Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(6,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([36, 70]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.bc (of order \(45\), degree \(24\), 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: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(1152\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 291.32 | ||
Character | \(\chi\) | \(=\) | 475.291 |
Dual form | 475.2.bc.a.111.32 |
$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(e\left(\frac{7}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.970326 | − | 0.0678518i | 0.686124 | − | 0.0479785i | 0.277560 | − | 0.960708i | \(-0.410474\pi\) |
0.408564 | + | 0.912730i | \(0.366030\pi\) | |||||||
\(3\) | 0.0435001 | − | 1.24568i | 0.0251148 | − | 0.719193i | −0.919898 | − | 0.392159i | \(-0.871728\pi\) |
0.945012 | − | 0.327034i | \(-0.106049\pi\) | |||||||
\(4\) | −1.04361 | + | 0.146669i | −0.521803 | + | 0.0733347i | ||||
\(5\) | −0.925421 | + | 2.03558i | −0.413861 | + | 0.910340i | ||||
\(6\) | −0.0423123 | − | 1.21167i | −0.0172739 | − | 0.494661i | ||||
\(7\) | 1.73336 | − | 3.00227i | 0.655150 | − | 1.13475i | −0.326706 | − | 0.945126i | \(-0.605939\pi\) |
0.981856 | − | 0.189627i | \(-0.0607279\pi\) | |||||||
\(8\) | −2.90557 | + | 0.617597i | −1.02727 | + | 0.218354i | ||||
\(9\) | 1.44287 | + | 0.100895i | 0.480956 | + | 0.0336317i | ||||
\(10\) | −0.759842 | + | 2.03797i | −0.240283 | + | 0.644463i | ||||
\(11\) | 0.537600 | − | 5.11492i | 0.162093 | − | 1.54221i | −0.547024 | − | 0.837117i | \(-0.684239\pi\) |
0.709117 | − | 0.705091i | \(-0.249094\pi\) | |||||||
\(12\) | 0.137306 | + | 1.30638i | 0.0396368 | + | 0.377119i | ||||
\(13\) | 1.48306 | − | 2.19873i | 0.411328 | − | 0.609819i | −0.565266 | − | 0.824909i | \(-0.691227\pi\) |
0.976594 | + | 0.215090i | \(0.0690044\pi\) | |||||||
\(14\) | 1.47822 | − | 3.03080i | 0.395071 | − | 0.810015i | ||||
\(15\) | 2.49543 | + | 1.24133i | 0.644316 | + | 0.320509i | ||||
\(16\) | −0.751368 | + | 0.215451i | −0.187842 | + | 0.0538628i | ||||
\(17\) | −0.412340 | − | 1.02058i | −0.100007 | − | 0.247526i | 0.868883 | − | 0.495017i | \(-0.164838\pi\) |
−0.968890 | + | 0.247491i | \(0.920394\pi\) | |||||||
\(18\) | 1.40690 | 0.331609 | ||||||||
\(19\) | −0.00711364 | − | 4.35889i | −0.00163198 | − | 0.999999i | ||||
\(20\) | 0.667218 | − | 2.26008i | 0.149194 | − | 0.505369i | ||||
\(21\) | −3.66447 | − | 2.28981i | −0.799653 | − | 0.499678i | ||||
\(22\) | 0.174591 | − | 4.99962i | 0.0372229 | − | 1.06592i | ||||
\(23\) | −0.845828 | + | 0.816807i | −0.176367 | + | 0.170316i | −0.777603 | − | 0.628756i | \(-0.783564\pi\) |
0.601235 | + | 0.799072i | \(0.294676\pi\) | |||||||
\(24\) | 0.642936 | + | 3.64627i | 0.131239 | + | 0.744292i | ||||
\(25\) | −3.28719 | − | 3.76754i | −0.657439 | − | 0.753508i | ||||
\(26\) | 1.28987 | − | 2.23412i | 0.252964 | − | 0.438147i | ||||
\(27\) | 0.579313 | − | 5.51179i | 0.111489 | − | 1.06074i | ||||
\(28\) | −1.36861 | + | 3.38742i | −0.258643 | + | 0.640163i | ||||
\(29\) | −2.91333 | + | 7.21074i | −0.540991 | + | 1.33900i | 0.370940 | + | 0.928657i | \(0.379036\pi\) |
−0.911931 | + | 0.410344i | \(0.865409\pi\) | |||||||
\(30\) | 2.50560 | + | 1.03517i | 0.457459 | + | 0.188996i | ||||
\(31\) | 5.38690 | + | 5.98276i | 0.967516 | + | 1.07453i | 0.997185 | + | 0.0749752i | \(0.0238878\pi\) |
−0.0296698 | + | 0.999560i | \(0.509446\pi\) | |||||||
\(32\) | 4.86822 | − | 1.77189i | 0.860588 | − | 0.313228i | ||||
\(33\) | −6.34817 | − | 0.892177i | −1.10507 | − | 0.155308i | ||||
\(34\) | −0.469353 | − | 0.962315i | −0.0804933 | − | 0.165036i | ||||
\(35\) | 4.50729 | + | 6.30677i | 0.761870 | + | 1.06604i | ||||
\(36\) | −1.52059 | + | 0.106330i | −0.253431 | + | 0.0177216i | ||||
\(37\) | 4.56145 | − | 3.31409i | 0.749898 | − | 0.544833i | −0.145897 | − | 0.989300i | \(-0.546607\pi\) |
0.895795 | + | 0.444467i | \(0.146607\pi\) | |||||||
\(38\) | −0.302661 | − | 4.22907i | −0.0490982 | − | 0.686045i | ||||
\(39\) | −2.67440 | − | 1.94307i | −0.428247 | − | 0.311140i | ||||
\(40\) | 1.43170 | − | 6.48606i | 0.226372 | − | 1.02554i | ||||
\(41\) | −9.05362 | + | 2.59609i | −1.41394 | + | 0.405440i | −0.893732 | − | 0.448600i | \(-0.851923\pi\) |
−0.520206 | + | 0.854041i | \(0.674145\pi\) | |||||||
\(42\) | −3.71110 | − | 1.97323i | −0.572635 | − | 0.304475i | ||||
\(43\) | 1.13747 | + | 6.45089i | 0.173462 | + | 0.983752i | 0.939904 | + | 0.341438i | \(0.110914\pi\) |
−0.766442 | + | 0.642313i | \(0.777975\pi\) | |||||||
\(44\) | 0.189159 | + | 5.41682i | 0.0285169 | + | 0.816616i | ||||
\(45\) | −1.54064 | + | 2.84371i | −0.229665 | + | 0.423915i | ||||
\(46\) | −0.765308 | + | 0.849960i | −0.112838 | + | 0.125320i | ||||
\(47\) | 2.43381 | − | 6.02390i | 0.355008 | − | 0.878676i | −0.638983 | − | 0.769221i | \(-0.720645\pi\) |
0.993992 | − | 0.109456i | \(-0.0349108\pi\) | |||||||
\(48\) | 0.235699 | + | 0.945336i | 0.0340202 | + | 0.136447i | ||||
\(49\) | −2.50910 | − | 4.34589i | −0.358443 | − | 0.620841i | ||||
\(50\) | −3.44528 | − | 3.43270i | −0.487237 | − | 0.485457i | ||||
\(51\) | −1.28925 | + | 0.469248i | −0.180531 | + | 0.0657079i | ||||
\(52\) | −1.22525 | + | 2.51213i | −0.169911 | + | 0.348370i | ||||
\(53\) | −1.04905 | + | 0.147435i | −0.144099 | + | 0.0202517i | −0.210854 | − | 0.977518i | \(-0.567624\pi\) |
0.0667549 | + | 0.997769i | \(0.478735\pi\) | |||||||
\(54\) | 0.188137 | − | 5.38754i | 0.0256022 | − | 0.733152i | ||||
\(55\) | 9.91434 | + | 5.82779i | 1.33685 | + | 0.785819i | ||||
\(56\) | −3.18221 | + | 9.79383i | −0.425241 | + | 1.30876i | ||||
\(57\) | −5.43009 | − | 0.180751i | −0.719233 | − | 0.0239410i | ||||
\(58\) | −2.33762 | + | 7.19445i | −0.306944 | + | 0.944677i | ||||
\(59\) | −1.64663 | + | 6.60426i | −0.214373 | + | 0.859801i | 0.762675 | + | 0.646781i | \(0.223885\pi\) |
−0.977048 | + | 0.213020i | \(0.931670\pi\) | |||||||
\(60\) | −2.78631 | − | 0.929453i | −0.359711 | − | 0.119992i | ||||
\(61\) | 3.50937 | − | 3.38895i | 0.449328 | − | 0.433911i | −0.435245 | − | 0.900312i | \(-0.643338\pi\) |
0.884574 | + | 0.466401i | \(0.154450\pi\) | |||||||
\(62\) | 5.63299 | + | 5.43972i | 0.715391 | + | 0.690845i | ||||
\(63\) | 2.80393 | − | 4.15700i | 0.353262 | − | 0.523733i | ||||
\(64\) | 6.03168 | − | 2.68548i | 0.753960 | − | 0.335685i | ||||
\(65\) | 3.10324 | + | 5.05365i | 0.384910 | + | 0.626829i | ||||
\(66\) | −6.22033 | − | 0.434968i | −0.765670 | − | 0.0535408i | ||||
\(67\) | −4.42369 | + | 2.76423i | −0.540439 | + | 0.337704i | −0.772518 | − | 0.634993i | \(-0.781003\pi\) |
0.232078 | + | 0.972697i | \(0.425447\pi\) | |||||||
\(68\) | 0.580008 | + | 1.00460i | 0.0703363 | + | 0.121826i | ||||
\(69\) | 0.980686 | + | 1.08916i | 0.118061 | + | 0.131120i | ||||
\(70\) | 4.80147 | + | 5.81380i | 0.573885 | + | 0.694882i | ||||
\(71\) | 2.03485 | − | 1.08195i | 0.241492 | − | 0.128404i | −0.344315 | − | 0.938854i | \(-0.611889\pi\) |
0.585807 | + | 0.810451i | \(0.300778\pi\) | |||||||
\(72\) | −4.25466 | + | 0.597954i | −0.501417 | + | 0.0704696i | ||||
\(73\) | 3.86508 | + | 5.73021i | 0.452373 | + | 0.670671i | 0.984377 | − | 0.176071i | \(-0.0563388\pi\) |
−0.532004 | + | 0.846742i | \(0.678561\pi\) | |||||||
\(74\) | 4.20123 | − | 3.52525i | 0.488383 | − | 0.409802i | ||||
\(75\) | −4.83614 | + | 3.93090i | −0.558429 | + | 0.453901i | ||||
\(76\) | 0.646740 | + | 4.54793i | 0.0741861 | + | 0.521683i | ||||
\(77\) | −14.4245 | − | 10.4800i | −1.64383 | − | 1.19431i | ||||
\(78\) | −2.72688 | − | 1.70395i | −0.308759 | − | 0.192934i | ||||
\(79\) | 0.147285 | − | 4.21769i | 0.0165708 | − | 0.474527i | −0.962533 | − | 0.271165i | \(-0.912591\pi\) |
0.979104 | − | 0.203362i | \(-0.0651868\pi\) | |||||||
\(80\) | 0.256763 | − | 1.72886i | 0.0287069 | − | 0.193292i | ||||
\(81\) | −2.54378 | − | 0.357504i | −0.282642 | − | 0.0397227i | ||||
\(82\) | −8.60882 | + | 3.13335i | −0.950685 | + | 0.346021i | ||||
\(83\) | 4.22026 | + | 4.68708i | 0.463234 | + | 0.514473i | 0.928821 | − | 0.370529i | \(-0.120823\pi\) |
−0.465587 | + | 0.885002i | \(0.654157\pi\) | |||||||
\(84\) | 4.16011 | + | 1.85220i | 0.453905 | + | 0.202092i | ||||
\(85\) | 2.45906 | + | 0.105111i | 0.266722 | + | 0.0114009i | ||||
\(86\) | 1.54142 | + | 6.18229i | 0.166215 | + | 0.666654i | ||||
\(87\) | 8.85554 | + | 3.94274i | 0.949413 | + | 0.422706i | ||||
\(88\) | 1.59693 | + | 15.1938i | 0.170233 | + | 1.61966i | ||||
\(89\) | −4.28322 | − | 1.22819i | −0.454020 | − | 0.130188i | 0.0408306 | − | 0.999166i | \(-0.487000\pi\) |
−0.494851 | + | 0.868978i | \(0.664777\pi\) | |||||||
\(90\) | −1.30197 | + | 2.86386i | −0.137240 | + | 0.301877i | ||||
\(91\) | −4.03051 | − | 8.26377i | −0.422512 | − | 0.866279i | ||||
\(92\) | 0.762912 | − | 0.976482i | 0.0795390 | − | 0.101805i | ||||
\(93\) | 7.68693 | − | 6.45010i | 0.797097 | − | 0.668844i | ||||
\(94\) | 1.95286 | − | 6.01029i | 0.201422 | − | 0.619914i | ||||
\(95\) | 8.87947 | + | 4.01933i | 0.911014 | + | 0.412375i | ||||
\(96\) | −1.99544 | − | 6.14132i | −0.203658 | − | 0.626796i | ||||
\(97\) | 11.0573 | + | 6.90936i | 1.12270 | + | 0.701539i | 0.958558 | − | 0.284898i | \(-0.0919599\pi\) |
0.164139 | + | 0.986437i | \(0.447515\pi\) | |||||||
\(98\) | −2.72952 | − | 4.04668i | −0.275723 | − | 0.408777i | ||||
\(99\) | 1.29176 | − | 7.32592i | 0.129827 | − | 0.736283i | ||||
\(100\) | 3.98312 | + | 3.44970i | 0.398312 | + | 0.344970i | ||||
\(101\) | −2.40242 | + | 0.874411i | −0.239050 | + | 0.0870071i | −0.458767 | − | 0.888557i | \(-0.651709\pi\) |
0.219717 | + | 0.975564i | \(0.429487\pi\) | |||||||
\(102\) | −1.21915 | + | 0.542802i | −0.120714 | + | 0.0537454i | ||||
\(103\) | 2.38994 | − | 2.65430i | 0.235488 | − | 0.261536i | −0.613805 | − | 0.789458i | \(-0.710362\pi\) |
0.849293 | + | 0.527922i | \(0.177029\pi\) | |||||||
\(104\) | −2.95121 | + | 7.30451i | −0.289390 | + | 0.716266i | ||||
\(105\) | 8.05228 | − | 5.34029i | 0.785822 | − | 0.521159i | ||||
\(106\) | −1.00792 | + | 0.214240i | −0.0978979 | + | 0.0208088i | ||||
\(107\) | 7.56451 | − | 13.1021i | 0.731289 | − | 1.26663i | −0.225044 | − | 0.974349i | \(-0.572253\pi\) |
0.956333 | − | 0.292281i | \(-0.0944141\pi\) | |||||||
\(108\) | 0.203836 | + | 5.83711i | 0.0196142 | + | 0.561676i | ||||
\(109\) | 6.21763 | + | 6.00430i | 0.595541 | + | 0.575107i | 0.930118 | − | 0.367261i | \(-0.119704\pi\) |
−0.334577 | + | 0.942369i | \(0.608593\pi\) | |||||||
\(110\) | 10.0156 | + | 4.98215i | 0.954948 | + | 0.475029i | ||||
\(111\) | −3.92987 | − | 5.82627i | −0.373007 | − | 0.553005i | ||||
