Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 211.18 | ||
Character | \(\chi\) | \(=\) | 225.211 |
Dual form | 225.2.q.a.16.18 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.520318 | + | 0.231661i | 0.367920 | + | 0.163809i | 0.582365 | − | 0.812927i | \(-0.302127\pi\) |
−0.214445 | + | 0.976736i | \(0.568794\pi\) | |||||||
\(3\) | −1.62589 | + | 0.597061i | −0.938708 | + | 0.344713i | ||||
\(4\) | −1.12120 | − | 1.24522i | −0.560598 | − | 0.622608i | ||||
\(5\) | 2.21056 | − | 0.336764i | 0.988594 | − | 0.150605i | ||||
\(6\) | −0.984295 | − | 0.0659928i | −0.401837 | − | 0.0269414i | ||||
\(7\) | 1.58872 | + | 2.75174i | 0.600478 | + | 1.04006i | 0.992749 | + | 0.120209i | \(0.0383565\pi\) |
−0.392270 | + | 0.919850i | \(0.628310\pi\) | |||||||
\(8\) | −0.646919 | − | 1.99101i | −0.228720 | − | 0.703929i | ||||
\(9\) | 2.28704 | − | 1.94151i | 0.762345 | − | 0.647171i | ||||
\(10\) | 1.22821 | + | 0.336876i | 0.388394 | + | 0.106530i | ||||
\(11\) | 1.73440 | + | 0.772206i | 0.522942 | + | 0.232829i | 0.651192 | − | 0.758913i | \(-0.274269\pi\) |
−0.128250 | + | 0.991742i | \(0.540936\pi\) | |||||||
\(12\) | 2.56641 | + | 1.35516i | 0.740859 | + | 0.391201i | ||||
\(13\) | 5.02577 | − | 2.23762i | 1.39390 | − | 0.620604i | 0.433990 | − | 0.900917i | \(-0.357105\pi\) |
0.959908 | + | 0.280314i | \(0.0904385\pi\) | |||||||
\(14\) | 0.189169 | + | 1.79982i | 0.0505575 | + | 0.481023i | ||||
\(15\) | −3.39306 | + | 1.86738i | −0.876085 | + | 0.482156i | ||||
\(16\) | −0.225661 | + | 2.14702i | −0.0564153 | + | 0.536756i | ||||
\(17\) | 0.888735 | + | 2.73524i | 0.215550 | + | 0.663394i | 0.999114 | + | 0.0420835i | \(0.0133995\pi\) |
−0.783564 | + | 0.621311i | \(0.786600\pi\) | |||||||
\(18\) | 1.63976 | − | 0.480388i | 0.386495 | − | 0.113228i | ||||
\(19\) | −1.39039 | − | 4.27917i | −0.318976 | − | 0.981708i | −0.974087 | − | 0.226175i | \(-0.927378\pi\) |
0.655110 | − | 0.755533i | \(-0.272622\pi\) | |||||||
\(20\) | −2.89782 | − | 2.37505i | −0.647972 | − | 0.531077i | ||||
\(21\) | −4.22603 | − | 3.52546i | −0.922196 | − | 0.769319i | ||||
\(22\) | 0.723552 | + | 0.803585i | 0.154262 | + | 0.171325i | ||||
\(23\) | 0.335381 | + | 3.19093i | 0.0699317 | + | 0.665356i | 0.972195 | + | 0.234171i | \(0.0752376\pi\) |
−0.902264 | + | 0.431185i | \(0.858096\pi\) | |||||||
\(24\) | 2.24057 | + | 2.85091i | 0.457355 | + | 0.581940i | ||||
\(25\) | 4.77318 | − | 1.48888i | 0.954636 | − | 0.297775i | ||||
\(26\) | 3.13337 | 0.614504 | ||||||||
\(27\) | −2.55927 | + | 4.52218i | −0.492531 | + | 0.870295i | ||||
\(28\) | 1.64524 | − | 5.06353i | 0.310921 | − | 0.956918i | ||||
\(29\) | −1.75597 | + | 0.373243i | −0.326076 | + | 0.0693095i | −0.368041 | − | 0.929810i | \(-0.619971\pi\) |
0.0419654 | + | 0.999119i | \(0.486638\pi\) | |||||||
\(30\) | −2.19807 | + | 0.185594i | −0.401311 | + | 0.0338846i | ||||
\(31\) | −7.35558 | − | 1.56348i | −1.32110 | − | 0.280809i | −0.507208 | − | 0.861824i | \(-0.669322\pi\) |
−0.813893 | + | 0.581015i | \(0.802656\pi\) | |||||||
\(32\) | −2.70827 | + | 4.69086i | −0.478759 | + | 0.829234i | ||||
\(33\) | −3.28100 | − | 0.219977i | −0.571149 | − | 0.0382931i | ||||
\(34\) | −0.171223 | + | 1.62908i | −0.0293646 | + | 0.279385i | ||||
\(35\) | 4.43864 | + | 5.54787i | 0.750268 | + | 0.937761i | ||||
\(36\) | −4.98182 | − | 0.671035i | −0.830303 | − | 0.111839i | ||||
\(37\) | −4.57619 | − | 3.32479i | −0.752320 | − | 0.546593i | 0.144225 | − | 0.989545i | \(-0.453931\pi\) |
−0.896545 | + | 0.442952i | \(0.853931\pi\) | |||||||
\(38\) | 0.267871 | − | 2.54863i | 0.0434545 | − | 0.413442i | ||||
\(39\) | −6.83536 | + | 6.63882i | −1.09453 | + | 1.06306i | ||||
\(40\) | −2.10055 | − | 4.18340i | −0.332127 | − | 0.661453i | ||||
\(41\) | −0.974346 | + | 0.433807i | −0.152167 | + | 0.0677492i | −0.481407 | − | 0.876497i | \(-0.659874\pi\) |
0.329240 | + | 0.944246i | \(0.393207\pi\) | |||||||
\(42\) | −1.38217 | − | 2.81337i | −0.213274 | − | 0.434112i | ||||
\(43\) | −3.64392 | − | 6.31145i | −0.555692 | − | 0.962488i | −0.997849 | − | 0.0655498i | \(-0.979120\pi\) |
0.442157 | − | 0.896938i | \(-0.354213\pi\) | |||||||
\(44\) | −0.983045 | − | 3.02550i | −0.148200 | − | 0.456111i | ||||
