Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(29,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.i (of order \(11\), degree \(10\), 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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 85.4 | ||
Character | \(\chi\) | \(=\) | 322.85 |
Dual form | 322.2.i.d.197.4 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.654861 | + | 0.755750i | −0.463056 | + | 0.534396i | ||||
\(3\) | 2.64484 | − | 1.69974i | 1.52700 | − | 0.981343i | 0.536488 | − | 0.843908i | \(-0.319751\pi\) |
0.990511 | − | 0.137435i | \(-0.0438858\pi\) | |||||||
\(4\) | −0.142315 | − | 0.989821i | −0.0711574 | − | 0.494911i | ||||
\(5\) | 0.940662 | + | 2.05976i | 0.420677 | + | 0.921153i | 0.994749 | + | 0.102348i | \(0.0326357\pi\) |
−0.574072 | + | 0.818805i | \(0.694637\pi\) | |||||||
\(6\) | −0.447428 | + | 3.11193i | −0.182662 | + | 1.27044i | ||||
\(7\) | 0.959493 | − | 0.281733i | 0.362654 | − | 0.106485i | ||||
\(8\) | 0.841254 | + | 0.540641i | 0.297428 | + | 0.191145i | ||||
\(9\) | 2.85983 | − | 6.26216i | 0.953278 | − | 2.08739i | ||||
\(10\) | −2.17267 | − | 0.637952i | −0.687057 | − | 0.201738i | ||||
\(11\) | 2.81165 | + | 3.24481i | 0.847743 | + | 0.978348i | 0.999950 | − | 0.0100010i | \(-0.00318346\pi\) |
−0.152207 | + | 0.988349i | \(0.548638\pi\) | |||||||
\(12\) | −2.05883 | − | 2.37602i | −0.594334 | − | 0.685898i | ||||
\(13\) | −6.57624 | − | 1.93096i | −1.82392 | − | 0.535551i | −0.824385 | − | 0.566029i | \(-0.808479\pi\) |
−0.999535 | + | 0.0304777i | \(0.990297\pi\) | |||||||
\(14\) | −0.415415 | + | 0.909632i | −0.111024 | + | 0.243109i | ||||
\(15\) | 5.98895 | + | 3.84886i | 1.54634 | + | 0.993772i | ||||
\(16\) | −0.959493 | + | 0.281733i | −0.239873 | + | 0.0704331i | ||||
\(17\) | −0.656390 | + | 4.56529i | −0.159198 | + | 1.10725i | 0.740918 | + | 0.671595i | \(0.234391\pi\) |
−0.900116 | + | 0.435650i | \(0.856518\pi\) | |||||||
\(18\) | 2.85983 | + | 6.26216i | 0.674069 | + | 1.47601i | ||||
\(19\) | −0.299358 | − | 2.08208i | −0.0686775 | − | 0.477662i | −0.994915 | − | 0.100721i | \(-0.967885\pi\) |
0.926237 | − | 0.376941i | \(-0.123024\pi\) | |||||||
\(20\) | 1.90493 | − | 1.22422i | 0.425954 | − | 0.273744i | ||||
\(21\) | 2.05883 | − | 2.37602i | 0.449275 | − | 0.518490i | ||||
\(22\) | −4.29350 | −0.915378 | ||||||||
\(23\) | −4.50800 | − | 1.63645i | −0.939982 | − | 0.341224i | ||||
\(24\) | 3.14393 | 0.641751 | ||||||||
\(25\) | −0.0834692 | + | 0.0963286i | −0.0166938 | + | 0.0192657i | ||||
\(26\) | 5.76584 | − | 3.70548i | 1.13077 | − | 0.726705i | ||||
\(27\) | −1.73793 | − | 12.0876i | −0.334465 | − | 2.32626i | ||||
\(28\) | −0.415415 | − | 0.909632i | −0.0785061 | − | 0.171904i | ||||
\(29\) | 1.33496 | − | 9.28488i | 0.247897 | − | 1.72416i | −0.362431 | − | 0.932010i | \(-0.618053\pi\) |
0.610328 | − | 0.792149i | \(-0.291038\pi\) | |||||||
\(30\) | −6.83070 | + | 2.00568i | −1.24711 | + | 0.366185i | ||||
\(31\) | 5.45271 | + | 3.50424i | 0.979335 | + | 0.629381i | 0.929284 | − | 0.369366i | \(-0.120425\pi\) |
0.0500513 | + | 0.998747i | \(0.484062\pi\) | |||||||
\(32\) | 0.415415 | − | 0.909632i | 0.0734357 | − | 0.160802i | ||||
\(33\) | 12.9517 | + | 3.80296i | 2.25460 | + | 0.662009i | ||||
\(34\) | −3.02037 | − | 3.48570i | −0.517990 | − | 0.597792i | ||||
\(35\) | 1.48286 | + | 1.71131i | 0.250649 | + | 0.289264i | ||||
\(36\) | −6.60542 | − | 1.93953i | −1.10090 | − | 0.323254i | ||||
\(37\) | −2.83353 | + | 6.20456i | −0.465829 | + | 1.02002i | 0.520291 | + | 0.853989i | \(0.325823\pi\) |
−0.986120 | + | 0.166034i | \(0.946904\pi\) | |||||||
\(38\) | 1.76957 | + | 1.13723i | 0.287062 | + | 0.184484i | ||||
\(39\) | −20.6752 | + | 6.07079i | −3.31068 | + | 0.972105i | ||||
\(40\) | −0.322256 | + | 2.24134i | −0.0509532 | + | 0.354387i | ||||
\(41\) | −0.00243637 | − | 0.00533491i | −0.000380497 | − | 0.000833173i | 0.909442 | − | 0.415832i | \(-0.136509\pi\) |
−0.909822 | + | 0.414998i | \(0.863782\pi\) | |||||||
\(42\) | 0.447428 | + | 3.11193i | 0.0690396 | + | 0.480181i | ||||
\(43\) | −4.17923 | + | 2.68583i | −0.637327 | + | 0.409585i | −0.819016 | − | 0.573771i | \(-0.805480\pi\) |
0.181689 | + | 0.983356i | \(0.441844\pi\) | |||||||
\(44\) | 2.81165 | − | 3.24481i | 0.423872 | − | 0.489174i | ||||
\(45\) | 15.5887 | 2.32382 | ||||||||
\(46\) | 4.18886 | − | 2.33527i | 0.617613 | − | 0.344316i | ||||
\(47\) | −5.83038 | −0.850449 | −0.425224 | − | 0.905088i | \(-0.639805\pi\) | ||||
−0.425224 | + | 0.905088i | \(0.639805\pi\) | |||||||
\(48\) | −2.05883 | + | 2.37602i | −0.297167 | + | 0.342949i | ||||
\(49\) | 0.841254 | − | 0.540641i | 0.120179 | − | 0.0772344i | ||||
\(50\) | −0.0181396 | − | 0.126164i | −0.00256533 | − | 0.0178422i | ||||
\(51\) | 6.02374 | + | 13.1901i | 0.843492 | + | 1.84699i | ||||
\(52\) | −0.975407 | + | 6.78411i | −0.135265 | + | 0.940786i | ||||
\(53\) | 2.03819 | − | 0.598466i | 0.279967 | − | 0.0822056i | −0.138735 | − | 0.990330i | \(-0.544304\pi\) |
0.418701 | + | 0.908124i | \(0.362485\pi\) | |||||||
\(54\) | 10.2733 | + | 6.60225i | 1.39802 | + | 0.898452i | ||||
\(55\) | −4.03873 | + | 8.84359i | −0.544583 | + | 1.19247i | ||||
\(56\) | 0.959493 | + | 0.281733i | 0.128218 | + | 0.0376481i | ||||
\(57\) | −4.33074 | − | 4.99794i | −0.573621 | − | 0.661994i | ||||
\(58\) | 6.14283 | + | 7.08920i | 0.806593 | + | 0.930858i | ||||
\(59\) | 1.91104 | + | 0.561131i | 0.248796 | + | 0.0730531i | 0.403753 | − | 0.914868i | \(-0.367706\pi\) |
−0.154957 | + | 0.987921i | \(0.549524\pi\) | |||||||
\(60\) | 2.95737 | − | 6.47574i | 0.381795 | − | 0.836014i | ||||
\(61\) | −5.19526 | − | 3.33879i | −0.665185 | − | 0.427488i | 0.164002 | − | 0.986460i | \(-0.447560\pi\) |
−0.829187 | + | 0.558972i | \(0.811196\pi\) | |||||||
\(62\) | −6.21909 | + | 1.82609i | −0.789826 | + | 0.231914i | ||||
\(63\) | 0.979735 | − | 6.81421i | 0.123435 | − | 0.858509i | ||||
\(64\) | 0.415415 | + | 0.909632i | 0.0519269 | + | 0.113704i | ||||
\(65\) | −2.20870 | − | 15.3619i | −0.273956 | − | 1.90540i | ||||
\(66\) | −11.3556 | + | 7.29782i | −1.39778 | + | 0.898299i | ||||
\(67\) | 1.90776 | − | 2.20167i | 0.233070 | − | 0.268977i | −0.627152 | − | 0.778897i | \(-0.715780\pi\) |
0.860222 | + | 0.509920i | \(0.170325\pi\) | |||||||
\(68\) | 4.61224 | 0.559316 | ||||||||
\(69\) | −14.7045 | + | 3.33425i | −1.77021 | + | 0.401396i | ||||
\(70\) | −2.26439 | −0.270646 | ||||||||
\(71\) | −1.52006 | + | 1.75424i | −0.180398 | + | 0.208190i | −0.838745 | − | 0.544524i | \(-0.816710\pi\) |
0.658347 | + | 0.752714i | \(0.271256\pi\) | |||||||
\(72\) | 5.79142 | − | 3.72192i | 0.682526 | − | 0.438633i | ||||
\(73\) | 1.61816 | + | 11.2545i | 0.189391 | + | 1.31724i | 0.833589 | + | 0.552385i | \(0.186282\pi\) |
−0.644198 | + | 0.764859i | \(0.722809\pi\) | |||||||
\(74\) | −2.83353 | − | 6.20456i | −0.329391 | − | 0.721265i | ||||
\(75\) | −0.0570296 | + | 0.396649i | −0.00658521 | + | 0.0458011i | ||||
\(76\) | −2.01829 | + | 0.592622i | −0.231513 | + | 0.0679784i | ||||
\(77\) | 3.61192 | + | 2.32124i | 0.411617 | + | 0.264530i | ||||
\(78\) | 8.95139 | − | 19.6008i | 1.01355 | − | 2.21935i | ||||
\(79\) | −15.6381 | − | 4.59176i | −1.75942 | − | 0.516613i | −0.767234 | − | 0.641367i | \(-0.778368\pi\) |
−0.992188 | + | 0.124754i | \(0.960186\pi\) | |||||||
\(80\) | −1.48286 | − | 1.71131i | −0.165789 | − | 0.191330i | ||||
\(81\) | −11.6175 | − | 13.4073i | −1.29084 | − | 1.48970i | ||||
\(82\) | 0.00562734 | + | 0.00165234i | 0.000621436 | + | 0.000182470i | ||||
\(83\) | −1.53280 | + | 3.35637i | −0.168247 | + | 0.368409i | −0.974909 | − | 0.222604i | \(-0.928544\pi\) |
0.806662 | + | 0.591013i | \(0.201272\pi\) | |||||||
\(84\) | −2.64484 | − | 1.69974i | −0.288576 | − | 0.185456i | ||||
\(85\) | −10.0208 | + | 2.94239i | −1.08691 | + | 0.319147i | ||||
\(86\) | 0.707001 | − | 4.91730i | 0.0762379 | − | 0.530246i | ||||
\(87\) | −12.2511 | − | 26.8261i | −1.31345 | − | 2.87606i | ||||
\(88\) | 0.611029 | + | 4.24980i | 0.0651359 | + | 0.453030i | ||||
\(89\) | 0.746861 | − | 0.479979i | 0.0791672 | − | 0.0508776i | −0.500458 | − | 0.865761i | \(-0.666835\pi\) |
0.579626 | + | 0.814883i | \(0.303199\pi\) | |||||||
\(90\) | −10.2084 | + | 11.7811i | −1.07606 | + | 1.24184i | ||||
\(91\) | −6.85387 | −0.718481 | ||||||||
\(92\) | −0.978240 | + | 4.69500i | −0.101989 | + | 0.489488i | ||||
\(93\) | 20.3778 | 2.11308 | ||||||||
\(94\) | 3.81809 | − | 4.40631i | 0.393806 | − | 0.454476i | ||||
\(95\) | 4.00700 | − | 2.57514i | 0.411109 | − | 0.264204i | ||||
\(96\) | −0.447428 | − | 3.11193i | −0.0456654 | − | 0.317610i | ||||
\(97\) | −3.58447 | − | 7.84890i | −0.363948 | − | 0.796935i | −0.999687 | − | 0.0250304i | \(-0.992032\pi\) |
0.635739 | − | 0.771904i | \(-0.280696\pi\) | |||||||
\(98\) | −0.142315 | + | 0.989821i | −0.0143760 | + | 0.0999871i | ||||
\(99\) | 28.3604 | − | 8.32736i | 2.85032 | − | 0.836931i | ||||
\(100\) | 0.107227 | + | 0.0689107i | 0.0107227 | + | 0.00689107i | ||||
\(101\) | −3.04782 | + | 6.67379i | −0.303269 | + | 0.664067i | −0.998502 | − | 0.0547176i | \(-0.982574\pi\) |
0.695232 | + | 0.718785i | \(0.255301\pi\) | |||||||
\(102\) | −13.9132 | − | 4.08527i | −1.37761 | − | 0.404502i | ||||
\(103\) | −0.858301 | − | 0.990532i | −0.0845709 | − | 0.0976001i | 0.711887 | − | 0.702294i | \(-0.247841\pi\) |
−0.796458 | + | 0.604694i | \(0.793295\pi\) | |||||||
\(104\) | −4.48833 | − | 5.17981i | −0.440117 | − | 0.507922i | ||||
\(105\) | 6.83070 | + | 2.00568i | 0.666608 | + | 0.195734i | ||||
\(106\) | −0.882439 | + | 1.93227i | −0.0857100 | + | 0.187679i | ||||
\(107\) | 5.99041 | + | 3.84981i | 0.579115 | + | 0.372175i | 0.797164 | − | 0.603763i | \(-0.206333\pi\) |
−0.218049 | + | 0.975938i | \(0.569969\pi\) | |||||||
\(108\) | −11.7172 | + | 3.44049i | −1.12749 | + | 0.331061i | ||||
\(109\) | 0.390046 | − | 2.71283i | 0.0373597 | − | 0.259842i | −0.962578 | − | 0.271005i | \(-0.912644\pi\) |
0.999938 | + | 0.0111625i | \(0.00355320\pi\) | |||||||
\(110\) | −4.03873 | − | 8.84359i | −0.385078 | − | 0.843203i | ||||
\(111\) | 3.05188 | + | 21.2263i | 0.289672 | + | 2.01471i | ||||
\(112\) | −0.841254 | + | 0.540641i | −0.0794910 | + | 0.0510858i | ||||
\(113\) | 0.236545 | − | 0.272987i | 0.0222523 | − | 0.0256805i | −0.744514 | − | 0.667606i | \(-0.767319\pi\) |
0.766767 | + | 0.641926i | \(0.221864\pi\) | |||||||
