Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 15.6 | ||
Character | \(\chi\) | \(=\) | 76.15 |
Dual form | 76.2.k.a.71.6 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.854626 | + | 1.12677i | 0.604312 | + | 0.796748i | ||||
\(3\) | 0.00846870 | + | 0.0480284i | 0.00488941 | + | 0.0277292i | 0.987155 | − | 0.159766i | \(-0.0510741\pi\) |
−0.982265 | + | 0.187496i | \(0.939963\pi\) | |||||||
\(4\) | −0.539229 | + | 1.92594i | −0.269614 | + | 0.962968i | ||||
\(5\) | 0.579816 | − | 0.486524i | 0.259302 | − | 0.217580i | −0.503864 | − | 0.863783i | \(-0.668089\pi\) |
0.763165 | + | 0.646203i | \(0.223644\pi\) | |||||||
\(6\) | −0.0468794 | + | 0.0505886i | −0.0191385 | + | 0.0206527i | ||||
\(7\) | −2.62687 | − | 1.51662i | −0.992862 | − | 0.573229i | −0.0867337 | − | 0.996232i | \(-0.527643\pi\) |
−0.906129 | + | 0.423002i | \(0.860976\pi\) | |||||||
\(8\) | −2.63093 | + | 1.03837i | −0.930174 | + | 0.367118i | ||||
\(9\) | 2.81684 | − | 1.02525i | 0.938948 | − | 0.341749i | ||||
\(10\) | 1.04373 | + | 0.237525i | 0.330055 | + | 0.0751119i | ||||
\(11\) | 0.655865 | − | 0.378664i | 0.197751 | − | 0.114171i | −0.397855 | − | 0.917448i | \(-0.630245\pi\) |
0.595606 | + | 0.803277i | \(0.296912\pi\) | |||||||
\(12\) | −0.0970662 | − | 0.00958810i | −0.0280206 | − | 0.00276785i | ||||
\(13\) | −1.53562 | − | 0.270771i | −0.425904 | − | 0.0750984i | −0.0434122 | − | 0.999057i | \(-0.513823\pi\) |
−0.382492 | + | 0.923959i | \(0.624934\pi\) | |||||||
\(14\) | −0.536102 | − | 4.25602i | −0.143279 | − | 1.13747i | ||||
\(15\) | 0.0282772 | + | 0.0237274i | 0.00730115 | + | 0.00612639i | ||||
\(16\) | −3.41846 | − | 2.07704i | −0.854616 | − | 0.519260i | ||||
\(17\) | −4.84662 | − | 1.76403i | −1.17548 | − | 0.427839i | −0.320875 | − | 0.947121i | \(-0.603977\pi\) |
−0.854603 | + | 0.519282i | \(0.826199\pi\) | |||||||
\(18\) | 3.56257 | + | 2.29774i | 0.839705 | + | 0.541582i | ||||
\(19\) | 4.29322 | + | 0.753853i | 0.984931 | + | 0.172946i | ||||
\(20\) | 0.624360 | + | 1.37904i | 0.139611 | + | 0.308362i | ||||
\(21\) | 0.0505948 | − | 0.139008i | 0.0110407 | − | 0.0303340i | ||||
\(22\) | 0.987187 | + | 0.415394i | 0.210469 | + | 0.0885624i | ||||
\(23\) | 1.13123 | − | 1.34815i | 0.235879 | − | 0.281109i | −0.635100 | − | 0.772430i | \(-0.719041\pi\) |
0.870979 | + | 0.491321i | \(0.163486\pi\) | |||||||
\(24\) | −0.0721517 | − | 0.117566i | −0.0147279 | − | 0.0239980i | ||||
\(25\) | −0.768759 | + | 4.35985i | −0.153752 | + | 0.871970i | ||||
\(26\) | −1.00728 | − | 1.96170i | −0.197544 | − | 0.384721i | ||||
\(27\) | 0.146250 | + | 0.253312i | 0.0281458 | + | 0.0487500i | ||||
\(28\) | 4.33740 | − | 4.24137i | 0.819692 | − | 0.801544i | ||||
\(29\) | −0.178978 | − | 0.491737i | −0.0332353 | − | 0.0913133i | 0.921965 | − | 0.387273i | \(-0.126583\pi\) |
−0.955200 | + | 0.295960i | \(0.904361\pi\) | |||||||
\(30\) | −0.00256892 | + | 0.0521400i | −0.000469019 | + | 0.00951942i | ||||
\(31\) | −3.59957 | + | 6.23464i | −0.646502 | + | 1.11978i | 0.337450 | + | 0.941343i | \(0.390436\pi\) |
−0.983952 | + | 0.178432i | \(0.942898\pi\) | |||||||
\(32\) | −0.581158 | − | 5.62692i | −0.102735 | − | 0.994709i | ||||
\(33\) | 0.0237409 | + | 0.0282933i | 0.00413277 | + | 0.00492524i | ||||
\(34\) | −2.15439 | − | 6.96862i | −0.369476 | − | 1.19511i | ||||
\(35\) | −2.26097 | + | 0.398670i | −0.382174 | + | 0.0673876i | ||||
\(36\) | 0.455638 | + | 5.97790i | 0.0759397 | + | 0.996317i | ||||
\(37\) | 8.80926i | 1.44823i | 0.689678 | + | 0.724116i | \(0.257752\pi\) | ||||
−0.689678 | + | 0.724116i | \(0.742248\pi\) | |||||||
\(38\) | 2.81967 | + | 5.48174i | 0.457411 | + | 0.889255i | ||||
\(39\) | − | 0.0760464i | − | 0.0121772i | ||||||
\(40\) | −1.02027 | + | 1.88207i | −0.161318 | + | 0.297582i | ||||
\(41\) | −2.56508 | + | 0.452292i | −0.400598 | + | 0.0706361i | −0.370317 | − | 0.928905i | \(-0.620751\pi\) |
−0.0302802 | + | 0.999541i | \(0.509640\pi\) | |||||||
\(42\) | 0.199870 | − | 0.0617911i | 0.0308406 | − | 0.00953457i | ||||
\(43\) | 6.43028 | + | 7.66330i | 0.980608 | + | 1.16864i | 0.985675 | + | 0.168656i | \(0.0539426\pi\) |
−0.00506711 | + | 0.999987i | \(0.501613\pi\) | |||||||
\(44\) | 0.375621 | + | 1.46734i | 0.0566271 | + | 0.221210i | ||||
\(45\) | 1.13444 | − | 1.96492i | 0.169113 | − | 0.292912i | ||||
\(46\) | 2.48584 | + | 0.122476i | 0.366517 | + | 0.0180582i | ||||
\(47\) | −3.62828 | − | 9.96861i | −0.529239 | − | 1.45407i | −0.859969 | − | 0.510346i | \(-0.829517\pi\) |
0.330730 | − | 0.943725i | \(-0.392705\pi\) | |||||||
\(48\) | 0.0708070 | − | 0.181773i | 0.0102201 | − | 0.0262367i | ||||
\(49\) | 1.10029 | + | 1.90575i | 0.157184 | + | 0.272250i | ||||
\(50\) | −5.56956 | + | 2.85983i | −0.787654 | + | 0.404440i | ||||
\(51\) | 0.0436787 | − | 0.247714i | 0.00611624 | − | 0.0346869i | ||||
\(52\) | 1.34954 | − | 2.81150i | 0.187147 | − | 0.389885i | ||||
\(53\) | 5.23679 | − | 6.24096i | 0.719328 | − | 0.857262i | −0.275237 | − | 0.961376i | \(-0.588756\pi\) |
0.994565 | + | 0.104114i | \(0.0332007\pi\) | |||||||
\(54\) | −0.160436 | + | 0.381277i | −0.0218326 | + | 0.0518853i | ||||
\(55\) | 0.196052 | − | 0.538649i | 0.0264357 | − | 0.0726315i | ||||
\(56\) | 8.48591 | + | 1.26247i | 1.13398 | + | 0.168705i | ||||
\(57\) | 0.000151609 | 0.212580i | 2.00811e−5 | 0.0281570i | ||||||
\(58\) | 0.401117 | − | 0.621918i | 0.0526692 | − | 0.0816619i | ||||
\(59\) | 7.79113 | + | 2.83574i | 1.01432 | + | 0.369182i | 0.795090 | − | 0.606492i | \(-0.207424\pi\) |
0.219228 | + | 0.975674i | \(0.429646\pi\) | |||||||
\(60\) | −0.0609454 | + | 0.0416656i | −0.00786801 | + | 0.00537901i | ||||
\(61\) | −2.83699 | − | 2.38052i | −0.363239 | − | 0.304794i | 0.442841 | − | 0.896600i | \(-0.353971\pi\) |
−0.806080 | + | 0.591806i | \(0.798415\pi\) | |||||||
\(62\) | −10.1013 | + | 1.27239i | −1.28287 | + | 0.161594i | ||||
\(63\) | −8.95438 | − | 1.57890i | −1.12815 | − | 0.198923i | ||||
\(64\) | 5.84358 | − | 5.46375i | 0.730448 | − | 0.682968i | ||||
\(65\) | −1.02211 | + | 0.590117i | −0.126778 | + | 0.0731951i | ||||
\(66\) | −0.0115905 | + | 0.0509309i | −0.00142669 | + | 0.00626915i | ||||
\(67\) | 8.84545 | − | 3.21948i | 1.08064 | − | 0.393322i | 0.260497 | − | 0.965475i | \(-0.416114\pi\) |
0.820147 | + | 0.572152i | \(0.193891\pi\) | |||||||
\(68\) | 6.01084 | − | 8.38307i | 0.728921 | − | 1.01660i | ||||
\(69\) | 0.0743296 | + | 0.0429142i | 0.00894823 | + | 0.00516627i | ||||
\(70\) | −2.38150 | − | 2.20689i | −0.284643 | − | 0.263773i | ||||
\(71\) | −6.90158 | + | 5.79111i | −0.819067 | + | 0.687279i | −0.952753 | − | 0.303745i | \(-0.901763\pi\) |
0.133687 | + | 0.991024i | \(0.457318\pi\) | |||||||
\(72\) | −6.34633 | + | 5.62227i | −0.747922 | + | 0.662591i | ||||
\(73\) | −1.69979 | − | 9.64000i | −0.198946 | − | 1.12828i | −0.906687 | − | 0.421805i | \(-0.861397\pi\) |
0.707741 | − | 0.706472i | \(-0.249714\pi\) | |||||||
\(74\) | −9.92602 | + | 7.52862i | −1.15388 | + | 0.875184i | ||||
\(75\) | −0.215907 | −0.0249308 | ||||||||
\(76\) | −3.76690 | + | 7.86196i | −0.432093 | + | 0.901829i | ||||
\(77\) | −2.29716 | −0.261786 | ||||||||
\(78\) | 0.0856869 | − | 0.0649912i | 0.00970213 | − | 0.00735880i | ||||
\(79\) | −2.62972 | − | 14.9139i | −0.295866 | − | 1.67794i | −0.663660 | − | 0.748034i | \(-0.730998\pi\) |
0.367794 | − | 0.929907i | \(-0.380113\pi\) | |||||||
\(80\) | −2.99261 | + | 0.458861i | −0.334584 | + | 0.0513023i | ||||
\(81\) | 6.87801 | − | 5.77133i | 0.764223 | − | 0.641259i | ||||
\(82\) | −2.70181 | − | 2.50371i | −0.298365 | − | 0.276489i | ||||
\(83\) | −10.6616 | − | 6.15546i | −1.17026 | − | 0.675650i | −0.216519 | − | 0.976279i | \(-0.569470\pi\) |
−0.953741 | + | 0.300629i | \(0.902803\pi\) | |||||||
\(84\) | 0.240438 | + | 0.172399i | 0.0262340 | + | 0.0188103i | ||||
\(85\) | −3.66839 | + | 1.33518i | −0.397893 | + | 0.144821i | ||||
\(86\) | −3.13931 | + | 13.7947i | −0.338521 | + | 1.48752i | ||||
\(87\) | 0.0221016 | − | 0.0127604i | 0.00236954 | − | 0.00136806i | ||||
\(88\) | −1.33234 | + | 1.67727i | −0.142028 | + | 0.178797i | ||||
\(89\) | 13.0613 | + | 2.30306i | 1.38450 | + | 0.244124i | 0.815757 | − | 0.578394i | \(-0.196321\pi\) |
0.568739 | + | 0.822518i | \(0.307432\pi\) | |||||||
\(90\) | 3.18354 | − | 0.401008i | 0.335574 | − | 0.0422699i | ||||
\(91\) | 3.62321 | + | 3.04023i | 0.379816 | + | 0.318703i | ||||
\(92\) | 1.98646 | + | 2.90565i | 0.207103 | + | 0.302935i | ||||
\(93\) | −0.329923 | − | 0.120082i | −0.0342115 | − | 0.0124520i | ||||
\(94\) | 8.13153 | − | 12.6077i | 0.838703 | − | 1.30038i | ||||
\(95\) | 2.85604 | − | 1.65165i | 0.293024 | − | 0.169456i | ||||
\(96\) | 0.265330 | − | 0.0755648i | 0.0270802 | − | 0.00771230i | ||||
\(97\) | −1.74814 | + | 4.80298i | −0.177497 | + | 0.487669i | −0.996254 | − | 0.0864706i | \(-0.972441\pi\) |
0.818757 | + | 0.574140i | \(0.194663\pi\) | |||||||
\(98\) | −1.20701 | + | 2.86848i | −0.121927 | + | 0.289760i | ||||
\(99\) | 1.45925 | − | 1.73906i | 0.146660 | − | 0.174782i | ||||
\(100\) | −7.98226 | − | 3.83154i | −0.798226 | − | 0.383154i | ||||
\(101\) | 1.38063 | − | 7.82996i | 0.137378 | − | 0.779110i | −0.835796 | − | 0.549040i | \(-0.814993\pi\) |
0.973174 | − | 0.230070i | \(-0.0738955\pi\) | |||||||
\(102\) | 0.316446 | − | 0.162487i | 0.0313329 | − | 0.0160886i | ||||
\(103\) | 3.24938 | + | 5.62810i | 0.320171 | + | 0.554553i | 0.980523 | − | 0.196403i | \(-0.0629262\pi\) |
−0.660352 | + | 0.750956i | \(0.729593\pi\) | |||||||
\(104\) | 4.32127 | − | 0.882158i | 0.423735 | − | 0.0865027i | ||||
\(105\) | −0.0382950 | − | 0.105215i | −0.00373721 | − | 0.0102679i | ||||
\(106\) | 11.5076 | + | 0.566977i | 1.11772 | + | 0.0550697i | ||||
\(107\) | −6.67434 | + | 11.5603i | −0.645233 | + | 1.11758i | 0.339015 | + | 0.940781i | \(0.389906\pi\) |
−0.984248 | + | 0.176795i | \(0.943427\pi\) | |||||||
\(108\) | −0.566725 | + | 0.145075i | −0.0545332 | + | 0.0139598i | ||||
\(109\) | 7.71028 | + | 9.18876i | 0.738511 | + | 0.880124i | 0.996288 | − | 0.0860809i | \(-0.0274344\pi\) |
−0.257777 | + | 0.966204i | \(0.582990\pi\) | |||||||
\(110\) | 0.774486 | − | 0.239438i | 0.0738444 | − | 0.0228295i | ||||
\(111\) | −0.423094 | + | 0.0746029i | −0.0401583 | + | 0.00708100i | ||||
\(112\) | 5.82976 | + | 10.6406i | 0.550861 | + | 1.00545i | ||||
\(113\) | 0.773048i | 0.0727222i | 0.999339 | + | 0.0363611i | \(0.0115766\pi\) | ||||
−0.999339 | + | 0.0363611i | \(0.988423\pi\) | |||||||
\(114\) | −0.239400 | + | 0.181848i | −0.0224219 | + | 0.0170316i | ||||
\(115\) | − | 1.33205i | − | 0.124214i | ||||||
\(116\) | 1.04356 | − | 0.0795409i | 0.0968926 | − | 0.00738519i | ||||
