Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 85.13 | ||
Character | \(\chi\) | \(=\) | 384.85 |
Dual form | 384.2.v.a.253.13 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{29}{32}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.540446 | − | 1.30687i | −0.382153 | − | 0.924099i | ||||
\(3\) | 0.634393 | − | 0.773010i | 0.366267 | − | 0.446298i | ||||
\(4\) | −1.41584 | + | 1.41259i | −0.707919 | + | 0.706294i | ||||
\(5\) | −3.76594 | + | 1.14238i | −1.68418 | + | 0.510890i | −0.979977 | − | 0.199110i | \(-0.936195\pi\) |
−0.704202 | + | 0.710000i | \(0.748695\pi\) | |||||||
\(6\) | −1.35308 | − | 0.411302i | −0.552393 | − | 0.167913i | ||||
\(7\) | 5.02585 | + | 0.999703i | 1.89959 | + | 0.377852i | 0.998449 | − | 0.0556705i | \(-0.0177296\pi\) |
0.901143 | + | 0.433523i | \(0.142730\pi\) | |||||||
\(8\) | 2.61126 | + | 1.08689i | 0.923219 | + | 0.384275i | ||||
\(9\) | −0.195090 | − | 0.980785i | −0.0650301 | − | 0.326928i | ||||
\(10\) | 3.52824 | + | 4.30421i | 1.11573 | + | 1.36111i | ||||
\(11\) | 4.06125 | + | 0.399998i | 1.22451 | + | 0.120604i | 0.689528 | − | 0.724259i | \(-0.257818\pi\) |
0.534983 | + | 0.844863i | \(0.320318\pi\) | |||||||
\(12\) | 0.193748 | + | 1.99059i | 0.0559302 | + | 0.574635i | ||||
\(13\) | −0.709129 | + | 2.33768i | −0.196677 | + | 0.648357i | 0.802019 | + | 0.597299i | \(0.203759\pi\) |
−0.998696 | + | 0.0510581i | \(0.983741\pi\) | |||||||
\(14\) | −1.40971 | − | 7.10843i | −0.376761 | − | 1.89981i | ||||
\(15\) | −1.50601 | + | 3.63583i | −0.388850 | + | 0.938768i | ||||
\(16\) | 0.00918989 | − | 3.99999i | 0.00229747 | − | 0.999997i | ||||
\(17\) | −1.18238 | − | 2.85451i | −0.286769 | − | 0.692321i | 0.713194 | − | 0.700967i | \(-0.247248\pi\) |
−0.999963 | + | 0.00864586i | \(0.997248\pi\) | |||||||
\(18\) | −1.17633 | + | 0.785019i | −0.277263 | + | 0.185031i | ||||
\(19\) | 1.81765 | − | 0.971557i | 0.416999 | − | 0.222890i | −0.249534 | − | 0.968366i | \(-0.580278\pi\) |
0.666533 | + | 0.745476i | \(0.267778\pi\) | |||||||
\(20\) | 3.71824 | − | 6.93715i | 0.831423 | − | 1.55119i | ||||
\(21\) | 3.96114 | − | 3.25083i | 0.864393 | − | 0.709389i | ||||
\(22\) | −1.67214 | − | 5.52371i | −0.356501 | − | 1.17766i | ||||
\(23\) | 2.07867 | − | 3.11095i | 0.433433 | − | 0.648678i | −0.548885 | − | 0.835898i | \(-0.684948\pi\) |
0.982318 | + | 0.187219i | \(0.0599476\pi\) | |||||||
\(24\) | 2.49674 | − | 1.32901i | 0.509646 | − | 0.271283i | ||||
\(25\) | 8.71990 | − | 5.82645i | 1.74398 | − | 1.16529i | ||||
\(26\) | 3.43830 | − | 0.336649i | 0.674307 | − | 0.0660224i | ||||
\(27\) | −0.881921 | − | 0.471397i | −0.169726 | − | 0.0907203i | ||||
\(28\) | −8.52795 | + | 5.68404i | −1.61163 | + | 1.07418i | ||||
\(29\) | 0.754197 | + | 7.65749i | 0.140051 | + | 1.42196i | 0.766373 | + | 0.642396i | \(0.222060\pi\) |
−0.626322 | + | 0.779564i | \(0.715440\pi\) | |||||||
\(30\) | 5.56549 | + | 0.00319664i | 1.01611 | + | 0.000583624i | ||||
\(31\) | 1.31544 | + | 1.31544i | 0.236261 | + | 0.236261i | 0.815300 | − | 0.579039i | \(-0.196572\pi\) |
−0.579039 | + | 0.815300i | \(0.696572\pi\) | |||||||
\(32\) | −5.23245 | + | 2.14977i | −0.924975 | + | 0.380029i | ||||
\(33\) | 2.88563 | − | 2.88563i | 0.502324 | − | 0.502324i | ||||
\(34\) | −3.09148 | + | 3.08793i | −0.530184 | + | 0.529575i | ||||
\(35\) | −20.0691 | + | 1.97663i | −3.39229 | + | 0.334112i | ||||
\(36\) | 1.66166 | + | 1.11305i | 0.276944 | + | 0.185508i | ||||
\(37\) | 1.00278 | − | 1.87607i | 0.164856 | − | 0.308424i | −0.785906 | − | 0.618346i | \(-0.787803\pi\) |
0.950762 | + | 0.309922i | \(0.100303\pi\) | |||||||
\(38\) | −2.25205 | − | 1.85037i | −0.365330 | − | 0.300170i | ||||
\(39\) | 1.35719 | + | 2.03117i | 0.217324 | + | 0.325248i | ||||
\(40\) | −11.0755 | − | 1.11011i | −1.75119 | − | 0.175524i | ||||
\(41\) | −0.465749 | − | 0.311203i | −0.0727377 | − | 0.0486018i | 0.518670 | − | 0.854975i | \(-0.326427\pi\) |
−0.591407 | + | 0.806373i | \(0.701427\pi\) | |||||||
\(42\) | −6.38920 | − | 3.41982i | −0.985876 | − | 0.527690i | ||||
\(43\) | 4.07158 | + | 4.96124i | 0.620910 | + | 0.756582i | 0.984578 | − | 0.174947i | \(-0.0559755\pi\) |
−0.363667 | + | 0.931529i | \(0.618476\pi\) | |||||||
\(44\) | −6.31510 | + | 5.17054i | −0.952037 | + | 0.779488i | ||||
\(45\) | 1.85513 | + | 3.47071i | 0.276547 | + | 0.517383i | ||||
\(46\) | −5.18903 | − | 1.03526i | −0.765081 | − | 0.152641i | ||||
\(47\) | 8.31103 | − | 3.44254i | 1.21229 | − | 0.502146i | 0.317338 | − | 0.948313i | \(-0.397211\pi\) |
0.894950 | + | 0.446166i | \(0.147211\pi\) | |||||||
\(48\) | −3.08620 | − | 2.54467i | −0.445455 | − | 0.367292i | ||||
\(49\) | 17.7926 | + | 7.36993i | 2.54180 | + | 1.05285i | ||||
\(50\) | −12.3271 | − | 8.24693i | −1.74331 | − | 1.16629i | ||||
\(51\) | −2.95666 | − | 0.896893i | −0.414015 | − | 0.125590i | ||||
\(52\) | −2.29817 | − | 4.31149i | −0.318699 | − | 0.597896i | ||||
\(53\) | −0.366200 | + | 3.71809i | −0.0503015 | + | 0.510720i | 0.936714 | + | 0.350095i | \(0.113851\pi\) |
−0.987016 | + | 0.160624i | \(0.948649\pi\) | |||||||
\(54\) | −0.139426 | + | 1.40732i | −0.0189734 | + | 0.191513i | ||||
\(55\) | −15.7514 | + | 3.13314i | −2.12391 | + | 0.422472i | ||||
\(56\) | 12.0372 | + | 8.07304i | 1.60854 | + | 1.07881i | ||||
\(57\) | 0.402084 | − | 2.02142i | 0.0532574 | − | 0.267743i | ||||
\(58\) | 9.59977 | − | 5.12410i | 1.26051 | − | 0.672827i | ||||
\(59\) | 0.620862 | + | 2.04671i | 0.0808293 | + | 0.266459i | 0.988035 | − | 0.154228i | \(-0.0492891\pi\) |
−0.907206 | + | 0.420687i | \(0.861789\pi\) | |||||||
\(60\) | −3.00367 | − | 7.27512i | −0.387772 | − | 0.939214i | ||||
\(61\) | −1.85378 | − | 1.52136i | −0.237352 | − | 0.194790i | 0.508196 | − | 0.861241i | \(-0.330312\pi\) |
−0.745548 | + | 0.666451i | \(0.767812\pi\) | |||||||
\(62\) | 1.00819 | − | 2.43004i | 0.128041 | − | 0.308616i | ||||
\(63\) | − | 5.12431i | − | 0.645602i | ||||||
\(64\) | 5.63733 | + | 5.67632i | 0.704666 | + | 0.709539i | ||||
\(65\) | − | 9.61367i | − | 1.19243i | ||||||
\(66\) | −5.33068 | − | 2.21163i | −0.656161 | − | 0.272233i | ||||
\(67\) | −10.0924 | − | 8.28263i | −1.23299 | − | 1.01188i | −0.999216 | − | 0.0395927i | \(-0.987394\pi\) |
−0.233769 | − | 0.972292i | \(-0.575106\pi\) | |||||||
\(68\) | 5.70630 | + | 2.37131i | 0.691991 | + | 0.287564i | ||||
\(69\) | −1.08610 | − | 3.58040i | −0.130751 | − | 0.431030i | ||||
\(70\) | 13.4295 | + | 25.1595i | 1.60513 | + | 3.00713i | ||||
\(71\) | −1.13357 | + | 5.69887i | −0.134531 | + | 0.676331i | 0.853378 | + | 0.521293i | \(0.174550\pi\) |
−0.987908 | + | 0.155038i | \(0.950450\pi\) | |||||||
\(72\) | 0.556578 | − | 2.77312i | 0.0655933 | − | 0.326816i | ||||
\(73\) | −3.80329 | + | 0.756522i | −0.445142 | + | 0.0885442i | −0.412571 | − | 0.910925i | \(-0.635369\pi\) |
−0.0325702 | + | 0.999469i | \(0.510369\pi\) | |||||||
\(74\) | −2.99373 | − | 0.296593i | −0.348014 | − | 0.0344783i | ||||
\(75\) | 1.02794 | − | 10.4368i | 0.118696 | − | 1.20514i | ||||
\(76\) | −1.20109 | + | 3.94316i | −0.137775 | + | 0.452312i | ||||
\(77\) | 20.0113 | + | 6.07037i | 2.28050 | + | 0.691783i | ||||
\(78\) | 1.92100 | − | 2.87141i | 0.217511 | − | 0.325123i | ||||
\(79\) | −1.75819 | − | 0.728267i | −0.197812 | − | 0.0819364i | 0.281578 | − | 0.959538i | \(-0.409142\pi\) |
−0.479390 | + | 0.877602i | \(0.659142\pi\) | |||||||
\(80\) | 4.53492 | + | 15.0742i | 0.507019 | + | 1.68535i | ||||
\(81\) | −0.923880 | + | 0.382683i | −0.102653 | + | 0.0425204i | ||||
\(82\) | −0.154992 | + | 0.776863i | −0.0171160 | + | 0.0857902i | ||||
\(83\) | −1.95865 | − | 3.66437i | −0.214989 | − | 0.402217i | 0.751191 | − | 0.660085i | \(-0.229480\pi\) |
−0.966180 | + | 0.257869i | \(0.916980\pi\) | |||||||
\(84\) | −1.01626 | + | 10.1981i | −0.110883 | + | 1.11270i | ||||
\(85\) | 7.71371 | + | 9.39919i | 0.836670 | + | 1.01948i | ||||
\(86\) | 4.28324 | − | 8.00232i | 0.461874 | − | 0.862913i | ||||
\(87\) | 6.39778 | + | 4.27486i | 0.685914 | + | 0.458313i | ||||
\(88\) | 10.1702 | + | 5.45864i | 1.08415 | + | 0.581893i | ||||
\(89\) | −7.24931 | − | 10.8494i | −0.768426 | − | 1.15003i | −0.984795 | − | 0.173719i | \(-0.944422\pi\) |
0.216370 | − | 0.976312i | \(-0.430578\pi\) | |||||||
\(90\) | 3.53318 | − | 4.30015i | 0.372430 | − | 0.453276i | ||||
\(91\) | −5.90096 | + | 11.0399i | −0.618589 | + | 1.15730i | ||||
\(92\) | 1.45143 | + | 7.34091i | 0.151322 | + | 0.765343i | ||||
\(93\) | 1.85136 | − | 0.182343i | 0.191977 | − | 0.0189081i | ||||
\(94\) | −8.99062 | − | 9.00096i | −0.927312 | − | 0.928378i | ||||
\(95\) | −5.73528 | + | 5.73528i | −0.588428 | + | 0.588428i | ||||
\(96\) | −1.65764 | + | 5.40853i | −0.169182 | + | 0.552006i | ||||
\(97\) | −7.28783 | − | 7.28783i | −0.739967 | − | 0.739967i | 0.232604 | − | 0.972571i | \(-0.425275\pi\) |
−0.972571 | + | 0.232604i | \(0.925275\pi\) | |||||||
\(98\) | 0.0156433 | − | 27.2357i | 0.00158022 | − | 2.75122i | ||||
\(99\) | −0.399998 | − | 4.06125i | −0.0402013 | − | 0.408171i | ||||
\(100\) | −4.11558 | + | 20.5669i | −0.411558 | + | 2.05669i | ||||
\(101\) | −4.56924 | − | 2.44231i | −0.454656 | − | 0.243019i | 0.228139 | − | 0.973629i | \(-0.426736\pi\) |
−0.682795 | + | 0.730610i | \(0.739236\pi\) | |||||||
\(102\) | 0.425788 | + | 4.34870i | 0.0421593 | + | 0.430586i | ||||
\(103\) | −13.5286 | + | 9.03953i | −1.33301 | + | 0.890691i | −0.998660 | − | 0.0517568i | \(-0.983518\pi\) |
−0.334354 | + | 0.942448i | \(0.608518\pi\) | |||||||
\(104\) | −4.39253 | + | 5.33355i | −0.430723 | + | 0.522997i | ||||
\(105\) | −11.2037 | + | 16.7676i | −1.09337 | + | 1.63635i | ||||
\(106\) | 5.05699 | − | 1.53085i | 0.491178 | − | 0.148689i | ||||
\(107\) | 13.4083 | − | 11.0039i | 1.29623 | − | 1.06379i | 0.302367 | − | 0.953192i | \(-0.402223\pi\) |
0.993865 | − | 0.110599i | \(-0.0352768\pi\) | |||||||
\(108\) | 1.91455 | − | 0.578370i | 0.184227 | − | 0.0556537i | ||||
\(109\) | −8.10861 | + | 4.33414i | −0.776664 | + | 0.415135i | −0.811570 | − | 0.584255i | \(-0.801387\pi\) |
0.0349063 | + | 0.999391i | \(0.488887\pi\) | |||||||
\(110\) | 12.6074 | + | 18.8917i | 1.20207 | + | 1.80126i | ||||
\(111\) | −0.814064 | − | 1.96533i | −0.0772676 | − | 0.186540i | ||||
\(112\) | 4.04499 | − | 20.0941i | 0.382216 | − | 1.89872i | ||||
\(113\) | −6.77999 | + | 16.3684i | −0.637808 | + | 1.53980i | 0.191785 | + | 0.981437i | \(0.438572\pi\) |
−0.829593 | + | 0.558368i | \(0.811428\pi\) | |||||||
\(114\) | −2.85904 | + | 0.566991i | −0.267774 | + | 0.0531036i | ||||