\(112\) | −0.655550 | + | 2.62927i | −0.0619437 | + | 0.248443i | ||||
\(113\) | −8.80767 | + | 6.39914i | −0.828555 | + | 0.601981i | −0.919150 | − | 0.393907i | \(-0.871123\pi\) |
0.0905948 | + | 0.995888i | \(0.471123\pi\) | |||||||
\(114\) | −5.28122 | + | 0.193054i | −0.494632 | + | 0.0180812i | ||||
\(115\) | −0.879931 | − | 2.47764i | −0.0820540 | − | 0.231041i | ||||
\(116\) | 1.98277 | − | 7.95247i | 0.184096 | − | 0.738368i | ||||
\(117\) | 2.36171 | − | 3.02285i | 0.218340 | − | 0.279462i | ||||
\(118\) | −1.14965 | + | 6.52001i | −0.105834 | + | 0.600216i | ||||
\(119\) | −3.77879 | − | 0.531074i | −0.346401 | − | 0.0486835i | ||||
\(120\) | −8.01727 | − | 2.06559i | −0.731873 | − | 0.188561i | ||||
\(121\) | −15.1138 | − | 3.21254i | −1.37398 | − | 0.292049i | ||||
\(122\) | 3.17528 | − | 3.52651i | 0.287477 | − | 0.319275i | ||||
\(123\) | 2.84006 | + | 11.3908i | 0.256079 | + | 1.02708i | ||||
\(124\) | −6.49929 | − | 5.45355i | −0.583654 | − | 0.489743i | ||||
\(125\) | 10.7112 | − | 3.20479i | 0.958037 | − | 0.286645i | ||||
\(126\) | 2.43867 | − | 4.22390i | 0.217254 | − | 0.376295i | ||||
\(127\) | 10.4539 | + | 2.99761i | 0.927634 | + | 0.265995i | 0.705245 | − | 0.708963i | \(-0.250837\pi\) |
0.222389 | + | 0.974958i | \(0.428615\pi\) | |||||||
\(128\) | −3.47801 | + | 1.84929i | −0.307415 | + | 0.163456i | ||||
\(129\) | 8.08522 | − | 1.13630i | 0.711864 | − | 0.100046i | ||||
\(130\) | 3.35406 | + | 4.69313i | 0.294171 | + | 0.411615i | ||||
\(131\) | 3.66236 | + | 9.06465i | 0.319982 | + | 0.791982i | 0.998359 | + | 0.0572684i | \(0.0182391\pi\) |
−0.678377 | + | 0.734714i | \(0.737316\pi\) | |||||||
\(132\) | 6.75584 | 0.588021 | ||||||||
\(133\) | −13.0989 | − | 7.53419i | −1.13582 | − | 0.653297i | ||||
\(134\) | −4.10486 | + | 2.98236i | −0.354606 | + | 0.257636i | ||||
\(135\) | 10.6836 | + | 6.27997i | 0.919498 | + | 0.540493i | ||||
\(136\) | 1.82839 | + | 2.71070i | 0.156783 | + | 0.232440i | ||||
\(137\) | 4.70138 | + | 9.63925i | 0.401666 | + | 0.823537i | 0.999756 | + | 0.0221079i | \(0.00703775\pi\) |
−0.598090 | + | 0.801429i | \(0.704073\pi\) | |||||||
\(138\) | 1.02549 | + | 0.990301i | 0.0872952 | + | 0.0843000i | ||||
\(139\) | −17.3598 | − | 4.97783i | −1.47244 | − | 0.422214i | −0.558991 | − | 0.829174i | \(-0.688811\pi\) |
−0.913446 | + | 0.406960i | \(0.866589\pi\) | |||||||
\(140\) | −5.62884 | − | 5.92071i | −0.475724 | − | 0.500391i | ||||
\(141\) | −7.39798 | − | 3.29379i | −0.623022 | − | 0.277387i | ||||
\(142\) | 1.90106 | − | 1.18791i | 0.159533 | − | 0.0996874i | ||||
\(143\) | −10.4491 | − | 8.76780i | −0.873794 | − | 0.733200i | ||||
\(144\) | −1.10586 | + | 0.235059i | −0.0921553 | + | 0.0195882i | ||||
\(145\) | −11.9820 | − | 12.6033i | −0.995051 | − | 1.04665i | ||||
\(146\) | 4.13919 | + | 5.29792i | 0.342562 | + | 0.438459i | ||||
\(147\) | −5.52273 | + | 2.93649i | −0.455507 | + | 0.242197i | ||||
\(148\) | −4.27429 | + | 4.12763i | −0.351344 | + | 0.339289i | ||||
\(149\) | −22.5293 | − | 8.19998i | −1.84567 | − | 0.671769i | −0.987328 | − | 0.158690i | \(-0.949273\pi\) |
−0.858341 | − | 0.513079i | \(-0.828505\pi\) | |||||||
\(150\) | −4.42592 | + | 4.14240i | −0.361374 | + | 0.338225i | ||||
\(151\) | −3.87523 | −0.315361 | −0.157681 | − | 0.987490i | \(-0.550402\pi\) | ||||
−0.157681 | + | 0.987490i | \(0.550402\pi\) | |||||||
\(152\) | 2.71271 | + | 12.6607i | 0.220030 | + | 1.02692i | ||||
\(153\) | −0.491981 | − | 1.51416i | −0.0397743 | − | 0.122413i | ||||
\(154\) | −14.7076 | − | 9.19034i | −1.18517 | − | 0.740578i | ||||
\(155\) | −17.1635 | + | 5.42891i | −1.37861 | + | 0.436061i | ||||
\(156\) | 3.07601 | + | 1.63554i | 0.246278 | + | 0.130948i | ||||
\(157\) | 1.05167 | + | 5.96430i | 0.0839322 | + | 0.476003i | 0.997582 | + | 0.0695007i | \(0.0221406\pi\) |
−0.913650 | + | 0.406502i | \(0.866748\pi\) | |||||||
\(158\) | −0.143263 | − | 4.10253i | −0.0113974 | − | 0.326380i | ||||
\(159\) | 0.138023 | + | 1.31320i | 0.0109459 | + | 0.104143i | ||||
\(160\) | −0.898330 | + | 11.5494i | −0.0710192 | + | 0.913061i | ||||
\(161\) | 0.986150 | + | 3.95523i | 0.0777195 | + | 0.311716i | ||||
\(162\) | −2.49255 | − | 0.174296i | −0.195833 | − | 0.0136940i | ||||
\(163\) | −20.0042 | − | 8.90643i | −1.56685 | − | 0.697606i | −0.574208 | − | 0.818710i | \(-0.694690\pi\) |
−0.992640 | + | 0.121104i | \(0.961357\pi\) | |||||||
\(164\) | 9.06766 | − | 4.03718i | 0.708065 | − | 0.315251i | ||||
\(165\) | 7.69083 | − | 12.0966i | 0.598730 | − | 0.941717i | ||||
\(166\) | 4.41306 | + | 4.26164i | 0.342520 | + | 0.330767i | ||||
\(167\) | 12.1442 | + | 6.45716i | 0.939743 | + | 0.499670i | 0.867346 | − | 0.497706i | \(-0.165824\pi\) |
0.0723969 | + | 0.997376i | \(0.476935\pi\) | |||||||
\(168\) | 12.0615 | + | 4.39004i | 0.930568 | + | 0.338699i | ||||
\(169\) | 2.23494 | + | 5.53166i | 0.171918 | + | 0.425513i | ||||
\(170\) | 2.39322 | − | 0.0648592i | 0.183552 | − | 0.00497448i | ||||
\(171\) | 0.429527 | − | 6.29003i | 0.0328468 | − | 0.481010i | ||||
\(172\) | −2.13322 | − | 6.56536i | −0.162656 | − | 0.500604i | ||||
\(173\) | 20.4246 | − | 1.42823i | 1.55286 | − | 0.108586i | 0.732631 | − | 0.680627i | \(-0.238292\pi\) |
0.820226 | + | 0.572040i | \(0.193848\pi\) | |||||||
\(174\) | 8.86028 | + | 3.22488i | 0.671696 | + | 0.244477i | ||||
\(175\) | −17.0091 | + | 3.33853i | −1.28577 | + | 0.252370i | ||||
\(176\) | 0.698082 | + | 3.95902i | 0.0526199 | + | 0.298422i | ||||
\(177\) | 8.15516 | + | 2.33845i | 0.612979 | + | 0.175769i | ||||
\(178\) | −4.23946 | − | 0.901124i | −0.317761 | − | 0.0675421i | ||||
\(179\) | −6.31325 | + | 7.01157i | −0.471874 | + | 0.524070i | −0.931352 | − | 0.364120i | \(-0.881370\pi\) |
0.459478 | + | 0.888189i | \(0.348037\pi\) | |||||||
\(180\) | 1.19074 | − | 3.19368i | 0.0887524 | − | 0.238043i | ||||
\(181\) | −1.12349 | + | 0.702034i | −0.0835084 | + | 0.0521818i | −0.571031 | − | 0.820929i | \(-0.693456\pi\) |
0.487522 | + | 0.873110i | \(0.337901\pi\) | |||||||
\(182\) | −4.47162 | − | 7.74508i | −0.331459 | − | 0.574103i | ||||
\(183\) | −4.06889 | − | 4.51896i | −0.300781 | − | 0.334051i | ||||
\(184\) | 1.95315 | − | 2.89567i | 0.143988 | − | 0.213472i | ||||
\(185\) | 2.52484 | + | 12.3521i | 0.185630 | + | 0.908148i | ||||
\(186\) | 7.02118 | − | 6.78027i | 0.514818 | − | 0.497154i | ||||
\(187\) | −5.44185 | + | 1.56043i | −0.397948 | + | 0.114110i | ||||
\(188\) | −1.65642 | + | 6.64355i | −0.120807 | + | 0.484531i | ||||
\(189\) | −15.5438 | − | 11.2932i | −1.13064 | − | 0.821459i | ||||
\(190\) | 8.88870 | + | 3.29757i | 0.644854 | + | 0.239231i | ||||
\(191\) | 15.9587 | − | 11.5947i | 1.15473 | − | 0.838960i | 0.165626 | − | 0.986189i | \(-0.447035\pi\) |
0.989102 | + | 0.147229i | \(0.0470355\pi\) | |||||||
\(192\) | −3.08286 | − | 7.63036i | −0.222487 | − | 0.550673i | ||||
\(193\) | 2.58406 | + | 0.940521i | 0.186005 | + | 0.0677002i | 0.433343 | − | 0.901229i | \(-0.357334\pi\) |
−0.247339 | + | 0.968929i | \(0.579556\pi\) | |||||||
\(194\) | 11.1980 | + | 5.95407i | 0.803968 | + | 0.427478i | ||||
\(195\) | 6.43022 | − | 3.64581i | 0.460478 | − | 0.261082i | ||||
\(196\) | 3.25592 | + | 4.16739i | 0.232566 | + | 0.297671i | ||||
\(197\) | −11.1835 | − | 2.37712i | −0.796790 | − | 0.169363i | −0.208510 | − | 0.978020i | \(-0.566861\pi\) |
−0.588280 | + | 0.808657i | \(0.700195\pi\) | |||||||
\(198\) | 0.756349 | − | 7.19618i | 0.0537514 | − | 0.511411i | ||||
\(199\) | 9.11252 | + | 7.64631i | 0.645969 | + | 0.542032i | 0.905845 | − | 0.423610i | \(-0.139237\pi\) |
−0.259876 | + | 0.965642i | \(0.583682\pi\) | |||||||
\(200\) | 11.8780 | + | 8.91668i | 0.839900 | + | 0.630505i | ||||
\(201\) | 3.25091 | + | 5.63074i | 0.229301 | + | 0.397162i | ||||
\(202\) | −2.27180 | + | 1.01147i | −0.159844 | + | 0.0711670i | ||||
\(203\) | 16.5988 | + | 21.2454i | 1.16500 | + | 1.49114i | ||||
\(204\) | 1.27664 | − | 0.678804i | 0.0893830 | − | 0.0475258i | ||||
\(205\) | 3.09387 | − | 20.8319i | 0.216085 | − | 1.45496i | ||||
\(206\) | 2.13892 | − | 2.73770i | 0.149026 | − | 0.190744i | ||||
\(207\) | −1.30283 | + | 1.09321i | −0.0905530 | + | 0.0759830i | ||||
\(208\) | −0.640607 | + | 1.97159i | −0.0444181 | + | 0.136705i | ||||
\(209\) | −22.2992 | − | 2.30696i | −1.54247 | − | 0.159575i | ||||
\(210\) | 7.45099 | − | 5.72818i | 0.514167 | − | 0.395282i | ||||
\(211\) | 3.73380 | − | 0.261093i | 0.257045 | − | 0.0179744i | 0.0593476 | − | 0.998237i | \(-0.481098\pi\) |
0.197698 | + | 0.980263i | \(0.436654\pi\) | |||||||
\(212\) | 1.07318 | − | 0.307728i | 0.0737060 | − | 0.0211348i | ||||
\(213\) | −1.25925 | − | 2.58184i | −0.0862821 | − | 0.176904i | ||||
\(214\) | 6.45104 | − | 13.2266i | 0.440984 | − | 0.904151i | ||||
\(215\) | −14.1840 | − | 3.65438i | −0.967338 | − | 0.249227i | ||||
\(216\) | 1.72084 | + | 16.3727i | 0.117088 | + | 1.11402i | ||||
\(217\) | 27.2993 | − | 5.80265i | 1.85320 | − | 0.393910i | ||||
\(218\) | 6.44054 | + | 5.40425i | 0.436208 | + | 0.366022i | ||||
\(219\) | 7.30614 | − | 4.56538i | 0.493703 | − | 0.308500i | ||||
\(220\) | −11.2014 | − | 4.62779i | −0.755200 | − | 0.312005i | ||||
\(221\) | −2.85550 | − | 0.606956i | −0.192082 | − | 0.0408283i | ||||
\(222\) | −4.20858 | − | 5.38673i | −0.282461 | − | 0.361534i | ||||
\(223\) | −2.40754 | + | 4.93618i | −0.161221 | + | 0.330551i | −0.964078 | − | 0.265620i | \(-0.914423\pi\) |
0.802857 | + | 0.596171i | \(0.203312\pi\) | |||||||
\(224\) | 3.11871 | − | 17.6871i | 0.208377 | − | 1.18177i | ||||
\(225\) | −4.36286 | − | 5.76773i | −0.290857 | − | 0.384515i | ||||
\(226\) | −8.11212 | + | 6.80687i | −0.539610 | + | 0.452787i | ||||
\(227\) | 12.8307 | + | 9.32205i | 0.851604 | + | 0.618726i | 0.925588 | − | 0.378533i | \(-0.123571\pi\) |
−0.0739839 | + | 0.997259i | \(0.523571\pi\) | |||||||
\(228\) | 5.69339 | − | 0.607795i | 0.377054 | − | 0.0402522i | ||||
\(229\) | −5.94364 | − | 18.2926i | −0.392767 | − | 1.20881i | −0.930687 | − | 0.365816i | \(-0.880790\pi\) |
0.537921 | − | 0.842995i | \(-0.319210\pi\) | |||||||
\(230\) | −1.02193 | − | 2.34442i | −0.0673843 | − | 0.154586i | ||||
\(231\) | −13.6822 | + | 17.5125i | −0.900226 | + | 1.15224i | ||||
\(232\) | 4.01154 | − | 22.7506i | 0.263370 | − | 1.49365i | ||||
\(233\) | 19.5324 | + | 2.74510i | 1.27961 | + | 0.179838i | 0.746031 | − | 0.665912i | \(-0.231957\pi\) |
0.533580 | + | 0.845749i | \(0.320846\pi\) | |||||||
\(234\) | 2.08652 | − | 3.09340i | 0.136400 | − | 0.202222i | ||||
\(235\) | 10.0098 | + | 10.5289i | 0.652970 | + | 0.686828i | ||||
\(236\) | 0.749788 | − | 7.13376i | 0.0488070 | − | 0.464368i | ||||
\(237\) | −5.24748 | − | 0.366939i | −0.340860 | − | 0.0238353i | ||||
