Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [294,2,Mod(41,294)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(294, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("294.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 294 = 2 \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 294.j (of order \(14\), 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: | \(2.34760181943\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 251.1 | ||
Character | \(\chi\) | \(=\) | 294.251 |
Dual form | 294.2.j.a.41.1 |
$q$-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 \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(199\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.781831 | − | 0.623490i | −0.552838 | − | 0.440874i | ||||
\(3\) | −1.59440 | − | 0.676684i | −0.920525 | − | 0.390683i | ||||
\(4\) | 0.222521 | + | 0.974928i | 0.111260 | + | 0.487464i | ||||
\(5\) | −2.59923 | − | 1.25172i | −1.16241 | − | 0.559787i | −0.249671 | − | 0.968331i | \(-0.580322\pi\) |
−0.912739 | + | 0.408544i | \(0.866037\pi\) | |||||||
\(6\) | 0.824644 | + | 1.52314i | 0.336659 | + | 0.621820i | ||||
\(7\) | −2.01156 | − | 1.71861i | −0.760298 | − | 0.649575i | ||||
\(8\) | 0.433884 | − | 0.900969i | 0.153401 | − | 0.318541i | ||||
\(9\) | 2.08420 | + | 2.15780i | 0.694733 | + | 0.719268i | ||||
\(10\) | 1.25172 | + | 2.59923i | 0.395829 | + | 0.821948i | ||||
\(11\) | 3.63779 | + | 2.90104i | 1.09684 | + | 0.874697i | 0.992789 | − | 0.119875i | \(-0.0382494\pi\) |
0.104047 | + | 0.994572i | \(0.466821\pi\) | |||||||
\(12\) | 0.304931 | − | 1.70500i | 0.0880260 | − | 0.492190i | ||||
\(13\) | −1.88273 | − | 1.50143i | −0.522177 | − | 0.416422i | 0.326609 | − | 0.945160i | \(-0.394094\pi\) |
−0.848785 | + | 0.528738i | \(0.822666\pi\) | |||||||
\(14\) | 0.501162 | + | 2.59785i | 0.133941 | + | 0.694305i | ||||
\(15\) | 3.29718 | + | 3.75460i | 0.851328 | + | 0.969432i | ||||
\(16\) | −0.900969 | + | 0.433884i | −0.225242 | + | 0.108471i | ||||
\(17\) | −1.66757 | + | 7.30612i | −0.404446 | + | 1.77199i | 0.204586 | + | 0.978849i | \(0.434415\pi\) |
−0.609032 | + | 0.793145i | \(0.708442\pi\) | |||||||
\(18\) | −0.284124 | − | 2.98652i | −0.0669686 | − | 0.703928i | ||||
\(19\) | 2.97594i | 0.682728i | 0.939931 | + | 0.341364i | \(0.110889\pi\) | ||||
−0.939931 | + | 0.341364i | \(0.889111\pi\) | |||||||
\(20\) | 0.641956 | − | 2.81259i | 0.143546 | − | 0.628915i | ||||
\(21\) | 2.04426 | + | 4.10134i | 0.446095 | + | 0.894986i | ||||
\(22\) | −1.03537 | − | 4.53625i | −0.220742 | − | 0.967132i | ||||
\(23\) | 4.11077 | − | 0.938257i | 0.857155 | − | 0.195640i | 0.228710 | − | 0.973494i | \(-0.426549\pi\) |
0.628444 | + | 0.777854i | \(0.283692\pi\) | |||||||
\(24\) | −1.30145 | + | 1.14290i | −0.265658 | + | 0.233293i | ||||
\(25\) | 2.07173 | + | 2.59786i | 0.414345 | + | 0.519573i | ||||
\(26\) | 0.535854 | + | 2.34773i | 0.105090 | + | 0.460428i | ||||
\(27\) | −1.86289 | − | 4.85074i | −0.358513 | − | 0.933525i | ||||
\(28\) | 1.22791 | − | 2.34355i | 0.232053 | − | 0.442890i | ||||
\(29\) | −5.21333 | − | 1.18991i | −0.968090 | − | 0.220960i | −0.290888 | − | 0.956757i | \(-0.593951\pi\) |
−0.677202 | + | 0.735797i | \(0.736808\pi\) | |||||||
\(30\) | −0.236886 | − | 4.99122i | −0.0432493 | − | 0.911268i | ||||
\(31\) | 6.11012i | 1.09741i | 0.836016 | + | 0.548705i | \(0.184879\pi\) | ||||
−0.836016 | + | 0.548705i | \(0.815121\pi\) | |||||||
\(32\) | 0.974928 | + | 0.222521i | 0.172345 | + | 0.0393365i | ||||
\(33\) | −3.83699 | − | 7.08705i | −0.667935 | − | 1.23370i | ||||
\(34\) | 5.85905 | − | 4.67244i | 1.00482 | − | 0.801317i | ||||
\(35\) | 3.07727 | + | 6.98498i | 0.520154 | + | 1.18068i | ||||
\(36\) | −1.63993 | + | 2.51210i | −0.273321 | + | 0.418683i | ||||
\(37\) | −0.628266 | + | 2.75262i | −0.103286 | + | 0.452527i | 0.896665 | + | 0.442709i | \(0.145982\pi\) |
−0.999952 | + | 0.00981833i | \(0.996875\pi\) | |||||||
\(38\) | 1.85547 | − | 2.32669i | 0.300997 | − | 0.377438i | ||||
\(39\) | 1.98583 | + | 3.66789i | 0.317987 | + | 0.587333i | ||||
\(40\) | −2.25553 | + | 1.79872i | −0.356630 | + | 0.284403i | ||||
\(41\) | 0.953462 | + | 0.459163i | 0.148906 | + | 0.0717092i | 0.506853 | − | 0.862033i | \(-0.330809\pi\) |
−0.357947 | + | 0.933742i | \(0.616523\pi\) | |||||||
\(42\) | 0.958874 | − | 4.48113i | 0.147957 | − | 0.691454i | ||||
\(43\) | 4.51390 | − | 2.17378i | 0.688363 | − | 0.331498i | −0.0567950 | − | 0.998386i | \(-0.518088\pi\) |
0.745158 | + | 0.666888i | \(0.232374\pi\) | |||||||
\(44\) | −2.01882 | + | 4.19213i | −0.304349 | + | 0.631987i | ||||
\(45\) | −2.71634 | − | 8.21746i | −0.404927 | − | 1.22499i | ||||
\(46\) | −3.79892 | − | 1.82947i | −0.560121 | − | 0.269740i | ||||
\(47\) | −0.950670 | + | 1.19210i | −0.138669 | + | 0.173886i | −0.846317 | − | 0.532680i | \(-0.821185\pi\) |
0.707647 | + | 0.706566i | \(0.249757\pi\) | |||||||
\(48\) | 1.73010 | − | 0.0821117i | 0.249719 | − | 0.0118518i | ||||
\(49\) | 1.09274 | + | 6.91418i | 0.156105 | + | 0.987740i | ||||
\(50\) | − | 3.32279i | − | 0.469914i | ||||||
\(51\) | 7.60270 | − | 10.5204i | 1.06459 | − | 1.47315i | ||||
\(52\) | 1.04484 | − | 2.16963i | 0.144893 | − | 0.300874i | ||||
\(53\) | −10.0766 | + | 2.29992i | −1.38413 | + | 0.315918i | −0.848794 | − | 0.528724i | \(-0.822671\pi\) |
−0.535332 | + | 0.844642i | \(0.679814\pi\) | |||||||
\(54\) | −1.56792 | + | 4.95395i | −0.213367 | + | 0.674147i | ||||
\(55\) | −5.82415 | − | 12.0940i | −0.785328 | − | 1.63075i | ||||
\(56\) | −2.42120 | + | 1.06667i | −0.323546 | + | 0.142540i | ||||
\(57\) | 2.01377 | − | 4.74483i | 0.266731 | − | 0.628468i | ||||
\(58\) | 3.33405 | + | 4.18076i | 0.437782 | + | 0.548961i | ||||
\(59\) | 7.30136 | − | 3.51615i | 0.950556 | − | 0.457764i | 0.106675 | − | 0.994294i | \(-0.465980\pi\) |
0.843881 | + | 0.536530i | \(0.180265\pi\) | |||||||
\(60\) | −2.92677 | + | 4.04999i | −0.377844 | + | 0.522851i | ||||
\(61\) | −11.6609 | − | 2.66153i | −1.49303 | − | 0.340774i | −0.603394 | − | 0.797444i | \(-0.706185\pi\) |
−0.889637 | + | 0.456669i | \(0.849042\pi\) | |||||||
\(62\) | 3.80960 | − | 4.77708i | 0.483819 | − | 0.606690i | ||||
\(63\) | −0.484057 | − | 7.92248i | −0.0609855 | − | 0.998139i | ||||
\(64\) | −0.623490 | − | 0.781831i | −0.0779362 | − | 0.0977289i | ||||
\(65\) | 3.01428 | + | 6.25922i | 0.373876 | + | 0.776361i | ||||
\(66\) | −1.41882 | + | 7.93320i | −0.174644 | + | 0.976510i | ||||
\(67\) | −12.2733 | −1.49942 | −0.749712 | − | 0.661764i | \(-0.769808\pi\) | ||||
−0.749712 | + | 0.661764i | \(0.769808\pi\) | |||||||
\(68\) | −7.49401 | −0.908782 | ||||||||
\(69\) | −7.18910 | − | 1.28574i | −0.865466 | − | 0.154785i | ||||
\(70\) | 1.94916 | − | 7.37972i | 0.232969 | − | 0.882046i | ||||
\(71\) | −12.9562 | + | 2.95718i | −1.53762 | + | 0.350952i | −0.905646 | − | 0.424035i | \(-0.860613\pi\) |
−0.631977 | + | 0.774988i | \(0.717756\pi\) | |||||||
\(72\) | 2.84841 | − | 0.941562i | 0.335689 | − | 0.110964i | ||||
\(73\) | −0.233828 | + | 0.186472i | −0.0273676 | + | 0.0218249i | −0.637078 | − | 0.770799i | \(-0.719857\pi\) |
0.609711 | + | 0.792624i | \(0.291286\pi\) | |||||||
\(74\) | 2.20743 | − | 1.76036i | 0.256608 | − | 0.204638i | ||||
\(75\) | −1.54522 | − | 5.54393i | −0.178427 | − | 0.640157i | ||||
\(76\) | −2.90133 | + | 0.662209i | −0.332805 | + | 0.0759606i | ||||
\(77\) | −2.33186 | − | 12.0876i | −0.265740 | − | 1.37751i | ||||
\(78\) | 0.734307 | − | 4.10582i | 0.0831439 | − | 0.464892i | ||||
\(79\) | 8.33881 | 0.938189 | 0.469095 | − | 0.883148i | \(-0.344580\pi\) | ||||
0.469095 | + | 0.883148i | \(0.344580\pi\) | |||||||
\(80\) | 2.88492 | 0.322544 | ||||||||
\(81\) | −0.312232 | + | 8.99458i | −0.0346924 | + | 0.999398i | ||||
\(82\) | −0.459163 | − | 0.953462i | −0.0507061 | − | 0.105292i | ||||
\(83\) | 8.04620 | + | 10.0896i | 0.883185 | + | 1.10748i | 0.993528 | + | 0.113585i | \(0.0362335\pi\) |
−0.110343 | + | 0.993894i | \(0.535195\pi\) | |||||||
\(84\) | −3.54362 | + | 2.90564i | −0.386641 | + | 0.317032i | ||||
\(85\) | 13.4796 | − | 16.9029i | 1.46207 | − | 1.83338i | ||||
\(86\) | −4.88444 | − | 1.11484i | −0.526703 | − | 0.120216i | ||||
\(87\) | 7.50692 | + | 5.42496i | 0.804826 | + | 0.581616i | ||||
\(88\) | 4.19213 | − | 2.01882i | 0.446882 | − | 0.215207i | ||||
\(89\) | −1.18218 | − | 1.48241i | −0.125311 | − | 0.157135i | 0.715218 | − | 0.698901i | \(-0.246327\pi\) |
−0.840529 | + | 0.541766i | \(0.817756\pi\) | |||||||
\(90\) | −2.99978 | + | 8.11828i | −0.316205 | + | 0.855741i | ||||
\(91\) | 1.20685 | + | 6.25591i | 0.126512 | + | 0.655797i | ||||
\(92\) | 1.82947 | + | 3.79892i | 0.190735 | + | 0.396065i | ||||
\(93\) | 4.13462 | − | 9.74195i | 0.428740 | − | 1.01019i | ||||
\(94\) | 1.48653 | − | 0.339290i | 0.153324 | − | 0.0349951i | ||||
\(95\) | 3.72505 | − | 7.73515i | 0.382182 | − | 0.793610i | ||||
\(96\) | −1.40385 | − | 1.01450i | −0.143279 | − | 0.103542i | ||||
\(97\) | 5.44330i | 0.552683i | 0.961059 | + | 0.276342i | \(0.0891221\pi\) | ||||
−0.961059 | + | 0.276342i | \(0.910878\pi\) | |||||||
\(98\) | 3.45659 | − | 6.08704i | 0.349168 | − | 0.614883i | ||||
\(99\) | 1.32200 | + | 13.8960i | 0.132866 | + | 1.39660i | ||||
\(100\) | −2.07173 | + | 2.59786i | −0.207173 | + | 0.259786i | ||||
\(101\) | 0.422700 | + | 0.203561i | 0.0420602 | + | 0.0202551i | 0.454796 | − | 0.890596i | \(-0.349712\pi\) |
−0.412735 | + | 0.910851i | \(0.635427\pi\) | |||||||
\(102\) | −12.5034 | + | 3.48499i | −1.23802 | + | 0.345066i | ||||
\(103\) | −0.0868796 | + | 0.180407i | −0.00856050 | + | 0.0177761i | −0.905205 | − | 0.424975i | \(-0.860283\pi\) |
0.896645 | + | 0.442751i | \(0.145997\pi\) | |||||||
\(104\) | −2.16963 | + | 1.04484i | −0.212750 | + | 0.102455i | ||||
\(105\) | −0.179769 | − | 13.2192i | −0.0175437 | − | 1.29006i | ||||
\(106\) | 9.31217 | + | 4.48450i | 0.904478 | + | 0.435574i | ||||
\(107\) | −3.49879 | + | 2.79020i | −0.338241 | + | 0.269738i | −0.777849 | − | 0.628452i | \(-0.783689\pi\) |
0.439607 | + | 0.898190i | \(0.355118\pi\) | |||||||
\(108\) | 4.31459 | − | 2.89557i | 0.415171 | − | 0.278627i | ||||
\(109\) | −5.21135 | + | 6.53483i | −0.499157 | + | 0.625923i | −0.966039 | − | 0.258397i | \(-0.916806\pi\) |
0.466882 | + | 0.884320i | \(0.345377\pi\) | |||||||
\(110\) | −2.98697 | + | 13.0867i | −0.284796 | + | 1.24777i | ||||
\(111\) | 2.86436 | − | 3.96362i | 0.271873 | − | 0.376210i | ||||
