Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,3,Mod(7,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.j (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.94278685509\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 7.6 | ||
Character | \(\chi\) | \(=\) | 108.7 |
Dual form | 108.3.j.a.31.6 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.85742 | + | 0.741613i | −0.928710 | + | 0.370806i | ||||
\(3\) | −2.48687 | + | 1.67794i | −0.828957 | + | 0.559312i | ||||
\(4\) | 2.90002 | − | 2.75497i | 0.725005 | − | 0.688743i | ||||
\(5\) | 1.04974 | + | 5.95339i | 0.209949 | + | 1.19068i | 0.889460 | + | 0.457013i | \(0.151081\pi\) |
−0.679512 | + | 0.733665i | \(0.737808\pi\) | |||||||
\(6\) | 3.37478 | − | 4.96093i | 0.562464 | − | 0.826822i | ||||
\(7\) | −1.18627 | + | 1.41374i | −0.169467 | + | 0.201963i | −0.844093 | − | 0.536197i | \(-0.819861\pi\) |
0.674626 | + | 0.738160i | \(0.264305\pi\) | |||||||
\(8\) | −3.34343 | + | 7.26784i | −0.417929 | + | 0.908480i | ||||
\(9\) | 3.36905 | − | 8.34563i | 0.374339 | − | 0.927292i | ||||
\(10\) | −6.36492 | − | 10.2794i | −0.636492 | − | 1.02794i | ||||
\(11\) | −14.9684 | − | 2.63934i | −1.36077 | − | 0.239940i | −0.554840 | − | 0.831957i | \(-0.687221\pi\) |
−0.805925 | + | 0.592017i | \(0.798332\pi\) | |||||||
\(12\) | −2.58930 | + | 11.7173i | −0.215775 | + | 0.976443i | ||||
\(13\) | −6.81461 | − | 2.48032i | −0.524201 | − | 0.190794i | 0.0663462 | − | 0.997797i | \(-0.478866\pi\) |
−0.590547 | + | 0.807003i | \(0.701088\pi\) | |||||||
\(14\) | 1.15495 | − | 3.50567i | 0.0824967 | − | 0.250405i | ||||
\(15\) | −12.6000 | − | 13.0439i | −0.839999 | − | 0.869593i | ||||
\(16\) | 0.820241 | − | 15.9790i | 0.0512650 | − | 0.998685i | ||||
\(17\) | 2.22420 | + | 3.85243i | 0.130835 | + | 0.226614i | 0.923999 | − | 0.382395i | \(-0.124901\pi\) |
−0.793163 | + | 0.609009i | \(0.791567\pi\) | |||||||
\(18\) | −0.0685244 | + | 17.9999i | −0.00380691 | + | 0.999993i | ||||
\(19\) | −30.1899 | − | 17.4301i | −1.58894 | − | 0.917376i | −0.993482 | − | 0.113990i | \(-0.963637\pi\) |
−0.595459 | − | 0.803385i | \(-0.703030\pi\) | |||||||
\(20\) | 19.4457 | + | 14.3729i | 0.972285 | + | 0.718646i | ||||
\(21\) | 0.577931 | − | 5.50628i | 0.0275205 | − | 0.262204i | ||||
\(22\) | 29.7600 | − | 6.19842i | 1.35273 | − | 0.281746i | ||||
\(23\) | 8.19924 | + | 9.77147i | 0.356489 | + | 0.424847i | 0.914247 | − | 0.405157i | \(-0.132783\pi\) |
−0.557759 | + | 0.830003i | \(0.688339\pi\) | |||||||
\(24\) | −3.88029 | − | 23.6842i | −0.161679 | − | 0.986843i | ||||
\(25\) | −10.8485 | + | 3.94854i | −0.433941 | + | 0.157942i | ||||
\(26\) | 14.4970 | − | 0.446815i | 0.557578 | − | 0.0171852i | ||||
\(27\) | 5.62504 | + | 26.4076i | 0.208335 | + | 0.978058i | ||||
\(28\) | 0.454613 | + | 7.36803i | 0.0162362 | + | 0.263144i | ||||
\(29\) | −26.3635 | + | 9.59554i | −0.909087 | + | 0.330881i | −0.753888 | − | 0.657003i | \(-0.771824\pi\) |
−0.155199 | + | 0.987883i | \(0.549602\pi\) | |||||||
\(30\) | 33.0770 | + | 14.8837i | 1.10257 | + | 0.496123i | ||||
\(31\) | 34.0099 | + | 40.5314i | 1.09709 | + | 1.30747i | 0.947868 | + | 0.318662i | \(0.103233\pi\) |
0.149225 | + | 0.988803i | \(0.452322\pi\) | |||||||
\(32\) | 10.3267 | + | 30.2879i | 0.322708 | + | 0.946498i | ||||
\(33\) | 41.6532 | − | 18.5524i | 1.26222 | − | 0.562193i | ||||
\(34\) | −6.98829 | − | 5.50609i | −0.205538 | − | 0.161944i | ||||
\(35\) | −9.66183 | − | 5.57826i | −0.276052 | − | 0.159379i | ||||
\(36\) | −13.2217 | − | 33.4841i | −0.367268 | − | 0.930115i | ||||
\(37\) | 1.20543 | + | 2.08787i | 0.0325793 | + | 0.0564289i | 0.881855 | − | 0.471520i | \(-0.156295\pi\) |
−0.849276 | + | 0.527949i | \(0.822961\pi\) | |||||||
\(38\) | 69.0017 | + | 9.98589i | 1.81583 | + | 0.262786i | ||||
\(39\) | 21.1089 | − | 5.26627i | 0.541253 | − | 0.135032i | ||||
\(40\) | −46.7780 | − | 12.2754i | −1.16945 | − | 0.306885i | ||||
\(41\) | −44.2880 | − | 16.1195i | −1.08019 | − | 0.393159i | −0.260214 | − | 0.965551i | \(-0.583793\pi\) |
−0.819980 | + | 0.572392i | \(0.806015\pi\) | |||||||
\(42\) | 3.01007 | + | 10.6561i | 0.0716683 | + | 0.253716i | ||||
\(43\) | 15.3959 | + | 2.71472i | 0.358045 | + | 0.0631330i | 0.349778 | − | 0.936833i | \(-0.386257\pi\) |
0.00826772 | + | 0.999966i | \(0.497368\pi\) | |||||||
\(44\) | −50.6800 | + | 33.5835i | −1.15182 | + | 0.763261i | ||||
\(45\) | 53.2214 | + | 11.2965i | 1.18270 | + | 0.251034i | ||||
\(46\) | −22.4761 | − | 12.0691i | −0.488610 | − | 0.262371i | ||||
\(47\) | 13.3190 | − | 15.8730i | 0.283383 | − | 0.337723i | −0.605510 | − | 0.795838i | \(-0.707031\pi\) |
0.888893 | + | 0.458115i | \(0.151475\pi\) | |||||||
\(48\) | 24.7719 | + | 41.1139i | 0.516080 | + | 0.856540i | ||||
\(49\) | 7.91733 | + | 44.9014i | 0.161578 | + | 0.916355i | ||||
\(50\) | 17.2220 | − | 15.3795i | 0.344440 | − | 0.307590i | ||||
\(51\) | −11.9954 | − | 5.84843i | −0.235205 | − | 0.114675i | ||||
\(52\) | −26.5957 | + | 11.5811i | −0.511456 | + | 0.222714i | ||||
\(53\) | −77.1717 | −1.45607 | −0.728035 | − | 0.685540i | \(-0.759566\pi\) | ||||
−0.728035 | + | 0.685540i | \(0.759566\pi\) | |||||||
\(54\) | −30.0322 | − | 44.8783i | −0.556153 | − | 0.831080i | ||||
\(55\) | − | 91.8834i | − | 1.67061i | ||||||
\(56\) | −6.30863 | − | 13.3484i | −0.112654 | − | 0.238364i | ||||
\(57\) | 104.325 | − | 7.31023i | 1.83026 | − | 0.128250i | ||||
\(58\) | 41.8520 | − | 37.3745i | 0.721586 | − | 0.644387i | ||||
\(59\) | 69.2241 | − | 12.2061i | 1.17329 | − | 0.206883i | 0.447169 | − | 0.894450i | \(-0.352432\pi\) |
0.726121 | + | 0.687567i | \(0.241321\pi\) | |||||||
\(60\) | −72.4758 | − | 3.11496i | −1.20793 | − | 0.0519160i | ||||
\(61\) | 25.1234 | + | 21.0811i | 0.411859 | + | 0.345591i | 0.825056 | − | 0.565051i | \(-0.191143\pi\) |
−0.413197 | + | 0.910642i | \(0.635588\pi\) | |||||||
\(62\) | −93.2293 | − | 50.0617i | −1.50370 | − | 0.807447i | ||||
\(63\) | 7.80196 | + | 14.6631i | 0.123841 | + | 0.232748i | ||||
\(64\) | −41.6429 | − | 48.5991i | −0.650670 | − | 0.759360i | ||||
\(65\) | 7.61269 | − | 43.1737i | 0.117118 | − | 0.664211i | ||||
\(66\) | −63.6088 | + | 65.3501i | −0.963769 | + | 0.990153i | ||||
\(67\) | −25.3557 | + | 69.6641i | −0.378443 | + | 1.03976i | 0.593559 | + | 0.804790i | \(0.297722\pi\) |
−0.972002 | + | 0.234973i | \(0.924500\pi\) | |||||||
\(68\) | 17.0636 | + | 5.04451i | 0.250935 | + | 0.0741840i | ||||
\(69\) | −36.7864 | − | 10.5426i | −0.533136 | − | 0.152791i | ||||
\(70\) | 22.0830 | + | 3.19584i | 0.315471 | + | 0.0456548i | ||||
\(71\) | −81.7673 | + | 47.2083i | −1.15165 | + | 0.664906i | −0.949289 | − | 0.314404i | \(-0.898195\pi\) |
−0.202362 | + | 0.979311i | \(0.564862\pi\) | |||||||
\(72\) | 49.3904 | + | 52.3888i | 0.685978 | + | 0.727622i | ||||
\(73\) | −42.1159 | + | 72.9468i | −0.576930 | + | 0.999272i | 0.418899 | + | 0.908033i | \(0.362416\pi\) |
−0.995829 | + | 0.0912391i | \(0.970917\pi\) | |||||||
\(74\) | −3.78739 | − | 2.98409i | −0.0511809 | − | 0.0403255i | ||||
\(75\) | 20.3535 | − | 28.0227i | 0.271380 | − | 0.373636i | ||||
\(76\) | −135.571 | + | 32.6246i | −1.78383 | + | 0.429271i | ||||
\(77\) | 21.4879 | − | 18.0305i | 0.279064 | − | 0.234163i | ||||
\(78\) | −35.3025 | + | 25.4363i | −0.452597 | + | 0.326106i | ||||
\(79\) | 0.961540 | + | 2.64181i | 0.0121714 | + | 0.0334406i | 0.945630 | − | 0.325246i | \(-0.105447\pi\) |
−0.933458 | + | 0.358686i | \(0.883225\pi\) | |||||||
\(80\) | 95.9900 | − | 11.8906i | 1.19987 | − | 0.148632i | ||||
\(81\) | −58.2990 | − | 56.2337i | −0.719740 | − | 0.694243i | ||||
\(82\) | 94.2158 | − | 2.90384i | 1.14897 | − | 0.0354126i | ||||
\(83\) | 19.3208 | + | 53.0836i | 0.232781 | + | 0.639561i | 0.999998 | − | 0.00182621i | \(-0.000581302\pi\) |
−0.767217 | + | 0.641388i | \(0.778359\pi\) | |||||||
\(84\) | −13.4937 | − | 17.5605i | −0.160639 | − | 0.209054i | ||||
\(85\) | −20.6002 | + | 17.2856i | −0.242355 | + | 0.203360i | ||||
\(86\) | −30.6100 | + | 6.37545i | −0.355930 | + | 0.0741332i | ||||
\(87\) | 49.4620 | − | 68.0992i | 0.568528 | − | 0.782749i | ||||
\(88\) | 69.2282 | − | 99.9636i | 0.786684 | − | 1.13595i | ||||
\(89\) | 55.7439 | − | 96.5512i | 0.626336 | − | 1.08485i | −0.361945 | − | 0.932199i | \(-0.617887\pi\) |
0.988281 | − | 0.152646i | \(-0.0487794\pi\) | |||||||
\(90\) | −107.232 | + | 18.4873i | −1.19147 | + | 0.205414i | ||||
\(91\) | 11.5905 | − | 6.69178i | 0.127368 | − | 0.0735361i | ||||
\(92\) | 50.6981 | + | 5.74879i | 0.551066 | + | 0.0624868i | ||||
\(93\) | −152.587 | − | 43.7299i | −1.64072 | − | 0.470214i | ||||
\(94\) | −12.9674 | + | 39.3604i | −0.137951 | + | 0.418727i | ||||
\(95\) | 72.0767 | − | 198.029i | 0.758702 | − | 2.08452i | ||||
\(96\) | −76.5024 | − | 57.9947i | −0.796900 | − | 0.604112i | ||||
\(97\) | −13.0319 | + | 73.9076i | −0.134350 | + | 0.761934i | 0.840961 | + | 0.541096i | \(0.181990\pi\) |
−0.975310 | + | 0.220838i | \(0.929121\pi\) | |||||||
\(98\) | −48.0053 | − | 77.5292i | −0.489850 | − | 0.791114i | ||||
\(99\) | −72.4563 | + | 116.029i | −0.731882 | + | 1.17201i | ||||
\(100\) | −20.5828 | + | 41.3383i | −0.205828 | + | 0.413383i | ||||
\(101\) | 9.66252 | + | 8.10782i | 0.0956685 | + | 0.0802754i | 0.689367 | − | 0.724412i | \(-0.257889\pi\) |
−0.593699 | + | 0.804687i | \(0.702333\pi\) | |||||||
\(102\) | 26.6179 | + | 1.96702i | 0.260959 | + | 0.0192845i | ||||
\(103\) | 112.669 | − | 19.8667i | 1.09388 | − | 0.192880i | 0.402533 | − | 0.915405i | \(-0.368130\pi\) |
0.691345 | + | 0.722525i | \(0.257019\pi\) | |||||||
\(104\) | 40.8107 | − | 41.2347i | 0.392411 | − | 0.396488i | ||||
\(105\) | 33.3877 | − | 2.33953i | 0.317978 | − | 0.0222813i | ||||
\(106\) | 143.340 | − | 57.2315i | 1.35227 | − | 0.539920i | ||||
\(107\) | 157.069i | 1.46793i | 0.679186 | + | 0.733967i | \(0.262333\pi\) | ||||
−0.679186 | + | 0.733967i | \(0.737667\pi\) | |||||||
\(108\) | 89.0648 | + | 61.0856i | 0.824674 | + | 0.565608i | ||||
\(109\) | 154.468 | 1.41714 | 0.708571 | − | 0.705640i | \(-0.249340\pi\) | ||||
0.708571 | + | 0.705640i | \(0.249340\pi\) | |||||||
\(110\) | 68.1419 | + | 170.666i | 0.619472 | + | 1.55151i | ||||
\(111\) | −6.50107 | − | 3.16962i | −0.0585682 | − | 0.0285552i | ||||
\(112\) | 21.6171 | + | 20.1150i | 0.193010 | + | 0.179598i | ||||
\(113\) | 1.75642 | + | 9.96117i | 0.0155436 | + | 0.0881520i | 0.991593 | − | 0.129398i | \(-0.0413045\pi\) |
−0.976049 | + | 0.217550i | \(0.930193\pi\) | |||||||
\(114\) | −188.354 | + | 90.9469i | −1.65223 | + | 0.797780i | ||||
