Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(7,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(114))
chi = DirichletCharacter(H, H._module([50]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.i (of order \(57\), degree \(36\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{57})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{57}]$ |
Embedding invariants
Embedding label | 505.15 | ||
Character | \(\chi\) | \(=\) | 722.505 |
Dual form | 722.2.i.a.539.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{47}{57}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.851919 | + | 0.523673i | −0.602398 | + | 0.370293i | ||||
\(3\) | 0.999511 | − | 2.66957i | 0.577068 | − | 1.54128i | −0.243601 | − | 0.969875i | \(-0.578329\pi\) |
0.820669 | − | 0.571404i | \(-0.193601\pi\) | |||||||
\(4\) | 0.451533 | − | 0.892254i | 0.225767 | − | 0.446127i | ||||
\(5\) | −2.22978 | − | 3.03373i | −0.997189 | − | 1.35672i | −0.933430 | − | 0.358759i | \(-0.883200\pi\) |
−0.0637589 | − | 0.997965i | \(-0.520309\pi\) | |||||||
\(6\) | 0.546481 | + | 2.79768i | 0.223100 | + | 1.14215i | ||||
\(7\) | 0.329755 | − | 0.504728i | 0.124636 | − | 0.190769i | −0.769397 | − | 0.638771i | \(-0.779443\pi\) |
0.894033 | + | 0.448002i | \(0.147864\pi\) | |||||||
\(8\) | 0.0825793 | + | 0.996584i | 0.0291962 | + | 0.352346i | ||||
\(9\) | −3.86528 | − | 3.36628i | −1.28843 | − | 1.12209i | ||||
\(10\) | 3.48828 | + | 1.41682i | 1.10309 | + | 0.448036i | ||||
\(11\) | −1.53065 | − | 0.525472i | −0.461508 | − | 0.158436i | 0.0841338 | − | 0.996454i | \(-0.473188\pi\) |
−0.545642 | + | 0.838019i | \(0.683714\pi\) | |||||||
\(12\) | −1.93063 | − | 2.09722i | −0.557324 | − | 0.605415i | ||||
\(13\) | −0.352191 | − | 0.427642i | −0.0976803 | − | 0.118607i | 0.720795 | − | 0.693148i | \(-0.243777\pi\) |
−0.818475 | + | 0.574542i | \(0.805180\pi\) | |||||||
\(14\) | −0.0166125 | + | 0.602671i | −0.00443988 | + | 0.161071i | ||||
\(15\) | −10.3275 | + | 2.92033i | −2.66654 | + | 0.754025i | ||||
\(16\) | −0.592235 | − | 0.805765i | −0.148059 | − | 0.201441i | ||||
\(17\) | 0.0653516 | + | 0.129138i | 0.0158501 | + | 0.0313207i | 0.900042 | − | 0.435803i | \(-0.143536\pi\) |
−0.884192 | + | 0.467124i | \(0.845290\pi\) | |||||||
\(18\) | 5.05574 | + | 0.843654i | 1.19165 | + | 0.198851i | ||||
\(19\) | 4.29040 | − | 0.769710i | 0.984286 | − | 0.176584i | ||||
\(20\) | −3.71368 | + | 0.619703i | −0.830404 | + | 0.138570i | ||||
\(21\) | −1.01781 | − | 1.38479i | −0.222105 | − | 0.302185i | ||||
\(22\) | 1.57916 | − | 0.353899i | 0.336679 | − | 0.0754515i | ||||
\(23\) | −0.881465 | − | 2.35429i | −0.183798 | − | 0.490903i | 0.811875 | − | 0.583832i | \(-0.198447\pi\) |
−0.995673 | + | 0.0929288i | \(0.970377\pi\) | |||||||
\(24\) | 2.74299 | + | 0.775645i | 0.559911 | + | 0.158328i | ||||
\(25\) | −2.73900 | + | 8.75708i | −0.547801 | + | 1.75142i | ||||
\(26\) | 0.523983 | + | 0.179884i | 0.102762 | + | 0.0352781i | ||||
\(27\) | −5.32896 | + | 2.88389i | −1.02556 | + | 0.555005i | ||||
\(28\) | −0.301450 | − | 0.522127i | −0.0569687 | − | 0.0986727i | ||||
\(29\) | 3.12000 | + | 0.172135i | 0.579369 | + | 0.0319647i | 0.342403 | − | 0.939553i | \(-0.388759\pi\) |
0.236966 | + | 0.971518i | \(0.423847\pi\) | |||||||
\(30\) | 7.26886 | − | 7.89609i | 1.32711 | − | 1.44162i | ||||
\(31\) | −1.63431 | + | 0.884446i | −0.293531 | + | 0.158851i | −0.616039 | − | 0.787716i | \(-0.711264\pi\) |
0.322508 | + | 0.946567i | \(0.395474\pi\) | |||||||
\(32\) | 0.926494 | + | 0.376309i | 0.163783 | + | 0.0665227i | ||||
\(33\) | −2.93269 | + | 3.56096i | −0.510515 | + | 0.619884i | ||||
\(34\) | −0.123301 | − | 0.0757926i | −0.0211459 | − | 0.0129983i | ||||
\(35\) | −2.26649 | + | 0.125046i | −0.383106 | + | 0.0211366i | ||||
\(36\) | −4.74888 | + | 1.92883i | −0.791480 | + | 0.321471i | ||||
\(37\) | 9.82470 | + | 3.37282i | 1.61517 | + | 0.554489i | 0.976598 | − | 0.215073i | \(-0.0689990\pi\) |
0.638572 | + | 0.769562i | \(0.279525\pi\) | |||||||
\(38\) | −3.25200 | + | 2.90250i | −0.527544 | + | 0.470847i | ||||
\(39\) | −1.49364 | + | 0.512768i | −0.239174 | + | 0.0821085i | ||||
\(40\) | 2.83923 | − | 2.47269i | 0.448922 | − | 0.390967i | ||||
\(41\) | −6.24983 | − | 6.07993i | −0.976060 | − | 0.949526i | 0.0226785 | − | 0.999743i | \(-0.492781\pi\) |
−0.998738 | + | 0.0502172i | \(0.984009\pi\) | |||||||
\(42\) | 1.59227 | + | 0.646724i | 0.245693 | + | 0.0997917i | ||||
\(43\) | −7.06304 | + | 2.86876i | −1.07710 | + | 0.437482i | −0.844756 | − | 0.535151i | \(-0.820255\pi\) |
−0.232348 | + | 0.972633i | \(0.574641\pi\) | |||||||
\(44\) | −1.15999 | + | 1.12846i | −0.174876 | + | 0.170122i | ||||
\(45\) | −1.59363 | + | 19.2323i | −0.237565 | + | 2.86698i | ||||
\(46\) | 1.98381 | + | 1.54406i | 0.292498 | + | 0.227660i | ||||
\(47\) | −0.912642 | − | 4.67222i | −0.133123 | − | 0.681513i | −0.986959 | − | 0.160972i | \(-0.948537\pi\) |
0.853837 | − | 0.520541i | \(-0.174270\pi\) | |||||||
\(48\) | −2.74299 | + | 0.775645i | −0.395917 | + | 0.111955i | ||||
\(49\) | 2.66586 | + | 6.07754i | 0.380837 | + | 0.868220i | ||||
\(50\) | −2.25244 | − | 8.89467i | −0.318543 | − | 1.25790i | ||||
\(51\) | 0.410064 | − | 0.0453859i | 0.0574205 | − | 0.00635529i | ||||
\(52\) | −0.540592 | + | 0.121149i | −0.0749666 | + | 0.0168004i | ||||
\(53\) | 1.96678 | + | 10.0688i | 0.270158 | + | 1.38306i | 0.831523 | + | 0.555490i | \(0.187469\pi\) |
−0.561365 | + | 0.827568i | \(0.689724\pi\) | |||||||
\(54\) | 3.02963 | − | 5.24748i | 0.412281 | − | 0.714091i | ||||
\(55\) | 1.81887 | + | 5.81526i | 0.245257 | + | 0.784129i | ||||
\(56\) | 0.530235 | + | 0.286949i | 0.0708556 | + | 0.0383451i | ||||
\(57\) | 2.23350 | − | 12.2229i | 0.295835 | − | 1.61896i | ||||
\(58\) | −2.74813 | + | 1.48721i | −0.360847 | + | 0.195281i | ||||
\(59\) | −1.17121 | − | 1.13937i | −0.152479 | − | 0.148334i | 0.617102 | − | 0.786883i | \(-0.288307\pi\) |
−0.769581 | + | 0.638550i | \(0.779535\pi\) | |||||||
\(60\) | −2.05752 | + | 10.5333i | −0.265624 | + | 1.35985i | ||||
\(61\) | −2.83036 | + | 1.33568i | −0.362390 | + | 0.171016i | −0.599318 | − | 0.800511i | \(-0.704561\pi\) |
0.236927 | + | 0.971527i | \(0.423860\pi\) | |||||||
\(62\) | 0.929143 | − | 1.60932i | 0.118001 | − | 0.204384i | ||||
\(63\) | −2.97365 | + | 0.840868i | −0.374645 | + | 0.105939i | ||||
\(64\) | −0.986361 | + | 0.164595i | −0.123295 | + | 0.0205743i | ||||
\(65\) | −0.512040 | + | 2.02200i | −0.0635108 | + | 0.250798i | ||||
\(66\) | 0.633632 | − | 4.56942i | 0.0779947 | − | 0.562457i | ||||
\(67\) | −0.0366102 | + | 0.0253849i | −0.00447264 | + | 0.00310126i | −0.572042 | − | 0.820224i | \(-0.693849\pi\) |
0.567570 | + | 0.823325i | \(0.307884\pi\) | |||||||
\(68\) | 0.144733 | 0.0175514 | ||||||||
\(69\) | −7.16598 | −0.862683 | ||||||||
\(70\) | 1.86538 | − | 1.29343i | 0.222956 | − | 0.154594i | ||||
\(71\) | 3.50827 | + | 1.65559i | 0.416355 | + | 0.196482i | 0.623493 | − | 0.781829i | \(-0.285713\pi\) |
−0.207138 | + | 0.978312i | \(0.566415\pi\) | |||||||
\(72\) | 3.03559 | − | 4.13007i | 0.357747 | − | 0.486733i | ||||
\(73\) | −6.38473 | − | 12.6166i | −0.747276 | − | 1.47666i | −0.874625 | − | 0.484800i | \(-0.838892\pi\) |
0.127349 | − | 0.991858i | \(-0.459353\pi\) | |||||||
\(74\) | −10.1361 | + | 2.27155i | −1.17830 | + | 0.264063i | ||||
\(75\) | 20.6400 | + | 16.0648i | 2.38330 | + | 1.85500i | ||||
\(76\) | 1.25048 | − | 4.17568i | 0.143440 | − | 0.478983i | ||||
\(77\) | −0.769959 | + | 0.599283i | −0.0877450 | + | 0.0682947i | ||||
\(78\) | 1.00394 | − | 1.21902i | 0.113674 | − | 0.138026i | ||||
\(79\) | 12.3257 | − | 5.00627i | 1.38675 | − | 0.563249i | 0.443783 | − | 0.896134i | \(-0.353636\pi\) |
0.942968 | + | 0.332885i | \(0.108022\pi\) | |||||||
\(80\) | −1.12392 | + | 3.59336i | −0.125658 | + | 0.401750i | ||||
\(81\) | 0.260327 | + | 1.87734i | 0.0289252 | + | 0.208594i | ||||
\(82\) | 8.50825 | + | 1.90674i | 0.939579 | + | 0.210565i | ||||
\(83\) | −0.865436 | − | 1.97299i | −0.0949939 | − | 0.216564i | 0.861852 | − | 0.507160i | \(-0.169305\pi\) |
−0.956846 | + | 0.290595i | \(0.906147\pi\) | |||||||
\(84\) | −1.69516 | + | 0.282872i | −0.184957 | + | 0.0308639i | ||||
\(85\) | 0.246051 | − | 0.486210i | 0.0266880 | − | 0.0527368i | ||||
\(86\) | 4.51485 | − | 6.14268i | 0.486849 | − | 0.662382i | ||||
\(87\) | 3.57800 | − | 8.15701i | 0.383602 | − | 0.874524i | ||||
\(88\) | 0.397277 | − | 1.56881i | 0.0423499 | − | 0.167236i | ||||
\(89\) | −2.38350 | + | 4.70992i | −0.252650 | + | 0.499250i | −0.982949 | − | 0.183877i | \(-0.941135\pi\) |
0.730299 | + | 0.683127i | \(0.239381\pi\) | |||||||
\(90\) | −8.71378 | − | 17.2189i | −0.918513 | − | 1.81503i | ||||
\(91\) | −0.331980 | + | 0.0367435i | −0.0348009 | + | 0.00385177i | ||||
\(92\) | −2.49864 | − | 0.276549i | −0.260501 | − | 0.0288322i | ||||
\(93\) | 0.727581 | + | 5.24693i | 0.0754466 | + | 0.544082i | ||||
\(94\) | 3.22421 | + | 3.50243i | 0.332552 | + | 0.361248i | ||||
\(95\) | −11.9018 | − | 11.2996i | −1.22109 | − | 1.15932i | ||||
\(96\) | 1.93063 | − | 2.09722i | 0.197044 | − | 0.214047i | ||||
\(97\) | −5.57839 | − | 3.86797i | −0.566400 | − | 0.392733i | 0.251703 | − | 0.967804i | \(-0.419009\pi\) |
−0.818103 | + | 0.575072i | \(0.804974\pi\) | |||||||
\(98\) | −5.45374 | − | 3.78154i | −0.550911 | − | 0.381993i | ||||
\(99\) | 4.14750 | + | 7.18369i | 0.416840 | + | 0.721988i | ||||
\(100\) | 6.57679 | + | 6.39800i | 0.657679 | + | 0.639800i | ||||
\(101\) | −6.77330 | − | 5.89887i | −0.673969 | − | 0.586960i | 0.250547 | − | 0.968105i | \(-0.419390\pi\) |
−0.924515 | + | 0.381145i | \(0.875530\pi\) | |||||||
\(102\) | −0.325574 | + | 0.253405i | −0.0322366 | + | 0.0250908i | ||||
\(103\) | −5.89357 | − | 9.02079i | −0.580711 | − | 0.888845i | 0.419107 | − | 0.907937i | \(-0.362343\pi\) |
−0.999818 | + | 0.0190924i | \(0.993922\pi\) | |||||||
\(104\) | 0.397098 | − | 0.386303i | 0.0389386 | − | 0.0378801i | ||||
\(105\) | −1.93156 | + | 6.17554i | −0.188501 | + | 0.602671i | ||||
\(106\) | −6.94831 | − | 7.54787i | −0.674879 | − | 0.733114i | ||||
\(107\) | −11.8398 | − | 6.40735i | −1.14459 | − | 0.619422i | −0.210903 | − | 0.977507i | \(-0.567640\pi\) |
−0.933689 | + | 0.358085i | \(0.883430\pi\) | |||||||
\(108\) | 0.166959 | + | 6.05696i | 0.0160656 | + | 0.582831i | ||||
\(109\) | 1.24212 | − | 6.35897i | 0.118974 | − | 0.609079i | −0.873520 | − | 0.486787i | \(-0.838169\pi\) |
0.992494 | − | 0.122292i | \(-0.0390244\pi\) | |||||||
\(110\) | −4.59483 | − | 4.00164i | −0.438099 | − | 0.381541i | ||||
\(111\) | 18.8239 | − | 22.8566i | 1.78668 | − | 2.16945i | ||||
\(112\) | −0.601985 | + | 0.0332124i | −0.0568822 | + | 0.00313828i | ||||
