Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [539,2,Mod(23,539)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(539, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([38, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("539.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 539 = 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 539.r (of order \(21\), degree \(12\), 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: | \(4.30393666895\) |
Analytic rank: | \(0\) |
Dimension: | \(276\) |
Relative dimension: | \(23\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 23.14 | ||
Character | \(\chi\) | \(=\) | 539.23 |
Dual form | 539.2.r.a.375.14 |
$q$-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 \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(442\) |
\(\chi(n)\) | \(e\left(\frac{19}{21}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0301718 | − | 0.402615i | 0.0213347 | − | 0.284692i | −0.976325 | − | 0.216311i | \(-0.930598\pi\) |
0.997659 | − | 0.0683810i | \(-0.0217834\pi\) | |||||||
\(3\) | −2.74875 | + | 0.847876i | −1.58699 | + | 0.489521i | −0.957729 | − | 0.287673i | \(-0.907118\pi\) |
−0.629261 | + | 0.777194i | \(0.716642\pi\) | |||||||
\(4\) | 1.81647 | + | 0.273789i | 0.908237 | + | 0.136895i | ||||
\(5\) | 2.87831 | + | 2.67068i | 1.28722 | + | 1.19437i | 0.969198 | + | 0.246282i | \(0.0792089\pi\) |
0.318021 | + | 0.948084i | \(0.396982\pi\) | |||||||
\(6\) | 0.258433 | + | 1.13227i | 0.105505 | + | 0.462246i | ||||
\(7\) | 0.132111 | − | 2.64245i | 0.0499332 | − | 0.998753i | ||||
\(8\) | 0.344721 | − | 1.51032i | 0.121877 | − | 0.533979i | ||||
\(9\) | 4.35800 | − | 2.97123i | 1.45267 | − | 0.990411i | ||||
\(10\) | 1.16210 | − | 1.07827i | 0.367488 | − | 0.340979i | ||||
\(11\) | −0.826239 | − | 0.563320i | −0.249120 | − | 0.169847i | ||||
\(12\) | −5.22516 | + | 0.787567i | −1.50837 | + | 0.227351i | ||||
\(13\) | 4.56264 | − | 2.19725i | 1.26545 | − | 0.609408i | 0.323838 | − | 0.946113i | \(-0.395027\pi\) |
0.941610 | + | 0.336705i | \(0.109312\pi\) | |||||||
\(14\) | −1.05990 | − | 0.132917i | −0.283271 | − | 0.0355237i | ||||
\(15\) | −10.1762 | − | 4.90058i | −2.62747 | − | 1.26532i | ||||
\(16\) | 2.91308 | + | 0.898566i | 0.728270 | + | 0.224642i | ||||
\(17\) | −0.457321 | + | 1.16524i | −0.110917 | + | 0.282611i | −0.975545 | − | 0.219802i | \(-0.929459\pi\) |
0.864628 | + | 0.502413i | \(0.167554\pi\) | |||||||
\(18\) | −1.06477 | − | 1.84424i | −0.250969 | − | 0.434692i | ||||
\(19\) | −1.23097 | + | 2.13210i | −0.282403 | + | 0.489137i | −0.971976 | − | 0.235080i | \(-0.924465\pi\) |
0.689573 | + | 0.724216i | \(0.257798\pi\) | |||||||
\(20\) | 4.49717 | + | 5.63927i | 1.00560 | + | 1.26098i | ||||
\(21\) | 1.87733 | + | 7.37544i | 0.409667 | + | 1.60945i | ||||
\(22\) | −0.251730 | + | 0.315660i | −0.0536690 | + | 0.0672988i | ||||
\(23\) | −2.37820 | − | 6.05956i | −0.495889 | − | 1.26351i | −0.931622 | − | 0.363429i | \(-0.881606\pi\) |
0.435733 | − | 0.900076i | \(-0.356489\pi\) | |||||||
\(24\) | 0.333014 | + | 4.44377i | 0.0679763 | + | 0.907080i | ||||
\(25\) | 0.778480 | + | 10.3881i | 0.155696 | + | 2.07762i | ||||
\(26\) | −0.746983 | − | 1.90328i | −0.146495 | − | 0.373264i | ||||
\(27\) | −4.07931 | + | 5.11529i | −0.785063 | + | 0.984438i | ||||
\(28\) | 0.963451 | − | 4.76377i | 0.182075 | − | 0.900268i | ||||
\(29\) | −0.986513 | − | 1.23705i | −0.183191 | − | 0.229714i | 0.681753 | − | 0.731582i | \(-0.261218\pi\) |
−0.864944 | + | 0.501868i | \(0.832646\pi\) | |||||||
\(30\) | −2.28008 | + | 3.94921i | −0.416283 | + | 0.721024i | ||||
\(31\) | 4.28009 | + | 7.41333i | 0.768727 | + | 1.33147i | 0.938254 | + | 0.345948i | \(0.112443\pi\) |
−0.169527 | + | 0.985526i | \(0.554224\pi\) | |||||||
\(32\) | 1.58161 | − | 4.02988i | 0.279592 | − | 0.712390i | ||||
\(33\) | 2.74875 | + | 0.847876i | 0.478495 | + | 0.147596i | ||||
\(34\) | 0.455343 | + | 0.219282i | 0.0780907 | + | 0.0376065i | ||||
\(35\) | 7.43740 | − | 7.25297i | 1.25715 | − | 1.22598i | ||||
\(36\) | 8.72968 | − | 4.20399i | 1.45495 | − | 0.700665i | ||||
\(37\) | 6.87474 | − | 1.03620i | 1.13020 | − | 0.170350i | 0.442794 | − | 0.896623i | \(-0.353987\pi\) |
0.687406 | + | 0.726273i | \(0.258749\pi\) | |||||||
\(38\) | 0.821273 | + | 0.559935i | 0.133228 | + | 0.0908334i | ||||
\(39\) | −10.6785 | + | 9.90824i | −1.70993 | + | 1.58659i | ||||
\(40\) | 5.02580 | − | 3.42653i | 0.794649 | − | 0.541782i | ||||
\(41\) | 0.734637 | − | 3.21866i | 0.114731 | − | 0.502670i | −0.884609 | − | 0.466334i | \(-0.845574\pi\) |
0.999340 | − | 0.0363354i | \(-0.0115685\pi\) | |||||||
\(42\) | 3.02610 | − | 0.533311i | 0.466938 | − | 0.0822917i | ||||
\(43\) | 1.92317 | + | 8.42594i | 0.293280 | + | 1.28494i | 0.879930 | + | 0.475103i | \(0.157589\pi\) |
−0.586650 | + | 0.809841i | \(0.699554\pi\) | |||||||
\(44\) | −1.34661 | − | 1.24947i | −0.203009 | − | 0.188365i | ||||
\(45\) | 20.4789 | + | 3.08670i | 3.05281 | + | 0.460137i | ||||
\(46\) | −2.51142 | + | 0.774671i | −0.370289 | + | 0.114219i | ||||
\(47\) | −0.187050 | + | 2.49601i | −0.0272841 | + | 0.364080i | 0.966805 | + | 0.255515i | \(0.0822449\pi\) |
−0.994089 | + | 0.108566i | \(0.965374\pi\) | |||||||
\(48\) | −8.76919 | −1.26572 | ||||||||
\(49\) | −6.96509 | − | 0.698193i | −0.995013 | − | 0.0997419i | ||||
\(50\) | 4.20589 | 0.594802 | ||||||||
\(51\) | 0.269085 | − | 3.59069i | 0.0376794 | − | 0.502797i | ||||
\(52\) | 8.88949 | − | 2.74205i | 1.23275 | − | 0.380253i | ||||
\(53\) | −8.21063 | − | 1.23755i | −1.12782 | − | 0.169991i | −0.441477 | − | 0.897272i | \(-0.645545\pi\) |
−0.686339 | + | 0.727281i | \(0.740784\pi\) | |||||||
\(54\) | 1.93641 | + | 1.79673i | 0.263512 | + | 0.244504i | ||||
\(55\) | −0.873723 | − | 3.82803i | −0.117813 | − | 0.516172i | ||||
\(56\) | −3.94541 | − | 1.11044i | −0.527227 | − | 0.148388i | ||||
\(57\) | 1.57586 | − | 6.90430i | 0.208728 | − | 0.914497i | ||||
\(58\) | −0.527819 | + | 0.359861i | −0.0693060 | + | 0.0472520i | ||||
\(59\) | −4.53460 | + | 4.20749i | −0.590354 | + | 0.547769i | −0.917770 | − | 0.397112i | \(-0.870013\pi\) |
0.327416 | + | 0.944880i | \(0.393822\pi\) | |||||||
\(60\) | −17.1430 | − | 11.6879i | −2.21315 | − | 1.50890i | ||||
\(61\) | 8.21415 | − | 1.23808i | 1.05171 | − | 0.158520i | 0.399637 | − | 0.916673i | \(-0.369136\pi\) |
0.652077 | + | 0.758153i | \(0.273898\pi\) | |||||||
\(62\) | 3.11386 | − | 1.49955i | 0.395460 | − | 0.190444i | ||||
\(63\) | −7.27560 | − | 11.9083i | −0.916639 | − | 1.50031i | ||||
\(64\) | 3.91847 | + | 1.88703i | 0.489809 | + | 0.235879i | ||||
\(65\) | 19.0009 | + | 5.86099i | 2.35677 | + | 0.726966i | ||||
\(66\) | 0.424302 | − | 1.08110i | 0.0522280 | − | 0.133075i | ||||
\(67\) | −4.50401 | − | 7.80117i | −0.550252 | − | 0.953064i | −0.998256 | − | 0.0590329i | \(-0.981198\pi\) |
0.448004 | − | 0.894032i | \(-0.352135\pi\) | |||||||
\(68\) | −1.14974 | + | 1.99141i | −0.139427 | + | 0.241494i | ||||
\(69\) | 11.6748 | + | 14.6398i | 1.40548 | + | 1.76242i | ||||
\(70\) | −2.69575 | − | 3.21324i | −0.322204 | − | 0.384056i | ||||
\(71\) | −6.14250 | + | 7.70245i | −0.728980 | + | 0.914113i | −0.998809 | − | 0.0487958i | \(-0.984462\pi\) |
0.269828 | + | 0.962908i | \(0.413033\pi\) | |||||||
\(72\) | −2.98522 | − | 7.60622i | −0.351812 | − | 0.896401i | ||||
\(73\) | 0.00959416 | + | 0.128025i | 0.00112291 | + | 0.0149842i | 0.997737 | − | 0.0672359i | \(-0.0214180\pi\) |
−0.996614 | + | 0.0822201i | \(0.973799\pi\) | |||||||
\(74\) | −0.209766 | − | 2.79914i | −0.0243848 | − | 0.325393i | ||||
\(75\) | −10.9477 | − | 27.8942i | −1.26413 | − | 3.22094i | ||||
\(76\) | −2.81976 | + | 3.53587i | −0.323449 | + | 0.405592i | ||||
\(77\) | −1.59770 | + | 2.10887i | −0.182075 | + | 0.240329i | ||||
\(78\) | 3.66701 | + | 4.59829i | 0.415207 | + | 0.520654i | ||||
\(79\) | 1.20441 | − | 2.08610i | 0.135507 | − | 0.234704i | −0.790284 | − | 0.612740i | \(-0.790067\pi\) |
0.925791 | + | 0.378036i | \(0.123400\pi\) | |||||||
\(80\) | 5.98497 | + | 10.3663i | 0.669140 | + | 1.15898i | ||||
\(81\) | 1.09487 | − | 2.78969i | 0.121653 | − | 0.309966i | ||||
\(82\) | −1.27371 | − | 0.392889i | −0.140658 | − | 0.0433873i | ||||
\(83\) | 10.6096 | + | 5.10931i | 1.16455 | + | 0.560820i | 0.913374 | − | 0.407120i | \(-0.133467\pi\) |
0.251180 | + | 0.967940i | \(0.419181\pi\) | |||||||
\(84\) | 1.39081 | + | 13.9113i | 0.151749 | + | 1.51785i | ||||
\(85\) | −4.42829 | + | 2.13255i | −0.480315 | + | 0.231308i | ||||
\(86\) | 3.45043 | − | 0.520069i | 0.372070 | − | 0.0560805i | ||||
\(87\) | 3.76054 | + | 2.56389i | 0.403172 | + | 0.274878i | ||||
\(88\) | −1.13562 | + | 1.05370i | −0.121057 | + | 0.112324i | ||||
\(89\) | −5.65587 | + | 3.85611i | −0.599521 | + | 0.408746i | −0.824700 | − | 0.565571i | \(-0.808656\pi\) |
0.225179 | + | 0.974317i | \(0.427703\pi\) | |||||||
\(90\) | 1.86063 | − | 8.15197i | 0.196128 | − | 0.859293i | ||||
\(91\) | −5.20335 | − | 12.3468i | −0.545460 | − | 1.29430i | ||||
\(92\) | −2.66090 | − | 11.6582i | −0.277418 | − | 1.21545i | ||||
\(93\) | −18.0505 | − | 16.7484i | −1.87175 | − | 1.73673i | ||||
\(94\) | 0.999287 | + | 0.150618i | 0.103069 | + | 0.0155351i | ||||
\(95\) | −9.23726 | + | 2.84932i | −0.947723 | + | 0.292334i | ||||
\(96\) | −0.930611 | + | 12.4181i | −0.0949801 | + | 1.26742i | ||||
\(97\) | −12.5307 | −1.27230 | −0.636148 | − | 0.771567i | \(-0.719473\pi\) | ||||
−0.636148 | + | 0.771567i | \(0.719473\pi\) | |||||||
\(98\) | −0.491252 | + | 2.78318i | −0.0496240 | + | 0.281144i | ||||
\(99\) | −5.27450 | −0.530107 | ||||||||
\(100\) | −1.43006 | + | 19.0828i | −0.143006 | + | 1.90828i | ||||
\(101\) | −17.1221 | + | 5.28148i | −1.70372 | + | 0.525527i | −0.985409 | − | 0.170200i | \(-0.945558\pi\) |
−0.718306 | + | 0.695727i | \(0.755082\pi\) | |||||||
\(102\) | −1.43755 | − | 0.216675i | −0.142338 | − | 0.0214540i | ||||
\(103\) | −6.01562 | − | 5.58168i | −0.592737 | − | 0.549979i | 0.325738 | − | 0.945460i | \(-0.394387\pi\) |
−0.918474 | + | 0.395481i | \(0.870578\pi\) | |||||||
\(104\) | −1.74572 | − | 7.64848i | −0.171182 | − | 0.749996i | ||||
\(105\) | −14.2939 | + | 26.2426i | −1.39494 | + | 2.56101i | ||||
\(106\) | −0.745987 | + | 3.26838i | −0.0724567 | + | 0.317453i | ||||
\(107\) | 6.57327 | − | 4.48158i | 0.635462 | − | 0.433251i | −0.202272 | − | 0.979329i | \(-0.564832\pi\) |
0.837734 | + | 0.546079i | \(0.183880\pi\) | |||||||
\(108\) | −8.81046 | + | 8.17491i | −0.847787 | + | 0.786632i | ||||
