Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(7,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(114))
chi = DirichletCharacter(H, H._module([50]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.i (of order \(57\), degree \(36\), 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{57})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{57}]$ |
Embedding invariants
Embedding label | 501.10 | ||
Character | \(\chi\) | \(=\) | 722.501 |
Dual form | 722.2.i.a.49.10 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{7}{57}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.926494 | + | 0.376309i | 0.655130 | + | 0.266091i | ||||
\(3\) | 0.723904 | + | 0.162231i | 0.417946 | + | 0.0936639i | 0.422581 | − | 0.906325i | \(-0.361124\pi\) |
−0.00463447 | + | 0.999989i | \(0.501475\pi\) | |||||||
\(4\) | 0.716783 | + | 0.697297i | 0.358391 | + | 0.348648i | ||||
\(5\) | −0.0796394 | − | 2.88917i | −0.0356158 | − | 1.29208i | −0.780616 | − | 0.625011i | \(-0.785095\pi\) |
0.745000 | − | 0.667064i | \(-0.232449\pi\) | |||||||
\(6\) | 0.609644 | + | 0.422718i | 0.248886 | + | 0.172574i | ||||
\(7\) | −0.647301 | − | 2.55613i | −0.244657 | − | 0.966128i | −0.962796 | − | 0.270228i | \(-0.912901\pi\) |
0.718140 | − | 0.695899i | \(-0.244994\pi\) | |||||||
\(8\) | 0.401695 | + | 0.915773i | 0.142021 | + | 0.323775i | ||||
\(9\) | −2.21535 | − | 1.04545i | −0.738451 | − | 0.348483i | ||||
\(10\) | 1.01344 | − | 2.70677i | 0.320476 | − | 0.855954i | ||||
\(11\) | −0.119965 | + | 1.44777i | −0.0361710 | + | 0.436519i | 0.954305 | + | 0.298834i | \(0.0965976\pi\) |
−0.990476 | + | 0.137685i | \(0.956034\pi\) | |||||||
\(12\) | 0.405759 | + | 0.621060i | 0.117132 | + | 0.179285i | ||||
\(13\) | 0.0137563 | + | 0.0439813i | 0.00381530 | + | 0.0121982i | 0.956293 | − | 0.292410i | \(-0.0944571\pi\) |
−0.952478 | + | 0.304608i | \(0.901475\pi\) | |||||||
\(14\) | 0.362177 | − | 2.61183i | 0.0967957 | − | 0.698040i | ||||
\(15\) | 0.411060 | − | 2.10440i | 0.106135 | − | 0.543354i | ||||
\(16\) | 0.0275543 | + | 0.999620i | 0.00688859 | + | 0.249905i | ||||
\(17\) | 2.65106 | − | 2.57900i | 0.642978 | − | 0.625498i | −0.301737 | − | 0.953391i | \(-0.597567\pi\) |
0.944715 | + | 0.327893i | \(0.106338\pi\) | |||||||
\(18\) | −1.65910 | − | 1.80226i | −0.391053 | − | 0.424797i | ||||
\(19\) | 2.81823 | − | 3.32529i | 0.646547 | − | 0.762874i | ||||
\(20\) | 1.95752 | − | 2.12644i | 0.437716 | − | 0.475486i | ||||
\(21\) | −0.0539004 | − | 1.95541i | −0.0117620 | − | 0.426705i | ||||
\(22\) | −0.655956 | + | 1.29620i | −0.139850 | + | 0.276352i | ||||
\(23\) | 5.31850 | − | 1.19190i | 1.10898 | − | 0.248529i | 0.374548 | − | 0.927208i | \(-0.377798\pi\) |
0.734435 | + | 0.678679i | \(0.237447\pi\) | |||||||
\(24\) | 0.142222 | + | 0.728099i | 0.0290310 | + | 0.148623i | ||||
\(25\) | −3.34854 | + | 0.184744i | −0.669708 | + | 0.0369488i | ||||
\(26\) | −0.00380545 | + | 0.0459250i | −0.000746311 | + | 0.00900663i | ||||
\(27\) | −3.19039 | − | 2.48318i | −0.613992 | − | 0.477889i | ||||
\(28\) | 1.31841 | − | 2.28355i | 0.249156 | − | 0.431551i | ||||
\(29\) | −3.33804 | − | 0.943908i | −0.619859 | − | 0.175279i | −0.0523258 | − | 0.998630i | \(-0.516663\pi\) |
−0.567533 | + | 0.823351i | \(0.692102\pi\) | |||||||
\(30\) | 1.17275 | − | 1.79503i | 0.214114 | − | 0.327726i | ||||
\(31\) | −2.56526 | − | 1.99662i | −0.460735 | − | 0.358604i | 0.357092 | − | 0.934069i | \(-0.383768\pi\) |
−0.817826 | + | 0.575465i | \(0.804821\pi\) | |||||||
\(32\) | −0.350638 | + | 0.936511i | −0.0619845 | + | 0.165553i | ||||
\(33\) | −0.321716 | + | 1.02858i | −0.0560036 | + | 0.179053i | ||||
\(34\) | 3.42670 | − | 1.39180i | 0.587674 | − | 0.238692i | ||||
\(35\) | −7.33355 | + | 2.07373i | −1.23960 | + | 0.350524i | ||||
\(36\) | −0.858937 | − | 2.29412i | −0.143156 | − | 0.382353i | ||||
\(37\) | −0.864791 | + | 10.4365i | −0.142171 | + | 1.71575i | 0.436097 | + | 0.899900i | \(0.356361\pi\) |
−0.578268 | + | 0.815847i | \(0.696271\pi\) | |||||||
\(38\) | 3.86242 | − | 2.02033i | 0.626567 | − | 0.327741i | ||||
\(39\) | 0.00282311 | + | 0.0340699i | 0.000452060 | + | 0.00545555i | ||||
\(40\) | 2.61383 | − | 1.23350i | 0.413283 | − | 0.195033i | ||||
\(41\) | 3.11267 | + | 2.71082i | 0.486117 | + | 0.423360i | 0.864762 | − | 0.502183i | \(-0.167469\pi\) |
−0.378645 | + | 0.925542i | \(0.623610\pi\) | |||||||
\(42\) | 0.685900 | − | 1.83196i | 0.105837 | − | 0.282677i | ||||
\(43\) | −0.886181 | − | 2.36688i | −0.135141 | − | 0.360946i | 0.851387 | − | 0.524538i | \(-0.175762\pi\) |
−0.986528 | + | 0.163592i | \(0.947692\pi\) | |||||||
\(44\) | −1.09551 | + | 0.954083i | −0.165155 | + | 0.143833i | ||||
\(45\) | −2.84405 | + | 6.48379i | −0.423966 | + | 0.966546i | ||||
\(46\) | 5.37608 | + | 0.897109i | 0.792660 | + | 0.132272i | ||||
\(47\) | −2.62346 | − | 1.81907i | −0.382672 | − | 0.265339i | 0.362812 | − | 0.931862i | \(-0.381817\pi\) |
−0.745484 | + | 0.666524i | \(0.767782\pi\) | |||||||
\(48\) | −0.142222 | + | 0.728099i | −0.0205280 | + | 0.105092i | ||||
\(49\) | 0.0414974 | − | 0.0224572i | 0.00592819 | − | 0.00320818i | ||||
\(50\) | −3.17192 | − | 1.08892i | −0.448578 | − | 0.153997i | ||||
\(51\) | 2.33751 | − | 1.43686i | 0.327317 | − | 0.201201i | ||||
\(52\) | −0.0208077 | + | 0.0411172i | −0.00288551 | + | 0.00570193i | ||||
\(53\) | 1.23408 | + | 0.855691i | 0.169514 | + | 0.117538i | 0.651526 | − | 0.758626i | \(-0.274129\pi\) |
−0.482012 | + | 0.876164i | \(0.660094\pi\) | |||||||
\(54\) | −2.02144 | − | 3.50123i | −0.275083 | − | 0.476457i | ||||
\(55\) | 4.19240 | + | 0.231301i | 0.565303 | + | 0.0311886i | ||||
\(56\) | 2.08082 | − | 1.61957i | 0.278061 | − | 0.216424i | ||||
\(57\) | 2.57960 | − | 1.94999i | 0.341676 | − | 0.258282i | ||||
\(58\) | −2.73747 | − | 2.13066i | −0.359448 | − | 0.279770i | ||||
\(59\) | 6.70943 | + | 5.84325i | 0.873494 | + | 0.760726i | 0.972141 | − | 0.234396i | \(-0.0753112\pi\) |
−0.0986473 | + | 0.995122i | \(0.531452\pi\) | |||||||
\(60\) | 1.76203 | − | 1.22177i | 0.227477 | − | 0.157729i | ||||
\(61\) | 5.14533 | + | 7.00047i | 0.658792 | + | 0.896319i | 0.999031 | − | 0.0440205i | \(-0.0140167\pi\) |
−0.340239 | + | 0.940339i | \(0.610508\pi\) | |||||||
\(62\) | −1.62535 | − | 2.81519i | −0.206420 | − | 0.357530i | ||||
\(63\) | −1.23831 | + | 6.33946i | −0.156012 | + | 0.798697i | ||||
\(64\) | −0.677282 | + | 0.735724i | −0.0846602 | + | 0.0919655i | ||||
\(65\) | 0.125974 | − | 0.0432468i | 0.0156251 | − | 0.00536411i | ||||
\(66\) | −0.685133 | + | 0.831911i | −0.0843341 | + | 0.102401i | ||||
\(67\) | 5.99241 | + | 0.663239i | 0.732089 | + | 0.0810276i | 0.468321 | − | 0.883559i | \(-0.344859\pi\) |
0.263768 | + | 0.964586i | \(0.415035\pi\) | |||||||
\(68\) | 3.69856 | 0.448517 | ||||||||
\(69\) | 4.04344 | 0.486773 | ||||||||
\(70\) | −7.57485 | − | 0.838384i | −0.905368 | − | 0.100206i | ||||
\(71\) | −8.15384 | + | 11.0937i | −0.967683 | + | 1.31658i | −0.0191790 | + | 0.999816i | \(0.506105\pi\) |
−0.948504 | + | 0.316764i | \(0.897404\pi\) | |||||||
\(72\) | 0.0674983 | − | 2.44871i | 0.00795476 | − | 0.288584i | ||||
\(73\) | 3.48324 | − | 3.38854i | 0.407682 | − | 0.396599i | −0.464665 | − | 0.885487i | \(-0.653825\pi\) |
0.872347 | + | 0.488888i | \(0.162597\pi\) | |||||||
\(74\) | −4.72857 | + | 9.34391i | −0.549685 | + | 1.08621i | ||||
\(75\) | −2.45399 | − | 0.409499i | −0.283363 | − | 0.0472849i | ||||
\(76\) | 4.33878 | − | 0.418364i | 0.497692 | − | 0.0479896i | ||||
\(77\) | 3.77834 | − | 0.630494i | 0.430582 | − | 0.0718514i | ||||
\(78\) | −0.0102052 | + | 0.0326279i | −0.00115551 | + | 0.00369439i | ||||
\(79\) | −1.03959 | − | 2.77662i | −0.116963 | − | 0.312394i | 0.864912 | − | 0.501923i | \(-0.167374\pi\) |
−0.981875 | + | 0.189529i | \(0.939304\pi\) | |||||||
\(80\) | 2.88588 | − | 0.159218i | 0.322651 | − | 0.0178011i | ||||
\(81\) | 2.76520 | + | 3.35760i | 0.307245 | + | 0.373066i | ||||
\(82\) | 1.86376 | + | 3.68289i | 0.205818 | + | 0.406707i | ||||
\(83\) | −4.88406 | + | 2.64312i | −0.536095 | + | 0.290120i | −0.721350 | − | 0.692570i | \(-0.756478\pi\) |
0.185256 | + | 0.982690i | \(0.440689\pi\) | |||||||
\(84\) | 1.32486 | − | 1.43919i | 0.144555 | − | 0.157028i | ||||
\(85\) | −7.66228 | − | 7.45398i | −0.831091 | − | 0.808498i | ||||
\(86\) | 0.0696392 | − | 2.52638i | 0.00750939 | − | 0.272427i | ||||
\(87\) | −2.26329 | − | 1.22483i | −0.242650 | − | 0.131316i | ||||
\(88\) | −1.37402 | + | 0.471701i | −0.146471 | + | 0.0502835i | ||||
\(89\) | −4.81196 | − | 4.68115i | −0.510067 | − | 0.496201i | 0.396633 | − | 0.917977i | \(-0.370179\pi\) |
−0.906700 | + | 0.421777i | \(0.861407\pi\) | |||||||
\(90\) | −5.07491 | + | 4.93695i | −0.534942 | + | 0.520400i | ||||
\(91\) | 0.103518 | − | 0.0636320i | 0.0108516 | − | 0.00667044i | ||||
\(92\) | 4.64332 | + | 2.85424i | 0.484099 | + | 0.297575i | ||||
\(93\) | −1.53309 | − | 1.86153i | −0.158974 | − | 0.193031i | ||||
\(94\) | −1.74609 | − | 2.67259i | −0.180096 | − | 0.275657i | ||||
\(95\) | −9.83176 | − | 7.87753i | −1.00872 | − | 0.808217i | ||||
\(96\) | −0.405759 | + | 0.621060i | −0.0414126 | + | 0.0633867i | ||||
\(97\) | 13.4169 | − | 1.48498i | 1.36228 | − | 0.150777i | 0.601023 | − | 0.799232i | \(-0.294760\pi\) |
0.761253 | + | 0.648455i | \(0.224584\pi\) | |||||||
\(98\) | 0.0468979 | − | 0.00519066i | 0.00473741 | − | 0.000524336i | ||||
\(99\) | 1.77934 | − | 3.08190i | 0.178830 | − | 0.309743i | ||||
\(100\) | −2.52900 | − | 2.20250i | −0.252900 | − | 0.220250i | ||||
\(101\) | 4.29974 | + | 2.02909i | 0.427840 | + | 0.201902i | 0.628585 | − | 0.777741i | \(-0.283635\pi\) |
−0.200745 | + | 0.979644i | \(0.564336\pi\) | |||||||
\(102\) | 2.70639 | − | 0.451617i | 0.267973 | − | 0.0447167i | ||||
\(103\) | −1.27101 | + | 5.01909i | −0.125236 | + | 0.494546i | 0.874715 | + | 0.484638i | \(0.161049\pi\) |
−0.999951 | + | 0.00990787i | \(0.996846\pi\) | |||||||
\(104\) | −0.0347510 | + | 0.0302647i | −0.00340762 | + | 0.00296770i | ||||
\(105\) | −5.64521 | + | 0.311455i | −0.550916 | + | 0.0303949i | ||||
\(106\) | 0.821362 | + | 1.25719i | 0.0797777 | + | 0.122109i | ||||
\(107\) | 1.00779 | − | 0.784391i | 0.0974263 | − | 0.0758299i | −0.564328 | − | 0.825551i | \(-0.690865\pi\) |
0.661755 | + | 0.749721i | \(0.269812\pi\) | |||||||
\(108\) | −0.555303 | − | 4.00455i | −0.0534340 | − | 0.385338i | ||||
\(109\) | −16.4798 | + | 11.4269i | −1.57848 | + | 1.09450i | −0.630493 | + | 0.776195i | \(0.717147\pi\) |
−0.947990 | + | 0.318300i | \(0.896888\pi\) | |||||||
\(110\) | 3.79719 | + | 1.79194i | 0.362048 | + | 0.170855i | ||||
\(111\) | −2.31914 | + | 7.41471i | −0.220123 | + | 0.703774i | ||||