\(115\) | −4.27424 | + | 14.0903i | −0.398575 | + | 1.31393i | ||||
\(116\) | −11.8847 | − | 9.77639i | −1.10347 | − | 0.907715i | ||||
\(117\) | 2.43111 | + | 0.239443i | 0.224756 | + | 0.0221366i | ||||
\(118\) | 2.33925 | − | 1.91752i | 0.215345 | − | 0.176522i | ||||
\(119\) | −3.08878 | − | 15.5284i | −0.283148 | − | 1.42348i | ||||
\(120\) | −7.88434 | + | 7.85722i | −0.719739 | + | 0.717262i | ||||
\(121\) | 5.54509 | + | 1.10299i | 0.504099 | + | 0.100271i | ||||
\(122\) | −0.986355 | + | 3.24486i | −0.0893003 | + | 0.293776i | ||||
\(123\) | −0.536031 | + | 0.162603i | −0.0483323 | + | 0.0146614i | ||||
\(124\) | −3.72063 | − | 0.00427403i | −0.334123 | − | 0.000383819i | ||||
\(125\) | −13.6996 | + | 16.6930i | −1.22533 | + | 1.49307i | ||||
\(126\) | −6.69682 | + | 2.76941i | −0.596601 | + | 0.246719i | ||||
\(127\) | 5.01419 | 0.444938 | 0.222469 | − | 0.974940i | \(-0.428588\pi\) | ||||
0.222469 | + | 0.974940i | \(0.428588\pi\) | |||||||
\(128\) | 4.37156 | − | 10.4350i | 0.386395 | − | 0.922333i | ||||
\(129\) | 6.41807 | 0.565080 | ||||||||
\(130\) | −12.5639 | + | 5.19567i | −1.10192 | + | 0.455690i | ||||
\(131\) | −2.99998 | + | 3.65549i | −0.262109 | + | 0.319381i | −0.887391 | − | 0.461018i | \(-0.847484\pi\) |
0.625281 | + | 0.780399i | \(0.284984\pi\) | |||||||
\(132\) | −0.00937576 | + | 8.16179i | −0.000816055 | + | 0.710393i | ||||
\(133\) | 10.1065 | − | 3.06578i | 0.876347 | − | 0.265837i | ||||
\(134\) | −5.36995 | + | 17.6658i | −0.463893 | + | 1.52610i | ||||
\(135\) | 3.85978 | + | 0.767757i | 0.332197 | + | 0.0660780i | ||||
\(136\) | 0.0150582 | − | 8.73898i | 0.00129123 | − | 0.749362i | ||||
\(137\) | 2.18236 | + | 10.9715i | 0.186452 | + | 0.937356i | 0.954783 | + | 0.297303i | \(0.0960873\pi\) |
−0.768331 | + | 0.640052i | \(0.778913\pi\) | |||||||
\(138\) | −4.09215 | + | 3.35441i | −0.348347 | + | 0.285546i | ||||
\(139\) | −11.9285 | − | 1.17486i | −1.01176 | − | 0.0996499i | −0.421473 | − | 0.906841i | \(-0.638487\pi\) |
−0.590290 | + | 0.807191i | \(0.700987\pi\) | |||||||
\(140\) | 25.6224 | − | 31.1479i | 2.16549 | − | 2.63248i | ||||
\(141\) | 2.61134 | − | 8.60844i | 0.219915 | − | 0.724961i | ||||
\(142\) | 8.06033 | − | 1.59849i | 0.676408 | − | 0.134142i | ||||
\(143\) | −3.81502 | + | 9.21026i | −0.319028 | + | 0.770201i | ||||
\(144\) | −3.92492 | + | 0.771346i | −0.327077 | + | 0.0642788i | ||||
\(145\) | −11.5881 | − | 27.9761i | −0.962336 | − | 2.32329i | ||||
\(146\) | 3.04415 | + | 4.56156i | 0.251936 | + | 0.377518i | ||||
\(147\) | 16.9845 | − | 9.07842i | 1.40086 | − | 0.748775i | ||||
\(148\) | 1.23034 | + | 4.07272i | 0.101133 | + | 0.334776i | ||||
\(149\) | −2.61530 | + | 2.14632i | −0.214253 | + | 0.175833i | −0.735399 | − | 0.677635i | \(-0.763005\pi\) |
0.521145 | + | 0.853468i | \(0.325505\pi\) | |||||||
\(150\) | −14.1952 | + | 4.29716i | −1.15903 | + | 0.350861i | ||||
\(151\) | −3.88355 | + | 5.81215i | −0.316039 | + | 0.472986i | −0.955147 | − | 0.296131i | \(-0.904304\pi\) |
0.639108 | + | 0.769117i | \(0.279304\pi\) | |||||||
\(152\) | 5.80234 | − | 0.561388i | 0.470632 | − | 0.0455345i | ||||
\(153\) | −2.56899 | + | 1.71655i | −0.207691 | + | 0.138775i | ||||
\(154\) | −2.88183 | − | 29.4330i | −0.232224 | − | 2.37178i | ||||
\(155\) | −6.45662 | − | 3.45113i | −0.518608 | − | 0.277202i | ||||
\(156\) | −4.79077 | − | 0.958666i | −0.383569 | − | 0.0767547i | ||||
\(157\) | −1.71590 | − | 17.4219i | −0.136944 | − | 1.39042i | −0.780567 | − | 0.625072i | \(-0.785069\pi\) |
0.643623 | − | 0.765343i | \(-0.277431\pi\) | |||||||
\(158\) | −0.00154581 | + | 2.69132i | −0.000122978 | + | 0.214110i | ||||
\(159\) | 2.64181 | + | 2.64181i | 0.209509 | + | 0.209509i | ||||
\(160\) | 17.2492 | − | 14.0734i | 1.36367 | − | 1.11260i | ||||
\(161\) | 13.5571 | − | 13.5571i | 1.06845 | − | 1.06845i | ||||
\(162\) | 0.999425 | + | 1.00057i | 0.0785223 | + | 0.0786125i | ||||
\(163\) | 13.1535 | − | 1.29551i | 1.03026 | − | 0.101472i | 0.431266 | − | 0.902225i | \(-0.358067\pi\) |
0.598995 | + | 0.800753i | \(0.295567\pi\) | |||||||
\(164\) | 1.09903 | − | 0.217298i | 0.0858195 | − | 0.0169681i | ||||
\(165\) | −7.57060 | + | 14.1636i | −0.589371 | + | 1.10264i | ||||
\(166\) | −3.73033 | + | 4.54009i | −0.289529 | + | 0.352380i | ||||
\(167\) | 2.97873 | + | 4.45799i | 0.230501 | + | 0.344970i | 0.928633 | − | 0.371000i | \(-0.120985\pi\) |
−0.698132 | + | 0.715969i | \(0.745985\pi\) | |||||||
\(168\) | 13.8769 | − | 4.18340i | 1.07062 | − | 0.322757i | ||||
\(169\) | 5.84720 | + | 3.90698i | 0.449785 | + | 0.300537i | ||||
\(170\) | 8.11471 | − | 15.1606i | 0.622370 | − | 1.16276i | ||||
\(171\) | −1.30750 | − | 1.59319i | −0.0999867 | − | 0.121834i | ||||
\(172\) | −12.7729 | − | 1.27284i | −0.973923 | − | 0.0970528i | ||||
\(173\) | −5.29367 | − | 9.90376i | −0.402470 | − | 0.752969i | 0.596289 | − | 0.802770i | \(-0.296641\pi\) |
−0.998759 | + | 0.0498012i | \(0.984141\pi\) | |||||||
\(174\) | 2.12905 | − | 10.6714i | 0.161403 | − | 0.808998i | ||||
\(175\) | 49.6496 | − | 20.5655i | 3.75316 | − | 1.55461i | ||||
\(176\) | 1.63731 | − | 16.2413i | 0.123417 | − | 1.22423i | ||||
\(177\) | 1.97600 | + | 0.818485i | 0.148525 | + | 0.0615211i | ||||
\(178\) | −10.2609 | + | 15.3374i | −0.769086 | + | 1.14959i | ||||
\(179\) | −10.7040 | − | 3.24701i | −0.800051 | − | 0.242693i | −0.136321 | − | 0.990665i | \(-0.543528\pi\) |
−0.663730 | + | 0.747972i | \(0.731028\pi\) | |||||||
\(180\) | −7.52925 | − | 2.29342i | −0.561197 | − | 0.170941i | ||||
\(181\) | 1.42092 | − | 14.4268i | 0.105616 | − | 1.07234i | −0.785592 | − | 0.618745i | \(-0.787642\pi\) |
0.891208 | − | 0.453594i | \(-0.149858\pi\) | |||||||
\(182\) | 17.6169 | + | 1.74533i | 1.30585 | + | 0.129373i | ||||
\(183\) | −2.35205 | + | 0.467852i | −0.173868 | + | 0.0345846i | ||||
\(184\) | 8.80922 | − | 5.86420i | 0.649424 | − | 0.432315i | ||||
\(185\) | −1.63321 | + | 8.21072i | −0.120076 | + | 0.603664i | ||||
\(186\) | −1.23886 | − | 2.32095i | −0.0908375 | − | 0.170180i | ||||
\(187\) | −3.66013 | − | 12.0658i | −0.267655 | − | 0.882341i | ||||
\(188\) | −6.90417 | + | 16.6141i | −0.503538 | + | 1.21171i | ||||
\(189\) | −3.96114 | − | 3.25083i | −0.288131 | − | 0.236463i | ||||
\(190\) | 10.5949 | + | 4.39568i | 0.768635 | + | 0.318896i | ||||
\(191\) | 4.65126i | 0.336553i | 0.985740 | + | 0.168277i | \(0.0538202\pi\) | ||||
−0.985740 | + | 0.168277i | \(0.946180\pi\) | |||||||
\(192\) | 7.96413 | − | 0.756696i | 0.574762 | − | 0.0546098i | ||||
\(193\) | − | 19.6126i | − | 1.41174i | −0.708339 | − | 0.705872i | \(-0.750555\pi\) | ||
0.708339 | − | 0.705872i | \(-0.249445\pi\) | |||||||
\(194\) | −5.58560 | + | 13.4629i | −0.401022 | + | 0.966583i | ||||
\(195\) | −7.43147 | − | 6.09885i | −0.532179 | − | 0.436748i | ||||
\(196\) | −35.6021 | + | 14.6990i | −2.54300 | + | 1.04993i | ||||
\(197\) | 0.532057 | + | 1.75396i | 0.0379075 | + | 0.124964i | 0.973852 | − | 0.227183i | \(-0.0729516\pi\) |
−0.935945 | + | 0.352147i | \(0.885452\pi\) | |||||||
\(198\) | −5.09136 | + | 2.71763i | −0.361827 | + | 0.193134i | ||||
\(199\) | 0.875615 | − | 4.40202i | 0.0620707 | − | 0.312051i | −0.937260 | − | 0.348631i | \(-0.886647\pi\) |
0.999331 | + | 0.0365806i | \(0.0116466\pi\) | |||||||
\(200\) | 29.1026 | − | 5.73676i | 2.05787 | − | 0.405650i | ||||
\(201\) | −12.8051 | + | 2.54710i | −0.903204 | + | 0.179658i | ||||
\(202\) | −0.722364 | + | 7.29135i | −0.0508254 | + | 0.513018i | ||||
\(203\) | −3.86474 | + | 39.2394i | −0.271252 | + | 2.75406i | ||||
\(204\) | 5.45309 | − | 2.90669i | 0.381793 | − | 0.203509i | ||||
\(205\) | 2.10949 | + | 0.639908i | 0.147333 | + | 0.0446931i | ||||
\(206\) | 19.1250 | + | 12.7948i | 1.33250 | + | 0.891456i | ||||
\(207\) | −3.45670 | − | 1.43181i | −0.240258 | − | 0.0995179i | ||||
\(208\) | 9.34419 | + | 2.85799i | 0.647903 | + | 0.198166i | ||||
\(209\) | 7.77056 | − | 3.21867i | 0.537501 | − | 0.222640i | ||||
\(210\) | 27.9681 | + | 5.57990i | 1.92998 | + | 0.385050i | ||||
\(211\) | −4.90361 | − | 9.17400i | −0.337578 | − | 0.631564i | 0.654659 | − | 0.755924i | \(-0.272812\pi\) |
−0.992237 | + | 0.124360i | \(0.960312\pi\) | |||||||
\(212\) | −4.73366 | − | 5.78151i | −0.325109 | − | 0.397075i | ||||
\(213\) | 3.68615 | + | 4.49159i | 0.252571 | + | 0.307759i | ||||
\(214\) | −21.6272 | − | 11.5760i | −1.47841 | − | 0.791317i | ||||
\(215\) | −21.0010 | − | 14.0324i | −1.43225 | − | 0.957002i | ||||
\(216\) | −1.79057 | − | 2.18949i | −0.121833 | − | 0.148976i | ||||
\(217\) | 5.29616 | + | 7.92627i | 0.359527 | + | 0.538070i | ||||
\(218\) | 10.0464 | + | 8.25456i | 0.680430 | + | 0.559069i | ||||
\(219\) | −1.82798 | + | 3.41992i | −0.123524 | + | 0.231097i | ||||
\(220\) | 17.8755 | − | 26.6862i | 1.20517 | − | 1.79918i | ||||
\(221\) | 7.51141 | − | 0.739809i | 0.505272 | − | 0.0497649i | ||||
\(222\) | −2.12847 | + | 2.12603i | −0.142854 | + | 0.142690i | ||||
\(223\) | −6.46512 | + | 6.46512i | −0.432937 | + | 0.432937i | −0.889626 | − | 0.456689i | \(-0.849035\pi\) |
0.456689 | + | 0.889626i | \(0.349035\pi\) | |||||||
\(224\) | −28.4466 | + | 5.57350i | −1.90067 | + | 0.372395i | ||||
\(225\) | −7.41567 | − | 7.41567i | −0.494378 | − | 0.494378i | ||||
\(226\) | 25.0556 | + | 0.0143911i | 1.66667 | + | 0.000957285i | ||||
\(227\) | 0.656937 | + | 6.67000i | 0.0436025 | + | 0.442703i | 0.992057 | + | 0.125790i | \(0.0401465\pi\) |
−0.948454 | + | 0.316913i | \(0.897354\pi\) | |||||||
\(228\) | 2.28614 | + | 3.42997i | 0.151403 | + | 0.227156i | ||||
\(229\) | −9.38622 | − | 5.01704i | −0.620259 | − | 0.331535i | 0.131160 | − | 0.991361i | \(-0.458130\pi\) |
−0.751418 | + | 0.659826i | \(0.770630\pi\) | |||||||
\(230\) | 20.7242 | − | 2.02914i | 1.36652 | − | 0.133798i | ||||
\(231\) | 17.3875 | − | 11.6180i | 1.14401 | − | 0.764406i | ||||
\(232\) | −6.35347 | + | 20.8154i | −0.417126 | + | 1.36660i | ||||
\(233\) | −2.06306 | + | 3.08758i | −0.135155 | + | 0.202274i | −0.892873 | − | 0.450308i | \(-0.851314\pi\) |
0.757718 | + | 0.652582i | \(0.226314\pi\) | |||||||
\(234\) | −1.00096 | − | 3.30656i | −0.0654348 | − | 0.216157i | ||||
\(235\) | −27.3661 | + | 22.4588i | −1.78517 | + | 1.46505i | ||||
\(236\) | −3.77019 | − | 2.02078i | −0.245419 | − | 0.131542i | ||||
\(237\) | −1.67834 | + | 0.897093i | −0.109020 | + | 0.0582725i | ||||
\(238\) | −18.6243 | + | 12.4289i | −1.20723 | + | 0.805645i | ||||
