17390 | + | 0.391760i | ||||
\(809\) | −15.0640 | − | 6.23970i | −0.529621 | − | 0.219376i | 0.101816 | − | 0.994803i | \(-0.467535\pi\) |
−0.631437 | + | 0.775427i | \(0.717535\pi\) | |||||||
\(810\) | 5.23131 | + | 45.6475i | 0.183810 | + | 1.60389i | ||||
\(811\) | 18.7539 | + | 12.5310i | 0.658539 | + | 0.440022i | 0.839420 | − | 0.543483i | \(-0.182895\pi\) |
−0.180881 | + | 0.983505i | \(0.557895\pi\) | |||||||
\(812\) | 27.2735 | + | 22.0436i | 0.957113 | + | 0.773579i | ||||
\(813\) | 3.57195 | − | 7.07786i | 0.125274 | − | 0.248231i | ||||
\(814\) | 12.7905 | + | 35.3302i | 0.448308 | + | 1.23832i | ||||
\(815\) | −1.56384 | + | 5.83634i | −0.0547790 | + | 0.204438i | ||||
\(816\) | 5.40100 | − | 42.9237i | 0.189073 | − | 1.50263i | ||||
\(817\) | 2.85744 | + | 10.6641i | 0.0999693 | + | 0.373091i | ||||
\(818\) | 22.2332 | − | 15.5111i | 0.777365 | − | 0.542331i | ||||
\(819\) | 25.8296 | + | 23.5089i | 0.902561 | + | 0.821468i | ||||
\(820\) | −14.7453 | + | 3.55458i | −0.514930 | + | 0.124131i | ||||
\(821\) | 12.9845 | + | 26.3300i | 0.453162 | + | 0.918922i | 0.996825 | + | 0.0796184i | \(0.0253702\pi\) |
−0.543663 | + | 0.839303i | \(0.682963\pi\) | |||||||
\(822\) | 43.3669 | − | 34.0323i | 1.51259 | − | 1.18701i | ||||
\(823\) | 0.823702 | − | 0.108442i | 0.0287125 | − | 0.00378007i | −0.116156 | − | 0.993231i | \(-0.537057\pi\) |
0.144869 | + | 0.989451i | \(0.453724\pi\) | |||||||
\(824\) | −26.2334 | − | 0.135033i | −0.913885 | − | 0.00470408i | ||||
\(825\) | 45.8296 | − | 34.4994i | 1.59558 | − | 1.20111i | ||||
\(826\) | −42.8360 | + | 12.4058i | −1.49045 | + | 0.431655i | ||||
\(827\) | 2.00802 | − | 0.399420i | 0.0698258 | − | 0.0138892i | −0.160054 | − | 0.987108i | \(-0.551167\pi\) |
0.229880 | + | 0.973219i | \(0.426167\pi\) | |||||||
\(828\) | 4.05979 | + | 26.3879i | 0.141087 | + | 0.917044i | ||||
\(829\) | 10.1852 | − | 6.80553i | 0.353747 | − | 0.236366i | −0.365981 | − | 0.930622i | \(-0.619267\pi\) |
0.719728 | + | 0.694256i | \(0.244267\pi\) | |||||||
\(830\) | 54.7859 | + | 17.3773i | 1.90165 | + | 0.603176i | ||||
\(831\) | 17.0380 | − | 16.7265i | 0.591040 | − | 0.580236i | ||||
\(832\) | 25.2546 | − | 1.39434i | 0.875546 | − | 0.0483400i | ||||
\(833\) | −20.4792 | − | 35.4711i | −0.709564 | − | 1.22900i | ||||
\(834\) | −2.09619 | + | 38.3726i | −0.0725852 | + | 1.32874i | ||||
\(835\) | −4.43391 | − | 67.6484i | −0.153442 | − | 2.34107i | ||||
\(836\) | 13.1182 | + | 4.82567i | 0.453702 | + | 0.166899i | ||||
\(837\) | −2.37785 | + | 25.4609i | −0.0821904 | + | 0.880058i | ||||
\(838\) | 23.5885 | + | 22.6587i | 0.814850 | + | 0.782733i | ||||
\(839\) | −2.92613 | − | 0.385233i | −0.101021 | − | 0.0132997i | 0.0798460 | − | 0.996807i | \(-0.474557\pi\) |
