Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [185,2,Mod(8,185)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(185, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("185.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 185 = 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 185.u (of order \(12\), degree \(4\), 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: | \(1.47723243739\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 8.10 | ||
Character | \(\chi\) | \(=\) | 185.8 |
Dual form | 185.2.u.a.162.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/185\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.138202 | + | 0.0797909i | −0.0977235 | + | 0.0564207i | −0.548065 | − | 0.836436i | \(-0.684635\pi\) |
0.450342 | + | 0.892856i | \(0.351302\pi\) | |||||||
\(3\) | 0.607844 | + | 2.26850i | 0.350939 | + | 1.30972i | 0.885519 | + | 0.464604i | \(0.153803\pi\) |
−0.534580 | + | 0.845118i | \(0.679530\pi\) | |||||||
\(4\) | −0.987267 | + | 1.71000i | −0.493633 | + | 0.854998i | ||||
\(5\) | −2.23170 | + | 0.139678i | −0.998047 | + | 0.0624659i | ||||
\(6\) | −0.265011 | − | 0.265011i | −0.108190 | − | 0.108190i | ||||
\(7\) | −0.345018 | − | 1.28763i | −0.130405 | − | 0.486677i | 0.869570 | − | 0.493810i | \(-0.164396\pi\) |
−0.999975 | + | 0.00713298i | \(0.997729\pi\) | |||||||
\(8\) | − | 0.634263i | − | 0.224246i | ||||||
\(9\) | −2.17856 | + | 1.25779i | −0.726188 | + | 0.419265i | ||||
\(10\) | 0.297280 | − | 0.197373i | 0.0940083 | − | 0.0624149i | ||||
\(11\) | 1.11240i | 0.335401i | 0.985838 | + | 0.167701i | \(0.0536342\pi\) | ||||
−0.985838 | + | 0.167701i | \(0.946366\pi\) | |||||||
\(12\) | −4.47924 | − | 1.20021i | −1.29304 | − | 0.346470i | ||||
\(13\) | −0.0481476 | − | 0.0277980i | −0.0133537 | − | 0.00770979i | 0.493308 | − | 0.869855i | \(-0.335787\pi\) |
−0.506662 | + | 0.862145i | \(0.669121\pi\) | |||||||
\(14\) | 0.150423 | + | 0.150423i | 0.0402022 | + | 0.0402022i | ||||
\(15\) | −1.67339 | − | 4.97772i | −0.432066 | − | 1.28524i | ||||
\(16\) | −1.92393 | − | 3.33234i | −0.480981 | − | 0.833084i | ||||
\(17\) | 3.61951 | + | 6.26917i | 0.877860 | + | 1.52050i | 0.853685 | + | 0.520790i | \(0.174363\pi\) |
0.0241753 | + | 0.999708i | \(0.492304\pi\) | |||||||
\(18\) | 0.200721 | − | 0.347659i | 0.0473104 | − | 0.0819440i | ||||
\(19\) | −0.343087 | − | 1.28042i | −0.0787096 | − | 0.293748i | 0.915339 | − | 0.402684i | \(-0.131922\pi\) |
−0.994049 | + | 0.108935i | \(0.965256\pi\) | |||||||
\(20\) | 1.96444 | − | 3.95410i | 0.439261 | − | 0.884164i | ||||
\(21\) | 2.71127 | − | 1.56535i | 0.591647 | − | 0.341588i | ||||
\(22\) | −0.0887594 | − | 0.153736i | −0.0189236 | − | 0.0327766i | ||||
\(23\) | 8.74456i | 1.82337i | 0.410893 | + | 0.911684i | \(0.365217\pi\) | ||||
−0.410893 | + | 0.911684i | \(0.634783\pi\) | |||||||
\(24\) | 1.43883 | − | 0.385533i | 0.293700 | − | 0.0786966i | ||||
\(25\) | 4.96098 | − | 0.623439i | 0.992196 | − | 0.124688i | ||||
\(26\) | 0.00887212 | 0.00173997 | ||||||||
\(27\) | 0.804443 | + | 0.804443i | 0.154815 | + | 0.154815i | ||||
\(28\) | 2.54246 | + | 0.681250i | 0.480480 | + | 0.128744i | ||||
\(29\) | 1.31177 | + | 1.31177i | 0.243590 | + | 0.243590i | 0.818334 | − | 0.574743i | \(-0.194898\pi\) |
−0.574743 | + | 0.818334i | \(0.694898\pi\) | |||||||
\(30\) | 0.628442 | + | 0.554410i | 0.114737 | + | 0.101221i | ||||
\(31\) | −2.69825 | + | 2.69825i | −0.484620 | + | 0.484620i | −0.906604 | − | 0.421983i | \(-0.861334\pi\) |
0.421983 | + | 0.906604i | \(0.361334\pi\) | |||||||
\(32\) | 1.63036 | + | 0.941287i | 0.288209 | + | 0.166398i | ||||
\(33\) | −2.52349 | + | 0.676166i | −0.439282 | + | 0.117705i | ||||
\(34\) | −1.00045 | − | 0.577608i | −0.171575 | − | 0.0990589i | ||||
\(35\) | 0.949831 | + | 2.82541i | 0.160551 | + | 0.477581i | ||||
\(36\) | − | 4.96711i | − | 0.827852i | ||||||
\(37\) | 4.65243 | − | 3.91853i | 0.764855 | − | 0.644202i | ||||
\(38\) | 0.149581 | + | 0.149581i | 0.0242652 | + | 0.0242652i | ||||
\(39\) | 0.0337937 | − | 0.126120i | 0.00541133 | − | 0.0201954i | ||||
\(40\) | 0.0885926 | + | 1.41549i | 0.0140077 | + | 0.223808i | ||||
\(41\) | −7.72660 | − | 4.46095i | −1.20669 | − | 0.696684i | −0.244657 | − | 0.969610i | \(-0.578675\pi\) |
−0.962035 | + | 0.272926i | \(0.912009\pi\) | |||||||
\(42\) | −0.249802 | + | 0.432669i | −0.0385452 | + | 0.0667623i | ||||
\(43\) | 0.217083i | 0.0331049i | 0.999863 | + | 0.0165524i | \(0.00526904\pi\) | ||||
−0.999863 | + | 0.0165524i | \(0.994731\pi\) | |||||||
\(44\) | −1.90220 | − | 1.09824i | −0.286768 | − | 0.165565i | ||||
\(45\) | 4.68622 | − | 3.11132i | 0.698580 | − | 0.463808i | ||||
\(46\) | −0.697736 | − | 1.20851i | −0.102876 | − | 0.178186i | ||||
\(47\) | 4.91053 | − | 4.91053i | 0.716275 | − | 0.716275i | −0.251565 | − | 0.967840i | \(-0.580945\pi\) |
0.967840 | + | 0.251565i | \(0.0809454\pi\) | |||||||
\(48\) | 6.38997 | − | 6.38997i | 0.922313 | − | 0.922313i | ||||
\(49\) | 4.52323 | − | 2.61149i | 0.646176 | − | 0.373070i | ||||
\(50\) | −0.635872 | + | 0.482001i | −0.0899259 | + | 0.0681653i | ||||
\(51\) | −12.0216 | + | 12.0216i | −1.68335 | + | 1.68335i | ||||
\(52\) | 0.0950691 | − | 0.0548882i | 0.0131837 | − | 0.00761162i | ||||
\(53\) | 1.01308 | − | 3.78085i | 0.139157 | − | 0.519339i | −0.860790 | − | 0.508961i | \(-0.830030\pi\) |
0.999946 | − | 0.0103784i | \(-0.00330362\pi\) | |||||||
\(54\) | −0.175363 | − | 0.0469883i | −0.0238639 | − | 0.00639430i | ||||
\(55\) | −0.155378 | − | 2.48255i | −0.0209511 | − | 0.334746i | ||||
\(56\) | −0.816694 | + | 0.218832i | −0.109135 | + | 0.0292427i | ||||
\(57\) | 2.69609 | − | 1.55659i | 0.357106 | − | 0.206175i | ||||
\(58\) | −0.285957 | − | 0.0766220i | −0.0375480 | − | 0.0100610i | ||||
\(59\) | 3.05646 | + | 0.818977i | 0.397917 | + | 0.106622i | 0.452228 | − | 0.891902i | \(-0.350629\pi\) |
−0.0543104 | + | 0.998524i | \(0.517296\pi\) | |||||||
\(60\) | 10.1640 | + | 2.05286i | 1.31216 | + | 0.265023i | ||||
\(61\) | −2.80862 | − | 10.4819i | −0.359607 | − | 1.34207i | −0.874587 | − | 0.484868i | \(-0.838867\pi\) |
0.514980 | − | 0.857202i | \(-0.327799\pi\) | |||||||
\(62\) | 0.157607 | − | 0.588199i | 0.0200162 | − | 0.0747014i | ||||
\(63\) | 2.37121 | + | 2.37121i | 0.298745 | + | 0.298745i | ||||
\(64\) | 7.39528 | 0.924410 | ||||||||
\(65\) | 0.111334 | + | 0.0553118i | 0.0138093 | + | 0.00686058i | ||||
\(66\) | 0.294799 | − | 0.294799i | 0.0362872 | − | 0.0362872i | ||||
\(67\) | 0.291399 | − | 0.0780802i | 0.0356001 | − | 0.00953901i | −0.240975 | − | 0.970531i | \(-0.577467\pi\) |
0.276575 | + | 0.960992i | \(0.410801\pi\) | |||||||
\(68\) | −14.2937 | −1.73336 | ||||||||
\(69\) | −19.8371 | + | 5.31533i | −2.38810 | + | 0.639891i | ||||
\(70\) | −0.356710 | − | 0.314688i | −0.0426350 | − | 0.0376125i | ||||
\(71\) | 6.04561 | − | 10.4713i | 0.717482 | − | 1.24272i | −0.244513 | − | 0.969646i | \(-0.578628\pi\) |
0.961994 | − | 0.273069i | \(-0.0880387\pi\) | |||||||
\(72\) | 0.797772 | + | 1.38178i | 0.0940184 | + | 0.162845i | ||||
\(73\) | −1.05608 | + | 1.05608i | −0.123605 | + | 0.123605i | −0.766203 | − | 0.642598i | \(-0.777856\pi\) |
0.642598 | + | 0.766203i | \(0.277856\pi\) | |||||||
\(74\) | −0.330312 | + | 0.912770i | −0.0383980 | + | 0.106107i | ||||
\(75\) | 4.42978 | + | 10.8751i | 0.511507 | + | 1.25574i | ||||
\(76\) | 2.52823 | + | 0.677437i | 0.290008 | + | 0.0777073i | ||||
\(77\) | 1.43236 | − | 0.383799i | 0.163232 | − | 0.0437379i | ||||
\(78\) | 0.00539287 | + | 0.0201264i | 0.000610622 | + | 0.00227887i | ||||
\(79\) | 0.453290 | + | 1.69170i | 0.0509991 | + | 0.190331i | 0.986726 | − | 0.162394i | \(-0.0519216\pi\) |
−0.935727 | + | 0.352725i | \(0.885255\pi\) | |||||||
\(80\) | 4.75908 | + | 7.16805i | 0.532081 | + | 0.801412i | ||||
\(81\) | −5.10929 | + | 8.84955i | −0.567699 | + | 0.983283i | ||||
\(82\) | 1.42377 | 0.157229 | ||||||||
\(83\) | −2.55185 | + | 9.52365i | −0.280102 | + | 1.04536i | 0.672242 | + | 0.740331i | \(0.265331\pi\) |
−0.952344 | + | 0.305025i | \(0.901335\pi\) | |||||||
\(84\) | 6.18168i | 0.674477i | ||||||||
\(85\) | −8.95333 | − | 13.4854i | −0.971125 | − | 1.46269i | ||||
\(86\) | −0.0173213 | − | 0.0300013i | −0.00186780 | − | 0.00323512i | ||||
\(87\) | −2.17841 | + | 3.77312i | −0.233550 | + | 0.404521i | ||||
\(88\) | 0.705555 | 0.0752124 | ||||||||
\(89\) | −2.79459 | + | 10.4295i | −0.296225 | + | 1.10553i | 0.644014 | + | 0.765014i | \(0.277268\pi\) |
−0.940239 | + | 0.340515i | \(0.889399\pi\) | |||||||
\(90\) | −0.399389 | + | 0.803907i | −0.0420993 | + | 0.0847393i | ||||
\(91\) | −0.0191817 | + | 0.0715870i | −0.00201079 | + | 0.00750435i | ||||
\(92\) | −14.9532 | − | 8.63322i | −1.55898 | − | 0.900075i | ||||
\(93\) | −7.76111 | − | 4.48088i | −0.804790 | − | 0.464645i | ||||
\(94\) | −0.286829 | + | 1.07046i | −0.0295842 | + | 0.110410i | ||||
\(95\) | 0.944514 | + | 2.80959i | 0.0969051 | + | 0.288258i | ||||
\(96\) | −1.14431 | + | 4.27063i | −0.116791 | + | 0.435869i | ||||
\(97\) | 6.22783 | 0.632341 | 0.316170 | − | 0.948702i | \(-0.397603\pi\) | ||||
0.316170 | + | 0.948702i | \(0.397603\pi\) | |||||||
\(98\) | −0.416746 | + | 0.721826i | −0.0420977 | + | 0.0729154i | ||||
\(99\) | −1.39917 | − | 2.42343i | −0.140622 | − | 0.243564i | ||||
\(100\) | −3.83173 | + | 9.09876i | −0.383173 | + | 0.909876i | ||||
\(101\) | − | 6.20218i | − | 0.617140i | −0.951202 | − | 0.308570i | \(-0.900150\pi\) | ||
0.951202 | − | 0.308570i | \(-0.0998505\pi\) | |||||||
\(102\) | 0.702191 | − | 2.62061i | 0.0695272 | − | 0.259479i | ||||
\(103\) | 16.2214 | 1.59835 | 0.799173 | − | 0.601102i | \(-0.205271\pi\) | ||||
0.799173 | + | 0.601102i | \(0.205271\pi\) | |||||||
\(104\) | −0.0176313 | + | 0.0305383i | −0.00172889 | + | 0.00299452i | ||||
\(105\) | −5.83210 | + | 3.87210i | −0.569154 | + | 0.377878i | ||||
\(106\) | 0.161668 | + | 0.603355i | 0.0157026 | + | 0.0586030i | ||||
\(107\) | 1.81660 | + | 6.77965i | 0.175617 | + | 0.655413i | 0.996446 | + | 0.0842381i | \(0.0268456\pi\) |
−0.820828 | + | 0.571175i | \(0.806488\pi\) | |||||||
\(108\) | −2.16980 | + | 0.581395i | −0.208789 | + | 0.0559448i | ||||
\(109\) | −9.18715 | − | 2.46169i | −0.879970 | − | 0.235787i | −0.209576 | − | 0.977792i | \(-0.567208\pi\) |
−0.670394 | + | 0.742005i | \(0.733875\pi\) | |||||||
\(110\) | 0.219558 | + | 0.330695i | 0.0209340 | + | 0.0315305i | ||||
\(111\) | 11.7172 | + | 8.17221i | 1.11214 | + | 0.775672i | ||||
