Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [859,2,Mod(100,859)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(859, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("859.100");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 859 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 859.f (of order \(13\), degree \(12\), 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: | \(6.85914953363\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{13})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{13}]$ |
Embedding invariants
Embedding label | 524.1 | ||
Character | \(\chi\) | \(=\) | 859.524 |
Dual form | 859.2.f.a.100.1 |
$q$-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 \(\left(\mathbb{Z}/859\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{13}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.48316 | − | 1.30326i | −1.75586 | − | 0.921545i | −0.938396 | − | 0.345562i | \(-0.887688\pi\) |
−0.817462 | − | 0.575983i | \(-0.804619\pi\) | |||||||
\(3\) | −0.107649 | − | 0.155957i | −0.0621513 | − | 0.0900416i | 0.790676 | − | 0.612235i | \(-0.209729\pi\) |
−0.852827 | + | 0.522193i | \(0.825114\pi\) | |||||||
\(4\) | 3.33145 | + | 4.82644i | 1.66573 | + | 2.41322i | ||||
\(5\) | 0.315645 | − | 0.457291i | 0.141161 | − | 0.204507i | −0.746026 | − | 0.665916i | \(-0.768041\pi\) |
0.887187 | + | 0.461410i | \(0.152656\pi\) | |||||||
\(6\) | 0.0640574 | + | 0.527560i | 0.0261513 | + | 0.215375i | ||||
\(7\) | −0.162393 | + | 1.33743i | −0.0613787 | + | 0.505499i | 0.929305 | + | 0.369314i | \(0.120407\pi\) |
−0.990683 | + | 0.136185i | \(0.956516\pi\) | |||||||
\(8\) | −1.30634 | − | 10.7587i | −0.461862 | − | 3.80377i | ||||
\(9\) | 1.05108 | − | 2.77147i | 0.350360 | − | 0.923824i | ||||
\(10\) | −1.37977 | + | 0.724157i | −0.436321 | + | 0.228999i | ||||
\(11\) | 0.445108 | − | 3.66580i | 0.134205 | − | 1.10528i | −0.757555 | − | 0.652771i | \(-0.773606\pi\) |
0.891760 | − | 0.452508i | \(-0.149471\pi\) | |||||||
\(12\) | 0.394088 | − | 1.03912i | 0.113763 | − | 0.299969i | ||||
\(13\) | 5.88536 | 1.63230 | 0.816152 | − | 0.577837i | \(-0.196103\pi\) | ||||
0.816152 | + | 0.577837i | \(0.196103\pi\) | |||||||
\(14\) | 2.14626 | − | 3.10940i | 0.573613 | − | 0.831022i | ||||
\(15\) | −0.105297 | −0.0271875 | ||||||||
\(16\) | −6.61833 | + | 17.4511i | −1.65458 | + | 4.36278i | ||||
\(17\) | −0.137731 | − | 0.0339478i | −0.0334048 | − | 0.00823354i | 0.222578 | − | 0.974915i | \(-0.428553\pi\) |
−0.255983 | + | 0.966681i | \(0.582399\pi\) | |||||||
\(18\) | −6.22195 | + | 5.51217i | −1.46653 | + | 1.29923i | ||||
\(19\) | −2.45468 | −0.563142 | −0.281571 | − | 0.959540i | \(-0.590856\pi\) | ||||
−0.281571 | + | 0.959540i | \(0.590856\pi\) | |||||||
\(20\) | 3.25864 | 0.728655 | ||||||||
\(21\) | 0.226062 | − | 0.118646i | 0.0493308 | − | 0.0258908i | ||||
\(22\) | −5.88277 | + | 8.52266i | −1.25421 | + | 1.81704i | ||||
\(23\) | −0.885034 | + | 0.464502i | −0.184542 | + | 0.0968553i | −0.554464 | − | 0.832208i | \(-0.687077\pi\) |
0.369922 | + | 0.929063i | \(0.379384\pi\) | |||||||
\(24\) | −1.53726 | + | 1.36190i | −0.313793 | + | 0.277996i | ||||
\(25\) | 1.66354 | + | 4.38640i | 0.332708 | + | 0.877280i | ||||
\(26\) | −14.6143 | − | 7.67016i | −2.86609 | − | 1.50424i | ||||
\(27\) | −1.09736 | + | 0.270476i | −0.211187 | + | 0.0520530i | ||||
\(28\) | −6.99601 | + | 3.67179i | −1.32212 | + | 0.693903i | ||||
\(29\) | 0.189875 | + | 0.500659i | 0.0352589 | + | 0.0929700i | 0.951489 | − | 0.307681i | \(-0.0995531\pi\) |
−0.916231 | + | 0.400651i | \(0.868784\pi\) | |||||||
\(30\) | 0.261468 | + | 0.137229i | 0.0477373 | + | 0.0250545i | ||||
\(31\) | −1.07134 | + | 0.949122i | −0.192418 | + | 0.170467i | −0.753831 | − | 0.657068i | \(-0.771796\pi\) |
0.561413 | + | 0.827536i | \(0.310258\pi\) | |||||||
\(32\) | 22.9534 | − | 20.3350i | 4.05763 | − | 3.59475i | ||||
\(33\) | −0.619621 | + | 0.325202i | −0.107862 | + | 0.0566104i | ||||
\(34\) | 0.297766 | + | 0.263798i | 0.0510665 | + | 0.0452410i | ||||
\(35\) | 0.560334 | + | 0.496413i | 0.0947138 | + | 0.0839091i | ||||
\(36\) | 16.8780 | − | 4.16004i | 2.81299 | − | 0.693341i | ||||
\(37\) | 4.13803 | − | 10.9111i | 0.680289 | − | 1.79377i | 0.0758545 | − | 0.997119i | \(-0.475832\pi\) |
0.604434 | − | 0.796655i | \(-0.293399\pi\) | |||||||
\(38\) | 6.09536 | + | 3.19909i | 0.988798 | + | 0.518961i | ||||
\(39\) | −0.633554 | − | 0.917861i | −0.101450 | − | 0.146975i | ||||
\(40\) | −5.33219 | − | 2.79855i | −0.843094 | − | 0.442490i | ||||
\(41\) | 5.05797 | + | 7.32774i | 0.789923 | + | 1.14440i | 0.986476 | + | 0.163907i | \(0.0524098\pi\) |
−0.196553 | + | 0.980493i | \(0.562975\pi\) | |||||||
\(42\) | −0.715975 | −0.110477 | ||||||||
\(43\) | −5.45910 | −0.832505 | −0.416253 | − | 0.909249i | \(-0.636657\pi\) | ||||
−0.416253 | + | 0.909249i | \(0.636657\pi\) | |||||||
\(44\) | 19.1756 | − | 10.0641i | 2.89083 | − | 1.51723i | ||||
\(45\) | −0.935601 | − | 1.35545i | −0.139471 | − | 0.202059i | ||||
\(46\) | 2.80305 | 0.413286 | ||||||||
\(47\) | −7.41265 | − | 6.56704i | −1.08125 | − | 0.957901i | −0.0819972 | − | 0.996633i | \(-0.526130\pi\) |
−0.999250 | + | 0.0387315i | \(0.987668\pi\) | |||||||
\(48\) | 3.43408 | − | 0.846423i | 0.495666 | − | 0.122171i | ||||
\(49\) | 5.03426 | + | 1.24083i | 0.719179 | + | 0.177262i | ||||
\(50\) | 1.58579 | − | 13.0601i | 0.224264 | − | 1.84698i | ||||
\(51\) | 0.00953230 | + | 0.0251346i | 0.00133479 | + | 0.00351955i | ||||
\(52\) | 19.6068 | + | 28.4053i | 2.71897 | + | 3.93911i | ||||
\(53\) | −8.74760 | + | 2.15609i | −1.20158 | + | 0.296162i | −0.788788 | − | 0.614666i | \(-0.789291\pi\) |
−0.412788 | + | 0.910827i | \(0.635445\pi\) | |||||||
\(54\) | 3.07742 | + | 0.758517i | 0.418784 | + | 0.103221i | ||||
\(55\) | −1.53584 | − | 1.36064i | −0.207093 | − | 0.183468i | ||||
\(56\) | 14.6011 | 1.95115 | ||||||||
\(57\) | 0.264244 | + | 0.382824i | 0.0350000 | + | 0.0507063i | ||||
\(58\) | 0.181000 | − | 1.49067i | 0.0237665 | − | 0.195735i | ||||
\(59\) | 5.53914 | + | 2.90716i | 0.721134 | + | 0.378480i | 0.785015 | − | 0.619477i | \(-0.212655\pi\) |
−0.0638805 | + | 0.997958i | \(0.520348\pi\) | |||||||
\(60\) | −0.350790 | − | 0.508207i | −0.0452868 | − | 0.0656093i | ||||
\(61\) | 9.22891 | 1.18164 | 0.590821 | − | 0.806803i | \(-0.298804\pi\) | ||||
0.590821 | + | 0.806803i | \(0.298804\pi\) | |||||||
\(62\) | 3.89725 | − | 0.960587i | 0.494952 | − | 0.121995i | ||||
\(63\) | 3.53595 | + | 1.85581i | 0.445488 | + | 0.233810i | ||||
\(64\) | −47.2555 | + | 11.6474i | −5.90694 | + | 1.45593i | ||||
\(65\) | 1.85768 | − | 2.69132i | 0.230417 | − | 0.333817i | ||||
\(66\) | 1.96244 | 0.241560 | ||||||||
\(67\) | 3.88701 | − | 10.2492i | 0.474873 | − | 1.25214i | −0.457036 | − | 0.889448i | \(-0.651089\pi\) |
0.931910 | − | 0.362690i | \(-0.118142\pi\) | |||||||
\(68\) | −0.294999 | − | 0.777848i | −0.0357739 | − | 0.0943279i | ||||
\(69\) | 0.167715 | + | 0.0880238i | 0.0201905 | + | 0.0105968i | ||||
\(70\) | −0.744443 | − | 1.96293i | −0.0889779 | − | 0.234615i | ||||
\(71\) | 11.6561 | − | 2.87297i | 1.38332 | − | 0.340959i | 0.523707 | − | 0.851899i | \(-0.324549\pi\) |
0.859616 | + | 0.510940i | \(0.170703\pi\) | |||||||
\(72\) | −31.1905 | − | 7.68776i | −3.67583 | − | 0.906011i | ||||
\(73\) | −1.79871 | − | 14.8137i | −0.210523 | − | 1.73382i | −0.588936 | − | 0.808180i | \(-0.700453\pi\) |
0.378412 | − | 0.925637i | \(-0.376470\pi\) | |||||||
\(74\) | −24.4954 | + | 21.7010i | −2.84753 | + | 2.52269i | ||||
\(75\) | 0.505009 | − | 0.731632i | 0.0583135 | − | 0.0844816i | ||||
\(76\) | −8.17765 | − | 11.8474i | −0.938041 | − | 1.35899i | ||||
\(77\) | 4.83045 | + | 1.19060i | 0.550481 | + | 0.135681i | ||||
\(78\) | 0.377001 | + | 3.10488i | 0.0426869 | + | 0.351558i | ||||
\(79\) | −5.67316 | − | 8.21899i | −0.638281 | − | 0.924709i | 0.361691 | − | 0.932298i | \(-0.382200\pi\) |
−0.999971 | + | 0.00758906i | \(0.997584\pi\) | |||||||
\(80\) | 5.89119 | + | 8.53486i | 0.658655 | + | 0.954227i | ||||
\(81\) | −6.49565 | − | 5.75464i | −0.721738 | − | 0.639404i | ||||
\(82\) | −3.00978 | − | 24.7878i | −0.332375 | − | 2.73735i | ||||
\(83\) | 1.28301 | − | 10.5665i | 0.140828 | − | 1.15982i | −0.735299 | − | 0.677743i | \(-0.762958\pi\) |
0.876127 | − | 0.482081i | \(-0.160119\pi\) | |||||||
\(84\) | 1.32575 | + | 0.695810i | 0.144652 | + | 0.0759191i | ||||
\(85\) | −0.0589983 | + | 0.0522679i | −0.00639926 | + | 0.00566925i | ||||
\(86\) | 13.5558 | + | 7.11464i | 1.46176 | + | 0.767191i | ||||
\(87\) | 0.0576412 | − | 0.0835078i | 0.00617979 | − | 0.00895297i | ||||
\(88\) | −40.0206 | −4.26621 | ||||||||
\(89\) | −11.1238 | + | 2.74178i | −1.17913 | + | 0.290628i | −0.779710 | − | 0.626141i | \(-0.784633\pi\) |
−0.399416 | + | 0.916770i | \(0.630787\pi\) | |||||||
\(90\) | 0.556736 | + | 4.58513i | 0.0586851 | + | 0.483315i | ||||
\(91\) | −0.955740 | + | 7.87123i | −0.100189 | + | 0.825129i | ||||
\(92\) | −5.19034 | − | 2.72410i | −0.541130 | − | 0.284007i | ||||
\(93\) | 0.263351 | + | 0.0649101i | 0.0273082 | + | 0.00673086i | ||||
\(94\) | 9.84822 | + | 25.9676i | 1.01577 | + | 2.67836i | ||||
\(95\) | −0.774808 | + | 1.12250i | −0.0794937 | + | 0.115166i | ||||
\(96\) | −5.64229 | − | 1.39070i | −0.575864 | − | 0.141938i | ||||
\(97\) | 6.91023 | + | 1.70322i | 0.701627 | + | 0.172936i | 0.573962 | − | 0.818882i | \(-0.305406\pi\) |
0.127665 | + | 0.991817i | \(0.459252\pi\) | |||||||
\(98\) | −10.8837 | − | 9.64214i | −1.09942 | − | 0.974003i | ||||
\(99\) | −9.69181 | − | 5.08665i | −0.974063 | − | 0.511228i | ||||
\(100\) | −15.6287 | + | 22.6421i | −1.56287 | + | 2.26421i | ||||
\(101\) | 0.00172123 | 0.000424245i | 0.000171269 | 4.22140e-5i | −0.239230 | − | 0.970963i | \(-0.576895\pi\) | ||
0.239401 | + | 0.970921i | \(0.423049\pi\) | |||||||
\(102\) | 0.00908676 | − | 0.0748362i | 0.000899724 | − | 0.00740989i | ||||
\(103\) | −11.1053 | + | 9.83842i | −1.09424 | + | 0.969408i | −0.999659 | − | 0.0261091i | \(-0.991688\pi\) |
−0.0945769 | + | 0.995518i | \(0.530150\pi\) | |||||||
\(104\) | −7.68829 | − | 63.3187i | −0.753899 | − | 6.20891i | ||||
\(105\) | 0.0170994 | − | 0.140826i | 0.00166873 | − | 0.0137432i | ||||
\(106\) | 24.5316 | + | 6.04650i | 2.38272 | + | 0.587288i | ||||
\(107\) | 8.76622 | − | 4.60087i | 0.847462 | − | 0.444783i | 0.0156752 | − | 0.999877i | \(-0.495010\pi\) |
0.831787 | + | 0.555095i | \(0.187318\pi\) | |||||||
