Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,2,Mod(14,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([15, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 171 = 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 171.x (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.36544187456\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 110.7 | ||
Character | \(\chi\) | \(=\) | 171.110 |
Dual form | 171.2.x.a.14.7 |
$q$-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 \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(154\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.788568 | + | 0.661687i | −0.557602 | + | 0.467884i | −0.877506 | − | 0.479567i | \(-0.840794\pi\) |
0.319904 | + | 0.947450i | \(0.396349\pi\) | |||||||
\(3\) | −0.897794 | − | 1.48120i | −0.518342 | − | 0.855174i | ||||
\(4\) | −0.163287 | + | 0.926044i | −0.0816433 | + | 0.463022i | ||||
\(5\) | 0.446483 | − | 1.22670i | 0.199673 | − | 0.548597i | −0.798931 | − | 0.601423i | \(-0.794601\pi\) |
0.998604 | + | 0.0528259i | \(0.0168228\pi\) | |||||||
\(6\) | 1.68807 | + | 0.573972i | 0.689150 | + | 0.234323i | ||||
\(7\) | −0.947545 | − | 1.64120i | −0.358138 | − | 0.620314i | 0.629511 | − | 0.776991i | \(-0.283255\pi\) |
−0.987650 | + | 0.156677i | \(0.949922\pi\) | |||||||
\(8\) | −1.51339 | − | 2.62127i | −0.535065 | − | 0.926759i | ||||
\(9\) | −1.38793 | + | 2.65963i | −0.462644 | + | 0.886544i | ||||
\(10\) | 0.459610 | + | 1.26277i | 0.145342 | + | 0.399323i | ||||
\(11\) | − | 5.09241i | − | 1.53542i | −0.640799 | − | 0.767709i | \(-0.721397\pi\) | ||
0.640799 | − | 0.767709i | \(-0.278603\pi\) | |||||||
\(12\) | 1.51826 | − | 0.589536i | 0.438284 | − | 0.170185i | ||||
\(13\) | 0.188944 | + | 0.519120i | 0.0524037 | + | 0.143978i | 0.963133 | − | 0.269026i | \(-0.0867018\pi\) |
−0.910729 | + | 0.413004i | \(0.864480\pi\) | |||||||
\(14\) | 1.83316 | + | 0.667217i | 0.489933 | + | 0.178321i | ||||
\(15\) | −2.21784 | + | 0.439993i | −0.572645 | + | 0.113606i | ||||
\(16\) | 1.16063 | + | 0.422436i | 0.290158 | + | 0.105609i | ||||
\(17\) | 1.79639 | − | 4.93555i | 0.435689 | − | 1.19705i | −0.506580 | − | 0.862193i | \(-0.669091\pi\) |
0.942270 | − | 0.334854i | \(-0.108687\pi\) | |||||||
\(18\) | −0.665367 | − | 3.01568i | −0.156828 | − | 0.710802i | ||||
\(19\) | −1.28875 | − | 4.16403i | −0.295660 | − | 0.955293i | ||||
\(20\) | 1.06307 | + | 0.613766i | 0.237711 | + | 0.137242i | ||||
\(21\) | −1.58025 | + | 2.87696i | −0.344838 | + | 0.627805i | ||||
\(22\) | 3.36958 | + | 4.01571i | 0.718397 | + | 0.856152i | ||||
\(23\) | −4.43591 | − | 0.782171i | −0.924952 | − | 0.163094i | −0.309167 | − | 0.951008i | \(-0.600050\pi\) |
−0.615785 | + | 0.787914i | \(0.711161\pi\) | |||||||
\(24\) | −2.52392 | + | 4.59500i | −0.515194 | + | 0.937951i | ||||
\(25\) | 2.52477 | + | 2.11854i | 0.504955 | + | 0.423707i | ||||
\(26\) | −0.492490 | − | 0.284339i | −0.0965853 | − | 0.0557635i | ||||
\(27\) | 5.18554 | − | 0.331993i | 0.997957 | − | 0.0638920i | ||||
\(28\) | 1.67454 | − | 0.609484i | 0.316459 | − | 0.115182i | ||||
\(29\) | −0.744354 | + | 4.22144i | −0.138223 | + | 0.783902i | 0.834338 | + | 0.551253i | \(0.185850\pi\) |
−0.972561 | + | 0.232648i | \(0.925261\pi\) | |||||||
\(30\) | 1.45778 | − | 1.81448i | 0.266154 | − | 0.331278i | ||||
\(31\) | 9.56154i | 1.71730i | 0.512560 | + | 0.858651i | \(0.328697\pi\) | ||||
−0.512560 | + | 0.858651i | \(0.671303\pi\) | |||||||
\(32\) | 4.49373 | − | 1.63559i | 0.794388 | − | 0.289133i | ||||
\(33\) | −7.54289 | + | 4.57193i | −1.31305 | + | 0.795871i | ||||
\(34\) | 1.84921 | + | 5.08067i | 0.317137 | + | 0.871328i | ||||
\(35\) | −2.43632 | + | 0.429589i | −0.411813 | + | 0.0726138i | ||||
\(36\) | −2.23631 | − | 1.71957i | −0.372718 | − | 0.286595i | ||||
\(37\) | − | 0.822439i | − | 0.135208i | −0.997712 | − | 0.0676041i | \(-0.978465\pi\) | ||
0.997712 | − | 0.0676041i | \(-0.0215355\pi\) | |||||||
\(38\) | 3.77155 | + | 2.43087i | 0.611827 | + | 0.394339i | ||||
\(39\) | 0.599289 | − | 0.745928i | 0.0959631 | − | 0.119444i | ||||
\(40\) | −3.89122 | + | 0.686127i | −0.615256 | + | 0.108486i | ||||
\(41\) | −4.69226 | + | 3.93727i | −0.732808 | + | 0.614899i | −0.930896 | − | 0.365285i | \(-0.880971\pi\) |
0.198088 | + | 0.980184i | \(0.436527\pi\) | |||||||
\(42\) | −0.657519 | − | 3.31431i | −0.101457 | − | 0.511409i | ||||
\(43\) | −0.620272 | − | 3.51774i | −0.0945906 | − | 0.536450i | −0.994872 | − | 0.101142i | \(-0.967750\pi\) |
0.900281 | − | 0.435308i | \(-0.143361\pi\) | |||||||
\(44\) | 4.71579 | + | 0.831522i | 0.710933 | + | 0.125357i | ||||
\(45\) | 2.64289 | + | 2.89006i | 0.393978 | + | 0.430824i | ||||
\(46\) | 4.01557 | − | 2.31839i | 0.592064 | − | 0.341828i | ||||
\(47\) | 6.74036 | + | 1.18851i | 0.983182 | + | 0.173362i | 0.642057 | − | 0.766657i | \(-0.278081\pi\) |
0.341125 | + | 0.940018i | \(0.389192\pi\) | |||||||
\(48\) | −0.416295 | − | 2.09839i | −0.0600871 | − | 0.302877i | ||||
\(49\) | 1.70432 | − | 2.95196i | 0.243474 | − | 0.421709i | ||||
\(50\) | −3.39277 | −0.479810 | ||||||||
\(51\) | −8.92335 | + | 1.77028i | −1.24952 | + | 0.247889i | ||||
\(52\) | −0.511580 | + | 0.0902054i | −0.0709434 | + | 0.0125092i | ||||
\(53\) | −3.87285 | − | 3.24971i | −0.531977 | − | 0.446382i | 0.336806 | − | 0.941574i | \(-0.390653\pi\) |
−0.868783 | + | 0.495192i | \(0.835098\pi\) | |||||||
\(54\) | −3.86947 | + | 3.69300i | −0.526569 | + | 0.502554i | ||||
\(55\) | −6.24686 | − | 2.27367i | −0.842326 | − | 0.306582i | ||||
\(56\) | −2.86801 | + | 4.96755i | −0.383255 | + | 0.663816i | ||||
\(57\) | −5.01074 | + | 5.64734i | −0.663689 | + | 0.748009i | ||||
\(58\) | −2.20630 | − | 3.82142i | −0.289701 | − | 0.501778i | ||||
\(59\) | 1.14034 | + | 6.46720i | 0.148460 | + | 0.841958i | 0.964524 | + | 0.263996i | \(0.0850406\pi\) |
−0.816064 | + | 0.577962i | \(0.803848\pi\) | |||||||
\(60\) | −0.0453088 | − | 2.12567i | −0.00584934 | − | 0.274422i | ||||
\(61\) | 2.20421 | − | 0.802266i | 0.282220 | − | 0.102720i | −0.197032 | − | 0.980397i | \(-0.563130\pi\) |
0.479252 | + | 0.877677i | \(0.340908\pi\) | |||||||
\(62\) | −6.32675 | − | 7.53992i | −0.803498 | − | 0.957571i | ||||
\(63\) | 5.68011 | − | 0.242254i | 0.715626 | − | 0.0305211i | ||||
\(64\) | −3.69649 | + | 6.40251i | −0.462061 | + | 0.800313i | ||||
\(65\) | 0.721165 | 0.0894495 | ||||||||
\(66\) | 2.92290 | − | 8.59632i | 0.359784 | − | 1.05813i | ||||
\(67\) | 10.0012 | − | 11.9190i | 1.22184 | − | 1.45613i | 0.372713 | − | 0.927947i | \(-0.378428\pi\) |
0.849128 | − | 0.528187i | \(-0.177128\pi\) | |||||||
\(68\) | 4.27721 | + | 2.46945i | 0.518688 | + | 0.299465i | ||||
\(69\) | 2.82398 | + | 7.27272i | 0.339968 | + | 0.875533i | ||||
\(70\) | 1.63695 | − | 1.95084i | 0.195653 | − | 0.233170i | ||||
\(71\) | 0.276935 | − | 0.232376i | 0.0328661 | − | 0.0275780i | −0.626207 | − | 0.779657i | \(-0.715393\pi\) |
0.659073 | + | 0.752079i | \(0.270949\pi\) | |||||||
\(72\) | 9.07210 | − | 0.386921i | 1.06916 | − | 0.0455991i | ||||
\(73\) | 0.920520 | + | 5.22053i | 0.107739 | + | 0.611017i | 0.990091 | + | 0.140427i | \(0.0448476\pi\) |
−0.882352 | + | 0.470589i | \(0.844041\pi\) | |||||||
\(74\) | 0.544197 | + | 0.648549i | 0.0632617 | + | 0.0753923i | ||||
\(75\) | 0.871259 | − | 5.64172i | 0.100604 | − | 0.651449i | ||||
\(76\) | 4.06651 | − | 0.513512i | 0.466461 | − | 0.0589039i | ||||
\(77\) | −8.35764 | + | 4.82529i | −0.952441 | + | 0.549892i | ||||
\(78\) | 0.0209902 | + | 0.984757i | 0.00237667 | + | 0.111502i | ||||
\(79\) | 4.77547 | − | 13.1205i | 0.537282 | − | 1.47617i | −0.312954 | − | 0.949768i | \(-0.601318\pi\) |
0.850236 | − | 0.526402i | \(-0.176459\pi\) | |||||||
\(80\) | 1.03640 | − | 1.23514i | 0.115873 | − | 0.138093i | ||||
\(81\) | −5.14729 | − | 7.38278i | −0.571921 | − | 0.820308i | ||||
\(82\) | 1.09492 | − | 6.20962i | 0.120914 | − | 0.685738i | ||||
\(83\) | 6.96872 | − | 4.02339i | 0.764917 | − | 0.441625i | −0.0661417 | − | 0.997810i | \(-0.521069\pi\) |
0.831058 | + | 0.556185i | \(0.187736\pi\) | |||||||
\(84\) | −2.40616 | − | 1.93315i | −0.262534 | − | 0.210924i | ||||
\(85\) | −5.25239 | − | 4.40727i | −0.569701 | − | 0.478036i | ||||
\(86\) | 2.81677 | + | 2.36355i | 0.303740 | + | 0.254868i | ||||
\(87\) | 6.92109 | − | 2.68744i | 0.742019 | − | 0.288124i | ||||
\(88\) | −13.3486 | + | 7.70681i | −1.42296 | + | 0.821548i | ||||
\(89\) | −0.457076 | + | 2.59221i | −0.0484500 | + | 0.274773i | −0.999403 | − | 0.0345634i | \(-0.988996\pi\) |
0.950953 | + | 0.309337i | \(0.100107\pi\) | |||||||
\(90\) | −3.99641 | − | 0.530242i | −0.421258 | − | 0.0558924i | ||||
\(91\) | 0.672944 | − | 0.801984i | 0.0705437 | − | 0.0840708i | ||||
\(92\) | 1.44865 | − | 3.98014i | 0.151032 | − | 0.414958i | ||||
\(93\) | 14.1626 | − | 8.58429i | 1.46859 | − | 0.890149i | ||||
\(94\) | −6.10165 | + | 3.52279i | −0.629337 | + | 0.363348i | ||||
\(95\) | −5.68342 | − | 0.278252i | −0.583107 | − | 0.0285480i | ||||
\(96\) | −6.45709 | − | 5.18772i | −0.659023 | − | 0.529469i | ||||
\(97\) | 1.47879 | + | 1.76235i | 0.150148 | + | 0.178939i | 0.835876 | − | 0.548919i | \(-0.184960\pi\) |
−0.685728 | + | 0.727858i | \(0.740516\pi\) | |||||||
\(98\) | 0.609306 | + | 3.45555i | 0.0615492 | + | 0.349063i | ||||
\(99\) | 13.5439 | + | 7.06791i | 1.36122 | + | 0.710352i | ||||
\(100\) | −2.37412 | + | 1.99212i | −0.237412 | + | 0.199212i | ||||
\(101\) | 5.31701 | − | 6.33656i | 0.529062 | − | 0.630512i | −0.433637 | − | 0.901088i | \(-0.642770\pi\) |
0.962699 | + | 0.270576i | \(0.0872143\pi\) | |||||||
\(102\) | 5.86530 | − | 7.30046i | 0.580751 | − | 0.722853i | ||||
\(103\) | −12.1267 | − | 7.00135i | −1.19488 | − | 0.689864i | −0.235470 | − | 0.971882i | \(-0.575663\pi\) |
−0.959409 | + | 0.282018i | \(0.908996\pi\) | |||||||
\(104\) | 1.07481 | − | 1.28091i | 0.105394 | − | 0.125603i | ||||
\(105\) | 2.82362 | + | 3.22300i | 0.275557 | + | 0.314533i | ||||
\(106\) | 5.20430 | 0.505486 | ||||||||
\(107\) | −1.26663 | + | 2.19386i | −0.122449 | + | 0.212089i | −0.920733 | − | 0.390193i | \(-0.872408\pi\) |
0.798284 | + | 0.602282i | \(0.205742\pi\) | |||||||
\(108\) | −0.539289 | + | 4.85625i | −0.0518931 | + | 0.467293i | ||||
\(109\) | 7.35992 | + | 8.77121i | 0.704953 | + | 0.840130i | 0.993077 | − | 0.117463i | \(-0.0374761\pi\) |
−0.288124 | + | 0.957593i | \(0.593032\pi\) | |||||||
\(110\) | 6.43053 | − | 2.34052i | 0.613127 | − | 0.223160i | ||||
\(111\) | −1.21820 | + | 0.738381i | −0.115626 | + | 0.0700840i | ||||
