Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [48,9,Mod(19,48)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(48, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 0]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("48.19");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 48 = 2^{4} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 48.l (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: | \(19.5541732829\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 43.16 | ||
Character | \(\chi\) | \(=\) | 48.43 |
Dual form | 48.9.l.a.19.16 |
$q$-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 \(\left(\mathbb{Z}/48\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(31\) | \(37\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.76142 | − | 15.9027i | −0.110089 | − | 0.993922i | ||||
\(3\) | 33.0681 | + | 33.0681i | 0.408248 | + | 0.408248i | ||||
\(4\) | −249.795 | + | 56.0230i | −0.975761 | + | 0.218840i | ||||
\(5\) | 47.4496 | + | 47.4496i | 0.0759193 | + | 0.0759193i | 0.744047 | − | 0.668128i | \(-0.232904\pi\) |
−0.668128 | + | 0.744047i | \(0.732904\pi\) | |||||||
\(6\) | 467.627 | − | 584.121i | 0.360823 | − | 0.450710i | ||||
\(7\) | −2246.74 | −0.935751 | −0.467876 | − | 0.883794i | \(-0.654981\pi\) | ||||
−0.467876 | + | 0.883794i | \(0.654981\pi\) | |||||||
\(8\) | 1330.91 | + | 3873.74i | 0.324930 | + | 0.945738i | ||||
\(9\) | 2187.00i | 0.333333i | ||||||||
\(10\) | 670.999 | − | 838.157i | 0.0670999 | − | 0.0838157i | ||||
\(11\) | 17865.3 | − | 17865.3i | 1.22023 | − | 1.22023i | 0.252676 | − | 0.967551i | \(-0.418689\pi\) |
0.967551 | − | 0.252676i | \(-0.0813108\pi\) | |||||||
\(12\) | −10112.8 | − | 6407.67i | −0.487694 | − | 0.309012i | ||||
\(13\) | −16949.9 | + | 16949.9i | −0.593463 | + | 0.593463i | −0.938565 | − | 0.345102i | \(-0.887844\pi\) |
0.345102 | + | 0.938565i | \(0.387844\pi\) | |||||||
\(14\) | 3957.46 | + | 35729.3i | 0.103016 | + | 0.930064i | ||||
\(15\) | 3138.13i | 0.0619878i | ||||||||
\(16\) | 59258.9 | − | 27988.5i | 0.904218 | − | 0.427070i | ||||
\(17\) | 141614. | 1.69555 | 0.847777 | − | 0.530354i | \(-0.177941\pi\) | ||||
0.847777 | + | 0.530354i | \(0.177941\pi\) | |||||||
\(18\) | 34779.3 | − | 3852.23i | 0.331307 | − | 0.0366963i | ||||
\(19\) | 165898. | + | 165898.i | 1.27299 | + | 1.27299i | 0.944511 | + | 0.328481i | \(0.106537\pi\) |
0.328481 | + | 0.944511i | \(0.393463\pi\) | |||||||
\(20\) | −14510.9 | − | 9194.39i | −0.0906932 | − | 0.0574649i | ||||
\(21\) | −74295.4 | − | 74295.4i | −0.382019 | − | 0.382019i | ||||
\(22\) | −315577. | − | 252640.i | −1.34714 | − | 1.07848i | ||||
\(23\) | 64910.8 | 0.231956 | 0.115978 | − | 0.993252i | \(-0.463000\pi\) | ||||
0.115978 | + | 0.993252i | \(0.463000\pi\) | |||||||
\(24\) | −84086.6 | + | 172108.i | −0.253444 | + | 0.518748i | ||||
\(25\) | − | 386122.i | − | 0.988473i | ||||||
\(26\) | 299406. | + | 239694.i | 0.655190 | + | 0.524522i | ||||
\(27\) | −72320.0 | + | 72320.0i | −0.136083 | + | 0.136083i | ||||
\(28\) | 561224. | − | 125869.i | 0.913070 | − | 0.204780i | ||||
\(29\) | 67177.4 | − | 67177.4i | 0.0949798 | − | 0.0949798i | −0.658020 | − | 0.753000i | \(-0.728606\pi\) |
0.753000 | + | 0.658020i | \(0.228606\pi\) | |||||||
\(30\) | 49905.0 | − | 5527.58i | 0.0616111 | − | 0.00682418i | ||||
\(31\) | − | 1.30939e6i | − | 1.41783i | −0.705296 | − | 0.708913i | \(-0.749186\pi\) | ||
0.705296 | − | 0.708913i | \(-0.250814\pi\) | |||||||
\(32\) | −549474. | − | 893079.i | −0.524019 | − | 0.851707i | ||||
\(33\) | 1.18155e6 | 0.996311 | ||||||||
\(34\) | −249443. | − | 2.25206e6i | −0.186662 | − | 1.68525i | ||||
\(35\) | −106607. | − | 106607.i | −0.0710416 | − | 0.0710416i | ||||
\(36\) | −122522. | − | 546301.i | −0.0729466 | − | 0.325254i | ||||
\(37\) | 2.03671e6 | + | 2.03671e6i | 1.08673 | + | 1.08673i | 0.995863 | + | 0.0908676i | \(0.0289640\pi\) |
0.0908676 | + | 0.995863i | \(0.471036\pi\) | |||||||
\(38\) | 2.34601e6 | − | 2.93044e6i | 1.12511 | − | 1.40540i | ||||
\(39\) | −1.12100e6 | −0.484561 | ||||||||
\(40\) | −120656. | + | 246959.i | −0.0471313 | + | 0.0964682i | ||||
\(41\) | − | 1.65048e6i | − | 0.584085i | −0.956405 | − | 0.292043i | \(-0.905665\pi\) | ||
0.956405 | − | 0.292043i | \(-0.0943349\pi\) | |||||||
\(42\) | −1.05064e6 | + | 1.31237e6i | −0.337641 | + | 0.421753i | ||||
\(43\) | 1.66741e6 | − | 1.66741e6i | 0.487717 | − | 0.487717i | −0.419868 | − | 0.907585i | \(-0.637924\pi\) |
0.907585 | + | 0.419868i | \(0.137924\pi\) | |||||||
\(44\) | −3.46180e6 | + | 5.46354e6i | −0.923616 | + | 1.45768i | ||||
\(45\) | −103772. | + | 103772.i | −0.0253064 | + | 0.0253064i | ||||
\(46\) | −114336. | − | 1.03226e6i | −0.0255358 | − | 0.230546i | ||||
\(47\) | 9.60354e6i | 1.96807i | 0.177986 | + | 0.984033i | \(0.443042\pi\) | ||||
−0.177986 | + | 0.984033i | \(0.556958\pi\) | |||||||
\(48\) | 2.88510e6 | + | 1.03405e6i | 0.543496 | + | 0.194795i | ||||
\(49\) | −716963. | −0.124369 | ||||||||
\(50\) | −6.14040e6 | + | 680125.i | −0.982464 | + | 0.108820i | ||||
\(51\) | 4.68292e6 | + | 4.68292e6i | 0.692207 | + | 0.692207i | ||||
\(52\) | 3.28441e6 | − | 5.18358e6i | 0.449205 | − | 0.708952i | ||||
\(53\) | 1.35090e6 | + | 1.35090e6i | 0.171207 | + | 0.171207i | 0.787509 | − | 0.616303i | \(-0.211370\pi\) |
−0.616303 | + | 0.787509i | \(0.711370\pi\) | |||||||
\(54\) | 1.27747e6 | + | 1.02270e6i | 0.150237 | + | 0.120274i | ||||
\(55\) | 1.69541e6 | 0.185278 | ||||||||
\(56\) | −2.99022e6 | − | 8.70329e6i | −0.304054 | − | 0.884976i | ||||
\(57\) | 1.09718e7i | 1.03939i | ||||||||
\(58\) | −1.18663e6 | − | 949978.i | −0.104859 | − | 0.0839463i | ||||
\(59\) | −4.17057e6 | + | 4.17057e6i | −0.344181 | + | 0.344181i | −0.857937 | − | 0.513756i | \(-0.828254\pi\) |
0.513756 | + | 0.857937i | \(0.328254\pi\) | |||||||
\(60\) | −175808. | − | 783889.i | −0.0135654 | − | 0.0604853i | ||||
\(61\) | 5.53048e6 | − | 5.53048e6i | 0.399432 | − | 0.399432i | −0.478600 | − | 0.878033i | \(-0.658856\pi\) |
0.878033 | + | 0.478600i | \(0.158856\pi\) | |||||||
\(62\) | −2.08229e7 | + | 2.30639e6i | −1.40921 | + | 0.156087i | ||||
\(63\) | − | 4.91362e6i | − | 0.311917i | ||||||
\(64\) | −1.32346e7 | + | 1.03112e7i | −0.788841 | + | 0.614597i | ||||
\(65\) | −1.60853e6 | −0.0901106 | ||||||||
\(66\) | −2.08120e6 | − | 1.87898e7i | −0.109683 | − | 0.990255i | ||||
\(67\) | 1.60468e7 | + | 1.60468e7i | 0.796322 | + | 0.796322i | 0.982513 | − | 0.186192i | \(-0.0596146\pi\) |
−0.186192 | + | 0.982513i | \(0.559615\pi\) | |||||||
\(68\) | −3.53745e7 | + | 7.93365e6i | −1.65445 | + | 0.371054i | ||||
\(69\) | 2.14648e6 | + | 2.14648e6i | 0.0946957 | + | 0.0946957i | ||||
\(70\) | −1.50756e6 | + | 1.88312e6i | −0.0627889 | + | 0.0784307i | ||||
\(71\) | 1.51290e7 | 0.595354 | 0.297677 | − | 0.954667i | \(-0.403788\pi\) | ||||
0.297677 | + | 0.954667i | \(0.403788\pi\) | |||||||
\(72\) | −8.47188e6 | + | 2.91071e6i | −0.315246 | + | 0.108310i | ||||
\(73\) | − | 9.31022e6i | − | 0.327845i | −0.986473 | − | 0.163923i | \(-0.947585\pi\) | ||
0.986473 | − | 0.163923i | \(-0.0524147\pi\) | |||||||
\(74\) | 2.88017e7 | − | 3.59768e7i | 0.960488 | − | 1.19976i | ||||
\(75\) | 1.27683e7 | − | 1.27683e7i | 0.403542 | − | 0.403542i | ||||
\(76\) | −5.07344e7 | − | 3.21463e7i | −1.52072 | − | 0.963554i | ||||
\(77\) | −4.01388e7 | + | 4.01388e7i | −1.14183 | + | 1.14183i | ||||
\(78\) | 1.97456e6 | + | 1.78270e7i | 0.0533448 | + | 0.481615i | ||||
\(79\) | 4.17784e7i | 1.07261i | 0.844023 | + | 0.536307i | \(0.180181\pi\) | ||||
−0.844023 | + | 0.536307i | \(0.819819\pi\) | |||||||
\(80\) | 4.13985e6 | + | 1.48377e6i | 0.101070 | + | 0.0362247i | ||||
\(81\) | −4.78297e6 | −0.111111 | ||||||||
\(82\) | −2.62472e7 | + | 2.90720e6i | −0.580535 | + | 0.0643013i | ||||
\(83\) | 1.25940e7 | + | 1.25940e7i | 0.265371 | + | 0.265371i | 0.827232 | − | 0.561861i | \(-0.189914\pi\) |
−0.561861 | + | 0.827232i | \(0.689914\pi\) | |||||||
\(84\) | 2.27209e7 | + | 1.43964e7i | 0.456360 | + | 0.289158i | ||||
\(85\) | 6.71953e6 | + | 6.71953e6i | 0.128725 | + | 0.128725i | ||||
\(86\) | −2.94534e7 | − | 2.35794e7i | −0.538445 | − | 0.431061i | ||||
\(87\) | 4.44286e6 | 0.0775507 | ||||||||
\(88\) | 9.29830e7 | + | 4.54285e7i | 1.55050 | + | 0.757527i | ||||
\(89\) | − | 4.99268e7i | − | 0.795745i | −0.917441 | − | 0.397872i | \(-0.869749\pi\) | ||
0.917441 | − | 0.397872i | \(-0.130251\pi\) | |||||||
\(90\) | 1.83305e6 | + | 1.46748e6i | 0.0279386 | + | 0.0223666i | ||||
\(91\) | 3.80820e7 | − | 3.80820e7i | 0.555334 | − | 0.555334i | ||||
\(92\) | −1.62144e7 | + | 3.63650e6i | −0.226334 | + | 0.0507612i | ||||
\(93\) | 4.32991e7 | − | 4.32991e7i | 0.578825 | − | 0.578825i | ||||
\(94\) | 1.52723e8 | − | 1.69159e7i | 1.95610 | − | 0.216662i | ||||
\(95\) | 1.57435e7i | 0.193289i | ||||||||
\(96\) | 1.13624e7 | − | 4.77025e7i | 0.133778 | − | 0.561638i | ||||
\(97\) | −4.98508e7 | −0.563099 | −0.281550 | − | 0.959547i | \(-0.590848\pi\) | ||||
−0.281550 | + | 0.959547i | \(0.590848\pi\) | |||||||
\(98\) | 1.26288e6 | + | 1.14017e7i | 0.0136917 | + | 0.123613i | ||||
\(99\) | 3.90715e7 | + | 3.90715e7i | 0.406742 | + | 0.406742i | ||||
\(100\) | 2.16317e7 | + | 9.64513e7i | 0.216317 | + | 0.964513i | ||||
\(101\) | −9.87694e7 | − | 9.87694e7i | −0.949155 | − | 0.949155i | 0.0496137 | − | 0.998768i | \(-0.484201\pi\) |
−0.998768 | + | 0.0496137i | \(0.984201\pi\) | |||||||
\(102\) | 6.62226e7 | − | 8.27199e7i | 0.611795 | − | 0.764204i | ||||
\(103\) | 1.41838e8 | 1.26021 | 0.630106 | − | 0.776509i | \(-0.283011\pi\) | ||||
0.630106 | + | 0.776509i | \(0.283011\pi\) | |||||||
\(104\) | −8.82184e7 | − | 4.31007e7i | −0.754095 | − | 0.368427i | ||||
\(105\) | − | 7.05057e6i | − | 0.0580052i | ||||||
\(106\) | 1.91036e7 | − | 2.38626e7i | 0.151318 | − | 0.189014i | ||||
\(107\) | 6.86007e7 | − | 6.86007e7i | 0.523351 | − | 0.523351i | −0.395231 | − | 0.918582i | \(-0.629335\pi\) |
0.918582 | + | 0.395231i | \(0.129335\pi\) | |||||||
\(108\) | 1.40136e7 | − | 2.21167e7i | 0.103004 | − | 0.162565i | ||||
\(109\) | −6.22635e7 | + | 6.22635e7i | −0.441091 | + | 0.441091i | −0.892378 | − | 0.451288i | \(-0.850965\pi\) |
0.451288 | + | 0.892378i | \(0.350965\pi\) | |||||||
\(110\) | −2.98633e6 | − | 2.69616e7i | −0.0203970 | − | 0.184151i | ||||
\(111\) | 1.34700e8i | 0.887312i | ||||||||
\(112\) | −1.33139e8 | + | 6.28828e7i | −0.846124 | + | 0.399632i | ||||
