Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(5,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([36, 80]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.u (of order \(45\), degree \(24\), 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: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(264\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 93.7 | ||
Character | \(\chi\) | \(=\) | 418.93 |
Dual form | 418.2.u.b.9.7 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.990268 | − | 0.139173i | 0.700225 | − | 0.0984102i | ||||
\(3\) | 0.161628 | + | 0.648256i | 0.0933162 | + | 0.374271i | 0.998737 | − | 0.0502444i | \(-0.0160000\pi\) |
−0.905421 | + | 0.424515i | \(0.860444\pi\) | |||||||
\(4\) | 0.961262 | − | 0.275637i | 0.480631 | − | 0.137819i | ||||
\(5\) | 0.0866869 | + | 2.48239i | 0.0387676 | + | 1.11016i | 0.850449 | + | 0.526057i | \(0.176330\pi\) |
−0.811681 | + | 0.584100i | \(0.801447\pi\) | |||||||
\(6\) | 0.250275 | + | 0.619453i | 0.102174 | + | 0.252891i | ||||
\(7\) | −0.941853 | − | 0.419340i | −0.355987 | − | 0.158496i | 0.220948 | − | 0.975286i | \(-0.429085\pi\) |
−0.576935 | + | 0.816790i | \(0.695752\pi\) | |||||||
\(8\) | 0.913545 | − | 0.406737i | 0.322987 | − | 0.143803i | ||||
\(9\) | 2.25473 | − | 1.19886i | 0.751577 | − | 0.399620i | ||||
\(10\) | 0.431325 | + | 2.44617i | 0.136397 | + | 0.773545i | ||||
\(11\) | −3.31068 | + | 0.198423i | −0.998209 | + | 0.0598266i | ||||
\(12\) | 0.334051 | + | 0.578593i | 0.0964322 | + | 0.167025i | ||||
\(13\) | 5.56316 | + | 3.47625i | 1.54294 | + | 0.964137i | 0.991526 | + | 0.129906i | \(0.0414676\pi\) |
0.551415 | + | 0.834231i | \(0.314088\pi\) | |||||||
\(14\) | −0.991048 | − | 0.284178i | −0.264869 | − | 0.0759499i | ||||
\(15\) | −1.59521 | + | 0.457420i | −0.411882 | + | 0.118105i | ||||
\(16\) | 0.848048 | − | 0.529919i | 0.212012 | − | 0.132480i | ||||
\(17\) | 4.37522 | + | 2.32634i | 1.06115 | + | 0.564221i | 0.905829 | − | 0.423643i | \(-0.139249\pi\) |
0.155317 | + | 0.987865i | \(0.450360\pi\) | |||||||
\(18\) | 2.06594 | − | 1.50099i | 0.486946 | − | 0.353787i | ||||
\(19\) | −3.79622 | + | 2.14213i | −0.870912 | + | 0.491439i | ||||
\(20\) | 0.767568 | + | 2.36233i | 0.171633 | + | 0.528233i | ||||
\(21\) | 0.119610 | − | 0.678340i | 0.0261010 | − | 0.148026i | ||||
\(22\) | −3.25085 | + | 0.657250i | −0.693083 | + | 0.140126i | ||||
\(23\) | −4.50639 | − | 1.64019i | −0.939648 | − | 0.342004i | −0.173621 | − | 0.984813i | \(-0.555547\pi\) |
−0.766027 | + | 0.642809i | \(0.777769\pi\) | |||||||
\(24\) | 0.411325 | + | 0.526471i | 0.0839613 | + | 0.107466i | ||||
\(25\) | −1.16692 | + | 0.0815988i | −0.233383 | + | 0.0163198i | ||||
\(26\) | 5.99282 | + | 2.66817i | 1.17529 | + | 0.523272i | ||||
\(27\) | 2.48274 | + | 2.75736i | 0.477804 | + | 0.530655i | ||||
\(28\) | −1.02095 | − | 0.143486i | −0.192942 | − | 0.0271162i | ||||
\(29\) | −6.20440 | − | 5.99152i | −1.15213 | − | 1.11260i | −0.992095 | − | 0.125485i | \(-0.959951\pi\) |
−0.160032 | − | 0.987112i | \(-0.551160\pi\) | |||||||
\(30\) | −1.51603 | + | 0.674979i | −0.276788 | + | 0.123234i | ||||
\(31\) | 0.188993 | − | 0.209898i | 0.0339442 | − | 0.0376988i | −0.725934 | − | 0.687765i | \(-0.758592\pi\) |
0.759878 | + | 0.650066i | \(0.225259\pi\) | |||||||
\(32\) | 0.766044 | − | 0.642788i | 0.135419 | − | 0.113630i | ||||
\(33\) | −0.663729 | − | 2.11410i | −0.115540 | − | 0.368018i | ||||
\(34\) | 4.65640 | + | 1.69479i | 0.798566 | + | 0.290654i | ||||
\(35\) | 0.959319 | − | 2.37440i | 0.162154 | − | 0.401346i | ||||
\(36\) | 1.83693 | − | 1.77391i | 0.306156 | − | 0.295651i | ||||
\(37\) | −1.81699 | + | 1.32012i | −0.298711 | + | 0.217026i | −0.727037 | − | 0.686598i | \(-0.759103\pi\) |
0.428326 | + | 0.903624i | \(0.359103\pi\) | |||||||
\(38\) | −3.46115 | + | 2.64962i | −0.561472 | + | 0.429824i | ||||
\(39\) | −1.35433 | + | 4.16821i | −0.216867 | + | 0.667448i | ||||
\(40\) | 1.08887 | + | 2.23252i | 0.172166 | + | 0.352992i | ||||
\(41\) | −1.22842 | − | 4.92692i | −0.191847 | − | 0.769456i | −0.986686 | − | 0.162636i | \(-0.948000\pi\) |
0.794839 | − | 0.606820i | \(-0.207555\pi\) | |||||||
\(42\) | 0.0240389 | − | 0.688385i | 0.00370929 | − | 0.106220i | ||||
\(43\) | 8.37808 | − | 3.04937i | 1.27765 | − | 0.465025i | 0.387993 | − | 0.921663i | \(-0.373169\pi\) |
0.889653 | + | 0.456638i | \(0.150946\pi\) | |||||||
\(44\) | −3.12774 | + | 1.10328i | −0.471525 | + | 0.166326i | ||||
\(45\) | 3.17150 | + | 5.49319i | 0.472779 | + | 0.818877i | ||||
\(46\) | −4.69081 | − | 0.997062i | −0.691622 | − | 0.147009i | ||||
\(47\) | 4.97140 | − | 10.1929i | 0.725154 | − | 1.48679i | −0.142594 | − | 0.989781i | \(-0.545544\pi\) |
0.867748 | − | 0.497004i | \(-0.165567\pi\) | |||||||
\(48\) | 0.480592 | + | 0.464103i | 0.0693675 | + | 0.0669874i | ||||
\(49\) | −3.97267 | − | 4.41210i | −0.567525 | − | 0.630300i | ||||
\(50\) | −1.14420 | + | 0.243208i | −0.161815 | + | 0.0343948i | ||||
\(51\) | −0.800908 | + | 3.21227i | −0.112150 | + | 0.449807i | ||||
\(52\) | 6.30583 | + | 1.80817i | 0.874461 | + | 0.250748i | ||||
\(53\) | 0.380022 | − | 10.8824i | 0.0522001 | − | 1.49481i | −0.637349 | − | 0.770576i | \(-0.719969\pi\) |
0.689549 | − | 0.724239i | \(-0.257809\pi\) | |||||||
\(54\) | 2.84233 | + | 2.38500i | 0.386792 | + | 0.324557i | ||||
\(55\) | −0.779555 | − | 8.20120i | −0.105115 | − | 1.10585i | ||||
\(56\) | −1.03099 | −0.137771 | ||||||||
\(57\) | −2.00223 | − | 2.11469i | −0.265201 | − | 0.280098i | ||||
\(58\) | −6.97788 | − | 5.06972i | −0.916240 | − | 0.665687i | ||||
\(59\) | 2.41639 | + | 4.95433i | 0.314587 | + | 0.644999i | 0.996236 | − | 0.0866801i | \(-0.0276258\pi\) |
−0.681649 | + | 0.731679i | \(0.738737\pi\) | |||||||
\(60\) | −1.40734 | + | 0.879401i | −0.181686 | + | 0.113530i | ||||
\(61\) | −2.07907 | + | 2.66108i | −0.266197 | + | 0.340717i | −0.902474 | − | 0.430744i | \(-0.858251\pi\) |
0.636277 | + | 0.771461i | \(0.280473\pi\) | |||||||
\(62\) | 0.157942 | − | 0.234158i | 0.0200586 | − | 0.0297381i | ||||
\(63\) | −2.62636 | + | 0.183653i | −0.330890 | + | 0.0231381i | ||||
\(64\) | 0.669131 | − | 0.743145i | 0.0836413 | − | 0.0928931i | ||||
\(65\) | −8.14714 | + | 14.1113i | −1.01053 | + | 1.75029i | ||||
\(66\) | −0.951496 | − | 2.00115i | −0.117121 | − | 0.246325i | ||||
\(67\) | 0.179305 | + | 1.01689i | 0.0219055 | + | 0.124233i | 0.993800 | − | 0.111186i | \(-0.0354650\pi\) |
−0.971894 | + | 0.235419i | \(0.924354\pi\) | |||||||
\(68\) | 4.84696 | + | 1.03025i | 0.587780 | + | 0.124936i | ||||
\(69\) | 0.334904 | − | 3.18640i | 0.0403177 | − | 0.383597i | ||||
\(70\) | 0.619530 | − | 2.48480i | 0.0740481 | − | 0.296991i | ||||
\(71\) | −0.349823 | − | 10.0176i | −0.0415164 | − | 1.18887i | −0.824143 | − | 0.566382i | \(-0.808343\pi\) |
0.782627 | − | 0.622491i | \(-0.213879\pi\) | |||||||
\(72\) | 1.57218 | − | 2.01230i | 0.185283 | − | 0.237151i | ||||
\(73\) | −1.91177 | − | 0.133684i | −0.223755 | − | 0.0156465i | −0.0425613 | − | 0.999094i | \(-0.513552\pi\) |
−0.181194 | + | 0.983447i | \(0.557996\pi\) | |||||||
\(74\) | −1.61558 | + | 1.56015i | −0.187807 | + | 0.181364i | ||||
\(75\) | −0.241504 | − | 0.743273i | −0.0278865 | − | 0.0858257i | ||||
\(76\) | −3.05871 | + | 3.10553i | −0.350858 | + | 0.356229i | ||||
\(77\) | 3.20139 | + | 1.20142i | 0.364832 | + | 0.136914i | ||||
\(78\) | −0.761051 | + | 4.31613i | −0.0861720 | + | 0.488706i | ||||
\(79\) | −5.12677 | + | 12.6892i | −0.576807 | + | 1.42765i | 0.303311 | + | 0.952892i | \(0.401908\pi\) |
−0.880118 | + | 0.474756i | \(0.842536\pi\) | |||||||
\(80\) | 1.38898 | + | 2.05925i | 0.155293 | + | 0.230231i | ||||
\(81\) | 2.89774 | − | 4.29607i | 0.321971 | − | 0.477341i | ||||
\(82\) | −1.90216 | − | 4.70801i | −0.210058 | − | 0.519913i | ||||
\(83\) | −12.4536 | + | 2.64709i | −1.36696 | + | 0.290556i | −0.832212 | − | 0.554458i | \(-0.812926\pi\) |
−0.534745 | + | 0.845014i | \(0.679592\pi\) | |||||||
\(84\) | −0.0719996 | − | 0.685031i | −0.00785580 | − | 0.0747430i | ||||
\(85\) | −5.39561 | + | 11.0626i | −0.585237 | + | 1.19991i | ||||
\(86\) | 7.87215 | − | 4.18570i | 0.848876 | − | 0.451356i | ||||
\(87\) | 2.88123 | − | 4.99044i | 0.308901 | − | 0.535031i | ||||
\(88\) | −2.94375 | + | 1.52784i | −0.313805 | + | 0.162869i | ||||
\(89\) | 9.28812 | − | 7.79365i | 0.984538 | − | 0.826126i | −0.000229552 | − | 1.00000i | \(-0.500073\pi\) |
0.984768 | + | 0.173874i | \(0.0556286\pi\) | |||||||
\(90\) | 3.90513 | + | 4.99834i | 0.411637 | + | 0.526872i | ||||
\(91\) | −3.78195 | − | 5.60697i | −0.396456 | − | 0.587770i | ||||
\(92\) | −4.78392 | − | 0.334524i | −0.498758 | − | 0.0348766i | ||||
\(93\) | 0.166615 | + | 0.0885905i | 0.0172771 | + | 0.00918641i | ||||
\(94\) | 3.50445 | − | 10.7856i | 0.361456 | − | 1.11245i | ||||
\(95\) | −5.64668 | − | 9.23799i | −0.579338 | − | 0.947798i | ||||
\(96\) | 0.540506 | + | 0.392700i | 0.0551651 | + | 0.0400798i | ||||
\(97\) | −10.4805 | + | 1.47294i | −1.06413 | + | 0.149554i | −0.649445 | − | 0.760409i | \(-0.724999\pi\) |
−0.414690 | + | 0.909963i | \(0.636110\pi\) | |||||||
\(98\) | −4.54806 | − | 3.81627i | −0.459423 | − | 0.385502i | ||||
\(99\) | −7.22682 | + | 4.41644i | −0.726323 | + | 0.443869i | ||||
\(100\) | −1.09922 | + | 0.400084i | −0.109922 | + | 0.0400084i | ||||
\(101\) | 1.27066 | + | 0.793995i | 0.126435 | + | 0.0790055i | 0.591662 | − | 0.806186i | \(-0.298472\pi\) |
−0.465227 | + | 0.885191i | \(0.654027\pi\) | |||||||
\(102\) | −0.346052 | + | 3.29247i | −0.0342643 | + | 0.326003i | ||||
\(103\) | 0.187344 | + | 1.78246i | 0.0184595 | + | 0.175631i | 0.999867 | − | 0.0163049i | \(-0.00519023\pi\) |
−0.981408 | + | 0.191935i | \(0.938524\pi\) | |||||||
\(104\) | 6.49611 | + | 0.912969i | 0.636996 | + | 0.0895240i | ||||
\(105\) | 1.69427 | + | 0.238114i | 0.165344 | + | 0.0232376i | ||||
\(106\) | −1.13822 | − | 10.8294i | −0.110553 | − | 1.05184i | ||||
\(107\) | −0.416508 | + | 3.96281i | −0.0402653 | + | 0.383099i | 0.955768 | + | 0.294121i | \(0.0950268\pi\) |
−0.996034 | + | 0.0889781i | \(0.971640\pi\) | |||||||
\(108\) | 3.14660 | + | 1.96621i | 0.302781 | + | 0.189199i | ||||
\(109\) | 6.88518 | − | 2.50600i | 0.659480 | − | 0.240031i | 0.00946826 | − | 0.999955i | \(-0.496986\pi\) |
0.650012 | + | 0.759924i | \(0.274764\pi\) | |||||||
\(110\) | −1.91335 | − | 8.01290i | −0.182431 | − | 0.764000i | ||||
\(111\) | −1.14945 | − | 0.964505i | −0.109101 | − | 0.0915468i | ||||
\(112\) | −1.02095 | + | 0.143486i | −0.0964710 | + | 0.0135581i | ||||
\(113\) | 0.998084 | + | 0.725150i | 0.0938918 | + | 0.0682164i | 0.633741 | − | 0.773546i | \(-0.281519\pi\) |