\(109\) | 1.89026 | + | 1.28876i | 0.181054 | + | 0.123441i | 0.650456 | − | 0.759544i | \(-0.274578\pi\) |
−0.469402 | + | 0.882985i | \(0.655530\pi\) | |||||||
\(110\) | −1.56758 | + | 0.236275i | −0.149463 | + | 0.0225280i | ||||
\(111\) | −18.0184 | + | 8.67718i | −1.71023 | + | 0.823601i | ||||
\(112\) | 2.75927 | − | 7.57896i | 0.260726 | − | 0.716145i | ||||
\(113\) | −1.24330 | − | 0.598740i | −0.116960 | − | 0.0563247i | 0.374489 | − | 0.927231i | \(-0.377818\pi\) |
−0.491449 | + | 0.870907i | \(0.663532\pi\) | |||||||
\(114\) | −2.73223 | − | 0.842781i | −0.255897 | − | 0.0789336i | ||||
\(115\) | 9.33795 | − | 23.7927i | 0.870768 | − | 2.21868i | ||||
\(116\) | −1.45328 | − | 2.51716i | −0.134934 | − | 0.233713i | ||||
\(117\) | 13.3554 | − | 23.1323i | 1.23471 | − | 2.13858i | ||||
\(118\) | 1.55718 | + | 1.95264i | 0.143350 | + | 0.179755i | ||||
\(119\) | 3.01866 | + | 1.36239i | 0.276720 | + | 0.124890i | ||||
\(120\) | −10.9094 | + | 13.6799i | −0.995885 | + | 1.24880i | ||||
\(121\) | 0.365341 | + | 0.930874i | 0.0332128 | + | 0.0846249i | ||||
\(122\) | −0.250635 | − | 3.34449i | −0.0226914 | − | 0.302796i | ||||
\(123\) | 0.709690 | + | 9.47015i | 0.0639906 | + | 0.853895i | ||||
\(124\) | 5.74498 | + | 14.6380i | 0.515914 | + | 1.31453i | ||||
\(125\) | −13.2620 | + | 16.6300i | −1.18619 | + | 1.48743i | ||||
\(126\) | −5.01399 | + | 2.56997i | −0.446681 | + | 0.228951i | ||||
\(127\) | −6.49092 | − | 8.13935i | −0.575976 | − | 0.722251i | 0.405445 | − | 0.914120i | \(-0.367117\pi\) |
−0.981421 | + | 0.191869i | \(0.938545\pi\) | |||||||
\(128\) | 5.20712 | − | 9.01899i | 0.460249 | − | 0.797174i | ||||
\(129\) | −12.4304 | − | 21.5302i | −1.09444 | − | 1.89563i | ||||
\(130\) | 2.93301 | − | 7.47319i | 0.257242 | − | 0.655442i | ||||
\(131\) | −4.11945 | − | 1.27068i | −0.359918 | − | 0.111020i | 0.109522 | − | 0.993984i | \(-0.465068\pi\) |
−0.469440 | + | 0.882964i | \(0.655544\pi\) | |||||||
\(132\) | 4.76089 | + | 2.29272i | 0.414382 | + | 0.199556i | ||||
\(133\) | 5.47134 | + | 3.53444i | 0.474425 | + | 0.306475i | ||||
\(134\) | −3.27676 | + | 1.57800i | −0.283069 | + | 0.136319i | ||||
\(135\) | −25.4028 | + | 3.82886i | −2.18633 | + | 0.329536i | ||||
\(136\) | 1.60223 | + | 1.09238i | 0.137390 | + | 0.0936710i | ||||
\(137\) | 2.29961 | − | 2.13372i | 0.196469 | − | 0.182296i | −0.575804 | − | 0.817588i | \(-0.695311\pi\) |
0.772272 | + | 0.635292i | \(0.219120\pi\) | |||||||
\(138\) | 6.24644 | − | 4.25875i | 0.531732 | − | 0.362529i | ||||
\(139\) | 4.11922 | − | 18.0475i | 0.349387 | − | 1.53077i | −0.429188 | − | 0.903215i | \(-0.641200\pi\) |
0.778575 | − | 0.627551i | \(-0.215943\pi\) | |||||||
\(140\) | 15.4956 | − | 11.1385i | 1.30962 | − | 0.941379i | ||||
\(141\) | −1.60215 | − | 7.01949i | −0.134926 | − | 0.591148i | ||||
\(142\) | 2.91579 | + | 2.70546i | 0.244688 | + | 0.227037i | ||||
\(143\) | −5.00758 | − | 0.754772i | −0.418755 | − | 0.0631172i | ||||
\(144\) | 15.3650 | − | 4.73949i | 1.28042 | − | 0.394957i | ||||
\(145\) | 0.464272 | − | 6.19527i | 0.0385557 | − | 0.514489i | ||||
\(146\) | 0.0518343 | 0.00428984 | ||||||||
\(147\) | 19.7373 | − | 3.98638i | 1.62790 | − | 0.328791i | ||||
\(148\) | 12.7715 | 1.04981 | ||||||||
\(149\) | 0.924551 | − | 12.3373i | 0.0757422 | − | 1.01071i | −0.821799 | − | 0.569778i | \(-0.807029\pi\) |
0.897541 | − | 0.440931i | \(-0.145352\pi\) | |||||||
\(150\) | −11.5609 | + | 3.56607i | −0.943945 | + | 0.291168i | ||||
\(151\) | 0.324662 | + | 0.0489350i | 0.0264206 | + | 0.00398227i | 0.162239 | − | 0.986751i | \(-0.448128\pi\) |
−0.135819 | + | 0.990734i | \(0.543366\pi\) | |||||||
\(152\) | 2.79581 | + | 2.59413i | 0.226770 | + | 0.210412i | ||||
\(153\) | 1.46918 | + | 6.43690i | 0.118776 | + | 0.520393i | ||||
\(154\) | 0.800859 | + | 0.706887i | 0.0645350 | + | 0.0569625i | ||||
\(155\) | −7.47923 | + | 32.7686i | −0.600746 | + | 2.63204i | ||||
\(156\) | −22.1101 | + | 15.0744i | −1.77022 | + | 1.20692i | ||||
\(157\) | −5.89130 | + | 5.46633i | −0.470177 | + | 0.436261i | −0.879336 | − | 0.476203i | \(-0.842013\pi\) |
0.409158 | + | 0.912463i | \(0.365822\pi\) | |||||||
\(158\) | −0.803554 | − | 0.547854i | −0.0639273 | − | 0.0435849i | ||||
\(159\) | 23.6182 | − | 3.55988i | 1.87305 | − | 0.282317i | ||||
\(160\) | 15.3149 | − | 7.37528i | 1.21075 | − | 0.583067i | ||||
\(161\) | −16.3263 | + | 5.48375i | −1.28669 | + | 0.432180i | ||||
\(162\) | −1.09014 | − | 0.524983i | −0.0856493 | − | 0.0412465i | ||||
\(163\) | −4.77636 | − | 1.47331i | −0.374113 | − | 0.115399i | 0.101996 | − | 0.994785i | \(-0.467477\pi\) |
−0.476109 | + | 0.879386i | \(0.657953\pi\) | |||||||
\(164\) | 2.21568 | − | 5.64547i | 0.173016 | − | 0.440837i | ||||
\(165\) | 5.64734 | + | 9.78148i | 0.439645 | + | 0.761487i | ||||
\(166\) | 2.37720 | − | 4.11742i | 0.184506 | − | 0.319574i | ||||
\(167\) | 9.27406 | + | 11.6293i | 0.717649 | + | 0.899903i | 0.998202 | − | 0.0599355i | \(-0.0190895\pi\) |
−0.280554 | + | 0.959838i | \(0.590518\pi\) | |||||||
\(168\) | 11.7864 | − | 0.292904i | 0.909343 | − | 0.0225980i | ||||
\(169\) | 7.88439 | − | 9.88671i | 0.606492 | − | 0.760516i | ||||
\(170\) | 0.724987 | + | 1.84724i | 0.0556040 | + | 0.141677i | ||||
\(171\) | 0.970406 | + | 12.9492i | 0.0742088 | + | 0.990247i | ||||
\(172\) | 1.18645 | + | 15.8320i | 0.0904657 | + | 1.20718i | ||||
\(173\) | −9.34565 | − | 23.8123i | −0.710536 | − | 1.81042i | −0.572348 | − | 0.820011i | \(-0.693967\pi\) |
−0.138188 | − | 0.990406i | \(-0.544128\pi\) | |||||||
\(174\) | 1.14572 | − | 1.43669i | 0.0868570 | − | 0.108915i | ||||
\(175\) | 27.5529 | − | 0.684714i | 2.08280 | − | 0.0517595i | ||||
\(176\) | −1.90072 | − | 2.38343i | −0.143272 | − | 0.179658i | ||||
\(177\) | 8.89703 | − | 15.4101i | 0.668741 | − | 1.15829i | ||||
\(178\) | 1.38188 | + | 2.39348i | 0.103576 | + | 0.179399i | ||||
\(179\) | 6.17791 | − | 15.7411i | 0.461759 | − | 1.17654i | −0.490552 | − | 0.871412i | \(-0.663205\pi\) |
0.952311 | − | 0.305130i | \(-0.0987000\pi\) | |||||||
\(180\) | 36.3542 | + | 11.2138i | 2.70969 | + | 0.835827i | ||||
\(181\) | 2.32197 | + | 1.11820i | 0.172590 | + | 0.0831151i | 0.518184 | − | 0.855269i | \(-0.326608\pi\) |
−0.345594 | + | 0.938384i | \(0.612322\pi\) | |||||||
\(182\) | −5.12801 | + | 1.72242i | −0.380113 | + | 0.127674i | ||||
\(183\) | −21.5289 | + | 10.3678i | −1.59146 | + | 0.766406i | ||||
\(184\) | −9.97169 | + | 1.50299i | −0.735123 | + | 0.110802i | ||||
\(185\) | 22.5550 | + | 15.3777i | 1.65828 | + | 1.13059i | ||||
\(186\) | −7.28776 | + | 6.76206i | −0.534365 | + | 0.495818i | ||||
\(187\) | 1.03426 | − | 0.705145i | 0.0756324 | − | 0.0515653i | ||||
\(188\) | −1.02315 | + | 4.48272i | −0.0746210 | + | 0.326936i | ||||
\(189\) | 12.9780 | + | 11.4552i | 0.944009 | + | 0.833240i | ||||
\(190\) | 0.868473 | + | 3.80503i | 0.0630056 | + | 0.276046i | ||||
\(191\) | −2.72997 | − | 2.53304i | −0.197534 | − | 0.183284i | 0.575204 | − | 0.818010i | \(-0.304923\pi\) |
−0.772738 | + | 0.634726i | \(0.781113\pi\) | |||||||
\(192\) | −12.3708 | − | 1.86461i | −0.892789 | − | 0.134566i | ||||
\(193\) | 3.00859 | − | 0.928027i | 0.216563 | − | 0.0668008i | −0.184575 | − | 0.982818i | \(-0.559091\pi\) |
0.401138 | + | 0.916018i | \(0.368615\pi\) | |||||||
\(194\) | −0.378073 | + | 5.04503i | −0.0271440 | + | 0.362212i | ||||
\(195\) | −57.1979 | −4.09603 | ||||||||
\(196\) | −12.4607 | − | 3.17522i | −0.890053 | − | 0.226801i | ||||
\(197\) | 20.6121 | 1.46855 | 0.734276 | − | 0.678851i | \(-0.237522\pi\) | ||||
0.734276 | + | 0.678851i | \(0.237522\pi\) | |||||||
\(198\) | −0.159141 | + | 2.12359i | −0.0113097 | + | 0.150917i | ||||
\(199\) | 10.5483 | − | 3.25371i | 0.747748 | − | 0.230650i | 0.102616 | − | 0.994721i | \(-0.467279\pi\) |
0.645132 | + | 0.764071i | \(0.276802\pi\) | |||||||
\(200\) | 15.9577 | + | 2.40524i | 1.12838 | + | 0.170076i | ||||
\(201\) | 18.9948 | + | 17.6246i | 1.33979 | + | 1.24314i | ||||
\(202\) | 1.60980 | + | 7.05297i | 0.113265 | + | 0.496246i | ||||
\(203\) | −3.39917 | + | 2.44338i | −0.238575 | + | 0.171492i | ||||
\(204\) | 1.47188 | − | 6.44872i | 0.103052 | − | 0.451501i | ||||
\(205\) | 10.7105 | − | 7.30231i | 0.748055 | − | 0.510016i | ||||
\(206\) | −2.42877 | + | 2.25357i | −0.169220 | + | 0.157014i | ||||
\(207\) | −28.3685 | − | 19.3413i | −1.97175 | − | 1.34432i | ||||
\(208\) | 15.2657 | − | 2.30094i | 1.05849 | − | 0.159541i | ||||
\(209\) | 2.21813 | − | 1.06819i | 0.153431 | − | 0.0738885i | ||||
\(210\) | 10.1344 | + | 6.54673i | 0.699338 | + | 0.451767i | ||||
\(211\) | 6.47605 | + | 3.11870i | 0.445829 | + | 0.214700i | 0.643309 | − | 0.765607i | \(-0.277561\pi\) |
−0.197479 | + | 0.980307i | \(0.563275\pi\) | |||||||
\(212\) | −14.5756 | − | 4.49597i | −1.00105 | − | 0.308784i | ||||
\(213\) | 10.3534 | − | 26.3802i | 0.709407 | − | 1.80754i | ||||
\(214\) | −1.60602 | − | 2.78171i | −0.109785 | − | 0.190154i | ||||
\(215\) | −16.9675 | + | 29.3886i | −1.15718 | + | 2.00429i | ||||
\(216\) | 6.31950 | + | 7.92441i | 0.429988 | + | 0.539188i | ||||
\(217\) | 20.1548 | − | 10.3305i | 1.36820 | − | 0.701283i | ||||
\(218\) | 0.575906 | − | 0.722163i | 0.0390052 | − | 0.0489110i | ||||
\(219\) | −0.134921 | − | 0.343774i | −0.00911714 | − | 0.0232301i | ||||
\(220\) | −0.539021 | − | 7.19273i | −0.0363408 | − | 0.484934i | ||||
\(221\) | 0.473723 | + | 6.32140i | 0.0318661 | + | 0.425223i | ||||
\(222\) | 2.94991 | + | 7.51626i | 0.197985 | + | 0.504458i | ||||
\(223\) | 7.45304 | − | 9.34582i | 0.499093 | − | 0.625843i | −0.466932 | − | 0.884293i | \(-0.654641\pi\) |
0.966024 | + | 0.258451i | \(0.0832120\pi\) | |||||||
\(224\) | −10.4398 | − | 4.71173i | −0.697540 | − | 0.314816i | ||||
\(225\) | 34.2580 | + | 42.9582i | 2.28387 | + | 2.86388i | ||||
\(226\) | −0.278574 | + | 0.482505i | −0.0185305 | + | 0.0320957i | ||||
\(227\) | −7.14882 | − | 12.3821i | −0.474484 | − | 0.821830i | 0.525089 | − | 0.851047i | \(-0.324032\pi\) |
−0.999573 | + | 0.0292173i | \(0.990699\pi\) | |||||||
\(228\) | 4.75284 | − | 12.1100i | 0.314764 | − | 0.802006i | ||||
\(229\) | −12.0733 | − | 3.72413i | −0.797828 | − | 0.246097i | −0.131071 | − | 0.991373i | \(-0.541842\pi\) |
−0.666757 | + | 0.745276i | \(0.732318\pi\) | |||||||
\(230\) | −9.29755 | − | 4.47747i | −0.613063 | − | 0.295235i | ||||
\(231\) | 2.60361 | − | 7.15141i | 0.171305 | − | 0.470528i | ||||
\(232\) | −2.20841 | + | 1.06351i | −0.144989 | + | 0.0698232i | ||||
\(233\) | −29.8386 | + | 4.49744i | −1.95479 | + | 0.294637i | −0.999997 | − | 0.00263532i | \(-0.999161\pi\) |