\(113\) | −1.50898e8 | −0.925488 | −0.462744 | − | 0.886492i | \(-0.653135\pi\) | ||||
−0.462744 | + | 0.886492i | \(0.653135\pi\) | |||||||
\(114\) | 1.74482e8 | − | 1.93261e7i | 1.03308 | − | 0.114426i | ||||
\(115\) | 3.07999e6 | + | 3.07999e6i | 0.0176099 | + | 0.0176099i | ||||
\(116\) | −1.30171e7 | + | 2.05441e7i | −0.0718923 | + | 0.113463i | ||||
\(117\) | −3.70694e7 | − | 3.70694e7i | −0.197821 | − | 0.197821i | ||||
\(118\) | 7.36696e7 | + | 5.89773e7i | 0.379980 | + | 0.304199i | ||||
\(119\) | −3.18170e8 | −1.58662 | ||||||||
\(120\) | −1.21563e7 | + | 4.17658e6i | −0.0586243 | + | 0.0201417i | ||||
\(121\) | − | 4.23982e8i | − | 1.97791i | ||||||
\(122\) | −9.76913e7 | − | 7.82083e7i | −0.440978 | − | 0.353031i | ||||
\(123\) | 5.45784e7 | − | 5.45784e7i | 0.238452 | − | 0.238452i | ||||
\(124\) | 7.33560e7 | + | 3.27079e8i | 0.310276 | + | 1.38346i | ||||
\(125\) | 3.68563e7 | − | 3.68563e7i | 0.150963 | − | 0.150963i | ||||
\(126\) | −7.81400e7 | + | 8.65496e6i | −0.310021 | + | 0.0343386i | ||||
\(127\) | − | 2.66738e8i | − | 1.02534i | −0.858584 | − | 0.512672i | \(-0.828656\pi\) | ||
0.858584 | − | 0.512672i | \(-0.171344\pi\) | |||||||
\(128\) | 1.87289e8 | + | 1.92303e8i | 0.697704 | + | 0.716386i | ||||
\(129\) | 1.10276e8 | 0.398220 | ||||||||
\(130\) | 2.83330e6 | + | 2.55801e7i | 0.00992018 | + | 0.0895629i | ||||
\(131\) | 1.66446e8 | + | 1.66446e8i | 0.565183 | + | 0.565183i | 0.930775 | − | 0.365592i | \(-0.119134\pi\) |
−0.365592 | + | 0.930775i | \(0.619134\pi\) | |||||||
\(132\) | −2.95144e8 | + | 6.61937e7i | −0.972162 | + | 0.218032i | ||||
\(133\) | −3.72728e8 | − | 3.72728e8i | −1.19120 | − | 1.19120i | ||||
\(134\) | 2.26923e8 | − | 2.83453e8i | 0.703815 | − | 0.879148i | ||||
\(135\) | −6.86310e6 | −0.0206626 | ||||||||
\(136\) | 1.88476e8 | + | 5.48577e8i | 0.550936 | + | 1.60355i | ||||
\(137\) | 3.14642e8i | 0.893170i | 0.894741 | + | 0.446585i | \(0.147360\pi\) | ||||
−0.894741 | + | 0.446585i | \(0.852640\pi\) | |||||||
\(138\) | 3.03541e7 | − | 3.79158e7i | 0.0836952 | − | 0.104545i | ||||
\(139\) | −1.39232e8 | + | 1.39232e8i | −0.372976 | + | 0.372976i | −0.868560 | − | 0.495584i | \(-0.834954\pi\) |
0.495584 | + | 0.868560i | \(0.334954\pi\) | |||||||
\(140\) | 3.26022e7 | + | 2.06574e7i | 0.0848663 | + | 0.0537729i | ||||
\(141\) | −3.17571e8 | + | 3.17571e8i | −0.803460 | + | 0.803460i | ||||
\(142\) | −2.66485e7 | − | 2.40592e8i | −0.0655420 | − | 0.591736i | ||||
\(143\) | 6.05632e8i | 1.44832i | ||||||||
\(144\) | 6.12108e7 | + | 1.29599e8i | 0.142357 | + | 0.301406i | ||||
\(145\) | 6.37508e6 | 0.0144216 | ||||||||
\(146\) | −1.48058e8 | + | 1.63992e7i | −0.325852 | + | 0.0360921i | ||||
\(147\) | −2.37086e7 | − | 2.37086e7i | −0.0507735 | − | 0.0507735i | ||||
\(148\) | −6.22861e8 | − | 3.94657e8i | −1.29821 | − | 0.822569i | ||||
\(149\) | −4.59473e8 | − | 4.59473e8i | −0.932213 | − | 0.932213i | 0.0656314 | − | 0.997844i | \(-0.479094\pi\) |
−0.997844 | + | 0.0656314i | \(0.979094\pi\) | |||||||
\(150\) | −2.25542e8 | − | 1.80561e8i | −0.445515 | − | 0.356664i | ||||
\(151\) | 1.41862e8 | 0.272871 | 0.136435 | − | 0.990649i | \(-0.456435\pi\) | ||||
0.136435 | + | 0.990649i | \(0.456435\pi\) | |||||||
\(152\) | −4.21849e8 | + | 8.63440e8i | −0.790283 | + | 1.61755i | ||||
\(153\) | 3.09710e8i | 0.565184i | ||||||||
\(154\) | 7.09018e8 | + | 5.67615e8i | 1.26059 | + | 1.00919i | ||||
\(155\) | 6.21300e7 | − | 6.21300e7i | 0.107640 | − | 0.107640i | ||||
\(156\) | 2.80021e8 | − | 6.28019e7i | 0.472815 | − | 0.106041i | ||||
\(157\) | 2.30405e8 | − | 2.30405e8i | 0.379221 | − | 0.379221i | −0.491600 | − | 0.870821i | \(-0.663588\pi\) |
0.870821 | + | 0.491600i | \(0.163588\pi\) | |||||||
\(158\) | 6.64392e8 | − | 7.35895e7i | 1.06609 | − | 0.118083i | ||||
\(159\) | 8.93437e7i | 0.139790i | ||||||||
\(160\) | 1.63039e7 | − | 6.84485e7i | 0.0248778 | − | 0.104444i | ||||
\(161\) | −1.45838e8 | −0.217053 | ||||||||
\(162\) | 8.42483e6 | + | 7.60623e7i | 0.0122321 | + | 0.110436i | ||||
\(163\) | −7.28740e8 | − | 7.28740e8i | −1.03234 | − | 1.03234i | −0.999459 | − | 0.0328796i | \(-0.989532\pi\) |
−0.0328796 | − | 0.999459i | \(-0.510468\pi\) | |||||||
\(164\) | 9.24650e7 | + | 4.12282e8i | 0.127821 | + | 0.569927i | ||||
\(165\) | 5.60638e7 | + | 5.60638e7i | 0.0756392 | + | 0.0756392i | ||||
\(166\) | 1.78096e8 | − | 2.22463e8i | 0.234543 | − | 0.292972i | ||||
\(167\) | 1.08061e9 | 1.38932 | 0.694661 | − | 0.719337i | \(-0.255554\pi\) | ||||
0.694661 | + | 0.719337i | \(0.255554\pi\) | |||||||
\(168\) | 1.88921e8 | − | 3.86682e8i | 0.237160 | − | 0.485419i | ||||
\(169\) | 2.41132e8i | 0.295603i | ||||||||
\(170\) | 9.50231e7 | − | 1.18695e8i | 0.113772 | − | 0.142114i | ||||
\(171\) | −3.62818e8 | + | 3.62818e8i | −0.424330 | + | 0.424330i | ||||
\(172\) | −3.23097e8 | + | 5.09923e8i | −0.369164 | + | 0.582627i | ||||
\(173\) | 2.32974e8 | − | 2.32974e8i | 0.260089 | − | 0.260089i | −0.565001 | − | 0.825090i | \(-0.691124\pi\) |
0.825090 | + | 0.565001i | \(0.191124\pi\) | |||||||
\(174\) | −7.82576e6 | − | 7.06537e7i | −0.00853748 | − | 0.0770793i | ||||
\(175\) | 8.67516e8i | 0.924965i | ||||||||
\(176\) | 5.58656e8 | − | 1.55870e9i | 0.582229 | − | 1.62447i | ||||
\(177\) | −2.75826e8 | −0.281023 | ||||||||
\(178\) | −7.93974e8 | + | 8.79423e7i | −0.790908 | + | 0.0876027i | ||||
\(179\) | 8.47329e8 | + | 8.47329e8i | 0.825354 | + | 0.825354i | 0.986870 | − | 0.161516i | \(-0.0516384\pi\) |
−0.161516 | + | 0.986870i | \(0.551638\pi\) | |||||||
\(180\) | 2.01081e7 | − | 3.17354e7i | 0.0191550 | − | 0.0302311i | ||||
\(181\) | −9.37914e8 | − | 9.37914e8i | −0.873874 | − | 0.873874i | 0.119018 | − | 0.992892i | \(-0.462025\pi\) |
−0.992892 | + | 0.119018i | \(0.962025\pi\) | |||||||
\(182\) | −6.72687e8 | − | 5.38530e8i | −0.613095 | − | 0.490822i | ||||
\(183\) | 3.65765e8 | 0.326135 | ||||||||
\(184\) | 8.63907e7 | + | 2.51448e8i | 0.0753695 | + | 0.219370i | ||||
\(185\) | 1.93282e8i | 0.165008i | ||||||||
\(186\) | −7.64843e8 | − | 6.12307e8i | −0.639029 | − | 0.511584i | ||||
\(187\) | 2.52999e9 | − | 2.52999e9i | 2.06896 | − | 2.06896i | ||||
\(188\) | −5.38018e8 | − | 2.39891e9i | −0.430691 | − | 1.92036i | ||||
\(189\) | 1.62484e8 | − | 1.62484e8i | 0.127340 | − | 0.127340i | ||||
\(190\) | 2.50365e8 | − | 2.77310e7i | 0.192114 | − | 0.0212790i | ||||
\(191\) | 9.91150e8i | 0.744742i | 0.928084 | + | 0.372371i | \(0.121455\pi\) | ||||
−0.928084 | + | 0.372371i | \(0.878545\pi\) | |||||||
\(192\) | −7.78615e8 | − | 9.66688e7i | −0.572951 | − | 0.0711347i | ||||
\(193\) | 9.32199e8 | 0.671861 | 0.335930 | − | 0.941887i | \(-0.390949\pi\) | ||||
0.335930 | + | 0.941887i | \(0.390949\pi\) | |||||||
\(194\) | 8.78083e7 | + | 7.92764e8i | 0.0619910 | + | 0.559676i | ||||
\(195\) | −5.31911e7 | − | 5.31911e7i | −0.0367875 | − | 0.0367875i | ||||
\(196\) | 1.79094e8 | − | 4.01664e7i | 0.121355 | − | 0.0272169i | ||||
\(197\) | 1.05900e8 | + | 1.05900e8i | 0.0703120 | + | 0.0703120i | 0.741388 | − | 0.671076i | \(-0.234168\pi\) |
−0.671076 | + | 0.741388i | \(0.734168\pi\) | |||||||
\(198\) | 5.52523e8 | − | 6.90166e8i | 0.359492 | − | 0.449048i | ||||
\(199\) | −1.52250e9 | −0.970835 | −0.485418 | − | 0.874282i | \(-0.661332\pi\) | ||||
−0.485418 | + | 0.874282i | \(0.661332\pi\) | |||||||
\(200\) | 1.49574e9 | − | 5.13895e8i | 0.934836 | − | 0.321184i | ||||
\(201\) | 1.06127e9i | 0.650194i | ||||||||
\(202\) | −1.39673e9 | + | 1.74468e9i | −0.838894 | + | 1.04788i | ||||
\(203\) | −1.50930e8 | + | 1.50930e8i | −0.0888775 | + | 0.0888775i | ||||
\(204\) | −1.43212e9 | − | 9.07417e8i | −0.826910 | − | 0.523946i | ||||
\(205\) | 7.83148e7 | − | 7.83148e7i | 0.0443433 | − | 0.0443433i | ||||
\(206\) | −2.49837e8 | − | 2.25561e9i | −0.138736 | − | 1.25255i | ||||
\(207\) | 1.41960e8i | 0.0773187i | ||||||||
\(208\) | −5.30030e8 | + | 1.47883e9i | −0.283170 | + | 0.790071i | ||||
\(209\) | 5.92763e9 | 3.10668 | ||||||||
\(210\) | −1.12123e8 | + | 1.24190e7i | −0.0576526 | + | 0.00638573i | ||||
\(211\) | 2.13500e8 | + | 2.13500e8i | 0.107713 | + | 0.107713i | 0.758909 | − | 0.651196i | \(-0.225733\pi\) |
−0.651196 | + | 0.758909i | \(0.725733\pi\) | |||||||
\(212\) | −4.13130e8 | − | 2.61767e8i | −0.204524 | − | 0.129590i | ||||
\(213\) | 5.00286e8 | + | 5.00286e8i | 0.243052 | + | 0.243052i | ||||
\(214\) | −1.21177e9 | − | 9.70104e8i | −0.577785 | − | 0.462555i | ||||
\(215\) | 1.58236e8 | 0.0740543 | ||||||||
\(216\) | −3.76401e8 | − | 1.83897e8i | −0.172916 | − | 0.0844813i | ||||
\(217\) | 2.94186e9i | 1.32673i | ||||||||
\(218\) | 1.09983e9 | + | 8.80489e8i | 0.486969 | + | 0.389850i | ||||
\(219\) | 3.07871e8 | − | 3.07871e8i | 0.133842 | − | 0.133842i | ||||
\(220\) | −4.23503e8 | + | 9.49816e7i | −0.180787 | + | 0.0405461i | ||||
\(221\) | −2.40035e9 | + | 2.40035e9i | −1.00625 | + | 1.00625i | ||||
\(222\) | 2.14210e9 | − | 2.37264e8i | 0.881918 | − | 0.0976832i | ||||
\(223\) | − | 1.72171e9i | − | 0.696209i | −0.937456 | − | 0.348105i | \(-0.886825\pi\) | ||
0.937456 | − | 0.348105i | \(-0.113175\pi\) | |||||||
\(224\) | 1.23452e9 | + | 2.00652e9i | 0.490352 | + | 0.796986i | ||||
\(225\) | 8.44449e8 | 0.329491 | ||||||||
\(226\) | 2.65796e8 | + | 2.39970e9i | 0.101886 | + | 0.919863i | ||||
\(227\) | −7.69801e8 | − | 7.69801e8i | −0.289918 | − | 0.289918i | 0.547130 | − | 0.837048i | \(-0.315720\pi\) |
−0.837048 | + | 0.547130i | \(0.815720\pi\) | |||||||
\(228\) | −6.14675e8 | − | 2.74071e9i | −0.227460 | − | 1.01420i | ||||
\(229\) | −5.44692e8 | − | 5.44692e8i | −0.198065 | − | 0.198065i | 0.601105 | − | 0.799170i | \(-0.294727\pi\) |
−0.799170 | + | 0.601105i | \(0.794727\pi\) | |||||||
\(230\) | 4.35551e7 | − | 5.44055e7i | 0.0155642 | − | 0.0194416i | ||||
\(231\) | −2.65463e9 | −0.932300 | ||||||||
\(232\) | 3.49635e8 | + | 1.70821e8i | 0.120688 | + | 0.0589643i | ||||
\(233\) | − | 1.66872e9i | − | 0.566188i | −0.959092 | − | 0.283094i | \(-0.908639\pi\) | ||
0.959092 | − | 0.283094i | \(-0.0913608\pi\) | |||||||
\(234\) | −5.24211e8 | + | 6.54801e8i | −0.174841 | + | 0.218397i | ||||
\(235\) | −4.55683e8 | + | 4.55683e8i | −0.149414 | + | 0.149414i | ||||
\(236\) | 8.08138e8 | − | 1.27543e9i | 0.260518 | − | 0.411159i | ||||
\(237\) | −1.38153e9 | + | 1.38153e9i | −0.437893 | + | 0.437893i | ||||
\(238\) | 5.60433e8 | + | 5.05978e9i | 0.174669 | + | 1.57697i | ||||
\(239\) | 5.04593e9i | 1.54650i | 0.634102 | + | 0.773249i | \(0.281370\pi\) | ||||