−0.180867 | + | 0.983508i | \(0.557890\pi\) | |||||||
\(840\) | 65.1137 | + | 0.935835i | 2.24664 | + | 0.0322894i | ||||
\(841\) | −6.27201 | + | 0.825726i | −0.216276 | + | 0.0284733i | ||||
\(842\) | −29.0437 | + | 39.4684i | −1.00091 | + | 1.36017i | ||||
\(843\) | 8.23572 | + | 43.4968i | 0.283653 | + | 1.49811i | ||||
\(844\) | −6.29196 | − | 1.85739i | −0.216578 | − | 0.0639340i | ||||
\(845\) | 10.6360 | + | 2.11562i | 0.365888 | + | 0.0727797i | ||||
\(846\) | 1.80036 | + | 2.68482i | 0.0618977 | + | 0.0923059i | ||||
\(847\) | −15.6360 | + | 15.6360i | −0.537261 | + | 0.537261i | ||||
\(848\) | −42.5840 | − | 10.7305i | −1.46234 | − | 0.368487i | ||||
\(849\) | −0.0440863 | + | 0.0747586i | −0.00151304 | + | 0.00256571i | ||||
\(850\) | 24.1427 | + | 66.6872i | 0.828086 | + | 2.28735i | ||||
\(851\) | 27.1479 | − | 9.21547i | 0.930618 | − | 0.315902i | ||||
\(852\) | −0.944423 | − | 9.76374i | −0.0323554 | − | 0.334500i | ||||
\(853\) | −44.8258 | + | 22.1056i | −1.53481 | + | 0.756883i | −0.996317 | − | 0.0857491i | \(-0.972672\pi\) |
−0.538490 | + | 0.842632i | \(0.681005\pi\) | |||||||
\(854\) | 23.3506 | + | 9.12673i | 0.799043 | + | 0.312310i | ||||
\(855\) | 7.33533 | − | 16.8243i | 0.250863 | − | 0.575379i | ||||
\(856\) | 36.3366 | − | 2.19385i | 1.24196 | − | 0.0749842i | ||||
\(857\) | 3.26156 | − | 24.7740i | 0.111413 | − | 0.846263i | −0.840911 | − | 0.541173i | \(-0.817980\pi\) |
0.952324 | − | 0.305089i | \(-0.0986864\pi\) | |||||||
\(858\) | 22.8263 | + | 22.3351i | 0.779276 | + | 0.762506i | ||||
\(859\) | −8.53035 | + | 7.48091i | −0.291052 | + | 0.255245i | −0.792402 | − | 0.609999i | \(-0.791170\pi\) |
0.501351 | + | 0.865244i | \(0.332837\pi\) | |||||||
\(860\) | 25.1339 | + | 39.7527i | 0.857059 | + | 1.35556i | ||||
\(861\) | −4.18979 | − | 12.7272i | −0.142788 | − | 0.433743i | ||||
\(862\) | 29.0965 | − | 15.0833i | 0.991032 | − | 0.513739i | ||||
\(863\) | 34.3438i | 1.16908i | 0.811366 | + | 0.584539i | \(0.198724\pi\) | ||||
−0.811366 | + | 0.584539i | \(0.801276\pi\) | |||||||
\(864\) | −16.1495 | + | 24.5600i | −0.549417 | + | 0.835548i | ||||
\(865\) | 57.7791i | 1.96455i | ||||||||
\(866\) | −3.90155 | − | 7.52630i | −0.132580 | − | 0.255754i | ||||
\(867\) | 11.9107 | + | 36.1810i | 0.404510 | + | 1.22877i | ||||
\(868\) | 35.3570 | + | 7.96584i | 1.20009 | + | 0.270378i | ||||
\(869\) | 20.9254 | − | 18.3511i | 0.709845 | − | 0.622517i | ||||
\(870\) | 29.4470 | − | 30.0947i | 0.998347 | − | 1.02030i | ||||
\(871\) | 0.224052 | − | 1.70184i | 0.00759170 | − | 0.0576647i | ||||
\(872\) | −25.1852 | − | 51.7402i | −0.852878 | − | 1.75214i | ||||