\(112\) | −0.406452 | − | 2.30510i | −0.0384061 | − | 0.217812i | ||||
\(113\) | 3.04325 | + | 5.27107i | 0.286285 | + | 0.495860i | 0.972920 | − | 0.231142i | \(-0.0742463\pi\) |
−0.686635 | + | 0.727002i | \(0.740913\pi\) | |||||||
\(114\) | 0.214534 | − | 7.76886i | 0.0200929 | − | 0.727620i | ||||
\(115\) | −2.94005 | + | 5.09231i | −0.274161 | + | 0.474861i | ||||
\(116\) | −3.78770 | − | 1.37861i | −0.351679 | − | 0.128001i | ||||
\(117\) | −1.64291 | − | 0.217981i | −0.151887 | − | 0.0201523i | ||||
\(118\) | −5.17850 | − | 4.34528i | −0.476720 | − | 0.400015i | ||||
\(119\) | −9.80237 | + | 1.72842i | −0.898582 | + | 0.158444i | ||||
\(120\) | 4.50981 | + | 5.14769i | 0.411687 | + | 0.469918i | ||||
\(121\) | −14.9326 | −1.35751 | ||||||||
\(122\) | −1.20732 | + | 2.09114i | −0.109306 | + | 0.189323i | ||||
\(123\) | 10.0446 | + | 3.41533i | 0.905690 | + | 0.307950i | ||||
\(124\) | −8.85441 | − | 1.56127i | −0.795149 | − | 0.140206i | ||||
\(125\) | 9.37875 | − | 5.41482i | 0.838861 | − | 0.484316i | ||||
\(126\) | −4.31886 | + | 3.94949i | −0.384754 | + | 0.351848i | ||||
\(127\) | −3.06101 | − | 0.539739i | −0.271621 | − | 0.0478941i | 0.0361787 | − | 0.999345i | \(-0.488481\pi\) |
−0.307799 | + | 0.951451i | \(0.599593\pi\) | |||||||
\(128\) | 0.339294 | + | 1.92423i | 0.0299896 | + | 0.170080i | ||||
\(129\) | −4.65361 | + | 4.07695i | −0.409728 | + | 0.358956i | ||||
\(130\) | −0.568688 | + | 0.477186i | −0.0498772 | + | 0.0418519i | ||||
\(131\) | −12.7315 | + | 2.24491i | −1.11236 | + | 0.196139i | −0.699483 | − | 0.714649i | \(-0.746587\pi\) |
−0.412875 | + | 0.910788i | \(0.635475\pi\) | |||||||
\(132\) | −3.00216 | − | 7.73159i | −0.261304 | − | 0.672948i | ||||
\(133\) | −5.61283 | + | 6.06070i | −0.486695 | + | 0.525529i | ||||
\(134\) | 16.0166i | 1.38362i | ||||||||
\(135\) | 1.90800 | − | 6.50933i | 0.164214 | − | 0.560234i | ||||
\(136\) | −15.6561 | + | 2.76059i | −1.34250 | + | 0.236718i | ||||
\(137\) | 2.91352 | + | 8.00484i | 0.248919 | + | 0.683900i | 0.999727 | + | 0.0233786i | \(0.00744232\pi\) |
−0.750808 | + | 0.660521i | \(0.770335\pi\) | |||||||
\(138\) | −7.03917 | − | 3.86645i | −0.599214 | − | 0.329134i | ||||
\(139\) | 2.98108 | − | 1.08503i | 0.252852 | − | 0.0920307i | −0.212484 | − | 0.977164i | \(-0.568155\pi\) |
0.465337 | + | 0.885134i | \(0.345933\pi\) | |||||||
\(140\) | − | 2.32629i | − | 0.196607i | ||||||
\(141\) | −4.29103 | − | 11.0509i | −0.361370 | − | 0.930652i | ||||
\(142\) | −0.0646218 | + | 0.366489i | −0.00542294 | + | 0.0307550i | ||||
\(143\) | 2.64357 | − | 0.962180i | 0.221066 | − | 0.0804616i | ||||
\(144\) | −2.73440 | + | 2.50054i | −0.227867 | + | 0.208379i | ||||
\(145\) | 4.84610 | + | 2.79790i | 0.402447 | + | 0.232353i | ||||
\(146\) | −4.18025 | − | 3.50765i | −0.345960 | − | 0.290295i | ||||
\(147\) | −5.90258 | + | 0.125814i | −0.486837 | + | 0.0103770i | ||||
\(148\) | 0.761615 | + | 0.134293i | 0.0626044 | + | 0.0110388i | ||||
\(149\) | −11.6236 | − | 13.8524i | −0.952240 | − | 1.13483i | −0.990767 | − | 0.135577i | \(-0.956711\pi\) |
0.0385273 | − | 0.999258i | \(-0.487733\pi\) | |||||||
\(150\) | 3.04601 | + | 5.02538i | 0.248705 | + | 0.410320i | ||||
\(151\) | 11.2859 | + | 6.51591i | 0.918432 | + | 0.530257i | 0.883135 | − | 0.469120i | \(-0.155429\pi\) |
0.0352977 | + | 0.999377i | \(0.488762\pi\) | |||||||
\(152\) | −8.96466 | + | 9.67997i | −0.727130 | + | 0.785150i | ||||
\(153\) | 10.6335 | + | 11.6280i | 0.859666 | + | 0.940064i | ||||
\(154\) | 3.39774 | − | 9.33521i | 0.273798 | − | 0.752253i | ||||
\(155\) | 11.7291 | + | 4.26906i | 0.942107 | + | 0.342899i | ||||
\(156\) | 0.592906 | + | 0.676769i | 0.0474705 | + | 0.0541849i | ||||
\(157\) | 20.6617 | + | 7.52026i | 1.64899 | + | 0.600182i | 0.988576 | − | 0.150724i | \(-0.0481603\pi\) |
0.660410 | + | 0.750905i | \(0.270383\pi\) | |||||||
\(158\) | 4.91588 | + | 13.5063i | 0.391086 | + | 1.07450i | ||||
\(159\) | −1.33646 | + | 8.65405i | −0.105988 | + | 0.686311i | ||||
\(160\) | − | 6.24273i | − | 0.493531i | ||||||
\(161\) | 2.91953 | + | 8.02135i | 0.230091 | + | 0.632171i | ||||
\(162\) | 8.94408 | + | 2.41592i | 0.702713 | + | 0.189813i | ||||
\(163\) | 2.41860 | + | 4.18914i | 0.189439 | + | 0.328119i | 0.945063 | − | 0.326887i | \(-0.106000\pi\) |
−0.755624 | + | 0.655006i | \(0.772666\pi\) | |||||||
\(164\) | −2.87991 | − | 4.98815i | −0.224883 | − | 0.389509i | ||||
\(165\) | 2.24062 | + | 11.2942i | 0.174432 | + | 0.879249i | ||||
\(166\) | −2.83308 | + | 7.78383i | −0.219890 | + | 0.604143i | ||||
\(167\) | 0.334515 | − | 1.89713i | 0.0258855 | − | 0.146804i | −0.969126 | − | 0.246567i | \(-0.920697\pi\) |
0.995011 | + | 0.0997631i | \(0.0318085\pi\) | |||||||
\(168\) | 9.93284 | − | 0.211719i | 0.766335 | − | 0.0163345i | ||||
\(169\) | 9.72479 | − | 8.16007i | 0.748061 | − | 0.627698i | ||||
\(170\) | 7.05810 | 0.541332 | ||||||||
\(171\) | 12.8635 | + | 2.35178i | 0.983695 | + | 0.179845i | ||||
\(172\) | 3.35886 | 0.256111 | ||||||||
\(173\) | 0.541085 | − | 0.454024i | 0.0411379 | − | 0.0345188i | −0.621987 | − | 0.783028i | \(-0.713674\pi\) |
0.663125 | + | 0.748509i | \(0.269230\pi\) | |||||||
\(174\) | −3.67951 | + | 6.69883i | −0.278943 | + | 0.507837i | ||||
\(175\) | 1.08460 | − | 6.15106i | 0.0819879 | − | 0.464977i | ||||
\(176\) | 2.15121 | − | 5.91041i | 0.162154 | − | 0.445514i | ||||
\(177\) | 8.55545 | − | 7.49529i | 0.643067 | − | 0.563381i | ||||
\(178\) | −1.35480 | − | 2.34657i | −0.101546 | − | 0.175883i | ||||
\(179\) | −10.1185 | − | 17.5257i | −0.756288 | − | 1.30993i | −0.944731 | − | 0.327846i | \(-0.893677\pi\) |
0.188443 | − | 0.982084i | \(-0.439656\pi\) | |||||||
\(180\) | −3.10787 | + | 1.97552i | −0.231647 | + | 0.147247i | ||||
\(181\) | 4.39983 | + | 12.0884i | 0.327037 | + | 0.898527i | 0.988858 | + | 0.148865i | \(0.0475618\pi\) |
−0.661821 | + | 0.749662i | \(0.730216\pi\) | |||||||
\(182\) | 1.07770i | 0.0798843i | ||||||||
\(183\) | −3.16725 | − | 2.54461i | −0.234130 | − | 0.188103i | ||||
\(184\) | 4.66299 | + | 12.8115i | 0.343760 | + | 0.944474i | ||||
\(185\) | −1.00889 | − | 0.367205i | −0.0741748 | − | 0.0269974i | ||||
\(186\) | −5.48805 | + | 16.1405i | −0.402403 | + | 1.18348i | ||||
\(187\) | −25.1338 | − | 9.14797i | −1.83797 | − | 0.668966i | ||||
\(188\) | −2.20122 | + | 6.04780i | −0.160540 | + | 0.441081i | ||||
\(189\) | −5.45840 | − | 8.19591i | −0.397040 | − | 0.596164i | ||||
\(190\) | 4.66588 | − | 3.54123i | 0.338498 | − | 0.256908i | ||||
\(191\) | 3.19381 | + | 1.84395i | 0.231096 | + | 0.133423i | 0.611078 | − | 0.791571i | \(-0.290736\pi\) |
−0.379982 | + | 0.924994i | \(0.624070\pi\) | |||||||
\(192\) | 12.8021 | − | 0.272878i | 0.923912 | − | 0.0196933i | ||||
\(193\) | −10.9517 | − | 13.0518i | −0.788324 | − | 0.939488i | 0.210953 | − | 0.977496i | \(-0.432343\pi\) |
−0.999277 | + | 0.0380081i | \(0.987899\pi\) | |||||||
\(194\) | −2.33225 | − | 0.411238i | −0.167446 | − | 0.0295252i | ||||
\(195\) | −0.647458 | − | 1.06819i | −0.0463654 | − | 0.0764948i | ||||
\(196\) | 2.45536 | + | 2.06029i | 0.175383 | + | 0.147163i | ||||
\(197\) | 13.7412 | + | 7.93351i | 0.979022 | + | 0.565239i | 0.901975 | − | 0.431789i | \(-0.142117\pi\) |
0.0770476 | + | 0.997027i | \(0.475451\pi\) | |||||||
\(198\) | −15.3571 | + | 3.38832i | −1.09138 | + | 0.240797i | ||||
\(199\) | −16.9852 | + | 6.18211i | −1.20405 | + | 0.438238i | −0.864636 | − | 0.502399i | \(-0.832451\pi\) |
−0.339414 | + | 0.940637i | \(0.610229\pi\) | |||||||
\(200\) | 1.73229 | − | 9.82430i | 0.122491 | − | 0.694683i | ||||
\(201\) | −26.6334 | − | 4.11304i | −1.87858 | − | 0.290112i | ||||
\(202\) | 8.51501i | 0.599114i | ||||||||
\(203\) | 7.63352 | − | 2.77838i | 0.535768 | − | 0.195004i | ||||
\(204\) | −0.182297 | − | 8.55248i | −0.0127633 | − | 0.598794i | ||||
\(205\) | 2.73484 | + | 7.51392i | 0.191010 | + | 0.524795i | ||||
\(206\) | 14.1954 | − | 2.50304i | 0.989043 | − | 0.174395i | ||||
\(207\) | 8.23703 | − | 10.7123i | 0.572513 | − | 0.744557i | ||||
\(208\) | 0.682324i | 0.0473106i | ||||||||
\(209\) | −21.2049 | + | 6.56285i | −1.46677 | + | 0.453962i | ||||
\(210\) | −4.35924 | − | 0.673204i | −0.300816 | − | 0.0464555i | ||||
\(211\) | 26.2753 | − | 4.63304i | 1.80887 | − | 0.318952i | 0.835723 | − | 0.549152i | \(-0.185049\pi\) |
0.973143 | + | 0.230200i | \(0.0739381\pi\) | |||||||
\(212\) | 3.64176 | − | 3.05580i | 0.250117 | − | 0.209873i | ||||
\(213\) | −0.592827 | − | 0.201571i | −0.0406198 | − | 0.0138114i | ||||
\(214\) | −0.452829 | − | 2.56812i | −0.0309548 | − | 0.175553i | ||||
\(215\) | −4.59215 | − | 0.809720i | −0.313182 | − | 0.0552225i | ||||
\(216\) | −8.71799 | − | 13.0903i | −0.593184 | − | 0.890680i | ||||
\(217\) | 15.6924 | − | 9.05999i | 1.06527 | − | 0.615032i | ||||
\(218\) | −11.6076 | − | 2.04673i | −0.786166 | − | 0.138622i | ||||
\(219\) | 6.90623 | − | 6.05044i | 0.466680 | − | 0.408851i | ||||
\(220\) | 3.12555 | − | 5.41361i | 0.210724 | − | 0.364985i | ||||
\(221\) | 2.90156 | 0.195180 | ||||||||
\(222\) | 0.472057 | − | 1.38833i | 0.0316824 | − | 0.0931787i | ||||
\(223\) | −11.3279 | + | 1.99741i | −0.758570 | + | 0.133756i | −0.539538 | − | 0.841961i | \(-0.681401\pi\) |
−0.219032 | + | 0.975718i | \(0.570290\pi\) | |||||||
\(224\) | −6.94233 | − | 5.82531i | −0.463854 | − | 0.389220i | ||||
\(225\) | −9.13875 | + | 3.77459i | −0.609250 | + | 0.251639i | ||||
\(226\) | −5.88761 | − | 2.14291i | −0.391638 | − | 0.142545i | ||||
\(227\) | −10.4898 | + | 18.1688i | −0.696230 | + | 1.20591i | 0.273534 | + | 0.961862i | \(0.411807\pi\) |
−0.969764 | + | 0.244044i | \(0.921526\pi\) | |||||||
\(228\) | −4.41150 | − | 5.56230i | −0.292159 | − | 0.368373i | ||||
\(229\) | 3.77433 | + | 6.53733i | 0.249415 | + | 0.431999i | 0.963364 | − | 0.268199i | \(-0.0864284\pi\) |
−0.713949 | + | 0.700198i | \(0.753095\pi\) | |||||||
\(230\) | −1.05109 | − | 5.96103i | −0.0693068 | − | 0.393059i | ||||
\(231\) | 14.6507 | + | 8.04726i | 0.963943 | + | 0.529471i | ||||
\(232\) | 12.1920 | − | 4.43754i | 0.800447 | − | 0.291339i | ||||
\(233\) | −18.0687 | − | 21.5335i | −1.18372 | − | 1.41070i | −0.890695 | − | 0.454600i | \(-0.849782\pi\) |
−0.293026 | − | 0.956104i | \(-0.594662\pi\) | |||||||
\(234\) | 1.43978 | − | 0.915200i | 0.0941214 | − | 0.0598285i | ||||
\(235\) | 4.46739 | − | 7.73775i | 0.291421 | − | 0.504755i | ||||
\(236\) | −6.17512 | −0.401966 | ||||||||
\(237\) | −23.7215 | + | 4.70606i | −1.54088 | + | 0.305691i | ||||
\(238\) | 6.58616 | − | 7.84909i | 0.426918 | − | 0.508781i | ||||