−0.539849 | + | 0.841762i | \(0.681519\pi\) | |||||||
\(114\) | −2.27705 | − | 1.81546i | −0.213265 | − | 0.170033i | ||||
\(115\) | 3.68095 | − | 11.3288i | 0.343250 | − | 1.05642i | ||||
\(116\) | −7.61554 | − | 4.04925i | −0.707085 | − | 0.375964i | ||||
\(117\) | 16.7110 | + | 1.16854i | 1.54493 | + | 0.108032i | ||||
\(118\) | 3.08238 | + | 4.56982i | 0.283756 | + | 0.420686i | ||||
\(119\) | −3.14528 | − | 4.02578i | −0.288328 | − | 0.369043i | ||||
\(120\) | −1.27125 | + | 1.06671i | −0.116049 | + | 0.0973764i | ||||
\(121\) | 10.9213 | − | 1.31383i | 0.992842 | − | 0.119439i | ||||
\(122\) | −1.68848 | + | 2.92454i | −0.152868 | + | 0.264775i | ||||
\(123\) | 2.99536 | − | 1.59266i | 0.270082 | − | 0.143605i | ||||
\(124\) | 0.123816 | − | 0.253861i | 0.0111190 | − | 0.0227974i | ||||
\(125\) | 0.994476 | + | 9.46180i | 0.0889486 | + | 0.846289i | ||||
\(126\) | −2.57524 | + | 0.547383i | −0.229420 | + | 0.0487648i | ||||
\(127\) | −3.31896 | − | 8.21471i | −0.294510 | − | 0.728938i | −0.999800 | − | 0.0200185i | \(-0.993628\pi\) |
0.705290 | − | 0.708919i | \(-0.250817\pi\) | |||||||
\(128\) | 0.559193 | − | 0.829038i | 0.0494261 | − | 0.0732773i | ||||
\(129\) | 3.33091 | + | 4.93828i | 0.293270 | + | 0.434791i | ||||
\(130\) | −6.10394 | + | 15.1078i | −0.535351 | + | 1.32504i | ||||
\(131\) | −1.72609 | + | 9.78917i | −0.150810 | + | 0.855283i | 0.811708 | + | 0.584064i | \(0.198538\pi\) |
−0.962517 | + | 0.271220i | \(0.912573\pi\) | |||||||
\(132\) | −1.22074 | − | 1.84926i | −0.106252 | − | 0.160957i | ||||
\(133\) | 4.47376 | − | 0.425667i | 0.387924 | − | 0.0369100i | ||||
\(134\) | 0.319083 | + | 0.982036i | 0.0275646 | + | 0.0848350i | ||||
\(135\) | −6.62962 | + | 6.40215i | −0.570587 | + | 0.551010i | ||||
\(136\) | 4.94317 | + | 0.345660i | 0.423873 | + | 0.0296401i | ||||
\(137\) | −5.99950 | + | 7.67901i | −0.512572 | + | 0.656062i | −0.972775 | − | 0.231752i | \(-0.925554\pi\) |
0.460203 | + | 0.887814i | \(0.347777\pi\) | |||||||
\(138\) | −0.111816 | − | 3.20200i | −0.00951843 | − | 0.272572i | ||||
\(139\) | −1.48988 | + | 5.97559i | −0.126370 | + | 0.506843i | 0.873432 | + | 0.486946i | \(0.161889\pi\) |
−0.999802 | + | 0.0198967i | \(0.993666\pi\) | |||||||
\(140\) | 0.267684 | − | 2.54684i | 0.0226234 | − | 0.215247i | ||||
\(141\) | 7.41112 | + | 1.57528i | 0.624129 | + | 0.132663i | ||||
\(142\) | −1.74060 | − | 9.87145i | −0.146068 | − | 0.828394i | ||||
\(143\) | −19.1076 | − | 10.4049i | −1.59786 | − | 0.870101i | ||||
\(144\) | 1.27682 | − | 2.21152i | 0.106402 | − | 0.184293i | ||||
\(145\) | 14.3354 | − | 15.9211i | 1.19049 | − | 1.32218i | ||||
\(146\) | −1.91177 | + | 0.133684i | −0.158219 | + | 0.0110637i | ||||
\(147\) | 2.21807 | − | 3.28843i | 0.182944 | − | 0.271225i | ||||
\(148\) | −1.38273 | + | 1.76981i | −0.113659 | + | 0.145477i | ||||
\(149\) | −20.0980 | + | 12.5586i | −1.64649 | + | 1.02884i | −0.696019 | + | 0.718024i | \(0.745047\pi\) |
−0.950470 | + | 0.310816i | \(0.899398\pi\) | |||||||
\(150\) | −0.342597 | − | 0.702428i | −0.0279729 | − | 0.0573530i | ||||
\(151\) | 15.9949 | + | 11.6210i | 1.30165 | + | 0.945702i | 0.999970 | − | 0.00770766i | \(-0.00245345\pi\) |
0.301677 | + | 0.953410i | \(0.402453\pi\) | |||||||
\(152\) | −2.59673 | + | 3.50100i | −0.210623 | + | 0.283968i | ||||
\(153\) | 12.6539 | 1.02301 | ||||||||
\(154\) | 3.33743 | + | 0.744179i | 0.268938 | + | 0.0599676i | ||||
\(155\) | 0.537432 | + | 0.450959i | 0.0431676 | + | 0.0362219i | ||||
\(156\) | −0.152955 | + | 4.38005i | −0.0122462 | + | 0.350684i | ||||
\(157\) | −19.4513 | − | 5.57757i | −1.55238 | − | 0.445138i | −0.613590 | − | 0.789625i | \(-0.710275\pi\) |
−0.938791 | + | 0.344487i | \(0.888053\pi\) | |||||||
\(158\) | −3.31088 | + | 13.2792i | −0.263400 | + | 1.05644i | ||||
\(159\) | 7.11602 | − | 1.51256i | 0.564337 | − | 0.119954i | ||||
\(160\) | 1.66205 | + | 1.84590i | 0.131397 | + | 0.145931i | ||||
\(161\) | 3.55656 | + | 3.43453i | 0.280296 | + | 0.270679i | ||||
\(162\) | 2.27164 | − | 4.65755i | 0.178477 | − | 0.365932i | ||||
\(163\) | 17.5128 | + | 3.72246i | 1.37171 | + | 0.291566i | 0.834093 | − | 0.551624i | \(-0.185992\pi\) |
0.537616 | + | 0.843190i | \(0.319325\pi\) | |||||||
\(164\) | −2.53888 | − | 4.39746i | −0.198253 | − | 0.343384i | ||||
\(165\) | 5.19048 | − | 1.83090i | 0.404079 | − | 0.142535i | ||||
\(166\) | −11.9640 | + | 4.35453i | −0.928584 | + | 0.337977i | ||||
\(167\) | 0.589278 | − | 16.8747i | 0.0455997 | − | 1.30580i | −0.733838 | − | 0.679324i | \(-0.762273\pi\) |
0.779438 | − | 0.626479i | \(-0.215505\pi\) | |||||||
\(168\) | −0.166637 | − | 0.668344i | −0.0128563 | − | 0.0515638i | ||||
\(169\) | 13.1656 | + | 26.9935i | 1.01274 | + | 2.07642i | ||||
\(170\) | −3.80348 | + | 11.7059i | −0.291714 | + | 0.897803i | ||||
\(171\) | −5.99133 | + | 9.38107i | −0.458168 | + | 0.717388i | ||||
\(172\) | 7.21301 | − | 5.24056i | 0.549987 | − | 0.399589i | ||||
\(173\) | −9.47337 | + | 9.14832i | −0.720247 | + | 0.695534i | −0.961462 | − | 0.274937i | \(-0.911343\pi\) |
0.241215 | + | 0.970472i | \(0.422454\pi\) | |||||||
\(174\) | 2.15866 | − | 5.34286i | 0.163647 | − | 0.405041i | ||||
\(175\) | 1.13328 | + | 0.412481i | 0.0856681 | + | 0.0311806i | ||||
\(176\) | −2.70247 | + | 1.92267i | −0.203706 | + | 0.144926i | ||||
\(177\) | −2.82112 | + | 2.36720i | −0.212048 | + | 0.177930i | ||||
\(178\) | 8.11306 | − | 9.01046i | 0.608099 | − | 0.675363i | ||||
\(179\) | 1.94310 | − | 0.865125i | 0.145234 | − | 0.0646625i | −0.332832 | − | 0.942986i | \(-0.608004\pi\) |
0.478067 | + | 0.878323i | \(0.341338\pi\) | |||||||
\(180\) | 4.56277 | + | 4.40621i | 0.340088 | + | 0.328420i | ||||
\(181\) | 20.5537 | + | 2.88863i | 1.52774 | + | 0.214710i | 0.852439 | − | 0.522827i | \(-0.175123\pi\) |
0.675306 | + | 0.737538i | \(0.264012\pi\) | |||||||
\(182\) | −4.52548 | − | 5.02606i | −0.335451 | − | 0.372556i | ||||
\(183\) | −2.06110 | − | 0.917661i | −0.152361 | − | 0.0678354i | ||||
\(184\) | −4.78392 | + | 0.334524i | −0.352675 | + | 0.0246615i | ||||
\(185\) | −3.43456 | − | 4.39603i | −0.252514 | − | 0.323203i | ||||
\(186\) | 0.177323 | + | 0.0645401i | 0.0130019 | + | 0.00473231i | ||||
\(187\) | −14.9466 | − | 6.83365i | −1.09300 | − | 0.499726i | ||||
\(188\) | 1.96928 | − | 11.1683i | 0.143624 | − | 0.814535i | ||||
\(189\) | −1.18210 | − | 3.63814i | −0.0859854 | − | 0.264636i | ||||
\(190\) | −6.87741 | − | 8.36222i | −0.498940 | − | 0.606659i | ||||
\(191\) | −0.0169063 | + | 0.0122832i | −0.00122330 | + | 0.000888778i | −0.588397 | − | 0.808572i | \(-0.700241\pi\) |
0.587173 | + | 0.809461i | \(0.300241\pi\) | |||||||
\(192\) | 0.589899 | + | 0.313655i | 0.0425723 | + | 0.0226361i | ||||
\(193\) | −14.4785 | + | 9.04720i | −1.04219 | + | 0.651231i | −0.939172 | − | 0.343448i | \(-0.888405\pi\) |
−0.103017 | + | 0.994680i | \(0.532849\pi\) | |||||||
\(194\) | −10.1735 | + | 2.91721i | −0.730416 | + | 0.209443i | ||||
\(195\) | −10.4645 | − | 3.00065i | −0.749380 | − | 0.214881i | ||||
\(196\) | −5.03492 | − | 3.14617i | −0.359637 | − | 0.224726i | ||||
\(197\) | −6.22823 | − | 10.7876i | −0.443743 | − | 0.768585i | 0.554221 | − | 0.832370i | \(-0.313016\pi\) |
−0.997964 | + | 0.0637845i | \(0.979683\pi\) | |||||||
\(198\) | −6.54184 | + | 5.37924i | −0.464908 | + | 0.382286i | ||||
\(199\) | −3.18271 | − | 18.0500i | −0.225616 | − | 1.27953i | −0.861504 | − | 0.507751i | \(-0.830477\pi\) |
0.635888 | − | 0.771782i | \(-0.280634\pi\) | |||||||
\(200\) | −1.03284 | + | 0.549172i | −0.0730330 | + | 0.0388323i | ||||
\(201\) | −0.630223 | + | 0.280593i | −0.0444525 | + | 0.0197915i | ||||
\(202\) | 1.36879 | + | 0.609427i | 0.0963081 | + | 0.0428791i | ||||
\(203\) | 3.33115 | + | 8.24488i | 0.233801 | + | 0.578677i | ||||
\(204\) | 0.115538 | + | 3.30859i | 0.00808931 | + | 0.231647i | ||||
\(205\) | 12.1240 | − | 3.47651i | 0.846780 | − | 0.242810i | ||||
\(206\) | 0.433590 | + | 1.73904i | 0.0302097 | + | 0.121164i | ||||
\(207\) | −12.1271 | + | 1.70435i | −0.842889 | + | 0.118460i | ||||
\(208\) | 6.55995 | 0.454851 | ||||||||
\(209\) | 12.1430 | − | 7.84517i | 0.839951 | − | 0.542662i | ||||
\(210\) | 1.71092 | 0.118065 | ||||||||
\(211\) | 27.2008 | − | 3.82283i | 1.87258 | − | 0.263174i | 0.890971 | − | 0.454061i | \(-0.150025\pi\) |
0.981612 | + | 0.190887i | \(0.0611363\pi\) | |||||||
\(212\) | −2.63430 | − | 10.5656i | −0.180924 | − | 0.725648i | ||||
\(213\) | 6.43745 | − | 1.84591i | 0.441087 | − | 0.126480i | ||||
\(214\) | 0.139062 | + | 3.98221i | 0.00950606 | + | 0.272218i | ||||
\(215\) | 8.29600 | + | 20.5333i | 0.565782 | + | 1.40036i | ||||
\(216\) | 3.38962 | + | 1.50915i | 0.230634 | + | 0.102685i | ||||
\(217\) | −0.266023 | + | 0.118441i | −0.0180588 | + | 0.00804030i | ||||
\(218\) | 6.46940 | − | 3.43984i | 0.438163 | − | 0.232975i | ||||
\(219\) | −0.222335 | − | 1.26092i | −0.0150240 | − | 0.0852052i | ||||
\(220\) | −3.00991 | − | 7.66863i | −0.202928 | − | 0.517019i | ||||
\(221\) | 16.2531 | + | 28.1511i | 1.09330 | + | 1.89365i | ||||
\(222\) | −1.27250 | − | 0.795146i | −0.0854046 | − | 0.0533667i | ||||
\(223\) | 6.27591 | + | 1.79959i | 0.420266 | + | 0.120509i | 0.479104 | − | 0.877758i | \(-0.340962\pi\) |
−0.0588378 | + | 0.998268i | \(0.518739\pi\) | |||||||
\(224\) | −0.991048 | + | 0.284178i | −0.0662172 | + | 0.0189875i | ||||
\(225\) | −2.53326 | + | 1.58296i | −0.168884 | + | 0.105530i | ||||
\(226\) | 1.08929 | + | 0.579187i | 0.0724586 | + | 0.0385269i | ||||
\(227\) | 1.50588 | − | 1.09409i | 0.0999489 | − | 0.0726171i | −0.536688 | − | 0.843781i | \(-0.680325\pi\) |
0.636637 | + | 0.771163i | \(0.280325\pi\) | |||||||
\(228\) | −2.50755 | − | 1.48089i | −0.166067 | − | 0.0980740i | ||||
\(229\) | −2.06650 | − | 6.36002i | −0.136558 | − | 0.420282i | 0.859271 | − | 0.511520i | \(-0.170918\pi\) |
−0.995829 | + | 0.0912382i | \(0.970918\pi\) | |||||||
\(230\) | 2.06846 | − | 11.7308i | 0.136390 | − | 0.773508i | ||||
\(231\) | −0.261392 | + | 2.26950i | −0.0171983 | + | 0.149322i | ||||
\(232\) | −8.10497 | − | 2.94997i | −0.532117 | − | 0.193675i | ||||
\(233\) | 14.6571 | + | 18.7602i | 0.960217 | + | 1.22902i | 0.973401 | + | 0.229108i | \(0.0735810\pi\) |
−0.0131842 | + | 0.999913i | \(0.504197\pi\) | |||||||
\(234\) | 16.7110 | − | 1.16854i | 1.09243 | − | 0.0763901i | ||||
\(235\) | 25.7337 | + | 11.4574i | 1.67868 | + | 0.747396i | ||||
\(236\) | 3.68838 | + | 4.09636i | 0.240093 | + | 0.266651i | ||||
\(237\) | −9.05449 | − | 1.27253i | −0.588152 | − | 0.0826594i | ||||
\(238\) | −3.67495 | − | 3.54886i | −0.238212 | − | 0.230039i | ||||
\(239\) | −10.5077 | + | 4.67831i | −0.679684 | + | 0.302615i | −0.717388 | − | 0.696674i | \(-0.754662\pi\) |
