Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,3,Mod(19,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.j (of order \(18\), degree \(6\), 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: | \(8.82836056527\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 108) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 199.8 | ||
Character | \(\chi\) | \(=\) | 324.199 |
Dual form | 324.3.j.a.127.8 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.47013 | − | 1.35599i | −0.735067 | − | 0.677994i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.322594 | + | 3.98697i | 0.0806484 | + | 0.996743i | ||||
\(5\) | −9.22169 | + | 3.35642i | −1.84434 | + | 0.671284i | −0.856426 | + | 0.516270i | \(0.827320\pi\) |
−0.987912 | + | 0.155014i | \(0.950458\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.51251 | + | 0.795677i | −0.644644 | + | 0.113668i | −0.486406 | − | 0.873733i | \(-0.661692\pi\) |
−0.158238 | + | 0.987401i | \(0.550581\pi\) | |||||||
\(8\) | 4.93203 | − | 6.29882i | 0.616503 | − | 0.787352i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 18.1084 | + | 7.57011i | 1.81084 | + | 0.757011i | ||||
\(11\) | −2.67518 | + | 7.34999i | −0.243198 | + | 0.668181i | 0.756698 | + | 0.653765i | \(0.226811\pi\) |
−0.999896 | + | 0.0144166i | \(0.995411\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.33182 | − | 4.47393i | −0.410140 | − | 0.344149i | 0.414257 | − | 0.910160i | \(-0.364041\pi\) |
−0.824397 | + | 0.566011i | \(0.808486\pi\) | |||||||
\(14\) | 7.71292 | + | 4.94915i | 0.550923 | + | 0.353511i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −15.7919 | + | 2.57234i | −0.986992 | + | 0.160771i | ||||
\(17\) | 7.51307 | − | 13.0130i | 0.441945 | − | 0.765471i | −0.555889 | − | 0.831257i | \(-0.687622\pi\) |
0.997834 | + | 0.0657853i | \(0.0209553\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 18.4333 | − | 10.6425i | 0.970173 | − | 0.560129i | 0.0708838 | − | 0.997485i | \(-0.477418\pi\) |
0.899289 | + | 0.437355i | \(0.144085\pi\) | |||||||
\(20\) | −16.3568 | − | 35.6838i | −0.817840 | − | 1.78419i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 13.8994 | − | 7.17797i | 0.631790 | − | 0.326271i | ||||
\(23\) | 16.6774 | + | 2.94067i | 0.725104 | + | 0.127855i | 0.524005 | − | 0.851715i | \(-0.324437\pi\) |
0.201099 | + | 0.979571i | \(0.435549\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 54.6229 | − | 45.8341i | 2.18492 | − | 1.83336i | ||||
\(26\) | 1.77190 | + | 13.8072i | 0.0681501 | + | 0.531045i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.62805 | − | 17.7346i | −0.165287 | − | 0.633377i | ||||
\(29\) | −14.8391 | + | 12.4515i | −0.511692 | + | 0.429361i | −0.861724 | − | 0.507377i | \(-0.830615\pi\) |
0.350032 | + | 0.936738i | \(0.386171\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 14.8493 | + | 2.61834i | 0.479011 | + | 0.0844625i | 0.407940 | − | 0.913009i | \(-0.366247\pi\) |
0.0710708 | + | 0.997471i | \(0.477358\pi\) | |||||||
\(32\) | 26.7042 | + | 17.6319i | 0.834507 | + | 0.550997i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −28.6907 | + | 8.94326i | −0.843844 | + | 0.263037i | ||||
\(35\) | 38.9423 | − | 22.4834i | 1.11264 | − | 0.642382i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −14.9619 | + | 25.9148i | −0.404376 | + | 0.700399i | −0.994249 | − | 0.107097i | \(-0.965844\pi\) |
0.589873 | + | 0.807496i | \(0.299178\pi\) | |||||||
\(38\) | −41.5305 | − | 9.34945i | −1.09291 | − | 0.246038i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −24.3401 | + | 74.6397i | −0.608504 | + | 1.86599i | ||||
\(41\) | −29.3512 | − | 24.6286i | −0.715884 | − | 0.600698i | 0.210360 | − | 0.977624i | \(-0.432537\pi\) |
−0.926243 | + | 0.376926i | \(0.876981\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 14.2890 | − | 39.2588i | 0.332303 | − | 0.912995i | −0.655208 | − | 0.755448i | \(-0.727419\pi\) |
0.987511 | − | 0.157547i | \(-0.0503586\pi\) | |||||||
\(44\) | −30.1672 | − | 8.29480i | −0.685618 | − | 0.188518i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −20.5305 | − | 26.9375i | −0.446315 | − | 0.585598i | ||||
\(47\) | 60.2645 | − | 10.6263i | 1.28222 | − | 0.226090i | 0.509299 | − | 0.860589i | \(-0.329905\pi\) |
0.772924 | + | 0.634499i | \(0.218794\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −26.3153 | + | 9.57799i | −0.537047 | + | 0.195469i | ||||
\(50\) | −142.453 | − | 6.68575i | −2.84907 | − | 0.133715i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 16.1174 | − | 22.7011i | 0.309950 | − | 0.436559i | ||||
\(53\) | 24.8870 | 0.469565 | 0.234783 | − | 0.972048i | \(-0.424562\pi\) | ||||
0.234783 | + | 0.972048i | \(0.424562\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 76.7584i | − | 1.39561i | ||||||
\(56\) | −17.2440 | + | 32.3478i | −0.307928 | + | 0.577639i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 38.6995 | + | 1.81628i | 0.667232 | + | 0.0313151i | ||||
\(59\) | −31.1472 | − | 85.5763i | −0.527919 | − | 1.45045i | −0.861516 | − | 0.507730i | \(-0.830485\pi\) |
0.333598 | − | 0.942716i | \(-0.391737\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.84636 | + | 27.4850i | 0.0794484 | + | 0.450575i | 0.998417 | + | 0.0562438i | \(0.0179124\pi\) |
−0.918969 | + | 0.394331i | \(0.870976\pi\) | |||||||
\(62\) | −18.2801 | − | 23.9848i | −0.294840 | − | 0.386852i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −15.3502 | − | 62.1319i | −0.239847 | − | 0.970811i | ||||
\(65\) | 64.1848 | + | 23.3614i | 0.987459 | + | 0.359406i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −25.2305 | + | 30.0686i | −0.376575 | + | 0.448785i | −0.920730 | − | 0.390200i | \(-0.872406\pi\) |
0.544155 | + | 0.838985i | \(0.316850\pi\) | |||||||
\(68\) | 54.3062 | + | 25.7565i | 0.798620 | + | 0.378771i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −87.7376 | − | 19.7517i | −1.25339 | − | 0.282168i | ||||
\(71\) | 34.2911 | + | 19.7980i | 0.482973 | + | 0.278845i | 0.721655 | − | 0.692253i | \(-0.243382\pi\) |
−0.238682 | + | 0.971098i | \(0.576715\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −41.3131 | − | 71.5564i | −0.565933 | − | 0.980225i | −0.996962 | − | 0.0778868i | \(-0.975183\pi\) |
0.431029 | − | 0.902338i | \(-0.358151\pi\) | |||||||
\(74\) | 57.1361 | − | 17.8100i | 0.772110 | − | 0.240676i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 48.3776 | + | 70.0598i | 0.636548 | + | 0.921839i | ||||
\(77\) | 6.22354 | − | 35.2955i | 0.0808252 | − | 0.458383i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.3986 | − | 12.3926i | −0.131628 | − | 0.156869i | 0.696204 | − | 0.717844i | \(-0.254871\pi\) |
−0.827833 | + | 0.560975i | \(0.810426\pi\) | |||||||
\(80\) | 136.994 | − | 76.7255i | 1.71242 | − | 0.959069i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 9.75418 | + | 76.0073i | 0.118953 | + | 0.926918i | ||||
\(83\) | 55.6540 | + | 66.3258i | 0.670530 | + | 0.799106i | 0.988856 | − | 0.148875i | \(-0.0475652\pi\) |
−0.318326 | + | 0.947981i | \(0.603121\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −25.6060 | + | 145.219i | −0.301247 | + | 1.70846i | ||||
\(86\) | −74.2413 | + | 38.3400i | −0.863270 | + | 0.445814i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 33.1022 | + | 53.1008i | 0.376161 | + | 0.603418i | ||||
\(89\) | 5.93712 | + | 10.2834i | 0.0667092 | + | 0.115544i | 0.897451 | − | 0.441114i | \(-0.145417\pi\) |
−0.830742 | + | 0.556658i | \(0.812083\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 27.6197 | + | 15.9462i | 0.303513 | + | 0.175233i | ||||
\(92\) | −6.34436 | + | 67.4409i | −0.0689605 | + | 0.733053i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −103.006 | − | 66.0959i | −1.09581 | − | 0.703148i | ||||
\(95\) | −134.265 | + | 160.011i | −1.41332 | + | 1.68433i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 47.7745 | + | 17.3885i | 0.492521 | + | 0.179263i | 0.576327 | − | 0.817219i | \(-0.304486\pi\) |
−0.0838064 | + | 0.996482i | \(0.526708\pi\) | |||||||
\(98\) | 51.6747 | + | 21.6023i | 0.527293 | + | 0.220432i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 200.360 | + | 202.994i | 2.00360 | + | 2.02994i | ||||
\(101\) | −0.442867 | − | 2.51162i | −0.00438482 | − | 0.0248676i | 0.982537 | − | 0.186068i | \(-0.0595745\pi\) |
−0.986922 | + | 0.161201i | \(0.948463\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −20.9977 | − | 57.6906i | −0.203861 | − | 0.560103i | 0.795061 | − | 0.606530i | \(-0.207439\pi\) |
−0.998922 | + | 0.0464265i | \(0.985217\pi\) | |||||||
\(104\) | −54.4772 | + | 11.5186i | −0.523819 | + | 0.110756i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −36.5872 | − | 33.7464i | −0.345162 | − | 0.318362i | ||||
\(107\) | − | 122.605i | − | 1.14584i | −0.819612 | − | 0.572919i | \(-0.805811\pi\) | ||
0.819612 | − | 0.572919i | \(-0.194189\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −37.9855 | −0.348491 | −0.174245 | − | 0.984702i | \(-0.555749\pi\) | ||||
−0.174245 | + | 0.984702i | \(0.555749\pi\) | |||||||
\(110\) | −104.083 | + | 112.845i | −0.946213 | + | 1.02587i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 69.2142 | − | 24.1729i | 0.617984 | − | 0.215830i | ||||
