Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,12,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), degree \(2\), 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: | \(12.2934908890\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(21\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 13.7 | ||
Character | \(\chi\) | \(=\) | 16.13 |
Dual form | 16.12.e.a.5.7 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −30.9382 | + | 33.0277i | −0.683643 | + | 0.729816i | ||||
\(3\) | 585.540 | + | 585.540i | 1.39120 | + | 1.39120i | 0.822644 | + | 0.568557i | \(0.192498\pi\) |
0.568557 | + | 0.822644i | \(0.307502\pi\) | |||||||
\(4\) | −133.660 | − | 2043.63i | −0.0652637 | − | 0.997868i | ||||
\(5\) | −6859.07 | + | 6859.07i | −0.981591 | + | 0.981591i | −0.999834 | − | 0.0182428i | \(-0.994193\pi\) |
0.0182428 | + | 0.999834i | \(0.494193\pi\) | |||||||
\(6\) | −37454.6 | + | 1223.52i | −1.96641 | + | 0.0642359i | ||||
\(7\) | − | 19914.8i | − | 0.447854i | −0.974606 | − | 0.223927i | \(-0.928112\pi\) | ||
0.974606 | − | 0.223927i | \(-0.0718877\pi\) | |||||||
\(8\) | 71631.8 | + | 58811.8i | 0.772877 | + | 0.634555i | ||||
\(9\) | 508568.i | 2.87088i | ||||||||
\(10\) | −14332.4 | − | 438747.i | −0.0453230 | − | 1.38744i | ||||
\(11\) | −96496.9 | + | 96496.9i | −0.180656 | + | 0.180656i | −0.791642 | − | 0.610985i | \(-0.790773\pi\) |
0.610985 | + | 0.791642i | \(0.290773\pi\) | |||||||
\(12\) | 1.11837e6 | − | 1.27489e6i | 1.29744 | − | 1.47903i | ||||
\(13\) | −674561. | − | 674561.i | −0.503887 | − | 0.503887i | 0.408757 | − | 0.912643i | \(-0.365962\pi\) |
−0.912643 | + | 0.408757i | \(0.865962\pi\) | |||||||
\(14\) | 657740. | + | 616127.i | 0.326851 | + | 0.306172i | ||||
\(15\) | −8.03253e6 | −2.73118 | ||||||||
\(16\) | −4.15857e6 | + | 546304.i | −0.991481 | + | 0.130249i | ||||
\(17\) | 3.70861e6 | 0.633494 | 0.316747 | − | 0.948510i | \(-0.397409\pi\) | ||||
0.316747 | + | 0.948510i | \(0.397409\pi\) | |||||||
\(18\) | −1.67968e7 | − | 1.57342e7i | −2.09521 | − | 1.96266i | ||||
\(19\) | −2.61985e6 | − | 2.61985e6i | −0.242735 | − | 0.242735i | 0.575246 | − | 0.817981i | \(-0.304906\pi\) |
−0.817981 | + | 0.575246i | \(0.804906\pi\) | |||||||
\(20\) | 1.49342e7 | + | 1.31007e7i | 1.04356 | + | 0.915436i | ||||
\(21\) | 1.16609e7 | − | 1.16609e7i | 0.623055 | − | 0.623055i | ||||
\(22\) | −201635. | − | 6.17251e6i | −0.00834145 | − | 0.255351i | ||||
\(23\) | − | 2.97611e7i | − | 0.964153i | −0.876129 | − | 0.482077i | \(-0.839883\pi\) | ||
0.876129 | − | 0.482077i | \(-0.160117\pi\) | |||||||
\(24\) | 7.50660e6 | + | 7.63799e7i | 0.192434 | + | 1.95802i | ||||
\(25\) | − | 4.52657e7i | − | 0.927041i | ||||||
\(26\) | 4.31489e7 | − | 1.40953e6i | 0.712223 | − | 0.0232660i | ||||
\(27\) | −1.94060e8 | + | 1.94060e8i | −2.60277 | + | 2.60277i | ||||
\(28\) | −4.06985e7 | + | 2.66181e6i | −0.446899 | + | 0.0292286i | ||||
\(29\) | 4.14366e7 | + | 4.14366e7i | 0.375142 | + | 0.375142i | 0.869346 | − | 0.494204i | \(-0.164541\pi\) |
−0.494204 | + | 0.869346i | \(0.664541\pi\) | |||||||
\(30\) | 2.48512e8 | − | 2.65296e8i | 1.86715 | − | 1.99326i | ||||
\(31\) | 6.07925e7 | 0.381382 | 0.190691 | − | 0.981650i | \(-0.438927\pi\) | ||||
0.190691 | + | 0.981650i | \(0.438927\pi\) | |||||||
\(32\) | 1.10615e8 | − | 1.54250e8i | 0.582762 | − | 0.812643i | ||||
\(33\) | −1.13006e8 | −0.502659 | ||||||||
\(34\) | −1.14738e8 | + | 1.22487e8i | −0.433084 | + | 0.462334i | ||||
\(35\) | 1.36597e8 | + | 1.36597e8i | 0.439609 | + | 0.439609i | ||||
\(36\) | 1.03933e9 | − | 6.79752e7i | 2.86476 | − | 0.187364i | ||||
\(37\) | −4.37984e8 | + | 4.37984e8i | −1.03836 | + | 1.03836i | −0.0391281 | + | 0.999234i | \(0.512458\pi\) |
−0.999234 | + | 0.0391281i | \(0.987542\pi\) | |||||||
\(38\) | 1.67581e8 | − | 5.47432e6i | 0.343096 | − | 0.0112078i | ||||
\(39\) | − | 7.89965e8i | − | 1.40201i | ||||||
\(40\) | −8.94722e8 | + | 8.79330e7i | −1.38152 | + | 0.135776i | ||||
\(41\) | 1.20680e9i | 1.62677i | 0.581729 | + | 0.813383i | \(0.302376\pi\) | ||||
−0.581729 | + | 0.813383i | \(0.697624\pi\) | |||||||
\(42\) | 2.43661e7 | + | 7.45900e8i | 0.0287683 | + | 0.880663i | ||||
\(43\) | −1.45559e8 | + | 1.45559e8i | −0.150995 | + | 0.150995i | −0.778562 | − | 0.627567i | \(-0.784051\pi\) |
0.627567 | + | 0.778562i | \(0.284051\pi\) | |||||||
\(44\) | 2.10102e8 | + | 1.84306e8i | 0.192062 | + | 0.168481i | ||||
\(45\) | −3.48830e9 | − | 3.48830e9i | −2.81803 | − | 2.81803i | ||||
\(46\) | 9.82941e8 | + | 9.20754e8i | 0.703655 | + | 0.659137i | ||||
\(47\) | 1.52664e9 | 0.970953 | 0.485476 | − | 0.874250i | \(-0.338646\pi\) | ||||
0.485476 | + | 0.874250i | \(0.338646\pi\) | |||||||
\(48\) | −2.75490e9 | − | 2.11513e9i | −1.56055 | − | 1.19815i | ||||
\(49\) | 1.58073e9 | 0.799427 | ||||||||
\(50\) | 1.49502e9 | + | 1.40044e9i | 0.676570 | + | 0.633765i | ||||
\(51\) | 2.17154e9 | + | 2.17154e9i | 0.881317 | + | 0.881317i | ||||
\(52\) | −1.28839e9 | + | 1.46872e9i | −0.469927 | + | 0.535698i | ||||
\(53\) | −2.52787e9 | + | 2.52787e9i | −0.830306 | + | 0.830306i | −0.987558 | − | 0.157252i | \(-0.949736\pi\) |
0.157252 | + | 0.987558i | \(0.449736\pi\) | |||||||
\(54\) | −4.05499e8 | − | 1.24132e10i | −0.120178 | − | 3.67891i | ||||
\(55\) | − | 1.32376e9i | − | 0.354661i | ||||||
\(56\) | 1.17122e9 | − | 1.42653e9i | 0.284188 | − | 0.346136i | ||||
\(57\) | − | 3.06806e9i | − | 0.675386i | ||||||
\(58\) | −2.65053e9 | + | 8.65839e7i | −0.530247 | + | 0.0173214i | ||||
\(59\) | −4.54873e9 | + | 4.54873e9i | −0.828332 | + | 0.828332i | −0.987286 | − | 0.158954i | \(-0.949188\pi\) |
0.158954 | + | 0.987286i | \(0.449188\pi\) | |||||||
\(60\) | 1.07363e9 | + | 1.64155e10i | 0.178247 | + | 2.72536i | ||||
\(61\) | 9.96512e7 | + | 9.96512e7i | 0.0151067 | + | 0.0151067i | 0.714620 | − | 0.699513i | \(-0.246600\pi\) |
−0.699513 | + | 0.714620i | \(0.746600\pi\) | |||||||
\(62\) | −1.88081e9 | + | 2.00784e9i | −0.260729 | + | 0.278339i | ||||
\(63\) | 1.01280e10 | 1.28573 | ||||||||
\(64\) | 1.67228e9 | + | 8.42558e9i | 0.194679 | + | 0.980867i | ||||
\(65\) | 9.25373e9 | 0.989221 | ||||||||
\(66\) | 3.49619e9 | − | 3.73232e9i | 0.343639 | − | 0.366849i | ||||
\(67\) | 7.32144e9 | + | 7.32144e9i | 0.662498 | + | 0.662498i | 0.955968 | − | 0.293470i | \(-0.0948101\pi\) |
−0.293470 | + | 0.955968i | \(0.594810\pi\) | |||||||
\(68\) | −4.95693e8 | − | 7.57904e9i | −0.0413441 | − | 0.632143i | ||||
\(69\) | 1.74263e10 | − | 1.74263e10i | 1.34133 | − | 1.34133i | ||||
\(70\) | −8.73755e9 | + | 2.85426e8i | −0.621370 | + | 0.0202981i | ||||
\(71\) | 1.31476e9i | 0.0864822i | 0.999065 | + | 0.0432411i | \(0.0137684\pi\) | ||||
−0.999065 | + | 0.0432411i | \(0.986232\pi\) | |||||||
\(72\) | −2.99098e10 | + | 3.64296e10i | −1.82173 | + | 2.21884i | ||||
\(73\) | − | 2.59505e9i | − | 0.146511i | −0.997313 | − | 0.0732556i | \(-0.976661\pi\) | ||
0.997313 | − | 0.0732556i | \(-0.0233389\pi\) | |||||||
\(74\) | −9.15190e8 | − | 2.80160e10i | −0.0479443 | − | 1.46768i | ||||
\(75\) | 2.65049e10 | − | 2.65049e10i | 1.28970 | − | 1.28970i | ||||
\(76\) | −5.00385e9 | + | 5.70419e9i | −0.226375 | + | 0.258059i | ||||
\(77\) | 1.92171e9 | + | 1.92171e9i | 0.0809077 | + | 0.0809077i | ||||
\(78\) | 2.60907e10 | + | 2.44401e10i | 1.02321 | + | 0.958478i | ||||
\(79\) | −4.08802e9 | −0.149473 | −0.0747367 | − | 0.997203i | \(-0.523812\pi\) | ||||
−0.0747367 | + | 0.997203i | \(0.523812\pi\) | |||||||
\(80\) | 2.47768e10 | − | 3.22711e10i | 0.845378 | − | 1.10108i | ||||
\(81\) | −1.37169e11 | −4.37107 | ||||||||
\(82\) | −3.98579e10 | − | 3.73363e10i | −1.18724 | − | 1.11213i | ||||
\(83\) | 3.03277e10 | + | 3.03277e10i | 0.845103 | + | 0.845103i | 0.989517 | − | 0.144415i | \(-0.0461299\pi\) |
−0.144415 | + | 0.989517i | \(0.546130\pi\) | |||||||
\(84\) | −2.53892e10 | − | 2.22720e10i | −0.662389 | − | 0.581064i | ||||
\(85\) | −2.54376e10 | + | 2.54376e10i | −0.621832 | + | 0.621832i | ||||
\(86\) | −3.04154e8 | − | 9.31083e9i | −0.00697191 | − | 0.213426i | ||||
\(87\) | 4.85256e10i | 1.04379i | ||||||||
\(88\) | −1.25874e10 | + | 1.23709e9i | −0.254262 | + | 0.0249888i | ||||
\(89\) | − | 5.68675e10i | − | 1.07949i | −0.841828 | − | 0.539746i | \(-0.818520\pi\) | ||
0.841828 | − | 0.539746i | \(-0.181480\pi\) | |||||||
\(90\) | 2.23132e11 | − | 7.28899e9i | 3.98317 | − | 0.130117i | ||||
\(91\) | −1.34337e10 | + | 1.34337e10i | −0.225668 | + | 0.225668i | ||||
\(92\) | −6.08208e10 | + | 3.97787e9i | −0.962098 | + | 0.0629242i | ||||
\(93\) | 3.55964e10 | + | 3.55964e10i | 0.530579 | + | 0.530579i | ||||
\(94\) | −4.72314e10 | + | 5.04214e10i | −0.663785 | + | 0.708617i | ||||
\(95\) | 3.59395e10 | 0.476532 | ||||||||
\(96\) | 1.55089e11 | − | 2.55497e10i | 1.94129 | − | 0.319811i | ||||
\(97\) | −5.73135e10 | −0.677661 | −0.338830 | − | 0.940847i | \(-0.610031\pi\) | ||||
−0.338830 | + | 0.940847i | \(0.610031\pi\) | |||||||
\(98\) | −4.89048e10 | + | 5.22078e10i | −0.546523 | + | 0.583435i | ||||
\(99\) | −4.90752e10 | − | 4.90752e10i | −0.518643 | − | 0.518643i | ||||
\(100\) | −9.25064e10 | + | 6.05021e9i | −0.925064 | + | 0.0605021i | ||||
\(101\) | 3.62044e10 | − | 3.62044e10i | 0.342763 | − | 0.342763i | −0.514642 | − | 0.857405i | \(-0.672075\pi\) |
0.857405 | + | 0.514642i | \(0.172075\pi\) | |||||||
\(102\) | −1.38905e11 | + | 4.53755e9i | −1.24571 | + | 0.0406930i | ||||
\(103\) | − | 9.12485e10i | − | 0.775570i | −0.921750 | − | 0.387785i | \(-0.873240\pi\) | ||
0.921750 | − | 0.387785i | \(-0.126760\pi\) | |||||||
\(104\) | −8.64784e9 | − | 8.79921e10i | −0.0696987 | − | 0.709186i | ||||
\(105\) | 1.59966e11i | 1.22317i | ||||||||
\(106\) | −5.28212e9 | − | 1.61698e11i | −0.0383377 | − | 1.17360i | ||||
\(107\) | 7.80580e10 | − | 7.80580e10i | 0.538030 | − | 0.538030i | −0.384920 | − | 0.922950i | \(-0.625771\pi\) |
0.922950 | + | 0.384920i | \(0.125771\pi\) | |||||||
\(108\) | 4.22526e11 | + | 3.70650e11i | 2.76709 | + | 2.42735i | ||||
\(109\) | 3.50084e9 | + | 3.50084e9i | 0.0217935 | + | 0.0217935i | 0.717920 | − | 0.696126i | \(-0.245095\pi\) |
−0.696126 | + | 0.717920i | \(0.745095\pi\) | |||||||
\(110\) | 4.37207e10 | + | 4.09547e10i | 0.258838 | + | 0.242462i | ||||
\(111\) | −5.12915e11 | −2.88914 | ||||||||
\(112\) | 1.08795e10 | + | 8.28171e10i | 0.0583326 | + | 0.444039i | ||||
\(113\) | 3.13967e11 | 1.60307 | 0.801534 | − | 0.597949i | \(-0.204018\pi\) | ||||
0.801534 | + | 0.597949i | \(0.204018\pi\) | |||||||
\(114\) | 1.01331e11 | + | 9.49201e10i | 0.492907 | + | 0.461723i | ||||
