Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [405,2,Mod(8,405)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(405, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("405.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.r (of order \(36\), degree \(12\), 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: | \(3.23394128186\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 135) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 278.1 | ||
Character | \(\chi\) | \(=\) | 405.278 |
Dual form | 405.2.r.a.287.1 |
$q$-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 \(\left(\mathbb{Z}/405\mathbb{Z}\right)^\times\).
\(n\) | \(82\) | \(326\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.237511 | − | 2.71476i | −0.167946 | − | 1.91963i | −0.350732 | − | 0.936476i | \(-0.614067\pi\) |
0.182786 | − | 0.983153i | \(-0.441488\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −5.34392 | + | 0.942278i | −2.67196 | + | 0.471139i | ||||
\(5\) | −0.428650 | + | 2.19460i | −0.191698 | + | 0.981454i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.907744 | + | 1.29639i | 0.343095 | + | 0.489990i | 0.953204 | − | 0.302327i | \(-0.0977634\pi\) |
−0.610109 | + | 0.792317i | \(0.708874\pi\) | |||||||
\(8\) | 2.41667 | + | 9.01913i | 0.854422 | + | 3.18874i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 6.05963 | + | 0.642443i | 1.91622 | + | 0.203158i | ||||
\(11\) | −0.162954 | − | 0.447712i | −0.0491325 | − | 0.134990i | 0.912699 | − | 0.408632i | \(-0.133994\pi\) |
−0.961832 | + | 0.273642i | \(0.911772\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.76700 | + | 0.242081i | 0.767427 | + | 0.0671411i | 0.464144 | − | 0.885760i | \(-0.346362\pi\) |
0.303282 | + | 0.952901i | \(0.401917\pi\) | |||||||
\(14\) | 3.30380 | − | 2.77222i | 0.882978 | − | 0.740907i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 13.7126 | − | 4.99098i | 3.42815 | − | 1.24775i | ||||
\(17\) | −0.898665 | + | 3.35386i | −0.217958 | + | 0.813431i | 0.767146 | + | 0.641473i | \(0.221676\pi\) |
−0.985104 | + | 0.171959i | \(0.944990\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.97319 | + | 1.13922i | 0.452681 | + | 0.261356i | 0.708962 | − | 0.705247i | \(-0.249164\pi\) |
−0.256281 | + | 0.966602i | \(0.582497\pi\) | |||||||
\(20\) | 0.222753 | − | 12.1317i | 0.0498090 | − | 2.71272i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.17673 | + | 0.548719i | −0.250880 | + | 0.116987i | ||||
\(23\) | 0.329603 | + | 0.230790i | 0.0687269 | + | 0.0481231i | 0.607435 | − | 0.794369i | \(-0.292199\pi\) |
−0.538708 | + | 0.842493i | \(0.681087\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.63252 | − | 1.88143i | −0.926504 | − | 0.376286i | ||||
\(26\) | − | 7.56924i | − | 1.48445i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −6.07248 | − | 6.07248i | −1.14759 | − | 1.14759i | ||||
\(29\) | 4.29568 | + | 3.60450i | 0.797687 | + | 0.669339i | 0.947635 | − | 0.319355i | \(-0.103466\pi\) |
−0.149948 | + | 0.988694i | \(0.547911\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.908475 | + | 5.15222i | 0.163167 | + | 0.925366i | 0.950934 | + | 0.309393i | \(0.100126\pi\) |
−0.787767 | + | 0.615973i | \(0.788763\pi\) | |||||||
\(32\) | −8.91403 | − | 19.1162i | −1.57579 | − | 3.37930i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 9.31839 | + | 1.64308i | 1.59809 | + | 0.281787i | ||||
\(35\) | −3.23417 | + | 1.43643i | −0.546674 | + | 0.242802i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.44483 | + | 0.387140i | 0.237528 | + | 0.0636454i | 0.375619 | − | 0.926774i | \(-0.377430\pi\) |
−0.138091 | + | 0.990420i | \(0.544097\pi\) | |||||||
\(38\) | 2.62407 | − | 5.62733i | 0.425680 | − | 0.912873i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −20.8293 | + | 1.43756i | −3.29340 | + | 0.227299i | ||||
\(41\) | 4.99389 | + | 5.95149i | 0.779915 | + | 0.929467i | 0.998930 | − | 0.0462550i | \(-0.0147287\pi\) |
−0.219015 | + | 0.975722i | \(0.570284\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.07467 | − | 0.501128i | −0.163886 | − | 0.0764213i | 0.338944 | − | 0.940806i | \(-0.389930\pi\) |
−0.502830 | + | 0.864385i | \(0.667708\pi\) | |||||||
\(44\) | 1.29268 | + | 2.23899i | 0.194879 | + | 0.337541i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.548257 | − | 0.949609i | 0.0808361 | − | 0.140012i | ||||
\(47\) | −9.92230 | + | 6.94767i | −1.44732 | + | 1.01342i | −0.454894 | + | 0.890546i | \(0.650323\pi\) |
−0.992422 | + | 0.122876i | \(0.960788\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.53751 | − | 4.22426i | 0.219644 | − | 0.603466i | ||||
\(50\) | −4.00736 | + | 13.0231i | −0.566727 | + | 1.84174i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −15.0147 | + | 1.31362i | −2.08217 | + | 0.182166i | ||||
\(53\) | −0.274270 | + | 0.274270i | −0.0376738 | + | 0.0376738i | −0.725693 | − | 0.688019i | \(-0.758481\pi\) |
0.688019 | + | 0.725693i | \(0.258481\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.05240 | − | 0.165706i | 0.141905 | − | 0.0223439i | ||||
\(56\) | −9.49862 | + | 11.3200i | −1.26931 | + | 1.51270i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 8.76510 | − | 12.5179i | 1.15091 | − | 1.64368i | ||||
\(59\) | −3.33385 | − | 1.21342i | −0.434031 | − | 0.157974i | 0.115759 | − | 0.993277i | \(-0.463070\pi\) |
−0.549790 | + | 0.835303i | \(0.685292\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.59716 | + | 9.05792i | −0.204495 | + | 1.15975i | 0.693738 | + | 0.720228i | \(0.255963\pi\) |
−0.898233 | + | 0.439520i | \(0.855149\pi\) | |||||||
\(62\) | 13.7713 | − | 3.69001i | 1.74896 | − | 0.468631i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −24.5036 | + | 14.1471i | −3.06294 | + | 1.76839i | ||||
\(65\) | −1.71734 | + | 5.96868i | −0.213010 | + | 0.740323i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.15101 | − | 13.1561i | 0.140618 | − | 1.60727i | −0.518394 | − | 0.855142i | \(-0.673470\pi\) |
0.659012 | − | 0.752132i | \(-0.270975\pi\) | |||||||
\(68\) | 1.64212 | − | 18.7696i | 0.199137 | − | 2.27614i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 4.66773 | + | 8.43883i | 0.557901 | + | 1.00863i | ||||
\(71\) | 13.8198 | − | 7.97886i | 1.64011 | − | 0.946916i | 0.659313 | − | 0.751869i | \(-0.270847\pi\) |
0.980794 | − | 0.195047i | \(-0.0624860\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.73957 | + | 2.07381i | −0.905849 | + | 0.242721i | −0.681526 | − | 0.731794i | \(-0.738683\pi\) |
−0.224322 | + | 0.974515i | \(0.572017\pi\) | |||||||
\(74\) | 0.707832 | − | 4.01431i | 0.0822838 | − | 0.466655i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −11.6180 | − | 4.22862i | −1.33268 | − | 0.485056i | ||||
\(77\) | 0.432491 | − | 0.617661i | 0.0492869 | − | 0.0703890i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.85683 | − | 3.40464i | 0.321418 | − | 0.383051i | −0.581006 | − | 0.813899i | \(-0.697341\pi\) |
0.902425 | + | 0.430848i | \(0.141785\pi\) | |||||||
\(80\) | 5.07529 | + | 32.2331i | 0.567434 | + | 3.60377i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 14.9708 | − | 14.9708i | 1.65325 | − | 1.65325i | ||||
\(83\) | 2.90211 | − | 0.253902i | 0.318548 | − | 0.0278694i | 0.0732395 | − | 0.997314i | \(-0.476666\pi\) |
0.245309 | + | 0.969445i | \(0.421111\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.97517 | − | 3.40984i | −0.756563 | − | 0.369849i | ||||
\(86\) | −1.10520 | + | 3.03651i | −0.119177 | + | 0.327435i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.64417 | − | 2.55168i | 0.388470 | − | 0.272010i | ||||
\(89\) | 3.50126 | − | 6.06435i | 0.371132 | − | 0.642820i | −0.618608 | − | 0.785700i | \(-0.712303\pi\) |
0.989740 | + | 0.142880i | \(0.0456363\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.19789 | + | 3.80686i | 0.230402 | + | 0.399068i | ||||
\(92\) | −1.97884 | − | 0.922748i | −0.206308 | − | 0.0962031i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 21.2179 | + | 25.2866i | 2.18846 | + | 2.60811i | ||||
\(95\) | −3.34594 | + | 3.84203i | −0.343287 | + | 0.394184i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.19969 | + | 6.86175i | −0.324879 | + | 0.696705i | −0.999126 | − | 0.0418007i | \(-0.986691\pi\) |
0.674247 | + | 0.738506i | \(0.264468\pi\) | |||||||
\(98\) | −11.8331 | − | 3.17066i | −1.19532 | − | 0.320285i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 26.5286 | + | 5.68909i | 2.65286 | + | 0.568909i | ||||
\(101\) | −5.72678 | − | 1.00979i | −0.569836 | − | 0.100477i | −0.118696 | − | 0.992931i | \(-0.537871\pi\) |
−0.451140 | + | 0.892453i | \(0.648983\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.89098 | − | 4.05522i | −0.186324 | − | 0.399573i | 0.790851 | − | 0.612009i | \(-0.209638\pi\) |
−0.977175 | + | 0.212436i | \(0.931860\pi\) | |||||||
\(104\) | 4.50356 | + | 25.5409i | 0.441610 | + | 2.50450i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.809720 | + | 0.679435i | 0.0786469 | + | 0.0659926i | ||||
\(107\) | 0.577939 | + | 0.577939i | 0.0558714 | + | 0.0558714i | 0.734490 | − | 0.678619i | \(-0.237421\pi\) |
−0.678619 | + | 0.734490i | \(0.737421\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.45996i | 0.810317i | 0.914246 | + | 0.405159i | \(0.132784\pi\) | ||||