−0.954793 | + | 0.297272i | \(0.903923\pi\) | |||||||
\(234\) | −8.91044 | − | 6.07503i | −0.582494 | − | 0.397137i | ||||
\(235\) | −7.20444 | + | 6.68474i | −0.469966 | + | 0.436064i | ||||
\(236\) | −9.38894 | + | 6.40127i | −0.611168 | + | 0.416687i | ||||
\(237\) | −1.54186 | + | 6.75534i | −0.100155 | + | 0.438806i | ||||
\(238\) | 0.639597 | − | 1.17425i | 0.0414589 | − | 0.0761154i | ||||
\(239\) | 4.56351 | + | 19.9940i | 0.295189 | + | 1.29331i | 0.877200 | + | 0.480126i | \(0.159409\pi\) |
−0.582011 | + | 0.813181i | \(0.697734\pi\) | |||||||
\(240\) | −25.2405 | − | 23.4197i | −1.62926 | − | 1.51174i | ||||
\(241\) | −29.1955 | − | 4.40052i | −1.88065 | − | 0.283462i | −0.894218 | − | 0.447632i | \(-0.852267\pi\) |
−0.986432 | + | 0.164170i | \(0.947506\pi\) | |||||||
\(242\) | 0.385807 | − | 0.119006i | 0.0248006 | − | 0.00764997i | ||||
\(243\) | 0.822593 | − | 10.9767i | 0.0527693 | − | 0.704158i | ||||
\(244\) | 15.2598 | 0.976905 | ||||||||
\(245\) | −18.1831 | − | 20.6112i | −1.16167 | − | 1.31680i | ||||
\(246\) | 3.83424 | 0.244462 | ||||||||
\(247\) | −0.931705 | + | 12.4327i | −0.0592829 | + | 0.791076i | ||||
\(248\) | 12.6719 | − | 3.90878i | 0.804669 | − | 0.248208i | ||||
\(249\) | −33.4952 | − | 5.04858i | −2.12267 | − | 0.319941i | ||||
\(250\) | 6.29535 | + | 5.84123i | 0.398153 | + | 0.369432i | ||||
\(251\) | 0.771998 | + | 3.38235i | 0.0487281 | + | 0.213492i | 0.993430 | − | 0.114437i | \(-0.0365065\pi\) |
−0.944702 | + | 0.327929i | \(0.893649\pi\) | |||||||
\(252\) | −9.95555 | − | 23.6231i | −0.627141 | − | 1.48812i | ||||
\(253\) | −1.44851 | + | 6.34633i | −0.0910669 | + | 0.398990i | ||||
\(254\) | −3.47287 | + | 2.36776i | −0.217907 | + | 0.148566i | ||||
\(255\) | 10.3641 | − | 9.61648i | 0.649025 | − | 0.602207i | ||||
\(256\) | 3.71284 | + | 2.53137i | 0.232052 | + | 0.158211i | ||||
\(257\) | −4.74353 | + | 0.714972i | −0.295893 | + | 0.0445987i | −0.295311 | − | 0.955401i | \(-0.595423\pi\) |
−0.000582008 | 1.00000i | \(0.500185\pi\) | ||||||||
\(258\) | −9.04341 | + | 4.35508i | −0.563018 | + | 0.271135i | ||||
\(259\) | −1.82988 | − | 18.3031i | −0.113703 | − | 1.13730i | ||||
\(260\) | 32.9099 | + | 15.8486i | 2.04098 | + | 0.982886i | ||||
\(261\) | −7.97478 | − | 2.45989i | −0.493626 | − | 0.152264i | ||||
\(262\) | −0.635887 | + | 1.62021i | −0.0392852 | + | 0.100097i | ||||
\(263\) | 2.15497 | + | 3.73252i | 0.132881 | + | 0.230157i | 0.924786 | − | 0.380487i | \(-0.124244\pi\) |
−0.791905 | + | 0.610645i | \(0.790910\pi\) | |||||||
\(264\) | 2.22811 | − | 3.85921i | 0.137131 | − | 0.237518i | ||||
\(265\) | −20.3276 | − | 25.4900i | −1.24872 | − | 1.56584i | ||||
\(266\) | 1.58810 | − | 2.09620i | 0.0973726 | − | 0.128526i | ||||
\(267\) | 12.2770 | − | 15.3949i | 0.751343 | − | 0.942154i | ||||
\(268\) | −6.04553 | − | 15.4038i | −0.369290 | − | 0.940935i | ||||
\(269\) | 1.02401 | + | 13.6644i | 0.0624348 | + | 0.833134i | 0.937246 | + | 0.348670i | \(0.113366\pi\) |
−0.874811 | + | 0.484464i | \(0.839015\pi\) | |||||||
\(270\) | 0.775106 | + | 10.3431i | 0.0471715 | + | 0.629460i | ||||
\(271\) | 6.01355 | + | 15.3223i | 0.365297 | + | 0.930762i | 0.988841 | + | 0.148973i | \(0.0475969\pi\) |
−0.623544 | + | 0.781788i | \(0.714308\pi\) | |||||||
\(272\) | −2.37926 | + | 2.98349i | −0.144264 | + | 0.180901i | ||||
\(273\) | 24.7713 | + | 29.5265i | 1.49923 | + | 1.78703i | ||||
\(274\) | −0.789685 | − | 0.990233i | −0.0477066 | − | 0.0598222i | ||||
\(275\) | 5.20861 | − | 9.02157i | 0.314091 | − | 0.544021i | ||||
\(276\) | 17.1988 | + | 29.7892i | 1.03525 | + | 1.79310i | ||||
\(277\) | −0.537515 | + | 1.36956i | −0.0322961 | + | 0.0822892i | −0.946112 | − | 0.323839i | \(-0.895026\pi\) |
0.913816 | + | 0.406129i | \(0.133121\pi\) | |||||||
\(278\) | −7.14189 | − | 2.20298i | −0.428342 | − | 0.132126i | ||||
\(279\) | 40.6793 | + | 19.5901i | 2.43541 | + | 1.17283i | ||||
\(280\) | −8.39048 | − | 13.7331i | −0.501427 | − | 0.820710i | ||||
\(281\) | −3.38202 | + | 1.62869i | −0.201754 | + | 0.0971597i | −0.532033 | − | 0.846724i | \(-0.678572\pi\) |
0.330278 | + | 0.943884i | \(0.392857\pi\) | |||||||
\(282\) | −2.87449 | + | 0.433260i | −0.171173 | + | 0.0258003i | ||||
\(283\) | −3.78832 | − | 2.58283i | −0.225192 | − | 0.153534i | 0.445469 | − | 0.895298i | \(-0.353037\pi\) |
−0.670661 | + | 0.741764i | \(0.733989\pi\) | |||||||
\(284\) | −13.2665 | + | 12.3095i | −0.787224 | + | 0.730437i | ||||
\(285\) | 22.9750 | − | 15.6641i | 1.36092 | − | 0.927861i | ||||
\(286\) | −0.454970 | + | 1.99335i | −0.0269030 | + | 0.117870i | ||||
\(287\) | −8.40809 | − | 2.36646i | −0.496314 | − | 0.139688i | ||||
\(288\) | −5.08106 | − | 22.2616i | −0.299404 | − | 1.31178i | ||||
\(289\) | 11.3133 | + | 10.4972i | 0.665485 | + | 0.617480i | ||||
\(290\) | −2.48030 | − | 0.373845i | −0.145648 | − | 0.0219529i | ||||
\(291\) | 34.4436 | − | 10.6244i | 2.01912 | − | 0.622816i | ||||
\(292\) | −0.0176244 | + | 0.235181i | −0.00103139 | + | 0.0137629i | ||||
\(293\) | −21.9587 | −1.28284 | −0.641420 | − | 0.767190i | \(-0.721654\pi\) | ||||
−0.641420 | + | 0.767190i | \(0.721654\pi\) | |||||||
\(294\) | −1.00947 | − | 8.06679i | −0.0588733 | − | 0.470465i | ||||
\(295\) | −24.2888 | −1.41415 | ||||||||
\(296\) | 0.804871 | − | 10.7403i | 0.0467822 | − | 0.624265i | ||||
\(297\) | 6.25203 | − | 1.92849i | 0.362779 | − | 0.111903i | ||||
\(298\) | −4.93928 | − | 0.744476i | −0.286125 | − | 0.0431263i | ||||
\(299\) | −24.1652 | − | 22.4221i | −1.39751 | − | 1.29670i | ||||
\(300\) | −12.2490 | − | 53.6664i | −0.707196 | − | 3.09843i | ||||
\(301\) | 22.5192 | − | 3.96871i | 1.29799 | − | 0.228753i | ||||
\(302\) | 0.0294976 | − | 0.129237i | 0.00169740 | − | 0.00743678i | ||||
\(303\) | 42.5864 | − | 29.0349i | 2.44652 | − | 1.66801i | ||||
\(304\) | −5.50174 | + | 5.10487i | −0.315546 | + | 0.292784i | ||||
\(305\) | 26.9494 | + | 18.3738i | 1.54312 | + | 1.05208i | ||||
\(306\) | 2.63592 | − | 0.397301i | 0.150685 | − | 0.0227122i | ||||
\(307\) | −28.4458 | + | 13.6988i | −1.62349 | + | 0.781831i | −1.00000 | 1.56746e-6i | \(-1.00000\pi\) | |
−0.623489 | + | 0.781832i | \(0.714285\pi\) | |||||||
\(308\) | −3.47957 | + | 3.39328i | −0.198267 | + | 0.193350i | ||||
\(309\) | 21.2680 | + | 10.2421i | 1.20989 | + | 0.582654i | ||||
\(310\) | 12.9675 | + | 3.99994i | 0.736503 | + | 0.227181i | ||||
\(311\) | −8.42336 | + | 21.4624i | −0.477645 | + | 1.21702i | 0.465622 | + | 0.884984i | \(0.345831\pi\) |
−0.943267 | + | 0.332035i | \(0.892265\pi\) | |||||||
\(312\) | 11.2835 | + | 19.5436i | 0.638802 | + | 1.10644i | ||||
\(313\) | −15.5108 | + | 26.8655i | −0.876724 | + | 1.51853i | −0.0218089 | + | 0.999762i | \(0.506943\pi\) |
−0.854915 | + | 0.518768i | \(0.826391\pi\) | |||||||
\(314\) | 2.02307 | + | 2.53686i | 0.114169 | + | 0.143163i | ||||
\(315\) | 10.8619 | − | 53.7067i | 0.612000 | − | 3.02603i | ||||
\(316\) | 2.75893 | − | 3.45958i | 0.155202 | − | 0.194617i | ||||
\(317\) | −1.54153 | − | 3.92776i | −0.0865810 | − | 0.220605i | 0.881025 | − | 0.473070i | \(-0.156854\pi\) |
−0.967606 | + | 0.252465i | \(0.918759\pi\) | |||||||
\(318\) | −0.720654 | − | 9.61646i | −0.0404123 | − | 0.539264i | ||||
\(319\) | 0.118241 | + | 1.57782i | 0.00662024 | + | 0.0883410i | ||||
\(320\) | 6.23890 | + | 15.8965i | 0.348765 | + | 0.888639i | ||||
\(321\) | −14.2684 | + | 17.8920i | −0.796386 | + | 0.998637i | ||||
\(322\) | 1.71524 | + | 6.73865i | 0.0955868 | + | 0.375530i | ||||
\(323\) | −1.92145 | − | 2.40942i | −0.106912 | − | 0.134064i | ||||
\(324\) | 2.75260 | − | 4.76764i | 0.152922 | − | 0.264869i | ||||
\(325\) | 26.3772 | + | 45.6866i | 1.46314 | + | 2.53424i | ||||
\(326\) | −0.737289 | + | 1.87858i | −0.0408346 | + | 0.104045i | ||||
\(327\) | −6.28855 | − | 1.93976i | −0.347758 | − | 0.107269i | ||||
\(328\) | −4.60796 | − | 2.21908i | −0.254432 | − | 0.122528i | ||||
\(329\) | 6.57087 | + | 0.824021i | 0.362264 | + | 0.0454297i | ||||
\(330\) | 4.10856 | − | 1.97858i | 0.226169 | − | 0.108917i | ||||
\(331\) | −5.68440 | + | 0.856785i | −0.312443 | + | 0.0470932i | −0.303392 | − | 0.952866i | \(-0.598119\pi\) |
−0.00905084 | + | 0.999959i | \(0.502881\pi\) | |||||||
\(332\) | 17.8732 | + | 12.1857i | 0.980918 | + | 0.668779i | ||||
\(333\) | 26.8813 | − | 24.9422i | 1.47309 | − | 1.36682i | ||||
\(334\) | 4.96195 | − | 3.38300i | 0.271506 | − | 0.185109i | ||||
\(335\) | 7.87051 | − | 34.4830i | 0.430012 | − | 1.88401i | ||||
\(336\) | −1.15851 | + | 23.1722i | −0.0632017 | + | 1.26415i | ||||
\(337\) | −7.45602 | − | 32.6670i | −0.406155 | − | 1.77948i | −0.601631 | − | 0.798774i | \(-0.705482\pi\) |
0.195475 | − | 0.980709i | \(-0.437375\pi\) | |||||||
\(338\) | −3.74265 | − | 3.47267i | −0.203573 | − | 0.188888i | ||||
\(339\) | 3.92517 | + | 0.591623i | 0.213186 | + | 0.0321326i | ||||
\(340\) | −8.62774 | + | 2.66130i | −0.467905 | + | 0.144329i | ||||
\(341\) | 0.639703 | − | 8.53624i | 0.0346419 | − | 0.462263i | ||||
\(342\) | 5.24280 | 0.283498 | ||||||||
\(343\) | −2.76511 | + | 18.3127i | −0.149302 | + | 0.988792i | ||||
\(344\) | 13.3888 | 0.721877 | ||||||||
\(345\) | −5.49439 | + | 73.3176i | −0.295808 | + | 3.94728i | ||||
\(346\) | −9.86917 | + | 3.04423i | −0.530570 | + | 0.163659i | ||||
\(347\) | 1.04326 | + | 0.157246i | 0.0560052 | + | 0.00844143i | 0.176985 | − | 0.984214i | \(-0.443366\pi\) |
−0.120980 | + | 0.992655i | \(0.538604\pi\) | |||||||
\(348\) | 6.12895 | + | 5.68684i | 0.328546 | + | 0.304846i | ||||
\(349\) | 0.142310 | + | 0.623499i | 0.00761766 | + | 0.0333751i | 0.978594 | − | 0.205801i | \(-0.0659799\pi\) |
−0.970976 | + | 0.239176i | \(0.923123\pi\) | |||||||
\(350\) | 0.555644 | − | 11.1138i | 0.0297004 | − | 0.594060i | ||||
\(351\) | −7.37283 | + | 32.3025i | −0.393532 | + | 1.72418i | ||||
\(352\) | −3.57691 | + | 2.43869i | −0.190650 | + | 0.129983i | ||||
\(353\) | −3.35209 | + | 3.11029i | −0.178414 | + | 0.165544i | −0.764325 | − | 0.644832i | \(-0.776927\pi\) |
0.585911 | + | 0.810376i | \(0.300737\pi\) | |||||||
\(354\) | −5.93589 | − | 4.04702i | −0.315489 | − | 0.215097i | ||||
\(355\) | −38.2508 | + | 5.76538i | −2.03014 | + | 0.305995i | ||||
\(356\) | −11.3295 | + | 5.45600i | −0.600462 | + | 0.289167i | ||||
\(357\) | −9.45267 | − | 1.18541i | −0.500288 | − | 0.0627387i | ||||
\(358\) | −6.15119 | − | 2.96225i | −0.325100 | − | 0.156560i | ||||
\(359\) | 21.6581 | + | 6.68063i | 1.14307 | + | 0.352590i | 0.807756 | − | 0.589517i | \(-0.200682\pi\) |
0.335313 | + | 0.942107i | \(0.391158\pi\) | |||||||
