Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,3,Mod(43,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.43");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.r (of order \(18\), degree \(6\), 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: | \(5.88557371018\) |
Analytic rank: | \(0\) |
Dimension: | \(408\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 43.2 | ||
Character | \(\chi\) | \(=\) | 216.43 |
Dual form | 216.3.r.b.211.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.99900 | + | 0.0631437i | −0.999501 | + | 0.0315719i | ||||
\(3\) | 2.99997 | + | 0.0137424i | 0.999990 | + | 0.00458079i | ||||
\(4\) | 3.99203 | − | 0.252449i | 0.998006 | − | 0.0631122i | ||||
\(5\) | 2.50897 | − | 6.89334i | 0.501794 | − | 1.37867i | −0.387727 | − | 0.921774i | \(-0.626740\pi\) |
0.889521 | − | 0.456894i | \(-0.151038\pi\) | |||||||
\(6\) | −5.99781 | + | 0.161958i | −0.999636 | + | 0.0269930i | ||||
\(7\) | 12.4678 | + | 2.19840i | 1.78111 | + | 0.314058i | 0.964687 | − | 0.263398i | \(-0.0848433\pi\) |
0.816422 | + | 0.577456i | \(0.195954\pi\) | |||||||
\(8\) | −7.96413 | + | 0.756718i | −0.995516 | + | 0.0945897i | ||||
\(9\) | 8.99962 | + | 0.0824533i | 0.999958 | + | 0.00916148i | ||||
\(10\) | −4.58017 | + | 13.9382i | −0.458017 | + | 1.39382i | ||||
\(11\) | −6.03825 | + | 2.19774i | −0.548932 | + | 0.199795i | −0.601572 | − | 0.798819i | \(-0.705459\pi\) |
0.0526398 | + | 0.998614i | \(0.483236\pi\) | |||||||
\(12\) | 11.9794 | − | 0.702479i | 0.998285 | − | 0.0585399i | ||||
\(13\) | −11.7133 | − | 13.9594i | −0.901027 | − | 1.07380i | −0.996921 | − | 0.0784103i | \(-0.975016\pi\) |
0.0958945 | − | 0.995392i | \(-0.469429\pi\) | |||||||
\(14\) | −25.0619 | − | 3.60735i | −1.79014 | − | 0.257668i | ||||
\(15\) | 7.62156 | − | 20.6453i | 0.508104 | − | 1.37635i | ||||
\(16\) | 15.8725 | − | 2.01557i | 0.992034 | − | 0.125973i | ||||
\(17\) | −2.36876 | − | 4.10281i | −0.139339 | − | 0.241342i | 0.787908 | − | 0.615793i | \(-0.211164\pi\) |
−0.927247 | + | 0.374451i | \(0.877831\pi\) | |||||||
\(18\) | −17.9955 | + | 0.403445i | −0.999749 | + | 0.0224136i | ||||
\(19\) | −18.1448 | + | 31.4277i | −0.954990 | + | 1.65409i | −0.220597 | + | 0.975365i | \(0.570801\pi\) |
−0.734392 | + | 0.678725i | \(0.762533\pi\) | |||||||
\(20\) | 8.27566 | − | 28.1518i | 0.413783 | − | 1.40759i | ||||
\(21\) | 37.3727 | + | 6.76648i | 1.77965 | + | 0.322213i | ||||
\(22\) | 11.9317 | − | 4.77458i | 0.542351 | − | 0.217026i | ||||
\(23\) | −2.90811 | + | 0.512778i | −0.126439 | + | 0.0222947i | −0.236510 | − | 0.971629i | \(-0.576004\pi\) |
0.110070 | + | 0.993924i | \(0.464892\pi\) | |||||||
\(24\) | −23.9025 | + | 2.16068i | −0.995939 | + | 0.0900285i | ||||
\(25\) | −22.0721 | − | 18.5207i | −0.882883 | − | 0.740827i | ||||
\(26\) | 24.2965 | + | 27.1653i | 0.934479 | + | 1.04482i | ||||
\(27\) | 26.9975 | + | 0.371033i | 0.999906 | + | 0.0137420i | ||||
\(28\) | 50.3266 | + | 5.62861i | 1.79738 | + | 0.201022i | ||||
\(29\) | −4.94275 | + | 5.89054i | −0.170440 | + | 0.203122i | −0.844502 | − | 0.535552i | \(-0.820103\pi\) |
0.674062 | + | 0.738674i | \(0.264548\pi\) | |||||||
\(30\) | −13.9319 | + | 41.7513i | −0.464397 | + | 1.39171i | ||||
\(31\) | 34.1835 | − | 6.02747i | 1.10269 | − | 0.194435i | 0.407463 | − | 0.913222i | \(-0.366413\pi\) |
0.695230 | + | 0.718787i | \(0.255302\pi\) | |||||||
\(32\) | −31.6020 | + | 5.03137i | −0.987562 | + | 0.157230i | ||||
\(33\) | −18.1448 | + | 6.51018i | −0.549842 | + | 0.197278i | ||||
\(34\) | 4.99422 | + | 8.05196i | 0.146889 | + | 0.236822i | ||||
\(35\) | 46.4356 | − | 80.4288i | 1.32673 | − | 2.29797i | ||||
\(36\) | 35.9475 | − | 1.94279i | 0.998543 | − | 0.0539664i | ||||
\(37\) | −0.348508 | + | 0.201211i | −0.00941913 | + | 0.00543814i | −0.504702 | − | 0.863294i | \(-0.668398\pi\) |
0.495283 | + | 0.868732i | \(0.335064\pi\) | |||||||
\(38\) | 34.2870 | − | 63.9698i | 0.902291 | − | 1.68342i | ||||
\(39\) | −34.9478 | − | 42.0388i | −0.896098 | − | 1.07792i | ||||
\(40\) | −14.7655 | + | 56.7980i | −0.369136 | + | 1.41995i | ||||
\(41\) | 27.1043 | − | 22.7432i | 0.661081 | − | 0.554713i | −0.249329 | − | 0.968419i | \(-0.580210\pi\) |
0.910411 | + | 0.413706i | \(0.135766\pi\) | |||||||
\(42\) | −75.1354 | − | 11.1664i | −1.78894 | − | 0.265866i | ||||
\(43\) | −20.8576 | + | 7.59156i | −0.485061 | + | 0.176548i | −0.572963 | − | 0.819581i | \(-0.694206\pi\) |
0.0879016 | + | 0.996129i | \(0.471984\pi\) | |||||||
\(44\) | −23.5500 | + | 10.2978i | −0.535228 | + | 0.234041i | ||||
\(45\) | 23.1482 | − | 61.8306i | 0.514404 | − | 1.37401i | ||||
\(46\) | 5.78094 | − | 1.20867i | 0.125673 | − | 0.0262755i | ||||
\(47\) | 6.69583 | + | 1.18066i | 0.142465 | + | 0.0251203i | 0.244426 | − | 0.969668i | \(-0.421401\pi\) |
−0.101961 | + | 0.994788i | \(0.532512\pi\) | |||||||
\(48\) | 47.6448 | − | 5.82851i | 0.992600 | − | 0.121427i | ||||
\(49\) | 104.567 | + | 38.0594i | 2.13403 | + | 0.776722i | ||||
\(50\) | 45.2916 | + | 35.6291i | 0.905832 | + | 0.712583i | ||||
\(51\) | −7.04982 | − | 12.3409i | −0.138232 | − | 0.241978i | ||||
\(52\) | −50.2840 | − | 52.7694i | −0.967000 | − | 1.01480i | ||||
\(53\) | 63.8699i | 1.20509i | 0.798084 | + | 0.602547i | \(0.205847\pi\) | ||||
−0.798084 | + | 0.602547i | \(0.794153\pi\) | |||||||
\(54\) | −53.9914 | + | 0.963023i | −0.999841 | + | 0.0178338i | ||||
\(55\) | 47.1378i | 0.857051i | ||||||||
\(56\) | −100.958 | − | 8.07380i | −1.80283 | − | 0.144175i | ||||
\(57\) | −54.8657 | + | 94.0328i | −0.962557 | + | 1.64970i | ||||
\(58\) | 9.50862 | − | 12.0873i | 0.163942 | − | 0.208402i | ||||
\(59\) | −31.3422 | − | 11.4076i | −0.531223 | − | 0.193349i | 0.0624611 | − | 0.998047i | \(-0.480105\pi\) |
−0.593685 | + | 0.804698i | \(0.702327\pi\) | |||||||
\(60\) | 25.2136 | − | 84.3407i | 0.420226 | − | 1.40568i | ||||
\(61\) | −63.7277 | − | 11.2369i | −1.04472 | − | 0.184212i | −0.375150 | − | 0.926964i | \(-0.622409\pi\) |
−0.669566 | + | 0.742752i | \(0.733520\pi\) | |||||||
\(62\) | −67.9523 | + | 14.2074i | −1.09601 | + | 0.229152i | ||||
\(63\) | 112.024 | + | 20.8128i | 1.77816 | + | 0.330362i | ||||
\(64\) | 62.8548 | − | 12.0532i | 0.982106 | − | 0.188331i | ||||
\(65\) | −125.615 | + | 45.7203i | −1.93255 | + | 0.703389i | ||||
\(66\) | 35.8604 | − | 14.1596i | 0.543339 | − | 0.214540i | ||||
\(67\) | 31.5504 | − | 26.4739i | 0.470902 | − | 0.395133i | −0.376222 | − | 0.926530i | \(-0.622777\pi\) |
0.847123 | + | 0.531396i | \(0.178332\pi\) | |||||||
\(68\) | −10.4919 | − | 15.7805i | −0.154293 | − | 0.232067i | ||||
\(69\) | −8.73128 | + | 1.49835i | −0.126540 | + | 0.0217153i | ||||
\(70\) | −87.7463 | + | 163.710i | −1.25352 | + | 2.33871i | ||||
\(71\) | −37.0287 | + | 21.3785i | −0.521531 | + | 0.301106i | −0.737561 | − | 0.675281i | \(-0.764022\pi\) |
0.216030 | + | 0.976387i | \(0.430689\pi\) | |||||||
\(72\) | −71.7366 | + | 6.15350i | −0.996341 | + | 0.0854653i | ||||
\(73\) | −42.8920 | + | 74.2912i | −0.587562 | + | 1.01769i | 0.406988 | + | 0.913433i | \(0.366579\pi\) |
−0.994551 | + | 0.104254i | \(0.966754\pi\) | |||||||
\(74\) | 0.683963 | − | 0.424228i | 0.00924274 | − | 0.00573280i | ||||
\(75\) | −65.9610 | − | 55.8647i | −0.879480 | − | 0.744863i | ||||
\(76\) | −64.5006 | + | 130.041i | −0.848692 | + | 1.71106i | ||||
\(77\) | −80.1151 | + | 14.1264i | −1.04046 | + | 0.183460i | ||||
\(78\) | 72.5153 | + | 81.8290i | 0.929684 | + | 1.04909i | ||||
\(79\) | 19.6431 | − | 23.4097i | 0.248647 | − | 0.296326i | −0.627256 | − | 0.778813i | \(-0.715822\pi\) |
0.875903 | + | 0.482487i | \(0.160267\pi\) | |||||||
\(80\) | 25.9297 | − | 114.472i | 0.324122 | − | 1.43090i | ||||
\(81\) | 80.9864 | + | 1.48410i | 0.999832 | + | 0.0183222i | ||||
\(82\) | −52.7455 | + | 47.1753i | −0.643238 | + | 0.575308i | ||||
\(83\) | 33.6350 | + | 28.2231i | 0.405241 | + | 0.340037i | 0.822515 | − | 0.568743i | \(-0.192570\pi\) |
−0.417274 | + | 0.908781i | \(0.637015\pi\) | |||||||
\(84\) | 150.901 | + | 17.5773i | 1.79644 | + | 0.209253i | ||||
\(85\) | −34.2252 | + | 6.03483i | −0.402650 | + | 0.0709980i | ||||
\(86\) | 41.2151 | − | 16.4926i | 0.479246 | − | 0.191774i | ||||
\(87\) | −14.9090 | + | 17.6035i | −0.171368 | + | 0.202339i | ||||
\(88\) | 46.4264 | − | 22.0724i | 0.527572 | − | 0.250822i | ||||
\(89\) | −41.0746 | + | 71.1432i | −0.461512 | + | 0.799362i | −0.999037 | − | 0.0438861i | \(-0.986026\pi\) |
0.537525 | + | 0.843248i | \(0.319359\pi\) | |||||||
\(90\) | −42.3690 | + | 125.061i | −0.470767 | + | 1.38957i | ||||
\(91\) | −115.351 | − | 199.793i | −1.26759 | − | 2.19553i | ||||
\(92\) | −11.4798 | + | 2.78117i | −0.124780 | + | 0.0302301i | ||||
\(93\) | 102.632 | − | 17.6125i | 1.10357 | − | 0.189381i | ||||
\(94\) | −13.4595 | − | 1.93734i | −0.143187 | − | 0.0206100i | ||||
\(95\) | 171.117 | + | 203.929i | 1.80123 | + | 2.14663i | ||||
\(96\) | −94.8741 | + | 14.6597i | −0.988272 | + | 0.152705i | ||||
\(97\) | −6.28742 | + | 2.28843i | −0.0648187 | + | 0.0235921i | −0.374226 | − | 0.927338i | \(-0.622092\pi\) |
0.309407 | + | 0.950930i | \(0.399869\pi\) | |||||||
\(98\) | −211.433 | − | 69.4780i | −2.15748 | − | 0.708959i | ||||
\(99\) | −54.5232 | + | 19.2810i | −0.550740 | + | 0.194758i | ||||
\(100\) | −92.7878 | − | 68.3629i | −0.927878 | − | 0.683629i | ||||
\(101\) | −87.0631 | − | 15.3516i | −0.862011 | − | 0.151996i | −0.274871 | − | 0.961481i | \(-0.588635\pi\) |
−0.587140 | + | 0.809486i | \(0.699746\pi\) | |||||||
\(102\) | 14.8719 | + | 24.2243i | 0.145803 | + | 0.237493i | ||||
\(103\) | 30.6744 | − | 84.2771i | 0.297809 | − | 0.818224i | −0.697056 | − | 0.717017i | \(-0.745507\pi\) |
0.994865 | − | 0.101208i | \(-0.0322707\pi\) | |||||||
\(104\) | 103.850 | + | 102.311i | 0.998557 | + | 0.983759i | ||||
\(105\) | 140.411 | − | 240.646i | 1.33724 | − | 2.29186i | ||||
\(106\) | −4.03299 | − | 127.676i | −0.0380470 | − | 1.20449i | ||||
\(107\) | 93.3561 | 0.872487 | 0.436243 | − | 0.899829i | \(-0.356309\pi\) | ||||
0.436243 | + | 0.899829i | \(0.356309\pi\) | |||||||
\(108\) | 107.868 | − | 5.33430i | 0.998779 | − | 0.0493917i | ||||
\(109\) | − | 44.1765i | − | 0.405289i | −0.979252 | − | 0.202645i | \(-0.935046\pi\) | ||
0.979252 | − | 0.202645i | \(-0.0649536\pi\) | |||||||
\(110\) | −2.97646 | − | 94.2286i | −0.0270587 | − | 0.856624i | ||||
\(111\) | −1.04828 | + | 0.598837i | −0.00944394 | + | 0.00539493i | ||||
\(112\) | 202.326 | + | 9.76465i | 1.80648 | + | 0.0871843i | ||||
