Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [484,2,Mod(215,484)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(484, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("484.215");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 484 = 2^{2} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 484.g (of order \(10\), degree \(4\), not 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: | \(3.86475945783\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | 16.0.26873856000000000000.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2x^{14} + 8x^{10} - 16x^{8} + 32x^{6} - 128x^{2} + 256 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | no (minimal twist has level 44) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 239.2 | ||
Root | \(1.38331 - 0.294032i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 484.239 |
Dual form | 484.2.g.g.403.2 |
$q$-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 \(\left(\mathbb{Z}/484\mathbb{Z}\right)^\times\).
\(n\) | \(243\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.147826 | − | 1.40647i | −0.104528 | − | 0.994522i | ||||
\(3\) | −1.64728 | + | 0.535233i | −0.951057 | + | 0.309017i | −0.743145 | − | 0.669131i | \(-0.766667\pi\) |
−0.207912 | + | 0.978148i | \(0.566667\pi\) | |||||||
\(4\) | −1.95630 | + | 0.415823i | −0.978148 | + | 0.207912i | ||||
\(5\) | 0.809017 | + | 0.587785i | 0.361803 | + | 0.262866i | 0.753804 | − | 0.657099i | \(-0.228217\pi\) |
−0.392000 | + | 0.919965i | \(0.628217\pi\) | |||||||
\(6\) | 0.996297 | + | 2.23772i | 0.406737 | + | 0.913545i | ||||
\(7\) | 0.874032 | − | 2.68999i | 0.330353 | − | 1.01672i | −0.638613 | − | 0.769528i | \(-0.720491\pi\) |
0.968966 | − | 0.247194i | \(-0.0795085\pi\) | |||||||
\(8\) | 0.874032 | + | 2.68999i | 0.309017 | + | 0.951057i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.707107 | − | 1.22474i | 0.223607 | − | 0.387298i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 3.00000 | − | 1.73205i | 0.866025 | − | 0.500000i | ||||
\(13\) | 2.87955 | + | 3.96336i | 0.798643 | + | 1.09924i | 0.992978 | + | 0.118302i | \(0.0377452\pi\) |
−0.194335 | + | 0.980935i | \(0.562255\pi\) | |||||||
\(14\) | −3.91259 | − | 0.831647i | −1.04568 | − | 0.222267i | ||||
\(15\) | −1.64728 | − | 0.535233i | −0.425325 | − | 0.138197i | ||||
\(16\) | 3.65418 | − | 1.62695i | 0.913545 | − | 0.406737i | ||||
\(17\) | 2.87955 | − | 3.96336i | 0.698393 | − | 0.961255i | −0.301577 | − | 0.953442i | \(-0.597513\pi\) |
0.999969 | − | 0.00781345i | \(-0.00248712\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.874032 | − | 2.68999i | −0.200517 | − | 0.617127i | −0.999868 | − | 0.0162627i | \(-0.994823\pi\) |
0.799351 | − | 0.600864i | \(-0.205177\pi\) | |||||||
\(20\) | −1.82709 | − | 0.813473i | −0.408550 | − | 0.181898i | ||||
\(21\) | 4.89898i | 1.06904i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − | 5.19615i | − | 1.08347i | −0.840548 | − | 0.541736i | \(-0.817767\pi\) | ||
0.840548 | − | 0.541736i | \(-0.182233\pi\) | |||||||
\(24\) | −2.87955 | − | 3.96336i | −0.587785 | − | 0.809017i | ||||
\(25\) | −1.23607 | − | 3.80423i | −0.247214 | − | 0.760845i | ||||
\(26\) | 5.14866 | − | 4.63587i | 1.00973 | − | 0.909169i | ||||
\(27\) | 3.05422 | − | 4.20378i | 0.587785 | − | 0.809017i | ||||
\(28\) | −0.591302 | + | 5.62587i | −0.111746 | + | 1.06319i | ||||
\(29\) | 0 | 0 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(30\) | −0.509278 | + | 2.39596i | −0.0929809 | + | 0.437441i | ||||
\(31\) | −1.01807 | − | 1.40126i | −0.182851 | − | 0.251673i | 0.707745 | − | 0.706468i | \(-0.249713\pi\) |
−0.890596 | + | 0.454795i | \(0.849713\pi\) | |||||||
\(32\) | −2.82843 | − | 4.89898i | −0.500000 | − | 0.866025i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −6.00000 | − | 3.46410i | −1.02899 | − | 0.594089i | ||||
\(35\) | 2.28825 | − | 1.66251i | 0.386784 | − | 0.281015i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.927051 | − | 2.85317i | 0.152406 | − | 0.469058i | −0.845483 | − | 0.534003i | \(-0.820687\pi\) |
0.997889 | + | 0.0649448i | \(0.0206871\pi\) | |||||||
\(38\) | −3.65418 | + | 1.62695i | −0.592787 | + | 0.263926i | ||||
\(39\) | −6.86474 | − | 4.98752i | −1.09924 | − | 0.798643i | ||||
\(40\) | −0.874032 | + | 2.68999i | −0.138197 | + | 0.425325i | ||||
\(41\) | 4.65921 | − | 1.51387i | 0.727646 | − | 0.236426i | 0.0783108 | − | 0.996929i | \(-0.475047\pi\) |
0.649335 | + | 0.760503i | \(0.275047\pi\) | |||||||
\(42\) | 6.89025 | − | 0.724194i | 1.06319 | − | 0.111746i | ||||
\(43\) | 5.65685 | 0.862662 | 0.431331 | − | 0.902194i | \(-0.358044\pi\) | ||||
0.431331 | + | 0.902194i | \(0.358044\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.30821 | + | 0.768124i | −1.07754 | + | 0.113254i | ||||
\(47\) | −3.29456 | + | 1.07047i | −0.480560 | + | 0.156144i | −0.539272 | − | 0.842131i | \(-0.681301\pi\) |
0.0587119 | + | 0.998275i | \(0.481301\pi\) | |||||||
\(48\) | −5.14866 | + | 4.63587i | −0.743145 | + | 0.669131i | ||||
\(49\) | −0.809017 | − | 0.587785i | −0.115574 | − | 0.0839693i | ||||
\(50\) | −5.16779 | + | 2.30085i | −0.730836 | + | 0.325389i | ||||
\(51\) | −2.62210 | + | 8.06998i | −0.367167 | + | 1.13002i | ||||
\(52\) | −7.28130 | − | 6.55611i | −1.00973 | − | 0.909169i | ||||
\(53\) | 1.61803 | − | 1.17557i | 0.222254 | − | 0.161477i | −0.471087 | − | 0.882087i | \(-0.656138\pi\) |
0.693341 | + | 0.720610i | \(0.256138\pi\) | |||||||
\(54\) | −6.36396 | − | 3.67423i | −0.866025 | − | 0.500000i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 8.00000 | 1.06904 | ||||||||
\(57\) | 2.87955 | + | 3.96336i | 0.381405 | + | 0.524960i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.64728 | + | 0.535233i | 0.214457 | + | 0.0696814i | 0.414275 | − | 0.910152i | \(-0.364035\pi\) |
−0.199818 | + | 0.979833i | \(0.564035\pi\) | |||||||
\(60\) | 3.44512 | + | 0.362097i | 0.444764 | + | 0.0467465i | ||||
\(61\) | 5.75910 | − | 7.92672i | 0.737377 | − | 1.01491i | −0.261389 | − | 0.965234i | \(-0.584180\pi\) |
0.998765 | − | 0.0496783i | \(-0.0158196\pi\) | |||||||
\(62\) | −1.82033 | + | 1.63903i | −0.231182 | + | 0.208157i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.47214 | + | 4.70228i | −0.809017 | + | 0.587785i | ||||
\(65\) | 4.89898i | 0.607644i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.66025i | 1.05802i | 0.848616 | + | 0.529009i | \(0.177436\pi\) | ||||
−0.848616 | + | 0.529009i | \(0.822564\pi\) | |||||||
\(68\) | −3.98519 | + | 8.95088i | −0.483275 | + | 1.08545i | ||||
\(69\) | 2.78115 | + | 8.55951i | 0.334811 | + | 1.03044i | ||||
\(70\) | −2.67652 | − | 2.97258i | −0.319906 | − | 0.355291i | ||||
\(71\) | −7.12652 | + | 9.80881i | −0.845762 | + | 1.16409i | 0.139019 | + | 0.990290i | \(0.455605\pi\) |
−0.984781 | + | 0.173802i | \(0.944395\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.65921 | + | 1.51387i | 0.545319 | + | 0.177185i | 0.568705 | − | 0.822542i | \(-0.307445\pi\) |
−0.0233860 | + | 0.999727i | \(0.507445\pi\) | |||||||
\(74\) | −4.14993 | − | 0.882095i | −0.482419 | − | 0.102541i | ||||
\(75\) | 4.07230 | + | 5.60503i | 0.470228 | + | 0.647214i | ||||
\(76\) | 2.82843 | + | 4.89898i | 0.324443 | + | 0.561951i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −6.00000 | + | 10.3923i | −0.679366 | + | 1.17670i | ||||
\(79\) | 9.15298 | − | 6.65003i | 1.02979 | − | 0.748187i | 0.0615241 | − | 0.998106i | \(-0.480404\pi\) |
0.968267 | + | 0.249919i | \(0.0804039\pi\) | |||||||
\(80\) | 3.91259 | + | 0.831647i | 0.437441 | + | 0.0929809i | ||||
\(81\) | −2.78115 | + | 8.55951i | −0.309017 | + | 0.951057i | ||||
\(82\) | −2.81795 | − | 6.32923i | −0.311191 | − | 0.698946i | ||||
\(83\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(84\) | −2.03711 | − | 9.58385i | −0.222267 | − | 1.04568i | ||||
\(85\) | 4.65921 | − | 1.51387i | 0.505362 | − | 0.164202i | ||||
\(86\) | −0.836228 | − | 7.95618i | −0.0901728 | − | 0.857936i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.00000 | −0.106000 | −0.0529999 | − | 0.998595i | \(-0.516878\pi\) | ||||
−0.0529999 | + | 0.998595i | \(0.516878\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 13.1782 | − | 4.28187i | 1.38145 | − | 0.448861i | ||||
\(92\) | 2.16068 | + | 10.1652i | 0.225267 | + | 1.05980i | ||||
\(93\) | 2.42705 | + | 1.76336i | 0.251673 | + | 0.182851i | ||||
\(94\) | 1.99259 | + | 4.47544i | 0.205520 | + | 0.461606i | ||||
\(95\) | 0.874032 | − | 2.68999i | 0.0896738 | − | 0.275988i | ||||
\(96\) | 7.28130 | + | 6.55611i | 0.743145 | + | 0.669131i | ||||
\(97\) | −5.66312 | + | 4.11450i | −0.575003 | + | 0.417764i | −0.836919 | − | 0.547327i | \(-0.815646\pi\) |
0.261916 | + | 0.965091i | \(0.415646\pi\) | |||||||
\(98\) | −0.707107 | + | 1.22474i | −0.0714286 | + | 0.123718i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.00000 | + | 6.92820i | 0.400000 | + | 0.692820i | ||||
\(101\) | −2.87955 | − | 3.96336i | −0.286526 | − | 0.394369i | 0.641356 | − | 0.767243i | \(-0.278372\pi\) |
−0.927882 | + | 0.372875i | \(0.878372\pi\) | |||||||
\(102\) | 11.7378 | + | 2.49494i | 1.16221 | + | 0.247036i | ||||
\(103\) | 3.29456 | + | 1.07047i | 0.324622 | + | 0.105476i | 0.466795 | − | 0.884366i | \(-0.345409\pi\) |
−0.142172 | + | 0.989842i | \(0.545409\pi\) | |||||||
