Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [712,2,Mod(3,712)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(712, base_ring=CyclotomicField(88))
chi = DirichletCharacter(H, H._module([44, 44, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("712.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 712 = 2^{3} \cdot 89 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 712.bf (of order \(88\), degree \(40\), 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: | \(5.68534862392\) |
Analytic rank: | \(0\) |
Dimension: | \(3440\) |
Relative dimension: | \(86\) over \(\Q(\zeta_{88})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{88}]$ |
Embedding invariants
Embedding label | 171.53 | ||
Character | \(\chi\) | \(=\) | 712.171 |
Dual form | 712.2.bf.c.483.53 |
$q$-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 \(\left(\mathbb{Z}/712\mathbb{Z}\right)^\times\).
\(n\) | \(357\) | \(535\) | \(537\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{37}{88}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.467103 | + | 1.33485i | 0.330292 | + | 0.943879i | ||||
\(3\) | −0.703764 | − | 2.75732i | −0.406319 | − | 1.59194i | −0.755673 | − | 0.654949i | \(-0.772690\pi\) |
0.349354 | − | 0.936991i | \(-0.386401\pi\) | |||||||
\(4\) | −1.56363 | + | 1.24702i | −0.781814 | + | 0.623511i | ||||
\(5\) | 3.43459 | − | 0.747149i | 1.53599 | − | 0.334135i | 0.636573 | − | 0.771217i | \(-0.280351\pi\) |
0.899422 | + | 0.437081i | \(0.143988\pi\) | |||||||
\(6\) | 3.35187 | − | 2.22737i | 1.36839 | − | 0.909321i | ||||
\(7\) | 0.125289 | − | 0.694431i | 0.0473549 | − | 0.262470i | −0.951644 | − | 0.307203i | \(-0.900607\pi\) |
0.998999 | + | 0.0447322i | \(0.0142434\pi\) | |||||||
\(8\) | −2.39496 | − | 1.50472i | −0.846746 | − | 0.531997i | ||||
\(9\) | −4.47450 | + | 2.44326i | −1.49150 | + | 0.814421i | ||||
\(10\) | 2.60164 | + | 4.23565i | 0.822710 | + | 1.33943i | ||||
\(11\) | 1.78943 | + | 2.78440i | 0.539533 | + | 0.839529i | 0.998810 | − | 0.0487634i | \(-0.0155280\pi\) |
−0.459278 | + | 0.888293i | \(0.651892\pi\) | |||||||
\(12\) | 4.53887 | + | 3.43382i | 1.31026 | + | 0.991258i | ||||
\(13\) | 4.92665 | + | 2.92312i | 1.36641 | + | 0.810726i | 0.993133 | − | 0.116995i | \(-0.0373261\pi\) |
0.373274 | + | 0.927721i | \(0.378235\pi\) | |||||||
\(14\) | 0.985482 | − | 0.157130i | 0.263381 | − | 0.0419946i | ||||
\(15\) | −4.47727 | − | 8.94445i | −1.15603 | − | 2.30945i | ||||
\(16\) | 0.889869 | − | 3.89976i | 0.222467 | − | 0.974940i | ||||
\(17\) | −0.135618 | + | 1.89619i | −0.0328922 | + | 0.459893i | 0.954139 | + | 0.299364i | \(0.0967745\pi\) |
−0.987031 | + | 0.160529i | \(0.948680\pi\) | |||||||
\(18\) | −5.35143 | − | 4.83151i | −1.26134 | − | 1.13880i | ||||
\(19\) | 3.37999 | − | 4.19431i | 0.775423 | − | 0.962241i | −0.224502 | − | 0.974474i | \(-0.572076\pi\) |
0.999925 | + | 0.0122324i | \(0.00389378\pi\) | |||||||
\(20\) | −4.43871 | + | 5.45127i | −0.992526 | + | 1.21894i | ||||
\(21\) | −2.00294 | + | 0.143253i | −0.437078 | + | 0.0312605i | ||||
\(22\) | −2.88090 | + | 3.68922i | −0.614211 | + | 0.786543i | ||||
\(23\) | −0.523747 | − | 4.87156i | −0.109209 | − | 1.01579i | −0.909365 | − | 0.415999i | \(-0.863432\pi\) |
0.800156 | − | 0.599791i | \(-0.204750\pi\) | |||||||
\(24\) | −2.46350 | + | 7.66264i | −0.502859 | + | 1.56413i | ||||
\(25\) | 6.69001 | − | 3.05523i | 1.33800 | − | 0.611045i | ||||
\(26\) | −1.60066 | + | 7.94172i | −0.313914 | + | 1.55750i | ||||
\(27\) | 4.06848 | + | 4.36986i | 0.782980 | + | 0.840980i | ||||
\(28\) | 0.670066 | + | 1.24207i | 0.126631 | + | 0.234729i | ||||
\(29\) | −3.75162 | − | 5.40337i | −0.696659 | − | 1.00338i | −0.998744 | − | 0.0500991i | \(-0.984046\pi\) |
0.302085 | − | 0.953281i | \(-0.402317\pi\) | |||||||
\(30\) | 9.84811 | − | 10.1545i | 1.79801 | − | 1.85394i | ||||
\(31\) | 0.00905238 | − | 0.0841994i | 0.00162585 | − | 0.0151227i | −0.993429 | − | 0.114453i | \(-0.963488\pi\) |
0.995054 | + | 0.0993307i | \(0.0316702\pi\) | |||||||
\(32\) | 5.62124 | − | 0.633753i | 0.993705 | − | 0.112033i | ||||
\(33\) | 6.41816 | − | 6.89359i | 1.11726 | − | 1.20002i | ||||
\(34\) | −2.59447 | + | 0.704686i | −0.444947 | + | 0.120853i | ||||
\(35\) | −0.0885269 | − | 2.47870i | −0.0149638 | − | 0.418976i | ||||
\(36\) | 3.94965 | − | 9.40016i | 0.658276 | − | 1.56669i | ||||
\(37\) | −5.94107 | − | 2.46087i | −0.976705 | − | 0.404565i | −0.163501 | − | 0.986543i | \(-0.552279\pi\) |
−0.813204 | + | 0.581979i | \(0.802279\pi\) | |||||||
\(38\) | 7.17757 | + | 2.55259i | 1.16436 | + | 0.414085i | ||||
\(39\) | 4.59277 | − | 15.6415i | 0.735432 | − | 2.50465i | ||||
\(40\) | −9.34995 | − | 3.37869i | −1.47836 | − | 0.534217i | ||||
\(41\) | 2.26735 | − | 1.34528i | 0.354101 | − | 0.210098i | −0.322289 | − | 0.946641i | \(-0.604452\pi\) |
0.676390 | + | 0.736543i | \(0.263543\pi\) | |||||||
\(42\) | −1.12680 | − | 2.60671i | −0.173870 | − | 0.402224i | ||||
\(43\) | −7.99983 | − | 5.55438i | −1.21996 | − | 0.847035i | −0.228012 | − | 0.973658i | \(-0.573223\pi\) |
−0.991951 | + | 0.126623i | \(0.959586\pi\) | |||||||
\(44\) | −6.27022 | − | 2.12232i | −0.945270 | − | 0.319951i | ||||
\(45\) | −13.5426 | + | 11.7347i | −2.01881 | + | 1.74931i | ||||
\(46\) | 6.25814 | − | 2.97464i | 0.922712 | − | 0.438587i | ||||
\(47\) | 2.35810 | + | 1.76525i | 0.343965 | + | 0.257489i | 0.757267 | − | 0.653105i | \(-0.226534\pi\) |
−0.413303 | + | 0.910594i | \(0.635625\pi\) | |||||||
\(48\) | −11.3792 | + | 0.290856i | −1.64244 | + | 0.0419815i | ||||
\(49\) | 6.09211 | + | 2.27224i | 0.870301 | + | 0.324606i | ||||
\(50\) | 7.20318 | + | 7.50303i | 1.01868 | + | 1.06109i | ||||
\(51\) | 5.32384 | − | 0.960526i | 0.745487 | − | 0.134501i | ||||
\(52\) | −11.3486 | + | 1.57297i | −1.57377 | + | 0.218132i | ||||
\(53\) | 1.44312 | + | 1.92778i | 0.198227 | + | 0.264800i | 0.888630 | − | 0.458625i | \(-0.151658\pi\) |
−0.690403 | + | 0.723425i | \(0.742567\pi\) | |||||||
\(54\) | −3.93269 | + | 7.47197i | −0.535171 | + | 1.01681i | ||||
\(55\) | 8.22631 | + | 8.22631i | 1.10924 | + | 1.10924i | ||||
\(56\) | −1.34498 | + | 1.47461i | −0.179731 | + | 0.197053i | ||||
\(57\) | −13.9438 | − | 6.36791i | −1.84690 | − | 0.843451i | ||||
\(58\) | 5.46027 | − | 7.53177i | 0.716968 | − | 0.988970i | ||||
\(59\) | 5.50619 | + | 1.40537i | 0.716845 | + | 0.182964i | 0.588187 | − | 0.808725i | \(-0.299842\pi\) |
0.128658 | + | 0.991689i | \(0.458933\pi\) | |||||||
\(60\) | 18.1547 | + | 8.40254i | 2.34376 | + | 1.08476i | ||||
\(61\) | −0.521153 | + | 14.5919i | −0.0667268 | + | 1.86831i | 0.321718 | + | 0.946835i | \(0.395740\pi\) |
−0.388445 | + | 0.921472i | \(0.626988\pi\) | |||||||
\(62\) | 0.116622 | − | 0.0272463i | 0.0148110 | − | 0.00346029i | ||||
\(63\) | 1.13607 | + | 3.41335i | 0.143132 | + | 0.430041i | ||||
\(64\) | 3.47166 | + | 7.20746i | 0.433958 | + | 0.900933i | ||||
\(65\) | 19.1050 | + | 6.35876i | 2.36969 | + | 0.788707i | ||||
\(66\) | 12.1998 | + | 5.34724i | 1.50170 | + | 0.658199i | ||||
\(67\) | −1.39000 | + | 9.66767i | −0.169816 | + | 1.18109i | 0.709448 | + | 0.704758i | \(0.248944\pi\) |
−0.879263 | + | 0.476336i | \(0.841965\pi\) | |||||||
\(68\) | −2.15253 | − | 3.13405i | −0.261033 | − | 0.380060i | ||||
\(69\) | −13.0639 | + | 4.87257i | −1.57270 | + | 0.586588i | ||||
\(70\) | 3.26733 | − | 1.27598i | 0.390520 | − | 0.152508i | ||||
\(71\) | −0.146092 | + | 0.671573i | −0.0173379 | + | 0.0797010i | −0.985003 | − | 0.172538i | \(-0.944803\pi\) |
0.967665 | + | 0.252239i | \(0.0811669\pi\) | |||||||
\(72\) | 14.3927 | + | 0.881335i | 1.69619 | + | 0.103866i | ||||
\(73\) | −0.803208 | − | 2.73547i | −0.0940084 | − | 0.320163i | 0.899041 | − | 0.437865i | \(-0.144265\pi\) |
−0.993049 | + | 0.117702i | \(0.962447\pi\) | |||||||
\(74\) | 0.509791 | − | 9.07989i | 0.0592620 | − | 1.05552i | ||||
\(75\) | −13.1324 | − | 16.2963i | −1.51640 | − | 1.88174i | ||||
\(76\) | −0.0546480 | + | 10.7733i | −0.00626856 | + | 1.23578i | ||||
\(77\) | 2.15777 | − | 0.893779i | 0.245901 | − | 0.101856i | ||||
\(78\) | 23.0243 | − | 1.17558i | 2.60699 | − | 0.133108i | ||||
\(79\) | −7.80144 | − | 4.25991i | −0.877730 | − | 0.479277i | −0.0238313 | − | 0.999716i | \(-0.507586\pi\) |
−0.853899 | + | 0.520439i | \(0.825768\pi\) | |||||||
\(80\) | 0.142633 | − | 14.0589i | 0.0159469 | − | 1.57184i | ||||
\(81\) | 0.917121 | − | 1.42707i | 0.101902 | − | 0.158563i | ||||
\(82\) | 2.85483 | + | 2.39818i | 0.315264 | + | 0.264835i | ||||
\(83\) | 2.85681 | − | 5.70719i | 0.313576 | − | 0.626445i | −0.680786 | − | 0.732482i | \(-0.738362\pi\) |
0.994362 | + | 0.106037i | \(0.0338162\pi\) | |||||||
\(84\) | 2.95322 | − | 2.72171i | 0.322223 | − | 0.296963i | ||||
\(85\) | 0.950942 | + | 6.61395i | 0.103144 | + | 0.717384i | ||||
\(86\) | 3.67750 | − | 13.2730i | 0.396555 | − | 1.43127i | ||||
\(87\) | −12.2586 | + | 14.1471i | −1.31426 | + | 1.51673i | ||||
\(88\) | −0.0958723 | − | 9.36111i | −0.0102200 | − | 0.997898i | ||||
\(89\) | −5.20158 | + | 7.87042i | −0.551367 | + | 0.834263i | ||||
\(90\) | −21.9898 | − | 12.5959i | −2.31793 | − | 1.32773i | ||||
\(91\) | 2.64716 | − | 3.05498i | 0.277498 | − | 0.320249i | ||||
\(92\) | 6.89389 | + | 6.96418i | 0.718738 | + | 0.726066i | ||||
\(93\) | −0.238536 | + | 0.0342963i | −0.0247350 | + | 0.00355636i | ||||
\(94\) | −1.25486 | + | 3.97226i | −0.129429 | + | 0.409708i | ||||
\(95\) | 8.47510 | − | 16.9311i | 0.869527 | − | 1.73709i | ||||
\(96\) | −5.70349 | − | 15.0536i | −0.582110 | − | 1.53640i | ||||
\(97\) | 16.3102 | + | 10.4820i | 1.65605 | + | 1.06428i | 0.923519 | + | 0.383553i | \(0.125300\pi\) |
0.732536 | + | 0.680728i | \(0.238337\pi\) | |||||||
\(98\) | −0.187445 | + | 9.19340i | −0.0189348 | + | 0.928674i | ||||
\(99\) | −14.8098 | − | 8.08677i | −1.48844 | − | 0.812751i | ||||
\(100\) | −6.65076 | + | 13.1198i | −0.665076 | + | 1.31198i | ||||
\(101\) | −0.797204 | − | 1.92462i | −0.0793248 | − | 0.191507i | 0.879242 | − | 0.476376i | \(-0.158050\pi\) |
−0.958566 | + | 0.284869i | \(0.908050\pi\) | |||||||
\(102\) | 3.76894 | + | 6.65784i | 0.373181 | + | 0.659225i | ||||
\(103\) | −11.4793 | − | 14.2449i | −1.13109 | − | 1.40360i | −0.902831 | − | 0.429995i | \(-0.858515\pi\) |
−0.228257 | − | 0.973601i | \(-0.573303\pi\) | |||||||
\(104\) | −7.40067 | − | 14.4139i | −0.725695 | − | 1.41340i | ||||
\(105\) | −6.77226 | + | 1.98852i | −0.660905 | + | 0.194059i | ||||
\(106\) | −1.89920 | + | 2.82681i | −0.184467 | + | 0.274564i | ||||
\(107\) | −3.18209 | + | 14.6279i | −0.307625 | + | 1.41413i | 0.520633 | + | 0.853780i | \(0.325696\pi\) |
−0.828258 | + | 0.560347i | \(0.810668\pi\) | |||||||