\(117\) | −4.60320 | + | 0.811669i | −0.425566 | + | 0.0750388i | ||||
\(118\) | 3.46327 | + | 11.2023i | 0.318820 | + | 1.03126i | ||||
\(119\) | 10.0561 | + | 11.9844i | 0.921838 | + | 1.09860i | ||||
\(120\) | −0.0990332 | − | 0.0330630i | −0.00904045 | − | 0.00301822i | ||||
\(121\) | −5.21323 | + | 9.02957i | −0.473930 | + | 0.820870i | ||||
\(122\) | 0.257734 | − | 5.23109i | 0.0233341 | − | 0.473601i | ||||
\(123\) | −0.0434457 | − | 0.119366i | −0.00391737 | − | 0.0107629i | ||||
\(124\) | −10.0665 | − | 10.2944i | −0.904002 | − | 0.924469i | ||||
\(125\) | 3.56767 | + | 6.17939i | 0.319102 | + | 0.552701i | ||||
\(126\) | −5.87359 | − | 11.4389i | −0.523261 | − | 1.01906i | ||||
\(127\) | −0.599259 | + | 3.39856i | −0.0531756 | + | 0.301574i | −0.999783 | − | 0.0208137i | \(-0.993374\pi\) |
0.946608 | + | 0.322388i | \(0.104485\pi\) | |||||||
\(128\) | 11.1505 | + | 1.91493i | 0.985572 | + | 0.169257i | ||||
\(129\) | −0.313600 | + | 0.373734i | −0.0276109 | + | 0.0329054i | ||||
\(130\) | −1.53845 | − | 0.647359i | −0.134931 | − | 0.0567771i | ||||
\(131\) | 5.11120 | − | 14.0429i | 0.446568 | − | 1.22694i | −0.488530 | − | 0.872547i | \(-0.662467\pi\) |
0.935098 | − | 0.354389i | \(-0.115311\pi\) | |||||||
\(132\) | −0.0672930 | + | 0.0304670i | −0.00585710 | + | 0.00265181i | ||||
\(133\) | −10.1344 | − | 8.49146i | −0.878764 | − | 0.736303i | ||||
\(134\) | 11.1872 | + | 7.21535i | 0.966425 | + | 0.623312i | ||||
\(135\) | 0.208040 | + | 0.0757205i | 0.0179053 | + | 0.00651698i | ||||
\(136\) | 14.5828 | − | 0.391547i | 1.25047 | − | 0.0335749i | ||||
\(137\) | −4.04425 | − | 3.39353i | −0.345524 | − | 0.289929i | 0.453466 | − | 0.891274i | \(-0.350187\pi\) |
−0.798990 | + | 0.601345i | \(0.794632\pi\) | |||||||
\(138\) | 0.0151695 | + | 0.120428i | 0.00129131 | + | 0.0102515i | ||||
\(139\) | −2.03176 | − | 0.358254i | −0.172332 | − | 0.0303867i | 0.0868164 | − | 0.996224i | \(-0.472331\pi\) |
−0.259148 | + | 0.965838i | \(0.583442\pi\) | |||||||
\(140\) | 0.451367 | − | 4.56946i | 0.0381475 | − | 0.386190i | ||||
\(141\) | 0.448050 | − | 0.258682i | 0.0377326 | − | 0.0217849i | ||||
\(142\) | −12.4235 | − | 2.82727i | −1.04256 | − | 0.237259i | ||||
\(143\) | −1.10969 | + | 0.403894i | −0.0927970 | + | 0.0337753i | ||||
\(144\) | −11.7588 | − | 2.34593i | −0.979896 | − | 0.195494i | ||||
\(145\) | −0.343016 | − | 0.198040i | −0.0284859 | − | 0.0164464i | ||||
\(146\) | 9.40939 | − | 10.1539i | 0.778727 | − | 0.840341i | ||||
\(147\) | −0.0822122 | + | 0.0689842i | −0.00678074 | + | 0.00568972i | ||||
\(148\) | −16.9661 | − | 4.75021i | −1.39460 | − | 0.390464i | ||||
\(149\) | 2.62167 | + | 14.8682i | 0.214776 | + | 1.21805i | 0.881295 | + | 0.472566i | \(0.156672\pi\) |
−0.666520 | + | 0.745487i | \(0.732217\pi\) | |||||||
\(150\) | −0.184520 | − | 0.243278i | −0.0150660 | − | 0.0198635i | ||||
\(151\) | −6.29994 | −0.512682 | −0.256341 | − | 0.966586i | \(-0.582517\pi\) | ||||
−0.256341 | + | 0.966586i | \(0.582517\pi\) | |||||||
\(152\) | −12.0779 | + | 2.47460i | −0.979649 | + | 0.200717i | ||||
\(153\) | −15.4607 | −1.24993 | ||||||||
\(154\) | −1.96321 | − | 2.58838i | −0.158200 | − | 0.208577i | ||||
\(155\) | 0.946210 | + | 5.36622i | 0.0760014 | + | 0.431026i | ||||
\(156\) | 0.146460 | + | 0.0410064i | 0.0117262 | + | 0.00328314i | ||||
\(157\) | −0.586898 | + | 0.492466i | −0.0468395 | + | 0.0393030i | −0.665907 | − | 0.746035i | \(-0.731955\pi\) |
0.619067 | + | 0.785338i | \(0.287511\pi\) | |||||||
\(158\) | 14.5571 | − | 15.7089i | 1.15810 | − | 1.24973i | ||||
\(159\) | 0.344092 | + | 0.198662i | 0.0272883 | + | 0.0157549i | ||||
\(160\) | −3.07459 | − | 2.97983i | −0.243068 | − | 0.235577i | ||||
\(161\) | −5.01624 | + | 1.82576i | −0.395335 | + | 0.143890i | ||||
\(162\) | 12.3811 | + | 2.81761i | 0.972751 | + | 0.221372i | ||||
\(163\) | −10.9317 | + | 6.31140i | −0.856234 | + | 0.494347i | −0.862749 | − | 0.505632i | \(-0.831259\pi\) |
0.00651568 | + | 0.999979i | \(0.497926\pi\) | |||||||
\(164\) | 0.512077 | − | 5.18406i | 0.0399865 | − | 0.404807i | ||||
\(165\) | 0.0275308 | + | 0.00485442i | 0.00214327 | + | 0.000377916i | ||||
\(166\) | −2.17586 | − | 17.2738i | −0.168879 | − | 1.34071i | ||||
\(167\) | 10.1626 | + | 8.52746i | 0.786408 | + | 0.659875i | 0.944854 | − | 0.327493i | \(-0.106204\pi\) |
−0.158446 | + | 0.987368i | \(0.550648\pi\) | |||||||
\(168\) | 0.0112301 | + | 0.418256i | 0.000866424 | + | 0.0322692i | ||||
\(169\) | −9.93120 | − | 3.61466i | −0.763938 | − | 0.278051i | ||||
\(170\) | −4.63955 | − | 2.99235i | −0.355837 | − | 0.229503i | ||||
\(171\) | 12.8662 | − | 2.27812i | 0.983903 | − | 0.174212i | ||||
\(172\) | −18.2264 | + | 8.25203i | −1.38975 | + | 0.629211i | ||||
\(173\) | 3.89414 | − | 10.6990i | 0.296066 | − | 0.813434i | −0.699082 | − | 0.715041i | \(-0.746408\pi\) |
0.995148 | − | 0.0983922i | \(-0.0313700\pi\) | |||||||
\(174\) | 0.0332667 | + | 0.0139981i | 0.00252194 | + | 0.00106120i | ||||
\(175\) | 8.63167 | − | 10.2868i | 0.652493 | − | 0.777611i | ||||
\(176\) | −3.02855 | − | 0.0678097i | −0.228286 | − | 0.00511135i | ||||
\(177\) | −0.0702152 | + | 0.398210i | −0.00527770 | + | 0.0299313i | ||||
\(178\) | 8.56751 | + | 16.6854i | 0.642162 | + | 1.25062i | ||||
\(179\) | −3.55631 | − | 6.15972i | −0.265811 | − | 0.460399i | 0.701964 | − | 0.712212i | \(-0.252307\pi\) |
−0.967776 | + | 0.251813i | \(0.918973\pi\) | |||||||
\(180\) | 3.17258 | + | 3.24441i | 0.236470 | + | 0.241824i | ||||
\(181\) | −3.43948 | − | 9.44990i | −0.255655 | − | 0.702405i | −0.999423 | − | 0.0339678i | \(-0.989186\pi\) |
0.743768 | − | 0.668438i | \(-0.233037\pi\) | |||||||
\(182\) | −0.329160 | + | 6.68079i | −0.0243990 | + | 0.495213i | ||||
\(183\) | 0.0903068 | − | 0.156416i | 0.00667567 | − | 0.0115626i | ||||
\(184\) | −1.57632 | + | 4.72153i | −0.116208 | + | 0.348076i | ||||
\(185\) | 4.28591 | + | 5.10775i | 0.315106 | + | 0.375529i | ||||
\(186\) | −0.146656 | − | 0.474374i | −0.0107533 | − | 0.0347828i | ||||
\(187\) | −3.84670 | + | 0.678278i | −0.281299 | + | 0.0496006i | ||||
\(188\) | 21.1554 | − | 1.61247i | 1.54292 | − | 0.117602i | ||||
\(189\) | − | 0.887223i | − | 0.0645360i | ||||||
\(190\) | 4.30189 | + | 1.80656i | 0.312092 | + | 0.131062i | ||||
\(191\) | − | 8.64923i | − | 0.625836i | −0.949780 | − | 0.312918i | \(-0.898693\pi\) | ||
0.949780 | − | 0.312918i | \(-0.101307\pi\) | |||||||
\(192\) | 0.311902 | + | 0.234387i | 0.0225096 | + | 0.0169154i | ||||
\(193\) | 14.2454 | − | 2.51184i | 1.02540 | − | 0.180806i | 0.364442 | − | 0.931226i | \(-0.381260\pi\) |
0.660962 | + | 0.750420i | \(0.270149\pi\) | |||||||
\(194\) | −6.90587 | + | 2.13500i | −0.495813 | + | 0.153284i | ||||
\(195\) | −0.0369983 | − | 0.0440929i | −0.00264951 | − | 0.00315756i | ||||
\(196\) | −4.26366 | + | 1.09145i | −0.304547 | + | 0.0779604i | ||||
\(197\) | −1.14351 | + | 1.98061i | −0.0814716 | + | 0.141113i | −0.903882 | − | 0.427781i | \(-0.859295\pi\) |
0.822411 | + | 0.568894i | \(0.192629\pi\) | |||||||
\(198\) | 3.20663 | + | 0.157990i | 0.227886 | + | 0.0112278i | ||||
\(199\) | 2.83294 | + | 7.78345i | 0.200822 | + | 0.551754i | 0.998695 | − | 0.0510715i | \(-0.0162636\pi\) |
−0.797873 | + | 0.602826i | \(0.794041\pi\) | |||||||
\(200\) | −2.50458 | − | 12.2687i | −0.177100 | − | 0.867529i | ||||
\(201\) | 0.229536 | + | 0.397568i | 0.0161902 | + | 0.0280423i | ||||
\(202\) | 10.0025 | − | 5.13603i | 0.703773 | − | 0.361370i | ||||
\(203\) | −0.275629 | + | 1.56317i | −0.0193454 | + | 0.109713i | ||||
\(204\) | 0.453529 | + | 0.217697i | 0.0317534 | + | 0.0152418i | ||||
\(205\) | −1.26722 | + | 1.51022i | −0.0885066 | + | 0.105478i | ||||
\(206\) | −3.56457 | + | 8.47123i | −0.248356 | + | 0.590219i | ||||
\(207\) | 1.80432 | − | 4.95733i | 0.125409 | − | 0.344558i | ||||
\(208\) | 4.68706 | + | 4.11517i | 0.324989 | + | 0.285335i | ||||
\(209\) | 3.10123 | − | 1.13126i | 0.214516 | − | 0.0782509i | ||||
\(210\) | 0.0858249 | − | 0.133069i | 0.00592248 | − | 0.00918262i | ||||
\(211\) | −13.0032 | − | 4.73277i | −0.895175 | − | 0.325817i | −0.146857 | − | 0.989158i | \(-0.546916\pi\) |
−0.748318 | + | 0.663341i | \(0.769138\pi\) | |||||||
\(212\) | 9.19587 | + | 13.4510i | 0.631575 | + | 0.923821i | ||||
\(213\) | −0.336585 | − | 0.282428i | −0.0230624 | − | 0.0193517i | ||||
\(214\) | −18.7299 | + | 2.35927i | −1.28035 | + | 0.161277i | ||||
\(215\) | 7.45676 | + | 1.31483i | 0.508547 | + | 0.0896705i | ||||
\(216\) | −0.647804 | − | 0.514585i | −0.0440775 | − | 0.0350131i | ||||
\(217\) | 18.9112 | − | 10.9184i | 1.28378 | − | 0.741188i | ||||
\(218\) | −3.76422 | + | 16.5407i | −0.254945 | + | 1.12028i | ||||
\(219\) | 0.448599 | − | 0.163277i | 0.0303135 | − | 0.0110332i | ||||
\(220\) | 0.931688 | + | 0.668040i | 0.0628144 | + | 0.0450392i | ||||
\(221\) | 6.96492 | + | 4.02120i | 0.468511 | + | 0.270495i | ||||
\(222\) | −0.445648 | − | 0.412973i | −0.0299099 | − | 0.0277169i | ||||
\(223\) | −7.16674 | + | 6.01361i | −0.479921 | + | 0.402701i | −0.850398 | − | 0.526140i | \(-0.823639\pi\) |
0.370477 | + | 0.928842i | \(0.379194\pi\) | |||||||
\(224\) | −7.00729 | + | 15.6626i | −0.468194 | + | 1.04650i | ||||
\(225\) | 2.30445 | + | 13.0692i | 0.153630 | + | 0.871279i | ||||
\(226\) | −0.871048 | + | 0.660667i | −0.0579413 | + | 0.0439469i | ||||
\(227\) | −28.0188 | −1.85967 | −0.929837 | − | 0.367972i | \(-0.880052\pi\) | ||||
−0.929837 | + | 0.367972i | \(0.880052\pi\) | |||||||
\(228\) | −0.409498 | − | 0.114337i | −0.0271197 | − | 0.00757218i | ||||
\(229\) | 21.2119 | 1.40172 | 0.700861 | − | 0.713298i | \(-0.252799\pi\) | ||||
0.700861 | + | 0.713298i | \(0.252799\pi\) | |||||||
\(230\) | 1.50092 | − | 1.13841i | 0.0989676 | − | 0.0750643i | ||||
\(231\) | −0.0194540 | − | 0.110329i | −0.00127998 | − | 0.00725911i | ||||
\(232\) | 0.981482 | + | 1.10788i | 0.0644375 | + | 0.0727360i | ||||
\(233\) | 7.85528 | − | 6.59136i | 0.514617 | − | 0.431815i | −0.348134 | − | 0.937445i | \(-0.613184\pi\) |
0.862750 | + | 0.505630i | \(0.168740\pi\) | |||||||
\(234\) | −4.84858 | − | 4.49309i | −0.316962 | − | 0.293722i | ||||
\(235\) | −6.95370 | − | 4.01472i | −0.453609 | − | 0.261891i | ||||
\(236\) | −9.66265 | + | 13.4761i | −0.628985 | + | 0.877220i | ||||
\(237\) | 0.694019 | − | 0.252602i | 0.0450814 | − | 0.0164083i | ||||
\(238\) | −4.90945 | + | 21.5730i | −0.318233 | + | 1.39837i | ||||
\(239\) | 3.59307 | − | 2.07446i | 0.232416 | − | 0.134186i | −0.379270 | − | 0.925286i | \(-0.623825\pi\) |
0.611686 | + | 0.791100i | \(0.290491\pi\) | |||||||
\(240\) | −0.0473819 | − | 0.139844i | −0.00305849 | − | 0.00902691i | ||||