\(112\) | 2.53733 | − | 0.717488i | 0.239755 | − | 0.0677962i | ||||
\(113\) | −4.20809 | + | 16.6174i | −0.395864 | + | 1.56323i | 0.375491 | + | 0.926826i | \(0.377474\pi\) |
−0.771355 | + | 0.636405i | \(0.780421\pi\) | |||||||
\(114\) | 3.12378 | − | 0.835925i | 0.292569 | − | 0.0782916i | ||||
\(115\) | −3.86717 | − | 15.2711i | −0.360615 | − | 1.42404i | ||||
\(116\) | −1.73447 | − | 3.00418i | −0.161041 | − | 0.278931i | ||||
\(117\) | 0.0155052 | − | 0.111816i | 0.00143346 | − | 0.0103374i | ||||
\(118\) | 4.01738 | + | 7.93856i | 0.369830 | + | 0.730804i | ||||
\(119\) | −8.30829 | − | 5.10709i | −0.761620 | − | 0.468166i | ||||
\(120\) | 2.09227 | − | 0.468890i | 0.190998 | − | 0.0428036i | ||||
\(121\) | 8.76833 | + | 1.46318i | 0.797121 | + | 0.133016i | ||||
\(122\) | 2.13277 | + | 8.42213i | 0.193092 | + | 0.762504i | ||||
\(123\) | 1.81349 | + | 2.46735i | 0.163517 | + | 0.222473i | ||||
\(124\) | −0.446496 | − | 3.21989i | −0.0400965 | − | 0.289155i | ||||
\(125\) | −0.392949 | − | 4.74219i | −0.0351464 | − | 0.424154i | ||||
\(126\) | −3.53289 | + | 5.40748i | −0.314734 | + | 0.481737i | ||||
\(127\) | 3.46660 | − | 6.00433i | 0.307611 | − | 0.532798i | −0.670228 | − | 0.742155i | \(-0.733804\pi\) |
0.977839 | + | 0.209357i | \(0.0671371\pi\) | |||||||
\(128\) | −0.904357 | + | 0.426776i | −0.0799346 | + | 0.0377221i | ||||
\(129\) | −0.257529 | − | 1.85716i | −0.0226741 | − | 0.163514i | ||||
\(130\) | 0.132988 | + | 0.00733716i | 0.0116638 | + | 0.000643511i | ||||
\(131\) | −0.315426 | + | 2.27469i | −0.0275589 | + | 0.198740i | −0.999304 | − | 0.0372905i | \(-0.988127\pi\) |
0.971746 | + | 0.236031i | \(0.0758466\pi\) | |||||||
\(132\) | −0.947828 | + | 0.512939i | −0.0824978 | + | 0.0446456i | ||||
\(133\) | −10.3241 | − | 5.05132i | −0.895216 | − | 0.438005i | ||||
\(134\) | 5.30234 | + | 2.86949i | 0.458053 | + | 0.247886i | ||||
\(135\) | −6.92025 | + | 9.41534i | −0.595600 | + | 0.810344i | ||||
\(136\) | 3.42670 | + | 1.39180i | 0.293837 | + | 0.119346i | ||||
\(137\) | 6.95759 | + | 0.770066i | 0.594427 | + | 0.0657912i | 0.402188 | − | 0.915557i | \(-0.368250\pi\) |
0.192239 | + | 0.981348i | \(0.438425\pi\) | |||||||
\(138\) | 3.74623 | + | 1.52159i | 0.318900 | + | 0.129526i | ||||
\(139\) | 3.52329 | − | 4.27809i | 0.298841 | − | 0.362863i | −0.600871 | − | 0.799346i | \(-0.705180\pi\) |
0.899712 | + | 0.436483i | \(0.143776\pi\) | |||||||
\(140\) | −6.70256 | − | 3.62725i | −0.566470 | − | 0.306558i | ||||
\(141\) | −1.60403 | − | 1.74244i | −0.135083 | − | 0.146740i | ||||
\(142\) | −11.7292 | + | 7.20988i | −0.984289 | + | 0.605040i | ||||
\(143\) | −0.0653250 | + | 0.0146397i | −0.00546275 | + | 0.00122423i | ||||
\(144\) | 0.984011 | − | 2.24332i | 0.0820009 | − | 0.186943i | ||||
\(145\) | −2.46127 | + | 9.71933i | −0.204397 | + | 0.807147i | ||||
\(146\) | 4.50234 | − | 1.82869i | 0.372616 | − | 0.151344i | ||||
\(147\) | 0.0336834 | − | 0.00952474i | 0.00277816 | − | 0.000785588i | ||||
\(148\) | −7.89719 | + | 6.87767i | −0.649145 | + | 0.565341i | ||||
\(149\) | −1.40827 | − | 7.20953i | −0.115370 | − | 0.590628i | −0.993653 | − | 0.112488i | \(-0.964118\pi\) |
0.878284 | − | 0.478140i | \(-0.158689\pi\) | |||||||
\(150\) | −2.11951 | − | 1.30286i | −0.173057 | − | 0.106378i | ||||
\(151\) | −14.9890 | − | 5.14574i | −1.21979 | − | 0.418754i | −0.361719 | − | 0.932287i | \(-0.617810\pi\) |
−0.858070 | + | 0.513533i | \(0.828336\pi\) | |||||||
\(152\) | 4.17728 | + | 1.24511i | 0.338822 | + | 0.100992i | ||||
\(153\) | −8.56926 | + | 2.94183i | −0.692783 | + | 0.237833i | ||||
\(154\) | 3.73787 | + | 0.837677i | 0.301206 | + | 0.0675019i | ||||
\(155\) | −5.56428 | + | 7.57048i | −0.446934 | + | 0.608076i | ||||
\(156\) | −0.0217333 | + | 0.0263893i | −0.00174005 | + | 0.00211283i | ||||
\(157\) | −8.13786 | − | 1.82374i | −0.649472 | − | 0.145550i | −0.118519 | − | 0.992952i | \(-0.537815\pi\) |
−0.530952 | + | 0.847402i | \(0.678166\pi\) | |||||||
\(158\) | 0.0816945 | − | 2.96373i | 0.00649927 | − | 0.235781i | ||||
\(159\) | 0.754535 | + | 0.819643i | 0.0598385 | + | 0.0650020i | ||||
\(160\) | 2.73366 | + | 0.938468i | 0.216115 | + | 0.0741924i | ||||
\(161\) | −6.48933 | − | 12.8233i | −0.511431 | − | 1.01061i | ||||
\(162\) | 1.29845 | + | 4.15137i | 0.102016 | + | 0.326162i | ||||
\(163\) | 16.6365 | − | 12.9487i | 1.30307 | − | 1.01422i | 0.304985 | − | 0.952357i | \(-0.401349\pi\) |
0.998085 | − | 0.0618626i | \(-0.0197041\pi\) | |||||||
\(164\) | 0.340856 | + | 4.11352i | 0.0266164 | + | 0.321212i | ||||
\(165\) | 2.99737 | + | 0.847576i | 0.233345 | + | 0.0659837i | ||||
\(166\) | −5.51968 | + | 0.610918i | −0.428410 | + | 0.0474164i | ||||
\(167\) | 11.3617 | + | 3.21278i | 0.879194 | + | 0.248612i | 0.681647 | − | 0.731681i | \(-0.261264\pi\) |
0.197547 | + | 0.980293i | \(0.436702\pi\) | |||||||
\(168\) | 1.76906 | − | 0.834839i | 0.136486 | − | 0.0644092i | ||||
\(169\) | 10.6814 | − | 7.40629i | 0.821644 | − | 0.569715i | ||||
\(170\) | −4.29405 | − | 9.78946i | −0.329339 | − | 0.750817i | ||||
\(171\) | −9.71981 | + | 4.42037i | −0.743293 | + | 0.338034i | ||||
\(172\) | 1.01522 | − | 2.31447i | 0.0774099 | − | 0.176477i | ||||
\(173\) | 1.91134 | + | 9.78499i | 0.145316 | + | 0.743939i | 0.980890 | + | 0.194561i | \(0.0623282\pi\) |
−0.835574 | + | 0.549378i | \(0.814865\pi\) | |||||||
\(174\) | −1.63601 | − | 1.98650i | −0.124026 | − | 0.150596i | ||||
\(175\) | 2.63974 | + | 8.43973i | 0.199546 | + | 0.637983i | ||||
\(176\) | −1.45052 | − | 0.0800276i | −0.109337 | − | 0.00603231i | ||||
\(177\) | 3.90903 | + | 5.31843i | 0.293821 | + | 0.399758i | ||||
\(178\) | −2.69669 | − | 6.14784i | −0.202126 | − | 0.460800i | ||||
\(179\) | −18.1738 | + | 3.03266i | −1.35837 | + | 0.226672i | −0.798543 | − | 0.601937i | \(-0.794396\pi\) |
−0.559827 | + | 0.828609i | \(0.689133\pi\) | |||||||
\(180\) | −6.55969 | + | 2.66432i | −0.488930 | + | 0.198586i | ||||
\(181\) | 3.87436 | − | 1.57363i | 0.287979 | − | 0.116967i | −0.227747 | − | 0.973720i | \(-0.573136\pi\) |
0.515727 | + | 0.856753i | \(0.327522\pi\) | |||||||
\(182\) | 0.119854 | − | 0.0200000i | 0.00888415 | − | 0.00148250i | ||||
\(183\) | 2.58903 | + | 5.90240i | 0.191387 | + | 0.436318i | ||||
\(184\) | 3.22793 | + | 4.39176i | 0.237966 | + | 0.323764i | ||||
\(185\) | 30.2216 | + | 1.66737i | 2.22194 | + | 0.122588i | ||||
\(186\) | −0.719888 | − | 2.30161i | −0.0527848 | − | 0.168762i | ||||
\(187\) | 3.41575 | + | 4.14752i | 0.249784 | + | 0.303297i | ||||
\(188\) | −0.612022 | − | 3.13321i | −0.0446363 | − | 0.228513i | ||||
\(189\) | −4.28220 | + | 9.76244i | −0.311484 | + | 0.710113i | ||||
\(190\) | −6.14468 | − | 10.9983i | −0.445782 | − | 0.797898i | ||||
\(191\) | 5.73278 | + | 13.0694i | 0.414809 | + | 0.945670i | 0.991667 | + | 0.128826i | \(0.0411208\pi\) |
−0.576858 | + | 0.816845i | \(0.695721\pi\) | |||||||
\(192\) | −0.609644 | + | 0.422718i | −0.0439973 | + | 0.0305070i | ||||
\(193\) | −7.92145 | + | 3.73822i | −0.570199 | + | 0.269083i | −0.690114 | − | 0.723701i | \(-0.742440\pi\) |
0.119915 | + | 0.992784i | \(0.461738\pi\) | |||||||
\(194\) | 12.9895 | + | 3.67307i | 0.932589 | + | 0.263711i | ||||
\(195\) | 0.0982088 | − | 0.0108698i | 0.00703288 | − | 0.000778399i | ||||
\(196\) | 0.0454039 | + | 0.0128390i | 0.00324314 | + | 0.000917072i | ||||
\(197\) | −0.556799 | − | 6.71957i | −0.0396703 | − | 0.478749i | −0.987244 | − | 0.159213i | \(-0.949104\pi\) |
0.947574 | − | 0.319537i | \(-0.103527\pi\) | |||||||
\(198\) | 2.80829 | − | 2.18578i | 0.199577 | − | 0.155337i | ||||
\(199\) | −4.93892 | − | 15.7906i | −0.350110 | − | 1.11937i | −0.948130 | − | 0.317884i | \(-0.897028\pi\) |
0.598019 | − | 0.801482i | \(-0.295955\pi\) | |||||||
\(200\) | −1.51428 | − | 2.99229i | −0.107076 | − | 0.211587i | ||||
\(201\) | 4.23033 | + | 1.45227i | 0.298384 | + | 0.102435i | ||||
\(202\) | 3.22011 | + | 3.49797i | 0.226566 | + | 0.246117i | ||||
\(203\) | −0.252038 | + | 9.14347i | −0.0176896 | + | 0.641746i | ||||
\(204\) | 2.67740 | + | 0.600020i | 0.187456 | + | 0.0420098i | ||||
\(205\) | 7.58413 | − | 9.20890i | 0.529699 | − | 0.643178i | ||||
\(206\) | −3.06631 | + | 4.17187i | −0.213640 | + | 0.290668i | ||||
\(207\) | −13.0284 | − | 2.91974i | −0.905538 | − | 0.202936i | ||||
\(208\) | −0.0435855 | + | 0.0149629i | −0.00302211 | + | 0.00103749i | ||||
\(209\) | 4.47616 | + | 4.47907i | 0.309622 | + | 0.309824i | ||||
\(210\) | −5.34745 | − | 1.83578i | −0.369009 | − | 0.126681i | ||||
\(211\) | 1.05342 | + | 0.647535i | 0.0725205 | + | 0.0445782i | 0.559459 | − | 0.828858i | \(-0.311009\pi\) |
−0.486938 | + | 0.873436i | \(0.661886\pi\) | |||||||
\(212\) | 0.287895 | + | 1.47386i | 0.0197727 | + | 0.101225i | ||||
\(213\) | −7.70234 | + | 6.70797i | −0.527756 | + | 0.459623i | ||||
\(214\) | 1.22888 | − | 0.347494i | 0.0840046 | − | 0.0237542i | ||||
\(215\) | −6.76775 | + | 2.74882i | −0.461557 | + | 0.187468i | ||||
\(216\) | 0.992466 | − | 3.91916i | 0.0675288 | − | 0.266665i | ||||
\(217\) | −3.44314 | + | 7.84957i | −0.233736 | + | 0.532863i | ||||
\(218\) | −19.5685 | + | 4.38541i | −1.32535 | + | 0.297017i | ||||
\(219\) | 3.07125 | − | 1.88789i | 0.207536 | − | 0.127572i | ||||
\(220\) | 2.84375 | + | 3.08914i | 0.191726 | + | 0.208270i | ||||
\(221\) | 0.149896 | + | 0.0811198i | 0.0100831 | + | 0.00545671i | ||||
\(222\) | −4.93890 | + | 5.99697i | −0.331477 | + | 0.402491i | ||||
\(223\) | −6.31079 | − | 2.56322i | −0.422602 | − | 0.171646i | 0.155091 | − | 0.987900i | \(-0.450433\pi\) |
−0.577693 | + | 0.816254i | \(0.696047\pi\) | |||||||
\(224\) | 2.62082 | + | 0.290072i | 0.175111 | + | 0.0193812i | ||||
\(225\) | 7.61134 | + | 3.09146i | 0.507423 | + | 0.206097i | ||||
\(226\) | −10.1520 | + | 13.8124i | −0.675304 | + | 0.918784i | ||||
\(227\) | −6.54666 | − | 3.54287i | −0.434517 | − | 0.235149i | 0.243938 | − | 0.969791i | \(-0.421561\pi\) |
−0.678455 | + | 0.734642i | \(0.737350\pi\) | |||||||
\(228\) | 3.20873 | + | 0.401027i | 0.212503 | + | 0.0265587i | ||||
\(229\) | 25.4528 | − | 13.7744i | 1.68197 | − | 0.910235i | 0.701721 | − | 0.712452i | \(-0.252415\pi\) |
0.980246 | − | 0.197783i | \(-0.0633741\pi\) | |||||||
\(230\) | 2.16375 | − | 15.6038i | 0.142674 | − | 1.02889i | ||||
\(231\) | 2.83744 | + | 0.156546i | 0.186690 | + | 0.0103000i | ||||
\(232\) | −0.476470 | − | 3.43605i | −0.0312818 | − | 0.225588i | ||||
\(233\) | 9.23059 | − | 4.35602i | 0.604716 | − | 0.285372i | −0.0998595 | − | 0.995002i | \(-0.531839\pi\) |
0.704575 | + | 0.709629i | \(0.251138\pi\) | |||||||
\(234\) | 0.0564427 | − | 0.0977617i | 0.00368978 | − | 0.00639088i | ||||
\(235\) | −5.04667 | + | 7.72450i | −0.329208 | + | 0.503891i | ||||