\(873\) | −19.5037 | + | 2.20251i | −0.660100 | + | 0.0745438i | ||||
\(874\) | 3.88246 | − | 9.93324i | 0.131326 | − | 0.335997i | ||||
\(875\) | −36.1382 | + | 17.8214i | −1.22169 | + | 0.602473i | ||||
\(876\) | 34.5012 | − | 41.8903i | 1.16569 | − | 1.41534i | ||||
\(877\) | −20.2167 | + | 6.86265i | −0.682670 | + | 0.231735i | −0.641165 | − | 0.767403i | \(-0.721549\pi\) |
−0.0415051 | + | 0.999138i | \(0.513215\pi\) | |||||||
\(878\) | 45.6268 | − | 16.5182i | 1.53983 | − | 0.557462i | ||||
\(879\) | 7.05390 | − | 11.9615i | 0.237922 | − | 0.403452i | ||||
\(880\) | 59.4688 | + | 3.00551i | 2.00469 | + | 0.101316i | ||||
\(881\) | −26.9032 | + | 26.9032i | −0.906393 | + | 0.906393i | −0.995979 | − | 0.0895863i | \(-0.971446\pi\) |
0.0895863 | + | 0.995979i | \(0.471446\pi\) | |||||||
\(882\) | 1.86598 | + | 27.7661i | 0.0628308 | + | 0.934932i | ||||
\(883\) | −6.93648 | − | 1.37975i | −0.233431 | − | 0.0464323i | 0.0769885 | − | 0.997032i | \(-0.475470\pi\) |
−0.310420 | + | 0.950600i | \(0.600470\pi\) | |||||||
\(884\) | −34.6823 | + | 18.8728i | −1.16649 | + | 0.634761i | ||||
\(885\) | 9.96126 | + | 52.6103i | 0.334844 | + | 1.76847i | ||||
\(886\) | 40.3181 | + | 29.6689i | 1.35451 | + | 0.996747i | ||||
\(887\) | 45.5122 | − | 5.99180i | 1.52815 | − | 0.201185i | 0.680899 | − | 0.732377i | \(-0.261589\pi\) |
0.847251 | + | 0.531192i | \(0.178256\pi\) | |||||||
\(888\) | 28.9846 | + | 12.4968i | 0.972659 | + | 0.419364i | ||||
\(889\) | 20.5957 | + | 2.71148i | 0.690758 | + | 0.0909400i | ||||
\(890\) | −20.3764 | + | 21.2125i | −0.683019 | + | 0.711044i | ||||
\(891\) | −36.6428 | + | 5.89284i | −1.22758 | + | 0.197418i | ||||
\(892\) | −1.50008 | − | 3.24597i | −0.0502264 | − | 0.108683i | ||||
\(893\) | −0.0844547 | − | 1.28853i | −0.00282617 | − | 0.0431190i | ||||
\(894\) | −26.9176 | − | 1.47043i | −0.900259 | − | 0.0491787i | ||||
\(895\) | 24.0574 | + | 41.6687i | 0.804151 | + | 1.39283i | ||||
\(896\) | 31.5898 | + | 27.1601i | 1.05534 | + | 0.907357i | ||||
\(897\) | 17.3884 | − | 17.0706i | 0.580583 | − | 0.569970i | ||||
\(898\) | −6.24633 | + | 19.6930i | −0.208443 | + | 0.657162i | ||||
\(899\) | 19.4844 | − | 13.0191i | 0.649841 | − | 0.434210i | ||||
\(900\) | 5.24905 | − | 47.9009i | 0.174968 | − | 1.59670i | ||||
\(901\) | 67.2381 | − | 13.3745i | 2.24003 | − | 0.445569i | ||||
\(902\) | −3.40825 | − | 11.7683i | −0.113482 | − | 0.391841i | ||||
\(903\) | −33.1939 | + | 24.9876i | −1.10463 | + | 0.831534i | ||||
\(904\) | −0.531906 | + | 0.217122i | −0.0176909 | + | 0.00722137i | ||||
\(905\) | −9.03206 | + | 1.18909i | −0.300236 | + | 0.0395268i | ||||
\(906\) | 27.4078 | + | 34.9253i | 0.910564 | + | 1.16032i | ||||