\(241\) | −7.29483 | − | 1.28628i | −0.469902 | − | 0.0828563i | −0.0663169 | − | 0.997799i | \(-0.521125\pi\) |
−0.403585 | + | 0.914942i | \(0.632236\pi\) | |||||||
\(242\) | −14.6296 | + | 1.84279i | −0.940428 | + | 0.118459i | ||||
\(243\) | 1.00764 | + | 0.845509i | 0.0646401 | + | 0.0542395i | ||||
\(244\) | 6.11451 | − | 4.18022i | 0.391442 | − | 0.267611i | ||||
\(245\) | 1.56516 | + | 0.569670i | 0.0999942 | + | 0.0363949i | ||||
\(246\) | 0.0973685 | − | 0.150967i | 0.00620799 | − | 0.00962529i | ||||
\(247\) | −6.38862 | − | 2.32011i | −0.406498 | − | 0.147625i | ||||
\(248\) | 2.99637 | − | 20.1406i | 0.190270 | − | 1.27893i | ||||
\(249\) | 0.205347 | − | 0.564187i | 0.0130133 | − | 0.0357539i | ||||
\(250\) | −3.91373 | + | 9.30102i | −0.247526 | + | 0.588248i | ||||
\(251\) | −5.06780 | + | 6.03957i | −0.319877 | + | 0.381214i | −0.901891 | − | 0.431965i | \(-0.857821\pi\) |
0.582014 | + | 0.813179i | \(0.302265\pi\) | |||||||
\(252\) | 7.86932 | − | 16.3942i | 0.495721 | − | 1.03274i | ||||
\(253\) | 0.231440 | − | 1.31256i | 0.0145505 | − | 0.0825202i | ||||
\(254\) | −4.34155 | + | 2.22927i | −0.272413 | + | 0.139877i | ||||
\(255\) | −0.0951932 | − | 0.164879i | −0.00596123 | − | 0.0103252i | ||||
\(256\) | 7.37180 | + | 14.2006i | 0.460738 | + | 0.887536i | ||||
\(257\) | −2.87499 | − | 7.89897i | −0.179337 | − | 0.492724i | 0.817154 | − | 0.576419i | \(-0.195550\pi\) |
−0.996491 | + | 0.0836944i | \(0.973328\pi\) | |||||||
\(258\) | −0.689123 | − | 0.0339529i | −0.0429030 | − | 0.00211381i | ||||
\(259\) | 13.3603 | − | 23.1407i | 0.830170 | − | 1.43790i | ||||
\(260\) | −0.585376 | − | 2.28673i | −0.0363035 | − | 0.141817i | ||||
\(261\) | −1.00830 | − | 1.20165i | −0.0624125 | − | 0.0743803i | ||||
\(262\) | 20.1913 | − | 6.24228i | 1.24742 | − | 0.385650i | ||||
\(263\) | 22.8569 | − | 4.03030i | 1.40942 | − | 0.248519i | 0.583411 | − | 0.812177i | \(-0.301718\pi\) |
0.826008 | + | 0.563658i | \(0.190607\pi\) | |||||||
\(264\) | −0.0918397 | − | 0.0497860i | −0.00565234 | − | 0.00306412i | ||||
\(265\) | − | 6.16643i | − | 0.378801i | ||||||
\(266\) | 0.906817 | − | 18.6762i | 0.0556005 | − | 1.14511i | ||||
\(267\) | 0.646817i | 0.0395846i | ||||||||
\(268\) | 1.43080 | + | 18.7718i | 0.0873997 | + | 1.14667i | ||||
\(269\) | −22.6141 | + | 3.98747i | −1.37880 | + | 0.243120i | −0.813405 | − | 0.581698i | \(-0.802389\pi\) |
−0.565398 | + | 0.824818i | \(0.691277\pi\) | |||||||
\(270\) | 0.0924770 | + | 0.299127i | 0.00562797 | + | 0.0182043i | ||||
\(271\) | −1.64574 | − | 1.96132i | −0.0999715 | − | 0.119141i | 0.713739 | − | 0.700412i | \(-0.247000\pi\) |
−0.813710 | + | 0.581270i | \(0.802556\pi\) | |||||||
\(272\) | 12.9040 | + | 16.0969i | 0.782423 | + | 0.976017i | ||||
\(273\) | −0.115334 | + | 0.199764i | −0.00698031 | + | 0.0120902i | ||||
\(274\) | 0.367411 | − | 7.45715i | 0.0221961 | − | 0.450503i | ||||
\(275\) | 1.14672 | + | 3.15058i | 0.0691496 | + | 0.189987i | ||||
\(276\) | −0.122731 | + | 0.120014i | −0.00738752 | + | 0.00722397i | ||||
\(277\) | 0.506680 | + | 0.877596i | 0.0304435 | + | 0.0527296i | 0.880846 | − | 0.473403i | \(-0.156975\pi\) |
−0.850402 | + | 0.526133i | \(0.823641\pi\) | |||||||
\(278\) | −1.33273 | − | 2.59550i | −0.0799315 | − | 0.155668i | ||||
\(279\) | −3.74738 | + | 21.2525i | −0.224350 | + | 1.27235i | ||||
\(280\) | 5.53449 | − | 3.39659i | 0.330749 | − | 0.202985i | ||||
\(281\) | −0.958866 | + | 1.14273i | −0.0572011 | + | 0.0681697i | −0.793886 | − | 0.608066i | \(-0.791946\pi\) |
0.736685 | + | 0.676236i | \(0.236390\pi\) | |||||||
\(282\) | 0.674390 | + | 0.283774i | 0.0401593 | + | 0.0168985i | ||||
\(283\) | 0.620886 | − | 1.70587i | 0.0369078 | − | 0.101403i | −0.919870 | − | 0.392224i | \(-0.871706\pi\) |
0.956778 | + | 0.290820i | \(0.0939282\pi\) | |||||||
\(284\) | −7.43179 | − | 16.4147i | −0.440995 | − | 0.974036i | ||||
\(285\) | 0.103513 | + | 0.123184i | 0.00613160 | + | 0.00729678i | ||||
\(286\) | −1.40347 | − | 0.905189i | −0.0829887 | − | 0.0535250i | ||||
\(287\) | 7.42407 | + | 2.70214i | 0.438229 | + | 0.159502i | ||||
\(288\) | −7.40601 | − | 15.2543i | −0.436404 | − | 0.898870i | ||||
\(289\) | 7.35519 | + | 6.17174i | 0.432658 | + | 0.363043i | ||||
\(290\) | −0.0700041 | − | 0.555751i | −0.00411078 | − | 0.0326348i | ||||
\(291\) | −0.245484 | − | 0.0432854i | −0.0143905 | − | 0.00253744i | ||||
\(292\) | 19.4826 | + | 1.92447i | 1.14013 | + | 0.112621i | ||||
\(293\) | −22.4015 | + | 12.9335i | −1.30871 | + | 0.755585i | −0.981881 | − | 0.189498i | \(-0.939314\pi\) |
−0.326831 | + | 0.945083i | \(0.605981\pi\) | |||||||
\(294\) | −0.147990 | − | 0.0336786i | −0.00863096 | − | 0.00196418i | ||||
\(295\) | 5.89707 | − | 2.14636i | 0.343341 | − | 0.124966i | ||||
\(296\) | −9.14725 | − | 23.1765i | −0.531673 | − | 1.34711i | ||||
\(297\) | 0.191840 | + | 0.110759i | 0.0111317 | + | 0.00642690i | ||||
\(298\) | −14.5126 | + | 15.6608i | −0.840690 | + | 0.907206i | ||||
\(299\) | −2.10218 | + | 1.76394i | −0.121572 | + | 0.102011i | ||||
\(300\) | 0.116423 | − | 0.415823i | 0.00672170 | − | 0.0240076i | ||||
\(301\) | −5.26914 | − | 29.8828i | −0.303708 | − | 1.72241i | ||||
\(302\) | −5.38409 | − | 7.09860i | −0.309820 | − | 0.408478i | ||||
\(303\) | 0.387752 | 0.0222758 | ||||||||
\(304\) | −13.1104 | − | 11.4942i | −0.751934 | − | 0.659238i | ||||
\(305\) | −2.80311 | −0.160506 | ||||||||
\(306\) | −13.2131 | − | 17.4207i | −0.755345 | − | 0.995876i | ||||
\(307\) | −0.350833 | − | 1.98967i | −0.0200231 | − | 0.113557i | 0.973158 | − | 0.230138i | \(-0.0739177\pi\) |
−0.993181 | + | 0.116581i | \(0.962807\pi\) | |||||||
\(308\) | 1.23870 | − | 4.42419i | 0.0705812 | − | 0.252091i | ||||
\(309\) | −0.242790 | + | 0.203725i | −0.0138119 | + | 0.0115895i | ||||
\(310\) | −5.23785 | + | 5.65228i | −0.297490 | + | 0.321028i | ||||
\(311\) | 23.8648 | + | 13.7783i | 1.35325 | + | 0.781298i | 0.988703 | − | 0.149887i | \(-0.0478911\pi\) |
0.364545 | + | 0.931186i | \(0.381224\pi\) | |||||||
\(312\) | 0.0789641 | + | 0.200073i | 0.00447046 | + | 0.0113269i | ||||
\(313\) | −15.2863 | + | 5.56377i | −0.864034 | + | 0.314483i | −0.735749 | − | 0.677255i | \(-0.763170\pi\) |
−0.128285 | + | 0.991737i | \(0.540947\pi\) | |||||||
\(314\) | −1.05647 | − | 0.240426i | −0.0596203 | − | 0.0135680i | ||||
\(315\) | −5.96007 | + | 3.44105i | −0.335812 | + | 0.193881i | ||||
\(316\) | 30.1412 | + | 2.97732i | 1.69557 | + | 0.167487i | ||||
\(317\) | −3.12323 | − | 0.550709i | −0.175418 | − | 0.0309309i | 0.0852491 | − | 0.996360i | \(-0.472831\pi\) |
−0.260667 | + | 0.965429i | \(0.583942\pi\) | |||||||
\(318\) | 0.0702237 | + | 0.557495i | 0.00393795 | + | 0.0312628i | ||||
\(319\) | −0.303588 | − | 0.254741i | −0.0169977 | − | 0.0142628i | ||||
\(320\) | 0.729964 | − | 6.01101i | 0.0408062 | − | 0.336026i | ||||
\(321\) | −0.611745 | − | 0.222657i | −0.0341443 | − | 0.0124275i | ||||
\(322\) | −6.34422 | − | 4.09181i | −0.353550 | − | 0.228028i | ||||
\(323\) | −19.4778 | − | 11.2270i | −1.08377 | − | 0.624686i | ||||
\(324\) | 7.40640 | + | 16.3587i | 0.411467 | + | 0.908815i | ||||
\(325\) | 2.36104 | − | 6.48691i | 0.130967 | − | 0.359829i | ||||
\(326\) | −16.4540 | − | 6.92360i | −0.911302 | − | 0.383463i | ||||
\(327\) | −0.376025 | + | 0.448129i | −0.0207942 | + | 0.0247816i | ||||
\(328\) | 6.27889 | − | 3.85344i | 0.346694 | − | 0.212771i | ||||
\(329\) | −5.58762 | + | 31.6889i | −0.308055 | + | 1.74707i | ||||
\(330\) | 0.0180587 | + | 0.0351696i | 0.000994098 | + | 0.00193602i | ||||
\(331\) | 0.852024 | + | 1.47575i | 0.0468315 | + | 0.0811145i | 0.888491 | − | 0.458894i | \(-0.151754\pi\) |
−0.841659 | + | 0.540009i | \(0.818421\pi\) | |||||||
\(332\) | 17.6041 | − | 17.2143i | 0.966148 | − | 0.944758i | ||||
\(333\) | 9.03166 | + | 24.8143i | 0.494932 | + | 1.35981i | ||||
\(334\) | −0.923252 | + | 18.7388i | −0.0505181 | + | 1.02534i | ||||
\(335\) | 3.56238 | − | 6.17023i | 0.194634 | − | 0.337116i | ||||
\(336\) | −0.461682 | + | 0.370106i | −0.0251868 | + | 0.0201910i | ||||
\(337\) | −7.69079 | − | 9.16552i | −0.418944 | − | 0.499278i | 0.514755 | − | 0.857337i | \(-0.327883\pi\) |
−0.933699 | + | 0.358060i | \(0.883438\pi\) | |||||||
\(338\) | −4.41456 | − | 14.2794i | −0.240121 | − | 0.776695i | ||||
\(339\) | −0.0371282 | + | 0.00654671i | −0.00201653 | + | 0.000355568i | ||||
\(340\) | −0.593380 | − | 7.78506i | −0.0321805 | − | 0.422204i | ||||
\(341\) | 5.45211i | 0.295249i | ||||||||
\(342\) | 13.5627 | + | 12.5503i | 0.733387 | + | 0.678644i | ||||
\(343\) | 14.5578i | 0.786049i | ||||||||
\(344\) | −24.8749 | − | 13.4846i | −1.34117 | − | 0.727042i | ||||
\(345\) | 0.0639763 | − | 0.0112807i | 0.00344437 | − | 0.000607335i | ||||
\(346\) | 15.3834 | − | 4.75588i | 0.827018 | − | 0.255678i | ||||
\(347\) | −3.49270 | − | 4.16244i | −0.187498 | − | 0.223451i | 0.664104 | − | 0.747640i | \(-0.268813\pi\) |
−0.851602 | + | 0.524189i | \(0.824369\pi\) | |||||||
\(348\) | 0.0126579 | + | 0.0494471i | 0.000678532 | + | 0.00265064i | ||||
\(349\) | −3.58269 | + | 6.20540i | −0.191777 | + | 0.332167i | −0.945839 | − | 0.324636i | \(-0.894758\pi\) |
0.754062 | + | 0.656803i | \(0.228092\pi\) | |||||||
\(350\) | 18.9678 | + | 0.934535i | 1.01387 | + | 0.0499530i | ||||
\(351\) | −0.155994 | − | 0.428591i | −0.00832637 | − | 0.0228765i | ||||
\(352\) | −2.51187 | − | 3.47044i | −0.133883 | − | 0.184975i | ||||
\(353\) | −12.4326 | − | 21.5339i | −0.661721 | − | 1.14614i | −0.980163 | − | 0.198193i | \(-0.936493\pi\) |
0.318442 | − | 0.947942i | \(-0.396840\pi\) | |||||||
\(354\) | −0.508700 | + | 0.261204i | −0.0270371 | + | 0.0138828i | ||||
\(355\) | −1.18413 | + | 6.71556i | −0.0628473 | + | 0.356425i | ||||
\(356\) | −11.4786 | + | 23.9134i | −0.608364 | + | 1.26741i | ||||
\(357\) | −0.490427 | + | 0.584468i | −0.0259562 | + | 0.0309333i | ||||
\(358\) | 3.90128 | − | 9.27141i | 0.206189 | − | 0.490009i | ||||
\(359\) | 2.84636 | − | 7.82030i | 0.150225 | − | 0.412740i | −0.841639 | − | 0.540040i | \(-0.818409\pi\) |
0.991864 | + | 0.127301i | \(0.0406313\pi\) | |||||||
\(360\) | −0.944339 | + | 6.34752i | −0.0497710 | + | 0.334544i | ||||
\(361\) | 17.8634 | + | 6.47291i | 0.940180 | + | 0.340679i | ||||
\(362\) | 7.70841 | − | 11.9516i | 0.405145 | − | 0.628164i | ||||
\(363\) | −0.477825 | − | 0.173914i | −0.0250793 | − | 0.00912812i | ||||
\(364\) | −7.80904 | + | 5.33869i | −0.409305 | + | 0.279823i | ||||
\(365\) | −5.67566 | − | 4.76244i | −0.297077 | − | 0.249278i | ||||
\(366\) | 0.253424 | − | 0.0319220i | 0.0132467 | − | 0.00166859i | ||||
\(367\) | 5.79355 | + | 1.02156i | 0.302421 | + | 0.0533249i | 0.322799 | − | 0.946467i | \(-0.395376\pi\) |