\(114\) | 6.61323 | 0.619385 | ||||||||
\(115\) | −0.869798 | − | 10.8247i | −0.0811091 | − | 1.00941i | ||||
\(116\) | −9.38036 | −0.870945 | ||||||||
\(117\) | −30.8989 | + | 35.6592i | −2.85661 | + | 3.29670i | ||||
\(118\) | −1.67554 | + | 1.07680i | −0.154246 | + | 0.0991277i | ||||
\(119\) | 0.656390 | + | 4.56529i | 0.0601711 | + | 0.418499i | ||||
\(120\) | 2.95737 | + | 6.47574i | 0.269970 | + | 0.591151i | ||||
\(121\) | −1.05799 | + | 7.35849i | −0.0961810 | + | 0.668954i | ||||
\(122\) | 5.92546 | − | 1.73987i | 0.536466 | − | 0.157521i | ||||
\(123\) | −0.0155117 | − | 0.00996879i | −0.00139865 | − | 0.000898856i | ||||
\(124\) | 2.69257 | − | 5.89591i | 0.241800 | − | 0.529469i | ||||
\(125\) | 10.5864 | + | 3.10845i | 0.946876 | + | 0.278028i | ||||
\(126\) | 4.50824 | + | 5.20279i | 0.401626 | + | 0.463501i | ||||
\(127\) | 4.54461 | + | 5.24476i | 0.403269 | + | 0.465397i | 0.920668 | − | 0.390347i | \(-0.127645\pi\) |
−0.517399 | + | 0.855744i | \(0.673100\pi\) | |||||||
\(128\) | −0.959493 | − | 0.281733i | −0.0848080 | − | 0.0249019i | ||||
\(129\) | −6.48820 | + | 14.2072i | −0.571255 | + | 1.25087i | ||||
\(130\) | 13.0561 | + | 8.39065i | 1.14510 | + | 0.735909i | ||||
\(131\) | 1.09594 | − | 0.321798i | 0.0957529 | − | 0.0281156i | −0.233505 | − | 0.972356i | \(-0.575020\pi\) |
0.329258 | + | 0.944240i | \(0.393201\pi\) | |||||||
\(132\) | 1.92103 | − | 13.3611i | 0.167204 | − | 1.16293i | ||||
\(133\) | −0.873822 | − | 1.91340i | −0.0757700 | − | 0.165913i | ||||
\(134\) | 0.414596 | + | 2.88358i | 0.0358156 | + | 0.249103i | ||||
\(135\) | 23.2627 | − | 14.9501i | 2.00214 | − | 1.28670i | ||||
\(136\) | −3.02037 | + | 3.48570i | −0.258995 | + | 0.298896i | ||||
\(137\) | 15.5240 | 1.32631 | 0.663153 | − | 0.748484i | \(-0.269218\pi\) | ||||
0.663153 | + | 0.748484i | \(0.269218\pi\) | |||||||
\(138\) | 7.10952 | − | 13.2964i | 0.605202 | − | 1.13186i | ||||
\(139\) | 2.73608 | 0.232072 | 0.116036 | − | 0.993245i | \(-0.462981\pi\) | ||||
0.116036 | + | 0.993245i | \(0.462981\pi\) | |||||||
\(140\) | 1.48286 | − | 1.71131i | 0.125325 | − | 0.144632i | ||||
\(141\) | −15.4204 | + | 9.91011i | −1.29863 | + | 0.834582i | ||||
\(142\) | −0.330341 | − | 2.29757i | −0.0277216 | − | 0.192808i | ||||
\(143\) | −12.2245 | − | 26.7678i | −1.02226 | − | 2.23844i | ||||
\(144\) | −0.979735 | + | 6.81421i | −0.0816446 | + | 0.567851i | ||||
\(145\) | 20.3804 | − | 5.98422i | 1.69250 | − | 0.496963i | ||||
\(146\) | −9.56528 | − | 6.14723i | −0.791628 | − | 0.508748i | ||||
\(147\) | 1.30603 | − | 2.85982i | 0.107720 | − | 0.235874i | ||||
\(148\) | 6.54466 | + | 1.92168i | 0.537967 | + | 0.157962i | ||||
\(149\) | −2.53543 | − | 2.92604i | −0.207710 | − | 0.239710i | 0.642330 | − | 0.766428i | \(-0.277968\pi\) |
−0.850040 | + | 0.526718i | \(0.823422\pi\) | |||||||
\(150\) | −0.262421 | − | 0.302850i | −0.0214266 | − | 0.0247276i | ||||
\(151\) | −17.0314 | − | 5.00086i | −1.38599 | − | 0.406965i | −0.498143 | − | 0.867095i | \(-0.665984\pi\) |
−0.887851 | + | 0.460131i | \(0.847803\pi\) | |||||||
\(152\) | 0.873822 | − | 1.91340i | 0.0708764 | − | 0.155198i | ||||
\(153\) | 26.7114 | + | 17.1664i | 2.15949 | + | 1.38782i | ||||
\(154\) | −4.11958 | + | 1.20962i | −0.331966 | + | 0.0974739i | ||||
\(155\) | −2.08875 | + | 14.5276i | −0.167773 | + | 1.16688i | ||||
\(156\) | 8.95139 | + | 19.6008i | 0.716685 | + | 1.56932i | ||||
\(157\) | 0.413046 | + | 2.87280i | 0.0329647 | + | 0.229274i | 0.999643 | − | 0.0267200i | \(-0.00850625\pi\) |
−0.966678 | + | 0.255994i | \(0.917597\pi\) | |||||||
\(158\) | 13.7110 | − | 8.81151i | 1.09079 | − | 0.701006i | ||||
\(159\) | 4.37345 | − | 5.04723i | 0.346837 | − | 0.400271i | ||||
\(160\) | 2.26439 | 0.179016 | ||||||||
\(161\) | −4.78643 | − | 0.300115i | −0.377224 | − | 0.0236524i | ||||
\(162\) | 17.7405 | 1.39382 | ||||||||
\(163\) | 4.05703 | − | 4.68206i | 0.317771 | − | 0.366727i | −0.574283 | − | 0.818657i | \(-0.694719\pi\) |
0.892053 | + | 0.451930i | \(0.149264\pi\) | |||||||
\(164\) | −0.00493388 | + | 0.00317081i | −0.000385271 | + | 0.000247599i | ||||
\(165\) | 4.34996 | + | 30.2547i | 0.338644 | + | 2.35532i | ||||
\(166\) | −1.53280 | − | 3.35637i | −0.118968 | − | 0.260504i | ||||
\(167\) | −1.20756 | + | 8.39877i | −0.0934439 | + | 0.649917i | 0.888237 | + | 0.459385i | \(0.151930\pi\) |
−0.981681 | + | 0.190531i | \(0.938979\pi\) | |||||||
\(168\) | 3.01658 | − | 0.885747i | 0.232734 | − | 0.0683368i | ||||
\(169\) | 28.5820 | + | 18.3686i | 2.19862 | + | 1.41297i | ||||
\(170\) | 4.33855 | − | 9.50010i | 0.332752 | − | 0.728625i | ||||
\(171\) | −13.8944 | − | 4.07978i | −1.06253 | − | 0.311988i | ||||
\(172\) | 3.25326 | + | 3.75446i | 0.248059 | + | 0.286275i | ||||
\(173\) | 6.82853 | + | 7.88054i | 0.519163 | + | 0.599147i | 0.953421 | − | 0.301642i | \(-0.0975348\pi\) |
−0.434258 | + | 0.900789i | \(0.642989\pi\) | |||||||
\(174\) | 28.2966 | + | 8.30862i | 2.14516 | + | 0.629875i | ||||
\(175\) | −0.0529492 | + | 0.115943i | −0.00400259 | + | 0.00876444i | ||||
\(176\) | −3.61192 | − | 2.32124i | −0.272259 | − | 0.174970i | ||||
\(177\) | 6.00816 | − | 1.76416i | 0.451601 | − | 0.132602i | ||||
\(178\) | −0.126347 | + | 0.878759i | −0.00947007 | + | 0.0658658i | ||||
\(179\) | −6.29654 | − | 13.7875i | −0.470626 | − | 1.03053i | −0.984935 | − | 0.172922i | \(-0.944679\pi\) |
0.514310 | − | 0.857605i | \(-0.328048\pi\) | |||||||
\(180\) | −2.21850 | − | 15.4300i | −0.165357 | − | 1.15009i | ||||
\(181\) | 10.5094 | − | 6.75397i | 0.781157 | − | 0.502019i | −0.0882607 | − | 0.996097i | \(-0.528131\pi\) |
0.869417 | + | 0.494079i | \(0.164494\pi\) | |||||||
\(182\) | 4.48833 | − | 5.17981i | 0.332697 | − | 0.383953i | ||||
\(183\) | −19.4157 | −1.43525 | ||||||||
\(184\) | −2.90763 | − | 3.81388i | −0.214354 | − | 0.281163i | ||||
\(185\) | −15.4453 | −1.13556 | ||||||||
\(186\) | −13.3446 | + | 15.4005i | −0.978476 | + | 1.12922i | ||||
\(187\) | −16.6590 | + | 10.7061i | −1.21823 | + | 0.782909i | ||||
\(188\) | 0.829750 | + | 5.77104i | 0.0605157 | + | 0.420896i | ||||
\(189\) | −5.07300 | − | 11.1083i | −0.369007 | − | 0.808012i | ||||
\(190\) | −0.677864 | + | 4.71465i | −0.0491774 | + | 0.342036i | ||||
\(191\) | 23.0895 | − | 6.77970i | 1.67070 | − | 0.490562i | 0.696748 | − | 0.717316i | \(-0.254629\pi\) |
0.973952 | + | 0.226754i | \(0.0728112\pi\) | |||||||
\(192\) | 2.64484 | + | 1.69974i | 0.190875 | + | 0.122668i | ||||
\(193\) | 1.71013 | − | 3.74465i | 0.123098 | − | 0.269546i | −0.838044 | − | 0.545603i | \(-0.816301\pi\) |
0.961141 | + | 0.276057i | \(0.0890279\pi\) | |||||||
\(194\) | 8.27913 | + | 2.43097i | 0.594407 | + | 0.174534i | ||||
\(195\) | −31.9528 | − | 36.8755i | −2.28819 | − | 2.64071i | ||||
\(196\) | −0.654861 | − | 0.755750i | −0.0467758 | − | 0.0539821i | ||||
\(197\) | 10.2185 | + | 3.00043i | 0.728040 | + | 0.213772i | 0.624689 | − | 0.780873i | \(-0.285226\pi\) |
0.103350 | + | 0.994645i | \(0.467044\pi\) | |||||||
\(198\) | −12.2787 | + | 26.8866i | −0.872609 | + | 1.91075i | ||||
\(199\) | 18.9060 | + | 12.1501i | 1.34021 | + | 0.861300i | 0.996958 | − | 0.0779437i | \(-0.0248354\pi\) |
0.343251 | + | 0.939244i | \(0.388472\pi\) | |||||||
\(200\) | −0.122298 | + | 0.0359099i | −0.00864777 | + | 0.00253922i | ||||
\(201\) | 1.30346 | − | 9.06575i | 0.0919389 | − | 0.639449i | ||||
\(202\) | −3.04782 | − | 6.67379i | −0.214444 | − | 0.469567i | ||||
\(203\) | −1.33496 | − | 9.28488i | −0.0936961 | − | 0.651671i | ||||
\(204\) | 12.1986 | − | 7.83958i | 0.854075 | − | 0.548880i | ||||
\(205\) | 0.00869684 | − | 0.0100367i | 0.000607414 | − | 0.000700993i | ||||
\(206\) | 1.31066 | 0.0913182 | ||||||||
\(207\) | −23.1398 | + | 23.5498i | −1.60833 | + | 1.63683i | ||||
\(208\) | 6.85387 | 0.475230 | ||||||||
\(209\) | 5.91428 | − | 6.82544i | 0.409099 | − | 0.472125i | ||||
\(210\) | −5.98895 | + | 3.84886i | −0.413277 | + | 0.265597i | ||||
\(211\) | −3.04477 | − | 21.1768i | −0.209610 | − | 1.45787i | −0.774431 | − | 0.632659i | \(-0.781964\pi\) |
0.564820 | − | 0.825214i | \(-0.308945\pi\) | |||||||
\(212\) | −0.882439 | − | 1.93227i | −0.0606061 | − | 0.132709i | ||||
\(213\) | −1.03857 | + | 7.22339i | −0.0711614 | + | 0.494939i | ||||
\(214\) | −6.83238 | + | 2.00617i | −0.467052 | + | 0.137139i | ||||
\(215\) | −9.46342 | − | 6.08177i | −0.645400 | − | 0.414773i | ||||
\(216\) | 5.07300 | − | 11.1083i | 0.345174 | − | 0.755826i | ||||
\(217\) | 6.21909 | + | 1.82609i | 0.422180 | + | 0.123963i | ||||
\(218\) | 1.79480 | + | 2.07130i | 0.121559 | + | 0.140286i | ||||
\(219\) | 23.4095 | + | 27.0160i | 1.58187 | + | 1.82557i | ||||
\(220\) | 9.32835 | + | 2.73905i | 0.628917 | + | 0.184667i | ||||
\(221\) | 13.1320 | − | 28.7550i | 0.883351 | − | 1.93427i | ||||
\(222\) | −18.0403 | − | 11.5938i | −1.21079 | − | 0.778126i | ||||
\(223\) | −11.7796 | + | 3.45880i | −0.788819 | + | 0.231618i | −0.651239 | − | 0.758872i | \(-0.725751\pi\) |
−0.137580 | + | 0.990491i | \(0.543932\pi\) | |||||||
\(224\) | 0.142315 | − | 0.989821i | 0.00950881 | − | 0.0661352i | ||||
\(225\) | 0.364517 | + | 0.798182i | 0.0243012 | + | 0.0532121i | ||||
\(226\) | 0.0514061 | + | 0.357537i | 0.00341948 | + | 0.0237830i | ||||
\(227\) | 2.41028 | − | 1.54899i | 0.159976 | − | 0.102810i | −0.458204 | − | 0.888847i | \(-0.651507\pi\) |
0.618179 | + | 0.786037i | \(0.287871\pi\) | |||||||
\(228\) | −4.33074 | + | 4.99794i | −0.286810 | + | 0.330997i | ||||
\(229\) | 1.45679 | 0.0962675 | 0.0481337 | − | 0.998841i | \(-0.484673\pi\) | ||||
0.0481337 | + | 0.998841i | \(0.484673\pi\) | |||||||
\(230\) | 8.75039 | + | 6.43135i | 0.576984 | + | 0.424071i | ||||
\(231\) | 13.4985 | 0.888133 | ||||||||
\(232\) | 6.14283 | − | 7.08920i | 0.403296 | − | 0.465429i | ||||
\(233\) | −2.45342 | + | 1.57671i | −0.160729 | + | 0.103294i | −0.618533 | − | 0.785759i | \(-0.712273\pi\) |
0.457804 | + | 0.889053i | \(0.348636\pi\) | |||||||
\(234\) | −6.71498 | − | 46.7037i | −0.438972 | − | 3.05312i | ||||
\(235\) | −5.48442 | − | 12.0092i | −0.357764 | − | 0.783394i | ||||
\(236\) | 0.283451 | − | 1.97144i | 0.0184511 | − | 0.128330i | ||||
\(237\) | −49.1650 | + | 14.4361i | −3.19361 | + | 0.937728i | ||||
\(238\) | −3.88006 | − | 2.49356i | −0.251507 | − | 0.161634i | ||||
\(239\) | 5.93612 | − | 12.9983i | 0.383976 | − | 0.840789i | −0.614671 | − | 0.788783i | \(-0.710711\pi\) |