\(236\) | 0.734725 | + | 8.86681i | 0.0478265 | + | 0.577180i | ||||
\(237\) | −0.302110 | − | 2.17866i | −0.0196241 | − | 0.141519i | ||||
\(238\) | −5.77574 | − | 7.85818i | −0.374386 | − | 0.509370i | ||||
\(239\) | −0.464256 | − | 1.83331i | −0.0300303 | − | 0.118587i | 0.952570 | − | 0.304319i | \(-0.0984290\pi\) |
−0.982600 | + | 0.185732i | \(0.940534\pi\) | |||||||
\(240\) | 2.11493 | + | 0.352919i | 0.136518 | + | 0.0227808i | ||||
\(241\) | 24.5590 | − | 5.50379i | 1.58198 | − | 0.354530i | 0.662935 | − | 0.748677i | \(-0.269311\pi\) |
0.919047 | + | 0.394147i | \(0.128960\pi\) | |||||||
\(242\) | 7.57320 | + | 4.65523i | 0.486824 | + | 0.299250i | ||||
\(243\) | 6.93351 | + | 13.7010i | 0.444785 | + | 0.878919i | ||||
\(244\) | −1.19333 | + | 8.60564i | −0.0763948 | + | 0.550919i | ||||
\(245\) | −0.0681876 | − | 0.118104i | −0.00435634 | − | 0.00754541i | ||||
\(246\) | 0.751705 | + | 2.96842i | 0.0479270 | + | 0.189259i | ||||
\(247\) | 0.185019 | + | 0.0782059i | 0.0117725 | + | 0.00497612i | ||||
\(248\) | 0.798000 | − | 3.15123i | 0.0506731 | − | 0.200103i | ||||
\(249\) | −3.96438 | + | 1.12102i | −0.251233 | + | 0.0710418i | ||||
\(250\) | 1.42046 | − | 4.54148i | 0.0898381 | − | 0.287228i | ||||
\(251\) | −24.2162 | − | 11.4279i | −1.52851 | − | 0.721323i | −0.536086 | − | 0.844163i | \(-0.680098\pi\) |
−0.992426 | + | 0.122840i | \(0.960800\pi\) | |||||||
\(252\) | −5.30808 | + | 3.68054i | −0.334378 | + | 0.231852i | ||||
\(253\) | 1.08756 | + | 7.84294i | 0.0683745 | + | 0.493081i | ||||
\(254\) | 5.47127 | − | 4.25846i | 0.343298 | − | 0.267200i | ||||
\(255\) | −4.33749 | − | 6.63902i | −0.271624 | − | 0.415752i | ||||
\(256\) | −0.998482 | + | 0.0550878i | −0.0624051 | + | 0.00344299i | ||||
\(257\) | −1.29315 | + | 1.12620i | −0.0806642 | + | 0.0702505i | −0.696144 | − | 0.717902i | \(-0.745103\pi\) |
0.615480 | + | 0.788153i | \(0.288962\pi\) | |||||||
\(258\) | 0.460269 | − | 1.81756i | 0.0286551 | − | 0.113156i | ||||
\(259\) | 27.2368 | − | 4.54502i | 1.69241 | − | 0.282414i | ||||
\(260\) | 0.120452 | + | 0.0568425i | 0.00747009 | + | 0.00352522i | ||||
\(261\) | 6.40813 | + | 5.58085i | 0.396653 | + | 0.345446i | ||||
\(262\) | −1.14823 | + | 1.98879i | −0.0709376 | + | 0.122868i | ||||
\(263\) | −11.7465 | + | 1.30010i | −0.724318 | + | 0.0801675i | −0.464605 | − | 0.885518i | \(-0.653804\pi\) |
−0.259714 | + | 0.965686i | \(0.583628\pi\) | |||||||
\(264\) | −1.07118 | + | 0.118558i | −0.0659266 | + | 0.00729676i | ||||
\(265\) | 2.37395 | − | 3.63361i | 0.145831 | − | 0.223211i | ||||
\(266\) | −7.66439 | − | 8.56509i | −0.469934 | − | 0.525159i | ||||
\(267\) | −2.72397 | − | 4.16935i | −0.166704 | − | 0.255160i | ||||
\(268\) | 3.83278 | + | 4.65388i | 0.234124 | + | 0.284281i | ||||
\(269\) | −3.91484 | − | 2.40644i | −0.238692 | − | 0.146723i | 0.399163 | − | 0.916880i | \(-0.369301\pi\) |
−0.637855 | + | 0.770157i | \(0.720178\pi\) | |||||||
\(270\) | −9.95465 | + | 6.11910i | −0.605821 | + | 0.372397i | ||||
\(271\) | −11.6285 | + | 11.3123i | −0.706379 | + | 0.687176i | −0.959960 | − | 0.280138i | \(-0.909620\pi\) |
0.253581 | + | 0.967314i | \(0.418392\pi\) | |||||||
\(272\) | 2.65106 | + | 2.57900i | 0.160744 | + | 0.156375i | ||||
\(273\) | 0.0852598 | − | 0.0292697i | 0.00516016 | − | 0.00177148i | ||||
\(274\) | 6.15638 | + | 3.33167i | 0.371921 | + | 0.201273i | ||||
\(275\) | 0.134243 | − | 4.87007i | 0.00809513 | − | 0.293676i | ||||
\(276\) | 2.89827 | + | 2.81948i | 0.174455 | + | 0.169713i | ||||
\(277\) | 7.37326 | − | 8.00950i | 0.443016 | − | 0.481244i | −0.473755 | − | 0.880657i | \(-0.657102\pi\) |
0.916771 | + | 0.399413i | \(0.130786\pi\) | |||||||
\(278\) | 4.87419 | − | 2.63778i | 0.292334 | − | 0.158203i | ||||
\(279\) | 3.59559 | + | 7.10508i | 0.215262 | + | 0.425370i | ||||
\(280\) | −4.84492 | − | 5.88286i | −0.289539 | − | 0.351568i | ||||
\(281\) | −20.7655 | + | 1.14566i | −1.23876 | + | 0.0683445i | −0.662590 | − | 0.748983i | \(-0.730543\pi\) |
−0.576174 | + | 0.817327i | \(0.695455\pi\) | |||||||
\(282\) | −0.830426 | − | 2.21797i | −0.0494512 | − | 0.132078i | ||||
\(283\) | −2.32517 | + | 7.43397i | −0.138217 | + | 0.441904i | −0.997585 | − | 0.0694533i | \(-0.977875\pi\) |
0.859368 | + | 0.511357i | \(0.170857\pi\) | |||||||
\(284\) | −13.5801 | + | 2.26612i | −0.805833 | + | 0.134470i | ||||
\(285\) | −5.83928 | − | 7.29759i | −0.345889 | − | 0.432272i | ||||
\(286\) | −0.0660322 | − | 0.0110188i | −0.00390457 | − | 0.000651557i | ||||
\(287\) | 4.91440 | − | 9.71111i | 0.290088 | − | 0.573229i | ||||
\(288\) | 1.75586 | − | 1.70813i | 0.103465 | − | 0.100652i | ||||
\(289\) | −0.0914980 | + | 3.31938i | −0.00538223 | + | 0.195257i | ||||
\(290\) | −5.93783 | + | 8.07870i | −0.348681 | + | 0.474398i | ||||
\(291\) | 9.95343 | + | 1.10165i | 0.583480 | + | 0.0645796i | ||||
\(292\) | 4.85954 | 0.284383 | ||||||||
\(293\) | 3.19639 | 0.186735 | 0.0933675 | − | 0.995632i | \(-0.470237\pi\) | ||||
0.0933675 | + | 0.995632i | \(0.470237\pi\) | |||||||
\(294\) | 0.0347917 | + | 0.00385074i | 0.00202909 | + | 0.000224580i | ||||
\(295\) | 16.3478 | − | 19.8500i | 0.951806 | − | 1.15571i | ||||
\(296\) | −9.90483 | + | 3.40033i | −0.575707 | + | 0.197640i | ||||
\(297\) | 3.97781 | − | 4.32105i | 0.230816 | − | 0.250733i | ||||
\(298\) | 1.40827 | − | 7.20953i | 0.0815786 | − | 0.417637i | ||||
\(299\) | 0.125584 | + | 0.217518i | 0.00726272 | + | 0.0125794i | ||||
\(300\) | −1.47344 | − | 2.00468i | −0.0850689 | − | 0.115740i | ||||
\(301\) | −5.47644 | + | 3.79728i | −0.315657 | + | 0.218872i | ||||
\(302\) | −11.9509 | − | 10.4080i | −0.687694 | − | 0.598913i | ||||
\(303\) | 2.78341 | + | 2.16642i | 0.159903 | + | 0.124457i | ||||
\(304\) | 3.40168 | + | 2.72554i | 0.195100 | + | 0.156320i | ||||
\(305\) | 19.8158 | − | 15.4232i | 1.13465 | − | 0.883132i | ||||
\(306\) | −9.04640 | − | 0.499104i | −0.517148 | − | 0.0285319i | ||||
\(307\) | 0.00706848 | + | 0.0122430i | 0.000403419 | + | 0.000698743i | 0.866227 | − | 0.499651i | \(-0.166538\pi\) |
−0.865824 | + | 0.500349i | \(0.833205\pi\) | |||||||
\(308\) | 3.14789 | + | 2.18270i | 0.179368 | + | 0.124371i | ||||
\(309\) | −1.73434 | + | 3.42714i | −0.0986630 | + | 0.194963i | ||||
\(310\) | −8.00412 | + | 4.92011i | −0.454603 | + | 0.279444i | ||||
\(311\) | −24.2406 | − | 8.32180i | −1.37456 | − | 0.471886i | −0.464208 | − | 0.885726i | \(-0.653661\pi\) |
−0.910349 | + | 0.413840i | \(0.864187\pi\) | |||||||
\(312\) | −0.0300663 | + | 0.0162711i | −0.00170217 | + | 0.000921167i | ||||
\(313\) | 1.50635 | − | 7.71166i | 0.0851438 | − | 0.435889i | −0.914375 | − | 0.404868i | \(-0.867317\pi\) |
0.999519 | − | 0.0310203i | \(-0.00987567\pi\) | |||||||
\(314\) | −6.85339 | − | 4.75203i | −0.386759 | − | 0.268173i | ||||
\(315\) | 18.4144 | + | 3.07282i | 1.03753 | + | 0.173134i | ||||
\(316\) | 1.19097 | − | 2.71513i | 0.0669971 | − | 0.152738i | ||||
\(317\) | −5.48645 | + | 4.77816i | −0.308150 | + | 0.268368i | −0.796973 | − | 0.604015i | \(-0.793567\pi\) |
0.488823 | + | 0.872383i | \(0.337426\pi\) | |||||||
\(318\) | 0.390633 | + | 1.04333i | 0.0219056 | + | 0.0585072i | ||||
\(319\) | 1.76701 | − | 4.71947i | 0.0989336 | − | 0.264240i | ||||
\(320\) | 2.17957 | + | 1.89819i | 0.121842 | + | 0.106112i | ||||
\(321\) | 0.856792 | − | 0.404330i | 0.0478215 | − | 0.0225675i | ||||
\(322\) | −1.18681 | − | 14.3227i | −0.0661384 | − | 0.798172i | ||||
\(323\) | −1.10459 | − | 16.0838i | −0.0614608 | − | 0.894925i | ||||
\(324\) | −0.359195 | + | 4.33483i | −0.0199553 | + | 0.240824i | ||||
\(325\) | −0.0541887 | − | 0.144732i | −0.00300585 | − | 0.00802826i | ||||
\(326\) | 20.2863 | − | 5.73642i | 1.12355 | − | 0.317711i | ||||
\(327\) | −13.7836 | + | 5.59842i | −0.762235 | + | 0.309593i | ||||
\(328\) | −1.23216 | + | 3.93942i | −0.0680344 | + | 0.217518i | ||||
\(329\) | −2.95161 | + | 7.88341i | −0.162728 | + | 0.434627i | ||||
\(330\) | 2.45810 | + | 1.91321i | 0.135314 | + | 0.105319i | ||||
\(331\) | 1.55359 | − | 2.37795i | 0.0853930 | − | 0.130704i | −0.791915 | − | 0.610631i | \(-0.790916\pi\) |
0.877308 | + | 0.479927i | \(0.159337\pi\) | |||||||
\(332\) | −5.34384 | − | 1.51110i | −0.293282 | − | 0.0829321i | ||||
\(333\) | 12.8266 | − | 22.2164i | 0.702896 | − | 1.21745i | ||||
\(334\) | 9.31754 | + | 7.25213i | 0.509833 | + | 0.396819i | ||||
\(335\) | 1.43898 | − | 17.3659i | 0.0786198 | − | 0.948800i | ||||
\(336\) | 1.95318 | − | 0.107760i | 0.106555 | − | 0.00587879i | ||||
\(337\) | 2.15606 | + | 11.0378i | 0.117448 | + | 0.601269i | 0.992997 | + | 0.118140i | \(0.0376930\pi\) |
−0.875549 | + | 0.483130i | \(0.839500\pi\) | |||||||
\(338\) | 12.6833 | − | 2.84239i | 0.689880 | − | 0.154606i | ||||
\(339\) | −5.74210 | + | 11.3467i | −0.311868 | + | 0.616268i | ||||
\(340\) | −0.294551 | − | 10.6858i | −0.0159743 | − | 0.579517i | ||||
\(341\) | 3.19839 | − | 3.47438i | 0.173203 | − | 0.188148i | ||||
\(342\) | −10.6688 | + | 0.437788i | −0.576901 | + | 0.0236729i | ||||
\(343\) | −12.5853 | − | 13.6713i | −0.679545 | − | 0.738183i | ||||
\(344\) | 1.81155 | − | 1.76231i | 0.0976724 | − | 0.0950172i | ||||
\(345\) | −0.322017 | − | 11.6822i | −0.0173368 | − | 0.628948i | ||||
\(346\) | −1.91134 | + | 9.78499i | −0.102754 | + | 0.526044i | ||||
\(347\) | 0.781136 | − | 5.63315i | 0.0419336 | − | 0.302403i | −0.957947 | − | 0.286945i | \(-0.907360\pi\) |
0.999881 | − | 0.0154577i | \(-0.00492055\pi\) | |||||||
\(348\) | −0.768216 | − | 2.45612i | −0.0411807 | − | 0.131662i | ||||
\(349\) | 5.75856 | + | 8.81413i | 0.308249 | + | 0.471810i | 0.957366 | − | 0.288879i | \(-0.0932825\pi\) |
−0.649117 | + | 0.760689i | \(0.724861\pi\) | |||||||
\(350\) | −0.730243 | + | 8.81272i | −0.0390331 | + | 0.471060i | ||||
\(351\) | 0.0653256 | − | 0.174477i | 0.00348682 | − | 0.00931289i | ||||
\(352\) | −1.31379 | − | 0.619991i | −0.0700251 | − | 0.0330456i | ||||
\(353\) | 1.05420 | + | 2.40333i | 0.0561092 | + | 0.127916i | 0.941592 | − | 0.336756i | \(-0.109330\pi\) |
−0.885483 | + | 0.464673i | \(0.846172\pi\) | |||||||
\(354\) | 1.62032 | + | 6.39850i | 0.0861190 | + | 0.340076i | ||||
\(355\) | 32.7009 | + | 22.6743i | 1.73559 | + | 1.20343i | ||||
\(356\) | −0.184980 | − | 6.71073i | −0.00980392 | − | 0.355668i | ||||
\(357\) | −5.18588 | − | 5.04490i | −0.274466 | − | 0.267005i | ||||
\(358\) | −17.9791 | − | 4.02921i | −0.950225 | − | 0.212950i | ||||
\(359\) | 16.3277 | + | 6.63174i | 0.861743 | + | 0.350010i | 0.764011 | − | 0.645203i | \(-0.223227\pi\) |
0.0977321 | + | 0.995213i | \(0.468841\pi\) | |||||||
\(360\) | −7.08012 | −0.373155 | ||||||||
\(361\) | −3.11511 | − | 18.7429i | −0.163953 | − | 0.986468i | ||||
\(362\) | 4.18175 | 0.219788 | ||||||||