\(238\) | −3.70269 | − | 0.258918i | −0.240010 | − | 0.0167831i | ||||
\(239\) | −2.85490 | + | 27.1625i | −0.184668 | + | 1.75700i | 0.373835 | + | 0.927495i | \(0.378043\pi\) |
−0.558503 | + | 0.829503i | \(0.688624\pi\) | |||||||
\(240\) | −2.14243 | − | 0.395049i | −0.138293 | − | 0.0255003i | ||||
\(241\) | 6.47601 | − | 9.60107i | 0.417156 | − | 0.618460i | −0.560629 | − | 0.828067i | \(-0.689441\pi\) |
0.977786 | + | 0.209607i | \(0.0672185\pi\) | |||||||
\(242\) | −14.8833 | − | 2.09171i | −0.956735 | − | 0.134460i | ||||
\(243\) | 2.33116 | − | 13.2207i | 0.149544 | − | 0.848108i | ||||
\(244\) | −3.16534 | + | 4.05145i | −0.202640 | + | 0.259368i | ||||
\(245\) | 11.1684 | − | 1.08570i | 0.713522 | − | 0.0693631i | ||||
\(246\) | 3.52867 | + | 10.8601i | 0.224980 | + | 0.692417i | ||||
\(247\) | −9.59459 | − | 6.44888i | −0.610489 | − | 0.410332i | ||||
\(248\) | −19.3469 | − | 14.0564i | −1.22853 | − | 0.892580i | ||||
\(249\) | 6.02217 | − | 5.05320i | 0.381640 | − | 0.320234i | ||||
\(250\) | 10.1759 | − | 3.83647i | 0.643580 | − | 0.242639i | ||||
\(251\) | 3.74128 | − | 21.2179i | 0.236148 | − | 1.33926i | −0.604035 | − | 0.796958i | \(-0.706441\pi\) |
0.840183 | − | 0.542303i | \(-0.182447\pi\) | |||||||
\(252\) | −2.31650 | + | 4.74952i | −0.145926 | + | 0.299192i | ||||
\(253\) | 3.72319 | + | 4.76546i | 0.234075 | + | 0.299602i | ||||
\(254\) | 10.3471 | + | 2.19934i | 0.649235 | + | 0.137999i | ||||
\(255\) | 0.237904 | − | 3.05862i | 0.0148981 | − | 0.191538i | ||||
\(256\) | −14.4478 | + | 9.02798i | −0.902987 | + | 0.564249i | ||||
\(257\) | 10.5281 | + | 8.83415i | 0.656727 | + | 0.551059i | 0.909104 | − | 0.416570i | \(-0.136768\pi\) |
−0.252377 | + | 0.967629i | \(0.581212\pi\) | |||||||
\(258\) | 7.76820 | − | 1.65118i | 0.483627 | − | 0.102798i | ||||
\(259\) | −2.04315 | − | 19.4393i | −0.126955 | − | 1.20790i | ||||
\(260\) | −3.97978 | − | 4.81888i | −0.246816 | − | 0.298854i | ||||
\(261\) | −4.93108 | + | 10.1102i | −0.305226 | + | 0.625806i | ||||
\(262\) | 4.16873 | + | 8.54717i | 0.257545 | + | 0.528046i | ||||
\(263\) | −8.87367 | + | 2.54448i | −0.547174 | + | 0.156900i | −0.537825 | − | 0.843057i | \(-0.680754\pi\) |
−0.00934918 | + | 0.999956i | \(0.502976\pi\) | |||||||
\(264\) | 18.9960 | − | 1.32833i | 1.16913 | − | 0.0817532i | ||||
\(265\) | 0.670700 | − | 2.27187i | 0.0412008 | − | 0.139560i | ||||
\(266\) | −13.2214 | − | 6.42184i | −0.810659 | − | 0.393748i | ||||
\(267\) | −1.71626 | + | 5.28209i | −0.105033 | + | 0.323259i | ||||
\(268\) | 4.21116 | − | 3.53358i | 0.257238 | − | 0.215848i | ||||
\(269\) | 10.6918 | − | 13.6849i | 0.651893 | − | 0.834385i | −0.342568 | − | 0.939493i | \(-0.611297\pi\) |
0.994461 | + | 0.105108i | \(0.0335189\pi\) | |||||||
\(270\) | 10.7927 | + | 5.36872i | 0.656822 | + | 0.326730i | ||||
\(271\) | −7.82129 | + | 4.15865i | −0.475110 | + | 0.252620i | −0.689715 | − | 0.724081i | \(-0.742264\pi\) |
0.214606 | + | 0.976701i | \(0.431153\pi\) | |||||||
\(272\) | 0.529704 | + | 0.677990i | 0.0321180 | + | 0.0411092i | ||||
\(273\) | −10.4693 | + | 4.66125i | −0.633633 | + | 0.282112i | ||||
\(274\) | 5.21591 | + | 9.03423i | 0.315105 | + | 0.545778i | ||||
\(275\) | −21.0379 | + | 14.7883i | −1.26863 | + | 0.891769i | ||||
\(276\) | −1.18320 | − | 0.992820i | −0.0712201 | − | 0.0597607i | ||||
\(277\) | 0.322187 | − | 3.06540i | 0.0193583 | − | 0.184182i | −0.980570 | − | 0.196171i | \(-0.937149\pi\) |
0.999928 | + | 0.0119882i | \(0.00381605\pi\) | |||||||
\(278\) | −17.1824 | − | 3.65223i | −1.03053 | − | 0.219046i | ||||
\(279\) | 7.16896 | + | 9.17584i | 0.429194 | + | 0.549343i | ||||
\(280\) | −16.9913 | − | 15.5411i | −1.01542 | − | 0.928756i | ||||
\(281\) | 2.45090 | + | 1.30317i | 0.146208 | + | 0.0777403i | 0.540964 | − | 0.841046i | \(-0.318060\pi\) |
−0.394756 | + | 0.918786i | \(0.629171\pi\) | |||||||
\(282\) | −7.40194 | − | 2.69409i | −0.440779 | − | 0.160430i | ||||
\(283\) | −9.96888 | − | 24.6738i | −0.592588 | − | 1.46671i | −0.863623 | − | 0.504138i | \(-0.831810\pi\) |
0.271035 | − | 0.962570i | \(-0.412634\pi\) | |||||||
\(284\) | −1.96489 | + | 1.42758i | −0.116595 | + | 0.0847113i | ||||
\(285\) | 5.39305 | − | 10.8861i | 0.319457 | − | 0.644839i | ||||
\(286\) | −10.7339 | − | 7.79864i | −0.634709 | − | 0.461143i | ||||
\(287\) | −7.89907 | + | 31.6814i | −0.466267 | + | 1.87010i | ||||
\(288\) | 7.20298 | − | 2.06542i | 0.424440 | − | 0.121706i | ||||
\(289\) | 11.3572 | − | 10.9675i | 0.668072 | − | 0.645150i | ||||
\(290\) | −12.4816 | − | 11.4163i | −0.732945 | − | 0.670388i | ||||
\(291\) | 9.08783 | − | 13.4733i | 0.532738 | − | 0.789817i | ||||
\(292\) | −4.87407 | − | 5.41320i | −0.285233 | − | 0.316784i | ||||
\(293\) | −0.0696395 | − | 0.120619i | −0.00406838 | − | 0.00704665i | 0.863984 | − | 0.503519i | \(-0.167962\pi\) |
−0.868052 | + | 0.496473i | \(0.834628\pi\) | |||||||
\(294\) | −5.15960 | + | 3.22408i | −0.300914 | + | 0.188032i | ||||
\(295\) | −11.9197 | − | 9.46356i | −0.693991 | − | 0.550990i | ||||
\(296\) | −11.2068 | + | 12.4465i | −0.651384 | + | 0.723435i | ||||
\(297\) | −27.8810 | − | 5.92628i | −1.61782 | − | 0.343878i | ||||
\(298\) | −22.4171 | − | 6.42801i | −1.29859 | − | 0.372365i | ||||
\(299\) | 0.541523 | + | 3.07113i | 0.0313171 | + | 0.177608i | ||||
\(300\) | 4.47048 | − | 4.81162i | 0.258104 | − | 0.277799i | ||||
\(301\) | 21.3390 | + | 7.76676i | 1.22996 | + | 0.447668i | ||||
\(302\) | −3.76023 | + | 0.262941i | −0.216377 | + | 0.0151306i | ||||
\(303\) | 0.984729 | + | 3.03069i | 0.0565712 | + | 0.174108i | ||||
\(304\) | 0.944474 | + | 3.27360i | 0.0541693 | + | 0.187754i | ||||
\(305\) | 3.65086 | + | 10.2798i | 0.209047 | + | 0.588620i | ||||
\(306\) | −0.580121 | − | 1.43585i | −0.0331633 | − | 0.0820821i | ||||
\(307\) | 23.0553 | + | 8.39145i | 1.31584 | + | 0.478925i | 0.902122 | − | 0.431481i | \(-0.142009\pi\) |
0.413715 | + | 0.910407i | \(0.364231\pi\) | |||||||
\(308\) | 16.5907 | + | 8.82141i | 0.945340 | + | 0.502646i | ||||
\(309\) | −3.20244 | − | 3.09256i | −0.182180 | − | 0.175930i | ||||
\(310\) | −16.2859 | + | 6.43239i | −0.924976 | + | 0.365335i | ||||
\(311\) | −29.5766 | + | 13.1683i | −1.67713 | + | 0.746708i | −0.677193 | + | 0.735806i | \(0.736804\pi\) |
−0.999941 | + | 0.0109024i | \(0.996530\pi\) | |||||||
\(312\) | 8.97069 | + | 3.99401i | 0.507865 | + | 0.226116i | ||||
\(313\) | 32.8012 | + | 2.29368i | 1.85403 | + | 0.129647i | 0.952782 | − | 0.303654i | \(-0.0982066\pi\) |
0.901250 | + | 0.433300i | \(0.142651\pi\) | |||||||
\(314\) | 1.42515 | + | 5.71596i | 0.0804258 | + | 0.322570i | ||||
\(315\) | 5.86710 | + | 9.55461i | 0.330574 | + | 0.538341i | ||||
\(316\) | 0.464898 | + | 4.42321i | 0.0261526 | + | 0.248825i | ||||
\(317\) | 0.244963 | + | 7.01483i | 0.0137585 | + | 0.393992i | 0.986662 | + | 0.162781i | \(0.0520465\pi\) |
−0.972904 | + | 0.231211i | \(0.925731\pi\) | |||||||
\(318\) | 0.223030 | + | 1.26487i | 0.0125069 | + | 0.0709301i | ||||
\(319\) | 35.3162 | + | 18.7779i | 1.97733 | + | 1.05136i | ||||
\(320\) | −0.115332 | + | 14.7632i | −0.00644726 | + | 0.825287i | ||||
\(321\) | −15.9920 | − | 9.99289i | −0.892585 | − | 0.557749i | ||||
\(322\) | 1.22526 | + | 3.77095i | 0.0682809 | + | 0.210147i | ||||
\(323\) | −4.44566 | + | 1.80461i | −0.247363 | + | 0.100411i | ||||
\(324\) | 2.70714 | 0.150396 | ||||||||
\(325\) | −13.1589 | + | 1.64015i | −0.729926 | + | 0.0909794i | ||||
\(326\) | −20.0149 | − | 7.28483i | −1.10852 | − | 0.403469i | ||||
\(327\) | 7.74989 | − | 7.48399i | 0.428570 | − | 0.413865i | ||||
\(328\) | 24.7026 | − | 13.1346i | 1.36397 | − | 0.725237i | ||||
\(329\) | −13.8667 | − | 17.7486i | −0.764497 | − | 0.978511i | ||||
\(330\) | 6.64184 | − | 12.2595i | 0.365621 | − | 0.674861i | ||||
\(331\) | 27.4511 | − | 5.83491i | 1.50885 | − | 0.320716i | 0.622089 | − | 0.782947i | \(-0.286284\pi\) |
0.886760 | + | 0.462231i | \(0.152951\pi\) | |||||||
\(332\) | −5.09174 | − | 4.27248i | −0.279446 | − | 0.234483i | ||||
\(333\) | 6.91595 | − | 4.32157i | 0.378992 | − | 0.236820i | ||||
\(334\) | 12.2219 | + | 5.44155i | 0.668754 | + | 0.297748i | ||||
\(335\) | −1.53304 | − | 11.5629i | −0.0837589 | − | 0.631746i | ||||
\(336\) | 3.24671 | + | 0.930979i | 0.177122 | + | 0.0507890i | ||||
\(337\) | −10.4329 | − | 10.0749i | −0.568317 | − | 0.548817i | 0.354003 | − | 0.935244i | \(-0.384820\pi\) |
−0.922320 | + | 0.386427i | \(0.873709\pi\) | |||||||
\(338\) | 2.54395 | + | 5.21588i | 0.138373 | + | 0.283706i | ||||
\(339\) | 7.58814 | + | 11.2499i | 0.412131 | + | 0.611010i | ||||
\(340\) | −2.58171 | + | 0.250973i | −0.140013 | + | 0.0136109i | ||||
\(341\) | 33.4973 | − | 24.3372i | 1.81398 | − | 1.31794i | ||||
\(342\) | −0.0100082 | − | 6.13252i | −0.000541180 | − | 0.331609i | ||||
\(343\) | 6.87036 | 0.370964 | ||||||||
\(344\) | −7.28904 | − | 18.0410i | −0.392999 | − | 0.972706i | ||||
\(345\) | −3.12463 | + | 0.988334i | −0.168224 | + | 0.0532101i | ||||
\(346\) | 19.7217 | − | 2.77170i | 1.06024 | − | 0.149007i | ||||
\(347\) | −22.1122 | + | 11.7573i | −1.18704 | + | 0.631163i | −0.941102 | − | 0.338121i | \(-0.890209\pi\) |
−0.245942 | + | 0.969284i | \(0.579097\pi\) | |||||||
\(348\) | −9.81997 | − | 2.81583i | −0.526406 | − | 0.150944i | ||||
\(349\) | 15.2284 | − | 26.3764i | 0.815158 | − | 1.41189i | −0.0940566 | − | 0.995567i | \(-0.529983\pi\) |
0.909214 | − | 0.416328i | \(-0.136683\pi\) | |||||||
\(350\) | −16.2778 | + | 4.39357i | −0.870087 | + | 0.234846i | ||||
\(351\) | −11.2598 | − | 9.44810i | −0.601004 | − | 0.504302i | ||||
\(352\) | −6.44592 | − | 25.8532i | −0.343568 | − | 1.37798i | ||||
\(353\) | −0.348232 | + | 0.386751i | −0.0185345 | + | 0.0205847i | −0.752341 | − | 0.658774i | \(-0.771075\pi\) |
0.733806 | + | 0.679359i | \(0.237742\pi\) | |||||||
\(354\) | 8.07183 | + | 1.71572i | 0.429013 | + | 0.0911895i | ||||
\(355\) | 0.319304 | + | 5.14336i | 0.0169469 | + | 0.272981i | ||||
\(356\) | 4.65014 | + | 0.653534i | 0.246457 | + | 0.0346372i | ||||
\(357\) | −0.825925 | + | 4.68406i | −0.0437126 | + | 0.247907i | ||||
\(358\) | −5.65016 | + | 7.23188i | −0.298620 | + | 0.382217i | ||||
\(359\) | −3.52271 | + | 14.1288i | −0.185921 | + | 0.745690i | 0.802841 | + | 0.596193i | \(0.203321\pi\) |
−0.988762 | + | 0.149496i | \(0.952235\pi\) | |||||||
\(360\) | 2.72017 | − | 9.21408i | 0.143366 | − | 0.485625i | ||||
\(361\) | −18.9999 | + | 0.0620152i | −0.999995 | + | 0.00326396i | ||||
\(362\) | −1.04252 | + | 0.757433i | −0.0547935 | + | 0.0398098i | ||||
\(363\) | −4.65924 | + | 18.6872i | −0.244547 | + | 0.980824i | ||||
