Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [59,2,Mod(3,59)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(59, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([50]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("59.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 59.c (of order \(29\), degree \(28\), 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: | \(0.471117371926\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 4.3 | ||
Character | \(\chi\) | \(=\) | 59.4 |
Dual form | 59.2.c.a.15.3 |
$q$-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 \(\left(\mathbb{Z}/59\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{29}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.670646 | + | 0.0729372i | 0.474219 | + | 0.0515744i | 0.342108 | − | 0.939661i | \(-0.388859\pi\) |
0.132110 | + | 0.991235i | \(0.457825\pi\) | |||||||
\(3\) | 0.865386 | − | 1.01881i | 0.499631 | − | 0.588211i | −0.453315 | − | 0.891350i | \(-0.649759\pi\) |
0.952946 | + | 0.303139i | \(0.0980347\pi\) | |||||||
\(4\) | −1.50879 | − | 0.332111i | −0.754397 | − | 0.166055i | ||||
\(5\) | 0.331060 | + | 0.251665i | 0.148055 | + | 0.112548i | 0.676579 | − | 0.736370i | \(-0.263462\pi\) |
−0.528525 | + | 0.848918i | \(0.677255\pi\) | |||||||
\(6\) | 0.654677 | − | 0.620143i | 0.267271 | − | 0.253172i | ||||
\(7\) | −0.928345 | + | 2.32997i | −0.350881 | + | 0.880646i | 0.642553 | + | 0.766241i | \(0.277875\pi\) |
−0.993434 | + | 0.114405i | \(0.963504\pi\) | |||||||
\(8\) | −2.26622 | − | 0.763578i | −0.801230 | − | 0.269966i | ||||
\(9\) | 0.196262 | + | 1.19715i | 0.0654208 | + | 0.399049i | ||||
\(10\) | 0.203668 | + | 0.192925i | 0.0644056 | + | 0.0610082i | ||||
\(11\) | −0.551218 | + | 0.255021i | −0.166199 | + | 0.0768917i | −0.501225 | − | 0.865317i | \(-0.667117\pi\) |
0.335026 | + | 0.942209i | \(0.391255\pi\) | |||||||
\(12\) | −1.64405 | + | 1.24977i | −0.474596 | + | 0.360778i | ||||
\(13\) | 0.568579 | − | 3.46818i | 0.157695 | − | 0.961900i | −0.782845 | − | 0.622217i | \(-0.786232\pi\) |
0.940540 | − | 0.339683i | \(-0.110320\pi\) | |||||||
\(14\) | −0.792533 | + | 1.49488i | −0.211813 | + | 0.399522i | ||||
\(15\) | 0.542894 | − | 0.119500i | 0.140175 | − | 0.0308548i | ||||
\(16\) | 1.34011 | + | 0.620002i | 0.335028 | + | 0.155001i | ||||
\(17\) | −0.0439170 | − | 0.110223i | −0.0106514 | − | 0.0267331i | 0.923555 | − | 0.383466i | \(-0.125270\pi\) |
−0.934206 | + | 0.356733i | \(0.883890\pi\) | |||||||
\(18\) | 0.0443061 | + | 0.817178i | 0.0104430 | + | 0.192611i | ||||
\(19\) | −3.52708 | − | 5.20206i | −0.809168 | − | 1.19343i | −0.978168 | − | 0.207818i | \(-0.933364\pi\) |
0.168999 | − | 0.985616i | \(-0.445946\pi\) | |||||||
\(20\) | −0.415921 | − | 0.489660i | −0.0930027 | − | 0.109491i | ||||
\(21\) | 1.57042 | + | 2.96213i | 0.342695 | + | 0.646391i | ||||
\(22\) | −0.388273 | + | 0.130824i | −0.0827801 | + | 0.0278919i | ||||
\(23\) | −0.233431 | + | 4.30537i | −0.0486736 | + | 0.897732i | 0.867621 | + | 0.497227i | \(0.165648\pi\) |
−0.916294 | + | 0.400506i | \(0.868834\pi\) | |||||||
\(24\) | −2.73910 | + | 1.64806i | −0.559116 | + | 0.336409i | ||||
\(25\) | −1.29138 | − | 4.65112i | −0.258275 | − | 0.930223i | ||||
\(26\) | 0.634275 | − | 2.28445i | 0.124392 | − | 0.448018i | ||||
\(27\) | 4.82569 | + | 2.90352i | 0.928705 | + | 0.558783i | ||||
\(28\) | 2.17449 | − | 3.20713i | 0.410940 | − | 0.606091i | ||||
\(29\) | 7.91458 | − | 0.860763i | 1.46970 | − | 0.159840i | 0.662032 | − | 0.749476i | \(-0.269694\pi\) |
0.807669 | + | 0.589636i | \(0.200729\pi\) | |||||||
\(30\) | 0.372806 | − | 0.0405451i | 0.0680648 | − | 0.00740249i | ||||
\(31\) | −1.03526 | + | 1.52689i | −0.185937 | + | 0.274237i | −0.909221 | − | 0.416314i | \(-0.863322\pi\) |
0.723283 | + | 0.690551i | \(0.242632\pi\) | |||||||
\(32\) | 4.95170 | + | 2.97934i | 0.875345 | + | 0.526678i | ||||
\(33\) | −0.217199 | + | 0.782279i | −0.0378095 | + | 0.136177i | ||||
\(34\) | −0.0214134 | − | 0.0771241i | −0.00367237 | − | 0.0132267i | ||||
\(35\) | −0.893711 | + | 0.537728i | −0.151065 | + | 0.0908926i | ||||
\(36\) | 0.101466 | − | 1.87143i | 0.0169110 | − | 0.311905i | ||||
\(37\) | 2.60938 | − | 0.879204i | 0.428980 | − | 0.144540i | −0.0965252 | − | 0.995331i | \(-0.530773\pi\) |
0.525505 | + | 0.850790i | \(0.323876\pi\) | |||||||
\(38\) | −1.98600 | − | 3.74600i | −0.322172 | − | 0.607681i | ||||
\(39\) | −3.04138 | − | 3.58059i | −0.487011 | − | 0.573353i | ||||
\(40\) | −0.558089 | − | 0.823119i | −0.0882416 | − | 0.130147i | ||||
\(41\) | 0.288828 | + | 5.32712i | 0.0451074 | + | 0.831956i | 0.930315 | + | 0.366761i | \(0.119533\pi\) |
−0.885208 | + | 0.465196i | \(0.845984\pi\) | |||||||
\(42\) | 0.837149 | + | 2.10109i | 0.129175 | + | 0.324205i | ||||
\(43\) | −9.32450 | − | 4.31397i | −1.42197 | − | 0.657875i | −0.450013 | − | 0.893022i | \(-0.648581\pi\) |
−0.971960 | + | 0.235147i | \(0.924443\pi\) | |||||||
\(44\) | 0.916370 | − | 0.201708i | 0.138148 | − | 0.0304087i | ||||
\(45\) | −0.236306 | + | 0.445720i | −0.0352264 | + | 0.0664441i | ||||
\(46\) | −0.470571 | + | 2.87036i | −0.0693819 | + | 0.423211i | ||||
\(47\) | 1.73583 | − | 1.31954i | 0.253197 | − | 0.192475i | −0.470875 | − | 0.882200i | \(-0.656062\pi\) |
0.724072 | + | 0.689725i | \(0.242268\pi\) | |||||||
\(48\) | 1.79138 | − | 0.828781i | 0.258564 | − | 0.119624i | ||||
\(49\) | 0.515030 | + | 0.487862i | 0.0735757 | + | 0.0696946i | ||||
\(50\) | −0.526817 | − | 3.21344i | −0.0745032 | − | 0.454450i | ||||
\(51\) | −0.150302 | − | 0.0506426i | −0.0210465 | − | 0.00709139i | ||||
\(52\) | −2.00969 | + | 5.04394i | −0.278694 | + | 0.699468i | ||||
\(53\) | −8.32319 | + | 7.88414i | −1.14328 | + | 1.08297i | −0.147699 | + | 0.989032i | \(0.547187\pi\) |
−0.995578 | + | 0.0939376i | \(0.970055\pi\) | |||||||
\(54\) | 3.02456 | + | 2.29921i | 0.411590 | + | 0.312883i | ||||
\(55\) | −0.246666 | − | 0.0542954i | −0.0332605 | − | 0.00732118i | ||||
\(56\) | 3.88295 | − | 4.57136i | 0.518881 | − | 0.610874i | ||||
\(57\) | −8.35221 | − | 0.908357i | −1.10628 | − | 0.120315i | ||||
\(58\) | 5.37067 | 0.705203 | ||||||||
\(59\) | −7.64516 | − | 0.742603i | −0.995316 | − | 0.0966787i | ||||
\(60\) | −0.858803 | −0.110871 | ||||||||
\(61\) | 7.26914 | + | 0.790567i | 0.930718 | + | 0.101222i | 0.560901 | − | 0.827883i | \(-0.310455\pi\) |
0.369817 | + | 0.929105i | \(0.379420\pi\) | |||||||
\(62\) | −0.805657 | + | 0.948493i | −0.102319 | + | 0.120459i | ||||
\(63\) | −2.97152 | − | 0.654081i | −0.374376 | − | 0.0824064i | ||||
\(64\) | 0.752535 | + | 0.572062i | 0.0940669 | + | 0.0715078i | ||||
\(65\) | 1.06105 | − | 1.00508i | 0.131608 | − | 0.124665i | ||||
\(66\) | −0.202721 | + | 0.508791i | −0.0249532 | + | 0.0626278i | ||||
\(67\) | −8.23909 | − | 2.77607i | −1.00657 | − | 0.339151i | −0.232732 | − | 0.972541i | \(-0.574767\pi\) |
−0.773833 | + | 0.633390i | \(0.781663\pi\) | |||||||
\(68\) | 0.0296554 | + | 0.180890i | 0.00359624 | + | 0.0219361i | ||||
\(69\) | 4.18436 | + | 3.96363i | 0.503737 | + | 0.477165i | ||||
\(70\) | −0.638584 | + | 0.295441i | −0.0763254 | + | 0.0353119i | ||||
\(71\) | −7.83962 | + | 5.95953i | −0.930392 | + | 0.707266i | −0.956296 | − | 0.292399i | \(-0.905547\pi\) |
0.0259045 | + | 0.999664i | \(0.491753\pi\) | |||||||
\(72\) | 0.469342 | − | 2.86286i | 0.0553125 | − | 0.337392i | ||||
\(73\) | 3.97436 | − | 7.49644i | 0.465164 | − | 0.877392i | −0.534321 | − | 0.845282i | \(-0.679432\pi\) |
0.999484 | − | 0.0321101i | \(-0.0102227\pi\) | |||||||
\(74\) | 1.81410 | − | 0.399314i | 0.210885 | − | 0.0464193i | ||||
\(75\) | −5.85615 | − | 2.70934i | −0.676210 | − | 0.312848i | ||||
\(76\) | 3.59398 | + | 9.02022i | 0.412258 | + | 1.03469i | ||||
\(77\) | −0.0824700 | − | 1.52107i | −0.00939833 | − | 0.173342i | ||||
\(78\) | −1.77853 | − | 2.62314i | −0.201379 | − | 0.297012i | ||||
\(79\) | 5.82798 | + | 6.86122i | 0.655698 | + | 0.771948i | 0.985052 | − | 0.172259i | \(-0.0551066\pi\) |
−0.329353 | + | 0.944207i | \(0.606831\pi\) | |||||||
\(80\) | 0.287625 | + | 0.542518i | 0.0321574 | + | 0.0606554i | ||||
\(81\) | 3.68536 | − | 1.24174i | 0.409484 | − | 0.137971i | ||||
\(82\) | −0.194844 | + | 3.59368i | −0.0215169 | + | 0.396856i | ||||
\(83\) | 13.0446 | − | 7.84865i | 1.43183 | − | 0.861501i | 0.432629 | − | 0.901572i | \(-0.357586\pi\) |
0.999197 | + | 0.0400707i | \(0.0127583\pi\) | |||||||
\(84\) | −1.38569 | − | 4.99081i | −0.151191 | − | 0.544542i | ||||
\(85\) | 0.0132002 | − | 0.0475429i | 0.00143177 | − | 0.00515676i | ||||
\(86\) | −5.93879 | − | 3.57325i | −0.640396 | − | 0.385314i | ||||
\(87\) | 5.97222 | − | 8.80836i | 0.640289 | − | 0.944355i | ||||
\(88\) | 1.44391 | − | 0.157035i | 0.153921 | − | 0.0167400i | ||||
\(89\) | 7.04739 | − | 0.766450i | 0.747022 | − | 0.0812435i | 0.273313 | − | 0.961925i | \(-0.411880\pi\) |
0.473709 | + | 0.880682i | \(0.342915\pi\) | |||||||
\(90\) | −0.190987 | + | 0.281685i | −0.0201318 | + | 0.0296922i | ||||
\(91\) | 7.55292 | + | 4.54444i | 0.791761 | + | 0.476387i | ||||
\(92\) | 1.78206 | − | 6.41840i | 0.185793 | − | 0.669164i | ||||
\(93\) | 0.659715 | + | 2.37608i | 0.0684093 | + | 0.246388i | ||||
\(94\) | 1.26037 | − | 0.758341i | 0.129998 | − | 0.0782169i | ||||
\(95\) | 0.141501 | − | 2.60984i | 0.0145177 | − | 0.267764i | ||||
\(96\) | 7.32052 | − | 2.46657i | 0.747147 | − | 0.251743i | ||||
\(97\) | −0.594592 | − | 1.12152i | −0.0603717 | − | 0.113873i | 0.851490 | − | 0.524371i | \(-0.175700\pi\) |
−0.911861 | + | 0.410498i | \(0.865355\pi\) | |||||||
\(98\) | 0.309820 | + | 0.364748i | 0.0312965 | + | 0.0368451i | ||||
\(99\) | −0.413481 | − | 0.609839i | −0.0415564 | − | 0.0612911i | ||||
\(100\) | 0.403735 | + | 7.44646i | 0.0403735 | + | 0.744646i | ||||
\(101\) | 7.25377 | + | 18.2056i | 0.721777 | + | 1.81152i | 0.567270 | + | 0.823532i | \(0.308000\pi\) |
0.154507 | + | 0.987992i | \(0.450621\pi\) | |||||||
\(102\) | −0.0971058 | − | 0.0449259i | −0.00961490 | − | 0.00444833i | ||||
\(103\) | −5.29482 | + | 1.16548i | −0.521714 | + | 0.114838i | −0.468017 | − | 0.883719i | \(-0.655032\pi\) |
−0.0536970 | + | 0.998557i | \(0.517100\pi\) | |||||||
\(104\) | −3.93675 | + | 7.42550i | −0.386030 | + | 0.728130i | ||||
\(105\) | −0.225562 | + | 1.37587i | −0.0220126 | + | 0.134271i | ||||
\(106\) | −6.15696 | + | 4.68040i | −0.598017 | + | 0.454601i | ||||
\(107\) | 5.81159 | − | 2.68873i | 0.561828 | − | 0.259929i | −0.118356 | − | 0.992971i | \(-0.537762\pi\) |
0.680183 | + | 0.733042i | \(0.261900\pi\) | |||||||
\(108\) | −6.31669 | − | 5.98349i | −0.607824 | − | 0.575761i | ||||
\(109\) | −0.740993 | − | 4.51986i | −0.0709743 | − | 0.432924i | −0.998280 | − | 0.0586200i | \(-0.981330\pi\) |