\(112\) | −3.62701 | + | 3.62701i | −0.342721 | + | 0.342721i | ||||
\(113\) | 5.93048 | + | 10.2719i | 0.557893 | + | 0.966299i | 0.997672 | + | 0.0681930i | \(0.0217234\pi\) |
−0.439779 | + | 0.898106i | \(0.644943\pi\) | |||||||
\(114\) | −0.248403 | + | 0.430247i | −0.0232651 | + | 0.0402963i | ||||
\(115\) | −1.22142 | − | 19.5153i | −0.113898 | − | 1.81981i | ||||
\(116\) | −3.53820 | + | 0.948058i | −0.328514 | + | 0.0880250i | ||||
\(117\) | 0.139857 | 0.0129298 | ||||||||
\(118\) | −0.487756 | + | 0.130694i | −0.0449015 | + | 0.0120313i | ||||
\(119\) | 6.82356 | − | 6.82356i | 0.625514 | − | 0.625514i | ||||
\(120\) | −3.15719 | + | 1.06137i | −0.288210 | + | 0.0968891i | ||||
\(121\) | 9.76257 | 0.887506 | ||||||||
\(122\) | 1.22452 | + | 1.22452i | 0.110863 | + | 0.110863i | ||||
\(123\) | 5.42313 | − | 20.2394i | 0.488987 | − | 1.82492i | ||||
\(124\) | −1.95011 | − | 7.27789i | −0.175125 | − | 0.653574i | ||||
\(125\) | −10.9843 | + | 2.08427i | −0.982470 | + | 0.186423i | ||||
\(126\) | −0.516907 | − | 0.138505i | −0.0460498 | − | 0.0123390i | ||||
\(127\) | −12.8468 | − | 3.44228i | −1.13997 | − | 0.305453i | −0.361029 | − | 0.932554i | \(-0.617575\pi\) |
−0.778938 | + | 0.627101i | \(0.784241\pi\) | |||||||
\(128\) | −4.28275 | + | 2.47265i | −0.378545 | + | 0.218553i | ||||
\(129\) | −0.492454 | + | 0.131953i | −0.0433582 | + | 0.0116178i | ||||
\(130\) | −0.0197999 | + | 0.00123924i | −0.00173657 | + | 0.000108689i | ||||
\(131\) | −15.3737 | − | 4.11937i | −1.34320 | − | 0.359911i | −0.485583 | − | 0.874191i | \(-0.661393\pi\) |
−0.857622 | + | 0.514280i | \(0.828059\pi\) | |||||||
\(132\) | 1.33511 | − | 4.98271i | 0.116207 | − | 0.433689i | ||||
\(133\) | −1.53033 | + | 0.883536i | −0.132696 | + | 0.0766123i | ||||
\(134\) | −0.0340418 | + | 0.0340418i | −0.00294077 | + | 0.00294077i | ||||
\(135\) | −1.90764 | − | 1.68291i | −0.164184 | − | 0.144842i | ||||
\(136\) | 3.97631 | − | 2.29572i | 0.340965 | − | 0.196856i | ||||
\(137\) | 4.99327 | − | 4.99327i | 0.426604 | − | 0.426604i | −0.460866 | − | 0.887470i | \(-0.652461\pi\) |
0.887470 | + | 0.460866i | \(0.152461\pi\) | |||||||
\(138\) | 2.31741 | − | 2.31741i | 0.197271 | − | 0.197271i | ||||
\(139\) | 8.10770 | + | 14.0430i | 0.687687 | + | 1.19111i | 0.972584 | + | 0.232550i | \(0.0747070\pi\) |
−0.284898 | + | 0.958558i | \(0.591960\pi\) | |||||||
\(140\) | −5.76917 | − | 1.16522i | −0.487584 | − | 0.0984792i | ||||
\(141\) | 14.1244 | + | 8.15473i | 1.18949 | + | 0.686752i | ||||
\(142\) | 1.92954i | 0.161923i | ||||||||
\(143\) | 0.0309226 | − | 0.0535594i | 0.00258587 | − | 0.00447886i | ||||
\(144\) | 8.38279 | + | 4.83980i | 0.698566 | + | 0.403317i | ||||
\(145\) | −3.11071 | − | 2.74426i | −0.258331 | − | 0.227899i | ||||
\(146\) | 0.0616867 | − | 0.230218i | 0.00510522 | − | 0.0190530i | ||||
\(147\) | 8.67360 | + | 8.67360i | 0.715386 | + | 0.715386i | ||||
\(148\) | 2.10748 | + | 11.8243i | 0.173234 | + | 0.971950i | ||||
\(149\) | − | 15.4776i | − | 1.26797i | −0.773345 | − | 0.633986i | \(-0.781418\pi\) | ||
0.773345 | − | 0.633986i | \(-0.218582\pi\) | |||||||
\(150\) | −1.47993 | − | 1.14950i | −0.120836 | − | 0.0938560i | ||||
\(151\) | 16.6145 | + | 9.59241i | 1.35207 | + | 0.780619i | 0.988540 | − | 0.150962i | \(-0.0482371\pi\) |
0.363533 | + | 0.931581i | \(0.381570\pi\) | |||||||
\(152\) | −0.812122 | + | 0.217607i | −0.0658718 | + | 0.0176503i | ||||
\(153\) | −15.7707 | − | 9.10520i | −1.27498 | − | 0.736111i | ||||
\(154\) | −0.167331 | + | 0.167331i | −0.0134839 | + | 0.0134839i | ||||
\(155\) | 5.64480 | − | 6.39857i | 0.453401 | − | 0.513946i | ||||
\(156\) | 0.182301 | + | 0.182301i | 0.0145958 | + | 0.0145958i | ||||
\(157\) | −5.62119 | − | 1.50619i | −0.448620 | − | 0.120207i | 0.0274338 | − | 0.999624i | \(-0.491266\pi\) |
−0.476053 | + | 0.879416i | \(0.657933\pi\) | |||||||
\(158\) | −0.197628 | − | 0.197628i | −0.0157224 | − | 0.0157224i | ||||
\(159\) | 9.19266 | 0.729026 | ||||||||
\(160\) | −3.76994 | − | 1.87295i | −0.298040 | − | 0.148069i | ||||
\(161\) | 11.2597 | − | 3.01704i | 0.887391 | − | 0.237776i | ||||
\(162\) | − | 1.63070i | − | 0.128120i | ||||||
\(163\) | −7.18083 | − | 12.4376i | −0.562446 | − | 0.974185i | −0.997282 | − | 0.0736755i | \(-0.976527\pi\) |
0.434836 | − | 0.900510i | \(-0.356806\pi\) | |||||||
\(164\) | 15.2564 | − | 8.80830i | 1.19133 | − | 0.687813i | ||||
\(165\) | 5.53722 | − | 1.86148i | 0.431072 | − | 0.144916i | ||||
\(166\) | −0.407229 | − | 1.51980i | −0.0316071 | − | 0.117959i | ||||
\(167\) | −7.04899 | + | 12.2092i | −0.545467 | + | 0.944777i | 0.453110 | + | 0.891455i | \(0.350315\pi\) |
−0.998577 | + | 0.0533227i | \(0.983019\pi\) | |||||||
\(168\) | −0.992845 | − | 1.71966i | −0.0765997 | − | 0.132674i | ||||
\(169\) | −6.49845 | − | 11.2557i | −0.499881 | − | 0.865819i | ||||
\(170\) | 2.31338 | + | 1.14931i | 0.177428 | + | 0.0881479i | ||||
\(171\) | 2.35794 | + | 2.35794i | 0.180316 | + | 0.180316i | ||||
\(172\) | −0.371211 | − | 0.214319i | −0.0283046 | − | 0.0163417i | ||||
\(173\) | −8.25839 | − | 2.21283i | −0.627874 | − | 0.168238i | −0.0691690 | − | 0.997605i | \(-0.522035\pi\) |
−0.558705 | + | 0.829367i | \(0.688701\pi\) | |||||||
\(174\) | − | 0.695270i | − | 0.0527083i | ||||||
\(175\) | −2.51439 | − | 6.17279i | −0.190070 | − | 0.466619i | ||||
\(176\) | 3.70689 | − | 2.14018i | 0.279418 | − | 0.161322i | ||||
\(177\) | 7.43141i | 0.558579i | ||||||||
\(178\) | −0.445965 | − | 1.66436i | −0.0334265 | − | 0.124749i | ||||
\(179\) | 7.84680 | + | 7.84680i | 0.586497 | + | 0.586497i | 0.936681 | − | 0.350184i | \(-0.113881\pi\) |
−0.350184 | + | 0.936681i | \(0.613881\pi\) | |||||||
\(180\) | 0.693796 | + | 11.0851i | 0.0517125 | + | 0.826236i | ||||
\(181\) | 1.17448 | − | 2.03425i | 0.0872980 | − | 0.151205i | −0.819070 | − | 0.573693i | \(-0.805510\pi\) |
0.906368 | + | 0.422489i | \(0.138843\pi\) | |||||||
\(182\) | −0.00306105 | − | 0.0114240i | −0.000226900 | − | 0.000846801i | ||||
\(183\) | 22.0711 | − | 12.7427i | 1.63154 | − | 0.941969i | ||||
\(184\) | 5.54635 | 0.408883 | ||||||||
\(185\) | −9.83551 | + | 9.39483i | −0.723121 | + | 0.690722i | ||||
\(186\) | 1.43013 | 0.104862 | ||||||||
\(187\) | −6.97383 | + | 4.02634i | −0.509977 | + | 0.294435i | ||||
\(188\) | 3.54899 | + | 13.2450i | 0.258836 | + | 0.965991i | ||||
\(189\) | 0.758275 | − | 1.31337i | 0.0551564 | − | 0.0955336i | ||||
\(190\) | −0.354713 | − | 0.312927i | −0.0257336 | − | 0.0227021i | ||||
\(191\) | 7.41687 | + | 7.41687i | 0.536666 | + | 0.536666i | 0.922548 | − | 0.385882i | \(-0.126103\pi\) |
−0.385882 | + | 0.922548i | \(0.626103\pi\) | |||||||
\(192\) | 4.49517 | + | 16.7762i | 0.324411 | + | 1.21072i | ||||
\(193\) | − | 8.03040i | − | 0.578041i | −0.957323 | − | 0.289021i | \(-0.906670\pi\) | ||
0.957323 | − | 0.289021i | \(-0.0933296\pi\) | |||||||
\(194\) | −0.860698 | + | 0.496924i | −0.0617945 | + | 0.0356771i | ||||
\(195\) | −0.0578014 | + | 0.286182i | −0.00413924 | + | 0.0204939i | ||||
\(196\) | 10.3130i | 0.736639i | ||||||||
\(197\) | −16.9496 | − | 4.54163i | −1.20761 | − | 0.323578i | −0.401785 | − | 0.915734i | \(-0.631610\pi\) |
−0.805823 | + | 0.592156i | \(0.798277\pi\) | |||||||
\(198\) | 0.386736 | + | 0.223282i | 0.0274841 | + | 0.0158680i | ||||
\(199\) | −8.57181 | − | 8.57181i | −0.607640 | − | 0.607640i | 0.334689 | − | 0.942329i | \(-0.391369\pi\) |
−0.942329 | + | 0.334689i | \(0.891369\pi\) | |||||||
\(200\) | −0.395424 | − | 3.14657i | −0.0279607 | − | 0.222496i | ||||
\(201\) | 0.354251 | + | 0.613580i | 0.0249869 | + | 0.0432786i | ||||
\(202\) | 0.494878 | + | 0.857153i | 0.0348195 | + | 0.0603091i | ||||
\(203\) | 1.23649 | − | 2.14166i | 0.0867845 | − | 0.150315i | ||||
\(204\) | −8.68833 | − | 32.4253i | −0.608305 | − | 2.27022i | ||||
\(205\) | 17.8666 | + | 8.87628i | 1.24785 | + | 0.619946i | ||||
\(206\) | −2.24183 | + | 1.29432i | −0.156196 | + | 0.0901797i | ||||
\(207\) | −10.9989 | − | 19.0506i | −0.764474 | − | 1.32411i | ||||
\(208\) | 0.213925i | 0.0148331i | ||||||||
\(209\) | 1.42434 | − | 0.381650i | 0.0985235 | − | 0.0263993i | ||||
\(210\) | 0.497048 | − | 1.00048i | 0.0342996 | − | 0.0690397i | ||||
\(211\) | −2.44607 | −0.168394 | −0.0841971 | − | 0.996449i | \(-0.526833\pi\) | ||||
−0.0841971 | + | 0.996449i | \(0.526833\pi\) | |||||||
\(212\) | 5.46506 | + | 5.46506i | 0.375342 | + | 0.375342i | ||||
\(213\) | 27.4290 | + | 7.34958i | 1.87940 | + | 0.503585i | ||||
\(214\) | −0.792012 | − | 0.792012i | −0.0541408 | − | 0.0541408i | ||||
\(215\) | −0.0303217 | − | 0.484465i | −0.00206792 | − | 0.0330402i | ||||
\(216\) | 0.510229 | − | 0.510229i | 0.0347167 | − | 0.0347167i | ||||
\(217\) | 4.40528 | + | 2.54339i | 0.299050 | + | 0.172657i | ||||
\(218\) | 1.46610 | − | 0.392841i | 0.0992970 | − | 0.0266065i | ||||
\(219\) | −3.03765 | − | 1.75379i | −0.205266 | − | 0.118510i | ||||
\(220\) | 4.39854 | + | 2.18524i | 0.296550 | + | 0.147329i | ||||
\(221\) | − | 0.402461i | − | 0.0270725i | ||||||
\(222\) | −2.27140 | − | 0.194492i | −0.152446 | − | 0.0130535i | ||||
\(223\) | −3.91697 | − | 3.91697i | −0.262300 | − | 0.262300i | 0.563688 | − | 0.825988i | \(-0.309382\pi\) |
−0.825988 | + | 0.563688i | \(0.809382\pi\) | |||||||
\(224\) | 0.649522 | − | 2.42405i | 0.0433980 | − | 0.161964i | ||||
\(225\) | −10.0237 | + | 7.59809i | −0.668243 | + | 0.506540i | ||||
\(226\) | −1.63921 | − | 0.946397i | −0.109038 | − | 0.0629534i | ||||
\(227\) | 8.81122 | − | 15.2615i | 0.584821 | − | 1.01294i | −0.410076 | − | 0.912051i | \(-0.634498\pi\) |
0.994898 | − | 0.100889i | \(-0.0321687\pi\) | |||||||
\(228\) | 6.14708i | 0.407100i | ||||||||
\(229\) | −15.5598 | − | 8.98348i | −1.02822 | − | 0.593645i | −0.111748 | − | 0.993737i | \(-0.535645\pi\) |
−0.916475 | + | 0.400091i | \(0.868978\pi\) | |||||||
\(230\) | 1.72594 | + | 2.59959i | 0.113805 | + | 0.171412i | ||||
\(231\) | 1.74130 | + | 3.01602i | 0.114569 | + | 0.198439i | ||||
\(232\) | 0.832010 | − | 0.832010i | 0.0546241 | − | 0.0546241i | ||||
\(233\) | 4.02038 | − | 4.02038i | 0.263384 | − | 0.263384i | −0.563043 | − | 0.826427i | \(-0.690370\pi\) |
0.826427 | + | 0.563043i | \(0.190370\pi\) | |||||||
\(234\) | −0.0193285 | + | 0.0111593i | −0.00126354 | + | 0.000729506i | ||||
\(235\) | −10.2729 | + | 11.6447i | −0.670133 | + | 0.759619i | ||||
\(236\) | −4.41799 | + | 4.41799i | −0.287587 | + | 0.287587i | ||||