\(104\) | −8.14459 | + | 11.2101i | −0.798643 | + | 1.09924i | ||||
\(105\) | −2.87955 | + | 3.96336i | −0.281015 | + | 0.386784i | ||||
\(106\) | −1.89259 | − | 2.10193i | −0.183824 | − | 0.204158i | ||||
\(107\) | 2.62210 | + | 8.06998i | 0.253488 | + | 0.780155i | 0.994124 | + | 0.108248i | \(0.0345242\pi\) |
−0.740636 | + | 0.671906i | \(0.765476\pi\) | |||||||
\(108\) | −4.22693 | + | 9.49384i | −0.406737 | + | 0.913545i | ||||
\(109\) | − | 9.79796i | − | 0.938474i | −0.883072 | − | 0.469237i | \(-0.844529\pi\) | ||
0.883072 | − | 0.469237i | \(-0.155471\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.19615i | 0.493197i | ||||||||
\(112\) | −1.18260 | − | 11.2517i | −0.111746 | − | 1.06319i | ||||
\(113\) | −1.54508 | − | 4.75528i | −0.145349 | − | 0.447339i | 0.851706 | − | 0.524019i | \(-0.175568\pi\) |
−0.997056 | + | 0.0766799i | \(0.975568\pi\) | |||||||
\(114\) | 5.14866 | − | 4.63587i | 0.482216 | − | 0.434189i | ||||
\(115\) | 3.05422 | − | 4.20378i | 0.284808 | − | 0.392004i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.509278 | − | 2.39596i | 0.0468828 | − | 0.220566i | ||||
\(119\) | −8.14459 | − | 11.2101i | −0.746613 | − | 1.02763i | ||||
\(120\) | − | 4.89898i | − | 0.447214i | ||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −12.0000 | − | 6.92820i | −1.08643 | − | 0.627250i | ||||
\(123\) | −6.86474 | + | 4.98752i | −0.618972 | + | 0.449710i | ||||
\(124\) | 2.57433 | + | 2.31794i | 0.231182 | + | 0.208157i | ||||
\(125\) | 2.78115 | − | 8.55951i | 0.248754 | − | 0.765586i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 11.4412 | + | 8.31254i | 1.01524 | + | 0.737619i | 0.965303 | − | 0.261134i | \(-0.0840963\pi\) |
0.0499421 | + | 0.998752i | \(0.484096\pi\) | |||||||
\(128\) | 7.57035 | + | 8.40772i | 0.669131 | + | 0.743145i | ||||
\(129\) | −9.31841 | + | 3.02774i | −0.820440 | + | 0.266577i | ||||
\(130\) | 6.89025 | − | 0.724194i | 0.604315 | − | 0.0635161i | ||||
\(131\) | −2.82843 | −0.247121 | −0.123560 | − | 0.992337i | \(-0.539431\pi\) | ||||
−0.123560 | + | 0.992337i | \(0.539431\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.00000 | −0.693688 | ||||||||
\(134\) | 12.1804 | − | 1.28021i | 1.05222 | − | 0.110593i | ||||
\(135\) | 4.94183 | − | 1.60570i | 0.425325 | − | 0.138197i | ||||
\(136\) | 13.1782 | + | 4.28187i | 1.13002 | + | 0.367167i | ||||
\(137\) | −15.3713 | − | 11.1679i | −1.31326 | − | 0.954140i | −0.999990 | − | 0.00447593i | \(-0.998575\pi\) |
−0.313271 | − | 0.949664i | \(-0.601425\pi\) | |||||||
\(138\) | 11.6275 | − | 5.17691i | 0.989802 | − | 0.440688i | ||||
\(139\) | 6.11822 | − | 18.8300i | 0.518941 | − | 1.59714i | −0.257054 | − | 0.966397i | \(-0.582752\pi\) |
0.775995 | − | 0.630739i | \(-0.217248\pi\) | |||||||
\(140\) | −3.78517 | + | 4.20386i | −0.319906 | + | 0.355291i | ||||
\(141\) | 4.85410 | − | 3.52671i | 0.408789 | − | 0.297003i | ||||
\(142\) | 14.8492 | + | 8.57321i | 1.24612 | + | 0.719448i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 1.44045 | − | 6.77681i | 0.119213 | − | 0.560852i | ||||
\(147\) | 1.64728 | + | 0.535233i | 0.135865 | + | 0.0441453i | ||||
\(148\) | −0.627171 | + | 5.96713i | −0.0515531 | + | 0.490495i | ||||
\(149\) | −8.63864 | + | 11.8901i | −0.707705 | + | 0.974073i | 0.292138 | + | 0.956376i | \(0.405633\pi\) |
−0.999843 | + | 0.0176966i | \(0.994367\pi\) | |||||||
\(150\) | 7.28130 | − | 6.55611i | 0.594516 | − | 0.535304i | ||||
\(151\) | −1.74806 | − | 5.37999i | −0.142255 | − | 0.437817i | 0.854392 | − | 0.519628i | \(-0.173930\pi\) |
−0.996648 | + | 0.0818111i | \(0.973930\pi\) | |||||||
\(152\) | 6.47214 | − | 4.70228i | 0.524960 | − | 0.381405i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | − | 1.73205i | − | 0.139122i | ||||||
\(156\) | 15.5034 | + | 6.90255i | 1.24126 | + | 0.552646i | ||||
\(157\) | 3.39919 | + | 10.4616i | 0.271285 | + | 0.834928i | 0.990179 | + | 0.139808i | \(0.0446487\pi\) |
−0.718894 | + | 0.695120i | \(0.755351\pi\) | |||||||
\(158\) | −10.7061 | − | 11.8903i | −0.851731 | − | 0.945943i | ||||
\(159\) | −2.03615 | + | 2.80252i | −0.161477 | + | 0.222254i | ||||
\(160\) | 0.591302 | − | 5.62587i | 0.0467465 | − | 0.444764i | ||||
\(161\) | −13.9776 | − | 4.54160i | −1.10159 | − | 0.357929i | ||||
\(162\) | 12.4498 | + | 2.64628i | 0.978148 | + | 0.207912i | ||||
\(163\) | 10.1807 | + | 14.0126i | 0.797417 | + | 1.09755i | 0.993145 | + | 0.116892i | \(0.0372932\pi\) |
−0.195728 | + | 0.980658i | \(0.562707\pi\) | |||||||
\(164\) | −8.48528 | + | 4.89898i | −0.662589 | + | 0.382546i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −16.0177 | + | 11.6376i | −1.23949 | + | 0.900541i | −0.997564 | − | 0.0697542i | \(-0.977779\pi\) |
−0.241924 | + | 0.970295i | \(0.577779\pi\) | |||||||
\(168\) | −13.1782 | + | 4.28187i | −1.01672 | + | 0.330353i | ||||
\(169\) | −3.39919 | + | 10.4616i | −0.261476 | + | 0.804740i | ||||
\(170\) | −2.81795 | − | 6.32923i | −0.216127 | − | 0.485430i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −11.0665 | + | 2.35225i | −0.843811 | + | 0.179358i | ||||
\(173\) | −9.31841 | + | 3.02774i | −0.708466 | + | 0.230194i | −0.641015 | − | 0.767528i | \(-0.721486\pi\) |
−0.0674505 | + | 0.997723i | \(0.521486\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −11.3137 | −0.855236 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −3.00000 | −0.225494 | ||||||||
\(178\) | 0.147826 | + | 1.40647i | 0.0110800 | + | 0.105419i | ||||
\(179\) | −8.23639 | + | 2.67617i | −0.615617 | + | 0.200026i | −0.600193 | − | 0.799855i | \(-0.704910\pi\) |
−0.0154235 | + | 0.999881i | \(0.504910\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 16.9894 | + | 12.3435i | 1.26281 | + | 0.917484i | 0.998892 | − | 0.0470610i | \(-0.0149855\pi\) |
0.263917 | + | 0.964545i | \(0.414986\pi\) | |||||||
\(182\) | −7.97038 | − | 17.9018i | −0.590804 | − | 1.32697i | ||||
\(183\) | −5.24419 | + | 16.1400i | −0.387662 | + | 1.19310i | ||||
\(184\) | 13.9776 | − | 4.54160i | 1.03044 | − | 0.334811i | ||||
\(185\) | 2.42705 | − | 1.76336i | 0.178440 | − | 0.129644i | ||||
\(186\) | 2.12132 | − | 3.67423i | 0.155543 | − | 0.269408i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 6.00000 | − | 3.46410i | 0.437595 | − | 0.252646i | ||||
\(189\) | −8.63864 | − | 11.8901i | −0.628369 | − | 0.864876i | ||||
\(190\) | −3.91259 | − | 0.831647i | −0.283849 | − | 0.0603340i | ||||
\(191\) | −4.94183 | − | 1.60570i | −0.357579 | − | 0.116184i | 0.124718 | − | 0.992192i | \(-0.460197\pi\) |
−0.482297 | + | 0.876008i | \(0.660197\pi\) | |||||||
\(192\) | 8.14459 | − | 11.2101i | 0.587785 | − | 0.809017i | ||||
\(193\) | −5.75910 | + | 7.92672i | −0.414549 | + | 0.570577i | −0.964321 | − | 0.264737i | \(-0.914715\pi\) |
0.549772 | + | 0.835315i | \(0.314715\pi\) | |||||||
\(194\) | 6.62406 | + | 7.35676i | 0.475579 | + | 0.528184i | ||||
\(195\) | −2.62210 | − | 8.06998i | −0.187772 | − | 0.577903i | ||||
\(196\) | 1.82709 | + | 0.813473i | 0.130506 | + | 0.0581052i | ||||
\(197\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 10.3923i | − | 0.736691i | −0.929689 | − | 0.368345i | \(-0.879924\pi\) | ||
0.929689 | − | 0.368345i | \(-0.120076\pi\) | |||||||
\(200\) | 9.15298 | − | 6.65003i | 0.647214 | − | 0.470228i | ||||
\(201\) | −4.63525 | − | 14.2658i | −0.326946 | − | 1.00624i | ||||
\(202\) | −5.14866 | + | 4.63587i | −0.362258 | + | 0.326179i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 1.77391 | − | 16.8776i | 0.124198 | − | 1.18167i | ||||
\(205\) | 4.65921 | + | 1.51387i | 0.325413 | + | 0.105733i | ||||
\(206\) | 1.01856 | − | 4.79193i | 0.0709661 | − | 0.333869i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 16.9706 | + | 9.79796i | 1.17670 | + | 0.679366i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 6.00000 | + | 3.46410i | 0.414039 | + | 0.239046i | ||||
\(211\) | −4.57649 | + | 3.32502i | −0.315059 | + | 0.228904i | −0.734064 | − | 0.679080i | \(-0.762379\pi\) |
0.419005 | + | 0.907984i | \(0.362379\pi\) | |||||||
\(212\) | −2.67652 | + | 2.97258i | −0.183824 | + | 0.204158i | ||||
\(213\) | 6.48936 | − | 19.9722i | 0.444643 | − | 1.36847i | ||||
\(214\) | 10.9625 | − | 4.88084i | 0.749384 | − | 0.333647i | ||||
\(215\) | 4.57649 | + | 3.32502i | 0.312114 | + | 0.226764i | ||||
\(216\) | 13.9776 | + | 4.54160i | 0.951057 | + | 0.309017i | ||||
\(217\) | −4.65921 | + | 1.51387i | −0.316288 | + | 0.102768i | ||||
\(218\) | −13.7805 | + | 1.44839i | −0.933333 | + | 0.0980973i | ||||
\(219\) | −8.48528 | −0.573382 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 24.0000 | 1.61441 | ||||||||
\(222\) | 7.30821 | − | 0.768124i | 0.490495 | − | 0.0515531i | ||||
\(223\) | −21.4146 | + | 6.95803i | −1.43403 | + | 0.465944i | −0.920030 | − | 0.391847i | \(-0.871836\pi\) |
−0.513998 | + | 0.857791i | \(0.671836\pi\) | |||||||
\(224\) | −15.6504 | + | 3.32659i | −1.04568 | + | 0.222267i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.45974 | + | 2.87606i | −0.429696 | + | 0.191313i | ||||
\(227\) | −2.62210 | + | 8.06998i | −0.174035 | + | 0.535624i | −0.999588 | − | 0.0287004i | \(-0.990863\pi\) |
0.825553 | + | 0.564324i | \(0.190863\pi\) | |||||||
\(228\) | −7.28130 | − | 6.55611i | −0.482216 | − | 0.434189i | ||||