\(113\) | −8.10133 | − | 2.94864i | −0.0716932 | − | 0.0260942i | 0.305925 | − | 0.952056i | \(-0.401034\pi\) |
−0.377618 | + | 0.925962i | \(0.623257\pi\) | |||||||
\(114\) | 103.739 | − | 191.436i | 0.909993 | − | 1.67927i | ||||
\(115\) | −3.76160 | + | 21.3331i | −0.0327096 | + | 0.185505i | ||||
\(116\) | −18.2445 | + | 24.7630i | −0.157280 | + | 0.213474i | ||||
\(117\) | −104.265 | − | 126.595i | −0.891151 | − | 1.08201i | ||||
\(118\) | 63.3734 | + | 20.8248i | 0.537063 | + | 0.176481i | ||||
\(119\) | −20.5135 | − | 56.3604i | −0.172382 | − | 0.473617i | ||||
\(120\) | −45.0764 | + | 170.189i | −0.375637 | + | 1.41824i | ||||
\(121\) | −61.0610 | + | 51.2362i | −0.504636 | + | 0.423440i | ||||
\(122\) | 128.101 | + | 18.4386i | 1.05001 | + | 0.151136i | ||||
\(123\) | 81.6247 | − | 67.8565i | 0.663615 | − | 0.551679i | ||||
\(124\) | 134.940 | − | 32.6914i | 1.08822 | − | 0.263640i | ||||
\(125\) | −24.2240 | + | 13.9857i | −0.193792 | + | 0.111886i | ||||
\(126\) | −225.250 | − | 34.5313i | −1.78770 | − | 0.274058i | ||||
\(127\) | −163.558 | − | 94.4303i | −1.28786 | − | 0.743546i | −0.309587 | − | 0.950871i | \(-0.600191\pi\) |
−0.978272 | + | 0.207325i | \(0.933524\pi\) | |||||||
\(128\) | −124.886 | + | 28.0633i | −0.975670 | + | 0.219244i | ||||
\(129\) | −62.6766 | + | 22.4878i | −0.485865 | + | 0.174324i | ||||
\(130\) | 248.219 | − | 99.3268i | 1.90937 | − | 0.764052i | ||||
\(131\) | 42.7425 | + | 242.405i | 0.326278 | + | 1.85042i | 0.500535 | + | 0.865716i | \(0.333137\pi\) |
−0.174257 | + | 0.984700i | \(0.555752\pi\) | |||||||
\(132\) | −70.7909 | + | 30.5695i | −0.536295 | + | 0.231587i | ||||
\(133\) | −295.316 | + | 351.944i | −2.22042 | + | 2.64619i | ||||
\(134\) | −61.3977 | + | 54.9137i | −0.458192 | + | 0.409804i | ||||
\(135\) | 70.2934 | − | 185.172i | 0.520692 | − | 1.37164i | ||||
\(136\) | 21.9698 | + | 30.8828i | 0.161543 | + | 0.227080i | ||||
\(137\) | 126.183 | + | 105.880i | 0.921041 | + | 0.772845i | 0.974187 | − | 0.225742i | \(-0.0724805\pi\) |
−0.0531462 | + | 0.998587i | \(0.516925\pi\) | |||||||
\(138\) | 17.3592 | − | 3.54654i | 0.125792 | − | 0.0256995i | ||||
\(139\) | 1.67046 | + | 9.47362i | 0.0120177 | + | 0.0681556i | 0.990227 | − | 0.139466i | \(-0.0445387\pi\) |
−0.978209 | + | 0.207622i | \(0.933428\pi\) | |||||||
\(140\) | 165.068 | − | 332.796i | 1.17906 | − | 2.37712i | ||||
\(141\) | 20.0711 | + | 3.63395i | 0.142348 | + | 0.0257727i | ||||
\(142\) | 72.6705 | − | 45.0738i | 0.511764 | − | 0.317421i | ||||
\(143\) | 101.407 | + | 58.5476i | 0.709143 | + | 0.409424i | ||||
\(144\) | 143.013 | − | 16.8306i | 0.993146 | − | 0.116879i | ||||
\(145\) | 28.2043 | + | 48.8512i | 0.194512 | + | 0.336905i | ||||
\(146\) | 81.0503 | − | 151.217i | 0.555139 | − | 1.03573i | ||||
\(147\) | 313.175 | + | 115.614i | 2.13045 | + | 0.786489i | ||||
\(148\) | −1.34046 | + | 0.891220i | −0.00905714 | + | 0.00602176i | ||||
\(149\) | −10.8035 | − | 12.8752i | −0.0725070 | − | 0.0864104i | 0.728572 | − | 0.684970i | \(-0.240185\pi\) |
−0.801079 | + | 0.598559i | \(0.795740\pi\) | |||||||
\(150\) | 135.384 | + | 107.509i | 0.902558 | + | 0.716725i | ||||
\(151\) | 1.14969 | + | 3.15876i | 0.00761386 | + | 0.0209189i | 0.943441 | − | 0.331540i | \(-0.107568\pi\) |
−0.935827 | + | 0.352458i | \(0.885346\pi\) | |||||||
\(152\) | 120.726 | − | 264.025i | 0.794248 | − | 1.73701i | ||||
\(153\) | −20.9797 | − | 37.1191i | −0.137122 | − | 0.242608i | ||||
\(154\) | 159.258 | − | 33.2976i | 1.03414 | − | 0.216218i | ||||
\(155\) | 44.2160 | − | 250.761i | 0.285264 | − | 1.61781i | ||||
\(156\) | −150.125 | − | 158.997i | −0.962342 | − | 1.01921i | ||||
\(157\) | 51.4148 | − | 141.261i | 0.327483 | − | 0.899751i | −0.661264 | − | 0.750153i | \(-0.729980\pi\) |
0.988747 | − | 0.149598i | \(-0.0477980\pi\) | |||||||
\(158\) | −37.7884 | + | 48.0364i | −0.239167 | + | 0.304028i | ||||
\(159\) | −0.877724 | + | 191.608i | −0.00552027 | + | 1.20508i | ||||
\(160\) | −44.6055 | + | 230.467i | −0.278784 | + | 1.44042i | ||||
\(161\) | −37.3849 | −0.232204 | ||||||||
\(162\) | −161.986 | + | 2.14707i | −0.999912 | + | 0.0132535i | ||||
\(163\) | 156.899 | 0.962568 | 0.481284 | − | 0.876565i | \(-0.340171\pi\) | ||||
0.481284 | + | 0.876565i | \(0.340171\pi\) | |||||||
\(164\) | 102.460 | − | 97.6340i | 0.624754 | − | 0.595330i | ||||
\(165\) | −0.647785 | + | 141.412i | −0.00392597 | + | 0.857042i | ||||
\(166\) | −69.0185 | − | 54.2942i | −0.415774 | − | 0.327074i | ||||
\(167\) | −45.3665 | + | 124.643i | −0.271655 | + | 0.746367i | 0.726585 | + | 0.687076i | \(0.241106\pi\) |
−0.998241 | + | 0.0592909i | \(0.981116\pi\) | |||||||
\(168\) | −302.761 | − | 25.6085i | −1.80215 | − | 0.152432i | ||||
\(169\) | −28.3165 | + | 160.591i | −0.167553 | + | 0.950240i | ||||
\(170\) | 68.0352 | − | 14.2247i | 0.400207 | − | 0.0836750i | ||||
\(171\) | −165.888 | + | 281.341i | −0.970103 | + | 1.64527i | ||||
\(172\) | −81.3478 | + | 35.5712i | −0.472952 | + | 0.206809i | ||||
\(173\) | −45.6961 | − | 125.549i | −0.264140 | − | 0.725717i | −0.998878 | − | 0.0473664i | \(-0.984917\pi\) |
0.734738 | − | 0.678351i | \(-0.237305\pi\) | |||||||
\(174\) | 28.6917 | − | 36.1309i | 0.164895 | − | 0.207649i | ||||
\(175\) | −234.473 | − | 279.435i | −1.33985 | − | 1.59677i | ||||
\(176\) | −91.4127 | + | 47.0543i | −0.519390 | + | 0.267354i | ||||
\(177\) | −93.8688 | − | 34.6532i | −0.530332 | − | 0.195781i | ||||
\(178\) | 77.6159 | − | 144.809i | 0.436044 | − | 0.813534i | ||||
\(179\) | −129.910 | − | 225.010i | −0.725753 | − | 1.25704i | −0.958663 | − | 0.284543i | \(-0.908158\pi\) |
0.232910 | − | 0.972498i | \(-0.425175\pi\) | |||||||
\(180\) | 76.7990 | − | 252.673i | 0.426661 | − | 1.40374i | ||||
\(181\) | 144.162 | + | 83.2321i | 0.796476 | + | 0.459846i | 0.842238 | − | 0.539107i | \(-0.181238\pi\) |
−0.0457612 | + | 0.998952i | \(0.514571\pi\) | |||||||
\(182\) | 243.202 | + | 392.104i | 1.33628 | + | 2.15442i | ||||
\(183\) | −191.027 | − | 34.5862i | −1.04386 | − | 0.188995i | ||||
\(184\) | 22.7725 | − | 6.28444i | 0.123764 | − | 0.0341546i | ||||
\(185\) | 0.512620 | + | 2.90721i | 0.00277092 | + | 0.0157147i | ||||
\(186\) | −204.050 | + | 41.6880i | −1.09704 | + | 0.224129i | ||||
\(187\) | 23.3201 | + | 19.5679i | 0.124706 | + | 0.104641i | ||||
\(188\) | 27.0280 | + | 3.02285i | 0.143766 | + | 0.0160790i | ||||
\(189\) | 335.782 | + | 63.9772i | 1.77663 | + | 0.338504i | ||||
\(190\) | −354.940 | − | 396.851i | −1.86811 | − | 2.08869i | ||||
\(191\) | −155.706 | + | 185.564i | −0.815216 | + | 0.971537i | −0.999937 | − | 0.0112541i | \(-0.996418\pi\) |
0.184720 | + | 0.982791i | \(0.440862\pi\) | |||||||
\(192\) | 188.728 | − | 35.2954i | 0.982958 | − | 0.183830i | ||||
\(193\) | −16.3112 | − | 92.5054i | −0.0845140 | − | 0.479303i | −0.997460 | − | 0.0712232i | \(-0.977310\pi\) |
0.912946 | − | 0.408079i | \(-0.133801\pi\) | |||||||
\(194\) | 12.4241 | − | 4.97160i | 0.0640416 | − | 0.0256268i | ||||
\(195\) | −377.471 | + | 135.433i | −1.93575 | + | 0.694529i | ||||
\(196\) | 427.043 | + | 125.536i | 2.17879 | + | 0.640490i | ||||
\(197\) | 187.076 | + | 108.009i | 0.949626 | + | 0.548267i | 0.892965 | − | 0.450127i | \(-0.148621\pi\) |
0.0566613 | + | 0.998393i | \(0.481954\pi\) | |||||||
\(198\) | 107.775 | − | 41.9856i | 0.544316 | − | 0.212048i | ||||
\(199\) | −181.332 | + | 104.692i | −0.911218 | + | 0.526092i | −0.880823 | − | 0.473446i | \(-0.843010\pi\) |
−0.0303951 | + | 0.999538i | \(0.509677\pi\) | |||||||
\(200\) | 189.800 | + | 130.799i | 0.948999 | + | 0.653993i | ||||
\(201\) | 95.0140 | − | 78.9874i | 0.472707 | − | 0.392972i | ||||
\(202\) | 175.009 | + | 25.1903i | 0.866380 | + | 0.124705i | ||||
\(203\) | −74.5748 | + | 62.5757i | −0.367364 | + | 0.308255i | ||||
\(204\) | −31.2585 | − | 47.4853i | −0.153228 | − | 0.232771i | ||||
\(205\) | −88.7729 | − | 243.901i | −0.433038 | − | 1.18976i | ||||
\(206\) | −55.9966 | + | 170.407i | −0.271828 | + | 0.827219i | ||||
\(207\) | −26.2141 | + | 4.37502i | −0.126638 | + | 0.0211354i | ||||
\(208\) | −214.057 | − | 197.962i | −1.02912 | − | 0.951743i | ||||
\(209\) | 40.4928 | − | 229.646i | 0.193746 | − | 1.09879i | ||||
\(210\) | −265.486 | + | 489.918i | −1.26422 | + | 2.33294i | ||||
\(211\) | −321.220 | − | 116.915i | −1.52237 | − | 0.554097i | −0.560631 | − | 0.828065i | \(-0.689442\pi\) |
−0.961739 | + | 0.273968i | \(0.911664\pi\) | |||||||
\(212\) | 16.1239 | + | 254.970i | 0.0760561 | + | 1.20269i | ||||
\(213\) | −111.379 | + | 63.6260i | −0.522904 | + | 0.298714i | ||||
\(214\) | −186.619 | + | 5.89485i | −0.872052 | + | 0.0275460i | ||||
\(215\) | 162.826i | 0.757329i | ||||||||
\(216\) | −215.292 | + | 17.4745i | −0.996722 | + | 0.0809004i | ||||
\(217\) | 439.443 | 2.02508 | ||||||||
\(218\) | 2.78947 | + | 88.3090i | 0.0127957 | + | 0.405087i | ||||
\(219\) | −129.696 | + | 222.282i | −0.592218 | + | 1.01499i | ||||
\(220\) | 11.8999 | + | 188.175i | 0.0540904 | + | 0.855342i | ||||
\(221\) | −29.5268 | + | 81.1242i | −0.133605 | + | 0.367078i | ||||
\(222\) | 2.05770 | − | 1.26327i | 0.00926890 | − | 0.00569041i | ||||
\(223\) | −1.97895 | − | 0.348942i | −0.00887420 | − | 0.00156476i | 0.169209 | − | 0.985580i | \(-0.445879\pi\) |
−0.178084 | + | 0.984015i | \(0.556990\pi\) | |||||||
\(224\) | −405.067 | − | 6.74394i | −1.80834 | − | 0.0301069i | ||||
\(225\) | −197.113 | − | 168.499i | −0.876059 | − | 0.748884i | ||||
\(226\) | 16.3808 | + | 5.38280i | 0.0724813 | + | 0.0238177i | ||||
\(227\) | 368.468 | − | 134.111i | 1.62321 | − | 0.590798i | 0.639216 | − | 0.769027i | \(-0.279259\pi\) |
0.983989 | + | 0.178229i | \(0.0570366\pi\) | |||||||
\(228\) | −195.287 | + | 389.232i | −0.856521 | + | 1.70716i | ||||
\(229\) | 78.3299 | + | 93.3499i | 0.342052 | + | 0.407642i | 0.909458 | − | 0.415797i | \(-0.136497\pi\) |
−0.567406 | + | 0.823438i | \(0.692053\pi\) | |||||||
\(230\) | 6.17240 | − | 42.8825i | 0.0268365 | − | 0.186446i | ||||
\(231\) | −240.537 | + | 41.2779i | −1.04128 | + | 0.178692i | ||||
\(232\) | 34.9072 | − | 50.6533i | 0.150462 | − | 0.218333i | ||||
\(233\) | −61.5892 | − | 106.676i | −0.264331 | − | 0.457835i | 0.703057 | − | 0.711134i | \(-0.251818\pi\) |
−0.967388 | + | 0.253298i | \(0.918485\pi\) | |||||||
\(234\) | 216.419 | + | 246.481i | 0.924868 | + | 1.05334i | ||||
\(235\) | 24.9383 | − | 43.1944i | 0.106120 | − | 0.183806i | ||||
\(236\) | −127.999 | − | 37.6272i | −0.542367 | − | 0.159437i | ||||
\(237\) | 59.2503 | − | 69.9585i | 0.250001 | − | 0.295183i | ||||