−0.914246 | + | 0.405159i | \(0.867216\pi\) | |||||||
\(110\) | −0.699811 | − | 2.81766i | −0.0667243 | − | 0.268653i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 18.9178 | + | 13.2464i | 1.78757 | + | 1.25167i | ||||
\(113\) | −1.97616 | + | 0.921497i | −0.185901 | + | 0.0866871i | −0.513340 | − | 0.858185i | \(-0.671592\pi\) |
0.327439 | + | 0.944872i | \(0.393814\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.647776 | + | 0.624417i | −0.0604054 | + | 0.0582272i | ||||
\(116\) | −26.3522 | − | 15.2145i | −2.44674 | − | 1.41263i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.50233 | + | 9.33883i | −0.230358 | + | 0.859709i | ||||
\(119\) | −5.16368 | + | 1.87943i | −0.473354 | + | 0.172287i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.25260 | − | 6.92475i | 0.750236 | − | 0.629523i | ||||
\(122\) | 24.9695 | + | 2.18454i | 2.26063 | + | 0.197779i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −9.70964 | − | 26.6770i | −0.871952 | − | 2.39567i | ||||
\(125\) | 6.11471 | − | 9.36004i | 0.546916 | − | 0.837187i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.923874 | + | 3.44795i | 0.0819806 | + | 0.305956i | 0.994725 | − | 0.102575i | \(-0.0327081\pi\) |
−0.912745 | + | 0.408530i | \(0.866041\pi\) | |||||||
\(128\) | 20.0298 | + | 28.6056i | 1.77040 | + | 2.52840i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 16.6114 | + | 3.24456i | 1.45692 | + | 0.284566i | ||||
\(131\) | 3.02885 | − | 0.534068i | 0.264632 | − | 0.0466617i | −0.0397579 | − | 0.999209i | \(-0.512659\pi\) |
0.304390 | + | 0.952548i | \(0.401548\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.314273 | + | 3.59215i | 0.0272509 | + | 0.311479i | ||||
\(134\) | −35.9891 | −3.10899 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −32.4207 | −2.78005 | ||||||||
\(137\) | 0.181036 | + | 2.06926i | 0.0154670 | + | 0.176788i | 0.999999 | + | 0.00158226i | \(0.000503650\pi\) |
−0.984532 | + | 0.175206i | \(0.943941\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −15.2015 | + | 2.68044i | −1.28938 | + | 0.227352i | −0.775957 | − | 0.630785i | \(-0.782733\pi\) |
−0.513420 | + | 0.858137i | \(0.671622\pi\) | |||||||
\(140\) | 15.9296 | − | 10.7237i | 1.34630 | − | 0.906316i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −24.9431 | − | 35.6224i | −2.09318 | − | 2.98937i | ||||
\(143\) | −0.342511 | − | 1.27827i | −0.0286422 | − | 0.106894i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.75177 | + | 7.88221i | −0.809841 | + | 0.654582i | ||||
\(146\) | 7.46815 | + | 20.5186i | 0.618068 | + | 1.69813i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −8.08583 | − | 0.707419i | −0.664651 | − | 0.0581495i | ||||
\(149\) | 12.0609 | − | 10.1203i | 0.988065 | − | 0.829085i | 0.00277827 | − | 0.999996i | \(-0.499116\pi\) |
0.985286 | + | 0.170911i | \(0.0546712\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.00956 | + | 0.367451i | −0.0821571 | + | 0.0299027i | −0.382772 | − | 0.923843i | \(-0.625030\pi\) |
0.300615 | + | 0.953746i | \(0.402808\pi\) | |||||||
\(152\) | −5.50625 | + | 20.5496i | −0.446616 | + | 1.66679i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.77953 | − | 1.02741i | −0.143398 | − | 0.0827910i | ||||
\(155\) | −11.6965 | − | 0.214762i | −0.939483 | − | 0.0172501i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −15.6022 | + | 7.27543i | −1.24519 | + | 0.580643i | −0.929711 | − | 0.368289i | \(-0.879944\pi\) |
−0.315481 | + | 0.948932i | \(0.602166\pi\) | |||||||
\(158\) | −9.92131 | − | 6.94698i | −0.789297 | − | 0.552672i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 45.7734 | − | 11.3685i | 3.61870 | − | 0.898762i | ||||
\(161\) | 0.636793i | 0.0501863i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.47310 | + | 2.47310i | 0.193708 | + | 0.193708i | 0.797296 | − | 0.603588i | \(-0.206263\pi\) |
−0.603588 | + | 0.797296i | \(0.706263\pi\) | |||||||
\(164\) | −32.2949 | − | 27.0987i | −2.52181 | − | 2.11605i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.37857 | − | 7.81825i | −0.106998 | − | 0.606814i | ||||
\(167\) | −2.78431 | − | 5.97097i | −0.215456 | − | 0.462048i | 0.768640 | − | 0.639681i | \(-0.220934\pi\) |
−0.984097 | + | 0.177634i | \(0.943156\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.20483 | − | 0.917752i | −0.400372 | − | 0.0705963i | ||||
\(170\) | −7.60024 | + | 19.7458i | −0.582912 | + | 1.51443i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.21517 | + | 1.66535i | 0.473902 | + | 0.126982i | ||||
\(173\) | −4.51859 | + | 9.69016i | −0.343542 | + | 0.736729i | −0.999842 | − | 0.0177714i | \(-0.994343\pi\) |
0.656300 | + | 0.754500i | \(0.272121\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.76607 | − | 7.71342i | −0.133502 | − | 0.583080i | ||||
\(176\) | −4.46905 | − | 5.32601i | −0.336867 | − | 0.401463i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −17.2949 | − | 8.06473i | −1.29631 | − | 0.604477i | ||||
\(179\) | −3.31311 | − | 5.73847i | −0.247633 | − | 0.428913i | 0.715235 | − | 0.698884i | \(-0.246319\pi\) |
−0.962869 | + | 0.269970i | \(0.912986\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.36897 | + | 7.56727i | −0.324743 | + | 0.562471i | −0.981460 | − | 0.191666i | \(-0.938611\pi\) |
0.656717 | + | 0.754137i | \(0.271944\pi\) | |||||||
\(182\) | 9.81271 | − | 6.87094i | 0.727367 | − | 0.509308i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.28499 | + | 3.53048i | −0.0947306 | + | 0.260270i | ||||
\(185\) | −1.46894 | + | 3.00487i | −0.107999 | + | 0.220922i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.64801 | − | 0.144182i | 0.120514 | − | 0.0105436i | ||||
\(188\) | 46.4773 | − | 46.4773i | 3.38971 | − | 3.38971i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 11.2249 | + | 8.17092i | 0.814341 | + | 0.592781i | ||||
\(191\) | 12.9658 | − | 15.4521i | 0.938176 | − | 1.11807i | −0.0546500 | − | 0.998506i | \(-0.517404\pi\) |
0.992826 | − | 0.119569i | \(-0.0381512\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.7709 | − | 15.3824i | 0.775303 | − | 1.10725i | −0.216096 | − | 0.976372i | \(-0.569332\pi\) |
0.991399 | − | 0.130875i | \(-0.0417788\pi\) | |||||||
\(194\) | 19.3880 | + | 7.05665i | 1.39198 | + | 0.506638i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.23588 | + | 24.0229i | −0.302563 | + | 1.71592i | ||||
\(197\) | 4.84019 | − | 1.29693i | 0.344849 | − | 0.0924021i | −0.0822373 | − | 0.996613i | \(-0.526207\pi\) |
0.427087 | + | 0.904211i | \(0.359540\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 14.4356 | − | 8.33443i | 1.02332 | − | 0.590812i | 0.108253 | − | 0.994123i | \(-0.465474\pi\) |
0.915063 | + | 0.403312i | \(0.132141\pi\) | |||||||
\(200\) | 5.77360 | − | 46.3281i | 0.408255 | − | 3.27589i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.38116 | + | 15.7867i | −0.0971779 | + | 1.11075i | ||||
\(203\) | −0.773474 | + | 8.84085i | −0.0542872 | + | 0.620506i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −15.2018 | + | 8.40848i | −1.06174 | + | 0.587274i | ||||
\(206\) | −10.5599 | + | 6.09673i | −0.735740 | + | 0.424779i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 39.1510 | − | 10.4905i | 2.71463 | − | 0.727384i | ||||
\(209\) | 0.188505 | − | 1.06906i | 0.0130391 | − | 0.0739486i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.81899 | + | 3.57382i | 0.675967 | + | 0.246032i | 0.657115 | − | 0.753790i | \(-0.271777\pi\) |
0.0188522 | + | 0.999822i | \(0.493999\pi\) | |||||||
\(212\) | 1.20724 | − | 1.72411i | 0.0829134 | − | 0.118413i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.43170 | − | 1.70623i | 0.0978690 | − | 0.116636i | ||||
\(215\) | 1.56043 | − | 2.14367i | 0.106421 | − | 0.146197i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.85464 | + | 5.85464i | −0.397439 | + | 0.397439i | ||||
\(218\) | 22.9668 | − | 2.00934i | 1.55551 | − | 0.136089i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.46780 | + | 1.87717i | −0.368639 | + | 0.126559i | ||||
\(221\) | −3.29851 | + | 9.06258i | −0.221882 | + | 0.609615i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 19.2158 | − | 13.4550i | 1.28678 | − | 0.901015i | 0.288381 | − | 0.957516i | \(-0.406883\pi\) |
0.998403 | + | 0.0565006i | \(0.0179943\pi\) | |||||||
\(224\) | 16.6904 | − | 28.9087i | 1.11518 | − | 1.93154i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.97101 | + | 5.14593i | 0.197628 | + | 0.342302i | ||||
\(227\) | −18.1424 | − | 8.45994i | −1.20415 | − | 0.561506i | −0.286191 | − | 0.958173i | \(-0.592389\pi\) |
−0.917963 | + | 0.396667i | \(0.870167\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −14.1827 | − | 16.9023i | −0.937218 | − | 1.11693i | −0.992955 | − | 0.118488i | \(-0.962195\pi\) |
0.0557370 | − | 0.998445i | \(-0.482249\pi\) | |||||||
\(230\) | 1.84900 | + | 1.61025i | 0.121919 | + | 0.106177i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −22.1282 | + | 47.4542i | −1.45279 | + | 3.11552i | ||||
\(233\) | −18.0369 | − | 4.83296i | −1.18163 | − | 0.316618i | −0.386059 | − | 0.922474i | \(-0.626164\pi\) |
−0.795574 | + | 0.605856i | \(0.792831\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.9941 | − | 24.7536i | −0.717179 | − | 1.61474i | ||||
