Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 22.6 | ||
Character | \(\chi\) | \(=\) | 81.22 |
Dual form | 81.2.g.a.70.6 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.769149 | + | 0.815251i | 0.543871 | + | 0.576469i | 0.939763 | − | 0.341828i | \(-0.111046\pi\) |
−0.395892 | + | 0.918297i | \(0.629564\pi\) | |||||||
\(3\) | 1.01586 | + | 1.40286i | 0.586508 | + | 0.809944i | ||||
\(4\) | 0.0432467 | − | 0.742517i | 0.0216233 | − | 0.371258i | ||||
\(5\) | −0.631979 | + | 0.0738678i | −0.282630 | + | 0.0330347i | −0.256227 | − | 0.966617i | \(-0.582479\pi\) |
−0.0264030 | + | 0.999651i | \(0.508405\pi\) | |||||||
\(6\) | −0.362336 | + | 1.90719i | −0.147923 | + | 0.778608i | ||||
\(7\) | −4.36639 | − | 2.19288i | −1.65034 | − | 0.828832i | −0.997449 | − | 0.0713808i | \(-0.977259\pi\) |
−0.652892 | − | 0.757451i | \(-0.726444\pi\) | |||||||
\(8\) | 2.35579 | − | 1.97674i | 0.832897 | − | 0.698883i | ||||
\(9\) | −0.936052 | + | 2.85023i | −0.312017 | + | 0.950076i | ||||
\(10\) | −0.546307 | − | 0.458406i | −0.172758 | − | 0.144961i | ||||
\(11\) | 0.510467 | + | 1.18340i | 0.153912 | + | 0.356807i | 0.977674 | − | 0.210128i | \(-0.0673882\pi\) |
−0.823762 | + | 0.566935i | \(0.808129\pi\) | |||||||
\(12\) | 1.08558 | − | 0.693625i | 0.313381 | − | 0.200232i | ||||
\(13\) | 1.03603 | + | 0.245543i | 0.287342 | + | 0.0681014i | 0.371759 | − | 0.928329i | \(-0.378755\pi\) |
−0.0844171 | + | 0.996431i | \(0.526903\pi\) | |||||||
\(14\) | −1.57066 | − | 5.24636i | −0.419776 | − | 1.40215i | ||||
\(15\) | −0.745630 | − | 0.811541i | −0.192521 | − | 0.209539i | ||||
\(16\) | 1.94600 | + | 0.227455i | 0.486500 | + | 0.0568637i | ||||
\(17\) | −0.556231 | + | 3.15454i | −0.134906 | + | 0.765088i | 0.840020 | + | 0.542556i | \(0.182543\pi\) |
−0.974925 | + | 0.222532i | \(0.928568\pi\) | |||||||
\(18\) | −3.04362 | + | 1.42914i | −0.717387 | + | 0.336850i | ||||
\(19\) | −0.503624 | − | 2.85619i | −0.115539 | − | 0.655256i | −0.986482 | − | 0.163871i | \(-0.947602\pi\) |
0.870942 | − | 0.491385i | \(-0.163509\pi\) | |||||||
\(20\) | 0.0275171 | + | 0.472450i | 0.00615300 | + | 0.105643i | ||||
\(21\) | −1.35933 | − | 8.35312i | −0.296630 | − | 1.82280i | ||||
\(22\) | −0.572139 | + | 1.32637i | −0.121980 | + | 0.282782i | ||||
\(23\) | 6.50235 | − | 3.26560i | 1.35583 | − | 0.680926i | 0.385503 | − | 0.922706i | \(-0.374028\pi\) |
0.970331 | + | 0.241781i | \(0.0777315\pi\) | |||||||
\(24\) | 5.16625 | + | 1.29675i | 1.05456 | + | 0.264699i | ||||
\(25\) | −4.47128 | + | 1.05971i | −0.894257 | + | 0.211943i | ||||
\(26\) | 0.596681 | + | 1.03348i | 0.117019 | + | 0.202682i | ||||
\(27\) | −4.94938 | + | 1.58228i | −0.952509 | + | 0.304511i | ||||
\(28\) | −1.81709 | + | 3.14728i | −0.343397 | + | 0.594781i | ||||
\(29\) | −1.59956 | + | 5.34289i | −0.297030 | + | 0.992150i | 0.671029 | + | 0.741431i | \(0.265852\pi\) |
−0.968060 | + | 0.250720i | \(0.919333\pi\) | |||||||
\(30\) | 0.0881090 | − | 1.23207i | 0.0160864 | − | 0.224944i | ||||
\(31\) | 1.10675 | + | 0.727918i | 0.198777 | + | 0.130738i | 0.644996 | − | 0.764186i | \(-0.276859\pi\) |
−0.446218 | + | 0.894924i | \(0.647230\pi\) | |||||||
\(32\) | −2.36151 | − | 3.17205i | −0.417459 | − | 0.560745i | ||||
\(33\) | −1.14158 | + | 1.91828i | −0.198723 | + | 0.333930i | ||||
\(34\) | −2.99957 | + | 1.97285i | −0.514421 | + | 0.338340i | ||||
\(35\) | 2.92145 | + | 1.06332i | 0.493816 | + | 0.179734i | ||||
\(36\) | 2.07586 | + | 0.818297i | 0.345977 | + | 0.136383i | ||||
\(37\) | 7.60871 | − | 2.76935i | 1.25086 | − | 0.455278i | 0.370171 | − | 0.928964i | \(-0.379299\pi\) |
0.880694 | + | 0.473686i | \(0.157077\pi\) | |||||||
\(38\) | 1.94115 | − | 2.60742i | 0.314897 | − | 0.422979i | ||||
\(39\) | 0.707997 | + | 1.70284i | 0.113370 | + | 0.272673i | ||||
\(40\) | −1.34279 | + | 1.42328i | −0.212314 | + | 0.225040i | ||||
\(41\) | −7.70460 | + | 8.16640i | −1.20326 | + | 1.27538i | −0.251735 | + | 0.967796i | \(0.581001\pi\) |
−0.951522 | + | 0.307581i | \(0.900480\pi\) | |||||||
\(42\) | 5.76436 | − | 7.53299i | 0.889459 | − | 1.16237i | ||||
\(43\) | 2.00746 | − | 2.69648i | 0.306134 | − | 0.411209i | −0.622258 | − | 0.782813i | \(-0.713784\pi\) |
0.928392 | + | 0.371603i | \(0.121192\pi\) | |||||||
\(44\) | 0.900767 | − | 0.327852i | 0.135796 | − | 0.0494256i | ||||
\(45\) | 0.381025 | − | 1.87043i | 0.0567999 | − | 0.278827i | ||||
\(46\) | 7.66357 | + | 2.78931i | 1.12993 | + | 0.411261i | ||||
\(47\) | 0.240857 | − | 0.158414i | 0.0351326 | − | 0.0231071i | −0.531821 | − | 0.846857i | \(-0.678492\pi\) |
0.566954 | + | 0.823750i | \(0.308122\pi\) | |||||||
\(48\) | 1.65778 | + | 2.96103i | 0.239280 | + | 0.427389i | ||||
\(49\) | 10.0765 | + | 13.5351i | 1.43950 | + | 1.93359i | ||||
\(50\) | −4.30302 | − | 2.83014i | −0.608539 | − | 0.400242i | ||||
\(51\) | −4.99044 | + | 2.42426i | −0.698802 | + | 0.339464i | ||||
\(52\) | 0.227125 | − | 0.758649i | 0.0314965 | − | 0.105206i | ||||
\(53\) | 2.40112 | − | 4.15887i | 0.329820 | − | 0.571264i | −0.652656 | − | 0.757654i | \(-0.726345\pi\) |
0.982476 | + | 0.186390i | \(0.0596788\pi\) | |||||||
\(54\) | −5.09677 | − | 2.81797i | −0.693583 | − | 0.383478i | ||||
\(55\) | −0.410019 | − | 0.710174i | −0.0552870 | − | 0.0957599i | ||||
\(56\) | −14.6211 | + | 3.46525i | −1.95382 | + | 0.463064i | ||||
\(57\) | 3.49524 | − | 3.60801i | 0.462956 | − | 0.477893i | ||||
\(58\) | −5.58610 | + | 2.80544i | −0.733490 | + | 0.368373i | ||||
\(59\) | −2.95295 | + | 6.84571i | −0.384441 | + | 0.891235i | 0.610615 | + | 0.791927i | \(0.290922\pi\) |
−0.995057 | + | 0.0993080i | \(0.968337\pi\) | |||||||
\(60\) | −0.634829 | + | 0.518546i | −0.0819561 | + | 0.0669440i | ||||
\(61\) | −0.202254 | − | 3.47256i | −0.0258959 | − | 0.444616i | −0.986189 | − | 0.165623i | \(-0.947037\pi\) |
0.960293 | − | 0.278993i | \(-0.0900005\pi\) | |||||||
\(62\) | 0.257817 | + | 1.46215i | 0.0327428 | + | 0.185694i | ||||
\(63\) | 10.3374 | − | 10.3926i | 1.30239 | − | 1.30934i | ||||
\(64\) | 1.45011 | − | 8.22397i | 0.181263 | − | 1.02800i | ||||
\(65\) | −0.672885 | − | 0.0786490i | −0.0834612 | − | 0.00975521i | ||||
\(66\) | −2.44192 | + | 0.544772i | −0.300580 | + | 0.0670568i | ||||
\(67\) | −2.70145 | − | 9.02348i | −0.330035 | − | 1.10239i | −0.948552 | − | 0.316622i | \(-0.897451\pi\) |
0.618517 | − | 0.785772i | \(-0.287734\pi\) | |||||||
\(68\) | 2.31824 | + | 0.549434i | 0.281128 | + | 0.0666287i | ||||
\(69\) | 11.1867 | + | 5.80451i | 1.34672 | + | 0.698781i | ||||
\(70\) | 1.38016 | + | 3.19957i | 0.164961 | + | 0.382422i | ||||
\(71\) | −7.54473 | − | 6.33078i | −0.895394 | − | 0.751325i | 0.0738903 | − | 0.997266i | \(-0.476459\pi\) |
−0.969285 | + | 0.245941i | \(0.920903\pi\) | |||||||
\(72\) | 3.42902 | + | 8.56487i | 0.404114 | + | 1.00938i | ||||
\(73\) | 0.548372 | − | 0.460138i | 0.0641821 | − | 0.0538551i | −0.610132 | − | 0.792300i | \(-0.708884\pi\) |
0.674314 | + | 0.738444i | \(0.264439\pi\) | |||||||
\(74\) | 8.10995 | + | 4.07297i | 0.942762 | + | 0.473473i | ||||
\(75\) | −6.02884 | − | 5.19608i | −0.696150 | − | 0.599991i | ||||
\(76\) | −2.14255 | + | 0.250429i | −0.245768 | + | 0.0287261i | ||||
\(77\) | 0.366151 | − | 6.28656i | 0.0417267 | − | 0.716420i | ||||
\(78\) | −0.843688 | + | 1.88693i | −0.0955289 | + | 0.213653i | ||||
\(79\) | 1.72401 | + | 1.82734i | 0.193966 | + | 0.205592i | 0.817056 | − | 0.576558i | \(-0.195605\pi\) |
−0.623090 | + | 0.782150i | \(0.714123\pi\) | |||||||
\(80\) | −1.24663 | −0.139378 | ||||||||
\(81\) | −7.24761 | − | 5.33592i | −0.805290 | − | 0.592881i | ||||
\(82\) | −12.5837 | −1.38963 | ||||||||
\(83\) | −4.81530 | − | 5.10392i | −0.528548 | − | 0.560228i | 0.407000 | − | 0.913428i | \(-0.366575\pi\) |
−0.935548 | + | 0.353200i | \(0.885094\pi\) | |||||||
\(84\) | −6.26112 | + | 0.648081i | −0.683144 | + | 0.0707115i | ||||
\(85\) | 0.118507 | − | 2.03469i | 0.0128539 | − | 0.220693i | ||||
\(86\) | 3.74234 | − | 0.437417i | 0.403547 | − | 0.0471679i | ||||
\(87\) | −9.12028 | + | 3.18368i | −0.977796 | + | 0.341326i | ||||
\(88\) | 3.54182 | + | 1.77877i | 0.377559 | + | 0.189617i | ||||
\(89\) | 8.45966 | − | 7.09849i | 0.896722 | − | 0.752439i | −0.0728251 | − | 0.997345i | \(-0.523201\pi\) |
0.969547 | + | 0.244906i | \(0.0787570\pi\) | |||||||
\(90\) | 1.81793 | − | 1.12801i | 0.191627 | − | 0.118903i | ||||
\(91\) | −3.98525 | − | 3.34402i | −0.417768 | − | 0.350549i | ||||
\(92\) | −2.14356 | − | 4.96933i | −0.223482 | − | 0.518089i | ||||
\(93\) | 0.103130 | + | 2.29208i | 0.0106941 | + | 0.237677i | ||||
\(94\) | 0.314402 | + | 0.0745147i | 0.0324281 | + | 0.00768561i | ||||
\(95\) | 0.529261 | + | 1.76785i | 0.0543010 | + | 0.181378i | ||||
\(96\) | 2.05100 | − | 6.53524i | 0.209329 | − | 0.667000i | ||||
\(97\) | 8.87016 | + | 1.03677i | 0.900628 | + | 0.105268i | 0.553790 | − | 0.832656i | \(-0.313181\pi\) |
0.346839 | + | 0.937925i | \(0.387255\pi\) | |||||||
\(98\) | −3.28416 | + | 18.6254i | −0.331751 | + | 1.88145i | ||||
\(99\) | −3.85077 | + | 0.347228i | −0.387017 | + | 0.0348978i | ||||
\(100\) | 0.593487 | + | 3.36583i | 0.0593487 | + | 0.336583i | ||||
\(101\) | 0.119252 | + | 2.04747i | 0.0118660 | + | 0.203731i | 0.999030 | + | 0.0440242i | \(0.0140179\pi\) |
−0.987164 | + | 0.159707i | \(0.948945\pi\) | |||||||
\(102\) | −5.81478 | − | 2.20384i | −0.575749 | − | 0.218213i | ||||
\(103\) | 0.639863 | − | 1.48337i | 0.0630476 | − | 0.146161i | −0.883779 | − | 0.467904i | \(-0.845009\pi\) |
0.946827 | + | 0.321743i | \(0.104269\pi\) | |||||||
\(104\) | 2.92603 | − | 1.46951i | 0.286921 | − | 0.144097i | ||||
\(105\) | 1.47609 | + | 5.17859i | 0.144052 | + | 0.505378i | ||||
\(106\) | 5.23734 | − | 1.24127i | 0.508696 | − | 0.120563i | ||||
\(107\) | −0.631988 | − | 1.09464i | −0.0610966 | − | 0.105822i | 0.833859 | − | 0.551977i | \(-0.186126\pi\) |
−0.894956 | + | 0.446155i | \(0.852793\pi\) | |||||||
\(108\) | 0.960829 | + | 3.74343i | 0.0924558 | + | 0.360212i | ||||
\(109\) | −4.04713 | + | 7.00983i | −0.387645 | + | 0.671420i | −0.992132 | − | 0.125194i | \(-0.960045\pi\) |
0.604488 | + | 0.796615i | \(0.293378\pi\) | |||||||
\(110\) | 0.263604 | − | 0.880499i | 0.0251337 | − | 0.0839523i | ||||
\(111\) | 11.6144 | + | 7.86072i | 1.10239 | + | 0.746106i | ||||
\(112\) | −7.99822 | − | 5.26051i | −0.755760 | − | 0.497071i | ||||
\(113\) | 8.70857 | + | 11.6976i | 0.819234 | + | 1.10042i | 0.993286 | + | 0.115685i | \(0.0369064\pi\) |
−0.174052 | + | 0.984736i | \(0.555686\pi\) | |||||||
\(114\) | 5.62980 | + | 0.0743947i | 0.527279 | + | 0.00696770i | ||||
\(115\) | −3.86813 | + | 2.54411i | −0.360705 | + | 0.237239i | ||||
\(116\) | 3.89801 | + | 1.41876i | 0.361921 | + | 0.131729i | ||||