\(115\) | 2.04134e11 | + | 2.04134e11i | 0.946404 | + | 0.946404i | ||||
\(116\) | 7.91428e10 | − | 9.02197e10i | 0.349859 | − | 0.398825i | ||||
\(117\) | 3.43060e11 | − | 3.43060e11i | 1.44660 | − | 1.44660i | ||||
\(118\) | −9.50482e9 | − | 2.90964e11i | −0.0382466 | − | 1.17081i | ||||
\(119\) | − | 7.38562e10i | − | 0.283713i | ||||||
\(120\) | −5.75384e11 | − | 4.72407e11i | −2.11087 | − | 1.73308i | ||||
\(121\) | 2.66688e11i | 0.934727i | ||||||||
\(122\) | −6.37427e9 | + | 2.08226e8i | −0.0213526 | + | 0.000697519i | ||||
\(123\) | −7.06631e11 | + | 7.06631e11i | −2.26316 | + | 2.26316i | ||||
\(124\) | −8.12552e9 | − | 1.24238e11i | −0.0248904 | − | 0.380569i | ||||
\(125\) | −2.44352e10 | − | 2.44352e10i | −0.0716160 | − | 0.0716160i | ||||
\(126\) | −3.13342e11 | + | 3.34505e11i | −0.878984 | + | 0.938350i | ||||
\(127\) | 6.20048e11 | 1.66535 | 0.832673 | − | 0.553765i | \(-0.186809\pi\) | ||||
0.832673 | + | 0.553765i | \(0.186809\pi\) | |||||||
\(128\) | −3.30015e11 | − | 2.05440e11i | −0.848944 | − | 0.528483i | ||||
\(129\) | −1.70462e11 | −0.420130 | ||||||||
\(130\) | −2.86293e11 | + | 3.05629e11i | −0.676274 | + | 0.721949i | ||||
\(131\) | 1.33237e9 | + | 1.33237e9i | 0.00301739 | + | 0.00301739i | 0.708614 | − | 0.705596i | \(-0.249321\pi\) |
−0.705596 | + | 0.708614i | \(0.749321\pi\) | |||||||
\(132\) | 1.51043e10 | + | 2.30942e11i | 0.0328054 | + | 0.501587i | ||||
\(133\) | −5.21738e10 | + | 5.21738e10i | −0.108710 | + | 0.108710i | ||||
\(134\) | −4.68322e11 | + | 1.52985e10i | −0.936415 | + | 0.0305895i | ||||
\(135\) | − | 2.66215e12i | − | 5.10971i | ||||||
\(136\) | 2.65654e11 | + | 2.18110e11i | 0.489613 | + | 0.401987i | ||||
\(137\) | − | 2.80780e11i | − | 0.497054i | −0.968625 | − | 0.248527i | \(-0.920054\pi\) | ||
0.968625 | − | 0.248527i | \(-0.0799464\pi\) | |||||||
\(138\) | 3.64132e10 | + | 1.11469e12i | 0.0619333 | + | 1.89592i | ||||
\(139\) | 1.98123e11 | − | 1.98123e11i | 0.323857 | − | 0.323857i | −0.526388 | − | 0.850245i | \(-0.676454\pi\) |
0.850245 | + | 0.526388i | \(0.176454\pi\) | |||||||
\(140\) | 2.60897e11 | − | 2.97412e11i | 0.409982 | − | 0.467363i | ||||
\(141\) | 8.93909e11 | + | 8.93909e11i | 1.35079 | + | 1.35079i | ||||
\(142\) | −4.34236e10 | − | 4.06764e10i | −0.0631161 | − | 0.0591230i | ||||
\(143\) | 1.30186e11 | 0.182061 | ||||||||
\(144\) | −2.77833e11 | − | 2.11492e12i | −0.373929 | − | 2.84642i | ||||
\(145\) | −5.68434e11 | −0.736471 | ||||||||
\(146\) | 8.57087e10 | + | 8.02862e10i | 0.106926 | + | 0.100161i | ||||
\(147\) | 9.25580e11 | + | 9.25580e11i | 1.11216 | + | 1.11216i | ||||
\(148\) | 9.53620e11 | + | 8.36538e11i | 1.10392 | + | 0.968381i | ||||
\(149\) | 6.80120e11 | − | 6.80120e11i | 0.758685 | − | 0.758685i | −0.217398 | − | 0.976083i | \(-0.569757\pi\) |
0.976083 | + | 0.217398i | \(0.0697571\pi\) | |||||||
\(150\) | 5.53833e10 | + | 1.69541e12i | 0.0595493 | + | 1.82294i | ||||
\(151\) | 1.24483e12i | 1.29044i | 0.763996 | + | 0.645221i | \(0.223235\pi\) | ||||
−0.763996 | + | 0.645221i | \(0.776765\pi\) | |||||||
\(152\) | −3.35864e10 | − | 3.41743e11i | −0.0335756 | − | 0.341633i | ||||
\(153\) | 1.88608e12i | 1.81868i | ||||||||
\(154\) | −1.22924e11 | + | 4.01552e9i | −0.114360 | + | 0.00373575i | ||||
\(155\) | −4.16980e11 | + | 4.16980e11i | −0.374361 | + | 0.374361i | ||||
\(156\) | −1.61440e12 | + | 1.05587e11i | −1.39903 | + | 0.0915006i | ||||
\(157\) | −5.32516e11 | − | 5.32516e11i | −0.445538 | − | 0.445538i | 0.448330 | − | 0.893868i | \(-0.352019\pi\) |
−0.893868 | + | 0.448330i | \(0.852019\pi\) | |||||||
\(158\) | 1.26476e11 | − | 1.35018e11i | 0.102187 | − | 0.109088i | ||||
\(159\) | −2.96035e12 | −2.31025 | ||||||||
\(160\) | 2.99291e11 | + | 1.81673e12i | 0.225650 | + | 1.36972i | ||||
\(161\) | −5.92686e11 | −0.431800 | ||||||||
\(162\) | 4.24375e12 | − | 4.53037e12i | 2.98825 | − | 3.19008i | ||||
\(163\) | −2.47550e9 | − | 2.47550e9i | −0.00168512 | − | 0.00168512i | 0.706264 | − | 0.707949i | \(-0.250379\pi\) |
−0.707949 | + | 0.706264i | \(0.750379\pi\) | |||||||
\(164\) | 2.46626e12 | − | 1.61301e11i | 1.62330 | − | 0.106169i | ||||
\(165\) | 7.75114e11 | − | 7.75114e11i | 0.493405 | − | 0.493405i | ||||
\(166\) | −1.93994e12 | + | 6.33712e10i | −1.19452 | + | 0.0390209i | ||||
\(167\) | 1.98829e12i | 1.18451i | 0.805751 | + | 0.592254i | \(0.201762\pi\) | ||||
−0.805751 | + | 0.592254i | \(0.798238\pi\) | |||||||
\(168\) | 1.52109e12 | − | 1.49492e11i | 0.876908 | − | 0.0861823i | ||||
\(169\) | − | 8.82095e11i | − | 0.492197i | ||||||
\(170\) | −5.31533e10 | − | 1.62714e12i | −0.0287118 | − | 0.878934i | ||||
\(171\) | 1.33237e12 | − | 1.33237e12i | 0.696862 | − | 0.696862i | ||||
\(172\) | 3.16925e11 | + | 2.78014e11i | 0.160528 | + | 0.140819i | ||||
\(173\) | 2.52033e11 | + | 2.52033e11i | 0.123653 | + | 0.123653i | 0.766225 | − | 0.642572i | \(-0.222133\pi\) |
−0.642572 | + | 0.766225i | \(0.722133\pi\) | |||||||
\(174\) | −1.60269e12 | − | 1.50129e12i | −0.761778 | − | 0.713583i | ||||
\(175\) | −9.01456e11 | −0.415179 | ||||||||
\(176\) | 3.48573e11 | − | 4.54006e11i | 0.155587 | − | 0.202648i | ||||
\(177\) | −5.32693e12 | −2.30475 | ||||||||
\(178\) | 1.87820e12 | + | 1.75938e12i | 0.787830 | + | 0.737987i | ||||
\(179\) | −1.45805e12 | − | 1.45805e12i | −0.593037 | − | 0.593037i | 0.345414 | − | 0.938451i | \(-0.387739\pi\) |
−0.938451 | + | 0.345414i | \(0.887739\pi\) | |||||||
\(180\) | −6.66257e12 | + | 7.59506e12i | −2.62811 | + | 2.99594i | ||||
\(181\) | 1.35746e12 | − | 1.35746e12i | 0.519392 | − | 0.519392i | −0.397996 | − | 0.917387i | \(-0.630294\pi\) |
0.917387 | + | 0.397996i | \(0.130294\pi\) | |||||||
\(182\) | −2.80705e10 | − | 8.59301e11i | −0.0104197 | − | 0.318972i | ||||
\(183\) | 1.16700e11i | 0.0420328i | ||||||||
\(184\) | 1.75030e12 | − | 2.13184e12i | 0.611809 | − | 0.745172i | ||||
\(185\) | − | 6.00833e12i | − | 2.03849i | ||||||
\(186\) | −2.27696e12 | + | 7.43806e10i | −0.749953 | + | 0.0244984i | ||||
\(187\) | −3.57869e11 | + | 3.57869e11i | −0.114445 | + | 0.114445i | ||||
\(188\) | −2.04051e11 | − | 3.11989e12i | −0.0633679 | − | 0.968883i | ||||
\(189\) | 3.86467e12 | + | 3.86467e12i | 1.16566 | + | 1.16566i | ||||
\(190\) | −1.11190e12 | + | 1.18700e12i | −0.325778 | + | 0.347781i | ||||
\(191\) | 2.60506e12 | 0.741539 | 0.370770 | − | 0.928725i | \(-0.379094\pi\) | ||||
0.370770 | + | 0.928725i | \(0.379094\pi\) | |||||||
\(192\) | −3.95433e12 | + | 5.91271e12i | −1.09375 | + | 1.63542i | ||||
\(193\) | −2.54172e12 | −0.683222 | −0.341611 | − | 0.939841i | \(-0.610973\pi\) | ||||
−0.341611 | + | 0.939841i | \(0.610973\pi\) | |||||||
\(194\) | 1.77317e12 | − | 1.89293e12i | 0.463278 | − | 0.494568i | ||||
\(195\) | 5.41843e12 | + | 5.41843e12i | 1.37620 | + | 1.37620i | ||||
\(196\) | −2.11280e11 | − | 3.23043e12i | −0.0521735 | − | 0.797723i | ||||
\(197\) | −2.85642e12 | + | 2.85642e12i | −0.685896 | + | 0.685896i | −0.961322 | − | 0.275426i | \(-0.911181\pi\) |
0.275426 | + | 0.961322i | \(0.411181\pi\) | |||||||
\(198\) | 3.13914e12 | − | 1.02545e11i | 0.733081 | − | 0.0239473i | ||||
\(199\) | − | 3.66476e12i | − | 0.832442i | −0.909263 | − | 0.416221i | \(-0.863354\pi\) | ||
0.909263 | − | 0.416221i | \(-0.136646\pi\) | |||||||
\(200\) | 2.66215e12 | − | 3.24246e12i | 0.588259 | − | 0.716489i | ||||
\(201\) | 8.57399e12i | 1.84334i | ||||||||
\(202\) | 7.56510e10 | + | 2.31585e12i | 0.0158264 | + | 0.484482i | ||||
\(203\) | 8.25201e11 | − | 8.25201e11i | 0.168009 | − | 0.168009i | ||||
\(204\) | 4.14759e12 | − | 4.72808e12i | 0.821920 | − | 0.936956i | ||||
\(205\) | −8.27755e12 | − | 8.27755e12i | −1.59682 | − | 1.59682i | ||||
\(206\) | 3.01373e12 | + | 2.82306e12i | 0.566024 | + | 0.530213i | ||||
\(207\) | 1.51355e13 | 2.76797 | ||||||||
\(208\) | 3.17373e12 | + | 2.43670e12i | 0.565225 | + | 0.433963i | ||||
\(209\) | 5.05615e11 | 0.0877032 | ||||||||
\(210\) | −5.28331e12 | − | 4.94906e12i | −0.892689 | − | 0.836212i | ||||
\(211\) | 1.86773e12 | + | 1.86773e12i | 0.307441 | + | 0.307441i | 0.843916 | − | 0.536475i | \(-0.180245\pi\) |
−0.536475 | + | 0.843916i | \(0.680245\pi\) | |||||||
\(212\) | 5.50393e12 | + | 4.82817e12i | 0.882725 | + | 0.774347i | ||||
\(213\) | −7.69847e11 | + | 7.69847e11i | −0.120314 | + | 0.120314i | ||||
\(214\) | 1.63106e11 | + | 4.99305e12i | 0.0248425 | + | 0.760484i | ||||
\(215\) | − | 1.99680e12i | − | 0.296431i | ||||||
\(216\) | −2.53139e13 | + | 2.48784e12i | −3.66322 | + | 0.360021i | ||||
\(217\) | − | 1.21067e12i | − | 0.170804i | ||||||
\(218\) | −2.23934e11 | + | 7.31518e9i | −0.0308042 | + | 0.00100627i | ||||
\(219\) | 1.51951e12 | − | 1.51951e12i | 0.203826 | − | 0.203826i | ||||
\(220\) | −2.70528e12 | + | 1.76934e11i | −0.353905 | + | 0.0231465i | ||||
\(221\) | −2.50168e12 | − | 2.50168e12i | −0.319209 | − | 0.319209i | ||||
\(222\) | 1.58686e13 | − | 1.69404e13i | 1.97514 | − | 2.10854i | ||||
\(223\) | −1.26372e13 | −1.53453 | −0.767263 | − | 0.641332i | \(-0.778382\pi\) | ||||
−0.767263 | + | 0.641332i | \(0.778382\pi\) | |||||||
\(224\) | −3.07185e12 | − | 2.20288e12i | −0.363945 | − | 0.260992i | ||||
\(225\) | 2.30207e13 | 2.66142 | ||||||||
\(226\) | −9.71355e12 | + | 1.03696e13i | −1.09593 | + | 1.16995i | ||||
\(227\) | 6.38980e12 | + | 6.38980e12i | 0.703632 | + | 0.703632i | 0.965188 | − | 0.261557i | \(-0.0842358\pi\) |
−0.261557 | + | 0.965188i | \(0.584236\pi\) | |||||||
\(228\) | −6.26999e12 | + | 4.10077e11i | −0.673946 | + | 0.0440781i | ||||
\(229\) | 1.21476e12 | − | 1.21476e12i | 0.127466 | − | 0.127466i | −0.640496 | − | 0.767962i | \(-0.721271\pi\) |
0.767962 | + | 0.640496i | \(0.221271\pi\) | |||||||
\(230\) | −1.30576e13 | + | 4.26548e11i | −1.33770 | + | 0.0436983i | ||||
\(231\) | 2.25048e12i | 0.225118i | ||||||||
\(232\) | 5.31216e11 | + | 5.40514e12i | 0.0518904 | + | 0.527987i | ||||
\(233\) | − | 1.65378e13i | − | 1.57769i | −0.614595 | − | 0.788843i | \(-0.710681\pi\) | ||
0.614595 | − | 0.788843i | \(-0.289319\pi\) | |||||||
\(234\) | 7.16841e11 | + | 2.19441e13i | 0.0667938 | + | 2.04471i | ||||
\(235\) | −1.04713e13 | + | 1.04713e13i | −0.953078 | + | 0.953078i | ||||
\(236\) | 9.90393e12 | + | 8.68796e12i | 0.880626 | + | 0.772506i | ||||
\(237\) | −2.39370e12 | − | 2.39370e12i | −0.207948 | − | 0.207948i | ||||
\(238\) | 2.43930e12 | + | 2.28498e12i | 0.207058 | + | 0.193958i | ||||
\(239\) | 9.34650e12 | 0.775283 | 0.387642 | − | 0.921810i | \(-0.373290\pi\) | ||||
0.387642 | + | 0.921810i | \(0.373290\pi\) | |||||||
