Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,4,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(1.59305157015\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 13.5 | ||
Character | \(\chi\) | \(=\) | 27.13 |
Dual form | 27.4.e.a.25.5 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.111911 | + | 0.634678i | 0.0395664 | + | 0.224392i | 0.998179 | − | 0.0603214i | \(-0.0192126\pi\) |
−0.958613 | + | 0.284714i | \(0.908101\pi\) | |||||||
\(3\) | −0.446524 | − | 5.17693i | −0.0859336 | − | 0.996301i | ||||
\(4\) | 7.12725 | − | 2.59411i | 0.890906 | − | 0.324263i | ||||
\(5\) | −0.393954 | − | 0.330567i | −0.0352363 | − | 0.0295668i | 0.624999 | − | 0.780625i | \(-0.285099\pi\) |
−0.660236 | + | 0.751058i | \(0.729544\pi\) | |||||||
\(6\) | 3.23571 | − | 0.862753i | 0.220162 | − | 0.0587029i | ||||
\(7\) | 9.02395 | + | 3.28445i | 0.487247 | + | 0.177344i | 0.573949 | − | 0.818891i | \(-0.305411\pi\) |
−0.0867021 | + | 0.996234i | \(0.527633\pi\) | |||||||
\(8\) | 5.02191 | + | 8.69820i | 0.221939 | + | 0.384410i | ||||
\(9\) | −26.6012 | + | 4.62325i | −0.985231 | + | 0.171231i | ||||
\(10\) | 0.165716 | − | 0.287028i | 0.00524039 | − | 0.00907662i | ||||
\(11\) | −31.1376 | + | 26.1275i | −0.853484 | + | 0.716158i | −0.960554 | − | 0.278093i | \(-0.910298\pi\) |
0.107070 | + | 0.994252i | \(0.465853\pi\) | |||||||
\(12\) | −16.6120 | − | 35.7389i | −0.399623 | − | 0.859745i | ||||
\(13\) | −0.304384 | + | 1.72625i | −0.00649392 | + | 0.0368289i | −0.987883 | − | 0.155203i | \(-0.950397\pi\) |
0.981389 | + | 0.192032i | \(0.0615078\pi\) | |||||||
\(14\) | −1.07469 | + | 6.09486i | −0.0205159 | + | 0.116351i | ||||
\(15\) | −1.53541 | + | 2.18708i | −0.0264294 | + | 0.0376468i | ||||
\(16\) | 41.5229 | − | 34.8419i | 0.648796 | − | 0.544405i | ||||
\(17\) | −37.5984 | + | 65.1223i | −0.536409 | + | 0.929087i | 0.462685 | + | 0.886523i | \(0.346886\pi\) |
−0.999094 | + | 0.0425646i | \(0.986447\pi\) | |||||||
\(18\) | −5.91124 | − | 16.3658i | −0.0774051 | − | 0.214303i | ||||
\(19\) | 42.1545 | + | 73.0137i | 0.508995 | + | 0.881605i | 0.999946 | + | 0.0104179i | \(0.00331617\pi\) |
−0.490951 | + | 0.871187i | \(0.663350\pi\) | |||||||
\(20\) | −3.66533 | − | 1.33407i | −0.0409797 | − | 0.0149154i | ||||
\(21\) | 12.9740 | − | 48.1829i | 0.134817 | − | 0.500685i | ||||
\(22\) | −20.0672 | − | 16.8384i | −0.194470 | − | 0.163180i | ||||
\(23\) | 121.405 | − | 44.1880i | 1.10064 | − | 0.400601i | 0.273089 | − | 0.961989i | \(-0.411954\pi\) |
0.827553 | + | 0.561388i | \(0.189732\pi\) | |||||||
\(24\) | 42.7876 | − | 29.8820i | 0.363916 | − | 0.254152i | ||||
\(25\) | −21.6601 | − | 122.841i | −0.173281 | − | 0.982724i | ||||
\(26\) | −1.12968 | −0.00852106 | ||||||||
\(27\) | 35.8123 | + | 135.648i | 0.255262 | + | 0.966872i | ||||
\(28\) | 72.8361 | 0.491598 | ||||||||
\(29\) | −45.3923 | − | 257.433i | −0.290660 | − | 1.64841i | −0.684337 | − | 0.729166i | \(-0.739908\pi\) |
0.393677 | − | 0.919249i | \(-0.371203\pi\) | |||||||
\(30\) | −1.55992 | − | 0.729733i | −0.00949337 | − | 0.00444102i | ||||
\(31\) | −284.215 | + | 103.446i | −1.64666 | + | 0.599335i | −0.988185 | − | 0.153267i | \(-0.951020\pi\) |
−0.658475 | + | 0.752603i | \(0.728798\pi\) | |||||||
\(32\) | 88.3123 | + | 74.1029i | 0.487861 | + | 0.409364i | ||||
\(33\) | 149.164 | + | 149.530i | 0.786852 | + | 0.788785i | ||||
\(34\) | −45.5393 | − | 16.5750i | −0.229704 | − | 0.0836054i | ||||
\(35\) | −2.46929 | − | 4.27694i | −0.0119253 | − | 0.0206553i | ||||
\(36\) | −177.600 | + | 101.957i | −0.822224 | + | 0.472025i | ||||
\(37\) | −103.323 | + | 178.961i | −0.459086 | + | 0.795161i | −0.998913 | − | 0.0466154i | \(-0.985156\pi\) |
0.539827 | + | 0.841776i | \(0.318490\pi\) | |||||||
\(38\) | −41.6226 | + | 34.9255i | −0.177686 | + | 0.149097i | ||||
\(39\) | 9.07259 | + | 0.804965i | 0.0372507 | + | 0.00330506i | ||||
\(40\) | 0.896935 | − | 5.08677i | 0.00354545 | − | 0.0201072i | ||||
\(41\) | 54.5513 | − | 309.376i | 0.207792 | − | 1.17845i | −0.685192 | − | 0.728362i | \(-0.740282\pi\) |
0.892985 | − | 0.450087i | \(-0.148607\pi\) | |||||||
\(42\) | 32.0325 | + | 2.84209i | 0.117684 | + | 0.0104415i | ||||
\(43\) | 99.6799 | − | 83.6413i | 0.353513 | − | 0.296632i | −0.448686 | − | 0.893689i | \(-0.648108\pi\) |
0.802199 | + | 0.597057i | \(0.203663\pi\) | |||||||
\(44\) | −154.148 | + | 266.991i | −0.528151 | + | 0.914784i | ||||
\(45\) | 12.0080 | + | 6.97214i | 0.0397787 | + | 0.0230965i | ||||
\(46\) | 41.6317 | + | 72.1082i | 0.133440 | + | 0.231125i | ||||
\(47\) | −186.753 | − | 67.9727i | −0.579591 | − | 0.210954i | 0.0355541 | − | 0.999368i | \(-0.488680\pi\) |
−0.615145 | + | 0.788414i | \(0.710903\pi\) | |||||||
\(48\) | −198.915 | − | 199.404i | −0.598144 | − | 0.599613i | ||||
\(49\) | −192.109 | − | 161.199i | −0.560085 | − | 0.469967i | ||||
\(50\) | 75.5401 | − | 27.4944i | 0.213660 | − | 0.0777658i | ||||
\(51\) | 353.922 | + | 165.566i | 0.971746 | + | 0.454585i | ||||
\(52\) | 2.30865 | + | 13.0930i | 0.00615677 | + | 0.0349168i | ||||
\(53\) | 527.620 | 1.36744 | 0.683719 | − | 0.729746i | \(-0.260362\pi\) | ||||
0.683719 | + | 0.729746i | \(0.260362\pi\) | |||||||
\(54\) | −82.0852 | + | 37.9098i | −0.206859 | + | 0.0955346i | ||||
\(55\) | 20.9037 | 0.0512482 | ||||||||
\(56\) | 16.7487 | + | 94.9863i | 0.0399667 | + | 0.226662i | ||||
\(57\) | 359.164 | − | 250.833i | 0.834604 | − | 0.582872i | ||||
\(58\) | 158.307 | − | 57.6190i | 0.358391 | − | 0.130444i | ||||
\(59\) | −59.2219 | − | 49.6931i | −0.130679 | − | 0.109652i | 0.575106 | − | 0.818079i | \(-0.304961\pi\) |
−0.705784 | + | 0.708427i | \(0.749405\pi\) | |||||||
\(60\) | −5.26974 | + | 19.5709i | −0.0113387 | + | 0.0421098i | ||||
\(61\) | 251.901 | + | 91.6844i | 0.528731 | + | 0.192442i | 0.592572 | − | 0.805518i | \(-0.298113\pi\) |
−0.0638405 | + | 0.997960i | \(0.520335\pi\) | |||||||
\(62\) | −97.4613 | − | 168.808i | −0.199639 | − | 0.345784i | ||||
\(63\) | −255.233 | − | 45.6504i | −0.510418 | − | 0.0912923i | ||||
\(64\) | 179.669 | − | 311.196i | 0.350916 | − | 0.607805i | ||||
\(65\) | 0.690554 | − | 0.579443i | 0.00131773 | − | 0.00110571i | ||||
\(66\) | −78.2106 | + | 111.405i | −0.145864 | + | 0.207773i | ||||
\(67\) | 15.6338 | − | 88.6636i | 0.0285070 | − | 0.161671i | −0.967231 | − | 0.253898i | \(-0.918287\pi\) |
0.995738 | + | 0.0922265i | \(0.0293984\pi\) | |||||||
\(68\) | −99.0389 | + | 561.677i | −0.176621 | + | 1.00167i | ||||
\(69\) | −282.968 | − | 608.776i | −0.493701 | − | 1.06215i | ||||
\(70\) | 2.43814 | − | 2.04584i | 0.00416304 | − | 0.00349321i | ||||
\(71\) | −360.735 | + | 624.811i | −0.602977 | + | 1.04439i | 0.389391 | + | 0.921073i | \(0.372686\pi\) |
−0.992368 | + | 0.123314i | \(0.960648\pi\) | |||||||
\(72\) | −173.803 | − | 208.165i | −0.284484 | − | 0.340730i | ||||
\(73\) | 66.7796 | + | 115.666i | 0.107068 | + | 0.185447i | 0.914581 | − | 0.404402i | \(-0.132520\pi\) |
−0.807513 | + | 0.589849i | \(0.799187\pi\) | |||||||
\(74\) | −125.145 | − | 45.5491i | −0.196592 | − | 0.0715538i | ||||
\(75\) | −626.265 | + | 166.984i | −0.964198 | + | 0.257089i | ||||
\(76\) | 489.851 | + | 411.034i | 0.739339 | + | 0.620379i | ||||
\(77\) | −366.798 | + | 133.504i | −0.542864 | + | 0.197586i | ||||
\(78\) | 0.504427 | + | 5.84825i | 0.000732245 | + | 0.00848954i | ||||
\(79\) | 21.9986 | + | 124.760i | 0.0313296 | + | 0.177679i | 0.996457 | − | 0.0841006i | \(-0.0268017\pi\) |
−0.965128 | + | 0.261780i | \(0.915691\pi\) | |||||||
\(80\) | −27.8757 | −0.0389575 | ||||||||
\(81\) | 686.251 | − | 245.968i | 0.941360 | − | 0.337405i | ||||
\(82\) | 202.459 | 0.272657 | ||||||||
\(83\) | 146.748 | + | 832.248i | 0.194068 | + | 1.10062i | 0.913740 | + | 0.406300i | \(0.133181\pi\) |
−0.719671 | + | 0.694315i | \(0.755708\pi\) | |||||||
\(84\) | −32.5231 | − | 377.068i | −0.0422447 | − | 0.489779i | ||||
\(85\) | 36.3393 | − | 13.2264i | 0.0463712 | − | 0.0168777i | ||||
\(86\) | 64.2405 | + | 53.9042i | 0.0805492 | + | 0.0675888i | ||||
\(87\) | −1312.44 | + | 349.943i | −1.61734 | + | 0.431239i | ||||
\(88\) | −383.633 | − | 139.631i | −0.464720 | − | 0.169144i | ||||
\(89\) | −693.455 | − | 1201.10i | −0.825912 | − | 1.43052i | −0.901221 | − | 0.433361i | \(-0.857328\pi\) |
0.0753091 | − | 0.997160i | \(-0.476006\pi\) | |||||||
\(90\) | −3.08124 | + | 8.40144i | −0.00360879 | + | 0.00983988i | ||||
\(91\) | −8.41652 | + | 14.5778i | −0.00969551 | + | 0.0167931i | ||||
\(92\) | 750.658 | − | 629.877i | 0.850669 | − | 0.713796i | ||||
\(93\) | 662.440 | + | 1425.17i | 0.738621 | + | 1.58907i | ||||
\(94\) | 22.2410 | − | 126.135i | 0.0244041 | − | 0.138403i | ||||
\(95\) | 7.52897 | − | 42.6989i | 0.00813112 | − | 0.0461139i | ||||
\(96\) | 344.192 | − | 490.276i | 0.365926 | − | 0.521235i | ||||
\(97\) | −216.678 | + | 181.815i | −0.226808 | + | 0.190314i | −0.749109 | − | 0.662447i | \(-0.769518\pi\) |
0.522301 | + | 0.852761i | \(0.325074\pi\) | |||||||
\(98\) | 80.8102 | − | 139.967i | 0.0832965 | − | 0.144274i | ||||
\(99\) | 707.504 | − | 838.981i | 0.718250 | − | 0.851725i | ||||
\(100\) | −473.038 | − | 819.326i | −0.473038 | − | 0.819326i | ||||
\(101\) | 436.501 | + | 158.873i | 0.430034 | + | 0.156520i | 0.547963 | − | 0.836502i | \(-0.315403\pi\) |
−0.117929 | + | 0.993022i | \(0.537626\pi\) | |||||||
\(102\) | −65.4731 | + | 243.155i | −0.0635568 | + | 0.236039i | ||||
\(103\) | 248.422 | + | 208.451i | 0.237648 | + | 0.199410i | 0.753832 | − | 0.657068i | \(-0.228203\pi\) |
−0.516184 | + | 0.856478i | \(0.672648\pi\) | |||||||
\(104\) | −16.5439 | + | 6.02147i | −0.0155986 | + | 0.00567744i | ||||
\(105\) | −21.0388 | + | 14.6931i | −0.0195541 | + | 0.0136562i | ||||
\(106\) | 59.0464 | + | 334.869i | 0.0541046 | + | 0.306843i | ||||
\(107\) | 2130.35 | 1.92475 | 0.962376 | − | 0.271722i | \(-0.0875932\pi\) | ||||
0.962376 | + | 0.271722i | \(0.0875932\pi\) | |||||||
\(108\) | 607.130 | + | 873.899i | 0.540936 | + | 0.778620i | ||||
\(109\) | −1208.72 | −1.06215 | −0.531077 | − | 0.847323i | \(-0.678213\pi\) | ||||
−0.531077 | + | 0.847323i | \(0.678213\pi\) | |||||||
\(110\) | 2.33934 | + | 13.2671i | 0.00202771 | + | 0.0114997i | ||||
\(111\) | 972.603 | + | 454.986i | 0.831670 | + | 0.389057i | ||||
\(112\) | 489.137 | − | 178.031i | 0.412671 | − | 0.150200i | ||||
\(113\) | −737.089 | − | 618.491i | −0.613624 | − | 0.514892i | 0.282168 | − | 0.959365i | \(-0.408946\pi\) |
−0.895792 | + | 0.444473i | \(0.853391\pi\) | |||||||
\(114\) | 199.393 | + | 199.882i | 0.163814 | + | 0.164217i | ||||