0.0377038 | + | 0.999289i | \(0.487996\pi\) | |||||||
\(240\) | −1.11042 | + | 1.23325i | −0.0716774 | + | 0.0796058i | ||||
\(241\) | 1.31142 | − | 1.10041i | 0.0844760 | − | 0.0708837i | −0.599572 | − | 0.800321i | \(-0.704662\pi\) |
0.684048 | + | 0.729437i | \(0.260218\pi\) | |||||||
\(242\) | 10.6321 | − | 2.82099i | 0.683459 | − | 0.181340i | ||||
\(243\) | 13.7132 | + | 4.99120i | 0.879703 | + | 0.320186i | ||||
\(244\) | −1.26503 | + | 3.13107i | −0.0809854 | + | 0.200446i | ||||
\(245\) | 10.6082 | − | 10.2442i | 0.677731 | − | 0.654477i | ||||
\(246\) | 2.74455 | − | 1.99403i | 0.174986 | − | 0.127135i | ||||
\(247\) | −28.5655 | − | 1.27958i | −1.81758 | − | 0.0814176i | ||||
\(248\) | 0.0872806 | − | 0.268622i | 0.00554232 | − | 0.0170575i | ||||
\(249\) | −3.72884 | − | 7.64526i | −0.236306 | − | 0.484499i | ||||
\(250\) | 2.30163 | + | 9.23132i | 0.145568 | + | 0.583840i | ||||
\(251\) | −0.0531120 | + | 1.52093i | −0.00335240 | + | 0.0960002i | 0.996561 | + | 0.0828593i | \(0.0264052\pi\) |
−0.999914 | + | 0.0131409i | \(0.995817\pi\) | |||||||
\(252\) | −2.47399 | + | 0.900460i | −0.155847 | + | 0.0567237i | ||||
\(253\) | 15.2447 | + | 4.53599i | 0.958425 | + | 0.285175i | ||||
\(254\) | −4.42993 | − | 7.67286i | −0.277958 | − | 0.481438i | ||||
\(255\) | −8.04352 | − | 1.70970i | −0.503705 | − | 0.107066i | ||||
\(256\) | 0.438371 | − | 0.898794i | 0.0273982 | − | 0.0561746i | ||||
\(257\) | −1.50462 | − | 1.45299i | −0.0938555 | − | 0.0906352i | 0.646251 | − | 0.763125i | \(-0.276336\pi\) |
−0.740106 | + | 0.672490i | \(0.765225\pi\) | |||||||
\(258\) | 3.98577 | + | 4.42665i | 0.248143 | + | 0.275591i | ||||
\(259\) | 2.26492 | − | 0.481423i | 0.140735 | − | 0.0299142i | ||||
\(260\) | −3.94194 | + | 15.8103i | −0.244469 | + | 0.980511i | ||||
\(261\) | −21.1722 | − | 6.07104i | −1.31053 | − | 0.375788i | ||||
\(262\) | −0.346907 | + | 9.93412i | −0.0214320 | + | 0.613732i | ||||
\(263\) | −6.44538 | − | 5.40832i | −0.397439 | − | 0.333491i | 0.422063 | − | 0.906566i | \(-0.361306\pi\) |
−0.819503 | + | 0.573075i | \(0.805750\pi\) | |||||||
\(264\) | −1.46623 | − | 1.66136i | −0.0902402 | − | 0.102250i | ||||
\(265\) | 27.0473 | 1.66150 | ||||||||
\(266\) | 4.37098 | − | 1.04415i | 0.268002 | − | 0.0640210i | ||||
\(267\) | 6.55351 | + | 4.76140i | 0.401068 | + | 0.291393i | ||||
\(268\) | 0.452651 | + | 0.928071i | 0.0276500 | + | 0.0566910i | ||||
\(269\) | 0.325508 | − | 0.203400i | 0.0198466 | − | 0.0124015i | −0.519960 | − | 0.854191i | \(-0.674053\pi\) |
0.539806 | + | 0.841789i | \(0.318497\pi\) | |||||||
\(270\) | −5.67410 | + | 7.26251i | −0.345315 | + | 0.441982i | ||||
\(271\) | −15.7613 | + | 23.3671i | −0.957431 | + | 1.41945i | −0.0502364 | + | 0.998737i | \(0.515997\pi\) |
−0.907194 | + | 0.420712i | \(0.861780\pi\) | |||||||
\(272\) | 4.94317 | − | 0.345660i | 0.299724 | − | 0.0209587i | ||||
\(273\) | 3.02348 | − | 3.35792i | 0.182989 | − | 0.203230i | ||||
\(274\) | −4.87240 | + | 8.43925i | −0.294352 | + | 0.509833i | ||||
\(275\) | 3.84710 | − | 0.501690i | 0.231989 | − | 0.0302531i | ||||
\(276\) | −0.556360 | − | 3.15528i | −0.0334889 | − | 0.189925i | ||||
\(277\) | −23.0970 | − | 4.90943i | −1.38777 | − | 0.294979i | −0.547343 | − | 0.836908i | \(-0.684361\pi\) |
−0.840424 | + | 0.541930i | \(0.817694\pi\) | |||||||
\(278\) | −0.643741 | + | 6.12479i | −0.0386090 | + | 0.367340i | ||||
\(279\) | 0.174490 | − | 0.699841i | 0.0104464 | − | 0.0418984i | ||||
\(280\) | −0.0893731 | − | 2.55931i | −0.00534106 | − | 0.152948i | ||||
\(281\) | 8.46156 | − | 10.8303i | 0.504774 | − | 0.646082i | −0.466366 | − | 0.884592i | \(-0.654437\pi\) |
0.971140 | + | 0.238510i | \(0.0766591\pi\) | |||||||
\(282\) | 7.55824 | + | 0.528523i | 0.450086 | + | 0.0314731i | ||||
\(283\) | 11.7500 | − | 11.3468i | 0.698464 | − | 0.674498i | −0.258068 | − | 0.966127i | \(-0.583086\pi\) |
0.956532 | + | 0.291628i | \(0.0941970\pi\) | |||||||
\(284\) | −3.09750 | − | 9.53313i | −0.183803 | − | 0.565687i | ||||
\(285\) | 5.07592 | − | 5.15362i | 0.300672 | − | 0.305274i | ||||
\(286\) | −20.3697 | − | 7.64437i | −1.20449 | − | 0.452021i | ||||
\(287\) | −0.909064 | + | 5.15556i | −0.0536604 | + | 0.304323i | ||||
\(288\) | 0.956610 | − | 2.36769i | 0.0563688 | − | 0.139518i | ||||
\(289\) | 4.22436 | + | 6.26288i | 0.248492 | + | 0.368405i | ||||
\(290\) | 11.9801 | − | 17.7613i | 0.703498 | − | 1.04298i | ||||
\(291\) | −2.64879 | − | 6.55599i | −0.155275 | − | 0.384319i | ||||
\(292\) | −1.87456 | + | 0.398449i | −0.109700 | + | 0.0233175i | ||||
\(293\) | 2.17793 | + | 20.7216i | 0.127236 | + | 1.21057i | 0.852734 | + | 0.522346i | \(0.174943\pi\) |
−0.725497 | + | 0.688225i | \(0.758390\pi\) | |||||||
\(294\) | 1.73883 | − | 3.56512i | 0.101410 | − | 0.207922i | ||||
\(295\) | −12.0891 | + | 6.42789i | −0.703855 | + | 0.374246i | ||||
\(296\) | −1.12296 | + | 1.94502i | −0.0652708 | + | 0.113052i | ||||
\(297\) | −8.76669 | − | 8.63612i | −0.508695 | − | 0.501119i | ||||
\(298\) | −18.1545 | + | 15.2335i | −1.05166 | + | 0.882451i | ||||
\(299\) | −19.3680 | − | 24.7900i | −1.12008 | − | 1.43364i | ||||
\(300\) | −0.437022 | − | 0.647912i | −0.0252315 | − | 0.0374072i | ||||
\(301\) | −9.16965 | − | 0.641204i | −0.528530 | − | 0.0369584i | ||||
\(302\) | 17.4566 | + | 9.28183i | 1.00451 | + | 0.534109i | ||||
\(303\) | −0.309338 | + | 0.952044i | −0.0177710 | + | 0.0546935i | ||||
\(304\) | −2.08422 | + | 3.82832i | −0.119538 | + | 0.219569i | ||||
\(305\) | −6.78607 | − | 4.93037i | −0.388569 | − | 0.282312i | ||||
\(306\) | 12.5307 | − | 1.76108i | 0.716335 | − | 0.100674i | ||||
\(307\) | −0.201529 | − | 0.169103i | −0.0115019 | − | 0.00965123i | 0.637019 | − | 0.770848i | \(-0.280167\pi\) |
−0.648520 | + | 0.761197i | \(0.724612\pi\) | |||||||
\(308\) | 3.40852 | + | 0.272455i | 0.194219 | + | 0.0155246i | ||||
\(309\) | −1.12521 | + | 0.409542i | −0.0640109 | + | 0.0232980i | ||||
\(310\) | 0.594963 | + | 0.371774i | 0.0337917 | + | 0.0211154i | ||||
\(311\) | 0.409794 | − | 3.89893i | 0.0232373 | − | 0.221088i | −0.976741 | − | 0.214425i | \(-0.931212\pi\) |
0.999978 | − | 0.00666331i | \(-0.00212101\pi\) | |||||||
\(312\) | 0.458119 | + | 4.35871i | 0.0259359 | + | 0.246763i | ||||
\(313\) | −8.36318 | − | 1.17537i | −0.472715 | − | 0.0664357i | −0.101207 | − | 0.994865i | \(-0.532270\pi\) |
−0.371508 | + | 0.928430i | \(0.621159\pi\) | |||||||
\(314\) | −20.0382 | − | 2.81619i | −1.13082 | − | 0.158927i | ||||
\(315\) | −0.683568 | − | 6.50372i | −0.0385147 | − | 0.366443i | ||||
\(316\) | −1.43055 | + | 13.6108i | −0.0804748 | + | 0.765666i | ||||
\(317\) | 11.6933 | + | 7.30676i | 0.656759 | + | 0.410389i | 0.816959 | − | 0.576696i | \(-0.195658\pi\) |
−0.160200 | + | 0.987085i | \(0.551214\pi\) | |||||||
\(318\) | 6.83626 | − | 2.48819i | 0.383358 | − | 0.139531i | ||||
\(319\) | 21.7297 | + | 18.6049i | 1.21663 | + | 1.04168i | ||||
\(320\) | 1.90278 | + | 1.59662i | 0.106369 | + | 0.0892538i | ||||
\(321\) | −2.63623 | + | 0.370498i | −0.147140 | + | 0.0206792i | ||||
\(322\) | 3.99994 | + | 2.90613i | 0.222908 | + | 0.161952i | ||||
\(323\) | −21.5926 | + | 0.540978i | −1.20145 | + | 0.0301008i | ||||
\(324\) | 1.60133 | − | 4.92837i | 0.0889625 | − | 0.273798i | ||||
\(325\) | −6.77540 | − | 3.60254i | −0.375832 | − | 0.199833i | ||||
\(326\) | 17.8604 | + | 1.24892i | 0.989198 | + | 0.0691715i | ||||
\(327\) | 2.73737 | + | 4.05832i | 0.151377 | + | 0.224425i | ||||
\(328\) | −3.12618 | − | 4.00132i | −0.172614 | − | 0.220936i | ||||
\(329\) | −8.95662 | + | 7.51550i | −0.493794 | + | 0.414343i | ||||
\(330\) | 4.88516 | − | 2.53546i | 0.268919 | − | 0.139572i | ||||
\(331\) | −5.22215 | + | 9.04503i | −0.287035 | + | 0.497160i | −0.973101 | − | 0.230380i | \(-0.926003\pi\) |
0.686065 | + | 0.727540i | \(0.259336\pi\) | |||||||
\(332\) | −11.2415 | + | 5.97721i | −0.616957 | + | 0.328042i | ||||
\(333\) | −2.51418 | + | 5.15483i | −0.137776 | + | 0.282483i | ||||
\(334\) | −1.76496 | − | 16.7925i | −0.0965744 | − | 0.918844i | ||||
\(335\) | −2.50876 | + | 0.533254i | −0.137068 | + | 0.0291348i | ||||
\(336\) | −0.258031 | − | 0.638648i | −0.0140767 | − | 0.0348411i | ||||
\(337\) | 2.80849 | − | 4.16376i | 0.152988 | − | 0.226814i | −0.744750 | − | 0.667343i | \(-0.767431\pi\) |
0.897738 | + | 0.440529i | \(0.145209\pi\) | |||||||
\(338\) | 16.7942 | + | 24.8985i | 0.913486 | + | 1.35430i | ||||
\(339\) | −0.308765 | + | 0.764219i | −0.0167698 | + | 0.0415067i | ||||
\(340\) | −2.13732 | + | 12.1213i | −0.115912 | + | 0.657372i | ||||
\(341\) | −0.584048 | + | 0.732407i | −0.0316280 | + | 0.0396621i | ||||
\(342\) | −4.62743 | + | 10.1236i | −0.250223 | + | 0.547422i | ||||
\(343\) | 4.12165 | + | 12.6851i | 0.222548 | + | 0.684933i | ||||
\(344\) | 6.41347 | − | 6.19341i | 0.345791 | − | 0.333926i | ||||
\(345\) | 7.93891 | + | 0.555143i | 0.427417 | + | 0.0298879i | ||||
\(346\) | −8.10797 | + | 10.3777i | −0.435887 | + | 0.557910i | ||||
\(347\) | −0.318294 | − | 9.11475i | −0.0170869 | − | 0.489306i | −0.977526 | − | 0.210815i | \(-0.932388\pi\) |
0.960439 | − | 0.278490i | \(-0.0898340\pi\) | |||||||
\(348\) | 1.39407 | − | 5.59129i | 0.0747298 | − | 0.299725i | ||||
\(349\) | −0.352079 | + | 3.34981i | −0.0188464 | + | 0.179311i | −0.999896 | − | 0.0144472i | \(-0.995401\pi\) |
0.981049 | + | 0.193758i | \(0.0620678\pi\) | |||||||
\(350\) | 1.17966 | + | 0.250744i | 0.0630555 | + | 0.0134029i | ||||
\(351\) | 4.22660 | + | 23.9702i | 0.225599 | + | 1.27944i | ||||
\(352\) | −2.40859 | + | 2.28007i | −0.128378 | + | 0.121528i | ||||
\(353\) | 6.11187 | − | 10.5861i | 0.325302 | − | 0.563440i | −0.656271 | − | 0.754525i | \(-0.727867\pi\) |
0.981573 | + | 0.191085i | \(0.0612007\pi\) | |||||||
\(354\) | −2.46421 | + | 2.73679i | −0.130972 | + | 0.145459i | ||||
\(355\) | 24.8373 | − | 1.73679i | 1.31823 | − | 0.0921795i | ||||
\(356\) | 6.78009 | − | 10.0519i | 0.359344 | − | 0.532749i | ||||
\(357\) | 2.10137 | − | 2.68963i | 0.111216 | − | 0.142350i | ||||
\(358\) | 1.80379 | − | 1.12713i | 0.0953333 | − | 0.0595709i | ||||
\(359\) | −1.03142 | − | 2.11473i | −0.0544365 | − | 0.111611i | 0.869842 | − | 0.493331i | \(-0.164221\pi\) |
−0.924278 | + | 0.381720i | \(0.875332\pi\) | |||||||
\(360\) | 5.13159 | + | 3.72832i | 0.270458 | + | 0.196500i | ||||
\(361\) | 9.82255 | − | 16.2640i | 0.516976 | − | 0.856000i | ||||
\(362\) | 20.7557 | 1.09090 | ||||||||
\(363\) | 2.61688 | + | 6.86742i | 0.137351 | + | 0.360446i | ||||
\(364\) | −5.18093 | − | 4.34732i | −0.271555 | − | 0.227861i | ||||
\(365\) | 0.166130 | − | 4.75734i | 0.00869563 | − | 0.249010i | ||||