\(113\) | 102.206 | − | 37.2000i | 0.904480 | − | 0.329204i | 0.152433 | − | 0.988314i | \(-0.451289\pi\) |
0.752047 | + | 0.659110i | \(0.229067\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −163.664 | + | 28.8584i | −1.42316 | + | 0.250942i | ||||
\(116\) | −54.4306 | − | 55.1462i | −0.469229 | − | 0.475398i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −70.2498 | + | 168.044i | −0.595337 | + | 1.42410i | ||||
\(119\) | −23.5486 | + | 64.6993i | −0.197888 | + | 0.543692i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 45.8256 | + | 38.4522i | 0.378724 | + | 0.317787i | ||||
\(122\) | 30.1446 | − | 46.9783i | 0.247087 | − | 0.385068i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.64894 | + | 60.0485i | −0.0455559 | + | 0.484262i | ||||
\(125\) | −227.208 | + | 393.536i | −1.81766 | + | 3.14829i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 159.542 | − | 92.1119i | 1.25624 | − | 0.725290i | 0.283898 | − | 0.958854i | \(-0.408372\pi\) |
0.972341 | + | 0.233564i | \(0.0750388\pi\) | |||||||
\(128\) | −61.6832 | + | 112.157i | −0.481900 | + | 0.876226i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −62.6826 | − | 121.378i | −0.482174 | − | 0.933678i | ||||
\(131\) | 198.290 | + | 34.9638i | 1.51366 | + | 0.266900i | 0.867939 | − | 0.496671i | \(-0.165445\pi\) |
0.645724 | + | 0.763571i | \(0.276556\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −74.7123 | + | 62.6911i | −0.561747 | + | 0.471362i | ||||
\(134\) | 77.8649 | − | 9.99257i | 0.581082 | − | 0.0745714i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −44.9119 | − | 111.504i | −0.330235 | − | 0.819882i | ||||
\(137\) | 88.9077 | − | 74.6024i | 0.648961 | − | 0.544543i | −0.257794 | − | 0.966200i | \(-0.582996\pi\) |
0.906756 | + | 0.421657i | \(0.138551\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 163.809 | + | 28.8839i | 1.17848 | + | 0.207798i | 0.728376 | − | 0.685177i | \(-0.240275\pi\) |
0.450105 | + | 0.892975i | \(0.351386\pi\) | |||||||
\(140\) | 102.203 | + | 148.009i | 0.730022 | + | 1.05721i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −23.5667 | − | 75.6040i | −0.165963 | − | 0.532422i | ||||
\(143\) | 47.1469 | − | 27.2203i | 0.329699 | − | 0.190352i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 95.0490 | − | 164.630i | 0.655510 | − | 1.13538i | ||||
\(146\) | −36.2938 | + | 161.218i | −0.248588 | + | 1.10423i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −108.148 | − | 51.2927i | −0.730730 | − | 0.346572i | ||||
\(149\) | −69.6965 | − | 58.4823i | −0.467762 | − | 0.392499i | 0.378216 | − | 0.925718i | \(-0.376538\pi\) |
−0.845977 | + | 0.533219i | \(0.820982\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.83574 | − | 24.2760i | 0.0585148 | − | 0.160768i | −0.906991 | − | 0.421151i | \(-0.861626\pi\) |
0.965506 | + | 0.260382i | \(0.0838486\pi\) | |||||||
\(152\) | 23.8785 | − | 168.597i | 0.157096 | − | 1.10919i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −57.0097 | + | 43.4501i | −0.370193 | + | 0.282143i | ||||
\(155\) | −145.724 | + | 25.6951i | −0.940156 | + | 0.165775i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −11.4347 | + | 4.16190i | −0.0728326 | + | 0.0265089i | −0.378180 | − | 0.925732i | \(-0.623450\pi\) |
0.305347 | + | 0.952241i | \(0.401228\pi\) | |||||||
\(158\) | −1.51683 | + | 32.3193i | −0.00960022 | + | 0.204552i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −305.438 | − | 72.9652i | −1.90899 | − | 0.456032i | ||||
\(161\) | −77.5967 | −0.481967 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 187.452i | 1.15001i | 0.818148 | + | 0.575007i | \(0.195001\pi\) | ||||
−0.818148 | + | 0.575007i | \(0.804999\pi\) | |||||||
\(164\) | 88.7250 | − | 124.968i | 0.541006 | − | 0.761997i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.11816 | − | 172.974i | 0.0489046 | − | 1.04201i | ||||
\(167\) | −71.8589 | − | 197.431i | −0.430293 | − | 1.18222i | −0.945634 | − | 0.325234i | \(-0.894557\pi\) |
0.515341 | − | 0.856985i | \(-0.327665\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −20.9343 | − | 118.724i | −0.123871 | − | 0.702509i | ||||
\(170\) | 234.560 | − | 178.770i | 1.37976 | − | 1.05159i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 161.133 | + | 44.3053i | 0.936821 | + | 0.257589i | ||||
\(173\) | 158.665 | + | 57.7495i | 0.917141 | + | 0.333812i | 0.757100 | − | 0.653298i | \(-0.226615\pi\) |
0.160040 | + | 0.987110i | \(0.448838\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −210.017 | + | 250.289i | −1.20010 | + | 1.43022i | ||||
\(176\) | 23.3394 | − | 122.952i | 0.132610 | − | 0.698588i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 5.21579 | − | 23.1686i | 0.0293022 | − | 0.130161i | ||||
\(179\) | −273.877 | − | 158.123i | −1.53004 | − | 0.883370i | −0.999359 | − | 0.0357989i | \(-0.988602\pi\) |
−0.530682 | − | 0.847571i | \(-0.678064\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −78.2492 | − | 135.532i | −0.432316 | − | 0.748793i | 0.564757 | − | 0.825258i | \(-0.308970\pi\) |
−0.997072 | + | 0.0764647i | \(0.975637\pi\) | |||||||
\(182\) | −18.9818 | − | 60.8951i | −0.104295 | − | 0.334588i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 100.776 | − | 90.5444i | 0.547696 | − | 0.492089i | ||||
\(185\) | 50.9931 | − | 289.196i | 0.275638 | − | 1.56322i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 75.5468 | + | 90.0331i | 0.403993 | + | 0.481461i | ||||
\(188\) | 61.8075 | + | 236.845i | 0.328763 | + | 1.25981i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 414.362 | − | 53.1759i | 2.18085 | − | 0.279873i | ||||
\(191\) | −53.6600 | − | 63.9495i | −0.280942 | − | 0.334814i | 0.607057 | − | 0.794658i | \(-0.292350\pi\) |
−0.888000 | + | 0.459844i | \(0.847905\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.5935 | + | 65.7498i | −0.0600698 | + | 0.340673i | −1.00000 | 0.000694602i | \(-0.999779\pi\) | |
0.939930 | + | 0.341367i | \(0.110890\pi\) | |||||||
\(194\) | −46.6564 | − | 90.3451i | −0.240497 | − | 0.465696i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −46.6763 | − | 101.829i | −0.238145 | − | 0.519534i | ||||
\(197\) | −138.831 | − | 240.462i | −0.704725 | − | 1.22062i | −0.966791 | − | 0.255570i | \(-0.917737\pi\) |
0.262065 | − | 0.965050i | \(-0.415596\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −62.7025 | − | 36.2013i | −0.315088 | − | 0.181916i | 0.334113 | − | 0.942533i | \(-0.391563\pi\) |
−0.649201 | + | 0.760617i | \(0.724897\pi\) | |||||||
\(200\) | −19.2987 | − | 570.114i | −0.0964935 | − | 2.85057i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.75466 | + | 4.29295i | −0.0136369 | + | 0.0212522i | ||||
\(203\) | 57.0541 | − | 67.9944i | 0.281054 | − | 0.334948i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 353.332 | + | 128.602i | 1.72357 | + | 0.627328i | ||||
\(206\) | −47.3584 | + | 113.286i | −0.229895 | + | 0.549930i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 95.7079 | + | 56.9365i | 0.460134 | + | 0.273733i | ||||
\(209\) | 28.9097 | + | 163.955i | 0.138324 | + | 0.784473i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.151632 | − | 0.416605i | −0.000718634 | − | 0.00197443i | 0.939333 | − | 0.343007i | \(-0.111446\pi\) |
−0.940051 | + | 0.341033i | \(0.889223\pi\) | |||||||
\(212\) | 8.02837 | + | 99.2236i | 0.0378697 | + | 0.468036i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −166.250 | + | 180.245i | −0.776871 | + | 0.842268i | ||||
\(215\) | 409.992i | 1.90694i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −69.0911 | −0.318392 | ||||||||
\(218\) | 55.8438 | + | 51.5079i | 0.256164 | + | 0.236275i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 306.033 | − | 24.7618i | 1.39106 | − | 0.112553i | ||||
\(221\) | −98.2777 | + | 35.7702i | −0.444695 | + | 0.161856i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −25.9540 | + | 4.57639i | −0.116386 | + | 0.0205219i | −0.231538 | − | 0.972826i | \(-0.574376\pi\) |
0.115152 | + | 0.993348i | \(0.463265\pi\) | |||||||
\(224\) | −134.532 | − | 58.3161i | −0.600591 | − | 0.260340i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −200.700 | − | 83.9014i | −0.888052 | − | 0.371245i | ||||
\(227\) | −5.75679 | + | 15.8167i | −0.0253603 | + | 0.0696769i | −0.951727 | − | 0.306947i | \(-0.900693\pi\) |
0.926366 | + | 0.376623i | \(0.122915\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −196.606 | − | 164.972i | −0.858542 | − | 0.720403i | 0.103111 | − | 0.994670i | \(-0.467120\pi\) |
−0.961654 | + | 0.274267i | \(0.911565\pi\) | |||||||
\(230\) | 279.740 | + | 179.501i | 1.21626 | + | 0.780437i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 5.24276 | + | 154.880i | 0.0225981 | + | 0.667584i | ||||
\(233\) | −8.54082 | + | 14.7931i | −0.0366559 | + | 0.0634899i | −0.883771 | − | 0.467919i | \(-0.845004\pi\) |
0.847115 | + | 0.531409i | \(0.178337\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −520.074 | + | 300.265i | −2.21308 | + | 1.27772i | ||||
\(236\) | 331.142 | − | 151.789i | 1.40314 | − | 0.643175i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 122.351 | − | 63.1850i | 0.514080 | − | 0.265483i | ||||