\(229\) | 0.809017 | − | 0.587785i | 0.0534613 | − | 0.0388419i | −0.560734 | − | 0.827996i | \(-0.689481\pi\) |
0.614195 | + | 0.789154i | \(0.289481\pi\) | |||||||
\(230\) | −6.36396 | − | 3.67423i | −0.419627 | − | 0.242272i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −11.5182 | − | 15.8534i | −0.754582 | − | 1.03859i | −0.997645 | − | 0.0685824i | \(-0.978152\pi\) |
0.243064 | − | 0.970010i | \(-0.421848\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.29456 | − | 1.07047i | −0.214913 | − | 0.0698295i | ||||
\(236\) | −3.44512 | − | 0.362097i | −0.224259 | − | 0.0235705i | ||||
\(237\) | −11.5182 | + | 15.8534i | −0.748187 | + | 1.02979i | ||||
\(238\) | −14.5626 | + | 13.1122i | −0.943953 | + | 0.849940i | ||||
\(239\) | 1.74806 | + | 5.37999i | 0.113073 | + | 0.348003i | 0.991540 | − | 0.129800i | \(-0.0414335\pi\) |
−0.878467 | + | 0.477802i | \(0.841433\pi\) | |||||||
\(240\) | −6.89025 | + | 0.724194i | −0.444764 | + | 0.0467465i | ||||
\(241\) | − | 29.3939i | − | 1.89343i | −0.322078 | − | 0.946713i | \(-0.604381\pi\) | ||
0.322078 | − | 0.946713i | \(-0.395619\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −7.97038 | + | 17.9018i | −0.510251 | + | 1.14604i | ||||
\(245\) | −0.309017 | − | 0.951057i | −0.0197424 | − | 0.0607608i | ||||
\(246\) | 8.02957 | + | 8.91774i | 0.511947 | + | 0.568574i | ||||
\(247\) | 8.14459 | − | 11.2101i | 0.518228 | − | 0.713280i | ||||
\(248\) | 2.87955 | − | 3.96336i | 0.182851 | − | 0.251673i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −12.4498 | − | 2.64628i | −0.787394 | − | 0.167366i | ||||
\(251\) | −13.2350 | − | 18.2164i | −0.835383 | − | 1.14981i | −0.986897 | − | 0.161351i | \(-0.948415\pi\) |
0.151514 | − | 0.988455i | \(-0.451585\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 10.0000 | − | 17.3205i | 0.627456 | − | 1.08679i | ||||
\(255\) | −6.86474 | + | 4.98752i | −0.429886 | + | 0.312331i | ||||
\(256\) | 10.7061 | − | 11.8903i | 0.669131 | − | 0.743145i | ||||
\(257\) | −6.79837 | + | 20.9232i | −0.424071 | + | 1.30516i | 0.479810 | + | 0.877372i | \(0.340706\pi\) |
−0.903881 | + | 0.427784i | \(0.859294\pi\) | |||||||
\(258\) | 5.63591 | + | 12.6585i | 0.350876 | + | 0.788081i | ||||
\(259\) | −6.86474 | − | 4.98752i | −0.426554 | − | 0.309910i | ||||
\(260\) | −2.03711 | − | 9.58385i | −0.126336 | − | 0.594365i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.418114 | + | 3.97809i | 0.0258312 | + | 0.245767i | ||||
\(263\) | 14.1421 | 0.872041 | 0.436021 | − | 0.899937i | \(-0.356387\pi\) | ||||
0.436021 | + | 0.899937i | \(0.356387\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.00000 | 0.122859 | ||||||||
\(266\) | 1.18260 | + | 11.2517i | 0.0725101 | + | 0.689888i | ||||
\(267\) | 1.64728 | − | 0.535233i | 0.100812 | − | 0.0327557i | ||||
\(268\) | −3.60114 | − | 16.9420i | −0.219974 | − | 1.03490i | ||||
\(269\) | 8.09017 | + | 5.87785i | 0.493266 | + | 0.358379i | 0.806439 | − | 0.591317i | \(-0.201392\pi\) |
−0.313173 | + | 0.949696i | \(0.601392\pi\) | |||||||
\(270\) | −2.98889 | − | 6.71316i | −0.181898 | − | 0.408550i | ||||
\(271\) | −0.874032 | + | 2.68999i | −0.0530937 | + | 0.163406i | −0.974087 | − | 0.226172i | \(-0.927379\pi\) |
0.920994 | + | 0.389577i | \(0.127379\pi\) | |||||||
\(272\) | 4.07422 | − | 19.1677i | 0.247036 | − | 1.16221i | ||||
\(273\) | −19.4164 | + | 14.1068i | −1.17513 | + | 0.853785i | ||||
\(274\) | −13.4350 | + | 23.2702i | −0.811640 | + | 1.40580i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −9.00000 | − | 15.5885i | −0.541736 | − | 0.938315i | ||||
\(277\) | 5.75910 | + | 7.92672i | 0.346031 | + | 0.476270i | 0.946191 | − | 0.323610i | \(-0.104896\pi\) |
−0.600160 | + | 0.799880i | \(0.704896\pi\) | |||||||
\(278\) | −27.3881 | − | 5.82153i | −1.64263 | − | 0.349152i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.47214 | + | 4.70228i | 0.386784 | + | 0.281015i | ||||
\(281\) | 0 | 0 | −0.809017 | − | 0.587785i | \(-0.800000\pi\) | ||||
0.809017 | + | 0.587785i | \(0.200000\pi\) | |||||||
\(282\) | −5.67776 | − | 6.30579i | −0.338106 | − | 0.375505i | ||||
\(283\) | 3.49613 | + | 10.7600i | 0.207823 | + | 0.639614i | 0.999586 | + | 0.0287850i | \(0.00916381\pi\) |
−0.791762 | + | 0.610829i | \(0.790836\pi\) | |||||||
\(284\) | 9.86284 | − | 22.1523i | 0.585252 | − | 1.31450i | ||||
\(285\) | 4.89898i | 0.290191i | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 13.8564i | − | 0.817918i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.16312 | − | 6.65740i | −0.127242 | − | 0.391612i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 7.12652 | − | 9.80881i | 0.417764 | − | 0.575003i | ||||
\(292\) | −9.74428 | − | 1.02417i | −0.570241 | − | 0.0599348i | ||||
\(293\) | −4.65921 | − | 1.51387i | −0.272194 | − | 0.0884411i | 0.169740 | − | 0.985489i | \(-0.445707\pi\) |
−0.441934 | + | 0.897048i | \(0.645707\pi\) | |||||||
\(294\) | 0.509278 | − | 2.39596i | 0.0297017 | − | 0.139735i | ||||
\(295\) | 1.01807 | + | 1.40126i | 0.0592746 | + | 0.0815844i | ||||
\(296\) | 8.48528 | 0.493197 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 18.0000 | + | 10.3923i | 1.04271 | + | 0.602010i | ||||
\(299\) | 20.5942 | − | 14.9626i | 1.19099 | − | 0.865308i | ||||
\(300\) | −10.2973 | − | 9.27175i | −0.594516 | − | 0.535304i | ||||
\(301\) | 4.94427 | − | 15.2169i | 0.284983 | − | 0.877088i | ||||
\(302\) | −7.30836 | + | 3.25389i | −0.420549 | + | 0.187241i | ||||
\(303\) | 6.86474 | + | 4.98752i | 0.394369 | + | 0.286526i | ||||
\(304\) | −7.57035 | − | 8.40772i | −0.434189 | − | 0.482216i | ||||
\(305\) | 9.31841 | − | 3.02774i | 0.533571 | − | 0.173368i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −19.7990 | −1.12999 | −0.564994 | − | 0.825095i | \(-0.691122\pi\) | ||||
−0.564994 | + | 0.825095i | \(0.691122\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −6.00000 | −0.341328 | ||||||||
\(310\) | −2.43607 | + | 0.256041i | −0.138360 | + | 0.0145422i | ||||
\(311\) | 9.88367 | − | 3.21140i | 0.560451 | − | 0.182102i | −0.0150728 | − | 0.999886i | \(-0.504798\pi\) |
0.575524 | + | 0.817785i | \(0.304798\pi\) | |||||||
\(312\) | 7.41641 | − | 22.8254i | 0.419871 | − | 1.29223i | ||||
\(313\) | −21.8435 | − | 15.8702i | −1.23467 | − | 0.897037i | −0.237434 | − | 0.971404i | \(-0.576306\pi\) |
−0.997231 | + | 0.0743667i | \(0.976306\pi\) | |||||||
\(314\) | 14.2114 | − | 6.32734i | 0.801998 | − | 0.357072i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −15.1407 | + | 16.8154i | −0.851731 | + | 0.945943i | ||||
\(317\) | 20.2254 | − | 14.6946i | 1.13597 | − | 0.825333i | 0.149420 | − | 0.988774i | \(-0.452259\pi\) |
0.986553 | + | 0.163441i | \(0.0522594\pi\) | |||||||
\(318\) | 4.24264 | + | 2.44949i | 0.237915 | + | 0.137361i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −8.00000 | −0.447214 | ||||||||
\(321\) | −8.63864 | − | 11.8901i | −0.482162 | − | 0.663639i | ||||
\(322\) | −4.32136 | + | 20.3304i | −0.240820 | + | 1.13297i | ||||
\(323\) | −13.1782 | − | 4.28187i | −0.733256 | − | 0.238249i | ||||
\(324\) | 1.88151 | − | 17.9014i | 0.104528 | − | 0.994522i | ||||
\(325\) | 11.5182 | − | 15.8534i | 0.638914 | − | 0.879390i | ||||
\(326\) | 18.2033 | − | 16.3903i | 1.00819 | − | 0.907774i | ||||
\(327\) | 5.24419 | + | 16.1400i | 0.290004 | + | 0.892542i | ||||
\(328\) | 8.14459 | + | 11.2101i | 0.449710 | + | 0.618972i | ||||
\(329\) | 9.79796i | 0.540179i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 5.19615i | − | 0.285606i | −0.989751 | − | 0.142803i | \(-0.954388\pi\) | ||
0.989751 | − | 0.142803i | \(-0.0456116\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 18.7357 | + | 20.8081i | 1.02517 | + | 1.13857i | ||||
\(335\) | −5.09037 | + | 7.00629i | −0.278117 | + | 0.382795i | ||||
\(336\) | 7.97038 | + | 17.9018i | 0.434820 | + | 0.976621i | ||||
\(337\) | 32.6144 | + | 10.5971i | 1.77662 | + | 0.577259i | 0.998694 | − | 0.0510938i | \(-0.0162707\pi\) |
0.777928 | + | 0.628353i | \(0.216271\pi\) | |||||||
\(338\) | 15.2164 | + | 3.23435i | 0.827663 | + | 0.175925i | ||||
\(339\) | 5.09037 | + | 7.00629i | 0.276471 | + | 0.380530i | ||||
\(340\) | −8.48528 | + | 4.89898i | −0.460179 | + | 0.265684i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.7295 | − | 9.97505i | 0.741322 | − | 0.538602i | ||||
\(344\) | 4.94427 | + | 15.2169i | 0.266577 | + | 0.820440i | ||||
\(345\) | −2.78115 | + | 8.55951i | −0.149732 | + | 0.460828i | ||||
\(346\) | 5.63591 | + | 12.6585i | 0.302988 | + | 0.680523i | ||||
\(347\) | 20.5942 | + | 14.9626i | 1.10556 | + | 0.803233i | 0.981958 | − | 0.189100i | \(-0.0605569\pi\) |
0.123597 | + | 0.992332i | \(0.460557\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.65921 | − | 1.51387i | 0.249402 | − | 0.0810355i | −0.181648 | − | 0.983364i | \(-0.558143\pi\) |
0.431050 | + | 0.902328i | \(0.358143\pi\) | |||||||
\(350\) | 1.67246 | + | 15.9124i | 0.0893965 | + | 0.850551i | ||||
\(351\) | 25.4558 | 1.35873 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −17.0000 | −0.904819 | −0.452409 | − | 0.891810i | \(-0.649435\pi\) | ||||
−0.452409 | + | 0.891810i | \(0.649435\pi\) | |||||||
\(354\) | 0.443477 | + | 4.21940i | 0.0235705 | + | 0.224259i | ||||
\(355\) | −11.5309 | + | 3.74663i | −0.611999 | + | 0.198851i | ||||
\(356\) | 1.95630 | − | 0.415823i | 0.103683 | − | 0.0220386i | ||||
