Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(13,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.t (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 133.2 | ||
Character | \(\chi\) | \(=\) | 216.133 |
Dual form | 216.2.t.a.13.2 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39072 | − | 0.256713i | −0.983387 | − | 0.181524i | ||||
\(3\) | −1.23413 | − | 1.21529i | −0.712525 | − | 0.701647i | ||||
\(4\) | 1.86820 | + | 0.714031i | 0.934098 | + | 0.357016i | ||||
\(5\) | 1.46572 | + | 1.74677i | 0.655488 | + | 0.781180i | 0.986731 | − | 0.162365i | \(-0.0519123\pi\) |
−0.331243 | + | 0.943546i | \(0.607468\pi\) | |||||||
\(6\) | 1.40435 | + | 2.00694i | 0.573322 | + | 0.819330i | ||||
\(7\) | −1.21500 | + | 0.442225i | −0.459228 | + | 0.167145i | −0.561266 | − | 0.827635i | \(-0.689686\pi\) |
0.102039 | + | 0.994780i | \(0.467463\pi\) | |||||||
\(8\) | −2.41483 | − | 1.47261i | −0.853773 | − | 0.520645i | ||||
\(9\) | 0.0461478 | + | 2.99965i | 0.0153826 | + | 0.999882i | ||||
\(10\) | −1.58998 | − | 2.80554i | −0.502796 | − | 0.887189i | ||||
\(11\) | −2.93828 | + | 3.50170i | −0.885924 | + | 1.05580i | 0.112145 | + | 0.993692i | \(0.464228\pi\) |
−0.998069 | + | 0.0621118i | \(0.980216\pi\) | |||||||
\(12\) | −1.43784 | − | 3.15160i | −0.415069 | − | 0.909790i | ||||
\(13\) | 4.95227 | − | 0.873219i | 1.37351 | − | 0.242187i | 0.562297 | − | 0.826935i | \(-0.309918\pi\) |
0.811215 | + | 0.584748i | \(0.198807\pi\) | |||||||
\(14\) | 1.80325 | − | 0.303103i | 0.481939 | − | 0.0810077i | ||||
\(15\) | 0.313950 | − | 3.93701i | 0.0810615 | − | 1.01653i | ||||
\(16\) | 2.98032 | + | 2.66790i | 0.745080 | + | 0.666976i | ||||
\(17\) | 0.909480 | + | 1.57526i | 0.220581 | + | 0.382058i | 0.954985 | − | 0.296655i | \(-0.0958713\pi\) |
−0.734403 | + | 0.678713i | \(0.762538\pi\) | |||||||
\(18\) | 0.705870 | − | 4.18351i | 0.166375 | − | 0.986063i | ||||
\(19\) | 6.49748 | + | 3.75132i | 1.49062 | + | 0.860612i | 0.999942 | − | 0.0107271i | \(-0.00341459\pi\) |
0.490681 | + | 0.871339i | \(0.336748\pi\) | |||||||
\(20\) | 1.49100 | + | 4.30988i | 0.333397 | + | 0.963719i | ||||
\(21\) | 2.03690 | + | 0.930816i | 0.444488 | + | 0.203121i | ||||
\(22\) | 4.98525 | − | 4.11559i | 1.06286 | − | 0.877447i | ||||
\(23\) | 0.835352 | + | 0.304043i | 0.174183 | + | 0.0633974i | 0.427640 | − | 0.903949i | \(-0.359345\pi\) |
−0.253457 | + | 0.967347i | \(0.581567\pi\) | |||||||
\(24\) | 1.19057 | + | 4.75211i | 0.243025 | + | 0.970020i | ||||
\(25\) | −0.0346491 | + | 0.196505i | −0.00692983 | + | 0.0393010i | ||||
\(26\) | −7.11138 | − | 0.0569110i | −1.39466 | − | 0.0111612i | ||||
\(27\) | 3.58848 | − | 3.75803i | 0.690604 | − | 0.723233i | ||||
\(28\) | −2.58563 | − | 0.0413872i | −0.488637 | − | 0.00782145i | ||||
\(29\) | 1.50546 | + | 0.265453i | 0.279557 | + | 0.0492934i | 0.311669 | − | 0.950191i | \(-0.399112\pi\) |
−0.0321117 | + | 0.999484i | \(0.510223\pi\) | |||||||
\(30\) | −1.44730 | + | 5.39468i | −0.264239 | + | 0.984929i | ||||
\(31\) | −1.86625 | − | 0.679258i | −0.335188 | − | 0.121998i | 0.168943 | − | 0.985626i | \(-0.445965\pi\) |
−0.504130 | + | 0.863628i | \(0.668187\pi\) | |||||||
\(32\) | −3.45990 | − | 4.47539i | −0.611629 | − | 0.791144i | ||||
\(33\) | 7.88180 | − | 0.750698i | 1.37204 | − | 0.130680i | ||||
\(34\) | −0.860439 | − | 2.42423i | −0.147564 | − | 0.415751i | ||||
\(35\) | −2.55331 | − | 1.47416i | −0.431589 | − | 0.249178i | ||||
\(36\) | −2.05563 | + | 5.63688i | −0.342605 | + | 0.939480i | ||||
\(37\) | −8.19426 | + | 4.73096i | −1.34713 | + | 0.777765i | −0.987842 | − | 0.155463i | \(-0.950313\pi\) |
−0.359286 | + | 0.933227i | \(0.616980\pi\) | |||||||
\(38\) | −8.07315 | − | 6.88502i | −1.30964 | − | 1.11690i | ||||
\(39\) | −7.17295 | − | 4.94077i | −1.14859 | − | 0.791157i | ||||
\(40\) | −0.967152 | − | 6.37659i | −0.152920 | − | 1.00823i | ||||
\(41\) | 0.859892 | + | 4.87669i | 0.134293 | + | 0.761611i | 0.975350 | + | 0.220665i | \(0.0708227\pi\) |
−0.841057 | + | 0.540946i | \(0.818066\pi\) | |||||||
\(42\) | −2.59380 | − | 1.81740i | −0.400232 | − | 0.280431i | ||||
\(43\) | −1.62715 | + | 1.93916i | −0.248138 | + | 0.295720i | −0.875708 | − | 0.482840i | \(-0.839605\pi\) |
0.627570 | + | 0.778560i | \(0.284050\pi\) | |||||||
\(44\) | −7.98961 | + | 4.44385i | −1.20448 | + | 0.669936i | ||||
\(45\) | −5.17206 | + | 4.47724i | −0.771005 | + | 0.667427i | ||||
\(46\) | −1.08369 | − | 0.637285i | −0.159781 | − | 0.0939625i | ||||
\(47\) | 7.64813 | − | 2.78369i | 1.11560 | − | 0.406043i | 0.282552 | − | 0.959252i | \(-0.408819\pi\) |
0.833043 | + | 0.553208i | \(0.186597\pi\) | |||||||
\(48\) | −0.435825 | − | 6.91448i | −0.0629059 | − | 0.998019i | ||||
\(49\) | −4.08164 | + | 3.42490i | −0.583092 | + | 0.489272i | ||||
\(50\) | 0.0986326 | − | 0.264388i | 0.0139488 | − | 0.0373902i | ||||
\(51\) | 0.791986 | − | 3.04936i | 0.110900 | − | 0.426996i | ||||
\(52\) | 9.87532 | + | 1.90473i | 1.36946 | + | 0.264139i | ||||
\(53\) | − | 3.70167i | − | 0.508464i | −0.967143 | − | 0.254232i | \(-0.918177\pi\) | ||
0.967143 | − | 0.254232i | \(-0.0818227\pi\) | |||||||
\(54\) | −5.95530 | + | 4.30515i | −0.810414 | + | 0.585857i | ||||
\(55\) | −10.4234 | −1.40549 | ||||||||
\(56\) | 3.58525 | + | 0.721322i | 0.479100 | + | 0.0963907i | ||||
\(57\) | −3.45979 | − | 12.5259i | −0.458260 | − | 1.65910i | ||||
\(58\) | −2.02553 | − | 0.755642i | −0.265965 | − | 0.0992207i | ||||
\(59\) | 3.63062 | + | 4.32680i | 0.472666 | + | 0.563302i | 0.948721 | − | 0.316114i | \(-0.102378\pi\) |
−0.476055 | + | 0.879415i | \(0.657934\pi\) | |||||||
\(60\) | 3.39767 | − | 7.13094i | 0.438637 | − | 0.920600i | ||||
\(61\) | −4.89674 | − | 13.4537i | −0.626963 | − | 1.72257i | −0.689264 | − | 0.724510i | \(-0.742066\pi\) |
0.0623005 | − | 0.998057i | \(-0.480156\pi\) | |||||||
\(62\) | 2.42105 | + | 1.42375i | 0.307473 | + | 0.180816i | ||||
\(63\) | −1.38259 | − | 3.62417i | −0.174190 | − | 0.456602i | ||||
\(64\) | 3.66285 | + | 7.11221i | 0.457857 | + | 0.889026i | ||||
\(65\) | 8.78393 | + | 7.37060i | 1.08951 | + | 0.914210i | ||||
\(66\) | −11.1541 | − | 0.979351i | −1.37297 | − | 0.120550i | ||||
\(67\) | 8.09804 | − | 1.42790i | 0.989333 | − | 0.174446i | 0.344514 | − | 0.938781i | \(-0.388044\pi\) |
0.644819 | + | 0.764335i | \(0.276933\pi\) | |||||||
\(68\) | 0.574298 | + | 3.59230i | 0.0696439 | + | 0.435631i | ||||
\(69\) | −0.661432 | − | 1.39042i | −0.0796270 | − | 0.167387i | ||||
\(70\) | 3.17251 | + | 2.70561i | 0.379187 | + | 0.323382i | ||||
\(71\) | −4.59959 | − | 7.96673i | −0.545871 | − | 0.945477i | −0.998552 | − | 0.0538037i | \(-0.982865\pi\) |
0.452680 | − | 0.891673i | \(-0.350468\pi\) | |||||||
\(72\) | 4.30586 | − | 7.31160i | 0.507451 | − | 0.861681i | ||||
\(73\) | −5.72007 | + | 9.90745i | −0.669484 | + | 1.15958i | 0.308565 | + | 0.951203i | \(0.400151\pi\) |
−0.978049 | + | 0.208377i | \(0.933182\pi\) | |||||||
\(74\) | 12.6104 | − | 4.47586i | 1.46593 | − | 0.520308i | ||||
\(75\) | 0.281572 | − | 0.200404i | 0.0325131 | − | 0.0231406i | ||||
\(76\) | 9.46001 | + | 11.6476i | 1.08514 | + | 1.33607i | ||||
\(77\) | 2.02148 | − | 5.55396i | 0.230369 | − | 0.632932i | ||||
\(78\) | 8.70720 | + | 8.71261i | 0.985896 | + | 0.986509i | ||||
\(79\) | −1.39403 | + | 7.90593i | −0.156841 | + | 0.889487i | 0.800243 | + | 0.599676i | \(0.204704\pi\) |
−0.957084 | + | 0.289811i | \(0.906407\pi\) | |||||||
\(80\) | −0.291918 | + | 9.11632i | −0.0326375 | + | 1.01924i | ||||
\(81\) | −8.99574 | + | 0.276854i | −0.999527 | + | 0.0307615i | ||||
\(82\) | 0.0560425 | − | 7.00285i | 0.00618886 | − | 0.773336i | ||||
\(83\) | −13.3270 | − | 2.34991i | −1.46283 | − | 0.257936i | −0.615133 | − | 0.788423i | \(-0.710898\pi\) |
−0.847693 | + | 0.530488i | \(0.822009\pi\) | |||||||
\(84\) | 3.14070 | + | 3.19336i | 0.342678 | + | 0.348424i | ||||
\(85\) | −1.41859 | + | 3.89754i | −0.153868 | + | 0.422748i | ||||
\(86\) | 2.76072 | − | 2.27912i | 0.297696 | − | 0.245764i | ||||
\(87\) | −1.53533 | − | 2.15717i | −0.164605 | − | 0.231273i | ||||
\(88\) | 12.2521 | − | 4.12911i | 1.30608 | − | 0.440164i | ||||
\(89\) | 3.65721 | − | 6.33447i | 0.387663 | − | 0.671452i | −0.604472 | − | 0.796627i | \(-0.706616\pi\) |
0.992135 | + | 0.125174i | \(0.0399490\pi\) | |||||||
\(90\) | 8.34224 | − | 4.89884i | 0.879350 | − | 0.516383i | ||||
\(91\) | −5.63086 | + | 3.25098i | −0.590275 | + | 0.340795i | ||||
\(92\) | 1.34351 | + | 1.16448i | 0.140070 | + | 0.121405i | ||||
\(93\) | 1.47769 | + | 3.10632i | 0.153230 | + | 0.322110i | ||||
\(94\) | −11.3510 | + | 1.90796i | −1.17077 | + | 0.196791i | ||||
\(95\) | 2.97075 | + | 16.8480i | 0.304793 | + | 1.72857i | ||||
\(96\) | −1.16893 | + | 9.72798i | −0.119303 | + | 0.992858i | ||||
\(97\) | 2.14122 | + | 1.79669i | 0.217408 | + | 0.182427i | 0.744987 | − | 0.667079i | \(-0.232456\pi\) |
−0.527579 | + | 0.849506i | \(0.676900\pi\) | |||||||
\(98\) | 6.55563 | − | 3.71527i | 0.662219 | − | 0.375299i | ||||
\(99\) | −10.6395 | − | 8.65220i | −1.06931 | − | 0.869579i | ||||
\(100\) | −0.205042 | + | 0.342369i | −0.0205042 | + | 0.0342369i | ||||
\(101\) | 0.520014 | + | 1.42873i | 0.0517434 | + | 0.142164i | 0.962872 | − | 0.269958i | \(-0.0870099\pi\) |
−0.911129 | + | 0.412122i | \(0.864788\pi\) | |||||||
\(102\) | −1.88424 | + | 4.03749i | −0.186568 | + | 0.399771i | ||||
\(103\) | 8.67365 | − | 7.27806i | 0.854640 | − | 0.717128i | −0.106166 | − | 0.994348i | \(-0.533858\pi\) |
0.960806 | + | 0.277220i | \(0.0894132\pi\) | |||||||
\(104\) | −13.2448 | − | 5.18407i | −1.29876 | − | 0.508340i | ||||
\(105\) | 1.35959 | + | 4.92231i | 0.132683 | + | 0.480369i | ||||
\(106\) | −0.950268 | + | 5.14799i | −0.0922982 | + | 0.500017i | ||||
\(107\) | − | 8.87714i | − | 0.858186i | −0.903260 | − | 0.429093i | \(-0.858833\pi\) | ||
0.903260 | − | 0.429093i | \(-0.141167\pi\) | |||||||
\(108\) | 9.38734 | − | 4.45845i | 0.903297 | − | 0.429015i | ||||
\(109\) | − | 3.79557i | − | 0.363550i | −0.983340 | − | 0.181775i | \(-0.941816\pi\) | ||
0.983340 | − | 0.181775i | \(-0.0581842\pi\) | |||||||
\(110\) | 14.4960 | + | 2.67581i | 1.38214 | + | 0.255129i | ||||
\(111\) | 15.8622 | + | 4.11978i | 1.50558 | + | 0.391032i | ||||
\(112\) | −4.80091 | − | 1.92354i | −0.453643 | − | 0.181757i | ||||
\(113\) | 3.60533 | − | 3.02523i | 0.339161 | − | 0.284590i | −0.457259 | − | 0.889333i | \(-0.651169\pi\) |
0.796420 | + | 0.604744i | \(0.206724\pi\) | |||||||
\(114\) | 1.59602 | + | 18.3082i | 0.149481 | + | 1.71472i | ||||
\(115\) | 0.693295 | + | 1.90481i | 0.0646501 | + | 0.177625i | ||||