\(239\) | −304.381 | − | 53.6706i | −1.27356 | − | 0.224563i | −0.504318 | − | 0.863518i | \(-0.668256\pi\) |
−0.769244 | + | 0.638955i | \(0.779367\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 203.062 | − | 170.389i | 0.842580 | − | 0.707009i | −0.115563 | − | 0.993300i | \(-0.536867\pi\) |
0.958143 | + | 0.286292i | \(0.0924226\pi\) | |||||||
\(242\) | −15.2290 | − | 118.669i | −0.0629299 | − | 0.490367i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −108.019 | + | 28.1888i | −0.442699 | + | 0.115528i | ||||
\(245\) | 210.524 | − | 176.651i | 0.859281 | − | 0.721023i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −145.897 | − | 25.7255i | −0.590675 | − | 0.104152i | ||||
\(248\) | 89.7298 | − | 80.6195i | 0.361814 | − | 0.325079i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 867.657 | − | 270.460i | 3.47063 | − | 1.08184i | ||||
\(251\) | −184.422 | + | 106.476i | −0.734748 | + | 0.424207i | −0.820156 | − | 0.572139i | \(-0.806114\pi\) |
0.0854089 | + | 0.996346i | \(0.472780\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −66.2289 | + | 114.712i | −0.261774 | + | 0.453407i | ||||
\(254\) | −359.452 | − | 80.9207i | −1.41516 | − | 0.318586i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 242.766 | − | 81.2442i | 0.948305 | − | 0.317360i | ||||
\(257\) | −345.413 | − | 289.836i | −1.34402 | − | 1.12776i | −0.980574 | − | 0.196149i | \(-0.937156\pi\) |
−0.363444 | − | 0.931616i | \(-0.618399\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 46.8959 | − | 128.845i | 0.181065 | − | 0.497472i | ||||
\(260\) | −72.4355 | + | 263.439i | −0.278598 | + | 1.01323i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −244.102 | − | 320.280i | −0.931688 | − | 1.22244i | ||||
\(263\) | −19.1179 | + | 3.37100i | −0.0726916 | + | 0.0128175i | −0.209876 | − | 0.977728i | \(-0.567306\pi\) |
0.137184 | + | 0.990546i | \(0.456195\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −229.500 | + | 83.5311i | −0.866037 | + | 0.315212i | ||||
\(266\) | 194.846 | + | 9.14466i | 0.732502 | + | 0.0343784i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −128.022 | − | 90.8935i | −0.477693 | − | 0.339155i | ||||
\(269\) | 421.021 | 1.56513 | 0.782567 | − | 0.622567i | \(-0.213910\pi\) | ||||
0.782567 | + | 0.622567i | \(0.213910\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 213.999i | − | 0.789665i | −0.918753 | − | 0.394833i | \(-0.870803\pi\) | ||
0.918753 | − | 0.394833i | \(-0.129197\pi\) | |||||||
\(272\) | −85.1714 | + | 224.826i | −0.313130 | + | 0.826566i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −231.866 | − | 10.8821i | −0.846227 | − | 0.0397159i | ||||
\(275\) | 190.754 | + | 524.092i | 0.693651 | + | 1.90579i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −19.4010 | − | 110.028i | −0.0700396 | − | 0.397214i | −0.999593 | − | 0.0285268i | \(-0.990918\pi\) |
0.929553 | − | 0.368687i | \(-0.120193\pi\) | |||||||
\(278\) | −201.655 | − | 264.586i | −0.725378 | − | 0.951749i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 50.4460 | − | 356.179i | 0.180164 | − | 1.27207i | ||||
\(281\) | −47.4594 | − | 17.2738i | −0.168895 | − | 0.0614727i | 0.256189 | − | 0.966627i | \(-0.417533\pi\) |
−0.425084 | + | 0.905154i | \(0.639755\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 323.295 | − | 385.288i | 1.14238 | − | 1.36144i | 0.219847 | − | 0.975534i | \(-0.429444\pi\) |
0.922538 | − | 0.385907i | \(-0.126111\pi\) | |||||||
\(284\) | −67.8718 | + | 143.104i | −0.238985 | + | 0.503888i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −106.223 | − | 23.9132i | −0.371408 | − | 0.0836125i | ||||
\(287\) | 152.044 | + | 87.7827i | 0.529770 | + | 0.305863i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 31.6076 | + | 54.7461i | 0.109369 | + | 0.189433i | ||||
\(290\) | −362.971 | + | 113.143i | −1.25162 | + | 0.390147i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 271.966 | − | 187.798i | 0.931390 | − | 0.643143i | ||||
\(293\) | −19.6082 | + | 111.204i | −0.0669222 | + | 0.379535i | 0.932890 | + | 0.360161i | \(0.117278\pi\) |
−0.999812 | + | 0.0193737i | \(0.993833\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 574.460 | + | 684.615i | 1.94732 | + | 2.32073i | ||||
\(296\) | 89.4399 | + | 222.055i | 0.302162 | + | 0.750184i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 23.1620 | + | 180.485i | 0.0777247 | + | 0.605653i | ||||
\(299\) | −75.7645 | − | 90.2927i | −0.253393 | − | 0.301982i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −33.2421 | + | 188.525i | −0.110439 | + | 0.626329i | ||||
\(302\) | −45.9077 | + | 23.7078i | −0.152012 | + | 0.0785028i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −263.720 | + | 215.481i | −0.867500 | + | 0.708819i | ||||
\(305\) | −136.943 | − | 237.192i | −0.448993 | − | 0.777679i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 268.474 | + | 155.003i | 0.874507 | + | 0.504897i | 0.868843 | − | 0.495087i | \(-0.164864\pi\) |
0.00566388 | + | 0.999984i | \(0.498197\pi\) | |||||||
\(308\) | 142.730 | + | 13.4270i | 0.463408 | + | 0.0435941i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 249.076 | + | 159.825i | 0.803472 | + | 0.515564i | ||||
\(311\) | 275.480 | − | 328.304i | 0.885786 | − | 1.05564i | −0.112292 | − | 0.993675i | \(-0.535819\pi\) |
0.998078 | − | 0.0619638i | \(-0.0197363\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 56.7914 | + | 20.6704i | 0.181442 | + | 0.0660395i | 0.431144 | − | 0.902283i | \(-0.358110\pi\) |
−0.249701 | + | 0.968323i | \(0.580332\pi\) | |||||||
\(314\) | 22.4541 | + | 9.38679i | 0.0715097 | + | 0.0298942i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 46.0545 | − | 45.4569i | 0.145742 | − | 0.143851i | ||||
\(317\) | 56.8344 | + | 322.324i | 0.179288 | + | 1.01680i | 0.933077 | + | 0.359678i | \(0.117113\pi\) |
−0.753788 | + | 0.657117i | \(0.771776\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −51.8210 | − | 142.377i | −0.162448 | − | 0.446323i | ||||
\(320\) | 350.096 | + | 521.439i | 1.09405 | + | 1.62950i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 114.078 | + | 105.220i | 0.354278 | + | 0.326771i | ||||
\(323\) | − | 319.830i | − | 0.990186i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −496.298 | −1.52707 | ||||||||
\(326\) | 254.183 | − | 275.580i | 0.779703 | − | 0.845338i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −299.892 | + | 63.4091i | −0.914305 | + | 0.193320i | ||||
\(329\) | −263.489 | + | 95.9021i | −0.800878 | + | 0.291496i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −270.454 | + | 47.6883i | −0.817081 | + | 0.144073i | −0.566542 | − | 0.824033i | \(-0.691719\pi\) |
−0.250539 | + | 0.968107i | \(0.580608\pi\) | |||||||
\(332\) | −246.485 | + | 243.287i | −0.742426 | + | 0.732792i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −162.071 | + | 387.689i | −0.485243 | + | 1.16075i | ||||
\(335\) | 131.745 | − | 361.967i | 0.393270 | − | 1.08050i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 439.240 | + | 368.567i | 1.30338 | + | 1.09367i | 0.989550 | + | 0.144191i | \(0.0460581\pi\) |
0.313834 | + | 0.949478i | \(0.398386\pi\) | |||||||
\(338\) | −130.212 | + | 202.927i | −0.385243 | + | 0.600376i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −587.244 | − | 55.2438i | −1.72719 | − | 0.162482i | ||||
\(341\) | −58.9694 | + | 102.138i | −0.172931 | + | 0.299525i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 305.570 | − | 176.421i | 0.890876 | − | 0.514347i | ||||
\(344\) | −176.810 | − | 283.629i | −0.513983 | − | 0.824504i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −154.952 | − | 300.048i | −0.447838 | − | 0.867190i | ||||
\(347\) | 18.5984 | + | 3.27941i | 0.0535978 | + | 0.00945074i | 0.200383 | − | 0.979718i | \(-0.435781\pi\) |
−0.146785 | + | 0.989168i | \(0.546893\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 39.3809 | − | 33.0445i | 0.112839 | − | 0.0946834i | −0.584622 | − | 0.811306i | \(-0.698757\pi\) |
0.697462 | + | 0.716622i | \(0.254313\pi\) | |||||||
\(350\) | 648.142 | − | 83.1774i | 1.85183 | − | 0.237650i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −201.033 | + | 149.107i | −0.571116 | + | 0.423601i | ||||
\(353\) | −192.526 | + | 161.549i | −0.545400 | + | 0.457645i | −0.873380 | − | 0.487040i | \(-0.838077\pi\) |
0.327980 | + | 0.944685i | \(0.393632\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −382.672 | − | 67.4754i | −1.07795 | − | 0.190072i | ||||
\(356\) | −39.0843 | + | 26.9885i | −0.109787 | + | 0.0758103i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 188.224 | + | 603.837i | 0.525764 | + | 1.68670i | ||||
\(359\) | 32.9975 | − | 19.0511i | 0.0919150 | − | 0.0530671i | −0.453338 | − | 0.891339i | \(-0.649767\pi\) |
0.545253 | + | 0.838272i | \(0.316434\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 46.0239 | − | 79.7157i | 0.127490 | − | 0.220819i | ||||
\(362\) | −68.7423 | + | 305.355i | −0.189896 | + | 0.843521i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −54.6672 | + | 115.263i | −0.150185 | + | 0.316657i | ||||