\(117\) | −1.66963 | + | 2.72307i | −0.154357 | + | 0.251748i | ||||
\(118\) | −7.85223 | + | 2.85798i | −0.722856 | + | 0.263098i | ||||
\(119\) | 9.34626 | − | 12.5542i | 0.856770 | − | 1.15084i | ||||
\(120\) | −3.36075 | − | 0.437902i | −0.306793 | − | 0.0399748i | ||||
\(121\) | 6.40881 | − | 6.79294i | 0.582619 | − | 0.617540i | ||||
\(122\) | 2.67544 | − | 2.83580i | 0.242223 | − | 0.256742i | ||||
\(123\) | −19.2831 | − | 2.51257i | −1.73870 | − | 0.226551i | ||||
\(124\) | 0.588354 | − | 0.790297i | 0.0528358 | − | 0.0709708i | ||||
\(125\) | 5.73702 | − | 2.08811i | 0.513135 | − | 0.186766i | ||||
\(126\) | 16.4235 | + | 0.434132i | 1.46313 | + | 0.0386756i | ||||
\(127\) | −5.89930 | − | 2.14717i | −0.523478 | − | 0.190531i | 0.0667457 | − | 0.997770i | \(-0.478738\pi\) |
−0.590224 | + | 0.807240i | \(0.700961\pi\) | |||||||
\(128\) | 1.21195 | − | 0.797114i | 0.107123 | − | 0.0704556i | ||||
\(129\) | 5.82209 | + | 0.0769357i | 0.512606 | + | 0.00677381i | ||||
\(130\) | −0.453431 | − | 0.609063i | −0.0397685 | − | 0.0534184i | ||||
\(131\) | 14.6440 | + | 9.63148i | 1.27945 | + | 0.841507i | 0.993174 | − | 0.116641i | \(-0.0372127\pi\) |
0.286275 | + | 0.958148i | \(0.407583\pi\) | |||||||
\(132\) | 1.37499 | + | 0.930601i | 0.119677 | + | 0.0809984i | ||||
\(133\) | −4.06428 | + | 13.5757i | −0.352418 | + | 1.17716i | ||||
\(134\) | 5.27858 | − | 9.14277i | 0.456000 | − | 0.789815i | ||||
\(135\) | 3.01103 | − | 1.36557i | 0.259148 | − | 0.117530i | ||||
\(136\) | 4.92535 | + | 8.53095i | 0.422345 | + | 0.731523i | ||||
\(137\) | 15.6459 | − | 3.70815i | 1.33672 | − | 0.316809i | 0.500755 | − | 0.865589i | \(-0.333056\pi\) |
0.835967 | + | 0.548780i | \(0.184908\pi\) | |||||||
\(138\) | 3.87210 | + | 13.5845i | 0.329615 | + | 1.15639i | ||||
\(139\) | −3.55183 | + | 1.78380i | −0.301263 | + | 0.151300i | −0.593009 | − | 0.805196i | \(-0.702060\pi\) |
0.291746 | + | 0.956496i | \(0.405764\pi\) | |||||||
\(140\) | 0.915877 | − | 2.12324i | 0.0774058 | − | 0.179447i | ||||
\(141\) | 0.466911 | + | 0.176963i | 0.0393210 | + | 0.0149030i | ||||
\(142\) | −0.641851 | − | 11.0202i | −0.0538630 | − | 0.924791i | ||||
\(143\) | 0.238283 | + | 1.35137i | 0.0199262 | + | 0.113007i | ||||
\(144\) | −2.46986 | + | 5.33364i | −0.205821 | + | 0.444470i | ||||
\(145\) | 0.616219 | − | 3.49475i | 0.0511742 | − | 0.290223i | ||||
\(146\) | 0.796908 | + | 0.0931452i | 0.0659526 | + | 0.00770875i | ||||
\(147\) | −8.75157 | + | 27.8858i | −0.721818 | + | 2.29998i | ||||
\(148\) | −1.72723 | − | 5.76936i | −0.141978 | − | 0.474239i | ||||
\(149\) | −17.6704 | − | 4.18796i | −1.44761 | − | 0.343091i | −0.569678 | − | 0.821868i | \(-0.692932\pi\) |
−0.877936 | + | 0.478777i | \(0.841080\pi\) | |||||||
\(150\) | −0.400970 | − | 8.91157i | −0.0327391 | − | 0.727627i | ||||
\(151\) | −3.71180 | − | 8.60491i | −0.302062 | − | 0.700258i | 0.697810 | − | 0.716283i | \(-0.254158\pi\) |
−0.999872 | + | 0.0160253i | \(0.994899\pi\) | |||||||
\(152\) | −6.83239 | − | 5.73305i | −0.554180 | − | 0.465012i | ||||
\(153\) | −8.47050 | − | 4.53820i | −0.684800 | − | 0.366892i | ||||
\(154\) | 5.40675 | − | 4.53680i | 0.435688 | − | 0.365586i | ||||
\(155\) | −0.753210 | − | 0.378276i | −0.0604993 | − | 0.0303839i | ||||
\(156\) | 1.29501 | − | 0.452057i | 0.103684 | − | 0.0361935i | ||||
\(157\) | −21.5345 | + | 2.51702i | −1.71864 | + | 0.200880i | −0.917539 | − | 0.397646i | \(-0.869827\pi\) |
−0.801103 | + | 0.598527i | \(0.795753\pi\) | |||||||
\(158\) | −0.163722 | + | 2.81099i | −0.0130250 | + | 0.223631i | ||||
\(159\) | 8.27353 | − | 0.856384i | 0.656133 | − | 0.0679157i | ||||
\(160\) | 1.72674 | + | 1.83023i | 0.136510 | + | 0.144693i | ||||
\(161\) | −35.5529 | −2.80196 | ||||||||
\(162\) | −1.22438 | − | 10.0127i | −0.0961965 | − | 0.786676i | ||||
\(163\) | 6.67203 | 0.522594 | 0.261297 | − | 0.965258i | \(-0.415850\pi\) | ||||
0.261297 | + | 0.965258i | \(0.415850\pi\) | |||||||
\(164\) | 5.73049 | + | 6.07397i | 0.447476 | + | 0.474297i | ||||
\(165\) | 0.579755 | − | 1.29664i | 0.0451339 | − | 0.100943i | ||||
\(166\) | 0.457290 | − | 7.85136i | 0.0354926 | − | 0.609384i | ||||
\(167\) | −5.54722 | + | 0.648377i | −0.429257 | + | 0.0501729i | −0.327979 | − | 0.944685i | \(-0.606367\pi\) |
−0.101278 | + | 0.994858i | \(0.532293\pi\) | |||||||
\(168\) | −19.7142 | − | 16.9911i | −1.52099 | − | 1.31089i | ||||
\(169\) | −10.6042 | − | 5.32561i | −0.815705 | − | 0.409662i | ||||
\(170\) | 1.74993 | − | 1.46837i | 0.134214 | − | 0.112619i | ||||
\(171\) | 8.61223 | + | 1.23810i | 0.658594 | + | 0.0946800i | ||||
\(172\) | −1.91537 | − | 1.60718i | −0.146045 | − | 0.122547i | ||||
\(173\) | −1.07834 | − | 2.49987i | −0.0819845 | − | 0.190061i | 0.872293 | − | 0.488984i | \(-0.162632\pi\) |
−0.954278 | + | 0.298922i | \(0.903373\pi\) | |||||||
\(174\) | −9.61035 | − | 4.98659i | −0.728559 | − | 0.378032i | ||||
\(175\) | 21.8472 | + | 5.17788i | 1.65149 | + | 0.391411i | ||||
\(176\) | 0.724200 | + | 2.41900i | 0.0545886 | + | 0.182339i | ||||
\(177\) | −12.6034 | + | 2.81170i | −0.947328 | + | 0.211341i | ||||
\(178\) | 12.2938 | + | 1.43694i | 0.921459 | + | 0.107703i | ||||
\(179\) | −3.12839 | + | 17.7420i | −0.233827 | + | 1.32610i | 0.611242 | + | 0.791443i | \(0.290670\pi\) |
−0.845070 | + | 0.534656i | \(0.820441\pi\) | |||||||
\(180\) | −1.37235 | − | 0.363808i | −0.102289 | − | 0.0271166i | ||||
\(181\) | 2.60891 | + | 14.7958i | 0.193919 | + | 1.09977i | 0.913950 | + | 0.405826i | \(0.133016\pi\) |
−0.720032 | + | 0.693941i | \(0.755873\pi\) | |||||||
\(182\) | −0.339037 | − | 5.82103i | −0.0251311 | − | 0.431484i | ||||
\(183\) | 4.66606 | − | 3.81137i | 0.344925 | − | 0.281745i | ||||
\(184\) | 8.86291 | − | 20.5465i | 0.653382 | − | 1.51471i | ||||
\(185\) | −4.60398 | + | 2.31221i | −0.338492 | + | 0.169997i | ||||
\(186\) | −1.78929 | + | 1.84703i | −0.131197 | + | 0.135431i | ||||
\(187\) | −4.01701 | + | 0.952048i | −0.293753 | + | 0.0696206i | ||||
\(188\) | −0.107209 | − | 0.185691i | −0.00781902 | − | 0.0135429i | ||||
\(189\) | 25.0807 | + | 3.94455i | 1.82435 | + | 0.286923i | ||||
\(190\) | −1.03416 | + | 1.79122i | −0.0750261 | + | 0.129949i | ||||
\(191\) | 2.66343 | − | 8.89646i | 0.192719 | − | 0.643725i | −0.805942 | − | 0.591994i | \(-0.798341\pi\) |
0.998661 | − | 0.0517314i | \(-0.0164740\pi\) | |||||||
\(192\) | 13.0102 | − | 6.32011i | 0.938931 | − | 0.456115i | ||||
\(193\) | −1.87186 | − | 1.23114i | −0.134739 | − | 0.0886195i | 0.480350 | − | 0.877077i | \(-0.340510\pi\) |
−0.615089 | + | 0.788457i | \(0.710880\pi\) | |||||||
\(194\) | 5.97725 | + | 8.02884i | 0.429142 | + | 0.576437i | ||||
\(195\) | −0.573224 | − | 1.02386i | −0.0410494 | − | 0.0733203i | ||||
\(196\) | 10.4858 | − | 6.89664i | 0.748988 | − | 0.492617i | ||||
\(197\) | −17.0531 | − | 6.20681i | −1.21498 | − | 0.442217i | −0.346552 | − | 0.938031i | \(-0.612648\pi\) |
−0.868429 | + | 0.495814i | \(0.834870\pi\) | |||||||
\(198\) | −3.24490 | − | 2.87227i | −0.230605 | − | 0.204124i | ||||
\(199\) | −12.9625 | + | 4.71795i | −0.918884 | + | 0.334446i | −0.757794 | − | 0.652493i | \(-0.773723\pi\) |
−0.161090 | + | 0.986940i | \(0.551501\pi\) | |||||||
\(200\) | −8.43862 | + | 11.3350i | −0.596700 | + | 0.801507i | ||||
\(201\) | 9.91441 | − | 12.9564i | 0.699309 | − | 0.913872i | ||||
\(202\) | −1.57748 | + | 1.67203i | −0.110991 | + | 0.117644i | ||||
\(203\) | 18.7006 | − | 19.8215i | 1.31253 | − | 1.39120i | ||||
\(204\) | 1.58423 | + | 3.81033i | 0.110919 | + | 0.266776i | ||||
\(205\) | 4.26591 | − | 5.73012i | 0.297944 | − | 0.400209i | ||||
\(206\) | 1.70147 | − | 0.619284i | 0.118547 | − | 0.0431475i | ||||
\(207\) | 3.22118 | + | 21.5900i | 0.223888 | + | 1.50061i | ||||
\(208\) | 1.96026 | + | 0.713476i | 0.135920 | + | 0.0494707i | ||||
\(209\) | 3.12292 | − | 2.05398i | 0.216017 | − | 0.142077i | ||||
\(210\) | −3.08651 | + | 5.18649i | −0.212989 | + | 0.357902i | ||||
\(211\) | 4.14833 | + | 5.57218i | 0.285583 | + | 0.383604i | 0.921645 | − | 0.388033i | \(-0.126845\pi\) |
−0.636063 | + | 0.771638i | \(0.719438\pi\) | |||||||
\(212\) | −2.98419 | − | 1.96273i | −0.204955 | − | 0.134801i | ||||
\(213\) | 1.21682 | − | 17.0154i | 0.0833752 | − | 1.16588i | ||||
\(214\) | 0.406309 | − | 1.35717i | 0.0277747 | − | 0.0927740i | ||||
\(215\) | −1.06949 | + | 1.85241i | −0.0729384 | + | 0.126333i | ||||
\(216\) | −8.53193 | + | 13.5112i | −0.580524 | + | 0.919319i | ||||
\(217\) | −3.23624 | − | 5.60534i | −0.219690 | − | 0.380515i | ||||
\(218\) | −8.82762 | + | 2.09218i | −0.597882 | + | 0.141701i | ||||
\(219\) | 1.20258 | + | 0.301854i | 0.0812629 | + | 0.0203974i | ||||
\(220\) | −0.545048 | + | 0.273734i | −0.0367472 | + | 0.0184551i | ||||
\(221\) | −1.35085 | + | 3.13161i | −0.0908677 | + | 0.210655i | ||||
\(222\) | 2.52476 | + | 15.5147i | 0.169451 | + | 1.04128i | ||||
\(223\) | 1.08459 | + | 18.6217i | 0.0726294 | + | 1.24700i | 0.815973 | + | 0.578090i | \(0.196202\pi\) |
−0.743344 | + | 0.668910i | \(0.766761\pi\) | |||||||
\(224\) | 3.35532 | + | 19.0289i | 0.224186 | + | 1.27142i | ||||
\(225\) | 1.16493 | − | 13.7361i | 0.0776617 | − | 0.915742i | ||||
\(226\) | −2.83832 | + | 16.0969i | −0.188802 | + | 1.07075i | ||||
\(227\) | −3.42307 | − | 0.400099i | −0.227197 | − | 0.0265555i | 0.00173266 | − | 0.999998i | \(-0.499448\pi\) |
−0.228930 | + | 0.973443i | \(0.573523\pi\) | |||||||
\(228\) | −2.52785 | − | 2.75131i | −0.167411 | − | 0.182210i | ||||
\(229\) | 0.0146927 | + | 0.0490771i | 0.000970922 | + | 0.00324310i | 0.958474 | − | 0.285181i | \(-0.0920538\pi\) |
−0.957503 | + | 0.288424i | \(0.906869\pi\) | |||||||
\(230\) | −5.04926 | − | 1.19670i | −0.332938 | − | 0.0789078i | ||||
\(231\) | 9.19115 | − | 5.87262i | 0.604733 | − | 0.386390i | ||||
\(232\) | 6.79330 | + | 15.7486i | 0.446002 | + | 1.03395i | ||||
\(233\) | −6.38738 | − | 5.35965i | −0.418451 | − | 0.351122i | 0.409122 | − | 0.912480i | \(-0.365835\pi\) |
−0.827574 | + | 0.561357i | \(0.810279\pi\) | |||||||
\(234\) | −3.50418 | + | 0.733285i | −0.229076 | + | 0.0479363i | ||||
\(235\) | −0.140515 | + | 0.117906i | −0.00916619 | + | 0.00769134i | ||||
\(236\) | 4.95535 | + | 2.48867i | 0.322566 | + | 0.161999i | ||||
\(237\) | −0.812157 | + | 4.27487i | −0.0527553 | + | 0.277682i | ||||
\(238\) | 17.4235 | − | 2.03652i | 1.12940 | − | 0.132008i | ||||
\(239\) | 0.487619 | − | 8.37210i | 0.0315415 | − | 0.541546i | −0.945115 | − | 0.326738i | \(-0.894050\pi\) |
0.976656 | − | 0.214808i | \(-0.0689125\pi\) | |||||||
\(240\) | −1.26641 | − | 1.74886i | −0.0817462 | − | 0.112888i | ||||
\(241\) | 14.7750 | + | 15.6606i | 0.951740 | + | 1.00879i | 0.999951 | + | 0.00994793i | \(0.00316658\pi\) |
