Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [32,8,Mod(5,32)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(32, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("32.5");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 32 = 2^{5} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 32.g (of order \(8\), degree \(4\), 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: | \(9.99632081549\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 13.4 | ||
Character | \(\chi\) | \(=\) | 32.13 |
Dual form | 32.8.g.a.5.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −10.3072 | − | 4.66502i | −0.911033 | − | 0.412333i | ||||
\(3\) | 9.79359 | − | 23.6438i | 0.209420 | − | 0.505584i | −0.783913 | − | 0.620871i | \(-0.786779\pi\) |
0.993332 | + | 0.115288i | \(0.0367790\pi\) | |||||||
\(4\) | 84.4752 | + | 96.1662i | 0.659962 | + | 0.751299i | ||||
\(5\) | 215.611 | − | 89.3089i | 0.771392 | − | 0.319521i | 0.0379561 | − | 0.999279i | \(-0.487915\pi\) |
0.733436 | + | 0.679758i | \(0.237915\pi\) | |||||||
\(6\) | −211.243 | + | 198.013i | −0.399257 | + | 0.374253i | ||||
\(7\) | −1104.78 | + | 1104.78i | −1.21740 | + | 1.21740i | −0.248860 | + | 0.968540i | \(0.580056\pi\) |
−0.968540 | + | 0.248860i | \(0.919944\pi\) | |||||||
\(8\) | −422.082 | − | 1385.28i | −0.291462 | − | 0.956582i | ||||
\(9\) | 1083.33 | + | 1083.33i | 0.495348 | + | 0.495348i | ||||
\(10\) | −2638.96 | − | 85.3073i | −0.834513 | − | 0.0269765i | ||||
\(11\) | 334.276 | + | 807.013i | 0.0757235 | + | 0.182813i | 0.957208 | − | 0.289400i | \(-0.0934556\pi\) |
−0.881485 | + | 0.472212i | \(0.843456\pi\) | |||||||
\(12\) | 3101.05 | − | 1055.50i | 0.518053 | − | 0.176329i | ||||
\(13\) | 8883.52 | + | 3679.67i | 1.12146 | + | 0.464523i | 0.864869 | − | 0.501997i | \(-0.167401\pi\) |
0.256589 | + | 0.966521i | \(0.417401\pi\) | |||||||
\(14\) | 16541.0 | − | 6233.33i | 1.61107 | − | 0.607117i | ||||
\(15\) | − | 5972.51i | − | 0.456917i | ||||||
\(16\) | −2111.89 | + | 16247.3i | −0.128900 | + | 0.991658i | ||||
\(17\) | − | 28083.3i | − | 1.38636i | −0.720763 | − | 0.693181i | \(-0.756208\pi\) | ||
0.720763 | − | 0.693181i | \(-0.243792\pi\) | |||||||
\(18\) | −6112.28 | − | 16219.8i | −0.247030 | − | 0.655528i | ||||
\(19\) | 50934.0 | + | 21097.6i | 1.70361 | + | 0.705659i | 0.999988 | − | 0.00491379i | \(-0.00156412\pi\) |
0.703624 | + | 0.710573i | \(0.251564\pi\) | |||||||
\(20\) | 26802.3 | + | 13190.1i | 0.749146 | + | 0.368674i | ||||
\(21\) | 15301.5 | + | 36941.0i | 0.360550 | + | 0.870445i | ||||
\(22\) | 319.298 | − | 9877.42i | 0.00639318 | − | 0.197772i | ||||
\(23\) | 32277.1 | + | 32277.1i | 0.553155 | + | 0.553155i | 0.927350 | − | 0.374195i | \(-0.122081\pi\) |
−0.374195 | + | 0.927350i | \(0.622081\pi\) | |||||||
\(24\) | −36887.0 | − | 3587.23i | −0.544670 | − | 0.0529688i | ||||
\(25\) | −16730.8 | + | 16730.8i | −0.214154 | + | 0.214154i | ||||
\(26\) | −74398.1 | − | 79368.8i | −0.830147 | − | 0.885611i | ||||
\(27\) | 87932.7 | − | 36422.9i | 0.859760 | − | 0.356124i | ||||
\(28\) | −199569. | − | 12916.1i | −1.71807 | − | 0.111193i | ||||
\(29\) | 29095.0 | − | 70241.5i | 0.221526 | − | 0.534811i | −0.773571 | − | 0.633709i | \(-0.781532\pi\) |
0.995098 | + | 0.0988976i | \(0.0315316\pi\) | |||||||
\(30\) | −27861.9 | + | 61559.7i | −0.188402 | + | 0.416267i | ||||
\(31\) | −191917. | −1.15704 | −0.578520 | − | 0.815668i | \(-0.696369\pi\) | ||||
−0.578520 | + | 0.815668i | \(0.696369\pi\) | |||||||
\(32\) | 97561.7 | − | 157612.i | 0.526325 | − | 0.850283i | ||||
\(33\) | 22354.6 | 0.108285 | ||||||||
\(34\) | −131009. | + | 289459.i | −0.571644 | + | 1.26302i | ||||
\(35\) | −139536. | + | 336869.i | −0.550108 | + | 1.32808i | ||||
\(36\) | −12665.3 | + | 195694.i | −0.0452434 | + | 0.699066i | ||||
\(37\) | 100671. | − | 41699.2i | 0.326737 | − | 0.135339i | −0.213285 | − | 0.976990i | \(-0.568416\pi\) |
0.540021 | + | 0.841651i | \(0.318416\pi\) | |||||||
\(38\) | −426565. | − | 455064.i | −1.26108 | − | 1.34533i | ||||
\(39\) | 174003. | − | 174003.i | 0.469711 | − | 0.469711i | ||||
\(40\) | −214723. | − | 260985.i | −0.530480 | − | 0.644772i | ||||
\(41\) | 531029. | + | 531029.i | 1.20330 | + | 1.20330i | 0.973156 | + | 0.230148i | \(0.0739209\pi\) |
0.230148 | + | 0.973156i | \(0.426079\pi\) | |||||||
\(42\) | 14615.9 | − | 452139.i | 0.0304405 | − | 0.941671i | ||||
\(43\) | −18772.2 | − | 45320.0i | −0.0360060 | − | 0.0869262i | 0.904854 | − | 0.425723i | \(-0.139980\pi\) |
−0.940860 | + | 0.338797i | \(0.889980\pi\) | |||||||
\(44\) | −49369.4 | + | 100319.i | −0.0873723 | + | 0.177540i | ||||
\(45\) | 330328. | + | 136826.i | 0.540382 | + | 0.223834i | ||||
\(46\) | −182112. | − | 483258.i | −0.275858 | − | 0.732027i | ||||
\(47\) | 839218.i | 1.17905i | 0.807750 | + | 0.589525i | \(0.200685\pi\) | ||||
−0.807750 | + | 0.589525i | \(0.799315\pi\) | |||||||
\(48\) | 363466. | + | 209053.i | 0.474372 | + | 0.272842i | ||||
\(49\) | − | 1.61754e6i | − | 1.96412i | ||||||
\(50\) | 250497. | − | 94397.6i | 0.283405 | − | 0.106799i | ||||
\(51\) | −663996. | − | 275036.i | −0.700922 | − | 0.290332i | ||||
\(52\) | 396576. | + | 1.16514e6i | 0.391124 | + | 1.14912i | ||||
\(53\) | 36572.2 | + | 88293.2i | 0.0337432 | + | 0.0814632i | 0.939853 | − | 0.341580i | \(-0.110962\pi\) |
−0.906110 | + | 0.423043i | \(0.860962\pi\) | |||||||
\(54\) | −1.07625e6 | − | 34790.9i | −0.930111 | − | 0.0300668i | ||||
\(55\) | 144147. | + | 144147.i | 0.116825 | + | 0.116825i | ||||
\(56\) | 1.99674e6 | + | 1.06412e6i | 1.51937 | + | 0.809717i | ||||
\(57\) | 997654. | − | 997654.i | 0.713539 | − | 0.713539i | ||||
\(58\) | −627565. | + | 588262.i | −0.422338 | + | 0.395888i | ||||
\(59\) | −892154. | + | 369542.i | −0.565533 | + | 0.234251i | −0.647085 | − | 0.762418i | \(-0.724012\pi\) |
0.0815523 | + | 0.996669i | \(0.474012\pi\) | |||||||
\(60\) | 574354. | − | 504529.i | 0.343281 | − | 0.301548i | ||||
\(61\) | −423062. | + | 1.02136e6i | −0.238644 | + | 0.576136i | −0.997143 | − | 0.0755372i | \(-0.975933\pi\) |
0.758499 | + | 0.651674i | \(0.225933\pi\) | |||||||
\(62\) | 1.97812e6 | + | 895298.i | 1.05410 | + | 0.477086i | ||||
\(63\) | −2.39368e6 | −1.20607 | ||||||||
\(64\) | −1.74085e6 | + | 1.16940e6i | −0.830100 | + | 0.557614i | ||||
\(65\) | 2.24401e6 | 1.01351 | ||||||||
\(66\) | −230413. | − | 104285.i | −0.0986513 | − | 0.0446496i | ||||
\(67\) | 280122. | − | 676273.i | 0.113785 | − | 0.274701i | −0.856720 | − | 0.515781i | \(-0.827502\pi\) |
0.970505 | + | 0.241080i | \(0.0775017\pi\) | |||||||
\(68\) | 2.70067e6 | − | 2.37234e6i | 1.04157 | − | 0.914947i | ||||
\(69\) | 1.07926e6 | − | 447045.i | 0.395508 | − | 0.163825i | ||||
\(70\) | 3.00972e6 | − | 2.82123e6i | 1.04878 | − | 0.983095i | ||||
\(71\) | −704985. | + | 704985.i | −0.233763 | + | 0.233763i | −0.814261 | − | 0.580498i | \(-0.802858\pi\) |
0.580498 | + | 0.814261i | \(0.302858\pi\) | |||||||
\(72\) | 1.04346e6 | − | 1.95796e6i | 0.329467 | − | 0.618217i | ||||
\(73\) | −4.04776e6 | − | 4.04776e6i | −1.21783 | − | 1.21783i | −0.968392 | − | 0.249434i | \(-0.919755\pi\) |
−0.249434 | − | 0.968392i | \(-0.580245\pi\) | |||||||
\(74\) | −1.23216e6 | − | 39830.9i | −0.353473 | − | 0.0114264i | ||||
\(75\) | 231726. | + | 559435.i | 0.0634248 | + | 0.153121i | ||||
\(76\) | 2.27379e6 | + | 6.68036e6i | 0.594159 | + | 1.74563i | ||||
\(77\) | −1.26087e6 | − | 522271.i | −0.314742 | − | 0.130370i | ||||
\(78\) | −2.60520e6 | + | 981749.i | −0.621600 | + | 0.234245i | ||||
\(79\) | 4.52587e6i | 1.03278i | 0.856354 | + | 0.516389i | \(0.172724\pi\) | ||||
−0.856354 | + | 0.516389i | \(0.827276\pi\) | |||||||
\(80\) | 995683. | + | 3.69171e6i | 0.217423 | + | 0.806143i | ||||
\(81\) | 914833.i | 0.191269i | ||||||||
\(82\) | −2.99614e6 | − | 7.95067e6i | −0.600087 | − | 1.59241i | ||||
\(83\) | −4.39869e6 | − | 1.82200e6i | −0.844404 | − | 0.349764i | −0.0818155 | − | 0.996647i | \(-0.526072\pi\) |
−0.762589 | + | 0.646884i | \(0.776072\pi\) | |||||||
\(84\) | −2.25988e6 | + | 4.59208e6i | −0.416015 | + | 0.845341i | ||||
\(85\) | −2.50809e6 | − | 6.05506e6i | −0.442972 | − | 1.06943i | ||||
\(86\) | −17931.1 | + | 554694.i | −0.00303992 | + | 0.0940391i | ||||
\(87\) | −1.37583e6 | − | 1.37583e6i | −0.224000 | − | 0.224000i | ||||
\(88\) | 976847. | − | 803691.i | 0.152805 | − | 0.125719i | ||||
\(89\) | 1.02984e6 | − | 1.02984e6i | 0.154848 | − | 0.154848i | −0.625431 | − | 0.780279i | \(-0.715077\pi\) |
0.780279 | + | 0.625431i | \(0.215077\pi\) | |||||||
\(90\) | −2.76644e6 | − | 2.95128e6i | −0.400012 | − | 0.426738i | ||||
\(91\) | −1.38796e7 | + | 5.74911e6i | −1.93077 | + | 0.799752i | ||||
\(92\) | −377354. | + | 5.83058e6i | −0.0505233 | + | 0.780646i | ||||
\(93\) | −1.87956e6 | + | 4.53766e6i | −0.242307 | + | 0.584980i | ||||
\(94\) | 3.91497e6 | − | 8.64996e6i | 0.486162 | − | 1.07415i | ||||
\(95\) | 1.28661e7 | 1.53963 | ||||||||
\(96\) | −2.77106e6 | − | 3.85031e6i | −0.319666 | − | 0.444168i | ||||
\(97\) | 6.28752e6 | 0.699485 | 0.349743 | − | 0.936846i | \(-0.386269\pi\) | ||||
0.349743 | + | 0.936846i | \(0.386269\pi\) | |||||||
\(98\) | −7.54585e6 | + | 1.66722e7i | −0.809873 | + | 1.78938i | ||||
\(99\) | −512129. | + | 1.23639e6i | −0.0530465 | + | 0.128065i | ||||
\(100\) | −3.02228e6 | − | 195601.i | −0.302228 | − | 0.0195601i | ||||
\(101\) | 3.71275e6 | − | 1.53787e6i | 0.358568 | − | 0.148524i | −0.196125 | − | 0.980579i | \(-0.562836\pi\) |
0.554693 | + | 0.832055i | \(0.312836\pi\) | |||||||
\(102\) | 5.56087e6 | + | 5.93240e6i | 0.518850 | + | 0.553515i | ||||
\(103\) | 4.33067e6 | − | 4.33067e6i | 0.390504 | − | 0.390504i | −0.484363 | − | 0.874867i | \(-0.660949\pi\) |
0.874867 | + | 0.484363i | \(0.160949\pi\) | |||||||
\(104\) | 1.34781e6 | − | 1.38593e7i | 0.117493 | − | 1.20816i | ||||
\(105\) | 6.59832e6 | + | 6.59832e6i | 0.556251 | + | 0.556251i | ||||
\(106\) | 34933.6 | − | 1.08066e6i | 0.00284887 | − | 0.0881291i | ||||
\(107\) | −5.64463e6 | − | 1.36273e7i | −0.445443 | − | 1.07540i | −0.974010 | − | 0.226504i | \(-0.927270\pi\) |
0.528567 | − | 0.848892i | \(-0.322730\pi\) | |||||||
\(108\) | 1.09308e7 | + | 5.37932e6i | 0.834964 | + | 0.410908i | ||||
\(109\) | 1.08053e7 | + | 4.47569e6i | 0.799177 | + | 0.331030i | 0.744627 | − | 0.667481i | \(-0.232628\pi\) |
0.0545499 | + | 0.998511i | \(0.482628\pi\) | |||||||
\(110\) | −813297. | − | 2.15819e6i | −0.0582606 | − | 0.154602i | ||||
\(111\) | − | 2.78863e6i | − | 0.193535i | ||||||
\(112\) | −1.56166e7 | − | 2.02829e7i | −1.05032 | − | 1.36417i | ||||
\(113\) | − | 4.88853e6i | − | 0.318716i | −0.987221 | − | 0.159358i | \(-0.949058\pi\) | ||
0.987221 | − | 0.159358i | \(-0.0509424\pi\) | |||||||