\(237\) | −3.56210 | + | 2.05658i | −0.231383 | + | 0.133589i | ||||
\(238\) | −0.398571 | + | 1.48749i | −0.0258355 | + | 0.0964194i | ||||
\(239\) | 25.7165 | + | 6.89070i | 1.66346 | + | 0.445723i | 0.963336 | − | 0.268299i | \(-0.0864616\pi\) |
0.700123 | + | 0.714022i | \(0.253128\pi\) | |||||||
\(240\) | −13.3680 | + | 15.1531i | −0.862899 | + | 0.978125i | ||||
\(241\) | −26.5475 | + | 7.11337i | −1.71007 | + | 0.458213i | −0.975442 | − | 0.220255i | \(-0.929311\pi\) |
−0.734630 | + | 0.678468i | \(0.762644\pi\) | |||||||
\(242\) | −1.34920 | + | 0.778964i | −0.0867302 | + | 0.0500737i | ||||
\(243\) | −19.8842 | − | 5.32796i | −1.27557 | − | 0.341789i | ||||
\(244\) | 20.6969 | + | 5.54571i | 1.32498 | + | 0.355028i | ||||
\(245\) | −9.72974 | + | 6.45986i | −0.621610 | + | 0.412705i | ||||
\(246\) | 0.865432 | + | 3.22984i | 0.0551779 | + | 0.205927i | ||||
\(247\) | −0.0190743 | + | 0.0711862i | −0.00121367 | + | 0.00452947i | ||||
\(248\) | 1.71140 | + | 1.71140i | 0.108674 | + | 0.108674i | ||||
\(249\) | −23.1556 | −1.46742 | ||||||||
\(250\) | 1.35175 | − | 1.16450i | 0.0854923 | − | 0.0736495i | ||||
\(251\) | 5.05843 | − | 5.05843i | 0.319285 | − | 0.319285i | −0.529207 | − | 0.848493i | \(-0.677511\pi\) |
0.848493 | + | 0.529207i | \(0.177511\pi\) | |||||||
\(252\) | −6.39579 | + | 1.71375i | −0.402897 | + | 0.107956i | ||||
\(253\) | −9.72746 | −0.611560 | ||||||||
\(254\) | 2.05011 | − | 0.549326i | 0.128635 | − | 0.0344678i | ||||
\(255\) | 25.1494 | − | 28.5077i | 1.57491 | − | 1.78522i | ||||
\(256\) | −7.00069 | + | 12.1255i | −0.437543 | + | 0.757847i | ||||
\(257\) | 0.329233 | + | 0.570247i | 0.0205370 | + | 0.0355711i | 0.876111 | − | 0.482109i | \(-0.160129\pi\) |
−0.855574 | + | 0.517680i | \(0.826796\pi\) | |||||||
\(258\) | 0.0575295 | − | 0.0575295i | 0.00358163 | − | 0.00358163i | ||||
\(259\) | −6.65078 | − | 4.63863i | −0.413259 | − | 0.288230i | ||||
\(260\) | −0.204499 | + | 0.135773i | −0.0126825 | + | 0.00842029i | ||||
\(261\) | −4.50772 | − | 1.20784i | −0.279021 | − | 0.0747635i | ||||
\(262\) | 2.45336 | − | 0.657376i | 0.151569 | − | 0.0406128i | ||||
\(263\) | −5.55607 | − | 20.7355i | −0.342602 | − | 1.27861i | −0.895389 | − | 0.445286i | \(-0.853102\pi\) |
0.552786 | − | 0.833323i | \(-0.313565\pi\) | |||||||
\(264\) | 0.428867 | + | 1.60055i | 0.0263949 | + | 0.0985073i | ||||
\(265\) | −1.73278 | + | 8.57923i | −0.106444 | + | 0.527018i | ||||
\(266\) | 0.140996 | − | 0.244213i | 0.00864503 | − | 0.0149736i | ||||
\(267\) | −25.3581 | −1.55189 | ||||||||
\(268\) | −0.154172 | + | 0.575377i | −0.00941755 | + | 0.0351468i | ||||
\(269\) | 1.32301i | 0.0806655i | 0.999186 | + | 0.0403328i | \(0.0128418\pi\) | ||||
−0.999186 | + | 0.0403328i | \(0.987158\pi\) | |||||||
\(270\) | 0.397921 | + | 0.0803696i | 0.0242167 | + | 0.00489114i | ||||
\(271\) | 6.34105 | + | 10.9830i | 0.385191 | + | 0.667171i | 0.991796 | − | 0.127833i | \(-0.0408021\pi\) |
−0.606604 | + | 0.795004i | \(0.707469\pi\) | |||||||
\(272\) | 13.9273 | − | 24.1228i | 0.844468 | − | 1.46266i | ||||
\(273\) | −0.174055 | −0.0105343 | ||||||||
\(274\) | −0.291662 | + | 1.08850i | −0.0176199 | + | 0.0657585i | ||||
\(275\) | 0.693514 | + | 5.51860i | 0.0418205 | + | 0.332784i | ||||
\(276\) | 10.4953 | − | 39.1690i | 0.631743 | − | 2.35770i | ||||
\(277\) | 22.1740 | + | 12.8022i | 1.33231 | + | 0.769207i | 0.985653 | − | 0.168786i | \(-0.0539847\pi\) |
0.346653 | + | 0.937993i | \(0.387318\pi\) | |||||||
\(278\) | −2.24100 | − | 1.29384i | −0.134406 | − | 0.0775995i | ||||
\(279\) | 2.48447 | − | 9.27215i | 0.148741 | − | 0.555109i | ||||
\(280\) | 1.79205 | − | 0.602443i | 0.107096 | − | 0.0360028i | ||||
\(281\) | 5.05121 | − | 18.8514i | 0.301330 | − | 1.12458i | −0.634729 | − | 0.772735i | \(-0.718888\pi\) |
0.936059 | − | 0.351844i | \(-0.114445\pi\) | |||||||
\(282\) | −2.60269 | −0.154988 | ||||||||
\(283\) | −12.1378 | + | 21.0233i | −0.721517 | + | 1.24970i | 0.238874 | + | 0.971051i | \(0.423222\pi\) |
−0.960391 | + | 0.278654i | \(0.910112\pi\) | |||||||
\(284\) | 11.9373 | + | 20.6759i | 0.708346 | + | 1.22689i | ||||
\(285\) | −5.79945 | + | 3.85043i | −0.343530 | + | 0.228080i | ||||
\(286\) | 0.00986935i | 0.000583587i | ||||||||
\(287\) | −3.07822 | + | 11.4881i | −0.181702 | + | 0.678120i | ||||
\(288\) | −4.73578 | −0.279058 | ||||||||
\(289\) | −17.7017 | + | 30.6602i | −1.04128 | + | 1.80354i | ||||
\(290\) | 0.648874 | + | 0.131056i | 0.0381032 | + | 0.00769584i | ||||
\(291\) | 3.78555 | + | 14.1279i | 0.221913 | + | 0.828190i | ||||
\(292\) | −0.763260 | − | 2.84852i | −0.0446664 | − | 0.166697i | ||||
\(293\) | −22.4231 | + | 6.00826i | −1.30997 | + | 0.351006i | −0.845213 | − | 0.534430i | \(-0.820526\pi\) |
−0.464760 | + | 0.885437i | \(0.653860\pi\) | |||||||
\(294\) | −1.89078 | − | 0.506633i | −0.110273 | − | 0.0295475i | ||||
\(295\) | −6.93550 | − | 1.40079i | −0.403801 | − | 0.0815572i | ||||
\(296\) | −2.48538 | − | 2.95087i | −0.144460 | − | 0.171516i | ||||
\(297\) | −0.894863 | + | 0.894863i | −0.0519252 | + | 0.0519252i | ||||
\(298\) | 1.23497 | + | 2.13903i | 0.0715398 | + | 0.123911i | ||||
\(299\) | 0.243082 | − | 0.421030i | 0.0140578 | − | 0.0243488i | ||||
\(300\) | −22.9697 | − | 3.16168i | −1.32615 | − | 0.182540i | ||||
\(301\) | 0.279522 | − | 0.0748977i | 0.0161114 | − | 0.00431703i | ||||
\(302\) | −3.06155 | −0.176172 | ||||||||
\(303\) | 14.0697 | − | 3.76996i | 0.808282 | − | 0.216579i | ||||
\(304\) | −3.60671 | + | 3.60671i | −0.206859 | + | 0.206859i | ||||
\(305\) | 7.73209 | + | 23.0002i | 0.442738 | + | 1.31699i | ||||
\(306\) | 2.90605 | 0.166128 | ||||||||
\(307\) | 11.8671 | + | 11.8671i | 0.677289 | + | 0.677289i | 0.959386 | − | 0.282097i | \(-0.0910299\pi\) |
−0.282097 | + | 0.959386i | \(0.591030\pi\) | |||||||
\(308\) | −0.757823 | + | 2.82823i | −0.0431810 | + | 0.161154i | ||||
\(309\) | 9.86010 | + | 36.7984i | 0.560922 | + | 2.09339i | ||||
\(310\) | −0.269574 | + | 1.33470i | −0.0153108 | + | 0.0758058i | ||||
\(311\) | 23.9995 | + | 6.43066i | 1.36089 | + | 0.364649i | 0.864143 | − | 0.503246i | \(-0.167861\pi\) |
0.496746 | + | 0.867896i | \(0.334528\pi\) | |||||||
\(312\) | −0.0799933 | − | 0.0214341i | −0.00452873 | − | 0.00121347i | ||||
\(313\) | 12.3239 | − | 7.11523i | 0.696590 | − | 0.402176i | −0.109486 | − | 0.993988i | \(-0.534921\pi\) |
0.806076 | + | 0.591812i | \(0.201587\pi\) | |||||||
\(314\) | 0.897039 | − | 0.240361i | 0.0506229 | − | 0.0135644i | ||||
\(315\) | −5.62305 | − | 4.96063i | −0.316823 | − | 0.279500i | ||||
\(316\) | −3.34032 | − | 0.895036i | −0.187908 | − | 0.0503497i | ||||
\(317\) | 2.14929 | − | 8.02124i | 0.120716 | − | 0.450518i | −0.878935 | − | 0.476942i | \(-0.841745\pi\) |
0.999651 | + | 0.0264238i | \(0.00841195\pi\) | |||||||
\(318\) | −1.27044 | + | 0.733491i | −0.0712429 | + | 0.0411321i | ||||
\(319\) | −1.45922 | + | 1.45922i | −0.0817005 | + | 0.0817005i | ||||
\(320\) | −16.5040 | + | 1.03296i | −0.922604 | + | 0.0577441i | ||||
\(321\) | −14.2755 | + | 8.24194i | −0.796778 | + | 0.460020i | ||||
\(322\) | −1.31538 | + | 1.31538i | −0.0733035 | + | 0.0733035i | ||||
\(323\) | 6.78536 | − | 6.78536i | 0.377547 | − | 0.377547i | ||||
\(324\) | −10.0885 | − | 17.4737i | −0.560470 | − | 0.970763i | ||||
\(325\) | −0.256190 | − | 0.107888i | −0.0142109 | − | 0.00598457i | ||||
\(326\) | 1.98481 | + | 1.14593i | 0.109928 | + | 0.0634672i | ||||
\(327\) | − | 22.3374i | − | 1.23526i | ||||||
\(328\) | −2.82942 | + | 4.90070i | −0.156228 | + | 0.270596i | ||||
\(329\) | −8.01715 | − | 4.62871i | −0.442000 | − | 0.255189i | ||||
\(330\) | −0.616725 | + | 0.699079i | −0.0339496 | + | 0.0384830i | ||||
\(331\) | −5.43812 | + | 20.2953i | −0.298906 | + | 1.11553i | 0.639159 | + | 0.769074i | \(0.279282\pi\) |
−0.938065 | + | 0.346458i | \(0.887384\pi\) | |||||||
\(332\) | −13.7660 | − | 13.7660i | −0.755510 | − | 0.755510i | ||||
\(333\) | −5.20691 | + | 14.3886i | −0.285337 | + | 0.788489i | ||||
\(334\) | − | 2.24978i | − | 0.123103i | ||||||
\(335\) | −0.639410 | + | 0.214954i | −0.0349347 | + | 0.0117442i | ||||
\(336\) | −10.4326 | − | 6.02324i | −0.569143 | − | 0.328595i | ||||
\(337\) | 31.2414 | − | 8.37110i | 1.70183 | − | 0.456003i | 0.728428 | − | 0.685122i | \(-0.240251\pi\) |
0.973398 | + | 0.229119i | \(0.0735846\pi\) | |||||||
\(338\) | 1.79620 | + | 1.03703i | 0.0977002 | + | 0.0564073i | ||||
\(339\) | −19.6970 | + | 19.6970i | −1.06980 | + | 1.06980i | ||||
\(340\) | 31.8992 | − | 1.99651i | 1.72998 | − | 0.108276i | ||||
\(341\) | −3.00153 | − | 3.00153i | −0.162542 | − | 0.162542i | ||||
\(342\) | −0.514014 | − | 0.137730i | −0.0277947 | − | 0.00744756i | ||||
\(343\) | −11.5215 | − | 11.5215i | −0.622101 | − | 0.622101i | ||||
\(344\) | 0.137688 | 0.00742363 | ||||||||
\(345\) | 43.5280 | − | 14.6330i | 2.34347 | − | 0.787816i | ||||
\(346\) | 1.31789 | − | 0.353127i | 0.0708501 | − | 0.0189842i | ||||
\(347\) | − | 19.4032i | − | 1.04162i | −0.853673 | − | 0.520809i | \(-0.825630\pi\) | ||
0.853673 | − | 0.520809i | \(-0.174370\pi\) | |||||||
\(348\) | −4.30135 | − | 7.45015i | −0.230576 | − | 0.399370i | ||||
\(349\) | 2.41115 | − | 1.39208i | 0.129066 | − | 0.0745163i | −0.434077 | − | 0.900876i | \(-0.642925\pi\) |
0.563143 | + | 0.826360i | \(0.309592\pi\) | |||||||
\(350\) | 0.840025 | + | 0.652466i | 0.0449012 | + | 0.0348758i | ||||
\(351\) | −0.0163701 | − | 0.0610940i | −0.000873771 | − | 0.00326096i | ||||
\(352\) | −1.04709 | + | 1.81361i | −0.0558100 | + | 0.0966657i | ||||
\(353\) | −2.24808 | − | 3.89379i | −0.119653 | − | 0.207246i | 0.799977 | − | 0.600031i | \(-0.204845\pi\) |
−0.919630 | + | 0.392785i | \(0.871512\pi\) | |||||||
\(354\) | −0.592959 | − | 1.02703i | −0.0315154 | − | 0.0545863i | ||||
\(355\) | −12.0294 | + | 24.2133i | −0.638453 | + | 1.28511i | ||||
\(356\) | −15.0755 | − | 15.0755i | −0.798998 | − | 0.798998i | ||||
\(357\) | 19.6269 | + | 11.3316i | 1.03877 | + | 0.599732i | ||||
\(358\) | −1.71054 | − | 0.458339i | −0.0904051 | − | 0.0242240i | ||||
\(359\) | 19.1939i | 1.01301i | 0.862236 | + | 0.506507i | \(0.169064\pi\) | ||||
−0.862236 | + | 0.506507i | \(0.830936\pi\) | |||||||
\(360\) | −1.97339 | − | 2.97229i | −0.104007 | − | 0.156654i | ||||
\(361\) | 14.9327 | − | 8.62141i | 0.785933 | − | 0.453758i | ||||
\(362\) | 0.374850i | 0.0197017i | ||||||||
\(363\) | 5.93412 | + | 22.1464i | 0.311460 | + | 1.16239i | ||||