\(108\) | −4.96124 | − | 4.39528i | −0.477396 | − | 0.422936i | ||||
\(109\) | −0.967641 | + | 7.96924i | −0.0926832 | + | 0.763315i | 0.870069 | + | 0.492930i | \(0.164074\pi\) |
−0.962752 | + | 0.270385i | \(0.912849\pi\) | |||||||
\(110\) | 2.04047 | + | 5.38027i | 0.194551 | + | 0.512989i | ||||
\(111\) | −2.14712 | + | 0.529216i | −0.203795 | + | 0.0502310i | ||||
\(112\) | −22.2648 | − | 11.6855i | −2.10383 | − | 1.10417i | ||||
\(113\) | −5.93418 | + | 3.11450i | −0.558241 | + | 0.292987i | −0.720150 | − | 0.693818i | \(-0.755927\pi\) |
0.161909 | + | 0.986806i | \(0.448235\pi\) | |||||||
\(114\) | −0.157240 | − | 1.29499i | −0.0147269 | − | 0.121287i | ||||
\(115\) | −0.0669443 | + | 0.551336i | −0.00624259 | + | 0.0514123i | ||||
\(116\) | −1.78384 | + | 2.58434i | −0.165625 | + | 0.239950i | ||||
\(117\) | 6.18598 | − | 16.3111i | 0.571894 | − | 1.50796i | ||||
\(118\) | −9.96575 | − | 14.4379i | −0.917422 | − | 1.32912i | ||||
\(119\) | 0.0677692 | − | 0.178693i | 0.00621240 | − | 0.0163807i | ||||
\(120\) | 0.137553 | + | 1.13285i | 0.0125568 | + | 0.103415i | ||||
\(121\) | −2.55958 | − | 0.630880i | −0.232689 | − | 0.0573528i | ||||
\(122\) | −22.9168 | − | 12.0277i | −2.07479 | − | 1.08894i | ||||
\(123\) | 0.598323 | − | 1.57765i | 0.0539490 | − | 0.142252i | ||||
\(124\) | −8.14999 | − | 2.00879i | −0.731891 | − | 0.180395i | ||||
\(125\) | 5.22847 | + | 1.28870i | 0.467648 | + | 0.115265i | ||||
\(126\) | −6.36171 | − | 9.21653i | −0.566747 | − | 0.821074i | ||||
\(127\) | 2.59645 | − | 6.84627i | 0.230397 | − | 0.607508i | −0.769103 | − | 0.639125i | \(-0.779297\pi\) |
0.999500 | + | 0.0316173i | \(0.0100658\pi\) | |||||||
\(128\) | 72.9738 | + | 17.9864i | 6.45004 | + | 1.58979i | ||||
\(129\) | 0.587668 | + | 0.851384i | 0.0517413 | + | 0.0749602i | ||||
\(130\) | −8.12042 | + | 4.26193i | −0.712208 | + | 0.373796i | ||||
\(131\) | 5.39563 | 0.471418 | 0.235709 | − | 0.971824i | \(-0.424259\pi\) | ||||
0.235709 | + | 0.971824i | \(0.424259\pi\) | |||||||
\(132\) | −3.63381 | − | 1.90717i | −0.316282 | − | 0.165998i | ||||
\(133\) | 0.398623 | − | 3.28295i | 0.0345650 | − | 0.284668i | ||||
\(134\) | −23.0094 | + | 20.3846i | −1.98771 | + | 1.76096i | ||||
\(135\) | −0.222691 | + | 0.587188i | −0.0191662 | + | 0.0505371i | ||||
\(136\) | −0.185309 | + | 1.52616i | −0.0158901 | + | 0.130867i | ||||
\(137\) | 2.83928 | + | 1.49017i | 0.242576 | + | 0.127314i | 0.581631 | − | 0.813453i | \(-0.302415\pi\) |
−0.339055 | + | 0.940767i | \(0.610107\pi\) | |||||||
\(138\) | −0.301745 | − | 0.437154i | −0.0256863 | − | 0.0372130i | ||||
\(139\) | 11.1392 | − | 2.74557i | 0.944815 | − | 0.232876i | 0.263328 | − | 0.964706i | \(-0.415180\pi\) |
0.681487 | + | 0.731830i | \(0.261334\pi\) | |||||||
\(140\) | −0.529181 | + | 4.35820i | −0.0447239 | + | 0.368335i | ||||
\(141\) | −0.226208 | + | 1.86299i | −0.0190501 | + | 0.156892i | ||||
\(142\) | −32.6881 | − | 8.05690i | −2.74313 | − | 0.676120i | ||||
\(143\) | 2.61962 | − | 21.5745i | 0.219064 | − | 1.80415i | ||||
\(144\) | 41.4088 | + | 36.6850i | 3.45074 | + | 3.05709i | ||||
\(145\) | 0.288880 | + | 0.0712025i | 0.0239902 | + | 0.00591305i | ||||
\(146\) | −14.8397 | + | 39.1290i | −1.22814 | + | 3.23834i | ||||
\(147\) | −0.348417 | − | 0.918701i | −0.0287370 | − | 0.0757732i | ||||
\(148\) | 66.4474 | − | 16.3778i | 5.46195 | − | 1.34625i | ||||
\(149\) | 4.72648 | − | 4.18729i | 0.387208 | − | 0.343036i | −0.446953 | − | 0.894557i | \(-0.647491\pi\) |
0.834161 | + | 0.551521i | \(0.185952\pi\) | |||||||
\(150\) | −2.20753 | + | 1.15860i | −0.180244 | + | 0.0945992i | ||||
\(151\) | −9.27205 | + | 8.21432i | −0.754549 | + | 0.668472i | −0.950003 | − | 0.312241i | \(-0.898920\pi\) |
0.195454 | + | 0.980713i | \(0.437382\pi\) | |||||||
\(152\) | 3.20665 | + | 26.4092i | 0.260094 | + | 2.14207i | ||||
\(153\) | −0.238852 | + | 0.346037i | −0.0193101 | + | 0.0279754i | ||||
\(154\) | −10.4431 | − | 9.25178i | −0.841529 | − | 0.745530i | ||||
\(155\) | 0.0958625 | + | 0.789499i | 0.00769986 | + | 0.0634141i | ||||
\(156\) | 2.31935 | − | 6.11562i | 0.185696 | − | 0.489641i | ||||
\(157\) | 0.396698 | + | 0.0977772i | 0.0316599 | + | 0.00780347i | 0.255114 | − | 0.966911i | \(-0.417887\pi\) |
−0.223454 | + | 0.974715i | \(0.571733\pi\) | |||||||
\(158\) | 3.37586 | + | 27.8027i | 0.268569 | + | 2.21186i | ||||
\(159\) | 1.27793 | + | 1.13215i | 0.101346 | + | 0.0897850i | ||||
\(160\) | −2.05386 | − | 16.9150i | −0.162372 | − | 1.33725i | ||||
\(161\) | −0.477513 | − | 1.25910i | −0.0376333 | − | 0.0992309i | ||||
\(162\) | 8.62991 | + | 22.7552i | 0.678030 | + | 1.78782i | ||||
\(163\) | −6.10651 | − | 3.20495i | −0.478299 | − | 0.251031i | 0.208303 | − | 0.978064i | \(-0.433206\pi\) |
−0.686602 | + | 0.727034i | \(0.740898\pi\) | |||||||
\(164\) | −18.5165 | + | 48.8240i | −1.44590 | + | 3.81251i | ||||
\(165\) | −0.0468684 | + | 0.385996i | −0.00364870 | + | 0.0300497i | ||||
\(166\) | −16.9568 | + | 24.5662i | −1.31610 | + | 1.90671i | ||||
\(167\) | 2.12368 | + | 0.523440i | 0.164335 | + | 0.0405050i | 0.320625 | − | 0.947206i | \(-0.396107\pi\) |
−0.156290 | + | 0.987711i | \(0.549953\pi\) | |||||||
\(168\) | −1.57179 | − | 2.27714i | −0.121267 | − | 0.175685i | ||||
\(169\) | 21.6374 | 1.66442 | ||||||||
\(170\) | 0.214621 | − | 0.0528993i | 0.0164607 | − | 0.00405719i | ||||
\(171\) | −2.58007 | + | 6.80308i | −0.197303 | + | 0.520244i | ||||
\(172\) | −18.1867 | − | 26.3480i | −1.38673 | − | 2.00902i | ||||
\(173\) | 6.56312 | − | 5.81442i | 0.498985 | − | 0.442062i | −0.375709 | − | 0.926738i | \(-0.622601\pi\) |
0.874694 | + | 0.484676i | \(0.161062\pi\) | |||||||
\(174\) | −0.251965 | + | 0.132241i | −0.0191014 | + | 0.0100252i | ||||
\(175\) | −6.13663 | + | 1.51254i | −0.463886 | + | 0.114338i | ||||
\(176\) | 61.0263 | + | 32.0291i | 4.60003 | + | 2.41428i | ||||
\(177\) | −0.142892 | − | 1.17682i | −0.0107404 | − | 0.0884551i | ||||
\(178\) | 31.1955 | + | 7.68901i | 2.33820 | + | 0.576315i | ||||
\(179\) | −7.46233 | − | 6.61105i | −0.557761 | − | 0.494133i | 0.336497 | − | 0.941684i | \(-0.390758\pi\) |
−0.894258 | + | 0.447551i | \(0.852296\pi\) | |||||||
\(180\) | 3.42510 | − | 9.03124i | 0.255292 | − | 0.673149i | ||||
\(181\) | −0.365672 | − | 0.529768i | −0.0271802 | − | 0.0393773i | 0.809158 | − | 0.587591i | \(-0.199924\pi\) |
−0.836338 | + | 0.548213i | \(0.815308\pi\) | |||||||
\(182\) | 12.6315 | − | 18.2999i | 0.936311 | − | 1.35648i | ||||
\(183\) | −0.993485 | − | 1.43931i | −0.0734405 | − | 0.106397i | ||||
\(184\) | 6.15359 | + | 8.91501i | 0.453648 | + | 0.657223i | ||||
\(185\) | −3.68340 | − | 5.33632i | −0.270809 | − | 0.392334i | ||||
\(186\) | −0.569346 | − | 0.504397i | −0.0417465 | − | 0.0369842i | ||||
\(187\) | −0.185751 | + | 0.489785i | −0.0135835 | + | 0.0358166i | ||||
\(188\) | 7.00052 | − | 57.6545i | 0.510566 | − | 4.20489i | ||||
\(189\) | −0.183537 | − | 1.51156i | −0.0133504 | − | 0.109950i | ||||
\(190\) | 3.38689 | − | 1.77758i | 0.245711 | − | 0.128959i | ||||
\(191\) | −3.57648 | − | 9.43041i | −0.258785 | − | 0.682360i | −0.999939 | − | 0.0110254i | \(-0.996490\pi\) |
0.741154 | − | 0.671335i | \(-0.234279\pi\) | |||||||
\(192\) | 6.90351 | + | 6.11598i | 0.498218 | + | 0.441383i | ||||
\(193\) | −3.53840 | − | 9.32998i | −0.254699 | − | 0.671587i | −0.999988 | − | 0.00484528i | \(-0.998458\pi\) |
0.745289 | − | 0.666742i | \(-0.232312\pi\) | |||||||
\(194\) | −14.9394 | − | 13.2352i | −1.07259 | − | 0.950231i | ||||
\(195\) | −0.619708 | −0.0443782 | ||||||||
\(196\) | 10.7826 | + | 28.4313i | 0.770184 | + | 2.03081i | ||||
\(197\) | −1.43851 | + | 3.79303i | −0.102489 | + | 0.270242i | −0.976446 | − | 0.215762i | \(-0.930777\pi\) |
0.873957 | + | 0.486004i | \(0.161546\pi\) | |||||||
\(198\) | 17.4370 | + | 25.2619i | 1.23920 | + | 1.79529i | ||||
\(199\) | 13.1143 | − | 6.88292i | 0.929649 | − | 0.487917i | 0.0692844 | − | 0.997597i | \(-0.477928\pi\) |
0.860364 | + | 0.509680i | \(0.170236\pi\) | |||||||
\(200\) | 45.0187 | − | 23.6277i | 3.18331 | − | 1.67073i | ||||
\(201\) | −2.01686 | + | 0.497112i | −0.142259 | + | 0.0350636i | ||||
\(202\) | −0.00482699 | − | 0.00118975i | −0.000339626 | − | 8.37102e-5i | ||||
\(203\) | −0.700428 | + | 0.172640i | −0.0491604 | + | 0.0121170i | ||||
\(204\) | −0.0895542 | + | 0.129742i | −0.00627005 | + | 0.00908374i | ||||
\(205\) | 4.94743 | 0.345544 | ||||||||
\(206\) | 40.3982 | − | 9.95726i | 2.81468 | − | 0.693755i | ||||
\(207\) | 0.357111 | + | 2.94107i | 0.0248209 | + | 0.204419i | ||||
\(208\) | −38.9512 | + | 102.706i | −2.70078 | + | 7.12138i | ||||
\(209\) | −1.09260 | + | 8.99836i | −0.0755766 | + | 0.622430i | ||||
\(210\) | −0.225994 | + | 0.327409i | −0.0155951 | + | 0.0225934i | ||||
\(211\) | 11.4048 | − | 16.5227i | 0.785139 | − | 1.13747i | −0.202277 | − | 0.979328i | \(-0.564834\pi\) |
0.987416 | − | 0.158142i | \(-0.0505504\pi\) | |||||||
\(212\) | −39.5484 | − | 35.0369i | −2.71620 | − | 2.40634i | ||||
\(213\) | −1.70283 | − | 1.50857i | −0.116676 | − | 0.103366i | ||||
\(214\) | −27.7640 | −1.89791 | ||||||||
\(215\) | −1.72314 | + | 2.49640i | −0.117517 | + | 0.170253i | ||||
\(216\) | 4.34349 | + | 11.4528i | 0.295537 | + | 0.779268i | ||||
\(217\) | −1.09540 | − | 1.58697i | −0.0743608 | − | 0.107730i | ||||
\(218\) | 12.7888 | − | 18.5278i | 0.866168 | − | 1.25486i | ||||
\(219\) | −2.11667 | + | 1.87521i | −0.143031 | + | 0.126715i | ||||
\(220\) | 1.45045 | − | 11.9455i | 0.0977893 | − | 0.805367i | ||||
\(221\) | −0.810599 | − | 0.199795i | −0.0545268 | − | 0.0134396i | ||||
\(222\) | 6.02133 | + | 1.48413i | 0.404125 | + | 0.0996080i | ||||
\(223\) | −0.607578 | + | 5.00385i | −0.0406864 | + | 0.335083i | 0.958125 | + | 0.286349i | \(0.0924417\pi\) |
−0.998812 | + | 0.0487338i | \(0.984481\pi\) | |||||||
\(224\) | 23.4690 | + | 34.0008i | 1.56809 | + | 2.27177i | ||||
\(225\) | 13.9053 | 0.927019 | ||||||||
\(226\) | 18.7945 | 1.25019 | ||||||||
\(227\) | 5.67534 | − | 5.02791i | 0.376686 | − | 0.333714i | −0.453444 | − | 0.891285i | \(-0.649805\pi\) |
0.830130 | + | 0.557570i | \(0.188266\pi\) | |||||||
\(228\) | −0.967360 | + | 2.55072i | −0.0640650 | + | 0.168925i | ||||
\(229\) | −21.8695 | −1.44517 | −0.722587 | − | 0.691280i | \(-0.757047\pi\) | ||||
−0.722587 | + | 0.691280i | \(0.757047\pi\) | |||||||
\(230\) | 0.884768 | − | 1.28181i | 0.0583399 | − | 0.0845199i | ||||
\(231\) | −0.334312 | − | 0.881508i | −0.0219961 | − | 0.0579989i | ||||