\(114\) | −1.49371e7 | + | 5.62890e6i | −0.944274 | + | 0.355842i | ||||
\(115\) | 9.84192e6 | + | 4.07666e6i | 0.603444 | + | 0.249955i | ||||
\(116\) | 9.21266e6 | − | 3.13571e6i | 0.548002 | − | 0.186523i | ||||
\(117\) | 5.63747e6 | + | 1.36100e7i | 0.325412 | + | 0.785614i | ||||
\(118\) | 1.09195e7 | + | 352985.i | 0.611809 | + | 0.0197774i | ||||
\(119\) | 3.10259e7 | + | 3.10259e7i | 1.68776 | + | 1.68776i | ||||
\(120\) | −8.27360e6 | + | 2.52089e6i | −0.437079 | + | 0.133174i | ||||
\(121\) | 1.32400e7 | − | 1.32400e7i | 0.679420 | − | 0.679420i | ||||
\(122\) | 9.12524e6 | − | 8.55375e6i | 0.454972 | − | 0.426479i | ||||
\(123\) | 1.77562e7 | − | 7.35488e6i | 0.860366 | − | 0.356375i | ||||
\(124\) | −1.62122e7 | − | 1.84560e7i | −0.763602 | − | 0.869282i | ||||
\(125\) | −9.09039e6 | + | 2.19461e7i | −0.416291 | + | 1.00502i | ||||
\(126\) | 2.46720e7 | + | 1.11666e7i | 1.09877 | + | 0.497305i | ||||
\(127\) | −6.97029e6 | −0.301952 | −0.150976 | − | 0.988537i | \(-0.548242\pi\) | ||||
−0.150976 | + | 0.988537i | \(0.548242\pi\) | |||||||
\(128\) | 2.33985e7 | − | 3.93214e6i | 0.986172 | − | 0.165727i | ||||
\(129\) | −1.25539e6 | −0.0514888 | ||||||||
\(130\) | −2.31294e7 | − | 1.04683e7i | −0.923341 | − | 0.417904i | ||||
\(131\) | 5.67516e6 | − | 1.37011e7i | 0.220561 | − | 0.532481i | −0.774406 | − | 0.632690i | \(-0.781951\pi\) |
0.994966 | + | 0.100208i | \(0.0319509\pi\) | |||||||
\(132\) | 1.88841e6 | + | 2.14976e6i | 0.0714641 | + | 0.0813544i | ||||
\(133\) | −7.95792e7 | + | 3.29628e7i | −2.93304 | + | 1.21491i | ||||
\(134\) | −6.04209e6 | + | 5.66369e6i | −0.216930 | + | 0.203344i | ||||
\(135\) | 1.57063e7 | − | 1.57063e7i | 0.549423 | − | 0.549423i | ||||
\(136\) | −3.89032e7 | + | 1.18534e7i | −1.32617 | + | 0.404072i | ||||
\(137\) | −1.75333e7 | − | 1.75333e7i | −0.582561 | − | 0.582561i | 0.353046 | − | 0.935606i | \(-0.385146\pi\) |
−0.935606 | + | 0.353046i | \(0.885146\pi\) | |||||||
\(138\) | −1.32096e7 | − | 427015.i | −0.427871 | − | 0.0138314i | ||||
\(139\) | −9.98305e6 | − | 2.41012e7i | −0.315291 | − | 0.761179i | −0.999492 | − | 0.0318856i | \(-0.989849\pi\) |
0.684201 | − | 0.729294i | \(-0.260151\pi\) | |||||||
\(140\) | −4.41828e7 | + | 1.50385e7i | −1.36083 | + | 0.463186i | ||||
\(141\) | 1.98423e7 | + | 8.21895e6i | 0.596109 | + | 0.246916i | ||||
\(142\) | 1.05552e7 | − | 3.97763e6i | 0.309354 | − | 0.116578i | ||||
\(143\) | 8.39914e6i | 0.240192i | ||||||||
\(144\) | −1.98890e7 | + | 1.53133e7i | −0.555066 | + | 0.427366i | ||||
\(145\) | − | 1.77433e7i | − | 0.483332i | ||||||
\(146\) | 2.28381e7 | + | 6.06039e7i | 0.607329 | + | 1.61163i | ||||
\(147\) | −3.82448e7 | − | 1.58415e7i | −0.993028 | − | 0.411326i | ||||
\(148\) | 1.25143e7 | + | 6.15859e6i | 0.317314 | + | 0.156158i | ||||
\(149\) | 1.68840e6 | + | 4.07615e6i | 0.0418141 | + | 0.100948i | 0.943407 | − | 0.331638i | \(-0.107601\pi\) |
−0.901593 | + | 0.432586i | \(0.857601\pi\) | |||||||
\(150\) | 221343. | − | 6.84719e6i | 0.00535483 | − | 0.165651i | ||||
\(151\) | 1.21078e7 | + | 1.21078e7i | 0.286184 | + | 0.286184i | 0.835569 | − | 0.549385i | \(-0.185138\pi\) |
−0.549385 | + | 0.835569i | \(0.685138\pi\) | |||||||
\(152\) | 7.72770e6 | − | 7.94628e7i | 0.178483 | − | 1.83532i | ||||
\(153\) | 3.04234e7 | − | 3.04234e7i | 0.686733 | − | 0.686733i | ||||
\(154\) | 1.05596e7 | + | 1.12651e7i | 0.232984 | + | 0.248550i | ||||
\(155\) | −4.13794e7 | + | 1.71399e7i | −0.892531 | + | 0.369699i | ||||
\(156\) | 3.14321e7 | + | 2.03428e6i | 0.662885 | + | 0.0429017i | ||||
\(157\) | −1.30296e7 | + | 3.14562e7i | −0.268709 | + | 0.648721i | −0.999423 | − | 0.0339626i | \(-0.989187\pi\) |
0.730714 | + | 0.682684i | \(0.239187\pi\) | |||||||
\(158\) | 2.11133e7 | − | 4.66489e7i | 0.425849 | − | 0.940895i | ||||
\(159\) | 2.44576e6 | 0.0482530 | ||||||||
\(160\) | 6.95922e6 | − | 4.26959e7i | 0.134320 | − | 0.824074i | ||||
\(161\) | −7.13182e7 | −1.34682 | ||||||||
\(162\) | 4.26771e6 | − | 9.42933e6i | 0.0788665 | − | 0.174252i | ||||
\(163\) | 2.52574e7 | − | 6.09767e7i | 0.456806 | − | 1.10283i | −0.512878 | − | 0.858462i | \(-0.671421\pi\) |
0.969683 | − | 0.244365i | \(-0.0785795\pi\) | |||||||
\(164\) | −6.20830e6 | + | 9.59259e7i | −0.109906 | + | 1.69818i | ||||
\(165\) | 4.81990e6 | − | 1.99647e6i | 0.0835303 | − | 0.0345994i | ||||
\(166\) | 3.68384e7 | + | 3.92996e7i | 0.625061 | + | 0.666822i | ||||
\(167\) | 3.94088e7 | − | 3.94088e7i | 0.654765 | − | 0.654765i | −0.299372 | − | 0.954137i | \(-0.596777\pi\) |
0.954137 | + | 0.299372i | \(0.0967770\pi\) | |||||||
\(168\) | 4.47151e7 | − | 3.67889e7i | 0.727565 | − | 0.598597i | ||||
\(169\) | 2.10070e7 | + | 2.10070e7i | 0.334780 | + | 0.334780i | ||||
\(170\) | −2.39571e6 | + | 7.41108e7i | −0.0373993 | + | 1.15694i | ||||
\(171\) | 3.23227e7 | + | 7.80338e7i | 0.494334 | + | 1.19343i | ||||
\(172\) | 2.77248e6 | − | 5.63367e6i | 0.0415449 | − | 0.0844193i | ||||
\(173\) | −8.25058e7 | − | 3.41750e7i | −1.21150 | − | 0.501819i | −0.316802 | − | 0.948492i | \(-0.602609\pi\) |
−0.894698 | + | 0.446672i | \(0.852609\pi\) | |||||||
\(174\) | 7.76264e6 | + | 2.05992e7i | 0.111709 | + | 0.296434i | ||||
\(175\) | − | 3.69678e7i | − | 0.521423i | ||||||
\(176\) | −1.38178e7 | + | 3.72676e6i | −0.191048 | + | 0.0515273i | ||||
\(177\) | 2.47131e7i | 0.334981i | ||||||||
\(178\) | −1.54190e7 | + | 5.81052e6i | −0.204921 | + | 0.0772227i | ||||
\(179\) | −7.08217e7 | − | 2.93353e7i | −0.922955 | − | 0.382301i | −0.129954 | − | 0.991520i | \(-0.541483\pi\) |
−0.793002 | + | 0.609219i | \(0.791483\pi\) | |||||||
\(180\) | 1.47464e7 | + | 4.33248e7i | 0.188466 | + | 0.553710i | ||||
\(181\) | −2.49431e7 | − | 6.02179e7i | −0.312662 | − | 0.754833i | −0.999605 | − | 0.0281211i | \(-0.991048\pi\) |
0.686943 | − | 0.726712i | \(-0.258952\pi\) | |||||||
\(182\) | 1.69879e8 | + | 5.49151e6i | 2.08876 | + | 0.0675215i | ||||
\(183\) | 2.00056e7 | + | 2.00056e7i | 0.241309 | + | 0.241309i | ||||
\(184\) | 3.10892e7 | − | 5.83364e7i | 0.367915 | − | 0.690362i | ||||
\(185\) | 1.79816e7 | − | 1.79816e7i | 0.208799 | − | 0.208799i | ||||
\(186\) | 4.05412e7 | − | 3.80022e7i | 0.461956 | − | 0.433025i | ||||
\(187\) | 2.26636e7 | − | 9.38757e6i | 0.253445 | − | 0.104980i | ||||
\(188\) | −8.07044e7 | + | 7.08931e7i | −0.885819 | + | 0.778129i | ||||
\(189\) | −5.69070e7 | + | 1.37386e8i | −0.613125 | + | 1.48022i | ||||
\(190\) | −1.32613e8 | − | 6.00207e7i | −1.40265 | − | 0.634839i | ||||
\(191\) | 2.69419e6 | 0.0279777 | 0.0139888 | − | 0.999902i | \(-0.495547\pi\) | ||||
0.0139888 | + | 0.999902i | \(0.495547\pi\) | |||||||
\(192\) | 1.06000e7 | + | 5.26129e7i | 0.108082 | + | 0.536460i | ||||
\(193\) | −6.31485e6 | −0.0632285 | −0.0316142 | − | 0.999500i | \(-0.510065\pi\) | ||||
−0.0316142 | + | 0.999500i | \(0.510065\pi\) | |||||||
\(194\) | −6.48065e7 | − | 2.93314e7i | −0.637254 | − | 0.288421i | ||||
\(195\) | 2.19769e7 | − | 5.30569e7i | 0.212249 | − | 0.512414i | ||||
\(196\) | 1.55553e8 | − | 1.36642e8i | 1.47564 | − | 1.29625i | ||||
\(197\) | 1.70721e8 | − | 7.07149e7i | 1.59094 | − | 0.658990i | 0.600845 | − | 0.799365i | \(-0.294831\pi\) |
0.990098 | + | 0.140375i | \(0.0448308\pi\) | |||||||
\(198\) | 1.10464e7 | − | 1.03546e7i | 0.101133 | − | 0.0947990i | ||||
\(199\) | −5.26695e7 | + | 5.26695e7i | −0.473776 | + | 0.473776i | −0.903134 | − | 0.429358i | \(-0.858740\pi\) |
0.429358 | + | 0.903134i | \(0.358740\pi\) | |||||||
\(200\) | 3.02386e7 | + | 1.61151e7i | 0.267274 | + | 0.142439i | ||||
\(201\) | −1.32463e7 | − | 1.32463e7i | −0.115056 | − | 0.115056i | ||||
\(202\) | −4.54422e7 | − | 1.46897e6i | −0.387908 | − | 0.0125396i | ||||
\(203\) | 4.54579e7 | + | 1.09745e8i | 0.381393 | + | 0.920765i | ||||
\(204\) | −2.96420e7 | − | 8.70877e7i | −0.244457 | − | 0.718210i | ||||
\(205\) | 1.61921e8 | + | 6.70700e7i | 1.31270 | + | 0.543738i | ||||
\(206\) | −6.48396e7 | + | 2.44343e7i | −0.516779 | + | 0.194744i | ||||
\(207\) | 6.99333e7i | 0.548009i | ||||||||
\(208\) | −7.85459e7 | + | 1.36562e8i | −0.605204 | + | 1.05223i | ||||
\(209\) | 4.81569e7i | 0.364877i | ||||||||
\(210\) | −3.72286e7 | − | 9.87912e7i | −0.277402 | − | 0.736124i | ||||
\(211\) | −8.74301e7 | − | 3.62147e7i | −0.640726 | − | 0.265397i | 0.0385768 | − | 0.999256i | \(-0.487718\pi\) |
−0.679303 | + | 0.733858i | \(0.737718\pi\) | |||||||
\(212\) | −5.40138e6 | + | 1.09756e7i | −0.0389340 | + | 0.0791139i | ||||
\(213\) | 9.76421e6 | + | 2.35729e7i | 0.0692322 | + | 0.167141i | ||||
\(214\) | −5.39172e6 | + | 1.66792e8i | −0.0376079 | + | 1.16339i | ||||
\(215\) | −8.09497e6 | − | 8.09497e6i | −0.0555495 | − | 0.0555495i | ||||
\(216\) | −8.75707e7 | − | 1.06438e8i | −0.591249 | − | 0.718634i | ||||
\(217\) | 2.12027e8 | − | 2.12027e8i | 1.40858 | − | 1.40858i | ||||
\(218\) | −9.04924e7 | − | 9.65384e7i | −0.591582 | − | 0.631106i | ||||
\(219\) | −1.35347e8 | + | 5.60624e7i | −0.870750 | + | 0.360676i | ||||
\(220\) | −1.68523e6 | + | 2.60389e7i | −0.0106704 | + | 0.164871i | ||||
\(221\) | 1.03337e8 | − | 2.49478e8i | 0.643998 | − | 1.55475i | ||||
\(222\) | −1.30090e7 | + | 2.87428e7i | −0.0798011 | + | 0.176317i | ||||
\(223\) | −2.34440e8 | −1.41568 | −0.707838 | − | 0.706375i | \(-0.750329\pi\) | ||||
−0.707838 | + | 0.706375i | \(0.750329\pi\) | |||||||
\(224\) | 6.63421e7 | + | 2.81911e8i | 0.394386 | + | 1.67588i | ||||
\(225\) | −3.62499e7 | −0.212162 | ||||||||
\(226\) | −2.28051e7 | + | 5.03869e7i | −0.131417 | + | 0.290361i | ||||
\(227\) | 5.24600e7 | − | 1.26650e8i | 0.297672 | − | 0.718643i | −0.702305 | − | 0.711876i | \(-0.747846\pi\) |
0.999977 | − | 0.00676743i | \(-0.00215416\pi\) | |||||||
\(228\) | 1.80218e8 | + | 1.16636e7i | 1.00699 | + | 0.0651722i | ||||
\(229\) | −1.90723e8 | + | 7.89999e7i | −1.04949 | + | 0.434713i | −0.839709 | − | 0.543036i | \(-0.817275\pi\) |
−0.209780 | + | 0.977749i | \(0.567275\pi\) | |||||||
\(230\) | −8.24246e7 | − | 8.79315e7i | −0.446693 | − | 0.476537i | ||||
\(231\) | −2.46970e7 | + | 2.46970e7i | −0.131826 | + | 0.131826i | ||||
\(232\) | −1.09585e8 | − | 1.06570e7i | −0.576158 | − | 0.0560309i | ||||
\(233\) | 1.26375e8 | + | 1.26375e8i | 0.654510 | + | 0.654510i | 0.954076 | − | 0.299566i | \(-0.0968419\pi\) |
−0.299566 | + | 0.954076i | \(0.596842\pi\) | |||||||
\(234\) | 5.38487e6 | − | 1.66580e8i | 0.0274739 | − | 0.849898i | ||||
\(235\) | 7.49496e7 | + | 1.80944e8i | 0.376731 | + | 0.909510i | ||||
\(236\) | −1.10902e8 | − | 5.45780e7i | −0.549223 | − | 0.270287i | ||||
\(237\) | 1.07009e8 | + | 4.43245e7i | 0.522156 | + | 0.216284i | ||||
\(238\) | −1.75052e8 | − | 4.64525e8i | −0.841684 | − | 2.23352i | ||||