−0.0482108 | + | 0.998837i | \(0.515352\pi\) | |||||||
\(242\) | 10.4673 | 0.672862 | ||||||||
\(243\) | 0.123004 | − | 15.5880i | 0.00789068 | − | 0.999969i | ||||
\(244\) | −2.58718 | −0.165627 | ||||||||
\(245\) | −7.36796 | − | 7.80958i | −0.470722 | − | 0.498936i | ||||
\(246\) | −12.7832 | − | 17.6531i | −0.815030 | − | 1.12552i | ||||
\(247\) | 0.179550 | − | 3.08276i | 0.0114245 | − | 0.196151i | ||||
\(248\) | 4.04616 | − | 0.472928i | 0.256932 | − | 0.0300310i | ||||
\(249\) | 2.26843 | − | 11.9401i | 0.143756 | − | 0.756672i | ||||
\(250\) | 6.11496 | + | 3.07105i | 0.386744 | + | 0.194230i | ||||
\(251\) | −9.73909 | + | 8.17207i | −0.614726 | + | 0.515816i | −0.896141 | − | 0.443770i | \(-0.853641\pi\) |
0.281415 | + | 0.959586i | \(0.409196\pi\) | |||||||
\(252\) | −7.26960 | − | 8.12513i | −0.457941 | − | 0.511835i | ||||
\(253\) | 7.18374 | + | 6.02787i | 0.451638 | + | 0.378969i | ||||
\(254\) | −2.78696 | − | 6.46090i | −0.174870 | − | 0.405393i | ||||
\(255\) | 2.97478 | − | 1.90071i | 0.186288 | − | 0.119027i | ||||
\(256\) | −14.6695 | − | 3.47673i | −0.916841 | − | 0.217295i | ||||
\(257\) | 5.81669 | + | 19.4291i | 0.362835 | + | 1.21195i | 0.923398 | + | 0.383843i | \(0.125400\pi\) |
−0.560563 | + | 0.828112i | \(0.689415\pi\) | |||||||
\(258\) | 4.41534 | + | 4.80564i | 0.274887 | + | 0.299186i | ||||
\(259\) | −39.2955 | − | 4.59298i | −2.44170 | − | 0.285394i | ||||
\(260\) | −0.0874983 | + | 0.496227i | −0.00542641 | + | 0.0307747i | ||||
\(261\) | −13.7312 | − | 9.56033i | −0.849940 | − | 0.591770i | ||||
\(262\) | 3.41132 | + | 19.3466i | 0.210752 | + | 1.19523i | ||||
\(263\) | 1.38952 | + | 23.8572i | 0.0856816 | + | 1.47110i | 0.717813 | + | 0.696236i | \(0.245143\pi\) |
−0.632131 | + | 0.774861i | \(0.717820\pi\) | |||||||
\(264\) | 1.10263 | + | 6.77567i | 0.0678620 | + | 0.417014i | ||||
\(265\) | −1.21025 | + | 2.80568i | −0.0743453 | + | 0.172352i | ||||
\(266\) | −14.1936 | + | 7.12829i | −0.870266 | + | 0.437064i | ||||
\(267\) | 18.5521 | + | 4.65666i | 1.13537 | + | 0.284983i | ||||
\(268\) | −6.81692 | + | 1.61564i | −0.416409 | + | 0.0986909i | ||||
\(269\) | 1.98020 | + | 3.42981i | 0.120735 | + | 0.209119i | 0.920058 | − | 0.391783i | \(-0.128141\pi\) |
−0.799323 | + | 0.600902i | \(0.794808\pi\) | |||||||
\(270\) | 3.42921 | + | 1.40441i | 0.208695 | + | 0.0854699i | ||||
\(271\) | 10.5343 | − | 18.2459i | 0.639911 | − | 1.10836i | −0.345541 | − | 0.938404i | \(-0.612304\pi\) |
0.985452 | − | 0.169955i | \(-0.0543622\pi\) | |||||||
\(272\) | −1.79994 | + | 6.01222i | −0.109137 | + | 0.364544i | ||||
\(273\) | 0.642745 | − | 8.98783i | 0.0389007 | − | 0.543968i | ||||
\(274\) | 15.0571 | + | 9.90323i | 0.909635 | + | 0.598276i | ||||
\(275\) | −3.53650 | − | 4.75035i | −0.213259 | − | 0.286457i | ||||
\(276\) | 4.79374 | − | 8.05528i | 0.288549 | − | 0.484871i | ||||
\(277\) | 14.7304 | − | 9.68833i | 0.885064 | − | 0.582116i | −0.0235642 | − | 0.999722i | \(-0.507501\pi\) |
0.908628 | + | 0.417607i | \(0.137131\pi\) | |||||||
\(278\) | −4.18613 | − | 1.52363i | −0.251068 | − | 0.0913811i | ||||
\(279\) | −3.11070 | + | 2.47311i | −0.186233 | + | 0.148061i | ||||
\(280\) | 8.98423 | − | 3.26999i | 0.536911 | − | 0.195419i | ||||
\(281\) | 1.90328 | − | 2.55655i | 0.113540 | − | 0.152511i | −0.741720 | − | 0.670709i | \(-0.765990\pi\) |
0.855260 | + | 0.518199i | \(0.173397\pi\) | |||||||
\(282\) | 0.214855 | + | 0.516760i | 0.0127944 | + | 0.0307726i | ||||
\(283\) | −8.36596 | + | 8.86740i | −0.497305 | + | 0.527112i | −0.926598 | − | 0.376053i | \(-0.877281\pi\) |
0.429293 | + | 0.903165i | \(0.358763\pi\) | |||||||
\(284\) | −5.02699 | + | 5.32830i | −0.298297 | + | 0.316177i | ||||
\(285\) | −1.94240 | + | 2.53838i | −0.115058 | + | 0.150360i | ||||
\(286\) | −0.918431 | + | 1.23367i | −0.0543080 | + | 0.0729483i | ||||
\(287\) | 51.5493 | − | 18.7624i | 3.04286 | − | 1.10751i | ||||
\(288\) | 11.2516 | − | 3.76163i | 0.663005 | − | 0.221656i | ||||
\(289\) | 6.33304 | + | 2.30504i | 0.372532 | + | 0.135590i | ||||
\(290\) | 3.32307 | − | 2.18561i | 0.195137 | − | 0.128344i | ||||
\(291\) | 7.55640 | + | 13.4968i | 0.442964 | + | 0.791199i | ||||
\(292\) | −0.317945 | − | 0.427075i | −0.0186063 | − | 0.0249927i | ||||
\(293\) | −8.15239 | − | 5.36191i | −0.476268 | − | 0.313246i | 0.288582 | − | 0.957455i | \(-0.406816\pi\) |
−0.764849 | + | 0.644209i | \(0.777187\pi\) | |||||||
\(294\) | −29.4652 | + | 14.3136i | −1.71844 | + | 0.834787i | ||||
\(295\) | 1.36053 | − | 4.54447i | 0.0792129 | − | 0.264589i | ||||
\(296\) | 12.4502 | − | 21.5644i | 0.723655 | − | 1.25341i | ||||
\(297\) | −4.39896 | − | 5.04937i | −0.255254 | − | 0.292994i | ||||
\(298\) | −10.1769 | − | 17.6270i | −0.589534 | − | 1.02110i | ||||
\(299\) | 7.53846 | − | 1.78665i | 0.435960 | − | 0.103325i | ||||
\(300\) | −4.11890 | + | 4.25180i | −0.237805 | + | 0.245478i | ||||
\(301\) | −14.6784 | + | 7.37177i | −0.846049 | + | 0.424902i | ||||
\(302\) | 4.16023 | − | 9.64451i | 0.239395 | − | 0.554979i | ||||
\(303\) | −2.75118 | + | 2.24724i | −0.158051 | + | 0.129101i | ||||
\(304\) | −0.330398 | − | 5.67271i | −0.0189496 | − | 0.325352i | ||||
\(305\) | 0.384330 | + | 2.17964i | 0.0220067 | + | 0.124806i | ||||
\(306\) | −2.81531 | − | 10.3961i | −0.160941 | − | 0.594308i | ||||
\(307\) | 2.00120 | − | 11.3493i | 0.114214 | − | 0.647741i | −0.872922 | − | 0.487860i | \(-0.837778\pi\) |
0.987136 | − | 0.159881i | \(-0.0511112\pi\) | |||||||
\(308\) | −4.65204 | − | 0.543746i | −0.265075 | − | 0.0309828i | ||||
\(309\) | 2.73098 | − | 0.609257i | 0.155360 | − | 0.0346594i | ||||
\(310\) | −0.270941 | − | 0.905006i | −0.0153884 | − | 0.0514009i | ||||
\(311\) | −8.11379 | − | 1.92300i | −0.460091 | − | 0.109043i | −0.00596708 | − | 0.999982i | \(-0.501899\pi\) |
−0.454124 | + | 0.890939i | \(0.650048\pi\) | |||||||
\(312\) | 5.03397 | + | 2.61201i | 0.284992 | + | 0.147876i | ||||
\(313\) | −4.16677 | − | 9.65965i | −0.235520 | − | 0.545996i | 0.758935 | − | 0.651167i | \(-0.225720\pi\) |
−0.994454 | + | 0.105171i | \(0.966461\pi\) | |||||||
\(314\) | −18.6153 | − | 15.6201i | −1.05052 | − | 0.881491i | ||||
\(315\) | −5.76534 | + | 7.33148i | −0.324840 | + | 0.413082i | ||||
\(316\) | 1.43139 | − | 1.20108i | 0.0805218 | − | 0.0675658i | ||||
\(317\) | −6.38317 | − | 3.20575i | −0.358515 | − | 0.180053i | 0.260420 | − | 0.965495i | \(-0.416139\pi\) |
−0.618934 | + | 0.785443i | \(0.712435\pi\) | |||||||
\(318\) | 7.06175 | + | 6.08631i | 0.396003 | + | 0.341304i | ||||
\(319\) | −7.13928 | + | 0.834462i | −0.399723 | + | 0.0467209i | ||||
\(320\) | −0.308952 | + | 5.30449i | −0.0172709 | + | 0.296530i | ||||
\(321\) | 0.893612 | − | 1.99859i | 0.0498766 | − | 0.111550i | ||||
\(322\) | −27.3455 | − | 28.9845i | −1.52391 | − | 1.61525i | ||||
\(323\) | 9.29011 | 0.516916 | ||||||||
\(324\) | −4.27545 | + | 5.15071i | −0.237525 | + | 0.286151i | ||||
\(325\) | −4.89258 | −0.271391 | ||||||||
\(326\) | 5.13179 | + | 5.43938i | 0.284224 | + | 0.301259i | ||||
\(327\) | −13.9452 | + | 1.44345i | −0.771169 | + | 0.0798229i | ||||
\(328\) | −2.00755 | + | 34.4683i | −0.110848 | + | 1.90319i | ||||
\(329\) | −1.39906 | + | 0.163527i | −0.0771327 | + | 0.00901552i | ||||
\(330\) | 1.50300 | − | 0.524664i | 0.0827377 | − | 0.0288818i | ||||
\(331\) | 11.5207 | + | 5.78592i | 0.633236 | + | 0.318023i | 0.736304 | − | 0.676651i | \(-0.236570\pi\) |
−0.103068 | + | 0.994674i | \(0.532866\pi\) | |||||||
\(332\) | −3.99799 | + | 3.35472i | −0.219418 | + | 0.184114i | ||||
\(333\) | 0.771119 | + | 24.2788i | 0.0422570 | + | 1.33047i | ||||
\(334\) | −4.79523 | − | 4.02368i | −0.262384 | − | 0.220166i | ||||
\(335\) | 2.37381 | + | 5.50310i | 0.129695 | + | 0.300667i | ||||
\(336\) | −0.745301 | − | 16.5644i | −0.0406595 | − | 0.903659i | ||||
\(337\) | 1.46459 | + | 0.347115i | 0.0797814 | + | 0.0189085i | 0.270313 | − | 0.962773i | \(-0.412873\pi\) |
−0.190531 | + | 0.981681i | \(0.561021\pi\) | |||||||
\(338\) | −3.81448 | − | 12.7412i | −0.207480 | − | 0.693032i | ||||
\(339\) | −7.56350 | + | 24.1001i | −0.410793 | + | 1.30894i | ||||
\(340\) | −1.50567 | − | 0.175987i | −0.0816563 | − | 0.00954425i | ||||
\(341\) | −0.296458 | + | 1.68130i | −0.0160541 | + | 0.0910472i | ||||
\(342\) | 5.61473 | + | 7.97341i | 0.303610 | + | 0.431153i | ||||
\(343\) | −8.37784 | − | 47.5131i | −0.452361 | − | 2.56546i | ||||
\(344\) | −0.601104 | − | 10.3206i | −0.0324093 | − | 0.556447i | ||||
\(345\) | −7.49852 | − | 2.84200i | −0.403707 | − | 0.153008i | ||||
\(346\) | 1.20862 | − | 2.80189i | 0.0649756 | − | 0.150630i | ||||
\(347\) | −2.51756 | + | 1.26437i | −0.135150 | + | 0.0678748i | −0.515089 | − | 0.857137i | \(-0.672241\pi\) |
0.379939 | + | 0.925011i | \(0.375945\pi\) | |||||||
\(348\) | 1.96951 | + | 6.90964i | 0.105577 | + | 0.370396i | ||||
\(349\) | 18.6582 | − | 4.42206i | 0.998748 | − | 0.236708i | 0.301445 | − | 0.953484i | \(-0.402531\pi\) |
0.697303 | + | 0.716776i | \(0.254383\pi\) | |||||||
\(350\) | 12.5825 | + | 21.7935i | 0.672562 | + | 1.16491i | ||||
\(351\) | −5.51621 | + | 0.424004i | −0.294434 | + | 0.0226317i | ||||
\(352\) | 2.54832 | − | 4.41383i | 0.135826 | − | 0.235258i | ||||
\(353\) | −0.110058 | + | 0.367621i | −0.00585782 | + | 0.0195665i | −0.960868 | − | 0.277005i | \(-0.910658\pi\) |
0.955011 | + | 0.296572i | \(0.0958433\pi\) | |||||||
\(354\) | −11.9861 | − | 8.11230i | −0.637056 | − | 0.431164i | ||||
\(355\) | 5.23575 | + | 3.44361i | 0.277885 | + | 0.182768i | ||||
\(356\) | −4.90490 | − | 6.58842i | −0.259959 | − | 0.349186i | ||||
\(357\) | 27.1063 | + | 0.358195i | 1.43462 | + | 0.0189577i | ||||
\(358\) | −16.8704 | + | 11.0958i | −0.891628 | + | 0.586433i | ||||
\(359\) | 0.663246 | + | 0.241402i | 0.0350048 | + | 0.0127407i | 0.359463 | − | 0.933159i | \(-0.382960\pi\) |
−0.324458 | + | 0.945900i | \(0.605182\pi\) | |||||||
\(360\) | −2.79974 | − | 5.15952i | −0.147559 | − | 0.271931i | ||||
\(361\) | 9.94995 | − | 3.62149i | 0.523682 | − | 0.190604i | ||||
\(362\) | −10.0557 | + | 13.5071i | −0.528515 | + | 0.709919i | ||||
\(363\) | 16.0400 | + | 2.09000i | 0.841883 | + | 0.109697i | ||||
\(364\) | −2.65534 | + | 2.81450i | −0.139178 | + | 0.147520i | ||||
\(365\) | −0.312570 | + | 0.331305i | −0.0163607 | + | 0.0173413i | ||||
\(366\) | 6.69612 | + | 0.872498i | 0.350012 | + | 0.0456062i | ||||
\(367\) | −4.50566 | + | 6.05216i | −0.235194 | + | 0.315920i | −0.904013 | − | 0.427505i | \(-0.859393\pi\) |
0.668819 | + | 0.743425i | \(0.266800\pi\) | |||||||
\(368\) | 13.3964 | − | 4.87588i | 0.698333 | − | 0.254173i | ||||
\(369\) | −16.0642 | − | 29.6041i | −0.836269 | − | 1.54113i | ||||