\(232\) | 5.13839 | − | 2.69684i | 0.337352 | − | 0.177056i | ||||
\(233\) | 19.5904 | + | 10.2818i | 1.28341 | + | 0.673584i | 0.961920 | − | 0.273330i | \(-0.0881250\pi\) |
0.321487 | + | 0.946914i | \(0.395817\pi\) | |||||||
\(234\) | −36.6184 | + | 32.4411i | −2.39382 | + | 2.12074i | ||||
\(235\) | −5.34282 | + | 1.31689i | −0.348527 | + | 0.0859042i | ||||
\(236\) | 4.42211 | + | 36.4194i | 0.287855 | + | 2.37070i | ||||
\(237\) | −0.671096 | + | 1.76954i | −0.0435924 | + | 0.114944i | ||||
\(238\) | −0.401165 | + | 0.355401i | −0.0260037 | + | 0.0230372i | ||||
\(239\) | −15.4857 | + | 13.7192i | −1.00169 | + | 0.887420i | −0.993646 | − | 0.112548i | \(-0.964099\pi\) |
−0.00804342 | + | 0.999968i | \(0.502560\pi\) | |||||||
\(240\) | 0.696888 | − | 1.83754i | 0.0449839 | − | 0.118613i | ||||
\(241\) | 18.4441 | + | 16.3400i | 1.18809 | + | 1.05255i | 0.997484 | + | 0.0708871i | \(0.0225830\pi\) |
0.190604 | + | 0.981667i | \(0.438955\pi\) | |||||||
\(242\) | 5.53364 | + | 4.90238i | 0.355716 | + | 0.315137i | ||||
\(243\) | −0.606917 | + | 4.99841i | −0.0389338 | + | 0.320648i | ||||
\(244\) | 30.7457 | + | 44.5428i | 1.96829 | + | 2.85156i | ||||
\(245\) | 2.15646 | − | 1.91046i | 0.137771 | − | 0.122055i | ||||
\(246\) | −3.54182 | + | 3.13778i | −0.225818 | + | 0.200058i | ||||
\(247\) | −14.4467 | −0.919220 | ||||||||
\(248\) | 11.6108 | + | 10.2863i | 0.737289 | + | 0.653181i | ||||
\(249\) | −1.78603 | + | 0.937382i | −0.113185 | + | 0.0594041i | ||||
\(250\) | −11.3036 | − | 10.0141i | −0.714902 | − | 0.633348i | ||||
\(251\) | 8.31888 | − | 7.36988i | 0.525083 | − | 0.465183i | −0.358452 | − | 0.933548i | \(-0.616695\pi\) |
0.883535 | + | 0.468365i | \(0.155157\pi\) | |||||||
\(252\) | 2.82289 | + | 23.2486i | 0.177825 | + | 1.46452i | ||||
\(253\) | 1.30883 | + | 3.45111i | 0.0822856 | + | 0.216969i | ||||
\(254\) | −15.3699 | + | 13.6165i | −0.964391 | + | 0.854376i | ||||
\(255\) | 0.0145027 | + | 0.00357458i | 0.000908191 | + | 0.000223849i | ||||
\(256\) | −84.9047 | − | 75.2190i | −5.30655 | − | 4.70119i | ||||
\(257\) | −0.211269 | + | 0.306075i | −0.0131786 | + | 0.0190925i | −0.829518 | − | 0.558480i | \(-0.811385\pi\) |
0.816339 | + | 0.577573i | \(0.196000\pi\) | |||||||
\(258\) | −0.349696 | − | 2.88000i | −0.0217711 | − | 0.179301i | ||||
\(259\) | 13.9208 | + | 7.30620i | 0.864996 | + | 0.453985i | ||||
\(260\) | 19.1783 | 1.18939 | ||||||||
\(261\) | 1.58714 | 0.0982412 | ||||||||
\(262\) | −13.3982 | − | 7.03191i | −0.827743 | − | 0.434433i | ||||
\(263\) | 3.96666 | + | 0.977694i | 0.244595 | + | 0.0602872i | 0.359707 | − | 0.933065i | \(-0.382877\pi\) |
−0.115112 | + | 0.993352i | \(0.536723\pi\) | |||||||
\(264\) | 4.30819 | + | 6.24149i | 0.265151 | + | 0.384137i | ||||
\(265\) | −1.77518 | + | 4.68076i | −0.109048 | + | 0.287537i | ||||
\(266\) | −5.26839 | + | 7.63258i | −0.323026 | + | 0.467984i | ||||
\(267\) | 1.62507 | + | 1.43969i | 0.0994528 | + | 0.0881075i | ||||
\(268\) | 62.4165 | − | 15.3843i | 3.81269 | − | 0.939745i | ||||
\(269\) | −20.1059 | −1.22588 | −0.612939 | − | 0.790131i | \(-0.710013\pi\) | ||||
−0.612939 | + | 0.790131i | \(0.710013\pi\) | |||||||
\(270\) | 1.31824 | − | 1.16786i | 0.0802254 | − | 0.0710735i | ||||
\(271\) | −5.29868 | + | 7.67646i | −0.321872 | + | 0.466312i | −0.950202 | − | 0.311635i | \(-0.899123\pi\) |
0.628330 | + | 0.777947i | \(0.283739\pi\) | |||||||
\(272\) | 1.50398 | − | 2.17889i | 0.0911921 | − | 0.132115i | ||||
\(273\) | 1.33046 | − | 0.698277i | 0.0805228 | − | 0.0422616i | ||||
\(274\) | −5.10830 | − | 7.40065i | −0.308604 | − | 0.447090i | ||||
\(275\) | 16.8201 | − | 4.14578i | 1.01429 | − | 0.250000i | ||||
\(276\) | 0.133894 | + | 1.10271i | 0.00805946 | + | 0.0663756i | ||||
\(277\) | 1.04266 | − | 8.58704i | 0.0626471 | − | 0.515945i | −0.927280 | − | 0.374368i | \(-0.877860\pi\) |
0.989927 | − | 0.141577i | \(-0.0452173\pi\) | |||||||
\(278\) | −31.2386 | − | 7.69962i | −1.87357 | − | 0.461793i | ||||
\(279\) | 1.50440 | + | 3.96679i | 0.0900663 | + | 0.237485i | ||||
\(280\) | 4.60876 | − | 6.67695i | 0.275426 | − | 0.399024i | ||||
\(281\) | −1.44801 | − | 2.09780i | −0.0863810 | − | 0.125145i | 0.777411 | − | 0.628993i | \(-0.216532\pi\) |
−0.863792 | + | 0.503848i | \(0.831917\pi\) | |||||||
\(282\) | 2.98967 | − | 4.33129i | 0.178032 | − | 0.257924i | ||||
\(283\) | −0.129522 | + | 1.06671i | −0.00769927 | + | 0.0634092i | −0.996052 | − | 0.0887706i | \(-0.971706\pi\) |
0.988353 | + | 0.152180i | \(0.0486293\pi\) | |||||||
\(284\) | 52.6979 | + | 46.6863i | 3.12704 | + | 2.77032i | ||||
\(285\) | 0.258469 | 0.0153104 | ||||||||
\(286\) | −34.6222 | + | 50.1589i | −2.04725 | + | 2.96596i | ||||
\(287\) | −10.6217 | + | 5.57469i | −0.626978 | + | 0.329064i | ||||
\(288\) | −32.2319 | − | 84.9885i | −1.89928 | − | 5.00799i | ||||
\(289\) | −15.0349 | − | 7.89094i | −0.884408 | − | 0.464173i | ||||
\(290\) | −0.624539 | − | 0.553293i | −0.0366742 | − | 0.0324905i | ||||
\(291\) | −0.478252 | − | 1.26105i | −0.0280356 | − | 0.0739238i | ||||
\(292\) | 65.5053 | − | 58.0326i | 3.83341 | − | 3.39610i | ||||
\(293\) | −10.8197 | + | 15.6750i | −0.632092 | + | 0.915744i | −0.999900 | − | 0.0141581i | \(-0.995493\pi\) |
0.367807 | + | 0.929902i | \(0.380109\pi\) | |||||||
\(294\) | −0.332132 | + | 2.73536i | −0.0193704 | + | 0.159529i | ||||
\(295\) | 3.07782 | − | 1.61537i | 0.179198 | − | 0.0940502i | ||||
\(296\) | −122.795 | − | 30.2662i | −7.13731 | − | 1.75919i | ||||
\(297\) | 0.503063 | + | 4.14310i | 0.0291907 | + | 0.240407i | ||||
\(298\) | −17.1937 | + | 4.23787i | −0.996006 | + | 0.245493i | ||||
\(299\) | −5.20874 | + | 2.73376i | −0.301229 | + | 0.158097i | ||||
\(300\) | 5.21359 | 0.301007 | ||||||||
\(301\) | 0.886520 | − | 7.30115i | 0.0510981 | − | 0.420831i | ||||
\(302\) | 33.7294 | − | 8.31354i | 1.94091 | − | 0.478391i | ||||
\(303\) | −0.000251453 | 0 | 0.000222768i | −1.44456e−5 | 0 | 1.27977e-5i | ||||
\(304\) | 16.2459 | − | 42.8369i | 0.931766 | − | 2.45687i | ||||
\(305\) | 2.91306 | − | 4.22030i | 0.166801 | − | 0.241654i | ||||
\(306\) | 1.04408 | − | 0.547978i | 0.0596863 | − | 0.0313258i | ||||
\(307\) | −7.79957 | + | 20.5658i | −0.445145 | + | 1.17375i | 0.505323 | + | 0.862930i | \(0.331373\pi\) |
−0.950468 | + | 0.310821i | \(0.899396\pi\) | |||||||
\(308\) | 10.3460 | + | 27.2803i | 0.589521 | + | 1.55444i | ||||
\(309\) | 2.72984 | + | 0.672846i | 0.155295 | + | 0.0382768i | ||||
\(310\) | 0.790882 | − | 2.08538i | 0.0449191 | − | 0.118442i | ||||
\(311\) | 3.44723 | + | 28.3905i | 0.195475 | + | 1.60988i | 0.678722 | + | 0.734395i | \(0.262534\pi\) |
−0.483248 | + | 0.875484i | \(0.660543\pi\) | |||||||
\(312\) | −9.04734 | + | 8.01525i | −0.512205 | + | 0.453774i | ||||
\(313\) | 5.97997 | 0.338008 | 0.169004 | − | 0.985615i | \(-0.445945\pi\) | ||||
0.169004 | + | 0.985615i | \(0.445945\pi\) | |||||||
\(314\) | −0.857634 | − | 0.759797i | −0.0483991 | − | 0.0428778i | ||||
\(315\) | 1.96475 | − | 1.03118i | 0.110701 | − | 0.0581005i | ||||
\(316\) | 20.7686 | − | 54.7624i | 1.16833 | − | 3.08062i | ||||
\(317\) | −23.6789 | + | 12.4277i | −1.32994 | + | 0.698007i | −0.971833 | − | 0.235672i | \(-0.924271\pi\) |
−0.358109 | + | 0.933680i | \(0.616578\pi\) | |||||||
\(318\) | −1.69782 | − | 4.47677i | −0.0952088 | − | 0.251045i | ||||
\(319\) | 1.91983 | − | 0.473195i | 0.107490 | − | 0.0264938i | ||||
\(320\) | −9.58971 | + | 25.2860i | −0.536081 | + | 1.41353i | ||||
\(321\) | −1.66121 | − | 0.871871i | −0.0927198 | − | 0.0486631i | ||||
\(322\) | −0.455195 | + | 3.74887i | −0.0253670 | + | 0.208916i | ||||
\(323\) | 0.338087 | + | 0.0833309i | 0.0188117 | + | 0.00463666i | ||||
\(324\) | 6.13450 | − | 50.5221i | 0.340805 | − | 2.80679i | ||||
\(325\) | 9.79053 | + | 25.8155i | 0.543081 | + | 1.43199i | ||||
\(326\) | 10.9866 | + | 15.9168i | 0.608489 | + | 0.881548i | ||||
\(327\) | 1.34702 | − | 0.706972i | 0.0744905 | − | 0.0390956i | ||||
\(328\) | 72.2294 | − | 63.9897i | 3.98820 | − | 3.53324i | ||||
\(329\) | 9.98669 | − | 8.84744i | 0.550584 | − | 0.487775i | ||||
\(330\) | 0.619435 | − | 0.897406i | 0.0340988 | − | 0.0494006i | ||||
\(331\) | −2.32684 | − | 19.1632i | −0.127895 | − | 1.05331i | −0.905438 | − | 0.424478i | \(-0.860458\pi\) |
0.777543 | − | 0.628829i | \(-0.216466\pi\) | |||||||
\(332\) | 55.2729 | − | 29.0094i | 3.03349 | − | 1.59210i | ||||
\(333\) | −25.8904 | − | 22.9369i | −1.41879 | − | 1.25693i | ||||
\(334\) | −4.59125 | − | 4.06749i | −0.251222 | − | 0.222563i | ||||
\(335\) | −3.45995 | − | 5.01260i | −0.189037 | − | 0.273868i | ||||
\(336\) | 0.574359 | + | 4.73027i | 0.0313339 | + | 0.258058i | ||||
\(337\) | 4.97064 | + | 2.60879i | 0.270768 | + | 0.142110i | 0.594643 | − | 0.803990i | \(-0.297293\pi\) |
−0.323875 | + | 0.946100i | \(0.604986\pi\) | |||||||
\(338\) | −53.7291 | − | 28.1992i | −2.92248 | − | 1.53384i | ||||
\(339\) | 1.12454 | + | 0.590202i | 0.0610764 | + | 0.0320554i | ||||
\(340\) | −0.448818 | − | 0.110624i | −0.0243406 | − | 0.00599941i | ||||
\(341\) | 3.00243 | + | 4.34977i | 0.162591 | + | 0.235553i | ||||
\(342\) | 15.2729 | − | 13.5306i | 0.825864 | − | 0.731652i | ||||
\(343\) | −5.82124 | + | 15.3493i | −0.314317 | + | 0.828786i | ||||
\(344\) | 7.13145 | + | 58.7328i | 0.384502 | + | 3.16666i | ||||
\(345\) | 0.0931910 | − | 0.0489104i | 0.00501723 | − | 0.00263325i | ||||
\(346\) | −23.8750 | + | 5.88465i | −1.28353 | + | 0.316361i | ||||
\(347\) | −0.472744 | − | 1.24652i | −0.0253782 | − | 0.0669168i | 0.921728 | − | 0.387836i | \(-0.126777\pi\) |
−0.947107 | + | 0.320919i | \(0.896008\pi\) | |||||||
\(348\) | 0.595074 | 0.0318993 | ||||||||
\(349\) | 7.44346 | + | 6.59433i | 0.398439 | + | 0.352987i | 0.838424 | − | 0.545019i | \(-0.183478\pi\) |
−0.439984 | + | 0.898005i | \(0.645016\pi\) | |||||||
\(350\) | 17.2095 | + | 4.24175i | 0.919884 | + | 0.226731i | ||||
\(351\) | −6.45837 | + | 1.59185i | −0.344722 | + | 0.0849664i | ||||
\(352\) | −64.3271 | − | 93.1939i | −3.42865 | − | 4.96725i | ||||
\(353\) | 3.04956 | − | 25.1153i | 0.162311 | − | 1.33676i | −0.652835 | − | 0.757500i | \(-0.726421\pi\) |
0.815146 | − | 0.579255i | \(-0.196656\pi\) | |||||||
\(354\) | −1.17888 | + | 3.10845i | −0.0626568 | + | 0.165212i | ||||
\(355\) | 2.36541 | − | 6.23706i | 0.125543 | − | 0.331029i | ||||
\(356\) | −50.2916 | − | 44.5545i | −2.66545 | − | 2.36138i | ||||
\(357\) | −0.0351636 | + | 0.00866706i | −0.00186106 | + | 0.000458709i | ||||