\(115\) | −49.5663 | + | 59.0708i | −0.431011 | + | 0.513659i | ||||
\(116\) | −50.0193 | + | 100.458i | −0.431201 | + | 0.866018i | ||||
\(117\) | −43.6586 | + | 48.5159i | −0.373150 | + | 0.414666i | ||||
\(118\) | −119.526 | + | 74.0093i | −1.01293 | + | 0.627197i | ||||
\(119\) | −8.08486 | − | 1.42558i | −0.0679400 | − | 0.0119796i | ||||
\(120\) | 136.928 | − | 47.9632i | 1.14107 | − | 0.399693i | ||||
\(121\) | 103.385 | + | 37.6290i | 0.854420 | + | 0.310983i | ||||
\(122\) | −62.2987 | − | 20.5245i | −0.510645 | − | 0.168234i | ||||
\(123\) | 137.186 | − | 34.2253i | 1.11533 | − | 0.278255i | ||||
\(124\) | 210.292 | + | 23.8456i | 1.69591 | + | 0.192303i | ||||
\(125\) | 40.6700 | + | 70.4425i | 0.325360 | + | 0.563540i | ||||
\(126\) | −25.3659 | − | 21.4496i | −0.201317 | − | 0.170235i | ||||
\(127\) | −101.657 | − | 58.6920i | −0.800453 | − | 0.462141i | 0.0431768 | − | 0.999067i | \(-0.486252\pi\) |
−0.843629 | + | 0.536926i | \(0.819585\pi\) | |||||||
\(128\) | 113.390 | + | 59.3860i | 0.885860 | + | 0.463953i | ||||
\(129\) | −42.8429 | + | 19.0823i | −0.332115 | + | 0.147925i | ||||
\(130\) | 17.8782 | + | 85.8374i | 0.137525 | + | 0.660288i | ||||
\(131\) | −126.400 | − | 150.637i | −0.964884 | − | 1.14990i | −0.988658 | − | 0.150187i | \(-0.952012\pi\) |
0.0237735 | − | 0.999717i | \(-0.492432\pi\) | |||||||
\(132\) | 69.6837 | − | 168.556i | 0.527907 | − | 1.27694i | ||||
\(133\) | 60.4551 | − | 22.0039i | 0.454550 | − | 0.165443i | ||||
\(134\) | −4.56768 | − | 148.200i | −0.0340871 | − | 1.10597i | ||||
\(135\) | −151.310 | + | 61.2091i | −1.12081 | + | 0.453401i | ||||
\(136\) | −35.4353 | + | 3.28479i | −0.260554 | + | 0.0241529i | ||||
\(137\) | −88.0013 | + | 32.0298i | −0.642345 | + | 0.233794i | −0.642596 | − | 0.766206i | \(-0.722142\pi\) |
0.000250601 | 1.00000i | \(0.499920\pi\) | ||||||||
\(138\) | 76.1463 | − | 7.69924i | 0.551784 | − | 0.0557916i | ||||
\(139\) | 60.8206 | + | 72.4832i | 0.437558 | + | 0.521462i | 0.939087 | − | 0.343679i | \(-0.111673\pi\) |
−0.501529 | + | 0.865141i | \(0.667229\pi\) | |||||||
\(140\) | −43.3875 | + | 10.4410i | −0.309911 | + | 0.0745787i | ||||
\(141\) | −6.48880 | + | 61.8226i | −0.0460199 | + | 0.438458i | ||||
\(142\) | 116.866 | − | 148.325i | 0.822999 | − | 1.04455i | ||||
\(143\) | 95.4576 | + | 55.1125i | 0.667536 | + | 0.385402i | ||||
\(144\) | −130.591 | − | 60.6794i | −0.906882 | − | 0.421385i | ||||
\(145\) | −84.8008 | − | 146.879i | −0.584833 | − | 1.01296i | ||||
\(146\) | 24.1286 | − | 166.727i | 0.165264 | − | 1.14196i | ||||
\(147\) | −95.0311 | − | 98.3792i | −0.646470 | − | 0.669247i | ||||
\(148\) | 9.24781 | + | 2.73393i | 0.0624852 | + | 0.0184725i | ||||
\(149\) | 64.4681 | + | 23.4645i | 0.432672 | + | 0.157480i | 0.549169 | − | 0.835711i | \(-0.314944\pi\) |
−0.116497 | + | 0.993191i | \(0.537167\pi\) | |||||||
\(150\) | −17.0230 | + | 67.1443i | −0.113487 | + | 0.447629i | ||||
\(151\) | −160.992 | − | 28.3872i | −1.06617 | − | 0.187995i | −0.387078 | − | 0.922047i | \(-0.626516\pi\) |
−0.679093 | + | 0.734052i | \(0.737627\pi\) | |||||||
\(152\) | 227.617 | − | 161.139i | 1.49748 | − | 1.06012i | ||||
\(153\) | 39.6444 | − | 5.58332i | 0.259114 | − | 0.0364923i | ||||
\(154\) | −26.5405 | + | 49.4260i | −0.172341 | + | 0.320948i | ||||
\(155\) | −205.598 | + | 245.022i | −1.32644 | + | 1.58078i | ||||
\(156\) | 46.7078 | − | 73.4267i | 0.299409 | − | 0.470684i | ||||
\(157\) | −47.4761 | − | 269.250i | −0.302395 | − | 1.71497i | −0.635518 | − | 0.772086i | \(-0.719213\pi\) |
0.333122 | − | 0.942884i | \(-0.391898\pi\) | |||||||
\(158\) | −3.74518 | − | 4.19386i | −0.0237037 | − | 0.0265434i | ||||
\(159\) | 191.916 | − | 129.489i | 1.20702 | − | 0.814398i | ||||
\(160\) | −169.476 | + | 93.2732i | −1.05922 | + | 0.582958i | ||||
\(161\) | −23.5409 | −0.146217 | ||||||||
\(162\) | 149.989 | + | 61.2144i | 0.925860 | + | 0.377867i | ||||
\(163\) | 17.6410i | 0.108227i | 0.998535 | + | 0.0541135i | \(0.0172333\pi\) | ||||
−0.998535 | + | 0.0541135i | \(0.982767\pi\) | |||||||
\(164\) | −172.845 | + | 75.2653i | −1.05393 | + | 0.458935i | ||||
\(165\) | 154.175 | + | 228.502i | 0.934392 | + | 1.38486i | ||||
\(166\) | −75.2544 | − | 84.2700i | −0.453340 | − | 0.507650i | ||||
\(167\) | 71.8336 | − | 12.6662i | 0.430141 | − | 0.0758455i | 0.0456140 | − | 0.998959i | \(-0.485476\pi\) |
0.384527 | + | 0.923114i | \(0.374364\pi\) | |||||||
\(168\) | 38.0865 | + | 22.6102i | 0.226705 | + | 0.134585i | ||||
\(169\) | −89.1745 | − | 74.8263i | −0.527660 | − | 0.442759i | ||||
\(170\) | 25.4440 | − | 47.3840i | 0.149670 | − | 0.278729i | ||||
\(171\) | −247.177 | + | 193.230i | −1.44548 | + | 1.13000i | ||||
\(172\) | 52.1276 | − | 34.5427i | 0.303067 | − | 0.200830i | ||||
\(173\) | 32.7910 | − | 185.967i | 0.189544 | − | 1.07495i | −0.730434 | − | 0.682983i | \(-0.760682\pi\) |
0.919977 | − | 0.391971i | \(-0.128207\pi\) | |||||||
\(174\) | −41.3684 | + | 163.170i | −0.237750 | + | 0.937761i | ||||
\(175\) | 7.28707 | − | 20.0211i | 0.0416404 | − | 0.114406i | ||||
\(176\) | −54.4516 | + | 237.015i | −0.309384 | + | 1.34668i | ||||
\(177\) | −151.670 | + | 146.509i | −0.856895 | + | 0.827732i | ||||
\(178\) | −31.9362 | + | 220.677i | −0.179417 | + | 1.23976i | ||||
\(179\) | 75.9146 | − | 43.8293i | 0.424104 | − | 0.244856i | −0.272728 | − | 0.962091i | \(-0.587926\pi\) |
0.696832 | + | 0.717235i | \(0.254593\pi\) | |||||||
\(180\) | 185.465 | − | 113.863i | 1.03036 | − | 0.632574i | ||||
\(181\) | −27.2674 | + | 47.2286i | −0.150649 | + | 0.260931i | −0.931466 | − | 0.363828i | \(-0.881470\pi\) |
0.780817 | + | 0.624759i | \(0.214803\pi\) | |||||||
\(182\) | −16.5657 | + | 21.0251i | −0.0910205 | + | 0.115523i | ||||
\(183\) | −97.8514 | − | 10.2703i | −0.534707 | − | 0.0561220i | ||||
\(184\) | −98.4311 | + | 26.9205i | −0.534951 | + | 0.146307i | ||||
\(185\) | −11.1645 | + | 9.36813i | −0.0603487 | + | 0.0506386i | ||||
\(186\) | 315.850 | − | 31.9359i | 1.69812 | − | 0.171698i | ||||
\(187\) | −23.1249 | − | 63.5353i | −0.123663 | − | 0.339761i | ||||
\(188\) | −5.10423 | − | 82.7255i | −0.0271502 | − | 0.440029i | ||||
\(189\) | −44.0063 | − | 23.3742i | −0.232838 | − | 0.123673i | ||||
\(190\) | 12.9842 | + | 421.276i | 0.0683379 | + | 2.21724i | ||||
\(191\) | −99.4836 | − | 273.329i | −0.520857 | − | 1.43104i | −0.869569 | − | 0.493812i | \(-0.835603\pi\) |
0.348712 | − | 0.937230i | \(-0.386619\pi\) | |||||||
\(192\) | 185.107 | + | 50.9854i | 0.964097 | + | 0.265549i | ||||
\(193\) | −226.587 | + | 190.129i | −1.17402 | + | 0.985123i | −0.174024 | + | 0.984741i | \(0.555677\pi\) |
−1.00000 | 0.000381565i | \(0.999879\pi\) | ||||||||
\(194\) | −30.6051 | − | 146.942i | −0.157758 | − | 0.757433i | ||||
\(195\) | 53.5110 | + | 120.141i | 0.274415 | + | 0.616108i | ||||
\(196\) | 146.663 | + | 108.403i | 0.748279 | + | 0.553077i | ||||
\(197\) | −29.4010 | + | 50.9239i | −0.149243 | + | 0.258497i | −0.930948 | − | 0.365152i | \(-0.881017\pi\) |
0.781705 | + | 0.623649i | \(0.214350\pi\) | |||||||
\(198\) | 48.5334 | − | 269.249i | 0.245118 | − | 1.35984i | ||||
\(199\) | 120.558 | − | 69.6042i | 0.605819 | − | 0.349770i | −0.165508 | − | 0.986208i | \(-0.552926\pi\) |
0.771328 | + | 0.636438i | \(0.219593\pi\) | |||||||
\(200\) | 7.57398 | − | 92.0470i | 0.0378699 | − | 0.460235i | ||||
\(201\) | −53.8358 | − | 215.791i | −0.267840 | − | 1.07359i | ||||
\(202\) | −23.9602 | − | 7.89377i | −0.118615 | − | 0.0390781i | ||||
\(203\) | 17.7087 | − | 48.6541i | 0.0872348 | − | 0.239676i | ||||
\(204\) | −50.8993 | + | 16.0866i | −0.249506 | + | 0.0788557i | ||||
\(205\) | 49.4747 | − | 280.585i | 0.241340 | − | 1.36871i | ||||
\(206\) | −194.541 | + | 120.458i | −0.944374 | + | 0.584747i | ||||
\(207\) | 109.173 | − | 35.5072i | 0.527404 | − | 0.171532i | ||||
\(208\) | −45.2225 | + | 106.856i | −0.217416 | + | 0.513731i | ||||
\(209\) | 405.891 | + | 340.583i | 1.94206 | + | 1.62958i | ||||
\(210\) | −60.2800 | + | 29.1062i | −0.287048 | + | 0.138601i | ||||
\(211\) | −63.2035 | + | 11.1445i | −0.299543 | + | 0.0528174i | −0.321400 | − | 0.946944i | \(-0.604153\pi\) |
0.0218570 | + | 0.999761i | \(0.493042\pi\) | |||||||
\(212\) | −223.799 | + | 212.606i | −1.05566 | + | 1.00286i | ||||
\(213\) | 124.132 | − | 254.601i | 0.582779 | − | 1.19531i | ||||
\(214\) | −116.484 | − | 291.743i | −0.544319 | − | 1.36328i | ||||
\(215\) | 94.5078i | 0.439571i | ||||||||
\(216\) | −210.733 | − | 47.4101i | −0.975615 | − | 0.219491i | ||||
\(217\) | −97.6459 | −0.449981 | ||||||||
\(218\) | −286.913 | + | 114.556i | −1.31611 | + | 0.525485i | ||||
\(219\) | −17.6635 | − | 252.077i | −0.0806551 | − | 1.15104i | ||||
\(220\) | −253.136 | − | 266.464i | −1.15062 | − | 1.21120i | ||||
\(221\) | −5.60183 | − | 31.7696i | −0.0253477 | − | 0.143754i | ||||
\(222\) | 14.4259 | + | 1.06605i | 0.0649813 | + | 0.00480201i | ||||
\(223\) | −40.5997 | + | 48.3849i | −0.182062 | + | 0.216973i | −0.849354 | − | 0.527823i | \(-0.823008\pi\) |
0.667293 | + | 0.744795i | \(0.267453\pi\) | |||||||
\(224\) | −55.0696 | − | 21.3305i | −0.245846 | − | 0.0952252i | ||||
\(225\) | −3.59622 | + | 103.841i | −0.0159832 | + | 0.461514i | ||||
\(226\) | −10.6498 | − | 17.1995i | −0.0471228 | − | 0.0761040i | ||||
\(227\) | −223.183 | − | 39.3532i | −0.983184 | − | 0.173362i | −0.341126 | − | 0.940018i | \(-0.610808\pi\) |
−0.642058 | + | 0.766656i | \(0.721919\pi\) | |||||||
\(228\) | 282.405 | − | 308.613i | 1.23862 | − | 1.35356i | ||||
\(229\) | 200.458 | + | 72.9608i | 0.875363 | + | 0.318606i | 0.740337 | − | 0.672236i | \(-0.234666\pi\) |
0.135026 | + | 0.990842i | \(0.456888\pi\) | |||||||
\(230\) | 48.2577 | − | 146.478i | 0.209816 | − | 0.636862i | ||||
\(231\) | −23.1837 | + | 80.8950i | −0.100362 | + | 0.350195i | ||||
\(232\) | 18.4059 | − | 223.688i | 0.0793357 | − | 0.964172i | ||||
\(233\) | 106.877 | + | 185.117i | 0.458701 | + | 0.794494i | 0.998893 | − | 0.0470483i | \(-0.0149815\pi\) |
−0.540191 | + | 0.841542i | \(0.681648\pi\) | |||||||
\(234\) | 45.1123 | − | 122.492i | 0.192788 | − | 0.523471i | ||||
\(235\) | 108.480 | + | 62.6307i | 0.461615 | + | 0.266514i | ||||
\(236\) | 167.124 | − | 226.108i | 0.708152 | − | 0.958087i | ||||
\(237\) | −6.82402 | − | 4.95644i | −0.0287933 | − | 0.0209132i | ||||
\(238\) | 16.0742 | − | 3.34794i | 0.0675387 | − | 0.0140670i | ||||
\(239\) | 193.541 | + | 230.653i | 0.809795 | + | 0.965076i | 0.999861 | − | 0.0166953i | \(-0.00531451\pi\) |
−0.190066 | + | 0.981771i | \(0.560870\pi\) | |||||||