\(112\) | 2.55803 | + | 0.675635i | 0.241711 | + | 0.0638415i | ||||
\(113\) | −6.77014 | + | 5.39901i | −0.636881 | + | 0.507896i | −0.887870 | − | 0.460094i | \(-0.847816\pi\) |
0.250989 | + | 0.967990i | \(0.419244\pi\) | |||||||
\(114\) | −4.53278 | + | 2.45409i | −0.424534 | + | 0.229847i | ||||
\(115\) | −11.8593 | − | 2.70680i | −1.10588 | − | 0.252410i | ||||
\(116\) | − | 5.34740i | − | 0.496493i | ||||||
\(117\) | −0.684200 | − | 7.19185i | −0.0632543 | − | 0.664887i | ||||
\(118\) | −7.90071 | − | 1.80329i | −0.727320 | − | 0.166006i | ||||
\(119\) | 15.9108 | − | 11.8308i | 1.45854 | − | 1.08452i | ||||
\(120\) | 4.81337 | − | 1.34160i | 0.439398 | − | 0.122471i | ||||
\(121\) | 2.36976 | + | 10.3826i | 0.215432 | + | 0.943871i | ||||
\(122\) | 7.45745 | + | 9.35135i | 0.675166 | + | 0.846631i | ||||
\(123\) | −1.20949 | − | 1.37728i | −0.109056 | − | 0.124185i | ||||
\(124\) | −5.95692 | + | 1.35963i | −0.534947 | + | 0.122098i | ||||
\(125\) | 1.07669 | + | 4.71731i | 0.0963025 | + | 0.421929i | ||||
\(126\) | −4.56113 | + | 6.49585i | −0.406338 | + | 0.578696i | ||||
\(127\) | −3.93570 | + | 17.2434i | −0.349237 | + | 1.53011i | 0.429682 | + | 0.902981i | \(0.358626\pi\) |
−0.778918 | + | 0.627126i | \(0.784231\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −8.66791 | + | 0.411384i | −0.763167 | + | 0.0362204i | ||||
\(130\) | 1.54590 | − | 6.77303i | 0.135584 | − | 0.594034i | ||||
\(131\) | 16.1430 | − | 7.77407i | 1.41042 | − | 0.679223i | 0.435176 | − | 0.900346i | \(-0.356686\pi\) |
0.975246 | + | 0.221122i | \(0.0709720\pi\) | |||||||
\(132\) | 6.05555 | − | 5.31781i | 0.527068 | − | 0.462856i | ||||
\(133\) | 5.11449 | − | 5.98628i | 0.443483 | − | 0.519076i | ||||
\(134\) | 9.59567 | + | 7.65229i | 0.828939 | + | 0.661057i | ||||
\(135\) | −1.22970 | + | 14.9400i | −0.105836 | + | 1.28583i | ||||
\(136\) | 5.85905 | + | 4.67244i | 0.502410 | + | 0.400658i | ||||
\(137\) | −0.289063 | − | 0.600245i | −0.0246963 | − | 0.0512824i | 0.888256 | − | 0.459349i | \(-0.151917\pi\) |
−0.912952 | + | 0.408067i | \(0.866203\pi\) | |||||||
\(138\) | 4.81902 | + | 5.48756i | 0.410222 | + | 0.467132i | ||||
\(139\) | 5.46640 | − | 11.3511i | 0.463654 | − | 0.962787i | −0.529754 | − | 0.848152i | \(-0.677716\pi\) |
0.993408 | − | 0.114636i | \(-0.0365701\pi\) | |||||||
\(140\) | −6.12509 | + | 4.55442i | −0.517665 | + | 0.384919i | ||||
\(141\) | 2.32242 | − | 1.25738i | 0.195583 | − | 0.105891i | ||||
\(142\) | 11.9734 | + | 5.76607i | 1.00478 | + | 0.483878i | ||||
\(143\) | −2.49328 | − | 10.9238i | −0.208499 | − | 0.913493i | ||||
\(144\) | −2.81403 | − | 1.03981i | −0.234503 | − | 0.0866512i | ||||
\(145\) | 12.0612 | + | 9.61847i | 1.00163 | + | 0.798771i | ||||
\(146\) | 0.299078 | 0.0247519 | ||||||||
\(147\) | 2.93646 | − | 11.7634i | 0.242195 | − | 0.970228i | ||||
\(148\) | −2.82340 | −0.232082 | ||||||||
\(149\) | 0.178248 | + | 0.142148i | 0.0146027 | + | 0.0116452i | 0.630764 | − | 0.775975i | \(-0.282742\pi\) |
−0.616161 | + | 0.787620i | \(0.711313\pi\) | |||||||
\(150\) | −2.24848 | + | 5.29785i | −0.183587 | + | 0.432567i | ||||
\(151\) | 2.82839 | + | 12.3920i | 0.230171 | + | 1.00845i | 0.949498 | + | 0.313774i | \(0.101594\pi\) |
−0.719326 | + | 0.694672i | \(0.755549\pi\) | |||||||
\(152\) | 2.68123 | + | 1.29121i | 0.217477 | + | 0.104731i | ||||
\(153\) | −19.2407 | + | 11.6291i | −1.55552 | + | 0.940157i | ||||
\(154\) | −5.71336 | + | 10.9043i | −0.460396 | + | 0.878697i | ||||
\(155\) | 7.64817 | − | 15.8816i | 0.614316 | − | 1.27564i | ||||
\(156\) | −3.13404 | + | 2.75222i | −0.250924 | + | 0.220354i | ||||
\(157\) | 6.13153 | + | 12.7323i | 0.489350 | + | 1.01614i | 0.988723 | + | 0.149758i | \(0.0478494\pi\) |
−0.499373 | + | 0.866387i | \(0.666436\pi\) | |||||||
\(158\) | −6.51954 | − | 5.19916i | −0.518667 | − | 0.413623i | ||||
\(159\) | 17.6224 | + | 3.15169i | 1.39755 | + | 0.249945i | ||||
\(160\) | −2.25553 | − | 1.79872i | −0.178315 | − | 0.142201i | ||||
\(161\) | −9.88156 | − | 5.17747i | −0.778776 | − | 0.408042i | ||||
\(162\) | 5.85214 | − | 6.83757i | 0.459788 | − | 0.537211i | ||||
\(163\) | 9.00713 | − | 4.33761i | 0.705493 | − | 0.339747i | −0.0465003 | − | 0.998918i | \(-0.514807\pi\) |
0.751993 | + | 0.659171i | \(0.229093\pi\) | |||||||
\(164\) | −0.235486 | + | 1.03173i | −0.0183883 | + | 0.0805645i | ||||
\(165\) | 1.10221 | + | 23.2237i | 0.0858070 | + | 1.80796i | ||||
\(166\) | − | 12.9051i | − | 1.00163i | ||||||
\(167\) | −0.736547 | + | 3.22702i | −0.0569957 | + | 0.249715i | −0.995398 | − | 0.0958312i | \(-0.969449\pi\) |
0.938402 | + | 0.345546i | \(0.112306\pi\) | |||||||
\(168\) | 4.58215 | − | 0.0623134i | 0.353521 | − | 0.00480758i | ||||
\(169\) | −1.60238 | − | 7.02047i | −0.123260 | − | 0.540036i | ||||
\(170\) | −21.0776 | + | 4.81083i | −1.61658 | + | 0.368973i | ||||
\(171\) | −6.42150 | + | 6.20245i | −0.491064 | + | 0.474314i | ||||
\(172\) | 3.12372 | + | 3.91702i | 0.238181 | + | 0.298670i | ||||
\(173\) | −5.27591 | − | 23.1153i | −0.401120 | − | 1.75742i | −0.622878 | − | 0.782319i | \(-0.714037\pi\) |
0.221758 | − | 0.975102i | \(-0.428820\pi\) | |||||||
\(174\) | −2.48674 | − | 8.92189i | −0.188519 | − | 0.676367i | ||||
\(175\) | 0.297323 | − | 8.78625i | 0.0224755 | − | 0.664178i | ||||
\(176\) | −4.53625 | − | 1.03537i | −0.341933 | − | 0.0780440i | ||||
\(177\) | −14.0206 | + | 0.665425i | −1.05385 | + | 0.0500164i | ||||
\(178\) | 1.89607i | 0.142117i | ||||||||
\(179\) | −12.0722 | − | 2.75541i | −0.902322 | − | 0.205949i | −0.253900 | − | 0.967230i | \(-0.581713\pi\) |
−0.648422 | + | 0.761281i | \(0.724571\pi\) | |||||||
\(180\) | 7.40699 | − | 4.47679i | 0.552084 | − | 0.333680i | ||||
\(181\) | −7.05221 | + | 5.62395i | −0.524186 | + | 0.418025i | −0.849506 | − | 0.527579i | \(-0.823100\pi\) |
0.325319 | + | 0.945604i | \(0.394528\pi\) | |||||||
\(182\) | 2.95694 | − | 5.64353i | 0.219183 | − | 0.418326i | ||||
\(183\) | 16.7911 | + | 12.1343i | 1.24124 | + | 0.896994i | ||||
\(184\) | 0.938257 | − | 4.11077i | 0.0691692 | − | 0.303050i | ||||
\(185\) | 5.07852 | − | 6.36826i | 0.373380 | − | 0.468204i | ||||
\(186\) | −9.30658 | + | 5.03867i | −0.682391 | + | 0.369453i | ||||
\(187\) | −27.2617 | + | 21.7404i | −1.99357 | + | 1.58982i | ||||
\(188\) | −1.37376 | − | 0.661567i | −0.100192 | − | 0.0482497i | ||||
\(189\) | −4.58923 | + | 12.9591i | −0.333818 | + | 0.942638i | ||||
\(190\) | −7.73515 | + | 3.72505i | −0.561167 | + | 0.270244i | ||||
\(191\) | −3.52413 | + | 7.31792i | −0.254997 | + | 0.529506i | −0.988690 | − | 0.149975i | \(-0.952081\pi\) |
0.733693 | + | 0.679481i | \(0.237795\pi\) | |||||||
\(192\) | 0.465037 | + | 1.66845i | 0.0335612 | + | 0.120410i | ||||
\(193\) | 10.4257 | + | 5.02073i | 0.750455 | + | 0.361400i | 0.769692 | − | 0.638415i | \(-0.220410\pi\) |
−0.0192375 | + | 0.999815i | \(0.506124\pi\) | |||||||
\(194\) | 3.39384 | − | 4.25574i | 0.243664 | − | 0.305544i | ||||
\(195\) | −0.570447 | − | 12.0194i | −0.0408506 | − | 0.860726i | ||||
\(196\) | −6.49767 | + | 2.60389i | −0.464120 | + | 0.185992i | ||||
\(197\) | − | 13.9770i | − | 0.995822i | −0.867228 | − | 0.497911i | \(-0.834101\pi\) | ||
0.867228 | − | 0.497911i | \(-0.165899\pi\) | |||||||
\(198\) | 7.63043 | − | 11.6886i | 0.542271 | − | 0.830671i | ||||
\(199\) | 0.920359 | − | 1.91114i | 0.0652425 | − | 0.135477i | −0.865798 | − | 0.500394i | \(-0.833188\pi\) |
0.931040 | + | 0.364917i | \(0.118903\pi\) | |||||||
\(200\) | 3.23948 | − | 0.739391i | 0.229066 | − | 0.0522828i | ||||
\(201\) | 19.5685 | + | 8.30515i | 1.38026 | + | 0.585800i | ||||
\(202\) | −0.203561 | − | 0.422700i | −0.0143225 | − | 0.0297410i | ||||
\(203\) | 8.44192 | + | 11.3533i | 0.592507 | + | 0.796843i | ||||
\(204\) | 11.9484 | + | 5.07107i | 0.836557 | + | 0.355046i | ||||
\(205\) | −1.90352 | − | 2.38694i | −0.132948 | − | 0.166711i | ||||
\(206\) | 0.180407 | − | 0.0868796i | 0.0125696 | − | 0.00605319i | ||||
\(207\) | 10.5922 | + | 6.91472i | 0.736211 | + | 0.480606i | ||||
\(208\) | 2.34773 | + | 0.535854i | 0.162786 | + | 0.0371548i | ||||
\(209\) | −8.63334 | + | 10.8259i | −0.597180 | + | 0.748840i | ||||
\(210\) | −8.10146 | + | 10.4472i | −0.559054 | + | 0.720928i | ||||
\(211\) | −17.3525 | − | 21.7593i | −1.19459 | − | 1.49797i | −0.821527 | − | 0.570170i | \(-0.806878\pi\) |
−0.373067 | − | 0.927804i | \(-0.621694\pi\) | |||||||
\(212\) | −4.48450 | − | 9.31217i | −0.307997 | − | 0.639562i | ||||
\(213\) | 22.6584 | + | 4.05236i | 1.55253 | + | 0.277663i | ||||
\(214\) | 4.47513 | 0.305913 | ||||||||
\(215\) | −14.4536 | −0.985729 | ||||||||
\(216\) | −5.17864 | − | 0.426252i | −0.352362 | − | 0.0290027i | ||||
\(217\) | 10.5009 | − | 12.2909i | 0.712849 | − | 0.834358i | ||||
\(218\) | 8.14879 | − | 1.85991i | 0.551906 | − | 0.125969i | ||||
\(219\) | 0.498998 | − | 0.139082i | 0.0337191 | − | 0.00939831i | ||||
\(220\) | 10.4948 | − | 8.36929i | 0.707556 | − | 0.564257i | ||||
\(221\) | 14.1092 | − | 11.2517i | 0.949089 | − | 0.756873i | ||||
\(222\) | −4.71072 | + | 1.31299i | −0.316163 | + | 0.0881220i | ||||
\(223\) | 3.50751 | − | 0.800567i | 0.234881 | − | 0.0536100i | −0.103460 | − | 0.994634i | \(-0.532991\pi\) |
0.338341 | + | 0.941024i | \(0.390134\pi\) | |||||||
\(224\) | −1.57870 | − | 2.12314i | −0.105481 | − | 0.141858i | ||||
\(225\) | −1.28779 | + | 9.88484i | −0.0858525 | + | 0.658989i | ||||
\(226\) | 8.65933 | 0.576010 | ||||||||
\(227\) | −14.7267 | −0.977448 | −0.488724 | − | 0.872438i | \(-0.662538\pi\) | ||||
−0.488724 | + | 0.872438i | \(0.662538\pi\) | |||||||
\(228\) | 5.07397 | + | 0.907458i | 0.336032 | + | 0.0600978i | ||||
\(229\) | −6.82289 | − | 14.1679i | −0.450869 | − | 0.936239i | −0.995245 | − | 0.0973984i | \(-0.968948\pi\) |
0.544376 | − | 0.838841i | \(-0.316766\pi\) | |||||||
\(230\) | 7.58428 | + | 9.51039i | 0.500093 | + | 0.627097i | ||||
\(231\) | −4.46155 | + | 20.8503i | −0.293549 | + | 1.37185i | ||||
\(232\) | −3.33405 | + | 4.18076i | −0.218891 | + | 0.274481i | ||||
\(233\) | 10.0999 | + | 2.30524i | 0.661667 | + | 0.151021i | 0.540151 | − | 0.841568i | \(-0.318367\pi\) |
0.121516 | + | 0.992589i | \(0.461224\pi\) | |||||||
\(234\) | −3.94912 | + | 6.04941i | −0.258162 | + | 0.395462i | ||||
\(235\) | 3.96319 | − | 1.90857i | 0.258530 | − | 0.124501i | ||||
\(236\) | 5.05270 | + | 6.33588i | 0.328903 | + | 0.412431i | ||||
