Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.a.184.2 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.834037 | + | 2.17274i | −0.589753 | + | 1.53636i | 0.235663 | + | 0.971835i | \(0.424274\pi\) |
−0.825416 | + | 0.564524i | \(0.809060\pi\) | |||||||
\(3\) | −0.669131 | − | 0.743145i | −0.386323 | − | 0.429055i | ||||
\(4\) | −2.53889 | − | 2.28603i | −1.26945 | − | 1.14301i | ||||
\(5\) | 0.383236 | + | 0.0606986i | 0.171388 | + | 0.0271453i | 0.241539 | − | 0.970391i | \(-0.422348\pi\) |
−0.0701504 | + | 0.997536i | \(0.522348\pi\) | |||||||
\(6\) | 2.17274 | − | 0.834037i | 0.887017 | − | 0.340494i | ||||
\(7\) | −0.733573 | + | 0.0384449i | −0.277265 | + | 0.0145308i | −0.190461 | − | 0.981695i | \(-0.560998\pi\) |
−0.0868031 | + | 0.996225i | \(0.527665\pi\) | |||||||
\(8\) | 2.93716 | − | 1.49656i | 1.03844 | − | 0.529113i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −0.451515 | + | 0.782048i | −0.142782 | + | 0.247305i | ||||
\(11\) | 1.32923 | − | 3.03861i | 0.400779 | − | 0.916175i | ||||
\(12\) | 3.41642i | 0.986234i | ||||||||
\(13\) | 0.457249 | − | 3.57644i | 0.126818 | − | 0.991926i | ||||
\(14\) | 0.528296 | − | 1.62593i | 0.141193 | − | 0.434547i | ||||
\(15\) | −0.211327 | − | 0.325415i | −0.0545644 | − | 0.0840219i | ||||
\(16\) | 0.0877060 | + | 0.834467i | 0.0219265 | + | 0.208617i | ||||
\(17\) | 6.24748 | + | 2.78156i | 1.51524 | + | 0.674627i | 0.984894 | − | 0.173156i | \(-0.0553966\pi\) |
0.530343 | + | 0.847783i | \(0.322063\pi\) | |||||||
\(18\) | −2.07366 | − | 1.05658i | −0.488766 | − | 0.249039i | ||||
\(19\) | 0.0672983 | − | 0.103630i | 0.0154393 | − | 0.0237744i | −0.830867 | − | 0.556472i | \(-0.812155\pi\) |
0.846306 | + | 0.532697i | \(0.178822\pi\) | |||||||
\(20\) | −0.834236 | − | 1.03020i | −0.186541 | − | 0.230359i | ||||
\(21\) | 0.519426 | + | 0.519426i | 0.113348 | + | 0.113348i | ||||
\(22\) | 5.49347 | + | 5.42239i | 1.17121 | + | 1.15606i | ||||
\(23\) | 6.19065 | + | 3.57417i | 1.29084 | + | 0.745266i | 0.978803 | − | 0.204804i | \(-0.0656558\pi\) |
0.312036 | + | 0.950070i | \(0.398989\pi\) | |||||||
\(24\) | −3.07750 | − | 1.18134i | −0.628192 | − | 0.241140i | ||||
\(25\) | −4.61210 | − | 1.49856i | −0.922419 | − | 0.299712i | ||||
\(26\) | 7.38931 | + | 3.97636i | 1.44916 | + | 0.779829i | ||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | 1.95035 | + | 1.57936i | 0.368581 | + | 0.298471i | ||||
\(29\) | 1.55771 | − | 7.32846i | 0.289260 | − | 1.36086i | −0.558070 | − | 0.829794i | \(-0.688458\pi\) |
0.847330 | − | 0.531067i | \(-0.178209\pi\) | |||||||
\(30\) | 0.883297 | − | 0.187751i | 0.161267 | − | 0.0342784i | ||||
\(31\) | 1.67422 | + | 10.5706i | 0.300698 | + | 1.89853i | 0.423152 | + | 0.906059i | \(0.360924\pi\) |
−0.122453 | + | 0.992474i | \(0.539076\pi\) | |||||||
\(32\) | 4.48203 | + | 1.20096i | 0.792318 | + | 0.212301i | ||||
\(33\) | −3.14756 | + | 1.04541i | −0.547919 | + | 0.181983i | ||||
\(34\) | −11.2542 | + | 11.2542i | −1.93008 | + | 1.93008i | ||||
\(35\) | −0.283465 | − | 0.0297934i | −0.0479144 | − | 0.00503600i | ||||
\(36\) | 2.53889 | − | 2.28603i | 0.423149 | − | 0.381005i | ||||
\(37\) | 7.19412 | − | 4.67191i | 1.18271 | − | 0.768058i | 0.205149 | − | 0.978731i | \(-0.434232\pi\) |
0.977557 | + | 0.210673i | \(0.0675654\pi\) | |||||||
\(38\) | 0.169032 | + | 0.232653i | 0.0274207 | + | 0.0377413i | ||||
\(39\) | −2.96377 | + | 2.05330i | −0.474583 | + | 0.328792i | ||||
\(40\) | 1.21646 | − | 0.395253i | 0.192340 | − | 0.0624950i | ||||
\(41\) | 3.87682 | + | 0.203175i | 0.605457 | + | 0.0317307i | 0.352602 | − | 0.935773i | \(-0.385297\pi\) |
0.252855 | + | 0.967504i | \(0.418630\pi\) | |||||||
\(42\) | −1.56180 | + | 0.695358i | −0.240991 | + | 0.107296i | ||||
\(43\) | −1.00736 | − | 1.74480i | −0.153621 | − | 0.266080i | 0.778935 | − | 0.627105i | \(-0.215760\pi\) |
−0.932556 | + | 0.361025i | \(0.882427\pi\) | |||||||
\(44\) | −10.3211 | + | 4.67603i | −1.55597 | + | 0.704938i | ||||
\(45\) | −0.100425 | + | 0.374792i | −0.0149705 | + | 0.0558707i | ||||
\(46\) | −12.9290 | + | 10.4697i | −1.90627 | + | 1.54367i | ||||
\(47\) | 1.17217 | + | 2.30052i | 0.170979 | + | 0.335565i | 0.960556 | − | 0.278086i | \(-0.0897001\pi\) |
−0.789577 | + | 0.613651i | \(0.789700\pi\) | |||||||
\(48\) | 0.561443 | − | 0.623545i | 0.0810373 | − | 0.0900010i | ||||
\(49\) | −6.42500 | + | 0.675295i | −0.917857 | + | 0.0964707i | ||||
\(50\) | 7.10264 | − | 8.77103i | 1.00447 | − | 1.24041i | ||||
\(51\) | −2.11328 | − | 6.50401i | −0.295919 | − | 0.910744i | ||||
\(52\) | −9.33675 | + | 8.03491i | −1.29477 | + | 1.11424i | ||||
\(53\) | −6.57855 | − | 4.77960i | −0.903633 | − | 0.656528i | 0.0357634 | − | 0.999360i | \(-0.488614\pi\) |
−0.939397 | + | 0.342832i | \(0.888614\pi\) | |||||||
\(54\) | 0.602355 | + | 2.24802i | 0.0819701 | + | 0.305916i | ||||
\(55\) | 0.693850 | − | 1.08382i | 0.0935587 | − | 0.146142i | ||||
\(56\) | −2.09709 | + | 1.21075i | −0.280235 | + | 0.161794i | ||||
\(57\) | −0.122044 | + | 0.0193298i | −0.0161651 | + | 0.00256030i | ||||
\(58\) | 14.6237 | + | 9.49671i | 1.92018 | + | 1.24698i | ||||
\(59\) | −0.0202462 | − | 0.386320i | −0.00263583 | − | 0.0502945i | 0.996995 | − | 0.0774666i | \(-0.0246831\pi\) |
−0.999631 | + | 0.0271721i | \(0.991350\pi\) | |||||||
\(60\) | −0.207372 | + | 1.30929i | −0.0267716 | + | 0.169029i | ||||
\(61\) | 4.89698 | − | 10.9988i | 0.626994 | − | 1.40825i | −0.268545 | − | 0.963267i | \(-0.586543\pi\) |
0.895539 | − | 0.444984i | \(-0.146790\pi\) | |||||||
\(62\) | −24.3635 | − | 5.17862i | −3.09417 | − | 0.657685i | ||||
\(63\) | 0.0384449 | − | 0.733573i | 0.00484361 | − | 0.0924215i | ||||
\(64\) | −7.33391 | + | 10.0943i | −0.916739 | + | 1.26178i | ||||
\(65\) | 0.392319 | − | 1.34287i | 0.0486612 | − | 0.166562i | ||||
\(66\) | 0.353770 | − | 7.71073i | 0.0435461 | − | 0.949126i | ||||
\(67\) | 1.98633 | − | 0.532236i | 0.242669 | − | 0.0650230i | −0.135434 | − | 0.990786i | \(-0.543243\pi\) |
0.378104 | + | 0.925763i | \(0.376576\pi\) | |||||||
\(68\) | −9.50296 | − | 21.3440i | −1.15240 | − | 2.58834i | ||||
\(69\) | −1.48622 | − | 6.99213i | −0.178920 | − | 0.841754i | ||||
\(70\) | 0.301154 | − | 0.591047i | 0.0359947 | − | 0.0706437i | ||||
\(71\) | 0.324065 | + | 0.844217i | 0.0384594 | + | 0.100190i | 0.951465 | − | 0.307757i | \(-0.0995782\pi\) |
−0.913006 | + | 0.407947i | \(0.866245\pi\) | |||||||
\(72\) | 1.18134 | + | 3.07750i | 0.139223 | + | 0.362687i | ||||
\(73\) | 3.63899 | − | 7.14193i | 0.425912 | − | 0.835900i | −0.573943 | − | 0.818895i | \(-0.694587\pi\) |
0.999855 | − | 0.0170045i | \(-0.00541296\pi\) | |||||||
\(74\) | 4.15070 | + | 19.5275i | 0.482509 | + | 2.27003i | ||||
\(75\) | 1.97245 | + | 4.43019i | 0.227759 | + | 0.511554i | ||||
\(76\) | −0.407765 | + | 0.109260i | −0.0467738 | + | 0.0125330i | ||||
\(77\) | −0.858271 | + | 2.28014i | −0.0978091 | + | 0.259846i | ||||
\(78\) | −1.98940 | − | 8.15204i | −0.225255 | − | 0.923036i | ||||
\(79\) | 3.61863 | − | 4.98061i | 0.407127 | − | 0.560363i | −0.555387 | − | 0.831592i | \(-0.687430\pi\) |
0.962515 | + | 0.271229i | \(0.0874300\pi\) | |||||||
\(80\) | −0.0170389 | + | 0.325121i | −0.00190501 | + | 0.0363497i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −3.67486 | + | 8.25386i | −0.405820 | + | 0.911487i | ||||
\(83\) | 0.234344 | − | 1.47959i | 0.0257226 | − | 0.162406i | −0.971483 | − | 0.237108i | \(-0.923801\pi\) |
0.997206 | + | 0.0747019i | \(0.0238005\pi\) | |||||||
\(84\) | −0.131344 | − | 2.50619i | −0.0143308 | − | 0.273448i | ||||
\(85\) | 2.22542 | + | 1.44521i | 0.241381 | + | 0.156755i | ||||
\(86\) | 4.63118 | − | 0.733508i | 0.499393 | − | 0.0790962i | ||||
\(87\) | −6.48842 | + | 3.74609i | −0.695632 | + | 0.401623i | ||||
\(88\) | −0.643278 | − | 10.9141i | −0.0685736 | − | 1.16345i | ||||
\(89\) | 3.74345 | + | 13.9708i | 0.396805 | + | 1.48090i | 0.818684 | + | 0.574245i | \(0.194704\pi\) |
−0.421878 | + | 0.906652i | \(0.638629\pi\) | |||||||
\(90\) | −0.730567 | − | 0.530788i | −0.0770085 | − | 0.0559500i | ||||
\(91\) | −0.197929 | + | 2.64116i | −0.0207486 | + | 0.276869i | ||||
\(92\) | −7.54672 | − | 23.2264i | −0.786800 | − | 2.42152i | ||||
\(93\) | 6.73521 | − | 8.31729i | 0.698408 | − | 0.862463i | ||||
\(94\) | −5.97606 | + | 0.628110i | −0.616384 | + | 0.0647846i | ||||
\(95\) | 0.0320813 | − | 0.0356299i | 0.00329148 | − | 0.00365555i | ||||
\(96\) | −2.10658 | − | 4.13439i | −0.215002 | − | 0.421964i | ||||
\(97\) | 10.1344 | − | 8.20669i | 1.02899 | − | 0.833263i | 0.0428378 | − | 0.999082i | \(-0.486360\pi\) |
0.986156 | + | 0.165819i | \(0.0530268\pi\) | |||||||
\(98\) | 3.89145 | − | 14.5231i | 0.393096 | − | 1.46705i | ||||
\(99\) | 2.88302 | + | 1.63957i | 0.289754 | + | 0.164783i | ||||
\(100\) | 8.28386 | + | 14.3481i | 0.828386 | + | 1.43481i | ||||
\(101\) | 3.15354 | − | 1.40405i | 0.313789 | − | 0.139708i | −0.243799 | − | 0.969826i | \(-0.578394\pi\) |
0.557588 | + | 0.830118i | \(0.311727\pi\) | |||||||
\(102\) | 15.8941 | + | 0.832973i | 1.57375 | + | 0.0824766i | ||||
\(103\) | −2.18203 | + | 0.708986i | −0.215002 | + | 0.0698585i | −0.414538 | − | 0.910032i | \(-0.636057\pi\) |
0.199535 | + | 0.979891i | \(0.436057\pi\) | |||||||
\(104\) | −4.00934 | − | 11.1889i | −0.393148 | − | 1.09716i | ||||
\(105\) | 0.167534 | + | 0.230591i | 0.0163497 | + | 0.0225034i | ||||
\(106\) | 15.8716 | − | 10.3071i | 1.54158 | − | 1.00112i | ||||
\(107\) | −3.41864 | + | 3.07816i | −0.330492 | + | 0.297577i | −0.817625 | − | 0.575751i | \(-0.804710\pi\) |
0.487132 | + | 0.873328i | \(0.338043\pi\) | |||||||
\(108\) | −3.39770 | − | 0.357113i | −0.326944 | − | 0.0343632i | ||||
\(109\) | −9.85785 | + | 9.85785i | −0.944210 | + | 0.944210i | −0.998524 | − | 0.0543135i | \(-0.982703\pi\) |
0.0543135 | + | 0.998524i | \(0.482703\pi\) | |||||||
\(110\) | 1.77617 | + | 2.41150i | 0.169351 | + | 0.229928i | ||||
\(111\) | −8.28571 | − | 2.22015i | −0.786445 | − | 0.210727i | ||||
\(112\) | −0.0964197 | − | 0.608770i | −0.00911081 | − | 0.0575234i | ||||
\(113\) | 12.6816 | − | 2.69555i | 1.19298 | − | 0.253576i | 0.431712 | − | 0.902011i | \(-0.357910\pi\) |
0.761270 | + | 0.648435i | \(0.224576\pi\) | |||||||
\(114\) | 0.0597902 | − | 0.281291i | 0.00559987 | − | 0.0263453i | ||||
\(115\) | 2.15553 | + | 1.74552i | 0.201004 | + | 0.162770i | ||||
\(116\) | −20.7079 | + | 15.0452i | −1.92268 | + | 1.39691i | ||||
\(117\) | 3.50905 | + | 0.828584i | 0.324412 | + | 0.0766026i | ||||
\(118\) | 0.856258 | + | 0.278215i | 0.0788250 | + | 0.0256118i | ||||