\(358\) | 9.91422 | + | 26.1416i | 0.523983 | + | 1.38163i | ||||
\(359\) | 3.70484 | + | 9.76887i | 0.195534 | + | 0.515581i | 0.996544 | − | 0.0830705i | \(-0.0264727\pi\) |
−0.801010 | + | 0.598652i | \(0.795703\pi\) | |||||||
\(360\) | −13.3607 | + | 11.8365i | −0.704169 | + | 0.623839i | ||||
\(361\) | −12.9745 | −0.682871 | ||||||||
\(362\) | 0.217596 | + | 1.79206i | 0.0114366 | + | 0.0941888i | ||||
\(363\) | 0.177147 | + | 0.467098i | 0.00929780 | + | 0.0245163i | ||||
\(364\) | −41.1740 | + | 21.6098i | −2.15810 | + | 1.13266i | ||||
\(365\) | −7.34195 | − | 3.85335i | −0.384295 | − | 0.201694i | ||||
\(366\) | 0.591180 | + | 4.86881i | 0.0309015 | + | 0.254497i | ||||
\(367\) | 2.66114 | − | 0.655912i | 0.138910 | − | 0.0342383i | −0.169247 | − | 0.985574i | \(-0.554134\pi\) |
0.308158 | + | 0.951335i | \(0.400288\pi\) | |||||||
\(368\) | −2.24862 | − | 18.5190i | −0.117217 | − | 0.965372i | ||||
\(369\) | 25.6250 | − | 6.31598i | 1.33398 | − | 0.328797i | ||||
\(370\) | 2.19183 | + | 18.0514i | 0.113948 | + | 0.938446i | ||||
\(371\) | −1.46306 | − | 12.0494i | −0.0759584 | − | 0.625574i | ||||
\(372\) | 0.564055 | + | 1.48729i | 0.0292449 | + | 0.0771124i | ||||
\(373\) | −6.72295 | + | 9.73988i | −0.348101 | + | 0.504312i | −0.957453 | − | 0.288588i | \(-0.906814\pi\) |
0.609352 | + | 0.792900i | \(0.291430\pi\) | |||||||
\(374\) | 1.09957 | − | 0.974132i | 0.0568573 | − | 0.0503711i | ||||
\(375\) | −0.361859 | − | 0.954142i | −0.0186863 | − | 0.0492717i | ||||
\(376\) | −60.9693 | + | 88.3293i | −3.14425 | + | 4.55523i | ||||
\(377\) | 1.11748 | + | 2.94656i | 0.0575532 | + | 0.151755i | ||||
\(378\) | −1.51421 | + | 3.99265i | −0.0778827 | + | 0.205360i | ||||
\(379\) | −1.87256 | + | 1.65895i | −0.0961871 | + | 0.0852143i | −0.709846 | − | 0.704357i | \(-0.751235\pi\) |
0.613659 | + | 0.789571i | \(0.289697\pi\) | |||||||
\(380\) | −7.99893 | −0.410337 | ||||||||
\(381\) | −1.34723 | + | 0.332062i | −0.0690205 | + | 0.0170120i | ||||
\(382\) | −3.40932 | + | 28.0783i | −0.174436 | + | 1.43661i | ||||
\(383\) | −13.7300 | + | 3.38415i | −0.701572 | + | 0.172922i | −0.573937 | − | 0.818899i | \(-0.694585\pi\) |
−0.127635 | + | 0.991821i | \(0.540739\pi\) | |||||||
\(384\) | −5.05046 | − | 13.3170i | −0.257730 | − | 0.679579i | ||||
\(385\) | 2.06916 | − | 1.83311i | 0.105454 | − | 0.0934241i | ||||
\(386\) | −3.37301 | + | 27.7793i | −0.171682 | + | 1.41393i | ||||
\(387\) | −5.73796 | + | 15.1297i | −0.291677 | + | 0.769088i | ||||
\(388\) | 14.8006 | + | 39.0260i | 0.751387 | + | 1.98124i | ||||
\(389\) | 17.3033 | + | 4.26489i | 0.877314 | + | 0.216238i | 0.652157 | − | 0.758084i | \(-0.273864\pi\) |
0.225157 | + | 0.974323i | \(0.427711\pi\) | |||||||
\(390\) | 1.53883 | + | 0.807641i | 0.0779218 | + | 0.0408965i | ||||
\(391\) | 0.137666 | − | 0.0339316i | 0.00696206 | − | 0.00171599i | ||||
\(392\) | 6.77328 | − | 55.7830i | 0.342102 | − | 2.81747i | ||||
\(393\) | −0.580835 | − | 0.841484i | −0.0292992 | − | 0.0424473i | ||||
\(394\) | 8.51534 | − | 7.54393i | 0.428997 | − | 0.380058i | ||||
\(395\) | −5.54918 | −0.279210 | ||||||||
\(396\) | −7.73735 | − | 63.7228i | −0.388817 | − | 3.20219i | ||||
\(397\) | 0.457362 | − | 3.76671i | 0.0229543 | − | 0.189046i | −0.976721 | − | 0.214512i | \(-0.931184\pi\) |
0.999676 | + | 0.0254661i | \(0.00810699\pi\) | |||||||
\(398\) | −41.5351 | −2.08197 | ||||||||
\(399\) | −0.554910 | + | 0.291239i | −0.0277803 | + | 0.0145802i | ||||
\(400\) | −87.5574 | −4.37787 | ||||||||
\(401\) | −15.2502 | − | 8.00390i | −0.761556 | − | 0.399696i | 0.0387792 | − | 0.999248i | \(-0.487653\pi\) |
−0.800336 | + | 0.599552i | \(0.795345\pi\) | |||||||
\(402\) | 5.65606 | + | 1.39409i | 0.282098 | + | 0.0695310i | ||||
\(403\) | −6.30520 | + | 5.58592i | −0.314085 | + | 0.278255i | ||||
\(404\) | 0.00778179 | + | 0.00689406i | 0.000387158 | + | 0.000342992i | ||||
\(405\) | −4.68186 | + | 1.15398i | −0.232644 | + | 0.0573415i | ||||
\(406\) | 1.96427 | + | 0.484149i | 0.0974851 | + | 0.0240279i | ||||
\(407\) | −38.1560 | − | 20.0258i | −1.89132 | − | 0.992643i | ||||
\(408\) | 0.257963 | − | 0.135389i | 0.0127711 | − | 0.00670277i | ||||
\(409\) | 34.3488 | + | 18.0277i | 1.69844 | + | 0.891410i | 0.980805 | + | 0.194992i | \(0.0624679\pi\) |
0.717636 | + | 0.696419i | \(0.245224\pi\) | |||||||
\(410\) | −12.2853 | − | 6.44780i | −0.606726 | − | 0.318434i | ||||
\(411\) | −0.0732442 | − | 0.603220i | −0.00361287 | − | 0.0297547i | ||||
\(412\) | −84.4813 | − | 20.8228i | −4.16209 | − | 1.02586i | ||||
\(413\) | −4.78763 | + | 6.93608i | −0.235584 | + | 0.341302i | ||||
\(414\) | 2.94623 | − | 7.76856i | 0.144799 | − | 0.381804i | ||||
\(415\) | −4.42699 | − | 3.92197i | −0.217313 | − | 0.192522i | ||||
\(416\) | 135.089 | − | 119.679i | 6.62329 | − | 5.86772i | ||||
\(417\) | −1.62732 | − | 1.44168i | −0.0796900 | − | 0.0705992i | ||||
\(418\) | 14.4403 | − | 20.9204i | 0.706299 | − | 1.02325i | ||||
\(419\) | −14.9222 | + | 21.6185i | −0.728997 | + | 1.05613i | 0.266728 | + | 0.963772i | \(0.414057\pi\) |
−0.995725 | + | 0.0923629i | \(0.970558\pi\) | |||||||
\(420\) | 0.736656 | − | 0.386627i | 0.0359451 | − | 0.0188655i | ||||
\(421\) | 21.2371 | − | 5.23447i | 1.03503 | − | 0.255112i | 0.315028 | − | 0.949082i | \(-0.397986\pi\) |
0.720004 | + | 0.693970i | \(0.244140\pi\) | |||||||
\(422\) | −49.8533 | + | 26.1650i | −2.42682 | + | 1.27369i | ||||
\(423\) | −25.9917 | + | 13.6415i | −1.26376 | + | 0.663271i | ||||
\(424\) | 34.6241 | + | 91.2962i | 1.68149 | + | 4.43373i | ||||
\(425\) | −0.0802136 | − | 0.660619i | −0.00389093 | − | 0.0320447i | ||||
\(426\) | 2.26232 | + | 5.96525i | 0.109610 | + | 0.289017i | ||||
\(427\) | −1.49871 | + | 12.3430i | −0.0725277 | + | 0.597319i | ||||
\(428\) | 51.4100 | + | 26.9821i | 2.48500 | + | 1.30423i | ||||
\(429\) | −3.64669 | + | 1.91393i | −0.176064 | + | 0.0924055i | ||||
\(430\) | 7.53229 | − | 3.95325i | 0.363239 | − | 0.190643i | ||||
\(431\) | 3.22489 | + | 1.69255i | 0.155337 | + | 0.0815274i | 0.540601 | − | 0.841279i | \(-0.318197\pi\) |
−0.385263 | + | 0.922807i | \(0.625889\pi\) | |||||||
\(432\) | 2.54261 | − | 20.9403i | 0.122331 | − | 1.00749i | ||||
\(433\) | −3.28282 | − | 8.65608i | −0.157762 | − | 0.415985i | 0.832708 | − | 0.553712i | \(-0.186789\pi\) |
−0.990470 | + | 0.137728i | \(0.956020\pi\) | |||||||
\(434\) | 0.651827 | + | 5.36828i | 0.0312887 | + | 0.257686i | ||||
\(435\) | −0.0199932 | − | 0.0527177i | −0.000958599 | − | 0.00252762i | ||||
\(436\) | −41.6867 | + | 21.8789i | −1.99643 | + | 1.04781i | ||||
\(437\) | 2.17248 | − | 1.14020i | 0.103924 | − | 0.0545433i | ||||
\(438\) | 7.69992 | − | 1.89786i | 0.367916 | − | 0.0906832i | ||||
\(439\) | −4.03730 | + | 2.11894i | −0.192690 | + | 0.101132i | −0.558309 | − | 0.829633i | \(-0.688550\pi\) |
0.365619 | + | 0.930765i | \(0.380857\pi\) | |||||||
\(440\) | −12.6323 | + | 18.3011i | −0.602222 | + | 0.872470i | ||||
\(441\) | 8.73034 | − | 12.6481i | 0.415731 | − | 0.602290i | ||||
\(442\) | 1.75246 | + | 1.55254i | 0.0833560 | + | 0.0738470i | ||||
\(443\) | −20.5516 | + | 18.2071i | −0.976435 | + | 0.865046i | −0.990866 | − | 0.134850i | \(-0.956945\pi\) |
0.0144310 | + | 0.999896i | \(0.495406\pi\) | |||||||
\(444\) | −9.70724 | − | 8.59986i | −0.460685 | − | 0.408131i | ||||
\(445\) | −2.25740 | + | 5.95227i | −0.107011 | + | 0.282165i | ||||
\(446\) | 8.03004 | − | 11.6335i | 0.380234 | − | 0.550863i | ||||
\(447\) | −1.16184 | − | 0.286367i | −0.0549530 | − | 0.0135447i | ||||
\(448\) | −7.90363 | − | 65.0922i | −0.373411 | − | 3.07532i | ||||
\(449\) | 13.3935 | + | 7.02947i | 0.632080 | + | 0.331741i | 0.750154 | − | 0.661264i | \(-0.229980\pi\) |
−0.118073 | + | 0.993005i | \(0.537672\pi\) | |||||||
\(450\) | −34.5290 | − | 18.1222i | −1.62771 | − | 0.854290i | ||||
\(451\) | 29.1133 | − | 15.2799i | 1.37089 | − | 0.719500i | ||||
\(452\) | −34.8014 | − | 18.2652i | −1.63692 | − | 0.859121i | ||||
\(453\) | 2.27921 | + | 0.561774i | 0.107086 | + | 0.0263944i | ||||
\(454\) | −20.6455 | + | 5.08865i | −0.968939 | + | 0.238822i | ||||
\(455\) | 3.29777 | + | 2.92157i | 0.154602 | + | 0.136965i | ||||
\(456\) | 3.77349 | − | 3.34302i | 0.176710 | − | 0.156551i | ||||
\(457\) | 30.9523 | + | 7.62906i | 1.44789 | + | 0.356872i | 0.883420 | − | 0.468583i | \(-0.155235\pi\) |
0.564468 | + | 0.825455i | \(0.309081\pi\) | |||||||
\(458\) | 54.3053 | + | 28.5016i | 2.53752 | + | 1.33179i | ||||
\(459\) | 0.160323 | 0.00748326 | ||||||||
\(460\) | −2.88401 | + | 1.51365i | −0.134468 | + | 0.0705741i | ||||
\(461\) | 20.9030 | 0.973551 | 0.486775 | − | 0.873527i | \(-0.338173\pi\) | ||||
0.486775 | + | 0.873527i | \(0.338173\pi\) | |||||||
\(462\) | −0.318686 | + | 2.62462i | −0.0148266 | + | 0.122108i | ||||
\(463\) | 2.00464 | + | 16.5097i | 0.0931637 | + | 0.767272i | 0.962166 | + | 0.272464i | \(0.0878385\pi\) |
−0.869002 | + | 0.494808i | \(0.835238\pi\) | |||||||
\(464\) | −9.99371 | −0.463946 | ||||||||
\(465\) | 0.112808 | − | 0.0999393i | 0.00523135 | − | 0.00463457i | ||||
\(466\) | −35.2461 | − | 51.0627i | −1.63274 | − | 2.36544i | ||||
\(467\) | −1.95599 | + | 16.1090i | −0.0905123 | + | 0.745436i | 0.874826 | + | 0.484436i | \(0.160975\pi\) |
−0.965339 | + | 0.261000i | \(0.915948\pi\) | |||||||
\(468\) | 99.3328 | − | 24.4833i | 4.59166 | − | 1.13174i | ||||
\(469\) | 13.0763 | + | 6.86298i | 0.603808 | + | 0.316903i | ||||
\(470\) | 14.9833 | + | 3.69305i | 0.691128 | + | 0.170348i | ||||
\(471\) | −0.0274552 | − | 0.0723933i | −0.00126507 | − | 0.00333571i | ||||
\(472\) | 24.0413 | − | 63.3916i | 1.10659 | − | 2.91784i | ||||
\(473\) | −2.42989 | + | 20.0120i | −0.111727 | + | 0.920151i | ||||
\(474\) | 3.97261 | − | 3.51942i | 0.182468 | − | 0.161652i | ||||
\(475\) | −4.08346 | − | 10.7672i | −0.187362 | − | 0.494033i | ||||
\(476\) | 1.08822 | − | 0.268222i | 0.0498785 | − | 0.0122939i | ||||
\(477\) | −3.21889 | + | 26.5100i | −0.147383 | + | 1.21381i | ||||
\(478\) | 56.3332 | − | 13.8849i | 2.57662 | − | 0.635080i | ||||
\(479\) | 35.8931 | 1.64000 | 0.819998 | − | 0.572366i | \(-0.193974\pi\) | ||||
0.819998 | + | 0.572366i | \(0.193974\pi\) | |||||||
\(480\) | −2.41692 | + | 2.14120i | −0.110317 | + | 0.0977321i | ||||
\(481\) | 24.3538 | − | 64.2157i | 1.11044 | − | 2.92799i | ||||
\(482\) | −24.5042 | − | 64.6123i | −1.11614 | − | 2.94301i | ||||
\(483\) | −0.144961 | + | 0.210012i | −0.00659595 | + | 0.00955589i | ||||
\(484\) | −5.48222 | − | 14.4554i | −0.249192 | − | 0.657064i | ||||