\(237\) | −13.2954 | − | 5.64273i | −0.863627 | − | 0.366535i | ||||
\(238\) | −19.8159 | − | 0.670564i | −1.28448 | − | 0.0434662i | ||||
\(239\) | 1.82199 | + | 3.78341i | 0.117855 | + | 0.244728i | 0.951548 | − | 0.307499i | \(-0.0994922\pi\) |
−0.833693 | + | 0.552228i | \(0.813778\pi\) | |||||||
\(240\) | −4.59971 | − | 1.95218i | −0.296910 | − | 0.126013i | ||||
\(241\) | −14.6559 | + | 3.34511i | −0.944068 | + | 0.215477i | −0.666734 | − | 0.745296i | \(-0.732308\pi\) |
−0.277334 | + | 0.960774i | \(0.589451\pi\) | |||||||
\(242\) | 4.62068 | − | 9.59495i | 0.297029 | − | 0.616786i | ||||
\(243\) | 6.58431 | − | 14.1296i | 0.422384 | − | 0.906417i | ||||
\(244\) | − | 11.9608i | − | 0.765713i | ||||||
\(245\) | 5.81437 | − | 19.3393i | 0.371466 | − | 1.23554i | ||||
\(246\) | 0.0868958 | + | 1.83090i | 0.00554027 | + | 0.116734i | ||||
\(247\) | 4.46817 | − | 5.60291i | 0.284303 | − | 0.356505i | ||||
\(248\) | 5.50502 | + | 2.65108i | 0.349569 | + | 0.168344i | ||||
\(249\) | −6.00135 | − | 21.5316i | −0.380320 | − | 1.36451i | ||||
\(250\) | 2.09940 | − | 4.35945i | 0.132778 | − | 0.275716i | ||||
\(251\) | −9.61968 | + | 4.63260i | −0.607189 | + | 0.292407i | −0.712104 | − | 0.702074i | \(-0.752257\pi\) |
0.104915 | + | 0.994481i | \(0.466543\pi\) | |||||||
\(252\) | 7.61613 | − | 2.23484i | 0.479771 | − | 0.140782i | ||||
\(253\) | 17.6761 | + | 8.51234i | 1.11128 | + | 0.535166i | ||||
\(254\) | 13.8281 | − | 11.0276i | 0.867655 | − | 0.691932i | ||||
\(255\) | −32.9298 | + | 17.8285i | −2.06214 | + | 1.11646i | ||||
\(256\) | 0.623490 | − | 0.781831i | 0.0389681 | − | 0.0488645i | ||||
\(257\) | −5.20624 | + | 22.8100i | −0.324756 | + | 1.42285i | 0.504224 | + | 0.863573i | \(0.331779\pi\) |
−0.828980 | + | 0.559278i | \(0.811079\pi\) | |||||||
\(258\) | 7.03334 | + | 5.08272i | 0.437876 | + | 0.316436i | ||||
\(259\) | 5.99448 | − | 4.45730i | 0.372479 | − | 0.276963i | ||||
\(260\) | −5.43155 | + | 4.33151i | −0.336850 | + | 0.268629i | ||||
\(261\) | −8.29802 | − | 13.7293i | −0.513635 | − | 0.849825i | ||||
\(262\) | −17.4682 | − | 3.98700i | −1.07919 | − | 0.246317i | ||||
\(263\) | − | 6.88819i | − | 0.424744i | −0.977189 | − | 0.212372i | \(-0.931881\pi\) | ||
0.977189 | − | 0.212372i | \(-0.0681189\pi\) | |||||||
\(264\) | −8.05002 | + | 0.382059i | −0.495444 | + | 0.0235141i | ||||
\(265\) | 29.0702 | + | 6.63508i | 1.78577 | + | 0.407590i | ||||
\(266\) | −7.73106 | + | 1.49143i | −0.474022 | + | 0.0914453i | ||||
\(267\) | 0.881745 | + | 3.16351i | 0.0539619 | + | 0.193604i | ||||
\(268\) | −2.73107 | − | 11.9656i | −0.166827 | − | 0.730915i | ||||
\(269\) | 14.1801 | + | 17.7812i | 0.864574 | + | 1.08414i | 0.995687 | + | 0.0927745i | \(0.0295736\pi\) |
−0.131113 | + | 0.991367i | \(0.541855\pi\) | |||||||
\(270\) | 10.2763 | − | 10.9138i | 0.625399 | − | 0.664195i | ||||
\(271\) | 10.5677 | − | 2.41201i | 0.641942 | − | 0.146519i | 0.110855 | − | 0.993837i | \(-0.464641\pi\) |
0.531087 | + | 0.847318i | \(0.321784\pi\) | |||||||
\(272\) | −1.66757 | − | 7.30612i | −0.101112 | − | 0.442998i | ||||
\(273\) | 2.30907 | − | 10.7911i | 0.139751 | − | 0.653104i | ||||
\(274\) | −0.148248 | + | 0.649518i | −0.00895600 | + | 0.0392388i | ||||
\(275\) | 15.4607i | 0.932312i | ||||||||
\(276\) | −0.346223 | − | 7.29496i | −0.0208402 | − | 0.439105i | ||||
\(277\) | 2.45017 | − | 10.7349i | 0.147217 | − | 0.644998i | −0.846435 | − | 0.532493i | \(-0.821255\pi\) |
0.993651 | − | 0.112505i | \(-0.0358875\pi\) | |||||||
\(278\) | −11.3511 | + | 5.46640i | −0.680793 | + | 0.327853i | ||||
\(279\) | −13.1844 | + | 12.7347i | −0.789331 | + | 0.762406i | ||||
\(280\) | 7.62843 | + | 0.258143i | 0.455886 | + | 0.0154270i | ||||
\(281\) | −4.52326 | − | 3.60718i | −0.269835 | − | 0.215186i | 0.479219 | − | 0.877696i | \(-0.340920\pi\) |
−0.749054 | + | 0.662509i | \(0.769492\pi\) | |||||||
\(282\) | −2.59971 | − | 0.464946i | −0.154810 | − | 0.0276871i | ||||
\(283\) | −25.0068 | − | 19.9423i | −1.48650 | − | 1.18544i | −0.936692 | − | 0.350153i | \(-0.886130\pi\) |
−0.549808 | − | 0.835291i | \(-0.685299\pi\) | |||||||
\(284\) | −5.76607 | − | 11.9734i | −0.342153 | − | 0.710488i | ||||
\(285\) | −11.1735 | + | 9.81221i | −0.661859 | + | 0.581225i | ||||
\(286\) | −4.86154 | + | 10.0951i | −0.287469 | + | 0.596936i | ||||
\(287\) | −1.12882 | − | 2.56226i | −0.0666321 | − | 0.151246i | ||||
\(288\) | 1.55179 | + | 2.56748i | 0.0914399 | + | 0.151290i | ||||
\(289\) | −35.2821 | − | 16.9910i | −2.07542 | − | 0.999468i | ||||
\(290\) | −3.43279 | − | 15.0401i | −0.201581 | − | 0.883182i | ||||
\(291\) | 3.68339 | − | 8.67877i | 0.215924 | − | 0.508759i | ||||
\(292\) | −0.233828 | − | 0.186472i | −0.0136838 | − | 0.0109124i | ||||
\(293\) | −9.91912 | −0.579481 | −0.289741 | − | 0.957105i | \(-0.593569\pi\) | ||||
−0.289741 | + | 0.957105i | \(0.593569\pi\) | |||||||
\(294\) | −9.63017 | + | 7.36613i | −0.561643 | + | 0.429601i | ||||
\(295\) | −23.3791 | −1.36119 | ||||||||
\(296\) | 2.20743 | + | 1.76036i | 0.128304 | + | 0.102319i | ||||
\(297\) | 7.29539 | − | 23.0503i | 0.423322 | − | 1.33751i | ||||
\(298\) | −0.0507321 | − | 0.222272i | −0.00293883 | − | 0.0128759i | ||||
\(299\) | −9.14822 | − | 4.40555i | −0.529055 | − | 0.254779i | ||||
\(300\) | 5.06108 | − | 2.74012i | 0.292202 | − | 0.158201i | ||||
\(301\) | −12.8159 | − | 3.38497i | −0.738694 | − | 0.195106i | ||||
\(302\) | 5.51496 | − | 11.4519i | 0.317350 | − | 0.658985i | ||||
\(303\) | −0.536204 | − | 0.610591i | −0.0308041 | − | 0.0350776i | ||||
\(304\) | −1.29121 | − | 2.68123i | −0.0740561 | − | 0.153779i | ||||
\(305\) | 26.9779 | + | 21.5142i | 1.54475 | + | 1.23190i | ||||
\(306\) | 22.2936 | + | 2.90439i | 1.27444 | + | 0.166033i | ||||
\(307\) | 5.98865 | + | 4.77579i | 0.341790 | + | 0.272569i | 0.779308 | − | 0.626641i | \(-0.215571\pi\) |
−0.437518 | + | 0.899210i | \(0.644142\pi\) | |||||||
\(308\) | 11.2656 | − | 4.96314i | 0.641919 | − | 0.282801i | ||||
\(309\) | 0.260599 | − | 0.228851i | 0.0148250 | − | 0.0130189i | ||||
\(310\) | −15.8816 | + | 7.64817i | −0.902013 | + | 0.434387i | ||||
\(311\) | 3.66299 | − | 16.0486i | 0.207709 | − | 0.910034i | −0.758377 | − | 0.651816i | \(-0.774008\pi\) |
0.966087 | − | 0.258218i | \(-0.0831353\pi\) | |||||||
\(312\) | 4.16627 | − | 0.197734i | 0.235869 | − | 0.0111945i | ||||
\(313\) | − | 25.1309i | − | 1.42048i | −0.703957 | − | 0.710242i | \(-0.748585\pi\) | ||
0.703957 | − | 0.710242i | \(-0.251415\pi\) | |||||||
\(314\) | 3.14461 | − | 13.7774i | 0.177460 | − | 0.777505i | ||||
\(315\) | −8.65857 | + | 21.1982i | −0.487855 | + | 1.19439i | ||||
\(316\) | 1.85556 | + | 8.12974i | 0.104383 | + | 0.457333i | ||||
\(317\) | 11.5423 | − | 2.63445i | 0.648278 | − | 0.147965i | 0.114277 | − | 0.993449i | \(-0.463545\pi\) |
0.534001 | + | 0.845484i | \(0.320688\pi\) | |||||||
\(318\) | −11.8127 | − | 13.4515i | −0.662423 | − | 0.754321i | ||||
\(319\) | −15.5130 | − | 19.4527i | −0.868563 | − | 1.08914i | ||||
\(320\) | 0.641956 | + | 2.81259i | 0.0358864 | + | 0.157229i | ||||
\(321\) | 7.46654 | − | 2.08110i | 0.416742 | − | 0.116156i | ||||
\(322\) | 4.49761 | + | 10.2090i | 0.250642 | + | 0.568923i | ||||
\(323\) | −21.7426 | − | 4.96260i | −1.20979 | − | 0.276127i | ||||
\(324\) | −8.83855 | + | 1.69708i | −0.491030 | + | 0.0942822i | ||||
\(325\) | − | 8.00164i | − | 0.443851i | ||||||
\(326\) | −9.74651 | − | 2.22458i | −0.539809 | − | 0.123208i | ||||
\(327\) | 12.7310 | − | 6.89267i | 0.704024 | − | 0.381165i | ||||
\(328\) | 0.827383 | − | 0.659816i | 0.0456846 | − | 0.0364322i | ||||
\(329\) | 3.96109 | − | 0.764150i | 0.218382 | − | 0.0421289i | ||||
\(330\) | 13.6180 | − | 18.8442i | 0.749646 | − | 1.03734i | ||||
\(331\) | −3.53714 | + | 15.4972i | −0.194419 | + | 0.851803i | 0.779770 | + | 0.626066i | \(0.215336\pi\) |
−0.974188 | + | 0.225737i | \(0.927521\pi\) | |||||||
\(332\) | −8.04620 | + | 10.0896i | −0.441592 | + | 0.553739i | ||||
\(333\) | −7.24904 | + | 4.38132i | −0.397245 | + | 0.240095i | ||||
\(334\) | 2.58787 | − | 2.06376i | 0.141602 | − | 0.112924i | ||||
\(335\) | 31.9011 | + | 15.3628i | 1.74295 | + | 0.839359i | ||||
\(336\) | −3.62132 | − | 2.80821i | −0.197559 | − | 0.153200i | ||||
\(337\) | 3.25821 | − | 1.56907i | 0.177486 | − | 0.0854727i | −0.343031 | − | 0.939324i | \(-0.611454\pi\) |
0.520517 | + | 0.853851i | \(0.325739\pi\) | |||||||
\(338\) | −3.12440 | + | 6.48789i | −0.169945 | + | 0.352895i | ||||
\(339\) | 14.4477 | − | 4.02691i | 0.784691 | − | 0.218712i | ||||
\(340\) | 19.4786 | + | 9.38042i | 1.05638 | + | 0.508724i | ||||
\(341\) | −17.7257 | + | 22.2273i | −0.959901 | + | 1.20368i | ||||
\(342\) | 8.88770 | − | 0.845535i | 0.480592 | − | 0.0457213i | ||||
\(343\) | 9.68471 | − | 15.7863i | 0.522925 | − | 0.852379i | ||||
\(344\) | − | 5.01005i | − | 0.270124i | ||||||
\(345\) | 17.0767 | + | 12.3407i | 0.919380 | + | 0.664400i | ||||
\(346\) | −10.2873 | + | 21.3617i | −0.553046 | + | 1.14841i | ||||
\(347\) | −26.0935 | + | 5.95567i | −1.40077 | + | 0.319717i | −0.855179 | − | 0.518333i | \(-0.826553\pi\) |
−0.545593 | + | 0.838050i | \(0.683696\pi\) | |||||||
\(348\) | −3.61850 | + | 8.52587i | −0.193972 | + | 0.457035i | ||||
\(349\) | 10.2383 | + | 21.2600i | 0.548041 | + | 1.13802i | 0.972571 | + | 0.232605i | \(0.0747251\pi\) |
−0.424530 | + | 0.905414i | \(0.639561\pi\) | |||||||
\(350\) | −5.71059 | + | 6.68399i | −0.305244 | + | 0.357274i | ||||
\(351\) | −3.77572 | + | 11.9296i | −0.201533 | + | 0.636757i | ||||
\(352\) | 2.90104 | + | 3.63779i | 0.154626 | + | 0.193895i | ||||
\(353\) | 2.87388 | − | 1.38399i | 0.152961 | − | 0.0736621i | −0.355837 | − | 0.934548i | \(-0.615804\pi\) |
0.508798 | + | 0.860886i | \(0.330090\pi\) | |||||||
\(354\) | 11.3766 | + | 8.22144i | 0.604660 | + | 0.436964i | ||||
\(355\) | 37.3778 | + | 8.53123i | 1.98381 | + | 0.452791i | ||||
\(356\) | 1.18218 | − | 1.48241i | 0.0626555 | − | 0.0785675i | ||||
\(357\) | −33.3738 | + | 8.09635i | −1.76633 | + | 0.428504i | ||||
\(358\) | 7.72049 | + | 9.68119i | 0.408040 | + | 0.511667i | ||||
\(359\) | 13.3455 | + | 27.7123i | 0.704350 | + | 1.46260i | 0.878432 | + | 0.477867i | \(0.158590\pi\) |
−0.174083 | + | 0.984731i | \(0.555696\pi\) | |||||||
\(360\) | −8.58225 | − | 1.11809i | −0.452324 | − | 0.0589284i | ||||
\(361\) | 10.1438 | 0.533883 | ||||||||
\(362\) | 9.02011 | 0.474087 | ||||||||
\(363\) | 3.24739 | − | 18.1575i | 0.170444 | − | 0.953023i | ||||