0.927306 | − | 0.374304i | \(-0.122118\pi\) | |||||||
\(110\) | −0.161466 | − | 0.0544041i | −0.0153951 | − | 0.00518723i | ||||
\(111\) | 1.36238 | − | 3.41932i | 0.129312 | − | 0.324548i | ||||
\(112\) | −2.68867 | + | 2.54685i | −0.254056 | + | 0.240655i | ||||
\(113\) | −16.3893 | − | 12.4588i | −1.54177 | − | 1.17202i | −0.921966 | − | 0.387270i | \(-0.873418\pi\) |
−0.619806 | − | 0.784755i | \(-0.712789\pi\) | |||||||
\(114\) | −5.53512 | − | 1.21837i | −0.518412 | − | 0.114111i | ||||
\(115\) | −1.16079 | + | 1.36659i | −0.108244 | + | 0.127435i | ||||
\(116\) | −12.2273 | − | 1.32980i | −1.13528 | − | 0.123469i | ||||
\(117\) | 4.26352 | 0.394162 | ||||||||
\(118\) | −5.07304 | − | 1.05564i | −0.467011 | − | 0.0971796i | ||||
\(119\) | 0.297587 | 0.0272798 | ||||||||
\(120\) | −1.32157 | − | 0.143729i | −0.120642 | − | 0.0131206i | ||||
\(121\) | −6.88244 | + | 8.10264i | −0.625677 | + | 0.736603i | ||||
\(122\) | 4.81736 | + | 1.06038i | 0.436143 | + | 0.0960024i | ||||
\(123\) | 5.67728 | + | 4.31576i | 0.511903 | + | 0.389139i | ||||
\(124\) | 2.06908 | − | 1.95994i | 0.185809 | − | 0.176008i | ||||
\(125\) | 1.51262 | − | 3.79640i | 0.135293 | − | 0.339560i | ||||
\(126\) | −1.94513 | − | 0.655391i | −0.173286 | − | 0.0583869i | ||||
\(127\) | 0.590797 | + | 3.60370i | 0.0524248 | + | 0.319777i | 1.00000 | 0.000244181i | \(7.77253e-5\pi\) | |
−0.947575 | + | 0.319533i | \(0.896474\pi\) | |||||||
\(128\) | −7.92796 | − | 7.50977i | −0.700740 | − | 0.663776i | ||||
\(129\) | −12.4644 | + | 5.76666i | −1.09743 | + | 0.507726i | ||||
\(130\) | 0.784900 | − | 0.596666i | 0.0688403 | − | 0.0523310i | ||||
\(131\) | −1.24020 | + | 7.56491i | −0.108357 | + | 0.660949i | 0.875667 | + | 0.482915i | \(0.160422\pi\) |
−0.984024 | + | 0.178034i | \(0.943026\pi\) | |||||||
\(132\) | 0.587512 | − | 1.10816i | 0.0511363 | − | 0.0964533i | ||||
\(133\) | 15.3950 | − | 3.38869i | 1.33492 | − | 0.293837i | ||||
\(134\) | −5.32304 | − | 2.46270i | −0.459840 | − | 0.212745i | ||||
\(135\) | 0.866878 | + | 2.17570i | 0.0746090 | + | 0.187254i | ||||
\(136\) | 0.0153614 | + | 0.283324i | 0.00131723 | + | 0.0242949i | ||||
\(137\) | −5.36322 | − | 7.91016i | −0.458211 | − | 0.675811i | 0.526466 | − | 0.850196i | \(-0.323517\pi\) |
−0.984678 | + | 0.174385i | \(0.944206\pi\) | |||||||
\(138\) | 2.51713 | + | 2.96339i | 0.214272 | + | 0.252261i | ||||
\(139\) | 8.73833 | + | 16.4822i | 0.741176 | + | 1.39801i | 0.910947 | + | 0.412522i | \(0.135352\pi\) |
−0.169772 | + | 0.985483i | \(0.554303\pi\) | |||||||
\(140\) | 1.52701 | − | 0.514510i | 0.129056 | − | 0.0434840i | ||||
\(141\) | 0.157797 | − | 2.91040i | 0.0132889 | − | 0.245100i | ||||
\(142\) | −5.69228 | + | 3.42493i | −0.477686 | + | 0.287414i | ||||
\(143\) | 0.571047 | + | 2.05672i | 0.0477533 | + | 0.171992i | ||||
\(144\) | −0.479221 | + | 1.72600i | −0.0399351 | + | 0.143833i | ||||
\(145\) | 2.83683 | + | 1.70686i | 0.235586 | + | 0.141747i | ||||
\(146\) | 3.21216 | − | 4.73758i | 0.265840 | − | 0.392085i | ||||
\(147\) | 0.942740 | − | 0.102529i | 0.0777559 | − | 0.00845646i | ||||
\(148\) | −4.22902 | + | 0.459933i | −0.347623 | + | 0.0378063i | ||||
\(149\) | 9.95866 | − | 14.6879i | 0.815845 | − | 1.20328i | −0.160494 | − | 0.987037i | \(-0.551309\pi\) |
0.976339 | − | 0.216245i | \(-0.0693809\pi\) | |||||||
\(150\) | −3.72979 | − | 2.24414i | −0.304536 | − | 0.183234i | ||||
\(151\) | 3.88692 | − | 13.9994i | 0.316313 | − | 1.13926i | −0.618987 | − | 0.785401i | \(-0.712457\pi\) |
0.935300 | − | 0.353856i | \(-0.115130\pi\) | |||||||
\(152\) | 4.02097 | + | 14.4822i | 0.326143 | + | 1.17466i | ||||
\(153\) | 0.123334 | − | 0.0742079i | 0.00997100 | − | 0.00599935i | ||||
\(154\) | 0.0556343 | − | 1.02612i | 0.00448314 | − | 0.0826867i | ||||
\(155\) | −0.726997 | + | 0.244954i | −0.0583938 | + | 0.0196752i | ||||
\(156\) | 3.39967 | + | 6.41245i | 0.272191 | + | 0.513407i | ||||
\(157\) | −8.58258 | − | 10.1042i | −0.684965 | − | 0.806403i | 0.304294 | − | 0.952578i | \(-0.401579\pi\) |
−0.989259 | + | 0.146176i | \(0.953304\pi\) | |||||||
\(158\) | 3.40807 | + | 5.02653i | 0.271132 | + | 0.399889i | ||||
\(159\) | 0.829682 | + | 15.3026i | 0.0657981 | + | 1.21357i | ||||
\(160\) | 0.889514 | + | 2.23251i | 0.0703222 | + | 0.176496i | ||||
\(161\) | −9.81469 | − | 4.54076i | −0.773506 | − | 0.357862i | ||||
\(162\) | 2.56214 | − | 0.563970i | 0.201301 | − | 0.0443096i | ||||
\(163\) | −2.51531 | + | 4.74438i | −0.197014 | + | 0.371608i | −0.962261 | − | 0.272129i | \(-0.912272\pi\) |
0.765247 | + | 0.643737i | \(0.222617\pi\) | |||||||
\(164\) | 1.33341 | − | 8.13345i | 0.104122 | − | 0.635116i | ||||
\(165\) | −0.268778 | + | 0.204320i | −0.0209244 | + | 0.0159063i | ||||
\(166\) | 9.32074 | − | 4.31223i | 0.723430 | − | 0.334694i | ||||
\(167\) | −3.87366 | − | 3.66932i | −0.299753 | − | 0.283941i | 0.523009 | − | 0.852327i | \(-0.324809\pi\) |
−0.822762 | + | 0.568386i | \(0.807568\pi\) | |||||||
\(168\) | −1.29710 | − | 7.91199i | −0.100074 | − | 0.610423i | ||||
\(169\) | 0.614505 | + | 0.207051i | 0.0472696 | + | 0.0159270i | ||||
\(170\) | 0.0123203 | − | 0.0309217i | 0.000944926 | − | 0.00237159i | ||||
\(171\) | 5.53540 | − | 5.24341i | 0.423303 | − | 0.400974i | ||||
\(172\) | 12.6360 | + | 9.60567i | 0.963489 | + | 0.732425i | ||||
\(173\) | 3.19129 | + | 0.702456i | 0.242629 | + | 0.0534068i | 0.334620 | − | 0.942353i | \(-0.391392\pi\) |
−0.0919908 | + | 0.995760i | \(0.529323\pi\) | |||||||
\(174\) | 4.64770 | − | 5.47170i | 0.352341 | − | 0.414808i | ||||
\(175\) | 12.0358 | + | 1.30897i | 0.909822 | + | 0.0989491i | ||||
\(176\) | −0.896808 | −0.0675995 | ||||||||
\(177\) | −7.37259 | + | 7.14634i | −0.554158 | + | 0.537152i | ||||
\(178\) | 4.78221 | 0.358442 | ||||||||
\(179\) | −0.646032 | − | 0.0702602i | −0.0482867 | − | 0.00525149i | 0.0839438 | − | 0.996470i | \(-0.473248\pi\) |
−0.132230 | + | 0.991219i | \(0.542214\pi\) | |||||||
\(180\) | 0.504566 | − | 0.594021i | 0.0376081 | − | 0.0442757i | ||||
\(181\) | −15.3542 | − | 3.37971i | −1.14127 | − | 0.251212i | −0.396176 | − | 0.918174i | \(-0.629663\pi\) |
−0.745091 | + | 0.666962i | \(0.767594\pi\) | |||||||
\(182\) | 4.73388 | + | 3.59860i | 0.350898 | + | 0.266746i | ||||
\(183\) | 7.09605 | − | 6.72174i | 0.524555 | − | 0.496885i | ||||
\(184\) | 3.81649 | − | 9.57868i | 0.281356 | − | 0.706150i | ||||
\(185\) | 1.08513 | + | 0.365622i | 0.0797802 | + | 0.0268811i | ||||
\(186\) | 0.269131 | + | 1.64163i | 0.0197336 | + | 0.120370i | ||||
\(187\) | 0.0523171 | + | 0.0495574i | 0.00382581 | + | 0.00362400i | ||||
\(188\) | −3.05725 | + | 1.41443i | −0.222973 | + | 0.103158i | ||||
\(189\) | −11.2450 | + | 8.54825i | −0.817956 | + | 0.621794i | ||||
\(190\) | 0.285252 | − | 1.73996i | 0.0206943 | − | 0.126230i | ||||
\(191\) | 9.16877 | − | 17.2941i | 0.663429 | − | 1.25136i | −0.292079 | − | 0.956394i | \(-0.594347\pi\) |
0.955508 | − | 0.294965i | \(-0.0953080\pi\) | |||||||
\(192\) | 1.23406 | − | 0.271637i | 0.0890604 | − | 0.0196037i | ||||
\(193\) | −15.1968 | − | 7.03079i | −1.09389 | − | 0.506087i | −0.211869 | − | 0.977298i | \(-0.567955\pi\) |
−0.882021 | + | 0.471211i | \(0.843817\pi\) | |||||||
\(194\) | −0.316961 | − | 0.795511i | −0.0227564 | − | 0.0571144i | ||||
\(195\) | −0.105769 | − | 1.95080i | −0.00757430 | − | 0.139700i | ||||
\(196\) | −0.615050 | − | 0.907131i | −0.0439321 | − | 0.0647951i | ||||
\(197\) | 6.66937 | + | 7.85179i | 0.475173 | + | 0.559417i | 0.946568 | − | 0.322506i | \(-0.104525\pi\) |
−0.471395 | + | 0.881922i | \(0.656249\pi\) | |||||||
\(198\) | −0.232820 | − | 0.439144i | −0.0165458 | − | 0.0312086i | ||||
\(199\) | 11.2078 | − | 3.77635i | 0.794500 | − | 0.267698i | 0.107357 | − | 0.994221i | \(-0.465761\pi\) |
0.687143 | + | 0.726522i | \(0.258865\pi\) | |||||||
\(200\) | −0.624950 | + | 11.5265i | −0.0441906 | + | 0.815048i | ||||
\(201\) | −9.95829 | + | 5.99171i | −0.702404 | + | 0.422622i | ||||
\(202\) | 3.53685 | + | 12.7386i | 0.248852 | + | 0.896283i | ||||
\(203\) | −5.34191 | + | 19.2398i | −0.374929 | + | 1.35037i | ||||
\(204\) | 0.209956 | + | 0.126326i | 0.0146999 | + | 0.00884461i | ||||
\(205\) | −1.24503 | + | 1.83628i | −0.0869568 | + | 0.128252i | ||||
\(206\) | −3.63596 | + | 0.395434i | −0.253329 | + | 0.0275512i | ||||
\(207\) | −5.19998 | + | 0.565532i | −0.361424 | + | 0.0393072i | ||||
\(208\) | 2.91224 | − | 4.29523i | 0.201927 | − | 0.297821i | ||||
\(209\) | 3.27083 | + | 1.96799i | 0.226248 | + | 0.136129i | ||||
\(210\) | −0.251624 | + | 0.906267i | −0.0173637 | + | 0.0625384i | ||||
\(211\) | 0.612996 | + | 2.20781i | 0.0422004 | + | 0.151992i | 0.981649 | − | 0.190699i | \(-0.0610754\pi\) |
−0.939448 | + | 0.342691i | \(0.888662\pi\) | |||||||
\(212\) | 15.1764 | − | 9.13133i | 1.04232 | − | 0.627142i | ||||
\(213\) | −0.712668 | + | 13.1444i | −0.0488312 | + | 0.900639i | ||||
\(214\) | 4.09363 | − | 1.37930i | 0.279835 | − | 0.0942873i | ||||
\(215\) | −2.00129 | − | 3.77484i | −0.136487 | − | 0.257442i | ||||
\(216\) | −8.71901 | − | 10.2648i | −0.593254 | − | 0.698432i | ||||
\(217\) | −2.59653 | − | 3.82960i | −0.176264 | − | 0.259970i | ||||
\(218\) | −0.167279 | − | 3.08527i | −0.0113295 | − | 0.208961i | ||||
\(219\) | −4.19810 | − | 10.5364i | −0.283681 | − | 0.711987i | ||||
\(220\) | 0.354137 | + | 0.163841i | 0.0238759 | + | 0.0110462i | ||||
\(221\) | −0.407245 | + | 0.0896413i | −0.0273942 | + | 0.00602993i | ||||
\(222\) | 1.16307 | − | 2.19379i | 0.0780603 | − | 0.147237i | ||||
\(223\) | −1.86529 | + | 11.3778i | −0.124909 | + | 0.761912i | 0.847875 | + | 0.530197i | \(0.177882\pi\) |
−0.972784 | + | 0.231715i | \(0.925566\pi\) | |||||||
\(224\) | −11.5387 | + | 8.77146i | −0.770959 | + | 0.586068i | ||||
\(225\) | 5.31463 | − | 2.45881i | 0.354309 | − | 0.163921i | ||||
\(226\) | −10.0827 | − | 9.55083i | −0.670691 | − | 0.635312i | ||||
\(227\) | −2.91545 | − | 17.7835i | −0.193506 | − | 1.18033i | −0.887658 | − | 0.460503i | \(-0.847669\pi\) |
0.694152 | − | 0.719828i | \(-0.255779\pi\) | |||||||
\(228\) | 12.3001 | + | 4.14438i | 0.814593 | + | 0.274468i | ||||
\(229\) | 0.565931 | − | 1.42038i | 0.0373978 | − | 0.0938614i | −0.909092 | − | 0.416596i | \(-0.863223\pi\) |
0.946489 | + | 0.322735i | \(0.104602\pi\) | |||||||
\(230\) | −0.878157 | + | 0.831834i | −0.0579039 | + | 0.0548495i | ||||
\(231\) | −1.62105 | − | 1.23229i | −0.106657 | − | 0.0810789i | ||||
\(232\) | −18.5934 | − | 4.09273i | −1.22072 | − | 0.268701i | ||||
\(233\) | −11.0021 | + | 12.9527i | −0.720773 | + | 0.848560i | −0.993536 | − | 0.113521i | \(-0.963787\pi\) |
0.272762 | + | 0.962081i | \(0.412063\pi\) | |||||||
\(234\) | 2.85931 | + | 0.310969i | 0.186919 | + | 0.0203287i | ||||