\(45\) | 4.40181 | − | 5.06203i | 0.656183 | − | 0.754602i | ||||
\(46\) | −0.564709 | + | 1.73800i | −0.0832618 | + | 0.256253i | ||||
\(47\) | 7.34730 | − | 1.56172i | 1.07171 | − | 0.227800i | 0.361920 | − | 0.932209i | \(-0.382121\pi\) |
0.709794 | + | 0.704409i | \(0.248788\pi\) | |||||||
\(48\) | −0.915004 | − | 3.62556i | −0.132069 | − | 0.523304i | ||||
\(49\) | −1.54804 | + | 2.68128i | −0.221149 | + | 0.383040i | ||||
\(50\) | 2.82849 | + | 0.331069i | 0.400008 | + | 0.0468202i | ||||
\(51\) | −3.07809 | − | 3.91658i | −0.431019 | − | 0.548431i | ||||
\(52\) | −8.42120 | − | 3.74936i | −1.16781 | − | 0.519943i | ||||
\(53\) | −0.982710 | + | 3.02447i | −0.134986 | + | 0.415443i | −0.995588 | − | 0.0938349i | \(-0.970087\pi\) |
0.860602 | + | 0.509278i | \(0.170087\pi\) | |||||||
\(54\) | −2.37924 | + | 1.76009i | −0.323774 | + | 0.239518i | ||||
\(55\) | 4.09406 | + | 1.12293i | 0.552043 | + | 0.151415i | ||||
\(56\) | 4.45097 | − | 4.94330i | 0.594786 | − | 0.660576i | ||||
\(57\) | 4.81554 | + | 6.12731i | 0.637834 | + | 0.811582i | ||||
\(58\) | −1.00013 | − | 0.212584i | −0.131323 | − | 0.0279136i | ||||
\(59\) | −12.0714 | + | 5.37452i | −1.57156 | + | 0.699703i | −0.993237 | − | 0.116106i | \(-0.962959\pi\) |
−0.578321 | + | 0.815809i | \(0.696292\pi\) | |||||||
\(60\) | 6.12959 | + | 2.13139i | 0.791326 | + | 0.275161i | ||||
\(61\) | 0.958206 | + | 0.426621i | 0.122686 | + | 0.0546232i | 0.467162 | − | 0.884172i | \(-0.345277\pi\) |
−0.344476 | + | 0.938795i | \(0.611943\pi\) | |||||||
\(62\) | −3.46504 | − | 2.51750i | −0.440061 | − | 0.319723i | ||||
\(63\) | 8.97598 | + | 3.20881i | 1.13087 | + | 0.404272i | ||||
\(64\) | 0.997243 | − | 0.724540i | 0.124655 | − | 0.0905675i | ||||
\(65\) | 10.3562 | − | 6.63890i | 1.28453 | − | 0.823454i | ||||
\(66\) | −1.65620 | − | 0.874537i | −0.203865 | − | 0.107648i | ||||
\(67\) | 12.7060 | + | 2.70075i | 1.55229 | + | 0.329949i | 0.902677 | − | 0.430319i | \(-0.141599\pi\) |
0.649610 | + | 0.760268i | \(0.274932\pi\) | |||||||
\(68\) | 2.40952 | − | 4.17341i | 0.292197 | − | 0.506101i | ||||
\(69\) | −2.45048 | − | 4.98787i | −0.295003 | − | 0.600468i | ||||
\(70\) | 1.02428 | + | 3.91491i | 0.122425 | + | 0.467922i | ||||
\(71\) | −2.10454 | + | 6.47710i | −0.249763 | + | 0.768690i | 0.745054 | + | 0.667004i | \(0.232424\pi\) |
−0.994817 | + | 0.101686i | \(0.967576\pi\) | |||||||
\(72\) | −5.34510 | − | 3.29751i | −0.629926 | − | 0.388616i | ||||
\(73\) | −0.173732 | + | 0.126223i | −0.0203337 | + | 0.0147733i | −0.597906 | − | 0.801566i | \(-0.704000\pi\) |
0.577572 | + | 0.816340i | \(0.304000\pi\) | |||||||
\(74\) | −1.61085 | − | 2.79007i | −0.187257 | − | 0.324339i | ||||
\(75\) | −6.87172 | + | 5.27063i | −0.793477 | + | 0.608600i | ||||
\(76\) | −3.76959 | + | 6.52912i | −0.432402 | + | 0.748941i | ||||
\(77\) | 0.630566 | + | 5.99944i | 0.0718597 | + | 0.683699i | ||||
\(78\) | −5.09451 | + | 1.87081i | −0.576840 | + | 0.211828i | ||||
\(79\) | 4.79399 | − | 1.01899i | 0.539366 | − | 0.114646i | 0.0698299 | − | 0.997559i | \(-0.477754\pi\) |
0.469537 | + | 0.882913i | \(0.344421\pi\) | |||||||
\(80\) | 0.224201 | + | 4.82212i | 0.0250665 | + | 0.539130i | ||||
\(81\) | 1.46107 | − | 8.88061i | 0.162341 | − | 0.986735i | ||||
\(82\) | −0.607465 | −0.0670833 | ||||||||
\(83\) | −10.0251 | + | 11.1340i | −1.10039 | + | 1.22211i | −0.127261 | + | 0.991869i | \(0.540619\pi\) |
−0.973133 | + | 0.230243i | \(0.926048\pi\) | |||||||
\(84\) | 0.348258 | + | 9.21506i | 0.0379980 | + | 1.00545i | ||||
\(85\) | 2.88574 | + | 5.74714i | 0.313002 | + | 0.623365i | ||||
\(86\) | −0.433882 | − | 4.12812i | −0.0467867 | − | 0.445146i | ||||
\(87\) | 2.63217 | − | 1.65527i | 0.282198 | − | 0.177464i | ||||
\(88\) | 0.415453 | − | 3.95277i | 0.0442874 | − | 0.421367i | ||||
\(89\) | −2.15019 | + | 1.56220i | −0.227920 | + | 0.165593i | −0.695884 | − | 0.718154i | \(-0.744987\pi\) |
0.467965 | + | 0.883747i | \(0.344987\pi\) | |||||||
\(90\) | 3.46301 | − | 1.61414i | 0.365033 | − | 0.170145i | ||||
\(91\) | 14.1419 | + | 10.2747i | 1.48247 | + | 1.07708i | ||||
\(92\) | 3.59737 | − | 3.99529i | 0.375052 | − | 0.416537i | ||||
\(93\) | 12.8929 | − | 1.84969i | 1.33693 | − | 0.191804i | ||||