\(360\) | 11.7214 | − | 29.8656i | 0.617772 | − | 1.57406i | ||||
\(361\) | 6.46944 | + | 11.2054i | 0.340497 | + | 0.589758i | ||||
\(362\) | 0.520262 | − | 0.901120i | 0.0273443 | − | 0.0473618i | ||||
\(363\) | −1.79350 | − | 2.24897i | −0.0941341 | − | 0.118040i | ||||
\(364\) | −6.07132 | − | 23.8523i | −0.318224 | − | 1.25020i | ||||
\(365\) | −0.314299 | + | 0.394119i | −0.0164512 | + | 0.0206291i | ||||
\(366\) | 3.52465 | + | 8.98065i | 0.184236 | + | 0.469426i | ||||
\(367\) | −0.560833 | − | 7.48379i | −0.0292752 | − | 0.390651i | −0.992525 | − | 0.122043i | \(-0.961055\pi\) |
0.963250 | − | 0.268608i | \(-0.0865636\pi\) | |||||||
\(368\) | −1.48298 | − | 19.7890i | −0.0773055 | − | 1.03157i | ||||
\(369\) | −6.36183 | − | 16.2097i | −0.331184 | − | 0.843842i | ||||
\(370\) | 6.87183 | − | 8.61700i | 0.357250 | − | 0.447977i | ||||
\(371\) | −4.35489 | + | 21.5327i | −0.226095 | + | 1.11792i | ||||
\(372\) | −28.2027 | − | 35.3650i | −1.46224 | − | 1.83359i | ||||
\(373\) | −7.51728 | + | 13.0203i | −0.389230 | + | 0.674166i | −0.992346 | − | 0.123487i | \(-0.960592\pi\) |
0.603116 | + | 0.797653i | \(0.293925\pi\) | |||||||
\(374\) | −0.252696 | − | 0.437683i | −0.0130666 | − | 0.0226320i | ||||
\(375\) | 22.3537 | − | 56.9562i | 1.15434 | − | 2.94120i | ||||
\(376\) | 3.70529 | + | 1.14293i | 0.191086 | + | 0.0589422i | ||||
\(377\) | −7.21921 | − | 3.47659i | −0.371808 | − | 0.179053i | ||||
\(378\) | 5.00358 | − | 4.87950i | 0.257357 | − | 0.250975i | ||||
\(379\) | 4.36405 | − | 2.10161i | 0.224166 | − | 0.107953i | −0.318430 | − | 0.947946i | \(-0.603156\pi\) |
0.542596 | + | 0.839994i | \(0.317441\pi\) | |||||||
\(380\) | −17.5593 | + | 2.64665i | −0.900776 | + | 0.135770i | ||||
\(381\) | 24.7430 | + | 16.8695i | 1.26762 | + | 0.864252i | ||||
\(382\) | −1.10221 | + | 1.02270i | −0.0563939 | + | 0.0523259i | ||||
\(383\) | 0.749099 | − | 0.510727i | 0.0382772 | − | 0.0260969i | −0.544030 | − | 0.839066i | \(-0.683102\pi\) |
0.582307 | + | 0.812969i | \(0.302150\pi\) | |||||||
\(384\) | −6.66606 | + | 29.2059i | −0.340176 | + | 1.49041i | ||||
\(385\) | −10.2308 | + | 1.80305i | −0.521411 | + | 0.0918917i | ||||
\(386\) | −0.282863 | − | 1.23930i | −0.0143973 | − | 0.0630789i | ||||
\(387\) | 33.4166 | + | 31.0060i | 1.69866 | + | 1.57613i | ||||
\(388\) | −22.7616 | − | 3.43076i | −1.15555 | − | 0.174171i | ||||
\(389\) | 11.4858 | − | 3.54291i | 0.582355 | − | 0.179633i | 0.0104400 | − | 0.999946i | \(-0.496677\pi\) |
0.571915 | + | 0.820313i | \(0.306201\pi\) | |||||||
\(390\) | −1.72576 | + | 23.0287i | −0.0873875 | + | 1.16610i | ||||
\(391\) | 8.14842 | 0.412083 | ||||||||
\(392\) | −3.45551 | + | 10.2788i | −0.174530 | + | 0.519160i | ||||
\(393\) | 12.4007 | 0.625533 | ||||||||
\(394\) | 0.621905 | − | 8.29875i | 0.0313311 | − | 0.418085i | ||||
\(395\) | 9.03796 | − | 2.78784i | 0.454749 | − | 0.140272i | ||||
\(396\) | −9.58099 | − | 1.44410i | −0.481463 | − | 0.0725688i | ||||
\(397\) | 25.4435 | + | 23.6081i | 1.27697 | + | 1.18486i | 0.972646 | + | 0.232291i | \(0.0746220\pi\) |
0.304327 | + | 0.952568i | \(0.401568\pi\) | |||||||
\(398\) | −0.991733 | − | 4.34506i | −0.0497111 | − | 0.217798i | ||||
\(399\) | −18.0361 | − | 5.07627i | −0.902934 | − | 0.254131i | ||||
\(400\) | −7.06661 | + | 30.9609i | −0.353331 | + | 1.54804i | ||||
\(401\) | 9.99535 | − | 6.81471i | 0.499144 | − | 0.340310i | −0.287435 | − | 0.957800i | \(-0.592803\pi\) |
0.786579 | + | 0.617490i | \(0.211850\pi\) | |||||||
\(402\) | 7.66903 | − | 7.11582i | 0.382496 | − | 0.354905i | ||||
\(403\) | 35.8175 | + | 24.4199i | 1.78419 | + | 1.21644i | ||||
\(404\) | −32.5479 | + | 4.90581i | −1.61932 | + | 0.244073i | ||||
\(405\) | 10.6018 | − | 5.10555i | 0.526806 | − | 0.253697i | ||||
\(406\) | 0.881184 | + | 1.44228i | 0.0437324 | + | 0.0715790i | ||||
\(407\) | −6.26389 | − | 3.01653i | −0.310490 | − | 0.149524i | ||||
\(408\) | −5.33033 | − | 1.64419i | −0.263891 | − | 0.0813995i | ||||
\(409\) | 9.79835 | − | 24.9658i | 0.484497 | − | 1.23448i | −0.454560 | − | 0.890716i | \(-0.650203\pi\) |
0.939057 | − | 0.343762i | \(-0.111701\pi\) | |||||||
\(410\) | −2.61686 | − | 4.53254i | −0.129238 | − | 0.223846i | ||||
\(411\) | −4.51190 | + | 7.81484i | −0.222556 | + | 0.385478i | ||||
\(412\) | −9.39901 | − | 11.7860i | −0.463056 | − | 0.580654i | ||||
\(413\) | 10.5190 | + | 12.5383i | 0.517607 | + | 0.616970i | ||||
\(414\) | −8.64304 | + | 10.8380i | −0.424782 | + | 0.532660i | ||||
\(415\) | 16.8924 | + | 43.0411i | 0.829214 | + | 2.11280i | ||||
\(416\) | −1.63834 | − | 21.8621i | −0.0803262 | − | 1.07188i | ||||
\(417\) | 3.97933 | + | 53.1005i | 0.194869 | + | 2.60034i | ||||
\(418\) | −0.363145 | − | 0.925280i | −0.0177620 | − | 0.0452569i | ||||
\(419\) | 19.7247 | − | 24.7340i | 0.963616 | − | 1.20834i | −0.0144185 | − | 0.999896i | \(-0.504590\pi\) |
0.978035 | − | 0.208441i | \(-0.0668389\pi\) | |||||||
\(420\) | −33.1495 | + | 43.7554i | −1.61753 | + | 2.13504i | ||||
\(421\) | −0.749548 | − | 0.939903i | −0.0365307 | − | 0.0458081i | 0.763231 | − | 0.646126i | \(-0.223612\pi\) |
−0.799761 | + | 0.600318i | \(0.795041\pi\) | |||||||
\(422\) | 1.45103 | − | 2.51326i | 0.0706350 | − | 0.122343i | ||||
\(423\) | 6.60106 | + | 11.4334i | 0.320955 | + | 0.555910i | ||||
\(424\) | −4.69948 | + | 11.9741i | −0.228227 | + | 0.581512i | ||||
\(425\) | −12.4606 | − | 3.84358i | −0.604427 | − | 0.186441i | ||||
\(426\) | −10.3087 | − | 4.96439i | −0.499456 | − | 0.240525i | ||||
\(427\) | −2.18640 | − | 21.8690i | −0.105807 | − | 1.05832i | ||||
\(428\) | 13.1672 | − | 6.34098i | 0.636460 | − | 0.306503i | ||||
\(429\) | 14.4045 | − | 2.17113i | 0.695457 | − | 0.104823i | ||||
\(430\) | 11.3204 | + | 7.71809i | 0.545916 | + | 0.372199i | ||||
\(431\) | 5.17064 | − | 4.79766i | 0.249061 | − | 0.231095i | −0.545756 | − | 0.837944i | \(-0.683757\pi\) |
0.794817 | + | 0.606849i | \(0.207567\pi\) | |||||||
\(432\) | −16.4798 | + | 11.2357i | −0.792884 | + | 0.540579i | ||||
\(433\) | −3.81884 | + | 16.7314i | −0.183522 | + | 0.804061i | 0.796415 | + | 0.604751i | \(0.206727\pi\) |
−0.979936 | + | 0.199310i | \(0.936130\pi\) | |||||||
\(434\) | −3.55112 | − | 8.42632i | −0.170459 | − | 0.404476i | ||||
\(435\) | 3.97666 | + | 17.4229i | 0.190666 | + | 0.835363i | ||||
\(436\) | 3.08076 | + | 2.85853i | 0.147542 | + | 0.136899i | ||||
\(437\) | 15.8471 | + | 2.38856i | 0.758067 | + | 0.114260i | ||||
\(438\) | −0.142479 | + | 0.0439490i | −0.00680793 | + | 0.00209997i | ||||
\(439\) | −0.0252701 | + | 0.337206i | −0.00120608 | + | 0.0160940i | −0.997774 | − | 0.0666807i | \(-0.978759\pi\) |
0.996568 | + | 0.0827746i | \(0.0263782\pi\) | |||||||
\(440\) | −6.08274 | −0.289983 | ||||||||
\(441\) | −32.4284 | + | 17.6522i | −1.54421 | + | 0.840580i | ||||
\(442\) | 2.55938 | 0.121737 | ||||||||
\(443\) | −0.949641 | + | 12.6721i | −0.0451188 | + | 0.602068i | 0.928121 | + | 0.372278i | \(0.121423\pi\) |
−0.973240 | + | 0.229791i | \(0.926196\pi\) | |||||||
\(444\) | −35.1056 | + | 10.8286i | −1.66604 | + | 0.513904i | ||||
\(445\) | −26.5778 | − | 4.00596i | −1.25991 | − | 0.189900i | ||||
\(446\) | −3.53789 | − | 3.28269i | −0.167524 | − | 0.155440i | ||||
\(447\) | 7.91913 | + | 34.6960i | 0.374562 | + | 1.64106i | ||||
\(448\) | 5.50407 | − | 10.1051i | 0.260043 | − | 0.477419i | ||||
\(449\) | 2.63022 | − | 11.5238i | 0.124128 | − | 0.543840i | −0.874175 | − | 0.485610i | \(-0.838597\pi\) |
0.998303 | − | 0.0582294i | \(-0.0185455\pi\) | |||||||
\(450\) | 18.3292 | − | 12.4967i | 0.864049 | − | 0.589098i | ||||
\(451\) | −2.42012 | + | 2.24554i | −0.113959 | + | 0.105738i | ||||
\(452\) | −2.09449 | − | 1.42800i | −0.0985164 | − | 0.0671673i | ||||
\(453\) | −0.933905 | + | 0.140764i | −0.0438787 | + | 0.00661365i | ||||
\(454\) | −5.20091 | + | 2.50463i | −0.244091 | + | 0.117548i | ||||
\(455\) | 17.9976 | − | 49.4345i | 0.843740 | − | 2.31753i | ||||
\(456\) | −9.88448 | − | 4.76011i | −0.462883 | − | 0.222913i | ||||
\(457\) | 3.74304 | + | 1.15458i | 0.175092 | + | 0.0540088i | 0.381062 | − | 0.924550i | \(-0.375559\pi\) |
−0.205969 | + | 0.978558i | \(0.566035\pi\) | |||||||
\(458\) | −1.86366 | + | 4.74854i | −0.0870833 | + | 0.221885i | ||||
\(459\) | −4.09496 | − | 7.09268i | −0.191137 | − | 0.331058i | ||||
\(460\) | 23.4763 | − | 40.6622i | 1.09459 | − | 1.89588i | ||||
\(461\) | −0.206508 | − | 0.258952i | −0.00961802 | − | 0.0120606i | 0.776999 | − | 0.629502i | \(-0.216741\pi\) |
−0.786617 | + | 0.617441i | \(0.788169\pi\) | |||||||
\(462\) | −2.80071 | − | 1.26402i | −0.130301 | − | 0.0588077i | ||||
\(463\) | 25.7258 | − | 32.2592i | 1.19558 | − | 1.49921i | 0.375639 | − | 0.926766i | \(-0.377423\pi\) |
0.819943 | − | 0.572446i | \(-0.194005\pi\) | |||||||
\(464\) | −1.76222 | − | 4.49007i | −0.0818091 | − | 0.208446i | ||||
\(465\) | −7.22524 | − | 96.4141i | −0.335062 | − | 4.47110i | ||||
\(466\) | 0.910452 | + | 12.1491i | 0.0421759 | + | 0.562798i | ||||
\(467\) | 4.47046 | + | 11.3905i | 0.206868 | + | 0.527091i | 0.996222 | − | 0.0868476i | \(-0.0276793\pi\) |
−0.789353 | + | 0.613939i | \(0.789584\pi\) | |||||||
\(468\) | 30.5931 | − | 38.3626i | 1.41417 | − | 1.77331i | ||||
\(469\) | −21.2092 | + | 10.8710i | −0.979351 | + | 0.501976i | ||||
\(470\) | 2.47400 | + | 3.10230i | 0.114117 | + | 0.143099i | ||||
\(471\) | 11.5589 | − | 20.0207i | 0.532607 | − | 0.922503i | ||||
\(472\) | 4.79149 | + | 8.29910i | 0.220546 | + | 0.381997i | ||||
\(473\) | 3.15751 | − | 8.04520i | 0.145182 | − | 0.369919i | ||||
\(474\) | 2.67328 | + | 0.824597i | 0.122788 | + | 0.0378750i | ||||
\(475\) | −23.1067 | − | 11.1276i | −1.06021 | − | 0.510569i | ||||
\(476\) | 5.11031 | + | 3.30122i | 0.234231 | + | 0.151311i | ||||
\(477\) | −39.4590 | + | 19.0024i | −1.80670 | + | 0.870062i | ||||
\(478\) | 8.18759 | − | 1.23408i | 0.374492 | − | 0.0564455i | ||||
\(479\) | −0.0217442 | − | 0.0148249i | −0.000993516 | − | 0.000677368i | 0.562823 | − | 0.826577i | \(-0.309715\pi\) |
−0.563817 | + | 0.825900i | \(0.690668\pi\) | |||||||
\(480\) | −35.8435 | + | 33.2579i | −1.63602 | + | 1.51801i | ||||
\(481\) | 29.0902 | − | 19.8333i | 1.32640 | − | 0.904322i | ||||
\(482\) | −2.65260 | + | 11.6218i | −0.120822 | + | 0.529358i | ||||
\(483\) | 40.2272 | − | 28.9161i | 1.83040 | − | 1.31573i | ||||
\(484\) | 0.408769 | + | 1.79093i | 0.0185804 | + | 0.0814061i | ||||
\(485\) | −36.0671 | − | 33.4654i | −1.63772 | − | 1.51959i | ||||
\(486\) | −4.39458 | − | 0.662376i | −0.199342 | − | 0.0300460i | ||||