−0.0203787 | + | 0.999792i | \(0.506487\pi\) | |||||||
\(368\) | −6.66725 | + | 2.25899i | −0.347554 | + | 0.117758i | ||||
\(369\) | −6.76170 | + | 3.90387i | −0.352000 | + | 0.203227i | ||||
\(370\) | −2.09242 | + | 9.19446i | −0.108780 | + | 0.477997i | ||||
\(371\) | −23.2215 | + | 8.45195i | −1.20560 | + | 0.438803i | ||||
\(372\) | 0.409175 | − | 0.570660i | 0.0212147 | − | 0.0295873i | ||||
\(373\) | 18.2764 | + | 10.5519i | 0.946317 | + | 0.546356i | 0.891935 | − | 0.452164i | \(-0.149348\pi\) |
0.0543820 | + | 0.998520i | \(0.482681\pi\) | |||||||
\(374\) | −4.05176 | − | 3.75468i | −0.209511 | − | 0.194150i | ||||
\(375\) | −0.266572 | + | 0.223681i | −0.0137657 | + | 0.0115508i | ||||
\(376\) | 19.8968 | + | 22.4592i | 1.02610 | + | 1.15825i | ||||
\(377\) | 0.141693 | + | 0.803583i | 0.00729758 | + | 0.0413866i | ||||
\(378\) | 0.999698 | − | 0.758244i | 0.0514189 | − | 0.0389999i | ||||
\(379\) | 12.0168 | 0.617263 | 0.308631 | − | 0.951182i | \(-0.400129\pi\) | ||||
0.308631 | + | 0.951182i | \(0.400129\pi\) | |||||||
\(380\) | 1.64092 | + | 6.39118i | 0.0841775 | + | 0.327861i | ||||
\(381\) | −0.168302 | −0.00862240 | ||||||||
\(382\) | 9.74571 | − | 7.39186i | 0.498634 | − | 0.378200i | ||||
\(383\) | 3.07265 | + | 17.4259i | 0.157005 | + | 0.890419i | 0.956930 | + | 0.290319i | \(0.0937615\pi\) |
−0.799925 | + | 0.600100i | \(0.795127\pi\) | |||||||
\(384\) | 0.00245923 | + | 0.551756i | 0.000125497 | + | 0.0281567i | ||||
\(385\) | −1.33193 | + | 1.11762i | −0.0678815 | + | 0.0569593i | ||||
\(386\) | 15.0047 | + | 13.9046i | 0.763721 | + | 0.707725i | ||||
\(387\) | 25.9699 | + | 14.9937i | 1.32012 | + | 0.762173i | ||||
\(388\) | −8.30759 | − | 5.95672i | −0.421754 | − | 0.302407i | ||||
\(389\) | 22.3252 | − | 8.12572i | 1.13193 | − | 0.411991i | 0.292940 | − | 0.956131i | \(-0.405366\pi\) |
0.838994 | + | 0.544140i | \(0.183144\pi\) | |||||||
\(390\) | 0.0180629 | − | 0.0793716i | 0.000914650 | − | 0.00401914i | ||||
\(391\) | −7.86084 | + | 4.53846i | −0.397540 | + | 0.229520i | ||||
\(392\) | −4.87365 | − | 3.87140i | −0.246156 | − | 0.195535i | ||||
\(393\) | 0.717744 | + | 0.126558i | 0.0362054 | + | 0.00638399i | ||||
\(394\) | −3.20897 | + | 0.404212i | −0.161666 | + | 0.0203639i | ||||
\(395\) | −8.78070 | − | 7.36788i | −0.441805 | − | 0.370718i | ||||
\(396\) | 2.56245 | + | 3.74817i | 0.128768 | + | 0.188352i | ||||
\(397\) | 26.0487 | + | 9.48094i | 1.30734 | + | 0.475835i | 0.899382 | − | 0.437164i | \(-0.144017\pi\) |
0.407963 | + | 0.912999i | \(0.366239\pi\) | |||||||
\(398\) | −6.34906 | + | 9.84402i | −0.318250 | + | 0.493436i | ||||
\(399\) | 0.322006 | − | 0.558650i | 0.0161205 | − | 0.0279675i | ||||
\(400\) | 11.6836 | − | 13.3072i | 0.584178 | − | 0.665362i | ||||
\(401\) | −8.35712 | + | 22.9610i | −0.417334 | + | 1.14662i | 0.535873 | + | 0.844299i | \(0.319983\pi\) |
−0.953207 | + | 0.302318i | \(0.902239\pi\) | |||||||
\(402\) | −0.251801 | + | 0.598406i | −0.0125587 | + | 0.0298458i | ||||
\(403\) | 7.21573 | − | 8.59938i | 0.359441 | − | 0.428366i | ||||
\(404\) | 14.3355 | + | 6.88115i | 0.713219 | + | 0.342350i | ||||
\(405\) | 1.18009 | − | 6.69262i | 0.0586392 | − | 0.332559i | ||||
\(406\) | −1.99690 | + | 1.02535i | −0.0991042 | + | 0.0508875i | ||||
\(407\) | 3.33575 | + | 5.77769i | 0.165347 | + | 0.286389i | ||||
\(408\) | 0.142303 | + | 0.697074i | 0.00704505 | + | 0.0345103i | ||||
\(409\) | −2.46916 | − | 6.78397i | −0.122092 | − | 0.335446i | 0.863557 | − | 0.504251i | \(-0.168231\pi\) |
−0.985649 | + | 0.168805i | \(0.946009\pi\) | |||||||
\(410\) | −2.78467 | − | 0.137200i | −0.137525 | − | 0.00677581i | ||||
\(411\) | 0.128736 | − | 0.222978i | 0.00635009 | − | 0.0109987i | ||||
\(412\) | −12.5915 | + | 3.22327i | −0.620340 | + | 0.158799i | ||||
\(413\) | −16.1655 | − | 19.2653i | −0.795453 | − | 0.947983i | ||||
\(414\) | 7.12779 | − | 2.20360i | 0.350312 | − | 0.108301i | ||||
\(415\) | −9.17653 | + | 1.61807i | −0.450458 | + | 0.0794279i | ||||
\(416\) | −0.631171 | + | 8.79817i | −0.0309457 | + | 0.431366i | ||||
\(417\) | − | 0.100616i | − | 0.00492719i | ||||||
\(418\) | 3.92506 | + | 2.52757i | 0.191981 | + | 0.123628i | ||||
\(419\) | − | 14.7450i | − | 0.720341i | −0.932887 | − | 0.360170i | \(-0.882719\pi\) | ||
0.932887 | − | 0.360170i | \(-0.117281\pi\) | |||||||
\(420\) | 0.223286 | − | 0.0170190i | 0.0108953 | − | 0.000830441i | ||||
\(421\) | −2.41752 | + | 0.426275i | −0.117823 | + | 0.0207754i | −0.232249 | − | 0.972656i | \(-0.574608\pi\) |
0.114426 | + | 0.993432i | \(0.463497\pi\) | |||||||
\(422\) | −5.78010 | − | 18.6963i | −0.281371 | − | 0.910124i | ||||
\(423\) | −20.4406 | − | 24.3601i | −0.993855 | − | 1.18443i | ||||
\(424\) | −7.29721 | + | 21.8573i | −0.354384 | + | 1.06148i | ||||
\(425\) | 11.4168 | − | 19.7744i | 0.553795 | − | 0.959201i | ||||
\(426\) | 0.0305780 | − | 0.620625i | 0.00148151 | − | 0.0300694i | ||||
\(427\) | 3.84205 | + | 10.5559i | 0.185930 | + | 0.510838i | ||||
\(428\) | −18.6654 | − | 19.0880i | −0.902227 | − | 0.922654i | ||||
\(429\) | −0.0287960 | − | 0.0498762i | −0.00139028 | − | 0.00240804i | ||||
\(430\) | 4.89123 | + | 9.52575i | 0.235876 | + | 0.459372i | ||||
\(431\) | 5.88885 | − | 33.3973i | 0.283656 | − | 1.60869i | −0.426391 | − | 0.904539i | \(-0.640215\pi\) |
0.710047 | − | 0.704154i | \(-0.248674\pi\) | |||||||
\(432\) | 0.0261899 | − | 1.16971i | 0.00126006 | − | 0.0562775i | ||||
\(433\) | 12.1460 | − | 14.4750i | 0.583698 | − | 0.695624i | −0.390684 | − | 0.920525i | \(-0.627761\pi\) |
0.974382 | + | 0.224901i | \(0.0722059\pi\) | |||||||
\(434\) | 28.4645 | + | 11.9775i | 1.36634 | + | 0.574937i | ||||
\(435\) | 0.00660666 | − | 0.0181516i | 0.000316765 | − | 0.000870305i | ||||
\(436\) | −21.8546 | + | 9.89468i | −1.04664 | + | 0.473869i | ||||
\(437\) | 5.87294 | − | 4.93512i | 0.280941 | − | 0.236079i | ||||
\(438\) | 0.567359 | + | 0.365928i | 0.0271095 | + | 0.0174847i | ||||
\(439\) | −18.3905 | − | 6.69359i | −0.877730 | − | 0.319468i | −0.136437 | − | 0.990649i | \(-0.543565\pi\) |
−0.741293 | + | 0.671181i | \(0.765787\pi\) | |||||||
\(440\) | 0.0435163 | + | 1.62072i | 0.00207456 | + | 0.0772649i | ||||
\(441\) | 5.05320 | + | 4.24014i | 0.240629 | + | 0.201911i | ||||
\(442\) | 1.42143 | + | 11.2845i | 0.0676105 | + | 0.536748i | ||||
\(443\) | 10.5778 | + | 1.86515i | 0.502567 | + | 0.0886161i | 0.419184 | − | 0.907901i | \(-0.362316\pi\) |
0.0833832 | + | 0.996518i | \(0.473427\pi\) | |||||||
\(444\) | 0.0844641 | − | 0.855081i | 0.00400849 | − | 0.0405803i | ||||
\(445\) | 8.69365 | − | 5.01928i | 0.412119 | − | 0.237937i | ||||
\(446\) | −12.9009 | − | 2.93589i | −0.610873 | − | 0.139019i | ||||
\(447\) | −0.691895 | + | 0.251829i | −0.0327255 | + | 0.0119111i | ||||
\(448\) | −23.6368 | + | 5.49002i | −1.11673 | + | 0.259379i | ||||
\(449\) | −12.5426 | − | 7.24145i | −0.591920 | − | 0.341745i | 0.173936 | − | 0.984757i | \(-0.444351\pi\) |
−0.765856 | + | 0.643012i | \(0.777685\pi\) | |||||||
\(450\) | −12.7565 | + | 13.7659i | −0.601349 | + | 0.648928i | ||||
\(451\) | −1.51108 | + | 1.26794i | −0.0711538 | + | 0.0597052i | ||||
\(452\) | −1.48884 | − | 0.416850i | −0.0700292 | − | 0.0196070i | ||||
\(453\) | −0.0533523 | − | 0.302576i | −0.00250671 | − | 0.0142163i | ||||
\(454\) | −23.9456 | − | 31.5708i | −1.12382 | − | 1.48169i | ||||
\(455\) | 3.57994 | 0.167830 | ||||||||
\(456\) | −0.221135 | − | 0.559127i | −0.0103556 | − | 0.0261835i | ||||
\(457\) | 1.91109 | 0.0893972 | 0.0446986 | − | 0.999001i | \(-0.485767\pi\) | ||||
0.0446986 | + | 0.999001i | \(0.485767\pi\) | |||||||
\(458\) | 18.1282 | + | 23.9010i | 0.847077 | + | 1.11682i | ||||
\(459\) | −0.261968 | − | 1.48570i | −0.0122276 | − | 0.0693464i | ||||
\(460\) | 2.56545 | + | 0.718281i | 0.119615 | + | 0.0334900i | ||||
\(461\) | −12.8228 | + | 10.7596i | −0.597218 | + | 0.501125i | −0.890550 | − | 0.454885i | \(-0.849680\pi\) |
0.293332 | + | 0.956011i | \(0.405236\pi\) | |||||||
\(462\) | 0.107690 | − | 0.116210i | 0.00501017 | − | 0.00540658i | ||||
\(463\) | −23.6906 | − | 13.6778i | −1.10100 | − | 0.635660i | −0.164513 | − | 0.986375i | \(-0.552605\pi\) |
−0.936482 | + | 0.350715i | \(0.885939\pi\) | |||||||
\(464\) | −0.409529 | + | 2.05273i | −0.0190119 | + | 0.0952956i | ||||
\(465\) | −0.249718 | + | 0.0908899i | −0.0115804 | + | 0.00421492i | ||||
\(466\) | 14.1403 | + | 3.21796i | 0.655036 | + | 0.149069i | ||||
\(467\) | 15.5831 | − | 8.99692i | 0.721101 | − | 0.416328i | −0.0940567 | − | 0.995567i | \(-0.529983\pi\) |
0.815158 | + | 0.579239i | \(0.196650\pi\) | |||||||
\(468\) | 0.918957 | − | 9.30316i | 0.0424788 | − | 0.430039i | ||||
\(469\) | −28.1186 | − | 4.95806i | −1.29839 | − | 0.228942i | ||||
\(470\) | −1.41914 | − | 11.2663i | −0.0654600 | − | 0.519676i | ||||
\(471\) | −0.0286226 | − | 0.0240172i | −0.00131886 | − | 0.00110665i | ||||
\(472\) | −23.4424 | + | 0.629427i | −1.07903 | + | 0.0289717i | ||||
\(473\) | 7.11921 | + | 2.59118i | 0.327342 | + | 0.119143i | ||||
\(474\) | 0.877751 | + | 0.566120i | 0.0403165 | + | 0.0260028i | ||||
\(475\) | −6.58714 | + | 18.1382i | −0.302239 | + | 0.832240i | ||||
\(476\) | −28.5036 | + | 12.9050i | −1.30646 | + | 0.591502i | ||||
\(477\) | 8.35269 | − | 22.9488i | 0.382443 | − | 1.05075i | ||||
\(478\) | 5.40817 | + | 2.27568i | 0.247364 | + | 0.104087i | ||||
\(479\) | −18.4519 | + | 21.9901i | −0.843087 | + | 1.00475i | 0.156766 | + | 0.987636i | \(0.449893\pi\) |
−0.999853 | + | 0.0171167i | \(0.994551\pi\) | |||||||
\(480\) | 0.117079 | − | 0.172903i | 0.00534389 | − | 0.00789191i | ||||
\(481\) | 2.38529 | − | 13.5277i | 0.108760 | − | 0.616808i | ||||
\(482\) | −4.78502 | − | 9.31890i | −0.217951 | − | 0.424464i | ||||
\(483\) | −0.130169 | − | 0.225460i | −0.00592291 | − | 0.0102588i | ||||
\(484\) | −14.5793 | − | 14.9094i | −0.662694 | − | 0.677698i | ||||
\(485\) | 1.32316 | + | 3.63536i | 0.0600817 | + | 0.165073i | ||||
\(486\) | −0.0915417 | + | 1.85797i | −0.00415241 | + | 0.0842794i | ||||
\(487\) | 14.1294 | − | 24.4728i | 0.640263 | − | 1.10897i | −0.345111 | − | 0.938562i | \(-0.612159\pi\) |
0.985374 | − | 0.170406i | \(-0.0545079\pi\) | |||||||
\(488\) | 9.93578 | + | 3.31714i | 0.449771 | + | 0.150160i | ||||
\(489\) | −0.395703 | − | 0.471580i | −0.0178943 | − | 0.0213256i | ||||
\(490\) | 0.695735 | + | 2.25043i | 0.0314301 | + | 0.101664i | ||||
\(491\) | −3.11289 | + | 0.548887i | −0.140483 | + | 0.0247709i | −0.243447 | − | 0.969914i | \(-0.578278\pi\) |
0.102964 | + | 0.994685i | \(0.467167\pi\) | |||||||
\(492\) | 0.253319 | − | 0.0193080i | 0.0114205 | − | 0.000870474i | ||||