\(239\) | −11.4520 | − | 27.6475i | −0.740767 | − | 1.78837i | −0.602734 | − | 0.797942i | \(-0.705922\pi\) |
−0.138033 | − | 0.990428i | \(-0.544078\pi\) | |||||||
\(240\) | 14.5294 | + | 6.05744i | 0.937872 | + | 0.391006i | ||||
\(241\) | −2.19510 | + | 5.29944i | −0.141399 | + | 0.341367i | −0.978675 | − | 0.205412i | \(-0.934146\pi\) |
0.837277 | + | 0.546780i | \(0.184146\pi\) | |||||||
\(242\) | −1.55535 | − | 7.84283i | −0.0999819 | − | 0.504156i | ||||
\(243\) | −0.290285 | + | 0.956940i | −0.0186218 | + | 0.0613878i | ||||
\(244\) | 4.77370 | − | 0.464632i | 0.305605 | − | 0.0297450i | ||||
\(245\) | −75.4251 | − | 7.42872i | −4.81873 | − | 0.474603i | ||||
\(246\) | 0.502198 | + | 0.612647i | 0.0320189 | + | 0.0390609i | ||||
\(247\) | 0.982242 | + | 4.93806i | 0.0624985 | + | 0.314201i | ||||
\(248\) | 2.00521 | + | 4.86471i | 0.127331 | + | 0.308909i | ||||
\(249\) | −4.07515 | − | 0.810597i | −0.258252 | − | 0.0513695i | ||||
\(250\) | 29.2196 | + | 8.88199i | 1.84801 | + | 0.561746i | ||||
\(251\) | 1.67257 | − | 0.507367i | 0.105571 | − | 0.0320247i | −0.237057 | − | 0.971496i | \(-0.576183\pi\) |
0.342628 | + | 0.939471i | \(0.388683\pi\) | |||||||
\(252\) | 7.23854 | + | 7.25519i | 0.455985 | + | 0.457034i | ||||
\(253\) | 9.68637 | − | 11.8029i | 0.608977 | − | 0.742041i | ||||
\(254\) | −2.70990 | − | 6.55291i | −0.170034 | − | 0.411166i | ||||
\(255\) | 12.1592 | 0.761439 | ||||||||
\(256\) | −15.9998 | − | 0.0735189i | −0.999989 | − | 0.00459493i | ||||
\(257\) | 12.8263 | 0.800080 | 0.400040 | − | 0.916498i | \(-0.368996\pi\) | ||||
0.400040 | + | 0.916498i | \(0.368996\pi\) | |||||||
\(258\) | −3.46862 | − | 8.38761i | −0.215947 | − | 0.522190i | ||||
\(259\) | 6.91533 | − | 8.42636i | 0.429698 | − | 0.523588i | ||||
\(260\) | 13.5802 | + | 13.6114i | 0.842206 | + | 0.844143i | ||||
\(261\) | 7.36322 | − | 2.23361i | 0.455772 | − | 0.138257i | ||||
\(262\) | 6.39858 | + | 1.94500i | 0.395306 | + | 0.120163i | ||||
\(263\) | 22.5322 | + | 4.48193i | 1.38939 | + | 0.276368i | 0.832412 | − | 0.554157i | \(-0.186959\pi\) |
0.556982 | + | 0.830524i | \(0.311959\pi\) | |||||||
\(264\) | 10.6715 | − | 4.39875i | 0.656785 | − | 0.270724i | ||||
\(265\) | −2.86841 | − | 14.4205i | −0.176205 | − | 0.885842i | ||||
\(266\) | −9.46861 | − | 11.5511i | −0.580558 | − | 0.708241i | ||||
\(267\) | −12.9856 | − | 1.27897i | −0.794705 | − | 0.0782716i | ||||
\(268\) | 25.9892 | − | 2.52957i | 1.58754 | − | 0.154518i | ||||
\(269\) | 0.972712 | − | 3.20660i | 0.0593073 | − | 0.195510i | −0.922281 | − | 0.386521i | \(-0.873677\pi\) |
0.981588 | + | 0.191011i | \(0.0611767\pi\) | |||||||
\(270\) | −1.08264 | − | 5.45917i | −0.0658872 | − | 0.332235i | ||||
\(271\) | 2.21994 | − | 5.35941i | 0.134852 | − | 0.325561i | −0.842000 | − | 0.539477i | \(-0.818622\pi\) |
0.976852 | + | 0.213916i | \(0.0686219\pi\) | |||||||
\(272\) | −11.4289 | + | 4.70327i | −0.692978 | + | 0.285177i | ||||
\(273\) | 4.79045 | + | 11.5652i | 0.289931 | + | 0.699955i | ||||
\(274\) | 13.1589 | − | 8.78155i | 0.794957 | − | 0.530513i | ||||
\(275\) | 37.7442 | − | 20.1747i | 2.27606 | − | 1.21658i | ||||
\(276\) | 6.59538 | + | 3.53505i | 0.396995 | + | 0.212785i | ||||
\(277\) | −2.74370 | + | 2.25170i | −0.164853 | + | 0.135292i | −0.713203 | − | 0.700958i | \(-0.752756\pi\) |
0.548350 | + | 0.836249i | \(0.315256\pi\) | |||||||
\(278\) | 4.91132 | + | 16.2240i | 0.294562 | + | 0.973051i | ||||
\(279\) | 1.03354 | − | 1.54680i | 0.0618762 | − | 0.0926043i | ||||
\(280\) | −54.5539 | − | 16.6515i | −3.26022 | − | 0.995115i | ||||
\(281\) | 10.5721 | − | 7.06408i | 0.630681 | − | 0.421408i | −0.198724 | − | 0.980056i | \(-0.563680\pi\) |
0.829405 | + | 0.558648i | \(0.188680\pi\) | |||||||
\(282\) | −12.6614 | + | 1.23970i | −0.753977 | + | 0.0738230i | ||||
\(283\) | −5.26463 | − | 2.81401i | −0.312950 | − | 0.167275i | 0.307443 | − | 0.951567i | \(-0.400527\pi\) |
−0.620393 | + | 0.784291i | \(0.713027\pi\) | |||||||
\(284\) | −6.44519 | − | 9.66994i | −0.382452 | − | 0.573805i | ||||
\(285\) | 0.795009 | + | 8.07186i | 0.0470923 | + | 0.478136i | ||||
\(286\) | 14.0985 | + | 0.00809771i | 0.833659 | + | 0.000478828i | ||||
\(287\) | −2.02967 | − | 2.02967i | −0.119808 | − | 0.119808i | ||||
\(288\) | 3.12926 | + | 4.71251i | 0.184393 | + | 0.277687i | ||||
\(289\) | 5.27059 | − | 5.27059i | 0.310035 | − | 0.310035i | ||||
\(290\) | −30.2985 | + | 30.2637i | −1.77919 | + | 1.77714i | ||||
\(291\) | −10.2569 | + | 1.01022i | −0.601271 | + | 0.0592200i | ||||
\(292\) | 4.31619 | − | 6.44359i | 0.252586 | − | 0.377083i | ||||
\(293\) | −10.0949 | + | 18.8863i | −0.589753 | + | 1.10335i | 0.393193 | + | 0.919456i | \(0.371370\pi\) |
−0.982946 | + | 0.183894i | \(0.941130\pi\) | |||||||
\(294\) | −21.0436 | − | 17.2902i | −1.22729 | − | 1.00839i | ||||
\(295\) | −4.67626 | − | 6.99851i | −0.272262 | − | 0.407469i | ||||
\(296\) | 4.65760 | − | 3.80898i | 0.270718 | − | 0.221393i | ||||
\(297\) | −3.39314 | − | 2.26722i | −0.196890 | − | 0.131558i | ||||
\(298\) | 4.21839 | + | 2.25789i | 0.244365 | + | 0.130796i | ||||
\(299\) | 5.79838 | + | 7.06534i | 0.335329 | + | 0.408599i | ||||
\(300\) | 13.2876 | + | 16.2289i | 0.767157 | + | 0.936977i | ||||
\(301\) | 15.5034 | + | 29.0048i | 0.893600 | + | 1.67181i | ||||
\(302\) | 9.69459 | + | 1.93416i | 0.557861 | + | 0.111299i | ||||
\(303\) | −4.78662 | + | 1.98268i | −0.274984 | + | 0.113902i | ||||
\(304\) | −3.86951 | − | 7.27953i | −0.221932 | − | 0.417510i | ||||
\(305\) | 8.71919 | + | 3.61161i | 0.499259 | + | 0.206800i | ||||
\(306\) | 3.63171 | + | 2.42965i | 0.207611 | + | 0.138894i | ||||
\(307\) | −7.40177 | − | 2.24530i | −0.422441 | − | 0.128146i | 0.0719044 | − | 0.997412i | \(-0.477092\pi\) |
−0.494346 | + | 0.869265i | \(0.664592\pi\) | |||||||
\(308\) | −36.9077 | + | 19.6731i | −2.10301 | + | 1.12098i | ||||
\(309\) | −1.59481 | + | 16.1924i | −0.0907255 | + | 0.921152i | ||||
\(310\) | −1.02075 | + | 10.3031i | −0.0579745 | + | 0.585179i | ||||
\(311\) | −15.0497 | + | 2.99357i | −0.853390 | + | 0.169750i | −0.602355 | − | 0.798228i | \(-0.705771\pi\) |
−0.251035 | + | 0.967978i | \(0.580771\pi\) | |||||||
\(312\) | 1.33630 | + | 6.77904i | 0.0756528 | + | 0.383787i | ||||
\(313\) | −4.33204 | + | 21.7787i | −0.244862 | + | 1.23100i | 0.641178 | + | 0.767392i | \(0.278446\pi\) |
−0.886039 | + | 0.463610i | \(0.846554\pi\) | |||||||
\(314\) | −21.8408 | + | 11.6580i | −1.23255 | + | 0.657901i | ||||
\(315\) | 5.85393 | + | 19.2978i | 0.329832 | + | 1.08731i | ||||
\(316\) | 3.51806 | − | 1.45249i | 0.197906 | − | 0.0817092i | ||||
\(317\) | −2.40787 | − | 1.97609i | −0.135240 | − | 0.110988i | 0.564342 | − | 0.825541i | \(-0.309130\pi\) |
−0.699581 | + | 0.714553i | \(0.746630\pi\) | |||||||
\(318\) | 2.02476 | − | 4.88027i | 0.113543 | − | 0.273672i | ||||
\(319\) | 31.4006i | 1.75810i | ||||||||
\(320\) | −27.7144 | − | 14.9367i | −1.54928 | − | 0.834985i | ||||
\(321\) | − | 17.3456i | − | 0.968137i | ||||||
\(322\) | −25.0443 | − | 10.3906i | −1.39567 | − | 0.579043i | ||||
\(323\) | −4.92248 | − | 4.03977i | −0.273894 | − | 0.224779i | ||||
\(324\) | 0.767489 | − | 1.84688i | 0.0426383 | − | 0.102604i | ||||
\(325\) | 7.43687 | + | 24.5161i | 0.412523 | + | 1.35991i | ||||
\(326\) | −8.80181 | − | 16.4898i | −0.487487 | − | 0.913286i | ||||
\(327\) | −1.79371 | + | 9.01759i | −0.0991924 | + | 0.498674i | ||||
\(328\) | −0.877944 | − | 1.31885i | −0.0484764 | − | 0.0728213i | ||||
\(329\) | 45.2115 | − | 8.99312i | 2.49259 | − | 0.495807i | ||||
\(330\) | 22.6015 | + | 2.23917i | 1.24417 | + | 0.123262i | ||||
\(331\) | 0.623059 | − | 6.32602i | 0.0342464 | − | 0.347710i | −0.962758 | − | 0.270365i | \(-0.912856\pi\) |
0.997004 | − | 0.0773450i | \(-0.0246443\pi\) | |||||||
\(332\) | 7.94937 | + | 2.42139i | 0.436278 | + | 0.132891i | ||||
\(333\) | −2.03565 | − | 0.617509i | −0.111553 | − | 0.0338393i | ||||
\(334\) | 4.21619 | − | 6.30213i | 0.230699 | − | 0.344837i | ||||
\(335\) | 47.4694 | + | 19.6625i | 2.59353 | + | 1.07428i | ||||
\(336\) | −12.9669 | − | 15.8744i | −0.707401 | − | 0.866020i | ||||
\(337\) | −4.08828 | + | 1.69342i | −0.222703 | + | 0.0922464i | −0.491245 | − | 0.871021i | \(-0.663458\pi\) |
0.268542 | + | 0.963268i | \(0.413458\pi\) | |||||||
\(338\) | 1.94583 | − | 9.75306i | 0.105839 | − | 0.530497i | ||||
\(339\) | 8.35172 | + | 15.6250i | 0.453603 | + | 0.848632i | ||||
\(340\) | −24.1985 | − | 2.41142i | −1.31235 | − | 0.130778i | ||||
\(341\) | 4.81616 | + | 5.86851i | 0.260810 | + | 0.317798i | ||||
\(342\) | −1.37546 | + | 2.56976i | −0.0743766 | + | 0.138957i | ||||
\(343\) | 52.2301 | + | 34.8990i | 2.82016 | + | 1.88437i | ||||
\(344\) | 5.23961 | + | 17.3804i | 0.282501 | + | 0.937090i | ||||
\(345\) | 8.18039 | + | 12.2428i | 0.440418 | + | 0.659132i | ||||
\(346\) | −10.0820 | + | 12.2706i | −0.542013 | + | 0.659671i | ||||
\(347\) | 14.4060 | − | 26.9517i | 0.773353 | − | 1.44684i | −0.117751 | − | 0.993043i | \(-0.537568\pi\) |
0.891104 | − | 0.453799i | \(-0.149932\pi\) | |||||||
\(348\) | −15.0968 | + | 2.98492i | −0.809275 | + | 0.160009i | ||||
\(349\) | 6.72585 | − | 0.662439i | 0.360027 | − | 0.0354595i | 0.0836131 | − | 0.996498i | \(-0.473354\pi\) |
0.276414 | + | 0.961039i | \(0.410854\pi\) | |||||||
\(350\) | −53.7095 | − | 53.7712i | −2.87089 | − | 2.87419i | ||||
\(351\) | 1.72737 | − | 1.72737i | 0.0922003 | − | 0.0922003i | ||||
\(352\) | −22.1102 | + | 6.63776i | −1.17848 | + | 0.353794i | ||||
\(353\) | −3.16205 | − | 3.16205i | −0.168299 | − | 0.168299i | 0.617932 | − | 0.786231i | \(-0.287971\pi\) |
−0.786231 | + | 0.617932i | \(0.787971\pi\) | |||||||
\(354\) | 0.00173731 | − | 3.02472i | 9.23369e−5 | − | 0.160762i | ||||
\(355\) | −2.24133 | − | 22.7566i | −0.118957 | − | 1.20779i | ||||
\(356\) | 25.5895 | + | 5.12064i | 1.35624 | + | 0.271393i | ||||
\(357\) | −13.9631 | − | 7.46343i | −0.739005 | − | 0.395007i | ||||
\(358\) | 1.54147 | + | 15.7435i | 0.0814694 | + | 0.832072i | ||||
\(359\) | −12.2920 | + | 8.21322i | −0.648744 | + | 0.433477i | −0.835921 | − | 0.548849i | \(-0.815066\pi\) |
0.187177 | + | 0.982326i | \(0.440066\pi\) | |||||||
\(360\) | 1.07194 | + | 11.0792i | 0.0564961 | + | 0.583927i | ||||
\(361\) | −8.19589 | + | 12.2660i | −0.431363 | + | 0.645580i | ||||
\(362\) | −19.6220 | + | 5.93996i | −1.03131 | + | 0.312197i | ||||
\(363\) | 4.37039 | − | 3.58668i | 0.229386 | − | 0.188252i | ||||
\(364\) | −7.24006 | − | 23.9664i | −0.379482 | − | 1.25618i | ||||