\(363\) | 6.11006 | + | 2.48169i | 0.320695 | + | 0.130255i | ||||
\(364\) | 0.118570 | + | 0.0265721i | 0.00621475 | + | 0.00139276i | ||||
\(365\) | −10.0675 | − | 9.79379i | −0.526956 | − | 0.512630i | ||||
\(366\) | 0.177595 | + | 6.44282i | 0.00928304 | + | 0.336771i | ||||
\(367\) | 2.57057 | + | 1.78239i | 0.134183 | + | 0.0930402i | 0.634997 | − | 0.772514i | \(-0.281001\pi\) |
−0.500815 | + | 0.865555i | \(0.666966\pi\) | |||||||
\(368\) | 1.33800 | + | 5.28363i | 0.0697480 | + | 0.275429i | ||||
\(369\) | −4.06162 | − | 9.25957i | −0.211440 | − | 0.482034i | ||||
\(370\) | 27.3727 | + | 12.9175i | 1.42304 | + | 0.671548i | ||||
\(371\) | 1.38844 | − | 3.70836i | 0.0720842 | − | 0.192528i | ||||
\(372\) | 0.199146 | − | 2.40333i | 0.0103252 | − | 0.124607i | ||||
\(373\) | 16.3883 | + | 25.0842i | 0.848554 | + | 1.29881i | 0.952597 | + | 0.304236i | \(0.0984011\pi\) |
−0.104043 | + | 0.994573i | \(0.533178\pi\) | |||||||
\(374\) | 1.60392 | + | 5.12803i | 0.0829369 | + | 0.265164i | ||||
\(375\) | 0.484871 | − | 3.49664i | 0.0250386 | − | 0.180566i | ||||
\(376\) | 0.612022 | − | 3.13321i | 0.0315626 | − | 0.161583i | ||||
\(377\) | −0.00440474 | − | 0.159796i | −0.000226856 | − | 0.00822991i | ||||
\(378\) | −7.64113 | + | 7.43341i | −0.393017 | + | 0.382333i | ||||
\(379\) | 8.15836 | + | 8.86234i | 0.419067 | + | 0.455228i | 0.909163 | − | 0.416441i | \(-0.136723\pi\) |
−0.490096 | + | 0.871668i | \(0.663038\pi\) | |||||||
\(380\) | −1.55426 | − | 12.5021i | −0.0797319 | − | 0.641346i | ||||
\(381\) | 3.48357 | − | 3.78417i | 0.178469 | − | 0.193869i | ||||
\(382\) | 0.393241 | + | 14.2660i | 0.0201199 | + | 0.729914i | ||||
\(383\) | −12.1348 | + | 23.9790i | −0.620060 | + | 1.22527i | 0.338657 | + | 0.940910i | \(0.390027\pi\) |
−0.958717 | + | 0.284362i | \(0.908218\pi\) | |||||||
\(384\) | −0.723904 | + | 0.162231i | −0.0369416 | + | 0.00827880i | ||||
\(385\) | −2.12251 | − | 10.8661i | −0.108173 | − | 0.553785i | ||||
\(386\) | −8.74591 | + | 0.482525i | −0.445155 | + | 0.0245599i | ||||
\(387\) | −0.511256 | + | 6.16994i | −0.0259886 | + | 0.313636i | ||||
\(388\) | 10.6524 | + | 8.29113i | 0.540796 | + | 0.420918i | ||||
\(389\) | 4.14790 | − | 7.18437i | 0.210307 | − | 0.364262i | −0.741504 | − | 0.670949i | \(-0.765887\pi\) |
0.951810 | + | 0.306687i | \(0.0992204\pi\) | |||||||
\(390\) | 0.0950803 | + | 0.0268861i | 0.00481458 | + | 0.00136143i | ||||
\(391\) | 11.0258 | − | 16.8762i | 0.557597 | − | 0.853466i | ||||
\(392\) | 0.0372350 | + | 0.0289812i | 0.00188065 | + | 0.00146377i | ||||
\(393\) | −0.597362 | + | 1.59548i | −0.0301329 | + | 0.0804815i | ||||
\(394\) | 2.01277 | − | 6.43517i | 0.101402 | − | 0.324199i | ||||
\(395\) | −7.93932 | + | 3.22467i | −0.399470 | + | 0.162251i | ||||
\(396\) | 3.42440 | − | 0.968327i | 0.172082 | − | 0.0486603i | ||||
\(397\) | 12.9243 | + | 34.5193i | 0.648653 | + | 1.73248i | 0.680255 | + | 0.732976i | \(0.261869\pi\) |
−0.0316014 | + | 0.999501i | \(0.510061\pi\) | |||||||
\(398\) | 1.36627 | − | 16.4885i | 0.0684850 | − | 0.826491i | ||||
\(399\) | −6.65420 | − | 5.33156i | −0.333127 | − | 0.266912i | ||||
\(400\) | −0.276941 | − | 3.34218i | −0.0138470 | − | 0.167109i | ||||
\(401\) | 4.34542 | − | 2.05065i | 0.217000 | − | 0.102405i | −0.315194 | − | 0.949027i | \(-0.602070\pi\) |
0.532194 | + | 0.846623i | \(0.321368\pi\) | |||||||
\(402\) | 3.37287 | + | 2.93744i | 0.168223 | + | 0.146506i | ||||
\(403\) | 0.0525256 | − | 0.140290i | 0.00261648 | − | 0.00698832i | ||||
\(404\) | 1.66709 | + | 4.45261i | 0.0829410 | + | 0.221526i | ||||
\(405\) | 9.48044 | − | 8.25653i | 0.471087 | − | 0.410270i | ||||
\(406\) | −3.67429 | + | 8.37653i | −0.182352 | + | 0.415720i | ||||
\(407\) | −15.0059 | − | 2.50404i | −0.743813 | − | 0.124120i | ||||
\(408\) | 2.25481 | + | 1.56345i | 0.111630 | + | 0.0774022i | ||||
\(409\) | 6.50228 | − | 33.2880i | 0.321517 | − | 1.64599i | −0.373964 | − | 0.927443i | \(-0.622002\pi\) |
0.695481 | − | 0.718545i | \(-0.255191\pi\) | |||||||
\(410\) | 10.4921 | − | 5.67801i | 0.518165 | − | 0.280417i | ||||
\(411\) | 4.91170 | + | 1.68619i | 0.242276 | + | 0.0831735i | ||||
\(412\) | −4.41083 | + | 2.71133i | −0.217306 | + | 0.133578i | ||||
\(413\) | 10.5931 | − | 20.9325i | 0.521253 | − | 1.03002i | ||||
\(414\) | −10.9720 | − | 7.60784i | −0.539246 | − | 0.373905i | ||||
\(415\) | 8.02538 | + | 13.9004i | 0.393950 | + | 0.682342i | ||||
\(416\) | −0.0460124 | − | 0.00253858i | −0.00225594 | − | 0.000124464i | ||||
\(417\) | 3.24456 | − | 2.52534i | 0.158887 | − | 0.123666i | ||||
\(418\) | 2.46162 | + | 5.83425i | 0.120402 | + | 0.285363i | ||||
\(419\) | 4.97951 | + | 3.87571i | 0.243265 | + | 0.189341i | 0.728505 | − | 0.685040i | \(-0.240215\pi\) |
−0.485241 | + | 0.874381i | \(0.661268\pi\) | |||||||
\(420\) | −4.26356 | − | 3.71314i | −0.208041 | − | 0.181183i | ||||
\(421\) | 16.0156 | − | 11.1049i | 0.780551 | − | 0.541222i | −0.111173 | − | 0.993801i | \(-0.535461\pi\) |
0.891724 | + | 0.452579i | \(0.149496\pi\) | |||||||
\(422\) | 0.732314 | + | 0.996350i | 0.0356485 | + | 0.0485015i | ||||
\(423\) | 3.91015 | + | 6.77259i | 0.190118 | + | 0.329294i | ||||
\(424\) | −0.287895 | + | 1.47386i | −0.0139814 | + | 0.0715771i | ||||
\(425\) | −8.40074 | + | 9.12564i | −0.407496 | + | 0.442658i | ||||
\(426\) | −9.66045 | + | 3.31643i | −0.468050 | + | 0.160682i | ||||
\(427\) | 14.5636 | − | 17.6836i | 0.704780 | − | 0.855767i | ||||
\(428\) | 1.26932 | + | 0.140488i | 0.0613547 | + | 0.00679074i | ||||
\(429\) | −0.0496640 | −0.00239780 | ||||||||
\(430\) | −7.30469 | −0.352263 | ||||||||
\(431\) | −8.36162 | − | 0.925464i | −0.402765 | − | 0.0445780i | −0.0936560 | − | 0.995605i | \(-0.529855\pi\) |
−0.309109 | + | 0.951027i | \(0.600031\pi\) | |||||||
\(432\) | 2.39433 | − | 3.25760i | 0.115197 | − | 0.156732i | ||||
\(433\) | −1.06340 | + | 38.5783i | −0.0511039 | + | 1.85396i | 0.348551 | + | 0.937290i | \(0.386674\pi\) |
−0.399655 | + | 0.916666i | \(0.630870\pi\) | |||||||
\(434\) | −6.14391 | + | 5.97689i | −0.294917 | + | 0.286900i | ||||
\(435\) | −3.35850 | + | 6.63657i | −0.161028 | + | 0.318199i | ||||
\(436\) | −19.7804 | − | 3.30076i | −0.947308 | − | 0.158078i | ||||
\(437\) | 11.0253 | − | 21.0446i | 0.527414 | − | 1.00670i | ||||
\(438\) | 3.55593 | − | 0.593380i | 0.169909 | − | 0.0283528i | ||||
\(439\) | 7.27964 | − | 23.2743i | 0.347438 | − | 1.11082i | −0.602430 | − | 0.798172i | \(-0.705801\pi\) |
0.949868 | − | 0.312651i | \(-0.101217\pi\) | |||||||
\(440\) | 1.47225 | + | 3.93220i | 0.0701867 | + | 0.187460i | ||||
\(441\) | −0.115409 | + | 0.00636730i | −0.00549568 | + | 0.000303205i | ||||
\(442\) | 0.108352 | + | 0.131564i | 0.00515377 | + | 0.00625788i | ||||
\(443\) | −17.6173 | − | 34.8127i | −0.837022 | − | 1.65400i | −0.753456 | − | 0.657499i | \(-0.771615\pi\) |
−0.0835664 | − | 0.996502i | \(-0.526631\pi\) | |||||||
\(444\) | −6.83258 | + | 3.69761i | −0.324260 | + | 0.175481i | ||||
\(445\) | −13.1414 | + | 14.2754i | −0.622962 | + | 0.676717i | ||||
\(446\) | −4.88235 | − | 4.74962i | −0.231186 | − | 0.224901i | ||||
\(447\) | 0.150159 | − | 5.44747i | 0.00710226 | − | 0.257657i | ||||
\(448\) | 2.31901 | + | 1.25499i | 0.109563 | + | 0.0592926i | ||||
\(449\) | −2.65904 | + | 0.912850i | −0.125488 | + | 0.0430801i | −0.386728 | − | 0.922194i | \(-0.626395\pi\) |
0.261240 | + | 0.965274i | \(0.415869\pi\) | |||||||
\(450\) | 5.88852 | + | 5.72844i | 0.277587 | + | 0.270041i | ||||
\(451\) | −4.29806 | + | 4.18121i | −0.202388 | + | 0.196886i | ||||
\(452\) | −14.6035 | + | 8.97676i | −0.686892 | + | 0.422231i | ||||
\(453\) | −10.0158 | − | 6.15670i | −0.470584 | − | 0.289267i | ||||
\(454\) | −4.73222 | − | 5.74602i | −0.222094 | − | 0.269674i | ||||
\(455\) | −0.192088 | − | 0.294012i | −0.00900520 | − | 0.0137835i | ||||
\(456\) | 2.82196 | + | 1.57902i | 0.132150 | + | 0.0739446i | ||||
\(457\) | 1.80516 | − | 2.76300i | 0.0844417 | − | 0.129248i | −0.792448 | − | 0.609940i | \(-0.791194\pi\) |
0.876889 | + | 0.480692i | \(0.159615\pi\) | |||||||
\(458\) | 28.7653 | − | 3.18374i | 1.34411 | − | 0.148766i | ||||
\(459\) | −14.8621 | + | 1.64493i | −0.693701 | + | 0.0767789i | ||||
\(460\) | 7.87657 | − | 13.6426i | 0.367247 | − | 0.636091i | ||||
\(461\) | 30.8085 | + | 26.8311i | 1.43489 | + | 1.24965i | 0.919725 | + | 0.392563i | \(0.128411\pi\) |
0.515170 | + | 0.857088i | \(0.327729\pi\) | |||||||
\(462\) | 2.56996 | + | 1.21280i | 0.119566 | + | 0.0564243i | ||||
\(463\) | −29.4794 | + | 4.91923i | −1.37002 | + | 0.228616i | −0.803438 | − | 0.595388i | \(-0.796998\pi\) |
−0.566584 | + | 0.824004i | \(0.691735\pi\) | |||||||
\(464\) | 0.851572 | − | 3.36278i | 0.0395332 | − | 0.156113i | ||||
\(465\) | −5.25617 | + | 4.57760i | −0.243749 | + | 0.212281i | ||||
\(466\) | 10.1913 | − | 0.562269i | 0.472103 | − | 0.0260466i | ||||
\(467\) | −3.48962 | − | 5.34126i | −0.161480 | − | 0.247164i | 0.747255 | − | 0.664538i | \(-0.231372\pi\) |
−0.908735 | + | 0.417374i | \(0.862951\pi\) | |||||||
\(468\) | 0.0890825 | − | 0.0693357i | 0.00411784 | − | 0.00320504i | ||||
\(469\) | −2.18356 | − | 15.7467i | −0.100827 | − | 0.727115i | ||||
\(470\) | −7.58251 | + | 5.25759i | −0.349755 | + | 0.242515i | ||||
\(471\) | −5.59516 | − | 2.64042i | −0.257811 | − | 0.121664i | ||||
\(472\) | −2.65594 | + | 8.49153i | −0.122250 | + | 0.390854i | ||||
\(473\) | 3.53301 | − | 0.999040i | 0.162448 | − | 0.0459359i | ||||
\(474\) | 0.539946 | − | 2.13220i | 0.0248006 | − | 0.0979352i | ||||
\(475\) | −8.82264 | + | 11.6555i | −0.404811 | + | 0.534792i | ||||
\(476\) | −2.39408 | − | 9.45402i | −0.109733 | − | 0.433324i | ||||
\(477\) | −1.83934 | − | 3.18583i | −0.0842175 | − | 0.145869i | ||||
\(478\) | 0.259760 | − | 1.87325i | 0.0118811 | − | 0.0856806i | ||||
\(479\) | 5.97047 | + | 11.7980i | 0.272798 | + | 0.539063i | 0.986969 | − | 0.160908i | \(-0.0514421\pi\) |
−0.714172 | + | 0.699970i | \(0.753196\pi\) | |||||||
\(480\) | 1.82666 | + | 1.12284i | 0.0833753 | + | 0.0512506i | ||||
\(481\) | −0.470906 | + | 0.105532i | −0.0214715 | + | 0.00481187i | ||||
\(482\) | 24.8249 | + | 4.14254i | 1.13074 | + | 0.188687i | ||||
\(483\) | −2.61732 | − | 10.3356i | −0.119092 | − | 0.470285i | ||||
\(484\) | 5.26472 | + | 7.16291i | 0.239305 | + | 0.325587i | ||||
\(485\) | −5.35886 | − | 38.6453i | −0.243333 | − | 1.75479i | ||||
\(486\) | 1.26804 | + | 15.3030i | 0.0575197 | + | 0.694159i | ||||
\(487\) | 21.1635 | − | 32.3931i | 0.959008 | − | 1.46787i | 0.0767809 | − | 0.997048i | \(-0.475536\pi\) |
0.882227 | − | 0.470824i | \(-0.156043\pi\) | |||||||
\(488\) | −4.34399 | + | 7.52401i | −0.196643 | + | 0.340596i | ||||