\(119\) | −4.68992 | − | 1.80029i | −0.429924 | − | 0.165033i | ||||
\(120\) | −1.10770 | − | 0.639533i | −0.101119 | − | 0.0583811i | ||||
\(121\) | −7.46627 | − | 8.07804i | −0.678752 | − | 0.734368i | ||||
\(122\) | 19.8132 | + | 19.8132i | 1.79381 | + | 1.79381i | ||||
\(123\) | −2.44311 | − | 3.01699i | −0.220288 | − | 0.272033i | ||||
\(124\) | 19.9140 | − | 30.6649i | 1.78833 | − | 2.75379i | ||||
\(125\) | −3.40517 | − | 1.73502i | −0.304568 | − | 0.155185i | ||||
\(126\) | 1.56180 | + | 0.695358i | 0.139136 | + | 0.0619474i | ||||
\(127\) | −1.02629 | − | 9.76452i | −0.0910687 | − | 0.866461i | −0.940736 | − | 0.339141i | \(-0.889864\pi\) |
0.849667 | − | 0.527320i | \(-0.176803\pi\) | |||||||
\(128\) | −10.7611 | − | 16.5706i | −0.951153 | − | 1.46465i | ||||
\(129\) | −0.622585 | + | 1.91612i | −0.0548155 | + | 0.168705i | ||||
\(130\) | 2.59049 | + | 1.97241i | 0.227201 | + | 0.172992i | ||||
\(131\) | − | 13.6146i | − | 1.18951i | −0.803907 | − | 0.594756i | \(-0.797249\pi\) | ||
0.803907 | − | 0.594756i | \(-0.202751\pi\) | |||||||
\(132\) | 10.3811 | + | 4.54122i | 0.903563 | + | 0.395262i | ||||
\(133\) | −0.0453841 | + | 0.0786076i | −0.00393530 | + | 0.00681615i | ||||
\(134\) | −0.500263 | + | 4.75969i | −0.0432162 | + | 0.411175i | ||||
\(135\) | 0.345722 | − | 0.176154i | 0.0297550 | − | 0.0151609i | ||||
\(136\) | 22.5126 | − | 1.17984i | 1.93044 | − | 0.101170i | ||||
\(137\) | −4.96626 | + | 1.90637i | −0.424296 | + | 0.162872i | −0.561141 | − | 0.827721i | \(-0.689637\pi\) |
0.136845 | + | 0.990593i | \(0.456304\pi\) | |||||||
\(138\) | 16.4317 | + | 2.60252i | 1.39876 | + | 0.221541i | ||||
\(139\) | −8.66935 | − | 7.80592i | −0.735325 | − | 0.662089i | 0.213840 | − | 0.976869i | \(-0.431403\pi\) |
−0.949165 | + | 0.314779i | \(0.898069\pi\) | |||||||
\(140\) | 0.651579 | + | 0.723652i | 0.0550685 | + | 0.0611597i | ||||
\(141\) | 0.925282 | − | 2.41044i | 0.0779228 | − | 0.202996i | ||||
\(142\) | −2.10455 | −0.176610 | ||||||||
\(143\) | −10.2596 | − | 6.14333i | −0.857951 | − | 0.513731i | ||||
\(144\) | −0.839063 | −0.0699219 | ||||||||
\(145\) | 1.04180 | − | 2.71398i | 0.0865167 | − | 0.225384i | ||||
\(146\) | 12.4825 | + | 13.8632i | 1.03306 | + | 1.14733i | ||||
\(147\) | 4.80101 | + | 4.32285i | 0.395980 | + | 0.356542i | ||||
\(148\) | −28.9452 | − | 4.58447i | −2.37928 | − | 0.376841i | ||||
\(149\) | −3.00486 | + | 1.15346i | −0.246168 | + | 0.0944949i | −0.478324 | − | 0.878184i | \(-0.658755\pi\) |
0.232156 | + | 0.972679i | \(0.425422\pi\) | |||||||
\(150\) | −11.2707 | + | 0.590675i | −0.920252 | + | 0.0482284i | ||||
\(151\) | −20.2986 | + | 10.3426i | −1.65187 | + | 0.841672i | −0.655631 | + | 0.755082i | \(0.727597\pi\) |
−0.996244 | + | 0.0865907i | \(0.972403\pi\) | |||||||
\(152\) | 0.0425771 | − | 0.405094i | 0.00345346 | − | 0.0328575i | ||||
\(153\) | −3.41936 | + | 5.92251i | −0.276439 | + | 0.478806i | ||||
\(154\) | −4.23833 | − | 3.76652i | −0.341534 | − | 0.303515i | ||||
\(155\) | 4.15265i | 0.333549i | ||||||||
\(156\) | 12.2186 | + | 1.56215i | 0.978271 | + | 0.125072i | ||||
\(157\) | −3.40570 | + | 10.4817i | −0.271804 | + | 0.836528i | 0.718243 | + | 0.695793i | \(0.244947\pi\) |
−0.990047 | + | 0.140735i | \(0.955053\pi\) | |||||||
\(158\) | 7.80351 | + | 12.0164i | 0.620814 | + | 0.955970i | ||||
\(159\) | 0.849977 | + | 8.08699i | 0.0674075 | + | 0.641340i | ||||
\(160\) | 1.64478 | + | 0.732302i | 0.130031 | + | 0.0578936i | ||||
\(161\) | −4.67870 | − | 2.38392i | −0.368733 | − | 0.187879i | ||||
\(162\) | 1.26755 | − | 1.95185i | 0.0995881 | − | 0.153352i | ||||
\(163\) | 5.39688 | + | 6.66460i | 0.422717 | + | 0.522012i | 0.943364 | − | 0.331760i | \(-0.107643\pi\) |
−0.520647 | + | 0.853772i | \(0.674309\pi\) | |||||||
\(164\) | −9.37836 | − | 9.37836i | −0.732327 | − | 0.732327i | ||||
\(165\) | −1.26971 | + | 0.209587i | −0.0988470 | + | 0.0163163i | ||||
\(166\) | 3.01931 | + | 1.74320i | 0.234344 | + | 0.135298i | ||||
\(167\) | −1.63850 | − | 0.628963i | −0.126791 | − | 0.0486706i | 0.294145 | − | 0.955761i | \(-0.404965\pi\) |
−0.420936 | + | 0.907090i | \(0.638298\pi\) | |||||||
\(168\) | 2.30299 | + | 0.748286i | 0.177679 | + | 0.0577316i | ||||
\(169\) | −12.5818 | − | 3.27065i | −0.967834 | − | 0.251588i | ||||
\(170\) | −4.99615 | + | 3.62991i | −0.383187 | + | 0.278402i | ||||
\(171\) | 0.0960280 | + | 0.0777619i | 0.00734344 | + | 0.00594660i | ||||
\(172\) | −1.43109 | + | 6.73273i | −0.109119 | + | 0.513366i | ||||
\(173\) | −6.97475 | + | 1.48253i | −0.530281 | + | 0.112715i | −0.465268 | − | 0.885170i | \(-0.654042\pi\) |
−0.0650125 | + | 0.997884i | \(0.520709\pi\) | |||||||
\(174\) | −2.72770 | − | 17.2220i | −0.206787 | − | 1.30560i | ||||
\(175\) | 3.44092 | + | 0.921992i | 0.260109 | + | 0.0696961i | ||||
\(176\) | 2.65220 | + | 0.842698i | 0.199917 | + | 0.0635207i | ||||
\(177\) | −0.273544 | + | 0.273544i | −0.0205608 | + | 0.0205608i | ||||
\(178\) | −33.4770 | − | 3.51857i | −2.50921 | − | 0.263728i | ||||
\(179\) | −9.99866 | + | 9.00283i | −0.747335 | + | 0.672903i | −0.952058 | − | 0.305916i | \(-0.901037\pi\) |
0.204723 | + | 0.978820i | \(0.434371\pi\) | |||||||
\(180\) | 1.11175 | − | 0.721981i | 0.0828652 | − | 0.0538133i | ||||
\(181\) | −0.790617 | − | 1.08819i | −0.0587661 | − | 0.0808846i | 0.778622 | − | 0.627493i | \(-0.215919\pi\) |
−0.837389 | + | 0.546608i | \(0.815919\pi\) | |||||||
\(182\) | −5.57347 | − | 2.63287i | −0.413133 | − | 0.195161i | ||||
\(183\) | −11.4504 | + | 3.72046i | −0.846439 | + | 0.275025i | ||||
\(184\) | 23.5319 | + | 1.23325i | 1.73479 | + | 0.0909166i | ||||
\(185\) | 3.04062 | − | 1.35377i | 0.223551 | − | 0.0995314i | ||||
\(186\) | 12.4539 | + | 21.5708i | 0.913164 | + | 1.58165i | ||||
\(187\) | 16.7564 | − | 15.2863i | 1.22535 | − | 1.11785i | ||||
\(188\) | 2.28303 | − | 8.52039i | 0.166507 | − | 0.621413i | ||||
\(189\) | −0.570876 | + | 0.462286i | −0.0415251 | + | 0.0336264i | ||||
\(190\) | 0.0506576 | + | 0.0994211i | 0.00367509 | + | 0.00721276i | ||||
\(191\) | −14.2453 | + | 15.8210i | −1.03076 | + | 1.14477i | −0.0414161 | + | 0.999142i | \(0.513187\pi\) |
−0.989339 | + | 0.145628i | \(0.953480\pi\) | |||||||
\(192\) | 12.4088 | − | 1.30422i | 0.895531 | − | 0.0941242i | ||||
\(193\) | 10.6194 | − | 13.1139i | 0.764404 | − | 0.943960i | −0.235204 | − | 0.971946i | \(-0.575576\pi\) |
0.999608 | + | 0.0279858i | \(0.00890931\pi\) | |||||||
\(194\) | 9.37852 | + | 28.8641i | 0.673339 | + | 2.07232i | ||||
\(195\) | −1.26046 | + | 0.607003i | −0.0902632 | + | 0.0434684i | ||||
\(196\) | 17.8561 | + | 12.9732i | 1.27544 | + | 0.926660i | ||||
\(197\) | 4.68308 | + | 17.4775i | 0.333656 | + | 1.24522i | 0.905319 | + | 0.424732i | \(0.139632\pi\) |
−0.571664 | + | 0.820488i | \(0.693702\pi\) | |||||||
\(198\) | −5.96691 | + | 4.89659i | −0.424050 | + | 0.347985i | ||||
\(199\) | 10.9061 | − | 6.29664i | 0.773113 | − | 0.446357i | −0.0608708 | − | 0.998146i | \(-0.519388\pi\) |
0.833984 | + | 0.551789i | \(0.186054\pi\) | |||||||
\(200\) | −15.7891 | + | 2.50076i | −1.11646 | + | 0.176830i | ||||
\(201\) | −1.72464 | − | 1.12000i | −0.121647 | − | 0.0789985i | ||||
\(202\) | 0.420459 | + | 8.02284i | 0.0295834 | + | 0.564485i | ||||
\(203\) | −0.860954 | + | 5.43585i | −0.0604271 | + | 0.381522i | ||||
\(204\) | −9.50296 | + | 21.3440i | −0.665340 | + | 1.49438i | ||||
\(205\) | 1.47340 | + | 0.313182i | 0.102907 | + | 0.0218736i | ||||
\(206\) | 0.279455 | − | 5.33231i | 0.0194705 | − | 0.371520i | ||||
\(207\) | −4.20169 | + | 5.78313i | −0.292038 | + | 0.401955i | ||||
\(208\) | 3.02452 | + | 0.0678837i | 0.209713 | + | 0.00470689i | ||||
\(209\) | −0.225436 | − | 0.342242i | −0.0155938 | − | 0.0236734i | ||||
\(210\) | −0.640745 | + | 0.171687i | −0.0442156 | + | 0.0118475i | ||||
\(211\) | 9.81927 | + | 22.0544i | 0.675986 | + | 1.51829i | 0.846190 | + | 0.532881i | \(0.178891\pi\) |
−0.170204 | + | 0.985409i | \(0.554443\pi\) | |||||||
\(212\) | 5.77593 | + | 27.1736i | 0.396693 | + | 1.86629i | ||||
\(213\) | 0.410534 | − | 0.805719i | 0.0281293 | − | 0.0552069i | ||||
\(214\) | −3.83676 | − | 9.99511i | −0.262276 | − | 0.683252i | ||||
\(215\) | −0.280151 | − | 0.729818i | −0.0191061 | − | 0.0497732i | ||||
\(216\) | 1.49656 | − | 2.93716i | 0.101828 | − | 0.199848i | ||||
\(217\) | −1.63455 | − | 7.68993i | −0.110960 | − | 0.522026i | ||||
\(218\) | −13.1967 | − | 29.6403i | −0.893795 | − | 2.00750i | ||||
\(219\) | −7.74245 | + | 2.07458i | −0.523186 | + | 0.140187i | ||||
\(220\) | −4.23926 | + | 1.16554i | −0.285811 | + | 0.0785810i | ||||
\(221\) | 12.8047 | − | 21.0719i | 0.861339 | − | 1.41745i | ||||
\(222\) | 11.7344 | − | 16.1510i | 0.787561 | − | 1.08399i | ||||
\(223\) | 0.0333812 | − | 0.636951i | 0.00223537 | − | 0.0426534i | −0.997284 | − | 0.0736507i | \(-0.976535\pi\) |
0.999519 | + | 0.0309973i | \(0.00986833\pi\) | |||||||
\(224\) | −3.33406 | − | 0.708677i | −0.222766 | − | 0.0473505i | ||||
\(225\) | 1.97245 | − | 4.43019i | 0.131496 | − | 0.295346i | ||||
\(226\) | −4.72016 | + | 29.8019i | −0.313981 | + | 1.98240i | ||||
\(227\) | 1.28928 | + | 24.6009i | 0.0855724 | + | 1.63282i | 0.617883 | + | 0.786270i | \(0.287990\pi\) |
−0.532311 | + | 0.846549i | \(0.678676\pi\) | |||||||
\(228\) | 0.354044 | + | 0.229919i | 0.0234471 | + | 0.0152267i | ||||
\(229\) | −12.4367 | + | 1.96979i | −0.821843 | + | 0.130167i | −0.553174 | − | 0.833066i | \(-0.686584\pi\) |
−0.268668 | + | 0.963233i | \(0.586584\pi\) | |||||||
\(230\) | −5.59034 | + | 3.22759i | −0.368616 | + | 0.212821i | ||||
\(231\) | 2.26877 | − | 0.887893i | 0.149274 | − | 0.0584191i | ||||
\(232\) | −6.39221 | − | 23.8561i | −0.419669 | − | 1.56623i | ||||
\(233\) | 19.8025 | + | 14.3874i | 1.29730 | + | 0.942547i | 0.999925 | − | 0.0122121i | \(-0.00388733\pi\) |
0.297380 | + | 0.954759i | \(0.403887\pi\) | |||||||
\(234\) | −4.72698 | + | 6.93319i | −0.309012 | + | 0.453237i | ||||
\(235\) | 0.309581 | + | 0.952791i | 0.0201948 | + | 0.0621532i | ||||
\(236\) | −0.831735 | + | 1.02711i | −0.0541413 | + | 0.0668590i | ||||
\(237\) | −6.12265 | + | 0.643517i | −0.397709 | + | 0.0418009i | ||||
\(238\) | 7.82313 | − | 8.68847i | 0.507098 | − | 0.563190i | ||||
\(239\) | 11.7603 | + | 23.0809i | 0.760713 | + | 1.49298i | 0.866816 | + | 0.498627i | \(0.166162\pi\) |
−0.106104 | + | 0.994355i | \(0.533838\pi\) | |||||||
\(240\) | 0.253014 | − | 0.204886i | 0.0163320 | − | 0.0132254i | ||||
\(241\) | −0.870198 | + | 3.24762i | −0.0560544 | + | 0.209198i | −0.988273 | − | 0.152698i | \(-0.951204\pi\) |