\(493\) | 2.69899i | 0.121556i | ||||||||
\(494\) | −2.84565 | − | 9.18135i | −0.128032 | − | 0.413088i | ||||
\(495\) | − | 1.71829i | − | 0.0772315i | ||||||
\(496\) | 25.2546 | − | 13.8364i | 1.13397 | − | 0.621275i | ||||
\(497\) | 26.9125 | − | 4.74539i | 1.20719 | − | 0.212860i | ||||
\(498\) | 0.811205 | − | 0.250789i | 0.0363510 | − | 0.0112381i | ||||
\(499\) | −13.2403 | − | 15.7791i | −0.592715 | − | 0.706371i | 0.383410 | − | 0.923578i | \(-0.374750\pi\) |
−0.976125 | + | 0.217207i | \(0.930305\pi\) | |||||||
\(500\) | −13.8249 | + | 3.53901i | −0.618268 | + | 0.158269i | ||||
\(501\) | −0.323496 | + | 0.560311i | −0.0144527 | + | 0.0250329i | ||||
\(502\) | −11.1363 | − | 0.548681i | −0.497037 | − | 0.0244888i | ||||
\(503\) | 6.36560 | + | 17.4893i | 0.283828 | + | 0.779811i | 0.996897 | + | 0.0787173i | \(0.0250824\pi\) |
−0.713069 | + | 0.701094i | \(0.752695\pi\) | |||||||
\(504\) | 25.1978 | − | 5.14397i | 1.12240 | − | 0.229131i | ||||
\(505\) | −3.00895 | − | 5.21165i | −0.133896 | − | 0.231915i | ||||
\(506\) | 1.67675 | − | 0.860970i | 0.0745408 | − | 0.0382748i | ||||
\(507\) | 0.0895019 | − | 0.507591i | 0.00397492 | − | 0.0225429i | ||||
\(508\) | −6.22228 | − | 2.98674i | −0.276069 | − | 0.132515i | ||||
\(509\) | −20.1592 | + | 24.0248i | −0.893543 | + | 1.06488i | 0.103983 | + | 0.994579i | \(0.466841\pi\) |
−0.997526 | + | 0.0703037i | \(0.977603\pi\) | |||||||
\(510\) | 0.104427 | − | 0.248171i | 0.00462410 | − | 0.0109892i | ||||
\(511\) | −10.1551 | + | 27.9009i | −0.449236 | + | 1.23427i | ||||
\(512\) | −9.70068 | + | 20.4425i | −0.428714 | + | 0.903440i | ||||
\(513\) | 0.436922 | + | 1.19777i | 0.0192906 | + | 0.0528831i | ||||
\(514\) | 6.44330 | − | 9.99013i | 0.284202 | − | 0.440646i | ||||
\(515\) | 4.62225 | + | 1.68236i | 0.203681 | + | 0.0741336i | ||||
\(516\) | −0.550686 | − | 0.805502i | −0.0242426 | − | 0.0354602i | ||||
\(517\) | −6.15442 | − | 5.16417i | −0.270671 | − | 0.227120i | ||||
\(518\) | 37.4924 | − | 4.72266i | 1.64732 | − | 0.207502i | ||||
\(519\) | 0.546836 | + | 0.0964220i | 0.0240034 | + | 0.00423246i | ||||
\(520\) | 2.07635 | − | 2.61389i | 0.0910539 | − | 0.114627i | ||||
\(521\) | 0.219847 | − | 0.126929i | 0.00963168 | − | 0.00556085i | −0.495176 | − | 0.868792i | \(-0.664897\pi\) |
0.504808 | + | 0.863232i | \(0.331563\pi\) | |||||||
\(522\) | 0.492262 | − | 2.16309i | 0.0215457 | − | 0.0946759i | ||||
\(523\) | 16.5515 | − | 6.02425i | 0.723746 | − | 0.263422i | 0.0462307 | − | 0.998931i | \(-0.485279\pi\) |
0.677515 | + | 0.735509i | \(0.263057\pi\) | |||||||
\(524\) | 24.2897 | + | 17.4162i | 1.06110 | + | 0.760830i | ||||
\(525\) | 0.567159 | + | 0.327449i | 0.0247528 | + | 0.0142911i | ||||
\(526\) | 24.0754 | + | 22.3102i | 1.04974 | + | 0.972769i | ||||
\(527\) | 28.4438 | − | 23.8672i | 1.23903 | − | 1.03967i | ||||
\(528\) | −0.0223911 | − | 0.146031i | −0.000974448 | − | 0.00635517i | ||||
\(529\) | 3.45608 | + | 19.6004i | 0.150265 | + | 0.852193i | ||||
\(530\) | 6.94816 | − | 5.26999i | 0.301809 | − | 0.228914i | ||||
\(531\) | 24.8537 | 1.07856 | ||||||||
\(532\) | 21.8188 | − | 14.9394i | 0.945964 | − | 0.647704i | ||||
\(533\) | 4.06145 | 0.175921 | ||||||||
\(534\) | −0.728815 | + | 0.552787i | −0.0315389 | + | 0.0239214i | ||||
\(535\) | 1.75447 | + | 9.95007i | 0.0758522 | + | 0.430179i | ||||
\(536\) | −19.9288 | + | 17.6551i | −0.860791 | + | 0.762583i | ||||
\(537\) | 0.265724 | − | 0.222969i | 0.0114668 | − | 0.00962181i | ||||
\(538\) | −23.8195 | − | 22.0731i | −1.02693 | − | 0.951638i | ||||
\(539\) | 1.44328 | + | 0.833278i | 0.0621664 | + | 0.0358918i | ||||
\(540\) | −0.258014 | + | 0.359842i | −0.0111032 | + | 0.0154851i | ||||
\(541\) | 17.7401 | − | 6.45689i | 0.762709 | − | 0.277603i | 0.0687653 | − | 0.997633i | \(-0.478094\pi\) |
0.693943 | + | 0.720030i | \(0.255872\pi\) | |||||||
\(542\) | 0.803463 | − | 3.53056i | 0.0345117 | − | 0.151651i | ||||
\(543\) | 0.424735 | − | 0.245221i | 0.0182271 | − | 0.0105234i | ||||
\(544\) | −7.10938 | + | 28.2967i | −0.304812 | + | 1.21321i | ||||
\(545\) | 8.94110 | + | 1.57656i | 0.382994 | + | 0.0675323i | ||||
\(546\) | −0.323655 | + | 0.0407686i | −0.0138512 | + | 0.00174473i | ||||
\(547\) | −2.04894 | − | 1.71927i | −0.0876065 | − | 0.0735106i | 0.597933 | − | 0.801546i | \(-0.295989\pi\) |
−0.685539 | + | 0.728036i | \(0.740433\pi\) | |||||||
\(548\) | 8.71650 | − | 5.95908i | 0.372350 | − | 0.254559i | ||||
\(549\) | −10.4320 | − | 3.79693i | −0.445226 | − | 0.162049i | ||||
\(550\) | −2.56997 | + | 3.98465i | −0.109584 | + | 0.169906i | ||||
\(551\) | −0.397692 | − | 2.24606i | −0.0169423 | − | 0.0956853i | ||||
\(552\) | −0.240117 | − | 0.0357228i | −0.0102200 | − | 0.00152046i | ||||
\(553\) | −15.7108 | + | 43.1650i | −0.668091 | + | 1.83556i | ||||
\(554\) | −0.555828 | + | 1.32093i | −0.0236149 | + | 0.0561209i | ||||
\(555\) | −0.209021 | + | 0.249101i | −0.00887244 | + | 0.0105738i | ||||
\(556\) | 1.78556 | − | 3.71986i | 0.0757246 | − | 0.157757i | ||||
\(557\) | 1.36362 | − | 7.73347i | 0.0577784 | − | 0.327678i | −0.942194 | − | 0.335067i | \(-0.891241\pi\) |
0.999973 | + | 0.00738933i | \(0.00235212\pi\) | |||||||
\(558\) | −27.1493 | + | 13.9405i | −1.14932 | + | 0.590147i | ||||
\(559\) | −7.79945 | − | 13.5090i | −0.329882 | − | 0.571372i | ||||
\(560\) | 8.55711 | + | 3.33329i | 0.361604 | + | 0.140857i | ||||
\(561\) | −0.0651531 | − | 0.179007i | −0.00275077 | − | 0.00755767i | ||||
\(562\) | −2.10707 | − | 0.103815i | −0.0888814 | − | 0.00437915i | ||||
\(563\) | −9.25757 | + | 16.0346i | −0.390160 | + | 0.675777i | −0.992470 | − | 0.122485i | \(-0.960914\pi\) |
0.602310 | + | 0.798262i | \(0.294247\pi\) | |||||||
\(564\) | 0.256603 | + | 1.00240i | 0.0108049 | + | 0.0422088i | ||||
\(565\) | 0.376106 | + | 0.448225i | 0.0158229 | + | 0.0188570i | ||||
\(566\) | 2.45275 | − | 0.758284i | 0.103097 | − | 0.0318731i | ||||
\(567\) | −26.8205 | + | 4.72918i | −1.12636 | + | 0.198607i | ||||
\(568\) | 12.1443 | − | 22.4024i | 0.509562 | − | 0.939983i | ||||
\(569\) | − | 42.7241i | − | 1.79109i | −0.444972 | − | 0.895544i | \(-0.646786\pi\) | ||
0.444972 | − | 0.895544i | \(-0.353214\pi\) | |||||||
\(570\) | −0.0503349 | + | 0.221912i | −0.00210830 | + | 0.00929486i | ||||
\(571\) | 32.7962i | 1.37248i | 0.727376 | + | 0.686239i | \(0.240740\pi\) | ||||
−0.727376 | + | 0.686239i | \(0.759260\pi\) | |||||||
\(572\) | −0.179498 | − | 2.35499i | −0.00750518 | − | 0.0984669i | ||||
\(573\) | 0.415408 | − | 0.0732477i | 0.0173539 | − | 0.00305997i | ||||
\(574\) | 3.30011 | + | 10.6745i | 0.137744 | + | 0.445547i | ||||
\(575\) | 5.00809 | + | 5.96841i | 0.208852 | + | 0.248900i | ||||
\(576\) | 10.8588 | − | 21.3816i | 0.452449 | − | 0.890901i | ||||
\(577\) | −11.0125 | + | 19.0742i | −0.458457 | + | 0.794071i | −0.998880 | − | 0.0473226i | \(-0.984931\pi\) |
0.540422 | + | 0.841394i | \(0.318264\pi\) | |||||||
\(578\) | −0.668202 | + | 13.5621i | −0.0277935 | + | 0.564111i | ||||
\(579\) | 0.241279 | + | 0.662910i | 0.0100272 | + | 0.0275496i | ||||
\(580\) | 0.566377 | − | 0.553838i | 0.0235175 | − | 0.0229969i | ||||
\(581\) | 18.6710 | + | 32.3392i | 0.774605 | + | 1.34165i | ||||
\(582\) | −0.161024 | − | 0.313597i | −0.00667467 | − | 0.0129990i | ||||
\(583\) | 1.07140 | − | 6.07622i | 0.0443729 | − | 0.251651i | ||||
\(584\) | 14.4819 | + | 23.5972i | 0.599265 | + | 0.976457i | ||||
\(585\) | −2.27412 | + | 2.71019i | −0.0940231 | + | 0.112052i | ||||
\(586\) | −33.7181 | − | 14.1881i | −1.39288 | − | 0.586104i | ||||
\(587\) | −13.7736 | + | 37.8426i | −0.568497 | + | 1.56193i | 0.238354 | + | 0.971178i | \(0.423392\pi\) |
−0.806851 | + | 0.590754i | \(0.798830\pi\) | |||||||
\(588\) | −0.0885280 | − | 0.195534i | −0.00365083 | − | 0.00806367i | ||||
\(589\) | −20.1538 | + | 24.0531i | −0.830421 | + | 0.991092i | ||||
\(590\) | 7.45825 | + | 4.81032i | 0.307051 | + | 0.198038i | ||||
\(591\) | −0.104810 | − | 0.0381476i | −0.00431130 | − | 0.00156918i | ||||
\(592\) | 18.2972 | − | 30.1141i | 0.752010 | − | 1.23768i | ||||
\(593\) | 26.7671 | + | 22.4603i | 1.09919 | + | 0.922332i | 0.997371 | − | 0.0724705i | \(-0.0230883\pi\) |
0.101822 | + | 0.994803i | \(0.467533\pi\) | |||||||
\(594\) | 0.0391516 | + | 0.310818i | 0.00160641 | + | 0.0127530i | ||||
\(595\) | 11.6613 | + | 2.05621i | 0.478068 | + | 0.0842963i | ||||
\(596\) | −30.0490 | − | 2.96821i | −1.23085 | − | 0.121583i | ||||
\(597\) | −0.349835 | + | 0.201977i | −0.0143178 | + | 0.00826639i | ||||
\(598\) | −3.78414 | − | 0.861171i | −0.154745 | − | 0.0352159i | ||||
\(599\) | −30.0126 | + | 10.9237i | −1.22628 | + | 0.446331i | −0.872323 | − | 0.488930i | \(-0.837387\pi\) |
−0.353960 | + | 0.935261i | \(0.615165\pi\) | |||||||
\(600\) | 0.568036 | − | 0.224191i | 0.0231900 | − | 0.00915255i | ||||
\(601\) | −30.8953 | − | 17.8374i | −1.26024 | − | 0.727602i | −0.287122 | − | 0.957894i | \(-0.592699\pi\) |
−0.973122 | + | 0.230292i | \(0.926032\pi\) | |||||||
\(602\) | 29.1679 | − | 31.4757i | 1.18880 | − | 1.28285i | ||||
\(603\) | 21.6155 | − | 18.1375i | 0.880251 | − | 0.738618i | ||||
\(604\) | 3.39711 | − | 12.1333i | 0.138226 | − | 0.493697i | ||||
\(605\) | 1.37039 | + | 7.77185i | 0.0557142 | + | 0.315971i | ||||
\(606\) | 0.331383 | + | 0.436908i | 0.0134615 | + | 0.0177482i | ||||
\(607\) | 15.1801 | 0.616142 | 0.308071 | − | 0.951363i | \(-0.400317\pi\) | ||||
0.308071 | + | 0.951363i | \(0.400317\pi\) | |||||||
\(608\) | 1.74684 | − | 24.5957i | 0.0708436 | − | 0.997487i | ||||
\(609\) | −0.0774107 | −0.00313684 | ||||||||
\(610\) | −2.39561 | − | 3.15847i | −0.0969955 | − | 0.127883i | ||||
\(611\) | 2.87244 | + | 16.2904i | 0.116207 | + | 0.659040i | ||||
\(612\) | 8.33687 | − | 29.7764i | 0.336998 | − | 1.20364i | ||||
\(613\) | −25.6192 | + | 21.4971i | −1.03475 | + | 0.868260i | −0.991409 | − | 0.130801i | \(-0.958245\pi\) |
−0.0433427 | + | 0.999060i | \(0.513801\pi\) | |||||||
\(614\) | 1.94208 | − | 2.09574i | 0.0783758 | − | 0.0845770i | ||||
\(615\) | −0.0832649 | − | 0.0480730i | −0.00335757 | − | 0.00193849i | ||||
\(616\) | 6.04367 | − | 2.38530i | 0.243506 | − | 0.0961064i | ||||
\(617\) | −12.4136 | + | 4.51818i | −0.499752 | + | 0.181895i | −0.579583 | − | 0.814914i | \(-0.696784\pi\) |
0.0798303 | + | 0.996808i | \(0.474562\pi\) | |||||||
\(618\) | −0.437047 | − | 0.0994603i | −0.0175806 | − | 0.00400088i | ||||
\(619\) | 26.2189 | − | 15.1375i | 1.05383 | − | 0.608427i | 0.130109 | − | 0.991500i | \(-0.458467\pi\) |
0.923718 | + | 0.383072i | \(0.125134\pi\) | |||||||
\(620\) | −10.8452 | − | 1.07128i | −0.435555 | − | 0.0430237i | ||||