\(487\) | −22.3400 | + | 6.89098i | −1.01232 | + | 0.312260i | −0.756169 | − | 0.654376i | \(-0.772931\pi\) |
−0.256153 | + | 0.966636i | \(0.582455\pi\) | |||||||
\(488\) | 0.961684 | − | 12.8328i | 0.0435334 | − | 0.580913i | ||||
\(489\) | 14.3782 | 0.650204 | ||||||||
\(490\) | −8.84698 | + | 6.69889i | −0.399666 | + | 0.302625i | ||||
\(491\) | −42.2631 | −1.90731 | −0.953653 | − | 0.300909i | \(-0.902710\pi\) | ||||
−0.953653 | + | 0.300909i | \(0.902710\pi\) | |||||||
\(492\) | −1.30369 | + | 17.3966i | −0.0587751 | + | 0.784299i | ||||
\(493\) | 1.89261 | − | 0.583792i | 0.0852387 | − | 0.0262927i | ||||
\(494\) | 4.97749 | + | 0.750236i | 0.223948 | + | 0.0337547i | ||||
\(495\) | −15.1817 | − | 14.0865i | −0.682365 | − | 0.633142i | ||||
\(496\) | 5.80687 | + | 25.4416i | 0.260736 | + | 1.14236i | ||||
\(497\) | 19.5419 | + | 17.2488i | 0.876572 | + | 0.773716i | ||||
\(498\) | −3.04324 | + | 13.3333i | −0.136371 | + | 0.597480i | ||||
\(499\) | 7.16202 | − | 4.88298i | 0.320616 | − | 0.218592i | −0.392307 | − | 0.919834i | \(-0.628323\pi\) |
0.712924 | + | 0.701242i | \(0.247371\pi\) | |||||||
\(500\) | −28.6432 | + | 26.5770i | −1.28096 | + | 1.18856i | ||||
\(501\) | −35.3523 | − | 24.1028i | −1.57942 | − | 1.07683i | ||||
\(502\) | 1.38508 | − | 0.208766i | 0.0618189 | − | 0.00931770i | ||||
\(503\) | −13.3898 | + | 6.44819i | −0.597022 | + | 0.287511i | −0.707888 | − | 0.706325i | \(-0.750352\pi\) |
0.110866 | + | 0.993835i | \(0.464638\pi\) | |||||||
\(504\) | −20.4934 | + | 6.88343i | −0.912850 | + | 0.306612i | ||||
\(505\) | −63.3880 | − | 30.5260i | −2.82073 | − | 1.35839i | ||||
\(506\) | 2.51142 | + | 0.774671i | 0.111646 | + | 0.0344383i | ||||
\(507\) | −13.2895 | + | 33.8611i | −0.590207 | + | 1.50382i | ||||
\(508\) | −9.56211 | − | 16.5621i | −0.424250 | − | 0.734823i | ||||
\(509\) | −0.140879 | + | 0.244010i | −0.00624436 | + | 0.0108156i | −0.869131 | − | 0.494582i | \(-0.835321\pi\) |
0.862886 | + | 0.505398i | \(0.168654\pi\) | |||||||
\(510\) | −3.55903 | − | 4.46289i | −0.157597 | − | 0.197620i | ||||
\(511\) | 0.339568 | − | 0.00843857i | 0.0150216 | − | 0.000373300i | ||||
\(512\) | 14.1175 | − | 17.7028i | 0.623913 | − | 0.782362i | ||||
\(513\) | −5.88480 | − | 14.9942i | −0.259820 | − | 0.662011i | ||||
\(514\) | 0.144737 | + | 1.93139i | 0.00638410 | + | 0.0851898i | ||||
\(515\) | −2.40793 | − | 32.1316i | −0.106106 | − | 1.41589i | ||||
\(516\) | −16.6848 | − | 42.5123i | −0.734509 | − | 1.87150i | ||||
\(517\) | 1.56060 | − | 1.95693i | 0.0686351 | − | 0.0860657i | ||||
\(518\) | −7.42429 | + | 0.184501i | −0.326205 | + | 0.00810649i | ||||
\(519\) | 45.8787 | + | 57.5301i | 2.01385 | + | 2.52529i | ||||
\(520\) | 15.4020 | − | 26.6770i | 0.675420 | − | 1.16986i | ||||
\(521\) | −18.7019 | − | 32.3927i | −0.819347 | − | 1.41915i | −0.906164 | − | 0.422926i | \(-0.861003\pi\) |
0.0868178 | − | 0.996224i | \(-0.472330\pi\) | |||||||
\(522\) | −1.23100 | + | 3.13654i | −0.0538795 | + | 0.137283i | ||||
\(523\) | −28.0253 | − | 8.64466i | −1.22546 | − | 0.378004i | −0.386547 | − | 0.922270i | \(-0.626332\pi\) |
−0.838913 | + | 0.544265i | \(0.816808\pi\) | |||||||
\(524\) | −7.13497 | − | 3.43602i | −0.311693 | − | 0.150103i | ||||
\(525\) | −75.1553 | + | 25.2435i | −3.28004 | + | 1.10172i | ||||
\(526\) | 1.56779 | − | 0.755007i | 0.0683588 | − | 0.0329199i | ||||
\(527\) | −10.5957 | + | 1.59704i | −0.461554 | + | 0.0695681i | ||||
\(528\) | 7.24545 | + | 4.93986i | 0.315318 | + | 0.214980i | ||||
\(529\) | −14.2022 | + | 13.1777i | −0.617487 | + | 0.572944i | ||||
\(530\) | −10.8760 | + | 7.41513i | −0.472423 | + | 0.322092i | ||||
\(531\) | −7.26033 | + | 31.8096i | −0.315071 | + | 1.38042i | ||||
\(532\) | 8.97085 | + | 7.91822i | 0.388936 | + | 0.343298i | ||||
\(533\) | −3.72031 | − | 16.2997i | −0.161145 | − | 0.706021i | ||||
\(534\) | −5.82781 | − | 5.40741i | −0.252194 | − | 0.234002i | ||||
\(535\) | 30.8888 | + | 4.65574i | 1.33544 | + | 0.201285i | ||||
\(536\) | −13.3349 | + | 4.11327i | −0.575980 | + | 0.177666i | ||||
\(537\) | −3.63504 | + | 48.5063i | −0.156864 | + | 2.09320i | ||||
\(538\) | 5.53239 | 0.238518 | ||||||||
\(539\) | 5.36152 | + | 4.50045i | 0.230937 | + | 0.193848i | ||||
\(540\) | −47.1918 | −2.03081 | ||||||||
\(541\) | −0.224907 | + | 3.00118i | −0.00966952 | + | 0.129031i | −0.999949 | − | 0.0100582i | \(-0.996798\pi\) |
0.990280 | + | 0.139089i | \(0.0444174\pi\) | |||||||
\(542\) | 6.35041 | − | 1.95884i | 0.272774 | − | 0.0841395i | ||||
\(543\) | −7.33059 | − | 1.10491i | −0.314586 | − | 0.0474162i | ||||
\(544\) | 3.97246 | + | 3.68590i | 0.170318 | + | 0.158032i | ||||
\(545\) | 1.99890 | + | 8.75773i | 0.0856233 | + | 0.375140i | ||||
\(546\) | 12.6352 | − | 9.08242i | 0.540737 | − | 0.388691i | ||||
\(547\) | 7.40237 | − | 32.4319i | 0.316502 | − | 1.38669i | −0.527139 | − | 0.849779i | \(-0.676735\pi\) |
0.843641 | − | 0.536908i | \(-0.180408\pi\) | |||||||
\(548\) | 4.76136 | − | 3.24624i | 0.203395 | − | 0.138673i | ||||
\(549\) | 32.1186 | − | 29.8017i | 1.37079 | − | 1.27191i | ||||
\(550\) | −3.47507 | − | 2.36926i | −0.148177 | − | 0.101026i | ||||
\(551\) | 3.85187 | − | 0.580576i | 0.164095 | − | 0.0247334i | ||||
\(552\) | 26.1353 | − | 12.5861i | 1.11239 | − | 0.535700i | ||||
\(553\) | −5.35329 | − | 3.45819i | −0.227645 | − | 0.147057i | ||||
\(554\) | 0.535189 | + | 0.257734i | 0.0227380 | + | 0.0109500i | ||||
\(555\) | −75.0364 | − | 23.1457i | −3.18512 | − | 0.982479i | ||||
\(556\) | 12.4237 | − | 31.6550i | 0.526880 | − | 1.34247i | ||||
\(557\) | 11.8913 | + | 20.5964i | 0.503851 | + | 0.872696i | 0.999990 | + | 0.00445249i | \(0.00141728\pi\) |
−0.496139 | + | 0.868243i | \(0.665249\pi\) | |||||||
\(558\) | 9.11465 | − | 15.7870i | 0.385854 | − | 0.668319i | ||||
\(559\) | 27.2886 | + | 34.2188i | 1.15419 | + | 1.44730i | ||||
\(560\) | 28.1830 | − | 14.4455i | 1.19095 | − | 0.610433i | ||||
\(561\) | −2.24504 | + | 2.81519i | −0.0947855 | + | 0.118857i | ||||
\(562\) | 0.553694 | + | 1.41079i | 0.0233562 | + | 0.0595106i | ||||
\(563\) | 3.25914 | + | 43.4902i | 0.137356 | + | 1.83289i | 0.461796 | + | 0.886986i | \(0.347205\pi\) |
−0.324440 | + | 0.945906i | \(0.605176\pi\) | |||||||
\(564\) | −0.988407 | − | 13.1894i | −0.0416194 | − | 0.555373i | ||||
\(565\) | −1.97955 | − | 5.04381i | −0.0832803 | − | 0.212195i | ||||
\(566\) | −1.15419 | + | 1.44731i | −0.0485141 | + | 0.0608348i | ||||
\(567\) | −7.22699 | − | 3.26170i | −0.303505 | − | 0.136979i | ||||
\(568\) | 9.51572 | + | 11.9323i | 0.399271 | + | 0.500670i | ||||
\(569\) | 0.866373 | − | 1.50060i | 0.0363203 | − | 0.0629085i | −0.847294 | − | 0.531124i | \(-0.821770\pi\) |
0.883614 | + | 0.468216i | \(0.155103\pi\) | |||||||
\(570\) | −5.61340 | − | 9.72270i | −0.235120 | − | 0.407239i | ||||
\(571\) | −6.35058 | + | 16.1810i | −0.265764 | + | 0.677155i | −0.999998 | − | 0.00174096i | \(-0.999446\pi\) |
0.734235 | + | 0.678895i | \(0.237541\pi\) | |||||||
\(572\) | −8.88949 | − | 2.74205i | −0.371688 | − | 0.114651i | ||||
\(573\) | 9.65170 | + | 4.64801i | 0.403206 | + | 0.194174i | ||||
\(574\) | −1.20646 | + | 3.31382i | −0.0503567 | + | 0.138316i | ||||
\(575\) | 61.0958 | − | 29.4222i | 2.54787 | − | 1.22699i | ||||
\(576\) | 22.6835 | − | 3.41899i | 0.945145 | − | 0.142458i | ||||
\(577\) | 20.5419 | + | 14.0052i | 0.855171 | + | 0.583045i | 0.909606 | − | 0.415472i | \(-0.136384\pi\) |
−0.0544354 | + | 0.998517i | \(0.517336\pi\) | |||||||
\(578\) | 4.56765 | − | 4.23816i | 0.189989 | − | 0.176284i | ||||
\(579\) | −7.48300 | + | 5.10182i | −0.310983 | + | 0.212024i | ||||
\(580\) | 2.53954 | − | 11.1264i | 0.105449 | − | 0.462000i | ||||
\(581\) | 14.9028 | − | 27.3603i | 0.618270 | − | 1.13510i | ||||
\(582\) | −3.23833 | − | 14.1881i | −0.134233 | − | 0.588114i | ||||
\(583\) | 6.08680 | + | 5.64773i | 0.252090 | + | 0.233905i | ||||
\(584\) | 0.196666 | + | 0.0296427i | 0.00813811 | + | 0.00122662i | ||||
\(585\) | 100.220 | − | 30.9138i | 4.14359 | − | 1.27813i | ||||
\(586\) | −0.662533 | + | 8.84089i | −0.0273690 | + | 0.365214i | ||||
\(587\) | −33.8279 | −1.39623 | −0.698113 | − | 0.715987i | \(-0.745977\pi\) | ||||
−0.698113 | + | 0.715987i | \(0.745977\pi\) | |||||||
\(588\) | 36.9436 | − | 1.83730i | 1.52353 | − | 0.0757690i | ||||
\(589\) | −21.0746 | −0.868364 | ||||||||
\(590\) | −0.732838 | + | 9.77905i | −0.0301705 | + | 0.402597i | ||||
\(591\) | −56.6575 | + | 17.4765i | −2.33058 | + | 0.718888i | ||||
\(592\) | 20.9578 | + | 3.15888i | 0.861359 | + | 0.129829i | ||||
\(593\) | 9.90778 | + | 9.19308i | 0.406864 | + | 0.377514i | 0.856889 | − | 0.515502i | \(-0.172394\pi\) |
−0.450025 | + | 0.893016i | \(0.648585\pi\) | |||||||
\(594\) | −0.587806 | − | 2.57534i | −0.0241180 | − | 0.105668i | ||||
\(595\) | 5.05014 | + | 11.9833i | 0.207035 | + | 0.491266i | ||||
\(596\) | 5.05724 | − | 22.1572i | 0.207153 | − | 0.907594i | ||||
\(597\) | −26.2358 | + | 17.8873i | −1.07376 | + | 0.732077i | ||||
\(598\) | −9.75657 | + | 9.05277i | −0.398976 | + | 0.370195i | ||||
\(599\) | −21.3558 | − | 14.5602i | −0.872575 | − | 0.594912i | 0.0420946 | − | 0.999114i | \(-0.486597\pi\) |
−0.914670 | + | 0.404202i | \(0.867549\pi\) | |||||||
\(600\) | −45.9030 | + | 6.91877i | −1.87398 | + | 0.282457i | ||||
\(601\) | 35.2458 | − | 16.9735i | 1.43771 | − | 0.692362i | 0.457292 | − | 0.889316i | \(-0.348819\pi\) |
0.980413 | + | 0.196954i | \(0.0631050\pi\) | |||||||
\(602\) | −0.918417 | − | 9.18631i | −0.0374319 | − | 0.374406i | ||||
\(603\) | −42.8075 | − | 20.6150i | −1.74326 | − | 0.839509i | ||||
\(604\) | 0.576343 | + | 0.177778i | 0.0234510 | + | 0.00723369i | ||||
\(605\) | −1.43450 | + | 3.65505i | −0.0583208 | + | 0.148599i | ||||
\(606\) | −10.4050 | − | 18.0219i | −0.422673 | − | 0.732091i | ||||
\(607\) | 14.8524 | − | 25.7252i | 0.602842 | − | 1.04415i | −0.389547 | − | 0.921007i | \(-0.627368\pi\) |
0.992389 | − | 0.123146i | \(-0.0392984\pi\) | |||||||
\(608\) | 6.64519 | + | 8.33281i | 0.269498 | + | 0.337940i | ||||
\(609\) | 7.27177 | − | 9.59832i | 0.294667 | − | 0.388944i | ||||
\(610\) | 8.21067 | − | 10.2959i | 0.332440 | − | 0.416867i | ||||
\(611\) | 4.63092 | + | 11.7994i | 0.187347 | + | 0.477352i | ||||
\(612\) | 0.906373 | + | 12.0947i | 0.0366380 | + | 0.488900i | ||||
\(613\) | −2.55821 | − | 34.1369i | −0.103325 | − | 1.37878i | −0.772189 | − | 0.635393i | \(-0.780838\pi\) |
0.668864 | − | 0.743385i | \(-0.266781\pi\) | |||||||
\(614\) | 4.65707 | + | 11.8660i | 0.187944 | + | 0.478874i | ||||