0.998647 | − | 0.0520058i | \(-0.0165614\pi\) | |||||||
\(240\) | −6.83070 | − | 2.00568i | −0.440920 | − | 0.129466i | ||||
\(241\) | −0.551565 | − | 0.636540i | −0.0355294 | − | 0.0410031i | 0.737707 | − | 0.675121i | \(-0.235909\pi\) |
−0.773236 | + | 0.634118i | \(0.781363\pi\) | |||||||
\(242\) | −4.86834 | − | 5.61836i | −0.312949 | − | 0.361162i | ||||
\(243\) | −18.3638 | − | 5.39209i | −1.17804 | − | 0.345903i | ||||
\(244\) | −2.56544 | + | 5.61754i | −0.164236 | + | 0.359626i | ||||
\(245\) | 1.90493 | + | 1.22422i | 0.121701 | + | 0.0782126i | ||||
\(246\) | 0.0176919 | − | 0.00519482i | 0.00112800 | − | 0.000331210i | ||||
\(247\) | −2.05176 | + | 14.2703i | −0.130550 | + | 0.907999i | ||||
\(248\) | 2.69257 | + | 5.89591i | 0.170979 | + | 0.374391i | ||||
\(249\) | 1.65092 | + | 11.4824i | 0.104623 | + | 0.727668i | ||||
\(250\) | −9.28183 | + | 5.96507i | −0.587034 | + | 0.377264i | ||||
\(251\) | −19.5114 | + | 22.5174i | −1.23155 | + | 1.42129i | −0.358589 | + | 0.933495i | \(0.616742\pi\) |
−0.872961 | + | 0.487790i | \(0.837803\pi\) | |||||||
\(252\) | −6.88428 | −0.433669 | ||||||||
\(253\) | −7.36491 | − | 19.2287i | −0.463028 | − | 1.20890i | ||||
\(254\) | −6.93981 | −0.435442 | ||||||||
\(255\) | −21.5023 | + | 24.8149i | −1.34652 | + | 1.55397i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | 0.889072 | + | 6.18363i | 0.0554588 | + | 0.385724i | 0.998580 | + | 0.0532749i | \(0.0169660\pi\) |
−0.943121 | + | 0.332449i | \(0.892125\pi\) | |||||||
\(258\) | −6.48820 | − | 14.2072i | −0.403938 | − | 0.884501i | ||||
\(259\) | −0.970723 | + | 6.75153i | −0.0603178 | + | 0.419519i | ||||
\(260\) | −14.8912 | + | 4.37244i | −0.923511 | + | 0.271167i | ||||
\(261\) | −54.3256 | − | 34.9130i | −3.36267 | − | 2.16106i | ||||
\(262\) | −0.474491 | + | 1.03899i | −0.0293142 | + | 0.0641891i | ||||
\(263\) | 18.1065 | + | 5.31656i | 1.11650 | + | 0.327833i | 0.787387 | − | 0.616459i | \(-0.211433\pi\) |
0.329109 | + | 0.944292i | \(0.393252\pi\) | |||||||
\(264\) | 8.83961 | + | 10.2015i | 0.544040 | + | 0.627856i | ||||
\(265\) | 3.14994 | + | 3.63523i | 0.193499 | + | 0.223310i | ||||
\(266\) | 2.01829 | + | 0.592622i | 0.123749 | + | 0.0363360i | ||||
\(267\) | 1.15949 | − | 2.53893i | 0.0709598 | − | 0.155380i | ||||
\(268\) | −2.45076 | − | 1.57501i | −0.149704 | − | 0.0962091i | ||||
\(269\) | 12.3421 | − | 3.62397i | 0.752511 | − | 0.220957i | 0.117088 | − | 0.993122i | \(-0.462644\pi\) |
0.635423 | + | 0.772164i | \(0.280826\pi\) | |||||||
\(270\) | −3.93536 | + | 27.3710i | −0.239498 | + | 1.66575i | ||||
\(271\) | 0.620962 | + | 1.35972i | 0.0377207 | + | 0.0825969i | 0.927554 | − | 0.373688i | \(-0.121907\pi\) |
−0.889834 | + | 0.456285i | \(0.849180\pi\) | |||||||
\(272\) | −0.656390 | − | 4.56529i | −0.0397995 | − | 0.276811i | ||||
\(273\) | −18.1274 | + | 11.6498i | −1.09712 | + | 0.705076i | ||||
\(274\) | −10.1661 | + | 11.7323i | −0.614154 | + | 0.708772i | ||||
\(275\) | −0.547254 | −0.0330007 | ||||||||
\(276\) | 5.39297 | + | 14.0803i | 0.324619 | + | 0.847533i | ||||
\(277\) | 26.9113 | 1.61694 | 0.808472 | − | 0.588535i | \(-0.200295\pi\) | ||||
0.808472 | + | 0.588535i | \(0.200295\pi\) | |||||||
\(278\) | −1.79175 | + | 2.06779i | −0.107462 | + | 0.124018i | ||||
\(279\) | 37.5380 | − | 24.1242i | 2.24734 | − | 1.44428i | ||||
\(280\) | 0.322256 | + | 2.24134i | 0.0192585 | + | 0.133946i | ||||
\(281\) | −0.399497 | − | 0.874777i | −0.0238320 | − | 0.0521848i | 0.897342 | − | 0.441336i | \(-0.145495\pi\) |
−0.921174 | + | 0.389152i | \(0.872768\pi\) | |||||||
\(282\) | 2.60867 | − | 18.1437i | 0.155344 | − | 1.08044i | ||||
\(283\) | −11.7791 | + | 3.45865i | −0.700193 | + | 0.205595i | −0.612405 | − | 0.790544i | \(-0.709798\pi\) |
−0.0877880 | + | 0.996139i | \(0.527980\pi\) | |||||||
\(284\) | 1.95271 | + | 1.25493i | 0.115872 | + | 0.0744666i | ||||
\(285\) | 6.22081 | − | 13.6217i | 0.368489 | − | 0.806878i | ||||
\(286\) | 28.2351 | + | 8.29057i | 1.66958 | + | 0.490232i | ||||
\(287\) | −0.00384070 | − | 0.00443240i | −0.000226709 | − | 0.000261636i | ||||
\(288\) | −4.50824 | − | 5.20279i | −0.265651 | − | 0.306577i | ||||
\(289\) | −4.09964 | − | 1.20376i | −0.241155 | − | 0.0708096i | ||||
\(290\) | −8.82374 | + | 19.3213i | −0.518148 | + | 1.13459i | ||||
\(291\) | −22.8214 | − | 14.6664i | −1.33781 | − | 0.859761i | ||||
\(292\) | 10.9097 | − | 3.20337i | 0.638441 | − | 0.187463i | ||||
\(293\) | 2.26478 | − | 15.7519i | 0.132310 | − | 0.920236i | −0.810223 | − | 0.586122i | \(-0.800654\pi\) |
0.942533 | − | 0.334114i | \(-0.108437\pi\) | |||||||
\(294\) | 1.30603 | + | 2.85982i | 0.0761695 | + | 0.166788i | ||||
\(295\) | 0.641843 | + | 4.46412i | 0.0373695 | + | 0.259911i | ||||
\(296\) | −5.73815 | + | 3.68769i | −0.333523 | + | 0.214342i | ||||
\(297\) | 34.3355 | − | 39.6253i | 1.99235 | − | 2.29929i | ||||
\(298\) | 3.87170 | 0.224282 | ||||||||
\(299\) | 26.4857 | + | 19.4665i | 1.53171 | + | 1.12577i | ||||
\(300\) | 0.400728 | 0.0231361 | ||||||||
\(301\) | −3.25326 | + | 3.75446i | −0.187515 | + | 0.216404i | ||||
\(302\) | 14.9326 | − | 9.59659i | 0.859274 | − | 0.552222i | ||||
\(303\) | 3.28269 | + | 22.8316i | 0.188586 | + | 1.31164i | ||||
\(304\) | 0.873822 | + | 1.91340i | 0.0501171 | + | 0.109741i | ||||
\(305\) | 1.99013 | − | 13.8417i | 0.113955 | − | 0.792571i | ||||
\(306\) | −30.4657 | + | 8.94555i | −1.74161 | + | 0.511383i | ||||
\(307\) | −2.22163 | − | 1.42775i | −0.126795 | − | 0.0814862i | 0.475706 | − | 0.879604i | \(-0.342193\pi\) |
−0.602501 | + | 0.798118i | \(0.705829\pi\) | |||||||
\(308\) | 1.78359 | − | 3.90551i | 0.101629 | − | 0.222537i | ||||
\(309\) | −3.95371 | − | 1.16091i | −0.224919 | − | 0.0660421i | ||||
\(310\) | −9.61137 | − | 11.0921i | −0.545889 | − | 0.629990i | ||||
\(311\) | −7.23073 | − | 8.34470i | −0.410017 | − | 0.473185i | 0.512753 | − | 0.858536i | \(-0.328626\pi\) |
−0.922770 | + | 0.385351i | \(0.874080\pi\) | |||||||
\(312\) | −20.6752 | − | 6.07079i | −1.17050 | − | 0.343691i | ||||
\(313\) | 1.30081 | − | 2.84838i | 0.0735263 | − | 0.161000i | −0.869300 | − | 0.494285i | \(-0.835430\pi\) |
0.942826 | + | 0.333285i | \(0.108157\pi\) | |||||||
\(314\) | −2.44160 | − | 1.56912i | −0.137788 | − | 0.0885508i | ||||
\(315\) | 14.9572 | − | 4.39184i | 0.842745 | − | 0.247452i | ||||
\(316\) | −2.31949 | + | 16.1324i | −0.130481 | + | 0.907518i | ||||
\(317\) | 7.40142 | + | 16.2068i | 0.415705 | + | 0.910267i | 0.995434 | + | 0.0954572i | \(0.0304313\pi\) |
−0.579729 | + | 0.814810i | \(0.696841\pi\) | |||||||
\(318\) | 0.950441 | + | 6.61046i | 0.0532981 | + | 0.370696i | ||||
\(319\) | 33.8811 | − | 21.7741i | 1.89698 | − | 1.21911i | ||||
\(320\) | −1.48286 | + | 1.71131i | −0.0828944 | + | 0.0956652i | ||||
\(321\) | 22.3873 | 1.24954 | ||||||||
\(322\) | 3.36126 | − | 3.42081i | 0.187316 | − | 0.190634i | ||||
\(323\) | 9.70180 | 0.539823 | ||||||||
\(324\) | −11.6175 | + | 13.4073i | −0.645418 | + | 0.744852i | ||||
\(325\) | 0.734920 | − | 0.472305i | 0.0407660 | − | 0.0261987i | ||||
\(326\) | 0.881676 | + | 6.13219i | 0.0488315 | + | 0.339631i | ||||
\(327\) | −3.57949 | − | 7.83798i | −0.197946 | − | 0.433441i | ||||
\(328\) | 0.000834664 | − | 0.00580521i | 4.60866e−5 | − | 0.000320539i | ||||
\(329\) | −5.59421 | + | 1.64261i | −0.308419 | + | 0.0905600i | ||||
\(330\) | −25.7136 | − | 16.5251i | −1.41548 | − | 0.909677i | ||||
\(331\) | 10.5019 | − | 22.9958i | 0.577234 | − | 1.26397i | −0.365621 | − | 0.930764i | \(-0.619144\pi\) |
0.942855 | − | 0.333202i | \(-0.108129\pi\) | |||||||
\(332\) | 3.54034 | + | 1.03954i | 0.194302 | + | 0.0570521i | ||||
\(333\) | 30.7505 | + | 35.4880i | 1.68512 | + | 1.94473i | ||||
\(334\) | −5.55659 | − | 6.41264i | −0.304043 | − | 0.350884i | ||||
\(335\) | 6.32947 | + | 1.85850i | 0.345816 | + | 0.101541i | ||||
\(336\) | −1.30603 | + | 2.85982i | −0.0712500 | + | 0.156016i | ||||
\(337\) | −22.5333 | − | 14.4813i | −1.22747 | − | 0.788844i | −0.243971 | − | 0.969783i | \(-0.578450\pi\) |
−0.983494 | + | 0.180939i | \(0.942086\pi\) | |||||||
\(338\) | −32.5993 | + | 9.57201i | −1.77317 | + | 0.520649i | ||||
\(339\) | 0.161617 | − | 1.12407i | 0.00877784 | − | 0.0610512i | ||||
\(340\) | 4.33855 | + | 9.50010i | 0.235291 | + | 0.515216i | ||||
\(341\) | 3.96047 | + | 27.5457i | 0.214472 | + | 1.49168i | ||||
\(342\) | 12.1822 | − | 7.82904i | 0.658739 | − | 0.423346i | ||||
\(343\) | 0.654861 | − | 0.755750i | 0.0353592 | − | 0.0408066i | ||||
\(344\) | −4.96787 | −0.267849 | ||||||||
\(345\) | −20.6997 | − | 27.1513i | −1.11443 | − | 1.46178i | ||||
\(346\) | −10.4275 | −0.560583 | ||||||||
\(347\) | 1.44414 | − | 1.66663i | 0.0775256 | − | 0.0894693i | −0.715662 | − | 0.698447i | \(-0.753875\pi\) |
0.793187 | + | 0.608978i | \(0.208420\pi\) | |||||||
\(348\) | −24.8095 | + | 15.9441i | −1.32993 | + | 0.854695i | ||||
\(349\) | 1.03613 | + | 7.20647i | 0.0554630 | + | 0.385754i | 0.998579 | + | 0.0532899i | \(0.0169708\pi\) |
−0.943116 | + | 0.332464i | \(0.892120\pi\) | |||||||
\(350\) | −0.0529492 | − | 0.115943i | −0.00283026 | − | 0.00619740i | ||||
\(351\) | −11.9116 | + | 82.8468i | −0.635792 | + | 4.42203i | ||||
\(352\) | 4.11958 | − | 1.20962i | 0.219575 | − | 0.0644729i | ||||
\(353\) | −16.0502 | − | 10.3148i | −0.854264 | − | 0.549002i | 0.0386380 | − | 0.999253i | \(-0.487698\pi\) |
−0.892902 | + | 0.450251i | \(0.851334\pi\) | |||||||
\(354\) | −2.60125 | + | 5.69594i | −0.138255 | + | 0.302736i | ||||
\(355\) | −5.04318 | − | 1.48081i | −0.267664 | − | 0.0785934i | ||||
\(356\) | −0.581383 | − | 0.670951i | −0.0308132 | − | 0.0355604i | ||||
\(357\) | 9.49583 | + | 10.9588i | 0.502573 | + | 0.580000i | ||||
\(358\) | 14.5433 | + | 4.27029i | 0.768635 | + | 0.225692i | ||||
\(359\) | −0.763993 | + | 1.67291i | −0.0403220 | + | 0.0882929i | −0.928721 | − | 0.370779i | \(-0.879091\pi\) |
0.888399 | + | 0.459072i | \(0.151818\pi\) | |||||||
\(360\) | 13.1140 | + | 8.42788i | 0.691171 | + | 0.444188i | ||||
\(361\) | 13.9849 | − | 4.10634i | 0.736048 | − | 0.216123i | ||||
\(362\) | −1.77787 | + | 12.3654i | −0.0934429 | + | 0.649910i | ||||
\(363\) | 9.70927 | + | 21.2603i | 0.509604 | + | 1.11588i | ||||
\(364\) | 0.975407 | + | 6.78411i | 0.0511252 | + | 0.355584i | ||||
\(365\) | −21.6595 | + | 13.9197i | −1.13371 | + | 0.728592i | ||||