\(235\) | 0.906748 | 0.0591497 | ||||||||
\(236\) | 11.2884 | + | 3.65948i | 0.734809 | + | 0.238212i | ||||
\(237\) | 12.0337 | 0.781676 | ||||||||
\(238\) | 0.199576 | + | 0.0217052i | 0.0129366 | + | 0.00140694i | ||||
\(239\) | −11.0311 | + | 12.9869i | −0.713545 | + | 0.840050i | −0.992752 | − | 0.120181i | \(-0.961652\pi\) |
0.279207 | + | 0.960231i | \(0.409928\pi\) | |||||||
\(240\) | 0.801630 | + | 0.176452i | 0.0517450 | + | 0.0113899i | ||||
\(241\) | −17.7671 | − | 13.5062i | −1.14448 | − | 0.870010i | −0.151518 | − | 0.988455i | \(-0.548416\pi\) |
−0.992961 | + | 0.118445i | \(0.962209\pi\) | |||||||
\(242\) | −5.20667 | + | 4.93202i | −0.334697 | + | 0.317042i | ||||
\(243\) | −4.32953 | + | 10.8663i | −0.277740 | + | 0.697074i | ||||
\(244\) | −10.7051 | − | 3.60696i | −0.685323 | − | 0.230912i | ||||
\(245\) | 0.0477278 | + | 0.291127i | 0.00304922 | + | 0.0185994i | ||||
\(246\) | 3.49267 | + | 3.30843i | 0.222684 | + | 0.210938i | ||||
\(247\) | −20.0471 | + | 9.27477i | −1.27557 | + | 0.590140i | ||||
\(248\) | 3.51202 | − | 2.66976i | 0.223013 | − | 0.169530i | ||||
\(249\) | 3.29229 | − | 20.0821i | 0.208640 | − | 1.27265i | ||||
\(250\) | 1.29133 | − | 2.43571i | 0.0816711 | − | 0.154048i | ||||
\(251\) | 17.0154 | − | 3.74537i | 1.07400 | − | 0.236405i | 0.357444 | − | 0.933934i | \(-0.383648\pi\) |
0.716557 | + | 0.697529i | \(0.245717\pi\) | |||||||
\(252\) | 4.26618 | + | 1.97375i | 0.268744 | + | 0.124334i | ||||
\(253\) | −0.969289 | − | 2.43273i | −0.0609386 | − | 0.152944i | ||||
\(254\) | 0.133372 | + | 2.45990i | 0.00836851 | + | 0.154348i | ||||
\(255\) | −0.0370140 | − | 0.0545916i | −0.00231791 | − | 0.00341866i | ||||
\(256\) | −5.99305 | − | 7.05556i | −0.374566 | − | 0.440973i | ||||
\(257\) | 0.0639778 | + | 0.120675i | 0.00399083 | + | 0.00752750i | 0.885499 | − | 0.464640i | \(-0.153816\pi\) |
−0.881509 | + | 0.472168i | \(0.843472\pi\) | |||||||
\(258\) | −8.77982 | + | 2.95827i | −0.546608 | + | 0.184174i | ||||
\(259\) | −0.373890 | + | 6.89599i | −0.0232324 | + | 0.428496i | ||||
\(260\) | −1.93471 | + | 1.16408i | −0.119986 | + | 0.0721930i | ||||
\(261\) | 2.58380 | + | 9.30599i | 0.159933 | + | 0.576026i | ||||
\(262\) | −1.38350 | + | 4.98292i | −0.0854730 | + | 0.307846i | ||||
\(263\) | 4.42645 | + | 2.66330i | 0.272946 | + | 0.164226i | 0.645446 | − | 0.763806i | \(-0.276672\pi\) |
−0.372500 | + | 0.928032i | \(0.621499\pi\) | |||||||
\(264\) | 1.08955 | − | 1.60697i | 0.0670573 | − | 0.0989021i | ||||
\(265\) | −4.73964 | + | 0.515467i | −0.291154 | + | 0.0316649i | ||||
\(266\) | 10.5718 | − | 1.14975i | 0.648196 | − | 0.0704956i | ||||
\(267\) | 5.31785 | − | 7.84324i | 0.325447 | − | 0.479998i | ||||
\(268\) | 11.5091 | + | 6.92481i | 0.703032 | + | 0.423000i | ||||
\(269\) | −6.13774 | + | 22.1062i | −0.374225 | + | 1.34784i | 0.501555 | + | 0.865126i | \(0.332761\pi\) |
−0.875780 | + | 0.482710i | \(0.839652\pi\) | |||||||
\(270\) | 0.422679 | + | 1.52235i | 0.0257234 | + | 0.0926475i | ||||
\(271\) | 15.5343 | − | 9.34666i | 0.943639 | − | 0.567769i | 0.0414646 | − | 0.999140i | \(-0.486798\pi\) |
0.902175 | + | 0.431371i | \(0.141970\pi\) | |||||||
\(272\) | 0.00948499 | − | 0.174940i | 0.000575112 | − | 0.0106073i | ||||
\(273\) | 11.1661 | − | 3.76230i | 0.675804 | − | 0.227705i | ||||
\(274\) | −3.01988 | − | 5.69610i | −0.182438 | − | 0.344114i | ||||
\(275\) | 1.89796 | + | 2.23445i | 0.114451 | + | 0.134743i | ||||
\(276\) | −4.99697 | − | 7.36998i | −0.300782 | − | 0.443621i | ||||
\(277\) | −0.612755 | − | 11.3016i | −0.0368169 | − | 0.679048i | −0.957447 | − | 0.288611i | \(-0.906807\pi\) |
0.920630 | − | 0.390437i | \(-0.127676\pi\) | |||||||
\(278\) | 4.65816 | + | 11.6911i | 0.279378 | + | 0.701186i | ||||
\(279\) | −2.03109 | − | 0.939684i | −0.121598 | − | 0.0562574i | ||||
\(280\) | 2.43594 | − | 0.536191i | 0.145575 | − | 0.0320436i | ||||
\(281\) | −6.97268 | + | 13.1519i | −0.415955 | + | 0.784575i | −0.999624 | − | 0.0274168i | \(-0.991272\pi\) |
0.583669 | + | 0.811992i | \(0.301617\pi\) | |||||||
\(282\) | 0.318103 | − | 1.94034i | 0.0189427 | − | 0.115546i | ||||
\(283\) | 17.6479 | − | 13.4156i | 1.04906 | − | 0.797475i | 0.0692893 | − | 0.997597i | \(-0.477927\pi\) |
0.979771 | + | 0.200122i | \(0.0641338\pi\) | |||||||
\(284\) | 13.8076 | − | 6.38808i | 0.819330 | − | 0.379063i | ||||
\(285\) | −2.53648 | − | 2.40268i | −0.150248 | − | 0.142323i | ||||
\(286\) | 0.232959 | + | 1.42098i | 0.0137751 | + | 0.0840246i | ||||
\(287\) | −12.6802 | − | 4.27245i | −0.748487 | − | 0.252194i | ||||
\(288\) | −2.59488 | + | 6.51265i | −0.152905 | + | 0.383762i | ||||
\(289\) | 12.3317 | − | 11.6812i | 0.725394 | − | 0.687130i | ||||
\(290\) | 1.77801 | + | 1.35161i | 0.104409 | + | 0.0793693i | ||||
\(291\) | −1.65717 | − | 0.364771i | −0.0971450 | − | 0.0213832i | ||||
\(292\) | −8.48614 | + | 9.99066i | −0.496614 | + | 0.584659i | ||||
\(293\) | 4.00059 | + | 0.435090i | 0.233717 | + | 0.0254182i | 0.224228 | − | 0.974537i | \(-0.428014\pi\) |
0.00948898 | + | 0.999955i | \(0.496980\pi\) | |||||||
\(294\) | 0.639723 | 0.0373094 | ||||||||
\(295\) | −2.34412 | − | 2.16987i | −0.136480 | − | 0.126335i | ||||
\(296\) | −6.58478 | −0.382732 | ||||||||
\(297\) | −3.40047 | − | 0.369823i | −0.197315 | − | 0.0214593i | ||||
\(298\) | 7.75003 | − | 9.12405i | 0.448947 | − | 0.528542i | ||||
\(299\) | 14.7991 | + | 3.25752i | 0.855853 | + | 0.188388i | ||||
\(300\) | 7.93593 | + | 6.03273i | 0.458181 | + | 0.348300i | ||||
\(301\) | 18.7078 | − | 17.7210i | 1.07830 | − | 1.02142i | ||||
\(302\) | 3.62783 | − | 9.10516i | 0.208758 | − | 0.523943i | ||||
\(303\) | 24.8254 | + | 8.36464i | 1.42618 | + | 0.480536i | ||||
\(304\) | −1.50140 | − | 9.15814i | −0.0861113 | − | 0.525256i | ||||
\(305\) | 2.20756 | + | 2.09112i | 0.126405 | + | 0.119737i | ||||
\(306\) | 0.0881263 | − | 0.0407716i | 0.00503784 | − | 0.00233076i | ||||
\(307\) | −3.82546 | + | 2.90804i | −0.218330 | + | 0.165970i | −0.708623 | − | 0.705588i | \(-0.750683\pi\) |
0.490292 | + | 0.871558i | \(0.336890\pi\) | |||||||
\(308\) | −0.380733 | + | 2.32237i | −0.0216943 | + | 0.132329i | ||||
\(309\) | −3.39466 | + | 6.40302i | −0.193116 | + | 0.364255i | ||||
\(310\) | −0.505424 | + | 0.111252i | −0.0287061 | + | 0.00631870i | ||||
\(311\) | −9.48515 | − | 4.38830i | −0.537854 | − | 0.248838i | 0.132105 | − | 0.991236i | \(-0.457826\pi\) |
−0.669959 | + | 0.742398i | \(0.733688\pi\) | |||||||
\(312\) | 4.15838 | + | 10.4367i | 0.235422 | + | 0.590864i | ||||
\(313\) | −0.0553862 | − | 1.02154i | −0.00313062 | − | 0.0577408i | 0.996551 | − | 0.0829867i | \(-0.0264459\pi\) |
−0.999681 | + | 0.0252459i | \(0.991963\pi\) | |||||||
\(314\) | −5.01890 | − | 7.40233i | −0.283233 | − | 0.417738i | ||||
\(315\) | −0.819142 | − | 0.964368i | −0.0461534 | − | 0.0543360i | ||||
\(316\) | −6.51453 | − | 12.2877i | −0.366471 | − | 0.691238i | ||||
\(317\) | 14.4414 | − | 4.86587i | 0.811109 | − | 0.273294i | 0.116970 | − | 0.993135i | \(-0.462682\pi\) |
0.694139 | + | 0.719841i | \(0.255785\pi\) | |||||||
\(318\) | −0.559704 | + | 10.3231i | −0.0313867 | + | 0.578893i | ||||
\(319\) | −4.14315 | + | 2.49285i | −0.231972 | + | 0.139573i | ||||
\(320\) | 0.105166 | + | 0.378774i | 0.00587896 | + | 0.0211741i | ||||
\(321\) | 2.28996 | − | 8.24770i | 0.127813 | − | 0.460342i | ||||
\(322\) | −6.25099 | − | 3.76110i | −0.348354 | − | 0.209598i | ||||
\(323\) | −0.418489 | + | 0.617226i | −0.0232854 | + | 0.0343434i | ||||
\(324\) | −5.97284 | + | 0.649586i | −0.331824 | + | 0.0360881i | ||||
\(325\) | −16.8652 | + | 1.83420i | −0.935511 | + | 0.101743i | ||||
\(326\) | −2.03292 | + | 2.99834i | −0.112593 | + | 0.166063i | ||||
\(327\) | −5.24613 | − | 3.15649i | −0.290112 | − | 0.174554i | ||||
\(328\) | 3.41313 | − | 12.2930i | 0.188458 | − | 0.678766i | ||||
\(329\) | 1.46305 | + | 5.26943i | 0.0806605 | + | 0.290513i | ||||
\(330\) | −0.195158 | + | 0.117423i | −0.0107431 | + | 0.00646390i | ||||
\(331\) | −0.459232 | + | 8.47004i | −0.0252417 | + | 0.465556i | 0.958401 | + | 0.285425i | \(0.0921348\pi\) |
−0.983643 | + | 0.180131i | \(0.942348\pi\) | |||||||
\(332\) | −22.2882 | + | 7.50976i | −1.22322 | + | 0.412152i | ||||
\(333\) | 1.56466 | + | 2.95126i | 0.0857429 | + | 0.161728i | ||||
\(334\) | −2.33022 | − | 2.74335i | −0.127504 | − | 0.150109i | ||||
\(335\) | −2.02899 | − | 2.99254i | −0.110856 | − | 0.163500i | ||||
\(336\) | 0.268016 | + | 4.94326i | 0.0146215 | + | 0.269677i | ||||
\(337\) | 1.97275 | + | 4.95124i | 0.107463 | + | 0.269711i | 0.972868 | − | 0.231362i | \(-0.0743181\pi\) |
−0.865405 | + | 0.501073i | \(0.832939\pi\) | |||||||
\(338\) | 0.397014 | + | 0.183678i | 0.0215947 | + | 0.00999077i | ||||
\(339\) | −26.8762 | + | 5.91590i | −1.45972 | + | 0.321308i | ||||
\(340\) | −0.0357060 | + | 0.0673486i | −0.00193643 | + | 0.00365249i | ||||
\(341\) | 0.181264 | − | 1.10566i | 0.00981599 | − | 0.0598749i | ||||
\(342\) | 4.09473 | − | 3.11274i | 0.221418 | − | 0.168318i | ||||
\(343\) | −17.5489 | + | 8.11898i | −0.947551 | + | 0.438384i | ||||
\(344\) | 17.8373 | + | 16.8964i | 0.961723 | + | 0.910993i | ||||
\(345\) | 0.387764 | + | 2.36526i | 0.0208765 | + | 0.127341i | ||||
\(346\) | 2.08899 | + | 0.703864i | 0.112305 | + | 0.0378399i | ||||
\(347\) | 4.81722 | − | 12.0903i | 0.258602 | − | 0.649042i | −0.741149 | − | 0.671340i | \(-0.765719\pi\) |
0.999751 | + | 0.0222982i | \(0.00709832\pi\) | |||||||
\(348\) | −11.9362 | + | 11.3066i | −0.639847 | + | 0.606096i | ||||
\(349\) | 7.98107 | + | 6.06705i | 0.427217 | + | 0.324762i | 0.796591 | − | 0.604519i | \(-0.206635\pi\) |
−0.369374 | + | 0.929281i | \(0.620428\pi\) | |||||||
\(350\) | 7.97630 | + | 1.75572i | 0.426351 | + | 0.0938470i | ||||
\(351\) | 12.8137 | − | 15.0855i | 0.683946 | − | 0.805204i | ||||
\(352\) | −3.48926 | − | 0.379480i | −0.185978 | − | 0.0202264i | ||||
\(353\) | 11.0078 | 0.585885 | 0.292943 | − | 0.956130i | \(-0.405365\pi\) | ||||
0.292943 | + | 0.956130i | \(0.405365\pi\) | |||||||
\(354\) | −5.46564 | + | 4.25493i | −0.290495 | + | 0.226147i | ||||
\(355\) | −4.09519 | −0.217350 | ||||||||
\(356\) | −10.8876 | − | 1.18410i | −0.577042 | − | 0.0627571i | ||||
\(357\) | 0.257528 | − | 0.303185i | 0.0136298 | − | 0.0160463i | ||||
\(358\) | −0.428134 | − | 0.0942395i | −0.0226276 | − | 0.00498071i | ||||
\(359\) | −2.64665 | − | 2.01193i | −0.139685 | − | 0.106185i | 0.532998 | − | 0.846116i | \(-0.321065\pi\) |
−0.672683 | + | 0.739931i | \(0.734858\pi\) | |||||||
\(360\) | 0.875864 | − | 0.829662i | 0.0461621 | − | 0.0437270i | ||||
\(361\) | −7.58847 | + | 19.0456i | −0.399393 | + | 1.00240i | ||||
\(362\) | −10.0507 | − | 3.38648i | −0.528254 | − | 0.177990i | ||||