\(94\) | 4.18472 | + | 0.889490i | 0.431621 | + | 0.0917439i | ||||
\(95\) | −4.51461 | − | 8.99114i | −0.463189 | − | 0.922472i | ||||
\(96\) | 1.60262 | − | 9.24382i | 0.163566 | − | 0.943444i | ||||
\(97\) | −13.1990 | + | 2.80553i | −1.34015 | + | 0.284858i | −0.821539 | − | 0.570152i | \(-0.806884\pi\) |
−0.518612 | + | 0.855010i | \(0.673551\pi\) | |||||||
\(98\) | −1.42662 | + | 1.03650i | −0.144110 | + | 0.104702i | ||||
\(99\) | 5.46589 | − | 1.60130i | 0.549342 | − | 0.160937i | ||||
\(100\) | −7.20565 | − | 4.27431i | −0.720565 | − | 0.427431i | ||||
\(101\) | −6.60846 | − | 11.4462i | −0.657566 | − | 1.13894i | −0.981244 | − | 0.192771i | \(-0.938253\pi\) |
0.323678 | − | 0.946167i | \(-0.395081\pi\) | |||||||
\(102\) | −0.694271 | − | 2.75094i | −0.0687431 | − | 0.272384i | ||||
\(103\) | −3.65814 | − | 4.06278i | −0.360447 | − | 0.400317i | 0.535458 | − | 0.844562i | \(-0.320139\pi\) |
−0.895906 | + | 0.444244i | \(0.853472\pi\) | |||||||
\(104\) | −7.70639 | − | 8.55881i | −0.755674 | − | 0.839261i | ||||
\(105\) | −10.5292 | − | 6.37008i | −1.02754 | − | 0.621656i | ||||
\(106\) | −1.21197 | + | 1.34603i | −0.117717 | + | 0.130738i | ||||
\(107\) | 11.8545 | 1.14602 | 0.573009 | − | 0.819549i | \(-0.305776\pi\) | ||||
0.573009 | + | 0.819549i | \(0.305776\pi\) | |||||||
\(108\) | 8.50054 | − | 1.88342i | 0.817964 | − | 0.181232i | ||||
\(109\) | 3.14760 | + | 2.28686i | 0.301485 | + | 0.219042i | 0.728234 | − | 0.685328i | \(-0.240341\pi\) |
−0.426749 | + | 0.904370i | \(0.640341\pi\) | |||||||
\(110\) | 1.87008 | + | 1.53271i | 0.178305 | + | 0.146138i | ||||
\(111\) | 9.42548 | + | 2.67349i | 0.894627 | + | 0.253756i | ||||
\(112\) | −6.26655 | + | 2.79005i | −0.592134 | + | 0.263635i | ||||
\(113\) | −19.0568 | + | 8.48462i | −1.79271 | + | 0.798166i | −0.817822 | + | 0.575471i | \(0.804819\pi\) |
−0.974888 | + | 0.222695i | \(0.928515\pi\) | |||||||
\(114\) | 1.08616 | + | 4.30372i | 0.101728 | + | 0.403080i | ||||
\(115\) | 1.81597 | + | 6.94082i | 0.169340 | + | 0.647235i | ||||
\(116\) | 2.43356 | + | 1.76808i | 0.225950 | + | 0.164162i | ||||
\(117\) | 7.14976 | − | 14.8751i | 0.660996 | − | 1.37520i | ||||
\(118\) | −7.52601 | −0.692826 | ||||||||
\(119\) | −6.11473 | + | 6.79109i | −0.560536 | + | 0.622539i | ||||
\(120\) | 5.91301 | + | 5.54758i | 0.539782 | + | 0.506423i | ||||
\(121\) | −4.94858 | − | 5.49596i | −0.449871 | − | 0.499633i | ||||
\(122\) | 0.399741 | + | 0.443957i | 0.0361908 | + | 0.0401940i | ||||
\(123\) | 1.32517 | − | 1.28707i | 0.119487 | − | 0.116051i | ||||
\(124\) | 6.30019 | + | 10.9122i | 0.565774 | + | 0.979949i | ||||
\(125\) | 10.0500 | − | 4.89869i | 0.898901 | − | 0.438152i | ||||
\(126\) | 3.92701 | + | 3.74898i | 0.349846 | + | 0.333986i | ||||
\(127\) | −8.35355 | + | 6.06921i | −0.741258 | + | 0.538555i | −0.893105 | − | 0.449849i | \(-0.851478\pi\) |
0.151847 | + | 0.988404i | \(0.451478\pi\) | |||||||
\(128\) | 11.2831 | − | 2.39829i | 0.997292 | − | 0.211981i | ||||
\(129\) | 9.69293 | + | 8.08608i | 0.853415 | + | 0.711940i | ||||
\(130\) | 6.92651 | − | 1.05521i | 0.607495 | − | 0.0925476i | ||||
\(131\) | 3.39927 | + | 0.722537i | 0.296996 | + | 0.0631284i | 0.354000 | − | 0.935246i | \(-0.384821\pi\) |
−0.0570039 | + | 0.998374i | \(0.518155\pi\) | |||||||
\(132\) | 3.40473 | + | 4.33219i | 0.296344 | + | 0.377069i | ||||
\(133\) | 9.56622 | − | 10.6244i | 0.829496 | − | 0.921249i | ||||
\(134\) | 5.98551 | + | 4.34873i | 0.517069 | + | 0.375673i | ||||
\(135\) | −4.13451 | + | 10.8584i | −0.355842 | + | 0.934546i | ||||
\(136\) | 4.87096 | − | 3.53896i | 0.417682 | − | 0.303463i | ||||
\(137\) | −0.305626 | + | 2.90784i | −0.0261114 | + | 0.248433i | 0.973678 | + | 0.227927i | \(0.0731946\pi\) |
−0.999790 | + | 0.0205067i | \(0.993472\pi\) | |||||||
\(138\) | −0.119535 | − | 3.16295i | −0.0101755 | − | 0.269249i | ||||
\(139\) | −0.474674 | − | 4.51623i | −0.0402614 | − | 0.383061i | −0.996035 | − | 0.0889589i | \(-0.971646\pi\) |
0.955774 | − | 0.294102i | \(-0.0950206\pi\) | |||||||
\(140\) | 1.93170 | − | 11.7473i | 0.163258 | − | 0.992830i | ||||
\(141\) | −11.0135 | + | 6.92597i | −0.927501 | + | 0.583272i | ||||
\(142\) | −2.59552 | + | 2.88261i | −0.217811 | + | 0.241904i | ||||