\(366\) | 12.7146 | − | 14.6734i | 0.664601 | − | 0.766991i | ||||
\(367\) | −9.11542 | −0.475821 | −0.237911 | − | 0.971287i | \(-0.576463\pi\) | ||||
−0.237911 | + | 0.971287i | \(0.576463\pi\) | |||||||
\(368\) | 4.78643 | + | 0.300115i | 0.249510 | + | 0.0156446i | ||||
\(369\) | −0.0403757 | −0.00210187 | ||||||||
\(370\) | 10.1145 | − | 11.6728i | 0.525829 | − | 0.606839i | ||||
\(371\) | 1.78702 | − | 1.14845i | 0.0927774 | − | 0.0596244i | ||||
\(372\) | −2.90007 | − | 20.1704i | −0.150361 | − | 1.04579i | ||||
\(373\) | −8.32273 | − | 18.2242i | −0.430935 | − | 0.943615i | −0.993174 | − | 0.116641i | \(-0.962787\pi\) |
0.562240 | − | 0.826974i | \(-0.309940\pi\) | |||||||
\(374\) | 2.81821 | − | 19.6011i | 0.145726 | − | 1.01355i | ||||
\(375\) | 33.2829 | − | 9.77273i | 1.71872 | − | 0.504662i | ||||
\(376\) | −4.90483 | − | 3.15214i | −0.252947 | − | 0.162559i | ||||
\(377\) | −26.7078 | + | 58.4818i | −1.37552 | + | 3.01197i | ||||
\(378\) | 11.7172 | + | 3.44049i | 0.602669 | + | 0.176960i | ||||
\(379\) | −9.19772 | − | 10.6147i | −0.472455 | − | 0.545242i | 0.468638 | − | 0.883390i | \(-0.344745\pi\) |
−0.941093 | + | 0.338148i | \(0.890199\pi\) | |||||||
\(380\) | −3.11918 | − | 3.59973i | −0.160011 | − | 0.184662i | ||||
\(381\) | 20.9345 | + | 6.14691i | 1.07251 | + | 0.314916i | ||||
\(382\) | −9.99668 | + | 21.8897i | −0.511475 | + | 1.11997i | ||||
\(383\) | 5.70638 | + | 3.66727i | 0.291583 | + | 0.187389i | 0.678251 | − | 0.734830i | \(-0.262738\pi\) |
−0.386669 | + | 0.922219i | \(0.626374\pi\) | |||||||
\(384\) | −3.01658 | + | 0.885747i | −0.153939 | + | 0.0452006i | ||||
\(385\) | −1.38361 | + | 9.62320i | −0.0705152 | + | 0.490444i | ||||
\(386\) | 1.71013 | + | 3.74465i | 0.0870431 | + | 0.190598i | ||||
\(387\) | 4.86719 | + | 33.8521i | 0.247413 | + | 1.72080i | ||||
\(388\) | −7.25888 | + | 4.66500i | −0.368514 | + | 0.236830i | ||||
\(389\) | −0.158095 | + | 0.182451i | −0.00801573 | + | 0.00925064i | −0.759743 | − | 0.650223i | \(-0.774675\pi\) |
0.751728 | + | 0.659474i | \(0.229221\pi\) | |||||||
\(390\) | 48.7932 | 2.47074 | ||||||||
\(391\) | 10.4299 | − | 19.5062i | 0.527462 | − | 0.986469i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | 2.35162 | − | 2.71392i | 0.118624 | − | 0.136899i | ||||
\(394\) | −8.95928 | + | 5.75778i | −0.451362 | + | 0.290073i | ||||
\(395\) | −5.25222 | − | 36.5300i | −0.264268 | − | 1.83802i | ||||
\(396\) | −12.2787 | − | 26.8866i | −0.617028 | − | 1.35110i | ||||
\(397\) | 4.72193 | − | 32.8417i | 0.236987 | − | 1.64828i | −0.429722 | − | 0.902961i | \(-0.641388\pi\) |
0.666709 | − | 0.745318i | \(-0.267702\pi\) | |||||||
\(398\) | −21.5632 | + | 6.33154i | −1.08087 | + | 0.317371i | ||||
\(399\) | −5.56340 | − | 3.57538i | −0.278518 | − | 0.178993i | ||||
\(400\) | 0.0529492 | − | 0.115943i | 0.00264746 | − | 0.00579713i | ||||
\(401\) | −4.37144 | − | 1.28357i | −0.218299 | − | 0.0640984i | 0.170754 | − | 0.985314i | \(-0.445380\pi\) |
−0.389053 | + | 0.921215i | \(0.627198\pi\) | |||||||
\(402\) | 5.99786 | + | 6.92190i | 0.299146 | + | 0.345233i | ||||
\(403\) | −29.0918 | − | 33.5737i | −1.44916 | − | 1.67242i | ||||
\(404\) | 7.03961 | + | 2.06702i | 0.350234 | + | 0.102838i | ||||
\(405\) | 16.6878 | − | 36.5411i | 0.829222 | − | 1.81574i | ||||
\(406\) | 7.89126 | + | 5.07141i | 0.391637 | + | 0.251690i | ||||
\(407\) | −28.0995 | + | 8.25076i | −1.39284 | + | 0.408975i | ||||
\(408\) | −2.06364 | + | 14.3529i | −0.102165 | + | 0.710576i | ||||
\(409\) | −12.5692 | − | 27.5227i | −0.621508 | − | 1.36091i | −0.914418 | − | 0.404772i | \(-0.867351\pi\) |
0.292910 | − | 0.956140i | \(-0.405376\pi\) | |||||||
\(410\) | 0.00189000 | + | 0.0131453i | 9.33406e−5 | + | 0.000649198i | ||||
\(411\) | 41.0585 | − | 26.3867i | 2.02527 | − | 1.30156i | ||||
\(412\) | −0.858301 | + | 0.990532i | −0.0422855 | + | 0.0488000i | ||||
\(413\) | 1.99172 | 0.0980059 | ||||||||
\(414\) | −2.64439 | − | 32.9098i | −0.129965 | − | 1.61743i | ||||
\(415\) | −8.35516 | −0.410139 | ||||||||
\(416\) | −4.48833 | + | 5.17981i | −0.220058 | + | 0.253961i | ||||
\(417\) | 7.23650 | − | 4.65062i | 0.354373 | − | 0.227742i | ||||
\(418\) | 1.28529 | + | 8.93942i | 0.0628658 | + | 0.437241i | ||||
\(419\) | 0.781572 | + | 1.71140i | 0.0381823 | + | 0.0836075i | 0.927762 | − | 0.373172i | \(-0.121730\pi\) |
−0.889580 | + | 0.456780i | \(0.849003\pi\) | |||||||
\(420\) | 1.01315 | − | 7.04661i | 0.0494367 | − | 0.343840i | ||||
\(421\) | 2.04448 | − | 0.600313i | 0.0996417 | − | 0.0292574i | −0.231532 | − | 0.972827i | \(-0.574374\pi\) |
0.331173 | + | 0.943570i | \(0.392556\pi\) | |||||||
\(422\) | 17.9983 | + | 11.5668i | 0.876142 | + | 0.563062i | ||||
\(423\) | −16.6739 | + | 36.5108i | −0.810714 | + | 1.77522i | ||||
\(424\) | 2.03819 | + | 0.598466i | 0.0989832 | + | 0.0290641i | ||||
\(425\) | −0.384980 | − | 0.444290i | −0.0186743 | − | 0.0215512i | ||||
\(426\) | −4.77896 | − | 5.51521i | −0.231541 | − | 0.267213i | ||||
\(427\) | −5.92546 | − | 1.73987i | −0.286753 | − | 0.0841983i | ||||
\(428\) | 2.95810 | − | 6.47732i | 0.142985 | − | 0.313093i | ||||
\(429\) | −77.8300 | − | 50.0183i | −3.75767 | − | 2.41491i | ||||
\(430\) | 10.7935 | − | 3.16926i | 0.520509 | − | 0.152835i | ||||
\(431\) | −3.49141 | + | 24.2833i | −0.168175 | + | 1.16969i | 0.714477 | + | 0.699659i | \(0.246665\pi\) |
−0.882652 | + | 0.470026i | \(0.844244\pi\) | |||||||
\(432\) | 5.07300 | + | 11.1083i | 0.244075 | + | 0.534450i | ||||
\(433\) | 0.873779 | + | 6.07726i | 0.0419911 | + | 0.292055i | 0.999986 | + | 0.00526972i | \(0.00167741\pi\) |
−0.957995 | + | 0.286785i | \(0.907413\pi\) | |||||||
\(434\) | −5.45271 | + | 3.50424i | −0.261738 | + | 0.168209i | ||||
\(435\) | 43.7313 | − | 50.4686i | 2.09675 | − | 2.41978i | ||||
\(436\) | −2.74073 | −0.131257 | ||||||||
\(437\) | −2.05772 | + | 9.87590i | −0.0984342 | + | 0.472428i | ||||
\(438\) | −35.7473 | −1.70807 | ||||||||
\(439\) | −9.93850 | + | 11.4696i | −0.474339 | + | 0.547416i | −0.941613 | − | 0.336696i | \(-0.890690\pi\) |
0.467275 | + | 0.884112i | \(0.345236\pi\) | |||||||
\(440\) | −8.17880 | + | 5.25620i | −0.389909 | + | 0.250579i | ||||
\(441\) | −0.979735 | − | 6.81421i | −0.0466540 | − | 0.324486i | ||||
\(442\) | 13.1320 | + | 28.7550i | 0.624624 | + | 1.36773i | ||||
\(443\) | 4.07408 | − | 28.3359i | 0.193566 | − | 1.34628i | −0.628910 | − | 0.777478i | \(-0.716499\pi\) |
0.822476 | − | 0.568800i | \(-0.192592\pi\) | |||||||
\(444\) | 20.5759 | − | 6.04164i | 0.976490 | − | 0.286723i | ||||
\(445\) | 1.69119 | + | 1.08686i | 0.0801699 | + | 0.0515221i | ||||
\(446\) | 5.10000 | − | 11.1674i | 0.241492 | − | 0.528794i | ||||
\(447\) | −11.6793 | − | 3.42935i | −0.552412 | − | 0.162203i | ||||
\(448\) | 0.654861 | + | 0.755750i | 0.0309393 | + | 0.0357058i | ||||
\(449\) | −6.20654 | − | 7.16272i | −0.292905 | − | 0.338030i | 0.590156 | − | 0.807289i | \(-0.299066\pi\) |
−0.883060 | + | 0.469260i | \(0.844521\pi\) | |||||||
\(450\) | −0.841933 | − | 0.247214i | −0.0396891 | − | 0.0116538i | ||||
\(451\) | 0.0104606 | − | 0.0229054i | 0.000492569 | − | 0.00107858i | ||||
\(452\) | −0.303873 | − | 0.195287i | −0.0142930 | − | 0.00918553i | ||||
\(453\) | −53.5454 | + | 15.7224i | −2.51578 | + | 0.738701i | ||||
\(454\) | −0.407746 | + | 2.83594i | −0.0191365 | + | 0.133097i | ||||
\(455\) | −6.44717 | − | 14.1173i | −0.302248 | − | 0.661831i | ||||
\(456\) | −0.941160 | − | 6.54591i | −0.0440739 | − | 0.306541i | ||||
\(457\) | −20.6052 | + | 13.2421i | −0.963869 | + | 0.619441i | −0.925066 | − | 0.379806i | \(-0.875991\pi\) |
−0.0388030 | + | 0.999247i | \(0.512354\pi\) | |||||||
\(458\) | −0.953995 | + | 1.10097i | −0.0445773 | + | 0.0514449i | ||||
\(459\) | 56.3241 | 2.62898 | ||||||||
\(460\) | −10.5908 | + | 2.40147i | −0.493798 | + | 0.111969i | ||||
\(461\) | 32.5363 | 1.51537 | 0.757684 | − | 0.652622i | \(-0.226331\pi\) | ||||
0.757684 | + | 0.652622i | \(0.226331\pi\) | |||||||
\(462\) | −8.83961 | + | 10.2015i | −0.411256 | + | 0.474615i | ||||
\(463\) | −31.8227 | + | 20.4512i | −1.47893 | + | 0.950447i | −0.481674 | + | 0.876350i | \(0.659971\pi\) |
−0.997251 | + | 0.0740969i | \(0.976393\pi\) | |||||||
\(464\) | 1.33496 | + | 9.28488i | 0.0619742 | + | 0.431040i | ||||
\(465\) | 19.1686 | + | 41.9735i | 0.888924 | + | 1.94647i | ||||
\(466\) | 0.415044 | − | 2.88670i | 0.0192266 | − | 0.133724i | ||||
\(467\) | −22.9571 | + | 6.74081i | −1.06233 | + | 0.311927i | −0.765788 | − | 0.643093i | \(-0.777651\pi\) |
−0.296539 | + | 0.955021i | \(0.595833\pi\) | |||||||
\(468\) | 39.6937 | + | 25.5096i | 1.83484 | + | 1.17918i | ||||
\(469\) | 1.21020 | − | 2.64997i | 0.0558818 | − | 0.122364i | ||||
\(470\) | 12.6675 | + | 3.71951i | 0.584307 | + | 0.171568i | ||||
\(471\) | 5.97544 | + | 6.89602i | 0.275334 | + | 0.317752i | ||||
\(472\) | 1.30430 | + | 1.50524i | 0.0600351 | + | 0.0692842i | ||||
\(473\) | −20.4655 | − | 6.00923i | −0.941007 | − | 0.276304i | ||||
\(474\) | 21.2861 | − | 46.6101i | 0.977704 | − | 2.14087i | ||||
\(475\) | 0.225551 | + | 0.144953i | 0.0103490 | + | 0.00665090i | ||||
\(476\) | 4.42541 | − | 1.29942i | 0.202838 | − | 0.0595587i | ||||
\(477\) | 2.08119 | − | 14.4750i | 0.0952910 | − | 0.662763i | ||||
\(478\) | 5.93612 | + | 12.9983i | 0.271512 | + | 0.594528i | ||||
\(479\) | 3.95353 | + | 27.4974i | 0.180641 | + | 1.25639i | 0.855251 | + | 0.518214i | \(0.173403\pi\) |
−0.674610 | + | 0.738174i | \(0.735688\pi\) | |||||||
\(480\) | 5.98895 | − | 3.84886i | 0.273357 | − | 0.175676i | ||||
\(481\) | 30.6147 | − | 35.3312i | 1.39591 | − | 1.61097i | ||||
\(482\) | 0.842263 | 0.0383640 | ||||||||
\(483\) | −13.1695 | + | 7.34191i | −0.599231 | + | 0.334069i | ||||
\(484\) | 7.43416 | 0.337916 | ||||||||
\(485\) | 12.7951 | − | 14.7663i | 0.580995 | − | 0.670504i | ||||
\(486\) | 16.1008 | − | 10.3473i | 0.730346 | − | 0.469365i | ||||
\(487\) | 2.62572 | + | 18.2623i | 0.118983 | + | 0.827543i | 0.958680 | + | 0.284488i | \(0.0918235\pi\) |
−0.839697 | + | 0.543055i | \(0.817267\pi\) | |||||||
\(488\) | −2.56544 | − | 5.61754i | −0.116132 | − | 0.254294i | ||||
\(489\) | 2.77193 | − | 19.2792i | 0.125351 | − | 0.871834i | ||||
\(490\) | −2.17267 | + | 0.637952i | −0.0981510 | + | 0.0288197i | ||||
\(491\) | −3.01091 | − | 1.93500i | −0.135881 | − | 0.0873252i | 0.470935 | − | 0.882168i | \(-0.343917\pi\) |