\(240\) | 3.34039e13 | − | 4.38820e12i | 2.70791 | − | 0.355734i | ||||
\(241\) | 1.11589e13 | 0.884150 | 0.442075 | − | 0.896978i | \(-0.354243\pi\) | ||||
0.442075 | + | 0.896978i | \(0.354243\pi\) | |||||||
\(242\) | −8.80811e12 | − | 8.25085e12i | −0.682179 | − | 0.639020i | ||||
\(243\) | −4.59407e13 | − | 4.59407e13i | −3.47827 | − | 3.47827i | ||||
\(244\) | 1.90331e11 | − | 2.16970e11i | 0.0140885 | − | 0.0160604i | ||||
\(245\) | −1.08423e13 | + | 1.08423e13i | −0.784710 | + | 0.784710i | ||||
\(246\) | −1.47654e12 | − | 4.52003e13i | −0.104497 | − | 3.19888i | ||||
\(247\) | 3.53450e12i | 0.244622i | ||||||||
\(248\) | 4.35467e12 | + | 3.57531e12i | 0.294762 | + | 0.242008i | ||||
\(249\) | 3.55161e13i | 2.35142i | ||||||||
\(250\) | 1.56302e12 | − | 5.10585e10i | 0.101226 | − | 0.00330673i | ||||
\(251\) | −8.13313e12 | + | 8.13313e12i | −0.515291 | + | 0.515291i | −0.916143 | − | 0.400852i | \(-0.868714\pi\) |
0.400852 | + | 0.916143i | \(0.368714\pi\) | |||||||
\(252\) | −1.35371e12 | − | 2.06980e13i | −0.0839118 | − | 1.28299i | ||||
\(253\) | 2.87185e12 | + | 2.87185e12i | 0.174180 | + | 0.174180i | ||||
\(254\) | −1.91831e13 | + | 2.04788e13i | −1.13850 | + | 1.21540i | ||||
\(255\) | −2.97895e13 | −1.73019 | ||||||||
\(256\) | 1.69953e13 | − | 4.54369e12i | 0.966070 | − | 0.258279i | ||||
\(257\) | 1.40965e13 | 0.784294 | 0.392147 | − | 0.919903i | \(-0.371732\pi\) | ||||
0.392147 | + | 0.919903i | \(0.371732\pi\) | |||||||
\(258\) | 5.27377e12 | − | 5.62996e12i | 0.287219 | − | 0.306617i | ||||
\(259\) | 8.72236e12 | + | 8.72236e12i | 0.465035 | + | 0.465035i | ||||
\(260\) | −1.23685e12 | − | 1.89112e13i | −0.0645602 | − | 0.987112i | ||||
\(261\) | −2.10733e13 | + | 2.10733e13i | −1.07699 | + | 1.07699i | ||||
\(262\) | −8.52261e10 | + | 2.78405e9i | −0.00426496 | + | 0.000139322i | ||||
\(263\) | 3.74224e13i | 1.83390i | 0.399003 | + | 0.916950i | \(0.369356\pi\) | ||||
−0.399003 | + | 0.916950i | \(0.630644\pi\) | |||||||
\(264\) | −8.09479e12 | − | 6.64606e12i | −0.388494 | − | 0.318965i | ||||
\(265\) | − | 3.46778e13i | − | 1.63004i | ||||||
\(266\) | −1.09020e11 | − | 3.33734e12i | −0.00501945 | − | 0.153657i | ||||
\(267\) | 3.32982e13 | − | 3.32982e13i | 1.50179 | − | 1.50179i | ||||
\(268\) | 1.39837e13 | − | 1.59409e13i | 0.617849 | − | 0.704323i | ||||
\(269\) | 6.31416e12 | + | 6.31416e12i | 0.273324 | + | 0.273324i | 0.830437 | − | 0.557113i | \(-0.188091\pi\) |
−0.557113 | + | 0.830437i | \(0.688091\pi\) | |||||||
\(270\) | 8.79246e13 | + | 8.23619e13i | 3.72915 | + | 3.49322i | ||||
\(271\) | −3.31124e12 | −0.137613 | −0.0688064 | − | 0.997630i | \(-0.521919\pi\) | ||||
−0.0688064 | + | 0.997630i | \(0.521919\pi\) | |||||||
\(272\) | −1.54225e13 | + | 2.02603e12i | −0.628097 | + | 0.0825120i | ||||
\(273\) | −1.57320e13 | −0.627898 | ||||||||
\(274\) | 9.27353e12 | + | 8.68682e12i | 0.362758 | + | 0.339807i | ||||
\(275\) | 4.36799e12 | + | 4.36799e12i | 0.167476 | + | 0.167476i | ||||
\(276\) | −3.79422e13 | − | 3.32838e13i | −1.42601 | − | 1.25093i | ||||
\(277\) | 3.06698e13 | − | 3.06698e13i | 1.12998 | − | 1.12998i | 0.139803 | − | 0.990179i | \(-0.455353\pi\) |
0.990179 | − | 0.139803i | \(-0.0446469\pi\) | |||||||
\(278\) | 4.13988e11 | + | 1.26731e13i | 0.0149535 | + | 0.457759i | ||||
\(279\) | 3.09171e13i | 1.09490i | ||||||||
\(280\) | 1.75117e12 | + | 1.78182e13i | 0.0608077 | + | 0.618720i | ||||
\(281\) | 1.12496e13i | 0.383046i | 0.981488 | + | 0.191523i | \(0.0613427\pi\) | ||||
−0.981488 | + | 0.191523i | \(0.938657\pi\) | |||||||
\(282\) | −5.71796e13 | + | 1.86787e12i | −1.90929 | + | 0.0623700i | ||||
\(283\) | 3.47187e13 | − | 3.47187e13i | 1.13694 | − | 1.13694i | 0.147946 | − | 0.988995i | \(-0.452734\pi\) |
0.988995 | − | 0.147946i | \(-0.0472662\pi\) | |||||||
\(284\) | 2.68689e12 | − | 1.75731e11i | 0.0862978 | − | 0.00564414i | ||||
\(285\) | 2.10440e13 | + | 2.10440e13i | 0.662952 | + | 0.662952i | ||||
\(286\) | −4.02772e12 | + | 4.29975e12i | −0.124465 | + | 0.132871i | ||||
\(287\) | 2.40332e13 | 0.728553 | ||||||||
\(288\) | 7.84465e13 | + | 5.62555e13i | 2.33300 | + | 1.67304i | ||||
\(289\) | −2.05181e13 | −0.598686 | ||||||||
\(290\) | 1.75863e13 | − | 1.87741e13i | 0.503483 | − | 0.537489i | ||||
\(291\) | −3.35594e13 | − | 3.35594e13i | −0.942763 | − | 0.942763i | ||||
\(292\) | −5.30334e12 | + | 3.46855e11i | −0.146199 | + | 0.00956185i | ||||
\(293\) | −4.28304e13 | + | 4.28304e13i | −1.15873 | + | 1.15873i | −0.173975 | + | 0.984750i | \(0.555661\pi\) |
−0.984750 | + | 0.173975i | \(0.944339\pi\) | |||||||
\(294\) | −5.92055e13 | + | 1.93405e12i | −1.57200 | + | 0.0513519i | ||||
\(295\) | − | 6.24002e13i | − | 1.62617i | ||||||
\(296\) | −5.71322e13 | + | 5.61494e12i | −1.46143 | + | 0.143628i | ||||
\(297\) | − | 3.74524e13i | − | 0.940414i | ||||||
\(298\) | 1.42115e12 | + | 4.35045e13i | 0.0350307 | + | 1.07237i | ||||
\(299\) | −2.00757e13 | + | 2.00757e13i | −0.485824 | + | 0.485824i | ||||
\(300\) | −5.77089e13 | − | 5.06236e13i | −1.37112 | − | 1.20278i | ||||
\(301\) | 2.89878e12 | + | 2.89878e12i | 0.0676238 | + | 0.0676238i | ||||
\(302\) | −4.11140e13 | − | 3.85129e13i | −0.941785 | − | 0.882202i | ||||
\(303\) | 4.23983e13 | 0.953705 | ||||||||
\(304\) | 1.23261e13 | + | 9.46361e12i | 0.272283 | + | 0.209051i | ||||
\(305\) | −1.36703e12 | −0.0296571 | ||||||||
\(306\) | −6.22929e13 | − | 5.83519e13i | −1.32731 | − | 1.24333i | ||||
\(307\) | 5.00993e11 | + | 5.00993e11i | 0.0104851 | + | 0.0104851i | 0.712330 | − | 0.701845i | \(-0.247640\pi\) |
−0.701845 | + | 0.712330i | \(0.747640\pi\) | |||||||
\(308\) | 3.67042e12 | − | 4.18414e12i | 0.0754549 | − | 0.0860155i | ||||
\(309\) | 5.34297e13 | − | 5.34297e13i | 1.07897 | − | 1.07897i | ||||
\(310\) | −8.71301e11 | − | 2.66725e13i | −0.0172854 | − | 0.529145i | ||||
\(311\) | 6.71357e13i | 1.30849i | 0.756282 | + | 0.654246i | \(0.227014\pi\) | ||||
−0.756282 | + | 0.654246i | \(0.772986\pi\) | |||||||
\(312\) | 4.64593e13 | − | 5.65866e13i | 0.889656 | − | 1.08359i | ||||
\(313\) | − | 1.16967e13i | − | 0.220075i | −0.993927 | − | 0.110037i | \(-0.964903\pi\) | ||
0.993927 | − | 0.110037i | \(-0.0350971\pi\) | |||||||
\(314\) | 3.40629e13 | − | 1.11272e12i | 0.629750 | − | 0.0205718i | ||||
\(315\) | −6.94688e13 | + | 6.94688e13i | −1.26207 | + | 1.26207i | ||||
\(316\) | 5.46405e11 | + | 8.35442e12i | 0.00975519 | + | 0.149155i | ||||
\(317\) | 5.42552e13 | + | 5.42552e13i | 0.951952 | + | 0.951952i | 0.998897 | − | 0.0469451i | \(-0.0149486\pi\) |
−0.0469451 | + | 0.998897i | \(0.514949\pi\) | |||||||
\(318\) | 9.15876e13 | − | 9.77734e13i | 1.57938 | − | 1.68605i | ||||
\(319\) | −7.99701e12 | −0.135543 | ||||||||
\(320\) | −6.92620e13 | − | 4.63214e13i | −1.15391 | − | 0.771715i | ||||
\(321\) | 9.14122e13 | 1.49702 | ||||||||
\(322\) | 1.83366e13 | − | 1.95751e13i | 0.295197 | − | 0.315134i | ||||
\(323\) | −9.71601e12 | − | 9.71601e12i | −0.153771 | − | 0.153771i | ||||
\(324\) | 1.83340e13 | + | 2.80323e14i | 0.285272 | + | 4.36175i | ||||
\(325\) | −3.05345e13 | + | 3.05345e13i | −0.467123 | + | 0.467123i | ||||
\(326\) | 1.58348e11 | − | 5.17270e9i | 0.00238186 | − | 7.78073e-5i | ||||
\(327\) | 4.09976e12i | 0.0606381i | ||||||||
\(328\) | −7.09742e13 | + | 8.64454e13i | −1.03227 | + | 1.25729i | ||||
\(329\) | − | 3.04027e13i | − | 0.434845i | ||||||
\(330\) | 1.61964e12 | + | 4.95808e13i | 0.0227820 | + | 0.697408i | ||||
\(331\) | 9.47342e13 | − | 9.47342e13i | 1.31055 | − | 1.31055i | 0.389537 | − | 0.921011i | \(-0.372635\pi\) |
0.921011 | − | 0.389537i | \(-0.127365\pi\) | |||||||
\(332\) | 5.79250e13 | − | 6.60322e13i | 0.788146 | − | 0.898455i | ||||
\(333\) | −2.22745e14 | − | 2.22745e14i | −2.98101 | − | 2.98101i | ||||
\(334\) | −6.56685e13 | − | 6.15139e13i | −0.864474 | − | 0.809781i | ||||
\(335\) | −1.00437e14 | −1.30060 | ||||||||
\(336\) | −4.21223e13 | + | 5.48631e13i | −0.536595 | + | 0.698899i | ||||
\(337\) | −2.48393e13 | −0.311298 | −0.155649 | − | 0.987812i | \(-0.549747\pi\) | ||||
−0.155649 | + | 0.987812i | \(0.549747\pi\) | |||||||
\(338\) | 2.91336e13 | + | 2.72904e13i | 0.359213 | + | 0.336487i | ||||
\(339\) | 1.83840e14 | + | 1.83840e14i | 2.23019 | + | 2.23019i | ||||
\(340\) | 5.53852e13 | + | 4.85852e13i | 0.661089 | + | 0.579923i | ||||
\(341\) | −5.86628e12 | + | 5.86628e12i | −0.0688992 | + | 0.0688992i | ||||
\(342\) | 2.78406e12 | + | 8.52264e13i | 0.0321762 | + | 0.984987i | ||||
\(343\) | − | 7.08579e13i | − | 0.805880i | ||||||
\(344\) | −1.89873e13 | + | 1.86606e12i | −0.212516 | + | 0.0208860i | ||||
\(345\) | 2.39057e14i | 2.63328i | ||||||||
\(346\) | −1.61215e13 | + | 5.26637e11i | −0.174778 | + | 0.00570943i | ||||
\(347\) | −4.05821e13 | + | 4.05821e13i | −0.433035 | + | 0.433035i | −0.889659 | − | 0.456625i | \(-0.849058\pi\) |
0.456625 | + | 0.889659i | \(0.349058\pi\) | |||||||
\(348\) | 9.91686e13 | − | 6.48593e12i | 1.04157 | − | 0.0681219i | ||||
\(349\) | −5.40864e13 | − | 5.40864e13i | −0.559175 | − | 0.559175i | 0.369897 | − | 0.929073i | \(-0.379393\pi\) |
−0.929073 | + | 0.369897i | \(0.879393\pi\) | |||||||
\(350\) | 2.78894e13 | − | 2.97730e13i | 0.283834 | − | 0.303004i | ||||
\(351\) | 2.61811e14 | 2.62300 | ||||||||
\(352\) | 4.21058e12 | + | 2.55587e13i | 0.0415296 | + | 0.252089i | ||||
\(353\) | 1.19115e14 | 1.15666 | 0.578328 | − | 0.815805i | \(-0.303706\pi\) | ||||
0.578328 | + | 0.815805i | \(0.303706\pi\) | |||||||
\(354\) | 1.64806e14 | − | 1.75936e14i | 1.57563 | − | 1.68205i | ||||
\(355\) | −9.01806e12 | − | 9.01806e12i | −0.0848901 | − | 0.0848901i | ||||
\(356\) | −1.16216e14 | + | 7.60091e12i | −1.07719 | + | 0.0704516i | ||||
\(357\) | 4.32458e13 | − | 4.32458e13i | 0.394701 | − | 0.394701i | ||||
\(358\) | 9.32657e13 | − | 3.04668e12i | 0.838234 | − | 0.0273823i | ||||
\(359\) | − | 1.67025e14i | − | 1.47830i | −0.673541 | − | 0.739150i | \(-0.735228\pi\) | ||
0.673541 | − | 0.739150i | \(-0.264772\pi\) | |||||||
\(360\) | −4.47199e13 | − | 4.55027e14i | −0.389796 | − | 3.96619i | ||||
\(361\) | − | 1.02763e14i | − | 0.882160i | ||||||
\(362\) | 2.83648e12 | + | 8.68312e13i | 0.0239819 | + | 0.734139i | ||||
\(363\) | −1.56157e14 | + | 1.56157e14i | −1.30039 | + | 1.30039i | ||||
\(364\) | 2.92492e13 | + | 2.56581e13i | 0.239914 | + | 0.210459i | ||||
\(365\) | 1.77997e13 | + | 1.77997e13i | 0.143814 | + | 0.143814i | ||||
\(366\) | −3.85432e12 | − | 3.61047e12i | −0.0306762 | − | 0.0287354i | ||||