\(143\) | 10.4446 | 0.873423 | ||||||||
\(144\) | 3.65237 | + | 5.34844i | 0.304364 | + | 0.445703i | ||||
\(145\) | −3.75599 | + | 1.41643i | −0.311918 | + | 0.117628i | ||||
\(146\) | −0.119637 | + | 0.0254296i | −0.00990120 | + | 0.00210457i | ||||
\(147\) | 0.916052 | − | 5.28375i | 0.0755547 | − | 0.435796i | ||||
\(148\) | 0.990722 | + | 9.42609i | 0.0814368 | + | 0.774820i | ||||
\(149\) | 10.6857 | − | 18.5083i | 0.875411 | − | 1.51626i | 0.0190860 | − | 0.999818i | \(-0.493924\pi\) |
0.856325 | − | 0.516438i | \(-0.172742\pi\) | |||||||
\(150\) | −4.79647 | + | 1.15050i | −0.391630 | + | 0.0939377i | ||||
\(151\) | −10.4131 | − | 18.0359i | −0.847402 | − | 1.46774i | −0.883518 | − | 0.468397i | \(-0.844832\pi\) |
0.0361159 | − | 0.999348i | \(-0.488501\pi\) | |||||||
\(152\) | −7.62040 | + | 5.53655i | −0.618096 | + | 0.449073i | ||||
\(153\) | 7.34308 | + | 4.53011i | 0.593653 | + | 0.366238i | ||||
\(154\) | −1.06174 | + | 3.26769i | −0.0855573 | + | 0.263318i | ||||
\(155\) | −16.7865 | − | 0.979071i | −1.34832 | − | 0.0786409i | ||||
\(156\) | 15.9305 | + | 1.06807i | 1.27546 | + | 0.0855144i | ||||
\(157\) | 6.10055 | − | 10.5665i | 0.486877 | − | 0.843296i | −0.513009 | − | 0.858383i | \(-0.671469\pi\) |
0.999886 | + | 0.0150873i | \(0.00480263\pi\) | |||||||
\(158\) | 2.73046 | + | 0.580378i | 0.217224 | + | 0.0461724i | ||||
\(159\) | −0.208016 | − | 5.50419i | −0.0164967 | − | 0.436511i | ||||
\(160\) | −4.40709 | + | 11.2815i | −0.348411 | + | 0.891880i | ||||
\(161\) | −8.24779 | + | 5.99237i | −0.650017 | + | 0.472265i | ||||
\(162\) | 2.81751 | − | 4.28227i | 0.221364 | − | 0.336447i | ||||
\(163\) | −1.97156 | − | 1.43242i | −0.154424 | − | 0.112196i | 0.507890 | − | 0.861422i | \(-0.330426\pi\) |
−0.662314 | + | 0.749226i | \(0.730426\pi\) | |||||||
\(164\) | 1.63262 | + | 0.726887i | 0.127486 | + | 0.0567604i | ||||
\(165\) | −7.32694 | + | 0.618650i | −0.570402 | + | 0.0481618i | ||||
\(166\) | −7.79553 | + | 3.47079i | −0.605050 | + | 0.269386i | ||||
\(167\) | 4.18740 | + | 0.890059i | 0.324031 | + | 0.0688748i | 0.367055 | − | 0.930199i | \(-0.380366\pi\) |
−0.0430245 | + | 0.999074i | \(0.513699\pi\) | |||||||
\(168\) | −4.28533 | + | 10.6948i | −0.330620 | + | 0.825119i | ||||
\(169\) | 11.5528 | − | 12.8306i | 0.888674 | − | 0.986973i | ||||
\(170\) | 0.170116 | + | 3.65885i | 0.0130473 | + | 0.280621i | ||||
\(171\) | −11.4879 | − | 7.08716i | −0.878503 | − | 0.541969i | ||||
\(172\) | −3.77357 | + | 11.6138i | −0.287732 | + | 0.885547i | ||||
\(173\) | −3.56921 | − | 1.58911i | −0.271362 | − | 0.120818i | 0.266545 | − | 0.963823i | \(-0.414118\pi\) |
−0.537907 | + | 0.843004i | \(0.680785\pi\) | |||||||
\(174\) | 1.75303 | − | 0.251500i | 0.132897 | − | 0.0190662i | ||||
\(175\) | 11.6802 | + | 10.7691i | 0.882942 | + | 0.814070i | ||||
\(176\) | −2.04933 | + | 3.54955i | −0.154474 | + | 0.267557i | ||||
\(177\) | 16.4178 | − | 15.9457i | 1.23404 | − | 1.19855i | ||||
\(178\) | −1.48068 | + | 0.314729i | −0.110982 | + | 0.0235899i | ||||
\(179\) | 6.86538 | − | 21.1295i | 0.513142 | − | 1.57929i | −0.273495 | − | 0.961874i | \(-0.588180\pi\) |
0.786637 | − | 0.617416i | \(-0.211820\pi\) | |||||||
\(180\) | −11.2386 | + | 0.194330i | −0.837676 | + | 0.0144845i | ||||
\(181\) | 7.16149 | + | 22.0408i | 0.532309 | + | 1.63828i | 0.749393 | + | 0.662126i | \(0.230346\pi\) |
−0.217083 | + | 0.976153i | \(0.569654\pi\) | |||||||
\(182\) | 4.97803 | + | 8.62221i | 0.368996 | + | 0.639121i | ||||
\(183\) | −1.81266 | − | 0.121531i | −0.133995 | − | 0.00898382i | ||||
\(184\) | 6.13622 | − | 2.73202i | 0.452368 | − | 0.201407i | ||||
\(185\) | −11.2356 | − | 5.80857i | −0.826059 | − | 0.427055i | ||||
\(186\) | 7.13688 | + | 2.02434i | 0.523302 | + | 0.148432i | ||||
\(187\) | −0.570748 | + | 5.43030i | −0.0417372 | + | 0.397103i | ||||
\(188\) | −10.1824 | − | 7.39798i | −0.742631 | − | 0.539553i | ||||
\(189\) | −16.5098 | + | 0.142037i | −1.20091 | + | 0.0103317i | ||||
\(190\) | −0.266138 | − | 5.72411i | −0.0193077 | − | 0.415270i | ||||
\(191\) | 0.791639 | − | 7.53194i | 0.0572810 | − | 0.544992i | −0.927822 | − | 0.373024i | \(-0.878321\pi\) |
0.985103 | − | 0.171968i | \(-0.0550125\pi\) | |||||||