\(357\) | 19.4164 | + | 14.1068i | 1.02763 | + | 0.746613i | ||||
\(358\) | 4.98149 | + | 11.1886i | 0.263280 | + | 0.591336i | ||||
\(359\) | 2.62210 | − | 8.06998i | 0.138389 | − | 0.425917i | −0.857713 | − | 0.514129i | \(-0.828115\pi\) |
0.996102 | + | 0.0882117i | \(0.0281152\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.89919 | − | 6.46564i | 0.468378 | − | 0.340297i | ||||
\(362\) | 14.8492 | − | 25.7196i | 0.780459 | − | 1.35179i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −24.0000 | + | 13.8564i | −1.25794 | + | 0.726273i | ||||
\(365\) | 2.87955 | + | 3.96336i | 0.150722 | + | 0.207452i | ||||
\(366\) | 23.4755 | + | 4.98988i | 1.22709 | + | 0.260825i | ||||
\(367\) | 1.64728 | + | 0.535233i | 0.0859872 | + | 0.0279389i | 0.351695 | − | 0.936115i | \(-0.385606\pi\) |
−0.265707 | + | 0.964054i | \(0.585606\pi\) | |||||||
\(368\) | −8.45386 | − | 18.9877i | −0.440688 | − | 0.989802i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2.83888 | − | 3.15290i | −0.147586 | − | 0.163911i | ||||
\(371\) | −1.74806 | − | 5.37999i | −0.0907550 | − | 0.279315i | ||||
\(372\) | −5.48127 | − | 2.44042i | −0.284191 | − | 0.126530i | ||||
\(373\) | − | 14.6969i | − | 0.760979i | −0.924785 | − | 0.380489i | \(-0.875756\pi\) | ||
0.924785 | − | 0.380489i | \(-0.124244\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 15.5885i | 0.804984i | ||||||||
\(376\) | −5.75910 | − | 7.92672i | −0.297003 | − | 0.408789i | ||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −15.4460 | + | 13.9076i | −0.794455 | + | 0.715331i | ||||
\(379\) | −7.12652 | + | 9.80881i | −0.366065 | + | 0.503845i | −0.951826 | − | 0.306639i | \(-0.900796\pi\) |
0.585761 | + | 0.810484i | \(0.300796\pi\) | |||||||
\(380\) | −0.591302 | + | 5.62587i | −0.0303332 | + | 0.288601i | ||||
\(381\) | −23.2960 | − | 7.56934i | −1.19349 | − | 0.387789i | ||||
\(382\) | −1.52783 | + | 7.18789i | −0.0781707 | + | 0.367764i | ||||
\(383\) | 19.3434 | + | 26.6239i | 0.988402 | + | 1.36042i | 0.932178 | + | 0.362000i | \(0.117906\pi\) |
0.0562238 | + | 0.998418i | \(0.482094\pi\) | |||||||
\(384\) | −16.9706 | − | 9.79796i | −0.866025 | − | 0.500000i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 12.0000 | + | 6.92820i | 0.610784 | + | 0.352636i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 9.36783 | − | 10.4040i | 0.475579 | − | 0.528184i | ||||
\(389\) | 5.87132 | − | 18.0701i | 0.297688 | − | 0.916189i | −0.684617 | − | 0.728903i | \(-0.740031\pi\) |
0.982305 | − | 0.187287i | \(-0.0599693\pi\) | |||||||
\(390\) | −10.9625 | + | 4.88084i | −0.555110 | + | 0.247151i | ||||
\(391\) | −20.5942 | − | 14.9626i | −1.04149 | − | 0.756690i | ||||
\(392\) | 0.874032 | − | 2.68999i | 0.0441453 | − | 0.135865i | ||||
\(393\) | 4.65921 | − | 1.51387i | 0.235026 | − | 0.0763645i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 11.3137 | 0.569254 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.00000 | 0.301131 | 0.150566 | − | 0.988600i | \(-0.451890\pi\) | ||||
0.150566 | + | 0.988600i | \(0.451890\pi\) | |||||||
\(398\) | −14.6164 | + | 1.53625i | −0.732655 | + | 0.0770052i | ||||
\(399\) | 13.1782 | − | 4.28187i | 0.659736 | − | 0.214361i | ||||
\(400\) | −10.7061 | − | 11.8903i | −0.535304 | − | 0.594516i | ||||
\(401\) | −8.09017 | − | 5.87785i | −0.404004 | − | 0.293526i | 0.367166 | − | 0.930155i | \(-0.380328\pi\) |
−0.771170 | + | 0.636629i | \(0.780328\pi\) | |||||||
\(402\) | −19.3792 | + | 8.62819i | −0.966548 | + | 0.430335i | ||||
\(403\) | 2.62210 | − | 8.06998i | 0.130616 | − | 0.401994i | ||||
\(404\) | 7.28130 | + | 6.55611i | 0.362258 | + | 0.326179i | ||||
\(405\) | −7.28115 | + | 5.29007i | −0.361803 | + | 0.262866i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −24.0000 | −1.18818 | ||||||||
\(409\) | 17.2773 | + | 23.7801i | 0.854307 | + | 1.17585i | 0.982897 | + | 0.184155i | \(0.0589548\pi\) |
−0.128590 | + | 0.991698i | \(0.541045\pi\) | |||||||
\(410\) | 1.44045 | − | 6.77681i | 0.0711390 | − | 0.334683i | ||||
\(411\) | 31.2983 | + | 10.1694i | 1.54383 | + | 0.501621i | ||||
\(412\) | −6.89025 | − | 0.724194i | −0.339458 | − | 0.0356785i | ||||
\(413\) | 2.87955 | − | 3.96336i | 0.141693 | − | 0.195024i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 11.2718 | − | 25.3169i | 0.552646 | − | 1.24126i | ||||
\(417\) | 34.2929i | 1.67933i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 10.3923i | 0.507697i | 0.967244 | + | 0.253849i | \(0.0816965\pi\) | ||||
−0.967244 | + | 0.253849i | \(0.918303\pi\) | |||||||
\(420\) | 3.98519 | − | 8.95088i | 0.194457 | − | 0.436758i | ||||
\(421\) | 9.27051 | + | 28.5317i | 0.451817 | + | 1.39055i | 0.874832 | + | 0.484427i | \(0.160972\pi\) |
−0.423015 | + | 0.906123i | \(0.639028\pi\) | |||||||
\(422\) | 5.35304 | + | 5.94516i | 0.260582 | + | 0.289406i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.57649 | + | 3.32502i | 0.222254 | + | 0.161477i | ||||
\(425\) | −18.6368 | − | 6.05547i | −0.904019 | − | 0.293734i | ||||
\(426\) | −29.0495 | − | 6.17466i | −1.40745 | − | 0.299163i | ||||
\(427\) | −16.2892 | − | 22.4201i | −0.788289 | − | 1.08499i | ||||
\(428\) | −8.48528 | − | 14.6969i | −0.410152 | − | 0.710403i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.00000 | − | 6.92820i | 0.192897 | − | 0.334108i | ||||
\(431\) | −11.4412 | + | 8.31254i | −0.551105 | + | 0.400401i | −0.828193 | − | 0.560444i | \(-0.810631\pi\) |
0.277088 | + | 0.960845i | \(0.410631\pi\) | |||||||
\(432\) | 4.32136 | − | 20.3304i | 0.207912 | − | 0.978148i | ||||
\(433\) | −6.48936 | + | 19.9722i | −0.311859 | + | 0.959802i | 0.665170 | + | 0.746692i | \(0.268359\pi\) |
−0.977028 | + | 0.213110i | \(0.931641\pi\) | |||||||
\(434\) | 2.81795 | + | 6.32923i | 0.135266 | + | 0.303813i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.07422 | + | 19.1677i | 0.195120 | + | 0.917966i | ||||
\(437\) | −13.9776 | + | 4.54160i | −0.668640 | + | 0.217254i | ||||
\(438\) | 1.25434 | + | 11.9343i | 0.0599348 | + | 0.570241i | ||||
\(439\) | −22.6274 | −1.07995 | −0.539974 | − | 0.841682i | \(-0.681566\pi\) | ||||
−0.539974 | + | 0.841682i | \(0.681566\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −3.54781 | − | 33.7552i | −0.168752 | − | 1.60557i | ||||
\(443\) | 4.94183 | − | 1.60570i | 0.234794 | − | 0.0762891i | −0.189257 | − | 0.981928i | \(-0.560608\pi\) |
0.424051 | + | 0.905639i | \(0.360608\pi\) | |||||||
\(444\) | −2.16068 | − | 10.1652i | −0.102541 | − | 0.482419i | ||||
\(445\) | −0.809017 | − | 0.587785i | −0.0383511 | − | 0.0278637i | ||||
\(446\) | 12.9519 | + | 29.0904i | 0.613289 | + | 1.37747i | ||||
\(447\) | 7.86629 | − | 24.2099i | 0.372063 | − | 1.14509i | ||||
\(448\) | 6.99226 | + | 21.5200i | 0.330353 | + | 1.01672i | ||||
\(449\) | −18.6074 | + | 13.5191i | −0.878137 | + | 0.638004i | −0.932758 | − | 0.360503i | \(-0.882605\pi\) |
0.0546209 | + | 0.998507i | \(0.482605\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 5.00000 | + | 8.66025i | 0.235180 | + | 0.407344i | ||||
\(453\) | 5.75910 | + | 7.92672i | 0.270586 | + | 0.372430i | ||||
\(454\) | 11.7378 | + | 2.49494i | 0.550881 | + | 0.117093i | ||||
\(455\) | 13.1782 | + | 4.28187i | 0.617805 | + | 0.200737i | ||||
\(456\) | −8.14459 | + | 11.2101i | −0.381405 | + | 0.524960i | ||||
\(457\) | 11.5182 | − | 15.8534i | 0.538798 | − | 0.741592i | −0.449641 | − | 0.893209i | \(-0.648448\pi\) |
0.988439 | + | 0.151617i | \(0.0484481\pi\) | |||||||
\(458\) | −0.946294 | − | 1.05097i | −0.0442174 | − | 0.0491084i | ||||
\(459\) | −7.86629 | − | 24.2099i | −0.367167 | − | 1.13002i | ||||
\(460\) | −4.22693 | + | 9.49384i | −0.197082 | + | 0.442653i | ||||
\(461\) | 29.3939i | 1.36901i | 0.729008 | + | 0.684505i | \(0.239981\pi\) | ||||
−0.729008 | + | 0.684505i | \(0.760019\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 36.3731i | 1.69040i | 0.534450 | + | 0.845200i | \(0.320519\pi\) | ||||
−0.534450 | + | 0.845200i | \(0.679481\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.927051 | + | 2.85317i | 0.0429910 | + | 0.132313i | ||||
\(466\) | −20.5946 | + | 18.5435i | −0.954028 | + | 0.859011i | ||||
\(467\) | −19.3434 | + | 26.6239i | −0.895106 | + | 1.23201i | 0.0768969 | + | 0.997039i | \(0.475499\pi\) |
−0.972003 | + | 0.234969i | \(0.924501\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 23.2960 | + | 7.56934i | 1.07571 | + | 0.349520i | ||||
\(470\) | −1.01856 | + | 4.79193i | −0.0469824 | + | 0.221035i | ||||
\(471\) | −11.1988 | − | 15.4138i | −0.516014 | − | 0.710232i | ||||
\(472\) | 4.89898i | 0.225494i | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 24.0000 | + | 13.8564i | 1.10236 | + | 0.636446i | ||||
\(475\) | −9.15298 | + | 6.65003i | −0.419968 | + | 0.305124i | ||||
\(476\) | 20.5946 | + | 18.5435i | 0.943953 | + | 0.849940i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.30836 | − | 3.25389i | 0.334277 | − | 0.148830i | ||||
\(479\) | −25.1707 | − | 18.2876i | −1.15008 | − | 0.835581i | −0.161587 | − | 0.986858i | \(-0.551661\pi\) |
−0.988491 | + | 0.151277i | \(0.951661\pi\) | |||||||
\(480\) | 2.03711 | + | 9.58385i | 0.0929809 | + | 0.437441i | ||||
\(481\) | 13.9776 | − | 4.54160i | 0.637325 | − | 0.207079i | ||||
\(482\) | −41.3415 | + | 4.34517i | −1.88305 | + | 0.197917i | ||||