\(364\) | −5.83051 | + | 2.56866i | −0.305602 | + | 0.134635i | ||||
\(365\) | 0.841184 | − | 0.191995i | 0.0440296 | − | 0.0100495i | ||||
\(366\) | −5.56223 | − | 19.9561i | −0.290742 | − | 1.04312i | ||||
\(367\) | 17.0204 | − | 13.5733i | 0.888458 | − | 0.708521i | −0.0688394 | − | 0.997628i | \(-0.521930\pi\) |
0.957297 | + | 0.289106i | \(0.0933582\pi\) | |||||||
\(368\) | −3.29658 | + | 2.62894i | −0.171846 | + | 0.137043i | ||||
\(369\) | 0.996420 | + | 3.01437i | 0.0518716 | + | 0.156922i | ||||
\(370\) | −7.94109 | + | 1.81250i | −0.412838 | + | 0.0942275i | ||||
\(371\) | 24.2223 | + | 12.6913i | 1.25756 | + | 0.658902i | ||||
\(372\) | 10.4177 | + | 1.86316i | 0.540134 | + | 0.0966006i | ||||
\(373\) | 36.3483 | 1.88204 | 0.941022 | − | 0.338346i | \(-0.109867\pi\) | ||||
0.941022 | + | 0.338346i | \(0.109867\pi\) | |||||||
\(374\) | 34.8690 | 1.80303 | ||||||||
\(375\) | 1.47545 | − | 8.24984i | 0.0761917 | − | 0.426020i | ||||
\(376\) | 0.661567 | + | 1.37376i | 0.0341177 | + | 0.0708462i | ||||
\(377\) | 8.02874 | + | 10.0677i | 0.413501 | + | 0.518514i | ||||
\(378\) | 11.6679 | − | 7.27051i | 0.600131 | − | 0.373955i | ||||
\(379\) | −6.17065 | + | 7.73775i | −0.316965 | + | 0.397462i | −0.914635 | − | 0.404281i | \(-0.867522\pi\) |
0.597670 | + | 0.801742i | \(0.296093\pi\) | |||||||
\(380\) | 8.37012 | + | 1.91042i | 0.429378 | + | 0.0980027i | ||||
\(381\) | 17.9434 | − | 24.8296i | 0.919268 | − | 1.27206i | ||||
\(382\) | 7.31792 | − | 3.52413i | 0.374417 | − | 0.180310i | ||||
\(383\) | 1.97469 | + | 2.47619i | 0.100902 | + | 0.126527i | 0.829719 | − | 0.558182i | \(-0.188501\pi\) |
−0.728817 | + | 0.684709i | \(0.759929\pi\) | |||||||
\(384\) | 0.676684 | − | 1.59440i | 0.0345319 | − | 0.0813637i | ||||
\(385\) | −9.06925 | + | 34.3372i | −0.462212 | + | 1.74999i | ||||
\(386\) | −5.02073 | − | 10.4257i | −0.255548 | − | 0.530652i | ||||
\(387\) | 14.0985 | + | 5.20952i | 0.716665 | + | 0.264815i | ||||
\(388\) | −5.30682 | + | 1.21125i | −0.269413 | + | 0.0614918i | ||||
\(389\) | 7.31815 | − | 15.1963i | 0.371045 | − | 0.770482i | −0.628931 | − | 0.777461i | \(-0.716507\pi\) |
0.999976 | + | 0.00697892i | \(0.00222148\pi\) | |||||||
\(390\) | −7.04797 | + | 9.75281i | −0.356888 | + | 0.493852i | ||||
\(391\) | 31.5984i | 1.59800i | ||||||||
\(392\) | 6.70358 | + | 2.01543i | 0.338582 | + | 0.101795i | ||||
\(393\) | −30.9989 | + | 1.47123i | −1.56369 | + | 0.0742137i | ||||
\(394\) | −8.71454 | + | 10.9277i | −0.439032 | + | 0.550529i | ||||
\(395\) | −21.6745 | − | 10.4379i | −1.09056 | − | 0.525186i | ||||
\(396\) | −13.2534 | + | 4.38101i | −0.666009 | + | 0.220154i | ||||
\(397\) | −14.6638 | + | 30.4498i | −0.735957 | + | 1.52823i | 0.109382 | + | 0.994000i | \(0.465113\pi\) |
−0.845339 | + | 0.534231i | \(0.820601\pi\) | |||||||
\(398\) | −1.91114 | + | 0.920359i | −0.0957970 | + | 0.0461334i | ||||
\(399\) | −12.2053 | + | 6.08361i | −0.611032 | + | 0.304561i | ||||
\(400\) | −2.99373 | − | 1.44170i | −0.149687 | − | 0.0720852i | ||||
\(401\) | −6.79065 | + | 5.41536i | −0.339109 | + | 0.270430i | −0.778206 | − | 0.628010i | \(-0.783870\pi\) |
0.439097 | + | 0.898440i | \(0.355298\pi\) | |||||||
\(402\) | −10.1211 | − | 18.6940i | −0.504795 | − | 0.932373i | ||||
\(403\) | 9.17391 | − | 11.5037i | 0.456985 | − | 0.573041i | ||||
\(404\) | −0.104398 | + | 0.457398i | −0.00519400 | + | 0.0227564i | ||||
\(405\) | 12.0703 | − | 22.9881i | 0.599777 | − | 1.14229i | ||||
\(406\) | 0.478485 | − | 14.1398i | 0.0237468 | − | 0.701746i | ||||
\(407\) | −10.2710 | + | 8.19082i | −0.509112 | + | 0.406004i | ||||
\(408\) | −6.17989 | − | 11.4144i | −0.305950 | − | 0.565099i | ||||
\(409\) | 9.82743 | + | 2.24305i | 0.485935 | + | 0.110912i | 0.458468 | − | 0.888711i | \(-0.348399\pi\) |
0.0274677 | + | 0.999623i | \(0.491256\pi\) | |||||||
\(410\) | 3.05301i | 0.150777i | ||||||||
\(411\) | 0.0547046 | + | 1.15263i | 0.00269838 | + | 0.0568551i | ||||
\(412\) | −0.195217 | − | 0.0445569i | −0.00961763 | − | 0.00219516i | ||||
\(413\) | −20.7300 | − | 5.47527i | −1.02006 | − | 0.269421i | ||||
\(414\) | −3.97008 | − | 12.0103i | −0.195119 | − | 0.590274i | ||||
\(415\) | −8.28451 | − | 36.2968i | −0.406670 | − | 1.78174i | ||||
\(416\) | −1.50143 | − | 1.88273i | −0.0736137 | − | 0.0923086i | ||||
\(417\) | −16.3967 | + | 14.3991i | −0.802950 | + | 0.705128i | ||||
\(418\) | 13.4996 | − | 3.08120i | 0.660288 | − | 0.150707i | ||||
\(419\) | −2.80952 | − | 12.3093i | −0.137254 | − | 0.601350i | −0.996032 | − | 0.0890008i | \(-0.971633\pi\) |
0.858777 | − | 0.512349i | \(-0.171225\pi\) | |||||||
\(420\) | 12.8477 | − | 3.11680i | 0.626905 | − | 0.152084i | ||||
\(421\) | −3.48180 | + | 15.2548i | −0.169693 | + | 0.743473i | 0.816429 | + | 0.577446i | \(0.195951\pi\) |
−0.986121 | + | 0.166026i | \(0.946906\pi\) | |||||||
\(422\) | 27.8312i | 1.35480i | ||||||||
\(423\) | −4.55371 | + | 0.433219i | −0.221409 | + | 0.0210638i | ||||
\(424\) | −2.29992 | + | 10.0766i | −0.111694 | + | 0.489362i | ||||
\(425\) | −22.4350 | + | 10.8041i | −1.08826 | + | 0.524078i | ||||
\(426\) | −15.1885 | − | 17.2956i | −0.735884 | − | 0.837973i | ||||
\(427\) | 18.8825 | + | 25.3945i | 0.913789 | + | 1.22892i | ||||
\(428\) | −3.49879 | − | 2.79020i | −0.169121 | − | 0.134869i | ||||
\(429\) | −3.41667 | + | 19.1040i | −0.164958 | + | 0.922350i | ||||
\(430\) | 11.3003 | + | 9.01169i | 0.544949 | + | 0.434582i | ||||
\(431\) | −12.0545 | − | 25.0315i | −0.580646 | − | 1.20572i | −0.959877 | − | 0.280422i | \(-0.909525\pi\) |
0.379230 | − | 0.925302i | \(-0.376189\pi\) | |||||||
\(432\) | 3.78306 | + | 3.56209i | 0.182013 | + | 0.171381i | ||||
\(433\) | 3.65350 | − | 7.58657i | 0.175576 | − | 0.364587i | −0.794546 | − | 0.607204i | \(-0.792291\pi\) |
0.970122 | + | 0.242616i | \(0.0780055\pi\) | |||||||
\(434\) | −15.8732 | + | 3.06216i | −0.761937 | + | 0.146988i | ||||
\(435\) | −12.7216 | − | 23.4973i | −0.609956 | − | 1.12661i | ||||
\(436\) | −7.53062 | − | 3.62655i | −0.360651 | − | 0.173680i | ||||
\(437\) | 2.79220 | + | 12.2334i | 0.133569 | + | 0.585204i | ||||
\(438\) | −0.476849 | − | 0.202381i | −0.0227847 | − | 0.00967014i | ||||
\(439\) | 6.53855 | + | 5.21432i | 0.312068 | + | 0.248866i | 0.766981 | − | 0.641670i | \(-0.221758\pi\) |
−0.454913 | + | 0.890536i | \(0.650330\pi\) | |||||||
\(440\) | −13.4233 | −0.639931 | ||||||||
\(441\) | −12.6420 | + | 16.7684i | −0.601999 | + | 0.798497i | ||||
\(442\) | −18.0464 | −0.858379 | ||||||||
\(443\) | −9.66699 | − | 7.70917i | −0.459293 | − | 0.366274i | 0.366341 | − | 0.930481i | \(-0.380610\pi\) |
−0.825633 | + | 0.564207i | \(0.809182\pi\) | |||||||
\(444\) | 4.50162 | + | 1.91055i | 0.213638 | + | 0.0906707i | ||||
\(445\) | 1.21720 | + | 5.33288i | 0.0577006 | + | 0.252803i | ||||
\(446\) | −3.24143 | − | 1.56099i | −0.153486 | − | 0.0739151i | ||||
\(447\) | −0.188009 | − | 0.347258i | −0.00889252 | − | 0.0164247i | ||||
\(448\) | −0.0894800 | + | 2.64424i | −0.00422753 | + | 0.124928i | ||||
\(449\) | −4.88794 | + | 10.1499i | −0.230676 | + | 0.479004i | −0.983891 | − | 0.178771i | \(-0.942788\pi\) |
0.753215 | + | 0.657775i | \(0.228502\pi\) | |||||||
\(450\) | 7.16993 | − | 6.92536i | 0.337994 | − | 0.326464i | ||||
\(451\) | 2.13644 | + | 4.43637i | 0.100601 | + | 0.208901i | ||||
\(452\) | −6.77014 | − | 5.39901i | −0.318441 | − | 0.253948i | ||||
\(453\) | 3.87588 | − | 21.6717i | 0.182105 | − | 1.01822i | ||||
\(454\) | 11.5138 | + | 9.18197i | 0.540371 | + | 0.430931i | ||||
\(455\) | 4.69378 | − | 17.7712i | 0.220048 | − | 0.833125i | ||||
\(456\) | −3.40120 | − | 3.87305i | −0.159276 | − | 0.181372i | ||||
\(457\) | −36.4383 | + | 17.5478i | −1.70451 | + | 0.820849i | −0.711519 | + | 0.702667i | \(0.751993\pi\) |
−0.992992 | + | 0.118183i | \(0.962293\pi\) | |||||||
\(458\) | −3.49918 | + | 15.3309i | −0.163506 | + | 0.716366i | ||||
\(459\) | 38.5466 | − | 5.52152i | 1.79920 | − | 0.257722i | ||||
\(460\) | − | 12.1642i | − | 0.567161i | ||||||
\(461\) | 1.96475 | − | 8.60814i | 0.0915076 | − | 0.400921i | −0.908343 | − | 0.418227i | \(-0.862652\pi\) |
0.999850 | + | 0.0173058i | \(0.00550890\pi\) | |||||||
\(462\) | 16.4881 | − | 13.5197i | 0.767098 | − | 0.628993i | ||||
\(463\) | −2.13150 | − | 9.33871i | −0.0990592 | − | 0.434007i | −1.00000 | 6.47049e-5i | \(-0.999979\pi\) | |
0.900941 | − | 0.433942i | \(-0.142878\pi\) | |||||||
\(464\) | 5.21333 | − | 1.18991i | 0.242023 | − | 0.0552401i | ||||
\(465\) | −22.9410 | + | 20.1461i | −1.06386 | + | 0.934255i | ||||
\(466\) | −6.45914 | − | 8.09950i | −0.299214 | − | 0.375202i | ||||
\(467\) | 1.91183 | + | 8.37626i | 0.0884688 | + | 0.387607i | 0.999705 | − | 0.0242765i | \(-0.00772819\pi\) |
−0.911236 | + | 0.411884i | \(0.864871\pi\) | |||||||
\(468\) | 6.85929 | − | 2.26738i | 0.317071 | − | 0.104810i | ||||
\(469\) | 24.6885 | + | 21.0931i | 1.14001 | + | 0.973989i | ||||
\(470\) | −4.28852 | − | 0.978827i | −0.197815 | − | 0.0451499i | ||||
\(471\) | −1.16038 | − | 24.4494i | −0.0534676 | − | 1.12657i | ||||
\(472\) | − | 8.10390i | − | 0.373012i | ||||||
\(473\) | 22.7269 | + | 5.18726i | 1.04498 | + | 0.238510i | ||||
\(474\) | 6.87655 | + | 12.7012i | 0.315850 | + | 0.583385i | ||||
\(475\) | −7.73109 | + | 6.16534i | −0.354727 | + | 0.282885i | ||||
\(476\) | 15.0746 | + | 12.8793i | 0.690945 | + | 0.590322i | ||||
\(477\) | −25.9644 | − | 16.9498i | −1.18883 | − | 0.776079i | ||||
\(478\) | 0.934425 | − | 4.09398i | 0.0427396 | − | 0.187254i | ||||
\(479\) | 1.46111 | − | 1.83217i | 0.0667596 | − | 0.0837139i | −0.747330 | − | 0.664453i | \(-0.768665\pi\) |
0.814090 | + | 0.580739i | \(0.197236\pi\) | |||||||
\(480\) | 2.37904 | + | 4.39415i | 0.108588 | + | 0.200565i | ||||
\(481\) | 5.31572 | − | 4.23914i | 0.242376 | − | 0.193288i | ||||
\(482\) | 13.5441 | + | 6.52248i | 0.616915 | + | 0.297091i | ||||
\(483\) | 12.2516 | + | 14.9416i | 0.557467 | + | 0.679867i | ||||
\(484\) | −9.59495 | + | 4.62068i | −0.436134 | + | 0.210031i | ||||
\(485\) | 6.81350 | − | 14.1484i | 0.309385 | − | 0.642444i | ||||
\(486\) | −13.9575 | + | 6.94175i | −0.633125 | + | 0.314884i | ||||
\(487\) | −4.19737 | − | 2.02135i | −0.190201 | − | 0.0915960i | 0.336359 | − | 0.941734i | \(-0.390804\pi\) |
−0.526560 | + | 0.850138i | \(0.676519\pi\) | |||||||
\(488\) | −7.45745 | + | 9.35135i | −0.337583 | + | 0.423316i | ||||