\(364\) | 5.41831 | + | 8.03297i | 0.283997 | + | 0.421042i | ||||
\(365\) | −15.2411 | + | 2.56483i | −0.797758 | + | 0.134249i | ||||
\(366\) | −4.25477 | − | 4.10879i | −0.222401 | − | 0.214770i | ||||
\(367\) | −0.155394 | − | 4.44989i | −0.00811148 | − | 0.232282i | −0.996675 | − | 0.0814782i | \(-0.974036\pi\) |
0.988564 | − | 0.150804i | \(-0.0481863\pi\) | |||||||
\(368\) | 0.459546 | − | 0.795958i | 0.0239555 | − | 0.0414922i | ||||
\(369\) | −13.3251 | + | 2.83234i | −0.693678 | + | 0.147446i | ||||
\(370\) | 3.28803 | + | 11.8143i | 0.170937 | + | 0.614196i | ||||
\(371\) | −1.37575 | + | 3.40511i | −0.0714255 | + | 0.176784i | ||||
\(372\) | −7.07609 | + | 7.85880i | −0.366878 | + | 0.407460i | ||||
\(373\) | −13.2416 | + | 5.89556i | −0.685626 | + | 0.305261i | −0.719826 | − | 0.694154i | \(-0.755778\pi\) |
0.0341996 | + | 0.999415i | \(0.489112\pi\) | |||||||
\(374\) | −5.17449 | + | 1.88336i | −0.267567 | + | 0.0973863i | ||||
\(375\) | −3.52620 | − | 13.4821i | −0.182092 | − | 0.696212i | ||||
\(376\) | −3.35127 | + | 19.0060i | −0.172828 | + | 0.980158i | ||||
\(377\) | 11.5338 | + | 17.0996i | 0.594023 | + | 0.880675i | ||||
\(378\) | −15.8488 | − | 9.90342i | −0.815173 | − | 0.509377i | ||||
\(379\) | 3.96395 | + | 12.1998i | 0.203614 | + | 0.626661i | 0.999767 | + | 0.0215655i | \(0.00686503\pi\) |
−0.796153 | + | 0.605095i | \(0.793135\pi\) | |||||||
\(380\) | −9.85619 | − | 2.89225i | −0.505612 | − | 0.148369i | ||||
\(381\) | 4.18880 | − | 12.8918i | 0.214599 | − | 0.660468i | ||||
\(382\) | 14.6984 | − | 12.3334i | 0.752036 | − | 0.631033i | ||||
\(383\) | 13.7555 | − | 17.6062i | 0.702872 | − | 0.899636i | −0.295576 | − | 0.955319i | \(-0.595512\pi\) |
0.998448 | + | 0.0556836i | \(0.0177338\pi\) | |||||||
\(384\) | 2.15233 | + | 4.41292i | 0.109835 | + | 0.225196i | ||||
\(385\) | 34.6818 | − | 19.6639i | 1.76755 | − | 1.00217i | ||||
\(386\) | 2.57120 | + | 0.737279i | 0.130870 | + | 0.0375265i | ||||
\(387\) | 0.990350 | + | 9.42255i | 0.0503423 | + | 0.478975i | ||||
\(388\) | −12.5528 | − | 5.58888i | −0.637274 | − | 0.283733i | ||||
\(389\) | 5.33648 | + | 21.4034i | 0.270570 | + | 1.08520i | 0.939686 | + | 0.342039i | \(0.111118\pi\) |
−0.669116 | + | 0.743158i | \(0.733327\pi\) | |||||||
\(390\) | 5.99204 | − | 3.97393i | 0.303419 | − | 0.201228i | ||||
\(391\) | 1.18238 | + | 0.526431i | 0.0597957 | + | 0.0266228i | ||||
\(392\) | 9.97437 | + | 11.0777i | 0.503782 | + | 0.559506i | ||||
\(393\) | 11.4510 | − | 4.16781i | 0.577624 | − | 0.210238i | ||||
\(394\) | −11.0129 | − | 1.54777i | −0.554823 | − | 0.0779753i | ||||
\(395\) | 8.44915 | + | 4.20295i | 0.425123 | + | 0.211473i | ||||
\(396\) | −0.273599 | + | 7.83484i | −0.0137489 | + | 0.393716i | ||||
\(397\) | 3.34822 | + | 2.09220i | 0.168043 | + | 0.105005i | 0.611333 | − | 0.791373i | \(-0.290633\pi\) |
−0.443291 | + | 0.896378i | \(0.646189\pi\) | |||||||
\(398\) | 9.36093 | + | 6.80111i | 0.469221 | + | 0.340909i | ||||
\(399\) | −9.95499 | + | 15.9893i | −0.498373 | + | 0.800467i | ||||
\(400\) | 3.28161 | + | 2.12258i | 0.164081 | + | 0.106129i | ||||
\(401\) | −15.5637 | + | 13.0595i | −0.777217 | + | 0.652162i | −0.942546 | − | 0.334076i | \(-0.891576\pi\) |
0.165329 | + | 0.986238i | \(0.447131\pi\) | |||||||
\(402\) | 3.53650 | + | 5.24307i | 0.176384 | + | 0.261501i | ||||
\(403\) | 21.1436 | − | 2.97154i | 1.05324 | − | 0.148023i | ||||
\(404\) | 2.37894 | − | 1.26490i | 0.118356 | − | 0.0629313i | ||||
\(405\) | 3.08179 | − | 4.84722i | 0.153136 | − | 0.240860i | ||||
\(406\) | 17.5478 | + | 19.4888i | 0.870881 | + | 0.967211i | ||||
\(407\) | −14.4991 | − | 25.1131i | −0.718693 | − | 1.24481i | ||||
\(408\) | 3.45619 | − | 2.15967i | 0.171107 | − | 0.106920i | ||||
\(409\) | −32.4014 | − | 2.26573i | −1.60215 | − | 0.112033i | −0.759503 | − | 0.650504i | \(-0.774558\pi\) |
−0.842644 | + | 0.538471i | \(0.819002\pi\) | |||||||
\(410\) | 1.58858 | − | 20.4236i | 0.0784544 | − | 1.00865i | ||||
\(411\) | 12.2119 | − | 5.43710i | 0.602370 | − | 0.268192i | ||||
\(412\) | −2.10485 | + | 3.12057i | −0.103699 | + | 0.153740i | ||||
\(413\) | 16.9736 | + | 16.3912i | 0.835216 | + | 0.806559i | ||||
\(414\) | −1.19000 | + | 1.14917i | −0.0584851 | + | 0.0564784i | ||||
\(415\) | −13.4464 | + | 4.25317i | −0.660060 | + | 0.208780i | ||||
\(416\) | 3.32398 | − | 13.3317i | 0.162971 | − | 0.653643i | ||||
\(417\) | −6.95593 | + | 21.4082i | −0.340634 | + | 1.04836i | ||||
\(418\) | −21.7941 | − | 0.725457i | −1.06598 | − | 0.0354832i | ||||
\(419\) | −3.21043 | + | 9.88068i | −0.156840 | + | 0.482703i | −0.998343 | − | 0.0575497i | \(-0.981671\pi\) |
0.841503 | + | 0.540252i | \(0.181671\pi\) | |||||||
\(420\) | −7.62016 | + | 6.75418i | −0.371826 | + | 0.329570i | ||||
\(421\) | −0.351610 | + | 10.0688i | −0.0171364 | + | 0.490722i | 0.960235 | + | 0.279193i | \(0.0900668\pi\) |
−0.977372 | + | 0.211530i | \(0.932155\pi\) | |||||||
\(422\) | 3.60529 | − | 0.506690i | 0.175503 | − | 0.0246653i | ||||
\(423\) | 4.11946 | − | 8.44614i | 0.200295 | − | 0.410665i | ||||
\(424\) | 2.95704 | − | 1.07627i | 0.143607 | − | 0.0522685i | ||||
\(425\) | −2.48963 | + | 4.90834i | −0.120765 | + | 0.238090i | ||||
\(426\) | −1.39706 | − | 2.41978i | −0.0676878 | − | 0.117239i | ||||
\(427\) | −4.09156 | − | 16.4104i | −0.198005 | − | 0.794153i | ||||
\(428\) | −5.97269 | + | 14.7829i | −0.288701 | + | 0.714560i | ||||
\(429\) | −11.3764 | + | 12.6348i | −0.549258 | + | 0.610013i | ||||
\(430\) | −14.0110 | − | 2.58354i | −0.675672 | − | 0.124589i | ||||
\(431\) | 0.971983 | + | 27.8340i | 0.0468188 | + | 1.34071i | 0.764627 | + | 0.644473i | \(0.222923\pi\) |
−0.717808 | + | 0.696241i | \(0.754854\pi\) | |||||||
\(432\) | 0.752246 | + | 4.26620i | 0.0361924 | + | 0.205258i | ||||
\(433\) | −0.341577 | − | 0.181620i | −0.0164152 | − | 0.00872809i | 0.461244 | − | 0.887273i | \(-0.347403\pi\) |
−0.477659 | + | 0.878545i | \(0.658514\pi\) | |||||||
\(434\) | 26.0955 | − | 7.48278i | 1.25263 | − | 0.359185i | ||||
\(435\) | −16.2209 | + | 14.3775i | −0.777731 | + | 0.689347i | ||||
\(436\) | −7.36941 | − | 5.35419i | −0.352931 | − | 0.256419i | ||||
\(437\) | 3.56639 | + | 3.68107i | 0.170604 | + | 0.176089i | ||||
\(438\) | 6.77957 | − | 4.92564i | 0.323940 | − | 0.235356i | ||||
\(439\) | −21.6653 | + | 1.51498i | −1.03403 | + | 0.0723063i | −0.576671 | − | 0.816977i | \(-0.695648\pi\) |
−0.457357 | + | 0.889283i | \(0.651204\pi\) | |||||||
\(440\) | −32.4060 | − | 10.8100i | −1.54490 | − | 0.515344i | ||||
\(441\) | −3.18182 | − | 6.52370i | −0.151515 | − | 0.310653i | ||||
\(442\) | −2.81195 | − | 0.395194i | −0.133751 | − | 0.0187975i | ||||
\(443\) | 6.00921 | − | 2.18718i | 0.285506 | − | 0.103916i | −0.195297 | − | 0.980744i | \(-0.562567\pi\) |
0.480804 | + | 0.876828i | \(0.340345\pi\) | |||||||
\(444\) | 4.95577 | + | 5.50394i | 0.235191 | + | 0.261206i | ||||
\(445\) | 6.46387 | − | 7.58225i | 0.306417 | − | 0.359433i | ||||
\(446\) | −2.00117 | + | 4.95306i | −0.0947580 | + | 0.234534i | ||||
\(447\) | −11.1946 | + | 27.7075i | −0.529485 | + | 1.31052i | ||||
\(448\) | 2.39256 | − | 22.7637i | 0.113038 | − | 1.07548i | ||||
\(449\) | −14.3302 | + | 24.8206i | −0.676282 | + | 1.17136i | 0.299810 | + | 0.953999i | \(0.403077\pi\) |
−0.976092 | + | 0.217356i | \(0.930257\pi\) | |||||||
\(450\) | −4.62475 | − | 5.30055i | −0.218013 | − | 0.249870i | ||||
\(451\) | 8.41155 | + | 47.7043i | 0.396084 | + | 2.24631i | ||||
\(452\) | 8.25318 | − | 7.97000i | 0.388197 | − | 0.374877i | ||||
\(453\) | −0.168573 | + | 4.82729i | −0.00792023 | + | 0.226806i | ||||
\(454\) | 13.0825 | + | 8.17485i | 0.613992 | + | 0.383665i | ||||
\(455\) | 20.5515 | − | 0.556971i | 0.963469 | − | 0.0261112i | ||||
\(456\) | 15.8891 | − | 2.82843i | 0.744077 | − | 0.132453i | ||||
\(457\) | −13.6106 | −0.636676 | −0.318338 | − | 0.947977i | \(-0.603125\pi\) | ||||
−0.318338 | + | 0.947977i | \(0.603125\pi\) | |||||||
\(458\) | −7.00846 | − | 17.3465i | −0.327484 | − | 0.810550i | ||||
\(459\) | −5.86408 | + | 1.68150i | −0.273712 | + | 0.0784857i | ||||
\(460\) | 1.28170 | + | 2.45663i | 0.0597594 | + | 0.114541i | ||||
\(461\) | 14.8796 | − | 30.5078i | 0.693014 | − | 1.42089i | −0.204038 | − | 0.978963i | \(-0.565407\pi\) |
0.897052 | − | 0.441926i | \(-0.145704\pi\) | |||||||
\(462\) | −12.0880 | + | 17.9212i | −0.562384 | + | 0.833769i | ||||
\(463\) | −1.03319 | − | 9.83010i | −0.0480162 | − | 0.456843i | −0.991943 | − | 0.126688i | \(-0.959565\pi\) |
0.943926 | − | 0.330156i | \(-0.107101\pi\) | |||||||
\(464\) | 0.635418 | − | 6.04560i | 0.0294985 | − | 0.280660i | ||||
\(465\) | 6.01606 | + | 21.6164i | 0.278988 | + | 1.00244i | ||||
\(466\) | 19.1391 | + | 1.33833i | 0.886601 | + | 0.0619972i | ||||
\(467\) | 6.89680 | − | 1.46596i | 0.319146 | − | 0.0678365i | −0.0455534 | − | 0.998962i | \(-0.514505\pi\) |
0.364699 | + | 0.931125i | \(0.381172\pi\) | |||||||
\(468\) | −2.02134 | + | 3.50106i | −0.0934363 | + | 0.161836i | ||||
\(469\) | 0.631107 | + | 18.0725i | 0.0291418 | + | 0.834512i | ||||
\(470\) | 10.4272 | + | 9.53726i | 0.480972 | + | 0.439921i | ||||
\(471\) | 7.47535 | − | 1.05059i | 0.344446 | − | 0.0484087i | ||||
\(472\) | 0.705612 | − | 20.2061i | 0.0324784 | − | 0.930060i | ||||
\(473\) | 33.6073 | − | 2.35005i | 1.54527 | − | 0.108056i | ||||
\(474\) | −5.11667 | −0.235016 | ||||||||
\(475\) | −16.3989 | + | 14.3553i | −0.752434 | + | 0.658667i | ||||
\(476\) | 4.02146 | 0.184323 | ||||||||
\(477\) | −1.52852 | + | 0.106885i | −0.0699862 | + | 0.00489391i | ||||
\(478\) | −0.927154 | + | 26.5502i | −0.0424071 | + | 1.21438i | ||||
\(479\) | −14.7132 | + | 2.06780i | −0.672263 | + | 0.0944803i | −0.467042 | − | 0.884235i | \(-0.654680\pi\) |
−0.205221 | + | 0.978716i | \(0.565791\pi\) | |||||||
\(480\) | 14.3478 | + | 1.62143i | 0.654883 | + | 0.0740078i | ||||
\(481\) | −0.521871 | − | 14.9444i | −0.0237953 | − | 0.681407i | ||||
\(482\) | 5.63239 | − | 9.75558i | 0.256548 | − | 0.444355i | ||||
\(483\) | 4.96985 | − | 1.05637i | 0.226136 | − | 0.0480667i | ||||
\(484\) | 16.2441 | + | 1.13589i | 0.738366 | + | 0.0516316i | ||||
\(485\) | −24.2972 | + | 16.1139i | −1.10328 | + | 0.731697i | ||||
\(486\) | 1.36494 | − | 12.9866i | 0.0619150 | − | 0.589082i | ||||
\(487\) | 2.54993 | + | 24.2610i | 0.115549 | + | 1.09937i | 0.886580 | + | 0.462574i | \(0.153074\pi\) |
−0.771032 | + | 0.636797i | \(0.780259\pi\) | |||||||
\(488\) | −8.10369 | + | 12.0142i | −0.366837 | + | 0.543858i | ||||
\(489\) | −11.9647 | + | 24.5313i | −0.541064 | + | 1.10935i | ||||