\(108\) | −11.8109 | − | 1.75935i | −1.13651 | − | 0.169293i | ||||
\(109\) | −0.722632 | − | 1.93745i | −0.0692155 | − | 0.185574i | 0.897736 | − | 0.440533i | \(-0.145211\pi\) |
−0.966952 | + | 0.254959i | \(0.917938\pi\) | |||||||
\(110\) | −7.13832 | + | 14.8234i | −0.680612 | + | 1.41336i | ||||
\(111\) | −2.60430 | + | 18.1133i | −0.247189 | + | 1.71924i | ||||
\(112\) | −2.59663 | − | 1.10655i | −0.245358 | − | 0.104559i | ||||
\(113\) | −0.402936 | + | 1.21063i | −0.0379050 | + | 0.113886i | −0.966068 | − | 0.258287i | \(-0.916842\pi\) |
0.928163 | + | 0.372174i | \(0.121387\pi\) | |||||||
\(114\) | 1.98699 | − | 21.5873i | 0.186099 | − | 2.02183i | ||||
\(115\) | −5.43863 | − | 16.3405i | −0.507155 | − | 1.52376i | ||||
\(116\) | 12.6043 | + | 3.77050i | 1.17028 | + | 0.350082i | ||||
\(117\) | −29.1862 | − | 1.04239i | −2.69827 | − | 0.0963689i | ||||
\(118\) | 0.696006 | + | 8.00637i | 0.0640726 | + | 0.737046i | ||||
\(119\) | 1.29978 | + | 0.331749i | 0.119151 | + | 0.0304114i | ||||
\(120\) | −2.73596 | + | 28.1586i | −0.249758 | + | 2.57052i | ||||
\(121\) | 0.0187116 | − | 0.0409726i | 0.00170105 | − | 0.00372479i | ||||
\(122\) | −19.7214 | + | 6.12029i | −1.78549 | + | 0.554105i | ||||
\(123\) | −5.30506 | − | 5.30506i | −0.478341 | − | 0.478341i | ||||
\(124\) | 0.0908441 | + | 0.142945i | 0.00815804 | + | 0.0128369i | ||||
\(125\) | 6.62555 | − | 4.95983i | 0.592607 | − | 0.443620i | ||||
\(126\) | −4.02563 | + | 3.11087i | −0.358632 | + | 0.277138i | ||||
\(127\) | −1.84852 | + | 0.333510i | −0.164030 | + | 0.0295943i | −0.258950 | − | 0.965891i | \(-0.583377\pi\) |
0.0949206 | + | 0.995485i | \(0.469740\pi\) | |||||||
\(128\) | −7.99923 | + | 8.00077i | −0.707039 | + | 0.707175i | ||||
\(129\) | −9.68522 | + | 25.9671i | −0.852736 | + | 2.28627i | ||||
\(130\) | 0.436053 | + | 28.4725i | 0.0382444 | + | 2.49720i | ||||
\(131\) | 6.93745 | + | 5.19331i | 0.606128 | + | 0.453741i | 0.857738 | − | 0.514087i | \(-0.171869\pi\) |
−0.251610 | + | 0.967829i | \(0.580960\pi\) | |||||||
\(132\) | −1.43916 | + | 18.7826i | −0.125263 | + | 1.63482i | ||||
\(133\) | −2.48919 | − | 2.87267i | −0.215840 | − | 0.249092i | ||||
\(134\) | −13.5541 | + | 2.66036i | −1.17090 | + | 0.229820i | ||||
\(135\) | 17.2385 | + | 11.9689i | 1.48365 | + | 1.03012i | ||||
\(136\) | 3.17802 | − | 4.33723i | 0.272513 | − | 0.371914i | ||||
\(137\) | −9.70753 | − | 16.3612i | −0.829370 | − | 1.39783i | −0.915827 | − | 0.401574i | \(-0.868463\pi\) |
0.0864564 | − | 0.996256i | \(-0.472446\pi\) | |||||||
\(138\) | −12.6063 | − | 15.1622i | −1.07312 | − | 1.29070i | ||||
\(139\) | −6.00971 | + | 20.4672i | −0.509737 | + | 1.73601i | 0.154030 | + | 0.988066i | \(0.450775\pi\) |
−0.663767 | + | 0.747939i | \(0.731043\pi\) | |||||||
\(140\) | 3.22941 | + | 3.76537i | 0.272935 | + | 0.318231i | ||||
\(141\) | 3.20782 | − | 7.74437i | 0.270148 | − | 0.652194i | ||||
\(142\) | −0.964687 | + | 0.118684i | −0.0809547 | + | 0.00995974i | ||||
\(143\) | 0.676747 | + | 18.9485i | 0.0565924 | + | 1.58455i | ||||
\(144\) | 5.54641 | + | 19.6237i | 0.462201 | + | 1.63531i | ||||
\(145\) | −16.9224 | − | 15.7553i | −1.40533 | − | 1.30841i | ||||
\(146\) | 3.27626 | − | 2.34991i | 0.271145 | − | 0.194480i | ||||
\(147\) | 1.97789 | − | 18.3970i | 0.163133 | − | 1.51736i | ||||
\(148\) | 12.3584 | − | 3.56076i | 1.01585 | − | 0.292692i | ||||
\(149\) | −10.9970 | + | 7.63533i | −0.900906 | + | 0.625511i | −0.927373 | − | 0.374139i | \(-0.877938\pi\) |
0.0264661 | + | 0.999650i | \(0.491575\pi\) | |||||||
\(150\) | 15.6189 | − | 25.1419i | 1.27528 | − | 2.05282i | ||||
\(151\) | 2.62527 | + | 2.81973i | 0.213641 | + | 0.229467i | 0.829666 | − | 0.558260i | \(-0.188531\pi\) |
−0.616025 | + | 0.787727i | \(0.711258\pi\) | |||||||
\(152\) | −14.4062 | + | 4.95929i | −1.16850 | + | 0.402251i | ||||
\(153\) | −4.02606 | − | 8.81584i | −0.325488 | − | 0.712718i | ||||
\(154\) | 2.20096 | + | 2.46281i | 0.177359 | + | 0.198459i | ||||
\(155\) | −0.0318183 | − | 0.295954i | −0.00255571 | − | 0.0237716i | ||||
\(156\) | 12.3240 | + | 30.1848i | 0.986707 | + | 2.41672i | ||||
\(157\) | −1.27562 | − | 17.8355i | −0.101806 | − | 1.42343i | −0.749741 | − | 0.661732i | \(-0.769822\pi\) |
0.647935 | − | 0.761696i | \(-0.275633\pi\) | |||||||
\(158\) | 2.04224 | − | 12.4035i | 0.162472 | − | 0.986772i | ||||
\(159\) | 4.29989 | − | 5.33583i | 0.341003 | − | 0.423159i | ||||
\(160\) | 18.8331 | − | 6.37659i | 1.48889 | − | 0.504113i | ||||
\(161\) | −3.44858 | − | 0.246648i | −0.271786 | − | 0.0194385i | ||||
\(162\) | 2.33331 | + | 0.557627i | 0.183322 | + | 0.0438113i | ||||
\(163\) | 7.81634 | + | 15.6150i | 0.612223 | + | 1.22307i | 0.958543 | + | 0.284949i | \(0.0919765\pi\) |
−0.346320 | + | 0.938116i | \(0.612569\pi\) | |||||||
\(164\) | −1.86770 | + | 4.93096i | −0.145843 | + | 0.385043i | ||||
\(165\) | 16.8932 | − | 28.4720i | 1.31513 | − | 2.21654i | ||||
\(166\) | 8.95265 | + | 1.14756i | 0.694860 | + | 0.0890680i | ||||
\(167\) | −5.71648 | − | 8.89502i | −0.442355 | − | 0.688317i | 0.546457 | − | 0.837487i | \(-0.315976\pi\) |
−0.988812 | + | 0.149170i | \(0.952340\pi\) | |||||||
\(168\) | 5.01253 | + | 2.67078i | 0.386725 | + | 0.206055i | ||||
\(169\) | 9.49702 | + | 17.3925i | 0.730540 | + | 1.33788i | ||||
\(170\) | −8.38442 | + | 4.35876i | −0.643055 | + | 0.334302i | ||||
\(171\) | −4.87596 | + | 27.0256i | −0.372874 | + | 2.06670i | ||||
\(172\) | 19.4352 | − | 1.29098i | 1.48192 | − | 0.0984362i | ||||
\(173\) | 1.60186 | + | 7.36365i | 0.121787 | + | 0.559848i | 0.997087 | + | 0.0762675i | \(0.0243003\pi\) |
−0.875300 | + | 0.483580i | \(0.839336\pi\) | |||||||
\(174\) | −24.6103 | − | 9.75512i | −1.86570 | − | 0.739534i | ||||
\(175\) | −1.28346 | − | 5.02854i | −0.0970203 | − | 0.380122i | ||||
\(176\) | 12.4509 | − | 4.50058i | 0.938519 | − | 0.339244i | ||||
\(177\) | − | 16.1714i | − | 1.21552i | ||||||
\(178\) | −12.9355 | − | 3.26701i | −0.969555 | − | 0.244873i | ||||
\(179\) | −10.7364 | −0.802477 | −0.401238 | − | 0.915974i | \(-0.631420\pi\) | ||||
−0.401238 | + | 0.915974i | \(0.631420\pi\) | |||||||
\(180\) | 6.54212 | − | 35.2367i | 0.487621 | − | 2.62639i | ||||
\(181\) | 3.54768 | − | 0.905492i | 0.263697 | − | 0.0673047i | −0.113158 | − | 0.993577i | \(-0.536096\pi\) |
0.376855 | + | 0.926272i | \(0.377006\pi\) | |||||||
\(182\) | 5.31443 | + | 2.10656i | 0.393932 | + | 0.156148i | ||||
\(183\) | 40.6015 | − | 8.83231i | 3.00135 | − | 0.652903i | ||||
\(184\) | −6.07596 | + | 12.4553i | −0.447925 | + | 0.918215i | ||||
\(185\) | −22.2438 | − | 4.01322i | −1.63539 | − | 0.295057i | ||||
\(186\) | −0.157201 | − | 0.302389i | −0.0115265 | − | 0.0221722i | ||||
\(187\) | −5.52243 | + | 3.01547i | −0.403840 | + | 0.220513i | ||||
\(188\) | −5.88851 | + | 0.180406i | −0.429464 | + | 0.0131575i | ||||
\(189\) | 3.54430 | − | 2.27779i | 0.257810 | − | 0.165685i | ||||
\(190\) | 26.5592 | + | 3.40438i | 1.92680 | + | 0.246980i | ||||
\(191\) | −5.83298 | − | 3.46087i | −0.422059 | − | 0.250419i | 0.283640 | − | 0.958931i | \(-0.408458\pi\) |
−0.705699 | + | 0.708511i | \(0.749367\pi\) | |||||||
\(192\) | 17.4301 | − | 14.6448i | 1.25791 | − | 1.05690i | ||||
\(193\) | 12.9221 | − | 6.46832i | 0.930150 | − | 0.465600i | 0.0827591 | − | 0.996570i | \(-0.473627\pi\) |
0.847391 | + | 0.530970i | \(0.178172\pi\) | |||||||
\(194\) | −6.37323 | + | 26.6678i | −0.457571 | + | 1.91464i | ||||
\(195\) | 4.08772 | − | 57.1537i | 0.292727 | − | 4.09286i | ||||
\(196\) | −12.3593 | + | 4.04406i | −0.882809 | + | 0.288861i | ||||
\(197\) | −7.22842 | − | 5.82503i | −0.515003 | − | 0.415016i | 0.334662 | − | 0.942338i | \(-0.391378\pi\) |
−0.849665 | + | 0.527322i | \(0.823196\pi\) | |||||||
\(198\) | 3.87688 | − | 23.5462i | 0.275518 | − | 1.67336i | ||||
\(199\) | 25.6998 | − | 1.83808i | 1.82181 | − | 0.130298i | 0.881838 | − | 0.471553i | \(-0.156306\pi\) |
0.939971 | + | 0.341254i | \(0.110852\pi\) | |||||||
\(200\) | −20.6195 | − | 2.74942i | −1.45802 | − | 0.194413i | ||||
\(201\) | 27.6351 | − | 2.97108i | 1.94923 | − | 0.209564i | ||||
\(202\) | 2.19670 | − | 1.96314i | 0.154559 | − | 0.138126i | ||||
\(203\) | −4.22231 | + | 1.92826i | −0.296348 | + | 0.135338i | ||||
\(204\) | −7.12671 | + | 8.14086i | −0.498970 | + | 0.569974i | ||||
\(205\) | 6.78230 | − | 6.31454i | 0.473696 | − | 0.441027i | ||||
\(206\) | 13.6528 | − | 21.9770i | 0.951235 | − | 1.53121i | ||||
\(207\) | 14.2460 | + | 20.5181i | 0.990165 | + | 1.42611i | ||||
\(208\) | 15.7835 | − | 16.6116i | 1.09439 | − | 1.15180i | ||||
\(209\) | 17.7269 | + | 1.90584i | 1.22620 | + | 0.131830i | ||||
\(210\) | −5.81771 | − | 8.11108i | −0.401460 | − | 0.559718i | ||||
\(211\) | −15.7187 | + | 16.8830i | −1.08212 | + | 1.16228i | −0.0961446 | + | 0.995367i | \(0.530651\pi\) |
−0.985972 | + | 0.166908i | \(0.946622\pi\) | |||||||
\(212\) | −4.66048 | − | 1.21473i | −0.320083 | − | 0.0834279i | ||||
\(213\) | 1.95456 | − | 0.0698072i | 0.133924 | − | 0.00478311i | ||||
\(214\) | −21.0123 | + | 2.58511i | −1.43637 | + | 0.176715i | ||||
\(215\) | −31.6261 | − | 13.1000i | −2.15688 | − | 0.893409i | ||||
\(216\) | −3.16846 | − | 16.5875i | −0.215586 | − | 1.12864i | ||||
\(217\) | −0.0573366 | − | 0.0168355i | −0.00389226 | − | 0.00114287i | ||||
\(218\) | 2.24865 | − | 1.86959i | 0.152298 | − | 0.126625i | ||||
\(219\) | −6.97731 | + | 4.13983i | −0.471483 | + | 0.279744i | ||||
\(220\) | −23.1213 | − | 2.60450i | −1.55884 | − | 0.175595i | ||||
\(221\) | −6.21092 | + | 8.94542i | −0.417791 | + | 0.601734i | ||||
\(222\) | −25.3949 | + | 4.98445i | −1.70440 | + | 0.334534i | ||||
\(223\) | −11.5586 | + | 10.0156i | −0.774022 | + | 0.670694i | −0.949492 | − | 0.313791i | \(-0.898401\pi\) |
0.175470 | + | 0.984485i | \(0.443855\pi\) | |||||||
\(224\) | 0.264183 | − | 3.98297i | 0.0176515 | − | 0.266123i | ||||
\(225\) | −22.4697 | + | 30.0160i | −1.49798 | + | 2.00107i | ||||
\(226\) | −1.80422 | + | 0.0276314i | −0.120015 | + | 0.00183801i | ||||
\(227\) | 7.72617 | + | 2.88171i | 0.512804 | + | 0.191266i | 0.592526 | − | 0.805551i | \(-0.298131\pi\) |
−0.0797223 | + | 0.996817i | \(0.525403\pi\) | |||||||
\(228\) | 29.7438 | − | 7.43116i | 1.96983 | − | 0.492141i | ||||
\(229\) | −0.730514 | − | 4.04897i | −0.0482737 | − | 0.267563i | 0.950839 | − | 0.309687i | \(-0.100224\pi\) |
−0.999112 | + | 0.0421233i | \(0.986588\pi\) | |||||||
\(230\) | 19.2716 | − | 14.8924i | 1.27073 | − | 0.981978i | ||||
\(231\) | −3.98300 | − | 5.32067i | −0.262062 | − | 0.350074i | ||||
\(232\) | 0.854461 | + | 18.5860i | 0.0560981 | + | 1.22023i | ||||
\(233\) | −11.4875 | + | 11.4875i | −0.752570 | + | 0.752570i | −0.974958 | − | 0.222388i | \(-0.928615\pi\) |