−0.634102 | + | 0.773249i | \(0.718630\pi\) | |||||||
\(240\) | 8.78316e7 | + | 1.85962e8i | 0.0264732 | + | 0.0560505i | ||||
\(241\) | 2.03267e9 | 0.602557 | 0.301278 | − | 0.953536i | \(-0.402587\pi\) | ||||
0.301278 | + | 0.953536i | \(0.402587\pi\) | |||||||
\(242\) | −6.74248e9 | + | 7.46812e8i | −1.96589 | + | 0.217746i | ||||
\(243\) | −1.58164e8 | − | 1.58164e8i | −0.0453609 | − | 0.0453609i | ||||
\(244\) | −1.07165e9 | + | 1.69132e9i | −0.302339 | + | 0.477162i | ||||
\(245\) | −3.40196e7 | − | 3.40196e7i | −0.00944202 | − | 0.00944202i | ||||
\(246\) | −9.64082e8 | − | 7.71811e8i | −0.263253 | − | 0.210751i | ||||
\(247\) | −5.62389e9 | −1.51095 | ||||||||
\(248\) | 5.07225e9 | − | 1.74269e9i | 1.34089 | − | 0.460694i | ||||
\(249\) | 8.32922e8i | 0.216674i | ||||||||
\(250\) | −6.51036e8 | − | 5.21197e8i | −0.166665 | − | 0.133426i | ||||
\(251\) | 2.27923e9 | − | 2.27923e9i | 0.574239 | − | 0.574239i | −0.359071 | − | 0.933310i | \(-0.616906\pi\) |
0.933310 | + | 0.359071i | \(0.116906\pi\) | |||||||
\(252\) | 2.75275e8 | + | 1.22740e9i | 0.0682598 | + | 0.304357i | ||||
\(253\) | 1.15965e9 | − | 1.15965e9i | 0.283039 | − | 0.283039i | ||||
\(254\) | −4.24187e9 | + | 4.69838e8i | −1.01911 | + | 0.112879i | ||||
\(255\) | 4.44405e8i | 0.105104i | ||||||||
\(256\) | 2.72826e9 | − | 3.31713e9i | 0.635222 | − | 0.772330i | ||||
\(257\) | −3.55390e9 | −0.814652 | −0.407326 | − | 0.913283i | \(-0.633539\pi\) | ||||
−0.407326 | + | 0.913283i | \(0.633539\pi\) | |||||||
\(258\) | −1.94243e8 | − | 1.75369e9i | −0.0438396 | − | 0.395799i | ||||
\(259\) | −4.57595e9 | − | 4.57595e9i | −1.01691 | − | 1.01691i | ||||
\(260\) | 4.01803e8 | − | 9.01146e7i | 0.0879264 | − | 0.0197198i | ||||
\(261\) | 1.46917e8 | + | 1.46917e8i | 0.0316599 | + | 0.0316599i | ||||
\(262\) | 2.35377e9 | − | 2.94013e9i | 0.499527 | − | 0.623968i | ||||
\(263\) | −7.80529e9 | −1.63142 | −0.815711 | − | 0.578460i | \(-0.803654\pi\) | ||||
−0.815711 | + | 0.578460i | \(0.803654\pi\) | |||||||
\(264\) | 1.57254e9 | + | 4.57701e9i | 0.323731 | + | 0.942250i | ||||
\(265\) | 1.28200e8i | 0.0259958i | ||||||||
\(266\) | −5.27087e9 | + | 6.58394e9i | −1.05282 | + | 1.31510i | ||||
\(267\) | 1.65099e9 | − | 1.65099e9i | 0.324861 | − | 0.324861i | ||||
\(268\) | −4.90739e9 | − | 3.10941e9i | −0.951286 | − | 0.602753i | ||||
\(269\) | 3.28256e9 | − | 3.28256e9i | 0.626907 | − | 0.626907i | −0.320381 | − | 0.947289i | \(-0.603811\pi\) |
0.947289 | + | 0.320381i | \(0.103811\pi\) | |||||||
\(270\) | 1.20888e7 | + | 1.09142e8i | 0.00227473 | + | 0.0205370i | ||||
\(271\) | 2.72532e9i | 0.505289i | 0.967559 | + | 0.252644i | \(0.0813003\pi\) | ||||
−0.967559 | + | 0.252644i | \(0.918700\pi\) | |||||||
\(272\) | 8.39190e9 | − | 3.96357e9i | 1.53315 | − | 0.724120i | ||||
\(273\) | 2.51860e9 | 0.453428 | ||||||||
\(274\) | 5.00367e9 | − | 5.54218e8i | 0.887741 | − | 0.0983282i | ||||
\(275\) | −6.89820e9 | − | 6.89820e9i | −1.20616 | − | 1.20616i | ||||
\(276\) | −6.56431e8 | − | 4.15927e8i | −0.113124 | − | 0.0716772i | ||||
\(277\) | −1.81149e9 | − | 1.81149e9i | −0.307692 | − | 0.307692i | 0.536321 | − | 0.844014i | \(-0.319813\pi\) |
−0.844014 | + | 0.536321i | \(0.819813\pi\) | |||||||
\(278\) | 2.45942e9 | + | 1.96893e9i | 0.411769 | + | 0.329648i | ||||
\(279\) | 2.86364e9 | 0.472608 | ||||||||
\(280\) | 2.71083e8 | − | 5.54852e8i | 0.0441032 | − | 0.0902703i | ||||
\(281\) | 6.37253e9i | 1.02208i | 0.859556 | + | 0.511042i | \(0.170740\pi\) | ||||
−0.859556 | + | 0.511042i | \(0.829260\pi\) | |||||||
\(282\) | 5.60962e9 | + | 4.49087e9i | 0.887028 | + | 0.710124i | ||||
\(283\) | 7.66787e9 | − | 7.66787e9i | 1.19544 | − | 1.19544i | 0.219926 | − | 0.975517i | \(-0.429418\pi\) |
0.975517 | − | 0.219926i | \(-0.0705816\pi\) | |||||||
\(284\) | −3.77913e9 | + | 8.47569e8i | −0.580924 | + | 0.130287i | ||||
\(285\) | −5.20609e8 | + | 5.20609e8i | −0.0789100 | + | 0.0789100i | ||||
\(286\) | 9.63121e9 | − | 1.06677e9i | 1.43952 | − | 0.159444i | ||||
\(287\) | 3.70821e9i | 0.546558i | ||||||||
\(288\) | 1.95316e9 | − | 1.20170e9i | 0.283902 | − | 0.174673i | ||||
\(289\) | 1.30788e10 | 1.87490 | ||||||||
\(290\) | −1.12292e7 | − | 1.01381e8i | −0.00158766 | − | 0.0143339i | ||||
\(291\) | −1.64847e9 | − | 1.64847e9i | −0.229884 | − | 0.229884i | ||||
\(292\) | 5.21586e8 | + | 2.32564e9i | 0.0717455 | + | 0.319898i | ||||
\(293\) | −7.56090e9 | − | 7.56090e9i | −1.02590 | − | 1.02590i | −0.999656 | − | 0.0262398i | \(-0.991647\pi\) |
−0.0262398 | − | 0.999656i | \(-0.508353\pi\) | |||||||
\(294\) | −3.35271e8 | + | 4.18793e8i | −0.0448753 | + | 0.0560545i | ||||
\(295\) | −3.95783e8 | −0.0522600 | ||||||||
\(296\) | −5.17900e9 | + | 1.06004e10i | −0.674651 | + | 1.38087i | ||||
\(297\) | 2.58404e9i | 0.332104i | ||||||||
\(298\) | −6.49756e9 | + | 8.11621e9i | −0.823920 | + | 1.02917i | ||||
\(299\) | −1.10023e9 | + | 1.10023e9i | −0.137657 | + | 0.137657i | ||||
\(300\) | −2.47414e9 | + | 3.90478e9i | −0.305450 | + | 0.482072i | ||||
\(301\) | −3.74623e9 | + | 3.74623e9i | −0.456382 | + | 0.456382i | ||||
\(302\) | −2.49878e8 | − | 2.25599e9i | −0.0300401 | − | 0.271212i | ||||
\(303\) | − | 6.53224e9i | − | 0.774982i | ||||||
\(304\) | 1.44741e10 | + | 5.18768e9i | 1.69472 | + | 0.607405i | ||||
\(305\) | 5.24837e8 | 0.0606492 | ||||||||
\(306\) | 4.92525e9 | − | 5.45531e8i | 0.561749 | − | 0.0622206i | ||||
\(307\) | −5.51929e9 | − | 5.51929e9i | −0.621340 | − | 0.621340i | 0.324534 | − | 0.945874i | \(-0.394793\pi\) |
−0.945874 | + | 0.324534i | \(0.894793\pi\) | |||||||
\(308\) | 7.77776e9 | − | 1.22751e10i | 0.864275 | − | 1.36403i | ||||
\(309\) | 4.69032e9 | + | 4.69032e9i | 0.514480 | + | 0.514480i | ||||
\(310\) | −1.09748e9 | − | 8.78601e8i | −0.118836 | − | 0.0951360i | ||||
\(311\) | −5.46409e9 | −0.584086 | −0.292043 | − | 0.956405i | \(-0.594335\pi\) | ||||
−0.292043 | + | 0.956405i | \(0.594335\pi\) | |||||||
\(312\) | −1.49196e9 | − | 4.34248e9i | −0.157448 | − | 0.458268i | ||||
\(313\) | − | 4.15814e7i | − | 0.00433234i | −0.999998 | − | 0.00216617i | \(-0.999310\pi\) | ||
0.999998 | − | 0.00216617i | \(-0.000689513\pi\) | |||||||
\(314\) | −4.06991e9 | − | 3.25823e9i | −0.418664 | − | 0.335168i | ||||
\(315\) | 2.33149e8 | − | 2.33149e8i | 0.0236805 | − | 0.0236805i | ||||
\(316\) | −2.34055e9 | − | 1.04360e10i | −0.234731 | − | 1.04662i | ||||
\(317\) | 3.47349e9 | − | 3.47349e9i | 0.343977 | − | 0.343977i | −0.513883 | − | 0.857860i | \(-0.671794\pi\) |
0.857860 | + | 0.513883i | \(0.171794\pi\) | |||||||
\(318\) | 1.42081e9 | − | 1.57372e8i | 0.138940 | − | 0.0153893i | ||||
\(319\) | − | 2.40030e9i | − | 0.231794i | ||||||
\(320\) | −1.11724e9 | − | 1.38710e8i | −0.106548 | − | 0.0132285i | ||||
\(321\) | 4.53699e9 | 0.427314 | ||||||||
\(322\) | 2.56882e8 | + | 2.31922e9i | 0.0238952 | + | 0.215734i | ||||
\(323\) | 2.34935e10 | + | 2.34935e10i | 2.15842 | + | 2.15842i | ||||
\(324\) | 1.19476e9 | − | 2.67956e8i | 0.108418 | − | 0.0243155i | ||||
\(325\) | 6.54473e9 | + | 6.54473e9i | 0.586622 | + | 0.586622i | ||||
\(326\) | −1.03054e10 | + | 1.28726e10i | −0.912415 | + | 1.13971i | ||||
\(327\) | −4.11787e9 | −0.360149 | ||||||||
\(328\) | 6.39355e9 | − | 2.19665e9i | 0.552391 | − | 0.189787i | ||||
\(329\) | − | 2.15766e10i | − | 1.84162i | ||||||
\(330\) | 7.92817e8 | − | 9.90321e8i | 0.0668524 | − | 0.0835065i | ||||
\(331\) | 3.27124e9 | − | 3.27124e9i | 0.272521 | − | 0.272521i | −0.557593 | − | 0.830114i | \(-0.688275\pi\) |
0.830114 | + | 0.557593i | \(0.188275\pi\) | |||||||
\(332\) | −3.85148e9 | − | 2.44037e9i | −0.317012 | − | 0.200865i | ||||
\(333\) | −4.45428e9 | + | 4.45428e9i | −0.362244 | + | 0.362244i | ||||
\(334\) | −1.90341e9 | − | 1.71847e10i | −0.152949 | − | 1.38088i | ||||
\(335\) | 1.52282e9i | 0.120912i | ||||||||
\(336\) | −6.48208e9 | − | 2.32325e9i | −0.508578 | − | 0.182280i | ||||
\(337\) | −1.87990e10 | −1.45752 | −0.728761 | − | 0.684768i | \(-0.759903\pi\) | ||||
−0.728761 | + | 0.684768i | \(0.759903\pi\) | |||||||
\(338\) | 3.83466e9 | − | 4.24736e8i | 0.293806 | − | 0.0325426i | ||||
\(339\) | −4.98992e9 | − | 4.98992e9i | −0.377829 | − | 0.377829i | ||||
\(340\) | −2.05495e9 | − | 1.30206e9i | −0.153775 | − | 0.0974348i | ||||
\(341\) | −2.33927e10 | − | 2.33927e10i | −1.73007 | − | 1.73007i | ||||
\(342\) | 6.40888e9 | + | 5.13073e9i | 0.468465 | + | 0.375037i | ||||
\(343\) | 1.45628e10 | 1.05213 | ||||||||
\(344\) | 8.67829e9 | + | 4.23994e9i | 0.619727 | + | 0.302779i | ||||
\(345\) | 2.03699e8i | 0.0143785i | ||||||||
\(346\) | −4.11529e9 | − | 3.29456e9i | −0.287142 | − | 0.229876i | ||||
\(347\) | −3.94626e9 | + | 3.94626e9i | −0.272187 | + | 0.272187i | −0.829980 | − | 0.557793i | \(-0.811648\pi\) |
0.557793 | + | 0.829980i | \(0.311648\pi\) | |||||||
\(348\) | −1.10980e9 | + | 2.48902e8i | −0.0756710 | + | 0.0169712i | ||||
\(349\) | −1.22506e10 | + | 1.22506e10i | −0.825766 | + | 0.825766i | −0.986928 | − | 0.161162i | \(-0.948476\pi\) |
0.161162 | + | 0.986928i | \(0.448476\pi\) | |||||||
\(350\) | 1.37959e10 | − | 1.52806e9i | 0.919342 | − | 0.101828i | ||||
\(351\) | − | 2.45163e9i | − | 0.161520i | ||||||
\(352\) | −2.57717e10 | − | 6.13863e9i | −1.67870 | − | 0.399853i | ||||
\(353\) | 8.23971e9 | 0.530656 | 0.265328 | − | 0.964158i | \(-0.414520\pi\) | ||||
0.265328 | + | 0.964158i | \(0.414520\pi\) | |||||||
\(354\) | 4.85846e8 | + | 4.38638e9i | 0.0309375 | + | 0.279315i | ||||
\(355\) | 7.17862e8 | + | 7.17862e8i | 0.0451989 | + | 0.0451989i | ||||
\(356\) | 2.79705e9 | + | 1.24715e10i | 0.174141 | + | 0.776457i | ||||
\(357\) | −1.05213e10 | − | 1.05213e10i | −0.647733 | − | 0.647733i | ||||
\(358\) | 1.19824e10 | − | 1.49674e10i | 0.729475 | − | 0.911199i | ||||
\(359\) | −1.03833e9 | −0.0625113 | −0.0312557 | − | 0.999511i | \(-0.509951\pi\) | ||||
−0.0312557 | + | 0.999511i | \(0.509951\pi\) | |||||||
\(360\) | −5.40098e8 | − | 2.63875e8i | −0.0321561 | − | 0.0157104i | ||||
\(361\) | 3.80604e10i | 2.24101i | ||||||||
\(362\) | −1.32633e10 | + | 1.65675e10i | −0.772358 | + | 0.964766i | ||||
\(363\) | 1.40203e10 | − | 1.40203e10i | 0.807478 | − | 0.807478i | ||||
\(364\) | −7.37922e9 | + | 1.16462e10i | −0.420344 | + | 0.663402i | ||||
\(365\) | 4.41766e8 | − | 4.41766e8i | 0.0248898 | − | 0.0248898i | ||||
\(366\) | −6.44267e8 | − | 5.81667e9i | −0.0359039 | − | 0.324153i | ||||
\(367\) | 3.12066e10i | 1.72021i | 0.510115 | + | 0.860106i | \(0.329603\pi\) | ||||
