Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(7,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.l (of order \(44\), degree \(20\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 17.2 | ||
Character | \(\chi\) | \(=\) | 230.17 |
Dual form | 230.2.l.a.203.2 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{7}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.936950 | + | 0.349464i | −0.662524 | + | 0.247108i | ||||
\(3\) | −1.69758 | + | 0.926949i | −0.980098 | + | 0.535174i | −0.887638 | − | 0.460542i | \(-0.847655\pi\) |
−0.0924605 | + | 0.995716i | \(0.529473\pi\) | |||||||
\(4\) | 0.755750 | − | 0.654861i | 0.377875 | − | 0.327430i | ||||
\(5\) | −1.50435 | + | 1.65436i | −0.672768 | + | 0.739854i | ||||
\(6\) | 1.26661 | − | 1.46175i | 0.517092 | − | 0.596756i | ||||
\(7\) | −0.735871 | − | 0.983009i | −0.278133 | − | 0.371542i | 0.639622 | − | 0.768690i | \(-0.279091\pi\) |
−0.917755 | + | 0.397148i | \(0.870000\pi\) | |||||||
\(8\) | −0.479249 | + | 0.877679i | −0.169440 | + | 0.310306i | ||||
\(9\) | 0.400622 | − | 0.623380i | 0.133541 | − | 0.207793i | ||||
\(10\) | 0.831363 | − | 2.07577i | 0.262900 | − | 0.656417i | ||||
\(11\) | 3.08362 | − | 1.40824i | 0.929747 | − | 0.424601i | 0.107805 | − | 0.994172i | \(-0.465618\pi\) |
0.821942 | + | 0.569571i | \(0.192891\pi\) | |||||||
\(12\) | −0.675923 | + | 1.81222i | −0.195122 | + | 0.523143i | ||||
\(13\) | −5.47285 | − | 4.09692i | −1.51790 | − | 1.13628i | −0.949603 | − | 0.313455i | \(-0.898513\pi\) |
−0.568292 | − | 0.822827i | \(-0.692396\pi\) | |||||||
\(14\) | 1.03300 | + | 0.663869i | 0.276081 | + | 0.177426i | ||||
\(15\) | 1.02025 | − | 4.20287i | 0.263428 | − | 1.08518i | ||||
\(16\) | 0.142315 | − | 0.989821i | 0.0355787 | − | 0.247455i | ||||
\(17\) | −0.214766 | − | 3.00282i | −0.0520885 | − | 0.728292i | −0.954650 | − | 0.297731i | \(-0.903770\pi\) |
0.902561 | − | 0.430561i | \(-0.141684\pi\) | |||||||
\(18\) | −0.157514 | + | 0.724078i | −0.0371263 | + | 0.170667i | ||||
\(19\) | −1.88225 | − | 2.17223i | −0.431818 | − | 0.498344i | 0.497583 | − | 0.867416i | \(-0.334221\pi\) |
−0.929401 | + | 0.369072i | \(0.879675\pi\) | |||||||
\(20\) | −0.0535372 | + | 2.23543i | −0.0119713 | + | 0.499857i | ||||
\(21\) | 2.16040 | + | 0.986621i | 0.471438 | + | 0.215298i | ||||
\(22\) | −2.39707 | + | 2.39707i | −0.511057 | + | 0.511057i | ||||
\(23\) | 3.93443 | + | 2.74231i | 0.820386 | + | 0.571810i | ||||
\(24\) | − | 1.93417i | − | 0.394811i | ||||||
\(25\) | −0.473838 | − | 4.97750i | −0.0947675 | − | 0.995499i | ||||
\(26\) | 6.55951 | + | 1.92605i | 1.28643 | + | 0.377729i | ||||
\(27\) | 0.311700 | − | 4.35813i | 0.0599867 | − | 0.838723i | ||||
\(28\) | −1.19987 | − | 0.261015i | −0.226754 | − | 0.0493273i | ||||
\(29\) | −3.99884 | − | 3.46501i | −0.742565 | − | 0.643436i | 0.199103 | − | 0.979979i | \(-0.436197\pi\) |
−0.941668 | + | 0.336542i | \(0.890743\pi\) | |||||||
\(30\) | 0.512830 | + | 4.29442i | 0.0936295 | + | 0.784051i | ||||
\(31\) | −5.92845 | + | 1.74075i | −1.06478 | + | 0.312648i | −0.766775 | − | 0.641916i | \(-0.778140\pi\) |
−0.298007 | + | 0.954564i | \(0.596322\pi\) | |||||||
\(32\) | 0.212565 | + | 0.977147i | 0.0375766 | + | 0.172737i | ||||
\(33\) | −3.92933 | + | 5.24896i | −0.684008 | + | 0.913727i | ||||
\(34\) | 1.25060 | + | 2.73844i | 0.214477 | + | 0.469639i | ||||
\(35\) | 2.73326 | + | 0.261395i | 0.462006 | + | 0.0441838i | ||||
\(36\) | −0.105457 | − | 0.733470i | −0.0175762 | − | 0.122245i | ||||
\(37\) | −6.54487 | + | 1.42375i | −1.07597 | + | 0.234063i | −0.715433 | − | 0.698682i | \(-0.753770\pi\) |
−0.360538 | + | 0.932745i | \(0.617407\pi\) | |||||||
\(38\) | 2.52269 | + | 1.37749i | 0.409234 | + | 0.223459i | ||||
\(39\) | 13.0882 | + | 1.88180i | 2.09580 | + | 0.301330i | ||||
\(40\) | −0.731040 | − | 2.11319i | −0.115588 | − | 0.334125i | ||||
\(41\) | −2.34072 | + | 1.50429i | −0.365559 | + | 0.234930i | −0.710505 | − | 0.703692i | \(-0.751533\pi\) |
0.344946 | + | 0.938622i | \(0.387897\pi\) | |||||||
\(42\) | −2.36897 | − | 0.169432i | −0.365541 | − | 0.0261440i | ||||
\(43\) | 4.04137 | + | 7.40121i | 0.616302 | + | 1.12867i | 0.980345 | + | 0.197291i | \(0.0632145\pi\) |
−0.364042 | + | 0.931382i | \(0.618604\pi\) | |||||||
\(44\) | 1.40824 | − | 3.08362i | 0.212301 | − | 0.464873i | ||||
\(45\) | 0.428620 | + | 1.60056i | 0.0638948 | + | 0.238597i | ||||
\(46\) | −4.64470 | − | 1.19446i | −0.684824 | − | 0.176114i | ||||
\(47\) | 5.79351 | + | 5.79351i | 0.845070 | + | 0.845070i | 0.989513 | − | 0.144443i | \(-0.0461389\pi\) |
−0.144443 | + | 0.989513i | \(0.546139\pi\) | |||||||
\(48\) | 0.675923 | + | 1.81222i | 0.0975611 | + | 0.261571i | ||||
\(49\) | 1.54733 | − | 5.26972i | 0.221047 | − | 0.752817i | ||||
\(50\) | 2.18342 | + | 4.49808i | 0.308782 | + | 0.636124i | ||||
\(51\) | 3.14805 | + | 4.89846i | 0.440815 | + | 0.685921i | ||||
\(52\) | −6.81902 | + | 0.487706i | −0.945628 | + | 0.0676326i | ||||
\(53\) | −8.41893 | + | 6.30233i | −1.15643 | + | 0.865692i | −0.992676 | − | 0.120809i | \(-0.961451\pi\) |
−0.163754 | + | 0.986501i | \(0.552360\pi\) | |||||||
\(54\) | 1.23096 | + | 4.19228i | 0.167513 | + | 0.570497i | ||||
\(55\) | −2.30911 | + | 7.21993i | −0.311361 | + | 0.973535i | ||||
\(56\) | 1.21543 | − | 0.174753i | 0.162419 | − | 0.0233523i | ||||
\(57\) | 5.20882 | + | 1.94279i | 0.689925 | + | 0.257329i | ||||
\(58\) | 4.95761 | + | 1.84909i | 0.650966 | + | 0.242798i | ||||
\(59\) | −7.66795 | + | 1.10249i | −0.998282 | + | 0.143531i | −0.622036 | − | 0.782988i | \(-0.713694\pi\) |
−0.376246 | + | 0.926520i | \(0.622785\pi\) | |||||||
\(60\) | −1.98124 | − | 3.84444i | −0.255777 | − | 0.496315i | ||||
\(61\) | 0.704279 | + | 2.39855i | 0.0901737 | + | 0.307103i | 0.992213 | − | 0.124550i | \(-0.0397486\pi\) |
−0.902040 | + | 0.431653i | \(0.857930\pi\) | |||||||
\(62\) | 4.94633 | − | 3.70278i | 0.628185 | − | 0.470253i | ||||
\(63\) | −0.907593 | + | 0.0649124i | −0.114346 | + | 0.00817819i | ||||
\(64\) | −0.540641 | − | 0.841254i | −0.0675801 | − | 0.105157i | ||||
\(65\) | 15.0109 | − | 2.89086i | 1.86187 | − | 0.358567i | ||||
\(66\) | 1.84726 | − | 6.29117i | 0.227381 | − | 0.774390i | ||||
\(67\) | −3.20331 | − | 8.58840i | −0.391346 | − | 1.04924i | −0.971978 | − | 0.235073i | \(-0.924467\pi\) |
0.580631 | − | 0.814167i | \(-0.302806\pi\) | |||||||
\(68\) | −2.12874 | − | 2.12874i | −0.258148 | − | 0.258148i | ||||
\(69\) | −9.22099 | − | 1.00827i | −1.11008 | − | 0.121381i | ||||
\(70\) | −2.65228 | + | 0.710264i | −0.317008 | + | 0.0848928i | ||||
\(71\) | −1.74986 | + | 3.83166i | −0.207670 | + | 0.454734i | −0.984593 | − | 0.174862i | \(-0.944052\pi\) |
0.776923 | + | 0.629596i | \(0.216779\pi\) | |||||||
\(72\) | 0.355130 | + | 0.650371i | 0.0418524 | + | 0.0766470i | ||||
\(73\) | 0.769439 | + | 0.0550313i | 0.0900560 | + | 0.00644093i | 0.116294 | − | 0.993215i | \(-0.462898\pi\) |
−0.0262385 | + | 0.999656i | \(0.508353\pi\) | |||||||
\(74\) | 5.63467 | − | 3.62118i | 0.655017 | − | 0.420954i | ||||
\(75\) | 5.41826 | + | 8.01048i | 0.625647 | + | 0.924970i | ||||
\(76\) | −2.84502 | − | 0.409052i | −0.326346 | − | 0.0469215i | ||||
\(77\) | −3.65346 | − | 1.99494i | −0.416351 | − | 0.227345i | ||||
\(78\) | −12.9206 | + | 2.81071i | −1.46297 | + | 0.318251i | ||||
\(79\) | −0.551491 | − | 3.83570i | −0.0620476 | − | 0.431550i | −0.997040 | − | 0.0768830i | \(-0.975503\pi\) |
0.934993 | − | 0.354667i | \(-0.115406\pi\) | |||||||
\(80\) | 1.42343 | + | 1.72448i | 0.159145 | + | 0.192803i | ||||
\(81\) | 4.43411 | + | 9.70936i | 0.492679 | + | 1.07882i | ||||
\(82\) | 1.66744 | − | 2.22744i | 0.184138 | − | 0.245979i | ||||
\(83\) | −2.57122 | − | 11.8197i | −0.282228 | − | 1.29738i | −0.871879 | − | 0.489722i | \(-0.837098\pi\) |
0.589651 | − | 0.807658i | \(-0.299265\pi\) | |||||||
\(84\) | 2.27882 | − | 0.669122i | 0.248640 | − | 0.0730072i | ||||
\(85\) | 5.29085 | + | 4.16201i | 0.573873 | + | 0.451433i | ||||
\(86\) | −6.37301 | − | 5.52225i | −0.687220 | − | 0.595479i | ||||
\(87\) | 10.0002 | + | 2.17542i | 1.07214 | + | 0.233229i | ||||
\(88\) | −0.241837 | + | 3.38133i | −0.0257800 | + | 0.360451i | ||||
\(89\) | −10.7709 | − | 3.16262i | −1.14171 | − | 0.335237i | −0.344412 | − | 0.938819i | \(-0.611922\pi\) |
−0.797302 | + | 0.603581i | \(0.793740\pi\) | |||||||
\(90\) | −0.960932 | − | 1.34985i | −0.101291 | − | 0.142287i | ||||
\(91\) | 8.39466i | 0.880000i | ||||||||
\(92\) | 4.76927 | − | 0.504008i | 0.497231 | − | 0.0525465i | ||||
\(93\) | 8.45044 | − | 8.45044i | 0.876270 | − | 0.876270i | ||||
\(94\) | −7.45285 | − | 3.40360i | −0.768703 | − | 0.351055i | ||||
\(95\) | 6.42523 | + | 0.153881i | 0.659215 | + | 0.0157878i | ||||
\(96\) | −1.26661 | − | 1.46175i | −0.129273 | − | 0.149189i | ||||
\(97\) | 1.36894 | − | 6.29292i | 0.138995 | − | 0.638949i | −0.853948 | − | 0.520358i | \(-0.825799\pi\) |
0.992943 | − | 0.118591i | \(-0.0378378\pi\) | |||||||
\(98\) | 0.391808 | + | 5.47819i | 0.0395786 | + | 0.553381i | ||||
\(99\) | 0.357496 | − | 2.48644i | 0.0359297 | − | 0.249897i | ||||
\(100\) | −3.61767 | − | 3.45144i | −0.361767 | − | 0.345144i | ||||
\(101\) | −7.95674 | − | 5.11349i | −0.791725 | − | 0.508811i | 0.0811808 | − | 0.996699i | \(-0.474131\pi\) |
−0.872906 | + | 0.487889i | \(0.837767\pi\) | |||||||
\(102\) | −4.66140 | − | 3.48948i | −0.461547 | − | 0.345510i | ||||
\(103\) | 0.807867 | − | 2.16597i | 0.0796015 | − | 0.213420i | −0.891053 | − | 0.453900i | \(-0.850032\pi\) |
0.970654 | + | 0.240480i | \(0.0773050\pi\) | |||||||
\(104\) | 6.21864 | − | 2.83996i | 0.609788 | − | 0.278481i | ||||
\(105\) | −4.88223 | + | 2.08986i | −0.476457 | + | 0.203949i | ||||
\(106\) | 5.68568 | − | 8.84709i | 0.552242 | − | 0.859305i | ||||
\(107\) | −0.459167 | + | 0.840901i | −0.0443893 | + | 0.0812930i | −0.898932 | − | 0.438088i | \(-0.855656\pi\) |
0.854543 | + | 0.519381i | \(0.173838\pi\) | |||||||
\(108\) | −2.61840 | − | 3.49778i | −0.251956 | − | 0.336574i | ||||
\(109\) | 2.27494 | − | 2.62542i | 0.217900 | − | 0.251470i | −0.636267 | − | 0.771469i | \(-0.719522\pi\) |
0.854167 | + | 0.519999i | \(0.174068\pi\) | |||||||
\(110\) | −0.359583 | − | 7.57166i | −0.0342849 | − | 0.721929i | ||||
\(111\) | 9.79070 | − | 8.48369i | 0.929293 | − | 0.805237i | ||||
\(112\) | −1.07773 | + | 0.588484i | −0.101836 | + | 0.0556065i | ||||
\(113\) | 7.31563 | − | 2.72859i | 0.688197 | − | 0.256684i | 0.0190545 | − | 0.999818i | \(-0.493934\pi\) |
0.669142 | + | 0.743134i | \(0.266662\pi\) | |||||||