\(489\) | 14.1439 | − | 6.67466i | 0.639609 | − | 0.301839i | ||||
\(490\) | −0.0187316 | − | 0.135083i | −0.000846208 | − | 0.00610241i | ||||
\(491\) | 13.1906 | + | 0.727743i | 0.595281 | + | 0.0328426i | 0.350224 | − | 0.936666i | \(-0.386105\pi\) |
0.245057 | + | 0.969509i | \(0.421193\pi\) | |||||||
\(492\) | −0.420593 | + | 3.03309i | −0.0189618 | + | 0.136742i | ||||
\(493\) | −11.2837 | + | 6.10643i | −0.508192 | + | 0.275020i | ||||
\(494\) | 0.141989 | + | 0.142082i | 0.00638840 | + | 0.00639256i | ||||
\(495\) | −9.04583 | − | 4.89536i | −0.406580 | − | 0.220030i | ||||
\(496\) | 1.92518 | − | 2.61930i | 0.0864432 | − | 0.117610i | ||||
\(497\) | 33.6350 | + | 13.6613i | 1.50873 | + | 0.612795i | ||||
\(498\) | −4.09483 | − | 0.453215i | −0.183494 | − | 0.0203091i | ||||
\(499\) | 25.9004 | + | 10.5198i | 1.15946 | + | 0.470932i | 0.873268 | − | 0.487241i | \(-0.161997\pi\) |
0.286192 | + | 0.958172i | \(0.407611\pi\) | |||||||
\(500\) | 3.02505 | − | 3.67312i | 0.135285 | − | 0.164267i | ||||
\(501\) | 7.70356 | + | 4.16896i | 0.344170 | + | 0.186255i | ||||
\(502\) | −18.1357 | − | 19.7007i | −0.809438 | − | 0.879284i | ||||
\(503\) | −32.3847 | + | 19.9068i | −1.44396 | + | 0.887600i | −0.999964 | − | 0.00842858i | \(-0.997317\pi\) |
−0.443997 | + | 0.896028i | \(0.646440\pi\) | |||||||
\(504\) | −6.30293 | + | 1.41252i | −0.280755 | + | 0.0629186i | ||||
\(505\) | 5.51996 | − | 12.5843i | 0.245635 | − | 0.559992i | ||||
\(506\) | −1.94375 | + | 7.67570i | −0.0864102 | + | 0.341226i | ||||
\(507\) | 8.93381 | − | 3.62860i | 0.396765 | − | 0.161152i | ||||
\(508\) | 6.67160 | − | 1.88655i | 0.296004 | − | 0.0837021i | ||||
\(509\) | −12.4631 | + | 10.8541i | −0.552416 | + | 0.481100i | −0.887321 | − | 0.461152i | \(-0.847436\pi\) |
0.334905 | + | 0.942252i | \(0.391296\pi\) | |||||||
\(510\) | −1.52033 | − | 7.78325i | −0.0673215 | − | 0.344648i | ||||
\(511\) | −10.9163 | − | 6.71021i | −0.482907 | − | 0.296842i | ||||
\(512\) | −0.945817 | − | 0.324699i | −0.0417996 | − | 0.0143498i | ||||
\(513\) | −17.2486 | + | 3.61079i | −0.761543 | + | 0.159420i | ||||
\(514\) | −1.62189 | + | 0.556796i | −0.0715386 | + | 0.0245592i | ||||
\(515\) | 14.6022 | + | 3.27243i | 0.643450 | + | 0.144201i | ||||
\(516\) | 1.11040 | − | 1.51076i | 0.0488827 | − | 0.0665073i | ||||
\(517\) | 2.94832 | − | 3.57994i | 0.129667 | − | 0.157446i | ||||
\(518\) | 26.9451 | + | 6.03853i | 1.18390 | + | 0.265318i | ||||
\(519\) | −0.203800 | + | 7.39347i | −0.00894581 | + | 0.324537i | ||||
\(520\) | 0.0902073 | + | 0.0979913i | 0.00395585 | + | 0.00429720i | ||||
\(521\) | −30.3645 | − | 10.4241i | −1.33029 | − | 0.456690i | −0.434304 | − | 0.900766i | \(-0.643006\pi\) |
−0.895989 | + | 0.444076i | \(0.853532\pi\) | |||||||
\(522\) | 3.83697 | + | 7.58206i | 0.167940 | + | 0.331858i | ||||
\(523\) | 6.83384 | + | 21.8490i | 0.298823 | + | 0.955390i | 0.975666 | + | 0.219262i | \(0.0703650\pi\) |
−0.676843 | + | 0.736127i | \(0.736652\pi\) | |||||||
\(524\) | −1.81222 | + | 1.41051i | −0.0791673 | + | 0.0616184i | ||||
\(525\) | 0.541738 | + | 6.53780i | 0.0236434 | + | 0.285333i | ||||
\(526\) | −11.3723 | − | 3.21577i | −0.495855 | − | 0.140214i | ||||
\(527\) | −11.9500 | + | 1.32262i | −0.520548 | + | 0.0576143i | ||||
\(528\) | −1.03706 | − | 0.293252i | −0.0451321 | − | 0.0127621i | ||||
\(529\) | 6.06556 | − | 2.86241i | 0.263720 | − | 0.124452i | ||||
\(530\) | 3.56681 | − | 2.47317i | 0.154932 | − | 0.107428i | ||||
\(531\) | −8.75494 | − | 19.9592i | −0.379932 | − | 0.866157i | ||||
\(532\) | −3.87789 | − | 10.8197i | −0.168128 | − | 0.469093i | ||||
\(533\) | −0.0764068 | + | 0.174190i | −0.00330954 | + | 0.00754500i | ||||
\(534\) | −0.954778 | − | 4.88793i | −0.0413173 | − | 0.211522i | ||||
\(535\) | −2.34650 | − | 2.84919i | −0.101448 | − | 0.123181i | ||||
\(536\) | 1.79975 | + | 5.75411i | 0.0777371 | + | 0.248539i | ||||
\(537\) | −13.6480 | − | 0.752984i | −0.588957 | − | 0.0324936i | ||||
\(538\) | −2.72151 | − | 3.70275i | −0.117333 | − | 0.159637i | ||||
\(539\) | 0.0275346 | + | 0.0627726i | 0.00118600 | + | 0.00270381i | ||||
\(540\) | −11.5256 | + | 1.92328i | −0.495983 | + | 0.0827649i | ||||
\(541\) | 26.2045 | − | 10.6434i | 1.12662 | − | 0.457594i | 0.264545 | − | 0.964373i | \(-0.414778\pi\) |
0.862076 | + | 0.506779i | \(0.169164\pi\) | |||||||
\(542\) | −15.0307 | + | 6.10492i | −0.645622 | + | 0.262229i | ||||
\(543\) | 3.05996 | − | 0.510617i | 0.131315 | − | 0.0219127i | ||||
\(544\) | 1.48570 | + | 3.38704i | 0.0636987 | + | 0.145218i | ||||
\(545\) | 34.3266 | + | 46.7030i | 1.47039 | + | 2.00054i | ||||
\(546\) | 0.0900072 | + | 0.00496583i | 0.00385195 | + | 0.000212518i | ||||
\(547\) | −8.48930 | − | 27.1418i | −0.362976 | − | 1.16050i | −0.939247 | − | 0.343241i | \(-0.888475\pi\) |
0.576271 | − | 0.817259i | \(-0.304507\pi\) | |||||||
\(548\) | 4.45011 | + | 5.40347i | 0.190099 | + | 0.230825i | ||||
\(549\) | −4.08007 | − | 20.8877i | −0.174133 | − | 0.891465i | ||||
\(550\) | 1.95703 | − | 4.46158i | 0.0834480 | − | 0.190242i | ||||
\(551\) | −12.5462 | + | 8.43980i | −0.534484 | + | 0.359548i | ||||
\(552\) | 1.62423 | + | 3.70288i | 0.0691319 | + | 0.157605i | ||||
\(553\) | −6.42448 | + | 4.45463i | −0.273196 | + | 0.189430i | ||||
\(554\) | 9.84533 | − | 4.64612i | 0.418288 | − | 0.197395i | ||||
\(555\) | 21.6070 | + | 6.10989i | 0.917168 | + | 0.259350i | ||||
\(556\) | 5.50853 | − | 0.609684i | 0.233614 | − | 0.0258563i | ||||
\(557\) | −20.9138 | − | 5.91386i | −0.886147 | − | 0.250578i | −0.201531 | − | 0.979482i | \(-0.564592\pi\) |
−0.684616 | + | 0.728904i | \(0.740030\pi\) | |||||||
\(558\) | 0.657585 | + | 7.93587i | 0.0278378 | + | 0.335952i | ||||
\(559\) | 0.0919080 | − | 0.0715348i | 0.00388729 | − | 0.00302560i | ||||
\(560\) | −2.27501 | − | 7.27362i | −0.0961369 | − | 0.307367i | ||||
\(561\) | 1.79982 | + | 3.55654i | 0.0759885 | + | 0.150157i | ||||
\(562\) | −19.6702 | − | 6.75279i | −0.829738 | − | 0.284849i | ||||
\(563\) | −5.85460 | − | 6.35979i | −0.246742 | − | 0.268033i | 0.600044 | − | 0.799967i | \(-0.295150\pi\) |
−0.846786 | + | 0.531934i | \(0.821466\pi\) | |||||||
\(564\) | 0.0652578 | − | 2.36743i | 0.00274785 | − | 0.0996869i | ||||
\(565\) | 48.3455 | + | 10.8345i | 2.03391 | + | 0.455810i | ||||
\(566\) | −4.95173 | + | 6.01255i | −0.208137 | + | 0.252726i | ||||
\(567\) | 6.79255 | − | 9.24160i | 0.285260 | − | 0.388111i | ||||
\(568\) | −13.4347 | − | 3.01078i | −0.563707 | − | 0.126330i | ||||
\(569\) | −6.22448 | + | 2.13687i | −0.260944 | + | 0.0895821i | −0.452067 | − | 0.891984i | \(-0.649313\pi\) |
0.191123 | + | 0.981566i | \(0.438787\pi\) | |||||||
\(570\) | −2.66390 | − | 8.95855i | −0.111579 | − | 0.375232i | ||||
\(571\) | −2.60993 | − | 0.895989i | −0.109222 | − | 0.0374960i | 0.269547 | − | 0.962987i | \(-0.413126\pi\) |
−0.378769 | + | 0.925491i | \(0.623652\pi\) | |||||||
\(572\) | −0.0570320 | − | 0.0350574i | −0.00238463 | − | 0.00146582i | ||||
\(573\) | 2.02972 | + | 10.3910i | 0.0847928 | + | 0.434092i | ||||
\(574\) | 8.20754 | − | 7.14795i | 0.342576 | − | 0.298350i | ||||
\(575\) | −17.5890 | + | 4.97369i | −0.733512 | + | 0.207417i | ||||
\(576\) | 2.26958 | − | 0.921824i | 0.0945659 | − | 0.0384093i | ||||
\(577\) | 0.429006 | − | 1.69411i | 0.0178598 | − | 0.0705266i | −0.959829 | − | 0.280586i | \(-0.909471\pi\) |
0.977689 | + | 0.210060i | \(0.0673658\pi\) | |||||||
\(578\) | −1.33388 | + | 3.04095i | −0.0554823 | + | 0.126487i | ||||
\(579\) | −6.34083 | + | 1.42101i | −0.263516 | + | 0.0590553i | ||||
\(580\) | −8.54145 | + | 5.25041i | −0.354665 | + | 0.218011i | ||||
\(581\) | 9.91762 | + | 10.7734i | 0.411452 | + | 0.446956i | ||||
\(582\) | 8.80724 | + | 4.76624i | 0.365072 | + | 0.197567i | ||||
\(583\) | −1.38689 | + | 1.68401i | −0.0574391 | + | 0.0697444i | ||||
\(584\) | 4.50234 | + | 1.82869i | 0.186308 | + | 0.0756718i | ||||
\(585\) | −0.324289 | − | 0.0358923i | −0.0134077 | − | 0.00148396i | ||||
\(586\) | 2.96143 | + | 1.20283i | 0.122336 | + | 0.0496885i | ||||
\(587\) | −22.6212 | + | 30.7773i | −0.933678 | + | 1.27032i | 0.0289754 | + | 0.999580i | \(0.490776\pi\) |
−0.962654 | + | 0.270735i | \(0.912733\pi\) | |||||||
\(588\) | 0.0307852 | + | 0.0166601i | 0.00126956 | + | 0.000687052i | ||||
\(589\) | −13.8689 | + | 2.90329i | −0.571456 | + | 0.119628i | ||||
\(590\) | 22.6159 | − | 12.2391i | 0.931081 | − | 0.503876i | ||||
\(591\) | 0.687051 | − | 4.95465i | 0.0282615 | − | 0.203807i | ||||
\(592\) | −10.4563 | − | 0.576893i | −0.429753 | − | 0.0237101i | ||||
\(593\) | 3.20441 | + | 23.1085i | 0.131589 | + | 0.948953i | 0.935281 | + | 0.353907i | \(0.115147\pi\) |
−0.803691 | + | 0.595046i | \(0.797134\pi\) | |||||||
\(594\) | 5.31147 | − | 2.50654i | 0.217932 | − | 0.102845i | ||||
\(595\) | −14.0936 | + | 24.4108i | −0.577780 | + | 1.00074i | ||||
\(596\) | 4.01776 | − | 6.14965i | 0.164574 | − | 0.251899i | ||||
\(597\) | −1.01358 | − | 12.2321i | −0.0414832 | − | 0.500627i | ||||
\(598\) | 0.0344988 | + | 0.248788i | 0.00141076 | + | 0.0101737i | ||||
\(599\) | −14.6717 | − | 19.9615i | −0.599468 | − | 0.815606i | 0.395215 | − | 0.918589i | \(-0.370670\pi\) |
−0.994683 | + | 0.102983i | \(0.967161\pi\) | |||||||
\(600\) | −0.610749 | − | 2.41179i | −0.0249337 | − | 0.0984611i | ||||
\(601\) | −25.0694 | − | 4.18334i | −1.02260 | − | 0.170642i | −0.370547 | − | 0.928814i | \(-0.620830\pi\) |
−0.652055 | + | 0.758171i | \(0.726093\pi\) | |||||||
\(602\) | −6.50284 | + | 1.45732i | −0.265036 | + | 0.0593960i | ||||
\(603\) | −12.5819 | − | 7.73407i | −0.512375 | − | 0.314956i | ||||
\(604\) | −7.15576 | − | 14.1402i | −0.291164 | − | 0.575355i | ||||
\(605\) | 3.52906 | − | 25.4497i | 0.143477 | − | 1.03468i | ||||
\(606\) | 1.76357 | + | 3.05460i | 0.0716403 | + | 0.124085i | ||||
\(607\) | −10.1663 | − | 40.1460i | −0.412639 | − | 1.62948i | −0.731619 | − | 0.681714i | \(-0.761235\pi\) |
0.318979 | − | 0.947762i | \(-0.396660\pi\) | |||||||
\(608\) | 2.12599 | + | 3.80528i | 0.0862204 | + | 0.154324i | ||||
\(609\) | −1.66580 | + | 6.57811i | −0.0675017 | + | 0.266558i | ||||
\(610\) | 24.1631 | − | 6.83267i | 0.978335 | − | 0.276647i | ||||
\(611\) | 0.0439159 | − | 0.140407i | 0.00177665 | − | 0.00568026i | ||||
\(612\) | −8.19362 | − | 3.86666i | −0.331208 | − | 0.156301i | ||||
\(613\) | −28.2278 | + | 19.5727i | −1.14011 | + | 0.790534i | −0.980475 | − | 0.196643i | \(-0.936996\pi\) |
−0.159633 | + | 0.987176i | \(0.551031\pi\) | |||||||
\(614\) | 0.00194176 | + | 0.0140030i | 7.83631e−5 | + | 0.000565114i | ||||
\(615\) | 6.98415 | − | 5.43598i | 0.281628 | − | 0.219200i | ||||
\(616\) | 2.09513 | + | 3.20684i | 0.0844153 | + | 0.129207i | ||||