0.222388 | + | 0.974958i | \(0.428615\pi\) | |||||||
\(234\) | −12.2416 | − | 39.4460i | −0.800256 | − | 2.57867i | ||||
\(235\) | 9.41803 | + | 4.30107i | 0.614364 | + | 0.280571i | ||||
\(236\) | −10.3622 | + | 4.66887i | −0.674520 | + | 0.303917i | ||||
\(237\) | −6.25556 | + | 24.5090i | −0.406342 | + | 1.59203i | ||||
\(238\) | 0.164298 | + | 1.88997i | 0.0106498 | + | 0.122508i | ||||
\(239\) | −0.908659 | + | 25.4419i | −0.0587763 | + | 1.64570i | 0.537750 | + | 0.843104i | \(0.319275\pi\) |
−0.596526 | + | 0.802594i | \(0.703453\pi\) | |||||||
\(240\) | −38.8654 | + | 9.50089i | −2.50875 | + | 0.613280i | ||||
\(241\) | −2.02364 | + | 0.673533i | −0.130354 | + | 0.0433861i | −0.380231 | − | 0.924892i | \(-0.624155\pi\) |
0.249876 | + | 0.968278i | \(0.419610\pi\) | |||||||
\(242\) | 0.0634324 | + | 0.00583862i | 0.00407759 | + | 0.000375320i | ||||
\(243\) | 12.4149 | + | 4.13207i | 0.796416 | + | 0.265073i | ||||
\(244\) | −17.3816 | − | 23.4663i | −1.11274 | − | 1.50227i | ||||
\(245\) | 22.6216 | + | 3.25249i | 1.44524 | + | 0.207794i | ||||
\(246\) | 4.60343 | − | 9.55945i | 0.293504 | − | 0.609488i | ||||
\(247\) | 28.9125 | − | 10.7838i | 1.83966 | − | 0.686157i | ||||
\(248\) | −0.148376 | + | 0.188033i | −0.00942190 | + | 0.0119401i | ||||
\(249\) | −17.7471 | − | 3.86064i | −1.12468 | − | 0.244658i | ||||
\(250\) | 9.71542 | + | 6.52734i | 0.614457 | + | 0.412825i | ||||
\(251\) | 0.652010 | + | 2.22054i | 0.0411545 | + | 0.140159i | 0.977508 | − | 0.210900i | \(-0.0676396\pi\) |
−0.936353 | + | 0.351060i | \(0.885821\pi\) | |||||||
\(252\) | −6.03291 | − | 3.92050i | −0.380038 | − | 0.246968i | ||||
\(253\) | 12.6272 | − | 10.1756i | 0.793864 | − | 0.639736i | ||||
\(254\) | −1.30864 | − | 2.31171i | −0.0821112 | − | 0.145050i | ||||
\(255\) | 17.5675 | − | 7.27672i | 1.10012 | − | 0.455686i | ||||
\(256\) | −14.4163 | − | 6.94056i | −0.901017 | − | 0.433785i | ||||
\(257\) | 5.23731 | − | 9.59141i | 0.326694 | − | 0.598296i | −0.661778 | − | 0.749700i | \(-0.730198\pi\) |
0.988472 | + | 0.151404i | \(0.0483796\pi\) | |||||||
\(258\) | −39.1861 | − | 0.798966i | −2.43962 | − | 0.0497415i | ||||
\(259\) | −2.45326 | + | 3.81734i | −0.152438 | + | 0.237198i | ||||
\(260\) | −37.8027 | + | 13.8816i | −2.34442 | + | 0.860903i | ||||
\(261\) | 29.9885 | + | 15.0112i | 1.85624 | + | 0.929168i | ||||
\(262\) | −3.69176 | + | 11.6862i | −0.228078 | + | 0.721978i | ||||
\(263\) | −1.38787 | − | 9.65284i | −0.0855797 | − | 0.595220i | −0.986810 | − | 0.161880i | \(-0.948244\pi\) |
0.901231 | − | 0.433339i | \(-0.142665\pi\) | |||||||
\(264\) | −25.7441 | + | 6.85237i | −1.58444 | + | 0.421734i | ||||
\(265\) | 6.39684 | + | 5.54290i | 0.392955 | + | 0.340497i | ||||
\(266\) | 2.67187 | − | 4.66452i | 0.163823 | − | 0.286000i | ||||
\(267\) | 25.3620 | + | 8.80351i | 1.55213 | + | 0.538766i | ||||
\(268\) | −9.88236 | − | 16.8500i | −0.603661 | − | 1.02928i | ||||
\(269\) | −6.45687 | − | 5.59491i | −0.393682 | − | 0.341128i | 0.435417 | − | 0.900229i | \(-0.356601\pi\) |
−0.829099 | + | 0.559101i | \(0.811146\pi\) | |||||||
\(270\) | −7.92448 | + | 28.6015i | −0.482269 | + | 1.74063i | ||||
\(271\) | −10.9592 | + | 1.57570i | −0.665726 | + | 0.0957169i | −0.466889 | − | 0.884316i | \(-0.654625\pi\) |
−0.198836 | + | 0.980033i | \(0.563716\pi\) | |||||||
\(272\) | 7.27399 | + | 2.21624i | 0.441051 | + | 0.134379i | ||||
\(273\) | −10.2866 | − | 5.14908i | −0.622570 | − | 0.311636i | ||||
\(274\) | 17.3052 | − | 20.6004i | 1.04545 | − | 1.24452i | ||||
\(275\) | 20.4783 | + | 13.1606i | 1.23489 | + | 0.793613i | ||||
\(276\) | 14.3508 | − | 23.9098i | 0.863818 | − | 1.43920i | ||||
\(277\) | 1.66636 | − | 3.05171i | 0.100122 | − | 0.183359i | −0.822817 | − | 0.568307i | \(-0.807599\pi\) |
0.922938 | + | 0.384948i | \(0.125780\pi\) | |||||||
\(278\) | −30.1277 | + | 1.53826i | −1.80694 | + | 0.0922586i | ||||
\(279\) | 0.165216 | + | 0.398868i | 0.00989125 | + | 0.0238796i | ||||
\(280\) | −3.51771 | + | 6.06959i | −0.210224 | + | 0.362727i | ||||
\(281\) | −13.7368 | + | 11.0698i | −0.819466 | + | 0.660368i | −0.943302 | − | 0.331935i | \(-0.892298\pi\) |
0.123836 | + | 0.992303i | \(0.460480\pi\) | |||||||
\(282\) | 11.8359 | + | 0.664529i | 0.704820 | + | 0.0395721i | ||||
\(283\) | 9.50136 | − | 2.78985i | 0.564797 | − | 0.165839i | 0.0131449 | − | 0.999914i | \(-0.495816\pi\) |
0.551652 | + | 0.834074i | \(0.313998\pi\) | |||||||
\(284\) | −0.609033 | − | 1.23227i | −0.0361395 | − | 0.0731218i | ||||
\(285\) | −52.6489 | − | 11.4531i | −3.11865 | − | 0.678422i | ||||
\(286\) | −24.9772 | + | 9.75425i | −1.47693 | + | 0.576781i | ||||
\(287\) | −0.650132 | − | 1.74307i | −0.0383761 | − | 0.102890i | ||||
\(288\) | −23.6038 | + | 16.5699i | −1.39087 | + | 0.976390i | ||||
\(289\) | 13.2498 | + | 1.90504i | 0.779402 | + | 0.112061i | ||||
\(290\) | 13.1264 | − | 29.9482i | 0.770810 | − | 1.75862i | ||||
\(291\) | 17.4236 | − | 52.3494i | 1.02139 | − | 3.06878i | ||||
\(292\) | 4.66712 | + | 3.27565i | 0.273122 | + | 0.191693i | ||||
\(293\) | 19.9843 | − | 6.65140i | 1.16749 | − | 0.388579i | 0.334787 | − | 0.942294i | \(-0.391336\pi\) |
0.832706 | + | 0.553715i | \(0.186790\pi\) | |||||||
\(294\) | 25.4811 | − | 5.95314i | 1.48609 | − | 0.347194i | ||||
\(295\) | 19.9615 | + | 0.712928i | 1.16220 | + | 0.0415083i | ||||
\(296\) | 10.5257 | + | 14.8333i | 0.611794 | + | 0.862168i | ||||
\(297\) | −4.88720 | + | 19.1478i | −0.283584 | + | 1.11107i | ||||
\(298\) | −15.3287 | − | 11.1128i | −0.887968 | − | 0.643745i | ||||
\(299\) | 11.6598 | − | 25.5314i | 0.674304 | − | 1.47652i | ||||
\(300\) | 40.8562 | + | 9.10501i | 2.35883 | + | 0.525678i | ||||
\(301\) | −4.85943 | + | 4.85943i | −0.280093 | + | 0.280093i | ||||
\(302\) | −2.53764 | + | 4.82143i | −0.146025 | + | 0.277442i | ||||
\(303\) | −4.74576 | + | 3.55263i | −0.272637 | + | 0.204093i | ||||
\(304\) | −13.3491 | − | 16.9135i | −0.765621 | − | 0.970058i | ||||
\(305\) | 9.11241 | + | 50.5067i | 0.521775 | + | 2.89201i | ||||
\(306\) | 9.88720 | − | 9.49208i | 0.565214 | − | 0.542626i | ||||
\(307\) | −3.65019 | + | 9.78655i | −0.208328 | + | 0.558548i | −0.998524 | − | 0.0543053i | \(-0.982706\pi\) |
0.790197 | + | 0.612853i | \(0.209978\pi\) | |||||||
\(308\) | −2.25939 | + | 4.08833i | −0.128741 | + | 0.232954i | ||||
\(309\) | −31.1992 | + | 41.6772i | −1.77486 | + | 2.37093i | ||||
\(310\) | 0.380191 | − | 0.180714i | 0.0215934 | − | 0.0102638i | ||||
\(311\) | −8.82071 | − | 10.1796i | −0.500176 | − | 0.577234i | 0.448380 | − | 0.893843i | \(-0.352001\pi\) |
−0.948556 | + | 0.316609i | \(0.897456\pi\) | |||||||
\(312\) | −34.5356 | + | 30.5500i | −1.95519 | + | 1.72956i | ||||
\(313\) | 11.2065 | − | 16.1405i | 0.633431 | − | 0.912315i | −0.366404 | − | 0.930456i | \(-0.619411\pi\) |
0.999835 | + | 0.0181413i | \(0.00577486\pi\) | |||||||
\(314\) | 23.2118 | − | 10.0338i | 1.30992 | − | 0.566239i | ||||
\(315\) | 6.45222 | + | 10.8746i | 0.363541 | + | 0.612716i | ||||
\(316\) | 17.5107 | − | 3.06765i | 0.985056 | − | 0.172569i | ||||
\(317\) | −30.8259 | − | 9.05129i | −1.73135 | − | 0.508371i | −0.744174 | − | 0.667986i | \(-0.767157\pi\) |
−0.987179 | + | 0.159615i | \(0.948975\pi\) | |||||||
\(318\) | 9.13101 | + | 3.24730i | 0.512041 | + | 0.182100i | ||||
\(319\) | 8.33189 | − | 20.1150i | 0.466497 | − | 1.12622i | ||||
\(320\) | 17.3088 | + | 22.1608i | 0.967591 | + | 1.23883i | ||||
\(321\) | 42.5731 | − | 1.52050i | 2.37620 | − | 0.0848662i | ||||
\(322\) | −1.28161 | − | 4.71854i | −0.0714213 | − | 0.262954i | ||||
\(323\) | 7.49481 | + | 6.97792i | 0.417023 | + | 0.388262i | ||||
\(324\) | 0.345549 | + | 3.37507i | 0.0191972 | + | 0.187504i | ||||
\(325\) | 41.8901 | + | 4.50365i | 2.32364 | + | 0.249818i | ||||
\(326\) | −17.1927 | + | 17.7274i | −0.952213 | + | 0.981833i | ||||
\(327\) | −4.83361 | + | 3.35604i | −0.267299 | + | 0.185589i | ||||
\(328\) | −7.45449 | − | 0.189823i | −0.411605 | − | 0.0104812i | ||||
\(329\) | 1.52129 | − | 1.41637i | 0.0838716 | − | 0.0780872i | ||||
\(330\) | 45.8966 | + | 9.25047i | 2.52652 | + | 0.509222i | ||||
\(331\) | −2.09979 | − | 4.59790i | −0.115415 | − | 0.252724i | 0.843105 | − | 0.537749i | \(-0.180725\pi\) |
−0.958520 | + | 0.285025i | \(0.907998\pi\) | |||||||
\(332\) | 2.65000 | + | 12.4864i | 0.145437 | + | 0.685282i | ||||
\(333\) | 32.5958 | − | 3.50442i | 1.78624 | − | 0.192041i | ||||
\(334\) | 9.20329 | − | 11.7855i | 0.503582 | − | 0.644875i | ||||
\(335\) | 2.44911 | + | 34.2430i | 0.133809 | + | 1.87090i | ||||
\(336\) | −1.22371 | + | 7.93848i | −0.0667586 | + | 0.433080i | ||||
\(337\) | 11.8235 | + | 9.52799i | 0.644068 | + | 0.519023i | 0.893323 | − | 0.449415i | \(-0.148368\pi\) |
−0.249255 | + | 0.968438i | \(0.580186\pi\) | |||||||
\(338\) | −18.7802 | + | 20.8012i | −1.02151 | + | 1.13143i | ||||
\(339\) | 3.62166 | + | 0.259027i | 0.196702 | + | 0.0140684i | ||||
\(340\) | −9.73467 | − | 9.15592i | −0.527936 | − | 0.496549i | ||||
\(341\) | 0.250644 | − | 0.125463i | 0.0135731 | − | 0.00679422i | ||||
\(342\) | −38.3527 | + | 6.11511i | −2.07387 | + | 0.330667i | ||||
\(343\) | 4.86167 | − | 8.19391i | 0.262506 | − | 0.442429i | ||||
\(344\) | 10.8015 | + | 25.3400i | 0.582378 | + | 1.36624i | ||||
\(345\) | −41.2284 | + | 26.4959i | −2.21966 | + | 1.42649i | ||||
\(346\) | −9.08111 | + | 5.57783i | −0.488203 | + | 0.299866i | ||||
\(347\) | −0.450807 | − | 0.825591i | −0.0242006 | − | 0.0443200i | 0.865299 | − | 0.501256i | \(-0.167129\pi\) |
−0.889499 | + | 0.456936i | \(0.848947\pi\) | |||||||
\(348\) | 1.52604 | − | 37.4076i | 0.0818045 | − | 2.00526i | ||||
\(349\) | −3.76153 | − | 0.678655i | −0.201350 | − | 0.0363276i | 0.0759466 | − | 0.997112i | \(-0.475802\pi\) |
−0.277297 | + | 0.960784i | \(0.589439\pi\) | |||||||
\(350\) | 6.11282 | − | 4.06207i | 0.326744 | − | 0.217127i | ||||
\(351\) | 7.27038 | + | 33.4214i | 0.388064 | + | 1.78390i | ||||
\(352\) | 11.8234 | + | 14.5178i | 0.630191 | + | 0.773799i | ||||
\(353\) | −31.1172 | + | 7.94220i | −1.65620 | + | 0.422721i | −0.956505 | − | 0.291717i | \(-0.905774\pi\) |
−0.699699 | + | 0.714438i | \(0.746683\pi\) | |||||||
\(354\) | 21.5863 | − | 7.55371i | 1.14730 | − | 0.401475i | ||||
\(355\) | 2.41573i | 0.128214i | ||||||||
\(356\) | −1.68125 | − | 18.7929i | −0.0891060 | − | 0.996022i | ||||
\(357\) | − | 3.81739i | − | 0.202037i | ||||||
\(358\) | −5.01501 | − | 14.3315i | −0.265052 | − | 0.757441i | ||||
\(359\) | −27.4545 | + | 7.00735i | −1.44900 | + | 0.369834i | −0.888711 | − | 0.458467i | \(-0.848399\pi\) |
−0.560284 | + | 0.828301i | \(0.689308\pi\) | |||||||