\(114\) | −5.55933 | −0.520679 | ||||||||
\(115\) | −10.4556 | + | 2.38358i | −0.974985 | + | 0.222270i | ||||
\(116\) | −5.29122 | −0.491277 | ||||||||
\(117\) | −4.74648 | + | 1.77035i | −0.438812 | + | 0.163669i | ||||
\(118\) | 6.79921 | − | 3.71265i | 0.625918 | − | 0.341777i | ||||
\(119\) | −2.79376 | + | 2.42081i | −0.256104 | + | 0.221915i | ||||
\(120\) | 3.19982 | + | 2.90968i | 0.292102 | + | 0.265616i | ||||
\(121\) | 0.322105 | − | 0.371729i | 0.0292823 | − | 0.0337936i | ||||
\(122\) | −1.49808 | − | 2.00120i | −0.135630 | − | 0.181181i | ||||
\(123\) | 2.57916 | − | 4.72337i | 0.232555 | − | 0.425892i | ||||
\(124\) | −3.34048 | + | 5.19788i | −0.299984 | + | 0.466784i | ||||
\(125\) | 8.94741 | + | 6.70402i | 0.800281 | + | 0.599626i | ||||
\(126\) | 0.827685 | − | 0.377991i | 0.0737360 | − | 0.0336741i | ||||
\(127\) | 2.12418 | − | 5.69516i | 0.188491 | − | 0.505363i | −0.807989 | − | 0.589198i | \(-0.799444\pi\) |
0.996480 | + | 0.0838343i | \(0.0267167\pi\) | |||||||
\(128\) | 0.800541 | + | 0.599278i | 0.0707585 | + | 0.0529692i | ||||
\(129\) | −13.7211 | − | 8.81801i | −1.20807 | − | 0.776382i | ||||
\(130\) | −13.0542 | + | 7.95436i | −1.14493 | + | 0.697644i | ||||
\(131\) | −0.343618 | + | 2.38992i | −0.0300220 | + | 0.208808i | −0.999311 | − | 0.0371170i | \(-0.988183\pi\) |
0.969289 | + | 0.245925i | \(0.0790917\pi\) | |||||||
\(132\) | 0.467755 | + | 6.54006i | 0.0407128 | + | 0.569239i | ||||
\(133\) | −0.750229 | + | 3.44875i | −0.0650531 | + | 0.299044i | ||||
\(134\) | 6.00268 | + | 6.92746i | 0.518552 | + | 0.598441i | ||||
\(135\) | 6.74103 | + | 7.07184i | 0.580175 | + | 0.608647i | ||||
\(136\) | 2.73844 | + | 1.25060i | 0.234820 | + | 0.107238i | ||||
\(137\) | −11.5177 | + | 11.5177i | −0.984027 | + | 0.984027i | −0.999874 | − | 0.0158474i | \(-0.994955\pi\) |
0.0158474 | + | 0.999874i | \(0.494955\pi\) | |||||||
\(138\) | 8.99196 | − | 2.27771i | 0.765446 | − | 0.193892i | ||||
\(139\) | 2.36411i | 0.200522i | 0.994961 | + | 0.100261i | \(0.0319677\pi\) | ||||
−0.994961 | + | 0.100261i | \(0.968032\pi\) | |||||||
\(140\) | 2.23684 | − | 1.59236i | 0.189048 | − | 0.134579i | ||||
\(141\) | −15.2052 | − | 4.46466i | −1.28051 | − | 0.375992i | ||||
\(142\) | 0.300503 | − | 4.20158i | 0.0252177 | − | 0.352589i | ||||
\(143\) | −22.6457 | − | 4.92626i | −1.89372 | − | 0.411955i | ||||
\(144\) | −0.560020 | − | 0.485260i | −0.0466683 | − | 0.0404383i | ||||
\(145\) | 11.7481 | − | 1.40293i | 0.975623 | − | 0.116507i | ||||
\(146\) | −0.740157 | + | 0.217330i | −0.0612558 | + | 0.0179863i | ||||
\(147\) | 2.25804 | + | 10.3801i | 0.186240 | + | 0.856133i | ||||
\(148\) | −4.01393 | + | 5.36198i | −0.329943 | + | 0.440752i | ||||
\(149\) | 7.08181 | + | 15.5070i | 0.580164 | + | 1.27038i | 0.941206 | + | 0.337833i | \(0.109694\pi\) |
−0.361042 | + | 0.932550i | \(0.617579\pi\) | |||||||
\(150\) | −7.87601 | − | 5.61193i | −0.643074 | − | 0.458212i | ||||
\(151\) | −1.51690 | − | 10.5503i | −0.123443 | − | 0.858568i | −0.953608 | − | 0.301050i | \(-0.902663\pi\) |
0.830165 | − | 0.557518i | \(-0.188246\pi\) | |||||||
\(152\) | 2.80859 | − | 0.610971i | 0.227807 | − | 0.0495563i | ||||
\(153\) | −1.95794 | − | 1.06912i | −0.158290 | − | 0.0864329i | ||||
\(154\) | 4.12027 | + | 0.592406i | 0.332021 | + | 0.0477374i | ||||
\(155\) | 6.03866 | − | 12.4265i | 0.485037 | − | 0.998122i | ||||
\(156\) | 11.1237 | − | 7.14880i | 0.890613 | − | 0.572362i | ||||
\(157\) | −19.7227 | − | 1.41059i | −1.57404 | − | 0.112578i | −0.743193 | − | 0.669077i | \(-0.766689\pi\) |
−0.830848 | + | 0.556500i | \(0.812144\pi\) | |||||||
\(158\) | 1.85716 | + | 3.40114i | 0.147748 | + | 0.270580i | ||||
\(159\) | 8.44987 | − | 18.5026i | 0.670118 | − | 1.46735i | ||||
\(160\) | −1.93633 | − | 1.11831i | −0.153080 | − | 0.0884105i | ||||
\(161\) | −0.199523 | − | 5.88556i | −0.0157247 | − | 0.463847i | ||||
\(162\) | −7.54761 | − | 7.54761i | −0.592997 | − | 0.592997i | ||||
\(163\) | −4.29560 | − | 11.5169i | −0.336457 | − | 0.902077i | −0.989471 | − | 0.144731i | \(-0.953768\pi\) |
0.653014 | − | 0.757346i | \(-0.273504\pi\) | |||||||
\(164\) | −0.783897 | + | 2.66971i | −0.0612121 | + | 0.208469i | ||||
\(165\) | −2.77260 | − | 14.3968i | −0.215847 | − | 1.12079i | ||||
\(166\) | 6.53966 | + | 10.1759i | 0.507576 | + | 0.789804i | ||||
\(167\) | 25.1992 | − | 1.80228i | 1.94997 | − | 0.139465i | 0.959932 | − | 0.280233i | \(-0.0904118\pi\) |
0.990043 | + | 0.140768i | \(0.0449572\pi\) | |||||||
\(168\) | −1.90131 | + | 1.42330i | −0.146689 | + | 0.109810i | ||||
\(169\) | 9.50477 | + | 32.3703i | 0.731136 | + | 2.49002i | ||||
\(170\) | −6.41173 | − | 2.05063i | −0.491757 | − | 0.157276i | ||||
\(171\) | −2.10819 | + | 0.303113i | −0.161218 | + | 0.0231796i | ||||
\(172\) | 7.90102 | + | 2.94693i | 0.602447 | + | 0.224701i | ||||
\(173\) | 14.2724 | + | 5.32333i | 1.08511 | + | 0.404725i | 0.827467 | − | 0.561515i | \(-0.189781\pi\) |
0.257644 | + | 0.966240i | \(0.417054\pi\) | |||||||
\(174\) | −10.1299 | + | 1.45647i | −0.767949 | + | 0.110414i | ||||
\(175\) | −4.54424 | + | 4.12858i | −0.343512 | + | 0.312091i | ||||
\(176\) | −0.955064 | − | 3.25265i | −0.0719906 | − | 0.245178i | ||||
\(177\) | 11.9950 | − | 8.97936i | 0.901601 | − | 0.674930i | ||||
\(178\) | 11.1970 | − | 0.800827i | 0.839252 | − | 0.0600245i | ||||
\(179\) | 8.47074 | + | 13.1807i | 0.633133 | + | 0.985174i | 0.998524 | + | 0.0543197i | \(0.0172990\pi\) |
−0.365391 | + | 0.930854i | \(0.619065\pi\) | |||||||
\(180\) | 1.37207 | + | 0.928935i | 0.102268 | + | 0.0692387i | ||||
\(181\) | 0.978450 | − | 3.33229i | 0.0727276 | − | 0.247687i | −0.915103 | − | 0.403220i | \(-0.867891\pi\) |
0.987831 | + | 0.155532i | \(0.0497092\pi\) | |||||||
\(182\) | −2.93363 | − | 7.86538i | −0.217455 | − | 0.583021i | ||||
\(183\) | −3.41891 | − | 3.41891i | −0.252733 | − | 0.252733i | ||||
\(184\) | −4.29244 | + | 2.13892i | −0.316443 | + | 0.157683i | ||||
\(185\) | 7.49041 | − | 12.9694i | 0.550706 | − | 0.953531i | ||||
\(186\) | −4.96451 | + | 10.8708i | −0.364016 | + | 0.797083i | ||||
\(187\) | −4.89096 | − | 8.95713i | −0.357663 | − | 0.655010i | ||||
\(188\) | 8.17239 | + | 0.584501i | 0.596033 | + | 0.0426291i | ||||
\(189\) | −4.51345 | + | 2.90062i | −0.328305 | + | 0.210989i | ||||
\(190\) | −6.07389 | + | 2.10121i | −0.440646 | + | 0.152438i | ||||
\(191\) | 5.15843 | + | 0.741671i | 0.373251 | + | 0.0536654i | 0.326388 | − | 0.945236i | \(-0.394168\pi\) |
0.0468632 | + | 0.998901i | \(0.485078\pi\) | |||||||
\(192\) | 1.69758 | + | 0.926949i | 0.122512 | + | 0.0668968i | ||||
\(193\) | 9.98077 | − | 2.17118i | 0.718431 | − | 0.156285i | 0.161535 | − | 0.986867i | \(-0.448356\pi\) |
0.556897 | + | 0.830582i | \(0.311992\pi\) | |||||||
\(194\) | 0.916521 | + | 6.37454i | 0.0658023 | + | 0.457665i | ||||
\(195\) | −22.8025 | + | 18.8218i | −1.63292 | + | 1.34786i | ||||
\(196\) | −2.28154 | − | 4.99587i | −0.162967 | − | 0.356848i | ||||
\(197\) | −7.65502 | + | 10.2259i | −0.545398 | + | 0.728566i | −0.985555 | − | 0.169355i | \(-0.945832\pi\) |
0.440158 | + | 0.897921i | \(0.354923\pi\) | |||||||
\(198\) | 0.533966 | + | 2.45460i | 0.0379473 | + | 0.174441i | ||||
\(199\) | −12.5975 | + | 3.69896i | −0.893013 | + | 0.262212i | −0.695874 | − | 0.718164i | \(-0.744983\pi\) |
−0.197138 | + | 0.980376i | \(0.563165\pi\) | |||||||
\(200\) | 4.59573 | + | 1.96958i | 0.324967 | + | 0.139271i | ||||
\(201\) | 13.3989 | + | 11.6102i | 0.945084 | + | 0.818920i | ||||
\(202\) | 9.24205 | + | 2.01048i | 0.650268 | + | 0.141457i | ||||
\(203\) | −0.463508 | + | 6.48069i | −0.0325319 | + | 0.454855i | ||||
\(204\) | 5.58694 | + | 1.64047i | 0.391164 | + | 0.114856i | ||||
\(205\) | 1.03263 | − | 6.13538i | 0.0721219 | − | 0.428513i | ||||
\(206\) | 2.31173i | 0.161066i | ||||||||
\(207\) | 3.28572 | − | 1.35402i | 0.228373 | − | 0.0941107i | ||||
\(208\) | −4.83409 | + | 4.83409i | −0.335184 | + | 0.335184i | ||||
\(209\) | −8.86317 | − | 4.04768i | −0.613078 | − | 0.279984i | ||||
\(210\) | 3.84408 | − | 3.66426i | 0.265267 | − | 0.252858i | ||||
\(211\) | −7.81515 | − | 9.01916i | −0.538017 | − | 0.620905i | 0.420032 | − | 0.907509i | \(-0.362019\pi\) |
−0.958049 | + | 0.286605i | \(0.907473\pi\) | |||||||
\(212\) | −2.23545 | + | 10.2762i | −0.153532 | + | 0.705773i | ||||
\(213\) | −0.581224 | − | 8.12658i | −0.0398248 | − | 0.556824i | ||||
\(214\) | 0.136351 | − | 0.948344i | 0.00932078 | − | 0.0648275i | ||||
\(215\) | −18.3239 | − | 4.44815i | −1.24968 | − | 0.303361i | ||||
\(216\) | 3.67566 | + | 2.36220i | 0.250097 | + | 0.160728i | ||||
\(217\) | 6.07375 | + | 4.54675i | 0.412313 | + | 0.308654i | ||||
\(218\) | −1.21402 | + | 3.25490i | −0.0822235 | + | 0.220450i | ||||
\(219\) | −1.35720 | + | 0.619810i | −0.0917108 | + | 0.0418829i | ||||
\(220\) | 2.98294 | + | 6.96860i | 0.201109 | + | 0.469823i | ||||
\(221\) | −11.1270 | + | 17.3139i | −0.748480 | + | 1.16466i | ||||
\(222\) | −6.20865 | + | 11.3703i | −0.416697 | + | 0.763124i | ||||
\(223\) | 15.4764 | + | 20.6740i | 1.03637 | + | 1.38443i | 0.920309 | + | 0.391191i | \(0.127937\pi\) |
0.116064 | + | 0.993242i | \(0.462972\pi\) | |||||||
\(224\) | 0.804123 | − | 0.928008i | 0.0537277 | − | 0.0620051i | ||||
\(225\) | −3.29270 | − | 1.69871i | −0.219513 | − | 0.113248i | ||||
\(226\) | −5.90083 | + | 5.11310i | −0.392518 | + | 0.340119i | ||||
\(227\) | −16.5910 | + | 9.05939i | −1.10119 | + | 0.601293i | −0.923810 | − | 0.382851i | \(-0.874942\pi\) |
−0.177375 | + | 0.984143i | \(0.556761\pi\) | |||||||
\(228\) | 5.20882 | − | 1.94279i | 0.344962 | − | 0.128664i | ||||
\(229\) | 16.1141 | 1.06485 | 0.532425 | − | 0.846477i | \(-0.321281\pi\) | ||||
0.532425 | + | 0.846477i | \(0.321281\pi\) | |||||||
\(230\) | 8.96335 | − | 5.88714i | 0.591026 | − | 0.388186i | ||||
\(231\) | 8.05125 | 0.529734 | ||||||||
\(232\) | 4.95761 | − | 1.84909i | 0.325483 | − | 0.121399i | ||||
\(233\) | −18.5433 | + | 10.1254i | −1.21481 | + | 0.663338i | −0.953348 | − | 0.301875i | \(-0.902388\pi\) |
−0.261466 | + | 0.965213i | \(0.584206\pi\) | |||||||
\(234\) | 3.82854 | − | 3.31745i | 0.250280 | − | 0.216868i | ||||
\(235\) | −18.3001 | + | 0.869082i | −1.19376 | + | 0.0566926i | ||||
\(236\) | −5.07308 | + | 5.85464i | −0.330229 | + | 0.381105i | ||||
\(237\) | 4.49170 | + | 6.00021i | 0.291767 | + | 0.389756i | ||||
\(238\) | 1.77163 | − | 3.24450i | 0.114838 | − | 0.210309i | ||||
\(239\) | 6.52812 | − | 10.1580i | 0.422269 | − | 0.657064i | −0.563316 | − | 0.826241i | \(-0.690475\pi\) |