\(907\) | 12.4649 | + | 25.2764i | 0.413891 | + | 0.839288i | 0.999586 | + | 0.0287565i | \(0.00915473\pi\) |
−0.585696 | + | 0.810531i | \(0.699179\pi\) | |||||||
\(908\) | −29.8607 | − | 18.2604i | −0.990963 | − | 0.605993i | ||||
\(909\) | −35.5467 | + | 11.3396i | −1.17901 | + | 0.376112i | ||||
\(910\) | −34.0066 | − | 48.7443i | −1.12731 | − | 1.61586i | ||||
\(911\) | −8.15636 | − | 30.4400i | −0.270232 | − | 1.00852i | −0.958969 | − | 0.283510i | \(-0.908501\pi\) |
0.688737 | − | 0.725011i | \(-0.258165\pi\) | |||||||
\(912\) | 10.5009 | − | 5.25350i | 0.347721 | − | 0.173961i | ||||
\(913\) | −12.0161 | + | 44.8446i | −0.397674 | + | 1.48414i | ||||
\(914\) | −26.9832 | + | 9.76869i | −0.892525 | + | 0.323119i | ||||
\(915\) | 13.5621 | − | 26.8734i | 0.448348 | − | 0.888407i | ||||
\(916\) | −2.30068 | + | 0.243979i | −0.0760166 | + | 0.00806129i | ||||
\(917\) | 14.9661 | + | 10.0000i | 0.494223 | + | 0.330230i | ||||
\(918\) | 6.33365 | − | 45.4472i | 0.209041 | − | 1.49998i | ||||
\(919\) | −42.9549 | − | 17.7925i | −1.41695 | − | 0.586921i | −0.462859 | − | 0.886432i | \(-0.653177\pi\) |
−0.954093 | + | 0.299511i | \(0.903177\pi\) | |||||||
\(920\) | 3.20478 | − | 45.3199i | 0.105659 | − | 1.49415i | ||||
\(921\) | −1.93888 | + | 0.237086i | −0.0638882 | + | 0.00781223i | ||||
\(922\) | 5.34997 | + | 8.85068i | 0.176192 | + | 0.291482i | ||||
\(923\) | −6.73108 | + | 5.90300i | −0.221556 | + | 0.194300i | ||||
\(924\) | 1.62922 | + | 52.5764i | 0.0535973 | + | 1.72964i | ||||
\(925\) | −51.6342 | + | 3.38428i | −1.69772 | + | 0.111275i | ||||
\(926\) | 4.61918 | − | 7.22328i | 0.151796 | − | 0.237372i | ||||
\(927\) | −27.8204 | − | 0.513290i | −0.913741 | − | 0.0168586i | ||||
\(928\) | 26.8004 | − | 2.70266i | 0.879765 | − | 0.0887190i | ||||
\(929\) | 32.5089 | + | 18.7690i | 1.06658 | + | 0.615792i | 0.927246 | − | 0.374453i | \(-0.122170\pi\) |
0.139337 | + | 0.990245i | \(0.455503\pi\) | |||||||
\(930\) | 13.5387 | − | 41.3561i | 0.443951 | − | 1.35612i | ||||
\(931\) | 4.91672 | − | 9.97012i | 0.161139 | − | 0.326758i | ||||
\(932\) | 16.1741 | + | 25.5816i | 0.529801 | + | 0.837952i | ||||
\(933\) | −26.9340 | + | 12.9749i | −0.881778 | + | 0.424779i | ||||
\(934\) | −36.1768 | − | 19.9281i | −1.18374 | − | 0.652067i | ||||
\(935\) | −85.8788 | + | 35.5722i | −2.80854 | + | 1.16333i | ||||
\(936\) | 26.8039 | − | 1.12252i | 0.876112 | − | 0.0366907i | ||||
\(937\) | −31.2441 | − | 12.9417i | −1.02070 | − | 0.422788i | −0.191352 | − | 0.981521i | \(-0.561287\pi\) |
−0.829347 | + | 0.558734i | \(0.811287\pi\) | |||||||
\(938\) | 2.20800 | − | 1.76589i | 0.0720938 | − | 0.0576583i | ||||
\(939\) | −26.3231 | + | 4.98403i | −0.859021 | + | 0.162648i | ||||