\(240\) | −218.763 | + | 190.635i | −0.911512 | + | 0.794315i | ||||
\(241\) | −132.174 | + | 48.1075i | −0.548441 | + | 0.199616i | −0.601354 | − | 0.798983i | \(-0.705372\pi\) |
0.0529129 | + | 0.998599i | \(0.483149\pi\) | |||||||
\(242\) | −219.935 | + | 6.77864i | −0.908823 | + | 0.0280109i | ||||
\(243\) | 239.339 | + | 42.0240i | 0.984933 | + | 0.172938i | ||||
\(244\) | 130.936 | − | 8.07887i | 0.536624 | − | 0.0331101i | ||||
\(245\) | −259.004 | + | 94.2699i | −1.05716 | + | 0.384775i | ||||
\(246\) | −229.430 | + | 165.310i | −0.932643 | + | 0.671991i | ||||
\(247\) | 162.500 | + | 193.660i | 0.657895 | + | 0.784049i | ||||
\(248\) | −408.286 | + | 111.664i | −1.64631 | + | 0.450259i | ||||
\(249\) | −137.119 | − | 99.5929i | −0.550680 | − | 0.399971i | ||||
\(250\) | −127.782 | − | 100.680i | −0.511129 | − | 0.402720i | ||||
\(251\) | 230.389 | + | 133.015i | 0.917885 | + | 0.529941i | 0.882960 | − | 0.469449i | \(-0.155547\pi\) |
0.0349254 | + | 0.999390i | \(0.488881\pi\) | |||||||
\(252\) | 63.0224 | + | 21.0292i | 0.250089 | + | 0.0834494i | ||||
\(253\) | −96.9395 | − | 167.904i | −0.383160 | − | 0.663652i | ||||
\(254\) | 232.347 | + | 33.6252i | 0.914753 | + | 0.132383i | ||||
\(255\) | 22.2258 | − | 77.5529i | 0.0871601 | − | 0.304129i | ||||
\(256\) | −254.654 | − | 26.2132i | −0.994744 | − | 0.102395i | ||||
\(257\) | 314.780 | + | 114.571i | 1.22482 | + | 0.445800i | 0.871822 | − | 0.489823i | \(-0.162938\pi\) |
0.353003 | + | 0.935622i | \(0.385161\pi\) | |||||||
\(258\) | 65.4255 | − | 67.2166i | 0.253587 | − | 0.260530i | ||||
\(259\) | −4.38168 | − | 0.772609i | −0.0169177 | − | 0.00298304i | ||||
\(260\) | −96.8655 | − | 146.177i | −0.372560 | − | 0.562221i | ||||
\(261\) | −8.73934 | + | 252.348i | −0.0334841 | + | 0.966850i | ||||
\(262\) | 346.492 | + | 186.057i | 1.32249 | + | 0.710142i | ||||
\(263\) | 134.835 | − | 160.690i | 0.512679 | − | 0.610987i | −0.446154 | − | 0.894956i | \(-0.647207\pi\) |
0.958834 | + | 0.283969i | \(0.0916512\pi\) | |||||||
\(264\) | −4.42893 | + | 364.757i | −0.0167763 | + | 1.38166i | ||||
\(265\) | −81.0104 | − | 459.433i | −0.305700 | − | 1.73371i | ||||
\(266\) | −95.9722 | + | 85.7047i | −0.360798 | + | 0.322198i | ||||
\(267\) | 23.3791 | + | 333.645i | 0.0875621 | + | 1.24961i | ||||
\(268\) | 118.391 | + | 271.882i | 0.441757 | + | 1.01448i | ||||
\(269\) | 244.709 | 0.909697 | 0.454849 | − | 0.890569i | \(-0.349693\pi\) | ||||
0.454849 | + | 0.890569i | \(0.349693\pi\) | |||||||
\(270\) | 235.652 | − | 225.904i | 0.872785 | − | 0.836682i | ||||
\(271\) | − | 431.195i | − | 1.59113i | −0.605870 | − | 0.795563i | \(-0.707175\pi\) | ||
0.605870 | − | 0.795563i | \(-0.292825\pi\) | |||||||
\(272\) | 63.3823 | − | 32.3805i | 0.233023 | − | 0.119046i | ||||
\(273\) | −17.5957 | + | 36.0897i | −0.0644531 | + | 0.132197i | ||||
\(274\) | 139.702 | − | 124.756i | 0.509860 | − | 0.455313i | ||||
\(275\) | 172.807 | − | 30.4705i | 0.628389 | − | 0.110802i | ||||
\(276\) | −135.726 | + | 70.7718i | −0.491760 | + | 0.256419i | ||||
\(277\) | 24.8240 | + | 20.8298i | 0.0896175 | + | 0.0751980i | 0.686496 | − | 0.727134i | \(-0.259148\pi\) |
−0.596878 | + | 0.802332i | \(0.703592\pi\) | |||||||
\(278\) | −166.724 | − | 89.5264i | −0.599726 | − | 0.322037i | ||||
\(279\) | 452.841 | − | 147.281i | 1.62309 | − | 0.527890i | ||||
\(280\) | 72.8456 | − | 51.5701i | 0.260163 | − | 0.184179i | ||||
\(281\) | 22.5038 | − | 127.625i | 0.0800847 | − | 0.454183i | −0.918225 | − | 0.396060i | \(-0.870377\pi\) |
0.998309 | − | 0.0581231i | \(-0.0185116\pi\) | |||||||
\(282\) | −33.7960 | − | 119.643i | −0.119844 | − | 0.424265i | ||||
\(283\) | 30.9916 | − | 85.1487i | 0.109511 | − | 0.300879i | −0.872817 | − | 0.488048i | \(-0.837709\pi\) |
0.982328 | + | 0.187169i | \(0.0599313\pi\) | |||||||
\(284\) | −107.069 | + | 362.172i | −0.377003 | + | 1.27525i | ||||
\(285\) | 153.035 | + | 613.413i | 0.536965 | + | 2.15233i | ||||
\(286\) | −218.177 | − | 31.5744i | −0.762857 | − | 0.110400i | ||||
\(287\) | 75.3264 | − | 43.4897i | 0.262461 | − | 0.151532i | ||||
\(288\) | 287.563 | + | 15.8592i | 0.998483 | + | 0.0550666i | ||||
\(289\) | 134.606 | − | 233.144i | 0.465764 | − | 0.806727i | ||||
\(290\) | 266.438 | + | 209.927i | 0.918753 | + | 0.723887i | ||||
\(291\) | −91.6036 | − | 205.665i | −0.314789 | − | 0.706754i | ||||
\(292\) | 78.8297 | + | 327.576i | 0.269965 | + | 1.12183i | ||||
\(293\) | −198.471 | + | 166.537i | −0.677376 | + | 0.568386i | −0.915238 | − | 0.402913i | \(-0.867998\pi\) |
0.237862 | + | 0.971299i | \(0.423553\pi\) | |||||||
\(294\) | 249.472 | + | 112.255i | 0.848545 | + | 0.381821i | ||||
\(295\) | 145.335 | + | 399.305i | 0.492661 | + | 1.35357i | ||||
\(296\) | −19.2046 | + | 1.78023i | −0.0648804 | + | 0.00601429i | ||||
\(297\) | −14.4995 | − | 410.126i | −0.0488198 | − | 1.38089i | ||||
\(298\) | −137.146 | + | 4.22699i | −0.460221 | + | 0.0141845i | ||||
\(299\) | −31.6383 | − | 86.9255i | −0.105814 | − | 0.290721i | ||||
\(300\) | −18.1762 | − | 137.340i | −0.0605872 | − | 0.457799i | ||||
\(301\) | −22.1017 | + | 18.5455i | −0.0734275 | + | 0.0616130i | ||||
\(302\) | 320.082 | − | 66.6667i | 1.05987 | − | 0.220751i | ||||
\(303\) | −37.6338 | − | 3.94999i | −0.124204 | − | 0.0130363i | ||||
\(304\) | −303.278 | + | 468.106i | −0.997627 | + | 1.53982i | ||||
\(305\) | −99.1305 | + | 171.699i | −0.325018 | + | 0.562948i | ||||
\(306\) | −69.4957 | + | 39.7714i | −0.227110 | + | 0.129972i | ||||
\(307\) | 144.159 | − | 83.2302i | 0.469573 | − | 0.271108i | −0.246488 | − | 0.969146i | \(-0.579277\pi\) |
0.716061 | + | 0.698038i | \(0.245943\pi\) | |||||||
\(308\) | 12.6419 | − | 111.488i | 0.0410450 | − | 0.361973i | ||||
\(309\) | −246.859 | + | 238.458i | −0.798897 | + | 0.771709i | ||||
\(310\) | 200.170 | − | 607.582i | 0.645709 | − | 1.95994i | ||||
\(311\) | −120.701 | + | 331.622i | −0.388105 | + | 1.06631i | 0.579749 | + | 0.814795i | \(0.303151\pi\) |
−0.967854 | + | 0.251514i | \(0.919071\pi\) | |||||||
\(312\) | −32.3018 | + | 171.023i | −0.103531 | + | 0.548152i | ||||
\(313\) | −17.1825 | + | 97.4466i | −0.0548961 | + | 0.311331i | −0.999875 | − | 0.0157996i | \(-0.994971\pi\) |
0.944979 | + | 0.327131i | \(0.106082\pi\) | |||||||
\(314\) | 287.863 | + | 464.902i | 0.916760 | + | 1.48058i | ||||
\(315\) | −79.1053 | + | 61.8406i | −0.251128 | + | 0.196319i | ||||
\(316\) | 10.0666 | + | 5.01229i | 0.0318563 | + | 0.0158617i | ||||
\(317\) | −109.898 | − | 92.2151i | −0.346681 | − | 0.290899i | 0.452775 | − | 0.891625i | \(-0.350434\pi\) |
−0.799455 | + | 0.600725i | \(0.794879\pi\) | |||||||
\(318\) | −260.438 | + | 382.843i | −0.818987 | + | 1.20391i | ||||
\(319\) | 419.946 | − | 74.0478i | 1.31645 | − | 0.232125i | ||||
\(320\) | 245.615 | − | 298.933i | 0.767546 | − | 0.934165i | ||||
\(321\) | −263.552 | − | 390.610i | −0.821033 | − | 1.21685i | ||||
\(322\) | 43.7253 | − | 17.4582i | 0.135793 | − | 0.0542180i | ||||
\(323\) | − | 155.073i | − | 0.480101i | ||||||
\(324\) | −323.991 | − | 2.46686i | −0.999971 | − | 0.00761377i | ||||
\(325\) | 83.7222 | 0.257607 | ||||||||
\(326\) | −13.0828 | − | 32.7668i | −0.0401313 | − | 0.100512i | ||||
\(327\) | −384.143 | + | 259.188i | −1.17475 | + | 0.792625i | ||||
\(328\) | 265.228 | − | 267.983i | 0.808621 | − | 0.817022i | ||||
\(329\) | 6.64036 | + | 37.6593i | 0.0201835 | + | 0.114466i | ||||
\(330\) | −455.827 | − | 310.087i | −1.38129 | − | 0.939657i | ||||
\(331\) | −353.872 | + | 421.728i | −1.06910 | + | 1.27410i | −0.109121 | + | 0.994028i | \(0.534804\pi\) |
−0.959978 | + | 0.280075i | \(0.909641\pi\) | |||||||
\(332\) | 202.275 | + | 100.715i | 0.609261 | + | 0.303359i | ||||
\(333\) | 21.4858 | − | 3.02594i | 0.0645218 | − | 0.00908692i | ||||
\(334\) | −124.032 | + | 76.7992i | −0.371353 | + | 0.229938i | ||||
\(335\) | −441.354 | − | 77.8227i | −1.31748 | − | 0.232307i | ||||
\(336\) | −87.5106 | − | 13.7512i | −0.260448 | − | 0.0409262i | ||||
\(337\) | 207.435 | + | 75.5002i | 0.615534 | + | 0.224036i | 0.630923 | − | 0.775845i | \(-0.282676\pi\) |
−0.0153886 | + | 0.999882i | \(0.504899\pi\) | |||||||
\(338\) | 221.127 | + | 72.8509i | 0.654221 | + | 0.215535i | ||||
\(339\) | −21.0822 | − | 21.8250i | −0.0621895 | − | 0.0643805i | ||||
\(340\) | −12.1196 | + | 106.882i | −0.0356458 | + | 0.314358i | ||||
\(341\) | −402.098 | − | 696.455i | −1.17917 | − | 2.04239i | ||||
\(342\) | 315.809 | − | 542.220i | 0.923418 | − | 1.58544i | ||||
\(343\) | −151.186 | − | 87.2872i | −0.440775 | − | 0.254482i | ||||
\(344\) | −71.2055 | + | 102.819i | −0.206993 | + | 0.298892i | ||||
\(345\) | 24.1478 | − | 230.070i | 0.0699938 | − | 0.666871i | ||||
\(346\) | 77.0089 | + | 369.737i | 0.222569 | + | 1.06861i | ||||
\(347\) | −3.78870 | − | 4.51520i | −0.0109184 | − | 0.0130121i | 0.760558 | − | 0.649270i | \(-0.224926\pi\) |
−0.771476 | + | 0.636258i | \(0.780481\pi\) | |||||||
\(348\) | −44.1708 | − | 333.755i | −0.126927 | − | 0.959067i | ||||
\(349\) | 101.678 | − | 37.0077i | 0.291341 | − | 0.106039i | −0.192215 | − | 0.981353i | \(-0.561567\pi\) |
0.483556 | + | 0.875313i | \(0.339345\pi\) | |||||||
\(350\) | 1.31272 | + | 42.5917i | 0.00375064 | + | 0.121691i | ||||
\(351\) | 27.1666 | − | 193.909i | 0.0773978 | − | 0.552448i | ||||
\(352\) | −74.6339 | − | 480.618i | −0.212028 | − | 1.36539i | ||||
\(353\) | 97.3695 | − | 35.4396i | 0.275834 | − | 0.100395i | −0.200399 | − | 0.979714i | \(-0.564224\pi\) |
0.476233 | + | 0.879319i | \(0.342002\pi\) | |||||||
\(354\) | 173.063 | − | 384.609i | 0.488878 | − | 1.08647i | ||||
\(355\) | −366.884 | − | 437.235i | −1.03348 | − | 1.23165i | ||||
\(356\) | −104.338 | − | 433.573i | −0.293083 | − | 1.21790i | ||||
\(357\) | 22.4980 | − | 10.0207i | 0.0630197 | − | 0.0280691i | ||||
\(358\) | −108.501 | + | 137.709i | −0.303075 | + | 0.384661i | ||||
\(359\) | −45.6398 | − | 26.3501i | −0.127130 | − | 0.0733987i | 0.435086 | − | 0.900389i | \(-0.356718\pi\) |
−0.562217 | + | 0.826990i | \(0.690051\pi\) | |||||||
\(360\) | −260.043 | + | 349.035i | −0.722343 | + | 0.969542i | ||||
\(361\) | 427.119 | + | 739.793i | 1.18316 | + | 2.04929i | ||||
\(362\) | 15.6218 | − | 107.945i | 0.0431540 | − | 0.298191i | ||||
\(363\) | −320.244 | + | 79.8947i | −0.882214 | + | 0.220096i | ||||
\(364\) | 15.1770 | − | 51.3378i | 0.0416951 | − | 0.141038i | ||||
\(365\) | −478.492 | − | 174.157i | −1.31094 | − | 0.477142i | ||||
\(366\) | 189.368 | − | 53.4915i | 0.517398 | − | 0.146152i | ||||