\(113\) | −6.75842 | − | 10.3445i | −0.635778 | − | 0.973131i | −0.999139 | − | 0.0414829i | \(-0.986792\pi\) |
0.363361 | − | 0.931649i | \(-0.381629\pi\) | |||||||
\(114\) | 4.49802 | + | 11.5825i | 0.421279 | + | 1.08480i | ||||
\(115\) | −5.17680 | + | 7.92368i | −0.482739 | + | 0.738887i | ||||
\(116\) | 1.56237 | − | 2.70611i | 0.145063 | − | 0.251256i | ||||
\(117\) | −0.0782436 | + | 2.83853i | −0.00723362 | + | 0.262422i | ||||
\(118\) | 1.59444 | + | 0.357321i | 0.146780 | + | 0.0328941i | ||||
\(119\) | 0.0867297 | + | 0.00959924i | 0.00795050 | + | 0.000879961i | ||||
\(120\) | −3.76319 | − | 10.0510i | −0.343530 | − | 0.917528i | ||||
\(121\) | −6.61378 | − | 5.14771i | −0.601253 | − | 0.467974i | ||||
\(122\) | 1.71178 | − | 2.62007i | 0.154977 | − | 0.237210i | ||||
\(123\) | −22.4776 | + | 10.6074i | −2.02674 | + | 0.956440i | ||||
\(124\) | 0.0512038 | + | 1.85758i | 0.00459824 | + | 0.166816i | ||||
\(125\) | 14.8688 | − | 5.10448i | 1.32991 | − | 0.456559i | ||||
\(126\) | 2.09297 | − | 2.27357i | 0.186457 | − | 0.202546i | ||||
\(127\) | 7.01592 | + | 12.1519i | 0.622562 | + | 1.07831i | 0.989007 | + | 0.147870i | \(0.0472417\pi\) |
−0.366444 | + | 0.930440i | \(0.619425\pi\) | |||||||
\(128\) | 0.754107 | − | 0.656752i | 0.0666542 | − | 0.0580492i | ||||
\(129\) | 0.598781 | + | 21.7227i | 0.0527198 | + | 1.91257i | ||||
\(130\) | −0.622650 | − | 1.99072i | −0.0546100 | − | 0.174598i | ||||
\(131\) | 0.307828 | − | 11.1674i | 0.0268951 | − | 0.975704i | −0.859044 | − | 0.511902i | \(-0.828941\pi\) |
0.885939 | − | 0.463802i | \(-0.153515\pi\) | |||||||
\(132\) | 1.85308 | + | 4.22459i | 0.161290 | + | 0.367704i | ||||
\(133\) | 1.02629 | − | 2.41930i | 0.0889904 | − | 0.209780i | ||||
\(134\) | 0.0178955 | − | 0.0407977i | 0.00154594 | − | 0.00352438i | ||||
\(135\) | 20.6314 | + | 9.73618i | 1.77567 | + | 0.837957i | ||||
\(136\) | −0.123301 | + | 0.0757926i | −0.0105729 | + | 0.00649916i | ||||
\(137\) | 9.73135 | − | 6.74757i | 0.831406 | − | 0.576484i | −0.0758232 | − | 0.997121i | \(-0.524158\pi\) |
0.907229 | + | 0.420637i | \(0.138194\pi\) | |||||||
\(138\) | 6.10484 | − | 3.75263i | 0.519678 | − | 0.319445i | ||||
\(139\) | 0.746919 | − | 5.38639i | 0.0633529 | − | 0.456868i | −0.932145 | − | 0.362085i | \(-0.882065\pi\) |
0.995498 | − | 0.0947828i | \(-0.0302157\pi\) | |||||||
\(140\) | −0.911823 | + | 2.07875i | −0.0770631 | + | 0.175686i | ||||
\(141\) | −13.3850 | − | 2.23357i | −1.12722 | − | 0.188100i | ||||
\(142\) | −3.85575 | + | 0.426754i | −0.323567 | + | 0.0358124i | ||||
\(143\) | 0.314367 | + | 0.839636i | 0.0262887 | + | 0.0702139i | ||||
\(144\) | −0.423272 | + | 5.10814i | −0.0352727 | + | 0.425678i | ||||
\(145\) | −6.43471 | − | 9.84905i | −0.534373 | − | 0.817919i | ||||
\(146\) | 12.0462 | + | 7.40479i | 0.996953 | + | 0.612825i | ||||
\(147\) | 18.8890 | − | 1.04213i | 1.55794 | − | 0.0859538i | ||||
\(148\) | 7.44559 | − | 7.24319i | 0.612024 | − | 0.595386i | ||||
\(149\) | 23.0493 | + | 6.51771i | 1.88827 | + | 0.533952i | 0.996710 | + | 0.0810498i | \(0.0258273\pi\) |
0.891560 | + | 0.452902i | \(0.149611\pi\) | |||||||
\(150\) | −25.9963 | − | 2.87727i | −2.12259 | − | 0.234928i | ||||
\(151\) | 4.63039 | + | 18.2850i | 0.376816 | + | 1.48801i | 0.809851 | + | 0.586636i | \(0.199548\pi\) |
−0.433035 | + | 0.901377i | \(0.642557\pi\) | |||||||
\(152\) | 1.12138 | + | 4.21219i | 0.0909559 | + | 0.341653i | ||||
\(153\) | 0.182113 | − | 0.719148i | 0.0147230 | − | 0.0581397i | ||||
\(154\) | 0.342115 | − | 0.913748i | 0.0275684 | − | 0.0736319i | ||||
\(155\) | 6.32733 | + | 2.98594i | 0.508224 | + | 0.239837i | ||||
\(156\) | −0.216910 | + | 1.56424i | −0.0173667 | + | 0.125239i | ||||
\(157\) | −1.52271 | + | 4.06697i | −0.121525 | + | 0.324580i | −0.983105 | − | 0.183043i | \(-0.941405\pi\) |
0.861580 | + | 0.507622i | \(0.169475\pi\) | |||||||
\(158\) | −7.87886 | + | 10.7196i | −0.626809 | + | 0.852804i | ||||
\(159\) | 28.8453 | + | 4.81343i | 2.28758 | + | 0.381730i | ||||
\(160\) | −0.924260 | − | 3.64982i | −0.0730692 | − | 0.288544i | ||||
\(161\) | −1.47894 | − | 0.331439i | −0.116557 | − | 0.0261210i | ||||
\(162\) | −1.20489 | − | 1.46302i | −0.0946652 | − | 0.114946i | ||||
\(163\) | 17.1456 | + | 9.27873i | 1.34295 | + | 0.726766i | 0.978847 | − | 0.204593i | \(-0.0655872\pi\) |
0.364100 | + | 0.931360i | \(0.381377\pi\) | |||||||
\(164\) | −8.24685 | + | 2.83115i | −0.643971 | + | 0.221075i | ||||
\(165\) | 17.3422 | + | 0.956798i | 1.35009 | + | 0.0744866i | ||||
\(166\) | 1.77049 | + | 1.22763i | 0.137416 | + | 0.0952824i | ||||
\(167\) | 0.00350866 | 0.000193578i | 0.000271509 | 1.49795e-5i | 0.0552235 | − | 0.998474i | \(-0.482413\pi\) | ||
−0.0549520 | + | 0.998489i | \(0.517501\pi\) | |||||||
\(168\) | 1.29601 | − | 1.12869i | 0.0999890 | − | 0.0870805i | ||||
\(169\) | 2.43340 | − | 12.4576i | 0.187185 | − | 0.958280i | ||||
\(170\) | 0.0449994 | + | 0.543061i | 0.00345129 | + | 0.0416509i | ||||
\(171\) | −19.1747 | − | 11.4675i | −1.46632 | − | 0.876945i | ||||
\(172\) | −0.629536 | + | 7.59737i | −0.0480017 | + | 0.579294i | ||||
\(173\) | −15.2476 | − | 4.31161i | −1.15925 | − | 0.327806i | −0.362426 | − | 0.932012i | \(-0.618052\pi\) |
−0.796828 | + | 0.604207i | \(0.793490\pi\) | |||||||
\(174\) | 1.22344 | + | 8.82282i | 0.0927488 | + | 0.668856i | ||||
\(175\) | 3.51674 | + | 4.27014i | 0.265841 | + | 0.322792i | ||||
\(176\) | 0.483097 | + | 1.54455i | 0.0364148 | + | 0.116425i | ||||
\(177\) | −4.21228 | + | 1.98782i | −0.316614 | + | 0.149414i | ||||
\(178\) | −0.435909 | − | 5.26064i | −0.0326728 | − | 0.394302i | ||||
\(179\) | 6.98540 | − | 5.43695i | 0.522113 | − | 0.406377i | −0.318574 | − | 0.947898i | \(-0.603204\pi\) |
0.840687 | + | 0.541521i | \(0.182151\pi\) | |||||||
\(180\) | 16.4405 | + | 10.1059i | 1.22540 | + | 0.753253i | ||||
\(181\) | −16.0345 | − | 9.85637i | −1.19184 | − | 0.732619i | −0.221684 | − | 0.975119i | \(-0.571155\pi\) |
−0.970151 | + | 0.242500i | \(0.922033\pi\) | |||||||
\(182\) | 0.263578 | − | 0.205151i | 0.0195377 | − | 0.0152068i | ||||
\(183\) | 0.736719 | + | 8.89088i | 0.0544599 | + | 0.657233i | ||||
\(184\) | 2.27346 | − | 1.07287i | 0.167601 | − | 0.0790930i | ||||
\(185\) | −11.6747 | − | 37.3261i | −0.858342 | − | 2.74427i | ||||
\(186\) | −3.36752 | − | 4.08895i | −0.246918 | − | 0.299816i | ||||
\(187\) | −0.0321717 | − | 0.232006i | −0.00235263 | − | 0.0169659i | ||||
\(188\) | −4.58089 | − | 1.29535i | −0.334096 | − | 0.0944734i | ||||
\(189\) | −0.301673 | + | 3.64065i | −0.0219435 | + | 0.264818i | ||||
\(190\) | 16.0566 | + | 3.39375i | 1.16487 | + | 0.246208i | ||||
\(191\) | 1.85632 | + | 22.4025i | 0.134319 | + | 1.62098i | 0.647058 | + | 0.762441i | \(0.275999\pi\) |
−0.512740 | + | 0.858544i | \(0.671369\pi\) | |||||||
\(192\) | −0.546481 | + | 2.79768i | −0.0394389 | + | 0.201905i | ||||
\(193\) | −0.0234667 | + | 0.0204372i | −0.00168917 | + | 0.00147110i | −0.657596 | − | 0.753371i | \(-0.728427\pi\) |
0.655907 | + | 0.754842i | \(0.272286\pi\) | |||||||
\(194\) | 6.77789 | + | 0.373947i | 0.486624 | + | 0.0268478i | ||||
\(195\) | 4.88609 | + | 3.38794i | 0.349900 | + | 0.242616i | ||||
\(196\) | 6.62643 | + | 0.365591i | 0.473317 | + | 0.0261136i | ||||
\(197\) | −8.94650 | + | 3.07134i | −0.637412 | + | 0.218824i | −0.624416 | − | 0.781092i | \(-0.714663\pi\) |
−0.0129957 | + | 0.999916i | \(0.504137\pi\) | |||||||
\(198\) | −7.29524 | − | 3.94799i | −0.518450 | − | 0.280571i | ||||
\(199\) | −3.45304 | − | 4.19280i | −0.244780 | − | 0.297220i | 0.635086 | − | 0.772441i | \(-0.280964\pi\) |
−0.879866 | + | 0.475221i | \(0.842368\pi\) | |||||||
\(200\) | −8.95336 | − | 2.00649i | −0.633098 | − | 0.141881i | ||||
\(201\) | 0.0311747 | + | 0.123106i | 0.00219889 | + | 0.00868323i | ||||
\(202\) | 8.85939 | + | 1.47837i | 0.623344 | + | 0.104018i | ||||
\(203\) | 1.11572 | − | 1.51799i | 0.0783079 | − | 0.106542i | ||||
\(204\) | 0.144662 | − | 0.386375i | 0.0101284 | − | 0.0270516i | ||||
\(205\) | −4.50909 | + | 32.5172i | −0.314929 | + | 2.27110i | ||||
\(206\) | 9.74479 | + | 4.59868i | 0.678952 | + | 0.320405i | ||||
\(207\) | −4.51808 | + | 12.0673i | −0.314028 | + | 0.838732i | ||||
\(208\) | −0.135999 | + | 0.537048i | −0.00942984 | + | 0.0372376i | ||||
\(209\) | −6.97156 | − | 1.07633i | −0.482233 | − | 0.0744514i | ||||
\(210\) | −1.58843 | − | 6.27257i | −0.109612 | − | 0.432849i | ||||
\(211\) | 22.7443 | + | 2.51734i | 1.56578 | + | 0.173301i | 0.850666 | − | 0.525706i | \(-0.176199\pi\) |
0.715115 | + | 0.699007i | \(0.246374\pi\) | |||||||
\(212\) | 9.87202 | + | 2.79154i | 0.678013 | + | 0.191724i | ||||
\(213\) | 7.92627 | − | 7.71080i | 0.543099 | − | 0.528335i | ||||
\(214\) | 13.4419 | − | 0.741609i | 0.918867 | − | 0.0506953i | ||||
\(215\) | 24.4521 | + | 15.0306i | 1.66762 | + | 1.02508i | ||||
\(216\) | −3.31410 | − | 5.07261i | −0.225496 | − | 0.345148i | ||||
\(217\) | −0.0925186 | + | 1.11653i | −0.00628057 | + | 0.0757953i | ||||
\(218\) | 2.27183 | + | 6.06780i | 0.153868 | + | 0.410963i | ||||
\(219\) | −40.0625 | + | 4.43411i | −2.70717 | + | 0.299630i | ||||
\(220\) | 6.00997 | + | 1.00289i | 0.405192 | + | 0.0676146i | ||||
\(221\) | 0.0322087 | − | 0.0734285i | 0.00216659 | − | 0.00493934i | ||||
\(222\) | −4.06706 | + | 29.3295i | −0.272963 | + | 1.96847i | ||||
\(223\) | 15.6427 | − | 9.61552i | 1.04751 | − | 0.643903i | 0.110742 | − | 0.993849i | \(-0.464677\pi\) |
0.936770 | + | 0.349946i | \(0.113800\pi\) | |||||||
\(224\) | 0.495450 | − | 0.343537i | 0.0331036 | − | 0.0229535i | ||||
\(225\) | 40.0658 | − | 24.6284i | 2.67105 | − | 1.64189i | ||||
\(226\) | 11.1748 | + | 5.27350i | 0.743335 | + | 0.350788i | ||||
\(227\) | 10.8567 | − | 24.7508i | 0.720586 | − | 1.64277i | −0.0446351 | − | 0.999003i | \(-0.514213\pi\) |
0.765221 | − | 0.643767i | \(-0.222630\pi\) | |||||||
\(228\) | −9.89741 | − | 7.51189i | −0.655472 | − | 0.497487i | ||||
\(229\) | 9.41536 | + | 21.4649i | 0.622184 | + | 1.41844i | 0.890445 | + | 0.455091i | \(0.150393\pi\) |
−0.268260 | + | 0.963346i | \(0.586449\pi\) | |||||||
\(230\) | 0.260798 | − | 9.46128i | 0.0171965 | − | 0.623859i | ||||
\(231\) | 0.830249 | + | 2.65445i | 0.0546264 | + | 0.174650i | ||||
\(232\) | 0.0861002 | + | 3.12356i | 0.00565276 | + | 0.205072i | ||||
\(233\) | 11.9764 | − | 10.4303i | 0.784601 | − | 0.683310i | −0.168587 | − | 0.985687i | \(-0.553920\pi\) |
0.953188 | + | 0.302377i | \(0.0977801\pi\) | |||||||
\(234\) | −1.41980 | − | 2.45917i | −0.0928156 | − | 0.160761i | ||||
\(235\) | −12.1392 | + | 13.1867i | −0.791877 | + | 0.860208i | ||||