\(485\) | 2.96005 | − | 2.62237i | 0.134409 | − | 0.119076i | ||||
\(486\) | 8.02131 | − | 11.6209i | 0.363854 | − | 0.527133i | ||||
\(487\) | 10.7766 | + | 28.4156i | 0.488336 | + | 1.28764i | 0.922220 | + | 0.386666i | \(0.126374\pi\) |
−0.433884 | + | 0.900969i | \(0.642857\pi\) | |||||||
\(488\) | −12.0561 | − | 99.2910i | −0.545755 | − | 4.49469i | ||||
\(489\) | 0.157528 | + | 1.29736i | 0.00712367 | + | 0.0586687i | ||||
\(490\) | −7.84466 | + | 1.93353i | −0.354386 | + | 0.0873482i | ||||
\(491\) | 3.77187 | + | 31.0641i | 0.170222 | + | 1.40190i | 0.788060 | + | 0.615599i | \(0.211086\pi\) |
−0.617838 | + | 0.786306i | \(0.711991\pi\) | |||||||
\(492\) | 9.60771 | − | 2.36809i | 0.433149 | − | 0.106762i | ||||
\(493\) | −0.00915550 | − | 0.0754023i | −0.000412343 | − | 0.00339595i | ||||
\(494\) | 35.8734 | + | 18.8278i | 1.61402 | + | 0.847103i | ||||
\(495\) | −5.38525 | + | 2.82640i | −0.242049 | + | 0.127037i | ||||
\(496\) | −9.47277 | − | 24.9776i | −0.425340 | − | 1.12153i | ||||
\(497\) | 1.94952 | + | 16.0557i | 0.0874477 | + | 0.720197i | ||||
\(498\) | 5.65665 | 0.253481 | ||||||||
\(499\) | 8.55377 | − | 7.57798i | 0.382919 | − | 0.339237i | −0.449603 | − | 0.893229i | \(-0.648434\pi\) |
0.832522 | + | 0.553992i | \(0.186896\pi\) | |||||||
\(500\) | 11.1985 | + | 29.5281i | 0.500814 | + | 1.32054i | ||||
\(501\) | −0.146978 | − | 0.387550i | −0.00656650 | − | 0.0173144i | ||||
\(502\) | −30.2620 | + | 7.45891i | −1.35066 | + | 0.332907i | ||||
\(503\) | −13.9410 | − | 12.3506i | −0.621598 | − | 0.550687i | 0.292457 | − | 0.956279i | \(-0.405527\pi\) |
−0.914055 | + | 0.405591i | \(0.867066\pi\) | |||||||
\(504\) | 15.3469 | − | 40.4665i | 0.683606 | − | 1.80252i | ||||
\(505\) | 0.000349295 | 0 | 0.000921014i | 1.55434e−5 | 0 | 4.09846e-5i | ||||
\(506\) | 1.24766 | − | 10.2754i | 0.0554652 | − | 0.456797i | ||||
\(507\) | −2.32925 | − | 3.37450i | −0.103446 | − | 0.149867i | ||||
\(508\) | 41.6930 | − | 10.2764i | 1.84983 | − | 0.455942i | ||||
\(509\) | −4.60564 | − | 1.13519i | −0.204141 | − | 0.0503163i | 0.135919 | − | 0.990720i | \(-0.456601\pi\) |
−0.340060 | + | 0.940404i | \(0.610447\pi\) | |||||||
\(510\) | −0.0313537 | − | 0.0277770i | −0.00138837 | − | 0.00122999i | ||||
\(511\) | 20.1044 | 0.889365 | ||||||||
\(512\) | 59.4991 | + | 156.886i | 2.62952 | + | 6.93346i | ||||
\(513\) | 2.69367 | − | 0.663931i | 0.118929 | − | 0.0293133i | ||||
\(514\) | 0.923509 | − | 0.484695i | 0.0407343 | − | 0.0213790i | ||||
\(515\) | 0.993693 | + | 8.18380i | 0.0437873 | + | 0.360621i | ||||
\(516\) | −2.15137 | + | 5.67269i | −0.0947086 | + | 0.249726i | ||||
\(517\) | −27.3729 | + | 24.2502i | −1.20386 | + | 1.06652i | ||||
\(518\) | −25.0457 | − | 36.2849i | −1.10044 | − | 1.59427i | ||||
\(519\) | −1.61331 | − | 0.397646i | −0.0708165 | − | 0.0174547i | ||||
\(520\) | −31.3819 | − | 16.4705i | −1.37619 | − | 0.722278i | ||||
\(521\) | −26.7520 | − | 14.0405i | −1.17202 | − | 0.615126i | −0.237626 | − | 0.971357i | \(-0.576369\pi\) |
−0.934398 | + | 0.356231i | \(0.884062\pi\) | |||||||
\(522\) | −3.94111 | − | 2.06845i | −0.172498 | − | 0.0905337i | ||||
\(523\) | 4.97215 | + | 40.9493i | 0.217417 | + | 1.79059i | 0.537565 | + | 0.843222i | \(0.319344\pi\) |
−0.320149 | + | 0.947367i | \(0.603733\pi\) | |||||||
\(524\) | 17.9753 | + | 26.0417i | 0.785253 | + | 1.13764i | ||||
\(525\) | 0.896494 | + | 0.794224i | 0.0391262 | + | 0.0346628i | ||||
\(526\) | −8.57565 | − | 7.59737i | −0.373916 | − | 0.331261i | ||||
\(527\) | 0.179778 | − | 0.0943545i | 0.00783123 | − | 0.00411015i | ||||
\(528\) | −1.57428 | − | 12.9654i | −0.0685118 | − | 0.564245i | ||||
\(529\) | −12.4980 | + | 18.1064i | −0.543390 | + | 0.787236i | ||||
\(530\) | 10.5083 | − | 9.30954i | 0.456451 | − | 0.404381i | ||||
\(531\) | 13.8792 | − | 12.2959i | 0.602306 | − | 0.533596i | ||||
\(532\) | 17.1730 | − | 9.01307i | 0.744543 | − | 0.390766i | ||||
\(533\) | 29.7680 | + | 43.1264i | 1.28939 | + | 1.86801i | ||||
\(534\) | −2.15902 | − | 5.69287i | −0.0934299 | − | 0.246354i | ||||
\(535\) | 0.663080 | − | 5.46096i | 0.0286675 | − | 0.236098i | ||||
\(536\) | −115.346 | − | 28.4302i | −4.98217 | − | 1.22800i | ||||
\(537\) | −0.227724 | + | 1.87547i | −0.00982701 | + | 0.0809327i | ||||
\(538\) | 49.9261 | + | 26.2032i | 2.15247 | + | 1.12970i | ||||
\(539\) | 6.78943 | − | 17.9023i | 0.292441 | − | 0.771105i | ||||
\(540\) | −3.57591 | + | 0.881384i | −0.153883 | + | 0.0379287i | ||||
\(541\) | 8.72758 | + | 23.0127i | 0.375228 | + | 0.989394i | 0.981043 | + | 0.193789i | \(0.0620777\pi\) |
−0.605815 | + | 0.795605i | \(0.707153\pi\) | |||||||
\(542\) | 23.1619 | − | 12.1563i | 0.994889 | − | 0.522158i | ||||
\(543\) | −0.0432565 | + | 0.114058i | −0.00185632 | + | 0.00489470i | ||||
\(544\) | −3.85174 | + | 2.02155i | −0.165142 | + | 0.0866731i | ||||
\(545\) | 3.33883 | + | 2.95795i | 0.143020 | + | 0.126705i | ||||
\(546\) | −4.21377 | −0.180333 | ||||||||
\(547\) | −33.8830 | + | 30.0177i | −1.44873 | + | 1.28347i | −0.557302 | + | 0.830310i | \(0.688163\pi\) |
−0.891431 | + | 0.453156i | \(0.850298\pi\) | |||||||
\(548\) | 2.26671 | + | 18.6680i | 0.0968291 | + | 0.797459i | ||||
\(549\) | 9.70033 | − | 25.5777i | 0.414000 | − | 1.09163i | ||||
\(550\) | −47.1700 | − | 11.6264i | −2.01134 | − | 0.495750i | ||||
\(551\) | −0.466082 | − | 1.22896i | −0.0198558 | − | 0.0523554i | ||||
\(552\) | 0.727927 | − | 1.91939i | 0.0309826 | − | 0.0816945i | ||||
\(553\) | 11.9136 | − | 6.25273i | 0.506617 | − | 0.265893i | ||||
\(554\) | −13.7802 | + | 19.9641i | −0.585466 | + | 0.848194i | ||||
\(555\) | −0.435721 | + | 1.14890i | −0.0184953 | + | 0.0487681i | ||||
\(556\) | 50.3610 | + | 44.6160i | 2.13578 | + | 1.89214i | ||||
\(557\) | 10.0222 | − | 2.47026i | 0.424655 | − | 0.104668i | −0.0211957 | − | 0.999775i | \(-0.506747\pi\) |
0.445851 | + | 0.895107i | \(0.352901\pi\) | |||||||
\(558\) | 1.43409 | − | 11.8108i | 0.0607098 | − | 0.499990i | ||||
\(559\) | −32.1288 | −1.35890 | ||||||||
\(560\) | −12.3714 | + | 6.49303i | −0.522788 | + | 0.274381i | ||||
\(561\) | 0.0963812 | − | 0.0237558i | 0.00406922 | − | 0.00100297i | ||||
\(562\) | 0.861649 | + | 7.09632i | 0.0363465 | + | 0.299340i | ||||
\(563\) | −28.6882 | − | 7.07099i | −1.20906 | − | 0.298007i | −0.417261 | − | 0.908787i | \(-0.637010\pi\) |
−0.791800 | + | 0.610780i | \(0.790856\pi\) | |||||||
\(564\) | −9.74521 | + | 5.11468i | −0.410347 | + | 0.215367i | ||||
\(565\) | −0.448864 | + | 3.69672i | −0.0188838 | + | 0.155522i | ||||
\(566\) | 1.71182 | − | 2.48000i | 0.0719533 | − | 0.104242i | ||||
\(567\) | 8.75125 | − | 7.75293i | 0.367518 | − | 0.325592i | ||||
\(568\) | −46.1362 | − | 121.651i | −1.93583 | − | 5.10437i | ||||
\(569\) | −10.9118 | − | 9.66700i | −0.457446 | − | 0.405262i | 0.402682 | − | 0.915340i | \(-0.368078\pi\) |
−0.860128 | + | 0.510078i | \(0.829616\pi\) | |||||||
\(570\) | −0.641820 | − | 0.336853i | −0.0268829 | − | 0.0141092i | ||||
\(571\) | −2.39445 | − | 6.31364i | −0.100205 | − | 0.264218i | 0.875534 | − | 0.483156i | \(-0.160510\pi\) |
−0.975739 | + | 0.218939i | \(0.929741\pi\) | |||||||
\(572\) | 112.855 | − | 59.2310i | 4.71872 | − | 2.47657i | ||||
\(573\) | −1.08573 | + | 1.57295i | −0.0453570 | + | 0.0657110i | ||||
\(574\) | 33.6406 | 1.40413 | ||||||||
\(575\) | −3.50978 | − | 3.10939i | −0.146368 | − | 0.129671i | ||||
\(576\) | −17.3888 | + | 143.210i | −0.724534 | + | 5.96707i | ||||
\(577\) | −13.8364 | + | 20.0455i | −0.576016 | + | 0.834504i | −0.997376 | − | 0.0723897i | \(-0.976937\pi\) |
0.421360 | + | 0.906893i | \(0.361553\pi\) | |||||||
\(578\) | 27.0501 | + | 39.1889i | 1.12514 | + | 1.63004i | ||||
\(579\) | −1.07417 | + | 1.55620i | −0.0446409 | + | 0.0646735i | ||||
\(580\) | 0.618735 | + | 1.63147i | 0.0256916 | + | 0.0677431i | ||||
\(581\) | 13.9236 | + | 3.43185i | 0.577647 | + | 0.142377i | ||||
\(582\) | −0.455899 | + | 3.75466i | −0.0188976 | + | 0.155636i | ||||
\(583\) | 4.01016 | + | 33.0266i | 0.166084 | + | 1.36782i | ||||
\(584\) | −157.027 | + | 38.7036i | −6.49781 | + | 1.60157i | ||||
\(585\) | −5.50634 | − | 7.97732i | −0.227659 | − | 0.329821i | ||||
\(586\) | 47.2956 | − | 24.8226i | 1.95376 | − | 1.02541i | ||||
\(587\) | 15.9710 | − | 23.1380i | 0.659193 | − | 0.955006i | −0.340697 | − | 0.940173i | \(-0.610663\pi\) |
0.999890 | − | 0.0148331i | \(-0.00472169\pi\) | |||||||
\(588\) | 3.27332 | − | 4.74222i | 0.134989 | − | 0.195566i | ||||
\(589\) | 2.62979 | − | 2.32979i | 0.108359 | − | 0.0959974i | ||||
\(590\) | −9.74796 | −0.401317 | ||||||||
\(591\) | 0.746402 | − | 0.183972i | 0.0307029 | − | 0.00756758i | ||||
\(592\) | 163.024 | + | 144.427i | 6.70024 | + | 5.93590i | ||||
\(593\) | 0.0280832 | − | 0.0406856i | 0.00115324 | − | 0.00167076i | −0.822407 | − | 0.568900i | \(-0.807369\pi\) |
0.823560 | + | 0.567229i | \(0.191985\pi\) | |||||||
\(594\) | 4.15036 | − | 10.9436i | 0.170291 | − | 0.449021i | ||||
\(595\) | −0.0603236 | − | 0.0873938i | −0.00247303 | − | 0.00358280i | ||||
\(596\) | 35.9557 | + | 8.86229i | 1.47280 | + | 0.363014i | ||||
\(597\) | −2.48518 | − | 1.30432i | −0.101712 | − | 0.0533824i | ||||
\(598\) | 16.4969 | 0.674609 | ||||||||
\(599\) | −8.94234 | −0.365374 | −0.182687 | − | 0.983171i | \(-0.558480\pi\) | ||||
−0.182687 | + | 0.983171i | \(0.558480\pi\) | |||||||
\(600\) | −8.53112 | − | 4.47748i | −0.348282 | − | 0.182792i | ||||
\(601\) | 1.82008 | + | 14.9897i | 0.0742426 | + | 0.611443i | 0.981582 | + | 0.191043i | \(0.0611870\pi\) |
−0.907339 | + | 0.420400i | \(0.861890\pi\) | |||||||
\(602\) | −11.7167 | + | 16.9745i | −0.477536 | + | 0.691830i | ||||
\(603\) | −24.3198 | − | 21.5455i | −0.990378 | − | 0.877399i | ||||
\(604\) | −70.5353 | − | 17.3854i | −2.87004 | − | 0.707402i | ||||
\(605\) | −1.09642 | + | 0.971340i | −0.0445756 | + | 0.0394906i | ||||
\(606\) | 0.000334072 | 0 | 0.000880876i | 1.35708e−5 | 0 | 3.57832e-5i | ||||
\(607\) | 0.807930 | + | 6.65390i | 0.0327929 | + | 0.270073i | 0.999878 | + | 0.0156205i | \(0.00497235\pi\) |
−0.967085 | + | 0.254453i | \(0.918105\pi\) | |||||||
\(608\) | −56.3434 | + | 49.9159i | −2.28503 | + | 2.02436i | ||||
\(609\) | 0.102325 | + | 0.0906520i | 0.00414641 | + | 0.00367340i | ||||
\(610\) | −12.7337 | + | 6.68319i | −0.515574 | + | 0.270594i | ||||
\(611\) | −43.6261 | − | 38.6494i | −1.76492 | − | 1.56359i | ||||
\(612\) | −2.46585 | −0.0996761 | ||||||||