\(483\) | 25.4558 | 1.15828 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.00000 | −0.317854 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 37.8874 | − | 12.3104i | 1.71684 | − | 0.557836i | 0.725393 | − | 0.688334i | \(-0.241658\pi\) |
0.991448 | + | 0.130499i | \(0.0416578\pi\) | |||||||
\(488\) | 26.3565 | + | 8.56373i | 1.19310 | + | 0.387662i | ||||
\(489\) | −24.2705 | − | 17.6336i | −1.09755 | − | 0.797417i | ||||
\(490\) | −1.29195 | + | 0.575212i | −0.0583643 | + | 0.0259855i | ||||
\(491\) | −10.4884 | + | 32.2799i | −0.473334 | + | 1.45677i | 0.374857 | + | 0.927083i | \(0.377692\pi\) |
−0.848191 | + | 0.529690i | \(0.822308\pi\) | |||||||
\(492\) | 11.3555 | − | 12.6116i | 0.511947 | − | 0.568574i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −16.9706 | − | 9.79796i | −0.763542 | − | 0.440831i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.00000 | − | 3.46410i | −0.269408 | − | 0.155543i | ||||
\(497\) | 20.1568 | + | 27.7435i | 0.904158 | + | 1.24447i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −16.4728 | − | 5.35233i | −0.737423 | − | 0.239603i | −0.0838623 | − | 0.996477i | \(-0.526726\pi\) |
−0.653561 | + | 0.756874i | \(0.726726\pi\) | |||||||
\(500\) | −1.88151 | + | 17.9014i | −0.0841438 | + | 0.800575i | ||||
\(501\) | 20.1568 | − | 27.7435i | 0.900541 | − | 1.23949i | ||||
\(502\) | −23.6642 | + | 21.3074i | −1.05619 | + | 0.950995i | ||||
\(503\) | −12.2364 | − | 37.6599i | −0.545596 | − | 1.67917i | −0.719568 | − | 0.694422i | \(-0.755660\pi\) |
0.173972 | − | 0.984751i | \(-0.444340\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 4.89898i | − | 0.218002i | ||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 19.0526i | − | 0.846154i | ||||||
\(508\) | −25.8390 | − | 11.5042i | −1.14642 | − | 0.510419i | ||||
\(509\) | −0.309017 | − | 0.951057i | −0.0136969 | − | 0.0421548i | 0.943974 | − | 0.330019i | \(-0.107055\pi\) |
−0.957671 | + | 0.287864i | \(0.907055\pi\) | |||||||
\(510\) | 8.02957 | + | 8.91774i | 0.355555 | + | 0.394884i | ||||
\(511\) | 8.14459 | − | 11.2101i | 0.360296 | − | 0.495904i | ||||
\(512\) | −18.3060 | − | 13.3001i | −0.809017 | − | 0.587785i | ||||
\(513\) | −13.9776 | − | 4.54160i | −0.617127 | − | 0.200517i | ||||
\(514\) | 30.4328 | + | 6.46869i | 1.34233 | + | 0.285322i | ||||
\(515\) | 2.03615 | + | 2.80252i | 0.0897234 | + | 0.123494i | ||||
\(516\) | 16.9706 | − | 9.79796i | 0.747087 | − | 0.431331i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −6.00000 | + | 10.3923i | −0.263625 | + | 0.456612i | ||||
\(519\) | 13.7295 | − | 9.97505i | 0.602657 | − | 0.437856i | ||||
\(520\) | −13.1782 | + | 4.28187i | −0.577903 | + | 0.187772i | ||||
\(521\) | −5.25329 | + | 16.1680i | −0.230151 | + | 0.708331i | 0.767577 | + | 0.640957i | \(0.221462\pi\) |
−0.997728 | + | 0.0673745i | \(0.978538\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −29.7472 | − | 21.6126i | −1.30075 | − | 0.945053i | −0.300791 | − | 0.953690i | \(-0.597251\pi\) |
−0.999963 | + | 0.00863696i | \(0.997251\pi\) | |||||||
\(524\) | 5.53324 | − | 1.17613i | 0.241721 | − | 0.0513793i | ||||
\(525\) | 18.6368 | − | 6.05547i | 0.813378 | − | 0.264282i | ||||
\(526\) | −2.09057 | − | 19.8904i | −0.0911532 | − | 0.867264i | ||||
\(527\) | −8.48528 | −0.369625 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −4.00000 | −0.173913 | ||||||||
\(530\) | −0.295651 | − | 2.81293i | −0.0128423 | − | 0.122186i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 15.6504 | − | 3.32659i | 0.678529 | − | 0.144226i | ||||
\(533\) | 19.4164 | + | 14.1068i | 0.841018 | + | 0.611035i | ||||
\(534\) | −0.996297 | − | 2.23772i | −0.0431140 | − | 0.0968356i | ||||
\(535\) | −2.62210 | + | 8.06998i | −0.113363 | + | 0.348896i | ||||
\(536\) | −23.2960 | + | 7.56934i | −1.00624 | + | 0.326946i | ||||
\(537\) | 12.1353 | − | 8.81678i | 0.523675 | − | 0.380472i | ||||
\(538\) | 7.07107 | − | 12.2474i | 0.304855 | − | 0.528025i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −9.00000 | + | 5.19615i | −0.387298 | + | 0.223607i | ||||
\(541\) | 8.63864 | + | 11.8901i | 0.371404 | + | 0.511194i | 0.953282 | − | 0.302082i | \(-0.0976817\pi\) |
−0.581878 | + | 0.813276i | \(0.697682\pi\) | |||||||
\(542\) | 3.91259 | + | 0.831647i | 0.168060 | + | 0.0357223i | ||||
\(543\) | −34.5928 | − | 11.2399i | −1.48452 | − | 0.482350i | ||||
\(544\) | −27.5610 | − | 2.89678i | −1.18167 | − | 0.124198i | ||||
\(545\) | 5.75910 | − | 7.92672i | 0.246693 | − | 0.339543i | ||||
\(546\) | 22.7110 | + | 25.2232i | 0.971943 | + | 1.07945i | ||||
\(547\) | 1.74806 | + | 5.37999i | 0.0747418 | + | 0.230032i | 0.981447 | − | 0.191733i | \(-0.0614108\pi\) |
−0.906705 | + | 0.421765i | \(0.861411\pi\) | |||||||
\(548\) | 34.7147 | + | 15.4560i | 1.48294 | + | 0.660247i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −20.5942 | + | 14.9626i | −0.876548 | + | 0.636849i | ||||
\(553\) | −9.88854 | − | 30.4338i | −0.420504 | − | 1.29418i | ||||
\(554\) | 10.2973 | − | 9.27175i | 0.437491 | − | 0.393919i | ||||
\(555\) | −3.05422 | + | 4.20378i | −0.129644 | + | 0.178440i | ||||
\(556\) | −4.13912 | + | 39.3811i | −0.175538 | + | 1.67013i | ||||
\(557\) | 23.2960 | + | 7.56934i | 0.987085 | + | 0.320723i | 0.757693 | − | 0.652611i | \(-0.226326\pi\) |
0.229391 | + | 0.973334i | \(0.426326\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 16.2892 | + | 22.4201i | 0.688959 | + | 0.948271i | ||||
\(560\) | 5.65685 | − | 9.79796i | 0.239046 | − | 0.414039i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −9.15298 | + | 6.65003i | −0.385752 | + | 0.280265i | −0.763713 | − | 0.645556i | \(-0.776626\pi\) |
0.377960 | + | 0.925822i | \(0.376626\pi\) | |||||||
\(564\) | −8.02957 | + | 8.91774i | −0.338106 | + | 0.375505i | ||||
\(565\) | 1.54508 | − | 4.75528i | 0.0650022 | − | 0.200056i | ||||
\(566\) | 14.6167 | − | 6.50779i | 0.614387 | − | 0.273543i | ||||
\(567\) | 20.5942 | + | 14.9626i | 0.864876 | + | 0.628369i | ||||
\(568\) | −32.6144 | − | 10.5971i | −1.36847 | − | 0.444643i | ||||
\(569\) | −18.6368 | + | 6.05547i | −0.781296 | + | 0.253859i | −0.672394 | − | 0.740194i | \(-0.734734\pi\) |
−0.108903 | + | 0.994052i | \(0.534734\pi\) | |||||||
\(570\) | 6.89025 | − | 0.724194i | 0.288601 | − | 0.0303332i | ||||
\(571\) | −5.65685 | −0.236732 | −0.118366 | − | 0.992970i | \(-0.537766\pi\) | ||||
−0.118366 | + | 0.992970i | \(0.537766\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 9.00000 | 0.375980 | ||||||||
\(574\) | −19.4886 | + | 2.04833i | −0.813437 | + | 0.0854957i | ||||
\(575\) | −19.7673 | + | 6.42280i | −0.824355 | + | 0.267849i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 13.7533 | + | 9.99235i | 0.572557 | + | 0.415987i | 0.836033 | − | 0.548679i | \(-0.184869\pi\) |
−0.263476 | + | 0.964666i | \(0.584869\pi\) | |||||||
\(578\) | −9.04364 | + | 4.02649i | −0.376166 | + | 0.167480i | ||||
\(579\) | 5.24419 | − | 16.1400i | 0.217941 | − | 0.670754i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −14.8492 | − | 8.57321i | −0.615521 | − | 0.355371i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 13.8564i | 0.573382i | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.44045 | + | 6.77681i | −0.0595046 | + | 0.279947i | ||||
\(587\) | 9.88367 | + | 3.21140i | 0.407943 | + | 0.132549i | 0.505798 | − | 0.862652i | \(-0.331198\pi\) |
−0.0978551 | + | 0.995201i | \(0.531198\pi\) | |||||||
\(588\) | −3.44512 | − | 0.362097i | −0.142075 | − | 0.0149326i | ||||
\(589\) | −2.87955 | + | 3.96336i | −0.118650 | + | 0.163307i | ||||
\(590\) | 1.82033 | − | 1.63903i | 0.0749416 | − | 0.0674777i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.25434 | − | 11.9343i | −0.0515531 | − | 0.490495i | ||||
\(593\) | 9.79796i | 0.402354i | 0.979555 | + | 0.201177i | \(0.0644766\pi\) | ||||
−0.979555 | + | 0.201177i | \(0.935523\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 13.8564i | − | 0.568057i | ||||||
\(596\) | 11.9556 | − | 26.8526i | 0.489719 | − | 1.09993i | ||||
\(597\) | 5.56231 | + | 17.1190i | 0.227650 | + | 0.700635i | ||||
\(598\) | −24.0887 | − | 26.7532i | −0.985060 | − | 1.09402i | ||||
\(599\) | 26.4699 | − | 36.4327i | 1.08153 | − | 1.48860i | 0.223708 | − | 0.974656i | \(-0.428184\pi\) |
0.857823 | − | 0.513945i | \(-0.171816\pi\) | |||||||
\(600\) | −11.5182 | + | 15.8534i | −0.470228 | + | 0.647214i | ||||
\(601\) | −4.65921 | − | 1.51387i | −0.190053 | − | 0.0617520i | 0.212444 | − | 0.977173i | \(-0.431858\pi\) |
−0.402497 | + | 0.915421i | \(0.631858\pi\) | |||||||
\(602\) | −22.1330 | − | 4.70450i | −0.902072 | − | 0.191741i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.65685 | + | 9.79796i | 0.230174 | + | 0.398673i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 6.00000 | − | 10.3923i | 0.243733 | − | 0.422159i | ||||
\(607\) | 18.3060 | − | 13.3001i | 0.743016 | − | 0.539833i | −0.150638 | − | 0.988589i | \(-0.548133\pi\) |
0.893654 | + | 0.448756i | \(0.148133\pi\) | |||||||
\(608\) | −10.7061 | + | 11.8903i | −0.434189 | + | 0.482216i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5.63591 | − | 12.6585i | −0.228191 | − | 0.512526i | ||||
\(611\) | −13.7295 | − | 9.97505i | −0.555435 | − | 0.403547i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.31841 | − | 3.02774i | 0.376367 | − | 0.122289i | −0.114724 | − | 0.993397i | \(-0.536598\pi\) |