\(236\) | 18.9592 | + | 3.34302i | 1.23414 | + | 0.217612i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 6.32863 | + | 13.5718i | 0.410224 | + | 0.879729i | ||||
\(239\) | −3.38846 | − | 19.2169i | −0.219181 | − | 1.24304i | −0.873502 | − | 0.486821i | \(-0.838156\pi\) |
0.654320 | − | 0.756218i | \(-0.272955\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.76991 | − | 3.16333i | −0.242841 | − | 0.203768i | 0.513241 | − | 0.858244i | \(-0.328445\pi\) |
−0.756082 | + | 0.654476i | \(0.772889\pi\) | |||||||
\(242\) | −20.7592 | − | 20.7592i | −1.33445 | − | 1.33445i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 49.9098i | − | 3.19515i | ||||||
\(245\) | 8.61150 | + | 5.18494i | 0.550169 | + | 0.331253i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.18403 | + | 3.62990i | 0.329852 | + | 0.230965i | ||||
\(248\) | −44.2731 | + | 20.6449i | −2.81134 | + | 1.31095i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −26.8626 | − | 14.3769i | −1.69894 | − | 0.909274i | ||||
\(251\) | 18.1080 | + | 10.4546i | 1.14297 | + | 0.659892i | 0.947163 | − | 0.320752i | \(-0.103935\pi\) |
0.195803 | + | 0.980643i | \(0.437269\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.0496176 | − | 0.185175i | 0.00311943 | − | 0.0116419i | ||||
\(254\) | 9.14093 | − | 3.32703i | 0.573553 | − | 0.208756i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 29.5507 | − | 24.7960i | 1.84692 | − | 1.54975i | ||||
\(257\) | −14.5430 | − | 1.27235i | −0.907166 | − | 0.0793667i | −0.375986 | − | 0.926626i | \(-0.622696\pi\) |
−0.531180 | + | 0.847259i | \(0.678251\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.809647 | + | 2.22449i | 0.0503090 | + | 0.138223i | ||||
\(260\) | 3.55320 | − | 33.5144i | 0.220360 | − | 2.07847i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.16925 | − | 8.09576i | −0.134017 | − | 0.500158i | ||||
\(263\) | −17.5612 | − | 25.0799i | −1.08287 | − | 1.54650i | −0.811801 | − | 0.583935i | \(-0.801512\pi\) |
−0.271067 | − | 0.962561i | \(-0.587376\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.484346 | − | 0.719477i | −0.0297531 | − | 0.0441971i | ||||
\(266\) | 9.67721 | − | 1.70635i | 0.593348 | − | 0.104623i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6.24580 | + | 71.3898i | 0.381523 | + | 4.36083i | ||||
\(269\) | 23.6912 | 1.44448 | 0.722239 | − | 0.691643i | \(-0.243113\pi\) | ||||
0.722239 | + | 0.691643i | \(0.243113\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 20.1164 | 1.22198 | 0.610991 | − | 0.791638i | \(-0.290771\pi\) | ||||
0.610991 | + | 0.791638i | \(0.290771\pi\) | |||||||
\(272\) | 4.41603 | + | 50.4755i | 0.267761 | + | 3.06052i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.57454 | − | 0.982943i | 0.336771 | − | 0.0593817i | ||||
\(275\) | −0.0874520 | + | 2.38062i | −0.00527355 | + | 0.143557i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.72217 | + | 12.4565i | 0.524064 | + | 0.748441i | 0.990708 | − | 0.136004i | \(-0.0434260\pi\) |
−0.466644 | + | 0.884445i | \(0.654537\pi\) | |||||||
\(278\) | 10.8873 | + | 40.6320i | 0.652977 | + | 2.43694i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −20.7713 | − | 25.6980i | −1.24132 | − | 1.53575i | ||||
\(281\) | 8.16607 | + | 22.4361i | 0.487147 | + | 1.33842i | 0.903253 | + | 0.429108i | \(0.141172\pi\) |
−0.416106 | + | 0.909316i | \(0.636606\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.284217 | − | 0.0248657i | −0.0168949 | − | 0.00147811i | 0.0787051 | − | 0.996898i | \(-0.474921\pi\) |
−0.0956001 | + | 0.995420i | \(0.530477\pi\) | |||||||
\(284\) | −66.3335 | + | 55.6605i | −3.93617 | + | 3.30284i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.38884 | + | 1.23344i | −0.200387 | + | 0.0729347i | ||||
\(287\) | −3.18229 | + | 11.8765i | −0.187845 | + | 0.701046i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.28164 | + | 2.47200i | 0.251861 | + | 0.145412i | ||||
\(290\) | 23.7145 | + | 24.6017i | 1.39256 | + | 1.44466i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 39.4056 | − | 18.3751i | 2.30604 | − | 1.07532i | ||||
\(293\) | 12.7347 | + | 8.91694i | 0.743969 | + | 0.520933i | 0.883010 | − | 0.469354i | \(-0.155513\pi\) |
−0.139041 | + | 0.990287i | \(0.544402\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.09203 | − | 6.79633i | 0.238247 | − | 0.395698i | ||||
\(296\) | 13.9667i | 0.811796i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −30.3387 | − | 30.3387i | −1.75748 | − | 1.75748i | ||||
\(299\) | 0.856140 | + | 0.718387i | 0.0495119 | + | 0.0415454i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.325869 | − | 1.84809i | −0.0187828 | − | 0.106522i | ||||
\(302\) | 1.23733 | + | 2.65345i | 0.0712001 | + | 0.152689i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 32.7435 | + | 5.77355i | 1.87797 | + | 0.331136i | ||||
\(305\) | −19.1939 | − | 7.38779i | −1.09904 | − | 0.423024i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −10.1671 | − | 2.72426i | −0.580267 | − | 0.155482i | −0.0432656 | − | 0.999064i | \(-0.513776\pi\) |
−0.537001 | + | 0.843582i | \(0.680443\pi\) | |||||||
\(308\) | −1.72919 | + | 3.70826i | −0.0985297 | + | 0.211298i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.19501 | + | 31.8042i | 0.124668 | + | 1.80636i | ||||
\(311\) | −2.06659 | − | 2.46287i | −0.117186 | − | 0.139657i | 0.704262 | − | 0.709940i | \(-0.251278\pi\) |
−0.821448 | + | 0.570283i | \(0.806833\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 22.0403 | + | 10.2775i | 1.24579 | + | 0.580921i | 0.929878 | − | 0.367868i | \(-0.119912\pi\) |
0.315911 | + | 0.948789i | \(0.397690\pi\) | |||||||
\(314\) | 23.4568 | + | 40.6283i | 1.32374 | + | 2.29279i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −12.0586 | + | 20.8860i | −0.678347 | + | 1.17493i | ||||
\(317\) | −17.0133 | + | 11.9128i | −0.955562 | + | 0.669092i | −0.943688 | − | 0.330838i | \(-0.892669\pi\) |
−0.0118742 | + | 0.999929i | \(0.503780\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.913782 | − | 2.51060i | 0.0511620 | − | 0.140566i | ||||
\(320\) | −20.5438 | − | 59.8396i | −1.14843 | − | 3.34514i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.72874 | − | 0.151246i | 0.0963391 | − | 0.00842858i | ||||
\(323\) | −5.59403 | + | 5.59403i | −0.311260 | + | 0.311260i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −12.3627 | − | 6.32735i | −0.685759 | − | 0.350978i | ||||
\(326\) | 6.12650 | − | 7.30128i | 0.339315 | − | 0.404380i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −41.6087 | + | 59.4234i | −2.29746 | + | 3.28111i | ||||
\(329\) | −18.0138 | − | 6.55649i | −0.993134 | − | 0.361471i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.03458 | − | 5.86738i | 0.0568655 | − | 0.322500i | −0.943084 | − | 0.332555i | \(-0.892089\pi\) |
0.999949 | + | 0.0100545i | \(0.00320050\pi\) | |||||||
\(332\) | −15.2694 | + | 4.09143i | −0.838018 | + | 0.224546i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −15.5485 | + | 8.97692i | −0.850775 | + | 0.491195i | ||||
\(335\) | 28.3790 | + | 8.16537i | 1.55051 | + | 0.446122i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.971978 | + | 11.1098i | −0.0529470 | + | 0.605187i | 0.922653 | + | 0.385631i | \(0.126016\pi\) |
−0.975600 | + | 0.219556i | \(0.929539\pi\) | |||||||
\(338\) | −1.25528 | + | 14.3479i | −0.0682780 | + | 0.780421i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 40.4878 | + | 11.6494i | 2.19576 | + | 0.631776i | ||||
\(341\) | 2.15867 | − | 1.24631i | 0.116899 | − | 0.0674915i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.5727 | − | 4.70859i | 0.948837 | − | 0.254240i | ||||
\(344\) | 1.92261 | − | 10.9037i | 0.103660 | − | 0.587887i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 27.3797 | + | 9.96540i | 1.47194 | + | 0.535743i | ||||
\(347\) | 13.6142 | − | 19.4431i | 0.730851 | − | 1.04376i | −0.265962 | − | 0.963984i | \(-0.585690\pi\) |
0.996813 | − | 0.0797793i | \(-0.0254216\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.82633 | − | 5.75179i | 0.258347 | − | 0.307886i | −0.621243 | − | 0.783618i | \(-0.713372\pi\) |
0.879591 | + | 0.475731i | \(0.157817\pi\) | |||||||
\(350\) | −20.5207 | + | 6.62649i | −1.09688 | + | 0.354201i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −7.10598 | + | 7.10598i | −0.378750 | + | 0.378750i | ||||
\(353\) | 5.16281 | − | 0.451688i | 0.274789 | − | 0.0240409i | 0.0510716 | − | 0.998695i | \(-0.483736\pi\) |
0.223717 | + | 0.974654i | \(0.428181\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 11.5865 | + | 33.7490i | 0.614949 | + | 1.79121i | ||||
\(356\) | −12.9961 | + | 35.7066i | −0.688793 | + | 1.89244i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −14.7917 | + | 10.3573i | −0.781765 | + | 0.547398i | ||||
\(359\) | 6.82697 | − | 11.8247i | 0.360314 | − | 0.624082i | −0.627699 | − | 0.778457i | \(-0.716003\pi\) |
0.988012 | + | 0.154375i | \(0.0493363\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.90435 | − | 11.9587i | −0.363387 | − | 0.629404i | ||||
\(362\) | 21.5810 | + | 10.0634i | 1.13427 | + | 0.528921i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −15.3325 | − | 18.2725i | −0.803641 | − | 0.957742i | ||||