\(365\) | 13.4587 | − | 7.19384i | 0.704462 | − | 0.376543i | ||||
\(366\) | 1.88258 | + | 2.82098i | 0.0984039 | + | 0.147455i | ||||
\(367\) | −4.38689 | − | 10.5909i | −0.228994 | − | 0.552839i | 0.767062 | − | 0.641573i | \(-0.221718\pi\) |
−0.996055 | + | 0.0887339i | \(0.971718\pi\) | |||||||
\(368\) | −12.4247 | − | 8.34325i | −0.647681 | − | 0.434922i | ||||
\(369\) | −0.214361 | + | 0.517512i | −0.0111592 | + | 0.0269406i | ||||
\(370\) | 11.6130 | − | 2.30304i | 0.603733 | − | 0.119730i | ||||
\(371\) | −5.55746 | + | 18.3205i | −0.288529 | + | 0.951152i | ||||
\(372\) | −2.36365 | + | 2.87338i | −0.122549 | + | 0.148978i | ||||
\(373\) | −25.0702 | − | 2.46920i | −1.29809 | − | 0.127850i | −0.574740 | − | 0.818336i | \(-0.694897\pi\) |
−0.723346 | + | 0.690486i | \(0.757397\pi\) | |||||||
\(374\) | −13.7904 | + | 11.3042i | −0.713085 | + | 0.584529i | ||||
\(375\) | 4.21294 | + | 21.1799i | 0.217555 | + | 1.09372i | ||||
\(376\) | 25.4439 | + | 0.0438426i | 1.31217 | + | 0.00226101i | ||||
\(377\) | −18.4356 | − | 3.66707i | −0.949483 | − | 0.188864i | ||||
\(378\) | −2.10764 | + | 6.93361i | −0.108405 | + | 0.356626i | ||||
\(379\) | 34.0005 | − | 10.3139i | 1.74649 | − | 0.529791i | 0.754518 | − | 0.656279i | \(-0.227871\pi\) |
0.991968 | + | 0.126489i | \(0.0403707\pi\) | |||||||
\(380\) | 0.0186346 | − | 16.2218i | 0.000955936 | − | 0.832162i | ||||
\(381\) | 3.18097 | − | 3.87602i | 0.162966 | − | 0.198575i | ||||
\(382\) | 6.07861 | − | 2.51375i | 0.311009 | − | 0.128615i | ||||
\(383\) | 13.7405 | 0.702107 | 0.351054 | − | 0.936355i | \(-0.385823\pi\) | ||||
0.351054 | + | 0.936355i | \(0.385823\pi\) | |||||||
\(384\) | −5.29309 | − | 9.99916i | −0.270112 | − | 0.510268i | ||||
\(385\) | −82.2961 | −4.19420 | ||||||||
\(386\) | −25.6312 | + | 10.5995i | −1.30459 | + | 0.539502i | ||||
\(387\) | 4.07158 | − | 4.96124i | 0.206970 | − | 0.252194i | ||||
\(388\) | 20.6131 | + | 0.0236790i | 1.04647 | + | 0.00120212i | ||||
\(389\) | 9.32881 | − | 2.82986i | 0.472990 | − | 0.143480i | −0.0447855 | − | 0.998997i | \(-0.514260\pi\) |
0.517775 | + | 0.855517i | \(0.326760\pi\) | |||||||
\(390\) | −3.95412 | + | 13.0081i | −0.200225 | + | 0.658690i | ||||
\(391\) | −11.3380 | − | 2.25527i | −0.573389 | − | 0.114054i | ||||
\(392\) | 38.4507 | + | 38.5834i | 1.94205 | + | 1.94876i | ||||
\(393\) | 0.922562 | + | 4.63803i | 0.0465371 | + | 0.233958i | ||||
\(394\) | 2.00465 | − | 1.64325i | 0.100993 | − | 0.0827856i | ||||
\(395\) | 7.45320 | + | 0.734077i | 0.375011 | + | 0.0369354i | ||||
\(396\) | 6.30320 | + | 5.18503i | 0.316748 | + | 0.260558i | ||||
\(397\) | 1.92717 | − | 6.35302i | 0.0967217 | − | 0.318849i | −0.895206 | − | 0.445652i | \(-0.852972\pi\) |
0.991928 | + | 0.126803i | \(0.0404718\pi\) | |||||||
\(398\) | −6.22610 | + | 1.23473i | −0.312086 | + | 0.0618915i | ||||
\(399\) | 4.04163 | − | 9.75736i | 0.202335 | − | 0.488479i | ||||
\(400\) | −23.2256 | − | 34.9331i | −1.16128 | − | 1.74665i | ||||
\(401\) | −8.09466 | − | 19.5422i | −0.404228 | − | 0.975893i | −0.986628 | − | 0.162991i | \(-0.947886\pi\) |
0.582399 | − | 0.812903i | \(-0.302114\pi\) | |||||||
\(402\) | 10.2492 | + | 15.3581i | 0.511184 | + | 0.765993i | ||||
\(403\) | −4.00791 | + | 2.14227i | −0.199648 | + | 0.106714i | ||||
\(404\) | 9.91927 | − | 2.99654i | 0.493502 | − | 0.149083i | ||||
\(405\) | 3.04210 | − | 2.49659i | 0.151163 | − | 0.124056i | ||||
\(406\) | 53.3696 | − | 16.1560i | 2.64869 | − | 0.801809i | ||||
\(407\) | 4.82296 | − | 7.21807i | 0.239065 | − | 0.357786i | ||||
\(408\) | −6.74577 | − | 5.55559i | −0.333966 | − | 0.275043i | ||||
\(409\) | 5.13865 | − | 3.43354i | 0.254090 | − | 0.169777i | −0.422002 | − | 0.906595i | \(-0.638672\pi\) |
0.676092 | + | 0.736818i | \(0.263672\pi\) | |||||||
\(410\) | −0.303788 | − | 3.10268i | −0.0150030 | − | 0.153230i | ||||
\(411\) | 9.86553 | + | 5.27324i | 0.486631 | + | 0.260110i | ||||
\(412\) | 6.38518 | − | 31.9088i | 0.314575 | − | 1.57204i | ||||
\(413\) | 1.07426 | + | 10.9071i | 0.0528607 | + | 0.536704i | ||||
\(414\) | −0.00303915 | + | 5.29129i | −0.000149366 | + | 0.260053i | ||||
\(415\) | 11.5623 | + | 11.5623i | 0.567569 | + | 0.567569i | ||||
\(416\) | −1.31500 | − | 13.7563i | −0.0644730 | − | 0.674457i | ||||
\(417\) | −8.47554 | + | 8.47554i | −0.415049 | + | 0.415049i | ||||
\(418\) | −8.40597 | − | 8.41563i | −0.411149 | − | 0.411622i | ||||
\(419\) | 15.3634 | − | 1.51316i | 0.750549 | − | 0.0739226i | 0.284493 | − | 0.958678i | \(-0.408175\pi\) |
0.466056 | + | 0.884755i | \(0.345675\pi\) | |||||||
\(420\) | −7.82301 | − | 39.5664i | −0.381724 | − | 1.93064i | ||||
\(421\) | 12.2531 | − | 22.9239i | 0.597179 | − | 1.11724i | −0.383852 | − | 0.923395i | \(-0.625403\pi\) |
0.981031 | − | 0.193849i | \(-0.0620973\pi\) | |||||||
\(422\) | −9.33913 | + | 11.3664i | −0.454622 | + | 0.553310i | ||||
\(423\) | −4.99779 | − | 7.47973i | −0.243001 | − | 0.363677i | ||||
\(424\) | −4.99741 | + | 9.31088i | −0.242696 | + | 0.452176i | ||||
\(425\) | −26.9419 | − | 18.0020i | −1.30687 | − | 0.873225i | ||||
\(426\) | 3.87777 | − | 7.24479i | 0.187879 | − | 0.351011i | ||||
\(427\) | −7.79590 | − | 9.49934i | −0.377270 | − | 0.459705i | ||||
\(428\) | −3.43999 | + | 34.5202i | −0.166278 | + | 1.66860i | ||||
\(429\) | 4.69941 | + | 8.79197i | 0.226890 | + | 0.424481i | ||||
\(430\) | −6.98869 | + | 35.0294i | −0.337025 | + | 1.68927i | ||||
\(431\) | −32.2738 | + | 13.3683i | −1.55458 | + | 0.643926i | −0.984136 | − | 0.177413i | \(-0.943227\pi\) |
−0.570440 | + | 0.821340i | \(0.693227\pi\) | |||||||
\(432\) | −1.89369 | + | 3.52334i | −0.0911100 | + | 0.169517i | ||||
\(433\) | 23.4669 | + | 9.72033i | 1.12775 | + | 0.467129i | 0.867015 | − | 0.498282i | \(-0.166035\pi\) |
0.260734 | + | 0.965411i | \(0.416035\pi\) | |||||||
\(434\) | 7.49634 | − | 11.2051i | 0.359836 | − | 0.537864i | ||||
\(435\) | −28.9772 | − | 8.79013i | −1.38935 | − | 0.421454i | ||||
\(436\) | 5.35811 | − | 17.5906i | 0.256607 | − | 0.842435i | ||||
\(437\) | 0.755841 | − | 7.67418i | 0.0361568 | − | 0.367106i | ||||
\(438\) | 5.45732 | + | 0.540665i | 0.260761 | + | 0.0258339i | ||||
\(439\) | −30.4892 | + | 6.06467i | −1.45517 | + | 0.289451i | −0.858408 | − | 0.512968i | \(-0.828546\pi\) |
−0.596761 | + | 0.802419i | \(0.703546\pi\) | |||||||
\(440\) | −44.5362 | − | 8.93861i | −2.12318 | − | 0.426132i | ||||
\(441\) | 3.75716 | − | 18.8885i | 0.178912 | − | 0.899452i | ||||
\(442\) | −5.02634 | − | 9.41663i | −0.239079 | − | 0.447903i | ||||
\(443\) | 7.86970 | + | 25.9429i | 0.373901 | + | 1.23259i | 0.919015 | + | 0.394223i | \(0.128986\pi\) |
−0.545114 | + | 0.838362i | \(0.683514\pi\) | |||||||
\(444\) | 3.92878 | + | 1.63264i | 0.186452 | + | 0.0774818i | ||||
\(445\) | 39.6946 | + | 32.5765i | 1.88171 | + | 1.54428i | ||||
\(446\) | 11.9431 | + | 4.95505i | 0.565524 | + | 0.234629i | ||||
\(447\) | 3.38326i | 0.160023i | ||||||||
\(448\) | 22.6577 | + | 34.1639i | 1.07048 | + | 1.61409i | ||||
\(449\) | 30.7136i | 1.44947i | 0.689030 | + | 0.724733i | \(0.258037\pi\) | ||||
−0.689030 | + | 0.724733i | \(0.741963\pi\) | |||||||
\(450\) | −5.68357 | + | 13.6991i | −0.267926 | + | 0.645782i | ||||
\(451\) | −1.76704 | − | 1.45017i | −0.0832066 | − | 0.0682859i | ||||
\(452\) | −13.5224 | − | 32.7523i | −0.636039 | − | 1.54054i | ||||
\(453\) | 2.02915 | + | 6.68921i | 0.0953378 | + | 0.314287i | ||||
\(454\) | 8.36181 | − | 4.46330i | 0.392439 | − | 0.209473i | ||||
\(455\) | 9.61082 | − | 48.3168i | 0.450562 | − | 2.26513i | ||||
\(456\) | 3.24701 | − | 4.84141i | 0.152055 | − | 0.226720i | ||||
\(457\) | −34.9753 | + | 6.95701i | −1.63607 | + | 0.325435i | −0.925662 | − | 0.378351i | \(-0.876491\pi\) |
−0.710412 | + | 0.703786i | \(0.751491\pi\) | |||||||
\(458\) | −1.48390 | + | 14.9780i | −0.0693379 | + | 0.699878i | ||||
\(459\) | −0.302844 | + | 3.07482i | −0.0141355 | + | 0.143521i | ||||
\(460\) | −13.8521 | − | 25.9873i | −0.645860 | − | 1.21166i | ||||
\(461\) | −35.7040 | − | 10.8307i | −1.66290 | − | 0.504435i | −0.687744 | − | 0.725953i | \(-0.741399\pi\) |
−0.975156 | + | 0.221518i | \(0.928899\pi\) | |||||||
\(462\) | −24.5802 | − | 16.4444i | −1.14357 | − | 0.765063i | ||||
\(463\) | −10.7240 | − | 4.44201i | −0.498385 | − | 0.206438i | 0.119308 | − | 0.992857i | \(-0.461933\pi\) |
−0.617693 | + | 0.786419i | \(0.711933\pi\) | |||||||
\(464\) | 30.6368 | − | 2.94641i | 1.42228 | − | 0.136784i | ||||
\(465\) | −6.76380 | + | 2.80166i | −0.313664 | + | 0.129924i | ||||
\(466\) | 5.15005 | + | 1.02748i | 0.238571 | + | 0.0475973i | ||||
\(467\) | 3.54868 | + | 6.63912i | 0.164213 | + | 0.307222i | 0.950547 | − | 0.310580i | \(-0.100523\pi\) |
−0.786334 | + | 0.617802i | \(0.788023\pi\) | |||||||
\(468\) | −3.78029 | + | 3.09514i | −0.174744 | + | 0.143073i | ||||
\(469\) | −42.4428 | − | 51.7167i | −1.95983 | − | 2.38805i | ||||
\(470\) | 44.1407 | + | 23.6263i | 2.03606 | + | 1.08980i | ||||
\(471\) | −14.5558 | − | 9.72590i | −0.670697 | − | 0.448146i | ||||
\(472\) | −0.603323 | + | 6.01929i | −0.0277702 | + | 0.277060i | ||||
\(473\) | 14.5512 | + | 21.7774i | 0.669066 | + | 1.00133i | ||||
\(474\) | 2.07944 | + | 1.70855i | 0.0955119 | + | 0.0784764i | ||||
\(475\) | 10.1890 | − | 19.0624i | 0.467505 | − | 0.874641i | ||||
\(476\) | 26.3084 | + | 17.6225i | 1.20584 | + | 0.807724i | ||||
\(477\) | 3.71809 | − | 0.366200i | 0.170240 | − | 0.0167672i | ||||
\(478\) | −29.9427 | + | 29.9083i | −1.36955 | + | 1.36797i | ||||
\(479\) | 7.01057 | − | 7.01057i | 0.320321 | − | 0.320321i | −0.528569 | − | 0.848890i | \(-0.677271\pi\) |
0.848890 | + | 0.528569i | \(0.177271\pi\) | |||||||
\(480\) | 0.0639328 | − | 22.2619i | 0.00291812 | − | 1.01611i | ||||
\(481\) | 3.67456 | + | 3.67456i | 0.167545 | + | 0.167545i | ||||
\(482\) | 8.11203 | + | 0.00465930i | 0.369493 | + | 0.000212225i | ||||
\(483\) | −1.87925 | − | 19.0803i | −0.0855088 | − | 0.868185i | ||||
\(484\) | −9.40900 | + | 6.27127i | −0.427682 | + | 0.285058i | ||||
\(485\) | 35.7710 | + | 19.1200i | 1.62428 | + | 0.868195i | ||||
\(486\) | 1.40748 | − | 0.137809i | 0.0638447 | − | 0.00625113i | ||||
\(487\) | 0.119775 | − | 0.0800311i | 0.00542753 | − | 0.00362656i | −0.552854 | − | 0.833278i | \(-0.686461\pi\) |
0.558281 | + | 0.829652i | \(0.311461\pi\) | |||||||
\(488\) | −3.18714 | − | 5.98751i | −0.144275 | − | 0.271042i | ||||
\(489\) | 7.34305 | − | 10.9897i | 0.332064 | − | 0.496969i | ||||
\(490\) | 31.0547 | + | 102.586i | 1.40291 | + | 4.63436i | ||||