\(239\) | 23.2383 | + | 13.4166i | 1.50316 | + | 0.867848i | 0.999993 | + | 0.00365777i | \(0.00116431\pi\) |
0.503164 | + | 0.864191i | \(0.332169\pi\) | |||||||
\(240\) | −2.75997 | − | 0.426226i | −0.178155 | − | 0.0275128i | ||||
\(241\) | 3.68705 | − | 4.39406i | 0.237504 | − | 0.283046i | −0.634106 | − | 0.773246i | \(-0.718632\pi\) |
0.871610 | + | 0.490200i | \(0.163076\pi\) | |||||||
\(242\) | 11.7754 | − | 9.88071i | 0.756949 | − | 0.635156i | ||||
\(243\) | −6.31419 | + | 14.2524i | −0.405055 | + | 0.914292i | ||||
\(244\) | 0.383016 | + | 2.17219i | 0.0245201 | + | 0.139060i | ||||
\(245\) | −2.86023 | − | 3.40868i | −0.182733 | − | 0.217773i | ||||
\(246\) | −10.1807 | + | 3.95315i | −0.649099 | + | 0.252044i | ||||
\(247\) | 1.91813 | − | 1.45579i | 0.122047 | − | 0.0926294i | ||||
\(248\) | 25.0634 | − | 14.4703i | 1.59153 | − | 0.918868i | ||||
\(249\) | −12.2159 | − | 6.70992i | −0.774154 | − | 0.425224i | ||||
\(250\) | −3.81286 | + | 10.4758i | −0.241147 | + | 0.662545i | ||||
\(251\) | 2.87033 | − | 3.42072i | 0.181173 | − | 0.215914i | −0.667812 | − | 0.744330i | \(-0.732769\pi\) |
0.848986 | + | 0.528415i | \(0.177214\pi\) | |||||||
\(252\) | −0.703148 | + | 5.29959i | −0.0442941 | + | 0.333843i | ||||
\(253\) | −3.98313 | + | 22.5895i | −0.250418 | + | 1.42019i | ||||
\(254\) | 2.77095 | − | 1.59981i | 0.173865 | − | 0.100381i | ||||
\(255\) | −1.81251 | + | 11.7367i | −0.113504 | + | 0.734979i | ||||
\(256\) | −12.8675 | − | 10.7971i | −0.804218 | − | 0.674819i | ||||
\(257\) | −10.9885 | − | 9.22043i | −0.685442 | − | 0.575154i | 0.232149 | − | 0.972680i | \(-0.425424\pi\) |
−0.917591 | + | 0.397526i | \(0.869869\pi\) | |||||||
\(258\) | 0.972021 | − | 6.29419i | 0.0605154 | − | 0.391859i | ||||
\(259\) | −1.34978 | + | 0.779298i | −0.0838715 | + | 0.0484232i | ||||
\(260\) | −0.117757 | + | 0.667831i | −0.00730295 | + | 0.0414171i | ||||
\(261\) | −10.1944 | − | 7.83878i | −0.631016 | − | 0.485208i | ||||
\(262\) | 8.55425 | − | 10.1946i | 0.528483 | − | 0.629822i | ||||
\(263\) | −3.25822 | + | 8.95187i | −0.200910 | + | 0.551996i | −0.998702 | − | 0.0509370i | \(-0.983779\pi\) |
0.797792 | + | 0.602933i | \(0.206001\pi\) | |||||||
\(264\) | 23.3996 | + | 12.8528i | 1.44015 | + | 0.791038i | ||||
\(265\) | −5.71558 | + | 3.29989i | −0.351105 | + | 0.202711i | ||||
\(266\) | 0.415815 | − | 8.49322i | 0.0254953 | − | 0.520753i | ||||
\(267\) | 4.24995 | − | 1.65025i | 0.260093 | − | 0.100993i | ||||
\(268\) | 9.40443 | + | 11.2078i | 0.574467 | + | 0.684623i | ||||
\(269\) | 1.18735 | + | 6.73379i | 0.0723940 | + | 0.410567i | 0.999371 | + | 0.0354497i | \(0.0112863\pi\) |
−0.926977 | + | 0.375117i | \(0.877603\pi\) | |||||||
\(270\) | 2.80256 | + | 6.39555i | 0.170558 | + | 0.389221i | ||||
\(271\) | 21.5952 | − | 18.1205i | 1.31182 | − | 1.10074i | 0.323843 | − | 0.946111i | \(-0.395025\pi\) |
0.987972 | − | 0.154633i | \(-0.0494195\pi\) | |||||||
\(272\) | 4.16990 | − | 4.96950i | 0.252838 | − | 0.301320i | ||||
\(273\) | −1.79207 | − | 0.276752i | −0.108461 | − | 0.0167498i | ||||
\(274\) | −7.59421 | − | 4.38452i | −0.458783 | − | 0.264879i | ||||
\(275\) | 10.7885 | − | 12.8572i | 0.650568 | − | 0.775317i | ||||
\(276\) | −7.19598 | + | 1.42759i | −0.433147 | + | 0.0859311i | ||||
\(277\) | 2.96624 | 0.178224 | 0.0891120 | − | 0.996022i | \(-0.471597\pi\) | ||||
0.0891120 | + | 0.996022i | \(0.471597\pi\) | |||||||
\(278\) | −1.63284 | + | 2.82816i | −0.0979313 | + | 0.169622i | ||||
\(279\) | −25.4302 | − | 13.2708i | −1.52246 | − | 0.794499i | ||||
\(280\) | 4.81317 | + | 5.73612i | 0.287642 | + | 0.342799i | ||||
\(281\) | 12.7465 | − | 4.63936i | 0.760395 | − | 0.276761i | 0.0674220 | − | 0.997725i | \(-0.478523\pi\) |
0.692973 | + | 0.720963i | \(0.256300\pi\) | |||||||
\(282\) | 10.6960 | + | 5.87505i | 0.636937 | + | 0.349854i | ||||
\(283\) | 1.10490 | + | 6.26623i | 0.0656798 | + | 0.372489i | 0.999876 | + | 0.0157297i | \(0.00500711\pi\) |
−0.934197 | + | 0.356759i | \(0.883882\pi\) | |||||||
\(284\) | 0.169971 | + | 0.294398i | 0.0100859 | + | 0.0174693i | ||||
\(285\) | 4.69039 | + | 8.66812i | 0.277835 | + | 0.513455i | ||||
\(286\) | −1.44797 | + | 2.50796i | −0.0856204 | + | 0.148299i | ||||
\(287\) | 10.9080 | + | 3.97018i | 0.643877 | + | 0.234352i | ||||
\(288\) | −1.88694 | + | 14.2218i | −0.111189 | + | 0.838026i | ||||
\(289\) | −8.10988 | − | 6.80500i | −0.477052 | − | 0.400294i | ||||
\(290\) | −5.67282 | + | 1.00027i | −0.333119 | + | 0.0587379i | ||||
\(291\) | 1.28275 | − | 3.77261i | 0.0751963 | − | 0.221154i | ||||
\(292\) | −4.98475 | −0.291710 | ||||||||
\(293\) | 6.15574 | − | 10.6621i | 0.359622 | − | 0.622884i | −0.628275 | − | 0.777991i | \(-0.716239\pi\) |
0.987898 | + | 0.155107i | \(0.0495722\pi\) | |||||||
\(294\) | 4.57134 | − | 4.00488i | 0.266606 | − | 0.233569i | ||||
\(295\) | 8.44246 | + | 1.48863i | 0.491539 | + | 0.0866716i | ||||
\(296\) | −2.15584 | + | 1.24467i | −0.125305 | + | 0.0723451i | ||||
\(297\) | −1.69064 | − | 26.4069i | −0.0981010 | − | 1.53228i | ||||
\(298\) | 18.3319 | + | 3.23242i | 1.06194 | + | 0.187249i | ||||
\(299\) | −0.432099 | − | 2.45056i | −0.0249890 | − | 0.141719i | ||||
\(300\) | 5.08222 | + | 1.72804i | 0.293422 | + | 0.0997685i | ||||
\(301\) | −5.18556 | + | 4.35121i | −0.298891 | + | 0.250799i | ||||
\(302\) | −13.2112 | + | 2.32949i | −0.760218 | + | 0.134047i | ||||
\(303\) | −14.1593 | − | 2.18664i | −0.813432 | − | 0.125619i | ||||
\(304\) | 0.263265 | − | 5.37732i | 0.0150993 | − | 0.308410i | ||||
\(305\) | − | 3.06210i | − | 0.175335i | ||||||
\(306\) | −16.0793 | − | 2.13340i | −0.919192 | − | 0.121958i | ||||
\(307\) | 4.09615 | − | 0.722262i | 0.233780 | − | 0.0412217i | −0.0555308 | − | 0.998457i | \(-0.517685\pi\) |
0.289310 | + | 0.957235i | \(0.406574\pi\) | |||||||
\(308\) | −3.10374 | − | 8.52745i | −0.176852 | − | 0.485897i | ||||
\(309\) | 0.516846 | + | 24.2479i | 0.0294023 | + | 1.37941i | ||||
\(310\) | −12.0740 | + | 4.39458i | −0.685758 | + | 0.249595i | ||||
\(311\) | 15.4430i | 0.875692i | 0.899050 | + | 0.437846i | \(0.144259\pi\) | ||||
−0.899050 | + | 0.437846i | \(0.855741\pi\) | |||||||
\(312\) | −2.86224 | − | 0.442020i | −0.162042 | − | 0.0250244i | ||||
\(313\) | 1.18388 | − | 6.71411i | 0.0669168 | − | 0.379504i | −0.932896 | − | 0.360146i | \(-0.882727\pi\) |
0.999813 | − | 0.0193578i | \(-0.00616215\pi\) | |||||||
\(314\) | −21.2692 | + | 7.74137i | −1.20029 | + | 0.436871i | ||||
\(315\) | 2.23890 | − | 7.07595i | 0.126147 | − | 0.398685i | ||||
\(316\) | 11.3704 | + | 6.56470i | 0.639634 | + | 0.369293i | ||||
\(317\) | −7.21033 | − | 6.05018i | −0.404972 | − | 0.339812i | 0.417439 | − | 0.908705i | \(-0.362928\pi\) |
−0.822412 | + | 0.568893i | \(0.807372\pi\) | |||||||
\(318\) | −4.67239 | − | 7.70863i | −0.262014 | − | 0.432278i | ||||
\(319\) | 21.4973 | + | 3.79055i | 1.20362 | + | 0.212230i | ||||
\(320\) | 6.20354 | + | 7.39309i | 0.346788 | + | 0.413286i | ||||
\(321\) | 4.38673 | − | 0.0935035i | 0.244843 | − | 0.00521886i | ||||
\(322\) | −7.60988 | − | 4.39356i | −0.424082 | − | 0.244844i | ||||
\(323\) | −22.8669 | − | 1.11953i | −1.27235 | − | 0.0622922i | ||||
\(324\) | 7.67726 | − | 3.56111i | 0.426515 | − | 0.197840i | ||||
\(325\) | −0.622733 | + | 1.71095i | −0.0345430 | + | 0.0949062i | ||||
\(326\) | −4.67913 | − | 1.70307i | −0.259153 | − | 0.0943240i | ||||
\(327\) | 6.38426 | − | 18.7763i | 0.353051 | − | 1.03833i | ||||
\(328\) | 17.4219 | + | 6.34105i | 0.961963 | + | 0.350126i | ||||
\(329\) | −4.43622 | − | 12.1884i | −0.244577 | − | 0.671969i | ||||
\(330\) | −9.24008 | − | 7.42362i | −0.508650 | − | 0.408657i | ||||
\(331\) | 34.6632i | 1.90526i | 0.304130 | + | 0.952631i | \(0.401634\pi\) | ||||
−0.304130 | + | 0.952631i | \(0.598366\pi\) | |||||||
\(332\) | 2.58794 | + | 7.11031i | 0.142032 | + | 0.390229i | ||||
\(333\) | 2.18739 | + | 1.14149i | 0.119868 | + | 0.0625532i | ||||
\(334\) | 0.991518 | + | 1.71736i | 0.0542534 | + | 0.0939697i | ||||
\(335\) | −10.1556 | − | 17.5901i | −0.554862 | − | 0.961049i | ||||
\(336\) | −3.04942 | + | 2.67155i | −0.166359 | + | 0.145745i | ||||
\(337\) | −0.256198 | + | 0.703897i | −0.0139560 | + | 0.0383437i | −0.946475 | − | 0.322777i | \(-0.895384\pi\) |
0.932519 | + | 0.361121i | \(0.117606\pi\) | |||||||
\(338\) | −2.26925 | + | 12.8695i | −0.123431 | + | 0.700011i | ||||
\(339\) | 5.07531 | − | 9.24001i | 0.275653 | − | 0.501848i | ||||
\(340\) | 4.93898 | − | 4.14429i | 0.267854 | − | 0.224756i | ||||
\(341\) | 48.6912 | 2.63678 | ||||||||
\(342\) | −11.6999 | + | 6.65707i | −0.632657 | + | 0.359973i | ||||
\(343\) | −19.7253 | −1.06507 | ||||||||
\(344\) | −8.28223 | + | 6.94962i | −0.446548 | + | 0.374698i | ||||
\(345\) | 10.1823 | − | 0.217037i | 0.548197 | − | 0.0116849i | ||||
\(346\) | −0.126260 | + | 0.716058i | −0.00678780 | + | 0.0384955i | ||||
\(347\) | 4.90061 | − | 13.4643i | 0.263078 | − | 0.722802i | −0.735878 | − | 0.677115i | \(-0.763230\pi\) |
0.998956 | − | 0.0456870i | \(-0.0145477\pi\) | |||||||
\(348\) | 1.35857 | + | 6.84806i | 0.0728271 | + | 0.367095i | ||||
\(349\) | −0.0568119 | − | 0.0984011i | −0.00304107 | − | 0.00526729i | 0.864501 | − | 0.502631i | \(-0.167635\pi\) |
−0.867542 | + | 0.497364i | \(0.834301\pi\) | |||||||
\(350\) | 3.21480 | + | 5.56820i | 0.171838 | + | 0.297633i | ||||
\(351\) | 1.15212 | + | 2.62919i | 0.0614957 | + | 0.140336i | ||||
\(352\) | −8.32907 | − | 22.8839i | −0.443941 | − | 1.21972i | ||||
\(353\) | 4.23792i | 0.225562i | 0.993620 | + | 0.112781i | \(0.0359758\pi\) | ||||
−0.993620 | + | 0.112781i | \(0.964024\pi\) | |||||||
\(354\) | −1.78702 | + | 11.5716i | −0.0949789 | + | 0.615023i | ||||
\(355\) | −0.161409 | − | 0.443468i | −0.00856671 | − | 0.0235368i | ||||
\(356\) | −2.32587 | − | 0.846546i | −0.123271 | − | 0.0448668i | ||||
\(357\) | 11.3607 | + | 12.9675i | 0.601270 | + | 0.686315i | ||||
\(358\) | 19.5756 | + | 7.12494i | 1.03460 | + | 0.376565i | ||||
\(359\) | −11.5267 | + | 31.6692i | −0.608354 | + | 1.67144i | 0.125470 | + | 0.992097i | \(0.459956\pi\) |
−0.733824 | + | 0.679340i | \(0.762266\pi\) | |||||||
\(360\) | 3.57590 | − | 11.3015i | 0.188466 | − | 0.595642i | ||||
\(361\) | −15.6782 | + | 10.7328i | −0.825170 | + | 0.564884i | ||||
\(362\) | −11.4683 | − | 6.62125i | −0.602762 | − | 0.348005i | ||||
\(363\) | 13.4064 | + | 22.1182i | 0.703653 | + | 1.16091i | ||||
\(364\) | 0.632790 | + | 0.754130i | 0.0331672 | + | 0.0395271i | ||||