\(238\) | 44.5654 | + | 111.369i | 0.187249 | + | 0.467938i | ||||
\(239\) | −61.3799 | + | 10.8229i | −0.256820 | + | 0.0452842i | −0.300575 | − | 0.953758i | \(-0.597179\pi\) |
0.0437559 | + | 0.999042i | \(0.486068\pi\) | |||||||
\(240\) | 79.3615 | − | 343.055i | 0.330673 | − | 1.42940i | ||||
\(241\) | −201.250 | − | 168.869i | −0.835062 | − | 0.700700i | 0.121385 | − | 0.992606i | \(-0.461266\pi\) |
−0.956447 | + | 0.291905i | \(0.905711\pi\) | |||||||
\(242\) | 118.826 | − | 106.277i | 0.491016 | − | 0.439161i | ||||
\(243\) | 242.936 | + | 5.56519i | 0.999738 | + | 0.0229020i | ||||
\(244\) | −257.239 | − | 28.7701i | −1.05426 | − | 0.117910i | ||||
\(245\) | 524.712 | − | 625.328i | 2.14168 | − | 2.55236i | ||||
\(246\) | −158.883 | + | 140.799i | −0.645867 | + | 0.572356i | ||||
\(247\) | 651.249 | − | 114.833i | 2.63664 | − | 0.464910i | ||||
\(248\) | −267.681 | + | 73.8708i | −1.07936 | + | 0.297866i | ||||
\(249\) | 100.516 | + | 85.1306i | 0.403679 | + | 0.341890i | ||||
\(250\) | 47.5407 | − | 29.4871i | 0.190163 | − | 0.117948i | ||||
\(251\) | −166.640 | + | 288.629i | −0.663905 | + | 1.14992i | 0.315676 | + | 0.948867i | \(0.397769\pi\) |
−0.979581 | + | 0.201050i | \(0.935565\pi\) | |||||||
\(252\) | 452.457 | + | 54.8049i | 1.79546 | + | 0.217480i | ||||
\(253\) | 16.4329 | − | 9.48756i | 0.0649523 | − | 0.0375002i | ||||
\(254\) | 332.916 | + | 178.439i | 1.31069 | + | 0.702515i | ||||
\(255\) | −102.758 | + | 17.6340i | −0.402971 | + | 0.0691528i | ||||
\(256\) | 247.875 | − | 63.9843i | 0.968262 | − | 0.249939i | ||||
\(257\) | −108.348 | + | 90.9148i | −0.421588 | + | 0.353754i | −0.828767 | − | 0.559594i | \(-0.810957\pi\) |
0.407179 | + | 0.913348i | \(0.366513\pi\) | |||||||
\(258\) | 123.871 | − | 48.9108i | 0.480119 | − | 0.189577i | ||||
\(259\) | −4.78746 | + | 1.74249i | −0.0184844 | + | 0.00672777i | ||||
\(260\) | −489.918 | + | 214.228i | −1.88430 | + | 0.823954i | ||||
\(261\) | −44.9686 | + | 52.6051i | −0.172293 | + | 0.201552i | ||||
\(262\) | −100.749 | − | 481.869i | −0.384537 | − | 1.83919i | ||||
\(263\) | −62.1356 | − | 10.9562i | −0.236257 | − | 0.0416585i | 0.0542659 | − | 0.998527i | \(-0.482718\pi\) |
−0.290523 | + | 0.956868i | \(0.593829\pi\) | |||||||
\(264\) | 139.581 | − | 65.5784i | 0.528716 | − | 0.248403i | ||||
\(265\) | 440.277 | + | 160.248i | 1.66142 | + | 0.604708i | ||||
\(266\) | 568.114 | − | 722.184i | 2.13577 | − | 2.71498i | ||||
\(267\) | −124.200 | + | 212.863i | −0.465169 | + | 0.797239i | ||||
\(268\) | 119.267 | − | 113.649i | 0.445025 | − | 0.424065i | ||||
\(269\) | − | 41.1402i | − | 0.152938i | −0.997072 | − | 0.0764688i | \(-0.975635\pi\) | ||
0.997072 | − | 0.0764688i | \(-0.0243646\pi\) | |||||||
\(270\) | −128.824 | + | 374.597i | −0.477127 | + | 1.38740i | ||||
\(271\) | − | 305.900i | − | 1.12878i | −0.825507 | − | 0.564392i | \(-0.809111\pi\) | ||
0.825507 | − | 0.564392i | \(-0.190889\pi\) | |||||||
\(272\) | −45.8677 | − | 60.3477i | −0.168631 | − | 0.221866i | ||||
\(273\) | −343.303 | − | 600.959i | −1.25752 | − | 2.20132i | ||||
\(274\) | −258.925 | − | 203.686i | −0.944982 | − | 0.743381i | ||||
\(275\) | 173.980 | + | 63.3237i | 0.632656 | + | 0.230268i | ||||
\(276\) | −34.4772 | + | 8.18566i | −0.124917 | + | 0.0296582i | ||||
\(277\) | −10.3755 | − | 1.82948i | −0.0374568 | − | 0.00660464i | 0.154888 | − | 0.987932i | \(-0.450498\pi\) |
−0.192345 | + | 0.981327i | \(0.561609\pi\) | |||||||
\(278\) | −3.93744 | − | 18.8323i | −0.0141635 | − | 0.0677422i | ||||
\(279\) | 308.136 | − | 51.4264i | 1.10443 | − | 0.184324i | ||||
\(280\) | −308.957 | + | 675.684i | −1.10342 | + | 2.41316i | ||||
\(281\) | −274.272 | + | 99.8268i | −0.976057 | + | 0.355256i | −0.780306 | − | 0.625398i | \(-0.784937\pi\) |
−0.195751 | + | 0.980654i | \(0.562714\pi\) | |||||||
\(282\) | −40.3516 | − | 5.99691i | −0.143091 | − | 0.0212656i | ||||
\(283\) | −248.937 | + | 208.883i | −0.879636 | + | 0.738103i | −0.966104 | − | 0.258152i | \(-0.916886\pi\) |
0.0864679 | + | 0.996255i | \(0.472442\pi\) | |||||||
\(284\) | −142.422 | + | 94.6914i | −0.501487 | + | 0.333420i | ||||
\(285\) | 510.543 | + | 614.133i | 1.79138 | + | 2.15485i | ||||
\(286\) | −206.411 | − | 110.634i | −0.721715 | − | 0.386831i | ||||
\(287\) | 387.929 | − | 223.971i | 1.35167 | − | 0.780387i | ||||
\(288\) | −284.821 | + | 42.6748i | −0.988961 | + | 0.148176i | ||||
\(289\) | 133.278 | − | 230.844i | 0.461169 | − | 0.798769i | ||||
\(290\) | −59.4650 | − | 95.8728i | −0.205052 | − | 0.330596i | ||||
\(291\) | −18.8935 | + | 6.77882i | −0.0649261 | + | 0.0232949i | ||||
\(292\) | −152.471 | + | 307.400i | −0.522162 | + | 1.05274i | ||||
\(293\) | 145.987 | − | 25.7415i | 0.498249 | − | 0.0878548i | 0.0811245 | − | 0.996704i | \(-0.474149\pi\) |
0.417125 | + | 0.908849i | \(0.363038\pi\) | |||||||
\(294\) | −633.339 | − | 211.337i | −2.15421 | − | 0.718835i | ||||
\(295\) | −157.273 | + | 187.431i | −0.533129 | + | 0.635359i | ||||
\(296\) | 2.62330 | − | 1.86619i | 0.00886250 | − | 0.00630471i | ||||
\(297\) | −163.833 | + | 57.0931i | −0.551626 | + | 0.192233i | ||||
\(298\) | 22.4093 | + | 25.0553i | 0.0751990 | + | 0.0840782i | ||||
\(299\) | 41.2218 | + | 34.5892i | 0.137865 | + | 0.115683i | ||||
\(300\) | −277.421 | − | 206.362i | −0.924737 | − | 0.687872i | ||||
\(301\) | −276.737 | + | 48.7963i | −0.919394 | + | 0.162114i | ||||
\(302\) | −2.49770 | − | 6.24177i | −0.00827051 | − | 0.0206681i | ||||
\(303\) | −260.975 | − | 47.2507i | −0.861305 | − | 0.155943i | ||||
\(304\) | −224.659 | + | 535.410i | −0.739011 | + | 1.76122i | ||||
\(305\) | −237.351 | + | 411.104i | −0.778199 | + | 1.34788i | ||||
\(306\) | 44.2822 | + | 72.8764i | 0.144713 | + | 0.238158i | ||||
\(307\) | 183.607 | + | 318.016i | 0.598068 | + | 1.03588i | 0.993106 | + | 0.117219i | \(0.0373979\pi\) |
−0.395039 | + | 0.918665i | \(0.629269\pi\) | |||||||
\(308\) | −316.255 | + | 76.6181i | −1.02680 | + | 0.248760i | ||||
\(309\) | 93.1803 | − | 252.407i | 0.301554 | − | 0.816852i | ||||
\(310\) | −72.5538 | + | 504.064i | −0.234045 | + | 1.62601i | ||||
\(311\) | −157.863 | − | 188.134i | −0.507599 | − | 0.604933i | 0.450003 | − | 0.893027i | \(-0.351423\pi\) |
−0.957602 | + | 0.288094i | \(0.906978\pi\) | |||||||
\(312\) | 310.141 | + | 308.357i | 0.994041 | + | 0.988323i | ||||
\(313\) | 159.199 | − | 57.9439i | 0.508624 | − | 0.185124i | −0.0749446 | − | 0.997188i | \(-0.523878\pi\) |
0.583569 | + | 0.812064i | \(0.301656\pi\) | |||||||
\(314\) | −93.8585 | + | 285.628i | −0.298913 | + | 0.909642i | ||||
\(315\) | 424.534 | − | 720.000i | 1.34773 | − | 2.28571i | ||||
\(316\) | 72.5059 | − | 98.4111i | 0.229449 | − | 0.311427i | ||||
\(317\) | −523.307 | − | 92.2731i | −1.65081 | − | 0.291082i | −0.730687 | − | 0.682712i | \(-0.760800\pi\) |
−0.920123 | + | 0.391630i | \(0.871911\pi\) | |||||||
\(318\) | −10.3443 | − | 383.080i | −0.0325291 | − | 1.20465i | ||||
\(319\) | 16.8997 | − | 46.4315i | 0.0529770 | − | 0.145553i | ||||
\(320\) | 74.6139 | − | 463.520i | 0.233169 | − | 1.44850i | ||||
\(321\) | 280.065 | + | 1.28293i | 0.872477 | + | 0.00399667i | ||||
\(322\) | 74.7325 | − | 2.36062i | 0.232089 | − | 0.00733112i | ||||
\(323\) | 171.923 | 0.532268 | ||||||||
\(324\) | 323.674 | − | 14.5204i | 0.998995 | − | 0.0448160i | ||||
\(325\) | 525.052i | 1.61555i | ||||||||
\(326\) | −313.641 | + | 9.90716i | −0.962088 | + | 0.0303901i | ||||
\(327\) | 0.607089 | − | 132.528i | 0.00185654 | − | 0.405285i | ||||
\(328\) | −198.652 | + | 201.640i | −0.605647 | + | 0.614757i | ||||
\(329\) | 80.8865 | + | 29.4403i | 0.245856 | + | 0.0894842i | ||||
\(330\) | −7.63435 | − | 282.724i | −0.0231344 | − | 0.856739i | ||||
\(331\) | 66.1797 | − | 375.324i | 0.199939 | − | 1.13391i | −0.705269 | − | 0.708939i | \(-0.749174\pi\) |
0.905208 | − | 0.424969i | \(-0.139715\pi\) | |||||||
\(332\) | 141.397 | + | 104.176i | 0.425893 | + | 0.313784i | ||||
\(333\) | −3.15303 | + | 1.78209i | −0.00946855 | + | 0.00535161i | ||||
\(334\) | 82.8172 | − | 252.027i | 0.247956 | − | 0.754572i | ||||
\(335\) | −103.335 | − | 283.910i | −0.308462 | − | 0.847492i | ||||
\(336\) | 606.838 | + | 32.0741i | 1.80606 | + | 0.0954585i | ||||
\(337\) | −4.74619 | + | 3.98253i | −0.0140836 | + | 0.0118176i | −0.649802 | − | 0.760103i | \(-0.725148\pi\) |
0.635719 | + | 0.771921i | \(0.280704\pi\) | |||||||
\(338\) | 46.4644 | − | 322.809i | 0.137469 | − | 0.955057i | ||||
\(339\) | −24.2632 | − | 8.95716i | −0.0715729 | − | 0.0264223i | ||||
\(340\) | −135.104 | + | 32.7313i | −0.397366 | + | 0.0962686i | ||||
\(341\) | −193.162 | + | 111.522i | −0.566457 | + | 0.327044i | ||||
\(342\) | 313.845 | − | 572.877i | 0.917675 | − | 1.67508i | ||||
\(343\) | 682.816 | + | 394.224i | 1.99072 | + | 1.14934i | ||||
\(344\) | 160.368 | − | 76.2435i | 0.466187 | − | 0.221638i | ||||
\(345\) | −11.5779 | + | 63.9470i | −0.0335590 | + | 0.185354i | ||||
\(346\) | 99.2743 | + | 248.088i | 0.286920 | + | 0.717016i | ||||
\(347\) | −32.4494 | − | 184.029i | −0.0935140 | − | 0.530344i | −0.995193 | − | 0.0979373i | \(-0.968776\pi\) |
0.901679 | − | 0.432407i | \(-0.142336\pi\) | |||||||
\(348\) | −55.0733 | + | 74.0374i | −0.158257 | + | 0.212751i | ||||
\(349\) | 93.7249 | − | 111.697i | 0.268553 | − | 0.320049i | −0.614867 | − | 0.788630i | \(-0.710790\pi\) |
0.883420 | + | 0.468582i | \(0.155235\pi\) | |||||||
\(350\) | 486.358 | + | 543.785i | 1.38959 | + | 1.55367i | ||||
\(351\) | −311.051 | − | 381.215i | −0.886185 | − | 1.08608i | ||||
\(352\) | 179.763 | − | 99.8338i | 0.510691 | − | 0.283619i | ||||
\(353\) | −35.1741 | − | 29.5146i | −0.0996433 | − | 0.0836107i | 0.591605 | − | 0.806228i | \(-0.298495\pi\) |
−0.691248 | + | 0.722617i | \(0.742939\pi\) | |||||||
\(354\) | 189.832 | + | 63.3447i | 0.536249 | + | 0.178940i | ||||
\(355\) | 54.4655 | + | 308.889i | 0.153424 | + | 0.870110i | ||||
\(356\) | −146.011 | + | 294.375i | −0.410142 | + | 0.826895i | ||||
\(357\) | −60.7653 | − | 169.361i | −0.170211 | − | 0.474401i | ||||
\(358\) | 273.898 | + | 441.593i | 0.765078 | + | 1.23350i | ||||
\(359\) | 479.535 | + | 276.860i | 1.33575 | + | 0.771198i | 0.986175 | − | 0.165709i | \(-0.0529914\pi\) |
0.349579 | + | 0.936907i | \(0.386325\pi\) | |||||||
\(360\) | −137.567 | + | 509.943i | −0.382130 | + | 1.41651i | ||||
\(361\) | −477.968 | − | 827.864i | −1.32401 | − | 2.29325i | ||||
\(362\) | −293.436 | − | 157.278i | −0.810597 | − | 0.434470i | ||||
\(363\) | −183.885 | + | 152.868i | −0.506570 | + | 0.421124i | ||||