\(489\) | −17.2961 | + | 0.820884i | −0.782158 | + | 0.0371217i | ||||
\(490\) | −16.6037 | + | 11.4949i | −0.750080 | + | 0.519287i | ||||
\(491\) | 15.2995i | 0.690456i | 0.938519 | + | 0.345228i | \(0.112198\pi\) | ||||
−0.938519 | + | 0.345228i | \(0.887802\pi\) | |||||||
\(492\) | 1.07361 | − | 1.48564i | 0.0484022 | − | 0.0669777i | ||||
\(493\) | 17.3872 | − | 36.1049i | 0.783081 | − | 1.62608i | ||||
\(494\) | −6.98671 | + | 1.59467i | −0.314347 | + | 0.0717477i | ||||
\(495\) | 13.9577 | − | 37.7736i | 0.627353 | − | 1.69780i | ||||
\(496\) | −2.65108 | − | 5.50502i | −0.119037 | − | 0.247183i | ||||
\(497\) | 31.1445 | + | 16.3182i | 1.39702 | + | 0.731973i | ||||
\(498\) | −8.73267 | + | 20.5758i | −0.391320 | + | 0.922025i | ||||
\(499\) | 7.46190 | + | 9.35693i | 0.334041 | + | 0.418874i | 0.920278 | − | 0.391266i | \(-0.127963\pi\) |
−0.586237 | + | 0.810140i | \(0.699391\pi\) | |||||||
\(500\) | −4.35945 | + | 2.09940i | −0.194960 | + | 0.0938880i | ||||
\(501\) | 3.35802 | − | 4.64675i | 0.150025 | − | 0.207601i | ||||
\(502\) | 10.4093 | + | 2.37587i | 0.464592 | + | 0.106040i | ||||
\(503\) | −11.9928 | + | 15.0386i | −0.534735 | + | 0.670536i | −0.973665 | − | 0.227985i | \(-0.926786\pi\) |
0.438930 | + | 0.898521i | \(0.355358\pi\) | |||||||
\(504\) | −7.34793 | − | 3.00131i | −0.327303 | − | 0.133689i | ||||
\(505\) | −0.843890 | − | 1.05820i | −0.0375526 | − | 0.0470895i | ||||
\(506\) | −8.51234 | − | 17.6761i | −0.378420 | − | 0.785796i | ||||
\(507\) | −2.19582 | + | 12.2777i | −0.0975196 | + | 0.545273i | ||||
\(508\) | −17.6869 | −0.784728 | ||||||||
\(509\) | 4.99446 | 0.221376 | 0.110688 | − | 0.993855i | \(-0.464695\pi\) | ||||
0.110688 | + | 0.993855i | \(0.464695\pi\) | |||||||
\(510\) | 36.8615 | + | 6.59251i | 1.63225 | + | 0.291921i | ||||
\(511\) | 0.790833 | + | 0.0267615i | 0.0349844 | + | 0.00118386i | ||||
\(512\) | −0.974928 | + | 0.222521i | −0.0430861 | + | 0.00983413i | ||||
\(513\) | 14.4355 | − | 5.54385i | 0.637343 | − | 0.244767i | ||||
\(514\) | 18.2922 | − | 14.5876i | 0.806835 | − | 0.643430i | ||||
\(515\) | 0.451639 | − | 0.360170i | 0.0199016 | − | 0.0158710i | ||||
\(516\) | −2.32986 | − | 8.35904i | −0.102566 | − | 0.367986i | ||||
\(517\) | −6.91668 | + | 1.57869i | −0.304195 | + | 0.0694306i | ||||
\(518\) | −7.46575 | − | 0.252638i | −0.328026 | − | 0.0111003i | ||||
\(519\) | −7.22983 | + | 40.4250i | −0.317354 | + | 1.77446i | ||||
\(520\) | 6.94721 | 0.304655 | ||||||||
\(521\) | 31.3151 | 1.37194 | 0.685970 | − | 0.727630i | \(-0.259378\pi\) | ||||
0.685970 | + | 0.727630i | \(0.259378\pi\) | |||||||
\(522\) | −2.07245 | + | 15.9078i | −0.0907086 | + | 0.696264i | ||||
\(523\) | −3.64913 | − | 7.57751i | −0.159566 | − | 0.331341i | 0.805823 | − | 0.592156i | \(-0.201723\pi\) |
−0.965389 | + | 0.260815i | \(0.916009\pi\) | |||||||
\(524\) | 11.1713 | + | 14.0084i | 0.488021 | + | 0.611959i | ||||
\(525\) | −6.41956 | + | 13.8076i | −0.280173 | + | 0.602612i | ||||
\(526\) | −4.29472 | + | 5.38541i | −0.187259 | + | 0.234815i | ||||
\(527\) | −44.6412 | − | 10.1891i | −1.94460 | − | 0.443843i | ||||
\(528\) | 6.53197 | + | 4.72040i | 0.284267 | + | 0.205429i | ||||
\(529\) | −4.70417 | + | 2.26541i | −0.204529 | + | 0.0984961i | ||||
\(530\) | −18.5911 | − | 23.3125i | −0.807545 | − | 1.01263i | ||||
\(531\) | 22.8046 | + | 8.42654i | 0.989637 | + | 0.365681i | ||||
\(532\) | 6.97428 | + | 3.65419i | 0.302373 | + | 0.158429i | ||||
\(533\) | −1.10571 | − | 2.29604i | −0.0478938 | − | 0.0994524i | ||||
\(534\) | 1.28304 | − | 3.02309i | 0.0555226 | − | 0.130822i | ||||
\(535\) | 12.5867 | − | 2.87283i | 0.544171 | − | 0.124203i | ||||
\(536\) | −5.32519 | + | 11.0579i | −0.230013 | + | 0.477628i | ||||
\(537\) | 17.3834 | + | 12.5623i | 0.750149 | + | 0.542103i | ||||
\(538\) | − | 22.7431i | − | 0.980523i | ||||||
\(539\) | −16.0832 | + | 28.3224i | −0.692752 | + | 1.21993i | ||||
\(540\) | −14.8390 | + | 2.12559i | −0.638571 | + | 0.0914707i | ||||
\(541\) | 10.3931 | − | 13.0326i | 0.446836 | − | 0.560314i | −0.506495 | − | 0.862243i | \(-0.669059\pi\) |
0.953330 | + | 0.301929i | \(0.0976305\pi\) | |||||||
\(542\) | −9.76602 | − | 4.70307i | −0.419486 | − | 0.202014i | ||||
\(543\) | 15.0496 | − | 4.19469i | 0.645842 | − | 0.180011i | ||||
\(544\) | −3.25153 | + | 6.75187i | −0.139408 | + | 0.289484i | ||||
\(545\) | 21.7253 | − | 10.4623i | 0.930608 | − | 0.448157i | ||||
\(546\) | −8.53342 | + | 6.99710i | −0.365196 | + | 0.299448i | ||||
\(547\) | 7.40451 | + | 3.56582i | 0.316594 | + | 0.152464i | 0.585431 | − | 0.810722i | \(-0.300925\pi\) |
−0.268837 | + | 0.963186i | \(0.586639\pi\) | |||||||
\(548\) | 0.520873 | − | 0.415382i | 0.0222506 | − | 0.0177443i | ||||
\(549\) | −18.5606 | − | 30.7092i | −0.792149 | − | 1.31064i | ||||
\(550\) | 9.63956 | − | 12.0876i | 0.411032 | − | 0.515418i | ||||
\(551\) | 3.54110 | − | 15.5146i | 0.150856 | − | 0.660942i | ||||
\(552\) | −4.27764 | + | 5.91929i | −0.182069 | + | 0.251942i | ||||
\(553\) | −16.7740 | − | 14.3312i | −0.713303 | − | 0.609424i | ||||
\(554\) | −8.60872 | + | 6.86523i | −0.365750 | + | 0.291676i | ||||
\(555\) | −12.4065 | + | 6.71698i | −0.526625 | + | 0.285120i | ||||
\(556\) | 12.2829 | + | 2.80349i | 0.520910 | + | 0.118894i | ||||
\(557\) | 23.1690i | 0.981704i | 0.871243 | + | 0.490852i | \(0.163314\pi\) | ||||
−0.871243 | + | 0.490852i | \(0.836686\pi\) | |||||||
\(558\) | 18.2480 | − | 1.73603i | 0.772498 | − | 0.0734919i | ||||
\(559\) | −11.7623 | − | 2.68466i | −0.497490 | − | 0.113549i | ||||
\(560\) | −5.80319 | − | 4.95807i | −0.245230 | − | 0.209517i | ||||
\(561\) | 58.1773 | − | 16.2154i | 2.45625 | − | 0.684613i | ||||
\(562\) | 1.28739 | + | 5.64042i | 0.0543052 | + | 0.237927i | ||||
\(563\) | 15.3693 | + | 19.2725i | 0.647738 | + | 0.812238i | 0.991947 | − | 0.126655i | \(-0.0404241\pi\) |
−0.344208 | + | 0.938893i | \(0.611853\pi\) | |||||||
\(564\) | 1.74264 | + | 1.98440i | 0.0733785 | + | 0.0835583i | ||||
\(565\) | 24.3552 | − | 5.55891i | 1.02463 | − | 0.233865i | ||||
\(566\) | 7.11731 | + | 31.1830i | 0.299163 | + | 1.31072i | ||||
\(567\) | 16.0863 | − | 17.5565i | 0.675560 | − | 0.737305i | ||||
\(568\) | −2.95718 | + | 12.9562i | −0.124080 | + | 0.543632i | ||||
\(569\) | − | 38.6428i | − | 1.61999i | −0.586437 | − | 0.809995i | \(-0.699470\pi\) | ||
0.586437 | − | 0.809995i | \(-0.300530\pi\) | |||||||
\(570\) | 14.8536 | − | 0.704960i | 0.622148 | − | 0.0295275i | ||||
\(571\) | 5.19670 | − | 22.7682i | 0.217475 | − | 0.952821i | −0.741861 | − | 0.670554i | \(-0.766057\pi\) |
0.959336 | − | 0.282267i | \(-0.0910863\pi\) | |||||||
\(572\) | 10.0951 | − | 4.86154i | 0.422097 | − | 0.203271i | ||||
\(573\) | 10.5708 | − | 9.28295i | 0.441600 | − | 0.387801i | ||||
\(574\) | −0.714999 | + | 2.70707i | −0.0298435 | + | 0.112991i | ||||
\(575\) | 10.9539 | + | 8.73541i | 0.456807 | + | 0.364292i | ||||
\(576\) | 0.387562 | − | 2.97486i | 0.0161484 | − | 0.123953i | ||||
\(577\) | −15.8979 | − | 12.6781i | −0.661837 | − | 0.527797i | 0.233968 | − | 0.972244i | \(-0.424829\pi\) |
−0.895805 | + | 0.444447i | \(0.853400\pi\) | |||||||
\(578\) | 16.9910 | + | 35.2821i | 0.706731 | + | 1.46754i | ||||
\(579\) | −13.2252 | − | 15.0599i | −0.549620 | − | 0.625868i | ||||
\(580\) | −6.69345 | + | 13.8991i | −0.277931 | + | 0.577129i | ||||
\(581\) | 1.15475 | − | 34.1241i | 0.0479070 | − | 1.41571i | ||||
\(582\) | −8.29092 | + | 4.48878i | −0.343670 | + | 0.186066i | ||||
\(583\) | −43.3287 | − | 20.8660i | −1.79449 | − | 0.864181i | ||||
\(584\) | 0.0665511 | + | 0.291579i | 0.00275390 | + | 0.0120656i | ||||
\(585\) | −7.22380 | + | 19.5497i | −0.298668 | + | 0.808280i | ||||
\(586\) | 7.75508 | + | 6.18447i | 0.320359 | + | 0.255478i | ||||
\(587\) | 6.17869 | 0.255022 | 0.127511 | − | 0.991837i | \(-0.459301\pi\) | ||||
0.127511 | + | 0.991837i | \(0.459301\pi\) | |||||||
\(588\) | 12.1219 | + | 0.245239i | 0.499898 | + | 0.0101135i | ||||
\(589\) | −18.1834 | −0.749232 | ||||||||
\(590\) | 18.2785 | + | 14.5766i | 0.752516 | + | 0.600111i | ||||
\(591\) | −9.45803 | + | 22.2849i | −0.389051 | + | 0.916679i | ||||
\(592\) | −0.628266 | − | 2.75262i | −0.0258216 | − | 0.113132i | ||||
\(593\) | −3.75428 | − | 1.80797i | −0.154170 | − | 0.0742442i | 0.355208 | − | 0.934787i | \(-0.384410\pi\) |
−0.509378 | + | 0.860543i | \(0.670124\pi\) | |||||||
\(594\) | −20.0754 | + | 13.4728i | −0.823703 | + | 0.552797i | ||||
\(595\) | −56.1647 | + | 10.8349i | −2.30253 | + | 0.444189i | ||||
\(596\) | −0.0989203 | + | 0.205410i | −0.00405193 | + | 0.00841393i | ||||
\(597\) | −2.76066 | + | 2.42433i | −0.112986 | + | 0.0992212i | ||||
\(598\) | 4.40555 | + | 9.14822i | 0.180156 | + | 0.374098i | ||||
\(599\) | −9.06415 | − | 7.22842i | −0.370351 | − | 0.295345i | 0.420574 | − | 0.907258i | \(-0.361829\pi\) |
−0.790925 | + | 0.611913i | \(0.790400\pi\) | |||||||
\(600\) | −5.66535 | − | 1.01322i | −0.231287 | − | 0.0413646i | ||||
\(601\) | −4.10413 | − | 3.27294i | −0.167411 | − | 0.133506i | 0.536201 | − | 0.844091i | \(-0.319859\pi\) |
−0.703612 | + | 0.710585i | \(0.748430\pi\) | |||||||
\(602\) | 7.90935 | + | 10.6370i | 0.322361 | + | 0.433533i | ||||
\(603\) | −25.5800 | − | 26.4834i | −1.04170 | − | 1.07849i | ||||
\(604\) | −11.4519 | + | 5.51496i | −0.465972 | + | 0.224401i | ||||
\(605\) | 6.83657 | − | 29.9530i | 0.277946 | − | 1.21776i | ||||
\(606\) | 0.0385236 | + | 0.811697i | 0.00156492 | + | 0.0329730i | ||||
\(607\) | − | 16.1724i | − | 0.656416i | −0.944605 | − | 0.328208i | \(-0.893555\pi\) | ||
0.944605 | − | 0.328208i | \(-0.106445\pi\) | |||||||
\(608\) | −0.662209 | + | 2.90133i | −0.0268561 | + | 0.117664i | ||||
\(609\) | −5.77720 | − | 23.8141i | −0.234104 | − | 0.964996i | ||||
\(610\) | −7.67832 | − | 33.6409i | −0.310886 | − | 1.36208i | ||||
\(611\) | 3.57972 | − | 0.817047i | 0.144820 | − | 0.0330542i | ||||
\(612\) | −15.6190 | − | 16.1706i | −0.631361 | − | 0.653658i | ||||
\(613\) | 16.9833 | + | 21.2964i | 0.685951 | + | 0.860155i | 0.995887 | − | 0.0906023i | \(-0.0288792\pi\) |
−0.309936 | + | 0.950757i | \(0.600308\pi\) | |||||||
\(614\) | −1.70446 | − | 7.46773i | −0.0687864 | − | 0.301373i | ||||
\(615\) | 1.41976 | + | 5.09380i | 0.0572503 | + | 0.205402i | ||||
\(616\) | −11.9023 | − | 3.14367i | −0.479557 | − | 0.126662i | ||||
\(617\) | 9.89497 | + | 2.25846i | 0.398356 | + | 0.0909223i | 0.417006 | − | 0.908904i | \(-0.363079\pi\) |