0.491091 | + | 0.871108i | \(0.336598\pi\) | |||||||
\(614\) | 2.92680 | + | 27.8466i | 0.118116 | + | 1.12380i | ||||
\(615\) | −8.48528 | −0.342160 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 2.00000 | 0.0805170 | 0.0402585 | − | 0.999189i | \(-0.487182\pi\) | ||||
0.0402585 | + | 0.999189i | \(0.487182\pi\) | |||||||
\(618\) | 0.886953 | + | 8.43880i | 0.0356785 | + | 0.339458i | ||||
\(619\) | −1.64728 | + | 0.535233i | −0.0662097 | + | 0.0215128i | −0.341935 | − | 0.939724i | \(-0.611082\pi\) |
0.275725 | + | 0.961237i | \(0.411082\pi\) | |||||||
\(620\) | 0.720227 | + | 3.38840i | 0.0289250 | + | 0.136082i | ||||
\(621\) | −21.8435 | − | 15.8702i | −0.876548 | − | 0.636849i | ||||
\(622\) | −5.97778 | − | 13.4263i | −0.239687 | − | 0.538346i | ||||
\(623\) | −0.874032 | + | 2.68999i | −0.0350174 | + | 0.107772i | ||||
\(624\) | −33.1994 | − | 7.05676i | −1.32904 | − | 0.282496i | ||||
\(625\) | −8.89919 | + | 6.46564i | −0.355967 | + | 0.258626i | ||||
\(626\) | −19.0919 | + | 33.0681i | −0.763065 | + | 1.32167i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −11.0000 | − | 19.0526i | −0.438948 | − | 0.760280i | ||||
\(629\) | −8.63864 | − | 11.8901i | −0.344445 | − | 0.474088i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 34.5928 | + | 11.2399i | 1.37712 | + | 0.447453i | 0.901721 | − | 0.432318i | \(-0.142304\pi\) |
0.475398 | + | 0.879771i | \(0.342304\pi\) | |||||||
\(632\) | 25.8885 | + | 18.8091i | 1.02979 | + | 0.748187i | ||||
\(633\) | 5.75910 | − | 7.92672i | 0.228904 | − | 0.315059i | ||||
\(634\) | −23.6573 | − | 26.2741i | −0.939553 | − | 1.04348i | ||||
\(635\) | 4.37016 | + | 13.4500i | 0.173425 | + | 0.533746i | ||||
\(636\) | 2.81795 | − | 6.32923i | 0.111739 | − | 0.250970i | ||||
\(637\) | − | 4.89898i | − | 0.194105i | ||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.18260 | + | 11.2517i | 0.0467465 | + | 0.444764i | ||||
\(641\) | 5.87132 | + | 18.0701i | 0.231903 | + | 0.713725i | 0.997517 | + | 0.0704245i | \(0.0224354\pi\) |
−0.765614 | + | 0.643300i | \(0.777565\pi\) | |||||||
\(642\) | −15.4460 | + | 13.9076i | −0.609604 | + | 0.548890i | ||||
\(643\) | −15.2711 | + | 21.0189i | −0.602234 | + | 0.828904i | −0.995911 | − | 0.0903453i | \(-0.971203\pi\) |
0.393677 | + | 0.919249i | \(0.371203\pi\) | |||||||
\(644\) | 29.2329 | + | 3.07250i | 1.15194 | + | 0.121073i | ||||
\(645\) | −9.31841 | − | 3.02774i | −0.366912 | − | 0.119217i | ||||
\(646\) | −4.07422 | + | 19.1677i | −0.160298 | + | 0.754143i | ||||
\(647\) | −1.01807 | − | 1.40126i | −0.0400246 | − | 0.0550892i | 0.788536 | − | 0.614989i | \(-0.210840\pi\) |
−0.828560 | + | 0.559900i | \(0.810840\pi\) | |||||||
\(648\) | −25.4558 | −1.00000 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −24.0000 | − | 13.8564i | −0.941357 | − | 0.543493i | ||||
\(651\) | 6.86474 | − | 4.98752i | 0.269050 | − | 0.195476i | ||||
\(652\) | −25.7433 | − | 23.1794i | −1.00819 | − | 0.907774i | ||||
\(653\) | 9.57953 | − | 29.4828i | 0.374876 | − | 1.15375i | −0.568687 | − | 0.822554i | \(-0.692548\pi\) |
0.943562 | − | 0.331195i | \(-0.107452\pi\) | |||||||
\(654\) | 21.9251 | − | 9.76168i | 0.857339 | − | 0.381712i | ||||
\(655\) | −2.28825 | − | 1.66251i | −0.0894092 | − | 0.0649596i | ||||
\(656\) | 14.5626 | − | 13.1122i | 0.568574 | − | 0.511947i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 13.7805 | − | 1.44839i | 0.537220 | − | 0.0564641i | ||||
\(659\) | 45.2548 | 1.76288 | 0.881439 | − | 0.472298i | \(-0.156575\pi\) | ||||
0.881439 | + | 0.472298i | \(0.156575\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.0000 | −0.661223 | −0.330612 | − | 0.943767i | \(-0.607255\pi\) | ||||
−0.330612 | + | 0.943767i | \(0.607255\pi\) | |||||||
\(662\) | −7.30821 | + | 0.768124i | −0.284042 | + | 0.0298540i | ||||
\(663\) | −39.5347 | + | 12.8456i | −1.53540 | + | 0.498882i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −6.47214 | − | 4.70228i | −0.250979 | − | 0.182347i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 26.4962 | − | 29.4270i | 1.02517 | − | 1.13857i | ||||
\(669\) | 31.5517 | − | 22.9236i | 1.21986 | − | 0.886279i | ||||
\(670\) | 10.6066 | + | 6.12372i | 0.409769 | + | 0.236580i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 24.0000 | − | 13.8564i | 0.925820 | − | 0.534522i | ||||
\(673\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(674\) | 10.0832 | − | 47.4376i | 0.388390 | − | 1.82723i | ||||
\(675\) | −19.7673 | − | 6.42280i | −0.760845 | − | 0.247214i | ||||
\(676\) | 2.29963 | − | 21.8795i | 0.0884472 | − | 0.841519i | ||||
\(677\) | −14.3977 | + | 19.8168i | −0.553350 | + | 0.761621i | −0.990462 | − | 0.137786i | \(-0.956001\pi\) |
0.437112 | + | 0.899407i | \(0.356001\pi\) | |||||||
\(678\) | 9.10163 | − | 8.19514i | 0.349546 | − | 0.314733i | ||||
\(679\) | 6.11822 | + | 18.8300i | 0.234796 | + | 0.722627i | ||||
\(680\) | 8.14459 | + | 11.2101i | 0.312331 | + | 0.429886i | ||||
\(681\) | − | 14.6969i | − | 0.563188i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 3.46410i | − | 0.132550i | −0.997801 | − | 0.0662751i | \(-0.978889\pi\) | ||
0.997801 | − | 0.0662751i | \(-0.0211115\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.87132 | − | 18.0701i | −0.224332 | − | 0.690422i | ||||
\(686\) | −16.0591 | − | 17.8355i | −0.613141 | − | 0.680962i | ||||
\(687\) | −1.01807 | + | 1.40126i | −0.0388419 | + | 0.0534613i | ||||
\(688\) | 20.6712 | − | 9.20340i | 0.788081 | − | 0.350876i | ||||
\(689\) | 9.31841 | + | 3.02774i | 0.355003 | + | 0.115348i | ||||
\(690\) | 12.4498 | + | 2.64628i | 0.473955 | + | 0.100742i | ||||
\(691\) | −9.16267 | − | 12.6113i | −0.348564 | − | 0.479757i | 0.598354 | − | 0.801232i | \(-0.295822\pi\) |
−0.946918 | + | 0.321474i | \(0.895822\pi\) | |||||||
\(692\) | 16.9706 | − | 9.79796i | 0.645124 | − | 0.372463i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 18.0000 | − | 31.1769i | 0.683271 | − | 1.18346i | ||||
\(695\) | 16.0177 | − | 11.6376i | 0.607587 | − | 0.441438i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.41641 | − | 22.8254i | 0.280916 | − | 0.864572i | ||||
\(698\) | −2.81795 | − | 6.32923i | −0.106661 | − | 0.239565i | ||||
\(699\) | 27.4589 | + | 19.9501i | 1.03859 | + | 0.754582i | ||||
\(700\) | 22.1330 | − | 4.70450i | 0.836547 | − | 0.177814i | ||||
\(701\) | 32.6144 | − | 10.5971i | 1.23183 | − | 0.400246i | 0.380453 | − | 0.924800i | \(-0.375768\pi\) |
0.851377 | + | 0.524554i | \(0.175768\pi\) | |||||||
\(702\) | −3.76302 | − | 35.8028i | −0.142026 | − | 1.35129i | ||||
\(703\) | −8.48528 | −0.320028 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 6.00000 | 0.225973 | ||||||||
\(706\) | 2.51303 | + | 23.9099i | 0.0945793 | + | 0.899862i | ||||
\(707\) | −13.1782 | + | 4.28187i | −0.495618 | + | 0.161036i | ||||
\(708\) | 5.86889 | − | 1.24747i | 0.220566 | − | 0.0468828i | ||||
\(709\) | 20.2254 | + | 14.6946i | 0.759582 | + | 0.551868i | 0.898782 | − | 0.438396i | \(-0.144453\pi\) |
−0.139200 | + | 0.990264i | \(0.544453\pi\) | |||||||
\(710\) | 6.97408 | + | 15.6640i | 0.261733 | + | 0.587861i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.874032 | − | 2.68999i | −0.0327557 | − | 0.100812i | ||||
\(713\) | −7.28115 | + | 5.29007i | −0.272681 | + | 0.198115i | ||||
\(714\) | 16.9706 | − | 29.3939i | 0.635107 | − | 1.10004i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 15.0000 | − | 8.66025i | 0.560576 | − | 0.323649i | ||||
\(717\) | −5.75910 | − | 7.92672i | −0.215077 | − | 0.296029i | ||||
\(718\) | −11.7378 | − | 2.49494i | −0.438050 | − | 0.0931103i | ||||
\(719\) | 14.8255 | + | 4.81710i | 0.552898 | + | 0.179647i | 0.572123 | − | 0.820168i | \(-0.306120\pi\) |
−0.0192251 | + | 0.999815i | \(0.506120\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.75910 | − | 7.92672i | 0.214480 | − | 0.295206i | ||||
\(722\) | −10.4092 | − | 11.5606i | −0.387391 | − | 0.430242i | ||||
\(723\) | 15.7326 | + | 48.4199i | 0.585101 | + | 1.80076i | ||||
\(724\) | −38.3689 | − | 17.0829i | −1.42597 | − | 0.634882i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 25.9808i | − | 0.963573i | −0.876289 | − | 0.481787i | \(-0.839988\pi\) | ||
0.876289 | − | 0.481787i | \(-0.160012\pi\) | |||||||
\(728\) | 23.0364 | + | 31.7069i | 0.853785 | + | 1.17513i | ||||
\(729\) | −8.34346 | − | 25.6785i | −0.309017 | − | 0.951057i | ||||
\(730\) | 5.14866 | − | 4.63587i | 0.190560 | − | 0.171581i | ||||
\(731\) | 16.2892 | − | 22.4201i | 0.602477 | − | 0.829239i | ||||
\(732\) | 3.54781 | − | 33.7552i | 0.131131 | − | 1.24763i | ||||
\(733\) | 9.31841 | + | 3.02774i | 0.344183 | + | 0.111832i | 0.476008 | − | 0.879441i | \(-0.342083\pi\) |
−0.131824 | + | 0.991273i | \(0.542083\pi\) | |||||||
\(734\) | 0.509278 | − | 2.39596i | 0.0187978 | − | 0.0884366i | ||||
\(735\) | 1.01807 | + | 1.40126i | 0.0375522 | + | 0.0516862i | ||||
\(736\) | −25.4558 | + | 14.6969i | −0.938315 | + | 0.541736i | ||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 4.57649 | − | 3.32502i | 0.168349 | − | 0.122313i | −0.500421 | − | 0.865782i | \(-0.666821\pi\) |
0.668770 | + | 0.743470i | \(0.266821\pi\) | |||||||
\(740\) | −4.01478 | + | 4.45887i | −0.147586 | + | 0.163911i | ||||