\(365\) | 621.150 | + | 521.207i | 1.70178 | + | 1.42796i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 111.793 | − | 307.148i | 0.304612 | − | 0.836915i | −0.689071 | − | 0.724694i | \(-0.741981\pi\) |
0.993683 | − | 0.112222i | \(-0.0357966\pi\) | |||||||
\(368\) | −270.932 | − | 3.53878i | −0.736227 | − | 0.00961626i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −467.113 | + | 356.012i | −1.26247 | + | 0.962193i | ||||
\(371\) | −112.303 | + | 19.8020i | −0.302702 | + | 0.0533746i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 168.707 | − | 61.4042i | 0.452297 | − | 0.164623i | −0.105819 | − | 0.994385i | \(-0.533747\pi\) |
0.558116 | + | 0.829763i | \(0.311524\pi\) | |||||||
\(374\) | 11.0199 | − | 234.801i | 0.0294650 | − | 0.627811i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 230.293 | − | 432.004i | 0.612482 | − | 1.14895i | ||||
\(377\) | 134.826 | 0.357629 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 361.411i | 0.953590i | 0.879014 | + | 0.476795i | \(0.158202\pi\) | ||||
−0.879014 | + | 0.476795i | \(0.841798\pi\) | |||||||
\(380\) | −681.273 | − | 483.694i | −1.79282 | − | 1.27288i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −7.82731 | + | 166.777i | −0.0204903 | + | 0.436588i | ||||
\(383\) | 119.450 | + | 328.187i | 0.311880 | + | 0.856884i | 0.992277 | + | 0.124040i | \(0.0395853\pi\) |
−0.680397 | + | 0.732844i | \(0.738193\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 61.0749 | + | 346.373i | 0.158636 | + | 0.899669i | ||||
\(386\) | 106.200 | − | 80.9405i | 0.275129 | − | 0.209690i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −53.9157 | + | 196.085i | −0.138958 | + | 0.505373i | ||||
\(389\) | 0.536764 | + | 0.195366i | 0.00137986 | + | 0.000502227i | 0.342710 | − | 0.939441i | \(-0.388655\pi\) |
−0.341330 | + | 0.939943i | \(0.610877\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 163.565 | − | 194.930i | 0.418326 | − | 0.498541i | ||||
\(392\) | −69.4579 | + | 212.994i | −0.177188 | + | 0.543353i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −121.964 | + | 541.765i | −0.309552 | + | 1.37504i | ||||
\(395\) | 137.488 | + | 79.3787i | 0.348071 | + | 0.200959i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.92090 | − | 15.4515i | −0.0224708 | − | 0.0389206i | 0.854571 | − | 0.519334i | \(-0.173820\pi\) |
−0.877042 | + | 0.480413i | \(0.840487\pi\) | |||||||
\(398\) | 43.0926 | + | 138.245i | 0.108273 | + | 0.347348i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −744.697 | + | 864.314i | −1.86174 | + | 2.16079i | ||||
\(401\) | −67.6511 | + | 383.668i | −0.168706 | + | 0.956779i | 0.776455 | + | 0.630173i | \(0.217016\pi\) |
−0.945161 | + | 0.326606i | \(0.894095\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −67.4598 | − | 80.3954i | −0.167394 | − | 0.199492i | ||||
\(404\) | 9.87090 | − | 2.57593i | 0.0244329 | − | 0.00637607i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −176.077 | + | 22.5963i | −0.433687 | + | 0.0556559i | ||||
\(407\) | −150.448 | − | 179.296i | −0.369650 | − | 0.440532i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 84.5691 | − | 479.615i | 0.206770 | − | 1.17265i | −0.687859 | − | 0.725844i | \(-0.741449\pi\) |
0.894629 | − | 0.446809i | \(-0.147440\pi\) | |||||||
\(410\) | −345.062 | − | 668.176i | −0.841616 | − | 1.62970i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 223.237 | − | 102.328i | 0.541838 | − | 0.248368i | ||||
\(413\) | 208.643 | + | 361.380i | 0.505189 | + | 0.875013i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −735.841 | − | 424.838i | −1.77311 | − | 1.02371i | ||||
\(416\) | −63.4984 | − | 213.483i | −0.152640 | − | 0.513180i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 179.820 | − | 280.237i | 0.430191 | − | 0.670424i | ||||
\(419\) | 358.205 | − | 426.892i | 0.854905 | − | 1.01884i | −0.144664 | − | 0.989481i | \(-0.546210\pi\) |
0.999569 | − | 0.0293551i | \(-0.00934536\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −693.894 | − | 252.557i | −1.64821 | − | 0.599898i | −0.659760 | − | 0.751476i | \(-0.729342\pi\) |
−0.988445 | + | 0.151579i | \(0.951564\pi\) | |||||||
\(422\) | −0.341992 | + | 0.818076i | −0.000810407 | + | 0.00193857i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 122.743 | − | 156.758i | 0.289489 | − | 0.369713i | ||||
\(425\) | −186.054 | − | 1055.16i | −0.437773 | − | 2.48274i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −43.7384 | − | 120.170i | −0.102432 | − | 0.281429i | ||||
\(428\) | 488.821 | − | 39.5515i | 1.14210 | − | 0.0924099i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 555.945 | − | 602.744i | 1.29289 | − | 1.40173i | ||||
\(431\) | 623.656i | 1.44700i | 0.690326 | + | 0.723499i | \(0.257467\pi\) | ||||
−0.690326 | + | 0.723499i | \(0.742533\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 533.046 | 1.23105 | 0.615527 | − | 0.788116i | \(-0.288943\pi\) | ||||
0.615527 | + | 0.788116i | \(0.288943\pi\) | |||||||
\(434\) | 101.573 | + | 93.6867i | 0.234040 | + | 0.215868i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −12.2539 | − | 151.447i | −0.0281052 | − | 0.347356i | ||||
\(437\) | 338.715 | − | 123.282i | 0.775092 | − | 0.282110i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −491.828 | + | 86.7226i | −1.12034 | + | 0.197546i | −0.702989 | − | 0.711201i | \(-0.748152\pi\) |
−0.417349 | + | 0.908746i | \(0.637041\pi\) | |||||||
\(440\) | −483.487 | − | 378.574i | −1.09883 | − | 0.860396i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 192.985 | + | 80.6764i | 0.436618 | + | 0.182526i | ||||
\(443\) | −3.57129 | + | 9.81203i | −0.00806159 | + | 0.0221490i | −0.943658 | − | 0.330922i | \(-0.892640\pi\) |
0.935597 | + | 0.353071i | \(0.114863\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −89.2656 | − | 74.9028i | −0.200597 | − | 0.168321i | ||||
\(446\) | 44.3614 | + | 28.4654i | 0.0994650 | + | 0.0638237i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 118.705 | + | 268.157i | 0.264966 | + | 0.598564i | ||||
\(449\) | −182.013 | + | 315.257i | −0.405375 | + | 0.702131i | −0.994365 | − | 0.106010i | \(-0.966192\pi\) |
0.588990 | + | 0.808140i | \(0.299526\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 259.540 | − | 149.845i | 0.575476 | − | 0.332251i | ||||
\(452\) | 181.287 | + | 395.493i | 0.401076 | + | 0.874984i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 29.9105 | − | 15.4465i | 0.0658821 | − | 0.0340231i | ||||
\(455\) | −308.223 | − | 54.3480i | −0.677412 | − | 0.119446i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −193.083 | + | 162.016i | −0.422502 | + | 0.354521i | −0.829114 | − | 0.559080i | \(-0.811155\pi\) |
0.406612 | + | 0.913601i | \(0.366710\pi\) | |||||||
\(458\) | 65.3374 | + | 509.127i | 0.142658 | + | 1.11163i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −167.854 | − | 643.214i | −0.364901 | − | 1.39829i | ||||
\(461\) | −210.415 | + | 176.559i | −0.456432 | + | 0.382992i | −0.841816 | − | 0.539764i | \(-0.818513\pi\) |
0.385384 | + | 0.922756i | \(0.374069\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −23.3623 | − | 4.11941i | −0.0504586 | − | 0.00889720i | 0.148362 | − | 0.988933i | \(-0.452600\pi\) |
−0.198820 | + | 0.980036i | \(0.563711\pi\) | |||||||
\(464\) | 202.307 | − | 234.803i | 0.436007 | − | 0.506041i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 32.6155 | − | 10.1667i | 0.0699903 | − | 0.0218169i | ||||
\(467\) | −7.22269 | + | 4.17002i | −0.0154661 | + | 0.00892939i | −0.507713 | − | 0.861526i | \(-0.669509\pi\) |
0.492247 | + | 0.870456i | \(0.336176\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 89.9281 | − | 155.760i | 0.191744 | − | 0.332111i | ||||
\(470\) | 1171.73 | + | 263.784i | 2.49305 | + | 0.561243i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −692.648 | − | 225.874i | −1.46748 | − | 0.478546i | ||||
\(473\) | 250.326 | + | 210.049i | 0.529231 | + | 0.444077i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 519.092 | − | 1426.19i | 1.09283 | − | 3.00251i | ||||
\(476\) | −265.551 | − | 73.0161i | −0.557880 | − | 0.153395i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 374.705 | + | 491.640i | 0.783901 | + | 1.02854i | ||||
\(479\) | 464.091 | − | 81.8317i | 0.968874 | − | 0.170839i | 0.333251 | − | 0.942838i | \(-0.391854\pi\) |
0.635623 | + | 0.772000i | \(0.280743\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 195.715 | − | 71.2345i | 0.406892 | − | 0.148097i | ||||
\(482\) | −529.574 | − | 24.8544i | −1.09870 | − | 0.0515651i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −138.525 | + | 195.110i | −0.286208 | + | 0.403119i | ||||
\(485\) | −498.925 | −1.02871 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 218.971i | − | 0.449633i | −0.974401 | − | 0.224817i | \(-0.927822\pi\) | ||
0.974401 | − | 0.224817i | \(-0.0721783\pi\) | |||||||
\(488\) | 197.026 | + | 105.031i | 0.403741 | + | 0.215227i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −549.035 | − | 25.7678i | −1.12048 | − | 0.0525873i | ||||
\(491\) | 41.7305 | + | 114.654i | 0.0849908 | + | 0.233510i | 0.974906 | − | 0.222615i | \(-0.0714592\pi\) |