−0.510115 | + | 0.860106i | \(0.670397\pi\) | |||||||
\(368\) | 3.84654e9 | − | 1.81676e9i | 0.209739 | − | 0.0990616i | ||||
\(369\) | 3.60961e9 | 0.194695 | ||||||||
\(370\) | 3.07371e9 | − | 3.40451e8i | 0.164005 | − | 0.0181655i | ||||
\(371\) | −3.03513e9 | − | 3.03513e9i | −0.160207 | − | 0.160207i | ||||
\(372\) | −8.39015e9 | + | 1.32416e10i | −0.438125 | + | 0.691464i | ||||
\(373\) | 2.09805e10 | + | 2.09805e10i | 1.08388 | + | 1.08388i | 0.996144 | + | 0.0877333i | \(0.0279623\pi\) |
0.0877333 | + | 0.996144i | \(0.472038\pi\) | |||||||
\(374\) | −4.46901e10 | − | 3.57774e10i | −2.28415 | − | 1.82861i | ||||
\(375\) | 2.43754e9 | 0.123261 | ||||||||
\(376\) | −3.72016e10 | + | 1.27815e10i | −1.86128 | + | 0.639484i | ||||
\(377\) | 2.27730e9i | 0.112734i | ||||||||
\(378\) | −2.87015e9 | − | 2.29774e9i | −0.140584 | − | 0.112547i | ||||
\(379\) | −1.72306e10 | + | 1.72306e10i | −0.835109 | + | 0.835109i | −0.988210 | − | 0.153102i | \(-0.951074\pi\) |
0.153102 | + | 0.988210i | \(0.451074\pi\) | |||||||
\(380\) | −8.81999e8 | − | 3.93265e9i | −0.0422993 | − | 0.188604i | ||||
\(381\) | 8.82052e9 | − | 8.82052e9i | 0.418595 | − | 0.418595i | ||||
\(382\) | 1.57620e10 | − | 1.74584e9i | 0.740216 | − | 0.0819879i | ||||
\(383\) | 3.09945e10i | 1.44042i | 0.693756 | + | 0.720210i | \(0.255954\pi\) | ||||
−0.693756 | + | 0.720210i | \(0.744046\pi\) | |||||||
\(384\) | −1.65829e8 | + | 1.25524e10i | −0.00762666 | + | 0.577300i | ||||
\(385\) | −3.80913e9 | −0.173374 | ||||||||
\(386\) | −1.64200e9 | − | 1.48245e10i | −0.0739645 | − | 0.667777i | ||||
\(387\) | 3.64662e9 | + | 3.64662e9i | 0.162572 | + | 0.162572i | ||||
\(388\) | 1.24525e10 | − | 2.79279e9i | 0.549450 | − | 0.123228i | ||||
\(389\) | −3.19222e8 | − | 3.19222e8i | −0.0139410 | − | 0.0139410i | 0.700102 | − | 0.714043i | \(-0.253138\pi\) |
−0.714043 | + | 0.700102i | \(0.753138\pi\) | |||||||
\(390\) | −7.52192e8 | + | 9.39576e8i | −0.0325140 | + | 0.0406138i | ||||
\(391\) | 9.19230e9 | 0.393294 | ||||||||
\(392\) | −9.54216e8 | − | 2.77733e9i | −0.0404113 | − | 0.117621i | ||||
\(393\) | 1.10081e10i | 0.461470i | ||||||||
\(394\) | 1.49756e9 | − | 1.87063e9i | 0.0621440 | − | 0.0776252i | ||||
\(395\) | −1.98237e9 | + | 1.98237e9i | −0.0814321 | + | 0.0814321i | ||||
\(396\) | −1.19488e10 | − | 7.57096e9i | −0.485895 | − | 0.307872i | ||||
\(397\) | 1.76535e10 | − | 1.76535e10i | 0.710672 | − | 0.710672i | −0.256004 | − | 0.966676i | \(-0.582406\pi\) |
0.966676 | + | 0.256004i | \(0.0824059\pi\) | |||||||
\(398\) | 2.68177e9 | + | 2.42120e10i | 0.106878 | + | 0.964934i | ||||
\(399\) | − | 2.46509e10i | − | 0.972614i | ||||||
\(400\) | −1.08070e10 | − | 2.28812e10i | −0.422147 | − | 0.893795i | ||||
\(401\) | 3.74095e8 | 0.0144679 | 0.00723393 | − | 0.999974i | \(-0.497697\pi\) | ||||
0.00723393 | + | 0.999974i | \(0.497697\pi\) | |||||||
\(402\) | 1.68772e10 | − | 1.86935e9i | 0.646242 | − | 0.0715792i | ||||
\(403\) | 2.21941e10 | + | 2.21941e10i | 0.841427 | + | 0.841427i | ||||
\(404\) | 3.02054e10 | + | 1.91387e10i | 1.13386 | + | 0.718435i | ||||
\(405\) | −2.26950e8 | − | 2.26950e8i | −0.00843548 | − | 0.00843548i | ||||
\(406\) | 2.66606e9 | + | 2.13435e9i | 0.0981217 | + | 0.0785529i | ||||
\(407\) | 7.27730e10 | 2.65212 | ||||||||
\(408\) | −1.19079e10 | + | 2.43730e10i | −0.429727 | + | 0.879565i | ||||
\(409\) | − | 3.00482e10i | − | 1.07380i | −0.843645 | − | 0.536902i | \(-0.819595\pi\) | ||
0.843645 | − | 0.536902i | \(-0.180405\pi\) | |||||||
\(410\) | −1.38337e9 | − | 1.10747e9i | −0.0489555 | − | 0.0391921i | ||||
\(411\) | −1.04046e10 | + | 1.04046e10i | −0.364635 | + | 0.364635i | ||||
\(412\) | −3.54304e10 | + | 7.94618e9i | −1.22967 | + | 0.275784i | ||||
\(413\) | 9.37018e9 | − | 9.37018e9i | 0.322068 | − | 0.322068i | ||||
\(414\) | 2.25755e9 | − | 2.50052e8i | 0.0768488 | − | 0.00851194i | ||||
\(415\) | 1.19516e9i | 0.0402935i | ||||||||
\(416\) | 2.44511e10 | + | 5.82408e9i | 0.816443 | + | 0.194471i | ||||
\(417\) | −9.20830e9 | −0.304534 | ||||||||
\(418\) | −1.04411e10 | − | 9.42657e10i | −0.342011 | − | 3.08779i | ||||
\(419\) | 6.04082e9 | + | 6.04082e9i | 0.195993 | + | 0.195993i | 0.798280 | − | 0.602287i | \(-0.205744\pi\) |
−0.602287 | + | 0.798280i | \(0.705744\pi\) | |||||||
\(420\) | 3.94994e8 | + | 1.76120e9i | 0.0126938 | + | 0.0565992i | ||||
\(421\) | −7.29767e9 | − | 7.29767e9i | −0.232304 | − | 0.232304i | 0.581350 | − | 0.813654i | \(-0.302525\pi\) |
−0.813654 | + | 0.581350i | \(0.802525\pi\) | |||||||
\(422\) | 3.01917e9 | − | 3.77129e9i | 0.0952001 | − | 0.118916i | ||||
\(423\) | −2.10029e10 | −0.656022 | ||||||||
\(424\) | −3.43512e9 | + | 7.03099e9i | −0.106287 | + | 0.217547i | ||||
\(425\) | − | 5.46804e10i | − | 1.67601i | ||||||
\(426\) | 7.07471e9 | − | 8.83714e9i | 0.214818 | − | 0.268332i | ||||
\(427\) | −1.24255e10 | + | 1.24255e10i | −0.373769 | + | 0.373769i | ||||
\(428\) | −1.32929e10 | + | 2.09793e10i | −0.396136 | + | 0.625196i | ||||
\(429\) | −2.00271e10 | + | 2.00271e10i | −0.591274 | + | 0.591274i | ||||
\(430\) | −2.78720e8 | − | 2.51638e9i | −0.00815256 | − | 0.0736042i | ||||
\(431\) | − | 2.69990e10i | − | 0.782418i | −0.920302 | − | 0.391209i | \(-0.872057\pi\) | ||
0.920302 | − | 0.391209i | \(-0.127943\pi\) | |||||||
\(432\) | −2.26147e9 | + | 6.30972e9i | −0.0649316 | + | 0.181165i | ||||
\(433\) | −2.67958e10 | −0.762282 | −0.381141 | − | 0.924517i | \(-0.624469\pi\) | ||||
−0.381141 | + | 0.924517i | \(0.624469\pi\) | |||||||
\(434\) | 4.67837e10 | − | 5.18186e9i | 1.31867 | − | 0.146059i | ||||
\(435\) | 2.10812e8 | + | 2.10812e8i | 0.00588759 | + | 0.00588759i | ||||
\(436\) | 1.20649e10 | − | 1.90413e10i | 0.333871 | − | 0.526927i | ||||
\(437\) | 1.07685e10 | + | 1.07685e10i | 0.295278 | + | 0.295278i | ||||
\(438\) | −5.43829e9 | − | 4.35371e9i | −0.147763 | − | 0.118294i | ||||
\(439\) | 3.38996e8 | 0.00912717 | 0.00456358 | − | 0.999990i | \(-0.498547\pi\) | ||||
0.00456358 | + | 0.999990i | \(0.498547\pi\) | |||||||
\(440\) | 2.25644e9 | + | 6.56756e9i | 0.0602022 | + | 0.175224i | ||||
\(441\) | − | 1.56800e9i | − | 0.0414564i | ||||||
\(442\) | 4.24002e10 | + | 3.39441e10i | 1.11091 | + | 0.889355i | ||||
\(443\) | −7.03554e9 | + | 7.03554e9i | −0.182676 | + | 0.182676i | −0.792521 | − | 0.609845i | \(-0.791232\pi\) |
0.609845 | + | 0.792521i | \(0.291232\pi\) | |||||||
\(444\) | −7.54630e9 | − | 3.36474e10i | −0.194179 | − | 0.865804i | ||||
\(445\) | 2.36900e9 | − | 2.36900e9i | 0.0604124 | − | 0.0604124i | ||||
\(446\) | −2.73799e10 | + | 3.03266e9i | −0.691977 | + | 0.0766450i | ||||
\(447\) | − | 3.03878e10i | − | 0.761148i | ||||||
\(448\) | 2.97346e10 | − | 2.31667e10i | 0.738159 | − | 0.575110i | ||||
\(449\) | −2.61244e10 | −0.642778 | −0.321389 | − | 0.946947i | \(-0.604150\pi\) | ||||
−0.321389 | + | 0.946947i | \(0.604150\pi\) | |||||||
\(450\) | −1.48743e9 | − | 1.34291e10i | −0.0362733 | − | 0.327488i | ||||
\(451\) | −2.94865e10 | − | 2.94865e10i | −0.712716 | − | 0.712716i | ||||
\(452\) | 3.76936e10 | − | 8.45377e9i | 0.903055 | − | 0.202533i | ||||
\(453\) | 4.69109e9 | + | 4.69109e9i | 0.111399 | + | 0.111399i | ||||
\(454\) | −1.08860e10 | + | 1.35979e10i | −0.256239 | + | 0.320073i | ||||
\(455\) | 3.61395e9 | 0.0843211 | ||||||||
\(456\) | −4.25021e10 | + | 1.46026e10i | −0.982994 | + | 0.337730i | ||||
\(457\) | 5.77079e10i | 1.32303i | 0.749931 | + | 0.661516i | \(0.230087\pi\) | ||||
−0.749931 | + | 0.661516i | \(0.769913\pi\) | |||||||
\(458\) | −7.70266e9 | + | 9.62152e9i | −0.175057 | + | 0.218666i | ||||
\(459\) | −1.02415e10 | + | 1.02415e10i | −0.230736 | + | 0.230736i | ||||
\(460\) | −9.41916e8 | − | 5.96815e8i | −0.0210369 | − | 0.0133293i | ||||
\(461\) | 8.63048e9 | − | 8.63048e9i | 0.191087 | − | 0.191087i | −0.605079 | − | 0.796166i | \(-0.706858\pi\) |
0.796166 | + | 0.605079i | \(0.206858\pi\) | |||||||
\(462\) | 4.67592e9 | + | 4.22159e10i | 0.102636 | + | 0.926633i | ||||
\(463\) | − | 5.35776e10i | − | 1.16589i | −0.812510 | − | 0.582947i | \(-0.801900\pi\) | ||
0.812510 | − | 0.582947i | \(-0.198100\pi\) | |||||||
\(464\) | 2.10066e9 | − | 5.86105e9i | 0.0453194 | − | 0.126446i | ||||
\(465\) | 4.10905e9 | 0.0878879 | ||||||||
\(466\) | −2.65373e10 | + | 2.93933e9i | −0.562746 | + | 0.0623310i | ||||
\(467\) | 4.91477e10 | + | 4.91477e10i | 1.03332 | + | 1.03332i | 0.999425 | + | 0.0338964i | \(0.0107916\pi\) |
0.0338964 | + | 0.999425i | \(0.489208\pi\) | |||||||
\(468\) | 1.13365e10 | + | 7.18301e9i | 0.236317 | + | 0.149735i | ||||
\(469\) | −3.60529e10 | − | 3.60529e10i | −0.745159 | − | 0.745159i | ||||
\(470\) | 8.04927e9 | + | 6.44397e9i | 0.164955 | + | 0.132057i | ||||
\(471\) | 1.52381e10 | 0.309633 | ||||||||
\(472\) | −2.17064e10 | − | 1.06050e10i | −0.437340 | − | 0.213670i | ||||
\(473\) | − | 5.95777e10i | − | 1.19025i | ||||||
\(474\) | 2.44036e10 | + | 1.95367e10i | 0.483439 | + | 0.387024i | ||||
\(475\) | 6.40567e10 | − | 6.40567e10i | 1.25832 | − | 1.25832i | ||||
\(476\) | 7.94773e10 | − | 1.78248e10i | 1.54816 | − | 0.347215i | ||||
\(477\) | −2.95443e9 | + | 2.95443e9i | −0.0570689 | + | 0.0570689i | ||||
\(478\) | 8.02441e10 | − | 8.88802e9i | 1.53710 | − | 0.170252i | ||||
\(479\) | 2.87792e10i | 0.546684i | 0.961917 | + | 0.273342i | \(0.0881291\pi\) | ||||
−0.961917 | + | 0.273342i | \(0.911871\pi\) | |||||||
\(480\) | 2.80260e9 | − | 1.72432e9i | 0.0527954 | − | 0.0324828i | ||||
\(481\) | −6.90440e10 | −1.28987 | ||||||||
\(482\) | −3.58039e9 | − | 3.23250e10i | −0.0663349 | − | 0.598894i | ||||
\(483\) | −4.82258e9 | − | 4.82258e9i | −0.0886117 | − | 0.0886117i | ||||
\(484\) | 2.37527e10 | + | 1.05909e11i | 0.432845 | + | 1.92997i | ||||
\(485\) | −2.36540e9 | − | 2.36540e9i | −0.0427501 | − | 0.0427501i | ||||
\(486\) | −2.23664e9 | + | 2.79383e9i | −0.0400915 | + | 0.0500789i | ||||
\(487\) | −1.35906e10 | −0.241614 | −0.120807 | − | 0.992676i | \(-0.538548\pi\) | ||||
−0.120807 | + | 0.992676i | \(0.538548\pi\) | |||||||
\(488\) | 2.87842e10 | + | 1.40631e10i | 0.507546 | + | 0.247971i | ||||
\(489\) | − | 4.81961e10i | − | 0.842901i | ||||||
\(490\) | −4.81082e8 | + | 6.00928e8i | −0.00834516 | + | 0.0104241i | ||||
\(491\) | −7.35880e10 | + | 7.35880e10i | −1.26614 | + | 1.26614i | −0.318072 | + | 0.948067i | \(0.603035\pi\) |
−0.948067 | + | 0.318072i | \(0.896965\pi\) | |||||||
\(492\) | −1.05758e10 | + | 1.66910e10i | −0.180489 | + | 0.284855i | ||||