\(365\) | −1.23361 | − | 17.8742i | −0.0645703 | − | 0.935578i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.11448 | − | 19.5461i | 0.475772 | − | 1.02030i | −0.511208 | − | 0.859457i | \(-0.670802\pi\) |
0.986981 | − | 0.160840i | \(-0.0514203\pi\) | |||||||
\(368\) | 5.67159 | + | 1.51970i | 0.295652 | + | 0.0792197i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 8.50639 | + | 3.27414i | 0.442226 | + | 0.170215i | ||||
\(371\) | −0.604528 | − | 0.106595i | −0.0313855 | − | 0.00553411i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.59299 | − | 11.9942i | −0.289594 | − | 0.621037i | 0.706656 | − | 0.707557i | \(-0.250203\pi\) |
−0.996250 | + | 0.0865206i | \(0.972425\pi\) | |||||||
\(374\) | −0.782840 | − | 4.43971i | −0.0404797 | − | 0.229572i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −86.6408 | − | 72.7003i | −4.46816 | − | 3.74923i | ||||
\(377\) | 11.0135 | + | 11.0135i | 0.567226 | + | 0.567226i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 27.4089i | 1.40790i | 0.710249 | + | 0.703951i | \(0.248583\pi\) | ||||
−0.710249 | + | 0.703951i | \(0.751417\pi\) | |||||||
\(380\) | 14.2602 | − | 23.6843i | 0.731533 | − | 1.21498i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −45.0283 | − | 31.5292i | −2.30385 | − | 1.61317i | ||||
\(383\) | 32.7469 | − | 15.2701i | 1.67329 | − | 0.780267i | 0.674157 | − | 0.738588i | \(-0.264507\pi\) |
0.999131 | − | 0.0416793i | \(-0.0132708\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.17013 | + | 1.21390i | 0.0596353 | + | 0.0618663i | ||||
\(386\) | −44.3177 | − | 25.5869i | −2.25571 | − | 1.30234i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 10.6332 | − | 39.6836i | 0.539819 | − | 2.01463i | ||||
\(389\) | −17.3733 | + | 6.32335i | −0.880860 | + | 0.320607i | −0.742557 | − | 0.669783i | \(-0.766387\pi\) |
−0.138303 | + | 0.990390i | \(0.544165\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.07024 | + | 0.898039i | −0.0541244 | + | 0.0454158i | ||||
\(392\) | 41.8148 | + | 3.65832i | 2.11197 | + | 0.184773i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.67045 | − | 12.8320i | −0.235294 | − | 0.646464i | ||||
\(395\) | 6.24723 | + | 7.72899i | 0.314332 | + | 0.388888i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.80671 | + | 29.1350i | 0.391807 | + | 1.46224i | 0.827151 | + | 0.561980i | \(0.189960\pi\) |
−0.435343 | + | 0.900265i | \(0.643373\pi\) | |||||||
\(398\) | −26.0546 | − | 37.2099i | −1.30600 | − | 1.86516i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −72.9141 | − | 2.67849i | −3.64571 | − | 0.133925i | ||||
\(401\) | −34.2820 | + | 6.04485i | −1.71196 | + | 0.301865i | −0.941848 | − | 0.336040i | \(-0.890912\pi\) |
−0.770115 | + | 0.637905i | \(0.779801\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.26649 | + | 14.4761i | 0.0630886 | + | 0.721106i | ||||
\(404\) | 31.5550 | 1.56992 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 24.1845 | 1.20026 | ||||||||
\(407\) | −0.0621128 | − | 0.709953i | −0.00307882 | − | 0.0351911i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 21.8207 | − | 3.84758i | 1.07897 | − | 0.190251i | 0.394208 | − | 0.919021i | \(-0.371019\pi\) |
0.684758 | + | 0.728771i | \(0.259908\pi\) | |||||||
\(410\) | 26.4376 | + | 39.2721i | 1.30566 | + | 1.93951i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 13.9264 | + | 19.8890i | 0.686105 | + | 0.979859i | ||||
\(413\) | −1.45321 | − | 5.42346i | −0.0715079 | − | 0.266871i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.686778 | + | 6.47780i | −0.0337126 | + | 0.317983i | ||||
\(416\) | −20.0374 | − | 55.0524i | −0.982415 | − | 2.69916i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.94703 | − | 0.257831i | −0.144144 | − | 0.0126109i | ||||
\(419\) | −3.82900 | + | 3.21291i | −0.187059 | + | 0.156961i | −0.731508 | − | 0.681833i | \(-0.761183\pi\) |
0.544449 | + | 0.838794i | \(0.316739\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.3825 | − | 4.50685i | 0.603485 | − | 0.219651i | −0.0221653 | − | 0.999754i | \(-0.507056\pi\) |
0.625650 | + | 0.780104i | \(0.284834\pi\) | |||||||
\(422\) | 7.36996 | − | 27.5051i | 0.358764 | − | 1.33893i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.13649 | − | 1.81086i | −0.152322 | − | 0.0879429i | ||||
\(425\) | 10.4731 | − | 13.8461i | 0.508022 | − | 0.671632i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −13.1924 | + | 6.15173i | −0.638426 | + | 0.297703i | ||||
\(428\) | −3.63304 | − | 2.54388i | −0.175609 | − | 0.122963i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6.19017 | − | 3.72707i | −0.298516 | − | 0.179735i | ||||
\(431\) | 14.5168i | 0.699251i | 0.936890 | + | 0.349625i | \(0.113691\pi\) | ||||
−0.936890 | + | 0.349625i | \(0.886309\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −16.6348 | − | 16.6348i | −0.799416 | − | 0.799416i | 0.183587 | − | 0.983003i | \(-0.441229\pi\) |
−0.983003 | + | 0.183587i | \(0.941229\pi\) | |||||||
\(434\) | 17.2845 | + | 14.5034i | 0.829683 | + | 0.696187i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −7.97163 | − | 45.2094i | −0.381772 | − | 2.16514i | ||||
\(437\) | 0.387448 | + | 0.830884i | 0.0185341 | + | 0.0397466i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 21.2894 | + | 3.75390i | 1.01609 | + | 0.179164i | 0.656801 | − | 0.754064i | \(-0.271909\pi\) |
0.359287 | + | 0.933227i | \(0.383020\pi\) | |||||||
\(440\) | 4.03783 | + | 9.09127i | 0.192496 | + | 0.433409i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 25.3862 | + | 6.80221i | 1.20750 | + | 0.323548i | ||||
\(443\) | 5.07285 | − | 10.8788i | 0.241018 | − | 0.516866i | −0.748172 | − | 0.663505i | \(-0.769068\pi\) |
0.989190 | + | 0.146640i | \(0.0468458\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.8080 | + | 10.2833i | 0.559753 | + | 0.487477i | ||||
\(446\) | −41.0912 | − | 48.9706i | −1.94572 | − | 2.31882i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −40.5832 | − | 18.9243i | −1.91738 | − | 0.894087i | ||||
\(449\) | 15.1373 | + | 26.2186i | 0.714374 | + | 1.23733i | 0.963200 | + | 0.268784i | \(0.0866218\pi\) |
−0.248826 | + | 0.968548i | \(0.580045\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.85078 | − | 3.20565i | 0.0871499 | − | 0.150948i | ||||
\(452\) | 9.69212 | − | 6.78649i | 0.455879 | − | 0.319210i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −18.6577 | + | 51.2617i | −0.875651 | + | 2.40583i | ||||
\(455\) | −9.29666 | + | 3.19168i | −0.435834 | + | 0.149628i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 41.4537 | − | 3.62673i | 1.93912 | − | 0.169651i | 0.949541 | − | 0.313642i | \(-0.101549\pi\) |
0.989579 | + | 0.143990i | \(0.0459935\pi\) | |||||||
\(458\) | −42.5171 | + | 42.5171i | −1.98670 | + | 1.98670i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.87329 | − | 3.94722i | 0.133968 | − | 0.184040i | ||||
\(461\) | 11.0916 | − | 13.2184i | 0.516586 | − | 0.615643i | −0.443184 | − | 0.896431i | \(-0.646151\pi\) |
0.959770 | + | 0.280788i | \(0.0905957\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.45428 | − | 13.5021i | 0.439378 | − | 0.627496i | −0.536996 | − | 0.843585i | \(-0.680441\pi\) |
0.976374 | + | 0.216088i | \(0.0693299\pi\) | |||||||
\(464\) | 76.8950 | + | 27.9875i | 3.56976 | + | 1.29929i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −8.83640 | + | 50.1137i | −0.409338 | + | 2.32147i | ||||
\(467\) | −3.84448 | + | 1.03012i | −0.177901 | + | 0.0476685i | −0.346670 | − | 0.937987i | \(-0.612688\pi\) |
0.168769 | + | 0.985656i | \(0.446021\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 18.1003 | − | 10.4502i | 0.835795 | − | 0.482546i | ||||
\(470\) | −64.5889 | + | 35.7258i | −2.97926 | + | 1.64791i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.88720 | − | 33.0009i | 0.132894 | − | 1.51899i | ||||
\(473\) | −0.0492391 | + | 0.562805i | −0.00226402 | + | 0.0258778i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.99748 | − | 8.98989i | −0.321066 | − | 0.412484i | ||||
\(476\) | 25.8234 | − | 14.9091i | 1.18361 | − | 0.683359i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −51.3646 | + | 13.7631i | −2.34936 | + | 0.629510i | ||||
\(479\) | −0.246236 | + | 1.39648i | −0.0112508 | + | 0.0638066i | −0.989916 | − | 0.141654i | \(-0.954758\pi\) |
0.978665 | + | 0.205460i | \(0.0658692\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.90411 | + | 1.42098i | 0.178012 | + | 0.0647911i | ||||
\(482\) | −7.69230 | + | 10.9857i | −0.350375 | + | 0.500387i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −37.5762 | + | 44.7816i | −1.70801 | + | 2.03553i | ||||
\(485\) | −13.6872 | − | 9.96332i | −0.621505 | − | 0.452411i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −5.92999 | + | 5.92999i | −0.268714 | + | 0.268714i | −0.828582 | − | 0.559868i | \(-0.810852\pi\) |
0.559868 | + | 0.828582i | \(0.310852\pi\) | |||||||
\(488\) | −85.5544 | + | 7.48504i | −3.87286 | + | 0.338832i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 12.0306 | − | 24.6097i | 0.543485 | − | 1.11175i | ||||
\(491\) | 9.16760 | − | 25.1878i | 0.413728 | − | 1.13671i | −0.541464 | − | 0.840724i | \(-0.682130\pi\) |