\(615\) | −23.2491 | + | 29.1534i | −0.937493 | + | 1.17558i | ||||
\(616\) | 2.63432 | + | 3.14001i | 0.106140 | + | 0.126515i | ||||
\(617\) | 9.41486 | + | 11.8059i | 0.379028 | + | 0.475286i | 0.934354 | − | 0.356347i | \(-0.115978\pi\) |
−0.555326 | + | 0.831633i | \(0.687406\pi\) | |||||||
\(618\) | 4.76532 | − | 8.25378i | 0.191689 | − | 0.332016i | ||||
\(619\) | 11.6831 | + | 20.2357i | 0.469584 | + | 0.813343i | 0.999395 | − | 0.0347723i | \(-0.0110706\pi\) |
−0.529811 | + | 0.848116i | \(0.677737\pi\) | |||||||
\(620\) | −22.5575 | + | 57.4756i | −0.905932 | + | 2.30828i | ||||
\(621\) | 40.6978 | + | 12.5536i | 1.63315 | + | 0.503759i | ||||
\(622\) | 8.38692 | + | 4.03893i | 0.336285 | + | 0.161946i | ||||
\(623\) | 9.44237 | + | 15.4548i | 0.378300 | + | 0.619183i | ||||
\(624\) | −40.0107 | + | 19.2681i | −1.60171 | + | 0.771342i | ||||
\(625\) | −31.0812 | + | 4.68474i | −1.24325 | + | 0.187390i | ||||
\(626\) | 10.3485 | + | 7.05547i | 0.413608 | + | 0.281993i | ||||
\(627\) | −5.19137 | + | 4.81689i | −0.207323 | + | 0.192368i | ||||
\(628\) | −12.1980 | + | 8.31647i | −0.486754 | + | 0.331863i | ||||
\(629\) | −1.93655 | + | 8.48457i | −0.0772152 | + | 0.338302i | ||||
\(630\) | −21.2954 | − | 5.99360i | −0.848428 | − | 0.238791i | ||||
\(631\) | 4.75625 | + | 20.8385i | 0.189343 | + | 0.829568i | 0.976964 | + | 0.213406i | \(0.0684558\pi\) |
−0.787620 | + | 0.616161i | \(0.788687\pi\) | |||||||
\(632\) | −2.73549 | − | 2.53816i | −0.108812 | − | 0.100963i | ||||
\(633\) | −20.4453 | − | 3.08163i | −0.812627 | − | 0.122484i | ||||
\(634\) | −1.62788 | + | 0.502135i | −0.0646515 | + | 0.0199423i | ||||
\(635\) | 3.05475 | − | 40.7628i | 0.121224 | − | 1.61762i | ||||
\(636\) | 43.8765 | 1.73982 | ||||||||
\(637\) | −33.3133 | + | 12.1185i | −1.31992 | + | 0.480151i | ||||
\(638\) | 0.638821 | 0.0252912 | ||||||||
\(639\) | −3.88323 | + | 51.8180i | −0.153618 | + | 2.04989i | ||||
\(640\) | 39.0746 | − | 12.0529i | 1.54456 | − | 0.476433i | ||||
\(641\) | 3.26862 | + | 0.492665i | 0.129103 | + | 0.0194591i | 0.213276 | − | 0.976992i | \(-0.431587\pi\) |
−0.0841730 | + | 0.996451i | \(0.526825\pi\) | |||||||
\(642\) | 6.77310 | + | 6.28452i | 0.267313 | + | 0.248030i | ||||
\(643\) | −8.41049 | − | 36.8488i | −0.331678 | − | 1.45317i | −0.815882 | − | 0.578219i | \(-0.803748\pi\) |
0.484204 | − | 0.874955i | \(-0.339109\pi\) | |||||||
\(644\) | −31.1576 | + | 5.49112i | −1.22778 | + | 0.216380i | ||||
\(645\) | 21.7215 | − | 95.1683i | 0.855285 | − | 3.74725i | ||||
\(646\) | −1.02804 | + | 0.700907i | −0.0404478 | + | 0.0275768i | ||||
\(647\) | −29.1669 | + | 27.0630i | −1.14667 | + | 1.06396i | −0.149502 | + | 0.988761i | \(0.547767\pi\) |
−0.997169 | + | 0.0751937i | \(0.976042\pi\) | |||||||
\(648\) | −3.83591 | − | 2.61528i | −0.150689 | − | 0.102738i | ||||
\(649\) | 6.11682 | − | 0.921963i | 0.240106 | − | 0.0361902i | ||||
\(650\) | 19.1899 | − | 9.24139i | 0.752691 | − | 0.362477i | ||||
\(651\) | −46.6415 | + | 45.4848i | −1.82802 | + | 1.78269i | ||||
\(652\) | −8.27275 | − | 3.98395i | −0.323986 | − | 0.156023i | ||||
\(653\) | −4.84646 | − | 1.49494i | −0.189657 | − | 0.0585014i | 0.198472 | − | 0.980107i | \(-0.436402\pi\) |
−0.388129 | + | 0.921605i | \(0.626878\pi\) | |||||||
\(654\) | −0.970714 | + | 2.47334i | −0.0379579 | + | 0.0967152i | ||||
\(655\) | −8.46347 | − | 14.6592i | −0.330695 | − | 0.572781i | ||||
\(656\) | 5.03223 | − | 8.71609i | 0.196476 | − | 0.340306i | ||||
\(657\) | 0.422204 | + | 0.529427i | 0.0164717 | + | 0.0206549i | ||||
\(658\) | 0.530018 | − | 2.62067i | 0.0206623 | − | 0.102164i | ||||
\(659\) | 3.99187 | − | 5.00564i | 0.155501 | − | 0.194992i | −0.697978 | − | 0.716119i | \(-0.745917\pi\) |
0.853479 | + | 0.521127i | \(0.174488\pi\) | |||||||
\(660\) | 7.58018 | + | 19.3140i | 0.295058 | + | 0.751796i | ||||
\(661\) | 1.32902 | + | 17.7346i | 0.0516930 | + | 0.689795i | 0.961507 | + | 0.274779i | \(0.0886048\pi\) |
−0.909814 | + | 0.415015i | \(0.863776\pi\) | |||||||
\(662\) | 0.173446 | + | 2.31447i | 0.00674116 | + | 0.0899545i | ||||
\(663\) | −6.66191 | − | 16.9743i | −0.258727 | − | 0.659226i | ||||
\(664\) | 11.3740 | − | 14.2626i | 0.441399 | − | 0.553496i | ||||
\(665\) | 6.30884 | + | 24.7854i | 0.244646 | + | 0.961138i | ||||
\(666\) | −9.23104 | − | 11.5754i | −0.357696 | − | 0.448536i | ||||
\(667\) | −5.14984 | + | 8.91978i | −0.199403 | + | 0.345375i | ||||
\(668\) | 13.6621 | + | 23.6635i | 0.528603 | + | 0.915567i | ||||
\(669\) | −12.5624 | + | 32.0086i | −0.485692 | + | 1.23752i | ||||
\(670\) | −13.6459 | − | 4.20920i | −0.527186 | − | 0.162615i | ||||
\(671\) | −7.48428 | − | 3.60424i | −0.288928 | − | 0.139140i | ||||
\(672\) | 32.6914 | + | 4.09967i | 1.26110 | + | 0.158148i | ||||
\(673\) | −34.2502 | + | 16.4940i | −1.32025 | + | 0.635797i | −0.955412 | − | 0.295275i | \(-0.904589\pi\) |
−0.364834 | + | 0.931072i | \(0.618874\pi\) | |||||||
\(674\) | −13.3772 | + | 2.01628i | −0.515269 | + | 0.0776643i | ||||
\(675\) | −56.3137 | − | 38.3940i | −2.16752 | − | 1.47779i | ||||
\(676\) | 17.0287 | − | 15.8003i | 0.654949 | − | 0.607703i | ||||
\(677\) | 14.6919 | − | 10.0167i | 0.564654 | − | 0.384975i | −0.247086 | − | 0.968994i | \(-0.579473\pi\) |
0.811740 | + | 0.584019i | \(0.198521\pi\) | |||||||
\(678\) | 0.356626 | − | 1.56248i | 0.0136961 | − | 0.0600067i | ||||
\(679\) | −1.65544 | + | 33.1117i | −0.0635299 | + | 1.27071i | ||||
\(680\) | 1.69431 | + | 7.42327i | 0.0649739 | + | 0.284669i | ||||
\(681\) | 30.1488 | + | 27.9740i | 1.15530 | + | 1.07197i | ||||
\(682\) | −3.41752 | − | 0.515108i | −0.130863 | − | 0.0197245i | ||||
\(683\) | −27.5665 | + | 8.50315i | −1.05480 | + | 0.325364i | −0.773197 | − | 0.634166i | \(-0.781344\pi\) |
−0.281607 | + | 0.959530i | \(0.590867\pi\) | |||||||
\(684\) | −1.78263 | + | 23.7875i | −0.0681604 | + | 0.909538i | ||||
\(685\) | 12.3175 | 0.470626 | ||||||||
\(686\) | 7.28953 | + | 1.66580i | 0.278315 | + | 0.0636005i | ||||
\(687\) | 36.3441 | 1.38661 | ||||||||
\(688\) | −1.96893 | + | 26.2735i | −0.0750647 | + | 1.00167i | ||||
\(689\) | −40.1814 | + | 12.3943i | −1.53079 | + | 0.472185i | ||||
\(690\) | 29.3530 | + | 4.42425i | 1.11745 | + | 0.168428i | ||||
\(691\) | 0.00115667 | + | 0.00107323i | 4.40017e−5 | + | 4.08276e-5i | 0.680195 | − | 0.733031i | \(-0.261895\pi\) |
−0.680151 | + | 0.733072i | \(0.738086\pi\) | |||||||
\(692\) | −10.4566 | − | 45.8132i | −0.397499 | − | 1.74156i | ||||
\(693\) | −0.696819 | + | 13.9376i | −0.0264700 | + | 0.529446i | ||||
\(694\) | 0.0947868 | − | 0.415288i | 0.00359806 | − | 0.0157641i | ||||
\(695\) | 60.0554 | − | 40.9451i | 2.27803 | − | 1.55314i | ||||
\(696\) | 5.16863 | − | 4.79579i | 0.195917 | − | 0.181784i | ||||
\(697\) | 3.41453 | + | 2.32799i | 0.129334 | + | 0.0881788i | ||||
\(698\) | 0.255324 | − | 0.0384839i | 0.00966415 | − | 0.00145664i | ||||
\(699\) | 78.2054 | − | 37.6617i | 2.95800 | − | 1.42450i | ||||
\(700\) | 50.2365 | + | 6.29991i | 1.89876 | + | 0.238114i | ||||
\(701\) | 30.3941 | + | 14.6370i | 1.14797 | + | 0.552833i | 0.908423 | − | 0.418052i | \(-0.137287\pi\) |
0.239547 | + | 0.970885i | \(0.423001\pi\) | |||||||
\(702\) | 12.7830 | + | 3.94303i | 0.482463 | + | 0.148820i | ||||
\(703\) | −6.25330 | + | 15.9331i | −0.235848 | + | 0.600930i | ||||
\(704\) | −2.17459 | − | 3.76649i | −0.0819578 | − | 0.141955i | ||||
\(705\) | 14.1353 | − | 24.4831i | 0.532368 | − | 0.922088i | ||||
\(706\) | 1.15111 | + | 1.44345i | 0.0433226 | + | 0.0543248i | ||||
\(707\) | 11.6940 | + | 45.9421i | 0.439799 | + | 1.72783i | ||||
\(708\) | 20.3803 | − | 25.5561i | 0.765940 | − | 0.960458i | ||||
\(709\) | −11.1997 | − | 28.5364i | −0.420614 | − | 1.07171i | −0.971482 | − | 0.237114i | \(-0.923798\pi\) |
0.550868 | − | 0.834592i | \(-0.314297\pi\) | |||||||
\(710\) | 1.16713 | + | 15.5743i | 0.0438017 | + | 0.584493i | ||||
\(711\) | −0.949469 | − | 12.6698i | −0.0356079 | − | 0.475154i | ||||
\(712\) | 3.87426 | + | 9.87145i | 0.145194 | + | 0.369948i | ||||
\(713\) | 34.7426 | − | 43.5658i | 1.30112 | − | 1.63155i | ||||
\(714\) | −0.762469 | + | 3.77002i | −0.0285347 | + | 0.141089i | ||||
\(715\) | −12.3976 | − | 15.5461i | −0.463645 | − | 0.581392i | ||||
\(716\) | 15.5317 | − | 26.9018i | 0.580449 | − | 1.00537i | ||||
\(717\) | −29.4964 | − | 51.0893i | −1.10156 | − | 1.90796i | ||||
\(718\) | 3.34318 | − | 8.51829i | 0.124766 | − | 0.317900i | ||||
\(719\) | 12.6093 | + | 3.88946i | 0.470248 | + | 0.145052i | 0.520817 | − | 0.853668i | \(-0.325627\pi\) |
−0.0505691 | + | 0.998721i | \(0.516104\pi\) | |||||||
\(720\) | 56.8830 | + | 27.3934i | 2.11991 | + | 1.02089i | ||||
\(721\) | −15.5440 | + | 15.1586i | −0.578890 | + | 0.564535i | ||||
\(722\) | 4.70665 | − | 2.26661i | 0.175164 | − | 0.0843543i | ||||
\(723\) | 83.9822 | − | 12.6583i | 3.12333 | − | 0.470767i | ||||
\(724\) | 3.91164 | + | 2.66691i | 0.145375 | + | 0.0991149i | ||||
\(725\) | 12.0826 | − | 11.2110i | 0.448736 | − | 0.416366i | ||||
\(726\) | −0.959582 | + | 0.654232i | −0.0356134 | + | 0.0242808i | ||||
\(727\) | 0.167406 | − | 0.733454i | 0.00620875 | − | 0.0272023i | −0.971729 | − | 0.236100i | \(-0.924131\pi\) |
0.977937 | + | 0.208898i | \(0.0669877\pi\) | |||||||
\(728\) | −20.4414 | + | 3.60252i | −0.757608 | + | 0.133518i | ||||
\(729\) | 9.04640 | + | 39.6349i | 0.335052 | + | 1.46796i | ||||
\(730\) | 0.149195 | + | 0.138433i | 0.00552196 | + | 0.00512363i | ||||
\(731\) | −10.6977 | − | 1.61242i | −0.395669 | − | 0.0596375i | ||||
\(732\) | −41.9452 | + | 12.9384i | −1.55034 | + | 0.478216i | ||||
\(733\) | −2.77647 | + | 37.0494i | −0.102551 | + | 1.36845i | 0.674157 | + | 0.738588i | \(0.264507\pi\) |
−0.776708 | + | 0.629861i | \(0.783112\pi\) | |||||||
\(734\) | −3.03001 | −0.111840 | ||||||||
\(735\) | 67.4563 | + | 41.2379i | 2.48816 | + | 1.52108i | ||||
\(736\) | −28.1807 | −1.03875 | ||||||||
\(737\) | −0.673170 | + | 8.98283i | −0.0247965 | + | 0.330887i | ||||
\(738\) | −6.71820 | + | 2.07229i | −0.247300 | + | 0.0762821i | ||||
\(739\) | −44.5065 | − | 6.70828i | −1.63720 | − | 0.246768i | −0.734993 | − | 0.678075i | \(-0.762815\pi\) |
−0.902205 | + | 0.431307i | \(0.858053\pi\) | |||||||
\(740\) | 36.7603 | + | 34.1086i | 1.35134 | + | 1.25386i | ||||
\(741\) | −7.98040 | − | 34.9644i | −0.293167 | − | 1.28445i | ||||
\(742\) | 8.53799 | + | 2.40302i | 0.313439 | + | 0.0882177i | ||||
\(743\) | −1.52221 | + | 6.66923i | −0.0558444 | + | 0.244670i | −0.995144 | − | 0.0984270i | \(-0.968619\pi\) |