\(239\) | − | 6.95503e7i | − | 0.329539i | −0.986332 | − | 0.164769i | \(-0.947312\pi\) | ||
0.986332 | − | 0.164769i | \(-0.0526880\pi\) | |||||||
\(240\) | 9.70373e7 | + | 1.26133e7i | 0.453106 | + | 0.0588965i | ||||
\(241\) | 1.25350e8i | 0.576851i | 0.957502 | + | 0.288425i | \(0.0931317\pi\) | ||||
−0.957502 | + | 0.288425i | \(0.906868\pi\) | |||||||
\(242\) | −1.98231e8 | + | 7.47018e7i | −0.899122 | + | 0.338827i | ||||
\(243\) | 2.13939e8 | + | 8.86164e7i | 0.956462 | + | 0.396179i | ||||
\(244\) | −1.33959e8 | + | 4.55955e7i | −0.590346 | + | 0.200936i | ||||
\(245\) | −1.44461e8 | − | 3.48759e8i | −0.627579 | − | 1.51511i | ||||
\(246\) | −2.17327e8 | − | 7.02533e6i | −0.930767 | − | 0.0300881i | ||||
\(247\) | 3.74841e8 | + | 3.74841e8i | 1.58273 | + | 1.58273i | ||||
\(248\) | 8.10048e7 | + | 2.65859e8i | 0.337233 | + | 1.10680i | ||||
\(249\) | −8.61580e7 | + | 8.61580e7i | −0.353670 | + | 0.353670i | ||||
\(250\) | 1.96075e8 | − | 1.83796e8i | 0.793657 | − | 0.743952i | ||||
\(251\) | −2.27338e8 | + | 9.41665e7i | −0.907432 | + | 0.375871i | −0.787073 | − | 0.616860i | \(-0.788405\pi\) |
−0.120359 | + | 0.992730i | \(0.538405\pi\) | |||||||
\(252\) | −2.02206e8 | − | 2.30191e8i | −0.795963 | − | 0.906122i | ||||
\(253\) | −1.52586e7 | + | 3.68375e7i | −0.0592369 | + | 0.143011i | ||||
\(254\) | 7.18439e7 | + | 3.25166e7i | 0.275088 | + | 0.124505i | ||||
\(255\) | −1.67728e8 | −0.633453 | ||||||||
\(256\) | −2.59515e8 | − | 6.86252e7i | −0.966770 | − | 0.255649i | ||||
\(257\) | −2.83743e8 | −1.04270 | −0.521351 | − | 0.853343i | \(-0.674572\pi\) | ||||
−0.521351 | + | 0.853343i | \(0.674572\pi\) | |||||||
\(258\) | 1.29395e7 | + | 5.85640e6i | 0.0469080 | + | 0.0212306i | ||||
\(259\) | −6.51508e7 | + | 1.57288e8i | −0.233008 | + | 0.562530i | ||||
\(260\) | 1.89563e8 | + | 2.15798e8i | 0.668878 | + | 0.761448i | ||||
\(261\) | 1.07614e8 | − | 4.45751e7i | 0.374651 | − | 0.155185i | ||||
\(262\) | −1.22410e8 | + | 1.14744e8i | −0.420498 | + | 0.394163i | ||||
\(263\) | 2.99377e8 | − | 2.99377e8i | 1.01478 | − | 1.01478i | 0.0148956 | − | 0.999889i | \(-0.495258\pi\) |
0.999889 | − | 0.0148956i | \(-0.00474158\pi\) | |||||||
\(264\) | −9.43548e6 | − | 3.09674e7i | −0.0315610 | − | 0.103584i | ||||
\(265\) | 1.57707e7 | + | 1.57707e7i | 0.0520585 | + | 0.0520585i | ||||
\(266\) | 9.74007e8 | + | 3.14858e7i | 3.17305 | + | 0.102572i | ||||
\(267\) | −1.42636e7 | − | 3.44353e7i | −0.0458605 | − | 0.110717i | ||||
\(268\) | 8.86980e7 | − | 3.01901e7i | 0.281476 | − | 0.0958059i | ||||
\(269\) | 5.09689e8 | + | 2.11120e8i | 1.59651 | + | 0.661297i | 0.990917 | − | 0.134475i | \(-0.0429347\pi\) |
0.605596 | + | 0.795772i | \(0.292935\pi\) | |||||||
\(270\) | −2.35158e8 | + | 8.86174e7i | −0.727088 | + | 0.273997i | ||||
\(271\) | − | 2.27139e8i | − | 0.693264i | −0.938001 | − | 0.346632i | \(-0.887325\pi\) | ||
0.938001 | − | 0.346632i | \(-0.112675\pi\) | |||||||
\(272\) | 4.56278e8 | + | 5.93089e7i | 1.37480 | + | 0.178702i | ||||
\(273\) | 3.84470e8i | 1.14365i | ||||||||
\(274\) | 9.89252e7 | + | 2.62511e8i | 0.290523 | + | 0.770941i | ||||
\(275\) | −1.90947e7 | − | 7.90928e6i | −0.0553667 | − | 0.0229336i | ||||
\(276\) | 1.34161e8 | + | 6.60244e7i | 0.384101 | + | 0.189026i | ||||
\(277\) | −2.20470e8 | − | 5.32262e8i | −0.623262 | − | 1.50469i | −0.847852 | − | 0.530233i | \(-0.822104\pi\) |
0.224590 | − | 0.974453i | \(-0.427896\pi\) | |||||||
\(278\) | −9.53575e6 | + | 2.94986e8i | −0.0266194 | + | 0.823464i | ||||
\(279\) | −2.07909e8 | − | 2.07909e8i | −0.573138 | − | 0.573138i | ||||
\(280\) | 5.25554e8 | + | 5.11097e7i | 1.43075 | + | 0.139140i | ||||
\(281\) | 3.45297e8 | − | 3.45297e8i | 0.928370 | − | 0.928370i | −0.0692309 | − | 0.997601i | \(-0.522055\pi\) |
0.997601 | + | 0.0692309i | \(0.0220545\pi\) | |||||||
\(282\) | −1.66176e8 | − | 1.77279e8i | −0.441263 | − | 0.470744i | ||||
\(283\) | 5.00871e8 | − | 2.07468e8i | 1.31363 | − | 0.544124i | 0.387690 | − | 0.921790i | \(-0.373273\pi\) |
0.925942 | + | 0.377666i | \(0.123273\pi\) | |||||||
\(284\) | −1.27350e8 | − | 8.24204e6i | −0.329901 | − | 0.0213511i | ||||
\(285\) | 1.26006e8 | − | 3.04204e8i | 0.322428 | − | 0.778410i | ||||
\(286\) | 3.91822e7 | − | 8.65713e7i | 0.0990392 | − | 0.218823i | ||||
\(287\) | −1.17334e9 | −2.92980 | ||||||||
\(288\) | 2.76436e8 | − | 6.50538e7i | 0.681901 | − | 0.160472i | ||||
\(289\) | −3.78333e8 | −0.922002 | ||||||||
\(290\) | −8.27727e7 | + | 1.82883e8i | −0.199294 | + | 0.440331i | ||||
\(291\) | 6.15774e7 | − | 1.48661e8i | 0.146486 | − | 0.353648i | ||||
\(292\) | 4.73227e7 | − | 7.31194e8i | 0.111232 | − | 1.71867i | ||||
\(293\) | −5.42312e7 | + | 2.24633e7i | −0.125954 | + | 0.0521719i | −0.444770 | − | 0.895645i | \(-0.646715\pi\) |
0.318816 | + | 0.947817i | \(0.396715\pi\) | |||||||
\(294\) | 3.20294e8 | + | 3.41694e8i | 0.735078 | + | 0.784190i | ||||
\(295\) | −1.59355e8 | + | 1.59355e8i | −0.361400 | + | 0.361400i | ||||
\(296\) | −1.00256e8 | − | 1.21857e8i | −0.224694 | − | 0.273105i | ||||
\(297\) | 5.87875e7 | + | 5.87875e7i | 0.130208 | + | 0.130208i | ||||
\(298\) | 1.61275e6 | − | 4.98899e7i | 0.00353028 | − | 0.109208i | ||||
\(299\) | 1.67965e8 | + | 4.05503e8i | 0.363387 | + | 0.877294i | ||||
\(300\) | −3.42237e7 | + | 6.95425e7i | −0.0731817 | + | 0.148705i | ||||
\(301\) | 7.08079e7 | + | 2.93296e7i | 0.149658 | + | 0.0619902i | ||||
\(302\) | −6.83138e7 | − | 1.81280e8i | −0.142720 | − | 0.378726i | ||||
\(303\) | − | 1.02845e8i | − | 0.212390i | ||||||
\(304\) | −4.50346e8 | + | 7.82986e8i | −0.919367 | + | 1.59844i | ||||
\(305\) | 2.58000e8i | 0.520679i | ||||||||
\(306\) | −4.55505e8 | + | 1.71653e8i | −0.908799 | + | 0.342473i | ||||
\(307\) | 6.85858e8 | + | 2.84092e8i | 1.35285 | + | 0.560369i | 0.937084 | − | 0.349103i | \(-0.113514\pi\) |
0.415766 | + | 0.909472i | \(0.363514\pi\) | |||||||
\(308\) | −5.62877e7 | − | 1.65372e8i | −0.109771 | − | 0.322504i | ||||
\(309\) | −5.99808e7 | − | 1.44806e8i | −0.115653 | − | 0.279211i | ||||
\(310\) | 5.06463e8 | + | 1.63719e7i | 0.965565 | + | 0.0312129i | ||||
\(311\) | −6.69612e8 | − | 6.69612e8i | −1.26230 | − | 1.26230i | −0.949976 | − | 0.312322i | \(-0.898893\pi\) |
−0.312322 | − | 0.949976i | \(-0.601107\pi\) | |||||||
\(312\) | −3.14486e8 | − | 1.67599e8i | −0.586220 | − | 0.312414i | ||||
\(313\) | −6.59919e8 | + | 6.59919e8i | −1.21643 | + | 1.21643i | −0.247551 | + | 0.968875i | \(0.579626\pi\) |
−0.968875 | + | 0.247551i | \(0.920374\pi\) | |||||||
\(314\) | 2.81042e8 | − | 2.63441e8i | 0.512292 | − | 0.480209i | ||||
\(315\) | −5.16103e8 | + | 2.13777e8i | −0.930356 | + | 0.385366i | ||||
\(316\) | −4.35236e8 | + | 3.82324e8i | −0.775925 | + | 0.681595i | ||||
\(317\) | −3.79771e8 | + | 9.16850e8i | −0.669599 | + | 1.61656i | 0.112683 | + | 0.993631i | \(0.464056\pi\) |
−0.782282 | + | 0.622925i | \(0.785944\pi\) | |||||||
\(318\) | −2.52089e7 | − | 1.14095e7i | −0.0439600 | − | 0.0198963i | ||||
\(319\) | 6.64115e7 | 0.114545 | ||||||||
\(320\) | −2.70907e8 | + | 4.07609e8i | −0.462163 | + | 0.695374i | ||||
\(321\) | −3.77484e8 | −0.636987 | ||||||||
\(322\) | 7.35089e8 | + | 3.32701e8i | 1.22700 | + | 0.555340i | ||||
\(323\) | 5.92489e8 | − | 1.43040e9i | 0.978299 | − | 2.36182i | ||||
\(324\) | −8.79760e7 | + | 7.72806e7i | −0.143700 | + | 0.126230i | ||||
\(325\) | −2.10192e8 | + | 8.70645e7i | −0.339645 | + | 0.140686i | ||||
\(326\) | −5.44789e8 | + | 5.10671e8i | −0.870898 | + | 0.816355i | ||||
\(327\) | 2.11645e8 | − | 2.11645e8i | 0.334726 | − | 0.334726i | ||||
\(328\) | 5.11486e8 | − | 9.59762e8i | 0.800342 | − | 1.50178i | ||||
\(329\) | −9.27152e8 | − | 9.27152e8i | −1.43537 | − | 1.43537i | ||||
\(330\) | −5.89930e7 | − | 1.90701e6i | −0.0903653 | − | 0.00292116i | ||||
\(331\) | 3.09994e8 | + | 7.48393e8i | 0.469846 | + | 1.13431i | 0.964230 | + | 0.265066i | \(0.0853937\pi\) |
−0.494384 | + | 0.869244i | \(0.664606\pi\) | |||||||
\(332\) | −1.96366e8 | − | 5.76919e8i | −0.294498 | − | 0.865231i | ||||
\(333\) | 1.54233e8 | + | 6.38856e7i | 0.228888 | + | 0.0948087i | ||||
\(334\) | −5.90036e8 | + | 2.22350e8i | −0.866494 | + | 0.326531i | ||||
\(335\) | − | 1.70829e8i | − | 0.248259i | ||||||
\(336\) | −6.32507e8 | + | 1.70592e8i | −0.909658 | + | 0.245342i | ||||
\(337\) | 1.46998e8i | 0.209222i | 0.994513 | + | 0.104611i | \(0.0333598\pi\) | ||||
−0.994513 | + | 0.104611i | \(0.966640\pi\) | |||||||
\(338\) | −1.18524e8 | − | 3.14520e8i | −0.166955 | − | 0.443037i | ||||
\(339\) | −1.15584e8 | − | 4.78763e7i | −0.161138 | − | 0.0667454i | ||||
\(340\) | 3.70421e8 | − | 7.52696e8i | 0.511116 | − | 1.03859i | ||||
\(341\) | −6.41533e7 | − | 1.54880e8i | −0.0876151 | − | 0.211521i | ||||
\(342\) | 3.08744e7 | − | 9.55093e8i | 0.0417357 | − | 1.29108i | ||||
\(343\) | 8.77192e8 | + | 8.77192e8i | 1.17372 | + | 1.17372i | ||||
\(344\) | −5.48575e7 | + | 4.51335e7i | −0.0726577 | + | 0.0597784i | ||||
\(345\) | 1.92775e8 | − | 1.92775e8i | 0.252746 | − | 0.252746i | ||||
\(346\) | 6.90974e8 | + | 7.37139e8i | 0.896799 | + | 0.956716i | ||||
\(347\) | −1.54508e8 | + | 6.39992e7i | −0.198517 | + | 0.0822283i | −0.479727 | − | 0.877418i | \(-0.659264\pi\) |
0.281210 | + | 0.959646i | \(0.409264\pi\) | |||||||
\(348\) | 1.60850e7 | − | 2.48532e8i | 0.0204594 | − | 0.316123i | ||||
\(349\) | −1.86122e8 | + | 4.49339e8i | −0.234374 | + | 0.565828i | −0.996683 | − | 0.0813849i | \(-0.974066\pi\) |
0.762309 | + | 0.647213i | \(0.224066\pi\) | |||||||
\(350\) | −1.72455e8 | + | 3.81033e8i | −0.215000 | + | 0.475033i | ||||
\(351\) | 9.15176e8 | 1.12961 | ||||||||
\(352\) | 1.59807e8 | + | 2.60478e7i | 0.195298 | + | 0.0318325i | ||||
\(353\) | 3.83647e8 | 0.464217 | 0.232108 | − | 0.972690i | \(-0.425438\pi\) | ||||
0.232108 | + | 0.972690i | \(0.425438\pi\) | |||||||
\(354\) | 1.15287e8 | − | 2.54722e8i | 0.138124 | − | 0.305179i | ||||
\(355\) | −8.90410e7 | + | 2.14964e8i | −0.105631 | + | 0.255015i | ||||
\(356\) | 1.86032e8 | + | 1.20400e7i | 0.218531 | + | 0.0141433i | ||||
\(357\) | 1.03743e9 | − | 4.29716e8i | 1.20675 | − | 0.499853i | ||||
\(358\) | 5.93121e8 | + | 6.32748e8i | 0.683207 | + | 0.728854i | ||||
\(359\) | 5.13698e8 | − | 5.13698e8i | 0.585973 | − | 0.585973i | −0.350566 | − | 0.936538i | \(-0.614011\pi\) |
0.936538 | + | 0.350566i | \(0.114011\pi\) | |||||||
\(360\) | 5.01172e7 | − | 5.15348e8i | 0.0566146 | − | 0.582159i | ||||
\(361\) | 1.51711e9 | + | 1.51711e9i | 1.69723 | + | 1.69723i | ||||
\(362\) | −2.38255e7 | + | 7.37036e8i | −0.0263974 | + | 0.816599i | ||||
\(363\) | −1.83377e8 | − | 4.42710e8i | −0.201220 | − | 0.485788i | ||||
\(364\) | −1.72535e9 | − | 8.49090e8i | −1.87509 | − | 0.922781i | ||||