\(364\) | −0.103476 | − | 0.103476i | −0.00542362 | − | 0.00542362i | ||||
\(365\) | 2.20934 | − | 2.50437i | 0.115642 | − | 0.131084i | ||||
\(366\) | −2.03351 | + | 3.52214i | −0.106293 | + | 0.184105i | ||||
\(367\) | 1.27241 | + | 4.74870i | 0.0664193 | + | 0.247880i | 0.991151 | − | 0.132739i | \(-0.0423774\pi\) |
−0.924732 | + | 0.380620i | \(0.875711\pi\) | |||||||
\(368\) | 29.1398 | − | 16.8239i | 1.51902 | − | 0.877006i | ||||
\(369\) | 22.4438 | 1.16838 | ||||||||
\(370\) | 0.609663 | − | 2.08317i | 0.0316949 | − | 0.108299i | ||||
\(371\) | −5.21785 | −0.270897 | ||||||||
\(372\) | 15.3246 | − | 8.84765i | 0.794542 | − | 0.458729i | ||||
\(373\) | −3.80968 | − | 14.2179i | −0.197258 | − | 0.736177i | −0.991671 | − | 0.128798i | \(-0.958888\pi\) |
0.794413 | − | 0.607378i | \(-0.207779\pi\) | |||||||
\(374\) | 0.642531 | − | 1.11290i | 0.0332245 | − | 0.0575465i | ||||
\(375\) | −11.4049 | − | 23.6511i | −0.588949 | − | 1.22134i | ||||
\(376\) | −3.11457 | − | 3.11457i | −0.160622 | − | 0.160622i | ||||
\(377\) | −0.0266940 | − | 0.0996235i | −0.00137481 | − | 0.00513087i | ||||
\(378\) | 0.242014i | 0.0124478i | ||||||||
\(379\) | 25.4761 | − | 14.7087i | 1.30862 | − | 0.755533i | 0.326755 | − | 0.945109i | \(-0.394045\pi\) |
0.981866 | + | 0.189576i | \(0.0607113\pi\) | |||||||
\(380\) | −5.73687 | − | 1.15870i | −0.294295 | − | 0.0594400i | ||||
\(381\) | − | 31.2353i | − | 1.60024i | ||||||
\(382\) | −1.61682 | − | 0.433227i | −0.0827239 | − | 0.0221658i | ||||
\(383\) | 9.51191 | + | 5.49170i | 0.486036 | + | 0.280613i | 0.722928 | − | 0.690923i | \(-0.242796\pi\) |
−0.236892 | + | 0.971536i | \(0.576129\pi\) | |||||||
\(384\) | −8.21246 | − | 8.21246i | −0.419090 | − | 0.419090i | ||||
\(385\) | −3.14298 | + | 1.05659i | −0.160181 | + | 0.0538489i | ||||
\(386\) | 0.640753 | + | 1.10982i | 0.0326135 | + | 0.0564882i | ||||
\(387\) | −0.273046 | − | 0.472929i | −0.0138797 | − | 0.0240404i | ||||
\(388\) | −6.14853 | + | 10.6496i | −0.312144 | + | 0.540650i | ||||
\(389\) | −8.42539 | − | 31.4440i | −0.427184 | − | 1.59427i | −0.759106 | − | 0.650967i | \(-0.774364\pi\) |
0.331922 | − | 0.943307i | \(-0.392303\pi\) | |||||||
\(390\) | −0.0148465 | − | 0.0441630i | −0.000751781 | − | 0.00223628i | ||||
\(391\) | −54.8212 | + | 31.6510i | −2.77243 | + | 1.60066i | ||||
\(392\) | −1.65637 | − | 2.86892i | −0.0836594 | − | 0.144902i | ||||
\(393\) | − | 37.3792i | − | 1.88553i | ||||||
\(394\) | 2.70485 | − | 0.724761i | 0.136268 | − | 0.0365129i | ||||
\(395\) | −1.24790 | − | 3.71206i | −0.0627887 | − | 0.186774i | ||||
\(396\) | 5.52542 | 0.277663 | ||||||||
\(397\) | 12.4389 | + | 12.4389i | 0.624288 | + | 0.624288i | 0.946625 | − | 0.322337i | \(-0.104468\pi\) |
−0.322337 | + | 0.946625i | \(0.604468\pi\) | |||||||
\(398\) | 1.86859 | + | 0.500688i | 0.0936641 | + | 0.0250972i | ||||
\(399\) | −2.93451 | − | 2.93451i | −0.146909 | − | 0.146909i | ||||
\(400\) | −11.6221 | − | 15.3322i | −0.581103 | − | 0.766610i | ||||
\(401\) | 1.45110 | − | 1.45110i | 0.0724644 | − | 0.0724644i | −0.669946 | − | 0.742410i | \(-0.733683\pi\) |
0.742410 | + | 0.669946i | \(0.233683\pi\) | |||||||
\(402\) | −0.0979162 | − | 0.0565319i | −0.00488361 | − | 0.00281956i | ||||
\(403\) | 0.204920 | − | 0.0549083i | 0.0102078 | − | 0.00273518i | ||||
\(404\) | 10.6057 | + | 6.12321i | 0.527654 | + | 0.304641i | ||||
\(405\) | 10.1663 | − | 20.4632i | 0.505169 | − | 1.01682i | ||||
\(406\) | 0.394642i | 0.0195858i | ||||||||
\(407\) | 4.35897 | + | 5.17537i | 0.216066 | + | 0.256533i | ||||
\(408\) | 7.62483 | + | 7.62483i | 0.377485 | + | 0.377485i | ||||
\(409\) | 6.97787 | − | 26.0418i | 0.345034 | − | 1.28768i | −0.547539 | − | 0.836780i | \(-0.684435\pi\) |
0.892573 | − | 0.450903i | \(-0.148898\pi\) | |||||||
\(410\) | −3.17744 | + | 0.198870i | −0.156922 | + | 0.00982148i | ||||
\(411\) | 14.3624 | + | 8.29213i | 0.708444 | + | 0.409021i | ||||
\(412\) | −16.0149 | + | 27.7386i | −0.788997 | + | 1.36658i | ||||
\(413\) | − | 4.21814i | − | 0.207561i | ||||||
\(414\) | 3.04013 | + | 1.75522i | 0.149414 | + | 0.0862642i | ||||
\(415\) | 4.36473 | − | 21.6104i | 0.214256 | − | 1.06081i | ||||
\(416\) | −0.0523318 | − | 0.0906414i | −0.00256578 | − | 0.00444406i | ||||
\(417\) | −26.9283 | + | 26.9283i | −1.31868 | + | 1.31868i | ||||
\(418\) | −0.166394 | + | 0.166394i | −0.00813859 | + | 0.00813859i | ||||
\(419\) | 9.77667 | − | 5.64456i | 0.477622 | − | 0.275755i | −0.241803 | − | 0.970325i | \(-0.577739\pi\) |
0.719425 | + | 0.694570i | \(0.244405\pi\) | |||||||
\(420\) | −0.863444 | − | 13.7957i | −0.0421318 | − | 0.673159i | ||||
\(421\) | 21.5769 | − | 21.5769i | 1.05159 | − | 1.05159i | 0.0529986 | − | 0.998595i | \(-0.483122\pi\) |
0.998595 | − | 0.0529986i | \(-0.0168779\pi\) | |||||||
\(422\) | 0.338051 | − | 0.195174i | 0.0164561 | − | 0.00950091i | ||||
\(423\) | −4.52147 | + | 16.8743i | −0.219841 | + | 0.820459i | ||||
\(424\) | −2.39805 | − | 0.642556i | −0.116460 | − | 0.0312053i | ||||
\(425\) | 21.8648 | + | 28.8447i | 1.06060 | + | 1.39917i | ||||
\(426\) | −4.37717 | + | 1.17286i | −0.212074 | + | 0.0568252i | ||||
\(427\) | −12.5278 | + | 7.23290i | −0.606260 | + | 0.350025i | ||||
\(428\) | −13.3866 | − | 3.58694i | −0.647068 | − | 0.173381i | ||||
\(429\) | 0.140296 | + | 0.0375922i | 0.00677355 | + | 0.00181497i | ||||
\(430\) | 0.0428464 | + | 0.0645345i | 0.00206624 | + | 0.00311213i | ||||
\(431\) | 2.57561 | + | 9.61229i | 0.124063 | + | 0.463008i | 0.999805 | − | 0.0197716i | \(-0.00629392\pi\) |
−0.875742 | + | 0.482780i | \(0.839627\pi\) | |||||||
\(432\) | 1.13299 | − | 4.22837i | 0.0545109 | − | 0.203437i | ||||
\(433\) | 23.4813 | + | 23.4813i | 1.12844 | + | 1.12844i | 0.990431 | + | 0.138010i | \(0.0440705\pi\) |
0.138010 | + | 0.990431i | \(0.455930\pi\) | |||||||
\(434\) | −0.811758 | −0.0389656 | ||||||||
\(435\) | 4.33454 | − | 8.72475i | 0.207825 | − | 0.418320i | ||||
\(436\) | 13.2797 | − | 13.2797i | 0.635980 | − | 0.635980i | ||||
\(437\) | 11.1967 | − | 3.00015i | 0.535611 | − | 0.143516i | ||||
\(438\) | 0.559746 | 0.0267457 | ||||||||
\(439\) | −30.4892 | + | 8.16956i | −1.45517 | + | 0.389912i | −0.897819 | − | 0.440365i | \(-0.854849\pi\) |
−0.557352 | + | 0.830277i | \(0.688182\pi\) | |||||||
\(440\) | −1.57459 | + | 0.0985504i | −0.0750655 | + | 0.00469821i | ||||
\(441\) | −6.56943 | + | 11.3786i | −0.312830 | + | 0.541838i | ||||
\(442\) | 0.0321127 | + | 0.0556209i | 0.00152745 | + | 0.00264562i | ||||
\(443\) | −3.20910 | + | 3.20910i | −0.152469 | + | 0.152469i | −0.779220 | − | 0.626751i | \(-0.784384\pi\) |
0.626751 | + | 0.779220i | \(0.284384\pi\) | |||||||
\(444\) | −25.5424 | + | 11.9681i | −1.21219 | + | 0.567983i | ||||
\(445\) | 4.77990 | − | 23.6659i | 0.226589 | − | 1.12187i | ||||
\(446\) | 0.853871 | + | 0.228794i | 0.0404320 | + | 0.0108337i | ||||
\(447\) | 35.1109 | − | 9.40794i | 1.66069 | − | 0.444980i | ||||
\(448\) | −2.55151 | − | 9.52235i | −0.120547 | − | 0.449889i | ||||
\(449\) | 5.80600 | + | 21.6683i | 0.274002 | + | 1.02259i | 0.956507 | + | 0.291709i | \(0.0942239\pi\) |
−0.682505 | + | 0.730881i | \(0.739109\pi\) | |||||||
\(450\) | 0.779029 | − | 1.84987i | 0.0367238 | − | 0.0872036i | ||||
\(451\) | 4.96237 | − | 8.59507i | 0.233669 | − | 0.404726i | ||||
\(452\) | −23.4199 | −1.10158 | ||||||||
\(453\) | −11.6614 | + | 43.5209i | −0.547899 | + | 2.04479i | ||||
\(454\) | 2.81222i | 0.131984i | ||||||||
\(455\) | 0.0328086 | − | 0.162440i | 0.00153809 | − | 0.00761530i | ||||
\(456\) | −0.987287 | − | 1.71003i | −0.0462340 | − | 0.0800796i | ||||
\(457\) | 1.03252 | − | 1.78838i | 0.0482994 | − | 0.0836570i | −0.840865 | − | 0.541245i | \(-0.817953\pi\) |
0.889164 | + | 0.457588i | \(0.151287\pi\) | |||||||
\(458\) | 2.86720 | 0.133975 | ||||||||
\(459\) | −2.13151 | + | 7.95489i | −0.0994902 | + | 0.371302i | ||||
\(460\) | 34.5769 | + | 17.1781i | 1.61216 | + | 0.800935i | ||||
\(461\) | 4.93803 | − | 18.4290i | 0.229987 | − | 0.858322i | −0.750358 | − | 0.661031i | \(-0.770119\pi\) |
0.980345 | − | 0.197291i | \(-0.0632144\pi\) | |||||||
\(462\) | −0.481301 | − | 0.277879i | −0.0223922 | − | 0.0129281i | ||||
\(463\) | 25.9865 | + | 15.0033i | 1.20770 | + | 0.697264i | 0.962255 | − | 0.272148i | \(-0.0877341\pi\) |
0.245440 | + | 0.969412i | \(0.421067\pi\) | |||||||
\(464\) | 1.84752 | − | 6.89503i | 0.0857688 | − | 0.320094i | ||||
\(465\) | 17.9464 | + | 8.91593i | 0.832242 | + | 0.413466i | ||||
\(466\) | −0.234835 | + | 0.876414i | −0.0108785 | + | 0.0405991i | ||||
\(467\) | −30.1100 | −1.39332 | −0.696662 | − | 0.717399i | \(-0.745332\pi\) | ||||
−0.696662 | + | 0.717399i | \(0.745332\pi\) | |||||||
\(468\) | −0.138076 | + | 0.239155i | −0.00638257 | + | 0.0110549i | ||||
\(469\) | −0.201076 | − | 0.348274i | −0.00928483 | − | 0.0160818i | ||||
\(470\) | 0.490597 | − | 2.42901i | 0.0226295 | − | 0.112042i | ||||
\(471\) | − | 13.6672i | − | 0.629752i | ||||||
\(472\) | 0.519447 | − | 1.93860i | 0.0239095 | − | 0.0892313i | ||||
\(473\) | −0.241483 | −0.0111034 | ||||||||
\(474\) | 0.328193 | − | 0.568446i | 0.0150744 | − | 0.0261096i | ||||
\(475\) | −2.50031 | − | 6.13824i | −0.114722 | − | 0.281642i | ||||
\(476\) | 4.93158 | + | 18.4049i | 0.226039 | + | 0.843588i | ||||
\(477\) | 2.54848 | + | 9.51106i | 0.116687 | + | 0.435481i | ||||
\(478\) | −4.10388 | + | 1.09963i | −0.187707 | + | 0.0502959i | ||||
\(479\) | −9.37100 | − | 2.51095i | −0.428172 | − | 0.114728i | 0.0382959 | − | 0.999266i | \(-0.487807\pi\) |
−0.466468 | + | 0.884538i | \(0.654474\pi\) | |||||||
\(480\) | 1.95725 | − | 9.69060i | 0.0893357 | − | 0.442313i | ||||
\(481\) | −0.332931 | + | 0.0593394i | −0.0151803 | + | 0.00270564i | ||||
\(482\) | 3.10133 | − | 3.10133i | 0.141262 | − | 0.141262i | ||||
\(483\) | 13.6883 | + | 23.7089i | 0.622840 | + | 1.07879i | ||||
\(484\) | −9.63826 | + | 16.6940i | −0.438103 | + | 0.758816i | ||||
\(485\) | −13.8987 | + | 0.869891i | −0.631106 | + | 0.0394997i | ||||
\(486\) | 3.17316 | − | 0.850246i | 0.143937 | − | 0.0385679i | ||||
\(487\) | −22.9465 | −1.03980 | −0.519901 | − | 0.854226i | \(-0.674031\pi\) | ||||
−0.519901 | + | 0.854226i | \(0.674031\pi\) | |||||||
\(488\) | −6.64829 | + | 1.78140i | −0.300954 | + | 0.0806403i | ||||
\(489\) | 23.8498 | − | 23.8498i | 1.07853 | − | 1.07853i | ||||
\(490\) | 0.829230 | − | 1.66911i | 0.0374608 | − | 0.0754027i | ||||
\(491\) | −3.85088 | −0.173788 | −0.0868939 | − | 0.996218i | \(-0.527694\pi\) | ||||