−0.0186493 | + | 0.999826i | \(0.505937\pi\) | |||||||
\(618\) | −0.346431 | + | 0.0164418i | −0.0139355 | + | 0.000661387i | ||||
\(619\) | 1.05891i | 0.0425611i | 0.999774 | + | 0.0212806i | \(0.00677432\pi\) | ||||
−0.999774 | + | 0.0212806i | \(0.993226\pi\) | |||||||
\(620\) | 17.1853 | + | 3.92243i | 0.690177 | + | 0.157528i | ||||
\(621\) | −12.2091 | − | 18.1924i | −0.489936 | − | 0.730036i | ||||
\(622\) | −12.8700 | + | 10.2635i | −0.516040 | + | 0.411528i | ||||
\(623\) | −0.169661 | + | 5.01367i | −0.00679731 | + | 0.200868i | ||||
\(624\) | −3.38061 | − | 2.44304i | −0.135333 | − | 0.0977997i | ||||
\(625\) | 6.80314 | − | 29.8065i | 0.272125 | − | 1.19226i | ||||
\(626\) | −15.6689 | + | 19.6482i | −0.626255 | + | 0.785298i | ||||
\(627\) | 21.0906 | − | 11.4187i | 0.842279 | − | 0.456018i | ||||
\(628\) | −11.0486 | + | 8.81100i | −0.440889 | + | 0.351597i | ||||
\(629\) | −19.0633 | − | 9.18038i | −0.760102 | − | 0.366046i | ||||
\(630\) | 19.9864 | − | 11.1749i | 0.796278 | − | 0.445219i | ||||
\(631\) | 36.2353 | − | 17.4500i | 1.44250 | − | 0.694673i | 0.461227 | − | 0.887282i | \(-0.347409\pi\) |
0.981275 | + | 0.192609i | \(0.0616950\pi\) | |||||||
\(632\) | 3.61807 | − | 7.51301i | 0.143919 | − | 0.298851i | ||||
\(633\) | 12.9426 | + | 46.4351i | 0.514420 | + | 1.84563i | ||||
\(634\) | −10.6667 | − | 5.13679i | −0.423627 | − | 0.204008i | ||||
\(635\) | 31.8137 | − | 39.8932i | 1.26249 | − | 1.58311i | ||||
\(636\) | 0.848685 | + | 17.8819i | 0.0336525 | + | 0.709063i | ||||
\(637\) | 8.32384 | − | 14.6582i | 0.329802 | − | 0.580780i | ||||
\(638\) | 24.8810i | 0.985047i | ||||||||
\(639\) | −33.3844 | − | 21.7937i | −1.32067 | − | 0.862144i | ||||
\(640\) | 1.25172 | − | 2.59923i | 0.0494787 | − | 0.102743i | ||||
\(641\) | −25.5641 | + | 5.83483i | −1.00972 | + | 0.230462i | −0.695221 | − | 0.718796i | \(-0.744694\pi\) |
−0.314499 | + | 0.949258i | \(0.601836\pi\) | |||||||
\(642\) | −7.13512 | − | 3.02824i | −0.281601 | − | 0.119515i | ||||
\(643\) | 5.00892 | + | 10.4011i | 0.197533 | + | 0.410181i | 0.976082 | − | 0.217403i | \(-0.0697584\pi\) |
−0.778549 | + | 0.627583i | \(0.784044\pi\) | |||||||
\(644\) | 2.84881 | − | 10.7859i | 0.112259 | − | 0.425024i | ||||
\(645\) | 23.0448 | + | 9.78053i | 0.907388 | + | 0.385108i | ||||
\(646\) | 13.9049 | + | 17.4362i | 0.547081 | + | 0.686018i | ||||
\(647\) | 12.4504 | − | 5.99580i | 0.489476 | − | 0.235719i | −0.172831 | − | 0.984951i | \(-0.555292\pi\) |
0.662307 | + | 0.749232i | \(0.269577\pi\) | |||||||
\(648\) | 7.96837 | + | 4.18391i | 0.313027 | + | 0.164360i | ||||
\(649\) | 36.7613 | + | 8.39053i | 1.44301 | + | 0.329357i | ||||
\(650\) | −4.98894 | + | 6.25593i | −0.195682 | + | 0.245378i | ||||
\(651\) | −25.0597 | + | 12.4907i | −0.982166 | + | 0.489549i | ||||
\(652\) | 6.23313 | + | 7.81610i | 0.244108 | + | 0.306102i | ||||
\(653\) | 6.57768 | + | 13.6587i | 0.257405 | + | 0.534506i | 0.989121 | − | 0.147103i | \(-0.0469948\pi\) |
−0.731717 | + | 0.681609i | \(0.761281\pi\) | |||||||
\(654\) | −14.2510 | − | 2.54872i | −0.557257 | − | 0.0996630i | ||||
\(655\) | −51.6903 | −2.01971 | ||||||||
\(656\) | −1.05826 | −0.0413182 | ||||||||
\(657\) | −0.889715 | − | 0.115911i | −0.0347111 | − | 0.00452213i | ||||
\(658\) | −3.57335 | − | 1.87226i | −0.139304 | − | 0.0729885i | ||||
\(659\) | 12.7651 | − | 2.91356i | 0.497260 | − | 0.113496i | 0.0334665 | − | 0.999440i | \(-0.489345\pi\) |
0.463793 | + | 0.885944i | \(0.346488\pi\) | |||||||
\(660\) | −22.3962 | + | 6.24233i | −0.871770 | + | 0.242983i | ||||
\(661\) | −17.8131 | + | 14.2055i | −0.692849 | + | 0.552529i | −0.905368 | − | 0.424628i | \(-0.860405\pi\) |
0.212519 | + | 0.977157i | \(0.431833\pi\) | |||||||
\(662\) | 12.4278 | − | 9.91083i | 0.483020 | − | 0.385196i | ||||
\(663\) | −30.1096 | + | 8.39224i | −1.16936 | + | 0.325928i | ||||
\(664\) | 12.5815 | − | 2.87165i | 0.488258 | − | 0.111442i | ||||
\(665\) | −20.7869 | + | 9.15778i | −0.806081 | + | 0.355124i | ||||
\(666\) | 8.39923 | + | 1.09424i | 0.325464 | + | 0.0424011i | ||||
\(667\) | −22.5472 | −0.873032 | ||||||||
\(668\) | −3.31001 | −0.128068 | ||||||||
\(669\) | −6.13410 | − | 1.09706i | −0.237158 | − | 0.0424146i | ||||
\(670\) | −15.3628 | − | 31.9011i | −0.593516 | − | 1.23245i | ||||
\(671\) | −34.6989 | − | 43.5110i | −1.33953 | − | 1.67972i | ||||
\(672\) | 1.08038 | + | 4.45340i | 0.0416764 | + | 0.171794i | ||||
\(673\) | 25.5398 | − | 32.0258i | 0.984485 | − | 1.23451i | 0.0123891 | − | 0.999923i | \(-0.496056\pi\) |
0.972096 | − | 0.234582i | \(-0.0753722\pi\) | |||||||
\(674\) | −3.52567 | − | 0.804711i | −0.135804 | − | 0.0309963i | ||||
\(675\) | 8.74215 | − | 14.8889i | 0.336486 | − | 0.573075i | ||||
\(676\) | 6.48789 | − | 3.12440i | 0.249534 | − | 0.120169i | ||||
\(677\) | 18.6187 | + | 23.3471i | 0.715575 | + | 0.897303i | 0.998078 | − | 0.0619633i | \(-0.0197362\pi\) |
−0.282503 | + | 0.959266i | \(0.591165\pi\) | |||||||
\(678\) | −13.8064 | − | 5.85963i | −0.530232 | − | 0.225038i | ||||
\(679\) | 9.35493 | − | 10.9495i | 0.359009 | − | 0.420204i | ||||
\(680\) | −9.38042 | − | 19.4786i | −0.359723 | − | 0.746971i | ||||
\(681\) | 23.4803 | + | 9.96534i | 0.899766 | + | 0.381873i | ||||
\(682\) | 27.7170 | − | 6.32623i | 1.06134 | − | 0.242244i | ||||
\(683\) | −3.59068 | + | 7.45612i | −0.137393 | + | 0.285300i | −0.958301 | − | 0.285761i | \(-0.907754\pi\) |
0.820908 | + | 0.571061i | \(0.193468\pi\) | |||||||
\(684\) | −7.47586 | − | 4.88032i | −0.285847 | − | 0.186604i | ||||
\(685\) | 1.92200i | 0.0734358i | ||||||||
\(686\) | −17.4144 | + | 6.30389i | −0.664885 | + | 0.240684i | ||||
\(687\) | 1.29122 | + | 27.2061i | 0.0492631 | + | 1.03798i | ||||
\(688\) | −3.12372 | + | 3.91702i | −0.119091 | + | 0.149335i | ||||
\(689\) | 22.4247 | + | 10.7992i | 0.854313 | + | 0.411416i | ||||
\(690\) | −5.65683 | − | 20.2955i | −0.215352 | − | 0.772636i | ||||
\(691\) | −12.0684 | + | 25.0603i | −0.459105 | + | 0.953340i | 0.534994 | + | 0.844856i | \(0.320314\pi\) |
−0.994098 | + | 0.108484i | \(0.965400\pi\) | |||||||
\(692\) | 21.3617 | − | 10.2873i | 0.812050 | − | 0.391063i | ||||
\(693\) | 21.2226 | − | 30.2246i | 0.806178 | − | 1.14814i | ||||
\(694\) | 24.1140 | + | 11.6127i | 0.915356 | + | 0.440812i | ||||
\(695\) | −28.4168 | + | 22.6617i | −1.07791 | + | 0.859606i | ||||
\(696\) | 8.14485 | − | 4.40970i | 0.308730 | − | 0.167149i | ||||
\(697\) | −4.94467 | + | 6.20041i | −0.187293 | + | 0.234857i | ||||
\(698\) | 5.25078 | − | 23.0051i | 0.198745 | − | 0.870758i | ||||
\(699\) | −14.5433 | − | 10.5099i | −0.550080 | − | 0.397521i | ||||
\(700\) | 8.63212 | − | 1.66526i | 0.326263 | − | 0.0629407i | ||||
\(701\) | 19.7551 | − | 15.7542i | 0.746140 | − | 0.595027i | −0.174858 | − | 0.984594i | \(-0.555947\pi\) |
0.920998 | + | 0.389567i | \(0.127375\pi\) | |||||||
\(702\) | 10.3900 | − | 6.97285i | 0.392145 | − | 0.263173i | ||||
\(703\) | −8.19162 | − | 1.86968i | −0.308953 | − | 0.0705165i | ||||
\(704\) | − | 4.65291i | − | 0.175363i | ||||||
\(705\) | −7.61039 | + | 0.361194i | −0.286624 | + | 0.0136033i | ||||
\(706\) | −3.10979 | − | 0.709789i | −0.117038 | − | 0.0267132i | ||||
\(707\) | −0.500442 | − | 1.13593i | −0.0188210 | − | 0.0427212i | ||||
\(708\) | −3.76861 | − | 13.5210i | −0.141633 | − | 0.508150i | ||||
\(709\) | −4.75092 | − | 20.8151i | −0.178424 | − | 0.781728i | −0.982358 | − | 0.187009i | \(-0.940120\pi\) |
0.803934 | − | 0.594719i | \(-0.202737\pi\) | |||||||
\(710\) | −23.9040 | − | 29.9746i | −0.897100 | − | 1.12493i | ||||
\(711\) | 17.3797 | + | 17.9935i | 0.651791 | + | 0.674809i | ||||
\(712\) | −1.84853 | + | 0.421916i | −0.0692768 | + | 0.0158120i | ||||
\(713\) | 5.73286 | + | 25.1173i | 0.214697 | + | 0.940650i | ||||
\(714\) | 31.1407 | + | 14.4783i | 1.16541 | + | 0.541836i | ||||
\(715\) | −7.19293 | + | 31.5143i | −0.269000 | + | 1.17857i | ||||
\(716\) | − | 12.3827i | − | 0.462763i | ||||||
\(717\) | −0.344809 | − | 7.26517i | −0.0128771 | − | 0.271323i | ||||
\(718\) | 6.84436 | − | 29.9871i | 0.255429 | − | 1.11911i | ||||
\(719\) | 2.37615 | − | 1.14429i | 0.0886153 | − | 0.0426749i | −0.389051 | − | 0.921216i | \(-0.627197\pi\) |
0.477666 | + | 0.878541i | \(0.341483\pi\) | |||||||
\(720\) | 6.01276 | + | 6.22510i | 0.224082 | + | 0.231996i | ||||
\(721\) | 0.484814 | − | 0.213587i | 0.0180554 | − | 0.00795441i | ||||
\(722\) | −7.93072 | − | 6.32454i | −0.295151 | − | 0.235375i | ||||
\(723\) | 25.6308 | + | 4.58396i | 0.953221 | + | 0.170479i | ||||
\(724\) | −7.05221 | − | 5.62395i | −0.262093 | − | 0.209012i | ||||
\(725\) | −7.70937 | − | 16.0087i | −0.286319 | − | 0.594547i | ||||
\(726\) | −13.8599 | + | 12.1714i | −0.514391 | + | 0.451723i | ||||
\(727\) | 4.40261 | − | 9.14211i | 0.163284 | − | 0.339062i | −0.803233 | − | 0.595665i | \(-0.796889\pi\) |
0.966517 | + | 0.256602i | \(0.0826031\pi\) | |||||||
\(728\) | 6.16001 | + | 1.62700i | 0.228305 | + | 0.0603007i | ||||
\(729\) | −20.0593 | + | 18.0728i | −0.742937 | + | 0.669362i | ||||
\(730\) | −0.777371 | − | 0.374362i | −0.0287718 | − | 0.0138558i | ||||
\(731\) | 8.35463 | + | 36.6040i | 0.309007 | + | 1.35385i | ||||
\(732\) | −8.09369 | + | 19.0703i | −0.299151 | + | 0.704858i | ||||
\(733\) | 21.5704 | + | 17.2018i | 0.796722 | + | 0.635364i | 0.934847 | − | 0.355050i | \(-0.115536\pi\) |
−0.138126 | + | 0.990415i | \(0.544108\pi\) | |||||||
\(734\) | −21.7699 | −0.803542 | ||||||||
\(735\) | −22.3570 | + | 26.9001i | −0.824651 | + | 0.992224i | ||||
\(736\) | 4.21649 | 0.155422 | ||||||||
\(737\) | −44.6478 | − | 35.6054i | −1.64462 | − | 1.31154i | ||||
\(738\) | 1.10040 | − | 2.97799i | 0.0405061 | − | 0.109621i | ||||
\(739\) | 2.63231 | + | 11.5329i | 0.0968310 | + | 0.424244i | 0.999987 | − | 0.00506793i | \(-0.00161318\pi\) |
−0.903156 | + | 0.429312i | \(0.858756\pi\) | |||||||
\(740\) | 7.33867 | + | 3.53412i | 0.269775 | + | 0.129917i | ||||
\(741\) | −10.9154 | + | 5.90972i | −0.400988 | + | 0.217099i | ||||
\(742\) | −11.0248 | − | 25.0249i | −0.404735 | − | 0.918692i | ||||
\(743\) | −13.7067 | + | 28.4622i | −0.502849 | + | 1.04418i | 0.482857 | + | 0.875699i | \(0.339599\pi\) |
−0.985706 | + | 0.168477i | \(0.946115\pi\) | |||||||
\(744\) | −6.98325 | − | 7.95203i | −0.256018 | − | 0.291536i | ||||
\(745\) | −0.285378 | − | 0.592593i | −0.0104554 | − | 0.0217109i | ||||
\(746\) | −28.4182 | − | 22.6628i | −1.04047 | − | 0.829744i | ||||