\(115\) | −62.4352 | − | 22.7246i | −0.0506271 | − | 0.0184268i | ||||
\(116\) | −991.330 | − | 1717.03i | −0.793471 | − | 1.37433i | ||||
\(117\) | 0.116120 | − | 47.3276i | 9.17550e−5 | − | 0.0373969i | ||||
\(118\) | 24.9115 | − | 43.1480i | 0.0194347 | − | 0.0336618i | ||||
\(119\) | −553.177 | + | 464.170i | −0.426131 | + | 0.357567i | ||||
\(120\) | −26.7344 | − | 2.37201i | −0.0203375 | − | 0.00180445i | ||||
\(121\) | 55.7749 | − | 316.315i | 0.0419045 | − | 0.237652i | ||||
\(122\) | −29.9996 | + | 170.136i | −0.0222626 | + | 0.126258i | ||||
\(123\) | −1625.98 | − | 144.265i | −1.19195 | − | 0.105755i | ||||
\(124\) | −1757.32 | + | 1474.57i | −1.27268 | + | 1.06790i | ||||
\(125\) | −64.2158 | + | 111.225i | −0.0459491 | + | 0.0795862i | ||||
\(126\) | 0.409986 | − | 167.099i | 0.000289876 | − | 0.118146i | ||||
\(127\) | −408.496 | − | 707.535i | −0.285418 | − | 0.494359i | 0.687292 | − | 0.726381i | \(-0.258799\pi\) |
−0.972711 | + | 0.232022i | \(0.925466\pi\) | |||||||
\(128\) | 1084.27 | + | 394.640i | 0.748722 | + | 0.272512i | ||||
\(129\) | −477.515 | − | 478.688i | −0.325914 | − | 0.326714i | ||||
\(130\) | 0.445040 | + | 0.373433i | 0.000300251 | + | 0.000251940i | ||||
\(131\) | −867.673 | + | 315.807i | −0.578694 | + | 0.210627i | −0.614750 | − | 0.788722i | \(-0.710743\pi\) |
0.0360555 | + | 0.999350i | \(0.488521\pi\) | |||||||
\(132\) | 1451.03 | + | 678.793i | 0.956786 | + | 0.447586i | ||||
\(133\) | 140.590 | + | 797.326i | 0.0916595 | + | 0.519827i | ||||
\(134\) | 58.0224 | 0.0374058 | ||||||||
\(135\) | 30.7324 | − | 65.2776i | 0.0195928 | − | 0.0416163i | ||||
\(136\) | −755.263 | −0.476201 | ||||||||
\(137\) | 89.6988 | + | 508.707i | 0.0559378 | + | 0.317239i | 0.999919 | − | 0.0127613i | \(-0.00406217\pi\) |
−0.943981 | + | 0.330001i | \(0.892951\pi\) | |||||||
\(138\) | 354.710 | − | 247.722i | 0.218803 | − | 0.152808i | ||||
\(139\) | 1482.07 | − | 539.428i | 0.904369 | − | 0.329163i | 0.152367 | − | 0.988324i | \(-0.451311\pi\) |
0.752002 | + | 0.659161i | \(0.229088\pi\) | |||||||
\(140\) | −28.6941 | − | 24.0772i | −0.0173221 | − | 0.0145350i | ||||
\(141\) | −268.500 | + | 997.161i | −0.160367 | + | 0.595575i | ||||
\(142\) | −436.924 | − | 159.027i | −0.258210 | − | 0.0939808i | ||||
\(143\) | −35.6248 | − | 61.7040i | −0.0208328 | − | 0.0360835i | ||||
\(144\) | −943.479 | + | 1118.81i | −0.545995 | + | 0.647458i | ||||
\(145\) | −67.2162 | + | 116.422i | −0.0384965 | + | 0.0666780i | ||||
\(146\) | −65.9370 | + | 55.3277i | −0.0373766 | + | 0.0313627i | ||||
\(147\) | −748.734 | + | 1066.52i | −0.420099 | + | 0.598399i | ||||
\(148\) | −272.166 | + | 1543.53i | −0.151161 | + | 0.857279i | ||||
\(149\) | 151.290 | − | 858.006i | 0.0831820 | − | 0.471749i | −0.914552 | − | 0.404468i | \(-0.867457\pi\) |
0.997734 | − | 0.0672805i | \(-0.0214322\pi\) | |||||||
\(150\) | −176.067 | − | 378.789i | −0.0958386 | − | 0.206187i | ||||
\(151\) | 1827.75 | − | 1533.66i | 0.985033 | − | 0.826541i | 0.000191679 | − | 1.00000i | \(-0.499939\pi\) |
0.984841 | + | 0.173459i | \(0.0554945\pi\) | |||||||
\(152\) | −423.392 | + | 733.337i | −0.225932 | + | 0.391326i | ||||
\(153\) | 699.087 | − | 1906.16i | 0.369398 | − | 1.00722i | ||||
\(154\) | −125.780 | − | 217.858i | −0.0658161 | − | 0.113997i | ||||
\(155\) | 146.163 | + | 53.1991i | 0.0757427 | + | 0.0275681i | ||||
\(156\) | 66.7507 | − | 17.7981i | 0.0342586 | − | 0.00913453i | ||||
\(157\) | −947.000 | − | 794.627i | −0.481394 | − | 0.403937i | 0.369536 | − | 0.929216i | \(-0.379517\pi\) |
−0.850930 | + | 0.525279i | \(0.823961\pi\) | |||||||
\(158\) | −76.7208 | + | 27.9241i | −0.0386302 | + | 0.0140603i | ||||
\(159\) | −235.595 | − | 2731.45i | −0.117509 | − | 1.36238i | ||||
\(160\) | −10.2951 | − | 58.3862i | −0.00508685 | − | 0.0288490i | ||||
\(161\) | 1240.69 | 0.607329 | ||||||||
\(162\) | 232.909 | + | 408.022i | 0.112957 | + | 0.197884i | ||||
\(163\) | 3274.82 | 1.57364 | 0.786822 | − | 0.617180i | \(-0.211725\pi\) | ||||
0.786822 | + | 0.617180i | \(0.211725\pi\) | |||||||
\(164\) | −413.753 | − | 2346.51i | −0.197004 | − | 1.11727i | ||||
\(165\) | −9.33398 | − | 108.217i | −0.00440394 | − | 0.0510586i | ||||
\(166\) | −511.786 | + | 186.275i | −0.239291 | + | 0.0870948i | ||||
\(167\) | 1454.32 | + | 1220.32i | 0.673883 | + | 0.565455i | 0.914212 | − | 0.405236i | \(-0.132811\pi\) |
−0.240329 | + | 0.970692i | \(0.577255\pi\) | |||||||
\(168\) | 484.259 | − | 129.120i | 0.222389 | − | 0.0592967i | ||||
\(169\) | 2061.62 | + | 750.367i | 0.938378 | + | 0.341542i | ||||
\(170\) | 12.4613 | + | 21.5836i | 0.00562198 | + | 0.00973755i | ||||
\(171\) | −1458.92 | − | 1747.36i | −0.652436 | − | 0.781429i | ||||
\(172\) | 493.469 | − | 854.713i | 0.218760 | − | 0.378903i | ||||
\(173\) | −1643.25 | + | 1378.85i | −0.722160 | + | 0.605964i | −0.927982 | − | 0.372626i | \(-0.878458\pi\) |
0.205822 | + | 0.978589i | \(0.434013\pi\) | |||||||
\(174\) | −368.977 | − | 793.815i | −0.160759 | − | 0.345856i | ||||
\(175\) | 208.004 | − | 1179.65i | 0.0898492 | − | 0.509560i | ||||
\(176\) | −382.591 | + | 2169.78i | −0.163857 | + | 0.929282i | ||||
\(177\) | −230.814 | + | 328.777i | −0.0980171 | + | 0.139618i | ||||
\(178\) | 684.706 | − | 574.537i | 0.288320 | − | 0.241929i | ||||
\(179\) | −1780.29 | + | 3083.56i | −0.743382 | + | 1.28757i | 0.207565 | + | 0.978221i | \(0.433446\pi\) |
−0.950947 | + | 0.309354i | \(0.899887\pi\) | |||||||
\(180\) | 103.670 | + | 18.5422i | 0.0429284 | + | 0.00767809i | ||||
\(181\) | 1888.78 | + | 3271.46i | 0.775645 | + | 1.34346i | 0.934431 | + | 0.356143i | \(0.115908\pi\) |
−0.158787 | + | 0.987313i | \(0.550758\pi\) | |||||||
\(182\) | −10.1941 | − | 3.71036i | −0.00415186 | − | 0.00151115i | ||||
\(183\) | 362.164 | − | 1345.01i | 0.146295 | − | 0.543313i | ||||
\(184\) | 994.043 | + | 834.101i | 0.398271 | + | 0.334189i | ||||
\(185\) | 99.8630 | − | 36.3471i | 0.0396869 | − | 0.0144448i | ||||
\(186\) | −830.388 | + | 579.927i | −0.327350 | + | 0.228615i | ||||
\(187\) | −530.762 | − | 3010.10i | −0.207557 | − | 1.17712i | ||||
\(188\) | −1507.37 | −0.584766 | ||||||||
\(189\) | −122.361 | + | 1341.71i | −0.0470925 | + | 0.516375i | ||||
\(190\) | 27.9426 | 0.0106693 | ||||||||
\(191\) | −84.2917 | − | 478.042i | −0.0319326 | − | 0.181099i | 0.964670 | − | 0.263462i | \(-0.0848644\pi\) |
−0.996602 | + | 0.0823631i | \(0.973753\pi\) | |||||||
\(192\) | −1691.27 | − | 791.178i | −0.635712 | − | 0.297387i | ||||
\(193\) | −3259.23 | + | 1186.26i | −1.21557 | + | 0.442431i | −0.868632 | − | 0.495458i | \(-0.835000\pi\) |
−0.346936 | + | 0.937889i | \(0.612778\pi\) | |||||||
\(194\) | −139.642 | − | 117.174i | −0.0516790 | − | 0.0433639i | ||||
\(195\) | −3.30809 | − | 3.31621i | −0.00121486 | − | 0.00121784i | ||||
\(196\) | −1787.38 | − | 650.552i | −0.651377 | − | 0.237082i | ||||
\(197\) | 977.466 | + | 1693.02i | 0.353511 | + | 0.612298i | 0.986862 | − | 0.161566i | \(-0.0516545\pi\) |
−0.633351 | + | 0.773864i | \(0.718321\pi\) | |||||||
\(198\) | 611.660 | + | 355.146i | 0.219539 | + | 0.127470i | ||||
\(199\) | −665.106 | + | 1152.00i | −0.236925 | + | 0.410367i | −0.959830 | − | 0.280581i | \(-0.909473\pi\) |
0.722905 | + | 0.690947i | \(0.242806\pi\) | |||||||
\(200\) | 959.717 | − | 805.298i | 0.339311 | − | 0.284716i | ||||
\(201\) | −465.986 | − | 41.3446i | −0.163523 | − | 0.0145086i | ||||
\(202\) | −51.9841 | + | 294.817i | −0.0181069 | + | 0.102689i | ||||
\(203\) | 435.906 | − | 2472.15i | 0.150712 | − | 0.854732i | ||||
\(204\) | 2951.99 | + | 261.915i | 1.01314 | + | 0.0898908i | ||||
\(205\) | −123.760 | + | 103.847i | −0.0421648 | + | 0.0353805i | ||||
\(206\) | −104.498 | + | 180.996i | −0.0353432 | + | 0.0612163i | ||||
\(207\) | −3025.24 | + | 1736.74i | −1.01579 | + | 0.583149i | ||||
\(208\) | 47.5068 | + | 82.2842i | 0.0158366 | + | 0.0274297i | ||||
\(209\) | −3220.26 | − | 1172.08i | −1.06579 | − | 0.387915i | ||||
\(210\) | −11.6799 | − | 11.7085i | −0.00383803 | − | 0.00384746i | ||||
\(211\) | −2707.90 | − | 2272.19i | −0.883504 | − | 0.741348i | 0.0833927 | − | 0.996517i | \(-0.473424\pi\) |
−0.966896 | + | 0.255169i | \(0.917869\pi\) | |||||||
\(212\) | 3760.48 | − | 1368.70i | 1.21826 | − | 0.443410i | ||||
\(213\) | 3395.68 | + | 1588.51i | 1.09234 | + | 0.510999i | ||||
\(214\) | 238.409 | + | 1352.08i | 0.0761555 | + | 0.431900i | ||||
\(215\) | −66.9183 | −0.0212269 | ||||||||
\(216\) | −1000.05 | + | 992.717i | −0.315022 | + | 0.312712i | ||||
\(217\) | −2904.50 | −0.908619 | ||||||||
\(218\) | −135.269 | − | 767.151i | −0.0420257 | − | 0.238339i | ||||
\(219\) | 568.974 | − | 397.361i | 0.175560 | − | 0.122608i | ||||
\(220\) | 148.986 | − | 54.2263i | 0.0456573 | − | 0.0166179i | ||||
\(221\) | −100.973 | − | 84.7264i | −0.0307338 | − | 0.0257888i | ||||
\(222\) | −179.924 | + | 668.207i | −0.0543952 | + | 0.202014i | ||||
\(223\) | 736.550 | + | 268.082i | 0.221180 | + | 0.0805028i | 0.450233 | − | 0.892911i | \(-0.351341\pi\) |
−0.229054 | + | 0.973414i | \(0.573563\pi\) | |||||||
\(224\) | 553.539 | + | 958.757i | 0.165111 | + | 0.285981i | ||||
\(225\) | 1144.11 | + | 3167.57i | 0.338995 | + | 0.938539i | ||||
\(226\) | 310.054 | − | 537.030i | 0.0912589 | − | 0.158065i | ||||
\(227\) | 459.784 | − | 385.805i | 0.134436 | − | 0.112805i | −0.573090 | − | 0.819492i | \(-0.694256\pi\) |
0.707526 | + | 0.706687i | \(0.249811\pi\) | |||||||
\(228\) | 1909.16 | − | 2719.46i | 0.554550 | − | 0.789916i | ||||
\(229\) | −357.830 | + | 2029.35i | −0.103258 | + | 0.585605i | 0.888644 | + | 0.458598i | \(0.151648\pi\) |
−0.991902 | + | 0.127007i | \(0.959463\pi\) | |||||||
\(230\) | 7.43560 | − | 42.1694i | 0.00213169 | − | 0.0120894i | ||||
\(231\) | 854.923 | + | 1839.28i | 0.243506 | + | 0.523877i | ||||
\(232\) | 2011.25 | − | 1687.64i | 0.569158 | − | 0.477580i | ||||
\(233\) | 2198.44 | − | 3807.80i | 0.618130 | − | 1.07063i | −0.371696 | − | 0.928354i | \(-0.621224\pi\) |
0.989827 | − | 0.142279i | \(-0.0454429\pi\) | |||||||
\(234\) | 30.0507 | − | 5.22277i | 0.00839521 | − | 0.00145907i | ||||
\(235\) | 51.1028 | + | 88.5126i | 0.0141854 | + | 0.0245699i | ||||
\(236\) | −550.999 | − | 200.547i | −0.151979 | − | 0.0553157i | ||||
\(237\) | 636.053 | − | 169.594i | 0.174330 | − | 0.0464823i | ||||
\(238\) | −356.505 | − | 299.143i | −0.0970957 | − | 0.0814730i | ||||
\(239\) | 2485.16 | − | 904.525i | 0.672601 | − | 0.244807i | 0.0169337 | − | 0.999857i | \(-0.494610\pi\) |
0.655667 | + | 0.755050i | \(0.272387\pi\) | |||||||
\(240\) | 12.4472 | + | 144.311i | 0.00334776 | + | 0.0388134i | ||||