\(491\) | −19.8103 | + | 16.2579i | −0.894025 | + | 0.733707i | −0.964577 | − | 0.263801i | \(-0.915024\pi\) |
0.0705523 | + | 0.997508i | \(0.477524\pi\) | |||||||
\(492\) | 0.529241 | − | 0.987411i | 0.0238600 | − | 0.0445159i | ||||
\(493\) | 20.9667 | − | 11.2069i | 0.944291 | − | 0.504734i | ||||
\(494\) | 5.92257 | − | 3.95242i | 0.266469 | − | 0.177828i | ||||
\(495\) | 6.14587 | + | 14.8375i | 0.276236 | + | 0.666894i | ||||
\(496\) | 5.27385 | − | 5.24967i | 0.236803 | − | 0.235717i | ||||
\(497\) | −11.3944 | + | 27.5084i | −0.511106 | + | 1.23392i | ||||
\(498\) | 1.14305 | + | 5.76379i | 0.0512212 | + | 0.258281i | ||||
\(499\) | −6.03347 | + | 19.8897i | −0.270095 | + | 0.890385i | 0.712029 | + | 0.702150i | \(0.247776\pi\) |
−0.982124 | + | 0.188234i | \(0.939724\pi\) | |||||||
\(500\) | −4.18395 | − | 42.9865i | −0.187112 | − | 1.92242i | ||||
\(501\) | 5.33576 | + | 0.525527i | 0.238384 | + | 0.0234788i | ||||
\(502\) | −1.56700 | − | 1.91163i | −0.0699384 | − | 0.0853201i | ||||
\(503\) | −5.46684 | − | 27.4837i | −0.243755 | − | 1.22544i | −0.887721 | − | 0.460383i | \(-0.847712\pi\) |
0.643966 | − | 0.765054i | \(-0.277288\pi\) | |||||||
\(504\) | 5.56958 | − | 13.3809i | 0.248089 | − | 0.596032i | ||||
\(505\) | 19.9975 | + | 3.97776i | 0.889878 | + | 0.177008i | ||||
\(506\) | −20.6598 | − | 6.28005i | −0.918441 | − | 0.279182i | ||||
\(507\) | 6.72956 | − | 2.04139i | 0.298870 | − | 0.0906613i | ||||
\(508\) | −7.09928 | + | 7.08299i | −0.314980 | + | 0.314257i | ||||
\(509\) | −10.2476 | + | 12.4868i | −0.454218 | + | 0.553466i | −0.948887 | − | 0.315615i | \(-0.897789\pi\) |
0.494670 | + | 0.869081i | \(0.335289\pi\) | |||||||
\(510\) | −6.57138 | − | 15.8905i | −0.290986 | − | 0.703645i | ||||
\(511\) | −19.8711 | −0.879044 | ||||||||
\(512\) | 8.55096 | + | 20.9495i | 0.377903 | + | 0.925845i | ||||
\(513\) | −2.06102 | −0.0909961 | ||||||||
\(514\) | −6.93189 | − | 16.7623i | −0.305753 | − | 0.739353i | ||||
\(515\) | 40.6213 | − | 49.4972i | 1.78999 | − | 2.18111i | ||||
\(516\) | −9.08695 | + | 9.06609i | −0.400030 | + | 0.399112i | ||||
\(517\) | 35.1301 | − | 10.6566i | 1.54502 | − | 0.468677i | ||||
\(518\) | −14.7495 | − | 4.48348i | −0.648058 | − | 0.196993i | ||||
\(519\) | −11.0140 | − | 2.19082i | −0.483460 | − | 0.0961661i | ||||
\(520\) | 10.4490 | − | 25.1038i | 0.458221 | − | 1.10087i | ||||
\(521\) | −0.206346 | − | 1.03737i | −0.00904017 | − | 0.0454480i | 0.976002 | − | 0.217762i | \(-0.0698756\pi\) |
−0.985042 | + | 0.172314i | \(0.944876\pi\) | |||||||
\(522\) | −6.89846 | − | 8.41565i | −0.301937 | − | 0.368343i | ||||
\(523\) | 25.1096 | + | 2.47308i | 1.09797 | + | 0.108140i | 0.630738 | − | 0.775996i | \(-0.282752\pi\) |
0.467229 | + | 0.884136i | \(0.345252\pi\) | |||||||
\(524\) | −0.916213 | − | 9.41331i | −0.0400249 | − | 0.411222i | ||||
\(525\) | 15.6000 | − | 51.4263i | 0.680840 | − | 2.24443i | ||||
\(526\) | −6.32011 | − | 31.8690i | −0.275570 | − | 1.38955i | ||||
\(527\) | 2.19960 | − | 5.31030i | 0.0958160 | − | 0.231320i | ||||
\(528\) | −11.5160 | − | 11.5690i | −0.501168 | − | 0.503476i | ||||
\(529\) | 3.44457 | + | 8.31594i | 0.149764 | + | 0.361562i | ||||
\(530\) | −17.2955 | + | 11.5421i | −0.751268 | + | 0.501357i | ||||
\(531\) | 1.88626 | − | 1.00823i | 0.0818566 | − | 0.0437532i | ||||
\(532\) | −9.97851 | + | 18.6170i | −0.432623 | + | 0.807149i | ||||
\(533\) | 1.05777 | − | 0.868090i | 0.0458171 | − | 0.0376011i | ||||
\(534\) | 5.34655 | + | 17.6617i | 0.231368 | + | 0.764298i | ||||
\(535\) | −37.9242 | + | 56.7576i | −1.63961 | + | 2.45385i | ||||
\(536\) | −17.3516 | − | 32.5975i | −0.749473 | − | 1.40800i | ||||
\(537\) | −9.30049 | + | 6.21439i | −0.401346 | + | 0.268171i | ||||
\(538\) | −4.71632 | + | 0.461782i | −0.203335 | + | 0.0199088i | ||||
\(539\) | 69.3121 | + | 37.0481i | 2.98548 | + | 1.59577i | ||||
\(540\) | −6.54934 | + | 4.36526i | −0.281839 | + | 0.187851i | ||||
\(541\) | 3.10875 | + | 31.5637i | 0.133656 | + | 1.35703i | 0.794846 | + | 0.606812i | \(0.207552\pi\) |
−0.661190 | + | 0.750219i | \(0.729948\pi\) | |||||||
\(542\) | −8.20383 | − | 0.00471202i | −0.352385 | − | 0.000202399i | ||||
\(543\) | −10.2507 | − | 10.2507i | −0.439899 | − | 0.439899i | ||||
\(544\) | 12.3233 | + | 12.3942i | 0.528356 | + | 0.531399i | ||||
\(545\) | 25.5853 | − | 25.5853i | 1.09595 | − | 1.09595i | ||||
\(546\) | 12.5252 | − | 12.5108i | 0.536030 | − | 0.535415i | ||||
\(547\) | 4.22939 | − | 0.416559i | 0.180836 | − | 0.0178108i | −0.00719385 | − | 0.999974i | \(-0.502290\pi\) |
0.188030 | + | 0.982163i | \(0.439790\pi\) | |||||||
\(548\) | −18.5880 | − | 12.4510i | −0.794041 | − | 0.531882i | ||||
\(549\) | −1.13047 | + | 2.11496i | −0.0482473 | + | 0.0902643i | ||||
\(550\) | −46.7645 | − | 38.4236i | −1.99404 | − | 1.63839i | ||||
\(551\) | 8.81056 | + | 13.1859i | 0.375342 | + | 0.561740i | ||||
\(552\) | 1.05542 | − | 10.5298i | 0.0449217 | − | 0.448179i | ||||
\(553\) | −8.10835 | − | 5.41783i | −0.344802 | − | 0.230390i | ||||
\(554\) | 4.42551 | + | 2.36875i | 0.188022 | + | 0.100639i | ||||
\(555\) | 5.31087 | + | 6.47132i | 0.225434 | + | 0.274692i | ||||
\(556\) | 18.5484 | − | 15.1867i | 0.786628 | − | 0.644058i | ||||
\(557\) | 14.9638 | + | 27.9952i | 0.634035 | + | 1.18620i | 0.969720 | + | 0.244221i | \(0.0785323\pi\) |
−0.335685 | + | 0.941974i | \(0.608968\pi\) | |||||||
\(558\) | −2.58004 | − | 0.514742i | −0.109222 | − | 0.0217908i | ||||
\(559\) | −14.4851 | + | 5.99992i | −0.612654 | + | 0.253769i | ||||
\(560\) | 7.72207 | + | 80.2943i | 0.326317 | + | 3.39305i | ||||
\(561\) | −11.6490 | − | 4.82516i | −0.491820 | − | 0.203718i | ||||
\(562\) | −14.9455 | − | 9.99871i | −0.630439 | − | 0.421770i | ||||
\(563\) | 8.65406 | + | 2.62518i | 0.364725 | + | 0.110638i | 0.467327 | − | 0.884084i | \(-0.345217\pi\) |
−0.102602 | + | 0.994722i | \(0.532717\pi\) | |||||||
\(564\) | 8.46294 | + | 15.8769i | 0.356354 | + | 0.668538i | ||||
\(565\) | 6.83408 | − | 69.3876i | 0.287512 | − | 2.91916i | ||||
\(566\) | −0.832301 | + | 8.40103i | −0.0349842 | + | 0.353122i | ||||
\(567\) | −5.02585 | + | 0.999703i | −0.211066 | + | 0.0419836i | ||||
\(568\) | −9.15412 | + | 13.6491i | −0.384098 | + | 0.572705i | ||||
\(569\) | 3.70781 | − | 18.6404i | 0.155439 | − | 0.781447i | −0.821877 | − | 0.569664i | \(-0.807073\pi\) |
0.977317 | − | 0.211782i | \(-0.0679268\pi\) | |||||||
\(570\) | 10.1192 | − | 5.40138i | 0.423848 | − | 0.226239i | ||||
\(571\) | −13.3518 | − | 44.0149i | −0.558754 | − | 1.84196i | −0.539235 | − | 0.842155i | \(-0.681287\pi\) |
−0.0195186 | − | 0.999809i | \(-0.506213\pi\) | |||||||
\(572\) | −7.60886 | − | 18.4293i | −0.318143 | − | 0.770567i | ||||
\(573\) | 3.59547 | + | 2.95073i | 0.150203 | + | 0.123268i | ||||
\(574\) | −1.55560 | + | 3.74945i | −0.0649293 | + | 0.156499i | ||||
\(575\) | − | 39.2385i | − | 1.63636i | ||||||
\(576\) | 4.46746 | − | 6.63640i | 0.186144 | − | 0.276517i | ||||
\(577\) | 36.5677i | 1.52233i | 0.648557 | + | 0.761166i | \(0.275373\pi\) | ||||
−0.648557 | + | 0.761166i | \(0.724627\pi\) | |||||||
\(578\) | −9.73646 | − | 4.03953i | −0.404984 | − | 0.168022i | ||||
\(579\) | −15.1607 | − | 12.4421i | −0.630058 | − | 0.517075i | ||||
\(580\) | 55.9255 | + | 23.2404i | 2.32218 | + | 0.965004i | ||||
\(581\) | −6.18057 | − | 20.3746i | −0.256413 | − | 0.845282i | ||||
\(582\) | 6.86353 | + | 12.8585i | 0.284503 | + | 0.533003i | ||||
\(583\) | −2.97446 | + | 14.9536i | −0.123190 | + | 0.619316i | ||||
\(584\) | −10.7536 | − | 2.15830i | −0.444988 | − | 0.0893111i | ||||
\(585\) | −9.42895 | + | 1.87553i | −0.389839 | + | 0.0775438i | ||||
\(586\) | 30.1378 | + | 2.98579i | 1.24498 | + | 0.123342i | ||||
\(587\) | −1.12091 | + | 11.3808i | −0.0462651 | + | 0.469737i | 0.943940 | + | 0.330117i | \(0.107088\pi\) |
−0.990205 | + | 0.139620i | \(0.955412\pi\) | |||||||
\(588\) | −11.2233 | + | 36.8457i | −0.462839 | + | 1.51949i | ||||
\(589\) | 3.66905 | + | 1.11299i | 0.151181 | + | 0.0458601i | ||||
\(590\) | −6.61891 | + | 9.89359i | −0.272496 | + | 0.407313i | ||||
\(591\) | 1.69336 | + | 0.701412i | 0.0696555 | + | 0.0288522i | ||||
\(592\) | −7.49504 | − | 4.02835i | −0.308044 | − | 0.165564i | ||||
\(593\) | 34.5712 | − | 14.3199i | 1.41967 | − | 0.588047i | 0.464892 | − | 0.885367i | \(-0.346093\pi\) |
0.954778 | + | 0.297321i | \(0.0960930\pi\) | |||||||
\(594\) | −1.12917 | + | 5.65972i | −0.0463303 | + | 0.232221i | ||||
\(595\) | 29.3715 | + | 54.9503i | 1.20412 | + | 2.25274i | ||||
\(596\) | 0.670970 | − | 6.73317i | 0.0274840 | − | 0.275801i | ||||
\(597\) | −2.84732 | − | 3.46947i | −0.116533 | − | 0.141996i | ||||
\(598\) | 6.09980 | − | 11.3962i | 0.249439 | − | 0.466024i | ||||
\(599\) | −26.0679 | − | 17.4180i | −1.06510 | − | 0.711680i | −0.105895 | − | 0.994377i | \(-0.533771\pi\) |
−0.959209 | + | 0.282697i | \(0.908771\pi\) | |||||||
\(600\) | 14.0279 | − | 26.1360i | 0.572688 | − | 1.06700i | ||||
\(601\) | 21.8203 | + | 32.6564i | 0.890069 | + | 1.33208i | 0.942760 | + | 0.333472i | \(0.108220\pi\) |
−0.0526911 | + | 0.998611i | \(0.516780\pi\) | |||||||
\(602\) | 29.5269 | − | 35.9365i | 1.20343 | − | 1.46466i | ||||
\(603\) | −6.15455 | + | 11.5144i | −0.250633 | + | 0.468901i | ||||
\(604\) | −2.71169 | − | 13.7149i | −0.110337 | − | 0.558052i | ||||
\(605\) | −22.1425 | + | 2.18084i | −0.900220 | + | 0.0886639i | ||||
\(606\) | 5.17803 | + | 5.18398i | 0.210343 | + | 0.210585i | ||||
\(607\) | 7.65283 | − | 7.65283i | 0.310619 | − | 0.310619i | −0.534531 | − | 0.845149i | \(-0.679512\pi\) |
0.845149 | + | 0.534531i | \(0.179512\pi\) | |||||||
\(608\) | −7.42216 | + | 8.99115i | −0.301008 | + | 0.364639i | ||||
\(609\) | 27.8807 | + | 27.8807i | 1.12978 | + | 1.12978i | ||||
\(610\) | 0.00766596 | − | 13.3468i | 0.000310386 | − | 0.540394i | ||||
\(611\) | 2.15398 | + | 21.8698i | 0.0871408 | + | 0.884756i | ||||
\(612\) | 1.21250 | − | 6.05928i | 0.0490125 | − | 0.244932i | ||||
\(613\) | 23.1873 | + | 12.3939i | 0.936526 | + | 0.500584i | 0.867724 | − | 0.497047i | \(-0.165582\pi\) |
0.0688022 | + | 0.997630i | \(0.478082\pi\) | |||||||
\(614\) | 1.06593 | + | 10.8866i | 0.0430173 | + | 0.439349i | ||||
\(615\) | 1.83290 | − | 1.22471i | 0.0739098 | − | 0.0493850i | ||||
\(616\) | 45.6569 | + | 37.6015i | 1.83957 | + | 1.51501i | ||||
\(617\) | 1.19874 | − | 1.79404i | 0.0482593 | − | 0.0722251i | −0.806555 | − | 0.591159i | \(-0.798671\pi\) |