\(940\) | −1.97614 | − | 5.13372i | −0.0644546 | − | 0.167443i | ||||
\(941\) | 8.13624 | − | 2.76188i | 0.265234 | − | 0.0900347i | −0.185655 | − | 0.982615i | \(-0.559441\pi\) |
0.450888 | + | 0.892580i | \(0.351107\pi\) | |||||||
\(942\) | −28.2275 | − | 13.5406i | −0.919701 | − | 0.441176i | ||||
\(943\) | −9.02974 | + | 2.41951i | −0.294049 | + | 0.0787902i | ||||
\(944\) | −16.6820 | + | 29.9186i | −0.542954 | + | 0.973766i | ||||
\(945\) | 69.0442 | + | 1.91108i | 2.24601 | + | 0.0621675i | ||||
\(946\) | −31.1572 | + | 21.7370i | −1.01301 | + | 0.706730i | ||||
\(947\) | −8.53387 | + | 9.73101i | −0.277313 | + | 0.316215i | −0.873684 | − | 0.486494i | \(-0.838276\pi\) |
0.596371 | + | 0.802709i | \(0.296609\pi\) | |||||||
\(948\) | 0.805807 | − | 23.3663i | 0.0261714 | − | 0.758903i | ||||
\(949\) | −49.4245 | − | 3.23945i | −1.60439 | − | 0.105157i | ||||
\(950\) | −11.4088 | + | 15.5038i | −0.370152 | + | 0.503011i | ||||
\(951\) | 19.5033 | + | 48.3415i | 0.632436 | + | 1.56758i | ||||
\(952\) | −62.7320 | − | 17.1556i | −2.03316 | − | 0.556015i | ||||
\(953\) | 6.64348 | + | 16.0388i | 0.215203 | + | 0.519547i | 0.994208 | − | 0.107471i | \(-0.0342752\pi\) |
−0.779005 | + | 0.627018i | \(0.784275\pi\) | |||||||
\(954\) | −45.0118 | − | 11.9812i | −1.45731 | − | 0.387904i | ||||
\(955\) | 17.5778 | − | 3.49645i | 0.568806 | − | 0.113142i | ||||
\(956\) | −16.2348 | + | 13.5279i | −0.525069 | + | 0.437524i | ||||
\(957\) | 25.3626 | + | 22.6596i | 0.819855 | + | 0.732481i | ||||
\(958\) | 5.77910 | − | 5.27736i | 0.186714 | − | 0.170504i | ||||
\(959\) | −41.4352 | − | 71.7679i | −1.33801 | − | 2.31751i | ||||
\(960\) | 36.0531 | − | 34.6724i | 1.16361 | − | 1.11905i | ||||
\(961\) | −3.39051 | + | 5.87253i | −0.109371 | + | 0.189436i | ||||
\(962\) | −6.18689 | − | 28.1356i | −0.199473 | − | 0.907130i | ||||
\(963\) | 38.5683 | − | 1.81412i | 1.24285 | − | 0.0584591i | ||||
\(964\) | −11.5870 | + | 31.4984i | −0.373193 | + | 1.01449i | ||||
\(965\) | −0.559844 | + | 1.64925i | −0.0180220 | + | 0.0530911i | ||||
\(966\) | 40.1331 | − | 0.436538i | 1.29126 | − | 0.0140454i | ||||
\(967\) | −0.0134040 | + | 0.0174685i | −0.000431044 | + | 0.000561748i | −0.793569 | − | 0.608481i | \(-0.791779\pi\) |
0.793138 | + | 0.609042i | \(0.208446\pi\) | |||||||
\(968\) | −0.0874271 | + | 16.9849i | −0.00281001 | + | 0.545915i | ||||
\(969\) | −11.2922 | + | 14.4386i | −0.362758 | + | 0.463834i | ||||
\(970\) | 33.1959 | + | 3.69319i | 1.06586 | + | 0.118581i | ||||
\(971\) | 2.78573 | − | 4.16913i | 0.0893982 | − | 0.133794i | −0.784075 | − | 0.620666i | \(-0.786862\pi\) |
0.873473 | + | 0.486872i | \(0.161862\pi\) | |||||||
\(972\) | −17.4741 | + | 25.8197i | −0.560481 | + | 0.828167i | ||||