−0.0868939 | + | 0.996218i | \(0.527694\pi\) | |||||||
\(492\) | 29.2552 | + | 29.2552i | 1.31893 | + | 1.31893i | ||||
\(493\) | −3.47576 | + | 12.9717i | −0.156540 | + | 0.584217i | ||||
\(494\) | −0.00304391 | − | 0.0113600i | −0.000136952 | − | 0.000511112i | ||||
\(495\) | 3.46103 | + | 5.21295i | 0.155562 | + | 0.234305i | ||||
\(496\) | 14.1827 | + | 3.80025i | 0.636822 | + | 0.170636i | ||||
\(497\) | −15.5690 | − | 4.17169i | −0.698364 | − | 0.187126i | ||||
\(498\) | 3.20014 | − | 1.84760i | 0.143402 | − | 0.0827931i | ||||
\(499\) | −6.99556 | + | 1.87445i | −0.313164 | + | 0.0839121i | −0.411978 | − | 0.911194i | \(-0.635162\pi\) |
0.0988136 | + | 0.995106i | \(0.468495\pi\) | |||||||
\(500\) | 7.28039 | − | 20.8409i | 0.325589 | − | 0.932034i | ||||
\(501\) | −31.9813 | − | 8.56938i | −1.42882 | − | 0.382852i | ||||
\(502\) | −0.295468 | + | 1.10270i | −0.0131874 | + | 0.0492160i | ||||
\(503\) | −16.8614 | + | 9.73494i | −0.751813 | + | 0.434060i | −0.826349 | − | 0.563159i | \(-0.809586\pi\) |
0.0745355 | + | 0.997218i | \(0.476253\pi\) | |||||||
\(504\) | 1.50397 | − | 1.50397i | 0.0669923 | − | 0.0669923i | ||||
\(505\) | 0.866308 | + | 13.8414i | 0.0385502 | + | 0.615935i | ||||
\(506\) | 1.34435 | − | 0.776162i | 0.0597638 | − | 0.0345046i | ||||
\(507\) | 21.5835 | − | 21.5835i | 0.958555 | − | 0.958555i | ||||
\(508\) | 18.5695 | − | 18.5695i | 0.823888 | − | 0.823888i | ||||
\(509\) | 18.5095 | + | 32.0594i | 0.820420 | + | 1.42101i | 0.905370 | + | 0.424624i | \(0.139594\pi\) |
−0.0849500 | + | 0.996385i | \(0.527073\pi\) | |||||||
\(510\) | −1.20104 | + | 5.94650i | −0.0531829 | + | 0.263316i | ||||
\(511\) | 1.72420 | + | 0.995469i | 0.0762742 | + | 0.0440370i | ||||
\(512\) | − | 12.1250i | − | 0.535853i | ||||||
\(513\) | 0.754030 | − | 1.30602i | 0.0332912 | − | 0.0576621i | ||||
\(514\) | −0.0910011 | − | 0.0525395i | −0.00401389 | − | 0.00231742i | ||||
\(515\) | −36.2014 | + | 2.26578i | −1.59522 | + | 0.0998421i | ||||
\(516\) | 0.260545 | − | 0.972367i | 0.0114699 | − | 0.0428061i | ||||
\(517\) | 5.46248 | + | 5.46248i | 0.240240 | + | 0.240240i | ||||
\(518\) | 1.28927 | + | 0.110396i | 0.0566473 | + | 0.00485051i | ||||
\(519\) | − | 20.0792i | − | 0.881381i | ||||||
\(520\) | 0.0350822 | − | 0.0706150i | 0.00153846 | − | 0.00309667i | ||||
\(521\) | −33.6088 | − | 19.4041i | −1.47243 | − | 0.850108i | −0.472911 | − | 0.881110i | \(-0.656797\pi\) |
−0.999519 | + | 0.0310027i | \(0.990130\pi\) | |||||||
\(522\) | 0.719351 | − | 0.192749i | 0.0314851 | − | 0.00843641i | ||||
\(523\) | −26.2974 | − | 15.1828i | −1.14991 | − | 0.663899i | −0.201042 | − | 0.979583i | \(-0.564433\pi\) |
−0.948864 | + | 0.315684i | \(0.897766\pi\) | |||||||
\(524\) | 22.2220 | − | 22.2220i | 0.970774 | − | 0.970774i | ||||
\(525\) | 12.4746 | − | 9.45599i | 0.544438 | − | 0.412693i | ||||
\(526\) | 2.42237 | + | 2.42237i | 0.105620 | + | 0.105620i | ||||
\(527\) | −26.6821 | − | 7.14946i | −1.16229 | − | 0.311435i | ||||
\(528\) | 7.10821 | + | 7.10821i | 0.309345 | + | 0.309345i | ||||
\(529\) | −53.4674 | −2.32467 | ||||||||
\(530\) | −0.445071 | − | 1.32393i | −0.0193326 | − | 0.0575076i | ||||
\(531\) | −7.68880 | + | 2.06021i | −0.333665 | + | 0.0894054i | ||||
\(532\) | − | 3.48914i | − | 0.151273i | ||||||
\(533\) | 0.248012 | + | 0.429569i | 0.0107426 | + | 0.0186067i | ||||
\(534\) | 3.50454 | − | 2.02335i | 0.151656 | − | 0.0875588i | ||||
\(535\) | −5.00108 | − | 14.8764i | −0.216215 | − | 0.643163i | ||||
\(536\) | −0.0495234 | − | 0.184824i | −0.00213908 | − | 0.00798317i | ||||
\(537\) | −13.0309 | + | 22.5701i | −0.562323 | + | 0.973973i | ||||
\(538\) | −0.105564 | − | 0.182843i | −0.00455120 | − | 0.00788292i | ||||
\(539\) | 2.90502 | + | 5.03165i | 0.125128 | + | 0.216728i | ||||
\(540\) | 4.76113 | − | 1.60057i | 0.204886 | − | 0.0688777i | ||||
\(541\) | 1.93640 | + | 1.93640i | 0.0832522 | + | 0.0832522i | 0.747507 | − | 0.664254i | \(-0.231251\pi\) |
−0.664254 | + | 0.747507i | \(0.731251\pi\) | |||||||
\(542\) | −1.75269 | − | 1.01192i | −0.0752845 | − | 0.0434655i | ||||
\(543\) | 5.32860 | + | 1.42780i | 0.228672 | + | 0.0612726i | ||||
\(544\) | 13.6280i | 0.584295i | ||||||||
\(545\) | 20.8468 | + | 4.21051i | 0.892980 | + | 0.180359i | ||||
\(546\) | 0.0240547 | − | 0.0138880i | 0.00102945 | − | 0.000594351i | ||||
\(547\) | − | 4.12288i | − | 0.176282i | −0.996108 | − | 0.0881409i | \(-0.971907\pi\) | ||
0.996108 | − | 0.0881409i | \(-0.0280926\pi\) | |||||||
\(548\) | 3.60878 | + | 13.4682i | 0.154160 | + | 0.575332i | ||||
\(549\) | 19.3028 | + | 19.3028i | 0.823825 | + | 0.823825i | ||||
\(550\) | −0.536179 | − | 0.707344i | −0.0228627 | − | 0.0301613i | ||||
\(551\) | 1.22957 | − | 2.12967i | 0.0523813 | − | 0.0907271i | ||||
\(552\) | 3.37132 | + | 12.5819i | 0.143493 | + | 0.535523i | ||||
\(553\) | 2.02188 | − | 1.16734i | 0.0859793 | − | 0.0496402i | ||||
\(554\) | −4.08598 | −0.173597 | ||||||||
\(555\) | −27.2907 | − | 16.6013i | −1.15842 | − | 0.704686i | ||||
\(556\) | −32.0179 | −1.35786 | ||||||||
\(557\) | −23.2171 | + | 13.4044i | −0.983739 | + | 0.567962i | −0.903397 | − | 0.428805i | \(-0.858935\pi\) |
−0.0803420 | + | 0.996767i | \(0.525601\pi\) | |||||||
\(558\) | 0.396475 | + | 1.47967i | 0.0167841 | + | 0.0626393i | ||||
\(559\) | 0.00603449 | − | 0.0104520i | 0.000255232 | − | 0.000442074i | ||||
\(560\) | 7.58780 | − | 8.60103i | 0.320643 | − | 0.363460i | ||||
\(561\) | −13.3728 | − | 13.3728i | −0.564599 | − | 0.564599i | ||||
\(562\) | 0.806081 | + | 3.00834i | 0.0340025 | + | 0.126899i | ||||
\(563\) | 7.89899i | 0.332903i | 0.986050 | + | 0.166451i | \(0.0532309\pi\) | ||||
−0.986050 | + | 0.166451i | \(0.946769\pi\) | |||||||
\(564\) | −27.8891 | + | 16.1018i | −1.17434 | + | 0.678008i | ||||
\(565\) | −14.6698 | − | 22.0954i | −0.617164 | − | 0.929563i | ||||
\(566\) | − | 3.87394i | − | 0.162834i | ||||||
\(567\) | 13.1577 | + | 3.52560i | 0.552572 | + | 0.148061i | ||||
\(568\) | −6.64156 | − | 3.83451i | −0.278674 | − | 0.160892i | ||||
\(569\) | −20.1992 | − | 20.1992i | −0.846793 | − | 0.846793i | 0.142938 | − | 0.989732i | \(-0.454345\pi\) |
−0.989732 | + | 0.142938i | \(0.954345\pi\) | |||||||
\(570\) | 0.494266 | − | 0.994879i | 0.0207025 | − | 0.0416709i | ||||
\(571\) | −6.99281 | − | 12.1119i | −0.292640 | − | 0.506868i | 0.681793 | − | 0.731545i | \(-0.261200\pi\) |
−0.974433 | + | 0.224677i | \(0.927867\pi\) | |||||||
\(572\) | 0.0610576 | + | 0.105755i | 0.00255295 | + | 0.00442183i | ||||
\(573\) | −12.3169 | + | 21.3335i | −0.514546 | + | 0.891220i | ||||
\(574\) | −0.491228 | − | 1.83329i | −0.0205035 | − | 0.0765200i | ||||
\(575\) | 5.45170 | + | 43.3816i | 0.227352 | + | 1.80914i | ||||
\(576\) | −16.1111 | + | 9.30174i | −0.671295 | + | 0.387572i | ||||
\(577\) | −12.1179 | − | 20.9889i | −0.504476 | − | 0.873778i | −0.999987 | − | 0.00517583i | \(-0.998352\pi\) |
0.495511 | − | 0.868602i | \(-0.334981\pi\) | |||||||
\(578\) | − | 5.64974i | − | 0.234998i | ||||||
\(579\) | 18.2170 | − | 4.88123i | 0.757073 | − | 0.202857i | ||||
\(580\) | 7.76378 | − | 2.60999i | 0.322373 | − | 0.108374i | ||||
\(581\) | 13.1433 | 0.545277 | ||||||||
\(582\) | −1.65045 | − | 1.65045i | −0.0684132 | − | 0.0684132i | ||||
\(583\) | 4.20582 | + | 1.12695i | 0.174187 | + | 0.0466733i | ||||
\(584\) | 0.669832 | + | 0.669832i | 0.0277179 | + | 0.0277179i | ||||
\(585\) | −0.312119 | + | 0.0195349i | −0.0129045 | + | 0.000807670i | ||||
\(586\) | 2.61951 | − | 2.61951i | 0.108211 | − | 0.108211i | ||||
\(587\) | 18.7964 | + | 10.8521i | 0.775811 | + | 0.447915i | 0.834944 | − | 0.550335i | \(-0.185500\pi\) |
−0.0591326 | + | 0.998250i | \(0.518833\pi\) | |||||||
\(588\) | −23.3950 | + | 6.26867i | −0.964793 | + | 0.258515i | ||||
\(589\) | 4.38062 | + | 2.52915i | 0.180500 | + | 0.104212i | ||||
\(590\) | 1.07027 | − | 0.359798i | 0.0440623 | − | 0.0148127i | ||||
\(591\) | − | 41.2108i | − | 1.69519i | ||||||
\(592\) | −22.0088 | − | 7.96451i | −0.904556 | − | 0.327339i | ||||
\(593\) | 15.6186 | + | 15.6186i | 0.641377 | + | 0.641377i | 0.950894 | − | 0.309517i | \(-0.100167\pi\) |
−0.309517 | + | 0.950894i | \(0.600167\pi\) | |||||||
\(594\) | 0.0522698 | − | 0.195074i | 0.00214466 | − | 0.00800397i | ||||
\(595\) | −14.2750 | + | 16.1812i | −0.585219 | + | 0.663366i | ||||
\(596\) | 26.4666 | + | 15.2805i | 1.08411 | + | 0.625913i | ||||
\(597\) | 14.2349 | − | 24.6555i | 0.582594 | − | 1.00908i | ||||
\(598\) | 0.0775828i | 0.00317260i | ||||||||
\(599\) | −24.4965 | − | 14.1430i | −1.00090 | − | 0.577869i | −0.0923842 | − | 0.995723i | \(-0.529449\pi\) |
−0.908514 | + | 0.417855i | \(0.862782\pi\) | |||||||
\(600\) | 6.89765 | − | 2.80964i | 0.281595 | − | 0.114703i | ||||
\(601\) | 16.2622 | + | 28.1670i | 0.663349 | + | 1.14895i | 0.979730 | + | 0.200322i | \(0.0641990\pi\) |
−0.316381 | + | 0.948632i | \(0.602468\pi\) | |||||||
\(602\) | −0.0326543 | + | 0.0326543i | −0.00133089 | + | 0.00133089i | ||||
\(603\) | −0.536623 | + | 0.536623i | −0.0218530 | + | 0.0218530i | ||||
\(604\) | −32.8060 | + | 18.9405i | −1.33486 | + | 0.770680i | ||||
\(605\) | −21.7871 | + | 1.36362i | −0.885773 | + | 0.0554388i | ||||
\(606\) | −1.64365 | + | 1.64365i | −0.0667686 | + | 0.0667686i | ||||
\(607\) | 7.49865 | − | 4.32935i | 0.304361 | − | 0.175723i | −0.340039 | − | 0.940411i | \(-0.610440\pi\) |
0.644400 | + | 0.764688i | \(0.277107\pi\) | |||||||
\(608\) | 0.645886 | − | 2.41048i | 0.0261942 | − | 0.0977579i | ||||
\(609\) | 5.60996 | + | 1.50318i | 0.227327 | + | 0.0609121i | ||||
\(610\) | −2.90379 | − | 2.56172i | −0.117571 | − | 0.103721i | ||||
\(611\) | −0.372934 | + | 0.0999273i | −0.0150873 | + | 0.00404262i | ||||
\(612\) | 31.1397 | − | 17.9785i | 1.25875 | − | 0.726738i | ||||
\(613\) | −0.0176288 | − | 0.00472363i | −0.000712022 | − | 0.000190786i | 0.258463 | − | 0.966021i | \(-0.416784\pi\) |
−0.259175 | + | 0.965830i | \(0.583451\pi\) | |||||||
\(614\) | −2.58694 | − | 0.693167i | −0.104400 | − | 0.0279740i | ||||
\(615\) | −9.27580 | + | 45.9258i | −0.374036 | + | 1.85191i | ||||
\(616\) | −0.243429 | − | 0.908491i | −0.00980805 | − | 0.0366041i | ||||
\(617\) | 4.29024 | − | 16.0114i | 0.172718 | − | 0.644594i | −0.824211 | − | 0.566283i | \(-0.808381\pi\) |
0.996929 | − | 0.0783106i | \(-0.0249526\pi\) | |||||||
\(618\) | −4.29886 | − | 4.29886i | −0.172926 | − | 0.172926i | ||||