\(367\) | −515.305 | − | 90.8621i | −1.40410 | − | 0.247581i | −0.580273 | − | 0.814422i | \(-0.697054\pi\) |
−0.823827 | + | 0.566841i | \(0.808165\pi\) | |||||||
\(368\) | 162.863 | − | 123.000i | 0.442563 | − | 0.334240i | ||||
\(369\) | −283.736 | + | 315.303i | −0.768932 | + | 0.854481i | ||||
\(370\) | 13.7897 | − | 25.6803i | 0.0372693 | − | 0.0694062i | ||||
\(371\) | 91.5465 | − | 109.101i | 0.246756 | − | 0.294072i | ||||
\(372\) | −562.981 | + | 293.557i | −1.51339 | + | 0.789131i | ||||
\(373\) | 49.7399 | + | 282.089i | 0.133351 | + | 0.756271i | 0.975994 | + | 0.217798i | \(0.0698875\pi\) |
−0.842643 | + | 0.538473i | \(0.819001\pi\) | |||||||
\(374\) | 90.0713 | + | 100.862i | 0.240832 | + | 0.269684i | ||||
\(375\) | −219.339 | − | 106.940i | −0.584904 | − | 0.285172i | ||||
\(376\) | 70.8310 | + | 149.871i | 0.188380 | + | 0.398592i | ||||
\(377\) | 203.457 | 0.539674 | ||||||||
\(378\) | 99.0728 | + | 10.7800i | 0.262097 | + | 0.0285185i | ||||
\(379\) | 341.343i | 0.900640i | 0.892867 | + | 0.450320i | \(0.148690\pi\) | ||||
−0.892867 | + | 0.450320i | \(0.851310\pi\) | |||||||
\(380\) | −336.541 | − | 772.858i | −0.885635 | − | 2.03384i | ||||
\(381\) | 351.290 | − | 24.6155i | 0.922022 | − | 0.0646076i | ||||
\(382\) | 387.487 | + | 433.909i | 1.01436 | + | 1.13589i | ||||
\(383\) | −398.644 | + | 70.2917i | −1.04085 | + | 0.183529i | −0.667844 | − | 0.744301i | \(-0.732783\pi\) |
−0.373002 | + | 0.927831i | \(0.621671\pi\) | |||||||
\(384\) | −381.632 | + | 42.5762i | −0.993834 | + | 0.110875i | ||||
\(385\) | 129.899 | + | 108.999i | 0.337401 | + | 0.283113i | ||||
\(386\) | 279.865 | − | 521.189i | 0.725038 | − | 1.35023i | ||||
\(387\) | 74.5258 | − | 119.343i | 0.192573 | − | 0.308379i | ||||
\(388\) | 165.821 | + | 250.236i | 0.427373 | + | 0.644938i | ||||
\(389\) | 54.3292 | − | 308.116i | 0.139664 | − | 0.792073i | −0.831834 | − | 0.555025i | \(-0.812709\pi\) |
0.971498 | − | 0.237049i | \(-0.0761801\pi\) | |||||||
\(390\) | −188.491 | − | 183.468i | −0.483309 | − | 0.470431i | ||||
\(391\) | −19.4072 | + | 53.3208i | −0.0496347 | + | 0.136370i | ||||
\(392\) | −352.807 | − | 92.5830i | −0.900018 | − | 0.236181i | ||||
\(393\) | 567.100 | + | 162.525i | 1.44300 | + | 0.413549i | ||||
\(394\) | 16.8441 | − | 116.391i | 0.0427515 | − | 0.295409i | ||||
\(395\) | −14.7183 | + | 8.49764i | −0.0372616 | + | 0.0215130i | ||||
\(396\) | 109.531 | + | 536.101i | 0.276594 | + | 1.35379i | ||||
\(397\) | −44.9130 | + | 77.7916i | −0.113131 | + | 0.195949i | −0.917031 | − | 0.398816i | \(-0.869421\pi\) |
0.803900 | + | 0.594764i | \(0.202755\pi\) | |||||||
\(398\) | −172.308 | + | 218.692i | −0.432934 | + | 0.549477i | ||||
\(399\) | −113.423 | + | 156.161i | −0.284268 | + | 0.391380i | ||||
\(400\) | 54.1952 | + | 176.587i | 0.135488 | + | 0.441467i | ||||
\(401\) | 346.432 | − | 290.691i | 0.863919 | − | 0.724914i | −0.0988896 | − | 0.995098i | \(-0.531529\pi\) |
0.962809 | + | 0.270184i | \(0.0870846\pi\) | |||||||
\(402\) | 260.029 | + | 360.889i | 0.646838 | + | 0.897734i | ||||
\(403\) | −131.234 | − | 360.561i | −0.325642 | − | 0.894693i | ||||
\(404\) | 50.3583 | − | 3.10715i | 0.124649 | − | 0.00769096i | ||||
\(405\) | 273.582 | − | 406.107i | 0.675511 | − | 1.00273i | ||||
\(406\) | 3.19011 | + | 103.504i | 0.00785742 | + | 0.254936i | ||||
\(407\) | −12.5328 | − | 34.4337i | −0.0307932 | − | 0.0846036i | ||||
\(408\) | 82.6114 | − | 67.6271i | 0.202479 | − | 0.165753i | ||||
\(409\) | −446.217 | + | 374.421i | −1.09100 | + | 0.915454i | −0.996787 | − | 0.0800985i | \(-0.974477\pi\) |
−0.0942086 | + | 0.995552i | \(0.530032\pi\) | |||||||
\(410\) | 116.190 | + | 557.855i | 0.283390 | + | 1.36062i | ||||
\(411\) | 165.104 | − | 227.315i | 0.401712 | − | 0.553077i | ||||
\(412\) | 272.012 | − | 368.015i | 0.660222 | − | 0.893240i | ||||
\(413\) | −64.8623 | + | 112.345i | −0.157052 | + | 0.272021i | ||||
\(414\) | −176.447 | + | 146.916i | −0.426201 | + | 0.354869i | ||||
\(415\) | −295.745 | + | 170.749i | −0.712639 | + | 0.411442i | ||||
\(416\) | 4.75142 | − | 232.014i | 0.0114217 | − | 0.557726i | ||||
\(417\) | −272.875 | − | 78.2032i | −0.654377 | − | 0.187538i | ||||
\(418\) | −1006.49 | − | 331.592i | −2.40787 | − | 0.793282i | ||||
\(419\) | −1.24630 | + | 3.42418i | −0.00297447 | + | 0.00817228i | −0.941171 | − | 0.337931i | \(-0.890273\pi\) |
0.938197 | + | 0.346103i | \(0.112495\pi\) | |||||||
\(420\) | 90.3797 | − | 98.7669i | 0.215190 | − | 0.235159i | ||||
\(421\) | −99.6390 | + | 565.081i | −0.236672 | + | 1.34223i | 0.602391 | + | 0.798201i | \(0.294215\pi\) |
−0.839063 | + | 0.544034i | \(0.816896\pi\) | |||||||
\(422\) | 109.131 | − | 67.5725i | 0.258603 | − | 0.160124i | ||||
\(423\) | −87.5976 | − | 164.633i | −0.207086 | − | 0.389202i | ||||
\(424\) | 258.018 | − | 560.871i | 0.608534 | − | 1.32281i | ||||
\(425\) | −39.3408 | − | 33.0109i | −0.0925667 | − | 0.0776726i | ||||
\(426\) | −41.7496 | + | 564.960i | −0.0980037 | + | 1.32620i | ||||
\(427\) | −59.6064 | + | 10.5102i | −0.139593 | + | 0.0246141i | ||||
\(428\) | 432.721 | + | 455.503i | 1.01103 | + | 1.06426i | ||||
\(429\) | −329.866 | + | 23.1143i | −0.768919 | + | 0.0538794i | ||||
\(430\) | −70.0882 | − | 175.541i | −0.162996 | − | 0.408234i | ||||
\(431\) | 216.274i | 0.501796i | 0.968013 | + | 0.250898i | \(0.0807259\pi\) | ||||
−0.968013 | + | 0.250898i | \(0.919274\pi\) | |||||||
\(432\) | 426.579 | − | 68.2217i | 0.987452 | − | 0.157921i | ||||
\(433\) | −714.916 | −1.65108 | −0.825538 | − | 0.564346i | \(-0.809128\pi\) | ||||
−0.825538 | + | 0.564346i | \(0.809128\pi\) | |||||||
\(434\) | 181.370 | − | 72.4155i | 0.417902 | − | 0.166856i | ||||
\(435\) | 457.343 | + | 222.980i | 1.05136 | + | 0.512597i | ||||
\(436\) | 447.962 | − | 425.556i | 1.02743 | − | 0.976047i | ||||
\(437\) | −77.2160 | − | 437.913i | −0.176696 | − | 1.00209i | ||||
\(438\) | 219.752 | + | 455.114i | 0.501717 | + | 1.03907i | ||||
\(439\) | 253.060 | − | 301.585i | 0.576446 | − | 0.686982i | −0.396494 | − | 0.918037i | \(-0.629773\pi\) |
0.972941 | + | 0.231055i | \(0.0742178\pi\) | |||||||
\(440\) | 667.794 | + | 307.206i | 1.51771 | + | 0.698196i | ||||
\(441\) | 401.404 | + | 85.2002i | 0.910214 | + | 0.193198i | ||||
\(442\) | 33.9657 | + | 54.8551i | 0.0768454 | + | 0.124106i | ||||
\(443\) | 470.103 | + | 82.8918i | 1.06118 | + | 0.187115i | 0.676880 | − | 0.736093i | \(-0.263332\pi\) |
0.384300 | + | 0.923208i | \(0.374443\pi\) | |||||||
\(444\) | −27.5855 | + | 8.71830i | −0.0621294 | + | 0.0196358i | ||||
\(445\) | 633.323 | + | 230.511i | 1.42320 | + | 0.518002i | ||||
\(446\) | 39.5279 | − | 119.980i | 0.0886276 | − | 0.269014i | ||||
\(447\) | −199.696 | + | 49.8203i | −0.446746 | + | 0.111455i | ||||
\(448\) | 118.106 | − | 1.22069i | 0.263630 | − | 0.00272476i | ||||
\(449\) | 38.7598 | + | 67.1339i | 0.0863247 | + | 0.149519i | 0.905955 | − | 0.423374i | \(-0.139154\pi\) |
−0.819630 | + | 0.572893i | \(0.805821\pi\) | |||||||
\(450\) | −70.3298 | − | 195.543i | −0.156289 | − | 0.434539i | ||||
\(451\) | 620.376 | + | 358.174i | 1.37556 | + | 0.794178i | ||||
\(452\) | 32.5364 | + | 24.0487i | 0.0719833 | + | 0.0532051i | ||||
\(453\) | 447.998 | − | 199.539i | 0.988958 | − | 0.440483i | ||||
\(454\) | 443.729 | − | 92.4199i | 0.977377 | − | 0.203568i | ||||
\(455\) | 52.0058 | + | 61.9781i | 0.114298 | + | 0.136216i | ||||
\(456\) | −295.674 | + | 782.658i | −0.648408 | + | 1.71636i | ||||
\(457\) | 101.275 | − | 36.8611i | 0.221608 | − | 0.0806589i | −0.228830 | − | 0.973466i | \(-0.573490\pi\) |
0.450438 | + | 0.892808i | \(0.351268\pi\) | |||||||
\(458\) | −426.444 | + | 13.1435i | −0.931100 | + | 0.0286975i | ||||
\(459\) | −89.2221 | + | 80.4058i | −0.194384 | + | 0.175176i | ||||
\(460\) | 18.9952 | + | 307.860i | 0.0412940 | + | 0.669261i | ||||
\(461\) | −488.366 | + | 177.751i | −1.05936 | + | 0.385577i | −0.812189 | − | 0.583395i | \(-0.801724\pi\) |
−0.247174 | + | 0.968971i | \(0.579502\pi\) | |||||||
\(462\) | −16.9310 | − | 167.449i | −0.0366472 | − | 0.362444i | ||||
\(463\) | 41.3504 | + | 49.2795i | 0.0893097 | + | 0.106435i | 0.808849 | − | 0.588017i | \(-0.200091\pi\) |
−0.719539 | + | 0.694452i | \(0.755647\pi\) | |||||||
\(464\) | 131.702 | + | 429.132i | 0.283841 | + | 0.924854i | ||||
\(465\) | 100.164 | − | 954.317i | 0.215406 | − | 2.05229i | ||||
\(466\) | −335.801 | − | 264.579i | −0.720604 | − | 0.567765i | ||||
\(467\) | −355.370 | − | 205.173i | −0.760963 | − | 0.439342i | 0.0686786 | − | 0.997639i | \(-0.478122\pi\) |
−0.829641 | + | 0.558297i | \(0.811455\pi\) | |||||||
\(468\) | 7.04921 | + | 260.975i | 0.0150624 | + | 0.557640i | ||||
\(469\) | −68.4085 | − | 118.487i | −0.145860 | − | 0.252637i | ||||
\(470\) | −247.940 | − | 35.8817i | −0.527532 | − | 0.0763441i | ||||
\(471\) | 569.852 | + | 589.929i | 1.20988 | + | 1.25250i | ||||
\(472\) | −142.734 | + | 543.920i | −0.302403 | + | 1.15237i | ||||
\(473\) | −223.288 | − | 81.2702i | −0.472068 | − | 0.171819i | ||||
\(474\) | 16.3508 | + | 4.14541i | 0.0344954 | + | 0.00874558i | ||||
\(475\) | 396.339 | + | 69.8853i | 0.834399 | + | 0.147127i | ||||
\(476\) | −27.3737 | + | 18.1394i | −0.0575077 | + | 0.0381079i | ||||
\(477\) | −259.995 | + | 644.046i | −0.545064 | + | 1.35020i | ||||
\(478\) | −530.542 | − | 284.887i | −1.10992 | − | 0.595999i | ||||
\(479\) | 307.209 | − | 366.118i | 0.641355 | − | 0.764337i | −0.343228 | − | 0.939252i | \(-0.611521\pi\) |
0.984584 | + | 0.174915i | \(0.0559650\pi\) | |||||||
\(480\) | 264.957 | − | 516.328i | 0.551994 | − | 1.07568i | ||||
\(481\) | −3.03598 | − | 17.2179i | −0.00631180 | − | 0.0357960i | ||||
\(482\) | 209.826 | − | 187.378i | 0.435323 | − | 0.388751i | ||||
\(483\) | 58.5431 | − | 39.5001i | 0.121207 | − | 0.0817807i | ||||
\(484\) | 403.485 | − | 175.697i | 0.833646 | − | 0.363011i | ||||
\(485\) | −453.681 | −0.935424 | ||||||||
\(486\) | −475.718 | + | 99.4404i | −0.978844 | + | 0.204610i | ||||
\(487\) | 752.283i | 1.54473i | 0.635180 | + | 0.772365i | \(0.280926\pi\) | ||||
−0.635180 | + | 0.772365i | \(0.719074\pi\) | |||||||
\(488\) | −237.212 | + | 112.110i | −0.486090 | + | 0.229733i | ||||
\(489\) | −29.6005 | − | 43.8709i | −0.0605327 | − | 0.0897155i | ||||
\(490\) | 411.168 | − | 367.180i | 0.839119 | − | 0.749346i | ||||
\(491\) | −36.7623 | + | 6.48218i | −0.0748723 | + | 0.0132020i | −0.210959 | − | 0.977495i | \(-0.567659\pi\) |
0.136087 | + | 0.990697i | \(0.456547\pi\) | |||||||
\(492\) | 303.552 | − | 477.198i | 0.616976 | − | 0.969914i | ||||