\(116\) | 2.62295 | + | 1.57087i | 0.243535 | + | 0.145851i | ||||
\(117\) | 2.84788 | + | 14.8148i | 0.263287 | + | 1.36962i | ||||
\(118\) | −3.93842 | − | 6.94939i | −0.362561 | − | 0.639743i | ||||
\(119\) | −1.80164 | − | 1.51176i | −0.165156 | − | 0.138582i | ||||
\(120\) | −6.55581 | + | 9.04490i | −0.598461 | + | 0.825683i | ||||
\(121\) | −1.71832 | − | 9.74509i | −0.156211 | − | 0.885917i | ||||
\(122\) | 3.35625 | + | 19.9673i | 0.303861 | + | 1.80776i | ||||
\(123\) | 4.86537 | − | 7.06348i | 0.438696 | − | 0.636893i | ||||
\(124\) | −3.00150 | − | 2.60154i | −0.269543 | − | 0.233626i | ||||
\(125\) | 9.47973 | − | 5.47313i | 0.847893 | − | 0.489531i | ||||
\(126\) | 0.992418 | + | 5.39513i | 0.0884116 | + | 0.480636i | ||||
\(127\) | 2.25950 | − | 3.91357i | 0.200498 | − | 0.347273i | −0.748191 | − | 0.663484i | \(-0.769077\pi\) |
0.948689 | + | 0.316210i | \(0.102411\pi\) | |||||||
\(128\) | −3.26820 | − | 10.8314i | −0.288871 | − | 0.957368i | ||||
\(129\) | 4.36476 | − | 0.415719i | 0.384296 | − | 0.0366020i | ||||
\(130\) | −10.3239 | − | 12.5054i | −0.905462 | − | 1.09679i | ||||
\(131\) | −5.52132 | + | 15.1697i | −0.482400 | + | 1.32538i | 0.425030 | + | 0.905179i | \(0.360263\pi\) |
−0.907430 | + | 0.420203i | \(0.861959\pi\) | |||||||
\(132\) | 15.2608 | + | 4.22540i | 1.32828 | + | 0.367774i | ||||
\(133\) | −9.55338 | − | 1.68452i | −0.828383 | − | 0.146066i | ||||
\(134\) | −11.6287 | − | 0.0930620i | −1.00456 | − | 0.00803933i | ||||
\(135\) | 11.8241 | + | 0.760054i | 1.01766 | + | 0.0654151i | ||||
\(136\) | 0.123504 | − | 5.14331i | 0.0105904 | − | 0.441035i | ||||
\(137\) | 1.74704 | − | 9.90795i | 0.149260 | − | 0.846493i | −0.814588 | − | 0.580040i | \(-0.803037\pi\) |
0.963848 | − | 0.266454i | \(-0.0858519\pi\) | |||||||
\(138\) | 0.562926 | + | 2.10348i | 0.0479194 | + | 0.179061i | ||||
\(139\) | 2.76868 | − | 7.60688i | 0.234836 | − | 0.645207i | −0.765163 | − | 0.643837i | \(-0.777342\pi\) |
0.999999 | − | 0.00137051i | \(-0.000436247\pi\) | |||||||
\(140\) | −3.71750 | − | 4.57716i | −0.314186 | − | 0.386841i | ||||
\(141\) | −12.8218 | − | 5.85925i | −1.07979 | − | 0.493438i | ||||
\(142\) | 4.35158 | + | 12.2603i | 0.365176 | + | 1.02886i | ||||
\(143\) | −11.4934 | + | 19.9071i | −0.961126 | + | 1.66472i | ||||
\(144\) | −7.86523 | + | 9.06301i | −0.655435 | + | 0.755251i | ||||
\(145\) | 1.74289 | + | 3.01878i | 0.144739 | + | 0.250696i | ||||
\(146\) | 10.4984 | − | 12.3101i | 0.868852 | − | 1.01879i | ||||
\(147\) | 9.19952 | + | 0.733600i | 0.758764 | + | 0.0605063i | ||||
\(148\) | −18.6865 | + | 2.98740i | −1.53602 | + | 0.245563i | ||||
\(149\) | 15.8906 | − | 2.80194i | 1.30181 | − | 0.229544i | 0.520594 | − | 0.853805i | \(-0.325711\pi\) |
0.781216 | + | 0.624260i | \(0.214600\pi\) | |||||||
\(150\) | −0.443033 | + | 0.206422i | −0.0361735 | + | 0.0168543i | ||||
\(151\) | 7.90059 | + | 6.62938i | 0.642941 | + | 0.539491i | 0.904920 | − | 0.425582i | \(-0.139931\pi\) |
−0.261979 | + | 0.965074i | \(0.584375\pi\) | |||||||
\(152\) | −10.1661 | − | 18.6271i | −0.824581 | − | 1.51085i | ||||
\(153\) | −4.68327 | + | 2.80081i | −0.378620 | + | 0.226432i | ||||
\(154\) | −4.23708 | + | 7.20506i | −0.341434 | + | 0.580600i | ||||
\(155\) | −1.54888 | − | 4.25550i | −0.124409 | − | 0.341810i | ||||
\(156\) | −9.87262 | − | 14.3520i | −0.790442 | − | 1.14908i | ||||
\(157\) | −13.4195 | − | 15.9928i | −1.07099 | − | 1.27636i | −0.959230 | − | 0.282626i | \(-0.908795\pi\) |
−0.111763 | − | 0.993735i | \(-0.535650\pi\) | |||||||
\(158\) | 3.96826 | − | 10.6371i | 0.315698 | − | 0.846239i | ||||
\(159\) | −4.49860 | + | 4.56834i | −0.356762 | + | 0.362293i | ||||
\(160\) | 2.74626 | − | 12.6033i | 0.217111 | − | 0.996379i | ||||
\(161\) | −1.14941 | −0.0905862 | ||||||||
\(162\) | 12.5816 | + | 1.92430i | 0.988505 | + | 0.151187i | ||||
\(163\) | 7.57305i | 0.593167i | 0.955007 | + | 0.296584i | \(0.0958473\pi\) | ||||
−0.955007 | + | 0.296584i | \(0.904153\pi\) | |||||||
\(164\) | −1.87566 | + | 9.72461i | −0.146465 | + | 0.759365i | ||||
\(165\) | 12.8638 | + | 12.6674i | 1.00144 | + | 0.986155i | ||||
\(166\) | 17.9308 | + | 6.68927i | 1.39170 | + | 0.519188i | ||||
\(167\) | 8.24570 | − | 6.91897i | 0.638072 | − | 0.535406i | −0.265354 | − | 0.964151i | \(-0.585489\pi\) |
0.903425 | + | 0.428745i | \(0.141044\pi\) | |||||||
\(168\) | −3.54805 | − | 5.24732i | −0.273738 | − | 0.404840i | ||||
\(169\) | 11.5465 | − | 4.20257i | 0.888189 | − | 0.323274i | ||||
\(170\) | 2.97341 | − | 5.05622i | 0.228050 | − | 0.387794i | ||||
\(171\) | −10.9528 | + | 19.6632i | −0.837581 | + | 1.50369i | ||||
\(172\) | −4.42446 | + | 2.46090i | −0.337362 | + | 0.187642i | ||||
\(173\) | 1.94847 | − | 2.32210i | 0.148139 | − | 0.176546i | −0.686872 | − | 0.726779i | \(-0.741017\pi\) |
0.835011 | + | 0.550233i | \(0.185461\pi\) | |||||||
\(174\) | 1.58144 | + | 3.39416i | 0.119888 | + | 0.257311i | ||||
\(175\) | −0.0448006 | − | 0.254077i | −0.00338661 | − | 0.0192064i | ||||
\(176\) | −18.0992 | + | 2.59715i | −1.36428 | + | 0.195768i | ||||
\(177\) | 0.777663 | − | 9.75208i | 0.0584527 | − | 0.733011i | ||||
\(178\) | −6.71229 | + | 7.87061i | −0.503107 | + | 0.589927i | ||||
\(179\) | 6.05490 | − | 3.49580i | 0.452565 | − | 0.261288i | −0.256348 | − | 0.966585i | \(-0.582519\pi\) |
0.708913 | + | 0.705296i | \(0.249186\pi\) | |||||||
\(180\) | −12.8593 | + | 4.67135i | −0.958476 | + | 0.348182i | ||||
\(181\) | 6.40756 | + | 3.69941i | 0.476271 | + | 0.274975i | 0.718861 | − | 0.695154i | \(-0.244664\pi\) |
−0.242590 | + | 0.970129i | \(0.577997\pi\) | |||||||
\(182\) | 8.66551 | − | 3.07568i | 0.642331 | − | 0.227985i | ||||
\(183\) | −10.3069 | + | 22.5545i | −0.761908 | + | 1.66728i | ||||
\(184\) | −1.56950 | − | 1.96436i | −0.115705 | − | 0.144815i | ||||
\(185\) | −20.2744 | − | 7.37926i | −1.49060 | − | 0.542534i | ||||
\(186\) | −1.25762 | − | 4.69936i | −0.0922133 | − | 0.344574i | ||||
\(187\) | −8.18842 | − | 1.44384i | −0.598796 | − | 0.105584i | ||||
\(188\) | 16.2759 | + | 0.260522i | 1.18704 | + | 0.0190005i | ||||
\(189\) | −2.69812 | + | 6.15293i | −0.196259 | + | 0.447560i | ||||
\(190\) | 0.193616 | − | 24.1934i | 0.0140463 | − | 1.75518i | ||||
\(191\) | 4.49698 | − | 25.5037i | 0.325390 | − | 1.84538i | −0.181528 | − | 0.983386i | \(-0.558104\pi\) |
0.506918 | − | 0.861994i | \(-0.330785\pi\) | |||||||
\(192\) | 4.12295 | − | 13.2288i | 0.297548 | − | 0.954707i | ||||
\(193\) | −16.9847 | − | 6.18192i | −1.22258 | − | 0.444984i | −0.351532 | − | 0.936176i | \(-0.614339\pi\) |
−0.871051 | + | 0.491192i | \(0.836561\pi\) | |||||||
\(194\) | −2.51659 | − | 3.04837i | −0.180681 | − | 0.218860i | ||||
\(195\) | −1.88311 | − | 19.7713i | −0.134852 | − | 1.41585i | ||||
\(196\) | −10.0708 | + | 3.48397i | −0.719343 | + | 0.248855i | ||||
\(197\) | 3.88751 | + | 2.24446i | 0.276974 | + | 0.159911i | 0.632053 | − | 0.774926i | \(-0.282213\pi\) |
−0.355079 | + | 0.934836i | \(0.615546\pi\) | |||||||
\(198\) | 12.5754 | + | 14.7641i | 0.893693 | + | 1.04924i | ||||
\(199\) | −5.96011 | − | 10.3232i | −0.422501 | − | 0.731793i | 0.573683 | − | 0.819078i | \(-0.305514\pi\) |
−0.996183 | + | 0.0872848i | \(0.972181\pi\) | |||||||
\(200\) | 0.373047 | − | 0.423503i | 0.0263784 | − | 0.0299462i | ||||
\(201\) | −11.7293 | − | 8.07924i | −0.827324 | − | 0.569866i | ||||
\(202\) | −0.356420 | − | 2.12045i | −0.0250777 | − | 0.149195i | ||||
\(203\) | −1.94653 | + | 0.343225i | −0.136619 | + | 0.0240897i | ||||
\(204\) | 3.65693 | − | 5.13130i | 0.256036 | − | 0.359263i | ||||
\(205\) | −7.25811 | + | 8.64988i | −0.506929 | + | 0.604134i | ||||
\(206\) | −13.9310 | + | 7.89509i | −0.970617 | + | 0.550077i | ||||
\(207\) | −0.873472 | + | 2.51979i | −0.0607105 | + | 0.175138i | ||||
\(208\) | 17.0890 | + | 10.6097i | 1.18491 | + | 0.735651i | ||||
\(209\) | −32.2274 | + | 11.7298i | −2.22922 | + | 0.811369i | ||||
\(210\) | −0.627189 | − | 7.19458i | −0.0432802 | − | 0.496473i | ||||
\(211\) | 11.4128 | + | 13.6012i | 0.785686 | + | 0.936344i | 0.999175 | − | 0.0406011i | \(-0.0129273\pi\) |
−0.213489 | + | 0.976945i | \(0.568483\pi\) | |||||||
\(212\) | 2.64311 | − | 6.91546i | 0.181530 | − | 0.474955i | ||||
\(213\) | −4.00538 | + | 15.4218i | −0.274444 | + | 1.05668i | ||||
\(214\) | −2.27888 | + | 12.3456i | −0.155781 | + | 0.843928i | ||||
\(215\) | −5.77222 | −0.393662 | ||||||||
\(216\) | −14.1997 | + | 3.79060i | −0.966167 | + | 0.257918i | ||||
\(217\) | 2.56788 | 0.174319 | ||||||||
\(218\) | −0.974373 | + | 5.27857i | −0.0659929 | + | 0.357510i | ||||
\(219\) | 19.0997 | − | 5.27554i | 1.29064 | − | 0.356488i | ||||
\(220\) | −19.4729 | − | 7.44261i | −1.31286 | − | 0.501781i | ||||
\(221\) | 5.87954 | + | 7.00696i | 0.395501 | + | 0.471339i | ||||
\(222\) | −21.0023 | − | 9.80150i | −1.40958 | − | 0.657834i | ||||
\(223\) | −11.2910 | + | 4.10960i | −0.756104 | + | 0.275199i | −0.691172 | − | 0.722690i | \(-0.742905\pi\) |
−0.0649319 | + | 0.997890i | \(0.520683\pi\) | |||||||
\(224\) | 6.18291 | + | 3.90756i | 0.413113 | + | 0.261085i | ||||
\(225\) | −0.591044 | − | 0.0948668i | −0.0394030 | − | 0.00632446i | ||||
\(226\) | −5.79061 | + | 3.28171i | −0.385186 | + | 0.218296i | ||||
\(227\) | −6.05029 | + | 7.21045i | −0.401572 | + | 0.478575i | −0.928499 | − | 0.371336i | \(-0.878900\pi\) |
0.526927 | + | 0.849911i | \(0.323344\pi\) | |||||||
\(228\) | 2.48034 | − | 25.8713i | 0.164264 | − | 1.71337i | ||||
\(229\) | 16.1662 | − | 2.85054i | 1.06829 | − | 0.188369i | 0.388259 | − | 0.921550i | \(-0.373077\pi\) |
0.680033 | + | 0.733182i | \(0.261965\pi\) | |||||||
\(230\) | −0.475188 | − | 2.82703i | −0.0313329 | − | 0.186409i | ||||
\(231\) | −9.24442 | + | 4.39762i | −0.608239 | + | 0.289342i | ||||
\(232\) | −3.24453 | − | 2.85798i | −0.213014 | − | 0.187635i | ||||
\(233\) | 4.13470 | + | 7.16150i | 0.270873 | + | 0.469166i | 0.969086 | − | 0.246725i | \(-0.0793544\pi\) |
−0.698213 | + | 0.715890i | \(0.746021\pi\) | |||||||
\(234\) | −0.157461 | − | 21.3342i | −0.0102936 | − | 1.39466i | ||||
\(235\) | 16.0725 | + | 9.27945i | 1.04845 | + | 0.605324i | ||||
\(236\) | 3.69324 | + | 10.6757i | 0.240409 | + | 0.694928i | ||||
\(237\) | 11.3284 | − | 8.06279i | 0.735859 | − | 0.523735i | ||||
\(238\) | 2.11749 | + | 2.56493i | 0.137256 | + | 0.166260i | ||||
\(239\) | 14.8870 | + | 5.41844i | 0.962963 | + | 0.350490i | 0.775194 | − | 0.631724i | \(-0.217652\pi\) |
0.187769 | + | 0.982213i | \(0.439874\pi\) | |||||||
\(240\) | 11.4392 | − | 10.8960i | 0.738399 | − | 0.703331i | ||||
\(241\) | 3.79086 | − | 21.4990i | 0.244191 | − | 1.38488i | −0.578174 | − | 0.815914i | \(-0.696234\pi\) |