\(365\) | 6.81502 | + | 1.20167i | 0.356714 | + | 0.0628984i | ||||
\(366\) | 4.18133 | − | 0.0891254i | 0.218561 | − | 0.00465866i | ||||
\(367\) | −27.0849 | − | 22.7269i | −1.41382 | − | 1.18633i | −0.954555 | − | 0.298035i | \(-0.903669\pi\) |
−0.459263 | − | 0.888300i | \(-0.651887\pi\) | |||||||
\(368\) | −4.81805 | − | 2.78170i | −0.251158 | − | 0.145006i | ||||
\(369\) | −3.95917 | − | 17.9444i | −0.206106 | − | 0.934146i | ||||
\(370\) | 1.03855 | − | 0.378001i | 0.0539917 | − | 0.0196514i | ||||
\(371\) | −1.66371 | + | 9.43535i | −0.0863754 | + | 0.489859i | ||||
\(372\) | 5.63687 | + | 14.5169i | 0.292258 | + | 0.752665i | ||||
\(373\) | 24.3603i | 1.26133i | 0.776055 | + | 0.630665i | \(0.217218\pi\) | ||||
−0.776055 | + | 0.630665i | \(0.782782\pi\) | |||||||
\(374\) | 25.8728 | − | 9.41694i | 1.33785 | − | 0.486938i | ||||
\(375\) | −16.4406 | − | 9.03044i | −0.848991 | − | 0.466330i | ||||
\(376\) | −7.08540 | − | 19.4670i | −0.365402 | − | 1.00393i | ||||
\(377\) | −2.33207 | + | 0.411208i | −0.120108 | + | 0.0211783i | ||||
\(378\) | 9.72744 | + | 2.85128i | 0.500326 | + | 0.146654i | ||||
\(379\) | − | 4.56637i | − | 0.234559i | −0.993099 | − | 0.117279i | \(-0.962583\pi\) | ||
0.993099 | − | 0.117279i | \(-0.0374173\pi\) | |||||||
\(380\) | 1.18570 | − | 5.21766i | 0.0608251 | − | 0.267661i | ||||
\(381\) | 1.94869 | + | 5.01856i | 0.0998346 | + | 0.257108i | ||||
\(382\) | −3.73865 | + | 0.659225i | −0.191286 | + | 0.0337289i | ||||
\(383\) | −3.81663 | + | 3.20253i | −0.195021 | + | 0.163642i | −0.735069 | − | 0.677992i | \(-0.762850\pi\) |
0.540048 | + | 0.841634i | \(0.318406\pi\) | |||||||
\(384\) | 2.54556 | − | 2.23013i | 0.129903 | − | 0.113806i | ||||
\(385\) | 2.18764 | + | 12.4067i | 0.111492 | + | 0.632305i | ||||
\(386\) | 17.2724 | + | 3.04559i | 0.879142 | + | 0.155016i | ||||
\(387\) | 10.2168 | + | 3.23268i | 0.519349 | + | 0.164327i | ||||
\(388\) | −1.87348 | + | 1.08165i | −0.0951115 | + | 0.0549126i | ||||
\(389\) | 7.24832 | + | 1.27807i | 0.367505 | + | 0.0648010i | 0.354351 | − | 0.935113i | \(-0.384702\pi\) |
0.0131536 | + | 0.999913i | \(0.495813\pi\) | |||||||
\(390\) | 1.21737 | + | 0.413928i | 0.0616441 | + | 0.0209601i | ||||
\(391\) | −11.8291 | + | 20.4886i | −0.598223 | + | 1.03615i | ||||
\(392\) | −10.3172 | −0.521097 | ||||||||
\(393\) | 14.7555 | + | 16.8425i | 0.744315 | + | 0.849593i | ||||
\(394\) | −16.0854 | + | 2.83629i | −0.810371 | + | 0.142890i | ||||
\(395\) | −13.9627 | − | 11.7161i | −0.702542 | − | 0.589503i | ||||
\(396\) | −8.75674 | + | 11.3882i | −0.440043 | + | 0.572278i | ||||
\(397\) | −24.9352 | − | 9.07567i | −1.25146 | − | 0.455495i | −0.370567 | − | 0.928806i | \(-0.620837\pi\) |
−0.880896 | + | 0.473311i | \(0.843059\pi\) | |||||||
\(398\) | 9.30338 | − | 16.1139i | 0.466336 | − | 0.807718i | ||||
\(399\) | 14.0163 | + | 2.87249i | 0.701693 | + | 0.143805i | ||||
\(400\) | 2.03539 | + | 3.52540i | 0.101769 | + | 0.176270i | ||||
\(401\) | −2.83041 | − | 16.0521i | −0.141344 | − | 0.801602i | −0.970230 | − | 0.242185i | \(-0.922136\pi\) |
0.828886 | − | 0.559417i | \(-0.188975\pi\) | |||||||
\(402\) | 23.7238 | − | 14.3796i | 1.18324 | − | 0.717189i | ||||
\(403\) | −4.96358 | + | 1.80660i | −0.247254 | + | 0.0899930i | ||||
\(404\) | 4.99974 | + | 5.95846i | 0.248746 | + | 0.296445i | ||||
\(405\) | −11.3546 | + | 3.01791i | −0.564216 | + | 0.149961i | ||||
\(406\) | −4.18114 | + | 7.24194i | −0.207506 | + | 0.359412i | ||||
\(407\) | −4.18819 | −0.207601 | ||||||||
\(408\) | 18.1449 | + | 20.7114i | 0.898307 | + | 1.02537i | ||||
\(409\) | −13.2654 | + | 15.8091i | −0.655934 | + | 0.781711i | −0.986796 | − | 0.161968i | \(-0.948216\pi\) |
0.330863 | + | 0.943679i | \(0.392660\pi\) | |||||||
\(410\) | −7.12848 | − | 4.11563i | −0.352050 | − | 0.203256i | ||||
\(411\) | 9.24106 | − | 11.5022i | 0.455828 | − | 0.567363i | ||||
\(412\) | 8.46369 | − | 10.0866i | 0.416976 | − | 0.496933i | ||||
\(413\) | 9.53342 | − | 7.99949i | 0.469109 | − | 0.393629i | ||||
\(414\) | 0.592732 | + | 13.8977i | 0.0291312 | + | 0.683036i | ||||
\(415\) | −1.82409 | − | 10.3449i | −0.0895409 | − | 0.507812i | ||||
\(416\) | 1.69813 | + | 2.02375i | 0.0832577 | + | 0.0992226i | ||||
\(417\) | −4.28354 | − | 3.44146i | −0.209766 | − | 0.168529i | ||||
\(418\) | 12.3790 | − | 19.2063i | 0.605475 | − | 0.939410i | ||||
\(419\) | −32.3192 | + | 18.6595i | −1.57889 | + | 0.911575i | −0.583880 | + | 0.811840i | \(0.698466\pi\) |
−0.995014 | + | 0.0997349i | \(0.968201\pi\) | |||||||
\(420\) | −3.44570 | + | 2.08853i | −0.168133 | + | 0.101910i | ||||
\(421\) | −0.617360 | + | 1.69618i | −0.0300883 | + | 0.0826668i | −0.953827 | − | 0.300356i | \(-0.902895\pi\) |
0.923739 | + | 0.383023i | \(0.125117\pi\) | |||||||
\(422\) | −17.6542 | + | 21.0395i | −0.859395 | + | 1.02419i | ||||
\(423\) | −12.5161 | + | 16.2773i | −0.608556 | + | 0.791430i | ||||
\(424\) | −2.65723 | + | 15.0699i | −0.129046 | + | 0.731858i | ||||
\(425\) | 14.9916 | − | 8.65543i | 0.727201 | − | 0.419850i | ||||
\(426\) | 0.600862 | − | 0.233313i | 0.0291118 | − | 0.0113041i | ||||
\(427\) | −3.40526 | − | 2.85736i | −0.164792 | − | 0.138277i | ||||
\(428\) | −1.82479 | − | 1.53118i | −0.0882046 | − | 0.0740125i | ||||
\(429\) | −3.79857 | − | 3.05182i | −0.183396 | − | 0.147343i | ||||
\(430\) | 4.15701 | − | 2.40005i | 0.200469 | − | 0.115741i | ||||
\(431\) | −3.09931 | + | 17.5771i | −0.149289 | + | 0.846658i | 0.814534 | + | 0.580115i | \(0.196993\pi\) |
−0.963823 | + | 0.266543i | \(0.914119\pi\) | |||||||
\(432\) | 6.15874 | + | 1.80523i | 0.296313 | + | 0.0868543i | ||||
\(433\) | 8.99091 | − | 10.7149i | 0.432076 | − | 0.514928i | −0.505444 | − | 0.862859i | \(-0.668671\pi\) |
0.937520 | + | 0.347932i | \(0.113116\pi\) | |||||||
\(434\) | −6.37962 | + | 17.5279i | −0.306231 | + | 0.841364i | ||||
\(435\) | −0.206543 | − | 9.69001i | −0.00990300 | − | 0.464600i | ||||
\(436\) | −9.32431 | + | 5.38339i | −0.446554 | + | 0.257818i | ||||
\(437\) | 2.45981 | + | 19.4793i | 0.117669 | + | 0.931821i | ||||
\(438\) | −1.44254 | + | 9.34095i | −0.0689270 | + | 0.446328i | ||||
\(439\) | −4.96718 | − | 5.91965i | −0.237070 | − | 0.282529i | 0.634371 | − | 0.773028i | \(-0.281259\pi\) |
−0.871442 | + | 0.490499i | \(0.836815\pi\) | |||||||
\(440\) | 3.49404 | + | 19.8157i | 0.166572 | + | 0.944675i | ||||
\(441\) | 5.48566 | + | 8.62997i | 0.261222 | + | 0.410951i | ||||
\(442\) | −2.28808 | + | 1.91993i | −0.108833 | + | 0.0913215i | ||||
\(443\) | −2.77933 | + | 3.31228i | −0.132050 | + | 0.157371i | −0.828018 | − | 0.560702i | \(-0.810531\pi\) |
0.695968 | + | 0.718073i | \(0.254976\pi\) | |||||||
\(444\) | −0.484858 | − | 1.24868i | −0.0230103 | − | 0.0592595i | ||||
\(445\) | 2.97579 | + | 1.71807i | 0.141066 | + | 0.0814444i | ||||
\(446\) | 7.61114 | − | 9.07060i | 0.360398 | − | 0.429505i | ||||
\(447\) | −10.0827 | + | 29.6535i | −0.476895 | + | 1.40256i | ||||
\(448\) | 14.0104 | 0.661927 | ||||||||
\(449\) | 16.3492 | − | 28.3177i | 0.771568 | − | 1.33640i | −0.165135 | − | 0.986271i | \(-0.552806\pi\) |
0.936703 | − | 0.350124i | \(-0.113861\pi\) | |||||||
\(450\) | 4.70893 | − | 9.02351i | 0.221981 | − | 0.425372i | ||||
\(451\) | 20.0502 | + | 23.8949i | 0.944127 | + | 1.12517i | ||||
\(452\) | −5.37816 | + | 1.95749i | −0.252968 | + | 0.0920726i | ||||
\(453\) | −0.481010 | − | 22.5666i | −0.0225998 | − | 1.06027i | ||||
\(454\) | −3.75017 | − | 21.2683i | −0.176004 | − | 0.998170i | ||||
\(455\) | −0.683336 | − | 1.18357i | −0.0320353 | − | 0.0554868i | ||||
\(456\) | 22.3864 | + | 4.58786i | 1.04834 | + | 0.214846i | ||||
\(457\) | 2.41382 | − | 4.18086i | 0.112914 | − | 0.195573i | −0.804030 | − | 0.594589i | \(-0.797315\pi\) |
0.916944 | + | 0.399016i | \(0.130648\pi\) | |||||||
\(458\) | −7.30199 | − | 2.65771i | −0.341200 | − | 0.124186i | ||||
\(459\) | 7.67670 | − | 26.1899i | 0.358318 | − | 1.22244i | ||||
\(460\) | −4.23564 | − | 3.55412i | −0.197488 | − | 0.165712i | ||||
\(461\) | 19.8871 | − | 3.50664i | 0.926236 | − | 0.163320i | 0.309869 | − | 0.950779i | \(-0.399715\pi\) |
0.616367 | + | 0.787459i | \(0.288604\pi\) | |||||||
\(462\) | −16.8778 | + | 3.34835i | −0.785227 | + | 0.155779i | ||||
\(463\) | −40.6046 | −1.88706 | −0.943529 | − | 0.331290i | \(-0.892516\pi\) | ||||
−0.943529 | + | 0.331290i | \(0.892516\pi\) | |||||||
\(464\) | −2.64721 | + | 4.58510i | −0.122894 | + | 0.212858i | ||||
\(465\) | −4.20701 | − | 21.2060i | −0.195095 | − | 0.983404i | ||||
\(466\) | 28.4969 | + | 5.02476i | 1.32009 | + | 0.232768i | ||||
\(467\) | −7.04539 | + | 4.06766i | −0.326022 | + | 0.188229i | −0.654074 | − | 0.756431i | \(-0.726941\pi\) |
0.328052 | + | 0.944660i | \(0.393608\pi\) | |||||||
\(468\) | 0.470125 | − | 1.48581i | 0.0217315 | − | 0.0686818i | ||||
\(469\) | −29.0380 | − | 5.12018i | −1.34085 | − | 0.236428i | ||||
\(470\) | 1.59713 | + | 9.05776i | 0.0736700 | + | 0.417803i | ||||
\(471\) | −7.41095 | − | 37.3559i | −0.341478 | − | 1.72127i | ||||
\(472\) | 15.2265 | − | 12.7766i | 0.700857 | − | 0.588089i | ||||
\(473\) | −17.9138 | + | 3.15868i | −0.823675 | + | 0.145236i | ||||
\(474\) | 15.5921 | − | 19.4073i | 0.716168 | − | 0.891405i | ||||
\(475\) | 5.56784 | − | 13.2435i | 0.255470 | − | 0.607653i | ||||
\(476\) | − | 9.35966i | − | 0.428999i | ||||||
\(477\) | 14.0183 | − | 5.78999i | 0.641853 | − | 0.265105i | ||||
\(478\) | −27.2025 | + | 4.79654i | −1.24422 | + | 0.219389i | ||||
\(479\) | 4.64845 | + | 12.7715i | 0.212393 | + | 0.583545i | 0.999444 | − | 0.0333431i | \(-0.0106154\pi\) |
−0.787051 | + | 0.616888i | \(0.788393\pi\) | |||||||
\(480\) | −9.24675 | + | 5.60468i | −0.422055 | + | 0.255818i | ||||
\(481\) | 0.426944 | − | 0.155395i | 0.0194670 | − | 0.00708540i | ||||
\(482\) | 5.90469i | 0.268951i | ||||||||
\(483\) | 9.26012 | − | 11.5259i | 0.421350 | − | 0.524449i | ||||
\(484\) | 2.43829 | − | 13.8282i | 0.110832 | − | 0.628557i | ||||
\(485\) | 2.82213 | − | 1.02717i | 0.128146 | − | 0.0466414i | ||||
\(486\) | −4.45147 | − | 15.4170i | −0.201923 | − | 0.699330i | ||||
\(487\) | −0.548867 | − | 0.316888i | −0.0248715 | − | 0.0143596i | 0.487513 | − | 0.873116i | \(-0.337904\pi\) |
−0.512384 | + | 0.858756i | \(0.671238\pi\) | |||||||
\(488\) | −5.43879 | − | 4.56369i | −0.246202 | − | 0.206588i | ||||
\(489\) | 4.03357 | − | 7.34343i | 0.182404 | − | 0.332081i | ||||
\(490\) | 4.51097 | + | 0.795405i | 0.203785 | + | 0.0359327i | ||||
\(491\) | −3.33772 | − | 3.97775i | −0.150629 | − | 0.179513i | 0.685453 | − | 0.728117i | \(-0.259604\pi\) |