\(493\) | −95.6040 | − | 80.2213i | −0.193923 | − | 0.162721i | ||||
\(494\) | −445.452 | − | 239.196i | −0.901724 | − | 0.484203i | ||||
\(495\) | −766.825 | − | 309.560i | −1.54914 | − | 0.625374i | ||||
\(496\) | 675.546 | − | 510.197i | 1.36199 | − | 1.02862i | ||||
\(497\) | 30.2577 | − | 171.600i | 0.0608806 | − | 0.345271i | ||||
\(498\) | 328.548 | + | 83.2963i | 0.659734 | + | 0.167262i | ||||
\(499\) | 229.552 | − | 630.690i | 0.460024 | − | 1.26391i | −0.465442 | − | 0.885078i | \(-0.654105\pi\) |
0.925467 | − | 0.378829i | \(-0.123673\pi\) | |||||||
\(500\) | 312.011 | + | 92.2399i | 0.624022 | + | 0.184480i | ||||
\(501\) | −157.388 | + | 152.031i | −0.314147 | + | 0.303456i | ||||
\(502\) | −526.575 | − | 76.2057i | −1.04895 | − | 0.151804i | ||||
\(503\) | 99.4014 | − | 57.3894i | 0.197617 | − | 0.114094i | −0.397926 | − | 0.917417i | \(-0.630270\pi\) |
0.595544 | + | 0.803323i | \(0.296937\pi\) | |||||||
\(504\) | −132.655 | + | 7.67809i | −0.263204 | + | 0.0152343i | ||||
\(505\) | −38.1258 | + | 66.0358i | −0.0754966 | + | 0.130764i | ||||
\(506\) | 304.577 | + | 239.977i | 0.601931 | + | 0.474263i | ||||
\(507\) | 347.319 | + | 36.4541i | 0.685048 | + | 0.0719016i | ||||
\(508\) | −456.504 | + | 109.856i | −0.898629 | + | 0.216251i | ||||
\(509\) | −149.473 | + | 125.422i | −0.293659 | + | 0.246410i | −0.777699 | − | 0.628636i | \(-0.783613\pi\) |
0.484040 | + | 0.875046i | \(0.339169\pi\) | |||||||
\(510\) | 16.2315 | + | 160.531i | 0.0318265 | + | 0.314767i | ||||
\(511\) | −53.1672 | − | 146.076i | −0.104045 | − | 0.285862i | ||||
\(512\) | 492.440 | − | 140.166i | 0.961798 | − | 0.273762i | ||||
\(513\) | 290.468 | − | 895.286i | 0.566215 | − | 1.74520i | ||||
\(514\) | −669.646 | + | 20.6392i | −1.30281 | + | 0.0401541i | ||||
\(515\) | 236.548 | + | 649.910i | 0.459316 | + | 1.26196i | ||||
\(516\) | −71.6740 | + | 173.370i | −0.138903 | + | 0.335988i | ||||
\(517\) | −241.259 | + | 202.440i | −0.466652 | + | 0.391567i | ||||
\(518\) | 8.71160 | − | 1.81445i | 0.0168178 | − | 0.00350280i | ||||
\(519\) | 230.494 | + | 517.498i | 0.444112 | + | 0.997105i | ||||
\(520\) | 288.327 | + | 199.676i | 0.554475 | + | 0.383993i | ||||
\(521\) | −84.2253 | + | 145.882i | −0.161661 | + | 0.280005i | −0.935464 | − | 0.353421i | \(-0.885018\pi\) |
0.773804 | + | 0.633426i | \(0.218352\pi\) | |||||||
\(522\) | −170.912 | − | 475.197i | −0.327417 | − | 0.910340i | ||||
\(523\) | 131.568 | − | 75.9606i | 0.251563 | − | 0.145240i | −0.368917 | − | 0.929462i | \(-0.620271\pi\) |
0.620480 | + | 0.784222i | \(0.286938\pi\) | |||||||
\(524\) | −781.564 | − | 88.6235i | −1.49153 | − | 0.169129i | ||||
\(525\) | 15.4721 | + | 62.0171i | 0.0294706 | + | 0.118128i | ||||
\(526\) | −131.275 | + | 398.463i | −0.249572 | + | 0.757535i | ||||
\(527\) | −80.4996 | + | 221.171i | −0.152751 | + | 0.419679i | ||||
\(528\) | −262.282 | − | 680.792i | −0.496747 | − | 1.28938i | ||||
\(529\) | 63.6057 | − | 360.726i | 0.120238 | − | 0.681902i | ||||
\(530\) | 491.192 | + | 793.281i | 0.926777 | + | 1.49676i | ||||
\(531\) | 131.352 | − | 618.841i | 0.247368 | − | 1.16543i | ||||
\(532\) | 114.701 | − | 230.364i | 0.215603 | − | 0.433015i | ||||
\(533\) | 261.824 | + | 219.696i | 0.491227 | + | 0.412188i | ||||
\(534\) | −290.860 | − | 602.381i | −0.544682 | − | 1.12805i | ||||
\(535\) | −935.091 | + | 164.882i | −1.74783 | + | 0.308190i | ||||
\(536\) | −421.533 | − | 417.198i | −0.786441 | − | 0.778355i | ||||
\(537\) | −115.247 | + | 236.378i | −0.214613 | + | 0.440182i | ||||
\(538\) | −454.527 | + | 181.479i | −0.844845 | + | 0.337322i | ||||
\(539\) | − | 693.000i | − | 1.28571i | ||||||
\(540\) | −270.171 | + | 594.362i | −0.500317 | + | 1.10067i | ||||
\(541\) | 661.494 | 1.22272 | 0.611362 | − | 0.791351i | \(-0.290622\pi\) | ||||
0.611362 | + | 0.791351i | \(0.290622\pi\) | |||||||
\(542\) | 319.780 | + | 800.911i | 0.590000 | + | 1.47770i | ||||
\(543\) | −11.4360 | − | 163.204i | −0.0210608 | − | 0.300561i | ||||
\(544\) | −93.7137 | + | 107.149i | −0.172268 | + | 0.196966i | ||||
\(545\) | 162.152 | + | 919.610i | 0.297527 | + | 1.68736i | ||||
\(546\) | 5.91800 | − | 80.0830i | 0.0108388 | − | 0.146672i | ||||
\(547\) | 424.901 | − | 506.378i | 0.776785 | − | 0.925737i | −0.221998 | − | 0.975047i | \(-0.571258\pi\) |
0.998783 | + | 0.0493105i | \(0.0157024\pi\) | |||||||
\(548\) | −166.964 | + | 335.328i | −0.304679 | + | 0.611913i | ||||
\(549\) | 260.577 | − | 138.647i | 0.474639 | − | 0.252545i | ||||
\(550\) | −298.378 | + | 184.752i | −0.542505 | + | 0.335913i | ||||
\(551\) | 963.163 | + | 169.832i | 1.74803 | + | 0.308224i | ||||
\(552\) | 199.615 | − | 232.109i | 0.361621 | − | 0.420487i | ||||
\(553\) | −4.87549 | − | 1.77453i | −0.00881643 | − | 0.00320892i | ||||
\(554\) | −61.5564 | − | 20.2799i | −0.111113 | − | 0.0366064i | ||||
\(555\) | 12.0455 | − | 42.0307i | 0.0217037 | − | 0.0757309i | ||||
\(556\) | 376.070 | + | 42.6436i | 0.676386 | + | 0.0766971i | ||||
\(557\) | −3.82123 | − | 6.61856i | −0.00686037 | − | 0.0118825i | 0.862575 | − | 0.505929i | \(-0.168850\pi\) |
−0.869435 | + | 0.494047i | \(0.835517\pi\) | |||||||
\(558\) | −731.891 | + | 609.396i | −1.31163 | + | 1.09211i | ||||
\(559\) | −98.1841 | − | 56.6866i | −0.175642 | − | 0.101407i | ||||
\(560\) | −97.0599 | + | 149.811i | −0.173321 | + | 0.267519i | ||||
\(561\) | 164.117 | + | 119.202i | 0.292544 | + | 0.212481i | ||||
\(562\) | 52.8496 | + | 253.743i | 0.0940385 | + | 0.451500i | ||||
\(563\) | −256.786 | − | 306.025i | −0.456103 | − | 0.543562i | 0.488160 | − | 0.872754i | \(-0.337668\pi\) |
−0.944263 | + | 0.329192i | \(0.893224\pi\) | |||||||
\(564\) | 151.502 | + | 197.163i | 0.268620 | + | 0.349580i | ||||
\(565\) | −57.4589 | + | 20.9133i | −0.101697 | + | 0.0370148i | ||||
\(566\) | 5.58295 | + | 181.141i | 0.00986388 | + | 0.320036i | ||||
\(567\) | 148.658 | − | 15.7113i | 0.262184 | − | 0.0277095i | ||||
\(568\) | −69.7192 | − | 752.109i | −0.122745 | − | 1.32414i | ||||
\(569\) | −262.682 | + | 95.6085i | −0.461656 | + | 0.168029i | −0.562369 | − | 0.826887i | \(-0.690110\pi\) |
0.100713 | + | 0.994916i | \(0.467888\pi\) | |||||||
\(570\) | −739.166 | − | 1025.87i | −1.29678 | − | 1.79978i | ||||
\(571\) | −221.416 | − | 263.873i | −0.387768 | − | 0.462124i | 0.536482 | − | 0.843912i | \(-0.319753\pi\) |
−0.924250 | + | 0.381788i | \(0.875309\pi\) | |||||||
\(572\) | 428.663 | − | 103.156i | 0.749410 | − | 0.180342i | ||||
\(573\) | 706.032 | + | 512.807i | 1.23217 | + | 0.894951i | ||||
\(574\) | −107.660 | + | 136.642i | −0.187561 | + | 0.238052i | ||||
\(575\) | −127.533 | − | 73.6311i | −0.221796 | − | 0.128054i | ||||
\(576\) | −545.887 | + | 183.803i | −0.947720 | + | 0.319103i | ||||
\(577\) | 157.192 | + | 272.264i | 0.272429 | + | 0.471861i | 0.969483 | − | 0.245158i | \(-0.0788397\pi\) |
−0.697054 | + | 0.717018i | \(0.745506\pi\) | |||||||
\(578\) | −77.1169 | + | 532.872i | −0.133420 | + | 0.921924i | ||||
\(579\) | 244.468 | − | 853.024i | 0.422224 | − | 1.47327i | ||||
\(580\) | −650.573 | − | 192.329i | −1.12168 | − | 0.331602i | ||||
\(581\) | −97.9663 | − | 35.6568i | −0.168617 | − | 0.0613715i | ||||
\(582\) | 322.671 | + | 314.073i | 0.554417 | + | 0.539644i | ||||
\(583\) | 1155.14 | + | 203.682i | 1.98137 | + | 0.349369i | ||||
\(584\) | −389.354 | − | 549.984i | −0.666702 | − | 0.941754i | ||||
\(585\) | −334.664 | − | 208.987i | −0.572075 | − | 0.357243i | ||||
\(586\) | 245.138 | − | 456.518i | 0.418325 | − | 0.779041i | ||||
\(587\) | −503.505 | + | 600.054i | −0.857761 | + | 1.02224i | 0.141717 | + | 0.989907i | \(0.454738\pi\) |
−0.999477 | + | 0.0323320i | \(0.989707\pi\) | |||||||
\(588\) | −546.624 | − | 23.4936i | −0.929633 | − | 0.0399550i | ||||
\(589\) | −320.287 | − | 1816.44i | −0.543780 | − | 3.08393i | ||||
\(590\) | −566.078 | − | 633.894i | −0.959453 | − | 1.07440i | ||||
\(591\) | −12.3308 | − | 175.974i | −0.0208643 | − | 0.297757i | ||||
\(592\) | 34.3507 | − | 17.5490i | 0.0580249 | − | 0.0296436i | ||||
\(593\) | 490.712 | 0.827508 | 0.413754 | − | 0.910389i | \(-0.364217\pi\) | ||||
0.413754 | + | 0.910389i | \(0.364217\pi\) | |||||||
\(594\) | 331.086 | + | 751.023i | 0.557384 | + | 1.26435i | ||||
\(595\) | − | 49.6288i | − | 0.0834097i | ||||||
\(596\) | 251.603 | − | 109.560i | 0.422152 | − | 0.183826i | ||||
\(597\) | −183.021 | + | 375.386i | −0.306568 | + | 0.628787i | ||||
\(598\) | 123.231 | + | 137.994i | 0.206071 | + | 0.230759i | ||||
\(599\) | −384.673 | + | 67.8282i | −0.642192 | + | 0.113236i | −0.485255 | − | 0.874373i | \(-0.661273\pi\) |
−0.156937 | + | 0.987609i | \(0.550162\pi\) | |||||||
\(600\) | 135.614 | + | 241.618i | 0.226023 | + | 0.402696i | ||||
\(601\) | 65.4818 | + | 54.9458i | 0.108955 | + | 0.0914239i | 0.695638 | − | 0.718393i | \(-0.255122\pi\) |
−0.586683 | + | 0.809817i | \(0.699566\pi\) | |||||||
\(602\) | 27.2985 | − | 50.8377i | 0.0453464 | − | 0.0844480i | ||||
\(603\) | 495.966 | + | 446.311i | 0.822498 | + | 0.740151i | ||||
\(604\) | −545.086 | + | 361.205i | −0.902460 | + | 0.598021i | ||||
\(605\) | −115.492 | + | 654.990i | −0.190897 | + | 1.08263i | ||||
\(606\) | 72.8312 | − | 20.5729i | 0.120184 | − | 0.0339488i | ||||
\(607\) | −273.102 | + | 750.341i | −0.449921 | + | 1.23615i | 0.482858 | + | 0.875699i | \(0.339599\pi\) |
−0.932779 | + | 0.360449i | \(0.882624\pi\) | |||||||
\(608\) | 216.162 | − | 1094.39i | 0.355530 | − | 1.79998i | ||||
\(609\) | 37.5994 | + | 150.711i | 0.0617396 | + | 0.247472i | ||||
\(610\) | 56.7928 | − | 392.434i | 0.0931029 | − | 0.643334i | ||||
\(611\) | −130.134 | + | 75.1329i | −0.212985 | + | 0.122967i | ||||
\(612\) | 99.5878 | − | 125.411i | 0.162725 | − | 0.204920i | ||||
\(613\) | 393.511 | − | 681.581i | 0.641943 | − | 1.11188i | −0.343056 | − | 0.939315i | \(-0.611462\pi\) |
0.984999 | − | 0.172563i | \(-0.0552047\pi\) | |||||||
\(614\) | −206.039 | + | 261.504i | −0.335569 | + | 0.425902i | ||||
\(615\) | 347.766 | + | 780.793i | 0.565474 | + | 1.26958i | ||||
\(616\) | 59.1994 | + | 216.455i | 0.0961029 | + | 0.351388i | ||||
\(617\) | 19.2072 | − | 16.1168i | 0.0311300 | − | 0.0261212i | −0.627090 | − | 0.778947i | \(-0.715754\pi\) |
0.658220 | + | 0.752826i | \(0.271310\pi\) | |||||||
\(618\) | 281.678 | − | 625.991i | 0.455790 | − | 1.01293i | ||||
\(619\) | 10.7828 | + | 29.6256i | 0.0174198 | + | 0.0478604i | 0.948098 | − | 0.317979i | \(-0.103004\pi\) |
−0.930678 | + | 0.365839i | \(0.880782\pi\) | |||||||
\(620\) | 78.7909 | + | 1276.98i | 0.127082 | + | 2.05965i | ||||