\(241\) | −223.747 | − | 1268.93i | −0.0598043 | − | 0.339167i | 0.940195 | − | 0.340638i | \(-0.110643\pi\) |
−0.999999 | + | 0.00147066i | \(0.999532\pi\) | |||||||
\(242\) | 207.000 | 0.0549854 | ||||||||
\(243\) | −1579.79 | − | 3442.84i | −0.417051 | − | 0.908883i | ||||
\(244\) | 2033.20 | 0.533452 | ||||||||
\(245\) | 22.3953 | + | 127.010i | 0.00583992 | + | 0.0331198i | ||||
\(246\) | −90.4028 | − | 1048.12i | −0.0234304 | − | 0.271648i | ||||
\(247\) | −138.871 | + | 50.5449i | −0.0357739 | + | 0.0130206i | ||||
\(248\) | −2327.09 | − | 1952.66i | −0.595849 | − | 0.499976i | ||||
\(249\) | 4242.96 | − | 1131.32i | 1.07987 | − | 0.287930i | ||||
\(250\) | −77.7785 | − | 28.3091i | −0.0196766 | − | 0.00716169i | ||||
\(251\) | 1567.41 | + | 2714.84i | 0.394161 | + | 0.682706i | 0.992994 | − | 0.118168i | \(-0.0377020\pi\) |
−0.598833 | + | 0.800874i | \(0.704369\pi\) | |||||||
\(252\) | −1937.53 | + | 336.739i | −0.484337 | + | 0.0841769i | ||||
\(253\) | −2625.75 | + | 4547.93i | −0.652487 | + | 1.13014i | ||||
\(254\) | 403.342 | − | 338.444i | 0.0996374 | − | 0.0836057i | ||||
\(255\) | −84.6987 | − | 182.220i | −0.0208002 | − | 0.0447493i | ||||
\(256\) | 370.059 | − | 2098.71i | 0.0903465 | − | 0.512380i | ||||
\(257\) | 825.159 | − | 4679.71i | 0.200280 | − | 1.13584i | −0.704416 | − | 0.709787i | \(-0.748791\pi\) |
0.904696 | − | 0.426057i | \(-0.140098\pi\) | |||||||
\(258\) | 250.373 | − | 356.638i | 0.0604169 | − | 0.0860594i | ||||
\(259\) | −1520.17 | + | 1275.57i | −0.364705 | + | 0.306024i | ||||
\(260\) | 3.41861 | − | 5.92121i | 0.000815436 | − | 0.00141238i | ||||
\(261\) | 2397.67 | + | 6638.16i | 0.568628 | + | 1.57430i | ||||
\(262\) | −297.538 | − | 515.350i | −0.0701600 | − | 0.121521i | ||||
\(263\) | −2784.08 | − | 1013.32i | −0.652753 | − | 0.237583i | −0.00564853 | − | 0.999984i | \(-0.501798\pi\) |
−0.647104 | + | 0.762401i | \(0.724020\pi\) | |||||||
\(264\) | −551.558 | + | 2048.39i | −0.128584 | + | 0.477536i | ||||
\(265\) | −207.858 | − | 174.414i | −0.0481835 | − | 0.0404307i | ||||
\(266\) | −490.311 | + | 178.459i | −0.113019 | + | 0.0411354i | ||||
\(267\) | −5908.37 | + | 4126.29i | −1.35426 | + | 0.945786i | ||||
\(268\) | −118.577 | − | 672.484i | −0.0270270 | − | 0.153278i | ||||
\(269\) | −5521.68 | −1.25154 | −0.625768 | − | 0.780010i | \(-0.715214\pi\) | ||||
−0.625768 | + | 0.780010i | \(0.715214\pi\) | |||||||
\(270\) | 44.8695 | + | 12.1999i | 0.0101136 | + | 0.00274986i | ||||
\(271\) | 601.325 | 0.134789 | 0.0673946 | − | 0.997726i | \(-0.478531\pi\) | ||||
0.0673946 | + | 0.997726i | \(0.478531\pi\) | |||||||
\(272\) | 707.789 | + | 4014.07i | 0.157779 | + | 0.894812i | ||||
\(273\) | 79.2267 | + | 37.0624i | 0.0175642 | + | 0.00821655i | ||||
\(274\) | −312.827 | + | 113.860i | −0.0689728 | + | 0.0251040i | ||||
\(275\) | 3883.96 | + | 3259.03i | 0.851679 | + | 0.714643i | ||||
\(276\) | −3596.02 | − | 3604.85i | −0.784257 | − | 0.786183i | ||||
\(277\) | −2510.79 | − | 913.853i | −0.544617 | − | 0.198224i | 0.0550364 | − | 0.998484i | \(-0.482473\pi\) |
−0.599653 | + | 0.800260i | \(0.704695\pi\) | |||||||
\(278\) | 508.222 | + | 880.266i | 0.109644 | + | 0.189910i | ||||
\(279\) | 7082.20 | − | 4065.78i | 1.51971 | − | 0.872443i | ||||
\(280\) | 24.8011 | − | 42.9568i | 0.00529339 | − | 0.00916843i | ||||
\(281\) | 2846.11 | − | 2388.17i | 0.604216 | − | 0.506998i | −0.288582 | − | 0.957455i | \(-0.593184\pi\) |
0.892798 | + | 0.450458i | \(0.148739\pi\) | |||||||
\(282\) | −662.924 | − | 58.8179i | −0.139988 | − | 0.0124204i | ||||
\(283\) | −304.681 | + | 1727.93i | −0.0639979 | + | 0.362950i | 0.935944 | + | 0.352150i | \(0.114549\pi\) |
−0.999942 | + | 0.0108007i | \(0.996562\pi\) | |||||||
\(284\) | −950.221 | + | 5388.97i | −0.198540 | + | 1.12597i | ||||
\(285\) | −224.411 | − | 19.9109i | −0.0466420 | − | 0.00413831i | ||||
\(286\) | 35.1753 | − | 29.5156i | 0.00727259 | − | 0.00610243i | ||||
\(287\) | 1508.40 | − | 2612.62i | 0.310237 | − | 0.537346i | ||||
\(288\) | −2691.81 | − | 1562.94i | −0.550752 | − | 0.319781i | ||||
\(289\) | −370.779 | − | 642.208i | −0.0754690 | − | 0.130716i | ||||
\(290\) | −81.4125 | − | 29.6317i | −0.0164852 | − | 0.00600012i | ||||
\(291\) | 1037.99 | + | 1040.54i | 0.209101 | + | 0.209614i | ||||
\(292\) | 776.004 | + | 651.144i | 0.155521 | + | 0.130498i | ||||
\(293\) | −6974.36 | + | 2538.46i | −1.39060 | + | 0.506138i | −0.925375 | − | 0.379053i | \(-0.876250\pi\) |
−0.465227 | + | 0.885191i | \(0.654027\pi\) | |||||||
\(294\) | −760.685 | − | 355.850i | −0.150898 | − | 0.0705904i | ||||
\(295\) | 6.90384 | + | 39.1536i | 0.00136257 | + | 0.00772749i | ||||
\(296\) | −2075.52 | −0.407557 | ||||||||
\(297\) | −4659.26 | − | 3288.07i | −0.910296 | − | 0.642402i | ||||
\(298\) | 561.488 | 0.109148 | ||||||||
\(299\) | 39.3255 | + | 223.026i | 0.00760620 | + | 0.0431369i | ||||
\(300\) | −4030.37 | + | 2814.74i | −0.775646 | + | 0.541696i | ||||
\(301\) | 1174.22 | − | 427.382i | 0.224854 | − | 0.0818401i | ||||
\(302\) | 1177.93 | + | 988.397i | 0.224444 | + | 0.188331i | ||||
\(303\) | 627.568 | − | 2330.67i | 0.118986 | − | 0.441894i | ||||
\(304\) | 4294.32 | + | 1563.00i | 0.810184 | + | 0.294883i | ||||
\(305\) | −68.9296 | − | 119.390i | −0.0129406 | − | 0.0224139i | ||||
\(306\) | 1288.03 | + | 230.375i | 0.240627 | + | 0.0430381i | ||||
\(307\) | 4911.87 | − | 8507.61i | 0.913144 | − | 1.58161i | 0.103547 | − | 0.994625i | \(-0.466981\pi\) |
0.809597 | − | 0.586987i | \(-0.199686\pi\) | |||||||
\(308\) | −2267.94 | + | 1903.03i | −0.419571 | + | 0.352062i | ||||
\(309\) | 968.208 | − | 1379.14i | 0.178251 | − | 0.253905i | ||||
\(310\) | −17.4070 | + | 98.7201i | −0.00318920 | + | 0.0180868i | ||||
\(311\) | −388.151 | + | 2201.31i | −0.0707718 | + | 0.401367i | 0.928758 | + | 0.370688i | \(0.120878\pi\) |
−0.999529 | + | 0.0306789i | \(0.990233\pi\) | |||||||
\(312\) | 38.5600 | + | 82.9577i | 0.00699689 | + | 0.0150531i | ||||
\(313\) | −221.336 | + | 185.723i | −0.0399702 | + | 0.0335390i | −0.662554 | − | 0.749014i | \(-0.730527\pi\) |
0.622584 | + | 0.782553i | \(0.286083\pi\) | |||||||
\(314\) | 398.352 | − | 689.967i | 0.0715934 | − | 0.124003i | ||||
\(315\) | 85.4595 | + | 102.356i | 0.0152860 | + | 0.0183082i | ||||
\(316\) | 480.432 | + | 832.132i | 0.0855266 | + | 0.148136i | ||||
\(317\) | 7046.46 | + | 2564.70i | 1.24848 | + | 0.454410i | 0.879889 | − | 0.475180i | \(-0.157617\pi\) |
0.368594 | + | 0.929591i | \(0.379839\pi\) | |||||||
\(318\) | 1707.23 | − | 455.206i | 0.301058 | − | 0.0802726i | ||||
\(319\) | 8139.48 | + | 6829.83i | 1.42860 | + | 1.19874i | ||||
\(320\) | −173.652 | + | 63.2043i | −0.0303358 | + | 0.0110413i | ||||
\(321\) | −951.251 | − | 11028.7i | −0.165401 | − | 1.91763i | ||||
\(322\) | 138.846 | + | 787.437i | 0.0240298 | + | 0.136280i | ||||
\(323\) | −6339.77 | −1.09212 | ||||||||
\(324\) | 4253.02 | − | 3533.29i | 0.729255 | − | 0.605845i | ||||
\(325\) | 218.646 | 0.0373179 | ||||||||
\(326\) | 366.488 | + | 2078.46i | 0.0622635 | + | 0.353114i | ||||
\(327\) | 539.725 | + | 6257.49i | 0.0912747 | + | 1.05823i | ||||
\(328\) | 2964.97 | − | 1079.16i | 0.499125 | − | 0.181667i | ||||
\(329\) | −1462.00 | − | 1226.76i | −0.244993 | − | 0.205573i | ||||
\(330\) | 67.6382 | − | 18.0347i | 0.0112829 | − | 0.00300842i | ||||
\(331\) | −601.688 | − | 218.996i | −0.0999147 | − | 0.0363660i | 0.291579 | − | 0.956547i | \(-0.405819\pi\) |
−0.391494 | + | 0.920181i | \(0.628042\pi\) | |||||||
\(332\) | 3204.85 | + | 5550.96i | 0.529786 | + | 0.917616i | ||||
\(333\) | 1921.14 | − | 5238.26i | 0.316149 | − | 0.862027i | ||||
\(334\) | −611.754 | + | 1059.59i | −0.100221 | + | 0.173587i | ||||
\(335\) | −35.4682 | + | 29.7614i | −0.00578459 | + | 0.00485385i | ||||
\(336\) | −1140.07 | − | 2452.73i | −0.185107 | − | 0.398237i | ||||
\(337\) | 1656.56 | − | 9394.81i | 0.267770 | − | 1.51860i | −0.493259 | − | 0.869882i | \(-0.664195\pi\) |
0.761029 | − | 0.648717i | \(-0.224694\pi\) | |||||||
\(338\) | −245.524 | + | 1392.44i | −0.0395111 | + | 0.224079i | ||||
\(339\) | −2872.76 | + | 4092.03i | −0.460256 | + | 0.655601i | ||||
\(340\) | 224.689 | − | 188.536i | 0.0358396 | − | 0.0300730i | ||||
\(341\) | 6146.97 | − | 10646.9i | 0.976179 | − | 1.69079i | ||||
\(342\) | 945.744 | − | 1121.49i | 0.149532 | − | 0.177320i | ||||
\(343\) | −2851.06 | − | 4938.19i | −0.448813 | − | 0.777367i | ||||
\(344\) | 1228.11 | + | 446.997i | 0.192487 | + | 0.0700594i | ||||
\(345\) | −89.7647 | + | 333.370i | −0.0140080 | + | 0.0520233i | ||||
\(346\) | −1059.02 | − | 888.623i | −0.164547 | − | 0.138071i | ||||
\(347\) | −3480.35 | + | 1266.74i | −0.538429 | + | 0.195972i | −0.596898 | − | 0.802317i | \(-0.703600\pi\) |
0.0584689 | + | 0.998289i | \(0.481378\pi\) | |||||||
\(348\) | −8446.31 | + | 5898.74i | −1.30106 | + | 0.908637i | ||||
\(349\) | 1791.57 | + | 10160.5i | 0.274787 | + | 1.55839i | 0.739637 | + | 0.673006i | \(0.234997\pi\) |
−0.464850 | + | 0.885389i | \(0.653892\pi\) | |||||||
\(350\) | 771.974 | 0.117896 | ||||||||
\(351\) | −245.063 | + | 20.5318i | −0.0372664 | + | 0.00312223i | ||||
\(352\) | −4685.95 | −0.709552 | ||||||||
\(353\) | −9.58591 | − | 54.3644i | −0.00144534 | − | 0.00819695i | 0.984077 | − | 0.177745i | \(-0.0568803\pi\) |
−0.985522 | + | 0.169548i | \(0.945769\pi\) | |||||||
\(354\) | −234.498 | − | 109.699i | −0.0352074 | − | 0.0164701i | ||||
\(355\) | 348.655 | − | 126.900i | 0.0521259 | − | 0.0189723i | ||||
\(356\) | −8058.21 | − | 6761.64i | −1.19968 | − | 1.00665i | ||||
\(357\) | 2649.99 | + | 2656.50i | 0.392863 | + | 0.393828i | ||||
\(358\) | −2156.30 | − | 784.828i | −0.318335 | − | 0.115864i | ||||
\(359\) | 502.399 | + | 870.181i | 0.0738597 | + | 0.127929i | 0.900590 | − | 0.434670i | \(-0.143135\pi\) |
−0.826730 | + | 0.562599i | \(0.809802\pi\) | |||||||
\(360\) | −0.342174 | + | 139.461i | −5.00949e−5 | + | 0.0204174i | ||||
\(361\) | −124.503 | + | 215.646i | −0.0181518 | + | 0.0314399i | ||||
\(362\) | −1864.95 | + | 1564.88i | −0.270772 | + | 0.227204i | ||||
\(363\) | −1662.45 | − | 147.501i | −0.240374 | − | 0.0213272i | ||||
\(364\) | −22.1702 | + | 125.733i | −0.00319240 | + | 0.0181050i | ||||
\(365\) | 11.9271 | − | 67.6421i | 0.00171039 | − | 0.00970013i | ||||
\(366\) | 894.180 | + | 79.3360i | 0.127704 | + | 0.0113305i | ||||
\(367\) | −9113.56 | + | 7647.18i | −1.29625 | + | 1.08768i | −0.305470 | + | 0.952202i | \(0.598814\pi\) |
−0.990780 | + | 0.135481i | \(0.956742\pi\) | |||||||