\(370\) | −5.42618 | − | 1.97497i | −0.282094 | − | 0.102674i | ||||
\(371\) | −19.6041 | + | 12.8939i | −1.01780 | + | 0.669415i | ||||
\(372\) | 1.70637 | + | 0.0225487i | 0.0884709 | + | 0.00116909i | ||||
\(373\) | −14.3163 | − | 19.2301i | −0.741270 | − | 0.995698i | −0.999561 | − | 0.0296312i | \(-0.990567\pi\) |
0.258291 | − | 0.966067i | \(-0.416841\pi\) | |||||||
\(374\) | −3.86584 | − | 2.54260i | −0.199898 | − | 0.131475i | ||||
\(375\) | 8.75735 | + | 5.92704i | 0.452228 | + | 0.306071i | ||||
\(376\) | 0.254264 | − | 0.849302i | 0.0131127 | − | 0.0437994i | ||||
\(377\) | −2.96909 | + | 5.14262i | −0.152916 | + | 0.264859i | ||||
\(378\) | 16.0750 | + | 23.4810i | 0.826809 | + | 1.20773i | ||||
\(379\) | 7.14810 | + | 12.3809i | 0.367173 | + | 0.635963i | 0.989122 | − | 0.147095i | \(-0.0469923\pi\) |
−0.621949 | + | 0.783058i | \(0.713659\pi\) | |||||||
\(380\) | 1.33555 | − | 0.316531i | 0.0685123 | − | 0.0162377i | ||||
\(381\) | −2.98068 | − | 10.4571i | −0.152705 | − | 0.535736i | ||||
\(382\) | 9.30142 | − | 4.67135i | 0.475902 | − | 0.239007i | ||||
\(383\) | 4.44078 | − | 10.2949i | 0.226913 | − | 0.526044i | −0.766282 | − | 0.642504i | \(-0.777896\pi\) |
0.993195 | + | 0.116460i | \(0.0371548\pi\) | |||||||
\(384\) | 2.34942 | + | 0.890447i | 0.119893 | + | 0.0454404i | ||||
\(385\) | 0.232975 | + | 4.00002i | 0.0118735 | + | 0.203860i | ||||
\(386\) | −0.436051 | − | 2.47297i | −0.0221944 | − | 0.125871i | ||||
\(387\) | 5.80651 | + | 8.24575i | 0.295161 | + | 0.419155i | ||||
\(388\) | 1.15343 | − | 6.54141i | 0.0585564 | − | 0.332090i | ||||
\(389\) | 8.63128 | + | 1.00885i | 0.437623 | + | 0.0511508i | 0.332052 | − | 0.943261i | \(-0.392259\pi\) |
0.105571 | + | 0.994412i | \(0.466333\pi\) | |||||||
\(390\) | 0.393810 | − | 1.25483i | 0.0199413 | − | 0.0635405i | ||||
\(391\) | 6.68467 | + | 22.3284i | 0.338059 | + | 1.12919i | ||||
\(392\) | 50.4936 | + | 11.9672i | 2.55031 | + | 0.604435i | ||||
\(393\) | 1.36457 | + | 30.3277i | 0.0688337 | + | 1.52983i | ||||
\(394\) | −8.05625 | − | 18.6765i | −0.405868 | − | 0.940908i | ||||
\(395\) | −1.22452 | − | 1.02749i | −0.0616121 | − | 0.0516987i | ||||
\(396\) | 0.0912899 | + | 2.87428i | 0.00458749 | + | 0.144438i | ||||
\(397\) | −23.1418 | + | 19.4183i | −1.16146 | + | 0.974577i | −0.999924 | − | 0.0122912i | \(-0.996088\pi\) |
−0.161531 | + | 0.986868i | \(0.551643\pi\) | |||||||
\(398\) | −13.8164 | − | 6.93885i | −0.692552 | − | 0.347813i | ||||
\(399\) | −23.1735 | + | 8.08934i | −1.16013 | + | 0.404974i | ||||
\(400\) | −8.94215 | + | 1.04519i | −0.447108 | + | 0.0522594i | ||||
\(401\) | −0.514129 | + | 8.82726i | −0.0256744 | + | 0.440812i | 0.960836 | + | 0.277116i | \(0.0893787\pi\) |
−0.986511 | + | 0.163696i | \(0.947658\pi\) | |||||||
\(402\) | 18.1884 | − | 1.88266i | 0.907153 | − | 0.0938984i | ||||
\(403\) | 0.967883 | + | 1.02590i | 0.0482137 | + | 0.0511035i | ||||
\(404\) | 1.52544 | 0.0758935 | ||||||||
\(405\) | 4.97449 | + | 2.83683i | 0.247185 | + | 0.140963i | ||||
\(406\) | 30.5431 | 1.51583 | ||||||||
\(407\) | 7.16123 | + | 7.59046i | 0.354969 | + | 0.376245i | ||||
\(408\) | −6.96429 | + | 15.5759i | −0.344784 | + | 0.771120i | ||||
\(409\) | 1.03205 | − | 17.7196i | 0.0510315 | − | 0.876177i | −0.871534 | − | 0.490335i | \(-0.836874\pi\) |
0.922565 | − | 0.385841i | \(-0.126089\pi\) | |||||||
\(410\) | 7.95261 | − | 0.929527i | 0.392751 | − | 0.0459060i | ||||
\(411\) | 21.0961 | + | 18.1821i | 1.04060 | + | 0.896859i | ||||
\(412\) | −1.07375 | − | 0.539260i | −0.0529001 | − | 0.0265674i | ||||
\(413\) | 27.9056 | − | 23.4156i | 1.37314 | − | 1.15220i | ||||
\(414\) | −15.1237 | + | 19.2320i | −0.743288 | + | 0.945201i | ||||
\(415\) | 3.42019 | + | 2.86988i | 0.167890 | + | 0.140877i | ||||
\(416\) | −1.66771 | − | 3.86619i | −0.0817662 | − | 0.189555i | ||||
\(417\) | −6.11059 | − | 3.17065i | −0.299237 | − | 0.155267i | ||||
\(418\) | 4.07650 | + | 0.966149i | 0.199388 | + | 0.0472559i | ||||
\(419\) | −8.84992 | − | 29.5608i | −0.432347 | − | 1.44414i | −0.845744 | − | 0.533588i | \(-0.820843\pi\) |
0.413398 | − | 0.910551i | \(-0.364342\pi\) | |||||||
\(420\) | 3.90902 | − | 0.872069i | 0.190741 | − | 0.0425526i | ||||
\(421\) | 14.9692 | + | 1.74965i | 0.729556 | + | 0.0852729i | 0.472758 | − | 0.881192i | \(-0.343258\pi\) |
0.256798 | + | 0.966465i | \(0.417332\pi\) | |||||||
\(422\) | −1.35203 | + | 7.66777i | −0.0658160 | + | 0.373261i | ||||
\(423\) | 0.226062 | + | 0.834782i | 0.0109915 | + | 0.0405885i | ||||
\(424\) | −2.56446 | − | 14.5438i | −0.124541 | − | 0.706309i | ||||
\(425\) | −0.855845 | − | 14.6943i | −0.0415146 | − | 0.712778i | ||||
\(426\) | 14.8077 | − | 12.0954i | 0.717438 | − | 0.586023i | ||||
\(427\) | −6.73180 | + | 15.6061i | −0.325775 | + | 0.755231i | ||||
\(428\) | −0.840117 | + | 0.421923i | −0.0406086 | + | 0.0203944i | ||||
\(429\) | −1.65373 | + | 1.70708i | −0.0798427 | + | 0.0824188i | ||||
\(430\) | −2.33277 | + | 0.552877i | −0.112496 | + | 0.0266621i | ||||
\(431\) | 17.5789 | + | 30.4476i | 0.846746 | + | 1.46661i | 0.884096 | + | 0.467305i | \(0.154775\pi\) |
−0.0373503 | + | 0.999302i | \(0.511892\pi\) | |||||||
\(432\) | −9.99139 | + | 1.95337i | −0.480711 | + | 0.0939813i | ||||
\(433\) | 8.96272 | − | 15.5239i | 0.430721 | − | 0.746030i | −0.566215 | − | 0.824258i | \(-0.691593\pi\) |
0.996936 | + | 0.0782276i | \(0.0249261\pi\) | |||||||
\(434\) | 2.08060 | − | 6.94969i | 0.0998720 | − | 0.333596i | ||||
\(435\) | 5.52865 | − | 2.68571i | 0.265079 | − | 0.128770i | ||||
\(436\) | 5.02990 | + | 3.30821i | 0.240888 | + | 0.158435i | ||||
\(437\) | −12.6019 | − | 16.9273i | −0.602833 | − | 0.809745i | ||||
\(438\) | 0.678878 | + | 1.21258i | 0.0324380 | + | 0.0579391i | ||||
\(439\) | −9.18347 | + | 6.04006i | −0.438303 | + | 0.288277i | −0.749420 | − | 0.662095i | \(-0.769667\pi\) |
0.311117 | + | 0.950372i | \(0.399297\pi\) | |||||||
\(440\) | −2.36975 | − | 0.862518i | −0.112973 | − | 0.0411189i | ||||
\(441\) | −48.0103 | + | 16.0508i | −2.28621 | + | 0.764325i | ||||
\(442\) | −3.59205 | + | 1.30740i | −0.170856 | + | 0.0621866i | ||||
\(443\) | −20.7988 | + | 27.9377i | −0.988182 | + | 1.32736i | −0.0436123 | + | 0.999049i | \(0.513887\pi\) |
−0.944570 | + | 0.328311i | \(0.893521\pi\) | |||||||
\(444\) | 6.33900 | − | 8.28395i | 0.300836 | − | 0.393139i | ||||
\(445\) | −4.82198 | + | 5.11100i | −0.228584 | + | 0.242285i | ||||
\(446\) | −14.3471 | + | 15.2071i | −0.679356 | + | 0.720075i | ||||
\(447\) | −12.0755 | − | 29.0435i | −0.571153 | − | 1.37371i | ||||
\(448\) | −24.3659 | + | 32.7291i | −1.15118 | + | 1.54631i | ||||
\(449\) | −2.60093 | + | 0.946659i | −0.122745 | + | 0.0446756i | −0.402663 | − | 0.915349i | \(-0.631915\pi\) |
0.279917 | + | 0.960024i | \(0.409693\pi\) | |||||||
\(450\) | 12.0944 | − | 9.61543i | 0.570135 | − | 0.453276i | ||||
\(451\) | −13.5970 | − | 4.94891i | −0.640259 | − | 0.233035i | ||||
\(452\) | 9.06232 | − | 5.96038i | 0.426255 | − | 0.280353i | ||||
\(453\) | 8.30085 | − | 13.9485i | 0.390008 | − | 0.655360i | ||||
\(454\) | −2.30667 | − | 3.09839i | −0.108257 | − | 0.145415i | ||||
\(455\) | 2.76561 | + | 1.81897i | 0.129654 | + | 0.0852747i | ||||
\(456\) | 1.10193 | − | 15.4089i | 0.0516028 | − | 0.721588i | ||||
\(457\) | 4.94747 | − | 16.5257i | 0.231433 | − | 0.773039i | −0.760837 | − | 0.648943i | \(-0.775212\pi\) |
0.992270 | − | 0.124097i | \(-0.0396033\pi\) | |||||||
\(458\) | −0.0287092 | + | 0.0497259i | −0.00134149 | + | 0.00232354i | ||||
\(459\) | −2.23838 | − | 16.4931i | −0.104479 | − | 0.769834i | ||||
\(460\) | 1.72176 | + | 2.98218i | 0.0802775 | + | 0.139045i | ||||
\(461\) | 20.7613 | − | 4.92052i | 0.966950 | − | 0.229171i | 0.283341 | − | 0.959019i | \(-0.408557\pi\) |
0.683610 | + | 0.729848i | \(0.260409\pi\) | |||||||
\(462\) | 11.8570 | + | 2.97617i | 0.551638 | + | 0.138464i | ||||
\(463\) | 34.3396 | − | 17.2460i | 1.59590 | − | 0.801489i | 0.595897 | − | 0.803061i | \(-0.296797\pi\) |
0.999999 | + | 0.00157159i | \(0.000500251\pi\) | |||||||
\(464\) | −4.32801 | + | 10.0334i | −0.200923 | + | 0.465791i | ||||
\(465\) | −0.234487 | − | 1.44093i | −0.0108741 | − | 0.0668214i | ||||
\(466\) | −0.543393 | − | 9.32969i | −0.0251722 | − | 0.432190i | ||||
\(467\) | −1.03840 | − | 5.88907i | −0.0480515 | − | 0.272514i | 0.951310 | − | 0.308235i | \(-0.0997383\pi\) |
−0.999362 | + | 0.0357213i | \(0.988627\pi\) | |||||||
\(468\) | 1.94972 | + | 1.35749i | 0.0901260 | + | 0.0627501i | ||||
\(469\) | −7.99185 | + | 45.3240i | −0.369029 | + | 2.09287i | ||||
\(470\) | −0.204200 | − | 0.0238676i | −0.00941904 | − | 0.00110093i | ||||
\(471\) | −25.4071 | − | 27.6530i | −1.17070 | − | 1.27418i | ||||
\(472\) | 6.57567 | + | 21.9643i | 0.302670 | + | 1.01099i | ||||
\(473\) | 4.21574 | + | 0.999149i | 0.193840 | + | 0.0459409i | ||||
\(474\) | −4.10976 | + | 2.62590i | −0.188767 | + | 0.120612i | ||||
\(475\) | 5.27859 | + | 12.2372i | 0.242199 | + | 0.561479i | ||||
\(476\) | −8.91752 | − | 7.48269i | −0.408734 | − | 0.342968i | ||||
\(477\) | 9.60615 | + | 10.7367i | 0.439835 | + | 0.491598i | ||||
\(478\) | 7.20041 | − | 6.04186i | 0.329339 | − | 0.276348i | ||||
\(479\) | −23.0643 | − | 11.5833i | −1.05383 | − | 0.529255i | −0.164435 | − | 0.986388i | \(-0.552580\pi\) |
−0.889399 | + | 0.457133i | \(0.848876\pi\) | |||||||
\(480\) | −0.813443 | + | 4.28164i | −0.0371284 | + | 0.195429i | ||||
\(481\) | 8.56283 | − | 1.00085i | 0.390431 | − | 0.0456349i | ||||
\(482\) | −1.40312 | + | 24.0906i | −0.0639103 | + | 1.09730i | ||||
\(483\) | −36.1168 | − | 49.8759i | −1.64337 | − | 2.26943i | ||||
\(484\) | −4.76671 | − | 5.05242i | −0.216669 | − | 0.229656i | ||||
\(485\) | −5.68234 | −0.258022 | ||||||||
\(486\) | 12.8027 | − | 11.8892i | 0.580743 | − | 0.539305i | ||||
\(487\) | 29.0960 | 1.31846 | 0.659232 | − | 0.751940i | \(-0.270882\pi\) | ||||
0.659232 | + | 0.751940i | \(0.270882\pi\) | |||||||
\(488\) | −7.34081 | − | 7.78081i | −0.332303 | − | 0.352221i | ||||
\(489\) | 6.77786 | + | 9.35995i | 0.306505 | + | 0.423272i | ||||
\(490\) | 0.699705 | − | 12.0135i | 0.0316095 | − | 0.542713i | ||||
\(491\) | −18.9320 | + | 2.21283i | −0.854390 | + | 0.0998638i | −0.532001 | − | 0.846744i | \(-0.678560\pi\) |
−0.322388 | + | 0.946607i | \(0.604486\pi\) | |||||||
\(492\) | −2.69956 | + | 14.2094i | −0.121706 | + | 0.640609i | ||||
\(493\) | −15.9647 | − | 8.01775i | −0.719012 | − | 0.361101i | ||||
\(494\) | 2.65132 | − | 2.22472i | 0.119289 | − | 0.100095i | ||||
\(495\) | 2.40796 | − | 0.503889i | 0.108230 | − | 0.0226481i | ||||
\(496\) | 1.98816 | + | 1.66826i | 0.0892709 | + | 0.0749072i | ||||