\(236\) | −1.54545 | + | 0.530554i | −0.100600 | + | 0.0345361i | ||||
\(237\) | −1.04493 | − | 37.9082i | −0.0678757 | − | 2.46240i | ||||
\(238\) | −0.0789136 | + | 0.0372402i | −0.00511521 | + | 0.00241393i | ||||
\(239\) | −12.3800 | + | 18.9490i | −0.800793 | + | 1.22571i | 0.169918 | + | 0.985458i | \(0.445650\pi\) |
−0.970712 | + | 0.240248i | \(0.922771\pi\) | |||||||
\(240\) | 8.46938 | + | 6.59198i | 0.546696 | + | 0.425511i | ||||
\(241\) | −1.10310 | − | 2.94626i | −0.0710572 | − | 0.189785i | 0.896163 | − | 0.443726i | \(-0.146344\pi\) |
−0.967220 | + | 0.253940i | \(0.918273\pi\) | |||||||
\(242\) | 8.33013 | + | 0.921978i | 0.535481 | + | 0.0592670i | ||||
\(243\) | −12.4659 | − | 2.79368i | −0.799689 | − | 0.179214i | ||||
\(244\) | −0.0862366 | + | 3.12850i | −0.00552073 | + | 0.200282i | ||||
\(245\) | 12.4933 | − | 21.6391i | 0.798169 | − | 1.38247i | ||||
\(246\) | 13.5943 | − | 20.8076i | 0.866739 | − | 1.32664i | ||||
\(247\) | −1.84020 | − | 1.56367i | −0.117089 | − | 0.0994940i | ||||
\(248\) | −1.01639 | − | 1.55569i | −0.0645406 | − | 0.0987867i | ||||
\(249\) | −6.13207 | + | 0.338316i | −0.388604 | + | 0.0214399i | ||||
\(250\) | −9.99398 | + | 12.1350i | −0.632075 | + | 0.767486i | ||||
\(251\) | 6.18505 | + | 5.38657i | 0.390397 | + | 0.339997i | 0.829567 | − | 0.558407i | \(-0.188587\pi\) |
−0.439170 | + | 0.898404i | \(0.644728\pi\) | |||||||
\(252\) | −0.592434 | + | 3.03293i | −0.0373198 | + | 0.191057i | ||||
\(253\) | 0.112100 | + | 4.06677i | 0.00704766 | + | 0.255676i | ||||
\(254\) | −12.3406 | − | 6.67842i | −0.774321 | − | 0.419041i | ||||
\(255\) | −1.05204 | − | 1.14282i | −0.0658814 | − | 0.0715663i | ||||
\(256\) | −0.298515 | + | 0.954405i | −0.0186572 | + | 0.0596503i | ||||
\(257\) | 4.61783 | − | 4.49229i | 0.288052 | − | 0.280222i | −0.539049 | − | 0.842274i | \(-0.681216\pi\) |
0.827101 | + | 0.562053i | \(0.189988\pi\) | |||||||
\(258\) | −11.8857 | − | 18.1924i | −0.739971 | − | 1.13261i | ||||
\(259\) | 4.94210 | − | 3.84659i | 0.307087 | − | 0.239016i | ||||
\(260\) | 1.57294 | + | 1.36987i | 0.0975494 | + | 0.0849558i | ||||
\(261\) | −11.4802 | − | 11.1681i | −0.710608 | − | 0.691290i | ||||
\(262\) | 5.58584 | + | 9.67496i | 0.345094 | + | 0.597721i | ||||
\(263\) | −13.7704 | − | 9.54821i | −0.849122 | − | 0.588768i | 0.0633114 | − | 0.997994i | \(-0.479834\pi\) |
−0.912433 | + | 0.409226i | \(0.865799\pi\) | |||||||
\(264\) | −3.79098 | − | 2.62861i | −0.233319 | − | 0.161780i | ||||
\(265\) | 26.1606 | − | 28.4180i | 1.60703 | − | 1.74570i | ||||
\(266\) | 0.392608 | + | 2.59849i | 0.0240723 | + | 0.159324i | ||||
\(267\) | 10.1911 | + | 11.0705i | 0.623688 | + | 0.677505i | ||||
\(268\) | 0.00611910 | + | 0.0441277i | 0.000373783 | + | 0.00269553i | ||||
\(269\) | −7.34950 | − | 0.813442i | −0.448107 | − | 0.0495965i | −0.116877 | − | 0.993146i | \(-0.537288\pi\) |
−0.331230 | + | 0.943550i | \(0.607464\pi\) | |||||||
\(270\) | −22.6748 | + | 2.50965i | −1.37995 | + | 0.152732i | ||||
\(271\) | 6.16820 | + | 12.1887i | 0.374692 | + | 0.740411i | 0.999174 | − | 0.0406277i | \(-0.0129358\pi\) |
−0.624483 | + | 0.781039i | \(0.714690\pi\) | |||||||
\(272\) | 0.0653516 | − | 0.129138i | 0.00396253 | − | 0.00783016i | ||||
\(273\) | −0.233728 | + | 0.922970i | −0.0141458 | + | 0.0558607i | ||||
\(274\) | −4.75681 | + | 10.8444i | −0.287369 | + | 0.655136i | ||||
\(275\) | 8.79405 | − | 11.9647i | 0.530301 | − | 0.721501i | ||||
\(276\) | −3.23568 | + | 6.39388i | −0.194765 | + | 0.384866i | ||||
\(277\) | −10.9319 | + | 1.82422i | −0.656836 | + | 0.109606i | −0.483621 | − | 0.875278i | \(-0.660679\pi\) |
−0.173215 | + | 0.984884i | \(0.555415\pi\) | |||||||
\(278\) | 2.18439 | + | 4.97991i | 0.131011 | + | 0.298675i | ||||
\(279\) | 9.29438 | + | 2.08292i | 0.556440 | + | 0.124701i | ||||
\(280\) | −0.311784 | − | 2.24842i | −0.0186326 | − | 0.134369i | ||||
\(281\) | −4.07084 | + | 13.0152i | −0.242846 | + | 0.776421i | 0.750461 | + | 0.660915i | \(0.229832\pi\) |
−0.993307 | + | 0.115506i | \(0.963151\pi\) | |||||||
\(282\) | 12.5726 | − | 5.10656i | 0.748689 | − | 0.304091i | ||||
\(283\) | −14.8393 | + | 18.0183i | −0.882104 | + | 1.07108i | 0.114873 | + | 0.993380i | \(0.463354\pi\) |
−0.996977 | + | 0.0776989i | \(0.975243\pi\) | |||||||
\(284\) | 3.06131 | − | 2.38271i | 0.181655 | − | 0.141388i | ||||
\(285\) | −42.0611 | + | 20.4785i | −2.49149 | + | 1.21304i | ||||
\(286\) | −0.707510 | − | 0.550677i | −0.0418359 | − | 0.0325622i | ||||
\(287\) | −5.12962 | + | 1.14958i | −0.302792 | + | 0.0678573i | ||||
\(288\) | −2.31440 | − | 4.57338i | −0.136377 | − | 0.269489i | ||||
\(289\) | 10.0556 | − | 13.6811i | 0.591505 | − | 0.804772i | ||||
\(290\) | 10.6395 | + | 5.02092i | 0.624775 | + | 0.294838i | ||||
\(291\) | −15.9015 | + | 11.0258i | −0.932162 | + | 0.646347i | ||||
\(292\) | −14.1401 | −0.827487 | ||||||||
\(293\) | −5.75783 | −0.336376 | −0.168188 | − | 0.985755i | \(-0.553792\pi\) | ||||
−0.168188 | + | 0.985755i | \(0.553792\pi\) | |||||||
\(294\) | −15.5462 | + | 10.7795i | −0.906671 | + | 0.628671i | ||||
\(295\) | −0.844999 | + | 6.09369i | −0.0491977 | + | 0.354788i | ||||
\(296\) | −2.54999 | + | 10.0697i | −0.148215 | + | 0.585288i | ||||
\(297\) | 9.67217 | − | 1.61400i | 0.561236 | − | 0.0936538i | ||||
\(298\) | −23.0493 | + | 6.51771i | −1.33521 | + | 0.377561i | ||||
\(299\) | −0.696349 | + | 1.20611i | −0.0402709 | + | 0.0697512i | ||||
\(300\) | 23.6535 | − | 11.1624i | 1.36564 | − | 0.644459i | ||||
\(301\) | −0.881132 | + | 4.51090i | −0.0507876 | + | 0.260004i | ||||
\(302\) | −13.5201 | − | 13.1525i | −0.777994 | − | 0.756844i | ||||
\(303\) | −22.5175 | + | 12.1858i | −1.29359 | + | 0.700059i | ||||
\(304\) | −3.16113 | − | 3.00121i | −0.181303 | − | 0.172131i | ||||
\(305\) | 10.3632 | + | 5.60827i | 0.593394 | + | 0.321129i | ||||
\(306\) | 0.221453 | + | 0.708024i | 0.0126596 | + | 0.0404750i | ||||
\(307\) | 4.93055 | − | 8.53996i | 0.281401 | − | 0.487401i | −0.690329 | − | 0.723496i | \(-0.742534\pi\) |
0.971730 | + | 0.236095i | \(0.0758675\pi\) | |||||||
\(308\) | 0.187051 | + | 0.957596i | 0.0106582 | + | 0.0545641i | ||||
\(309\) | −29.9723 | + | 6.71696i | −1.70507 | + | 0.382115i | ||||
\(310\) | −6.95404 | + | 0.769672i | −0.394963 | + | 0.0437145i | ||||
\(311\) | −3.57963 | − | 14.1356i | −0.202982 | − | 0.801558i | −0.984165 | − | 0.177256i | \(-0.943278\pi\) |
0.781183 | − | 0.624303i | \(-0.214617\pi\) | |||||||
\(312\) | −0.634360 | − | 1.44620i | −0.0359136 | − | 0.0818747i | ||||
\(313\) | −4.13196 | + | 1.16841i | −0.233552 | + | 0.0660422i | −0.386868 | − | 0.922135i | \(-0.626443\pi\) |
0.153316 | + | 0.988177i | \(0.451005\pi\) | |||||||
\(314\) | −0.832538 | − | 4.26213i | −0.0469829 | − | 0.240526i | ||||
\(315\) | 9.18156 | + | 7.14629i | 0.517322 | + | 0.402648i | ||||
\(316\) | 1.09860 | − | 13.2582i | 0.0618012 | − | 0.745830i | ||||
\(317\) | 20.8022 | − | 20.2366i | 1.16837 | − | 1.13660i | 0.180133 | − | 0.983642i | \(-0.442347\pi\) |
0.988232 | − | 0.152961i | \(-0.0488810\pi\) | |||||||
\(318\) | −27.0945 | + | 11.0048i | −1.51938 | + | 0.617121i | ||||
\(319\) | −4.68517 | − | 1.90295i | −0.262319 | − | 0.106545i | ||||
\(320\) | 2.69871 | + | 2.62534i | 0.150862 | + | 0.146761i | ||||
\(321\) | −28.9389 | + | 25.2029i | −1.61521 | + | 1.40669i | ||||
\(322\) | 1.43351 | − | 0.492123i | 0.0798861 | − | 0.0274249i | ||||
\(323\) | 0.379784 | + | 0.503754i | 0.0211317 | + | 0.0280296i | ||||
\(324\) | 1.79261 | + | 0.615405i | 0.0995896 | + | 0.0341892i | ||||
\(325\) | 4.70955 | − | 1.91285i | 0.261239 | − | 0.106106i | ||||
\(326\) | −19.4657 | + | 1.07395i | −1.07810 | + | 0.0594807i | ||||
\(327\) | −15.7342 | − | 9.67180i | −0.870105 | − | 0.534852i | ||||
\(328\) | 5.54306 | − | 6.73056i | 0.306064 | − | 0.371633i | ||||
\(329\) | −2.65915 | − | 1.08005i | −0.146603 | − | 0.0595452i | ||||
\(330\) | −15.2752 | + | 8.26655i | −0.840875 | + | 0.455059i | ||||
\(331\) | −0.294039 | + | 0.319412i | −0.0161619 | + | 0.0175565i | −0.743752 | − | 0.668455i | \(-0.766956\pi\) |
0.727591 | + | 0.686012i | \(0.240640\pi\) | |||||||
\(332\) | −2.15119 | − | 0.118684i | −0.118062 | − | 0.00651364i | ||||
\(333\) | −26.6214 | − | 46.1096i | −1.45884 | − | 2.52679i | ||||
\(334\) | −0.00309047 | + | 0.00167248i | −0.000169103 | + | 9.15140e-5i | ||||
\(335\) | 0.158644 | + | 0.0544625i | 0.00866763 | + | 0.00297560i | ||||
\(336\) | −0.513027 | + | 1.64024i | −0.0279879 | + | 0.0894823i | ||||
\(337\) | −28.7056 | − | 8.11717i | −1.56369 | − | 0.442170i | −0.623222 | − | 0.782045i | \(-0.714177\pi\) |
−0.940471 | + | 0.339875i | \(0.889615\pi\) | |||||||
\(338\) | 4.45067 | + | 11.8872i | 0.242085 | + | 0.646579i | ||||
\(339\) | −34.3706 | + | 7.70263i | −1.86675 | + | 0.418349i | ||||
\(340\) | −0.322722 | − | 0.439080i | −0.0175021 | − | 0.0238124i | ||||
\(341\) | 2.96631 | − | 0.494990i | 0.160635 | − | 0.0268052i | ||||
\(342\) | 22.3405 | − | 0.271840i | 1.20804 | − | 0.0146994i | ||||
\(343\) | 8.10932 | + | 1.35321i | 0.437862 | + | 0.0730663i | ||||
\(344\) | −3.44222 | − | 6.80202i | −0.185592 | − | 0.366740i | ||||
\(345\) | 15.9786 | + | 21.7396i | 0.860258 | + | 1.17042i | ||||
\(346\) | 15.2476 | − | 4.31161i | 0.819716 | − | 0.231794i | ||||
\(347\) | −0.650740 | + | 23.6076i | −0.0349336 | + | 1.26732i | 0.755652 | + | 0.654973i | \(0.227320\pi\) |
−0.790586 | + | 0.612351i | \(0.790224\pi\) | |||||||
\(348\) | −5.66254 | − | 6.87565i | −0.303544 | − | 0.368573i | ||||
\(349\) | −2.73841 | − | 2.97471i | −0.146584 | − | 0.159233i | 0.658111 | − | 0.752921i | \(-0.271356\pi\) |
−0.804695 | + | 0.593688i | \(0.797671\pi\) | |||||||
\(350\) | −5.23214 | − | 1.79620i | −0.279670 | − | 0.0960107i | ||||
\(351\) | 3.11009 | + | 1.26321i | 0.166004 | + | 0.0674251i | ||||
\(352\) | −1.22040 | − | 1.06284i | −0.0650473 | − | 0.0566498i | ||||
\(353\) | −0.819044 | − | 9.88440i | −0.0435933 | − | 0.526093i | −0.983039 | − | 0.183396i | \(-0.941291\pi\) |
0.939446 | − | 0.342697i | \(-0.111341\pi\) | |||||||
\(354\) | 2.54755 | − | 3.89932i | 0.135401 | − | 0.207246i | ||||
\(355\) | −2.80006 | − | 14.3347i | −0.148612 | − | 0.760809i | ||||
\(356\) | 3.12621 | + | 4.25337i | 0.165689 | + | 0.225428i | ||||
\(357\) | 0.112313 | − | 0.221937i | 0.00594424 | − | 0.0117461i | ||||
\(358\) | −3.10381 | + | 8.28991i | −0.164042 | + | 0.438135i | ||||
\(359\) | 22.4513 | − | 13.8008i | 1.18493 | − | 0.728377i | 0.216170 | − | 0.976356i | \(-0.430644\pi\) |
0.968765 | + | 0.247979i | \(0.0797664\pi\) | |||||||
\(360\) | −19.2982 | −1.01710 | ||||||||
\(361\) | 17.8151 | − | 6.60473i | 0.937636 | − | 0.347617i | ||||