\(621\) | 0.506946 | + | 0.0893883i | 0.0203430 | + | 0.00358703i | ||||
\(622\) | 4.87042 | + | 38.6655i | 0.195286 | + | 1.55035i | ||||
\(623\) | −30.8174 | − | 25.8589i | −1.23467 | − | 1.03602i | ||||
\(624\) | −0.157951 | + | 0.259962i | −0.00632312 | + | 0.0104068i | ||||
\(625\) | −15.7256 | − | 5.72365i | −0.629024 | − | 0.228946i | ||||
\(626\) | −19.3332 | − | 12.4693i | −0.772709 | − | 0.498372i | ||||
\(627\) | 0.0805960 | + | 0.139367i | 0.00321869 | + | 0.00556577i | ||||
\(628\) | −0.631986 | − | 1.39588i | −0.0252190 | − | 0.0557017i | ||||
\(629\) | 15.5398 | − | 42.6951i | 0.619611 | − | 1.70237i | ||||
\(630\) | −8.97090 | − | 3.77483i | −0.357409 | − | 0.150393i | ||||
\(631\) | −5.39835 | + | 6.43350i | −0.214905 | + | 0.256114i | −0.862718 | − | 0.505686i | \(-0.831239\pi\) |
0.647813 | + | 0.761800i | \(0.275684\pi\) | |||||||
\(632\) | 22.4047 | + | 36.5067i | 0.891211 | + | 1.45216i | ||||
\(633\) | 0.117187 | − | 0.664601i | 0.00465777 | − | 0.0264155i | ||||
\(634\) | −2.04867 | − | 3.98982i | −0.0813630 | − | 0.158456i | ||||
\(635\) | 1.30602 | + | 2.26210i | 0.0518279 | + | 0.0897686i | ||||
\(636\) | −0.568154 | + | 0.555576i | −0.0225288 | + | 0.0220300i | ||||
\(637\) | −1.17360 | − | 3.22443i | −0.0464996 | − | 0.127757i | ||||
\(638\) | 0.0275803 | − | 0.559783i | 0.00109191 | − | 0.0221620i | ||||
\(639\) | −13.5033 | + | 23.3885i | −0.534184 | + | 0.925234i | ||||
\(640\) | 7.39688 | − | 4.31466i | 0.292387 | − | 0.170552i | ||||
\(641\) | 8.67553 | + | 10.3391i | 0.342663 | + | 0.408370i | 0.909662 | − | 0.415348i | \(-0.136340\pi\) |
−0.567000 | + | 0.823718i | \(0.691896\pi\) | |||||||
\(642\) | −0.271930 | − | 0.879586i | −0.0107322 | − | 0.0347145i | ||||
\(643\) | 32.2342 | − | 5.68376i | 1.27119 | − | 0.224146i | 0.502957 | − | 0.864312i | \(-0.332246\pi\) |
0.768237 | + | 0.640166i | \(0.221134\pi\) | |||||||
\(644\) | −0.811401 | − | 10.6455i | −0.0319737 | − | 0.419490i | ||||
\(645\) | 0.369271i | 0.0145400i | ||||||||
\(646\) | −3.99596 | − | 31.5419i | −0.157219 | − | 1.24100i | ||||
\(647\) | − | 27.0952i | − | 1.06522i | −0.846360 | − | 0.532611i | \(-0.821211\pi\) | ||
0.846360 | − | 0.532611i | \(-0.178789\pi\) | |||||||
\(648\) | −12.1028 | + | 22.3259i | −0.475442 | + | 0.877043i | ||||
\(649\) | 6.18372 | − | 1.09036i | 0.242732 | − | 0.0428002i | ||||
\(650\) | 9.32708 | − | 2.88353i | 0.365838 | − | 0.113101i | ||||
\(651\) | 0.684546 | + | 0.815810i | 0.0268295 | + | 0.0319741i | ||||
\(652\) | −6.26068 | − | 24.4570i | −0.245187 | − | 0.957809i | ||||
\(653\) | 17.7481 | − | 30.7407i | 0.694539 | − | 1.20298i | −0.275797 | − | 0.961216i | \(-0.588942\pi\) |
0.970336 | − | 0.241760i | \(-0.0777248\pi\) | |||||||
\(654\) | −0.826300 | − | 0.0407115i | −0.0323109 | − | 0.00159195i | ||||
\(655\) | −3.86865 | − | 10.6290i | −0.151161 | − | 0.415311i | ||||
\(656\) | 9.70805 | + | 3.78162i | 0.379036 | + | 0.147648i | ||||
\(657\) | −14.6714 | − | 25.4117i | −0.572387 | − | 0.991403i | ||||
\(658\) | −40.4815 | + | 20.7862i | −1.57813 | + | 0.810332i | ||||
\(659\) | 2.56553 | − | 14.5498i | 0.0999388 | − | 0.566781i | −0.893183 | − | 0.449694i | \(-0.851533\pi\) |
0.993122 | − | 0.117087i | \(-0.0373558\pi\) | |||||||
\(660\) | −0.0241947 | + | 0.0504049i | −0.000941777 | + | 0.00196201i | ||||
\(661\) | −16.8005 | + | 20.0220i | −0.653462 | + | 0.778766i | −0.986432 | − | 0.164172i | \(-0.947505\pi\) |
0.332970 | + | 0.942938i | \(0.391949\pi\) | |||||||
\(662\) | −0.934670 | + | 2.22125i | −0.0363270 | + | 0.0863313i | ||||
\(663\) | −0.134148 | + | 0.368568i | −0.00520987 | + | 0.0143140i | ||||
\(664\) | 34.4415 | + | 5.12395i | 1.33659 | + | 0.198848i | ||||
\(665\) | −10.0074 | + | 0.00713711i | −0.388070 | + | 0.000276765i | ||||
\(666\) | −20.2413 | + | 31.3836i | −0.784336 | + | 1.21609i | ||||
\(667\) | −0.865402 | − | 0.314981i | −0.0335085 | − | 0.0121961i | ||||
\(668\) | −21.9033 | + | 14.9743i | −0.847465 | + | 0.579374i | ||||
\(669\) | −0.349517 | − | 0.293280i | −0.0135131 | − | 0.0113388i | ||||
\(670\) | 9.99694 | − | 1.25925i | 0.386216 | − | 0.0486489i | ||||
\(671\) | −2.76210 | − | 0.487033i | −0.106630 | − | 0.0188017i | ||||
\(672\) | −0.811591 | − | 0.203907i | −0.0313078 | − | 0.00786589i | ||||
\(673\) | −8.55734 | + | 4.94058i | −0.329861 | + | 0.190446i | −0.655780 | − | 0.754952i | \(-0.727660\pi\) |
0.325918 | + | 0.945398i | \(0.394327\pi\) | |||||||
\(674\) | 3.75470 | − | 16.4989i | 0.144626 | − | 0.635512i | ||||
\(675\) | −1.21683 | + | 0.442891i | −0.0468360 | + | 0.0170469i | ||||
\(676\) | 12.3168 | − | 17.1777i | 0.473723 | − | 0.660682i | ||||
\(677\) | −10.8961 | − | 6.29088i | −0.418772 | − | 0.241778i | 0.275780 | − | 0.961221i | \(-0.411064\pi\) |
−0.694552 | + | 0.719443i | \(0.744397\pi\) | |||||||
\(678\) | −0.0391074 | − | 0.0362400i | −0.00150191 | − | 0.00139179i | ||||
\(679\) | 11.8764 | − | 9.96552i | 0.455776 | − | 0.382442i | ||||
\(680\) | 8.26486 | − | 7.32191i | 0.316943 | − | 0.280783i | ||||
\(681\) | −0.237283 | − | 1.34570i | −0.00909270 | − | 0.0515673i | ||||
\(682\) | −6.14329 | + | 4.65952i | −0.235239 | + | 0.178422i | ||||
\(683\) | 40.5886 | 1.55308 | 0.776540 | − | 0.630068i | \(-0.216973\pi\) | ||||
0.776540 | + | 0.630068i | \(0.216973\pi\) | |||||||
\(684\) | −2.55031 | + | 26.0079i | −0.0975135 | + | 0.994438i | ||||
\(685\) | −3.99595 | −0.152678 | ||||||||
\(686\) | −16.4034 | + | 12.4415i | −0.626283 | + | 0.475019i | ||||
\(687\) | 0.179637 | + | 1.01877i | 0.00685358 | + | 0.0388686i | ||||
\(688\) | −6.06467 | − | 39.5527i | −0.231213 | − | 1.50793i | ||||
\(689\) | −9.73159 | + | 8.16577i | −0.370744 | + | 0.311091i | ||||
\(690\) | 0.0673866 | + | 0.0624459i | 0.00256537 | + | 0.00237727i | ||||
\(691\) | 20.0557 | + | 11.5792i | 0.762956 | + | 0.440493i | 0.830356 | − | 0.557233i | \(-0.188137\pi\) |
−0.0674004 | + | 0.997726i | \(0.521470\pi\) | |||||||
\(692\) | 18.5059 | + | 13.2691i | 0.703487 | + | 0.504415i | ||||
\(693\) | −6.47074 | + | 2.35516i | −0.245803 | + | 0.0894650i | ||||
\(694\) | 1.70516 | − | 7.49280i | 0.0647272 | − | 0.284423i | ||||
\(695\) | −1.35235 | + | 0.780778i | −0.0512975 | + | 0.0296166i | ||||
\(696\) | −0.0448979 | + | 0.0565213i | −0.00170185 | + | 0.00214243i | ||||
\(697\) | 13.2298 | + | 2.33277i | 0.501115 | + | 0.0883600i | ||||
\(698\) | −10.0539 | + | 1.26642i | −0.380547 | + | 0.0479348i | ||||
\(699\) | 0.383096 | + | 0.321456i | 0.0144900 | + | 0.0121586i | ||||
\(700\) | 15.1573 | + | 22.1710i | 0.572893 | + | 0.837986i | ||||
\(701\) | 30.4371 | + | 11.0782i | 1.14959 | + | 0.418418i | 0.845369 | − | 0.534183i | \(-0.179381\pi\) |
0.304224 | + | 0.952601i | \(0.401603\pi\) | |||||||
\(702\) | 0.349608 | − | 0.542055i | 0.0131951 | − | 0.0204586i | ||||
\(703\) | −6.64089 | + | 37.8200i | −0.250466 | + | 1.42641i | ||||
\(704\) | 1.76368 | − | 5.79624i | 0.0664712 | − | 0.218454i | ||||
\(705\) | 0.133932 | − | 0.367974i | 0.00504416 | − | 0.0138587i | ||||
\(706\) | 13.6386 | − | 32.4122i | 0.513295 | − | 1.21985i | ||||
\(707\) | −15.5018 | + | 18.4744i | −0.583006 | + | 0.694800i | ||||
\(708\) | −0.729065 | − | 0.349956i | −0.0274000 | − | 0.0131522i | ||||
\(709\) | 7.62702 | − | 43.2550i | 0.286439 | − | 1.62448i | −0.413661 | − | 0.910431i | \(-0.635750\pi\) |
0.700100 | − | 0.714045i | \(-0.253139\pi\) | |||||||
\(710\) | −8.57890 | + | 4.40504i | −0.321960 | + | 0.165318i | ||||
\(711\) | −22.6979 | − | 39.3139i | −0.851238 | − | 1.47439i | ||||
\(712\) | −36.7548 | + | 7.50325i | −1.37744 | + | 0.281196i | ||||
\(713\) | 4.33329 | + | 11.9056i | 0.162283 | + | 0.445869i | ||||
\(714\) | −1.07769 | − | 0.0530976i | −0.0403317 | − | 0.00198713i | ||||
\(715\) | −0.446912 | + | 0.774075i | −0.0167136 | + | 0.0289488i | ||||
\(716\) | 13.7809 | − | 3.52774i | 0.515016 | − | 0.131838i | ||||
\(717\) | 0.130062 | + | 0.155001i | 0.00485724 | + | 0.00578863i | ||||
\(718\) | 11.2443 | − | 3.47624i | 0.419632 | − | 0.129732i | ||||
\(719\) | −12.5454 | + | 2.21209i | −0.467864 | + | 0.0824971i | −0.402610 | − | 0.915372i | \(-0.631897\pi\) |
−0.0652543 | + | 0.997869i | \(0.520786\pi\) | |||||||
\(720\) | −7.95927 | + | 4.36071i | −0.296624 | + | 0.162514i | ||||
\(721\) | − | 19.7123i | − | 0.734126i | ||||||
\(722\) | 7.97304 | + | 25.6599i | 0.296726 | + | 0.954963i | ||||
\(723\) | − | 0.361252i | − | 0.0134351i | ||||||
\(724\) | 20.0546 | − | 1.52857i | 0.745322 | − | 0.0568087i | ||||
\(725\) | 2.28149 | − | 0.402289i | 0.0847325 | − | 0.0149406i | ||||
\(726\) | −0.212400 | − | 0.687031i | −0.00788291 | − | 0.0254981i | ||||
\(727\) | −14.5133 | − | 17.2962i | −0.538267 | − | 0.641481i | 0.426531 | − | 0.904473i | \(-0.359735\pi\) |
−0.964798 | + | 0.262991i | \(0.915291\pi\) | |||||||
\(728\) | −12.6893 | − | 4.23642i | −0.470296 | − | 0.157012i | ||||
\(729\) | 13.4358 | − | 23.2715i | 0.497623 | − | 0.861909i | ||||
\(730\) | 0.515620 | − | 10.4653i | 0.0190840 | − | 0.387337i | ||||
\(731\) | −17.6468 | − | 48.4843i | −0.652692 | − | 1.79326i | ||||
\(732\) | 0.252551 | + | 0.258269i | 0.00933456 | + | 0.00954590i | ||||
\(733\) | 13.0679 | + | 22.6343i | 0.482675 | + | 0.836017i | 0.999802 | − | 0.0198913i | \(-0.00633202\pi\) |
−0.517127 | + | 0.855908i | \(0.672999\pi\) | |||||||
\(734\) | 3.80025 | + | 7.40106i | 0.140270 | + | 0.273178i | ||||
\(735\) | −0.0141055 | + | 0.0799963i | −0.000520289 | + | 0.00295071i | ||||
\(736\) | −8.24337 | − | 5.58188i | −0.303855 | − | 0.205751i | ||||
\(737\) | 4.58232 | − | 5.46100i | 0.168792 | − | 0.201159i | ||||
\(738\) | −10.1775 | − | 4.28255i | −0.374639 | − | 0.157643i | ||||
\(739\) | −13.7325 | + | 37.7299i | −0.505160 | + | 1.38792i | 0.381017 | + | 0.924568i | \(0.375574\pi\) |
−0.886177 | + | 0.463347i | \(0.846648\pi\) | |||||||
\(740\) | −12.1483 | + | 5.50015i | −0.446580 | + | 0.202189i | ||||
\(741\) | 0.0573278 | − | 0.326483i | 0.00210599 | − | 0.0119937i | ||||
\(742\) | −29.3691 | − | 18.9421i | −1.07818 | − | 0.695387i | ||||
\(743\) | 19.0012 | + | 6.91587i | 0.697086 | + | 0.253719i | 0.666166 | − | 0.745803i | \(-0.267934\pi\) |
0.0309197 | + | 0.999522i | \(0.490156\pi\) | |||||||
\(744\) | 0.992695 | − | 0.0266538i | 0.0363940 | − | 0.000977174i | ||||
\(745\) | 8.75383 | + | 7.34534i | 0.320716 | + | 0.269112i | ||||
\(746\) | 3.72993 | + | 29.6113i | 0.136562 | + | 1.08415i | ||||
\(747\) | −36.3428 | − | 6.40822i | −1.32972 | − | 0.234465i | ||||
\(748\) | 0.767933 | − | 7.77425i | 0.0280784 | − | 0.284255i | ||||
\(749\) | 35.0652 | − | 20.2449i | 1.28126 | − | 0.739733i | ||||
\(750\) | −0.479857 | − | 0.109203i | −0.0175219 | − | 0.00398752i | ||||