\(366\) | −2.16876 | − | 0.621881i | −0.113363 | − | 0.0325062i | ||||
\(367\) | −0.724503 | + | 2.90582i | −0.0378188 | + | 0.151683i | −0.986237 | − | 0.165340i | \(-0.947128\pi\) |
0.948418 | + | 0.317023i | \(0.102683\pi\) | |||||||
\(368\) | −4.69081 | + | 0.997062i | −0.244525 | + | 0.0519754i | ||||
\(369\) | −8.67645 | − | 9.63617i | −0.451678 | − | 0.501639i | ||||
\(370\) | −4.01294 | − | 3.87525i | −0.208623 | − | 0.201465i | ||||
\(371\) | −4.92136 | + | 10.0903i | −0.255504 | + | 0.523861i | ||||
\(372\) | 0.184579 | + | 0.0392335i | 0.00956998 | + | 0.00203416i | ||||
\(373\) | −1.99062 | − | 3.44785i | −0.103070 | − | 0.178523i | 0.809878 | − | 0.586598i | \(-0.199533\pi\) |
−0.912948 | + | 0.408076i | \(0.866200\pi\) | |||||||
\(374\) | −15.7522 | − | 4.68698i | −0.814525 | − | 0.242358i | ||||
\(375\) | −5.97294 | + | 2.17397i | −0.308441 | + | 0.112263i | ||||
\(376\) | 0.395782 | − | 11.3337i | 0.0204109 | − | 0.584492i | ||||
\(377\) | −13.6880 | − | 54.8998i | −0.704970 | − | 2.82748i | ||||
\(378\) | −1.67693 | − | 3.43822i | −0.0862521 | − | 0.176843i | ||||
\(379\) | 2.99251 | − | 9.21000i | 0.153715 | − | 0.473086i | −0.844314 | − | 0.535849i | \(-0.819991\pi\) |
0.998028 | + | 0.0627638i | \(0.0199915\pi\) | |||||||
\(380\) | −7.97428 | − | 7.32369i | −0.409072 | − | 0.375697i | ||||
\(381\) | 4.78880 | − | 3.47927i | 0.245338 | − | 0.178248i | ||||
\(382\) | −0.0150323 | + | 0.0145165i | −0.000769120 | + | 0.000742730i | ||||
\(383\) | −10.9398 | + | 27.0770i | −0.558999 | + | 1.38357i | 0.337835 | + | 0.941205i | \(0.390305\pi\) |
−0.896834 | + | 0.442367i | \(0.854139\pi\) | |||||||
\(384\) | 0.627810 | + | 0.228504i | 0.0320378 | + | 0.0116608i | ||||
\(385\) | −2.70487 | + | 8.05123i | −0.137853 | + | 0.410329i | ||||
\(386\) | −13.0785 | + | 10.9742i | −0.665679 | + | 0.558571i | ||||
\(387\) | 15.2345 | − | 16.9197i | 0.774415 | − | 0.860075i | ||||
\(388\) | −9.66852 | + | 4.30470i | −0.490845 | + | 0.218538i | ||||
\(389\) | −26.0747 | − | 25.1800i | −1.32204 | − | 1.27668i | −0.935015 | − | 0.354609i | \(-0.884614\pi\) |
−0.387024 | − | 0.922069i | \(-0.626497\pi\) | |||||||
\(390\) | −10.7803 | − | 1.51507i | −0.545881 | − | 0.0767186i | ||||
\(391\) | −15.9008 | − | 17.6596i | −0.804137 | − | 0.893085i | ||||
\(392\) | −5.42378 | − | 2.41482i | −0.273942 | − | 0.121967i | ||||
\(393\) | −6.62487 | + | 0.463256i | −0.334181 | + | 0.0233682i | ||||
\(394\) | −7.66896 | − | 9.81582i | −0.386357 | − | 0.494514i | ||||
\(395\) | −31.9440 | − | 11.6267i | −1.60728 | − | 0.585000i | ||||
\(396\) | −5.72953 | + | 6.23734i | −0.287920 | + | 0.313438i | ||||
\(397\) | 0.593928 | − | 3.36833i | 0.0298084 | − | 0.169052i | −0.966269 | − | 0.257533i | \(-0.917090\pi\) |
0.996078 | + | 0.0884815i | \(0.0282014\pi\) | |||||||
\(398\) | −5.66381 | − | 17.4314i | −0.283901 | − | 0.873758i | ||||
\(399\) | 0.999028 | + | 2.83135i | 0.0500140 | + | 0.141745i | ||||
\(400\) | −0.946361 | + | 0.687572i | −0.0473181 | + | 0.0343786i | ||||
\(401\) | −15.4491 | − | 8.21444i | −0.771492 | − | 0.410209i | 0.0365521 | − | 0.999332i | \(-0.488363\pi\) |
−0.808044 | + | 0.589122i | \(0.799474\pi\) | |||||||
\(402\) | −0.585038 | + | 0.365573i | −0.0291791 | + | 0.0182331i | ||||
\(403\) | 1.78106 | − | 0.510710i | 0.0887208 | − | 0.0254403i | ||||
\(404\) | 1.44029 | + | 0.412996i | 0.0716571 | + | 0.0205473i | ||||
\(405\) | 10.9157 | + | 6.82089i | 0.542406 | + | 0.338933i | ||||
\(406\) | 4.44620 | + | 7.70104i | 0.220661 | + | 0.382196i | ||||
\(407\) | 5.75353 | − | 4.73103i | 0.285192 | − | 0.234508i | ||||
\(408\) | 0.574880 | + | 3.26031i | 0.0284608 | + | 0.161409i | ||||
\(409\) | 8.95863 | − | 4.76339i | 0.442976 | − | 0.235534i | −0.232973 | − | 0.972483i | \(-0.574845\pi\) |
0.675948 | + | 0.736949i | \(0.263734\pi\) | |||||||
\(410\) | 11.5222 | − | 5.13002i | 0.569042 | − | 0.253354i | ||||
\(411\) | −5.94766 | − | 2.64807i | −0.293376 | − | 0.130619i | ||||
\(412\) | 0.671398 | + | 1.66177i | 0.0330774 | + | 0.0818694i | ||||
\(413\) | −0.198334 | − | 5.67954i | −0.00975938 | − | 0.279472i | ||||
\(414\) | −11.7718 | + | 3.37552i | −0.578554 | + | 0.165898i | ||||
\(415\) | −7.65066 | − | 30.6851i | −0.375556 | − | 1.50627i | ||||
\(416\) | 6.49611 | − | 0.912969i | 0.318498 | − | 0.0447620i | ||||
\(417\) | −4.11452 | −0.201489 | ||||||||
\(418\) | 10.9330 | − | 9.45881i | 0.534751 | − | 0.462645i | ||||
\(419\) | 10.4393 | 0.509995 | 0.254998 | − | 0.966942i | \(-0.417925\pi\) | ||||
0.254998 | + | 0.966942i | \(0.417925\pi\) | |||||||
\(420\) | 1.69427 | − | 0.238114i | 0.0826720 | − | 0.0116188i | ||||
\(421\) | 0.121547 | + | 0.487497i | 0.00592383 | + | 0.0237592i | 0.973185 | − | 0.230024i | \(-0.0738805\pi\) |
−0.967261 | + | 0.253783i | \(0.918325\pi\) | |||||||
\(422\) | 26.4041 | − | 7.57125i | 1.28533 | − | 0.368563i | ||||
\(423\) | −1.01069 | − | 28.9422i | −0.0491412 | − | 1.40722i | ||||
\(424\) | −4.07911 | − | 10.0962i | −0.198099 | − | 0.490312i | ||||
\(425\) | −5.29534 | − | 2.35764i | −0.256862 | − | 0.114362i | ||||
\(426\) | 6.11790 | − | 2.72386i | 0.296413 | − | 0.131972i | ||||
\(427\) | 3.07407 | − | 1.63451i | 0.148765 | − | 0.0790997i | ||||
\(428\) | 0.691924 | + | 3.92410i | 0.0334454 | + | 0.189678i | ||||
\(429\) | 3.65670 | − | 14.0684i | 0.176547 | − | 0.679227i | ||||
\(430\) | 11.0729 | + | 19.1789i | 0.533985 | + | 0.924889i | ||||
\(431\) | −28.0865 | − | 17.5504i | −1.35288 | − | 0.845373i | −0.356830 | − | 0.934169i | \(-0.616143\pi\) |
−0.996050 | + | 0.0887960i | \(0.971698\pi\) | |||||||
\(432\) | 3.56666 | + | 1.02272i | 0.171601 | + | 0.0492058i | ||||
\(433\) | 15.9018 | − | 4.55977i | 0.764192 | − | 0.219128i | 0.129170 | − | 0.991623i | \(-0.458769\pi\) |
0.635022 | + | 0.772494i | \(0.280991\pi\) | |||||||
\(434\) | −0.246950 | + | 0.154311i | −0.0118540 | + | 0.00740719i | ||||
\(435\) | 12.6380 | + | 6.71973i | 0.605945 | + | 0.322186i | ||||
\(436\) | 5.92771 | − | 4.30673i | 0.283886 | − | 0.206255i | ||||
\(437\) | 20.6208 | − | 3.42675i | 0.986424 | − | 0.163924i | ||||
\(438\) | −0.395657 | − | 1.21771i | −0.0189052 | − | 0.0581843i | ||||
\(439\) | 0.801995 | − | 4.54834i | 0.0382771 | − | 0.217080i | −0.959670 | − | 0.281130i | \(-0.909291\pi\) |
0.997947 | + | 0.0640501i | \(0.0204017\pi\) | |||||||
\(440\) | −4.04789 | − | 7.17510i | −0.192976 | − | 0.342059i | ||||
\(441\) | −14.2468 | − | 5.18541i | −0.678419 | − | 0.246924i | ||||
\(442\) | 20.0128 | + | 25.6152i | 0.951911 | + | 1.21839i | ||||
\(443\) | −2.95399 | + | 0.206563i | −0.140348 | + | 0.00981411i | −0.139758 | − | 0.990186i | \(-0.544632\pi\) |
−0.000590465 | 1.00000i | \(0.500188\pi\) | ||||||||
\(444\) | −1.37078 | − | 0.610310i | −0.0650543 | − | 0.0289640i | ||||
\(445\) | 20.1520 | + | 22.3811i | 0.955298 | + | 1.06097i | ||||
\(446\) | 6.46529 | + | 0.908637i | 0.306140 | + | 0.0430252i | ||||
\(447\) | −11.3896 | − | 10.9988i | −0.538709 | − | 0.520225i | ||||
\(448\) | −0.941853 | + | 0.419340i | −0.0444984 | + | 0.0198120i | ||||
\(449\) | −12.0364 | + | 13.3678i | −0.568034 | + | 0.630866i | −0.956896 | − | 0.290430i | \(-0.906202\pi\) |
0.388862 | + | 0.921296i | \(0.372868\pi\) | |||||||
\(450\) | −2.28830 | + | 1.92011i | −0.107871 | + | 0.0905149i | ||||
\(451\) | 5.04452 | + | 16.0677i | 0.237537 | + | 0.756600i | ||||
\(452\) | 1.15930 | + | 0.421950i | 0.0545288 | + | 0.0198469i | ||||
\(453\) | −4.94814 | + | 12.2471i | −0.232484 | + | 0.575418i | ||||
\(454\) | 1.33896 | − | 1.29302i | 0.0628405 | − | 0.0606843i | ||||
\(455\) | 13.5908 | − | 9.87431i | 0.637148 | − | 0.462915i | ||||
\(456\) | −2.68925 | − | 1.11749i | −0.125936 | − | 0.0523312i | ||||
\(457\) | −6.73441 | + | 20.7264i | −0.315023 | + | 0.969540i | 0.660723 | + | 0.750630i | \(0.270250\pi\) |
−0.975745 | + | 0.218910i | \(0.929750\pi\) | |||||||
\(458\) | −2.93153 | − | 6.01053i | −0.136981 | − | 0.280854i | ||||
\(459\) | 4.44795 | + | 17.8398i | 0.207613 | + | 0.832689i | ||||
\(460\) | 0.415716 | − | 11.9045i | 0.0193829 | − | 0.555052i | ||||
\(461\) | −28.1845 | + | 10.2583i | −1.31268 | + | 0.477777i | −0.901106 | − | 0.433598i | \(-0.857244\pi\) |
−0.411576 | + | 0.911376i | \(0.635021\pi\) | |||||||
\(462\) | 0.0570057 | + | 2.28379i | 0.00265215 | + | 0.106252i | ||||
\(463\) | 1.51929 | + | 2.63149i | 0.0706074 | + | 0.122296i | 0.899168 | − | 0.437604i | \(-0.144173\pi\) |
−0.828560 | + | 0.559900i | \(0.810840\pi\) | |||||||
\(464\) | −8.43665 | − | 1.79327i | −0.391662 | − | 0.0832502i | ||||
\(465\) | −0.205473 | + | 0.421282i | −0.00952857 | + | 0.0195365i | ||||
\(466\) | 17.1253 | + | 16.5378i | 0.793316 | + | 0.766097i | ||||
\(467\) | −16.5291 | − | 18.3574i | −0.764874 | − | 0.849479i | 0.227367 | − | 0.973809i | \(-0.426988\pi\) |
−0.992241 | + | 0.124331i | \(0.960322\pi\) | |||||||
\(468\) | 16.3857 | − | 3.48289i | 0.757429 | − | 0.160996i | ||||
\(469\) | 0.257543 | − | 1.03295i | 0.0118922 | − | 0.0476971i | ||||
\(470\) | 27.0778 | + | 7.76443i | 1.24900 | + | 0.358146i | ||||
\(471\) | 0.471811 | − | 13.5109i | 0.0217399 | − | 0.622550i | ||||
\(472\) | 4.22259 | + | 3.54317i | 0.194360 | + | 0.163088i | ||||
\(473\) | −27.1321 | + | 11.7579i | −1.24754 | + | 0.540629i | ||||
\(474\) | −9.14347 | −0.419974 | ||||||||
\(475\) | 4.25508 | − | 2.80946i | 0.195236 | − | 0.128907i | ||||
\(476\) | −4.13309 | − | 3.00287i | −0.189440 | − | 0.137636i | ||||
\(477\) | −12.1897 | − | 24.9925i | −0.558126 | − | 1.14433i | ||||
\(478\) | −9.75430 | + | 6.09516i | −0.446151 | + | 0.278786i | ||||
\(479\) | −5.77448 | + | 7.39099i | −0.263843 | + | 0.337703i | −0.901629 | − | 0.432510i | \(-0.857628\pi\) |
0.637787 | + | 0.770213i | \(0.279850\pi\) | |||||||
\(480\) | −0.927980 | + | 1.37579i | −0.0423563 | + | 0.0627958i | ||||
\(481\) | −14.6972 | + | 1.02773i | −0.670137 | + | 0.0468605i | ||||
\(482\) | 1.14551 | − | 1.27222i | 0.0521765 | − | 0.0579479i | ||||
\(483\) | −1.65162 | + | 2.86068i | −0.0751511 | + | 0.130166i | ||||
\(484\) | 10.1360 | − | 4.27324i | 0.460729 | − | 0.194238i | ||||
\(485\) | −4.56493 | − | 25.8890i | −0.207283 | − | 1.17556i | ||||
\(486\) | 14.2744 | + | 3.03412i | 0.647500 | + | 0.137630i | ||||
\(487\) | 0.402445 | − | 3.82901i | 0.0182365 | − | 0.173509i | −0.981613 | − | 0.190884i | \(-0.938864\pi\) |
0.999849 | + | 0.0173755i | \(0.00553109\pi\) | |||||||
\(488\) | −0.816961 | + | 3.27665i | −0.0369821 | + | 0.148327i | ||||
\(489\) | 0.417458 | + | 11.9544i | 0.0188781 | + | 0.540599i | ||||
\(490\) | 9.07921 | − | 11.6209i | 0.410157 | − | 0.524977i | ||||