\(362\) | 18.8216 | 0.989243 | ||||||||
\(363\) | −20.3527 | + | 12.5108i | −1.06824 | + | 0.656646i | ||||
\(364\) | −0.117115 | + | 0.312801i | −0.00613851 | + | 0.0163952i | ||||
\(365\) | −24.0387 | + | 47.5017i | −1.25824 | + | 2.48635i | ||||
\(366\) | −5.28354 | − | 7.18851i | −0.276175 | − | 0.375750i | ||||
\(367\) | −2.40365 | − | 12.3053i | −0.125469 | − | 0.642333i | −0.990150 | − | 0.140011i | \(-0.955286\pi\) |
0.864681 | − | 0.502322i | \(-0.167521\pi\) | |||||||
\(368\) | −1.37497 | + | 2.10455i | −0.0716752 | + | 0.109707i | ||||
\(369\) | 3.69063 | + | 44.5393i | 0.192127 | + | 2.31862i | ||||
\(370\) | 29.4926 | + | 25.6851i | 1.53325 | + | 1.33531i | ||||
\(371\) | 5.73057 | + | 2.32756i | 0.297516 | + | 0.120841i | ||||
\(372\) | 5.01013 | + | 1.71998i | 0.259763 | + | 0.0891767i | ||||
\(373\) | −15.2150 | − | 16.5279i | −0.787804 | − | 0.855784i | 0.204595 | − | 0.978847i | \(-0.434412\pi\) |
−0.992399 | + | 0.123063i | \(0.960728\pi\) | |||||||
\(374\) | 0.148903 | + | 0.180803i | 0.00769959 | + | 0.00934909i | ||||
\(375\) | 1.23478 | − | 44.7955i | 0.0637637 | − | 2.31323i | ||||
\(376\) | 4.58089 | − | 1.29535i | 0.236242 | − | 0.0668028i | ||||
\(377\) | −1.02522 | − | 1.39487i | −0.0528017 | − | 0.0718393i | ||||
\(378\) | −1.64951 | − | 3.25952i | −0.0848416 | − | 0.167652i | ||||
\(379\) | −8.05469 | − | 1.34409i | −0.413742 | − | 0.0690413i | −0.0459370 | − | 0.998944i | \(-0.514627\pi\) |
−0.367805 | + | 0.929903i | \(0.619891\pi\) | |||||||
\(380\) | −15.4562 | + | 5.51723i | −0.792885 | + | 0.283028i | ||||
\(381\) | 39.4530 | − | 6.58354i | 2.02124 | − | 0.337285i | ||||
\(382\) | −13.3130 | − | 18.1130i | −0.681152 | − | 0.926741i | ||||
\(383\) | −5.14825 | + | 1.15375i | −0.263063 | + | 0.0589539i | −0.348217 | − | 0.937414i | \(-0.613213\pi\) |
0.0851537 | + | 0.996368i | \(0.472862\pi\) | |||||||
\(384\) | −0.999511 | − | 2.66957i | −0.0510061 | − | 0.136231i | ||||
\(385\) | 3.53490 | + | 0.999576i | 0.180155 | + | 0.0509431i | ||||
\(386\) | 0.00928936 | − | 0.0296998i | 0.000472816 | − | 0.00151168i | ||||
\(387\) | 36.9577 | + | 12.6876i | 1.87867 | + | 0.644947i | ||||
\(388\) | −5.97004 | + | 3.23083i | −0.303083 | + | 0.164020i | ||||
\(389\) | 18.4387 | + | 31.9368i | 0.934881 | + | 1.61926i | 0.774845 | + | 0.632151i | \(0.217828\pi\) |
0.160036 | + | 0.987111i | \(0.448839\pi\) | |||||||
\(390\) | −5.93673 | − | 0.327539i | −0.300618 | − | 0.0165856i | ||||
\(391\) | 0.246424 | − | 0.267688i | 0.0124622 | − | 0.0135375i | ||||
\(392\) | −5.83664 | + | 3.15863i | −0.294795 | + | 0.159535i | ||||
\(393\) | −29.5046 | − | 11.9837i | −1.48831 | − | 0.604500i | ||||
\(394\) | 6.01332 | − | 7.30157i | 0.302947 | − | 0.367848i | ||||
\(395\) | −42.6713 | − | 26.2300i | −2.14703 | − | 1.31977i | ||||
\(396\) | 8.28241 | − | 0.456953i | 0.416207 | − | 0.0229628i | ||||
\(397\) | 22.1464 | − | 8.99511i | 1.11150 | − | 0.451451i | 0.254657 | − | 0.967032i | \(-0.418038\pi\) |
0.856841 | + | 0.515580i | \(0.172424\pi\) | |||||||
\(398\) | 5.13737 | + | 1.76366i | 0.257513 | + | 0.0884044i | ||||
\(399\) | −5.43272 | − | 5.15787i | −0.271976 | − | 0.258216i | ||||
\(400\) | 8.67829 | − | 2.97926i | 0.433914 | − | 0.148963i | ||||
\(401\) | 13.1221 | − | 11.4281i | 0.655287 | − | 0.570690i | −0.263881 | − | 0.964555i | \(-0.585003\pi\) |
0.919168 | + | 0.393865i | \(0.128862\pi\) | |||||||
\(402\) | −0.0910256 | − | 0.0885511i | −0.00453995 | − | 0.00441653i | ||||
\(403\) | 0.953818 | + | 0.387407i | 0.0475130 | + | 0.0192981i | ||||
\(404\) | −8.32167 | + | 3.37997i | −0.414018 | + | 0.168160i | ||||
\(405\) | 5.11487 | − | 4.97583i | 0.254160 | − | 0.247251i | ||||
\(406\) | −0.155572 | + | 1.87747i | −0.00772090 | + | 0.0931774i | ||||
\(407\) | −13.2658 | − | 10.3252i | −0.657563 | − | 0.511802i | ||||
\(408\) | 0.0790937 | + | 0.404916i | 0.00391572 | + | 0.0200463i | ||||
\(409\) | −5.61328 | + | 1.58729i | −0.277559 | + | 0.0784862i | −0.408038 | − | 0.912965i | \(-0.633787\pi\) |
0.130479 | + | 0.991451i | \(0.458348\pi\) | |||||||
\(410\) | −13.1870 | − | 30.0633i | −0.651260 | − | 1.48472i | ||||
\(411\) | −8.28655 | − | 32.7228i | −0.408745 | − | 1.61410i | ||||
\(412\) | −10.7100 | + | 1.18538i | −0.527643 | + | 0.0583995i | ||||
\(413\) | −0.961285 | + | 0.215429i | −0.0473018 | + | 0.0106006i | ||||
\(414\) | −2.47025 | − | 12.6463i | −0.121406 | − | 0.621533i | ||||
\(415\) | −4.05580 | + | 7.02485i | −0.199091 | + | 0.344836i | ||||
\(416\) | −0.165377 | − | 0.528741i | −0.00810829 | − | 0.0259237i | ||||
\(417\) | −13.6328 | − | 7.37771i | −0.667602 | − | 0.361288i | ||||
\(418\) | 6.50285 | − | 2.73387i | 0.318065 | − | 0.133718i | ||||
\(419\) | −6.07828 | + | 3.28940i | −0.296944 | + | 0.160698i | −0.617588 | − | 0.786502i | \(-0.711890\pi\) |
0.320644 | + | 0.947200i | \(0.396101\pi\) | |||||||
\(420\) | 4.63799 | + | 4.51191i | 0.226311 | + | 0.220159i | ||||
\(421\) | −2.24014 | + | 11.4682i | −0.109178 | + | 0.558928i | 0.886234 | + | 0.463238i | \(0.153313\pi\) |
−0.995411 | + | 0.0956896i | \(0.969494\pi\) | |||||||
\(422\) | −20.6946 | + | 9.76600i | −1.00740 | + | 0.475401i | ||||
\(423\) | −12.2004 | + | 21.1317i | −0.593202 | + | 1.02746i | ||||
\(424\) | −9.87202 | + | 2.79154i | −0.479427 | + | 0.135569i | ||||
\(425\) | −1.30987 | + | 0.218579i | −0.0635382 | + | 0.0106027i | ||||
\(426\) | −2.71461 | + | 10.7198i | −0.131523 | + | 0.519374i | ||||
\(427\) | −0.259171 | + | 1.86901i | −0.0125422 | + | 0.0904476i | ||||
\(428\) | −11.0630 | + | 7.67093i | −0.534752 | + | 0.370789i | ||||
\(429\) | 2.55568 | 0.123390 | ||||||||
\(430\) | −28.7024 | −1.38415 | ||||||||
\(431\) | 16.8657 | − | 11.6944i | 0.812391 | − | 0.563300i | −0.0891372 | − | 0.996019i | \(-0.528411\pi\) |
0.901528 | + | 0.432720i | \(0.142446\pi\) | |||||||
\(432\) | 5.47974 | + | 2.58595i | 0.263644 | + | 0.124417i | ||||
\(433\) | −2.09266 | + | 2.84717i | −0.100567 | + | 0.136826i | −0.853139 | − | 0.521684i | \(-0.825304\pi\) |
0.752572 | + | 0.658510i | \(0.228813\pi\) | |||||||
\(434\) | −0.505880 | − | 0.999647i | −0.0242830 | − | 0.0479846i | ||||
\(435\) | −32.7243 | + | 7.33369i | −1.56901 | + | 0.351624i | ||||
\(436\) | −5.11296 | − | 3.97958i | −0.244866 | − | 0.190587i | ||||
\(437\) | −5.59396 | − | 9.42237i | −0.267595 | − | 0.450733i | ||||
\(438\) | 31.8080 | − | 24.7571i | 1.51984 | − | 1.18294i | ||||
\(439\) | −16.0715 | + | 19.5145i | −0.767051 | + | 0.931378i | −0.999146 | − | 0.0413150i | \(-0.986845\pi\) |
0.232096 | + | 0.972693i | \(0.425442\pi\) | |||||||
\(440\) | −5.64520 | + | 2.29288i | −0.269124 | + | 0.109309i | ||||
\(441\) | 10.1544 | − | 32.4654i | 0.483543 | − | 1.54597i | ||||
\(442\) | 0.0110133 | + | 0.0794220i | 0.000523848 | + | 0.00377772i | ||||
\(443\) | 3.21142 | + | 0.719695i | 0.152579 | + | 0.0341938i | 0.294301 | − | 0.955713i | \(-0.404913\pi\) |
−0.141722 | + | 0.989906i | \(0.545264\pi\) | |||||||
\(444\) | −11.8943 | − | 27.1162i | −0.564477 | − | 1.28688i | ||||
\(445\) | 19.6033 | − | 3.27121i | 0.929285 | − | 0.155070i | ||||
\(446\) | −8.29092 | + | 16.3833i | −0.392586 | + | 0.775772i | ||||
\(447\) | 40.4375 | − | 55.0172i | 1.91263 | − | 2.60223i | ||||
\(448\) | −0.242182 | + | 0.552120i | −0.0114420 | + | 0.0260852i | ||||
\(449\) | 0.723254 | − | 2.85607i | 0.0341325 | − | 0.134786i | −0.949989 | − | 0.312285i | \(-0.898906\pi\) |
0.984121 | + | 0.177499i | \(0.0568005\pi\) | |||||||
\(450\) | −21.2356 | + | 41.9628i | −1.00106 | + | 1.97814i | ||||
\(451\) | 6.37146 | + | 12.5903i | 0.300020 | + | 0.592856i | ||||
\(452\) | −12.2816 | + | 1.35933i | −0.577678 | + | 0.0639374i | ||||
\(453\) | 53.4413 | + | 5.91488i | 2.51089 | + | 0.277905i | ||||
\(454\) | 3.71229 | + | 26.7711i | 0.174226 | + | 1.25643i | ||||
\(455\) | 0.851712 | + | 0.925206i | 0.0399289 | + | 0.0433743i | ||||
\(456\) | 12.3656 | + | 1.21652i | 0.579071 | + | 0.0569687i | ||||
\(457\) | 24.2385 | − | 26.3300i | 1.13383 | − | 1.23167i | 0.164372 | − | 0.986398i | \(-0.447440\pi\) |
0.969456 | − | 0.245267i | \(-0.0788756\pi\) | |||||||
\(458\) | −19.2617 | − | 13.3558i | −0.900040 | − | 0.624074i | ||||
\(459\) | −0.720677 | − | 0.499707i | −0.0336383 | − | 0.0233243i | ||||
\(460\) | 4.73244 | + | 8.19682i | 0.220651 | + | 0.382179i | ||||
\(461\) | −12.3969 | − | 12.0599i | −0.577383 | − | 0.561687i | 0.349548 | − | 0.936919i | \(-0.386335\pi\) |
−0.926931 | + | 0.375231i | \(0.877563\pi\) | |||||||
\(462\) | −2.09737 | − | 1.82660i | −0.0975785 | − | 0.0849812i | ||||
\(463\) | 22.1729 | − | 17.2579i | 1.03046 | − | 0.802042i | 0.0500008 | − | 0.998749i | \(-0.484078\pi\) |
0.980462 | + | 0.196708i | \(0.0630250\pi\) | |||||||
\(464\) | −1.70907 | − | 2.61593i | −0.0793417 | − | 0.121441i | ||||
\(465\) | 14.2954 | − | 13.9068i | 0.662935 | − | 0.644913i | ||||
\(466\) | −4.74089 | + | 15.1575i | −0.219618 | + | 0.702157i | ||||
\(467\) | 10.3145 | + | 11.2045i | 0.477298 | + | 0.518484i | 0.927186 | − | 0.374601i | \(-0.122220\pi\) |
−0.449888 | + | 0.893085i | \(0.648536\pi\) | |||||||
\(468\) | 2.49736 | + | 1.35150i | 0.115441 | + | 0.0624733i | ||||
\(469\) | 0.000740087 | 0.0268490i | 3.41740e−5 | 0.00123977i | ||||||
\(470\) | 3.43612 | − | 17.5910i | 0.158497 | − | 0.811414i | ||||
\(471\) | 9.33512 | + | 8.12996i | 0.430139 | + | 0.374609i | ||||
\(472\) | 1.03876 | − | 1.26130i | 0.0478129 | − | 0.0580560i | ||||
\(473\) | 12.3185 | − | 0.679630i | 0.566405 | − | 0.0312494i | ||||
\(474\) | 20.7417 | + | 31.7475i | 0.952698 | + | 1.45821i | ||||
\(475\) | −5.01101 | + | 39.6796i | −0.229921 | + | 1.82063i | ||||
\(476\) | 0.0477263 | − | 0.0730506i | 0.00218753 | − | 0.00334827i | ||||
\(477\) | 26.2923 | − | 45.5396i | 1.20384 | − | 2.08511i | ||||
\(478\) | 0.623682 | − | 22.6260i | 0.0285266 | − | 1.03489i | ||||
\(479\) | 8.04621 | + | 1.80320i | 0.367641 | + | 0.0823902i | 0.398586 | − | 0.917131i | \(-0.369501\pi\) |
−0.0309455 | + | 0.999521i | \(0.509852\pi\) | |||||||
\(480\) | −10.6673 | − | 1.18065i | −0.486892 | − | 0.0538892i | ||||
\(481\) | −2.01781 | − | 5.38933i | −0.0920043 | − | 0.245732i | ||||
\(482\) | 2.48263 | + | 1.93231i | 0.113081 | + | 0.0880144i | ||||
\(483\) | −2.36302 | + | 3.61687i | −0.107521 | + | 0.164573i | ||||
\(484\) | −7.57941 | + | 3.57681i | −0.344519 | + | 0.162582i | ||||
\(485\) | 0.704227 | + | 25.5481i | 0.0319773 | + | 1.16008i | ||||
\(486\) | 12.0829 | − | 4.14807i | 0.548093 | − | 0.188160i | ||||
\(487\) | 14.6656 | − | 15.9311i | 0.664562 | − | 0.721907i | −0.308814 | − | 0.951123i | \(-0.599932\pi\) |
0.973376 | + | 0.229216i | \(0.0736162\pi\) | |||||||
\(488\) | −1.56485 | − | 2.71039i | −0.0708373 | − | 0.122694i | ||||