\(619\) | −12.7542 | −0.512636 | −0.256318 | − | 0.966593i | \(-0.582509\pi\) | ||||
−0.256318 | + | 0.966593i | \(0.582509\pi\) | |||||||
\(620\) | 5.36861 | + | 15.9697i | 0.215609 | + | 0.641358i | ||||
\(621\) | −7.03451 | + | 7.03451i | −0.282285 | + | 0.282285i | ||||
\(622\) | −3.82989 | + | 1.02622i | −0.153565 | + | 0.0411475i | ||||
\(623\) | 14.3935 | 0.576664 | ||||||||
\(624\) | −0.485291 | + | 0.130033i | −0.0194272 | + | 0.00520550i | ||||
\(625\) | 24.2226 | − | 6.18574i | 0.968906 | − | 0.247429i | ||||
\(626\) | −1.13546 | + | 1.96667i | −0.0453821 | + | 0.0786041i | ||||
\(627\) | 1.73155 | + | 2.99913i | 0.0691515 | + | 0.119774i | ||||
\(628\) | 8.12520 | − | 8.12520i | 0.324231 | − | 0.324231i | ||||
\(629\) | 41.4055 | + | 14.9838i | 1.65094 | + | 0.597441i | ||||
\(630\) | 1.17293 | + | 0.236901i | 0.0467306 | + | 0.00943836i | ||||
\(631\) | −28.3391 | − | 7.59345i | −1.12816 | − | 0.302290i | −0.353981 | − | 0.935253i | \(-0.615172\pi\) |
−0.774183 | + | 0.632962i | \(0.781839\pi\) | |||||||
\(632\) | 1.07298 | − | 0.287505i | 0.0426810 | − | 0.0114363i | ||||
\(633\) | −1.48683 | − | 5.54891i | −0.0590960 | − | 0.220549i | ||||
\(634\) | 0.342987 | + | 1.28004i | 0.0136217 | + | 0.0508370i | ||||
\(635\) | 29.1510 | + | 5.88774i | 1.15682 | + | 0.233648i | ||||
\(636\) | −9.07561 | + | 15.7194i | −0.359871 | + | 0.623316i | ||||
\(637\) | −0.290377 | −0.0115052 | ||||||||
\(638\) | 0.0852344 | − | 0.318099i | 0.00337446 | − | 0.0125937i | ||||
\(639\) | 30.4165i | 1.20326i | ||||||||
\(640\) | 9.21245 | − | 6.11642i | 0.364154 | − | 0.241773i | ||||
\(641\) | −7.87663 | − | 13.6427i | −0.311108 | − | 0.538855i | 0.667494 | − | 0.744615i | \(-0.267367\pi\) |
−0.978603 | + | 0.205760i | \(0.934033\pi\) | |||||||
\(642\) | 1.31526 | − | 2.27810i | 0.0519093 | − | 0.0899095i | ||||
\(643\) | −21.1735 | −0.835003 | −0.417502 | − | 0.908676i | \(-0.637094\pi\) | ||||
−0.417502 | + | 0.908676i | \(0.637094\pi\) | |||||||
\(644\) | −5.95724 | + | 22.2327i | −0.234748 | + | 0.876092i | ||||
\(645\) | 1.08058 | − | 0.363264i | 0.0425478 | − | 0.0143035i | ||||
\(646\) | −0.396339 | + | 1.47916i | −0.0155938 | + | 0.0581967i | ||||
\(647\) | 17.6246 | + | 10.1755i | 0.692893 | + | 0.400042i | 0.804695 | − | 0.593689i | \(-0.202329\pi\) |
−0.111802 | + | 0.993731i | \(0.535662\pi\) | |||||||
\(648\) | 5.61294 | + | 3.24063i | 0.220497 | + | 0.127304i | ||||
\(649\) | −0.911030 | + | 3.40001i | −0.0357610 | + | 0.133462i | ||||
\(650\) | 0.0440144 | − | 0.00553123i | 0.00172639 | − | 0.000216953i | ||||
\(651\) | −3.09197 | + | 11.5394i | −0.121184 | + | 0.452264i | ||||
\(652\) | 28.3576 | 1.11057 | ||||||||
\(653\) | 17.5953 | − | 30.4760i | 0.688559 | − | 1.19262i | −0.283745 | − | 0.958900i | \(-0.591577\pi\) |
0.972304 | − | 0.233719i | \(-0.0750897\pi\) | |||||||
\(654\) | 1.78232 | + | 3.08707i | 0.0696944 | + | 0.120714i | ||||
\(655\) | 34.8849 | + | 7.04583i | 1.36306 | + | 0.275303i | ||||
\(656\) | 34.3302i | 1.34037i | ||||||||
\(657\) | 0.972406 | − | 3.62907i | 0.0379372 | − | 0.141583i | ||||
\(658\) | 1.47731 | 0.0575917 | ||||||||
\(659\) | 12.1839 | − | 21.1031i | 0.474617 | − | 0.822061i | −0.524960 | − | 0.851127i | \(-0.675920\pi\) |
0.999578 | + | 0.0290654i | \(0.00925309\pi\) | |||||||
\(660\) | −2.28360 | + | 11.3064i | −0.0888889 | + | 0.440101i | ||||
\(661\) | −0.439593 | − | 1.64058i | −0.0170982 | − | 0.0638113i | 0.956850 | − | 0.290583i | \(-0.0938494\pi\) |
−0.973948 | + | 0.226772i | \(0.927183\pi\) | |||||||
\(662\) | −0.867825 | − | 3.23877i | −0.0337290 | − | 0.125878i | ||||
\(663\) | 0.912985 | − | 0.244634i | 0.0354574 | − | 0.00950078i | ||||
\(664\) | 6.04050 | + | 1.61855i | 0.234417 | + | 0.0628118i | ||||
\(665\) | 3.29183 | − | 2.18554i | 0.127652 | − | 0.0847516i | ||||
\(666\) | −0.428471 | − | 2.40399i | −0.0166029 | − | 0.0931528i | ||||
\(667\) | −11.4709 | + | 11.4709i | −0.444155 | + | 0.444155i | ||||
\(668\) | −13.9185 | − | 24.1075i | −0.538522 | − | 0.932747i | ||||
\(669\) | 6.50476 | − | 11.2666i | 0.251489 | − | 0.435591i | ||||
\(670\) | 0.0712163 | − | 0.0807261i | 0.00275133 | − | 0.00311872i | ||||
\(671\) | 11.6601 | − | 3.12431i | 0.450132 | − | 0.120613i | ||||
\(672\) | 5.89378 | 0.227357 | ||||||||
\(673\) | 27.4972 | − | 7.36787i | 1.05994 | − | 0.284010i | 0.313587 | − | 0.949559i | \(-0.398469\pi\) |
0.746354 | + | 0.665549i | \(0.231803\pi\) | |||||||
\(674\) | −3.64968 | + | 3.64968i | −0.140580 | + | 0.140580i | ||||
\(675\) | 4.49235 | + | 3.48931i | 0.172911 | + | 0.134303i | ||||
\(676\) | 25.6628 | 0.987032 | ||||||||
\(677\) | 16.7765 | + | 16.7765i | 0.644773 | + | 0.644773i | 0.951725 | − | 0.306952i | \(-0.0993090\pi\) |
−0.306952 | + | 0.951725i | \(0.599309\pi\) | |||||||
\(678\) | 1.15052 | − | 4.29381i | 0.0441856 | − | 0.164903i | ||||
\(679\) | −2.14872 | − | 8.01912i | −0.0824602 | − | 0.307746i | ||||
\(680\) | −8.55326 | + | 5.67877i | −0.328003 | + | 0.217771i | ||||
\(681\) | 39.9766 | + | 10.7117i | 1.53191 | + | 0.410473i | ||||
\(682\) | 0.654313 | + | 0.175323i | 0.0250549 | + | 0.00671345i | ||||
\(683\) | 8.54336 | − | 4.93251i | 0.326903 | − | 0.188737i | −0.327562 | − | 0.944830i | \(-0.606227\pi\) |
0.654465 | + | 0.756092i | \(0.272894\pi\) | |||||||
\(684\) | −6.35998 | + | 1.70415i | −0.243180 | + | 0.0651599i | ||||
\(685\) | −10.4460 | + | 11.8409i | −0.399123 | + | 0.452419i | ||||
\(686\) | 2.51160 | + | 0.672981i | 0.0958933 | + | 0.0256945i | ||||
\(687\) | 10.9211 | − | 40.7581i | 0.416666 | − | 1.55502i | ||||
\(688\) | 0.723394 | − | 0.417652i | 0.0275791 | − | 0.0159228i | ||||
\(689\) | −0.153877 | + | 0.153877i | −0.00586226 | + | 0.00586226i | ||||
\(690\) | −4.84807 | + | 5.49545i | −0.184563 | + | 0.209208i | ||||
\(691\) | −8.47971 | + | 4.89576i | −0.322583 | + | 0.186244i | −0.652543 | − | 0.757751i | \(-0.726298\pi\) |
0.329960 | + | 0.943995i | \(0.392965\pi\) | |||||||
\(692\) | 11.9372 | − | 11.9372i | 0.453783 | − | 0.453783i | ||||
\(693\) | −2.63774 | + | 2.63774i | −0.100199 | + | 0.100199i | ||||
\(694\) | 1.54820 | + | 2.68156i | 0.0587688 | + | 0.101791i | ||||
\(695\) | −20.0555 | − | 30.2072i | −0.760747 | − | 1.14582i | ||||
\(696\) | 2.39315 | + | 1.38169i | 0.0907121 | + | 0.0523727i | ||||
\(697\) | − | 64.5858i | − | 2.44636i | ||||||
\(698\) | −0.222151 | + | 0.384776i | −0.00840852 | + | 0.0145640i | ||||
\(699\) | 11.5640 | + | 6.67649i | 0.437392 | + | 0.252528i | ||||
\(700\) | 13.0378 | + | 1.79460i | 0.492783 | + | 0.0678295i | ||||
\(701\) | 4.24834 | − | 15.8550i | 0.160458 | − | 0.598836i | −0.838118 | − | 0.545488i | \(-0.816344\pi\) |
0.998576 | − | 0.0533476i | \(-0.0169891\pi\) | |||||||
\(702\) | 0.00713712 | + | 0.00713712i | 0.000269373 | + | 0.000269373i | ||||
\(703\) | −6.61355 | − | 4.61266i | −0.249435 | − | 0.173970i | ||||
\(704\) | 8.22651i | 0.310048i | ||||||||
\(705\) | −32.6605 | − | 16.2260i | −1.23007 | − | 0.611108i | ||||
\(706\) | 0.621378 | + | 0.358753i | 0.0233859 | + | 0.0135018i | ||||
\(707\) | −7.98610 | + | 2.13987i | −0.300348 | + | 0.0804780i | ||||
\(708\) | −12.7077 | − | 7.33678i | −0.477584 | − | 0.275733i | ||||
\(709\) | 23.1111 | − | 23.1111i | 0.867955 | − | 0.867955i | −0.124291 | − | 0.992246i | \(-0.539666\pi\) |
0.992246 | + | 0.124291i | \(0.0396656\pi\) | |||||||
\(710\) | −0.269514 | − | 4.30615i | −0.0101147 | − | 0.161607i | ||||
\(711\) | −3.11533 | − | 3.11533i | −0.116834 | − | 0.116834i | ||||
\(712\) | 6.61507 | + | 1.77250i | 0.247910 | + | 0.0664273i | ||||
\(713\) | −23.5950 | − | 23.5950i | −0.883640 | − | 0.883640i | ||||
\(714\) | −3.61664 | −0.135349 | ||||||||
\(715\) | −0.0615288 | + | 0.123848i | −0.00230105 | + | 0.00463165i | ||||
\(716\) | −21.1649 | + | 5.67111i | −0.790968 | + | 0.211939i | ||||
\(717\) | 62.5264i | 2.33509i | ||||||||
\(718\) | −1.53150 | − | 2.65263i | −0.0571550 | − | 0.0989954i | ||||
\(719\) | 14.8400 | − | 8.56790i | 0.553440 | − | 0.319529i | −0.197068 | − | 0.980390i | \(-0.563142\pi\) |
0.750508 | + | 0.660861i | \(0.229809\pi\) | |||||||
\(720\) | −19.3839 | − | 9.63011i | −0.722395 | − | 0.358893i | ||||
\(721\) | −5.59669 | − | 20.8871i | −0.208432 | − | 0.777878i | ||||
\(722\) | −1.37582 | + | 2.38299i | −0.0512027 | + | 0.0886857i | ||||
\(723\) | −32.2734 | − | 55.8992i | −1.20026 | − | 2.07891i | ||||
\(724\) | 2.31904 | + | 4.01670i | 0.0861865 | + | 0.149279i | ||||
\(725\) | 7.32550 | + | 5.68987i | 0.272062 | + | 0.211317i | ||||
\(726\) | −2.58719 | − | 2.58719i | −0.0960196 | − | 0.0960196i | ||||
\(727\) | −2.78699 | − | 1.60907i | −0.103364 | − | 0.0596771i | 0.447427 | − | 0.894320i | \(-0.352340\pi\) |
−0.550791 | + | 0.834643i | \(0.685674\pi\) | |||||||
\(728\) | 0.0454050 | + | 0.0121662i | 0.00168282 | + | 0.000450910i | ||||
\(729\) | − | 17.6903i | − | 0.655196i | ||||||
\(730\) | −0.105510 | + | 0.522393i | −0.00390509 | + | 0.0193346i | ||||
\(731\) | −1.36093 | + | 0.785734i | −0.0503359 | + | 0.0290614i | ||||
\(732\) | 50.3219i | 1.85995i | ||||||||
\(733\) | −1.15013 | − | 4.29234i | −0.0424810 | − | 0.158541i | 0.941427 | − | 0.337217i | \(-0.109485\pi\) |
−0.983908 | + | 0.178675i | \(0.942819\pi\) | |||||||
\(734\) | −0.554753 | − | 0.554753i | −0.0204763 | − | 0.0204763i | ||||
\(735\) | −20.5684 | − | 18.1454i | −0.758677 | − | 0.669302i | ||||
\(736\) | −8.23114 | + | 14.2568i | −0.303404 | + | 0.525511i | ||||
\(737\) | 0.0868564 | + | 0.324153i | 0.00319940 | + | 0.0119403i | ||||
\(738\) | −3.10178 | + | 1.79081i | −0.114178 | + | 0.0659208i | ||||
\(739\) | 32.2887 | 1.18776 | 0.593879 | − | 0.804554i | \(-0.297596\pi\) | ||||
0.593879 | + | 0.804554i | \(0.297596\pi\) | |||||||
\(740\) | −6.35486 | − | 26.0939i | −0.233609 | − | 0.959230i | ||||
\(741\) | −0.173081 | −0.00635827 | ||||||||
\(742\) | 0.721117 | − | 0.416337i | 0.0264730 | − | 0.0152842i | ||||
\(743\) | 2.09687 | + | 7.82563i | 0.0769268 | + | 0.287095i | 0.993663 | − | 0.112398i | \(-0.0358531\pi\) |
−0.916737 | + | 0.399492i | \(0.869186\pi\) | |||||||
\(744\) | −2.84206 | + | 4.92259i | −0.104195 | + | 0.180471i | ||||
\(745\) | 2.16187 | + | 34.5413i | 0.0792050 | + | 1.26550i | ||||
\(746\) | 1.66097 | + | 1.66097i | 0.0608123 | + | 0.0608123i | ||||
\(747\) | −6.41941 | − | 23.9576i | −0.234874 | − | 0.876562i | ||||
\(748\) | − | 15.9003i | − | 0.581373i | ||||||
\(749\) | 8.10289 | − | 4.67821i | 0.296073 | − | 0.170938i | ||||