\(491\) | −7.02143 | − | 0.490986i | −0.316873 | − | 0.0221579i | −0.0895654 | − | 0.995981i | \(-0.528548\pi\) |
−0.227307 | + | 0.973823i | \(0.572992\pi\) | |||||||
\(492\) | 2.44033 | − | 2.35660i | 0.110018 | − | 0.106244i | ||||
\(493\) | −13.2073 | − | 40.6478i | −0.594825 | − | 1.83068i | ||||
\(494\) | −28.4656 | + | 2.70843i | −1.28073 | + | 0.121858i | ||||
\(495\) | −11.5898 | − | 17.5569i | −0.520922 | − | 0.789125i | ||||
\(496\) | 0.0490462 | − | 0.278155i | 0.00220224 | − | 0.0124895i | ||||
\(497\) | −3.87131 | + | 9.58183i | −0.173652 | + | 0.429804i | ||||
\(498\) | −4.75657 | − | 7.05190i | −0.213147 | − | 0.316003i | ||||
\(499\) | −12.7099 | + | 18.8432i | −0.568975 | + | 0.843540i | −0.998219 | − | 0.0596486i | \(-0.981002\pi\) |
0.429245 | + | 0.903188i | \(0.358780\pi\) | |||||||
\(500\) | 3.56398 | + | 8.82116i | 0.159386 | + | 0.394494i | ||||
\(501\) | 11.0344 | − | 2.34543i | 0.492980 | − | 0.104786i | ||||
\(502\) | 0.159077 | + | 1.51352i | 0.00709996 | + | 0.0675517i | ||||
\(503\) | −7.76113 | + | 15.9127i | −0.346052 | + | 0.709511i | −0.998846 | − | 0.0480239i | \(-0.984708\pi\) |
0.652794 | + | 0.757535i | \(0.273597\pi\) | |||||||
\(504\) | −2.32460 | + | 1.23601i | −0.103546 | + | 0.0550563i | ||||
\(505\) | −1.86085 | + | 3.22310i | −0.0828070 | + | 0.143426i | ||||
\(506\) | 15.7276 | + | 2.37019i | 0.699178 | + | 0.105368i | ||||
\(507\) | −15.3708 | + | 12.8976i | −0.682639 | + | 0.572802i | ||||
\(508\) | −5.45467 | − | 6.98166i | −0.242012 | − | 0.309761i | ||||
\(509\) | 9.87295 | + | 14.6372i | 0.437611 | + | 0.648785i | 0.981742 | − | 0.190215i | \(-0.0609186\pi\) |
−0.544132 | + | 0.839000i | \(0.683141\pi\) | |||||||
\(510\) | −8.20318 | − | 0.573622i | −0.363243 | − | 0.0254004i | ||||
\(511\) | 1.74454 | + | 0.927591i | 0.0771741 | + | 0.0410342i | ||||
\(512\) | 0.309017 | − | 0.951057i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | −15.3317 | − | 5.14919i | −0.676909 | − | 0.227342i | ||||
\(514\) | −1.69219 | − | 1.22945i | −0.0746394 | − | 0.0542287i | ||||
\(515\) | −4.40851 | + | 0.619575i | −0.194262 | + | 0.0273018i | ||||
\(516\) | 4.56305 | + | 3.82885i | 0.200877 | + | 0.168556i | ||||
\(517\) | −14.4362 | + | 34.7319i | −0.634905 | + | 1.52751i | ||||
\(518\) | 2.17587 | − | 0.791953i | 0.0956024 | − | 0.0347964i | ||||
\(519\) | −7.46163 | − | 4.66254i | −0.327529 | − | 0.204663i | ||||
\(520\) | −1.70322 | + | 16.2050i | −0.0746909 | + | 0.710637i | ||||
\(521\) | 3.26773 | + | 31.0904i | 0.143162 | + | 1.36209i | 0.796321 | + | 0.604874i | \(0.206776\pi\) |
−0.653160 | + | 0.757220i | \(0.726557\pi\) | |||||||
\(522\) | −21.8111 | − | 3.06535i | −0.954647 | − | 0.134167i | ||||
\(523\) | 28.4612 | + | 3.99996i | 1.24452 | + | 0.174906i | 0.730525 | − | 0.682886i | \(-0.239276\pi\) |
0.513996 | + | 0.857792i | \(0.328165\pi\) | |||||||
\(524\) | 1.03903 | + | 9.88573i | 0.0453903 | + | 0.431860i | ||||
\(525\) | −0.0842228 | + | 0.801326i | −0.00367578 | + | 0.0349727i | ||||
\(526\) | −7.13535 | − | 4.45866i | −0.311116 | − | 0.194407i | ||||
\(527\) | 1.31518 | − | 0.478687i | 0.0572902 | − | 0.0208519i | ||||
\(528\) | −1.68318 | − | 1.44114i | −0.0732509 | − | 0.0627174i | ||||
\(529\) | −0.00168731 | − | 0.00141582i | −7.33614e−5 | − | 6.15575e-5i | ||||
\(530\) | 26.7841 | − | 3.76426i | 1.16343 | − | 0.163509i | ||||
\(531\) | 11.3879 | + | 8.27377i | 0.494191 | + | 0.359051i | ||||
\(532\) | 4.18313 | − | 1.64231i | 0.181362 | − | 0.0712033i | ||||
\(533\) | 10.2933 | − | 31.6795i | 0.445852 | − | 1.37219i | ||||
\(534\) | 7.15239 | + | 3.80299i | 0.309514 | + | 0.164572i | ||||
\(535\) | −9.87333 | − | 0.690410i | −0.426861 | − | 0.0298490i | ||||
\(536\) | 0.577408 | + | 0.856043i | 0.0249402 | + | 0.0369754i | ||||
\(537\) | 0.874884 | + | 1.11980i | 0.0377540 | + | 0.0483229i | ||||
\(538\) | 0.294033 | − | 0.246723i | 0.0126767 | − | 0.0106370i | ||||
\(539\) | 14.0277 | + | 13.8188i | 0.604217 | + | 0.595218i | ||||
\(540\) | −4.60813 | + | 7.98152i | −0.198302 | + | 0.343470i | ||||
\(541\) | −12.8129 | + | 6.81272i | −0.550868 | + | 0.292902i | −0.721479 | − | 0.692437i | \(-0.756537\pi\) |
0.170610 | + | 0.985339i | \(0.445426\pi\) | |||||||
\(542\) | −12.3558 | + | 25.3332i | −0.530729 | + | 1.08816i | ||||
\(543\) | 1.44949 | + | 13.7910i | 0.0622035 | + | 0.591826i | ||||
\(544\) | 4.84696 | − | 1.03025i | 0.207811 | − | 0.0441717i | ||||
\(545\) | 6.81772 | + | 16.8744i | 0.292039 | + | 0.722822i | ||||
\(546\) | 2.52673 | − | 3.74603i | 0.108134 | − | 0.160315i | ||||
\(547\) | −14.0823 | − | 20.8778i | −0.602114 | − | 0.892670i | 0.397576 | − | 0.917569i | \(-0.369851\pi\) |
−0.999690 | + | 0.0248987i | \(0.992074\pi\) | |||||||
\(548\) | −3.65047 | + | 9.03522i | −0.155940 | + | 0.385966i | ||||
\(549\) | −1.49746 | + | 8.49254i | −0.0639102 | + | 0.362453i | ||||
\(550\) | 3.73984 | − | 1.03222i | 0.159467 | − | 0.0440141i | ||||
\(551\) | 36.3879 | + | 9.45448i | 1.55018 | + | 0.402774i | ||||
\(552\) | −0.990075 | − | 3.04714i | −0.0421404 | − | 0.129695i | ||||
\(553\) | 10.1498 | − | 9.80151i | 0.431612 | − | 0.416803i | ||||
\(554\) | −23.5555 | − | 1.64716i | −1.00078 | − | 0.0699812i | ||||
\(555\) | 2.29463 | − | 2.93700i | 0.0974018 | − | 0.124669i | ||||
\(556\) | 0.214929 | + | 6.15477i | 0.00911504 | + | 0.261021i | ||||
\(557\) | −5.20460 | + | 20.8745i | −0.220526 | + | 0.884481i | 0.753390 | + | 0.657574i | \(0.228417\pi\) |
−0.973916 | + | 0.226908i | \(0.927138\pi\) | |||||||
\(558\) | 0.0753928 | − | 0.717314i | 0.00319163 | − | 0.0303663i | ||||
\(559\) | 57.2089 | + | 12.1601i | 2.41968 | + | 0.514319i | ||||
\(560\) | −0.444690 | − | 2.52196i | −0.0187916 | − | 0.106572i | ||||
\(561\) | 2.01417 | − | 10.7937i | 0.0850382 | − | 0.455711i | ||||
\(562\) | 6.87193 | − | 11.9025i | 0.289875 | − | 0.502078i | ||||
\(563\) | 22.2563 | − | 24.7181i | 0.937992 | − | 1.04175i | −0.0610567 | − | 0.998134i | \(-0.519447\pi\) |
0.999049 | − | 0.0436112i | \(-0.0138863\pi\) | |||||||
\(564\) | 7.55824 | − | 0.528523i | 0.318259 | − | 0.0222548i | ||||
\(565\) | −1.71358 | + | 2.54049i | −0.0720910 | + | 0.106879i | ||||
\(566\) | 10.0565 | − | 12.8717i | 0.422704 | − | 0.541037i | ||||
\(567\) | −4.53076 | + | 2.83113i | −0.190274 | + | 0.118896i | ||||
\(568\) | −4.39411 | − | 9.00927i | −0.184373 | − | 0.378021i | ||||
\(569\) | −1.59851 | − | 1.16138i | −0.0670130 | − | 0.0486878i | 0.553774 | − | 0.832667i | \(-0.313187\pi\) |
−0.620787 | + | 0.783979i | \(0.713187\pi\) | |||||||
\(570\) | 4.30928 | − | 5.80990i | 0.180496 | − | 0.243350i | ||||
\(571\) | 44.1325 | 1.84689 | 0.923444 | − | 0.383733i | \(-0.125362\pi\) | ||||
0.923444 | + | 0.383733i | \(0.125362\pi\) | |||||||
\(572\) | −21.2354 | − | 4.73505i | −0.887897 | − | 0.197983i | ||||
\(573\) | −0.0106952 | − | 0.00897432i | −0.000446798 | − | 0.000374908i | ||||
\(574\) | −0.182702 | + | 5.23190i | −0.00762584 | + | 0.218375i | ||||
\(575\) | 5.39242 | + | 1.54625i | 0.224880 | + | 0.0644832i | ||||
\(576\) | 0.617781 | − | 2.47779i | 0.0257409 | − | 0.103241i | ||||
\(577\) | −28.4164 | + | 6.04008i | −1.18299 | + | 0.251452i | −0.757085 | − | 0.653317i | \(-0.773377\pi\) |
−0.425904 | + | 0.904769i | \(0.640044\pi\) | |||||||
\(578\) | 5.05488 | + | 5.61401i | 0.210255 | + | 0.233512i | ||||
\(579\) | −8.20505 | − | 7.92352i | −0.340990 | − | 0.329290i | ||||
\(580\) | 9.39165 | − | 19.2557i | 0.389967 | − | 0.799551i | ||||
\(581\) | 12.8395 | + | 2.72911i | 0.532671 | + | 0.113223i | ||||
\(582\) | −3.53543 | − | 6.12355i | −0.146548 | − | 0.253829i | ||||
\(583\) | 0.901182 | + | 36.1036i | 0.0373232 | + | 1.49526i | ||||
\(584\) | −1.80086 | + | 0.655459i | −0.0745201 | + | 0.0271231i | ||||
\(585\) | −1.45216 | + | 41.5844i | −0.0600394 | + | 1.71930i | ||||
\(586\) | 5.04063 | + | 20.2169i | 0.208227 | + | 0.835151i | ||||
\(587\) | −0.893073 | − | 1.83107i | −0.0368611 | − | 0.0755764i | 0.879569 | − | 0.475772i | \(-0.157831\pi\) |
−0.916430 | + | 0.400195i | \(0.868942\pi\) | |||||||
\(588\) | 1.22574 | − | 3.77243i | 0.0505485 | − | 0.155572i | ||||
\(589\) | −0.267830 | + | 1.20167i | −0.0110357 | + | 0.0495139i | ||||
\(590\) | −11.0769 | + | 8.04782i | −0.456027 | + | 0.331323i | ||||
\(591\) | 5.98648 | − | 5.78107i | 0.246251 | − | 0.237802i | ||||
\(592\) | −0.841337 | + | 2.08238i | −0.0345787 | + | 0.0855854i | ||||
\(593\) | 23.2548 | + | 8.46407i | 0.954961 | + | 0.347578i | 0.772057 | − | 0.635553i | \(-0.219228\pi\) |
0.182904 | + | 0.983131i | \(0.441450\pi\) | |||||||
\(594\) | −9.88329 | − | 7.33199i | −0.405516 | − | 0.300835i | ||||
\(595\) | 9.72089 | − | 8.15680i | 0.398518 | − | 0.334396i | ||||
\(596\) | −15.8578 | + | 17.6118i | −0.649560 | + | 0.721409i | ||||
\(597\) | 11.1866 | − | 4.98061i | 0.457838 | − | 0.203843i | ||||
\(598\) | −22.6297 | − | 21.8532i | −0.925395 | − | 0.893644i | ||||
\(599\) | 35.9597 | + | 5.05380i | 1.46927 | + | 0.206493i | 0.827960 | − | 0.560787i | \(-0.189502\pi\) |
0.641312 | + | 0.767280i | \(0.278390\pi\) | |||||||
\(600\) | −0.522941 | − | 0.580785i | −0.0213490 | − | 0.0237104i | ||||
\(601\) | −1.49290 | − | 0.664682i | −0.0608967 | − | 0.0271129i | 0.376062 | − | 0.926594i | \(-0.377278\pi\) |
−0.436959 | + | 0.899481i | \(0.643945\pi\) | |||||||
\(602\) | −9.16965 | + | 0.641204i | −0.373727 | + | 0.0261335i | ||||
\(603\) | 1.62339 | + | 2.07784i | 0.0661095 | + | 0.0846164i | ||||
\(604\) | 18.5785 | + | 6.76201i | 0.755947 | + | 0.275142i | ||||
\(605\) | 4.20816 | + | 26.9969i | 0.171086 | + | 1.09758i | ||||
\(606\) | −0.173829 | + | 0.985831i | −0.00706130 | + | 0.0400466i | ||||
\(607\) | −4.19657 | − | 12.9157i | −0.170334 | − | 0.524233i | 0.829056 | − | 0.559166i | \(-0.188878\pi\) |
−0.999390 | + | 0.0349324i | \(0.988878\pi\) | |||||||
\(608\) | −1.53114 | + | 4.08113i | −0.0620958 | + | 0.165512i | ||||
\(609\) | −4.80639 | + | 3.49205i | −0.194765 | + | 0.141505i | ||||
\(610\) | −7.40620 | − | 3.93795i | −0.299868 | − | 0.159443i | ||||
\(611\) | 63.0897 | − | 39.4228i | 2.55233 | − | 1.59488i | ||||
\(612\) | 12.1637 | − | 3.48789i | 0.491689 | − | 0.140989i | ||||
\(613\) | 9.64959 | + | 2.76697i | 0.389743 | + | 0.111757i | 0.464786 | − | 0.885423i | \(-0.346131\pi\) |
−0.0750424 | + | 0.997180i | \(0.523909\pi\) | |||||||
\(614\) | −0.223103 | − | 0.139410i | −0.00900369 | − | 0.00562613i | ||||
\(615\) | 4.21326 | + | 7.29758i | 0.169895 | + | 0.294267i | ||||
\(616\) | 3.41327 | − | 0.204571i | 0.137525 | − | 0.00824240i | ||||
\(617\) | 1.03677 | + | 5.87983i | 0.0417389 | + | 0.236713i | 0.998539 | − | 0.0540330i | \(-0.0172076\pi\) |
−0.956800 | + | 0.290746i | \(0.906097\pi\) | |||||||