\(621\) | −211.920 | + | 271.487i | −0.341256 | + | 0.437177i | ||||
\(622\) | −21.7435 | − | 705.475i | −0.0349574 | − | 1.13420i | ||||
\(623\) | 70.3712 | + | 193.343i | 0.112955 | + | 0.310342i | ||||
\(624\) | −66.8351 | − | 341.618i | −0.107108 | − | 0.547464i | ||||
\(625\) | −597.773 | + | 501.591i | −0.956437 | + | 0.802546i | ||||
\(626\) | −40.3526 | − | 193.742i | −0.0644610 | − | 0.309492i | ||||
\(627\) | −1580.88 | − | 165.926i | −2.52133 | − | 0.264635i | ||||
\(628\) | −879.459 | − | 650.036i | −1.40041 | − | 1.03509i | ||||
\(629\) | −5.36225 | + | 9.28770i | −0.00852505 | + | 0.0147658i | ||||
\(630\) | 101.070 | − | 173.529i | 0.160429 | − | 0.275444i | ||||
\(631\) | −632.428 | + | 365.132i | −1.00226 | + | 0.578657i | −0.908917 | − | 0.416977i | \(-0.863089\pi\) |
−0.0933456 | + | 0.995634i | \(0.529756\pi\) | |||||||
\(632\) | −22.4151 | − | 1.84440i | −0.0354669 | − | 0.00291835i | ||||
\(633\) | 138.479 | − | 133.766i | 0.218766 | − | 0.211321i | ||||
\(634\) | 272.514 | + | 89.7807i | 0.429833 | + | 0.141610i | ||||
\(635\) | 242.702 | − | 666.818i | 0.382208 | − | 1.05011i | ||||
\(636\) | 199.821 | − | 904.245i | 0.314184 | − | 1.42177i | ||||
\(637\) | 57.4162 | − | 325.623i | 0.0901353 | − | 0.511183i | ||||
\(638\) | −725.102 | + | 448.975i | −1.13652 | + | 0.703723i | ||||
\(639\) | 118.505 | + | 841.446i | 0.185454 | + | 1.31682i | ||||
\(640\) | −234.517 | + | 737.395i | −0.366433 | + | 1.15218i | ||||
\(641\) | −529.614 | − | 444.399i | −0.826230 | − | 0.693290i | 0.128192 | − | 0.991749i | \(-0.459083\pi\) |
−0.954422 | + | 0.298460i | \(0.903527\pi\) | |||||||
\(642\) | 779.208 | + | 530.074i | 1.21372 | + | 0.825660i | ||||
\(643\) | −584.297 | + | 103.027i | −0.908704 | + | 0.160229i | −0.608415 | − | 0.793619i | \(-0.708194\pi\) |
−0.300289 | + | 0.953848i | \(0.597083\pi\) | |||||||
\(644\) | −68.2690 | + | 64.8545i | −0.106008 | + | 0.100706i | ||||
\(645\) | −158.578 | − | 235.029i | −0.245858 | − | 0.364385i | ||||
\(646\) | 115.004 | + | 288.035i | 0.178025 | + | 0.445875i | ||||
\(647\) | − | 159.465i | − | 0.246468i | −0.992378 | − | 0.123234i | \(-0.960673\pi\) | ||
0.992378 | − | 0.123234i | \(-0.0393266\pi\) | |||||||
\(648\) | 603.616 | − | 235.694i | 0.931506 | − | 0.363725i | ||||
\(649\) | −1068.39 | −1.64621 | ||||||||
\(650\) | −155.507 | + | 62.0894i | −0.239242 | + | 0.0955222i | ||||
\(651\) | 242.833 | − | 163.844i | 0.373015 | − | 0.251680i | ||||
\(652\) | 48.6005 | + | 51.1593i | 0.0745406 | + | 0.0784651i | ||||
\(653\) | −11.3776 | − | 64.5255i | −0.0174236 | − | 0.0988139i | 0.974856 | − | 0.222836i | \(-0.0715316\pi\) |
−0.992279 | + | 0.124023i | \(0.960420\pi\) | |||||||
\(654\) | 521.298 | − | 766.307i | 0.797091 | − | 1.17172i | ||||
\(655\) | 764.116 | − | 910.637i | 1.16659 | − | 1.39029i | ||||
\(656\) | −293.900 | + | 694.454i | −0.448018 | + | 1.05862i | ||||
\(657\) | 466.896 | + | 597.245i | 0.710649 | + | 0.909049i | ||||
\(658\) | −40.2626 | − | 65.0246i | −0.0611893 | − | 0.0988216i | ||||
\(659\) | 808.587 | + | 142.576i | 1.22699 | + | 0.216352i | 0.749332 | − | 0.662194i | \(-0.230375\pi\) |
0.477658 | + | 0.878546i | \(0.341486\pi\) | |||||||
\(660\) | 1076.63 | + | 237.914i | 1.63125 | + | 0.360476i | ||||
\(661\) | 851.333 | + | 309.860i | 1.28795 | + | 0.468774i | 0.893053 | − | 0.449952i | \(-0.148559\pi\) |
0.394894 | + | 0.918727i | \(0.370781\pi\) | |||||||
\(662\) | 344.530 | − | 1045.76i | 0.520438 | − | 1.57970i | ||||
\(663\) | 67.2384 | + | 69.6073i | 0.101415 | + | 0.104988i | ||||
\(664\) | −450.401 | − | 37.0607i | −0.678315 | − | 0.0558143i | ||||
\(665\) | 194.460 | + | 336.814i | 0.292421 | + | 0.506487i | ||||
\(666\) | −37.6640 | + | 21.5546i | −0.0565525 | + | 0.0323642i | ||||
\(667\) | −309.923 | − | 178.934i | −0.464653 | − | 0.268267i | ||||
\(668\) | 173.424 | − | 234.632i | 0.259617 | − | 0.351245i | ||||
\(669\) | 19.7795 | − | 188.451i | 0.0295658 | − | 0.281690i | ||||
\(670\) | 877.495 | − | 182.765i | 1.30969 | − | 0.272783i | ||||
\(671\) | −320.418 | − | 381.859i | −0.477523 | − | 0.569090i | ||||
\(672\) | 172.742 | − | 39.3572i | 0.257057 | − | 0.0585673i | ||||
\(673\) | −849.317 | + | 309.126i | −1.26199 | + | 0.459325i | −0.884435 | − | 0.466663i | \(-0.845456\pi\) |
−0.377551 | + | 0.925989i | \(0.623234\pi\) | |||||||
\(674\) | −441.286 | + | 13.6009i | −0.654727 | + | 0.0201794i | ||||
\(675\) | −165.295 | − | 264.272i | −0.244881 | − | 0.391515i | ||||
\(676\) | −464.752 | + | 28.6756i | −0.687504 | + | 0.0424195i | ||||
\(677\) | 1025.28 | − | 373.172i | 1.51445 | − | 0.551214i | 0.554694 | − | 0.832055i | \(-0.312835\pi\) |
0.959754 | + | 0.280840i | \(0.0906132\pi\) | |||||||
\(678\) | 55.3442 | + | 24.9033i | 0.0816287 | + | 0.0367306i | ||||
\(679\) | −89.0269 | − | 106.098i | −0.131115 | − | 0.156256i | ||||
\(680\) | −56.7536 | − | 207.512i | −0.0834612 | − | 0.305165i | ||||
\(681\) | 621.059 | − | 276.621i | 0.911981 | − | 0.406198i | ||||
\(682\) | 1263.37 | + | 995.408i | 1.85244 | + | 1.45954i | ||||
\(683\) | −550.865 | − | 318.042i | −0.806538 | − | 0.465655i | 0.0392143 | − | 0.999231i | \(-0.487515\pi\) |
−0.845752 | + | 0.533576i | \(0.820848\pi\) | |||||||
\(684\) | −184.473 | + | 1241.34i | −0.269697 | + | 1.81482i | ||||
\(685\) | −283.065 | − | 490.282i | −0.413233 | − | 0.715741i | ||||
\(686\) | 345.549 | + | 50.0076i | 0.503716 | + | 0.0728974i | ||||
\(687\) | −620.937 | + | 154.912i | −0.903839 | + | 0.225491i | ||||
\(688\) | 56.0068 | − | 243.785i | 0.0814052 | − | 0.354338i | ||||
\(689\) | 525.895 | + | 191.410i | 0.763273 | + | 0.277809i | ||||
\(690\) | 125.770 | + | 445.246i | 0.182276 | + | 0.645284i | ||||
\(691\) | 645.060 | + | 113.741i | 0.933516 | + | 0.164604i | 0.619663 | − | 0.784868i | \(-0.287269\pi\) |
0.313853 | + | 0.949472i | \(0.398380\pi\) | |||||||
\(692\) | −417.240 | − | 629.647i | −0.602948 | − | 0.909895i | ||||
\(693\) | −78.0820 | − | 240.076i | −0.112672 | − | 0.346430i | ||||
\(694\) | 10.3857 | + | 5.57687i | 0.0149650 | + | 0.00803584i | ||||
\(695\) | −367.674 | + | 438.177i | −0.529028 | + | 0.630471i | ||||
\(696\) | 329.561 | + | 587.167i | 0.473507 | + | 0.843630i | ||||
\(697\) | −36.4061 | − | 206.469i | −0.0522326 | − | 0.296226i | ||||
\(698\) | −161.413 | + | 144.144i | −0.231251 | + | 0.206511i | ||||
\(699\) | −576.405 | − | 281.029i | −0.824614 | − | 0.402044i | ||||
\(700\) | −34.0248 | − | 78.1372i | −0.0486069 | − | 0.111625i | ||||
\(701\) | −349.923 | −0.499177 | −0.249589 | − | 0.968352i | \(-0.580295\pi\) | ||||
−0.249589 | + | 0.968352i | \(0.580295\pi\) | |||||||
\(702\) | 93.3456 | + | 380.318i | 0.132971 | + | 0.541763i | ||||
\(703\) | − | 84.0434i | − | 0.119550i | ||||||
\(704\) | 495.059 | + | 837.361i | 0.703209 | + | 1.18943i | ||||
\(705\) | −374.865 | + | 26.2674i | −0.531724 | + | 0.0372588i | ||||
\(706\) | −154.574 | + | 138.037i | −0.218943 | + | 0.195519i | ||||
\(707\) | −22.9247 | + | 4.04225i | −0.0324254 | + | 0.00571746i | ||||
\(708\) | −36.2198 | + | 842.726i | −0.0511579 | + | 1.19029i | ||||
\(709\) | 139.215 | + | 116.815i | 0.196353 | + | 0.164760i | 0.735664 | − | 0.677347i | \(-0.236870\pi\) |
−0.539310 | + | 0.842107i | \(0.681315\pi\) | |||||||
\(710\) | 1005.72 | + | 540.044i | 1.41650 | + | 0.760625i | ||||
\(711\) | 25.2870 | + | 0.875743i | 0.0355655 | + | 0.00123171i | ||||
\(712\) | 515.343 | + | 727.950i | 0.723796 | + | 1.02240i | ||||
\(713\) | −117.196 | + | 664.654i | −0.164371 | + | 0.932193i | ||||
\(714\) | −34.3568 | + | 35.2974i | −0.0481188 | + | 0.0494361i | ||||
\(715\) | −227.900 | + | 626.150i | −0.318741 | + | 0.875734i | ||||
\(716\) | 99.4053 | − | 336.248i | 0.138834 | − | 0.469621i | ||||
\(717\) | −868.333 | − | 248.855i | −1.21106 | − | 0.347078i | ||||
\(718\) | 104.314 | + | 15.0962i | 0.145284 | + | 0.0210254i | ||||
\(719\) | 74.8435 | − | 43.2109i | 0.104094 | − | 0.0600987i | −0.447049 | − | 0.894509i | \(-0.647525\pi\) |
0.551143 | + | 0.834411i | \(0.314192\pi\) | |||||||
\(720\) | 224.161 | − | 841.156i | 0.311335 | − | 1.16827i | ||||
\(721\) | −105.570 | + | 182.853i | −0.146422 | + | 0.253610i | ||||
\(722\) | −1341.98 | − | 1057.35i | −1.85870 | − | 1.46447i | ||||
\(723\) | 247.979 | − | 341.417i | 0.342986 | − | 0.472223i | ||||
\(724\) | 51.0374 | + | 212.085i | 0.0704936 | + | 0.292935i | ||||
\(725\) | 248.117 | − | 208.195i | 0.342230 | − | 0.287165i | ||||
\(726\) | 535.576 | − | 385.895i | 0.737708 | − | 0.531536i | ||||
\(727\) | −115.949 | − | 318.567i | −0.159490 | − | 0.438194i | 0.834049 | − | 0.551691i | \(-0.186017\pi\) |
−0.993538 | + | 0.113497i | \(0.963795\pi\) | |||||||
\(728\) | 9.88269 | + | 106.611i | 0.0135751 | + | 0.146444i | ||||
\(729\) | −665.718 | + | 297.087i | −0.913193 | + | 0.407527i | ||||
\(730\) | 1017.92 | − | 31.3733i | 1.39441 | − | 0.0429772i | ||||
\(731\) | 23.7854 | + | 65.3499i | 0.0325382 | + | 0.0893980i | ||||
\(732\) | −312.066 | + | 239.794i | −0.426319 | + | 0.327587i | ||||
\(733\) | −307.759 | + | 258.240i | −0.419862 | + | 0.352306i | −0.828110 | − | 0.560565i | \(-0.810584\pi\) |
0.408249 | + | 0.912871i | \(0.366140\pi\) | |||||||
\(734\) | 1024.52 | − | 213.387i | 1.39581 | − | 0.290719i | ||||
\(735\) | 485.931 | − | 669.030i | 0.661131 | − | 0.910245i | ||||
\(736\) | −211.287 | + | 349.245i | −0.287075 | + | 0.474518i | ||||
\(737\) | 563.402 | − | 975.840i | 0.764453 | − | 1.32407i | ||||
\(738\) | 293.184 | − | 796.073i | 0.397268 | − | 1.07869i | ||||
\(739\) | −472.153 | + | 272.598i | −0.638908 | + | 0.368874i | −0.784194 | − | 0.620516i | \(-0.786923\pi\) |
0.145286 | + | 0.989390i | \(0.453590\pi\) | |||||||
\(740\) | −6.56834 | + | 57.9257i | −0.00887613 | + | 0.0782780i | ||||
\(741\) | −729.066 | − | 208.943i | −0.983895 | − | 0.281974i | ||||
\(742\) | −89.1297 | + | 270.538i | −0.120121 | + | 0.364607i | ||||
\(743\) | −468.474 | + | 1287.12i | −0.630517 | + | 1.73233i | 0.0491289 | + | 0.998792i | \(0.484355\pi\) |
−0.679646 | + | 0.733540i | \(0.737867\pi\) | |||||||
\(744\) | 827.988 | − | 962.772i | 1.11289 | − | 1.29405i | ||||
\(745\) | −72.0181 | + | 408.435i | −0.0966686 | + | 0.548235i | ||||
\(746\) | −301.589 | − | 487.070i | −0.404275 | − | 0.652909i | ||||
\(747\) | 508.109 | + | 17.5969i | 0.680199 | + | 0.0235567i | ||||
\(748\) | −242.101 | − | 120.545i | −0.323664 | − | 0.161156i | ||||
\(749\) | −222.055 | − | 186.326i | −0.296468 | − | 0.248767i | ||||
\(750\) | 486.713 | + | 35.9672i | 0.648950 | + | 0.0479563i | ||||