0.822364 | − | 0.568961i | \(-0.192655\pi\) | |||||||
\(242\) | −0.111990 | + | 13.9938i | −0.00719897 | + | 0.899555i | ||||
\(243\) | 11.4384 | + | 10.5907i | 0.733771 | + | 0.679397i | ||||
\(244\) | 0.458279 | − | 28.6306i | 0.0293383 | − | 1.83288i | ||||
\(245\) | −11.9651 | − | 2.10976i | −0.764419 | − | 0.134788i | ||||
\(246\) | −8.57965 | + | 8.57431i | −0.547019 | + | 0.546678i | ||||
\(247\) | 35.4530 | + | 12.9038i | 2.25582 | + | 0.821051i | ||||
\(248\) | 3.50639 | + | 4.38854i | 0.222656 | + | 0.278673i | ||||
\(249\) | 13.5914 | + | 19.0962i | 0.861320 | + | 1.21017i | ||||
\(250\) | −14.5887 | + | 5.17801i | −0.922668 | + | 0.327486i | ||||
\(251\) | 3.84480 | + | 2.21980i | 0.242682 | + | 0.140112i | 0.616409 | − | 0.787426i | \(-0.288587\pi\) |
−0.373727 | + | 0.927539i | \(0.621920\pi\) | |||||||
\(252\) | 0.00482610 | − | 7.75787i | 0.000304015 | − | 0.488700i | ||||
\(253\) | −3.51917 | + | 2.03179i | −0.221248 | + | 0.127738i | ||||
\(254\) | −4.14700 | + | 4.86263i | −0.260206 | + | 0.305109i | ||||
\(255\) | 6.48736 | − | 3.08608i | 0.406255 | − | 0.193258i | ||||
\(256\) | 1.76459 | + | 15.9024i | 0.110287 | + | 0.993900i | ||||
\(257\) | −3.91461 | − | 22.2008i | −0.244187 | − | 1.38485i | −0.822374 | − | 0.568947i | \(-0.807351\pi\) |
0.578188 | − | 0.815904i | \(-0.303760\pi\) | |||||||
\(258\) | −6.17687 | − | 0.542342i | −0.384555 | − | 0.0337648i | ||||
\(259\) | 7.86390 | − | 9.37183i | 0.488639 | − | 0.582337i | ||||
\(260\) | 11.1473 | + | 20.0417i | 0.691325 | + | 1.24294i | ||||
\(261\) | −0.726792 | + | 4.52810i | −0.0449873 | + | 0.280282i | ||||
\(262\) | 11.5729 | − | 19.6794i | 0.714974 | − | 1.21580i | ||||
\(263\) | −21.0056 | + | 7.64543i | −1.29526 | + | 0.471437i | −0.895451 | − | 0.445160i | \(-0.853147\pi\) |
−0.399812 | + | 0.916597i | \(0.630925\pi\) | |||||||
\(264\) | −20.1387 | − | 9.79398i | −1.23945 | − | 0.602778i | ||||
\(265\) | 6.46598 | − | 5.42560i | 0.397202 | − | 0.333292i | ||||
\(266\) | 12.8536 | + | 4.79517i | 0.788106 | + | 0.294011i | ||||
\(267\) | −12.2117 | + | 3.37299i | −0.747342 | + | 0.206424i | ||||
\(268\) | 16.1483 | + | 3.11465i | 0.986415 | + | 0.190258i | ||||
\(269\) | − | 12.5171i | − | 0.763184i | −0.924331 | − | 0.381592i | \(-0.875376\pi\) | ||
0.924331 | − | 0.381592i | \(-0.124624\pi\) | |||||||
\(270\) | −16.2489 | − | 4.09243i | −0.988877 | − | 0.249057i | ||||
\(271\) | 9.28509 | 0.564029 | 0.282015 | − | 0.959410i | \(-0.408997\pi\) | ||||
0.282015 | + | 0.959410i | \(0.408997\pi\) | |||||||
\(272\) | −1.49211 | + | 7.12119i | −0.0904727 | + | 0.431786i | ||||
\(273\) | 10.9001 | + | 2.83099i | 0.659703 | + | 0.171340i | ||||
\(274\) | −4.97314 | + | 13.3307i | −0.300438 | + | 0.805336i | ||||
\(275\) | −0.586294 | − | 0.698718i | −0.0353548 | − | 0.0421343i | ||||
\(276\) | −0.242879 | − | 3.06987i | −0.0146196 | − | 0.184784i | ||||
\(277\) | 3.85712 | + | 10.5974i | 0.231752 | + | 0.636734i | 0.999994 | − | 0.00342581i | \(-0.00109047\pi\) |
−0.768242 | + | 0.640160i | \(0.778868\pi\) | |||||||
\(278\) | −5.80324 | + | 9.86828i | −0.348055 | + | 0.591860i | ||||
\(279\) | 1.95141 | − | 5.62942i | 0.116828 | − | 0.337024i | ||||
\(280\) | 3.99498 | + | 7.31988i | 0.238746 | + | 0.437446i | ||||
\(281\) | 12.0912 | + | 10.1457i | 0.721299 | + | 0.605241i | 0.927744 | − | 0.373217i | \(-0.121745\pi\) |
−0.206446 | + | 0.978458i | \(0.566190\pi\) | |||||||
\(282\) | 16.3273 | + | 11.4401i | 0.972279 | + | 0.681248i | ||||
\(283\) | −11.1062 | + | 1.95832i | −0.660194 | + | 0.116410i | −0.493700 | − | 0.869632i | \(-0.664356\pi\) |
−0.166494 | + | 0.986042i | \(0.553245\pi\) | |||||||
\(284\) | −2.90445 | − | 18.1677i | −0.172347 | − | 1.07805i | ||||
\(285\) | 16.8089 | − | 24.4029i | 0.995672 | − | 1.44550i | ||||
\(286\) | 21.0945 | − | 24.7347i | 1.24734 | − | 1.46260i | ||||
\(287\) | −3.20137 | − | 5.54493i | −0.188971 | − | 0.327307i | ||||
\(288\) | 13.2649 | − | 10.5850i | 0.781642 | − | 0.623727i | ||||
\(289\) | 6.84569 | − | 11.8571i | 0.402688 | − | 0.697476i | ||||
\(290\) | −1.64891 | − | 4.64569i | −0.0968274 | − | 0.272804i | ||||
\(291\) | −0.459035 | − | 4.81955i | −0.0269091 | − | 0.282527i | ||||
\(292\) | −17.7605 | + | 14.4248i | −1.03935 | + | 0.844145i | ||||
\(293\) | −11.3855 | + | 31.2814i | −0.665148 | + | 1.82748i | −0.113252 | + | 0.993566i | \(0.536127\pi\) |
−0.551896 | + | 0.833913i | \(0.686095\pi\) | |||||||
\(294\) | −12.6056 | − | 3.38187i | −0.735175 | − | 0.197235i | ||||
\(295\) | −2.23648 | + | 12.6837i | −0.130213 | + | 0.738475i | ||||
\(296\) | 26.7546 | + | 0.642446i | 1.55508 | + | 0.0373414i | ||||
\(297\) | 2.61555 | + | 23.6079i | 0.151770 | + | 1.36987i | ||||
\(298\) | −22.8187 | − | 0.182614i | −1.32185 | − | 0.0105785i | ||||
\(299\) | 4.40239 | + | 0.776259i | 0.254597 | + | 0.0448922i | ||||
\(300\) | 0.669126 | − | 0.173343i | 0.0386320 | − | 0.0100079i | ||||
\(301\) | 1.11945 | − | 3.07566i | 0.0645239 | − | 0.177278i | ||||
\(302\) | −9.28564 | − | 11.2478i | −0.534329 | − | 0.647237i | ||||
\(303\) | 1.09455 | − | 2.39520i | 0.0628803 | − | 0.137601i | ||||
\(304\) | 9.35639 | + | 28.5148i | 0.536626 | + | 1.63543i | ||||
\(305\) | 16.3233 | − | 28.2728i | 0.934669 | − | 1.61889i | ||||
\(306\) | 7.23211 | − | 2.69288i | 0.413432 | − | 0.153942i | ||||
\(307\) | −9.81977 | + | 5.66945i | −0.560444 | + | 0.323573i | −0.753324 | − | 0.657650i | \(-0.771551\pi\) |
0.192880 | + | 0.981222i | \(0.438217\pi\) | |||||||
\(308\) | 7.74222 | − | 8.93249i | 0.441154 | − | 0.508976i | ||||
\(309\) | −19.5493 | − | 1.55893i | −1.11212 | − | 0.0886843i | ||||
\(310\) | 1.06161 | + | 6.31583i | 0.0602953 | + | 0.358715i | ||||
\(311\) | −0.869735 | − | 4.93251i | −0.0493181 | − | 0.279697i | 0.950168 | − | 0.311737i | \(-0.100911\pi\) |
−0.999487 | + | 0.0320399i | \(0.989800\pi\) | |||||||
\(312\) | 10.0457 | + | 22.4941i | 0.568724 | + | 1.27348i | ||||
\(313\) | −4.75687 | − | 3.99148i | −0.268874 | − | 0.225612i | 0.498375 | − | 0.866962i | \(-0.333930\pi\) |
−0.767249 | + | 0.641350i | \(0.778375\pi\) | |||||||
\(314\) | 14.5572 | + | 25.6864i | 0.821511 | + | 1.44957i | ||||
\(315\) | 4.30412 | − | 7.72707i | 0.242510 | − | 0.435371i | ||||
\(316\) | −8.24941 | + | 13.7745i | −0.464065 | + | 0.774874i | ||||
\(317\) | −5.47491 | − | 15.0422i | −0.307501 | − | 0.844853i | −0.993142 | − | 0.116913i | \(-0.962700\pi\) |
0.685641 | − | 0.727940i | \(-0.259522\pi\) | |||||||
\(318\) | 7.42904 | − | 5.19843i | 0.416600 | − | 0.291513i | ||||
\(319\) | −5.35300 | + | 4.49170i | −0.299711 | + | 0.251487i | ||||
\(320\) | −7.05470 | + | 16.8226i | −0.394370 | + | 0.940415i | ||||
\(321\) | −10.7883 | + | 10.9555i | −0.602143 | + | 0.611478i | ||||
\(322\) | 1.59851 | + | 0.295069i | 0.0890813 | + | 0.0164435i | ||||
\(323\) | 13.6470i | 0.759339i | ||||||||
\(324\) | −17.0035 | − | 5.90602i | −0.944639 | − | 0.328112i | ||||
\(325\) | 1.00340i | 0.0556587i | ||||||||
\(326\) | 1.94410 | − | 10.5320i | 0.107674 | − | 0.583313i | ||||
\(327\) | −4.61272 | + | 4.68423i | −0.255084 | + | 0.259038i | ||||
\(328\) | 5.10496 | − | 13.0427i | 0.281874 | − | 0.720162i | ||||
\(329\) | −8.06148 | + | 6.76439i | −0.444444 | + | 0.372933i | ||||
\(330\) | −14.6380 | − | 20.9191i | −0.805795 | − | 1.15156i | ||||
\(331\) | −0.933712 | − | 2.56535i | −0.0513214 | − | 0.141005i | 0.911383 | − | 0.411558i | \(-0.135015\pi\) |
−0.962705 | + | 0.270554i | \(0.912793\pi\) | |||||||
\(332\) | −23.2195 | − | 13.9060i | −1.27434 | − | 0.763189i | ||||
\(333\) | −14.5693 | − | 24.3615i | −0.798395 | − | 1.33500i | ||||
\(334\) | −13.2436 | + | 7.50555i | −0.724660 | + | 0.410686i | ||||
\(335\) | 14.3636 | + | 12.0525i | 0.784770 | + | 0.658500i | ||||
\(336\) | 3.58728 | + | 8.20838i | 0.195702 | + | 0.447804i | ||||
\(337\) | 3.64020 | + | 20.6446i | 0.198294 | + | 1.12458i | 0.907649 | + | 0.419730i | \(0.137875\pi\) |
−0.709355 | + | 0.704852i | \(0.751014\pi\) | |||||||
\(338\) | −17.1367 | + | 2.88046i | −0.932115 | + | 0.156676i | ||||
\(339\) | −8.12597 | − | 0.647991i | −0.441342 | − | 0.0351940i | ||||
\(340\) | −5.43318 | + | 6.26846i | −0.294655 | + | 0.339955i | ||||
\(341\) | 7.86211 | − | 4.53919i | 0.425757 | − | 0.245811i | ||||
\(342\) | 20.2801 | − | 24.5343i | 1.09662 | − | 1.32666i | ||||
\(343\) | 7.97005 | − | 13.8045i | 0.430342 | − | 0.745375i | ||||
\(344\) | 6.78493 | − | 2.28660i | 0.365819 | − | 0.123285i | ||||
\(345\) | 1.45928 | − | 3.19334i | 0.0785650 | − | 0.171923i | ||||
\(346\) | −3.30589 | + | 2.72919i | −0.177726 | + | 0.146722i | ||||
\(347\) | 8.56303 | − | 23.5267i | 0.459687 | − | 1.26298i | −0.466031 | − | 0.884768i | \(-0.654317\pi\) |
0.925719 | − | 0.378212i | \(-0.123461\pi\) | |||||||
\(348\) | −1.32801 | − | 5.12630i | −0.0711888 | − | 0.274798i | ||||
\(349\) | −1.68825 | − | 0.297684i | −0.0903700 | − | 0.0159347i | 0.128280 | − | 0.991738i | \(-0.459054\pi\) |
−0.218650 | + | 0.975803i | \(0.570165\pi\) | |||||||
\(350\) | −0.00291983 | + | 0.364850i | −0.000156071 | + | 0.0195021i | ||||
\(351\) | 14.4895 | − | 21.7443i | 0.773395 | − | 1.16063i | ||||
\(352\) | 25.8376 | + | 1.03440i | 1.37715 | + | 0.0551336i | ||||
\(353\) | −4.10027 | + | 23.2538i | −0.218235 | + | 1.23767i | 0.656967 | + | 0.753919i | \(0.271839\pi\) |
−0.875203 | + | 0.483756i | \(0.839272\pi\) | |||||||
\(354\) | −3.58500 | + | 13.3628i | −0.190540 | + | 0.710223i | ||||
\(355\) | 7.17436 | − | 19.7114i | 0.380776 | − | 1.04617i | ||||
\(356\) | 11.3554 | − | 9.22267i | 0.601835 | − | 0.488801i | ||||
\(357\) | 0.386237 | + | 4.05522i | 0.0204418 | + | 0.214625i | ||||
\(358\) | −9.31808 | + | 3.30730i | −0.492476 | + | 0.174796i | ||||
\(359\) | 0.0166089 | − | 0.0287675i | 0.000876586 | − | 0.00151829i | −0.865587 | − | 0.500759i | \(-0.833054\pi\) |
0.866463 | + | 0.499241i | \(0.166388\pi\) | |||||||
\(360\) | 19.0829 | − | 3.19538i | 1.00576 | − | 0.168411i | ||||
\(361\) | 18.6448 | + | 32.2938i | 0.981306 | + | 1.69967i | ||||
\(362\) | −7.96143 | − | 6.78974i | −0.418444 | − | 0.356861i | ||||
\(363\) | −9.72246 | + | 14.1149i | −0.510297 | + | 0.740843i | ||||
\(364\) | −12.8409 | + | 2.05286i | −0.673044 | + | 0.107599i | ||||
\(365\) | −25.6901 | + | 4.52985i | −1.34468 | + | 0.237103i | ||||
\(366\) | 20.1240 | − | 28.7211i | 1.05190 | − | 1.50128i | ||||
\(367\) | −19.6835 | − | 16.5164i | −1.02747 | − | 0.862150i | −0.0369225 | − | 0.999318i | \(-0.511755\pi\) |
−0.990548 | + | 0.137168i | \(0.956200\pi\) | |||||||
\(368\) | 1.67846 | + | 3.13478i | 0.0874956 | + | 0.163412i | ||||