\(489\) | 41.9075 | − | 36.4972i | 1.89512 | − | 1.65046i | ||||
\(490\) | 0.688491 | + | 24.9772i | 0.0311028 | + | 1.12835i | ||||
\(491\) | 10.0917 | + | 32.2649i | 0.455431 | + | 1.45609i | 0.844836 | + | 0.535026i | \(0.179698\pi\) |
−0.389405 | + | 0.921067i | \(0.627319\pi\) | |||||||
\(492\) | −0.684857 | + | 24.8453i | −0.0308757 | + | 1.12011i | ||||
\(493\) | 0.181668 | + | 0.414161i | 0.00818190 | + | 0.0186529i | ||||
\(494\) | 2.38656 | + | 0.368458i | 0.107376 | + | 0.0165777i | ||||
\(495\) | 12.5453 | − | 28.6005i | 0.563870 | − | 1.28549i | ||||
\(496\) | 1.68055 | + | 0.793073i | 0.0754591 | + | 0.0356100i | ||||
\(497\) | 1.99249 | − | 1.22478i | 0.0893754 | − | 0.0549389i | ||||
\(498\) | 5.04686 | − | 3.49942i | 0.226155 | − | 0.156813i | ||||
\(499\) | −18.6618 | + | 11.4714i | −0.835416 | + | 0.513528i | −0.874113 | − | 0.485723i | \(-0.838557\pi\) |
0.0386969 | + | 0.999251i | \(0.487679\pi\) | |||||||
\(500\) | 2.15929 | − | 15.5716i | 0.0965662 | − | 0.696385i | ||||
\(501\) | 0.00402372 | − | 0.00917315i | 0.000179766 | − | 0.000409826i | ||||
\(502\) | −8.08997 | − | 1.34998i | −0.361073 | − | 0.0602524i | ||||
\(503\) | 27.9601 | − | 3.09462i | 1.24668 | − | 0.137982i | 0.537654 | − | 0.843166i | \(-0.319311\pi\) |
0.709025 | + | 0.705183i | \(0.249135\pi\) | |||||||
\(504\) | −1.08356 | − | 2.89406i | −0.0482655 | − | 0.128911i | ||||
\(505\) | −2.79259 | + | 33.7016i | −0.124269 | + | 1.49970i | ||||
\(506\) | −2.22516 | − | 3.40586i | −0.0989204 | − | 0.151409i | ||||
\(507\) | −30.8244 | − | 18.9477i | −1.36896 | − | 0.841496i | ||||
\(508\) | 14.0105 | − | 0.772983i | 0.621617 | − | 0.0342956i | ||||
\(509\) | −31.9921 | + | 31.1224i | −1.41802 | + | 1.37948i | −0.606619 | + | 0.794993i | \(0.707475\pi\) |
−0.811406 | + | 0.584483i | \(0.801297\pi\) | |||||||
\(510\) | 1.49472 | + | 0.422667i | 0.0661873 | + | 0.0187160i | ||||
\(511\) | −8.47333 | − | 0.937828i | −0.374838 | − | 0.0414871i | ||||
\(512\) | −0.245485 | − | 0.969400i | −0.0108490 | − | 0.0428418i | ||||
\(513\) | −20.6436 | + | 16.4748i | −0.911439 | + | 0.727380i | ||||
\(514\) | −1.58153 | + | 6.24530i | −0.0697581 | + | 0.275468i | ||||
\(515\) | −14.2252 | + | 37.9939i | −0.626839 | + | 1.67421i | ||||
\(516\) | 19.6525 | + | 9.27425i | 0.865154 | + | 0.408276i | ||||
\(517\) | −1.05819 | + | 7.63109i | −0.0465390 | + | 0.335615i | ||||
\(518\) | −2.19592 | + | 5.86503i | −0.0964830 | + | 0.257695i | ||||
\(519\) | −26.7503 | + | 36.3951i | −1.17421 | + | 1.59757i | ||||
\(520\) | −2.05738 | − | 0.343316i | −0.0902221 | − | 0.0150554i | ||||
\(521\) | 10.1579 | + | 40.1128i | 0.445027 | + | 1.75737i | 0.631961 | + | 0.775000i | \(0.282250\pi\) |
−0.186934 | + | 0.982373i | \(0.559855\pi\) | |||||||
\(522\) | 15.6287 | + | 3.50247i | 0.684048 | + | 0.153299i | ||||
\(523\) | 19.6641 | + | 23.8768i | 0.859853 | + | 1.04406i | 0.998556 | + | 0.0537273i | \(0.0171102\pi\) |
−0.138703 | + | 0.990334i | \(0.544293\pi\) | |||||||
\(524\) | −9.82520 | − | 5.31713i | −0.429216 | − | 0.232280i | ||||
\(525\) | 14.9145 | − | 5.12015i | 0.650921 | − | 0.223462i | ||||
\(526\) | 16.7314 | + | 0.923100i | 0.729526 | + | 0.0402491i | ||||
\(527\) | −0.221021 | − | 0.153253i | −0.00962783 | − | 0.00667579i | ||||
\(528\) | 4.60614 | + | 0.254128i | 0.200456 | + | 0.0110595i | ||||
\(529\) | 12.5788 | − | 10.9548i | 0.546902 | − | 0.476298i | ||||
\(530\) | −7.40499 | + | 37.9094i | −0.321652 | + | 1.64668i | ||||
\(531\) | 0.691621 | + | 8.34662i | 0.0300138 | + | 0.362212i | ||||
\(532\) | −1.69523 | − | 2.00810i | −0.0734974 | − | 0.0870624i | ||||
\(533\) | −0.398899 | + | 4.81399i | −0.0172782 | + | 0.208517i | ||||
\(534\) | −14.4794 | − | 4.09437i | −0.626583 | − | 0.177181i | ||||
\(535\) | 6.96190 | + | 50.2056i | 0.300989 | + | 2.17058i | ||||
\(536\) | −0.0283215 | − | 0.0343889i | −0.00122330 | − | 0.00148537i | ||||
\(537\) | −7.53237 | − | 24.0823i | −0.325046 | − | 1.03923i | ||||
\(538\) | 6.68716 | − | 3.15575i | 0.288304 | − | 0.136054i | ||||
\(539\) | −0.886910 | − | 10.7034i | −0.0382019 | − | 0.461028i | ||||
\(540\) | 18.0029 | − | 14.0122i | 0.774721 | − | 0.602990i | ||||
\(541\) | 12.3568 | + | 7.59570i | 0.531261 | + | 0.326565i | 0.763197 | − | 0.646166i | \(-0.223629\pi\) |
−0.231936 | + | 0.972731i | \(0.574506\pi\) | |||||||
\(542\) | −11.6377 | − | 7.15367i | −0.499882 | − | 0.307276i | ||||
\(543\) | −42.3390 | + | 32.9537i | −1.81694 | + | 1.41418i | ||||
\(544\) | 0.0119519 | + | 0.144238i | 0.000512435 | + | 0.00618417i | ||||
\(545\) | −22.0611 | + | 10.4109i | −0.944992 | + | 0.445953i | ||||
\(546\) | −0.284217 | − | 0.908693i | −0.0121634 | − | 0.0388885i | ||||
\(547\) | 1.65717 | + | 2.01219i | 0.0708555 | + | 0.0860351i | 0.806145 | − | 0.591718i | \(-0.201550\pi\) |
−0.735289 | + | 0.677753i | \(0.762954\pi\) | |||||||
\(548\) | −1.62652 | − | 11.7296i | −0.0694814 | − | 0.501063i | ||||
\(549\) | 15.4364 | + | 4.36500i | 0.658810 | + | 0.186294i | ||||
\(550\) | −1.22621 | + | 14.7982i | −0.0522859 | + | 0.630998i | ||||
\(551\) | 13.5185 | − | 1.66297i | 0.575909 | − | 0.0708447i | ||||
\(552\) | −0.591762 | − | 7.14151i | −0.0251871 | − | 0.303963i | ||||
\(553\) | 1.53766 | − | 7.87197i | 0.0653880 | − | 0.334750i | ||||
\(554\) | 8.35783 | − | 7.27884i | 0.355090 | − | 0.309248i | ||||
\(555\) | −111.314 | − | 6.14136i | −4.72501 | − | 0.260686i | ||||
\(556\) | −4.46877 | − | 3.09858i | −0.189518 | − | 0.131409i | ||||
\(557\) | −34.7044 | − | 1.91470i | −1.47047 | − | 0.0811283i | −0.697965 | − | 0.716132i | \(-0.745911\pi\) |
−0.772509 | + | 0.635003i | \(0.780999\pi\) | |||||||
\(558\) | −9.00883 | + | 3.09273i | −0.381374 | + | 0.130926i | ||||
\(559\) | 3.71435 | + | 2.01010i | 0.157100 | + | 0.0850183i | ||||
\(560\) | 1.44305 | + | 1.75220i | 0.0609801 | + | 0.0740440i | ||||
\(561\) | −0.651513 | − | 0.146007i | −0.0275069 | − | 0.00616444i | ||||
\(562\) | −3.34768 | − | 13.2197i | −0.141213 | − | 0.557639i | ||||
\(563\) | 5.03293 | + | 0.839848i | 0.212113 | + | 0.0353954i | 0.269697 | − | 0.962945i | \(-0.413077\pi\) |
−0.0575840 | + | 0.998341i | \(0.518340\pi\) | |||||||
\(564\) | −8.03669 | + | 10.9343i | −0.338406 | + | 0.460418i | ||||
\(565\) | −16.3127 | + | 43.5693i | −0.686280 | + | 1.83297i | ||||
\(566\) | 3.20615 | − | 23.1211i | 0.134765 | − | 0.971852i | ||||
\(567\) | 1.03339 | + | 0.487669i | 0.0433983 | + | 0.0204802i | ||||
\(568\) | −1.36023 | + | 3.63300i | −0.0570738 | + | 0.152437i | ||||
\(569\) | 8.87324 | − | 35.0396i | 0.371985 | − | 1.46894i | −0.446694 | − | 0.894687i | \(-0.647399\pi\) |
0.818680 | − | 0.574250i | \(-0.194706\pi\) | |||||||
\(570\) | 25.1086 | − | 39.4723i | 1.05169 | − | 1.65331i | ||||
\(571\) | −6.96876 | − | 27.5190i | −0.291633 | − | 1.15163i | −0.925670 | − | 0.378332i | \(-0.876498\pi\) |
0.634037 | − | 0.773303i | \(-0.281397\pi\) | |||||||
\(572\) | 0.891116 | + | 0.0986287i | 0.0372594 | + | 0.00412387i | ||||
\(573\) | 61.6604 | + | 17.4359i | 2.57590 | + | 0.728395i | ||||
\(574\) | 3.76802 | − | 3.66559i | 0.157274 | − | 0.152999i | ||||
\(575\) | 23.0310 | − | 1.27066i | 0.960461 | − | 0.0529901i | ||||
\(576\) | 4.36664 | + | 2.68416i | 0.181943 | + | 0.111840i | ||||
\(577\) | −0.251521 | − | 0.384982i | −0.0104710 | − | 0.0160270i | 0.831893 | − | 0.554937i | \(-0.187257\pi\) |
−0.842364 | + | 0.538910i | \(0.818836\pi\) | |||||||
\(578\) | −1.40212 | + | 16.9211i | −0.0583205 | + | 0.703823i | ||||
\(579\) | 0.0311034 | + | 0.0830734i | 0.00129261 | + | 0.00345241i | ||||
\(580\) | −11.6933 | + | 1.29422i | −0.485540 | + | 0.0537395i | ||||
\(581\) | −1.28121 | − | 0.213796i | −0.0531534 | − | 0.00886974i | ||||
\(582\) | 7.77285 | − | 17.7203i | 0.322195 | − | 0.734531i | ||||
\(583\) | 2.28044 | − | 16.4453i | 0.0944460 | − | 0.681095i | ||||
\(584\) | 12.0462 | − | 7.40479i | 0.498477 | − | 0.306412i | ||||
\(585\) | 8.78580 | − | 6.09194i | 0.363248 | − | 0.251871i | ||||
\(586\) | 4.90521 | − | 3.01522i | 0.202632 | − | 0.124558i | ||||
\(587\) | 35.0984 | + | 16.5634i | 1.44867 | + | 0.683643i | 0.979865 | − | 0.199660i | \(-0.0639838\pi\) |
0.468803 | + | 0.883303i | \(0.344686\pi\) | |||||||
\(588\) | 7.59916 | − | 17.3243i | 0.313384 | − | 0.714444i | ||||
\(589\) | −6.33110 | + | 5.05258i | −0.260868 | + | 0.208188i | ||||
\(590\) | −2.47123 | − | 5.63383i | −0.101739 | − | 0.231941i | ||||
\(591\) | −0.742959 | + | 26.9532i | −0.0305613 | + | 1.10871i | ||||
\(592\) | −3.10083 | − | 9.91390i | −0.127443 | − | 0.407459i | ||||
\(593\) | 0.793505 | + | 28.7869i | 0.0325853 | + | 1.18214i | 0.822444 | + | 0.568846i | \(0.192610\pi\) |
−0.789859 | + | 0.613289i | \(0.789846\pi\) | |||||||
\(594\) | −7.39470 | + | 6.44005i | −0.303408 | + | 0.264239i | ||||
\(595\) | −0.164267 | − | 0.284519i | −0.00673429 | − | 0.0116641i | ||||
\(596\) | 16.2230 | − | 17.6228i | 0.664519 | − | 0.721860i | ||||
\(597\) | −14.6443 | + | 5.02741i | −0.599353 | + | 0.205758i | ||||
\(598\) | −0.0383749 | − | 1.39217i | −0.00156927 | − | 0.0569300i | ||||
\(599\) | 9.79732 | − | 4.62347i | 0.400308 | − | 0.188910i | −0.216039 | − | 0.976385i | \(-0.569314\pi\) |
0.616347 | + | 0.787475i | \(0.288612\pi\) | |||||||
\(600\) | −14.3055 | + | 21.8961i | −0.584018 | + | 0.893906i | ||||
\(601\) | −35.2809 | − | 27.4602i | −1.43914 | − | 1.12013i | −0.971733 | − | 0.236082i | \(-0.924137\pi\) |
−0.467404 | − | 0.884044i | \(-0.654811\pi\) | |||||||
\(602\) | −1.61158 | − | 4.30435i | −0.0656833 | − | 0.175432i | ||||
\(603\) | 0.226961 | + | 0.0251201i | 0.00924258 | + | 0.00102297i | ||||
\(604\) | 18.4057 | + | 4.12480i | 0.748916 | + | 0.167836i | ||||
\(605\) | −0.869469 | + | 31.5427i | −0.0353489 | + | 1.28239i | ||||
\(606\) | 12.8017 | − | 22.1731i | 0.520032 | − | 0.900723i | ||||
\(607\) | 0.687264 | − | 1.05194i | 0.0278952 | − | 0.0426968i | −0.822947 | − | 0.568119i | \(-0.807671\pi\) |
0.850842 | + | 0.525422i | \(0.176092\pi\) | |||||||
\(608\) | 4.26468 | + | 0.901387i | 0.172956 | + | 0.0365561i | ||||
\(609\) | −2.93721 | − | 4.49573i | −0.119022 | − | 0.182176i | ||||
\(610\) | −11.7655 | + | 0.649120i | −0.476371 | + | 0.0262821i | ||||
\(611\) | −1.67661 | + | 2.03580i | −0.0678285 | + | 0.0823596i | ||||
\(612\) | −0.559433 | − | 0.487211i | −0.0226137 | − | 0.0196943i | ||||
\(613\) | 1.70217 | − | 8.71415i | 0.0687499 | − | 0.351961i | −0.931170 | − | 0.364584i | \(-0.881211\pi\) |
0.999920 | + | 0.0126230i | \(0.00401813\pi\) | |||||||
\(614\) | 0.271716 | + | 9.85735i | 0.0109656 | + | 0.397810i | ||||
\(615\) | 82.3002 | + | 44.5387i | 3.31867 | + | 1.79597i | ||||