\(363\) | 2.29909 | + | 14.0238i | 0.120671 | + | 0.736060i | ||||
\(364\) | −9.88654 | − | 9.36503i | −0.518196 | − | 0.490861i | ||||
\(365\) | 3.20235 | − | 1.48156i | 0.167618 | − | 0.0775486i | ||||
\(366\) | 5.24921 | − | 3.99034i | 0.274380 | − | 0.208579i | ||||
\(367\) | −2.09670 | + | 12.7893i | −0.109447 | + | 0.667597i | 0.873934 | + | 0.486044i | \(0.161561\pi\) |
−0.983381 | + | 0.181553i | \(0.941888\pi\) | |||||||
\(368\) | −2.98216 | + | 5.62496i | −0.155456 | + | 0.293221i | ||||
\(369\) | −6.32067 | + | 1.39128i | −0.329041 | + | 0.0724273i | ||||
\(370\) | 0.701070 | + | 0.324349i | 0.0364469 | + | 0.0168621i | ||||
\(371\) | −10.6430 | − | 26.7120i | −0.552558 | − | 1.38682i | ||||
\(372\) | −0.206253 | − | 3.80411i | −0.0106937 | − | 0.197234i | ||||
\(373\) | 5.75751 | + | 8.49169i | 0.298112 | + | 0.439683i | 0.947015 | − | 0.321188i | \(-0.104082\pi\) |
−0.648903 | + | 0.760871i | \(0.724772\pi\) | |||||||
\(374\) | 0.0314717 | + | 0.0370513i | 0.00162736 | + | 0.00191588i | ||||
\(375\) | −2.55881 | − | 4.82643i | −0.132136 | − | 0.249236i | ||||
\(376\) | −4.94135 | + | 1.66493i | −0.254831 | + | 0.0858625i | ||||
\(377\) | 1.51479 | − | 27.9386i | 0.0780155 | − | 1.43891i | ||||
\(378\) | −8.16493 | + | 4.91267i | −0.419959 | + | 0.252681i | ||||
\(379\) | 4.71791 | + | 16.9924i | 0.242343 | + | 0.872840i | 0.980221 | + | 0.197906i | \(0.0634141\pi\) |
−0.737878 | + | 0.674934i | \(0.764172\pi\) | |||||||
\(380\) | −1.08025 | + | 3.89071i | −0.0554157 | + | 0.199589i | ||||
\(381\) | 4.18276 | + | 2.51669i | 0.214290 | + | 0.128934i | ||||
\(382\) | 7.41038 | − | 10.9295i | 0.379148 | − | 0.559202i | ||||
\(383\) | 5.46013 | − | 0.593824i | 0.278999 | − | 0.0303430i | 0.0324504 | − | 0.999473i | \(-0.489669\pi\) |
0.246549 | + | 0.969130i | \(0.420703\pi\) | |||||||
\(384\) | −14.5118 | + | 1.57825i | −0.740552 | + | 0.0805398i | ||||
\(385\) | 0.355498 | − | 0.524320i | 0.0181179 | − | 0.0267218i | ||||
\(386\) | −9.67888 | − | 5.82359i | −0.492642 | − | 0.296413i | ||||
\(387\) | 3.33442 | − | 12.0095i | 0.169498 | − | 0.610476i | ||||
\(388\) | 0.524649 | + | 1.88961i | 0.0266350 | + | 0.0959306i | ||||
\(389\) | −25.9437 | + | 15.6098i | −1.31540 | + | 0.791449i | −0.988150 | − | 0.153490i | \(-0.950949\pi\) |
−0.327248 | + | 0.944938i | \(0.606121\pi\) | |||||||
\(390\) | 0.0713521 | − | 1.31601i | 0.00361305 | − | 0.0666388i | ||||
\(391\) | 0.484804 | − | 0.163350i | 0.0245176 | − | 0.00826094i | ||||
\(392\) | −0.794650 | − | 1.49887i | −0.0401359 | − | 0.0757043i | ||||
\(393\) | 6.63396 | + | 7.81010i | 0.334639 | + | 0.393968i | ||||
\(394\) | 3.90010 | + | 5.75222i | 0.196484 | + | 0.289793i | ||||
\(395\) | 0.202678 | + | 3.73818i | 0.0101978 | + | 0.188088i | ||||
\(396\) | 0.421324 | + | 1.05744i | 0.0211723 | + | 0.0531385i | ||||
\(397\) | 2.60860 | + | 1.20687i | 0.130922 | + | 0.0605710i | 0.484257 | − | 0.874926i | \(-0.339090\pi\) |
−0.353334 | + | 0.935497i | \(0.614952\pi\) | |||||||
\(398\) | 7.79191 | − | 1.71513i | 0.390573 | − | 0.0859716i | ||||
\(399\) | 9.87018 | − | 18.6171i | 0.494127 | − | 0.932022i | ||||
\(400\) | 1.15311 | − | 7.03368i | 0.0576557 | − | 0.351684i | ||||
\(401\) | −14.5043 | + | 11.0259i | −0.724310 | + | 0.550606i | −0.901084 | − | 0.433645i | \(-0.857227\pi\) |
0.176774 | + | 0.984252i | \(0.443434\pi\) | |||||||
\(402\) | −7.11551 | + | 3.29199i | −0.354889 | + | 0.164189i | ||||
\(403\) | 4.70690 | + | 4.45861i | 0.234467 | + | 0.222099i | ||||
\(404\) | −4.89818 | − | 29.8775i | −0.243693 | − | 1.48646i | ||||
\(405\) | 1.53258 | + | 0.516385i | 0.0761544 | + | 0.0256594i | ||||
\(406\) | −4.98583 | + | 12.5135i | −0.247443 | + | 0.621034i | ||||
\(407\) | −1.21413 | + | 1.15008i | −0.0601820 | + | 0.0570074i | ||||
\(408\) | 0.301948 | + | 0.229535i | 0.0149486 | + | 0.0113637i | ||||
\(409\) | 26.3149 | + | 5.79235i | 1.30119 | + | 0.286413i | 0.810920 | − | 0.585157i | \(-0.198967\pi\) |
0.490270 | + | 0.871571i | \(0.336898\pi\) | |||||||
\(410\) | −0.968910 | + | 1.14069i | −0.0478510 | + | 0.0563346i | ||||
\(411\) | −12.7002 | − | 1.38123i | −0.626456 | − | 0.0681312i | ||||
\(412\) | 8.37587 | 0.412649 | ||||||||
\(413\) | 8.82759 | − | 17.1236i | 0.434378 | − | 0.842598i | ||||
\(414\) | −3.52860 | −0.173421 | ||||||||
\(415\) | 6.29376 | + | 0.684488i | 0.308949 | + | 0.0336002i | ||||
\(416\) | 13.1483 | − | 15.4794i | 0.644649 | − | 0.758940i | ||||
\(417\) | 24.3543 | + | 5.36080i | 1.19264 | + | 0.262519i | ||||
\(418\) | 2.05003 | + | 1.55839i | 0.100270 | + | 0.0762234i | ||||
\(419\) | −6.14125 | + | 5.81730i | −0.300020 | + | 0.284194i | −0.822869 | − | 0.568232i | \(-0.807628\pi\) |
0.522849 | + | 0.852425i | \(0.324869\pi\) | |||||||
\(420\) | 0.797266 | − | 2.00099i | 0.0389026 | − | 0.0976381i | ||||
\(421\) | 0.375044 | + | 0.126367i | 0.0182785 | + | 0.00615875i | 0.328426 | − | 0.944530i | \(-0.393482\pi\) |
−0.310147 | + | 0.950688i | \(0.600378\pi\) | |||||||
\(422\) | 0.250072 | + | 1.52537i | 0.0121733 | + | 0.0742540i | ||||
\(423\) | 1.92037 | + | 1.81907i | 0.0933715 | + | 0.0884462i | ||||
\(424\) | 24.8823 | − | 11.5118i | 1.20839 | − | 0.559062i | ||||
\(425\) | −0.455948 | + | 0.346603i | −0.0221167 | + | 0.0168127i | ||||
\(426\) | −1.43666 | + | 8.76326i | −0.0696065 | + | 0.424581i | ||||
\(427\) | −8.59027 | + | 16.2030i | −0.415712 | + | 0.784117i | ||||
\(428\) | −9.66145 | + | 2.12665i | −0.467004 | + | 0.102795i | ||||
\(429\) | 2.58959 | + | 1.19807i | 0.125027 | + | 0.0578435i | ||||
\(430\) | −1.06683 | − | 2.67755i | −0.0514473 | − | 0.129123i | ||||
\(431\) | 0.358843 | + | 6.61847i | 0.0172849 | + | 0.318800i | 0.994371 | + | 0.105956i | \(0.0337901\pi\) |
−0.977086 | + | 0.212845i | \(0.931727\pi\) | |||||||
\(432\) | 4.66678 | + | 6.88299i | 0.224531 | + | 0.331158i | ||||
\(433\) | 17.1717 | + | 20.2160i | 0.825217 | + | 0.971520i | 0.999914 | − | 0.0131017i | \(-0.00417053\pi\) |
−0.174697 | + | 0.984622i | \(0.555895\pi\) | |||||||
\(434\) | −1.46203 | − | 2.75769i | −0.0701798 | − | 0.132373i | ||||
\(435\) | 4.19392 | − | 1.41310i | 0.201083 | − | 0.0677528i | ||||
\(436\) | −0.383087 | + | 7.06563i | −0.0183466 | + | 0.338382i | ||||
\(437\) | 23.2201 | − | 13.9711i | 1.11077 | − | 0.668328i | ||||
\(438\) | −2.04694 | − | 7.37242i | −0.0978067 | − | 0.352268i | ||||
\(439\) | 8.51822 | − | 30.6799i | 0.406553 | − | 1.46427i | −0.423148 | − | 0.906061i | \(-0.639075\pi\) |
0.829700 | − | 0.558209i | \(-0.188511\pi\) | |||||||
\(440\) | 0.517541 | + | 0.311394i | 0.0246728 | + | 0.0148451i | ||||
\(441\) | −0.482962 | + | 0.712316i | −0.0229982 | + | 0.0339198i | ||||
\(442\) | −0.279655 | + | 0.0304143i | −0.0133018 | + | 0.00144666i | ||||
\(443\) | 17.3478 | − | 1.88668i | 0.824217 | − | 0.0896390i | 0.313717 | − | 0.949517i | \(-0.398426\pi\) |
0.510500 | + | 0.859878i | \(0.329460\pi\) | |||||||
\(444\) | −3.19115 | + | 4.70659i | −0.151445 | + | 0.223365i | ||||
\(445\) | 2.52600 | + | 1.51984i | 0.119744 | + | 0.0720475i | ||||
\(446\) | −2.08081 | + | 7.49441i | −0.0985293 | + | 0.354871i | ||||
\(447\) | −6.34614 | − | 22.8567i | −0.300162 | − | 1.08109i | ||||
\(448\) | −2.03150 | + | 1.22231i | −0.0959794 | + | 0.0577489i | ||||
\(449\) | 1.07247 | − | 19.7805i | 0.0506128 | − | 0.933499i | −0.857425 | − | 0.514610i | \(-0.827937\pi\) |
0.908037 | − | 0.418889i | \(-0.137580\pi\) | |||||||
\(450\) | 3.74357 | − | 1.26136i | 0.176474 | − | 0.0594609i | ||||
\(451\) | −1.51773 | − | 2.86275i | −0.0714673 | − | 0.134802i | ||||
\(452\) | 20.5903 | + | 24.2408i | 0.968488 | + | 1.14019i | ||||
\(453\) | −10.8991 | − | 16.0750i | −0.512084 | − | 0.755267i | ||||
\(454\) | −0.658162 | − | 12.1391i | −0.0308891 | − | 0.569715i | ||||
\(455\) | 1.35679 | + | 3.40529i | 0.0636074 | + | 0.159642i | ||||
\(456\) | 18.2343 | + | 8.43610i | 0.853901 | + | 0.395057i | ||||
\(457\) | −14.7095 | + | 3.23780i | −0.688080 | + | 0.151458i | −0.545230 | − | 0.838287i | \(-0.683558\pi\) |
−0.142850 | + | 0.989744i | \(0.545627\pi\) | |||||||
\(458\) | 0.483138 | − | 0.911296i | 0.0225756 | − | 0.0425821i | ||||
\(459\) | 0.108106 | − | 0.659418i | 0.00504596 | − | 0.0307790i | ||||
\(460\) | 2.20526 | − | 1.67639i | 0.102821 | − | 0.0781622i | ||||
\(461\) | −18.3239 | + | 8.47753i | −0.853428 | + | 0.394838i | −0.797298 | − | 0.603586i | \(-0.793738\pi\) |
−0.0561298 | + | 0.998423i | \(0.517876\pi\) | |||||||
\(462\) | −0.997273 | − | 0.944667i | −0.0463973 | − | 0.0439499i | ||||
\(463\) | 4.50564 | + | 27.4832i | 0.209395 | + | 1.27725i | 0.857016 | + | 0.515289i | \(0.172316\pi\) |
−0.647622 | + | 0.761962i | \(0.724236\pi\) | |||||||
\(464\) | 11.1401 | + | 3.75354i | 0.517167 | + | 0.174254i | ||||
\(465\) | −0.379571 | + | 0.952652i | −0.0176022 | + | 0.0441782i | ||||
\(466\) | −8.32327 | + | 7.88422i | −0.385568 | + | 0.365229i | ||||
\(467\) | −7.83232 | − | 5.95398i | −0.362437 | − | 0.275517i | 0.408068 | − | 0.912952i | \(-0.366203\pi\) |
−0.770505 | + | 0.637434i | \(0.779996\pi\) | |||||||
\(468\) | −6.43277 | − | 1.41596i | −0.297355 | − | 0.0654528i | ||||
\(469\) | 14.1169 | − | 16.6197i | 0.651857 | − | 0.767426i | ||||
\(470\) | 0.608107 | + | 0.0661356i | 0.0280499 | + | 0.00305061i | ||||
\(471\) | −17.7215 | −0.816565 | ||||||||
\(472\) | 16.7586 | + | 7.52058i | 0.771376 | + | 0.346163i | ||||
\(473\) | 6.23999 | 0.286915 | ||||||||
\(474\) | 8.07039 | + | 0.877707i | 0.370685 | + | 0.0403144i | ||||
\(475\) | −19.6406 | + | 23.1227i | −0.901172 | + | 1.06094i | ||||
\(476\) | −0.448998 | − | 0.0988320i | −0.0205798 | − | 0.00452996i | ||||
\(477\) | −11.0720 | − | 8.41673i | −0.506953 | − | 0.385375i | ||||
\(478\) | −8.34521 | + | 7.90501i | −0.381701 | + | 0.361567i | ||||
\(479\) | 0.724963 | − | 1.81952i | 0.0331244 | − | 0.0831360i | −0.911484 | − | 0.411335i | \(-0.865062\pi\) |
0.944608 | + | 0.328199i | \(0.106442\pi\) | |||||||
\(480\) | 3.04428 | + | 1.02574i | 0.138952 | + | 0.0468183i | ||||
\(481\) | −1.56560 | − | 9.54971i | −0.0713850 | − | 0.435429i | ||||
\(482\) | −10.9303 | − | 10.3538i | −0.497863 | − | 0.471601i | ||||
\(483\) | −13.1197 | + | 6.06981i | −0.596966 | + | 0.276186i | ||||
\(484\) | 13.0752 | − | 9.93948i | 0.594326 | − | 0.451795i | ||||
\(485\) | 0.0854019 | − | 0.520929i | 0.00387790 | − | 0.0236542i | ||||
\(486\) | −3.69614 | + | 6.97167i | −0.167661 | + | 0.316241i | ||||
\(487\) | −26.3448 | + | 5.79892i | −1.19380 | + | 0.262774i | −0.767044 | − | 0.641595i | \(-0.778273\pi\) |
−0.426752 | + | 0.904369i | \(0.640342\pi\) | |||||||
\(488\) | −15.8698 | − | 7.34216i | −0.718393 | − | 0.332364i | ||||
\(489\) | 2.65691 | + | 6.66834i | 0.120150 | + | 0.301553i | ||||
\(490\) | 0.0107745 | + | 0.198724i | 0.000486743 | + | 0.00897745i | ||||