\(364\) | −510.921 | − | 768.460i | −1.40363 | − | 2.11116i | ||||
\(365\) | 404.500 | + | 482.064i | 1.10822 | + | 1.32072i | ||||
\(366\) | 384.047 | + | 57.0757i | 1.04931 | + | 0.155945i | ||||
\(367\) | 9.00133 | + | 24.7309i | 0.0245268 | + | 0.0673868i | 0.951352 | − | 0.308107i | \(-0.0996954\pi\) |
−0.926825 | + | 0.375494i | \(0.877473\pi\) | |||||||
\(368\) | −45.1255 | + | 14.0006i | −0.122624 | + | 0.0380450i | ||||
\(369\) | 245.804 | − | 202.446i | 0.666136 | − | 0.548633i | ||||
\(370\) | −1.20830 | − | 5.77916i | −0.00326568 | − | 0.0156194i | ||||
\(371\) | −140.412 | + | 796.315i | −0.378469 | + | 2.14640i | ||||
\(372\) | 405.264 | − | 96.2188i | 1.08942 | − | 0.258653i | ||||
\(373\) | 189.413 | − | 520.408i | 0.507809 | − | 1.39519i | −0.375683 | − | 0.926748i | \(-0.622592\pi\) |
0.883492 | − | 0.468446i | \(-0.155186\pi\) | |||||||
\(374\) | −47.8525 | − | 37.6438i | −0.127948 | − | 0.100652i | ||||
\(375\) | −72.8634 | + | 41.6238i | −0.194302 | + | 0.110997i | ||||
\(376\) | −54.2199 | − | 4.33605i | −0.144202 | − | 0.0115320i | ||||
\(377\) | 140.125 | 0.371683 | ||||||||
\(378\) | −675.269 | − | 106.688i | −1.78643 | − | 0.282244i | ||||
\(379\) | −225.824 | −0.595843 | −0.297921 | − | 0.954590i | \(-0.596293\pi\) | ||||
−0.297921 | + | 0.954590i | \(0.596293\pi\) | |||||||
\(380\) | 734.586 | + | 770.893i | 1.93312 | + | 2.02867i | ||||
\(381\) | −489.371 | − | 285.536i | −1.28444 | − | 0.749437i | ||||
\(382\) | 299.540 | − | 380.774i | 0.784137 | − | 0.996791i | ||||
\(383\) | 88.7147 | − | 243.742i | 0.231631 | − | 0.636401i | −0.768362 | − | 0.640015i | \(-0.778928\pi\) |
0.999993 | + | 0.00361381i | \(0.00115031\pi\) | |||||||
\(384\) | −375.039 | + | 82.4727i | −0.976664 | + | 0.214773i | ||||
\(385\) | −103.628 | + | 587.703i | −0.269163 | + | 1.52650i | ||||
\(386\) | 38.4473 | + | 183.889i | 0.0996043 | + | 0.476396i | ||||
\(387\) | −188.337 | + | 66.6014i | −0.486658 | + | 0.172097i | ||||
\(388\) | −24.5218 | + | 10.7227i | −0.0632006 | + | 0.0276359i | ||||
\(389\) | −216.045 | − | 593.580i | −0.555387 | − | 1.52591i | −0.826255 | − | 0.563296i | \(-0.809533\pi\) |
0.270869 | − | 0.962616i | \(-0.412689\pi\) | |||||||
\(390\) | 746.013 | − | 294.566i | 1.91285 | − | 0.755298i | ||||
\(391\) | 8.99244 | + | 10.7168i | 0.0229986 | + | 0.0274086i | ||||
\(392\) | −861.587 | − | 223.982i | −2.19793 | − | 0.571382i | ||||
\(393\) | 124.895 | + | 727.793i | 0.317799 | + | 1.85189i | ||||
\(394\) | −380.786 | − | 204.097i | −0.966463 | − | 0.518012i | ||||
\(395\) | −112.087 | − | 194.141i | −0.283765 | − | 0.491495i | ||||
\(396\) | −212.791 | + | 90.7346i | −0.537350 | + | 0.229128i | ||||
\(397\) | 167.413 | + | 96.6558i | 0.421695 | + | 0.243466i | 0.695802 | − | 0.718234i | \(-0.255049\pi\) |
−0.274107 | + | 0.961699i | \(0.588382\pi\) | |||||||
\(398\) | 355.873 | − | 220.730i | 0.894154 | − | 0.554598i | ||||
\(399\) | −890.775 | + | 1051.76i | −2.23252 | + | 2.63599i | ||||
\(400\) | −387.669 | − | 249.482i | −0.969173 | − | 0.623706i | ||||
\(401\) | −75.0621 | − | 425.698i | −0.187187 | − | 1.06159i | −0.923113 | − | 0.384529i | \(-0.874364\pi\) |
0.735926 | − | 0.677062i | \(-0.236747\pi\) | |||||||
\(402\) | −184.946 | + | 163.896i | −0.460064 | + | 0.407700i | ||||
\(403\) | −484.543 | − | 406.580i | −1.20234 | − | 1.00888i | ||||
\(404\) | −351.433 | − | 39.3049i | −0.869885 | − | 0.0972893i | ||||
\(405\) | 213.423 | − | 554.543i | 0.526970 | − | 1.36924i | ||||
\(406\) | 145.124 | − | 129.798i | 0.357448 | − | 0.319699i | ||||
\(407\) | 1.66217 | − | 1.98089i | 0.00408395 | − | 0.00486706i | ||||
\(408\) | 65.4842 | + | 92.9495i | 0.160501 | + | 0.227817i | ||||
\(409\) | 46.4128 | + | 263.220i | 0.113479 | + | 0.643570i | 0.987492 | + | 0.157668i | \(0.0503976\pi\) |
−0.874013 | + | 0.485902i | \(0.838491\pi\) | |||||||
\(410\) | 192.858 | + | 481.954i | 0.470385 | + | 1.17550i | ||||
\(411\) | 377.089 | + | 319.370i | 0.917491 | + | 0.777056i | ||||
\(412\) | 101.177 | − | 344.180i | 0.245576 | − | 0.835389i | ||||
\(413\) | −365.688 | − | 211.130i | −0.885444 | − | 0.511211i | ||||
\(414\) | 52.1259 | − | 10.4009i | 0.125908 | − | 0.0251230i | ||||
\(415\) | 278.940 | − | 161.046i | 0.672146 | − | 0.388063i | ||||
\(416\) | 440.400 | + | 382.211i | 1.05865 | + | 0.918777i | ||||
\(417\) | 4.88112 | + | 28.4435i | 0.0117053 | + | 0.0682099i | ||||
\(418\) | −66.4445 | + | 461.620i | −0.158958 | + | 1.10435i | ||||
\(419\) | 331.194 | − | 277.905i | 0.790438 | − | 0.663257i | −0.155415 | − | 0.987849i | \(-0.549672\pi\) |
0.945854 | + | 0.324593i | \(0.105227\pi\) | |||||||
\(420\) | 499.772 | − | 996.110i | 1.18993 | − | 2.37169i | ||||
\(421\) | 110.173 | + | 302.699i | 0.261694 | + | 0.719000i | 0.999053 | + | 0.0434985i | \(0.0138504\pi\) |
−0.737359 | + | 0.675501i | \(0.763927\pi\) | |||||||
\(422\) | 649.502 | + | 213.430i | 1.53911 | + | 0.505757i | ||||
\(423\) | 60.1626 | + | 11.1776i | 0.142228 | + | 0.0264245i | ||||
\(424\) | −48.3315 | − | 508.669i | −0.113989 | − | 1.19969i | ||||
\(425\) | −23.7034 | + | 134.429i | −0.0557727 | + | 0.316302i | ||||
\(426\) | 218.629 | − | 134.221i | 0.513213 | − | 0.315074i | ||||
\(427\) | −769.839 | − | 280.198i | −1.80290 | − | 0.656202i | ||||
\(428\) | 372.680 | − | 23.5676i | 0.870747 | − | 0.0550646i | ||||
\(429\) | 303.414 | + | 177.035i | 0.707260 | + | 0.412668i | ||||
\(430\) | −10.2814 | − | 325.489i | −0.0239103 | − | 0.756952i | ||||
\(431\) | − | 632.959i | − | 1.46858i | −0.678835 | − | 0.734291i | \(-0.737515\pi\) | ||
0.678835 | − | 0.734291i | \(-0.262485\pi\) | |||||||
\(432\) | 429.266 | − | 48.5259i | 0.993671 | − | 0.112328i | ||||
\(433\) | −338.667 | −0.782140 | −0.391070 | − | 0.920361i | \(-0.627895\pi\) | ||||
−0.391070 | + | 0.920361i | \(0.627895\pi\) | |||||||
\(434\) | −878.447 | + | 27.7480i | −2.02407 | + | 0.0639356i | ||||
\(435\) | 83.9406 | + | 146.940i | 0.192967 | + | 0.337792i | ||||
\(436\) | −11.1523 | − | 176.354i | −0.0255787 | − | 0.404481i | ||||
\(437\) | 36.6516 | − | 100.699i | 0.0838709 | − | 0.230433i | ||||
\(438\) | 245.226 | − | 452.532i | 0.559878 | − | 1.03318i | ||||
\(439\) | −8.45084 | − | 1.49011i | −0.0192502 | − | 0.00339433i | 0.164015 | − | 0.986458i | \(-0.447556\pi\) |
−0.183265 | + | 0.983064i | \(0.558667\pi\) | |||||||
\(440\) | −35.6700 | − | 375.412i | −0.0810682 | − | 0.853208i | ||||
\(441\) | 937.928 | + | 351.142i | 2.12682 | + | 0.796240i | ||||
\(442\) | 53.9017 | − | 164.032i | 0.121949 | − | 0.371113i | ||||
\(443\) | 393.022 | − | 143.048i | 0.887182 | − | 0.322908i | 0.142078 | − | 0.989856i | \(-0.454622\pi\) |
0.745105 | + | 0.666948i | \(0.232400\pi\) | |||||||
\(444\) | −4.03357 | + | 2.65521i | −0.00908463 | + | 0.00598020i | ||||
\(445\) | 387.359 | + | 461.637i | 0.870471 | + | 1.03739i | ||||
\(446\) | 3.97795 | + | 0.572578i | 0.00891918 | + | 0.00128381i | ||||
\(447\) | −32.2333 | − | 38.7735i | −0.0721104 | − | 0.0867417i | ||||
\(448\) | 810.156 | − | 12.0963i | 1.80838 | − | 0.0270007i | ||||
\(449\) | −207.235 | − | 358.942i | −0.461548 | − | 0.799425i | 0.537490 | − | 0.843270i | \(-0.319372\pi\) |
−0.999038 | + | 0.0438452i | \(0.986039\pi\) | |||||||
\(450\) | 404.669 | + | 324.383i | 0.899265 | + | 0.720852i | ||||
\(451\) | −113.679 | + | 196.898i | −0.252060 | + | 0.436581i | ||||
\(452\) | −33.0851 | − | 9.72588i | −0.0731971 | − | 0.0215174i | ||||
\(453\) | 3.40563 | + | 9.49197i | 0.00751796 | + | 0.0209536i | ||||
\(454\) | −728.100 | + | 291.355i | −1.60374 | + | 0.641752i | ||||
\(455\) | −1666.66 | + | 293.876i | −3.66298 | + | 0.645882i | ||||
\(456\) | 365.802 | − | 790.407i | 0.802196 | − | 1.73335i | ||||
\(457\) | 623.979 | + | 523.580i | 1.36538 | + | 1.14569i | 0.974280 | + | 0.225342i | \(0.0723498\pi\) |
0.391100 | + | 0.920348i | \(0.372095\pi\) | |||||||
\(458\) | −162.476 | − | 181.661i | −0.354751 | − | 0.396639i | ||||
\(459\) | −62.4282 | − | 111.644i | −0.136009 | − | 0.243234i | ||||
\(460\) | −9.63089 | + | 86.1119i | −0.0209367 | + | 0.187200i | ||||
\(461\) | −198.401 | + | 236.446i | −0.430372 | + | 0.512897i | −0.937029 | − | 0.349250i | \(-0.886436\pi\) |
0.506658 | + | 0.862147i | \(0.330881\pi\) | |||||||
\(462\) | 478.227 | − | 97.7031i | 1.03512 | − | 0.211479i | ||||
\(463\) | −68.5040 | + | 12.0791i | −0.147957 | + | 0.0260888i | −0.247136 | − | 0.968981i | \(-0.579489\pi\) |
0.0991792 | + | 0.995070i | \(0.468378\pi\) | |||||||
\(464\) | −66.5812 | + | 103.460i | −0.143494 | + | 0.222975i | ||||
\(465\) | 136.093 | − | 751.668i | 0.292672 | − | 1.61649i | ||||
\(466\) | 129.853 | + | 209.356i | 0.278654 | + | 0.449262i | ||||
\(467\) | 211.335 | − | 366.044i | 0.452538 | − | 0.783819i | −0.546005 | − | 0.837782i | \(-0.683852\pi\) |
0.998543 | + | 0.0539629i | \(0.0171853\pi\) | |||||||
\(468\) | −448.186 | − | 479.050i | −0.957663 | − | 1.02361i | ||||
\(469\) | 451.563 | − | 260.710i | 0.962822 | − | 0.555885i | ||||
\(470\) | −47.1243 | + | 87.9205i | −0.100264 | + | 0.187065i | ||||
\(471\) | 156.184 | − | 423.072i | 0.331601 | − | 0.898242i | ||||
\(472\) | 258.246 | + | 67.1346i | 0.547130 | + | 0.142234i | ||||
\(473\) | 109.259 | − | 91.6795i | 0.230992 | − | 0.193826i | ||||
\(474\) | −114.024 | + | 143.588i | −0.240557 | + | 0.302929i | ||||
\(475\) | 982.555 | − | 357.621i | 2.06854 | − | 0.752886i | ||||
\(476\) | −96.1186 | − | 219.813i | −0.201930 | − | 0.461793i | ||||
\(477\) | −5.26629 | + | 574.805i | −0.0110404 | + | 1.20504i | ||||
\(478\) | 122.015 | − | 25.5108i | 0.255262 | − | 0.0533699i | ||||
\(479\) | 893.478 | + | 157.544i | 1.86530 | + | 0.328902i | 0.988412 | − | 0.151796i | \(-0.0485055\pi\) |
0.876886 | + | 0.480698i | \(0.159617\pi\) | |||||||
\(480\) | −136.982 | + | 690.780i | −0.285380 | + | 1.43912i | ||||
\(481\) | 6.89098 | + | 2.50811i | 0.0143264 | + | 0.00521437i | ||||
\(482\) | 412.962 | + | 324.862i | 0.856768 | + | 0.673987i | ||||
\(483\) | −112.153 | − | 0.513757i | −0.232202 | − | 0.00106368i | ||||
\(484\) | −230.822 | + | 219.951i | −0.476906 | + | 0.454444i | ||||
\(485\) | 49.0829i | 0.101202i | ||||||||
\(486\) | −485.982 | + | 4.21507i | −0.999962 | + | 0.00867298i | ||||
\(487\) | 582.425i | 1.19594i | 0.801517 | + | 0.597972i | \(0.204027\pi\) | ||||
−0.801517 | + | 0.597972i | \(0.795973\pi\) | |||||||
\(488\) | 516.039 | + | 41.2684i | 1.05746 | + | 0.0845664i | ||||
\(489\) | 470.691 | + | 2.15616i | 0.962558 | + | 0.00440932i | ||||
\(490\) | −1009.42 | + | 1283.16i | −2.06003 | + | 2.61870i | ||||