\(616\) | −0.660819 | − | 0.717841i | −0.0266252 | − | 0.0289226i | ||||
\(617\) | −4.90195 | + | 15.6724i | −0.197345 | + | 0.630947i | 0.802086 | + | 0.597209i | \(0.203724\pi\) |
−0.999431 | + | 0.0337382i | \(0.989259\pi\) | |||||||
\(618\) | 22.0165 | − | 21.4180i | 0.885635 | − | 0.861559i | ||||
\(619\) | 21.2085 | + | 32.4620i | 0.852441 | + | 1.30476i | 0.950863 | + | 0.309613i | \(0.100200\pi\) |
−0.0984218 | + | 0.995145i | \(0.531379\pi\) | |||||||
\(620\) | 5.52122 | − | 4.29734i | 0.221738 | − | 0.172585i | ||||
\(621\) | 11.4868 | + | 10.0039i | 0.460950 | + | 0.401441i | ||||
\(622\) | 10.4520 | + | 10.1679i | 0.419087 | + | 0.407694i | ||||
\(623\) | 1.59126 | + | 2.75613i | 0.0637523 | + | 0.110422i | ||||
\(624\) | 1.29776 | + | 0.899845i | 0.0519519 | + | 0.0360226i | ||||
\(625\) | −10.9391 | − | 7.58498i | −0.437562 | − | 0.303399i | ||||
\(626\) | 2.90823 | − | 3.15918i | 0.116236 | − | 0.126266i | ||||
\(627\) | −9.84149 | + | 17.5353i | −0.393031 | + | 0.700292i | ||||
\(628\) | 2.94122 | + | 3.19502i | 0.117367 | + | 0.127495i | ||||
\(629\) | 0.206499 | + | 1.48916i | 0.00823367 | + | 0.0593769i | ||||
\(630\) | −11.5643 | − | 1.27993i | −0.460731 | − | 0.0509938i | ||||
\(631\) | 22.8522 | − | 2.52928i | 0.909731 | − | 0.100689i | 0.357053 | − | 0.934084i | \(-0.383782\pi\) |
0.552678 | + | 0.833395i | \(0.313606\pi\) | |||||||
\(632\) | 6.00702 | + | 11.8702i | 0.238946 | + | 0.472171i | ||||
\(633\) | 29.4534 | − | 58.2015i | 1.17067 | − | 2.31330i | ||||
\(634\) | −7.12437 | + | 28.1335i | −0.282945 | + | 1.11732i | ||||
\(635\) | 21.2217 | − | 48.3806i | 0.842157 | − | 1.91992i | ||||
\(636\) | 17.3194 | − | 23.5639i | 0.686759 | − | 0.934369i | ||||
\(637\) | 1.66012 | − | 3.28049i | 0.0657764 | − | 0.129978i | ||||
\(638\) | 4.98791 | − | 0.832335i | 0.197473 | − | 0.0329524i | ||||
\(639\) | −7.98726 | − | 18.2091i | −0.315971 | − | 0.720342i | ||||
\(640\) | −3.67390 | − | 0.823340i | −0.145224 | − | 0.0325454i | ||||
\(641\) | 4.94195 | + | 35.6388i | 0.195195 | + | 1.40765i | 0.794567 | + | 0.607176i | \(0.207698\pi\) |
−0.599372 | + | 0.800471i | \(0.704583\pi\) | |||||||
\(642\) | 11.4555 | − | 36.6253i | 0.452113 | − | 1.44549i | ||||
\(643\) | −32.2940 | + | 13.1167i | −1.27355 | + | 0.517271i | −0.910118 | − | 0.414349i | \(-0.864009\pi\) |
−0.363432 | + | 0.931621i | \(0.618395\pi\) | |||||||
\(644\) | −0.963519 | + | 1.16994i | −0.0379680 | + | 0.0461020i | ||||
\(645\) | 64.5655 | − | 50.2534i | 2.54227 | − | 1.97872i | ||||
\(646\) | −0.587347 | − | 0.230275i | −0.0231089 | − | 0.00906005i | ||||
\(647\) | 12.1927 | + | 9.48993i | 0.479343 | + | 0.373088i | 0.824871 | − | 0.565321i | \(-0.191248\pi\) |
−0.345528 | + | 0.938408i | \(0.612300\pi\) | |||||||
\(648\) | −1.84943 | + | 0.414468i | −0.0726526 | + | 0.0162818i | ||||
\(649\) | 1.19400 | + | 2.35942i | 0.0468688 | + | 0.0926152i | ||||
\(650\) | −3.01045 | + | 4.09586i | −0.118079 | + | 0.160653i | ||||
\(651\) | 2.88820 | + | 1.36297i | 0.113197 | + | 0.0534191i | ||||
\(652\) | 16.0208 | − | 11.1086i | 0.627423 | − | 0.435045i | ||||
\(653\) | −20.0028 | −0.782769 | −0.391384 | − | 0.920227i | \(-0.628004\pi\) | ||||
−0.391384 | + | 0.920227i | \(0.628004\pi\) | |||||||
\(654\) | 18.4692 | 0.722201 | ||||||||
\(655\) | −34.5654 | + | 23.9671i | −1.35058 | + | 0.936472i | ||||
\(656\) | −1.19763 | + | 8.63665i | −0.0467594 | + | 0.337204i | ||||
\(657\) | −17.7921 | + | 70.2594i | −0.694136 | + | 2.74108i | ||||
\(658\) | 2.83097 | − | 0.472406i | 0.110363 | − | 0.0184163i | ||||
\(659\) | −19.4235 | + | 5.49245i | −0.756633 | + | 0.213955i | −0.628508 | − | 0.777803i | \(-0.716334\pi\) |
−0.128124 | + | 0.991758i | \(0.540896\pi\) | |||||||
\(660\) | 8.68431 | − | 15.0417i | 0.338036 | − | 0.585496i | ||||
\(661\) | 26.5690 | − | 12.5382i | 1.03341 | − | 0.487680i | 0.166449 | − | 0.986050i | \(-0.446770\pi\) |
0.866964 | + | 0.498370i | \(0.166068\pi\) | |||||||
\(662\) | 0.0832305 | − | 0.426094i | 0.00323484 | − | 0.0165606i | ||||
\(663\) | −0.163830 | − | 0.159376i | −0.00636263 | − | 0.00618966i | ||||
\(664\) | 1.89479 | − | 1.02541i | 0.0735321 | − | 0.0397936i | ||||
\(665\) | −9.62790 | + | 2.28104i | −0.373354 | + | 0.0884548i | ||||
\(666\) | 46.8256 | + | 25.3408i | 1.81446 | + | 0.981934i | ||||
\(667\) | −2.34491 | − | 7.49711i | −0.0907954 | − | 0.290289i | ||||
\(668\) | 0.00175700 | − | 0.00304321i | 6.79804e−5 | − | 0.000117745i | ||||
\(669\) | −10.0343 | − | 51.3701i | −0.387949 | − | 1.98608i | ||||
\(670\) | −0.163672 | + | 0.0366798i | −0.00632321 | + | 0.00141706i | ||||
\(671\) | 5.03415 | − | 0.557179i | 0.194341 | − | 0.0215097i | ||||
\(672\) | −0.421891 | − | 1.66601i | −0.0162748 | − | 0.0642677i | ||||
\(673\) | −19.3863 | − | 44.1964i | −0.747288 | − | 1.70365i | −0.709856 | − | 0.704346i | \(-0.751240\pi\) |
−0.0374319 | − | 0.999299i | \(-0.511918\pi\) | |||||||
\(674\) | 28.7056 | − | 8.11717i | 1.10570 | − | 0.312662i | ||||
\(675\) | −10.6584 | − | 54.5652i | −0.410243 | − | 2.10021i | ||||
\(676\) | −10.0166 | − | 7.79625i | −0.385255 | − | 0.299856i | ||||
\(677\) | 0.973317 | − | 11.7462i | 0.0374076 | − | 0.451443i | −0.951982 | − | 0.306155i | \(-0.900958\pi\) |
0.989389 | − | 0.145288i | \(-0.0464109\pi\) | |||||||
\(678\) | 25.2473 | − | 24.5610i | 0.969617 | − | 0.943258i | ||||
\(679\) | −3.79177 | + | 1.54009i | −0.145515 | + | 0.0591031i | ||||
\(680\) | 0.504868 | + | 0.205060i | 0.0193608 | + | 0.00786367i | ||||
\(681\) | −55.2228 | − | 53.7215i | −2.11614 | − | 2.05861i | ||||
\(682\) | −2.26785 | + | 1.97507i | −0.0868403 | + | 0.0756293i | ||||
\(683\) | −11.2230 | + | 3.85287i | −0.429437 | + | 0.147426i | −0.530940 | − | 0.847409i | \(-0.678161\pi\) |
0.101503 | + | 0.994835i | \(0.467635\pi\) | |||||||
\(684\) | −18.8900 | + | 11.9307i | −0.722276 | + | 0.456182i | ||||
\(685\) | −42.1691 | − | 14.4767i | −1.61120 | − | 0.553125i | ||||
\(686\) | −7.61713 | + | 3.09381i | −0.290823 | + | 0.118122i | ||||
\(687\) | 66.7128 | − | 3.68065i | 2.54525 | − | 0.140425i | ||||
\(688\) | 6.49453 | + | 3.99217i | 0.247602 | + | 0.152200i | ||||
\(689\) | 3.61317 | − | 4.38723i | 0.137651 | − | 0.167140i | ||||
\(690\) | −24.9969 | − | 10.1529i | −0.951617 | − | 0.386513i | ||||
\(691\) | 12.6478 | − | 6.84464i | 0.481144 | − | 0.260382i | −0.217223 | − | 0.976122i | \(-0.569700\pi\) |
0.698367 | + | 0.715740i | \(0.253910\pi\) | |||||||
\(692\) | −10.7319 | + | 11.6579i | −0.407964 | + | 0.443167i | ||||
\(693\) | 4.99346 | + | 0.275497i | 0.189686 | + | 0.0104653i | ||||
\(694\) | −11.8083 | − | 20.4526i | −0.448237 | − | 0.776369i | ||||
\(695\) | −18.0063 | + | 9.74453i | −0.683018 | + | 0.369631i | ||||
\(696\) | 8.42462 | + | 2.89218i | 0.319334 | + | 0.109628i | ||||
\(697\) | 0.376715 | − | 1.20443i | 0.0142691 | − | 0.0456209i | ||||
\(698\) | 3.89068 | + | 1.10018i | 0.147265 | + | 0.0416425i | ||||
\(699\) | −15.8738 | − | 42.3971i | −0.600403 | − | 1.60361i | ||||
\(700\) | 5.39798 | − | 1.20972i | 0.204024 | − | 0.0457230i | ||||
\(701\) | 17.1267 | + | 23.3017i | 0.646866 | + | 0.880093i | 0.998427 | − | 0.0560718i | \(-0.0178576\pi\) |
−0.351560 | + | 0.936165i | \(0.614349\pi\) | |||||||
\(702\) | −3.31105 | + | 0.552517i | −0.124968 | + | 0.0208534i | ||||
\(703\) | 44.7480 | + | 6.90860i | 1.68770 | + | 0.260563i | ||||
\(704\) | 1.59626 | + | 0.266369i | 0.0601614 | + | 0.0100392i | ||||
\(705\) | 23.0697 | + | 45.5869i | 0.868854 | + | 1.71690i | ||||
\(706\) | 5.87395 | + | 7.99180i | 0.221069 | + | 0.300775i | ||||
\(707\) | −5.21086 | + | 1.47349i | −0.195974 | + | 0.0554163i | ||||
\(708\) | −0.128341 | + | 4.65599i | −0.00482337 | + | 0.174983i | ||||
\(709\) | −23.8412 | − | 28.9488i | −0.895377 | − | 1.08720i | −0.995736 | − | 0.0922444i | \(-0.970596\pi\) |
0.100360 | − | 0.994951i | \(-0.468001\pi\) | |||||||
\(710\) | 9.89214 | + | 10.7457i | 0.371245 | + | 0.403280i | ||||
\(711\) | −64.4949 | − | 22.1411i | −2.41875 | − | 0.830357i | ||||
\(712\) | −4.89066 | − | 1.98641i | −0.183285 | − | 0.0744440i | ||||
\(713\) | 3.52283 | + | 3.06804i | 0.131931 | + | 0.114899i | ||||
\(714\) | 0.0205406 | + | 0.247888i | 0.000768711 | + | 0.00927696i | ||||
\(715\) | 1.84626 | − | 2.82591i | 0.0690462 | − | 0.105683i | ||||
\(716\) | −1.69700 | − | 8.68772i | −0.0634200 | − | 0.324675i | ||||
\(717\) | 38.2117 | + | 51.9889i | 1.42704 | + | 1.94156i | ||||
\(718\) | −11.8996 | + | 23.5143i | −0.444090 | + | 0.877545i | ||||
\(719\) | −10.7129 | + | 28.6128i | −0.399522 | + | 1.06708i | 0.569908 | + | 0.821708i | \(0.306979\pi\) |
−0.969430 | + | 0.245367i | \(0.921091\pi\) | |||||||
\(720\) | 16.4405 | − | 10.1059i | 0.612702 | − | 0.376626i | ||||
\(721\) | −6.49648 | −0.241941 | ||||||||
\(722\) | −11.7183 | + | 14.9560i | −0.436110 | + | 0.556604i | ||||
\(723\) | −8.96783 | −0.333517 | ||||||||
\(724\) | −16.0345 | + | 9.85637i | −0.595918 | + | 0.366309i | ||||
\(725\) | −10.0531 | + | 26.8506i | −0.373362 | + | 0.997206i | ||||
\(726\) | 10.7873 | − | 21.3164i | 0.400356 | − | 0.791125i | ||||
\(727\) | −4.65859 | − | 6.33824i | −0.172778 | − | 0.235072i | 0.710758 | − | 0.703437i | \(-0.248352\pi\) |
−0.883535 | + | 0.468364i | \(0.844843\pi\) | |||||||
\(728\) | −0.0640327 | − | 0.327812i | −0.00237321 | − | 0.0121495i | ||||
\(729\) | −23.0276 | + | 35.2464i | −0.852876 | + | 1.30542i | ||||
\(730\) | −4.39635 | − | 53.0561i | −0.162716 | − | 1.96369i | ||||
\(731\) | −0.832049 | − | 0.724632i | −0.0307744 | − | 0.0268015i | ||||
\(732\) | 8.26558 | + | 3.35719i | 0.305505 | + | 0.124085i | ||||
\(733\) | 30.5756 | + | 10.4966i | 1.12934 | + | 0.387701i | 0.825151 | − | 0.564912i | \(-0.191090\pi\) |
0.304184 | + | 0.952613i | \(0.401616\pi\) | |||||||
\(734\) | 8.49169 | + | 9.22443i | 0.313434 | + | 0.340480i | ||||
\(735\) | −45.2799 | − | 54.9803i | −1.67017 | − | 2.02798i | ||||
\(736\) | 0.0692687 | − | 2.51294i | 0.00255328 | − | 0.0926281i | ||||
\(737\) | 0.0693764 | − | 0.0196178i | 0.00255551 | − | 0.000722630i | ||||
\(738\) | −26.4682 | − | 36.0112i | −0.974306 | − | 1.32559i | ||||
\(739\) | 15.4367 | + | 30.5038i | 0.567850 | + | 1.12210i | 0.977711 | + | 0.209954i | \(0.0673314\pi\) |
−0.409862 | + | 0.912148i | \(0.634423\pi\) | |||||||
\(740\) | −38.5759 | − | 6.43718i | −1.41808 | − | 0.236636i | ||||
\(741\) | −6.01364 | + | 3.34965i | −0.220917 | + | 0.123052i | ||||
\(742\) | −6.10086 | + | 1.01805i | −0.223970 | + | 0.0373739i | ||||
\(743\) | −11.1965 | − | 15.2334i | −0.410759 | − | 0.558858i | 0.550383 | − | 0.834912i | \(-0.314482\pi\) |
−0.961142 | + | 0.276054i | \(0.910973\pi\) | |||||||
\(744\) | −5.16893 | + | 1.15838i | −0.189502 | + | 0.0424684i | ||||