\(491\) | 3.19296 | + | 4.70927i | 0.144096 | + | 0.212526i | 0.892888 | − | 0.450280i | \(-0.148676\pi\) |
−0.748791 | + | 0.662806i | \(0.769365\pi\) | |||||||
\(492\) | −7.13254 | − | 8.39707i | −0.321560 | − | 0.378569i | ||||
\(493\) | −0.442461 | − | 0.834570i | −0.0199274 | − | 0.0375871i | ||||
\(494\) | −14.1210 | + | 4.75791i | −0.635333 | + | 0.214069i | ||||
\(495\) | 0.0165882 | − | 0.305952i | 0.000745586 | − | 0.0137515i | ||||
\(496\) | −2.33403 | + | 1.40434i | −0.104801 | + | 0.0630568i | ||||
\(497\) | −6.60764 | − | 23.7986i | −0.296393 | − | 1.06751i | ||||
\(498\) | 3.67269 | − | 13.2278i | 0.164577 | − | 0.592753i | ||||
\(499\) | −12.7761 | − | 7.68715i | −0.571939 | − | 0.344124i | 0.200025 | − | 0.979791i | \(-0.435898\pi\) |
−0.771964 | + | 0.635667i | \(0.780725\pi\) | |||||||
\(500\) | −3.54306 | + | 5.22562i | −0.158450 | + | 0.233697i | ||||
\(501\) | −7.09056 | + | 0.771145i | −0.316783 | + | 0.0344522i | ||||
\(502\) | 11.6845 | − | 1.27076i | 0.521504 | − | 0.0567169i | ||||
\(503\) | −11.0447 | + | 16.2898i | −0.492460 | + | 0.726325i | −0.989992 | − | 0.141121i | \(-0.954929\pi\) |
0.497532 | + | 0.867446i | \(0.334240\pi\) | |||||||
\(504\) | 6.23467 | + | 3.75128i | 0.277714 | + | 0.167095i | ||||
\(505\) | −2.18028 | + | 7.85267i | −0.0970213 | + | 0.349439i | ||||
\(506\) | −0.472613 | − | 1.70220i | −0.0210102 | − | 0.0756720i | ||||
\(507\) | 0.742730 | − | 0.446886i | 0.0329858 | − | 0.0198469i | ||||
\(508\) | 0.305437 | − | 5.63346i | 0.0135516 | − | 0.249944i | ||||
\(509\) | −40.2488 | + | 13.5614i | −1.78400 | + | 0.601098i | −0.999811 | − | 0.0194284i | \(-0.993815\pi\) |
−0.784185 | + | 0.620527i | \(0.786919\pi\) | |||||||
\(510\) | −0.0208415 | − | 0.0393113i | −0.000922879 | − | 0.00174073i | ||||
\(511\) | 13.7769 | + | 16.2194i | 0.609455 | + | 0.717505i | ||||
\(512\) | 8.75187 | + | 12.9080i | 0.386782 | + | 0.570460i | ||||
\(513\) | −1.91632 | − | 35.3445i | −0.0846078 | − | 1.56050i | ||||
\(514\) | 0.0341048 | + | 0.0855966i | 0.00150430 | + | 0.00377550i | ||||
\(515\) | −2.04621 | − | 0.946680i | −0.0901670 | − | 0.0417157i | ||||
\(516\) | 20.7214 | − | 4.56113i | 0.912210 | − | 0.200793i | ||||
\(517\) | −0.620311 | + | 1.17003i | −0.0272812 | + | 0.0514579i | ||||
\(518\) | −0.753722 | + | 4.59750i | −0.0331166 | + | 0.202003i | ||||
\(519\) | 3.47737 | − | 2.64343i | 0.152640 | − | 0.116034i | ||||
\(520\) | −3.17204 | + | 1.46754i | −0.139103 | + | 0.0643560i | ||||
\(521\) | 26.7050 | + | 25.2963i | 1.16997 | + | 1.10825i | 0.992261 | + | 0.124167i | \(0.0396259\pi\) |
0.177705 | + | 0.984084i | \(0.443133\pi\) | |||||||
\(522\) | 1.05406 | + | 6.42948i | 0.0461350 | + | 0.281411i | ||||
\(523\) | −11.9159 | − | 4.01493i | −0.521046 | − | 0.175561i | 0.0464755 | − | 0.998919i | \(-0.485201\pi\) |
−0.567521 | + | 0.823359i | \(0.692098\pi\) | |||||||
\(524\) | 4.38360 | − | 11.0020i | 0.191498 | − | 0.480625i | ||||
\(525\) | 11.7492 | − | 11.1295i | 0.512778 | − | 0.485729i | ||||
\(526\) | 2.77433 | + | 2.10899i | 0.120966 | + | 0.0919562i | ||||
\(527\) | 0.213764 | + | 0.0470530i | 0.00931171 | + | 0.00204966i | ||||
\(528\) | −0.776086 | + | 0.913679i | −0.0337748 | + | 0.0397628i | ||||
\(529\) | 4.38342 | + | 0.476726i | 0.190584 | + | 0.0207272i | ||||
\(530\) | −3.21622 | −0.139704 | ||||||||
\(531\) | −0.611453 | − | 9.29814i | −0.0265348 | − | 0.403505i | ||||
\(532\) | −24.3533 | −1.05585 | ||||||||
\(533\) | 18.6396 | + | 2.02718i | 0.807372 | + | 0.0878070i | ||||
\(534\) | 4.13846 | − | 4.87217i | 0.179089 | − | 0.210839i | ||||
\(535\) | 2.60065 | + | 0.572445i | 0.112436 | + | 0.0247490i | ||||
\(536\) | 16.5518 | + | 12.5824i | 0.714930 | + | 0.543476i | ||||
\(537\) | −0.630649 | + | 0.597382i | −0.0272145 | + | 0.0257790i | ||||
\(538\) | −5.72862 | + | 14.3777i | −0.246978 | + | 0.619868i | ||||
\(539\) | −0.408309 | − | 0.137575i | −0.0175871 | − | 0.00592579i | ||||
\(540\) | −0.585368 | − | 3.57058i | −0.0251902 | − | 0.153654i | ||||
\(541\) | 3.27688 | + | 3.10402i | 0.140884 | + | 0.133452i | 0.754897 | − | 0.655844i | \(-0.227687\pi\) |
−0.614013 | + | 0.789296i | \(0.710446\pi\) | |||||||
\(542\) | 11.0997 | − | 5.13527i | 0.476774 | − | 0.220579i | ||||
\(543\) | −16.7306 | + | 12.7183i | −0.717978 | + | 0.545793i | ||||
\(544\) | 0.110929 | − | 0.676637i | 0.00475604 | − | 0.0290106i | ||||
\(545\) | 0.892178 | − | 1.68283i | 0.0382167 | − | 0.0720844i | ||||
\(546\) | 7.76293 | − | 1.70875i | 0.332223 | − | 0.0731278i | ||||
\(547\) | 36.2322 | + | 16.7628i | 1.54918 | + | 0.716726i | 0.993410 | − | 0.114612i | \(-0.0365624\pi\) |
0.555768 | + | 0.831338i | \(0.312424\pi\) | |||||||
\(548\) | 5.46495 | + | 13.7160i | 0.233451 | + | 0.585918i | ||||
\(549\) | 0.480234 | + | 8.85740i | 0.0204959 | + | 0.378025i | ||||
\(550\) | 1.10989 | + | 1.63696i | 0.0473257 | + | 0.0698002i | ||||
\(551\) | −32.3931 | − | 38.1361i | −1.37999 | − | 1.62465i | ||||
\(552\) | −6.45613 | − | 12.1775i | −0.274791 | − | 0.518311i | ||||
\(553\) | −21.3968 | + | 7.20943i | −0.909885 | + | 0.306576i | ||||
\(554\) | 0.413365 | − | 7.62408i | 0.0175622 | − | 0.323916i | ||||
\(555\) | 1.31156 | − | 0.789136i | 0.0556724 | − | 0.0334970i | ||||
\(556\) | −7.71042 | − | 27.7704i | −0.326995 | − | 1.17773i | ||||
\(557\) | −6.95556 | + | 25.0517i | −0.294717 | + | 1.06147i | 0.656848 | + | 0.754023i | \(0.271890\pi\) |
−0.951564 | + | 0.307450i | \(0.900524\pi\) | |||||||
\(558\) | −1.29361 | − | 0.778338i | −0.0547628 | − | 0.0329497i | ||||
\(559\) | −20.2633 | + | 29.8862i | −0.857048 | + | 1.26405i | ||||
\(560\) | −1.53107 | + | 0.166513i | −0.0646993 | + | 0.00703648i | ||||
\(561\) | 0.0957642 | − | 0.0104150i | 0.00404317 | − | 0.000439721i | ||||
\(562\) | −5.63546 | + | 8.31169i | −0.237718 | + | 0.350607i | ||||
\(563\) | −19.8422 | − | 11.9386i | −0.836248 | − | 0.503154i | 0.0318811 | − | 0.999492i | \(-0.489850\pi\) |
−0.868130 | + | 0.496338i | \(0.834678\pi\) | |||||||
\(564\) | −1.20466 | + | 4.33879i | −0.0507253 | + | 0.182696i | ||||
\(565\) | −2.29038 | − | 8.24922i | −0.0963572 | − | 0.347047i | ||||
\(566\) | 12.8140 | − | 7.70994i | 0.538613 | − | 0.324073i | ||||
\(567\) | −0.528062 | + | 9.73954i | −0.0221765 | + | 0.409022i | ||||
\(568\) | 22.3169 | − | 7.51943i | 0.936395 | − | 0.315508i | ||||
\(569\) | −5.99073 | − | 11.2997i | −0.251144 | − | 0.473709i | 0.725600 | − | 0.688117i | \(-0.241562\pi\) |
−0.976744 | + | 0.214408i | \(0.931218\pi\) | |||||||
\(570\) | −1.52584 | − | 1.79635i | −0.0639102 | − | 0.0752409i | ||||
\(571\) | −9.23035 | − | 13.6138i | −0.386278 | − | 0.569718i | 0.583987 | − | 0.811763i | \(-0.301492\pi\) |
−0.970265 | + | 0.242045i | \(0.922182\pi\) | |||||||
\(572\) | −0.178532 | − | 3.29282i | −0.00746479 | − | 0.137680i | ||||
\(573\) | −9.68493 | − | 24.3073i | −0.404594 | − | 1.01545i | ||||
\(574\) | −8.19229 | − | 3.79016i | −0.341939 | − | 0.158198i | ||||
\(575\) | 20.3262 | − | 4.47414i | 0.847663 | − | 0.186585i | ||||
\(576\) | −0.537149 | + | 1.01317i | −0.0223812 | + | 0.0422154i | ||||
\(577\) | −5.46240 | + | 33.3192i | −0.227403 | + | 1.38710i | 0.588309 | + | 0.808636i | \(0.299794\pi\) |
−0.815712 | + | 0.578459i | \(0.803654\pi\) | |||||||
\(578\) | 9.12221 | − | 6.93452i | 0.379434 | − | 0.288438i | ||||
\(579\) | −20.3142 | + | 9.39833i | −0.844228 | + | 0.390581i | ||||
\(580\) | −3.71332 | − | 3.51744i | −0.154187 | − | 0.146054i | ||||
\(581\) | 6.17727 | + | 37.6797i | 0.256276 | + | 1.56322i | ||||
\(582\) | −1.08477 | − | 0.365501i | −0.0449651 | − | 0.0151505i | ||||
\(583\) | 2.57727 | − | 6.46847i | 0.106740 | − | 0.267897i | ||||
\(584\) | −14.7309 | + | 13.9538i | −0.609569 | + | 0.577414i | ||||
\(585\) | 1.41148 | + | 1.07298i | 0.0583575 | + | 0.0443622i | ||||
\(586\) | 2.65125 | + | 0.583583i | 0.109522 | + | 0.0241076i | ||||
\(587\) | 3.31987 | − | 3.90845i | 0.137026 | − | 0.161319i | −0.689369 | − | 0.724410i | \(-0.742112\pi\) |
0.826395 | + | 0.563091i | \(0.190388\pi\) | |||||||
\(588\) | −1.45645 | − | 0.158399i | −0.0600630 | − | 0.00653225i | ||||
\(589\) | 11.5944 | 0.477739 | ||||||||
\(590\) | −1.41381 | − | 1.62619i | −0.0582057 | − | 0.0669491i | ||||
\(591\) | 13.7711 | 0.566466 | ||||||||
\(592\) | 4.04198 | + | 0.439592i | 0.166124 | + | 0.0180671i | ||||
\(593\) | 16.7944 | − | 19.7719i | 0.689665 | − | 0.811937i | −0.300211 | − | 0.953873i | \(-0.597057\pi\) |
0.989876 | + | 0.141936i | \(0.0453328\pi\) | |||||||
\(594\) | −2.25354 | − | 0.496041i | −0.0924638 | − | 0.0203528i | ||||
\(595\) | 0.0985193 | + | 0.0748924i | 0.00403890 | + | 0.00307029i | ||||
\(596\) | −19.9036 | + | 18.8537i | −0.815283 | + | 0.772277i | ||||
\(597\) | 5.85169 | − | 14.6866i | 0.239494 | − | 0.601084i | ||||
\(598\) | 9.68736 | + | 3.26405i | 0.396145 | + | 0.133477i | ||||
\(599\) | −3.26675 | − | 19.9263i | −0.133476 | − | 0.814167i | −0.965687 | − | 0.259708i | \(-0.916374\pi\) |
0.832211 | − | 0.554459i | \(-0.187075\pi\) | |||||||
\(600\) | 11.2025 | + | 10.6116i | 0.457341 | + | 0.433217i | ||||
\(601\) | 30.1128 | − | 13.9317i | 1.22833 | − | 0.568284i | 0.305019 | − | 0.952346i | \(-0.401337\pi\) |
0.923307 | + | 0.384062i | \(0.125475\pi\) | |||||||
\(602\) | 13.8388 | − | 10.5200i | 0.564028 | − | 0.428763i | ||||
\(603\) | 1.70635 | − | 10.4083i | 0.0694878 | − | 0.423857i | ||||
\(604\) | −10.5139 | + | 19.8314i | −0.427806 | + | 0.806927i | ||||
\(605\) | −4.31765 | + | 0.950388i | −0.175538 | + | 0.0386388i | ||||
\(606\) | 16.0390 | + | 7.42041i | 0.651538 | + | 0.301434i | ||||
\(607\) | −3.23282 | − | 8.11376i | −0.131216 | − | 0.329327i | 0.848659 | − | 0.528941i | \(-0.177411\pi\) |
−0.979875 | + | 0.199614i | \(0.936031\pi\) | |||||||
\(608\) | −1.96636 | − | 36.2674i | −0.0797465 | − | 1.47084i | ||||
\(609\) | 14.9789 | + | 22.0923i | 0.606977 | + | 0.895225i | ||||
\(610\) | 1.32797 | + | 1.56341i | 0.0537681 | + | 0.0633007i | ||||
\(611\) | −3.58946 | − | 6.77044i | −0.145214 | − | 0.273903i | ||||
\(612\) | −0.210732 | + | 0.0710037i | −0.00851832 | + | 0.00287016i | ||||
\(613\) | 2.45688 | − | 45.3144i | 0.0992323 | − | 1.83023i | −0.349922 | − | 0.936779i | \(-0.613792\pi\) |
0.449155 | − | 0.893454i | \(-0.351725\pi\) | |||||||
\(614\) | −2.77763 | + | 1.67125i | −0.112096 | + | 0.0674460i | ||||
\(615\) | 0.793395 | + | 2.85755i | 0.0319928 | + | 0.115227i | ||||
\(616\) | −0.974561 | + | 3.51005i | −0.0392662 | + | 0.141424i | ||||
\(617\) | 23.1753 | + | 13.9441i | 0.933001 | + | 0.561368i | 0.898950 | − | 0.438052i | \(-0.144332\pi\) |
0.0340511 | + | 0.999420i | \(0.489159\pi\) | |||||||
\(618\) | −2.74364 | + | 4.04656i | −0.110365 | + | 0.162777i | ||||