\(491\) | 73.7011 | + | 26.8250i | 0.150104 | + | 0.0546334i | 0.415980 | − | 0.909374i | \(-0.363439\pi\) |
−0.265876 | + | 0.964007i | \(0.585661\pi\) | |||||||
\(492\) | 308.718 | − | 291.491i | 0.627475 | − | 0.592461i | ||||
\(493\) | 35.8760 | + | 6.32590i | 0.0727707 | + | 0.0128314i | ||||
\(494\) | −1294.60 | + | 270.673i | −2.62064 | + | 0.547922i | ||||
\(495\) | −3.88667 | + | 424.222i | −0.00785185 | + | 0.857015i | ||||
\(496\) | 530.430 | − | 164.570i | 1.06942 | − | 0.331795i | ||||
\(497\) | −508.663 | + | 185.138i | −1.02347 | + | 0.372512i | ||||
\(498\) | −206.307 | − | 163.829i | −0.414272 | − | 0.328975i | ||||
\(499\) | 568.021 | − | 476.626i | 1.13832 | − | 0.955162i | 0.138936 | − | 0.990301i | \(-0.455632\pi\) |
0.999382 | + | 0.0351390i | \(0.0111874\pi\) | |||||||
\(500\) | −93.1721 | + | 61.9467i | −0.186344 | + | 0.123893i | ||||
\(501\) | −137.811 | + | 373.303i | −0.275072 | + | 0.745115i | ||||
\(502\) | 314.889 | − | 587.493i | 0.627269 | − | 1.17030i | ||||
\(503\) | 259.212 | − | 149.656i | 0.515332 | − | 0.297527i | −0.219690 | − | 0.975570i | \(-0.570505\pi\) |
0.735023 | + | 0.678042i | \(0.237171\pi\) | |||||||
\(504\) | −907.922 | − | 80.9855i | −1.80143 | − | 0.160685i | ||||
\(505\) | −324.262 | + | 561.638i | −0.642103 | + | 1.11216i | ||||
\(506\) | −32.2504 | + | 20.0033i | −0.0637360 | + | 0.0395322i | ||||
\(507\) | −87.1554 | + | 481.378i | −0.171904 | + | 0.949463i | ||||
\(508\) | −676.767 | − | 335.678i | −1.33222 | − | 0.660784i | ||||
\(509\) | −740.502 | + | 130.571i | −1.45482 | + | 0.256524i | −0.844467 | − | 0.535608i | \(-0.820083\pi\) |
−0.610351 | + | 0.792131i | \(0.708971\pi\) | |||||||
\(510\) | 204.299 | − | 41.7388i | 0.400586 | − | 0.0818408i | ||||
\(511\) | −698.090 | + | 831.951i | −1.36613 | + | 1.62808i | ||||
\(512\) | −491.463 | + | 143.557i | −0.959888 | + | 0.280384i | ||||
\(513\) | −501.524 | + | 841.736i | −0.977630 | + | 1.64081i | ||||
\(514\) | 210.847 | − | 188.581i | 0.410209 | − | 0.366888i | ||||
\(515\) | −503.990 | − | 422.897i | −0.978620 | − | 0.821160i | ||||
\(516\) | −244.530 | + | 105.595i | −0.473894 | + | 0.204641i | ||||
\(517\) | −43.0259 | + | 7.58663i | −0.0832223 | + | 0.0146743i | ||||
\(518\) | 9.46011 | − | 3.78554i | 0.0182628 | − | 0.00730800i | ||||
\(519\) | −135.362 | − | 377.271i | −0.260812 | − | 0.726920i | ||||
\(520\) | 965.821 | − | 459.178i | 1.85735 | − | 0.883034i | ||||
\(521\) | 325.591 | − | 563.940i | 0.624935 | − | 1.08242i | −0.363619 | − | 0.931548i | \(-0.618459\pi\) |
0.988553 | − | 0.150871i | \(-0.0482078\pi\) | |||||||
\(522\) | 86.5706 | − | 107.997i | 0.165844 | − | 0.206891i | ||||
\(523\) | 506.026 | + | 876.462i | 0.967544 | + | 1.67584i | 0.702618 | + | 0.711567i | \(0.252014\pi\) |
0.264926 | + | 0.964269i | \(0.414652\pi\) | |||||||
\(524\) | 231.824 | + | 956.895i | 0.442412 | + | 1.82614i | ||||
\(525\) | −699.573 | − | 841.517i | −1.33252 | − | 1.60289i | ||||
\(526\) | 124.901 | + | 17.9780i | 0.237454 | + | 0.0341786i | ||||
\(527\) | −105.702 | − | 125.971i | −0.200573 | − | 0.239034i | ||||
\(528\) | −274.882 | + | 139.905i | −0.520610 | + | 0.264972i | ||||
\(529\) | −488.903 | + | 177.946i | −0.924203 | + | 0.336382i | ||||
\(530\) | −890.234 | − | 292.535i | −1.67969 | − | 0.551953i | ||||
\(531\) | −281.127 | − | 105.249i | −0.529430 | − | 0.198208i | ||||
\(532\) | −1090.06 | + | 1479.52i | −2.04899 | + | 2.78105i | ||||
\(533\) | −634.965 | − | 111.961i | −1.19130 | − | 0.210059i | ||||
\(534\) | 234.835 | − | 433.356i | 0.439766 | − | 0.811528i | ||||
\(535\) | 234.228 | − | 643.535i | 0.437808 | − | 1.20287i | ||||
\(536\) | −231.238 | + | 234.717i | −0.431415 | + | 0.437904i | ||||
\(537\) | −386.633 | − | 676.809i | −0.719987 | − | 1.26035i | ||||
\(538\) | 2.59775 | + | 82.2394i | 0.00482852 | + | 0.152861i | ||||
\(539\) | −715.048 | −1.32662 | ||||||||
\(540\) | 233.867 | − | 756.955i | 0.433087 | − | 1.40177i | ||||
\(541\) | 651.594i | 1.20443i | 0.798336 | + | 0.602213i | \(0.205714\pi\) | ||||
−0.798336 | + | 0.602213i | \(0.794286\pi\) | |||||||
\(542\) | 19.3157 | + | 611.496i | 0.0356378 | + | 1.12822i | ||||
\(543\) | 431.338 | + | 251.675i | 0.794362 | + | 0.463489i | ||||
\(544\) | 95.5003 | + | 117.739i | 0.175552 | + | 0.216432i | ||||
\(545\) | −304.524 | − | 110.838i | −0.558759 | − | 0.203372i | ||||
\(546\) | 724.211 | + | 1179.64i | 1.32639 | + | 2.16052i | ||||
\(547\) | −137.734 | + | 781.127i | −0.251799 | + | 1.42802i | 0.552360 | + | 0.833606i | \(0.313727\pi\) |
−0.804158 | + | 0.594415i | \(0.797384\pi\) | |||||||
\(548\) | 530.454 | + | 390.820i | 0.967981 | + | 0.713176i | ||||
\(549\) | −572.599 | − | 106.383i | −1.04299 | − | 0.193775i | ||||
\(550\) | −351.786 | − | 115.598i | −0.639611 | − | 0.210179i | ||||
\(551\) | −95.4410 | − | 262.222i | −0.173214 | − | 0.475902i | ||||
\(552\) | 68.4032 | − | 18.5402i | 0.123919 | − | 0.0335873i | ||||
\(553\) | 296.369 | − | 248.683i | 0.535930 | − | 0.449699i | ||||
\(554\) | 20.8562 | + | 3.00200i | 0.0376466 | + | 0.00541877i | ||||
\(555\) | 1.49789 | + | 8.72859i | 0.00269891 | + | 0.0157272i | ||||
\(556\) | 9.06011 | + | 37.3972i | 0.0162952 | + | 0.0672612i | ||||
\(557\) | 655.123 | − | 378.235i | 1.17616 | − | 0.679058i | 0.221039 | − | 0.975265i | \(-0.429055\pi\) |
0.955124 | + | 0.296207i | \(0.0957218\pi\) | |||||||
\(558\) | −612.717 | + | 122.258i | −1.09806 | + | 0.219101i | ||||
\(559\) | 350.287 | + | 202.238i | 0.626631 | + | 0.361785i | ||||
\(560\) | 574.941 | − | 1370.20i | 1.02668 | − | 2.44679i | ||||
\(561\) | 69.6907 | + | 59.0235i | 0.124226 | + | 0.105211i | ||||
\(562\) | 541.967 | − | 216.873i | 0.964354 | − | 0.385895i | ||||
\(563\) | −37.7861 | − | 214.296i | −0.0671157 | − | 0.380632i | −0.999801 | − | 0.0199412i | \(-0.993652\pi\) |
0.932685 | − | 0.360691i | \(-0.117459\pi\) | |||||||
\(564\) | 81.0416 | + | 9.43990i | 0.143691 | + | 0.0167374i | ||||
\(565\) | −40.6520 | + | 48.4471i | −0.0719504 | + | 0.0857471i | ||||
\(566\) | 484.436 | − | 433.277i | 0.855895 | − | 0.765506i | ||||
\(567\) | 1006.46 | + | 196.544i | 1.77506 | + | 0.346639i | ||||
\(568\) | 278.724 | − | 198.282i | 0.490711 | − | 0.349087i | ||||
\(569\) | −405.896 | − | 340.587i | −0.713349 | − | 0.598571i | 0.212188 | − | 0.977229i | \(-0.431941\pi\) |
−0.925537 | + | 0.378658i | \(0.876386\pi\) | |||||||
\(570\) | −1059.36 | − | 1195.42i | −1.85852 | − | 2.09722i | ||||
\(571\) | −115.251 | − | 653.623i | −0.201841 | − | 1.14470i | −0.902333 | − | 0.431039i | \(-0.858147\pi\) |
0.700492 | − | 0.713660i | \(-0.252964\pi\) | |||||||
\(572\) | 419.601 | + | 208.123i | 0.733569 | + | 0.363852i | ||||
\(573\) | −469.664 | + | 554.545i | −0.819658 | + | 0.967793i | ||||
\(574\) | −761.329 | + | 472.214i | −1.32636 | + | 0.822673i | ||||
\(575\) | 73.6849 | + | 42.5420i | 0.128148 | + | 0.0739861i | ||||
\(576\) | 566.663 | − | 103.292i | 0.983790 | − | 0.179326i | ||||
\(577\) | −186.787 | − | 323.525i | −0.323721 | − | 0.560702i | 0.657531 | − | 0.753427i | \(-0.271601\pi\) |
−0.981253 | + | 0.192725i | \(0.938267\pi\) | |||||||
\(578\) | −251.847 | + | 469.874i | −0.435721 | + | 0.812931i | ||||
\(579\) | −47.6619 | − | 277.738i | −0.0823175 | − | 0.479685i | ||||
\(580\) | 124.925 | + | 187.895i | 0.215387 | + | 0.323957i | ||||
\(581\) | 357.307 | + | 425.822i | 0.614987 | + | 0.732912i | ||||
\(582\) | 37.3401 | − | 14.7439i | 0.0641583 | − | 0.0253332i | ||||
\(583\) | −140.370 | − | 385.663i | −0.240772 | − | 0.661514i | ||||
\(584\) | 285.380 | − | 624.122i | 0.488665 | − | 1.06870i | ||||
\(585\) | −1134.26 | + | 401.108i | −1.93891 | + | 0.685655i | ||||
\(586\) | −290.203 | + | 60.6754i | −0.495227 | + | 0.103542i | ||||
\(587\) | −61.0051 | + | 345.977i | −0.103927 | + | 0.589399i | 0.887717 | + | 0.460390i | \(0.152291\pi\) |
−0.991643 | + | 0.129009i | \(0.958821\pi\) | |||||||
\(588\) | 1279.39 | + | 382.473i | 2.17583 | + | 0.650464i | ||||
\(589\) | −430.823 | + | 1183.68i | −0.731448 | + | 2.00964i | ||||
\(590\) | 302.554 | − | 384.606i | 0.512804 | − | 0.651874i | ||||
\(591\) | 559.739 | + | 326.593i | 0.947105 | + | 0.552611i | ||||
\(592\) | −5.12615 | + | 3.89617i | −0.00865903 | + | 0.00658137i | ||||
\(593\) | 1124.52 | 1.89633 | 0.948163 | − | 0.317784i | \(-0.102939\pi\) | ||||
0.948163 | + | 0.317784i | \(0.102939\pi\) | |||||||
\(594\) | 323.897 | − | 124.474i | 0.545282 | − | 0.209553i | ||||
\(595\) | −439.979 | −0.739460 | ||||||||
\(596\) | −46.3783 | − | 48.6706i | −0.0778160 | − | 0.0816621i | ||||
\(597\) | −545.430 | + | 311.582i | −0.913618 | + | 0.521912i | ||||
\(598\) | −84.5865 | − | 66.5409i | −0.141449 | − | 0.111272i | ||||
\(599\) | −6.38458 | + | 17.5415i | −0.0106587 | + | 0.0292846i | −0.944908 | − | 0.327336i | \(-0.893849\pi\) |
0.934249 | + | 0.356621i | \(0.116071\pi\) | |||||||
\(600\) | 567.596 | + | 395.000i | 0.945993 | + | 0.658334i | ||||
\(601\) | −36.6796 | + | 208.020i | −0.0610309 | + | 0.346124i | 0.938967 | + | 0.344008i | \(0.111785\pi\) |
−0.999998 | + | 0.00211595i | \(0.999326\pi\) | |||||||
\(602\) | 550.118 | − | 115.018i | 0.913817 | − | 0.191060i | ||||
\(603\) | 286.125 | − | 235.654i | 0.474502 | − | 0.390803i | ||||
\(604\) | 5.38703 | + | 12.3196i | 0.00891892 | + | 0.0203967i | ||||
\(605\) | 199.989 | + | 549.464i | 0.330560 | + | 0.908205i | ||||
\(606\) | 524.674 | + | 77.9753i | 0.865799 | + | 0.128672i | ||||
\(607\) | −491.373 | − | 585.596i | −0.809511 | − | 0.964738i | 0.190344 | − | 0.981717i | \(-0.439040\pi\) |
−0.999856 | + | 0.0169792i | \(0.994595\pi\) | |||||||
\(608\) | 415.287 | − | 1084.47i | 0.683038 | − | 1.78367i | ||||
\(609\) | −224.582 | + | 186.700i | −0.368772 | + | 0.306569i | ||||
\(610\) | 448.506 | − | 836.785i | 0.735256 | − | 1.37178i | ||||
\(611\) | −61.9494 | − | 107.299i | −0.101390 | − | 0.175613i | ||||
\(612\) | −93.1220 | − | 142.884i | −0.152160 | − | 0.233471i | ||||
\(613\) | −148.318 | − | 85.6313i | −0.241954 | − | 0.139692i | 0.374121 | − | 0.927380i | \(-0.377945\pi\) |
−0.616074 | + | 0.787688i | \(0.711278\pi\) | |||||||
\(614\) | −387.111 | − | 624.122i | −0.630474 | − | 1.01648i | ||||
\(615\) | −262.964 | − | 732.917i | −0.427584 | − | 1.19173i | ||||
\(616\) | 627.357 | − | 173.129i | 1.01844 | − | 0.281054i | ||||
\(617\) | 78.6478 | + | 446.034i | 0.127468 | + | 0.722907i | 0.979811 | + | 0.199925i | \(0.0640697\pi\) |
−0.852343 | + | 0.522983i | \(0.824819\pi\) | |||||||