\(618\) | −1.05726 | + | 0.562155i | −0.0425293 | + | 0.0226132i | ||||
\(619\) | −11.8853 | + | 5.29169i | −0.477712 | + | 0.212691i | −0.631444 | − | 0.775421i | \(-0.717537\pi\) |
0.153732 | + | 0.988113i | \(0.450871\pi\) | |||||||
\(620\) | 0.640914 | + | 0.285353i | 0.0257397 | + | 0.0114601i | ||||
\(621\) | −6.66559 | − | 16.4979i | −0.267481 | − | 0.662039i | ||||
\(622\) | −0.136820 | − | 3.91802i | −0.00548599 | − | 0.157098i | ||||
\(623\) | −12.0162 | + | 3.44560i | −0.481420 | + | 0.138045i | ||||
\(624\) | 1.06028 | + | 4.25253i | 0.0424450 | + | 0.170237i | ||||
\(625\) | −29.1936 | + | 4.10289i | −1.16774 | + | 0.164116i | ||||
\(626\) | −8.44537 | −0.337545 | ||||||||
\(627\) | 7.04834 | + | 6.60379i | 0.281484 | + | 0.263730i | ||||
\(628\) | −20.2352 | −0.807471 | ||||||||
\(629\) | −11.0208 | + | 1.54887i | −0.439427 | + | 0.0617574i | ||||
\(630\) | −1.58206 | − | 6.34529i | −0.0630307 | − | 0.252802i | ||||
\(631\) | −10.7730 | + | 3.08910i | −0.428865 | + | 0.122975i | −0.483124 | − | 0.875552i | \(-0.660498\pi\) |
0.0542591 | + | 0.998527i | \(0.482720\pi\) | |||||||
\(632\) | 0.477626 | + | 13.6774i | 0.0189989 | + | 0.544058i | ||||
\(633\) | 6.87460 | + | 17.0152i | 0.273241 | + | 0.676295i | ||||
\(634\) | 12.5964 | + | 5.60827i | 0.500266 | + | 0.222733i | ||||
\(635\) | 20.1044 | − | 8.95105i | 0.797818 | − | 0.355212i | ||||
\(636\) | 6.42344 | − | 3.41540i | 0.254706 | − | 0.135430i | ||||
\(637\) | −6.76305 | − | 38.3552i | −0.267962 | − | 1.51969i | ||||
\(638\) | 24.1075 | + | 15.3997i | 0.954425 | + | 0.609679i | ||||
\(639\) | −12.7985 | − | 22.1677i | −0.506301 | − | 0.876939i | ||||
\(640\) | 2.10647 | + | 1.31627i | 0.0832655 | + | 0.0520300i | ||||
\(641\) | 31.0358 | + | 8.89937i | 1.22584 | + | 0.351504i | 0.825258 | − | 0.564756i | \(-0.191030\pi\) |
0.400583 | + | 0.916261i | \(0.368808\pi\) | |||||||
\(642\) | −2.55901 | + | 0.733785i | −0.100996 | + | 0.0289602i | ||||
\(643\) | −5.98622 | + | 3.74061i | −0.236074 | + | 0.147515i | −0.642798 | − | 0.766036i | \(-0.722227\pi\) |
0.406724 | + | 0.913551i | \(0.366671\pi\) | |||||||
\(644\) | 4.36547 | + | 2.32116i | 0.172024 | + | 0.0914666i | ||||
\(645\) | −11.9700 | + | 8.69670i | −0.471317 | + | 0.342432i | ||||
\(646\) | −21.3072 | + | 3.54082i | −0.838320 | + | 0.139312i | ||||
\(647\) | 3.98331 | + | 12.2594i | 0.156600 | + | 0.481965i | 0.998319 | − | 0.0579498i | \(-0.0184563\pi\) |
−0.841719 | + | 0.539915i | \(0.818456\pi\) | |||||||
\(648\) | 0.899844 | − | 5.10327i | 0.0353492 | − | 0.200475i | ||||
\(649\) | −8.98295 | − | 15.9228i | −0.352612 | − | 0.625023i | ||||
\(650\) | −7.21084 | − | 2.62453i | −0.282832 | − | 0.102943i | ||||
\(651\) | −0.119777 | − | 0.153307i | −0.00469443 | − | 0.00600859i | ||||
\(652\) | 17.8604 | − | 1.24892i | 0.699469 | − | 0.0489116i | ||||
\(653\) | 34.8624 | + | 15.5217i | 1.36427 | + | 0.607412i | 0.952685 | − | 0.303959i | \(-0.0983087\pi\) |
0.411585 | + | 0.911371i | \(0.364975\pi\) | |||||||
\(654\) | 3.27554 | + | 3.63785i | 0.128084 | + | 0.142251i | ||||
\(655\) | −24.4501 | − | 3.43624i | −0.955346 | − | 0.134265i | ||||
\(656\) | −3.65263 | − | 3.52730i | −0.142611 | − | 0.137718i | ||||
\(657\) | −4.47079 | + | 1.99052i | −0.174422 | + | 0.0776577i | ||||
\(658\) | −7.82350 | + | 8.68888i | −0.304992 | + | 0.338728i | ||||
\(659\) | 5.62878 | − | 4.72311i | 0.219266 | − | 0.183986i | −0.526538 | − | 0.850152i | \(-0.676510\pi\) |
0.745804 | + | 0.666166i | \(0.232066\pi\) | |||||||
\(660\) | 4.48475 | − | 3.19066i | 0.174569 | − | 0.124196i | ||||
\(661\) | −0.0782404 | − | 0.0284772i | −0.00304320 | − | 0.00110763i | 0.340498 | − | 0.940245i | \(-0.389404\pi\) |
−0.343541 | + | 0.939138i | \(0.611627\pi\) | |||||||
\(662\) | −3.91251 | + | 9.68379i | −0.152064 | + | 0.376371i | ||||
\(663\) | −15.6222 | + | 15.0862i | −0.606716 | + | 0.585899i | ||||
\(664\) | −10.3002 | + | 7.48356i | −0.399726 | + | 0.290418i | ||||
\(665\) | 1.44449 | + | 11.0687i | 0.0560148 | + | 0.429226i | ||||
\(666\) | −1.77230 | + | 5.45457i | −0.0686751 | + | 0.211360i | ||||
\(667\) | 18.1322 | + | 37.1765i | 0.702082 | + | 1.43948i | ||||
\(668\) | −4.08485 | − | 16.3834i | −0.158048 | − | 0.633894i | ||||
\(669\) | −0.152229 | + | 4.35926i | −0.00588551 | + | 0.168539i | ||||
\(670\) | −2.41014 | + | 0.877217i | −0.0931116 | + | 0.0338899i | ||||
\(671\) | 6.35511 | − | 9.22254i | 0.245336 | − | 0.356032i | ||||
\(672\) | −0.344402 | − | 0.596522i | −0.0132856 | − | 0.0230113i | ||||
\(673\) | −35.9661 | − | 7.64482i | −1.38639 | − | 0.294686i | −0.546507 | − | 0.837454i | \(-0.684043\pi\) |
−0.839883 | + | 0.542768i | \(0.817376\pi\) | |||||||
\(674\) | 2.20168 | − | 4.51411i | 0.0848054 | − | 0.173877i | ||||
\(675\) | −3.12215 | − | 3.01502i | −0.120172 | − | 0.116048i | ||||
\(676\) | 20.0960 | + | 22.3189i | 0.772923 | + | 0.858418i | ||||
\(677\) | −5.80999 | + | 1.23495i | −0.223296 | + | 0.0474630i | −0.318201 | − | 0.948023i | \(-0.603079\pi\) |
0.0949049 | + | 0.995486i | \(0.469745\pi\) | |||||||
\(678\) | −0.199401 | + | 0.799753i | −0.00765795 | + | 0.0307143i | ||||
\(679\) | 10.4888 | + | 3.00761i | 0.402522 | + | 0.115421i | ||||
\(680\) | −0.429554 | + | 12.3008i | −0.0164727 | + | 0.471715i | ||||
\(681\) | 0.952642 | + | 0.799362i | 0.0365053 | + | 0.0306316i | ||||
\(682\) | −0.476433 | + | 0.806564i | −0.0182436 | + | 0.0308849i | ||||
\(683\) | 26.7153 | 1.02223 | 0.511115 | − | 0.859512i | \(-0.329232\pi\) | ||||
0.511115 | + | 0.859512i | \(0.329232\pi\) | |||||||
\(684\) | −3.17346 | + | 10.6691i | −0.121340 | + | 0.407943i | ||||
\(685\) | −19.5824 | − | 14.2274i | −0.748203 | − | 0.543602i | ||||
\(686\) | 5.84697 | + | 11.9881i | 0.223238 | + | 0.457706i | ||||
\(687\) | 3.78892 | − | 2.36758i | 0.144556 | − | 0.0903288i | ||||
\(688\) | 5.48909 | − | 7.02572i | 0.209270 | − | 0.267853i | ||||
\(689\) | 39.9441 | − | 59.2195i | 1.52175 | − | 2.25608i | ||||
\(690\) | 7.93891 | − | 0.555143i | 0.302229 | − | 0.0211339i | ||||
\(691\) | −2.12865 | + | 2.36411i | −0.0809778 | + | 0.0899349i | −0.782272 | − | 0.622937i | \(-0.785939\pi\) |
0.701294 | + | 0.712872i | \(0.252606\pi\) | |||||||
\(692\) | −6.58477 | + | 11.4051i | −0.250315 | + | 0.433559i | ||||
\(693\) | 8.65859 | − | 1.12914i | 0.328913 | − | 0.0428926i | ||||
\(694\) | −1.58372 | − | 8.98175i | −0.0601174 | − | 0.340943i | ||||
\(695\) | −14.9629 | − | 3.18046i | −0.567575 | − | 0.120642i | ||||
\(696\) | 0.602342 | − | 5.73090i | 0.0228317 | − | 0.217229i | ||||
\(697\) | 6.08711 | − | 24.4141i | 0.230566 | − | 0.924749i | ||||
\(698\) | 0.117551 | + | 3.36621i | 0.00444936 | + | 0.127413i | ||||
\(699\) | −9.79242 | + | 12.5337i | −0.370383 | + | 0.474069i | ||||
\(700\) | 1.20308 | + | 0.0841273i | 0.0454720 | + | 0.00317971i | ||||
\(701\) | −17.9981 | + | 17.3805i | −0.679778 | + | 0.656454i | −0.952112 | − | 0.305749i | \(-0.901093\pi\) |
0.272335 | + | 0.962203i | \(0.412204\pi\) | |||||||
\(702\) | 7.52148 | + | 23.1487i | 0.283880 | + | 0.873693i | ||||
\(703\) | 4.06982 | − | 8.90369i | 0.153496 | − | 0.335809i | ||||
\(704\) | −2.06782 | + | 2.59309i | −0.0779340 | + | 0.0977307i | ||||
\(705\) | −3.26802 | + | 18.5338i | −0.123081 | + | 0.698025i | ||||
\(706\) | 4.57909 | − | 11.3337i | 0.172336 | − | 0.426548i | ||||
\(707\) | −0.863819 | − | 1.28066i | −0.0324873 | − | 0.0481644i | ||||
\(708\) | −2.05935 | + | 3.05311i | −0.0773950 | + | 0.114743i | ||||
\(709\) | 10.5039 | + | 25.9980i | 0.394481 | + | 0.976374i | 0.985494 | + | 0.169712i | \(0.0542837\pi\) |
−0.591013 | + | 0.806662i | \(0.701272\pi\) | |||||||
\(710\) | 24.3539 | − | 5.17658i | 0.913985 | − | 0.194273i | ||||
\(711\) | 3.65311 | + | 34.7570i | 0.137002 | + | 1.30349i | ||||
\(712\) | 5.31515 | − | 10.8977i | 0.199194 | − | 0.408408i | ||||
\(713\) | −1.19595 | + | 0.635899i | −0.0447887 | + | 0.0238146i | ||||
\(714\) | 1.70659 | − | 2.95591i | 0.0638677 | − | 0.110622i | ||||
\(715\) | 24.1726 | − | 48.3345i | 0.904004 | − | 1.80761i | ||||
\(716\) | 1.62937 | − | 1.36720i | 0.0608924 | − | 0.0510948i | ||||
\(717\) | −4.73108 | − | 6.05551i | −0.176685 | − | 0.226147i | ||||
\(718\) | −1.31570 | − | 1.95061i | −0.0491015 | − | 0.0727960i | ||||
\(719\) | −23.7256 | − | 1.65905i | −0.884814 | − | 0.0618722i | −0.379886 | − | 0.925033i | \(-0.624037\pi\) |
−0.504928 | + | 0.863161i | \(0.668481\pi\) | |||||||
\(720\) | 5.60053 | + | 2.97785i | 0.208719 | + | 0.110978i | ||||
\(721\) | 0.571005 | − | 1.75737i | 0.0212653 | − | 0.0654480i | ||||
\(722\) | 7.46345 | − | 17.4727i | 0.277761 | − | 0.650268i | ||||
\(723\) | 0.925312 | + | 0.672278i | 0.0344127 | + | 0.0250023i | ||||
\(724\) | 20.5537 | − | 2.88863i | 0.763872 | − | 0.107355i | ||||
\(725\) | 7.72892 | + | 6.48533i | 0.287045 | + | 0.240859i | ||||
\(726\) | 3.54718 | + | 6.43639i | 0.131648 | + | 0.238877i | ||||
\(727\) | 12.2512 | − | 4.45909i | 0.454373 | − | 0.165378i | −0.104687 | − | 0.994505i | \(-0.533384\pi\) |
0.559061 | + | 0.829127i | \(0.311162\pi\) | |||||||
\(728\) | −5.73554 | − | 3.58396i | −0.212573 | − | 0.132831i | ||||
\(729\) | 0.605866 | − | 5.76443i | 0.0224395 | − | 0.213498i | ||||
\(730\) | −0.497580 | − | 4.73416i | −0.0184163 | − | 0.175219i | ||||
\(731\) | 43.7498 | + | 6.14863i | 1.61814 | + | 0.227415i | ||||
\(732\) | −2.23420 | − | 0.313996i | −0.0825783 | − | 0.0116056i | ||||
\(733\) | 2.99274 | + | 28.4740i | 0.110539 | + | 1.05171i | 0.899396 | + | 0.437135i | \(0.144007\pi\) |
−0.788857 | + | 0.614577i | \(0.789327\pi\) | |||||||
\(734\) | −0.313040 | + | 2.97838i | −0.0115545 | + | 0.109934i | ||||
\(735\) | 8.35544 | + | 5.22106i | 0.308195 | + | 0.192582i | ||||
\(736\) | −4.50639 | + | 1.64019i | −0.166108 | + | 0.0604583i | ||||
\(737\) | −0.795394 | − | 3.33101i | −0.0292987 | − | 0.122699i | ||||
\(738\) | −9.93310 | − | 8.33486i | −0.365643 | − | 0.306811i | ||||
\(739\) | −5.91843 | + | 0.831781i | −0.217713 | + | 0.0305975i | −0.247186 | − | 0.968968i | \(-0.579506\pi\) |
0.0294733 | + | 0.999566i | \(0.490617\pi\) | |||||||
\(740\) | −4.51322 | − | 3.27905i | −0.165909 | − | 0.120540i | ||||
\(741\) | −3.78751 | − | 18.7246i | −0.139138 | − | 0.687865i | ||||
\(742\) | −3.46917 | + | 10.6770i | −0.127357 | + | 0.391965i | ||||
\(743\) | 0.559989 | + | 0.297752i | 0.0205440 | + | 0.0109234i | 0.479712 | − | 0.877426i | \(-0.340741\pi\) |
−0.459168 | + | 0.888350i | \(0.651852\pi\) | |||||||
\(744\) | 0.188243 | + | 0.0131632i | 0.00690132 | + | 0.000482588i | ||||
\(745\) | −32.9175 | − | 48.8023i | −1.20601 | − | 1.78798i | ||||
\(746\) | −2.45109 | − | 3.13725i | −0.0897408 | − | 0.114863i | ||||