\(493\) | 9.51329e9 | − | 9.51329e9i | 0.161043 | − | 0.161043i | ||||
\(494\) | 9.90606e9 | + | 8.94354e10i | 0.166339 | + | 1.50176i | ||||
\(495\) | 3.70785e9i | 0.0617592i | ||||||||
\(496\) | −3.66479e10 | − | 7.75930e10i | −0.605511 | − | 1.28202i | ||||
\(497\) | −3.39908e10 | −0.557104 | ||||||||
\(498\) | 1.32458e10 | − | 1.46713e9i | 0.215357 | − | 0.0238534i | ||||
\(499\) | −1.81053e10 | − | 1.81053e10i | −0.292015 | − | 0.292015i | 0.545861 | − | 0.837876i | \(-0.316203\pi\) |
−0.837876 | + | 0.545861i | \(0.816203\pi\) | |||||||
\(500\) | −7.14171e9 | + | 1.12713e10i | −0.114267 | + | 0.180341i | ||||
\(501\) | 3.57337e10 | + | 3.57337e10i | 0.567188 | + | 0.567188i | ||||
\(502\) | −4.02607e10 | − | 3.22313e10i | −0.633967 | − | 0.507532i | ||||
\(503\) | −1.08311e11 | −1.69200 | −0.846002 | − | 0.533179i | \(-0.820997\pi\) | ||||
−0.846002 | + | 0.533179i | \(0.820997\pi\) | |||||||
\(504\) | 1.90341e10 | − | 6.53960e9i | 0.294992 | − | 0.101351i | ||||
\(505\) | − | 9.37313e9i | − | 0.144118i | ||||||
\(506\) | −2.04843e10 | − | 1.63991e10i | −0.312478 | − | 0.250159i | ||||
\(507\) | −7.97379e9 | + | 7.97379e9i | −0.120679 | + | 0.120679i | ||||
\(508\) | 1.49434e10 | + | 6.66297e10i | 0.224386 | + | 1.00049i | ||||
\(509\) | −1.04729e10 | + | 1.04729e10i | −0.156025 | + | 0.156025i | −0.780803 | − | 0.624778i | \(-0.785190\pi\) |
0.624778 | + | 0.780803i | \(0.285190\pi\) | |||||||
\(510\) | 7.06725e9 | − | 7.82785e8i | 0.104465 | − | 0.0115708i | ||||
\(511\) | 2.09176e10i | 0.306781i | ||||||||
\(512\) | −5.75571e10 | − | 3.75439e10i | −0.837566 | − | 0.546336i | ||||
\(513\) | −2.39954e10 | −0.346464 | ||||||||
\(514\) | 6.25992e9 | + | 5.65167e10i | 0.0896842 | + | 0.809701i | ||||
\(515\) | 6.73015e9 | + | 6.73015e9i | 0.0956744 | + | 0.0956744i | ||||
\(516\) | −2.75464e10 | + | 6.17799e9i | −0.388567 | + | 0.0871462i | ||||
\(517\) | 1.71570e11 | + | 1.71570e11i | 2.40149 | + | 2.40149i | ||||
\(518\) | −6.47100e10 | + | 8.08304e10i | −0.898778 | + | 1.12268i | ||||
\(519\) | 1.54080e10 | 0.212362 | ||||||||
\(520\) | −2.14081e9 | − | 6.23103e9i | −0.0292796 | − | 0.0852210i | ||||
\(521\) | − | 4.54812e10i | − | 0.617278i | −0.951179 | − | 0.308639i | \(-0.900127\pi\) | ||
0.951179 | − | 0.308639i | \(-0.0998734\pi\) | |||||||
\(522\) | 2.07760e9 | − | 2.59517e9i | 0.0279821 | − | 0.0349529i | ||||
\(523\) | −2.83198e10 | + | 2.83198e10i | −0.378515 | + | 0.378515i | −0.870566 | − | 0.492051i | \(-0.836247\pi\) |
0.492051 | + | 0.870566i | \(0.336247\pi\) | |||||||
\(524\) | −5.09022e10 | − | 3.22526e10i | −0.675167 | − | 0.427799i | ||||
\(525\) | −2.86871e10 | + | 2.86871e10i | −0.377615 | + | 0.377615i | ||||
\(526\) | 1.37484e10 | + | 1.24126e11i | 0.179602 | + | 1.62151i | ||||
\(527\) | − | 1.85429e11i | − | 2.40400i | ||||||
\(528\) | 7.00171e10 | − | 3.30697e10i | 0.900883 | − | 0.425495i | ||||
\(529\) | −7.40976e10 | −0.946196 | ||||||||
\(530\) | 2.03873e9 | − | 2.25814e8i | 0.0258378 | − | 0.00286185i | ||||
\(531\) | −9.12103e9 | − | 9.12103e9i | −0.114727 | − | 0.114727i | ||||
\(532\) | 1.13987e11 | + | 7.22243e10i | 1.42301 | + | 0.901647i | ||||
\(533\) | 2.79756e10 | + | 2.79756e10i | 0.346633 | + | 0.346633i | ||||
\(534\) | −2.91633e10 | − | 2.33471e10i | −0.358651 | − | 0.287123i | ||||
\(535\) | 6.51014e9 | 0.0794649 | ||||||||
\(536\) | −4.08042e10 | + | 8.35179e10i | −0.494363 | + | 1.01186i | ||||
\(537\) | 5.60392e10i | 0.673898i | ||||||||
\(538\) | −5.79837e10 | − | 4.64197e10i | −0.692112 | − | 0.554081i | ||||
\(539\) | −1.28088e10 | + | 1.28088e10i | −0.151759 | + | 0.151759i | ||||
\(540\) | 1.71437e9 | − | 3.84491e8i | 0.0201618 | − | 0.00452180i | ||||
\(541\) | 2.92862e10 | − | 2.92862e10i | 0.341881 | − | 0.341881i | −0.515193 | − | 0.857074i | \(-0.672280\pi\) |
0.857074 | + | 0.515193i | \(0.172280\pi\) | |||||||
\(542\) | 4.33400e10 | − | 4.80043e9i | 0.502217 | − | 0.0556267i | ||||
\(543\) | − | 6.20301e10i | − | 0.713515i | ||||||
\(544\) | −7.78133e10 | − | 1.26473e11i | −0.888502 | − | 1.44411i | ||||
\(545\) | −5.90875e9 | −0.0669745 | ||||||||
\(546\) | −4.43632e9 | − | 4.00527e10i | −0.0499175 | − | 0.450672i | ||||
\(547\) | −1.03888e11 | − | 1.03888e11i | −1.16042 | − | 1.16042i | −0.984383 | − | 0.176039i | \(-0.943672\pi\) |
−0.176039 | − | 0.984383i | \(-0.556328\pi\) | |||||||
\(548\) | −1.76272e10 | − | 7.85959e10i | −0.195461 | − | 0.871520i | ||||
\(549\) | 1.20952e10 | + | 1.20952e10i | 0.133144 | + | 0.133144i | ||||
\(550\) | −9.75497e10 | + | 1.21851e11i | −1.06604 | + | 1.33161i | ||||
\(551\) | 2.22891e10 | 0.241817 | ||||||||
\(552\) | −5.45813e9 | + | 1.11717e10i | −0.0587879 | + | 0.120327i | ||||
\(553\) | − | 9.38652e10i | − | 1.00370i | ||||||
\(554\) | −2.56169e10 | + | 3.19985e10i | −0.271949 | + | 0.339696i | ||||
\(555\) | −6.39146e9 | + | 6.39146e9i | −0.0673641 | + | 0.0673641i | ||||
\(556\) | 2.69793e10 | − | 4.25797e10i | 0.282313 | − | 0.445557i | ||||
\(557\) | −4.16797e10 | + | 4.16797e10i | −0.433016 | + | 0.433016i | −0.889653 | − | 0.456637i | \(-0.849054\pi\) |
0.456637 | + | 0.889653i | \(0.349054\pi\) | |||||||
\(558\) | −5.04408e9 | − | 4.55397e10i | −0.0520290 | − | 0.469736i | ||||
\(559\) | 5.65248e10i | 0.578885i | ||||||||
\(560\) | −9.30116e9 | − | 3.33363e9i | −0.0945769 | − | 0.0338974i | ||||
\(561\) | 1.67324e11 | 1.68930 | ||||||||
\(562\) | 1.01341e11 | − | 1.12247e10i | 1.01587 | − | 0.112520i | ||||
\(563\) | 7.81306e10 | + | 7.81306e10i | 0.777656 | + | 0.777656i | 0.979432 | − | 0.201776i | \(-0.0646712\pi\) |
−0.201776 | + | 0.979432i | \(0.564671\pi\) | |||||||
\(564\) | 6.15363e10 | − | 9.71188e10i | 0.608156 | − | 0.959813i | ||||
\(565\) | −7.16006e9 | − | 7.16006e9i | −0.0702624 | − | 0.0702624i | ||||
\(566\) | −1.35446e11 | − | 1.08434e11i | −1.31978 | − | 1.05657i | ||||
\(567\) | 1.07461e10 | 0.103972 | ||||||||
\(568\) | 2.01353e10 | + | 5.86057e10i | 0.193449 | + | 0.563049i | ||||
\(569\) | 1.34862e11i | 1.28659i | 0.765618 | + | 0.643296i | \(0.222434\pi\) | ||||
−0.765618 | + | 0.643296i | \(0.777566\pi\) | |||||||
\(570\) | 9.19612e9 | + | 7.36210e9i | 0.0871175 | + | 0.0697432i | ||||
\(571\) | −6.56636e10 | + | 6.56636e10i | −0.617704 | + | 0.617704i | −0.944942 | − | 0.327238i | \(-0.893882\pi\) |
0.327238 | + | 0.944942i | \(0.393882\pi\) | |||||||
\(572\) | −3.39293e10 | − | 1.51284e11i | −0.316950 | − | 1.41321i | ||||
\(573\) | −3.27755e10 | + | 3.27755e10i | −0.304040 | + | 0.304040i | ||||
\(574\) | 5.89707e10 | − | 6.53173e9i | 0.543236 | − | 0.0601701i | ||||
\(575\) | − | 2.50635e10i | − | 0.229282i | ||||||
\(576\) | −2.25507e10 | − | 2.89440e10i | −0.204866 | − | 0.262947i | ||||
\(577\) | 4.11217e10 | 0.370995 | 0.185498 | − | 0.982645i | \(-0.440610\pi\) | ||||
0.185498 | + | 0.982645i | \(0.440610\pi\) | |||||||
\(578\) | −2.30374e10 | − | 2.07990e11i | −0.206406 | − | 1.86350i | ||||
\(579\) | 3.08261e10 | + | 3.08261e10i | 0.274286 | + | 0.274286i | ||||
\(580\) | −1.59246e9 | + | 3.57151e8i | −0.0140720 | + | 0.00315602i | ||||
\(581\) | −2.82955e10 | − | 2.82955e10i | −0.248321 | − | 0.248321i | ||||
\(582\) | −2.33116e10 | + | 2.91189e10i | −0.203179 | + | 0.253795i | ||||
\(583\) | 4.82687e10 | 0.417822 | ||||||||
\(584\) | 3.60654e10 | − | 1.23911e10i | 0.310056 | − | 0.106527i | ||||
\(585\) | − | 3.51786e9i | − | 0.0300369i | ||||||
\(586\) | −1.06921e11 | + | 1.33557e11i | −0.906720 | + | 1.13260i | ||||
\(587\) | −6.41428e10 | + | 6.41428e10i | −0.540251 | + | 0.540251i | −0.923603 | − | 0.383352i | \(-0.874770\pi\) |
0.383352 | + | 0.923603i | \(0.374770\pi\) | |||||||
\(588\) | 7.25052e9 | + | 4.59406e9i | 0.0606540 | + | 0.0384315i | ||||
\(589\) | 2.17225e11 | − | 2.17225e11i | 1.80488 | − | 1.80488i | ||||
\(590\) | 6.97142e8 | + | 6.29404e9i | 0.00575325 | + | 0.0519423i | ||||
\(591\) | 7.00380e9i | 0.0574095i | ||||||||
\(592\) | 1.77697e11 | + | 6.36886e10i | 1.44675 | + | 0.518531i | ||||
\(593\) | 1.17104e11 | 0.947005 | 0.473502 | − | 0.880793i | \(-0.342990\pi\) | ||||
0.473502 | + | 0.880793i | \(0.342990\pi\) | |||||||
\(594\) | 4.10934e10 | − | 4.55159e9i | 0.330085 | − | 0.0365610i | ||||
\(595\) | −1.50970e10 | − | 1.50970e10i | −0.120455 | − | 0.120455i | ||||
\(596\) | 1.40515e11 | + | 8.90329e10i | 1.11362 | + | 0.705611i | ||||
\(597\) | −5.03463e10 | − | 5.03463e10i | −0.396342 | − | 0.396342i | ||||
\(598\) | 1.94347e10 | + | 1.55587e10i | 0.151975 | + | 0.121666i | ||||
\(599\) | −6.59737e10 | −0.512464 | −0.256232 | − | 0.966615i | \(-0.582481\pi\) | ||||
−0.256232 | + | 0.966615i | \(0.582481\pi\) | |||||||
\(600\) | 6.64548e10 | + | 3.24677e10i | 0.512768 | + | 0.250522i | ||||
\(601\) | − | 1.57761e10i | − | 0.120921i | −0.998171 | − | 0.0604606i | \(-0.980743\pi\) | ||
0.998171 | − | 0.0604606i | \(-0.0192570\pi\) | |||||||
\(602\) | 6.61741e10 | + | 5.29767e10i | 0.503851 | + | 0.403366i | ||||
\(603\) | −3.50943e10 | + | 3.50943e10i | −0.265441 | + | 0.265441i | ||||
\(604\) | −3.54363e10 | + | 7.94750e9i | −0.266257 | + | 0.0597149i | ||||
\(605\) | 2.01178e10 | − | 2.01178e10i | 0.150161 | − | 0.150161i | ||||
\(606\) | −1.03881e11 | + | 1.15060e10i | −0.770271 | + | 0.0853169i | ||||
\(607\) | − | 9.67141e10i | − | 0.712418i | −0.934406 | − | 0.356209i | \(-0.884069\pi\) | ||
0.934406 | − | 0.356209i | \(-0.115931\pi\) | |||||||
\(608\) | 5.70033e10 | − | 2.39316e11i | 0.417144 | − | 1.75129i | ||||
\(609\) | −9.98195e9 | −0.0725682 | ||||||||
\(610\) | −9.24461e8 | − | 8.34635e9i | −0.00667681 | − | 0.0602806i | ||||
\(611\) | −1.62779e11 | − | 1.62779e11i | −1.16797 | − | 1.16797i | ||||
\(612\) | −1.73509e10 | − | 7.73641e10i | −0.123685 | − | 0.551485i | ||||
\(613\) | 1.45465e11 | + | 1.45465e11i | 1.03019 | + | 1.03019i | 0.999530 | + | 0.0306587i | \(0.00976051\pi\) |
0.0306587 | + | 0.999530i | \(0.490239\pi\) | |||||||
\(614\) | −7.80500e10 | + | 9.74936e10i | −0.549161 | + | 0.685966i | ||||
\(615\) | 5.17944e9 | 0.0362062 | ||||||||
\(616\) | −2.08909e11 | − | 1.02066e11i | −1.45089 | − | 0.708857i | ||||
\(617\) | 1.57319e11i | 1.08553i | 0.839885 | + | 0.542764i | \(0.182622\pi\) | ||||
−0.839885 | + | 0.542764i | \(0.817378\pi\) | |||||||
\(618\) | 6.63273e10 | − | 8.28505e10i | 0.454714 | − | 0.567991i | ||||
\(619\) | 1.53017e11 | − | 1.53017e11i | 1.04226 | − | 1.04226i | 0.0431963 | − | 0.999067i | \(-0.486246\pi\) |
0.999067 | − | 0.0431963i | \(-0.0137541\pi\) | |||||||