−0.836083 | + | 0.548604i | \(0.815160\pi\) | |||||||
\(492\) | −4.80290 | + | 8.74406i | −0.216531 | + | 0.394213i | ||||
\(493\) | 19.4980 | + | 11.2572i | 0.878145 | + | 0.506997i | ||||
\(494\) | −0.549299 | + | 2.41719i | −0.0247141 | + | 0.108754i | ||||
\(495\) | 14.7173 | − | 13.4586i | 0.661495 | − | 0.604921i | ||||
\(496\) | −4.03913 | + | 11.0974i | −0.181362 | + | 0.498289i | ||||
\(497\) | −0.643783 | − | 0.234318i | −0.0288776 | − | 0.0105106i | ||||
\(498\) | 14.0730 | − | 2.79190i | 0.630625 | − | 0.125108i | ||||
\(499\) | −0.197698 | − | 0.0719561i | −0.00885017 | − | 0.00322120i | 0.337591 | − | 0.941293i | \(-0.390388\pi\) |
−0.346441 | + | 0.938072i | \(0.612610\pi\) | |||||||
\(500\) | 3.48294 | + | 9.56930i | 0.155762 | + | 0.427952i | ||||
\(501\) | −3.11036 | + | 1.20775i | −0.138961 | + | 0.0539581i | ||||
\(502\) | 4.59673i | 0.205162i | ||||||||
\(503\) | 10.5560 | + | 29.0023i | 0.470668 | + | 1.29315i | 0.917216 | + | 0.398390i | \(0.130431\pi\) |
−0.446548 | + | 0.894760i | \(0.647347\pi\) | |||||||
\(504\) | −9.23124 | − | 14.5225i | −0.411192 | − | 0.646883i | ||||
\(505\) | −5.39911 | − | 9.35154i | −0.240257 | − | 0.416138i | ||||
\(506\) | −11.8062 | − | 20.4489i | −0.524849 | − | 0.909066i | ||||
\(507\) | −20.8176 | − | 7.07834i | −0.924542 | − | 0.314360i | ||||
\(508\) | 0.999644 | − | 2.74650i | 0.0443520 | − | 0.121856i | ||||
\(509\) | 3.08959 | − | 17.5219i | 0.136944 | − | 0.776646i | −0.836543 | − | 0.547902i | \(-0.815427\pi\) |
0.973486 | − | 0.228745i | \(-0.0734621\pi\) | |||||||
\(510\) | −6.33672 | − | 10.4545i | −0.280595 | − | 0.462933i | ||||
\(511\) | 7.69568 | − | 6.45744i | 0.340437 | − | 0.285660i | ||||
\(512\) | 13.3834 | 0.591467 | ||||||||
\(513\) | −8.06530 | − | 21.1649i | −0.356092 | − | 0.934451i | ||||
\(514\) | 14.7662 | 0.651309 | ||||||||
\(515\) | −14.0029 | + | 11.7498i | −0.617042 | + | 0.517760i | ||||
\(516\) | −3.01557 | − | 4.97516i | −0.132753 | − | 0.219019i | ||||
\(517\) | 6.05236 | − | 34.3246i | 0.266182 | − | 1.50960i | ||||
\(518\) | 0.548745 | − | 1.50766i | 0.0241105 | − | 0.0662430i | ||||
\(519\) | −1.15829 | − | 0.393837i | −0.0508431 | − | 0.0172875i | ||||
\(520\) | −1.09140 | − | 1.89037i | −0.0478613 | − | 0.0828982i | ||||
\(521\) | 14.9254 | + | 25.8516i | 0.653895 | + | 1.13258i | 0.982170 | + | 0.187997i | \(0.0601997\pi\) |
−0.328274 | + | 0.944582i | \(0.606467\pi\) | |||||||
\(522\) | 13.2258 | − | 0.564074i | 0.578877 | − | 0.0246888i | ||||
\(523\) | −15.1156 | − | 41.5297i | −0.660958 | − | 1.81597i | −0.572529 | − | 0.819885i | \(-0.694038\pi\) |
−0.0884291 | − | 0.996082i | \(-0.528185\pi\) | |||||||
\(524\) | − | 12.1565i | − | 0.531060i | ||||||
\(525\) | −10.0847 | + | 3.91588i | −0.440133 | + | 0.170903i | ||||
\(526\) | −3.35402 | − | 9.21508i | −0.146242 | − | 0.401797i | ||||
\(527\) | 47.1914 | + | 17.1763i | 2.05569 | + | 0.748211i | ||||
\(528\) | −10.6859 | + | 2.11995i | −0.465043 | + | 0.0922588i | ||||
\(529\) | −2.54738 | − | 0.927172i | −0.110756 | − | 0.0403118i | ||||
\(530\) | 2.32363 | − | 6.38411i | 0.100932 | − | 0.277308i | ||||
\(531\) | −18.7831 | − | 5.94314i | −0.815117 | − | 0.257910i | ||||
\(532\) | −4.69598 | − | 6.18737i | −0.203596 | − | 0.268256i | ||||
\(533\) | −2.93049 | − | 1.69192i | −0.126934 | − | 0.0732852i | ||||
\(534\) | −2.25943 | + | 4.11347i | −0.0977750 | + | 0.178007i | ||||
\(535\) | 2.12569 | + | 2.53329i | 0.0919014 | + | 0.109524i | ||||
\(536\) | −46.3786 | − | 8.17780i | −2.00325 | − | 0.353227i | ||||
\(537\) | −16.8748 | + | 30.7219i | −0.728202 | + | 1.32575i | ||||
\(538\) | −5.39197 | − | 4.52440i | −0.232464 | − | 0.195061i | ||||
\(539\) | −15.0326 | − | 8.67907i | −0.647499 | − | 0.373834i | ||||
\(540\) | 5.71638 | + | 2.82977i | 0.245994 | + | 0.121774i | ||||
\(541\) | 27.4781 | − | 10.0012i | 1.18138 | − | 0.429986i | 0.324689 | − | 0.945821i | \(-0.394740\pi\) |
0.856688 | + | 0.515834i | \(0.172518\pi\) | |||||||
\(542\) | −5.03917 | + | 28.5785i | −0.216451 | + | 1.22755i | ||||
\(543\) | 13.9553 | − | 17.3700i | 0.598879 | − | 0.745417i | ||||
\(544\) | − | 25.1172i | − | 1.07689i | ||||||
\(545\) | 14.0457 | − | 5.11223i | 0.601653 | − | 0.218984i | ||||
\(546\) | 1.59629 | − | 0.967551i | 0.0683149 | − | 0.0414074i | ||||
\(547\) | 0.732656 | + | 2.01296i | 0.0313261 | + | 0.0860678i | 0.954370 | − | 0.298627i | \(-0.0965288\pi\) |
−0.923044 | + | 0.384695i | \(0.874307\pi\) | |||||||
\(548\) | −7.88858 | + | 1.39097i | −0.336983 | + | 0.0594192i | ||||
\(549\) | −0.925557 | + | 6.97588i | −0.0395018 | + | 0.297723i | ||||
\(550\) | 17.2773i | 0.736708i | ||||||||
\(551\) | 18.5375 | − | 2.34088i | 0.789723 | − | 0.0997249i | ||||
\(552\) | 14.7900 | − | 18.4089i | 0.629504 | − | 0.783535i | ||||
\(553\) | −26.0583 | + | 4.59478i | −1.10811 | + | 0.195390i | ||||
\(554\) | −2.33908 | + | 1.96272i | −0.0993780 | + | 0.0833881i | ||||
\(555\) | 0.361867 | + | 1.82404i | 0.0153604 | + | 0.0774262i | ||||
\(556\) | 0.518011 | + | 2.93779i | 0.0219686 | + | 0.124590i | ||||
\(557\) | 0.460074 | + | 0.0811235i | 0.0194940 | + | 0.00343731i | 0.183387 | − | 0.983041i | \(-0.441294\pi\) |
−0.163893 | + | 0.986478i | \(0.552405\pi\) | |||||||
\(558\) | 28.8345 | − | 6.36193i | 1.22066 | − | 0.269322i | ||||
\(559\) | 1.70893 | − | 0.986652i | 0.0722801 | − | 0.0417309i | ||||
\(560\) | −3.00914 | − | 0.530593i | −0.127160 | − | 0.0224217i | ||||
\(561\) | 9.01500 | + | 45.4413i | 0.380614 | + | 1.91853i | ||||
\(562\) | −6.98171 | + | 12.0927i | −0.294506 | + | 0.510099i | ||||
\(563\) | 34.7538 | 1.46470 | 0.732350 | − | 0.680929i | \(-0.238424\pi\) | ||||
0.732350 | + | 0.680929i | \(0.238424\pi\) | |||||||
\(564\) | 10.9343 | − | 2.16923i | 0.460416 | − | 0.0913409i | ||||
\(565\) | 7.82478 | − | 1.37972i | 0.329191 | − | 0.0580452i | ||||
\(566\) | −5.01758 | − | 4.21025i | −0.210904 | − | 0.176970i | ||||
\(567\) | −7.23929 | + | 15.4432i | −0.304022 | + | 0.648555i | ||||
\(568\) | −1.02823 | − | 0.374246i | −0.0431436 | − | 0.0157030i | ||||
\(569\) | 1.65136 | − | 2.86024i | 0.0692287 | − | 0.119908i | −0.829333 | − | 0.558754i | \(-0.811280\pi\) |
0.898562 | + | 0.438847i | \(0.144613\pi\) | |||||||
\(570\) | −9.43428 | − | 3.73183i | −0.395158 | − | 0.156309i | ||||
\(571\) | −16.4743 | − | 28.5343i | −0.689428 | − | 1.19412i | −0.972023 | − | 0.234885i | \(-0.924529\pi\) |
0.282595 | − | 0.959239i | \(-0.408805\pi\) | |||||||
\(572\) | 0.459362 | + | 2.60517i | 0.0192069 | + | 0.108928i | ||||
\(573\) | −0.136122 | − | 6.38617i | −0.00568657 | − | 0.266786i | ||||
\(574\) | −11.2287 | + | 4.08691i | −0.468677 | + | 0.170584i | ||||
\(575\) | −9.54262 | − | 11.3725i | −0.397955 | − | 0.474264i | ||||
\(576\) | −11.8978 | − | 18.7175i | −0.495743 | − | 0.779898i | ||||
\(577\) | −12.2898 | + | 21.2865i | −0.511630 | + | 0.886169i | 0.488279 | + | 0.872687i | \(0.337625\pi\) |
−0.999909 | + | 0.0134815i | \(0.995709\pi\) | |||||||
\(578\) | 10.8980 | 0.453296 | ||||||||
\(579\) | −9.49994 | + | 27.9396i | −0.394804 | + | 1.16113i | ||||
\(580\) | −3.38228 | + | 4.03085i | −0.140442 | + | 0.167372i | ||||
\(581\) | −13.2064 | − | 7.62469i | −0.547892 | − | 0.316326i | ||||
\(582\) | 1.48475 | + | 3.82374i | 0.0615449 | + | 0.158499i | ||||
\(583\) | −16.5488 | + | 19.7221i | −0.685383 | + | 0.816807i | ||||
\(584\) | 12.2913 | − | 10.3136i | 0.508618 | − | 0.426781i | ||||
\(585\) | −1.00093 | + | 1.91803i | −0.0413833 | + | 0.0793009i | ||||
\(586\) | 2.20073 | + | 12.4809i | 0.0909112 | + | 0.515583i | ||||
\(587\) | 29.8376 | + | 35.5590i | 1.23153 | + | 1.46768i | 0.835547 | + | 0.549419i | \(0.185151\pi\) |
0.395981 | + | 0.918259i | \(0.370405\pi\) | |||||||
\(588\) | 0.847303 | − | 5.48660i | 0.0349422 | − | 0.226263i | ||||
\(589\) | 39.8145 | − | 12.3225i | 1.64053 | − | 0.507738i | ||||
\(590\) | −7.64247 | + | 4.41238i | −0.314635 | + | 0.181655i | ||||
\(591\) | −0.585658 | − | 27.4762i | −0.0240908 | − | 1.13022i | ||||
\(592\) | 0.347427 | − | 0.954549i | 0.0142792 | − | 0.0392317i | ||||
\(593\) | 13.8322 | − | 16.4846i | 0.568020 | − | 0.676940i | −0.403203 | − | 0.915110i | \(-0.632103\pi\) |
0.971223 | + | 0.238171i | \(0.0765477\pi\) | |||||||
\(594\) | 18.8063 | + | 19.7049i | 0.771630 | + | 0.808503i | ||||
\(595\) | −2.25633 | + | 12.7963i | −0.0925006 | + | 0.524597i | ||||
\(596\) | 14.7259 | − | 8.50202i | 0.603198 | − | 0.348256i | ||||
\(597\) | 24.4062 | + | 19.6083i | 0.998879 | + | 0.802515i | ||||
\(598\) | 1.96224 | + | 1.64652i | 0.0802421 | + | 0.0673311i | ||||
\(599\) | 17.5885 | + | 14.7585i | 0.718648 | + | 0.603017i | 0.927011 | − | 0.375034i | \(-0.122369\pi\) |
−0.208363 | + | 0.978052i | \(0.566814\pi\) | |||||||
\(600\) | −16.1070 | + | 6.25432i | −0.657567 | + | 0.255332i | ||||
\(601\) | 8.75623 | − | 5.05541i | 0.357174 | − | 0.206215i | −0.310666 | − | 0.950519i | \(-0.600552\pi\) |
0.667840 | + | 0.744304i | \(0.267219\pi\) | |||||||
\(602\) | 1.21003 | − | 6.86244i | 0.0493173 | − | 0.279692i | ||||
\(603\) | 17.8191 | + | 43.1422i | 0.725650 | + | 1.75689i | ||||
\(604\) | −7.87685 | + | 9.38727i | −0.320505 | + | 0.381963i | ||||
\(605\) | −6.66714 | + | 18.3178i | −0.271058 | + | 0.744725i | ||||
\(606\) | 12.6125 | − | 7.64472i | 0.512346 | − | 0.310546i | ||||
\(607\) | −23.3384 | + | 13.4744i | −0.947277 | + | 0.546911i | −0.892234 | − | 0.451573i | \(-0.850863\pi\) |
−0.0550432 | + | 0.998484i | \(0.517530\pi\) | |||||||
\(608\) | −12.6019 | − | 16.6042i | −0.511076 | − | 0.673388i | ||||
\(609\) | −10.9687 | − | 8.81240i | −0.444473 | − | 0.357096i | ||||
\(610\) | 2.02615 | + | 2.41468i | 0.0820366 | + | 0.0977674i | ||||
\(611\) | 0.656574 | + | 3.72361i | 0.0265621 | + | 0.150641i | ||||
\(612\) | −12.5043 | + | 7.94839i | −0.505457 | + | 0.321295i | ||||
\(613\) | 22.9952 | − | 19.2953i | 0.928768 | − | 0.779329i | −0.0468276 | − | 0.998903i | \(-0.514911\pi\) |
0.975596 | + | 0.219574i | \(0.0704667\pi\) | |||||||
\(614\) | −2.75218 | + | 3.27992i | −0.111069 | + | 0.132367i | ||||
\(615\) | 8.67433 | − | 10.7968i | 0.349783 | − | 0.435370i | ||||
\(616\) | 25.2968 | + | 14.6051i | 1.01924 | + | 0.588456i | ||||
\(617\) | −15.8259 | + | 18.8605i | −0.637125 | + | 0.759296i | −0.983913 | − | 0.178648i | \(-0.942828\pi\) |
0.346788 | + | 0.937943i | \(0.387272\pi\) | |||||||
\(618\) | −16.4521 | − | 18.7791i | −0.661800 | − | 0.755407i | ||||
\(619\) | −40.0436 | −1.60949 | −0.804743 | − | 0.593623i | \(-0.797697\pi\) | ||||