\(497\) | 19.0606 | + | 44.1874i | 0.854983 | + | 1.98207i | ||||
\(498\) | 11.4789 | − | 7.33438i | 0.514383 | − | 0.328661i | ||||
\(499\) | −15.4932 | − | 3.67197i | −0.693573 | − | 0.164380i | −0.131314 | − | 0.991341i | \(-0.541920\pi\) |
−0.562259 | + | 0.826961i | \(0.690068\pi\) | |||||||
\(500\) | −1.30235 | − | 4.35014i | −0.0582427 | − | 0.194544i | ||||
\(501\) | −6.54479 | − | 7.12333i | −0.292400 | − | 0.318247i | ||||
\(502\) | −14.1531 | − | 1.65426i | −0.631684 | − | 0.0738332i | ||||
\(503\) | −1.14734 | + | 6.50691i | −0.0511576 | + | 0.290129i | −0.999644 | − | 0.0266894i | \(-0.991503\pi\) |
0.948486 | + | 0.316818i | \(0.102615\pi\) | |||||||
\(504\) | 3.80930 | − | 44.9170i | 0.169680 | − | 2.00076i | ||||
\(505\) | −0.226607 | − | 1.28515i | −0.0100839 | − | 0.0571885i | ||||
\(506\) | 0.611141 | + | 10.4929i | 0.0271685 | + | 0.466466i | ||||
\(507\) | −3.30125 | − | 20.2863i | −0.146614 | − | 0.900945i | ||||
\(508\) | −1.84944 | + | 4.28747i | −0.0820554 | + | 0.190226i | ||||
\(509\) | 10.6138 | − | 5.33043i | 0.470447 | − | 0.236267i | −0.197749 | − | 0.980253i | \(-0.563363\pi\) |
0.668196 | + | 0.743985i | \(0.267067\pi\) | |||||||
\(510\) | 3.83761 | + | 0.963259i | 0.169932 | + | 0.0426538i | ||||
\(511\) | −3.40344 | + | 0.806629i | −0.150559 | + | 0.0356832i | ||||
\(512\) | −9.89920 | − | 17.1459i | −0.437487 | − | 0.757749i | ||||
\(513\) | 7.01194 | + | 13.3395i | 0.309585 | + | 0.588954i | ||||
\(514\) | −11.3657 | + | 19.6860i | −0.501319 | + | 0.868310i | ||||
\(515\) | −0.294807 | + | 0.984724i | −0.0129907 | + | 0.0433921i | ||||
\(516\) | 0.308912 | − | 4.31967i | 0.0135991 | − | 0.190163i | ||||
\(517\) | 0.310416 | + | 0.204164i | 0.0136521 | + | 0.00897912i | ||||
\(518\) | −26.4797 | − | 35.5684i | −1.16345 | − | 1.56278i | ||||
\(519\) | 2.41153 | − | 4.05228i | 0.105855 | − | 0.177875i | ||||
\(520\) | −1.74064 | + | 1.14484i | −0.0763323 | + | 0.0502045i | ||||
\(521\) | −25.4188 | − | 9.25170i | −1.11362 | − | 0.405324i | −0.281299 | − | 0.959620i | \(-0.590765\pi\) |
−0.832320 | + | 0.554296i | \(0.812988\pi\) | |||||||
\(522\) | −2.76728 | − | 18.5477i | −0.121121 | − | 0.811811i | ||||
\(523\) | 9.46551 | − | 3.44517i | 0.413898 | − | 0.150647i | −0.126674 | − | 0.991944i | \(-0.540430\pi\) |
0.540572 | + | 0.841298i | \(0.318208\pi\) | |||||||
\(524\) | 7.78484 | − | 10.4569i | 0.340082 | − | 0.456810i | ||||
\(525\) | 14.9299 | + | 35.9086i | 0.651593 | + | 1.56718i | ||||
\(526\) | −18.3808 | + | 19.4826i | −0.801443 | + | 0.849480i | ||||
\(527\) | −2.91185 | + | 3.08638i | −0.126842 | + | 0.134445i | ||||
\(528\) | −2.65783 | + | 3.47332i | −0.115667 | + | 0.151157i | ||||
\(529\) | 17.8818 | − | 24.0194i | 0.777469 | − | 1.04432i | ||||
\(530\) | −3.21820 | + | 1.17133i | −0.139790 | + | 0.0508793i | ||||
\(531\) | −16.7477 | − | 14.8245i | −0.726789 | − | 0.643330i | ||||
\(532\) | 9.90438 | + | 3.60490i | 0.429410 | + | 0.156292i | ||||
\(533\) | −9.98738 | + | 6.56880i | −0.432601 | + | 0.284526i | ||||
\(534\) | 10.4730 | + | 18.7062i | 0.453209 | + | 0.809498i | ||||
\(535\) | 0.480262 | + | 0.645103i | 0.0207635 | + | 0.0278903i | ||||
\(536\) | −24.2011 | − | 15.9173i | −1.04533 | − | 0.687524i | ||||
\(537\) | −28.0676 | + | 13.6347i | −1.21121 | + | 0.588381i | ||||
\(538\) | −1.27309 | + | 4.25240i | −0.0548866 | + | 0.183334i | ||||
\(539\) | −10.8737 | + | 18.8337i | −0.468362 | + | 0.811227i | ||||
\(540\) | −0.883743 | − | 2.29479i | −0.0380302 | − | 0.0987522i | ||||
\(541\) | 5.64232 | + | 9.77278i | 0.242582 | + | 0.420165i | 0.961449 | − | 0.274983i | \(-0.0886723\pi\) |
−0.718867 | + | 0.695148i | \(0.755339\pi\) | |||||||
\(542\) | 22.9774 | − | 5.44574i | 0.986964 | − | 0.233915i | ||||
\(543\) | −18.1063 | + | 18.6905i | −0.777014 | + | 0.802085i | ||||
\(544\) | 11.3199 | − | 5.68508i | 0.485337 | − | 0.243746i | ||||
\(545\) | 2.03990 | − | 4.72902i | 0.0873798 | − | 0.202569i | ||||
\(546\) | 7.82170 | − | 6.38899i | 0.334738 | − | 0.273423i | ||||
\(547\) | 1.19061 | + | 20.4420i | 0.0509069 | + | 0.874037i | 0.923025 | + | 0.384741i | \(0.125709\pi\) |
−0.872118 | + | 0.489296i | \(0.837254\pi\) | |||||||
\(548\) | −2.07673 | − | 11.7777i | −0.0887136 | − | 0.503120i | ||||
\(549\) | 10.0869 | + | 2.67403i | 0.430499 | + | 0.114125i | ||||
\(550\) | 1.15263 | − | 6.53686i | 0.0491481 | − | 0.278733i | ||||
\(551\) | 16.0659 | + | 1.87784i | 0.684431 | + | 0.0799985i | ||||
\(552\) | 37.8275 | − | 8.43898i | 1.61004 | − | 0.359187i | ||||
\(553\) | −3.52054 | − | 11.7594i | −0.149709 | − | 0.500061i | ||||
\(554\) | 19.2283 | + | 4.55719i | 0.816932 | + | 0.193616i | ||||
\(555\) | −7.92072 | − | 4.10988i | −0.336216 | − | 0.174455i | ||||
\(556\) | 1.17089 | + | 2.71444i | 0.0496570 | + | 0.115118i | ||||
\(557\) | −2.93819 | − | 2.46544i | −0.124495 | − | 0.104464i | 0.578414 | − | 0.815743i | \(-0.303672\pi\) |
−0.702910 | + | 0.711279i | \(0.748116\pi\) | |||||||
\(558\) | −4.40880 | − | 0.633813i | −0.186639 | − | 0.0268314i | ||||
\(559\) | 2.74188 | − | 2.30071i | 0.115969 | − | 0.0973097i | ||||
\(560\) | 5.44329 | + | 2.73372i | 0.230021 | + | 0.115521i | ||||
\(561\) | −5.41631 | − | 4.66816i | −0.228677 | − | 0.197090i | ||||
\(562\) | 3.54813 | − | 0.414717i | 0.149669 | − | 0.0174938i | ||||
\(563\) | 0.666342 | − | 11.4406i | 0.0280830 | − | 0.482166i | −0.954720 | − | 0.297507i | \(-0.903845\pi\) |
0.982803 | − | 0.184659i | \(-0.0591181\pi\) | |||||||
\(564\) | 0.151590 | − | 0.339036i | 0.00638310 | − | 0.0142760i | ||||
\(565\) | −6.36772 | − | 6.74939i | −0.267892 | − | 0.283949i | ||||
\(566\) | −13.6638 | −0.574334 | ||||||||
\(567\) | 19.9449 | + | 39.1919i | 0.837605 | + | 1.64591i | ||||
\(568\) | −30.2881 | −1.27086 | ||||||||
\(569\) | 6.67804 | + | 7.07830i | 0.279958 | + | 0.296738i | 0.852060 | − | 0.523445i | \(-0.175353\pi\) |
−0.572102 | + | 0.820183i | \(0.693872\pi\) | |||||||
\(570\) | −3.56341 | + | 0.368845i | −0.149255 | + | 0.0154492i | ||||
\(571\) | −0.276373 | + | 4.74514i | −0.0115659 | + | 0.198578i | 0.987575 | + | 0.157146i | \(0.0502292\pi\) |
−0.999141 | + | 0.0414325i | \(0.986808\pi\) | |||||||
\(572\) | 1.01372 | − | 0.118487i | 0.0423858 | − | 0.00495419i | ||||
\(573\) | 15.1862 | − | 5.30115i | 0.634412 | − | 0.221459i | ||||
\(574\) | 54.9452 | + | 27.5945i | 2.29337 | + | 1.15177i | ||||
\(575\) | −25.6133 | + | 21.4921i | −1.06815 | + | 0.896281i | ||||
\(576\) | 22.0828 | + | 11.8312i | 0.920118 | + | 0.492967i | ||||
\(577\) | 22.4127 | + | 18.8065i | 0.933054 | + | 0.782925i | 0.976363 | − | 0.216137i | \(-0.0693457\pi\) |
−0.0433095 | + | 0.999062i | \(0.513790\pi\) | |||||||
\(578\) | 2.99187 | + | 6.93593i | 0.124445 | + | 0.288497i | ||||
\(579\) | −0.174426 | − | 3.87663i | −0.00724891 | − | 0.161107i | ||||
\(580\) | −2.56826 | − | 0.608690i | −0.106641 | − | 0.0252745i | ||||
\(581\) | 9.83318 | + | 32.8451i | 0.407949 | + | 1.36265i | ||||
\(582\) | −5.19131 | + | 16.5415i | −0.215187 | + | 0.685665i | ||||
\(583\) | 6.14728 | + | 0.718514i | 0.254594 | + | 0.0297578i | ||||
\(584\) | 0.382273 | − | 2.16798i | 0.0158186 | − | 0.0897115i | ||||
\(585\) | 0.854023 | − | 1.84426i | 0.0353095 | − | 0.0762507i | ||||
\(586\) | −1.89910 | − | 10.7704i | −0.0784513 | − | 0.444919i | ||||
\(587\) | −2.55871 | − | 43.9314i | −0.105609 | − | 1.81324i | −0.470723 | − | 0.882281i | \(-0.656007\pi\) |
0.365113 | − | 0.930963i | \(-0.381030\pi\) | |||||||
\(588\) | 20.3272 | + | 7.70416i | 0.838279 | + | 0.317714i | ||||
\(589\) | 1.52169 | − | 3.52768i | 0.0627002 | − | 0.145355i | ||||
\(590\) | 4.75133 | − | 2.38621i | 0.195609 | − | 0.0982387i | ||||
\(591\) | −8.61624 | − | 30.2284i | −0.354425 | − | 1.24343i | ||||
\(592\) | 15.4365 | − | 3.65851i | 0.634435 | − | 0.150364i | ||||
\(593\) | 11.5538 | + | 20.0118i | 0.474457 | + | 0.821784i | 0.999572 | − | 0.0292472i | \(-0.00931100\pi\) |
−0.525115 | + | 0.851031i | \(0.675978\pi\) | |||||||
\(594\) | 0.733043 | − | 7.46998i | 0.0300771 | − | 0.306497i | ||||
\(595\) | −4.97929 | + | 8.62439i | −0.204131 | + | 0.353565i | ||||
\(596\) | −3.87381 | + | 12.9394i | −0.158678 | + | 0.530020i | ||||
\(597\) | −19.7867 | − | 13.3918i | −0.809815 | − | 0.548089i | ||||
\(598\) | 7.25477 | + | 4.77154i | 0.296670 | + | 0.195123i | ||||
\(599\) | 10.1872 | + | 13.6838i | 0.416238 | + | 0.559105i | 0.959952 | − | 0.280166i | \(-0.0903895\pi\) |
−0.543713 | + | 0.839271i | \(0.682982\pi\) | |||||||
\(600\) | −24.4740 | − | 0.323410i | −0.999145 | − | 0.0132032i | ||||
\(601\) | 1.96150 | − | 1.29010i | 0.0800112 | − | 0.0526242i | −0.508873 | − | 0.860842i | \(-0.669938\pi\) |
0.588884 | + | 0.808217i | \(0.299567\pi\) | |||||||
\(602\) | −17.2997 | − | 6.29659i | −0.705084 | − | 0.256630i | ||||
\(603\) | 28.2477 | + | 0.746686i | 1.15033 | + | 0.0304074i | ||||
\(604\) | −6.54981 | + | 2.38394i | −0.266508 | + | 0.0970010i | ||||
\(605\) | −3.54846 | + | 4.76640i | −0.144265 | + | 0.193782i | ||||
\(606\) | −3.94814 | − | 0.514438i | −0.160382 | − | 0.0208976i | ||||
\(607\) | 29.4446 | − | 31.2095i | 1.19512 | − | 1.26675i | 0.239920 | − | 0.970793i | \(-0.422879\pi\) |
0.955200 | − | 0.295961i | \(-0.0956398\pi\) | |||||||
\(608\) | −7.87069 | + | 8.34245i | −0.319199 | + | 0.338331i | ||||
\(609\) | 46.8041 | + | 6.09853i | 1.89660 | + | 0.247125i | ||||
\(610\) | −1.48135 | + | 1.98980i | −0.0599781 | + | 0.0805646i | ||||
\(611\) | 0.288432 | − | 0.104981i | 0.0116687 | − | 0.00424706i | ||||
\(612\) | −3.73601 | + | 6.09323i | −0.151019 | + | 0.246304i | ||||
\(613\) | −33.5629 | − | 12.2159i | −1.35559 | − | 0.493395i | −0.440903 | − | 0.897555i | \(-0.645342\pi\) |
−0.914688 | + | 0.404160i | \(0.867564\pi\) | |||||||
\(614\) | 10.7918 | − | 7.09786i | 0.435521 | − | 0.286446i | ||||
\(615\) | 12.3721 | + | 0.163491i | 0.498893 | + | 0.00659260i | ||||
\(616\) | −11.5643 | − | 15.5336i | −0.465940 | − | 0.625866i | ||||
\(617\) | 2.43550 | + | 1.60186i | 0.0980496 | + | 0.0644883i | 0.597587 | − | 0.801804i | \(-0.296126\pi\) |
−0.499537 | + | 0.866292i | \(0.666497\pi\) | |||||||
\(618\) | 2.59723 | + | 1.75782i | 0.104476 | + | 0.0707099i | ||||
\(619\) | 10.7627 | − | 35.9498i | 0.432588 | − | 1.44494i | −0.412814 | − | 0.910815i | \(-0.635454\pi\) |
0.845403 | − | 0.534130i | \(-0.179361\pi\) | |||||||
\(620\) | −0.313450 | + | 0.542912i | −0.0125885 | + | 0.0218039i | ||||
\(621\) | −27.0155 | + | 26.4513i | −1.08410 | + | 1.06145i | ||||
\(622\) | −4.67299 | − | 8.09385i | −0.187370 | − | 0.324534i | ||||
\(623\) | −52.5043 | + | 12.4438i | −2.10354 | + | 0.498549i | ||||
\(624\) | 0.990442 | + | 3.47477i | 0.0396494 | + | 0.139102i | ||||
\(625\) | 17.0604 | − | 8.56807i | 0.682417 | − | 0.342723i | ||||