\(620\) | −1.20390e10 | + | 1.90005e10i | −0.0814752 | + | 0.128587i | ||||
\(621\) | −4.69435e9 | + | 4.69435e9i | −0.0315652 | + | 0.0315652i | ||||
\(622\) | 9.62458e9 | + | 8.68941e10i | 0.0643014 | + | 0.580535i | ||||
\(623\) | 1.12173e11i | 0.744619i | ||||||||
\(624\) | −6.64293e10 | + | 3.13752e10i | −0.438149 | + | 0.206942i | ||||
\(625\) | −1.47331e11 | −0.965550 | ||||||||
\(626\) | −6.61259e8 | + | 7.32425e7i | −0.00430600 | + | 0.000476943i | ||||
\(627\) | 1.96016e11 | + | 1.96016e11i | 1.26830 | + | 1.26830i | ||||
\(628\) | −4.46459e10 | + | 7.04618e10i | −0.287040 | + | 0.453018i | ||||
\(629\) | 2.88427e11 | + | 2.88427e11i | 1.84261 | + | 1.84261i | ||||
\(630\) | −4.11838e9 | − | 3.29704e9i | −0.0261436 | − | 0.0209296i | ||||
\(631\) | 1.00191e11 | 0.631992 | 0.315996 | − | 0.948761i | \(-0.397661\pi\) | ||||
0.315996 | + | 0.948761i | \(0.397661\pi\) | |||||||
\(632\) | −1.61839e11 | + | 5.56035e10i | −1.01441 | + | 0.348525i | ||||
\(633\) | 1.41201e10i | 0.0879471i | ||||||||
\(634\) | −6.13564e10 | − | 4.91198e10i | −0.379754 | − | 0.304018i | ||||
\(635\) | 1.26566e10 | − | 1.26566e10i | 0.0778434 | − | 0.0778434i | ||||
\(636\) | −5.00530e9 | − | 2.23176e10i | −0.0305915 | − | 0.136401i | ||||
\(637\) | 1.21525e10 | − | 1.21525e10i | 0.0738085 | − | 0.0738085i | ||||
\(638\) | −3.81713e10 | + | 4.22794e9i | −0.230385 | + | 0.0255180i | ||||
\(639\) | 3.30870e10i | 0.198451i | ||||||||
\(640\) | −2.37948e8 | + | 1.80115e10i | −0.00141828 | + | 0.107357i | ||||
\(641\) | 9.02125e10 | 0.534361 | 0.267180 | − | 0.963647i | \(-0.413908\pi\) | ||||
0.267180 | + | 0.963647i | \(0.413908\pi\) | |||||||
\(642\) | −7.99156e9 | − | 7.21506e10i | −0.0470426 | − | 0.424717i | ||||
\(643\) | −9.84072e10 | − | 9.84072e10i | −0.575682 | − | 0.575682i | 0.358028 | − | 0.933711i | \(-0.383449\pi\) |
−0.933711 | + | 0.358028i | \(0.883449\pi\) | |||||||
\(644\) | 3.64295e10 | − | 8.17026e9i | 0.211792 | − | 0.0474999i | ||||
\(645\) | 5.23255e9 | + | 5.23255e9i | 0.0302325 | + | 0.0302325i | ||||
\(646\) | 3.32229e11 | − | 4.14992e11i | 1.90769 | − | 2.38292i | ||||
\(647\) | 1.45755e11 | 0.831775 | 0.415888 | − | 0.909416i | \(-0.363471\pi\) | ||||
0.415888 | + | 0.909416i | \(0.363471\pi\) | |||||||
\(648\) | −6.36572e9 | − | 1.85280e10i | −0.0361033 | − | 0.105082i | ||||
\(649\) | 1.49017e11i | 0.839958i | ||||||||
\(650\) | 9.25512e10 | − | 1.15607e11i | 0.518476 | − | 0.647637i | ||||
\(651\) | −9.72818e10 | + | 9.72818e10i | −0.541636 | + | 0.541636i | ||||
\(652\) | 2.22862e11 | + | 1.41209e11i | 1.23323 | + | 0.781399i | ||||
\(653\) | −6.37258e10 | + | 6.37258e10i | −0.350480 | + | 0.350480i | −0.860288 | − | 0.509808i | \(-0.829716\pi\) |
0.509808 | + | 0.860288i | \(0.329716\pi\) | |||||||
\(654\) | 7.25332e9 | + | 6.54855e10i | 0.0396484 | + | 0.357960i | ||||
\(655\) | 1.57956e10i | 0.0858165i | ||||||||
\(656\) | −4.61946e10 | − | 9.78058e10i | −0.249445 | − | 0.528140i | ||||
\(657\) | 2.03615e10 | 0.109282 | ||||||||
\(658\) | −3.43128e11 | + | 3.80056e10i | −1.83043 | + | 0.202742i | ||||
\(659\) | −1.81802e10 | − | 1.81802e10i | −0.0963958 | − | 0.0963958i | 0.657264 | − | 0.753660i | \(-0.271714\pi\) |
−0.753660 | + | 0.657264i | \(0.771714\pi\) | |||||||
\(660\) | −1.71453e10 | − | 1.08636e10i | −0.0903587 | − | 0.0572529i | ||||
\(661\) | −2.15596e11 | − | 2.15596e11i | −1.12937 | − | 1.12937i | −0.990280 | − | 0.139089i | \(-0.955583\pi\) |
−0.139089 | − | 0.990280i | \(-0.544417\pi\) | |||||||
\(662\) | −5.77837e10 | − | 4.62596e10i | −0.300866 | − | 0.240863i | ||||
\(663\) | −1.58750e11 | −0.821598 | ||||||||
\(664\) | −3.20245e10 | + | 6.55477e10i | −0.164744 | + | 0.337198i | ||||
\(665\) | − | 3.53716e10i | − | 0.180871i | ||||||
\(666\) | 7.86812e10 | + | 6.29894e10i | 0.399921 | + | 0.320163i | ||||
\(667\) | 4.36054e9 | − | 4.36054e9i | 0.0220312 | − | 0.0220312i | ||||
\(668\) | −2.69931e11 | + | 6.05390e10i | −1.35565 | + | 0.304039i | ||||
\(669\) | 5.69336e10 | − | 5.69336e10i | 0.284226 | − | 0.284226i | ||||
\(670\) | 2.42171e10 | − | 2.68234e9i | 0.120177 | − | 0.0133111i | ||||
\(671\) | − | 1.97608e11i | − | 0.974796i | ||||||
\(672\) | −2.55283e10 | + | 1.07175e11i | −0.125183 | + | 0.525553i | ||||
\(673\) | −4.19618e10 | −0.204547 | −0.102274 | − | 0.994756i | \(-0.532612\pi\) | ||||
−0.102274 | + | 0.994756i | \(0.532612\pi\) | |||||||
\(674\) | 3.31130e10 | + | 2.98956e11i | 0.160457 | + | 1.44866i | ||||
\(675\) | 2.79243e10 | + | 2.79243e10i | 0.134514 | + | 0.134514i | ||||
\(676\) | −1.35089e10 | − | 6.02336e10i | −0.0646896 | − | 0.288438i | ||||
\(677\) | −2.76576e11 | − | 2.76576e11i | −1.31662 | − | 1.31662i | −0.916437 | − | 0.400180i | \(-0.868948\pi\) |
−0.400180 | − | 0.916437i | \(-0.631052\pi\) | |||||||
\(678\) | −7.05641e10 | + | 8.81429e10i | −0.333938 | + | 0.417127i | ||||
\(679\) | 1.12002e11 | 0.526921 | ||||||||
\(680\) | −1.70866e10 | + | 3.49729e10i | −0.0799136 | + | 0.163567i | ||||
\(681\) | − | 5.09117e10i | − | 0.236717i | ||||||
\(682\) | −3.30804e11 | + | 4.13213e11i | −1.52909 | + | 1.91001i | ||||
\(683\) | 3.63771e9 | − | 3.63771e9i | 0.0167165 | − | 0.0167165i | −0.698699 | − | 0.715416i | \(-0.746237\pi\) |
0.715416 | + | 0.698699i | \(0.246237\pi\) | |||||||
\(684\) | 7.03039e10 | − | 1.10956e11i | 0.321185 | − | 0.506905i | ||||
\(685\) | −1.49296e10 | + | 1.49296e10i | −0.0678088 | + | 0.0678088i | ||||
\(686\) | −2.56513e10 | − | 2.31589e11i | −0.115828 | − | 1.04573i | ||||
\(687\) | − | 3.60238e10i | − | 0.161720i | ||||||
\(688\) | 5.21405e10 | − | 1.45477e11i | 0.232713 | − | 0.649293i | ||||
\(689\) | −4.57954e10 | −0.203210 | ||||||||
\(690\) | 3.23937e9 | − | 3.58800e8i | 0.0142911 | − | 0.00158291i | ||||
\(691\) | −1.13936e11 | − | 1.13936e11i | −0.499745 | − | 0.499745i | 0.411613 | − | 0.911359i | \(-0.364965\pi\) |
−0.911359 | + | 0.411613i | \(0.864965\pi\) | |||||||
\(692\) | −4.51438e10 | + | 7.12475e10i | −0.196867 | + | 0.310703i | ||||
\(693\) | −8.77835e10 | − | 8.77835e10i | −0.380610 | − | 0.380610i | ||||
\(694\) | 6.97074e10 | + | 5.58053e10i | 0.300498 | + | 0.240568i | ||||
\(695\) | −1.32130e10 | −0.0566321 | ||||||||
\(696\) | 5.91306e9 | + | 1.72105e10i | 0.0251986 | + | 0.0733427i | ||||
\(697\) | − | 2.33732e11i | − | 0.990347i | ||||||
\(698\) | 2.16397e11 | + | 1.73240e11i | 0.911655 | + | 0.729839i | ||||
\(699\) | 5.51815e10 | − | 5.51815e10i | 0.231145 | − | 0.231145i | ||||
\(700\) | −4.86008e10 | − | 2.16701e11i | −0.202419 | − | 0.902544i | ||||
\(701\) | −3.28579e11 | + | 3.28579e11i | −1.36071 | + | 1.36071i | −0.487708 | + | 0.873007i | \(0.662167\pi\) |
−0.873007 | + | 0.487708i | \(0.837833\pi\) | |||||||
\(702\) | −3.89877e10 | + | 4.31836e9i | −0.160538 | + | 0.0177816i | ||||
\(703\) | 6.75770e11i | 2.76680i | ||||||||
\(704\) | −5.22262e10 | + | 4.20654e11i | −0.212617 | + | 1.71251i | ||||
\(705\) | −3.01372e10 | −0.121996 | ||||||||
\(706\) | −1.45136e10 | − | 1.31034e11i | −0.0584194 | − | 0.527431i | ||||
\(707\) | 2.21909e11 | + | 2.21909e11i | 0.888173 | + | 0.888173i | ||||
\(708\) | 6.88998e10 | − | 1.54526e10i | 0.274211 | − | 0.0614989i | ||||
\(709\) | −2.44267e11 | − | 2.44267e11i | −0.966676 | − | 0.966676i | 0.0327868 | − | 0.999462i | \(-0.489562\pi\) |
−0.999462 | + | 0.0327868i | \(0.989562\pi\) | |||||||
\(710\) | 1.01515e10 | − | 1.26804e10i | 0.0399483 | − | 0.0499001i | ||||
\(711\) | −9.13694e10 | −0.357538 | ||||||||
\(712\) | 1.93404e11 | − | 6.64483e10i | 0.752566 | − | 0.258561i | ||||
\(713\) | − | 8.49937e10i | − | 0.328873i | ||||||
\(714\) | −1.48785e11 | + | 1.85850e11i | −0.572488 | + | 0.715105i | ||||
\(715\) | −2.87370e10 | + | 2.87370e10i | −0.109955 | + | 0.109955i | ||||
\(716\) | −2.59128e11 | − | 1.64189e11i | −0.985968 | − | 0.624728i | ||||
\(717\) | −1.66859e11 | + | 1.66859e11i | −0.631355 | + | 0.631355i | ||||
\(718\) | 1.82894e9 | + | 1.65123e10i | 0.00688181 | + | 0.0621313i | ||||
\(719\) | − | 1.63434e11i | − | 0.611544i | −0.952105 | − | 0.305772i | \(-0.901086\pi\) | ||
0.952105 | − | 0.305772i | \(-0.0989145\pi\) | |||||||
\(720\) | −3.24499e9 | + | 9.05385e9i | −0.0120749 | + | 0.0336902i | ||||
\(721\) | −3.18673e11 | −1.17925 | ||||||||
\(722\) | 6.05265e11 | − | 6.70405e10i | 2.22739 | − | 0.246711i | ||||
\(723\) | 6.72164e10 | + | 6.72164e10i | 0.245993 | + | 0.245993i | ||||
\(724\) | 2.86831e11 | + | 1.81741e11i | 1.04393 | + | 0.661454i | ||||
\(725\) | −2.59387e10 | − | 2.59387e10i | −0.0938850 | − | 0.0938850i | ||||
\(726\) | −2.47657e11 | − | 1.98266e11i | −0.891464 | − | 0.713675i | ||||
\(727\) | 7.56518e9 | 0.0270821 | 0.0135410 | − | 0.999908i | \(-0.495690\pi\) | ||||
0.0135410 | + | 0.999908i | \(0.495690\pi\) | |||||||
\(728\) | 1.98204e11 | + | 9.68361e10i | 0.705645 | + | 0.344756i | ||||
\(729\) | − | 1.04604e10i | − | 0.0370370i | ||||||
\(730\) | −7.80343e9 | − | 6.24715e9i | −0.0274786 | − | 0.0219984i | ||||
\(731\) | 2.36129e11 | − | 2.36129e11i | 0.826951 | − | 0.826951i | ||||
\(732\) | −9.13661e10 | + | 2.04912e10i | −0.318230 | + | 0.0713713i | ||||
\(733\) | 1.76671e11 | − | 1.76671e11i | 0.611996 | − | 0.611996i | −0.331470 | − | 0.943466i | \(-0.607544\pi\) |
0.943466 | + | 0.331470i | \(0.107544\pi\) | |||||||
\(734\) | 4.96271e11 | − | 5.49680e10i | 1.70976 | − | 0.189376i | ||||
\(735\) | − | 2.24993e9i | − | 0.00770937i | ||||||
\(736\) | −3.56668e10 | − | 5.79705e10i | −0.121549 | − | 0.197559i | ||||
\(737\) | 5.73362e11 | 1.94339 | ||||||||
\(738\) | −6.35805e9 | − | 5.74027e10i | −0.0214338 | − | 0.193512i | ||||
\(739\) | 7.52469e10 | + | 7.52469e10i | 0.252296 | + | 0.252296i | 0.821912 | − | 0.569615i | \(-0.192908\pi\) |
−0.569615 | + | 0.821912i | \(0.692908\pi\) | |||||||
\(740\) | −1.08282e10 | − | 4.82808e10i | −0.0361102 | − | 0.161008i | ||||
\(741\) | −1.85972e11 | − | 1.85972e11i | −0.616842 | − | 0.616842i | ||||
\(742\) | −4.29208e10 | + | 5.36131e10i | −0.141596 | + | 0.176870i | ||||
\(743\) | −2.55902e11 | −0.839687 | −0.419844 | − | 0.907596i | \(-0.637915\pi\) | ||||
−0.419844 | + | 0.907596i | \(0.637915\pi\) | |||||||
\(744\) | 2.25357e11 | + | 1.10102e11i | 0.735494 | + | 0.359339i | ||||
\(745\) | − | 4.36036e10i | − | 0.141546i | ||||||
\(746\) | 2.96692e11 | − | 3.70603e11i | 0.957966 | − | 1.19661i | ||||
\(747\) | −2.75432e10 | + | 2.75432e10i | −0.0884569 | + | 0.0884569i | ||||
\(748\) | −4.90240e11 | + | 7.73715e11i | −1.56604 | + | 2.47158i | ||||