0.955193 | − | 0.295985i | \(-0.0956479\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −15.9494 | + | 11.1679i | −0.718324 | + | 0.502976i | ||||
\(494\) | 8.62305 | − | 14.9356i | 0.387969 | − | 0.671983i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 38.1722 | + | 66.1162i | 1.71398 | + | 2.96871i | ||||
\(497\) | 22.8886 | + | 10.6731i | 1.02669 | + | 0.478754i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.19594 | − | 8.57579i | −0.322134 | − | 0.383905i | 0.580538 | − | 0.814233i | \(-0.302842\pi\) |
−0.902672 | + | 0.430328i | \(0.858398\pi\) | |||||||
\(500\) | −23.8568 | + | 55.7811i | −1.06691 | + | 2.49460i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 24.0811 | − | 51.6420i | 1.07479 | − | 2.30490i | ||||
\(503\) | −12.8521 | − | 3.44372i | −0.573049 | − | 0.153548i | −0.0393543 | − | 0.999225i | \(-0.512530\pi\) |
−0.533694 | + | 0.845677i | \(0.679197\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.67086 | − | 12.1351i | 0.207851 | − | 0.540006i | ||||
\(506\) | −0.514493 | − | 0.0907189i | −0.0228720 | − | 0.00403295i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8.18603 | − | 17.5550i | −0.363197 | − | 0.778877i | ||||
\(509\) | −1.12261 | − | 6.36664i | −0.0497588 | − | 0.282196i | 0.949768 | − | 0.312955i | \(-0.101319\pi\) |
−0.999527 | + | 0.0307584i | \(0.990208\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.71403 | − | 8.15104i | −0.429723 | − | 0.360581i | ||||
\(512\) | −24.9482 | − | 24.9482i | −1.10257 | − | 1.10257i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 39.7830i | 1.75475i | ||||||||
\(515\) | 9.71015 | − | 2.41167i | 0.427881 | − | 0.106271i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.72744 | + | 3.31019i | 0.207912 | + | 0.145582i | ||||
\(518\) | 5.84666 | − | 2.72634i | 0.256887 | − | 0.119789i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −57.9825 | − | 1.06463i | −2.54270 | − | 0.0466872i | ||||
\(521\) | 6.34977 | + | 3.66604i | 0.278188 | + | 0.160612i | 0.632603 | − | 0.774476i | \(-0.281987\pi\) |
−0.354415 | + | 0.935088i | \(0.615320\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.37240 | + | 12.5860i | −0.147465 | + | 0.550346i | 0.852168 | + | 0.523268i | \(0.175287\pi\) |
−0.999633 | + | 0.0270787i | \(0.991380\pi\) | |||||||
\(524\) | −15.6827 | + | 5.70803i | −0.685101 | + | 0.249356i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −63.9152 | + | 53.6312i | −2.78683 | + | 2.33843i | ||||
\(527\) | −18.0963 | − | 1.58322i | −0.788285 | − | 0.0689660i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.81109 | − | 21.4608i | −0.339613 | − | 0.933078i | ||||
\(530\) | −1.83817 | + | 1.48577i | −0.0798452 | + | 0.0645377i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −5.06425 | − | 18.9001i | −0.219563 | − | 0.819421i | ||||
\(533\) | 12.3773 | + | 17.6767i | 0.536122 | + | 0.765662i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.51608 | + | 1.02061i | −0.0655457 | + | 0.0441248i | ||||
\(536\) | 121.438 | − | 21.4128i | 5.24534 | − | 0.924894i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5.62693 | − | 64.3161i | −0.242594 | − | 2.77286i | ||||
\(539\) | −2.14180 | −0.0922537 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −19.4815 | −0.837576 | −0.418788 | − | 0.908084i | \(-0.637545\pi\) | ||||
−0.418788 | + | 0.908084i | \(0.637545\pi\) | |||||||
\(542\) | −4.77786 | − | 54.6112i | −0.205227 | − | 2.34575i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 72.1238 | − | 12.7174i | 3.09228 | − | 0.545253i | ||||
\(545\) | −18.5662 | − | 3.62636i | −0.795289 | − | 0.155336i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.23625 | − | 11.7626i | −0.352157 | − | 0.502932i | 0.603521 | − | 0.797347i | \(-0.293764\pi\) |
−0.955678 | + | 0.294415i | \(0.904875\pi\) | |||||||
\(548\) | −2.91726 | − | 10.8874i | −0.124619 | − | 0.465085i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 6.48360 | − | 0.328013i | 0.276462 | − | 0.0139865i | ||||
\(551\) | 4.36986 | + | 12.0061i | 0.186162 | + | 0.511477i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 7.00702 | + | 0.613034i | 0.297969 | + | 0.0260689i | ||||
\(554\) | 31.7450 | − | 26.6372i | 1.34871 | − | 1.13171i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 78.7101 | − | 28.6481i | 3.33805 | − | 1.21495i | ||||
\(557\) | −5.99902 | + | 22.3886i | −0.254187 | + | 0.948637i | 0.714355 | + | 0.699784i | \(0.246720\pi\) |
−0.968541 | + | 0.248853i | \(0.919946\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.85230 | − | 1.64678i | −0.120640 | − | 0.0696513i | ||||
\(560\) | −37.1797 | + | 35.8389i | −1.57113 | + | 1.51447i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 58.9691 | − | 27.4978i | 2.48746 | − | 1.15992i | ||||
\(563\) | 24.6767 | + | 17.2788i | 1.04000 | + | 0.728214i | 0.963187 | − | 0.268832i | \(-0.0866377\pi\) |
0.0768099 | + | 0.997046i | \(0.475527\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.17523 | − | 4.73187i | −0.0494425 | − | 0.199071i | ||||
\(566\) | 0.777487i | 0.0326802i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 105.360 | + | 105.360i | 4.42082 | + | 4.42082i | ||||
\(569\) | 14.2448 | + | 11.9528i | 0.597173 | + | 0.501088i | 0.890536 | − | 0.454913i | \(-0.150330\pi\) |
−0.293362 | + | 0.956001i | \(0.594774\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.82003 | + | 38.6783i | 0.285409 | + | 1.61864i | 0.703819 | + | 0.710379i | \(0.251476\pi\) |
−0.418410 | + | 0.908258i | \(0.637412\pi\) | |||||||
\(572\) | 3.03483 | + | 6.50822i | 0.126893 | + | 0.272122i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 32.9977 | + | 5.81838i | 1.37730 | + | 0.242854i | ||||
\(575\) | −1.09268 | − | 1.68926i | −0.0455677 | − | 0.0704472i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −42.2673 | − | 11.3255i | −1.75961 | − | 0.471486i | −0.772975 | − | 0.634436i | \(-0.781232\pi\) |
−0.986634 | + | 0.162950i | \(0.947899\pi\) | |||||||
\(578\) | 5.69397 | − | 12.2108i | 0.236838 | − | 0.507901i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 44.6855 | − | 51.3108i | 1.85546 | − | 2.13057i | ||||
\(581\) | 2.96353 | + | 3.53180i | 0.122948 | + | 0.146524i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.167487 | + | 0.0781006i | 0.00693661 | + | 0.00323460i | ||||
\(584\) | −37.4080 | − | 64.7925i | −1.54795 | − | 2.68113i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 21.1828 | − | 36.6896i | 0.875051 | − | 1.51563i | ||||
\(587\) | 16.5731 | − | 11.6046i | 0.684046 | − | 0.478974i | −0.179164 | − | 0.983819i | \(-0.557339\pi\) |
0.863210 | + | 0.504845i | \(0.168450\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.07693 | + | 11.2013i | −0.167987 | + | 0.461540i | ||||
\(590\) | −19.4223 | − | 9.49470i | −0.799605 | − | 0.390891i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 21.7446 | − | 1.90240i | 0.893696 | − | 0.0781883i | ||||
\(593\) | −2.27116 | + | 2.27116i | −0.0932652 | + | 0.0932652i | −0.752200 | − | 0.658935i | \(-0.771007\pi\) |
0.658935 | + | 0.752200i | \(0.271007\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.91117 | − | 12.1378i | −0.0783504 | − | 0.497602i | ||||
\(596\) | −54.9162 | + | 65.4466i | −2.24946 | + | 2.68080i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.74691 | − | 2.49484i | 0.0714364 | − | 0.102022i | ||||
\(599\) | 11.3910 | + | 4.14598i | 0.465423 | + | 0.169400i | 0.564078 | − | 0.825722i | \(-0.309232\pi\) |
−0.0986548 | + | 0.995122i | \(0.531454\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.78962 | − | 15.8207i | 0.113791 | − | 0.645340i | −0.873551 | − | 0.486733i | \(-0.838189\pi\) |
0.987342 | − | 0.158607i | \(-0.0507003\pi\) | |||||||
\(602\) | −4.93974 | + | 1.32360i | −0.201329 | + | 0.0539459i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.04879 | − | 2.91492i | 0.205432 | − | 0.118606i | ||||
\(605\) | 11.6596 | + | 21.0794i | 0.474029 | + | 0.857000i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −1.10665 | + | 12.6491i | −0.0449177 | + | 0.513412i | 0.940093 | + | 0.340918i | \(0.110738\pi\) |
−0.985011 | + | 0.172494i | \(0.944818\pi\) | |||||||
\(608\) | 4.18852 | − | 47.8750i | 0.169867 | − | 1.94159i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −15.4974 | + | 53.8615i | −0.627470 | + | 2.18079i | ||||
\(611\) | −29.1369 | + | 16.8222i | −1.17875 | + | 0.680552i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −11.7830 | + | 3.15725i | −0.475912 | + | 0.127520i | −0.488798 | − | 0.872397i | \(-0.662565\pi\) |
0.0128866 | + | 0.999917i | \(0.495898\pi\) | |||||||
\(614\) | −4.98094 | + | 28.2483i | −0.201014 | + | 1.14001i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 6.61595 | + | 2.40801i | 0.266564 | + | 0.0970215i | ||||
\(617\) | −5.34672 | + | 7.63591i | −0.215251 | + | 0.307410i | −0.912228 | − | 0.409684i | \(-0.865639\pi\) |
0.696977 | + | 0.717094i | \(0.254528\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −10.1944 | + | 12.1492i | −0.409748 | + | 0.488319i | −0.930967 | − | 0.365104i | \(-0.881033\pi\) |
0.521218 | + | 0.853423i | \(0.325478\pi\) | |||||||
\(620\) | 62.7074 | − | 9.87365i | 2.51839 | − | 0.396535i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −6.19528 | + | 6.19528i | −0.248408 | + | 0.248408i | ||||