\(369\) | −14.5887 | + | 2.80442i | −0.759456 | + | 0.145992i | ||||
\(370\) | 26.3016 | + | 15.4672i | 1.36735 | + | 0.804100i | ||||
\(371\) | 1.63697 | + | 4.49754i | 0.0849874 | + | 0.233501i | ||||
\(372\) | 0.542612 | + | 6.85833i | 0.0281331 | + | 0.355588i | ||||
\(373\) | 4.20427 | + | 5.01046i | 0.217689 | + | 0.259432i | 0.863827 | − | 0.503789i | \(-0.168061\pi\) |
−0.646138 | + | 0.763221i | \(0.723617\pi\) | |||||||
\(374\) | 11.0171 | + | 4.11005i | 0.569682 | + | 0.212526i | ||||
\(375\) | −18.3506 | − | 4.76607i | −0.947623 | − | 0.246119i | ||||
\(376\) | −22.5683 | − | 4.54054i | −1.16387 | − | 0.234161i | ||||
\(377\) | 7.68724 | 0.395913 | ||||||||
\(378\) | 5.33186 | − | 7.86436i | 0.274242 | − | 0.404499i | ||||
\(379\) | − | 22.9600i | − | 1.17938i | −0.807631 | − | 0.589688i | \(-0.799251\pi\) | ||
0.807631 | − | 0.589688i | \(-0.200749\pi\) | |||||||
\(380\) | −6.48004 | + | 33.5966i | −0.332419 | + | 1.72347i | ||||
\(381\) | −7.54463 | + | 2.08390i | −0.386523 | + | 0.106762i | ||||
\(382\) | −12.8012 | + | 34.3140i | −0.654965 | + | 1.75566i | ||||
\(383\) | −9.59765 | + | 8.05339i | −0.490417 | + | 0.411509i | −0.854176 | − | 0.519984i | \(-0.825938\pi\) |
0.363759 | + | 0.931493i | \(0.381493\pi\) | |||||||
\(384\) | −9.12987 | + | 17.3391i | −0.465907 | + | 0.884834i | ||||
\(385\) | 12.6644 | − | 4.60947i | 0.645438 | − | 0.234920i | ||||
\(386\) | 22.0339 | + | 12.9575i | 1.12150 | + | 0.659519i | ||||
\(387\) | −5.89189 | − | 4.79139i | −0.299502 | − | 0.243560i | ||||
\(388\) | 2.71732 | + | 4.88547i | 0.137951 | + | 0.248022i | ||||
\(389\) | −16.8629 | + | 20.0964i | −0.854983 | + | 1.01893i | 0.144584 | + | 0.989493i | \(0.453816\pi\) |
−0.999567 | + | 0.0294361i | \(0.990629\pi\) | |||||||
\(390\) | −2.45668 | + | 27.9797i | −0.124399 | + | 1.41681i | ||||
\(391\) | 0.280787 | + | 1.59242i | 0.0142000 | + | 0.0805323i | ||||
\(392\) | 14.9000 | − | 2.25992i | 0.752565 | − | 0.114143i | ||||
\(393\) | 25.2496 | − | 12.0114i | 1.27367 | − | 0.605893i | ||||
\(394\) | −4.83025 | − | 4.11938i | −0.243345 | − | 0.207531i | ||||
\(395\) | −15.8531 | + | 9.15280i | −0.797657 | + | 0.460527i | ||||
\(396\) | −13.6987 | − | 23.7609i | −0.688384 | − | 1.19403i | ||||
\(397\) | 23.2006 | + | 13.3949i | 1.16440 | + | 0.672269i | 0.952356 | − | 0.304990i | \(-0.0986531\pi\) |
0.212049 | + | 0.977259i | \(0.431986\pi\) | |||||||
\(398\) | 5.63873 | + | 15.8867i | 0.282644 | + | 0.796329i | ||||
\(399\) | 9.74292 | + | 13.6890i | 0.487756 | + | 0.685308i | ||||
\(400\) | −0.627522 | + | 0.493207i | −0.0313761 | + | 0.0246603i | ||||
\(401\) | −16.3873 | − | 5.96448i | −0.818342 | − | 0.297852i | −0.101277 | − | 0.994858i | \(-0.532293\pi\) |
−0.717065 | + | 0.697006i | \(0.754515\pi\) | |||||||
\(402\) | 14.2382 | + | 14.2470i | 0.710135 | + | 0.710577i | ||||
\(403\) | −9.83529 | − | 1.73423i | −0.489931 | − | 0.0863880i | ||||
\(404\) | −0.0486674 | + | 3.04045i | −0.00242130 | + | 0.151268i | ||||
\(405\) | −13.6688 | − | 15.3077i | −0.679208 | − | 0.760647i | ||||
\(406\) | 2.79518 | + | 0.0223693i | 0.138723 | + | 0.00111017i | ||||
\(407\) | 7.51060 | − | 42.5948i | 0.372287 | − | 2.11134i | ||||
\(408\) | −6.40303 | + | 6.19742i | −0.316997 | + | 0.306818i | ||||
\(409\) | −12.2946 | − | 4.47486i | −0.607928 | − | 0.221268i | 0.0196684 | − | 0.999807i | \(-0.493739\pi\) |
−0.627596 | + | 0.778539i | \(0.715961\pi\) | |||||||
\(410\) | 12.3145 | − | 10.1663i | 0.608171 | − | 0.502078i | ||||
\(411\) | −14.1971 | + | 10.1045i | −0.700291 | + | 0.498420i | ||||
\(412\) | 21.4008 | − | 7.40358i | 1.05434 | − | 0.364748i | ||||
\(413\) | −6.32463 | − | 3.65153i | −0.311215 | − | 0.179680i | ||||
\(414\) | 1.86162 | − | 3.28009i | 0.0914935 | − | 0.161208i | ||||
\(415\) | −15.4288 | − | 26.7235i | −0.757371 | − | 1.31180i | ||||
\(416\) | −21.0423 | − | 19.1421i | −1.03169 | − | 0.938518i | ||||
\(417\) | −12.6615 | + | 6.02313i | −0.620035 | + | 0.294954i | ||||
\(418\) | 47.8305 | − | 8.03968i | 2.33947 | − | 0.393234i | ||||
\(419\) | 7.40741 | − | 1.30613i | 0.361876 | − | 0.0638084i | 0.0102456 | − | 0.999948i | \(-0.496739\pi\) |
0.351630 | + | 0.936139i | \(0.385628\pi\) | |||||||
\(420\) | −0.974699 | + | 10.1666i | −0.0475604 | + | 0.496081i | ||||
\(421\) | 14.2717 | − | 17.0084i | 0.695561 | − | 0.828938i | −0.296455 | − | 0.955047i | \(-0.595805\pi\) |
0.992016 | + | 0.126109i | \(0.0402490\pi\) | |||||||
\(422\) | −12.3803 | − | 21.8452i | −0.602665 | − | 1.06341i | ||||
\(423\) | 8.70304 | + | 22.8132i | 0.423156 | + | 1.10922i | ||||
\(424\) | −5.45111 | + | 8.93893i | −0.264729 | + | 0.434113i | ||||
\(425\) | −0.341060 | + | 0.124136i | −0.0165438 | + | 0.00602147i | ||||
\(426\) | 9.52934 | − | 20.4191i | 0.461698 | − | 0.989311i | ||||
\(427\) | 11.8991 | + | 14.1808i | 0.575838 | + | 0.686257i | ||||
\(428\) | 6.33856 | − | 16.5842i | 0.306386 | − | 0.801630i | ||||
\(429\) | 38.3773 | − | 10.6002i | 1.85287 | − | 0.511782i | ||||
\(430\) | 8.02753 | + | 1.48180i | 0.387122 | + | 0.0714590i | ||||
\(431\) | −14.5079 | −0.698819 | −0.349409 | − | 0.936970i | \(-0.613618\pi\) | ||||
−0.349409 | + | 0.936970i | \(0.613618\pi\) | |||||||
\(432\) | 20.7209 | − | 1.62641i | 0.996934 | − | 0.0782506i | ||||
\(433\) | 23.2737 | 1.11846 | 0.559232 | − | 0.829011i | \(-0.311096\pi\) | ||||
0.559232 | + | 0.829011i | \(0.311096\pi\) | |||||||
\(434\) | −3.57119 | − | 0.659208i | −0.171423 | − | 0.0316430i | ||||
\(435\) | 1.51773 | − | 5.84367i | 0.0727697 | − | 0.280183i | ||||
\(436\) | 2.71016 | − | 7.09088i | 0.129793 | − | 0.339591i | ||||
\(437\) | 4.28712 | + | 5.10919i | 0.205081 | + | 0.244406i | ||||
\(438\) | −27.9166 | + | 2.43364i | −1.33391 | + | 0.116284i | ||||
\(439\) | −2.54109 | + | 0.924881i | −0.121280 | + | 0.0441421i | −0.401947 | − | 0.915663i | \(-0.631666\pi\) |
0.280667 | + | 0.959805i | \(0.409444\pi\) | |||||||
\(440\) | 25.1707 | + | 15.3495i | 1.19997 | + | 0.731760i | ||||
\(441\) | −10.4619 | − | 12.0854i | −0.498184 | − | 0.575497i | ||||
\(442\) | −6.37801 | − | 11.2541i | −0.303371 | − | 0.535301i | ||||
\(443\) | 9.93953 | − | 11.8455i | 0.472241 | − | 0.562795i | −0.476368 | − | 0.879246i | \(-0.658047\pi\) |
0.948609 | + | 0.316451i | \(0.102491\pi\) | |||||||
\(444\) | 26.6922 | + | 19.0227i | 1.26675 | + | 0.902777i | ||||
\(445\) | 16.4253 | − | 2.89622i | 0.778634 | − | 0.137294i | ||||
\(446\) | 16.7576 | − | 2.81674i | 0.793497 | − | 0.133377i | ||||
\(447\) | −23.0162 | − | 15.8537i | −1.08863 | − | 0.749855i | ||||
\(448\) | −7.59557 | − | 7.02155i | −0.358857 | − | 0.331737i | ||||
\(449\) | 12.9786 | + | 22.4796i | 0.612498 | + | 1.06088i | 0.990818 | + | 0.135203i | \(0.0431687\pi\) |
−0.378320 | + | 0.925675i | \(0.623498\pi\) | |||||||
\(450\) | 0.797623 | + | 0.283662i | 0.0376003 | + | 0.0133720i | ||||
\(451\) | −19.6033 | − | 11.3180i | −0.923085 | − | 0.532944i | ||||
\(452\) | 8.89557 | − | 3.07741i | 0.418413 | − | 0.144749i | ||||
\(453\) | −1.69373 | − | 17.7830i | −0.0795785 | − | 0.835518i | ||||
\(454\) | 10.2653 | − | 8.47452i | 0.481773 | − | 0.397729i | ||||
\(455\) | −13.9320 | − | 5.07082i | −0.653140 | − | 0.237724i | ||||
\(456\) | −10.0910 | + | 35.3429i | −0.472552 | + | 1.65509i | ||||
\(457\) | 1.67588 | − | 9.50439i | 0.0783944 | − | 0.444597i | −0.920193 | − | 0.391465i | \(-0.871969\pi\) |
0.998588 | − | 0.0531319i | \(-0.0169204\pi\) | |||||||
\(458\) | −23.2144 | − | 0.185780i | −1.08474 | − | 0.00868095i | ||||
\(459\) | 9.18355 | + | 2.23496i | 0.428651 | + | 0.104319i | ||||
\(460\) | −0.0648845 | + | 4.05360i | −0.00302526 | + | 0.189000i | ||||
\(461\) | −8.54169 | − | 1.50613i | −0.397826 | − | 0.0701475i | −0.0288440 | − | 0.999584i | \(-0.509183\pi\) |
−0.368982 | + | 0.929436i | \(0.620294\pi\) | |||||||
\(462\) | 13.9853 | − | 3.74269i | 0.650656 | − | 0.174126i | ||||
\(463\) | −18.1001 | − | 6.58791i | −0.841184 | − | 0.306166i | −0.114743 | − | 0.993395i | \(-0.536605\pi\) |
−0.726441 | + | 0.687229i | \(0.758827\pi\) | |||||||
\(464\) | 3.77855 | + | 4.80756i | 0.175415 | + | 0.223185i | ||||
\(465\) | −3.26015 | + | 7.13417i | −0.151186 | + | 0.330839i | ||||
\(466\) | −3.91175 | − | 11.0211i | −0.181208 | − | 0.510541i | ||||
\(467\) | −13.0762 | − | 7.54953i | −0.605093 | − | 0.349350i | 0.165950 | − | 0.986134i | \(-0.446931\pi\) |
−0.771042 | + | 0.636784i | \(0.780264\pi\) | |||||||
\(468\) | −5.25780 | + | 29.7104i | −0.243042 | + | 1.37336i | ||||
\(469\) | −9.20769 | + | 5.31606i | −0.425171 | + | 0.245473i | ||||
\(470\) | −19.9701 | − | 17.0311i | −0.921153 | − | 0.785587i | ||||
\(471\) | −2.87440 | + | 36.0457i | −0.132445 | + | 1.66090i | ||||
\(472\) | −2.39566 | − | 15.7950i | −0.110269 | − | 0.727023i | ||||
\(473\) | −2.00935 | − | 11.3956i | −0.0923902 | − | 0.523971i | ||||
\(474\) | −17.8244 | + | 8.30492i | −0.818704 | + | 0.381458i | ||||
\(475\) | −0.962285 | + | 1.14681i | −0.0441527 | + | 0.0526191i | ||||
\(476\) | −2.28638 | − | 4.11069i | −0.104796 | − | 0.188413i | ||||
\(477\) | 11.1037 | − | 0.170824i | 0.508404 | − | 0.00782149i | ||||
\(478\) | −19.3127 | − | 11.3572i | −0.883342 | − | 0.519467i | ||||
\(479\) | −27.5254 | + | 10.0184i | −1.25767 | + | 0.457754i | −0.882986 | − | 0.469400i | \(-0.844470\pi\) |
−0.374682 | + | 0.927153i | \(0.622248\pi\) | |||||||
\(480\) | −18.7059 | + | 12.2166i | −0.853803 | + | 0.557609i | ||||
\(481\) | −36.4490 | + | 30.5844i | −1.66193 | + | 1.39453i | ||||
\(482\) | −10.7911 | + | 28.9260i | −0.491521 | + | 1.31754i | ||||
\(483\) | 1.41852 | + | 1.39687i | 0.0645449 | + | 0.0635596i | ||||
\(484\) | 3.74814 | − | 19.4327i | 0.170370 | − | 0.883303i | ||||
\(485\) | 6.37366i | 0.289413i | ||||||||
\(486\) | −13.1888 | − | 17.6651i | −0.598254 | − | 0.801306i | ||||
\(487\) | 20.4526 | 0.926797 | 0.463398 | − | 0.886150i | \(-0.346630\pi\) | ||||
0.463398 | + | 0.886150i | \(0.346630\pi\) | |||||||
\(488\) | −7.98718 | + | 39.6994i | −0.361563 | + | 1.79711i | ||||
\(489\) | 9.20344 | − | 9.34612i | 0.416194 | − | 0.422646i | ||||
\(490\) | 16.0984 | + | 6.00567i | 0.727253 | + | 0.271309i | ||||
\(491\) | 2.04697 | + | 2.43948i | 0.0923784 | + | 0.110092i | 0.810253 | − | 0.586080i | \(-0.199330\pi\) |
−0.717875 | + | 0.696172i | \(0.754885\pi\) | |||||||
\(492\) | 14.1330 | − | 9.72195i | 0.637166 | − | 0.438299i | ||||
\(493\) | 0.951026 | + | 2.61292i | 0.0428321 | + | 0.117680i | ||||
\(494\) | −45.9925 | − | 27.0468i | −2.06930 | − | 1.21690i | ||||
\(495\) | −0.481015 | − | 31.2664i | −0.0216200 | − | 1.40532i | ||||
\(496\) | −3.74981 | − | 7.00336i | −0.168371 | − | 0.314460i | ||||