−0.606815 | + | 0.794843i | \(0.707553\pi\) | |||||||
\(492\) | −0.00765977 | + | 0.0167726i | −0.000345329 | + | 0.000756166i | ||||
\(493\) | 41.5119 | + | 12.1890i | 1.86960 | + | 0.548965i | ||||
\(494\) | −9.44117 | − | 10.8957i | −0.424778 | − | 0.490220i | ||||
\(495\) | 43.8299 | + | 50.5824i | 1.97001 | + | 2.27351i | ||||
\(496\) | −6.21909 | − | 1.82609i | −0.279246 | − | 0.0819939i | ||||
\(497\) | −0.964260 | + | 2.11143i | −0.0432530 | + | 0.0947108i | ||||
\(498\) | −9.75895 | − | 6.27169i | −0.437309 | − | 0.281041i | ||||
\(499\) | 7.08866 | − | 2.08142i | 0.317332 | − | 0.0931770i | −0.119188 | − | 0.992872i | \(-0.538029\pi\) |
0.436520 | + | 0.899695i | \(0.356211\pi\) | |||||||
\(500\) | 1.57021 | − | 10.9210i | 0.0702218 | − | 0.488403i | ||||
\(501\) | 11.0819 | + | 24.2659i | 0.495102 | + | 1.08412i | ||||
\(502\) | −4.24024 | − | 29.4915i | −0.189251 | − | 1.31627i | ||||
\(503\) | −29.7920 | + | 19.1461i | −1.32836 | + | 0.853684i | −0.995990 | − | 0.0894651i | \(-0.971484\pi\) |
−0.332369 | + | 0.943149i | \(0.607848\pi\) | |||||||
\(504\) | 4.50824 | − | 5.20279i | 0.200813 | − | 0.231751i | ||||
\(505\) | −16.6134 | −0.739286 | ||||||||
\(506\) | 19.3551 | + | 7.02611i | 0.860439 | + | 0.312349i | ||||
\(507\) | 106.817 | 4.74389 | ||||||||
\(508\) | 4.54461 | − | 5.24476i | 0.201634 | − | 0.232699i | ||||
\(509\) | −3.11011 | + | 1.99875i | −0.137853 | + | 0.0885928i | −0.607750 | − | 0.794129i | \(-0.707928\pi\) |
0.469897 | + | 0.882722i | \(0.344291\pi\) | |||||||
\(510\) | −4.67289 | − | 32.5006i | −0.206919 | − | 1.43915i | ||||
\(511\) | 4.72338 | + | 10.3428i | 0.208950 | + | 0.457537i | ||||
\(512\) | −0.142315 | + | 0.989821i | −0.00628949 | + | 0.0437443i | ||||
\(513\) | −24.6471 | + | 7.23704i | −1.08820 | + | 0.319523i | ||||
\(514\) | −5.25549 | − | 3.37750i | −0.231810 | − | 0.148975i | ||||
\(515\) | 1.23289 | − | 2.69965i | 0.0543276 | − | 0.118961i | ||||
\(516\) | 14.9859 | + | 4.40027i | 0.659719 | + | 0.193711i | ||||
\(517\) | −16.3930 | − | 18.9185i | −0.720962 | − | 0.832035i | ||||
\(518\) | −4.46677 | − | 5.15493i | −0.196259 | − | 0.226495i | ||||
\(519\) | 31.4552 | + | 9.23608i | 1.38073 | + | 0.405419i | ||||
\(520\) | 6.44717 | − | 14.1173i | 0.282727 | − | 0.619086i | ||||
\(521\) | 15.4405 | + | 9.92298i | 0.676459 | + | 0.434734i | 0.833249 | − | 0.552898i | \(-0.186478\pi\) |
−0.156790 | + | 0.987632i | \(0.550115\pi\) | |||||||
\(522\) | 61.9612 | − | 18.1934i | 2.71197 | − | 0.796306i | ||||
\(523\) | −3.43620 | + | 23.8993i | −0.150255 | + | 1.04504i | 0.765537 | + | 0.643392i | \(0.222473\pi\) |
−0.915792 | + | 0.401653i | \(0.868436\pi\) | |||||||
\(524\) | −0.474491 | − | 1.03899i | −0.0207282 | − | 0.0453885i | ||||
\(525\) | 0.0570296 | + | 0.396649i | 0.00248898 | + | 0.0173112i | ||||
\(526\) | −15.8752 | + | 10.2024i | −0.692193 | + | 0.444846i | ||||
\(527\) | −19.5770 | + | 22.5930i | −0.852787 | + | 0.984168i | ||||
\(528\) | −13.4985 | −0.587445 | ||||||||
\(529\) | 17.6441 | + | 14.7542i | 0.767133 | + | 0.641488i | ||||
\(530\) | −4.81009 | −0.208937 | ||||||||
\(531\) | 8.97914 | − | 10.3625i | 0.389661 | − | 0.449693i | ||||
\(532\) | −1.76957 | + | 1.13723i | −0.0767206 | + | 0.0493053i | ||||
\(533\) | 0.00572068 | + | 0.0397882i | 0.000247790 | + | 0.00172342i | ||||
\(534\) | 1.15949 | + | 2.53893i | 0.0501761 | + | 0.109870i | ||||
\(535\) | −2.29473 | + | 15.9602i | −0.0992098 | + | 0.690019i | ||||
\(536\) | 2.79522 | − | 0.820751i | 0.120735 | − | 0.0354511i | ||||
\(537\) | −40.0885 | − | 25.7633i | −1.72995 | − | 1.11177i | ||||
\(538\) | −5.34355 | + | 11.7007i | −0.230377 | + | 0.504454i | ||||
\(539\) | 4.11958 | + | 1.20962i | 0.177443 | + | 0.0521020i | ||||
\(540\) | −18.1085 | − | 20.8983i | −0.779267 | − | 0.899322i | ||||
\(541\) | 12.6068 | + | 14.5491i | 0.542011 | + | 0.625514i | 0.959003 | − | 0.283396i | \(-0.0914612\pi\) |
−0.416992 | + | 0.908910i | \(0.636916\pi\) | |||||||
\(542\) | −1.43425 | − | 0.421133i | −0.0616062 | − | 0.0180892i | ||||
\(543\) | 16.3157 | − | 35.7264i | 0.700173 | − | 1.53316i | ||||
\(544\) | 3.88006 | + | 2.49356i | 0.166356 | + | 0.106911i | ||||
\(545\) | 5.95469 | − | 1.74845i | 0.255071 | − | 0.0748956i | ||||
\(546\) | 3.06661 | − | 21.3287i | 0.131239 | − | 0.912786i | ||||
\(547\) | 5.24169 | + | 11.4777i | 0.224118 | + | 0.490751i | 0.987971 | − | 0.154640i | \(-0.0494218\pi\) |
−0.763853 | + | 0.645391i | \(0.776695\pi\) | |||||||
\(548\) | −2.20930 | − | 15.3660i | −0.0943765 | − | 0.656403i | ||||
\(549\) | −35.7656 | + | 22.9852i | −1.52644 | + | 0.980983i | ||||
\(550\) | 0.358375 | − | 0.413587i | 0.0152812 | − | 0.0176354i | ||||
\(551\) | −19.7315 | −0.840591 | ||||||||
\(552\) | −14.1728 | − | 5.14489i | −0.603235 | − | 0.218981i | ||||
\(553\) | −16.2983 | −0.693073 | ||||||||
\(554\) | −17.6232 | + | 20.3382i | −0.748736 | + | 0.864088i | ||||
\(555\) | −40.8503 | + | 26.2529i | −1.73400 | + | 1.11437i | ||||
\(556\) | −0.389385 | − | 2.70823i | −0.0165136 | − | 0.114855i | ||||
\(557\) | −16.6954 | − | 36.5578i | −0.707406 | − | 1.54900i | −0.830755 | − | 0.556639i | \(-0.812091\pi\) |
0.123349 | − | 0.992363i | \(-0.460636\pi\) | |||||||
\(558\) | −6.35030 | + | 44.1673i | −0.268829 | + | 1.86975i | ||||
\(559\) | 32.6699 | − | 9.59274i | 1.38179 | − | 0.405730i | ||||
\(560\) | −1.90493 | − | 1.22422i | −0.0804978 | − | 0.0517328i | ||||
\(561\) | −25.8629 | + | 56.6319i | −1.09193 | + | 2.39100i | ||||
\(562\) | 0.922728 | + | 0.270937i | 0.0389229 | + | 0.0114288i | ||||
\(563\) | 6.79951 | + | 7.84705i | 0.286565 | + | 0.330714i | 0.880720 | − | 0.473637i | \(-0.157059\pi\) |
−0.594155 | + | 0.804350i | \(0.702514\pi\) | |||||||
\(564\) | 12.0038 | + | 13.8531i | 0.505451 | + | 0.583322i | ||||
\(565\) | 0.784797 | + | 0.230437i | 0.0330167 | + | 0.00969457i | ||||
\(566\) | 5.09978 | − | 11.1670i | 0.214360 | − | 0.469383i | ||||
\(567\) | −14.9242 | − | 9.59122i | −0.626758 | − | 0.402793i | ||||
\(568\) | −2.22717 | + | 0.653956i | −0.0934500 | + | 0.0274394i | ||||
\(569\) | 3.06403 | − | 21.3108i | 0.128451 | − | 0.893396i | −0.819068 | − | 0.573697i | \(-0.805509\pi\) |
0.947519 | − | 0.319700i | \(-0.103582\pi\) | |||||||
\(570\) | 6.22081 | + | 13.6217i | 0.260561 | + | 0.570549i | ||||
\(571\) | −0.656661 | − | 4.56718i | −0.0274804 | − | 0.191130i | 0.971457 | − | 0.237215i | \(-0.0762347\pi\) |
−0.998938 | + | 0.0460848i | \(0.985326\pi\) | |||||||
\(572\) | −24.7557 | + | 15.9095i | −1.03509 | + | 0.665209i | ||||
\(573\) | 49.5444 | − | 57.1773i | 2.06975 | − | 2.38862i | ||||
\(574\) | 0.00586491 | 0.000244797 | ||||||||
\(575\) | 0.533916 | − | 0.297656i | 0.0222658 | − | 0.0124131i | ||||
\(576\) | 6.88428 | 0.286845 | ||||||||
\(577\) | 13.8894 | − | 16.0292i | 0.578224 | − | 0.667306i | −0.388998 | − | 0.921239i | \(-0.627179\pi\) |
0.967222 | + | 0.253933i | \(0.0817242\pi\) | |||||||
\(578\) | 3.59444 | − | 2.31001i | 0.149509 | − | 0.0960836i | ||||
\(579\) | −1.84191 | − | 12.8108i | −0.0765472 | − | 0.532397i | ||||
\(580\) | −8.82374 | − | 19.3213i | −0.366386 | − | 0.802273i | ||||
\(581\) | −0.525114 | + | 3.65225i | −0.0217854 | + | 0.151521i | ||||
\(582\) | 26.0290 | − | 7.64280i | 1.07894 | − | 0.316804i | ||||
\(583\) | 7.67257 | + | 4.93086i | 0.317765 | + | 0.204215i | ||||
\(584\) | −4.72338 | + | 10.3428i | −0.195455 | + | 0.427986i | ||||
\(585\) | −102.515 | − | 30.1011i | −4.23847 | − | 1.24453i | ||||
\(586\) | 10.4214 | + | 12.0269i | 0.430503 | + | 0.496827i | ||||
\(587\) | 22.0274 | + | 25.4210i | 0.909167 | + | 1.04924i | 0.998582 | + | 0.0532406i | \(0.0169550\pi\) |
−0.0894143 | + | 0.995995i | \(0.528500\pi\) | |||||||
\(588\) | −3.01658 | − | 0.885747i | −0.124402 | − | 0.0365276i | ||||
\(589\) | 5.66381 | − | 12.4020i | 0.233373 | − | 0.511016i | ||||
\(590\) | −3.79407 | − | 2.43830i | −0.156199 | − | 0.100383i | ||||
\(591\) | 32.1263 | − | 9.43313i | 1.32150 | − | 0.388027i | ||||
\(592\) | 0.970723 | − | 6.75153i | 0.0398965 | − | 0.277486i | ||||
\(593\) | 12.8393 | + | 28.1142i | 0.527248 | + | 1.15451i | 0.966622 | + | 0.256208i | \(0.0824731\pi\) |
−0.439374 | + | 0.898304i | \(0.644800\pi\) | |||||||
\(594\) | 7.46182 | + | 51.8981i | 0.306162 | + | 2.12940i | ||||
\(595\) | −8.78597 | + | 5.64640i | −0.360190 | + | 0.231480i | ||||
\(596\) | −2.53543 | + | 2.92604i | −0.103855 | + | 0.119855i | ||||
\(597\) | 70.6553 | 2.89173 | ||||||||
\(598\) | −32.0562 | + | 7.26877i | −1.31088 | + | 0.297242i | ||||
\(599\) | −16.0000 | −0.653741 | −0.326870 | − | 0.945069i | \(-0.605994\pi\) | ||||
−0.326870 | + | 0.945069i | \(0.605994\pi\) | |||||||
\(600\) | −0.262421 | + | 0.302850i | −0.0107133 | + | 0.0123638i | ||||
\(601\) | 7.97517 | − | 5.12533i | 0.325314 | − | 0.209067i | −0.367782 | − | 0.929912i | \(-0.619883\pi\) |
0.693096 | + | 0.720846i | \(0.256246\pi\) | |||||||
\(602\) | −0.707001 | − | 4.91730i | −0.0288152 | − | 0.200414i | ||||
\(603\) | −8.33135 | − | 18.2431i | −0.339279 | − | 0.742917i | ||||
\(604\) | −2.52614 | + | 17.5697i | −0.102787 | + | 0.714902i | ||||
\(605\) | −16.1519 | + | 4.74264i | −0.656670 | + | 0.192816i | ||||
\(606\) | −19.4047 | − | 12.4706i | −0.788261 | − | 0.506585i | ||||
\(607\) | 0.549048 | − | 1.20225i | 0.0222852 | − | 0.0487978i | −0.898162 | − | 0.439664i | \(-0.855097\pi\) |
0.920447 | + | 0.390867i | \(0.127825\pi\) | |||||||
\(608\) | −2.01829 | − | 0.592622i | −0.0818523 | − | 0.0240340i | ||||
\(609\) | −19.3126 | − | 22.2879i | −0.782586 | − | 0.903153i | ||||
\(610\) | 9.15757 | + | 10.5684i | 0.370779 | + | 0.427902i | ||||
\(611\) | 38.3420 | + | 11.2582i | 1.55115 | + | 0.455459i | ||||
\(612\) | 13.1902 | − | 28.8826i | 0.533183 | − | 1.16751i | ||||
\(613\) | 32.3361 | + | 20.7812i | 1.30604 | + | 0.839343i | 0.993856 | − | 0.110678i | \(-0.0353022\pi\) |
0.312187 | + | 0.950021i | \(0.398939\pi\) | |||||||
\(614\) | 2.53388 | − | 0.744015i | 0.102259 | − | 0.0300260i | ||||
\(615\) | 0.00594203 | − | 0.0413278i | 0.000239606 | − | 0.00166650i | ||||
\(616\) | 1.78359 | + | 3.90551i | 0.0718627 | + | 0.157357i | ||||
\(617\) | 2.11527 | + | 14.7120i | 0.0851574 | + | 0.592283i | 0.987061 | + | 0.160345i | \(0.0512608\pi\) |
−0.901904 | + | 0.431937i | \(0.857830\pi\) | |||||||
\(618\) | 3.46649 | − | 2.22778i | 0.139443 | − | 0.0896144i | ||||