\(751\) | 292.724 | − | 51.6151i | 0.389779 | − | 0.0687285i | 0.0246753 | − | 0.999696i | \(-0.492145\pi\) |
0.365103 | + | 0.930967i | \(0.381034\pi\) | |||||||
\(752\) | −242.709 | − | 225.844i | −0.322751 | − | 0.300324i | ||||
\(753\) | −796.139 | + | 55.7868i | −1.05729 | + | 0.0740861i | ||||
\(754\) | −377.905 | + | 150.886i | −0.501201 | + | 0.200115i | ||||
\(755\) | − | 988.246i | − | 1.30894i | ||||||
\(756\) | −192.014 | + | 53.4507i | −0.253987 | + | 0.0707019i | ||||
\(757\) | 460.039 | 0.607714 | 0.303857 | − | 0.952718i | \(-0.401726\pi\) | ||||
0.303857 | + | 0.952718i | \(0.401726\pi\) | |||||||
\(758\) | −253.144 | − | 634.017i | −0.333963 | − | 0.836434i | ||||
\(759\) | 522.808 | + | 254.897i | 0.688812 | + | 0.335833i | ||||
\(760\) | 1198.26 | + | 1185.94i | 1.57666 | + | 1.56045i | ||||
\(761\) | −121.257 | − | 687.685i | −0.159340 | − | 0.903660i | −0.954710 | − | 0.297537i | \(-0.903835\pi\) |
0.795371 | − | 0.606123i | \(-0.207276\pi\) | |||||||
\(762\) | −634.239 | + | 306.243i | −0.832334 | + | 0.401894i | ||||
\(763\) | −183.241 | + | 218.379i | −0.240159 | + | 0.286210i | ||||
\(764\) | −1041.52 | − | 518.585i | −1.36324 | − | 0.678776i | ||||
\(765\) | 74.8561 | + | 230.158i | 0.0978511 | + | 0.300860i | ||||
\(766\) | 688.320 | − | 426.201i | 0.898590 | − | 0.556398i | ||||
\(767\) | −502.010 | − | 88.5180i | −0.654512 | − | 0.115408i | ||||
\(768\) | 677.277 | − | 362.105i | 0.881871 | − | 0.471491i | ||||
\(769\) | 564.926 | + | 205.616i | 0.734624 | + | 0.267381i | 0.682121 | − | 0.731239i | \(-0.261058\pi\) |
0.0525034 | + | 0.998621i | \(0.483280\pi\) | |||||||
\(770\) | −322.113 | − | 106.121i | −0.418328 | − | 0.137820i | ||||
\(771\) | −975.059 | + | 243.259i | −1.26467 | + | 0.315511i | ||||
\(772\) | −133.306 | + | 1175.62i | −0.172676 | + | 1.52282i | ||||
\(773\) | 564.367 | + | 977.512i | 0.730099 | + | 1.26457i | 0.956840 | + | 0.290614i | \(0.0938595\pi\) |
−0.226741 | + | 0.973955i | \(0.572807\pi\) | |||||||
\(774\) | −49.9196 | + | 276.939i | −0.0644956 | + | 0.357802i | ||||
\(775\) | −528.997 | − | 305.417i | −0.682577 | − | 0.394086i | ||||
\(776\) | −493.577 | − | 341.819i | −0.636053 | − | 0.440488i | ||||
\(777\) | 12.1931 | − | 5.43081i | 0.0156925 | − | 0.00698946i | ||||
\(778\) | 127.591 | + | 612.593i | 0.163999 | + | 0.787395i | ||||
\(779\) | 1056.08 | + | 1258.59i | 1.35569 | + | 1.61565i | ||||
\(780\) | 486.169 | + | 200.990i | 0.623293 | + | 0.257680i | ||||
\(781\) | 1348.53 | − | 490.823i | 1.72667 | − | 0.628455i | ||||
\(782\) | −3.49609 | − | 113.432i | −0.00447070 | − | 0.145053i | ||||
\(783\) | −401.690 | − | 642.221i | −0.513015 | − | 0.820205i | ||||
\(784\) | 723.972 | − | 89.6808i | 0.923434 | − | 0.114389i | ||||
\(785\) | 1553.11 | − | 565.287i | 1.97849 | − | 0.720111i | ||||
\(786\) | −1173.87 | + | 118.692i | −1.49348 | + | 0.151007i | ||||
\(787\) | −241.147 | − | 287.388i | −0.306414 | − | 0.365169i | 0.590760 | − | 0.806847i | \(-0.298828\pi\) |
−0.897174 | + | 0.441678i | \(0.854383\pi\) | |||||||
\(788\) | 55.0307 | + | 228.679i | 0.0698360 | + | 0.290202i | ||||
\(789\) | −65.6892 | + | 625.858i | −0.0832562 | + | 0.793230i | ||||
\(790\) | 21.0362 | − | 26.6990i | 0.0266281 | − | 0.0337962i | ||||
\(791\) | −16.1661 | − | 9.33352i | −0.0204376 | − | 0.0117996i | ||||
\(792\) | −601.025 | − | 914.535i | −0.758870 | − | 1.15472i | ||||
\(793\) | −118.919 | − | 205.973i | −0.149961 | − | 0.259739i | ||||
\(794\) | 25.7311 | − | 177.800i | 0.0324069 | − | 0.223929i | ||||
\(795\) | 972.362 | + | 1006.62i | 1.22310 | + | 1.26619i | ||||
\(796\) | 157.863 | − | 533.988i | 0.198320 | − | 0.670839i | ||||
\(797\) | 590.232 | + | 214.827i | 0.740567 | + | 0.269544i | 0.684631 | − | 0.728890i | \(-0.259963\pi\) |
0.0559363 | + | 0.998434i | \(0.482186\pi\) | |||||||
\(798\) | 94.8634 | − | 374.172i | 0.118876 | − | 0.468887i | ||||
\(799\) | 90.7738 | + | 16.0059i | 0.113609 | + | 0.0200324i | ||||
\(800\) | −231.622 | − | 287.804i | −0.289528 | − | 0.359756i | ||||
\(801\) | −617.976 | − | 790.504i | −0.771506 | − | 0.986896i | ||||
\(802\) | −427.889 | + | 796.853i | −0.533528 | + | 0.993582i | ||||
\(803\) | 822.940 | − | 980.741i | 1.02483 | − | 1.22135i | ||||
\(804\) | −750.623 | − | 477.482i | −0.933611 | − | 0.593883i | ||||
\(805\) | −24.7118 | − | 140.148i | −0.0306979 | − | 0.174097i | ||||
\(806\) | 511.153 | + | 572.389i | 0.634185 | + | 0.710160i | ||||
\(807\) | −608.559 | + | 410.606i | −0.754100 | + | 0.508805i | ||||
\(808\) | −91.2323 | + | 43.1177i | −0.112911 | + | 0.0533634i | ||||
\(809\) | −743.913 | −0.919547 | −0.459773 | − | 0.888036i | \(-0.652069\pi\) | ||||
−0.459773 | + | 0.888036i | \(0.652069\pi\) | |||||||
\(810\) | −206.983 | + | 957.204i | −0.255534 | + | 1.18173i | ||||
\(811\) | − | 359.086i | − | 0.442770i | −0.975187 | − | 0.221385i | \(-0.928942\pi\) | ||
0.975187 | − | 0.221385i | \(-0.0710577\pi\) | |||||||
\(812\) | −82.6854 | − | 189.885i | −0.101829 | − | 0.233848i | ||||
\(813\) | 723.519 | + | 1072.33i | 0.889937 | + | 1.31898i | ||||
\(814\) | 48.8152 | + | 54.6633i | 0.0599695 | + | 0.0671539i | ||||
\(815\) | −105.024 | + | 18.5185i | −0.128863 | + | 0.0227221i | ||||
\(816\) | −103.291 | + | 186.878i | −0.126582 | + | 0.229017i | ||||
\(817\) | −417.484 | − | 350.311i | −0.510996 | − | 0.428777i | ||||
\(818\) | 551.138 | − | 1026.38i | 0.673762 | − | 1.25474i | ||||
\(819\) | −16.7981 | − | 119.275i | −0.0205105 | − | 0.145635i | ||||
\(820\) | −629.526 | − | 950.003i | −0.767715 | − | 1.15854i | ||||
\(821\) | −14.8381 | + | 84.1513i | −0.0180733 | + | 0.102499i | −0.992510 | − | 0.122164i | \(-0.961017\pi\) |
0.974437 | + | 0.224662i | \(0.0721279\pi\) | |||||||
\(822\) | −138.088 | + | 544.662i | −0.167990 | + | 0.662606i | ||||
\(823\) | −191.591 | + | 526.392i | −0.232796 | + | 0.639601i | −0.999998 | − | 0.00180367i | \(-0.999426\pi\) |
0.767203 | + | 0.641405i | \(0.221648\pi\) | |||||||
\(824\) | −232.315 | + | 885.286i | −0.281936 | + | 1.07438i | ||||
\(825\) | −378.621 | + | 365.735i | −0.458934 | + | 0.443316i | ||||
\(826\) | 37.1602 | − | 256.774i | 0.0449881 | − | 0.310865i | ||||
\(827\) | −719.173 | + | 415.215i | −0.869617 | + | 0.502073i | −0.867221 | − | 0.497924i | \(-0.834096\pi\) |
−0.00239586 | + | 0.999997i | \(0.500763\pi\) | |||||||
\(828\) | 218.782 | − | 403.740i | 0.264229 | − | 0.487608i | ||||
\(829\) | −389.464 | + | 674.571i | −0.469799 | + | 0.813716i | −0.999404 | − | 0.0345285i | \(-0.989007\pi\) |
0.529604 | + | 0.848245i | \(0.322340\pi\) | |||||||
\(830\) | 422.694 | − | 536.480i | 0.509270 | − | 0.646362i | ||||
\(831\) | −96.6854 | − | 10.1479i | −0.116348 | − | 0.0122117i | ||||
\(832\) | 163.239 | + | 434.471i | 0.196201 | + | 0.522201i | ||||
\(833\) | −155.370 | + | 130.371i | −0.186519 | + | 0.156508i | ||||
\(834\) | 564.841 | − | 57.1117i | 0.677267 | − | 0.0684792i | ||||
\(835\) | 150.814 | + | 414.357i | 0.180615 | + | 0.496236i | ||||
\(836\) | 2115.39 | − | 130.521i | 2.53037 | − | 0.156126i | ||||
\(837\) | −879.029 | + | 1126.11i | −1.05021 | + | 1.34541i | ||||
\(838\) | −0.224514 | − | 7.28442i | −0.000267916 | − | 0.00869263i | ||||
\(839\) | 37.7515 | + | 103.721i | 0.0449958 | + | 0.123625i | 0.960155 | − | 0.279467i | \(-0.0901577\pi\) |
−0.915160 | + | 0.403092i | \(0.867936\pi\) | |||||||
\(840\) | −94.6262 | + | 250.478i | −0.112650 | + | 0.298189i | ||||
\(841\) | −41.2825 | + | 34.6401i | −0.0490873 | + | 0.0411892i | ||||
\(842\) | −234.000 | − | 1123.49i | −0.277909 | − | 1.33431i | ||||
\(843\) | 158.183 | + | 355.148i | 0.187643 | + | 0.421290i | ||||
\(844\) | −152.589 | + | 206.443i | −0.180792 | + | 0.244601i | ||||
\(845\) | 351.860 | − | 609.439i | 0.416402 | − | 0.721229i | ||||
\(846\) | 284.799 | + | 240.828i | 0.336642 | + | 0.284667i | ||||
\(847\) | −175.840 | + | 101.521i | −0.207603 | + | 0.119860i | ||||
\(848\) | −63.2993 | + | 1233.12i | −0.0746454 | + | 1.45415i | ||||
\(849\) | 65.8021 | + | 263.756i | 0.0775054 | + | 0.310666i | ||||
\(850\) | 97.5537 | + | 32.1394i | 0.114769 | + | 0.0378111i | ||||
\(851\) | −10.5179 | + | 28.8978i | −0.0123595 | + | 0.0339575i | ||||
\(852\) | −341.435 | − | 1080.33i | −0.400745 | − | 1.26799i | ||||
\(853\) | 240.162 | − | 1362.02i | 0.281549 | − | 1.59675i | −0.435808 | − | 0.900040i | \(-0.643537\pi\) |
0.717357 | − | 0.696706i | \(-0.245352\pi\) | |||||||
\(854\) | 102.920 | − | 63.7267i | 0.120515 | − | 0.0746214i | ||||
\(855\) | −1409.85 | − | 1268.70i | −1.64894 | − | 1.48386i | ||||
\(856\) | −1141.55 | − | 525.149i | −1.33359 | − | 0.613492i | ||||
\(857\) | 434.325 | + | 364.442i | 0.506796 | + | 0.425253i | 0.860000 | − | 0.510294i | \(-0.170463\pi\) |
−0.353204 | + | 0.935546i | \(0.614908\pi\) | |||||||
\(858\) | 595.558 | − | 287.566i | 0.694124 | − | 0.335158i | ||||
\(859\) | 920.969 | − | 162.392i | 1.07214 | − | 0.189047i | 0.390403 | − | 0.920644i | \(-0.372336\pi\) |
0.681738 | + | 0.731597i | \(0.261225\pi\) | |||||||
\(860\) | 260.366 | + | 274.075i | 0.302752 | + | 0.318691i | ||||
\(861\) | −114.354 | + | 234.546i | −0.132815 | + | 0.272411i | ||||
\(862\) | −160.392 | − | 401.712i | −0.186069 | − | 0.466023i | ||||
\(863\) | 394.937i | 0.457633i | 0.973470 | + | 0.228817i | \(0.0734856\pi\) | ||||
−0.973470 | + | 0.228817i | \(0.926514\pi\) | |||||||
\(864\) | −741.743 | + | 443.073i | −0.858499 | + | 0.512816i | ||||
\(865\) | 1141.56 | 1.31972 | ||||||||
\(866\) | 1327.90 | − | 530.191i | 1.53337 | − | 0.612230i | ||||
\(867\) | 56.4539 | + | 805.660i | 0.0651141 | + | 0.929250i | ||||
\(868\) | −283.175 | + | 269.012i | −0.326239 | + | 0.309922i | ||||
\(869\) | −7.42011 | − | 42.0816i | −0.00853868 | − | 0.0484253i | ||||
\(870\) | −1014.84 | − | 74.9952i | −1.16649 | − | 0.0862014i | ||||
\(871\) | 345.578 | − | 411.844i | 0.396760 | − | 0.472841i | ||||
\(872\) | −516.455 | + | 1122.65i | −0.592265 | + | 1.28744i | ||||
\(873\) | 572.900 | + | 357.758i | 0.656243 | + | 0.409803i | ||||
\(874\) | 468.185 | + | 756.125i | 0.535681 | + | 0.865132i | ||||
\(875\) | −147.833 | − | 26.0670i | −0.168952 | − | 0.0297908i | ||||
\(876\) | −745.690 | − | 682.367i | −0.851245 | − | 0.778957i | ||||
\(877\) | −123.759 | − | 45.0445i | −0.141116 | − | 0.0513621i | 0.270497 | − | 0.962721i | \(-0.412812\pi\) |
−0.411613 | + | 0.911359i | \(0.635034\pi\) | |||||||
\(878\) | −246.379 | + | 747.843i | −0.280614 | + | 0.851757i | ||||
\(879\) | 214.133 | − | 747.178i | 0.243610 | − | 0.850032i | ||||
\(880\) | −1468.20 | − | 75.3665i | −1.66841 | − | 0.0856438i | ||||