\(497\) | 9.11160 | + | 7.64554i | 0.408711 | + | 0.342949i | ||||
\(498\) | −13.9996 | − | 30.0465i | −0.627335 | − | 1.34642i | ||||
\(499\) | −36.7668 | + | 6.48298i | −1.64591 | + | 0.290218i | −0.918332 | − | 0.395810i | \(-0.870464\pi\) |
−0.727575 | + | 0.686028i | \(0.759353\pi\) | |||||||
\(500\) | 21.6180 | − | 3.45605i | 0.966786 | − | 0.154559i | ||||
\(501\) | −18.5848 | − | 1.48201i | −0.830308 | − | 0.0662114i | ||||
\(502\) | −4.77719 | − | 4.07412i | −0.213216 | − | 0.181837i | ||||
\(503\) | −0.252106 | − | 0.436661i | −0.0112409 | − | 0.0194697i | 0.860350 | − | 0.509703i | \(-0.170245\pi\) |
−0.871591 | + | 0.490234i | \(0.836911\pi\) | |||||||
\(504\) | −1.99826 | + | 10.7878i | −0.0890095 | + | 0.480526i | ||||
\(505\) | −1.73347 | + | 3.00246i | −0.0771383 | + | 0.133608i | ||||
\(506\) | 5.41576 | − | 1.92224i | 0.240760 | − | 0.0854538i | ||||
\(507\) | −19.3571 | − | 8.84577i | −0.859681 | − | 0.392854i | ||||
\(508\) | 7.01561 | − | 5.69797i | 0.311267 | − | 0.252806i | ||||
\(509\) | 13.3918 | − | 36.7936i | 0.593580 | − | 1.63085i | −0.170229 | − | 0.985404i | \(-0.554451\pi\) |
0.763809 | − | 0.645442i | \(-0.223327\pi\) | |||||||
\(510\) | −9.81433 | + | 2.62647i | −0.434586 | + | 0.116302i | ||||
\(511\) | 2.56858 | − | 14.5671i | 0.113627 | − | 0.644412i | ||||
\(512\) | 1.62830 | − | 22.5688i | 0.0719615 | − | 0.997407i | ||||
\(513\) | 37.4137 | − | 10.9562i | 1.65185 | − | 0.483727i | ||||
\(514\) | −0.255130 | + | 31.8801i | −0.0112533 | + | 1.40617i | ||||
\(515\) | 25.4262 | + | 4.48333i | 1.12041 | + | 0.197559i | ||||
\(516\) | 8.45106 | + | 2.33993i | 0.372037 | + | 0.103010i | ||||
\(517\) | −12.7247 | + | 34.9608i | −0.559631 | + | 1.53757i | ||||
\(518\) | −13.3423 | + | 11.0148i | −0.586229 | + | 0.483963i | ||||
\(519\) | −5.22668 | + | 0.497813i | −0.229426 | + | 0.0218515i | ||||
\(520\) | −10.3578 | − | 30.7341i | −0.454218 | − | 1.34778i | ||||
\(521\) | −1.86826 | + | 3.23593i | −0.0818501 | + | 0.141768i | −0.904045 | − | 0.427438i | \(-0.859416\pi\) |
0.822195 | + | 0.569207i | \(0.192750\pi\) | |||||||
\(522\) | 2.17319 | − | 6.11073i | 0.0951177 | − | 0.267459i | ||||
\(523\) | −24.2166 | + | 13.9814i | −1.05892 | + | 0.611365i | −0.925132 | − | 0.379645i | \(-0.876046\pi\) |
−0.133784 | + | 0.991011i | \(0.542713\pi\) | |||||||
\(524\) | −21.1465 | + | 24.3976i | −0.923791 | + | 1.06581i | ||||
\(525\) | −0.253487 | + | 0.368009i | −0.0110631 | + | 0.0160612i | ||||
\(526\) | 31.1756 | − | 5.24022i | 1.35932 | − | 0.228484i | ||||
\(527\) | −0.627301 | − | 3.55760i | −0.0273257 | − | 0.154972i | ||||
\(528\) | 25.4930 | + | 18.7905i | 1.10944 | + | 0.817754i | ||||
\(529\) | −17.0137 | − | 14.2761i | −0.739724 | − | 0.620702i | ||||
\(530\) | −10.3852 | + | 5.88559i | −0.451104 | + | 0.255653i | ||||
\(531\) | −12.8113 | + | 11.0902i | −0.555964 | + | 0.481275i | ||||
\(532\) | −16.6448 | − | 9.96843i | −0.721643 | − | 0.432186i | ||||
\(533\) | 8.51684 | + | 23.3998i | 0.368905 | + | 1.01356i | ||||
\(534\) | 17.8489 | − | 1.55598i | 0.772397 | − | 0.0673339i | ||||
\(535\) | 15.5063 | − | 13.0114i | 0.670398 | − | 0.562530i | ||||
\(536\) | −21.6582 | − | 8.47709i | −0.935491 | − | 0.366154i | ||||
\(537\) | −11.7209 | − | 3.04419i | −0.505796 | − | 0.131366i | ||||
\(538\) | −3.21332 | + | 17.4078i | −0.138536 | + | 0.750505i | ||||
\(539\) | − | 24.3560i | − | 1.04909i | ||||||
\(540\) | 21.5471 | + | 9.86272i | 0.927239 | + | 0.424424i | ||||
\(541\) | − | 11.3487i | − | 0.487917i | −0.969786 | − | 0.243959i | \(-0.921554\pi\) | ||
0.969786 | − | 0.243959i | \(-0.0784461\pi\) | |||||||
\(542\) | −12.9130 | − | 2.38361i | −0.554659 | − | 0.102385i | ||||
\(543\) | −3.41191 | − | 12.3526i | −0.146419 | − | 0.530100i | ||||
\(544\) | 3.90322 | − | 9.52053i | 0.167349 | − | 0.408189i | ||||
\(545\) | 6.63000 | − | 5.56323i | 0.283998 | − | 0.238303i | ||||
\(546\) | −14.4322 | − | 6.73531i | −0.617641 | − | 0.288245i | ||||
\(547\) | −7.08764 | − | 19.4731i | −0.303046 | − | 0.832611i | −0.993967 | − | 0.109681i | \(-0.965017\pi\) |
0.690921 | − | 0.722930i | \(-0.257205\pi\) | |||||||
\(548\) | 10.3384 | − | 17.2626i | 0.441635 | − | 0.737420i | ||||
\(549\) | 40.1303 | − | 15.3093i | 1.71272 | − | 0.653387i | ||||
\(550\) | 0.636000 | + | 1.12223i | 0.0271191 | + | 0.0478520i | ||||
\(551\) | 8.78590 | + | 7.37224i | 0.374292 | + | 0.314068i | ||||
\(552\) | −0.450298 | + | 4.33167i | −0.0191660 | + | 0.184368i | ||||
\(553\) | −1.80245 | − | 10.2222i | −0.0766480 | − | 0.434692i | ||||
\(554\) | −2.64369 | − | 15.7281i | −0.112320 | − | 0.668224i | ||||
\(555\) | 16.0532 | + | 33.7462i | 0.681422 | + | 1.43244i | ||||
\(556\) | 10.6040 | − | 12.2342i | 0.449709 | − | 0.518847i | ||||
\(557\) | −32.7009 | + | 18.8798i | −1.38558 | + | 0.799965i | −0.992813 | − | 0.119673i | \(-0.961815\pi\) |
−0.392766 | + | 0.919638i | \(0.628482\pi\) | |||||||
\(558\) | −4.15901 | + | 7.32799i | −0.176065 | + | 0.310218i | ||||
\(559\) | −6.36478 | + | 11.0241i | −0.269201 | + | 0.466271i | ||||
\(560\) | −3.67678 | − | 11.2055i | −0.155372 | − | 0.473517i | ||||
\(561\) | 8.35088 | + | 11.7332i | 0.352574 | + | 0.495375i | ||||
\(562\) | −14.2109 | − | 17.2138i | −0.599450 | − | 0.726119i | ||||
\(563\) | 4.41394 | − | 12.1272i | 0.186025 | − | 0.511100i | −0.811264 | − | 0.584680i | \(-0.801220\pi\) |
0.997289 | + | 0.0735797i | \(0.0234423\pi\) | |||||||
\(564\) | −19.7699 | − | 20.1014i | −0.832463 | − | 0.846421i | ||||
\(565\) | 10.5688 | + | 1.86356i | 0.444632 | + | 0.0784006i | ||||
\(566\) | 15.9483 | + | 0.127631i | 0.670357 | + | 0.00536474i | ||||
\(567\) | 10.8074 | − | 4.31452i | 0.453869 | − | 0.181193i | ||||
\(568\) | −0.624608 | + | 26.0117i | −0.0262079 | + | 1.09143i | ||||
\(569\) | −1.87797 | + | 10.6505i | −0.0787286 | + | 0.446492i | 0.919806 | + | 0.392374i | \(0.128346\pi\) |
−0.998535 | + | 0.0541184i | \(0.982765\pi\) | |||||||
\(570\) | −29.6410 | + | 29.6225i | −1.24152 | + | 1.24075i | ||||
\(571\) | 10.2558 | − | 28.1775i | 0.429190 | − | 1.17919i | −0.517115 | − | 0.855916i | \(-0.672994\pi\) |
0.946305 | − | 0.323274i | \(-0.104784\pi\) | |||||||
\(572\) | −35.6863 | + | 28.9838i | −1.49212 | + | 1.21187i | ||||
\(573\) | −36.5442 | + | 26.0097i | −1.52665 | + | 1.08657i | ||||
\(574\) | 3.02874 | + | 8.53327i | 0.126417 | + | 0.356172i | ||||
\(575\) | −0.0886903 | + | 0.153616i | −0.00369864 | + | 0.00640623i | ||||
\(576\) | −21.1651 | + | 11.3155i | −0.881878 | + | 0.471478i | ||||
\(577\) | 8.40915 | + | 14.5651i | 0.350078 | + | 0.606352i | 0.986263 | − | 0.165184i | \(-0.0528219\pi\) |
−0.636185 | + | 0.771536i | \(0.719489\pi\) | |||||||
\(578\) | −12.5643 | + | 14.7325i | −0.522606 | + | 0.612791i | ||||
\(579\) | 13.4485 | + | 28.2706i | 0.558899 | + | 1.17488i | ||||
\(580\) | 1.10056 | + | 6.88415i | 0.0456984 | + | 0.285849i | ||||
\(581\) | 17.2315 | − | 3.03838i | 0.714883 | − | 0.126053i | ||||
\(582\) | −0.598852 | + | 6.82047i | −0.0248232 | + | 0.282718i | ||||
\(583\) | 12.9622 | + | 10.8766i | 0.536838 | + | 0.450461i | ||||
\(584\) | 28.4028 | − | 15.5014i | 1.17532 | − | 0.641454i | ||||
\(585\) | −21.7038 | + | 26.6888i | −0.897342 | + | 1.10345i | ||||
\(586\) | 23.8644 | − | 40.5808i | 0.985828 | − | 1.67638i | ||||
\(587\) | 7.82140 | + | 21.4891i | 0.322824 | + | 0.886951i | 0.989875 | + | 0.141939i | \(0.0453338\pi\) |
−0.667052 | + | 0.745012i | \(0.732444\pi\) | |||||||
\(588\) | 16.6627 | + | 7.93926i | 0.687158 | + | 0.327409i | ||||
\(589\) | −9.57777 | − | 11.4143i | −0.394645 | − | 0.470320i | ||||
\(590\) | 6.36640 | − | 17.0654i | 0.262100 | − | 0.702570i | ||||
\(591\) | −2.07003 | − | 7.49439i | −0.0851496 | − | 0.308278i | ||||
\(592\) | −37.0432 | − | 7.76173i | −1.52247 | − | 0.319005i | ||||
\(593\) | 44.2631 | 1.81767 | 0.908833 | − | 0.417160i | \(-0.136974\pi\) | ||||
0.908833 | + | 0.417160i | \(0.136974\pi\) | |||||||
\(594\) | 2.42297 | − | 33.5035i | 0.0994157 | − | 1.37466i | ||||
\(595\) | − | 5.36286i | − | 0.219856i | ||||||
\(596\) | 31.6875 | + | 6.11182i | 1.29797 | + | 0.250350i | ||||
\(597\) | −5.19014 | + | 19.9834i | −0.212418 | + | 0.817867i | ||||
\(598\) | −5.92320 | − | 2.20971i | −0.242218 | − | 0.0903617i | ||||
\(599\) | 6.46594 | − | 5.42556i | 0.264191 | − | 0.221683i | −0.501063 | − | 0.865411i | \(-0.667058\pi\) |
0.765254 | + | 0.643728i | \(0.222613\pi\) | |||||||
\(600\) | −0.975065 | + | 0.0692973i | −0.0398069 | + | 0.00282905i | ||||
\(601\) | −10.2943 | + | 3.74683i | −0.419915 | + | 0.152836i | −0.543331 | − | 0.839519i | \(-0.682837\pi\) |
0.123416 | + | 0.992355i | \(0.460615\pi\) | |||||||
\(602\) | −2.34640 | + | 3.98999i | −0.0956320 | + | 0.162620i | ||||
\(603\) | 4.65691 | + | 24.2254i | 0.189644 | + | 0.986533i | ||||
\(604\) | 10.0263 | + | 18.0263i | 0.407963 | + | 0.733478i | ||||
\(605\) | 14.5039 | − | 17.2850i | 0.589666 | − | 0.702737i | ||||
\(606\) | −2.13709 | + | 3.05007i | −0.0868135 | + | 0.123900i | ||||
\(607\) | 5.08144 | + | 28.8183i | 0.206249 | + | 1.16970i | 0.895462 | + | 0.445138i | \(0.146846\pi\) |
−0.689212 | + | 0.724559i | \(0.742043\pi\) | |||||||
\(608\) | −5.69200 | − | 42.0579i | −0.230841 | − | 1.70567i | ||||
\(609\) | 2.81938 | + | 1.94201i | 0.114247 | + | 0.0786942i | ||||
\(610\) | −29.9591 | + | 35.1291i | −1.21301 | + | 1.42233i | ||||
\(611\) | 35.4449 | − | 20.4641i | 1.43395 | − | 0.827889i | ||||
\(612\) | −10.7491 | + | 1.88847i | −0.434508 | + | 0.0763368i | ||||
\(613\) | −4.66918 | − | 2.69575i | −0.188586 | − | 0.108880i | 0.402734 | − | 0.915317i | \(-0.368060\pi\) |
−0.591321 | + | 0.806437i | \(0.701393\pi\) | |||||||
\(614\) | 15.1120 | − | 5.36374i | 0.609869 | − | 0.216463i | ||||
\(615\) | 19.4695 | − | 1.85437i | 0.785088 | − | 0.0747753i | ||||
\(616\) | −13.0603 | + | 10.4351i | −0.526216 | + | 0.420440i | ||||
\(617\) | 38.2253 | + | 13.9129i | 1.53889 | + | 0.560111i | 0.965779 | − | 0.259366i | \(-0.0835135\pi\) |
0.573113 | + | 0.819477i | \(0.305736\pi\) | |||||||
\(618\) | 26.7874 | + | 7.18660i | 1.07755 | + | 0.289088i | ||||
\(619\) | 15.6107 | + | 2.75259i | 0.627447 | + | 0.110636i | 0.478325 | − | 0.878183i | \(-0.341244\pi\) |
0.149122 | + | 0.988819i | \(0.452355\pi\) | |||||||
\(620\) | 0.144957 | − | 9.05607i | 0.00582162 | − | 0.363700i | ||||
\(621\) | 4.14025 | − | 2.04823i | 0.166143 | − | 0.0821925i | ||||
\(622\) | −0.0566840 | + | 7.08301i | −0.00227282 | + | 0.284003i | ||||
\(623\) | −1.64226 | + | 9.31370i | −0.0657956 | + | 0.373146i | ||||
\(624\) | −8.19618 | − | 33.8618i | −0.328110 | − | 1.35556i | ||||