\(619\) | −29.8286 | + | 34.4241i | −1.19891 | + | 1.38362i | −0.295225 | + | 0.955428i | \(0.595395\pi\) |
−0.903688 | + | 0.428192i | \(0.859151\pi\) | |||||||
\(620\) | 14.6770 | 0.589441 | ||||||||
\(621\) | −11.9462 | + | 57.3348i | −0.479383 | + | 2.30077i | ||||
\(622\) | 11.0416 | 0.442729 | ||||||||
\(623\) | 0.581383 | − | 0.670951i | 0.0232926 | − | 0.0268811i | ||||
\(624\) | 18.1274 | − | 11.6498i | 0.725676 | − | 0.466364i | ||||
\(625\) | 3.64626 | + | 25.3603i | 0.145850 | + | 1.01441i | ||||
\(626\) | 1.30081 | + | 2.84838i | 0.0519910 | + | 0.113844i | ||||
\(627\) | 4.04087 | − | 28.1049i | 0.161377 | − | 1.12240i | ||||
\(628\) | 2.78478 | − | 0.817684i | 0.111125 | − | 0.0326291i | ||||
\(629\) | −26.4657 | − | 17.0085i | −1.05526 | − | 0.678172i | ||||
\(630\) | −6.47578 | + | 14.1800i | −0.258001 | + | 0.564944i | ||||
\(631\) | −33.2867 | − | 9.77386i | −1.32512 | − | 0.389091i | −0.458784 | − | 0.888548i | \(-0.651715\pi\) |
−0.866339 | + | 0.499457i | \(0.833533\pi\) | |||||||
\(632\) | −10.6731 | − | 12.3174i | −0.424553 | − | 0.489961i | ||||
\(633\) | −44.0479 | − | 50.8340i | −1.75075 | − | 2.02047i | ||||
\(634\) | −17.0952 | − | 5.01961i | −0.678937 | − | 0.199354i | ||||
\(635\) | −6.52801 | + | 14.2944i | −0.259056 | + | 0.567254i | ||||
\(636\) | −5.61826 | − | 3.61064i | −0.222778 | − | 0.143171i | ||||
\(637\) | −6.57624 | + | 1.93096i | −0.260560 | + | 0.0765073i | ||||
\(638\) | −5.73167 | + | 39.8647i | −0.226919 | + | 1.57826i | ||||
\(639\) | 6.63823 | + | 14.5357i | 0.262604 | + | 0.575023i | ||||
\(640\) | −0.322256 | − | 2.24134i | −0.0127383 | − | 0.0885968i | ||||
\(641\) | −15.6377 | + | 10.0497i | −0.617653 | + | 0.396941i | −0.811720 | − | 0.584047i | \(-0.801468\pi\) |
0.194067 | + | 0.980988i | \(0.437832\pi\) | |||||||
\(642\) | −14.6606 | + | 16.9192i | −0.578607 | + | 0.667748i | ||||
\(643\) | −27.0004 | −1.06479 | −0.532396 | − | 0.846495i | \(-0.678708\pi\) | ||||
−0.532396 | + | 0.846495i | \(0.678708\pi\) | |||||||
\(644\) | 0.384120 | + | 4.78042i | 0.0151365 | + | 0.188375i | ||||
\(645\) | −35.3666 | −1.39256 | ||||||||
\(646\) | −6.35333 | + | 7.33213i | −0.249968 | + | 0.288479i | ||||
\(647\) | −23.9146 | + | 15.3690i | −0.940180 | + | 0.604217i | −0.918446 | − | 0.395546i | \(-0.870555\pi\) |
−0.0217345 | + | 0.999764i | \(0.506919\pi\) | |||||||
\(648\) | −2.52473 | − | 17.5599i | −0.0991808 | − | 0.689817i | ||||
\(649\) | 3.55239 | + | 7.77866i | 0.139444 | + | 0.305339i | ||||
\(650\) | −0.124326 | + | 0.864709i | −0.00487648 | + | 0.0339167i | ||||
\(651\) | 19.5524 | − | 5.74110i | 0.766318 | − | 0.225011i | ||||
\(652\) | −5.21178 | − | 3.34941i | −0.204109 | − | 0.131173i | ||||
\(653\) | 7.73228 | − | 16.9313i | 0.302588 | − | 0.662574i | −0.695866 | − | 0.718172i | \(-0.744979\pi\) |
0.998453 | + | 0.0555975i | \(0.0177064\pi\) | |||||||
\(654\) | 8.26762 | + | 2.42759i | 0.323289 | + | 0.0949263i | ||||
\(655\) | 1.69374 | + | 1.95468i | 0.0661798 | + | 0.0763756i | ||||
\(656\) | 0.00384070 | + | 0.00443240i | 0.000149954 | + | 0.000173056i | ||||
\(657\) | 75.1054 | + | 22.0529i | 2.93014 | + | 0.860366i | ||||
\(658\) | 2.42203 | − | 5.30350i | 0.0944205 | − | 0.206752i | ||||
\(659\) | 35.5928 | + | 22.8741i | 1.38650 | + | 0.891049i | 0.999518 | − | 0.0310387i | \(-0.00988151\pi\) |
0.386981 | + | 0.922088i | \(0.373518\pi\) | |||||||
\(660\) | 29.3276 | − | 8.61137i | 1.14158 | − | 0.335197i | ||||
\(661\) | 1.16920 | − | 8.13193i | 0.0454764 | − | 0.316295i | −0.954368 | − | 0.298634i | \(-0.903469\pi\) |
0.999844 | − | 0.0176611i | \(-0.00562201\pi\) | |||||||
\(662\) | 10.5019 | + | 22.9958i | 0.408166 | + | 0.893759i | ||||
\(663\) | −14.1439 | − | 98.3732i | −0.549305 | − | 3.82050i | ||||
\(664\) | −3.10406 | + | 1.99486i | −0.120461 | + | 0.0774156i | ||||
\(665\) | 3.11918 | − | 3.59973i | 0.120957 | − | 0.139592i | ||||
\(666\) | −46.9573 | −1.81956 | ||||||||
\(667\) | −21.2123 | + | 39.6716i | −0.821343 | + | 1.53609i | ||||
\(668\) | 8.48514 | 0.328300 | ||||||||
\(669\) | −25.2761 | + | 29.1701i | −0.977229 | + | 1.12778i | ||||
\(670\) | −5.54949 | + | 3.56644i | −0.214395 | + | 0.137784i | ||||
\(671\) | −3.77348 | − | 26.2451i | −0.145674 | − | 1.01318i | ||||
\(672\) | −1.30603 | − | 2.85982i | −0.0503814 | − | 0.110320i | ||||
\(673\) | 3.94973 | − | 27.4710i | 0.152251 | − | 1.05893i | −0.760185 | − | 0.649707i | \(-0.774892\pi\) |
0.912435 | − | 0.409221i | \(-0.134199\pi\) | |||||||
\(674\) | 25.7004 | − | 7.54630i | 0.989941 | − | 0.290673i | ||||
\(675\) | 1.30945 | + | 0.841529i | 0.0504006 | + | 0.0323905i | ||||
\(676\) | 14.1139 | − | 30.9052i | 0.542844 | − | 1.18866i | ||||
\(677\) | −47.3204 | − | 13.8945i | −1.81867 | − | 0.534010i | −0.819437 | − | 0.573169i | \(-0.805714\pi\) |
−0.999233 | + | 0.0391590i | \(0.987532\pi\) | |||||||
\(678\) | 0.743680 | + | 0.858252i | 0.0285609 | + | 0.0329610i | ||||
\(679\) | −5.65056 | − | 6.52110i | −0.216849 | − | 0.250257i | ||||
\(680\) | −10.0208 | − | 2.94239i | −0.384282 | − | 0.112835i | ||||
\(681\) | 3.74192 | − | 8.19366i | 0.143391 | − | 0.313982i | ||||
\(682\) | −23.4112 | − | 15.0455i | −0.896462 | − | 0.576121i | ||||
\(683\) | 0.687298 | − | 0.201809i | 0.0262987 | − | 0.00772200i | −0.268557 | − | 0.963264i | \(-0.586547\pi\) |
0.294855 | + | 0.955542i | \(0.404728\pi\) | |||||||
\(684\) | −2.06087 | + | 14.3336i | −0.0787992 | + | 0.548060i | ||||
\(685\) | 14.6028 | + | 31.9758i | 0.557946 | + | 1.22173i | ||||
\(686\) | 0.142315 | + | 0.989821i | 0.00543361 | + | 0.0377916i | ||||
\(687\) | 3.85298 | − | 2.47616i | 0.147000 | − | 0.0944714i | ||||
\(688\) | 3.25326 | − | 3.75446i | 0.124029 | − | 0.143138i | ||||
\(689\) | −14.5592 | −0.554662 | ||||||||
\(690\) | 34.0750 | + | 2.13654i | 1.29721 | + | 0.0813367i | ||||
\(691\) | −31.6881 | −1.20547 | −0.602737 | − | 0.797940i | \(-0.705923\pi\) | ||||
−0.602737 | + | 0.797940i | \(0.705923\pi\) | |||||||
\(692\) | 6.82853 | − | 7.88054i | 0.259582 | − | 0.299573i | ||||
\(693\) | 24.8655 | − | 15.9801i | 0.944562 | − | 0.607033i | ||||
\(694\) | 0.313842 | + | 2.18282i | 0.0119133 | + | 0.0828587i | ||||
\(695\) | 2.57373 | + | 5.63568i | 0.0976271 | + | 0.213773i | ||||
\(696\) | 4.19703 | − | 29.1910i | 0.159088 | − | 1.10648i | ||||
\(697\) | 0.0259546 | − | 0.00762096i | 0.000983101 | − | 0.000288665i | ||||
\(698\) | −6.12481 | − | 3.93618i | −0.231827 | − | 0.148986i | ||||
\(699\) | −3.80889 | + | 8.34031i | −0.144066 | + | 0.315460i | ||||
\(700\) | 0.122298 | + | 0.0359099i | 0.00462243 | + | 0.00135727i | ||||
\(701\) | 0.0158607 | + | 0.0183043i | 0.000599051 | + | 0.000691342i | 0.756049 | − | 0.654515i | \(-0.227127\pi\) |
−0.755450 | + | 0.655206i | \(0.772582\pi\) | |||||||
\(702\) | −54.8110 | − | 63.2553i | −2.06871 | − | 2.38742i | ||||
\(703\) | 13.7666 | + | 4.04225i | 0.519219 | + | 0.152456i | ||||
\(704\) | −1.78359 | + | 3.90551i | −0.0672214 | + | 0.147194i | ||||
\(705\) | −34.9179 | − | 22.4404i | −1.31508 | − | 0.845153i | ||||
\(706\) | 18.3060 | − | 5.37514i | 0.688957 | − | 0.202296i | ||||
\(707\) | −1.04414 | + | 7.26213i | −0.0392688 | + | 0.273120i | ||||
\(708\) | −2.60125 | − | 5.69594i | −0.0977609 | − | 0.214067i | ||||
\(709\) | −1.71302 | − | 11.9143i | −0.0643337 | − | 0.447451i | −0.996373 | − | 0.0850933i | \(-0.972881\pi\) |
0.932039 | − | 0.362357i | \(-0.118028\pi\) | |||||||
\(710\) | 4.42171 | − | 2.84166i | 0.165944 | − | 0.106646i | ||||
\(711\) | −73.4766 | + | 84.7965i | −2.75559 | + | 3.18012i | ||||
\(712\) | 0.887796 | 0.0332716 | ||||||||
\(713\) | −18.8463 | − | 24.7202i | −0.705798 | − | 0.925779i | ||||
\(714\) | −14.5005 | −0.542669 | ||||||||
\(715\) | 43.6363 | − | 50.3589i | 1.63190 | − | 1.88332i | ||||
\(716\) | −12.7511 | + | 8.19462i | −0.476530 | + | 0.306247i | ||||
\(717\) | −6.39356 | − | 44.4682i | −0.238772 | − | 1.66070i | ||||
\(718\) | −0.763993 | − | 1.67291i | −0.0285120 | − | 0.0624325i | ||||
\(719\) | 0.411270 | − | 2.86044i | 0.0153378 | − | 0.106677i | −0.980714 | − | 0.195446i | \(-0.937384\pi\) |
0.996052 | + | 0.0887698i | \(0.0282935\pi\) | |||||||
\(720\) | −14.9572 | + | 4.39184i | −0.557423 | + | 0.163674i | ||||
\(721\) | −1.10260 | − | 0.708597i | −0.0410629 | − | 0.0263895i | ||||
\(722\) | −6.05481 | + | 13.2582i | −0.225337 | + | 0.493418i | ||||
\(723\) | −2.54075 | − | 0.746032i | −0.0944915 | − | 0.0277452i | ||||
\(724\) | −8.18087 | − | 9.44123i | −0.304040 | − | 0.350880i | ||||
\(725\) | 0.782972 | + | 0.903597i | 0.0290788 | + | 0.0335588i | ||||
\(726\) | −22.4257 | − | 6.58478i | −0.832296 | − | 0.244384i | ||||
\(727\) | 11.9156 | − | 26.0915i | 0.441925 | − | 0.967682i | −0.549315 | − | 0.835615i | \(-0.685111\pi\) |
0.991241 | − | 0.132067i | \(-0.0421613\pi\) | |||||||
\(728\) | −5.76584 | − | 3.70548i | −0.213696 | − | 0.137334i | ||||
\(729\) | −6.66883 | + | 1.95815i | −0.246994 | + | 0.0725239i | ||||
\(730\) | 3.66414 | − | 25.4847i | 0.135616 | − | 0.943229i | ||||
\(731\) | −9.51839 | − | 20.8424i | −0.352050 | − | 0.770883i | ||||
\(732\) | 2.76314 | + | 19.2181i | 0.102129 | + | 0.710320i | ||||
\(733\) | 37.0061 | − | 23.7824i | 1.36685 | − | 0.878423i | 0.368172 | − | 0.929758i | \(-0.379984\pi\) |
0.998682 | + | 0.0513347i | \(0.0163475\pi\) | |||||||
\(734\) | 5.96933 | − | 6.88897i | 0.220332 | − | 0.254277i | ||||
\(735\) | 7.11908 | 0.262591 | ||||||||
\(736\) | −3.36126 | + | 3.42081i | −0.123898 | + | 0.126093i | ||||
\(737\) | 12.5080 | 0.460736 | ||||||||
\(738\) | 0.0264404 | − | 0.0305139i | 0.000973286 | − | 0.00112323i | ||||
\(739\) | −41.8268 | + | 26.8805i | −1.53862 | + | 0.988814i | −0.550555 | + | 0.834799i | \(0.685584\pi\) |
−0.988069 | + | 0.154015i | \(0.950780\pi\) | |||||||
\(740\) | 2.19809 | + | 15.2881i | 0.0808036 | + | 0.562001i | ||||
\(741\) | 18.8292 | + | 41.2302i | 0.691707 | + | 1.51463i | ||||
\(742\) | −0.302310 | + | 2.10261i | −0.0110982 | + | 0.0771893i | ||||
\(743\) | −3.68757 | + | 1.08277i | −0.135284 | + | 0.0397229i | −0.348673 | − | 0.937244i | \(-0.613368\pi\) |
0.213390 | + | 0.976967i | \(0.431550\pi\) | |||||||
\(744\) | 17.1429 | + | 11.0171i | 0.628490 | + | 0.403906i | ||||
\(745\) | 3.64196 | − | 7.97479i | 0.133431 | − | 0.292174i | ||||
\(746\) | 19.2232 | + | 5.64444i | 0.703811 | + | 0.206657i | ||||