\(368\) | 3501.52 | − | 6064.81i | 0.496003 | − | 0.859103i | ||||
\(369\) | −20.8109 | + | 8481.99i | −0.00293597 | + | 1.19663i | ||||
\(370\) | 34.2445 | + | 59.3131i | 0.00481158 | + | 0.00833390i | ||||
\(371\) | 4761.21 | + | 1732.94i | 0.666280 | + | 0.242506i | ||||
\(372\) | 8418.41 | + | 8439.09i | 1.17332 | + | 1.17620i | ||||
\(373\) | −349.502 | − | 293.267i | −0.0485161 | − | 0.0407098i | 0.618207 | − | 0.786015i | \(-0.287859\pi\) |
−0.666723 | + | 0.745305i | \(0.732304\pi\) | |||||||
\(374\) | 1851.05 | − | 673.726i | 0.255923 | − | 0.0931485i | ||||
\(375\) | 604.478 | + | 282.776i | 0.0832403 | + | 0.0389400i | ||||
\(376\) | −346.619 | − | 1965.77i | −0.0475412 | − | 0.269620i | ||||
\(377\) | 458.209 | 0.0625968 | ||||||||
\(378\) | −865.245 | + | 72.4914i | −0.117734 | + | 0.00986390i | ||||
\(379\) | −5244.85 | −0.710845 | −0.355422 | − | 0.934706i | \(-0.615663\pi\) | ||||
−0.355422 | + | 0.934706i | \(0.615663\pi\) | |||||||
\(380\) | −57.1047 | − | 323.857i | −0.00770897 | − | 0.0437198i | ||||
\(381\) | −3480.46 | + | 2430.69i | −0.468003 | + | 0.326845i | ||||
\(382\) | 293.969 | − | 106.996i | 0.0393738 | − | 0.0143309i | ||||
\(383\) | 1794.93 | + | 1506.12i | 0.239469 | + | 0.200938i | 0.754622 | − | 0.656160i | \(-0.227820\pi\) |
−0.515153 | + | 0.857098i | \(0.672265\pi\) | |||||||
\(384\) | 1558.87 | − | 5789.38i | 0.207164 | − | 0.769370i | ||||
\(385\) | 188.633 | + | 68.6570i | 0.0249705 | + | 0.00908853i | ||||
\(386\) | −1117.64 | − | 1935.81i | −0.147374 | − | 0.255259i | ||||
\(387\) | −2264.91 | + | 2685.81i | −0.297499 | + | 0.352784i | ||||
\(388\) | −1072.67 | + | 1857.92i | −0.140352 | + | 0.243098i | ||||
\(389\) | −765.582 | + | 642.400i | −0.0997855 | + | 0.0837299i | −0.691316 | − | 0.722553i | \(-0.742969\pi\) |
0.591530 | + | 0.806283i | \(0.298524\pi\) | |||||||
\(390\) | 1.73452 | − | 2.47069i | 0.000225207 | − | 0.000320790i | ||||
\(391\) | −1687.03 | + | 9567.60i | −0.218201 | + | 1.23748i | ||||
\(392\) | 437.385 | − | 2480.53i | 0.0563553 | − | 0.319607i | ||||
\(393\) | 2022.35 | + | 4350.87i | 0.259577 | + | 0.558453i | ||||
\(394\) | −965.134 | + | 809.843i | −0.123408 | + | 0.103552i | ||||
\(395\) | 32.5752 | − | 56.4219i | 0.00414946 | − | 0.00718707i | ||||
\(396\) | 2866.15 | − | 7814.97i | 0.363711 | − | 0.991709i | ||||
\(397\) | −5258.34 | − | 9107.72i | −0.664758 | − | 1.15139i | −0.979351 | − | 0.202167i | \(-0.935201\pi\) |
0.314593 | − | 0.949227i | \(-0.398132\pi\) | |||||||
\(398\) | −805.579 | − | 293.207i | −0.101457 | − | 0.0369275i | ||||
\(399\) | 4064.93 | − | 1083.85i | 0.510027 | − | 0.135991i | ||||
\(400\) | −5179.39 | − | 4346.02i | −0.647423 | − | 0.543253i | ||||
\(401\) | −8244.37 | + | 3000.71i | −1.02669 | + | 0.373686i | −0.799821 | − | 0.600238i | \(-0.795072\pi\) |
−0.226873 | + | 0.973924i | \(0.572850\pi\) | |||||||
\(402\) | −25.9084 | − | 300.378i | −0.00321441 | − | 0.0372674i | ||||
\(403\) | −92.0625 | − | 522.112i | −0.0113796 | − | 0.0645366i | ||||
\(404\) | 3523.18 | 0.433874 | ||||||||
\(405\) | −351.660 | − | 129.952i | −0.0431460 | − | 0.0159441i | ||||
\(406\) | 1617.80 | 0.197759 | ||||||||
\(407\) | −1458.57 | − | 8271.97i | −0.177638 | − | 1.00744i | ||||
\(408\) | 337.243 | + | 3909.95i | 0.0409216 | + | 0.474439i | ||||
\(409\) | 6620.19 | − | 2409.55i | 0.800360 | − | 0.291307i | 0.0907243 | − | 0.995876i | \(-0.471082\pi\) |
0.709636 | + | 0.704569i | \(0.248860\pi\) | |||||||
\(410\) | −79.7595 | − | 66.9262i | −0.00960742 | − | 0.00806158i | ||||
\(411\) | 2593.49 | − | 691.514i | 0.311259 | − | 0.0829924i | ||||
\(412\) | 2311.31 | + | 841.247i | 0.276383 | + | 0.100595i | ||||
\(413\) | −371.201 | − | 642.939i | −0.0442267 | − | 0.0766028i | ||||
\(414\) | −1440.83 | − | 1725.69i | −0.171045 | − | 0.204863i | ||||
\(415\) | 217.302 | − | 376.377i | 0.0257034 | − | 0.0445196i | ||||
\(416\) | −154.801 | + | 129.893i | −0.0182446 | + | 0.0153090i | ||||
\(417\) | −3454.36 | − | 7431.69i | −0.405661 | − | 0.872737i | ||||
\(418\) | 383.510 | − | 2174.99i | 0.0448758 | − | 0.254503i | ||||
\(419\) | 111.525 | − | 632.491i | 0.0130032 | − | 0.0737451i | −0.977616 | − | 0.210399i | \(-0.932524\pi\) |
0.990619 | + | 0.136654i | \(0.0436348\pi\) | |||||||
\(420\) | −111.833 | + | 159.298i | −0.0129926 | + | 0.0185071i | ||||
\(421\) | 4569.59 | − | 3834.34i | 0.528998 | − | 0.443882i | −0.338757 | − | 0.940874i | \(-0.610006\pi\) |
0.867755 | + | 0.496992i | \(0.165562\pi\) | |||||||
\(422\) | 1139.07 | − | 1972.92i | 0.131396 | − | 0.227584i | ||||
\(423\) | 5282.13 | + | 944.750i | 0.607153 | + | 0.108594i | ||||
\(424\) | 2649.66 | + | 4589.35i | 0.303488 | + | 0.525657i | ||||
\(425\) | 8814.05 | + | 3208.05i | 1.00599 | + | 0.366149i | ||||
\(426\) | −628.176 | + | 2332.93i | −0.0714442 | + | 0.265331i | ||||
\(427\) | 1972.01 | + | 1654.71i | 0.223494 | + | 0.187534i | ||||
\(428\) | 15183.5 | − | 5526.35i | 1.71477 | − | 0.624126i | ||||
\(429\) | −303.530 | + | 211.979i | −0.0341598 | + | 0.0238566i | ||||
\(430\) | −7.48888 | − | 42.4716i | −0.000839875 | − | 0.00476317i | ||||
\(431\) | −11815.6 | −1.32051 | −0.660253 | − | 0.751043i | \(-0.729551\pi\) | ||||
−0.660253 | + | 0.751043i | \(0.729551\pi\) | |||||||
\(432\) | 6213.28 | + | 4384.75i | 0.691983 | + | 0.488337i | ||||
\(433\) | 3726.80 | 0.413623 | 0.206811 | − | 0.978381i | \(-0.433691\pi\) | ||||
0.206811 | + | 0.978381i | \(0.433691\pi\) | |||||||
\(434\) | −325.045 | − | 1843.42i | −0.0359508 | − | 0.203887i | ||||
\(435\) | 632.721 | + | 295.988i | 0.0697395 | + | 0.0326243i | ||||
\(436\) | −8614.88 | + | 3135.56i | −0.946280 | + | 0.344418i | ||||
\(437\) | 8344.11 | + | 7001.54i | 0.913394 | + | 0.766428i | ||||
\(438\) | 315.870 | + | 316.646i | 0.0344586 | + | 0.0345432i | ||||
\(439\) | −11389.9 | − | 4145.60i | −1.23830 | − | 0.450703i | −0.361865 | − | 0.932230i | \(-0.617860\pi\) |
−0.876431 | + | 0.481527i | \(0.840082\pi\) | |||||||
\(440\) | 104.976 | + | 181.824i | 0.0113740 | + | 0.0197003i | ||||
\(441\) | 5855.60 | + | 3399.92i | 0.632286 | + | 0.367122i | ||||
\(442\) | 42.4740 | − | 73.5671i | 0.00457077 | − | 0.00791681i | ||||
\(443\) | 2944.32 | − | 2470.58i | 0.315776 | − | 0.264968i | −0.471098 | − | 0.882081i | \(-0.656142\pi\) |
0.786875 | + | 0.617113i | \(0.211698\pi\) | |||||||
\(444\) | 8112.27 | + | 719.761i | 0.867097 | + | 0.0769332i | ||||
\(445\) | −123.854 | + | 702.412i | −0.0131938 | + | 0.0748259i | ||||
\(446\) | −87.7180 | + | 497.473i | −0.00931293 | + | 0.0528162i | ||||
\(447\) | −4509.39 | − | 400.095i | −0.477152 | − | 0.0423353i | ||||
\(448\) | 2643.43 | − | 2218.10i | 0.278773 | − | 0.233919i | ||||
\(449\) | −2582.64 | + | 4473.26i | −0.271453 | + | 0.470170i | −0.969234 | − | 0.246141i | \(-0.920837\pi\) |
0.697781 | + | 0.716311i | \(0.254171\pi\) | |||||||
\(450\) | −1882.35 | + | 1080.62i | −0.197188 | + | 0.113202i | ||||
\(451\) | 6384.63 | + | 11058.5i | 0.666609 | + | 1.15460i | ||||
\(452\) | −6857.85 | − | 2496.05i | −0.713642 | − | 0.259745i | ||||
\(453\) | −8755.79 | − | 8777.30i | −0.908130 | − | 0.910361i | ||||
\(454\) | 296.317 | + | 248.639i | 0.0306318 | + | 0.0257031i | ||||
\(455\) | 8.13467 | − | 2.96078i | 0.000838152 | − | 0.000305062i | ||||
\(456\) | 3985.49 | + | 1864.42i | 0.409293 | + | 0.191468i | ||||
\(457\) | −1788.70 | − | 10144.2i | −0.183089 | − | 1.03835i | −0.928386 | − | 0.371617i | \(-0.878803\pi\) |
0.745297 | − | 0.666733i | \(-0.232308\pi\) | |||||||
\(458\) | −1328.03 | −0.135491 | ||||||||
\(459\) | −10180.2 | − | 2767.98i | −1.03523 | − | 0.281478i | ||||
\(460\) | −503.941 | −0.0510791 | ||||||||
\(461\) | 850.417 | + | 4822.95i | 0.0859172 | + | 0.487261i | 0.997155 | + | 0.0753799i | \(0.0240169\pi\) |
−0.911238 | + | 0.411881i | \(0.864872\pi\) | |||||||
\(462\) | −1071.67 | + | 748.435i | −0.107919 | + | 0.0753687i | ||||
\(463\) | −5384.34 | + | 1959.74i | −0.540457 | + | 0.196710i | −0.597802 | − | 0.801644i | \(-0.703959\pi\) |
0.0573444 | + | 0.998354i | \(0.481737\pi\) | |||||||
\(464\) | −10854.3 | − | 9107.81i | −1.08598 | − | 0.911248i | ||||
\(465\) | 210.142 | − | 780.432i | 0.0209573 | − | 0.0778315i | ||||
\(466\) | 2662.76 | + | 969.164i | 0.264699 | + | 0.0963426i | ||||
\(467\) | 5051.03 | + | 8748.64i | 0.500501 | + | 0.866893i | 1.00000 | 0.000578251i | \(0.000184063\pi\) | |
−0.499499 | + | 0.866314i | \(0.666483\pi\) | |||||||
\(468\) | −121.945 | − | 337.617i | −0.0120447 | − | 0.0333469i | ||||
\(469\) | 432.290 | − | 748.747i | 0.0425614 | − | 0.0737184i | ||||
\(470\) | −50.4580 | + | 42.3393i | −0.00495203 | + | 0.00415525i | ||||
\(471\) | −3690.87 | + | 5257.37i | −0.361075 | + | 0.514325i | ||||
\(472\) | 134.833 | − | 764.679i | 0.0131488 | − | 0.0745703i | ||||
\(473\) | −918.448 | + | 5208.78i | −0.0892817 | + | 0.506342i | ||||
\(474\) | 178.819 | + | 384.709i | 0.0173279 | + | 0.0372791i | ||||
\(475\) | 8055.97 | − | 6759.76i | 0.778176 | − | 0.652967i | ||||
\(476\) | −2738.52 | + | 4743.26i | −0.263697 | + | 0.456737i | ||||
\(477\) | −14035.3 | + | 2439.32i | −1.34724 | + | 0.234148i | ||||
\(478\) | 852.198 | + | 1476.05i | 0.0815452 | + | 0.141240i | ||||
\(479\) | −17351.2 | − | 6315.33i | −1.65511 | − | 0.602411i | −0.665528 | − | 0.746373i | \(-0.731793\pi\) |
−0.989583 | + | 0.143962i | \(0.954016\pi\) | |||||||
\(480\) | −297.665 | + | 79.3677i | −0.0283051 | + | 0.00754713i | ||||
\(481\) | −277.481 | − | 232.834i | −0.0263036 | − | 0.0220713i | ||||
\(482\) | 780.325 | − | 284.015i | 0.0737403 | − | 0.0268393i | ||||
\(483\) | −553.997 | − | 6422.96i | −0.0521900 | − | 0.605083i | ||||
\(484\) | −423.034 | − | 2399.14i | −0.0397289 | − | 0.225314i | ||||
\(485\) | 145.463 | 0.0136188 | ||||||||
\(486\) | 2008.30 | − | 1387.95i | 0.187445 | − | 0.129544i | ||||
\(487\) | 12918.0 | 1.20199 | 0.600996 | − | 0.799252i | \(-0.294771\pi\) | ||||
0.600996 | + | 0.799252i | \(0.294771\pi\) | |||||||
\(488\) | 467.534 | + | 2651.52i | 0.0433694 | + | 0.245960i | ||||
\(489\) | −1462.29 | − | 16953.5i | −0.135229 | − | 1.56782i | ||||
\(490\) | −78.1040 | + | 28.4275i | −0.00720078 | + | 0.00262087i | ||||
\(491\) | 14094.2 | + | 11826.4i | 1.29544 | + | 1.08701i | 0.990913 | + | 0.134504i | \(0.0429441\pi\) |
0.304531 | + | 0.952502i | \(0.401500\pi\) | |||||||
\(492\) | −11963.0 | + | 3189.75i | −1.09621 | + | 0.292286i | ||||
\(493\) | 18471.3 | + | 6723.00i | 1.68743 | + | 0.614176i | ||||
\(494\) | −47.6209 | − | 82.4818i | −0.00433718 | − | 0.00751221i | ||||
\(495\) | −556.063 | + | 96.6428i | −0.0504913 | + | 0.00877529i | ||||