\(747\) | −5.00153 | + | 38.3909i | −0.182996 | + | 1.40465i | ||||
\(748\) | −27.2617 | − | 21.7404i | −0.996785 | − | 0.794909i | ||||
\(749\) | 11.8333 | + | 0.400434i | 0.432379 | + | 0.0146315i | ||||
\(750\) | −6.29724 | + | 5.53006i | −0.229943 | + | 0.201929i | ||||
\(751\) | −0.647311 | + | 0.311729i | −0.0236207 | + | 0.0113751i | −0.445657 | − | 0.895204i | \(-0.647030\pi\) |
0.422036 | + | 0.906579i | \(0.361316\pi\) | |||||||
\(752\) | 0.339290 | − | 1.48653i | 0.0123726 | − | 0.0542081i | ||||
\(753\) | 18.4724 | − | 0.876711i | 0.673171 | − | 0.0319491i | ||||
\(754\) | − | 12.8771i | − | 0.468957i | ||||||
\(755\) | 8.15970 | − | 35.7500i | 0.296962 | − | 1.30108i | ||||
\(756\) | −13.6554 | − | 1.59049i | −0.496643 | − | 0.0578457i | ||||
\(757\) | 6.13618 | + | 26.8844i | 0.223023 | + | 0.977129i | 0.955188 | + | 0.296001i | \(0.0956531\pi\) |
−0.732164 | + | 0.681128i | \(0.761490\pi\) | |||||||
\(758\) | 9.64882 | − | 2.20228i | 0.350461 | − | 0.0799904i | ||||
\(759\) | −22.4225 | − | 25.5331i | −0.813884 | − | 0.926794i | ||||
\(760\) | −5.35289 | − | 6.71231i | −0.194170 | − | 0.243481i | ||||
\(761\) | 2.00081 | + | 8.76612i | 0.0725293 | + | 0.317772i | 0.998158 | − | 0.0606602i | \(-0.0193206\pi\) |
−0.925629 | + | 0.378432i | \(0.876463\pi\) | |||||||
\(762\) | −29.5097 | + | 8.22505i | −1.06902 | + | 0.297962i | ||||
\(763\) | 21.7138 | − | 4.18889i | 0.786091 | − | 0.151648i | ||||
\(764\) | −7.91864 | − | 1.80738i | −0.286486 | − | 0.0653886i | ||||
\(765\) | 64.5674 | − | 6.14265i | 2.33444 | − | 0.222088i | ||||
\(766\) | − | 3.16716i | − | 0.114434i | ||||||
\(767\) | −19.0258 | − | 4.34251i | −0.686981 | − | 0.156799i | ||||
\(768\) | −1.52314 | + | 0.824644i | −0.0549617 | + | 0.0297568i | ||||
\(769\) | 15.0334 | − | 11.9888i | 0.542120 | − | 0.432326i | −0.313759 | − | 0.949503i | \(-0.601588\pi\) |
0.855879 | + | 0.517177i | \(0.173017\pi\) | |||||||
\(770\) | 28.4995 | − | 21.1913i | 1.02705 | − | 0.763682i | ||||
\(771\) | 23.7360 | − | 32.8452i | 0.854831 | − | 1.18289i | ||||
\(772\) | −2.57492 | + | 11.2815i | −0.0926735 | + | 0.406029i | ||||
\(773\) | −12.8114 | + | 16.0650i | −0.460795 | + | 0.577819i | −0.956890 | − | 0.290449i | \(-0.906195\pi\) |
0.496095 | + | 0.868268i | \(0.334767\pi\) | |||||||
\(774\) | −7.77453 | − | 12.8632i | −0.279450 | − | 0.462359i | ||||
\(775\) | −15.8732 | + | 12.6585i | −0.570184 | + | 0.454706i | ||||
\(776\) | 4.90424 | + | 2.36176i | 0.176052 | + | 0.0847822i | ||||
\(777\) | −12.5738 | + | 3.05034i | −0.451081 | + | 0.109430i | ||||
\(778\) | −15.1963 | + | 7.31815i | −0.544813 | + | 0.262368i | ||||
\(779\) | −1.36644 | + | 2.83745i | −0.0489579 | + | 0.101662i | ||||
\(780\) | 11.5911 | − | 3.23071i | 0.415028 | − | 0.115678i | ||||
\(781\) | −55.7110 | − | 26.8290i | −1.99350 | − | 0.960017i | ||||
\(782\) | 19.7013 | − | 24.7046i | 0.704516 | − | 0.883435i | ||||
\(783\) | 3.93991 | + | 27.5051i | 0.140801 | + | 0.982953i | ||||
\(784\) | −3.98447 | − | 5.75534i | −0.142303 | − | 0.205548i | ||||
\(785\) | − | 40.7690i | − | 1.45511i | ||||||
\(786\) | 25.1532 | + | 18.1773i | 0.897187 | + | 0.648362i | ||||
\(787\) | −21.9609 | + | 45.6023i | −0.782822 | + | 1.62555i | −0.00263929 | + | 0.999997i | \(0.500840\pi\) |
−0.780183 | + | 0.625551i | \(0.784874\pi\) | |||||||
\(788\) | 13.6266 | − | 3.11018i | 0.485427 | − | 0.110796i | ||||
\(789\) | −4.66113 | + | 10.9825i | −0.165941 | + | 0.390988i | ||||
\(790\) | 10.4379 | + | 21.6745i | 0.371363 | + | 0.771143i | ||||
\(791\) | 22.8973 | + | 0.774837i | 0.814135 | + | 0.0275500i | ||||
\(792\) | 13.0935 | + | 4.83816i | 0.465256 | + | 0.171917i | ||||
\(793\) | 17.9583 | + | 22.5190i | 0.637719 | + | 0.799675i | ||||
\(794\) | 30.4498 | − | 14.6638i | 1.08062 | − | 0.520400i | ||||
\(795\) | −41.8596 | − | 30.2503i | −1.48461 | − | 1.07287i | ||||
\(796\) | 2.06803 | + | 0.472014i | 0.0732993 | + | 0.0167301i | ||||
\(797\) | −20.0785 | + | 25.1776i | −0.711216 | + | 0.891836i | −0.997805 | − | 0.0662173i | \(-0.978907\pi\) |
0.286590 | + | 0.958053i | \(0.407478\pi\) | |||||||
\(798\) | 13.3356 | + | 2.85355i | 0.472075 | + | 0.101015i | ||||
\(799\) | −7.12433 | − | 8.93363i | −0.252041 | − | 0.316049i | ||||
\(800\) | 1.44170 | + | 2.99373i | 0.0509720 | + | 0.105844i | ||||
\(801\) | 0.734846 | − | 5.64055i | 0.0259645 | − | 0.199299i | ||||
\(802\) | 8.68556 | 0.306698 | ||||||||
\(803\) | −1.39158 | −0.0491079 | ||||||||
\(804\) | −3.74252 | + | 20.9260i | −0.131988 | + | 0.738002i | ||||
\(805\) | 19.2037 | + | 25.8264i | 0.676840 | + | 0.910260i | ||||
\(806\) | −14.3449 | + | 3.27413i | −0.505278 | + | 0.115326i | ||||
\(807\) | −10.5764 | − | 37.9458i | −0.372306 | − | 1.33575i | ||||
\(808\) | 0.366805 | − | 0.292517i | 0.0129042 | − | 0.0102907i | ||||
\(809\) | 7.50065 | − | 5.98157i | 0.263709 | − | 0.210301i | −0.482705 | − | 0.875783i | \(-0.660346\pi\) |
0.746414 | + | 0.665482i | \(0.231774\pi\) | |||||||
\(810\) | −23.7698 | + | 10.4472i | −0.835185 | + | 0.367076i | ||||
\(811\) | 41.5006 | − | 9.47224i | 1.45728 | − | 0.332615i | 0.580799 | − | 0.814047i | \(-0.302740\pi\) |
0.876484 | + | 0.481432i | \(0.159883\pi\) | |||||||
\(812\) | −9.19011 | + | 10.7566i | −0.322510 | + | 0.377483i | ||||
\(813\) | −18.4813 | − | 3.30529i | −0.648166 | − | 0.115922i | ||||
\(814\) | 13.1370 | 0.460453 | ||||||||
\(815\) | −28.8411 | −1.01026 | ||||||||
\(816\) | −2.28516 | + | 12.7773i | −0.0799965 | + | 0.447294i | ||||
\(817\) | 6.46904 | + | 13.4331i | 0.226323 | + | 0.469965i | ||||
\(818\) | −6.28488 | − | 7.88099i | −0.219746 | − | 0.275552i | ||||
\(819\) | −10.9837 | + | 15.6427i | −0.383802 | + | 0.546600i | ||||
\(820\) | 1.90352 | − | 2.38694i | 0.0664738 | − | 0.0833555i | ||||
\(821\) | 27.7630 | + | 6.33673i | 0.968936 | + | 0.221153i | 0.677570 | − | 0.735458i | \(-0.263033\pi\) |
0.291366 | + | 0.956612i | \(0.405890\pi\) | |||||||
\(822\) | 0.675885 | − | 0.935272i | 0.0235742 | − | 0.0326214i | ||||
\(823\) | −5.04639 | + | 2.43022i | −0.175906 | + | 0.0847120i | −0.519765 | − | 0.854310i | \(-0.673980\pi\) |
0.343858 | + | 0.939022i | \(0.388266\pi\) | |||||||
\(824\) | 0.124846 | + | 0.156552i | 0.00434921 | + | 0.00545373i | ||||
\(825\) | 10.4620 | − | 24.6504i | 0.364239 | − | 0.858217i | ||||
\(826\) | 12.7936 | + | 17.2057i | 0.445146 | + | 0.598663i | ||||
\(827\) | −2.95915 | − | 6.14473i | −0.102900 | − | 0.213673i | 0.843162 | − | 0.537659i | \(-0.180691\pi\) |
−0.946062 | + | 0.323986i | \(0.894977\pi\) | |||||||
\(828\) | −4.38436 | + | 11.8653i | −0.152367 | + | 0.412349i | ||||
\(829\) | −24.0573 | + | 5.49091i | −0.835543 | + | 0.190707i | −0.618827 | − | 0.785527i | \(-0.712392\pi\) |
−0.216716 | + | 0.976235i | \(0.569535\pi\) | |||||||
\(830\) | −16.1536 | + | 33.5433i | −0.560699 | + | 1.16430i | ||||
\(831\) | −11.1707 | + | 15.4577i | −0.387506 | + | 0.536222i | ||||
\(832\) | 2.40811i | 0.0834861i | ||||||||
\(833\) | −52.3381 | − | 3.54626i | −1.81341 | − | 0.122871i | ||||
\(834\) | 21.7972 | − | 1.03451i | 0.754774 | − | 0.0358220i | ||||
\(835\) | 5.95379 | − | 7.46582i | 0.206039 | − | 0.258365i | ||||
\(836\) | −12.4755 | − | 6.00790i | −0.431475 | − | 0.207788i | ||||
\(837\) | 29.6386 | − | 11.3825i | 1.02446 | − | 0.393435i | ||||
\(838\) | −5.47816 | + | 11.3755i | −0.189240 | + | 0.392961i | ||||
\(839\) | 34.6081 | − | 16.6664i | 1.19481 | − | 0.575388i | 0.272615 | − | 0.962123i | \(-0.412112\pi\) |
0.922191 | + | 0.386735i | \(0.126397\pi\) | |||||||
\(840\) | −11.9881 | − | 5.57361i | −0.413627 | − | 0.192308i | ||||
\(841\) | −0.365211 | − | 0.175876i | −0.0125935 | − | 0.00606470i | ||||
\(842\) | 12.2334 | − | 9.75580i | 0.421590 | − | 0.336207i | ||||
\(843\) | 4.77095 | + | 8.81210i | 0.164320 | + | 0.303505i | ||||
\(844\) | 17.3525 | − | 21.7593i | 0.597297 | − | 0.748987i | ||||
\(845\) | −4.62274 | + | 20.2535i | −0.159027 | + | 0.696743i | ||||
\(846\) | 3.83034 | + | 2.50049i | 0.131690 | + | 0.0859685i | ||||
\(847\) | 13.0767 | − | 24.9579i | 0.449322 | − | 0.857562i | ||||
\(848\) | 8.08080 | − | 6.44422i | 0.277496 | − | 0.221295i | ||||
\(849\) | 26.3762 | + | 48.7176i | 0.905227 | + | 1.67198i | ||||
\(850\) | 24.2767 | + | 5.54100i | 0.832684 | + | 0.190055i | ||||
\(851\) | 11.9048i | 0.408093i | ||||||||
\(852\) | 1.09122 | + | 22.9921i | 0.0373845 | + | 0.787696i | ||||
\(853\) | −44.2321 | − | 10.0957i | −1.51448 | − | 0.345670i | −0.617083 | − | 0.786898i | \(-0.711686\pi\) |
−0.897395 | + | 0.441228i | \(0.854543\pi\) | |||||||
\(854\) | 1.07025 | − | 31.6273i | 0.0366233 | − | 1.08226i | ||||
\(855\) | 24.4547 | − | 8.08366i | 0.836333 | − | 0.276455i | ||||
\(856\) | 0.995809 | + | 4.36293i | 0.0340361 | + | 0.149122i | ||||
\(857\) | −1.49189 | − | 1.87077i | −0.0509621 | − | 0.0639044i | 0.755697 | − | 0.654921i | \(-0.227298\pi\) |
−0.806659 | + | 0.591017i | \(0.798727\pi\) | |||||||
\(858\) | 14.5824 | − | 12.8059i | 0.497835 | − | 0.437185i | ||||
\(859\) | −31.2446 | + | 7.13139i | −1.06605 | + | 0.243320i | −0.719345 | − | 0.694653i | \(-0.755558\pi\) |
−0.346709 | + | 0.937973i | \(0.612701\pi\) | |||||||
\(860\) | −3.21623 | − | 14.0912i | −0.109673 | − | 0.480507i | ||||
\(861\) | 0.0659439 | + | 4.84912i | 0.00224736 | + | 0.165258i | ||||
\(862\) | −6.18227 | + | 27.0863i | −0.210569 | + | 0.922563i | ||||
\(863\) | 44.5268i | 1.51571i | 0.652423 | + | 0.757855i | \(0.273753\pi\) | ||||
−0.652423 | + | 0.757855i | \(0.726247\pi\) | |||||||
\(864\) | −0.736791 | − | 5.14365i | −0.0250661 | − | 0.174991i | ||||
\(865\) | −15.2206 | + | 66.6858i | −0.517516 | + | 2.26738i | ||||
\(866\) | −7.58657 | + | 3.65350i | −0.257802 | + | 0.124151i | ||||
\(867\) | 44.7561 | + | 50.9651i | 1.52000 | + | 1.73087i | ||||
\(868\) | 14.3194 | + | 7.50268i | 0.486031 | + | 0.254657i | ||||
\(869\) | 30.3349 | + | 24.1912i | 1.02904 | + | 0.820632i | ||||
\(870\) | −4.70412 | + | 26.3027i | −0.159485 | + | 0.891746i | ||||
\(871\) | 23.1074 | + | 18.4275i | 0.782964 | + | 0.624393i | ||||
\(872\) | 3.62655 | + | 7.53062i | 0.122811 | + | 0.255019i | ||||
\(873\) | −11.7456 | + | 11.3449i | −0.397527 | + | 0.383967i | ||||
\(874\) | 5.44438 | − | 11.3054i | 0.184159 | − | 0.382410i | ||||
\(875\) | 5.94139 | − | 11.3396i | 0.200856 | − | 0.383347i | ||||
\(876\) | 0.246633 | + | 0.455538i | 0.00833295 | + | 0.0153912i | ||||