\(747\) | 16.6345 | + | 19.1973i | 0.608626 | + | 0.702392i | ||||
\(748\) | 12.9680 | + | 14.9658i | 0.474156 | + | 0.547205i | ||||
\(749\) | 6.83238 | + | 2.00617i | 0.249650 | + | 0.0733037i | ||||
\(750\) | −14.4099 | + | 31.5533i | −0.526175 | + | 1.15216i | ||||
\(751\) | 43.5984 | + | 28.0190i | 1.59093 | + | 1.02243i | 0.971399 | + | 0.237454i | \(0.0763127\pi\) |
0.619529 | + | 0.784974i | \(0.287324\pi\) | |||||||
\(752\) | 5.59421 | − | 1.64261i | 0.204000 | − | 0.0598998i | ||||
\(753\) | −13.3310 | + | 92.7192i | −0.485809 | + | 3.37887i | ||||
\(754\) | −26.7078 | − | 58.4818i | −0.972639 | − | 2.12978i | ||||
\(755\) | −5.72018 | − | 39.7847i | −0.208179 | − | 1.44791i | ||||
\(756\) | −10.2733 | + | 6.60225i | −0.373636 | + | 0.240121i | ||||
\(757\) | 27.1895 | − | 31.3783i | 0.988217 | − | 1.14046i | −0.00186821 | − | 0.999998i | \(-0.500595\pi\) |
0.990086 | − | 0.140465i | \(-0.0448599\pi\) | |||||||
\(758\) | 14.0453 | 0.510148 | ||||||||
\(759\) | −52.1627 | − | 38.3385i | −1.89339 | − | 1.39160i | ||||
\(760\) | 4.76313 | 0.172777 | ||||||||
\(761\) | 32.9576 | − | 38.0350i | 1.19471 | − | 1.37877i | 0.287668 | − | 0.957730i | \(-0.407120\pi\) |
0.907042 | − | 0.421039i | \(-0.138335\pi\) | |||||||
\(762\) | −18.3547 | + | 11.7958i | −0.664920 | + | 0.427318i | ||||
\(763\) | −0.390046 | − | 2.71283i | −0.0141206 | − | 0.0982111i | ||||
\(764\) | −9.99668 | − | 21.8897i | −0.361667 | − | 0.791940i | ||||
\(765\) | −10.2323 | + | 71.1669i | −0.369948 | + | 2.57304i | ||||
\(766\) | −6.50842 | + | 1.91105i | −0.235159 | + | 0.0690489i | ||||
\(767\) | −11.4839 | − | 7.38027i | −0.414660 | − | 0.266486i | ||||
\(768\) | 1.30603 | − | 2.85982i | 0.0471275 | − | 0.103195i | ||||
\(769\) | 5.91628 | + | 1.73718i | 0.213346 | + | 0.0626442i | 0.386659 | − | 0.922223i | \(-0.373629\pi\) |
−0.173313 | + | 0.984867i | \(0.555447\pi\) | |||||||
\(770\) | −6.36666 | − | 7.34752i | −0.229439 | − | 0.264786i | ||||
\(771\) | 12.8620 | + | 14.8435i | 0.463213 | + | 0.534576i | ||||
\(772\) | −3.94991 | − | 1.15980i | −0.142161 | − | 0.0417421i | ||||
\(773\) | −6.57628 | + | 14.4000i | −0.236532 | + | 0.517934i | −0.990256 | − | 0.139258i | \(-0.955528\pi\) |
0.753724 | + | 0.657191i | \(0.228256\pi\) | |||||||
\(774\) | −28.7710 | − | 18.4900i | −1.03415 | − | 0.664610i | ||||
\(775\) | −0.792692 | + | 0.232755i | −0.0284744 | + | 0.00836082i | ||||
\(776\) | 1.22798 | − | 8.54082i | 0.0440821 | − | 0.306598i | ||||
\(777\) | 8.90840 | + | 19.5067i | 0.319587 | + | 0.699798i | ||||
\(778\) | −0.0343573 | − | 0.238960i | −0.00123177 | − | 0.00856714i | ||||
\(779\) | −0.0103784 | + | 0.00666977i | −0.000371844 | + | 0.000238969i | ||||
\(780\) | −31.9528 | + | 36.8755i | −1.14409 | + | 1.32035i | ||||
\(781\) | −9.96606 | −0.356614 | ||||||||
\(782\) | 7.91165 | + | 20.6562i | 0.282920 | + | 0.738664i | ||||
\(783\) | −114.552 | −4.09375 | ||||||||
\(784\) | −0.654861 | + | 0.755750i | −0.0233879 | + | 0.0269911i | ||||
\(785\) | −5.52874 | + | 3.55311i | −0.197329 | + | 0.126816i | ||||
\(786\) | 0.511056 | + | 3.55447i | 0.0182288 | + | 0.126784i | ||||
\(787\) | −19.3103 | − | 42.2836i | −0.688336 | − | 1.50725i | −0.853562 | − | 0.520991i | \(-0.825563\pi\) |
0.165226 | − | 0.986256i | \(-0.447165\pi\) | |||||||
\(788\) | 1.51564 | − | 10.5415i | 0.0539925 | − | 0.375526i | ||||
\(789\) | 56.9256 | − | 16.7149i | 2.02661 | − | 0.595065i | ||||
\(790\) | 31.0470 | + | 19.9527i | 1.10460 | + | 0.709885i | ||||
\(791\) | 0.150054 | − | 0.328572i | 0.00533530 | − | 0.0116827i | ||||
\(792\) | 28.3604 | + | 8.32736i | 1.00774 | + | 0.295900i | ||||
\(793\) | 27.7182 | + | 31.9885i | 0.984302 | + | 1.13595i | ||||
\(794\) | 21.7279 | + | 25.0754i | 0.771095 | + | 0.889891i | ||||
\(795\) | 14.5100 | + | 4.26053i | 0.514617 | + | 0.151105i | ||||
\(796\) | 9.33586 | − | 20.4427i | 0.330901 | − | 0.724572i | ||||
\(797\) | 43.0204 | + | 27.6476i | 1.52386 | + | 0.979327i | 0.991108 | + | 0.133057i | \(0.0424792\pi\) |
0.532754 | + | 0.846270i | \(0.321157\pi\) | |||||||
\(798\) | 6.34535 | − | 1.86316i | 0.224623 | − | 0.0659552i | ||||
\(799\) | 3.82700 | − | 26.6174i | 0.135390 | − | 0.941656i | ||||
\(800\) | 0.0529492 | + | 0.115943i | 0.00187204 | + | 0.00409919i | ||||
\(801\) | −0.869805 | − | 6.04962i | −0.0307330 | − | 0.213753i | ||||
\(802\) | 3.83274 | − | 2.46315i | 0.135339 | − | 0.0869769i | ||||
\(803\) | −31.9692 | + | 36.8944i | −1.12817 | + | 1.30197i | ||||
\(804\) | −9.15898 | −0.323012 | ||||||||
\(805\) | −3.88425 | − | 10.1412i | −0.136902 | − | 0.357431i | ||||
\(806\) | 44.4244 | 1.56478 | ||||||||
\(807\) | 26.4831 | − | 30.5631i | 0.932249 | − | 1.07587i | ||||
\(808\) | −6.17211 | + | 3.96658i | −0.217134 | + | 0.139544i | ||||
\(809\) | 1.53436 | + | 10.6717i | 0.0539452 | + | 0.375197i | 0.998854 | + | 0.0478629i | \(0.0152411\pi\) |
−0.944909 | + | 0.327334i | \(0.893850\pi\) | |||||||
\(810\) | 16.6878 | + | 36.5411i | 0.586348 | + | 1.28392i | ||||
\(811\) | −1.56326 | + | 10.8727i | −0.0548935 | + | 0.381793i | 0.943792 | + | 0.330539i | \(0.107231\pi\) |
−0.998686 | + | 0.0512533i | \(0.983678\pi\) | |||||||
\(812\) | −9.00039 | + | 2.64275i | −0.315852 | + | 0.0927424i | ||||
\(813\) | 3.95350 | + | 2.54076i | 0.138655 | + | 0.0891084i | ||||
\(814\) | 12.1658 | − | 26.6393i | 0.426409 | − | 0.933706i | ||||
\(815\) | 13.4602 | + | 3.95227i | 0.471491 | + | 0.138442i | ||||
\(816\) | −9.49583 | − | 10.9588i | −0.332421 | − | 0.383634i | ||||
\(817\) | 6.84321 | + | 7.89748i | 0.239414 | + | 0.276298i | ||||
\(818\) | 29.0314 | + | 8.52438i | 1.01506 | + | 0.298048i | ||||
\(819\) | −19.6009 | + | 42.9200i | −0.684912 | + | 1.49975i | ||||
\(820\) | −0.0111722 | − | 0.00717995i | −0.000390151 | − | 0.000250735i | ||||
\(821\) | −12.7663 | + | 3.74853i | −0.445547 | + | 0.130824i | −0.496807 | − | 0.867861i | \(-0.665494\pi\) |
0.0512601 | + | 0.998685i | \(0.483676\pi\) | |||||||
\(822\) | −6.94587 | + | 48.3096i | −0.242265 | + | 1.68499i | ||||
\(823\) | 6.42034 | + | 14.0586i | 0.223799 | + | 0.490051i | 0.987909 | − | 0.155035i | \(-0.0495489\pi\) |
−0.764110 | + | 0.645086i | \(0.776822\pi\) | |||||||
\(824\) | −0.186527 | − | 1.29732i | −0.00649796 | − | 0.0451943i | ||||
\(825\) | −1.44740 | + | 0.930187i | −0.0503920 | + | 0.0323850i | ||||
\(826\) | −1.30430 | + | 1.50524i | −0.0453823 | + | 0.0523739i | ||||
\(827\) | 55.8994 | 1.94381 | 0.971906 | − | 0.235369i | \(-0.0756298\pi\) | ||||
0.971906 | + | 0.235369i | \(0.0756298\pi\) | |||||||
\(828\) | 26.6033 | + | 19.5528i | 0.924527 | + | 0.679507i | ||||
\(829\) | 5.52750 | 0.191978 | 0.0959891 | − | 0.995382i | \(-0.469399\pi\) | ||||
0.0959891 | + | 0.995382i | \(0.469399\pi\) | |||||||
\(830\) | 5.47147 | − | 6.31441i | 0.189917 | − | 0.219176i | ||||
\(831\) | 71.1761 | − | 45.7421i | 2.46907 | − | 1.58678i | ||||
\(832\) | −0.975407 | − | 6.78411i | −0.0338162 | − | 0.235197i | ||||
\(833\) | 1.91599 | + | 4.19544i | 0.0663852 | + | 0.145363i | ||||
\(834\) | −1.22420 | + | 8.51449i | −0.0423905 | + | 0.294833i | ||||
\(835\) | −18.4354 | + | 5.41311i | −0.637983 | + | 0.187329i | ||||
\(836\) | −7.59765 | − | 4.88272i | −0.262770 | − | 0.168872i | ||||
\(837\) | 32.8814 | − | 72.0002i | 1.13655 | − | 2.48869i | ||||
\(838\) | −1.80521 | − | 0.530058i | −0.0623600 | − | 0.0183106i | ||||
\(839\) | 23.5579 | + | 27.1872i | 0.813308 | + | 0.938608i | 0.999032 | − | 0.0439943i | \(-0.0140083\pi\) |
−0.185724 | + | 0.982602i | \(0.559463\pi\) | |||||||
\(840\) | 4.66200 | + | 5.38024i | 0.160854 | + | 0.185636i | ||||
\(841\) | −56.6016 | − | 16.6197i | −1.95178 | − | 0.573094i | ||||
\(842\) | −0.885162 | + | 1.93823i | −0.0305047 | + | 0.0667960i | ||||
\(843\) | −2.54350 | − | 1.63461i | −0.0876027 | − | 0.0562988i | ||||
\(844\) | −20.5280 | + | 6.02755i | −0.706601 | + | 0.207477i | ||||
\(845\) | −10.9488 | + | 76.1508i | −0.376651 | + | 2.61967i | ||||
\(846\) | −16.6739 | − | 36.5108i | −0.573261 | − | 1.25527i | ||||
\(847\) | 1.05799 | + | 7.35849i | 0.0363530 | + | 0.252841i | ||||
\(848\) | −1.78702 | + | 1.14845i | −0.0613665 | + | 0.0394379i | ||||
\(849\) | −25.2750 | + | 29.1689i | −0.867435 | + | 1.00107i | ||||
\(850\) | 0.587880 | 0.0201641 | ||||||||
\(851\) | 22.9270 | − | 23.3332i | 0.785927 | − | 0.799851i | ||||
\(852\) | 7.29767 | 0.250014 | ||||||||
\(853\) | −23.4919 | + | 27.1111i | −0.804346 | + | 0.928265i | −0.998611 | − | 0.0526842i | \(-0.983222\pi\) |
0.194265 | + | 0.980949i | \(0.437768\pi\) | |||||||
\(854\) | 5.19526 | − | 3.33879i | 0.177778 | − | 0.114251i | ||||
\(855\) | −4.66660 | − | 32.4569i | −0.159594 | − | 1.11000i | ||||
\(856\) | 2.95810 | + | 6.47732i | 0.101106 | + | 0.221390i | ||||
\(857\) | −6.63201 | + | 46.1266i | −0.226545 | + | 1.57566i | 0.485955 | + | 0.873984i | \(0.338472\pi\) |
−0.712500 | + | 0.701672i | \(0.752437\pi\) | |||||||
\(858\) | 88.7691 | − | 26.0650i | 3.03053 | − | 0.889843i | ||||
\(859\) | −30.8157 | − | 19.8040i | −1.05142 | − | 0.675705i | −0.103633 | − | 0.994616i | \(-0.533047\pi\) |
−0.947785 | + | 0.318911i | \(0.896683\pi\) | |||||||
\(860\) | −4.67308 | + | 10.2326i | −0.159351 | + | 0.348929i | ||||
\(861\) | −0.0176919 | − | 0.00519482i | −0.000602940 | − | 0.000177039i | ||||
\(862\) | −16.0657 | − | 18.5408i | −0.547200 | − | 0.631502i | ||||
\(863\) | −33.4002 | − | 38.5459i | −1.13696 | − | 1.31212i | −0.943637 | − | 0.330981i | \(-0.892620\pi\) |
−0.193319 | − | 0.981136i | \(-0.561925\pi\) | |||||||
\(864\) | −11.7172 | − | 3.44049i | −0.398628 | − | 0.117048i | ||||
\(865\) | −9.80870 | + | 21.4781i | −0.333506 | + | 0.730276i | ||||
\(866\) | −5.16509 | − | 3.31940i | −0.175517 | − | 0.112798i | ||||
\(867\) | −12.8890 | + | 3.78455i | −0.437733 | + | 0.128530i | ||||
\(868\) | 0.922435 | − | 6.41567i | 0.0313095 | − | 0.217762i | ||||
\(869\) | −29.0694 | − | 63.6530i | −0.986111 | − | 2.15928i | ||||
\(870\) | 9.50371 | + | 66.0998i | 0.322206 | + | 2.24099i | ||||
\(871\) | −16.7972 | + | 10.7949i | −0.569152 | + | 0.365772i | ||||
\(872\) | 1.79480 | − | 2.07130i | 0.0607795 | − | 0.0701432i | ||||
\(873\) | −59.4020 | −2.01045 | ||||||||
\(874\) | −6.11619 | − | 8.02246i | −0.206883 | − | 0.271364i | ||||
\(875\) | 11.0333 | 0.372995 | ||||||||
\(876\) | 23.4095 | − | 27.0160i | 0.790934 | − | 0.912786i | ||||