\(496\) | −8197.19 | + | 14197.9i | −0.742066 | + | 1.28530i | ||||
\(497\) | −5307.41 | + | 4453.45i | −0.479014 | + | 0.401941i | ||||
\(498\) | 1192.86 | + | 2566.31i | 0.107336 | + | 0.230922i | ||||
\(499\) | −269.926 | + | 1530.83i | −0.0242155 | + | 0.137333i | −0.994519 | − | 0.104559i | \(-0.966657\pi\) |
0.970303 | + | 0.241892i | \(0.0777680\pi\) | |||||||
\(500\) | −169.152 | + | 959.311i | −0.0151295 | + | 0.0858034i | ||||
\(501\) | 5668.11 | − | 8073.80i | 0.505454 | − | 0.719982i | ||||
\(502\) | −1547.64 | + | 1298.62i | −0.137599 | + | 0.115459i | ||||
\(503\) | −10145.3 | + | 17572.2i | −0.899317 | + | 1.55766i | −0.0709470 | + | 0.997480i | \(0.522602\pi\) |
−0.828370 | + | 0.560182i | \(0.810731\pi\) | |||||||
\(504\) | −884.680 | − | 2449.32i | −0.0781881 | − | 0.216471i | ||||
\(505\) | −119.443 | − | 206.881i | −0.0105250 | − | 0.0182299i | ||||
\(506\) | −3180.32 | − | 1157.54i | −0.279412 | − | 0.101698i | ||||
\(507\) | 2964.04 | − | 11007.9i | 0.259640 | − | 0.964257i | ||||
\(508\) | −4746.87 | − | 3983.10i | −0.414583 | − | 0.347877i | ||||
\(509\) | −1546.10 | + | 562.735i | −0.134636 | + | 0.0490035i | −0.408459 | − | 0.912776i | \(-0.633934\pi\) |
0.273823 | + | 0.961780i | \(0.411712\pi\) | |||||||
\(510\) | 106.172 | − | 74.1488i | 0.00921842 | − | 0.00643797i | ||||
\(511\) | 222.718 | + | 1263.09i | 0.0192807 | + | 0.109346i | ||||
\(512\) | 10604.2 | 0.915322 | ||||||||
\(513\) | −8394.54 | + | 8332.98i | −0.722472 | + | 0.717174i | ||||
\(514\) | 3062.45 | 0.262799 | ||||||||
\(515\) | −28.9599 | − | 164.240i | −0.00247792 | − | 0.0140530i | ||||
\(516\) | −4645.14 | − | 2173.00i | −0.396300 | − | 0.185390i | ||||
\(517\) | 7591.00 | − | 2762.90i | 0.645748 | − | 0.235033i | ||||
\(518\) | −979.700 | − | 822.066i | −0.0830995 | − | 0.0697288i | ||||
\(519\) | 7871.94 | + | 7891.28i | 0.665780 | + | 0.667416i | ||||
\(520\) | 8.50802 | + | 3.09667i | 0.000717502 | + | 0.000261150i | ||||
\(521\) | −3156.83 | − | 5467.80i | −0.265458 | − | 0.459786i | 0.702226 | − | 0.711954i | \(-0.252190\pi\) |
−0.967683 | + | 0.252168i | \(0.918856\pi\) | |||||||
\(522\) | −3944.77 | + | 2264.63i | −0.330762 | + | 0.189885i | ||||
\(523\) | 7633.72 | − | 13222.0i | 0.638240 | − | 1.10546i | −0.347579 | − | 0.937651i | \(-0.612996\pi\) |
0.985819 | − | 0.167813i | \(-0.0536704\pi\) | |||||||
\(524\) | −5364.88 | + | 4501.67i | −0.447263 | + | 0.375298i | ||||
\(525\) | −6199.83 | − | 550.080i | −0.515396 | − | 0.0457285i | ||||
\(526\) | 331.565 | − | 1880.40i | 0.0274846 | − | 0.155873i | ||||
\(527\) | 3949.39 | − | 22398.1i | 0.326448 | − | 1.85138i | ||||
\(528\) | 11403.7 | + | 1011.79i | 0.939925 | + | 0.0833948i | ||||
\(529\) | 3466.24 | − | 2908.52i | 0.284888 | − | 0.239050i | ||||
\(530\) | 87.4349 | − | 151.442i | 0.00716590 | − | 0.0124117i | ||||
\(531\) | 1805.12 | + | 1048.10i | 0.147525 | + | 0.0856566i | ||||
\(532\) | 3070.37 | + | 5318.04i | 0.250221 | + | 0.433395i | ||||
\(533\) | 517.455 | + | 188.338i | 0.0420516 | + | 0.0153055i | ||||
\(534\) | −3280.07 | − | 3288.13i | −0.265810 | − | 0.266463i | ||||
\(535\) | −839.259 | − | 704.222i | −0.0678212 | − | 0.0569087i | ||||
\(536\) | 849.726 | − | 309.275i | 0.0684749 | − | 0.0249228i | ||||
\(537\) | 16758.3 | + | 7839.57i | 1.34669 | + | 0.629986i | ||||
\(538\) | −617.936 | − | 3504.49i | −0.0495188 | − | 0.280835i | ||||
\(539\) | 10193.5 | 0.814595 | ||||||||
\(540\) | 49.7006 | − | 544.973i | 0.00396069 | − | 0.0434294i | ||||
\(541\) | −7691.12 | −0.611215 | −0.305607 | − | 0.952158i | \(-0.598859\pi\) | ||||
−0.305607 | + | 0.952158i | \(0.598859\pi\) | |||||||
\(542\) | 67.2947 | + | 381.647i | 0.00533313 | + | 0.0302457i | ||||
\(543\) | 16092.7 | − | 11238.9i | 1.27183 | − | 0.888223i | ||||
\(544\) | −8146.15 | + | 2964.96i | −0.642028 | + | 0.233679i | ||||
\(545\) | 476.182 | + | 399.564i | 0.0374264 | + | 0.0314045i | ||||
\(546\) | −14.6563 | + | 54.4311i | −0.00114878 | + | 0.00426636i | ||||
\(547\) | −15250.8 | − | 5550.83i | −1.19209 | − | 0.433887i | −0.331636 | − | 0.943407i | \(-0.607601\pi\) |
−0.860459 | + | 0.509520i | \(0.829823\pi\) | |||||||
\(548\) | 1958.95 | + | 3392.99i | 0.152704 | + | 0.264492i | ||||
\(549\) | −7124.76 | − | 1274.32i | −0.553875 | − | 0.0990648i | ||||
\(550\) | −1633.78 | + | 2829.78i | −0.126663 | + | 0.219386i | ||||
\(551\) | 16882.6 | − | 14166.2i | 1.30531 | − | 1.09528i | ||||
\(552\) | 3874.22 | − | 5518.54i | 0.298728 | − | 0.425516i | ||||
\(553\) | −211.255 | + | 1198.08i | −0.0162450 | + | 0.0921298i | ||||
\(554\) | 299.018 | − | 1695.81i | 0.0229315 | − | 0.130051i | ||||
\(555\) | −232.758 | − | 500.754i | −0.0178018 | − | 0.0382988i | ||||
\(556\) | 9163.72 | − | 7689.28i | 0.698972 | − | 0.586507i | ||||
\(557\) | −4337.76 | + | 7513.21i | −0.329976 | + | 0.571535i | −0.982507 | − | 0.186227i | \(-0.940374\pi\) |
0.652531 | + | 0.757762i | \(0.273707\pi\) | |||||||
\(558\) | 3373.03 | + | 4039.91i | 0.255899 | + | 0.306493i | ||||
\(559\) | 114.045 | + | 197.531i | 0.00862894 | + | 0.0149458i | ||||
\(560\) | −251.549 | − | 91.5563i | −0.0189819 | − | 0.00690886i | ||||
\(561\) | −15346.1 | + | 4091.80i | −1.15492 | + | 0.307943i | ||||
\(562\) | 1834.23 | + | 1539.10i | 0.137673 | + | 0.115521i | ||||
\(563\) | 9900.05 | − | 3603.32i | 0.741096 | − | 0.269737i | 0.0562422 | − | 0.998417i | \(-0.482088\pi\) |
0.684854 | + | 0.728680i | \(0.259866\pi\) | |||||||
\(564\) | 673.075 | + | 7803.53i | 0.0502510 | + | 0.582603i | ||||
\(565\) | 85.9267 | + | 487.314i | 0.00639816 | + | 0.0362858i | ||||
\(566\) | −1130.78 | −0.0839754 | ||||||||
\(567\) | 7000.56 | + | 34.3526i | 0.518511 | + | 0.00254440i | ||||
\(568\) | −7246.32 | −0.535297 | ||||||||
\(569\) | 659.397 | + | 3739.63i | 0.0485824 | + | 0.275524i | 0.999416 | − | 0.0341786i | \(-0.0108815\pi\) |
−0.950833 | + | 0.309703i | \(0.899770\pi\) | |||||||
\(570\) | −12.4771 | − | 144.657i | −0.000916853 | − | 0.0106299i | ||||
\(571\) | 242.799 | − | 88.3714i | 0.0177948 | − | 0.00647676i | −0.333107 | − | 0.942889i | \(-0.608097\pi\) |
0.350902 | + | 0.936412i | \(0.385875\pi\) | |||||||
\(572\) | −413.974 | − | 347.365i | −0.0302607 | − | 0.0253917i | ||||
\(573\) | −2437.15 | + | 649.830i | −0.177685 | + | 0.0473770i | ||||
\(574\) | 1826.98 | + | 664.966i | 0.132851 | + | 0.0483539i | ||||
\(575\) | −8057.72 | − | 13956.4i | −0.584401 | − | 1.01221i | ||||
\(576\) | −3340.68 | + | 9108.85i | −0.241658 | + | 0.658916i | ||||
\(577\) | −5430.30 | + | 9405.55i | −0.391796 | + | 0.678611i | −0.992687 | − | 0.120721i | \(-0.961479\pi\) |
0.600890 | + | 0.799331i | \(0.294813\pi\) | |||||||
\(578\) | 366.101 | − | 307.195i | 0.0263457 | − | 0.0221066i | ||||
\(579\) | 7596.53 | + | 16343.1i | 0.545252 | + | 1.17305i | ||||
\(580\) | −177.056 | + | 1004.13i | −0.0126756 | + | 0.0718868i | ||||
\(581\) | −1409.23 | + | 7992.14i | −0.100628 | + | 0.570688i | ||||
\(582\) | −544.247 | + | 775.239i | −0.0387625 | + | 0.0552143i | ||||
\(583\) | −16428.8 | + | 13785.4i | −1.16709 | + | 0.979302i | ||||
\(584\) | −670.722 | + | 1161.72i | −0.0475251 | + | 0.0823160i | ||||
\(585\) | −15.6907 | + | 18.6065i | −0.00110894 | + | 0.00131502i | ||||
\(586\) | −2391.61 | − | 4142.39i | −0.168595 | − | 0.292014i | ||||
\(587\) | −19177.0 | − | 6979.86i | −1.34842 | − | 0.490783i | −0.435963 | − | 0.899965i | \(-0.643592\pi\) |
−0.912453 | + | 0.409182i | \(0.865814\pi\) | |||||||
\(588\) | −2569.76 | + | 9543.62i | −0.180230 | + | 0.669340i | ||||
\(589\) | −19533.9 | − | 16390.9i | −1.36652 | − | 1.14665i | ||||
\(590\) | −24.0773 | + | 8.76342i | −0.00168008 | + | 0.000611499i | ||||
\(591\) | 8328.19 | − | 5816.25i | 0.579655 | − | 0.404820i | ||||
\(592\) | 1945.05 | + | 11030.9i | 0.135036 | + | 0.765826i | ||||
\(593\) | 15542.4 | 1.07631 | 0.538153 | − | 0.842847i | \(-0.319122\pi\) | ||||
0.538153 | + | 0.842847i | \(0.319122\pi\) | |||||||
\(594\) | 1565.44 | − | 3325.10i | 0.108133 | − | 0.229681i | ||||
\(595\) | 371.366 | 0.0255874 | ||||||||
\(596\) | −1147.48 | − | 6507.68i | −0.0788634 | − | 0.447257i | ||||
\(597\) | 6260.80 | + | 2928.81i | 0.429208 | + | 0.200785i | ||||
\(598\) | −137.149 | + | 49.9180i | −0.00937864 | + | 0.00341355i | ||||
\(599\) | −6110.15 | − | 5127.02i | −0.416784 | − | 0.349724i | 0.410154 | − | 0.912016i | \(-0.365475\pi\) |
−0.826938 | + | 0.562293i | \(0.809919\pi\) | |||||||
\(600\) | −4597.51 | − | 4608.80i | −0.312821 | − | 0.313589i | ||||
\(601\) | 5695.33 | + | 2072.93i | 0.386551 | + | 0.140693i | 0.527983 | − | 0.849255i | \(-0.322948\pi\) |
−0.141432 | + | 0.989948i | \(0.545171\pi\) | |||||||
\(602\) | 402.658 | + | 697.423i | 0.0272610 | + | 0.0472174i | ||||
\(603\) | −5.96418 | + | 2430.84i | −0.000402786 | + | 0.164165i | ||||
\(604\) | 9048.33 | − | 15672.2i | 0.609555 | − | 1.05578i | ||||
\(605\) | −126.536 | + | 106.176i | −0.00850318 | + | 0.00713501i | ||||
\(606\) | 1549.46 | + | 137.476i | 0.103865 | + | 0.00921545i | ||||
\(607\) | −3020.71 | + | 17131.3i | −0.201988 | + | 1.14553i | 0.700121 | + | 0.714025i | \(0.253130\pi\) |
−0.902109 | + | 0.431508i | \(0.857982\pi\) | |||||||
\(608\) | −1687.76 | + | 9571.78i | −0.112579 | + | 0.638465i | ||||
\(609\) | −12992.8 | − | 1152.78i | −0.864522 | − | 0.0767047i | ||||
\(610\) | 68.0599 | − | 57.1090i | 0.00451748 | − | 0.00379062i | ||||
\(611\) | 174.183 | − | 301.693i | 0.0115330 | − | 0.0199758i | ||||
\(612\) | 37.7826 | − | 15399.2i | 0.00249554 | − | 1.01712i | ||||
\(613\) | 5434.53 | + | 9412.88i | 0.358073 | + | 0.620200i | 0.987639 | − | 0.156747i | \(-0.0501007\pi\) |
−0.629566 | + | 0.776947i | \(0.716767\pi\) | |||||||
\(614\) | 5949.28 | + | 2165.36i | 0.391031 | + | 0.142324i | ||||
\(615\) | 592.871 | + | 594.328i | 0.0388730 | + | 0.0389685i | ||||
\(616\) | −3003.27 | − | 2520.04i | −0.196437 | − | 0.164830i | ||||
\(617\) | −7517.47 | + | 2736.13i | −0.490505 | + | 0.178529i | −0.575419 | − | 0.817859i | \(-0.695161\pi\) |
0.0849133 | + | 0.996388i | \(0.472939\pi\) | |||||||
\(618\) | 983.662 | + | 460.159i | 0.0640270 | + | 0.0299520i | ||||
\(619\) | −2625.45 | − | 14889.6i | −0.170478 | − | 0.966826i | −0.943235 | − | 0.332125i | \(-0.892234\pi\) |
0.772758 | − | 0.634701i | \(-0.218877\pi\) | |||||||
\(620\) | 1179.75 | 0.0764189 | ||||||||
\(621\) | 10341.8 | + | 14886.0i | 0.668283 | + | 0.961922i | ||||
\(622\) | −1440.56 | −0.0928638 | ||||||||
\(623\) | −2312.75 | − | 13116.3i | −0.148730 | − | 0.843487i | ||||
\(624\) | 404.767 | − | 282.681i | 0.0259674 | − | 0.0181351i | ||||