0.985586 | + | 0.169178i | \(0.0541111\pi\) | |||||||
\(240\) | −4.01490 | − | 1.60800i | −0.259161 | − | 0.103796i | ||||
\(241\) | 10.8647 | − | 4.96172i | 0.699854 | − | 0.319613i | −0.0335197 | − | 0.999438i | \(-0.510672\pi\) |
0.733374 | + | 0.679825i | \(0.237944\pi\) | |||||||
\(242\) | −0.171890 | + | 0.460856i | −0.0110495 | + | 0.0296249i | ||||
\(243\) | −6.03401 | − | 4.51700i | −0.387082 | − | 0.289766i | ||||
\(244\) | 2.10298 | + | 1.35150i | 0.134629 | + | 0.0865210i | ||||
\(245\) | 6.39030 | + | 10.4874i | 0.408261 | + | 0.670013i | ||||
\(246\) | −0.765891 | + | 5.32689i | −0.0488314 | + | 0.339630i | ||||
\(247\) | 1.40180 | + | 19.5997i | 0.0891944 | + | 1.24710i | ||||
\(248\) | 1.31338 | − | 6.03753i | 0.0834000 | − | 0.383384i | ||||
\(249\) | 15.3211 | + | 17.6815i | 0.970935 | + | 1.12052i | ||||
\(250\) | −10.7261 | − | 3.15453i | −0.678377 | − | 0.199510i | ||||
\(251\) | −0.919601 | − | 0.419968i | −0.0580447 | − | 0.0265081i | 0.386181 | − | 0.922423i | \(-0.373794\pi\) |
−0.444226 | + | 0.895915i | \(0.646521\pi\) | |||||||
\(252\) | −0.643405 | + | 0.643405i | −0.0405307 | + | 0.0405307i | ||||
\(253\) | 15.9941 | + | 2.91560i | 1.00554 | + | 0.183302i | ||||
\(254\) | 6.07840i | 0.381393i | ||||||||
\(255\) | −12.8396 | − | 2.16100i | −0.804048 | − | 0.135327i | ||||
\(256\) | −0.959493 | − | 0.281733i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | 0.655430 | − | 9.16410i | 0.0408846 | − | 0.571641i | −0.935182 | − | 0.354168i | \(-0.884764\pi\) |
0.976066 | − | 0.217473i | \(-0.0697814\pi\) | |||||||
\(258\) | 15.9375 | + | 3.46700i | 0.992228 | + | 0.215846i | ||||
\(259\) | 6.21574 | + | 5.38597i | 0.386227 | + | 0.334668i | ||||
\(260\) | 9.45137 | − | 12.0148i | 0.586149 | − | 0.745127i | ||||
\(261\) | −3.76204 | + | 1.10463i | −0.232864 | + | 0.0683751i | ||||
\(262\) | −0.513237 | − | 2.35931i | −0.0317079 | − | 0.145759i | ||||
\(263\) | 4.30463 | − | 5.75031i | 0.265435 | − | 0.354579i | −0.647946 | − | 0.761687i | \(-0.724372\pi\) |
0.913380 | + | 0.407107i | \(0.133463\pi\) | |||||||
\(264\) | −2.72378 | − | 5.96425i | −0.167637 | − | 0.367074i | ||||
\(265\) | 2.23870 | − | 23.4089i | 0.137522 | − | 1.43800i | ||||
\(266\) | −0.502287 | − | 3.49348i | −0.0307972 | − | 0.214199i | ||||
\(267\) | 21.2161 | − | 4.61527i | 1.29840 | − | 0.282450i | ||||
\(268\) | −8.04510 | − | 4.39296i | −0.491433 | − | 0.268343i | ||||
\(269\) | 7.47323 | + | 1.07449i | 0.455651 | + | 0.0655127i | 0.366319 | − | 0.930489i | \(-0.380618\pi\) |
0.0893315 | + | 0.996002i | \(0.471527\pi\) | |||||||
\(270\) | −8.78736 | − | 4.27021i | −0.534782 | − | 0.259877i | ||||
\(271\) | −17.8817 | + | 11.4919i | −1.08624 | + | 0.698083i | −0.955990 | − | 0.293399i | \(-0.905214\pi\) |
−0.130248 | + | 0.991481i | \(0.541577\pi\) | |||||||
\(272\) | −3.00282 | − | 0.214766i | −0.182073 | − | 0.0130221i | ||||
\(273\) | −7.78142 | − | 14.2506i | −0.470953 | − | 0.862487i | ||||
\(274\) | 6.76651 | − | 14.8166i | 0.408780 | − | 0.895102i | ||||
\(275\) | −8.47066 | − | 14.6814i | −0.510800 | − | 0.885324i | ||||
\(276\) | −7.62904 | + | 5.27647i | −0.459214 | + | 0.317606i | ||||
\(277\) | −18.4280 | − | 18.4280i | −1.10723 | − | 1.10723i | −0.993513 | − | 0.113720i | \(-0.963723\pi\) |
−0.113720 | − | 0.993513i | \(-0.536277\pi\) | |||||||
\(278\) | −0.826173 | − | 2.21506i | −0.0495506 | − | 0.132850i | ||||
\(279\) | −1.28992 | + | 4.39306i | −0.0772254 | + | 0.263006i | ||||
\(280\) | −1.53933 | + | 2.27366i | −0.0919929 | + | 0.135877i | ||||
\(281\) | −14.0624 | − | 21.8815i | −0.838890 | − | 1.30534i | −0.950228 | − | 0.311556i | \(-0.899150\pi\) |
0.111338 | − | 0.993783i | \(-0.464486\pi\) | |||||||
\(282\) | 15.8068 | − | 1.13052i | 0.941280 | − | 0.0673217i | ||||
\(283\) | 22.1937 | − | 16.6140i | 1.31928 | − | 0.987601i | 0.320089 | − | 0.947388i | \(-0.396287\pi\) |
0.999191 | − | 0.0402131i | \(-0.0128037\pi\) | |||||||
\(284\) | 1.18675 | + | 4.04169i | 0.0704205 | + | 0.239830i | ||||
\(285\) | −11.0500 | + | 5.69463i | −0.654544 | + | 0.337321i | ||||
\(286\) | 22.9394 | − | 3.29819i | 1.35643 | − | 0.195026i | ||||
\(287\) | 3.20119 | + | 1.19398i | 0.188961 | + | 0.0704786i | ||||
\(288\) | 0.694292 | + | 0.258957i | 0.0409115 | + | 0.0152592i | ||||
\(289\) | 7.85613 | − | 1.12954i | 0.462125 | − | 0.0664436i | ||||
\(290\) | −10.5171 | + | 5.41999i | −0.617583 | + | 0.318273i | ||||
\(291\) | 3.50933 | + | 11.9517i | 0.205720 | + | 0.700619i | ||||
\(292\) | 0.617541 | − | 0.462285i | 0.0361388 | − | 0.0270532i | ||||
\(293\) | −28.1843 | + | 2.01578i | −1.64654 | + | 0.117763i | −0.863549 | − | 0.504266i | \(-0.831763\pi\) |
−0.782995 | + | 0.622029i | \(0.786309\pi\) | |||||||
\(294\) | −5.74313 | − | 8.93649i | −0.334946 | − | 0.521187i | ||||
\(295\) | 9.71140 | − | 14.3441i | 0.565420 | − | 0.835146i | ||||
\(296\) | 1.88703 | − | 6.42663i | 0.109681 | − | 0.373540i | ||||
\(297\) | −5.17614 | − | 13.8778i | −0.300350 | − | 0.805270i | ||||
\(298\) | −12.0544 | − | 12.0544i | −0.698295 | − | 0.698295i | ||||
\(299\) | −10.2975 | − | 31.1273i | −0.595522 | − | 1.80014i | ||||
\(300\) | 9.34060 | + | 2.50571i | 0.539280 | + | 0.144667i | ||||
\(301\) | 4.30153 | − | 9.41903i | 0.247936 | − | 0.542904i | ||||
\(302\) | 5.10820 | + | 9.35496i | 0.293944 | + | 0.538318i | ||||
\(303\) | 18.2471 | + | 1.30506i | 1.04827 | + | 0.0749738i | ||||
\(304\) | −2.41799 | + | 1.55395i | −0.138681 | + | 0.0891251i | ||||
\(305\) | −5.02757 | − | 2.44314i | −0.287878 | − | 0.139894i | ||||
\(306\) | 2.20811 | + | 0.317478i | 0.126229 | + | 0.0181490i | ||||
\(307\) | 17.9666 | + | 9.81051i | 1.02541 | + | 0.559916i | 0.901682 | − | 0.432401i | \(-0.142333\pi\) |
0.123727 | + | 0.992316i | \(0.460515\pi\) | |||||||
\(308\) | −4.06751 | + | 0.884833i | −0.231768 | + | 0.0504180i | ||||
\(309\) | 0.636329 | + | 4.42577i | 0.0361995 | + | 0.251773i | ||||
\(310\) | −1.31529 | + | 13.7533i | −0.0747037 | + | 0.781136i | ||||
\(311\) | −5.98405 | − | 13.1032i | −0.339324 | − | 0.743017i | 0.660646 | − | 0.750698i | \(-0.270282\pi\) |
−0.999971 | + | 0.00768068i | \(0.997555\pi\) | |||||||
\(312\) | −7.92414 | + | 10.5854i | −0.448616 | + | 0.599281i | ||||
\(313\) | −5.25270 | − | 24.1463i | −0.296900 | − | 1.36483i | −0.847826 | − | 0.530274i | \(-0.822089\pi\) |
0.550926 | − | 0.834554i | \(-0.314275\pi\) | |||||||
\(314\) | 18.9721 | − | 5.57071i | 1.07066 | − | 0.314373i | ||||
\(315\) | 1.25795 | − | 1.59914i | 0.0708776 | − | 0.0901014i | ||||
\(316\) | −2.92864 | − | 2.53768i | −0.164749 | − | 0.142756i | ||||
\(317\) | 14.5685 | + | 3.16918i | 0.818248 | + | 0.177999i | 0.602161 | − | 0.798375i | \(-0.294307\pi\) |
0.216088 | + | 0.976374i | \(0.430670\pi\) | |||||||
\(318\) | −1.45110 | + | 20.2890i | −0.0813734 | + | 1.13775i | ||||
\(319\) | −17.2105 | − | 5.05345i | −0.963602 | − | 0.282939i | ||||
\(320\) | 2.20505 | + | 0.371127i | 0.123266 | + | 0.0207466i | ||||
\(321\) | − | 1.85312i | − | 0.103431i | ||||||
\(322\) | 2.24374 | + | 5.44475i | 0.125039 | + | 0.303424i | ||||
\(323\) | −6.11859 | + | 6.11859i | −0.340447 | + | 0.340447i | ||||
\(324\) | 9.70936 | + | 4.43411i | 0.539409 | + | 0.246340i | ||||
\(325\) | −17.7992 | + | 29.1824i | −0.987321 | + | 1.61875i | ||||
\(326\) | 8.04952 | + | 9.28964i | 0.445822 | + | 0.514506i | ||||
\(327\) | −1.42826 | + | 6.56562i | −0.0789832 | + | 0.363080i | ||||
\(328\) | −0.198495 | − | 2.77533i | −0.0109601 | − | 0.153242i | ||||
\(329\) | 1.43179 | − | 9.95835i | 0.0789374 | − | 0.549022i | ||||
\(330\) | 7.62896 | + | 12.5202i | 0.419961 | + | 0.689214i | ||||
\(331\) | 17.3472 | + | 11.1484i | 0.953487 | + | 0.612769i | 0.922188 | − | 0.386741i | \(-0.126399\pi\) |
0.0312988 | + | 0.999510i | \(0.490036\pi\) | |||||||
\(332\) | −9.68345 | − | 7.24894i | −0.531448 | − | 0.397837i | ||||
\(333\) | −1.73448 | + | 4.65033i | −0.0950490 | + | 0.254836i | ||||
\(334\) | −22.9806 | + | 10.4949i | −1.25744 | + | 0.574254i | ||||
\(335\) | 19.0272 | + | 7.62056i | 1.03957 | + | 0.416356i | ||||
\(336\) | 1.28404 | − | 1.99800i | 0.0700499 | − | 0.109000i | ||||
\(337\) | 3.18001 | − | 5.82375i | 0.173226 | − | 0.317240i | −0.776614 | − | 0.629977i | \(-0.783064\pi\) |
0.949840 | + | 0.312738i | \(0.101246\pi\) | |||||||
\(338\) | −20.2177 | − | 27.0077i | −1.09970 | − | 1.46903i | ||||
\(339\) | −9.88961 | + | 11.4132i | −0.537130 | + | 0.619881i | ||||
\(340\) | 6.72409 | − | 0.319331i | 0.364665 | − | 0.0173182i | ||||
\(341\) | −15.8297 | + | 13.7165i | −0.857227 | + | 0.742791i | ||||
\(342\) | 1.86935 | − | 1.02074i | 0.101083 | − | 0.0551953i | ||||
\(343\) | −14.3724 | + | 5.36062i | −0.776035 | + | 0.289446i | ||||
\(344\) | −8.43271 | −0.454661 | ||||||||
\(345\) | 15.5397 | − | 13.7381i | 0.836628 | − | 0.739633i | ||||
\(346\) | −15.2328 | −0.818922 | ||||||||
\(347\) | 9.31595 | − | 3.47467i | 0.500106 | − | 0.186530i | −0.0867358 | − | 0.996231i | \(-0.527644\pi\) |
0.586842 | + | 0.809701i | \(0.300371\pi\) | |||||||
\(348\) | 8.98227 | − | 4.90469i | 0.481500 | − | 0.262919i | ||||
\(349\) | −5.68455 | + | 4.92569i | −0.304287 | + | 0.263666i | −0.793597 | − | 0.608444i | \(-0.791794\pi\) |
0.489310 | + | 0.872110i | \(0.337249\pi\) | |||||||
\(350\) | 2.81493 | − | 5.45632i | 0.150464 | − | 0.291653i | ||||
\(351\) | −19.5608 | + | 22.5744i | −1.04408 | + | 1.20493i | ||||
\(352\) | 2.03153 | + | 2.71381i | 0.108281 | + | 0.144646i | ||||
\(353\) | 11.6693 | − | 21.3708i | 0.621097 | − | 1.13745i | −0.357935 | − | 0.933746i | \(-0.616519\pi\) |
0.979032 | − | 0.203707i | \(-0.0652990\pi\) | |||||||
\(354\) | −8.10076 | + | 12.6050i | −0.430551 | + | 0.669950i | ||||
\(355\) | −3.70655 | − | 8.65908i | −0.196723 | − | 0.459576i | ||||
\(356\) | −10.2112 | + | 4.66329i | −0.541192 | + | 0.247154i | ||||
\(357\) | 2.49867 | − | 6.69919i | 0.132244 | − | 0.354559i | ||||
\(358\) | −12.5429 | − | 9.38946i | −0.662910 | − | 0.496248i | ||||
\(359\) | −13.4835 | − | 8.66533i | −0.711633 | − | 0.457339i | 0.134084 | − | 0.990970i | \(-0.457191\pi\) |
−0.845717 | + | 0.533631i | \(0.820827\pi\) | |||||||
\(360\) | −1.61019 | − | 0.390875i | −0.0848645 | − | 0.0206009i | ||||
\(361\) | 1.52826 | − | 10.6292i | 0.0804345 | − | 0.559434i | ||||
\(362\) | 0.247759 | + | 3.46413i | 0.0130219 | + | 0.182070i | ||||
\(363\) | −0.202225 | + | 0.929615i | −0.0106141 | + | 0.0487921i | ||||
\(364\) | 5.49734 | + | 6.34426i | 0.288139 | + | 0.332530i | ||||
\(365\) | −1.24855 | + | 1.19014i | −0.0653521 | + | 0.0622950i | ||||