\(747\) | −24.9059 | + | 20.8986i | −0.911261 | + | 0.764638i | ||||
\(748\) | −16.2512 | − | 2.44909i | −0.594201 | − | 0.0895478i | ||||
\(749\) | 2.05405 | − | 3.55772i | 0.0750534 | − | 0.129996i | ||||
\(750\) | −5.61225 | + | 2.98409i | −0.204930 | + | 0.108963i | ||||
\(751\) | −17.7610 | + | 36.4154i | −0.648108 | + | 1.32882i | 0.281248 | + | 0.959635i | \(0.409252\pi\) |
−0.929356 | + | 0.369184i | \(0.879637\pi\) | |||||||
\(752\) | −1.18542 | − | 11.2785i | −0.0432278 | − | 0.411285i | ||||
\(753\) | −0.994536 | + | 0.211395i | −0.0362429 | + | 0.00770367i | ||||
\(754\) | −21.1954 | − | 52.4605i | −0.771891 | − | 1.91050i | ||||
\(755\) | −27.4612 | + | 40.7130i | −0.999417 | + | 1.48170i | ||||
\(756\) | −2.13912 | − | 3.17138i | −0.0777990 | − | 0.115342i | ||||
\(757\) | 12.9933 | − | 32.1594i | 0.472248 | − | 1.16885i | −0.483678 | − | 0.875246i | \(-0.660699\pi\) |
0.955926 | − | 0.293608i | \(-0.0948562\pi\) | |||||||
\(758\) | 1.68160 | − | 9.53684i | 0.0610785 | − | 0.346394i | ||||
\(759\) | −0.476508 | + | 10.6156i | −0.0172961 | + | 0.385322i | ||||
\(760\) | −8.91593 | − | 6.14261i | −0.323415 | − | 0.222816i | ||||
\(761\) | 12.6247 | + | 38.8550i | 0.457647 | + | 1.40849i | 0.868000 | + | 0.496565i | \(0.165405\pi\) |
−0.410353 | + | 0.911927i | \(0.634595\pi\) | |||||||
\(762\) | 4.25798 | − | 4.11188i | 0.154250 | − | 0.148958i | ||||
\(763\) | −7.53569 | − | 0.526947i | −0.272810 | − | 0.0190768i | ||||
\(764\) | −0.0128657 | + | 0.0164673i | −0.000465465 | + | 0.000595768i | ||||
\(765\) | 1.09693 | + | 31.4119i | 0.0396595 | + | 1.13570i | ||||
\(766\) | −7.06497 | + | 28.3361i | −0.255268 | + | 1.02382i | ||||
\(767\) | −3.77973 | + | 35.9617i | −0.136478 | + | 1.29850i | ||||
\(768\) | 0.653502 | + | 0.138906i | 0.0235812 | + | 0.00501234i | ||||
\(769\) | 2.88727 | + | 16.3745i | 0.104118 | + | 0.590481i | 0.991569 | + | 0.129579i | \(0.0413627\pi\) |
−0.887451 | + | 0.460901i | \(0.847526\pi\) | |||||||
\(770\) | −1.55803 | + | 8.34932i | −0.0561475 | + | 0.300889i | ||||
\(771\) | 0.698723 | − | 1.21022i | 0.0251639 | − | 0.0435851i | ||||
\(772\) | −11.4239 | + | 12.6875i | −0.411156 | + | 0.456635i | ||||
\(773\) | 40.8758 | − | 2.85831i | 1.47020 | − | 0.102806i | 0.687944 | − | 0.725764i | \(-0.258514\pi\) |
0.782255 | + | 0.622958i | \(0.214069\pi\) | |||||||
\(774\) | 12.7315 | − | 18.8752i | 0.457625 | − | 0.678457i | ||||
\(775\) | −0.203412 | + | 0.260356i | −0.00730678 | + | 0.00935225i | ||||
\(776\) | −8.97532 | + | 5.60840i | −0.322195 | + | 0.201330i | ||||
\(777\) | 0.678160 | + | 1.39043i | 0.0243289 | + | 0.0498816i | ||||
\(778\) | −29.3253 | − | 21.3061i | −1.05136 | − | 0.763860i | ||||
\(779\) | 15.2175 | + | 16.0722i | 0.545222 | + | 0.575847i | ||||
\(780\) | −10.8862 | −0.389790 | ||||||||
\(781\) | 3.14588 | + | 33.0958i | 0.112568 | + | 1.18426i | ||||
\(782\) | −18.2038 | − | 15.2748i | −0.650966 | − | 0.546225i | ||||
\(783\) | 1.11688 | − | 31.9832i | 0.0399139 | − | 1.14298i | ||||
\(784\) | −5.70707 | − | 1.63648i | −0.203824 | − | 0.0584456i | ||||
\(785\) | 12.1595 | − | 48.7691i | 0.433992 | − | 1.74065i | ||||
\(786\) | −6.49593 | + | 1.38075i | −0.231702 | + | 0.0492498i | ||||
\(787\) | −7.76969 | − | 8.62912i | −0.276960 | − | 0.307595i | 0.588576 | − | 0.808442i | \(-0.299689\pi\) |
−0.865536 | + | 0.500847i | \(0.833022\pi\) | |||||||
\(788\) | −8.96042 | − | 8.65298i | −0.319202 | − | 0.308250i | ||||
\(789\) | 2.46422 | − | 5.05240i | 0.0877286 | − | 0.179870i | ||||
\(790\) | −33.2512 | − | 7.06776i | −1.18302 | − | 0.251460i | ||||
\(791\) | −0.635964 | − | 1.10152i | −0.0226123 | − | 0.0391656i | ||||
\(792\) | −4.80570 | + | 6.97403i | −0.170763 | + | 0.247811i | ||||
\(793\) | −20.8167 | + | 7.57667i | −0.739224 | + | 0.269056i | ||||
\(794\) | 0.119367 | − | 3.41821i | 0.00423616 | − | 0.121308i | ||||
\(795\) | 4.37162 | + | 17.5336i | 0.155045 | + | 0.621853i | ||||
\(796\) | −8.03468 | − | 16.4735i | −0.284782 | − | 0.583889i | ||||
\(797\) | 12.1334 | − | 37.3427i | 0.429786 | − | 1.32275i | −0.468550 | − | 0.883437i | \(-0.655223\pi\) |
0.898336 | − | 0.439309i | \(-0.144777\pi\) | |||||||
\(798\) | 1.38335 | + | 2.66475i | 0.0489702 | + | 0.0943312i | ||||
\(799\) | 45.4631 | − | 33.0309i | 1.60837 | − | 1.16855i | ||||
\(800\) | −0.841460 | + | 0.812588i | −0.0297501 | + | 0.0287293i | ||||
\(801\) | 11.5987 | − | 28.7078i | 0.409819 | − | 1.01434i | ||||
\(802\) | −16.4420 | − | 5.98440i | −0.580587 | − | 0.211316i | ||||
\(803\) | 6.35578 | + | 0.0632471i | 0.224291 | + | 0.00223194i | ||||
\(804\) | −0.528467 | + | 0.443436i | −0.0186376 | + | 0.0156388i | ||||
\(805\) | −8.21753 | + | 9.12650i | −0.289630 | + | 0.321667i | ||||
\(806\) | 1.69265 | − | 0.753615i | 0.0596209 | − | 0.0265450i | ||||
\(807\) | 0.184467 | + | 0.178138i | 0.00649354 | + | 0.00627074i | ||||
\(808\) | 1.48375 | + | 0.208528i | 0.0521982 | + | 0.00733597i | ||||
\(809\) | 15.2888 | + | 16.9800i | 0.537527 | + | 0.596984i | 0.949327 | − | 0.314290i | \(-0.101767\pi\) |
−0.411800 | + | 0.911274i | \(0.635100\pi\) | |||||||
\(810\) | 11.7588 | + | 5.23534i | 0.413161 | + | 0.183951i | ||||
\(811\) | 44.6909 | − | 3.12509i | 1.56931 | − | 0.109737i | 0.741581 | − | 0.670864i | \(-0.234076\pi\) |
0.827730 | + | 0.561127i | \(0.189632\pi\) | |||||||
\(812\) | 5.47470 | + | 7.00730i | 0.192124 | + | 0.245908i | ||||
\(813\) | −17.6953 | − | 6.44058i | −0.620603 | − | 0.225881i | ||||
\(814\) | 5.03911 | − | 5.48572i | 0.176621 | − | 0.192275i | ||||
\(815\) | −7.72247 | + | 43.7963i | −0.270506 | + | 1.53412i | ||||
\(816\) | 1.02303 | + | 3.14857i | 0.0358133 | + | 0.110222i | ||||
\(817\) | −25.2729 | + | 29.5230i | −0.884186 | + | 1.03288i | ||||
\(818\) | 8.20851 | − | 5.96383i | 0.287004 | − | 0.208520i | ||||
\(819\) | −15.2492 | − | 8.10817i | −0.532852 | − | 0.283322i | ||||
\(820\) | 10.6961 | − | 6.68368i | 0.373525 | − | 0.233404i | ||||
\(821\) | −29.2818 | + | 8.39641i | −1.02194 | + | 0.293037i | −0.744441 | − | 0.667689i | \(-0.767284\pi\) |
−0.277500 | + | 0.960726i | \(0.589506\pi\) | |||||||
\(822\) | −6.25831 | − | 1.79454i | −0.218284 | − | 0.0625918i | ||||
\(823\) | −43.3056 | − | 27.0603i | −1.50954 | − | 0.943263i | −0.996384 | − | 0.0849659i | \(-0.972922\pi\) |
−0.513153 | − | 0.858297i | \(-0.671523\pi\) | |||||||
\(824\) | 0.896137 | + | 1.55216i | 0.0312184 | + | 0.0540719i | ||||
\(825\) | 0.947025 | + | 2.41282i | 0.0329712 | + | 0.0840037i | ||||
\(826\) | −0.986844 | − | 5.59667i | −0.0343367 | − | 0.194733i | ||||
\(827\) | −27.1755 | + | 14.4495i | −0.944985 | + | 0.502457i | −0.869088 | − | 0.494658i | \(-0.835293\pi\) |
−0.0758973 | + | 0.997116i | \(0.524182\pi\) | |||||||
\(828\) | −11.1875 | + | 4.98099i | −0.388792 | + | 0.173102i | ||||
\(829\) | −24.6654 | − | 10.9817i | −0.856665 | − | 0.381412i | −0.0690750 | − | 0.997611i | \(-0.522005\pi\) |
−0.787590 | + | 0.616200i | \(0.788671\pi\) | |||||||
\(830\) | −11.8467 | − | 29.3217i | −0.411207 | − | 1.01777i | ||||
\(831\) | −0.550572 | − | 15.7663i | −0.0190991 | − | 0.546927i | ||||
\(832\) | 6.30583 | − | 1.80817i | 0.218615 | − | 0.0626869i | ||||
\(833\) | −7.11724 | − | 28.5457i | −0.246598 | − | 0.989050i | ||||
\(834\) | −4.07448 | + | 0.572631i | −0.141088 | + | 0.0198286i | ||||
\(835\) | 41.9406 | 1.45142 | ||||||||
\(836\) | 9.51021 | − | 10.8883i | 0.328917 | − | 0.376581i | ||||
\(837\) | 1.04799 | 0.0362237 | ||||||||
\(838\) | 10.3377 | − | 1.45288i | 0.357112 | − | 0.0501888i | ||||
\(839\) | 1.59225 | + | 6.38618i | 0.0549707 | + | 0.220476i | 0.991499 | − | 0.130118i | \(-0.0415355\pi\) |
−0.936528 | + | 0.350593i | \(0.885980\pi\) | |||||||
\(840\) | 1.64464 | − | 0.471594i | 0.0567456 | − | 0.0162715i | ||||
\(841\) | 1.58419 | + | 45.3652i | 0.0546272 | + | 1.56432i | ||||
\(842\) | 0.188210 | + | 0.465837i | 0.00648616 | + | 0.0160538i | ||||
\(843\) | 8.38844 | + | 3.73478i | 0.288913 | + | 0.128633i | ||||
\(844\) | 25.0934 | − | 11.1723i | 0.863751 | − | 0.384567i | ||||
\(845\) | −65.8670 | + | 35.0221i | −2.26589 | + | 1.20480i | ||||
\(846\) | −5.02883 | − | 28.5199i | −0.172895 | − | 0.980535i | ||||
\(847\) | −10.8372 | − | 3.34229i | −0.372369 | − | 0.114842i | ||||
\(848\) | −5.44452 | − | 9.43019i | −0.186966 | − | 0.323834i | ||||
\(849\) | 9.25478 | + | 5.78303i | 0.317623 | + | 0.198473i | ||||
\(850\) | −5.57193 | − | 1.59772i | −0.191116 | − | 0.0548015i | ||||
\(851\) | 10.3533 | − | 2.96876i | 0.354907 | − | 0.101768i | ||||
\(852\) | 5.67927 | − | 3.54880i | 0.194569 | − | 0.121580i | ||||
\(853\) | −9.62879 | − | 5.11972i | −0.329684 | − | 0.175296i | 0.296375 | − | 0.955071i | \(-0.404222\pi\) |
−0.626059 | + | 0.779776i | \(0.715333\pi\) | |||||||
\(854\) | 2.81668 | − | 2.04644i | 0.0963847 | − | 0.0700276i | ||||
\(855\) | −23.8068 | − | 14.0596i | −0.814176 | − | 0.480828i | ||||
\(856\) | 1.23132 | + | 3.78961i | 0.0420856 | + | 0.129526i | ||||
\(857\) | 1.07937 | − | 6.12139i | 0.0368705 | − | 0.209103i | −0.960807 | − | 0.277218i | \(-0.910588\pi\) |
0.997677 | + | 0.0681154i | \(0.0216986\pi\) | |||||||
\(858\) | 1.66318 | − | 14.4404i | 0.0567800 | − | 0.492986i | ||||
\(859\) | −11.1118 | − | 4.04437i | −0.379130 | − | 0.137992i | 0.145423 | − | 0.989370i | \(-0.453546\pi\) |
−0.524554 | + | 0.851377i | \(0.675768\pi\) | |||||||
\(860\) | 13.6344 | + | 17.4512i | 0.464928 | + | 0.595081i | ||||
\(861\) | −3.48906 | + | 0.243979i | −0.118907 | + | 0.00831477i | ||||
\(862\) | −30.2557 | − | 13.4707i | −1.03051 | − | 0.458814i | ||||
\(863\) | −35.2406 | − | 39.1387i | −1.19961 | − | 1.33230i | −0.929212 | − | 0.369547i | \(-0.879513\pi\) |
−0.270393 | − | 0.962750i | \(-0.587154\pi\) | |||||||
\(864\) | 3.67429 | + | 0.516387i | 0.125002 | + | 0.0175679i | ||||
\(865\) | −23.5309 | − | 22.7235i | −0.800075 | − | 0.772623i | ||||
\(866\) | 15.1124 | − | 6.72850i | 0.513542 | − | 0.228644i | ||||
\(867\) | −3.37717 | + | 3.75073i | −0.114695 | + | 0.127381i | ||||
\(868\) | −0.223071 | + | 0.187179i | −0.00757151 | + | 0.00635325i | ||||
\(869\) | 14.4553 | − | 43.0272i | 0.490362 | − | 1.45960i | ||||
\(870\) | 13.4502 | + | 4.89547i | 0.456004 | + | 0.165972i | ||||
\(871\) | −2.53745 | + | 6.28041i | −0.0859782 | + | 0.212803i | ||||
\(872\) | 5.27064 | − | 5.08980i | 0.178486 | − | 0.172362i | ||||
\(873\) | −21.8649 | + | 15.8858i | −0.740014 | + | 0.537652i | ||||
\(874\) | 19.9432 | − | 6.26326i | 0.674588 | − | 0.211858i | ||||
\(875\) | 3.03106 | − | 9.32866i | 0.102469 | − | 0.315366i | ||||
\(876\) | −0.561279 | − | 1.15079i | −0.0189639 | − | 0.0388817i | ||||