\(367\) | −1.32967e14 | −1.04251 | −0.521255 | − | 0.853401i | \(-0.674536\pi\) | ||||
−0.521255 | + | 0.853401i | \(0.674536\pi\) | |||||||
\(368\) | 1.62586e13 | + | 1.23764e14i | 0.125580 | + | 0.955940i | ||||
\(369\) | −6.13741e14 | −4.67025 | ||||||||
\(370\) | 1.98441e14 | + | 1.85887e14i | 1.48773 | + | 1.39360i | ||||
\(371\) | 5.03421e13 | + | 5.03421e13i | 0.371856 | + | 0.371856i | ||||
\(372\) | 6.79883e13 | − | 7.75039e13i | 0.494821 | − | 0.564076i | ||||
\(373\) | −1.58936e14 | + | 1.58936e14i | −1.13979 | + | 1.13979i | −0.151297 | + | 0.988488i | \(0.548345\pi\) |
−0.988488 | + | 0.151297i | \(0.951655\pi\) | |||||||
\(374\) | −7.47787e11 | − | 2.28914e13i | −0.00528426 | − | 0.161763i | ||||
\(375\) | − | 2.86156e13i | − | 0.199265i | ||||||
\(376\) | 1.09356e14 | + | 8.97844e13i | 0.750427 | + | 0.616123i | ||||
\(377\) | − | 5.59030e13i | − | 0.378058i | ||||||
\(378\) | −2.47207e14 | + | 8.07542e12i | −1.64761 | + | 0.0538220i | ||||
\(379\) | 2.82445e12 | − | 2.82445e12i | 0.0185532 | − | 0.0185532i | −0.697769 | − | 0.716323i | \(-0.745824\pi\) |
0.716323 | + | 0.697769i | \(0.245824\pi\) | |||||||
\(380\) | −4.80368e12 | − | 7.34472e13i | −0.0311003 | − | 0.475516i | ||||
\(381\) | 3.63063e14 | + | 3.63063e14i | 2.31683 | + | 2.31683i | ||||
\(382\) | −8.05958e13 | + | 8.60392e13i | −0.506948 | + | 0.541188i | ||||
\(383\) | −5.92249e13 | −0.367207 | −0.183604 | − | 0.983000i | \(-0.558776\pi\) | ||||
−0.183604 | + | 0.983000i | \(0.558776\pi\) | |||||||
\(384\) | −7.29434e13 | − | 3.13531e14i | −0.445825 | − | 1.91628i | ||||
\(385\) | −2.63624e13 | −0.158836 | ||||||||
\(386\) | 7.86360e13 | − | 8.39471e13i | 0.467080 | − | 0.498627i | ||||
\(387\) | −7.40268e13 | − | 7.40268e13i | −0.433489 | − | 0.433489i | ||||
\(388\) | 7.66052e12 | + | 1.17128e14i | 0.0442266 | + | 0.676216i | ||||
\(389\) | 2.33475e13 | − | 2.33475e13i | 0.132898 | − | 0.132898i | −0.637529 | − | 0.770427i | \(-0.720043\pi\) |
0.770427 | + | 0.637529i | \(0.220043\pi\) | |||||||
\(390\) | −3.46595e14 | + | 1.13221e13i | −1.94521 | + | 0.0635435i | ||||
\(391\) | − | 1.10372e14i | − | 0.610785i | ||||||
\(392\) | 1.13230e14 | + | 9.29655e13i | 0.617859 | + | 0.507281i | ||||
\(393\) | 1.56031e12i | 0.00839560i | ||||||||
\(394\) | −5.96864e12 | − | 1.82714e14i | −0.0316699 | − | 0.969486i | ||||
\(395\) | 2.80400e13 | − | 2.80400e13i | 0.146722 | − | 0.146722i | ||||
\(396\) | −9.37323e13 | + | 1.06851e14i | −0.483689 | + | 0.551386i | ||||
\(397\) | 2.18990e13 | + | 2.18990e13i | 0.111449 | + | 0.111449i | 0.760632 | − | 0.649183i | \(-0.224889\pi\) |
−0.649183 | + | 0.760632i | \(0.724889\pi\) | |||||||
\(398\) | 1.21039e14 | + | 1.13381e14i | 0.607530 | + | 0.569094i | ||||
\(399\) | −6.10997e13 | −0.302474 | ||||||||
\(400\) | 2.47288e13 | + | 1.88241e14i | 0.120746 | + | 0.919144i | ||||
\(401\) | 7.84224e13 | 0.377699 | 0.188850 | − | 0.982006i | \(-0.439524\pi\) | ||||
0.188850 | + | 0.982006i | \(0.439524\pi\) | |||||||
\(402\) | −2.83179e14 | − | 2.65264e14i | −1.34530 | − | 1.26018i | ||||
\(403\) | −4.10082e13 | − | 4.10082e13i | −0.192173 | − | 0.192173i | ||||
\(404\) | −7.88277e13 | − | 6.91495e13i | −0.364403 | − | 0.319663i | ||||
\(405\) | 9.40851e14 | − | 9.40851e14i | 4.29060 | − | 4.29060i | ||||
\(406\) | 1.72430e12 | + | 5.27847e13i | 0.00775746 | + | 0.237473i | ||||
\(407\) | − | 8.45282e13i | − | 0.375174i | ||||||
\(408\) | 2.78391e13 | + | 2.83264e14i | 0.121906 | + | 1.24039i | ||||
\(409\) | 5.44125e13i | 0.235083i | 0.993068 | + | 0.117541i | \(0.0375013\pi\) | ||||
−0.993068 | + | 0.117541i | \(0.962499\pi\) | |||||||
\(410\) | 5.29481e14 | − | 1.72964e13i | 2.25704 | − | 0.0737299i | ||||
\(411\) | 1.64408e14 | − | 1.64408e14i | 0.691502 | − | 0.691502i | ||||
\(412\) | −1.86478e14 | + | 1.21963e13i | −0.773916 | + | 0.0506165i | ||||
\(413\) | 9.05871e13 | + | 9.05871e13i | 0.370972 | + | 0.370972i | ||||
\(414\) | −4.68266e14 | + | 4.99892e14i | −1.89230 | + | 2.02011i | ||||
\(415\) | −4.16039e14 | −1.65909 | ||||||||
\(416\) | −1.78668e14 | + | 2.94341e13i | −0.703126 | + | 0.115834i | ||||
\(417\) | 2.32018e14 | 0.901100 | ||||||||
\(418\) | −1.56428e13 | + | 1.66993e13i | −0.0599577 | + | 0.0640072i | ||||
\(419\) | 2.47223e14 | + | 2.47223e14i | 0.935214 | + | 0.935214i | 0.998025 | − | 0.0628113i | \(-0.0200066\pi\) |
−0.0628113 | + | 0.998025i | \(0.520007\pi\) | |||||||
\(420\) | 3.26912e14 | − | 2.13811e13i | 1.22056 | − | 0.0798285i | ||||
\(421\) | −3.01416e14 | + | 3.01416e14i | −1.11074 | + | 1.11074i | −0.117695 | + | 0.993050i | \(0.537551\pi\) |
−0.993050 | + | 0.117695i | \(0.962449\pi\) | |||||||
\(422\) | −1.19471e14 | + | 3.90272e12i | −0.434555 | + | 0.0141955i | ||||
\(423\) | 7.76399e14i | 2.78749i | ||||||||
\(424\) | −3.29745e14 | + | 3.24072e13i | −1.16860 | + | 0.114850i | ||||
\(425\) | − | 1.67873e14i | − | 0.587274i | ||||||
\(426\) | −1.60863e12 | − | 4.92439e13i | −0.00555526 | − | 0.170059i | ||||
\(427\) | 1.98453e12 | − | 1.98453e12i | 0.00676557 | − | 0.00676557i | ||||
\(428\) | −1.69955e14 | − | 1.49089e14i | −0.571997 | − | 0.501769i | ||||
\(429\) | 7.62292e13 | + | 7.62292e13i | 0.253283 | + | 0.253283i | ||||
\(430\) | 6.59499e13 | + | 6.17775e13i | 0.216340 | + | 0.202653i | ||||
\(431\) | −4.56713e14 | −1.47917 | −0.739586 | − | 0.673062i | \(-0.764979\pi\) | ||||
−0.739586 | + | 0.673062i | \(0.764979\pi\) | |||||||
\(432\) | 7.00998e14 | − | 9.13030e14i | 2.24159 | − | 2.91961i | ||||
\(433\) | 1.87325e14 | 0.591443 | 0.295721 | − | 0.955274i | \(-0.404440\pi\) | ||||
0.295721 | + | 0.955274i | \(0.404440\pi\) | |||||||
\(434\) | 3.99856e13 | + | 3.74559e13i | 0.124655 | + | 0.116769i | ||||
\(435\) | −3.32841e14 | − | 3.32841e14i | −1.02458 | − | 1.02458i | ||||
\(436\) | 6.68650e12 | − | 7.62235e12i | 0.0203247 | − | 0.0231693i | ||||
\(437\) | −7.79697e13 | + | 7.79697e13i | −0.234033 | + | 0.234033i | ||||
\(438\) | 3.17509e12 | + | 9.71967e13i | 0.00941128 | + | 0.288100i | ||||
\(439\) | − | 6.17945e14i | − | 1.80882i | −0.426667 | − | 0.904409i | \(-0.640312\pi\) | ||
0.426667 | − | 0.904409i | \(-0.359688\pi\) | |||||||
\(440\) | 7.78526e13 | − | 9.48231e13i | 0.225052 | − | 0.274110i | ||||
\(441\) | 8.03907e14i | 2.29506i | ||||||||
\(442\) | 1.60022e14 | − | 5.22740e12i | 0.451189 | − | 0.0147388i | ||||
\(443\) | 3.84254e14 | − | 3.84254e14i | 1.07004 | − | 1.07004i | 0.0726803 | − | 0.997355i | \(-0.476845\pi\) |
0.997355 | − | 0.0726803i | \(-0.0231553\pi\) | |||||||
\(444\) | 6.85562e13 | + | 1.04821e15i | 0.188556 | + | 2.88298i | ||||
\(445\) | 3.90058e14 | + | 3.90058e14i | 1.05962 | + | 1.05962i | ||||
\(446\) | 3.90972e14 | − | 4.17378e14i | 1.04907 | − | 1.11992i | ||||
\(447\) | 7.96476e14 | 2.11097 | ||||||||
\(448\) | 1.67794e14 | − | 3.33031e13i | 0.439285 | − | 0.0871878i | ||||
\(449\) | 3.39135e12 | 0.00877037 | 0.00438518 | − | 0.999990i | \(-0.498604\pi\) | ||||
0.00438518 | + | 0.999990i | \(0.498604\pi\) | |||||||
\(450\) | −7.12217e14 | + | 7.60320e14i | −1.81946 | + | 1.94235i | ||||
\(451\) | −1.16453e14 | − | 1.16453e14i | −0.293886 | − | 0.293886i | ||||
\(452\) | −4.19648e13 | − | 6.41633e14i | −0.104622 | − | 1.59965i | ||||
\(453\) | −7.28901e14 | + | 7.28901e14i | −1.79526 | + | 1.79526i | ||||
\(454\) | −4.08729e14 | + | 1.33518e13i | −0.994555 | + | 0.0324888i | ||||
\(455\) | − | 1.84286e14i | − | 0.443026i | ||||||
\(456\) | 1.80438e14 | − | 2.19770e14i | 0.428570 | − | 0.521990i | ||||
\(457\) | − | 6.33305e14i | − | 1.48619i | −0.669187 | − | 0.743094i | \(-0.733357\pi\) | ||
0.669187 | − | 0.743094i | \(-0.266643\pi\) | |||||||
\(458\) | 2.53830e12 | + | 7.77030e13i | 0.00588549 | + | 0.180168i | ||||
\(459\) | −7.19694e14 | + | 7.19694e14i | −1.64884 | + | 1.64884i | ||||
\(460\) | 3.89890e14 | − | 4.44459e14i | 0.882620 | − | 1.00615i | ||||
\(461\) | −4.96950e14 | − | 4.96950e14i | −1.11162 | − | 1.11162i | −0.992931 | − | 0.118692i | \(-0.962130\pi\) |
−0.118692 | − | 0.992931i | \(-0.537870\pi\) | |||||||
\(462\) | −7.43283e13 | − | 6.96258e13i | −0.164295 | − | 0.153900i | ||||
\(463\) | 6.46594e14 | 1.41233 | 0.706165 | − | 0.708047i | \(-0.250424\pi\) | ||||
0.706165 | + | 0.708047i | \(0.250424\pi\) | |||||||
\(464\) | −1.94954e14 | − | 1.49680e14i | −0.420808 | − | 0.323084i | ||||
\(465\) | −4.88317e14 | −1.04162 | ||||||||
\(466\) | 5.46206e14 | + | 5.11650e14i | 1.15142 | + | 1.07857i | ||||
\(467\) | 2.80275e14 | + | 2.80275e14i | 0.583904 | + | 0.583904i | 0.935974 | − | 0.352070i | \(-0.114522\pi\) |
−0.352070 | + | 0.935974i | \(0.614522\pi\) | |||||||
\(468\) | −7.46942e14 | − | 6.55236e14i | −1.53792 | − | 1.34910i | ||||
\(469\) | 1.45805e14 | − | 1.45805e14i | 0.296702 | − | 0.296702i | ||||
\(470\) | −2.18804e13 | − | 6.69808e14i | −0.0440065 | − | 1.34714i | ||||
\(471\) | − | 6.23619e14i | − | 1.23967i | ||||||
\(472\) | −5.93353e14 | + | 5.83146e13i | −1.16582 | + | 0.114577i | ||||
\(473\) | − | 2.80920e13i | − | 0.0545566i | ||||||
\(474\) | 1.53115e14 | − | 5.00176e12i | 0.293926 | − | 0.00960157i | ||||
\(475\) | −1.18589e14 | + | 1.18589e14i | −0.225025 | + | 0.225025i | ||||
\(476\) | −1.50935e14 | + | 9.87162e12i | −0.283108 | + | 0.0185161i | ||||
\(477\) | −1.28560e15 | − | 1.28560e15i | −2.38371 | − | 2.38371i | ||||
\(478\) | −2.89163e14 | + | 3.08693e14i | −0.530017 | + | 0.565814i | ||||
\(479\) | −7.99937e14 | −1.44947 | −0.724737 | − | 0.689025i | \(-0.758039\pi\) | ||||
−0.724737 | + | 0.689025i | \(0.758039\pi\) | |||||||
\(480\) | −8.88522e14 | + | 1.23902e15i | −1.59163 | + | 2.21947i | ||||
\(481\) | 5.90894e14 | 1.04643 | ||||||||
\(482\) | −3.45234e14 | + | 3.68551e14i | −0.604443 | + | 0.645267i | ||||
\(483\) | −3.47042e14 | − | 3.47042e14i | −0.600720 | − | 0.600720i | ||||
\(484\) | 5.45013e14 | − | 3.56456e13i | 0.932734 | − | 0.0610037i | ||||
\(485\) | 3.93118e14 | − | 3.93118e14i | 0.665186 | − | 0.665186i | ||||
\(486\) | 2.93864e15 | − | 9.59955e13i | 4.91639 | − | 0.160602i | ||||
\(487\) | 5.92515e14i | 0.980145i | 0.871682 | + | 0.490072i | \(0.163030\pi\) | ||||
−0.871682 | + | 0.490072i | \(0.836970\pi\) | |||||||
\(488\) | 1.27752e12 | + | 1.29988e13i | 0.00208958 | + | 0.0212616i | ||||
\(489\) | − | 2.89902e12i | − | 0.00468869i | ||||||
\(490\) | −2.26556e13 | − | 6.93539e14i | −0.0362324 | − | 1.10916i | ||||
\(491\) | −3.01153e14 | + | 3.01153e14i | −0.476254 | + | 0.476254i | −0.903932 | − | 0.427677i | \(-0.859332\pi\) |
0.427677 | + | 0.903932i | \(0.359332\pi\) | |||||||