\(366\) | 4.39813 | + | 2.00856i | 0.229894 | + | 0.104989i | ||||
\(367\) | −13.8234 | + | 13.8234i | −0.721574 | + | 0.721574i | −0.968926 | − | 0.247352i | \(-0.920440\pi\) |
0.247352 | + | 0.968926i | \(0.420440\pi\) | |||||||
\(368\) | 3.27432 | − | 3.50411i | 0.170686 | − | 0.182665i | ||||
\(369\) | 2.06181i | 0.107333i | ||||||||
\(370\) | −2.48579 | + | 14.7693i | −0.129230 | + | 0.767821i | ||||
\(371\) | 12.3905 | + | 3.63818i | 0.643283 | + | 0.188885i | ||||
\(372\) | 0.852555 | − | 11.9203i | 0.0442029 | − | 0.618038i | ||||
\(373\) | 28.6578 | + | 6.23412i | 1.48384 | + | 0.322791i | 0.880254 | − | 0.474504i | \(-0.157372\pi\) |
0.603591 | + | 0.797294i | \(0.293736\pi\) | |||||||
\(374\) | 7.71278 | + | 6.68317i | 0.398819 | + | 0.345578i | ||||
\(375\) | −21.4032 | − | 3.08682i | −1.10526 | − | 0.159403i | ||||
\(376\) | −7.86138 | + | 2.30831i | −0.405420 | + | 0.119042i | ||||
\(377\) | 7.68914 | + | 35.3464i | 0.396011 | + | 1.82043i | ||||
\(378\) | 3.21522 | − | 4.29503i | 0.165373 | − | 0.220912i | ||||
\(379\) | −1.51456 | − | 3.31643i | −0.0777979 | − | 0.170354i | 0.866736 | − | 0.498767i | \(-0.166214\pi\) |
−0.944534 | + | 0.328413i | \(0.893486\pi\) | |||||||
\(380\) | 4.95663 | − | 4.09134i | 0.254270 | − | 0.209881i | ||||
\(381\) | 1.67315 | + | 11.6370i | 0.0857179 | + | 0.596181i | ||||
\(382\) | −5.09238 | + | 1.10778i | −0.260549 | + | 0.0566789i | ||||
\(383\) | −22.4606 | − | 12.2644i | −1.14768 | − | 0.626682i | −0.211216 | − | 0.977440i | \(-0.567742\pi\) |
−0.936466 | + | 0.350758i | \(0.885924\pi\) | |||||||
\(384\) | −1.91448 | − | 0.275261i | −0.0976980 | − | 0.0140469i | ||||
\(385\) | 8.79646 | − | 3.04306i | 0.448309 | − | 0.155089i | ||||
\(386\) | −8.59273 | + | 5.52221i | −0.437358 | + | 0.281073i | ||||
\(387\) | 6.23282 | + | 0.445780i | 0.316832 | + | 0.0226603i | ||||
\(388\) | −3.08641 | − | 5.65233i | −0.156689 | − | 0.286954i | ||||
\(389\) | 8.13773 | − | 17.8191i | 0.412599 | − | 0.903466i | −0.583237 | − | 0.812302i | \(-0.698214\pi\) |
0.995836 | − | 0.0911640i | \(-0.0290587\pi\) | |||||||
\(390\) | 14.7873 | − | 25.6038i | 0.748783 | − | 1.29650i | ||||
\(391\) | 7.38968 | − | 12.4034i | 0.373712 | − | 0.627265i | ||||
\(392\) | 3.88356 | + | 3.88356i | 0.196150 | + | 0.196150i | ||||
\(393\) | −1.63201 | − | 4.37559i | −0.0823241 | − | 0.220719i | ||||
\(394\) | 3.59878 | − | 12.2563i | 0.181304 | − | 0.617464i | ||||
\(395\) | 7.17529 | + | 4.85789i | 0.361028 | + | 0.244427i | ||||
\(396\) | −1.35809 | − | 2.11324i | −0.0682468 | − | 0.106194i | ||||
\(397\) | −10.1587 | + | 0.726566i | −0.509851 | + | 0.0364653i | −0.323896 | − | 0.946093i | \(-0.604993\pi\) |
−0.185956 | + | 0.982558i | \(0.559538\pi\) | |||||||
\(398\) | 10.5106 | − | 7.86811i | 0.526847 | − | 0.394393i | ||||
\(399\) | −1.92324 | − | 6.54995i | −0.0962824 | − | 0.327908i | ||||
\(400\) | −4.99427 | − | 0.239357i | −0.249713 | − | 0.0119679i | ||||
\(401\) | 4.96565 | − | 0.713952i | 0.247973 | − | 0.0356531i | −0.0172077 | − | 0.999852i | \(-0.505478\pi\) |
0.265180 | + | 0.964199i | \(0.414569\pi\) | |||||||
\(402\) | −16.6114 | − | 6.19574i | −0.828502 | − | 0.309015i | ||||
\(403\) | 39.5773 | + | 14.7616i | 1.97148 | + | 0.735325i | ||||
\(404\) | −9.36192 | + | 1.34604i | −0.465773 | + | 0.0669681i | ||||
\(405\) | −22.7333 | − | 7.27067i | −1.12963 | − | 0.361283i | ||||
\(406\) | −1.83049 | − | 6.23406i | −0.0908455 | − | 0.309391i | ||||
\(407\) | −18.1769 | + | 13.6071i | −0.900997 | + | 0.674478i | ||||
\(408\) | −5.80797 | + | 0.415394i | −0.287538 | + | 0.0205651i | ||||
\(409\) | 15.0034 | + | 23.3458i | 0.741872 | + | 1.15437i | 0.982951 | + | 0.183869i | \(0.0588623\pi\) |
−0.241079 | + | 0.970505i | \(0.577501\pi\) | |||||||
\(410\) | 1.17657 | + | 6.10941i | 0.0581068 | + | 0.301722i | ||||
\(411\) | 8.87593 | − | 30.2286i | 0.437817 | − | 1.49107i | ||||
\(412\) | −0.807867 | − | 2.16597i | −0.0398007 | − | 0.106710i | ||||
\(413\) | 6.72638 | + | 6.72638i | 0.330983 | + | 0.330983i | ||||
\(414\) | −2.60537 | + | 2.41689i | −0.128047 | + | 0.118783i | ||||
\(415\) | 23.4221 | + | 13.5273i | 1.14975 | + | 0.664028i | ||||
\(416\) | 2.83996 | − | 6.21864i | 0.139240 | − | 0.304894i | ||||
\(417\) | −2.19141 | − | 4.01327i | −0.107314 | − | 0.196531i | ||||
\(418\) | 9.71886 | + | 0.695107i | 0.475365 | + | 0.0339988i | ||||
\(419\) | −9.79338 | + | 6.29382i | −0.478438 | + | 0.307473i | −0.757541 | − | 0.652788i | \(-0.773599\pi\) |
0.279103 | + | 0.960261i | \(0.409963\pi\) | |||||||
\(420\) | −2.32118 | + | 4.77659i | −0.113262 | + | 0.233074i | ||||
\(421\) | −15.7117 | − | 2.25899i | −0.765739 | − | 0.110097i | −0.251632 | − | 0.967823i | \(-0.580967\pi\) |
−0.514107 | + | 0.857726i | \(0.671876\pi\) | |||||||
\(422\) | 10.4743 | + | 5.71938i | 0.509880 | + | 0.278415i | ||||
\(423\) | 5.93256 | − | 1.29055i | 0.288451 | − | 0.0627487i | ||||
\(424\) | −1.49666 | − | 10.4095i | −0.0726843 | − | 0.505530i | ||||
\(425\) | −14.8448 | + | 2.49185i | −0.720078 | + | 0.120872i | ||||
\(426\) | 3.38453 | + | 7.41108i | 0.163981 | + | 0.359068i | ||||
\(427\) | 1.83954 | − | 2.45734i | 0.0890216 | − | 0.118919i | ||||
\(428\) | 0.203658 | + | 0.936201i | 0.00984418 | + | 0.0452530i | ||||
\(429\) | 43.0092 | − | 12.6286i | 2.07650 | − | 0.609717i | ||||
\(430\) | 18.7231 | − | 2.23587i | 0.902907 | − | 0.107823i | ||||
\(431\) | −11.3614 | − | 9.84467i | −0.547257 | − | 0.474201i | 0.336802 | − | 0.941575i | \(-0.390655\pi\) |
−0.884060 | + | 0.467374i | \(0.845200\pi\) | |||||||
\(432\) | −4.26941 | − | 0.928754i | −0.205412 | − | 0.0446847i | ||||
\(433\) | 0.139823 | − | 1.95499i | 0.00671949 | − | 0.0939507i | −0.992986 | − | 0.118235i | \(-0.962276\pi\) |
0.999705 | + | 0.0242847i | \(0.00773081\pi\) | |||||||
\(434\) | −7.27973 | − | 2.13752i | −0.349438 | − | 0.102604i | ||||
\(435\) | −18.6428 | + | 13.2714i | −0.893855 | + | 0.636316i | ||||
\(436\) | − | 3.47393i | − | 0.166371i | ||||||
\(437\) | −1.44866 | − | 13.7082i | −0.0692987 | − | 0.655752i | ||||
\(438\) | 1.05502 | − | 1.05502i | 0.0504109 | − | 0.0504109i | ||||
\(439\) | 20.0871 | + | 9.17346i | 0.958704 | + | 0.437825i | 0.832406 | − | 0.554167i | \(-0.186963\pi\) |
0.126298 | + | 0.991992i | \(0.459690\pi\) | |||||||
\(440\) | −5.23014 | − | 5.48680i | −0.249337 | − | 0.261573i | ||||
\(441\) | −2.66514 | − | 3.07574i | −0.126911 | − | 0.146464i | ||||
\(442\) | 4.37482 | − | 20.1107i | 0.208089 | − | 0.956569i | ||||
\(443\) | 0.872890 | + | 12.2046i | 0.0414722 | + | 0.579858i | 0.975122 | + | 0.221670i | \(0.0711507\pi\) |
−0.933650 | + | 0.358188i | \(0.883395\pi\) | |||||||
\(444\) | 1.84368 | − | 12.8231i | 0.0874973 | − | 0.608557i | ||||
\(445\) | 21.4354 | − | 13.0613i | 1.01613 | − | 0.619165i | ||||
\(446\) | −21.7254 | − | 13.9621i | −1.02873 | − | 0.661123i | ||||
\(447\) | −26.3961 | − | 19.7599i | −1.24849 | − | 0.934611i | ||||
\(448\) | −0.429118 | + | 1.15051i | −0.0202739 | + | 0.0543564i | ||||
\(449\) | −29.4535 | + | 13.4510i | −1.39000 | + | 0.634790i | −0.963009 | − | 0.269468i | \(-0.913152\pi\) |
−0.426987 | + | 0.904258i | \(0.640425\pi\) | |||||||
\(450\) | 3.67873 | + | 0.440928i | 0.173417 | + | 0.0207855i | ||||
\(451\) | −5.09948 | + | 7.93495i | −0.240125 | + | 0.373642i | ||||
\(452\) | 3.74194 | − | 6.85285i | 0.176006 | − | 0.322331i | ||||
\(453\) | 12.3546 | + | 16.5038i | 0.580470 | + | 0.775417i | ||||
\(454\) | 12.3790 | − | 14.2862i | 0.580977 | − | 0.670483i | ||||
\(455\) | −13.8878 | − | 12.6285i | −0.651071 | − | 0.592035i | ||||
\(456\) | −4.20146 | + | 3.64059i | −0.196752 | + | 0.170486i | ||||
\(457\) | 16.8155 | − | 9.18193i | 0.786594 | − | 0.429513i | −0.0351413 | − | 0.999382i | \(-0.511188\pi\) |
0.821735 | + | 0.569870i | \(0.193006\pi\) | |||||||
\(458\) | −15.0981 | + | 5.63130i | −0.705488 | + | 0.263133i | ||||
\(459\) | −13.1537 | −0.613960 | ||||||||
\(460\) | −6.34086 | + | 8.64832i | −0.295644 | + | 0.403230i | ||||
\(461\) | 3.60200 | 0.167762 | 0.0838809 | − | 0.996476i | \(-0.473268\pi\) | ||||
0.0838809 | + | 0.996476i | \(0.473268\pi\) | |||||||
\(462\) | −7.54362 | + | 2.81362i | −0.350961 | + | 0.130902i | ||||
\(463\) | −32.5481 | + | 17.7726i | −1.51264 | + | 0.825963i | −0.999477 | − | 0.0323300i | \(-0.989707\pi\) |
−0.513160 | + | 0.858293i | \(0.671525\pi\) | |||||||
\(464\) | −3.99884 | + | 3.46501i | −0.185641 | + | 0.160859i | ||||
\(465\) | 1.26765 | + | 26.6925i | 0.0587857 | + | 1.23784i | ||||
\(466\) | 13.8357 | − | 15.9672i | 0.640926 | − | 0.739668i | ||||
\(467\) | 9.73712 | + | 13.0073i | 0.450580 | + | 0.601905i | 0.967108 | − | 0.254366i | \(-0.0818667\pi\) |
−0.516528 | + | 0.856270i | \(0.672776\pi\) | |||||||
\(468\) | −2.42782 | + | 4.44622i | −0.112226 | + | 0.205527i | ||||
\(469\) | −6.08525 | + | 9.46883i | −0.280991 | + | 0.437230i | ||||
\(470\) | 16.8425 | − | 7.20950i | 0.776888 | − | 0.332550i | ||||
\(471\) | 34.7884 | − | 15.8873i | 1.60296 | − | 0.732049i | ||||
\(472\) | 2.70723 | − | 7.25837i | 0.124610 | − | 0.334093i | ||||
\(473\) | 22.8847 | + | 17.1313i | 1.05224 | + | 0.787698i | ||||
\(474\) | −6.30536 | − | 4.05221i | −0.289615 | − | 0.186124i | ||||
\(475\) | −9.92039 | + | 10.3982i | −0.455179 | + | 0.477101i | ||||
\(476\) | −0.526092 | + | 3.65905i | −0.0241134 | + | 0.167712i | ||||
\(477\) | 0.555939 | + | 7.77304i | 0.0254547 | + | 0.355903i | ||||
\(478\) | −2.56668 | + | 11.7988i | −0.117397 | + | 0.539667i | ||||
\(479\) | −7.69236 | − | 8.87745i | −0.351473 | − | 0.405621i | 0.552292 | − | 0.833651i | \(-0.313753\pi\) |
−0.903765 | + | 0.428030i | \(0.859208\pi\) | |||||||
\(480\) | 4.32370 | + | 0.103550i | 0.197349 | + | 0.00472639i | ||||
\(481\) | 41.6521 | + | 19.0219i | 1.89917 | + | 0.867323i | ||||
\(482\) | −8.44570 | + | 8.44570i | −0.384691 | + | 0.384691i | ||||
\(483\) | 5.79432 | + | 9.80627i | 0.263651 | + | 0.446201i | ||||
\(484\) | − | 0.491868i | − | 0.0223576i | ||||||
\(485\) | 8.35140 | + | 11.7315i | 0.379218 | + | 0.532700i | ||||
\(486\) | 7.23210 | + | 2.12353i | 0.328055 | + | 0.0963255i | ||||
\(487\) | −1.16504 | + | 16.2893i | −0.0527929 | + | 0.738141i | 0.900263 | + | 0.435346i | \(0.143374\pi\) |
−0.953056 | + | 0.302794i | \(0.902080\pi\) | |||||||
\(488\) | −2.44269 | − | 0.531374i | −0.110575 | − | 0.0240542i | ||||
\(489\) | 17.9677 | + | 15.5691i | 0.812530 | + | 0.704061i | ||||
\(490\) | −9.65234 | − | 7.59295i | −0.436048 | − | 0.343015i | ||||
\(491\) | 37.4107 | − | 10.9848i | 1.68832 | − | 0.495736i | 0.710241 | − | 0.703959i | \(-0.248586\pi\) |