\(360\) | 50.0914 | − | 7.72644i | 2.64005 | − | 0.407219i | ||||
\(361\) | −2.12918 | − | 9.78768i | −0.112062 | − | 0.515141i | ||||
\(362\) | 2.86583 | + | 4.31265i | 0.150625 | + | 0.226668i | ||||
\(363\) | −0.126143 | − | 0.0227587i | −0.00662080 | − | 0.00119452i | ||||
\(364\) | −0.329539 | + | 8.07793i | −0.0172726 | + | 0.423399i | ||||
\(365\) | −4.80250 | − | 8.79511i | −0.251374 | − | 0.460357i | ||||
\(366\) | 30.7548 | + | 50.0711i | 1.60758 | + | 2.61726i | ||||
\(367\) | 10.8640 | − | 6.98185i | 0.567095 | − | 0.364450i | −0.225458 | − | 0.974253i | \(-0.572388\pi\) |
0.792553 | + | 0.609803i | \(0.208752\pi\) | |||||||
\(368\) | −19.4640 | − | 2.29256i | −1.01463 | − | 0.119508i | ||||
\(369\) | −6.85839 | + | 11.5592i | −0.357034 | + | 0.601748i | ||||
\(370\) | −5.03311 | − | 31.5666i | −0.261659 | − | 1.64107i | ||||
\(371\) | 1.51952 | − | 0.760615i | 0.0788893 | − | 0.0394892i | ||||
\(372\) | 0.330213 | − | 0.351086i | 0.0171207 | − | 0.0182030i | ||||
\(373\) | −9.52912 | − | 0.681536i | −0.493399 | − | 0.0352886i | −0.177577 | − | 0.984107i | \(-0.556826\pi\) |
−0.315822 | + | 0.948818i | \(0.602280\pi\) | |||||||
\(374\) | −6.60474 | − | 5.96306i | −0.341523 | − | 0.308342i | ||||
\(375\) | −18.3387 | − | 14.7782i | −0.947004 | − | 0.763144i | ||||
\(376\) | −2.99136 | − | 7.77599i | −0.154268 | − | 0.401016i | ||||
\(377\) | −2.68827 | − | 37.5869i | −0.138453 | − | 1.93582i | ||||
\(378\) | 4.69605 | + | 3.66714i | 0.241539 | + | 0.188617i | ||||
\(379\) | −10.0253 | + | 1.07783i | −0.514963 | + | 0.0553643i | −0.360730 | − | 0.932670i | \(-0.617473\pi\) |
−0.154233 | + | 0.988034i | \(0.549291\pi\) | |||||||
\(380\) | 7.86155 | + | 37.0426i | 0.403289 | + | 1.90024i | ||||
\(381\) | 2.22052 | + | 4.86226i | 0.113761 | + | 0.249101i | ||||
\(382\) | 1.89512 | − | 9.40271i | 0.0969627 | − | 0.481085i | ||||
\(383\) | −8.85498 | + | 8.24428i | −0.452468 | + | 0.421263i | −0.874281 | − | 0.485420i | \(-0.838667\pi\) |
0.421813 | + | 0.906683i | \(0.361394\pi\) | |||||||
\(384\) | 27.6903 | + | 16.4258i | 1.41306 | + | 0.838225i | ||||
\(385\) | 6.74328 | − | 4.68194i | 0.343669 | − | 0.238614i | ||||
\(386\) | 14.6701 | + | 14.2276i | 0.746691 | + | 0.724165i | ||||
\(387\) | 49.3661 | + | 5.30740i | 2.50942 | + | 0.269790i | ||||
\(388\) | −38.5744 | + | 3.94935i | −1.95832 | + | 0.200498i | ||||
\(389\) | 24.1774 | + | 22.5100i | 1.22585 | + | 1.14130i | 0.985331 | + | 0.170657i | \(0.0545889\pi\) |
0.240515 | + | 0.970646i | \(0.422684\pi\) | |||||||
\(390\) | 78.2008 | − | 21.2402i | 3.95985 | − | 1.07554i | ||||
\(391\) | 9.30841 | − | 0.332451i | 0.470747 | − | 0.0168128i | ||||
\(392\) | −11.1713 | − | 14.6088i | −0.564235 | − | 0.737857i | ||||
\(393\) | 9.43729 | − | 22.7836i | 0.476048 | − | 1.14928i | ||||
\(394\) | 4.39910 | − | 12.3697i | 0.221623 | − | 0.623177i | ||||
\(395\) | −29.9775 | − | 8.80219i | −1.50833 | − | 0.442886i | ||||
\(396\) | 33.2415 | − | 5.82347i | 1.67045 | − | 0.292640i | ||||
\(397\) | 3.21391 | + | 5.41676i | 0.161302 | + | 0.271859i | 0.929855 | − | 0.367926i | \(-0.119932\pi\) |
−0.768553 | + | 0.639786i | \(0.779023\pi\) | |||||||
\(398\) | 14.4580 | + | 33.4467i | 0.724715 | + | 1.67653i | ||||
\(399\) | −6.16908 | + | 8.88517i | −0.308841 | + | 0.444815i | ||||
\(400\) | −5.96141 | − | 28.8082i | −0.298071 | − | 1.44041i | ||||
\(401\) | −23.8432 | − | 27.5165i | −1.19067 | − | 1.37411i | −0.910160 | − | 0.414257i | \(-0.864042\pi\) |
−0.280511 | − | 0.959851i | \(-0.590504\pi\) | |||||||
\(402\) | 16.8744 | + | 35.5008i | 0.841618 | + | 1.77062i | ||||
\(403\) | 0.290723 | − | 0.388360i | 0.0144819 | − | 0.0193456i | ||||
\(404\) | 3.64658 | + | 2.01526i | 0.181424 | + | 0.100263i | ||||
\(405\) | 2.08370 | − | 5.58662i | 0.103540 | − | 0.277601i | ||||
\(406\) | −4.54619 | − | 4.73543i | −0.225624 | − | 0.235016i | ||||
\(407\) | −3.77905 | − | 20.9459i | −0.187321 | − | 1.03825i | ||||
\(408\) | −14.1957 | − | 5.71044i | −0.702792 | − | 0.282709i | ||||
\(409\) | −4.41011 | + | 3.30137i | −0.218066 | + | 0.163242i | −0.702726 | − | 0.711460i | \(-0.748034\pi\) |
0.484660 | + | 0.874702i | \(0.338943\pi\) | |||||||
\(410\) | 11.5970 | + | 6.10378i | 0.572734 | + | 0.301444i | ||||
\(411\) | −38.2812 | + | 38.2812i | −1.88827 | + | 1.88827i | ||||
\(412\) | 35.7131 | + | 7.95885i | 1.75946 | + | 0.392105i | ||||
\(413\) | 1.66580 | − | 3.64759i | 0.0819687 | − | 0.179486i | ||||
\(414\) | −20.7342 | + | 28.6003i | −1.01903 | + | 1.40563i | ||||
\(415\) | 5.54786 | − | 21.7363i | 0.272334 | − | 1.06699i | ||||
\(416\) | 29.5464 | + | 13.3093i | 1.44863 | + | 0.652540i | ||||
\(417\) | 60.6641 | + | 2.16662i | 2.97073 | + | 0.106100i | ||||
\(418\) | 5.73630 | + | 24.5529i | 0.280571 | + | 1.20092i | ||||
\(419\) | −31.2600 | + | 10.4043i | −1.52715 | + | 0.508285i | −0.951035 | − | 0.309082i | \(-0.899978\pi\) |
−0.576117 | + | 0.817367i | \(0.695433\pi\) | |||||||
\(420\) | 8.10958 | − | 11.5545i | 0.395707 | − | 0.563800i | ||||
\(421\) | −6.40193 | + | 19.2347i | −0.312011 | + | 0.937444i | 0.668961 | + | 0.743297i | \(0.266739\pi\) |
−0.980973 | + | 0.194146i | \(0.937806\pi\) | |||||||
\(422\) | −29.8785 | − | 13.0959i | −1.45446 | − | 0.637497i | ||||
\(423\) | −14.8643 | − | 2.13717i | −0.722728 | − | 0.103913i | ||||
\(424\) | −0.555448 | − | 6.78842i | −0.0269750 | − | 0.329675i | ||||
\(425\) | 4.88599 | + | 13.0999i | 0.237005 | + | 0.635436i | ||||
\(426\) | 1.00616 | + | 2.57643i | 0.0487487 | + | 0.124828i | ||||
\(427\) | 10.0678 | + | 2.19012i | 0.487216 | + | 0.105987i | ||||
\(428\) | −13.2656 | − | 26.8407i | −0.641219 | − | 1.29739i | ||||
\(429\) | 51.7708 | − | 15.2013i | 2.49952 | − | 0.733924i | ||||
\(430\) | 2.71377 | − | 48.3350i | 0.130870 | − | 2.33092i | ||||
\(431\) | 1.80245 | − | 1.45251i | 0.0868210 | − | 0.0699648i | −0.583083 | − | 0.812413i | \(-0.698154\pi\) |
0.669904 | + | 0.742448i | \(0.266335\pi\) | |||||||
\(432\) | 20.6618 | − | 11.9775i | 0.994092 | − | 0.576268i | ||||
\(433\) | −10.8286 | − | 26.1425i | −0.520389 | − | 1.25633i | −0.937662 | − | 0.347548i | \(-0.887014\pi\) |
0.417274 | − | 0.908781i | \(-0.362986\pi\) | |||||||
\(434\) | −0.00430926 | − | 0.0843995i | −0.000206851 | − | 0.00405130i | ||||
\(435\) | −31.5331 | + | 57.7486i | −1.51190 | + | 2.76883i | ||||
\(436\) | 3.54597 | + | 2.12831i | 0.169821 | + | 0.101928i | ||||
\(437\) | −22.2031 | − | 14.2691i | −1.06212 | − | 0.682582i | ||||
\(438\) | −8.78516 | − | 7.37991i | −0.419771 | − | 0.352626i | ||||
\(439\) | 11.2408 | + | 5.62676i | 0.536496 | + | 0.268551i | 0.695251 | − | 0.718767i | \(-0.255293\pi\) |
−0.158755 | + | 0.987318i | \(0.550748\pi\) | |||||||
\(440\) | −7.32343 | − | 32.0800i | −0.349131 | − | 1.52935i | ||||
\(441\) | −32.8108 | + | 4.71748i | −1.56242 | + | 0.224642i | ||||
\(442\) | −14.8419 | − | 4.11218i | −0.705957 | − | 0.195597i | ||||
\(443\) | 17.8097 | + | 15.4322i | 0.846166 | + | 0.733207i | 0.965710 | − | 0.259622i | \(-0.0835980\pi\) |
−0.119545 | + | 0.992829i | \(0.538143\pi\) | |||||||
\(444\) | −18.5155 | − | 31.5701i | −0.878709 | − | 1.49825i | ||||
\(445\) | −11.9849 | + | 30.9180i | −0.568140 | + | 1.46565i | ||||
\(446\) | −18.7683 | − | 10.7507i | −0.888707 | − | 0.509058i | ||||
\(447\) | 28.7923 | + | 24.9487i | 1.36183 | + | 1.18003i | ||||
\(448\) | 5.44005 | − | 1.50782i | 0.257018 | − | 0.0712376i | ||||
\(449\) | −3.76930 | − | 26.2160i | −0.177884 | − | 1.23721i | −0.861647 | − | 0.507507i | \(-0.830567\pi\) |
0.683763 | − | 0.729704i | \(-0.260342\pi\) | |||||||
\(450\) | −50.5625 | − | 15.9730i | −2.38354 | − | 0.752976i | ||||
\(451\) | 7.80307 | + | 3.90594i | 0.367432 | + | 0.183924i | ||||
\(452\) | −0.879639 | − | 2.39544i | −0.0413748 | − | 0.112672i | ||||
\(453\) | 5.92735 | − | 9.22313i | 0.278491 | − | 0.433340i | ||||
\(454\) | −0.237722 | + | 11.6593i | −0.0111569 | + | 0.547199i | ||||
\(455\) | 6.80938 | − | 12.4704i | 0.319228 | − | 0.584623i | ||||
\(456\) | 23.8129 | + | 36.2323i | 1.11514 | + | 1.69673i | ||||
\(457\) | 29.9095 | − | 12.3889i | 1.39911 | − | 0.579530i | 0.449589 | − | 0.893236i | \(-0.351570\pi\) |
0.949520 | + | 0.313706i | \(0.101570\pi\) | |||||||
\(458\) | 5.06352 | − | 2.86641i | 0.236603 | − | 0.133939i | ||||
\(459\) | −8.83783 | + | 7.12197i | −0.412515 | + | 0.332425i | ||||
\(460\) | 28.8810 | + | 18.7683i | 1.34658 | + | 0.875079i | ||||
\(461\) | 4.22421 | + | 14.3863i | 0.196741 | + | 0.670039i | 0.997475 | + | 0.0710185i | \(0.0226249\pi\) |
−0.800734 | + | 0.599020i | \(0.795557\pi\) | |||||||
\(462\) | 5.24180 | − | 7.80199i | 0.243870 | − | 0.362982i | ||||
\(463\) | 15.5271 | + | 3.37772i | 0.721606 | + | 0.156976i | 0.558347 | − | 0.829607i | \(-0.311436\pi\) |
0.163259 | + | 0.986583i | \(0.447799\pi\) | |||||||
\(464\) | −24.4103 | + | 9.82215i | −1.13322 | + | 0.455982i | ||||
\(465\) | −0.793648 | + | 0.296015i | −0.0368045 | + | 0.0137274i | ||||
\(466\) | −20.6999 | − | 9.96818i | −0.958903 | − | 0.461767i | ||||
\(467\) | −23.3733 | − | 3.36058i | −1.08159 | − | 0.155509i | −0.421598 | − | 0.906783i | \(-0.638531\pi\) |
−0.659991 | + | 0.751274i | \(0.729440\pi\) | |||||||
\(468\) | 46.9363 | − | 34.7660i | 2.16963 | − | 1.60706i | ||||
\(469\) | 6.53938 | + | 2.17651i | 0.301961 | + | 0.100502i | ||||
\(470\) | −1.34207 | + | 14.5807i | −0.0619052 | + | 0.672556i | ||||
\(471\) | −48.2805 | + | 16.0693i | −2.22465 | + | 0.740433i | ||||
\(472\) | −11.0724 | − | 11.6511i | −0.509650 | − | 0.536283i | ||||
\(473\) | 1.15052 | − | 32.2139i | 0.0529011 | − | 1.48120i | ||||
\(474\) | −35.6378 | + | 3.09805i | −1.63690 | + | 0.142298i | ||||
\(475\) | 9.79760 | − | 38.3866i | 0.449545 | − | 1.76130i | ||||
\(476\) | −2.44607 | + | 1.10212i | −0.112116 | + | 0.0505157i | ||||
\(477\) | −11.1673 | − | 5.09993i | −0.511315 | − | 0.233510i | ||||
\(478\) | −34.3854 | + | 10.6711i | −1.57275 | + | 0.488083i | ||||
\(479\) | 15.1568 | − | 15.1568i | 0.692531 | − | 0.692531i | −0.270257 | − | 0.962788i | \(-0.587109\pi\) |
0.962788 | + | 0.270257i | \(0.0871088\pi\) | |||||||
\(480\) | −30.8364 | − | 47.4414i | −1.40748 | − | 2.16539i | ||||
\(481\) | −22.0761 | − | 29.4903i | −1.00659 | − | 1.34464i | ||||
\(482\) | −1.84431 | − | 2.38664i | −0.0840062 | − | 0.108709i | ||||
\(483\) | 1.74690 | + | 9.68243i | 0.0794868 | + | 0.440566i | ||||
\(484\) | 0.0218358 | + | 0.0873997i | 0.000992538 | + | 0.00397272i | ||||
\(485\) | 63.8506 | + | 23.8150i | 2.89931 | + | 1.08139i | ||||
\(486\) | 0.283358 | + | 18.5021i | 0.0128534 | + | 0.839271i | ||||
\(487\) | −18.5426 | + | 24.7700i | −0.840244 | + | 1.12243i | 0.150756 | + | 0.988571i | \(0.451829\pi\) |