−0.889916 | + | 0.456125i | \(0.849237\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 50.5441 | + | 286.650i | 0.102523 | + | 0.581439i | ||||
\(494\) | 179.604 | + | 235.654i | 0.363571 | + | 0.477032i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −241.234 | − | 3.15089i | −0.486359 | − | 0.00635259i | ||||
\(497\) | −170.491 | − | 62.0538i | −0.343041 | − | 0.124857i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −18.9123 | + | 22.5388i | −0.0379004 | + | 0.0451680i | −0.784662 | − | 0.619924i | \(-0.787163\pi\) |
0.746761 | + | 0.665092i | \(0.231608\pi\) | |||||||
\(500\) | −1642.31 | − | 778.920i | −3.28462 | − | 1.55784i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 415.505 | + | 93.5396i | 0.827699 | + | 0.186334i | ||||
\(503\) | −100.859 | − | 58.2311i | −0.200515 | − | 0.115768i | 0.396381 | − | 0.918086i | \(-0.370266\pi\) |
−0.596896 | + | 0.802319i | \(0.703599\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 12.5140 | + | 21.6750i | 0.0247803 | + | 0.0429207i | ||||
\(506\) | 252.913 | − | 78.8363i | 0.499829 | − | 0.155803i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 418.715 | + | 606.376i | 0.824242 | + | 1.19365i | ||||
\(509\) | 10.6160 | − | 60.2066i | 0.0208567 | − | 0.118284i | −0.972602 | − | 0.232477i | \(-0.925317\pi\) |
0.993459 | + | 0.114193i | \(0.0364281\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 243.361 | + | 290.027i | 0.476246 | + | 0.567567i | ||||
\(512\) | −467.065 | − | 209.748i | −0.912236 | − | 0.409664i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 114.790 | + | 894.473i | 0.223326 | + | 1.74022i | ||||
\(515\) | 387.268 | + | 461.528i | 0.751977 | + | 0.896171i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −83.1153 | + | 471.371i | −0.160765 | + | 0.911742i | ||||
\(518\) | −243.656 | + | 125.830i | −0.470378 | + | 0.242915i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 463.710 | − | 289.070i | 0.891751 | − | 0.555903i | ||||
\(521\) | −364.846 | − | 631.931i | −0.700280 | − | 1.21292i | −0.968368 | − | 0.249526i | \(-0.919725\pi\) |
0.268089 | − | 0.963394i | \(-0.413608\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 318.052 | + | 183.627i | 0.608130 | + | 0.351104i | 0.772233 | − | 0.635339i | \(-0.219140\pi\) |
−0.164103 | + | 0.986443i | \(0.552473\pi\) | |||||||
\(524\) | −75.4328 | + | 801.855i | −0.143956 | + | 1.53026i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 32.6769 | + | 20.9678i | 0.0621235 | + | 0.0398628i | ||||
\(527\) | 145.636 | − | 173.563i | 0.276350 | − | 0.329341i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −227.610 | − | 82.8431i | −0.430264 | − | 0.156603i | ||||
\(530\) | 450.663 | + | 188.397i | 0.850307 | + | 0.355466i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −274.049 | − | 277.652i | −0.515130 | − | 0.521903i | ||||
\(533\) | 46.3089 | + | 262.631i | 0.0868835 | + | 0.492741i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 411.513 | + | 1130.62i | 0.769182 | + | 2.11331i | ||||
\(536\) | 64.9588 | + | 307.222i | 0.121192 | + | 0.573175i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −618.958 | − | 570.899i | −1.15048 | − | 1.06115i | ||||
\(539\) | − | 219.040i | − | 0.406383i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 504.486 | 0.932507 | 0.466254 | − | 0.884651i | \(-0.345603\pi\) | ||||
0.466254 | + | 0.884651i | \(0.345603\pi\) | |||||||
\(542\) | −290.180 | + | 314.608i | −0.535388 | + | 0.580457i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 430.075 | − | 215.033i | 0.790579 | − | 0.395281i | ||||
\(545\) | 350.291 | − | 127.495i | 0.642735 | − | 0.233936i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 74.2886 | − | 13.0991i | 0.135811 | − | 0.0239472i | −0.105329 | − | 0.994437i | \(-0.533590\pi\) |
0.241140 | + | 0.970490i | \(0.422479\pi\) | |||||||
\(548\) | 326.119 | + | 330.406i | 0.595107 | + | 0.602931i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 430.229 | − | 1029.15i | 0.782234 | − | 1.87117i | ||||
\(551\) | −141.019 | + | 387.445i | −0.255932 | + | 0.703168i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 56.7845 | + | 47.6478i | 0.102684 | + | 0.0861624i | ||||
\(554\) | −120.675 | + | 188.064i | −0.217825 | + | 0.339466i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −62.3157 | + | 662.419i | −0.112079 | + | 1.19140i | ||||
\(557\) | 366.474 | − | 634.751i | 0.657942 | − | 1.13959i | −0.323206 | − | 0.946329i | \(-0.604761\pi\) |
0.981148 | − | 0.193260i | \(-0.0619061\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −251.828 | + | 145.393i | −0.450497 | + | 0.260095i | ||||
\(560\) | −557.137 | + | 455.227i | −0.994887 | + | 0.812906i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 46.3487 | + | 89.7493i | 0.0824710 | + | 0.159696i | ||||
\(563\) | 329.585 | + | 58.1147i | 0.585408 | + | 0.103223i | 0.458505 | − | 0.888692i | \(-0.348385\pi\) |
0.126903 | + | 0.991915i | \(0.459496\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −817.655 | + | 686.094i | −1.44718 | + | 1.21433i | ||||
\(566\) | −997.733 | + | 128.041i | −1.76278 | + | 0.226221i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 293.828 | − | 118.349i | 0.517303 | − | 0.208361i | ||||
\(569\) | 115.616 | − | 97.0135i | 0.203192 | − | 0.170498i | −0.535513 | − | 0.844527i | \(-0.679882\pi\) |
0.738705 | + | 0.674028i | \(0.235437\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 538.586 | + | 94.9673i | 0.943234 | + | 0.166318i | 0.624058 | − | 0.781378i | \(-0.285483\pi\) |
0.319176 | + | 0.947696i | \(0.396594\pi\) | |||||||
\(572\) | 123.736 | + | 179.192i | 0.216321 | + | 0.313273i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −104.493 | − | 335.222i | −0.182044 | − | 0.584011i | ||||
\(575\) | 1045.75 | − | 603.764i | 1.81870 | − | 1.05002i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −177.054 | + | 306.667i | −0.306853 | + | 0.531485i | −0.977672 | − | 0.210136i | \(-0.932609\pi\) |
0.670819 | + | 0.741621i | \(0.265943\pi\) | |||||||
\(578\) | 27.7675 | − | 123.344i | 0.0480406 | − | 0.213397i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 687.036 | + | 325.849i | 1.18454 | + | 0.561808i | ||||
\(581\) | −303.913 | − | 255.013i | −0.523086 | − | 0.438921i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −66.5771 | + | 182.919i | −0.114197 | + | 0.313755i | ||||
\(584\) | −654.478 | − | 92.6944i | −1.12068 | − | 0.158723i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 179.618 | − | 136.896i | 0.306515 | − | 0.233611i | ||||
\(587\) | 729.661 | − | 128.659i | 1.24303 | − | 0.219180i | 0.486818 | − | 0.873503i | \(-0.338157\pi\) |
0.756215 | + | 0.654323i | \(0.227046\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 301.587 | − | 109.769i | 0.512033 | − | 0.186365i | ||||
\(590\) | 83.7956 | − | 1785.44i | 0.142026 | − | 3.02616i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 169.615 | − | 447.730i | 0.286511 | − | 0.756300i | ||||
\(593\) | 912.777 | 1.53925 | 0.769626 | − | 0.638495i | \(-0.220443\pi\) | ||||
0.769626 | + | 0.638495i | \(0.220443\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 675.676i | − | 1.13559i | ||||||
\(596\) | 210.684 | − | 296.744i | 0.353496 | − | 0.497893i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −11.0517 | + | 235.478i | −0.0184810 | + | 0.393776i | ||||
\(599\) | −241.563 | − | 663.689i | −0.403277 | − | 1.10799i | −0.960657 | − | 0.277737i | \(-0.910416\pi\) |
0.557380 | − | 0.830257i | \(-0.311807\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −113.073 | − | 641.270i | −0.188142 | − | 1.06701i | −0.921852 | − | 0.387543i | \(-0.873324\pi\) |
0.733710 | − | 0.679463i | \(-0.237787\pi\) | |||||||
\(602\) | 304.508 | − | 232.081i | 0.505827 | − | 0.385517i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 99.6380 | + | 27.3966i | 0.164964 | + | 0.0453585i | ||||
\(605\) | −551.651 | − | 200.785i | −0.911820 | − | 0.331875i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 260.988 | − | 311.033i | 0.429963 | − | 0.512410i | −0.506948 | − | 0.861976i | \(-0.669227\pi\) |
0.936912 | + | 0.349566i | \(0.113671\pi\) | |||||||
\(608\) | 679.893 | + | 40.8148i | 1.11825 | + | 0.0671296i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −120.305 | + | 534.398i | −0.197221 | + | 0.876061i | ||||
\(611\) | −368.861 | − | 212.962i | −0.603700 | − | 0.348546i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 453.001 | + | 784.621i | 0.738990 | + | 1.27997i | 0.952950 | + | 0.303126i | \(0.0980303\pi\) |
−0.213960 | + | 0.976842i | \(0.568636\pi\) | |||||||
\(614\) | −184.510 | − | 591.923i | −0.300505 | − | 0.964044i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −191.625 | − | 213.279i | −0.311080 | − | 0.346232i | ||||
\(617\) | 70.9099 | − | 402.150i | 0.114927 | − | 0.651783i | −0.871859 | − | 0.489756i | \(-0.837086\pi\) |
0.986786 | − | 0.162027i | \(-0.0518031\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 327.110 | + | 389.834i | 0.528448 | + | 0.629780i | 0.962557 | − | 0.271080i | \(-0.0873809\pi\) |