0.978081 | + | 0.208223i | \(0.0667679\pi\) | |||||||
\(492\) | −1.14396 | − | 5.25868i | −0.0515735 | − | 0.237079i | ||||
\(493\) | −9.54601 | + | 12.7520i | −0.429931 | + | 0.574320i | ||||
\(494\) | −8.16282 | − | 17.8741i | −0.367262 | − | 0.804193i | ||||
\(495\) | 3.57567 | + | 4.33191i | 0.160715 | + | 0.194705i | ||||
\(496\) | 0.879326 | + | 6.11585i | 0.0394829 | + | 0.274610i | ||||
\(497\) | 5.05422 | − | 1.09948i | 0.226713 | − | 0.0493184i | ||||
\(498\) | −20.5342 | − | 11.2125i | −0.920157 | − | 0.502444i | ||||
\(499\) | 17.6253 | + | 2.53413i | 0.789016 | + | 0.113443i | 0.525031 | − | 0.851083i | \(-0.324054\pi\) |
0.263985 | + | 0.964527i | \(0.414963\pi\) | |||||||
\(500\) | 11.1522 | − | 0.792748i | 0.498742 | − | 0.0354528i | ||||
\(501\) | −41.1071 | + | 26.4179i | −1.83653 | + | 1.18027i | ||||
\(502\) | 1.00838 | + | 0.0721210i | 0.0450063 | + | 0.00321892i | ||||
\(503\) | 3.40276 | + | 6.23170i | 0.151722 | + | 0.277858i | 0.942475 | − | 0.334278i | \(-0.108492\pi\) |
−0.790753 | + | 0.612136i | \(0.790311\pi\) | |||||||
\(504\) | 0.377991 | − | 0.827685i | 0.0168371 | − | 0.0368680i | ||||
\(505\) | 20.4293 | − | 5.47085i | 0.909093 | − | 0.243449i | ||||
\(506\) | −16.0046 | + | 2.85761i | −0.711491 | + | 0.127036i | ||||
\(507\) | −46.1407 | − | 46.1407i | −2.04918 | − | 2.04918i | ||||
\(508\) | −2.12418 | − | 5.69516i | −0.0942454 | − | 0.252682i | ||||
\(509\) | 3.19265 | − | 10.8732i | 0.141512 | − | 0.481944i | −0.857985 | − | 0.513675i | \(-0.828284\pi\) |
0.999496 | + | 0.0317306i | \(0.0101019\pi\) | |||||||
\(510\) | 12.7853 | − | 2.46224i | 0.566141 | − | 0.109030i | ||||
\(511\) | −0.512111 | − | 0.796861i | −0.0226545 | − | 0.0352511i | ||||
\(512\) | 0.997452 | − | 0.0713392i | 0.0440816 | − | 0.00315278i | ||||
\(513\) | −10.0536 | + | 7.52601i | −0.443876 | + | 0.332281i | ||||
\(514\) | 2.58842 | + | 8.81535i | 0.114170 | + | 0.388829i | ||||
\(515\) | 2.36799 | + | 4.59490i | 0.104346 | + | 0.202475i | ||||
\(516\) | −16.1443 | + | 2.32120i | −0.710712 | + | 0.102185i | ||||
\(517\) | 26.0237 | + | 9.70632i | 1.14452 | + | 0.426884i | ||||
\(518\) | −7.70604 | − | 2.87420i | −0.338584 | − | 0.126285i | ||||
\(519\) | −29.1630 | + | 4.19301i | −1.28011 | + | 0.184053i | ||||
\(520\) | −4.65671 | + | 14.5602i | −0.204210 | + | 0.638507i | ||||
\(521\) | 2.48744 | + | 8.47144i | 0.108977 | + | 0.371141i | 0.995865 | − | 0.0908429i | \(-0.0289561\pi\) |
−0.886889 | + | 0.461984i | \(0.847138\pi\) | |||||||
\(522\) | 3.13881 | − | 2.34968i | 0.137382 | − | 0.102843i | ||||
\(523\) | −23.7469 | + | 1.69841i | −1.03838 | + | 0.0742664i | −0.580103 | − | 0.814543i | \(-0.696988\pi\) |
−0.458277 | + | 0.888809i | \(0.651533\pi\) | |||||||
\(524\) | 1.30537 | + | 2.03120i | 0.0570255 | + | 0.0887334i | ||||
\(525\) | 3.88723 | − | 11.2209i | 0.169652 | − | 0.489719i | ||||
\(526\) | −2.02369 | + | 6.89206i | −0.0882372 | + | 0.300508i | ||||
\(527\) | 6.50040 | + | 17.4283i | 0.283162 | + | 0.759187i | ||||
\(528\) | 4.63634 | + | 4.63634i | 0.201771 | + | 0.201771i | ||||
\(529\) | 7.95951 | + | 21.5788i | 0.346066 | + | 0.938210i | ||||
\(530\) | 6.08303 | + | 22.7153i | 0.264230 | + | 0.986691i | ||||
\(531\) | −2.38468 | + | 5.22172i | −0.103486 | + | 0.226604i | ||||
\(532\) | 1.69146 | + | 3.09769i | 0.0733343 | + | 0.134302i | ||||
\(533\) | 18.9733 | + | 1.35700i | 0.821827 | + | 0.0587782i | ||||
\(534\) | −18.2655 | + | 11.7385i | −0.790426 | + | 0.507976i | ||||
\(535\) | −0.700407 | − | 2.02464i | −0.0302812 | − | 0.0875329i | ||||
\(536\) | 9.07304 | + | 1.30451i | 0.391896 | + | 0.0563461i | ||||
\(537\) | −26.5976 | − | 14.5234i | −1.14777 | − | 0.626731i | ||||
\(538\) | −7.37753 | + | 1.60488i | −0.318068 | + | 0.0691915i | ||||
\(539\) | −2.64966 | − | 18.4288i | −0.114129 | − | 0.793786i | ||||
\(540\) | 9.72560 | + | 0.930104i | 0.418523 | + | 0.0400253i | ||||
\(541\) | −10.9010 | − | 23.8698i | −0.468669 | − | 1.02624i | −0.985425 | − | 0.170109i | \(-0.945588\pi\) |
0.516756 | − | 0.856133i | \(-0.327139\pi\) | |||||||
\(542\) | 12.7383 | − | 17.0164i | 0.547156 | − | 0.730915i | ||||
\(543\) | 1.42787 | + | 6.56381i | 0.0612757 | + | 0.281680i | ||||
\(544\) | 2.88855 | − | 0.848154i | 0.123846 | − | 0.0363643i | ||||
\(545\) | 0.921086 | + | 7.71315i | 0.0394550 | + | 0.330395i | ||||
\(546\) | 12.2709 | + | 10.6328i | 0.525145 | + | 0.455041i | ||||
\(547\) | −11.5243 | − | 2.50695i | −0.492743 | − | 0.107190i | −0.0406736 | − | 0.999172i | \(-0.512950\pi\) |
−0.452069 | + | 0.891983i | \(0.649314\pi\) | |||||||
\(548\) | −1.16201 | + | 16.2470i | −0.0496387 | + | 0.694039i | ||||
\(549\) | 1.77736 | + | 0.521880i | 0.0758558 | + | 0.0222733i | ||||
\(550\) | 13.0672 | + | 10.7956i | 0.557188 | + | 0.460325i | ||||
\(551\) | 15.2084i | 0.647900i | ||||||||
\(552\) | 5.30409 | − | 7.60986i | 0.225757 | − | 0.323897i | ||||
\(553\) | −3.36470 | + | 3.36470i | −0.143082 | + | 0.143082i | ||||
\(554\) | 23.7061 | + | 10.8262i | 1.00717 | + | 0.459961i | ||||
\(555\) | −0.693572 | + | 28.9599i | −0.0294405 | + | 1.22928i | ||||
\(556\) | 1.54817 | + | 1.78668i | 0.0656569 | + | 0.0757721i | ||||
\(557\) | 6.63181 | − | 30.4859i | 0.280999 | − | 1.29173i | −0.592764 | − | 0.805376i | \(-0.701963\pi\) |
0.873762 | − | 0.486353i | \(-0.161673\pi\) | |||||||
\(558\) | −0.326628 | − | 4.56686i | −0.0138273 | − | 0.193330i | ||||
\(559\) | 8.20440 | − | 57.0629i | 0.347009 | − | 2.41350i | ||||
\(560\) | 0.647718 | − | 2.66824i | 0.0273711 | − | 0.112754i | ||||
\(561\) | 16.6056 | + | 10.6718i | 0.701089 | + | 0.450563i | ||||
\(562\) | 20.8225 | + | 15.5875i | 0.878344 | + | 0.657520i | ||||
\(563\) | −5.69451 | + | 15.2676i | −0.239995 | + | 0.643451i | −0.999979 | − | 0.00649040i | \(-0.997934\pi\) |
0.759984 | + | 0.649942i | \(0.225207\pi\) | |||||||
\(564\) | −14.4151 | + | 6.58315i | −0.606985 | + | 0.277201i | ||||
\(565\) | −6.49122 | + | 16.2075i | −0.273088 | + | 0.681854i | ||||
\(566\) | −14.9884 | + | 23.3224i | −0.630010 | + | 0.980314i | ||||
\(567\) | 6.28144 | − | 11.5036i | 0.263796 | − | 0.483106i | ||||
\(568\) | −2.52435 | − | 3.37213i | −0.105919 | − | 0.141492i | ||||
\(569\) | 11.4435 | − | 13.2065i | 0.479736 | − | 0.553645i | −0.463358 | − | 0.886171i | \(-0.653356\pi\) |
0.943094 | + | 0.332526i | \(0.107901\pi\) | |||||||
\(570\) | 8.36321 | − | 9.19716i | 0.350296 | − | 0.385227i | ||||
\(571\) | 17.9309 | − | 15.5372i | 0.750384 | − | 0.650211i | −0.193270 | − | 0.981146i | \(-0.561909\pi\) |
0.943654 | + | 0.330935i | \(0.107364\pi\) | |||||||
\(572\) | −20.3405 | + | 11.1067i | −0.850477 | + | 0.464396i | ||||
\(573\) | −9.44435 | + | 3.52256i | −0.394543 | + | 0.147157i | ||||
\(574\) | −3.41661 | −0.142607 | ||||||||
\(575\) | 11.7855 | − | 20.8830i | 0.491491 | − | 0.870883i | ||||
\(576\) | −0.741013 | −0.0308755 | ||||||||
\(577\) | −11.6423 | + | 4.34235i | −0.484674 | + | 0.180774i | −0.579910 | − | 0.814681i | \(-0.696912\pi\) |
0.0952356 | + | 0.995455i | \(0.469640\pi\) | |||||||
\(578\) | −6.96607 | + | 3.80376i | −0.289750 | + | 0.158216i | ||||
\(579\) | −14.9306 | + | 12.9374i | −0.620494 | + | 0.537661i | ||||
\(580\) | 7.95987 | − | 8.75360i | 0.330515 | − | 0.363473i | ||||
\(581\) | −9.72678 | + | 11.2253i | −0.403535 | + | 0.465704i | ||||
\(582\) | −7.46474 | − | 9.97173i | −0.309423 | − | 0.413341i | ||||
\(583\) | −17.0856 | + | 31.2899i | −0.707613 | + | 1.29590i | ||||
\(584\) | −0.417053 | + | 0.648947i | −0.0172578 | + | 0.0268536i | ||||
\(585\) | 4.21159 | − | 10.5156i | 0.174128 | − | 0.434768i | ||||
\(586\) | 25.7028 | − | 11.7381i | 1.06177 | − | 0.484896i | ||||
\(587\) | −1.93614 | + | 5.19098i | −0.0799129 | + | 0.214255i | −0.970762 | − | 0.240045i | \(-0.922838\pi\) |
0.890849 | + | 0.454300i | \(0.150110\pi\) | |||||||
\(588\) | 8.50401 | + | 6.36602i | 0.350699 | + | 0.262530i | ||||
\(589\) | 14.9401 | + | 9.60145i | 0.615598 | + | 0.395621i | ||||
\(590\) | −4.08635 | + | 16.8335i | −0.168232 | + | 0.693024i | ||||
\(591\) | 3.51611 | − | 24.4551i | 0.144634 | − | 1.00595i | ||||
\(592\) | 0.477826 | + | 6.68088i | 0.0196385 | + | 0.274582i | ||||
\(593\) | −6.50107 | + | 29.8849i | −0.266967 | + | 1.22723i | 0.626973 | + | 0.779041i | \(0.284294\pi\) |
−0.893940 | + | 0.448186i | \(0.852070\pi\) | |||||||
\(594\) | 9.69957 | + | 11.1939i | 0.397978 | + | 0.459291i | ||||
\(595\) | 0.197910 | − | 8.26365i | 0.00811351 | − | 0.338777i | ||||
\(596\) | 15.5070 | + | 7.08181i | 0.635191 | + | 0.290082i | ||||
\(597\) | 17.9565 | − | 17.9565i | 0.734911 | − | 0.734911i | ||||
\(598\) | 20.5261 | + | 25.5661i | 0.839376 | + | 1.04548i | ||||
\(599\) | 7.13312i | 0.291451i | 0.989325 | + | 0.145726i | \(0.0465517\pi\) | ||||
−0.989325 | + | 0.145726i | \(0.953448\pi\) | |||||||
\(600\) | −9.62732 | + | 0.916482i | −0.393034 | + | 0.0374152i | ||||
\(601\) | 17.7450 | + | 5.21042i | 0.723836 | + | 0.212537i | 0.622840 | − | 0.782350i | \(-0.285979\pi\) |
0.100996 | + | 0.994887i | \(0.467797\pi\) | |||||||
\(602\) | −0.738701 | + | 10.3284i | −0.0301072 | + | 0.420954i | ||||
\(603\) | −6.63715 | − | 1.44382i | −0.270286 | − | 0.0587970i | ||||
\(604\) | −8.05535 | − | 6.98000i | −0.327767 | − | 0.284012i | ||||
\(605\) | 0.130415 | + | 1.09209i | 0.00530212 | + | 0.0443998i | ||||
\(606\) | −17.5527 | + | 5.15395i | −0.713031 | + | 0.209365i | ||||
\(607\) | −8.21220 | − | 37.7509i | −0.333323 | − | 1.53226i | −0.773177 | − | 0.634191i | \(-0.781333\pi\) |
0.439854 | − | 0.898069i | \(-0.355030\pi\) | |||||||
\(608\) | 1.72249 | − | 2.30097i | 0.0698561 | − | 0.0933168i | ||||
\(609\) | −5.22043 | − | 11.4311i | −0.211542 | − | 0.463213i | ||||
\(610\) | 5.56437 | + | 0.532146i | 0.225295 | + | 0.0215460i | ||||
\(611\) | −7.97144 | − | 55.4426i | −0.322490 | − | 2.24297i | ||||
\(612\) | −2.17983 | + | 0.474194i | −0.0881146 | + | 0.0191682i | ||||
\(613\) | −30.4571 | − | 16.6308i | −1.23015 | − | 0.671713i | −0.273198 | − | 0.961958i | \(-0.588082\pi\) |
−0.956953 | + | 0.290245i | \(0.906263\pi\) | |||||||
\(614\) | −20.2622 | − | 2.91327i | −0.817717 | − | 0.117570i | ||||
\(615\) | 3.93421 | + | 11.3725i | 0.158643 | + | 0.458583i | ||||
\(616\) | 3.50184 | − | 2.25049i | 0.141093 | − | 0.0906750i | ||||
\(617\) | −34.6946 | − | 2.48141i | −1.39675 | − | 0.0998978i | −0.647442 | − | 0.762115i | \(-0.724161\pi\) |
−0.749312 | + | 0.662217i | \(0.769616\pi\) | |||||||
\(618\) | −2.14286 | − | 3.92435i | −0.0861983 | − | 0.157860i | ||||