−0.991000 | + | 0.133863i | \(0.957262\pi\) | |||||||
\(488\) | 23.2049 | − | 34.1629i | 1.05043 | − | 1.54648i | ||||
\(489\) | 37.5548 | − | 32.5415i | 1.69829 | − | 1.47158i | ||||
\(490\) | 6.22505 | + | 31.7156i | 0.281219 | + | 1.43276i | ||||
\(491\) | 3.30692 | − | 4.76286i | 0.149239 | − | 0.214945i | −0.739740 | − | 0.672893i | \(-0.765052\pi\) |
0.888979 | + | 0.457948i | \(0.151415\pi\) | |||||||
\(492\) | 14.9107 | + | 1.67961i | 0.672225 | + | 0.0757228i | ||||
\(493\) | 10.7546 | − | 6.38099i | 0.484362 | − | 0.287385i | ||||
\(494\) | 27.8998 | + | 33.5566i | 1.25527 | + | 1.50978i | ||||
\(495\) | −56.9077 | − | 16.7096i | −2.55781 | − | 0.751041i | ||||
\(496\) | −0.320302 | − | 0.110229i | −0.0143820 | − | 0.00494941i | ||||
\(497\) | 0.448058 | + | 0.185592i | 0.0200981 | + | 0.00832492i | ||||
\(498\) | −3.13636 | − | 25.4929i | −0.140544 | − | 1.14237i | ||||
\(499\) | −27.1665 | + | 0.970252i | −1.21614 | + | 0.0434345i | −0.636394 | − | 0.771364i | \(-0.719575\pi\) |
−0.579744 | + | 0.814799i | \(0.696847\pi\) | |||||||
\(500\) | −4.17489 | + | 16.0175i | −0.186707 | + | 0.716326i | ||||
\(501\) | −20.5034 | + | 22.0222i | −0.916023 | + | 0.983878i | ||||
\(502\) | −2.65953 | + | 1.90756i | −0.118701 | + | 0.0851384i | ||||
\(503\) | −22.7385 | − | 2.44464i | −1.01386 | − | 0.109001i | −0.414972 | − | 0.909834i | \(-0.636209\pi\) |
−0.598888 | + | 0.800833i | \(0.704391\pi\) | |||||||
\(504\) | 2.41527 | − | 9.88429i | 0.107585 | − | 0.440281i | ||||
\(505\) | −4.17605 | − | 6.01465i | −0.185832 | − | 0.267649i | ||||
\(506\) | 19.4811 | + | 12.1023i | 0.866040 | + | 0.538012i | ||||
\(507\) | 41.2730 | − | 38.4266i | 1.83300 | − | 1.70658i | ||||
\(508\) | 2.47451 | − | 2.82664i | 0.109789 | − | 0.125412i | ||||
\(509\) | 20.8461 | − | 9.52011i | 0.923988 | − | 0.421971i | 0.104147 | − | 0.994562i | \(-0.466789\pi\) |
0.819841 | + | 0.572591i | \(0.194062\pi\) | |||||||
\(510\) | 17.9192 | + | 20.0510i | 0.793474 | + | 0.887873i | ||||
\(511\) | −2.00023 | + | 0.215047i | −0.0884851 | + | 0.00951313i | ||||
\(512\) | 2.53069 | − | 22.4855i | 0.111842 | − | 0.993726i | ||||
\(513\) | 32.0800 | − | 2.29441i | 1.41637 | − | 0.101300i | ||||
\(514\) | 15.2494 | + | 2.51082i | 0.672623 | + | 0.110747i | ||||
\(515\) | −50.0698 | − | 40.3488i | −2.20634 | − | 1.77798i | ||||
\(516\) | −17.2374 | − | 52.6806i | −0.758836 | − | 2.31913i | ||||
\(517\) | −0.695525 | + | 9.72471i | −0.0305892 | + | 0.427692i | ||||
\(518\) | −6.24149 | − | 1.49163i | −0.274235 | − | 0.0655383i | ||||
\(519\) | 19.1766 | − | 9.59913i | 0.841760 | − | 0.421355i | ||||
\(520\) | −36.1876 | − | 43.9766i | −1.58693 | − | 1.92850i | ||||
\(521\) | 2.32723 | + | 1.38081i | 0.101958 | + | 0.0604945i | 0.560352 | − | 0.828255i | \(-0.310666\pi\) |
−0.458394 | + | 0.888749i | \(0.651575\pi\) | |||||||
\(522\) | −6.02987 | + | 47.0418i | −0.263920 | + | 2.05896i | ||||
\(523\) | −27.4578 | + | 17.6460i | −1.20064 | + | 0.771607i | −0.979068 | − | 0.203536i | \(-0.934757\pi\) |
−0.221577 | + | 0.975143i | \(0.571120\pi\) | |||||||
\(524\) | −17.3238 | + | 0.530748i | −0.756792 | + | 0.0231858i | ||||
\(525\) | −12.9620 | + | 7.07781i | −0.565710 | + | 0.308901i | ||||
\(526\) | 12.2368 | − | 6.36147i | 0.533549 | − | 0.277373i | ||||
\(527\) | 0.158430 | + | 0.0285840i | 0.00690133 | + | 0.00124514i | ||||
\(528\) | −21.1720 | − | 31.1637i | −0.921394 | − | 1.35623i | ||||
\(529\) | −0.983388 | + | 0.213923i | −0.0427560 | + | 0.00930100i | ||||
\(530\) | −4.41093 | + | 11.1279i | −0.191598 | + | 0.483365i | ||||
\(531\) | −28.0711 | + | 7.16473i | −1.21818 | + | 0.310923i | ||||
\(532\) | 7.47445 | + | 1.38772i | 0.324059 | + | 0.0601655i | ||||
\(533\) | 15.1029 | 0.654178 | ||||||||
\(534\) | 0.0953277 | + | 37.9665i | 0.00412523 | + | 1.64297i | ||||
\(535\) | 52.6182i | 2.27488i | ||||||||
\(536\) | 17.8761 | − | 21.0621i | 0.772129 | − | 0.909745i | ||||
\(537\) | 7.55590 | + | 29.6037i | 0.326061 | + | 1.27749i | ||||
\(538\) | 4.45232 | − | 11.2323i | 0.191953 | − | 0.484260i | ||||
\(539\) | 4.57456 | + | 21.0289i | 0.197040 | + | 0.905779i | ||||
\(540\) | −41.8801 | + | 2.78188i | −1.80223 | + | 0.119713i | ||||
\(541\) | 2.14448 | − | 11.8860i | 0.0921984 | − | 0.511021i | −0.904263 | − | 0.426975i | \(-0.859579\pi\) |
0.996462 | − | 0.0840463i | \(-0.0267844\pi\) | |||||||
\(542\) | −7.22241 | − | 13.8929i | −0.310229 | − | 0.596750i | ||||
\(543\) | −4.99346 | − | 9.14485i | −0.214290 | − | 0.392443i | ||||
\(544\) | 0.439373 | + | 10.7449i | 0.0188379 | + | 0.460683i | ||||
\(545\) | −3.92951 | − | 6.11443i | −0.168322 | − | 0.261913i | ||||
\(546\) | 2.06835 | − | 16.1361i | 0.0885170 | − | 0.690562i | ||||
\(547\) | 11.4347 | − | 19.2722i | 0.488912 | − | 0.824018i | −0.510443 | − | 0.859911i | \(-0.670519\pi\) |
0.999356 | + | 0.0358937i | \(0.0114278\pi\) | |||||||
\(548\) | 35.5817 | + | 13.4773i | 1.51998 | + | 0.575721i | ||||
\(549\) | −33.3200 | − | 66.5650i | −1.42206 | − | 2.84092i | ||||
\(550\) | −8.00189 | + | 33.4827i | −0.341202 | + | 1.42771i | ||||
\(551\) | −35.3439 | − | 2.52784i | −1.50570 | − | 0.107690i | ||||
\(552\) | 38.6192 | + | 7.98778i | 1.64374 | + | 0.339983i | ||||
\(553\) | −3.93565 | + | 4.88384i | −0.167361 | + | 0.207682i | ||||
\(554\) | 4.85192 | + | 0.798868i | 0.206138 | + | 0.0339407i | ||||
\(555\) | 4.58864 | + | 64.1575i | 0.194777 | + | 2.72334i | ||||
\(556\) | −16.1261 | − | 39.4974i | −0.683899 | − | 1.67506i | ||||
\(557\) | 0.961256 | + | 8.94099i | 0.0407297 | + | 0.378842i | 0.996425 | + | 0.0844837i | \(0.0269241\pi\) |
−0.955695 | + | 0.294358i | \(0.904894\pi\) | |||||||
\(558\) | −0.455254 | + | 0.406851i | −0.0192724 | + | 0.0172234i | ||||
\(559\) | −23.1763 | − | 50.7489i | −0.980251 | − | 2.14645i | ||||
\(560\) | −9.74510 | − | 1.86048i | −0.411806 | − | 0.0786197i | ||||
\(561\) | 12.2011 | + | 13.1049i | 0.515132 | + | 0.553291i | ||||
\(562\) | −21.1929 | − | 13.1657i | −0.893970 | − | 0.555363i | ||||
\(563\) | 0.392504 | − | 0.272520i | 0.0165421 | − | 0.0114854i | −0.562023 | − | 0.827122i | \(-0.689977\pi\) |
0.578565 | + | 0.815636i | \(0.303613\pi\) | |||||||
\(564\) | 4.64156 | + | 16.1096i | 0.195445 | + | 0.678335i | ||||
\(565\) | −0.479399 | + | 4.45907i | −0.0201685 | + | 0.187594i | ||||
\(566\) | 8.16214 | + | 11.3797i | 0.343080 | + | 0.478325i | ||||
\(567\) | −0.876095 | − | 0.815674i | −0.0367926 | − | 0.0342551i | ||||
\(568\) | 1.36041 | − | 1.38856i | 0.0570815 | − | 0.0582628i | ||||
\(569\) | −0.940679 | − | 26.3384i | −0.0394353 | − | 1.10416i | −0.852743 | − | 0.522330i | \(-0.825063\pi\) |
0.813308 | − | 0.581833i | \(-0.197664\pi\) | |||||||
\(570\) | −9.30441 | − | 75.6280i | −0.389719 | − | 3.16771i | ||||
\(571\) | 6.05428 | − | 14.6163i | 0.253364 | − | 0.611675i | −0.745108 | − | 0.666944i | \(-0.767602\pi\) |
0.998471 | + | 0.0552697i | \(0.0176019\pi\) | |||||||
\(572\) | −24.6874 | − | 28.7845i | −1.03223 | − | 1.20354i | ||||
\(573\) | −5.43768 | + | 18.5190i | −0.227162 | + | 0.773643i | ||||
\(574\) | 2.02305 | − | 1.68202i | 0.0844406 | − | 0.0702062i | ||||
\(575\) | −18.3876 | − | 30.9906i | −0.766815 | − | 1.29240i | ||||
\(576\) | −33.1437 | − | 23.7676i | −1.38099 | − | 0.990317i | ||||
\(577\) | 25.0986 | + | 17.4263i | 1.04487 | + | 0.725465i | 0.962540 | − | 0.271140i | \(-0.0874006\pi\) |
0.0823287 | + | 0.996605i | \(0.473764\pi\) | |||||||
\(578\) | 3.64611 | + | 18.5763i | 0.151658 | + | 0.772674i | ||||
\(579\) | −26.9293 | − | 31.0781i | −1.11914 | − | 1.29156i | ||||
\(580\) | 46.1076 | + | 3.53285i | 1.91451 | + | 0.146693i | ||||
\(581\) | −3.60532 | − | 2.69891i | −0.149574 | − | 0.111970i | ||||
\(582\) | 78.0170 | − | 1.19482i | 3.23391 | − | 0.0495270i | ||||
\(583\) | −2.78536 | + | 7.46783i | −0.115358 | + | 0.309286i | ||||
\(584\) | −2.19246 | + | 7.75995i | −0.0907246 | + | 0.321109i | ||||
\(585\) | −101.021 | + | 18.2263i | −4.17672 | + | 0.753564i | ||||
\(586\) | 18.2133 | + | 23.5690i | 0.752385 | + | 0.973627i | ||||
\(587\) | 4.81904 | − | 3.60749i | 0.198903 | − | 0.148897i | −0.495184 | − | 0.868788i | \(-0.664899\pi\) |
0.694087 | + | 0.719891i | \(0.255808\pi\) | |||||||
\(588\) | 19.8488 | + | 31.2326i | 0.818552 | + | 1.28801i | ||||
\(589\) | −0.322562 | − | 0.322562i | −0.0132909 | − | 0.0132909i | ||||
\(590\) | 8.37245 | + | 26.9786i | 0.344688 | + | 1.11069i | ||||
\(591\) | −10.9744 | + | 24.0305i | −0.451425 | + | 0.988483i | ||||
\(592\) | −14.8836 | + | 20.9789i | −0.611711 | + | 0.862227i | ||||
\(593\) | 26.8225 | + | 6.84603i | 1.10147 | + | 0.281133i | 0.754207 | − | 0.656636i | \(-0.228021\pi\) |
0.347260 | + | 0.937769i | \(0.387112\pi\) | |||||||
\(594\) | −27.8423 | + | 2.42037i | −1.14238 | + | 0.0993090i | ||||
\(595\) | 4.71208 | + | 0.168292i | 0.193176 | + | 0.00689931i | ||||
\(596\) | 7.67374 | − | 25.6523i | 0.314329 | − | 1.05076i | ||||
\(597\) | −23.1548 | − | 69.5690i | −0.947662 | − | 2.84727i | ||||
\(598\) | 39.5269 | + | 3.63824i | 1.61637 | + | 0.148779i | ||||
\(599\) | 12.6510 | − | 38.0101i | 0.516904 | − | 1.55305i | −0.286782 | − | 0.957996i | \(-0.592586\pi\) |
0.803687 | − | 0.595053i | \(-0.202869\pi\) | |||||||
\(600\) | 6.93027 | + | 58.7897i | 0.282927 | + | 2.40008i | ||||
\(601\) | 1.84397 | − | 12.8251i | 0.0752170 | − | 0.523146i | −0.917026 | − | 0.398829i | \(-0.869417\pi\) |
0.992243 | − | 0.124317i | \(-0.0396741\pi\) | |||||||
\(602\) | −8.75645 | − | 4.21674i | −0.356886 | − | 0.171861i | ||||
\(603\) | −17.4011 | − | 46.6541i | −0.708627 | − | 1.89990i | ||||
\(604\) | −7.62121 | − | 1.13525i | −0.310103 | − | 0.0461928i | ||||
\(605\) | 0.0336539 | − | 0.154705i | 0.00136823 | − | 0.00628963i | ||||
\(606\) | −6.95897 | − | 4.67541i | −0.282689 | − | 0.189926i | ||||
\(607\) | 5.41170 | − | 1.58902i | 0.219654 | − | 0.0644963i | −0.170054 | − | 0.985435i | \(-0.554394\pi\) |
0.389708 | + | 0.920938i | \(0.372576\pi\) | |||||||
\(608\) | 16.3416 | − | 25.7193i | 0.662739 | − | 1.04306i | ||||
\(609\) | 8.28835 | + | 10.2852i | 0.335861 | + | 0.416778i | ||||
\(610\) | −63.1623 | + | 35.7555i | −2.55737 | + | 1.44770i | ||||
\(611\) | 6.45751 | + | 15.5898i | 0.261243 | + | 0.630696i | ||||
\(612\) | 17.2888 | + | 8.76411i | 0.698859 | + | 0.354268i | ||||
\(613\) | −17.4673 | − | 9.53789i | −0.705500 | − | 0.385232i | 0.0860881 | − | 0.996288i | \(-0.472563\pi\) |
−0.791588 | + | 0.611056i | \(0.790745\pi\) | |||||||
\(614\) | −14.7686 | − | 0.301117i | −0.596011 | − | 0.0121521i | ||||
\(615\) | −22.1844 | − | 14.2570i | −0.894560 | − | 0.574899i | ||||
\(616\) | −6.51266 | − | 1.10627i | −0.262403 | − | 0.0445729i | ||||