−0.804743 | + | 0.593623i | \(0.797697\pi\) | |||||||
\(620\) | −5.86855 | + | 10.1646i | −0.235687 | + | 0.408221i | ||||
\(621\) | −23.2623 | − | 2.58329i | −0.933483 | − | 0.103664i | ||||
\(622\) | −10.2184 | − | 12.1779i | −0.409722 | − | 0.488288i | ||||
\(623\) | 4.68742 | − | 1.70608i | 0.187798 | − | 0.0683528i | ||||
\(624\) | 1.01066 | − | 0.612586i | 0.0404588 | − | 0.0245231i | ||||
\(625\) | 0.406681 | + | 2.30640i | 0.0162672 | + | 0.0922560i | ||||
\(626\) | 3.50907 | + | 6.07789i | 0.140251 | + | 0.242922i | ||||
\(627\) | 28.7586 | + | 25.5167i | 1.14851 | + | 1.01904i | ||||
\(628\) | −10.3379 | + | 17.9057i | −0.412526 | + | 0.714516i | ||||
\(629\) | −4.05919 | − | 1.47742i | −0.161851 | − | 0.0589088i | ||||
\(630\) | 2.91655 | + | 7.06132i | 0.116198 | + | 0.281330i | ||||
\(631\) | 12.0925 | + | 10.1469i | 0.481397 | + | 0.403940i | 0.850931 | − | 0.525277i | \(-0.176038\pi\) |
−0.369534 | + | 0.929217i | \(0.620483\pi\) | |||||||
\(632\) | −41.6195 | + | 7.33864i | −1.65554 | + | 0.291916i | ||||
\(633\) | −30.4523 | − | 34.7596i | −1.21037 | − | 1.38157i | ||||
\(634\) | 9.68917 | 0.384806 | ||||||||
\(635\) | −2.02879 | + | 3.51396i | −0.0805099 | + | 0.139447i | ||||
\(636\) | −7.79581 | − | 2.65071i | −0.309124 | − | 0.105107i | ||||
\(637\) | 1.85444 | + | 0.326988i | 0.0734757 | + | 0.0129557i | ||||
\(638\) | −19.4602 | + | 11.2354i | −0.770438 | + | 0.444813i | ||||
\(639\) | 0.233668 | + | 1.05907i | 0.00924377 | + | 0.0418961i | ||||
\(640\) | 2.51194 | + | 0.442923i | 0.0992933 | + | 0.0175081i | ||||
\(641\) | −3.66739 | − | 20.7988i | −0.144853 | − | 0.821503i | −0.967485 | − | 0.252929i | \(-0.918606\pi\) |
0.822632 | − | 0.568574i | \(-0.192505\pi\) | |||||||
\(642\) | −3.39737 | + | 2.97638i | −0.134083 | + | 0.117468i | ||||
\(643\) | 4.26135 | − | 3.57570i | 0.168051 | − | 0.141012i | −0.554883 | − | 0.831928i | \(-0.687237\pi\) |
0.722935 | + | 0.690916i | \(0.242793\pi\) | |||||||
\(644\) | −7.90485 | + | 1.39384i | −0.311495 | + | 0.0549249i | ||||
\(645\) | 2.92345 | + | 7.52888i | 0.115111 | + | 0.296449i | ||||
\(646\) | 18.7729 | − | 14.2479i | 0.738609 | − | 0.560576i | ||||
\(647\) | − | 19.5668i | − | 0.769252i | −0.923073 | − | 0.384626i | \(-0.874330\pi\) | ||
0.923073 | − | 0.384626i | \(-0.125670\pi\) | |||||||
\(648\) | −11.5624 | + | 24.6655i | −0.454214 | + | 0.968952i | ||||
\(649\) | 32.9336 | − | 5.80708i | 1.29276 | − | 0.227948i | ||||
\(650\) | −0.641043 | − | 1.76125i | −0.0251438 | − | 0.0690820i | ||||
\(651\) | −27.5082 | − | 15.1096i | −1.07813 | − | 0.592191i | ||||
\(652\) | −4.27426 | + | 1.55570i | −0.167393 | + | 0.0609260i | ||||
\(653\) | 25.3016i | 0.990127i | 0.868857 | + | 0.495064i | \(0.164855\pi\) | ||||
−0.868857 | + | 0.495064i | \(0.835145\pi\) | |||||||
\(654\) | 7.38961 | + | 19.0308i | 0.288956 | + | 0.744162i | ||||
\(655\) | −2.93057 | + | 16.6201i | −0.114507 | + | 0.649400i | ||||
\(656\) | −7.10923 | + | 2.58755i | −0.277569 | + | 0.101027i | ||||
\(657\) | −15.1623 | − | 4.79749i | −0.591538 | − | 0.187168i | ||||
\(658\) | 11.5632 | + | 6.67601i | 0.450780 | + | 0.260258i | ||||
\(659\) | −26.3078 | − | 22.0749i | −1.02481 | − | 0.859915i | −0.0345826 | − | 0.999402i | \(-0.511010\pi\) |
−0.990224 | + | 0.139487i | \(0.955455\pi\) | |||||||
\(660\) | −10.8248 | + | 0.230731i | −0.421353 | + | 0.00898118i | ||||
\(661\) | 18.1920 | + | 3.20774i | 0.707587 | + | 0.124767i | 0.515849 | − | 0.856679i | \(-0.327476\pi\) |
0.191738 | + | 0.981446i | \(0.438588\pi\) | |||||||
\(662\) | −22.9362 | − | 27.3343i | −0.891440 | − | 1.06238i | ||||
\(663\) | −2.60500 | − | 4.29780i | −0.101170 | − | 0.166913i | ||||
\(664\) | −21.0928 | − | 12.1779i | −0.818560 | − | 0.472596i | ||||
\(665\) | 4.92863 | + | 9.59126i | 0.191124 | + | 0.371933i | ||||
\(666\) | −2.48021 | + | 0.547223i | −0.0961063 | + | 0.0212045i | ||||
\(667\) | 6.60378 | − | 18.1437i | 0.255699 | − | 0.702528i | ||||
\(668\) | 1.70220 | + | 0.619551i | 0.0658602 | + | 0.0239712i | ||||
\(669\) | 13.1287 | + | 14.9856i | 0.507583 | + | 0.579378i | ||||
\(670\) | 19.6476 | + | 7.15113i | 0.759051 | + | 0.276272i | ||||
\(671\) | −4.08547 | − | 11.2247i | −0.157718 | − | 0.433326i | ||||
\(672\) | −2.39569 | + | 15.5129i | −0.0924156 | + | 0.598425i | ||||
\(673\) | − | 22.9356i | − | 0.884104i | −0.896989 | − | 0.442052i | \(-0.854251\pi\) | ||
0.896989 | − | 0.442052i | \(-0.145749\pi\) | |||||||
\(674\) | −0.263730 | − | 0.724593i | −0.0101585 | − | 0.0279103i | ||||
\(675\) | 13.7956 | + | 10.1475i | 0.530995 | + | 0.390579i | ||||
\(676\) | 5.96866 | + | 10.3380i | 0.229564 | + | 0.397616i | ||||
\(677\) | 17.1278 | + | 29.6662i | 0.658274 | + | 1.14016i | 0.981062 | + | 0.193693i | \(0.0620465\pi\) |
−0.322788 | + | 0.946471i | \(0.604620\pi\) | |||||||
\(678\) | 2.11177 | + | 10.6446i | 0.0811019 | + | 0.408805i | ||||
\(679\) | 1.49114 | − | 4.09688i | 0.0572248 | − | 0.157224i | ||||
\(680\) | −3.60375 | + | 20.4379i | −0.138197 | + | 0.783756i | ||||
\(681\) | 36.3294 | − | 0.774364i | 1.39214 | − | 0.0296737i | ||||
\(682\) | −38.3963 | + | 32.2184i | −1.47027 | + | 1.23370i | ||||
\(683\) | −20.2934 | −0.776507 | −0.388254 | − | 0.921553i | \(-0.626922\pi\) | ||||
−0.388254 | + | 0.921553i | \(0.626922\pi\) | |||||||
\(684\) | −4.27828 | + | 11.5281i | −0.163584 | + | 0.440790i | ||||
\(685\) | 11.1204 | 0.424888 | ||||||||
\(686\) | 15.5547 | − | 13.0520i | 0.593883 | − | 0.498327i | ||||
\(687\) | 6.29455 | − | 11.4597i | 0.240152 | − | 0.437216i | ||||
\(688\) | 0.766110 | − | 4.34483i | 0.0292077 | − | 0.165645i | ||||
\(689\) | 0.955235 | − | 2.62449i | 0.0363916 | − | 0.0999850i | ||||
\(690\) | −7.88584 | + | 6.90866i | −0.300209 | + | 0.263008i | ||||
\(691\) | 18.5303 | + | 32.0954i | 0.704925 | + | 1.22097i | 0.966719 | + | 0.255842i | \(0.0823527\pi\) |
−0.261793 | + | 0.965124i | \(0.584314\pi\) | |||||||
\(692\) | 0.332095 | + | 0.575205i | 0.0126243 | + | 0.0218660i | ||||
\(693\) | −1.23366 | − | 28.9254i | −0.0468627 | − | 1.09879i | ||||
\(694\) | 5.04470 | + | 13.8602i | 0.191494 | + | 0.526126i | ||||
\(695\) | − | 4.14134i | − | 0.157090i | ||||||
\(696\) | −17.5188 | − | 14.0749i | −0.664050 | − | 0.533508i | ||||
\(697\) | 11.0035 | + | 30.2318i | 0.416786 | + | 1.14511i | ||||
\(698\) | 0.109911 | + | 0.0400043i | 0.00416018 | + | 0.00151418i | ||||
\(699\) | −15.6735 | + | 46.0961i | −0.592825 | + | 1.74351i | ||||
\(700\) | 5.51906 | + | 2.00877i | 0.208601 | + | 0.0759244i | ||||
\(701\) | −0.0851016 | + | 0.233815i | −0.00321424 | + | 0.00883106i | −0.941289 | − | 0.337601i | \(-0.890385\pi\) |
0.938075 | + | 0.346432i | \(0.112607\pi\) | |||||||
\(702\) | −2.64822 | − | 1.31095i | −0.0999508 | − | 0.0494786i | ||||
\(703\) | −3.42466 | + | 1.05992i | −0.129163 | + | 0.0399757i | ||||
\(704\) | 32.6042 | + | 18.8240i | 1.22882 | + | 0.709457i | ||||
\(705\) | −15.4720 | + | 0.329787i | −0.582709 | + | 0.0124205i | ||||
\(706\) | −2.80418 | − | 3.34189i | −0.105537 | − | 0.125774i | ||||
\(707\) | −15.4376 | − | 2.72207i | −0.580593 | − | 0.102374i | ||||
\(708\) | 5.54399 | + | 9.14661i | 0.208356 | + | 0.343751i | ||||
\(709\) | 9.22851 | + | 7.74364i | 0.346584 | + | 0.290819i | 0.799417 | − | 0.600777i | \(-0.205142\pi\) |
−0.452833 | + | 0.891596i | \(0.649586\pi\) | |||||||
\(710\) | 0.420719 | + | 0.242902i | 0.0157893 | + | 0.00911597i | ||||
\(711\) | 28.2677 | + | 30.9113i | 1.06012 | + | 1.15927i | ||||
\(712\) | 7.48662 | − | 2.72491i | 0.280573 | − | 0.102120i | ||||
\(713\) | 7.47876 | − | 42.4142i | 0.280082 | − | 1.58842i | ||||
\(714\) | −17.5391 | − | 2.70859i | −0.656385 | − | 0.101367i | ||||
\(715\) | − | 3.67246i | − | 0.137342i | ||||||
\(716\) | 17.8818 | − | 6.50843i | 0.668273 | − | 0.243231i | ||||
\(717\) | −0.990426 | − | 46.4660i | −0.0369881 | − | 1.73530i | ||||
\(718\) | −11.8656 | − | 32.6004i | −0.442819 | − | 1.21664i | ||||
\(719\) | 45.5717 | − | 8.03553i | 1.69954 | − | 0.299675i | 0.762006 | − | 0.647570i | \(-0.224215\pi\) |
0.937533 | + | 0.347896i | \(0.113104\pi\) | |||||||
\(720\) | 1.84656 | + | 4.47074i | 0.0688171 | + | 0.166615i | ||||
\(721\) | 26.5364i | 0.988267i | ||||||||
\(722\) | 5.26160 | − | 18.8376i | 0.195817 | − | 0.701064i | ||||
\(723\) | −9.81871 | − | 1.51632i | −0.365162 | − | 0.0563925i | ||||
\(724\) | −11.9129 | + | 2.10056i | −0.442738 | + | 0.0780667i | ||||
\(725\) | −10.8226 | + | 9.08125i | −0.401942 | + | 0.337269i | ||||
\(726\) | −25.2072 | − | 8.57089i | −0.935527 | − | 0.318095i | ||||
\(727\) | 1.99292 | + | 11.3024i | 0.0739133 | + | 0.419183i | 0.999203 | + | 0.0399215i | \(0.0127108\pi\) |
−0.925290 | + | 0.379261i | \(0.876178\pi\) | |||||||
\(728\) | −3.12065 | − | 0.550254i | −0.115659 | − | 0.0203938i | ||||
\(729\) | 26.7796 | − | 3.44312i | 0.991836 | − | 0.127523i | ||||
\(730\) | −6.16924 | + | 3.56181i | −0.228334 | + | 0.131829i | ||||
\(731\) | −18.4762 | − | 3.25786i | −0.683368 | − | 0.120496i | ||||
\(732\) | 2.87359 | − | 2.51751i | 0.106211 | − | 0.0930498i | ||||
\(733\) | −4.59735 | + | 7.96285i | −0.169807 | + | 0.294115i | −0.938352 | − | 0.345681i | \(-0.887648\pi\) |
0.768545 | + | 0.639796i | \(0.220981\pi\) | |||||||
\(734\) | 36.3964 | 1.34341 | ||||||||
\(735\) | −2.48106 | + | 7.29688i | −0.0915154 | + | 0.269149i | ||||
\(736\) | −21.2131 | + | 3.74045i | −0.781926 | + | 0.137875i | ||||
\(737\) | −60.6962 | − | 50.9302i | −2.23577 | − | 1.87604i | ||||
\(738\) | 14.9956 | + | 11.5306i | 0.551997 | + | 0.424448i | ||||
\(739\) | −15.7479 | − | 5.73176i | −0.579295 | − | 0.210846i | 0.0357194 | − | 0.999362i | \(-0.488628\pi\) |
−0.615015 | + | 0.788516i | \(0.710850\pi\) | |||||||
\(740\) | 0.504786 | − | 0.874314i | 0.0185563 | − | 0.0321404i | ||||
\(741\) | −3.87840 | − | 1.53414i | −0.142477 | − | 0.0563581i | ||||
\(742\) | −4.93131 | − | 8.54127i | −0.181034 | − | 0.313560i | ||||
\(743\) | −3.31059 | − | 18.7753i | −0.121454 | − | 0.688798i | −0.983351 | − | 0.181715i | \(-0.941835\pi\) |
0.861897 | − | 0.507083i | \(-0.169276\pi\) | |||||||
\(744\) | −43.9353 | − | 24.1326i | −1.61075 | − | 0.884744i | ||||
\(745\) | −22.1825 | + | 8.07377i | −0.812704 | + | 0.295800i | ||||
\(746\) | −16.1189 | − | 19.2098i | −0.590156 | − | 0.703320i | ||||
\(747\) | 1.02864 | + | 24.1184i | 0.0376360 | + | 0.882447i | ||||
\(748\) | 12.5754 | − | 21.7813i | 0.459804 | − | 0.796403i | ||||
\(749\) | 4.80075 | 0.175415 | ||||||||
\(750\) | 18.9399 | − | 3.75744i | 0.691587 | − | 0.137202i | ||||