\(745\) | −31.6219 | − | 84.4583i | −1.15854 | − | 3.09431i | ||||
\(746\) | 21.6172 | + | 6.11276i | 0.791462 | + | 0.223804i | ||||
\(747\) | −3.29649 | + | 10.5395i | −0.120612 | + | 0.385619i | ||||
\(748\) | −0.221535 | − | 0.0760530i | −0.00810012 | − | 0.00278077i | ||||
\(749\) | −7.13819 | + | 3.86299i | −0.260824 | + | 0.141151i | ||||
\(750\) | 22.4062 | + | 38.8088i | 0.818160 | + | 1.41710i | ||||
\(751\) | 13.1414 | + | 0.725029i | 0.479535 | + | 0.0264567i | 0.293243 | − | 0.956038i | \(-0.405265\pi\) |
0.186292 | + | 0.982494i | \(0.440353\pi\) | |||||||
\(752\) | −3.22421 | + | 3.50243i | −0.117575 | + | 0.127720i | ||||
\(753\) | 20.5619 | − | 11.1275i | 0.749316 | − | 0.405510i | ||||
\(754\) | 1.60386 | + | 0.651432i | 0.0584092 | + | 0.0237238i | ||||
\(755\) | 45.1470 | − | 54.8190i | 1.64307 | − | 1.99507i | ||||
\(756\) | 3.11217 | + | 1.91305i | 0.113189 | + | 0.0695768i | ||||
\(757\) | −15.2380 | + | 0.840703i | −0.553834 | + | 0.0305559i | −0.329844 | − | 0.944036i | \(-0.606996\pi\) |
−0.223990 | + | 0.974591i | \(0.571908\pi\) | |||||||
\(758\) | 7.56581 | − | 3.07297i | 0.274803 | − | 0.111615i | ||||
\(759\) | 10.9686 | + | 3.76552i | 0.398135 | + | 0.136680i | ||||
\(760\) | 10.2782 | − | 12.7942i | 0.372829 | − | 0.464095i | ||||
\(761\) | −40.1289 | + | 13.7763i | −1.45467 | + | 0.499389i | −0.934899 | − | 0.354915i | \(-0.884510\pi\) |
−0.519773 | + | 0.854304i | \(0.673984\pi\) | |||||||
\(762\) | −30.1631 | + | 26.2691i | −1.09270 | + | 0.951629i | ||||
\(763\) | −2.79995 | − | 2.72384i | −0.101365 | − | 0.0986095i | ||||
\(764\) | 20.8269 | + | 8.45915i | 0.753490 | + | 0.306041i | ||||
\(765\) | −2.58777 | + | 1.05106i | −0.0935611 | + | 0.0380012i | ||||
\(766\) | 3.78171 | − | 3.67890i | 0.136639 | − | 0.132924i | ||||
\(767\) | −0.0747531 | + | 0.902136i | −0.00269918 | + | 0.0325743i | ||||
\(768\) | 2.24949 | + | 1.75085i | 0.0811713 | + | 0.0631782i | ||||
\(769\) | −4.21285 | − | 21.5674i | −0.151919 | − | 0.777742i | −0.977085 | − | 0.212851i | \(-0.931725\pi\) |
0.825166 | − | 0.564891i | \(-0.191082\pi\) | |||||||
\(770\) | −3.53490 | + | 0.999576i | −0.127389 | + | 0.0360222i | ||||
\(771\) | −7.37694 | − | 16.8177i | −0.265674 | − | 0.605676i | ||||
\(772\) | 0.00763917 | + | 0.0301664i | 0.000274940 | + | 0.00108571i | ||||
\(773\) | 29.7033 | − | 3.28756i | 1.06835 | − | 0.118245i | 0.441407 | − | 0.897307i | \(-0.354480\pi\) |
0.626947 | + | 0.779062i | \(0.284304\pi\) | |||||||
\(774\) | −38.1291 | + | 8.54494i | −1.37052 | + | 0.307142i | ||||
\(775\) | −3.26878 | − | 16.7343i | −0.117418 | − | 0.601115i | ||||
\(776\) | 3.39410 | − | 5.87875i | 0.121841 | − | 0.211035i | ||||
\(777\) | −5.32908 | − | 17.0380i | −0.191180 | − | 0.611235i | ||||
\(778\) | −32.4328 | − | 17.5517i | −1.16277 | − | 0.629260i | ||||
\(779\) | −31.4941 | − | 21.2748i | −1.12839 | − | 0.762248i | ||||
\(780\) | 5.22914 | − | 2.82987i | 0.187233 | − | 0.101326i | ||||
\(781\) | −4.49995 | − | 4.37762i | −0.161021 | − | 0.156644i | ||||
\(782\) | −0.0697525 | + | 0.357094i | −0.00249434 | + | 0.0127696i | ||||
\(783\) | −17.1228 | + | 8.08043i | −0.611918 | + | 0.288771i | ||||
\(784\) | 3.31826 | − | 5.74739i | 0.118509 | − | 0.205264i | ||||
\(785\) | 15.7334 | − | 4.44898i | 0.561549 | − | 0.158791i | ||||
\(786\) | 31.4111 | − | 5.24159i | 1.12040 | − | 0.186961i | ||||
\(787\) | 10.9699 | − | 43.3193i | 0.391036 | − | 1.54417i | −0.390677 | − | 0.920528i | \(-0.627759\pi\) |
0.781713 | − | 0.623638i | \(-0.214346\pi\) | |||||||
\(788\) | −1.29923 | + | 9.36937i | −0.0462831 | + | 0.333770i | ||||
\(789\) | −39.2534 | + | 27.2177i | −1.39746 | + | 0.968975i | ||||
\(790\) | 50.0884 | 1.78207 | ||||||||
\(791\) | −7.44979 | −0.264884 | ||||||||
\(792\) | −6.81665 | + | 4.72656i | −0.242219 | + | 0.167951i | ||||
\(793\) | 1.56802 | + | 0.739967i | 0.0556820 | + | 0.0262770i | ||||
\(794\) | −14.1565 | + | 19.2606i | −0.502395 | + | 0.683533i | ||||
\(795\) | −49.7161 | − | 98.2416i | −1.76325 | − | 3.48427i | ||||
\(796\) | −5.30021 | + | 1.18780i | −0.187861 | + | 0.0421006i | ||||
\(797\) | 20.3628 | + | 15.8490i | 0.721288 | + | 0.561401i | 0.906963 | − | 0.421210i | \(-0.138395\pi\) |
−0.185675 | + | 0.982611i | \(0.559447\pi\) | |||||||
\(798\) | 7.32927 | + | 1.54912i | 0.259453 | + | 0.0548383i | ||||
\(799\) | 0.543720 | − | 0.423194i | 0.0192354 | − | 0.0149715i | ||||
\(800\) | −5.83304 | + | 7.08267i | −0.206229 | + | 0.250410i | ||||
\(801\) | 25.0678 | − | 10.1816i | 0.885726 | − | 0.359751i | ||||
\(802\) | −5.19442 | + | 16.6075i | −0.183421 | + | 0.586431i | ||||
\(803\) | 3.14312 | + | 22.6665i | 0.110918 | + | 0.799884i | ||||
\(804\) | 0.123918 | + | 0.0277707i | 0.00437026 | + | 0.000979399i | ||||
\(805\) | 2.29222 | + | 5.22575i | 0.0807903 | + | 0.184183i | ||||
\(806\) | −1.01545 | + | 0.169449i | −0.0357677 | + | 0.00596858i | ||||
\(807\) | −9.51745 | + | 18.8070i | −0.335030 | + | 0.662037i | ||||
\(808\) | 5.31939 | − | 7.23729i | 0.187136 | − | 0.254607i | ||||
\(809\) | −10.8822 | + | 24.8089i | −0.382598 | + | 0.872235i | 0.613960 | + | 0.789337i | \(0.289575\pi\) |
−0.996558 | + | 0.0828979i | \(0.973582\pi\) | |||||||
\(810\) | −1.75176 | + | 6.91752i | −0.0615504 | + | 0.243057i | ||||
\(811\) | −6.79187 | + | 13.4211i | −0.238495 | + | 0.471278i | −0.979824 | − | 0.199863i | \(-0.935950\pi\) |
0.741329 | + | 0.671142i | \(0.234196\pi\) | |||||||
\(812\) | −0.850647 | − | 1.68092i | −0.0298519 | − | 0.0589889i | ||||
\(813\) | 38.7038 | − | 4.28374i | 1.35740 | − | 0.150237i | ||||
\(814\) | 16.7085 | + | 1.84929i | 0.585631 | + | 0.0648176i | ||||
\(815\) | −10.0818 | − | 72.7046i | −0.353150 | − | 2.54673i | ||||
\(816\) | −0.279425 | − | 0.303536i | −0.00978182 | − | 0.0106259i | ||||
\(817\) | −28.0952 | + | 17.7446i | −0.982926 | + | 0.620806i | ||||
\(818\) | 3.95085 | − | 4.29176i | 0.138138 | − | 0.150058i | ||||
\(819\) | 1.40688 | + | 0.975512i | 0.0491605 | + | 0.0340871i | ||||
\(820\) | 26.9776 | + | 18.7059i | 0.942099 | + | 0.653237i | ||||
\(821\) | 10.3588 | + | 17.9419i | 0.361524 | + | 0.626178i | 0.988212 | − | 0.153092i | \(-0.0489232\pi\) |
−0.626688 | + | 0.779270i | \(0.715590\pi\) | |||||||
\(822\) | 24.1955 | + | 23.5378i | 0.843916 | + | 0.820974i | ||||
\(823\) | 17.7410 | + | 15.4506i | 0.618411 | + | 0.538575i | 0.908211 | − | 0.418512i | \(-0.137448\pi\) |
−0.289800 | + | 0.957087i | \(0.593589\pi\) | |||||||
\(824\) | 8.50329 | − | 6.61838i | 0.296226 | − | 0.230562i | ||||
\(825\) | −23.1510 | − | 35.4353i | −0.806015 | − | 1.23370i | ||||
\(826\) | 0.706123 | − | 0.686927i | 0.0245692 | − | 0.0239013i | ||||
\(827\) | 6.15320 | − | 19.6729i | 0.213968 | − | 0.684093i | −0.784023 | − | 0.620732i | \(-0.786835\pi\) |
0.997991 | − | 0.0633614i | \(-0.0201821\pi\) | |||||||
\(828\) | 8.72699 | + | 9.48004i | 0.303284 | + | 0.329454i | ||||
\(829\) | 22.4877 | + | 12.1697i | 0.781029 | + | 0.422672i | 0.816969 | − | 0.576682i | \(-0.195653\pi\) |
−0.0359394 | + | 0.999354i | \(0.511442\pi\) | |||||||
\(830\) | −0.223510 | − | 8.10851i | −0.00775813 | − | 0.281451i | ||||
\(831\) | −6.05669 | + | 31.0069i | −0.210104 | + | 1.07562i | ||||
\(832\) | 0.417775 | + | 0.363841i | 0.0144838 | + | 0.0126139i | ||||
\(833\) | −0.610626 | + | 0.741442i | −0.0211569 | + | 0.0256894i | ||||
\(834\) | 15.4776 | − | 0.853921i | 0.535944 | − | 0.0295689i | ||||
\(835\) | −0.00723629 | − | 0.0110760i | −0.000250422 | − | 0.000383300i | ||||
\(836\) | −4.10825 | + | 5.73440i | −0.142087 | + | 0.198328i | ||||
\(837\) | 6.15855 | − | 9.42636i | 0.212871 | − | 0.325823i | ||||
\(838\) | 3.45564 | − | 5.98534i | 0.119373 | − | 0.206760i | ||||
\(839\) | 0.124115 | − | 4.50267i | 0.00428493 | − | 0.155449i | −0.994452 | − | 0.105196i | \(-0.966453\pi\) |
0.998736 | − | 0.0502537i | \(-0.0160030\pi\) | |||||||
\(840\) | −6.31396 | − | 1.41499i | −0.217852 | − | 0.0488218i | ||||
\(841\) | −19.1192 | − | 2.11612i | −0.659284 | − | 0.0729695i | ||||
\(842\) | −4.09719 | − | 10.9431i | −0.141199 | − | 0.377125i | ||||
\(843\) | 30.6762 | + | 23.8762i | 1.05654 | + | 0.822341i | ||||
\(844\) | 12.5159 | − | 19.1570i | 0.430815 | − | 0.659412i | ||||
\(845\) | −43.2191 | + | 20.3956i | −1.48678 | + | 0.701629i | ||||
\(846\) | −0.672346 | − | 24.3915i | −0.0231157 | − | 0.838596i | ||||
\(847\) | −4.77912 | + | 1.64067i | −0.164213 | + | 0.0563742i | ||||
\(848\) | 6.94831 | − | 7.54787i | 0.238606 | − | 0.259195i | ||||
\(849\) | 33.2693 | + | 57.6241i | 1.14180 | + | 1.97765i | ||||
\(850\) | 1.00144 | − | 0.872157i | 0.0343492 | − | 0.0299147i | ||||
\(851\) | −0.719530 | − | 26.1032i | −0.0246652 | − | 0.894806i | ||||
\(852\) | −3.30101 | − | 10.5539i | −0.113091 | − | 0.361572i | ||||
\(853\) | 0.363510 | − | 13.1875i | 0.0124464 | − | 0.451531i | −0.967569 | − | 0.252608i | \(-0.918712\pi\) |
0.980015 | − | 0.198923i | \(-0.0637444\pi\) | |||||||
\(854\) | −0.757956 | − | 1.72796i | −0.0259367 | − | 0.0591297i | ||||
\(855\) | 7.96596 | + | 83.7409i | 0.272430 | + | 2.86388i | ||||
\(856\) | 5.40775 | − | 12.3284i | 0.184833 | − | 0.421377i | ||||
\(857\) | −17.2731 | − | 8.15135i | −0.590037 | − | 0.278445i | 0.108411 | − | 0.994106i | \(-0.465424\pi\) |
−0.698448 | + | 0.715661i | \(0.746125\pi\) | |||||||
\(858\) | −2.17724 | + | 1.33834i | −0.0743296 | + | 0.0456903i | ||||
\(859\) | 30.3902 | − | 21.0721i | 1.03690 | − | 0.718970i | 0.0763506 | − | 0.997081i | \(-0.475673\pi\) |
0.960549 | + | 0.278111i | \(0.0897083\pi\) | |||||||
\(860\) | 24.4521 | − | 15.0306i | 0.833809 | − | 0.512541i | ||||
\(861\) | −2.05824 | + | 14.8429i | −0.0701445 | + | 0.505845i | ||||
\(862\) | −8.24416 | + | 18.7948i | −0.280797 | + | 0.640153i | ||||
\(863\) | −8.92933 | − | 1.49004i | −0.303958 | − | 0.0507216i | 0.0106501 | − | 0.999943i | \(-0.496610\pi\) |
−0.314608 | + | 0.949222i | \(0.601873\pi\) | |||||||
\(864\) | −6.02249 | + | 0.666569i | −0.204889 | + | 0.0226771i | ||||
\(865\) | 20.9186 | + | 55.8710i | 0.711253 | + | 1.89967i | ||||
\(866\) | 0.291794 | − | 3.52143i | 0.00991557 | − | 0.119663i | ||||
\(867\) | −26.4721 | − | 40.5186i | −0.899040 | − | 1.37608i | ||||
\(868\) | 0.954457 | + | 0.586703i | 0.0323964 | + | 0.0199140i | ||||
\(869\) | −21.4970 | + | 1.18602i | −0.729235 | + | 0.0402330i | ||||
\(870\) | 24.0380 | − | 23.3846i | 0.814965 | − | 0.792811i | ||||
\(871\) | 0.0237494 | + | 0.00671570i | 0.000804719 | + | 0.000227553i | ||||
\(872\) | 6.43983 | + | 0.712760i | 0.218080 | + | 0.0241371i | ||||
\(873\) | 8.54140 | + | 33.7292i | 0.289083 | + | 1.14156i | ||||
\(874\) | 9.69984 | + | 5.09770i | 0.328102 | + | 0.172432i | ||||