\(623\) | 11.0400 | − | 0.965877i | 0.442309 | − | 0.0386971i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 17.9204 | + | 17.4315i | 0.716818 | + | 0.697260i | ||||
\(626\) | 22.6663 | − | 62.2751i | 0.905927 | − | 2.48901i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 76.5215 | − | 53.5809i | 3.05354 | − | 2.13811i | ||||
\(629\) | −2.59683 | + | 4.49784i | −0.103542 | + | 0.179341i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −12.2239 | − | 21.1724i | −0.486626 | − | 0.842861i | 0.513256 | − | 0.858236i | \(-0.328439\pi\) |
−0.999882 | + | 0.0153745i | \(0.995106\pi\) | |||||||
\(632\) | 37.6109 | + | 17.5382i | 1.49608 | + | 0.697634i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 36.3814 | + | 43.3577i | 1.44489 | + | 1.72195i | ||||
\(635\) | −7.96287 | + | 0.549570i | −0.315997 | + | 0.0218090i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.27689 | − | 11.3163i | 0.209078 | − | 0.448369i | ||||
\(638\) | −7.03271 | − | 1.88441i | −0.278428 | − | 0.0746045i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −71.3635 | + | 31.6956i | −2.82089 | + | 1.25288i | ||||
\(641\) | 5.87001 | + | 1.03504i | 0.231852 | + | 0.0408817i | 0.288367 | − | 0.957520i | \(-0.406888\pi\) |
−0.0565151 | + | 0.998402i | \(0.517999\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −13.5999 | − | 29.1651i | −0.536328 | − | 1.15016i | −0.968648 | − | 0.248438i | \(-0.920083\pi\) |
0.432320 | − | 0.901720i | \(-0.357695\pi\) | |||||||
\(644\) | −0.600036 | − | 3.40297i | −0.0236447 | − | 0.134096i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 16.5151 | + | 13.8578i | 0.649779 | + | 0.545229i | ||||
\(647\) | −5.43613 | − | 5.43613i | −0.213717 | − | 0.213717i | 0.592128 | − | 0.805844i | \(-0.298288\pi\) |
−0.805844 | + | 0.592128i | \(0.798288\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.69034i | 0.0663516i | ||||||||
\(650\) | −14.2410 | + | 35.0647i | −0.558578 | + | 1.37535i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −15.5464 | − | 10.8857i | −0.608844 | − | 0.426317i | ||||
\(653\) | −14.5983 | + | 6.80729i | −0.571275 | + | 0.266390i | −0.686717 | − | 0.726924i | \(-0.740949\pi\) |
0.115443 | + | 0.993314i | \(0.463171\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.126253 | + | 6.87603i | −0.00493310 | + | 0.268669i | ||||
\(656\) | 98.1831 | + | 56.6861i | 3.83341 | + | 2.21322i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −13.5209 | + | 50.4605i | −0.527098 | + | 1.96716i | ||||
\(659\) | −31.0994 | + | 11.3193i | −1.21146 | + | 0.440936i | −0.867210 | − | 0.497942i | \(-0.834089\pi\) |
−0.344250 | + | 0.938878i | \(0.611867\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.7885 | − | 19.1218i | 0.886369 | − | 0.743752i | −0.0811098 | − | 0.996705i | \(-0.525846\pi\) |
0.967478 | + | 0.252954i | \(0.0814020\pi\) | |||||||
\(662\) | −16.1743 | − | 1.41507i | −0.628631 | − | 0.0549981i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 9.30342 | + | 25.5609i | 0.361043 | + | 0.991957i | ||||
\(665\) | −8.01804 | − | 0.850075i | −0.310926 | − | 0.0329645i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.583983 | + | 2.17945i | 0.0226119 | + | 0.0843888i | ||||
\(668\) | 20.5054 | + | 29.2848i | 0.793379 | + | 1.13306i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 15.4267 | − | 78.9816i | 0.595987 | − | 3.05133i | ||||
\(671\) | 4.31561 | − | 0.760958i | 0.166602 | − | 0.0293764i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.02767 | + | 34.6064i | 0.116708 | + | 1.33398i | 0.798306 | + | 0.602252i | \(0.205730\pi\) |
−0.681598 | + | 0.731727i | \(0.738715\pi\) | |||||||
\(674\) | 30.3912 | 1.17063 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 28.6790 | 1.10304 | ||||||||
\(677\) | −1.51507 | − | 17.3173i | −0.0582289 | − | 0.665560i | −0.968083 | − | 0.250631i | \(-0.919362\pi\) |
0.909854 | − | 0.414929i | \(-0.136194\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −11.8000 | + | 2.08066i | −0.452843 | + | 0.0798485i | ||||
\(680\) | 13.8971 | − | 71.1504i | 0.532931 | − | 2.72849i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3.89615 | − | 5.56428i | −0.149191 | − | 0.213067i | ||||
\(683\) | 2.94108 | + | 10.9763i | 0.112537 | + | 0.419995i | 0.999091 | − | 0.0426308i | \(-0.0135739\pi\) |
−0.886554 | + | 0.462626i | \(0.846907\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.61879 | − | 0.489685i | −0.176475 | − | 0.0187099i | ||||
\(686\) | −16.9564 | − | 46.5874i | −0.647400 | − | 1.77872i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −17.2377 | − | 1.50810i | −0.657181 | − | 0.0574959i | ||||
\(689\) | −0.825299 | + | 0.692508i | −0.0314414 | + | 0.0263824i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.0909 | + | 8.04044i | −0.840378 | + | 0.305873i | −0.726111 | − | 0.687577i | \(-0.758674\pi\) |
−0.114267 | + | 0.993450i | \(0.536452\pi\) | |||||||
\(692\) | 15.0162 | − | 56.0412i | 0.570830 | − | 2.13037i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −56.0171 | − | 32.3415i | −2.12638 | − | 1.22767i | ||||
\(695\) | 0.633652 | − | 34.5102i | 0.0240358 | − | 1.30905i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −24.4483 | + | 11.4004i | −0.926046 | + | 0.431822i | ||||
\(698\) | −16.7611 | − | 11.7362i | −0.634416 | − | 0.444223i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 16.7059 | + | 39.5558i | 0.631424 | + | 1.49507i | ||||
\(701\) | − | 44.6039i | − | 1.68467i | −0.538956 | − | 0.842334i | \(-0.681181\pi\) | ||
0.538956 | − | 0.842334i | \(-0.318819\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.40988 | + | 2.40988i | 0.0908903 | + | 0.0908903i | ||||
\(704\) | 10.3268 | + | 8.66522i | 0.389206 | + | 0.326583i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.45245 | − | 13.9085i | −0.0922992 | − | 0.523455i | ||||
\(707\) | −3.88937 | − | 8.34079i | −0.146275 | − | 0.313688i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −36.4781 | − | 6.43207i | −1.36996 | − | 0.241562i | −0.560219 | − | 0.828344i | \(-0.689283\pi\) |
−0.809744 | + | 0.586783i | \(0.800394\pi\) | |||||||
\(710\) | 88.8687 | − | 39.4705i | 3.33518 | − | 1.48130i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 63.1566 | + | 16.9228i | 2.36689 | + | 0.634207i | ||||
\(713\) | −0.889647 | + | 1.90785i | −0.0333175 | + | 0.0714497i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.95210 | − | 0.203744i | 0.110402 | − | 0.00761958i | ||||
\(716\) | 23.1122 | + | 27.5441i | 0.863744 | + | 1.02937i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −33.7227 | − | 15.7251i | −1.25852 | − | 0.586857i | ||||
\(719\) | −19.2483 | − | 33.3390i | −0.717839 | − | 1.24333i | −0.961854 | − | 0.273562i | \(-0.911798\pi\) |
0.244016 | − | 0.969771i | \(-0.421535\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.54064 | − | 6.13256i | 0.131860 | − | 0.228389i | ||||
\(722\) | −30.8251 | + | 21.5840i | −1.14719 | + | 0.803273i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 16.2169 | − | 44.5557i | 0.602698 | − | 1.65590i | ||||
\(725\) | −13.1182 | − | 24.7799i | −0.487197 | − | 0.920304i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −25.9897 | + | 2.27381i | −0.963906 | + | 0.0843308i | −0.558230 | − | 0.829686i | \(-0.688519\pi\) |
−0.405676 | + | 0.914017i | \(0.632964\pi\) | |||||||
\(728\) | −29.0230 | + | 29.0230i | −1.07566 | + | 1.07566i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −48.2312 | + | 7.59429i | −1.78512 | + | 0.281077i | ||||
\(731\) | 2.64649 | − | 3.15396i | 0.0978838 | − | 0.116653i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −27.9576 | + | 39.9276i | −1.03264 | + | 1.47476i | −0.159555 | + | 0.987189i | \(0.551006\pi\) |
−0.873083 | + | 0.487571i | \(0.837883\pi\) | |||||||
\(734\) | −55.2278 | − | 20.1013i | −2.03849 | − | 0.741951i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.47374 | − | 8.35802i | 0.0543230 | − | 0.308081i | ||||
\(737\) | −6.07772 | + | 1.62852i | −0.223876 | + | 0.0599873i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.7531 | + | 6.78566i | −0.432345 | + | 0.249614i | −0.700345 | − | 0.713804i | \(-0.746971\pi\) |
0.268000 | + | 0.963419i | \(0.413637\pi\) | |||||||
\(740\) | 5.01849 | − | 17.4419i | 0.184483 | − | 0.641178i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.145797 | + | 1.66647i | −0.00535238 | + | 0.0611780i | ||||
\(743\) | −0.108282 | + | 1.23767i | −0.00397247 | + | 0.0454055i | −0.997922 | − | 0.0644303i | \(-0.979477\pi\) |
0.993950 | + | 0.109836i | \(0.0350325\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 17.0400 | + | 30.8068i | 0.624298 | + | 1.12867i | ||||
\(746\) | −31.2331 | + | 18.0324i | −1.14352 | + | 0.660214i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −8.67096 | + | 2.32338i | −0.317042 | + | 0.0849511i | ||||
\(749\) | −0.224615 | + | 1.27386i | −0.00820726 | + | 0.0465457i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.15950 | − | 2.96982i | −0.297745 | − | 0.108370i | 0.188828 | − | 0.982010i | \(-0.439531\pi\) |
−0.486573 | + | 0.873640i | \(0.661753\pi\) | |||||||