0.854815 | + | 0.518933i | \(0.173671\pi\) | |||||||
\(618\) | 22.0233 | − | 6.66688i | 0.885907 | − | 0.268181i | ||||
\(619\) | −14.7005 | + | 12.0644i | −0.590864 | + | 0.484909i | −0.881666 | − | 0.471874i | \(-0.843578\pi\) |
0.290802 | + | 0.956783i | \(0.406078\pi\) | |||||||
\(620\) | 14.0166 | − | 4.23430i | 0.562918 | − | 0.170054i | ||||
\(621\) | −3.29972 | + | 1.76374i | −0.132413 | + | 0.0707763i | ||||
\(622\) | 12.0458 | + | 18.0502i | 0.482991 | + | 0.723746i | ||||
\(623\) | −25.5878 | − | 61.7744i | −1.02515 | − | 2.47494i | ||||
\(624\) | 8.13715 | − | 5.41007i | 0.325747 | − | 0.216576i | ||||
\(625\) | 12.4554 | − | 30.0700i | 0.498216 | − | 1.20280i | ||||
\(626\) | 30.8032 | − | 6.10874i | 1.23114 | − | 0.244154i | ||||
\(627\) | 2.44153 | − | 8.04863i | 0.0975052 | − | 0.321431i | ||||
\(628\) | 27.0393 | + | 22.2426i | 1.07899 | + | 0.887578i | ||||
\(629\) | −6.54093 | − | 0.644225i | −0.260804 | − | 0.0256869i | ||||
\(630\) | 22.0561 | − | 18.0798i | 0.878736 | − | 0.720316i | ||||
\(631\) | −1.63934 | − | 8.24154i | −0.0652612 | − | 0.328090i | 0.934338 | − | 0.356387i | \(-0.115992\pi\) |
−0.999600 | + | 0.0282969i | \(0.990992\pi\) | |||||||
\(632\) | −3.79954 | − | 3.81266i | −0.151138 | − | 0.151659i | ||||
\(633\) | −10.2024 | − | 2.02939i | −0.405510 | − | 0.0806609i | ||||
\(634\) | −1.28118 | + | 4.21475i | −0.0508820 | + | 0.167389i | ||||
\(635\) | −18.8831 | + | 5.72814i | −0.749354 | + | 0.227314i | ||||
\(636\) | −7.47216 | − | 0.00858356i | −0.296291 | − | 0.000340360i | ||||
\(637\) | −29.8458 | + | 36.3672i | −1.18253 | + | 1.44092i | ||||
\(638\) | 41.0367 | − | 16.9703i | 1.62466 | − | 0.671862i | ||||
\(639\) | 5.81051 | 0.229860 | ||||||||
\(640\) | −4.54222 | + | 44.2916i | −0.179547 | + | 1.75078i | ||||
\(641\) | 21.4050 | 0.845447 | 0.422723 | − | 0.906259i | \(-0.361074\pi\) | ||||
0.422723 | + | 0.906259i | \(0.361074\pi\) | |||||||
\(642\) | −22.6685 | + | 9.37435i | −0.894655 | + | 0.369976i | ||||
\(643\) | −18.4740 | + | 22.5107i | −0.728545 | + | 0.887734i | −0.997144 | − | 0.0755174i | \(-0.975939\pi\) |
0.268600 | + | 0.963252i | \(0.413439\pi\) | |||||||
\(644\) | −0.0440487 | + | 38.3453i | −0.00173576 | + | 1.51102i | ||||
\(645\) | −24.1701 | + | 7.33191i | −0.951695 | + | 0.288694i | ||||
\(646\) | −2.61914 | + | 8.61633i | −0.103049 | + | 0.339005i | ||||
\(647\) | 23.6653 | + | 4.70733i | 0.930380 | + | 0.185064i | 0.636940 | − | 0.770913i | \(-0.280200\pi\) |
0.293440 | + | 0.955977i | \(0.405200\pi\) | |||||||
\(648\) | −2.82842 | − | 0.00487368i | −0.111111 | − | 0.000191456i | ||||
\(649\) | 1.70279 | + | 8.56053i | 0.0668405 | + | 0.336030i | ||||
\(650\) | 28.0202 | − | 22.9687i | 1.09904 | − | 0.900905i | ||||
\(651\) | 9.48694 | + | 0.934382i | 0.371822 | + | 0.0366213i | ||||
\(652\) | −16.7932 | + | 20.4147i | −0.657672 | + | 0.799501i | ||||
\(653\) | 4.91090 | − | 16.1891i | 0.192178 | − | 0.633527i | −0.806903 | − | 0.590683i | \(-0.798858\pi\) |
0.999082 | − | 0.0428438i | \(-0.0136418\pi\) | |||||||
\(654\) | 12.7542 | − | 2.52936i | 0.498731 | − | 0.0989059i | ||||
\(655\) | 7.12177 | − | 17.1935i | 0.278270 | − | 0.671804i | ||||
\(656\) | −1.24909 | + | 1.86013i | −0.0487688 | + | 0.0726259i | ||||
\(657\) | 1.48397 | + | 3.58262i | 0.0578952 | + | 0.139771i | ||||
\(658\) | −36.1872 | − | 54.2254i | −1.41072 | − | 2.11393i | ||||
\(659\) | −42.5483 | + | 22.7426i | −1.65745 | + | 0.885924i | −0.667480 | + | 0.744628i | \(0.732627\pi\) |
−0.989967 | + | 0.141296i | \(0.954873\pi\) | |||||||
\(660\) | −9.28860 | − | 30.7475i | −0.361558 | − | 1.19684i | ||||
\(661\) | −24.1791 | + | 19.8432i | −0.940457 | + | 0.771813i | −0.973747 | − | 0.227633i | \(-0.926901\pi\) |
0.0332905 | + | 0.999446i | \(0.489401\pi\) | |||||||
\(662\) | −8.60404 | + | 2.60461i | −0.334406 | + | 0.101231i | ||||
\(663\) | 4.19331 | − | 6.27573i | 0.162854 | − | 0.243729i | ||||
\(664\) | −1.13175 | − | 11.6974i | −0.0439204 | − | 0.453949i | ||||
\(665\) | −34.5582 | + | 23.0911i | −1.34011 | + | 0.895434i | ||||
\(666\) | 0.293154 | + | 2.99407i | 0.0113595 | + | 0.116018i | ||||
\(667\) | 25.3898 | + | 13.5711i | 0.983098 | + | 0.525477i | ||||
\(668\) | −10.5147 | − | 2.10406i | −0.406826 | − | 0.0814087i | ||||
\(669\) | 0.896177 | + | 9.09904i | 0.0346482 | + | 0.351789i | ||||
\(670\) | 0.0417353 | − | 72.6630i | 0.00161238 | − | 2.80722i | ||||
\(671\) | −6.92011 | − | 6.92011i | −0.267148 | − | 0.267148i | ||||
\(672\) | −13.7380 | + | 25.5253i | −0.529953 | + | 0.984661i | ||||
\(673\) | 15.7518 | − | 15.7518i | 0.607187 | − | 0.607187i | −0.335023 | − | 0.942210i | \(-0.608744\pi\) |
0.942210 | + | 0.335023i | \(0.108744\pi\) | |||||||
\(674\) | 4.42258 | + | 4.42766i | 0.170351 | + | 0.170547i | ||||
\(675\) | −10.4368 | + | 1.02794i | −0.401714 | + | 0.0395654i | ||||
\(676\) | −13.7976 | + | 2.72805i | −0.530678 | + | 0.104925i | ||||
\(677\) | 19.1099 | − | 35.7522i | 0.734455 | − | 1.37407i | −0.185737 | − | 0.982600i | \(-0.559467\pi\) |
0.920192 | − | 0.391468i | \(-0.128033\pi\) | |||||||
\(678\) | 15.9062 | − | 19.3591i | 0.610875 | − | 0.743482i | ||||
\(679\) | −29.3419 | − | 43.9132i | −1.12604 | − | 1.68523i | ||||
\(680\) | 9.92657 | + | 32.9277i | 0.380667 | + | 1.26272i | ||||
\(681\) | 5.57273 | + | 3.72358i | 0.213548 | + | 0.142688i | ||||
\(682\) | 5.06653 | − | 9.46573i | 0.194007 | − | 0.362461i | ||||
\(683\) | −3.60525 | − | 4.39301i | −0.137951 | − | 0.168094i | 0.699452 | − | 0.714679i | \(-0.253427\pi\) |
−0.837403 | + | 0.546585i | \(0.815927\pi\) | |||||||
\(684\) | 4.10172 | + | 0.408742i | 0.156833 | + | 0.0156286i | ||||
\(685\) | −20.7523 | − | 38.8248i | −0.792904 | − | 1.48342i | ||||
\(686\) | 17.3811 | − | 87.1192i | 0.663614 | − | 3.32623i | ||||
\(687\) | −9.83278 | + | 4.07287i | −0.375144 | + | 0.155390i | ||||
\(688\) | 19.8823 | − | 16.2407i | 0.758006 | − | 0.619171i | ||||
\(689\) | −8.43205 | − | 3.49267i | −0.321235 | − | 0.133060i | ||||
\(690\) | 11.5788 | − | 17.3073i | 0.440796 | − | 0.658878i | ||||
\(691\) | 10.2924 | + | 3.12216i | 0.391541 | + | 0.118773i | 0.479916 | − | 0.877315i | \(-0.340667\pi\) |
−0.0883747 | + | 0.996087i | \(0.528167\pi\) | |||||||
\(692\) | 21.4849 | + | 6.54433i | 0.816733 | + | 0.248778i | ||||
\(693\) | 2.04971 | − | 20.8111i | 0.0778622 | − | 0.790548i | ||||
\(694\) | −43.0081 | − | 4.26087i | −1.63257 | − | 0.161740i | ||||
\(695\) | 46.2642 | − | 9.20251i | 1.75490 | − | 0.349071i | ||||
\(696\) | 12.0599 | + | 18.1165i | 0.457130 | + | 0.686703i | ||||
\(697\) | −0.337643 | + | 1.69744i | −0.0127891 | + | 0.0642953i | ||||
\(698\) | −4.50068 | − | 8.43183i | −0.170353 | − | 0.319149i | ||||
\(699\) | 1.07794 | + | 3.55351i | 0.0407716 | + | 0.134406i | ||||
\(700\) | −41.2451 | + | 99.2519i | −1.55892 | + | 3.75137i | ||||
\(701\) | −34.7865 | − | 28.5485i | −1.31387 | − | 1.07826i | −0.991287 | − | 0.131721i | \(-0.957950\pi\) |
−0.322581 | − | 0.946542i | \(-0.604550\pi\) | |||||||
\(702\) | −3.19101 | − | 1.32391i | −0.120437 | − | 0.0499676i | ||||
\(703\) | − | 4.38430i | − | 0.165357i | ||||||
\(704\) | 20.6241 | + | 25.3078i | 0.777298 | + | 0.953825i | ||||
\(705\) | 35.4020i | 1.33332i | ||||||||
\(706\) | −2.42348 | + | 5.84132i | −0.0912091 | + | 0.219841i | ||||
\(707\) | −20.5227 | − | 16.8426i | −0.771836 | − | 0.633429i | ||||
\(708\) | −3.95387 | + | 1.63243i | −0.148596 | + | 0.0613504i | ||||
\(709\) | −13.6432 | − | 44.9755i | −0.512380 | − | 1.68909i | −0.706166 | − | 0.708047i | \(-0.749577\pi\) |
0.193786 | − | 0.981044i | \(-0.437923\pi\) | |||||||
\(710\) | −28.5286 | + | 15.2278i | −1.07066 | + | 0.571490i | ||||
\(711\) | −0.371267 | + | 1.86649i | −0.0139236 | + | 0.0699987i | ||||
\(712\) | −7.13772 | − | 36.2097i | −0.267497 | − | 1.35702i | ||||
\(713\) | 6.82665 | − | 1.35791i | 0.255660 | − | 0.0508540i | ||||
\(714\) | −2.20747 | + | 22.2816i | −0.0826124 | + | 0.833867i | ||||
\(715\) | 3.84545 | − | 39.0435i | 0.143812 | − | 1.46014i | ||||
\(716\) | 19.7417 | − | 10.5230i | 0.737784 | − | 0.393265i | ||||
\(717\) | −28.6369 | − | 8.68691i | −1.06946 | − | 0.324418i | ||||
\(718\) | 17.3768 | + | 11.6252i | 0.648495 | + | 0.433850i | ||||
\(719\) | −36.6450 | − | 15.1789i | −1.36663 | − | 0.566076i | −0.425757 | − | 0.904838i | \(-0.639992\pi\) |
−0.940872 | + | 0.338761i | \(0.889992\pi\) | |||||||
\(720\) | 13.8998 | − | 7.38861i | 0.518017 | − | 0.275357i | ||||
\(721\) | −77.0296 | + | 31.9067i | −2.86873 | + | 1.18827i | ||||
\(722\) | 20.4596 | + | 4.08188i | 0.761426 | + | 0.151912i | ||||
\(723\) | 2.70397 | + | 5.05877i | 0.100562 | + | 0.188138i | ||||
\(724\) | 18.3674 | + | 22.4332i | 0.682619 | + | 0.833725i | ||||
\(725\) | 51.1925 | + | 62.3783i | 1.90124 | + | 2.31667i | ||||
\(726\) | −7.04930 | − | 3.77313i | −0.261624 | − | 0.140034i | ||||
\(727\) | −5.17871 | − | 3.46031i | −0.192068 | − | 0.128336i | 0.455818 | − | 0.890073i | \(-0.349347\pi\) |
−0.647886 | + | 0.761737i | \(0.724347\pi\) | |||||||
\(728\) | −27.4082 | + | 22.4144i | −1.01581 | + | 0.830732i | ||||
\(729\) | 0.555570 | + | 0.831470i | 0.0205767 | + | 0.0307952i | ||||
\(730\) | −16.6751 | − | 13.7010i | −0.617175 | − | 0.507096i | ||||
\(731\) | 9.34776 | − | 17.4884i | 0.345740 | − | 0.646833i | ||||
\(732\) | 2.66924 | − | 3.98488i | 0.0986578 | − | 0.147285i | ||||
\(733\) | −25.2585 | + | 2.48775i | −0.932945 | + | 0.0918871i | −0.553055 | − | 0.833145i | \(-0.686538\pi\) |
−0.379890 | + | 0.925032i | \(0.624038\pi\) | |||||||
\(734\) | −11.4701 | + | 11.4569i | −0.423368 | + | 0.422882i | ||||
\(735\) | −53.5916 | + | 53.5916i | −1.97676 | + | 1.97676i | ||||
\(736\) | −4.18872 | + | 20.7465i | −0.154398 | + | 0.764728i | ||||
\(737\) | −37.6748 | − | 37.6748i | −1.38777 | − | 1.38777i | ||||
\(738\) | 0.792173 | 0.000455000i | 0.0291603 | 1.67488e-5i | ||||||
\(739\) | 4.70193 | + | 47.7395i | 0.172963 | + | 1.75613i | 0.554881 | + | 0.831930i | \(0.312764\pi\) |
−0.381918 | + | 0.924196i | \(0.624736\pi\) | |||||||
\(740\) | −9.28600 | − | 13.9321i | −0.341360 | − | 0.512154i | ||||
\(741\) | 4.44030 | + | 2.37339i | 0.163119 | + | 0.0871887i | ||||
\(742\) | 26.9461 | − | 2.63833i | 0.989221 | − | 0.0968561i | ||||
\(743\) | −31.1677 | + | 20.8256i | −1.14343 | + | 0.764016i | −0.975111 | − | 0.221716i | \(-0.928834\pi\) |
−0.168320 | + | 0.985732i | \(0.553834\pi\) | |||||||
\(744\) | 5.03256 | + | 1.53609i | 0.184503 | + | 0.0563156i | ||||
\(745\) | 7.39712 | − | 11.0706i | 0.271010 | − | 0.405594i | ||||