\(617\) | −31.8940 | + | 1.75964i | −1.28400 | + | 0.0708405i | −0.684193 | − | 0.729301i | \(-0.739845\pi\) |
−0.599811 | + | 0.800142i | \(0.704758\pi\) | |||||||
\(618\) | −2.89652 | + | 2.52258i | −0.116515 | + | 0.101473i | ||||
\(619\) | −1.25040 | + | 4.93770i | −0.0502577 | + | 0.198463i | −0.989437 | − | 0.144964i | \(-0.953693\pi\) |
0.939179 | + | 0.343427i | \(0.111588\pi\) | |||||||
\(620\) | −9.26725 | + | 1.54643i | −0.372182 | + | 0.0621062i | ||||
\(621\) | −19.9278 | − | 9.40416i | −0.799675 | − | 0.377376i | ||||
\(622\) | −19.3272 | − | 16.8321i | −0.774949 | − | 0.674904i | ||||
\(623\) | −8.85085 | + | 15.3301i | −0.354602 | + | 0.614188i | ||||
\(624\) | −0.0339792 | + | 0.00376081i | −0.00136026 | + | 0.000150553i | ||||
\(625\) | −30.3361 | + | 3.35760i | −1.21344 | + | 0.134304i | ||||
\(626\) | 4.29759 | − | 6.57795i | 0.171766 | − | 0.262908i | ||||
\(627\) | 2.51367 | + | 3.96859i | 0.100386 | + | 0.158490i | ||||
\(628\) | −4.56139 | − | 6.98172i | −0.182019 | − | 0.278601i | ||||
\(629\) | 24.6230 | + | 29.8981i | 0.981784 | + | 1.19211i | ||||
\(630\) | 15.9045 | + | 9.77645i | 0.633650 | + | 0.389503i | ||||
\(631\) | −4.71728 | + | 2.89970i | −0.187792 | + | 0.115435i | −0.614378 | − | 0.789012i | \(-0.710593\pi\) |
0.426587 | + | 0.904447i | \(0.359716\pi\) | |||||||
\(632\) | 2.12515 | − | 2.06738i | 0.0845341 | − | 0.0822360i | ||||
\(633\) | 0.657525 | + | 0.639651i | 0.0261343 | + | 0.0254238i | ||||
\(634\) | −6.88123 | + | 2.36233i | −0.273289 | + | 0.0938201i | ||||
\(635\) | −17.6236 | − | 9.53741i | −0.699371 | − | 0.378481i | ||||
\(636\) | −0.0306973 | + | 1.11364i | −0.00121723 | + | 0.0441587i | ||||
\(637\) | 0.00155855 | + | 0.00151618i | 6.17519e−5 | + | 6.00732e-5i | ||||
\(638\) | 3.41311 | − | 3.70762i | 0.135126 | − | 0.146786i | ||||
\(639\) | 29.6616 | − | 16.0520i | 1.17339 | − | 0.635009i | ||||
\(640\) | 1.30505 | + | 2.57885i | 0.0515867 | + | 0.101938i | ||||
\(641\) | 16.9950 | + | 20.6359i | 0.671261 | + | 0.815068i | 0.991200 | − | 0.132371i | \(-0.0422589\pi\) |
−0.319939 | + | 0.947438i | \(0.603662\pi\) | |||||||
\(642\) | 0.945966 | − | 0.0521904i | 0.0373343 | − | 0.00205979i | ||||
\(643\) | 4.77998 | + | 12.7668i | 0.188504 | + | 0.503472i | 0.996295 | − | 0.0859967i | \(-0.0274074\pi\) |
−0.807791 | + | 0.589468i | \(0.799337\pi\) | |||||||
\(644\) | 4.29018 | − | 13.7165i | 0.169057 | − | 0.540505i | ||||
\(645\) | −5.34514 | + | 0.891947i | −0.210465 | + | 0.0351204i | ||||
\(646\) | 5.02908 | − | 15.3172i | 0.197867 | − | 0.602647i | ||||
\(647\) | −15.0379 | − | 2.50938i | −0.591200 | − | 0.0986538i | −0.138570 | − | 0.990353i | \(-0.544251\pi\) |
−0.452629 | + | 0.891699i | \(0.649514\pi\) | |||||||
\(648\) | −1.96403 | + | 3.88103i | −0.0771544 | + | 0.152461i | ||||
\(649\) | −9.26457 | + | 9.01272i | −0.363666 | + | 0.353780i | ||||
\(650\) | 0.00425834 | − | 0.154485i | 0.000167026 | − | 0.00605939i | ||||
\(651\) | −3.76594 | + | 5.12375i | −0.147599 | + | 0.200816i | ||||
\(652\) | 20.9538 | + | 2.31917i | 0.820615 | + | 0.0908256i | ||||
\(653\) | −23.1979 | −0.907804 | −0.453902 | − | 0.891052i | \(-0.649968\pi\) | ||||
−0.453902 | + | 0.891052i | \(0.649968\pi\) | |||||||
\(654\) | −14.8772 | −0.581743 | ||||||||
\(655\) | 6.59707 | + | 0.730163i | 0.257769 | + | 0.0285298i | ||||
\(656\) | −2.62403 | + | 3.18618i | −0.102451 | + | 0.124399i | ||||
\(657\) | −11.2592 | + | 3.86527i | −0.439261 | + | 0.150799i | ||||
\(658\) | −5.70125 | + | 6.19321i | −0.222258 | + | 0.241437i | ||||
\(659\) | −7.39126 | + | 37.8391i | −0.287923 | + | 1.47400i | 0.504171 | + | 0.863604i | \(0.331798\pi\) |
−0.792094 | + | 0.610400i | \(0.791009\pi\) | |||||||
\(660\) | 1.55745 | + | 2.69758i | 0.0606237 | + | 0.105003i | ||||
\(661\) | 11.9916 | + | 16.3152i | 0.466420 | + | 0.634587i | 0.973873 | − | 0.227092i | \(-0.0729218\pi\) |
−0.507453 | + | 0.861679i | \(0.669413\pi\) | |||||||
\(662\) | 2.33423 | − | 1.61852i | 0.0907226 | − | 0.0629057i | ||||
\(663\) | 0.0953504 | + | 0.0830407i | 0.00370310 | + | 0.00322503i | ||||
\(664\) | −4.38240 | − | 3.41096i | −0.170070 | − | 0.132371i | ||||
\(665\) | −13.7719 | + | 30.2304i | −0.534052 | + | 1.17229i | ||||
\(666\) | 20.2440 | − | 15.7566i | 0.784441 | − | 0.610555i | ||||
\(667\) | −18.8784 | − | 1.04155i | −0.730975 | − | 0.0403290i | ||||
\(668\) | 5.90360 | + | 10.2253i | 0.228417 | + | 0.395630i | ||||
\(669\) | −4.15257 | − | 2.87933i | −0.160548 | − | 0.111321i | ||||
\(670\) | 7.86815 | − | 15.5479i | 0.303973 | − | 0.600667i | ||||
\(671\) | −10.7523 | + | 6.60943i | −0.415089 | + | 0.255154i | ||||
\(672\) | 1.85016 | + | 0.635161i | 0.0713715 | + | 0.0245019i | ||||
\(673\) | 10.3144 | − | 5.58190i | 0.397592 | − | 0.215166i | −0.264833 | − | 0.964294i | \(-0.585317\pi\) |
0.662425 | + | 0.749128i | \(0.269527\pi\) | |||||||
\(674\) | −2.15606 | + | 11.0378i | −0.0830484 | + | 0.425162i | ||||
\(675\) | 11.1419 | + | 7.72563i | 0.428852 | + | 0.297360i | ||||
\(676\) | 12.8206 | + | 2.13938i | 0.493100 | + | 0.0822839i | ||||
\(677\) | −0.992693 | + | 2.26311i | −0.0381523 | + | 0.0869785i | −0.933816 | − | 0.357753i | \(-0.883543\pi\) |
0.895664 | + | 0.444731i | \(0.146701\pi\) | |||||||
\(678\) | −9.58990 | + | 8.35185i | −0.368298 | + | 0.320751i | ||||
\(679\) | −12.4806 | − | 33.3341i | −0.478960 | − | 1.27924i | ||||
\(680\) | 3.74825 | − | 10.0111i | 0.143739 | − | 0.383910i | ||||
\(681\) | −4.16439 | − | 3.62677i | −0.159580 | − | 0.138978i | ||||
\(682\) | 4.27073 | − | 2.01541i | 0.163535 | − | 0.0771739i | ||||
\(683\) | 3.13559 | + | 37.8410i | 0.119980 | + | 1.44795i | 0.744858 | + | 0.667223i | \(0.232517\pi\) |
−0.624878 | + | 0.780722i | \(0.714851\pi\) | |||||||
\(684\) | −10.0493 | − | 3.60915i | −0.384245 | − | 0.137999i | ||||
\(685\) | 1.67075 | − | 20.1630i | 0.0638361 | − | 0.770387i | ||||
\(686\) | −6.51560 | − | 17.4024i | −0.248767 | − | 0.664426i | ||||
\(687\) | 20.6600 | − | 5.84209i | 0.788228 | − | 0.222890i | ||||
\(688\) | 2.34157 | − | 0.951062i | 0.0892714 | − | 0.0362589i | ||||
\(689\) | −0.0206580 | + | 0.0660474i | −0.000787009 | + | 0.00251621i | ||||
\(690\) | 4.09777 | − | 10.9447i | 0.155999 | − | 0.416656i | ||||
\(691\) | 28.3338 | + | 22.0531i | 1.07787 | + | 0.838938i | 0.987602 | − | 0.156980i | \(-0.0501758\pi\) |
0.0902655 | + | 0.995918i | \(0.471228\pi\) | |||||||
\(692\) | −5.45303 | + | 8.34648i | −0.207293 | + | 0.317286i | ||||
\(693\) | −9.02951 | − | 2.55330i | −0.343003 | − | 0.0969920i | ||||
\(694\) | 2.84352 | − | 4.92513i | 0.107939 | − | 0.186955i | ||||
\(695\) | −12.6407 | − | 9.83866i | −0.479489 | − | 0.373202i | ||||
\(696\) | 0.212515 | − | 2.56467i | 0.00805535 | − | 0.0972136i | ||||
\(697\) | 15.2431 | − | 0.840984i | 0.577373 | − | 0.0318546i | ||||
\(698\) | 2.01843 | + | 10.3332i | 0.0763987 | + | 0.391119i | ||||
\(699\) | 7.38874 | − | 1.65585i | 0.279468 | − | 0.0626302i | ||||
\(700\) | −3.99287 | + | 7.89013i | −0.150916 | + | 0.298219i | ||||
\(701\) | 1.31077 | + | 47.5523i | 0.0495071 | + | 1.79603i | 0.463859 | + | 0.885909i | \(0.346465\pi\) |
−0.414352 | + | 0.910117i | \(0.635992\pi\) | |||||||
\(702\) | 0.126181 | − | 0.137069i | 0.00476240 | − | 0.00517334i | ||||
\(703\) | 32.2671 | + | 32.2881i | 1.21698 | + | 1.21777i | ||||
\(704\) | −0.983907 | − | 1.06881i | −0.0370824 | − | 0.0402822i | ||||
\(705\) | −4.90645 | + | 4.77307i | −0.184788 | + | 0.179764i | ||||
\(706\) | 0.0723128 | + | 2.62337i | 0.00272153 | + | 0.0987319i | ||||
\(707\) | 2.40341 | − | 12.3041i | 0.0903896 | − | 0.462744i | ||||
\(708\) | −0.906598 | + | 6.53791i | −0.0340720 | + | 0.245710i | ||||
\(709\) | 0.975249 | + | 3.11804i | 0.0366262 | + | 0.117101i | 0.970920 | − | 0.239402i | \(-0.0769515\pi\) |
−0.934294 | + | 0.356503i | \(0.883969\pi\) | |||||||
\(710\) | 21.7647 | + | 33.3133i | 0.816813 | + | 1.25023i | ||||
\(711\) | −0.599760 | + | 7.23802i | −0.0224928 | + | 0.271447i | ||||
\(712\) | 2.35393 | − | 6.28706i | 0.0882172 | − | 0.235618i | ||||
\(713\) | −16.0231 | − | 7.56149i | −0.600070 | − | 0.283180i | ||||
\(714\) | −2.90624 | − | 6.62557i | −0.108763 | − | 0.247956i | ||||
\(715\) | 0.0474989 | + | 0.187569i | 0.00177636 | + | 0.00701468i | ||||
\(716\) | −15.1413 | − | 10.4987i | −0.565857 | − | 0.392356i | ||||
\(717\) | −0.0386584 | − | 1.40246i | −0.00144372 | − | 0.0523756i | ||||
\(718\) | 12.6319 | + | 12.2885i | 0.471420 | + | 0.458604i | ||||
\(719\) | 51.7617 | + | 11.6001i | 1.93038 | + | 0.432609i | 0.997344 | + | 0.0728401i | \(0.0232063\pi\) |
0.933041 | + | 0.359769i | \(0.117145\pi\) | |||||||
\(720\) | −6.55969 | − | 2.66432i | −0.244465 | − | 0.0992932i | ||||
\(721\) | 13.6522 | 0.508434 | ||||||||
\(722\) | 4.16700 | − | 18.5374i | 0.155080 | − | 0.689892i | ||||
\(723\) | 18.6712 | 0.694390 | ||||||||
\(724\) | 3.87436 | + | 1.57363i | 0.143990 | + | 0.0584835i | ||||
\(725\) | 11.3519 | + | 2.54403i | 0.421601 | + | 0.0944829i | ||||
\(726\) | 4.72705 | + | 4.59855i | 0.175437 | + | 0.170668i | ||||
\(727\) | 0.579541 | + | 21.0247i | 0.0214940 | + | 0.779763i | 0.931200 | + | 0.364509i | \(0.118763\pi\) |
−0.909706 | + | 0.415253i | \(0.863693\pi\) | |||||||
\(728\) | 0.0998550 | + | 0.0692379i | 0.00370087 | + | 0.00256613i | ||||
\(729\) | −0.406883 | − | 1.60674i | −0.0150697 | − | 0.0595090i | ||||
\(730\) | −5.64196 | − | 12.8624i | −0.208818 | − | 0.476058i | ||||
\(731\) | −8.45350 | − | 3.98930i | −0.312664 | − | 0.147550i | ||||
\(732\) | −2.25995 | + | 6.03606i | −0.0835302 | + | 0.223099i | ||||
\(733\) | −0.0243784 | + | 0.294204i | −0.000900437 | + | 0.0108667i | −0.997020 | − | 0.0771448i | \(-0.975420\pi\) |
0.996119 | + | 0.0880115i | \(0.0280512\pi\) | |||||||
\(734\) | 1.71089 | + | 2.61871i | 0.0631500 | + | 0.0966583i | ||||
\(735\) | −0.0302011 | − | 0.0965583i | −0.00111398 | − | 0.00356161i | ||||
\(736\) | −0.748634 | + | 5.39876i | −0.0275950 | + | 0.199001i | ||||
\(737\) | −1.67910 | + | 8.59605i | −0.0618504 | + | 0.316640i | ||||
\(738\) | −0.278608 | − | 10.1074i | −0.0102557 | − | 0.372057i | ||||
\(739\) | −1.89001 | + | 1.83863i | −0.0695253 | + | 0.0676353i | −0.731239 | − | 0.682121i | \(-0.761058\pi\) |
0.661714 | + | 0.749757i | \(0.269829\pi\) | |||||||
\(740\) | 20.4997 | + | 22.2686i | 0.753583 | + | 0.818609i | ||||
\(741\) | 0.121248 | + | 0.0866293i | 0.00445417 | + | 0.00318241i | ||||
\(742\) | 2.68187 | − | 2.91329i | 0.0984546 | − | 0.106950i | ||||
\(743\) | −1.14015 | − | 41.3624i | −0.0418279 | − | 1.51744i | −0.671749 | − | 0.740779i | \(-0.734457\pi\) |
0.629921 | − | 0.776659i | \(-0.283087\pi\) | |||||||
\(744\) | 1.08890 | − | 2.15173i | 0.0399211 | − | 0.0788862i | ||||