\(613\) | 30.0453 | − | 26.6178i | 1.21352 | − | 1.07508i | 0.218455 | − | 0.975847i | \(-0.429898\pi\) |
0.995064 | − | 0.0992364i | \(-0.0316400\pi\) | |||||||
\(614\) | 46.1702 | − | 40.9032i | 1.86328 | − | 1.65072i | ||||
\(615\) | −0.532587 | − | 0.771585i | −0.0214760 | − | 0.0311133i | ||||
\(616\) | 6.49907 | − | 53.5246i | 0.261855 | − | 2.15657i | ||||
\(617\) | −23.4866 | − | 20.8073i | −0.945533 | − | 0.837669i | 0.0413436 | − | 0.999145i | \(-0.486836\pi\) |
−0.986877 | + | 0.161476i | \(0.948375\pi\) | |||||||
\(618\) | −5.90173 | − | 5.22848i | −0.237403 | − | 0.210320i | ||||
\(619\) | −11.7156 | + | 30.8914i | −0.470889 | + | 1.24163i | 0.463729 | + | 0.885977i | \(0.346511\pi\) |
−0.934618 | + | 0.355654i | \(0.884258\pi\) | |||||||
\(620\) | −3.49111 | + | 3.09285i | −0.140206 | + | 0.124212i | ||||
\(621\) | 0.845566 | − | 0.749107i | 0.0339314 | − | 0.0300606i | ||||
\(622\) | 28.4403 | − | 74.9908i | 1.14035 | − | 3.00686i | ||||
\(623\) | −1.86050 | − | 15.3226i | −0.0745392 | − | 0.613886i | ||||
\(624\) | 20.2108 | − | 4.98150i | 0.809078 | − | 0.199420i | ||||
\(625\) | −15.3176 | + | 13.5702i | −0.612705 | + | 0.542809i | ||||
\(626\) | −14.8492 | − | 7.79346i | −0.593494 | − | 0.311489i | ||||
\(627\) | 1.52097 | − | 0.798268i | 0.0607418 | − | 0.0318797i | ||||
\(628\) | 0.849663 | + | 2.24038i | 0.0339053 | + | 0.0894008i | ||||
\(629\) | −0.940345 | + | 1.36233i | −0.0374940 | + | 0.0543195i | ||||
\(630\) | −6.22268 | −0.247918 | ||||||||
\(631\) | 4.48227 | − | 11.8188i | 0.178437 | − | 0.470499i | −0.815720 | − | 0.578447i | \(-0.803659\pi\) |
0.994156 | + | 0.107949i | \(0.0344282\pi\) | |||||||
\(632\) | −81.0145 | + | 71.7726i | −3.22259 | + | 2.85496i | ||||
\(633\) | −3.80454 | −0.151217 | ||||||||
\(634\) | 74.9950 | 2.97843 | ||||||||
\(635\) | −2.31118 | − | 3.34832i | −0.0917164 | − | 0.132874i | ||||
\(636\) | −1.20688 | + | 9.93953i | −0.0478558 | + | 0.394128i | ||||
\(637\) | 29.6284 | + | 7.30274i | 1.17392 | + | 0.289345i | ||||
\(638\) | −5.38393 | − | 1.32702i | −0.213152 | − | 0.0525372i | ||||
\(639\) | 4.28914 | − | 35.3242i | 0.169676 | − | 1.39741i | ||||
\(640\) | 31.2589 | − | 27.6929i | 1.23562 | − | 1.09466i | ||||
\(641\) | −6.19367 | + | 8.97308i | −0.244635 | + | 0.354415i | −0.925997 | − | 0.377532i | \(-0.876773\pi\) |
0.681361 | + | 0.731947i | \(0.261388\pi\) | |||||||
\(642\) | 2.98877 | + | 4.32999i | 0.117958 | + | 0.170891i | ||||
\(643\) | −14.2068 | − | 37.4602i | −0.560261 | − | 1.47729i | −0.853420 | − | 0.521224i | \(-0.825476\pi\) |
0.293159 | − | 0.956064i | \(-0.405294\pi\) | |||||||
\(644\) | 4.48615 | − | 6.49931i | 0.176779 | − | 0.256109i | ||||
\(645\) | 0.574825 | 0.0226337 | ||||||||
\(646\) | −0.730921 | − | 0.647540i | −0.0287577 | − | 0.0254771i | ||||
\(647\) | 29.4207 | + | 26.0645i | 1.15665 | + | 1.02470i | 0.999310 | + | 0.0371548i | \(0.0118295\pi\) |
0.157337 | + | 0.987545i | \(0.449709\pi\) | |||||||
\(648\) | −53.4269 | + | 77.4022i | −2.09881 | + | 3.04064i | ||||
\(649\) | 13.1226 | − | 19.0113i | 0.515106 | − | 0.746261i | ||||
\(650\) | 9.33293 | − | 76.8636i | 0.366068 | − | 3.01484i | ||||
\(651\) | −0.129579 | + | 0.341671i | −0.00507859 | + | 0.0133911i | ||||
\(652\) | −4.87507 | − | 40.1498i | −0.190923 | − | 1.57239i | ||||
\(653\) | 23.4527 | − | 5.78057i | 0.917775 | − | 0.226211i | 0.247987 | − | 0.968763i | \(-0.420231\pi\) |
0.669788 | + | 0.742552i | \(0.266385\pi\) | |||||||
\(654\) | −4.26624 | −0.166823 | ||||||||
\(655\) | 1.70310 | − | 2.46737i | 0.0665458 | − | 0.0964082i | ||||
\(656\) | −161.352 | + | 39.7698i | −6.29976 | + | 1.55275i | ||||
\(657\) | −42.9464 | − | 10.5853i | −1.67550 | − | 0.412974i | ||||
\(658\) | −36.3290 | + | 8.95431i | −1.41625 | + | 0.349075i | ||||
\(659\) | −23.9016 | + | 12.5445i | −0.931074 | + | 0.488665i | −0.860846 | − | 0.508866i | \(-0.830065\pi\) |
−0.0702281 | + | 0.997531i | \(0.522373\pi\) | |||||||
\(660\) | −2.01912 | + | 1.05972i | −0.0785943 | + | 0.0412495i | ||||
\(661\) | 11.4803 | + | 16.6320i | 0.446530 | + | 0.646911i | 0.980021 | − | 0.198895i | \(-0.0637354\pi\) |
−0.533491 | + | 0.845806i | \(0.679120\pi\) | |||||||
\(662\) | −19.1968 | + | 50.6178i | −0.746105 | + | 1.96732i | ||||
\(663\) | 0.0561010 | + | 0.147926i | 0.00217878 | + | 0.00574497i | ||||
\(664\) | −115.358 | −4.47675 | ||||||||
\(665\) | −1.37544 | − | 1.21854i | −0.0533374 | − | 0.0472528i | ||||
\(666\) | 34.3972 | + | 90.6979i | 1.33286 | + | 3.51447i | ||||
\(667\) | −0.400603 | − | 0.354903i | −0.0155114 | − | 0.0137419i | ||||
\(668\) | 4.54858 | + | 11.9936i | 0.175990 | + | 0.464047i | ||||
\(669\) | 0.845790 | − | 0.443905i | 0.0327001 | − | 0.0171624i | ||||
\(670\) | 2.05887 | + | 16.9563i | 0.0795410 | + | 0.655079i | ||||
\(671\) | 4.10787 | − | 33.8313i | 0.158582 | − | 1.30604i | ||||
\(672\) | 2.77623 | − | 7.32031i | 0.107095 | − | 0.282387i | ||||
\(673\) | −0.557785 | − | 0.494154i | −0.0215010 | − | 0.0190482i | 0.652304 | − | 0.757958i | \(-0.273803\pi\) |
−0.673805 | + | 0.738909i | \(0.735341\pi\) | |||||||
\(674\) | −8.94295 | − | 12.9561i | −0.344469 | − | 0.499050i | ||||
\(675\) | −3.01192 | − | 4.36352i | −0.115929 | − | 0.167952i | ||||
\(676\) | 72.0840 | + | 104.432i | 2.77246 | + | 4.01661i | ||||
\(677\) | −6.57711 | + | 9.52858i | −0.252779 | + | 0.366213i | −0.928745 | − | 0.370719i | \(-0.879111\pi\) |
0.675966 | + | 0.736933i | \(0.263727\pi\) | |||||||
\(678\) | −2.02321 | − | 2.93113i | −0.0777010 | − | 0.112569i | ||||
\(679\) | −3.40010 | + | 8.96532i | −0.130484 | + | 0.344058i | ||||
\(680\) | 0.639406 | + | 0.566465i | 0.0245201 | + | 0.0217229i | ||||
\(681\) | −1.39508 | − | 0.343857i | −0.0534597 | − | 0.0131766i | ||||
\(682\) | −1.78662 | − | 14.7141i | −0.0684131 | − | 0.563432i | ||||
\(683\) | 17.7842 | + | 9.33388i | 0.680494 | + | 0.357151i | 0.769291 | − | 0.638899i | \(-0.220610\pi\) |
−0.0887966 | + | 0.996050i | \(0.528302\pi\) | |||||||
\(684\) | −41.4300 | + | 10.2116i | −1.58412 | + | 0.390450i | ||||
\(685\) | 1.57765 | − | 0.828013i | 0.0602788 | − | 0.0316367i | ||||
\(686\) | 34.4592 | − | 30.5282i | 1.31566 | − | 1.16557i | ||||
\(687\) | 2.35423 | + | 3.41069i | 0.0898194 | + | 0.130126i | ||||
\(688\) | 36.1302 | − | 95.2674i | 1.37745 | − | 3.63204i | ||||
\(689\) | −51.4828 | + | 12.6894i | −1.96134 | + | 0.483426i | ||||
\(690\) | −0.295151 | −0.0112362 | ||||||||
\(691\) | 17.4969 | + | 25.3486i | 0.665613 | + | 0.964306i | 0.999763 | + | 0.0217865i | \(0.00693540\pi\) |
−0.334150 | + | 0.942520i | \(0.608449\pi\) | |||||||
\(692\) | 49.9277 | + | 12.3061i | 1.89796 | + | 0.467806i | ||||
\(693\) | 8.37690 | − | 12.1360i | 0.318212 | − | 0.461010i | ||||
\(694\) | −0.450648 | + | 3.71142i | −0.0171064 | + | 0.140884i | ||||
\(695\) | 2.26051 | − | 5.96049i | 0.0857462 | − | 0.226094i | ||||
\(696\) | −0.973733 | − | 0.511055i | −0.0369093 | − | 0.0193715i | ||||
\(697\) | −0.447882 | − | 1.18097i | −0.0169647 | − | 0.0447323i | ||||
\(698\) | −9.88915 | − | 26.0755i | −0.374310 | − | 0.986974i | ||||
\(699\) | −0.505368 | − | 4.16208i | −0.0191148 | − | 0.157424i | ||||
\(700\) | −27.7441 | − | 24.5791i | −1.04863 | − | 0.929003i | ||||
\(701\) | −2.64846 | − | 21.8121i | −0.100031 | − | 0.823830i | −0.953230 | − | 0.302245i | \(-0.902264\pi\) |
0.853199 | − | 0.521585i | \(-0.174659\pi\) | |||||||
\(702\) | 18.1117 | + | 4.46414i | 0.683584 | + | 0.168488i | ||||
\(703\) | −10.1576 | + | 26.7833i | −0.383099 | + | 1.01015i | ||||
\(704\) | 21.6633 | + | 178.414i | 0.816467 | + | 6.72421i | ||||
\(705\) | 0.780527 | + | 0.691487i | 0.0293963 | + | 0.0260429i | ||||
\(706\) | −40.3044 | + | 58.3910i | −1.51688 | + | 2.19757i | ||||
\(707\) | 0.000287881 | 0.00237091i | 1.08269e−5 | 8.91673e-5i | ||||||
\(708\) | 5.20381 | − | 4.61017i | 0.195571 | − | 0.173261i | ||||
\(709\) | 3.89936 | − | 2.04654i | 0.146444 | − | 0.0768596i | −0.389910 | − | 0.920853i | \(-0.627494\pi\) |
0.536353 | + | 0.843994i | \(0.319801\pi\) | |||||||
\(710\) | −14.0022 | + | 12.4049i | −0.525493 | + | 0.465546i | ||||
\(711\) | −28.7417 | + | 7.08418i | −1.07790 | + | 0.265678i | ||||
\(712\) | 44.0295 | + | 116.096i | 1.65008 | + | 4.35089i | ||||
\(713\) | 0.507301 | − | 1.33764i | 0.0189986 | − | 0.0500951i | ||||
\(714\) | 0.0986123 | + | 0.0243057i | 0.00369047 | + | 0.000909620i | ||||
\(715\) | −9.03896 | − | 8.00782i | −0.338038 | − | 0.299476i | ||||
\(716\) | 7.04744 | − | 58.0409i | 0.263375 | − | 2.16909i | ||||
\(717\) | 3.80662 | + | 0.938249i | 0.142161 | + | 0.0350395i | ||||
\(718\) | 3.53168 | − | 29.0860i | 0.131801 | − | 1.08548i | ||||
\(719\) | −3.22213 | + | 26.5366i | −0.120165 | + | 0.989650i | 0.800510 | + | 0.599320i | \(0.204562\pi\) |
−0.920675 | + | 0.390330i | \(0.872361\pi\) | |||||||
\(720\) | 29.8462 | − | 7.35644i | 1.11230 | − | 0.274158i | ||||
\(721\) | −11.3547 | − | 16.4502i | −0.422873 | − | 0.612637i | ||||
\(722\) | 32.2178 | + | 16.9092i | 1.19902 | + | 0.629296i | ||||
\(723\) | 0.562848 | − | 4.63547i | 0.0209325 | − | 0.172395i | ||||
\(724\) | 1.33867 | − | 3.52979i | 0.0497514 | − | 0.131184i | ||||
\(725\) | −1.88022 | + | 1.66573i | −0.0698298 | + | 0.0618638i | ||||
\(726\) | 0.168867 | − | 1.39075i | 0.00626725 | − | 0.0516154i | ||||
\(727\) | 14.4599 | + | 7.58916i | 0.536290 | + | 0.281467i | 0.711046 | − | 0.703145i | \(-0.248222\pi\) |
−0.174757 | + | 0.984612i | \(0.555914\pi\) | |||||||
\(728\) | 85.9326 | 3.18488 | ||||||||
\(729\) | −22.2073 | + | 11.6553i | −0.822494 | + | 0.431678i | ||||
\(730\) | 13.2093 | + | 19.1370i | 0.488898 | + | 0.708290i | ||||
\(731\) | 0.751890 | + | 0.185324i | 0.0278097 | + | 0.00685447i | ||||
\(732\) | 3.63700 | − | 9.58999i | 0.134427 | − | 0.354456i | ||||
\(733\) | −4.86633 | − | 7.05009i | −0.179742 | − | 0.260401i | 0.722748 | − | 0.691111i | \(-0.242879\pi\) |
−0.902490 | + | 0.430710i | \(0.858263\pi\) | |||||||
\(734\) | −7.46285 | − | 1.83943i | −0.275459 | − | 0.0678945i | ||||
\(735\) | −0.530090 | − | 0.130655i | −0.0195527 | − | 0.00481930i | ||||
\(736\) | −10.8689 | + | 28.6590i | −0.400634 | + | 1.05639i | ||||
\(737\) | −35.8413 | − | 18.8110i | −1.32023 | − | 0.692911i | ||||
\(738\) | −71.8622 | − | 17.7124i | −2.64528 | − | 0.652004i | ||||
\(739\) | −2.03141 | − | 16.7302i | −0.0747266 | − | 0.615429i | −0.981176 | − | 0.193115i | \(-0.938141\pi\) |
0.906450 | − | 0.422314i | \(-0.138782\pi\) | |||||||
\(740\) | 13.4844 | − | 35.5554i | 0.495696 | − | 1.30704i | ||||