\(625\) | −14589.6 | + | 5310.17i | −0.933732 | + | 0.339851i | ||||
\(626\) | −142.644 | − | 119.693i | −0.00910737 | − | 0.00764199i | ||||
\(627\) | −4629.84 | + | 17194.4i | −0.294893 | + | 1.09518i | ||||
\(628\) | −8810.85 | − | 3206.89i | −0.559859 | − | 0.203772i | ||||
\(629\) | −7769.56 | − | 13457.3i | −0.492516 | − | 0.853063i | ||||
\(630\) | −55.3990 | + | 65.6940i | −0.00350341 | + | 0.00415446i | ||||
\(631\) | −5114.69 | + | 8858.89i | −0.322682 | + | 0.558902i | −0.981041 | − | 0.193803i | \(-0.937918\pi\) |
0.658358 | + | 0.752705i | \(0.271251\pi\) | |||||||
\(632\) | −974.717 | + | 817.884i | −0.0613483 | + | 0.0514774i | ||||
\(633\) | −10553.9 | + | 15033.2i | −0.662683 | + | 0.943942i | ||||
\(634\) | −839.184 | + | 4759.25i | −0.0525682 | + | 0.298129i | ||||
\(635\) | −72.9591 | + | 413.771i | −0.00455952 | + | 0.0258583i | ||||
\(636\) | −8764.82 | − | 18856.6i | −0.546459 | − | 1.17565i | ||||
\(637\) | 336.744 | − | 282.562i | 0.0209455 | − | 0.0175754i | ||||
\(638\) | −3423.85 | + | 5930.28i | −0.212463 | + | 0.367997i | ||||
\(639\) | 6707.34 | − | 18288.5i | 0.415240 | − | 1.13221i | ||||
\(640\) | −296.696 | − | 513.892i | −0.0183249 | − | 0.0317396i | ||||
\(641\) | 28204.7 | + | 10265.7i | 1.73794 | + | 0.632558i | 0.999144 | − | 0.0413721i | \(-0.0131729\pi\) |
0.738795 | + | 0.673930i | \(0.235395\pi\) | |||||||
\(642\) | 6893.19 | − | 1837.96i | 0.423758 | − | 0.112989i | ||||
\(643\) | 21277.9 | + | 17854.3i | 1.30501 | + | 1.09503i | 0.989257 | + | 0.146189i | \(0.0467007\pi\) |
0.315751 | + | 0.948842i | \(0.397744\pi\) | |||||||
\(644\) | 8842.70 | − | 3218.48i | 0.541073 | − | 0.196935i | ||||
\(645\) | 29.8806 | + | 346.432i | 0.00182411 | + | 0.0211484i | ||||
\(646\) | −709.488 | − | 4023.71i | −0.0432112 | − | 0.245063i | ||||
\(647\) | 6120.46 | 0.371901 | 0.185951 | − | 0.982559i | \(-0.440464\pi\) | ||||
0.185951 | + | 0.982559i | \(0.440464\pi\) | |||||||
\(648\) | 5585.77 | + | 4733.92i | 0.338626 | + | 0.286985i | ||||
\(649\) | 3142.38 | 0.190061 | ||||||||
\(650\) | 24.4689 | + | 138.770i | 0.00147654 | + | 0.00837385i | ||||
\(651\) | 1296.93 | + | 15036.4i | 0.0780809 | + | 0.905258i | ||||
\(652\) | 23340.5 | − | 8495.24i | 1.40197 | − | 0.510275i | ||||
\(653\) | −4140.87 | − | 3474.60i | −0.248154 | − | 0.208226i | 0.510223 | − | 0.860042i | \(-0.329563\pi\) |
−0.758377 | + | 0.651816i | \(0.774007\pi\) | |||||||
\(654\) | −3911.08 | + | 1042.83i | −0.233846 | + | 0.0623516i | ||||
\(655\) | 446.219 | + | 162.410i | 0.0266186 | + | 0.00968839i | ||||
\(656\) | −8514.11 | − | 14746.9i | −0.506738 | − | 0.877696i | ||||
\(657\) | −2311.17 | − | 2768.11i | −0.137241 | − | 0.164375i | ||||
\(658\) | 614.986 | − | 1065.19i | 0.0364356 | − | 0.0631084i | ||||
\(659\) | −191.173 | + | 160.413i | −0.0113005 | + | 0.00948225i | −0.648420 | − | 0.761282i | \(-0.724570\pi\) |
0.637120 | + | 0.770765i | \(0.280126\pi\) | |||||||
\(660\) | −347.252 | − | 747.075i | −0.0204799 | − | 0.0440604i | ||||
\(661\) | 5019.50 | − | 28467.0i | 0.295364 | − | 1.67509i | −0.370354 | − | 0.928891i | \(-0.620764\pi\) |
0.665718 | − | 0.746203i | \(-0.268125\pi\) | |||||||
\(662\) | 71.6568 | − | 406.386i | 0.00420698 | − | 0.0238590i | ||||
\(663\) | −393.536 | + | 560.563i | −0.0230523 | + | 0.0328363i | ||||
\(664\) | −6502.11 | + | 5455.92i | −0.380016 | + | 0.318871i | ||||
\(665\) | 208.183 | − | 360.584i | 0.0121399 | − | 0.0210269i | ||||
\(666\) | 3539.60 | + | 633.086i | 0.205941 | + | 0.0368342i | ||||
\(667\) | −16886.3 | − | 29247.9i | −0.980270 | − | 1.69788i | ||||
\(668\) | 13530.9 | + | 4924.85i | 0.783723 | + | 0.285252i | ||||
\(669\) | 1058.96 | − | 3932.78i | 0.0611983 | − | 0.227279i | ||||
\(670\) | −22.8582 | − | 19.1803i | −0.00131804 | − | 0.00110597i | ||||
\(671\) | −10239.1 | + | 3726.72i | −0.589083 | + | 0.214409i | ||||
\(672\) | 4716.25 | − | 3293.74i | 0.270734 | − | 0.189076i | ||||
\(673\) | 4614.50 | + | 26170.1i | 0.264303 | + | 1.49894i | 0.771013 | + | 0.636819i | \(0.219750\pi\) |
−0.506710 | + | 0.862116i | \(0.669139\pi\) | |||||||
\(674\) | 6148.06 | 0.351357 | ||||||||
\(675\) | 15887.4 | − | 7337.36i | 0.905936 | − | 0.418393i | ||||
\(676\) | 16640.2 | 0.946757 | ||||||||
\(677\) | 1596.16 | + | 9052.28i | 0.0906137 | + | 0.513896i | 0.996003 | + | 0.0893144i | \(0.0284676\pi\) |
−0.905390 | + | 0.424581i | \(0.860421\pi\) | |||||||
\(678\) | −2918.61 | − | 1365.33i | −0.165323 | − | 0.0773382i | ||||
\(679\) | −2552.45 | + | 929.017i | −0.144262 | + | 0.0525072i | ||||
\(680\) | 297.539 | + | 249.665i | 0.0167796 | + | 0.0140797i | ||||
\(681\) | −2202.59 | − | 2208.00i | −0.123940 | − | 0.124245i | ||||
\(682\) | 7445.24 | + | 2709.85i | 0.418025 | + | 0.152149i | ||||
\(683\) | −9472.69 | − | 16407.2i | −0.530692 | − | 0.919185i | −0.999359 | − | 0.0358099i | \(-0.988599\pi\) |
0.468667 | − | 0.883375i | \(-0.344734\pi\) | |||||||
\(684\) | −14931.0 | − | 8669.30i | −0.834648 | − | 0.484619i | ||||
\(685\) | 132.824 | − | 230.059i | 0.00740870 | − | 0.0128322i | ||||
\(686\) | 2815.09 | − | 2362.14i | 0.156677 | − | 0.131468i | ||||
\(687\) | 10665.6 | + | 946.306i | 0.592312 | + | 0.0525529i | ||||
\(688\) | 1224.78 | − | 6946.07i | 0.0678696 | − | 0.384908i | ||||
\(689\) | −160.599 | + | 910.803i | −0.00888003 | + | 0.0503612i | ||||
\(690\) | −221.628 | − | 19.6639i | −0.0122279 | − | 0.00108492i | ||||
\(691\) | 1303.09 | − | 1093.42i | 0.0717393 | − | 0.0601964i | −0.606213 | − | 0.795302i | \(-0.707312\pi\) |
0.677952 | + | 0.735106i | \(0.262868\pi\) | |||||||
\(692\) | −8134.94 | + | 14090.1i | −0.446885 | + | 0.774027i | ||||
\(693\) | 9140.06 | − | 5247.16i | 0.501013 | − | 0.287624i | ||||
\(694\) | −1193.46 | − | 2067.14i | −0.0652784 | − | 0.113065i | ||||
\(695\) | −762.183 | − | 277.412i | −0.0415989 | − | 0.0151408i | ||||
\(696\) | −9634.84 | − | 9658.51i | −0.524724 | − | 0.526013i | ||||
\(697\) | 18096.2 | + | 15184.6i | 0.983421 | + | 0.825188i | ||||
\(698\) | −6248.15 | + | 2274.14i | −0.338820 | + | 0.123320i | ||||
\(699\) | −20694.4 | − | 9680.88i | −1.11979 | − | 0.523840i | ||||
\(700\) | −1577.64 | − | 8947.23i | −0.0851844 | − | 0.483105i | ||||
\(701\) | 16364.5 | 0.881710 | 0.440855 | − | 0.897578i | \(-0.354675\pi\) | ||||
0.440855 | + | 0.897578i | \(0.354675\pi\) | |||||||
\(702\) | −40.4563 | − | 153.239i | −0.00217511 | − | 0.00823877i | ||||
\(703\) | −17422.1 | −0.934691 | ||||||||
\(704\) | 2536.32 | + | 14384.2i | 0.135783 | + | 0.770064i | ||||
\(705\) | 435.405 | − | 304.078i | 0.0232600 | − | 0.0162443i | ||||
\(706\) | 33.4311 | − | 12.1679i | 0.00178215 | − | 0.000648649i | ||||
\(707\) | 3417.15 | + | 2867.33i | 0.181775 | + | 0.152527i | ||||
\(708\) | −792.184 | + | 2942.03i | −0.0420510 | + | 0.156170i | ||||
\(709\) | −7531.07 | − | 2741.09i | −0.398922 | − | 0.145196i | 0.134766 | − | 0.990877i | \(-0.456972\pi\) |
−0.533687 | + | 0.845682i | \(0.679194\pi\) | |||||||
\(710\) | 119.559 | + | 207.082i | 0.00631967 | + | 0.0109460i | ||||
\(711\) | −1161.99 | − | 3217.08i | −0.0612911 | − | 0.169690i | ||||
\(712\) | 6964.94 | − | 12063.6i | 0.366604 | − | 0.634977i | ||||
\(713\) | −29934.1 | + | 25117.7i | −1.57229 | + | 1.31931i | ||||
\(714\) | −1389.46 | + | 1979.18i | −0.0728278 | + | 0.103738i | ||||
\(715\) | −6.36274 | + | 36.0849i | −0.000332802 | + | 0.00188741i | ||||
\(716\) | −4689.51 | + | 26595.5i | −0.244770 | + | 1.38816i | ||||
\(717\) | −5792.34 | − | 12461.6i | −0.301700 | − | 0.649076i | ||||
\(718\) | −496.061 | + | 416.244i | −0.0257839 | + | 0.0216352i | ||||
\(719\) | 3033.06 | − | 5253.42i | 0.157322 | − | 0.272489i | −0.776580 | − | 0.630018i | \(-0.783047\pi\) |
0.933902 | + | 0.357529i | \(0.116381\pi\) | |||||||
\(720\) | 741.528 | − | 128.876i | 0.0383821 | − | 0.00667074i | ||||
\(721\) | 1557.10 | + | 2696.98i | 0.0804291 | + | 0.139307i | ||||
\(722\) | −150.799 | − | 54.8864i | −0.00777308 | − | 0.00282917i | ||||
\(723\) | −6469.28 | + | 1724.93i | −0.332773 | + | 0.0887289i | ||||
\(724\) | 21948.3 | + | 18416.8i | 1.12666 | + | 0.945380i | ||||
\(725\) | −30639.9 | + | 11152.0i | −1.56957 | + | 0.571277i | ||||
\(726\) | −92.4304 | − | 1071.62i | −0.00472509 | − | 0.0547820i | ||||
\(727\) | 5392.55 | + | 30582.7i | 0.275101 | + | 1.56018i | 0.738640 | + | 0.674100i | \(0.235468\pi\) |
−0.463539 | + | 0.886077i | \(0.653421\pi\) | |||||||
\(728\) | −169.068 | −0.00860725 | ||||||||
\(729\) | −17118.0 | + | 9715.77i | −0.869682 | + | 0.493612i | ||||
\(730\) | 44.2657 | 0.00224431 | ||||||||
\(731\) | 1699.12 | + | 9636.17i | 0.0859700 | + | 0.487560i | ||||
\(732\) | −907.873 | − | 10525.7i | −0.0458414 | − | 0.531479i | ||||
\(733\) | 30594.3 | − | 11135.4i | 1.54165 | − | 0.561113i | 0.575206 | − | 0.818009i | \(-0.304922\pi\) |
0.966439 | + | 0.256896i | \(0.0826997\pi\) | |||||||
\(734\) | −5873.40 | − | 4928.37i | −0.295356 | − | 0.247833i | ||||
\(735\) | 647.521 | − | 172.652i | 0.0324955 | − | 0.00866443i | ||||
\(736\) | 13996.0 | + | 5094.15i | 0.700953 | + | 0.255126i | ||||
\(737\) | 1829.76 | + | 3169.24i | 0.0914520 | + | 0.158400i | ||||
\(738\) | −5385.66 | + | 936.018i | −0.268630 | + | 0.0466874i | ||||
\(739\) | 603.349 | − | 1045.03i | 0.0300332 | − | 0.0520191i | −0.850618 | − | 0.525784i | \(-0.823772\pi\) |
0.880651 | + | 0.473765i | \(0.157105\pi\) | |||||||
\(740\) | 617.460 | − | 518.110i | 0.0306733 | − | 0.0257380i | ||||
\(741\) | 323.677 | + | 696.356i | 0.0160466 | + | 0.0345226i | ||||
\(742\) | −567.027 | + | 3215.77i | −0.0280542 | + | 0.159103i | ||||
\(743\) | 2498.60 | − | 14170.3i | 0.123371 | − | 0.699672i | −0.858891 | − | 0.512158i | \(-0.828846\pi\) |
0.982262 | − | 0.187513i | \(-0.0600428\pi\) | |||||||
\(744\) | −9069.69 | + | 12919.1i | −0.446924 | + | 0.636609i | ||||
\(745\) | −343.229 | + | 288.004i | −0.0168791 | + | 0.0141633i | ||||
\(746\) | 147.017 | − | 254.641i | 0.00721537 | − | 0.0124974i | ||||
\(747\) | −7751.36 | − | 21460.4i | −0.379662 | − | 1.05113i | ||||
\(748\) | −11591.4 | − | 20076.9i | −0.566609 | − | 0.981396i | ||||
\(749\) | 19224.1 | + | 6997.01i | 0.937830 | + | 0.341342i | ||||
\(750\) | −111.824 | + | 415.295i | −0.00544432 | + | 0.0202192i | ||||
\(751\) | −23807.3 | − | 19976.7i | −1.15678 | − | 0.970652i | −0.156922 | − | 0.987611i | \(-0.550157\pi\) |
−0.999856 | + | 0.0169589i | \(0.994602\pi\) | |||||||
\(752\) | −10122.8 | + | 3684.42i | −0.490881 | + | 0.178666i | ||||
\(753\) | 13354.7 | − | 9326.64i | 0.646309 | − | 0.451370i | ||||
\(754\) | 51.2786 | + | 290.815i | 0.00247673 | + | 0.0140462i | ||||