\(619\) | 30.0907 | − | 3.27256i | 1.20945 | − | 0.131535i | 0.518907 | − | 0.854831i | \(-0.326339\pi\) |
0.690539 | + | 0.723296i | \(0.257374\pi\) | |||||||
\(620\) | 1.17824 | − | 0.128141i | 0.0473193 | − | 0.00514628i | ||||
\(621\) | −13.6272 | + | 20.0986i | −0.546841 | + | 0.806531i | ||||
\(622\) | −6.04111 | − | 3.63482i | −0.242227 | − | 0.145743i | ||||
\(623\) | −4.75661 | + | 17.1317i | −0.190569 | + | 0.686369i | ||||
\(624\) | −1.85582 | − | 6.68406i | −0.0742923 | − | 0.267577i | ||||
\(625\) | −19.2243 | + | 11.5669i | −0.768973 | + | 0.462676i | ||||
\(626\) | 0.0373636 | − | 0.689131i | 0.00149335 | − | 0.0275432i | ||||
\(627\) | 4.83554 | − | 1.62928i | 0.193113 | − | 0.0650673i | ||||
\(628\) | 9.59364 | + | 18.0955i | 0.382828 | + | 0.722090i | ||||
\(629\) | −0.211505 | − | 0.249003i | −0.00843326 | − | 0.00992840i | ||||
\(630\) | −0.479016 | − | 0.706496i | −0.0190845 | − | 0.0281475i | ||||
\(631\) | 0.967251 | + | 17.8399i | 0.0385056 | + | 0.710195i | 0.952513 | + | 0.304497i | \(0.0984885\pi\) |
−0.914008 | + | 0.405697i | \(0.867029\pi\) | |||||||
\(632\) | −7.96839 | − | 19.9992i | −0.316966 | − | 0.795524i | ||||
\(633\) | 2.77982 | + | 1.28608i | 0.110488 | + | 0.0511172i | ||||
\(634\) | 10.0400 | − | 2.20996i | 0.398738 | − | 0.0877688i | ||||
\(635\) | −0.711338 | + | 1.34173i | −0.0282286 | + | 0.0532448i | ||||
\(636\) | 3.83033 | − | 23.3640i | 0.151883 | − | 0.926443i | ||||
\(637\) | 1.98483 | − | 1.50883i | 0.0786418 | − | 0.0597819i | ||||
\(638\) | −2.96041 | + | 1.36963i | −0.117204 | + | 0.0542242i | ||||
\(639\) | −8.67306 | − | 8.21556i | −0.343101 | − | 0.325002i | ||||
\(640\) | −0.734685 | − | 4.48138i | −0.0290410 | − | 0.177142i | ||||
\(641\) | 27.0493 | + | 9.11396i | 1.06838 | + | 0.359980i | 0.797928 | − | 0.602753i | \(-0.205930\pi\) |
0.270454 | + | 0.962733i | \(0.412826\pi\) | |||||||
\(642\) | 2.13732 | − | 5.36427i | 0.0843533 | − | 0.211711i | ||||
\(643\) | 25.7522 | − | 24.3938i | 1.01557 | − | 0.961998i | 0.0162857 | − | 0.999867i | \(-0.494816\pi\) |
0.999283 | + | 0.0378699i | \(0.0120572\pi\) | |||||||
\(644\) | 13.3003 | + | 10.1106i | 0.524106 | + | 0.398415i | ||||
\(645\) | −5.57774 | − | 1.22775i | −0.219623 | − | 0.0483427i | ||||
\(646\) | −0.325677 | + | 0.383417i | −0.0128136 | + | 0.0150853i | ||||
\(647\) | 38.5452 | + | 4.19204i | 1.51537 | + | 0.164806i | 0.827680 | − | 0.561200i | \(-0.189660\pi\) |
0.687688 | + | 0.726006i | \(0.258626\pi\) | |||||||
\(648\) | −9.29999 | −0.365338 | ||||||||
\(649\) | 4.40353 | − | 1.54034i | 0.172854 | − | 0.0604636i | ||||
\(650\) | −11.4443 | −0.448884 | ||||||||
\(651\) | −6.14864 | − | 0.668705i | −0.240984 | − | 0.0262086i | ||||
\(652\) | 5.37074 | − | 6.32293i | 0.210334 | − | 0.247625i | ||||
\(653\) | −37.6612 | − | 8.28985i | −1.47380 | − | 0.324407i | −0.595822 | − | 0.803116i | \(-0.703174\pi\) |
−0.877973 | + | 0.478710i | \(0.841105\pi\) | |||||||
\(654\) | −3.28807 | − | 2.49953i | −0.128574 | − | 0.0977392i | ||||
\(655\) | −2.31441 | + | 2.19232i | −0.0904314 | + | 0.0856611i | ||||
\(656\) | −2.91576 | + | 7.31802i | −0.113841 | + | 0.285721i | ||||
\(657\) | 9.75437 | + | 3.28663i | 0.380554 | + | 0.128224i | ||||
\(658\) | 0.596852 | + | 3.64063i | 0.0232677 | + | 0.141927i | ||||
\(659\) | 10.0528 | + | 9.52253i | 0.391602 | + | 0.370945i | 0.858017 | − | 0.513621i | \(-0.171696\pi\) |
−0.466415 | + | 0.884566i | \(0.654455\pi\) | |||||||
\(660\) | 0.473388 | − | 0.219013i | 0.0184266 | − | 0.00852506i | ||||
\(661\) | 22.1917 | − | 16.8697i | 0.863157 | − | 0.656155i | −0.0769498 | − | 0.997035i | \(-0.524518\pi\) |
0.940107 | + | 0.340880i | \(0.110725\pi\) | |||||||
\(662\) | −0.925764 | + | 5.64691i | −0.0359808 | + | 0.219473i | ||||
\(663\) | −0.261096 | + | 0.492480i | −0.0101401 | + | 0.0191263i | ||||
\(664\) | −35.5549 | + | 7.82622i | −1.37980 | + | 0.303716i | ||||
\(665\) | 5.94948 | + | 2.75252i | 0.230711 | + | 0.106738i | ||||
\(666\) | 0.834078 | + | 2.09338i | 0.0323198 | + | 0.0811167i | ||||
\(667\) | 1.85840 | + | 34.2762i | 0.0719575 | + | 1.32718i | ||||
\(668\) | 4.62593 | + | 6.82274i | 0.178983 | + | 0.263980i | ||||
\(669\) | 9.97761 | + | 11.7465i | 0.385757 | + | 0.454148i | ||||
\(670\) | −1.14247 | − | 2.15492i | −0.0441374 | − | 0.0832520i | ||||
\(671\) | −4.20850 | + | 1.41801i | −0.162467 | + | 0.0547416i | ||||
\(672\) | −1.04893 | + | 19.3464i | −0.0404635 | + | 0.746304i | ||||
\(673\) | −10.8454 | + | 6.52549i | −0.418061 | + | 0.251539i | −0.709008 | − | 0.705200i | \(-0.750857\pi\) |
0.290947 | + | 0.956739i | \(0.406030\pi\) | |||||||
\(674\) | 0.961891 | + | 3.46442i | 0.0370507 | + | 0.133444i | ||||
\(675\) | 7.27284 | − | 26.1944i | 0.279932 | − | 1.00822i | ||||
\(676\) | −0.858397 | − | 0.516481i | −0.0330153 | − | 0.0198646i | ||||
\(677\) | −5.92107 | + | 8.73293i | −0.227565 | + | 0.335634i | −0.924280 | − | 0.381714i | \(-0.875334\pi\) |
0.696715 | + | 0.717348i | \(0.254644\pi\) | |||||||
\(678\) | −18.4559 | + | 2.00720i | −0.708795 | + | 0.0770861i | ||||
\(679\) | 3.16510 | − | 0.344225i | 0.121465 | − | 0.0132101i | ||||
\(680\) | −0.0662174 | + | 0.0976633i | −0.00253932 | + | 0.00374522i | ||||
\(681\) | −20.6410 | − | 12.4193i | −0.790966 | − | 0.475908i | ||||
\(682\) | 0.202208 | − | 0.728286i | 0.00774293 | − | 0.0278875i | ||||
\(683\) | −7.68162 | − | 27.6667i | −0.293929 | − | 1.05864i | −0.952105 | − | 0.305772i | \(-0.901085\pi\) |
0.658176 | − | 0.752865i | \(-0.271328\pi\) | |||||||
\(684\) | −10.0932 | + | 6.07286i | −0.385922 | + | 0.232202i | ||||
\(685\) | 0.215165 | − | 3.96848i | 0.00822102 | − | 0.151628i | ||||
\(686\) | −12.3613 | + | 4.16500i | −0.471956 | + | 0.159020i | ||||
\(687\) | −0.957351 | − | 1.80576i | −0.0365252 | − | 0.0688939i | ||||
\(688\) | −9.82121 | − | 11.5624i | −0.374430 | − | 0.440813i | ||||
\(689\) | 22.6112 | + | 33.3491i | 0.861419 | + | 1.27050i | ||||
\(690\) | 0.0875375 | + | 1.61453i | 0.00333250 | + | 0.0614643i | ||||
\(691\) | −16.8023 | − | 42.1706i | −0.639189 | − | 1.60424i | −0.788208 | − | 0.615409i | \(-0.788991\pi\) |
0.149019 | − | 0.988834i | \(-0.452388\pi\) | |||||||
\(692\) | −4.58171 | − | 2.11972i | −0.174170 | − | 0.0805798i | ||||
\(693\) | 1.80476 | − | 0.397258i | 0.0685572 | − | 0.0150906i | ||||
\(694\) | 4.11248 | − | 7.75697i | 0.156108 | − | 0.294450i | ||||
\(695\) | −1.25510 | + | 7.65575i | −0.0476085 | + | 0.290399i | ||||
\(696\) | −20.2602 | + | 15.4014i | −0.767962 | + | 0.583789i | ||||
\(697\) | 0.574489 | − | 0.265787i | 0.0217603 | − | 0.0100674i | ||||
\(698\) | 4.90996 | + | 4.65096i | 0.185845 | + | 0.176042i | ||||
\(699\) | 3.67528 | + | 22.4182i | 0.139012 | + | 0.847934i | ||||
\(700\) | −17.7248 | − | 5.97219i | −0.669936 | − | 0.225728i | ||||
\(701\) | 0.00703909 | − | 0.0176668i | 0.000265863 | − | 0.000667265i | −0.928844 | − | 0.370472i | \(-0.879196\pi\) |
0.929110 | + | 0.369804i | \(0.120575\pi\) | |||||||
\(702\) | 9.69377 | − | 9.18243i | 0.365868 | − | 0.346569i | ||||
\(703\) | −13.7772 | − | 10.4731i | −0.519616 | − | 0.395002i | ||||
\(704\) | −0.560699 | − | 0.123419i | −0.0211321 | − | 0.00465154i | ||||
\(705\) | 0.784687 | − | 0.923805i | 0.0295530 | − | 0.0347925i | ||||
\(706\) | 7.38233 | + | 0.802877i | 0.277838 | + | 0.0302167i | ||||
\(707\) | −49.1525 | −1.84857 | ||||||||
\(708\) | 13.4971 | − | 8.33385i | 0.507252 | − | 0.313205i | ||||
\(709\) | −23.3896 | −0.878416 | −0.439208 | − | 0.898385i | \(-0.644741\pi\) | ||||
−0.439208 | + | 0.898385i | \(0.644741\pi\) | |||||||
\(710\) | −2.74643 | − | 0.298692i | −0.103071 | − | 0.0112097i | ||||
\(711\) | −7.07009 | + | 8.32355i | −0.265149 | + | 0.312158i | ||||
\(712\) | −16.5562 | − | 3.64429i | −0.620469 | − | 0.136576i | ||||
\(713\) | −6.33216 | − | 4.81359i | −0.237141 | − | 0.180270i | ||||
\(714\) | 0.194824 | − | 0.184547i | 0.00729109 | − | 0.00690649i | ||||
\(715\) | −0.328555 | + | 0.824612i | −0.0122873 | + | 0.0308387i | ||||
\(716\) | 0.951395 | + | 0.320562i | 0.0355553 | + | 0.0119800i | ||||
\(717\) | 3.68496 | + | 22.4773i | 0.137618 | + | 0.839430i | ||||
\(718\) | −1.62822 | − | 1.54233i | −0.0607646 | − | 0.0575593i | ||||
\(719\) | 42.5763 | − | 19.6979i | 1.58783 | − | 0.734608i | 0.590458 | − | 0.807069i | \(-0.298947\pi\) |
0.997371 | + | 0.0724608i | \(0.0230852\pi\) | |||||||
\(720\) | −0.593024 | + | 0.450805i | −0.0221007 | + | 0.0168005i | ||||
\(721\) | 2.19989 | − | 13.4187i | 0.0819282 | − | 0.499740i | ||||
\(722\) | −6.47831 | + | 12.2194i | −0.241098 | + | 0.454759i | ||||
\(723\) | −29.1357 | + | 6.41324i | −1.08357 | + | 0.238511i | ||||
\(724\) | 22.0439 | + | 10.1986i | 0.819254 | + | 0.379027i | ||||
\(725\) | −14.2242 | − | 35.7001i | −0.528274 | − | 1.32587i | ||||
\(726\) | 0.519018 | + | 9.57272i | 0.0192625 | + | 0.355277i | ||||
\(727\) | −16.0220 | − | 23.6306i | −0.594222 | − | 0.876411i | 0.405061 | − | 0.914290i | \(-0.367250\pi\) |
−0.999282 | + | 0.0378785i | \(0.987940\pi\) | |||||||
\(728\) | −13.6465 | − | 16.0659i | −0.505774 | − | 0.595443i | ||||
\(729\) | 12.7888 | + | 24.1223i | 0.473660 | + | 0.893418i | ||||
\(730\) | 2.25570 | − | 0.760035i | 0.0834873 | − | 0.0281301i | ||||
\(731\) | −0.0659965 | + | 1.21723i | −0.00244097 | + | 0.0450210i | ||||
\(732\) | −12.9388 | + | 7.78505i | −0.478234 | + | 0.287744i | ||||
\(733\) | 2.52437 | + | 9.09197i | 0.0932398 | + | 0.335820i | 0.995427 | − | 0.0955252i | \(-0.0304531\pi\) |
−0.902187 | + | 0.431345i | \(0.858039\pi\) | |||||||
\(734\) | −2.33896 | + | 8.42418i | −0.0863327 | + | 0.310942i | ||||
\(735\) | 0.337906 | + | 0.203312i | 0.0124639 | + | 0.00749926i | ||||
\(736\) | −13.9830 | + | 20.6234i | −0.515422 | + | 0.760190i | ||||
\(737\) | 5.24949 | − | 0.570917i | 0.193368 | − | 0.0210300i | ||||
\(738\) | −4.34041 | + | 0.472048i | −0.159773 | + | 0.0173763i | ||||
\(739\) | 6.12324 | − | 9.03110i | 0.225247 | − | 0.332214i | −0.698226 | − | 0.715877i | \(-0.746027\pi\) |
0.923473 | + | 0.383663i | \(0.125337\pi\) | |||||||
\(740\) | −1.51581 | − | 0.912031i | −0.0557222 | − | 0.0335269i | ||||
\(741\) | −7.89924 | + | 28.4505i | −0.290186 | + | 1.04515i | ||||
\(742\) | −5.18941 | − | 18.6906i | −0.190509 | − | 0.686152i | ||||
\(743\) | −3.97060 | + | 2.38903i | −0.145667 | + | 0.0876451i | −0.586522 | − | 0.809934i | \(-0.699503\pi\) |
0.440854 | + | 0.897579i | \(0.354676\pi\) | |||||||
\(744\) | 0.319263 | − | 5.88846i | 0.0117048 | − | 0.215881i | ||||
\(745\) | 6.99336 | − | 2.35634i | 0.256217 | − | 0.0863295i | ||||
\(746\) | 3.24189 | + | 6.11486i | 0.118694 | + | 0.223881i | ||||
\(747\) | 11.9562 | + | 14.0759i | 0.437453 | + | 0.515009i | ||||
\(748\) | −0.0624772 | − | 0.0921470i | −0.00228439 | − | 0.00336923i | ||||