\(741\) | 1.55517 | + | 2.25306i | 0.0571307 | + | 0.0827681i | ||||
\(742\) | −12.0705 | + | 31.8273i | −0.443122 | + | 1.16842i | ||||
\(743\) | −0.559814 | + | 0.811031i | −0.0205376 | + | 0.0297538i | −0.833118 | − | 0.553095i | \(-0.813447\pi\) |
0.812581 | + | 0.582849i | \(0.198062\pi\) | |||||||
\(744\) | 0.354322 | − | 2.91810i | 0.0129901 | − | 0.106983i | ||||
\(745\) | −0.422922 | − | 3.48307i | −0.0154947 | − | 0.127610i | ||||
\(746\) | 29.3878 | − | 15.4239i | 1.07596 | − | 0.564709i | ||||
\(747\) | −27.9362 | − | 14.6621i | −1.02213 | − | 0.536457i | ||||
\(748\) | −2.98274 | + | 0.735179i | −0.109060 | + | 0.0268808i | ||||
\(749\) | 4.72975 | + | 12.4713i | 0.172821 | + | 0.455692i | ||||
\(750\) | −0.344946 | + | 2.84088i | −0.0125956 | + | 0.103734i | ||||
\(751\) | −37.5905 | − | 33.3023i | −1.37170 | − | 1.21522i | −0.951448 | − | 0.307811i | \(-0.900404\pi\) |
−0.420251 | − | 0.907408i | \(-0.638058\pi\) | |||||||
\(752\) | 163.662 | − | 85.8962i | 5.96812 | − | 3.13231i | ||||
\(753\) | −2.04490 | − | 0.504023i | −0.0745204 | − | 0.0183676i | ||||
\(754\) | 1.06525 | − | 8.77313i | 0.0387942 | − | 0.319499i | ||||
\(755\) | 0.829657 | + | 6.83284i | 0.0301943 | + | 0.248672i | ||||
\(756\) | 6.68403 | − | 5.92153i | 0.243096 | − | 0.215364i | ||||
\(757\) | −0.608413 | + | 5.01073i | −0.0221131 | + | 0.182118i | −0.999580 | − | 0.0289695i | \(-0.990777\pi\) |
0.977467 | + | 0.211088i | \(0.0677005\pi\) | |||||||
\(758\) | 6.81191 | − | 1.67898i | 0.247420 | − | 0.0609835i | ||||
\(759\) | 0.397329 | − | 0.575630i | 0.0144221 | − | 0.0208940i | ||||
\(760\) | 13.0888 | + | 6.86955i | 0.474782 | + | 0.249185i | ||||
\(761\) | −31.7963 | − | 28.1691i | −1.15262 | − | 1.02113i | −0.999458 | − | 0.0329260i | \(-0.989517\pi\) |
−0.153157 | − | 0.988202i | \(-0.548944\pi\) | |||||||
\(762\) | 3.77814 | + | 0.931228i | 0.136868 | + | 0.0337348i | ||||
\(763\) | −10.5011 | − | 2.58830i | −0.380167 | − | 0.0937026i | ||||
\(764\) | 33.6004 | − | 48.6786i | 1.21562 | − | 1.76113i | ||||
\(765\) | 0.0828471 | + | 0.218450i | 0.00299534 | + | 0.00789807i | ||||
\(766\) | 38.5043 | + | 9.49045i | 1.39122 | + | 0.342904i | ||||
\(767\) | 32.5998 | + | 17.1097i | 1.17711 | + | 0.617795i | ||||
\(768\) | −2.59099 | + | 21.3387i | −0.0934943 | + | 0.769995i | ||||
\(769\) | −0.576308 | − | 4.74633i | −0.0207822 | − | 0.171157i | 0.978622 | − | 0.205666i | \(-0.0659362\pi\) |
−0.999404 | + | 0.0345095i | \(0.989013\pi\) | |||||||
\(770\) | −7.52707 | + | 1.85526i | −0.271257 | + | 0.0668588i | ||||
\(771\) | 0.0704774 | 0.00253818 | ||||||||
\(772\) | 33.2426 | − | 48.1602i | 1.19643 | − | 1.73332i | ||||
\(773\) | 40.2453 | + | 21.1223i | 1.44752 | + | 0.759718i | 0.991482 | − | 0.130242i | \(-0.0415754\pi\) |
0.456039 | + | 0.889960i | \(0.349268\pi\) | |||||||
\(774\) | 33.9663 | − | 30.0915i | 1.22089 | − | 1.08162i | ||||
\(775\) | −5.94544 | − | 3.12041i | −0.213567 | − | 0.112088i | ||||
\(776\) | 9.29728 | − | 76.5700i | 0.333753 | − | 2.74870i | ||||
\(777\) | −0.359111 | − | 2.95755i | −0.0128830 | − | 0.106101i | ||||
\(778\) | −37.4086 | − | 33.1412i | −1.34116 | − | 1.18817i | ||||
\(779\) | −12.4157 | − | 17.9873i | −0.444839 | − | 0.644460i | ||||
\(780\) | −2.06453 | − | 2.99098i | −0.0739219 | − | 0.107094i | ||||
\(781\) | −5.34349 | − | 44.0076i | −0.191205 | − | 1.57472i | ||||
\(782\) | −0.386068 | − | 0.0951571i | −0.0138057 | − | 0.00340281i | ||||
\(783\) | −0.343778 | − | 0.498048i | −0.0122856 | − | 0.0177988i | ||||
\(784\) | −54.9723 | + | 79.6411i | −1.96330 | + | 2.84433i | ||||
\(785\) | 0.169928 | − | 0.150543i | 0.00606501 | − | 0.00537313i | ||||
\(786\) | 0.345630 | + | 2.84652i | 0.0123282 | + | 0.101532i | ||||
\(787\) | 48.4734 | + | 11.9476i | 1.72789 | + | 0.425887i | 0.973157 | − | 0.230143i | \(-0.0739195\pi\) |
0.754735 | + | 0.656030i | \(0.227766\pi\) | |||||||
\(788\) | −23.0991 | + | 5.69342i | −0.822872 | + | 0.202820i | ||||
\(789\) | −0.274530 | − | 0.723875i | −0.00977352 | − | 0.0257706i | ||||
\(790\) | 13.7795 | + | 7.23203i | 0.490252 | + | 0.257304i | ||||
\(791\) | −3.20174 | − | 8.44230i | −0.113841 | − | 0.300174i | ||||
\(792\) | −42.0649 | + | 110.916i | −1.49471 | + | 3.94123i | ||||
\(793\) | 54.3155 | 1.92880 | ||||||||
\(794\) | −6.04471 | + | 8.75728i | −0.214519 | + | 0.310784i | ||||
\(795\) | 0.921092 | − | 0.227029i | 0.0326678 | − | 0.00805188i | ||||
\(796\) | 76.9097 | + | 40.3653i | 2.72599 | + | 1.43071i | ||||
\(797\) | 30.2265 | − | 7.45016i | 1.07068 | − | 0.263898i | 0.335685 | − | 0.941974i | \(-0.391032\pi\) |
0.734992 | + | 0.678076i | \(0.237186\pi\) | |||||||
\(798\) | 1.75749 | 0.0622145 | ||||||||
\(799\) | 0.798020 | + | 1.15613i | 0.0282319 | + | 0.0409010i | ||||
\(800\) | 127.381 | + | 66.8548i | 4.50361 | + | 2.36368i | ||||
\(801\) | −4.09329 | + | 33.7113i | −0.144629 | + | 1.19113i | ||||
\(802\) | 27.4374 | + | 39.7499i | 0.968847 | + | 1.40362i | ||||
\(803\) | −55.1048 | −1.94461 | ||||||||
\(804\) | −9.11836 | − | 8.07816i | −0.321580 | − | 0.284895i | ||||
\(805\) | −0.726499 | − | 0.179066i | −0.0256057 | − | 0.00631125i | ||||
\(806\) | 22.9367 | − | 5.65340i | 0.807912 | − | 0.199132i | ||||
\(807\) | 2.16438 | + | 3.13565i | 0.0761898 | + | 0.110380i | ||||
\(808\) | −0.00681284 | − | 0.0179640i | −0.000239675 | − | 0.000631970i | ||||
\(809\) | 1.89535 | − | 15.6096i | 0.0666371 | − | 0.548806i | −0.920712 | − | 0.390243i | \(-0.872391\pi\) |
0.987349 | − | 0.158563i | \(-0.0506860\pi\) | |||||||
\(810\) | 13.1297 | + | 3.23619i | 0.461332 | + | 0.113708i | ||||
\(811\) | 51.6236 | − | 12.7241i | 1.81275 | − | 0.446803i | 0.820562 | − | 0.571558i | \(-0.193661\pi\) |
0.992188 | + | 0.124755i | \(0.0398144\pi\) | |||||||
\(812\) | −3.16668 | − | 2.80543i | −0.111129 | − | 0.0984514i | ||||
\(813\) | 1.76759 | 0.0619922 | ||||||||
\(814\) | 68.6485 | + | 99.4545i | 2.40613 | + | 3.48588i | ||||
\(815\) | −3.39308 | + | 1.78083i | −0.118855 | + | 0.0623797i | ||||
\(816\) | −0.501714 | −0.0175635 | ||||||||
\(817\) | 13.4004 | 0.468819 | ||||||||
\(818\) | −61.7988 | − | 89.5310i | −2.16074 | − | 3.13038i | ||||
\(819\) | 20.8103 | + | 10.9221i | 0.727172 | + | 0.381649i | ||||
\(820\) | 16.4821 | + | 23.8785i | 0.575581 | + | 0.833873i | ||||
\(821\) | 22.5314 | + | 11.8254i | 0.786351 | + | 0.412709i | 0.809571 | − | 0.587021i | \(-0.199700\pi\) |
−0.0232203 | + | 0.999730i | \(0.507392\pi\) | |||||||
\(822\) | −0.604277 | + | 1.59335i | −0.0210766 | + | 0.0555744i | ||||
\(823\) | −3.39876 | + | 0.837718i | −0.118473 | + | 0.0292010i | −0.298106 | − | 0.954533i | \(-0.596355\pi\) |
0.179633 | + | 0.983734i | \(0.442509\pi\) | |||||||
\(824\) | 120.356 | + | 106.626i | 4.19279 | + | 3.71449i | ||||
\(825\) | −2.45723 | − | 2.17692i | −0.0855498 | − | 0.0757905i | ||||
\(826\) | 20.9280 | − | 10.9838i | 0.728177 | − | 0.382177i | ||||
\(827\) | −17.2539 | + | 15.2856i | −0.599977 | + | 0.531533i | −0.907524 | − | 0.419999i | \(-0.862030\pi\) |
0.307547 | + | 0.951533i | \(0.400492\pi\) | |||||||
\(828\) | −13.0052 | + | 11.5216i | −0.451963 | + | 0.400404i | ||||
\(829\) | −17.0213 | − | 8.93348i | −0.591175 | − | 0.310273i | 0.142477 | − | 0.989798i | \(-0.454493\pi\) |
−0.733652 | + | 0.679525i | \(0.762186\pi\) | |||||||
\(830\) | 5.88156 | + | 15.5084i | 0.204152 | + | 0.538305i | ||||
\(831\) | −1.45145 | + | 0.761779i | −0.0503502 | + | 0.0264258i | ||||
\(832\) | −278.116 | + | 68.5494i | −9.64193 | + | 2.37652i | ||||
\(833\) | −0.651252 | − | 0.341803i | −0.0225645 | − | 0.0118428i | ||||
\(834\) | 2.16200 | + | 5.70073i | 0.0748640 | + | 0.197400i | ||||
\(835\) | 0.909694 | − | 0.805918i | 0.0314812 | − | 0.0278899i | ||||
\(836\) | −47.0700 | + | 24.7042i | −1.62795 | + | 0.854414i | ||||
\(837\) | 0.918931 | − | 1.33130i | 0.0317629 | − | 0.0460165i | ||||
\(838\) | 65.2288 | − | 34.2347i | 2.25329 | − | 1.18262i | ||||
\(839\) | −49.1605 | −1.69721 | −0.848604 | − | 0.529029i | \(-0.822556\pi\) | ||||
−0.848604 | + | 0.529029i | \(0.822556\pi\) | |||||||
\(840\) | −1.53744 | −0.0530469 | ||||||||
\(841\) | 21.4922 | − | 19.0404i | 0.741111 | − | 0.656567i | ||||
\(842\) | −59.5569 | − | 14.6795i | −2.05247 | − | 0.505887i | ||||
\(843\) | −0.171290 | + | 0.451654i | −0.00589953 | + | 0.0155558i | ||||
\(844\) | 117.740 | 4.05279 | ||||||||
\(845\) | 6.82975 | − | 9.89460i | 0.234951 | − | 0.340385i | ||||
\(846\) | 82.3198 | 2.83021 | ||||||||
\(847\) | 1.25941 | − | 3.32080i | 0.0432740 | − | 0.114104i | ||||
\(848\) | 20.2684 | − | 166.925i | 0.696019 | − | 5.73223i | ||||
\(849\) | 0.180303 | − | 0.0946304i | 0.00618799 | − | 0.00324771i | ||||
\(850\) | −0.661776 | + | 1.74496i | −0.0226987 | + | 0.0598516i | ||||
\(851\) | 1.40592 | + | 11.5788i | 0.0481944 | + | 0.396917i | ||||
\(852\) | 1.60815 | − | 13.2443i | 0.0550944 | − | 0.453743i | ||||
\(853\) | −0.513583 | − | 4.22973i | −0.0175847 | − | 0.144823i | 0.981272 | − | 0.192627i | \(-0.0617008\pi\) |
−0.998857 | + | 0.0478039i | \(0.984778\pi\) | |||||||
\(854\) | 19.8077 | − | 28.6964i | 0.677805 | − | 0.981970i | ||||
\(855\) | 2.29660 | + | 3.32720i | 0.0785421 | + | 0.113788i | ||||
\(856\) | −60.9510 | − | 88.3027i | −2.08326 | − | 3.01813i | ||||
\(857\) | 3.87371 | + | 2.03308i | 0.132323 | + | 0.0694486i | 0.529586 | − | 0.848256i | \(-0.322347\pi\) |
−0.397262 | + | 0.917705i | \(0.630040\pi\) | |||||||
\(858\) | 11.5497 | 0.394299 | ||||||||
\(859\) | 29.2586 | − | 1.71274i | 0.998291 | − | 0.0584381i | ||||
\(860\) | −17.7893 | −0.606609 | ||||||||
\(861\) | 2.01283 | + | 1.05641i | 0.0685969 | + | 0.0360024i | ||||
\(862\) | −5.80207 | − | 8.40575i | −0.197619 | − | 0.286301i | ||||
\(863\) | −15.3600 | − | 22.2529i | −0.522862 | − | 0.757496i | 0.469221 | − | 0.883081i | \(-0.344535\pi\) |
−0.992083 | + | 0.125585i | \(0.959919\pi\) | |||||||
\(864\) | −19.6881 | + | 28.5232i | −0.669804 | + | 0.970378i | ||||
\(865\) | −0.587264 | − | 4.83655i | −0.0199676 | − | 0.164448i | ||||
\(866\) | −3.12938 | + | 25.7728i | −0.106341 | + | 0.875795i | ||||
\(867\) | 0.387852 | + | 3.19425i | 0.0131722 | + | 0.108482i | ||||
\(868\) | 4.01011 | − | 10.5738i | 0.136112 | − | 0.358898i | ||||
\(869\) | −32.6543 | + | 17.1383i | −1.10772 | + | 0.581378i | ||||
\(870\) | −0.0190587 | + | 0.156963i | −0.000646151 | + | 0.00532153i | ||||
\(871\) | 22.8764 | − | 60.3202i | 0.775138 | − | 2.04387i | ||||
\(872\) | 87.0027 | 2.94628 | ||||||||