\(755\) | −1227.03 | −0.0591471 | ||||||||
\(756\) | 2608.43 | + | 9880.10i | 0.125486 | + | 0.475312i | ||||
\(757\) | −18020.9 | −0.865231 | −0.432616 | − | 0.901578i | \(-0.642409\pi\) | ||||
−0.432616 | + | 0.901578i | \(0.642409\pi\) | |||||||
\(758\) | −586.956 | − | 3328.79i | −0.0281256 | − | 0.159508i | ||||
\(759\) | 24716.8 | + | 11562.6i | 1.18203 | + | 0.552957i | ||||
\(760\) | 409.214 | − | 148.942i | 0.0195312 | − | 0.00710879i | ||||
\(761\) | −6118.25 | − | 5133.82i | −0.291441 | − | 0.244548i | 0.485330 | − | 0.874331i | \(-0.338699\pi\) |
−0.776771 | + | 0.629783i | \(0.783144\pi\) | |||||||
\(762\) | −1932.20 | − | 1936.95i | −0.0918586 | − | 0.0920843i | ||||
\(763\) | −10907.5 | − | 3969.99i | −0.517532 | − | 0.188366i | ||||
\(764\) | −1840.86 | − | 3188.46i | −0.0871727 | − | 0.150988i | ||||
\(765\) | −905.522 | + | 519.845i | −0.0427963 | + | 0.0245687i | ||||
\(766\) | −755.031 | + | 1307.75i | −0.0356141 | + | 0.0616854i | ||||
\(767\) | 103.809 | − | 87.1060i | 0.00488699 | − | 0.00410067i | ||||
\(768\) | −11030.1 | − | 978.646i | −0.518249 | − | 0.0459816i | ||||
\(769\) | 1924.09 | − | 10912.1i | 0.0902268 | − | 0.511702i | −0.905879 | − | 0.423537i | \(-0.860789\pi\) |
0.996106 | − | 0.0881653i | \(-0.0281004\pi\) | |||||||
\(770\) | −22.4649 | + | 127.405i | −0.00105140 | + | 0.00596280i | ||||
\(771\) | −24595.0 | − | 2182.19i | −1.14885 | − | 0.101932i | ||||
\(772\) | −20152.1 | + | 16909.6i | −0.939493 | + | 0.788328i | ||||
\(773\) | 5237.99 | − | 9072.46i | 0.243722 | − | 0.422139i | −0.718049 | − | 0.695992i | \(-0.754965\pi\) |
0.961772 | + | 0.273853i | \(0.0882981\pi\) | |||||||
\(774\) | −1958.09 | − | 1136.92i | −0.0909329 | − | 0.0527981i | ||||
\(775\) | 18863.4 | + | 32672.4i | 0.874316 | + | 1.51436i | ||||
\(776\) | −2669.60 | − | 971.655i | −0.123496 | − | 0.0449489i | ||||
\(777\) | 7282.34 | + | 7300.23i | 0.336232 | + | 0.337058i | ||||
\(778\) | −493.393 | − | 414.006i | −0.0227365 | − | 0.0190782i | ||||
\(779\) | 24888.3 | − | 9058.60i | 1.14469 | − | 0.416634i | ||||
\(780\) | −32.1802 | − | 15.0540i | −0.00147722 | − | 0.000691049i | ||||
\(781\) | −5092.36 | − | 28880.2i | −0.233315 | − | 1.32320i | ||||
\(782\) | −6261.14 | −0.286314 | ||||||||
\(783\) | 33294.7 | − | 15376.7i | 1.51961 | − | 0.701809i | ||||
\(784\) | −13593.4 | −0.619233 | ||||||||
\(785\) | 110.397 | + | 626.093i | 0.00501942 | + | 0.0284665i | ||||
\(786\) | −2535.07 | + | 1770.45i | −0.115042 | + | 0.0803432i | ||||
\(787\) | −6491.88 | + | 2362.85i | −0.294041 | + | 0.107022i | −0.484829 | − | 0.874609i | \(-0.661118\pi\) |
0.190787 | + | 0.981631i | \(0.438896\pi\) | |||||||
\(788\) | 11358.5 | + | 9530.93i | 0.513491 | + | 0.430870i | ||||
\(789\) | −4002.75 | + | 14865.5i | −0.180610 | + | 0.670755i | ||||
\(790\) | 39.4552 | + | 14.3605i | 0.00177690 | + | 0.000646740i | ||||
\(791\) | −4620.05 | − | 8002.16i | −0.207674 | − | 0.359702i | ||||
\(792\) | 10850.6 | + | 1940.72i | 0.486819 | + | 0.0870715i | ||||
\(793\) | −234.945 | + | 406.936i | −0.0105210 | + | 0.0182229i | ||||
\(794\) | 5192.00 | − | 4356.61i | 0.232062 | − | 0.194723i | ||||
\(795\) | −810.114 | + | 1153.95i | −0.0361406 | + | 0.0514796i | ||||
\(796\) | −1751.97 | + | 9935.93i | −0.0780113 | + | 0.442424i | ||||
\(797\) | 5001.03 | − | 28362.2i | 0.222265 | − | 1.26053i | −0.645579 | − | 0.763694i | \(-0.723384\pi\) |
0.867844 | − | 0.496836i | \(-0.165505\pi\) | |||||||
\(798\) | 1142.80 | + | 2458.62i | 0.0506953 | + | 0.109066i | ||||
\(799\) | 11448.2 | − | 9606.15i | 0.506893 | − | 0.425333i | ||||
\(800\) | 7189.98 | − | 12453.4i | 0.317755 | − | 0.550368i | ||||
\(801\) | 23999.8 | + | 28744.7i | 1.05866 | + | 1.26797i | ||||
\(802\) | −2827.11 | − | 4896.71i | −0.124475 | − | 0.215597i | ||||
\(803\) | −5101.41 | − | 1856.76i | −0.224190 | − | 0.0815986i | ||||
\(804\) | −3428.45 | + | 914.145i | −0.150388 | + | 0.0400988i | ||||
\(805\) | −488.775 | − | 410.131i | −0.0214000 | − | 0.0179568i | ||||
\(806\) | 321.070 | − | 116.860i | 0.0140313 | − | 0.00510697i | ||||
\(807\) | 2465.56 | + | 28585.4i | 0.107549 | + | 1.24691i | ||||
\(808\) | 810.155 | + | 4594.62i | 0.0352737 | + | 0.200047i | ||||
\(809\) | 22480.1 | 0.976957 | 0.488478 | − | 0.872576i | \(-0.337552\pi\) | ||||
0.488478 | + | 0.872576i | \(0.337552\pi\) | |||||||
\(810\) | 43.1228 | − | 237.734i | 0.00187059 | − | 0.0103125i | ||||
\(811\) | 24023.6 | 1.04017 | 0.520087 | − | 0.854113i | \(-0.325899\pi\) | ||||
0.520087 | + | 0.854113i | \(0.325899\pi\) | |||||||
\(812\) | −3306.20 | − | 18750.4i | −0.142888 | − | 0.810357i | ||||
\(813\) | −268.506 | − | 3113.02i | −0.0115829 | − | 0.134291i | ||||
\(814\) | 5086.80 | − | 1851.45i | 0.219032 | − | 0.0797213i | ||||
\(815\) | −1290.13 | − | 1082.55i | −0.0554494 | − | 0.0465276i | ||||
\(816\) | 20464.5 | − | 5456.55i | 0.877943 | − | 0.234090i | ||||
\(817\) | 10308.9 | + | 3752.14i | 0.441449 | + | 0.160674i | ||||
\(818\) | 2270.16 | + | 3932.03i | 0.0970345 | + | 0.168069i | ||||
\(819\) | 156.493 | − | 426.700i | 0.00667680 | − | 0.0182053i | ||||
\(820\) | −612.679 | + | 1061.19i | −0.0260923 | + | 0.0451932i | ||||
\(821\) | 19460.6 | − | 16329.4i | 0.827261 | − | 0.694154i | −0.127400 | − | 0.991851i | \(-0.540663\pi\) |
0.954660 | + | 0.297697i | \(0.0962186\pi\) | |||||||
\(822\) | 729.128 | + | 1568.64i | 0.0309383 | + | 0.0665604i | ||||
\(823\) | −1750.88 | + | 9929.75i | −0.0741579 | + | 0.420570i | 0.925016 | + | 0.379928i | \(0.124051\pi\) |
−0.999174 | + | 0.0406419i | \(0.987060\pi\) | |||||||
\(824\) | −565.594 | + | 3207.64i | −0.0239119 | + | 0.135611i | ||||
\(825\) | 15137.5 | − | 21562.2i | 0.638812 | − | 0.909940i | ||||
\(826\) | 366.518 | − | 307.545i | 0.0154392 | − | 0.0129550i | ||||
\(827\) | −8458.54 | + | 14650.6i | −0.355662 | + | 0.616024i | −0.987231 | − | 0.159295i | \(-0.949078\pi\) |
0.631569 | + | 0.775320i | \(0.282411\pi\) | |||||||
\(828\) | −17056.4 | + | 20226.0i | −0.715881 | + | 0.848915i | ||||
\(829\) | −7037.59 | − | 12189.5i | −0.294844 | − | 0.510684i | 0.680105 | − | 0.733115i | \(-0.261934\pi\) |
−0.974949 | + | 0.222431i | \(0.928601\pi\) | |||||||
\(830\) | 263.197 | + | 95.7957i | 0.0110069 | + | 0.00400617i | ||||
\(831\) | −3609.83 | + | 13406.3i | −0.150690 | + | 0.559636i | ||||
\(832\) | 482.513 | + | 404.877i | 0.0201059 | + | 0.0168709i | ||||
\(833\) | 17720.6 | − | 6449.79i | 0.737075 | − | 0.268274i | ||||
\(834\) | 4330.15 | − | 3024.09i | 0.179785 | − | 0.125558i | ||||
\(835\) | −169.538 | − | 961.498i | −0.00702648 | − | 0.0398491i | ||||
\(836\) | −25992.1 | −1.07530 | ||||||||
\(837\) | −24210.6 | − | 34848.6i | −0.999811 | − | 1.43912i | ||||
\(838\) | 413.908 | 0.0170623 | ||||||||
\(839\) | 511.993 | + | 2903.65i | 0.0210679 | + | 0.119482i | 0.993528 | − | 0.113587i | \(-0.0362342\pi\) |
−0.972460 | + | 0.233069i | \(0.925123\pi\) | |||||||
\(840\) | −233.459 | − | 109.212i | −0.00958939 | − | 0.00448594i | ||||
\(841\) | −41292.9 | + | 15029.4i | −1.69310 | + | 0.616236i | ||||
\(842\) | 2944.96 | + | 2471.11i | 0.120534 | + | 0.101140i | ||||
\(843\) | −13634.3 | − | 13667.7i | −0.557045 | − | 0.558413i | ||||
\(844\) | −25194.2 | − | 9169.93i | −1.02751 | − | 0.373983i | ||||
\(845\) | −564.136 | − | 977.112i | −0.0229667 | − | 0.0397795i | ||||
\(846\) | −8.48478 | + | 3458.17i | −0.000344814 | + | 0.140537i | ||||
\(847\) | 1542.23 | − | 2671.22i | 0.0625640 | − | 0.108364i | ||||
\(848\) | 21908.3 | − | 18383.3i | 0.887188 | − | 0.744439i | ||||
\(849\) | 9081.44 | + | 805.750i | 0.367107 | + | 0.0325716i | ||||
\(850\) | −1049.69 | + | 5953.09i | −0.0423578 | + | 0.240223i | ||||
\(851\) | −4636.06 | + | 26292.4i | −0.186748 | + | 1.05910i | ||||
\(852\) | 28322.6 | + | 2512.92i | 1.13887 | + | 0.101046i | ||||
\(853\) | 12605.1 | − | 10576.9i | 0.505968 | − | 0.424557i | −0.353740 | − | 0.935344i | \(-0.615090\pi\) |
0.859708 | + | 0.510787i | \(0.170646\pi\) | |||||||
\(854\) | −829.519 | + | 1436.77i | −0.0332384 | + | 0.0575705i | ||||
\(855\) | −2.87225 | + | 1170.65i | −0.000114888 | + | 0.0468251i | ||||
\(856\) | 10698.4 | + | 18530.2i | 0.427178 | + | 0.739894i | ||||
\(857\) | −37503.3 | − | 13650.1i | −1.49485 | − | 0.544082i | −0.540130 | − | 0.841582i | \(-0.681625\pi\) |
−0.954722 | + | 0.297500i | \(0.903847\pi\) | |||||||
\(858\) | −168.507 | − | 168.921i | −0.00670481 | − | 0.00672128i | ||||
\(859\) | −10850.4 | − | 9104.56i | −0.430979 | − | 0.361634i | 0.401342 | − | 0.915928i | \(-0.368544\pi\) |
−0.832321 | + | 0.554294i | \(0.812988\pi\) | |||||||
\(860\) | −476.944 | + | 173.593i | −0.0189112 | + | 0.00688312i | ||||
\(861\) | −14198.9 | − | 6642.27i | −0.562018 | − | 0.262913i | ||||
\(862\) | −1322.30 | − | 7499.11i | −0.0522477 | − | 0.296312i | ||||
\(863\) | −13515.4 | −0.533104 | −0.266552 | − | 0.963821i | \(-0.585884\pi\) | ||||
−0.266552 | + | 0.963821i | \(0.585884\pi\) | |||||||
\(864\) | −6889.26 | + | 14633.2i | −0.271270 | + | 0.576195i | ||||
\(865\) | 1103.16 | 0.0433627 | ||||||||
\(866\) | 417.069 | + | 2365.32i | 0.0163656 | + | 0.0928138i | ||||
\(867\) | −3159.11 | + | 2206.26i | −0.123747 | + | 0.0864227i | ||||
\(868\) | −20701.1 | + | 7534.58i | −0.809494 | + | 0.294632i | ||||
\(869\) | −3944.66 | − | 3309.97i | −0.153986 | − | 0.129209i | ||||
\(870\) | −117.049 | + | 434.698i | −0.00456129 | + | 0.0169398i | ||||
\(871\) | 148.297 | + | 53.9756i | 0.00576905 | + | 0.00209976i | ||||
\(872\) | −6070.11 | − | 10513.7i | −0.235734 | − | 0.408303i | ||||
\(873\) | 4923.33 | − | 5838.25i | 0.190870 | − | 0.226340i | ||||
\(874\) | −3509.92 | + | 6079.37i | −0.135841 | + | 0.235283i | ||||
\(875\) | −944.793 | + | 792.775i | −0.0365027 | + | 0.0306294i | ||||
\(876\) | 3024.43 | − | 4308.07i | 0.116651 | − | 0.166160i | ||||
\(877\) | −1315.98 | + | 7463.30i | −0.0506699 | + | 0.287363i | −0.999605 | − | 0.0281084i | \(-0.991052\pi\) |
0.948935 | + | 0.315472i | \(0.102163\pi\) | |||||||
\(878\) | 1356.46 | − | 7692.88i | 0.0521394 | − | 0.295697i | ||||
\(879\) | 16255.6 | + | 34972.3i | 0.623765 | + | 1.34196i | ||||
\(880\) | 867.982 | − | 728.323i | 0.0332496 | − | 0.0278997i | ||||
\(881\) | 428.600 | − | 742.357i | 0.0163904 | − | 0.0283889i | −0.857714 | − | 0.514127i | \(-0.828116\pi\) |
0.874104 | + | 0.485738i | \(0.161449\pi\) | |||||||
\(882\) | −1502.55 | + | 4096.91i | −0.0573621 | + | 0.156406i | ||||
\(883\) | −2788.53 | − | 4829.87i | −0.106276 | − | 0.184075i | 0.807983 | − | 0.589206i | \(-0.200559\pi\) |