\(490\) | 10.7633 | − | 1.81128i | 0.486237 | − | 0.0818255i | ||||
\(491\) | 0.0909826 | − | 0.0260888i | 0.00410599 | − | 0.00117737i | −0.273584 | − | 0.961848i | \(-0.588209\pi\) |
0.277690 | + | 0.960671i | \(0.410431\pi\) | |||||||
\(492\) | −4.63459 | − | 11.4710i | −0.208943 | − | 0.517153i | ||||
\(493\) | 8.56040 | 0.385541 | ||||||||
\(494\) | −9.74746 | − | 5.60651i | −0.438559 | − | 0.252249i | ||||
\(495\) | 13.7171 | + | 9.40904i | 0.616538 | + | 0.422905i | ||||
\(496\) | −5.33654 | − | 3.33464i | −0.239618 | − | 0.149730i | ||||
\(497\) | 0.278828 | − | 7.98459i | 0.0125071 | − | 0.358158i | ||||
\(498\) | 5.50060 | − | 5.31187i | 0.246488 | − | 0.238031i | ||||
\(499\) | 4.90413 | + | 27.8127i | 0.219539 | + | 1.24507i | 0.872854 | + | 0.487981i | \(0.162266\pi\) |
−0.653316 | + | 0.757086i | \(0.726622\pi\) | |||||||
\(500\) | −10.7082 | + | 4.91554i | −0.478886 | + | 0.219830i | ||||
\(501\) | 8.57182 | − | 14.8468i | 0.382961 | − | 0.663307i | ||||
\(502\) | 2.19059 | − | 20.8421i | 0.0977710 | − | 0.930229i | ||||
\(503\) | 10.2450 | − | 25.3572i | 0.456801 | − | 1.13062i | −0.506509 | − | 0.862235i | \(-0.669064\pi\) |
0.963311 | − | 0.268389i | \(-0.0864912\pi\) | |||||||
\(504\) | −5.57966 | + | 13.8101i | −0.248538 | + | 0.615153i | ||||
\(505\) | 0.443318 | − | 5.69953i | 0.0197274 | − | 0.253626i | ||||
\(506\) | 3.93605 | + | 4.37143i | 0.174979 | + | 0.194334i | ||||
\(507\) | 6.98790 | − | 2.54339i | 0.310343 | − | 0.112956i | ||||
\(508\) | −11.3494 | − | 1.59506i | −0.503549 | − | 0.0707692i | ||||
\(509\) | 3.94420 | + | 8.08681i | 0.174824 | + | 0.358442i | 0.968156 | − | 0.250347i | \(-0.0805447\pi\) |
−0.793333 | + | 0.608789i | \(0.791656\pi\) | |||||||
\(510\) | 0.0233115 | − | 2.98401i | 0.00103225 | − | 0.132134i | ||||
\(511\) | 23.9033 | − | 1.67148i | 1.05742 | − | 0.0739419i | ||||
\(512\) | −7.03293 | + | 5.10973i | −0.310815 | + | 0.225820i | ||||
\(513\) | −24.0294 | − | 2.48595i | −1.06093 | − | 0.109758i | ||||
\(514\) | 10.8151 | + | 7.85766i | 0.477035 | + | 0.346586i | ||||
\(515\) | 3.19134 | + | 7.32126i | 0.140627 | + | 0.322613i | ||||
\(516\) | −8.27113 | + | 2.37171i | −0.364116 | + | 0.104409i | ||||
\(517\) | −29.5034 | − | 15.6872i | −1.29756 | − | 0.689923i | ||||
\(518\) | −3.30151 | − | 18.7238i | −0.145060 | − | 0.822676i | ||||
\(519\) | −0.890642 | − | 25.5047i | −0.0390949 | − | 1.11953i | ||||
\(520\) | −12.1378 | − | 12.7672i | −0.532278 | − | 0.559878i | ||||
\(521\) | 8.71746 | − | 9.68172i | 0.381919 | − | 0.424164i | −0.521280 | − | 0.853385i | \(-0.674545\pi\) |
0.903199 | + | 0.429222i | \(0.141212\pi\) | |||||||
\(522\) | −4.09876 | + | 10.1448i | −0.179398 | + | 0.444025i | ||||
\(523\) | −2.72732 | − | 10.9387i | −0.119257 | − | 0.478315i | −0.999989 | − | 0.00469914i | \(-0.998504\pi\) |
0.880732 | − | 0.473615i | \(-0.157051\pi\) | |||||||
\(524\) | −5.15157 | − | 8.92277i | −0.225047 | − | 0.389793i | ||||
\(525\) | 3.41885 | + | 21.3331i | 0.149211 | + | 0.931053i | ||||
\(526\) | −8.43771 | + | 3.07107i | −0.367902 | + | 0.133905i | ||||
\(527\) | 3.88463 | − | 7.96468i | 0.169217 | − | 0.346947i | ||||
\(528\) | 4.96203 | − | 0.697368i | 0.215945 | − | 0.0303490i | ||||
\(529\) | −0.754436 | + | 21.6042i | −0.0328016 | + | 0.939314i | ||||
\(530\) | 0.496647 | − | 2.24997i | 0.0215730 | − | 0.0977324i | ||||
\(531\) | −3.04220 | + | 9.36294i | −0.132020 | + | 0.406317i | ||||
\(532\) | 14.7752 | + | 5.94152i | 0.640584 | + | 0.257598i | ||||
\(533\) | −7.71901 | + | 23.7567i | −0.334347 | + | 1.02902i | ||||
\(534\) | −1.30693 | + | 5.24180i | −0.0565563 | + | 0.226835i | ||||
\(535\) | 19.6701 | + | 27.5232i | 0.850412 | + | 1.18993i | ||||
\(536\) | 11.1461 | − | 10.7637i | 0.481440 | − | 0.464921i | ||||
\(537\) | 8.45954 | + | 8.16928i | 0.365056 | + | 0.352531i | ||||
\(538\) | 9.44603 | − | 14.0043i | 0.407247 | − | 0.603769i | ||||
\(539\) | −23.5778 | + | 10.4975i | −1.01557 | + | 0.452160i | ||||
\(540\) | −12.0706 | − | 4.98686i | −0.519434 | − | 0.214600i | ||||
\(541\) | −21.5744 | − | 1.50863i | −0.927557 | − | 0.0648611i | −0.402019 | − | 0.915631i | \(-0.631691\pi\) |
−0.525538 | + | 0.850770i | \(0.676136\pi\) | |||||||
\(542\) | −7.30703 | + | 4.56594i | −0.313864 | + | 0.196124i | ||||
\(543\) | 0.825638 | + | 1.43005i | 0.0354315 | + | 0.0613692i | ||||
\(544\) | −3.81571 | − | 4.23778i | −0.163597 | − | 0.181693i | ||||
\(545\) | −17.9762 | + | 7.10000i | −0.770015 | + | 0.304131i | ||||
\(546\) | −9.84240 | + | 5.23329i | −0.421216 | + | 0.223964i | ||||
\(547\) | −33.8974 | + | 4.76397i | −1.44935 | + | 0.203693i | −0.819524 | − | 0.573044i | \(-0.805762\pi\) |
−0.629825 | + | 0.776737i | \(0.716873\pi\) | |||||||
\(548\) | −6.32017 | − | 9.37004i | −0.269984 | − | 0.400268i | ||||
\(549\) | 5.40548 | − | 4.53574i | 0.230700 | − | 0.193581i | ||||
\(550\) | −19.4102 | + | 15.7769i | −0.827654 | + | 0.672731i | ||||
\(551\) | 31.4516 | + | 12.6476i | 1.33988 | + | 0.538805i | ||||
\(552\) | −3.52211 | − | 2.55896i | −0.149911 | − | 0.108917i | ||||
\(553\) | −12.4074 | − | 7.75298i | −0.527615 | − | 0.329690i | ||||
\(554\) | 0.104633 | − | 2.99630i | 0.00444544 | − | 0.127301i | ||||
\(555\) | 15.4966 | − | 2.60782i | 0.657795 | − | 0.110696i | ||||
\(556\) | 18.8469 | + | 2.64875i | 0.799285 | + | 0.112332i | ||||
\(557\) | −1.61339 | + | 0.587227i | −0.0683617 | + | 0.0248816i | −0.375975 | − | 0.926630i | \(-0.622692\pi\) |
0.307613 | + | 0.951512i | \(0.400470\pi\) | |||||||
\(558\) | 7.57883 | + | 8.41714i | 0.320837 | + | 0.356326i | ||||
\(559\) | 15.8707 | + | 7.06610i | 0.671260 | + | 0.298864i | ||||
\(560\) | −4.74543 | − | 3.76761i | −0.200531 | − | 0.159210i | ||||
\(561\) | 1.70707 | + | 6.84668i | 0.0720725 | + | 0.289067i | ||||
\(562\) | 2.46659 | + | 1.09820i | 0.104047 | + | 0.0463247i | ||||
\(563\) | −0.500092 | − | 4.75806i | −0.0210764 | − | 0.200528i | 0.978917 | − | 0.204260i | \(-0.0654788\pi\) |
−0.999993 | + | 0.00373178i | \(0.998812\pi\) | |||||||
\(564\) | 8.20367 | + | 2.35237i | 0.345437 | + | 0.0990525i | ||||
\(565\) | −4.87519 | − | 23.8506i | −0.205101 | − | 1.00340i | ||||
\(566\) | −11.3472 | − | 23.2653i | −0.476960 | − | 0.977913i | ||||
\(567\) | −5.48262 | + | 7.01743i | −0.230248 | + | 0.294704i | ||||
\(568\) | −5.24419 | + | 4.40039i | −0.220041 | + | 0.184636i | ||||
\(569\) | 3.68570 | − | 11.3434i | 0.154513 | − | 0.475541i | −0.843599 | − | 0.536974i | \(-0.819567\pi\) |
0.998111 | + | 0.0614336i | \(0.0195672\pi\) | |||||||
\(570\) | 4.49438 | − | 10.9290i | 0.188249 | − | 0.457766i | ||||
\(571\) | −9.93584 | − | 30.5794i | −0.415802 | − | 1.27971i | −0.911532 | − | 0.411230i | \(-0.865099\pi\) |
0.495730 | − | 0.868477i | \(-0.334901\pi\) | |||||||
\(572\) | 12.1907 | + | 7.61758i | 0.509718 | + | 0.318507i | ||||
\(573\) | −13.7490 | − | 20.3837i | −0.574373 | − | 0.851543i | ||||
\(574\) | −5.51503 | + | 31.2773i | −0.230193 | + | 1.30549i | ||||
\(575\) | 5.85776 | + | 0.501691i | 0.244285 | + | 0.0209220i | ||||
\(576\) | 8.97387 | − | 3.26622i | 0.373911 | − | 0.136093i | ||||
\(577\) | 31.1853 | − | 13.8846i | 1.29826 | − | 0.578024i | 0.362938 | − | 0.931813i | \(-0.381774\pi\) |
0.935325 | + | 0.353789i | \(0.115107\pi\) | |||||||
\(578\) | 10.2760 | − | 11.4127i | 0.427427 | − | 0.474706i | ||||
\(579\) | 1.28399 | − | 3.17800i | 0.0533609 | − | 0.132073i | ||||
\(580\) | 14.3530 | + | 11.3955i | 0.595976 | + | 0.473172i | ||||
\(581\) | 21.3871 | − | 4.54598i | 0.887288 | − | 0.188599i | ||||
\(582\) | 7.90398 | − | 13.6901i | 0.327630 | − | 0.567472i | ||||
\(583\) | 0.190147 | + | 5.44509i | 0.00787507 | + | 0.225513i | ||||
\(584\) | −14.7692 | − | 14.2625i | −0.611154 | − | 0.590185i | ||||
\(585\) | 3.96768 | + | 7.60486i | 0.164044 | + | 0.314422i | ||||
\(586\) | −0.0757573 | − | 0.112315i | −0.00312951 | − | 0.00463968i | ||||
\(587\) | −4.15391 | + | 16.6604i | −0.171450 | + | 0.687650i | 0.821611 | + | 0.570049i | \(0.193076\pi\) |
−0.993061 | + | 0.117601i | \(0.962480\pi\) | |||||||
\(588\) | 5.33286 | − | 3.87455i | 0.219924 | − | 0.159784i | ||||
\(589\) | 26.0399 | − | 23.5235i | 1.07295 | − | 0.969268i | ||||
\(590\) | −12.2081 | − | 8.37397i | −0.502600 | − | 0.344751i | ||||
\(591\) | −3.44761 | + | 13.8276i | −0.141816 | + | 0.568792i | ||||
\(592\) | −2.71331 | + | 3.47287i | −0.111516 | + | 0.142734i | ||||
\(593\) | −5.65771 | + | 32.0865i | −0.232334 | + | 1.31763i | 0.615821 | + | 0.787886i | \(0.288825\pi\) |
−0.848155 | + | 0.529748i | \(0.822286\pi\) | |||||||
\(594\) | −27.4557 | − | 3.85865i | −1.12652 | − | 0.158322i | ||||
\(595\) | 4.57802 | − | 7.20057i | 0.187680 | − | 0.295195i | ||||
\(596\) | 24.7144 | + | 5.25320i | 1.01234 | + | 0.215180i | ||||
\(597\) | 9.92124 | − | 11.0187i | 0.406049 | − | 0.450963i | ||||
\(598\) | 0.733836 | + | 2.94325i | 0.0300088 | + | 0.120359i | ||||
\(599\) | 29.0442 | + | 24.3709i | 1.18671 | + | 0.995769i | 0.999911 | + | 0.0133717i | \(0.00425647\pi\) |
0.186801 | + | 0.982398i | \(0.440188\pi\) | |||||||
\(600\) | 11.6240 | − | 14.4083i | 0.474548 | − | 0.588215i | ||||
\(601\) | −23.9049 | + | 41.4046i | −0.975103 | + | 1.68893i | −0.295506 | + | 0.955341i | \(0.595488\pi\) |
−0.679596 | + | 0.733586i | \(0.737845\pi\) | |||||||
\(602\) | 21.2328 | + | 6.08840i | 0.865383 | + | 0.248145i | ||||
\(603\) | −6.66170 | + | 3.54209i | −0.271285 | + | 0.144245i | ||||
\(604\) | 4.04421 | − | 0.568377i | 0.164557 | − | 0.0231269i | ||||
\(605\) | 20.5260 | − | 27.7925i | 0.834502 | − | 1.12992i | ||||
\(606\) | 1.16115 | + | 2.87394i | 0.0471684 | + | 0.116746i | ||||
\(607\) | −46.5402 | −1.88901 | −0.944505 | − | 0.328498i | \(-0.893458\pi\) | ||||
−0.944505 | + | 0.328498i | \(0.893458\pi\) | |||||||
\(608\) | −7.75810 | − | 21.2075i | −0.314633 | − | 0.860076i | ||||
\(609\) | 27.1870 | − | 19.7525i | 1.10167 | − | 0.800414i | ||||
\(610\) | 4.24003 | + | 9.72706i | 0.171674 | + | 0.393837i | ||||
\(611\) | −9.63545 | − | 14.2851i | −0.389809 | − | 0.577915i | ||||
\(612\) | 0.735516 | + | 1.50803i | 0.0297315 | + | 0.0609586i | ||||
\(613\) | −33.5058 | − | 32.3561i | −1.35329 | − | 1.30685i | −0.912406 | − | 0.409286i | \(-0.865778\pi\) |
−0.440879 | − | 0.897566i | \(-0.645333\pi\) | |||||||
\(614\) | 22.9406 | + | 6.57810i | 0.925806 | + | 0.265471i | ||||
\(615\) | −25.8152 | − | 4.76015i | −1.04097 | − | 0.191948i | ||||
\(616\) | 48.3840 | + | 21.5419i | 1.94944 | + | 0.867949i | ||||
\(617\) | −35.2764 | + | 22.0432i | −1.42018 | + | 0.887424i | −0.999801 | − | 0.0199263i | \(-0.993657\pi\) |
−0.420374 | + | 0.907351i | \(0.638101\pi\) | |||||||