\(618\) | −170.330 | + | 510.446i | −0.275614 | + | 0.825965i | ||||
\(619\) | −4.62053 | − | 3.87709i | −0.00746451 | − | 0.00626347i | 0.639048 | − | 0.769167i | \(-0.279329\pi\) |
−0.646512 | + | 0.762904i | \(0.723773\pi\) | |||||||
\(620\) | 113.207 | − | 1012.21i | 0.182592 | − | 1.63259i | ||||
\(621\) | −78.7017 | + | 12.7647i | −0.126734 | + | 0.0205551i | ||||
\(622\) | 327.449 | + | 366.113i | 0.526445 | + | 0.588606i | ||||
\(623\) | −668.509 | + | 796.698i | −1.07305 | + | 1.27881i | ||||
\(624\) | −639.443 | − | 596.823i | −1.02475 | − | 0.956447i | ||||
\(625\) | −89.4522 | − | 507.309i | −0.143124 | − | 0.811694i | ||||
\(626\) | −314.581 | + | 125.882i | −0.502526 | + | 0.201090i | ||||
\(627\) | 124.633 | − | 688.375i | 0.198777 | − | 1.09789i | ||||
\(628\) | 169.588 | − | 576.897i | 0.270044 | − | 0.918626i | ||||
\(629\) | 1.65106 | + | 0.953241i | 0.00262490 | + | 0.00151549i | ||||
\(630\) | −803.182 | + | 1466.09i | −1.27489 | + | 2.32712i | ||||
\(631\) | −694.707 | + | 401.089i | −1.10096 | + | 0.635641i | −0.936474 | − | 0.350738i | \(-0.885931\pi\) |
−0.164488 | + | 0.986379i | \(0.552597\pi\) | |||||||
\(632\) | −138.726 | + | 201.302i | −0.219502 | + | 0.318516i | ||||
\(633\) | −962.044 | − | 355.154i | −1.51982 | − | 0.561065i | ||||
\(634\) | 1051.92 | + | 151.411i | 1.65918 | + | 0.238818i | ||||
\(635\) | −1061.30 | + | 890.538i | −1.67134 | + | 1.40242i | ||||
\(636\) | 44.8673 | + | 765.125i | 0.0705461 | + | 1.20303i | ||||
\(637\) | −693.546 | − | 1905.50i | −1.08877 | − | 2.99137i | ||||
\(638\) | −30.8506 | + | 93.8837i | −0.0483552 | + | 0.147153i | ||||
\(639\) | −335.007 | + | 189.345i | −0.524267 | + | 0.296315i | ||||
\(640\) | −119.885 | + | 931.290i | −0.187320 | + | 1.45514i | ||||
\(641\) | −67.2017 | + | 381.120i | −0.104839 | + | 0.594571i | 0.886446 | + | 0.462833i | \(0.153167\pi\) |
−0.991285 | + | 0.131738i | \(0.957944\pi\) | |||||||
\(642\) | −559.932 | + | 15.1198i | −0.872169 | + | 0.0235510i | ||||
\(643\) | 394.969 | + | 143.757i | 0.614259 | + | 0.223572i | 0.630366 | − | 0.776298i | \(-0.282905\pi\) |
−0.0161067 | + | 0.999870i | \(0.505127\pi\) | |||||||
\(644\) | −149.241 | + | 9.43778i | −0.231741 | + | 0.0146549i | ||||
\(645\) | −2.23761 | + | 488.472i | −0.00346916 | + | 0.757321i | ||||
\(646\) | −343.674 | + | 10.8558i | −0.532003 | + | 0.0168047i | ||||
\(647\) | 578.641i | 0.894344i | 0.894448 | + | 0.447172i | \(0.147569\pi\) | ||||
−0.894448 | + | 0.447172i | \(0.852431\pi\) | |||||||
\(648\) | −646.109 | + | 49.4643i | −0.997082 | + | 0.0763338i | ||||
\(649\) | 214.323 | 0.330236 | ||||||||
\(650\) | −33.1538 | − | 1049.58i | −0.0510058 | − | 1.61474i | ||||
\(651\) | 1318.31 | + | 6.03898i | 2.02506 | + | 0.00927647i | ||||
\(652\) | 626.343 | − | 39.6089i | 0.960649 | − | 0.0607498i | ||||
\(653\) | 178.493 | − | 490.406i | 0.273343 | − | 0.751005i | −0.724734 | − | 0.689029i | \(-0.758037\pi\) |
0.998078 | − | 0.0619763i | \(-0.0197403\pi\) | |||||||
\(654\) | 7.15475 | + | 264.962i | 0.0109400 | + | 0.405141i | ||||
\(655\) | 1778.22 | + | 313.548i | 2.71483 | + | 0.478698i | ||||
\(656\) | 384.374 | − | 415.623i | 0.585936 | − | 0.633572i | ||||
\(657\) | −392.138 | + | 665.056i | −0.596861 | + | 1.01226i | ||||
\(658\) | −163.551 | − | 53.7438i | −0.248558 | − | 0.0816774i | ||||
\(659\) | 664.764 | − | 241.954i | 1.00875 | − | 0.367154i | 0.215795 | − | 0.976439i | \(-0.430766\pi\) |
0.792951 | + | 0.609285i | \(0.208543\pi\) | |||||||
\(660\) | 33.1133 | + | 564.684i | 0.0501717 | + | 0.855581i | ||||
\(661\) | −56.7007 | − | 67.5733i | −0.0857802 | − | 0.102229i | 0.721447 | − | 0.692470i | \(-0.243477\pi\) |
−0.807227 | + | 0.590241i | \(0.799033\pi\) | |||||||
\(662\) | −108.594 | + | 754.452i | −0.164039 | + | 1.13966i | ||||
\(663\) | −89.6943 | + | 242.964i | −0.135285 | + | 0.366462i | ||||
\(664\) | −289.230 | − | 199.320i | −0.435588 | − | 0.300181i | ||||
\(665\) | 1685.13 | + | 2918.73i | 2.53403 | + | 4.38907i | ||||
\(666\) | 6.19039 | − | 3.76149i | 0.00929487 | − | 0.00564789i | ||||
\(667\) | 11.3535 | − | 19.6648i | 0.0170217 | − | 0.0294825i | ||||
\(668\) | −149.638 | + | 509.032i | −0.224009 | + | 0.762024i | ||||
\(669\) | −5.93198 | − | 1.07401i | −0.00886694 | − | 0.00160540i | ||||
\(670\) | 224.494 | + | 561.012i | 0.335065 | + | 0.837331i | ||||
\(671\) | 409.500 | − | 72.2059i | 0.610283 | − | 0.107609i | ||||
\(672\) | −1215.10 | − | 25.7982i | −1.80818 | − | 0.0383901i | ||||
\(673\) | −293.415 | − | 246.204i | −0.435981 | − | 0.365831i | 0.398222 | − | 0.917289i | \(-0.369627\pi\) |
−0.834203 | + | 0.551458i | \(0.814072\pi\) | |||||||
\(674\) | 9.23618 | − | 8.26077i | 0.0137035 | − | 0.0122563i | ||||
\(675\) | −589.018 | − | 508.200i | −0.872619 | − | 0.752889i | ||||
\(676\) | −72.4991 | + | 648.230i | −0.107247 | + | 0.958921i | ||||
\(677\) | 358.362 | − | 427.079i | 0.529338 | − | 0.630841i | −0.433424 | − | 0.901190i | \(-0.642695\pi\) |
0.962762 | + | 0.270349i | \(0.0871392\pi\) | |||||||
\(678\) | 49.0678 | + | 16.3733i | 0.0723714 | + | 0.0241495i | ||||
\(679\) | −83.4210 | + | 14.7094i | −0.122859 | + | 0.0216633i | ||||
\(680\) | 268.007 | − | 73.9610i | 0.394129 | − | 0.108766i | ||||
\(681\) | 1107.23 | − | 397.266i | 1.62589 | − | 0.583357i | ||||
\(682\) | 379.089 | − | 235.130i | 0.555849 | − | 0.344765i | ||||
\(683\) | 243.576 | − | 421.886i | 0.356627 | − | 0.617696i | −0.630768 | − | 0.775971i | \(-0.717260\pi\) |
0.987395 | + | 0.158276i | \(0.0505935\pi\) | |||||||
\(684\) | −591.204 | + | 1165.00i | −0.864333 | + | 1.70322i | ||||
\(685\) | 1046.45 | − | 604.170i | 1.52767 | − | 0.882000i | ||||
\(686\) | −1389.84 | − | 744.939i | −2.02601 | − | 1.08592i | ||||
\(687\) | 233.704 | + | 281.123i | 0.340181 | + | 0.409204i | ||||
\(688\) | −315.762 | + | 162.537i | −0.458957 | + | 0.236246i | ||||
\(689\) | 891.588 | − | 748.131i | 1.29403 | − | 1.08582i | ||||
\(690\) | 19.1063 | − | 128.561i | 0.0276903 | − | 0.186321i | ||||
\(691\) | 360.566 | − | 131.235i | 0.521803 | − | 0.189921i | −0.0676716 | − | 0.997708i | \(-0.521557\pi\) |
0.589475 | + | 0.807787i | \(0.299335\pi\) | |||||||
\(692\) | −214.115 | − | 489.659i | −0.309415 | − | 0.707600i | ||||
\(693\) | −722.170 | + | 120.527i | −1.04209 | + | 0.173921i | ||||
\(694\) | 76.4867 | + | 365.826i | 0.110211 | + | 0.527127i | ||||
\(695\) | 69.4960 | + | 12.2540i | 0.0999942 | + | 0.0176317i | ||||
\(696\) | 105.417 | − | 151.479i | 0.151461 | − | 0.217642i | ||||
\(697\) | −157.515 | − | 57.3307i | −0.225990 | − | 0.0822536i | ||||
\(698\) | −180.303 | + | 229.201i | −0.258314 | + | 0.328368i | ||||
\(699\) | −183.300 | − | 320.870i | −0.262231 | − | 0.459041i | ||||
\(700\) | −1006.57 | − | 1056.32i | −1.43795 | − | 1.50902i | ||||
\(701\) | − | 1007.01i | − | 1.43654i | −0.695765 | − | 0.718269i | \(-0.744935\pi\) | ||
0.695765 | − | 0.718269i | \(-0.255065\pi\) | |||||||
\(702\) | 645.863 | + | 742.409i | 0.920033 | + | 1.05756i | ||||
\(703\) | − | 14.6037i | − | 0.0207735i | ||||||
\(704\) | −353.043 | + | 210.919i | −0.501482 | + | 0.299601i | ||||
\(705\) | 75.4077 | − | 129.239i | 0.106961 | − | 0.183318i | ||||
\(706\) | 72.1768 | + | 56.7787i | 0.102233 | + | 0.0804231i | ||||
\(707\) | −1051.73 | − | 382.799i | −1.48760 | − | 0.541442i | ||||
\(708\) | −383.475 | − | 114.639i | −0.541631 | − | 0.161920i | ||||
\(709\) | −880.003 | − | 155.168i | −1.24119 | − | 0.218855i | −0.485764 | − | 0.874090i | \(-0.661458\pi\) |
−0.755425 | + | 0.655235i | \(0.772570\pi\) | |||||||
\(710\) | −128.381 | − | 614.031i | −0.180818 | − | 0.864833i | ||||
\(711\) | 178.711 | − | 209.059i | 0.251351 | − | 0.294035i | ||||
\(712\) | 273.288 | − | 597.676i | 0.383831 | − | 0.839432i | ||||
\(713\) | −96.3185 | + | 35.0571i | −0.135089 | + | 0.0491684i | ||||
\(714\) | 132.164 | + | 334.717i | 0.185104 | + | 0.468791i | ||||
\(715\) | 658.017 | − | 552.141i | 0.920303 | − | 0.772226i | ||||
\(716\) | −575.407 | − | 865.452i | −0.803641 | − | 1.20873i | ||||
\(717\) | −184.286 | + | 31.6249i | −0.257024 | + | 0.0441073i | ||||
\(718\) | −976.075 | − | 523.164i | −1.35944 | − | 0.728641i | ||||
\(719\) | 527.803 | − | 304.727i | 0.734079 | − | 0.423821i | −0.0858332 | − | 0.996310i | \(-0.527355\pi\) |
0.819913 | + | 0.572489i | \(0.194022\pi\) | |||||||
\(720\) | 242.797 | − | 1028.06i | 0.337217 | − | 1.42787i | ||||
\(721\) | 567.716 | − | 983.313i | 0.787400 | − | 1.36382i | ||||
\(722\) | 1007.73 | + | 1624.72i | 1.39575 | + | 2.25031i | ||||
\(723\) | −601.423 | − | 509.367i | −0.831844 | − | 0.704518i | ||||
\(724\) | 596.511 | + | 295.871i | 0.823910 | + | 0.408662i | ||||
\(725\) | 218.193 | − | 38.4734i | 0.300956 | − | 0.0530667i | ||||
\(726\) | 357.934 | − | 317.195i | 0.493022 | − | 0.436907i | ||||
\(727\) | 57.8106 | − | 68.8960i | 0.0795195 | − | 0.0947676i | −0.724818 | − | 0.688941i | \(-0.758076\pi\) |
0.804337 | + | 0.594173i | \(0.202521\pi\) | |||||||
\(728\) | 1069.86 | + | 1503.89i | 1.46958 | + | 2.06579i | ||||
\(729\) | 728.725 | + | 20.0339i | 0.999622 | + | 0.0274814i | ||||
\(730\) | −839.035 | − | 938.105i | −1.14936 | − | 1.28508i | ||||
\(731\) | 80.5535 | + | 67.5924i | 0.110196 | + | 0.0924657i | ||||
\(732\) | −771.315 | − | 89.8444i | −1.05371 | − | 0.122738i | ||||
\(733\) | −387.345 | + | 68.2994i | −0.528438 | + | 0.0931779i | −0.431501 | − | 0.902113i | \(-0.642016\pi\) |
−0.0969375 | + | 0.995290i | \(0.530905\pi\) | |||||||
\(734\) | −19.5553 | − | 48.8689i | −0.0266421 | − | 0.0665788i | ||||
\(735\) | 1582.71 | − | 1868.75i | 2.15335 | − | 2.54252i | ||||
\(736\) | 89.3220 | − | 30.8366i | 0.121361 | − | 0.0418975i | ||||
\(737\) | −132.326 | + | 229.196i | −0.179547 | + | 0.310985i | ||||
\(738\) | −478.580 | + | 420.211i | −0.648482 | + | 0.569391i | ||||
\(739\) | 175.049 | + | 303.194i | 0.236873 | + | 0.410277i | 0.959815 | − | 0.280632i | \(-0.0905441\pi\) |
−0.722942 | + | 0.690909i | \(0.757211\pi\) | |||||||
\(740\) | 2.78032 | + | 11.4763i | 0.00375718 | + | 0.0155085i | ||||
\(741\) | 1955.31 | − | 335.545i | 2.63874 | − | 0.452827i | ||||
\(742\) | 230.401 | − | 1600.70i | 0.310514 | − | 2.15728i | ||||
\(743\) | −148.489 | − | 176.962i | −0.199850 | − | 0.238173i | 0.656806 | − | 0.754059i | \(-0.271907\pi\) |
−0.856657 | + | 0.515887i | \(0.827462\pi\) | |||||||
\(744\) | −804.049 | + | 217.932i | −1.08071 | + | 0.292919i | ||||
\(745\) | −115.859 | + | 42.1691i | −0.155515 | + | 0.0566028i | ||||
\(746\) | −345.776 | + | 1052.26i | −0.463507 | + | 1.41053i | ||||