\(365\) | −1.23424e9 | − | 5.11240e8i | −1.32854 | − | 0.550300i | ||||
\(366\) | −1.12874e8 | − | 2.99527e8i | −0.120340 | − | 0.319340i | ||||
\(367\) | − | 1.00157e8i | − | 0.105767i | −0.998601 | − | 0.0528834i | \(-0.983159\pi\) | ||
0.998601 | − | 0.0528834i | \(-0.0168412\pi\) | |||||||
\(368\) | −5.92582e8 | + | 4.56250e8i | −0.619842 | + | 0.477239i | ||||
\(369\) | 1.15056e9i | 1.19211i | ||||||||
\(370\) | −2.69224e8 | + | 1.01455e8i | −0.276317 | + | 0.104128i | ||||
\(371\) | −1.37949e8 | − | 5.71403e7i | −0.140252 | − | 0.0580944i | ||||
\(372\) | −5.95145e8 | + | 2.02569e8i | −0.599408 | + | 0.204020i | ||||
\(373\) | −2.21469e8 | − | 5.34673e8i | −0.220969 | − | 0.533467i | 0.774053 | − | 0.633121i | \(-0.218226\pi\) |
−0.995022 | + | 0.0996538i | \(0.968226\pi\) | |||||||
\(374\) | −2.77390e8 | − | 8.96695e6i | −0.274183 | − | 0.00886327i | ||||
\(375\) | 4.29863e8 | + | 4.29863e8i | 0.420940 | + | 0.420940i | ||||
\(376\) | 1.16255e9 | − | 3.54219e8i | 1.12786 | − | 0.343648i | ||||
\(377\) | 5.16931e8 | − | 5.16931e8i | 0.496865 | − | 0.496865i | ||||
\(378\) | 1.22746e9 | − | 1.15058e9i | 1.16892 | − | 1.09571i | ||||
\(379\) | 1.02900e9 | − | 4.26228e8i | 0.970912 | − | 0.402165i | 0.159861 | − | 0.987140i | \(-0.448896\pi\) |
0.811052 | + | 0.584975i | \(0.198896\pi\) | |||||||
\(380\) | 1.08687e9 | + | 1.23729e9i | 1.01609 | + | 1.15672i | ||||
\(381\) | −6.82642e7 | + | 1.64804e8i | −0.0632347 | + | 0.152662i | ||||
\(382\) | −2.77695e7 | − | 1.25685e7i | −0.0254886 | − | 0.0115361i | ||||
\(383\) | −1.94613e8 | −0.177001 | −0.0885004 | − | 0.996076i | \(-0.528207\pi\) | ||||
−0.0885004 | + | 0.996076i | \(0.528207\pi\) | |||||||
\(384\) | 1.36184e8 | − | 5.91739e8i | 0.122735 | − | 0.533299i | ||||
\(385\) | −3.18501e8 | −0.284445 | ||||||||
\(386\) | 6.50882e7 | + | 2.94589e7i | 0.0576032 | + | 0.0260712i | ||||
\(387\) | 2.87600e7 | − | 6.94328e7i | 0.0252232 | − | 0.0608943i | ||||
\(388\) | 5.31140e8 | + | 6.04648e8i | 0.461634 | + | 0.525522i | ||||
\(389\) | −2.25776e8 | + | 9.35196e7i | −0.194471 | + | 0.0805525i | −0.477794 | − | 0.878472i | \(-0.658563\pi\) |
0.283323 | + | 0.959025i | \(0.408563\pi\) | |||||||
\(390\) | −4.74031e8 | + | 4.44344e8i | −0.404651 | + | 0.379309i | ||||
\(391\) | 9.06447e8 | − | 9.06447e8i | 0.766874 | − | 0.766874i | ||||
\(392\) | −2.24074e9 | + | 6.82734e8i | −1.87884 | + | 0.572467i | ||||
\(393\) | −2.68365e8 | − | 2.68365e8i | −0.223024 | − | 0.223024i | ||||
\(394\) | −2.08953e9 | − | 6.75464e7i | −1.72113 | − | 0.0556372i | ||||
\(395\) | 4.04200e8 | + | 9.75826e8i | 0.329995 | + | 0.796677i | ||||
\(396\) | −1.62161e8 | + | 5.51947e7i | −0.131224 | + | 0.0446646i | ||||
\(397\) | 1.96265e9 | + | 8.12955e8i | 1.57426 | + | 0.652078i | 0.987490 | − | 0.157679i | \(-0.0504010\pi\) |
0.586766 | + | 0.809757i | \(0.300401\pi\) | |||||||
\(398\) | 7.88577e8 | − | 2.97169e8i | 0.626980 | − | 0.236272i | ||||
\(399\) | 2.20438e9i | 1.73732i | ||||||||
\(400\) | −2.36497e8 | − | 3.07165e8i | −0.184763 | − | 0.239972i | ||||
\(401\) | − | 1.26185e9i | − | 0.977239i | −0.872497 | − | 0.488620i | \(-0.837501\pi\) | ||
0.872497 | − | 0.488620i | \(-0.162499\pi\) | |||||||
\(402\) | 7.47374e7 | + | 1.98326e8i | 0.0573782 | + | 0.152261i | ||||
\(403\) | −1.70490e9 | − | 7.06193e8i | −1.29757 | − | 0.537472i | ||||
\(404\) | 4.61527e8 | + | 2.27130e8i | 0.348227 | + | 0.171372i | ||||
\(405\) | 8.17027e7 | + | 1.97248e8i | 0.0611144 | + | 0.147543i | ||||
\(406\) | 4.34211e7 | − | 1.34322e9i | 0.0322003 | − | 0.996108i | ||||
\(407\) | 6.73037e7 | + | 6.73037e7i | 0.0494833 | + | 0.0494833i | ||||
\(408\) | −1.00741e8 | + | 1.03591e9i | −0.0734340 | + | 0.755111i | ||||
\(409\) | −2.31797e8 | + | 2.31797e8i | −0.167524 | + | 0.167524i | −0.785890 | − | 0.618366i | \(-0.787795\pi\) |
0.618366 | + | 0.785890i | \(0.287795\pi\) | |||||||
\(410\) | −1.35607e9 | − | 1.44667e9i | −0.971712 | − | 1.03663i | ||||
\(411\) | −5.86267e8 | + | 2.42840e8i | −0.416533 | + | 0.172534i | ||||
\(412\) | 7.82299e8 | + | 5.06302e7i | 0.551103 | + | 0.0356672i | ||||
\(413\) | 5.77372e8 | − | 1.39390e9i | 0.403302 | − | 0.973657i | ||||
\(414\) | 3.26240e8 | − | 7.20814e8i | 0.225962 | − | 0.499254i | ||||
\(415\) | −1.11113e9 | −0.763124 | ||||||||
\(416\) | 1.44665e9 | − | 1.04115e9i | 0.985229 | − | 0.709067i | ||||
\(417\) | −6.67614e8 | −0.450868 | ||||||||
\(418\) | 2.24653e8 | − | 4.96360e8i | 0.150451 | − | 0.332415i | ||||
\(419\) | −5.11329e8 | + | 1.23446e9i | −0.339587 | + | 0.819835i | 0.658168 | + | 0.752871i | \(0.271331\pi\) |
−0.997755 | + | 0.0669646i | \(0.978669\pi\) | |||||||
\(420\) | −7.71414e7 | + | 1.19193e9i | −0.0508060 | + | 0.785015i | ||||
\(421\) | −2.50581e9 | + | 1.03794e9i | −1.63667 | + | 0.677932i | −0.995956 | − | 0.0898460i | \(-0.971363\pi\) |
−0.640716 | + | 0.767778i | \(0.721363\pi\) | |||||||
\(422\) | 7.32213e8 | + | 7.81134e8i | 0.474290 | + | 0.505978i | ||||
\(423\) | −9.09148e8 | + | 9.09148e8i | −0.584041 | + | 0.584041i | ||||
\(424\) | 1.06874e8 | − | 8.79297e7i | 0.0680915 | − | 0.0560216i | ||||
\(425\) | 4.69856e8 | + | 4.69856e8i | 0.296896 | + | 0.296896i | ||||
\(426\) | 9.32671e6 | − | 2.88520e8i | 0.00584514 | − | 0.180818i | ||||
\(427\) | −6.60991e8 | − | 1.59577e9i | −0.410864 | − | 0.991913i | ||||
\(428\) | 8.33659e8 | − | 1.69400e9i | 0.513967 | − | 1.04438i | ||||
\(429\) | 1.98588e8 | + | 8.22577e7i | 0.121437 | + | 0.0503009i | ||||
\(430\) | 4.56729e7 | + | 1.21199e8i | 0.0277025 | + | 0.0735124i | ||||
\(431\) | − | 2.21100e9i | − | 1.33021i | −0.746751 | − | 0.665103i | \(-0.768388\pi\) | ||
0.746751 | − | 0.665103i | \(-0.231612\pi\) | |||||||
\(432\) | 4.06070e8 | + | 1.50559e9i | 0.242330 | + | 0.898491i | ||||
\(433\) | − | 2.90608e9i | − | 1.72028i | −0.510054 | − | 0.860142i | \(-0.670375\pi\) | ||
0.510054 | − | 0.860142i | \(-0.329625\pi\) | |||||||
\(434\) | −3.17450e9 | + | 1.19628e9i | −1.86407 | + | 0.702458i | ||||
\(435\) | −4.19518e8 | − | 1.73770e8i | −0.244365 | − | 0.101219i | ||||
\(436\) | 4.82367e8 | + | 1.41719e9i | 0.278724 | + | 0.818887i | ||||
\(437\) | 9.63035e8 | + | 2.32497e9i | 0.552023 | + | 1.33270i | ||||
\(438\) | 1.65657e9 | + | 5.35505e7i | 0.942000 | + | 0.0304512i | ||||
\(439\) | 6.82634e7 | + | 6.82634e7i | 0.0385090 | + | 0.0385090i | 0.726099 | − | 0.687590i | \(-0.241331\pi\) |
−0.687590 | + | 0.726099i | \(0.741331\pi\) | |||||||
\(440\) | 1.38842e8 | − | 2.60525e8i | 0.0777027 | − | 0.145803i | ||||
\(441\) | 1.75232e9 | − | 1.75232e9i | 0.972925 | − | 0.972925i | ||||
\(442\) | −2.22894e9 | + | 2.08934e9i | −1.22778 | + | 1.15089i | ||||
\(443\) | −1.27243e9 | + | 5.27057e8i | −0.695376 | + | 0.288034i | −0.702238 | − | 0.711942i | \(-0.747816\pi\) |
0.00686186 | + | 0.999976i | \(0.497816\pi\) | |||||||
\(444\) | 2.68172e8 | − | 2.35570e8i | 0.145403 | − | 0.127726i | ||||
\(445\) | 1.30071e8 | − | 3.14019e8i | 0.0699714 | − | 0.168926i | ||||
\(446\) | 2.41641e9 | + | 1.09367e9i | 1.28973 | + | 0.583731i | ||||
\(447\) | 1.12911e8 | 0.0597944 | ||||||||
\(448\) | 6.31320e8 | − | 3.21519e9i | 0.331724 | − | 1.68940i | ||||
\(449\) | 1.09074e9 | 0.568666 | 0.284333 | − | 0.958726i | \(-0.408228\pi\) | ||||
0.284333 | + | 0.958726i | \(0.408228\pi\) | |||||||
\(450\) | 3.73633e8 | + | 1.69106e8i | 0.193287 | + | 0.0874815i | ||||
\(451\) | −2.51037e8 | + | 6.06058e8i | −0.128861 | + | 0.311097i | ||||
\(452\) | 4.70112e8 | − | 4.12960e8i | 0.239451 | − | 0.210341i | ||||
\(453\) | 4.04853e8 | − | 1.67696e8i | 0.204623 | − | 0.0847574i | ||||
\(454\) | −1.13154e9 | + | 1.06067e9i | −0.567510 | + | 0.531968i | ||||
\(455\) | −2.47914e9 | + | 2.47914e9i | −1.23385 | + | 1.23385i | ||||
\(456\) | −1.80312e9 | − | 9.60938e8i | −0.890529 | − | 0.474590i | ||||
\(457\) | −1.55142e9 | − | 1.55142e9i | −0.760364 | − | 0.760364i | 0.216024 | − | 0.976388i | \(-0.430691\pi\) |
−0.976388 | + | 0.216024i | \(0.930691\pi\) | |||||||
\(458\) | 2.33435e9 | + | 7.54602e7i | 1.13537 | + | 0.0367019i | ||||
\(459\) | −1.02288e9 | − | 2.46944e9i | −0.493717 | − | 1.19194i | ||||
\(460\) | 4.39361e8 | + | 1.29084e9i | 0.210460 | + | 0.618328i | ||||
\(461\) | −2.04800e9 | − | 8.48308e8i | −0.973590 | − | 0.403274i | −0.161542 | − | 0.986866i | \(-0.551647\pi\) |
−0.812047 | + | 0.583592i | \(0.801647\pi\) | |||||||
\(462\) | 3.69767e8 | − | 1.39344e8i | 0.174454 | − | 0.0657417i | ||||
\(463\) | − | 4.42035e8i | − | 0.206978i | −0.994631 | − | 0.103489i | \(-0.966999\pi\) | ||
0.994631 | − | 0.103489i | \(-0.0330006\pi\) | |||||||
\(464\) | 1.07979e9 | + | 6.21058e8i | 0.501795 | + | 0.288615i | ||||
\(465\) | 1.14623e9i | 0.528672i | ||||||||
\(466\) | −7.13027e8 | − | 1.89211e9i | −0.326404 | − | 0.866156i | ||||
\(467\) | 1.51207e7 | + | 6.26320e6i | 0.00687010 | + | 0.00284569i | 0.386116 | − | 0.922450i | \(-0.373816\pi\) |
−0.379246 | + | 0.925296i | \(0.623816\pi\) | |||||||
\(468\) | −8.32601e8 | + | 1.69184e9i | −0.375471 | + | 0.762957i | ||||
\(469\) | 4.37661e8 | + | 1.05661e9i | 0.195899 | + | 0.472943i | ||||
\(470\) | 7.15914e7 | − | 2.21466e9i | 0.0318067 | − | 0.983933i | ||||
\(471\) | 6.16139e8 | + | 6.16139e8i | 0.271710 | + | 0.271710i | ||||
\(472\) | 8.88482e8 | + | 1.07991e9i | 0.388912 | + | 0.472704i | ||||
\(473\) | 3.02988e7 | − | 3.02988e7i | 0.0131647 | − | 0.0131647i | ||||
\(474\) | −8.96182e8 | − | 9.56058e8i | −0.386520 | − | 0.412344i | ||||
\(475\) | −1.20515e9 | + | 4.99189e8i | −0.515956 | + | 0.213716i | ||||
\(476\) | −3.62726e8 | + | 5.60456e9i | −0.154154 | + | 2.38187i | ||||
\(477\) | −5.60307e7 | + | 1.35270e8i | −0.0236381 | + | 0.0570673i | ||||
\(478\) | −3.24453e8 | + | 7.16866e8i | −0.135880 | + | 0.300221i | ||||
\(479\) | 2.17560e9 | 0.904491 | 0.452246 | − | 0.891893i | \(-0.350623\pi\) | ||||
0.452246 | + | 0.891893i | \(0.350623\pi\) | |||||||
\(480\) | −9.41338e8 | − | 5.82688e8i | −0.388509 | − | 0.240487i | ||||
\(481\) | 1.04775e9 | 0.429290 | ||||||||
\(482\) | 5.84759e8 | − | 1.29200e9i | 0.237855 | − | 0.525530i | ||||
\(483\) | −6.98461e8 | + | 1.68623e9i | −0.282051 | + | 0.680931i | ||||
\(484\) | 2.39169e9 | + | 1.54790e8i | 0.958839 | + | 0.0620559i | ||||
\(485\) | 1.35566e9 | − | 5.61532e8i | 0.539578 | − | 0.223500i | ||||
\(486\) | −1.79171e9 | − | 1.91141e9i | −0.708010 | − | 0.755314i | ||||
\(487\) | −2.79123e8 | + | 2.79123e8i | −0.109508 | + | 0.109508i | −0.759738 | − | 0.650230i | \(-0.774673\pi\) |
0.650230 | + | 0.759738i | \(0.274673\pi\) | |||||||
\(488\) | 1.59344e9 | + | 1.54961e8i | 0.620678 | + | 0.0603605i | ||||
\(489\) | −1.19436e9 | − | 1.19436e9i | −0.461907 | − | 0.461907i | ||||
\(490\) | −1.37988e8 | + | 4.26862e9i | −0.0529852 | + | 1.63909i | ||||