\(618\) | −3.31725 | − | 2.78350i | −0.133439 | − | 0.111969i | ||||
\(619\) | −19.4411 | + | 4.13233i | −0.781404 | + | 0.166092i | −0.581308 | − | 0.813684i | \(-0.697459\pi\) |
−0.200096 | + | 0.979776i | \(0.564125\pi\) | |||||||
\(620\) | 17.1157 | − | 8.18301i | 0.687384 | − | 0.328638i | ||||
\(621\) | 4.01207 | + | 5.13522i | 0.160999 | + | 0.206069i | ||||
\(622\) | −27.8054 | + | 14.7844i | −1.11490 | + | 0.592801i | ||||
\(623\) | −11.1118 | + | 10.7305i | −0.445183 | + | 0.429908i | ||||
\(624\) | 2.42810 | + | 0.883755i | 0.0972017 | + | 0.0353785i | ||||
\(625\) | −3.38873 | + | 24.7693i | −0.135549 | + | 0.990771i | ||||
\(626\) | 31.9835 | 1.27832 | ||||||||
\(627\) | −3.84374 | + | 27.6773i | −0.153504 | + | 1.10533i | ||||
\(628\) | −1.97231 | − | 6.07014i | −0.0787036 | − | 0.242225i | ||||
\(629\) | −5.26316 | − | 3.28878i | −0.209856 | − | 0.131132i | ||||
\(630\) | 6.34130 | + | 8.87299i | 0.252643 | + | 0.353509i | ||||
\(631\) | −34.4315 | − | 18.3076i | −1.37070 | − | 0.728813i | −0.389356 | − | 0.921087i | \(-0.627303\pi\) |
−0.981341 | + | 0.192274i | \(0.938414\pi\) | |||||||
\(632\) | 2.17689 | + | 12.3457i | 0.0865919 | + | 0.491087i | ||||
\(633\) | −0.162817 | − | 4.66247i | −0.00647140 | − | 0.185317i | ||||
\(634\) | 0.713664 | + | 6.79006i | 0.0283432 | + | 0.269668i | ||||
\(635\) | −15.7761 | + | 18.5057i | −0.626057 | + | 0.734378i | ||||
\(636\) | −0.336647 | − | 1.35022i | −0.0133489 | − | 0.0535396i | ||||
\(637\) | −13.2766 | − | 0.928391i | −0.526038 | − | 0.0367842i | ||||
\(638\) | 35.5423 | + | 15.8245i | 1.40713 | + | 0.626497i | ||||
\(639\) | 3.04519 | − | 1.35580i | 0.120466 | − | 0.0536348i | ||||
\(640\) | −0.545761 | − | 8.79114i | −0.0215731 | − | 0.347500i | ||||
\(641\) | −24.1368 | − | 23.3086i | −0.953345 | − | 0.920635i | 0.0435754 | − | 0.999050i | \(-0.486125\pi\) |
−0.996921 | + | 0.0784152i | \(0.975014\pi\) | |||||||
\(642\) | −16.1955 | − | 8.61128i | −0.639184 | − | 0.339860i | ||||
\(643\) | −15.3315 | − | 5.58022i | −0.604617 | − | 0.220063i | 0.0215293 | − | 0.999768i | \(-0.493146\pi\) |
−0.626146 | + | 0.779706i | \(0.715369\pi\) | |||||||
\(644\) | −1.60926 | − | 3.98307i | −0.0634139 | − | 0.156955i | ||||
\(645\) | −5.16919 | + | 17.5097i | −0.203537 | + | 0.689443i | ||||
\(646\) | −4.19129 | + | 2.05270i | −0.164904 | + | 0.0807625i | ||||
\(647\) | −10.2385 | − | 31.5109i | −0.402517 | − | 1.23882i | −0.922950 | − | 0.384919i | \(-0.874229\pi\) |
0.520433 | − | 0.853902i | \(-0.325771\pi\) | |||||||
\(648\) | 7.61191 | − | 0.532276i | 0.299024 | − | 0.0209098i | ||||
\(649\) | 32.8951 | + | 11.9728i | 1.29124 | + | 0.469974i | ||||
\(650\) | −12.6572 | + | 2.48434i | −0.496455 | + | 0.0974440i | ||||
\(651\) | −6.04072 | − | 34.2586i | −0.236754 | − | 1.34270i | ||||
\(652\) | 22.1828 | + | 6.36081i | 0.868745 | + | 0.249109i | ||||
\(653\) | −26.3089 | − | 5.59214i | −1.02955 | − | 0.218837i | −0.337984 | − | 0.941152i | \(-0.609745\pi\) |
−0.691565 | + | 0.722315i | \(0.743078\pi\) | |||||||
\(654\) | 7.01213 | − | 7.78775i | 0.274196 | − | 0.304525i | ||||
\(655\) | −21.8411 | − | 0.933587i | −0.853401 | − | 0.0364783i | ||||
\(656\) | 6.24327 | − | 3.90123i | 0.243759 | − | 0.152317i | ||||
\(657\) | 4.99865 | + | 8.65791i | 0.195016 | + | 0.337777i | ||||
\(658\) | −14.6595 | − | 16.2810i | −0.571487 | − | 0.634701i | ||||
\(659\) | 11.6741 | − | 17.3076i | 0.454758 | − | 0.674206i | −0.530028 | − | 0.847980i | \(-0.677818\pi\) |
0.984786 | + | 0.173774i | \(0.0555962\pi\) | |||||||
\(660\) | −6.25200 | + | 13.7521i | −0.243359 | + | 0.535299i | ||||
\(661\) | −9.51701 | + | 9.19047i | −0.370169 | + | 0.357468i | −0.856355 | − | 0.516387i | \(-0.827277\pi\) |
0.486186 | + | 0.873855i | \(0.338388\pi\) | |||||||
\(662\) | 26.2406 | − | 7.52437i | 1.01987 | − | 0.292443i | ||||
\(663\) | −0.880287 | + | 3.53064i | −0.0341875 | + | 0.137119i | ||||
\(664\) | −15.1570 | − | 11.0122i | −0.588205 | − | 0.427356i | ||||
\(665\) | 27.4585 | − | 19.6916i | 1.06479 | − | 0.763609i | ||||
\(666\) | 6.41751 | − | 4.66259i | 0.248673 | − | 0.180672i | ||||
\(667\) | −3.42561 | − | 8.47867i | −0.132640 | − | 0.328296i | ||||
\(668\) | −13.6208 | − | 4.95756i | −0.527004 | − | 0.191814i | ||||
\(669\) | 6.04417 | + | 3.21374i | 0.233681 | + | 0.124250i | ||||
\(670\) | −2.27211 | − | 11.1157i | −0.0877792 | − | 0.429438i | ||||
\(671\) | −15.4476 | − | 19.7720i | −0.596348 | − | 0.763291i | ||||
\(672\) | −21.8967 | − | 4.65430i | −0.844685 | − | 0.179543i | ||||
\(673\) | −4.11130 | + | 39.1164i | −0.158479 | + | 1.50783i | 0.569366 | + | 0.822084i | \(0.307189\pi\) |
−0.727845 | + | 0.685742i | \(0.759478\pi\) | |||||||
\(674\) | −10.8069 | − | 9.06809i | −0.416267 | − | 0.349290i | ||||
\(675\) | −22.6702 | + | 15.9357i | −0.872577 | + | 0.613367i | ||||
\(676\) | −3.14372 | − | 5.44508i | −0.120912 | − | 0.209426i | ||||
\(677\) | 11.8028 | − | 5.25494i | 0.453618 | − | 0.201964i | −0.167193 | − | 0.985924i | \(-0.553470\pi\) |
0.620811 | + | 0.783960i | \(0.286804\pi\) | |||||||
\(678\) | 8.12630 | + | 10.4012i | 0.312089 | + | 0.399455i | ||||
\(679\) | 39.9101 | − | 21.2206i | 1.53161 | − | 0.814370i | ||||
\(680\) | −7.20988 | + | 1.21330i | −0.276486 | + | 0.0465279i | ||||
\(681\) | 12.1704 | − | 15.5774i | 0.466372 | − | 0.596928i | ||||
\(682\) | 30.8520 | − | 25.8879i | 1.18139 | − | 0.991300i | ||||
\(683\) | 9.76055 | − | 30.0399i | 0.373477 | − | 1.14944i | −0.571023 | − | 0.820934i | \(-0.693453\pi\) |
0.944500 | − | 0.328510i | \(-0.106547\pi\) | |||||||
\(684\) | 0.474297 | + | 6.62731i | 0.0181352 | + | 0.253402i | ||||
\(685\) | −23.9723 | + | 0.649678i | −0.915933 | + | 0.0248229i | ||||
\(686\) | 6.66649 | − | 0.466166i | 0.254528 | − | 0.0177983i | ||||
\(687\) | −23.0453 | + | 6.60813i | −0.879233 | + | 0.252116i | ||||
\(688\) | −2.24451 | − | 4.60193i | −0.0855711 | − | 0.175447i | ||||
\(689\) | −1.23164 | + | 2.52524i | −0.0469219 | + | 0.0962042i | ||||
\(690\) | −2.96485 | + | 1.17102i | −0.112870 | + | 0.0445799i | ||||
\(691\) | −0.307732 | − | 2.92788i | −0.0117067 | − | 0.111382i | 0.987108 | − | 0.160055i | \(-0.0511673\pi\) |
−0.998815 | + | 0.0486736i | \(0.984501\pi\) | |||||||
\(692\) | −21.1058 | + | 4.48618i | −0.802322 | + | 0.170539i | ||||
\(693\) | −19.7553 | − | 16.5767i | −0.750443 | − | 0.629697i | ||||
\(694\) | −20.6583 | + | 12.9087i | −0.784178 | + | 0.490009i | ||||
\(695\) | 26.1979 | − | 30.7307i | 0.993743 | − | 1.16568i | ||||
\(696\) | −28.1654 | − | 5.98674i | −1.06761 | − | 0.226927i | ||||
\(697\) | 6.38268 | + | 8.16946i | 0.241761 | + | 0.309440i | ||||
\(698\) | 12.9868 | − | 26.6270i | 0.491559 | − | 1.00785i | ||||
\(699\) | 4.26918 | − | 24.2117i | 0.161475 | − | 0.915771i | ||||
\(700\) | 17.2611 | − | 5.97883i | 0.652410 | − | 0.225979i | ||||
\(701\) | 24.8144 | − | 20.8217i | 0.937226 | − | 0.786426i | −0.0398747 | − | 0.999205i | \(-0.512696\pi\) |
0.977100 | + | 0.212779i | \(0.0682514\pi\) | |||||||
\(702\) | −11.5668 | − | 8.40374i | −0.436559 | − | 0.317179i | ||||
\(703\) | −14.4782 | − | 19.8593i | −0.546056 | − | 0.749008i | ||||
\(704\) | −10.4934 | − | 32.2953i | −0.395484 | − | 1.21717i | ||||
\(705\) | 13.5510 | − | 12.0110i | 0.510361 | − | 0.452362i | ||||
\(706\) | −0.311657 | + | 0.398903i | −0.0117294 | + | 0.0150129i | ||||
\(707\) | −1.53905 | + | 8.72841i | −0.0578821 | + | 0.328266i | ||||
\(708\) | −8.85376 | − | 1.24431i | −0.332744 | − | 0.0467642i | ||||
\(709\) | −0.569812 | + | 0.844782i | −0.0213998 | + | 0.0317264i | −0.839586 | − | 0.543227i | \(-0.817202\pi\) |
0.818186 | + | 0.574954i | \(0.194980\pi\) | |||||||
\(710\) | 0.658816 | + | 4.96908i | 0.0247249 | + | 0.186486i | ||||
\(711\) | 0.638057 | − | 6.07071i | 0.0239290 | − | 0.227669i | ||||
\(712\) | 13.2037 | + | 0.923294i | 0.494830 | + | 0.0346019i | ||||
\(713\) | −9.44315 | − | 0.660329i | −0.353649 | − | 0.0247295i | ||||
\(714\) | −0.483596 | + | 4.60110i | −0.0180981 | + | 0.172192i | ||||
\(715\) | 27.5174 | − | 13.1560i | 1.02909 | − | 0.492007i | ||||
\(716\) | 5.56016 | − | 8.24328i | 0.207793 | − | 0.308066i | ||||
\(717\) | 33.7116 | + | 4.73786i | 1.25898 | + | 0.176938i | ||||
\(718\) | −2.45951 | + | 13.9486i | −0.0917881 | + | 0.520556i | ||||
\(719\) | −0.0798630 | + | 0.102220i | −0.00297839 | + | 0.00381216i | −0.789498 | − | 0.613754i | \(-0.789659\pi\) |
0.786519 | + | 0.617566i | \(0.211881\pi\) | |||||||
\(720\) | 0.544908 | − | 2.46860i | 0.0203075 | − | 0.0919995i | ||||
\(721\) | −3.82629 | − | 11.7761i | −0.142499 | − | 0.438566i | ||||
\(722\) | −18.4319 | + | 1.34935i | −0.685964 | + | 0.0502177i | ||||
\(723\) | −11.6781 | − | 8.48467i | −0.434315 | − | 0.315548i | ||||
\(724\) | 1.06951 | − | 0.897429i | 0.0397482 | − | 0.0333527i | ||||
\(725\) | 36.7434 | − | 12.7270i | 1.36462 | − | 0.472669i | ||||
\(726\) | −3.25303 | + | 18.4488i | −0.120731 | + | 0.684700i | ||||
\(727\) | 17.6100 | − | 36.1058i | 0.653118 | − | 1.33909i | −0.273058 | − | 0.961998i | \(-0.588035\pi\) |
0.926176 | − | 0.377092i | \(-0.123076\pi\) | |||||||
\(728\) | 16.8146 | + | 21.5217i | 0.623191 | + | 0.797648i | ||||
\(729\) | −23.9052 | − | 5.08122i | −0.885380 | − | 0.188193i | ||||
\(730\) | −14.6149 | + | 3.52286i | −0.540920 | + | 0.130387i | ||||
\(731\) | 6.11461 | − | 3.82083i | 0.226157 | − | 0.141319i | ||||
\(732\) | 4.90912 | + | 4.11924i | 0.181446 | + | 0.152251i | ||||
\(733\) | −7.79871 | + | 1.65767i | −0.288052 | + | 0.0612274i | −0.349672 | − | 0.936872i | \(-0.613707\pi\) |
0.0616195 | + | 0.998100i | \(0.480373\pi\) | |||||||
\(734\) | −0.452716 | − | 4.30730i | −0.0167100 | − | 0.158985i | ||||
\(735\) | −0.866614 | − | 13.9595i | −0.0319655 | − | 0.514902i | ||||
\(736\) | −2.67039 | + | 5.47511i | −0.0984319 | + | 0.201815i | ||||
\(737\) | 11.7606 | + | 24.1129i | 0.433208 | + | 0.888209i | ||||
\(738\) | −12.7375 | + | 3.65243i | −0.468875 | + | 0.134448i | ||||
\(739\) | −16.5072 | + | 1.15430i | −0.607227 | + | 0.0424614i | −0.370060 | − | 0.929008i | \(-0.620663\pi\) |
−0.237166 | + | 0.971469i | \(0.576219\pi\) | |||||||
\(740\) | −4.44662 | − | 12.5205i | −0.163461 | − | 0.460261i | ||||
\(741\) | −8.45060 | + | 11.6713i | −0.310440 | + | 0.428754i | ||||
\(742\) | −1.10389 | + | 3.39741i | −0.0405249 | + | 0.124723i | ||||
\(743\) | 23.3459 | − | 19.5895i | 0.856477 | − | 0.718670i | −0.104729 | − | 0.994501i | \(-0.533397\pi\) |
0.961206 | + | 0.275831i | \(0.0889530\pi\) | |||||||
\(744\) | −18.3513 | + | 23.4886i | −0.672792 | + | 0.861134i | ||||
\(745\) | 37.5408 | − | 38.2718i | 1.37539 | − | 1.40217i | ||||