\(752\) | −101.385 | + | 144.793i | −3.69713 | + | 5.28005i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 27.2833 | − | 32.5150i | 0.993601 | − | 1.18413i | ||||
\(755\) | −0.373658 | − | 2.37309i | −0.0135988 | − | 0.0863657i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 29.4262 | − | 29.4262i | 1.06951 | − | 1.06951i | 0.0721170 | − | 0.997396i | \(-0.477025\pi\) |
0.997396 | − | 0.0721170i | \(-0.0229755\pi\) | |||||||
\(758\) | 74.4088 | − | 6.50993i | 2.70265 | − | 0.236451i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −42.7378 | − | 20.8926i | −1.55026 | − | 0.757854i | ||||
\(761\) | −14.0169 | + | 38.5111i | −0.508112 | + | 1.39603i | 0.375071 | + | 0.926996i | \(0.377618\pi\) |
−0.883183 | + | 0.469029i | \(0.844604\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −10.9674 | + | 7.67948i | −0.397048 | + | 0.278016i | ||||
\(764\) | −54.7283 | + | 94.7922i | −1.98000 | + | 3.42946i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −49.2326 | − | 85.2733i | −1.77884 | − | 3.08105i | ||||
\(767\) | −8.93101 | − | 4.16460i | −0.322480 | − | 0.150375i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.94057 | + | 4.69619i | 0.142100 | + | 0.169349i | 0.832401 | − | 0.554174i | \(-0.186966\pi\) |
−0.690300 | + | 0.723523i | \(0.742521\pi\) | |||||||
\(770\) | 3.01754 | − | 3.46494i | 0.108745 | − | 0.124868i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −43.0641 | + | 92.3513i | −1.54991 | + | 3.32380i | ||||
\(773\) | 9.19044 | + | 2.46257i | 0.330557 | + | 0.0885726i | 0.420281 | − | 0.907394i | \(-0.361932\pi\) |
−0.0897234 | + | 0.995967i | \(0.528598\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.48501 | − | 25.5770i | 0.197027 | − | 0.918752i | ||||
\(776\) | −69.6196 | − | 12.2758i | −2.49920 | − | 0.440676i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 21.2928 | + | 45.6625i | 0.763382 | + | 1.63708i | ||||
\(779\) | 3.07383 | + | 17.4326i | 0.110132 | + | 0.624587i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.82422 | − | 4.88710i | −0.208407 | − | 0.174874i | ||||
\(782\) | 2.69216 | + | 2.69216i | 0.0962714 | + | 0.0962714i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | − | 65.5994i | − | 2.34283i | ||||||
\(785\) | −9.27875 | − | 37.3592i | −0.331173 | − | 1.33341i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.94038 | − | 4.85971i | −0.247398 | − | 0.173230i | 0.443300 | − | 0.896373i | \(-0.353808\pi\) |
−0.690698 | + | 0.723143i | \(0.742697\pi\) | |||||||
\(788\) | −24.6435 | + | 11.4915i | −0.877890 | + | 0.409367i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 19.4986 | − | 18.7955i | 0.693729 | − | 0.668713i | ||||
\(791\) | −2.98847 | − | 1.72539i | −0.106258 | − | 0.0613479i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −6.61207 | + | 24.6766i | −0.234802 | + | 0.876291i | ||||
\(794\) | 77.2406 | − | 28.1133i | 2.74116 | − | 0.997702i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −69.2896 | + | 58.1409i | −2.45591 | + | 2.06075i | ||||
\(797\) | 28.1786 | + | 2.46530i | 0.998136 | + | 0.0873256i | 0.574498 | − | 0.818506i | \(-0.305197\pi\) |
0.423638 | + | 0.905832i | \(0.360753\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −14.3847 | − | 39.5216i | −0.508894 | − | 1.39818i | ||||
\(800\) | 5.32863 | + | 105.327i | 0.188395 | + | 3.72388i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 24.5527 | + | 91.6319i | 0.866986 | + | 3.23564i | ||||
\(803\) | 2.18967 | + | 3.12717i | 0.0772716 | + | 0.110355i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.39751 | − | 0.272962i | −0.0492556 | − | 0.00962063i | ||||
\(806\) | 38.9984 | − | 6.87647i | 1.37366 | − | 0.242213i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −4.73234 | − | 54.0909i | −0.166483 | − | 1.90291i | ||||
\(809\) | −2.28591 | −0.0803683 | −0.0401841 | − | 0.999192i | \(-0.512794\pi\) | ||||
−0.0401841 | + | 0.999192i | \(0.512794\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 21.6606 | 0.760605 | 0.380303 | − | 0.924862i | \(-0.375820\pi\) | ||||
0.380303 | + | 0.924862i | \(0.375820\pi\) | |||||||
\(812\) | −4.19715 | − | 47.9736i | −0.147291 | − | 1.68354i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.91260 | + | 0.337243i | −0.0670367 | + | 0.0118204i | ||||
\(815\) | −6.48756 | + | 4.36737i | −0.227249 | + | 0.152982i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.54964 | − | 2.21311i | −0.0542150 | − | 0.0774270i | ||||
\(818\) | −15.6279 | − | 58.3243i | −0.546418 | − | 2.03926i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 73.3139 | − | 59.2585i | 2.56023 | − | 2.06940i | ||||
\(821\) | −7.91413 | − | 21.7439i | −0.276205 | − | 0.758867i | −0.997784 | − | 0.0665351i | \(-0.978806\pi\) |
0.721579 | − | 0.692332i | \(-0.243417\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −6.50574 | − | 0.569178i | −0.226776 | − | 0.0198403i | −0.0267986 | − | 0.999641i | \(-0.508531\pi\) |
−0.199977 | + | 0.979801i | \(0.564087\pi\) | |||||||
\(824\) | 32.0047 | − | 26.8552i | 1.11494 | − | 0.935544i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −14.3783 | + | 5.23326i | −0.500284 | + | 0.182088i | ||||
\(827\) | −2.39679 | + | 8.94494i | −0.0833445 | + | 0.311046i | −0.994996 | − | 0.0999193i | \(-0.968142\pi\) |
0.911651 | + | 0.410965i | \(0.134808\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −2.45210 | − | 1.41572i | −0.0851648 | − | 0.0491699i | 0.456813 | − | 0.889563i | \(-0.348991\pi\) |
−0.541978 | + | 0.840393i | \(0.682324\pi\) | |||||||
\(830\) | 17.7488 | + | 0.325891i | 0.616071 | + | 0.0113118i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −71.2260 | + | 33.2132i | −2.46932 | + | 1.15146i | ||||
\(833\) | 12.7859 | + | 8.95278i | 0.443005 | + | 0.310195i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 14.2974 | − | 3.55098i | 0.494781 | − | 0.122887i | ||||
\(836\) | 5.89061i | 0.203731i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 9.63173 | + | 9.63173i | 0.332723 | + | 0.332723i | ||||
\(839\) | −32.4518 | − | 27.2303i | −1.12036 | − | 0.940095i | −0.121739 | − | 0.992562i | \(-0.538847\pi\) |
−0.998623 | + | 0.0524668i | \(0.983292\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.424617 | + | 2.40812i | 0.0146420 | + | 0.0830387i | ||||
\(842\) | −15.1760 | − | 32.5451i | −0.523000 | − | 1.12158i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −55.8394 | − | 9.84600i | −1.92207 | − | 0.338913i | ||||
\(845\) | 4.24515 | − | 11.0291i | 0.146038 | − | 0.379413i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 16.4684 | + | 4.41271i | 0.565862 | + | 0.151622i | ||||
\(848\) | −2.39208 | + | 5.12983i | −0.0821443 | + | 0.176159i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −40.0763 | − | 25.1435i | −1.37460 | − | 0.862415i | ||||
\(851\) | 0.386871 | + | 0.461054i | 0.0132618 | + | 0.0158047i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 30.1905 | + | 14.0780i | 1.03370 | + | 0.482023i | 0.864010 | − | 0.503474i | \(-0.167945\pi\) |
0.169691 | + | 0.985497i | \(0.445723\pi\) | |||||||
\(854\) | 19.8339 | + | 34.3532i | 0.678701 | + | 1.17554i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.81582 | + | 6.60919i | −0.130422 | + | 0.225897i | ||||
\(857\) | 25.1791 | − | 17.6306i | 0.860100 | − | 0.602249i | −0.0581240 | − | 0.998309i | \(-0.518512\pi\) |
0.918224 | + | 0.396061i | \(0.129623\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −17.6716 | + | 48.5522i | −0.602946 | + | 1.65658i | 0.142326 | + | 0.989820i | \(0.454542\pi\) |
−0.745272 | + | 0.666760i | \(0.767680\pi\) | |||||||
\(860\) | −6.31891 | + | 12.9259i | −0.215473 | + | 0.440771i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 39.4098 | − | 3.44791i | 1.34230 | − | 0.117436i | ||||
\(863\) | −31.9076 | + | 31.9076i | −1.08615 | + | 1.08615i | −0.0902264 | + | 0.995921i | \(0.528759\pi\) |
−0.995921 | + | 0.0902264i | \(0.971241\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −19.3291 | − | 14.0702i | −0.657209 | − | 0.478401i | ||||
\(866\) | −41.2086 | + | 49.1104i | −1.40032 | + | 1.66884i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 25.7700 | − | 36.8034i | 0.874692 | − | 1.24919i | ||||
\(869\) | −1.98983 | − | 0.724239i | −0.0675003 | − | 0.0245681i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.36968 | − | 36.1243i | 0.215829 | − | 1.22402i | ||||
\(872\) | −76.3015 | + | 20.4449i | −2.58390 | + | 0.692353i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.16363 | − | 1.24917i | 0.0731860 | − | 0.0422539i | ||||
\(875\) | 17.6849 | − | 0.569453i | 0.597858 | − | 0.0192510i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.42618 | − | 39.1615i | 0.115694 | − | 1.32239i | −0.687288 | − | 0.726385i | \(-0.741199\pi\) |
0.802982 | − | 0.596003i | \(-0.203245\pi\) | |||||||
\(878\) | 5.13448 | − | 58.6873i | 0.173280 | − | 1.98060i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 13.6041 | − | 7.52478i | 0.458594 | − | 0.253660i | ||||
\(881\) | 34.0163 | − | 19.6393i | 1.14604 | − | 0.661666i | 0.198120 | − | 0.980178i | \(-0.436516\pi\) |
0.947919 | + | 0.318512i | \(0.103183\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 17.3273 | − | 4.64284i | 0.583111 | − | 0.156244i | 0.0448081 | − | 0.998996i | \(-0.485732\pi\) |