\(617\) | −8.81578 | + | 17.6117i | −0.354910 | + | 0.709020i | −0.998407 | − | 0.0564291i | \(-0.982029\pi\) |
0.643497 | + | 0.765449i | \(0.277483\pi\) | |||||||
\(618\) | −70.2059 | − | 22.1785i | −2.82409 | − | 0.892151i | ||||
\(619\) | 29.3534 | − | 4.22039i | 1.17981 | − | 0.169632i | 0.475628 | − | 0.879647i | \(-0.342221\pi\) |
0.704187 | + | 0.710015i | \(0.251312\pi\) | |||||||
\(620\) | 0.418813 | + | 0.423084i | 0.0168199 | + | 0.0169915i | ||||
\(621\) | 19.1572 | − | 22.1085i | 0.768751 | − | 0.887185i | ||||
\(622\) | 9.46807 | − | 16.5292i | 0.379635 | − | 0.662762i | ||||
\(623\) | 4.81377 | + | 4.59822i | 0.192859 | + | 0.184224i | ||||
\(624\) | −56.9113 | − | 31.8296i | −2.27827 | − | 1.27420i | ||||
\(625\) | −5.03099 | + | 5.80607i | −0.201239 | + | 0.232243i | ||||
\(626\) | 26.7797 | + | 7.41973i | 1.07033 | + | 0.296552i | ||||
\(627\) | −7.22055 | − | 50.2200i | −0.288361 | − | 2.00560i | ||||
\(628\) | 24.2359 | + | 26.2974i | 0.967116 | + | 1.04938i | ||||
\(629\) | 5.47199 | − | 10.9316i | 0.218182 | − | 0.435873i | ||||
\(630\) | −11.5021 | + | 13.6923i | −0.458255 | + | 0.545514i | ||||
\(631\) | 5.36231 | − | 8.34391i | 0.213470 | − | 0.332166i | −0.717961 | − | 0.696083i | \(-0.754925\pi\) |
0.931431 | + | 0.363917i | \(0.118561\pi\) | |||||||
\(632\) | 12.2742 | + | 21.9412i | 0.488241 | + | 0.872776i | ||||
\(633\) | 57.6142 | + | 31.4597i | 2.28996 | + | 1.25041i | ||||
\(634\) | −2.31679 | − | 45.3757i | −0.0920114 | − | 1.80210i | ||||
\(635\) | −6.09974 | + | 2.52659i | −0.242061 | + | 0.100265i | ||||
\(636\) | −0.0695210 | + | 13.7053i | −0.00275669 | + | 0.543451i | ||||
\(637\) | 23.3717 | + | 29.0025i | 0.926019 | + | 1.14912i | ||||
\(638\) | 30.7423 | + | 1.72602i | 1.21710 | + | 0.0683340i | ||||
\(639\) | −0.987141 | − | 3.36189i | −0.0390507 | − | 0.132994i | ||||
\(640\) | −21.4963 | + | 33.4560i | −0.849716 | + | 1.32246i | ||||
\(641\) | −5.31004 | + | 24.4099i | −0.209734 | + | 0.964132i | 0.745091 | + | 0.666963i | \(0.232406\pi\) |
−0.954825 | + | 0.297169i | \(0.903958\pi\) | |||||||
\(642\) | 21.9157 | + | 56.1183i | 0.864943 | + | 2.21481i | ||||
\(643\) | −4.08993 | + | 1.52546i | −0.161291 | + | 0.0601584i | −0.428813 | − | 0.903393i | \(-0.641068\pi\) |
0.267522 | + | 0.963552i | \(0.413795\pi\) | |||||||
\(644\) | 5.69988 | − | 3.91480i | 0.224607 | − | 0.154265i | ||||
\(645\) | −13.8635 | + | 96.4226i | −0.545874 | + | 3.79663i | ||||
\(646\) | −5.81359 | + | 13.2638i | −0.228733 | + | 0.521859i | ||||
\(647\) | 19.3259 | + | 6.43227i | 0.759778 | + | 0.252879i | 0.669272 | − | 0.743017i | \(-0.266606\pi\) |
0.0905062 | + | 0.995896i | \(0.471151\pi\) | |||||||
\(648\) | −4.34380 | + | 2.03776i | −0.170641 | + | 0.0800509i | ||||
\(649\) | 5.93981 | + | 17.8463i | 0.233158 | + | 0.700527i | ||||
\(650\) | 13.5553 | + | 58.0205i | 0.531684 | + | 2.27575i | ||||
\(651\) | −0.00606955 | + | 0.169944i | −0.000237884 | + | 0.00666062i | ||||
\(652\) | −31.6942 | − | 14.6690i | −1.24124 | − | 0.574482i | ||||
\(653\) | −17.8677 | − | 4.56046i | −0.699217 | − | 0.178464i | −0.118961 | − | 0.992899i | \(-0.537956\pi\) |
−0.580255 | + | 0.814435i | \(0.697047\pi\) | |||||||
\(654\) | −6.73759 | − | 4.88451i | −0.263461 | − | 0.190999i | ||||
\(655\) | 27.7075 | + | 12.6536i | 1.08262 | + | 0.494416i | ||||
\(656\) | −3.22863 | − | 10.0393i | −0.126057 | − | 0.391967i | ||||
\(657\) | 10.2774 | + | 10.2774i | 0.400961 | + | 0.400961i | ||||
\(658\) | 2.60124 | + | 1.36910i | 0.101407 | + | 0.0533730i | ||||
\(659\) | 11.8851 | + | 15.8766i | 0.462977 | + | 0.618465i | 0.969893 | − | 0.243531i | \(-0.0783056\pi\) |
−0.506916 | + | 0.861995i | \(0.669215\pi\) | |||||||
\(660\) | 9.09050 | + | 65.5858i | 0.353847 | + | 2.55292i | ||||
\(661\) | 27.5853 | − | 4.97693i | 1.07294 | − | 0.193580i | 0.387619 | − | 0.921819i | \(-0.373297\pi\) |
0.685323 | + | 0.728239i | \(0.259661\pi\) | |||||||
\(662\) | 5.15667 | − | 4.95059i | 0.200420 | − | 0.192410i | ||||
\(663\) | 29.0364 | + | 10.8300i | 1.12768 | + | 0.420603i | ||||
\(664\) | −15.4296 | + | 9.36979i | −0.598787 | + | 0.363619i | ||||
\(665\) | −10.6956 | − | 8.00666i | −0.414759 | − | 0.310485i | ||||
\(666\) | 19.9035 | + | 41.8735i | 0.771245 | + | 1.62257i | ||||
\(667\) | −24.3579 | + | 21.1063i | −0.943142 | + | 0.817237i | ||||
\(668\) | 20.0307 | + | 6.77993i | 0.775013 | + | 0.262323i | ||||
\(669\) | 35.7508 | + | 24.8222i | 1.38220 | + | 0.959681i | ||||
\(670\) | −44.5652 | + | 19.2642i | −1.72170 | + | 0.744241i | ||||
\(671\) | −41.5624 | + | 24.6601i | −1.60450 | + | 0.951994i | ||||
\(672\) | −11.1682 | + | 2.07463i | −0.430825 | + | 0.0800307i | ||||
\(673\) | 8.02023 | − | 27.3144i | 0.309157 | − | 1.05289i | −0.647594 | − | 0.761986i | \(-0.724225\pi\) |
0.956751 | − | 0.290907i | \(-0.0939571\pi\) | |||||||
\(674\) | −7.19560 | + | 20.2331i | −0.277164 | + | 0.779351i | ||||
\(675\) | 40.5691 | + | 16.8043i | 1.56151 | + | 0.646797i | ||||
\(676\) | −36.5387 | − | 15.3524i | −1.40533 | − | 0.590477i | ||||
\(677\) | −0.899565 | − | 25.1872i | −0.0345731 | − | 0.968024i | −0.891620 | − | 0.452785i | \(-0.850430\pi\) |
0.857047 | − | 0.515239i | \(-0.172297\pi\) | |||||||
\(678\) | 1.34593 | + | 4.95536i | 0.0516902 | + | 0.190309i | ||||
\(679\) | 9.32250 | − | 10.0131i | 0.357765 | − | 0.384266i | ||||
\(680\) | 7.67464 | − | 17.2710i | 0.294309 | − | 0.662314i | ||||
\(681\) | 2.50841 | − | 23.3316i | 0.0961223 | − | 0.894068i | ||||
\(682\) | 0.284551 | + | 0.275967i | 0.0108960 | + | 0.0105673i | ||||
\(683\) | 12.2027 | + | 17.5752i | 0.466921 | + | 0.672495i | 0.982907 | − | 0.184102i | \(-0.0589378\pi\) |
−0.515986 | + | 0.856597i | \(0.672574\pi\) | |||||||
\(684\) | −26.0774 | − | 48.3385i | −0.997094 | − | 1.84827i | ||||
\(685\) | −45.5656 | − | 48.9409i | −1.74097 | − | 1.86994i | ||||
\(686\) | 13.2085 | + | 2.66218i | 0.504303 | + | 0.101642i | ||||
\(687\) | −10.6502 | + | 4.86378i | −0.406330 | + | 0.185565i | ||||
\(688\) | −28.7796 | + | 26.2548i | −1.09721 | + | 1.00095i | ||||
\(689\) | 1.47461 | + | 13.7159i | 0.0561781 | + | 0.522533i | ||||
\(690\) | −54.6259 | − | 42.6573i | −2.07957 | − | 1.62394i | ||||
\(691\) | 14.3931 | − | 1.02941i | 0.547538 | − | 0.0391607i | 0.205170 | − | 0.978726i | \(-0.434225\pi\) |
0.342369 | + | 0.939566i | \(0.388771\pi\) | |||||||
\(692\) | −11.6874 | − | 9.51646i | −0.444287 | − | 0.361761i | ||||
\(693\) | −7.47122 | + | 9.27122i | −0.283808 | + | 0.352185i | ||||
\(694\) | 0.891463 | − | 0.987394i | 0.0338395 | − | 0.0374810i | ||||
\(695\) | −5.34884 | + | 74.7866i | −0.202893 | + | 2.83682i | ||||
\(696\) | 50.6462 | − | 15.4362i | 1.91974 | − | 0.585106i | ||||
\(697\) | 2.24341 | + | 4.48177i | 0.0849754 | + | 0.169759i | ||||
\(698\) | −0.851124 | − | 5.33807i | −0.0322155 | − | 0.202049i | ||||
\(699\) | 39.7592 | + | 23.5902i | 1.50383 | + | 0.892264i | ||||
\(700\) | 8.27756 | + | 6.26227i | 0.312862 | + | 0.236691i | ||||
\(701\) | −8.71820 | − | 13.5658i | −0.329282 | − | 0.512373i | 0.636656 | − | 0.771148i | \(-0.280317\pi\) |
−0.965937 | + | 0.258776i | \(0.916681\pi\) | |||||||
\(702\) | −41.2164 | + | 25.3161i | −1.55561 | + | 0.955494i | ||||
\(703\) | −30.4024 | + | 16.6010i | −1.14665 | + | 0.626117i | ||||
\(704\) | −13.8562 | + | 22.5638i | −0.522225 | + | 0.850403i | ||||
\(705\) | 5.23136 | − | 28.9955i | 0.197024 | − | 1.09203i | ||||
\(706\) | −25.1366 | − | 37.8269i | −0.946028 | − | 1.42363i | ||||
\(707\) | −1.43640 | + | 0.312470i | −0.0540213 | + | 0.0117516i | ||||
\(708\) | 20.1661 | + | 25.2860i | 0.757888 | + | 0.950308i | ||||
\(709\) | 12.8116 | + | 50.1952i | 0.481148 | + | 1.88512i | 0.465117 | + | 0.885249i | \(0.346012\pi\) |
0.0160319 | + | 0.999871i | \(0.494897\pi\) | |||||||
\(710\) | −3.22463 | + | 1.12840i | −0.121018 | + | 0.0423479i | ||||
\(711\) | 45.3156 | 1.69947 | ||||||||
\(712\) | 24.3003 | − | 11.0224i | 0.910693 | − | 0.413083i | ||||
\(713\) | −0.414924 | −0.0155390 | ||||||||
\(714\) | 5.09562 | − | 1.78311i | 0.190699 | − | 0.0667314i | ||||
\(715\) | 16.4817 | + | 64.5746i | 0.616380 | + | 2.41495i | ||||
\(716\) | 16.7878 | − | 13.3885i | 0.627388 | − | 0.500353i | ||||
\(717\) | 70.7909 | − | 15.3996i | 2.64374 | − | 0.575109i | ||||
\(718\) | −22.1778 | − | 33.3744i | −0.827670 | − | 1.24552i | ||||
\(719\) | −5.53565 | + | 30.6821i | −0.206445 | + | 1.14425i | 0.697496 | + | 0.716589i | \(0.254298\pi\) |
−0.903940 | + | 0.427658i | \(0.859339\pi\) | |||||||
\(720\) | 33.7115 | + | 63.2552i | 1.25635 | + | 2.35738i | ||||
\(721\) | −11.3304 | + | 6.18685i | −0.421965 | + | 0.230410i | ||||
\(722\) | 12.0705 | − | 7.41399i | 0.449217 | − | 0.275920i | ||||
\(723\) | 3.28131 | + | 5.10582i | 0.122033 | + | 0.189888i | ||||
\(724\) | −4.41809 | + | 5.83989i | −0.164197 | + | 0.217038i | ||||
\(725\) | −41.6069 | − | 24.6865i | −1.54524 | − | 0.916834i | ||||
\(726\) | −0.0285425 | − | 0.179013i | −0.00105931 | − | 0.00664378i | ||||
\(727\) | −9.19161 | − | 18.3625i | −0.340898 | − | 0.681027i | 0.656406 | − | 0.754408i | \(-0.272076\pi\) |
−0.997304 | + | 0.0733806i | \(0.976621\pi\) | |||||||
\(728\) | −10.9367 | + | 3.33334i | −0.405342 | + | 0.123542i | ||||
\(729\) | 3.01935 | − | 42.2160i | 0.111828 | − | 1.56355i | ||||
\(730\) | 9.49686 | − | 10.5188i | 0.351495 | − | 0.389319i | ||||
\(731\) | 11.6171 | − | 14.4159i | 0.429673 | − | 0.533191i | ||||
\(732\) | −52.4715 | + | 64.4414i | −1.93940 | + | 2.38182i | ||||
\(733\) | 29.3469 | − | 2.09893i | 1.08395 | − | 0.0775258i | 0.482087 | − | 0.876123i | \(-0.339879\pi\) |
0.601865 | + | 0.798598i | \(0.294424\pi\) | |||||||
\(734\) | 14.3943 | + | 11.2405i | 0.531303 | + | 0.414894i | ||||
\(735\) | −6.95210 | − | 64.6640i | −0.256432 | − | 2.38517i | ||||
\(736\) | −6.03147 | − | 27.0523i | −0.222323 | − | 0.997160i | ||||
\(737\) | −29.4060 | + | 13.4293i | −1.08318 | + | 0.494674i | ||||
\(738\) | −18.6333 | − | 3.75555i | −0.685903 | − | 0.138244i | ||||
\(739\) | 23.7412 | + | 25.4998i | 0.873334 | + | 0.938027i | 0.998535 | − | 0.0541045i | \(-0.0172304\pi\) |
−0.125201 | + | 0.992131i | \(0.539958\pi\) | |||||||
\(740\) | 39.7856 | − | 21.4633i | 1.46255 | − | 0.789006i | ||||
\(741\) | −50.0820 | − | 72.1318i | −1.83981 | − | 2.64983i | ||||
\(742\) | 1.72507 | + | 1.67303i | 0.0633295 | + | 0.0614190i | ||||
\(743\) | 0.135449 | − | 1.25986i | 0.00496915 | − | 0.0462199i | −0.991517 | − | 0.129976i | \(-0.958510\pi\) |
0.996486 | + | 0.0837563i | \(0.0266917\pi\) | |||||||
\(744\) | 0.622889 | + | 0.276790i | 0.0228362 | + | 0.0101476i | ||||
\(745\) | −32.0653 | + | 34.4406i | −1.17478 | + | 1.26181i | ||||