\(749\) | −1.54128e11 | + | 1.54128e11i | −0.489727 | + | 0.489727i | ||||
\(750\) | −4.29353e9 | − | 3.87635e10i | −0.0135697 | − | 0.122512i | ||||
\(751\) | − | 7.66881e10i | − | 0.241084i | −0.992708 | − | 0.120542i | \(-0.961537\pi\) | ||
0.992708 | − | 0.120542i | \(-0.0384632\pi\) | |||||||
\(752\) | 2.68788e11 | + | 5.69095e11i | 0.840503 | + | 1.77956i | ||||
\(753\) | 1.50740e11 | 0.468865 | ||||||||
\(754\) | 3.62154e10 | − | 4.01129e9i | 0.112049 | − | 0.0124108i | ||||
\(755\) | 6.73127e9 | + | 6.73127e9i | 0.0207161 | + | 0.0207161i | ||||
\(756\) | −3.14848e10 | + | 4.96905e10i | −0.0963861 | + | 0.152120i | ||||
\(757\) | 1.92715e11 | + | 1.92715e11i | 0.586857 | + | 0.586857i | 0.936779 | − | 0.349922i | \(-0.113792\pi\) |
−0.349922 | + | 0.936779i | \(0.613792\pi\) | |||||||
\(758\) | 3.04364e11 | + | 2.43663e11i | 0.921969 | + | 0.738096i | ||||
\(759\) | 7.66952e10 | 0.231101 | ||||||||
\(760\) | −6.09864e10 | + | 2.09533e10i | −0.182801 | + | 0.0628055i | ||||
\(761\) | 3.82780e11i | 1.14133i | 0.821183 | + | 0.570665i | \(0.193314\pi\) | ||||
−0.821183 | + | 0.570665i | \(0.806686\pi\) | |||||||
\(762\) | −1.55807e11 | − | 1.24734e11i | −0.462134 | − | 0.369968i | ||||
\(763\) | 1.39890e11 | − | 1.39890e11i | 0.412751 | − | 0.412751i | ||||
\(764\) | −5.55272e10 | − | 2.47584e11i | −0.162979 | − | 0.726690i | ||||
\(765\) | −1.46956e10 | + | 1.46956e10i | −0.0429084 | + | 0.0429084i | ||||
\(766\) | 4.92897e11 | − | 5.45944e10i | 1.43166 | − | 0.158574i | ||||
\(767\) | − | 1.41381e11i | − | 0.408518i | ||||||
\(768\) | 1.99910e11 | − | 1.94729e10i | 0.574631 | − | 0.0559740i | ||||
\(769\) | −6.55771e11 | −1.87520 | −0.937598 | − | 0.347722i | \(-0.886955\pi\) | ||||
−0.937598 | + | 0.347722i | \(0.886955\pi\) | |||||||
\(770\) | 6.70950e9 | + | 6.05757e10i | 0.0190865 | + | 0.172320i | ||||
\(771\) | −1.17521e11 | − | 1.17521e11i | −0.332580 | − | 0.332580i | ||||
\(772\) | −2.32858e11 | + | 5.22245e10i | −0.655575 | + | 0.147030i | ||||
\(773\) | −2.91283e11 | − | 2.91283e11i | −0.815826 | − | 0.815826i | 0.169675 | − | 0.985500i | \(-0.445728\pi\) |
−0.985500 | + | 0.169675i | \(0.945728\pi\) | |||||||
\(774\) | 5.15681e10 | − | 6.44146e10i | 0.143687 | − | 0.179482i | ||||
\(775\) | −5.05585e11 | −1.40148 | ||||||||
\(776\) | −6.63470e10 | − | 1.93109e11i | −0.182968 | − | 0.532544i | ||||
\(777\) | − | 3.02636e11i | − | 0.830303i | ||||||
\(778\) | −4.51422e9 | + | 5.63879e9i | −0.0123215 | + | 0.0153910i | ||||
\(779\) | 2.73811e11 | − | 2.73811e11i | 0.743535 | − | 0.743535i | ||||
\(780\) | 1.62668e10 | + | 1.03069e10i | 0.0439464 | + | 0.0278452i | ||||
\(781\) | 2.70284e11 | − | 2.70284e11i | 0.726468 | − | 0.726468i | ||||
\(782\) | −1.61915e10 | − | 1.46183e11i | −0.0432973 | − | 0.390903i | ||||
\(783\) | 9.71654e9i | 0.0258502i | ||||||||
\(784\) | −4.24864e10 | + | 2.00667e10i | −0.112457 | + | 0.0531144i | ||||
\(785\) | 2.18652e10 | 0.0575804 | ||||||||
\(786\) | 1.75059e11 | − | 1.93900e10i | 0.458665 | − | 0.0508027i | ||||
\(787\) | −2.10330e11 | − | 2.10330e11i | −0.548279 | − | 0.548279i | 0.377664 | − | 0.925943i | \(-0.376728\pi\) |
−0.925943 | + | 0.377664i | \(0.876728\pi\) | |||||||
\(788\) | −3.23860e10 | − | 2.05204e10i | −0.0839947 | − | 0.0532206i | ||||
\(789\) | −2.58106e11 | − | 2.58106e11i | −0.666025 | − | 0.666025i | ||||
\(790\) | 3.50169e10 | + | 2.80333e10i | 0.0899019 | + | 0.0719724i | ||||
\(791\) | 3.39029e11 | 0.866027 | ||||||||
\(792\) | −9.93522e10 | + | 2.03354e11i | −0.252509 | + | 0.516835i | ||||
\(793\) | 1.87482e11i | 0.474097i | ||||||||
\(794\) | −3.11835e11 | − | 2.49644e11i | −0.784590 | − | 0.628115i | ||||
\(795\) | −4.23932e9 | + | 4.23932e9i | −0.0106127 | + | 0.0106127i | ||||
\(796\) | 3.80313e11 | − | 8.52950e10i | 0.947303 | − | 0.212457i | ||||
\(797\) | 4.56045e11 | − | 4.56045e11i | 1.13025 | − | 1.13025i | 0.140114 | − | 0.990135i | \(-0.455253\pi\) |
0.990135 | − | 0.140114i | \(-0.0447470\pi\) | |||||||
\(798\) | −3.92016e11 | + | 4.34206e10i | −0.966702 | + | 0.107074i | ||||
\(799\) | 1.36000e12i | 3.33696i | ||||||||
\(800\) | −3.44838e11 | + | 2.12164e11i | −0.841889 | + | 0.517978i | ||||
\(801\) | 1.09190e11 | 0.265248 | ||||||||
\(802\) | −6.58940e8 | − | 5.94914e9i | −0.00159275 | − | 0.0143799i | ||||
\(803\) | −1.66330e11 | − | 1.66330e11i | −0.400045 | − | 0.400045i | ||||
\(804\) | −5.94556e10 | − | 2.65100e11i | −0.142288 | − | 0.634434i | ||||
\(805\) | −6.91994e9 | − | 6.91994e9i | −0.0164785 | − | 0.0164785i | ||||
\(806\) | 3.13853e11 | − | 3.92040e11i | 0.743681 | − | 0.928945i | ||||
\(807\) | 2.17096e11 | 0.511868 | ||||||||
\(808\) | 2.51154e11 | − | 5.14061e11i | 0.589243 | − | 1.20606i | ||||
\(809\) | − | 1.82376e11i | − | 0.425768i | −0.977077 | − | 0.212884i | \(-0.931714\pi\) | ||
0.977077 | − | 0.212884i | \(-0.0682857\pi\) | |||||||
\(810\) | −3.20937e9 | + | 4.00888e9i | −0.00745555 | + | 0.00931286i | ||||
\(811\) | 3.52659e11 | − | 3.52659e11i | 0.815213 | − | 0.815213i | −0.170197 | − | 0.985410i | \(-0.554440\pi\) |
0.985410 | + | 0.170197i | \(0.0544403\pi\) | |||||||
\(812\) | 2.92460e10 | − | 4.61571e10i | 0.0672733 | − | 0.106173i | ||||
\(813\) | −9.01210e10 | + | 9.01210e10i | −0.206283 | + | 0.206283i | ||||
\(814\) | −1.28184e11 | − | 1.15729e12i | −0.291969 | − | 2.63600i | ||||
\(815\) | − | 6.91568e10i | − | 0.156749i | ||||||
\(816\) | 4.08572e11 | + | 1.46437e11i | 0.921527 | + | 0.330285i | ||||
\(817\) | 5.53238e11 | 1.24172 | ||||||||
\(818\) | −4.77848e11 | + | 5.29276e10i | −1.06728 | + | 0.118214i | ||||
\(819\) | 8.32854e10 | + | 8.32854e10i | 0.185111 | + | 0.185111i | ||||
\(820\) | −1.51752e10 | + | 2.39500e10i | −0.0335644 | + | 0.0529725i | ||||
\(821\) | −2.25647e11 | − | 2.25647e11i | −0.496658 | − | 0.496658i | 0.413738 | − | 0.910396i | \(-0.364223\pi\) |
−0.910396 | + | 0.413738i | \(0.864223\pi\) | |||||||
\(822\) | 1.83789e11 | + | 1.47135e11i | 0.402561 | + | 0.322277i | ||||
\(823\) | 8.52445e11 | 1.85809 | 0.929045 | − | 0.369966i | \(-0.120631\pi\) | ||||
0.929045 | + | 0.369966i | \(0.120631\pi\) | |||||||
\(824\) | 1.88774e11 | + | 5.49444e11i | 0.409481 | + | 1.19183i | ||||
\(825\) | − | 4.56221e11i | − | 0.984826i | ||||||
\(826\) | −1.65516e11 | − | 1.32507e11i | −0.355566 | − | 0.284654i | ||||
\(827\) | 1.73742e11 | − | 1.73742e11i | 0.371436 | − | 0.371436i | −0.496564 | − | 0.868000i | \(-0.665405\pi\) |
0.868000 | + | 0.496564i | \(0.165405\pi\) | |||||||
\(828\) | −7.95302e9 | − | 3.54609e10i | −0.0169204 | − | 0.0754446i | ||||
\(829\) | −2.84585e11 | + | 2.84585e11i | −0.602550 | + | 0.602550i | −0.940989 | − | 0.338438i | \(-0.890101\pi\) |
0.338438 | + | 0.940989i | \(0.390101\pi\) | |||||||
\(830\) | 1.90064e10 | − | 2.10519e9i | 0.0400486 | − | 0.00443587i | ||||
\(831\) | − | 1.19805e11i | − | 0.251230i | ||||||
\(832\) | 4.95500e10 | − | 3.99099e11i | 0.103407 | − | 0.832889i | ||||
\(833\) | −1.01532e11 | −0.210874 | ||||||||
\(834\) | 1.62197e10 | + | 1.46437e11i | 0.0335258 | + | 0.302683i | ||||
\(835\) | 5.12744e10 | + | 5.12744e10i | 0.105476 | + | 0.105476i | ||||
\(836\) | −1.48069e12 | + | 3.32084e11i | −3.03137 | + | 0.679864i | ||||
\(837\) | 9.46951e10 | + | 9.46951e10i | 0.192942 | + | 0.192942i | ||||
\(838\) | 8.54252e10 | − | 1.06706e11i | 0.173225 | − | 0.216378i | ||||
\(839\) | −9.13957e11 | −1.84450 | −0.922248 | − | 0.386598i | \(-0.873650\pi\) | ||||
−0.922248 | + | 0.386598i | \(0.873650\pi\) | |||||||
\(840\) | 2.73121e10 | − | 9.38370e9i | 0.0548577 | − | 0.0188476i | ||||
\(841\) | 4.91221e11i | 0.981958i | ||||||||
\(842\) | −1.03199e11 | + | 1.28907e11i | −0.205318 | + | 0.256466i | ||||
\(843\) | −2.10728e11 | + | 2.10728e11i | −0.417264 | + | 0.417264i | ||||
\(844\) | −6.52920e10 | − | 4.13702e10i | −0.128674 | − | 0.0815301i | ||||
\(845\) | −1.14416e10 | + | 1.14416e10i | −0.0224419 | + | 0.0224419i | ||||
\(846\) | 3.69951e10 | + | 3.34004e11i | 0.0722208 | + | 0.652035i | ||||
\(847\) | 9.52578e11i | 1.85083i | ||||||||
\(848\) | 1.17863e11 | + | 4.22433e10i | 0.227926 | + | 0.0816910i | ||||
\(849\) | 5.07124e11 | 0.976075 | ||||||||
\(850\) | −8.69569e11 | + | 9.63154e10i | −1.66582 | + | 0.184510i | ||||
\(851\) | 1.32204e11 | + | 1.32204e11i | 0.252074 | + | 0.252074i | ||||
\(852\) | −1.52996e11 | − | 9.69413e10i | −0.290351 | − | 0.183972i | ||||
\(853\) | −1.99237e11 | − | 1.99237e11i | −0.376335 | − | 0.376335i | 0.493443 | − | 0.869778i | \(-0.335738\pi\) |
−0.869778 | + | 0.493443i | \(0.835738\pi\) | |||||||
\(854\) | 2.19487e11 | + | 1.75714e11i | 0.412645 | + | 0.330350i | ||||
\(855\) | −3.44311e10 | −0.0644297 | ||||||||
\(856\) | 3.57043e11 | + | 1.74440e11i | 0.665006 | + | 0.324901i | ||||
\(857\) | 3.49315e11i | 0.647580i | 0.946129 | + | 0.323790i | \(0.104957\pi\) | ||||
−0.946129 | + | 0.323790i | \(0.895043\pi\) | |||||||
\(858\) | 3.53762e11 | + | 2.83210e11i | 0.652773 | + | 0.522587i | ||||
\(859\) | 3.89887e11 | − | 3.89887e11i | 0.716088 | − | 0.716088i | −0.251714 | − | 0.967802i | \(-0.580994\pi\) |
0.967802 | + | 0.251714i | \(0.0809941\pi\) | |||||||
\(860\) | −3.95264e10 | + | 8.86482e9i | −0.0722593 | + | 0.0162060i | ||||
\(861\) | −1.22623e11 | + | 1.22623e11i | −0.223132 | + | 0.223132i | ||||
\(862\) | −4.29359e11 | + | 4.75567e10i | −0.777663 | + | 0.0861356i | ||||
\(863\) | − | 1.65970e11i | − | 0.299218i | −0.988745 | − | 0.149609i | \(-0.952199\pi\) | ||
0.988745 | − | 0.149609i | \(-0.0478014\pi\) | |||||||
\(864\) | 1.04325e11 | + | 2.48495e10i | 0.187213 | + | 0.0445926i | ||||
\(865\) | 2.21090e10 | 0.0394916 | ||||||||
\(866\) | 4.71988e10 | + | 4.26127e11i | 0.0839188 | + | 0.757648i | ||||
\(867\) | 4.32493e11 | + | 4.32493e11i | 0.765425 | + | 0.765425i | ||||
\(868\) | −1.64812e11 | − | 7.34862e11i | −0.290342 | − | 1.29457i | ||||
\(869\) | 7.46386e11 | + | 7.46386e11i | 1.30883 | + | 1.30883i | ||||
\(870\) | 2.98116e9 | − | 3.72382e9i | 0.00520365 | − | 0.00649997i | ||||
\(871\) | −5.43982e11 | −0.945175 | ||||||||
\(872\) | −3.24060e11 | − | 1.58326e11i | −0.560480 | − | 0.273833i | ||||
\(873\) | − | 1.09024e11i | − | 0.187700i | ||||||
\(874\) | 1.52282e11 | − | 1.90217e11i | 0.260977 | − | 0.325990i | ||||
\(875\) | −8.28065e10 | + | 8.28065e10i | −0.141264 | + | 0.141264i | ||||
\(876\) | −5.96568e10 | + | 9.41525e10i | −0.101308 | + | 0.159888i | ||||