\(877\) | −30.7212 | + | 19.7433i | −1.03738 | + | 0.666685i | −0.944338 | − | 0.328976i | \(-0.893296\pi\) |
−0.0930447 | + | 0.995662i | \(0.529660\pi\) | |||||||
\(878\) | −2.15984 | − | 15.0220i | −0.0728911 | − | 0.506969i | ||||
\(879\) | −20.7841 | − | 45.5108i | −0.701030 | − | 1.53504i | ||||
\(880\) | 1.38361 | − | 9.62320i | 0.0466414 | − | 0.324398i | ||||
\(881\) | −47.5396 | + | 13.9589i | −1.60165 | + | 0.470287i | −0.956005 | − | 0.293350i | \(-0.905230\pi\) |
−0.645646 | + | 0.763637i | \(0.723412\pi\) | |||||||
\(882\) | 5.79142 | + | 3.72192i | 0.195007 | + | 0.125324i | ||||
\(883\) | 3.04602 | − | 6.66985i | 0.102507 | − | 0.224458i | −0.851429 | − | 0.524470i | \(-0.824263\pi\) |
0.953935 | + | 0.300012i | \(0.0969906\pi\) | |||||||
\(884\) | −30.3312 | − | 8.90603i | −1.02015 | − | 0.299542i | ||||
\(885\) | 9.28539 | + | 10.7159i | 0.312125 | + | 0.360211i | ||||
\(886\) | 18.7469 | + | 21.6350i | 0.629813 | + | 0.726843i | ||||
\(887\) | 28.7354 | + | 8.43749i | 0.964842 | + | 0.283303i | 0.725953 | − | 0.687744i | \(-0.241399\pi\) |
0.238888 | + | 0.971047i | \(0.423217\pi\) | |||||||
\(888\) | −8.90840 | + | 19.5067i | −0.298946 | + | 0.654601i | ||||
\(889\) | 5.83814 | + | 3.75194i | 0.195805 | + | 0.125836i | ||||
\(890\) | −1.92888 | + | 0.566371i | −0.0646563 | + | 0.0189848i | ||||
\(891\) | 10.8399 | − | 75.3934i | 0.363151 | − | 2.52577i | ||||
\(892\) | 5.10000 | + | 11.1674i | 0.170761 | + | 0.373914i | ||||
\(893\) | 1.74537 | + | 12.1393i | 0.0584067 | + | 0.406227i | ||||
\(894\) | 10.2400 | − | 6.58087i | 0.342478 | − | 0.220097i | ||||
\(895\) | 22.4761 | − | 25.9388i | 0.751292 | − | 0.867037i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | 103.138 | + | 6.46689i | 3.44369 | + | 0.215923i | ||||
\(898\) | 9.47764 | 0.316273 | ||||||||
\(899\) | 39.8156 | − | 45.9497i | 1.32793 | − | 1.53251i | ||||
\(900\) | 0.738181 | − | 0.474400i | 0.0246060 | − | 0.0158133i | ||||
\(901\) | 1.39433 | + | 9.69774i | 0.0464517 | + | 0.323079i | ||||
\(902\) | 0.0104606 | + | 0.0229054i | 0.000348299 | + | 0.000762668i | ||||
\(903\) | −2.22276 | + | 15.4596i | −0.0739688 | + | 0.514464i | ||||
\(904\) | 0.346582 | − | 0.101766i | 0.0115272 | − | 0.00338468i | ||||
\(905\) | 23.7973 | + | 15.2936i | 0.791051 | + | 0.508377i | ||||
\(906\) | 23.1826 | − | 50.7629i | 0.770191 | − | 1.68648i | ||||
\(907\) | −20.6771 | − | 6.07136i | −0.686573 | − | 0.201596i | −0.0802030 | − | 0.996779i | \(-0.525557\pi\) |
−0.606370 | + | 0.795182i | \(0.707375\pi\) | |||||||
\(908\) | −1.87624 | − | 2.16530i | −0.0622653 | − | 0.0718579i | ||||
\(909\) | 33.0761 | + | 38.1719i | 1.09707 | + | 1.26608i | ||||
\(910\) | 14.8912 | + | 4.37244i | 0.493637 | + | 0.144945i | ||||
\(911\) | −22.0538 | + | 48.2912i | −0.730676 | + | 1.59996i | 0.0676329 | + | 0.997710i | \(0.478455\pi\) |
−0.798309 | + | 0.602248i | \(0.794272\pi\) | |||||||
\(912\) | 5.56340 | + | 3.57538i | 0.184223 | + | 0.118393i | ||||
\(913\) | −15.2005 | + | 4.46326i | −0.503062 | + | 0.147712i | ||||
\(914\) | 3.48578 | − | 24.2441i | 0.115299 | − | 0.801924i | ||||
\(915\) | −18.2636 | − | 39.9917i | −0.603776 | − | 1.32208i | ||||
\(916\) | −0.207323 | − | 1.44196i | −0.00685015 | − | 0.0476438i | ||||
\(917\) | 0.960888 | − | 0.617525i | 0.0317313 | − | 0.0203925i | ||||
\(918\) | −36.8844 | + | 42.5669i | −1.21737 | + | 1.40492i | ||||
\(919\) | 26.6080 | 0.877717 | 0.438859 | − | 0.898556i | \(-0.355383\pi\) | ||||
0.438859 | + | 0.898556i | \(0.355383\pi\) | |||||||
\(920\) | 5.12058 | − | 9.57660i | 0.168820 | − | 0.315731i | ||||
\(921\) | −8.30266 | −0.273582 | ||||||||
\(922\) | −21.3068 | + | 24.5893i | −0.701701 | + | 0.809806i | ||||
\(923\) | 13.3836 | − | 8.60115i | 0.440528 | − | 0.283110i | ||||
\(924\) | −1.92103 | − | 13.3611i | −0.0631973 | − | 0.439547i | ||||
\(925\) | −0.361164 | − | 0.790839i | −0.0118750 | − | 0.0260026i | ||||
\(926\) | 5.38344 | − | 37.4427i | 0.176911 | − | 1.23044i | ||||
\(927\) | −8.65747 | + | 2.54206i | −0.284349 | + | 0.0834923i | ||||
\(928\) | −7.89126 | − | 5.07141i | −0.259043 | − | 0.166477i | ||||
\(929\) | −25.2159 | + | 55.2151i | −0.827307 | + | 1.81155i | −0.329968 | + | 0.943992i | \(0.607038\pi\) |
−0.497339 | + | 0.867556i | \(0.665689\pi\) | |||||||
\(930\) | −44.2742 | − | 13.0001i | −1.45181 | − | 0.426289i | ||||
\(931\) | −1.37749 | − | 1.58971i | −0.0451456 | − | 0.0521008i | ||||
\(932\) | 1.90982 | + | 2.20405i | 0.0625583 | + | 0.0721962i | ||||
\(933\) | −33.3079 | − | 9.78008i | −1.09045 | − | 0.320186i | ||||
\(934\) | 9.93933 | − | 21.7641i | 0.325225 | − | 0.712143i | ||||
\(935\) | −37.7226 | − | 24.2428i | −1.23366 | − | 0.792825i | ||||
\(936\) | −45.2727 | + | 13.2933i | −1.47978 | + | 0.434504i | ||||
\(937\) | 0.356167 | − | 2.47720i | 0.0116355 | − | 0.0809264i | −0.983176 | − | 0.182659i | \(-0.941530\pi\) |
0.994812 | + | 0.101733i | \(0.0324386\pi\) | |||||||
\(938\) | 1.21020 | + | 2.64997i | 0.0395144 | + | 0.0865245i | ||||
\(939\) | −1.40106 | − | 9.74456i | −0.0457217 | − | 0.318002i | ||||
\(940\) | −11.1064 | + | 7.13768i | −0.362252 | + | 0.232806i | ||||
\(941\) | 29.0614 | − | 33.5386i | 0.947375 | − | 1.09333i | −0.0481514 | − | 0.998840i | \(-0.515333\pi\) |
0.995526 | − | 0.0944885i | \(-0.0301216\pi\) | |||||||
\(942\) | −9.12475 | −0.297300 | ||||||||
\(943\) | 0.00225283 | + | 0.0280368i | 7.33623e−5 | + | 0.000913002i | ||||
\(944\) | −1.99172 | −0.0648248 | ||||||||
\(945\) | 18.1085 | − | 20.8983i | 0.589070 | − | 0.679823i | ||||
\(946\) | 17.9436 | − | 11.5316i | 0.583395 | − | 0.374925i | ||||
\(947\) | −5.05285 | − | 35.1434i | −0.164196 | − | 1.14201i | −0.890616 | − | 0.454756i | \(-0.849727\pi\) |
0.726421 | − | 0.687250i | \(-0.241182\pi\) | |||||||
\(948\) | 21.2861 | + | 46.6101i | 0.691341 | + | 1.51383i | ||||
\(949\) | 11.0906 | − | 77.1371i | 0.360017 | − | 2.50398i | ||||
\(950\) | −0.257253 | + | 0.0755363i | −0.00834639 | + | 0.00245072i | ||||
\(951\) | 47.1229 | + | 30.2840i | 1.52806 | + | 0.982028i | ||||
\(952\) | −1.91599 | + | 4.19544i | −0.0620977 | + | 0.135975i | ||||
\(953\) | 30.1543 | + | 8.85411i | 0.976795 | + | 0.286813i | 0.730901 | − | 0.682484i | \(-0.239100\pi\) |
0.245894 | + | 0.969297i | \(0.420918\pi\) | |||||||
\(954\) | 9.57657 | + | 11.0519i | 0.310053 | + | 0.357820i | ||||
\(955\) | 35.6840 | + | 41.1815i | 1.15471 | + | 1.33260i | ||||
\(956\) | −13.7108 | − | 4.02585i | −0.443438 | − | 0.130205i | ||||
\(957\) | 52.6000 | − | 115.178i | 1.70032 | − | 3.72317i | ||||
\(958\) | −23.3702 | − | 15.0191i | −0.755055 | − | 0.485245i | ||||
\(959\) | 14.8952 | − | 4.37362i | 0.480990 | − | 0.141232i | ||||
\(960\) | −1.01315 | + | 7.04661i | −0.0326993 | + | 0.227429i | ||||
\(961\) | 4.57444 | + | 10.0166i | 0.147563 | + | 0.323117i | ||||
\(962\) | 6.65321 | + | 46.2741i | 0.214508 | + | 1.49194i | ||||
\(963\) | 41.2397 | − | 26.5031i | 1.32893 | − | 0.854052i | ||||
\(964\) | −0.551565 | + | 0.636540i | −0.0177647 | + | 0.0205016i | ||||
\(965\) | 9.32174 | 0.300077 | ||||||||
\(966\) | 3.07552 | − | 14.7607i | 0.0989531 | − | 0.474919i | ||||
\(967\) | −10.9070 | −0.350746 | −0.175373 | − | 0.984502i | \(-0.556113\pi\) | ||||
−0.175373 | + | 0.984502i | \(0.556113\pi\) | |||||||
\(968\) | −4.86834 | + | 5.61836i | −0.156474 | + | 0.180581i | ||||
\(969\) | 25.6597 | − | 16.4905i | 0.824309 | − | 0.529751i | ||||
\(970\) | 2.78064 | + | 19.3398i | 0.0892809 | + | 0.620962i | ||||
\(971\) | −3.19112 | − | 6.98759i | −0.102408 | − | 0.224242i | 0.851492 | − | 0.524368i | \(-0.175699\pi\) |
−0.953900 | + | 0.300126i | \(0.902971\pi\) | |||||||
\(972\) | −2.72377 | + | 18.9442i | −0.0873649 | + | 0.607636i | ||||
\(973\) | 2.62525 | − | 0.770844i | 0.0841617 | − | 0.0247121i | ||||
\(974\) | −15.5212 | − | 9.97487i | −0.497331 | − | 0.319615i | ||||
\(975\) | 1.14095 | − | 2.49834i | 0.0365398 | − | 0.0800109i | ||||
\(976\) | 5.92546 | + | 1.73987i | 0.189669 | + | 0.0556919i | ||||
\(977\) | 32.4139 | + | 37.4077i | 1.03701 | + | 1.19678i | 0.980122 | + | 0.198397i | \(0.0635737\pi\) |
0.0568922 | + | 0.998380i | \(0.481881\pi\) | |||||||
\(978\) | 12.7550 | + | 14.7200i | 0.407860 | + | 0.470695i | ||||
\(979\) | 3.65735 | + | 1.07390i | 0.116889 | + | 0.0343218i | ||||
\(980\) | 0.940662 | − | 2.05976i | 0.0300483 | − | 0.0657967i | ||||
\(981\) | −15.8727 | − | 10.2008i | −0.506777 | − | 0.325686i | ||||
\(982\) | 3.43410 | − | 1.00834i | 0.109587 | − | 0.0321775i | ||||
\(983\) | 2.66346 | − | 18.5248i | 0.0849513 | − | 0.590849i | −0.902231 | − | 0.431253i | \(-0.858072\pi\) |
0.987182 | − | 0.159596i | \(-0.0510192\pi\) | |||||||
\(984\) | −0.00765977 | − | 0.0167726i | −0.000244185 | − | 0.000534690i | ||||
\(985\) | 3.43200 | + | 23.8701i | 0.109353 | + | 0.760565i | ||||
\(986\) | −36.3964 | + | 23.3905i | −1.15910 | + | 0.744906i | ||||
\(987\) | −12.0038 | + | 13.8531i | −0.382085 | + | 0.440950i | ||||
\(988\) | 14.4171 | 0.458668 | ||||||||
\(989\) | 23.2352 | − | 5.26860i | 0.738836 | − | 0.167532i | ||||
\(990\) | −66.9301 | −2.12718 | ||||||||
\(991\) | −26.8178 | + | 30.9494i | −0.851896 | + | 0.983140i | −0.999983 | − | 0.00583396i | \(-0.998143\pi\) |
0.148087 | + | 0.988974i | \(0.452688\pi\) | |||||||
\(992\) | 5.45271 | − | 3.50424i | 0.173124 | − | 0.111260i | ||||
\(993\) | −11.3111 | − | 78.6707i | −0.358948 | − | 2.49654i | ||||
\(994\) | −0.964260 | − | 2.11143i | −0.0305845 | − | 0.0669706i | ||||
\(995\) | −7.24225 | + | 50.3710i | −0.229595 | + | 1.59687i | ||||
\(996\) | 11.1306 | − | 3.26823i | 0.352686 | − | 0.103558i | ||||
\(997\) | 21.8607 | + | 14.0490i | 0.692335 | + | 0.444936i | 0.838915 | − | 0.544262i | \(-0.183190\pi\) |
−0.146580 | + | 0.989199i | \(0.546827\pi\) | |||||||
\(998\) | −3.06905 | + | 6.72029i | −0.0971491 | + | 0.212727i | ||||
\(999\) | 79.9226 | + | 23.4674i | 2.52864 | + | 0.742476i |
(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 | 322.2.i.d.85.4 | ✓ | 40 | |
23.6 | even | 11 | 7406.2.a.bu.1.19 | 20 | |||
23.13 | even | 11 | inner | 322.2.i.d.197.4 | yes | 40 | |
23.17 | odd | 22 | 7406.2.a.bv.1.19 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.i.d.85.4 | ✓ | 40 | 1.1 | even | 1 | trivial | |
322.2.i.d.197.4 | yes | 40 | 23.13 | even | 11 | inner | |
7406.2.a.bu.1.19 | 20 | 23.6 | even | 11 | |||
7406.2.a.bv.1.19 | 20 | 23.17 | odd | 22 |