\(751\) | 30.8187 | − | 11.2171i | 1.12459 | − | 0.409318i | 0.288265 | − | 0.957551i | \(-0.406922\pi\) |
0.836326 | + | 0.548233i | \(0.184699\pi\) | |||||||
\(752\) | −8.30208 | + | 41.6134i | −0.302746 | + | 1.51749i | ||||
\(753\) | −0.332988 | − | 0.192251i | −0.0121348 | − | 0.00700602i | ||||
\(754\) | −0.784360 | + | 0.846419i | −0.0285647 | + | 0.0308248i | ||||
\(755\) | −3.65281 | + | 3.06507i | −0.132939 | + | 0.111549i | ||||
\(756\) | 1.70874 | + | 0.478416i | 0.0621461 | + | 0.0173998i | ||||
\(757\) | −0.0728195 | − | 0.412980i | −0.00264667 | − | 0.0150100i | 0.983456 | − | 0.181148i | \(-0.0579814\pi\) |
−0.986102 | + | 0.166138i | \(0.946870\pi\) | |||||||
\(758\) | 10.2699 | + | 13.5402i | 0.373019 | + | 0.491803i | ||||
\(759\) | 0.0650003 | 0.00235936 | ||||||||
\(760\) | −5.79903 | + | 7.31101i | −0.210353 | + | 0.265198i | ||||
\(761\) | −5.25859 | −0.190624 | −0.0953119 | − | 0.995447i | \(-0.530385\pi\) | ||||
−0.0953119 | + | 0.995447i | \(0.530385\pi\) | |||||||
\(762\) | −0.143836 | − | 0.189638i | −0.00521062 | − | 0.00686988i | ||||
\(763\) | −6.31801 | − | 35.8312i | −0.228727 | − | 1.29718i | ||||
\(764\) | 16.6579 | + | 4.66391i | 0.602660 | + | 0.168734i | ||||
\(765\) | −8.96438 | + | 7.52201i | −0.324108 | + | 0.271959i | ||||
\(766\) | −17.0090 | + | 18.3548i | −0.614560 | + | 0.663184i | ||||
\(767\) | −11.1964 | − | 6.46422i | −0.404277 | − | 0.233410i | ||||
\(768\) | −0.619601 | + | 0.474316i | −0.0223579 | + | 0.0171154i | ||||
\(769\) | 0.0384186 | − | 0.0139832i | 0.00138541 | − | 0.000504249i | −0.341327 | − | 0.939944i | \(-0.610876\pi\) |
0.342713 | + | 0.939440i | \(0.388654\pi\) | |||||||
\(770\) | −2.39761 | − | 0.545633i | −0.0864038 | − | 0.0196632i | ||||
\(771\) | 0.355027 | − | 0.204975i | 0.0127860 | − | 0.00738200i | ||||
\(772\) | −2.84386 | + | 28.7901i | −0.102353 | + | 1.03618i | ||||
\(773\) | 25.9276 | + | 4.57173i | 0.932550 | + | 0.164434i | 0.619226 | − | 0.785213i | \(-0.287446\pi\) |
0.313324 | + | 0.949646i | \(0.398558\pi\) | |||||||
\(774\) | 5.30003 | + | 42.0761i | 0.190506 | + | 1.51239i | ||||
\(775\) | −24.4149 | − | 20.4865i | −0.877009 | − | 0.735898i | ||||
\(776\) | −0.388022 | − | 14.4515i | −0.0139292 | − | 0.518780i | ||||
\(777\) | 1.22456 | + | 0.445702i | 0.0439307 | + | 0.0159895i | ||||
\(778\) | 28.2356 | + | 18.2110i | 1.01229 | + | 0.652896i | ||||
\(779\) | −11.3534 | + | 0.00809706i | −0.406777 | + | 0.000290107i | ||||
\(780\) | 0.104871 | − | 0.0474803i | 0.00375497 | − | 0.00170007i | ||||
\(781\) | −2.33362 | + | 6.41157i | −0.0835035 | + | 0.229424i | ||||
\(782\) | −11.8319 | − | 4.97868i | −0.423107 | − | 0.178037i | ||||
\(783\) | 0.0983876 | − | 0.117254i | 0.00351609 | − | 0.00419031i | ||||
\(784\) | 0.197035 | − | 8.80008i | 0.00703696 | − | 0.314289i | ||||
\(785\) | −0.100697 | + | 0.571079i | −0.00359402 | + | 0.0203827i | ||||
\(786\) | 0.470801 | + | 0.916893i | 0.0167929 | + | 0.0327045i | ||||
\(787\) | 19.4995 | + | 33.7741i | 0.695081 | + | 1.20392i | 0.970153 | + | 0.242492i | \(0.0779648\pi\) |
−0.275072 | + | 0.961423i | \(0.588702\pi\) | |||||||
\(788\) | −3.19793 | − | 3.27033i | −0.113921 | − | 0.116501i | ||||
\(789\) | 0.387137 | + | 1.06365i | 0.0137824 | + | 0.0378670i | ||||
\(790\) | 0.797706 | − | 16.1906i | 0.0283811 | − | 0.576037i | ||||
\(791\) | 1.17242 | − | 2.03069i | 0.0416865 | − | 0.0722031i | ||||
\(792\) | −2.03339 | + | 6.09058i | −0.0722533 | + | 0.216419i | ||||
\(793\) | 3.71196 | + | 4.42374i | 0.131816 | + | 0.157092i | ||||
\(794\) | 11.5790 | + | 37.4535i | 0.410924 | + | 1.32918i | ||||
\(795\) | 0.296164 | − | 0.0522217i | 0.0105038 | − | 0.00185211i | ||||
\(796\) | −16.5180 | + | 1.25901i | −0.585466 | + | 0.0446245i | ||||
\(797\) | 23.6830i | 0.838894i | 0.907780 | + | 0.419447i | \(0.137776\pi\) | ||||
−0.907780 | + | 0.419447i | \(0.862224\pi\) | |||||||
\(798\) | 0.904666 | − | 0.114610i | 0.0320248 | − | 0.00405715i | ||||
\(799\) | 54.7145i | 1.93566i | ||||||||
\(800\) | 24.9793 | + | 1.79199i | 0.883152 | + | 0.0633563i | ||||
\(801\) | 39.1529 | − | 6.90370i | 1.38340 | − | 0.243930i | ||||
\(802\) | −33.0140 | + | 10.2065i | −1.16576 | + | 0.360404i | ||||
\(803\) | −4.76516 | − | 5.67889i | −0.168159 | − | 0.200404i | ||||
\(804\) | −0.889463 | + | 0.227692i | −0.0313689 | + | 0.00803007i | ||||
\(805\) | −2.02022 | + | 3.49912i | −0.0712034 | + | 0.123328i | ||||
\(806\) | 15.8563 | + | 0.781234i | 0.558514 | + | 0.0275178i | ||||
\(807\) | −0.383023 | − | 1.05235i | −0.0134831 | − | 0.0370444i | ||||
\(808\) | 4.49803 | + | 22.0337i | 0.158240 | + | 0.775142i | ||||
\(809\) | −11.3880 | − | 19.7247i | −0.400382 | − | 0.693483i | 0.593390 | − | 0.804915i | \(-0.297789\pi\) |
−0.993772 | + | 0.111433i | \(0.964456\pi\) | |||||||
\(810\) | 8.54959 | − | 4.39000i | 0.300402 | − | 0.154249i | ||||
\(811\) | 6.60869 | − | 37.4798i | 0.232063 | − | 1.31609i | −0.616650 | − | 0.787238i | \(-0.711510\pi\) |
0.848712 | − | 0.528855i | \(-0.177378\pi\) | |||||||
\(812\) | −2.86194 | − | 1.37375i | −0.100434 | − | 0.0482092i | ||||
\(813\) | 0.0802615 | − | 0.0956519i | 0.00281489 | − | 0.00335466i | ||||
\(814\) | −3.65932 | + | 8.69639i | −0.128259 | + | 0.304808i | ||||
\(815\) | −3.26771 | + | 8.97796i | −0.114463 | + | 0.314484i | ||||
\(816\) | −0.663827 | + | 0.756080i | −0.0232386 | + | 0.0264681i | ||||
\(817\) | 21.8296 | + | 37.7477i | 0.763720 | + | 1.32063i | ||||
\(818\) | 5.53377 | − | 8.57994i | 0.193484 | − | 0.299990i | ||||
\(819\) | 13.3230 | + | 4.84918i | 0.465543 | + | 0.169444i | ||||
\(820\) | −2.22526 | − | 3.25494i | −0.0777094 | − | 0.113667i | ||||
\(821\) | −32.3816 | − | 27.1714i | −1.13013 | − | 0.948289i | −0.131055 | − | 0.991375i | \(-0.541837\pi\) |
−0.999071 | + | 0.0430862i | \(0.986281\pi\) | |||||||
\(822\) | 0.361266 | − | 0.0455062i | 0.0126006 | − | 0.00158721i | ||||
\(823\) | 5.80436 | + | 1.02346i | 0.202327 | + | 0.0356757i | 0.273893 | − | 0.961760i | \(-0.411689\pi\) |
−0.0715660 | + | 0.997436i | \(0.522800\pi\) | |||||||
\(824\) | −14.3929 | − | 11.4331i | −0.501402 | − | 0.398290i | ||||
\(825\) | −0.141606 | + | 0.0817562i | −0.00493008 | + | 0.00284638i | ||||
\(826\) | 7.89213 | − | 34.6795i | 0.274602 | − | 1.20665i | ||||
\(827\) | −32.1283 | + | 11.6937i | −1.11721 | + | 0.406631i | −0.833633 | − | 0.552318i | \(-0.813743\pi\) |
−0.283577 | + | 0.958950i | \(0.591521\pi\) | |||||||
\(828\) | 8.57456 | + | 6.14814i | 0.297986 | + | 0.213663i | ||||
\(829\) | −16.6326 | − | 9.60285i | −0.577675 | − | 0.333521i | 0.182534 | − | 0.983200i | \(-0.441570\pi\) |
−0.760209 | + | 0.649679i | \(0.774903\pi\) | |||||||
\(830\) | −9.66570 | − | 8.95701i | −0.335501 | − | 0.310902i | ||||
\(831\) | −0.0378586 | + | 0.0317671i | −0.00131330 | + | 0.00110199i | ||||
\(832\) | −10.4529 | + | 6.80796i | −0.362391 | + | 0.236024i | ||||
\(833\) | −1.97088 | − | 11.1774i | −0.0682868 | − | 0.387274i | ||||
\(834\) | 0.113371 | − | 0.0859892i | 0.00392573 | − | 0.00297756i | ||||
\(835\) | 10.0413 | 0.347492 | ||||||||
\(836\) | 0.506464 | + | 6.58278i | 0.0175164 | + | 0.227670i | ||||
\(837\) | −2.10575 | −0.0727853 | ||||||||
\(838\) | 16.6143 | − | 12.6015i | 0.573930 | − | 0.435311i | ||||
\(839\) | 2.76417 | + | 15.6764i | 0.0954297 | + | 0.541209i | 0.994615 | + | 0.103640i | \(0.0330491\pi\) |
−0.899185 | + | 0.437569i | \(0.855840\pi\) | |||||||
\(840\) | 0.210003 | + | 0.237048i | 0.00724579 | + | 0.00817893i | ||||
\(841\) | 22.0055 | − | 18.4648i | 0.758811 | − | 0.636718i | ||||
\(842\) | −2.54639 | − | 2.35969i | −0.0877545 | − | 0.0813204i | ||||
\(843\) | −0.0630039 | − | 0.0363753i | −0.00216997 | − | 0.00125283i | ||||
\(844\) | 16.1267 | − | 22.4912i | 0.555103 | − | 0.774180i | ||||
\(845\) | −7.51688 | + | 2.73592i | −0.258589 | + | 0.0941186i | ||||
\(846\) | 9.97926 | − | 43.8507i | 0.343094 | − | 1.50762i | ||||
\(847\) | 27.3889 | − | 15.8130i | 0.941094 | − | 0.543341i | ||||
\(848\) | −30.8645 | + | 10.4575i | −1.05989 | + | 0.359112i | ||||
\(849\) | 0.0871882 | + | 0.0153736i | 0.00299229 | + | 0.000527622i | ||||
\(850\) | 32.0383 | − | 4.03565i | 1.09891 | − | 0.138422i | ||||
\(851\) | 11.8762 | + | 9.96533i | 0.407111 | + | 0.341607i | ||||
\(852\) | 0.725436 | − | 0.495948i | 0.0248530 | − | 0.0169909i | ||||
\(853\) | 49.7520 | + | 18.1082i | 1.70348 | + | 0.620014i | 0.996214 | − | 0.0869379i | \(-0.0277082\pi\) |
0.707261 | + | 0.706952i | \(0.249930\pi\) | |||||||
\(854\) | −8.61062 | + | 13.3505i | −0.294649 | + | 0.456845i | ||||
\(855\) | 6.35167 | − | 7.58060i | 0.217223 | − | 0.259251i | ||||
\(856\) | 5.55588 | − | 37.3448i | 0.189896 | − | 1.27642i | ||||
\(857\) | −14.6168 | + | 40.1592i | −0.499299 | + | 1.37181i | 0.392654 | + | 0.919686i | \(0.371557\pi\) |
−0.891953 | + | 0.452127i | \(0.850665\pi\) | |||||||
\(858\) | 0.0315892 | − | 0.0750720i | 0.00107844 | − | 0.00256292i | ||||
\(859\) | 7.20171 | − | 8.58266i | 0.245719 | − | 0.292837i | −0.629062 | − | 0.777355i | \(-0.716561\pi\) |
0.874781 | + | 0.484519i | \(0.161005\pi\) | |||||||
\(860\) | −6.55317 | + | 13.6522i | −0.223461 | + | 0.465538i | ||||
\(861\) | −0.0669072 | + | 0.379450i | −0.00228019 | + | 0.0129316i | ||||
\(862\) | 42.6640 | − | 21.9068i | 1.45314 | − | 0.746150i | ||||
\(863\) | 18.3713 | + | 31.8200i | 0.625367 | + | 1.08317i | 0.988470 | + | 0.151418i | \(0.0483839\pi\) |
−0.363103 | + | 0.931749i | \(0.618283\pi\) | |||||||
\(864\) | 1.34037 | − | 0.970151i | 0.0456004 | − | 0.0330052i | ||||
\(865\) | −2.94746 | − | 8.09807i | −0.100217 | − | 0.275343i | ||||
\(866\) | 26.6903 | + | 1.31502i | 0.906972 | + | 0.0446862i | ||||
\(867\) | −0.234130 | + | 0.405524i | −0.00795146 | + | 0.0137723i | ||||
\(868\) | 10.8307 | + | 42.3093i | 0.367616 | + | 1.43607i | ||||
\(869\) | −7.37209 | − | 8.78571i | −0.250081 | − | 0.298035i | ||||
\(870\) | 0.0260990 | − | 0.00806867i | 0.000884838 | − | 0.000273554i | ||||
\(871\) | −14.4550 | + | 2.54880i | −0.489789 | + | 0.0863630i | ||||
\(872\) | −29.8265 | − | 16.1689i | −1.01005 | − | 0.547547i | ||||
\(873\) | 15.3215i | 0.518555i | ||||||||
\(874\) | 10.5799 | + | 2.39978i | 0.357871 | + | 0.0811737i | ||||
\(875\) | − | 21.6432i | − | 0.731675i | ||||||
\(876\) | 0.0725630 | + | 0.952016i | 0.00245168 | + | 0.0321656i | ||||
\(877\) | −42.8083 | + | 7.54826i | −1.44553 | + | 0.254887i | −0.840716 | − | 0.541477i | \(-0.817865\pi\) |
−0.604818 | + | 0.796364i | \(0.706754\pi\) | |||||||
\(878\) | −8.17484 | − | 26.4424i | −0.275888 | − | 0.892388i | ||||
\(879\) | −0.810888 | − | 0.966379i | −0.0273506 | − | 0.0325952i | ||||
\(880\) | −1.78899 | + | 1.43415i | −0.0603070 | + | 0.0483450i | ||||