\(745\) | −20.7174 | + | 4.64288i | −0.759027 | + | 0.170102i | ||||
\(746\) | 5.74426 | + | 29.4074i | 0.210312 | + | 1.07668i | ||||
\(747\) | 13.5832 | − | 0.749404i | 0.496982 | − | 0.0274192i | ||||
\(748\) | −0.443700 | + | 5.35466i | −0.0162233 | + | 0.195786i | ||||
\(749\) | −2.65735 | − | 2.06830i | −0.0970974 | − | 0.0755739i | ||||
\(750\) | 1.76505 | − | 3.05715i | 0.0644504 | − | 0.111631i | ||||
\(751\) | −50.0944 | − | 14.1654i | −1.82797 | − | 0.516901i | −0.828877 | − | 0.559431i | \(-0.811020\pi\) |
−0.999095 | + | 0.0425299i | \(0.986458\pi\) | |||||||
\(752\) | 1.74609 | − | 2.67259i | 0.0636734 | − | 0.0974594i | ||||
\(753\) | −15.6762 | − | 12.2013i | −0.571274 | − | 0.444641i | ||||
\(754\) | 0.0560517 | − | 0.149708i | 0.00204128 | − | 0.00545203i | ||||
\(755\) | −13.6732 | + | 43.7156i | −0.497618 | + | 1.59097i | ||||
\(756\) | −9.87672 | + | 4.01158i | −0.359213 | + | 0.145900i | ||||
\(757\) | −41.4118 | + | 11.7101i | −1.50514 | + | 0.425612i | −0.922138 | − | 0.386861i | \(-0.873559\pi\) |
−0.582999 | + | 0.812473i | \(0.698121\pi\) | |||||||
\(758\) | 4.22369 | + | 11.2810i | 0.153411 | + | 0.409743i | ||||
\(759\) | −0.485074 | + | 5.85397i | −0.0176071 | + | 0.212486i | ||||
\(760\) | 3.26466 | − | 12.1680i | 0.118422 | − | 0.441381i | ||||
\(761\) | 3.64542 | + | 43.9937i | 0.132146 | + | 1.59477i | 0.663867 | + | 0.747850i | \(0.268914\pi\) |
−0.531721 | + | 0.846920i | \(0.678454\pi\) | |||||||
\(762\) | 4.65153 | − | 2.19511i | 0.168507 | − | 0.0795204i | ||||
\(763\) | 39.8760 | + | 34.7281i | 1.44361 | + | 1.25724i | ||||
\(764\) | −5.00411 | + | 13.3654i | −0.181042 | + | 0.483543i | ||||
\(765\) | 9.18189 | + | 24.5237i | 0.331972 | + | 0.886658i | ||||
\(766\) | −20.2664 | + | 17.6500i | −0.732253 | + | 0.637720i | ||||
\(767\) | −0.164697 | + | 0.375471i | −0.00594685 | + | 0.0135575i | ||||
\(768\) | −0.731742 | − | 0.122106i | −0.0264045 | − | 0.00440612i | ||||
\(769\) | −1.16239 | − | 0.805983i | −0.0419168 | − | 0.0290645i | 0.548664 | − | 0.836043i | \(-0.315137\pi\) |
−0.590581 | + | 0.806978i | \(0.701101\pi\) | |||||||
\(770\) | 2.12251 | − | 10.8661i | 0.0764898 | − | 0.391585i | ||||
\(771\) | −1.11882 | + | 0.605474i | −0.0402932 | + | 0.0218056i | ||||
\(772\) | −8.28461 | − | 2.84411i | −0.298170 | − | 0.102362i | ||||
\(773\) | −3.32304 | + | 2.04267i | −0.119521 | + | 0.0734696i | −0.582144 | − | 0.813086i | \(-0.697786\pi\) |
0.462622 | + | 0.886556i | \(0.346909\pi\) | |||||||
\(774\) | −2.79548 | + | 5.52402i | −0.100482 | + | 0.198557i | ||||
\(775\) | 8.95874 | + | 6.21185i | 0.321808 | + | 0.223136i | ||||
\(776\) | 6.74940 | + | 11.6903i | 0.242289 | + | 0.419657i | ||||
\(777\) | 20.4542 | + | 1.12849i | 0.733790 | + | 0.0404843i | ||||
\(778\) | 6.54655 | − | 5.09538i | 0.234705 | − | 0.182678i | ||||
\(779\) | 17.7865 | − | 2.71078i | 0.637268 | − | 0.0971238i | ||||
\(780\) | 0.0779738 | + | 0.0606895i | 0.00279191 | + | 0.00217303i | ||||
\(781\) | −15.0829 | − | 13.1357i | −0.539710 | − | 0.470034i | ||||
\(782\) | 16.5660 | − | 11.4866i | 0.592398 | − | 0.410760i | ||||
\(783\) | 8.30577 | + | 11.3004i | 0.296824 | + | 0.403844i | ||||
\(784\) | 0.0235921 | + | 0.0408628i | 0.000842577 | + | 0.00145939i | ||||
\(785\) | −4.62099 | + | 23.6569i | −0.164930 | + | 0.844350i | ||||
\(786\) | −1.15385 | + | 1.25341i | −0.0411564 | + | 0.0447077i | ||||
\(787\) | −7.64613 | + | 2.62492i | −0.272555 | + | 0.0935683i | −0.457589 | − | 0.889164i | \(-0.651287\pi\) |
0.185034 | + | 0.982732i | \(0.440761\pi\) | |||||||
\(788\) | 4.28643 | − | 5.20472i | 0.152698 | − | 0.185411i | ||||
\(789\) | −8.71423 | − | 0.964491i | −0.310235 | − | 0.0343368i | ||||
\(790\) | −8.56921 | −0.304879 | ||||||||
\(791\) | 45.2001 | 1.60713 | ||||||||
\(792\) | 3.53707 | + | 0.391483i | 0.125684 | + | 0.0139107i | ||||
\(793\) | −0.237109 | + | 0.322598i | −0.00841999 | + | 0.0114558i | ||||
\(794\) | −1.01564 | + | 36.8455i | −0.0360437 | + | 1.30760i | ||||
\(795\) | 2.30800 | − | 2.24525i | 0.0818562 | − | 0.0796309i | ||||
\(796\) | 7.47060 | − | 14.7623i | 0.264788 | − | 0.523236i | ||||
\(797\) | −4.99485 | − | 0.833493i | −0.176927 | − | 0.0295238i | 0.0754680 | − | 0.997148i | \(-0.475955\pi\) |
−0.252395 | + | 0.967624i | \(0.581218\pi\) | |||||||
\(798\) | −4.15876 | − | 7.44370i | −0.147219 | − | 0.263504i | ||||
\(799\) | −11.6463 | + | 1.94343i | −0.412018 | + | 0.0687537i | ||||
\(800\) | 1.00111 | − | 3.20072i | 0.0353945 | − | 0.113163i | ||||
\(801\) | 5.76628 | + | 15.4011i | 0.203742 | + | 0.544170i | ||||
\(802\) | 4.79768 | − | 0.264695i | 0.169412 | − | 0.00934672i | ||||
\(803\) | 4.48796 | + | 5.44943i | 0.158377 | + | 0.192306i | ||||
\(804\) | 2.01956 | + | 3.99076i | 0.0712244 | + | 0.140743i | ||||
\(805\) | −36.5318 | + | 19.7700i | −1.28758 | + | 0.696801i | ||||
\(806\) | 0.101457 | − | 0.110212i | 0.00357367 | − | 0.00388204i | ||||
\(807\) | −2.44357 | − | 2.37714i | −0.0860177 | − | 0.0836793i | ||||
\(808\) | −0.131006 | + | 4.75266i | −0.00460878 | + | 0.167198i | ||||
\(809\) | 9.51036 | + | 5.14675i | 0.334367 | + | 0.180950i | 0.634452 | − | 0.772962i | \(-0.281226\pi\) |
−0.300086 | + | 0.953912i | \(0.597015\pi\) | |||||||
\(810\) | 11.8906 | − | 4.08204i | 0.417792 | − | 0.143428i | ||||
\(811\) | −15.5171 | − | 15.0953i | −0.544879 | − | 0.530066i | 0.372526 | − | 0.928022i | \(-0.378492\pi\) |
−0.917405 | + | 0.397955i | \(0.869720\pi\) | |||||||
\(812\) | −6.55637 | + | 6.37813i | −0.230083 | + | 0.223829i | ||||
\(813\) | −10.2531 | + | 6.30256i | −0.359592 | + | 0.221040i | ||||
\(814\) | −12.9605 | − | 7.96682i | −0.454267 | − | 0.279237i | ||||
\(815\) | −38.7359 | − | 47.0344i | −1.35686 | − | 1.64754i | ||||
\(816\) | 1.50072 | + | 2.29703i | 0.0525359 | + | 0.0804121i | ||||
\(817\) | −10.3680 | − | 3.72362i | −0.362732 | − | 0.130273i | ||||
\(818\) | 18.5509 | − | 28.3943i | 0.648618 | − | 0.992784i | ||||
\(819\) | −0.295852 | + | 0.0327449i | −0.0103379 | + | 0.00114420i | ||||
\(820\) | 11.8575 | − | 1.31239i | 0.414082 | − | 0.0458306i | ||||
\(821\) | 1.52560 | − | 2.64241i | 0.0532436 | − | 0.0922207i | −0.838175 | − | 0.545401i | \(-0.816377\pi\) |
0.891419 | + | 0.453180i | \(0.149711\pi\) | |||||||
\(822\) | 3.91613 | + | 3.41056i | 0.136591 | + | 0.118957i | ||||
\(823\) | −22.4764 | − | 10.6069i | −0.783478 | − | 0.369732i | −0.00707979 | − | 0.999975i | \(-0.502254\pi\) |
−0.776398 | + | 0.630243i | \(0.782955\pi\) | |||||||
\(824\) | −5.10691 | + | 0.852192i | −0.177907 | + | 0.0296875i | ||||
\(825\) | 0.887254 | − | 3.50369i | 0.0308902 | − | 0.121983i | ||||
\(826\) | 17.6916 | − | 15.4076i | 0.615568 | − | 0.536099i | ||||
\(827\) | 2.96354 | − | 0.163503i | 0.103053 | − | 0.00568557i | −0.00348809 | − | 0.999994i | \(-0.501110\pi\) |
0.106541 | + | 0.994308i | \(0.466023\pi\) | |||||||
\(828\) | −7.30262 | − | 11.1775i | −0.253784 | − | 0.388445i | ||||
\(829\) | −6.68627 | + | 5.20414i | −0.232224 | + | 0.180747i | −0.723640 | − | 0.690178i | \(-0.757532\pi\) |
0.491416 | + | 0.870925i | \(0.336480\pi\) | |||||||
\(830\) | 2.20463 | + | 15.8986i | 0.0765238 | + | 0.551849i | ||||
\(831\) | 6.63692 | − | 4.60194i | 0.230232 | − | 0.159639i | ||||
\(832\) | −0.0416749 | − | 0.0196669i | −0.00144482 | − | 0.000681826i | ||||
\(833\) | 0.0520950 | − | 0.166557i | 0.00180499 | − | 0.00577086i | ||||
\(834\) | 3.95637 | − | 1.11876i | 0.136998 | − | 0.0387393i | ||||
\(835\) | 8.37742 | − | 33.0817i | 0.289913 | − | 1.14484i | ||||
\(836\) | 0.0851903 | + | 6.33173i | 0.00294637 | + | 0.218987i | ||||
\(837\) | 3.22621 | + | 12.7400i | 0.111514 | + | 0.440360i | ||||
\(838\) | 3.15502 | + | 5.46465i | 0.108988 | + | 0.188773i | ||||
\(839\) | 4.29453 | − | 30.9699i | 0.148264 | − | 1.06920i | −0.759737 | − | 0.650231i | \(-0.774672\pi\) |
0.908001 | − | 0.418969i | \(-0.137608\pi\) | |||||||
\(840\) | −2.55288 | − | 5.04462i | −0.0880826 | − | 0.174056i | ||||
\(841\) | −14.4541 | − | 8.88491i | −0.498418 | − | 0.306376i | ||||
\(842\) | 19.0172 | − | 4.26186i | 0.655377 | − | 0.146873i | ||||
\(843\) | −15.2181 | − | 2.53945i | −0.524138 | − | 0.0874632i | ||||
\(844\) | 0.303549 | + | 1.19869i | 0.0104486 | + | 0.0412606i | ||||
\(845\) | −22.2487 | − | 30.2704i | −0.765378 | − | 1.04133i | ||||
\(846\) | 1.07415 | + | 7.74619i | 0.0369299 | + | 0.266319i | ||||
\(847\) | −1.93568 | − | 23.3601i | −0.0665106 | − | 0.802664i | ||||
\(848\) | −0.821362 | + | 1.25719i | −0.0282057 | + | 0.0431720i | ||||
\(849\) | −2.88922 | + | 5.00427i | −0.0991576 | + | 0.171746i | ||||
\(850\) | −11.2173 | + | 5.29357i | −0.384750 | + | 0.181568i | ||||
\(851\) | 7.83988 | + | 56.5371i | 0.268748 | + | 1.93807i | ||||
\(852\) | −10.1984 | − | 0.562659i | −0.349390 | − | 0.0192764i | ||||
\(853\) | −5.45219 | + | 39.3184i | −0.186680 | + | 1.34624i | 0.633328 | + | 0.773883i | \(0.281688\pi\) |
−0.820008 | + | 0.572352i | \(0.806031\pi\) | |||||||
\(854\) | 20.1475 | − | 10.9033i | 0.689435 | − | 0.373103i | ||||
\(855\) | 13.5453 | + | 27.7301i | 0.463238 | + | 0.948350i | ||||
\(856\) | 1.12315 | + | 0.607817i | 0.0383884 | + | 0.0207747i | ||||
\(857\) | 11.8760 | − | 16.1579i | 0.405676 | − | 0.551942i | −0.554194 | − | 0.832388i | \(-0.686973\pi\) |
0.959870 | + | 0.280445i | \(0.0904822\pi\) | |||||||
\(858\) | −0.0460134 | − | 0.0186890i | −0.00157087 | − | 0.000638033i | ||||
\(859\) | −34.4132 | − | 3.80885i | −1.17416 | − | 0.129956i | −0.498314 | − | 0.866997i | \(-0.666047\pi\) |
−0.675848 | + | 0.737041i | \(0.736223\pi\) | |||||||
\(860\) | −6.76775 | − | 2.74882i | −0.230778 | − | 0.0937340i | ||||
\(861\) | 5.13299 | − | 6.23265i | 0.174932 | − | 0.212408i | ||||
\(862\) | −7.39873 | − | 4.00399i | −0.252002 | − | 0.136377i | ||||
\(863\) | −18.0356 | − | 19.5919i | −0.613941 | − | 0.666917i | 0.348846 | − | 0.937180i | \(-0.386574\pi\) |
−0.962787 | + | 0.270263i | \(0.912889\pi\) | |||||||
\(864\) | 3.44420 | − | 2.11714i | 0.117174 | − | 0.0720266i | ||||
\(865\) | 28.1183 | − | 6.30145i | 0.956049 | − | 0.214256i | ||||
\(866\) | −15.5026 | + | 35.3424i | −0.526800 | + | 1.20098i | ||||
\(867\) | −0.604740 | + | 2.38807i | −0.0205381 | + | 0.0811030i | ||||
\(868\) | −7.94146 | + | 3.22554i | −0.269551 | + | 0.109482i | ||||
\(869\) | 4.14461 | − | 1.17198i | 0.140596 | − | 0.0397569i | ||||
\(870\) | −5.60903 | + | 4.88491i | −0.190164 | + | 0.165614i | ||||
\(871\) | 0.0532631 | + | 0.272677i | 0.00180475 | + | 0.00923932i | ||||
\(872\) | −17.0843 | − | 10.5017i | −0.578547 | − | 0.355632i | ||||
\(873\) | −31.2756 | − | 10.7369i | −1.05852 | − | 0.363390i | ||||
\(874\) | 18.1342 | − | 15.3488i | 0.613399 | − | 0.519180i | ||||