0.932219 | + | 0.361896i | \(0.117870\pi\) | |||||||
\(242\) | 23.7786 | − | 9.48488i | 1.52855 | − | 0.609711i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −37.5764 | + | 16.7301i | −2.40558 | + | 1.07104i | ||||
\(245\) | −2.50328 | − | 0.131191i | −0.159929 | − | 0.00838152i | ||||
\(246\) | 8.59277 | − | 2.79196i | 0.547855 | − | 0.178009i | ||||
\(247\) | −0.339855 | − | 0.288073i | −0.0216245 | − | 0.0183296i | ||||
\(248\) | 20.7369 | + | 28.5419i | 1.31680 | + | 1.81241i | ||||
\(249\) | −1.25636 | + | 0.815887i | −0.0796183 | + | 0.0517047i | ||||
\(250\) | 6.60979 | − | 5.95148i | 0.418040 | − | 0.376405i | ||||
\(251\) | −10.7244 | − | 1.12718i | −0.676918 | − | 0.0711470i | −0.240170 | − | 0.970731i | \(-0.577203\pi\) |
−0.436748 | + | 0.899584i | \(0.643870\pi\) | |||||||
\(252\) | −1.77458 | + | 1.77458i | −0.111788 | + | 0.111788i | ||||
\(253\) | 19.0893 | − | 14.0600i | 1.20014 | − | 0.883947i | ||||
\(254\) | 22.0717 | + | 5.91410i | 1.38490 | + | 0.371084i | ||||
\(255\) | −0.415101 | − | 2.62085i | −0.0259946 | − | 0.164124i | ||||
\(256\) | 20.5696 | − | 4.37221i | 1.28560 | − | 0.273263i | ||||
\(257\) | 3.68629 | − | 17.3426i | 0.229944 | − | 1.08180i | −0.700011 | − | 0.714132i | \(-0.746822\pi\) |
0.929956 | − | 0.367671i | \(-0.119845\pi\) | |||||||
\(258\) | −3.64397 | − | 2.95083i | −0.226864 | − | 0.183711i | ||||
\(259\) | −5.09780 | + | 3.70377i | −0.316762 | + | 0.230141i | ||||
\(260\) | −4.06589 | + | 2.51254i | −0.252156 | + | 0.155821i | ||||
\(261\) | 7.12549 | + | 2.31521i | 0.441057 | + | 0.143308i | ||||
\(262\) | 29.5809 | + | 11.3551i | 1.82752 | + | 0.701518i | ||||
\(263\) | 2.81213 | + | 1.62358i | 0.173403 | + | 0.100114i | 0.584190 | − | 0.811617i | \(-0.301412\pi\) |
−0.410786 | + | 0.911732i | \(0.634746\pi\) | |||||||
\(264\) | −7.68036 | + | 7.78104i | −0.472693 | + | 0.478890i | ||||
\(265\) | −2.23102 | − | 2.23102i | −0.137051 | − | 0.137051i | ||||
\(266\) | −0.132942 | − | 0.164170i | −0.00815119 | − | 0.0100659i | ||||
\(267\) | 7.87744 | − | 12.1302i | 0.482091 | − | 0.742356i | ||||
\(268\) | −6.25979 | − | 3.18952i | −0.382378 | − | 0.194831i | ||||
\(269\) | −14.8997 | − | 6.63377i | −0.908450 | − | 0.404468i | −0.101329 | − | 0.994853i | \(-0.532309\pi\) |
−0.807122 | + | 0.590385i | \(0.798976\pi\) | |||||||
\(270\) | 0.0943924 | + | 0.898084i | 0.00574454 | + | 0.0546556i | ||||
\(271\) | 1.17754 | + | 1.81325i | 0.0715303 | + | 0.110147i | 0.872625 | − | 0.488390i | \(-0.162416\pi\) |
−0.801095 | + | 0.598537i | \(0.795749\pi\) | |||||||
\(272\) | −1.77318 | + | 5.45728i | −0.107515 | + | 0.330896i | ||||
\(273\) | 2.09520 | − | 1.62019i | 0.126808 | − | 0.0980584i | ||||
\(274\) | − | 12.3804i | − | 0.747925i | ||||||
\(275\) | −10.6841 | + | 12.0224i | −0.644275 | + | 0.724979i | ||||
\(276\) | −12.2109 | + | 21.1498i | −0.735007 | + | 1.27307i | ||||
\(277\) | 2.03692 | − | 19.3800i | 0.122386 | − | 1.16443i | −0.745094 | − | 0.666959i | \(-0.767596\pi\) |
0.867481 | − | 0.497471i | \(-0.165738\pi\) | |||||||
\(278\) | 24.1908 | − | 12.3258i | 1.45087 | − | 0.739254i | ||||
\(279\) | −10.6877 | + | 0.560118i | −0.639855 | + | 0.0335334i | ||||
\(280\) | −0.877170 | + | 0.336714i | −0.0524209 | + | 0.0201225i | ||||
\(281\) | −3.26833 | − | 0.517652i | −0.194972 | − | 0.0308805i | 0.0581846 | − | 0.998306i | \(-0.481469\pi\) |
−0.253157 | + | 0.967425i | \(0.581469\pi\) | |||||||
\(282\) | 4.46554 | + | 4.02079i | 0.265919 | + | 0.239435i | ||||
\(283\) | −2.94748 | − | 3.27351i | −0.175210 | − | 0.194590i | 0.649143 | − | 0.760666i | \(-0.275127\pi\) |
−0.824353 | + | 0.566076i | \(0.808461\pi\) | |||||||
\(284\) | 1.10714 | − | 2.88420i | 0.0656966 | − | 0.171146i | ||||
\(285\) | −0.0479448 | −0.00284001 | ||||||||
\(286\) | 21.9047 | − | 17.1677i | 1.29525 | − | 1.01515i | ||||
\(287\) | −2.85174 | −0.168333 | ||||||||
\(288\) | −1.66288 | + | 4.33194i | −0.0979859 | + | 0.255262i | ||||
\(289\) | 19.9188 | + | 22.1220i | 1.17169 | + | 1.30130i | ||||
\(290\) | 5.02787 | + | 4.52712i | 0.295247 | + | 0.265842i | ||||
\(291\) | −12.8800 | − | 2.03999i | −0.755039 | − | 0.119586i | ||||
\(292\) | −25.5657 | + | 9.81374i | −1.49612 | + | 0.574306i | ||||
\(293\) | 3.80535 | − | 0.199430i | 0.222311 | − | 0.0116508i | 0.0591447 | − | 0.998249i | \(-0.481163\pi\) |
0.163166 | + | 0.986599i | \(0.447829\pi\) | |||||||
\(294\) | −13.3966 | + | 6.82593i | −0.781308 | + | 0.398096i | ||||
\(295\) | 0.0156900 | − | 0.149281i | 0.000913508 | − | 0.00869145i | ||||
\(296\) | 14.1385 | − | 24.4886i | 0.821783 | − | 1.42337i | ||||
\(297\) | −0.710676 | − | 3.23959i | −0.0412376 | − | 0.187980i | ||||
\(298\) | − | 7.49080i | − | 0.433931i | ||||||
\(299\) | 15.6135 | − | 20.5062i | 0.902950 | − | 1.18590i | ||||
\(300\) | 5.11971 | − | 15.7568i | 0.295586 | − | 0.909722i | ||||
\(301\) | 0.806053 | + | 1.24121i | 0.0464602 | + | 0.0715424i | ||||
\(302\) | −5.54211 | − | 52.7297i | −0.318913 | − | 3.03425i | ||||
\(303\) | −3.15354 | − | 1.40405i | −0.181166 | − | 0.0806603i | ||||
\(304\) | 0.0923784 | + | 0.0470692i | 0.00529827 | + | 0.00269960i | ||||
\(305\) | 2.54431 | − | 3.91789i | 0.145687 | − | 0.224338i | ||||
\(306\) | −10.0162 | − | 12.3690i | −0.572588 | − | 0.707087i | ||||
\(307\) | −0.718507 | − | 0.718507i | −0.0410073 | − | 0.0410073i | 0.686306 | − | 0.727313i | \(-0.259231\pi\) |
−0.727313 | + | 0.686306i | \(0.759231\pi\) | |||||||
\(308\) | 7.39153 | − | 3.82700i | 0.421171 | − | 0.218064i | ||||
\(309\) | 1.98695 | + | 1.14716i | 0.113033 | + | 0.0652598i | ||||
\(310\) | −9.02263 | − | 3.46346i | −0.512451 | − | 0.196712i | ||||
\(311\) | −19.9107 | − | 6.46937i | −1.12903 | − | 0.366845i | −0.315824 | − | 0.948818i | \(-0.602281\pi\) |
−0.813208 | + | 0.581973i | \(0.802281\pi\) | |||||||
\(312\) | −5.63218 | + | 10.4663i | −0.318860 | + | 0.592539i | ||||
\(313\) | −16.0059 | + | 11.6289i | −0.904705 | + | 0.657306i | −0.939670 | − | 0.342082i | \(-0.888868\pi\) |
0.0349655 | + | 0.999389i | \(0.488868\pi\) | |||||||
\(314\) | −19.9335 | − | 16.1418i | −1.12491 | − | 0.910934i | ||||
\(315\) | 0.0592604 | − | 0.278798i | 0.00333894 | − | 0.0157085i | ||||
\(316\) | −20.5731 | + | 4.37295i | −1.15733 | + | 0.245998i | ||||
\(317\) | 0.662363 | + | 4.18200i | 0.0372020 | + | 0.234884i | 0.999282 | − | 0.0378824i | \(-0.0120612\pi\) |
−0.962080 | + | 0.272767i | \(0.912061\pi\) | |||||||
\(318\) | −18.2798 | − | 4.89807i | −1.02508 | − | 0.274670i | ||||
\(319\) | −20.1978 | − | 14.4745i | −1.13086 | − | 0.810418i | ||||
\(320\) | −3.42333 | + | 3.42333i | −0.191370 | + | 0.191370i | ||||
\(321\) | 4.57503 | + | 0.480855i | 0.255353 | + | 0.0268387i | ||||
\(322\) | 9.08184 | − | 8.17732i | 0.506111 | − | 0.455704i | ||||
\(323\) | 0.708698 | − | 0.460234i | 0.0394330 | − | 0.0256081i | ||||
\(324\) | 2.00812 | + | 2.76394i | 0.111562 | + | 0.153552i | ||||
\(325\) | −7.46839 | + | 15.8097i | −0.414272 | + | 0.876963i | ||||
\(326\) | −18.9816 | + | 6.16751i | −1.05130 | + | 0.341587i | ||||
\(327\) | 13.9220 | + | 0.729621i | 0.769888 | + | 0.0403481i | ||||
\(328\) | 11.6909 | − | 5.20512i | 0.645522 | − | 0.287405i | ||||
\(329\) | −0.948317 | − | 1.64253i | −0.0522824 | − | 0.0905558i | ||||
\(330\) | 0.603609 | − | 2.93356i | 0.0332276 | − | 0.161487i | ||||
\(331\) | −4.12008 | + | 15.3763i | −0.226460 | + | 0.845160i | 0.755355 | + | 0.655316i | \(0.227465\pi\) |
−0.981814 | + | 0.189843i | \(0.939202\pi\) | |||||||
\(332\) | −3.97735 | + | 3.22080i | −0.218286 | + | 0.176764i | ||||
\(333\) | 3.89433 | + | 7.64306i | 0.213408 | + | 0.418837i | ||||
\(334\) | 2.73314 | − | 3.03546i | 0.149551 | − | 0.166093i | ||||
\(335\) | 0.793541 | − | 0.0834045i | 0.0433558 | − | 0.00455687i | ||||
\(336\) | −0.387887 | + | 0.479001i | −0.0211610 | + | 0.0261316i | ||||
\(337\) | 4.25978 | + | 13.1102i | 0.232045 | + | 0.714161i | 0.997500 | + | 0.0706711i | \(0.0225141\pi\) |
−0.765455 | + | 0.643490i | \(0.777486\pi\) | |||||||
\(338\) | 17.6000 | − | 24.6092i | 0.957313 | − | 1.33857i | ||||
\(339\) | −10.4888 | − | 7.62057i | −0.569674 | − | 0.413892i | ||||
\(340\) | −2.34633 | − | 8.75661i | −0.127247 | − | 0.474894i | ||||
\(341\) | 34.3453 | + | 8.96350i | 1.85990 | + | 0.485401i | ||||
\(342\) | −0.249047 | + | 0.143787i | −0.0134669 | + | 0.00777514i | ||||
\(343\) | 9.76600 | − | 1.54678i | 0.527314 | − | 0.0835184i | ||||
\(344\) | −5.56999 | − | 3.61719i | −0.300314 | − | 0.195026i | ||||
\(345\) | −0.145162 | − | 2.76985i | −0.00781524 | − | 0.149124i | ||||
\(346\) | 2.59605 | − | 16.3908i | 0.139564 | − | 0.881175i | ||||
\(347\) | −4.28396 | + | 9.62193i | −0.229975 | + | 0.516532i | −0.991266 | − | 0.131878i | \(-0.957899\pi\) |
0.761291 | + | 0.648410i | \(0.224566\pi\) | |||||||
\(348\) | 25.0371 | + | 5.32179i | 1.34213 | + | 0.285278i | ||||
\(349\) | 0.904423 | − | 17.2574i | 0.0484127 | − | 0.923769i | −0.861188 | − | 0.508286i | \(-0.830279\pi\) |
0.909601 | − | 0.415483i | \(-0.136387\pi\) | |||||||
\(350\) | −4.87310 | + | 6.70725i | −0.260478 | + | 0.358518i | ||||
\(351\) | −1.73226 | − | 3.16216i | −0.0924610 | − | 0.168784i | ||||
\(352\) | 9.60689 | − | 12.0228i | 0.512049 | − | 0.640816i | ||||
\(353\) | 0.692428 | − | 0.185535i | 0.0368542 | − | 0.00987506i | −0.240345 | − | 0.970688i | \(-0.577261\pi\) |
0.277199 | + | 0.960813i | \(0.410594\pi\) | |||||||
\(354\) | −0.366194 | − | 0.822486i | −0.0194630 | − | 0.0437146i | ||||
\(355\) | 0.0729505 | + | 0.343205i | 0.00387181 | + | 0.0182154i | ||||
\(356\) | 22.4333 | − | 44.0279i | 1.18896 | − | 2.33347i | ||||
\(357\) | 1.80029 | + | 4.68992i | 0.0952816 | + | 0.248217i | ||||
\(358\) | −11.2216 | − | 29.2332i | −0.593078 | − | 1.54502i | ||||
\(359\) | 1.18759 | − | 2.33077i | 0.0626784 | − | 0.123013i | −0.857542 | − | 0.514414i | \(-0.828009\pi\) |
0.920220 | + | 0.391401i | \(0.128009\pi\) | |||||||
\(360\) | 0.265933 | + | 1.25112i | 0.0140159 | + | 0.0659396i | ||||
\(361\) | 7.72179 | + | 17.3434i | 0.406410 | + | 0.912811i | ||||
\(362\) | 3.02376 | − | 0.810214i | 0.158925 | − | 0.0425839i | ||||
\(363\) | −1.00725 | + | 10.9538i | −0.0528667 | + | 0.574925i | ||||
\(364\) | 6.54028 | − | 6.25314i | 0.342804 | − | 0.327754i | ||||
\(365\) | 1.82810 | − | 2.51616i | 0.0956871 | − | 0.131702i | ||||
\(366\) | 1.46646 | − | 27.9818i | 0.0766532 | − | 1.46263i | ||||
\(367\) | −0.492550 | − | 0.104695i | −0.0257109 | − | 0.00546502i | 0.195038 | − | 0.980796i | \(-0.437517\pi\) |
−0.220749 | + | 0.975331i | \(0.570850\pi\) | |||||||