\(492\) | 1.53854e15 | + | 1.34965e15i | 2.40603 | + | 2.11063i | ||||
\(493\) | 1.53672e14 | + | 1.53672e14i | 0.237650 | + | 0.237650i | ||||
\(494\) | −1.16736e14 | − | 1.09351e14i | −0.178529 | − | 0.167234i | ||||
\(495\) | 6.73221e14 | 1.01819 | ||||||||
\(496\) | −2.52810e14 | + | 3.32112e13i | −0.378133 | + | 0.0496747i | ||||
\(497\) | 2.61832e13 | 0.0387314 | ||||||||
\(498\) | −1.17302e15 | − | 1.09880e15i | −1.71610 | − | 1.60753i | ||||
\(499\) | 4.74558e14 | + | 4.74558e14i | 0.686651 | + | 0.686651i | 0.961490 | − | 0.274839i | \(-0.0886245\pi\) |
−0.274839 | + | 0.961490i | \(0.588625\pi\) | |||||||
\(500\) | −4.66705e13 | + | 5.32025e13i | −0.0667894 | + | 0.0761373i | ||||
\(501\) | −1.16422e15 | + | 1.16422e15i | −1.64789 | + | 1.64789i | ||||
\(502\) | −1.69946e13 | − | 5.20243e14i | −0.0237925 | − | 0.728343i | ||||
\(503\) | 8.88794e14i | 1.23077i | 0.788226 | + | 0.615385i | \(0.211000\pi\) | ||||
−0.788226 | + | 0.615385i | \(0.789000\pi\) | |||||||
\(504\) | 7.25488e14 | + | 5.95647e14i | 0.993715 | + | 0.815870i | ||||
\(505\) | 4.96658e14i | 0.672907i | ||||||||
\(506\) | −1.83701e14 | + | 6.00089e12i | −0.246197 | + | 0.00804244i | ||||
\(507\) | 5.16502e14 | − | 5.16502e14i | 0.684744 | − | 0.684744i | ||||
\(508\) | −8.28756e13 | − | 1.26715e15i | −0.108687 | − | 1.66180i | ||||
\(509\) | 6.54049e14 | + | 6.54049e14i | 0.848521 | + | 0.848521i | 0.989949 | − | 0.141428i | \(-0.0451694\pi\) |
−0.141428 | + | 0.989949i | \(0.545169\pi\) | |||||||
\(510\) | 9.21633e14 | − | 9.83880e14i | 1.18283 | − | 1.26272i | ||||
\(511\) | −5.16799e13 | −0.0656156 | ||||||||
\(512\) | −3.75735e14 | + | 7.01889e14i | −0.471951 | + | 0.881625i | ||||
\(513\) | 1.01682e15 | 1.26357 | ||||||||
\(514\) | −4.36120e14 | + | 4.65575e14i | −0.536177 | + | 0.572391i | ||||
\(515\) | 6.25880e14 | + | 6.25880e14i | 0.761292 | + | 0.761292i | ||||
\(516\) | 2.27839e13 | + | 3.48361e14i | 0.0274192 | + | 0.419234i | ||||
\(517\) | −1.47316e14 | + | 1.47316e14i | −0.175409 | + | 0.175409i | ||||
\(518\) | −5.57933e14 | + | 1.82258e13i | −0.657308 | + | 0.0214720i | ||||
\(519\) | 2.95151e14i | 0.344052i | ||||||||
\(520\) | 6.62861e14 | + | 5.44228e14i | 0.764546 | + | 0.627715i | ||||
\(521\) | − | 6.02759e14i | − | 0.687918i | −0.938985 | − | 0.343959i | \(-0.888232\pi\) | ||
0.938985 | − | 0.343959i | \(-0.111768\pi\) | |||||||
\(522\) | −4.40338e13 | − | 1.34797e15i | −0.0497277 | − | 1.52228i | ||||
\(523\) | −1.41456e14 | + | 1.41456e14i | −0.158075 | + | 0.158075i | −0.781713 | − | 0.623638i | \(-0.785654\pi\) |
0.623638 | + | 0.781713i | \(0.285654\pi\) | |||||||
\(524\) | 2.54479e12 | − | 2.90096e12i | 0.00281403 | − | 0.00320789i | ||||
\(525\) | −5.27839e14 | − | 5.27839e14i | −0.577597 | − | 0.577597i | ||||
\(526\) | −1.23598e15 | − | 1.15778e15i | −1.33841 | − | 1.25373i | ||||
\(527\) | 2.25456e14 | 0.241603 | ||||||||
\(528\) | 4.69942e14 | − | 6.17354e13i | 0.498377 | − | 0.0654708i | ||||
\(529\) | 6.70861e13 | 0.0704087 | ||||||||
\(530\) | 1.14533e15 | + | 1.07287e15i | 1.18963 | + | 1.11437i | ||||
\(531\) | −2.31334e15 | − | 2.31334e15i | −2.37804 | − | 2.37804i | ||||
\(532\) | 1.13598e14 | + | 9.96506e13i | 0.115573 | + | 0.101383i | ||||
\(533\) | 8.14062e14 | − | 8.14062e14i | 0.819705 | − | 0.819705i | ||||
\(534\) | 6.95783e13 | + | 2.12995e15i | 0.0693421 | + | 2.12272i | ||||
\(535\) | 1.07081e15i | 1.05625i | ||||||||
\(536\) | 9.38605e13 | + | 9.55034e14i | 0.0916382 | + | 0.932422i | ||||
\(537\) | − | 1.70750e15i | − | 1.65007i | ||||||
\(538\) | −4.03891e14 | + | 1.31938e13i | −0.386333 | + | 0.0126202i | ||||
\(539\) | −1.52535e14 | + | 1.52535e14i | −0.144422 | + | 0.144422i | ||||
\(540\) | −5.44045e15 | + | 3.55823e14i | −5.09882 | + | 0.333478i | ||||
\(541\) | 3.03750e14 | + | 3.03750e14i | 0.281794 | + | 0.281794i | 0.833824 | − | 0.552030i | \(-0.186147\pi\) |
−0.552030 | + | 0.833824i | \(0.686147\pi\) | |||||||
\(542\) | 1.02444e14 | − | 1.09363e14i | 0.0940781 | − | 0.100432i | ||||
\(543\) | 1.58970e15 | 1.44516 | ||||||||
\(544\) | 4.10230e14 | − | 5.72053e14i | 0.369176 | − | 0.514804i | ||||
\(545\) | −4.80250e13 | −0.0427845 | ||||||||
\(546\) | 4.86719e14 | − | 5.19592e14i | 0.429258 | − | 0.458250i | ||||
\(547\) | 3.85320e14 | + | 3.85320e14i | 0.336427 | + | 0.336427i | 0.855021 | − | 0.518594i | \(-0.173544\pi\) |
−0.518594 | + | 0.855021i | \(0.673544\pi\) | |||||||
\(548\) | −5.73812e14 | + | 3.75291e13i | −0.495994 | + | 0.0324395i | ||||
\(549\) | −5.06794e13 | + | 5.06794e13i | −0.0433694 | + | 0.0433694i | ||||
\(550\) | −2.79403e14 | + | 9.12715e12i | −0.236720 | + | 0.00773286i | ||||
\(551\) | − | 2.17116e14i | − | 0.182120i | ||||||
\(552\) | 2.27315e15 | − | 2.23405e14i | 1.88783 | − | 0.185536i | ||||
\(553\) | 8.14121e13i | 0.0669423i | ||||||||
\(554\) | 6.40860e13 | + | 1.96182e15i | 0.0521747 | + | 1.59718i | ||||
\(555\) | 3.51812e15 | − | 3.51812e15i | 2.83595 | − | 2.83595i | ||||
\(556\) | −4.31372e14 | − | 3.78410e14i | −0.344303 | − | 0.302030i | ||||
\(557\) | −7.16583e14 | − | 7.16583e14i | −0.566321 | − | 0.566321i | 0.364775 | − | 0.931096i | \(-0.381146\pi\) |
−0.931096 | + | 0.364775i | \(0.881146\pi\) | |||||||
\(558\) | −1.02112e15 | − | 9.56518e14i | −0.799078 | − | 0.748523i | ||||
\(559\) | 1.96377e14 | 0.152169 | ||||||||
\(560\) | −6.42672e14 | − | 4.93425e14i | −0.493123 | − | 0.378606i | ||||
\(561\) | −4.19094e14 | −0.318431 | ||||||||
\(562\) | −3.71547e14 | − | 3.48041e14i | −0.279553 | − | 0.261867i | ||||
\(563\) | 8.55321e14 | + | 8.55321e14i | 0.637284 | + | 0.637284i | 0.949885 | − | 0.312600i | \(-0.101200\pi\) |
−0.312600 | + | 0.949885i | \(0.601200\pi\) | |||||||
\(564\) | 1.70734e15 | − | 1.94630e15i | 1.25975 | − | 1.43607i | ||||
\(565\) | −2.15352e15 | + | 2.15352e15i | −1.57356 | + | 1.57356i | ||||
\(566\) | 7.25465e13 | + | 2.22081e15i | 0.0524960 | + | 1.60702i | ||||
\(567\) | 2.73169e15i | 1.95760i | ||||||||
\(568\) | −7.73236e13 | + | 9.41788e13i | −0.0548777 | + | 0.0668401i | ||||
\(569\) | − | 1.81588e15i | − | 1.27635i | −0.769891 | − | 0.638175i | \(-0.779689\pi\) | ||
0.769891 | − | 0.638175i | \(-0.220311\pi\) | |||||||
\(570\) | −1.34610e15 | + | 4.39726e13i | −0.937056 | + | 0.0306105i | ||||
\(571\) | 1.13410e15 | − | 1.13410e15i | 0.781901 | − | 0.781901i | −0.198251 | − | 0.980151i | \(-0.563526\pi\) |
0.980151 | + | 0.198251i | \(0.0635260\pi\) | |||||||
\(572\) | −1.74007e13 | − | 2.66053e14i | −0.0118820 | − | 0.181673i | ||||
\(573\) | 1.52537e15 | + | 1.52537e15i | 1.03163 | + | 1.03163i | ||||
\(574\) | −7.43543e14 | + | 7.93762e14i | −0.498071 | + | 0.531710i | ||||
\(575\) | −1.34716e15 | −0.893809 | ||||||||
\(576\) | −4.28498e15 | + | 8.50468e14i | −2.81595 | + | 0.558900i | ||||
\(577\) | −2.48933e15 | −1.62038 | −0.810188 | − | 0.586170i | \(-0.800635\pi\) | ||||
−0.810188 | + | 0.586170i | \(0.800635\pi\) | |||||||
\(578\) | 6.34792e14 | − | 6.77666e14i | 0.409288 | − | 0.436931i | ||||
\(579\) | −1.48828e15 | − | 1.48828e15i | −0.950499 | − | 0.950499i | ||||
\(580\) | 7.59768e13 | + | 1.16167e15i | 0.0480648 | + | 0.734901i | ||||
\(581\) | 6.03969e14 | − | 6.03969e14i | 0.378483 | − | 0.378483i | ||||
\(582\) | 2.14665e15 | − | 7.01240e13i | 1.33256 | − | 0.0435302i | ||||
\(583\) | − | 4.87864e14i | − | 0.300000i | ||||||
\(584\) | 1.52620e14 | − | 1.85888e14i | 0.0929694 | − | 0.113235i | ||||
\(585\) | 4.70615e15i | 2.83993i | ||||||||
\(586\) | −8.94964e13 | − | 2.73969e15i | −0.0535018 | − | 1.63781i | ||||
\(587\) | −1.17168e15 | + | 1.17168e15i | −0.693903 | + | 0.693903i | −0.963088 | − | 0.269185i | \(-0.913246\pi\) |
0.269185 | + | 0.963088i | \(0.413246\pi\) | |||||||
\(588\) | 1.76783e15 | − | 2.01526e15i | 1.03721 | − | 1.18238i | ||||
\(589\) | −1.59267e14 | − | 1.59267e14i | −0.0925747 | − | 0.0925747i | ||||
\(590\) | 2.06094e15 | + | 1.93055e15i | 1.18680 | + | 1.11172i | ||||
\(591\) | −3.34510e15 | −1.90844 | ||||||||
\(592\) | 1.58212e15 | − | 2.06066e15i | 0.894271 | − | 1.16476i | ||||
\(593\) | 2.16626e15 | 1.21314 | 0.606569 | − | 0.795031i | \(-0.292545\pi\) | ||||
0.606569 | + | 0.795031i | \(0.292545\pi\) | |||||||
\(594\) | 1.23697e15 | + | 1.15871e15i | 0.686330 | + | 0.642908i | ||||
\(595\) | 5.06585e14 | + | 5.06585e14i | 0.278490 | + | 0.278490i | ||||
\(596\) | −1.48082e15 | − | 1.29901e15i | −0.806582 | − | 0.707553i | ||||
\(597\) | 2.14587e15 | − | 2.14587e15i | 1.15809 | − | 1.15809i | ||||
\(598\) | −4.19492e13 | − | 1.28416e15i | −0.0224319 | − | 0.686692i | ||||
\(599\) | 2.29916e15i | 1.21821i | 0.793089 | + | 0.609105i | \(0.208471\pi\) | ||||
−0.793089 | + | 0.609105i | \(0.791529\pi\) | |||||||
\(600\) | 3.45739e15 | − | 3.39791e14i | 1.81517 | − | 0.178394i | ||||
\(601\) | 7.60944e14i | 0.395861i | 0.980216 | + | 0.197931i | \(0.0634221\pi\) | ||||
−0.980216 | + | 0.197931i | \(0.936578\pi\) | |||||||
\(602\) | −1.85423e14 | + | 6.05715e12i | −0.0955836 | + | 0.00312240i | ||||
\(603\) | −3.72345e15 | + | 3.72345e15i | −1.90195 | + | 1.90195i | ||||
\(604\) | 2.54399e15 | − | 1.66385e14i | 1.28769 | − | 0.0842189i | ||||
\(605\) | −1.82924e15 | − | 1.82924e15i | −0.917519 | − | 0.917519i | ||||
\(606\) | −1.31173e15 | + | 1.40032e15i | −0.651994 | + | 0.696030i | ||||
\(607\) | 1.83671e15 | 0.904694 | 0.452347 | − | 0.891842i | \(-0.350587\pi\) | ||||
0.452347 | + | 0.891842i | \(0.350587\pi\) | |||||||
\(608\) | −6.93908e14 | + | 1.14316e14i | −0.338713 | + | 0.0558002i | ||||
\(609\) | 9.66377e14 | 0.467467 | ||||||||
\(610\) | 4.22934e13 | − | 4.51499e13i | 0.0202749 | − | 0.0216442i | ||||
\(611\) | −1.02981e15 | − | 1.02981e15i | −0.489250 | − | 0.489250i | ||||
\(612\) | 3.85446e15 | − | 2.52093e14i | 1.81481 | − | 0.118694i | ||||
\(613\) | 8.30874e14 | − | 8.30874e14i | 0.387706 | − | 0.387706i | −0.486162 | − | 0.873868i | \(-0.661604\pi\) |
0.873868 | + | 0.486162i | \(0.161604\pi\) | |||||||
\(614\) | −3.20465e13 | + | 1.04685e12i | −0.0148202 | + | 0.000484127i | ||||
\(615\) | − | 9.69367e15i | − | 4.44299i | ||||||
\(616\) | 2.46363e13 | + | 2.50675e14i | 0.0111913 | + | 0.113872i | ||||
\(617\) | − | 2.95927e15i | − | 1.33234i | −0.745799 | − | 0.666171i | \(-0.767932\pi\) | ||
0.745799 | − | 0.666171i | \(-0.232068\pi\) | |||||||
\(618\) | 1.11644e14 | + | 3.41768e15i | 0.0498194 | + | 1.52509i | ||||
\(619\) | −1.00184e15 | + | 1.00184e15i | −0.443100 | + | 0.443100i | −0.893052 | − | 0.449953i | \(-0.851441\pi\) |
0.449953 | + | 0.893052i | \(0.351441\pi\) | |||||||