\(746\) | 10.3221 | + | 34.0981i | 0.377921 | + | 1.24842i | ||||
\(747\) | −3.21185 | + | 2.63589i | −0.117515 | + | 0.0964423i | ||||
\(748\) | 22.2262 | + | 11.9130i | 0.812670 | + | 0.435582i | ||||
\(749\) | 78.3889 | − | 41.8997i | 2.86427 | − | 1.53098i | ||||
\(750\) | 25.4026 | − | 16.9524i | 0.927571 | − | 0.619013i | ||||
\(751\) | −8.81055 | − | 21.2706i | −0.321502 | − | 0.776173i | −0.999167 | − | 0.0408033i | \(-0.987008\pi\) |
0.677666 | − | 0.735370i | \(-0.262992\pi\) | |||||||
\(752\) | −13.6937 | − | 33.2757i | −0.499360 | − | 1.21344i | ||||
\(753\) | 0.668864 | − | 1.61478i | 0.0243748 | − | 0.0588459i | ||||
\(754\) | 5.17105 | + | 26.0749i | 0.188318 | + | 0.949591i | ||||
\(755\) | 7.98551 | − | 26.3247i | 0.290622 | − | 0.958054i | ||||
\(756\) | 10.2004 | − | 0.992823i | 0.370986 | − | 0.0361086i | ||||
\(757\) | 52.7973 | + | 5.20008i | 1.91895 | + | 0.189000i | 0.985496 | − | 0.169699i | \(-0.0542796\pi\) |
0.933453 | + | 0.358699i | \(0.116780\pi\) | |||||||
\(758\) | −31.8544 | − | 38.8602i | −1.15700 | − | 1.41147i | ||||
\(759\) | −2.97878 | − | 14.9753i | −0.108123 | − | 0.543570i | ||||
\(760\) | −21.2099 | + | 8.74266i | −0.769365 | + | 0.317130i | ||||
\(761\) | −16.9441 | − | 3.37040i | −0.614225 | − | 0.122177i | −0.121833 | − | 0.992551i | \(-0.538877\pi\) |
−0.492392 | + | 0.870374i | \(0.663877\pi\) | |||||||
\(762\) | −6.78461 | − | 2.06235i | −0.245781 | − | 0.0747109i | ||||
\(763\) | −45.0855 | + | 13.6765i | −1.63220 | + | 0.495124i | ||||
\(764\) | −6.57031 | − | 6.58542i | −0.237706 | − | 0.238252i | ||||
\(765\) | 7.71371 | − | 9.39919i | 0.278890 | − | 0.339828i | ||||
\(766\) | −7.42600 | − | 17.9571i | −0.268312 | − | 0.648817i | ||||
\(767\) | −5.22483 | −0.188658 | ||||||||
\(768\) | −10.2070 | + | 12.3214i | −0.368314 | + | 0.444610i | ||||
\(769\) | 39.5594 | 1.42655 | 0.713275 | − | 0.700884i | \(-0.247211\pi\) | ||||
0.713275 | + | 0.700884i | \(0.247211\pi\) | |||||||
\(770\) | 44.4766 | + | 107.551i | 1.60282 | + | 3.87586i | ||||
\(771\) | 8.13689 | − | 9.91483i | 0.293043 | − | 0.357074i | ||||
\(772\) | 27.7045 | + | 27.7682i | 0.997106 | + | 0.999400i | ||||
\(773\) | 0.702428 | − | 0.213079i | 0.0252646 | − | 0.00766393i | −0.277627 | − | 0.960689i | \(-0.589548\pi\) |
0.302892 | + | 0.953025i | \(0.402048\pi\) | |||||||
\(774\) | −8.68418 | − | 2.63976i | −0.312146 | − | 0.0948844i | ||||
\(775\) | 19.1349 | + | 3.80617i | 0.687346 | + | 0.136722i | ||||
\(776\) | −11.1093 | − | 26.9515i | −0.398801 | − | 0.967502i | ||||
\(777\) | −2.12662 | − | 10.6912i | −0.0762921 | − | 0.383546i | ||||
\(778\) | −8.73999 | − | 10.6622i | −0.313344 | − | 0.382258i | ||||
\(779\) | −1.14892 | − | 0.113159i | −0.0411644 | − | 0.00405434i | ||||
\(780\) | 19.1369 | − | 1.86263i | 0.685211 | − | 0.0666928i | ||||
\(781\) | −6.88326 | + | 22.6911i | −0.246302 | + | 0.811950i | ||||
\(782\) | 3.18023 | + | 16.0362i | 0.113725 | + | 0.573454i | ||||
\(783\) | 2.94457 | − | 7.10883i | 0.105230 | − | 0.254049i | ||||
\(784\) | 29.6431 | − | 71.1024i | 1.05868 | − | 2.53937i | ||||
\(785\) | 26.3644 | + | 63.6494i | 0.940987 | + | 2.27174i | ||||
\(786\) | 5.56273 | − | 3.71227i | 0.198416 | − | 0.132412i | ||||
\(787\) | 17.1690 | − | 9.17701i | 0.612008 | − | 0.327125i | −0.136107 | − | 0.990694i | \(-0.543459\pi\) |
0.748115 | + | 0.663569i | \(0.230959\pi\) | |||||||
\(788\) | −3.23092 | − | 1.73174i | −0.115097 | − | 0.0616906i | ||||
\(789\) | 17.7589 | − | 14.5743i | 0.632232 | − | 0.518859i | ||||
\(790\) | −3.06871 | − | 10.1371i | −0.109180 | − | 0.360663i | ||||
\(791\) | −50.4387 | + | 75.4869i | −1.79339 | + | 2.68400i | ||||
\(792\) | 3.36964 | − | 11.0397i | 0.119735 | − | 0.392279i | ||||
\(793\) | 4.87102 | − | 3.25471i | 0.172975 | − | 0.115578i | ||||
\(794\) | −9.34412 | + | 0.914897i | −0.331610 | + | 0.0324685i | ||||
\(795\) | −12.9669 | − | 6.93093i | −0.459887 | − | 0.245815i | ||||
\(796\) | 4.97851 | + | 7.46942i | 0.176458 | + | 0.264747i | ||||
\(797\) | −2.33124 | − | 23.6694i | −0.0825766 | − | 0.838414i | −0.943872 | − | 0.330310i | \(-0.892847\pi\) |
0.861296 | − | 0.508104i | \(-0.169653\pi\) | |||||||
\(798\) | −14.9359 | − | 0.00857873i | −0.528726 | − | 0.000303684i | ||||
\(799\) | −19.6535 | − | 19.6535i | −0.695293 | − | 0.695293i | ||||
\(800\) | −33.1009 | + | 49.2323i | −1.17029 | + | 1.74063i | ||||
\(801\) | −9.22663 | + | 9.22663i | −0.326007 | + | 0.326007i | ||||
\(802\) | −21.1645 | + | 21.1402i | −0.747345 | + | 0.746487i | ||||
\(803\) | −15.7487 | + | 1.55111i | −0.555760 | + | 0.0547376i | ||||
\(804\) | 14.5320 | − | 21.6946i | 0.512503 | − | 0.765111i | ||||
\(805\) | −35.5678 | + | 66.5427i | −1.25360 | + | 2.34532i | ||||
\(806\) | 4.96573 | + | 4.08005i | 0.174911 | + | 0.143714i | ||||
\(807\) | −1.86165 | − | 2.78616i | −0.0655333 | − | 0.0980775i | ||||
\(808\) | −9.27693 | − | 11.3438i | −0.326361 | − | 0.399072i | ||||
\(809\) | −18.2852 | − | 12.2178i | −0.642872 | − | 0.429554i | 0.190940 | − | 0.981602i | \(-0.438846\pi\) |
−0.833812 | + | 0.552048i | \(0.813846\pi\) | |||||||
\(810\) | −4.90682 | − | 2.62637i | −0.172408 | − | 0.0922813i | ||||
\(811\) | −22.8863 | − | 27.8871i | −0.803648 | − | 0.979248i | 0.196351 | − | 0.980534i | \(-0.437091\pi\) |
−0.999999 | + | 0.00128601i | \(0.999591\pi\) | |||||||
\(812\) | −49.9572 | − | 61.0158i | −1.75315 | − | 2.14124i | ||||
\(813\) | −2.73457 | − | 5.11601i | −0.0959054 | − | 0.179426i | ||||
\(814\) | −12.0397 | − | 2.40203i | −0.421990 | − | 0.0841909i | ||||
\(815\) | −48.0553 | + | 19.9052i | −1.68330 | + | 0.697247i | ||||
\(816\) | −3.61473 | + | 11.8184i | −0.126541 | + | 0.413726i | ||||
\(817\) | 12.2209 | + | 5.06204i | 0.427554 | + | 0.177098i | ||||
\(818\) | −7.26436 | − | 4.85993i | −0.253992 | − | 0.169923i | ||||
\(819\) | 11.9790 | + | 3.63380i | 0.418581 | + | 0.126975i | ||||
\(820\) | −3.89063 | + | 2.07384i | −0.135867 | + | 0.0724217i | ||||
\(821\) | −0.797574 | + | 8.09791i | −0.0278355 | + | 0.282619i | 0.971183 | + | 0.238333i | \(0.0766011\pi\) |
−0.999019 | + | 0.0442855i | \(0.985899\pi\) | |||||||
\(822\) | 1.55967 | − | 15.7429i | 0.0543998 | − | 0.549097i | ||||
\(823\) | 9.58365 | − | 1.90631i | 0.334065 | − | 0.0664497i | −0.0252078 | − | 0.999682i | \(-0.508025\pi\) |
0.359273 | + | 0.933233i | \(0.383025\pi\) | |||||||
\(824\) | −45.1517 | + | 8.90037i | −1.57293 | + | 0.310059i | ||||
\(825\) | 8.34942 | − | 41.9754i | 0.290690 | − | 1.46140i | ||||
\(826\) | 13.6736 | − | 7.29862i | 0.475767 | − | 0.253952i | ||||
\(827\) | −1.09706 | − | 3.61654i | −0.0381487 | − | 0.125759i | 0.935798 | − | 0.352537i | \(-0.114681\pi\) |
−0.973947 | + | 0.226778i | \(0.927181\pi\) | |||||||
\(828\) | 6.91669 | − | 2.85568i | 0.240372 | − | 0.0992419i | ||||
\(829\) | 25.3652 | + | 20.8167i | 0.880971 | + | 0.722994i | 0.961806 | − | 0.273734i | \(-0.0882586\pi\) |
−0.0808349 | + | 0.996728i | \(0.525759\pi\) | |||||||
\(830\) | 8.86164 | − | 21.3592i | 0.307592 | − | 0.741388i | ||||
\(831\) | 3.54937i | 0.123126i | ||||||||
\(832\) | −17.2670 | + | 9.15305i | −0.598626 | + | 0.317325i | ||||
\(833\) | − | 59.5032i | − | 2.06166i | ||||||
\(834\) | 15.6570 | + | 6.49589i | 0.542159 | + | 0.224934i | ||||
\(835\) | −16.3105 | − | 13.3857i | −0.564447 | − | 0.463230i | ||||
\(836\) | −6.45520 | + | 15.5337i | −0.223258 | + | 0.537245i | ||||
\(837\) | −0.540022 | − | 1.78021i | −0.0186659 | − | 0.0615331i | ||||
\(838\) | −10.2806 | − | 19.2602i | −0.355136 | − | 0.665332i | ||||
\(839\) | −9.12470 | + | 45.8729i | −0.315020 | + | 1.58371i | 0.421200 | + | 0.906968i | \(0.361609\pi\) |
−0.736220 | + | 0.676742i | \(0.763391\pi\) | |||||||
\(840\) | −47.4804 | + | 31.6072i | −1.63823 | + | 1.09055i | ||||
\(841\) | −29.6256 | + | 5.89290i | −1.02157 | + | 0.203203i | ||||
\(842\) | −36.5808 | − | 3.62411i | −1.26066 | − | 0.124895i | ||||
\(843\) | 1.24629 | − | 12.6538i | 0.0429245 | − | 0.435820i | ||||
\(844\) | 19.9018 | + | 6.06212i | 0.685048 | + | 0.208667i | ||||
\(845\) | −26.4835 | − | 8.03367i | −0.911059 | − | 0.276367i | ||||
\(846\) | −7.07402 | + | 10.5739i | −0.243210 | + | 0.363537i | ||||
\(847\) | 26.7661 | + | 11.0869i | 0.919694 | + | 0.380950i | ||||
\(848\) | 14.8690 | + | 1.49897i | 0.510603 | + | 0.0514747i | ||||
\(849\) | −5.51510 | + | 2.28443i | −0.189278 | + | 0.0784015i | ||||
\(850\) | −8.96571 | + | 44.9387i | −0.307521 | + | 1.54139i | ||||
\(851\) | −3.75191 | − | 7.01933i | −0.128614 | − | 0.240620i | ||||
\(852\) | −11.5638 | − | 1.15234i | −0.396168 | − | 0.0394787i | ||||
\(853\) | −0.497593 | − | 0.606319i | −0.0170373 | − | 0.0207600i | 0.764422 | − | 0.644716i | \(-0.223024\pi\) |
−0.781459 | + | 0.623956i | \(0.785524\pi\) | |||||||
\(854\) | −8.20117 | + | 15.3221i | −0.280638 | + | 0.524313i | ||||
\(855\) | 6.74398 | + | 4.50618i | 0.230639 | + | 0.154108i | ||||
\(856\) | 46.9727 | − | 14.1607i | 1.60549 | − | 0.484002i | ||||
\(857\) | 1.21368 | + | 1.81641i | 0.0414586 | + | 0.0620472i | 0.851620 | − | 0.524160i | \(-0.175621\pi\) |
−0.810161 | + | 0.586207i | \(0.800621\pi\) | |||||||
\(858\) | 8.95022 | − | 10.8931i | 0.305556 | − | 0.371885i | ||||
\(859\) | 1.00897 | − | 1.88765i | 0.0344256 | − | 0.0644057i | −0.864120 | − | 0.503285i | \(-0.832125\pi\) |
0.898546 | + | 0.438880i | \(0.144625\pi\) | |||||||
\(860\) | 49.5560 | − | 9.79813i | 1.68984 | − | 0.334113i | ||||
\(861\) | −2.85657 | + | 0.281347i | −0.0973515 | + | 0.00958829i | ||||
\(862\) | 34.9129 | + | 34.9530i | 1.18914 | + | 1.19050i | ||||
\(863\) | 19.1684 | − | 19.1684i | 0.652501 | − | 0.652501i | −0.301093 | − | 0.953595i | \(-0.597352\pi\) |
0.953595 | + | 0.301093i | \(0.0973516\pi\) | |||||||
\(864\) | 5.62800 | + | 0.570634i | 0.191468 | + | 0.0194134i | ||||
\(865\) | 31.2495 | + | 31.2495i | 1.06252 | + | 1.06252i | ||||
\(866\) | 0.0206323 | − | 35.9216i | 0.000701113 | − | 1.22067i | ||||
\(867\) | −0.730594 | − | 7.41785i | −0.0248123 | − | 0.251923i | ||||
\(868\) | −18.6951 | − | 3.74101i | −0.634552 | − | 0.126978i | ||||
\(869\) | −6.84915 | − | 3.66094i | −0.232341 | − | 0.124189i | ||||
\(870\) | 4.17300 | + | 42.6201i | 0.141478 | + | 1.44496i | ||||
\(871\) | 26.5190 | − | 17.7194i | 0.898562 | − | 0.600400i | ||||
\(872\) | −25.8844 | + | 2.50436i | −0.876557 | + | 0.0848085i | ||||
\(873\) | −5.72601 | + | 8.56958i | −0.193796 | + | 0.290036i | ||||
\(874\) | −10.4377 | + | 3.15969i | −0.353060 | + | 0.106878i | ||||