\(368\) | −2.43957 | + | 5.47936i | −0.127171 | + | 0.285632i | ||||
\(369\) | −0.607300 | + | 3.83434i | −0.0316148 | + | 0.199608i | ||||
\(370\) | 0.405405 | + | 7.73558i | 0.0210760 | + | 0.402154i | ||||
\(371\) | 5.00960 | + | 3.25327i | 0.260085 | + | 0.168901i | ||||
\(372\) | −36.1135 | + | 5.71982i | −1.87240 | + | 0.296559i | ||||
\(373\) | −1.49551 | + | 0.863431i | −0.0774344 | + | 0.0447068i | −0.538217 | − | 0.842806i | \(-0.680902\pi\) |
0.460783 | + | 0.887513i | \(0.347569\pi\) | |||||||
\(374\) | 19.2377 | + | 49.1567i | 0.994757 | + | 2.54183i | ||||
\(375\) | 0.989133 | + | 3.69149i | 0.0510786 | + | 0.190628i | ||||
\(376\) | 6.88572 | + | 5.00277i | 0.355104 | + | 0.257998i | ||||
\(377\) | −25.4975 | − | 8.92200i | −1.31319 | − | 0.459506i | ||||
\(378\) | −0.528296 | − | 1.62593i | −0.0271726 | − | 0.0836287i | ||||
\(379\) | 12.8554 | − | 15.8751i | 0.660339 | − | 0.815451i | −0.331431 | − | 0.943479i | \(-0.607532\pi\) |
0.991770 | + | 0.128028i | \(0.0408649\pi\) | |||||||
\(380\) | −0.162902 | + | 0.0171217i | −0.00835670 | + | 0.000878325i | ||||
\(381\) | −6.56973 | + | 7.29642i | −0.336577 | + | 0.373807i | ||||
\(382\) | −22.4939 | − | 44.1467i | −1.15089 | − | 2.25874i | ||||
\(383\) | 21.3729 | − | 17.3074i | 1.09210 | − | 0.884369i | 0.0982610 | − | 0.995161i | \(-0.468672\pi\) |
0.993844 | + | 0.110792i | \(0.0353387\pi\) | |||||||
\(384\) | −5.11379 | + | 19.0849i | −0.260962 | + | 0.973923i | ||||
\(385\) | −0.467322 | + | 0.821737i | −0.0238169 | + | 0.0418796i | ||||
\(386\) | 19.6361 | + | 34.0108i | 0.999452 | + | 1.73110i | ||||
\(387\) | 1.84054 | − | 0.819463i | 0.0935601 | − | 0.0416557i | ||||
\(388\) | −44.4909 | − | 2.33167i | −2.25868 | − | 0.118373i | ||||
\(389\) | 15.6128 | − | 5.07292i | 0.791602 | − | 0.257207i | 0.114816 | − | 0.993387i | \(-0.463372\pi\) |
0.676786 | + | 0.736180i | \(0.263372\pi\) | |||||||
\(390\) | −0.267592 | − | 3.24491i | −0.0135501 | − | 0.164312i | ||||
\(391\) | 28.7342 | + | 39.5492i | 1.45315 | + | 2.00009i | ||||
\(392\) | −17.8606 | + | 11.5988i | −0.902098 | + | 0.585830i | ||||
\(393\) | −10.1176 | + | 9.10993i | −0.510366 | + | 0.459535i | ||||
\(394\) | −41.8799 | − | 4.40175i | −2.10988 | − | 0.221757i | ||||
\(395\) | 1.68911 | − | 1.68911i | 0.0849881 | − | 0.0849881i | ||||
\(396\) | −3.57156 | − | 10.7534i | −0.179478 | − | 0.540377i | ||||
\(397\) | −13.2305 | − | 3.54511i | −0.664022 | − | 0.177924i | −0.0889615 | − | 0.996035i | \(-0.528355\pi\) |
−0.575060 | + | 0.818111i | \(0.695021\pi\) | |||||||
\(398\) | 4.58487 | + | 28.9478i | 0.229819 | + | 1.45102i | ||||
\(399\) | 0.0887848 | − | 0.0188718i | 0.00444480 | − | 0.000944771i | ||||
\(400\) | 0.845991 | − | 3.98007i | 0.0422995 | − | 0.199004i | ||||
\(401\) | 18.4549 | + | 14.9445i | 0.921595 | + | 0.746293i | 0.967558 | − | 0.252651i | \(-0.0813023\pi\) |
−0.0459630 | + | 0.998943i | \(0.514636\pi\) | |||||||
\(402\) | 3.87188 | − | 2.81309i | 0.193112 | − | 0.140304i | ||||
\(403\) | 38.5706 | − | 1.15435i | 1.92134 | − | 0.0575021i | ||||
\(404\) | −11.2162 | − | 3.64436i | −0.558026 | − | 0.181314i | ||||
\(405\) | −0.362242 | − | 0.139052i | −0.0179999 | − | 0.00690952i | ||||
\(406\) | −11.0926 | − | 6.40433i | −0.550517 | − | 0.317841i | ||||
\(407\) | −4.63345 | − | 28.0702i | −0.229671 | − | 1.39139i | ||||
\(408\) | −15.9407 | − | 15.9407i | −0.789181 | − | 0.789181i | ||||
\(409\) | −3.69383 | − | 4.56150i | −0.182648 | − | 0.225552i | 0.677596 | − | 0.735435i | \(-0.263022\pi\) |
−0.860244 | + | 0.509883i | \(0.829689\pi\) | |||||||
\(410\) | −1.90934 | + | 2.94012i | −0.0942954 | + | 0.145202i | ||||
\(411\) | 4.73978 | + | 2.41504i | 0.233796 | + | 0.119125i | ||||
\(412\) | 7.16071 | + | 3.18815i | 0.352783 | + | 0.157069i | ||||
\(413\) | 0.0297041 | + | 0.282615i | 0.00146164 | + | 0.0139066i | ||||
\(414\) | −9.06087 | − | 13.9525i | −0.445318 | − | 0.685729i | ||||
\(415\) | 0.179618 | − | 0.552807i | 0.00881710 | − | 0.0271362i | ||||
\(416\) | 6.34454 | − | 15.4806i | 0.311067 | − | 0.758997i | ||||
\(417\) | 11.6658i | 0.571275i | ||||||||
\(418\) | 0.931625 | − | 0.204372i | 0.0455673 | − | 0.00999619i | ||||
\(419\) | −5.49436 | + | 9.51652i | −0.268417 | + | 0.464912i | −0.968453 | − | 0.249195i | \(-0.919834\pi\) |
0.700036 | + | 0.714108i | \(0.253167\pi\) | |||||||
\(420\) | 0.101787 | − | 0.968435i | 0.00496668 | − | 0.0472548i | ||||
\(421\) | −23.0824 | + | 11.7611i | −1.12497 | + | 0.573200i | −0.914575 | − | 0.404417i | \(-0.867474\pi\) |
−0.210393 | + | 0.977617i | \(0.567474\pi\) | |||||||
\(422\) | −56.1082 | + | 2.94050i | −2.73130 | + | 0.143142i | ||||
\(423\) | −2.41044 | + | 0.925282i | −0.117200 | + | 0.0449887i | ||||
\(424\) | −26.4752 | − | 4.19326i | −1.28575 | − | 0.203643i | ||||
\(425\) | −24.6457 | − | 22.1911i | −1.19549 | − | 1.07642i | ||||
\(426\) | 1.40822 | + | 1.56398i | 0.0682283 | + | 0.0757752i | ||||
\(427\) | −3.16944 | + | 8.25668i | −0.153380 | + | 0.399569i | ||||
\(428\) | 15.7163 | 0.759676 | ||||||||
\(429\) | 2.29964 | + | 11.7351i | 0.111027 | + | 0.566574i | ||||
\(430\) | 1.81936 | 0.0877373 | ||||||||
\(431\) | −3.04855 | + | 7.94174i | −0.146843 | + | 0.382540i | −0.987199 | − | 0.159496i | \(-0.949013\pi\) |
0.840355 | + | 0.542036i | \(0.182346\pi\) | |||||||
\(432\) | 0.561443 | + | 0.623545i | 0.0270124 | + | 0.0300003i | ||||
\(433\) | 25.6405 | + | 23.0868i | 1.23220 | + | 1.10948i | 0.990266 | + | 0.139190i | \(0.0444500\pi\) |
0.241939 | + | 0.970291i | \(0.422217\pi\) | |||||||
\(434\) | 18.0715 | + | 2.86224i | 0.867459 | + | 0.137392i | ||||
\(435\) | −2.71398 | + | 1.04180i | −0.130125 | + | 0.0499505i | ||||
\(436\) | 47.5633 | − | 2.49269i | 2.27787 | − | 0.119378i | ||||
\(437\) | 0.787012 | − | 0.401003i | 0.0376479 | − | 0.0191826i | ||||
\(438\) | 1.94996 | − | 18.5526i | 0.0931726 | − | 0.886478i | ||||
\(439\) | 16.5570 | − | 28.6776i | 0.790223 | − | 1.36871i | −0.135605 | − | 0.990763i | \(-0.543298\pi\) |
0.925829 | − | 0.377944i | \(-0.123369\pi\) | |||||||
\(440\) | 0.415947 | − | 4.22174i | 0.0198295 | − | 0.201264i | ||||
\(441\) | − | 6.46039i | − | 0.307638i | ||||||
\(442\) | 35.1041 | + | 45.3961i | 1.66973 | + | 2.15927i | ||||
\(443\) | −9.19734 | + | 28.3065i | −0.436979 | + | 1.34488i | 0.454066 | + | 0.890968i | \(0.349973\pi\) |
−0.891045 | + | 0.453915i | \(0.850027\pi\) | |||||||
\(444\) | 15.9612 | + | 24.5781i | 0.757485 | + | 1.16642i | ||||
\(445\) | 0.586621 | + | 5.58132i | 0.0278085 | + | 0.264580i | ||||
\(446\) | 1.35609 | + | 0.603770i | 0.0642127 | + | 0.0285893i | ||||
\(447\) | 2.86783 | + | 1.46123i | 0.135644 | + | 0.0691139i | ||||
\(448\) | 4.99189 | − | 7.68683i | 0.235845 | − | 0.363169i | ||||
\(449\) | 17.7179 | + | 21.8798i | 0.836158 | + | 1.03257i | 0.998946 | + | 0.0459082i | \(0.0146182\pi\) |
−0.162788 | + | 0.986661i | \(0.552049\pi\) | |||||||
\(450\) | 7.98055 | + | 7.98055i | 0.376207 | + | 0.376207i | ||||
\(451\) | 5.77057 | − | 11.5101i | 0.271726 | − | 0.541988i | ||||
\(452\) | −38.3592 | − | 22.1467i | −1.80427 | − | 1.04169i | ||||
\(453\) | 21.2685 | + | 8.16420i | 0.999280 | + | 0.383588i | ||||
\(454\) | −54.5267 | − | 17.7168i | −2.55906 | − | 0.831490i | ||||
\(455\) | −0.236168 | + | 1.00017i | −0.0110717 | + | 0.0468889i | ||||
\(456\) | −0.329533 | + | 0.239420i | −0.0154318 | + | 0.0112119i | ||||
\(457\) | −8.03582 | − | 6.50728i | −0.375900 | − | 0.304398i | 0.422689 | − | 0.906275i | \(-0.361086\pi\) |
−0.798589 | + | 0.601877i | \(0.794420\pi\) | |||||||
\(458\) | 6.09286 | − | 28.6647i | 0.284701 | − | 1.33941i | ||||
\(459\) | 6.68928 | − | 1.42185i | 0.312229 | − | 0.0663663i | ||||
\(460\) | −1.48236 | − | 9.35928i | −0.0691156 | − | 0.436379i | ||||
\(461\) | −27.4821 | − | 7.36381i | −1.27997 | − | 0.342967i | −0.446127 | − | 0.894969i | \(-0.647197\pi\) |
−0.833842 | + | 0.552003i | \(0.813864\pi\) | |||||||
\(462\) | 0.0369223 | + | 5.66999i | 0.00171778 | + | 0.263792i | ||||
\(463\) | −20.4439 | + | 20.4439i | −0.950109 | + | 0.950109i | −0.998813 | − | 0.0487045i | \(-0.984491\pi\) |
0.0487045 | + | 0.998813i | \(0.484491\pi\) | |||||||
\(464\) | 6.25198 | + | 0.657109i | 0.290241 | + | 0.0305055i | ||||
\(465\) | 3.08602 | − | 2.77867i | 0.143111 | − | 0.128858i | ||||
\(466\) | −47.7760 | + | 31.0261i | −2.21318 | + | 1.43726i | ||||
\(467\) | 9.68061 | + | 13.3242i | 0.447965 | + | 0.616572i | 0.971959 | − | 0.235151i | \(-0.0755584\pi\) |
−0.523993 | + | 0.851722i | \(0.675558\pi\) | |||||||
\(468\) | −7.01494 | − | 10.1255i | −0.324266 | − | 0.468050i | ||||
\(469\) | −1.43666 | + | 0.466799i | −0.0663387 | + | 0.0215548i | ||||
\(470\) | −2.32837 | − | 0.122025i | −0.107400 | − | 0.00562858i | ||||
\(471\) | 10.0683 | − | 4.48267i | 0.463921 | − | 0.206551i | ||||
\(472\) | −0.637616 | − | 1.10438i | −0.0293486 | − | 0.0508333i | ||||
\(473\) | −6.64080 | + | 0.741728i | −0.305344 | + | 0.0341047i | ||||
\(474\) | 3.70832 | − | 13.8396i | 0.170329 | − | 0.635676i | ||||
\(475\) | −0.465682 | + | 0.377102i | −0.0213670 | + | 0.0173026i | ||||
\(476\) | 7.79168 | + | 15.2920i | 0.357131 | + | 0.700909i | ||||
\(477\) | 5.44106 | − | 6.04291i | 0.249129 | − | 0.276686i | ||||
\(478\) | −59.9574 | + | 6.30178i | −2.74239 | + | 0.288237i | ||||
\(479\) | 9.39746 | − | 11.6049i | 0.429381 | − | 0.530241i | −0.515835 | − | 0.856688i | \(-0.672518\pi\) |
0.945216 | + | 0.326447i | \(0.105851\pi\) | |||||||
\(480\) | −0.556364 | − | 1.71231i | −0.0253944 | − | 0.0781561i | ||||
\(481\) | −13.4193 | − | 27.8656i | −0.611868 | − | 1.27056i | ||||
\(482\) | −6.33046 | − | 4.59935i | −0.288345 | − | 0.209495i | ||||
\(483\) | 1.35907 | + | 5.07210i | 0.0618396 | + | 0.230789i | ||||
\(484\) | 0.489420 | + | 37.5774i | 0.0222463 | + | 1.70806i | ||||
\(485\) | 4.38201 | − | 2.52995i | 0.198977 | − | 0.114879i | ||||
\(486\) | −2.29867 | + | 0.364073i | −0.104270 | + | 0.0165147i | ||||
\(487\) | −25.7875 | − | 16.7466i | −1.16855 | − | 0.758862i | −0.193551 | − | 0.981090i | \(-0.562000\pi\) |
−0.974995 | + | 0.222228i | \(0.928667\pi\) | |||||||
\(488\) | −2.07712 | − | 39.6338i | −0.0940268 | − | 1.79414i | ||||
\(489\) | 1.34154 | − | 8.47015i | 0.0606666 | − | 0.383034i | ||||
\(490\) | 2.37287 | − | 5.32956i | 0.107196 | − | 0.240765i | ||||
\(491\) | −35.2364 | − | 7.48973i | −1.59020 | − | 0.338007i | −0.673999 | − | 0.738732i | \(-0.735425\pi\) |
−0.916198 | + | 0.400725i | \(0.868758\pi\) | |||||||
\(492\) | −0.694132 | + | 13.2448i | −0.0312939 | + | 0.597123i | ||||
\(493\) | 30.1163 | − | 41.4516i | 1.35637 | − | 1.86688i | ||||