\(625\) | 24.3924 | + | 8.87811i | 0.975697 | + | 0.355125i | ||||
\(626\) | 5.59080 | + | 6.77218i | 0.223453 | + | 0.270671i | ||||
\(627\) | 54.0279 | + | 24.6895i | 2.15767 | + | 0.986004i | ||||
\(628\) | −13.6510 | − | 39.4596i | −0.544733 | − | 1.57461i | ||||
\(629\) | −14.9050 | − | 8.60542i | −0.594302 | − | 0.343121i | ||||
\(630\) | −7.96946 | + | 9.64125i | −0.317511 | + | 0.384117i | ||||
\(631\) | 5.53855 | + | 9.59305i | 0.220486 | + | 0.381893i | 0.954956 | − | 0.296748i | \(-0.0959023\pi\) |
−0.734470 | + | 0.678642i | \(0.762569\pi\) | |||||||
\(632\) | 15.0087 | − | 17.0387i | 0.597013 | − | 0.677762i | ||||
\(633\) | 2.44456 | − | 30.6554i | 0.0971626 | − | 1.21844i | ||||
\(634\) | 3.75253 | + | 22.3249i | 0.149032 | + | 0.886636i | ||||
\(635\) | 10.1479 | − | 1.78935i | 0.402707 | − | 0.0710082i | ||||
\(636\) | −11.6662 | + | 5.32242i | −0.462596 | + | 0.211048i | ||||
\(637\) | −17.2227 | + | 20.5252i | −0.682388 | + | 0.813239i | ||||
\(638\) | 8.59760 | − | 4.87251i | 0.340382 | − | 0.192904i | ||||
\(639\) | 23.6851 | − | 14.1648i | 0.936968 | − | 0.560350i | ||||
\(640\) | 14.1297 | − | 21.5845i | 0.558526 | − | 0.853204i | ||||
\(641\) | −14.4922 | + | 5.27474i | −0.572408 | + | 0.208340i | −0.611975 | − | 0.790877i | \(-0.709625\pi\) |
0.0395664 | + | 0.999217i | \(0.487402\pi\) | |||||||
\(642\) | 17.8159 | − | 12.4666i | 0.703138 | − | 0.492016i | ||||
\(643\) | 10.7001 | + | 12.7519i | 0.421970 | + | 0.502884i | 0.934588 | − | 0.355733i | \(-0.115769\pi\) |
−0.512618 | + | 0.858617i | \(0.671324\pi\) | |||||||
\(644\) | −2.14733 | − | 0.820715i | −0.0846165 | − | 0.0323407i | ||||
\(645\) | 7.12366 | + | 7.01491i | 0.280494 | + | 0.276212i | ||||
\(646\) | 3.50336 | − | 18.9791i | 0.137838 | − | 0.746724i | ||||
\(647\) | 9.34488 | 0.367385 | 0.183693 | − | 0.982984i | \(-0.441195\pi\) | ||||
0.183693 | + | 0.982984i | \(0.441195\pi\) | |||||||
\(648\) | 22.1309 | + | 12.5786i | 0.869385 | + | 0.494136i | ||||
\(649\) | −25.8190 | −1.01348 | ||||||||
\(650\) | 0.257586 | − | 1.39545i | 0.0101034 | − | 0.0547341i | ||||
\(651\) | −3.16909 | − | 3.12071i | −0.124206 | − | 0.122310i | ||||
\(652\) | −5.40740 | + | 14.1479i | −0.211770 | + | 0.554076i | ||||
\(653\) | −19.5285 | − | 23.2732i | −0.764211 | − | 0.910751i | 0.233896 | − | 0.972262i | \(-0.424853\pi\) |
−0.998106 | + | 0.0615108i | \(0.980408\pi\) | |||||||
\(654\) | 7.61749 | − | 5.33030i | 0.297868 | − | 0.208431i | ||||
\(655\) | −34.5907 | + | 12.5900i | −1.35157 | + | 0.491931i | ||||
\(656\) | −10.4478 | + | 16.8282i | −0.407918 | + | 0.657031i | ||||
\(657\) | −29.9828 | − | 16.7010i | −1.16974 | − | 0.651567i | ||||
\(658\) | 12.9478 | − | 7.33787i | 0.504756 | − | 0.286060i | ||||
\(659\) | 18.3717 | − | 21.8946i | 0.715661 | − | 0.852892i | −0.278541 | − | 0.960424i | \(-0.589851\pi\) |
0.994202 | + | 0.107533i | \(0.0342951\pi\) | |||||||
\(660\) | 14.9871 | + | 32.8503i | 0.583374 | + | 1.27870i | ||||
\(661\) | 1.85841 | − | 0.327688i | 0.0722838 | − | 0.0127456i | −0.137389 | − | 0.990517i | \(-0.543871\pi\) |
0.209673 | + | 0.977772i | \(0.432760\pi\) | |||||||
\(662\) | 0.639971 | + | 3.80738i | 0.0248732 | + | 0.147978i | ||||
\(663\) | 1.25937 | − | 15.7928i | 0.0489099 | − | 0.613343i | ||||
\(664\) | 28.7220 | + | 25.3000i | 1.11463 | + | 0.981832i | ||||
\(665\) | −11.0601 | − | 19.1566i | −0.428891 | − | 0.742861i | ||||
\(666\) | 14.0079 | + | 37.6202i | 0.542796 | + | 1.45775i | ||||
\(667\) | 1.17688 | + | 0.679472i | 0.0455690 | + | 0.0263093i | ||||
\(668\) | 20.3450 | − | 7.03830i | 0.787170 | − | 0.272320i | ||||
\(669\) | 18.9289 | + | 8.65009i | 0.731835 | + | 0.334432i | ||||
\(670\) | −16.8818 | − | 20.4490i | −0.652199 | − | 0.790015i | ||||
\(671\) | 61.4988 | + | 22.3837i | 2.37414 | + | 0.864115i | ||||
\(672\) | −2.88170 | − | 12.3364i | −0.111164 | − | 0.475889i | ||||
\(673\) | −0.709316 | + | 4.02273i | −0.0273421 | + | 0.155065i | −0.995422 | − | 0.0955768i | \(-0.969530\pi\) |
0.968080 | + | 0.250642i | \(0.0806416\pi\) | |||||||
\(674\) | 0.237246 | − | 29.6453i | 0.00913836 | − | 1.14189i | ||||
\(675\) | 0.614134 | + | 0.835367i | 0.0236380 | + | 0.0321533i | ||||
\(676\) | 24.5718 | + | 0.393313i | 0.945070 | + | 0.0151274i | ||||
\(677\) | 10.8614 | + | 1.91516i | 0.417438 | + | 0.0736057i | 0.378423 | − | 0.925633i | \(-0.376467\pi\) |
0.0390158 | + | 0.999239i | \(0.487578\pi\) | |||||||
\(678\) | 11.1346 | + | 2.98722i | 0.427621 | + | 0.114723i | ||||
\(679\) | −3.39613 | − | 1.23609i | −0.130331 | − | 0.0474367i | ||||
\(680\) | 9.16521 | − | 7.32290i | 0.351470 | − | 0.280820i | ||||
\(681\) | 16.2296 | − | 1.54578i | 0.621920 | − | 0.0592345i | ||||
\(682\) | −12.0993 | + | 4.29443i | −0.463304 | + | 0.164442i | ||||
\(683\) | 32.8628 | + | 18.9733i | 1.25746 | + | 0.725994i | 0.972580 | − | 0.232569i | \(-0.0747132\pi\) |
0.284879 | + | 0.958563i | \(0.408047\pi\) | |||||||
\(684\) | −34.5021 | + | 28.9142i | −1.31922 | + | 1.10556i | ||||
\(685\) | 19.8676 | − | 11.4706i | 0.759102 | − | 0.438268i | ||||
\(686\) | −14.6279 | + | 17.1522i | −0.558496 | + | 0.654874i | ||||
\(687\) | −23.4154 | − | 16.1287i | −0.893353 | − | 0.615347i | ||||
\(688\) | −10.0229 | + | 1.43824i | −0.382121 | + | 0.0548325i | ||||
\(689\) | −3.23237 | − | 18.3317i | −0.123144 | − | 0.698382i | ||||
\(690\) | −2.84922 | + | 4.06641i | −0.108468 | + | 0.154806i | ||||
\(691\) | −13.3549 | + | 15.9157i | −0.508043 | + | 0.605462i | −0.957710 | − | 0.287734i | \(-0.907098\pi\) |
0.449667 | + | 0.893196i | \(0.351543\pi\) | |||||||
\(692\) | 5.29818 | − | 2.94686i | 0.201406 | − | 0.112023i | ||||
\(693\) | 16.7532 | + | 5.80741i | 0.636401 | + | 0.220605i | ||||
\(694\) | −17.9484 | + | 30.5208i | −0.681311 | + | 1.15855i | ||||
\(695\) | 17.3456 | − | 6.31328i | 0.657956 | − | 0.239476i | ||||
\(696\) | 0.530899 | + | 7.47015i | 0.0201237 | + | 0.283155i | ||||
\(697\) | −6.90003 | + | 5.78981i | −0.261357 | + | 0.219305i | ||||
\(698\) | 2.27146 | + | 0.847391i | 0.0859761 | + | 0.0320742i | ||||
\(699\) | 3.60054 | − | 13.8631i | 0.136185 | − | 0.524349i | ||||
\(700\) | 0.0977225 | − | 0.506654i | 0.00369356 | − | 0.0191497i | ||||
\(701\) | 42.7784i | 1.61572i | 0.589375 | + | 0.807860i | \(0.299374\pi\) | ||||
−0.589375 | + | 0.807860i | \(0.700626\pi\) | |||||||
\(702\) | −25.7329 | + | 26.5206i | −0.971227 | + | 1.00095i | ||||
\(703\) | −70.9894 | −2.67741 | ||||||||
\(704\) | −35.6673 | − | 8.07142i | −1.34426 | − | 0.304203i | ||||
\(705\) | −8.55830 | − | 30.9847i | −0.322324 | − | 1.16695i | ||||
\(706\) | 11.6719 | − | 31.2869i | 0.439277 | − | 1.17750i | ||||
\(707\) | −1.26364 | − | 1.50594i | −0.0475240 | − | 0.0566369i | ||||
\(708\) | 8.41612 | − | 17.6635i | 0.316297 | − | 0.663836i | ||||
\(709\) | 9.51434 | + | 26.1404i | 0.357318 | + | 0.981724i | 0.979956 | + | 0.199214i | \(0.0638388\pi\) |
−0.622638 | + | 0.782510i | \(0.713939\pi\) | |||||||
\(710\) | −15.0377 | + | 25.5713i | −0.564355 | + | 0.959672i | ||||
\(711\) | −23.7793 | − | 3.81675i | −0.891794 | − | 0.143139i | ||||
\(712\) | −18.1597 | + | 9.91106i | −0.680565 | + | 0.371433i | ||||
\(713\) | −1.35245 | − | 1.13484i | −0.0506496 | − | 0.0425000i | ||||
\(714\) | 0.503880 | − | 5.73882i | 0.0188572 | − | 0.214770i | ||||
\(715\) | −51.6193 | + | 9.10188i | −1.93045 | + | 0.340391i | ||||
\(716\) | 13.8079 | − | 2.20745i | 0.516024 | − | 0.0824963i | ||||
\(717\) | −11.7876 | − | 24.7791i | −0.440214 | − | 0.925392i | ||||
\(718\) | −0.0304833 | + | 0.0357438i | −0.00113763 | + | 0.00133395i | ||||
\(719\) | 17.1489 | + | 29.7028i | 0.639546 | + | 1.10773i | 0.985532 | + | 0.169487i | \(0.0542112\pi\) |
−0.345986 | + | 0.938240i | \(0.612456\pi\) | |||||||
\(720\) | −27.3592 | − | 0.454954i | −1.01962 | − | 0.0169551i | ||||
\(721\) | −7.31997 | + | 12.6786i | −0.272610 | + | 0.472174i | ||||
\(722\) | −17.6395 | − | 49.6979i | −0.656473 | − | 1.84957i | ||||
\(723\) | −30.8059 | + | 21.9256i | −1.14569 | + | 0.815422i | ||||
\(724\) | 9.32910 | + | 11.4864i | 0.346713 | + | 0.426890i | ||||
\(725\) | −0.104326 | + | 0.286633i | −0.00387456 | + | 0.0106453i | ||||
\(726\) | 17.1447 | − | 17.1340i | 0.636299 | − | 0.635904i | ||||
\(727\) | −7.66167 | + | 43.4515i | −0.284156 | + | 1.61153i | 0.424130 | + | 0.905601i | \(0.360580\pi\) |
−0.708285 | + | 0.705926i | \(0.750531\pi\) | |||||||
\(728\) | 18.3850 | + | 0.441471i | 0.681394 | + | 0.0163620i | ||||
\(729\) | −1.24560 | − | 26.9713i | −0.0461332 | − | 0.998935i | ||||
\(730\) | 36.8905 | + | 0.295228i | 1.36538 | + | 0.0109269i | ||||
\(731\) | −4.53456 | − | 0.799565i | −0.167717 | − | 0.0295730i | ||||
\(732\) | −35.3600 | + | 34.7769i | −1.30694 | + | 1.28539i | ||||
\(733\) | −6.41336 | + | 17.6206i | −0.236883 | + | 0.650831i | 0.763107 | + | 0.646273i | \(0.223673\pi\) |
−0.999990 | + | 0.00455803i | \(0.998549\pi\) | |||||||
\(734\) | 23.1342 | + | 28.0227i | 0.853900 | + | 1.03434i | ||||
\(735\) | 12.2025 | + | 17.1447i | 0.450094 | + | 0.632392i | ||||
\(736\) | −1.52952 | − | 4.79049i | −0.0563789 | − | 0.176580i | ||||
\(737\) | −18.7942 | + | 32.5525i | −0.692294 | + | 1.19909i | ||||
\(738\) | 21.0087 | − | 0.155058i | 0.773339 | − | 0.00570778i | ||||
\(739\) | 31.6248 | − | 18.2586i | 1.16334 | − | 0.671652i | 0.211235 | − | 0.977435i | \(-0.432252\pi\) |
0.952101 | + | 0.305783i | \(0.0989183\pi\) | |||||||
\(740\) | −32.6075 | − | 28.2625i | −1.19867 | − | 1.03895i | ||||
\(741\) | −28.0717 | − | 59.0106i | −1.03124 | − | 2.16781i | ||||
\(742\) | −1.12199 | − | 6.67505i | −0.0411895 | − | 0.245049i | ||||
\(743\) | 0.0717778 | + | 0.407072i | 0.00263327 | + | 0.0149340i | 0.986096 | − | 0.166176i | \(-0.0531420\pi\) |
−0.983463 | + | 0.181110i | \(0.942031\pi\) | |||||||
\(744\) | 1.00600 | − | 9.67731i | 0.0368819 | − | 0.354787i | ||||
\(745\) | 28.1855 | + | 23.6504i | 1.03264 | + | 0.866485i | ||||
\(746\) | −4.56071 | − | 8.04743i | −0.166979 | − | 0.294637i | ||||
\(747\) | 6.43387 | − | 40.0846i | 0.235403 | − | 1.46662i | ||||
\(748\) | −14.2666 | − | 8.54416i | −0.521640 | − | 0.312406i | ||||
\(749\) | 3.92569 | + | 10.7857i | 0.143442 | + | 0.394103i | ||||
\(750\) | 24.2971 | + | 11.3391i | 0.887203 | + | 0.414046i | ||||
\(751\) | 10.6301 | − | 8.91971i | 0.387898 | − | 0.325485i | −0.427896 | − | 0.903828i | \(-0.640745\pi\) |
0.815794 | + | 0.578343i | \(0.196301\pi\) | |||||||
\(752\) | 30.2205 | + | 12.1082i | 1.10203 | + | 0.441540i | ||||
\(753\) | −2.04729 | − | 7.41206i | −0.0746073 | − | 0.270110i | ||||
\(754\) | −10.6908 | − | 1.97342i | −0.389336 | − | 0.0718676i | ||||