−0.434108 | + | 0.900861i | \(0.642936\pi\) | |||||||
\(620\) | −149.455 | − | 572.709i | −0.241057 | − | 0.923724i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −850.168 | + | 109.104i | −1.36683 | + | 0.175408i | ||||
\(623\) | −34.9735 | − | 41.6798i | −0.0561373 | − | 0.0669018i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 464.820 | − | 2636.13i | 0.743712 | − | 4.21780i | ||||
\(626\) | −55.4622 | − | 107.397i | −0.0885978 | − | 0.171560i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −20.2821 | − | 44.2473i | −0.0322964 | − | 0.0704574i | ||||
\(629\) | 224.819 | + | 389.399i | 0.357424 | + | 0.619076i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1083.33 | + | 625.458i | 1.71684 | + | 0.991218i | 0.924540 | + | 0.381086i | \(0.124450\pi\) |
0.792300 | + | 0.610132i | \(0.208884\pi\) | |||||||
\(632\) | −129.345 | + | 4.37841i | −0.204660 | + | 0.00692786i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 353.513 | − | 550.927i | 0.557592 | − | 0.868969i | ||||
\(635\) | −1162.08 | + | 1384.92i | −1.83005 | + | 2.18097i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 183.160 | + | 66.6648i | 0.287535 | + | 0.104654i | ||||
\(638\) | −116.878 | + | 279.582i | −0.183194 | + | 0.438216i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 192.378 | − | 1241.31i | 0.300590 | − | 1.93955i | ||||
\(641\) | 5.31127 | + | 30.1217i | 0.00828592 | + | 0.0469918i | 0.988670 | − | 0.150103i | \(-0.0479605\pi\) |
−0.980384 | + | 0.197095i | \(0.936849\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −249.775 | − | 686.251i | −0.388453 | − | 1.06726i | −0.967698 | − | 0.252112i | \(-0.918875\pi\) |
0.579246 | − | 0.815153i | \(-0.303347\pi\) | |||||||
\(644\) | −25.0322 | − | 309.376i | −0.0388699 | − | 0.480397i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −433.686 | + | 470.193i | −0.671340 | + | 0.727853i | ||||
\(647\) | − | 1180.60i | − | 1.82472i | −0.409385 | − | 0.912362i | \(-0.634257\pi\) | ||
0.409385 | − | 0.912362i | \(-0.365743\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 712.309 | 1.09755 | ||||||||
\(650\) | 729.625 | + | 672.974i | 1.12250 | + | 1.03534i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −747.367 | + | 60.4709i | −1.14627 | + | 0.0927468i | ||||
\(653\) | −878.642 | + | 319.800i | −1.34555 | + | 0.489739i | −0.911555 | − | 0.411178i | \(-0.865118\pi\) |
−0.433992 | + | 0.900917i | \(0.642895\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1945.92 | + | 343.118i | −2.97087 | + | 0.523845i | ||||
\(656\) | 526.864 | + | 313.430i | 0.803146 | + | 0.477790i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 517.406 | + | 216.299i | 0.786332 | + | 0.328721i | ||||
\(659\) | −90.2708 | + | 248.017i | −0.136982 | + | 0.376354i | −0.989149 | − | 0.146915i | \(-0.953065\pi\) |
0.852168 | + | 0.523269i | \(0.175288\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −857.449 | − | 719.486i | −1.29720 | − | 1.08848i | −0.990621 | − | 0.136635i | \(-0.956371\pi\) |
−0.306579 | − | 0.951845i | \(-0.599184\pi\) | |||||||
\(662\) | 462.268 | + | 296.624i | 0.698290 | + | 0.448072i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 692.261 | − | 23.4334i | 1.04256 | − | 0.0352913i | ||||
\(665\) | 478.556 | − | 828.884i | 0.719634 | − | 1.24644i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −284.093 | + | 164.021i | −0.425926 | + | 0.245908i | ||||
\(668\) | 763.969 | − | 350.189i | 1.14367 | − | 0.524235i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −684.507 | + | 353.496i | −1.02165 | + | 0.527606i | ||||
\(671\) | −214.980 | − | 37.9067i | −0.320387 | − | 0.0564929i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 155.205 | − | 130.232i | 0.230616 | − | 0.193510i | −0.520156 | − | 0.854071i | \(-0.674126\pi\) |
0.750772 | + | 0.660561i | \(0.229682\pi\) | |||||||
\(674\) | −145.971 | − | 1137.45i | −0.216574 | − | 1.68761i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 466.596 | − | 121.764i | 0.690231 | − | 0.180124i | ||||
\(677\) | −945.200 | + | 793.117i | −1.39616 | + | 1.17152i | −0.433387 | + | 0.901208i | \(0.642682\pi\) |
−0.962773 | + | 0.270310i | \(0.912874\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −229.418 | − | 40.4526i | −0.337877 | − | 0.0595768i | ||||
\(680\) | 788.418 | + | 877.512i | 1.15944 | + | 1.29046i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 225.191 | − | 70.1948i | 0.330192 | − | 0.102925i | ||||
\(683\) | −831.903 | + | 480.300i | −1.21801 | + | 0.703220i | −0.964493 | − | 0.264110i | \(-0.914922\pi\) |
−0.253521 | + | 0.967330i | \(0.581589\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −569.482 | + | 986.372i | −0.831361 | + | 1.43996i | ||||
\(686\) | −688.455 | − | 154.987i | −1.00358 | − | 0.225928i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −124.663 | + | 656.726i | −0.181197 | + | 0.954544i | ||||
\(689\) | −132.693 | − | 111.343i | −0.192588 | − | 0.161600i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −229.573 | + | 630.745i | −0.332232 | + | 0.912801i | 0.655298 | + | 0.755371i | \(0.272543\pi\) |
−0.987530 | + | 0.157430i | \(0.949679\pi\) | |||||||
\(692\) | −179.061 | + | 651.224i | −0.258759 | + | 0.941075i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −22.8954 | − | 30.0404i | −0.0329905 | − | 0.0432859i | ||||
\(695\) | −1607.54 | + | 283.453i | −2.31301 | + | 0.407846i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −541.010 | + | 196.912i | −0.776198 | + | 0.282513i | ||||
\(698\) | −102.703 | − | 4.82016i | −0.147139 | − | 0.00690567i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1065.64 | − | 756.591i | −1.52235 | − | 1.08084i | ||||
\(701\) | 83.2481 | 0.118756 | 0.0593781 | − | 0.998236i | \(-0.481088\pi\) | ||||
0.0593781 | + | 0.998236i | \(0.481088\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 636.925i | 0.906011i | ||||||||
\(704\) | 497.733 | + | 53.3900i | 0.707008 | + | 0.0758381i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 502.097 | + | 23.5649i | 0.711186 | + | 0.0333780i | ||||
\(707\) | 3.99688 | + | 10.9813i | 0.00565330 | + | 0.0155323i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −158.003 | − | 896.078i | −0.222853 | − | 1.26386i | −0.866748 | − | 0.498747i | \(-0.833794\pi\) |
0.643895 | − | 0.765114i | \(-0.277317\pi\) | |||||||
\(710\) | 471.084 | + | 618.096i | 0.663498 | + | 0.870558i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 94.0552 | + | 13.3211i | 0.132100 | + | 0.0187095i | ||||
\(713\) | 239.948 | + | 87.3341i | 0.336534 | + | 0.122488i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −343.412 | + | 409.262i | −0.480296 | + | 0.572395i | ||||
\(716\) | 542.081 | − | 1142.95i | 0.757097 | − | 1.59630i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −74.3438 | − | 16.7365i | −0.103543 | − | 0.0233099i | ||||
\(719\) | 826.808 | + | 477.358i | 1.14994 | + | 0.663919i | 0.948873 | − | 0.315658i | \(-0.102225\pi\) |
0.201069 | + | 0.979577i | \(0.435558\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 140.655 | + | 243.622i | 0.195084 | + | 0.337895i | ||||
\(722\) | −175.755 | + | 54.7850i | −0.243428 | + | 0.0758795i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 515.117 | − | 355.699i | 0.711488 | − | 0.491296i | ||||
\(725\) | −239.852 | + | 1360.27i | −0.330831 | + | 1.87623i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −713.696 | − | 850.550i | −0.981700 | − | 1.16994i | −0.985452 | − | 0.169951i | \(-0.945639\pi\) |
0.00375251 | − | 0.999993i | \(-0.498806\pi\) | |||||||
\(728\) | 236.664 | − | 95.3241i | 0.325087 | − | 0.130940i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −206.424 | − | 1608.52i | −0.282773 | − | 2.20345i | ||||
\(731\) | −403.521 | − | 480.897i | −0.552012 | − | 0.657862i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −229.498 | + | 1301.55i | −0.313094 | + | 1.77565i | 0.269618 | + | 0.962967i | \(0.413103\pi\) |
−0.582712 | + | 0.812678i | \(0.698009\pi\) | |||||||
\(734\) | −580.839 | + | 299.959i | −0.791334 | + | 0.408664i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 393.507 | + | 372.582i | 0.534657 | + | 0.506226i | ||||
\(737\) | −153.508 | − | 265.883i | −0.208287 | − | 0.360764i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1070.82 | − | 618.236i | −1.44901 | − | 0.836585i | −0.450585 | − | 0.892734i | \(-0.648785\pi\) |
−0.998422 | + | 0.0561488i | \(0.982118\pi\) | |||||||
\(740\) | 1169.47 | + | 110.015i | 1.58036 | + | 0.148669i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 191.951 | + | 123.169i | 0.258694 | + | 0.165996i | ||||
\(743\) | −213.265 | + | 254.159i | −0.287032 | + | 0.342071i | −0.890223 | − | 0.455526i | \(-0.849451\pi\) |
0.603191 | + | 0.797597i | \(0.293896\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 839.011 | + | 305.375i | 1.12619 | + | 0.409899i | ||||
\(746\) | −331.285 | − | 138.492i | −0.444082 | − | 0.185646i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −334.588 | + | 330.247i | −0.447311 | + | 0.441506i | ||||
\(749\) | 97.5536 | + | 553.254i | 0.130245 | + | 0.738657i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 339.987 | + | 934.108i | 0.452713 | + | 1.24382i | 0.930807 | + | 0.365510i | \(0.119105\pi\) |