\(746\) | −3.54134 | − | 13.0383i | −0.129658 | − | 0.477364i | ||||
\(747\) | 1.16134 | + | 32.5168i | 0.0424912 | + | 1.18973i | ||||
\(748\) | 4.87466 | − | 11.6017i | 0.178235 | − | 0.424199i | ||||
\(749\) | 9.75936 | + | 4.04246i | 0.356599 | + | 0.147708i | ||||
\(750\) | 11.1606 | − | 31.3823i | 0.407528 | − | 1.14592i | ||||
\(751\) | 13.4656 | − | 45.8595i | 0.491366 | − | 1.67344i | −0.223921 | − | 0.974607i | \(-0.571886\pi\) |
0.715286 | − | 0.698831i | \(-0.246296\pi\) | |||||||
\(752\) | 8.98247 | − | 7.62519i | 0.327557 | − | 0.278062i | ||||
\(753\) | 5.66389 | − | 3.36054i | 0.206404 | − | 0.122465i | ||||
\(754\) | 48.9171 | − | 21.1454i | 1.78145 | − | 0.770070i | ||||
\(755\) | 11.1235 | + | 7.72316i | 0.404825 | + | 0.281075i | ||||
\(756\) | −2.70153 | + | 7.98144i | −0.0982535 | + | 0.290282i | ||||
\(757\) | 32.6217 | − | 28.2668i | 1.18566 | − | 1.02738i | 0.186666 | − | 0.982423i | \(-0.440232\pi\) |
0.998989 | − | 0.0449526i | \(-0.0143137\pi\) | |||||||
\(758\) | −6.12157 | − | 12.8787i | −0.222345 | − | 0.467777i | ||||
\(759\) | −36.9440 | − | 27.6559i | −1.34098 | − | 1.00385i | ||||
\(760\) | −45.7740 | + | 27.7967i | −1.66040 | + | 1.00829i | ||||
\(761\) | −13.0979 | − | 4.88526i | −0.474798 | − | 0.177091i | 0.100661 | − | 0.994921i | \(-0.467904\pi\) |
−0.575460 | + | 0.817830i | \(0.695177\pi\) | |||||||
\(762\) | −5.45316 | + | 5.23523i | −0.197547 | + | 0.189652i | ||||
\(763\) | −1.43596 | + | 0.259076i | −0.0519854 | + | 0.00937920i | ||||
\(764\) | 13.4364 | − | 1.86235i | 0.486111 | − | 0.0673773i | ||||
\(765\) | −20.4146 | − | 27.2707i | −0.738092 | − | 0.985975i | ||||
\(766\) | −15.1410 | − | 7.96910i | −0.547068 | − | 0.287935i | ||||
\(767\) | 23.0190 | + | 23.0190i | 0.831168 | + | 0.831168i | ||||
\(768\) | −8.99169 | + | 44.6348i | −0.324460 | + | 1.61062i | ||||
\(769\) | −11.3047 | − | 5.16266i | −0.407656 | − | 0.186170i | 0.201024 | − | 0.979586i | \(-0.435573\pi\) |
−0.608680 | + | 0.793416i | \(0.708301\pi\) | |||||||
\(770\) | 9.39948 | + | 6.81429i | 0.338734 | + | 0.245570i | ||||
\(771\) | −30.1324 | − | 7.69084i | −1.08519 | − | 0.276979i | ||||
\(772\) | −12.1392 | + | 26.2281i | −0.436898 | + | 0.943972i | ||||
\(773\) | 0.406998 | − | 11.3957i | 0.0146387 | − | 0.409874i | −0.970805 | − | 0.239871i | \(-0.922895\pi\) |
0.985444 | − | 0.170003i | \(-0.0543778\pi\) | |||||||
\(774\) | 15.9745 | + | 68.3752i | 0.574191 | + | 2.45770i | ||||
\(775\) | −0.196688 | − | 0.590952i | −0.00706523 | − | 0.0212276i | ||||
\(776\) | −23.2900 | − | 49.6461i | −0.836063 | − | 1.78219i | ||||
\(777\) | 12.2522 | + | 4.07791i | 0.439544 | + | 0.146294i | ||||
\(778\) | −18.7540 | + | 42.7877i | −0.672364 | + | 1.53401i | ||||
\(779\) | 2.02110 | − | 14.0570i | 0.0724133 | − | 0.503645i | ||||
\(780\) | 64.8803 | + | 94.4647i | 2.32309 | + | 3.38238i | ||||
\(781\) | −2.13135 | + | 0.794953i | −0.0762657 | + | 0.0284456i | ||||
\(782\) | 4.79176 | + | 12.2700i | 0.171353 | + | 0.438775i | ||||
\(783\) | 8.34853 | − | 38.3776i | 0.298352 | − | 1.37150i | ||||
\(784\) | 14.2824 | − | 21.7358i | 0.510085 | − | 0.776278i | ||||
\(785\) | −17.7070 | − | 60.3045i | −0.631990 | − | 2.15236i | ||||
\(786\) | 34.8208 | + | 1.95502i | 1.24202 | + | 0.0697331i | ||||
\(787\) | 4.52260 | + | 5.61221i | 0.161213 | + | 0.200054i | 0.852797 | − | 0.522243i | \(-0.174905\pi\) |
−0.691583 | + | 0.722297i | \(0.743086\pi\) | |||||||
\(788\) | 18.5665 | + | 0.0941796i | 0.661404 | + | 0.00335501i | ||||
\(789\) | −25.6392 | + | 10.6201i | −0.912781 | + | 0.378086i | ||||
\(790\) | −2.25303 | − | 44.1269i | −0.0801591 | − | 1.56996i | ||||
\(791\) | 0.790215 | + | 0.431490i | 0.0280968 | + | 0.0153420i | ||||
\(792\) | 23.3006 | + | 41.6521i | 0.827952 | + | 1.48004i | ||||
\(793\) | −45.2215 | + | 70.3660i | −1.60586 | + | 2.49877i | ||||
\(794\) | −5.72931 | + | 6.82027i | −0.203326 | + | 0.242042i | ||||
\(795\) | 10.7817 | − | 21.5390i | 0.382387 | − | 0.763911i | ||||
\(796\) | −37.8928 | + | 34.9223i | −1.34307 | + | 1.23779i | ||||
\(797\) | −7.05888 | − | 49.0956i | −0.250038 | − | 1.73906i | −0.597954 | − | 0.801530i | \(-0.704020\pi\) |
0.347916 | − | 0.937526i | \(-0.386889\pi\) | |||||||
\(798\) | −14.7419 | − | 4.08448i | −0.521859 | − | 0.144589i | ||||
\(799\) | −3.66705 | + | 4.23201i | −0.129731 | + | 0.149718i | ||||
\(800\) | 35.6699 | − | 21.4140i | 1.26112 | − | 0.757098i | ||||
\(801\) | 4.04498 | − | 47.9250i | 0.142922 | − | 1.69335i | ||||
\(802\) | 25.5930 | − | 44.6800i | 0.903722 | − | 1.57771i | ||||
\(803\) | 6.17938 | − | 7.13139i | 0.218066 | − | 0.251661i | ||||
\(804\) | −39.5060 | + | 39.1073i | −1.39327 | + | 1.37921i | ||||
\(805\) | −12.0287 | + | 1.72947i | −0.423958 | + | 0.0609559i | ||||
\(806\) | 0.654198 | + | 0.206666i | 0.0230432 | + | 0.00727949i | ||||
\(807\) | −10.8828 | + | 21.7412i | −0.383094 | + | 0.765325i | ||||
\(808\) | −0.986735 | + | 5.80896i | −0.0347132 | + | 0.204358i | ||||
\(809\) | 7.53646 | + | 4.84339i | 0.264968 | + | 0.170284i | 0.666378 | − | 0.745614i | \(-0.267844\pi\) |
−0.401411 | + | 0.915898i | \(0.631480\pi\) | |||||||
\(810\) | 8.43058 | + | 0.171891i | 0.296220 | + | 0.00603965i | ||||
\(811\) | −29.8937 | − | 16.3232i | −1.04971 | − | 0.573186i | −0.140741 | − | 0.990046i | \(-0.544948\pi\) |
−0.908970 | + | 0.416861i | \(0.863130\pi\) | |||||||
\(812\) | 4.19753 | − | 8.28040i | 0.147304 | − | 0.290585i | ||||
\(813\) | 12.0574 | + | 29.1092i | 0.422872 | + | 1.02090i | ||||
\(814\) | 26.1943 | − | 14.8283i | 0.918110 | − | 0.519733i | ||||
\(815\) | 38.5127 | + | 47.7913i | 1.34904 | + | 1.67406i | ||||
\(816\) | 0.991699 | − | 21.6164i | 0.0347164 | − | 0.756727i | ||||
\(817\) | −50.3362 | + | 14.7800i | −1.76104 | + | 0.517088i | ||||
\(818\) | −6.46679 | − | 4.34474i | −0.226106 | − | 0.151910i | ||||
\(819\) | −4.38059 | + | 20.1372i | −0.153070 | + | 0.703652i | ||||
\(820\) | −2.73062 | + | 18.3313i | −0.0953573 | + | 0.640156i | ||||
\(821\) | −2.27208 | − | 6.09169i | −0.0792962 | − | 0.212601i | 0.891252 | − | 0.453508i | \(-0.149828\pi\) |
−0.970548 | + | 0.240907i | \(0.922555\pi\) | |||||||
\(822\) | −68.9808 | − | 33.2182i | −2.40598 | − | 1.15862i | ||||
\(823\) | 1.50352 | − | 10.4572i | 0.0524095 | − | 0.364516i | −0.946692 | − | 0.322139i | \(-0.895598\pi\) |
0.999102 | − | 0.0423765i | \(-0.0134929\pi\) | |||||||
\(824\) | 6.05788 | + | 51.3891i | 0.211036 | + | 1.79023i | ||||
\(825\) | 21.8761 | − | 65.7271i | 0.761628 | − | 2.28832i | ||||
\(826\) | 5.64708 | + | 0.519784i | 0.196487 | + | 0.0180856i | ||||
\(827\) | −8.01250 | − | 24.0737i | −0.278622 | − | 0.837124i | −0.990825 | − | 0.135151i | \(-0.956848\pi\) |
0.712203 | − | 0.701973i | \(-0.247697\pi\) | |||||||
\(828\) | −47.8620 | − | 14.3177i | −1.66332 | − | 0.497573i | ||||
\(829\) | −13.8442 | − | 0.494448i | −0.480830 | − | 0.0171729i | −0.205771 | − | 0.978600i | \(-0.565970\pi\) |
−0.275059 | + | 0.961427i | \(0.588697\pi\) | |||||||
\(830\) | 31.6061 | − | 2.74756i | 1.09706 | − | 0.0953693i | ||||
\(831\) | −9.58726 | − | 2.44700i | −0.332578 | − | 0.0848855i | ||||
\(832\) | −3.96458 | + | 45.6567i | −0.137447 | + | 1.58286i | ||||
\(833\) | −5.13479 | + | 11.2436i | −0.177910 | + | 0.389569i | ||||
\(834\) | 25.4443 | + | 81.9892i | 0.881064 | + | 2.83906i | ||||
\(835\) | −26.2797 | − | 26.2797i | −0.909445 | − | 0.909445i | ||||
\(836\) | −30.0949 | + | 19.1258i | −1.04085 | + | 0.661481i | ||||
\(837\) | 0.404769 | − | 0.303006i | 0.0139909 | − | 0.0104734i | ||||
\(838\) | −28.4899 | − | 36.8674i | −0.984166 | − | 1.27356i | ||||
\(839\) | −6.71659 | + | 1.21181i | −0.231882 | + | 0.0418362i | −0.292258 | − | 0.956340i | \(-0.594407\pi\) |
0.0603755 | + | 0.998176i | \(0.480770\pi\) | |||||||
\(840\) | 19.2114 | + | 5.42791i | 0.662858 | + | 0.187281i | ||||
\(841\) | −4.98723 | + | 13.3713i | −0.171973 | + | 0.461078i | ||||
\(842\) | −28.6658 | + | 0.439013i | −0.987888 | + | 0.0151294i | ||||
\(843\) | 40.1904 | + | 30.0861i | 1.38423 | + | 1.03622i | ||||
\(844\) | 3.52463 | − | 46.0003i | 0.121323 | − | 1.58340i | ||||
\(845\) | 45.6132 | + | 52.6404i | 1.56914 | + | 1.81088i | ||||
\(846\) | −4.09038 | − | 20.8398i | −0.140630 | − | 0.716489i | ||||
\(847\) | −0.0261083 | − | 0.0181273i | −0.000897093 | − | 0.000622863i | ||||
\(848\) | 8.80205 | − | 3.91233i | 0.302264 | − | 0.134350i | ||||
\(849\) | −14.3792 | − | 24.2349i | −0.493494 | − | 0.831740i | ||||
\(850\) | −15.2040 | + | 12.6410i | −0.521494 | + | 0.433584i | ||||
\(851\) | −8.87666 | + | 30.2311i | −0.304288 | + | 1.03631i | ||||
\(852\) | −2.96915 | + | 2.54653i | −0.101721 | + | 0.0872426i | ||||
\(853\) | −5.81812 | + | 14.0462i | −0.199209 | + | 0.480932i | −0.991641 | − | 0.129027i | \(-0.958814\pi\) |
0.792432 | + | 0.609960i | \(0.208814\pi\) | |||||||
\(854\) | 1.77924 | + | 14.4620i | 0.0608843 | + | 0.494879i | ||||
\(855\) | 3.44526 | + | 96.4651i | 0.117825 | + | 3.29904i | ||||
\(856\) | 29.6317 | − | 30.2450i | 1.01279 | − | 1.03375i | ||||
\(857\) | 35.8378 | + | 33.3662i | 1.22420 | + | 1.13977i | 0.985680 | + | 0.168628i | \(0.0539336\pi\) |
0.238516 | + | 0.971139i | \(0.423339\pi\) | |||||||
\(858\) | 44.4737 | + | 62.0055i | 1.51831 | + | 2.11683i | ||||
\(859\) | −0.283216 | + | 2.63430i | −0.00966321 | + | 0.0898810i | −0.998086 | − | 0.0618454i | \(-0.980301\pi\) |
0.988423 | + | 0.151726i | \(0.0484833\pi\) | |||||||
\(860\) | 65.7874 | − | 18.9550i | 2.24333 | − | 0.646359i | ||||
\(861\) | −4.34867 | + | 3.01933i | −0.148202 | + | 0.102899i | ||||
\(862\) | 2.78080 | + | 1.72752i | 0.0947146 | + | 0.0588397i | ||||
\(863\) | −36.2622 | − | 38.9483i | −1.23438 | − | 1.32582i | −0.927387 | − | 0.374103i | \(-0.877951\pi\) |
−0.306991 | − | 0.951712i | \(-0.599322\pi\) | |||||||
\(864\) | 25.6393 | + | 21.9856i | 0.872268 | + | 0.747966i | ||||
\(865\) | 11.0035 | + | 24.0943i | 0.374130 | + | 0.819230i | ||||
\(866\) | 29.8382 | − | 26.6658i | 1.01394 | − | 0.906139i | ||||
\(867\) | −4.07196 | − | 37.8747i | −0.138291 | − | 1.28629i | ||||
\(868\) | 0.110647 | − | 0.0451755i | 0.00375562 | − | 0.00153336i | ||||
\(869\) | −2.09881 | − | 29.3451i | −0.0711971 | − | 0.995466i | ||||
\(870\) | −91.8147 | − | 15.1173i | −3.11281 | − | 0.512524i | ||||
\(871\) | −35.1078 | + | 43.5661i | −1.18958 | + | 1.47618i | ||||
\(872\) | −1.18464 | + | 5.72747i | −0.0401169 | + | 0.193957i | ||||
\(873\) | −98.5904 | − | 7.05132i | −3.33678 | − | 0.238651i | ||||
\(874\) | 8.67586 | − | 36.3028i | 0.293465 | − | 1.22796i | ||||
\(875\) | −2.61415 | − | 5.22240i | −0.0883744 | − | 0.176549i | ||||
\(876\) | 5.74746 | − | 15.1740i | 0.194189 | − | 0.512683i | ||||