\(494\) | 0.909359 | − | 0.498154i | 0.0409140 | − | 0.0224130i | ||||
\(495\) | 1.00536 | + | 0.803339i | 0.0451874 | + | 0.0361074i | ||||
\(496\) | −8.67396 | + | 2.32418i | −0.389472 | + | 0.104359i | ||||
\(497\) | −0.270181 | − | 0.606836i | −0.0121193 | − | 0.0272203i | ||||
\(498\) | −0.724863 | − | 3.41021i | −0.0324819 | − | 0.152815i | ||||
\(499\) | 13.1613 | − | 25.8304i | 0.589179 | − | 1.15633i | −0.383362 | − | 0.923598i | \(-0.625234\pi\) |
0.972541 | − | 0.232731i | \(-0.0747662\pi\) | |||||||
\(500\) | 4.67905 | + | 12.1894i | 0.209254 | + | 0.545125i | ||||
\(501\) | 0.628963 | + | 1.63850i | 0.0281000 | + | 0.0732030i | ||||
\(502\) | 11.3936 | − | 22.3612i | 0.508522 | − | 0.998031i | ||||
\(503\) | −1.77125 | − | 8.33308i | −0.0789762 | − | 0.371554i | 0.920855 | − | 0.389904i | \(-0.127492\pi\) |
−0.999832 | + | 0.0183505i | \(0.994159\pi\) | |||||||
\(504\) | −0.984915 | − | 2.21216i | −0.0438716 | − | 0.0985372i | ||||
\(505\) | 1.29377 | − | 0.346666i | 0.0575722 | − | 0.0154264i | ||||
\(506\) | 14.6276 | + | 53.2027i | 0.650276 | + | 2.36515i | ||||
\(507\) | 5.98834 | + | 11.5386i | 0.265951 | + | 0.512448i | ||||
\(508\) | −19.7163 | + | 27.1372i | −0.874770 | + | 1.20402i | ||||
\(509\) | 0.672433 | − | 12.8308i | 0.0298051 | − | 0.568715i | −0.942386 | − | 0.334527i | \(-0.891424\pi\) |
0.972191 | − | 0.234188i | \(-0.0752431\pi\) | |||||||
\(510\) | 6.04062 | + | 1.28397i | 0.267483 | + | 0.0568553i | ||||
\(511\) | −2.39490 | + | 5.37903i | −0.105944 | + | 0.237954i | ||||
\(512\) | −1.47443 | + | 9.30919i | −0.0651612 | + | 0.411412i | ||||
\(513\) | −0.00646689 | − | 0.123396i | −0.000285520 | − | 0.00544805i | ||||
\(514\) | 34.6065 | + | 22.4737i | 1.52643 | + | 0.991274i | ||||
\(515\) | −0.879269 | + | 0.139263i | −0.0387452 | + | 0.00613664i | ||||
\(516\) | 5.96098 | − | 3.44157i | 0.262417 | − | 0.151507i | ||||
\(517\) | 8.54847 | − | 0.503845i | 0.375961 | − | 0.0221591i | ||||
\(518\) | −3.79557 | − | 14.1653i | −0.166768 | − | 0.622386i | ||||
\(519\) | 5.76875 | + | 4.19125i | 0.253220 | + | 0.183975i | ||||
\(520\) | −0.857373 | − | 4.53134i | −0.0375983 | − | 0.198712i | ||||
\(521\) | −1.96307 | − | 6.04171i | −0.0860036 | − | 0.264692i | 0.898801 | − | 0.438356i | \(-0.144439\pi\) |
−0.984805 | + | 0.173664i | \(0.944439\pi\) | |||||||
\(522\) | −10.9733 | + | 13.5509i | −0.480287 | + | 0.593105i | ||||
\(523\) | −21.3216 | + | 2.24099i | −0.932329 | + | 0.0979918i | −0.558499 | − | 0.829505i | \(-0.688623\pi\) |
−0.373831 | + | 0.927497i | \(0.621956\pi\) | |||||||
\(524\) | −31.1233 | + | 34.5659i | −1.35963 | + | 1.51002i | ||||
\(525\) | −1.61725 | − | 3.17404i | −0.0705827 | − | 0.138526i | ||||
\(526\) | −5.87304 | + | 4.75589i | −0.256077 | + | 0.207367i | ||||
\(527\) | −18.9431 | + | 70.6965i | −0.825173 | + | 3.07959i | ||||
\(528\) | −1.14842 | − | 2.53484i | −0.0499786 | − | 0.110315i | ||||
\(529\) | 14.0494 | + | 24.3343i | 0.610843 | + | 1.05801i | ||||
\(530\) | 6.70819 | − | 2.98668i | 0.291385 | − | 0.129733i | ||||
\(531\) | 0.386320 | + | 0.0202462i | 0.0167648 | + | 0.000878608i | ||||
\(532\) | 0.294925 | − | 0.0958268i | 0.0127866 | − | 0.00415462i | ||||
\(533\) | 2.49932 | − | 13.7723i | 0.108257 | − | 0.596545i | ||||
\(534\) | 19.7857 | + | 27.2326i | 0.856210 | + | 1.17847i | ||||
\(535\) | −1.49699 | + | 0.972154i | −0.0647204 | + | 0.0420299i | ||||
\(536\) | 5.03765 | − | 4.53592i | 0.217594 | − | 0.195922i | ||||
\(537\) | 13.3808 | + | 1.40638i | 0.577425 | + | 0.0606898i | ||||
\(538\) | 26.8404 | − | 26.8404i | 1.15717 | − | 1.15717i | ||||
\(539\) | −6.48838 | + | 20.4207i | −0.279474 | + | 0.879581i | ||||
\(540\) | −1.28045 | − | 0.343094i | −0.0551016 | − | 0.0147644i | ||||
\(541\) | −2.76196 | − | 17.4383i | −0.118746 | − | 0.749732i | −0.973158 | − | 0.230137i | \(-0.926083\pi\) |
0.854413 | − | 0.519595i | \(-0.173917\pi\) | |||||||
\(542\) | −4.92183 | + | 1.04617i | −0.211411 | + | 0.0449367i | ||||
\(543\) | −0.279658 | + | 1.31569i | −0.0120013 | + | 0.0564615i | ||||
\(544\) | 24.6608 | + | 19.9700i | 1.05733 | + | 0.856205i | ||||
\(545\) | −4.37624 | + | 3.17953i | −0.187458 | + | 0.136196i | ||||
\(546\) | 1.77277 | + | 5.90363i | 0.0758677 | + | 0.252652i | ||||
\(547\) | −4.81797 | − | 1.56545i | −0.206002 | − | 0.0669340i | 0.204199 | − | 0.978929i | \(-0.434541\pi\) |
−0.410200 | + | 0.911996i | \(0.634541\pi\) | |||||||
\(548\) | 16.9668 | + | 6.51294i | 0.724786 | + | 0.278219i | ||||
\(549\) | 10.4267 | + | 6.01984i | 0.444999 | + | 0.256920i | ||||
\(550\) | −17.2106 | − | 33.2409i | −0.733864 | − | 1.41740i | ||||
\(551\) | −0.654619 | − | 0.654619i | −0.0278877 | − | 0.0278877i | ||||
\(552\) | −14.8294 | − | 18.3128i | −0.631181 | − | 0.779444i | ||||
\(553\) | −2.46305 | + | 3.79276i | −0.104739 | + | 0.161285i | ||||
\(554\) | 40.4088 | + | 20.5893i | 1.71680 | + | 0.874755i | ||||
\(555\) | −3.04062 | − | 1.35377i | −0.129067 | − | 0.0574645i | ||||
\(556\) | 4.16599 | + | 39.6368i | 0.176677 | + | 1.68097i | ||||
\(557\) | 13.2128 | + | 20.3460i | 0.559846 | + | 0.862088i | 0.999346 | − | 0.0361549i | \(-0.0115110\pi\) |
−0.439500 | + | 0.898243i | \(0.644844\pi\) | |||||||
\(558\) | 7.69693 | − | 23.6887i | 0.325837 | − | 1.00282i | ||||
\(559\) | −6.70081 | + | 2.80497i | −0.283414 | + | 0.118637i | ||||
\(560\) | − | 0.239155i | − | 0.0101062i | ||||||
\(561\) | −22.5722 | − | 2.22392i | −0.952998 | − | 0.0938941i | ||||
\(562\) | 3.85063 | − | 6.66948i | 0.162429 | − | 0.281335i | ||||
\(563\) | 1.55143 | − | 14.7609i | 0.0653852 | − | 0.622098i | −0.911935 | − | 0.410334i | \(-0.865412\pi\) |
0.977321 | − | 0.211765i | \(-0.0679211\pi\) | |||||||
\(564\) | −7.85953 | + | 4.00463i | −0.330946 | + | 0.168625i | ||||
\(565\) | 5.02365 | − | 0.263279i | 0.211347 | − | 0.0110762i | ||||
\(566\) | 9.57079 | − | 3.67388i | 0.402290 | − | 0.154425i | ||||
\(567\) | 0.725536 | + | 0.114914i | 0.0304696 | + | 0.00482592i | ||||
\(568\) | 2.21525 | + | 1.99462i | 0.0929498 | + | 0.0836924i | ||||
\(569\) | −14.2324 | − | 15.8067i | −0.596654 | − | 0.662652i | 0.366870 | − | 0.930272i | \(-0.380429\pi\) |
−0.963524 | + | 0.267621i | \(0.913763\pi\) | |||||||
\(570\) | 0.0399877 | − | 0.104172i | 0.00167490 | − | 0.00436327i | ||||
\(571\) | 6.83600 | 0.286078 | 0.143039 | − | 0.989717i | \(-0.454313\pi\) | ||||
0.143039 | + | 0.989717i | \(0.454313\pi\) | |||||||
\(572\) | 12.0042 | + | 39.0510i | 0.501921 | + | 1.63280i | ||||
\(573\) | 21.2893 | 0.889373 | ||||||||
\(574\) | 2.37846 | − | 6.19609i | 0.0992748 | − | 0.258620i | ||||
\(575\) | −23.1957 | − | 25.7615i | −0.967329 | − | 1.07433i | ||||
\(576\) | −9.27237 | − | 8.34888i | −0.386349 | − | 0.347870i | ||||
\(577\) | 4.82006 | + | 0.763423i | 0.200662 | + | 0.0317817i | 0.255956 | − | 0.966688i | \(-0.417610\pi\) |
−0.0552943 | + | 0.998470i | \(0.517610\pi\) | |||||||
\(578\) | −64.6784 | + | 24.8277i | −2.69026 | + | 1.03270i | ||||
\(579\) | −16.8513 | + | 0.883141i | −0.700317 | + | 0.0367021i | ||||
\(580\) | −8.84925 | + | 4.50892i | −0.367445 | + | 0.187223i | ||||
\(581\) | −0.115026 | + | 1.09440i | −0.00477207 | + | 0.0454032i | ||||
\(582\) | 15.1748 | − | 26.2835i | 0.629014 | − | 1.08948i | ||||
\(583\) | −23.2677 | + | 13.6364i | −0.963652 | + | 0.564763i | ||||
\(584\) | − | 26.4229i | − | 1.09339i | ||||||
\(585\) | 1.29450 | + | 0.530538i | 0.0535211 | + | 0.0219350i | ||||
\(586\) | −2.74049 | + | 8.43437i | −0.113209 | + | 0.348420i | ||||
\(587\) | −8.80375 | − | 13.5566i | −0.363370 | − | 0.559540i | 0.608946 | − | 0.793212i | \(-0.291593\pi\) |
−0.972316 | + | 0.233672i | \(0.924926\pi\) | |||||||
\(588\) | −2.30709 | − | 21.9505i | −0.0951427 | − | 0.905222i | ||||
\(589\) | 1.20810 | + | 0.537883i | 0.0497791 | + | 0.0221631i | ||||
\(590\) | 0.311262 | + | 0.158596i | 0.0128144 | + | 0.00652929i | ||||
\(591\) | 9.85471 | − | 15.1749i | 0.405369 | − | 0.624213i | ||||
\(592\) | 4.52952 | + | 5.59350i | 0.186162 | + | 0.229891i | ||||
\(593\) | −26.5065 | − | 26.5065i | −1.08849 | − | 1.08849i | −0.995684 | − | 0.0928085i | \(-0.970416\pi\) |
−0.0928085 | − | 0.995684i | \(-0.529584\pi\) | |||||||
\(594\) | 7.63151 | + | 1.15782i | 0.313125 | + | 0.0475061i | ||||
\(595\) | −1.68807 | − | 0.974609i | −0.0692042 | − | 0.0399551i | ||||
\(596\) | 10.2658 | + | 3.94069i | 0.420505 | + | 0.161417i | ||||
\(597\) | −11.9769 | − | 3.89154i | −0.490183 | − | 0.159270i | ||||
\(598\) | 31.5324 | + | 51.0269i | 1.28946 | + | 2.08665i | ||||
\(599\) | −8.78255 | + | 6.38090i | −0.358845 | + | 0.260716i | −0.752570 | − | 0.658512i | \(-0.771186\pi\) |
0.393725 | + | 0.919228i | \(0.371186\pi\) | |||||||
\(600\) | 12.4234 | + | 10.0603i | 0.507184 | + | 0.410710i | ||||
\(601\) | −0.110317 | + | 0.519000i | −0.00449992 | + | 0.0211704i | −0.980340 | − | 0.197314i | \(-0.936778\pi\) |
0.975840 | + | 0.218485i | \(0.0701114\pi\) | |||||||
\(602\) | −3.36911 | + | 0.716127i | −0.137315 | + | 0.0291872i | ||||
\(603\) | 0.321692 | + | 2.03109i | 0.0131003 | + | 0.0827122i | ||||
\(604\) | 75.1795 | + | 20.1443i | 3.05901 | + | 0.819659i | ||||
\(605\) | −2.37102 | − | 3.54899i | −0.0963956 | − | 0.144287i | ||||
\(606\) | 5.68079 | − | 5.68079i | 0.230766 | − | 0.230766i | ||||
\(607\) | 27.7930 | + | 2.92117i | 1.12809 | + | 0.118567i | 0.650134 | − | 0.759820i | \(-0.274713\pi\) |
0.477951 | + | 0.878386i | \(0.341380\pi\) | |||||||
\(608\) | 0.426088 | − | 0.383651i | 0.0172801 | − | 0.0155591i | ||||
\(609\) | 4.61571 | − | 2.99748i | 0.187038 | − | 0.121464i | ||||
\(610\) | 6.39052 | + | 8.79579i | 0.258744 | + | 0.356131i | ||||
\(611\) | 8.76364 | − | 3.14030i | 0.354539 | − | 0.127043i | ||||
\(612\) | 22.2204 | − | 7.21985i | 0.898206 | − | 0.291845i | ||||
\(613\) | −5.83830 | − | 0.305972i | −0.235807 | − | 0.0123581i | −0.0659334 | − | 0.997824i | \(-0.521002\pi\) |
−0.169873 | + | 0.985466i | \(0.554336\pi\) | |||||||
\(614\) | 2.16039 | − | 0.961867i | 0.0871862 | − | 0.0388178i | ||||
\(615\) | −0.753161 | − | 1.30451i | −0.0303704 | − | 0.0526030i | ||||
\(616\) | 0.891485 | + | 7.98159i | 0.0359189 | + | 0.321588i | ||||
\(617\) | 5.15080 | − | 19.2230i | 0.207363 | − | 0.773891i | −0.781353 | − | 0.624090i | \(-0.785470\pi\) |
0.988716 | − | 0.149801i | \(-0.0478633\pi\) | |||||||
\(618\) | −4.14967 | + | 3.36034i | −0.166924 | + | 0.135173i | ||||
\(619\) | 20.6375 | + | 40.5033i | 0.829490 | + | 1.62797i | 0.777132 | + | 0.629337i | \(0.216674\pi\) |
0.0523578 | + | 0.998628i | \(0.483326\pi\) | |||||||