\(750\) | 3.46333 | + | 2.35862i | 0.126463 | + | 0.0861246i | ||||
\(751\) | 1.69863i | 0.0619838i | 0.999520 | + | 0.0309919i | \(0.00986662\pi\) | ||||
−0.999520 | + | 0.0309919i | \(0.990133\pi\) | |||||||
\(752\) | −25.8110 | − | 6.91605i | −0.941232 | − | 0.252202i | ||||
\(753\) | 14.5498 | + | 8.40034i | 0.530225 | + | 0.306125i | ||||
\(754\) | 0.0116382 | + | 0.0116382i | 0.000423839 | + | 0.000423839i | ||||
\(755\) | −38.4185 | − | 19.0867i | −1.39819 | − | 0.694637i | ||||
\(756\) | 1.49724 | + | 2.59329i | 0.0544541 | + | 0.0943172i | ||||
\(757\) | 4.94560 | + | 8.56604i | 0.179751 | + | 0.311338i | 0.941795 | − | 0.336187i | \(-0.109137\pi\) |
−0.762044 | + | 0.647525i | \(0.775804\pi\) | |||||||
\(758\) | −2.34723 | + | 4.06553i | −0.0852554 | + | 0.147667i | ||||
\(759\) | −5.91278 | − | 22.0668i | −0.214620 | − | 0.800973i | ||||
\(760\) | 1.78202 | − | 0.599070i | 0.0646406 | − | 0.0217306i | ||||
\(761\) | 21.6304 | − | 12.4883i | 0.784101 | − | 0.452701i | −0.0537808 | − | 0.998553i | \(-0.517127\pi\) |
0.837882 | + | 0.545852i | \(0.183794\pi\) | |||||||
\(762\) | 2.49230 | + | 4.31678i | 0.0902863 | + | 0.156381i | ||||
\(763\) | 12.6789i | 0.459009i | ||||||||
\(764\) | −20.0052 | + | 5.36039i | −0.723764 | + | 0.193932i | ||||
\(765\) | 36.4672 | + | 18.1173i | 1.31847 | + | 0.655031i | ||||
\(766\) | −1.75275 | −0.0633295 | ||||||||
\(767\) | −0.124395 | − | 0.124395i | −0.00449166 | − | 0.00449166i | ||||
\(768\) | −31.7622 | − | 8.51065i | −1.14612 | − | 0.307102i | ||||
\(769\) | 2.58925 | + | 2.58925i | 0.0933709 | + | 0.0933709i | 0.752249 | − | 0.658878i | \(-0.228969\pi\) |
−0.658878 | + | 0.752249i | \(0.728969\pi\) | |||||||
\(770\) | 0.350060 | − | 0.396804i | 0.0126153 | − | 0.0142998i | ||||
\(771\) | −1.09349 | + | 1.09349i | −0.0393810 | + | 0.0393810i | ||||
\(772\) | 13.7320 | + | 7.92815i | 0.494224 | + | 0.285340i | ||||
\(773\) | −34.5092 | + | 9.24672i | −1.24121 | + | 0.332581i | −0.818935 | − | 0.573886i | \(-0.805435\pi\) |
−0.422276 | + | 0.906467i | \(0.638769\pi\) | |||||||
\(774\) | 0.0754709 | + | 0.0435732i | 0.00271275 | + | 0.00156620i | ||||
\(775\) | −11.7038 | + | 15.0682i | −0.420412 | + | 0.541264i | ||||
\(776\) | − | 3.95008i | − | 0.141800i | ||||||
\(777\) | 6.48012 | − | 17.9069i | 0.232473 | − | 0.642406i | ||||
\(778\) | 3.67335 | + | 3.67335i | 0.131696 | + | 0.131696i | ||||
\(779\) | −3.06099 | + | 11.4238i | −0.109671 | + | 0.409299i | ||||
\(780\) | −0.432305 | − | 0.381378i | −0.0154790 | − | 0.0136555i | ||||
\(781\) | 11.6483 | + | 6.72514i | 0.416808 | + | 0.240644i | ||||
\(782\) | 5.05093 | − | 8.74846i | 0.180621 | − | 0.312844i | ||||
\(783\) | 2.11050i | 0.0754230i | ||||||||
\(784\) | −17.4047 | − | 10.0486i | −0.621597 | − | 0.358879i | ||||
\(785\) | 12.7552 | + | 2.57622i | 0.455252 | + | 0.0919491i | ||||
\(786\) | 2.98252 | + | 5.16588i | 0.106383 | + | 0.184261i | ||||
\(787\) | 26.2196 | − | 26.2196i | 0.934627 | − | 0.934627i | −0.0633639 | − | 0.997990i | \(-0.520183\pi\) |
0.997990 | + | 0.0633639i | \(0.0201829\pi\) | |||||||
\(788\) | 24.4999 | − | 24.4999i | 0.872774 | − | 0.872774i | ||||
\(789\) | 43.6615 | − | 25.2080i | 1.55439 | − | 0.897427i | ||||
\(790\) | 0.468650 | + | 0.413442i | 0.0166738 | + | 0.0147096i | ||||
\(791\) | 11.1802 | − | 11.1802i | 0.397524 | − | 0.397524i | ||||
\(792\) | −1.53710 | + | 0.887442i | −0.0546183 | + | 0.0315339i | ||||
\(793\) | −0.156148 | + | 0.582753i | −0.00554498 | + | 0.0206942i | ||||
\(794\) | −2.71158 | − | 0.726566i | −0.0962304 | − | 0.0257848i | ||||
\(795\) | −20.5153 | + | 1.28401i | −0.727602 | + | 0.0455392i | ||||
\(796\) | 23.1204 | − | 6.19510i | 0.819482 | − | 0.219580i | ||||
\(797\) | −1.78096 | + | 1.02824i | −0.0630850 | + | 0.0364221i | −0.531211 | − | 0.847240i | \(-0.678263\pi\) |
0.468126 | + | 0.883662i | \(0.344929\pi\) | |||||||
\(798\) | 0.639701 | + | 0.171407i | 0.0226452 | + | 0.00606776i | ||||
\(799\) | 48.5587 | + | 13.0113i | 1.71788 | + | 0.460305i | ||||
\(800\) | 8.67500 | + | 3.65328i | 0.306708 | + | 0.129163i | ||||
\(801\) | −7.03003 | − | 26.2364i | −0.248394 | − | 0.927018i | ||||
\(802\) | −0.0847601 | + | 0.316329i | −0.00299298 | + | 0.0111700i | ||||
\(803\) | −1.17478 | − | 1.17478i | −0.0414572 | − | 0.0414572i | ||||
\(804\) | −1.39896 | −0.0493375 | ||||||||
\(805\) | −24.7069 | + | 8.30586i | −0.870805 | + | 0.292743i | ||||
\(806\) | −0.0239392 | + | 0.0239392i | −0.000843223 | + | 0.000843223i | ||||
\(807\) | −3.00126 | + | 0.804186i | −0.105649 | + | 0.0283087i | ||||
\(808\) | −3.93382 | −0.138391 | ||||||||
\(809\) | −12.7352 | + | 3.41238i | −0.447745 | + | 0.119973i | −0.475644 | − | 0.879638i | \(-0.657785\pi\) |
0.0278993 | + | 0.999611i | \(0.491118\pi\) | |||||||
\(810\) | 0.227773 | + | 3.63923i | 0.00800312 | + | 0.127870i | ||||
\(811\) | 5.76149 | − | 9.97919i | 0.202313 | − | 0.350417i | −0.746960 | − | 0.664869i | \(-0.768487\pi\) |
0.949273 | + | 0.314452i | \(0.101821\pi\) | |||||||
\(812\) | 2.44149 | + | 4.22878i | 0.0856794 | + | 0.148401i | ||||
\(813\) | −21.0607 | + | 21.0607i | −0.738630 | + | 0.738630i | ||||
\(814\) | −1.01537 | − | 0.367439i | −0.0355885 | − | 0.0128787i | ||||
\(815\) | 17.7627 | + | 26.7539i | 0.622201 | + | 0.937149i | ||||
\(816\) | 63.1884 | + | 16.9313i | 2.21204 | + | 0.592714i | ||||
\(817\) | 0.277957 | − | 0.0744784i | 0.00972449 | − | 0.00260567i | ||||
\(818\) | 1.11354 | + | 4.15579i | 0.0389341 | + | 0.145304i | ||||
\(819\) | −0.0482532 | − | 0.180083i | −0.00168610 | − | 0.00629262i | ||||
\(820\) | −32.8175 | + | 21.7885i | −1.14604 | + | 0.760887i | ||||
\(821\) | −20.9613 | + | 36.3060i | −0.731555 | + | 1.26709i | 0.224664 | + | 0.974436i | \(0.427872\pi\) |
−0.956219 | + | 0.292653i | \(0.905462\pi\) | |||||||
\(822\) | −2.64655 | −0.0923089 | ||||||||
\(823\) | 11.4992 | − | 42.9157i | 0.400837 | − | 1.49595i | −0.410768 | − | 0.911740i | \(-0.634739\pi\) |
0.811606 | − | 0.584206i | \(-0.198594\pi\) | |||||||
\(824\) | − | 10.2887i | − | 0.358422i | ||||||
\(825\) | −12.0974 | + | 4.92768i | −0.421178 | + | 0.171560i | ||||
\(826\) | 0.336569 | + | 0.582955i | 0.0117107 | + | 0.0202836i | ||||
\(827\) | −9.03458 | + | 15.6483i | −0.314163 | + | 0.544146i | −0.979259 | − | 0.202611i | \(-0.935057\pi\) |
0.665096 | + | 0.746758i | \(0.268391\pi\) | |||||||
\(828\) | 43.4352 | 1.50948 | ||||||||
\(829\) | 1.44172 | − | 5.38055i | 0.0500728 | − | 0.186874i | −0.936360 | − | 0.351042i | \(-0.885827\pi\) |
0.986432 | + | 0.164168i | \(0.0524939\pi\) | |||||||
\(830\) | 1.12110 | + | 3.33486i | 0.0389138 | + | 0.115755i | ||||
\(831\) | −15.5634 | + | 58.0835i | −0.539889 | + | 2.01489i | ||||
\(832\) | −0.356065 | − | 0.205574i | −0.0123443 | − | 0.00712700i | ||||
\(833\) | 32.7438 | + | 18.9046i | 1.13450 | + | 0.655007i | ||||
\(834\) | 1.57291 | − | 5.87017i | 0.0544654 | − | 0.203267i | ||||
\(835\) | 14.0259 | − | 28.2319i | 0.485386 | − | 0.977005i | ||||
\(836\) | −0.753581 | + | 2.81240i | −0.0260631 | + | 0.0972690i | ||||
\(837\) | −4.34118 | −0.150053 | ||||||||
\(838\) | −0.900770 | + | 1.56018i | −0.0311166 | + | 0.0538955i | ||||
\(839\) | −3.91708 | − | 6.78459i | −0.135233 | − | 0.234230i | 0.790454 | − | 0.612522i | \(-0.209845\pi\) |
−0.925686 | + | 0.378292i | \(0.876512\pi\) | |||||||
\(840\) | 2.45593 | + | 3.69908i | 0.0847377 | + | 0.127631i | ||||
\(841\) | − | 25.5585i | − | 0.881328i | ||||||
\(842\) | −1.26033 | + | 4.70361i | −0.0434337 | + | 0.162097i | ||||
\(843\) | 45.8348 | 1.57863 | ||||||||
\(844\) | 2.41492 | − | 4.18276i | 0.0831250 | − | 0.143977i | ||||
\(845\) | 16.0748 | + | 24.2116i | 0.552989 | + | 0.832903i | ||||
\(846\) | −0.721544 | − | 2.69284i | −0.0248072 | − | 0.0925817i | ||||
\(847\) | −3.36826 | − | 12.5705i | −0.115735 | − | 0.431929i | ||||
\(848\) | −14.5481 | + | 3.89816i | −0.499585 | + | 0.133863i | ||||
\(849\) | −55.0693 | − | 14.7558i | −1.88997 | − | 0.506417i | ||||
\(850\) | −5.32330 | − | 2.24178i | −0.182588 | − | 0.0768925i | ||||
\(851\) | 34.2658 | + | 40.6835i | 1.17462 | + | 1.39461i | ||||
\(852\) | −39.6475 | + | 39.6475i | −1.35830 | + | 1.35830i | ||||
\(853\) | 17.9024 | + | 31.0079i | 0.612967 | + | 1.06169i | 0.990738 | + | 0.135791i | \(0.0433575\pi\) |
−0.377771 | + | 0.925899i | \(0.623309\pi\) | |||||||
\(854\) | 1.15424 | − | 1.99920i | 0.0394972 | − | 0.0684112i | ||||
\(855\) | −5.59157 | − | 4.93286i | −0.191228 | − | 0.168700i | ||||
\(856\) | 4.30008 | − | 1.15220i | 0.146974 | − | 0.0393815i | ||||
\(857\) | −15.8710 | −0.542144 | −0.271072 | − | 0.962559i | \(-0.587378\pi\) | ||||
−0.271072 | + | 0.962559i | \(0.587378\pi\) | |||||||
\(858\) | −0.0223887 | + | 0.00599903i | −0.000764337 | + | 0.000204803i | ||||
\(859\) | 9.17431 | − | 9.17431i | 0.313024 | − | 0.313024i | −0.533056 | − | 0.846080i | \(-0.678957\pi\) |
0.846080 | + | 0.533056i | \(0.178957\pi\) | |||||||
\(860\) | 0.858368 | + | 0.426446i | 0.0292701 | + | 0.0145417i | ||||
\(861\) | −27.9318 | −0.951915 | ||||||||
\(862\) | −1.12293 | − | 1.12293i | −0.0382470 | − | 0.0382470i | ||||
\(863\) | −7.82135 | + | 29.1897i | −0.266242 | + | 0.993628i | 0.695244 | + | 0.718774i | \(0.255296\pi\) |
−0.961486 | + | 0.274855i | \(0.911370\pi\) | |||||||
\(864\) | 0.554318 | + | 2.06874i | 0.0188583 | + | 0.0703800i | ||||
\(865\) | 18.7393 | + | 3.78486i | 0.637157 | + | 0.128689i | ||||
\(866\) | −5.11876 | − | 1.37157i | −0.173943 | − | 0.0466078i | ||||
\(867\) | −80.3128 | − | 21.5197i | −2.72756 | − | 0.730849i | ||||
\(868\) | −8.69838 | + | 5.02201i | −0.295242 | + | 0.170458i | ||||
\(869\) | −1.88185 | + | 0.504240i | −0.0638373 | + | 0.0171052i | ||||
\(870\) | 0.0971138 | + | 1.55163i | 0.00329247 | + | 0.0526053i | ||||
\(871\) | −0.0162007 | − | 0.00434095i | −0.000548938 | − | 0.000147088i | ||||
\(872\) | −1.56136 | + | 5.82707i | −0.0528743 | + | 0.197330i | ||||
\(873\) | −13.5677 | + | 7.83333i | −0.459198 | + | 0.265118i | ||||
\(874\) | −1.30802 | + | 1.30802i | −0.0442444 | + | 0.0442444i | ||||
\(875\) | 6.47356 | + | 13.4246i | 0.218846 | + | 0.453835i | ||||
\(876\) | 5.99795 | − | 3.46292i | 0.202652 | − | 0.117001i | ||||
\(877\) | −31.6105 | + | 31.6105i | −1.06741 | + | 1.06741i | −0.0698527 | + | 0.997557i | \(0.522253\pi\) |
−0.997557 | + | 0.0698527i | \(0.977747\pi\) | |||||||
\(878\) | 3.56181 | − | 3.56181i | 0.120205 | − | 0.120205i | ||||
\(879\) | −27.2595 | − | 47.2149i | −0.919441 | − | 1.59252i | ||||