\(749\) | 0.869496 | + | 16.0369i | 0.0317707 | + | 0.585976i | ||||
\(750\) | −1.36403 | − | 3.42346i | −0.0498073 | − | 0.125007i | ||||
\(751\) | 46.3978 | + | 21.4659i | 1.69308 | + | 0.783302i | 0.997921 | + | 0.0644455i | \(0.0205279\pi\) |
0.695158 | + | 0.718857i | \(0.255334\pi\) | |||||||
\(752\) | 3.14433 | − | 0.692120i | 0.114662 | − | 0.0252390i | ||||
\(753\) | 10.9090 | − | 20.5766i | 0.397548 | − | 0.749855i | ||||
\(754\) | 3.05365 | − | 18.6264i | 0.111207 | − | 0.678335i | ||||
\(755\) | 4.80997 | − | 3.65645i | 0.175053 | − | 0.133072i | ||||
\(756\) | 19.8054 | − | 9.16296i | 0.720316 | − | 0.333254i | ||||
\(757\) | −15.2529 | − | 14.4483i | −0.554377 | − | 0.525133i | 0.358413 | − | 0.933563i | \(-0.383318\pi\) |
−0.912790 | + | 0.408430i | \(0.866077\pi\) | |||||||
\(758\) | 1.92467 | + | 11.7400i | 0.0699073 | + | 0.426416i | ||||
\(759\) | −3.31730 | − | 1.11773i | −0.120410 | − | 0.0405710i | ||||
\(760\) | −2.31349 | + | 5.80642i | −0.0839190 | + | 0.210621i | ||||
\(761\) | −3.20241 | + | 3.03348i | −0.116087 | + | 0.109964i | −0.743542 | − | 0.668690i | \(-0.766856\pi\) |
0.627454 | + | 0.778653i | \(0.284097\pi\) | |||||||
\(762\) | 2.62160 | + | 1.99289i | 0.0949704 | + | 0.0721946i | ||||
\(763\) | 11.2190 | + | 2.46950i | 0.406156 | + | 0.0894018i | ||||
\(764\) | −19.5773 | + | 23.0482i | −0.708284 | + | 0.833856i | ||||
\(765\) | 0.0595067 | + | 0.00647174i | 0.00215147 | + | 0.000233986i | ||||
\(766\) | 3.70513 | 0.133872 | ||||||||
\(767\) | −6.92236 | + | 26.0926i | −0.249952 | + | 0.942148i | ||||
\(768\) | −12.3746 | −0.446530 | ||||||||
\(769\) | −51.1424 | − | 5.56208i | −1.84424 | − | 0.200574i | −0.881720 | − | 0.471772i | \(-0.843614\pi\) |
−0.962523 | + | 0.271199i | \(0.912580\pi\) | |||||||
\(770\) | 0.276656 | − | 0.325704i | 0.00996999 | − | 0.0117376i | ||||
\(771\) | 0.178311 | + | 0.0392491i | 0.00642170 | + | 0.00141352i | ||||
\(772\) | 20.5939 | + | 15.6550i | 0.741189 | + | 0.563437i | ||||
\(773\) | −11.1114 | + | 10.5253i | −0.399650 | + | 0.378568i | −0.860962 | − | 0.508670i | \(-0.830137\pi\) |
0.461312 | + | 0.887238i | \(0.347379\pi\) | |||||||
\(774\) | 3.11215 | − | 7.81091i | 0.111864 | − | 0.280757i | ||||
\(775\) | 8.43864 | + | 2.84331i | 0.303125 | + | 0.102135i | ||||
\(776\) | 0.491108 | + | 2.99563i | 0.0176298 | + | 0.107537i | ||||
\(777\) | 6.70216 | + | 6.34862i | 0.240439 | + | 0.227756i | ||||
\(778\) | −18.5376 | + | 8.57640i | −0.664605 | + | 0.307479i | ||||
\(779\) | 26.6933 | − | 20.2917i | 0.956386 | − | 0.727025i | ||||
\(780\) | −0.488298 | + | 2.97848i | −0.0174839 | + | 0.106647i | ||||
\(781\) | 2.80154 | − | 5.28427i | 0.100247 | − | 0.189086i | ||||
\(782\) | 0.337046 | − | 0.0741895i | 0.0120528 | − | 0.00265301i | ||||
\(783\) | 40.6926 | + | 18.8264i | 1.45423 | + | 0.672801i | ||||
\(784\) | 0.387723 | + | 0.973110i | 0.0138472 | + | 0.0347539i | ||||
\(785\) | −0.298474 | − | 5.50503i | −0.0106530 | − | 0.196483i | ||||
\(786\) | 3.87939 | + | 5.72168i | 0.138373 | + | 0.204086i | ||||
\(787\) | −15.1165 | − | 17.7965i | −0.538844 | − | 0.634376i | 0.423602 | − | 0.905848i | \(-0.360765\pi\) |
−0.962446 | + | 0.271472i | \(0.912490\pi\) | |||||||
\(788\) | −7.45504 | − | 14.0617i | −0.265575 | − | 0.500928i | ||||
\(789\) | 6.54399 | − | 2.20493i | 0.232972 | − | 0.0784975i | ||||
\(790\) | −0.136727 | + | 2.52178i | −0.00486452 | + | 0.0897208i | ||||
\(791\) | 44.2435 | − | 26.6204i | 1.57312 | − | 0.946514i | ||||
\(792\) | 0.471379 | + | 1.69775i | 0.0167497 | + | 0.0603271i | ||||
\(793\) | 6.87491 | − | 24.7612i | 0.244135 | − | 0.879296i | ||||
\(794\) | 1.66143 | + | 0.999647i | 0.0589618 | + | 0.0354761i | ||||
\(795\) | −3.57646 | + | 5.27488i | −0.126844 | + | 0.187081i | ||||
\(796\) | −18.1644 | + | 1.97550i | −0.643821 | + | 0.0700198i | ||||
\(797\) | 2.55891 | − | 0.278299i | 0.0906414 | − | 0.00985784i | −0.0626859 | − | 0.998033i | \(-0.519967\pi\) |
0.153327 | + | 0.988175i | \(0.451001\pi\) | |||||||
\(798\) | 7.97728 | − | 11.7656i | 0.282393 | − | 0.416498i | ||||
\(799\) | −0.221677 | − | 0.133379i | −0.00784237 | − | 0.00471860i | ||||
\(800\) | 7.46275 | − | 26.8784i | 0.263848 | − | 0.950294i | ||||
\(801\) | 2.30069 | + | 8.28635i | 0.0812910 | + | 0.292784i | ||||
\(802\) | −10.5314 | + | 6.33656i | −0.371878 | + | 0.223752i | ||||
\(803\) | −0.278993 | + | 5.14572i | −0.00984544 | + | 0.181589i | ||||
\(804\) | 17.0149 | − | 5.73300i | 0.600070 | − | 0.202187i | ||||
\(805\) | −2.10650 | − | 3.97328i | −0.0742444 | − | 0.140040i | ||||
\(806\) | 2.83146 | + | 3.33346i | 0.0997341 | + | 0.117416i | ||||
\(807\) | 17.2105 | + | 25.3836i | 0.605838 | + | 0.893544i | ||||
\(808\) | −2.53724 | − | 46.7967i | −0.0892599 | − | 1.64630i | ||||
\(809\) | −12.3409 | − | 30.9732i | −0.433881 | − | 1.08896i | −0.969629 | − | 0.244582i | \(-0.921349\pi\) |
0.535747 | − | 0.844378i | \(-0.320030\pi\) | |||||||
\(810\) | 0.990154 | + | 0.458094i | 0.0347905 | + | 0.0160958i | ||||
\(811\) | 13.4748 | − | 2.96603i | 0.473165 | − | 0.104151i | 0.0280147 | − | 0.999608i | \(-0.491081\pi\) |
0.445150 | + | 0.895456i | \(0.353150\pi\) | |||||||
\(812\) | 14.4496 | − | 27.2548i | 0.507082 | − | 0.956457i | ||||
\(813\) | 3.92066 | − | 23.9150i | 0.137503 | − | 0.838734i | ||||
\(814\) | −0.898132 | + | 0.682742i | −0.0314795 | + | 0.0239301i | ||||
\(815\) | −2.02671 | + | 0.937657i | −0.0709927 | + | 0.0328447i | ||||
\(816\) | −0.170023 | − | 0.161054i | −0.00595200 | − | 0.00563803i | ||||
\(817\) | 10.4467 | + | 63.7223i | 0.365485 | + | 2.22936i | ||||
\(818\) | 17.2255 | + | 5.80396i | 0.602277 | + | 0.202931i | ||||
\(819\) | −3.95801 | + | 9.93387i | −0.138304 | + | 0.347117i | ||||
\(820\) | 2.48835 | − | 2.35709i | 0.0868969 | − | 0.0823131i | ||||
\(821\) | −23.1188 | − | 17.5744i | −0.806851 | − | 0.613352i | 0.118289 | − | 0.992979i | \(-0.462259\pi\) |
−0.925139 | + | 0.379627i | \(0.876052\pi\) | |||||||
\(822\) | −8.41662 | − | 1.85264i | −0.293563 | − | 0.0646182i | ||||
\(823\) | −17.6563 | + | 20.7866i | −0.615458 | + | 0.724574i | −0.978281 | − | 0.207285i | \(-0.933537\pi\) |
0.362822 | + | 0.931858i | \(0.381813\pi\) | |||||||
\(824\) | 12.8892 | + | 1.40178i | 0.449015 | + | 0.0488334i | ||||
\(825\) | 3.91896 | 0.136441 | ||||||||
\(826\) | 7.16914 | − | 10.8400i | 0.249446 | − | 0.377173i | ||||
\(827\) | 51.4773 | 1.79004 | 0.895020 | − | 0.446026i | \(-0.147161\pi\) | ||||
0.895020 | + | 0.446026i | \(0.147161\pi\) | |||||||
\(828\) | 8.03353 | + | 0.873699i | 0.279184 | + | 0.0303631i | ||||
\(829\) | 25.1870 | − | 29.6524i | 0.874781 | − | 1.02987i | −0.124510 | − | 0.992218i | \(-0.539736\pi\) |
0.999291 | − | 0.0376534i | \(-0.0119883\pi\) | |||||||
\(830\) | 4.17097 | + | 0.918099i | 0.144776 | + | 0.0318677i | ||||
\(831\) | −12.0445 | − | 9.15598i | −0.417818 | − | 0.317617i | ||||
\(832\) | 2.41189 | − | 2.28466i | 0.0836173 | − | 0.0792065i | ||||
\(833\) | 0.0311552 | − | 0.0781938i | 0.00107947 | − | 0.00270925i | ||||
\(834\) | 15.9421 | + | 5.37153i | 0.552031 | + | 0.186001i | ||||
\(835\) | −0.358972 | − | 2.18963i | −0.0124227 | − | 0.0757753i | ||||
\(836\) | −4.28141 | − | 4.05557i | −0.148076 | − | 0.140265i | ||||
\(837\) | −9.42918 | + | 4.36241i | −0.325920 | + | 0.150787i | ||||
\(838\) | −4.54291 | + | 3.45343i | −0.156932 | + | 0.119297i | ||||
\(839\) | −7.57216 | + | 46.1881i | −0.261420 | + | 1.59459i | 0.450794 | + | 0.892628i | \(0.351141\pi\) |
−0.712214 | + | 0.701963i | \(0.752307\pi\) | |||||||
\(840\) | 1.56175 | − | 2.94578i | 0.0538856 | − | 0.101639i | ||||
\(841\) | 33.5777 | − | 7.39101i | 1.15785 | − | 0.254862i | ||||
\(842\) | 0.242305 | + | 0.112102i | 0.00835038 | + | 0.00386330i | ||||
\(843\) | 7.36522 | + | 18.4853i | 0.253672 | + | 0.636668i | ||||
\(844\) | −0.191647 | − | 3.53472i | −0.00659676 | − | 0.121670i | ||||
\(845\) | 0.151330 | + | 0.223196i | 0.00520593 | + | 0.00767817i | ||||
\(846\) | 1.15521 | + | 1.36002i | 0.0397170 | + | 0.0467584i | ||||
\(847\) | −12.4896 | − | 23.5579i | −0.429149 | − | 0.809460i | ||||
\(848\) | −16.0422 | + | 5.40524i | −0.550891 | + | 0.185617i | ||||
\(849\) | 1.60430 | − | 29.5896i | 0.0550595 | − | 1.01551i | ||||
\(850\) | −0.331060 | + | 0.199192i | −0.0113553 | + | 0.00683224i | ||||
\(851\) | 3.17619 | + | 11.4396i | 0.108878 | + | 0.392145i | ||||
\(852\) | 5.44066 | − | 19.5955i | 0.186394 | − | 0.671331i | ||||
\(853\) | −19.1617 | − | 11.5292i | −0.656084 | − | 0.394753i | 0.148234 | − | 0.988952i | \(-0.452641\pi\) |
−0.804317 | + | 0.594200i | \(0.797469\pi\) | |||||||
\(854\) | −6.94283 | + | 10.2399i | −0.237579 | + | 0.350402i | ||||
\(855\) | 3.15213 | − | 0.342815i | 0.107801 | − | 0.0117240i | ||||
\(856\) | −15.2234 | + | 1.65564i | −0.520325 | + | 0.0565887i | ||||
\(857\) | −21.5554 | + | 31.7919i | −0.736319 | + | 1.08599i | 0.256521 | + | 0.966539i | \(0.417424\pi\) |
−0.992840 | + | 0.119451i | \(0.961887\pi\) | |||||||
\(858\) | 1.64932 | + | 0.992360i | 0.0563067 | + | 0.0338786i | ||||
\(859\) | 4.26217 | − | 15.3509i | 0.145423 | − | 0.523767i | −0.854567 | − | 0.519341i | \(-0.826177\pi\) |
0.999990 | − | 0.00442592i | \(-0.00140882\pi\) | |||||||
\(860\) | 1.76587 | + | 6.36010i | 0.0602158 | + | 0.216878i | ||||
\(861\) | −15.3261 | + | 9.22138i | −0.522311 | + | 0.314264i | ||||
\(862\) | −0.242076 | + | 4.46482i | −0.00824513 | + | 0.152073i | ||||
\(863\) | −20.3347 | + | 6.85157i | −0.692202 | + | 0.233230i | −0.643346 | − | 0.765576i | \(-0.722454\pi\) |
−0.0488565 | + | 0.998806i | \(0.515558\pi\) | |||||||
\(864\) | 15.2448 | + | 28.7548i | 0.518639 | + | 0.978257i | ||||
\(865\) | 0.879725 | + | 1.03569i | 0.0299116 | + | 0.0352146i | ||||
\(866\) | 10.0416 | + | 14.8103i | 0.341228 | + | 0.503273i | ||||
\(867\) | −1.22926 | − | 22.6724i | −0.0417480 | − | 0.769996i | ||||
\(868\) | 2.64578 | + | 6.64041i | 0.0898036 | + | 0.225390i | ||||
\(869\) | −4.96224 | − | 2.29578i | −0.168333 | − | 0.0778789i | ||||
\(870\) | 2.91570 | − | 0.641795i | 0.0988516 | − | 0.0217589i | ||||
\(871\) | −14.3125 | + | 26.9962i | −0.484960 | + | 0.914732i | ||||
\(872\) | −1.77201 | + | 10.8088i | −0.0600079 | + | 0.366032i | ||||
\(873\) | 1.22593 | − | 0.931927i | 0.0414914 | − | 0.0315410i | ||||
\(874\) | 16.5915 | − | 7.67605i | 0.561216 | − | 0.259646i | ||||
\(875\) | 7.44126 | + | 7.04873i | 0.251560 | + | 0.238291i | ||||
\(876\) | 2.83481 | + | 17.2916i | 0.0957793 | + | 0.584228i | ||||
\(877\) | −53.5554 | − | 18.0449i | −1.80844 | − | 0.609334i | −0.999778 | − | 0.0210582i | \(-0.993296\pi\) |
−0.808660 | − | 0.588276i | \(-0.799807\pi\) | |||||||
\(878\) | 7.95042 | − | 19.9540i | 0.268314 | − | 0.673416i | ||||
\(879\) | 3.90533 | − | 3.69932i | 0.131724 | − | 0.124775i | ||||