\(491\) | −1.07017e8 | − | 2.58361e8i | −0.0408006 | − | 0.0985013i | 0.902166 | − | 0.431390i | \(-0.141977\pi\) |
−0.942966 | + | 0.332889i | \(0.891977\pi\) | |||||||
\(492\) | 2.20725e9 | + | 1.08625e9i | 0.835553 | + | 0.411198i | ||||
\(493\) | −1.97261e9 | − | 8.17083e8i | −0.741443 | − | 0.307116i | ||||
\(494\) | −2.11491e9 | − | 5.61219e9i | −0.789309 | − | 2.09454i | ||||
\(495\) | 3.12316e8i | 0.115738i | ||||||||
\(496\) | 4.05309e8 | − | 3.11814e9i | 0.149142 | − | 1.14739i | ||||
\(497\) | − | 1.55771e9i | − | 0.569166i | ||||||
\(498\) | 1.28997e9 | − | 4.86115e8i | 0.468034 | − | 0.176375i | ||||
\(499\) | 2.66046e8 | + | 1.10200e8i | 0.0958528 | + | 0.0397035i | 0.430095 | − | 0.902784i | \(-0.358480\pi\) |
−0.334242 | + | 0.942487i | \(0.608480\pi\) | |||||||
\(500\) | −2.87839e9 | + | 9.79715e8i | −1.02980 | + | 0.350514i | ||||
\(501\) | −5.45821e8 | − | 1.31773e9i | −0.193918 | − | 0.468159i | ||||
\(502\) | 2.78250e9 | + | 8.99473e7i | 0.981685 | + | 0.0317340i | ||||
\(503\) | −6.24632e8 | − | 6.24632e8i | −0.218845 | − | 0.218845i | 0.589167 | − | 0.808011i | \(-0.299456\pi\) |
−0.808011 | + | 0.589167i | \(0.799456\pi\) | |||||||
\(504\) | 1.01033e9 | + | 3.31591e9i | 0.351524 | + | 1.15371i | ||||
\(505\) | 6.63164e8 | − | 6.63164e8i | 0.229140 | − | 0.229140i | ||||
\(506\) | 3.29120e8 | − | 3.08508e8i | 0.112935 | − | 0.105862i | ||||
\(507\) | 7.02419e8 | − | 2.90951e8i | 0.239369 | − | 0.0991500i | ||||
\(508\) | −5.88817e8 | − | 6.70307e8i | −0.199277 | − | 0.226856i | ||||
\(509\) | −9.48631e6 | + | 2.29020e7i | −0.00318849 | + | 0.00769769i | −0.925466 | − | 0.378831i | \(-0.876326\pi\) |
0.922277 | + | 0.386529i | \(0.126326\pi\) | |||||||
\(510\) | 1.72880e9 | + | 7.82454e8i | 0.577097 | + | 0.261194i | ||||
\(511\) | 8.94379e9 | 2.96516 | ||||||||
\(512\) | 2.35473e9 | + | 1.91797e9i | 0.775347 | + | 0.631536i | ||||
\(513\) | 5.24720e9 | 1.71600 | ||||||||
\(514\) | 2.92459e9 | + | 1.32367e9i | 0.949935 | + | 0.429941i | ||||
\(515\) | 5.46972e8 | − | 1.32051e9i | 0.176457 | − | 0.426006i | ||||
\(516\) | −1.06049e8 | − | 1.20726e8i | −0.0339807 | − | 0.0386835i | ||||
\(517\) | −6.77260e8 | + | 2.80530e8i | −0.215545 | + | 0.0892818i | ||||
\(518\) | 1.40527e9 | − | 1.31726e9i | 0.444228 | − | 0.416407i | ||||
\(519\) | −1.61606e9 | + | 1.61606e9i | −0.507423 | + | 0.507423i | ||||
\(520\) | −9.47155e8 | − | 3.10858e9i | −0.295399 | − | 0.969505i | ||||
\(521\) | 2.63756e9 | + | 2.63756e9i | 0.817089 | + | 0.817089i | 0.985685 | − | 0.168596i | \(-0.0539232\pi\) |
−0.168596 | + | 0.985685i | \(0.553923\pi\) | |||||||
\(522\) | −1.31714e9 | − | 4.25779e7i | −0.405307 | − | 0.0131020i | ||||
\(523\) | 1.44182e8 | + | 3.48085e8i | 0.0440711 | + | 0.106397i | 0.944382 | − | 0.328850i | \(-0.106661\pi\) |
−0.900311 | + | 0.435247i | \(0.856661\pi\) | |||||||
\(524\) | 1.79699e9 | − | 6.11640e8i | 0.545614 | − | 0.185710i | ||||
\(525\) | −8.74059e8 | − | 3.62047e8i | −0.263623 | − | 0.109196i | ||||
\(526\) | −4.48233e9 | + | 1.68913e9i | −1.34293 | + | 0.506073i | ||||
\(527\) | 5.38967e9i | 1.60408i | ||||||||
\(528\) | −4.72105e7 | + | 3.63203e8i | −0.0139579 | + | 0.107382i | ||||
\(529\) | − | 1.32120e9i | − | 0.388039i | ||||||
\(530\) | −8.89807e7 | − | 2.36122e8i | −0.0259615 | − | 0.0688924i | ||||
\(531\) | −1.36683e9 | − | 5.66160e8i | −0.396172 | − | 0.164100i | ||||
\(532\) | −9.89237e9 | − | 4.86829e9i | −2.84846 | − | 1.40180i | ||||
\(533\) | 2.76339e9 | + | 6.67142e9i | 0.790492 | + | 1.90842i | ||||
\(534\) | −1.36245e7 | + | 4.21470e8i | −0.00387191 | + | 0.119777i | ||||
\(535\) | −2.43409e9 | − | 2.43409e9i | −0.687223 | − | 0.687223i | ||||
\(536\) | −1.05506e9 | − | 1.02604e8i | −0.295938 | − | 0.0287798i | ||||
\(537\) | −1.38720e9 | + | 1.38720e9i | −0.386570 | + | 0.386570i | ||||
\(538\) | −4.26857e9 | − | 4.55376e9i | −1.18180 | − | 1.26076i | ||||
\(539\) | 1.30538e9 | − | 5.40704e8i | 0.359066 | − | 0.148730i | ||||
\(540\) | 2.83721e9 | + | 1.83624e8i | 0.775379 | + | 0.0501824i | ||||
\(541\) | −1.61636e9 | + | 3.90224e9i | −0.438883 | + | 1.05956i | 0.537453 | + | 0.843294i | \(0.319387\pi\) |
−0.976335 | + | 0.216262i | \(0.930613\pi\) | |||||||
\(542\) | −1.05961e9 | + | 2.34116e9i | −0.285856 | + | 0.631587i | ||||
\(543\) | −1.66806e9 | −0.447109 | ||||||||
\(544\) | −4.42626e9 | − | 2.73985e9i | −1.17880 | − | 0.729678i | ||||
\(545\) | 2.72945e9 | 0.722250 | ||||||||
\(546\) | 1.79356e9 | − | 3.96280e9i | 0.471566 | − | 1.04190i | ||||
\(547\) | −4.83771e8 | + | 1.16793e9i | −0.126382 | + | 0.305112i | −0.974388 | − | 0.224874i | \(-0.927803\pi\) |
0.848006 | + | 0.529986i | \(0.177803\pi\) | |||||||
\(548\) | 2.04983e8 | − | 3.16724e9i | 0.0532090 | − | 0.822145i | ||||
\(549\) | −1.56478e9 | + | 6.48155e8i | −0.403600 | + | 0.167177i | ||||
\(550\) | 1.59915e8 | + | 1.70599e8i | 0.0409845 | + | 0.0437228i | ||||
\(551\) | 2.96385e9 | − | 2.96385e9i | 0.754789 | − | 0.754789i | ||||
\(552\) | −1.07482e9 | − | 1.30639e9i | −0.271987 | − | 0.330587i | ||||
\(553\) | −5.00009e9 | − | 5.00009e9i | −1.25730 | − | 1.25730i | ||||
\(554\) | −2.10592e8 | + | 6.51461e9i | −0.0526207 | + | 1.62781i | ||||
\(555\) | −2.49049e8 | − | 6.01258e8i | −0.0618386 | − | 0.149292i | ||||
\(556\) | 1.47440e9 | − | 2.99599e9i | 0.363793 | − | 0.739227i | ||||
\(557\) | 2.63711e9 | + | 1.09233e9i | 0.646600 | + | 0.267830i | 0.681788 | − | 0.731550i | \(-0.261203\pi\) |
−0.0351876 | + | 0.999381i | \(0.511203\pi\) | |||||||
\(558\) | 1.17305e9 | + | 3.11285e9i | 0.285824 | + | 0.758471i | ||||
\(559\) | − | 4.71677e8i | − | 0.114210i | ||||||
\(560\) | −5.17854e9 | − | 2.97852e9i | −1.24609 | − | 0.716707i | ||||
\(561\) | − | 6.27792e8i | − | 0.150122i | ||||||
\(562\) | −5.16985e9 | + | 1.94822e9i | −1.22857 | + | 0.462978i | ||||
\(563\) | −5.33627e8 | − | 2.21036e8i | −0.126026 | − | 0.0522015i | 0.318780 | − | 0.947829i | \(-0.396727\pi\) |
−0.444805 | + | 0.895627i | \(0.646727\pi\) | |||||||
\(564\) | 8.85797e8 | + | 2.60246e9i | 0.207901 | + | 0.610811i | ||||
\(565\) | −4.36589e8 | − | 1.05402e9i | −0.101837 | − | 0.245855i | ||||
\(566\) | −6.13040e9 | − | 1.98172e8i | −1.42112 | − | 0.0459393i | ||||
\(567\) | −1.01069e9 | − | 1.01069e9i | −0.232850 | − | 0.232850i | ||||
\(568\) | 1.27416e9 | + | 6.79040e8i | 0.291747 | + | 0.155481i | ||||
\(569\) | −5.33677e9 | + | 5.33677e9i | −1.21447 | + | 1.21447i | −0.244926 | + | 0.969542i | \(0.578764\pi\) |
−0.969542 | + | 0.244926i | \(0.921236\pi\) | |||||||
\(570\) | −2.71788e9 | + | 2.54766e9i | −0.614707 | + | 0.576209i | ||||
\(571\) | 6.36527e9 | − | 2.63658e9i | 1.43084 | − | 0.592672i | 0.473279 | − | 0.880913i | \(-0.343070\pi\) |
0.957558 | + | 0.288241i | \(0.0930703\pi\) | |||||||
\(572\) | −8.07714e8 | + | 7.09519e8i | −0.180456 | + | 0.158518i | ||||
\(573\) | 2.63858e7 | − | 6.37010e7i | 0.00585908 | − | 0.0141451i | ||||
\(574\) | 1.20938e10 | + | 5.47367e9i | 2.66915 | + | 1.20806i | ||||
\(575\) | −1.08004e9 | −0.236921 | ||||||||
\(576\) | −3.15275e9 | − | 6.19060e8i | −0.687402 | − | 0.134975i | ||||
\(577\) | −6.45903e9 | −1.39975 | −0.699877 | − | 0.714263i | \(-0.746762\pi\) | ||||
−0.699877 | + | 0.714263i | \(0.746762\pi\) | |||||||
\(578\) | 3.89954e9 | + | 1.76493e9i | 0.839974 | + | 0.380172i | ||||
\(579\) | −6.18451e7 | + | 1.49307e8i | −0.0132413 | + | 0.0319673i | ||||
\(580\) | 1.70630e9 | − | 1.49886e9i | 0.363127 | − | 0.318981i | ||||
\(581\) | 6.87250e9 | − | 2.84668e9i | 1.45378 | − | 0.602175i | ||||
\(582\) | −1.32819e9 | + | 1.24501e9i | −0.279275 | + | 0.261784i | ||||
\(583\) | −5.90286e7 | + | 5.90286e7i | −0.0123374 | + | 0.0123374i | ||||
\(584\) | −3.89880e9 | + | 7.31577e9i | −0.810001 | + | 1.51990i | ||||
\(585\) | 2.43100e9 | + | 2.43100e9i | 0.502040 | + | 0.502040i | ||||
\(586\) | 6.63761e8 | + | 2.14568e7i | 0.136261 | + | 0.00440477i | ||||
\(587\) | −1.92973e9 | − | 4.65878e9i | −0.393789 | − | 0.950690i | −0.989107 | − | 0.147200i | \(-0.952974\pi\) |
0.595318 | − | 0.803490i | \(-0.297026\pi\) | |||||||
\(588\) | −1.70732e9 | − | 5.01607e9i | −0.346333 | − | 1.01752i | ||||
\(589\) | −9.77513e9 | − | 4.04899e9i | −1.97115 | − | 0.816475i | ||||
\(590\) | 2.38589e9 | − | 8.99101e8i | 0.478264 | − | 0.180230i | ||||
\(591\) | − | 4.72904e9i | − | 0.942361i | ||||||
\(592\) | 4.64895e8 | + | 1.72370e9i | 0.0920935 | + | 0.341456i | ||||
\(593\) | 3.60623e8i | 0.0710170i | 0.999369 | + | 0.0355085i | \(0.0113051\pi\) | ||||
−0.999369 | + | 0.0355085i | \(0.988695\pi\) | |||||||
\(594\) | −3.31687e8 | − | 8.80177e8i | −0.0649346 | − | 0.172313i | ||||
\(595\) | 9.46040e9 | + | 3.91863e9i | 1.84120 | + | 0.762649i | ||||
\(596\) | −2.49360e8 | + | 5.06700e8i | −0.0482465 | + | 0.0980368i | ||||
\(597\) | 7.29484e8 | + | 1.76113e9i | 0.140316 | + | 0.338752i | ||||
\(598\) | 1.60439e8 | − | 4.96315e9i | 0.0306800 | − | 0.949080i | ||||
\(599\) | −1.05984e9 | − | 1.05984e9i | −0.201486 | − | 0.201486i | 0.599150 | − | 0.800636i | \(-0.295505\pi\) |
−0.800636 | + | 0.599150i | \(0.795505\pi\) | |||||||
\(600\) | 6.77166e8 | − | 5.57132e8i | 0.127987 | − | 0.105300i | ||||
\(601\) | −5.71591e9 | + | 5.71591e9i | −1.07405 | + | 1.07405i | −0.0770212 | + | 0.997029i | \(0.524541\pi\) |
−0.997029 | + | 0.0770212i | \(0.975459\pi\) | |||||||
\(602\) | −5.93005e8 | − | 6.32625e8i | −0.110782 | − | 0.118184i | ||||
\(603\) | 1.03609e9 | − | 4.29162e8i | 0.192436 | − | 0.0797096i | ||||
\(604\) | −1.41553e8 | + | 2.18717e9i | −0.0261390 | + | 0.403880i | ||||
\(605\) | 1.67223e9 | − | 4.03713e9i | 0.307010 | − | 0.741189i | ||||
\(606\) | −4.79774e8 | + | 1.06004e9i | −0.0875754 | + | 0.193494i | ||||
\(607\) | 3.60067e8 | 0.0653466 | 0.0326733 | − | 0.999466i | \(-0.489598\pi\) | ||||
0.0326733 | + | 0.999466i | \(0.489598\pi\) | |||||||
\(608\) | 8.29444e9 | − | 5.96949e9i | 1.49666 | − | 1.07715i | ||||
\(609\) | 3.03999e9 | 0.545395 | ||||||||
\(610\) | 1.20357e9 | − | 2.65925e9i | 0.214693 | − | 0.474356i | ||||
\(611\) | −3.08805e9 | + | 7.45521e9i | −0.547696 | + | 1.32226i | ||||
\(612\) | 5.49573e9 | + | 3.55682e8i | 0.969159 | + | 0.0627238i | ||||
\(613\) | −3.65011e9 | + | 1.51193e9i | −0.640021 | + | 0.265105i | −0.679004 | − | 0.734134i | \(-0.737588\pi\) |
0.0389830 | + | 0.999240i | \(0.487588\pi\) | |||||||
\(614\) | −5.74395e9 | − | 6.12772e9i | −1.00143 | − | 1.06834i | ||||
\(615\) | 3.17158e9 | − | 3.17158e9i | 0.549810 | − | 0.549810i | ||||
\(616\) | −1.91300e8 | + | 1.96710e9i | −0.0329747 | + | 0.339074i | ||||
\(617\) | 4.88626e9 | + | 4.88626e9i | 0.837487 | + | 0.837487i | 0.988528 | − | 0.151040i | \(-0.0482623\pi\) |
−0.151040 | + | 0.988528i | \(0.548262\pi\) | |||||||