\(620\) | 9.49308 | − | 10.5431i | 0.381251 | − | 0.423422i | ||||
\(621\) | 7.10918 | − | 0.747205i | 0.285282 | − | 0.0299843i | ||||
\(622\) | 30.6625 | − | 37.8650i | 1.22945 | − | 1.51825i | ||||
\(623\) | −3.28320 | − | 10.1047i | −0.131539 | − | 0.404834i | ||||
\(624\) | −1.97335 | − | 2.29308i | −0.0789974 | − | 0.0917967i | ||||
\(625\) | 18.4167 | + | 13.3806i | 0.736670 | + | 0.535222i | ||||
\(626\) | −11.9172 | − | 44.4755i | −0.476306 | − | 1.77760i | ||||
\(627\) | −0.103489 | + | 0.396536i | −0.00413295 | + | 0.0158361i | ||||
\(628\) | 32.6081 | − | 18.8263i | 1.30120 | − | 0.751251i | ||||
\(629\) | 57.9403 | − | 9.17685i | 2.31023 | − | 0.365905i | ||||
\(630\) | 0.556330 | + | 0.361285i | 0.0221647 | + | 0.0143939i | ||||
\(631\) | −0.525677 | − | 10.0305i | −0.0209269 | − | 0.399308i | −0.988931 | − | 0.148375i | \(-0.952596\pi\) |
0.968004 | − | 0.250933i | \(-0.0807375\pi\) | |||||||
\(632\) | 3.17471 | − | 20.0443i | 0.126283 | − | 0.797321i | ||||
\(633\) | 9.81927 | − | 22.0544i | 0.390281 | − | 0.876585i | ||||
\(634\) | −9.63883 | − | 2.04880i | −0.382807 | − | 0.0813681i | ||||
\(635\) | 0.199381 | − | 3.80441i | 0.00791218 | − | 0.150973i | ||||
\(636\) | 16.3291 | − | 22.4751i | 0.647490 | − | 0.891194i | ||||
\(637\) | −0.522673 | + | 23.2874i | −0.0207091 | + | 0.922681i | ||||
\(638\) | 48.2950 | − | 31.8122i | 1.91202 | − | 1.25946i | ||||
\(639\) | −0.873467 | + | 0.234045i | −0.0345538 | + | 0.00925866i | ||||
\(640\) | −3.11822 | − | 7.00363i | −0.123258 | − | 0.276843i | ||||
\(641\) | −6.22333 | − | 29.2785i | −0.245807 | − | 1.15643i | −0.911852 | − | 0.410518i | \(-0.865348\pi\) |
0.666046 | − | 0.745911i | \(-0.267986\pi\) | |||||||
\(642\) | −4.86052 | + | 9.53931i | −0.191829 | + | 0.376486i | ||||
\(643\) | 8.63438 | + | 22.4933i | 0.340507 | + | 0.887050i | 0.991751 | + | 0.128182i | \(0.0409141\pi\) |
−0.651244 | + | 0.758868i | \(0.725753\pi\) | |||||||
\(644\) | 6.42901 | + | 16.7481i | 0.253338 | + | 0.659969i | ||||
\(645\) | −0.354903 | + | 0.696536i | −0.0139743 | + | 0.0274261i | ||||
\(646\) | 0.408889 | + | 1.92367i | 0.0160875 | + | 0.0756858i | ||||
\(647\) | −6.35621 | − | 14.2763i | −0.249888 | − | 0.561259i | 0.744431 | − | 0.667700i | \(-0.232721\pi\) |
−0.994319 | + | 0.106441i | \(0.966054\pi\) | |||||||
\(648\) | −3.18413 | + | 0.853184i | −0.125084 | + | 0.0335162i | ||||
\(649\) | −1.20079 | − | 0.451989i | −0.0471350 | − | 0.0177421i | ||||
\(650\) | −28.1214 | − | 29.4127i | −1.10301 | − | 1.15366i | ||||
\(651\) | −4.62101 | + | 6.36027i | −0.181112 | + | 0.249279i | ||||
\(652\) | 1.53335 | − | 29.2581i | 0.0600507 | − | 1.14584i | ||||
\(653\) | −8.67587 | − | 1.84411i | −0.339513 | − | 0.0721657i | 0.0350002 | − | 0.999387i | \(-0.488857\pi\) |
−0.374513 | + | 0.927222i | \(0.622190\pi\) | |||||||
\(654\) | −13.1967 | + | 29.6403i | −0.516033 | + | 1.15903i | ||||
\(655\) | 0.826386 | − | 5.21760i | 0.0322896 | − | 0.203868i | ||||
\(656\) | 0.170477 | + | 3.25290i | 0.00665601 | + | 0.127004i | ||||
\(657\) | 6.72243 | + | 4.36559i | 0.262267 | + | 0.170318i | ||||
\(658\) | 4.35973 | − | 0.690514i | 0.169960 | − | 0.0269190i | ||||
\(659\) | 17.4062 | − | 10.0495i | 0.678049 | − | 0.391472i | −0.121070 | − | 0.992644i | \(-0.538633\pi\) |
0.799120 | + | 0.601172i | \(0.205299\pi\) | |||||||
\(660\) | 3.70278 | + | 2.37048i | 0.144131 | + | 0.0922708i | ||||
\(661\) | 1.30630 | + | 4.87520i | 0.0508094 | + | 0.189623i | 0.986666 | − | 0.162758i | \(-0.0520389\pi\) |
−0.935857 | + | 0.352381i | \(0.885372\pi\) | |||||||
\(662\) | −29.9725 | − | 21.7763i | −1.16491 | − | 0.846359i | ||||
\(663\) | −24.2275 | + | 4.58407i | −0.940918 | + | 0.178031i | ||||
\(664\) | −1.52598 | − | 4.69650i | −0.0592197 | − | 0.182259i | ||||
\(665\) | −0.0221642 | + | 0.0273705i | −0.000859491 | + | 0.00106138i | ||||
\(666\) | −19.8544 | + | 2.08678i | −0.769342 | + | 0.0808611i | ||||
\(667\) | 35.8364 | − | 39.8004i | 1.38759 | − | 1.54108i | ||||
\(668\) | 2.72216 | + | 5.34253i | 0.105323 | + | 0.206709i | ||||
\(669\) | −0.495684 | + | 0.401397i | −0.0191642 | + | 0.0155189i | ||||
\(670\) | −0.480626 | + | 1.79372i | −0.0185682 | + | 0.0692974i | ||||
\(671\) | −26.9118 | − | 29.5000i | −1.03892 | − | 1.13883i | ||||
\(672\) | 1.70427 | + | 2.95189i | 0.0657438 | + | 0.113872i | ||||
\(673\) | −8.89402 | + | 3.95987i | −0.342839 | + | 0.152642i | −0.570932 | − | 0.820998i | \(-0.693418\pi\) |
0.228092 | + | 0.973640i | \(0.426751\pi\) | |||||||
\(674\) | −32.0380 | − | 1.67904i | −1.23406 | − | 0.0646742i | ||||
\(675\) | −4.61210 | + | 1.49856i | −0.177520 | + | 0.0576796i | ||||
\(676\) | 24.4672 | + | 37.0663i | 0.941044 | + | 1.42563i | ||||
\(677\) | 18.9108 | + | 26.0285i | 0.726802 | + | 1.00036i | 0.999270 | + | 0.0381921i | \(0.0121599\pi\) |
−0.272469 | + | 0.962165i | \(0.587840\pi\) | |||||||
\(678\) | 25.3056 | − | 16.4336i | 0.971854 | − | 0.631130i | ||||
\(679\) | −7.11883 | + | 6.40982i | −0.273196 | + | 0.245986i | ||||
\(680\) | 8.69926 | + | 0.914329i | 0.333601 | + | 0.0350629i | ||||
\(681\) | 17.4193 | − | 17.4193i | 0.667510 | − | 0.667510i | ||||
\(682\) | −48.1206 | + | 67.1475i | −1.84263 | + | 2.57121i | ||||
\(683\) | 31.0304 | + | 8.31457i | 1.18734 | + | 0.318148i | 0.797836 | − | 0.602875i | \(-0.205978\pi\) |
0.389509 | + | 0.921023i | \(0.372645\pi\) | |||||||
\(684\) | −0.0660387 | − | 0.416952i | −0.00252505 | − | 0.0159425i | ||||
\(685\) | −2.01896 | + | 0.429144i | −0.0771406 | + | 0.0163967i | ||||
\(686\) | −4.78444 | + | 22.5090i | −0.182671 | + | 0.859399i | ||||
\(687\) | 9.78564 | + | 7.92425i | 0.373345 | + | 0.302329i | ||||
\(688\) | 1.36763 | − | 0.993641i | 0.0521404 | − | 0.0378822i | ||||
\(689\) | −20.1020 | + | 21.3423i | −0.765824 | + | 0.813078i | ||||
\(690\) | 6.13923 | + | 1.99476i | 0.233717 | + | 0.0759391i | ||||
\(691\) | −5.67291 | − | 2.17763i | −0.215808 | − | 0.0828408i | 0.248062 | − | 0.968744i | \(-0.420206\pi\) |
−0.463870 | + | 0.885903i | \(0.653540\pi\) | |||||||
\(692\) | 21.0972 | + | 12.1805i | 0.801997 | + | 0.463033i | ||||
\(693\) | −2.17794 | − | 1.09191i | −0.0827330 | − | 0.0414782i | ||||
\(694\) | −17.3330 | − | 17.3330i | −0.657950 | − | 0.657950i | ||||
\(695\) | −2.84860 | − | 3.51773i | −0.108054 | − | 0.133435i | ||||
\(696\) | −13.4513 | + | 20.7132i | −0.509870 | + | 0.785131i | ||||
\(697\) | 23.6552 | + | 12.0529i | 0.896005 | + | 0.456537i | ||||
\(698\) | 36.7416 | + | 16.3584i | 1.39069 | + | 0.619174i | ||||
\(699\) | −2.55857 | − | 24.3431i | −0.0967739 | − | 0.920742i | ||||
\(700\) | −6.62843 | − | 10.2069i | −0.250531 | − | 0.385784i | ||||
\(701\) | 12.7843 | − | 39.3460i | 0.482856 | − | 1.48608i | −0.352206 | − | 0.935922i | \(-0.614568\pi\) |
0.835062 | − | 0.550156i | \(-0.185432\pi\) | |||||||
\(702\) | 8.31533 | − | 1.12638i | 0.313842 | − | 0.0425125i | ||||
\(703\) | − | 1.05994i | − | 0.0399764i | ||||||
\(704\) | 20.9240 | + | 35.7025i | 0.788604 | + | 1.34559i | ||||
\(705\) | 0.500912 | − | 0.867605i | 0.0188654 | − | 0.0326759i | ||||
\(706\) | −0.174390 | + | 1.65921i | −0.00656325 | + | 0.0624451i | ||||
\(707\) | −2.25937 | + | 1.15121i | −0.0849724 | + | 0.0432956i | ||||
\(708\) | 1.31983 | − | 0.0691693i | 0.0496022 | − | 0.00259954i | ||||
\(709\) | −26.1291 | + | 10.0300i | −0.981300 | + | 0.376686i | −0.795535 | − | 0.605908i | \(-0.792810\pi\) |
−0.185766 | + | 0.982594i | \(0.559477\pi\) | |||||||
\(710\) | −0.806538 | − | 0.127743i | −0.0302688 | − | 0.00479411i | ||||
\(711\) | 4.57508 | + | 4.11942i | 0.171579 | + | 0.154490i | ||||
\(712\) | 31.9032 | + | 35.4320i | 1.19562 | + | 1.32787i | ||||
\(713\) | −27.4166 | + | 71.4227i | −1.02676 | + | 2.67480i | ||||
\(714\) | −11.6915 | −0.437543 | ||||||||
\(715\) | −3.55896 | − | 2.97709i | −0.133098 | − | 0.111337i | ||||
\(716\) | 45.9662 | 1.71784 | ||||||||
\(717\) | 9.28329 | − | 24.1838i | 0.346691 | − | 0.903161i | ||||
\(718\) | 4.07367 | + | 4.52426i | 0.152028 | + | 0.168844i | ||||
\(719\) | −25.9535 | − | 23.3686i | −0.967902 | − | 0.871503i | 0.0238445 | − | 0.999716i | \(-0.492409\pi\) |
−0.991747 | + | 0.128213i | \(0.959076\pi\) | |||||||
\(720\) | −0.321559 | − | 0.0509300i | −0.0119838 | − | 0.00189805i | ||||
\(721\) | 1.57342 | − | 0.603981i | 0.0585974 | − | 0.0224934i | ||||
\(722\) | −44.1230 | + | 2.31239i | −1.64209 | + | 0.0860582i | ||||
\(723\) | 2.99573 | − | 1.52640i | 0.111412 | − | 0.0567674i | ||||
\(724\) | −0.480344 | + | 4.57017i | −0.0178519 | + | 0.169849i | ||||
\(725\) | −18.1665 | + | 31.4653i | −0.674686 | + | 1.16859i | ||||
\(726\) | −22.9597 | − | 11.3243i | −0.852113 | − | 0.420286i | ||||
\(727\) | 19.9311i | 0.739203i | 0.929190 | + | 0.369602i | \(0.120506\pi\) | ||||
−0.929190 | + | 0.369602i | \(0.879494\pi\) | |||||||
\(728\) | 3.37130 | + | 8.05372i | 0.124949 | + | 0.298491i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 3.94227 | + | 6.07056i | 0.145910 | + | 0.224681i | ||||
\(731\) | −1.44021 | − | 13.7027i | −0.0532681 | − | 0.506812i | ||||
\(732\) | 37.5764 | + | 16.7301i | 1.38886 | + | 0.618362i | ||||
\(733\) | −3.33851 | − | 1.70106i | −0.123311 | − | 0.0628300i | 0.391247 | − | 0.920286i | \(-0.372044\pi\) |
−0.514558 | + | 0.857456i | \(0.672044\pi\) | |||||||
\(734\) | 0.638280 | − | 0.982864i | 0.0235593 | − | 0.0362782i | ||||
\(735\) | 1.57753 | + | 1.94809i | 0.0581880 | + | 0.0718562i | ||||
\(736\) | 23.4542 | + | 23.4542i | 0.864534 | + | 0.864534i | ||||
\(737\) | 1.02304 | − | 6.74315i | 0.0376843 | − | 0.248387i | ||||
\(738\) | −7.82452 | − | 4.51749i | −0.288025 | − | 0.166291i | ||||
\(739\) | 38.1702 | + | 14.6522i | 1.40411 | + | 0.538989i | 0.938278 | − | 0.345882i | \(-0.112420\pi\) |
0.465836 | + | 0.884871i | \(0.345754\pi\) | |||||||
\(740\) | −10.8146 | − | 3.51387i | −0.397552 | − | 0.129172i | ||||
\(741\) | 0.0133276 | + | 0.445320i | 0.000489602 | + | 0.0163592i | ||||
\(742\) | −11.2467 | + | 8.17120i | −0.412879 | + | 0.299974i | ||||
\(743\) | −25.1409 | − | 20.3587i | −0.922330 | − | 0.746888i | 0.0453763 | − | 0.998970i | \(-0.485551\pi\) |
−0.967706 | + | 0.252082i | \(0.918885\pi\) | |||||||
\(744\) | 7.33508 | − | 34.5088i | 0.268917 | − | 1.26515i | ||||
\(745\) | −1.22158 | + | 0.259656i | −0.0447554 | + | 0.00951305i | ||||
\(746\) | −0.628704 | − | 3.96948i | −0.0230185 | − | 0.145333i | ||||
\(747\) | 1.44699 | + | 0.387719i | 0.0529425 | + | 0.0141859i | ||||
\(748\) | −77.4877 | + | 0.504591i | −2.83323 | + | 0.0184497i | ||||
\(749\) | 2.38948 | − | 2.38948i | 0.0873098 | − | 0.0873098i | ||||