\(881\) | −4.25465 | + | 7.36927i | −0.143343 | + | 0.248277i | −0.928753 | − | 0.370698i | \(-0.879118\pi\) |
0.785411 | + | 0.618975i | \(0.212452\pi\) | |||||||
\(882\) | −0.459071 | + | 9.31753i | −0.0154577 | + | 0.313738i | ||||
\(883\) | 6.94077 | + | 19.0696i | 0.233575 | + | 0.641743i | 1.00000 | 0.000591383i | \(-0.000188243\pi\) | |
−0.766424 | + | 0.642334i | \(0.777966\pi\) | |||||||
\(884\) | −11.5003 | + | 11.2456i | −0.386795 | + | 0.378232i | ||||
\(885\) | 0.153027 | + | 0.265050i | 0.00514394 | + | 0.00890956i | ||||
\(886\) | 6.93847 | + | 13.5128i | 0.233102 | + | 0.453971i | ||||
\(887\) | 3.85358 | − | 21.8547i | 0.129390 | − | 0.733810i | −0.849212 | − | 0.528051i | \(-0.822923\pi\) |
0.978603 | − | 0.205758i | \(-0.0659660\pi\) | |||||||
\(888\) | 1.03567 | − | 0.635603i | 0.0347547 | − | 0.0213294i | ||||
\(889\) | 6.72851 | − | 8.01873i | 0.225667 | − | 0.268940i | ||||
\(890\) | 13.0854 | + | 5.50615i | 0.438624 | + | 0.184567i | ||||
\(891\) | 2.32565 | − | 6.38967i | 0.0779122 | − | 0.214062i | ||||
\(892\) | −7.71732 | − | 17.0454i | −0.258395 | − | 0.570722i | ||||
\(893\) | −8.06211 | − | 45.5326i | −0.269788 | − | 1.52369i | ||||
\(894\) | −0.875065 | − | 0.564388i | −0.0292666 | − | 0.0188760i | ||||
\(895\) | −5.05886 | − | 1.84127i | −0.169099 | − | 0.0615470i | ||||
\(896\) | −26.3866 | − | 21.9413i | −0.881514 | − | 0.733008i | ||||
\(897\) | −0.102522 | − | 0.0860262i | −0.00342311 | − | 0.00287233i | ||||
\(898\) | −2.55974 | − | 20.3213i | −0.0854195 | − | 0.678132i | ||||
\(899\) | 3.71005 | + | 0.654182i | 0.123737 | + | 0.0218182i | ||||
\(900\) | −26.4130 | − | 2.60906i | −0.880435 | − | 0.0869685i | ||||
\(901\) | −36.3900 | + | 21.0098i | −1.21233 | + | 0.699936i | ||||
\(902\) | −2.72009 | − | 0.619021i | −0.0905691 | − | 0.0206111i | ||||
\(903\) | 1.39060 | − | 0.506136i | 0.0462762 | − | 0.0168432i | ||||
\(904\) | −0.802708 | − | 2.03383i | −0.0266977 | − | 0.0676443i | ||||
\(905\) | −6.59186 | − | 3.80581i | −0.219121 | − | 0.126510i | ||||
\(906\) | 0.295338 | − | 0.318705i | 0.00981194 | − | 0.0105883i | ||||
\(907\) | −14.1086 | + | 11.8385i | −0.468467 | + | 0.393091i | −0.846235 | − | 0.532810i | \(-0.821136\pi\) |
0.377768 | + | 0.925900i | \(0.376692\pi\) | |||||||
\(908\) | 15.1086 | − | 53.9625i | 0.501395 | − | 1.79081i | ||||
\(909\) | −4.13861 | − | 23.4712i | −0.137269 | − | 0.778492i | ||||
\(910\) | 3.05951 | + | 4.03378i | 0.101422 | + | 0.133718i | ||||
\(911\) | 24.3324 | 0.806168 | 0.403084 | − | 0.915163i | \(-0.367938\pi\) | ||||
0.403084 | + | 0.915163i | \(0.367938\pi\) | |||||||
\(912\) | 0.441020 | − | 0.727013i | 0.0146036 | − | 0.0240738i | ||||
\(913\) | −9.32341 | −0.308560 | ||||||||
\(914\) | 1.63327 | + | 2.15337i | 0.0540238 | + | 0.0712270i | ||||
\(915\) | −0.0237387 | − | 0.134629i | −0.000784777 | − | 0.00445069i | ||||
\(916\) | −11.4381 | + | 40.8528i | −0.377924 | + | 1.34981i | ||||
\(917\) | −34.7243 | + | 29.1371i | −1.14670 | + | 0.962192i | ||||
\(918\) | 1.45016 | − | 1.56489i | 0.0478623 | − | 0.0516492i | ||||
\(919\) | −25.1161 | − | 14.5008i | −0.828504 | − | 0.478337i | 0.0248364 | − | 0.999692i | \(-0.492094\pi\) |
−0.853340 | + | 0.521355i | \(0.825427\pi\) | |||||||
\(920\) | 1.38316 | + | 3.50454i | 0.0456014 | + | 0.115541i | ||||
\(921\) | 0.0925897 | − | 0.0336999i | 0.00305093 | − | 0.00111045i | ||||
\(922\) | −23.0823 | − | 5.25293i | −0.760176 | − | 0.172996i | ||||
\(923\) | 12.1663 | − | 7.02420i | 0.400457 | − | 0.231204i | ||||
\(924\) | 0.222977 | + | 0.0220254i | 0.00733539 | + | 0.000724583i | ||||
\(925\) | −38.4070 | − | 6.77220i | −1.26282 | − | 0.222668i | ||||
\(926\) | −4.83487 | − | 38.3833i | −0.158884 | − | 1.26135i | ||||
\(927\) | 14.9232 | + | 12.5220i | 0.490142 | + | 0.411278i | ||||
\(928\) | −2.66295 | + | 1.29287i | −0.0874157 | + | 0.0424406i | ||||
\(929\) | −51.4833 | − | 18.7384i | −1.68911 | − | 0.614787i | −0.694600 | − | 0.719396i | \(-0.744419\pi\) |
−0.994513 | + | 0.104609i | \(0.966641\pi\) | |||||||
\(930\) | −0.315827 | − | 0.203698i | −0.0103564 | − | 0.00667953i | ||||
\(931\) | 3.28711 | + | 9.01126i | 0.107731 | + | 0.295332i | ||||
\(932\) | 8.45875 | + | 18.6830i | 0.277076 | + | 0.611983i | ||||
\(933\) | −0.459648 | + | 1.26287i | −0.0150482 | + | 0.0413446i | ||||
\(934\) | 23.4552 | + | 9.86962i | 0.767478 | + | 0.322944i | ||||
\(935\) | −1.90038 | + | 2.26479i | −0.0621492 | + | 0.0740665i | ||||
\(936\) | 11.2679 | − | 6.91526i | 0.368303 | − | 0.226033i | ||||
\(937\) | −3.50848 | + | 19.8976i | −0.114617 | + | 0.650026i | 0.872322 | + | 0.488932i | \(0.162613\pi\) |
−0.986939 | + | 0.161094i | \(0.948498\pi\) | |||||||
\(938\) | −18.4443 | − | 35.9205i | −0.602226 | − | 1.17285i | ||||
\(939\) | −0.396674 | − | 0.687059i | −0.0129450 | − | 0.0224213i | ||||
\(940\) | 11.4817 | − | 11.2275i | 0.374493 | − | 0.366202i | ||||
\(941\) | 13.2176 | + | 36.3151i | 0.430882 | + | 1.18384i | 0.945272 | + | 0.326283i | \(0.105796\pi\) |
−0.514390 | + | 0.857557i | \(0.671981\pi\) | |||||||
\(942\) | 0.00260030 | − | 0.0527768i | 8.47222e−5 | − | 0.00171956i | ||||
\(943\) | −2.29194 | + | 3.96976i | −0.0746359 | + | 0.129273i | ||||
\(944\) | −20.7437 | − | 25.8764i | −0.675151 | − | 0.842204i | ||||
\(945\) | −0.431655 | − | 0.514426i | −0.0140417 | − | 0.0167343i | ||||
\(946\) | 3.16459 | + | 10.2362i | 0.102890 | + | 0.332808i | ||||
\(947\) | −20.9978 | + | 3.70248i | −0.682338 | + | 0.120315i | −0.504064 | − | 0.863666i | \(-0.668162\pi\) |
−0.178274 | + | 0.983981i | \(0.557051\pi\) | |||||||
\(948\) | 0.112261 | + | 1.47285i | 0.00364606 | + | 0.0478358i | ||||
\(949\) | 15.2636i | 0.495478i | ||||||||
\(950\) | −26.0672 | + | 8.07922i | −0.845732 | + | 0.262124i | ||||
\(951\) | − | 0.154667i | − | 0.00501543i | ||||||
\(952\) | −38.9010 | − | 21.0881i | −1.26079 | − | 0.683469i | ||||
\(953\) | 9.61564 | − | 1.69550i | 0.311481 | − | 0.0549225i | −0.0157225 | − | 0.999876i | \(-0.505005\pi\) |
0.327204 | + | 0.944954i | \(0.393894\pi\) | |||||||
\(954\) | 32.9965 | − | 10.2011i | 1.06830 | − | 0.330272i | ||||
\(955\) | −4.20805 | − | 5.01496i | −0.136169 | − | 0.162280i | ||||
\(956\) | 2.05779 | + | 8.03863i | 0.0665537 | + | 0.259988i | ||||
\(957\) | 0.00966379 | − | 0.0167382i | 0.000312386 | − | 0.000541069i | ||||
\(958\) | −40.5472 | − | 1.99775i | −1.31002 | − | 0.0645443i | ||||
\(959\) | 5.47701 | + | 15.0480i | 0.176862 | + | 0.485924i | ||||
\(960\) | 0.294881 | − | 0.0158465i | 0.00951724 | − | 0.000511442i | ||||
\(961\) | −10.4139 | − | 18.0373i | −0.335931 | − | 0.581849i | ||||
\(962\) | 17.2811 | − | 8.87341i | 0.557166 | − | 0.286090i | ||||
\(963\) | −6.94841 | + | 39.4064i | −0.223909 | + | 1.26985i | ||||
\(964\) | 6.41087 | − | 13.3558i | 0.206480 | − | 0.430161i | ||||
\(965\) | 7.03762 | − | 8.38711i | 0.226549 | − | 0.269991i | ||||
\(966\) | 0.142796 | − | 0.339355i | 0.00459438 | − | 0.0109186i | ||||
\(967\) | 3.34004 | − | 9.17669i | 0.107408 | − | 0.295102i | −0.874332 | − | 0.485329i | \(-0.838700\pi\) |
0.981740 | + | 0.190226i | \(0.0609222\pi\) | |||||||
\(968\) | 4.33962 | − | 29.1694i | 0.139481 | − | 0.937541i | ||||
\(969\) | 0.374262 | − | 1.03056i | 0.0120230 | − | 0.0331065i | ||||
\(970\) | −2.96541 | + | 4.59778i | −0.0952136 | + | 0.147626i | ||||
\(971\) | −6.46943 | − | 2.35468i | −0.207614 | − | 0.0755653i | 0.236120 | − | 0.971724i | \(-0.424124\pi\) |
−0.443734 | + | 0.896159i | \(0.646346\pi\) | |||||||
\(972\) | −2.17175 | + | 1.48473i | −0.0696588 | + | 0.0476226i | ||||
\(973\) | 4.79383 | + | 4.02250i | 0.153683 | + | 0.128955i | ||||
\(974\) | 39.6506 | − | 4.99451i | 1.27049 | − | 0.160034i | ||||
\(975\) | 0.331551 | + | 0.0584613i | 0.0106181 | + | 0.00187226i | ||||
\(976\) | 4.75372 | + | 14.0303i | 0.152163 | + | 0.449098i | ||||
\(977\) | −18.1282 | + | 10.4663i | −0.579973 | + | 0.334848i | −0.761123 | − | 0.648608i | \(-0.775352\pi\) |
0.181149 | + | 0.983456i | \(0.442018\pi\) | |||||||
\(978\) | 0.193185 | − | 0.848892i | 0.00617739 | − | 0.0271446i | ||||
\(979\) | 9.43854 | − | 3.43535i | 0.301657 | − | 0.109794i | ||||
\(980\) | −1.94113 | + | 2.70721i | −0.0620070 | + | 0.0864787i | ||||
\(981\) | 31.1394 | + | 17.9783i | 0.994205 | + | 0.574004i | ||||
\(982\) | −3.27883 | − | 3.03843i | −0.104632 | − | 0.0969601i | ||||
\(983\) | 13.8631 | − | 11.6325i | 0.442164 | − | 0.371020i | −0.394354 | − | 0.918959i | \(-0.629032\pi\) |
0.836519 | + | 0.547939i | \(0.184587\pi\) | |||||||
\(984\) | 0.238249 | + | 0.268931i | 0.00759508 | + | 0.00857321i | ||||
\(985\) | 0.300591 | + | 1.70474i | 0.00957763 | + | 0.0543174i | ||||
\(986\) | −3.04114 | + | 2.30662i | −0.0968496 | + | 0.0734578i | ||||
\(987\) | −1.56929 | −0.0499510 | ||||||||
\(988\) | 7.91331 | − | 11.0530i | 0.251756 | − | 0.351643i | ||||
\(989\) | 17.6054 | 0.559821 | ||||||||
\(990\) | 1.93612 | − | 1.46850i | 0.0615340 | − | 0.0466719i | ||||
\(991\) | 1.80534 | + | 10.2386i | 0.0573485 | + | 0.325240i | 0.999963 | − | 0.00864445i | \(-0.00275165\pi\) |
−0.942614 | + | 0.333884i | \(0.891641\pi\) | |||||||
\(992\) | 37.1738 | + | 16.6312i | 1.18027 | + | 0.528041i | ||||
\(993\) | −0.0636623 | + | 0.0534190i | −0.00202026 | + | 0.00169520i | ||||
\(994\) | 28.3471 | + | 26.2687i | 0.899114 | + | 0.833191i | ||||
\(995\) | 5.42942 | + | 3.13468i | 0.172124 | + | 0.0993759i | ||||
\(996\) | 0.975859 | + | 0.699711i | 0.0309213 | + | 0.0221712i | ||||
\(997\) | 51.1244 | − | 18.6078i | 1.61913 | − | 0.589313i | 0.635910 | − | 0.771763i | \(-0.280625\pi\) |
0.983215 | + | 0.182450i | \(0.0584026\pi\) | |||||||
\(998\) | 6.46400 | − | 28.4040i | 0.204614 | − | 0.899113i | ||||
\(999\) | −2.23149 | + | 1.28835i | −0.0706013 | + | 0.0407617i |
(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 | 76.2.k.a.15.6 | yes | 48 | |
3.2 | odd | 2 | 684.2.cf.a.91.3 | 48 | |||
4.3 | odd | 2 | inner | 76.2.k.a.15.1 | ✓ | 48 | |
12.11 | even | 2 | 684.2.cf.a.91.8 | 48 | |||
19.14 | odd | 18 | inner | 76.2.k.a.71.1 | yes | 48 | |
57.14 | even | 18 | 684.2.cf.a.451.8 | 48 | |||
76.71 | even | 18 | inner | 76.2.k.a.71.6 | yes | 48 | |
228.71 | odd | 18 | 684.2.cf.a.451.3 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.k.a.15.1 | ✓ | 48 | 4.3 | odd | 2 | inner | |
76.2.k.a.15.6 | yes | 48 | 1.1 | even | 1 | trivial | |
76.2.k.a.71.1 | yes | 48 | 19.14 | odd | 18 | inner | |
76.2.k.a.71.6 | yes | 48 | 76.71 | even | 18 | inner | |
684.2.cf.a.91.3 | 48 | 3.2 | odd | 2 | |||
684.2.cf.a.91.8 | 48 | 12.11 | even | 2 | |||
684.2.cf.a.451.3 | 48 | 228.71 | odd | 18 | |||
684.2.cf.a.451.8 | 48 | 57.14 | even | 18 |