\(746\) | −12.4487 | + | 6.61909i | −0.455779 | + | 0.242342i | ||||
\(747\) | 5.61638 | + | 7.18864i | 0.205493 | + | 0.263018i | ||||
\(748\) | 5.45028 | − | 2.42662i | 0.199282 | − | 0.0887261i | ||||
\(749\) | −26.2241 | − | 45.4215i | −0.958208 | − | 1.65966i | ||||
\(750\) | −4.33635 | − | 12.8428i | −0.158341 | − | 0.468952i | ||||
\(751\) | 11.2893 | + | 9.47286i | 0.411953 | + | 0.345669i | 0.825092 | − | 0.564998i | \(-0.191123\pi\) |
−0.413139 | + | 0.910668i | \(0.635568\pi\) | |||||||
\(752\) | −0.530833 | + | 5.05054i | −0.0193575 | + | 0.184174i | ||||
\(753\) | −26.2679 | − | 5.58342i | −0.957256 | − | 0.203471i | ||||
\(754\) | 12.3518 | + | 15.8096i | 0.449827 | + | 0.575752i | ||||
\(755\) | 3.58621 | − | 7.88834i | 0.130516 | − | 0.287086i | ||||
\(756\) | 17.8779 | + | 9.50586i | 0.650214 | + | 0.345725i | ||||
\(757\) | 21.4164 | + | 7.79494i | 0.778393 | + | 0.283312i | 0.700502 | − | 0.713650i | \(-0.252959\pi\) |
0.0778907 | + | 0.996962i | \(0.475181\pi\) | |||||||
\(758\) | 4.67410 | + | 11.5688i | 0.169771 | + | 0.420198i | ||||
\(759\) | 6.09820 | − | 4.43060i | 0.221351 | − | 0.160821i | ||||
\(760\) | −28.2822 | − | 6.19450i | −1.02590 | − | 0.224698i | ||||
\(761\) | 39.2499 | + | 28.5167i | 1.42281 | + | 1.03373i | 0.991300 | + | 0.131623i | \(0.0420187\pi\) |
0.431509 | + | 0.902109i | \(0.357981\pi\) | |||||||
\(762\) | 3.18977 | − | 12.7935i | 0.115553 | − | 0.463459i | ||||
\(763\) | 28.8040 | − | 8.25941i | 1.04277 | − | 0.299011i | ||||
\(764\) | −14.9540 | + | 14.4409i | −0.541016 | + | 0.522453i | ||||
\(765\) | 3.53749 | + | 0.399769i | 0.127898 | + | 0.0144537i | ||||
\(766\) | 12.1527 | − | 18.0171i | 0.439095 | − | 0.650985i | ||||
\(767\) | 12.0790 | + | 13.4150i | 0.436146 | + | 0.484389i | ||||
\(768\) | 10.6175 | + | 18.3900i | 0.383126 | + | 0.663593i | ||||
\(769\) | 31.0716 | − | 19.4157i | 1.12047 | − | 0.700148i | 0.162413 | − | 0.986723i | \(-0.448072\pi\) |
0.958058 | + | 0.286575i | \(0.0925166\pi\) | |||||||
\(770\) | 32.3184 | − | 21.4336i | 1.16467 | − | 0.772414i | ||||
\(771\) | 11.4625 | − | 12.7304i | 0.412811 | − | 0.458474i | ||||
\(772\) | −2.83469 | − | 0.602531i | −0.102023 | − | 0.0216856i | ||||
\(773\) | 7.15286 | + | 2.05105i | 0.257271 | + | 0.0737712i | 0.401794 | − | 0.915730i | \(-0.368387\pi\) |
−0.144523 | + | 0.989501i | \(0.546165\pi\) | |||||||
\(774\) | 1.60030 | + | 9.07576i | 0.0575216 | + | 0.326221i | ||||
\(775\) | 4.83251 | − | 39.9618i | 0.173589 | − | 1.43547i | ||||
\(776\) | −36.3949 | − | 13.2467i | −1.30650 | − | 0.475527i | ||||
\(777\) | −24.3040 | + | 1.69950i | −0.871899 | + | 0.0609691i | ||||
\(778\) | 6.63039 | + | 20.4062i | 0.237711 | + | 0.731599i | ||||
\(779\) | 11.3805 | + | 39.4453i | 0.407747 | + | 1.41328i | ||||
\(780\) | −6.17589 | + | 4.74791i | −0.221132 | + | 0.170002i | ||||
\(781\) | −4.44015 | − | 10.9898i | −0.158881 | − | 0.393245i | ||||
\(782\) | 1.18302 | + | 0.430583i | 0.0423046 | + | 0.0153976i | ||||
\(783\) | 38.0564 | + | 20.2349i | 1.36002 | + | 0.723137i | ||||
\(784\) | 2.82159 | + | 2.72477i | 0.100771 | + | 0.0973134i | ||||
\(785\) | −13.1141 | − | 3.37873i | −0.468061 | − | 0.120592i | ||||
\(786\) | 10.8284 | − | 4.82110i | 0.386235 | − | 0.171963i | ||||
\(787\) | −30.1674 | − | 13.4314i | −1.07535 | − | 0.478778i | −0.208848 | − | 0.977948i | \(-0.566971\pi\) |
−0.866504 | + | 0.499170i | \(0.833638\pi\) | |||||||
\(788\) | 12.0198 | + | 0.840507i | 0.428188 | + | 0.0299418i | ||||
\(789\) | 2.78360 | + | 11.1644i | 0.0990989 | + | 0.397464i | ||||
\(790\) | 8.48361 | + | 3.50494i | 0.301833 | + | 0.124700i | ||||
\(791\) | 3.94510 | + | 37.5351i | 0.140271 | + | 1.33459i | ||||
\(792\) | 0.771181 | + | 22.0837i | 0.0274027 | + | 0.784712i | ||||
\(793\) | −2.24679 | − | 12.7422i | −0.0797860 | − | 0.452489i | ||||
\(794\) | 3.39083 | + | 1.80294i | 0.120336 | + | 0.0639838i | ||||
\(795\) | −2.80085 | − | 0.934304i | −0.0993359 | − | 0.0331363i | ||||
\(796\) | −10.6314 | − | 6.64321i | −0.376819 | − | 0.235462i | ||||
\(797\) | −1.18629 | − | 3.65103i | −0.0420206 | − | 0.129326i | 0.927845 | − | 0.372965i | \(-0.121659\pi\) |
−0.969866 | + | 0.243639i | \(0.921659\pi\) | |||||||
\(798\) | −8.57468 | + | 16.1903i | −0.303540 | + | 0.573131i | ||||
\(799\) | −7.15142 | −0.252999 | ||||||||
\(800\) | −22.6784 | − | 12.5167i | −0.801804 | − | 0.442532i | ||||
\(801\) | −6.05621 | − | 2.20428i | −0.213985 | − | 0.0778843i | ||||
\(802\) | −14.2158 | + | 13.7280i | −0.501977 | + | 0.484754i | ||||
\(803\) | 31.3875 | − | 16.6890i | 1.10764 | − | 0.588943i | ||||
\(804\) | −4.21853 | − | 5.39947i | −0.148776 | − | 0.190424i | ||||
\(805\) | −8.96381 | − | 1.65286i | −0.315933 | − | 0.0582558i | ||||
\(806\) | 20.3146 | − | 4.31800i | 0.715550 | − | 0.152095i | ||||
\(807\) | −16.5819 | − | 13.9139i | −0.583712 | − | 0.489792i | ||||
\(808\) | 6.44037 | − | 4.02439i | 0.226571 | − | 0.141578i | ||||
\(809\) | −8.59491 | − | 3.82670i | −0.302181 | − | 0.134540i | 0.250045 | − | 0.968234i | \(-0.419555\pi\) |
−0.552226 | + | 0.833695i | \(0.686221\pi\) | |||||||
\(810\) | 2.66145 | − | 4.91249i | 0.0935139 | − | 0.172607i | ||||
\(811\) | 16.9966 | + | 4.87370i | 0.596832 | + | 0.171139i | 0.560435 | − | 0.828199i | \(-0.310634\pi\) |
0.0363974 | + | 0.999337i | \(0.488412\pi\) | |||||||
\(812\) | −20.4386 | − | 19.7374i | −0.717255 | − | 0.692645i | ||||
\(813\) | 4.84012 | + | 9.92372i | 0.169750 | + | 0.348040i | ||||
\(814\) | −15.7728 | − | 23.3842i | −0.552837 | − | 0.819614i | ||||
\(815\) | 36.6421 | − | 32.4779i | 1.28352 | − | 1.13765i | ||||
\(816\) | 0.867600 | − | 0.630348i | 0.0303721 | − | 0.0220666i | ||||
\(817\) | 28.1107 | − | 5.00398i | 0.983467 | − | 0.175067i | ||||
\(818\) | −31.5937 | −1.10465 | ||||||||
\(819\) | −4.98172 | − | 12.3302i | −0.174075 | − | 0.430852i | ||||
\(820\) | −0.173383 | + | 22.1941i | −0.00605480 | + | 0.775050i | ||||
\(821\) | −52.4633 | + | 7.37324i | −1.83098 | + | 0.257328i | −0.968546 | − | 0.248836i | \(-0.919952\pi\) |
−0.862437 | + | 0.506164i | \(0.831063\pi\) | |||||||
\(822\) | 11.4806 | − | 6.10436i | 0.400433 | − | 0.212914i | ||||
\(823\) | 52.3238 | + | 15.0036i | 1.82389 | + | 0.522993i | 0.999099 | − | 0.0424397i | \(-0.0135130\pi\) |
0.824794 | + | 0.565433i | \(0.191291\pi\) | |||||||
\(824\) | −5.30485 | + | 9.18826i | −0.184803 | + | 0.320088i | ||||
\(825\) | 17.5063 | + | 26.8497i | 0.609492 | + | 0.934788i | ||||
\(826\) | 17.5821 | + | 14.7531i | 0.611759 | + | 0.513327i | ||||
\(827\) | 3.45412 | + | 13.8537i | 0.120112 | + | 0.481742i | 0.999979 | + | 0.00652173i | \(0.00207595\pi\) |
−0.879867 | + | 0.475220i | \(0.842368\pi\) | |||||||
\(828\) | 1.19930 | − | 1.33196i | 0.0416787 | − | 0.0462889i | ||||
\(829\) | 19.1973 | + | 4.08050i | 0.666748 | + | 0.141722i | 0.528838 | − | 0.848723i | \(-0.322628\pi\) |
0.137911 | + | 0.990445i | \(0.455961\pi\) | |||||||
\(830\) | −12.7589 | + | 5.03933i | −0.442866 | + | 0.174918i | ||||
\(831\) | −3.80450 | − | 0.534687i | −0.131976 | − | 0.0185481i | ||||
\(832\) | 3.04072 | − | 17.2448i | 0.105418 | − | 0.597856i | ||||
\(833\) | −3.40071 | + | 4.35272i | −0.117828 | + | 0.150813i | ||||
\(834\) | −5.29694 | + | 21.2449i | −0.183418 | + | 0.735650i | ||||
\(835\) | −24.3825 | + | 18.7448i | −0.843793 | + | 0.648692i | ||||
\(836\) | 23.6100 | − | 0.863059i | 0.816568 | − | 0.0298495i | ||||
\(837\) | 36.0964 | − | 26.2256i | 1.24767 | − | 0.906489i | ||||
\(838\) | −2.44474 | + | 9.80532i | −0.0844522 | + | 0.338719i | ||||
\(839\) | 18.4395 | + | 27.3377i | 0.636602 | + | 0.943801i | 0.999926 | + | 0.0121387i | \(0.00386397\pi\) |
−0.363324 | + | 0.931663i | \(0.618358\pi\) | |||||||
\(840\) | −20.0983 | + | 20.4896i | −0.693457 | + | 0.706959i | ||||
\(841\) | −22.6464 | − | 21.8694i | −0.780911 | − | 0.754117i | ||||
\(842\) | 0.342009 | + | 9.79386i | 0.0117864 | + | 0.337519i | ||||
\(843\) | 1.72994 | − | 2.99634i | 0.0595823 | − | 0.103200i | ||||
\(844\) | −3.85832 | + | 0.820112i | −0.132809 | + | 0.0282294i | ||||
\(845\) | −13.3284 | − | 0.569717i | −0.458511 | − | 0.0195989i | ||||
\(846\) | 3.42413 | − | 8.47502i | 0.117724 | − | 0.291377i | ||||
\(847\) | −35.8427 | + | 39.8073i | −1.23157 | + | 1.36780i | ||||
\(848\) | 0.756460 | − | 0.336798i | 0.0259770 | − | 0.0115657i | ||||
\(849\) | −31.1693 | + | 11.3447i | −1.06973 | + | 0.389349i | ||||
\(850\) | −2.08271 | + | 4.93162i | −0.0714364 | + | 0.169153i | ||||
\(851\) | −1.15124 | + | 6.52898i | −0.0394638 | + | 0.223811i | ||||
\(852\) | 1.69283 | + | 2.50973i | 0.0579955 | + | 0.0859818i | ||||
\(853\) | 10.7056 | + | 6.68959i | 0.366552 | + | 0.229047i | 0.700672 | − | 0.713483i | \(-0.252884\pi\) |
−0.334120 | + | 0.942530i | \(0.608439\pi\) | |||||||
\(854\) | −5.08363 | − | 15.6458i | −0.173958 | − | 0.535388i | ||||
\(855\) | 12.4064 | + | 6.69526i | 0.424289 | + | 0.228973i | ||||
\(856\) | −13.8874 | + | 42.7409i | −0.474660 | + | 1.46085i | ||||
\(857\) | 3.30450 | − | 2.77280i | 0.112879 | − | 0.0947171i | −0.584601 | − | 0.811321i | \(-0.698749\pi\) |
0.697480 | + | 0.716604i | \(0.254304\pi\) | |||||||
\(858\) | −10.1815 | + | 13.0318i | −0.347592 | + | 0.444897i | ||||
\(859\) | 3.26909 | + | 6.70263i | 0.111540 | + | 0.228691i | 0.947261 | − | 0.320464i | \(-0.103839\pi\) |
−0.835721 | + | 0.549155i | \(0.814950\pi\) | |||||||
\(860\) | 15.3385 | + | 1.73339i | 0.523037 | + | 0.0591080i | ||||
\(861\) | 39.1213 | + | 11.2178i | 1.33325 | + | 0.382303i | ||||
\(862\) | 2.83173 | + | 26.9421i | 0.0964490 | + | 0.917651i | ||||
\(863\) | −24.3347 | − | 10.8345i | −0.828363 | − | 0.368811i | −0.0516497 | − | 0.998665i | \(-0.516448\pi\) |
−0.776713 | + | 0.629854i | \(0.783115\pi\) | |||||||
\(864\) | −6.94606 | − | 27.8591i | −0.236310 | − | 0.947786i | ||||
\(865\) | −15.9941 | + | 42.8977i | −0.543816 | + | 1.45857i | ||||
\(866\) | −0.343765 | − | 0.153054i | −0.0116816 | − | 0.00520098i | ||||
\(867\) | −13.1680 | − | 14.6245i | −0.447209 | − | 0.496675i | ||||
\(868\) | −27.6387 | + | 10.0597i | −0.938118 | + | 0.341447i | ||||
\(869\) | −21.4940 | − | 3.02078i | −0.729133 | − | 0.102473i | ||||
\(870\) | −14.7640 | + | 15.0515i | −0.500546 | + | 0.510292i | ||||
\(871\) | −0.482816 | + | 13.8260i | −0.0163596 | + | 0.468477i | ||||
\(872\) | −21.7740 | − | 13.6059i | −0.737360 | − | 0.460754i | ||||
\(873\) | 15.2571 | + | 11.0849i | 0.516374 | + | 0.375168i | ||||
\(874\) | 3.71033 | + | 3.32985i | 0.125504 | + | 0.112634i | ||||
\(875\) | 8.94470 | − | 37.7130i | 0.302386 | − | 1.27493i | ||||
\(876\) | −6.95513 | + | 5.83605i | −0.234992 | + | 0.197182i | ||||