\(755\) | 23.5173i | 0.855883i | ||||||||
\(756\) | −9.43401 | + | 9.56835i | −0.343112 | + | 0.347997i | ||||
\(757\) | − | 5.96005i | − | 0.216622i | −0.994117 | − | 0.108311i | \(-0.965456\pi\) | ||
0.994117 | − | 0.108311i | \(-0.0345442\pi\) | |||||||
\(758\) | −5.89413 | + | 31.9309i | −0.214084 | + | 1.15978i | ||||
\(759\) | 6.81232 | + | 1.76931i | 0.247272 | + | 0.0642219i | ||||
\(760\) | 17.6366 | − | 45.0599i | 0.639746 | − | 1.63449i | ||||
\(761\) | −16.9390 | + | 14.2135i | −0.614037 | + | 0.515238i | −0.895923 | − | 0.444210i | \(-0.853484\pi\) |
0.281886 | + | 0.959448i | \(0.409040\pi\) | |||||||
\(762\) | 11.0274 | − | 0.961319i | 0.399482 | − | 0.0348249i | ||||
\(763\) | 1.67850 | + | 4.61163i | 0.0607656 | + | 0.166952i | ||||
\(764\) | 26.6117 | − | 44.4349i | 0.962776 | − | 1.60760i | ||||
\(765\) | −11.7567 | − | 4.07540i | −0.425065 | − | 0.147347i | ||||
\(766\) | 15.4150 | − | 8.73615i | 0.556968 | − | 0.315650i | ||||
\(767\) | 21.7580 | + | 18.2572i | 0.785637 | + | 0.659228i | ||||
\(768\) | 17.1483 | − | 21.7701i | 0.618785 | − | 0.785561i | ||||
\(769\) | −4.94612 | − | 28.0509i | −0.178362 | − | 1.01154i | −0.934192 | − | 0.356772i | \(-0.883877\pi\) |
0.755830 | − | 0.654768i | \(-0.227234\pi\) | |||||||
\(770\) | −18.7959 | + | 3.15935i | −0.677359 | + | 0.113855i | ||||
\(771\) | −22.1493 | + | 32.1561i | −0.797688 | + | 1.15807i | ||||
\(772\) | −27.3166 | − | 23.6766i | −0.983147 | − | 0.852140i | ||||
\(773\) | −17.4609 | + | 10.0810i | −0.628024 | + | 0.362590i | −0.779986 | − | 0.625796i | \(-0.784774\pi\) |
0.151962 | + | 0.988386i | \(0.451441\pi\) | |||||||
\(774\) | 6.96395 | + | 8.17600i | 0.250314 | + | 0.293880i | ||||
\(775\) | 0.198141 | − | 0.343191i | 0.00711745 | − | 0.0123278i | ||||
\(776\) | −2.52486 | − | 7.49189i | −0.0906371 | − | 0.268943i | ||||
\(777\) | −21.0945 | + | 2.00914i | −0.756762 | + | 0.0720775i | ||||
\(778\) | 28.6106 | − | 23.6195i | 1.02574 | − | 0.846801i | ||||
\(779\) | −12.7069 | + | 34.9119i | −0.455272 | + | 1.25085i | ||||
\(780\) | 10.5993 | − | 38.2812i | 0.379516 | − | 1.37069i | ||||
\(781\) | 41.4120 | + | 7.30205i | 1.48184 | + | 0.261288i | ||||
\(782\) | 0.0183000 | − | 2.28669i | 0.000654406 | − | 0.0817720i | ||||
\(783\) | 6.39990 | − | 4.70499i | 0.228714 | − | 0.168143i | ||||
\(784\) | −21.3019 | − | 0.682119i | −0.760782 | − | 0.0243614i | ||||
\(785\) | 8.26650 | − | 46.8817i | 0.295044 | − | 1.67328i | ||||
\(786\) | −38.1985 | + | 10.2225i | −1.36250 | + | 0.364626i | ||||
\(787\) | 5.28733 | − | 14.5268i | 0.188473 | − | 0.517826i | −0.809083 | − | 0.587694i | \(-0.800036\pi\) |
0.997556 | + | 0.0698687i | \(0.0222580\pi\) | |||||||
\(788\) | 5.66002 | + | 6.96889i | 0.201630 | + | 0.248256i | ||||
\(789\) | 35.2151 | + | 16.0925i | 1.25369 | + | 0.572907i | ||||
\(790\) | 24.3969 | − | 8.65927i | 0.868001 | − | 0.308083i | ||||
\(791\) | −3.04265 | + | 5.27003i | −0.108184 | + | 0.187381i | ||||
\(792\) | 12.9513 | + | 36.5614i | 0.460203 | + | 1.29915i | ||||
\(793\) | −35.9980 | − | 62.3503i | −1.27833 | − | 2.21413i | ||||
\(794\) | −28.8269 | − | 24.5844i | −1.02303 | − | 0.872467i | ||||
\(795\) | −14.5735 | − | 1.16214i | −0.516870 | − | 0.0412169i | ||||
\(796\) | −3.76356 | − | 23.5415i | −0.133396 | − | 0.834406i | ||||
\(797\) | −42.6976 | + | 7.52875i | −1.51243 | + | 0.266682i | −0.867452 | − | 0.497521i | \(-0.834244\pi\) |
−0.644976 | + | 0.764203i | \(0.723133\pi\) | |||||||
\(798\) | −10.0355 | − | 21.5387i | −0.355253 | − | 0.762462i | ||||
\(799\) | 11.3409 | + | 9.51613i | 0.401211 | + | 0.336656i | ||||
\(800\) | 0.999319 | − | 0.524819i | 0.0353313 | − | 0.0185552i | ||||
\(801\) | 19.1699 | + | 10.6780i | 0.677336 | + | 0.377289i | ||||
\(802\) | 21.2589 | + | 12.5017i | 0.750679 | + | 0.441452i | ||||
\(803\) | −17.8858 | − | 49.1409i | −0.631177 | − | 1.73414i | ||||
\(804\) | −16.1439 | − | 23.4687i | −0.569351 | − | 0.827678i | ||||
\(805\) | −1.68471 | − | 2.00776i | −0.0593782 | − | 0.0707642i | ||||
\(806\) | 13.2329 | + | 4.93667i | 0.466110 | + | 0.173887i | ||||
\(807\) | −15.2119 | + | 15.4478i | −0.535486 | + | 0.543787i | ||||
\(808\) | 0.848206 | − | 4.21592i | 0.0298398 | − | 0.148315i | ||||
\(809\) | −18.8726 | −0.663527 | −0.331763 | − | 0.943363i | \(-0.607644\pi\) | ||||
−0.331763 | + | 0.943363i | \(0.607644\pi\) | |||||||
\(810\) | 15.0798 | + | 24.7977i | 0.529849 | + | 0.871302i | ||||
\(811\) | − | 26.5177i | − | 0.931161i | −0.885005 | − | 0.465581i | \(-0.845846\pi\) | ||
0.885005 | − | 0.465581i | \(-0.154154\pi\) | |||||||
\(812\) | −3.88157 | − | 0.748670i | −0.136216 | − | 0.0262732i | ||||
\(813\) | −11.4590 | − | 11.2841i | −0.401885 | − | 0.395750i | ||||
\(814\) | −21.3798 | + | 57.3092i | −0.749360 | + | 2.00869i | ||||
\(815\) | −13.2284 | + | 11.0999i | −0.463370 | + | 0.388814i | ||||
\(816\) | 10.4958 | − | 6.97512i | 0.367425 | − | 0.244178i | ||||
\(817\) | −17.8468 | + | 6.49571i | −0.624381 | + | 0.227256i | ||||
\(818\) | 15.9496 | + | 9.37946i | 0.557663 | + | 0.327945i | ||||
\(819\) | −10.0116 | − | 16.7406i | −0.349835 | − | 0.584962i | ||||
\(820\) | −19.7359 | + | 10.9772i | −0.689207 | + | 0.383339i | ||||
\(821\) | 3.82534 | − | 4.55887i | 0.133505 | − | 0.159106i | −0.695150 | − | 0.718865i | \(-0.744662\pi\) |
0.828655 | + | 0.559759i | \(0.189106\pi\) | |||||||
\(822\) | 22.3381 | − | 10.4080i | 0.779131 | − | 0.363020i | ||||
\(823\) | −1.21437 | − | 6.88704i | −0.0423303 | − | 0.240067i | 0.956300 | − | 0.292387i | \(-0.0944495\pi\) |
−0.998630 | + | 0.0523200i | \(0.983338\pi\) | |||||||
\(824\) | −31.6631 | + | 4.80242i | −1.10304 | + | 0.167300i | ||||
\(825\) | −0.125582 | + | 1.57482i | −0.00437219 | + | 0.0548283i | ||||
\(826\) | 7.85838 | + | 6.70186i | 0.273428 | + | 0.233188i | ||||
\(827\) | −20.7782 | + | 11.9963i | −0.722529 | + | 0.417152i | −0.815683 | − | 0.578500i | \(-0.803638\pi\) |
0.0931541 | + | 0.995652i | \(0.470305\pi\) | |||||||
\(828\) | −3.43103 | + | 4.08378i | −0.119236 | + | 0.141921i | ||||
\(829\) | −13.2292 | − | 7.63790i | −0.459470 | − | 0.265275i | 0.252351 | − | 0.967636i | \(-0.418796\pi\) |
−0.711822 | + | 0.702360i | \(0.752130\pi\) | |||||||
\(830\) | 14.5969 | + | 41.1256i | 0.506665 | + | 1.42749i | ||||
\(831\) | 8.11866 | − | 17.7660i | 0.281633 | − | 0.616297i | ||||
\(832\) | 24.3500 | + | 32.0231i | 0.844183 | + | 1.11020i | ||||
\(833\) | −9.10730 | − | 3.31479i | −0.315549 | − | 0.114851i | ||||
\(834\) | 19.1548 | − | 5.12611i | 0.663275 | − | 0.177503i | ||||
\(835\) | 24.1717 | + | 4.26213i | 0.836497 | + | 0.147497i | ||||
\(836\) | −68.5826 | − | 1.09778i | −2.37198 | − | 0.0379675i | ||||
\(837\) | −9.24966 | + | 4.57590i | −0.319715 | + | 0.158166i | ||||
\(838\) | −10.6369 | − | 0.0851253i | −0.367446 | − | 0.00294060i | ||||
\(839\) | 5.29503 | − | 30.0296i | 0.182805 | − | 1.03674i | −0.745939 | − | 0.666014i | \(-0.767999\pi\) |
0.928744 | − | 0.370722i | \(-0.120890\pi\) | |||||||
\(840\) | 3.96544 | − | 13.8887i | 0.136821 | − | 0.479206i | ||||
\(841\) | −25.0551 | − | 9.11933i | −0.863970 | − | 0.314459i | ||||
\(842\) | −24.2142 | + | 19.9901i | −0.834477 | + | 0.688905i | ||||
\(843\) | −2.59211 | − | 27.2154i | −0.0892771 | − | 0.937347i | ||||
\(844\) | 11.6096 | + | 33.5588i | 0.399619 | + | 1.15514i | ||||
\(845\) | 24.2648 | + | 14.0093i | 0.834733 | + | 0.481933i | ||||
\(846\) | −6.24702 | − | 33.9610i | −0.214777 | − | 1.16760i | ||||
\(847\) | 6.39728 | + | 11.0804i | 0.219813 | + | 0.380728i | ||||
\(848\) | 9.87571 | − | 11.0322i | 0.339133 | − | 0.378846i | ||||
\(849\) | 16.0864 | + | 11.0804i | 0.552083 | + | 0.380278i | ||||
\(850\) | 0.506186 | − | 0.0850833i | 0.0173620 | − | 0.00291833i | ||||
\(851\) | −8.28351 | + | 1.46061i | −0.283955 | + | 0.0500689i | ||||
\(852\) | −18.4945 | + | 25.9510i | −0.633611 | + | 0.889066i | ||||
\(853\) | 33.1306 | − | 39.4836i | 1.13437 | − | 1.35189i | 0.206740 | − | 0.978396i | \(-0.433715\pi\) |
0.927632 | − | 0.373496i | \(-0.121841\pi\) | |||||||
\(854\) | −12.9079 | − | 22.7762i | −0.441700 | − | 0.779384i | ||||
\(855\) | −50.4009 | + | 9.68871i | −1.72367 | + | 0.331347i | ||||
\(856\) | −13.0725 | + | 21.4368i | −0.446810 | + | 0.732696i | ||||
\(857\) | −5.66779 | + | 2.06291i | −0.193608 | + | 0.0704676i | −0.437004 | − | 0.899459i | \(-0.643961\pi\) |
0.243396 | + | 0.969927i | \(0.421738\pi\) | |||||||
\(858\) | −56.0932 | + | 4.88994i | −1.91499 | + | 0.166940i | ||||
\(859\) | −1.74563 | − | 2.08036i | −0.0595602 | − | 0.0709810i | 0.735442 | − | 0.677588i | \(-0.236975\pi\) |
−0.795002 | + | 0.606607i | \(0.792530\pi\) | |||||||
\(860\) | −10.7836 | − | 4.12155i | −0.367719 | − | 0.140544i | ||||
\(861\) | −2.78779 | + | 10.7337i | −0.0950076 | + | 0.365805i | ||||
\(862\) | 20.1764 | + | 3.72436i | 0.687209 | + | 0.126852i | ||||
\(863\) | −0.498885 | −0.0169822 | −0.00849112 | − | 0.999964i | \(-0.502703\pi\) | ||||
−0.00849112 | + | 0.999964i | \(0.502703\pi\) | |||||||
\(864\) | −29.2344 | − | 3.05745i | −0.994576 | − | 0.104016i | ||||
\(865\) | 6.91208 | 0.235018 | ||||||||
\(866\) | −32.3672 | − | 5.97467i | −1.09988 | − | 0.203028i | ||||
\(867\) | −22.8583 | + | 6.31368i | −0.776307 | + | 0.214424i | ||||
\(868\) | 4.79730 | + | 1.83354i | 0.162831 | + | 0.0622346i | ||||
\(869\) | −23.5882 | − | 28.1113i | −0.800175 | − | 0.953611i | ||||
\(870\) | −3.61089 | + | 7.73728i | −0.122420 | + | 0.262318i | ||||
\(871\) | 38.8568 | − | 14.1427i | 1.31661 | − | 0.479208i | ||||
\(872\) | −5.58939 | + | 9.16568i | −0.189281 | + | 0.310389i | ||||
\(873\) | −5.29063 | + | 6.50580i | −0.179061 | + | 0.220188i | ||||
\(874\) | −4.65058 | − | 8.20600i | −0.157308 | − | 0.277572i | ||||
\(875\) | −9.09755 | + | 10.8420i | −0.307553 | + | 0.366528i | ||||
\(876\) | 39.4489 | + | 3.78206i | 1.33286 | + | 0.127784i | ||||
\(877\) | 11.0278 | − | 1.94450i | 0.372383 | − | 0.0656612i | 0.0156751 | − | 0.999877i | \(-0.495010\pi\) |
0.356708 | + | 0.934216i | \(0.383899\pi\) | |||||||
\(878\) | 3.77137 | − | 0.633918i | 0.127278 | − | 0.0213937i | ||||
\(879\) | 52.0671 | − | 24.7686i | 1.75618 | − | 0.835425i | ||||
\(880\) | −31.0649 | − | 27.8085i | −1.04720 | − | 0.937425i | ||||
\(881\) | −12.4891 | − | 21.6317i | −0.420768 | − | 0.728792i | 0.575247 | − | 0.817980i | \(-0.304906\pi\) |
−0.996015 | + | 0.0891883i | \(0.971573\pi\) | |||||||
\(882\) | 11.4470 | + | 19.4931i | 0.385441 | + | 0.656368i | ||||
\(883\) | −27.0133 | − | 15.5962i | −0.909071 | − | 0.524852i | −0.0289389 | − | 0.999581i | \(-0.509213\pi\) |