\(192\) | −1.18881 | + | 1.77344i | −0.0857952 | + | 0.127987i | ||||
\(193\) | −5.75178 | + | 9.96237i | −0.414022 | + | 0.717107i | −0.995325 | − | 0.0965798i | \(-0.969210\pi\) |
0.581303 | + | 0.813687i | \(0.302543\pi\) | |||||||
\(194\) | −7.51759 | − | 1.59791i | −0.539731 | − | 0.114723i | ||||
\(195\) | −12.8743 | + | 16.9774i | −0.921946 | + | 1.21578i | ||||
\(196\) | 5.07443 | − | 1.07860i | 0.362459 | − | 0.0770431i | ||||
\(197\) | −1.04613 | + | 3.21965i | −0.0745335 | + | 0.229390i | −0.981382 | − | 0.192066i | \(-0.938481\pi\) |
0.906848 | + | 0.421457i | \(0.138481\pi\) | |||||||
\(198\) | 3.21496 | + | 0.433045i | 0.228477 | + | 0.0307752i | ||||
\(199\) | −16.4429 | −1.16560 | −0.582802 | − | 0.812614i | \(-0.698044\pi\) | ||||
−0.582802 | + | 0.812614i | \(0.698044\pi\) | |||||||
\(200\) | −6.05223 | − | 8.54027i | −0.427957 | − | 0.603888i | ||||
\(201\) | −22.2711 | + | 3.19515i | −1.57088 | + | 0.225369i | ||||
\(202\) | −0.786871 | − | 7.48658i | −0.0553640 | − | 0.526754i | ||||
\(203\) | −3.81681 | − | 4.23899i | −0.267887 | − | 0.297519i | ||||
\(204\) | −1.42583 | + | 8.22414i | −0.0998283 | + | 0.575805i | ||||
\(205\) | −2.00776 | + | 1.28708i | −0.140228 | + | 0.0898936i | ||||
\(206\) | −0.962211 | − | 2.96138i | −0.0670404 | − | 0.206329i | ||||
\(207\) | 6.96226 | + | 6.64664i | 0.483911 | + | 0.461973i | ||||
\(208\) | 3.67010 | + | 11.2954i | 0.254475 | + | 0.783195i | ||||
\(209\) | 0.892910 | − | 8.49547i | 0.0617638 | − | 0.587644i | ||||
\(210\) | −4.00282 | − | 5.75366i | −0.276221 | − | 0.397040i | ||||
\(211\) | 0.988953 | + | 9.40926i | 0.0680823 | + | 0.647760i | 0.974347 | + | 0.225050i | \(0.0722545\pi\) |
−0.906265 | + | 0.422710i | \(0.861079\pi\) | |||||||
\(212\) | 4.86793 | − | 2.16734i | 0.334331 | − | 0.148854i | ||||
\(213\) | −0.445479 | − | 11.7876i | −0.0305237 | − | 0.807672i | ||||
\(214\) | 6.16811 | + | 2.74622i | 0.421644 | + | 0.187728i | ||||
\(215\) | −10.1806 | − | 12.7247i | −0.694310 | − | 0.867819i | ||||
\(216\) | 10.6594 | + | 2.17004i | 0.725277 | + | 0.147653i | ||||
\(217\) | −7.38365 | − | 22.7245i | −0.501235 | − | 1.54264i | ||||
\(218\) | 1.10797 | + | 1.91907i | 0.0750415 | + | 0.129976i | ||||
\(219\) | 0.207105 | − | 0.308954i | 0.0139949 | − | 0.0208772i | ||||
\(220\) | −3.19196 | − | 6.35701i | −0.215202 | − | 0.428589i | ||||
\(221\) | 10.5870 | + | 11.7581i | 0.712160 | + | 0.790933i | ||||
\(222\) | 4.28491 | + | 3.57457i | 0.287584 | + | 0.239910i | ||||
\(223\) | 1.13308 | + | 0.504480i | 0.0758767 | + | 0.0337825i | 0.444324 | − | 0.895866i | \(-0.353444\pi\) |
−0.368447 | + | 0.929649i | \(0.620111\pi\) | |||||||
\(224\) | −17.2107 | −1.14994 | ||||||||
\(225\) | 8.02577 | − | 12.6723i | 0.535051 | − | 0.844820i | ||||
\(226\) | −11.8811 | −0.790321 | ||||||||
\(227\) | −22.1073 | − | 9.84279i | −1.46731 | − | 0.653289i | −0.491296 | − | 0.870993i | \(-0.663477\pi\) |
−0.976015 | + | 0.217704i | \(0.930143\pi\) | |||||||
\(228\) | 2.23065 | − | 12.8663i | 0.147729 | − | 0.852092i | ||||
\(229\) | 2.50498 | + | 2.78206i | 0.165534 | + | 0.183844i | 0.820205 | − | 0.572070i | \(-0.193860\pi\) |
−0.654671 | + | 0.755914i | \(0.727193\pi\) | |||||||
\(230\) | −0.663031 | + | 4.03212i | −0.0437190 | + | 0.265870i | ||||
\(231\) | −4.60726 | − | 9.37794i | −0.303136 | − | 0.617023i | ||||
\(232\) | 1.87910 | + | 3.25470i | 0.123369 | + | 0.213681i | ||||
\(233\) | 2.75742 | + | 8.48645i | 0.180644 | + | 0.555966i | 0.999846 | − | 0.0175392i | \(-0.00558319\pi\) |
−0.819202 | + | 0.573505i | \(0.805583\pi\) | |||||||
\(234\) | 7.16613 | − | 6.08347i | 0.468464 | − | 0.397689i | ||||
\(235\) | 15.7157 | − | 5.92658i | 1.02518 | − | 0.386608i | ||||
\(236\) | 20.2268 | + | 9.00556i | 1.31665 | + | 0.586212i | ||||
\(237\) | −7.18610 | + | 4.51908i | −0.466788 | + | 0.293546i | ||||
\(238\) | −4.75483 | + | 2.11699i | −0.308210 | + | 0.137224i | ||||
\(239\) | −0.680615 | − | 6.47562i | −0.0440253 | − | 0.418873i | −0.994232 | − | 0.107252i | \(-0.965795\pi\) |
0.950207 | − | 0.311621i | \(-0.100872\pi\) | |||||||
\(240\) | −3.24363 | − | 7.70638i | −0.209375 | − | 0.497445i | ||||
\(241\) | −2.63541 | + | 25.0743i | −0.169762 | + | 1.61518i | 0.495528 | + | 0.868592i | \(0.334975\pi\) |