\(877\) | −17.2749 | − | 25.6111i | −0.583333 | − | 0.864827i | 0.415668 | − | 0.909516i | \(-0.363548\pi\) |
−0.999001 | + | 0.0446897i | \(0.985770\pi\) | |||||||
\(878\) | −20.9196 | + | 2.94006i | −0.706002 | + | 0.0992222i | ||||
\(879\) | −0.153282 | + | 0.0815016i | −0.00517008 | + | 0.00274898i | ||||
\(880\) | −8.70493 | − | 2.24275i | −0.293443 | − | 0.0756032i | ||||
\(881\) | 6.61098 | + | 7.34224i | 0.222730 | + | 0.247366i | 0.844145 | − | 0.536115i | \(-0.180109\pi\) |
−0.621415 | + | 0.783481i | \(0.713442\pi\) | |||||||
\(882\) | −3.53005 | − | 6.11423i | −0.118863 | − | 0.205877i | ||||
\(883\) | −19.8679 | + | 12.4149i | −0.668609 | + | 0.417793i | −0.821312 | − | 0.570479i | \(-0.806758\pi\) |
0.152703 | + | 0.988272i | \(0.451202\pi\) | |||||||
\(884\) | 3.06905 | + | 0.214609i | 0.103223 | + | 0.00721807i | ||||
\(885\) | −12.3071 | + | 14.4364i | −0.413698 | + | 0.485276i | ||||
\(886\) | 5.68250 | − | 2.53001i | 0.190907 | − | 0.0849974i | ||||
\(887\) | 23.3620 | − | 34.6356i | 0.784421 | − | 1.16295i | −0.198712 | − | 0.980058i | \(-0.563676\pi\) |
0.983133 | − | 0.182893i | \(-0.0585463\pi\) | |||||||
\(888\) | 15.0168 | + | 14.5015i | 0.503930 | + | 0.486640i | ||||
\(889\) | 27.1201 | − | 26.1896i | 0.909578 | − | 0.878369i | ||||
\(890\) | 5.75760 | − | 7.79585i | 0.192995 | − | 0.261317i | ||||
\(891\) | −3.19614 | + | 12.8190i | −0.107075 | + | 0.429454i | ||||
\(892\) | 1.78853 | − | 5.50454i | 0.0598846 | − | 0.184306i | ||||
\(893\) | −26.2749 | − | 10.5659i | −0.879254 | − | 0.353574i | ||||
\(894\) | −8.98238 | + | 27.6449i | −0.300416 | + | 0.924585i | ||||
\(895\) | −8.43022 | − | 19.3398i | −0.281791 | − | 0.646458i | ||||
\(896\) | −0.476578 | + | 13.6474i | −0.0159214 | + | 0.455928i | ||||
\(897\) | 3.84920 | − | 0.540969i | 0.128521 | − | 0.0180624i | ||||
\(898\) | −12.2208 | + | 25.0564i | −0.407814 | + | 0.836142i | ||||
\(899\) | −58.8339 | + | 21.4138i | −1.96222 | + | 0.714190i | ||||
\(900\) | 5.39906 | + | 5.37934i | 0.179969 | + | 0.179311i | ||||
\(901\) | 0.583036 | + | 1.00985i | 0.0194237 | + | 0.0336429i | ||||
\(902\) | 11.3988 | + | 45.7180i | 0.379537 | + | 1.52224i | ||||
\(903\) | 10.6031 | − | 26.2437i | 0.352850 | − | 0.873335i | ||||
\(904\) | 21.6392 | − | 24.0327i | 0.719708 | − | 0.799317i | ||||
\(905\) | −0.389348 | − | 2.93663i | −0.0129424 | − | 0.0976170i | ||||
\(906\) | 0.163970 | + | 4.69548i | 0.00544753 | + | 0.155997i | ||||
\(907\) | −2.33641 | − | 13.2504i | −0.0775792 | − | 0.439973i | −0.998713 | − | 0.0507263i | \(-0.983846\pi\) |
0.921133 | − | 0.389247i | \(-0.127265\pi\) | |||||||
\(908\) | −14.7575 | − | 7.84669i | −0.489744 | − | 0.260401i | ||||
\(909\) | −3.55461 | + | 1.01927i | −0.117899 | + | 0.0338069i | ||||
\(910\) | 19.9039 | − | 1.93490i | 0.659807 | − | 0.0641414i | ||||
\(911\) | −23.8385 | − | 17.3197i | −0.789804 | − | 0.573826i | 0.118101 | − | 0.993002i | \(-0.462319\pi\) |
−0.907905 | + | 0.419175i | \(0.862319\pi\) | |||||||
\(912\) | 4.11894 | − | 1.03411i | 0.136392 | − | 0.0342428i | ||||
\(913\) | 26.2428 | − | 19.0665i | 0.868511 | − | 0.631011i | ||||
\(914\) | −13.2067 | + | 0.923502i | −0.436839 | + | 0.0305467i | ||||
\(915\) | 12.9642 | − | 4.10062i | 0.428582 | − | 0.135562i | ||||
\(916\) | 8.88579 | + | 18.2186i | 0.293595 | + | 0.601958i | ||||
\(917\) | 33.5628 | + | 4.71694i | 1.10834 | + | 0.155767i | ||||
\(918\) | −5.57598 | + | 2.02949i | −0.184035 | + | 0.0669832i | ||||
\(919\) | 27.5086 | + | 30.5514i | 0.907424 | + | 1.00780i | 0.999927 | + | 0.0120845i | \(0.00384670\pi\) |
−0.0925026 | + | 0.995712i | \(0.529487\pi\) | |||||||
\(920\) | 4.08689 | + | 6.65552i | 0.134741 | + | 0.219426i | ||||
\(921\) | 11.4560 | − | 28.3545i | 0.377487 | − | 0.934312i | ||||
\(922\) | 12.3681 | − | 30.6121i | 0.407321 | − | 1.00816i | ||||
\(923\) | 0.638896 | − | 6.07869i | 0.0210295 | − | 0.200083i | ||||
\(924\) | 11.7103 | − | 20.2829i | 0.385242 | − | 0.667258i | ||||
\(925\) | −27.4803 | − | 6.29141i | −0.903548 | − | 0.206860i | ||||
\(926\) | −1.66952 | − | 9.46830i | −0.0548637 | − | 0.311148i | ||||
\(927\) | 3.71618 | − | 3.58867i | 0.122055 | − | 0.117867i | ||||
\(928\) | −1.40610 | + | 40.2656i | −0.0461576 | + | 1.32178i | ||||
\(929\) | −35.5660 | − | 22.2241i | −1.16688 | − | 0.729149i | −0.198864 | − | 0.980027i | \(-0.563725\pi\) |
−0.968019 | + | 0.250878i | \(0.919281\pi\) | |||||||
\(930\) | 7.30426 | + | 20.5668i | 0.239516 | + | 0.674411i | ||||
\(931\) | −18.9254 | + | 10.9678i | −0.620256 | + | 0.359456i | ||||
\(932\) | −20.7868 | −0.680894 | ||||||||
\(933\) | 15.1169 | + | 37.4157i | 0.494906 | + | 1.22494i | ||||
\(934\) | 6.59268 | − | 1.89042i | 0.215719 | − | 0.0618564i | ||||
\(935\) | 1.85963 | − | 12.5214i | 0.0608163 | − | 0.409493i | ||||
\(936\) | −4.99520 | + | 10.2417i | −0.163273 | + | 0.334760i | ||||
\(937\) | −20.1092 | + | 29.8131i | −0.656938 | + | 0.973950i | 0.342470 | + | 0.939529i | \(0.388737\pi\) |
−0.999407 | + | 0.0344212i | \(0.989041\pi\) | |||||||
\(938\) | 1.83863 | + | 17.4934i | 0.0600335 | + | 0.571181i | ||||
\(939\) | 4.28404 | − | 40.7600i | 0.139804 | − | 1.33015i | ||||
\(940\) | −11.9906 | − | 9.51986i | −0.391090 | − | 0.310504i | ||||
\(941\) | −49.4505 | − | 3.45792i | −1.61204 | − | 0.112725i | −0.764920 | − | 0.644125i | \(-0.777222\pi\) |
−0.847121 | + | 0.531400i | \(0.821666\pi\) | |||||||
\(942\) | 7.18225 | − | 1.52663i | 0.234010 | − | 0.0497404i | ||||
\(943\) | 5.53731 | − | 9.59091i | 0.180320 | − | 0.312323i | ||||
\(944\) | −0.185674 | − | 5.31700i | −0.00604316 | − | 0.173054i | ||||
\(945\) | 37.3727 | − | 21.1896i | 1.21574 | − | 0.689299i | ||||
\(946\) | 32.4506 | − | 4.56064i | 1.05506 | − | 0.148279i | ||||
\(947\) | −0.152668 | + | 4.37183i | −0.00496103 | + | 0.142065i | 0.994383 | + | 0.105844i | \(0.0337544\pi\) |
−0.999344 | + | 0.0362215i | \(0.988468\pi\) | |||||||
\(948\) | 5.53012 | − | 0.386704i | 0.179610 | − | 0.0125596i | ||||
\(949\) | 18.3314 | 0.595061 | ||||||||
\(950\) | −14.9383 | + | 15.0420i | −0.484662 | + | 0.488028i | ||||
\(951\) | 8.74889 | 0.283702 | ||||||||
\(952\) | 11.3075 | − | 0.790699i | 0.366479 | − | 0.0256267i | ||||
\(953\) | 0.537675 | − | 15.3970i | 0.0174170 | − | 0.498758i | −0.959068 | − | 0.283175i | \(-0.908612\pi\) |
0.976485 | − | 0.215583i | \(-0.0691653\pi\) | |||||||
\(954\) | −1.47591 | + | 0.207426i | −0.0477844 | + | 0.00671567i | ||||
\(955\) | 8.83339 | + | 43.2151i | 0.285842 | + | 1.39841i | ||||
\(956\) | −1.00452 | − | 28.7657i | −0.0324885 | − | 0.930350i | ||||
\(957\) | 24.9275 | − | 43.1758i | 0.805793 | − | 1.39567i | ||||
\(958\) | −14.1363 | + | 3.00476i | −0.456723 | + | 0.0970794i | ||||
\(959\) | 37.0889 | + | 2.59351i | 1.19766 | + | 0.0837487i | ||||
\(960\) | 18.3852 | + | 0.785866i | 0.593379 | + | 0.0253637i | ||||
\(961\) | −3.53432 | + | 33.6268i | −0.114010 | + | 1.08474i | ||||
\(962\) | −1.52039 | − | 14.4656i | −0.0490194 | − | 0.466389i | ||||
\(963\) | 12.2365 | − | 18.1414i | 0.394317 | − | 0.584599i | ||||
\(964\) | −5.35022 | + | 10.9696i | −0.172319 | + | 0.353306i | ||||
\(965\) | −4.30585 | + | 4.38969i | −0.138610 | + | 0.141309i | ||||
\(966\) | 4.75070 | − | 1.36224i | 0.152851 | − | 0.0438294i | ||||
\(967\) | 15.0520 | + | 37.2550i | 0.484040 | + | 1.19804i | 0.949724 | + | 0.313090i | \(0.101364\pi\) |
−0.465683 | + | 0.884951i | \(0.654191\pi\) | |||||||
\(968\) | 45.8983 | 1.47523 | ||||||||
\(969\) | 2.05457 | + | 5.61636i | 0.0660024 | + | 0.180423i | ||||
\(970\) | −22.4829 | + | 17.2844i | −0.721881 | + | 0.554969i | ||||
\(971\) | 5.25501 | + | 3.28370i | 0.168641 | + | 0.105379i | 0.611614 | − | 0.791156i | \(-0.290521\pi\) |
−0.442973 | + | 0.896535i | \(0.646076\pi\) | |||||||
\(972\) | −0.493749 | + | 14.1391i | −0.0158370 | + | 0.453512i | ||||
\(973\) | −45.0356 | + | 43.4904i | −1.44378 | + | 1.39424i | ||||
\(974\) | 4.12042 | + | 23.3681i | 0.132027 | + | 0.748761i | ||||
\(975\) | 1.47069 | + | 16.4632i | 0.0470998 | + | 0.527243i | ||||
\(976\) | −1.90667 | + | 3.30245i | −0.0610310 | + | 0.105709i | ||||
\(977\) | −1.57812 | + | 15.0148i | −0.0504884 | + | 0.480365i | 0.939839 | + | 0.341617i | \(0.110975\pi\) |
−0.990328 | + | 0.138748i | \(0.955692\pi\) | |||||||
\(978\) | −9.94520 | + | 24.6152i | −0.318013 | + | 0.787109i | ||||
\(979\) | −8.58478 | + | 21.2481i | −0.274371 | + | 0.679091i | ||||
\(980\) | −11.4962 | + | 2.77111i | −0.367232 | + | 0.0885198i | ||||
\(981\) | 8.36542 | + | 9.29074i | 0.267087 | + | 0.296631i | ||||
\(982\) | 0.0865126 | − | 0.0314880i | 0.00276073 | − | 0.00100482i | ||||
\(983\) | 29.6649 | + | 4.16913i | 0.946164 | + | 0.132975i | 0.595346 | − | 0.803469i | \(-0.297015\pi\) |
0.350818 | + | 0.936444i | \(0.385904\pi\) | |||||||
\(984\) | −15.2869 | − | 31.3428i | −0.487329 | − | 0.999173i | ||||
\(985\) | 15.1883 | − | 20.5651i | 0.483938 | − | 0.655257i | ||||
\(986\) | 8.30638 | − | 0.580839i | 0.264529 | − | 0.0184977i | ||||
\(987\) | −22.7122 | + | 16.5014i | −0.722939 | + | 0.525246i | ||||
\(988\) | 10.9588 | + | 5.32286i | 0.348647 | + | 0.169343i | ||||
\(989\) | −6.23124 | − | 4.52726i | −0.198142 | − | 0.143958i | ||||
\(990\) | 13.9485 | + | 8.19911i | 0.443312 | + | 0.260585i | ||||
\(991\) | −3.54771 | + | 1.01729i | −0.112697 | + | 0.0323152i | −0.331512 | − | 0.943451i | \(-0.607559\pi\) |
0.218815 | + | 0.975766i | \(0.429781\pi\) | |||||||
\(992\) | 36.8254 | + | 19.5804i | 1.16921 | + | 0.621679i | ||||
\(993\) | −6.07430 | − | 34.4491i | −0.192762 | − | 1.09321i | ||||
\(994\) | −0.271215 | − | 7.76658i | −0.00860241 | − | 0.246341i | ||||
\(995\) | −23.9976 | + | 11.4732i | −0.760775 | + | 0.363726i | ||||
\(996\) | −5.54363 | + | 6.15682i | −0.175657 | + | 0.195086i | ||||
\(997\) | 7.88535 | − | 19.5169i | 0.249731 | − | 0.618107i | −0.749294 | − | 0.662237i | \(-0.769607\pi\) |
0.999026 | + | 0.0441301i | \(0.0140516\pi\) | |||||||
\(998\) | 6.64574 | + | 26.6546i | 0.210367 | + | 0.843737i | ||||
\(999\) | −15.6241 | − | 27.0617i | −0.494324 | − | 0.856194i |
(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 | 475.2.bc.a.291.32 | yes | 1152 | |
19.16 | even | 9 | inner | 475.2.bc.a.16.32 | ✓ | 1152 | |
25.11 | even | 5 | inner | 475.2.bc.a.386.32 | yes | 1152 | |
475.111 | even | 45 | inner | 475.2.bc.a.111.32 | yes | 1152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.bc.a.16.32 | ✓ | 1152 | 19.16 | even | 9 | inner | |
475.2.bc.a.111.32 | yes | 1152 | 475.111 | even | 45 | inner | |
475.2.bc.a.291.32 | yes | 1152 | 1.1 | even | 1 | trivial | |
475.2.bc.a.386.32 | yes | 1152 | 25.11 | even | 5 | inner |