−0.880132 | + | 0.474729i | \(0.842546\pi\) | |||||||
\(884\) | 5.98094 | + | 17.2886i | 0.201161 | + | 0.581477i | ||||
\(885\) | 18.1745 | − | 12.9354i | 0.610929 | − | 0.434818i | ||||
\(886\) | −16.8640 | + | 13.9221i | −0.566556 | + | 0.467722i | ||||
\(887\) | −11.7648 | − | 4.28205i | −0.395025 | − | 0.143777i | 0.136867 | − | 0.990589i | \(-0.456297\pi\) |
−0.531892 | + | 0.846812i | \(0.678519\pi\) | |||||||
\(888\) | −32.2379 | − | 33.3075i | −1.08183 | − | 1.11772i | ||||
\(889\) | −1.01462 | + | 5.75421i | −0.0340293 | + | 0.192990i | ||||
\(890\) | −23.5865 | − | 0.188758i | −0.790620 | − | 0.00632719i | ||||
\(891\) | 25.4625 | − | 32.3139i | 0.853027 | − | 1.08256i | ||||
\(892\) | −24.0283 | − | 0.384612i | −0.804526 | − | 0.0128778i | ||||
\(893\) | 60.1361 | + | 10.6036i | 2.01238 | + | 0.354837i | ||||
\(894\) | 27.9393 | + | 27.9566i | 0.934428 | + | 0.935010i | ||||
\(895\) | 14.9811 | + | 5.45269i | 0.500764 | + | 0.182263i | ||||
\(896\) | 8.76078 | + | 11.7149i | 0.292677 | + | 0.391367i | ||||
\(897\) | −4.48973 | − | 6.30817i | −0.149908 | − | 0.210624i | ||||
\(898\) | −12.2788 | − | 34.5946i | −0.409748 | − | 1.15444i | ||||
\(899\) | −2.62925 | − | 1.51800i | −0.0876903 | − | 0.0506280i | ||||
\(900\) | −1.03645 | − | 0.599254i | −0.0345483 | − | 0.0199751i | ||||
\(901\) | 5.83112 | − | 3.36660i | 0.194263 | − | 0.112158i | ||||
\(902\) | 24.3573 | + | 20.7726i | 0.811008 | + | 0.691651i | ||||
\(903\) | −5.11935 | + | 2.43530i | −0.170361 | + | 0.0810418i | ||||
\(904\) | −13.1612 | + | 1.99620i | −0.437737 | + | 0.0663925i | ||||
\(905\) | 2.92964 | + | 16.6148i | 0.0973847 | + | 0.552296i | ||||
\(906\) | −2.20962 | + | 25.1660i | −0.0734098 | + | 0.836083i | ||||
\(907\) | −12.8068 | + | 15.2625i | −0.425242 | + | 0.506784i | −0.935543 | − | 0.353212i | \(-0.885090\pi\) |
0.510301 | + | 0.859996i | \(0.329534\pi\) | |||||||
\(908\) | −16.4516 | + | 9.15045i | −0.545966 | + | 0.303668i | ||||
\(909\) | −4.26168 | + | 1.62579i | −0.141351 | + | 0.0539241i | ||||
\(910\) | 18.0737 | + | 10.6286i | 0.599137 | + | 0.352335i | ||||
\(911\) | 4.64046 | − | 1.68899i | 0.153745 | − | 0.0559587i | −0.264001 | − | 0.964522i | \(-0.585042\pi\) |
0.417746 | + | 0.908564i | \(0.362820\pi\) | |||||||
\(912\) | 23.1067 | − | 46.5616i | 0.765138 | − | 1.54181i | ||||
\(913\) | 47.3871 | − | 39.7625i | 1.56828 | − | 1.31595i | ||||
\(914\) | −4.77058 | + | 12.7877i | −0.157797 | + | 0.422980i | ||||
\(915\) | −54.5046 | + | 15.0547i | −1.80187 | + | 0.497694i | ||||
\(916\) | 32.2370 | + | 6.21781i | 1.06514 | + | 0.205442i | ||||
\(917\) | − | 20.8729i | − | 0.689283i | ||||||
\(918\) | −12.1980 | − | 5.46573i | −0.402594 | − | 0.180396i | ||||
\(919\) | 41.0836 | 1.35522 | 0.677612 | − | 0.735420i | \(-0.263015\pi\) | ||||
0.677612 | + | 0.735420i | \(0.263015\pi\) | |||||||
\(920\) | 1.13085 | − | 5.62076i | 0.0372829 | − | 0.185311i | ||||
\(921\) | 19.0089 | + | 4.93703i | 0.626364 | + | 0.162681i | ||||
\(922\) | 11.4924 | + | 4.28737i | 0.378484 | + | 0.141197i | ||||
\(923\) | −29.7351 | − | 35.4369i | −0.978743 | − | 1.16642i | ||||
\(924\) | −20.4104 | + | 1.61482i | −0.671454 | + | 0.0531236i | ||||
\(925\) | −0.645733 | − | 1.77414i | −0.0212316 | − | 0.0583333i | ||||
\(926\) | 23.4810 | + | 13.8085i | 0.771633 | + | 0.453774i | ||||
\(927\) | 22.2319 | + | 25.6820i | 0.730190 | + | 0.843508i | ||||
\(928\) | −4.02073 | − | 7.65596i | −0.131987 | − | 0.251319i | ||||
\(929\) | 22.2060 | + | 18.6330i | 0.728555 | + | 0.611330i | 0.929737 | − | 0.368224i | \(-0.120034\pi\) |
−0.201183 | + | 0.979554i | \(0.564478\pi\) | |||||||
\(930\) | 6.36539 | − | 9.08470i | 0.208729 | − | 0.297899i | ||||
\(931\) | −39.3683 | + | 6.94169i | −1.29024 | + | 0.227505i | ||||
\(932\) | 2.61089 | + | 16.3314i | 0.0855224 | + | 0.534953i | ||||
\(933\) | −4.92106 | + | 7.14433i | −0.161108 | + | 0.233895i | ||||
\(934\) | 16.2472 | + | 13.8561i | 0.531625 | + | 0.453385i | ||||
\(935\) | −9.47984 | − | 16.4196i | −0.310024 | − | 0.536977i | ||||
\(936\) | 14.9392 | − | 39.9690i | 0.488301 | − | 1.30643i | ||||
\(937\) | −12.6728 | + | 21.9500i | −0.414004 | + | 0.717075i | −0.995323 | − | 0.0966000i | \(-0.969203\pi\) |
0.581320 | + | 0.813675i | \(0.302537\pi\) | |||||||
\(938\) | 14.1700 | − | 5.02941i | 0.462667 | − | 0.164216i | ||||
\(939\) | 1.01978 | + | 10.7070i | 0.0332793 | + | 0.349409i | ||||
\(940\) | 23.4007 | + | 28.8121i | 0.763247 | + | 0.939746i | ||||
\(941\) | −10.2032 | + | 28.0332i | −0.332616 | + | 0.913856i | 0.654813 | + | 0.755791i | \(0.272748\pi\) |
−0.987429 | + | 0.158064i | \(0.949475\pi\) | |||||||
\(942\) | 13.2509 | − | 49.3915i | 0.431737 | − | 1.60926i | ||||
\(943\) | −0.764413 | + | 4.33520i | −0.0248927 | + | 0.141174i | ||||
\(944\) | −0.723090 | + | 22.5814i | −0.0235346 | + | 0.734961i | ||||
\(945\) | −14.7024 | + | 4.30545i | −0.478271 | + | 0.140056i | ||||
\(946\) | −0.130957 | + | 16.3639i | −0.00425779 | + | 0.532037i | ||||
\(947\) | 1.18920 | + | 0.209688i | 0.0386438 | + | 0.00681395i | 0.192937 | − | 0.981211i | \(-0.438199\pi\) |
−0.154293 | + | 0.988025i | \(0.549310\pi\) | |||||||
\(948\) | 26.9208 | − | 6.97405i | 0.874346 | − | 0.226506i | ||||
\(949\) | −19.6760 | + | 54.0593i | −0.638709 | + | 1.75484i | ||||
\(950\) | 1.63267 | − | 1.34785i | 0.0529708 | − | 0.0437302i | ||||
\(951\) | −11.5238 | + | 25.2176i | −0.373686 | + | 0.817736i | ||||
\(952\) | 2.12444 | + | 6.30375i | 0.0688536 | + | 0.204306i | ||||
\(953\) | −0.148926 | + | 0.257948i | −0.00482419 | + | 0.00835575i | −0.868427 | − | 0.495816i | \(-0.834869\pi\) |
0.863603 | + | 0.504172i | \(0.168202\pi\) | |||||||
\(954\) | −15.4860 | − | 2.61290i | −0.501377 | − | 0.0845958i | ||||
\(955\) | 51.1404 | − | 29.5259i | 1.65486 | − | 0.955436i | ||||
\(956\) | 23.9430 | + | 20.7525i | 0.774371 | + | 0.671185i | ||||
\(957\) | 12.0650 | + | 0.962103i | 0.390006 | + | 0.0311004i | ||||
\(958\) | 40.8520 | − | 6.86668i | 1.31987 | − | 0.221852i | ||||
\(959\) | 2.25888 | + | 12.8108i | 0.0729432 | + | 0.413681i | ||||
\(960\) | 29.1508 | − | 12.1878i | 0.940837 | − | 0.393360i | ||||
\(961\) | −20.7259 | − | 17.3911i | −0.668577 | − | 0.561003i | ||||
\(962\) | 58.5417 | − | 33.1773i | 1.88746 | − | 1.06968i | ||||
\(963\) | 26.6283 | − | 0.409660i | 0.858084 | − | 0.0132011i | ||||
\(964\) | 22.4331 | − | 37.4576i | 0.722520 | − | 1.20643i | ||||
\(965\) | −14.0963 | − | 38.7293i | −0.453776 | − | 1.24674i | ||||
\(966\) | −1.61417 | − | 2.30680i | −0.0519351 | − | 0.0742201i | ||||
\(967\) | −25.2691 | + | 21.2033i | −0.812601 | + | 0.681853i | −0.951227 | − | 0.308492i | \(-0.900176\pi\) |
0.138626 | + | 0.990345i | \(0.455731\pi\) | |||||||
\(968\) | −10.2012 | + | 26.0632i | −0.327880 | + | 0.837702i | ||||
\(969\) | 16.5850 | − | 16.8422i | 0.532788 | − | 0.541048i | ||||
\(970\) | 1.63620 | − | 8.86397i | 0.0525353 | − | 0.284605i | ||||
\(971\) | 36.2843i | 1.16442i | 0.813039 | + | 0.582210i | \(0.197812\pi\) | ||||
−0.813039 | + | 0.582210i | \(0.802188\pi\) | |||||||
\(972\) | 13.8070 | + | 27.9529i | 0.442859 | + | 0.896591i | ||||
\(973\) | 10.4668i | 0.335549i | ||||||||
\(974\) | −28.4438 | − | 5.25046i | −0.911399 | − | 0.168235i | ||||
\(975\) | 1.21942 | − | 1.23833i | 0.0390528 | − | 0.0396582i | ||||
\(976\) | 21.2993 | − | 53.1603i | 0.681773 | − | 1.70162i | ||||
\(977\) | −6.97592 | + | 5.85349i | −0.223179 | + | 0.187270i | −0.747521 | − | 0.664238i | \(-0.768756\pi\) |
0.524341 | + | 0.851508i | \(0.324312\pi\) | |||||||
\(978\) | −15.1987 | + | 10.6352i | −0.486000 | + | 0.340076i | ||||
\(979\) | 11.4355 | + | 31.4189i | 0.365482 | + | 1.00415i | ||||
\(980\) | −20.8466 | − | 12.4849i | −0.665922 | − | 0.398815i | ||||
\(981\) | 11.3854 | − | 0.175157i | 0.363507 | − | 0.00559234i | ||||
\(982\) | −2.22051 | − | 3.91812i | −0.0708593 | − | 0.125032i | ||||
\(983\) | −24.3687 | − | 20.4478i | −0.777241 | − | 0.652183i | 0.165311 | − | 0.986241i | \(-0.447137\pi\) |
−0.942552 | + | 0.334059i | \(0.891582\pi\) | |||||||
\(984\) | −22.1508 | + | 9.89237i | −0.706142 | + | 0.315357i | ||||
\(985\) | 1.77743 | + | 10.0803i | 0.0566338 | + | 0.321186i | ||||
\(986\) | −0.651838 | − | 3.87798i | −0.0207588 | − | 0.123500i | ||||
\(987\) | 18.1696 | + | 1.44890i | 0.578345 | + | 0.0461191i | ||||
\(988\) | 57.0194 | + | 49.4214i | 1.81403 | + | 1.57231i | ||||
\(989\) | −1.94883 | + | 1.12516i | −0.0619693 | + | 0.0357780i | ||||
\(990\) | −7.35754 | + | 43.6062i | −0.233838 | + | 1.38590i | ||||
\(991\) | 1.91613 | − | 3.31884i | 0.0608679 | − | 0.105426i | −0.833986 | − | 0.551786i | \(-0.813946\pi\) |
0.894854 | + | 0.446360i | \(0.147280\pi\) | |||||||
\(992\) | 3.41708 | + | 10.7023i | 0.108492 | + | 0.339799i | ||||
\(993\) | −1.96532 | + | 4.30070i | −0.0623676 | + | 0.136479i | ||||
\(994\) | −10.7090 | − | 12.9719i | −0.339668 | − | 0.411442i | ||||
\(995\) | 9.29647 | − | 25.5418i | 0.294718 | − | 0.809731i | ||||
\(996\) | 11.7561 | + | 45.3802i | 0.372506 | + | 1.43793i | ||||
\(997\) | −9.12312 | − | 1.60865i | −0.288932 | − | 0.0509465i | 0.0273036 | − | 0.999627i | \(-0.491308\pi\) |
−0.316236 | + | 0.948681i | \(0.602419\pi\) | |||||||
\(998\) | 52.7965 | + | 0.422521i | 1.67124 | + | 0.0133747i | ||||
\(999\) | −11.6259 | + | 47.7712i | −0.367826 | + | 1.51142i |
(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 | 216.2.t.a.133.2 | yes | 204 | |
3.2 | odd | 2 | 648.2.t.a.397.33 | 204 | |||
4.3 | odd | 2 | 864.2.bf.a.241.25 | 204 | |||
8.3 | odd | 2 | 864.2.bf.a.241.10 | 204 | |||
8.5 | even | 2 | inner | 216.2.t.a.133.32 | yes | 204 | |
24.5 | odd | 2 | 648.2.t.a.397.3 | 204 | |||
27.13 | even | 9 | inner | 216.2.t.a.13.32 | yes | 204 | |
27.14 | odd | 18 | 648.2.t.a.253.3 | 204 | |||
108.67 | odd | 18 | 864.2.bf.a.337.10 | 204 | |||
216.13 | even | 18 | inner | 216.2.t.a.13.2 | ✓ | 204 | |
216.67 | odd | 18 | 864.2.bf.a.337.25 | 204 | |||
216.149 | odd | 18 | 648.2.t.a.253.33 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.t.a.13.2 | ✓ | 204 | 216.13 | even | 18 | inner | |
216.2.t.a.13.32 | yes | 204 | 27.13 | even | 9 | inner | |
216.2.t.a.133.2 | yes | 204 | 1.1 | even | 1 | trivial | |
216.2.t.a.133.32 | yes | 204 | 8.5 | even | 2 | inner | |
648.2.t.a.253.3 | 204 | 27.14 | odd | 18 | |||
648.2.t.a.253.33 | 204 | 216.149 | odd | 18 | |||
648.2.t.a.397.3 | 204 | 24.5 | odd | 2 | |||
648.2.t.a.397.33 | 204 | 3.2 | odd | 2 | |||
864.2.bf.a.241.10 | 204 | 8.3 | odd | 2 | |||
864.2.bf.a.241.25 | 204 | 4.3 | odd | 2 | |||
864.2.bf.a.337.10 | 204 | 108.67 | odd | 18 | |||
864.2.bf.a.337.25 | 204 | 216.67 | odd | 18 |