\(880\) | −7.97374 | + | 5.29400i | −0.268795 | + | 0.178461i | ||||
\(881\) | 35.3270 | + | 20.3960i | 1.19020 | + | 0.687160i | 0.958351 | − | 0.285593i | \(-0.0921904\pi\) |
0.231845 | + | 0.972753i | \(0.425524\pi\) | |||||||
\(882\) | − | 2.09672i | − | 0.0706004i | ||||||
\(883\) | 0.609707 | − | 1.05604i | 0.0205183 | − | 0.0355387i | −0.855584 | − | 0.517664i | \(-0.826802\pi\) |
0.876102 | + | 0.482125i | \(0.160135\pi\) | |||||||
\(884\) | 0.688207 | + | 0.397336i | 0.0231469 | + | 0.0133639i | ||||
\(885\) | −1.03800 | − | 16.5847i | −0.0348921 | − | 0.557488i | ||||
\(886\) | 0.187446 | − | 0.699560i | 0.00629739 | − | 0.0235022i | ||||
\(887\) | −3.60463 | − | 3.60463i | −0.121032 | − | 0.121032i | 0.643997 | − | 0.765028i | \(-0.277275\pi\) |
−0.765028 | + | 0.643997i | \(0.777275\pi\) | |||||||
\(888\) | 5.18333 | − | 7.43176i | 0.173941 | − | 0.249394i | ||||
\(889\) | 17.7295i | 0.594628i | ||||||||
\(890\) | 1.22774 | + | 3.65207i | 0.0411538 | + | 0.122418i | ||||
\(891\) | −9.84424 | − | 5.68358i | −0.329795 | − | 0.190407i | ||||
\(892\) | 10.5651 | − | 2.83091i | 0.353746 | − | 0.0947859i | ||||
\(893\) | −7.97228 | − | 4.60280i | −0.266782 | − | 0.154027i | ||||
\(894\) | −4.10173 | + | 4.10173i | −0.137182 | + | 0.137182i | ||||
\(895\) | −18.6077 | − | 16.4157i | −0.621988 | − | 0.548716i | ||||
\(896\) | 4.66148 | + | 4.66148i | 0.155729 | + | 0.155729i | ||||
\(897\) | 1.10286 | + | 0.295512i | 0.0368236 | + | 0.00986684i | ||||
\(898\) | −2.53133 | − | 2.53133i | −0.0844717 | − | 0.0844717i | ||||
\(899\) | −7.07899 | −0.236098 | ||||||||
\(900\) | −3.09669 | − | 24.6418i | −0.103223 | − | 0.821392i | ||||
\(901\) | 27.3696 | − | 7.33367i | 0.911815 | − | 0.244320i | ||||
\(902\) | 1.58381i | 0.0527350i | ||||||||
\(903\) | 0.339811 | + | 0.588571i | 0.0113082 | + | 0.0195864i | ||||
\(904\) | 6.51509 | − | 3.76149i | 0.216689 | − | 0.125105i | ||||
\(905\) | −2.33694 | + | 4.70389i | −0.0776824 | + | 0.156363i | ||||
\(906\) | −1.86094 | − | 6.94514i | −0.0618257 | − | 0.230737i | ||||
\(907\) | −11.1521 | + | 19.3160i | −0.370299 | + | 0.641376i | −0.989611 | − | 0.143768i | \(-0.954078\pi\) |
0.619313 | + | 0.785144i | \(0.287411\pi\) | |||||||
\(908\) | 17.3981 | + | 30.1343i | 0.577375 | + | 1.00004i | ||||
\(909\) | 7.80107 | + | 13.5119i | 0.258745 | + | 0.448160i | ||||
\(910\) | 0.00842702 | + | 0.0250673i | 0.000279353 | + | 0.000830974i | ||||
\(911\) | −7.36848 | − | 7.36848i | −0.244129 | − | 0.244129i | 0.574427 | − | 0.818556i | \(-0.305225\pi\) |
−0.818556 | + | 0.574427i | \(0.805225\pi\) | |||||||
\(912\) | −10.3742 | − | 5.98952i | −0.343523 | − | 0.198333i | ||||
\(913\) | −10.5941 | − | 2.83868i | −0.350614 | − | 0.0939467i | ||||
\(914\) | 0.329544i | 0.0109003i | ||||||||
\(915\) | −47.4761 | + | 31.5208i | −1.56951 | + | 1.04205i | ||||
\(916\) | 30.7234 | − | 17.7382i | 1.01513 | − | 0.586086i | ||||
\(917\) | 21.2168i | 0.700641i | ||||||||
\(918\) | −0.340149 | − | 1.26945i | −0.0112266 | − | 0.0418983i | ||||
\(919\) | −4.32325 | − | 4.32325i | −0.142611 | − | 0.142611i | 0.632197 | − | 0.774808i | \(-0.282153\pi\) |
−0.774808 | + | 0.632197i | \(0.782153\pi\) | |||||||
\(920\) | −12.3778 | + | 0.774703i | −0.408084 | + | 0.0255412i | ||||
\(921\) | −19.7072 | + | 34.1338i | −0.649374 | + | 1.12475i | ||||
\(922\) | 0.788019 | + | 2.94093i | 0.0259520 | + | 0.0968543i | ||||
\(923\) | −0.582163 | + | 0.336112i | −0.0191621 | + | 0.0110633i | ||||
\(924\) | −6.87650 | −0.226220 | ||||||||
\(925\) | 20.6377 | − | 22.3403i | 0.678562 | − | 0.734543i | ||||
\(926\) | −4.78851 | −0.157360 | ||||||||
\(927\) | −35.3394 | + | 20.4032i | −1.16070 | + | 0.670130i | ||||
\(928\) | 0.903904 | + | 3.37341i | 0.0296721 | + | 0.110738i | ||||
\(929\) | −2.01655 | + | 3.49277i | −0.0661609 | + | 0.114594i | −0.897208 | − | 0.441607i | \(-0.854408\pi\) |
0.831047 | + | 0.556201i | \(0.187742\pi\) | |||||||
\(930\) | −3.19163 | + | 0.199758i | −0.104658 | + | 0.00655033i | ||||
\(931\) | −4.89566 | − | 4.89566i | −0.160449 | − | 0.160449i | ||||
\(932\) | 2.90565 | + | 10.8440i | 0.0951777 | + | 0.355208i | ||||
\(933\) | 58.3519i | 1.91036i | ||||||||
\(934\) | 4.16126 | − | 2.40250i | 0.136160 | − | 0.0786123i | ||||
\(935\) | 15.0011 | − | 9.95969i | 0.490589 | − | 0.325717i | ||||
\(936\) | − | 0.0887060i | − | 0.00289945i | ||||||
\(937\) | −57.8420 | − | 15.4987i | −1.88962 | − | 0.506321i | −0.998632 | − | 0.0522873i | \(-0.983349\pi\) |
−0.890984 | − | 0.454034i | \(-0.849984\pi\) | |||||||
\(938\) | 0.0555782 | + | 0.0320881i | 0.00181469 | + | 0.00104771i | ||||
\(939\) | 23.6320 | + | 23.6320i | 0.771200 | + | 0.771200i | ||||
\(940\) | −9.77031 | − | 29.0632i | −0.318672 | − | 0.947936i | ||||
\(941\) | 1.49291 | + | 2.58579i | 0.0486673 | + | 0.0842943i | 0.889333 | − | 0.457260i | \(-0.151169\pi\) |
−0.840666 | + | 0.541555i | \(0.817836\pi\) | |||||||
\(942\) | 1.09052 | + | 1.88884i | 0.0355311 | + | 0.0615416i | ||||
\(943\) | 39.0091 | − | 67.5657i | 1.27031 | − | 2.20024i | ||||
\(944\) | −3.15130 | − | 11.7608i | −0.102566 | − | 0.382782i | ||||
\(945\) | −1.50879 | + | 3.03696i | −0.0490811 | + | 0.0987925i | ||||
\(946\) | 0.0333735 | − | 0.0192682i | 0.00108506 | − | 0.000626462i | ||||
\(947\) | 11.6925 | + | 20.2520i | 0.379955 | + | 0.658102i | 0.991055 | − | 0.133452i | \(-0.0426061\pi\) |
−0.611100 | + | 0.791553i | \(0.709273\pi\) | |||||||
\(948\) | − | 8.12157i | − | 0.263776i | ||||||
\(949\) | 0.0802047 | − | 0.0214908i | 0.00260355 | − | 0.000697620i | ||||
\(950\) | 0.835323 | + | 0.648814i | 0.0271015 | + | 0.0210503i | ||||
\(951\) | 19.5027 | 0.632417 | ||||||||
\(952\) | −4.32793 | − | 4.32793i | −0.140269 | − | 0.140269i | ||||
\(953\) | −40.6168 | − | 10.8832i | −1.31571 | − | 0.352543i | −0.468340 | − | 0.883548i | \(-0.655148\pi\) |
−0.847368 | + | 0.531006i | \(0.821814\pi\) | |||||||
\(954\) | −1.11110 | − | 1.11110i | −0.0359732 | − | 0.0359732i | ||||
\(955\) | −17.5882 | − | 15.5163i | −0.569141 | − | 0.502094i | ||||
\(956\) | −37.1721 | + | 37.1721i | −1.20223 | + | 1.20223i | ||||
\(957\) | −4.19722 | − | 2.42327i | −0.135677 | − | 0.0783331i | ||||
\(958\) | 1.49544 | − | 0.400702i | 0.0483155 | − | 0.0129461i | ||||
\(959\) | −8.15224 | − | 4.70670i | −0.263249 | − | 0.151987i | ||||
\(960\) | −12.3752 | − | 36.8116i | −0.399406 | − | 1.18809i | ||||
\(961\) | 16.4389i | 0.530287i | ||||||||
\(962\) | 0.0412769 | − | 0.0347657i | 0.00133082 | − | 0.00112089i | ||||
\(963\) | −12.4850 | − | 12.4850i | −0.402323 | − | 0.402323i | ||||
\(964\) | 14.0456 | − | 52.4189i | 0.452378 | − | 1.68830i | ||||
\(965\) | 1.12167 | + | 17.9215i | 0.0361079 | + | 0.576912i | ||||
\(966\) | −3.78350 | − | 2.18441i | −0.121732 | − | 0.0702821i | ||||
\(967\) | −25.3593 | + | 43.9235i | −0.815499 | + | 1.41249i | 0.0934707 | + | 0.995622i | \(0.470204\pi\) |
−0.908969 | + | 0.416863i | \(0.863129\pi\) | |||||||
\(968\) | − | 6.19204i | − | 0.199020i | ||||||
\(969\) | 19.5171 | + | 11.2682i | 0.626978 | + | 0.361986i | ||||
\(970\) | 1.85141 | − | 1.22921i | 0.0594452 | − | 0.0394675i | ||||
\(971\) | −28.6717 | − | 49.6608i | −0.920118 | − | 1.59369i | −0.799231 | − | 0.601025i | \(-0.794759\pi\) |
−0.120887 | − | 0.992666i | \(-0.538574\pi\) | |||||||
\(972\) | 28.7418 | − | 28.7418i | 0.921895 | − | 0.921895i | ||||
\(973\) | 15.2848 | − | 15.2848i | 0.490007 | − | 0.490007i | ||||
\(974\) | 3.17124 | − | 1.83092i | 0.101613 | − | 0.0586664i | ||||
\(975\) | 0.0890220 | − | 0.646747i | 0.00285099 | − | 0.0207125i | ||||
\(976\) | −29.5257 | + | 29.5257i | −0.945093 | + | 0.945093i | ||||
\(977\) | −2.60893 | + | 1.50627i | −0.0834671 | + | 0.0481897i | −0.541153 | − | 0.840924i | \(-0.682012\pi\) |
0.457686 | + | 0.889114i | \(0.348679\pi\) | |||||||
\(978\) | −1.39309 | + | 5.19909i | −0.0445462 | + | 0.166249i | ||||
\(979\) | −11.6018 | − | 3.10870i | −0.370796 | − | 0.0993544i | ||||
\(980\) | −1.44049 | − | 23.0154i | −0.0460148 | − | 0.735201i | ||||
\(981\) | 23.1111 | − | 6.19260i | 0.737881 | − | 0.197715i | ||||
\(982\) | 0.532199 | − | 0.307265i | 0.0169832 | − | 0.00980523i | ||||
\(983\) | −17.3495 | − | 4.64878i | −0.553362 | − | 0.148273i | −0.0287071 | − | 0.999588i | \(-0.509139\pi\) |
−0.524655 | + | 0.851315i | \(0.675806\pi\) | |||||||
\(984\) | −12.8371 | − | 3.43969i | −0.409232 | − | 0.109653i | ||||
\(985\) | 38.4608 | + | 7.76808i | 1.22546 | + | 0.247511i | ||||
\(986\) | −0.554668 | − | 2.07005i | −0.0176642 | − | 0.0659238i | ||||
\(987\) | 5.62706 | − | 21.0005i | 0.179111 | − | 0.668453i | ||||
\(988\) | −0.102897 | − | 0.102897i | −0.00327358 | − | 0.00327358i | ||||
\(989\) | −1.89830 | −0.0603623 | ||||||||
\(990\) | −0.894267 | − | 0.444281i | −0.0284217 | − | 0.0141202i | ||||
\(991\) | 28.6913 | − | 28.6913i | 0.911409 | − | 0.911409i | −0.0849743 | − | 0.996383i | \(-0.527081\pi\) |
0.996383 | + | 0.0849743i | \(0.0270808\pi\) | |||||||
\(992\) | −6.93894 | + | 1.85928i | −0.220311 | + | 0.0590323i | ||||
\(993\) | −49.3456 | −1.56593 | ||||||||
\(994\) | 2.48452 | − | 0.665726i | 0.0788043 | − | 0.0211156i | ||||
\(995\) | 20.3270 | + | 17.9324i | 0.644410 | + | 0.568496i | ||||
\(996\) | 22.8607 | − | 39.5959i | 0.724370 | − | 1.25465i | ||||
\(997\) | 25.1604 | + | 43.5791i | 0.796838 | + | 1.38016i | 0.921665 | + | 0.387986i | \(0.126829\pi\) |
−0.124827 | + | 0.992178i | \(0.539838\pi\) | |||||||
\(998\) | 0.817235 | − | 0.817235i | 0.0258691 | − | 0.0258691i | ||||
\(999\) | 6.89485 | + | 0.590383i | 0.218144 | + | 0.0186789i |
(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 | 185.2.u.a.8.10 | yes | 68 | |
5.2 | odd | 4 | 185.2.p.a.82.10 | ✓ | 68 | ||
5.3 | odd | 4 | 925.2.t.b.82.8 | 68 | |||
5.4 | even | 2 | 925.2.y.b.193.8 | 68 | |||
37.14 | odd | 12 | 185.2.p.a.88.10 | yes | 68 | ||
185.14 | odd | 12 | 925.2.t.b.643.8 | 68 | |||
185.88 | even | 12 | 925.2.y.b.532.8 | 68 | |||
185.162 | even | 12 | inner | 185.2.u.a.162.10 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
185.2.p.a.82.10 | ✓ | 68 | 5.2 | odd | 4 | ||
185.2.p.a.88.10 | yes | 68 | 37.14 | odd | 12 | ||
185.2.u.a.8.10 | yes | 68 | 1.1 | even | 1 | trivial | |
185.2.u.a.162.10 | yes | 68 | 185.162 | even | 12 | inner | |
925.2.t.b.82.8 | 68 | 5.3 | odd | 4 | |||
925.2.t.b.643.8 | 68 | 185.14 | odd | 12 | |||
925.2.y.b.193.8 | 68 | 5.4 | even | 2 | |||
925.2.y.b.532.8 | 68 | 185.88 | even | 12 |