\(741\) | −7.41641 | + | 22.8254i | −0.272449 | + | 0.838510i | ||||
\(742\) | −7.30836 | + | 3.25389i | −0.268298 | + | 0.119454i | ||||
\(743\) | 27.4589 | + | 19.9501i | 1.00737 | + | 0.731898i | 0.963656 | − | 0.267146i | \(-0.0860806\pi\) |
0.0437150 | + | 0.999044i | \(0.486081\pi\) | |||||||
\(744\) | −2.62210 | + | 8.06998i | −0.0961307 | + | 0.295860i | ||||
\(745\) | −13.9776 | + | 4.54160i | −0.512100 | + | 0.166391i | ||||
\(746\) | −20.6707 | + | 2.17258i | −0.756810 | + | 0.0795439i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 24.0000 | 0.876941 | ||||||||
\(750\) | 21.9246 | − | 2.30437i | 0.800575 | − | 0.0841438i | ||||
\(751\) | 4.94183 | − | 1.60570i | 0.180330 | − | 0.0585928i | −0.217460 | − | 0.976069i | \(-0.569777\pi\) |
0.397790 | + | 0.917476i | \(0.369777\pi\) | |||||||
\(752\) | −10.2973 | + | 9.27175i | −0.375505 | + | 0.338106i | ||||
\(753\) | 31.5517 | + | 22.9236i | 1.14981 | + | 0.835383i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1.74806 | − | 5.37999i | 0.0636186 | − | 0.195798i | ||||
\(756\) | 21.8439 | + | 19.6683i | 0.794455 | + | 0.715331i | ||||
\(757\) | −24.2705 | + | 17.6336i | −0.882127 | + | 0.640903i | −0.933813 | − | 0.357761i | \(-0.883540\pi\) |
0.0516866 | + | 0.998663i | \(0.483540\pi\) | |||||||
\(758\) | 14.8492 | + | 8.57321i | 0.539349 | + | 0.311393i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 8.00000 | 0.290191 | ||||||||
\(761\) | −25.9159 | − | 35.6702i | −0.939452 | − | 1.29304i | −0.956057 | − | 0.293182i | \(-0.905286\pi\) |
0.0166048 | − | 0.999862i | \(-0.494714\pi\) | |||||||
\(762\) | −7.20227 | + | 33.8840i | −0.260911 | + | 1.22749i | ||||
\(763\) | −26.3565 | − | 8.56373i | −0.954168 | − | 0.310028i | ||||
\(764\) | 10.3354 | + | 1.08629i | 0.373921 | + | 0.0393007i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 34.5862 | − | 31.1415i | 1.24965 | − | 1.12519i | ||||
\(767\) | 2.62210 | + | 8.06998i | 0.0946784 | + | 0.291390i | ||||
\(768\) | −11.2718 | + | 25.3169i | −0.406737 | + | 0.913545i | ||||
\(769\) | − | 4.89898i | − | 0.176662i | −0.996091 | − | 0.0883309i | \(-0.971847\pi\) | ||
0.996091 | − | 0.0883309i | \(-0.0281533\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 38.1051i | − | 1.37232i | ||||||
\(772\) | 7.97038 | − | 17.9018i | 0.286860 | − | 0.644299i | ||||
\(773\) | −3.09017 | − | 9.51057i | −0.111146 | − | 0.342071i | 0.879978 | − | 0.475015i | \(-0.157557\pi\) |
−0.991124 | + | 0.132943i | \(0.957557\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.07230 | + | 5.60503i | −0.146281 | + | 0.201339i | ||||
\(776\) | −16.0177 | − | 11.6376i | −0.575003 | − | 0.417764i | ||||
\(777\) | 13.9776 | + | 4.54160i | 0.501444 | + | 0.162929i | ||||
\(778\) | −26.2829 | − | 5.58660i | −0.942287 | − | 0.200289i | ||||
\(779\) | −8.14459 | − | 11.2101i | −0.291810 | − | 0.401642i | ||||
\(780\) | 8.48528 | + | 14.6969i | 0.303822 | + | 0.526235i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −18.0000 | + | 31.1769i | −0.643679 | + | 1.11488i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.91259 | − | 0.831647i | −0.139735 | − | 0.0297017i | ||||
\(785\) | −3.39919 | + | 10.4616i | −0.121322 | + | 0.373391i | ||||
\(786\) | −2.81795 | − | 6.32923i | −0.100513 | − | 0.225756i | ||||
\(787\) | 22.8825 | + | 16.6251i | 0.815671 | + | 0.592620i | 0.915469 | − | 0.402388i | \(-0.131820\pi\) |
−0.0997979 | + | 0.995008i | \(0.531820\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −23.2960 | + | 7.56934i | −0.829361 | + | 0.269476i | ||||
\(790\) | −1.67246 | − | 15.9124i | −0.0595033 | − | 0.566136i | ||||
\(791\) | −14.1421 | −0.502836 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 48.0000 | 1.70453 | ||||||||
\(794\) | −0.886953 | − | 8.43880i | −0.0314768 | − | 0.299482i | ||||
\(795\) | −3.29456 | + | 1.07047i | −0.116846 | + | 0.0379655i | ||||
\(796\) | 4.32136 | + | 20.3304i | 0.153167 | + | 0.720592i | ||||
\(797\) | −5.66312 | − | 4.11450i | −0.200598 | − | 0.145743i | 0.482952 | − | 0.875647i | \(-0.339565\pi\) |
−0.683550 | + | 0.729904i | \(0.739565\pi\) | |||||||
\(798\) | −7.97038 | − | 17.9018i | −0.282148 | − | 0.633715i | ||||
\(799\) | −5.24419 | + | 16.1400i | −0.185526 | + | 0.570991i | ||||
\(800\) | −15.1407 | + | 16.8154i | −0.535304 | + | 0.594516i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −7.07107 | + | 12.2474i | −0.249688 | + | 0.432472i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 15.0000 | + | 25.9808i | 0.529009 | + | 0.916271i | ||||
\(805\) | −8.63864 | − | 11.8901i | −0.304472 | − | 0.419070i | ||||
\(806\) | −11.7378 | − | 2.49494i | −0.413445 | − | 0.0878805i | ||||
\(807\) | −16.4728 | − | 5.35233i | −0.579869 | − | 0.188411i | ||||
\(808\) | 8.14459 | − | 11.2101i | 0.286526 | − | 0.394369i | ||||
\(809\) | −25.9159 | + | 35.6702i | −0.911156 | + | 1.25410i | 0.0556149 | + | 0.998452i | \(0.482288\pi\) |
−0.966771 | + | 0.255646i | \(0.917712\pi\) | |||||||
\(810\) | 8.51664 | + | 9.45869i | 0.299244 | + | 0.332344i | ||||
\(811\) | −12.2364 | − | 37.6599i | −0.429680 | − | 1.32242i | −0.898441 | − | 0.439094i | \(-0.855300\pi\) |
0.468761 | − | 0.883325i | \(-0.344700\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 4.89898i | − | 0.171815i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 17.3205i | 0.606711i | ||||||||
\(816\) | 3.54781 | + | 33.7552i | 0.124198 | + | 1.18167i | ||||
\(817\) | −4.94427 | − | 15.2169i | −0.172978 | − | 0.532372i | ||||
\(818\) | 30.8920 | − | 27.8152i | 1.08011 | − | 0.972537i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −9.74428 | − | 1.02417i | −0.340285 | − | 0.0357654i | ||||
\(821\) | −46.5921 | − | 15.1387i | −1.62607 | − | 0.528344i | −0.652710 | − | 0.757608i | \(-0.726368\pi\) |
−0.973364 | + | 0.229264i | \(0.926368\pi\) | |||||||
\(822\) | 9.67627 | − | 45.5233i | 0.337499 | − | 1.58781i | ||||
\(823\) | −5.09037 | − | 7.00629i | −0.177439 | − | 0.244224i | 0.711029 | − | 0.703163i | \(-0.248230\pi\) |
−0.888468 | + | 0.458939i | \(0.848230\pi\) | |||||||
\(824\) | 9.79796i | 0.341328i | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −6.00000 | − | 3.46410i | −0.208767 | − | 0.120532i | ||||
\(827\) | −20.5942 | + | 14.9626i | −0.716131 | + | 0.520300i | −0.885146 | − | 0.465314i | \(-0.845941\pi\) |
0.169015 | + | 0.985614i | \(0.445941\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −5.25329 | + | 16.1680i | −0.182454 | + | 0.561536i | −0.999895 | − | 0.0144759i | \(-0.995392\pi\) |
0.817441 | + | 0.576012i | \(0.195392\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −13.7295 | − | 9.97505i | −0.476270 | − | 0.346031i | ||||
\(832\) | −37.2737 | − | 12.1109i | −1.29223 | − | 0.419871i | ||||
\(833\) | −4.65921 | + | 1.51387i | −0.161432 | + | 0.0524524i | ||||
\(834\) | 48.2317 | − | 5.06936i | 1.67013 | − | 0.175538i | ||||
\(835\) | −19.7990 | −0.685172 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −9.00000 | −0.311086 | ||||||||
\(838\) | 14.6164 | − | 1.53625i | 0.504916 | − | 0.0530688i | ||||
\(839\) | 24.7092 | − | 8.02850i | 0.853055 | − | 0.277174i | 0.150330 | − | 0.988636i | \(-0.451966\pi\) |
0.702725 | + | 0.711461i | \(0.251966\pi\) | |||||||
\(840\) | −13.1782 | − | 4.28187i | −0.454692 | − | 0.147738i | ||||
\(841\) | −23.4615 | − | 17.0458i | −0.809017 | − | 0.587785i | ||||
\(842\) | 38.7585 | − | 17.2564i | 1.33570 | − | 0.594694i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 7.57035 | − | 8.40772i | 0.260582 | − | 0.289406i | ||||
\(845\) | −8.89919 | + | 6.46564i | −0.306141 | + | 0.222425i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 4.00000 | − | 6.92820i | 0.137361 | − | 0.237915i | ||||
\(849\) | −11.5182 | − | 15.8534i | −0.395303 | − | 0.544088i | ||||
\(850\) | −5.76182 | + | 27.1072i | −0.197629 | + | 0.929770i | ||||
\(851\) | −14.8255 | − | 4.81710i | −0.508212 | − | 0.165128i | ||||
\(852\) | −4.39020 | + | 41.7699i | −0.150406 | + | 1.43101i | ||||
\(853\) | −23.0364 | + | 31.7069i | −0.788751 | + | 1.08562i | 0.205512 | + | 0.978655i | \(0.434114\pi\) |
−0.994263 | + | 0.106968i | \(0.965886\pi\) | |||||||
\(854\) | −29.1252 | + | 26.2245i | −0.996644 | + | 0.897382i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −19.4164 | + | 14.1068i | −0.663639 | + | 0.482162i | ||||
\(857\) | − | 29.3939i | − | 1.00408i | −0.864846 | − | 0.502038i | \(-0.832584\pi\) | ||
0.864846 | − | 0.502038i | \(-0.167416\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 15.5885i | 0.531871i | 0.963991 | + | 0.265936i | \(0.0856809\pi\) | ||||
−0.963991 | + | 0.265936i | \(0.914319\pi\) | |||||||
\(860\) | −10.3356 | − | 4.60170i | −0.352441 | − | 0.156917i | ||||
\(861\) | 7.41641 | + | 22.8254i | 0.252751 | + | 0.777886i | ||||
\(862\) | 13.3826 | + | 14.8629i | 0.455814 | + | 0.506232i | ||||
\(863\) | 18.3253 | − | 25.2227i | 0.623802 | − | 0.858589i | −0.373821 | − | 0.927501i | \(-0.621953\pi\) |
0.997623 | + | 0.0689116i | \(0.0219527\pi\) | |||||||
\(864\) | −29.2329 | − | 3.07250i | −0.994522 | − | 0.104528i | ||||
\(865\) | −9.31841 | − | 3.02774i | −0.316836 | − | 0.102946i | ||||
\(866\) | 29.0495 | + | 6.17466i | 0.987142 | + | 0.209824i | ||||
\(867\) | 7.12652 | + | 9.80881i | 0.242029 | + | 0.333125i | ||||