\(881\) | −84.5946 | − | 146.522i | −0.0960211 | − | 0.166313i | 0.814013 | − | 0.580846i | \(-0.197278\pi\) |
−0.910034 | + | 0.414533i | \(0.863945\pi\) | |||||||
\(882\) | −808.762 | + | 139.434i | −0.916964 | + | 0.158089i | ||||
\(883\) | 470.009 | + | 271.360i | 0.532287 | + | 0.307316i | 0.741947 | − | 0.670458i | \(-0.233902\pi\) |
−0.209660 | + | 0.977774i | \(0.567236\pi\) | |||||||
\(884\) | −103.770 | − | 76.6995i | −0.117387 | − | 0.0867642i | ||||
\(885\) | −1031.44 | − | 749.156i | −1.16547 | − | 0.846504i | ||||
\(886\) | −934.653 | + | 194.669i | −1.05491 | + | 0.219717i | ||||
\(887\) | −663.573 | − | 790.815i | −0.748109 | − | 0.891561i | 0.248925 | − | 0.968523i | \(-0.419923\pi\) |
−0.997034 | + | 0.0769612i | \(0.975478\pi\) | |||||||
\(888\) | 44.7722 | − | 36.6513i | 0.0504192 | − | 0.0412740i | ||||
\(889\) | 203.569 | − | 74.0929i | 0.228986 | − | 0.0833441i | ||||
\(890\) | −1347.30 | + | 41.5252i | −1.51382 | + | 0.0466575i | ||||
\(891\) | 724.224 | + | 995.601i | 0.812821 | + | 1.11740i | ||||
\(892\) | 15.5590 | + | 252.168i | 0.0174428 | + | 0.282700i | ||||
\(893\) | −678.768 | + | 247.051i | −0.760099 | + | 0.276653i | ||||
\(894\) | 333.971 | − | 240.634i | 0.373570 | − | 0.269166i | ||||
\(895\) | 340.623 | + | 405.939i | 0.380585 | + | 0.453563i | ||||
\(896\) | −218.468 | + | 89.8565i | −0.243826 | + | 0.100286i | ||||
\(897\) | 224.536 | + | 163.085i | 0.250319 | + | 0.181812i | ||||
\(898\) | −121.781 | − | 95.9512i | −0.135613 | − | 0.106850i | ||||
\(899\) | −1285.54 | − | 742.208i | −1.42997 | − | 0.825592i | ||||
\(900\) | 275.649 | + | 311.047i | 0.306277 | + | 0.345608i | ||||
\(901\) | −171.645 | − | 297.299i | −0.190506 | − | 0.329965i | ||||
\(902\) | −1417.93 | − | 205.201i | −1.57198 | − | 0.227496i | ||||
\(903\) | 23.8458 | − | 83.2055i | 0.0264073 | − | 0.0921434i | ||||
\(904\) | −78.2687 | − | 20.5391i | −0.0865804 | − | 0.0227203i | ||||
\(905\) | −309.794 | − | 112.756i | −0.342314 | − | 0.124592i | ||||
\(906\) | −684.140 | + | 702.869i | −0.755121 | + | 0.775793i | ||||
\(907\) | −1557.22 | − | 274.580i | −1.71689 | − | 0.302735i | −0.773349 | − | 0.633980i | \(-0.781420\pi\) |
−0.943545 | + | 0.331245i | \(0.892531\pi\) | |||||||
\(908\) | −755.652 | + | 500.738i | −0.832216 | + | 0.551473i | ||||
\(909\) | 100.218 | − | 53.3241i | 0.110251 | − | 0.0586624i | ||||
\(910\) | −142.560 | − | 76.5512i | −0.156660 | − | 0.0841222i | ||||
\(911\) | 1014.93 | − | 1209.55i | 1.11408 | − | 1.32771i | 0.174788 | − | 0.984606i | \(-0.444076\pi\) |
0.939296 | − | 0.343108i | \(-0.111480\pi\) | |||||||
\(912\) | −31.2382 | − | 1673.00i | −0.0342525 | − | 1.83443i | ||||
\(913\) | −149.097 | − | 845.572i | −0.163305 | − | 0.926147i | ||||
\(914\) | −160.774 | + | 143.573i | −0.175901 | + | 0.157083i | ||||
\(915\) | −41.5755 | − | 593.328i | −0.0454377 | − | 0.648446i | ||||
\(916\) | 782.338 | − | 340.669i | 0.854081 | − | 0.371910i | ||||
\(917\) | 362.907 | 0.395755 | ||||||||
\(918\) | 106.093 | − | 215.516i | 0.115570 | − | 0.234767i | ||||
\(919\) | 1157.09i | 1.25907i | 0.776971 | + | 0.629536i | \(0.216755\pi\) | ||||
−0.776971 | + | 0.629536i | \(0.783245\pi\) | |||||||
\(920\) | −263.595 | − | 557.739i | −0.286516 | − | 0.606238i | ||||
\(921\) | −218.850 | + | 448.873i | −0.237622 | + | 0.487375i | ||||
\(922\) | 775.279 | − | 692.337i | 0.840867 | − | 0.750907i | ||||
\(923\) | 674.304 | − | 118.898i | 0.730557 | − | 0.128817i | ||||
\(924\) | 155.631 | + | 298.468i | 0.168431 | + | 0.323017i | ||||
\(925\) | −21.3212 | − | 17.8906i | −0.0230500 | − | 0.0193412i | ||||
\(926\) | −113.351 | − | 60.8667i | −0.122410 | − | 0.0657308i | ||||
\(927\) | 213.790 | − | 1007.23i | 0.230625 | − | 1.08655i | ||||
\(928\) | −562.877 | − | 699.407i | −0.606548 | − | 0.753671i | ||||
\(929\) | −81.8517 | + | 464.204i | −0.0881073 | + | 0.499681i | 0.908535 | + | 0.417808i | \(0.137201\pi\) |
−0.996643 | + | 0.0818735i | \(0.973910\pi\) | |||||||
\(930\) | 521.688 | + | 1846.85i | 0.560954 | + | 1.98586i | ||||
\(931\) | 543.615 | − | 1493.57i | 0.583904 | − | 1.60426i | ||||
\(932\) | 819.939 | + | 242.399i | 0.879763 | + | 0.260085i | ||||
\(933\) | −256.274 | − | 1027.23i | −0.274678 | − | 1.10100i | ||||
\(934\) | 812.229 | + | 117.545i | 0.869625 | + | 0.125852i | ||||
\(935\) | 353.975 | − | 204.367i | 0.378583 | − | 0.218575i | ||||
\(936\) | −206.636 | − | 479.513i | −0.220765 | − | 0.512300i | ||||
\(937\) | 843.286 | − | 1460.61i | 0.899985 | − | 1.55882i | 0.0724733 | − | 0.997370i | \(-0.476911\pi\) |
0.827511 | − | 0.561449i | \(-0.189756\pi\) | |||||||
\(938\) | 214.935 | + | 169.347i | 0.229141 | + | 0.180541i | ||||
\(939\) | −120.779 | − | 271.168i | −0.128625 | − | 0.288784i | ||||
\(940\) | 487.139 | − | 117.228i | 0.518233 | − | 0.124711i | ||||
\(941\) | −744.214 | + | 624.470i | −0.790876 | + | 0.663624i | −0.945962 | − | 0.324277i | \(-0.894879\pi\) |
0.155086 | + | 0.987901i | \(0.450434\pi\) | |||||||
\(942\) | −1495.95 | − | 673.136i | −1.58806 | − | 0.714582i | ||||
\(943\) | −205.616 | − | 564.926i | −0.218045 | − | 0.599074i | ||||
\(944\) | −138.260 | − | 1116.14i | −0.146462 | − | 1.18235i | ||||
\(945\) | 92.9601 | − | 286.523i | 0.0983705 | − | 0.303199i | ||||
\(946\) | 475.011 | − | 14.6404i | 0.502125 | − | 0.0154761i | ||||
\(947\) | 135.532 | + | 372.370i | 0.143117 | + | 0.393210i | 0.990454 | − | 0.137846i | \(-0.0440177\pi\) |
−0.847337 | + | 0.531056i | \(0.821796\pi\) | |||||||
\(948\) | −33.4446 | + | 4.42622i | −0.0352792 | + | 0.00466901i | ||||
\(949\) | 467.935 | − | 392.644i | 0.493082 | − | 0.413745i | ||||
\(950\) | −787.997 | + | 164.124i | −0.829470 | + | 0.172762i | ||||
\(951\) | 428.033 | + | 44.9257i | 0.450087 | + | 0.0472404i | ||||
\(952\) | 37.3920 | − | 53.9931i | 0.0392774 | − | 0.0567154i | ||||
\(953\) | −313.035 | + | 542.192i | −0.328473 | + | 0.568932i | −0.982209 | − | 0.187791i | \(-0.939867\pi\) |
0.653736 | + | 0.756723i | \(0.273201\pi\) | |||||||
\(954\) | 5.28814 | − | 1389.08i | 0.00554313 | − | 1.45606i | ||||
\(955\) | 1522.80 | − | 879.190i | 1.59456 | − | 0.920617i | ||||
\(956\) | 1196.72 | + | 135.699i | 1.25180 | + | 0.141944i | ||||
\(957\) | −920.104 | + | 888.791i | −0.961446 | + | 0.928726i | ||||
\(958\) | −299.099 | + | 907.864i | −0.312212 | + | 0.947666i | ||||
\(959\) | 59.1114 | − | 162.407i | 0.0616386 | − | 0.169351i | ||||
\(960\) | −109.221 | + | 1155.53i | −0.113772 | + | 1.20368i | ||||
\(961\) | −319.247 | + | 1810.54i | −0.332203 | + | 1.88401i | ||||
\(962\) | 18.4081 | + | 29.7293i | 0.0191352 | + | 0.0309037i | ||||
\(963\) | 1310.84 | + | 529.173i | 1.36120 | + | 0.549505i | ||||
\(964\) | −250.773 | + | 503.649i | −0.260138 | + | 0.522458i | ||||
\(965\) | −1369.77 | − | 1149.37i | −1.41945 | − | 1.19106i | ||||
\(966\) | −79.4453 | + | 116.785i | −0.0822416 | + | 0.120895i | ||||
\(967\) | −266.429 | + | 46.9787i | −0.275521 | + | 0.0485819i | −0.309702 | − | 0.950834i | \(-0.600229\pi\) |
0.0341801 | + | 0.999416i | \(0.489118\pi\) | |||||||
\(968\) | −619.141 | + | 625.574i | −0.639609 | + | 0.646254i | ||||
\(969\) | 260.202 | + | 385.646i | 0.268527 | + | 0.397983i | ||||
\(970\) | 842.675 | − | 336.455i | 0.868738 | − | 0.346861i | ||||
\(971\) | 1334.83i | 1.37469i | 0.726330 | + | 0.687346i | \(0.241225\pi\) | ||||
−0.726330 | + | 0.687346i | \(0.758775\pi\) | |||||||
\(972\) | 809.862 | − | 537.501i | 0.833191 | − | 0.552985i | ||||
\(973\) | −174.622 | −0.179468 | ||||||||
\(974\) | −557.903 | − | 1397.31i | −0.572795 | − | 1.43461i | ||||
\(975\) | −208.206 | + | 140.481i | −0.213545 | + | 0.144083i | ||||
\(976\) | 357.461 | − | 384.155i | 0.366251 | − | 0.393601i | ||||
\(977\) | 0.757884 | + | 4.29817i | 0.000775726 | + | 0.00439936i | 0.985193 | − | 0.171448i | \(-0.0548446\pi\) |
−0.984417 | + | 0.175847i | \(0.943733\pi\) | |||||||
\(978\) | 87.5158 | + | 59.5346i | 0.0894844 | + | 0.0608738i | ||||
\(979\) | −1089.23 | + | 1298.09i | −1.11259 | + | 1.32594i | ||||
\(980\) | −491.407 | + | 986.935i | −0.501436 | + | 1.00708i | ||||
\(981\) | 520.412 | − | 1289.14i | 0.530492 | − | 1.31410i | ||||
\(982\) | 63.4757 | − | 39.3035i | 0.0646392 | − | 0.0400239i | ||||
\(983\) | 228.830 | + | 40.3488i | 0.232787 | + | 0.0410466i | 0.288825 | − | 0.957382i | \(-0.406736\pi\) |
−0.0560376 | + | 0.998429i | \(0.517847\pi\) | |||||||
\(984\) | −209.928 | + | 1111.48i | −0.213342 | + | 1.12955i | ||||
\(985\) | −334.033 | − | 121.578i | −0.339120 | − | 0.123430i | ||||
\(986\) | 237.070 | + | 78.1035i | 0.240436 | + | 0.0792125i | ||||
\(987\) | −79.7037 | − | 82.5118i | −0.0807535 | − | 0.0835986i | ||||
\(988\) | 1004.78 | + | 113.935i | 1.01699 | + | 0.115319i | ||||
\(989\) | 99.7082 | + | 172.700i | 0.100817 | + | 0.174621i | ||||
\(990\) | 1653.89 | + | 6.29625i | 1.67060 | + | 0.00635985i | ||||
\(991\) | 277.126 | + | 159.999i | 0.279643 | + | 0.161452i | 0.633262 | − | 0.773938i | \(-0.281716\pi\) |
−0.353619 | + | 0.935390i | \(0.615049\pi\) | |||||||
\(992\) | −876.404 | + | 1448.64i | −0.883472 | + | 1.46033i | ||||
\(993\) | 172.400 | − | 1642.56i | 0.173616 | − | 1.65414i | ||||
\(994\) | 71.0594 | + | 341.172i | 0.0714883 | + | 0.343232i | ||||
\(995\) | 540.936 | + | 644.662i | 0.543654 | + | 0.647902i | ||||
\(996\) | −672.025 | + | 88.9389i | −0.674724 | + | 0.0892961i | ||||
\(997\) | −1128.21 | + | 410.635i | −1.13160 | + | 0.411870i | −0.838874 | − | 0.544325i | \(-0.816786\pi\) |
−0.292730 | + | 0.956195i | \(0.594564\pi\) | |||||||
\(998\) | 41.3525 | + | 1341.69i | 0.0414354 | + | 1.34438i | ||||
\(999\) | −48.3550 | + | 43.5769i | −0.0484034 | + | 0.0436205i |
(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 | 108.3.j.a.7.6 | yes | 204 | |
3.2 | odd | 2 | 324.3.j.a.19.29 | 204 | |||
4.3 | odd | 2 | inner | 108.3.j.a.7.5 | ✓ | 204 | |
12.11 | even | 2 | 324.3.j.a.19.30 | 204 | |||
27.4 | even | 9 | inner | 108.3.j.a.31.5 | yes | 204 | |
27.23 | odd | 18 | 324.3.j.a.307.30 | 204 | |||
108.23 | even | 18 | 324.3.j.a.307.29 | 204 | |||
108.31 | odd | 18 | inner | 108.3.j.a.31.6 | yes | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.5 | ✓ | 204 | 4.3 | odd | 2 | inner | |
108.3.j.a.7.6 | yes | 204 | 1.1 | even | 1 | trivial | |
108.3.j.a.31.5 | yes | 204 | 27.4 | even | 9 | inner | |
108.3.j.a.31.6 | yes | 204 | 108.31 | odd | 18 | inner | |
324.3.j.a.19.29 | 204 | 3.2 | odd | 2 | |||
324.3.j.a.19.30 | 204 | 12.11 | even | 2 | |||
324.3.j.a.307.29 | 204 | 108.23 | even | 18 | |||
324.3.j.a.307.30 | 204 | 27.23 | odd | 18 |