\(877\) | −7.42404 | − | 29.7762i | −0.250692 | − | 1.00547i | −0.955244 | − | 0.295819i | \(-0.904408\pi\) |
0.704552 | − | 0.709652i | \(-0.251148\pi\) | |||||||
\(878\) | 0.161184 | − | 4.61569i | 0.00543968 | − | 0.155772i | ||||
\(879\) | −13.0809 | + | 4.76107i | −0.441208 | + | 0.160587i | ||||
\(880\) | −5.00708 | − | 6.54191i | −0.168788 | − | 0.220528i | ||||
\(881\) | −27.5241 | − | 47.6731i | −0.927309 | − | 1.60615i | −0.787804 | − | 0.615926i | \(-0.788782\pi\) |
−0.139505 | − | 0.990221i | \(-0.544551\pi\) | |||||||
\(882\) | −14.8298 | − | 3.15218i | −0.499346 | − | 0.106139i | ||||
\(883\) | 1.41397 | − | 2.89907i | 0.0475839 | − | 0.0975615i | −0.873677 | − | 0.486506i | \(-0.838271\pi\) |
0.921261 | + | 0.388944i | \(0.127160\pi\) | |||||||
\(884\) | 23.3830 | + | 22.5807i | 0.786454 | + | 0.759470i | ||||
\(885\) | −6.12087 | − | 6.79791i | −0.205751 | − | 0.228509i | ||||
\(886\) | −2.89649 | + | 0.615669i | −0.0973096 | + | 0.0206838i | ||||
\(887\) | 2.05298 | − | 8.23406i | 0.0689324 | − | 0.276473i | −0.925932 | − | 0.377691i | \(-0.876718\pi\) |
0.994864 | + | 0.101218i | \(0.0322739\pi\) | |||||||
\(888\) | −1.44238 | − | 0.413595i | −0.0484030 | − | 0.0138793i | ||||
\(889\) | −0.318786 | + | 9.12883i | −0.0106917 | + | 0.306171i | ||||
\(890\) | 23.0708 | + | 19.3587i | 0.773334 | + | 0.648904i | ||||
\(891\) | −8.74105 | + | 14.7979i | −0.292836 | + | 0.495749i | ||||
\(892\) | 6.52883 | 0.218601 | ||||||||
\(893\) | 2.96197 | + | 49.3438i | 0.0991185 | + | 1.65123i | ||||
\(894\) | −12.8095 | − | 9.30664i | −0.428413 | − | 0.311260i | ||||
\(895\) | 2.31602 | + | 4.74854i | 0.0774159 | + | 0.158726i | ||||
\(896\) | −0.874326 | + | 0.546340i | −0.0292092 | + | 0.0182519i | ||||
\(897\) | 12.9398 | − | 16.5622i | 0.432048 | − | 0.552997i | ||||
\(898\) | −10.0588 | + | 14.9129i | −0.335668 | + | 0.497648i | ||||
\(899\) | −2.43020 | + | 0.169936i | −0.0810517 | + | 0.00566769i | ||||
\(900\) | −1.99880 | + | 2.21989i | −0.0666267 | + | 0.0739965i | ||||
\(901\) | 26.9789 | − | 46.7289i | 0.898798 | − | 1.55676i | ||||
\(902\) | 7.23162 | + | 15.2093i | 0.240787 | + | 0.506414i | ||||
\(903\) | −1.06641 | − | 6.04792i | −0.0354879 | − | 0.201262i | ||||
\(904\) | 1.20674 | + | 0.256501i | 0.0401356 | + | 0.00853108i | ||||
\(905\) | −5.38898 | + | 51.2727i | −0.179136 | + | 1.70436i | ||||
\(906\) | −3.19552 | + | 12.8165i | −0.106164 | + | 0.425801i | ||||
\(907\) | −0.496845 | − | 14.2278i | −0.0164975 | − | 0.472426i | −0.979323 | − | 0.202302i | \(-0.935158\pi\) |
0.962826 | − | 0.270124i | \(-0.0870645\pi\) | |||||||
\(908\) | 1.14598 | − | 1.46678i | 0.0380305 | − | 0.0486768i | ||||
\(909\) | 3.81688 | + | 0.266902i | 0.126598 | + | 0.00885259i | ||||
\(910\) | 12.0843 | − | 11.6697i | 0.400591 | − | 0.386847i | ||||
\(911\) | 6.63032 | + | 20.4060i | 0.219672 | + | 0.676082i | 0.998789 | + | 0.0492030i | \(0.0156681\pi\) |
−0.779116 | + | 0.626879i | \(0.784332\pi\) | |||||||
\(912\) | −2.81860 | − | 0.732343i | −0.0933332 | − | 0.0242503i | ||||
\(913\) | 40.7046 | − | 11.2347i | 1.34712 | − | 0.371815i | ||||
\(914\) | −3.78432 | + | 21.4619i | −0.125174 | + | 0.709898i | ||||
\(915\) | 2.09932 | − | 5.19600i | 0.0694014 | − | 0.171774i | ||||
\(916\) | −3.73950 | − | 5.54404i | −0.123557 | − | 0.183180i | ||||
\(917\) | 5.73072 | − | 8.49614i | 0.189245 | − | 0.280567i | ||||
\(918\) | 6.88748 | + | 17.0471i | 0.227321 | + | 0.562639i | ||||
\(919\) | −4.15282 | + | 0.882709i | −0.136989 | + | 0.0291179i | −0.275896 | − | 0.961188i | \(-0.588974\pi\) |
0.138907 | + | 0.990305i | \(0.455641\pi\) | |||||||
\(920\) | −1.24512 | − | 11.8465i | −0.0410505 | − | 0.390569i | ||||
\(921\) | 0.0770493 | − | 0.157975i | 0.00253886 | − | 0.00520544i | ||||
\(922\) | −26.4825 | + | 14.0810i | −0.872155 | + | 0.463733i | ||||
\(923\) | 32.8776 | − | 56.9457i | 1.08218 | − | 1.87439i | ||||
\(924\) | 0.374294 | + | 2.25363i | 0.0123134 | + | 0.0741391i | ||||
\(925\) | 2.01255 | − | 1.68873i | 0.0661724 | − | 0.0555252i | ||||
\(926\) | 1.87074 | + | 2.39443i | 0.0614762 | + | 0.0786860i | ||||
\(927\) | 2.55933 | + | 3.79436i | 0.0840593 | + | 0.124623i | ||||
\(928\) | −8.60412 | − | 0.601659i | −0.282444 | − | 0.0197504i | ||||
\(929\) | −11.1778 | − | 5.94334i | −0.366732 | − | 0.194995i | 0.275870 | − | 0.961195i | \(-0.411034\pi\) |
−0.642602 | + | 0.766200i | \(0.722145\pi\) | |||||||
\(930\) | −0.144842 | + | 0.445778i | −0.00474956 | + | 0.0146176i | ||||
\(931\) | 24.5324 | + | 8.23931i | 0.804018 | + | 0.270032i | ||||
\(932\) | 19.2603 | + | 13.9934i | 0.630892 | + | 0.458370i | ||||
\(933\) | 2.59374 | − | 0.364527i | 0.0849153 | − | 0.0119341i | ||||
\(934\) | −18.9231 | − | 15.8783i | −0.619181 | − | 0.519555i | ||||
\(935\) | 15.6681 | − | 37.6955i | 0.512402 | − | 1.23278i | ||||
\(936\) | 15.7415 | − | 5.72944i | 0.514527 | − | 0.187273i | ||||
\(937\) | −17.4244 | − | 10.8880i | −0.569230 | − | 0.355694i | 0.214569 | − | 0.976709i | \(-0.431165\pi\) |
−0.783799 | + | 0.621015i | \(0.786721\pi\) | |||||||
\(938\) | 0.111278 | − | 1.05874i | 0.00363335 | − | 0.0345690i | ||||
\(939\) | −0.589788 | − | 5.61145i | −0.0192470 | − | 0.183123i | ||||
\(940\) | 27.8949 | + | 3.92037i | 0.909830 | + | 0.127868i | ||||
\(941\) | 6.63710 | + | 0.932784i | 0.216363 | + | 0.0304079i | 0.246522 | − | 0.969137i | \(-0.420712\pi\) |
−0.0301584 | + | 0.999545i | \(0.509601\pi\) | |||||||
\(942\) | −1.41314 | − | 13.4451i | −0.0460424 | − | 0.438065i | ||||
\(943\) | −2.54536 | + | 24.2175i | −0.0828883 | + | 0.788629i | ||||
\(944\) | 4.67461 | + | 2.92102i | 0.152146 | + | 0.0950711i | ||||
\(945\) | 8.92881 | − | 3.24982i | 0.290454 | − | 0.105717i | ||||
\(946\) | −25.2317 | + | 15.4195i | −0.820353 | + | 0.501332i | ||||
\(947\) | −7.08289 | − | 5.94325i | −0.230163 | − | 0.193130i | 0.520411 | − | 0.853916i | \(-0.325779\pi\) |
−0.750574 | + | 0.660786i | \(0.770223\pi\) | |||||||
\(948\) | −9.05449 | + | 1.27253i | −0.294076 | + | 0.0413297i | ||||
\(949\) | −10.1707 | − | 7.38947i | −0.330156 | − | 0.239872i | ||||
\(950\) | 3.82267 | − | 3.37431i | 0.124024 | − | 0.109477i | ||||
\(951\) | −2.84669 | + | 8.76121i | −0.0923103 | + | 0.284102i | ||||
\(952\) | −4.51079 | − | 2.39843i | −0.146196 | − | 0.0777336i | ||||
\(953\) | 35.6736 | + | 2.49454i | 1.15558 | + | 0.0808061i | 0.634655 | − | 0.772796i | \(-0.281142\pi\) |
0.520926 | + | 0.853602i | \(0.325587\pi\) | |||||||
\(954\) | −15.5493 | − | 23.0528i | −0.503428 | − | 0.746362i | ||||
\(955\) | −0.0319571 | − | 0.0409033i | −0.00103411 | − | 0.00132360i | ||||
\(956\) | −8.81109 | + | 7.39338i | −0.284971 | + | 0.239119i | ||||
\(957\) | −8.54863 | + | 17.0935i | −0.276338 | + | 0.552553i | ||||
\(958\) | −4.68965 | + | 8.12271i | −0.151516 | + | 0.262433i | ||||
\(959\) | 8.87076 | − | 4.71667i | 0.286452 | − | 0.152309i | ||||
\(960\) | −0.727477 | + | 1.49155i | −0.0234792 | + | 0.0481395i | ||||
\(961\) | 3.23204 | + | 30.7508i | 0.104259 | + | 0.991963i | ||||
\(962\) | −14.4112 | + | 3.06319i | −0.464635 | + | 0.0987613i | ||||
\(963\) | 3.81174 | + | 9.43439i | 0.122832 | + | 0.304019i | ||||
\(964\) | 0.957303 | − | 1.41926i | 0.0308326 | − | 0.0457113i | ||||
\(965\) | −23.7138 | − | 35.1571i | −0.763373 | − | 1.13175i | ||||
\(966\) | −1.23741 | + | 3.06270i | −0.0398131 | + | 0.0985408i | ||||
\(967\) | 5.85580 | − | 33.2099i | 0.188310 | − | 1.06796i | −0.733319 | − | 0.679885i | \(-0.762030\pi\) |
0.921628 | − | 0.388073i | \(-0.126859\pi\) | |||||||
\(968\) | 9.44268 | − | 5.64232i | 0.303499 | − | 0.181351i | ||||
\(969\) | −3.84067 | − | 13.9101i | −0.123380 | − | 0.446857i | ||||
\(970\) | −8.12356 | − | 25.0017i | −0.260832 | − | 0.802758i | ||||
\(971\) | −36.3945 | + | 35.1457i | −1.16795 | + | 1.12788i | −0.178365 | + | 0.983964i | \(0.557081\pi\) |
−0.989590 | + | 0.143916i | \(0.954030\pi\) | |||||||
\(972\) | 14.5577 | + | 1.01798i | 0.466940 | + | 0.0326516i | ||||
\(973\) | 3.90906 | − | 5.00336i | 0.125319 | − | 0.160400i | ||||
\(974\) | −0.134367 | − | 3.84775i | −0.00430538 | − | 0.123290i | ||||
\(975\) | 1.24027 | − | 4.97447i | 0.0397206 | − | 0.159310i | ||||
\(976\) | −0.352989 | + | 3.35846i | −0.0112989 | + | 0.107502i | ||||
\(977\) | −32.6767 | − | 6.94564i | −1.04542 | − | 0.222211i | −0.346975 | − | 0.937875i | \(-0.612791\pi\) |
−0.698445 | + | 0.715664i | \(0.746124\pi\) | |||||||
\(978\) | 2.07713 | + | 11.7800i | 0.0664194 | + | 0.376683i | ||||
\(979\) | −29.2036 | + | 27.6453i | −0.933350 | + | 0.883548i | ||||
\(980\) | 7.37354 | − | 12.7714i | 0.235539 | − | 0.407966i | ||||
\(981\) | 12.5199 | − | 13.9047i | 0.399729 | − | 0.443944i | ||||
\(982\) | −7.02143 | + | 0.490986i | −0.224063 | + | 0.0156680i | ||||
\(983\) | −18.2882 | + | 27.1134i | −0.583305 | + | 0.864785i | −0.999000 | − | 0.0447195i | \(-0.985761\pi\) |
0.415695 | + | 0.909504i | \(0.363538\pi\) | |||||||
\(984\) | 2.08860 | − | 2.67329i | 0.0665822 | − | 0.0852214i | ||||
\(985\) | 26.2391 | − | 16.3960i | 0.836048 | − | 0.522421i | ||||
\(986\) | −18.7358 | − | 38.4141i | −0.596669 | − | 1.22335i | ||||
\(987\) | −6.31961 | − | 4.59147i | −0.201155 | − | 0.146148i | ||||
\(988\) | −27.8116 | + | 6.64372i | −0.884806 | + | 0.211365i | ||||
\(989\) | −42.7565 | −1.35958 | ||||||||
\(990\) | −13.9205 | − | 15.7731i | −0.442421 | − | 0.501301i | ||||
\(991\) | 9.53725 | + | 8.00270i | 0.302961 | + | 0.254214i | 0.781575 | − | 0.623811i | \(-0.214416\pi\) |
−0.478615 | + | 0.878025i | \(0.658861\pi\) | |||||||
\(992\) | 0.00985722 | − | 0.282274i | 0.000312967 | − | 0.00896221i | ||||
\(993\) | −6.70755 | − | 1.92336i | −0.212858 | − | 0.0610359i | ||||
\(994\) | −2.50010 | + | 10.0274i | −0.0792984 | + | 0.318049i | ||||
\(995\) | 44.5313 | − | 9.46542i | 1.41174 | − | 0.300074i | ||||
\(996\) | −5.69171 | − | 6.32129i | −0.180349 | − | 0.200298i | ||||
\(997\) | 4.58644 | + | 4.42907i | 0.145254 | + | 0.140270i | 0.763736 | − | 0.645529i | \(-0.223363\pi\) |
−0.618482 | + | 0.785799i | \(0.712252\pi\) | |||||||
\(998\) | −9.96377 | + | 20.4287i | −0.315397 | + | 0.646661i | ||||
\(999\) | −8.15116 | − | 1.73258i | −0.257891 | − | 0.0548165i |
(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 | 418.2.u.b.93.7 | yes | 264 | |
11.9 | even | 5 | inner | 418.2.u.b.207.7 | yes | 264 | |
19.9 | even | 9 | inner | 418.2.u.b.313.7 | yes | 264 | |
209.9 | even | 45 | inner | 418.2.u.b.9.7 | ✓ | 264 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.u.b.9.7 | ✓ | 264 | 209.9 | even | 45 | inner | |
418.2.u.b.93.7 | yes | 264 | 1.1 | even | 1 | trivial | |
418.2.u.b.207.7 | yes | 264 | 11.9 | even | 5 | inner | |
418.2.u.b.313.7 | yes | 264 | 19.9 | even | 9 | inner |