\(620\) | 9.07888e14 | + | 7.96421e14i | 0.397995 | + | 0.349131i | ||||
\(621\) | 5.77545e15 | + | 5.77545e15i | 2.50947 | + | 2.50947i | ||||
\(622\) | −2.21734e15 | − | 2.07705e15i | −0.954959 | − | 0.894542i | ||||
\(623\) | −1.13250e15 | −0.483454 | ||||||||
\(624\) | 4.31561e14 | + | 3.28513e15i | 0.182611 | + | 1.39007i | ||||
\(625\) | 2.54544e15 | 1.06764 | ||||||||
\(626\) | 3.86316e14 | + | 3.61875e14i | 0.160614 | + | 0.150453i | ||||
\(627\) | 2.96058e14 | + | 2.96058e14i | 0.122013 | + | 0.122013i | ||||
\(628\) | −1.01709e15 | + | 1.15944e15i | −0.415510 | + | 0.473665i | ||||
\(629\) | −1.62431e15 | + | 1.62431e15i | −0.657796 | + | 0.657796i | ||||
\(630\) | −1.45159e14 | − | 4.44363e15i | −0.0582733 | − | 1.78388i | ||||
\(631\) | − | 2.54047e15i | − | 1.01100i | −0.862825 | − | 0.505502i | \(-0.831307\pi\) | ||
0.862825 | − | 0.505502i | \(-0.168693\pi\) | |||||||
\(632\) | −2.92832e14 | − | 2.40424e14i | −0.115525 | − | 0.0948492i | ||||
\(633\) | 2.18727e15i | 0.855423i | ||||||||
\(634\) | −3.47048e15 | + | 1.13369e14i | −1.34555 | + | 0.0439545i | ||||
\(635\) | −4.25295e15 | + | 4.25295e15i | −1.63469 | + | 1.63469i | ||||
\(636\) | 3.95680e14 | + | 6.04986e15i | 0.150775 | + | 2.30532i | ||||
\(637\) | −1.06630e15 | − | 1.06630e15i | −0.402820 | − | 0.402820i | ||||
\(638\) | 2.47413e14 | − | 2.64123e14i | 0.0926634 | − | 0.0989218i | ||||
\(639\) | −6.68646e14 | −0.248280 | ||||||||
\(640\) | 3.67273e15 | − | 8.54466e14i | 1.35207 | − | 0.314561i | ||||
\(641\) | −2.18928e15 | −0.799064 | −0.399532 | − | 0.916719i | \(-0.630827\pi\) | ||||
−0.399532 | + | 0.916719i | \(0.630827\pi\) | |||||||
\(642\) | −2.82812e15 | + | 3.01914e15i | −1.02342 | + | 1.09255i | ||||
\(643\) | 1.65718e15 | + | 1.65718e15i | 0.594577 | + | 0.594577i | 0.938864 | − | 0.344287i | \(-0.111879\pi\) |
−0.344287 | + | 0.938864i | \(0.611879\pi\) | |||||||
\(644\) | 7.92184e13 | + | 1.21123e15i | 0.0281808 | + | 0.430879i | ||||
\(645\) | 1.16921e15 | − | 1.16921e15i | 0.412395 | − | 0.412395i | ||||
\(646\) | 6.21493e14 | − | 2.03021e13i | 0.217349 | − | 0.00710006i | ||||
\(647\) | 1.95252e15i | 0.677051i | 0.940957 | + | 0.338526i | \(0.109928\pi\) | ||||
−0.940957 | + | 0.338526i | \(0.890072\pi\) | |||||||
\(648\) | −9.82565e15 | − | 8.06715e15i | −3.37830 | − | 2.77369i | ||||
\(649\) | − | 8.77877e14i | − | 0.299287i | ||||||
\(650\) | −6.38033e13 | − | 1.95316e15i | −0.0215685 | − | 0.660260i | ||||
\(651\) | 7.08895e14 | − | 7.08895e14i | 0.237622 | − | 0.237622i | ||||
\(652\) | −4.72815e12 | + | 5.38990e12i | −0.00157155 | + | 0.00179151i | ||||
\(653\) | −1.59179e15 | − | 1.59179e15i | −0.524642 | − | 0.524642i | 0.394328 | − | 0.918970i | \(-0.370978\pi\) |
−0.918970 | + | 0.394328i | \(0.870978\pi\) | |||||||
\(654\) | −1.35406e14 | − | 1.26839e14i | −0.0442547 | − | 0.0414549i | ||||
\(655\) | −1.82776e13 | −0.00592369 | ||||||||
\(656\) | −6.59281e14 | − | 5.01858e15i | −0.211885 | − | 1.61291i | ||||
\(657\) | 1.31976e15 | 0.420616 | ||||||||
\(658\) | 1.00413e15 | + | 9.40603e14i | 0.317357 | + | 0.297279i | ||||
\(659\) | −1.25231e15 | − | 1.25231e15i | −0.392502 | − | 0.392502i | 0.483077 | − | 0.875578i | \(-0.339519\pi\) |
−0.875578 | + | 0.483077i | \(0.839519\pi\) | |||||||
\(660\) | −1.68765e15 | − | 1.48045e15i | −0.524555 | − | 0.460152i | ||||
\(661\) | −1.31167e15 | + | 1.31167e15i | −0.404311 | + | 0.404311i | −0.879749 | − | 0.475438i | \(-0.842290\pi\) |
0.475438 | + | 0.879749i | \(0.342290\pi\) | |||||||
\(662\) | 1.97952e14 | + | 6.05976e15i | 0.0605119 | + | 1.85241i | ||||
\(663\) | − | 2.92967e15i | − | 0.888168i | ||||||
\(664\) | 3.88799e14 | + | 3.95605e15i | 0.116896 | + | 1.18943i | ||||
\(665\) | − | 7.15728e14i | − | 0.213417i | ||||||
\(666\) | 1.42481e16 | − | 4.65436e14i | 4.21354 | − | 0.137642i | ||||
\(667\) | 1.23320e15 | − | 1.23320e15i | 0.361694 | − | 0.361694i | ||||
\(668\) | 4.06333e15 | − | 2.65754e14i | 1.18198 | − | 0.0773054i | ||||
\(669\) | −7.39959e15 | − | 7.39959e15i | −2.13483 | − | 2.13483i | ||||
\(670\) | 3.10732e15 | − | 3.31719e15i | 0.889150 | − | 0.949202i | ||||
\(671\) | −1.92320e13 | −0.00545823 | ||||||||
\(672\) | −5.08816e14 | − | 3.08857e15i | −0.143229 | − | 0.869414i | ||||
\(673\) | −4.42717e15 | −1.23607 | −0.618035 | − | 0.786151i | \(-0.712071\pi\) | ||||
−0.618035 | + | 0.786151i | \(0.712071\pi\) | |||||||
\(674\) | 7.68484e14 | − | 8.20387e14i | 0.212816 | − | 0.227190i | ||||
\(675\) | 8.78426e15 | + | 8.78426e15i | 2.41287 | + | 2.41287i | ||||
\(676\) | −1.80268e15 | + | 1.17901e14i | −0.491147 | + | 0.0321226i | ||||
\(677\) | 4.02631e15 | − | 4.02631e15i | 1.08810 | − | 1.08810i | 0.0923785 | − | 0.995724i | \(-0.470553\pi\) |
0.995724 | − | 0.0923785i | \(-0.0294470\pi\) | |||||||
\(678\) | −1.17595e16 | + | 3.84143e14i | −3.15228 | + | 0.102975i | ||||
\(679\) | 1.14139e15i | 0.303493i | ||||||||
\(680\) | −3.31818e15 | + | 3.26109e14i | −0.875186 | + | 0.0860131i | ||||
\(681\) | 7.48297e15i | 1.95779i | ||||||||
\(682\) | −1.22579e13 | − | 3.75242e14i | −0.00318128 | − | 0.0973862i | ||||
\(683\) | 1.78162e15 | − | 1.78162e15i | 0.458671 | − | 0.458671i | −0.439548 | − | 0.898219i | \(-0.644861\pi\) |
0.898219 | + | 0.439548i | \(0.144861\pi\) | |||||||
\(684\) | −2.90097e15 | − | 2.54480e15i | −0.740856 | − | 0.649897i | ||||
\(685\) | 1.92589e15 | + | 1.92589e15i | 0.487903 | + | 0.487903i | ||||
\(686\) | 2.34027e15 | + | 2.19221e15i | 0.588145 | + | 0.550935i | ||||
\(687\) | 1.42258e15 | 0.354662 | ||||||||
\(688\) | 5.25799e14 | − | 6.84839e14i | 0.130042 | − | 0.169376i | ||||
\(689\) | 3.41041e15 | 0.836760 | ||||||||
\(690\) | −7.89550e15 | − | 7.39598e15i | −1.92181 | − | 1.80022i | ||||
\(691\) | −2.83219e15 | − | 2.83219e15i | −0.683902 | − | 0.683902i | 0.276975 | − | 0.960877i | \(-0.410668\pi\) |
−0.960877 | + | 0.276975i | \(0.910668\pi\) | |||||||
\(692\) | 4.81377e14 | − | 5.48751e14i | 0.115319 | − | 0.131459i | ||||
\(693\) | −9.77322e14 | + | 9.77322e14i | −0.232276 | + | 0.232276i | ||||
\(694\) | −8.47985e13 | − | 2.59587e15i | −0.0199945 | − | 0.612077i | ||||
\(695\) | 2.71788e15i | 0.635790i | ||||||||
\(696\) | −2.85388e15 | + | 3.47597e15i | −0.662345 | + | 0.806725i | ||||
\(697\) | 4.47556e15i | 1.03055i | ||||||||
\(698\) | 3.45968e15 | − | 1.13016e14i | 0.790372 | − | 0.0258188i | ||||
\(699\) | 9.68356e15 | − | 9.68356e15i | 2.19488 | − | 2.19488i | ||||
\(700\) | 1.20489e14 | + | 1.84225e15i | 0.0270961 | + | 0.414294i | ||||
\(701\) | 2.66761e15 | + | 2.66761e15i | 0.595214 | + | 0.595214i | 0.939035 | − | 0.343821i | \(-0.111721\pi\) |
−0.343821 | + | 0.939035i | \(0.611721\pi\) | |||||||
\(702\) | −8.09995e15 | + | 8.64702e15i | −1.79320 | + | 1.91431i | ||||
\(703\) | 2.29491e15 | 0.504093 | ||||||||
\(704\) | −9.74412e14 | − | 6.51673e14i | −0.212370 | − | 0.142030i | ||||
\(705\) | −1.22628e16 | −2.65185 | ||||||||
\(706\) | −3.68519e15 | + | 3.93408e15i | −0.790740 | + | 0.844146i | ||||
\(707\) | −7.21004e14 | − | 7.21004e14i | −0.153508 | − | 0.153508i | ||||
\(708\) | 7.11998e14 | + | 1.08863e16i | 0.150417 | + | 2.29984i | ||||
\(709\) | 2.91989e15 | − | 2.91989e15i | 0.612085 | − | 0.612085i | −0.331404 | − | 0.943489i | \(-0.607522\pi\) |
0.943489 | + | 0.331404i | \(0.107522\pi\) | |||||||
\(710\) | 5.76848e14 | − | 1.88437e13i | 0.119989 | − | 0.00391963i | ||||
\(711\) | − | 2.07904e15i | − | 0.429120i | ||||||
\(712\) | 3.34448e15 | − | 4.07352e15i | 0.684997 | − | 0.834314i | ||||
\(713\) | − | 1.80925e15i | − | 0.367711i | ||||||
\(714\) | 9.03643e13 | + | 2.76625e15i | 0.0182245 | + | 0.557894i | ||||
\(715\) | −8.92956e14 | + | 8.92956e14i | −0.178709 | + | 0.178709i | ||||
\(716\) | −2.78484e15 | + | 3.17461e15i | −0.553069 | + | 0.630477i | ||||
\(717\) | 5.47275e15 | + | 5.47275e15i | 1.07857 | + | 1.07857i | ||||
\(718\) | 5.51646e15 | + | 5.16745e15i | 1.07889 | + | 1.01063i | ||||
\(719\) | 7.46765e15 | 1.44935 | 0.724677 | − | 0.689088i | \(-0.241989\pi\) | ||||
0.724677 | + | 0.689088i | \(0.241989\pi\) | |||||||
\(720\) | 1.64120e16 | + | 1.26007e16i | 3.16107 | + | 2.42698i | ||||
\(721\) | −1.81719e15 | −0.347342 | ||||||||
\(722\) | 3.39403e15 | + | 3.17930e15i | 0.643815 | + | 0.603083i | ||||
\(723\) | 6.53396e15 | + | 6.53396e15i | 1.23003 | + | 1.23003i | ||||
\(724\) | −2.95559e15 | − | 2.59271e15i | −0.552182 | − | 0.484387i | ||||
\(725\) | 1.87566e15 | − | 1.87566e15i | 0.347772 | − | 0.347772i | ||||
\(726\) | −3.26298e14 | − | 9.98871e15i | −0.0600430 | − | 1.83805i | ||||
\(727\) | 8.34141e13i | 0.0152335i | 0.999971 | + | 0.00761676i | \(0.00242451\pi\) | ||||
−0.999971 | + | 0.00761676i | \(0.997575\pi\) | |||||||
\(728\) | −1.75234e15 | + | 1.72220e14i | −0.317612 | + | 0.0312148i | ||||
\(729\) | − | 2.95012e16i | − | 5.30687i | ||||||
\(730\) | −1.13857e15 | + | 3.71933e13i | −0.203275 | + | 0.00664032i | ||||
\(731\) | −5.39823e14 | + | 5.39823e14i | −0.0956546 | + | 0.0956546i | ||||
\(732\) | 2.38491e14 | − | 1.55981e13i | 0.0419432 | − | 0.00274321i | ||||
\(733\) | 7.73562e15 | + | 7.73562e15i | 1.35028 | + | 1.35028i | 0.885346 | + | 0.464933i | \(0.153921\pi\) |
0.464933 | + | 0.885346i | \(0.346079\pi\) | |||||||
\(734\) | 4.11375e15 | − | 4.39159e15i | 0.712705 | − | 0.760841i | ||||
\(735\) | −1.26972e16 | −2.18338 | ||||||||
\(736\) | −4.59065e15 | − | 3.29204e15i | −0.783512 | − | 0.561872i | ||||
\(737\) | −1.41299e15 | −0.239369 | ||||||||
\(738\) | 1.89880e16 | − | 2.02705e16i | 3.19278 | − | 3.40842i | ||||
\(739\) | −2.34299e15 | − | 2.34299e15i | −0.391044 | − | 0.391044i | 0.484015 | − | 0.875060i | \(-0.339178\pi\) |
−0.875060 | + | 0.484015i | \(0.839178\pi\) | |||||||
\(740\) | −1.22788e16 | + | 8.03074e14i | −2.03415 | + | 0.133040i | ||||
\(741\) | −2.06959e15 | + | 2.06959e15i | −0.340318 | + | 0.340318i | ||||
\(742\) | −3.22018e15 | + | 1.05192e14i | −0.525603 | + | 0.0171697i | ||||
\(743\) | 7.38859e15i | 1.19708i | 0.801093 | + | 0.598540i | \(0.204252\pi\) | ||||
−0.801093 | + | 0.598540i | \(0.795748\pi\) | |||||||
\(744\) | 4.56345e14 | + | 4.64333e15i | 0.0733909 | + | 0.746755i | ||||
\(745\) | 9.32999e15i | 1.48944i | ||||||||
\(746\) | −3.32104e14 | − | 1.01665e16i | −0.0526273 | − | 1.61104i | ||||
\(747\) | −1.54237e16 | + | 1.54237e16i | −2.42619 | + | 2.42619i | ||||
\(748\) | 7.79187e14 | + | 6.83521e14i | 0.121670 | + | 0.106732i | ||||
\(749\) | −1.55451e15 | − | 1.55451e15i | −0.240959 | − | 0.240959i | ||||
\(750\) | 9.45106e14 | + | 8.85313e14i | 0.145427 | + | 0.136226i | ||||