\(868\) | 8.48528 | − | 4.89898i | 0.288009 | − | 0.166282i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −34.3237 | + | 24.9376i | −1.16301 | + | 0.844979i | ||||
\(872\) | 26.3565 | − | 8.56373i | 0.892542 | − | 0.290004i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 8.45386 | + | 18.9877i | 0.285956 | + | 0.642268i | ||||
\(875\) | −20.5942 | − | 14.9626i | −0.696211 | − | 0.505827i | ||||
\(876\) | 16.5997 | − | 3.52838i | 0.560852 | − | 0.119213i | ||||
\(877\) | −51.2513 | + | 16.6525i | −1.73063 | + | 0.562317i | −0.993541 | − | 0.113476i | \(-0.963801\pi\) |
−0.737092 | + | 0.675793i | \(0.763801\pi\) | |||||||
\(878\) | 3.34491 | + | 31.8247i | 0.112885 | + | 1.07403i | ||||
\(879\) | 8.48528 | 0.286201 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −49.0000 | −1.65085 | −0.825426 | − | 0.564510i | \(-0.809065\pi\) | ||||
−0.825426 | + | 0.564510i | \(0.809065\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −23.0619 | + | 7.49326i | −0.776095 | + | 0.252168i | −0.670172 | − | 0.742206i | \(-0.733780\pi\) |
−0.105923 | + | 0.994374i | \(0.533780\pi\) | |||||||
\(884\) | −46.9511 | + | 9.97976i | −1.57914 | + | 0.335656i | ||||
\(885\) | −2.42705 | − | 1.76336i | −0.0815844 | − | 0.0592746i | ||||
\(886\) | −2.98889 | − | 6.71316i | −0.100414 | − | 0.225533i | ||||
\(887\) | 5.24419 | − | 16.1400i | 0.176083 | − | 0.541927i | −0.823599 | − | 0.567173i | \(-0.808037\pi\) |
0.999681 | + | 0.0252463i | \(0.00803699\pi\) | |||||||
\(888\) | −13.9776 | + | 4.54160i | −0.469058 | + | 0.152406i | ||||
\(889\) | 32.3607 | − | 23.5114i | 1.08534 | − | 0.788547i | ||||
\(890\) | −0.707107 | + | 1.22474i | −0.0237023 | + | 0.0410535i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 39.0000 | − | 22.5167i | 1.30582 | − | 0.753914i | ||||
\(893\) | 5.75910 | + | 7.92672i | 0.192721 | + | 0.265257i | ||||
\(894\) | −35.2133 | − | 7.48482i | −1.17771 | − | 0.250330i | ||||
\(895\) | −8.23639 | − | 2.67617i | −0.275312 | − | 0.0894544i | ||||
\(896\) | 29.2335 | − | 13.0156i | 0.976621 | − | 0.434820i | ||||
\(897\) | −25.9159 | + | 35.6702i | −0.865308 | + | 1.19099i | ||||
\(898\) | 21.7648 | + | 24.1722i | 0.726299 | + | 0.806637i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 9.79796i | − | 0.326417i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 27.7128i | 0.922225i | ||||||||
\(904\) | 11.4412 | − | 8.31254i | 0.380530 | − | 0.276471i | ||||
\(905\) | 6.48936 | + | 19.9722i | 0.215714 | + | 0.663898i | ||||
\(906\) | 10.2973 | − | 9.27175i | 0.342105 | − | 0.308033i | ||||
\(907\) | −2.03615 | + | 2.80252i | −0.0676092 | + | 0.0930561i | −0.841483 | − | 0.540284i | \(-0.818317\pi\) |
0.773873 | + | 0.633340i | \(0.218317\pi\) | |||||||
\(908\) | 1.77391 | − | 16.8776i | 0.0588692 | − | 0.560103i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 4.07422 | − | 19.1677i | 0.135059 | − | 0.635403i | ||||
\(911\) | 14.2530 | + | 19.6176i | 0.472224 | + | 0.649961i | 0.976987 | − | 0.213297i | \(-0.0684202\pi\) |
−0.504763 | + | 0.863258i | \(0.668420\pi\) | |||||||
\(912\) | 16.9706 | + | 9.79796i | 0.561951 | + | 0.324443i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −24.0000 | − | 13.8564i | −0.793849 | − | 0.458329i | ||||
\(915\) | −13.7295 | + | 9.97505i | −0.453882 | + | 0.329765i | ||||
\(916\) | −1.33826 | + | 1.48629i | −0.0442174 | + | 0.0491084i | ||||
\(917\) | −2.47214 | + | 7.60845i | −0.0816371 | + | 0.251253i | ||||
\(918\) | −32.8876 | + | 14.6425i | −1.08545 | + | 0.483275i | ||||
\(919\) | 9.15298 | + | 6.65003i | 0.301929 | + | 0.219364i | 0.728426 | − | 0.685125i | \(-0.240252\pi\) |
−0.426497 | + | 0.904489i | \(0.640252\pi\) | |||||||
\(920\) | 13.9776 | + | 4.54160i | 0.460828 | + | 0.149732i | ||||
\(921\) | 32.6144 | − | 10.5971i | 1.07468 | − | 0.349186i | ||||
\(922\) | 41.3415 | − | 4.34517i | 1.36151 | − | 0.143100i | ||||
\(923\) | −59.3970 | −1.95508 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.0000 | −0.394558 | ||||||||
\(926\) | 51.1575 | − | 5.37687i | 1.68114 | − | 0.176695i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 17.7984 | + | 12.9313i | 0.583946 | + | 0.424261i | 0.840144 | − | 0.542363i | \(-0.182470\pi\) |
−0.256199 | + | 0.966624i | \(0.582470\pi\) | |||||||
\(930\) | 3.87585 | − | 1.72564i | 0.127094 | − | 0.0565859i | ||||
\(931\) | −0.874032 | + | 2.68999i | −0.0286452 | + | 0.0881610i | ||||
\(932\) | 29.1252 | + | 26.2245i | 0.954028 | + | 0.859011i | ||||
\(933\) | −14.5623 | + | 10.5801i | −0.476748 | + | 0.346378i | ||||
\(934\) | 40.3051 | + | 23.2702i | 1.31882 | + | 0.761423i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.87955 | + | 3.96336i | 0.0940707 | + | 0.129477i | 0.853458 | − | 0.521162i | \(-0.174501\pi\) |
−0.759387 | + | 0.650639i | \(0.774501\pi\) | |||||||
\(938\) | 7.20227 | − | 33.8840i | 0.235163 | − | 1.10635i | ||||
\(939\) | 44.4765 | + | 14.4513i | 1.45144 | + | 0.471600i | ||||
\(940\) | 6.89025 | + | 0.724194i | 0.224735 | + | 0.0236206i | ||||
\(941\) | 23.0364 | − | 31.7069i | 0.750965 | − | 1.03361i | −0.246948 | − | 0.969029i | \(-0.579428\pi\) |
0.997912 | − | 0.0645853i | \(-0.0205725\pi\) | |||||||
\(942\) | −20.0236 | + | 18.0293i | −0.652404 | + | 0.587427i | ||||
\(943\) | −7.86629 | − | 24.2099i | −0.256162 | − | 0.788384i | ||||
\(944\) | 6.89025 | − | 0.724194i | 0.224259 | − | 0.0235705i | ||||
\(945\) | − | 14.6969i | − | 0.478091i | ||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 43.3013i | 1.40710i | 0.710645 | + | 0.703551i | \(0.248403\pi\) | ||||
−0.710645 | + | 0.703551i | \(0.751597\pi\) | |||||||
\(948\) | 15.9408 | − | 35.8035i | 0.517732 | − | 1.16284i | ||||
\(949\) | 7.41641 | + | 22.8254i | 0.240747 | + | 0.740942i | ||||
\(950\) | 10.7061 | + | 11.8903i | 0.347351 | + | 0.385773i | ||||
\(951\) | −25.4518 | + | 35.0315i | −0.825333 | + | 1.13597i | ||||
\(952\) | 23.0364 | − | 31.7069i | 0.746613 | − | 1.02763i | ||||
\(953\) | 32.6144 | + | 10.5971i | 1.05649 | + | 0.343273i | 0.785210 | − | 0.619229i | \(-0.212555\pi\) |
0.271275 | + | 0.962502i | \(0.412555\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.05422 | − | 4.20378i | −0.0988323 | − | 0.136031i | ||||
\(956\) | −5.65685 | − | 9.79796i | −0.182956 | − | 0.316889i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −22.0000 | + | 38.1051i | −0.710788 | + | 1.23112i | ||||
\(959\) | −43.4767 | + | 31.5876i | −1.40393 | + | 1.02002i | ||||
\(960\) | 13.1782 | − | 4.28187i | 0.425325 | − | 0.138197i | ||||
\(961\) | 8.65248 | − | 26.6296i | 0.279112 | − | 0.859019i | ||||
\(962\) | −8.45386 | − | 18.9877i | −0.272563 | − | 0.612188i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 12.2227 | + | 57.5031i | 0.393665 | + | 1.85205i | ||||
\(965\) | −9.31841 | + | 3.02774i | −0.299970 | + | 0.0974663i | ||||
\(966\) | −3.76302 | − | 35.8028i | −0.121073 | − | 1.15194i | ||||
\(967\) | 45.2548 | 1.45530 | 0.727649 | − | 0.685950i | \(-0.240613\pi\) | ||||
0.727649 | + | 0.685950i | \(0.240613\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 24.0000 | 0.770991 | ||||||||
\(970\) | 1.03478 | + | 9.84526i | 0.0332248 | + | 0.316112i | ||||
\(971\) | 31.2983 | − | 10.1694i | 1.00441 | − | 0.326353i | 0.239783 | − | 0.970826i | \(-0.422924\pi\) |
0.764626 | + | 0.644474i | \(0.222924\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −45.3050 | − | 32.9160i | −1.45241 | − | 1.05524i | ||||
\(974\) | −22.9148 | − | 51.4676i | −0.734239 | − | 1.64913i | ||||
\(975\) | −10.4884 | + | 32.2799i | −0.335897 | + | 1.03379i | ||||
\(976\) | 8.14844 | − | 38.3354i | 0.260825 | − | 1.22709i | ||||
\(977\) | −15.3713 | + | 11.1679i | −0.491772 | + | 0.357293i | −0.805865 | − | 0.592099i | \(-0.798300\pi\) |
0.314093 | + | 0.949392i | \(0.398300\pi\) | |||||||
\(978\) | −21.2132 | + | 36.7423i | −0.678323 | + | 1.17489i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 1.00000 | + | 1.73205i | 0.0319438 | + | 0.0553283i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 46.9511 | + | 9.97976i | 1.49827 | + | 0.318467i | ||||
\(983\) | 1.64728 | + | 0.535233i | 0.0525400 | + | 0.0170713i | 0.335169 | − | 0.942158i | \(-0.391207\pi\) |
−0.282629 | + | 0.959229i | \(0.591207\pi\) | |||||||
\(984\) | −19.4164 | − | 14.1068i | −0.618972 | − | 0.449710i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −5.24419 | − | 16.1400i | −0.166924 | − | 0.513741i | ||||
\(988\) | −11.2718 | + | 25.3169i | −0.358604 | + | 0.805438i | ||||
\(989\) | − | 29.3939i | − | 0.934671i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 51.9615i | − | 1.65061i | −0.564686 | − | 0.825306i | \(-0.691003\pi\) | ||
0.564686 | − | 0.825306i | \(-0.308997\pi\) | |||||||
\(992\) | −3.98519 | + | 8.95088i | −0.126530 | + | 0.284191i | ||||
\(993\) | 2.78115 | + | 8.55951i | 0.0882572 | + | 0.271628i | ||||
\(994\) | 36.0406 | − | 32.4511i | 1.14314 | − | 1.02929i | ||||
\(995\) | 6.10844 | − | 8.40755i | 0.193651 | − | 0.266537i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.65921 | + | 1.51387i | 0.147559 | + | 0.0479447i | 0.381865 | − | 0.924218i | \(-0.375282\pi\) |
−0.234306 | + | 0.972163i | \(0.575282\pi\) | |||||||
\(998\) | −5.09278 | + | 23.9596i | −0.161209 | + | 0.758429i | ||||
\(999\) | −9.16267 | − | 12.6113i | −0.289894 | − | 0.399005i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))