−0.665290 | + | 0.746585i | \(0.731692\pi\) | |||||||
\(242\) | −1.30164 | − | 4.00604i | −0.0836726 | − | 0.257518i | ||||
\(243\) | 2.92674 | + | 15.3112i | 0.187750 | + | 0.982217i | ||||
\(244\) | −0.543103 | − | 1.67150i | −0.0347686 | − | 0.107007i | ||||
\(245\) | −2.51908 | + | 6.44847i | −0.160938 | + | 0.411978i | ||||
\(246\) | 0.987672 | − | 0.362694i | 0.0629717 | − | 0.0231245i | ||||
\(247\) | −16.5629 | − | 18.3950i | −1.05387 | − | 1.17044i | ||||
\(248\) | 1.64556 | + | 15.6565i | 0.104493 | + | 0.994187i | ||||
\(249\) | 9.65200 | − | 24.0882i | 0.611671 | − | 1.52653i | ||||
\(250\) | 6.36404 | − | 0.220683i | 0.402497 | − | 0.0139572i | ||||
\(251\) | 28.2055 | 1.78032 | 0.890159 | − | 0.455650i | \(-0.150593\pi\) | ||||
0.890159 | + | 0.455650i | \(0.150593\pi\) | |||||||
\(252\) | −6.06818 | − | 14.7747i | −0.382260 | − | 0.930721i | ||||
\(253\) | −1.88237 | + | 5.79335i | −0.118344 | + | 0.364225i | ||||
\(254\) | −5.75250 | + | 1.22273i | −0.360944 | + | 0.0767210i | ||||
\(255\) | −8.12328 | − | 7.62125i | −0.508700 | − | 0.477261i | ||||
\(256\) | 4.01493 | + | 0.853400i | 0.250933 | + | 0.0533375i | ||||
\(257\) | −13.6020 | + | 23.5593i | −0.848468 | + | 1.46959i | 0.0341065 | + | 0.999418i | \(0.489141\pi\) |
−0.882575 | + | 0.470172i | \(0.844192\pi\) | |||||||
\(258\) | 3.17018 | + | 6.45281i | 0.197367 | + | 0.401734i | ||||
\(259\) | 1.87870 | − | 17.8746i | 0.116737 | − | 1.11067i | ||||
\(260\) | −19.8782 | − | 5.45224i | −1.23280 | − | 0.338134i | ||||
\(261\) | −3.29131 | + | 4.26286i | −0.203727 | + | 0.263864i | ||||
\(262\) | 1.60132 | + | 1.16343i | 0.0989298 | + | 0.0718767i | ||||
\(263\) | −1.60354 | + | 15.2566i | −0.0988784 | + | 0.940765i | 0.826811 | + | 0.562480i | \(0.190153\pi\) |
−0.925689 | + | 0.378285i | \(0.876514\pi\) | |||||||
\(264\) | 1.68456 | + | 6.67482i | 0.103678 | + | 0.410807i | ||||
\(265\) | −1.15381 | + | 7.01672i | −0.0708780 | + | 0.431034i | ||||
\(266\) | 7.43872 | − | 3.31193i | 0.456097 | − | 0.203068i | ||||
\(267\) | 2.56324 | − | 3.82377i | 0.156868 | − | 0.234011i | ||||
\(268\) | −10.8829 | − | 18.8498i | −0.664781 | − | 1.15143i | ||||
\(269\) | 5.41294 | + | 16.6593i | 0.330033 | + | 1.01574i | 0.969117 | + | 0.246600i | \(0.0793134\pi\) |
−0.639084 | + | 0.769137i | \(0.720687\pi\) | |||||||
\(270\) | −4.66673 | + | 4.69204i | −0.284008 | + | 0.285548i | ||||
\(271\) | −2.30906 | + | 7.10654i | −0.140265 | + | 0.431692i | −0.996372 | − | 0.0851075i | \(-0.972877\pi\) |
0.856107 | + | 0.516799i | \(0.172877\pi\) | |||||||
\(272\) | −6.07319 | + | 1.29090i | −0.368241 | + | 0.0782720i | ||||
\(273\) | −29.1277 | − | 8.26192i | −1.76289 | − | 0.500034i | ||||
\(274\) | −0.832653 | + | 1.44220i | −0.0503024 | + | 0.0871264i | ||||
\(275\) | 9.42834 | + | 1.10357i | 0.568550 | + | 0.0665477i | ||||
\(276\) | −3.46350 | + | 8.64375i | −0.208478 | + | 0.520293i | ||||
\(277\) | 5.12669 | + | 2.28255i | 0.308033 | + | 0.137145i | 0.554931 | − | 0.831896i | \(-0.312745\pi\) |
−0.246898 | + | 0.969041i | \(0.579411\pi\) | |||||||
\(278\) | 0.799249 | − | 2.45984i | 0.0479358 | − | 0.147531i | ||||
\(279\) | −19.8580 | + | 10.7052i | −1.18887 | + | 0.640904i | ||||
\(280\) | 8.17442 | − | 12.4264i | 0.488515 | − | 0.742620i | ||||
\(281\) | 6.80056 | − | 7.55279i | 0.405688 | − | 0.450562i | −0.505332 | − | 0.862925i | \(-0.668630\pi\) |
0.911019 | + | 0.412363i | \(0.135297\pi\) | |||||||
\(282\) | −7.33498 | + | 1.05232i | −0.436792 | + | 0.0626649i | ||||
\(283\) | −11.5913 | − | 2.46381i | −0.689033 | − | 0.146459i | −0.149928 | − | 0.988697i | \(-0.547904\pi\) |
−0.539105 | + | 0.842238i | \(0.681237\pi\) | |||||||
\(284\) | 10.4250 | − | 4.64150i | 0.618609 | − | 0.275422i | ||||
\(285\) | 12.7085 | + | 11.9231i | 0.752787 | + | 0.706264i | ||||
\(286\) | 5.43452 | + | 2.41961i | 0.321350 | + | 0.143074i | ||||
\(287\) | −2.74168 | − | 1.99195i | −0.161836 | − | 0.117581i | ||||
\(288\) | 2.91345 | + | 15.9863i | 0.171677 | + | 0.942002i | ||||
\(289\) | 7.06157 | − | 5.13053i | 0.415387 | − | 0.301796i | ||||
\(290\) | −2.28244 | − | 0.133123i | −0.134029 | − | 0.00781726i | ||||
\(291\) | 19.7850 | − | 12.4421i | 1.15982 | − | 0.729367i | ||||