\(880\) | −0.296897 | − | 0.225696i | −0.0100084 | − | 0.00760820i | ||||
\(881\) | −2.07576 | − | 0.456910i | −0.0699343 | − | 0.0153937i | 0.179865 | − | 0.983691i | \(-0.442434\pi\) |
−0.249800 | + | 0.968298i | \(0.580365\pi\) | |||||||
\(882\) | −0.375851 | + | 0.442486i | −0.0126556 | + | 0.0148993i | ||||
\(883\) | −14.9786 | − | 1.62902i | −0.504069 | − | 0.0548208i | −0.147448 | − | 0.989070i | \(-0.547106\pi\) |
−0.356621 | + | 0.934249i | \(0.616071\pi\) | |||||||
\(884\) | 0.644219 | 0.0216674 | ||||||||
\(885\) | −4.23926 | + | 0.510443i | −0.142501 | + | 0.0171584i | ||||
\(886\) | 11.7718 | 0.395482 | ||||||||
\(887\) | −23.6388 | − | 2.57087i | −0.793713 | − | 0.0863215i | −0.297726 | − | 0.954651i | \(-0.596228\pi\) |
−0.495987 | + | 0.868330i | \(0.665194\pi\) | |||||||
\(888\) | −5.69838 | + | 6.70865i | −0.191225 | + | 0.225127i | ||||
\(889\) | −8.94499 | − | 1.96894i | −0.300005 | − | 0.0660362i | ||||
\(890\) | 1.58320 | + | 1.20352i | 0.0530689 | + | 0.0403420i | ||||
\(891\) | −1.71477 | + | 1.62431i | −0.0574468 | + | 0.0544165i | ||||
\(892\) | 6.59302 | − | 16.5472i | 0.220751 | − | 0.554042i | ||||
\(893\) | −12.9868 | − | 4.37575i | −0.434586 | − | 0.146429i | ||||
\(894\) | −2.58891 | − | 15.7916i | −0.0865861 | − | 0.528152i | ||||
\(895\) | −0.196193 | − | 0.185844i | −0.00655802 | − | 0.00621208i | ||||
\(896\) | 24.8574 | − | 11.5003i | 0.830428 | − | 0.384197i | ||||
\(897\) | 16.1257 | − | 12.2585i | 0.538422 | − | 0.409298i | ||||
\(898\) | 2.16198 | − | 13.1875i | 0.0721462 | − | 0.440072i | ||||
\(899\) | −6.87933 | + | 12.9758i | −0.229438 | + | 0.432767i | ||||
\(900\) | −8.83528 | + | 1.94479i | −0.294509 | + | 0.0648264i | ||||
\(901\) | 1.23455 | + | 0.571162i | 0.0411287 | + | 0.0190282i | ||||
\(902\) | −0.809062 | − | 2.03059i | −0.0269388 | − | 0.0676113i | ||||
\(903\) | −1.86485 | − | 34.3952i | −0.0620584 | − | 1.14460i | ||||
\(904\) | 27.6284 | + | 40.7489i | 0.918907 | + | 1.35529i | ||||
\(905\) | −4.23260 | − | 4.98300i | −0.140696 | − | 0.165641i | ||||
\(906\) | −6.13697 | − | 11.5756i | −0.203887 | − | 0.384572i | ||||
\(907\) | −0.251060 | + | 0.0845921i | −0.00833633 | + | 0.00280884i | −0.323467 | − | 0.946240i | \(-0.604848\pi\) |
0.315130 | + | 0.949048i | \(0.397952\pi\) | |||||||
\(908\) | −1.50727 | + | 27.7999i | −0.0500204 | + | 0.922572i | ||||
\(909\) | −20.3711 | + | 12.2569i | −0.675668 | + | 0.406536i | ||||
\(910\) | 0.661555 | + | 2.38271i | 0.0219303 | + | 0.0789859i | ||||
\(911\) | −13.7994 | + | 49.7008i | −0.457193 | + | 1.64666i | 0.271959 | + | 0.962309i | \(0.412329\pi\) |
−0.729152 | + | 0.684352i | \(0.760085\pi\) | |||||||
\(912\) | −10.6297 | − | 6.39569i | −0.351985 | − | 0.211782i | ||||
\(913\) | −5.18883 | + | 7.65295i | −0.171725 | + | 0.253276i | ||||
\(914\) | −10.1010 | + | 1.09855i | −0.334112 | + | 0.0363368i | ||||
\(915\) | 4.04085 | − | 0.439469i | 0.133586 | − | 0.0145284i | ||||
\(916\) | −1.32560 | + | 1.95511i | −0.0437990 | + | 0.0645987i | ||||
\(917\) | −16.4747 | − | 9.91248i | −0.544042 | − | 0.327339i | ||||
\(918\) | 0.120597 | − | 0.434351i | 0.00398030 | − | 0.0143357i | ||||
\(919\) | 0.989065 | + | 3.56229i | 0.0326262 | + | 0.117509i | 0.978070 | − | 0.208276i | \(-0.0667852\pi\) |
−0.945444 | + | 0.325785i | \(0.894371\pi\) | |||||||
\(920\) | 3.67411 | − | 2.21064i | 0.121132 | − | 0.0728826i | ||||
\(921\) | −0.347757 | + | 6.41399i | −0.0114590 | + | 0.211348i | ||||
\(922\) | −12.9072 | + | 4.34893i | −0.425075 | + | 0.143224i | ||||
\(923\) | 16.2113 | + | 30.5777i | 0.533600 | + | 1.00648i | ||||
\(924\) | 2.03658 | + | 2.39764i | 0.0669985 | + | 0.0788767i | ||||
\(925\) | −7.45898 | − | 11.0012i | −0.245250 | − | 0.361716i | ||||
\(926\) | 1.01714 | + | 18.7601i | 0.0334254 | + | 0.616496i | ||||
\(927\) | −2.43443 | − | 6.10995i | −0.0799570 | − | 0.200677i | ||||
\(928\) | 41.7551 | + | 19.3180i | 1.37068 | + | 0.634144i | ||||
\(929\) | −34.9187 | + | 7.68618i | −1.14564 | + | 0.252175i | −0.746932 | − | 0.664900i | \(-0.768474\pi\) |
−0.398713 | + | 0.917076i | \(0.630543\pi\) | |||||||
\(930\) | −0.324042 | + | 0.611208i | −0.0106258 | + | 0.0200423i | ||||
\(931\) | 0.721335 | − | 4.39995i | 0.0236408 | − | 0.144202i | ||||
\(932\) | 20.9017 | − | 15.8890i | 0.684657 | − | 0.520463i | ||||
\(933\) | −12.6792 | + | 5.86601i | −0.415097 | + | 0.192045i | ||||
\(934\) | −4.81845 | − | 4.56428i | −0.157665 | − | 0.149348i | ||||
\(935\) | 0.00484823 | + | 0.0295729i | 0.000158554 | + | 0.000967136i | ||||
\(936\) | −9.66206 | − | 3.25553i | −0.315814 | − | 0.106410i | ||||
\(937\) | 2.12358 | − | 5.32978i | 0.0693742 | − | 0.174116i | −0.890201 | − | 0.455567i | \(-0.849436\pi\) |
0.959576 | + | 0.281451i | \(0.0908157\pi\) | |||||||
\(938\) | 10.6796 | − | 10.1163i | 0.348702 | − | 0.330308i | ||||
\(939\) | −1.08869 | − | 0.827598i | −0.0355279 | − | 0.0270076i | ||||
\(940\) | −1.36810 | − | 0.301141i | −0.0446224 | − | 0.00982213i | ||||
\(941\) | 1.67253 | − | 1.96906i | 0.0545229 | − | 0.0641894i | −0.734225 | − | 0.678907i | \(-0.762454\pi\) |
0.788747 | + | 0.614717i | \(0.210730\pi\) | |||||||
\(942\) | −11.8849 | − | 1.29256i | −0.387230 | − | 0.0421138i | ||||
\(943\) | −23.0027 | −0.749070 | ||||||||
\(944\) | −9.78497 | − | 5.73519i | −0.318474 | − | 0.186665i | ||||
\(945\) | −5.87408 | −0.191084 | ||||||||
\(946\) | 4.18483 | + | 0.455127i | 0.136060 | + | 0.0147975i | ||||
\(947\) | 6.10044 | − | 7.18200i | 0.198238 | − | 0.233384i | −0.654057 | − | 0.756445i | \(-0.726934\pi\) |
0.852295 | + | 0.523062i | \(0.175210\pi\) | |||||||
\(948\) | −18.1564 | − | 3.99654i | −0.589694 | − | 0.129801i | ||||
\(949\) | −23.7393 | − | 18.0461i | −0.770609 | − | 0.585802i | ||||
\(950\) | −14.8584 | + | 14.0746i | −0.482070 | + | 0.456641i | ||||
\(951\) | 7.53997 | − | 18.9239i | 0.244500 | − | 0.613650i | ||||
\(952\) | −0.674398 | − | 0.227231i | −0.0218574 | − | 0.00736461i | ||||
\(953\) | −4.55467 | − | 27.7823i | −0.147540 | − | 0.899956i | −0.952033 | − | 0.305994i | \(-0.901011\pi\) |
0.804493 | − | 0.593962i | \(-0.202437\pi\) | |||||||
\(954\) | −6.81151 | − | 6.45221i | −0.220531 | − | 0.208898i | ||||
\(955\) | 7.38774 | − | 3.41793i | 0.239062 | − | 0.110602i | ||||
\(956\) | 20.9568 | − | 15.9309i | 0.677791 | − | 0.515243i | ||||
\(957\) | −1.04568 | + | 6.37837i | −0.0338021 | + | 0.206183i | ||||
\(958\) | 0.618904 | − | 1.16738i | 0.0199959 | − | 0.0377162i | ||||
\(959\) | 23.4094 | − | 5.15279i | 0.755928 | − | 0.166392i | ||||
\(960\) | 0.476909 | + | 0.220641i | 0.0153922 | + | 0.00712117i | ||||
\(961\) | 10.2147 | + | 25.6368i | 0.329505 | + | 0.826995i | ||||
\(962\) | −0.353432 | − | 6.51867i | −0.0113951 | − | 0.210170i | ||||
\(963\) | 4.35940 | + | 6.42964i | 0.140480 | + | 0.207192i | ||||
\(964\) | 22.3213 | + | 26.2787i | 0.718922 | + | 0.846380i | ||||
\(965\) | −3.26165 | − | 6.15212i | −0.104996 | − | 0.198044i | ||||
\(966\) | −9.24138 | + | 3.11378i | −0.297336 | + | 0.100184i | ||||
\(967\) | 1.10288 | − | 20.3414i | 0.0354662 | − | 0.654135i | −0.925716 | − | 0.378220i | \(-0.876536\pi\) |
0.961182 | − | 0.275915i | \(-0.0889809\pi\) | |||||||
\(968\) | 21.7841 | − | 13.1071i | 0.700168 | − | 0.421277i | ||||
\(969\) | 0.266682 | + | 0.960501i | 0.00856705 | + | 0.0308557i | ||||
\(970\) | 0.0952695 | − | 0.343130i | 0.00305892 | − | 0.0110172i | ||||
\(971\) | −22.1258 | − | 13.3127i | −0.710051 | − | 0.427223i | 0.114193 | − | 0.993459i | \(-0.463572\pi\) |
−0.824244 | + | 0.566235i | \(0.808399\pi\) | |||||||
\(972\) | 10.1412 | − | 14.9571i | 0.325279 | − | 0.479751i | ||||
\(973\) | −46.5153 | + | 5.05885i | −1.49121 | + | 0.162179i | ||||
\(974\) | −18.0910 | + | 1.96751i | −0.579672 | + | 0.0630432i | ||||
\(975\) | −12.7262 | + | 18.7697i | −0.407564 | + | 0.601112i | ||||
\(976\) | 9.25132 | + | 5.56633i | 0.296127 | + | 0.178174i | ||||
\(977\) | −10.7109 | + | 38.5773i | −0.342673 | + | 1.23420i | 0.568676 | + | 0.822562i | \(0.307456\pi\) |
−0.911349 | + | 0.411635i | \(0.864958\pi\) | |||||||
\(978\) | 1.29548 | + | 4.66589i | 0.0414248 | + | 0.149199i | ||||
\(979\) | −3.68919 | + | 2.21971i | −0.117907 | + | 0.0709423i | ||||
\(980\) | 0.0246749 | − | 0.455102i | 0.000788210 | − | 0.0145377i | ||||
\(981\) | 5.26551 | − | 1.77416i | 0.168115 | − | 0.0566445i | ||||
\(982\) | 1.79787 | + | 3.39114i | 0.0573723 | + | 0.108216i | ||||
\(983\) | −25.3893 | − | 29.8906i | −0.809792 | − | 0.953361i | 0.189803 | − | 0.981822i | \(-0.439215\pi\) |
−0.999595 | + | 0.0284614i | \(0.990939\pi\) | |||||||
\(984\) | −9.57054 | − | 14.1155i | −0.305098 | − | 0.449986i | ||||
\(985\) | 0.231939 | + | 4.27786i | 0.00739019 | + | 0.136304i | ||||
\(986\) | −0.235864 | − | 0.591973i | −0.00751143 | − | 0.0188523i | ||||
\(987\) | 6.63466 | + | 3.06952i | 0.211184 | + | 0.0977039i | ||||
\(988\) | 33.3272 | − | 7.33587i | 1.06028 | − | 0.233385i | ||||
\(989\) | 20.7499 | − | 39.1384i | 0.659808 | − | 1.24453i | ||||
\(990\) | 0.0334401 | − | 0.203976i | 0.00106280 | − | 0.00648278i | ||||
\(991\) | 25.7810 | − | 19.5982i | 0.818961 | − | 0.622558i | −0.109501 | − | 0.993987i | \(-0.534925\pi\) |
0.928461 | + | 0.371429i | \(0.121132\pi\) | |||||||
\(992\) | −9.67539 | + | 4.47631i | −0.307194 | + | 0.142123i | ||||
\(993\) | 8.23196 | + | 7.79773i | 0.261233 | + | 0.247454i | ||||
\(994\) | −2.69559 | − | 16.4424i | −0.0854989 | − | 0.521521i | ||||
\(995\) | 4.66083 | + | 1.57042i | 0.147758 | + | 0.0497856i | ||||
\(996\) | −11.6369 | + | 29.2063i | −0.368728 | + | 0.925437i | ||||
\(997\) | −2.64116 | + | 2.50184i | −0.0836464 | + | 0.0792341i | −0.728381 | − | 0.685173i | \(-0.759727\pi\) |
0.644734 | + | 0.764407i | \(0.276968\pi\) | |||||||
\(998\) | −8.00760 | − | 6.08722i | −0.253476 | − | 0.192687i | ||||
\(999\) | 15.1449 | + | 3.33364i | 0.479163 | + | 0.105472i |
(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 | 59.2.c.a.4.3 | ✓ | 112 | |
3.2 | odd | 2 | 531.2.i.a.181.2 | 112 | |||
4.3 | odd | 2 | 944.2.m.c.417.1 | 112 | |||
59.15 | even | 29 | inner | 59.2.c.a.15.3 | yes | 112 | |
59.29 | even | 29 | 3481.2.a.p.1.25 | 56 | |||
59.30 | odd | 58 | 3481.2.a.q.1.32 | 56 | |||
177.74 | odd | 58 | 531.2.i.a.487.2 | 112 | |||
236.15 | odd | 58 | 944.2.m.c.369.1 | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
59.2.c.a.4.3 | ✓ | 112 | 1.1 | even | 1 | trivial | |
59.2.c.a.15.3 | yes | 112 | 59.15 | even | 29 | inner | |
531.2.i.a.181.2 | 112 | 3.2 | odd | 2 | |||
531.2.i.a.487.2 | 112 | 177.74 | odd | 58 | |||
944.2.m.c.369.1 | 112 | 236.15 | odd | 58 | |||
944.2.m.c.417.1 | 112 | 4.3 | odd | 2 | |||
3481.2.a.p.1.25 | 56 | 59.29 | even | 29 | |||
3481.2.a.q.1.32 | 56 | 59.30 | odd | 58 |