\(751\) | −10.5101 | + | 12.5255i | −0.383520 | + | 0.457062i | −0.922922 | − | 0.384987i | \(-0.874206\pi\) |
0.539402 | + | 0.842049i | \(0.318650\pi\) | |||||||
\(752\) | 7.32101 | + | 4.22679i | 0.266970 | + | 0.154135i | ||||
\(753\) | −7.64375 | − | 1.18044i | −0.278554 | − | 0.0430175i | ||||
\(754\) | 1.56691 | − | 1.86737i | 0.0570635 | − | 0.0680056i | ||||
\(755\) | 13.0320 | − | 10.9352i | 0.474284 | − | 0.397971i | ||||
\(756\) | 8.48106 | − | 3.71643i | 0.308453 | − | 0.135165i | ||||
\(757\) | 1.53487 | + | 8.70469i | 0.0557858 | + | 0.316377i | 0.999913 | − | 0.0132048i | \(-0.00420333\pi\) |
−0.944127 | + | 0.329582i | \(0.893092\pi\) | |||||||
\(758\) | 3.02151 | + | 3.60089i | 0.109746 | + | 0.130790i | ||||
\(759\) | 37.0357 | − | 14.3809i | 1.34431 | − | 0.521992i | ||||
\(760\) | 7.87187 | + | 15.3189i | 0.285543 | + | 0.555675i | ||||
\(761\) | −2.25718 | + | 1.30318i | −0.0818227 | + | 0.0472404i | −0.540353 | − | 0.841438i | \(-0.681709\pi\) |
0.458530 | + | 0.888679i | \(0.348376\pi\) | |||||||
\(762\) | −4.85739 | − | 2.66805i | −0.175965 | − | 0.0966532i | ||||
\(763\) | 7.42143 | − | 20.3902i | 0.268674 | − | 0.738175i | ||||
\(764\) | −2.22908 | + | 2.65652i | −0.0806454 | + | 0.0961094i | ||||
\(765\) | 19.0117 | − | 7.85242i | 0.687369 | − | 0.283905i | ||||
\(766\) | 0.890598 | − | 5.05083i | 0.0321786 | − | 0.182494i | ||||
\(767\) | −3.14179 | + | 1.81391i | −0.113444 | + | 0.0654966i | ||||
\(768\) | −4.44036 | + | 28.7530i | −0.160228 | + | 1.03753i | ||||
\(769\) | 21.1464 | + | 17.7439i | 0.762558 | + | 0.639862i | 0.938791 | − | 0.344486i | \(-0.111947\pi\) |
−0.176233 | + | 0.984348i | \(0.556391\pi\) | |||||||
\(770\) | −9.93448 | − | 8.33602i | −0.358014 | − | 0.300409i | ||||
\(771\) | −3.79194 | + | 24.5542i | −0.136564 | + | 0.884299i | ||||
\(772\) | 13.8748 | − | 8.01062i | 0.499365 | − | 0.288309i | ||||
\(773\) | 2.94101 | − | 16.6793i | 0.105781 | − | 0.599912i | −0.885125 | − | 0.465353i | \(-0.845927\pi\) |
0.990906 | − | 0.134558i | \(-0.0429616\pi\) | |||||||
\(774\) | −10.1957 | + | 4.21113i | −0.366475 | + | 0.151366i | ||||
\(775\) | −20.2565 | + | 24.1407i | −0.727634 | + | 0.867160i | ||||
\(776\) | 2.38161 | − | 6.54342i | 0.0854949 | − | 0.234895i | ||||
\(777\) | 2.36613 | + | 1.29966i | 0.0848844 | + | 0.0466249i | ||||
\(778\) | −6.56148 | + | 3.78827i | −0.235241 | + | 0.135816i | ||||
\(779\) | 22.4421 | + | 14.4645i | 0.804071 | + | 0.518245i | ||||
\(780\) | 1.09491 | − | 0.425153i | 0.0392042 | − | 0.0152229i | ||||
\(781\) | −1.18335 | − | 1.41027i | −0.0423437 | − | 0.0504633i | ||||
\(782\) | −4.22899 | − | 23.9838i | −0.151229 | − | 0.857660i | ||||
\(783\) | −2.45839 | + | 22.1376i | −0.0878556 | + | 0.791132i | ||||
\(784\) | 3.22510 | − | 2.70618i | 0.115182 | − | 0.0966492i | ||||
\(785\) | 18.4502 | − | 21.9881i | 0.658516 | − | 0.784789i | ||||
\(786\) | −22.7802 | − | 3.51797i | −0.812542 | − | 0.125482i | ||||
\(787\) | 12.1246 | + | 7.00013i | 0.432195 | + | 0.249528i | 0.700281 | − | 0.713867i | \(-0.253058\pi\) |
−0.268087 | + | 0.963395i | \(0.586391\pi\) | |||||||
\(788\) | −9.59054 | + | 11.4296i | −0.341649 | + | 0.407161i | ||||
\(789\) | 16.1848 | − | 3.21086i | 0.576193 | − | 0.114310i | ||||
\(790\) | 18.7630 | 0.667558 | ||||||||
\(791\) | 5.76724 | − | 9.98915i | 0.205059 | − | 0.355173i | ||||
\(792\) | −1.97036 | − | 46.1988i | −0.0700137 | − | 1.64160i | ||||
\(793\) | 0.832945 | + | 0.992665i | 0.0295787 | + | 0.0352506i | ||||
\(794\) | 25.6684 | − | 9.34252i | 0.910936 | − | 0.331554i | ||||
\(795\) | 10.0192 | + | 5.50332i | 0.355345 | + | 0.195183i | ||||
\(796\) | −2.95145 | − | 16.7385i | −0.104611 | − | 0.593281i | ||||
\(797\) | −1.47817 | − | 2.56026i | −0.0523594 | − | 0.0906892i | 0.838658 | − | 0.544659i | \(-0.183341\pi\) |
−0.891017 | + | 0.453970i | \(0.850007\pi\) | |||||||
\(798\) | −12.9535 | + | 7.00925i | −0.458549 | + | 0.248125i | ||||
\(799\) | 17.9743 | − | 31.1324i | 0.635884 | − | 1.10138i | ||||
\(800\) | 14.8107 | + | 5.39066i | 0.523638 | + | 0.190589i | ||||
\(801\) | −6.25993 | − | 4.81346i | −0.221184 | − | 0.170075i | ||||
\(802\) | 12.8534 | + | 10.7853i | 0.453870 | + | 0.380842i | ||||
\(803\) | 26.5850 | − | 4.68766i | 0.938166 | − | 0.165424i | ||||
\(804\) | 8.15774 | − | 23.9921i | 0.287701 | − | 0.846138i | ||||
\(805\) | 11.1433 | 0.392750 | ||||||||
\(806\) | 2.71872 | − | 4.70896i | 0.0957629 | − | 0.165866i | ||||
\(807\) | 8.90813 | − | 7.80427i | 0.313581 | − | 0.274723i | ||||
\(808\) | −24.6566 | − | 4.34762i | −0.867415 | − | 0.152949i | ||||
\(809\) | 17.0663 | − | 9.85324i | 0.600019 | − | 0.346421i | −0.169030 | − | 0.985611i | \(-0.554063\pi\) |
0.769049 | + | 0.639190i | \(0.220730\pi\) | |||||||
\(810\) | 6.95699 | − | 9.89304i | 0.244444 | − | 0.347606i | ||||
\(811\) | 18.0689 | + | 3.18603i | 0.634484 | + | 0.111877i | 0.481634 | − | 0.876373i | \(-0.340044\pi\) |
0.152850 | + | 0.988249i | \(0.451155\pi\) | |||||||
\(812\) | 1.32645 | + | 7.52265i | 0.0465492 | + | 0.263993i | ||||
\(813\) | −46.2282 | − | 15.7184i | −1.62130 | − | 0.551268i | ||||
\(814\) | 3.30268 | − | 2.77127i | 0.115759 | − | 0.0971331i | ||||
\(815\) | 6.21868 | − | 1.09652i | 0.217831 | − | 0.0384095i | ||||
\(816\) | −11.1046 | − | 1.71489i | −0.388737 | − | 0.0600333i | ||||
\(817\) | −13.8486 | + | 7.11632i | −0.484500 | + | 0.248969i | ||||
\(818\) | − | 21.2441i | − | 0.742784i | ||||||
\(819\) | 1.19898 | + | 2.90288i | 0.0418958 | + | 0.101435i | ||||
\(820\) | −7.40479 | + | 1.30566i | −0.258586 | + | 0.0455958i | ||||
\(821\) | 14.7938 | + | 40.6457i | 0.516308 | + | 1.41855i | 0.874559 | + | 0.484920i | \(0.161151\pi\) |
−0.358250 | + | 0.933626i | \(0.616627\pi\) | |||||||
\(822\) | 0.323669 | + | 15.1850i | 0.0112893 | + | 0.529637i | ||||
\(823\) | 30.4212 | − | 11.0724i | 1.06042 | − | 0.385960i | 0.247831 | − | 0.968803i | \(-0.420282\pi\) |
0.812585 | + | 0.582843i | \(0.198060\pi\) | |||||||
\(824\) | 42.3831i | 1.47649i | ||||||||
\(825\) | −28.7299 | − | 4.43680i | −1.00025 | − | 0.154470i | ||||
\(826\) | −2.22459 | + | 12.6163i | −0.0774035 | + | 0.438977i | ||||
\(827\) | −19.2831 | + | 7.01846i | −0.670538 | + | 0.244056i | −0.654779 | − | 0.755820i | \(-0.727239\pi\) |
−0.0157585 | + | 0.999876i | \(0.505016\pi\) | |||||||
\(828\) | 8.57507 | + | 9.37704i | 0.298004 | + | 0.325875i | ||||
\(829\) | 2.74471 | + | 1.58466i | 0.0953277 | + | 0.0550375i | 0.546906 | − | 0.837194i | \(-0.315806\pi\) |
−0.451578 | + | 0.892231i | \(0.649139\pi\) | |||||||
\(830\) | 8.28351 | + | 6.95069i | 0.287525 | + | 0.241262i | ||||
\(831\) | −2.66307 | − | 4.39360i | −0.0923809 | − | 0.152412i | ||||
\(832\) | −4.02210 | − | 0.709204i | −0.139441 | − | 0.0245872i | ||||
\(833\) | −11.5079 | − | 13.7146i | −0.398726 | − | 0.475184i | ||||
\(834\) | 5.65504 | − | 0.120538i | 0.195818 | − | 0.00417388i | ||||
\(835\) | −2.17785 | − | 1.25738i | −0.0753677 | − | 0.0435136i | ||||
\(836\) | −2.61501 | − | 20.7083i | −0.0904421 | − | 0.716212i | ||||
\(837\) | 3.17436 | + | 49.5817i | 0.109722 | + | 1.71379i | ||||
\(838\) | 13.1391 | − | 36.0994i | 0.453883 | − | 1.24703i | ||||
\(839\) | −9.41918 | − | 3.42830i | −0.325186 | − | 0.118358i | 0.174268 | − | 0.984698i | \(-0.444244\pi\) |
−0.499455 | + | 0.866340i | \(0.666466\pi\) | |||||||
\(840\) | 4.17512 | − | 12.2791i | 0.144055 | − | 0.423671i | ||||
\(841\) | 9.98458 | + | 3.63409i | 0.344296 | + | 0.125313i | ||||
\(842\) | −0.635512 | − | 1.74605i | −0.0219012 | − | 0.0601730i | ||||
\(843\) | −18.3156 | − | 14.7150i | −0.630823 | − | 0.506813i | ||||
\(844\) | 25.0886i | 0.863585i | ||||||||
\(845\) | −5.66801 | − | 15.5727i | −0.194986 | − | 0.535718i | ||||
\(846\) | −0.900654 | − | 21.1175i | −0.0309651 | − | 0.726036i | ||||
\(847\) | 14.1493 | + | 24.5073i | 0.486176 | + | 0.842082i | ||||
\(848\) | −3.12216 | − | 5.40774i | −0.107216 | − | 0.185703i | ||||
\(849\) | 8.28958 | − | 7.26237i | 0.284498 | − | 0.249244i | ||||
\(850\) | −6.09474 | + | 16.7452i | −0.209048 | + | 0.574355i | ||||
\(851\) | −0.643288 | + | 3.64827i | −0.0220516 | + | 0.125061i | ||||
\(852\) | 0.283465 | − | 0.516070i | 0.00971134 | − | 0.0176803i | ||||
\(853\) | 26.1211 | − | 21.9182i | 0.894368 | − | 0.750464i | −0.0747131 | − | 0.997205i | \(-0.523804\pi\) |
0.969081 | + | 0.246741i | \(0.0793596\pi\) | |||||||
\(854\) | 4.57596 | 0.156586 | ||||||||
\(855\) | 8.62824 | − | 14.7296i | 0.295080 | − | 0.503742i | ||||
\(856\) | 7.66761 | 0.262074 | ||||||||
\(857\) | −44.0054 | + | 36.9249i | −1.50319 | + | 1.26133i | −0.627349 | + | 0.778738i | \(0.715860\pi\) |
−0.875846 | + | 0.482591i | \(0.839696\pi\) | |||||||
\(858\) | 5.01478 | − | 0.106891i | 0.171202 | − | 0.00364918i | ||||
\(859\) | −5.71944 | + | 32.4366i | −0.195145 | + | 1.10672i | 0.717068 | + | 0.697004i | \(0.245484\pi\) |
−0.912212 | + | 0.409718i | \(0.865627\pi\) | |||||||
\(860\) | 1.49967 | − | 4.12032i | 0.0511385 | − | 0.140502i | ||||
\(861\) | −3.91247 | − | 19.7213i | −0.133337 | − | 0.672101i | ||||
\(862\) | −9.18651 | − | 15.9115i | −0.312894 | − | 0.541948i | ||||
\(863\) | 3.45960 | + | 5.99221i | 0.117766 | + | 0.203977i | 0.918882 | − | 0.394532i | \(-0.129093\pi\) |
−0.801116 | + | 0.598509i | \(0.795760\pi\) | |||||||
\(864\) | 22.7594 | − | 9.97328i | 0.774291 | − | 0.339298i | ||||
\(865\) | −0.315367 | − | 0.866463i | −0.0107228 | − | 0.0294606i | ||||
\(866\) | 14.3986i | 0.489286i | ||||||||
\(867\) | −2.79859 | + | 18.1219i | −0.0950450 | + | 0.615451i | ||||
\(868\) | 5.82760 | + | 16.0112i | 0.197802 | + | 0.543455i | ||||
\(869\) | −66.8149 | − | 24.3186i | −2.26654 | − | 0.824953i | ||||
\(870\) | 6.57463 | + | 7.50456i | 0.222901 | + | 0.254429i | ||||
\(871\) | 8.07704 | + | 2.93980i | 0.273680 | + | 0.0996114i | ||||
\(872\) | 11.8533 | − | 32.5666i | 0.401403 | − | 1.10285i | ||||
\(873\) | −6.73965 | + | 1.48701i | −0.228103 | + | 0.0503276i | ||||
\(874\) | −14.8289 | − | 13.7331i | −0.501596 | − | 0.464530i | ||||
\(875\) | −17.7736 | − | 10.2616i | −0.600856 | − | 0.346905i | ||||
\(876\) | 4.47528 | + | 7.38343i | 0.151206 | + | 0.249463i | ||||
\(877\) | −32.8270 | − | 39.1217i | −1.10849 | − | 1.32104i | −0.942232 | − | 0.334962i | \(-0.891277\pi\) |
−0.166256 | − | 0.986083i | \(-0.553168\pi\) | |||||||
\(878\) | 7.83391 | + | 1.38133i | 0.264382 | + | 0.0466176i | ||||
\(879\) | −21.3193 | + | 0.454422i | −0.719082 | + | 0.0153273i | ||||
\(880\) | −6.28982 | − | 5.27779i | −0.212030 | − | 0.177914i | ||||