\(619\) | −7.95624 | + | 17.4217i | −0.319788 | + | 0.700238i | −0.999446 | − | 0.0332912i | \(-0.989401\pi\) |
0.679658 | + | 0.733530i | \(0.262128\pi\) | |||||||
\(620\) | −3.57393 | − | 13.3458i | −0.143532 | − | 0.535981i | ||||
\(621\) | 13.1777 | − | 16.2920i | 0.528803 | − | 0.653775i | ||||
\(622\) | 10.1859 | + | 10.1859i | 0.408416 | + | 0.408416i | ||||
\(623\) | 4.81711 | + | 12.9152i | 0.192994 | + | 0.517436i | ||||
\(624\) | 3.72530 | − | 12.6872i | 0.149131 | − | 0.507895i | ||||
\(625\) | −24.5510 | + | 4.71705i | −0.982038 | + | 0.188682i | ||||
\(626\) | 13.3598 | + | 20.7882i | 0.533964 | + | 0.830864i | ||||
\(627\) | 18.7979 | − | 1.34445i | 0.750717 | − | 0.0536923i | ||||
\(628\) | −15.8291 | + | 11.8495i | −0.631652 | + | 0.472848i | ||||
\(629\) | 5.68089 | + | 19.3473i | 0.226512 | + | 0.771429i | ||||
\(630\) | −0.619796 | + | 1.93792i | −0.0246933 | + | 0.0772087i | ||||
\(631\) | −28.4882 | + | 4.09599i | −1.13410 | + | 0.163059i | −0.683696 | − | 0.729767i | \(-0.739629\pi\) |
−0.450403 | + | 0.892825i | \(0.648720\pi\) | |||||||
\(632\) | 3.63082 | + | 1.35423i | 0.144426 | + | 0.0538682i | ||||
\(633\) | 21.6271 | + | 8.06650i | 0.859601 | + | 0.320615i | ||||
\(634\) | −14.7575 | + | 2.12180i | −0.586094 | + | 0.0842676i | ||||
\(635\) | 6.22633 | + | 12.0817i | 0.247085 | + | 0.479448i | ||||
\(636\) | −5.73066 | − | 19.5169i | −0.227236 | − | 0.773893i | ||||
\(637\) | −30.0579 | + | 22.5011i | −1.19094 | + | 0.891525i | ||||
\(638\) | 17.8913 | − | 1.27961i | 0.708325 | − | 0.0506604i | ||||
\(639\) | 1.68755 | + | 2.62587i | 0.0667583 | + | 0.103878i | ||||
\(640\) | −2.19572 | + | 0.422860i | −0.0867935 | + | 0.0167150i | ||||
\(641\) | 7.58857 | − | 25.8443i | 0.299731 | − | 1.02079i | −0.662615 | − | 0.748960i | \(-0.730554\pi\) |
0.962346 | − | 0.271828i | \(-0.0876283\pi\) | |||||||
\(642\) | 0.647599 | + | 1.73628i | 0.0255587 | + | 0.0685255i | ||||
\(643\) | −8.89632 | − | 8.89632i | −0.350837 | − | 0.350837i | 0.509584 | − | 0.860421i | \(-0.329799\pi\) |
−0.860421 | + | 0.509584i | \(0.829799\pi\) | |||||||
\(644\) | −4.00501 | − | 4.31735i | −0.157820 | − | 0.170128i | ||||
\(645\) | 35.2296 | − | 9.43426i | 1.38716 | − | 0.371474i | ||||
\(646\) | 3.59458 | − | 7.87103i | 0.141427 | − | 0.309682i | ||||
\(647\) | 10.3165 | + | 18.8933i | 0.405585 | + | 0.742774i | 0.998024 | − | 0.0628418i | \(-0.0200163\pi\) |
−0.592438 | + | 0.805616i | \(0.701835\pi\) | |||||||
\(648\) | −10.6467 | − | 0.761470i | −0.418244 | − | 0.0299134i | ||||
\(649\) | −22.0925 | + | 14.1980i | −0.867206 | + | 0.557320i | ||||
\(650\) | 6.47875 | − | 33.5626i | 0.254117 | − | 1.31643i | ||||
\(651\) | −14.5253 | − | 2.08842i | −0.569291 | − | 0.0818517i | ||||
\(652\) | −10.7884 | − | 5.89091i | −0.422506 | − | 0.230706i | ||||
\(653\) | 6.31659 | − | 1.37409i | 0.247187 | − | 0.0537723i | −0.0872645 | − | 0.996185i | \(-0.527813\pi\) |
0.334452 | + | 0.942413i | \(0.391449\pi\) | |||||||
\(654\) | −0.956239 | − | 6.65079i | −0.0373919 | − | 0.260066i | ||||
\(655\) | −3.43687 | − | 4.16375i | −0.134289 | − | 0.162691i | ||||
\(656\) | 1.15586 | + | 2.53097i | 0.0451287 | + | 0.0988180i | ||||
\(657\) | 0.342559 | − | 0.457606i | 0.0133645 | − | 0.0178529i | ||||
\(658\) | 2.13857 | + | 9.83083i | 0.0833700 | + | 0.383246i | ||||
\(659\) | 11.2516 | − | 3.30376i | 0.438298 | − | 0.128696i | −0.0551364 | − | 0.998479i | \(-0.517559\pi\) |
0.493435 | + | 0.869783i | \(0.335741\pi\) | |||||||
\(660\) | −11.5233 | − | 9.06474i | −0.448544 | − | 0.352844i | ||||
\(661\) | −18.8706 | − | 16.3515i | −0.733982 | − | 0.635999i | 0.205476 | − | 0.978662i | \(-0.434126\pi\) |
−0.939458 | + | 0.342663i | \(0.888671\pi\) | |||||||
\(662\) | −20.1494 | − | 4.38323i | −0.783128 | − | 0.170359i | ||||
\(663\) | 2.83982 | − | 39.7058i | 0.110289 | − | 1.54205i | ||||
\(664\) | 11.6062 | + | 3.40787i | 0.450406 | + | 0.132251i | ||||
\(665\) | −4.57687 | − | 6.42929i | −0.177484 | − | 0.249317i | ||||
\(666\) | − | 4.96326i | − | 0.192322i | ||||||
\(667\) | −6.23103 | − | 24.5989i | −0.241266 | − | 0.952473i | ||||
\(668\) | 17.8641 | − | 17.8641i | 0.691181 | − | 0.691181i | ||||
\(669\) | −45.4361 | − | 20.7500i | −1.75666 | − | 0.802240i | ||||
\(670\) | −20.4907 | − | 0.490740i | −0.791624 | − | 0.0189589i | ||||
\(671\) | 5.54948 | + | 6.40444i | 0.214235 | + | 0.247241i | ||||
\(672\) | −0.504848 | + | 2.32075i | −0.0194749 | + | 0.0895248i | ||||
\(673\) | −3.42165 | − | 47.8409i | −0.131895 | − | 1.84413i | −0.446350 | − | 0.894859i | \(-0.647276\pi\) |
0.314455 | − | 0.949272i | \(-0.398178\pi\) | |||||||
\(674\) | −0.944315 | + | 6.56786i | −0.0363737 | + | 0.252984i | ||||
\(675\) | −21.8403 | + | 0.513562i | −0.840633 | + | 0.0197670i | ||||
\(676\) | 28.3812 | + | 18.2395i | 1.09159 | + | 0.701520i | ||||
\(677\) | 20.2806 | + | 15.1819i | 0.779448 | + | 0.583487i | 0.913193 | − | 0.407528i | \(-0.133609\pi\) |
−0.133745 | + | 0.991016i | \(0.542700\pi\) | |||||||
\(678\) | 5.27756 | − | 14.1497i | 0.202683 | − | 0.543415i | ||||
\(679\) | −7.19335 | + | 3.28509i | −0.276056 | + | 0.126070i | ||||
\(680\) | −6.18854 | + | 2.64903i | −0.237320 | + | 0.101586i | ||||
\(681\) | 19.7670 | − | 30.7581i | 0.757474 | − | 1.17865i | ||||
\(682\) | 10.0382 | − | 18.3836i | 0.384383 | − | 0.703945i | ||||
\(683\) | −17.5202 | − | 23.4042i | −0.670392 | − | 0.895538i | 0.328407 | − | 0.944536i | \(-0.393488\pi\) |
−0.998799 | + | 0.0489979i | \(0.984397\pi\) | |||||||
\(684\) | −1.39477 | + | 1.60965i | −0.0533304 | + | 0.0615465i | ||||
\(685\) | −1.72777 | − | 36.3813i | −0.0660147 | − | 1.39006i | ||||
\(686\) | 11.5928 | − | 10.0453i | 0.442617 | − | 0.383530i | ||||
\(687\) | −27.3550 | + | 14.9369i | −1.04366 | + | 0.569880i | ||||
\(688\) | 7.90102 | − | 2.94693i | 0.301224 | − | 0.112351i | ||||
\(689\) | 71.8957 | 2.73901 | ||||||||
\(690\) | −9.75893 | + | 18.3025i | −0.371516 | + | 0.696762i | ||||
\(691\) | 24.3592 | 0.926668 | 0.463334 | − | 0.886184i | \(-0.346653\pi\) | ||||
0.463334 | + | 0.886184i | \(0.346653\pi\) | |||||||
\(692\) | 14.2724 | − | 5.32333i | 0.542555 | − | 0.202363i | ||||
\(693\) | −2.70726 | + | 1.47828i | −0.102840 | + | 0.0561551i | ||||
\(694\) | −7.51430 | + | 6.51118i | −0.285239 | + | 0.247161i | ||||
\(695\) | −3.91111 | − | 3.55647i | −0.148357 | − | 0.134904i | ||||
\(696\) | −6.70192 | + | 7.73443i | −0.254036 | + | 0.293173i | ||||
\(697\) | 5.01982 | + | 6.70569i | 0.190139 | + | 0.253996i | ||||
\(698\) | 3.60479 | − | 6.60167i | 0.136443 | − | 0.249877i | ||||
\(699\) | 22.0930 | − | 34.3774i | 0.835635 | − | 1.30027i | ||||
\(700\) | −0.730660 | + | 6.09602i | −0.0276164 | + | 0.230408i | ||||
\(701\) | −25.1061 | + | 11.4656i | −0.948244 | + | 0.433049i | −0.828646 | − | 0.559774i | \(-0.810888\pi\) |
−0.119599 | + | 0.992822i | \(0.538161\pi\) | |||||||
\(702\) | 10.4386 | − | 27.9869i | 0.393978 | − | 1.05630i | ||||
\(703\) | 15.4118 | + | 11.5371i | 0.581267 | + | 0.435131i | ||||
\(704\) | −2.85182 | − | 1.83275i | −0.107482 | − | 0.0690745i | ||||
\(705\) | 30.2602 | − | 18.4386i | 1.13967 | − | 0.694436i | ||||
\(706\) | −3.46526 | + | 24.1014i | −0.130417 | + | 0.907068i | ||||
\(707\) | 0.828533 | + | 11.5844i | 0.0311602 | + | 0.435677i | ||||
\(708\) | 3.18500 | − | 14.6412i | 0.119700 | − | 0.550250i | ||||
\(709\) | −25.9265 | − | 29.9208i | −0.973691 | − | 1.12370i | −0.992298 | − | 0.123872i | \(-0.960469\pi\) |
0.0186073 | − | 0.999827i | \(-0.494077\pi\) | |||||||
\(710\) | 6.49889 | + | 6.81781i | 0.243899 | + | 0.255868i | ||||
\(711\) | −2.61204 | − | 1.19288i | −0.0979591 | − | 0.0447364i | ||||
\(712\) | 7.93771 | − | 7.93771i | 0.297478 | − | 0.297478i | ||||
\(713\) | −28.0988 | − | 9.40877i | −1.05231 | − | 0.352361i | ||||
\(714\) | 7.15000i | 0.267582i | ||||||||
\(715\) | 42.2169 | − | 30.0533i | 1.57882 | − | 1.12393i | ||||
\(716\) | 15.0333 | + | 4.41418i | 0.561821 | + | 0.164965i | ||||
\(717\) | −1.66610 | + | 23.2952i | −0.0622218 | + | 0.869975i | ||||
\(718\) | 15.6616 | + | 3.40697i | 0.584486 | + | 0.127147i | ||||
\(719\) | −3.42425 | − | 2.96713i | −0.127703 | − | 0.110655i | 0.588668 | − | 0.808375i | \(-0.299653\pi\) |
−0.716371 | + | 0.697720i | \(0.754198\pi\) | |||||||
\(720\) | 1.64527 | − | 0.196474i | 0.0613154 | − | 0.00732214i | ||||
\(721\) | −2.72366 | + | 0.799738i | −0.101434 | + | 0.0297838i | ||||
\(722\) | 2.28264 | + | 10.4931i | 0.0849512 | + | 0.390514i | ||||
\(723\) | −13.8444 | + | 18.4939i | −0.514878 | + | 0.687796i | ||||
\(724\) | −1.44273 | − | 3.15913i | −0.0536185 | − | 0.117408i | ||||
\(725\) | −15.3523 | + | 21.5460i | −0.570170 | + | 0.800200i | ||||
\(726\) | −0.135392 | − | 0.941673i | −0.00502487 | − | 0.0349488i | ||||
\(727\) | 26.3207 | − | 5.72571i | 0.976180 | − | 0.212355i | 0.303942 | − | 0.952690i | \(-0.401697\pi\) |
0.672238 | + | 0.740336i | \(0.265333\pi\) | |||||||
\(728\) | −7.36782 | − | 4.02313i | −0.273070 | − | 0.149107i | ||||
\(729\) | −17.2656 | − | 2.48242i | −0.639468 | − | 0.0919416i | ||||
\(730\) | 0.753916 | − | 1.55143i | 0.0279037 | − | 0.0574210i | ||||
\(731\) | 21.3566 | − | 13.7250i | 0.789902 | − | 0.507639i | ||||
\(732\) | −4.82275 | − | 0.344930i | −0.178254 | − | 0.0127490i | ||||
\(733\) | 16.8430 | + | 30.8456i | 0.622110 | + | 1.13931i | 0.978748 | + | 0.205067i | \(0.0657411\pi\) |
−0.356638 | + | 0.934243i | \(0.616077\pi\) | |||||||
\(734\) | 8.12103 | − | 17.7826i | 0.299753 | − | 0.656367i | ||||
\(735\) | −20.5693 | − | 11.8797i | −0.758710 | − | 0.438188i | ||||
\(736\) | −1.84331 | + | 4.42744i | −0.0679454 | + | 0.163197i | ||||
\(737\) | −21.9723 | − | 21.9723i | −0.809361 | − | 0.809361i | ||||
\(738\) | −0.720527 | − | 1.93181i | −0.0265230 | − | 0.0711108i | ||||
\(739\) | 8.09710 | − | 27.5762i | 0.297857 | − | 1.01441i | −0.665548 | − | 0.746355i | \(-0.731802\pi\) |
0.963405 | − | 0.268052i | \(-0.0863798\pi\) | |||||||
\(740\) | −2.83230 | − | 14.7068i | −0.104117 | − | 0.540633i | ||||
\(741\) | −20.5476 | − | 31.9727i | −0.754835 | − | 1.17455i | ||||
\(742\) | −12.8807 | + | 0.921245i | −0.472865 | + | 0.0338200i | ||||
\(743\) | −29.1376 | + | 21.8121i | −1.06895 | + | 0.800210i | −0.980627 | − | 0.195882i | \(-0.937243\pi\) |
−0.0883274 | + | 0.996091i | \(0.528152\pi\) | |||||||
\(744\) | 3.36691 | + | 11.4666i | 0.123437 | + | 0.420387i | ||||
\(745\) | −36.3078 | − | 11.6121i | −1.33021 | − | 0.425435i | ||||
\(746\) | −29.0295 | + | 4.17381i | −1.06285 | + | 0.152814i | ||||
\(747\) | −8.39824 | − | 3.13238i | −0.307276 | − | 0.114608i | ||||