\(877\) | −3.63425e10 | + | 3.63425e10i | −0.0614352 | + | 0.0614352i | −0.737157 | − | 0.675722i | \(-0.763832\pi\) |
0.675722 | + | 0.737157i | \(0.263832\pi\) | |||||||
\(878\) | −5.97115e8 | − | 5.39096e9i | −0.00100480 | − | 0.00907169i | ||||
\(879\) | − | 5.00049e11i | − | 0.837640i | ||||||
\(880\) | 1.00468e11 | − | 4.74518e10i | 0.167531 | − | 0.0791265i | ||||
\(881\) | 2.60623e11 | 0.432622 | 0.216311 | − | 0.976324i | \(-0.430597\pi\) | ||||
0.216311 | + | 0.976324i | \(0.430597\pi\) | |||||||
\(882\) | −2.49355e10 | + | 2.76191e9i | −0.0412044 | + | 0.00456389i | ||||
\(883\) | 2.51693e11 | + | 2.51693e11i | 0.414027 | + | 0.414027i | 0.883139 | − | 0.469112i | \(-0.155426\pi\) |
−0.469112 | + | 0.883139i | \(0.655426\pi\) | |||||||
\(884\) | 4.65120e11 | − | 7.34069e11i | 0.761651 | − | 1.20206i | ||||
\(885\) | −1.30878e10 | − | 1.30878e10i | −0.0213350 | − | 0.0213350i | ||||
\(886\) | 1.24277e11 | + | 9.94918e10i | 0.201677 | + | 0.161455i | ||||
\(887\) | 7.54905e9 | 0.0121955 | 0.00609773 | − | 0.999981i | \(-0.498059\pi\) | ||||
0.00609773 | + | 0.999981i | \(0.498059\pi\) | |||||||
\(888\) | −5.21794e11 | + | 1.79274e11i | −0.839165 | + | 0.288314i | ||||
\(889\) | 5.99290e11i | 0.959468i | ||||||||
\(890\) | −4.18465e10 | − | 3.35009e10i | −0.0666959 | − | 0.0533944i | ||||
\(891\) | −8.54494e10 | + | 8.54494e10i | −0.135581 | + | 0.135581i | ||||
\(892\) | 9.64551e10 | + | 4.30073e11i | 0.152358 | + | 0.679334i | ||||
\(893\) | −1.59320e12 | + | 1.59320e12i | −2.50533 | + | 2.50533i | ||||
\(894\) | −4.83250e11 | + | 5.35258e10i | −0.756522 | + | 0.0837940i | ||||
\(895\) | 8.04108e10i | 0.125321i | ||||||||
\(896\) | −4.20789e11 | − | 4.32055e11i | −0.652878 | − | 0.670359i | ||||
\(897\) | −7.27652e10 | −0.112397 | ||||||||
\(898\) | 4.60162e10 | + | 4.15450e11i | 0.0707628 | + | 0.638871i | ||||
\(899\) | −8.79616e10 | − | 8.79616e10i | −0.134665 | − | 0.134665i | ||||
\(900\) | −2.10939e11 | + | 4.73085e10i | −0.321504 | + | 0.0721057i | ||||
\(901\) | 1.91307e11 | + | 1.91307e11i | 0.290290 | + | 0.290290i | ||||
\(902\) | −4.16978e11 | + | 5.20854e11i | −0.629922 | + | 0.786847i | ||||
\(903\) | −2.47762e11 | −0.372635 | ||||||||
\(904\) | −2.00833e11 | − | 5.84541e11i | −0.300719 | − | 0.875269i | ||||
\(905\) | − | 8.90072e10i | − | 0.132688i | ||||||
\(906\) | 6.63383e10 | − | 8.28643e10i | 0.0984581 | − | 0.122986i | ||||
\(907\) | −1.55079e11 | + | 1.55079e11i | −0.229152 | + | 0.229152i | −0.812338 | − | 0.583187i | \(-0.801806\pi\) |
0.583187 | + | 0.812338i | \(0.301806\pi\) | |||||||
\(908\) | 2.35419e11 | + | 1.49166e11i | 0.346336 | + | 0.219445i | ||||
\(909\) | 2.16009e11 | − | 2.16009e11i | 0.316385 | − | 0.316385i | ||||
\(910\) | −6.36570e9 | − | 5.74717e10i | −0.00928283 | − | 0.0838086i | ||||
\(911\) | − | 3.98458e11i | − | 0.578507i | −0.957253 | − | 0.289254i | \(-0.906593\pi\) | ||
0.957253 | − | 0.289254i | \(-0.0934071\pi\) | |||||||
\(912\) | 3.07085e11 | + | 6.50178e11i | 0.443894 | + | 0.939838i | ||||
\(913\) | 4.49994e11 | 0.647625 | ||||||||
\(914\) | 9.17714e11 | − | 1.01648e11i | 1.31499 | − | 0.145651i | ||||
\(915\) | 1.73554e10 | + | 1.73554e10i | 0.0247599 | + | 0.0247599i | ||||
\(916\) | 1.66576e11 | + | 1.05546e11i | 0.236609 | + | 0.149920i | ||||
\(917\) | −3.73961e11 | − | 3.73961e11i | −0.528870 | − | 0.528870i | ||||
\(918\) | 1.80908e11 | + | 1.44829e11i | 0.254735 | + | 0.203932i | ||||
\(919\) | −2.48640e11 | −0.348585 | −0.174292 | − | 0.984694i | \(-0.555764\pi\) | ||||
−0.174292 | + | 0.984694i | \(0.555764\pi\) | |||||||
\(920\) | −7.83189e9 | + | 1.60303e10i | −0.0109324 | + | 0.0223764i | ||||
\(921\) | − | 3.65025e11i | − | 0.507322i | ||||||
\(922\) | −1.52450e11 | − | 1.22046e11i | −0.210962 | − | 0.168889i | ||||
\(923\) | −2.56434e11 | + | 2.56434e11i | −0.353321 | + | 0.353321i | ||||
\(924\) | 6.63112e11 | − | 1.48720e11i | 0.909702 | − | 0.204024i | ||||
\(925\) | 7.86418e11 | − | 7.86418e11i | 1.07420 | − | 1.07420i | ||||
\(926\) | −8.52030e11 | + | 9.43728e10i | −1.15881 | + | 0.128352i | ||||
\(927\) | 3.10200e11i | 0.420071i | ||||||||
\(928\) | −9.69070e10 | − | 2.30825e10i | −0.130666 | − | 0.0311237i | ||||
\(929\) | 7.69981e11 | 1.03375 | 0.516877 | − | 0.856060i | \(-0.327094\pi\) | ||||
0.516877 | + | 0.856060i | \(0.327094\pi\) | |||||||
\(930\) | −7.23777e9 | − | 6.53451e10i | −0.00967549 | − | 0.0873537i | ||||
\(931\) | −1.18942e11 | − | 1.18942e11i | −0.158321 | − | 0.158321i | ||||
\(932\) | 9.34867e10 | + | 4.16838e11i | 0.123904 | + | 0.552464i | ||||
\(933\) | −1.80687e11 | − | 1.80687e11i | −0.238452 | − | 0.238452i | ||||
\(934\) | 6.95013e11 | − | 8.68153e11i | 0.913284 | − | 1.14080i | ||||
\(935\) | 2.40094e11 | 0.314148 | ||||||||
\(936\) | 9.42613e10 | − | 1.92934e11i | 0.122809 | − | 0.251365i | ||||
\(937\) | 1.30062e11i | 0.168730i | 0.996435 | + | 0.0843650i | \(0.0268862\pi\) | ||||
−0.996435 | + | 0.0843650i | \(0.973114\pi\) | |||||||
\(938\) | −5.09836e11 | + | 6.36845e11i | −0.658596 | + | 0.822664i | ||||
\(939\) | 1.37502e9 | − | 1.37502e9i | 0.00176867 | − | 0.00176867i | ||||
\(940\) | 8.82986e10 | − | 1.39356e11i | 0.113095 | − | 0.178490i | ||||
\(941\) | 4.72398e11 | − | 4.72398e11i | 0.602490 | − | 0.602490i | −0.338483 | − | 0.940973i | \(-0.609914\pi\) |
0.940973 | + | 0.338483i | \(0.109914\pi\) | |||||||
\(942\) | −2.68407e10 | − | 2.42327e11i | −0.0340871 | − | 0.307751i | ||||
\(943\) | − | 1.07134e11i | − | 0.135482i | ||||||
\(944\) | −1.30415e11 | + | 3.63871e11i | −0.164225 | + | 0.458204i | ||||
\(945\) | 1.54196e10 | 0.0193351 | ||||||||
\(946\) | −9.47448e11 | + | 1.04941e11i | −1.18302 | + | 0.131034i | ||||
\(947\) | −8.20303e11 | − | 8.20303e11i | −1.01994 | − | 1.01994i | −0.999797 | − | 0.0201428i | \(-0.993588\pi\) |
−0.0201428 | − | 0.999797i | \(-0.506412\pi\) | |||||||
\(948\) | 2.67702e11 | − | 4.22497e11i | 0.331450 | − | 0.523107i | ||||
\(949\) | 1.57807e11 | + | 1.57807e11i | 0.194564 | + | 0.194564i | ||||
\(950\) | −1.13151e12 | − | 9.05846e11i | −1.38920 | − | 1.11214i | ||||
\(951\) | 2.29724e11 | 0.280856 | ||||||||
\(952\) | −4.23457e11 | − | 1.23251e12i | −0.515539 | − | 1.50052i | ||||
\(953\) | 6.58637e11i | 0.798499i | 0.916842 | + | 0.399249i | \(0.130729\pi\) | ||||
−0.916842 | + | 0.399249i | \(0.869271\pi\) | |||||||
\(954\) | 5.21875e10 | + | 4.17795e10i | 0.0630047 | + | 0.0504394i | ||||
\(955\) | −4.70296e10 | + | 4.70296e10i | −0.0565403 | + | 0.0565403i | ||||
\(956\) | −2.82688e11 | − | 1.26045e12i | −0.338435 | − | 1.50901i | ||||
\(957\) | 7.93733e10 | − | 7.93733e10i | 0.0946295 | − | 0.0946295i | ||||
\(958\) | 4.57668e11 | − | 5.06924e10i | 0.543362 | − | 0.0601839i | ||||
\(959\) | − | 7.06918e11i | − | 0.835785i | ||||||
\(960\) | −3.23580e10 | − | 4.15318e10i | −0.0380976 | − | 0.0488985i | ||||
\(961\) | −8.61615e11 | −1.01023 | ||||||||
\(962\) | 1.21616e11 | + | 1.09799e12i | 0.142000 | + | 1.28203i | ||||
\(963\) | 1.50030e11 | + | 1.50030e11i | 0.174450 | + | 0.174450i | ||||
\(964\) | −5.07750e11 | + | 1.13876e11i | −0.587951 | + | 0.131863i | ||||
\(965\) | 4.42324e10 | + | 4.42324e10i | 0.0510072 | + | 0.0510072i | ||||
\(966\) | −6.81977e10 | + | 8.51869e10i | −0.0783179 | + | 0.0978282i | ||||
\(967\) | 5.65580e11 | 0.646826 | 0.323413 | − | 0.946258i | \(-0.395170\pi\) | ||||
0.323413 | + | 0.946258i | \(0.395170\pi\) | |||||||
\(968\) | 1.64240e12 | − | 5.64284e11i | 1.87058 | − | 0.642682i | ||||
\(969\) | 1.55377e12i | 1.76235i | ||||||||
\(970\) | −3.34498e10 | + | 4.17828e10i | −0.0377839 | + | 0.0471965i | ||||
\(971\) | 2.05378e11 | − | 2.05378e11i | 0.231034 | − | 0.231034i | −0.582090 | − | 0.813124i | \(-0.697765\pi\) |
0.813124 | + | 0.582090i | \(0.197765\pi\) | |||||||
\(972\) | 4.83693e10 | + | 3.06477e10i | 0.0541882 | + | 0.0343346i | ||||
\(973\) | 3.12819e11 | − | 3.12819e11i | 0.349013 | − | 0.349013i | ||||
\(974\) | 2.39387e10 | + | 2.16127e11i | 0.0265990 | + | 0.240145i | ||||
\(975\) | 4.32844e11i | 0.478975i | ||||||||
\(976\) | 1.72940e11 | − | 4.82519e11i | 0.190588 | − | 0.531760i | ||||
\(977\) | 4.40237e11 | 0.483179 | 0.241589 | − | 0.970379i | \(-0.422331\pi\) | ||||
0.241589 | + | 0.970379i | \(0.422331\pi\) | |||||||
\(978\) | −7.66451e11 | + | 8.48938e10i | −0.837778 | + | 0.0927941i | ||||
\(979\) | −8.91960e11 | − | 8.91960e11i | −0.970989 | − | 0.970989i | ||||
\(980\) | 1.04038e10 | + | 6.59204e9i | 0.0112794 | + | 0.00714686i | ||||
\(981\) | −1.36170e11 | − | 1.36170e11i | −0.147030 | − | 0.147030i | ||||
\(982\) | 1.29987e12 | + | 1.04063e12i | 1.39783 | + | 1.11905i | ||||
\(983\) | −1.88557e11 | −0.201943 | −0.100971 | − | 0.994889i | \(-0.532195\pi\) | ||||
−0.100971 | + | 0.994889i | \(0.532195\pi\) | |||||||
\(984\) | 2.84062e11 | + | 1.38784e11i | 0.302993 | + | 0.148033i | ||||
\(985\) | 1.00498e10i | 0.0106761i | ||||||||
\(986\) | −1.68044e11 | − | 1.34530e11i | −0.177794 | − | 0.142335i | ||||
\(987\) | 7.13499e11 | − | 7.13499e11i | 0.751839 | − | 0.751839i | ||||
\(988\) | 1.40482e12 | − | 3.15067e11i | 1.47432 | − | 0.330655i | ||||
\(989\) | 1.08233e11 | − | 1.08233e11i | 0.113129 | − | 0.113129i | ||||
\(990\) | 5.89650e10 | − | 6.53110e9i | 0.0613838 | − | 0.00679900i | ||||
\(991\) | − | 1.09480e12i | − | 1.13512i | −0.823332 | − | 0.567560i | \(-0.807888\pi\) | ||
0.823332 | − | 0.567560i | \(-0.192112\pi\) | |||||||
\(992\) | −1.16939e12 | + | 7.19476e11i | −1.20757 | + | 0.742967i | ||||
\(993\) | 2.16347e11 | 0.222513 | ||||||||
\(994\) | 5.98722e10 | + | 5.40548e11i | 0.0613310 | + | 0.553718i | ||||
\(995\) | −7.22420e10 | − | 7.22420e10i | −0.0737051 | − | 0.0737051i | ||||
\(996\) | −4.66628e10 | − | 2.08060e11i | −0.0474169 | − | 0.211422i | ||||
\(997\) | 1.24391e12 | + | 1.24391e12i | 1.25895 | + | 1.25895i | 0.951597 | + | 0.307348i | \(0.0994416\pi\) |
0.307348 | + | 0.951597i | \(0.400558\pi\) | |||||||
\(998\) | −2.56034e11 | + | 3.19816e11i | −0.258092 | + | 0.322387i | ||||
\(999\) | −2.94589e11 | −0.295771 |
(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 | 48.9.l.a.43.16 | yes | 64 | |
4.3 | odd | 2 | 192.9.l.a.79.11 | 64 | |||
16.3 | odd | 4 | inner | 48.9.l.a.19.16 | ✓ | 64 | |
16.13 | even | 4 | 192.9.l.a.175.11 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
48.9.l.a.19.16 | ✓ | 64 | 16.3 | odd | 4 | inner | |
48.9.l.a.43.16 | yes | 64 | 1.1 | even | 1 | trivial | |
192.9.l.a.79.11 | 64 | 4.3 | odd | 2 | |||
192.9.l.a.175.11 | 64 | 16.13 | even | 4 |