−0.478095 | + | 0.878308i | \(0.658672\pi\) | |||||||
\(752\) | −924.354 | + | 322.829i | −1.22919 | + | 0.429294i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −198.213 | − | 182.823i | −0.262882 | − | 0.242471i | ||||
\(755\) | 253.522i | 0.335791i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 260.196 | 0.343720 | 0.171860 | − | 0.985121i | \(-0.445022\pi\) | ||||
0.171860 | + | 0.985121i | \(0.445022\pi\) | |||||||
\(758\) | 490.068 | − | 531.322i | 0.646528 | − | 0.700953i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 345.681 | + | 1634.89i | 0.454844 | + | 2.15118i | ||||
\(761\) | 274.656 | − | 99.9667i | 0.360915 | − | 0.131362i | −0.155197 | − | 0.987884i | \(-0.549601\pi\) |
0.516112 | + | 0.856521i | \(0.327379\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 171.410 | − | 30.2242i | 0.224653 | − | 0.0396123i | ||||
\(764\) | 237.654 | − | 234.571i | 0.311066 | − | 0.307030i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 269.409 | − | 644.452i | 0.351709 | − | 0.841321i | ||||
\(767\) | −216.791 | + | 595.628i | −0.282648 | + | 0.776569i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 163.739 | + | 137.394i | 0.212925 | + | 0.178665i | 0.743012 | − | 0.669278i | \(-0.233396\pi\) |
−0.530087 | + | 0.847943i | \(0.677841\pi\) | |||||||
\(770\) | 379.889 | − | 592.031i | 0.493362 | − | 0.768872i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −265.883 | − | 25.0124i | −0.344408 | − | 0.0323994i | ||||
\(773\) | 365.228 | − | 632.593i | 0.472481 | − | 0.818361i | −0.527023 | − | 0.849851i | \(-0.676692\pi\) |
0.999504 | + | 0.0314897i | \(0.0100251\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 931.123 | − | 537.584i | 1.20145 | − | 0.693657i | ||||
\(776\) | 345.152 | − | 215.162i | 0.444784 | − | 0.277271i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.524202 | − | 1.01506i | −0.000673781 | − | 0.00130471i | ||||
\(779\) | −803.148 | − | 141.617i | −1.03100 | − | 0.181793i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −237.250 | + | 199.076i | −0.303777 | + | 0.254899i | ||||
\(782\) | −504.785 | + | 64.7802i | −0.645506 | + | 0.0828391i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 390.930 | − | 218.946i | 0.498635 | − | 0.279268i | ||||
\(785\) | 91.4783 | − | 76.7594i | 0.116533 | − | 0.0977827i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1246.33 | − | 219.761i | −1.58364 | − | 0.279239i | −0.688573 | − | 0.725167i | \(-0.741762\pi\) |
−0.895068 | + | 0.445929i | \(0.852873\pi\) | |||||||
\(788\) | 913.929 | − | 631.086i | 1.15981 | − | 0.800871i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −94.4893 | − | 303.129i | −0.119607 | − | 0.383708i | ||||
\(791\) | −431.607 | + | 249.189i | −0.545648 | + | 0.315030i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 97.1263 | − | 168.228i | 0.122480 | − | 0.212141i | ||||
\(794\) | −7.83706 | + | 34.8124i | −0.00987035 | + | 0.0438443i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 124.106 | − | 261.671i | 0.155912 | − | 0.328733i | ||||
\(797\) | 233.897 | + | 196.263i | 0.293472 | + | 0.246252i | 0.777621 | − | 0.628734i | \(-0.216426\pi\) |
−0.484149 | + | 0.874985i | \(0.660871\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 314.491 | − | 864.058i | 0.393606 | − | 1.08142i | ||||
\(800\) | 2266.80 | − | 260.859i | 2.83350 | − | 0.326073i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 619.706 | − | 472.310i | 0.772700 | − | 0.588915i | ||||
\(803\) | 636.459 | − | 112.225i | 0.792601 | − | 0.139757i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 715.572 | − | 260.447i | 0.888910 | − | 0.323537i | ||||
\(806\) | −9.84026 | + | 209.667i | −0.0122088 | + | 0.260132i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −18.0045 | − | 9.59786i | −0.0222828 | − | 0.0118785i | ||||
\(809\) | −63.8675 | −0.0789462 | −0.0394731 | − | 0.999221i | \(-0.512568\pi\) | ||||
−0.0394731 | + | 0.999221i | \(0.512568\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 856.788i | 1.05646i | 0.849102 | + | 0.528229i | \(0.177144\pi\) | ||||
−0.849102 | + | 0.528229i | \(0.822856\pi\) | |||||||
\(812\) | 289.497 | + | 205.538i | 0.356523 | + | 0.253126i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −21.9456 | + | 467.595i | −0.0269601 | + | 0.574441i | ||||
\(815\) | −629.169 | − | 1728.63i | −0.771986 | − | 2.12102i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −154.416 | − | 875.739i | −0.189004 | − | 1.07190i | ||||
\(818\) | −774.680 | + | 590.424i | −0.947042 | + | 0.721790i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −398.751 | + | 1450.21i | −0.486282 | + | 1.76855i | ||||
\(821\) | −630.914 | − | 229.634i | −0.768470 | − | 0.279700i | −0.0721137 | − | 0.997396i | \(-0.522974\pi\) |
−0.696356 | + | 0.717696i | \(0.745197\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −806.094 | + | 960.665i | −0.979458 | + | 1.16727i | 0.00644958 | + | 0.999979i | \(0.497947\pi\) |
−0.985907 | + | 0.167293i | \(0.946497\pi\) | |||||||
\(824\) | −466.944 | − | 152.271i | −0.566680 | − | 0.184795i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 183.294 | − | 814.195i | 0.221906 | − | 0.985709i | ||||
\(827\) | 228.269 | + | 131.791i | 0.276020 | + | 0.159360i | 0.631620 | − | 0.775278i | \(-0.282390\pi\) |
−0.355600 | + | 0.934638i | \(0.615724\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 252.751 | + | 437.777i | 0.304886 | + | 0.528078i | 0.977236 | − | 0.212155i | \(-0.0680483\pi\) |
−0.672350 | + | 0.740234i | \(0.734715\pi\) | |||||||
\(830\) | 505.710 | + | 1622.36i | 0.609290 | + | 1.95465i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −196.129 | + | 399.952i | −0.235732 | + | 0.480712i | ||||
\(833\) | −73.0702 | + | 414.402i | −0.0877193 | + | 0.497481i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1325.32 | + | 1579.46i | 1.58721 | + | 1.89156i | ||||
\(836\) | −644.357 | + | 168.153i | −0.770762 | + | 0.201140i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −1105.47 | + | 141.867i | −1.31918 | + | 0.169293i | ||||
\(839\) | 810.051 | + | 965.381i | 0.965495 | + | 1.15063i | 0.988549 | + | 0.150898i | \(0.0482166\pi\) |
−0.0230539 | + | 0.999734i | \(0.507339\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −80.8790 | + | 458.687i | −0.0961700 | + | 0.545407i | ||||
\(842\) | 677.654 | + | 1312.21i | 0.804815 | + | 1.55844i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.61208 | − | 0.738945i | 0.00191004 | − | 0.000875528i | ||||
\(845\) | 591.537 | + | 1024.57i | 0.700044 | + | 1.21251i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −237.384 | − | 137.054i | −0.280264 | − | 0.161811i | ||||
\(848\) | −393.012 | + | 64.0178i | −0.463457 | + | 0.0754927i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1157.26 | + | 1803.52i | −1.36149 | + | 2.12179i | ||||
\(851\) | −325.732 | + | 388.193i | −0.382764 | + | 0.456160i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −410.158 | − | 149.285i | −0.480842 | − | 0.175012i | 0.0902154 | − | 0.995922i | \(-0.471244\pi\) |
−0.571057 | + | 0.820910i | \(0.693467\pi\) | |||||||
\(854\) | −98.6481 | + | 235.975i | −0.115513 | + | 0.276318i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −772.264 | − | 604.689i | −0.902178 | − | 0.706413i | ||||
\(857\) | −25.9873 | − | 147.381i | −0.0303236 | − | 0.171974i | 0.965885 | − | 0.258972i | \(-0.0833837\pi\) |
−0.996208 | + | 0.0869982i | \(0.972273\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 245.695 | + | 675.042i | 0.286025 | + | 0.785846i | 0.996613 | + | 0.0822378i | \(0.0262067\pi\) |
−0.710588 | + | 0.703608i | \(0.751571\pi\) | |||||||
\(860\) | −1634.63 | + | 132.261i | −1.90073 | + | 0.153792i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 845.670 | − | 916.858i | 0.981055 | − | 1.06364i | ||||
\(863\) | 564.987i | 0.654678i | 0.944907 | + | 0.327339i | \(0.106152\pi\) | ||||
−0.944907 | + | 0.327339i | \(0.893848\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1656.99 | −1.91560 | ||||||||
\(866\) | −783.650 | − | 722.804i | −0.904907 | − | 0.834647i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −22.2883 | − | 275.464i | −0.0256778 | − | 0.317355i | ||||
\(869\) | 118.904 | − | 43.2775i | 0.136828 | − | 0.0498015i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 269.050 | − | 47.4407i | 0.308897 | − | 0.0544669i | ||||
\(872\) | −187.346 | + | 239.264i | −0.214846 | + | 0.274385i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −665.126 | − | 278.052i | −0.761014 | − | 0.318137i | ||||
\(875\) | 712.151 | − | 1956.62i | 0.813886 | − | 2.23613i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −466.664 | − | 391.577i | −0.532113 | − | 0.446496i | 0.336717 | − | 0.941606i | \(-0.390683\pi\) |
−0.868830 | + | 0.495110i | \(0.835128\pi\) | |||||||
\(878\) | 840.649 | + | 539.419i | 0.957459 | + | 0.614373i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 197.449 | + | 1212.16i | 0.224374 | + | 1.37745i | ||||