\(877\) | −21.7911 | + | 36.7269i | −0.735833 | + | 1.24018i | 0.227997 | + | 0.973662i | \(0.426782\pi\) |
−0.963830 | + | 0.266518i | \(0.914127\pi\) | |||||||
\(878\) | −2.26023 | + | 17.6331i | −0.0762790 | + | 0.595087i | ||||
\(879\) | −32.4043 | − | 50.4220i | −1.09297 | − | 1.70069i | ||||
\(880\) | 39.4010 | − | 24.7603i | 1.32821 | − | 0.834670i | ||||
\(881\) | −7.93109 | − | 14.5247i | −0.267205 | − | 0.489350i | 0.709282 | − | 0.704925i | \(-0.249019\pi\) |
−0.976487 | + | 0.215575i | \(0.930837\pi\) | |||||||
\(882\) | −21.6232 | − | 41.5938i | −0.728090 | − | 1.40054i | ||||
\(883\) | 4.01096 | − | 22.2313i | 0.134980 | − | 0.748142i | −0.842755 | − | 0.538297i | \(-0.819068\pi\) |
0.977735 | − | 0.209845i | \(-0.0672959\pi\) | |||||||
\(884\) | −1.44357 | − | 21.7325i | −0.0485526 | − | 0.730942i | ||||
\(885\) | −12.0824 | − | 55.5421i | −0.406147 | − | 1.86703i | ||||
\(886\) | −12.2806 | + | 30.9817i | −0.412576 | + | 1.04085i | ||||
\(887\) | 4.28788 | + | 16.7998i | 0.143973 | + | 0.564080i | 0.998967 | + | 0.0454426i | \(0.0144698\pi\) |
−0.854994 | + | 0.518638i | \(0.826439\pi\) | |||||||
\(888\) | 33.4926 | − | 39.4619i | 1.12394 | − | 1.32425i | ||||
\(889\) | 1.32546i | 0.0444544i | ||||||||
\(890\) | −46.8690 | − | 1.55611i | −1.57105 | − | 0.0521609i | ||||
\(891\) | 5.61466 | 0.188098 | ||||||||
\(892\) | 5.58371 | − | 30.0745i | 0.186956 | − | 1.00697i | ||||
\(893\) | 15.3744 | − | 3.92408i | 0.514485 | − | 0.131314i | ||||
\(894\) | −19.8537 | + | 50.0869i | −0.664006 | + | 1.67516i | ||||
\(895\) | −36.8751 | + | 8.02170i | −1.23260 | + | 0.268136i | ||||
\(896\) | 4.55377 | + | 6.55733i | 0.152131 | + | 0.219065i | ||||
\(897\) | −78.6041 | − | 14.1817i | −2.62451 | − | 0.473515i | ||||
\(898\) | 33.2337 | − | 17.2770i | 1.10902 | − | 0.576542i | ||||
\(899\) | −0.488922 | + | 0.266971i | −0.0163064 | + | 0.00890400i | ||||
\(900\) | −2.29637 | − | 74.9542i | −0.0765457 | − | 2.49847i | ||||
\(901\) | −3.85114 | + | 2.47498i | −0.128300 | + | 0.0824534i | ||||
\(902\) | −1.56899 | + | 12.2404i | −0.0522415 | + | 0.407560i | ||||
\(903\) | 16.8189 | + | 9.97912i | 0.559698 | + | 0.332084i | ||||
\(904\) | 2.78667 | − | 2.29310i | 0.0926832 | − | 0.0762675i | ||||
\(905\) | 11.5083 | − | 5.76064i | 0.382549 | − | 0.191490i | ||||
\(906\) | 15.0801 | + | 3.60394i | 0.501004 | + | 0.119733i | ||||
\(907\) | −0.264160 | + | 3.69343i | −0.00877128 | + | 0.122638i | −0.999951 | − | 0.00988501i | \(-0.996853\pi\) |
0.991180 | + | 0.132523i | \(0.0423080\pi\) | |||||||
\(908\) | −15.6744 | + | 5.12878i | −0.520174 | + | 0.170205i | ||||
\(909\) | 8.26945 | + | 6.66394i | 0.274280 | + | 0.221029i | ||||
\(910\) | 19.8268 | + | 3.26448i | 0.657252 | + | 0.108217i | ||||
\(911\) | −16.0773 | + | 1.14987i | −0.532663 | + | 0.0380968i | −0.335081 | − | 0.942189i | \(-0.608764\pi\) |
−0.197583 | + | 0.980286i | \(0.563309\pi\) | |||||||
\(912\) | −37.2415 | + | 48.7108i | −1.23319 | + | 1.61298i | ||||
\(913\) | 21.0032 | − | 2.25808i | 0.695104 | − | 0.0747314i | ||||
\(914\) | 30.5082 | + | 34.1377i | 1.00912 | + | 1.12918i | ||||
\(915\) | 132.850 | − | 60.6707i | 4.39189 | − | 2.00571i | ||||
\(916\) | 6.19141 | + | 5.42011i | 0.204570 | + | 0.179086i | ||||
\(917\) | 4.47558 | − | 4.16692i | 0.147797 | − | 0.137604i | ||||
\(918\) | −13.6349 | − | 8.47044i | −0.450019 | − | 0.279566i | ||||
\(919\) | −15.7546 | − | 22.6909i | −0.519695 | − | 0.748503i | 0.471362 | − | 0.881940i | \(-0.343762\pi\) |
−0.991057 | + | 0.133436i | \(0.957399\pi\) | |||||||
\(920\) | −11.5625 | + | 47.3184i | −0.381203 | + | 1.56004i | ||||
\(921\) | 29.5535 | + | 3.17733i | 0.973822 | + | 0.104697i | ||||
\(922\) | −17.2304 | + | 12.3586i | −0.567453 | + | 0.407008i | ||||
\(923\) | −2.68283 | + | 2.88156i | −0.0883064 | + | 0.0948477i | ||||
\(924\) | 12.8629 | + | 3.35265i | 0.423159 | + | 0.110294i | ||||
\(925\) | −47.2643 | + | 1.68805i | −1.55404 | + | 0.0555027i | ||||
\(926\) | 2.74404 | + | 22.3040i | 0.0901746 | + | 0.732956i | ||||
\(927\) | 86.1682 | + | 35.6920i | 2.83014 | + | 1.17228i | ||||
\(928\) | −24.5132 | − | 27.9960i | −0.804685 | − | 0.919015i | ||||
\(929\) | 21.0383 | + | 6.17741i | 0.690245 | + | 0.202674i | 0.607999 | − | 0.793938i | \(-0.291972\pi\) |
0.0822462 | + | 0.996612i | \(0.473791\pi\) | |||||||
\(930\) | −0.765850 | − | 0.921128i | −0.0251132 | − | 0.0302050i | ||||
\(931\) | 30.1218 | − | 17.8721i | 0.987201 | − | 0.585733i | ||||
\(932\) | 3.63701 | − | 32.2873i | 0.119134 | − | 1.05761i | ||||
\(933\) | −21.8608 | + | 31.4856i | −0.715691 | + | 1.03079i | ||||
\(934\) | −6.43191 | − | 32.7695i | −0.210458 | − | 1.07225i | ||||
\(935\) | −16.7143 | + | 14.4830i | −0.546615 | + | 0.473645i | ||||
\(936\) | 68.3313 | + | 46.4134i | 2.23348 | + | 1.51707i | ||||
\(937\) | 3.61043 | − | 4.82297i | 0.117948 | − | 0.157560i | −0.737682 | − | 0.675149i | \(-0.764079\pi\) |
0.855629 | + | 0.517589i | \(0.173170\pi\) | |||||||
\(938\) | 0.149255 | + | 9.74573i | 0.00487334 | + | 0.318209i | ||||
\(939\) | −52.3913 | − | 19.5409i | −1.70973 | − | 0.637694i | ||||
\(940\) | −20.0898 | + | 5.01922i | −0.655258 | + | 0.163709i | ||||
\(941\) | −0.701275 | − | 3.88690i | −0.0228609 | − | 0.126709i | 0.970639 | − | 0.240540i | \(-0.0773244\pi\) |
−0.993500 | + | 0.113830i | \(0.963688\pi\) | |||||||
\(942\) | −44.0020 | − | 56.9410i | −1.43366 | − | 1.85524i | ||||
\(943\) | −7.74114 | − | 10.3410i | −0.252086 | − | 0.336748i | ||||
\(944\) | 10.3804 | − | 20.2222i | 0.337853 | − | 0.658178i | ||||
\(945\) | 10.4714 | − | 10.4714i | 0.340634 | − | 0.340634i | ||||
\(946\) | 43.5381 | − | 13.5115i | 1.41554 | − | 0.439296i | ||||
\(947\) | −16.4976 | − | 7.53422i | −0.536101 | − | 0.244829i | 0.128918 | − | 0.991655i | \(-0.458849\pi\) |
−0.665019 | + | 0.746826i | \(0.731577\pi\) | |||||||
\(948\) | −20.7819 | − | 46.1238i | −0.674966 | − | 1.49803i | ||||
\(949\) | 4.03899 | − | 15.8246i | 0.131111 | − | 0.513688i | ||||
\(950\) | 55.8167 | − | 4.85223i | 1.81093 | − | 0.157427i | ||||
\(951\) | −3.26317 | + | 91.3668i | −0.105816 | + | 2.96277i | ||||
\(952\) | −2.61373 | − | 2.75033i | −0.0847116 | − | 0.0891386i | ||||
\(953\) | 56.6680 | − | 18.8609i | 1.83566 | − | 0.610965i | 0.837766 | − | 0.546029i | \(-0.183861\pi\) |
0.997889 | − | 0.0649358i | \(-0.0206843\pi\) | |||||||
\(954\) | 1.59134 | − | 17.2888i | 0.0515216 | − | 0.559745i | ||||
\(955\) | −22.6197 | − | 7.52855i | −0.731955 | − | 0.243618i | ||||
\(956\) | −30.3058 | − | 40.9148i | −0.980159 | − | 1.32328i | ||||
\(957\) | −61.3271 | − | 8.81751i | −1.98242 | − | 0.285030i | ||||
\(958\) | 27.3117 | + | 13.1522i | 0.882402 | + | 0.424928i | ||||
\(959\) | −12.5780 | + | 4.69134i | −0.406164 | + | 0.151491i | ||||
\(960\) | 48.9232 | − | 63.3219i | 1.57899 | − | 2.04371i | ||||
\(961\) | 30.2845 | + | 6.58800i | 0.976921 | + | 0.212516i | ||||
\(962\) | 29.0531 | − | 43.2433i | 0.936711 | − | 1.39422i | ||||
\(963\) | −21.5014 | − | 73.2270i | −0.692873 | − | 2.35971i | ||||
\(964\) | 2.32432 | − | 3.57668i | 0.0748611 | − | 0.115197i | ||||
\(965\) | 39.5492 | − | 31.8707i | 1.27313 | − | 1.02595i | ||||
\(966\) | −12.1086 | + | 6.85454i | −0.389587 | + | 0.220541i | ||||
\(967\) | 10.2350 | − | 4.23949i | 0.329136 | − | 0.136333i | −0.211995 | − | 0.977271i | \(-0.567996\pi\) |
0.541131 | + | 0.840938i | \(0.317996\pi\) | |||||||
\(968\) | −0.106466 | + | 0.0699722i | −0.00342193 | + | 0.00224899i | ||||
\(969\) | 13.9658 | − | 25.5764i | 0.448646 | − | 0.821633i | ||||
\(970\) | −1.96458 | + | 96.3548i | −0.0630789 | + | 3.09377i | ||||
\(971\) | 3.99296 | − | 6.21317i | 0.128140 | − | 0.199390i | −0.771255 | − | 0.636526i | \(-0.780371\pi\) |
0.899395 | + | 0.437136i | \(0.144007\pi\) | |||||||
\(972\) | −24.5651 | + | 9.02062i | −0.787925 | + | 0.289337i | ||||
\(973\) | 13.4601 | + | 6.73765i | 0.431512 | + | 0.215999i | ||||
\(974\) | −41.7254 | − | 13.1813i | −1.33697 | − | 0.422357i | ||||
\(975\) | −17.0627 | − | 118.674i | −0.546445 | − | 3.80061i | ||||
\(976\) | 56.4413 | + | 15.0173i | 1.80664 | + | 0.480692i | ||||
\(977\) | −35.7624 | − | 30.9883i | −1.14414 | − | 0.991402i | −0.999998 | − | 0.00184515i | \(-0.999413\pi\) |
−0.144141 | − | 0.989557i | \(-0.546042\pi\) | |||||||
\(978\) | 60.9798 | + | 34.9297i | 1.94992 | + | 1.11693i | ||||
\(979\) | −31.2223 | − | 0.399757i | −0.997869 | − | 0.0127763i | ||||
\(980\) | −39.4277 | + | 23.1239i | −1.25947 | + | 0.738667i | ||||
\(981\) | 7.96711 | + | 6.90354i | 0.254370 | + | 0.220413i | ||||
\(982\) | 7.90236 | + | 2.18947i | 0.252175 | + | 0.0698689i | ||||
\(983\) | 7.19581 | − | 1.03460i | 0.229511 | − | 0.0329987i | −0.0265998 | − | 0.999646i | \(-0.508468\pi\) |
0.256111 | + | 0.966647i | \(0.417559\pi\) | |||||||
\(984\) | 4.72280 | + | 20.6880i | 0.150557 | + | 0.659509i | ||||
\(985\) | −29.1788 | − | 14.6059i | −0.929714 | − | 0.465382i | ||||
\(986\) | 13.5411 | + | 11.3751i | 0.431238 | + | 0.362258i | ||||
\(987\) | −4.97603 | − | 3.19790i | −0.158389 | − | 0.101790i | ||||
\(988\) | −31.7607 | + | 52.9164i | −1.01044 | + | 1.68349i | ||||
\(989\) | −22.8686 | + | 41.8807i | −0.727180 | + | 1.33173i | ||||
\(990\) | −4.27703 | − | 83.7681i | −0.135933 | − | 2.66233i | ||||
\(991\) | −21.8926 | − | 52.8534i | −0.695441 | − | 1.67894i | −0.733519 | − | 0.679669i | \(-0.762123\pi\) |
0.0380771 | − | 0.999275i | \(-0.487877\pi\) | |||||||
\(992\) | −0.00247604 | − | 0.479042i | −7.86143e−5 | − | 0.0152096i | ||||
\(993\) | −11.2001 | + | 9.02564i | −0.355425 | + | 0.286420i | ||||
\(994\) | −0.0384469 | + | 0.684779i | −0.00121946 | + | 0.0217199i | ||||
\(995\) | 86.8948 | − | 25.5146i | 2.75475 | − | 0.808868i | ||||
\(996\) | 32.5641 | − | 16.0944i | 1.03183 | − | 0.509970i | ||||
\(997\) | 51.2526 | + | 11.1493i | 1.62319 | + | 0.353103i | 0.929973 | − | 0.367628i | \(-0.119830\pi\) |
0.693215 | + | 0.720731i | \(0.256194\pi\) | |||||||
\(998\) | −13.9847 | − | 35.8098i | −0.442677 | − | 1.13354i | ||||
\(999\) | −13.4175 | − | 35.9736i | −0.424510 | − | 1.13816i |
(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 | 712.2.bf.c.171.53 | yes | 3440 | |
8.3 | odd | 2 | inner | 712.2.bf.c.171.6 | ✓ | 3440 | |
89.38 | odd | 88 | inner | 712.2.bf.c.483.6 | yes | 3440 | |
712.483 | even | 88 | inner | 712.2.bf.c.483.53 | yes | 3440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
712.2.bf.c.171.6 | ✓ | 3440 | 8.3 | odd | 2 | inner | |
712.2.bf.c.171.53 | yes | 3440 | 1.1 | even | 1 | trivial | |
712.2.bf.c.483.6 | yes | 3440 | 89.38 | odd | 88 | inner | |
712.2.bf.c.483.53 | yes | 3440 | 712.483 | even | 88 | inner |