\(618\) | −5.72933e7 | + | 1.77235e9i | −0.00976437 | + | 0.302058i | ||||
\(619\) | −2.51267e8 | − | 6.06611e8i | −0.0425812 | − | 0.102800i | 0.901158 | − | 0.433491i | \(-0.142718\pi\) |
−0.943739 | + | 0.330691i | \(0.892718\pi\) | |||||||
\(620\) | −5.14382e9 | − | 2.53141e9i | −0.866791 | − | 0.426571i | ||||
\(621\) | 4.01384e9 | + | 1.66258e9i | 0.672572 | + | 0.278589i | ||||
\(622\) | 3.77805e9 | + | 1.00256e10i | 0.629508 | + | 1.67048i | ||||
\(623\) | 2.27550e9i | 0.377024i | ||||||||
\(624\) | 2.45961e9 | + | 3.19456e9i | 0.405247 | + | 0.526338i | ||||
\(625\) | 3.69516e9i | 0.605416i | ||||||||
\(626\) | 9.88043e9 | − | 3.72336e9i | 1.60978 | − | 0.606631i | ||||
\(627\) | 1.13861e9 | + | 4.71628e8i | 0.184476 | + | 0.0764123i | ||||
\(628\) | −4.12571e9 | + | 1.40426e9i | −0.664721 | + | 0.226251i | ||||
\(629\) | −1.17105e9 | − | 2.82717e9i | −0.187629 | − | 0.452976i | ||||
\(630\) | 6.31683e9 | + | 2.04198e8i | 1.00648 | + | 0.0325357i | ||||
\(631\) | −1.31736e9 | − | 1.31736e9i | −0.208737 | − | 0.208737i | 0.594993 | − | 0.803731i | \(-0.297155\pi\) |
−0.803731 | + | 0.594993i | \(0.797155\pi\) | |||||||
\(632\) | 6.26959e9 | − | 1.91029e9i | 0.987938 | − | 0.301015i | ||||
\(633\) | −1.71251e9 | + | 1.71251e9i | −0.268361 | + | 0.268361i | ||||
\(634\) | 8.19149e9 | − | 7.67847e9i | 1.27659 | − | 1.19664i | ||||
\(635\) | −1.50287e9 | + | 6.22509e8i | −0.232924 | + | 0.0964801i | ||||
\(636\) | 2.06606e8 | + | 2.35200e8i | 0.0318451 | + | 0.0362524i | ||||
\(637\) | 5.95202e9 | − | 1.43694e10i | 0.912381 | − | 2.20268i | ||||
\(638\) | −6.84515e8 | − | 3.09811e8i | −0.104354 | − | 0.0472307i | ||||
\(639\) | −1.52746e9 | −0.231588 | ||||||||
\(640\) | 4.69379e9 | − | 2.93750e9i | 0.707772 | − | 0.442943i | ||||
\(641\) | 2.59445e9 | 0.389084 | 0.194542 | − | 0.980894i | \(-0.437678\pi\) | ||||
0.194542 | + | 0.980894i | \(0.437678\pi\) | |||||||
\(642\) | 3.89078e9 | + | 1.76097e9i | 0.580316 | + | 0.262651i | ||||
\(643\) | −5.48985e8 | + | 1.32537e9i | −0.0814370 | + | 0.196606i | −0.959353 | − | 0.282208i | \(-0.908933\pi\) |
0.877916 | + | 0.478814i | \(0.158933\pi\) | |||||||
\(644\) | −6.02462e9 | − | 6.85841e9i | −0.888851 | − | 1.01187i | ||||
\(645\) | −2.70675e8 | + | 1.12117e8i | −0.0397181 | + | 0.0164518i | ||||
\(646\) | −1.27797e10 | + | 1.19793e10i | −1.86512 | + | 1.74831i | ||||
\(647\) | 5.51378e8 | − | 5.51378e8i | 0.0800358 | − | 0.0800358i | −0.665956 | − | 0.745991i | \(-0.731976\pi\) |
0.745991 | + | 0.665956i | \(0.231976\pi\) | |||||||
\(648\) | 1.26730e9 | − | 3.86134e8i | 0.182964 | − | 0.0557475i | ||||
\(649\) | −5.96451e8 | − | 5.96451e8i | −0.0856482 | − | 0.0856482i | ||||
\(650\) | 2.57264e9 | + | 8.31635e7i | 0.367437 | + | 0.0118778i | ||||
\(651\) | −2.93662e9 | − | 7.08962e9i | −0.417171 | − | 1.00714i | ||||
\(652\) | 7.99752e9 | − | 2.72211e9i | 1.13003 | − | 0.384626i | ||||
\(653\) | −1.34674e9 | − | 5.57838e8i | −0.189272 | − | 0.0783992i | 0.286034 | − | 0.958219i | \(-0.407663\pi\) |
−0.475307 | + | 0.879820i | \(0.657663\pi\) | |||||||
\(654\) | −3.16878e9 | + | 1.19413e9i | −0.442966 | + | 0.166928i | ||||
\(655\) | − | 3.46094e9i | − | 0.481226i | ||||||
\(656\) | −9.74928e9 | + | 7.50633e9i | −1.34837 | + | 1.03816i | ||||
\(657\) | − | 8.77011e9i | − | 1.20650i | ||||||
\(658\) | 5.23112e9 | + | 1.38815e10i | 0.715821 | + | 1.89953i | ||||
\(659\) | −6.84507e9 | − | 2.83532e9i | −0.931707 | − | 0.385925i | −0.135381 | − | 0.990794i | \(-0.543226\pi\) |
−0.796326 | + | 0.604868i | \(0.793226\pi\) | |||||||
\(660\) | 5.99154e8 | + | 2.94859e8i | 0.0811213 | + | 0.0399219i | ||||
\(661\) | −1.12243e8 | − | 2.70979e8i | −0.0151166 | − | 0.0364947i | 0.916141 | − | 0.400856i | \(-0.131287\pi\) |
−0.931258 | + | 0.364361i | \(0.881287\pi\) | |||||||
\(662\) | 2.96105e8 | − | 9.15993e9i | 0.0396682 | − | 1.22713i | ||||
\(663\) | −4.88658e9 | − | 4.88658e9i | −0.651190 | − | 0.651190i | ||||
\(664\) | −6.67369e8 | + | 6.86245e9i | −0.0884662 | + | 0.909685i | ||||
\(665\) | −1.42143e10 | + | 1.42143e10i | −1.87434 | + | 1.87434i | ||||
\(666\) | −1.29168e9 | − | 1.37798e9i | −0.169432 | − | 0.180752i | ||||
\(667\) | 3.20629e9 | − | 1.32809e9i | 0.418372 | − | 0.173295i | ||||
\(668\) | 7.11886e9 | + | 4.60731e8i | 0.924044 | + | 0.0598040i | ||||
\(669\) | −2.29600e9 | + | 5.54304e9i | −0.296470 | + | 0.715743i | ||||
\(670\) | −7.96921e8 | + | 1.76076e9i | −0.102366 | + | 0.226172i | ||||
\(671\) | −9.65672e8 | −0.123396 | ||||||||
\(672\) | 7.31517e9 | + | 1.19234e9i | 0.929891 | + | 0.151568i | ||||
\(673\) | −5.35245e9 | −0.676862 | −0.338431 | − | 0.940991i | \(-0.609896\pi\) | ||||
−0.338431 | + | 0.940991i | \(0.609896\pi\) | |||||||
\(674\) | 6.85750e8 | − | 1.51514e9i | 0.0862693 | − | 0.190608i | ||||
\(675\) | −8.61800e8 | + | 2.08057e9i | −0.107856 | + | 0.260387i | ||||
\(676\) | −2.45594e8 | + | 3.79473e9i | −0.0305777 | + | 0.472463i | ||||
\(677\) | −1.02357e9 | + | 4.23978e8i | −0.126782 | + | 0.0525150i | −0.445173 | − | 0.895445i | \(-0.646858\pi\) |
0.318390 | + | 0.947960i | \(0.396858\pi\) | |||||||
\(678\) | 9.67994e8 | + | 1.03267e9i | 0.119280 | + | 0.127250i | ||||
\(679\) | −6.94634e9 | + | 6.94634e9i | −0.851553 | + | 0.851553i | ||||
\(680\) | −7.32933e9 | + | 6.03013e9i | −0.893888 | + | 0.735437i | ||||
\(681\) | −2.48071e9 | − | 2.48071e9i | −0.300996 | − | 0.300996i | ||||
\(682\) | −6.12788e7 | + | 1.89565e9i | −0.00739716 | + | 0.228830i | ||||
\(683\) | 3.77606e9 | + | 9.11621e9i | 0.453488 | + | 1.09482i | 0.970987 | + | 0.239134i | \(0.0768634\pi\) |
−0.517498 | + | 0.855684i | \(0.673137\pi\) | |||||||
\(684\) | −4.77376e9 | + | 9.70027e9i | −0.570379 | + | 1.15901i | ||||
\(685\) | −5.34624e9 | − | 2.21448e9i | −0.635523 | − | 0.263242i | ||||
\(686\) | −4.94924e9 | − | 1.31335e10i | −0.585335 | − | 1.55326i | ||||
\(687\) | 5.28310e9i | 0.621642i | ||||||||
\(688\) | 7.75974e8 | − | 2.09287e8i | 0.0908422 | − | 0.0245009i | ||||
\(689\) | 9.18928e8i | 0.107032i | ||||||||
\(690\) | −2.88627e9 | + | 1.08767e9i | −0.334476 | + | 0.126044i | ||||
\(691\) | 1.11217e10 | + | 4.60675e9i | 1.28232 | + | 0.531155i | 0.916688 | − | 0.399604i | \(-0.130852\pi\) |
0.365634 | + | 0.930759i | \(0.380852\pi\) | |||||||
\(692\) | −3.68321e9 | − | 1.08212e10i | −0.422527 | − | 1.24138i | ||||
\(693\) | −8.00149e8 | − | 1.93173e9i | −0.0913281 | − | 0.220486i | ||||
\(694\) | 1.89109e9 | + | 6.11316e7i | 0.214761 | + | 0.00694237i | ||||
\(695\) | −4.30490e9 | − | 4.30490e9i | −0.486426 | − | 0.486426i | ||||
\(696\) | −1.32520e9 | + | 2.48663e9i | −0.148987 | + | 0.279562i | ||||
\(697\) | 1.49131e10 | − | 1.49131e10i | 1.66821 | − | 1.66821i | ||||
\(698\) | 4.01456e9 | − | 3.76314e9i | 0.446832 | − | 0.418848i | ||||
\(699\) | 4.22566e9 | − | 1.75032e9i | 0.467977 | − | 0.193842i | ||||
\(700\) | 3.55505e9 | − | 3.12286e9i | 0.391744 | − | 0.344119i | ||||
\(701\) | 1.10530e9 | − | 2.66842e9i | 0.121190 | − | 0.292578i | −0.851629 | − | 0.524145i | \(-0.824385\pi\) |
0.972819 | + | 0.231567i | \(0.0743852\pi\) | |||||||
\(702\) | −9.43286e9 | − | 4.26931e9i | −1.02911 | − | 0.465777i | ||||
\(703\) | 6.00733e9 | 0.652135 | ||||||||
\(704\) | −1.52565e9 | − | 1.01398e9i | −0.164797 | − | 0.109528i | ||||
\(705\) | 5.01224e9 | 0.538729 | ||||||||
\(706\) | −3.95431e9 | − | 1.78972e9i | −0.422917 | − | 0.191412i | ||||
\(707\) | −2.40277e9 | + | 5.80079e9i | −0.255708 | + | 0.617333i | ||||
\(708\) | −2.37656e9 | + | 2.08764e9i | −0.251671 | + | 0.221075i | ||||
\(709\) | 9.19053e9 | − | 3.80684e9i | 0.968453 | − | 0.401146i | 0.158317 | − | 0.987388i | \(-0.449393\pi\) |
0.810136 | + | 0.586242i | \(0.199393\pi\) | |||||||
\(710\) | 1.92057e9 | − | 1.80029e9i | 0.201384 | − | 0.188772i | ||||
\(711\) | −4.90300e9 | + | 4.90300e9i | −0.511585 | + | 0.511585i | ||||
\(712\) | −1.86130e9 | − | 9.91943e8i | −0.193257 | − | 0.102993i | ||||
\(713\) | −6.19453e9 | − | 6.19453e9i | −0.640022 | − | 0.640022i | ||||
\(714\) | −1.26975e10 | − | 4.10462e8i | −1.30550 | − | 0.0422016i | ||||
\(715\) | 7.50118e8 | + | 1.81094e9i | 0.0767465 | + | 0.185282i | ||||
\(716\) | −3.16161e9 | − | 9.28876e9i | −0.321894 | − | 0.945719i | ||||
\(717\) | −1.64443e9 | − | 6.81147e8i | −0.166609 | − | 0.0690118i | ||||
\(718\) | −7.69118e9 | + | 2.89836e9i | −0.775457 | + | 0.292224i | ||||
\(719\) | − | 8.42750e9i | − | 0.845567i | −0.906231 | − | 0.422783i | \(-0.861053\pi\) | ||
0.906231 | − | 0.422783i | \(-0.138947\pi\) | |||||||
\(720\) | −2.92068e9 | + | 5.07798e9i | −0.291621 | + | 0.507022i | ||||
\(721\) | 9.56889e9i | 0.950798i | ||||||||
\(722\) | −8.55973e9 | − | 2.27144e10i | −0.846408 | − | 2.24606i | ||||
\(723\) | 2.96374e9 | + | 1.22762e9i | 0.291646 | + | 0.120804i | ||||
\(724\) | 3.68386e9 | − | 7.48560e9i | 0.360760 | − | 0.733064i | ||||
\(725\) | 6.88415e8 | + | 1.66198e9i | 0.0670914 | + | 0.161973i | ||||
\(726\) | −1.75160e8 | + | 5.41854e9i | −0.0169886 | + | 0.525538i | ||||
\(727\) | −1.75922e9 | − | 1.75922e9i | −0.169805 | − | 0.169805i | 0.617089 | − | 0.786893i | \(-0.288312\pi\) |
−0.786893 | + | 0.617089i | \(0.788312\pi\) | |||||||
\(728\) | 1.38224e10 | + | 1.68005e10i | 1.32778 | + | 1.61385i | ||||
\(729\) | 2.77572e9 | − | 2.77572e9i | 0.265356 | − | 0.265356i | ||||
\(730\) | 1.03366e10 | + | 1.10272e10i | 0.983439 | + | 1.04914i | ||||
\(731\) | −1.27274e9 | + | 5.27185e8i | −0.120511 | + | 0.0499174i | ||||
\(732\) | −2.33887e8 | + | 3.61384e9i | −0.0220403 | + | 0.340549i | ||||
\(733\) | −4.52370e9 | + | 1.09212e10i | −0.424258 | + | 1.02425i | 0.556820 | + | 0.830633i | \(0.312021\pi\) |
−0.981078 | + | 0.193615i | \(0.937979\pi\) | |||||||
\(734\) | −4.67234e8 | + | 1.03233e9i | −0.0436112 | + | 0.0963570i | ||||
\(735\) | −9.66077e9 | −0.897442 | ||||||||
\(736\) | 8.23626e9 | − | 1.93824e9i | 0.761478 | − | 0.179199i | ||||
\(737\) | 6.39399e8 | 0.0588350 | ||||||||
\(738\) | 5.36737e9 | − | 1.18590e10i | 0.491546 | − | 1.08605i | ||||
\(739\) | 6.55112e9 | − | 1.58158e10i | 0.597118 | − | 1.44157i | −0.279387 | − | 0.960178i | \(-0.590131\pi\) |
0.876505 | − | 0.481392i | \(-0.159869\pi\) | |||||||
\(740\) | 3.24822e9 | + | 2.10224e8i | 0.294669 | + | 0.0190709i | ||||
\(741\) | 1.25337e10 | − | 5.19164e9i | 1.13166 | − | 0.468749i | ||||
\(742\) | 1.15530e9 | + | 1.23249e9i | 0.103820 | + | 0.110757i | ||||
\(743\) | −1.32616e10 | + | 1.32616e10i | −1.18614 | + | 1.18614i | −0.208013 | + | 0.978126i | \(0.566700\pi\) |
−0.978126 | + | 0.208013i | \(0.933300\pi\) | |||||||
\(744\) | 7.07925e9 | + | 6.88452e8i | 0.630205 | + | 0.0612870i | ||||
\(745\) | 7.28072e8 | + | 7.28072e8i | 0.0645101 | + | 0.0645101i | ||||
\(746\) | −2.11546e8 | + | 6.54412e9i | −0.0186560 | + | 0.577119i | ||||