\(973\) | 56.6611 | + | 11.2706i | 1.81647 | + | 0.361319i | ||||
\(974\) | −0.0372383 | − | 0.434215i | −0.00119319 | − | 0.0139131i | ||||
\(975\) | −38.2891 | + | 21.6378i | −1.22623 | + | 0.692964i | ||||
\(976\) | 17.6793 | − | 7.63468i | 0.565900 | − | 0.244380i | ||||
\(977\) | −5.21919 | + | 19.4783i | −0.166977 | + | 0.623165i | 0.830803 | + | 0.556566i | \(0.187881\pi\) |
−0.997780 | + | 0.0665989i | \(0.978785\pi\) | |||||||
\(978\) | −3.38401 | + | 2.31476i | −0.108209 | + | 0.0740177i | ||||
\(979\) | −17.8631 | − | 15.6655i | −0.570908 | − | 0.500673i | ||||
\(980\) | 7.36461 | − | 46.7804i | 0.235254 | − | 1.49434i | ||||
\(981\) | −25.9807 | − | 55.2292i | −0.829499 | − | 1.76333i | ||||
\(982\) | −34.8644 | − | 13.6269i | −1.11257 | − | 0.434853i | ||||
\(983\) | −20.8340 | + | 15.9865i | −0.664503 | + | 0.509891i | −0.885056 | − | 0.465484i | \(-0.845880\pi\) |
0.220553 | + | 0.975375i | \(0.429214\pi\) | |||||||
\(984\) | −9.16432 | − | 4.68425i | −0.292148 | − | 0.149329i | ||||
\(985\) | 10.5377 | + | 8.08590i | 0.335760 | + | 0.257638i | ||||
\(986\) | −35.9863 | + | 21.7526i | −1.14604 | + | 0.692745i | ||||
\(987\) | 4.37799 | − | 2.10901i | 0.139353 | − | 0.0671305i | ||||
\(988\) | −9.48865 | − | 4.98094i | −0.301874 | − | 0.158465i | ||||
\(989\) | 16.1043 | + | 24.1018i | 0.512087 | + | 0.766392i | ||||
\(990\) | 63.0283 | + | 4.02648i | 2.00317 | + | 0.127970i | ||||
\(991\) | 32.5529i | 1.03408i | 0.855962 | + | 0.517039i | \(0.172966\pi\) | ||||
−0.855962 | + | 0.517039i | \(0.827034\pi\) | |||||||
\(992\) | 23.6066 | − | 14.7559i | 0.749510 | − | 0.468500i | ||||
\(993\) | −25.2383 | − | 25.7083i | −0.800914 | − | 0.815827i | ||||
\(994\) | −14.7311 | − | 0.668498i | −0.467242 | − | 0.0212035i | ||||
\(995\) | −36.0481 | + | 73.0982i | −1.14280 | + | 2.31737i | ||||
\(996\) | 20.5369 | + | 33.1550i | 0.650735 | + | 1.05056i | ||||
\(997\) | 12.4484 | + | 4.22566i | 0.394245 | + | 0.133828i | 0.511520 | − | 0.859271i | \(-0.329083\pi\) |
−0.117275 | + | 0.993099i | \(0.537416\pi\) | |||||||
\(998\) | 39.4963 | − | 0.794016i | 1.25023 | − | 0.0251341i | ||||
\(999\) | 30.5638 | + | 13.6626i | 0.966995 | + | 0.432264i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 576.2.bm.a.205.39 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.24 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.24 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.39 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.24 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.24 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.39 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.39 | yes | 1504 | 576.517 | even | 48 | inner |