\(748\) | −9.56202 | − | 3.56645i | −0.349622 | − | 0.130402i | ||||
\(749\) | 1.16450 | − | 0.167430i | 0.0425499 | − | 0.00611775i | ||||
\(750\) | 21.1325 | − | 4.58747i | 0.771649 | − | 0.167511i | ||||
\(751\) | 2.27644 | + | 7.75284i | 0.0830685 | + | 0.282905i | 0.990543 | − | 0.137202i | \(-0.0438108\pi\) |
−0.907475 | + | 0.420107i | \(0.861993\pi\) | |||||||
\(752\) | 6.55904 | − | 4.91004i | 0.239184 | − | 0.179051i | ||||
\(753\) | 1.95038 | − | 0.139494i | 0.0710759 | − | 0.00508345i | ||||
\(754\) | −19.5566 | − | 30.4307i | −0.712211 | − | 1.10822i | ||||
\(755\) | 19.7359 | + | 13.3618i | 0.718264 | + | 0.486287i | ||||
\(756\) | −1.51154 | + | 5.14783i | −0.0549741 | + | 0.187225i | ||||
\(757\) | −8.33650 | − | 22.3510i | −0.302995 | − | 0.812362i | −0.995827 | − | 0.0912623i | \(-0.970910\pi\) |
0.692832 | − | 0.721099i | \(-0.256363\pi\) | |||||||
\(758\) | 2.57805 | + | 2.57805i | 0.0936388 | + | 0.0936388i | ||||
\(759\) | −29.8539 | + | 9.87628i | −1.08363 | + | 0.358486i | ||||
\(760\) | −3.21434 | + | 5.56554i | −0.116596 | + | 0.201883i | ||||
\(761\) | −16.4549 | + | 36.0311i | −0.596489 | + | 1.30613i | 0.334952 | + | 0.942235i | \(0.391280\pi\) |
−0.931441 | + | 0.363893i | \(0.881447\pi\) | |||||||
\(762\) | −5.63437 | − | 10.3186i | −0.204112 | − | 0.373802i | ||||
\(763\) | −4.25488 | − | 0.304315i | −0.154037 | − | 0.0110169i | ||||
\(764\) | 4.38418 | − | 2.81754i | 0.158614 | − | 0.101935i | ||||
\(765\) | 4.71414 | − | 1.63082i | 0.170440 | − | 0.0589622i | ||||
\(766\) | 25.3304 | + | 3.64196i | 0.915225 | + | 0.131589i | ||||
\(767\) | 46.4823 | + | 25.3813i | 1.67838 | + | 0.916465i | ||||
\(768\) | 1.88997 | − | 0.411137i | 0.0681983 | − | 0.0148356i | ||||
\(769\) | 2.52310 | + | 17.5486i | 0.0909855 | + | 0.632818i | 0.983380 | + | 0.181561i | \(0.0581150\pi\) |
−0.892394 | + | 0.451257i | \(0.850976\pi\) | |||||||
\(770\) | −7.17840 | + | 5.92524i | −0.258692 | + | 0.213531i | ||||
\(771\) | 7.38201 | + | 16.1643i | 0.265857 | + | 0.582145i | ||||
\(772\) | 6.12114 | − | 8.17688i | 0.220305 | − | 0.294292i | ||||
\(773\) | −2.80311 | − | 12.8857i | −0.100821 | − | 0.463466i | −0.999682 | − | 0.0252315i | \(-0.991968\pi\) |
0.898861 | − | 0.438234i | \(-0.144396\pi\) | |||||||
\(774\) | −5.99562 | + | 1.76047i | −0.215508 | + | 0.0632789i | ||||
\(775\) | 11.4737 | + | 28.6840i | 0.412148 | + | 1.03036i | ||||
\(776\) | 4.86710 | + | 4.21736i | 0.174719 | + | 0.151395i | ||||
\(777\) | −15.5442 | − | 3.38144i | −0.557646 | − | 0.121309i | ||||
\(778\) | −1.39749 | + | 19.5395i | −0.0501025 | + | 0.700524i | ||||
\(779\) | 7.67347 | + | 2.25314i | 0.274931 | + | 0.0807269i | ||||
\(780\) | −4.90734 | + | 29.1571i | −0.175711 | + | 1.04399i | ||||
\(781\) | 14.2796i | 0.510965i | ||||||||
\(782\) | −2.58923 | + | 14.2038i | −0.0925907 | + | 0.507925i | ||||
\(783\) | −16.3474 | + | 16.3474i | −0.584209 | + | 0.584209i | ||||
\(784\) | −4.99587 | − | 2.28154i | −0.178424 | − | 0.0814835i | ||||
\(785\) | 32.0035 | − | 30.5064i | 1.14225 | − | 1.08882i | ||||
\(786\) | 3.05822 | + | 3.52938i | 0.109083 | + | 0.125889i | ||||
\(787\) | −3.10021 | + | 14.2514i | −0.110511 | + | 0.508009i | 0.888301 | + | 0.459263i | \(0.151886\pi\) |
−0.998811 | + | 0.0487465i | \(0.984477\pi\) | |||||||
\(788\) | 0.911268 | + | 12.7412i | 0.0324626 | + | 0.453886i | ||||
\(789\) | −1.97721 | + | 13.7518i | −0.0703905 | + | 0.489576i | ||||
\(790\) | −8.42054 | − | 2.04409i | −0.299589 | − | 0.0727256i | ||||
\(791\) | −8.06559 | − | 5.18344i | −0.286779 | − | 0.184302i | ||||
\(792\) | 2.01097 | + | 1.50539i | 0.0714566 | + | 0.0534917i | ||||
\(793\) | 5.97228 | − | 16.0123i | 0.212082 | − | 0.568614i | ||||
\(794\) | 9.26430 | − | 4.23086i | 0.328778 | − | 0.150148i | ||||
\(795\) | 17.8985 | + | 41.8137i | 0.634794 | + | 1.48298i | ||||
\(796\) | −7.09825 | + | 11.0451i | −0.251591 | + | 0.391483i | ||||
\(797\) | −26.5996 | + | 48.7136i | −0.942207 | + | 1.72552i | −0.309972 | + | 0.950746i | \(0.600320\pi\) |
−0.632234 | + | 0.774777i | \(0.717862\pi\) | |||||||
\(798\) | 4.09095 | + | 5.46487i | 0.144818 | + | 0.193454i | ||||
\(799\) | 16.1526 | − | 18.6411i | 0.571440 | − | 0.659476i | ||||
\(800\) | 4.76302 | − | 1.52105i | 0.168398 | − | 0.0537773i | ||||
\(801\) | −6.28657 | + | 5.44735i | −0.222125 | + | 0.192473i | ||||
\(802\) | −4.40306 | + | 2.40425i | −0.155477 | + | 0.0848971i | ||||
\(803\) | 2.45016 | − | 0.913861i | 0.0864641 | − | 0.0322494i | ||||
\(804\) | 17.7293 | 0.625263 | ||||||||
\(805\) | 10.0370 | + | 8.52389i | 0.353758 | + | 0.300428i | ||||
\(806\) | −42.2405 | −1.48786 | ||||||||
\(807\) | −13.6824 | + | 5.10327i | −0.481643 | + | 0.179644i | ||||
\(808\) | 8.30126 | − | 4.53283i | 0.292037 | − | 0.159464i | ||||
\(809\) | 6.31919 | − | 5.47561i | 0.222171 | − | 0.192512i | −0.536662 | − | 0.843797i | \(-0.680315\pi\) |
0.758833 | + | 0.651285i | \(0.225770\pi\) | |||||||
\(810\) | 23.8408 | − | 1.13221i | 0.837680 | − | 0.0397819i | ||||
\(811\) | −14.6408 | + | 16.8963i | −0.514107 | + | 0.593311i | −0.952145 | − | 0.305645i | \(-0.901128\pi\) |
0.438039 | + | 0.898956i | \(0.355673\pi\) | |||||||
\(812\) | 3.89365 | + | 5.20131i | 0.136640 | + | 0.182530i | ||||
\(813\) | 19.7033 | − | 36.0839i | 0.691024 | − | 1.26552i | ||||
\(814\) | 12.2757 | − | 19.1013i | 0.430262 | − | 0.669501i | ||||
\(815\) | 25.5153 | + | 10.2191i | 0.893763 | + | 0.357959i | ||||
\(816\) | 5.29661 | − | 2.41888i | 0.185419 | − | 0.0846778i | ||||
\(817\) | 8.47028 | − | 22.7097i | 0.296338 | − | 0.794512i | ||||
\(818\) | −22.2160 | − | 16.6307i | −0.776763 | − | 0.581478i | ||||
\(819\) | 5.23306 | + | 3.36308i | 0.182858 | + | 0.117516i | ||||
\(820\) | −3.23741 | − | 5.31304i | −0.113055 | − | 0.185539i | ||||
\(821\) | 1.51923 | − | 10.5665i | 0.0530215 | − | 0.368773i | −0.945985 | − | 0.324210i | \(-0.894901\pi\) |
0.999007 | − | 0.0445626i | \(-0.0141894\pi\) | |||||||
\(822\) | 2.24753 | + | 31.4245i | 0.0783915 | + | 1.09606i | ||||
\(823\) | 2.91588 | − | 13.4041i | 0.101641 | − | 0.467236i | −0.897988 | − | 0.440019i | \(-0.854972\pi\) |
0.999630 | − | 0.0272174i | \(-0.00866464\pi\) | |||||||
\(824\) | 1.51386 | + | 1.74709i | 0.0527379 | + | 0.0608627i | ||||
\(825\) | 27.9886 | + | 17.0710i | 0.974437 | + | 0.594338i | ||||
\(826\) | −8.65290 | − | 3.95165i | −0.301073 | − | 0.137495i | ||||
\(827\) | −4.87874 | + | 4.87874i | −0.169650 | + | 0.169650i | −0.786826 | − | 0.617175i | \(-0.788277\pi\) |
0.617175 | + | 0.786826i | \(0.288277\pi\) | |||||||
\(828\) | 1.59649 | − | 3.17498i | 0.0554817 | − | 0.110338i | ||||
\(829\) | 38.5688i | 1.33955i | 0.742565 | + | 0.669774i | \(0.233609\pi\) | ||||
−0.742565 | + | 0.669774i | \(0.766391\pi\) | |||||||
\(830\) | −26.6726 | − | 4.48920i | −0.925820 | − | 0.155822i | ||||
\(831\) | 48.3649 | + | 14.2012i | 1.67776 | + | 0.492635i | ||||
\(832\) | −0.487706 | + | 6.81902i | −0.0169082 | + | 0.236407i | ||||
\(833\) | −16.1563 | − | 3.51460i | −0.559784 | − | 0.121774i | ||||
\(834\) | 3.45574 | + | 2.99442i | 0.119662 | + | 0.103688i | ||||
\(835\) | −34.9269 | + | 44.4000i | −1.20870 | + | 1.53652i | ||||
\(836\) | −9.34900 | + | 2.74511i | −0.323342 | + | 0.0949418i | ||||
\(837\) | 5.73853 | + | 26.3796i | 0.198352 | + | 0.911812i | ||||
\(838\) | 6.97644 | − | 9.31943i | 0.240997 | − | 0.321934i | ||||
\(839\) | −7.93709 | − | 17.3798i | −0.274019 | − | 0.600018i | 0.721725 | − | 0.692180i | \(-0.243349\pi\) |
−0.995744 | + | 0.0921621i | \(0.970622\pi\) | |||||||
\(840\) | 0.505582 | − | 5.28660i | 0.0174442 | − | 0.182405i | ||||
\(841\) | −0.142743 | − | 0.992796i | −0.00492216 | − | 0.0342343i | ||||
\(842\) | 15.5105 | − | 3.37410i | 0.534526 | − | 0.116279i | ||||
\(843\) | 44.1550 | + | 24.1104i | 1.52078 | + | 0.830408i | ||||
\(844\) | −11.8126 | − | 1.69839i | −0.406606 | − | 0.0584611i | ||||
\(845\) | −67.8507 | − | 32.9720i | −2.33414 | − | 1.13427i | ||||
\(846\) | −5.10751 | + | 3.28240i | −0.175600 | + | 0.112851i | ||||
\(847\) | −0.602441 | − | 0.0430874i | −0.0207001 | − | 0.00148050i | ||||
\(848\) | 5.04005 | + | 9.23016i | 0.173076 | + | 0.316965i | ||||
\(849\) | −22.2753 | + | 48.7761i | −0.764486 | + | 1.67399i | ||||
\(850\) | 13.0380 | − | 7.52246i | 0.447200 | − | 0.258018i | ||||
\(851\) | −29.6547 | − | 12.3464i | −1.01655 | − | 0.423229i | ||||
\(852\) | −5.76104 | − | 5.76104i | −0.197370 | − | 0.197370i | ||||
\(853\) | −8.90970 | − | 23.8878i | −0.305062 | − | 0.817904i | −0.995522 | − | 0.0945326i | \(-0.969864\pi\) |
0.690459 | − | 0.723371i | \(-0.257408\pi\) | |||||||
\(854\) | −0.864805 | + | 2.94526i | −0.0295930 | + | 0.100785i | ||||
\(855\) | 2.67001 | − | 3.94371i | 0.0913125 | − | 0.134872i | ||||
\(856\) | −0.517986 | − | 0.806002i | −0.0177044 | − | 0.0275486i | ||||
\(857\) | 8.17093 | − | 0.584396i | 0.279114 | − | 0.0199626i | 0.0689193 | − | 0.997622i | \(-0.478045\pi\) |
0.210194 | + | 0.977660i | \(0.432590\pi\) | |||||||
\(858\) | −35.8842 | + | 26.8626i | −1.22507 | + | 0.917073i | ||||
\(859\) | −6.68434 | − | 22.7648i | −0.228067 | − | 0.776724i | −0.991417 | − | 0.130739i | \(-0.958265\pi\) |
0.763350 | − | 0.645985i | \(-0.223553\pi\) | |||||||
\(860\) | −16.7612 | + | 8.63794i | −0.571553 | + | 0.294551i | ||||
\(861\) | −6.54105 | + | 0.940460i | −0.222918 | + | 0.0320508i | ||||
\(862\) | 14.0854 | + | 5.25358i | 0.479750 | + | 0.178937i | ||||
\(863\) | 40.3341 | + | 15.0438i | 1.37299 | + | 0.512098i | 0.924326 | − | 0.381604i | \(-0.124628\pi\) |
0.448662 | + | 0.893702i | \(0.351901\pi\) | |||||||
\(864\) | 4.32479 | − | 0.621811i | 0.147132 | − | 0.0211544i | ||||
\(865\) | −30.2775 | + | 15.6036i | −1.02946 | + | 0.530537i | ||||
\(866\) | 0.552191 | + | 1.88059i | 0.0187642 | + | 0.0639050i | ||||
\(867\) | −12.2894 | + | 9.19972i | −0.417369 | + | 0.312439i | ||||
\(868\) | 7.56772 | − | 0.541254i | 0.256865 | − | 0.0183714i | ||||
\(869\) | −7.10219 | − | 11.0512i | −0.240925 | − | 0.374887i | ||||
\(870\) | 12.8295 | − | 18.9497i | 0.434961 | − | 0.642454i | ||||
\(871\) | −17.6548 | + | 60.1267i | −0.598210 | + | 2.03732i | ||||
\(872\) | 1.21402 | + | 3.25490i | 0.0411118 | + | 0.110225i | ||||
\(873\) | −3.37445 | − | 3.37445i | −0.114208 | − | 0.114208i | ||||
\(874\) | 6.14784 | + | 12.3376i | 0.207954 | + | 0.417327i | ||||
\(875\) | 0.00596829 | − | 13.7287i | 0.000201765 | − | 0.464114i | ||||
\(876\) | −0.619810 | + | 1.35720i | −0.0209415 | + | 0.0458554i | ||||