\(881\) | 215.603 | − | 373.436i | 0.244726 | − | 0.423877i | −0.717329 | − | 0.696735i | \(-0.754635\pi\) |
0.962054 | + | 0.272858i | \(0.0879688\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −19.1924 | + | 11.0808i | −0.0217355 | + | 0.0125490i | −0.510828 | − | 0.859683i | \(-0.670661\pi\) |
0.489093 | + | 0.872232i | \(0.337328\pi\) | |||||||
\(884\) | −174.318 | − | 380.291i | −0.197193 | − | 0.430193i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 18.5553 | − | 9.58238i | 0.0209427 | − | 0.0108153i | ||||
\(887\) | 1621.95 | + | 285.993i | 1.82858 | + | 0.322428i | 0.978816 | − | 0.204740i | \(-0.0656349\pi\) |
0.849761 | + | 0.527168i | \(0.176746\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −646.645 | + | 542.600i | −0.727385 | + | 0.610348i | ||||
\(890\) | 29.6653 | + | 231.160i | 0.0333318 | + | 0.259731i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −26.6185 | − | 102.001i | −0.0298414 | − | 0.114351i | ||||
\(893\) | 997.783 | − | 837.239i | 1.11734 | − | 0.937558i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3056.34 | + | 538.915i | 3.41491 | + | 0.602140i | ||||
\(896\) | 189.105 | − | 555.189i | 0.211055 | − | 0.619630i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 695.069 | − | 216.662i | 0.774018 | − | 0.241271i | ||||
\(899\) | −252.952 | + | 146.042i | −0.281371 | + | 0.162450i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 186.977 | − | 323.854i | 0.207522 | − | 0.359439i | ||||
\(902\) | −584.747 | − | 131.640i | −0.648278 | − | 0.145942i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 269.768 | − | 827.250i | 0.298416 | − | 0.915100i | ||||
\(905\) | 1176.49 | + | 987.193i | 1.29999 | + | 1.09082i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 212.408 | − | 583.586i | 0.234188 | − | 0.643425i | −0.765812 | − | 0.643064i | \(-0.777663\pi\) |
1.00000 | 0.000360886i | \(-0.000114874\pi\) | ||||||||
\(908\) | −64.9177 | − | 17.8498i | −0.0714952 | − | 0.0196584i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 379.434 | + | 497.845i | 0.416960 | + | 0.547082i | ||||
\(911\) | −935.459 | + | 164.947i | −1.02685 | + | 0.181061i | −0.661606 | − | 0.749851i | \(-0.730125\pi\) |
−0.365242 | + | 0.930913i | \(0.619014\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −636.378 | + | 231.623i | −0.697019 | + | 0.253694i | ||||
\(914\) | 503.551 | + | 23.6331i | 0.550931 | + | 0.0258567i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 594.315 | − | 837.082i | 0.648816 | − | 0.913845i | ||||
\(917\) | −922.604 | −1.00611 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 1119.44i | − | 1.21811i | −0.793128 | − | 0.609055i | \(-0.791549\pi\) | ||
0.793128 | − | 0.609055i | \(-0.208451\pi\) | |||||||
\(920\) | −625.421 | + | 1173.22i | −0.679806 | + | 1.27524i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 548.751 | + | 25.7545i | 0.595175 | + | 0.0279333i | ||||
\(923\) | −94.2592 | − | 258.975i | −0.102123 | − | 0.280580i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 370.517 | + | 2101.30i | 0.400558 | + | 2.27168i | ||||
\(926\) | 28.7599 | + | 37.7351i | 0.0310582 | + | 0.0407506i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −615.809 | + | 70.8658i | −0.663587 | + | 0.0763641i | ||||
\(929\) | −1350.81 | − | 491.654i | −1.45404 | − | 0.529229i | −0.510326 | − | 0.859981i | \(-0.670475\pi\) |
−0.943718 | + | 0.330752i | \(0.892698\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −383.144 | + | 456.614i | −0.411541 | + | 0.490455i | ||||
\(932\) | −61.7350 | − | 29.2798i | −0.0662393 | − | 0.0314161i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 16.2728 | + | 3.66339i | 0.0174227 | + | 0.00392226i | ||||
\(935\) | −998.858 | − | 576.691i | −1.06830 | − | 0.616782i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −164.072 | − | 284.182i | −0.175104 | − | 0.303289i | 0.765093 | − | 0.643920i | \(-0.222693\pi\) |
−0.940197 | + | 0.340630i | \(0.889360\pi\) | |||||||
\(938\) | −343.415 | + | 107.047i | −0.366114 | + | 0.114122i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1364.92 | − | 1976.66i | −1.45204 | − | 2.10283i | ||||
\(941\) | 116.085 | − | 658.349i | 0.123363 | − | 0.699627i | −0.858904 | − | 0.512137i | \(-0.828854\pi\) |
0.982267 | − | 0.187489i | \(-0.0600350\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −417.077 | − | 497.053i | −0.442288 | − | 0.527098i | ||||
\(944\) | 712.004 | + | 1271.29i | 0.754242 | + | 1.34670i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −83.1899 | − | 648.239i | −0.0879386 | − | 0.685242i | ||||
\(947\) | −245.016 | − | 291.999i | −0.258729 | − | 0.308341i | 0.621006 | − | 0.783806i | \(-0.286724\pi\) |
−0.879735 | + | 0.475465i | \(0.842280\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −99.8642 | + | 566.358i | −0.105231 | + | 0.596795i | ||||
\(950\) | −2697.04 | + | 1392.81i | −2.83899 | + | 1.46612i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 291.387 | + | 467.427i | 0.306078 | + | 0.490995i | ||||
\(953\) | 813.401 | + | 1408.85i | 0.853517 | + | 1.47833i | 0.878014 | + | 0.478634i | \(0.158868\pi\) |
−0.0244977 | + | 0.999700i | \(0.507799\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 709.477 | + | 409.617i | 0.742908 | + | 0.428918i | ||||
\(956\) | 115.792 | − | 1230.87i | 0.121121 | − | 1.28752i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −793.239 | − | 508.998i | −0.828015 | − | 0.531313i | ||||
\(959\) | −341.837 | + | 407.386i | −0.356452 | + | 0.424803i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −689.398 | − | 250.920i | −0.717375 | − | 0.261103i | ||||
\(962\) | −384.321 | − | 160.663i | −0.399502 | − | 0.167009i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 744.843 | + | 754.635i | 0.772658 | + | 0.782816i | ||||
\(965\) | −113.773 | − | 645.237i | −0.117899 | − | 0.668640i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −620.108 | − | 1703.73i | −0.641270 | − | 1.76188i | −0.647699 | − | 0.761896i | \(-0.724269\pi\) |
0.00642855 | − | 0.999979i | \(-0.497954\pi\) | |||||||
\(968\) | 468.217 | − | 98.9995i | 0.483695 | − | 0.102272i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 733.487 | + | 676.536i | 0.756172 | + | 0.697460i | ||||
\(971\) | 284.479i | 0.292976i | 0.989212 | + | 0.146488i | \(0.0467969\pi\) | ||||
−0.989212 | + | 0.146488i | \(0.953203\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −762.171 | −0.783321 | ||||||||
\(974\) | −296.922 | + | 321.917i | −0.304849 | + | 0.330511i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −147.234 | − | 421.574i | −0.150854 | − | 0.431940i | ||||
\(977\) | 558.491 | − | 203.274i | 0.571638 | − | 0.208059i | −0.0399961 | − | 0.999200i | \(-0.512735\pi\) |
0.611635 | + | 0.791140i | \(0.290512\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −91.4657 | + | 16.1279i | −0.0934276 | + | 0.0164738i | ||||
\(980\) | 772.214 | + | 782.366i | 0.787974 | + | 0.798333i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 94.1194 | − | 225.142i | 0.0958446 | − | 0.229269i | ||||
\(983\) | −258.620 | + | 710.553i | −0.263093 | + | 0.722841i | 0.735862 | + | 0.677131i | \(0.236777\pi\) |
−0.998955 | + | 0.0457097i | \(0.985445\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2087.35 | + | 1751.49i | 2.11913 | + | 1.77816i | ||||
\(986\) | 314.387 | − | 489.951i | 0.318851 | − | 0.496907i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 55.5015 | − | 589.984i | 0.0561757 | − | 0.597150i | ||||
\(989\) | 353.751 | − | 612.715i | 0.357686 | − | 0.619530i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1351.75 | + | 780.435i | −1.36403 | + | 0.787522i | −0.990157 | − | 0.139958i | \(-0.955303\pi\) |
−0.373871 | + | 0.927481i | \(0.621970\pi\) | |||||||
\(992\) | 350.374 | + | 331.743i | 0.353199 | + | 0.334418i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 166.501 | + | 322.412i | 0.167506 | + | 0.324358i | ||||
\(995\) | 699.730 | + | 123.381i | 0.703246 | + | 0.124001i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1068.15 | − | 896.280i | 1.07136 | − | 0.898977i | 0.0761844 | − | 0.997094i | \(-0.475726\pi\) |
0.995175 | + | 0.0981166i | \(0.0312818\pi\) | |||||||
\(998\) | 58.3660 | − | 7.49023i | 0.0584830 | − | 0.00750524i | ||||
\(999\) | 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 | 324.3.j.a.199.8 | 204 | ||
3.2 | odd | 2 | 108.3.j.a.103.27 | yes | 204 | ||
4.3 | odd | 2 | inner | 324.3.j.a.199.23 | 204 | ||
12.11 | even | 2 | 108.3.j.a.103.12 | yes | 204 | ||
27.11 | odd | 18 | 108.3.j.a.43.12 | ✓ | 204 | ||
27.16 | even | 9 | inner | 324.3.j.a.127.23 | 204 | ||
108.11 | even | 18 | 108.3.j.a.43.27 | yes | 204 | ||
108.43 | odd | 18 | inner | 324.3.j.a.127.8 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.43.12 | ✓ | 204 | 27.11 | odd | 18 | ||
108.3.j.a.43.27 | yes | 204 | 108.11 | even | 18 | ||
108.3.j.a.103.12 | yes | 204 | 12.11 | even | 2 | ||
108.3.j.a.103.27 | yes | 204 | 3.2 | odd | 2 | ||
324.3.j.a.127.8 | 204 | 108.43 | odd | 18 | inner | ||
324.3.j.a.127.23 | 204 | 27.16 | even | 9 | inner | ||
324.3.j.a.199.8 | 204 | 1.1 | even | 1 | trivial | ||
324.3.j.a.199.23 | 204 | 4.3 | odd | 2 | inner |