0.538303 | + | 0.842752i | \(0.319066\pi\) | |||||||
\(884\) | 9.08751 | − | 51.5378i | 0.305646 | − | 1.73340i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −30.7381 | − | 11.1878i | −1.03267 | − | 0.375860i | ||||
\(887\) | 9.98188 | − | 14.2556i | 0.335159 | − | 0.478656i | −0.615831 | − | 0.787878i | \(-0.711180\pi\) |
0.950990 | + | 0.309222i | \(0.100069\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.63125 | + | 4.32756i | −0.121788 | + | 0.145142i | ||||
\(890\) | 25.1123 | − | 34.4983i | 0.841766 | − | 1.15639i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −90.0092 | + | 90.0092i | −3.01373 | + | 3.01373i | ||||
\(893\) | −27.4935 | + | 2.40537i | −0.920036 | + | 0.0804927i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 14.0138 | − | 4.81114i | 0.468430 | − | 0.160819i | ||||
\(896\) | −18.9021 | + | 51.9330i | −0.631474 | + | 1.73496i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 67.5821 | − | 47.3215i | 2.25524 | − | 1.57914i | ||||
\(899\) | −14.6687 | + | 25.4069i | −0.489227 | + | 0.847367i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.673386 | − | 1.16634i | −0.0224337 | − | 0.0388564i | ||||
\(902\) | −9.14216 | − | 4.26306i | −0.304401 | − | 0.141944i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −13.0868 | − | 15.5963i | −0.435261 | − | 0.518724i | ||||
\(905\) | −14.7344 | − | 12.8318i | −0.489787 | − | 0.426545i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −8.34207 | + | 17.8896i | −0.276994 | + | 0.594015i | −0.994756 | − | 0.102273i | \(-0.967389\pi\) |
0.717763 | + | 0.696288i | \(0.245166\pi\) | |||||||
\(908\) | 104.923 | + | 28.1141i | 3.48200 | + | 0.932999i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 10.8727 | + | 24.4802i | 0.360427 | + | 0.811510i | ||||
\(911\) | −29.7171 | − | 5.23993i | −0.984571 | − | 0.173606i | −0.341890 | − | 0.939740i | \(-0.611067\pi\) |
−0.642681 | + | 0.766134i | \(0.722178\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.586586 | − | 1.25794i | −0.0194132 | − | 0.0416317i | ||||
\(914\) | −19.6914 | − | 111.676i | −0.651334 | − | 3.69390i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 91.7178 | + | 76.9604i | 3.03044 | + | 2.54284i | ||||
\(917\) | 3.44178 | + | 3.44178i | 0.113658 | + | 0.113658i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 5.90514i | 0.194793i | 0.995246 | + | 0.0973964i | \(0.0310515\pi\) | ||||
−0.995246 | + | 0.0973964i | \(0.968949\pi\) | |||||||
\(920\) | −7.19716 | − | 4.33337i | −0.237283 | − | 0.142867i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −38.5192 | − | 26.9715i | −1.26856 | − | 0.888258i | ||||
\(923\) | 40.1708 | − | 18.7320i | 1.32224 | − | 0.616570i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −5.96481 | − | 4.51177i | −0.196122 | − | 0.148346i | ||||
\(926\) | −38.9006 | − | 22.4592i | −1.27835 | − | 0.738057i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 30.6126 | − | 114.248i | 1.00491 | − | 3.75036i | ||||
\(929\) | −6.36097 | + | 2.31520i | −0.208697 | + | 0.0759593i | −0.444253 | − | 0.895901i | \(-0.646531\pi\) |
0.235557 | + | 0.971861i | \(0.424309\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 7.84617 | − | 6.58371i | 0.257148 | − | 0.215773i | ||||
\(932\) | 100.942 | + | 8.83124i | 3.30645 | + | 0.289277i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 3.70965 | + | 10.1922i | 0.121383 | + | 0.333498i | ||||
\(935\) | −0.389997 | + | 3.67852i | −0.0127543 | + | 0.120300i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1.63137 | − | 6.08835i | −0.0532945 | − | 0.198898i | 0.934145 | − | 0.356892i | \(-0.116164\pi\) |
−0.987440 | + | 0.157995i | \(0.949497\pi\) | |||||||
\(938\) | −32.6689 | − | 46.6560i | −1.06668 | − | 1.52337i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 82.0766 | + | 121.922i | 2.67704 | + | 3.97664i | ||||
\(941\) | −26.7793 | + | 4.72192i | −0.872981 | + | 0.153930i | −0.592151 | − | 0.805827i | \(-0.701721\pi\) |
−0.280831 | + | 0.959757i | \(0.590610\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.272455 | + | 3.11417i | 0.00887234 | + | 0.101411i | ||||
\(944\) | −51.7720 | −1.68504 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.53958 | 0.0500560 | ||||||||
\(947\) | 4.20583 | + | 48.0728i | 0.136671 | + | 1.56216i | 0.686656 | + | 0.726982i | \(0.259078\pi\) |
−0.549985 | + | 0.835174i | \(0.685367\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −21.9174 | + | 3.86463i | −0.711469 | + | 0.125451i | ||||
\(950\) | −22.7435 | + | 21.1317i | −0.737895 | + | 0.685603i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −29.4297 | − | 42.0300i | −0.953822 | − | 1.36220i | ||||
\(953\) | 5.07394 | + | 18.9362i | 0.164361 | + | 0.613404i | 0.998121 | + | 0.0612767i | \(0.0195172\pi\) |
−0.833760 | + | 0.552128i | \(0.813816\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 28.3533 | + | 35.0784i | 0.917492 | + | 1.13511i | ||||
\(956\) | 36.2153 | + | 99.5008i | 1.17129 | + | 3.21809i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 3.84959 | + | 0.336795i | 0.124375 | + | 0.0108814i | ||||
\(959\) | −2.51823 | + | 2.11305i | −0.0813180 | + | 0.0682339i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.41043 | − | 1.24130i | 0.110014 | − | 0.0400418i | ||||
\(962\) | 2.93036 | − | 10.9362i | 0.0944785 | − | 0.352599i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 23.1268 | + | 13.3523i | 0.744865 | + | 0.430048i | ||||
\(965\) | 29.1412 | + | 30.2314i | 0.938088 | + | 0.973182i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.93769 | + | 1.83617i | −0.126628 | + | 0.0590474i | −0.484900 | − | 0.874570i | \(-0.661144\pi\) |
0.358272 | + | 0.933617i | \(0.383366\pi\) | |||||||
\(968\) | 82.3990 | + | 57.6964i | 2.64841 | + | 1.85443i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −23.7972 | + | 39.5240i | −0.764082 | + | 1.26904i | ||||
\(971\) | 17.3753i | 0.557601i | 0.960349 | + | 0.278800i | \(0.0899367\pi\) | ||||
−0.960349 | + | 0.278800i | \(0.910063\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −17.2740 | − | 17.2740i | −0.553779 | − | 0.553779i | ||||
\(974\) | 17.5070 | + | 14.6901i | 0.560960 | + | 0.470701i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 23.3068 | + | 132.179i | 0.746031 | + | 4.23095i | ||||
\(977\) | 10.2242 | + | 21.9259i | 0.327101 | + | 0.701470i | 0.999241 | − | 0.0389538i | \(-0.0124025\pi\) |
−0.672140 | + | 0.740424i | \(0.734625\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.28563 | − | 0.579345i | −0.105009 | − | 0.0185159i | ||||
\(980\) | −50.9048 | − | 19.5935i | −1.62610 | − | 0.625890i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −70.5563 | − | 18.9055i | −2.25154 | − | 0.603299i | ||||
\(983\) | 10.2662 | − | 22.0159i | 0.327441 | − | 0.702199i | −0.671817 | − | 0.740717i | \(-0.734486\pi\) |
0.999258 | + | 0.0385180i | \(0.0122637\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.771481 | + | 11.1782i | 0.0245814 | + | 0.356167i | ||||
\(986\) | 34.1063 | + | 40.6463i | 1.08617 | + | 1.29444i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −31.1234 | − | 14.5131i | −0.990168 | − | 0.461723i | ||||
\(989\) | −0.238560 | − | 0.413197i | −0.00758575 | − | 0.0131389i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −18.0498 | + | 31.2632i | −0.573372 | + | 0.993110i | 0.422844 | + | 0.906202i | \(0.361032\pi\) |
−0.996216 | + | 0.0869073i | \(0.972302\pi\) | |||||||
\(992\) | 90.3927 | − | 63.2936i | 2.86997 | − | 2.00957i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 23.5387 | − | 64.6720i | 0.746602 | − | 2.05127i | ||||
\(995\) | 12.1029 | + | 35.2530i | 0.383687 | + | 1.11760i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 19.8840 | − | 1.73962i | 0.629732 | − | 0.0550944i | 0.232178 | − | 0.972673i | \(-0.425415\pi\) |
0.397554 | + | 0.917579i | \(0.369859\pi\) | |||||||
\(998\) | −21.5721 | + | 21.5721i | −0.682854 | + | 0.682854i | ||||
\(999\) | 0 | 0 |
(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 | 405.2.r.a.278.1 | 192 | ||
3.2 | odd | 2 | 135.2.q.a.38.16 | yes | 192 | ||
5.2 | odd | 4 | inner | 405.2.r.a.197.16 | 192 | ||
15.2 | even | 4 | 135.2.q.a.92.1 | yes | 192 | ||
15.8 | even | 4 | 675.2.ba.b.632.16 | 192 | |||
15.14 | odd | 2 | 675.2.ba.b.443.1 | 192 | |||
27.5 | odd | 18 | inner | 405.2.r.a.368.16 | 192 | ||
27.22 | even | 9 | 135.2.q.a.113.1 | yes | 192 | ||
135.22 | odd | 36 | 135.2.q.a.32.16 | ✓ | 192 | ||
135.32 | even | 36 | inner | 405.2.r.a.287.1 | 192 | ||
135.49 | even | 18 | 675.2.ba.b.518.16 | 192 | |||
135.103 | odd | 36 | 675.2.ba.b.32.1 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.32.16 | ✓ | 192 | 135.22 | odd | 36 | ||
135.2.q.a.38.16 | yes | 192 | 3.2 | odd | 2 | ||
135.2.q.a.92.1 | yes | 192 | 15.2 | even | 4 | ||
135.2.q.a.113.1 | yes | 192 | 27.22 | even | 9 | ||
405.2.r.a.197.16 | 192 | 5.2 | odd | 4 | inner | ||
405.2.r.a.278.1 | 192 | 1.1 | even | 1 | trivial | ||
405.2.r.a.287.1 | 192 | 135.32 | even | 36 | inner | ||
405.2.r.a.368.16 | 192 | 27.5 | odd | 18 | inner | ||
675.2.ba.b.32.1 | 192 | 135.103 | odd | 36 | |||
675.2.ba.b.443.1 | 192 | 15.14 | odd | 2 | |||
675.2.ba.b.518.16 | 192 | 135.49 | even | 18 | |||
675.2.ba.b.632.16 | 192 | 15.8 | even | 4 |