\(747\) | 300.375 | + | 256.770i | 0.402108 | + | 0.343736i | ||||
\(748\) | 98.0344 | + | 72.2284i | 0.131062 | + | 0.0965620i | ||||
\(749\) | 1163.94 | + | 205.234i | 1.55399 | + | 0.274011i | ||||
\(750\) | 143.026 | − | 87.8070i | 0.190701 | − | 0.117076i | ||||
\(751\) | 130.261 | − | 357.890i | 0.173450 | − | 0.476551i | −0.822256 | − | 0.569118i | \(-0.807285\pi\) |
0.995706 | + | 0.0925667i | \(0.0295071\pi\) | |||||||
\(752\) | 108.660 | + | 5.24412i | 0.144494 | + | 0.00697356i | ||||
\(753\) | −503.881 | + | 863.588i | −0.669165 | + | 1.14686i | ||||
\(754\) | −280.110 | + | 8.84799i | −0.371498 | + | 0.0117347i | ||||
\(755\) | 24.6589 | 0.0326608 | ||||||||
\(756\) | 1356.60 | + | 170.631i | 1.79445 | + | 0.225702i | ||||
\(757\) | − | 1460.23i | − | 1.92896i | −0.264148 | − | 0.964482i | \(-0.585091\pi\) | ||
0.264148 | − | 0.964482i | \(-0.414909\pi\) | |||||||
\(758\) | 451.424 | − | 14.2594i | 0.595546 | − | 0.0188119i | ||||
\(759\) | 49.4287 | − | 28.2366i | 0.0651234 | − | 0.0372023i | ||||
\(760\) | −1517.12 | − | 1494.63i | −1.99621 | − | 1.96662i | ||||
\(761\) | 181.961 | + | 66.2283i | 0.239107 | + | 0.0870280i | 0.458795 | − | 0.888542i | \(-0.348281\pi\) |
−0.219687 | + | 0.975570i | \(0.570504\pi\) | |||||||
\(762\) | 996.285 | + | 539.886i | 1.30746 | + | 0.708512i | ||||
\(763\) | 97.1178 | − | 550.782i | 0.127284 | − | 0.721864i | ||||
\(764\) | −574.738 | + | 780.082i | −0.752275 | + | 1.02105i | ||||
\(765\) | −308.512 | + | 51.4892i | −0.403283 | + | 0.0673061i | ||||
\(766\) | −161.950 | + | 492.842i | −0.211423 | + | 0.643397i | ||||
\(767\) | 207.878 | + | 571.140i | 0.271027 | + | 0.744642i | ||||
\(768\) | 744.496 | − | 188.544i | 0.969396 | − | 0.245501i | ||||
\(769\) | −605.729 | + | 508.267i | −0.787684 | + | 0.660945i | −0.945171 | − | 0.326576i | \(-0.894105\pi\) |
0.157487 | + | 0.987521i | \(0.449661\pi\) | |||||||
\(770\) | 170.043 | − | 1181.36i | 0.220835 | − | 1.53424i | ||||
\(771\) | −326.290 | + | 271.253i | −0.423204 | + | 0.351819i | ||||
\(772\) | −88.4676 | − | 365.166i | −0.114595 | − | 0.473013i | ||||
\(773\) | −1014.54 | + | 585.742i | −1.31246 | + | 0.757752i | −0.982504 | − | 0.186243i | \(-0.940369\pi\) |
−0.329961 | + | 0.943995i | \(0.607036\pi\) | |||||||
\(774\) | 372.280 | − | 145.029i | 0.480982 | − | 0.187376i | ||||
\(775\) | −866.133 | − | 500.062i | −1.11759 | − | 0.645242i | ||||
\(776\) | 48.3421 | − | 22.9832i | 0.0622966 | − | 0.0296175i | ||||
\(777\) | −14.3862 | + | 5.16163i | −0.0185150 | + | 0.00664302i | ||||
\(778\) | 469.356 | + | 1172.93i | 0.603286 | + | 1.50762i | ||||
\(779\) | 222.965 | + | 1264.50i | 0.286220 | + | 1.62323i | ||||
\(780\) | −1472.68 | + | 635.945i | −1.88805 | + | 0.815314i | ||||
\(781\) | 176.604 | − | 210.468i | 0.226125 | − | 0.269486i | ||||
\(782\) | −18.6526 | − | 20.8550i | −0.0238524 | − | 0.0266688i | ||||
\(783\) | −135.627 | + | 157.196i | −0.173215 | + | 0.200761i | ||||
\(784\) | 1736.46 | + | 393.337i | 2.21487 | + | 0.501705i | ||||
\(785\) | −844.761 | − | 708.839i | −1.07613 | − | 0.902979i | ||||
\(786\) | −295.621 | − | 1446.98i | −0.376108 | − | 1.84094i | ||||
\(787\) | −42.3130 | − | 239.969i | −0.0537650 | − | 0.304916i | 0.946053 | − | 0.324013i | \(-0.105032\pi\) |
−0.999818 | + | 0.0190965i | \(0.993921\pi\) | |||||||
\(788\) | 774.080 | + | 383.946i | 0.982335 | + | 0.487241i | ||||
\(789\) | −186.254 | − | 33.7221i | −0.236064 | − | 0.0427403i | ||||
\(790\) | 236.321 | + | 381.010i | 0.299141 | + | 0.482291i | ||||
\(791\) | −94.5231 | − | 54.5730i | −0.119498 | − | 0.0689924i | ||||
\(792\) | 419.640 | − | 194.815i | 0.529848 | − | 0.245979i | ||||
\(793\) | 589.604 | + | 1021.22i | 0.743511 | + | 1.28780i | ||||
\(794\) | −340.762 | − | 182.644i | −0.429171 | − | 0.230030i | ||||
\(795\) | 1318.62 | + | 486.789i | 1.65864 | + | 0.612313i | ||||
\(796\) | −697.454 | + | 463.711i | −0.876198 | + | 0.582552i | ||||
\(797\) | 614.159 | + | 731.926i | 0.770589 | + | 0.918352i | 0.998468 | − | 0.0553376i | \(-0.0176235\pi\) |
−0.227879 | + | 0.973689i | \(0.573179\pi\) | |||||||
\(798\) | 1714.25 | − | 2158.72i | 2.14818 | − | 2.70517i | ||||
\(799\) | −11.0168 | − | 30.2684i | −0.0137883 | − | 0.0378829i | ||||
\(800\) | 790.705 | + | 474.237i | 0.988382 | + | 0.592796i | ||||
\(801\) | −375.521 | + | 636.875i | −0.468816 | + | 0.795100i | ||||
\(802\) | 176.929 | + | 846.232i | 0.220610 | + | 1.05515i | ||||
\(803\) | 95.7200 | − | 542.855i | 0.119203 | − | 0.676034i | ||||
\(804\) | 359.358 | − | 339.306i | 0.446963 | − | 0.422022i | ||||
\(805\) | −93.7976 | + | 257.707i | −0.116519 | + | 0.320133i | ||||
\(806\) | 994.276 | + | 782.159i | 1.23359 | + | 0.970420i | ||||
\(807\) | 0.565363 | − | 123.419i | 0.000700574 | − | 0.152936i | ||||
\(808\) | 704.998 | + | 56.3797i | 0.872523 | + | 0.0697769i | ||||
\(809\) | −513.982 | −0.635330 | −0.317665 | − | 0.948203i | \(-0.602899\pi\) | ||||
−0.317665 | + | 0.948203i | \(0.602899\pi\) | |||||||
\(810\) | −391.617 | + | 1122.01i | −0.483478 | + | 1.38520i | ||||
\(811\) | −259.578 | −0.320071 | −0.160036 | − | 0.987111i | \(-0.551161\pi\) | ||||
−0.160036 | + | 0.987111i | \(0.551161\pi\) | |||||||
\(812\) | −281.907 | + | 268.630i | −0.347177 | + | 0.330825i | ||||
\(813\) | 4.20379 | − | 917.692i | 0.00517072 | − | 1.12877i | ||||
\(814\) | −3.19760 | + | 4.06477i | −0.00392825 | + | 0.00499357i | ||||
\(815\) | 393.654 | − | 1081.55i | 0.483011 | − | 1.32706i | ||||
\(816\) | −136.772 | − | 181.671i | −0.167613 | − | 0.222637i | ||||
\(817\) | 139.872 | − | 793.255i | 0.171202 | − | 0.970937i | ||||
\(818\) | −109.400 | − | 523.247i | −0.133741 | − | 0.639666i | ||||
\(819\) | −1021.64 | − | 1807.58i | −1.24742 | − | 2.20705i | ||||
\(820\) | −415.956 | − | 951.250i | −0.507264 | − | 1.16006i | ||||
\(821\) | 312.115 | + | 857.530i | 0.380165 | + | 1.04449i | 0.971287 | + | 0.237912i | \(0.0764630\pi\) |
−0.591122 | + | 0.806582i | \(0.701315\pi\) | |||||||
\(822\) | −773.968 | − | 614.611i | −0.941567 | − | 0.747702i | ||||
\(823\) | 66.3219 | + | 79.0393i | 0.0805855 | + | 0.0960381i | 0.804831 | − | 0.593504i | \(-0.202256\pi\) |
−0.724245 | + | 0.689543i | \(0.757812\pi\) | |||||||
\(824\) | −180.521 | + | 694.406i | −0.219078 | + | 0.842725i | ||||
\(825\) | 521.066 | + | 192.360i | 0.631595 | + | 0.233164i | ||||
\(826\) | 744.344 | + | 398.959i | 0.901142 | + | 0.483001i | ||||
\(827\) | −154.275 | − | 267.212i | −0.186548 | − | 0.323110i | 0.757549 | − | 0.652778i | \(-0.226397\pi\) |
−0.944097 | + | 0.329668i | \(0.893063\pi\) | |||||||
\(828\) | −103.543 | + | 24.0829i | −0.125052 | + | 0.0290857i | ||||
\(829\) | 643.187 | + | 371.344i | 0.775859 | + | 0.447942i | 0.834961 | − | 0.550310i | \(-0.185490\pi\) |
−0.0591019 | + | 0.998252i | \(0.518824\pi\) | |||||||
\(830\) | −547.434 | + | 339.545i | −0.659559 | + | 0.409091i | ||||
\(831\) | −31.1011 | − | 5.63098i | −0.0374261 | − | 0.00677615i | ||||
\(832\) | −904.495 | − | 736.233i | −1.08713 | − | 0.884895i | ||||
\(833\) | −91.5443 | − | 519.173i | −0.109897 | − | 0.623257i | ||||
\(834\) | −11.5534 | − | 56.5505i | −0.0138530 | − | 0.0678063i | ||||
\(835\) | 745.385 | + | 625.453i | 0.892677 | + | 0.749045i | ||||
\(836\) | 103.674 | − | 926.976i | 0.124012 | − | 1.10882i | ||||
\(837\) | 925.104 | − | 150.043i | 1.10526 | − | 0.179263i | ||||
\(838\) | −644.509 | + | 576.445i | −0.769104 | + | 0.687882i | ||||
\(839\) | 948.039 | − | 1129.83i | 1.12996 | − | 1.34664i | 0.199652 | − | 0.979867i | \(-0.436019\pi\) |
0.930311 | − | 0.366771i | \(-0.119537\pi\) | |||||||
\(840\) | −936.147 | + | 2022.78i | −1.11446 | + | 2.40808i | ||||
\(841\) | 135.770 | + | 769.992i | 0.161439 | + | 0.915568i | ||||
\(842\) | −239.350 | − | 598.139i | −0.284264 | − | 0.710379i | ||||
\(843\) | −824.179 | + | 295.708i | −0.977674 | + | 0.350781i | ||||
\(844\) | −1311.83 | − | 385.634i | −1.55431 | − | 0.456913i | ||||
\(845\) | 1035.96 | + | 598.112i | 1.22599 | + | 0.707825i | ||||
\(846\) | −120.971 | − | 18.5451i | −0.142992 | − | 0.0219209i | ||||
\(847\) | −873.931 | + | 504.565i | −1.03180 | + | 0.595708i | ||||
\(848\) | 128.734 | + | 1013.78i | 0.151809 | + | 1.19549i | ||||
\(849\) | −749.674 | + | 623.222i | −0.883008 | + | 0.734065i | ||||
\(850\) | 38.8948 | − | 270.220i | 0.0457586 | − | 0.317906i | ||||
\(851\) | 0.910321 | − | 0.763850i | 0.00106971 | − | 0.000897591i | ||||
\(852\) | −428.564 | + | 282.114i | −0.503009 | + | 0.331120i | ||||
\(853\) | −187.998 | − | 516.519i | −0.220396 | − | 0.605532i | 0.779383 | − | 0.626547i | \(-0.215532\pi\) |
−0.999779 | + | 0.0210150i | \(0.993310\pi\) | |||||||
\(854\) | 1556.60 | + | 511.507i | 1.82272 | + | 0.598954i | ||||
\(855\) | 1523.17 | + | 1849.40i | 1.78149 | + | 2.16304i | ||||
\(856\) | −743.500 | + | 70.6442i | −0.868575 | + | 0.0825282i | ||||
\(857\) | 127.382 | − | 722.419i | 0.148637 | − | 0.842962i | −0.815738 | − | 0.578422i | \(-0.803669\pi\) |
0.964375 | − | 0.264540i | \(-0.0852202\pi\) | |||||||
\(858\) | −617.705 | − | 334.734i | −0.719936 | − | 0.390133i | ||||
\(859\) | 383.360 | + | 139.532i | 0.446286 | + | 0.162435i | 0.555380 | − | 0.831597i | \(-0.312573\pi\) |
−0.109094 | + | 0.994031i | \(0.534795\pi\) | |||||||
\(860\) | 41.1052 | + | 650.005i | 0.0477967 | + | 0.755819i | ||||
\(861\) | 1166.85 | − | 666.575i | 1.35523 | − | 0.774187i | ||||
\(862\) | 39.9674 | + | 1265.29i | 0.0463659 | + | 1.46785i | ||||
\(863\) | − | 859.978i | − | 0.996498i | −0.867034 | − | 0.498249i | \(-0.833977\pi\) | ||
0.867034 | − | 0.498249i | \(-0.166023\pi\) | |||||||
\(864\) | −855.040 | + | 124.109i | −0.989629 | + | 0.143644i | ||||
\(865\) | −980.103 | −1.13307 | ||||||||
\(866\) | 676.996 | − | 21.3847i | 0.781750 | − | 0.0246936i | ||||
\(867\) | 403.002 | − | 690.694i | 0.464824 | − | 0.796648i | ||||
\(868\) | 1754.27 | − | 110.937i | 2.02104 | − | 0.127807i | ||||
\(869\) | −67.1613 | + | 184.524i | −0.0772858 | + | 0.212341i | ||||
\(870\) | −177.076 | − | 288.433i | −0.203535 | − | 0.331532i | ||||
\(871\) | −739.122 | − | 130.327i | −0.848590 | − | 0.149629i | ||||
\(872\) | 33.4291 | + | 351.827i | 0.0383362 | + | 0.403472i | ||||
\(873\) | −56.7731 | + | 20.0766i | −0.0650322 | + | 0.0229973i | ||||
\(874\) | −66.9081 | + | 203.613i | −0.0765539 | + | 0.232967i | ||||
\(875\) | −332.765 | + | 121.117i | −0.380303 | + | 0.138419i | ||||
\(876\) | −461.634 | + | 920.096i | −0.526979 | + | 1.05034i | ||||