\(875\) | 2.32670 | − | 9.18795i | 0.0786570 | − | 0.310609i | ||||
\(876\) | −14.1332 | + | 37.7481i | −0.477516 | + | 1.27539i | ||||
\(877\) | 3.57993 | + | 1.68941i | 0.120886 | + | 0.0570474i | 0.486265 | − | 0.873811i | \(-0.338359\pi\) |
−0.365379 | + | 0.930859i | \(0.619061\pi\) | |||||||
\(878\) | 3.47238 | − | 25.0410i | 0.117187 | − | 0.845093i | ||||
\(879\) | −5.75501 | + | 15.3710i | −0.194112 | + | 0.518449i | ||||
\(880\) | 3.60853 | − | 4.90959i | 0.121644 | − | 0.165502i | ||||
\(881\) | −37.9615 | − | 6.33465i | −1.27895 | − | 0.213420i | −0.514160 | − | 0.857694i | \(-0.671896\pi\) |
−0.764794 | + | 0.644275i | \(0.777159\pi\) | |||||||
\(882\) | 8.35053 | + | 32.9755i | 0.281177 | + | 1.11034i | ||||
\(883\) | −25.4582 | − | 5.70531i | −0.856735 | − | 0.191999i | −0.231885 | − | 0.972743i | \(-0.574489\pi\) |
−0.624850 | + | 0.780744i | \(0.714840\pi\) | |||||||
\(884\) | −0.0509736 | − | 0.0618938i | −0.00171443 | − | 0.00208171i | ||||
\(885\) | 15.4230 | + | 8.34649i | 0.518437 | + | 0.280564i | ||||
\(886\) | −3.11275 | + | 1.06861i | −0.104575 | + | 0.0359006i | ||||
\(887\) | 51.1804 | + | 2.82370i | 1.71847 | + | 0.0948105i | 0.887295 | − | 0.461203i | \(-0.152582\pi\) |
0.831173 | + | 0.556013i | \(0.187670\pi\) | |||||||
\(888\) | 24.3330 | + | 16.8721i | 0.816561 | + | 0.566191i | ||||
\(889\) | 8.44695 | + | 0.466031i | 0.283302 | + | 0.0156302i | ||||
\(890\) | −14.9874 | + | 13.0525i | −0.502378 | + | 0.437521i | ||||
\(891\) | 0.588022 | − | 3.01035i | 0.0196995 | − | 0.100850i | ||||
\(892\) | −1.51630 | − | 18.2990i | −0.0507694 | − | 0.612695i | ||||
\(893\) | −7.51185 | − | 19.3432i | −0.251375 | − | 0.647296i | ||||
\(894\) | −5.63847 | + | 68.0463i | −0.188579 | + | 2.27581i | ||||
\(895\) | −32.0702 | − | 9.06858i | −1.07199 | − | 0.303129i | ||||
\(896\) | −0.0828105 | − | 0.597186i | −0.00276650 | − | 0.0199506i | ||||
\(897\) | 2.52380 | + | 3.06448i | 0.0842671 | + | 0.102320i | ||||
\(898\) | 0.879490 | + | 2.81189i | 0.0293490 | + | 0.0938339i | ||||
\(899\) | −5.25130 | + | 2.47815i | −0.175141 | + | 0.0826509i | ||||
\(900\) | −3.88371 | − | 46.8694i | −0.129457 | − | 1.56231i | ||||
\(901\) | −1.17174 | + | 0.912001i | −0.0390363 | + | 0.0303832i | ||||
\(902\) | −12.0212 | − | 7.38940i | −0.400262 | − | 0.246040i | ||||
\(903\) | 11.1615 | + | 6.86094i | 0.371431 | + | 0.228318i | ||||
\(904\) | 9.75109 | − | 7.58958i | 0.324316 | − | 0.252426i | ||||
\(905\) | 5.85190 | + | 70.6219i | 0.194524 | + | 2.34755i | ||||
\(906\) | −48.6252 | + | 22.9468i | −1.61546 | + | 0.762355i | ||||
\(907\) | 7.62306 | + | 24.3723i | 0.253119 | + | 0.809268i | 0.990944 | + | 0.134275i | \(0.0428707\pi\) |
−0.737825 | + | 0.674992i | \(0.764147\pi\) | |||||||
\(908\) | −17.1819 | − | 20.8628i | −0.570200 | − | 0.692356i | ||||
\(909\) | 6.32348 | + | 45.6016i | 0.209737 | + | 1.51251i | ||||
\(910\) | −1.21010 | − | 0.342182i | −0.0401143 | − | 0.0113432i | ||||
\(911\) | 2.69213 | − | 32.4892i | 0.0891943 | − | 1.07641i | −0.794160 | − | 0.607709i | \(-0.792089\pi\) |
0.883354 | − | 0.468706i | \(-0.155280\pi\) | |||||||
\(912\) | −11.1715 | + | 5.43914i | −0.369926 | + | 0.180108i | ||||
\(913\) | 0.287924 | + | 3.47472i | 0.00952889 | + | 0.114997i | ||||
\(914\) | −6.86092 | + | 35.1241i | −0.226939 | + | 1.16180i | ||||
\(915\) | 25.3298 | − | 22.0597i | 0.837377 | − | 0.729272i | ||||
\(916\) | 23.4035 | + | 1.29120i | 0.773272 | + | 0.0426626i | ||||
\(917\) | −5.53501 | − | 3.83789i | −0.182782 | − | 0.126738i | ||||
\(918\) | 0.875642 | + | 0.0483105i | 0.0289005 | + | 0.00159448i | ||||
\(919\) | 36.5713 | − | 12.5549i | 1.20638 | − | 0.414149i | 0.353088 | − | 0.935590i | \(-0.385132\pi\) |
0.853288 | + | 0.521441i | \(0.174605\pi\) | |||||||
\(920\) | −8.32411 | − | 4.50478i | −0.274438 | − | 0.148518i | ||||
\(921\) | −17.8699 | − | 21.6982i | −0.588834 | − | 0.714981i | ||||
\(922\) | 16.8767 | + | 3.78215i | 0.555803 | + | 0.124558i | ||||
\(923\) | −0.527580 | − | 2.08337i | −0.0173655 | − | 0.0685749i | ||||
\(924\) | 2.74333 | + | 0.457781i | 0.0902490 | + | 0.0150599i | ||||
\(925\) | −56.4460 | + | 76.7975i | −1.85593 | + | 2.52509i | ||||
\(926\) | −9.85206 | + | 26.3137i | −0.323759 | + | 0.864721i | ||||
\(927\) | −7.58614 | + | 54.7073i | −0.249162 | + | 1.79682i | ||||
\(928\) | 2.82588 | + | 1.33357i | 0.0927642 | + | 0.0437765i | ||||
\(929\) | −8.88772 | + | 23.7381i | −0.291597 | + | 0.778820i | 0.705913 | + | 0.708298i | \(0.250537\pi\) |
−0.997510 | + | 0.0705222i | \(0.977533\pi\) | |||||||
\(930\) | −4.89593 | + | 19.3336i | −0.160544 | + | 0.633974i | ||||
\(931\) | 16.1155 | + | 24.0232i | 0.528165 | + | 0.787327i | ||||
\(932\) | −3.89870 | − | 15.3956i | −0.127706 | − | 0.504301i | ||||
\(933\) | −41.3140 | − | 4.57263i | −1.35256 | − | 0.149701i | ||||
\(934\) | −14.6546 | − | 4.14394i | −0.479515 | − | 0.135594i | ||||
\(935\) | −0.632107 | + | 0.614923i | −0.0206721 | + | 0.0201101i | ||||
\(936\) | −2.83530 | + | 0.156428i | −0.0926746 | + | 0.00511300i | ||||
\(937\) | −13.7587 | − | 8.45743i | −0.449477 | − | 0.276292i | 0.280384 | − | 0.959888i | \(-0.409538\pi\) |
−0.729861 | + | 0.683596i | \(0.760415\pi\) | |||||||
\(938\) | −0.0146906 | − | 0.0224856i | −0.000479664 | − | 0.000734181i | ||||
\(939\) | −1.01079 | + | 12.1984i | −0.0329858 | + | 0.398080i | ||||
\(940\) | 6.28465 | + | 16.7855i | 0.204983 | + | 0.547484i | ||||
\(941\) | 3.75531 | − | 0.415637i | 0.122420 | − | 0.0135494i | −0.0485897 | − | 0.998819i | \(-0.515473\pi\) |
0.171009 | + | 0.985269i | \(0.445297\pi\) | |||||||
\(942\) | −12.2102 | − | 2.03752i | −0.397830 | − | 0.0663861i | ||||
\(943\) | −8.80490 | + | 20.0732i | −0.286727 | + | 0.653672i | ||||
\(944\) | −0.224434 | + | 1.61850i | −0.00730469 | + | 0.0526776i | ||||
\(945\) | 11.7174 | − | 7.20267i | 0.381168 | − | 0.234303i | ||||
\(946\) | −10.1385 | + | 7.02985i | −0.329630 | + | 0.228560i | ||||
\(947\) | 8.35600 | − | 5.13642i | 0.271534 | − | 0.166911i | −0.381213 | − | 0.924487i | \(-0.624494\pi\) |
0.652747 | + | 0.757576i | \(0.273616\pi\) | |||||||
\(948\) | −34.2956 | − | 16.1845i | −1.11387 | − | 0.525647i | ||||
\(949\) | −3.14673 | + | 7.17382i | −0.102147 | + | 0.232872i | ||||
\(950\) | −16.5102 | − | 36.4280i | −0.535661 | − | 1.18188i | ||||
\(951\) | −33.2313 | − | 75.7596i | −1.07760 | − | 2.45667i | ||||
\(952\) | −0.00240437 | + | 0.0872262i | −7.79262e−5 | + | 0.00282702i | ||||
\(953\) | 3.53334 | + | 11.2967i | 0.114456 | + | 0.365937i | 0.993931 | − | 0.110009i | \(-0.0350881\pi\) |
−0.879474 | + | 0.475946i | \(0.842106\pi\) | |||||||
\(954\) | 1.44893 | + | 52.5646i | 0.0469110 | + | 1.70184i | ||||
\(955\) | 63.8238 | − | 55.5842i | 2.06529 | − | 1.79866i | ||||
\(956\) | 11.3173 | + | 19.6022i | 0.366028 | + | 0.633979i | ||||
\(957\) | −9.76294 | + | 10.6054i | −0.315591 | + | 0.342823i | ||||
\(958\) | −7.79901 | + | 2.67740i | −0.251974 | + | 0.0865029i | ||||
\(959\) | −0.196723 | − | 7.13673i | −0.00635250 | − | 0.230457i | ||||
\(960\) | 9.70593 | − | 4.58034i | 0.313258 | − | 0.147830i | ||||
\(961\) | −15.0667 | + | 23.0612i | −0.486021 | + | 0.743911i | ||||
\(962\) | 4.54126 | + | 3.53461i | 0.146416 | + | 0.113960i | ||||
\(963\) | 24.1951 | + | 64.6221i | 0.779675 | + | 2.08242i | ||||
\(964\) | −3.12690 | − | 0.346085i | −0.100711 | − | 0.0111467i | ||||
\(965\) | 0.114327 | + | 0.0256212i | 0.00368031 | + | 0.000824776i | ||||
\(966\) | 0.119045 | − | 4.31873i | 0.00383021 | − | 0.138953i | ||||
\(967\) | 11.2258 | − | 19.4437i | 0.360999 | − | 0.625268i | −0.627127 | − | 0.778917i | \(-0.715769\pi\) |
0.988126 | + | 0.153649i | \(0.0491025\pi\) | |||||||
\(968\) | 4.58397 | − | 7.01629i | 0.147334 | − | 0.225512i | ||||
\(969\) | 1.72441 | − | 0.510354i | 0.0553959 | − | 0.0163949i | ||||
\(970\) | −13.9788 | − | 21.3961i | −0.448831 | − | 0.686987i | ||||
\(971\) | 15.0403 | − | 0.829794i | 0.482665 | − | 0.0266294i | 0.187878 | − | 0.982192i | \(-0.439839\pi\) |
0.294787 | + | 0.955563i | \(0.404751\pi\) | |||||||
\(972\) | −8.12145 | + | 9.86133i | −0.260496 | + | 0.316302i | ||||
\(973\) | −2.47236 | − | 2.15318i | −0.0792602 | − | 0.0690278i | ||||
\(974\) | −4.15123 | + | 21.2520i | −0.133014 | + | 0.680957i | ||||
\(975\) | −0.399260 | − | 14.4844i | −0.0127866 | − | 0.463872i | ||||
\(976\) | 2.75248 | + | 1.48957i | 0.0881048 | + | 0.0476799i | ||||
\(977\) | −24.6498 | − | 26.7768i | −0.788618 | − | 0.856667i | 0.203872 | − | 0.978998i | \(-0.434647\pi\) |
−0.992489 | + | 0.122330i | \(0.960963\pi\) | |||||||
\(978\) | −16.5892 | + | 53.0385i | −0.530463 | + | 1.69598i | ||||
\(979\) | 6.12322 | − | 5.95676i | 0.195699 | − | 0.190379i | ||||
\(980\) | −13.6664 | − | 20.9180i | −0.436557 | − | 0.668201i | ||||
\(981\) | −26.2072 | + | 20.3979i | −0.836733 | + | 0.651255i | ||||
\(982\) | −25.4935 | − | 22.2023i | −0.813531 | − | 0.708505i | ||||
\(983\) | 40.3568 | + | 39.2597i | 1.28718 | + | 1.25219i | 0.950557 | + | 0.310550i | \(0.100513\pi\) |
0.336624 | + | 0.941639i | \(0.390715\pi\) | |||||||
\(984\) | −12.4274 | − | 21.5249i | −0.396171 | − | 0.686188i | ||||
\(985\) | 29.2664 | + | 20.2928i | 0.932504 | + | 0.646584i | ||||
\(986\) | −0.371651 | − | 0.257697i | −0.0118358 | − | 0.00820675i | ||||
\(987\) | −5.54112 | + | 6.01926i | −0.176376 | + | 0.191595i | ||||
\(988\) | −2.22611 | + | 0.935879i | −0.0708218 | + | 0.0297743i | ||||
\(989\) | 12.9797 | + | 14.0997i | 0.412731 | + | 0.448345i | ||||
\(990\) | 4.28968 | + | 30.9349i | 0.136335 | + | 0.983176i | ||||
\(991\) | −48.4574 | − | 5.36327i | −1.53930 | − | 0.170370i | −0.700042 | − | 0.714102i | \(-0.746835\pi\) |
−0.839259 | + | 0.543732i | \(0.817011\pi\) | |||||||
\(992\) | −1.84701 | + | 0.204427i | −0.0586425 | + | 0.00649056i | ||||
\(993\) | 0.558798 | + | 1.10422i | 0.0177329 | + | 0.0350412i | ||||
\(994\) | −1.05606 | + | 2.08683i | −0.0334961 | + | 0.0661901i | ||||
\(995\) | −5.02028 | + | 19.8246i | −0.159153 | + | 0.628483i | ||||
\(996\) | −2.46697 | + | 5.62412i | −0.0781689 | + | 0.178207i | ||||
\(997\) | −14.6959 | + | 19.9945i | −0.465423 | + | 0.633231i | −0.973665 | − | 0.227984i | \(-0.926787\pi\) |
0.508242 | + | 0.861214i | \(0.330296\pi\) | |||||||
\(998\) | 9.89110 | − | 19.5453i | 0.313097 | − | 0.618697i | ||||
\(999\) | −62.0823 | + | 10.3597i | −1.96420 | + | 0.327767i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 722.2.i.a.505.15 | ✓ | 576 | |
361.178 | even | 57 | inner | 722.2.i.a.539.15 | yes | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
722.2.i.a.505.15 | ✓ | 576 | 1.1 | even | 1 | trivial | |
722.2.i.a.539.15 | yes | 576 | 361.178 | even | 57 | inner |