\(292\) | 0.351963 | + | 0.0748120i | 0.0205971 | + | 0.00437804i | ||||
\(293\) | −8.45858 | + | 14.6507i | −0.494156 | + | 0.855903i | −0.999977 | − | 0.00673521i | \(-0.997856\pi\) |
0.505822 | + | 0.862638i | \(0.331189\pi\) | |||||||
\(294\) | 1.70067 | − | 2.53702i | 0.0991853 | − | 0.147962i | ||||
\(295\) | −24.8746 | + | 15.9459i | −1.44825 | + | 0.928407i | ||||
\(296\) | −3.65928 | + | 11.2621i | −0.212691 | + | 0.654597i | ||||
\(297\) | −7.93086 | + | 5.86701i | −0.460195 | + | 0.340438i | ||||
\(298\) | 9.84762 | − | 7.15472i | 0.570457 | − | 0.414462i | ||||
\(299\) | 8.82564 | + | 15.2865i | 0.510400 | + | 0.884039i | ||||
\(300\) | 14.2676 | + | 2.64735i | 0.823741 | + | 0.152845i | ||||
\(301\) | 11.5783 | − | 20.0542i | 0.667363 | − | 1.15591i | ||||
\(302\) | −1.23989 | − | 11.7967i | −0.0713474 | − | 0.678825i | ||||
\(303\) | 17.5787 | + | 14.6646i | 1.00987 | + | 0.842458i | ||||
\(304\) | 9.50123 | − | 2.01955i | 0.544933 | − | 0.115829i | ||||
\(305\) | 2.26185 | + | 0.620383i | 0.129513 | + | 0.0355231i | ||||
\(306\) | 2.77129 | + | 4.05820i | 0.158424 | + | 0.231992i | ||||
\(307\) | −1.52786 | −0.0871995 | −0.0435997 | − | 0.999049i | \(-0.513883\pi\) | ||||
−0.0435997 | + | 0.999049i | \(0.513883\pi\) | |||||||
\(308\) | 6.76360 | − | 7.51174i | 0.385392 | − | 0.428021i | ||||
\(309\) | 8.37346 | + | 4.42149i | 0.476349 | + | 0.251530i | ||||
\(310\) | −8.50750 | − | 4.39820i | −0.483194 | − | 0.249801i | ||||
\(311\) | 0.956654 | + | 9.10196i | 0.0542469 | + | 0.516125i | 0.987580 | + | 0.157114i | \(0.0502191\pi\) |
−0.933334 | + | 0.359010i | \(0.883114\pi\) | |||||||
\(312\) | 17.6399 | + | 9.31450i | 0.998661 | + | 0.527330i | ||||
\(313\) | 0.0373152 | − | 0.355030i | 0.00210918 | − | 0.0200675i | −0.993417 | − | 0.114557i | \(-0.963455\pi\) |
0.995526 | + | 0.0944894i | \(0.0301218\pi\) | |||||||
\(314\) | 5.62206 | − | 4.08467i | 0.317271 | − | 0.230511i | ||||
\(315\) | 20.9226 | + | 4.07049i | 1.17885 | + | 0.229346i | ||||
\(316\) | −6.64388 | − | 4.82706i | −0.373747 | − | 0.271543i | ||||
\(317\) | 12.0031 | − | 13.3308i | 0.674164 | − | 0.748735i | −0.304879 | − | 0.952391i | \(-0.598616\pi\) |
0.979042 | + | 0.203657i | \(0.0652826\pi\) | |||||||
\(318\) | 1.16687 | − | 2.91212i | 0.0654348 | − | 0.163304i | ||||
\(319\) | −3.33378 | − | 0.708617i | −0.186656 | − | 0.0396749i | ||||
\(320\) | 1.96047 | − | 1.93748i | 0.109594 | − | 0.108308i | ||||
\(321\) | −19.2741 | + | 7.07787i | −1.07578 | + | 0.395048i | ||||
\(322\) | −5.67967 | + | 1.20725i | −0.316516 | + | 0.0672775i | ||||
\(323\) | 10.4689 | − | 7.60609i | 0.582504 | − | 0.423214i | ||||
\(324\) | −12.6964 | + | 8.13757i | −0.705357 | + | 0.452087i | ||||
\(325\) | 20.6574 | − | 18.1633i | 1.14587 | − | 1.00752i | ||||
\(326\) | −0.694002 | − | 1.20205i | −0.0384372 | − | 0.0665752i | ||||
\(327\) | −6.48304 | − | 1.83888i | −0.358513 | − | 0.101690i | ||||
\(328\) | 1.49404 | + | 1.65929i | 0.0824943 | + | 0.0916192i | ||||
\(329\) | 15.9702 | + | 17.7367i | 0.880467 | + | 0.977857i | ||||
\(330\) | −3.95566 | − | 1.37547i | −0.217752 | − | 0.0757171i | ||||
\(331\) | 8.74392 | − | 9.71111i | 0.480609 | − | 0.533771i | −0.453263 | − | 0.891377i | \(-0.649740\pi\) |
0.933873 | + | 0.357606i | \(0.116407\pi\) | |||||||
\(332\) | 25.1043 | 1.37778 | ||||||||
\(333\) | −16.9210 | + | 1.28080i | −0.927267 | + | 0.0701872i | ||||
\(334\) | 1.97259 | + | 1.43317i | 0.107935 | + | 0.0784195i | ||||
\(335\) | 28.9970 | + | 1.69125i | 1.58427 | + | 0.0924026i | ||||
\(336\) | 8.52290 | − | 8.27783i | 0.464962 | − | 0.451593i | ||||
\(337\) | 21.3210 | − | 9.49273i | 1.16143 | − | 0.517102i | 0.266731 | − | 0.963771i | \(-0.414057\pi\) |
0.894699 | + | 0.446669i | \(0.147390\pi\) | |||||||
\(338\) | 8.98347 | − | 3.99970i | 0.488636 | − | 0.217555i | ||||
\(339\) | 25.9184 | − | 25.1731i | 1.40769 | − | 1.36722i | ||||
\(340\) | 3.92095 | − | 10.0370i | 0.212643 | − | 0.544335i | ||||
\(341\) | −11.5502 | − | 8.39172i | −0.625479 | − | 0.454437i | ||||
\(342\) | −4.33556 | − | 6.34887i | −0.234440 | − | 0.343308i | ||||
\(343\) | 12.4044 | 0.669777 | ||||||||
\(344\) | −10.2089 | + | 11.3381i | −0.550424 | + | 0.611308i | ||||
\(345\) | −7.09666 | − | 10.2008i | −0.382071 | − | 0.549190i | ||||