\(747\) | −2.79140e9 | − | 6.73904e9i | −0.245019 | − | 0.591529i | ||||
\(748\) | 2.81728e9 | + | 1.38646e9i | 0.246135 | + | 0.121130i | ||||
\(749\) | 2.12913e10 | + | 8.81915e9i | 1.85147 | + | 0.766903i | ||||
\(750\) | −2.42535e9 | − | 6.43598e9i | −0.209923 | − | 0.557058i | ||||
\(751\) | 7.70277e9i | 0.663601i | 0.943350 | + | 0.331801i | \(0.107656\pi\) | ||||
−0.943350 | + | 0.331801i | \(0.892344\pi\) | |||||||
\(752\) | −1.36350e10 | − | 1.77234e9i | −1.16921 | − | 0.151979i | ||||
\(753\) | 6.29736e9i | 0.537497i | ||||||||
\(754\) | −7.73959e9 | + | 2.91660e9i | −0.657534 | + | 0.247786i | ||||
\(755\) | 3.69190e9 | + | 1.52924e9i | 0.312202 | + | 0.129318i | ||||
\(756\) | −1.80191e10 | + | 6.13314e9i | −1.51672 | + | 0.516246i | ||||
\(757\) | 3.75960e9 | + | 9.07647e9i | 0.314997 | + | 0.760469i | 0.999505 | + | 0.0314639i | \(0.0100169\pi\) |
−0.684508 | + | 0.729005i | \(0.739983\pi\) | |||||||
\(758\) | −1.25945e10 | − | 4.07130e8i | −1.05036 | − | 0.0339540i | ||||
\(759\) | 7.21542e8 | + | 7.21542e8i | 0.0598984 | + | 0.0598984i | ||||
\(760\) | −5.43056e9 | − | 1.78232e10i | −0.448742 | − | 1.47278i | ||||
\(761\) | 1.33785e10 | − | 1.33785e10i | 1.10042 | − | 1.10042i | 0.106064 | − | 0.994359i | \(-0.466175\pi\) |
0.994359 | − | 0.106064i | \(-0.0338248\pi\) | |||||||
\(762\) | 1.47243e9 | − | 1.38021e9i | 0.120557 | − | 0.113006i | ||||
\(763\) | −1.68821e10 | + | 6.99280e9i | −1.37591 | + | 0.569922i | ||||
\(764\) | 2.27592e8 | + | 2.59090e8i | 0.0184642 | + | 0.0210196i | ||||
\(765\) | 3.84253e9 | − | 9.27669e9i | 0.310315 | − | 0.749166i | ||||
\(766\) | 2.00590e9 | + | 9.07871e8i | 0.161254 | + | 0.0729833i | ||||
\(767\) | −9.28526e9 | −0.743037 | ||||||||
\(768\) | −4.16415e9 | + | 5.46384e9i | −0.331712 | + | 0.435245i | ||||
\(769\) | 1.22117e10 | 0.968352 | 0.484176 | − | 0.874971i | \(-0.339119\pi\) | ||||
0.484176 | + | 0.874971i | \(0.339119\pi\) | |||||||
\(770\) | 3.28285e9 | + | 1.48582e9i | 0.259139 | + | 0.117286i | ||||
\(771\) | −2.77887e9 | + | 6.70878e9i | −0.218362 | + | 0.527173i | ||||
\(772\) | −5.33448e8 | − | 6.07276e8i | −0.0417284 | − | 0.0475035i | ||||
\(773\) | 1.46718e8 | − | 6.07727e7i | 0.0114250 | − | 0.00473239i | −0.376964 | − | 0.926228i | \(-0.623032\pi\) |
0.388389 | + | 0.921496i | \(0.373032\pi\) | |||||||
\(774\) | −6.20340e8 | + | 5.81489e8i | −0.0480880 | + | 0.0450763i | ||||
\(775\) | 3.21093e9 | − | 3.21093e9i | 0.247785 | − | 0.247785i | ||||
\(776\) | −2.65385e9 | − | 8.70998e9i | −0.203873 | − | 0.669115i | ||||
\(777\) | 3.08082e9 | + | 3.08082e9i | 0.235610 | + | 0.235610i | ||||
\(778\) | 2.76338e9 | + | 8.93293e7i | 0.210384 | + | 0.00680089i | ||||
\(779\) | 1.58440e10 | + | 3.82509e10i | 1.20084 | + | 2.89908i | ||||
\(780\) | 6.95879e9 | − | 2.36856e9i | 0.525052 | − | 0.178712i | ||||
\(781\) | −8.04592e8 | − | 3.33273e8i | −0.0604362 | − | 0.0250335i | ||||
\(782\) | −1.35715e10 | + | 5.11430e9i | −1.01485 | + | 0.382440i | ||||
\(783\) | − | 7.23624e9i | − | 0.538700i | ||||||
\(784\) | 2.62807e10 | + | 3.41607e9i | 1.94774 | + | 0.253175i | ||||
\(785\) | 7.94596e9i | 0.586277i | ||||||||
\(786\) | 1.51415e9 | + | 4.01801e9i | 0.111222 | + | 0.295143i | ||||
\(787\) | −8.34857e9 | − | 3.45809e9i | −0.610521 | − | 0.252886i | 0.0559301 | − | 0.998435i | \(-0.482188\pi\) |
−0.666451 | + | 0.745549i | \(0.732188\pi\) | |||||||
\(788\) | 2.12221e10 | + | 1.04439e10i | 1.54506 | + | 0.760365i | ||||
\(789\) | −4.14644e9 | − | 1.00104e10i | −0.300543 | − | 0.725574i | ||||
\(790\) | 3.86090e8 | − | 1.19436e10i | 0.0278608 | − | 0.861867i | ||||
\(791\) | 5.40076e9 | + | 5.40076e9i | 0.388005 | + | 0.388005i | ||||
\(792\) | 1.92890e9 | + | 1.87585e8i | 0.137966 | + | 0.0134171i | ||||
\(793\) | −7.51656e9 | + | 7.51656e9i | −0.535258 | + | 0.535258i | ||||
\(794\) | −1.64369e10 | − | 1.75350e10i | −1.16533 | − | 1.24318i | ||||
\(795\) | 5.27332e8 | − | 2.18428e8i | 0.0372220 | − | 0.0154178i | ||||
\(796\) | −9.51429e9 | − | 6.15763e8i | −0.668622 | − | 0.0432731i | ||||
\(797\) | 1.08593e10 | − | 2.62168e10i | 0.759800 | − | 1.83432i | 0.268678 | − | 0.963230i | \(-0.413413\pi\) |
0.491123 | − | 0.871090i | \(-0.336587\pi\) | |||||||
\(798\) | 1.02835e10 | − | 2.27209e10i | 0.716357 | − | 1.58276i | ||||
\(799\) | 2.35680e10 | 1.63459 | ||||||||
\(800\) | 1.00469e9 | + | 4.26926e9i | 0.0693770 | + | 0.294807i | ||||
\(801\) | 2.23131e9 | 0.153408 | ||||||||
\(802\) | −5.88654e9 | + | 1.30060e10i | −0.402948 | + | 0.890297i | ||||
\(803\) | 1.91353e9 | − | 4.61967e9i | 0.130416 | − | 0.314852i | ||||
\(804\) | 1.54863e8 | − | 2.39283e9i | 0.0105088 | − | 0.162374i | ||||
\(805\) | −1.53770e10 | + | 6.36935e9i | −1.03893 | + | 0.430338i | ||||
\(806\) | 1.42783e10 | + | 1.52322e10i | 0.960513 | + | 1.02469i | ||||
\(807\) | 9.98337e9 | − | 9.98337e9i | 0.668682 | − | 0.668682i | ||||
\(808\) | −3.69747e9 | − | 4.49409e9i | −0.246584 | − | 0.299711i | ||||
\(809\) | 2.45438e9 | + | 2.45438e9i | 0.162975 | + | 0.162975i | 0.783883 | − | 0.620908i | \(-0.213236\pi\) |
−0.620908 | + | 0.783883i | \(0.713236\pi\) | |||||||
\(810\) | 7.80419e7 | − | 2.41421e9i | 0.00515977 | − | 0.159616i | ||||
\(811\) | −2.81790e9 | − | 6.80302e9i | −0.185504 | − | 0.447846i | 0.803581 | − | 0.595196i | \(-0.202926\pi\) |
−0.989084 | + | 0.147350i | \(0.952926\pi\) | |||||||
\(812\) | −6.71371e9 | + | 1.36422e10i | −0.440064 | + | 0.894210i | ||||
\(813\) | −5.37043e9 | − | 2.22450e9i | −0.350503 | − | 0.145183i | ||||
\(814\) | −3.79737e8 | − | 1.00768e9i | −0.0246773 | − | 0.0654845i | ||||
\(815\) | − | 1.54029e10i | − | 0.996671i | ||||||
\(816\) | 5.87089e9 | − | 1.02073e10i | 0.378258 | − | 0.657651i | ||||
\(817\) | − | 2.70438e9i | − | 0.173496i | ||||||
\(818\) | 3.47051e9 | − | 1.30783e9i | 0.221696 | − | 0.0835442i | ||||
\(819\) | −2.12643e10 | − | 8.80795e9i | −1.35256 | − | 0.560249i | ||||
\(820\) | 7.22846e9 | + | 2.12371e10i | 0.457823 | + | 1.34508i | ||||
\(821\) | −3.18874e9 | − | 7.69830e9i | −0.201103 | − | 0.485505i | 0.790866 | − | 0.611990i | \(-0.209631\pi\) |
−0.991969 | + | 0.126484i | \(0.959631\pi\) | |||||||
\(822\) | 7.17560e9 | + | 2.31959e8i | 0.450616 | + | 0.0145667i | ||||
\(823\) | 1.12529e10 | + | 1.12529e10i | 0.703664 | + | 0.703664i | 0.965195 | − | 0.261531i | \(-0.0842273\pi\) |
−0.261531 | + | 0.965195i | \(0.584227\pi\) | |||||||
\(824\) | −7.82709e9 | − | 4.17129e9i | −0.487366 | − | 0.259732i | ||||
\(825\) | −3.74011e8 | + | 3.74011e8i | −0.0231897 | + | 0.0231897i | ||||
\(826\) | −1.24536e10 | + | 1.16737e10i | −0.768893 | + | 0.720739i | ||||
\(827\) | 1.53316e10 | − | 6.35055e9i | 0.942579 | − | 0.390429i | 0.142142 | − | 0.989846i | \(-0.454601\pi\) |
0.800437 | + | 0.599417i | \(0.204601\pi\) | |||||||
\(828\) | −6.72522e9 | + | 5.90763e9i | −0.411719 | + | 0.361665i | ||||
\(829\) | −5.28314e9 | + | 1.27546e10i | −0.322071 | + | 0.777547i | 0.677063 | + | 0.735925i | \(0.263252\pi\) |
−0.999133 | + | 0.0416219i | \(0.986748\pi\) | |||||||
\(830\) | 1.14526e10 | + | 5.18343e9i | 0.695231 | + | 0.314661i | ||||
\(831\) | −1.47439e10 | −0.891268 | ||||||||
\(832\) | −1.97679e10 | + | 3.98266e9i | −1.18995 | + | 0.239741i | ||||
\(833\) | −4.54258e10 | −2.72299 | ||||||||
\(834\) | 6.88121e9 | + | 3.11443e9i | 0.410756 | + | 0.185908i | ||||
\(835\) | 4.97740e9 | − | 1.20165e10i | 0.295869 | − | 0.714292i | ||||
\(836\) | −4.63106e9 | + | 4.06806e9i | −0.274131 | + | 0.240805i | ||||
\(837\) | −1.68758e10 | + | 6.99018e9i | −0.994776 | + | 0.412050i | ||||
\(838\) | 1.10291e10 | − | 1.03384e10i | 0.647420 | − | 0.606874i | ||||
\(839\) | 1.80748e10 | − | 1.80748e10i | 1.05659 | − | 1.05659i | 0.0582924 | − | 0.998300i | \(-0.481434\pi\) |
0.998300 | − | 0.0582924i | \(-0.0185656\pi\) | |||||||
\(840\) | 6.35549e9 | − | 1.19255e10i | 0.369974 | − | 0.694226i | ||||
\(841\) | 8.11016e9 | + | 8.11016e9i | 0.470157 | + | 0.470157i | ||||
\(842\) | 3.06699e10 | + | 9.91436e8i | 1.77060 | + | 0.0572364i | ||||
\(843\) | −4.78244e9 | − | 1.15458e10i | −0.274950 | − | 0.663787i | ||||
\(844\) | −3.90304e9 | − | 1.14671e10i | −0.223462 | − | 0.656529i | ||||
\(845\) | 6.40544e9 | + | 2.65322e9i | 0.365217 | + | 0.151278i | ||||
\(846\) | 1.36119e10 | − | 5.12954e9i | 0.772900 | − | 0.291261i | ||||
\(847\) | 2.92546e10i | 1.65425i | ||||||||
\(848\) | −1.51176e9 | + | 4.07735e8i | −0.0851331 | + | 0.0229611i | ||||
\(849\) | − | 1.38744e10i | − | 0.778101i | ||||||
\(850\) | −2.65100e9 | − | 7.03478e9i | −0.148062 | − | 0.392902i | ||||
\(851\) | 4.59529e9 | + | 1.90343e9i | 0.255599 | + | 0.105873i | ||||
\(852\) | −1.44208e9 | + | 2.93031e9i | −0.0798825 | + | 0.162321i | ||||
\(853\) | −3.35058e9 | − | 8.08901e9i | −0.184841 | − | 0.446245i | 0.804112 | − | 0.594478i | \(-0.202641\pi\) |
−0.988952 | + | 0.148233i | \(0.952641\pi\) | |||||||
\(854\) | −6.31374e8 | + | 1.95314e10i | −0.0346884 | + | 1.07308i | ||||
\(855\) | 1.39382e10 | + | 1.39382e10i | 0.762651 | + | 0.762651i | ||||
\(856\) | −1.64952e10 | + | 1.35712e10i | −0.898874 | + | 0.739540i | ||||
\(857\) | 1.09220e10 | − | 1.09220e10i | 0.592748 | − | 0.592748i | −0.345625 | − | 0.938373i | \(-0.612333\pi\) |
0.938373 | + | 0.345625i | \(0.112333\pi\) | |||||||
\(858\) | −1.66314e9 | − | 1.77426e9i | −0.0898925 | − | 0.0958984i | ||||
\(859\) | −1.38229e10 | + | 5.72565e9i | −0.744088 | + | 0.308211i | −0.722327 | − | 0.691552i | \(-0.756927\pi\) |
−0.0217614 | + | 0.999763i | \(0.506927\pi\) | |||||||
\(860\) | 9.46388e7 | − | 1.46229e9i | 0.00507370 | − | 0.0783949i | ||||
\(861\) | −1.14912e10 | + | 2.77423e10i | −0.613558 | + | 1.48126i | ||||
\(862\) | −1.03144e10 | + | 2.27892e10i | −0.548489 | + | 1.21186i | ||||
\(863\) | −1.43038e10 | −0.757552 | −0.378776 | − | 0.925488i | \(-0.623655\pi\) | ||||
−0.378776 | + | 0.925488i | \(0.623655\pi\) | |||||||
\(864\) | 2.83818e9 | − | 1.74127e10i | 0.149707 | − | 0.918476i | ||||
\(865\) | −2.08413e10 | −1.09488 | ||||||||
\(866\) | −1.35569e10 | + | 2.99535e10i | −0.709331 | + | 1.56724i | ||||
\(867\) | −3.70524e9 | + | 8.94523e9i | −0.193085 | + | 0.466149i | ||||
\(868\) | 3.83008e10 | + | 2.47882e9i | 1.98787 | + | 0.128655i | ||||
\(869\) | −3.65244e9 | + | 1.51289e9i | −0.188805 | + | 0.0782056i | ||||
\(870\) | 3.51340e9 | + | 3.74814e9i | 0.180888 | + | 0.192974i | ||||
\(871\) | 4.97693e9 | − | 4.97693e9i | 0.255210 | − | 0.255210i | ||||
\(872\) | 1.63937e9 | − | 1.68574e10i | 0.0837278 | − | 0.860961i | ||||
\(873\) | 6.81145e9 | + | 6.81145e9i | 0.346489 | + | 0.346489i | ||||
\(874\) | 9.19885e8 | − | 2.84564e10i | 0.0466062 | − | 1.44175i | ||||
\(875\) | −1.42028e10 | − | 3.42886e10i | −0.716713 | − | 1.73030i | ||||