\(877\) | −25.3033 | − | 12.1854i | −0.854433 | − | 0.411473i | −0.0452119 | − | 0.998977i | \(-0.514396\pi\) |
−0.809221 | + | 0.587504i | \(0.800111\pi\) | |||||||
\(878\) | −1.86097 | − | 8.15343i | −0.0628046 | − | 0.275165i | ||||
\(879\) | 15.8150 | + | 6.71210i | 0.533427 | + | 0.226394i | ||||
\(880\) | 10.4948 | + | 8.36929i | 0.353778 | + | 0.282129i | ||||
\(881\) | −0.634950 | −0.0213920 | −0.0106960 | − | 0.999943i | \(-0.503405\pi\) | ||||
−0.0106960 | + | 0.999943i | \(0.503405\pi\) | |||||||
\(882\) | 20.3388 | − | 5.22795i | 0.684844 | − | 0.176034i | ||||
\(883\) | 15.3886 | 0.517867 | 0.258933 | − | 0.965895i | \(-0.416629\pi\) | ||||
0.258933 | + | 0.965895i | \(0.416629\pi\) | |||||||
\(884\) | 14.1092 | + | 11.2517i | 0.474545 | + | 0.378437i | ||||
\(885\) | 37.2756 | + | 15.8203i | 1.25301 | + | 0.531793i | ||||
\(886\) | 2.75137 | + | 12.0545i | 0.0924341 | + | 0.404980i | ||||
\(887\) | −2.88090 | − | 1.38737i | −0.0967311 | − | 0.0465832i | 0.384893 | − | 0.922961i | \(-0.374238\pi\) |
−0.481624 | + | 0.876378i | \(0.659953\pi\) | |||||||
\(888\) | −2.32830 | − | 4.30045i | −0.0781327 | − | 0.144314i | ||||
\(889\) | 37.5517 | − | 27.9222i | 1.25944 | − | 0.936481i | ||||
\(890\) | 2.37336 | − | 4.92832i | 0.0795551 | − | 0.165198i | ||||
\(891\) | −27.2295 | + | 31.8146i | −0.912223 | + | 1.06583i | ||||
\(892\) | 1.56099 | + | 3.24143i | 0.0522658 | + | 0.108531i | ||||
\(893\) | −3.54763 | − | 2.82914i | −0.118717 | − | 0.0946735i | ||||
\(894\) | −0.0695207 | + | 0.388719i | −0.00232512 | + | 0.0130007i | ||||
\(895\) | 27.9295 | + | 22.2730i | 0.933580 | + | 0.744505i | ||||
\(896\) | 1.71861 | − | 2.01156i | 0.0574148 | − | 0.0672015i | ||||
\(897\) | 11.6047 | + | 13.2146i | 0.387470 | + | 0.441224i | ||||
\(898\) | 10.1499 | − | 4.88794i | 0.338707 | − | 0.163113i | ||||
\(899\) | 7.27047 | − | 31.8540i | 0.242484 | − | 1.06239i | ||||
\(900\) | −9.92357 | + | 0.944083i | −0.330786 | + | 0.0314694i | ||||
\(901\) | − | 77.4560i | − | 2.58043i | ||||||
\(902\) | 1.09569 | − | 4.80055i | 0.0364826 | − | 0.159841i | ||||
\(903\) | 18.1430 | + | 14.0693i | 0.603762 | + | 0.468196i | ||||
\(904\) | 1.92688 | + | 8.44222i | 0.0640872 | + | 0.280784i | ||||
\(905\) | 25.3699 | − | 5.79052i | 0.843324 | − | 0.192483i | ||||
\(906\) | −16.5424 | + | 14.5270i | −0.549583 | + | 0.482628i | ||||
\(907\) | 35.6060 | + | 44.6485i | 1.18228 | + | 1.48253i | 0.839708 | + | 0.543039i | \(0.182726\pi\) |
0.342571 | + | 0.939492i | \(0.388702\pi\) | |||||||
\(908\) | −3.27701 | − | 14.3575i | −0.108751 | − | 0.476471i | ||||
\(909\) | 0.441744 | + | 1.33637i | 0.0146517 | + | 0.0443244i | ||||
\(910\) | −14.7499 | + | 10.9675i | −0.488954 | + | 0.363570i | ||||
\(911\) | 41.8336 | + | 9.54825i | 1.38601 | + | 0.316348i | 0.849519 | − | 0.527558i | \(-0.176892\pi\) |
0.536491 | + | 0.843906i | \(0.319749\pi\) | |||||||
\(912\) | 0.244360 | + | 5.14869i | 0.00809156 | + | 0.170490i | ||||
\(913\) | 60.0463i | 1.98724i | ||||||||
\(914\) | 39.4294 | + | 8.99951i | 1.30421 | + | 0.297677i | ||||
\(915\) | −28.4552 | − | 52.5577i | −0.940701 | − | 1.73750i | ||||
\(916\) | 12.2944 | − | 9.80447i | 0.406219 | − | 0.323949i | ||||
\(917\) | −45.8332 | − | 12.1056i | −1.51355 | − | 0.399763i | ||||
\(918\) | −33.5795 | − | 19.7165i | −1.10829 | − | 0.650741i | ||||
\(919\) | −3.93329 | + | 17.2329i | −0.129747 | + | 0.568461i | 0.867702 | + | 0.497085i | \(0.165596\pi\) |
−0.997449 | + | 0.0713759i | \(0.977261\pi\) | |||||||
\(920\) | −7.58428 | + | 9.51039i | −0.250046 | + | 0.313548i | ||||
\(921\) | −6.31658 | − | 11.6669i | −0.208139 | − | 0.384438i | ||||
\(922\) | −6.90319 | + | 5.50511i | −0.227344 | + | 0.181301i | ||||
\(923\) | 28.8331 | + | 13.8853i | 0.949054 | + | 0.457041i | ||||
\(924\) | −21.3203 | + | 0.289939i | −0.701388 | + | 0.00953828i | ||||
\(925\) | −8.45251 | + | 4.07052i | −0.277917 | + | 0.133838i | ||||
\(926\) | −4.15612 | + | 8.63027i | −0.136579 | + | 0.283608i | ||||
\(927\) | −0.570358 | + | 0.188536i | −0.0187330 | + | 0.00619232i | ||||
\(928\) | −4.81784 | − | 2.32015i | −0.158153 | − | 0.0761626i | ||||
\(929\) | −23.2399 | + | 29.1420i | −0.762478 | + | 0.956117i | −0.999883 | − | 0.0152941i | \(-0.995132\pi\) |
0.237406 | + | 0.971411i | \(0.423703\pi\) | |||||||
\(930\) | 30.4969 | − | 1.44740i | 1.00003 | − | 0.0474622i | ||||
\(931\) | −20.5762 | + | 3.25192i | −0.674358 | + | 0.106577i | ||||
\(932\) | 10.3597i | 0.339342i | ||||||||
\(933\) | −16.7001 | + | 23.1092i | −0.546737 | + | 0.756561i | ||||
\(934\) | 3.72779 | − | 7.74083i | 0.121977 | − | 0.253288i | ||||
\(935\) | 98.0722 | − | 22.3843i | 3.20730 | − | 0.732046i | ||||
\(936\) | −6.77650 | − | 2.50398i | −0.221497 | − | 0.0818453i | ||||
\(937\) | −20.6904 | − | 42.9641i | −0.675927 | − | 1.40358i | −0.902975 | − | 0.429693i | \(-0.858622\pi\) |
0.227048 | − | 0.973883i | \(-0.427092\pi\) | |||||||
\(938\) | −6.15092 | − | 31.8843i | −0.200835 | − | 1.04106i | ||||
\(939\) | −17.0057 | + | 40.0687i | −0.554960 | + | 1.30759i | ||||
\(940\) | 2.74261 | + | 3.43913i | 0.0894541 | + | 0.112172i | ||||
\(941\) | −14.5846 | + | 7.02355i | −0.475443 | + | 0.228961i | −0.656230 | − | 0.754561i | \(-0.727850\pi\) |
0.180787 | + | 0.983522i | \(0.442136\pi\) | |||||||
\(942\) | −14.3367 | + | 19.8388i | −0.467115 | + | 0.646382i | ||||
\(943\) | 4.35027 | + | 0.992922i | 0.141664 | + | 0.0323340i | ||||
\(944\) | −5.05270 | + | 6.33588i | −0.164451 | + | 0.206215i | ||||
\(945\) | 28.1497 | − | 27.9393i | 0.915709 | − | 0.908865i | ||||
\(946\) | −14.5344 | − | 18.2255i | −0.472553 | − | 0.592563i | ||||
\(947\) | −13.9762 | − | 29.0218i | −0.454165 | − | 0.943083i | −0.994802 | − | 0.101827i | \(-0.967531\pi\) |
0.540637 | − | 0.841256i | \(-0.318183\pi\) | |||||||
\(948\) | 2.54276 | − | 14.2176i | 0.0825851 | − | 0.461768i | ||||
\(949\) | 0.720212 | 0.0233791 | ||||||||
\(950\) | 9.88843 | 0.320823 | ||||||||
\(951\) | −20.1856 | − | 3.61011i | −0.654564 | − | 0.117066i | ||||
\(952\) | −3.75571 | − | 19.4683i | −0.121723 | − | 0.630972i | ||||
\(953\) | −52.8885 | + | 12.0715i | −1.71323 | + | 0.391033i | −0.962863 | − | 0.269992i | \(-0.912979\pi\) |
−0.750364 | + | 0.661025i | \(0.770122\pi\) | |||||||
\(954\) | 9.73173 | + | 29.4404i | 0.315076 | + | 0.953169i | ||||
\(955\) | 18.3200 | − | 14.6097i | 0.592822 | − | 0.472759i | ||||
\(956\) | −3.28312 | + | 2.61820i | −0.106184 | + | 0.0846787i | ||||
\(957\) | 11.5706 | + | 41.5128i | 0.374024 | + | 1.34192i | ||||
\(958\) | −2.28468 | + | 0.521462i | −0.0738145 | + | 0.0168477i | ||||
\(959\) | −0.450122 | + | 1.70421i | −0.0145352 | + | 0.0550320i | ||||
\(960\) | 0.879704 | − | 4.91879i | 0.0283923 | − | 0.158753i | ||||
\(961\) | −6.33352 | −0.204307 | ||||||||
\(962\) | −6.79906 | −0.219210 | ||||||||
\(963\) | −13.3129 | − | 1.73439i | −0.429001 | − | 0.0558899i | ||||
\(964\) | −6.52248 | − | 13.5441i | −0.210075 | − | 0.436225i | ||||
\(965\) | −20.8141 | − | 26.1000i | −0.670029 | − | 0.840190i | ||||
\(966\) | −0.262744 | − | 19.3206i | −0.00845364 | − | 0.621630i | ||||
\(967\) | 26.8752 | − | 33.7004i | 0.864248 | − | 1.08373i | −0.131473 | − | 0.991320i | \(-0.541971\pi\) |
0.995721 | − | 0.0924125i | \(-0.0294579\pi\) | |||||||
\(968\) | 10.3826 | + | 2.36976i | 0.333709 | + | 0.0761668i | ||||
\(969\) | 31.3082 | + | 22.6252i | 1.00576 | + | 0.726826i | ||||
\(970\) | −14.1484 | + | 6.81350i | −0.454277 | + | 0.218768i | ||||
\(971\) | 1.64618 | + | 2.06424i | 0.0528284 | + | 0.0662447i | 0.807544 | − | 0.589808i | \(-0.200796\pi\) |
−0.754715 | + | 0.656052i | \(0.772225\pi\) | |||||||
\(972\) | 15.2405 | + | 3.27508i | 0.488840 | + | 0.105048i | ||||
\(973\) | −30.5041 | + | 13.4388i | −0.977917 | + | 0.430827i | ||||
\(974\) | 2.02135 | + | 4.19737i | 0.0647682 | + | 0.134492i | ||||
\(975\) | −5.41458 | + | 12.7578i | −0.173405 | + | 0.408576i | ||||
\(976\) | 11.6609 | − | 2.66153i | 0.373258 | − | 0.0851936i | ||||
\(977\) | 0.531524 | − | 1.10372i | 0.0170050 | − | 0.0353112i | −0.892293 | − | 0.451456i | \(-0.850905\pi\) |
0.909298 | + | 0.416145i | \(0.136619\pi\) | |||||||
\(978\) | 14.0345 | + | 10.1422i | 0.448773 | + | 0.324311i | ||||
\(979\) | − | 8.82226i | − | 0.281961i | ||||||
\(980\) | 20.1483 | + | 1.36518i | 0.643613 | + | 0.0436092i | ||||
\(981\) | −24.9624 | + | 2.37481i | −0.796987 | + | 0.0758217i | ||||
\(982\) | 9.53907 | − | 11.9616i | 0.304404 | − | 0.381711i | ||||
\(983\) | −44.8504 | − | 21.5988i | −1.43050 | − | 0.688895i | −0.451413 | − | 0.892315i | \(-0.649080\pi\) |
−0.979091 | + | 0.203421i | \(0.934794\pi\) | |||||||
\(984\) | −1.76566 | + | 0.492131i | −0.0562873 | + | 0.0156886i | ||||
\(985\) | −17.4954 | + | 36.3295i | −0.557448 | + | 1.15755i | ||||
\(986\) | −36.1049 | + | 17.3872i | −1.14981 | + | 0.553722i | ||||
\(987\) | −6.83264 | − | 1.46205i | −0.217485 | − | 0.0465375i | ||||
\(988\) | 6.45669 | + | 3.10938i | 0.205415 | + | 0.0989225i | ||||
\(989\) | 16.5160 | − | 13.1711i | 0.525180 | − | 0.418817i | ||||
\(990\) | −34.4641 | + | 20.8301i | −1.09534 | + | 0.662024i | ||||
\(991\) | −13.1258 | + | 16.4592i | −0.416954 | + | 0.522844i | −0.945307 | − | 0.326181i | \(-0.894238\pi\) |
0.528353 | + | 0.849025i | \(0.322810\pi\) | |||||||
\(992\) | −1.35963 | + | 5.95692i | −0.0431683 | + | 0.189132i | ||||
\(993\) | 16.1263 | − | 22.3152i | 0.511753 | − | 0.708150i | ||||
\(994\) | −14.1755 | − | 32.1764i | −0.449619 | − | 1.02057i | ||||
\(995\) | −4.78444 | + | 3.81547i | −0.151677 | + | 0.120958i | ||||
\(996\) | 19.6563 | − | 10.6421i | 0.622834 | − | 0.337208i | ||||
\(997\) | 14.5443 | + | 3.31963i | 0.460621 | + | 0.105134i | 0.446533 | − | 0.894767i | \(-0.352658\pi\) |
0.0140879 | + | 0.999901i | \(0.495516\pi\) | |||||||
\(998\) | − | 11.9680i | − | 0.378839i | ||||||
\(999\) | 14.5226 | − | 2.08026i | 0.459475 | − | 0.0658165i |
(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 | 294.2.j.a.251.1 | yes | 120 | |
3.2 | odd | 2 | inner | 294.2.j.a.251.19 | yes | 120 | |
49.41 | odd | 14 | inner | 294.2.j.a.41.19 | yes | 120 | |
147.41 | even | 14 | inner | 294.2.j.a.41.1 | ✓ | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
294.2.j.a.41.1 | ✓ | 120 | 147.41 | even | 14 | inner | |
294.2.j.a.41.19 | yes | 120 | 49.41 | odd | 14 | inner | |
294.2.j.a.251.1 | yes | 120 | 1.1 | even | 1 | trivial | |
294.2.j.a.251.19 | yes | 120 | 3.2 | odd | 2 | inner |