\(626\) | 4.67017 | − | 10.8267i | 0.186658 | − | 0.432721i | ||||
\(627\) | 6.05391 | + | 2.29448i | 0.241770 | + | 0.0916326i | ||||
\(628\) | 0.937637 | + | 16.0986i | 0.0374158 | + | 0.642404i | ||||
\(629\) | 4.50381 | + | 25.5424i | 0.179579 | + | 1.01844i | ||||
\(630\) | −10.4114 | + | 0.938808i | −0.414800 | + | 0.0374030i | ||||
\(631\) | −3.38690 | + | 19.2081i | −0.134830 | + | 0.764661i | 0.840147 | + | 0.542358i | \(0.182468\pi\) |
−0.974978 | + | 0.222303i | \(0.928643\pi\) | |||||||
\(632\) | 7.67357 | + | 0.896911i | 0.305238 | + | 0.0356772i | ||||
\(633\) | −3.60287 | + | 11.4801i | −0.143201 | + | 0.456293i | ||||
\(634\) | −2.29612 | − | 7.66958i | −0.0911907 | − | 0.304598i | ||||
\(635\) | 3.88684 | + | 0.921199i | 0.154245 | + | 0.0365566i | ||||
\(636\) | −0.278077 | − | 6.18027i | −0.0110265 | − | 0.245064i | ||||
\(637\) | 7.11610 | + | 16.4970i | 0.281950 | + | 0.653634i | ||||
\(638\) | −6.17147 | − | 5.17848i | −0.244331 | − | 0.205018i | ||||
\(639\) | 25.1064 | − | 15.5783i | 0.993195 | − | 0.616267i | ||||
\(640\) | −0.707048 | + | 0.593284i | −0.0279485 | + | 0.0234516i | ||||
\(641\) | −2.07072 | − | 1.03996i | −0.0817887 | − | 0.0410758i | 0.407435 | − | 0.913234i | \(-0.366423\pi\) |
−0.489223 | + | 0.872159i | \(0.662720\pi\) | |||||||
\(642\) | 2.31667 | − | 0.808697i | 0.0914318 | − | 0.0319167i | ||||
\(643\) | 33.5504 | − | 3.92147i | 1.32310 | − | 0.154648i | 0.574954 | − | 0.818186i | \(-0.305020\pi\) |
0.748143 | + | 0.663538i | \(0.230946\pi\) | |||||||
\(644\) | −1.53755 | + | 26.3986i | −0.0605878 | + | 1.04025i | ||||
\(645\) | −3.68512 | + | 0.381443i | −0.145102 | + | 0.0150193i | ||||
\(646\) | 7.14549 | + | 7.57377i | 0.281135 | + | 0.297986i | ||||
\(647\) | 14.7156 | 0.578531 | 0.289266 | − | 0.957249i | \(-0.406589\pi\) | ||||
0.289266 | + | 0.957249i | \(0.406589\pi\) | |||||||
\(648\) | −27.6216 | + | 1.75635i | −1.08508 | + | 0.0689958i | ||||
\(649\) | −9.60856 | −0.377169 | ||||||||
\(650\) | −3.76312 | − | 3.98868i | −0.147602 | − | 0.156449i | ||||
\(651\) | 4.57595 | − | 10.2343i | 0.179346 | − | 0.401112i | ||||
\(652\) | 0.288543 | − | 4.95410i | 0.0113002 | − | 0.194017i | ||||
\(653\) | 22.9268 | − | 2.67976i | 0.897196 | − | 0.104867i | 0.345021 | − | 0.938595i | \(-0.387872\pi\) |
0.552176 | + | 0.833728i | \(0.313798\pi\) | |||||||
\(654\) | −11.9027 | − | 10.2586i | −0.465432 | − | 0.401142i | ||||
\(655\) | −9.96614 | − | 5.00518i | −0.389409 | − | 0.195569i | ||||
\(656\) | −16.8506 | + | 14.1394i | −0.657907 | + | 0.552050i | ||||
\(657\) | 0.798196 | + | 1.99370i | 0.0311406 | + | 0.0777816i | ||||
\(658\) | −1.20940 | − | 1.01481i | −0.0471474 | − | 0.0395614i | ||||
\(659\) | −15.8064 | − | 36.6432i | −0.615728 | − | 1.42742i | −0.885567 | − | 0.464513i | \(-0.846230\pi\) |
0.269838 | − | 0.962906i | \(-0.413030\pi\) | |||||||
\(660\) | −0.937704 | − | 0.486553i | −0.0365001 | − | 0.0189391i | ||||
\(661\) | −44.2445 | − | 10.4861i | −1.72091 | − | 0.407863i | −0.752773 | − | 0.658281i | \(-0.771284\pi\) |
−0.968138 | + | 0.250417i | \(0.919432\pi\) | |||||||
\(662\) | 4.14417 | + | 13.8425i | 0.161068 | + | 0.538004i | ||||
\(663\) | −5.76549 | + | 1.28623i | −0.223913 | + | 0.0499531i | ||||
\(664\) | −21.4330 | − | 2.50515i | −0.831760 | − | 0.0972188i | ||||
\(665\) | 1.56574 | − | 8.87975i | 0.0607168 | − | 0.344342i | ||||
\(666\) | −19.2002 | + | 19.3027i | −0.743994 | + | 0.747965i | ||||
\(667\) | 7.04689 | + | 39.9649i | 0.272857 | + | 1.54745i | ||||
\(668\) | 0.241532 | + | 4.14695i | 0.00934516 | + | 0.160450i | ||||
\(669\) | −25.0219 | + | 20.4386i | −0.967401 | + | 0.790201i | ||||
\(670\) | −2.66060 | + | 6.16796i | −0.102788 | + | 0.238289i | ||||
\(671\) | 4.00617 | − | 2.01197i | 0.154656 | − | 0.0776713i | ||||
\(672\) | −23.2865 | + | 24.0378i | −0.898295 | + | 0.927279i | ||||
\(673\) | −6.48102 | + | 1.53603i | −0.249825 | + | 0.0592096i | −0.353620 | − | 0.935389i | \(-0.615049\pi\) |
0.103795 | + | 0.994599i | \(0.466901\pi\) | |||||||
\(674\) | 0.843504 | + | 1.46099i | 0.0324906 | + | 0.0562753i | ||||
\(675\) | 20.4533 | − | 12.3198i | 0.787249 | − | 0.474188i | ||||
\(676\) | −4.41295 | + | 7.64346i | −0.169729 | + | 0.293979i | ||||
\(677\) | 11.0404 | − | 36.8775i | 0.424317 | − | 1.41732i | −0.432471 | − | 0.901648i | \(-0.642358\pi\) |
0.856788 | − | 0.515669i | \(-0.172457\pi\) | |||||||
\(678\) | −25.4651 | + | 12.3705i | −0.977981 | + | 0.475084i | ||||
\(679\) | −36.4571 | − | 23.9782i | −1.39909 | − | 0.920199i | ||||
\(680\) | −3.74288 | − | 5.02756i | −0.143533 | − | 0.192798i | ||||
\(681\) | −2.91608 | − | 5.20854i | −0.111744 | − | 0.199592i | ||||
\(682\) | −1.59870 | + | 1.05148i | −0.0612173 | + | 0.0402632i | ||||
\(683\) | 21.1340 | + | 7.69214i | 0.808669 | + | 0.294332i | 0.713074 | − | 0.701089i | \(-0.247302\pi\) |
0.0955953 | + | 0.995420i | \(0.469525\pi\) | |||||||
\(684\) | 1.29176 | − | 6.34118i | 0.0493917 | − | 0.242461i | ||||
\(685\) | −9.61399 | + | 3.49921i | −0.367332 | + | 0.133698i | ||||
\(686\) | 32.2913 | − | 43.3747i | 1.23289 | − | 1.65605i | ||||
\(687\) | −0.0539227 | + | 0.0704674i | −0.00205728 | + | 0.00268850i | ||||
\(688\) | 4.51984 | − | 4.79075i | 0.172317 | − | 0.182645i | ||||
\(689\) | 3.50881 | − | 3.71912i | 0.133675 | − | 0.141687i | ||||
\(690\) | −3.45054 | − | 8.29909i | −0.131360 | − | 0.315941i | ||||
\(691\) | −5.90117 | + | 7.92665i | −0.224491 | + | 0.301544i | −0.900071 | − | 0.435743i | \(-0.856486\pi\) |
0.675580 | + | 0.737286i | \(0.263893\pi\) | |||||||
\(692\) | −1.90283 | + | 0.692573i | −0.0723347 | + | 0.0263277i | ||||
\(693\) | 17.5754 | + | 6.92816i | 0.667635 | + | 0.263179i | ||||
\(694\) | −2.96716 | − | 1.07996i | −0.112632 | − | 0.0409946i | ||||
\(695\) | 2.11292 | − | 1.38969i | 0.0801476 | − | 0.0527139i | ||||
\(696\) | −15.1921 | + | 25.5285i | −0.575856 | + | 0.967655i | ||||
\(697\) | −21.4757 | − | 28.8469i | −0.813450 | − | 1.09265i | ||||
\(698\) | 17.9560 | + | 11.8098i | 0.679645 | + | 0.447009i | ||||
\(699\) | 1.03016 | − | 14.4053i | 0.0389644 | − | 0.544858i | ||||
\(700\) | 4.78948 | − | 15.9980i | 0.181025 | − | 0.604667i | ||||
\(701\) | 19.3268 | − | 33.4750i | 0.729963 | − | 1.26433i | −0.226935 | − | 0.973910i | \(-0.572870\pi\) |
0.956898 | − | 0.290424i | \(-0.0937963\pi\) | |||||||
\(702\) | −4.58846 | − | 4.17097i | −0.173180 | − | 0.157423i | ||||
\(703\) | −11.7417 | − | 20.3373i | −0.442847 | − | 0.767034i | ||||
\(704\) | 10.4724 | − | 2.48201i | 0.394695 | − | 0.0935444i | ||||
\(705\) | −0.308150 | − | 0.0773471i | −0.0116056 | − | 0.00291306i | ||||
\(706\) | −0.384354 | + | 0.193030i | −0.0144654 | + | 0.00726478i | ||||
\(707\) | 3.96917 | − | 9.20157i | 0.149276 | − | 0.346061i | ||||
\(708\) | 1.54268 | + | 9.47982i | 0.0579776 | + | 0.356274i | ||||
\(709\) | 0.537058 | + | 9.22093i | 0.0201696 | + | 0.346299i | 0.993263 | + | 0.115886i | \(0.0369707\pi\) |
−0.973093 | + | 0.230413i | \(0.925992\pi\) | |||||||
\(710\) | 1.21967 | + | 6.91710i | 0.0457735 | + | 0.259594i | ||||
\(711\) | −6.82209 | + | 3.20333i | −0.255848 | + | 0.120134i | ||||
\(712\) | 5.89727 | − | 33.4451i | 0.221010 | − | 1.25341i | ||||
\(713\) | 9.57354 | + | 1.11899i | 0.358532 | + | 0.0419064i | ||||
\(714\) | 20.5568 | + | 22.3740i | 0.769319 | + | 0.837325i | ||||
\(715\) | −0.250413 | − | 0.836437i | −0.00936491 | − | 0.0312810i | ||||
\(716\) | 13.0384 | + | 3.09017i | 0.487270 | + | 0.115485i | ||||
\(717\) | 12.2403 | − | 7.82083i | 0.457121 | − | 0.292074i | ||||
\(718\) | 0.313332 | + | 0.726385i | 0.0116935 | + | 0.0271085i | ||||
\(719\) | −19.5607 | − | 16.4133i | −0.729490 | − | 0.612115i | 0.200503 | − | 0.979693i | \(-0.435742\pi\) |
−0.929992 | + | 0.367579i | \(0.880187\pi\) | |||||||
\(720\) | 1.16691 | − | 3.55319i | 0.0434883 | − | 0.132420i | ||||
\(721\) | −6.04675 | + | 5.07382i | −0.225193 | + | 0.188959i | ||||
\(722\) | 10.6054 | + | 5.32624i | 0.394693 | + | 0.198222i | ||||
\(723\) | −6.96030 | + | 36.6362i | −0.258856 | + | 1.36252i | ||||
\(724\) | 11.0990 | − | 1.29729i | 0.412491 | − | 0.0482133i | ||||
\(725\) | 1.49014 | − | 25.5847i | 0.0553423 | − | 0.950190i | ||||
\(726\) | 10.6333 | + | 14.6842i | 0.394639 | + | 0.544981i | ||||
\(727\) | 10.2805 | + | 10.8967i | 0.381282 | + | 0.404135i | 0.889383 | − | 0.457162i | \(-0.151134\pi\) |
−0.508102 | + | 0.861297i | \(0.669653\pi\) | |||||||
\(728\) | −15.9987 | −0.592950 | ||||||||
\(729\) | 21.9928 | − | 15.6627i | 0.814546 | − | 0.580099i | ||||
\(730\) | −0.510510 | −0.0188948 | ||||||||
\(731\) | 7.38955 | + | 7.83247i | 0.273312 | + | 0.289694i | ||||
\(732\) | −2.62822 | − | 3.62946i | −0.0971417 | − | 0.134149i | ||||
\(733\) | −0.677439 | + | 11.6312i | −0.0250218 | + | 0.429607i | 0.962414 | + | 0.271587i | \(0.0875483\pi\) |
−0.987436 | + | 0.158021i | \(0.949489\pi\) | |||||||
\(734\) | −8.39955 | + | 0.981767i | −0.310033 | + | 0.0362377i | ||||
\(735\) | 3.47095 | − | 18.2697i | 0.128028 | − | 0.673888i | ||||
\(736\) | −25.7140 | − | 12.9141i | −0.947832 | − | 0.476019i | ||||
\(737\) | 9.29934 | − | 7.80308i | 0.342546 | − | 0.287430i | ||||
\(738\) | 11.7790 | − | 35.8663i | 0.433589 | − | 1.32026i | ||||
\(739\) | −8.96653 | − | 7.52381i | −0.329839 | − | 0.276768i | 0.462795 | − | 0.886465i | \(-0.346847\pi\) |
−0.792634 | + | 0.609697i | \(0.791291\pi\) | |||||||
\(740\) | 1.51775 | + | 3.51853i | 0.0557935 | + | 0.129344i | ||||
\(741\) | 4.50708 | − | 2.87977i | 0.165572 | − | 0.105791i | ||||
\(742\) | −25.5902 | − | 6.06500i | −0.939447 | − | 0.222653i | ||||
\(743\) | 6.88022 | + | 22.9815i | 0.252411 | + | 0.843111i | 0.986458 | + | 0.164013i | \(0.0524438\pi\) |
−0.734047 | + | 0.679098i | \(0.762371\pi\) | |||||||
\(744\) | 4.77379 | + | 5.19578i | 0.175016 | + | 0.190487i | ||||
\(745\) | 11.4767 | + | 1.34143i | 0.420473 | + | 0.0491462i | ||||
\(746\) | 4.66600 | − | 26.4622i | 0.170835 | − | 0.968851i | ||||
\(747\) | 19.0547 | − | 8.94718i | 0.697176 | − | 0.327360i | ||||
\(748\) | 0.533190 | + | 3.02387i | 0.0194953 | + | 0.110564i | ||||
\(749\) | 0.359099 | + | 6.16548i | 0.0131212 | + | 0.225282i | ||||
\(750\) | 1.90369 | + | 11.6982i | 0.0695129 | + | 0.427158i | ||||
\(751\) | −11.4967 | + | 26.6523i | −0.419519 | + | 0.972555i | 0.569121 | + | 0.822254i | \(0.307284\pi\) |
−0.988640 | + | 0.150301i | \(0.951976\pi\) | |||||||
\(752\) | 0.504740 | − | 0.253490i | 0.0184060 | − | 0.00924383i | ||||
\(753\) | −21.3579 | − | 5.36093i | −0.778323 | − | 0.195363i | ||||
\(754\) | −6.47620 | + | 1.53489i | −0.235849 | + | 0.0558973i | ||||
\(755\) | 2.98140 | + | 5.16394i | 0.108504 | + | 0.187935i | ||||