\(873\) | 11.9836 | − | 17.3613i | 0.405584 | − | 0.587590i | ||||
\(874\) | −6.88058 | −0.232739 | ||||||||
\(875\) | −2.57261 | + | 6.78341i | −0.0869701 | + | 0.229321i | ||||
\(876\) | −16.1022 | − | 3.96883i | −0.544042 | − | 0.134094i | ||||
\(877\) | −24.1161 | + | 21.3650i | −0.814344 | + | 0.721446i | −0.963599 | − | 0.267353i | \(-0.913851\pi\) |
0.149254 | + | 0.988799i | \(0.452313\pi\) | |||||||
\(878\) | 12.7868 | 0.431534 | ||||||||
\(879\) | 3.60935 | 0.121740 | ||||||||
\(880\) | 33.9093 | − | 17.7970i | 1.14308 | − | 0.599936i | ||||
\(881\) | −16.5613 | + | 23.9932i | −0.557964 | + | 0.808351i | −0.995881 | − | 0.0906646i | \(-0.971101\pi\) |
0.437917 | + | 0.899015i | \(0.355716\pi\) | |||||||
\(882\) | −38.1626 | + | 20.0293i | −1.28500 | + | 0.674420i | ||||
\(883\) | −11.1679 | + | 9.89386i | −0.375829 | + | 0.332955i | −0.829800 | − | 0.558061i | \(-0.811545\pi\) |
0.453971 | + | 0.891016i | \(0.350007\pi\) | |||||||
\(884\) | −1.73617 | − | 4.57791i | −0.0583938 | − | 0.153972i | ||||
\(885\) | −0.583252 | − | 0.306114i | −0.0196058 | − | 0.0102899i | ||||
\(886\) | 74.7614 | − | 18.4270i | 2.51166 | − | 0.619069i | ||||
\(887\) | 33.6012 | − | 17.6353i | 1.12822 | − | 0.592134i | 0.205902 | − | 0.978573i | \(-0.433987\pi\) |
0.922315 | + | 0.386438i | \(0.126295\pi\) | |||||||
\(888\) | 8.49854 | + | 22.4088i | 0.285192 | + | 0.751991i | ||||
\(889\) | 8.73473 | + | 4.58434i | 0.292953 | + | 0.153754i | ||||
\(890\) | 13.3628 | − | 11.8384i | 0.447923 | − | 0.396825i | ||||
\(891\) | −23.9866 | + | 21.2503i | −0.803581 | + | 0.711911i | ||||
\(892\) | −26.1749 | + | 13.7377i | −0.876401 | + | 0.459971i | ||||
\(893\) | 18.1957 | + | 16.1200i | 0.608896 | + | 0.539435i | ||||
\(894\) | 2.51181 | + | 2.22527i | 0.0840076 | + | 0.0744243i | ||||
\(895\) | −5.37862 | + | 1.32571i | −0.179788 | + | 0.0443137i | ||||
\(896\) | −35.9059 | + | 94.6762i | −1.19953 | + | 3.16291i | ||||
\(897\) | 0.987064 | + | 0.518051i | 0.0329571 | + | 0.0172972i | ||||
\(898\) | −24.0970 | − | 34.9106i | −0.804128 | − | 1.16498i | ||||
\(899\) | −0.678607 | − | 0.356160i | −0.0226328 | − | 0.0118786i | ||||
\(900\) | 46.3248 | + | 67.1131i | 1.54416 | + | 2.23710i | ||||
\(901\) | 1.27801 | 0.0425768 | ||||||||
\(902\) | −92.2067 | −3.07015 | ||||||||
\(903\) | −1.23410 | + | 0.647703i | −0.0410681 | + | 0.0215542i | ||||
\(904\) | 41.2600 | + | 59.7754i | 1.37229 | + | 1.98810i | ||||
\(905\) | −0.357681 | −0.0118897 | ||||||||
\(906\) | −4.92749 | − | 4.36538i | −0.163705 | − | 0.145030i | ||||
\(907\) | −38.0668 | + | 9.38263i | −1.26399 | + | 0.311545i | −0.813672 | − | 0.581324i | \(-0.802535\pi\) |
−0.450316 | + | 0.892869i | \(0.648689\pi\) | |||||||
\(908\) | 43.1740 | + | 10.6414i | 1.43278 | + | 0.353149i | ||||
\(909\) | 0.000633368 | − | 0.00521626i | 2.10075e−5 | − | 0.000173012i | ||||
\(910\) | −4.38131 | − | 11.5526i | −0.145239 | − | 0.382964i | ||||
\(911\) | −1.67044 | − | 2.42005i | −0.0553442 | − | 0.0801799i | 0.794335 | − | 0.607480i | \(-0.207820\pi\) |
−0.849679 | + | 0.527300i | \(0.823204\pi\) | |||||||
\(912\) | −8.42956 | + | 2.07770i | −0.279131 | + | 0.0687995i | ||||
\(913\) | −38.1636 | − | 9.40648i | −1.26303 | − | 0.311309i | ||||
\(914\) | −66.9168 | − | 59.2831i | −2.21341 | − | 1.96091i | ||||
\(915\) | −0.971773 | −0.0321258 | ||||||||
\(916\) | −72.8570 | − | 105.552i | −2.40726 | − | 3.48752i | ||||
\(917\) | −0.876211 | + | 7.21625i | −0.0289351 | + | 0.238302i | ||||
\(918\) | −0.398108 | − | 0.208943i | −0.0131395 | − | 0.00689616i | ||||
\(919\) | −18.6779 | − | 27.0597i | −0.616128 | − | 0.892616i | 0.383392 | − | 0.923586i | \(-0.374756\pi\) |
−0.999520 | + | 0.0309696i | \(0.990140\pi\) | |||||||
\(920\) | 6.01910 | 0.198444 | ||||||||
\(921\) | 4.04699 | − | 0.997493i | 0.133353 | − | 0.0328685i | ||||
\(922\) | −51.9055 | − | 27.2421i | −1.70942 | − | 0.897171i | ||||
\(923\) | 68.6002 | − | 16.9084i | 2.25800 | − | 0.556548i | ||||
\(924\) | 3.14080 | − | 4.55024i | 0.103325 | − | 0.149692i | ||||
\(925\) | 54.7442 | 1.79998 | ||||||||
\(926\) | 16.5386 | − | 43.6088i | 0.543494 | − | 1.43307i | ||||
\(927\) | 15.5944 | + | 41.1189i | 0.512186 | + | 1.35052i | ||||
\(928\) | 14.5392 | + | 7.63074i | 0.477271 | + | 0.250491i | ||||
\(929\) | −18.0080 | − | 47.4831i | −0.590822 | − | 1.55787i | −0.812630 | − | 0.582780i | \(-0.801965\pi\) |
0.221807 | − | 0.975091i | \(-0.428804\pi\) | |||||||
\(930\) | −0.410367 | + | 0.101146i | −0.0134565 | + | 0.00331672i | ||||
\(931\) | −12.3575 | − | 3.04585i | −0.405001 | − | 0.0998237i | ||||
\(932\) | 15.6398 | + | 128.805i | 0.512298 | + | 4.21915i | ||||
\(933\) | 4.05660 | − | 3.59383i | 0.132807 | − | 0.117657i | ||||
\(934\) | 25.8513 | − | 37.4521i | 0.845880 | − | 1.22547i | ||||
\(935\) | 0.165343 | + | 0.239541i | 0.00540729 | + | 0.00783382i | ||||
\(936\) | −183.567 | − | 45.2452i | −6.00008 | − | 1.47889i | ||||
\(937\) | −1.55161 | − | 12.7787i | −0.0506890 | − | 0.417462i | −0.995861 | − | 0.0908888i | \(-0.971029\pi\) |
0.945172 | − | 0.326573i | \(-0.105894\pi\) | |||||||
\(938\) | −23.5263 | − | 34.0837i | −0.768161 | − | 1.11287i | ||||
\(939\) | −0.643739 | − | 0.932616i | −0.0210076 | − | 0.0304348i | ||||
\(940\) | −24.1552 | − | 21.3996i | −0.787856 | − | 0.697979i | ||||
\(941\) | 3.44344 | + | 28.3593i | 0.112253 | + | 0.924486i | 0.934649 | + | 0.355571i | \(0.115714\pi\) |
−0.822396 | + | 0.568915i | \(0.807363\pi\) | |||||||
\(942\) | −0.0261719 | + | 0.215545i | −0.000852728 | + | 0.00702284i | ||||
\(943\) | −7.88022 | − | 4.13586i | −0.256615 | − | 0.134682i | ||||
\(944\) | −87.3931 | + | 77.4235i | −2.84440 | + | 2.51992i | ||||
\(945\) | −0.749157 | − | 0.393188i | −0.0243701 | − | 0.0127904i | ||||
\(946\) | 32.1146 | − | 46.5261i | 1.04414 | − | 1.51269i | ||||
\(947\) | 10.3717 | 0.337036 | 0.168518 | − | 0.985699i | \(-0.446102\pi\) | ||||
0.168518 | + | 0.985699i | \(0.446102\pi\) | |||||||
\(948\) | −10.7763 | + | 2.65611i | −0.349997 | + | 0.0862666i | ||||
\(949\) | −10.5861 | − | 87.1841i | −0.343638 | − | 2.83012i | ||||
\(950\) | −3.89261 | + | 32.0585i | −0.126293 | + | 1.04011i | ||||
\(951\) | 4.48720 | + | 2.35506i | 0.145507 | + | 0.0763681i | ||||
\(952\) | −2.01103 | − | 0.495674i | −0.0651779 | − | 0.0160649i | ||||
\(953\) | 10.5433 | + | 27.8005i | 0.341532 | + | 0.900546i | 0.990223 | + | 0.139494i | \(0.0445476\pi\) |
−0.648691 | + | 0.761052i | \(0.724683\pi\) | |||||||
\(954\) | 42.5424 | − | 61.6333i | 1.37736 | − | 1.99545i | ||||
\(955\) | −5.44134 | − | 1.34117i | −0.176078 | − | 0.0433992i | ||||
\(956\) | −117.805 | − | 29.0363i | −3.81008 | − | 0.939100i | ||||
\(957\) | −0.280466 | − | 0.248471i | −0.00906617 | − | 0.00803193i | ||||
\(958\) | −89.1282 | − | 46.7781i | −2.87960 | − | 1.51133i | ||||
\(959\) | −2.45407 | + | 3.55533i | −0.0792461 | + | 0.114808i | ||||
\(960\) | 4.97584 | − | 1.22644i | 0.160595 | − | 0.0395830i | ||||
\(961\) | −3.48971 | + | 28.7403i | −0.112571 | + | 0.927107i | ||||
\(962\) | −144.164 | + | 127.718i | −4.64804 | + | 4.11781i | ||||
\(963\) | −3.53717 | − | 29.1312i | −0.113984 | − | 0.938740i | ||||
\(964\) | −17.4186 | + | 143.455i | −0.561016 | + | 4.62038i | ||||
\(965\) | −5.38340 | − | 1.32689i | −0.173298 | − | 0.0427140i | ||||
\(966\) | 0.633662 | − | 0.332571i | 0.0203877 | − | 0.0107003i | ||||
\(967\) | −21.6300 | − | 19.1625i | −0.695574 | − | 0.616225i | 0.239409 | − | 0.970919i | \(-0.423046\pi\) |
−0.934982 | + | 0.354694i | \(0.884585\pi\) | |||||||
\(968\) | −3.44376 | + | 28.3619i | −0.110687 | + | 0.911586i | ||||
\(969\) | −0.0233987 | − | 0.0616974i | −0.000751676 | − | 0.00198201i | ||||
\(970\) | −10.7679 | + | 2.65405i | −0.345736 | + | 0.0852164i | ||||
\(971\) | −11.9494 | − | 6.27154i | −0.383475 | − | 0.201263i | 0.261959 | − | 0.965079i | \(-0.415631\pi\) |
−0.645434 | + | 0.763816i | \(0.723324\pi\) | |||||||
\(972\) | −26.1465 | + | 13.7227i | −0.838648 | + | 0.440156i | ||||
\(973\) | 1.86307 | + | 15.3437i | 0.0597271 | + | 0.491897i | ||||
\(974\) | 10.2729 | − | 84.6052i | 0.329166 | − | 2.71093i | ||||
\(975\) | 2.97216 | − | 4.30592i | 0.0951853 | − | 0.137900i | ||||
\(976\) | −61.0800 | + | 161.055i | −1.95512 | + | 5.15524i | ||||
\(977\) | −4.23441 | − | 6.13460i | −0.135471 | − | 0.196263i | 0.749377 | − | 0.662144i | \(-0.230353\pi\) |
−0.884848 | + | 0.465880i | \(0.845738\pi\) | |||||||
\(978\) | 1.29963 | − | 3.42685i | 0.0415577 | − | 0.109579i | ||||
\(979\) | 5.09950 | + | 41.9982i | 0.162981 | + | 1.34227i | ||||
\(980\) | 16.4049 | + | 4.04343i | 0.524034 | + | 0.129163i | ||||
\(981\) | 21.0695 | + | 11.0581i | 0.672696 | + | 0.353058i | ||||
\(982\) | 31.1185 | − | 82.0529i | 0.993033 | − | 2.61841i | ||||
\(983\) | −20.6411 | − | 5.08758i | −0.658350 | − | 0.162269i | −0.104032 | − | 0.994574i | \(-0.533175\pi\) |
−0.554318 | + | 0.832305i | \(0.687021\pi\) | |||||||
\(984\) | −17.7551 | − | 4.37623i | −0.566011 | − | 0.139509i | ||||
\(985\) | 1.28046 | + | 1.85507i | 0.0407988 | + | 0.0591073i | ||||
\(986\) | −0.0755344 | + | 0.199168i | −0.00240551 | + | 0.00634280i | ||||
\(987\) | −2.45488 | − | 0.605072i | −0.0781395 | − | 0.0192597i | ||||
\(988\) | −48.1284 | − | 69.7260i | −1.53117 | − | 2.21828i | ||||
\(989\) | 4.83149 | − | 2.53576i | 0.153632 | − | 0.0806325i | ||||
\(990\) | 17.0560 | 0.542074 | ||||||||
\(991\) | −7.77075 | − | 4.07840i | −0.246846 | − | 0.129555i | 0.336763 | − | 0.941589i | \(-0.390668\pi\) |
−0.583609 | + | 0.812035i | \(0.698360\pi\) | |||||||
\(992\) | −5.29051 | + | 43.5712i | −0.167974 | + | 1.38339i | ||||
\(993\) | −2.73815 | + | 2.42579i | −0.0868927 | + | 0.0769802i | ||||
\(994\) | 16.0838 | − | 42.4096i | 0.510148 | − | 1.34515i | ||||
\(995\) | 0.991971 | − | 8.16962i | 0.0314476 | − | 0.258994i | ||||
\(996\) | −10.4743 | − | 5.49733i | −0.331891 | − | 0.174190i | ||||
\(997\) | −15.1244 | − | 21.9115i | −0.478994 | − | 0.693943i | 0.506769 | − | 0.862082i | \(-0.330840\pi\) |
−0.985763 | + | 0.168139i | \(0.946224\pi\) | |||||||
\(998\) | −31.1164 | + | 7.66952i | −0.984974 | + | 0.242774i | ||||
\(999\) | −1.58974 | + | 13.0927i | −0.0502971 | + | 0.414234i |
(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 | 859.2.f.a.524.1 | yes | 840 | |
859.100 | even | 13 | inner | 859.2.f.a.100.1 | ✓ | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
859.2.f.a.100.1 | ✓ | 840 | 859.100 | even | 13 | inner | |
859.2.f.a.524.1 | yes | 840 | 1.1 | even | 1 | trivial |