\(877\) | −457.525 | − | 545.257i | −0.521694 | − | 0.621730i | 0.439287 | − | 0.898347i | \(-0.355231\pi\) |
−0.960980 | + | 0.276617i | \(0.910787\pi\) | |||||||
\(878\) | 16.9873 | + | 2.44512i | 0.0193478 | + | 0.00278487i | ||||
\(879\) | 438.310 | − | 75.2174i | 0.498647 | − | 0.0855715i | ||||
\(880\) | 95.0093 | + | 748.197i | 0.107965 | + | 0.850223i | ||||
\(881\) | −785.989 | − | 1361.37i | −0.892155 | − | 1.54526i | −0.837286 | − | 0.546765i | \(-0.815859\pi\) |
−0.0548688 | − | 0.998494i | \(-0.517474\pi\) | |||||||
\(882\) | −1897.09 | − | 642.709i | −2.15090 | − | 0.728695i | ||||
\(883\) | 109.403 | − | 189.492i | 0.123899 | − | 0.214600i | −0.797403 | − | 0.603447i | \(-0.793793\pi\) |
0.921302 | + | 0.388848i | \(0.127127\pi\) | |||||||
\(884\) | −97.3920 | + | 331.304i | −0.110172 | + | 0.374778i | ||||
\(885\) | −474.390 | + | 560.125i | −0.536034 | + | 0.632910i | ||||
\(886\) | −776.619 | + | 310.771i | −0.876545 | + | 0.350757i | ||||
\(887\) | −654.043 | + | 115.326i | −0.737366 | + | 0.130017i | −0.529703 | − | 0.848183i | \(-0.677697\pi\) |
−0.207663 | + | 0.978201i | \(0.566586\pi\) | |||||||
\(888\) | 7.89547 | − | 5.56247i | 0.00889129 | − | 0.00626404i | ||||
\(889\) | −1831.61 | − | 1536.90i | −2.06030 | − | 1.72880i | ||||
\(890\) | −803.482 | − | 898.354i | −0.902789 | − | 1.00939i | ||||
\(891\) | −492.278 | + | 169.026i | −0.552501 | + | 0.189704i | ||||
\(892\) | −7.98810 | − | 0.893401i | −0.00895527 | − | 0.00100157i | ||||
\(893\) | −158.600 | + | 189.012i | −0.177604 | + | 0.211660i | ||||
\(894\) | 66.8829 | + | 75.4731i | 0.0748130 | + | 0.0844218i | ||||
\(895\) | −1877.01 | + | 330.968i | −2.09722 | + | 0.369797i | ||||
\(896\) | −1618.74 | + | 75.3368i | −1.80663 | + | 0.0840812i | ||||
\(897\) | 123.189 | + | 104.333i | 0.137334 | + | 0.116313i | ||||
\(898\) | 436.928 | + | 704.440i | 0.486557 | + | 0.784454i | ||||
\(899\) | −133.455 | + | 231.151i | −0.148449 | + | 0.257121i | ||||
\(900\) | −829.418 | − | 622.891i | −0.921576 | − | 0.692101i | ||||
\(901\) | 262.046 | − | 151.293i | 0.290839 | − | 0.167916i | ||||
\(902\) | 214.812 | − | 400.777i | 0.238151 | − | 0.444321i | ||||
\(903\) | −830.874 | + | 142.584i | −0.920126 | + | 0.157901i | ||||
\(904\) | 66.7513 | + | 17.3530i | 0.0738400 | + | 0.0191957i | ||||
\(905\) | 935.446 | − | 784.932i | 1.03364 | − | 0.867328i | ||||
\(906\) | −7.40723 | − | 18.7594i | −0.00817575 | − | 0.0207058i | ||||
\(907\) | 198.120 | − | 72.1097i | 0.218434 | − | 0.0795035i | −0.230485 | − | 0.973076i | \(-0.574031\pi\) |
0.448919 | + | 0.893572i | \(0.351809\pi\) | |||||||
\(908\) | 1437.08 | − | 628.395i | 1.58268 | − | 0.692065i | ||||
\(909\) | −782.269 | − | 145.337i | −0.860582 | − | 0.159887i | ||||
\(910\) | 3313.09 | − | 692.699i | 3.64076 | − | 0.761207i | ||||
\(911\) | −766.618 | − | 135.175i | −0.841513 | − | 0.148381i | −0.263755 | − | 0.964590i | \(-0.584961\pi\) |
−0.577758 | + | 0.816208i | \(0.696072\pi\) | |||||||
\(912\) | −681.329 | + | 1603.12i | −0.747071 | + | 1.75781i | ||||
\(913\) | −265.124 | − | 96.4971i | −0.290387 | − | 0.105692i | ||||
\(914\) | −1280.40 | − | 1007.24i | −1.40087 | − | 1.10201i | ||||
\(915\) | −717.694 | + | 1230.04i | −0.784365 | + | 1.34430i | ||||
\(916\) | 336.261 | + | 352.881i | 0.367097 | + | 0.385241i | ||||
\(917\) | 3116.21i | 3.39826i | ||||||||
\(918\) | 131.844 | + | 219.235i | 0.143621 | + | 0.238819i | ||||
\(919\) | 421.451i | 0.458597i | 0.973356 | + | 0.229299i | \(0.0736433\pi\) | ||||
−0.973356 | + | 0.229299i | \(0.926357\pi\) | |||||||
\(920\) | 13.8148 | − | 172.746i | 0.0150160 | − | 0.187768i | ||||
\(921\) | 546.444 | + | 956.562i | 0.593316 | + | 1.03861i | ||||
\(922\) | 381.675 | − | 485.183i | 0.413964 | − | 0.526229i | ||||
\(923\) | 732.161 | + | 266.485i | 0.793241 | + | 0.288716i | ||||
\(924\) | −949.808 | + | 225.506i | −1.02793 | + | 0.244054i | ||||
\(925\) | 11.4188 | + | 2.01345i | 0.0123447 | + | 0.00217670i | ||||
\(926\) | 136.177 | − | 28.4717i | 0.147059 | − | 0.0307470i | ||||
\(927\) | 283.007 | − | 755.933i | 0.305293 | − | 0.815462i | ||||
\(928\) | 126.563 | − | 211.021i | 0.136383 | − | 0.227394i | ||||
\(929\) | −616.852 | + | 224.516i | −0.663995 | + | 0.241675i | −0.651960 | − | 0.758253i | \(-0.726053\pi\) |
−0.0120350 | + | 0.999928i | \(0.503831\pi\) | |||||||
\(930\) | −224.586 | + | 1511.18i | −0.241491 | + | 1.62492i | ||||
\(931\) | −3093.47 | + | 2595.73i | −3.32274 | + | 2.78811i | ||||
\(932\) | −272.796 | − | 410.304i | −0.292699 | − | 0.440240i | ||||
\(933\) | −471.000 | − | 566.566i | −0.504823 | − | 0.607252i | ||||
\(934\) | −399.347 | + | 745.067i | −0.427566 | + | 0.797716i | ||||
\(935\) | 193.398 | − | 111.658i | 0.206842 | − | 0.119420i | ||||
\(936\) | 926.175 | + | 929.323i | 0.989503 | + | 0.992866i | ||||
\(937\) | 188.987 | − | 327.335i | 0.201694 | − | 0.349344i | −0.747380 | − | 0.664396i | \(-0.768689\pi\) |
0.949074 | + | 0.315052i | \(0.102022\pi\) | |||||||
\(938\) | −886.214 | + | 549.674i | −0.944791 | + | 0.586006i | ||||
\(939\) | 478.390 | − | 171.642i | 0.509467 | − | 0.182792i | ||||
\(940\) | 88.6500 | − | 178.729i | 0.0943085 | − | 0.190137i | ||||
\(941\) | −1687.17 | + | 297.494i | −1.79295 | + | 0.316146i | −0.968356 | − | 0.249572i | \(-0.919710\pi\) |
−0.824598 | + | 0.565719i | \(0.808599\pi\) | |||||||
\(942\) | −285.498 | + | 855.584i | −0.303076 | + | 0.908263i | ||||
\(943\) | −67.1601 | + | 80.0383i | −0.0712196 | + | 0.0848762i | ||||
\(944\) | −520.473 | − | 117.896i | −0.551348 | − | 0.124889i | ||||
\(945\) | 1283.48 | − | 2154.14i | 1.35818 | − | 2.27952i | ||||
\(946\) | −212.621 | + | 190.167i | −0.224758 | + | 0.201022i | ||||
\(947\) | 1388.78 | + | 1165.33i | 1.46651 | + | 1.23055i | 0.919305 | + | 0.393545i | \(0.128751\pi\) |
0.547202 | + | 0.837001i | \(0.315693\pi\) | |||||||
\(948\) | 218.868 | − | 294.234i | 0.230873 | − | 0.310373i | ||||
\(949\) | 1539.47 | − | 271.450i | 1.62220 | − | 0.286038i | ||||
\(950\) | −1941.55 | + | 776.928i | −2.04374 | + | 0.817818i | ||||
\(951\) | −1568.64 | − | 284.008i | −1.64946 | − | 0.298641i | ||||
\(952\) | 206.021 | + | 433.339i | 0.216409 | + | 0.455188i | ||||
\(953\) | 438.664 | − | 759.788i | 0.460298 | − | 0.797259i | −0.538678 | − | 0.842512i | \(-0.681076\pi\) |
0.998976 | + | 0.0452525i | \(0.0144092\pi\) | |||||||
\(954\) | −25.7680 | − | 1149.37i | −0.0270105 | − | 1.20479i | ||||
\(955\) | 888.490 | + | 1538.91i | 0.930356 | + | 1.61142i | ||||
\(956\) | −242.298 | + | 58.7007i | −0.253450 | + | 0.0614024i | ||||
\(957\) | 51.3366 | − | 139.061i | 0.0536432 | − | 0.145309i | ||||
\(958\) | −1796.01 | − | 258.514i | −1.87475 | − | 0.269847i | ||||
\(959\) | 1340.45 | + | 1597.48i | 1.39776 | + | 1.66578i | ||||
\(960\) | 230.209 | − | 1389.52i | 0.239801 | − | 1.44742i | ||||
\(961\) | 229.136 | − | 83.3989i | 0.238435 | − | 0.0867834i | ||||
\(962\) | −13.9335 | − | 4.57860i | −0.0144839 | − | 0.00475946i | ||||
\(963\) | 840.169 | + | 7.69751i | 0.872450 | + | 0.00799327i | ||||
\(964\) | −846.026 | − | 623.323i | −0.877620 | − | 0.646601i | ||||
\(965\) | −678.595 | − | 119.655i | −0.703208 | − | 0.123994i | ||||
\(966\) | 224.228 | − | 6.05479i | 0.232120 | − | 0.00626790i | ||||
\(967\) | −69.1279 | + | 189.927i | −0.0714870 | + | 0.196409i | −0.970291 | − | 0.241943i | \(-0.922215\pi\) |
0.898804 | + | 0.438352i | \(0.144438\pi\) | |||||||
\(968\) | 447.526 | − | 454.258i | 0.462320 | − | 0.469275i | ||||
\(969\) | 515.763 | + | 2.36262i | 0.532263 | + | 0.00243821i | ||||
\(970\) | −3.09928 | − | 98.1169i | −0.00319513 | − | 0.101151i | ||||
\(971\) | −1529.42 | −1.57509 | −0.787547 | − | 0.616255i | \(-0.788649\pi\) | ||||
−0.787547 | + | 0.616255i | \(0.788649\pi\) | |||||||
\(972\) | 971.213 | − | 39.1126i | 0.999190 | − | 0.0402393i | ||||
\(973\) | 121.787i | 0.125167i | ||||||||
\(974\) | −36.7765 | − | 1164.27i | −0.0377582 | − | 1.19535i | ||||
\(975\) | −7.21546 | + | 1575.14i | −0.00740047 | + | 1.61553i | ||||
\(976\) | −1034.17 | − | 49.9110i | −1.05960 | − | 0.0511383i | ||||
\(977\) | 571.053 | + | 207.846i | 0.584496 | + | 0.212739i | 0.617307 | − | 0.786722i | \(-0.288224\pi\) |
−0.0328107 | + | 0.999462i | \(0.510446\pi\) | |||||||
\(978\) | −941.048 | + | 25.4110i | −0.962217 | + | 0.0259826i | ||||
\(979\) | 91.6640 | − | 519.852i | 0.0936302 | − | 0.531003i | ||||
\(980\) | 1936.80 | − | 2628.79i | 1.97633 | − | 2.68244i | ||||
\(981\) | 3.64250 | − | 397.572i | 0.00371305 | − | 0.405272i | ||||
\(982\) | −149.022 | − | 48.9695i | −0.151754 | − | 0.0498671i | ||||
\(983\) | 423.710 | + | 1164.13i | 0.431037 | + | 1.18427i | 0.945177 | + | 0.326559i | \(0.105889\pi\) |
−0.514140 | + | 0.857706i | \(0.671889\pi\) | |||||||
\(984\) | −598.722 | + | 602.185i | −0.608457 | + | 0.611977i | ||||
\(985\) | 1213.91 | − | 1018.59i | 1.23239 | − | 1.03410i | ||||
\(986\) | −72.1156 | − | 10.3801i | −0.0731395 | − | 0.0105275i | ||||
\(987\) | 242.252 | + | 89.4315i | 0.245443 | + | 0.0906094i | ||||
\(988\) | 2570.81 | − | 622.823i | 2.60204 | − | 0.630387i | ||||
\(989\) | 56.7635 | − | 32.7724i | 0.0573948 | − | 0.0331369i | ||||
\(990\) | −19.0175 | − | 848.267i | −0.0192096 | − | 0.856836i | ||||
\(991\) | −851.822 | − | 491.800i | −0.859559 | − | 0.496266i | 0.00430590 | − | 0.999991i | \(-0.498629\pi\) |
−0.863864 | + | 0.503724i | \(0.831963\pi\) | |||||||
\(992\) | −1049.94 | + | 362.470i | −1.05841 | + | 0.365393i | ||||
\(993\) | 203.695 | − | 1125.05i | 0.205131 | − | 1.13298i | ||||
\(994\) | 1005.13 | − | 402.211i | 1.01120 | − | 0.404639i | ||||
\(995\) | 266.722 | + | 1512.66i | 0.268062 | + | 1.52026i | ||||
\(996\) | 422.754 | + | 314.468i | 0.424451 | + | 0.315731i | ||||
\(997\) | −317.995 | + | 378.971i | −0.318952 | + | 0.380112i | −0.901569 | − | 0.432635i | \(-0.857584\pi\) |
0.582618 | + | 0.812746i | \(0.302028\pi\) | |||||||
\(998\) | −1105.38 | + | 988.644i | −1.10759 | + | 0.990625i | ||||
\(999\) | −9.48348 | + | 5.30288i | −0.00949297 | + | 0.00530818i |
(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 | 216.3.r.b.43.2 | ✓ | 408 | |
8.3 | odd | 2 | inner | 216.3.r.b.43.31 | yes | 408 | |
27.22 | even | 9 | inner | 216.3.r.b.211.31 | yes | 408 | |
216.211 | odd | 18 | inner | 216.3.r.b.211.2 | yes | 408 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.3.r.b.43.2 | ✓ | 408 | 1.1 | even | 1 | trivial | |
216.3.r.b.43.31 | yes | 408 | 8.3 | odd | 2 | inner | |
216.3.r.b.211.2 | yes | 408 | 216.211 | odd | 18 | inner | |
216.3.r.b.211.31 | yes | 408 | 27.22 | even | 9 | inner |