\(756\) | 4.01355 | − | 18.4523i | 0.145971 | − | 0.671102i | ||||
\(757\) | 8.16304 | − | 14.1388i | 0.296691 | − | 0.513883i | −0.678686 | − | 0.734428i | \(-0.737450\pi\) |
0.975377 | + | 0.220545i | \(0.0707836\pi\) | |||||||
\(758\) | −4.59556 | + | 15.3502i | −0.166918 | + | 0.557546i | ||||
\(759\) | −1.15860 | + | 16.2013i | −0.0420545 | + | 0.588069i | ||||
\(760\) | 4.74142 | + | 3.11848i | 0.171989 | + | 0.113119i | ||||
\(761\) | 31.2800 | + | 42.0164i | 1.13390 | + | 1.52309i | 0.818842 | + | 0.574019i | \(0.194616\pi\) |
0.315058 | + | 0.949073i | \(0.397976\pi\) | |||||||
\(762\) | 6.23260 | − | 10.4731i | 0.225783 | − | 0.379401i | ||||
\(763\) | 33.0431 | − | 21.7328i | 1.19624 | − | 0.786780i | ||||
\(764\) | −6.49059 | − | 2.36238i | −0.234821 | − | 0.0854680i | ||||
\(765\) | 5.68841 | + | 2.24235i | 0.205665 | + | 0.0810723i | ||||
\(766\) | 11.8085 | − | 4.29795i | 0.426660 | − | 0.155291i | ||||
\(767\) | −4.74025 | + | 6.36726i | −0.171161 | + | 0.229909i | ||||
\(768\) | −10.0248 | − | 24.1111i | −0.361737 | − | 0.870035i | ||||
\(769\) | −18.4673 | + | 19.5742i | −0.665949 | + | 0.705864i | −0.968986 | − | 0.247114i | \(-0.920518\pi\) |
0.303038 | + | 0.952979i | \(0.401999\pi\) | |||||||
\(770\) | −3.08183 | + | 3.26655i | −0.111061 | + | 0.117718i | ||||
\(771\) | −21.3474 | + | 27.8973i | −0.768809 | + | 1.00470i | ||||
\(772\) | −0.995095 | + | 1.33664i | −0.0358142 | + | 0.0481069i | ||||
\(773\) | −14.2662 | + | 5.19246i | −0.513118 | + | 0.186760i | −0.585585 | − | 0.810611i | \(-0.699135\pi\) |
0.0724667 | + | 0.997371i | \(0.476913\pi\) | |||||||
\(774\) | −2.25629 | + | 11.0760i | −0.0811006 | + | 0.398118i | ||||
\(775\) | −5.71996 | − | 2.08189i | −0.205467 | − | 0.0747838i | ||||
\(776\) | 22.9457 | − | 15.0916i | 0.823701 | − | 0.541757i | ||||
\(777\) | −33.4754 | − | 59.7920i | −1.20092 | − | 2.14503i | ||||
\(778\) | 5.81628 | + | 7.81262i | 0.208524 | + | 0.280096i | ||||
\(779\) | 27.2051 | + | 17.8930i | 0.974722 | + | 0.641085i | ||||
\(780\) | −0.785025 | + | 0.381350i | −0.0281084 | + | 0.0136545i | ||||
\(781\) | 3.64048 | − | 12.1600i | 0.130267 | − | 0.435121i | ||||
\(782\) | −13.0617 | + | 22.6235i | −0.467086 | + | 0.809016i | ||||
\(783\) | −0.537159 | − | 28.9750i | −0.0191965 | − | 1.03548i | ||||
\(784\) | 16.5303 | + | 28.6313i | 0.590367 | + | 1.02255i | ||||
\(785\) | 13.4234 | − | 3.18141i | 0.479103 | − | 0.113550i | ||||
\(786\) | −23.6751 | + | 24.4390i | −0.844464 | + | 0.871711i | ||||
\(787\) | −33.9097 | + | 17.0301i | −1.20875 | + | 0.607057i | −0.934967 | − | 0.354734i | \(-0.884571\pi\) |
−0.273783 | + | 0.961791i | \(0.588275\pi\) | |||||||
\(788\) | −5.34615 | + | 12.3938i | −0.190449 | + | 0.441510i | ||||
\(789\) | −32.0568 | + | 26.1849i | −1.14125 | + | 0.932207i | ||||
\(790\) | −0.104173 | − | 1.78858i | −0.00370631 | − | 0.0636349i | ||||
\(791\) | −12.3735 | − | 70.1734i | −0.439950 | − | 2.49508i | ||||
\(792\) | −8.38522 | + | 8.42997i | −0.297956 | + | 0.299546i | ||||
\(793\) | 0.643122 | − | 3.64733i | 0.0228379 | − | 0.129520i | ||||
\(794\) | −33.6303 | − | 3.93082i | −1.19350 | − | 0.139500i | ||||
\(795\) | −5.16544 | + | 1.15236i | −0.183199 | + | 0.0408701i | ||||
\(796\) | 2.94257 | + | 9.82888i | 0.104297 | + | 0.348375i | ||||
\(797\) | −48.9615 | − | 11.6041i | −1.73430 | − | 0.411038i | −0.762530 | − | 0.646953i | \(-0.776043\pi\) |
−0.971774 | + | 0.235915i | \(0.924191\pi\) | |||||||
\(798\) | −24.4188 | − | 12.6703i | −0.864415 | − | 0.448525i | ||||
\(799\) | 0.365752 | + | 0.847908i | 0.0129394 | + | 0.0299968i | ||||
\(800\) | 13.9204 | + | 11.6806i | 0.492162 | + | 0.412973i | ||||
\(801\) | 12.3137 | + | 30.7565i | 0.435082 | + | 1.08673i | ||||
\(802\) | −7.59188 | + | 6.37034i | −0.268078 | + | 0.224945i | ||||
\(803\) | 0.824451 | + | 0.414055i | 0.0290943 | + | 0.0146117i | ||||
\(804\) | −9.19156 | − | 7.92194i | −0.324161 | − | 0.279385i | ||||
\(805\) | 22.4687 | − | 2.62621i | 0.791918 | − | 0.0925619i | ||||
\(806\) | −0.0919159 | + | 1.57813i | −0.00323760 | + | 0.0555874i | ||||
\(807\) | −2.79995 | + | 6.26217i | −0.0985628 | + | 0.220439i | ||||
\(808\) | 4.32825 | + | 4.58768i | 0.152267 | + | 0.161394i | ||||
\(809\) | 43.6063 | 1.53311 | 0.766557 | − | 0.642176i | \(-0.221968\pi\) | ||||
0.766557 | + | 0.642176i | \(0.221968\pi\) | |||||||
\(810\) | 1.51340 | + | 6.23741i | 0.0531756 | + | 0.219160i | ||||
\(811\) | −31.3137 | −1.09957 | −0.549786 | − | 0.835305i | \(-0.685291\pi\) | ||||
−0.549786 | + | 0.835305i | \(0.685291\pi\) | |||||||
\(812\) | −13.9091 | − | 14.7428i | −0.488113 | − | 0.517369i | ||||
\(813\) | 36.2978 | − | 3.75715i | 1.27302 | − | 0.131769i | ||||
\(814\) | −0.680072 | + | 11.6764i | −0.0238365 | + | 0.409257i | ||||
\(815\) | −4.21659 | + | 0.492848i | −0.147701 | + | 0.0172637i | ||||
\(816\) | −10.2628 | + | 3.58251i | −0.359270 | + | 0.125413i | ||||
\(817\) | −8.71268 | − | 4.37567i | −0.304818 | − | 0.153085i | ||||
\(818\) | 15.2397 | − | 12.7876i | 0.532844 | − | 0.447109i | ||||
\(819\) | 13.2616 | − | 8.22870i | 0.463399 | − | 0.287534i | ||||
\(820\) | −4.07022 | − | 3.41532i | −0.142138 | − | 0.119268i | ||||
\(821\) | 8.05231 | + | 18.6674i | 0.281028 | + | 0.651495i | 0.999006 | − | 0.0445700i | \(-0.0141918\pi\) |
−0.717979 | + | 0.696065i | \(0.754933\pi\) | |||||||
\(822\) | 1.40308 | + | 31.1834i | 0.0489379 | + | 1.08765i | ||||
\(823\) | 28.9877 | + | 6.87021i | 1.01045 | + | 0.239481i | 0.702318 | − | 0.711864i | \(-0.252149\pi\) |
0.308130 | + | 0.951344i | \(0.400297\pi\) | |||||||
\(824\) | −1.42485 | − | 4.75935i | −0.0496372 | − | 0.165800i | ||||
\(825\) | 3.07149 | − | 9.78692i | 0.106936 | − | 0.340737i | ||||
\(826\) | 40.5531 | + | 4.73998i | 1.41102 | + | 0.164925i | ||||
\(827\) | −3.44072 | + | 19.5133i | −0.119646 | + | 0.678544i | 0.864699 | + | 0.502290i | \(0.167509\pi\) |
−0.984345 | + | 0.176254i | \(0.943602\pi\) | |||||||
\(828\) | 16.1702 | − | 1.45809i | 0.561954 | − | 0.0506720i | ||||
\(829\) | 0.225701 | + | 1.28002i | 0.00783893 | + | 0.0444568i | 0.988476 | − | 0.151376i | \(-0.0483703\pi\) |
−0.980637 | + | 0.195832i | \(0.937259\pi\) | |||||||
\(830\) | 0.290965 | + | 4.99567i | 0.0100995 | + | 0.173402i | ||||
\(831\) | 28.5554 | + | 10.8227i | 0.990577 | + | 0.375436i | ||||
\(832\) | 3.52169 | − | 8.16419i | 0.122093 | − | 0.283042i | ||||
\(833\) | −48.3019 | + | 24.2581i | −1.67356 | + | 0.840495i | ||||
\(834\) | −2.11509 | − | 7.42037i | −0.0732395 | − | 0.256946i | ||||
\(835\) | 3.45784 | − | 0.819522i | 0.119663 | − | 0.0283607i | ||||
\(836\) | −1.39006 | − | 2.40765i | −0.0480762 | − | 0.0832704i | ||||
\(837\) | −6.62948 | − | 1.85156i | −0.229148 | − | 0.0639992i | ||||
\(838\) | 17.2925 | − | 29.9516i | 0.597361 | − | 1.03466i | ||||
\(839\) | 1.53338 | − | 5.12185i | 0.0529381 | − | 0.176826i | −0.927432 | − | 0.373992i | \(-0.877989\pi\) |
0.980370 | + | 0.197166i | \(0.0631739\pi\) | |||||||
\(840\) | 13.7141 | + | 9.28179i | 0.473181 | + | 0.320252i | ||||
\(841\) | −1.75878 | − | 1.15677i | −0.0606475 | − | 0.0398885i | ||||
\(842\) | 10.0872 | + | 13.5494i | 0.347627 | + | 0.466944i | ||||
\(843\) | 5.51995 | + | 0.0729431i | 0.190117 | + | 0.00251230i | ||||
\(844\) | 4.31684 | − | 2.83923i | 0.148592 | − | 0.0977303i | ||||
\(845\) | 7.09500 | + | 2.58237i | 0.244075 | + | 0.0888362i | ||||
\(846\) | −0.506681 | + | 0.826369i | −0.0174201 | + | 0.0284112i | ||||
\(847\) | −42.8795 | + | 15.6069i | −1.47336 | + | 0.536258i | ||||
\(848\) | 5.61854 | − | 7.54701i | 0.192941 | − | 0.259165i | ||||
\(849\) | −20.9384 | − | 2.72825i | −0.718604 | − | 0.0936334i | ||||
\(850\) | 11.3213 | − | 11.9998i | 0.388316 | − | 0.411591i | ||||
\(851\) | 40.4310 | − | 42.8543i | 1.38596 | − | 1.46903i | ||||
\(852\) | −12.5816 | − | 1.63937i | −0.431039 | − | 0.0561639i | ||||
\(853\) | 11.5423 | − | 15.5039i | 0.395199 | − | 0.530845i | −0.559337 | − | 0.828941i | \(-0.688944\pi\) |
0.954536 | + | 0.298096i | \(0.0963515\pi\) | |||||||
\(854\) | −17.9006 | + | 6.51529i | −0.612547 | + | 0.222949i | ||||
\(855\) | −5.53421 | − | 0.146289i | −0.189266 | − | 0.00500296i | ||||
\(856\) | −3.65264 | − | 1.32945i | −0.124845 | − | 0.0454398i | ||||
\(857\) | −12.1152 | + | 7.96827i | −0.413846 | + | 0.272191i | −0.739312 | − | 0.673363i | \(-0.764849\pi\) |
0.325466 | + | 0.945554i | \(0.394479\pi\) | |||||||
\(858\) | −2.66367 | − | 0.0351989i | −0.0909360 | − | 0.00120167i | ||||
\(859\) | −8.01607 | − | 10.7675i | −0.273505 | − | 0.367381i | 0.644055 | − | 0.764980i | \(-0.277251\pi\) |
−0.917559 | + | 0.397599i | \(0.869844\pi\) | |||||||
\(860\) | 1.32919 | + | 0.874223i | 0.0453250 | + | 0.0298107i | ||||
\(861\) | 78.6880 | + | 53.2566i | 2.68168 | + | 1.81498i | ||||
\(862\) | −11.3016 | + | 37.7499i | −0.384934 | + | 1.28577i | ||||
\(863\) | −15.8150 | + | 27.3924i | −0.538350 | + | 0.932449i | 0.460644 | + | 0.887585i | \(0.347619\pi\) |
−0.998993 | + | 0.0448635i | \(0.985715\pi\) | |||||||
\(864\) | 16.7071 | + | 11.9631i | 0.568387 | + | 0.406994i | ||||
\(865\) | 0.866147 | + | 1.50021i | 0.0294499 | + | 0.0510087i | ||||
\(866\) | 19.5495 | − | 4.63332i | 0.664320 | − | 0.157447i | ||||
\(867\) | 3.19984 | + | 11.2260i | 0.108672 | + | 0.381255i | ||||
\(868\) | −4.30201 | + | 2.16055i | −0.146020 | + | 0.0733339i | ||||
\(869\) | −1.28242 | + | 2.97298i | −0.0435030 | + | 0.100851i | ||||
\(870\) | 6.44189 | + | 2.44153i | 0.218401 | + | 0.0827755i | ||||
\(871\) | −0.583126 | − | 10.0119i | −0.0197585 | − | 0.339240i | ||||
\(872\) | 4.32245 | + | 24.5138i | 0.146376 | + | 0.830142i | ||||
\(873\) | −11.2580 | + | 24.3115i | −0.381025 | + | 0.822820i | ||||
\(874\) | 4.10726 | − | 23.2934i | 0.138930 | − | 0.787911i | ||||
\(875\) | −29.6291 | − | 3.46314i | −1.00165 | − | 0.117076i | ||||
\(876\) | 0.276139 | − | 0.879883i | 0.00932988 | − | 0.0297285i | ||||
\(877\) | 2.79120 | + | 9.32326i | 0.0942521 | + | 0.314824i | 0.992095 | − | 0.125493i | \(-0.0400513\pi\) |
−0.897842 | + | 0.440317i | \(0.854866\pi\) | |||||||
\(878\) | −11.9876 | − | 2.84112i | −0.404563 | − | 0.0958832i | ||||
\(879\) | −0.759668 | − | 16.8836i | −0.0256230 | − | 0.569471i | ||||
\(880\) | −0.636365 | − | 1.47526i | −0.0214519 | − | 0.0497310i | ||||
\(881\) | 33.4253 | + | 28.0471i | 1.12613 | + | 0.944932i | 0.998898 | − | 0.0469414i | \(-0.0149474\pi\) |
0.127229 | + | 0.991873i | \(0.459392\pi\) | |||||||
\(882\) | −50.0126 | − | 26.7950i | −1.68401 | − | 0.902234i | ||||
\(883\) | 25.3708 | − | 21.2886i | 0.853796 | − | 0.716420i | −0.106826 | − | 0.994278i | \(-0.534069\pi\) |
0.960622 | + | 0.277858i | \(0.0896244\pi\) | |||||||
\(884\) | 2.26685 | + | 1.13846i | 0.0762426 | + | 0.0382905i | ||||