\(751\) | 2.74146e14 | 0.0418758 | 0.0209379 | − | 0.999781i | \(-0.493335\pi\) | ||||
0.0209379 | + | 0.999781i | \(0.493335\pi\) | |||||||
\(752\) | −6.34864e15 | + | 8.34009e14i | −0.962682 | + | 0.126466i | ||||
\(753\) | −9.52455e15 | −1.43375 | ||||||||
\(754\) | 1.84635e15 | + | 1.72954e15i | 0.275913 | + | 0.258457i | ||||
\(755\) | −8.53841e15 | − | 8.53841e15i | −1.26669 | − | 1.26669i | ||||
\(756\) | 7.38141e15 | − | 8.41451e15i | 1.08710 | − | 1.23925i | ||||
\(757\) | 1.20145e15 | − | 1.20145e15i | 0.175662 | − | 0.175662i | −0.613800 | − | 0.789462i | \(-0.710360\pi\) |
0.789462 | + | 0.613800i | \(0.210360\pi\) | |||||||
\(758\) | 5.90184e12 | + | 1.80669e14i | 0.000856656 | + | 0.0262242i | ||||
\(759\) | 3.36317e15i | 0.484640i | ||||||||
\(760\) | 2.57441e15 | + | 2.11367e15i | 0.368301 | + | 0.302386i | ||||
\(761\) | 5.15297e15i | 0.731883i | 0.930638 | + | 0.365942i | \(0.119253\pi\) | ||||
−0.930638 | + | 0.365942i | \(0.880747\pi\) | |||||||
\(762\) | −2.32236e16 | + | 7.58639e14i | −3.27475 | + | 0.106975i | ||||
\(763\) | 6.97184e13 | − | 6.97184e13i | 0.00976028 | − | 0.00976028i | ||||
\(764\) | −3.48192e14 | − | 5.32379e15i | −0.0483956 | − | 0.739959i | ||||
\(765\) | −1.29368e16 | − | 1.29368e16i | −1.78520 | − | 1.78520i | ||||
\(766\) | 1.83231e15 | − | 1.95606e15i | 0.251039 | − | 0.267994i | ||||
\(767\) | 6.13680e15 | 0.834771 | ||||||||
\(768\) | 1.26119e16 | + | 7.29091e15i | 1.70332 | + | 0.984680i | ||||
\(769\) | −8.26093e14 | −0.110773 | −0.0553866 | − | 0.998465i | \(-0.517639\pi\) | ||||
−0.0553866 | + | 0.998465i | \(0.517639\pi\) | |||||||
\(770\) | 8.15603e14 | − | 8.70688e14i | 0.108587 | − | 0.115921i | ||||
\(771\) | 8.25407e15 | + | 8.25407e15i | 1.09111 | + | 1.09111i | ||||
\(772\) | 3.39726e14 | + | 5.19434e15i | 0.0445896 | + | 0.681766i | ||||
\(773\) | 5.16962e15 | − | 5.16962e15i | 0.673707 | − | 0.673707i | −0.284861 | − | 0.958569i | \(-0.591948\pi\) |
0.958569 | + | 0.284861i | \(0.0919476\pi\) | |||||||
\(774\) | 4.73519e15 | − | 1.54683e14i | 0.612720 | − | 0.0200155i | ||||
\(775\) | − | 2.75181e15i | − | 0.353557i | ||||||
\(776\) | −4.10547e15 | − | 3.37071e15i | −0.523749 | − | 0.430013i | ||||
\(777\) | 1.02146e16i | 1.29391i | ||||||||
\(778\) | 4.87859e13 | + | 1.49345e15i | 0.00613630 | + | 0.187846i | ||||
\(779\) | 3.16164e15 | − | 3.16164e15i | 0.394873 | − | 0.394873i | ||||
\(780\) | 1.03491e16 | − | 1.17975e16i | 1.28345 | − | 1.46309i | ||||
\(781\) | −1.26871e14 | − | 1.26871e14i | −0.0156236 | − | 0.0156236i | ||||
\(782\) | 3.64535e15 | + | 3.41472e15i | 0.445761 | + | 0.417559i | ||||
\(783\) | −1.60824e16 | −1.95281 | ||||||||
\(784\) | −6.57358e15 | + | 8.63558e14i | −0.792617 | + | 0.104125i | ||||
\(785\) | 7.30513e15 | 0.874672 | ||||||||
\(786\) | −5.15335e13 | − | 4.82731e13i | −0.00612725 | − | 0.00573960i | ||||
\(787\) | −5.98784e15 | − | 5.98784e15i | −0.706983 | − | 0.706983i | 0.258917 | − | 0.965900i | \(-0.416635\pi\) |
−0.965900 | + | 0.258917i | \(0.916635\pi\) | |||||||
\(788\) | 6.21927e15 | + | 5.45569e15i | 0.729198 | + | 0.639670i | ||||
\(789\) | −2.19123e16 | + | 2.19123e16i | −2.55132 | + | 2.55132i | ||||
\(790\) | 5.85911e13 | + | 1.79361e15i | 0.00677458 | + | 0.207385i | ||||
\(791\) | − | 6.25258e15i | − | 0.717940i | ||||||
\(792\) | −6.29142e14 | − | 6.40154e15i | −0.0717398 | − | 0.729955i | ||||
\(793\) | − | 1.34442e14i | − | 0.0152241i | ||||||
\(794\) | −1.40079e15 | + | 4.57592e13i | −0.157529 | + | 0.00514595i | ||||
\(795\) | 2.03052e16 | − | 2.03052e16i | 2.26772 | − | 2.26772i | ||||
\(796\) | −7.48944e15 | + | 4.89832e14i | −0.830668 | + | 0.0543282i | ||||
\(797\) | −1.83817e15 | − | 1.83817e15i | −0.202472 | − | 0.202472i | 0.598586 | − | 0.801058i | \(-0.295729\pi\) |
−0.801058 | + | 0.598586i | \(0.795729\pi\) | |||||||
\(798\) | 1.89031e15 | − | 2.01798e15i | 0.206784 | − | 0.220750i | ||||
\(799\) | 5.66171e15 | 0.615092 | ||||||||
\(800\) | −6.98222e15 | − | 5.00708e15i | −0.753353 | − | 0.540244i | ||||
\(801\) | 2.89210e16 | 3.09909 | ||||||||
\(802\) | −2.42625e15 | + | 2.59011e15i | −0.258212 | + | 0.275651i | ||||
\(803\) | 2.50415e14 | + | 2.50415e14i | 0.0264682 | + | 0.0264682i | ||||
\(804\) | 1.75221e16 | − | 1.14600e15i | 1.83941 | − | 0.120303i | ||||
\(805\) | 4.06528e15 | − | 4.06528e15i | 0.423851 | − | 0.423851i | ||||
\(806\) | 2.62313e15 | − | 8.56888e13i | 0.271629 | − | 0.00887322i | ||||
\(807\) | 7.39439e15i | 0.760498i | ||||||||
\(808\) | 4.72264e15 | − | 4.64139e14i | 0.482416 | − | 0.0474117i | ||||
\(809\) | − | 7.03952e14i | − | 0.0714211i | −0.999362 | − | 0.0357105i | \(-0.988631\pi\) | ||
0.999362 | − | 0.0357105i | \(-0.0113694\pi\) | |||||||
\(810\) | 1.96596e15 | + | 6.01824e16i | 0.198110 | + | 6.06459i | ||||
\(811\) | −7.23162e15 | + | 7.23162e15i | −0.723804 | + | 0.723804i | −0.969378 | − | 0.245574i | \(-0.921023\pi\) |
0.245574 | + | 0.969378i | \(0.421023\pi\) | |||||||
\(812\) | −1.79671e15 | − | 1.57611e15i | −0.178615 | − | 0.156686i | ||||
\(813\) | −1.93886e15 | − | 1.93886e15i | −0.191447 | − | 0.191447i | ||||
\(814\) | 2.79177e15 | + | 2.61515e15i | 0.273808 | + | 0.256485i | ||||
\(815\) | 3.39593e13 | 0.00330821 | ||||||||
\(816\) | −1.02168e16 | − | 7.84419e15i | −0.988600 | − | 0.759019i | ||||
\(817\) | 7.62688e14 | 0.0733036 | ||||||||
\(818\) | −1.79712e15 | − | 1.68342e15i | −0.171567 | − | 0.160713i | ||||
\(819\) | −6.83196e15 | − | 6.83196e15i | −0.647864 | − | 0.647864i | ||||
\(820\) | −1.58099e16 | + | 1.80227e16i | −1.48920 | + | 1.69763i | ||||
\(821\) | 3.15400e15 | − | 3.15400e15i | 0.295103 | − | 0.295103i | −0.543989 | − | 0.839092i | \(-0.683087\pi\) |
0.839092 | + | 0.543989i | \(0.183087\pi\) | |||||||
\(822\) | 3.43539e14 | + | 1.05165e16i | 0.0319287 | + | 0.977409i | ||||
\(823\) | − | 7.95562e15i | − | 0.734471i | −0.930128 | − | 0.367236i | \(-0.880304\pi\) | ||
0.930128 | − | 0.367236i | \(-0.119696\pi\) | |||||||
\(824\) | 5.36649e15 | − | 6.53629e15i | 0.492142 | − | 0.599420i | ||||
\(825\) | 5.11527e15i | 0.465985i | ||||||||
\(826\) | −5.79448e15 | + | 1.89286e14i | −0.524354 | + | 0.0171289i | ||||
\(827\) | −7.06259e15 | + | 7.06259e15i | −0.634869 | + | 0.634869i | −0.949285 | − | 0.314417i | \(-0.898191\pi\) |
0.314417 | + | 0.949285i | \(0.398191\pi\) | |||||||
\(828\) | −2.02302e15 | − | 3.09315e16i | −0.180648 | − | 2.76207i | ||||
\(829\) | −7.83457e15 | − | 7.83457e15i | −0.694969 | − | 0.694969i | 0.268352 | − | 0.963321i | \(-0.413521\pi\) |
−0.963321 | + | 0.268352i | \(0.913521\pi\) | |||||||
\(830\) | 1.28715e16 | − | 1.37408e16i | 1.13423 | − | 1.21083i | ||||
\(831\) | 3.59168e16 | 3.14406 | ||||||||
\(832\) | 4.55551e15 | − | 6.81163e15i | 0.396150 | − | 0.592342i | ||||
\(833\) | 5.86231e15 | 0.506432 | ||||||||
\(834\) | −7.17821e15 | + | 7.66302e15i | −0.616031 | + | 0.657638i | ||||
\(835\) | −1.36378e16 | − | 1.36378e16i | −1.16270 | − | 1.16270i | ||||
\(836\) | −6.75805e13 | − | 1.03329e15i | −0.00572383 | − | 0.0875162i | ||||
\(837\) | −1.17974e16 | + | 1.17974e16i | −0.992650 | + | 0.992650i | ||||
\(838\) | −1.58138e16 | + | 5.16584e14i | −1.32189 | + | 0.0431816i | ||||
\(839\) | − | 5.19905e15i | − | 0.431751i | −0.976421 | − | 0.215876i | \(-0.930739\pi\) | ||
0.976421 | − | 0.215876i | \(-0.0692606\pi\) | |||||||
\(840\) | −9.40789e15 | + | 1.14586e16i | −0.776169 | + | 0.945360i | ||||
\(841\) | − | 8.76652e15i | − | 0.718538i | ||||||
\(842\) | −6.29824e14 | − | 1.92803e16i | −0.0512864 | − | 1.56999i | ||||
\(843\) | −6.58707e15 | + | 6.58707e15i | −0.532894 | + | 0.532894i | ||||
\(844\) | 3.56732e15 | − | 4.06660e15i | 0.286721 | − | 0.326850i | ||||
\(845\) | 6.05036e15 | + | 6.05036e15i | 0.483136 | + | 0.483136i | ||||
\(846\) | −2.56427e16 | − | 2.40204e16i | −2.03435 | − | 1.90565i | ||||
\(847\) | 5.31104e15 | 0.418621 | ||||||||
\(848\) | 9.13137e15 | − | 1.18933e16i | 0.715087 | − | 0.931380i | ||||
\(849\) | 4.06584e16 | 3.16343 | ||||||||
\(850\) | 5.54445e15 | + | 5.19368e15i | 0.428603 | + | 0.401486i | ||||
\(851\) | 1.30349e16 | + | 1.30349e16i | 1.00114 | + | 1.00114i | ||||
\(852\) | 1.67618e15 | + | 1.47039e15i | 0.127910 | + | 0.112205i | ||||
\(853\) | −6.77512e15 | + | 6.77512e15i | −0.513686 | + | 0.513686i | −0.915654 | − | 0.401968i | \(-0.868326\pi\) |
0.401968 | + | 0.915654i | \(0.368326\pi\) | |||||||
\(854\) | 4.14678e12 | + | 1.26942e14i | 0.000312387 | + | 0.00956286i | ||||
\(855\) | 1.82777e16i | 1.36807i | ||||||||
\(856\) | 1.01822e16 | − | 1.00070e15i | 0.757241 | − | 0.0744215i | ||||
\(857\) | 1.61172e16i | 1.19095i | 0.803372 | + | 0.595477i | \(0.203037\pi\) | ||||
−0.803372 | + | 0.595477i | \(0.796963\pi\) | |||||||
\(858\) | −4.87607e15 | + | 1.59285e14i | −0.358005 | + | 0.0116948i | ||||
\(859\) | −2.67447e15 | + | 2.67447e15i | −0.195108 | + | 0.195108i | −0.797899 | − | 0.602791i | \(-0.794055\pi\) |
0.602791 | + | 0.797899i | \(0.294055\pi\) | |||||||
\(860\) | −4.08074e15 | + | 2.66893e14i | −0.295799 | + | 0.0193462i | ||||
\(861\) | 1.40724e16 | + | 1.40724e16i | 1.01356 | + | 1.01356i | ||||
\(862\) | 1.41299e16 | − | 1.50842e16i | 1.01123 | − | 1.07952i | ||||
\(863\) | −1.60361e16 | −1.14036 | −0.570178 | − | 0.821521i | \(-0.693126\pi\) | ||||
−0.570178 | + | 0.821521i | \(0.693126\pi\) | |||||||
\(864\) | 8.46770e15 | + | 5.13998e16i | 0.598329 | + | 3.63192i | ||||
\(865\) | −3.45743e15 | −0.242753 | ||||||||
\(866\) | −5.79550e15 | + | 6.18692e15i | −0.404336 | + | 0.431645i | ||||
\(867\) | −1.20142e16 | − | 1.20142e16i | −0.832892 | − | 0.832892i | ||||
\(868\) | −2.47416e15 | + | 1.61818e14i | −0.170439 | + | 0.0111473i | ||||
\(869\) | 3.94481e14 | − | 3.94481e14i | 0.0270033 | − | 0.0270033i | ||||
\(870\) | 2.12904e16 | − | 6.95488e14i | 1.44820 | − | 0.0473079i | ||||
\(871\) | − | 9.87751e15i | − | 0.667648i | ||||||
\(872\) | 4.48806e13 | + | 4.56661e14i | 0.00301452 | + | 0.0306728i | ||||
\(873\) | − | 2.91478e16i | − | 1.94548i | ||||||
\(874\) | −1.62922e14 | − | 4.98740e15i | −0.0108060 | − | 0.330797i | ||||
\(875\) | −4.86621e14 | + | 4.86621e14i | −0.0320735 | + | 0.0320735i | ||||
\(876\) | −3.30842e15 | − | 2.90222e15i | −0.216694 | − | 0.190089i | ||||
\(877\) | −9.67974e15 | − | 9.67974e15i | −0.630037 | − | 0.630037i | 0.318041 | − | 0.948077i | \(-0.396975\pi\) |
−0.948077 | + | 0.318041i | \(0.896975\pi\) | |||||||
\(878\) | 2.04093e16 | + | 1.91181e16i | 1.32010 | + | 1.23659i | ||||
\(879\) | −5.01579e16 | −3.22404 | ||||||||