\(875\) | −11.8673 | + | 4.07405i | −0.401188 | + | 0.137728i | ||||
\(876\) | 3.51784 | + | 0.788367i | 0.118857 | + | 0.0266365i | ||||
\(877\) | 7.08963 | − | 9.64580i | 0.239400 | − | 0.325715i | −0.669435 | − | 0.742870i | \(-0.733464\pi\) |
0.908835 | + | 0.417155i | \(0.136973\pi\) | |||||||
\(878\) | 15.5029 | − | 18.8241i | 0.523197 | − | 0.635283i | ||||
\(879\) | 2.31388 | + | 0.518552i | 0.0780452 | + | 0.0174903i | ||||
\(880\) | −0.115694 | + | 4.19718i | −0.00390006 | + | 0.141487i | ||||
\(881\) | −28.7993 | − | 31.2844i | −0.970273 | − | 1.05400i | −0.998519 | − | 0.0543966i | \(-0.982676\pi\) |
0.0282462 | − | 0.999601i | \(-0.491008\pi\) | |||||||
\(882\) | −0.109322 | − | 0.0375303i | −0.00368106 | − | 0.00126371i | ||||
\(883\) | 7.17901 | + | 14.1861i | 0.241593 | + | 0.477401i | 0.980529 | − | 0.196375i | \(-0.0629170\pi\) |
−0.738936 | + | 0.673776i | \(0.764671\pi\) | |||||||
\(884\) | 0.0508784 | + | 0.162667i | 0.00171123 | + | 0.00547110i | ||||
\(885\) | 15.0545 | − | 11.7174i | 0.506052 | − | 0.393876i | ||||
\(886\) | −3.22196 | − | 38.8833i | −0.108244 | − | 1.30631i | ||||
\(887\) | −20.4365 | − | 5.77889i | −0.686191 | − | 0.194036i | −0.0888754 | − | 0.996043i | \(-0.528327\pi\) |
−0.597315 | + | 0.802007i | \(0.703766\pi\) | |||||||
\(888\) | −7.72179 | + | 0.854647i | −0.259126 | + | 0.0286801i | ||||
\(889\) | −17.5918 | − | 4.97449i | −0.590010 | − | 0.166839i | ||||
\(890\) | −17.5474 | + | 8.28081i | −0.588190 | + | 0.277573i | ||||
\(891\) | −5.19275 | + | 3.60057i | −0.173964 | + | 0.120624i | ||||
\(892\) | −2.73614 | − | 6.23777i | −0.0916127 | − | 0.208856i | ||||
\(893\) | −13.4425 | + | 3.59721i | −0.449835 | + | 0.120376i | ||||
\(894\) | 2.18906 | − | 4.99055i | 0.0732130 | − | 0.166909i | ||||
\(895\) | 10.2092 | + | 52.2655i | 0.341257 | + | 1.74704i | ||||
\(896\) | 1.67629 | + | 2.03540i | 0.0560009 | + | 0.0679981i | ||||
\(897\) | 0.0556227 | + | 0.177836i | 0.00185719 | + | 0.00593776i | ||||
\(898\) | −2.80710 | − | 0.154872i | −0.0936742 | − | 0.00516815i | ||||
\(899\) | 6.67832 | + | 9.08618i | 0.222734 | + | 0.303041i | ||||
\(900\) | 3.30001 | + | 7.52327i | 0.110000 | + | 0.250776i | ||||
\(901\) | 5.47844 | − | 0.914191i | 0.182513 | − | 0.0304561i | ||||
\(902\) | −5.55555 | + | 2.25647i | −0.184980 | + | 0.0751323i | ||||
\(903\) | −4.58045 | + | 1.86042i | −0.152428 | + | 0.0619109i | ||||
\(904\) | −16.9081 | + | 2.82147i | −0.562356 | + | 0.0938406i | ||||
\(905\) | −4.85504 | − | 11.0684i | −0.161387 | − | 0.367925i | ||||
\(906\) | −6.96277 | − | 9.47319i | −0.231323 | − | 0.314726i | ||||
\(907\) | −8.22857 | − | 0.453983i | −0.273225 | − | 0.0150742i | −0.0820428 | − | 0.996629i | \(-0.526144\pi\) |
−0.191182 | + | 0.981555i | \(0.561232\pi\) | |||||||
\(908\) | −2.22210 | − | 7.10443i | −0.0737428 | − | 0.235769i | ||||
\(909\) | −7.40412 | − | 8.99032i | −0.245579 | − | 0.298190i | ||||
\(910\) | −0.0673285 | − | 0.344685i | −0.00223192 | − | 0.0114262i | ||||
\(911\) | 14.0847 | − | 32.1099i | 0.466648 | − | 1.06385i | −0.512127 | − | 0.858910i | \(-0.671142\pi\) |
0.978775 | − | 0.204940i | \(-0.0656998\pi\) | |||||||
\(912\) | 2.02033 | + | 2.52489i | 0.0668997 | + | 0.0836073i | ||||
\(913\) | −3.24071 | − | 7.38806i | −0.107252 | − | 0.244509i | ||||
\(914\) | 2.71221 | − | 1.88061i | 0.0897120 | − | 0.0622049i | ||||
\(915\) | 16.8468 | − | 7.95021i | 0.556939 | − | 0.262826i | ||||
\(916\) | 27.8489 | + | 7.87492i | 0.920154 | + | 0.260195i | ||||
\(917\) | 6.01858 | − | 0.666136i | 0.198751 | − | 0.0219977i | ||||
\(918\) | −14.3886 | − | 4.06871i | −0.474895 | − | 0.134288i | ||||
\(919\) | −4.44699 | − | 53.6672i | −0.146693 | − | 1.77032i | −0.531249 | − | 0.847216i | \(-0.678277\pi\) |
0.384556 | − | 0.923102i | \(-0.374355\pi\) | |||||||
\(920\) | 12.4314 | − | 9.67578i | 0.409853 | − | 0.319001i | ||||
\(921\) | 0.00313071 | + | 0.0100094i | 0.000103161 | + | 0.000329823i | ||||
\(922\) | 18.4471 | + | 36.4524i | 0.607522 | + | 1.20050i | ||||
\(923\) | −0.600082 | − | 0.206008i | −0.0197519 | − | 0.00678085i | ||||
\(924\) | 1.92467 | + | 2.09075i | 0.0633170 | + | 0.0687806i | ||||
\(925\) | 0.967710 | − | 35.1067i | 0.0318181 | − | 1.15430i | ||||
\(926\) | −29.1636 | − | 6.53572i | −0.958375 | − | 0.214777i | ||||
\(927\) | 8.06294 | − | 9.79028i | 0.264822 | − | 0.321555i | ||||
\(928\) | 2.05442 | − | 2.79514i | 0.0674397 | − | 0.0917551i | ||||
\(929\) | −14.6552 | − | 3.28431i | −0.480822 | − | 0.107755i | −0.0284710 | − | 0.999595i | \(-0.509064\pi\) |
−0.452351 | + | 0.891840i | \(0.649415\pi\) | |||||||
\(930\) | −6.59241 | + | 2.26318i | −0.216174 | + | 0.0742125i | ||||
\(931\) | 0.0422724 | − | 0.201281i | 0.00138542 | − | 0.00659670i | ||||
\(932\) | 9.65376 | + | 3.31414i | 0.316219 | + | 0.108558i | ||||
\(933\) | −16.1978 | − | 9.95675i | −0.530292 | − | 0.325969i | ||||
\(934\) | −1.22314 | − | 6.26182i | −0.0400225 | − | 0.204893i | ||||
\(935\) | 11.7108 | − | 10.1990i | 0.382986 | − | 0.333542i | ||||
\(936\) | 0.108626 | − | 0.0307165i | 0.00355055 | − | 0.00100400i | ||||
\(937\) | −41.8302 | + | 16.9899i | −1.36653 | + | 0.555037i | −0.937416 | − | 0.348212i | \(-0.886789\pi\) |
−0.429116 | + | 0.903249i | \(0.641175\pi\) | |||||||
\(938\) | 3.90258 | − | 15.4109i | 0.127424 | − | 0.503184i | ||||
\(939\) | 2.34152 | − | 5.33813i | 0.0764126 | − | 0.174203i | ||||
\(940\) | −9.00363 | + | 2.01776i | −0.293666 | + | 0.0658121i | ||||
\(941\) | −29.3263 | + | 18.0268i | −0.956009 | + | 0.587656i | −0.911477 | − | 0.411351i | \(-0.865057\pi\) |
−0.0445321 | + | 0.999008i | \(0.514180\pi\) | |||||||
\(942\) | −4.19027 | − | 4.55185i | −0.136526 | − | 0.148307i | ||||
\(943\) | 19.7857 | + | 10.7075i | 0.644313 | + | 0.348685i | ||||
\(944\) | −5.65616 | + | 6.86789i | −0.184092 | + | 0.223531i | ||||
\(945\) | 28.5464 | + | 11.5945i | 0.928613 | + | 0.377170i | ||||
\(946\) | 3.64926 | + | 0.403900i | 0.118648 | + | 0.0131319i | ||||
\(947\) | 29.4624 | + | 11.9666i | 0.957400 | + | 0.388862i | 0.800888 | − | 0.598814i | \(-0.204361\pi\) |
0.156512 | + | 0.987676i | \(0.449975\pi\) | |||||||
\(948\) | 1.30262 | − | 1.77228i | 0.0423072 | − | 0.0575611i | ||||
\(949\) | 0.196949 | + | 0.106583i | 0.00639323 | + | 0.00345984i | ||||
\(950\) | −12.5602 | + | 7.47872i | −0.407507 | + | 0.242642i | ||||
\(951\) | −4.74683 | + | 2.56885i | −0.153926 | + | 0.0833008i | ||||
\(952\) | 1.33953 | − | 9.66001i | 0.0434145 | − | 0.313083i | ||||
\(953\) | −41.0490 | − | 2.26474i | −1.32971 | − | 0.0733621i | −0.623755 | − | 0.781620i | \(-0.714394\pi\) |
−0.705954 | + | 0.708258i | \(0.749481\pi\) | |||||||
\(954\) | −0.505279 | − | 3.64381i | −0.0163590 | − | 0.117973i | ||||
\(955\) | 37.3032 | − | 17.6038i | 1.20710 | − | 0.569646i | ||||
\(956\) | 0.945588 | − | 1.63781i | 0.0305825 | − | 0.0529705i | ||||
\(957\) | 2.04479 | − | 3.12978i | 0.0660986 | − | 0.101171i | ||||
\(958\) | 1.09192 | + | 13.1775i | 0.0352783 | + | 0.425745i | ||||
\(959\) | −2.53526 | − | 18.2830i | −0.0818679 | − | 0.590388i | ||||
\(960\) | 1.26985 | + | 1.72770i | 0.0409844 | + | 0.0557612i | ||||
\(961\) | −5.01599 | − | 19.8077i | −0.161806 | − | 0.638958i | ||||
\(962\) | −0.476004 | − | 0.0794311i | −0.0153470 | − | 0.00256096i | ||||
\(963\) | −3.05264 | + | 0.684113i | −0.0983700 | + | 0.0220452i | ||||
\(964\) | 21.4412 | + | 13.1799i | 0.690575 | + | 0.424495i | ||||
\(965\) | 11.4312 | + | 22.5887i | 0.367984 | + | 0.727156i | ||||
\(966\) | 1.46444 | − | 10.5608i | 0.0471176 | − | 0.339788i | ||||
\(967\) | −5.95359 | − | 10.3119i | −0.191455 | − | 0.331609i | 0.754278 | − | 0.656555i | \(-0.227987\pi\) |
−0.945733 | + | 0.324946i | \(0.894654\pi\) | |||||||
\(968\) | 2.18226 | + | 8.61756i | 0.0701405 | + | 0.276979i | ||||
\(969\) | 1.80967 | − | 11.8223i | 0.0581349 | − | 0.379787i | ||||
\(970\) | 9.57764 | − | 37.8212i | 0.307519 | − | 1.21437i | ||||
\(971\) | −2.00506 | + | 0.566976i | −0.0643454 | + | 0.0181951i | −0.304124 | − | 0.952632i | \(-0.598364\pi\) |
0.239779 | + | 0.970828i | \(0.422925\pi\) | |||||||
\(972\) | −4.58384 | + | 14.6553i | −0.147027 | + | 0.470070i | ||||
\(973\) | −13.2160 | − | 6.23678i | −0.423685 | − | 0.199942i | ||||
\(974\) | 31.7977 | − | 22.0480i | 1.01886 | − | 0.706464i | ||||
\(975\) | −0.0157475 | − | 0.113563i | −0.000504324 | − | 0.00363692i | ||||
\(976\) | −6.85604 | + | 5.33627i | −0.219456 | + | 0.170810i | ||||
\(977\) | −6.13652 | − | 9.39265i | −0.196325 | − | 0.300498i | 0.725411 | − | 0.688316i | \(-0.241650\pi\) |
−0.921736 | + | 0.387819i | \(0.873229\pi\) | |||||||
\(978\) | 15.6160 | − | 0.861557i | 0.499344 | − | 0.0275496i | ||||
\(979\) | 7.35449 | − | 6.40503i | 0.235050 | − | 0.204706i | ||||
\(980\) | 0.0334781 | − | 0.132202i | 0.00106942 | − | 0.00422304i | ||||
\(981\) | 48.4549 | − | 8.08569i | 1.54705 | − | 0.258156i | ||||
\(982\) | 11.9471 | + | 5.63798i | 0.381248 | + | 0.179915i | ||||
\(983\) | −7.57562 | − | 6.59761i | −0.241625 | − | 0.210431i | 0.527457 | − | 0.849582i | \(-0.323146\pi\) |
−0.769082 | + | 0.639151i | \(0.779286\pi\) | |||||||
\(984\) | −1.53106 | + | 2.65187i | −0.0488083 | + | 0.0845385i | ||||
\(985\) | −19.3696 | + | 2.14383i | −0.617167 | + | 0.0683081i | ||||
\(986\) | −12.7522 | + | 1.41141i | −0.406112 | + | 0.0449485i | ||||
\(987\) | −3.41562 | + | 5.22799i | −0.108720 | + | 0.166409i | ||||
\(988\) | 0.0780856 | + | 0.185070i | 0.00248423 | + | 0.00588785i | ||||
\(989\) | −7.53424 | − | 11.5320i | −0.239575 | − | 0.366697i | ||||
\(990\) | −6.53874 | − | 7.93955i | −0.207815 | − | 0.252336i | ||||
\(991\) | 48.9989 | + | 30.1195i | 1.55650 | + | 0.956777i | 0.991271 | + | 0.131843i | \(0.0420896\pi\) |
0.565229 | + | 0.824934i | \(0.308788\pi\) | |||||||
\(992\) | 2.76934 | − | 1.70231i | 0.0879265 | − | 0.0540482i | ||||
\(993\) | 1.51043 | − | 1.46936i | 0.0479319 | − | 0.0466289i | ||||
\(994\) | 26.0217 | + | 25.3143i | 0.825359 | + | 0.802921i | ||||
\(995\) | −45.2283 | + | 15.5269i | −1.43383 | + | 0.492236i | ||||
\(996\) | −3.62328 | − | 1.96082i | −0.114808 | − | 0.0621311i | ||||
\(997\) | 1.65604 | − | 60.0780i | 0.0524473 | − | 1.90269i | −0.280671 | − | 0.959804i | \(-0.590557\pi\) |
0.333118 | − | 0.942885i | \(-0.391899\pi\) | |||||||
\(998\) | 20.0378 | + | 19.4931i | 0.634286 | + | 0.617043i | ||||
\(999\) | 28.6747 | − | 31.1490i | 0.907228 | − | 0.985512i |
(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 | 722.2.i.a.501.10 | yes | 576 | |
361.49 | even | 57 | inner | 722.2.i.a.49.10 | ✓ | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
722.2.i.a.49.10 | ✓ | 576 | 361.49 | even | 57 | inner | |
722.2.i.a.501.10 | yes | 576 | 1.1 | even | 1 | trivial |