0.939300 | + | 0.343097i | \(0.111476\pi\) | |||||||
\(744\) | −31.5178 | + | 21.4885i | −1.15550 | + | 0.787806i | ||||
\(745\) | 35.6101 | − | 33.0413i | 1.30465 | − | 1.21054i | ||||
\(746\) | 5.01536 | + | 3.41941i | 0.183625 | + | 0.125194i | ||||
\(747\) | 61.4175 | − | 9.25721i | 2.24715 | − | 0.338703i | ||||
\(748\) | 2.07176 | − | 0.997708i | 0.0757511 | − | 0.0364798i | ||||
\(749\) | −10.9740 | − | 17.9616i | −0.400980 | − | 0.656303i | ||||
\(750\) | −22.2570 | − | 10.7184i | −0.812709 | − | 0.391380i | ||||
\(751\) | 24.8976 | + | 7.67988i | 0.908525 | + | 0.280243i | 0.713582 | − | 0.700572i | \(-0.247072\pi\) |
0.194943 | + | 0.980815i | \(0.437548\pi\) | |||||||
\(752\) | −2.78772 | + | 7.10300i | −0.101658 | + | 0.259020i | ||||
\(753\) | −4.98984 | − | 8.64265i | −0.181840 | − | 0.314956i | ||||
\(754\) | −1.61754 | + | 2.80167i | −0.0589074 | + | 0.102031i | ||||
\(755\) | 0.803789 | + | 1.00792i | 0.0292529 | + | 0.0366820i | ||||
\(756\) | 20.4379 | + | 24.3612i | 0.743317 | + | 0.886009i | ||||
\(757\) | −15.1811 | + | 19.0366i | −0.551768 | + | 0.691895i | −0.977012 | − | 0.213183i | \(-0.931617\pi\) |
0.425244 | + | 0.905079i | \(0.360188\pi\) | |||||||
\(758\) | −0.714470 | − | 1.82044i | −0.0259507 | − | 0.0661214i | ||||
\(759\) | −1.39932 | − | 18.6726i | −0.0507920 | − | 0.677773i | ||||
\(760\) | 1.11911 | + | 14.9334i | 0.0405943 | + | 0.541693i | ||||
\(761\) | −9.17145 | − | 23.3685i | −0.332465 | − | 0.847106i | −0.995165 | − | 0.0982211i | \(-0.968685\pi\) |
0.662700 | − | 0.748885i | \(-0.269410\pi\) | |||||||
\(762\) | 7.53846 | − | 9.45293i | 0.273090 | − | 0.342444i | ||||
\(763\) | 3.65520 | − | 4.82466i | 0.132327 | − | 0.174664i | ||||
\(764\) | −4.26540 | − | 5.34864i | −0.154317 | − | 0.193507i | ||||
\(765\) | −12.9622 | + | 22.4511i | −0.468648 | + | 0.811722i | ||||
\(766\) | −0.183025 | − | 0.317008i | −0.00661295 | − | 0.0114540i | ||||
\(767\) | −11.4448 | + | 29.1609i | −0.413248 | + | 1.05294i | ||||
\(768\) | −12.3519 | − | 3.81007i | −0.445712 | − | 0.137484i | ||||
\(769\) | 7.93693 | + | 3.82223i | 0.286213 | + | 0.137833i | 0.571482 | − | 0.820615i | \(-0.306369\pi\) |
−0.285269 | + | 0.958448i | \(0.592083\pi\) | |||||||
\(770\) | 0.417251 | + | 4.17348i | 0.0150367 | + | 0.150402i | ||||
\(771\) | 12.4326 | − | 5.98720i | 0.447747 | − | 0.215624i | ||||
\(772\) | 5.71911 | − | 0.862017i | 0.205835 | − | 0.0310247i | ||||
\(773\) | 36.4907 | + | 24.8790i | 1.31248 | + | 0.894834i | 0.998508 | − | 0.0545979i | \(-0.0173877\pi\) |
0.313972 | + | 0.949432i | \(0.398340\pi\) | |||||||
\(774\) | 13.4917 | − | 12.5185i | 0.484950 | − | 0.449968i | ||||
\(775\) | −73.6784 | + | 50.2331i | −2.64661 | + | 1.80443i | ||||
\(776\) | −4.31958 | + | 18.9253i | −0.155064 | + | 0.679379i | ||||
\(777\) | 20.5486 | + | 48.7590i | 0.737177 | + | 1.74922i | ||||
\(778\) | −1.07988 | − | 4.73127i | −0.0387156 | − | 0.169624i | ||||
\(779\) | 5.95818 | + | 5.52838i | 0.213474 | + | 0.198075i | ||||
\(780\) | −103.898 | − | 15.6602i | −3.72016 | − | 0.560724i | ||||
\(781\) | 9.41412 | − | 2.90387i | 0.336864 | − | 0.103909i | ||||
\(782\) | 0.245852 | − | 3.28067i | 0.00879166 | − | 0.117317i | ||||
\(783\) | 10.3521 | 0.369956 | ||||||||
\(784\) | −19.6625 | − | 8.29249i | −0.702232 | − | 0.296160i | ||||
\(785\) | −31.5558 | −1.12628 | ||||||||
\(786\) | 0.374152 | − | 4.99271i | 0.0133455 | − | 0.178084i | ||||
\(787\) | −12.9452 | + | 3.99307i | −0.461447 | + | 0.142338i | −0.516758 | − | 0.856132i | \(-0.672861\pi\) |
0.0553108 | + | 0.998469i | \(0.482385\pi\) | |||||||
\(788\) | 37.4414 | + | 5.64338i | 1.33379 | + | 0.201037i | ||||
\(789\) | −9.08819 | − | 8.43261i | −0.323548 | − | 0.300209i | ||||
\(790\) | −0.849735 | − | 3.72293i | −0.0302322 | − | 0.132456i | ||||
\(791\) | −1.74639 | + | 3.20625i | −0.0620946 | + | 0.114001i | ||||
\(792\) | −1.81823 | + | 7.96619i | −0.0646080 | + | 0.283066i | ||||
\(793\) | 34.7578 | − | 23.6975i | 1.23429 | − | 0.841522i | ||||
\(794\) | 10.2727 | − | 9.53164i | 0.364563 | − | 0.338265i | ||||
\(795\) | 77.4879 | + | 52.8304i | 2.74821 | + | 1.87370i | ||||
\(796\) | 20.0515 | − | 3.02228i | 0.710707 | − | 0.107122i | ||||
\(797\) | −2.14440 | + | 1.03269i | −0.0759584 | + | 0.0365796i | −0.471477 | − | 0.881878i | \(-0.656279\pi\) |
0.395519 | + | 0.918458i | \(0.370565\pi\) | |||||||
\(798\) | −2.58796 | + | 7.10844i | −0.0916129 | + | 0.251636i | ||||
\(799\) | −2.82290 | − | 1.35944i | −0.0998669 | − | 0.0480934i | ||||
\(800\) | 43.0941 | + | 13.2928i | 1.52360 | + | 0.469970i | ||||
\(801\) | −13.1909 | + | 33.6098i | −0.466076 | + | 1.18754i | ||||
\(802\) | −2.44213 | − | 4.22989i | −0.0862345 | − | 0.149362i | ||||
\(803\) | 0.0641921 | − | 0.111184i | 0.00226529 | − | 0.00392360i | ||||
\(804\) | 29.6781 | + | 37.2152i | 1.04667 | + | 1.31248i | ||||
\(805\) | −61.6374 | − | 27.8184i | −2.17243 | − | 0.980468i | ||||
\(806\) | 10.9125 | − | 13.6838i | 0.384376 | − | 0.481993i | ||||
\(807\) | −14.4005 | − | 36.6918i | −0.506920 | − | 1.29161i | ||||
\(808\) | 2.07437 | + | 27.6805i | 0.0729761 | + | 0.973798i | ||||
\(809\) | −1.69960 | − | 22.6795i | −0.0597546 | − | 0.797370i | −0.943915 | − | 0.330187i | \(-0.892888\pi\) |
0.884161 | − | 0.467183i | \(-0.154731\pi\) | |||||||
\(810\) | −1.73569 | − | 4.42248i | −0.0609861 | − | 0.155390i | ||||
\(811\) | −10.6165 | + | 13.3127i | −0.372796 | + | 0.467472i | −0.932473 | − | 0.361239i | \(-0.882354\pi\) |
0.559677 | + | 0.828711i | \(0.310925\pi\) | |||||||
\(812\) | −6.84347 | + | 3.50769i | −0.240159 | + | 0.123096i | ||||
\(813\) | −29.5211 | − | 37.0183i | −1.03535 | − | 1.29829i | ||||
\(814\) | −1.40349 | + | 2.43092i | −0.0491924 | + | 0.0852037i | ||||
\(815\) | −9.81310 | − | 16.9968i | −0.343738 | − | 0.595371i | ||||
\(816\) | 4.01034 | − | 10.2182i | 0.140390 | − | 0.357708i | ||||
\(817\) | −20.3323 | − | 6.27168i | −0.711336 | − | 0.219418i | ||||
\(818\) | −9.75596 | − | 4.69822i | −0.341109 | − | 0.164269i | ||||
\(819\) | −59.3615 | − | 38.3471i | −2.07426 | − | 1.33996i | ||||
\(820\) | 21.4547 | − | 10.3320i | 0.749230 | − | 0.360810i | ||||
\(821\) | 3.96951 | − | 0.598307i | 0.138537 | − | 0.0208811i | −0.0794078 | − | 0.996842i | \(-0.525303\pi\) |
0.217944 | + | 0.975961i | \(0.430065\pi\) | |||||||
\(822\) | 3.01024 | + | 2.05235i | 0.104994 | + | 0.0715838i | ||||
\(823\) | −25.9018 | + | 24.0334i | −0.902880 | + | 0.837751i | −0.987331 | − | 0.158677i | \(-0.949277\pi\) |
0.0844501 | + | 0.996428i | \(0.473087\pi\) | |||||||
\(824\) | −10.5038 | + | 7.16139i | −0.365918 | + | 0.249479i | ||||
\(825\) | −6.66797 | + | 29.2143i | −0.232149 | + | 1.01711i | ||||
\(826\) | 5.36548 | − | 3.85681i | 0.186689 | − | 0.134196i | ||||
\(827\) | −2.74433 | − | 12.0237i | −0.0954296 | − | 0.418104i | 0.904536 | − | 0.426397i | \(-0.140217\pi\) |
−0.999966 | + | 0.00829294i | \(0.997360\pi\) | |||||||
\(828\) | −46.2353 | − | 42.9000i | −1.60679 | − | 1.49088i | ||||
\(829\) | −10.3408 | − | 1.55863i | −0.359152 | − | 0.0541334i | −0.0330120 | − | 0.999455i | \(-0.510510\pi\) |
−0.326140 | + | 0.945322i | \(0.605748\pi\) | |||||||
\(830\) | 17.8386 | − | 5.50249i | 0.619188 | − | 0.190994i | ||||
\(831\) | 0.316270 | − | 4.22033i | 0.0109713 | − | 0.146402i | ||||
\(832\) | 22.0248 | 0.763574 | ||||||||
\(833\) | 3.99885 | − | 7.79668i | 0.138552 | − | 0.270139i | ||||
\(834\) | 21.4991 | 0.744453 | ||||||||
\(835\) | −4.36455 | + | 58.2408i | −0.151041 | + | 2.01551i | ||||
\(836\) | 4.32163 | − | 1.33305i | 0.149467 | − | 0.0461043i | ||||
\(837\) | −55.3811 | − | 8.34736i | −1.91425 | − | 0.288527i | ||||
\(838\) | −9.36316 | − | 8.68774i | −0.323445 | − | 0.300113i | ||||
\(839\) | −1.01558 | − | 4.44953i | −0.0350616 | − | 0.153615i | 0.954367 | − | 0.298637i | \(-0.0965319\pi\) |
−0.989428 | + | 0.145022i | \(0.953675\pi\) | |||||||
\(840\) | 34.7073 | + | 30.6348i | 1.19751 | + | 1.05700i | ||||
\(841\) | 5.89603 | − | 25.8322i | 0.203311 | − | 0.890765i | ||||
\(842\) | −0.401034 | + | 0.273420i | −0.0138205 | + | 0.00942269i | ||||
\(843\) | 7.91537 | − | 7.34439i | 0.272620 | − | 0.252954i | ||||
\(844\) | 10.9097 | + | 7.43811i | 0.375527 | + | 0.256030i | ||||
\(845\) | 49.0980 | − | 7.40033i | 1.68902 | − | 0.254579i | ||||
\(846\) | 4.80241 | − | 2.31272i | 0.165110 | − | 0.0795129i | ||||
\(847\) | 2.50805 | − | 0.842417i | 0.0861777 | − | 0.0289458i | ||||
\(848\) | −22.8062 | − | 10.9829i | −0.783168 | − | 0.377154i | ||||
\(849\) | 12.6031 | + | 3.88753i | 0.432536 | + | 0.133420i | ||||
\(850\) | −1.92344 | + | 4.90085i | −0.0659735 | + | 0.168098i | ||||
\(851\) | −22.6284 | − | 39.1936i | −0.775693 | − | 1.34354i | ||||
\(852\) | 26.0294 | − | 45.0842i | 0.891752 | − | 1.54456i | ||||
\(853\) | −21.6680 | − | 27.1708i | −0.741898 | − | 0.930311i | 0.257454 | − | 0.966290i | \(-0.417116\pi\) |
−0.999353 | + | 0.0359796i | \(0.988545\pi\) | |||||||
\(854\) | −8.87077 | + | 0.220447i | −0.303551 | + | 0.00754353i | ||||
\(855\) | −31.7900 | + | 39.8634i | −1.08719 | + | 1.36330i | ||||
\(856\) | −4.50268 | − | 11.4726i | −0.153898 | − | 0.392127i | ||||
\(857\) | −2.72534 | − | 36.3671i | −0.0930957 | − | 1.24228i | −0.826678 | − | 0.562675i | \(-0.809772\pi\) |
0.733582 | − | 0.679600i | \(-0.237847\pi\) | |||||||
\(858\) | −0.439520 | − | 5.86499i | −0.0150050 | − | 0.200227i | ||||
\(859\) | −13.7579 | − | 35.0544i | −0.469412 | − | 1.19604i | −0.948076 | − | 0.318044i | \(-0.896974\pi\) |
0.478664 | − | 0.877998i | \(-0.341121\pi\) | |||||||
\(860\) | −38.8674 | + | 48.7381i | −1.32537 | + | 1.66196i | ||||
\(861\) | 25.1182 | − | 0.624210i | 0.856025 | − | 0.0212730i | ||||
\(862\) | −1.77560 | − | 2.22653i | −0.0604772 | − | 0.0758360i | ||||
\(863\) | −26.5724 | + | 46.0247i | −0.904534 | + | 1.56670i | −0.0829917 | + | 0.996550i | \(0.526447\pi\) |
−0.821542 | + | 0.570148i | \(0.806886\pi\) | |||||||
\(864\) | 14.1621 | + | 24.5295i | 0.481806 | + | 0.834512i | ||||
\(865\) | 36.6955 | − | 93.4985i | 1.24768 | − | 3.17904i | ||||
\(866\) | 6.62110 | + | 2.04234i | 0.224994 | + | 0.0694015i | ||||
\(867\) | −39.9975 | − | 19.2618i | −1.35839 | − | 0.654165i | ||||
\(868\) | 39.4391 | − | 13.2470i | 1.33865 | − | 0.449632i | ||||
\(869\) | −2.17027 | + | 1.04515i | −0.0736213 | + | 0.0354542i | ||||
\(870\) | 7.13469 | − | 1.07538i | 0.241889 | − | 0.0364589i | ||||
\(871\) | −37.6913 | − | 25.6975i | −1.27712 | − | 0.870726i | ||||
\(872\) | 2.59805 | − | 2.41064i | 0.0879811 | − | 0.0816345i | ||||
\(873\) | −54.6086 | + | 37.2315i | −1.84822 | + | 1.26010i | ||||