\(750\) | −8.84563 | − | 0.929713i | −0.322997 | − | 0.0339483i | ||||
\(751\) | −32.9382 | + | 29.6577i | −1.20193 | + | 1.08223i | −0.207352 | + | 0.978266i | \(0.566484\pi\) |
−0.994582 | + | 0.103959i | \(0.966849\pi\) | |||||||
\(752\) | −1.81690 | + | 1.17991i | −0.0662555 | + | 0.0430268i | ||||
\(753\) | 6.33837 | + | 8.72402i | 0.230983 | + | 0.317921i | ||||
\(754\) | 40.6511 | − | 47.9583i | 1.48042 | − | 1.74654i | ||||
\(755\) | −8.40693 | + | 2.73158i | −0.305960 | + | 0.0994123i | ||||
\(756\) | 2.50619 | + | 0.131344i | 0.0911492 | + | 0.00477693i | ||||
\(757\) | −26.8815 | + | 11.9684i | −0.977023 | + | 0.434999i | −0.832210 | − | 0.554460i | \(-0.812925\pi\) |
−0.144813 | + | 0.989459i | \(0.546258\pi\) | |||||||
\(758\) | 23.7706 | + | 41.1720i | 0.863388 | + | 1.49543i | ||||
\(759\) | −23.2219 | − | 4.77813i | −0.842901 | − | 0.173435i | ||||
\(760\) | 0.0409058 | − | 0.152662i | 0.00148381 | − | 0.00553765i | ||||
\(761\) | −27.3133 | + | 22.1179i | −0.990106 | + | 0.801772i | −0.980166 | − | 0.198178i | \(-0.936498\pi\) |
−0.00994046 | + | 0.999951i | \(0.503164\pi\) | |||||||
\(762\) | −10.3738 | − | 20.3598i | −0.375804 | − | 0.737558i | ||||
\(763\) | 6.85247 | − | 7.61043i | 0.248076 | − | 0.275516i | ||||
\(764\) | 72.3347 | − | 7.60268i | 2.61698 | − | 0.275055i | ||||
\(765\) | −1.66991 | + | 2.06217i | −0.0603757 | + | 0.0745578i | ||||
\(766\) | 19.7788 | + | 60.8728i | 0.714636 | + | 2.19942i | ||||
\(767\) | −1.39091 | − | 0.104235i | −0.0502227 | − | 0.00376371i | ||||
\(768\) | −17.0129 | − | 12.3606i | −0.613902 | − | 0.446026i | ||||
\(769\) | −7.44877 | − | 27.7992i | −0.268610 | − | 1.00246i | −0.960004 | − | 0.279987i | \(-0.909670\pi\) |
0.691394 | − | 0.722478i | \(-0.256997\pi\) | |||||||
\(770\) | −1.39566 | − | 1.70073i | −0.0502960 | − | 0.0612900i | ||||
\(771\) | −15.3547 | + | 8.86503i | −0.552986 | + | 0.319266i | ||||
\(772\) | −56.9404 | + | 9.01847i | −2.04933 | + | 0.324582i | ||||
\(773\) | 23.5860 | + | 15.3169i | 0.848330 | + | 0.550912i | 0.894011 | − | 0.448044i | \(-0.147879\pi\) |
−0.0456815 | + | 0.998956i | \(0.514546\pi\) | |||||||
\(774\) | 0.245399 | + | 4.68249i | 0.00882068 | + | 0.168309i | ||||
\(775\) | 8.11902 | − | 51.2615i | 0.291644 | − | 1.84137i | ||||
\(776\) | 17.4846 | − | 39.2711i | 0.627661 | − | 1.40975i | ||||
\(777\) | 6.16353 | + | 1.31010i | 0.221115 | + | 0.0469995i | ||||
\(778\) | −1.99955 | + | 38.1536i | −0.0716872 | + | 1.36787i | ||||
\(779\) | 0.281958 | − | 0.388082i | 0.0101022 | − | 0.0139045i | ||||
\(780\) | 4.58779 | + | 1.34033i | 0.164269 | + | 0.0479914i | ||||
\(781\) | 2.99600 | + | 0.137457i | 0.107205 | + | 0.00491861i | ||||
\(782\) | −109.896 | + | 29.4464i | −3.92986 | + | 1.05300i | ||||
\(783\) | −3.04735 | − | 6.84445i | −0.108903 | − | 0.244601i | ||||
\(784\) | −1.12702 | − | 5.30222i | −0.0402508 | − | 0.189365i | ||||
\(785\) | −1.94141 | + | 3.81023i | −0.0692919 | + | 0.135993i | ||||
\(786\) | −11.3551 | − | 29.5809i | −0.405022 | − | 1.05512i | ||||
\(787\) | 1.16646 | + | 3.03873i | 0.0415797 | + | 0.108319i | 0.952798 | − | 0.303605i | \(-0.0981903\pi\) |
−0.911218 | + | 0.411924i | \(0.864857\pi\) | |||||||
\(788\) | 28.0642 | − | 55.0791i | 0.999746 | − | 1.96211i | ||||
\(789\) | −0.675124 | − | 3.17621i | −0.0240350 | − | 0.113076i | ||||
\(790\) | 2.26121 | + | 5.07876i | 0.0804503 | + | 0.180694i | ||||
\(791\) | −9.19923 | + | 2.46493i | −0.327087 | + | 0.0876427i | ||||
\(792\) | 10.9216 | + | 0.501086i | 0.388082 | + | 0.0178053i | ||||
\(793\) | −37.0974 | − | 22.5429i | −1.31737 | − | 0.800523i | ||||
\(794\) | 18.7374 | − | 25.7898i | 0.664964 | − | 0.915245i | ||||
\(795\) | −0.165127 | + | 3.15082i | −0.00585647 | + | 0.111748i | ||||
\(796\) | −42.0837 | − | 8.94517i | −1.49162 | − | 0.317053i | ||||
\(797\) | −3.71009 | + | 8.33300i | −0.131418 | + | 0.295170i | −0.967254 | − | 0.253809i | \(-0.918317\pi\) |
0.835836 | + | 0.548979i | \(0.184983\pi\) | |||||||
\(798\) | −0.0330463 | + | 0.208646i | −0.00116983 | + | 0.00738599i | ||||
\(799\) | 0.924102 | + | 17.6329i | 0.0326924 | + | 0.623808i | ||||
\(800\) | −18.8718 | − | 12.2555i | −0.667220 | − | 0.433298i | ||||
\(801\) | −14.2855 | + | 2.26260i | −0.504754 | + | 0.0799452i | ||||
\(802\) | −47.8626 | + | 27.6335i | −1.69009 | + | 0.975772i | ||||
\(803\) | −16.8644 | − | 20.5508i | −0.595133 | − | 0.725221i | ||||
\(804\) | 1.81834 | + | 6.78614i | 0.0641279 | + | 0.239329i | ||||
\(805\) | −1.64835 | − | 1.19759i | −0.0580966 | − | 0.0422096i | ||||
\(806\) | −29.6612 | + | 84.7666i | −1.04477 | + | 2.98578i | ||||
\(807\) | 5.03999 | + | 15.5115i | 0.177416 | + | 0.546030i | ||||
\(808\) | 7.16121 | − | 8.84336i | 0.251930 | − | 0.311108i | ||||
\(809\) | 17.5198 | − | 1.84140i | 0.615963 | − | 0.0647403i | 0.208591 | − | 0.978003i | \(-0.433112\pi\) |
0.407371 | + | 0.913263i | \(0.366445\pi\) | |||||||
\(810\) | 0.604245 | − | 0.671083i | 0.0212310 | − | 0.0235794i | ||||
\(811\) | 7.22016 | + | 14.1704i | 0.253534 | + | 0.497589i | 0.982334 | − | 0.187139i | \(-0.0599213\pi\) |
−0.728799 | + | 0.684727i | \(0.759921\pi\) | |||||||
\(812\) | 14.6124 | − | 11.8329i | 0.512794 | − | 0.415252i | ||||
\(813\) | 0.559580 | − | 2.08838i | 0.0196253 | − | 0.0732427i | ||||
\(814\) | 64.8536 | + | 13.3443i | 2.27312 | + | 0.467717i | ||||
\(815\) | 1.66375 | + | 2.88170i | 0.0582786 | + | 0.100941i | ||||
\(816\) | 5.24203 | − | 2.33390i | 0.183508 | − | 0.0817030i | ||||
\(817\) | −0.248608 | − | 0.0130290i | −0.00869771 | − | 0.000455827i | ||||
\(818\) | 12.9918 | − | 4.22128i | 0.454246 | − | 0.147593i | ||||
\(819\) | −2.60600 | − | 0.472921i | −0.0910610 | − | 0.0165252i | ||||
\(820\) | −3.02487 | − | 4.16338i | −0.105633 | − | 0.145391i | ||||
\(821\) | −0.925473 | + | 0.601009i | −0.0322992 | + | 0.0209754i | −0.560688 | − | 0.828027i | \(-0.689463\pi\) |
0.528388 | + | 0.849003i | \(0.322796\pi\) | |||||||
\(822\) | −9.20040 | + | 8.28408i | −0.320901 | + | 0.288941i | ||||
\(823\) | −42.6437 | − | 4.48203i | −1.48646 | − | 0.156234i | −0.673778 | − | 0.738934i | \(-0.735329\pi\) |
−0.812687 | + | 0.582700i | \(0.801996\pi\) | |||||||
\(824\) | −5.34794 | + | 5.34794i | −0.186304 | + | 0.186304i | ||||
\(825\) | 16.0835 | − | 0.104734i | 0.559954 | − | 0.00364635i | ||||
\(826\) | −0.638824 | − | 0.171172i | −0.0222275 | − | 0.00595585i | ||||
\(827\) | 0.352953 | + | 2.22846i | 0.0122734 | + | 0.0774910i | 0.993065 | − | 0.117569i | \(-0.0375100\pi\) |
−0.980791 | + | 0.195060i | \(0.937510\pi\) | |||||||
\(828\) | 23.8880 | − | 5.07756i | 0.830166 | − | 0.176457i | ||||
\(829\) | −0.813284 | + | 3.82620i | −0.0282465 | + | 0.132890i | −0.990011 | − | 0.140987i | \(-0.954973\pi\) |
0.961765 | + | 0.273876i | \(0.0883059\pi\) | |||||||
\(830\) | 1.05130 | + | 0.851325i | 0.0364911 | + | 0.0295499i | ||||
\(831\) | −15.7651 | + | 11.4540i | −0.546885 | + | 0.397335i | ||||
\(832\) | 32.7481 | + | 30.8449i | 1.13534 | + | 1.06935i | ||||
\(833\) | −42.0185 | − | 13.6526i | −1.45585 | − | 0.473035i | ||||
\(834\) | −25.3467 | − | 9.72967i | −0.877683 | − | 0.336911i | ||||
\(835\) | −0.589757 | − | 0.340496i | −0.0204094 | − | 0.0117834i | ||||
\(836\) | −0.210016 | + | 1.38427i | −0.00726355 | + | 0.0478759i | ||||
\(837\) | 7.56770 | + | 7.56770i | 0.261578 | + | 0.261578i | ||||
\(838\) | −16.0944 | − | 19.8749i | −0.555972 | − | 0.686569i | ||||
\(839\) | −0.804325 | + | 1.23855i | −0.0277684 | + | 0.0427596i | −0.852282 | − | 0.523082i | \(-0.824782\pi\) |
0.824514 | + | 0.565842i | \(0.191449\pi\) | |||||||
\(840\) | 0.837169 | + | 0.426559i | 0.0288851 | + | 0.0147177i | ||||
\(841\) | −24.7871 | − | 11.0359i | −0.854727 | − | 0.380549i | ||||
\(842\) | −6.30218 | − | 59.9612i | −0.217187 | − | 2.06640i | ||||
\(843\) | 1.80225 | + | 2.77522i | 0.0620727 | + | 0.0955836i | ||||
\(844\) | 25.4870 | − | 78.4409i | 0.877299 | − | 2.70005i | ||||
\(845\) | −4.62329 | − | 2.01713i | −0.159046 | − | 0.0693914i | ||||
\(846\) | − | 6.00898i | − | 0.206593i | ||||||
\(847\) | 5.78761 | + | 5.63879i | 0.198865 | + | 0.193751i | ||||
\(848\) | 3.41144 | − | 5.90878i | 0.117149 | − | 0.202908i | ||||
\(849\) | −0.460442 | + | 4.38081i | −0.0158023 | + | 0.150349i | ||||
\(850\) | 68.7708 | − | 35.0405i | 2.35882 | − | 1.20188i | ||||
\(851\) | 61.2345 | − | 3.20916i | 2.09909 | − | 0.110009i | ||||
\(852\) | −2.88420 | + | 1.10714i | −0.0988110 | + | 0.0379300i | ||||
\(853\) | 13.6478 | + | 2.16160i | 0.467293 | + | 0.0740119i | 0.385641 | − | 0.922649i | \(-0.373980\pi\) |
0.0816519 | + | 0.996661i | \(0.473980\pi\) | |||||||
\(854\) | −15.2962 | − | 13.7727i | −0.523425 | − | 0.471294i | ||||
\(855\) | 0.0320813 | + | 0.0356299i | 0.00109716 | + | 0.00121852i | ||||
\(856\) | −5.43445 | + | 14.1572i | −0.185746 | + | 0.483884i | ||||
\(857\) | 36.9537 | 1.26232 | 0.631158 | − | 0.775654i | \(-0.282580\pi\) | ||||
0.631158 | + | 0.775654i | \(0.282580\pi\) | |||||||
\(858\) | −27.4152 | − | 4.79096i | −0.935940 | − | 0.163561i | ||||
\(859\) | 9.90584 | 0.337983 | 0.168991 | − | 0.985618i | \(-0.445949\pi\) | ||||
0.168991 | + | 0.985618i | \(0.445949\pi\) | |||||||
\(860\) | −0.957112 | + | 2.49336i | −0.0326372 | + | 0.0850229i | ||||
\(861\) | 1.90819 | + | 2.11926i | 0.0650308 | + | 0.0722241i | ||||
\(862\) | −14.7127 | − | 13.2474i | −0.501117 | − | 0.451208i | ||||
\(863\) | −23.3828 | − | 3.70347i | −0.795959 | − | 0.126067i | −0.254806 | − | 0.966992i | \(-0.582012\pi\) |
−0.541152 | + | 0.840925i | \(0.682012\pi\) | |||||||
\(864\) | 4.33194 | − | 1.66288i | 0.147376 | − | 0.0565722i | ||||
\(865\) | −2.76296 | + | 0.144801i | −0.0939436 | + | 0.00492338i | ||||
\(866\) | −71.5468 | + | 36.4549i | −2.43126 | + | 1.23879i | ||||
\(867\) | 3.11161 | − | 29.6050i | 0.105676 | − | 1.00544i | ||||
\(868\) | −13.4295 | + | 23.2605i | −0.455826 | + | 0.789513i | ||||
\(869\) | −10.3241 | − | 17.6160i | −0.350222 | − | 0.597582i | ||||
\(870\) | − | 6.76567i | − | 0.229378i | ||||||
\(871\) | −0.995263 | − | 7.34737i | −0.0337232 | − | 0.248956i | ||||
\(872\) | −14.2012 | + | 43.7069i | −0.480914 | + | 1.48010i | ||||
\(873\) | 7.10240 | + | 10.9367i | 0.240380 | + | 0.370152i | ||||
\(874\) | 0.214878 | + | 2.04442i | 0.00726834 | + | 0.0691536i | ||||
\(875\) | 2.56465 | + | 1.14185i | 0.0867009 | + | 0.0386017i | ||||
\(876\) | 24.3998 | + | 12.4323i | 0.824393 | + | 0.420049i | ||||
\(877\) | −26.8513 | + | 41.3474i | −0.906704 | + | 1.39620i | 0.0114315 | + | 0.999935i | \(0.496361\pi\) |
−0.918135 | + | 0.396267i | \(0.870305\pi\) | |||||||