−0.914259 | + | 0.405131i | \(0.867226\pi\) | |||||||
\(884\) | −939.449 | − | 341.931i | −0.0357433 | − | 0.0130095i | ||||
\(885\) | 199.613 | − | 53.2237i | 0.00758182 | − | 0.00202158i | ||||
\(886\) | 1897.52 | + | 1592.21i | 0.0719509 | + | 0.0603740i | ||||
\(887\) | 11301.4 | − | 4113.38i | 0.427807 | − | 0.155709i | −0.119138 | − | 0.992878i | \(-0.538013\pi\) |
0.546945 | + | 0.837169i | \(0.315791\pi\) | |||||||
\(888\) | 926.767 | + | 10744.8i | 0.0350228 | + | 0.406049i | ||||
\(889\) | −1362.38 | − | 7726.44i | −0.0513979 | − | 0.291492i | ||||
\(890\) | −459.665 | −0.0173124 | ||||||||
\(891\) | −14941.7 | + | 25588.9i | −0.561800 | + | 0.962132i | ||||
\(892\) | 5945.01 | 0.223154 | ||||||||
\(893\) | −2909.56 | − | 16500.9i | −0.109031 | − | 0.618345i | ||||
\(894\) | −250.718 | − | 2906.78i | −0.00937948 | − | 0.108744i | ||||
\(895\) | 1720.67 | − | 626.274i | 0.0642635 | − | 0.0233900i | ||||
\(896\) | 8488.17 | + | 7122.42i | 0.316484 | + | 0.265562i | ||||
\(897\) | 1137.03 | − | 303.172i | 0.0423237 | − | 0.0112850i | ||||
\(898\) | −3128.10 | − | 1138.54i | −0.116243 | − | 0.0423090i | ||||
\(899\) | 39531.4 | + | 68470.5i | 1.46657 | + | 2.54018i | ||||
\(900\) | 16371.4 | + | 19608.1i | 0.606346 | + | 0.726227i | ||||
\(901\) | −19837.7 | + | 34359.8i | −0.733506 | + | 1.27047i | ||||
\(902\) | −6304.08 | + | 5289.75i | −0.232708 | + | 0.195265i | ||||
\(903\) | −2736.84 | − | 5888.03i | −0.100860 | − | 0.216989i | ||||
\(904\) | 1678.17 | − | 9517.36i | 0.0617423 | − | 0.350158i | ||||
\(905\) | 337.344 | − | 1913.17i | 0.0123908 | − | 0.0702718i | ||||
\(906\) | 4590.89 | − | 6539.38i | 0.168347 | − | 0.239797i | ||||
\(907\) | −4767.61 | + | 4000.50i | −0.174538 | + | 0.146455i | −0.725872 | − | 0.687830i | \(-0.758563\pi\) |
0.551334 | + | 0.834285i | \(0.314119\pi\) | |||||||
\(908\) | 2276.18 | − | 3942.46i | 0.0831913 | − | 0.144091i | ||||
\(909\) | −12346.0 | − | 2208.17i | −0.450484 | − | 0.0805726i | ||||
\(910\) | 2.78950 | + | 4.83155i | 0.000101616 | + | 0.000176005i | ||||
\(911\) | −26015.0 | − | 9468.69i | −0.946121 | − | 0.344360i | −0.177541 | − | 0.984113i | \(-0.556814\pi\) |
−0.768580 | + | 0.639754i | \(0.779036\pi\) | |||||||
\(912\) | 6174.04 | − | 22929.3i | 0.224170 | − | 0.832527i | ||||
\(913\) | −26313.9 | − | 22080.0i | −0.953849 | − | 0.800374i | ||||
\(914\) | 6238.13 | − | 2270.49i | 0.225754 | − | 0.0821676i | ||||
\(915\) | −587.293 | + | 410.154i | −0.0212189 | + | 0.0148189i | ||||
\(916\) | 2714.02 | + | 15392.0i | 0.0978971 | + | 0.555202i | ||||
\(917\) | −8867.08 | −0.319320 | ||||||||
\(918\) | 617.497 | − | 6770.93i | 0.0222009 | − | 0.243436i | ||||
\(919\) | 15537.6 | 0.557711 | 0.278856 | − | 0.960333i | \(-0.410045\pi\) | ||||
0.278856 | + | 0.960333i | \(0.410045\pi\) | |||||||
\(920\) | −115.881 | − | 657.195i | −0.00415271 | − | 0.0235512i | ||||
\(921\) | −46236.6 | − | 21629.6i | −1.65423 | − | 0.773852i | ||||
\(922\) | −2965.85 | + | 1079.48i | −0.105938 | + | 0.0385583i | ||||
\(923\) | −968.778 | − | 812.901i | −0.0345479 | − | 0.0289891i | ||||
\(924\) | 10864.5 | + | 10891.2i | 0.386815 | + | 0.387765i | ||||
\(925\) | 24221.6 | + | 8815.94i | 0.860975 | + | 0.313369i | ||||
\(926\) | −1846.37 | − | 3198.01i | −0.0655243 | − | 0.113491i | ||||
\(927\) | −7572.04 | − | 4396.53i | −0.268283 | − | 0.155772i | ||||
\(928\) | 15067.8 | − | 26098.2i | 0.533000 | − | 0.923184i | ||||
\(929\) | −20230.4 | + | 16975.3i | −0.714465 | + | 0.599508i | −0.925848 | − | 0.377896i | \(-0.876648\pi\) |
0.211383 | + | 0.977403i | \(0.432203\pi\) | |||||||
\(930\) | 518.840 | + | 46.0340i | 0.0182940 | + | 0.00162313i | ||||
\(931\) | 3671.46 | − | 20821.9i | 0.129245 | − | 0.732985i | ||||
\(932\) | 5790.96 | − | 32842.1i | 0.203529 | − | 1.15427i | ||||
\(933\) | 11569.4 | + | 1026.49i | 0.405964 | + | 0.0360191i | ||||
\(934\) | −4987.30 | + | 4184.84i | −0.174721 | + | 0.146608i | ||||
\(935\) | −785.944 | + | 1361.30i | −0.0274900 | + | 0.0476140i | ||||
\(936\) | 412.248 | − | 236.665i | 0.0143961 | − | 0.00826457i | ||||
\(937\) | 22520.4 | + | 39006.5i | 0.785176 | + | 1.35997i | 0.928894 | + | 0.370347i | \(0.120761\pi\) |
−0.143717 | + | 0.989619i | \(0.545906\pi\) | |||||||
\(938\) | 523.591 | + | 190.572i | 0.0182259 | + | 0.00663367i | ||||
\(939\) | 1060.31 | + | 1062.91i | 0.0368497 | + | 0.0369402i | ||||
\(940\) | 593.833 | + | 498.285i | 0.0206050 | + | 0.0172897i | ||||
\(941\) | 2547.96 | − | 927.382i | 0.0882690 | − | 0.0321273i | −0.297508 | − | 0.954719i | \(-0.596156\pi\) |
0.385777 | + | 0.922592i | \(0.373933\pi\) | |||||||
\(942\) | −3749.78 | − | 1754.16i | −0.129697 | − | 0.0606725i | ||||
\(943\) | −7047.87 | − | 39970.4i | −0.243383 | − | 1.38029i | ||||
\(944\) | −4190.47 | −0.144479 | ||||||||
\(945\) | 491.729 | − | 488.122i | 0.0169269 | − | 0.0168028i | ||||
\(946\) | −3408.68 | −0.117152 | ||||||||
\(947\) | 4493.52 | + | 25484.0i | 0.154192 | + | 0.874466i | 0.959521 | + | 0.281638i | \(0.0908777\pi\) |
−0.805329 | + | 0.592828i | \(0.798011\pi\) | |||||||
\(948\) | 4093.37 | − | 2858.73i | 0.140239 | − | 0.0979401i | ||||
\(949\) | −219.994 | + | 80.0714i | −0.00752510 | + | 0.00273891i | ||||
\(950\) | 5191.82 | + | 4356.45i | 0.177310 | + | 0.148781i | ||||
\(951\) | 10130.9 | − | 37624.3i | 0.345443 | − | 1.28291i | ||||
\(952\) | −6815.45 | − | 2480.62i | −0.232027 | − | 0.0844511i | ||||
\(953\) | 21304.4 | + | 36900.3i | 0.724152 | + | 1.25427i | 0.959322 | + | 0.282314i | \(0.0911021\pi\) |
−0.235170 | + | 0.971954i | \(0.575565\pi\) | |||||||
\(954\) | −3118.89 | − | 8634.93i | −0.105847 | − | 0.293046i | ||||
\(955\) | −124.818 | + | 216.191i | −0.00422933 | + | 0.00732541i | ||||
\(956\) | 15365.9 | − | 12893.5i | 0.519843 | − | 0.436200i | ||||
\(957\) | 31723.1 | − | 45187.2i | 1.07154 | − | 1.52633i | ||||
\(958\) | 2066.41 | − | 11719.2i | 0.0696896 | − | 0.395230i | ||||
\(959\) | −861.385 | + | 4885.16i | −0.0290048 | + | 0.164494i | ||||
\(960\) | 404.744 | + | 870.765i | 0.0136074 | + | 0.0292748i | ||||
\(961\) | 47255.7 | − | 39652.3i | 1.58624 | − | 1.33101i | ||||
\(962\) | 116.721 | − | 202.167i | 0.00391190 | − | 0.00677561i | ||||
\(963\) | −56669.9 | + | 9849.12i | −1.89632 | + | 0.329578i | ||||
\(964\) | −4886.46 | − | 8463.59i | −0.163260 | − | 0.282774i | ||||
\(965\) | 1676.13 | + | 610.060i | 0.0559134 | + | 0.0203508i | ||||
\(966\) | 4014.51 | − | 1070.41i | 0.133711 | − | 0.0356520i | ||||
\(967\) | 33864.2 | + | 28415.4i | 1.12616 | + | 0.944962i | 0.998899 | − | 0.0469069i | \(-0.0149364\pi\) |
0.127263 | + | 0.991869i | \(0.459381\pi\) | |||||||
\(968\) | 3031.47 | − | 1103.37i | 0.100656 | − | 0.0366359i | ||||
\(969\) | 2830.86 | + | 32820.5i | 0.0938496 | + | 1.08808i | ||||
\(970\) | 16.2789 | + | 92.3222i | 0.000538849 | + | 0.00305597i | ||||
\(971\) | −23241.5 | −0.768132 | −0.384066 | − | 0.923306i | \(-0.625476\pi\) | ||||
−0.384066 | + | 0.923306i | \(0.625476\pi\) | |||||||
\(972\) | −20190.6 | − | 20439.9i | −0.666271 | − | 0.674495i | ||||
\(973\) | 15145.8 | 0.499026 | ||||||||
\(974\) | 1445.66 | + | 8198.76i | 0.0475585 | + | 0.269718i | ||||
\(975\) | −97.6308 | − | 1131.92i | −0.00320686 | − | 0.0371798i | ||||
\(976\) | 13654.1 | − | 4969.70i | 0.447805 | − | 0.162988i | ||||
\(977\) | −18242.9 | − | 15307.6i | −0.597383 | − | 0.501263i | 0.293221 | − | 0.956045i | \(-0.405273\pi\) |
−0.890603 | + | 0.454781i | \(0.849717\pi\) | |||||||
\(978\) | 10596.4 | − | 2825.36i | 0.346457 | − | 0.0923775i | ||||
\(979\) | 52974.3 | + | 19281.1i | 1.72938 | + | 0.629444i | ||||
\(980\) | 489.094 | + | 847.135i | 0.0159424 | + | 0.0276130i | ||||
\(981\) | 32153.6 | − | 5588.23i | 1.04647 | − | 0.181874i | ||||
\(982\) | −5928.69 | + | 10268.8i | −0.192660 | + | 0.333697i | ||||
\(983\) | −17952.9 | + | 15064.2i | −0.582510 | + | 0.488784i | −0.885770 | − | 0.464124i | \(-0.846369\pi\) |
0.303260 | + | 0.952908i | \(0.401925\pi\) | |||||||
\(984\) | −6910.67 | − | 14867.6i | −0.223886 | − | 0.481667i | ||||
\(985\) | 174.580 | − | 990.091i | 0.00564728 | − | 0.0320273i | ||||
\(986\) | −2199.80 | + | 12475.7i | −0.0710506 | + | 0.402948i | ||||
\(987\) | −5698.05 | + | 8116.45i | −0.183760 | + | 0.261752i | ||||
\(988\) | −858.649 | + | 720.492i | −0.0276491 | + | 0.0232003i | ||||
\(989\) | 8405.74 | − | 14559.2i | 0.270260 | − | 0.468104i | ||||
\(990\) | −123.566 | − | 342.105i | −0.00396687 | − | 0.0109826i | ||||
\(991\) | 29.3251 | + | 50.7926i | 0.000940004 | + | 0.00162813i | 0.866495 | − | 0.499186i | \(-0.166367\pi\) |
−0.865555 | + | 0.500814i | \(0.833034\pi\) | |||||||
\(992\) | −32765.3 | − | 11925.6i | −1.04869 | − | 0.381691i | ||||
\(993\) | −865.062 | + | 3212.68i | −0.0276454 | + | 0.102670i | ||||
\(994\) | −3420.46 | − | 2870.11i | −0.109145 | − | 0.0915838i | ||||
\(995\) | 642.833 | − | 233.972i | 0.0204816 | − | 0.00745469i | ||||
\(996\) | 27305.9 | − | 19069.9i | 0.868695 | − | 0.606680i | ||||
\(997\) | 6906.86 | + | 39170.8i | 0.219401 | + | 1.24428i | 0.873105 | + | 0.487533i | \(0.162103\pi\) |
−0.653704 | + | 0.756750i | \(0.726786\pi\) | |||||||
\(998\) | −1001.79 | −0.0317746 | ||||||||
\(999\) | −27976.0 | − | 7606.60i | −0.886006 | − | 0.240903i |
(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 | 27.4.e.a.13.5 | ✓ | 48 | |
3.2 | odd | 2 | 81.4.e.a.10.4 | 48 | |||
9.2 | odd | 6 | 243.4.e.b.109.4 | 48 | |||
9.4 | even | 3 | 243.4.e.d.190.4 | 48 | |||
9.5 | odd | 6 | 243.4.e.a.190.5 | 48 | |||
9.7 | even | 3 | 243.4.e.c.109.5 | 48 | |||
27.2 | odd | 18 | 81.4.e.a.73.4 | 48 | |||
27.5 | odd | 18 | 729.4.a.c.1.13 | 24 | |||
27.7 | even | 9 | 243.4.e.c.136.5 | 48 | |||
27.11 | odd | 18 | 243.4.e.a.55.5 | 48 | |||
27.16 | even | 9 | 243.4.e.d.55.4 | 48 | |||
27.20 | odd | 18 | 243.4.e.b.136.4 | 48 | |||
27.22 | even | 9 | 729.4.a.d.1.12 | 24 | |||
27.25 | even | 9 | inner | 27.4.e.a.25.5 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.4.e.a.13.5 | ✓ | 48 | 1.1 | even | 1 | trivial | |
27.4.e.a.25.5 | yes | 48 | 27.25 | even | 9 | inner | |
81.4.e.a.10.4 | 48 | 3.2 | odd | 2 | |||
81.4.e.a.73.4 | 48 | 27.2 | odd | 18 | |||
243.4.e.a.55.5 | 48 | 27.11 | odd | 18 | |||
243.4.e.a.190.5 | 48 | 9.5 | odd | 6 | |||
243.4.e.b.109.4 | 48 | 9.2 | odd | 6 | |||
243.4.e.b.136.4 | 48 | 27.20 | odd | 18 | |||
243.4.e.c.109.5 | 48 | 9.7 | even | 3 | |||
243.4.e.c.136.5 | 48 | 27.7 | even | 9 | |||
243.4.e.d.55.4 | 48 | 27.16 | even | 9 | |||
243.4.e.d.190.4 | 48 | 9.4 | even | 3 | |||
729.4.a.c.1.13 | 24 | 27.5 | odd | 18 | |||
729.4.a.d.1.12 | 24 | 27.22 | even | 9 |