\(874\) | 1.43980 | − | 6.30819i | 0.0487021 | − | 0.213378i | ||||
\(875\) | 42.1919 | + | 37.2411i | 1.42635 | + | 1.25898i | ||||
\(876\) | −0.150959 | − | 0.661396i | −0.00510045 | − | 0.0223465i | ||||
\(877\) | 31.5468 | + | 29.2712i | 1.06526 | + | 0.988417i | 0.999955 | − | 0.00944859i | \(-0.00300762\pi\) |
0.0653046 | + | 0.997865i | \(0.479198\pi\) | |||||||
\(878\) | 0.135002 | + | 0.0203482i | 0.00455608 | + | 0.000686719i | ||||
\(879\) | 60.3589 | − | 18.6182i | 2.03585 | − | 0.627978i | ||||
\(880\) | 0.894514 | − | 11.9365i | 0.0301541 | − | 0.402378i | ||||
\(881\) | −20.9066 | −0.704361 | −0.352180 | − | 0.935932i | \(-0.614560\pi\) | ||||
−0.352180 | + | 0.935932i | \(0.614560\pi\) | |||||||
\(882\) | 6.12861 | + | 13.5887i | 0.206361 | + | 0.457556i | ||||
\(883\) | 49.9673 | 1.68153 | 0.840767 | − | 0.541397i | \(-0.182104\pi\) | ||||
0.840767 | + | 0.541397i | \(0.182104\pi\) | |||||||
\(884\) | −0.870226 | + | 11.6124i | −0.0292689 | + | 0.390566i | ||||
\(885\) | 66.7639 | − | 20.5939i | 2.24424 | − | 0.692257i | ||||
\(886\) | 5.07331 | + | 0.764679i | 0.170441 | + | 0.0256899i | ||||
\(887\) | −1.47014 | − | 1.36409i | −0.0493625 | − | 0.0458017i | 0.655106 | − | 0.755537i | \(-0.272624\pi\) |
−0.704468 | + | 0.709735i | \(0.748814\pi\) | |||||||
\(888\) | 6.89402 | + | 30.2047i | 0.231348 | + | 1.01360i | ||||
\(889\) | −22.3654 | + | 16.0766i | −0.750110 | + | 0.539193i | ||||
\(890\) | −2.41476 | + | 10.5797i | −0.0809428 | + | 0.354634i | ||||
\(891\) | −2.47612 | + | 1.68819i | −0.0829531 | + | 0.0565565i | ||||
\(892\) | 16.0970 | − | 14.9359i | 0.538969 | − | 0.500090i | ||||
\(893\) | −5.09148 | − | 3.47131i | −0.170380 | − | 0.116163i | ||||
\(894\) | 14.2080 | − | 2.14152i | 0.475188 | − | 0.0716231i | ||||
\(895\) | 59.8213 | − | 28.8084i | 1.99961 | − | 0.962960i | ||||
\(896\) | −23.1443 | − | 14.9511i | −0.773198 | − | 0.499480i | ||||
\(897\) | 85.4353 | + | 41.1435i | 2.85260 | + | 1.37374i | ||||
\(898\) | −4.56028 | − | 1.40666i | −0.152178 | − | 0.0469408i | ||||
\(899\) | 4.94829 | − | 12.6080i | 0.165035 | − | 0.420501i | ||||
\(900\) | 50.4673 | + | 87.4119i | 1.68224 | + | 2.91373i | ||||
\(901\) | 5.19694 | − | 9.00136i | 0.173135 | − | 0.299879i | ||||
\(902\) | 0.831069 | + | 1.04213i | 0.0276716 | + | 0.0346991i | ||||
\(903\) | −58.5346 | + | 30.0025i | −1.94791 | + | 0.998420i | ||||
\(904\) | −1.33288 | + | 1.67138i | −0.0443309 | + | 0.0555892i | ||||
\(905\) | 3.69698 | + | 9.41976i | 0.122892 | + | 0.313123i | ||||
\(906\) | 0.0284959 | + | 0.380251i | 0.000946712 | + | 0.0126330i | ||||
\(907\) | 0.918953 | + | 12.2626i | 0.0305133 | + | 0.407172i | 0.991458 | + | 0.130430i | \(0.0416358\pi\) |
−0.960944 | + | 0.276742i | \(0.910745\pi\) | |||||||
\(908\) | −9.59554 | − | 24.4490i | −0.318439 | − | 0.811370i | ||||
\(909\) | −58.9257 | + | 73.8905i | −1.95444 | + | 2.45079i | ||||
\(910\) | −19.3600 | − | 8.73762i | −0.641779 | − | 0.289649i | ||||
\(911\) | 29.7417 | + | 37.2949i | 0.985387 | + | 1.23564i | 0.971819 | + | 0.235728i | \(0.0757474\pi\) |
0.0135676 | + | 0.999908i | \(0.495681\pi\) | |||||||
\(912\) | 10.7946 | − | 18.6968i | 0.357445 | − | 0.619112i | ||||
\(913\) | −5.88788 | − | 10.1981i | −0.194860 | − | 0.337508i | ||||
\(914\) | 0.577784 | − | 1.47217i | 0.0191114 | − | 0.0486950i | ||||
\(915\) | −89.6557 | − | 27.6551i | −2.96393 | − | 0.914250i | ||||
\(916\) | −20.9112 | − | 10.0703i | −0.690927 | − | 0.332733i | ||||
\(917\) | −3.90194 | + | 10.7176i | −0.128853 | + | 0.353925i | ||||
\(918\) | −2.97917 | + | 1.43469i | −0.0983273 | + | 0.0473519i | ||||
\(919\) | 22.2203 | − | 3.34917i | 0.732981 | − | 0.110479i | 0.228063 | − | 0.973646i | \(-0.426761\pi\) |
0.504918 | + | 0.863167i | \(0.331523\pi\) | |||||||
\(920\) | −32.7156 | − | 22.3051i | −1.07860 | − | 0.735379i | ||||
\(921\) | 66.5755 | − | 61.7730i | 2.19374 | − | 2.03549i | ||||
\(922\) | −0.110489 | + | 0.0753300i | −0.00363875 | + | 0.00248086i | ||||
\(923\) | −11.1018 | + | 48.6401i | −0.365420 | + | 1.60101i | ||||
\(924\) | 6.68737 | − | 12.2775i | 0.219998 | − | 0.403900i | ||||
\(925\) | 16.1160 | + | 70.6088i | 0.529890 | + | 2.32160i | ||||
\(926\) | −12.2118 | − | 11.3309i | −0.401306 | − | 0.372357i | ||||
\(927\) | −42.8005 | − | 6.45114i | −1.40575 | − | 0.211883i | ||||
\(928\) | −6.54544 | + | 2.01900i | −0.214865 | + | 0.0662770i | ||||
\(929\) | 1.68638 | − | 22.5032i | 0.0553283 | − | 0.738305i | −0.898695 | − | 0.438574i | \(-0.855484\pi\) |
0.954024 | − | 0.299732i | \(-0.0968971\pi\) | |||||||
\(930\) | −39.0358 | −1.28003 | ||||||||
\(931\) | 10.0624 | − | 13.9908i | 0.329782 | − | 0.458530i | ||||
\(932\) | −55.4323 | −1.81575 | ||||||||
\(933\) | 4.95625 | − | 66.1366i | 0.162260 | − | 2.16521i | ||||
\(934\) | 4.72088 | − | 1.45620i | 0.154472 | − | 0.0476483i | ||||
\(935\) | 4.86013 | + | 0.732547i | 0.158943 | + | 0.0239568i | ||||
\(936\) | −30.3332 | − | 28.1451i | −0.991473 | − | 0.919953i | ||||
\(937\) | −8.24466 | − | 36.1222i | −0.269341 | − | 1.18006i | −0.910782 | − | 0.412889i | \(-0.864520\pi\) |
0.641440 | − | 0.767173i | \(-0.278337\pi\) | |||||||
\(938\) | 3.73690 | + | 8.86715i | 0.122014 | + | 0.289523i | ||||
\(939\) | 19.8567 | − | 86.9978i | 0.647998 | − | 2.83907i | ||||
\(940\) | −14.9169 | + | 10.1702i | −0.486535 | + | 0.331714i | ||||
\(941\) | 8.93640 | − | 8.29176i | 0.291318 | − | 0.270304i | −0.520951 | − | 0.853587i | \(-0.674423\pi\) |
0.812269 | + | 0.583283i | \(0.198232\pi\) | |||||||
\(942\) | −7.71186 | − | 5.25786i | −0.251266 | − | 0.171310i | ||||
\(943\) | −21.2508 | + | 3.20304i | −0.692020 | + | 0.104305i | ||||
\(944\) | −16.9904 | + | 8.18212i | −0.552989 | + | 0.266305i | ||||
\(945\) | 6.76158 | + | 67.6315i | 0.219954 | + | 2.20005i | ||||
\(946\) | −3.14385 | − | 1.51400i | −0.102215 | − | 0.0492243i | ||||
\(947\) | 46.9926 | + | 14.4953i | 1.52706 | + | 0.471034i | 0.940763 | − | 0.339065i | \(-0.110111\pi\) |
0.586293 | + | 0.810099i | \(0.300587\pi\) | |||||||
\(948\) | −4.65029 | + | 11.8487i | −0.151034 | + | 0.384829i | ||||
\(949\) | 0.325078 | + | 0.563052i | 0.0105525 | + | 0.0182774i | ||||
\(950\) | −5.17731 | + | 8.96736i | −0.167974 | + | 0.290940i | ||||
\(951\) | 7.56753 | + | 9.48938i | 0.245394 | + | 0.307714i | ||||
\(952\) | 3.09824 | − | 4.08950i | 0.100415 | − | 0.132542i | ||||
\(953\) | 9.60821 | − | 12.0483i | 0.311241 | − | 0.390283i | −0.601466 | − | 0.798898i | \(-0.705417\pi\) |
0.912707 | + | 0.408615i | \(0.133988\pi\) | |||||||
\(954\) | 6.46011 | + | 16.4601i | 0.209154 | + | 0.532915i | ||||
\(955\) | −1.09275 | − | 14.5818i | −0.0353606 | − | 0.471855i | ||||
\(956\) | 2.81534 | + | 37.5681i | 0.0910546 | + | 1.21504i | ||||
\(957\) | −1.66281 | − | 4.23677i | −0.0537510 | − | 0.136955i | ||||
\(958\) | −0.00662479 | + | 0.00830723i | −0.000214037 | + | 0.000268394i | ||||
\(959\) | −5.33445 | − | 6.35848i | −0.172258 | − | 0.205326i | ||||
\(960\) | −30.6274 | − | 38.4055i | −0.988494 | − | 1.23953i | ||||
\(961\) | −21.1383 | + | 36.6127i | −0.681882 | + | 1.18105i | ||||
\(962\) | −7.10749 | − | 12.3105i | −0.229155 | − | 0.396908i | ||||
\(963\) | 15.3305 | − | 39.0614i | 0.494018 | − | 1.25874i | ||||
\(964\) | −51.8281 | − | 15.9869i | −1.66927 | − | 0.514902i | ||||
\(965\) | 11.1381 | + | 5.36384i | 0.358549 | + | 0.172668i | ||||
\(966\) | −10.4283 | − | 17.0685i | −0.335525 | − | 0.549171i | ||||
\(967\) | −22.1566 | + | 10.6701i | −0.712509 | + | 0.343126i | −0.754778 | − | 0.655980i | \(-0.772256\pi\) |
0.0422690 | + | 0.999106i | \(0.486541\pi\) | |||||||
\(968\) | 1.53186 | − | 0.230890i | 0.0492358 | − | 0.00742110i | ||||
\(969\) | 7.32446 | + | 4.99374i | 0.235296 | + | 0.160422i | ||||
\(970\) | −14.5619 | + | 13.5115i | −0.467554 | + | 0.433827i | ||||
\(971\) | −4.94780 | + | 3.37335i | −0.158782 | + | 0.108256i | −0.640105 | − | 0.768288i | \(-0.721109\pi\) |
0.481322 | + | 0.876544i | \(0.340157\pi\) | |||||||
\(972\) | 4.49953 | − | 19.7137i | 0.144322 | − | 0.632318i | ||||
\(973\) | −47.1454 | − | 13.2691i | −1.51141 | − | 0.425388i | ||||
\(974\) | 2.10037 | + | 9.20233i | 0.0673002 | + | 0.294862i | ||||
\(975\) | −111.241 | − | 103.216i | −3.56255 | − | 3.30557i | ||||
\(976\) | 25.0410 | + | 3.77432i | 0.801542 | + | 0.120813i | ||||
\(977\) | −31.8436 | + | 9.82244i | −1.01877 | + | 0.314248i | −0.758768 | − | 0.651361i | \(-0.774198\pi\) |
−0.259998 | + | 0.965609i | \(0.583722\pi\) | |||||||
\(978\) | 0.433816 | − | 5.78887i | 0.0138719 | − | 0.185108i | ||||
\(979\) | 6.84532 | 0.218777 | ||||||||
\(980\) | −27.3859 | − | 42.4180i | −0.874811 | − | 1.35499i | ||||
\(981\) | 12.0669 | 0.385268 | ||||||||
\(982\) | −1.27515 | + | 17.0157i | −0.0406918 | + | 0.542994i | ||||
\(983\) | 1.28104 | − | 0.395149i | 0.0408588 | − | 0.0126033i | −0.274258 | − | 0.961656i | \(-0.588432\pi\) |
0.315117 | + | 0.949053i | \(0.397956\pi\) | |||||||
\(984\) | 14.5476 | + | 2.19270i | 0.463761 | + | 0.0699007i | ||||
\(985\) | 59.3281 | + | 55.0484i | 1.89035 | + | 1.75399i | ||||
\(986\) | −0.177940 | − | 0.779605i | −0.00566676 | − | 0.0248277i | ||||
\(987\) | −18.7603 | + | 3.30626i | −0.597148 | + | 0.105239i | ||||
\(988\) | −5.09637 | + | 22.3286i | −0.162137 | + | 0.710369i | ||||
\(989\) | 46.4838 | − | 31.6921i | 1.47810 | − | 1.00775i | ||||
\(990\) | −6.12950 | + | 5.68734i | −0.194808 | + | 0.180756i | ||||
\(991\) | 20.7660 | + | 14.1580i | 0.659652 | + | 0.449743i | 0.846316 | − | 0.532680i | \(-0.178815\pi\) |
−0.186664 | + | 0.982424i | \(0.559768\pi\) | |||||||
\(992\) | 36.6443 | − | 5.52324i | 1.16346 | − | 0.175363i | ||||
\(993\) | 14.8985 | − | 7.17475i | 0.472790 | − | 0.227684i | ||||
\(994\) | 7.53425 | − | 7.34741i | 0.238972 | − | 0.233046i | ||||
\(995\) | 39.0509 | + | 18.8059i | 1.23800 | + | 0.596187i | ||||
\(996\) | −59.4608 | − | 18.3412i | −1.88409 | − | 0.581164i | ||||
\(997\) | 3.68911 | − | 9.39971i | 0.116835 | − | 0.297692i | −0.860479 | − | 0.509486i | \(-0.829836\pi\) |
0.977314 | + | 0.211794i | \(0.0679307\pi\) | |||||||
\(998\) | −1.74987 | − | 3.03086i | −0.0553912 | − | 0.0959403i | ||||
\(999\) | −22.7437 | + | 39.3933i | −0.719579 | + | 1.24635i |
(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 | 539.2.r.a.23.14 | ✓ | 276 | |
49.32 | even | 21 | inner | 539.2.r.a.375.14 | yes | 276 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
539.2.r.a.23.14 | ✓ | 276 | 1.1 | even | 1 | trivial | |
539.2.r.a.375.14 | yes | 276 | 49.32 | even | 21 | inner |