\(885\) | 7.75738 | − | 2.70792i | 0.260762 | − | 0.0910258i | ||||
\(886\) | −38.7736 | + | 4.53199i | −1.30263 | + | 0.152255i | ||||
\(887\) | 0.351801 | − | 6.04018i | 0.0118123 | − | 0.202809i | −0.987238 | − | 0.159249i | \(-0.949093\pi\) |
0.999051 | − | 0.0435606i | \(-0.0138702\pi\) | |||||||
\(888\) | 42.8997 | − | 4.44050i | 1.43962 | − | 0.149013i | ||||
\(889\) | 21.0502 | + | 22.3119i | 0.706000 | + | 0.748316i | ||||
\(890\) | −7.87557 | −0.263990 | ||||||||
\(891\) | 2.61484 | − | 11.3006i | 0.0876005 | − | 0.378585i | ||||
\(892\) | 13.8738 | 0.464530 | ||||||||
\(893\) | −0.573763 | − | 0.608153i | −0.0192003 | − | 0.0203511i | ||||
\(894\) | 14.3899 | − | 32.1834i | 0.481269 | − | 1.07637i | ||||
\(895\) | 0.666518 | − | 11.4437i | 0.0222792 | − | 0.382520i | ||||
\(896\) | −7.03984 | + | 0.822839i | −0.235184 | + | 0.0274891i | ||||
\(897\) | 10.1645 | + | 8.76044i | 0.339381 | + | 0.292503i | ||||
\(898\) | −2.77227 | − | 1.39228i | −0.0925117 | − | 0.0464611i | ||||
\(899\) | −5.65949 | + | 4.74887i | −0.188755 | + | 0.158384i | ||||
\(900\) | −10.1489 | − | 1.45902i | −0.338298 | − | 0.0486340i | ||||
\(901\) | 11.7837 | + | 9.88773i | 0.392573 | + | 0.329408i | ||||
\(902\) | −6.42354 | − | 14.8914i | −0.213880 | − | 0.495831i | ||||
\(903\) | −25.2528 | − | 13.1031i | −0.840361 | − | 0.436044i | ||||
\(904\) | 43.6388 | + | 10.3426i | 1.45140 | + | 0.343989i | ||||
\(905\) | −2.74171 | − | 9.15795i | −0.0911376 | − | 0.304421i | ||||
\(906\) | 17.7561 | − | 3.96124i | 0.589909 | − | 0.131603i | ||||
\(907\) | 25.6113 | + | 2.99353i | 0.850408 | + | 0.0993985i | 0.530121 | − | 0.847922i | \(-0.322147\pi\) |
0.320287 | + | 0.947320i | \(0.396221\pi\) | |||||||
\(908\) | −0.445117 | + | 2.52438i | −0.0147717 | + | 0.0837746i | ||||
\(909\) | −5.94739 | − | 1.57665i | −0.197263 | − | 0.0522940i | ||||
\(910\) | 0.644251 | + | 3.65373i | 0.0213567 | + | 0.121120i | ||||
\(911\) | 0.520786 | + | 8.94155i | 0.0172544 | + | 0.296247i | 0.995885 | + | 0.0906222i | \(0.0288856\pi\) |
−0.978631 | + | 0.205625i | \(0.934077\pi\) | |||||||
\(912\) | 7.62239 | − | 6.22619i | 0.252403 | − | 0.206170i | ||||
\(913\) | 3.58191 | − | 8.30379i | 0.118544 | − | 0.274815i | ||||
\(914\) | 17.2779 | − | 8.67730i | 0.571503 | − | 0.287020i | ||||
\(915\) | −2.66732 | + | 2.75338i | −0.0881788 | + | 0.0910239i | ||||
\(916\) | 0.0370760 | − | 0.00878717i | 0.00122502 | − | 0.000290336i | ||||
\(917\) | −42.8205 | − | 74.1673i | −1.41406 | − | 2.44922i | ||||
\(918\) | 11.7244 | − | 14.5105i | 0.386963 | − | 0.478919i | ||||
\(919\) | −20.9396 | + | 36.2685i | −0.690734 | + | 1.19639i | 0.280864 | + | 0.959748i | \(0.409379\pi\) |
−0.971598 | + | 0.236638i | \(0.923954\pi\) | |||||||
\(920\) | −4.08345 | + | 13.6397i | −0.134627 | + | 0.449687i | ||||
\(921\) | 17.9545 | − | 8.72195i | 0.591621 | − | 0.287398i | ||||
\(922\) | 19.9800 | + | 13.1411i | 0.658006 | + | 0.432778i | ||||
\(923\) | −6.26206 | − | 8.41141i | −0.206118 | − | 0.276865i | ||||
\(924\) | −3.96303 | − | 7.07855i | −0.130374 | − | 0.232867i | ||||
\(925\) | −31.0860 | + | 20.4456i | −1.02210 | + | 0.672247i | ||||
\(926\) | 40.4721 | + | 14.7306i | 1.33000 | + | 0.484079i | ||||
\(927\) | 3.62900 | + | 3.21227i | 0.119192 | + | 0.105505i | ||||
\(928\) | 20.7253 | − | 7.54340i | 0.680342 | − | 0.247624i | ||||
\(929\) | −12.5829 | + | 16.9017i | −0.412831 | + | 0.554528i | −0.959095 | − | 0.283085i | \(-0.908642\pi\) |
0.546264 | + | 0.837613i | \(0.316049\pi\) | |||||||
\(930\) | 0.994361 | − | 1.29945i | 0.0326064 | − | 0.0426107i | ||||
\(931\) | 33.5841 | − | 35.5971i | 1.10068 | − | 1.16665i | ||||
\(932\) | −4.25586 | + | 4.51095i | −0.139405 | + | 0.147761i | ||||
\(933\) | −5.54477 | − | 13.3360i | −0.181528 | − | 0.436602i | ||||
\(934\) | 4.00238 | − | 5.37613i | 0.130962 | − | 0.175912i | ||||
\(935\) | 2.46834 | − | 0.898402i | 0.0807233 | − | 0.0293809i | ||||
\(936\) | 1.44952 | + | 9.71541i | 0.0473790 | + | 0.317558i | ||||
\(937\) | 13.4516 | + | 4.89596i | 0.439443 | + | 0.159944i | 0.552261 | − | 0.833672i | \(-0.313765\pi\) |
−0.112818 | + | 0.993616i | \(0.535988\pi\) | |||||||
\(938\) | −43.0974 | + | 28.3456i | −1.40718 | + | 0.925516i | ||||
\(939\) | 9.31831 | − | 15.6583i | 0.304092 | − | 0.510988i | ||||
\(940\) | 0.0814704 | + | 0.109434i | 0.00265727 | + | 0.00356934i | ||||
\(941\) | 11.5539 | + | 7.59913i | 0.376647 | + | 0.247725i | 0.723691 | − | 0.690124i | \(-0.242444\pi\) |
−0.347044 | + | 0.937849i | \(0.612814\pi\) | |||||||
\(942\) | 3.00229 | − | 41.9825i | 0.0978199 | − | 1.36786i | ||||
\(943\) | −23.4298 | + | 78.2610i | −0.762979 | + | 2.54853i | ||||
\(944\) | −7.30353 | + | 12.6501i | −0.237710 | + | 0.411725i | ||||
\(945\) | −16.1419 | − | 0.640215i | −0.525095 | − | 0.0208262i | ||||
\(946\) | 2.42798 | + | 4.20538i | 0.0789404 | + | 0.136729i | ||||
\(947\) | −50.5470 | + | 11.9799i | −1.64256 | + | 0.389293i | −0.944957 | − | 0.327194i | \(-0.893897\pi\) |
−0.697600 | + | 0.716487i | \(0.745749\pi\) | |||||||
\(948\) | 3.13904 | + | 0.787914i | 0.101951 | + | 0.0255903i | ||||
\(949\) | 0.681112 | − | 0.342067i | 0.0221098 | − | 0.0111040i | ||||
\(950\) | −5.91632 | + | 13.7156i | −0.191951 | + | 0.444992i | ||||
\(951\) | −1.98719 | − | 12.2113i | −0.0644390 | − | 0.395979i | ||||
\(952\) | −2.79860 | − | 48.0502i | −0.0907033 | − | 1.55732i | ||||
\(953\) | 6.27645 | + | 35.5955i | 0.203314 | + | 1.15305i | 0.900071 | + | 0.435744i | \(0.143515\pi\) |
−0.696757 | + | 0.717308i | \(0.745374\pi\) | |||||||
\(954\) | −1.36451 | + | 16.0895i | −0.0441777 | + | 0.520917i | ||||
\(955\) | −1.02607 | + | 5.81912i | −0.0332028 | + | 0.188302i | ||||
\(956\) | −6.19534 | − | 0.724131i | −0.200372 | − | 0.0234201i | ||||
\(957\) | −8.42315 | − | 9.16773i | −0.272282 | − | 0.296351i | ||||
\(958\) | −8.29657 | − | 27.7125i | −0.268050 | − | 0.895349i | ||||
\(959\) | −76.4478 | − | 18.1185i | −2.46863 | − | 0.585076i | ||||
\(960\) | −7.75533 | + | 4.95521i | −0.250302 | + | 0.159929i | ||||
\(961\) | −11.5835 | − | 26.8535i | −0.373660 | − | 0.866241i | ||||
\(962\) | 7.40204 | + | 6.21105i | 0.238651 | + | 0.200252i | ||||
\(963\) | 3.71154 | − | 0.776676i | 0.119603 | − | 0.0250280i | ||||
\(964\) | 12.2672 | − | 10.2934i | 0.395100 | − | 0.331528i | ||||
\(965\) | 1.27392 | + | 0.639786i | 0.0410089 | + | 0.0205954i | ||||
\(966\) | 12.8821 | − | 67.8063i | 0.414475 | − | 2.18163i | ||||
\(967\) | −7.39954 | + | 0.864882i | −0.237953 | + | 0.0278127i | −0.234234 | − | 0.972180i | \(-0.575258\pi\) |
−0.00371957 | + | 0.999993i | \(0.501184\pi\) | |||||||
\(968\) | 1.66991 | − | 28.6713i | 0.0536730 | − | 0.921530i | ||||
\(969\) | 9.43747 | + | 13.0328i | 0.303175 | + | 0.418673i | ||||
\(970\) | −4.37057 | − | 4.63253i | −0.140331 | − | 0.148742i | ||||
\(971\) | −42.9911 | −1.37965 | −0.689825 | − | 0.723976i | \(-0.742313\pi\) | ||||
−0.689825 | + | 0.723976i | \(0.742313\pi\) | |||||||
\(972\) | −11.5690 | − | 0.765460i | −0.371076 | − | 0.0245522i | ||||
\(973\) | 19.4204 | 0.622588 | ||||||||
\(974\) | 22.3791 | + | 23.7205i | 0.717074 | + | 0.760054i | ||||
\(975\) | −4.97018 | − | 6.86362i | −0.159173 | − | 0.219812i | ||||
\(976\) | 0.396265 | − | 6.80360i | 0.0126841 | − | 0.217778i | ||||
\(977\) | −41.8648 | + | 4.89329i | −1.33937 | + | 0.156550i | −0.755422 | − | 0.655239i | \(-0.772568\pi\) |
−0.583951 | + | 0.811789i | \(0.698494\pi\) | |||||||
\(978\) | −2.41752 | + | 12.7249i | −0.0773038 | + | 0.406896i | ||||
\(979\) | 12.7187 | + | 6.38757i | 0.406491 | + | 0.204148i | ||||
\(980\) | −6.11739 | + | 5.13310i | −0.195413 | + | 0.163971i | ||||
\(981\) | −16.1913 | − | 18.0968i | −0.516949 | − | 0.577787i | ||||
\(982\) | −16.3656 | − | 13.7323i | −0.522246 | − | 0.438216i | ||||
\(983\) | −14.1975 | − | 32.9136i | −0.452831 | − | 1.04978i | −0.979815 | − | 0.199906i | \(-0.935936\pi\) |
0.526984 | − | 0.849875i | \(-0.323323\pi\) | |||||||
\(984\) | −50.3937 | + | 32.1987i | −1.60649 | + | 1.02646i | ||||
\(985\) | 11.2357 | + | 2.66290i | 0.357998 | + | 0.0848471i | ||||
\(986\) | −5.74273 | − | 19.1820i | −0.182886 | − | 0.610881i | ||||
\(987\) | −1.65066 | − | 1.79657i | −0.0525410 | − | 0.0571855i | ||||
\(988\) | −2.28123 | − | 0.266638i | −0.0725757 | − | 0.00848288i | ||||
\(989\) | 4.24755 | − | 24.0890i | 0.135064 | − | 0.765986i | ||||
\(990\) | 2.26288 | + | 1.57552i | 0.0719189 | + | 0.0500735i | ||||
\(991\) | 2.37148 | + | 13.4493i | 0.0753326 | + | 0.427232i | 0.999027 | + | 0.0441022i | \(0.0140427\pi\) |
−0.923694 | + | 0.383130i | \(0.874846\pi\) | |||||||
\(992\) | −0.304592 | − | 5.22964i | −0.00967080 | − | 0.166041i | ||||
\(993\) | 3.58659 | + | 22.0397i | 0.113817 | + | 0.699408i | ||||
\(994\) | −21.3634 | + | 49.5258i | −0.677605 | + | 1.57086i | ||||
\(995\) | 7.84350 | − | 3.93915i | 0.248656 | − | 0.124880i | ||||
\(996\) | −8.76762 | − | 2.20071i | −0.277813 | − | 0.0697323i | ||||
\(997\) | −10.6487 | + | 2.52379i | −0.337247 | + | 0.0799291i | −0.395750 | − | 0.918358i | \(-0.629515\pi\) |
0.0585030 | + | 0.998287i | \(0.481367\pi\) | |||||||
\(998\) | −8.92305 | − | 15.4552i | −0.282454 | − | 0.489225i | ||||
\(999\) | −33.2765 | + | 25.7457i | −1.05282 | + | 0.814558i |
(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 | 81.2.g.a.22.6 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.199.3 | 144 | |||
9.2 | odd | 6 | 729.2.g.a.352.3 | 144 | |||
9.4 | even | 3 | 729.2.g.c.595.3 | 144 | |||
9.5 | odd | 6 | 729.2.g.b.595.6 | 144 | |||
9.7 | even | 3 | 729.2.g.d.352.6 | 144 | |||
81.11 | odd | 54 | 243.2.g.a.127.3 | 144 | |||
81.16 | even | 27 | 729.2.g.d.379.6 | 144 | |||
81.31 | even | 27 | 6561.2.a.c.1.25 | 72 | |||
81.38 | odd | 54 | 729.2.g.b.136.6 | 144 | |||
81.43 | even | 27 | 729.2.g.c.136.3 | 144 | |||
81.50 | odd | 54 | 6561.2.a.d.1.48 | 72 | |||
81.65 | odd | 54 | 729.2.g.a.379.3 | 144 | |||
81.70 | even | 27 | inner | 81.2.g.a.70.6 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.22.6 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.70.6 | yes | 144 | 81.70 | even | 27 | inner | |
243.2.g.a.127.3 | 144 | 81.11 | odd | 54 | |||
243.2.g.a.199.3 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.352.3 | 144 | 9.2 | odd | 6 | |||
729.2.g.a.379.3 | 144 | 81.65 | odd | 54 | |||
729.2.g.b.136.6 | 144 | 81.38 | odd | 54 | |||
729.2.g.b.595.6 | 144 | 9.5 | odd | 6 | |||
729.2.g.c.136.3 | 144 | 81.43 | even | 27 | |||
729.2.g.c.595.3 | 144 | 9.4 | even | 3 | |||
729.2.g.d.352.6 | 144 | 9.7 | even | 3 | |||
729.2.g.d.379.6 | 144 | 81.16 | even | 27 | |||
6561.2.a.c.1.25 | 72 | 81.31 | even | 27 | |||
6561.2.a.d.1.48 | 72 | 81.50 | odd | 54 |