\(880\) | 7.23175e14 | + | 5.50495e15i | 0.0461943 | + | 0.351640i | ||||
\(881\) | −5.86163e15 | −0.372093 | −0.186046 | − | 0.982541i | \(-0.559567\pi\) | ||||
−0.186046 | + | 0.982541i | \(0.559567\pi\) | |||||||
\(882\) | −2.65512e16 | − | 2.48714e16i | −1.67497 | − | 1.56900i | ||||
\(883\) | −7.35372e15 | − | 7.35372e15i | −0.461024 | − | 0.461024i | 0.437967 | − | 0.898991i | \(-0.355699\pi\) |
−0.898991 | + | 0.437967i | \(0.855699\pi\) | |||||||
\(884\) | −4.77815e15 | + | 5.44690e15i | −0.297696 | + | 0.339361i | ||||
\(885\) | 3.65378e16 | − | 3.65378e16i | 2.26232 | − | 2.26232i | ||||
\(886\) | 8.02919e14 | + | 2.45792e16i | 0.0494068 | + | 1.51245i | ||||
\(887\) | 2.65254e16i | 1.62211i | 0.584967 | + | 0.811057i | \(0.301108\pi\) | ||||
−0.584967 | + | 0.811057i | \(0.698892\pi\) | |||||||
\(888\) | −3.67410e16 | − | 3.01654e16i | −2.23295 | − | 1.83332i | ||||
\(889\) | − | 1.23481e16i | − | 0.745832i | ||||||
\(890\) | −2.49504e16 | + | 8.15047e14i | −1.49773 | + | 0.0489258i | ||||
\(891\) | 1.32364e16 | − | 1.32364e16i | 0.789662 | − | 0.789662i | ||||
\(892\) | 1.68909e15 | + | 2.58258e16i | 0.100149 | + | 1.53125i | ||||
\(893\) | −3.99957e15 | − | 3.99957e15i | −0.235684 | − | 0.235684i | ||||
\(894\) | −2.46415e16 | + | 2.63058e16i | −1.44315 | + | 1.54062i | ||||
\(895\) | 2.00018e16 | 1.16424 | ||||||||
\(896\) | −4.09130e15 | + | 6.57218e15i | −0.236683 | + | 0.380203i | ||||
\(897\) | −2.35102e16 | −1.35176 | ||||||||
\(898\) | −1.04922e14 | + | 1.12009e14i | −0.00599580 | + | 0.00640076i | ||||
\(899\) | 2.51903e15 | + | 2.51903e15i | 0.143072 | + | 0.143072i | ||||
\(900\) | −3.07694e15 | − | 4.70458e16i | −0.173694 | − | 2.65575i | ||||
\(901\) | −9.37491e15 | + | 9.37491e15i | −0.525994 | + | 0.525994i | ||||
\(902\) | 7.44900e15 | − | 2.43334e14i | 0.415396 | − | 0.0135696i | ||||
\(903\) | 3.39471e15i | 0.188157i | ||||||||
\(904\) | 2.24900e16 | + | 1.84649e16i | 1.23898 | + | 1.01724i | ||||
\(905\) | 1.86218e16i | 1.01966i | ||||||||
\(906\) | −1.52308e15 | − | 4.66248e16i | −0.0828927 | − | 2.53753i | ||||
\(907\) | 1.45137e16 | − | 1.45137e16i | 0.785124 | − | 0.785124i | −0.195567 | − | 0.980690i | \(-0.562655\pi\) |
0.980690 | + | 0.195567i | \(0.0626547\pi\) | |||||||
\(908\) | 1.22044e16 | − | 1.39125e16i | 0.656210 | − | 0.748053i | ||||
\(909\) | 1.84124e16 | + | 1.84124e16i | 0.984032 | + | 0.984032i | ||||
\(910\) | 6.08654e15 | + | 5.70147e15i | 0.323328 | + | 0.302872i | ||||
\(911\) | −2.74199e16 | −1.44782 | −0.723910 | − | 0.689895i | \(-0.757657\pi\) | ||||
−0.723910 | + | 0.689895i | \(0.757657\pi\) | |||||||
\(912\) | 1.67609e15 | + | 1.27587e16i | 0.0879683 | + | 0.669632i | ||||
\(913\) | −5.85305e15 | −0.305346 | ||||||||
\(914\) | 2.09166e16 | + | 1.95933e16i | 1.08464 | + | 1.01602i | ||||
\(915\) | −8.00451e14 | − | 8.00451e14i | −0.0412590 | − | 0.0412590i | ||||
\(916\) | −2.64488e15 | − | 2.32015e15i | −0.135513 | − | 0.118875i | ||||
\(917\) | 2.65338e13 | − | 2.65338e13i | 0.00135135 | − | 0.00135135i | ||||
\(918\) | −1.50384e15 | − | 4.60359e16i | −0.0761318 | − | 2.33057i | ||||
\(919\) | − | 1.55320e16i | − | 0.781612i | −0.920473 | − | 0.390806i | \(-0.872196\pi\) | ||
0.920473 | − | 0.390806i | \(-0.127804\pi\) | |||||||
\(920\) | 2.61698e15 | + | 2.66279e16i | 0.130909 | + | 1.33200i | ||||
\(921\) | 5.86704e14i | 0.0291737i | ||||||||
\(922\) | 3.17878e16 | − | 1.03840e15i | 1.57123 | − | 0.0513270i | ||||
\(923\) | 8.86888e14 | − | 8.86888e14i | 0.0435772 | − | 0.0435772i | ||||
\(924\) | 4.59916e15 | − | 3.00799e14i | 0.224638 | − | 0.0146920i | ||||
\(925\) | 1.98256e16 | + | 1.98256e16i | 0.962604 | + | 0.962604i | ||||
\(926\) | −2.00044e16 | + | 2.13555e16i | −0.965530 | + | 1.03074i | ||||
\(927\) | 4.64060e16 | 2.22657 | ||||||||
\(928\) | 1.09751e16 | − | 1.80806e15i | 0.523474 | − | 0.0862381i | ||||
\(929\) | −1.93944e16 | −0.919579 | −0.459790 | − | 0.888028i | \(-0.652075\pi\) | ||||
−0.459790 | + | 0.888028i | \(0.652075\pi\) | |||||||
\(930\) | 1.51076e16 | − | 1.61280e16i | 0.712099 | − | 0.760194i | ||||
\(931\) | −4.14127e15 | − | 4.14127e15i | −0.194049 | − | 0.194049i | ||||
\(932\) | −3.37972e16 | + | 2.21044e15i | −1.57432 | + | 0.102966i | ||||
\(933\) | −3.93106e16 | + | 3.93106e16i | −1.82038 | + | 1.82038i | ||||
\(934\) | −1.79280e16 | + | 5.85649e14i | −0.825325 | + | 0.0269606i | ||||
\(935\) | − | 4.90931e15i | − | 0.224676i | ||||||
\(936\) | 4.47500e16 | − | 4.39801e15i | 2.03599 | − | 0.200096i | ||||
\(937\) | − | 2.03964e16i | − | 0.922543i | −0.887259 | − | 0.461272i | \(-0.847393\pi\) | ||
0.887259 | − | 0.461272i | \(-0.152607\pi\) | |||||||
\(938\) | 3.04667e14 | + | 9.32653e15i | 0.0136996 | + | 0.419377i | ||||
\(939\) | 6.84890e15 | − | 6.84890e15i | 0.306168 | − | 0.306168i | ||||
\(940\) | 2.27992e16 | + | 2.00000e16i | 1.01325 | + | 0.888845i | ||||
\(941\) | −2.84300e16 | − | 2.84300e16i | −1.25613 | − | 1.25613i | −0.952926 | − | 0.303204i | \(-0.901944\pi\) |
−0.303204 | − | 0.952926i | \(-0.598056\pi\) | |||||||
\(942\) | 2.05967e16 | + | 1.92936e16i | 0.904728 | + | 0.847489i | ||||
\(943\) | 3.59158e16 | 1.56845 | ||||||||
\(944\) | 1.64313e16 | − | 2.14012e16i | 0.713386 | − | 0.929165i | ||||
\(945\) | −5.30161e16 | −2.28840 | ||||||||
\(946\) | 9.27816e14 | + | 8.69116e14i | 0.0398163 | + | 0.0372972i | ||||
\(947\) | 1.73191e15 | + | 1.73191e15i | 0.0738925 | + | 0.0738925i | 0.743087 | − | 0.669195i | \(-0.233361\pi\) |
−0.669195 | + | 0.743087i | \(0.733361\pi\) | |||||||
\(948\) | −4.57191e15 | + | 5.21179e15i | −0.193933 | + | 0.221076i | ||||
\(949\) | −1.75052e15 | + | 1.75052e15i | −0.0738250 | + | 0.0738250i | ||||
\(950\) | −2.47799e14 | − | 7.58567e15i | −0.0103901 | − | 0.318064i | ||||
\(951\) | 6.35372e16i | 2.64871i | ||||||||
\(952\) | 4.34362e15 | − | 5.29045e15i | 0.180031 | − | 0.219275i | ||||
\(953\) | 2.78400e16i | 1.14725i | 0.819118 | + | 0.573625i | \(0.194463\pi\) | ||||
−0.819118 | + | 0.573625i | \(0.805537\pi\) | |||||||
\(954\) | 8.22343e16 | − | 2.68632e15i | 3.36928 | − | 0.110063i | ||||
\(955\) | −1.78683e16 | + | 1.78683e16i | −0.727888 | + | 0.727888i | ||||
\(956\) | −1.24925e15 | − | 1.91008e16i | −0.0505978 | − | 0.773630i | ||||
\(957\) | −4.68257e15 | − | 4.68257e15i | −0.188568 | − | 0.188568i | ||||
\(958\) | 2.47486e16 | − | 2.64201e16i | 0.990924 | − | 1.05785i | ||||
\(959\) | −5.59168e15 | −0.222607 | ||||||||
\(960\) | −1.34326e16 | − | 6.76787e16i | −0.531704 | − | 2.67892i | ||||
\(961\) | −2.17128e16 | −0.854548 | ||||||||
\(962\) | −1.82812e16 | + | 1.95159e16i | −0.715387 | + | 0.763704i | ||||
\(963\) | 3.96978e16 | + | 3.96978e16i | 1.54462 | + | 1.54462i | ||||
\(964\) | −1.49149e15 | − | 2.28046e16i | −0.0577029 | − | 0.882265i | ||||
\(965\) | 1.74338e16 | − | 1.74338e16i | 0.670645 | − | 0.670645i | ||||
\(966\) | 2.21988e16 | − | 7.25161e14i | 0.849094 | − | 0.0277371i | ||||
\(967\) | 1.07368e16i | 0.408348i | 0.978935 | + | 0.204174i | \(0.0654508\pi\) | ||||
−0.978935 | + | 0.204174i | \(0.934549\pi\) | |||||||
\(968\) | −1.56844e16 | + | 1.91034e16i | −0.593136 | + | 0.722429i | ||||
\(969\) | − | 1.13782e16i | − | 0.427852i | ||||||
\(970\) | 8.21439e14 | + | 2.51461e16i | 0.0307136 | + | 0.940213i | ||||
\(971\) | 2.12051e15 | − | 2.12051e15i | 0.0788377 | − | 0.0788377i | −0.666588 | − | 0.745426i | \(-0.732246\pi\) |
0.745426 | + | 0.666588i | \(0.232246\pi\) | |||||||
\(972\) | −8.77455e16 | + | 1.00026e17i | −3.24385 | + | 3.69786i | ||||
\(973\) | −3.94558e15 | − | 3.94558e15i | −0.145041 | − | 0.145041i | ||||
\(974\) | −1.95694e16 | − | 1.83313e16i | −0.715326 | − | 0.670069i | ||||
\(975\) | −3.57583e16 | −1.29973 | ||||||||
\(976\) | −4.68847e14 | − | 3.59967e14i | −0.0169456 | − | 0.0130103i | ||||
\(977\) | −2.75619e16 | −0.990579 | −0.495289 | − | 0.868728i | \(-0.664938\pi\) | ||||
−0.495289 | + | 0.868728i | \(0.664938\pi\) | |||||||
\(978\) | 9.57479e13 | + | 8.96902e13i | 0.00342188 | + | 0.00320539i | ||||
\(979\) | 5.48754e15 | + | 5.48754e15i | 0.195017 | + | 0.195017i | ||||
\(980\) | 2.36069e16 | + | 2.07086e16i | 0.834250 | + | 0.731824i | ||||
\(981\) | −1.78041e15 | + | 1.78041e15i | −0.0625664 | + | 0.0625664i | ||||
\(982\) | −6.29275e14 | − | 1.92635e16i | −0.0219901 | − | 0.673166i | ||||
\(983\) | 7.69115e15i | 0.267268i | 0.991031 | + | 0.133634i | \(0.0426646\pi\) | ||||
−0.991031 | + | 0.133634i | \(0.957335\pi\) | |||||||
\(984\) | −9.21755e16 | + | 9.05898e15i | −3.18524 | + | 0.313045i | ||||
\(985\) | − | 3.91848e16i | − | 1.34654i | ||||||
\(986\) | −9.82978e15 | + | 3.21106e14i | −0.335908 | + | 0.0109730i | ||||
\(987\) | 1.78020e16 | − | 1.78020e16i | 0.604957 | − | 0.604957i | ||||
\(988\) | 7.22322e15 | − | 4.72421e14i | 0.244100 | − | 0.0159649i | ||||
\(989\) | 4.33201e15 | + | 4.33201e15i | 0.145583 | + | 0.145583i | ||||
\(990\) | −2.08282e16 | + | 2.22349e16i | −0.696079 | + | 0.743092i | ||||
\(991\) | 5.13881e14 | 0.0170788 | 0.00853939 | − | 0.999964i | \(-0.497282\pi\) | ||||
0.00853939 | + | 0.999964i | \(0.497282\pi\) | |||||||
\(992\) | 6.72459e15 | − | 9.37723e15i | 0.222255 | − | 0.309928i | ||||
\(993\) | 1.10941e17 | 3.64647 | ||||||||
\(994\) | −8.10061e14 | + | 8.64772e14i | −0.0264784 | + | 0.0282668i | ||||
\(995\) | 2.51369e16 | + | 2.51369e16i | 0.817118 | + | 0.817118i | ||||
\(996\) | 7.25820e16 | − | 4.74709e15i | 2.34640 | − | 0.153462i | ||||
\(997\) | 2.49674e16 | − | 2.49674e16i | 0.802693 | − | 0.802693i | −0.180822 | − | 0.983516i | \(-0.557876\pi\) |
0.983516 | + | 0.180822i | \(0.0578759\pi\) | |||||||
\(998\) | −3.03555e16 | + | 9.91613e14i | −0.970554 | + | 0.0317048i | ||||
\(999\) | − | 1.69991e17i | − | 5.40524i |
(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 | 16.12.e.a.13.7 | yes | 42 | |
4.3 | odd | 2 | 64.12.e.a.17.1 | 42 | |||
8.3 | odd | 2 | 128.12.e.a.33.21 | 42 | |||
8.5 | even | 2 | 128.12.e.b.33.1 | 42 | |||
16.3 | odd | 4 | 128.12.e.a.97.21 | 42 | |||
16.5 | even | 4 | inner | 16.12.e.a.5.7 | ✓ | 42 | |
16.11 | odd | 4 | 64.12.e.a.49.1 | 42 | |||
16.13 | even | 4 | 128.12.e.b.97.1 | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.12.e.a.5.7 | ✓ | 42 | 16.5 | even | 4 | inner | |
16.12.e.a.13.7 | yes | 42 | 1.1 | even | 1 | trivial | |
64.12.e.a.17.1 | 42 | 4.3 | odd | 2 | |||
64.12.e.a.49.1 | 42 | 16.11 | odd | 4 | |||
128.12.e.a.33.21 | 42 | 8.3 | odd | 2 | |||
128.12.e.a.97.21 | 42 | 16.3 | odd | 4 | |||
128.12.e.b.33.1 | 42 | 8.5 | even | 2 | |||
128.12.e.b.97.1 | 42 | 16.13 | even | 4 |