\(875\) | −85.5403 | + | 70.2011i | −2.89179 | + | 2.37323i | ||||
\(876\) | −2.24281 | − | 7.42423i | −0.0757774 | − | 0.250842i | ||||
\(877\) | 20.1868 | − | 10.7901i | 0.681660 | − | 0.364355i | −0.0939412 | − | 0.995578i | \(-0.529947\pi\) |
0.775602 | + | 0.631223i | \(0.217447\pi\) | |||||||
\(878\) | 24.4035 | + | 36.5679i | 0.823578 | + | 1.23411i | ||||
\(879\) | 8.19515 | + | 19.7848i | 0.276416 | + | 0.667326i | ||||
\(880\) | 12.3878 | + | 63.0340i | 0.417592 | + | 2.12488i | ||||
\(881\) | 8.20570 | − | 19.8103i | 0.276457 | − | 0.667427i | −0.723275 | − | 0.690560i | \(-0.757364\pi\) |
0.999732 | + | 0.0231332i | \(0.00736419\pi\) | |||||||
\(882\) | −26.7154 | + | 5.29808i | −0.899555 | + | 0.178396i | ||||
\(883\) | −2.85403 | + | 9.40849i | −0.0960459 | + | 0.316621i | −0.991777 | − | 0.127974i | \(-0.959152\pi\) |
0.895732 | + | 0.444595i | \(0.146652\pi\) | |||||||
\(884\) | −9.58988 | + | 11.6580i | −0.322543 | + | 0.392100i | ||||
\(885\) | −8.37651 | − | 0.825014i | −0.281573 | − | 0.0277325i | ||||
\(886\) | 29.6510 | − | 24.3054i | 0.996144 | − | 0.816557i | ||||
\(887\) | 1.86280 | + | 9.36495i | 0.0625468 | + | 0.314444i | 0.999375 | − | 0.0353453i | \(-0.0112531\pi\) |
−0.936828 | + | 0.349789i | \(0.886253\pi\) | |||||||
\(888\) | 0.0103675 | − | 6.01677i | 0.000347912 | − | 0.201910i | ||||
\(889\) | 25.2006 | + | 5.01270i | 0.845200 | + | 0.168121i | ||||
\(890\) | 21.1206 | − | 69.4817i | 0.707965 | − | 2.32903i | ||||
\(891\) | −3.90518 | + | 1.18462i | −0.130828 | + | 0.0396863i | ||||
\(892\) | 0.0210060 | − | 18.2861i | 0.000703332 | − | 0.612265i | ||||
\(893\) | 11.7620 | − | 14.3320i | 0.393599 | − | 0.479602i | ||||
\(894\) | 4.42149 | − | 1.82847i | 0.147877 | − | 0.0611531i | ||||
\(895\) | 44.0198 | 1.47142 | ||||||||
\(896\) | 32.4027 | − | 48.0745i | 1.08250 | − | 1.60606i | ||||
\(897\) | 9.14004 | 0.305177 | ||||||||
\(898\) | 40.1388 | − | 16.5990i | 1.33945 | − | 0.553917i | ||||
\(899\) | −9.08089 | + | 11.0651i | −0.302865 | + | 0.369042i | ||||
\(900\) | 20.9747 | + | 0.0240944i | 0.699155 | + | 0.000803146i | ||||
\(901\) | 11.0463 | − | 3.35087i | 0.368007 | − | 0.111634i | ||||
\(902\) | −0.940202 | + | 3.09304i | −0.0313053 | + | 0.102987i | ||||
\(903\) | 32.2563 | + | 6.41617i | 1.07342 | + | 0.213517i | ||||
\(904\) | −35.4950 | + | 35.3728i | −1.18054 | + | 1.17648i | ||||
\(905\) | 11.1299 | + | 55.9538i | 0.369971 | + | 1.85997i | ||||
\(906\) | 7.64531 | − | 6.26700i | 0.253998 | − | 0.208207i | ||||
\(907\) | 28.3788 | + | 2.79507i | 0.942302 | + | 0.0928087i | 0.557488 | − | 0.830185i | \(-0.311765\pi\) |
0.384815 | + | 0.922994i | \(0.374265\pi\) | |||||||
\(908\) | −10.3521 | − | 8.51565i | −0.343546 | − | 0.282602i | ||||
\(909\) | −1.50397 | + | 4.95791i | −0.0498834 | + | 0.164444i | ||||
\(910\) | −68.3381 | + | 13.5525i | −2.26539 | + | 0.449261i | ||||
\(911\) | −3.76912 | + | 9.09946i | −0.124877 | + | 0.301479i | −0.973938 | − | 0.226816i | \(-0.927168\pi\) |
0.849061 | + | 0.528295i | \(0.177168\pi\) | |||||||
\(912\) | −8.08194 | − | 1.62691i | −0.267620 | − | 0.0538724i | ||||
\(913\) | −6.48880 | − | 15.6654i | −0.214748 | − | 0.518448i | ||||
\(914\) | 27.9942 | + | 41.9484i | 0.925965 | + | 1.38753i | ||||
\(915\) | 8.32321 | − | 4.44885i | 0.275157 | − | 0.147074i | ||||
\(916\) | 20.3764 | − | 6.15555i | 0.673254 | − | 0.203385i | ||||
\(917\) | −18.7318 | + | 15.3728i | −0.618580 | + | 0.507655i | ||||
\(918\) | 4.18208 | − | 1.26600i | 0.138029 | − | 0.0417841i | ||||
\(919\) | 13.7688 | − | 20.6065i | 0.454192 | − | 0.679747i | −0.531737 | − | 0.846909i | \(-0.678461\pi\) |
0.985929 | + | 0.167163i | \(0.0534606\pi\) | |||||||
\(920\) | −26.4758 | + | 32.1477i | −0.872881 | + | 1.05988i | ||||
\(921\) | −6.43128 | + | 4.29724i | −0.211918 | + | 0.141599i | ||||
\(922\) | 5.14172 | + | 52.5140i | 0.169334 | + | 1.72946i | ||||
\(923\) | −12.5183 | − | 6.69117i | −0.412045 | − | 0.220243i | ||||
\(924\) | −8.20649 | + | 41.0105i | −0.269974 | + | 1.34915i | ||||
\(925\) | −2.18668 | − | 22.2018i | −0.0718978 | − | 0.729990i | ||||
\(926\) | −0.00942858 | + | 16.4155i | −0.000309842 | + | 0.539448i | ||||
\(927\) | 11.5051 | + | 11.5051i | 0.377878 | + | 0.377878i | ||||
\(928\) | −20.4081 | − | 38.4461i | −0.669929 | − | 1.26205i | ||||
\(929\) | 6.19209 | − | 6.19209i | 0.203156 | − | 0.203156i | −0.598195 | − | 0.801351i | \(-0.704115\pi\) |
0.801351 | + | 0.598195i | \(0.204115\pi\) | |||||||
\(930\) | 7.31688 | + | 7.32529i | 0.239930 | + | 0.240206i | ||||
\(931\) | 39.5011 | − | 3.89052i | 1.29460 | − | 0.127507i | ||||
\(932\) | −1.44053 | − | 7.28576i | −0.0471861 | − | 0.238653i | ||||
\(933\) | −7.23336 | + | 13.5327i | −0.236810 | + | 0.443040i | ||||
\(934\) | 6.75862 | − | 8.22576i | 0.221149 | − | 0.269155i | ||||
\(935\) | 27.5676 | + | 41.2579i | 0.901558 | + | 1.34928i | ||||
\(936\) | 6.08800 | + | 3.26761i | 0.198993 | + | 0.106805i | ||||
\(937\) | −16.0930 | − | 10.7530i | −0.525736 | − | 0.351286i | 0.264207 | − | 0.964466i | \(-0.414890\pi\) |
−0.789943 | + | 0.613180i | \(0.789890\pi\) | |||||||
\(938\) | −44.6491 | + | 83.4174i | −1.45785 | + | 2.72367i | ||||
\(939\) | 14.0869 | + | 17.1649i | 0.459709 | + | 0.560157i | ||||
\(940\) | 7.02094 | − | 70.4550i | 0.228998 | − | 2.29799i | ||||
\(941\) | −11.1492 | − | 20.8586i | −0.363453 | − | 0.679972i | 0.632027 | − | 0.774946i | \(-0.282223\pi\) |
−0.995480 | + | 0.0949741i | \(0.969723\pi\) | |||||||
\(942\) | −4.84388 | + | 24.2789i | −0.157822 | + | 0.791051i | ||||
\(943\) | −1.93628 | + | 0.802032i | −0.0630538 | + | 0.0261178i | ||||
\(944\) | 8.19251 | − | 2.46463i | 0.266644 | − | 0.0802169i | ||||
\(945\) | 18.6311 | + | 7.71726i | 0.606071 | + | 0.251043i | ||||
\(946\) | 20.5962 | − | 30.7861i | 0.669641 | − | 1.00094i | ||||
\(947\) | 26.3986 | + | 8.00791i | 0.857838 | + | 0.260222i | 0.688411 | − | 0.725321i | \(-0.258308\pi\) |
0.169426 | + | 0.985543i | \(0.445808\pi\) | |||||||
\(948\) | 1.10904 | − | 3.64095i | 0.0360199 | − | 0.118252i | ||||
\(949\) | 0.928514 | − | 9.42736i | 0.0301408 | − | 0.306025i | ||||
\(950\) | −30.4187 | − | 3.01362i | −0.986913 | − | 0.0977749i | ||||
\(951\) | −3.05508 | + | 0.607692i | −0.0990676 | + | 0.0197058i | ||||
\(952\) | 8.81207 | − | 43.9057i | 0.285601 | − | 1.42299i | ||||
\(953\) | 10.8210 | − | 54.4010i | 0.350527 | − | 1.76222i | −0.255532 | − | 0.966801i | \(-0.582251\pi\) |
0.606059 | − | 0.795419i | \(-0.292749\pi\) | |||||||
\(954\) | −2.48801 | − | 4.66117i | −0.0805521 | − | 0.150911i | ||||
\(955\) | −5.31353 | − | 17.5164i | −0.171942 | − | 0.566816i | ||||
\(956\) | 55.2687 | + | 22.9675i | 1.78752 | + | 0.742821i | ||||
\(957\) | 24.2730 | + | 19.9204i | 0.784635 | + | 0.643934i | ||||
\(958\) | −12.9508 | − | 5.37310i | −0.418420 | − | 0.173597i | ||||
\(959\) | 57.3226i | 1.85104i | ||||||||
\(960\) | −29.1280 | + | 11.9478i | −0.940102 | + | 0.385613i | ||||
\(961\) | − | 27.5392i | − | 0.888362i | ||||||
\(962\) | 2.81628 | − | 6.78808i | 0.0908006 | − | 0.218856i | ||||
\(963\) | −13.4083 | − | 11.0039i | −0.432077 | − | 0.354597i | ||||
\(964\) | −4.37802 | − | 10.6039i | −0.141007 | − | 0.341529i | ||||
\(965\) | 22.4051 | + | 73.8597i | 0.721246 | + | 2.37763i | ||||
\(966\) | −23.9200 | + | 12.7678i | −0.769612 | + | 0.410798i | ||||
\(967\) | −10.8993 | + | 54.7945i | −0.350498 | + | 1.76207i | 0.255699 | + | 0.966756i | \(0.417694\pi\) |
−0.606197 | + | 0.795315i | \(0.707306\pi\) | |||||||
\(968\) | 13.2808 | + | 8.90710i | 0.426862 | + | 0.286285i | ||||
\(969\) | −6.24557 | + | 1.24232i | −0.200637 | + | 0.0399091i | ||||
\(970\) | 5.65515 | − | 57.0815i | 0.181576 | − | 1.83278i | ||||
\(971\) | 1.38351 | − | 14.0470i | 0.0443988 | − | 0.450788i | −0.947125 | − | 0.320864i | \(-0.896027\pi\) |
0.991524 | − | 0.129924i | \(-0.0414734\pi\) | |||||||
\(972\) | −0.940767 | − | 1.76492i | −0.0301751 | − | 0.0566100i | ||||
\(973\) | −58.7764 | − | 17.8296i | −1.88428 | − | 0.571591i | ||||
\(974\) | −0.169322 | − | 0.113278i | −0.00542544 | − | 0.00362967i | ||||
\(975\) | 23.6691 | + | 9.80406i | 0.758017 | + | 0.313981i | ||||
\(976\) | −6.10245 | + | 7.40111i | −0.195335 | + | 0.236904i | ||||
\(977\) | 2.63894 | − | 1.09309i | 0.0844272 | − | 0.0349709i | −0.340070 | − | 0.940400i | \(-0.610451\pi\) |
0.424497 | + | 0.905429i | \(0.360451\pi\) | |||||||
\(978\) | −18.3306 | − | 3.65713i | −0.586148 | − | 0.116942i | ||||
\(979\) | −25.1015 | − | 46.9617i | −0.802248 | − | 1.50090i | ||||
\(980\) | 117.283 | − | 96.0267i | 3.74648 | − | 3.06746i | ||||
\(981\) | 5.83277 | + | 7.10725i | 0.186226 | + | 0.226917i | ||||
\(982\) | 31.9533 | + | 17.1030i | 1.01967 | + | 0.545779i | ||||
\(983\) | −32.1409 | − | 21.4759i | −1.02514 | − | 0.684974i | −0.0751196 | − | 0.997175i | \(-0.523934\pi\) |
−0.950016 | + | 0.312201i | \(0.898934\pi\) | |||||||
\(984\) | −1.57645 | − | 0.158010i | −0.0502553 | − | 0.00503717i | ||||
\(985\) | −4.00738 | − | 5.99747i | −0.127686 | − | 0.191095i | ||||
\(986\) | −25.9774 | − | 21.3440i | −0.827288 | − | 0.679733i | ||||
\(987\) | 21.7301 | − | 40.6541i | 0.691676 | − | 1.29403i | ||||
\(988\) | −8.36614 | − | 5.60399i | −0.266162 | − | 0.178287i | ||||
\(989\) | 23.8977 | − | 2.35371i | 0.759901 | − | 0.0748437i | ||||
\(990\) | 16.0692 | − | 16.0507i | 0.510712 | − | 0.510125i | ||||
\(991\) | 7.19034 | − | 7.19034i | 0.228409 | − | 0.228409i | −0.583619 | − | 0.812028i | \(-0.698364\pi\) |
0.812028 | + | 0.583619i | \(0.198364\pi\) | |||||||
\(992\) | −9.71088 | − | 4.05509i | −0.308321 | − | 0.128749i | ||||
\(993\) | −4.49482 | − | 4.49482i | −0.142639 | − | 0.142639i | ||||
\(994\) | 42.1080 | + | 0.0241855i | 1.33559 | + | 0.000767119i | ||||
\(995\) | 1.73128 | + | 17.5780i | 0.0548854 | + | 0.557260i | ||||
\(996\) | 6.91478 | − | 4.60883i | 0.219103 | − | 0.146036i | ||||
\(997\) | −41.3591 | − | 22.1069i | −1.30986 | − | 0.700133i | −0.339225 | − | 0.940705i | \(-0.610165\pi\) |
−0.970631 | + | 0.240573i | \(0.922665\pi\) | |||||||
\(998\) | 29.2541 | − | 2.86431i | 0.926021 | − | 0.0906681i | ||||
\(999\) | −1.76875 | + | 1.18184i | −0.0559606 | + | 0.0373917i |
(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 | 384.2.v.a.85.13 | ✓ | 512 | |
128.125 | even | 32 | inner | 384.2.v.a.253.13 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.85.13 | ✓ | 512 | 1.1 | even | 1 | trivial | |
384.2.v.a.253.13 | yes | 512 | 128.125 | even | 32 | inner |