\(878\) | 48.4998 | + | 59.8923i | 1.63679 | + | 2.02127i | ||||
\(879\) | −2.69448 | − | 2.69448i | −0.0908826 | − | 0.0908826i | ||||
\(880\) | 0.965268 | + | 0.483937i | 0.0325392 | + | 0.0163135i | ||||
\(881\) | 13.0171 | + | 7.51540i | 0.438556 | + | 0.253200i | 0.702985 | − | 0.711205i | \(-0.251850\pi\) |
−0.264429 | + | 0.964405i | \(0.585184\pi\) | |||||||
\(882\) | 14.0368 | + | 5.38820i | 0.472642 | + | 0.181430i | ||||
\(883\) | −19.6818 | − | 6.39499i | −0.662344 | − | 0.215209i | −0.0414948 | − | 0.999139i | \(-0.513212\pi\) |
−0.620849 | + | 0.783930i | \(0.713212\pi\) | |||||||
\(884\) | −80.6807 | + | 24.2272i | −2.71359 | + | 0.814850i | ||||
\(885\) | −0.121436 | + | 0.0882282i | −0.00408202 | + | 0.00296576i | ||||
\(886\) | −53.8317 | − | 43.5921i | −1.80851 | − | 1.46450i | ||||
\(887\) | −4.18158 | + | 19.6728i | −0.140404 | + | 0.660547i | 0.850500 | + | 0.525975i | \(0.176299\pi\) |
−0.990904 | + | 0.134572i | \(0.957034\pi\) | |||||||
\(888\) | −27.6590 | + | 5.87911i | −0.928177 | + | 0.197290i | ||||
\(889\) | 1.12826 | + | 7.12353i | 0.0378405 | + | 0.238916i | ||||
\(890\) | −12.6160 | − | 3.38045i | −0.422890 | − | 0.113313i | ||||
\(891\) | −1.93195 | + | 2.69584i | −0.0647227 | + | 0.0903141i | ||||
\(892\) | −1.54084 | + | 1.54084i | −0.0515911 | + | 0.0515911i | ||||
\(893\) | 0.317288 | + | 0.0333484i | 0.0106177 | + | 0.00111596i | ||||
\(894\) | −5.56675 | + | 5.01233i | −0.186180 | + | 0.167637i | ||||
\(895\) | −4.37831 | + | 2.84331i | −0.146351 | + | 0.0950412i | ||||
\(896\) | 8.53108 | + | 11.7420i | 0.285003 | + | 0.392274i | ||||
\(897\) | −25.6865 | + | 2.11825i | −0.857648 | + | 0.0707262i | ||||
\(898\) | −62.3164 | + | 20.2478i | −2.07952 | + | 0.675678i | ||||
\(899\) | 80.0741 | + | 4.19650i | 2.67062 | + | 0.139961i | ||||
\(900\) | −15.1354 | + | 6.73870i | −0.504512 | + | 0.224623i | ||||
\(901\) | −27.8046 | − | 48.1591i | −0.926307 | − | 1.60441i | ||||
\(902\) | 20.1955 | + | 22.1378i | 0.672437 | + | 0.737107i | ||||
\(903\) | 0.383046 | − | 1.42955i | 0.0127470 | − | 0.0475724i | ||||
\(904\) | 33.2137 | − | 26.8960i | 1.10467 | − | 0.894546i | ||||
\(905\) | −0.236941 | − | 0.465024i | −0.00787620 | − | 0.0154579i | ||||
\(906\) | −35.4774 | + | 39.4016i | −1.17866 | + | 1.30903i | ||||
\(907\) | 1.49551 | − | 0.157184i | 0.0496575 | − | 0.00521922i | −0.0796671 | − | 0.996822i | \(-0.525386\pi\) |
0.129325 | + | 0.991602i | \(0.458719\pi\) | |||||||
\(908\) | 52.9650 | − | 65.4063i | 1.75771 | − | 2.17059i | ||||
\(909\) | 1.06672 | + | 3.28303i | 0.0353809 | + | 0.108891i | ||||
\(910\) | −1.97614 | − | 1.34731i | −0.0655085 | − | 0.0446630i | ||||
\(911\) | 35.6208 | + | 25.8800i | 1.18017 | + | 0.857444i | 0.992191 | − | 0.124729i | \(-0.0398063\pi\) |
0.187979 | + | 0.982173i | \(0.439806\pi\) | |||||||
\(912\) | −0.0268340 | − | 0.100146i | −0.000888564 | − | 0.00331616i | ||||
\(913\) | −4.18439 | − | 2.67880i | −0.138483 | − | 0.0886553i | ||||
\(914\) | 20.8408 | − | 12.0324i | 0.689352 | − | 0.397998i | ||||
\(915\) | −4.61404 | + | 0.730792i | −0.152535 | + | 0.0241592i | ||||
\(916\) | 36.0785 | + | 23.4297i | 1.19207 | + | 0.774138i | ||||
\(917\) | 0.523412 | + | 9.98729i | 0.0172846 | + | 0.329809i | ||||
\(918\) | −2.48979 | + | 15.7199i | −0.0821754 | + | 0.518835i | ||||
\(919\) | −1.63615 | + | 3.67486i | −0.0539717 | + | 0.121222i | −0.938518 | − | 0.345229i | \(-0.887801\pi\) |
0.884547 | + | 0.466452i | \(0.154468\pi\) | |||||||
\(920\) | 8.94340 | + | 1.90098i | 0.294855 | + | 0.0626734i | ||||
\(921\) | −0.0531797 | + | 1.01473i | −0.00175233 | + | 0.0334365i | ||||
\(922\) | 38.9207 | − | 53.5698i | 1.28179 | − | 1.76423i | ||||
\(923\) | 3.16747 | − | 0.772981i | 0.104259 | − | 0.0254430i | ||||
\(924\) | −7.78991 | − | 2.93221i | −0.256269 | − | 0.0964627i | ||||
\(925\) | −40.1811 | + | 10.7665i | −1.32115 | + | 0.354000i | ||||
\(926\) | −27.3683 | − | 61.4702i | −0.899379 | − | 2.02004i | ||||
\(927\) | −0.477017 | − | 2.24419i | −0.0156673 | − | 0.0737089i | ||||
\(928\) | 15.7829 | − | 30.9756i | 0.518098 | − | 1.01682i | ||||
\(929\) | −0.0627408 | − | 0.163445i | −0.00205846 | − | 0.00536247i | 0.932547 | − | 0.361048i | \(-0.117581\pi\) |
−0.934606 | + | 0.355685i | \(0.884248\pi\) | |||||||
\(930\) | 3.46346 | + | 9.02263i | 0.113571 | + | 0.295864i | ||||
\(931\) | −0.362411 | + | 0.711271i | −0.0118775 | + | 0.0233110i | ||||
\(932\) | −17.3865 | − | 81.7970i | −0.569513 | − | 2.67935i | ||||
\(933\) | 8.51517 | + | 19.1254i | 0.278774 | + | 0.626137i | ||||
\(934\) | −37.0241 | + | 9.92057i | −1.21146 | + | 0.324611i | ||||
\(935\) | 7.34953 | − | 4.84117i | 0.240355 | − | 0.158323i | ||||
\(936\) | 11.5467 | − | 2.81782i | 0.377415 | − | 0.0921032i | ||||
\(937\) | 31.7921 | − | 43.7581i | 1.03860 | − | 1.42952i | 0.140317 | − | 0.990107i | \(-0.455188\pi\) |
0.898287 | − | 0.439409i | \(-0.144812\pi\) | |||||||
\(938\) | 0.183994 | − | 3.51081i | 0.00600761 | − | 0.114632i | ||||
\(939\) | 19.3520 | + | 4.11339i | 0.631528 | + | 0.134236i | ||||
\(940\) | 1.39212 | − | 3.12674i | 0.0454058 | − | 0.101983i | ||||
\(941\) | −8.42477 | + | 53.1919i | −0.274640 | + | 1.73401i | 0.335791 | + | 0.941936i | \(0.390996\pi\) |
−0.610431 | + | 0.792070i | \(0.709004\pi\) | |||||||
\(942\) | 1.34239 | + | 25.6144i | 0.0437376 | + | 0.834563i | ||||
\(943\) | 23.2738 | + | 15.1142i | 0.757900 | + | 0.492186i | ||||
\(944\) | 0.320595 | − | 0.0507773i | 0.0104345 | − | 0.00165266i | ||||
\(945\) | −0.246840 | + | 0.142513i | −0.00802972 | + | 0.00463596i | ||||
\(946\) | 3.92709 | − | 15.0474i | 0.127681 | − | 0.489232i | ||||
\(947\) | −11.6786 | − | 43.5853i | −0.379505 | − | 1.41633i | −0.846650 | − | 0.532151i | \(-0.821384\pi\) |
0.467145 | − | 0.884181i | \(-0.345283\pi\) | |||||||
\(948\) | 17.0158 | + | 12.3627i | 0.552649 | + | 0.401523i | ||||
\(949\) | −23.8788 | − | 16.2803i | −0.775137 | − | 0.528480i | ||||
\(950\) | −0.430949 | − | 1.32632i | −0.0139818 | − | 0.0430316i | ||||
\(951\) | 2.66462 | − | 3.29053i | 0.0864063 | − | 0.106703i | ||||
\(952\) | −16.4693 | + | 1.73099i | −0.533773 | + | 0.0561018i | ||||
\(953\) | −12.1053 | + | 13.4443i | −0.392130 | + | 0.435505i | −0.906592 | − | 0.422009i | \(-0.861325\pi\) |
0.514461 | + | 0.857513i | \(0.327992\pi\) | |||||||
\(954\) | 8.59162 | + | 16.8620i | 0.278164 | + | 0.545928i | ||||
\(955\) | −6.41964 | + | 5.19852i | −0.207735 | + | 0.168220i | ||||
\(956\) | 22.9055 | − | 85.4845i | 0.740817 | − | 2.76477i | ||||
\(957\) | 2.75827 | + | 24.6952i | 0.0891622 | + | 0.798283i | ||||
\(958\) | 17.3766 | + | 30.0971i | 0.561412 | + | 0.972395i | ||||
\(959\) | 3.56982 | − | 1.58939i | 0.115276 | − | 0.0513240i | ||||
\(960\) | 4.83468 | + | 0.253375i | 0.156039 | + | 0.00817764i | ||||
\(961\) | −79.4515 | + | 25.8154i | −2.56295 | + | 0.832754i | ||||
\(962\) | 71.7368 | − | 5.91580i | 2.31289 | − | 0.190733i | ||||
\(963\) | −2.70395 | − | 3.72167i | −0.0871336 | − | 0.119929i | ||||
\(964\) | 9.63349 | − | 6.25606i | 0.310274 | − | 0.201494i | ||||
\(965\) | 4.86575 | − | 4.38114i | 0.156634 | − | 0.141034i | ||||
\(966\) | −12.1539 | − | 1.27742i | −0.391044 | − | 0.0411004i | ||||
\(967\) | −21.7399 | + | 21.7399i | −0.699108 | + | 0.699108i | −0.964218 | − | 0.265110i | \(-0.914592\pi\) |
0.265110 | + | 0.964218i | \(0.414592\pi\) | |||||||
\(968\) | −34.0189 | − | 12.5528i | −1.09341 | − | 0.403462i | ||||
\(969\) | −0.816232 | − | 0.218709i | −0.0262212 | − | 0.00702594i | ||||
\(970\) | 1.84218 | + | 11.6310i | 0.0591487 | + | 0.373450i | ||||
\(971\) | 16.2866 | − | 3.46181i | 0.522660 | − | 0.111095i | 0.0609761 | − | 0.998139i | \(-0.480579\pi\) |
0.461684 | + | 0.887044i | \(0.347245\pi\) | |||||||
\(972\) | 0.710313 | − | 3.34176i | 0.0227833 | − | 0.107187i | ||||
\(973\) | 6.65970 | + | 5.39292i | 0.213500 | + | 0.172889i | ||||
\(974\) | 57.8938 | − | 42.0623i | 1.85504 | − | 1.34776i | ||||
\(975\) | 16.7462 | − | 5.02864i | 0.536308 | − | 0.161045i | ||||
\(976\) | 9.60762 | + | 3.12170i | 0.307532 | + | 0.0999233i | ||||
\(977\) | 48.2272 | + | 18.5127i | 1.54293 | + | 0.592274i | 0.973281 | − | 0.229618i | \(-0.0737476\pi\) |
0.569644 | + | 0.821891i | \(0.307081\pi\) | |||||||
\(978\) | 17.2845 | + | 9.97924i | 0.552699 | + | 0.319101i | ||||
\(979\) | 47.4276 | + | 7.19553i | 1.51579 | + | 0.229970i | ||||
\(980\) | 6.05565 | + | 6.05565i | 0.193441 | + | 0.193441i | ||||
\(981\) | −8.77342 | − | 10.8343i | −0.280114 | − | 0.345912i | ||||
\(982\) | 45.6617 | − | 70.3129i | 1.45712 | − | 2.24377i | ||||
\(983\) | −52.7928 | − | 26.8992i | −1.68383 | − | 0.857953i | −0.990529 | − | 0.137302i | \(-0.956157\pi\) |
−0.693298 | − | 0.720651i | \(-0.743843\pi\) | |||||||
\(984\) | −11.6909 | − | 5.20512i | −0.372692 | − | 0.165933i | ||||
\(985\) | 0.733865 | + | 6.98226i | 0.0233829 | + | 0.222473i | ||||
\(986\) | 64.9454 | + | 100.007i | 2.06828 | + | 3.18487i | ||||
\(987\) | −0.586092 | + | 1.80381i | −0.0186555 | + | 0.0574158i | ||||
\(988\) | 0.204313 | + | 1.50830i | 0.00650005 | + | 0.0479856i | ||||
\(989\) | − | 14.4020i | − | 0.457956i | ||||||
\(990\) | −2.58395 | + | 1.51437i | −0.0821234 | + | 0.0481297i | ||||
\(991\) | 9.12348 | − | 15.8023i | 0.289817 | − | 0.501978i | −0.683949 | − | 0.729530i | \(-0.739739\pi\) |
0.973766 | + | 0.227552i | \(0.0730723\pi\) | |||||||
\(992\) | −5.19092 | + | 49.3883i | −0.164812 | + | 1.56808i | ||||
\(993\) | 14.1837 | − | 7.22696i | 0.450106 | − | 0.229341i | ||||
\(994\) | 1.54384 | − | 0.0809091i | 0.0489676 | − | 0.00256628i | ||||
\(995\) | 4.56181 | − | 1.75112i | 0.144619 | − | 0.0555141i | ||||
\(996\) | 5.05489 | + | 0.800616i | 0.160170 | + | 0.0253685i | ||||
\(997\) | −16.3243 | − | 14.6985i | −0.516997 | − | 0.465506i | 0.368847 | − | 0.929490i | \(-0.379753\pi\) |
−0.885843 | + | 0.463984i | \(0.846419\pi\) | |||||||
\(998\) | 45.1458 | + | 50.1395i | 1.42907 | + | 1.58714i | ||||
\(999\) | 3.07408 | − | 8.00825i | 0.0972596 | − | 0.253370i |
(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 | 429.2.bs.a.7.2 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.a.85.2 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.a.106.2 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.a.184.2 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.a.7.2 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.a.85.2 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.a.106.2 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.a.184.2 | yes | 224 | 143.41 | even | 60 | inner |