\(881\) | −5.69677 | − | 3.28903i | −0.191929 | − | 0.110810i | 0.400956 | − | 0.916097i | \(-0.368678\pi\) |
−0.592885 | + | 0.805287i | \(0.702011\pi\) | |||||||
\(882\) | −10.0362 | − | 3.17553i | −0.337935 | − | 0.106926i | ||||
\(883\) | −10.4353 | + | 3.79815i | −0.351177 | + | 0.127818i | −0.511585 | − | 0.859233i | \(-0.670941\pi\) |
0.160408 | + | 0.987051i | \(0.448719\pi\) | |||||||
\(884\) | −0.473786 | + | 2.68697i | −0.0159351 | + | 0.0903727i | ||||
\(885\) | −5.37462 | − | 13.8415i | −0.180666 | − | 0.465277i | ||||
\(886\) | − | 4.45100i | − | 0.149534i | ||||||
\(887\) | −25.8607 | + | 9.41252i | −0.868317 | + | 0.316042i | −0.737485 | − | 0.675363i | \(-0.763987\pi\) |
−0.130832 | + | 0.991405i | \(0.541765\pi\) | |||||||
\(888\) | 3.77911 | + | 2.07577i | 0.126819 | + | 0.0696584i | ||||
\(889\) | 2.01463 | + | 5.53515i | 0.0675685 | + | 0.185643i | ||||
\(890\) | −3.48344 | + | 0.614224i | −0.116765 | + | 0.0205888i | ||||
\(891\) | −37.5961 | + | 26.2121i | −1.25952 | + | 0.878138i | ||||
\(892\) | − | 10.8163i | − | 0.362155i | ||||||
\(893\) | −3.73768 | − | 29.5987i | −0.125077 | − | 0.990483i | ||||
\(894\) | −11.6704 | − | 30.0554i | −0.390318 | − | 1.00520i | ||||
\(895\) | −26.0165 | + | 4.58740i | −0.869634 | + | 0.153340i | ||||
\(896\) | 2.83654 | − | 2.38014i | 0.0947623 | − | 0.0795150i | ||||
\(897\) | −3.24184 | + | 2.84012i | −0.108242 | + | 0.0948290i | ||||
\(898\) | 5.84498 | + | 33.1485i | 0.195049 | + | 1.10618i | ||||
\(899\) | −40.3635 | − | 7.11717i | −1.34620 | − | 0.237371i | ||||
\(900\) | −2.00320 | − | 9.07922i | −0.0667734 | − | 0.302641i | ||||
\(901\) | −22.9963 | + | 13.2769i | −0.766117 | + | 0.442318i | ||||
\(902\) | −31.6219 | − | 5.57579i | −1.05289 | − | 0.185654i | ||||
\(903\) | 11.1006 | + | 3.77439i | 0.369405 | + | 0.125604i | ||||
\(904\) | 9.21126 | − | 15.9544i | 0.306362 | − | 0.530635i | ||||
\(905\) | 16.7933 | 0.558230 | ||||||||
\(906\) | 15.3114 | + | 17.4771i | 0.508686 | + | 0.580636i | ||||
\(907\) | 30.7635 | − | 5.42444i | 1.02149 | − | 0.180115i | 0.362273 | − | 0.932072i | \(-0.382001\pi\) |
0.659213 | + | 0.751957i | \(0.270890\pi\) | |||||||
\(908\) | −15.1123 | − | 12.6807i | −0.501519 | − | 0.420824i | ||||
\(909\) | 9.47329 | + | 22.9360i | 0.314209 | + | 0.760739i | ||||
\(910\) | 1.32201 | + | 0.481173i | 0.0438243 | + | 0.0159507i | ||||
\(911\) | 22.3311 | − | 38.6787i | 0.739864 | − | 1.28148i | −0.212693 | − | 0.977119i | \(-0.568223\pi\) |
0.952556 | − | 0.304362i | \(-0.0984434\pi\) | |||||||
\(912\) | −8.20126 | + | 4.43777i | −0.271571 | + | 0.146949i | ||||
\(913\) | −20.4887 | − | 35.4876i | −0.678079 | − | 1.17447i | ||||
\(914\) | 0.862960 | + | 4.89409i | 0.0285442 | + | 0.161882i | ||||
\(915\) | −4.53560 | + | 2.74914i | −0.149942 | + | 0.0908837i | ||||
\(916\) | −6.67016 | + | 2.42774i | −0.220388 | + | 0.0802148i | ||||
\(917\) | 15.7480 | + | 18.7678i | 0.520046 | + | 0.619767i | ||||
\(918\) | 11.2759 | + | 25.7321i | 0.372160 | + | 0.849285i | ||||
\(919\) | 21.0986 | − | 36.5438i | 0.695978 | − | 1.20547i | −0.273872 | − | 0.961766i | \(-0.588305\pi\) |
0.969850 | − | 0.243703i | \(-0.0783621\pi\) | |||||||
\(920\) | 17.7978 | 0.586775 | ||||||||
\(921\) | −4.74732 | − | 5.41879i | −0.156429 | − | 0.178555i | ||||
\(922\) | −13.3621 | + | 15.9243i | −0.440056 | + | 0.524439i | ||||
\(923\) | 0.172956 | + | 0.0998563i | 0.00569292 | + | 0.00328681i | ||||
\(924\) | −9.84438 | + | 12.2532i | −0.323856 | + | 0.403099i | ||||
\(925\) | 1.74237 | − | 2.07647i | 0.0572887 | − | 0.0682740i | ||||
\(926\) | 32.0195 | − | 26.8676i | 1.05223 | − | 0.882923i | ||||
\(927\) | 35.4520 | − | 22.5352i | 1.16440 | − | 0.740152i | ||||
\(928\) | 3.55960 | + | 20.1875i | 0.116850 | + | 0.662687i | ||||
\(929\) | 18.2757 | + | 21.7801i | 0.599606 | + | 0.714583i | 0.977422 | − | 0.211298i | \(-0.0677690\pi\) |
−0.377815 | + | 0.925881i | \(0.623325\pi\) | |||||||
\(930\) | 17.3492 | + | 13.9386i | 0.568904 | + | 0.457066i | ||||
\(931\) | −14.4885 | − | 3.29247i | −0.474841 | − | 0.107906i | ||||
\(932\) | 22.8913 | − | 13.2163i | 0.749831 | − | 0.432915i | ||||
\(933\) | 22.8742 | − | 13.8646i | 0.748869 | − | 0.453908i | ||||
\(934\) | 2.86425 | − | 7.86947i | 0.0937212 | − | 0.257497i | ||||
\(935\) | −22.4436 | + | 26.7473i | −0.733985 | + | 0.874729i | ||||
\(936\) | 1.91498 | + | 4.63640i | 0.0625931 | + | 0.151546i | ||||
\(937\) | 4.63709 | − | 26.2982i | 0.151487 | − | 0.859126i | −0.810440 | − | 0.585821i | \(-0.800772\pi\) |
0.961927 | − | 0.273305i | \(-0.0881168\pi\) | |||||||
\(938\) | 26.2864 | − | 15.1764i | 0.858280 | − | 0.495528i | ||||
\(939\) | −11.0079 | + | 4.27432i | −0.359228 | + | 0.139487i | ||||
\(940\) | 6.43604 | + | 5.40048i | 0.209920 | + | 0.176144i | ||||
\(941\) | −11.4393 | − | 9.59873i | −0.372911 | − | 0.312910i | 0.437001 | − | 0.899461i | \(-0.356041\pi\) |
−0.809912 | + | 0.586552i | \(0.800485\pi\) | |||||||
\(942\) | 30.5620 | + | 24.5539i | 0.995762 | + | 0.800010i | ||||
\(943\) | 23.8941 | − | 13.7953i | 0.778099 | − | 0.449235i | ||||
\(944\) | −1.40846 | + | 7.98776i | −0.0458414 | + | 0.259980i | ||||
\(945\) | −12.4910 | + | 3.03649i | −0.406332 | + | 0.0987770i | ||||
\(946\) | 12.0362 | − | 14.3441i | 0.391329 | − | 0.466368i | ||||
\(947\) | −0.470350 | + | 1.29228i | −0.0152843 | + | 0.0419933i | −0.947100 | − | 0.320938i | \(-0.896002\pi\) |
0.931816 | + | 0.362931i | \(0.118224\pi\) | |||||||
\(948\) | −0.484612 | − | 22.7356i | −0.0157395 | − | 0.738418i | ||||
\(949\) | −2.53615 | + | 1.46425i | −0.0823270 | + | 0.0475315i | ||||
\(950\) | 4.37244 | + | 14.1276i | 0.141861 | + | 0.458359i | ||||
\(951\) | −2.48817 | + | 16.1118i | −0.0806843 | + | 0.522461i | ||||
\(952\) | 19.3655 | + | 23.0789i | 0.627639 | + | 0.747992i | ||||
\(953\) | 2.83477 | + | 16.0768i | 0.0918272 | + | 0.520778i | 0.995674 | + | 0.0929206i | \(0.0296203\pi\) |
−0.903846 | + | 0.427857i | \(0.859269\pi\) | |||||||
\(954\) | −7.22321 | + | 13.8415i | −0.233860 | + | 0.448136i | ||||
\(955\) | 3.68795 | − | 3.09456i | 0.119339 | − | 0.100138i | ||||
\(956\) | −16.2189 | + | 19.3289i | −0.524556 | + | 0.625141i | ||||
\(957\) | −13.6856 | − | 35.2450i | −0.442391 | − | 1.13931i | ||||
\(958\) | −12.1164 | − | 6.99538i | −0.391462 | − | 0.226011i | ||||
\(959\) | 10.3768 | − | 12.3666i | 0.335085 | − | 0.399339i | ||||
\(960\) | 5.38118 | − | 15.8262i | 0.173677 | − | 0.510788i | ||||
\(961\) | −60.4230 | −1.94913 | ||||||||
\(962\) | −0.233852 | + | 0.405043i | −0.00753969 | + | 0.0130591i | ||||
\(963\) | −4.07688 | − | 6.41369i | −0.131376 | − | 0.206678i | ||||
\(964\) | 3.46705 | + | 4.13187i | 0.111666 | + | 0.133078i | ||||
\(965\) | −20.9004 | + | 7.60712i | −0.672808 | + | 0.244882i | ||||
\(966\) | 0.324337 | + | 15.2163i | 0.0104354 | + | 0.489576i | ||||
\(967\) | 1.18925 | + | 6.74459i | 0.0382438 | + | 0.216891i | 0.997940 | − | 0.0641464i | \(-0.0204325\pi\) |
−0.959697 | + | 0.281038i | \(0.909321\pi\) | |||||||
\(968\) | 22.5989 | + | 39.1424i | 0.726355 | + | 1.25808i | ||||
\(969\) | 18.8715 | + | 34.8756i | 0.606240 | + | 1.12037i | ||||
\(970\) | −1.54577 | + | 2.67736i | −0.0496318 | + | 0.0859648i | ||||
\(971\) | 5.18519 | + | 1.88725i | 0.166401 | + | 0.0605648i | 0.423877 | − | 0.905720i | \(-0.360669\pi\) |
−0.257477 | + | 0.966285i | \(0.582891\pi\) | |||||||
\(972\) | −12.1673 | − | 8.17445i | −0.390267 | − | 0.262196i | ||||
\(973\) | −4.60545 | − | 3.86443i | −0.147644 | − | 0.123888i | ||||
\(974\) | 0.642500 | − | 0.113290i | 0.0205870 | − | 0.00363005i | ||||
\(975\) | 3.09335 | − | 0.613682i | 0.0990664 | − | 0.0196535i | ||||
\(976\) | 2.89718 | 0.0927365 | ||||||||
\(977\) | 2.48980 | − | 4.31246i | 0.0796557 | − | 0.137968i | −0.823446 | − | 0.567395i | \(-0.807951\pi\) |
0.903101 | + | 0.429427i | \(0.141285\pi\) | |||||||
\(978\) | 1.67831 | + | 8.45975i | 0.0536665 | + | 0.270513i | ||||
\(979\) | 13.2006 | + | 2.32762i | 0.421892 | + | 0.0743910i | ||||
\(980\) | 3.62363 | − | 2.09210i | 0.115753 | − | 0.0668298i | ||||
\(981\) | −33.5433 | + | 7.40085i | −1.07095 | + | 0.236291i | ||||
\(982\) | 5.26405 | + | 0.928194i | 0.167983 | + | 0.0296198i | ||||
\(983\) | 6.20132 | + | 35.1694i | 0.197791 | + | 1.12173i | 0.908387 | + | 0.418130i | \(0.137314\pi\) |
−0.710596 | + | 0.703601i | \(0.751574\pi\) | |||||||
\(984\) | −6.24888 | − | 31.4983i | −0.199207 | − | 1.00413i | ||||
\(985\) | 15.8673 | − | 13.3142i | 0.505573 | − | 0.424226i | ||||
\(986\) | −22.8242 | + | 4.02453i | −0.726871 | + | 0.128167i | ||||
\(987\) | −14.0707 | + | 17.5136i | −0.447876 | + | 0.557465i | ||||
\(988\) | 1.03492 | + | 2.01398i | 0.0329251 | + | 0.0640733i | ||||
\(989\) | 16.0895i | 0.511618i | ||||||||
\(990\) | −2.70021 | + | 20.3513i | −0.0858182 | + | 0.646808i | ||||
\(991\) | −46.6422 | + | 8.22428i | −1.48164 | + | 0.261253i | −0.855232 | − | 0.518245i | \(-0.826586\pi\) |
−0.626405 | + | 0.779497i | \(0.715475\pi\) | |||||||
\(992\) | 15.6387 | + | 42.9670i | 0.496530 | + | 1.36420i | ||||
\(993\) | 51.3433 | − | 31.1204i | 1.62933 | − | 0.987576i | ||||
\(994\) | 0.662712 | − | 0.241207i | 0.0210200 | − | 0.00765064i | ||||
\(995\) | 23.5960i | 0.748043i | ||||||||
\(996\) | 8.20838 | − | 10.2169i | 0.260093 | − | 0.323734i | ||||
\(997\) | −2.55812 | + | 14.5078i | −0.0810166 | + | 0.459468i | 0.917129 | + | 0.398591i | \(0.130501\pi\) |
−0.998145 | + | 0.0608768i | \(0.980610\pi\) | |||||||
\(998\) | 0.203511 | − | 0.0740718i | 0.00644202 | − | 0.00234470i | ||||
\(999\) | −0.273044 | − | 4.26479i | −0.00863872 | − | 0.134932i |
(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 | 171.2.x.a.110.7 | yes | 108 | |
3.2 | odd | 2 | 513.2.bo.a.224.12 | 108 | |||
9.4 | even | 3 | 513.2.cd.a.395.7 | 108 | |||
9.5 | odd | 6 | 171.2.bd.a.167.12 | yes | 108 | ||
19.14 | odd | 18 | 171.2.bd.a.128.12 | yes | 108 | ||
57.14 | even | 18 | 513.2.cd.a.413.7 | 108 | |||
171.14 | even | 18 | inner | 171.2.x.a.14.7 | ✓ | 108 | |
171.166 | odd | 18 | 513.2.bo.a.71.12 | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.2.x.a.14.7 | ✓ | 108 | 171.14 | even | 18 | inner | |
171.2.x.a.110.7 | yes | 108 | 1.1 | even | 1 | trivial | |
171.2.bd.a.128.12 | yes | 108 | 19.14 | odd | 18 | ||
171.2.bd.a.167.12 | yes | 108 | 9.5 | odd | 6 | ||
513.2.bo.a.71.12 | 108 | 171.166 | odd | 18 | |||
513.2.bo.a.224.12 | 108 | 3.2 | odd | 2 | |||
513.2.cd.a.395.7 | 108 | 9.4 | even | 3 | |||
513.2.cd.a.413.7 | 108 | 57.14 | even | 18 |