\(876\) | −1.68247e10 | − | 8.27990e9i | −0.845637 | − | 0.416160i | ||||
\(877\) | −1.89585e10 | − | 7.85286e9i | −0.949084 | − | 0.393124i | −0.146198 | − | 0.989255i | \(-0.546704\pi\) |
−0.802887 | + | 0.596132i | \(0.796704\pi\) | |||||||
\(878\) | −3.85152e8 | − | 1.02205e9i | −0.0192044 | − | 0.0509615i | ||||
\(879\) | 1.50223e9i | 0.0746062i | ||||||||
\(880\) | −2.64642e9 | + | 2.03758e9i | −0.130909 | + | 0.100792i | ||||
\(881\) | − | 2.56384e10i | − | 1.26321i | −0.775291 | − | 0.631605i | \(-0.782397\pi\) | ||
0.775291 | − | 0.631605i | \(-0.217603\pi\) | |||||||
\(882\) | −2.62361e10 | + | 9.88686e9i | −1.28754 | + | 0.485197i | ||||
\(883\) | −3.32299e10 | − | 1.37643e10i | −1.62430 | − | 0.672807i | −0.629724 | − | 0.776819i | \(-0.716832\pi\) |
−0.994576 | + | 0.104012i | \(0.966832\pi\) | |||||||
\(884\) | 3.27208e10 | − | 1.11372e10i | 1.59309 | − | 0.542240i | ||||
\(885\) | 2.20710e9 | + | 5.32840e9i | 0.107034 | + | 0.258402i | ||||
\(886\) | 1.55738e10 | + | 5.03441e8i | 0.752277 | + | 0.0243182i | ||||
\(887\) | −7.22220e7 | − | 7.22220e7i | −0.00347485 | − | 0.00347485i | 0.705367 | − | 0.708842i | \(-0.250782\pi\) |
−0.708842 | + | 0.705367i | \(0.750782\pi\) | |||||||
\(888\) | −3.86303e9 | + | 1.17703e9i | −0.185133 | + | 0.0564082i | ||||
\(889\) | 7.70065e9 | − | 7.70065e9i | 0.367596 | − | 0.367596i | ||||
\(890\) | −2.80557e9 | + | 2.62986e9i | −0.133400 | + | 0.125046i | ||||
\(891\) | −7.38282e8 | + | 3.05806e8i | −0.0349664 | + | 0.0144835i | ||||
\(892\) | −1.98043e10 | − | 2.25452e10i | −0.934293 | − | 1.06360i | ||||
\(893\) | −1.77055e10 | + | 4.27448e10i | −0.832007 | + | 2.00864i | ||||
\(894\) | −1.16379e9 | − | 5.26733e8i | −0.0544747 | − | 0.0246552i | ||||
\(895\) | −1.78898e10 | −0.834114 | ||||||||
\(896\) | −2.15060e10 | + | 3.01943e10i | −0.998809 | + | 1.40232i | ||||
\(897\) | 1.12326e10 | 0.519646 | ||||||||
\(898\) | −1.12424e10 | − | 5.08830e9i | −0.518073 | − | 0.234480i | ||||
\(899\) | −5.58383e9 | + | 1.34806e10i | −0.256315 | + | 0.618798i | ||||
\(900\) | −3.06222e9 | − | 3.48602e9i | −0.140019 | − | 0.159397i | ||||
\(901\) | 2.47956e9 | − | 1.02707e9i | 0.112938 | − | 0.0467803i | ||||
\(902\) | 5.41476e9 | − | 5.07564e9i | 0.245672 | − | 0.230286i | ||||
\(903\) | 1.38693e9 | − | 1.38693e9i | 0.0626825 | − | 0.0626825i | ||||
\(904\) | −6.77198e9 | + | 2.06336e9i | −0.304878 | + | 0.0928936i | ||||
\(905\) | −1.07560e10 | − | 1.07560e10i | −0.482370 | − | 0.482370i | ||||
\(906\) | −4.95519e9 | − | 1.60182e8i | −0.221366 | − | 0.00715590i | ||||
\(907\) | 7.29680e9 | + | 1.76160e10i | 0.324718 | + | 0.783939i | 0.998967 | + | 0.0454351i | \(0.0144674\pi\) |
−0.674249 | + | 0.738504i | \(0.735533\pi\) | |||||||
\(908\) | 1.66110e10 | − | 5.65387e9i | 0.736368 | − | 0.250637i | ||||
\(909\) | 5.68815e9 | + | 2.35611e9i | 0.251187 | + | 0.104045i | ||||
\(910\) | 3.71181e10 | − | 1.39876e10i | 1.63283 | − | 0.615318i | ||||
\(911\) | − | 3.45790e10i | − | 1.51530i | −0.652662 | − | 0.757649i | \(-0.726348\pi\) | ||
0.652662 | − | 0.757649i | \(-0.273652\pi\) | |||||||
\(912\) | 1.41023e10 | + | 1.83161e10i | 0.615612 | + | 0.799562i | ||||
\(913\) | − | 4.15885e9i | − | 0.180853i | ||||||
\(914\) | 8.75331e9 | + | 2.32281e10i | 0.379193 | + | 1.00624i | ||||
\(915\) | 6.10010e9 | + | 2.52674e9i | 0.263247 | + | 0.109040i | ||||
\(916\) | −2.37085e10 | − | 1.16675e10i | −1.01922 | − | 0.501586i | ||||
\(917\) | 8.86685e9 | + | 2.14065e10i | 0.379732 | + | 0.916753i | ||||
\(918\) | −9.77044e8 | + | 3.02246e10i | −0.0416836 | + | 1.28947i | ||||
\(919\) | 2.04191e10 | + | 2.04191e10i | 0.867824 | + | 0.867824i | 0.992231 | − | 0.124407i | \(-0.0397028\pi\) |
−0.124407 | + | 0.992231i | \(0.539703\pi\) | |||||||
\(920\) | 1.49321e9 | − | 1.53545e10i | 0.0632215 | − | 0.650097i | ||||
\(921\) | 1.34340e10 | − | 1.34340e10i | 0.566627 | − | 0.566627i | ||||
\(922\) | 1.71517e10 | + | 1.82976e10i | 0.720689 | + | 0.768839i | ||||
\(923\) | −8.85687e9 | + | 3.66863e9i | −0.370744 | + | 0.153567i | ||||
\(924\) | −4.46129e9 | − | 2.88734e8i | −0.186041 | − | 0.0120405i | ||||
\(925\) | −9.86644e8 | + | 2.38197e9i | −0.0409887 | + | 0.0989555i | ||||
\(926\) | −2.06210e9 | + | 4.55613e9i | −0.0853438 | + | 0.188564i | ||||
\(927\) | 9.38307e9 | 0.386871 | ||||||||
\(928\) | −8.23233e9 | − | 1.14386e10i | −0.338146 | − | 0.469845i | ||||
\(929\) | 8.92640e9 | 0.365276 | 0.182638 | − | 0.983180i | \(-0.441536\pi\) | ||||
0.182638 | + | 0.983180i | \(0.441536\pi\) | |||||||
\(930\) | 5.34718e9 | − | 1.18144e10i | 0.217989 | − | 0.481637i | ||||
\(931\) | 3.41262e10 | − | 8.23878e10i | 1.38600 | − | 3.34610i | ||||
\(932\) | −1.47746e9 | + | 2.28286e10i | −0.0597806 | + | 0.923684i | ||||
\(933\) | −2.23901e10 | + | 9.27428e9i | −0.902547 | + | 0.373847i | ||||
\(934\) | −1.26634e8 | − | 1.35094e8i | −0.00508551 | − | 0.00542529i | ||||
\(935\) | 4.04812e9 | − | 4.04812e9i | 0.161962 | − | 0.161962i | ||||
\(936\) | 1.64742e10 | − | 1.35540e10i | 0.656659 | − | 0.540260i | ||||
\(937\) | 1.41226e10 | + | 1.41226e10i | 0.560824 | + | 0.560824i | 0.929541 | − | 0.368718i | \(-0.120203\pi\) |
−0.368718 | + | 0.929541i | \(0.620203\pi\) | |||||||
\(938\) | 4.18051e8 | − | 1.29323e10i | 0.0165394 | − | 0.511642i | ||||
\(939\) | 9.14003e9 | + | 2.20660e10i | 0.360262 | + | 0.869748i | ||||
\(940\) | −1.10694e10 | + | 2.24929e10i | −0.434685 | + | 0.883280i | ||||
\(941\) | 1.88075e10 | + | 7.79032e9i | 0.735813 | + | 0.304784i | 0.718938 | − | 0.695074i | \(-0.244628\pi\) |
0.0168748 | + | 0.999858i | \(0.494628\pi\) | |||||||
\(942\) | −3.47634e9 | − | 9.22494e9i | −0.135502 | − | 0.359572i | ||||
\(943\) | 3.42802e10i | 1.33123i | ||||||||
\(944\) | −4.11994e9 | − | 1.52756e10i | −0.159400 | − | 0.591010i | ||||
\(945\) | 3.47041e10i | 1.33773i | ||||||||
\(946\) | −4.53639e8 | + | 1.70950e8i | −0.0174217 | + | 0.00656523i | ||||
\(947\) | 1.74498e10 | + | 7.22794e9i | 0.667675 | + | 0.276560i | 0.690664 | − | 0.723175i | \(-0.257318\pi\) |
−0.0229889 | + | 0.999736i | \(0.507318\pi\) | |||||||
\(948\) | 4.77707e9 | + | 1.40350e10i | 0.182109 | + | 0.535034i | ||||
\(949\) | −2.10639e10 | − | 5.08528e10i | −0.800033 | − | 1.93145i | ||||
\(950\) | 1.47504e10 | + | 4.76822e8i | 0.558175 | + | 0.0180436i | ||||
\(951\) | 1.79585e10 | + | 1.79585e10i | 0.677077 | + | 0.677077i | ||||
\(952\) | 2.98841e10 | − | 5.60750e10i | 1.12256 | − | 2.10640i | ||||
\(953\) | −1.32324e10 | + | 1.32324e10i | −0.495236 | + | 0.495236i | −0.909951 | − | 0.414715i | \(-0.863881\pi\) |
0.414715 | + | 0.909951i | \(0.363881\pi\) | |||||||
\(954\) | 1.20856e9 | − | 1.13287e9i | 0.0450658 | − | 0.0422435i | ||||
\(955\) | 5.80897e8 | − | 2.40615e8i | 0.0215818 | − | 0.00893947i | ||||
\(956\) | 6.68839e9 | − | 5.87527e9i | 0.247582 | − | 0.217483i | ||||
\(957\) | 6.50407e8 | − | 1.57022e9i | 0.0239880 | − | 0.0579121i | ||||
\(958\) | −2.24242e10 | − | 1.01492e10i | −0.824021 | − | 0.372952i | ||||
\(959\) | 3.87409e10 | 1.41842 | ||||||||
\(960\) | 6.98427e9 | + | 1.03972e10i | 0.254784 | + | 0.379287i | ||||
\(961\) | 9.31964e9 | 0.338741 | ||||||||
\(962\) | −1.07993e10 | − | 4.88778e9i | −0.391097 | − | 0.177010i | ||||
\(963\) | 8.64789e9 | − | 2.08779e10i | 0.312046 | − | 0.753345i | ||||
\(964\) | −1.20544e10 | + | 1.05889e10i | −0.433387 | + | 0.380700i | ||||
\(965\) | −1.36155e9 | + | 5.63973e8i | −0.0487740 | + | 0.0202028i | ||||
\(966\) | 1.50655e10 | − | 1.41220e10i | 0.537728 | − | 0.504052i | ||||
\(967\) | 2.86986e10 | − | 2.86986e10i | 1.02063 | − | 1.02063i | 0.0208468 | − | 0.999783i | \(-0.493364\pi\) |
0.999783 | − | 0.0208468i | \(-0.00663623\pi\) | |||||||
\(968\) | −2.39294e10 | − | 1.27527e10i | −0.847947 | − | 0.451897i | ||||
\(969\) | −2.80174e10 | − | 2.80174e10i | −0.989224 | − | 0.989224i | ||||
\(970\) | −1.65925e10 | − | 5.36372e8i | −0.583730 | − | 0.0188697i | ||||
\(971\) | −1.28933e9 | − | 3.11271e9i | −0.0451956 | − | 0.109112i | 0.899670 | − | 0.436572i | \(-0.143807\pi\) |
−0.944865 | + | 0.327460i | \(0.893807\pi\) | |||||||
\(972\) | 9.55062e9 | + | 2.80596e10i | 0.333580 | + | 0.980052i | ||||
\(973\) | 3.76556e10 | + | 1.55975e10i | 1.31049 | + | 0.542824i | ||||
\(974\) | 4.17908e9 | − | 1.57485e9i | 0.144919 | − | 0.0546114i | ||||
\(975\) | 5.82242e9i | 0.201181i | ||||||||
\(976\) | −1.57009e10 | − | 9.03063e9i | −0.540569 | − | 0.310916i | ||||
\(977\) | 3.90751e10i | 1.34051i | 0.742132 | + | 0.670254i | \(0.233815\pi\) | ||||
−0.742132 | + | 0.670254i | \(0.766185\pi\) | |||||||
\(978\) | 6.73875e9 | + | 1.78822e10i | 0.230353 | + | 0.611272i | ||||
\(979\) | 1.17535e9 | + | 4.86845e8i | 0.0400338 | + | 0.0165826i | ||||
\(980\) | 2.13355e10 | − | 4.33537e10i | 0.724121 | − | 1.47141i | ||||
\(981\) | 6.85700e9 | + | 1.65543e10i | 0.231896 | + | 0.559846i | ||||
\(982\) | −1.02222e8 | + | 3.16220e9i | −0.00344471 | + | 0.106561i | ||||
\(983\) | −2.80283e10 | − | 2.80283e10i | −0.941150 | − | 0.941150i | 0.0572117 | − | 0.998362i | \(-0.481779\pi\) |
−0.998362 | + | 0.0572117i | \(0.981779\pi\) | |||||||
\(984\) | −1.76831e10 | − | 2.14930e10i | −0.591666 | − | 0.719141i | ||||
\(985\) | 3.04938e10 | − | 3.04938e10i | 1.01668 | − | 1.01668i | ||||
\(986\) | 1.65203e10 | + | 1.76241e10i | 0.548845 | + | 0.585514i | ||||
\(987\) | −3.10016e10 | + | 1.28413e10i | −1.02630 | + | 0.425106i | ||||
\(988\) | −4.38230e9 | + | 6.77119e10i | −0.144561 | + | 2.23365i | ||||
\(989\) | 8.56888e8 | − | 2.06871e9i | 0.0281668 | − | 0.0680006i | ||||
\(990\) | 1.45696e9 | − | 3.21910e9i | 0.0477227 | − | 0.105441i | ||||
\(991\) | −2.22017e10 | −0.724649 | −0.362324 | − | 0.932052i | \(-0.618017\pi\) | ||||
−0.362324 | + | 0.932052i | \(0.618017\pi\) | |||||||
\(992\) | −1.87238e10 | + | 3.02484e10i | −0.608979 | + | 0.983811i | ||||
\(993\) | 2.07308e10 | 0.671883 | ||||||||
\(994\) | −7.26675e9 | + | 1.60556e10i | −0.234686 | + | 0.518529i | ||||
\(995\) | −6.65225e9 | + | 1.60600e10i | −0.214086 | + | 0.516849i | ||||
\(996\) | −1.55637e10 | − | 1.00728e9i | −0.499120 | − | 0.0323029i | ||||
\(997\) | −1.21721e10 | + | 5.04184e9i | −0.388984 | + | 0.161122i | −0.568599 | − | 0.822615i | \(-0.692515\pi\) |
0.179616 | + | 0.983737i | \(0.442515\pi\) | |||||||
\(998\) | −2.22809e9 | − | 2.37696e9i | −0.0709540 | − | 0.0756945i | ||||
\(999\) | 7.33345e9 | − | 7.33345e9i | 0.232718 | − | 0.232718i |
(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 | 32.8.g.a.13.4 | yes | 108 | |
32.5 | even | 8 | inner | 32.8.g.a.5.4 | ✓ | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.8.g.a.5.4 | ✓ | 108 | 32.5 | even | 8 | inner | |
32.8.g.a.13.4 | yes | 108 | 1.1 | even | 1 | trivial |