\(877\) | −13.6185 | − | 24.9403i | −0.459862 | − | 0.842175i | −1.00000 | 0.000598267i | \(-0.999810\pi\) | |
0.540137 | − | 0.841577i | \(-0.318372\pi\) | |||||||
\(878\) | −22.0264 | − | 1.57536i | −0.743354 | − | 0.0531657i | ||||
\(879\) | 45.9765 | − | 29.5473i | 1.55075 | − | 0.996607i | ||||
\(880\) | 6.81782 | + | 3.31311i | 0.229829 | + | 0.111685i | ||||
\(881\) | −3.07893 | − | 0.442684i | −0.103732 | − | 0.0149144i | 0.0902534 | − | 0.995919i | \(-0.471232\pi\) |
−0.193985 | + | 0.981004i | \(0.562141\pi\) | |||||||
\(882\) | 3.57196 | + | 1.95044i | 0.120274 | + | 0.0656747i | ||||
\(883\) | 14.0083 | − | 3.04732i | 0.471418 | − | 0.102551i | 0.0294206 | − | 0.999567i | \(-0.490634\pi\) |
0.441997 | + | 0.897016i | \(0.354270\pi\) | |||||||
\(884\) | 2.92899 | + | 20.3716i | 0.0985126 | + | 0.685170i | ||||
\(885\) | −3.18963 | + | 33.3523i | −0.107218 | + | 1.12112i | ||||
\(886\) | −5.08292 | − | 11.1300i | −0.170764 | − | 0.373921i | ||||
\(887\) | 28.4059 | − | 37.9458i | 0.953777 | − | 1.27410i | −0.00791616 | − | 0.999969i | \(-0.502520\pi\) |
0.961693 | − | 0.274128i | \(-0.0883893\pi\) | |||||||
\(888\) | 2.75377 | + | 12.6589i | 0.0924106 | + | 0.424805i | ||||
\(889\) | −7.16151 | + | 2.10281i | −0.240189 | + | 0.0705260i | ||||
\(890\) | −15.5194 | + | 19.7287i | −0.520212 | + | 0.661307i | ||||
\(891\) | 27.3463 | + | 23.6957i | 0.916134 | + | 0.793835i | ||||
\(892\) | 25.2348 | + | 5.48950i | 0.844925 | + | 0.183802i | ||||
\(893\) | 1.68001 | − | 23.4897i | 0.0562196 | − | 0.786052i | ||||
\(894\) | 31.6372 | + | 9.28953i | 1.05811 | + | 0.310688i | ||||
\(895\) | −34.5487 | − | 5.81480i | −1.15484 | − | 0.194367i | ||||
\(896\) | − | 1.22793i | − | 0.0410223i | ||||||
\(897\) | 46.3343 | + | 43.2958i | 1.54706 | + | 1.44560i | ||||
\(898\) | 22.8958 | − | 22.8958i | 0.764043 | − | 0.764043i | ||||
\(899\) | 29.7386 | + | 13.5812i | 0.991839 | + | 0.452958i | ||||
\(900\) | −3.60088 | + | 0.872458i | −0.120029 | + | 0.0290819i | ||||
\(901\) | 20.7329 | + | 23.9271i | 0.690713 | + | 0.797126i | ||||
\(902\) | 2.00498 | − | 9.21674i | 0.0667585 | − | 0.306884i | ||||
\(903\) | 1.42877 | + | 19.9769i | 0.0475466 | + | 0.664788i | ||||
\(904\) | −1.11118 | + | 7.72845i | −0.0369574 | + | 0.257044i | ||||
\(905\) | 4.04089 | + | 6.63166i | 0.134324 | + | 0.220444i | ||||
\(906\) | −17.3431 | − | 11.1458i | −0.576187 | − | 0.370293i | ||||
\(907\) | −18.7164 | − | 14.0109i | −0.621467 | − | 0.465224i | 0.241558 | − | 0.970386i | \(-0.422342\pi\) |
−0.863024 | + | 0.505162i | \(0.831433\pi\) | |||||||
\(908\) | −6.60603 | + | 17.7114i | −0.219229 | + | 0.587775i | ||||
\(909\) | −6.37529 | + | 2.91150i | −0.211455 | + | 0.0965682i | ||||
\(910\) | 17.4254 | + | 6.97902i | 0.577647 | + | 0.231352i | ||||
\(911\) | 25.2316 | − | 39.2611i | 0.835959 | − | 1.30078i | −0.115595 | − | 0.993296i | \(-0.536877\pi\) |
0.951554 | − | 0.307481i | \(-0.0994862\pi\) | |||||||
\(912\) | 2.66430 | − | 4.87931i | 0.0882240 | − | 0.161570i | ||||
\(913\) | −24.5737 | − | 32.8266i | −0.813270 | − | 1.08640i | ||||
\(914\) | −12.5465 | + | 14.4794i | −0.415001 | + | 0.478936i | ||||
\(915\) | 10.7994 | − | 0.512869i | 0.357016 | − | 0.0169549i | ||||
\(916\) | 12.1782 | − | 10.5525i | 0.402380 | − | 0.348664i | ||||
\(917\) | 2.60217 | − | 1.42089i | 0.0859311 | − | 0.0469219i | ||||
\(918\) | 12.3243 | − | 4.59673i | 0.406763 | − | 0.151715i | ||||
\(919\) | 24.2999 | 0.801580 | 0.400790 | − | 0.916170i | \(-0.368736\pi\) | ||||
0.400790 | + | 0.916170i | \(0.368736\pi\) | |||||||
\(920\) | 2.91879 | − | 10.3189i | 0.0962298 | − | 0.340206i | ||||
\(921\) | −39.5936 | −1.30465 | ||||||||
\(922\) | −3.37489 | + | 1.25877i | −0.111146 | + | 0.0414554i | ||||
\(923\) | 25.2747 | − | 13.8010i | 0.831928 | − | 0.454267i | ||||
\(924\) | 6.08473 | − | 5.27245i | 0.200173 | − | 0.173451i | ||||
\(925\) | 10.1879 | + | 31.9025i | 0.334977 | + | 1.04895i | ||||
\(926\) | 24.2850 | − | 28.0264i | 0.798056 | − | 0.921005i | ||||
\(927\) | −1.02658 | − | 1.37134i | −0.0337172 | − | 0.0450409i | ||||
\(928\) | 2.53581 | − | 4.64399i | 0.0832421 | − | 0.152446i | ||||
\(929\) | 20.0501 | − | 31.1986i | 0.657824 | − | 1.02359i | −0.338749 | − | 0.940877i | \(-0.610004\pi\) |
0.996573 | − | 0.0827170i | \(-0.0263598\pi\) | |||||||
\(930\) | −10.5158 | − | 24.5666i | −0.344827 | − | 0.805570i | ||||
\(931\) | −14.3595 | + | 6.55776i | −0.470614 | + | 0.214922i | ||||
\(932\) | −7.38337 | + | 19.7956i | −0.241850 | + | 0.648426i | ||||
\(933\) | 22.3044 | + | 16.6969i | 0.730215 | + | 0.546632i | ||||
\(934\) | −13.6688 | − | 8.78438i | −0.447256 | − | 0.287434i | ||||
\(935\) | 22.1761 | + | 5.38326i | 0.725236 | + | 0.176052i | ||||
\(936\) | 0.720951 | − | 5.01432i | 0.0235650 | − | 0.163898i | ||||
\(937\) | 1.16943 | + | 16.3507i | 0.0382035 | + | 0.534155i | 0.980133 | + | 0.198343i | \(0.0635560\pi\) |
−0.941929 | + | 0.335812i | \(0.890989\pi\) | |||||||
\(938\) | 2.39255 | − | 10.9984i | 0.0781197 | − | 0.359110i | ||||
\(939\) | 31.2993 | + | 36.1213i | 1.02141 | + | 1.17877i | ||||
\(940\) | −13.2611 | + | 12.6408i | −0.432531 | + | 0.412298i | ||||
\(941\) | −32.4604 | − | 14.8242i | −1.05818 | − | 0.483254i | −0.191176 | − | 0.981556i | \(-0.561230\pi\) |
−0.867004 | + | 0.498302i | \(0.833957\pi\) | |||||||
\(942\) | −27.0429 | + | 27.0429i | −0.881105 | + | 0.881105i | ||||
\(943\) | −13.3346 | − | 0.500447i | −0.434235 | − | 0.0162968i | ||||
\(944\) | 7.74680i | 0.252137i | ||||||||
\(945\) | 1.99115 | − | 11.8305i | 0.0647721 | − | 0.384845i | ||||
\(946\) | −27.4286 | − | 8.05377i | −0.891782 | − | 0.261851i | ||||
\(947\) | 1.02820 | − | 14.3762i | 0.0334122 | − | 0.467163i | −0.953011 | − | 0.302937i | \(-0.902033\pi\) |
0.986423 | − | 0.164226i | \(-0.0525126\pi\) | |||||||
\(948\) | 7.32390 | + | 1.59322i | 0.237869 | + | 0.0517453i | ||||
\(949\) | −3.98556 | − | 3.45351i | −0.129377 | − | 0.112106i | ||||
\(950\) | 5.66112 | − | 13.2094i | 0.183671 | − | 0.428569i | ||||
\(951\) | −27.6689 | + | 8.12431i | −0.897224 | + | 0.263449i | ||||
\(952\) | −0.785785 | − | 3.61220i | −0.0254674 | − | 0.117072i | ||||
\(953\) | −13.8333 | + | 18.4791i | −0.448105 | + | 0.598598i | −0.966539 | − | 0.256519i | \(-0.917424\pi\) |
0.518434 | + | 0.855118i | \(0.326515\pi\) | |||||||
\(954\) | −3.23729 | − | 7.08867i | −0.104811 | − | 0.229504i | ||||
\(955\) | −8.98710 | + | 7.41819i | −0.290816 | + | 0.240047i | ||||
\(956\) | −1.71842 | − | 11.9519i | −0.0555777 | − | 0.386552i | ||||
\(957\) | 33.9004 | − | 7.37459i | 1.09585 | − | 0.238387i | ||||
\(958\) | 10.3097 | + | 5.62952i | 0.333091 | + | 0.181882i | ||||
\(959\) | 19.7976 | + | 2.84647i | 0.639298 | + | 0.0919172i | ||||
\(960\) | −4.08727 | + | 1.41396i | −0.131916 | + | 0.0456352i | ||||
\(961\) | 6.03749 | − | 3.88006i | 0.194758 | − | 0.125163i | ||||
\(962\) | −45.6734 | − | 3.26662i | −1.47257 | − | 0.105320i | ||||
\(963\) | 0.340248 | + | 0.623118i | 0.0109643 | + | 0.0200797i | ||||
\(964\) | 4.96172 | − | 10.8647i | 0.159806 | − | 0.349927i | ||||
\(965\) | −11.4227 | + | 19.7780i | −0.367709 | + | 0.636678i | ||||
\(966\) | −8.85593 | − | 7.16307i | −0.284935 | − | 0.230468i | ||||
\(967\) | 29.8120 | + | 29.8120i | 0.958690 | + | 0.958690i | 0.999180 | − | 0.0404896i | \(-0.0128918\pi\) |
−0.0404896 | + | 0.999180i | \(0.512892\pi\) | |||||||
\(968\) | 0.171890 | + | 0.460856i | 0.00552476 | + | 0.0148125i | ||||
\(969\) | 4.71517 | − | 16.0584i | 0.151473 | − | 0.515870i | ||||
\(970\) | −11.9246 | − | 8.07331i | −0.382875 | − | 0.259218i | ||||
\(971\) | 5.82284 | + | 9.06052i | 0.186864 | + | 0.290766i | 0.922028 | − | 0.387123i | \(-0.126531\pi\) |
−0.735164 | + | 0.677889i | \(0.762895\pi\) | |||||||
\(972\) | −7.51821 | + | 0.537713i | −0.241147 | + | 0.0172472i | ||||
\(973\) | 2.32395 | − | 1.73968i | 0.0745023 | − | 0.0557717i | ||||
\(974\) | −4.60096 | − | 15.6694i | −0.147424 | − | 0.502081i | ||||
\(975\) | 3.16498 | − | 66.0383i | 0.101360 | − | 2.11492i | ||||
\(976\) | 2.47437 | − | 0.355761i | 0.0792026 | − | 0.0113876i | ||||
\(977\) | −31.5678 | − | 11.7742i | −1.00994 | − | 0.376690i | −0.210606 | − | 0.977571i | \(-0.567544\pi\) |
−0.799338 | + | 0.600881i | \(0.794817\pi\) | |||||||
\(978\) | −22.2757 | − | 8.30842i | −0.712299 | − | 0.265674i | ||||
\(979\) | −37.6671 | + | 5.41572i | −1.20385 | + | 0.173087i | ||||
\(980\) | 11.6972 | + | 3.74106i | 0.373654 | + | 0.119504i | ||||
\(981\) | −0.725244 | − | 2.46996i | −0.0231553 | − | 0.0788596i | ||||
\(982\) | −31.2132 | + | 23.3659i | −0.996053 | + | 0.745636i | ||||
\(983\) | −6.26344 | + | 0.447970i | −0.199773 | + | 0.0142880i | −0.170867 | − | 0.985294i | \(-0.554657\pi\) |
−0.0289058 | + | 0.999582i | \(0.509202\pi\) | |||||||
\(984\) | 2.90955 | + | 4.52734i | 0.0927530 | + | 0.144326i | ||||
\(985\) | −5.40151 | − | 28.0476i | −0.172106 | − | 0.893670i | ||||
\(986\) | 4.48777 | − | 15.2839i | 0.142920 | − | 0.486740i | ||||
\(987\) | 6.80029 | + | 18.2323i | 0.216456 | + | 0.580340i | ||||
\(988\) | 13.8945 | + | 13.8945i | 0.442043 | + | 0.442043i | ||||
\(989\) | −4.39591 | + | 40.2022i | −0.139782 | + | 1.27836i | ||||
\(990\) | −4.86407 | − | 2.80921i | −0.154590 | − | 0.0892827i | ||||
\(991\) | 4.08645 | − | 8.94808i | 0.129810 | − | 0.284245i | −0.833555 | − | 0.552436i | \(-0.813698\pi\) |
0.963366 | + | 0.268191i | \(0.0864257\pi\) | |||||||
\(992\) | −2.96115 | − | 5.42295i | −0.0940167 | − | 0.172179i | ||||
\(993\) | −39.7822 | − | 2.84528i | −1.26245 | − | 0.0902922i | ||||
\(994\) | −4.35133 | + | 2.79643i | −0.138016 | + | 0.0886973i | ||||
\(995\) | 12.8317 | − | 26.4054i | 0.406791 | − | 0.837107i | ||||
\(996\) | 23.1578 | + | 3.32959i | 0.733784 | + | 0.105502i | ||||
\(997\) | −29.5968 | − | 16.1611i | −0.937340 | − | 0.511826i | −0.0634688 | − | 0.997984i | \(-0.520216\pi\) |
−0.873871 | + | 0.486157i | \(0.838398\pi\) | |||||||
\(998\) | −17.3996 | + | 3.78505i | −0.550774 | + | 0.119814i | ||||
\(999\) | 4.16486 | + | 28.9672i | 0.131770 | + | 0.916482i |
(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 | 230.2.l.a.17.2 | ✓ | 240 | |
5.3 | odd | 4 | inner | 230.2.l.a.63.8 | yes | 240 | |
23.19 | odd | 22 | inner | 230.2.l.a.157.8 | yes | 240 | |
115.88 | even | 44 | inner | 230.2.l.a.203.2 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.l.a.17.2 | ✓ | 240 | 1.1 | even | 1 | trivial | |
230.2.l.a.63.8 | yes | 240 | 5.3 | odd | 4 | inner | |
230.2.l.a.157.8 | yes | 240 | 23.19 | odd | 22 | inner | |
230.2.l.a.203.2 | yes | 240 | 115.88 | even | 44 | inner |