\(346\) | −1.48899 | − | 1.65369i | −0.0800485 | − | 0.0889029i | ||||
\(347\) | 5.32071 | + | 5.90924i | 0.285630 | + | 0.317225i | 0.868836 | − | 0.495100i | \(-0.164869\pi\) |
−0.583206 | + | 0.812325i | \(0.698202\pi\) | |||||||
\(348\) | −5.01235 | − | 1.42173i | −0.268690 | − | 0.0762125i | ||||
\(349\) | 3.94486 | + | 6.83270i | 0.211163 | + | 0.365746i | 0.952079 | − | 0.305852i | \(-0.0989414\pi\) |
−0.740915 | + | 0.671598i | \(0.765608\pi\) | |||||||
\(350\) | 3.58265 | + | 8.30922i | 0.191501 | + | 0.444147i | ||||
\(351\) | −2.74337 | + | 28.4541i | −0.146430 | + | 1.51877i | ||||
\(352\) | −8.31954 | + | 6.04450i | −0.443433 | + | 0.322173i | ||||
\(353\) | −3.90052 | + | 0.829082i | −0.207604 | + | 0.0441276i | −0.310540 | − | 0.950560i | \(-0.600510\pi\) |
0.102936 | + | 0.994688i | \(0.467176\pi\) | |||||||
\(354\) | 12.2365 | − | 4.49349i | 0.650361 | − | 0.238826i | ||||
\(355\) | −2.47096 | + | 15.0268i | −0.131145 | + | 0.797538i | ||||
\(356\) | 4.35607 | + | 0.925911i | 0.230871 | + | 0.0490732i | ||||
\(357\) | 5.88718 | − | 14.6924i | 0.311582 | − | 0.777606i | ||||
\(358\) | 8.46704 | − | 9.40360i | 0.447497 | − | 0.496996i | ||||
\(359\) | −4.35344 | − | 3.16296i | −0.229766 | − | 0.166935i | 0.466946 | − | 0.884286i | \(-0.345354\pi\) |
−0.696712 | + | 0.717351i | \(0.745354\pi\) | |||||||
\(360\) | −12.9262 | − | 5.48933i | −0.681268 | − | 0.289313i | ||||
\(361\) | −1.00678 | + | 0.731470i | −0.0529885 | + | 0.0384984i | ||||
\(362\) | −1.37973 | + | 13.1273i | −0.0725170 | + | 0.689953i | ||||
\(363\) | 11.3273 | + | 5.98122i | 0.594528 | + | 0.313933i | ||||
\(364\) | −3.06164 | − | 29.1296i | −0.160474 | − | 1.52681i | ||||
\(365\) | −0.341537 | + | 0.337531i | −0.0178769 | + | 0.0176672i | ||||
\(366\) | −0.915004 | − | 0.483156i | −0.0478280 | − | 0.0252550i | ||||
\(367\) | 7.71153 | − | 8.56452i | 0.402539 | − | 0.447064i | −0.507460 | − | 0.861675i | \(-0.669416\pi\) |
0.909999 | + | 0.414611i | \(0.136082\pi\) | |||||||
\(368\) | −6.92669 | −0.361079 | ||||||||
\(369\) | −1.38612 | + | 2.88383i | −0.0721587 | + | 0.150126i | ||||
\(370\) | −4.50048 | − | 5.62516i | −0.233969 | − | 0.292438i | ||||
\(371\) | −9.88380 | + | 2.10087i | −0.513141 | + | 0.109072i | ||||
\(372\) | −16.7587 | − | 13.9805i | −0.868898 | − | 0.724856i | ||||
\(373\) | 1.50209 | + | 14.2914i | 0.0777751 | + | 0.739981i | 0.962024 | + | 0.272965i | \(0.0880043\pi\) |
−0.884249 | + | 0.467016i | \(0.845329\pi\) | |||||||
\(374\) | −1.55496 | + | 2.69327i | −0.0804049 | + | 0.139265i | ||||
\(375\) | −13.4154 | + | 13.9652i | −0.692769 | + | 0.721160i | ||||
\(376\) | −7.86250 | − | 13.6183i | −0.405478 | − | 0.702308i | ||||
\(377\) | −7.98994 | + | 5.80503i | −0.411503 | + | 0.298974i | ||||
\(378\) | −8.62326 | − | 3.75077i | −0.443533 | − | 0.192919i | ||||
\(379\) | 2.36999 | − | 7.29407i | 0.121738 | − | 0.374671i | −0.871555 | − | 0.490298i | \(-0.836888\pi\) |
0.993293 | + | 0.115627i | \(0.0368878\pi\) | |||||||
\(380\) | −6.13414 | + | 15.7025i | −0.314675 | + | 0.805521i | ||||
\(381\) | 9.95827 | − | 14.8555i | 0.510177 | − | 0.761068i | ||||
\(382\) | 2.15676 | − | 3.73561i | 0.110349 | − | 0.191131i | ||||
\(383\) | 15.0744 | + | 3.20417i | 0.770268 | + | 0.163726i | 0.576251 | − | 0.817273i | \(-0.304515\pi\) |
0.194017 | + | 0.980998i | \(0.437848\pi\) | |||||||
\(384\) | −16.9131 | + | 10.6360i | −0.863094 | + | 0.542768i | ||||
\(385\) | 3.41430 | + | 13.0498i | 0.174009 | + | 0.665079i | ||||
\(386\) | −5.30064 | + | 3.85114i | −0.269796 | + | 0.196018i | ||||
\(387\) | −20.5875 | − | 7.35981i | −1.04652 | − | 0.374120i | ||||
\(388\) | 18.2921 | + | 13.2900i | 0.928642 | + | 0.674698i | ||||
\(389\) | 6.57053 | + | 2.92539i | 0.333139 | + | 0.148323i | 0.566488 | − | 0.824070i | \(-0.308302\pi\) |
−0.233349 | + | 0.972393i | \(0.574968\pi\) | |||||||
\(390\) | −10.6317 | + | 5.85120i | −0.538358 | + | 0.296287i | ||||
\(391\) | −8.42992 | + | 3.75324i | −0.426319 | + | 0.189810i | ||||
\(392\) | 6.33992 | + | 1.34759i | 0.320214 | + | 0.0680636i | ||||
\(393\) | −5.95824 | + | 0.854807i | −0.300553 | + | 0.0431193i | ||||
\(394\) | −1.29018 | + | 1.43289i | −0.0649985 | + | 0.0721882i | ||||
\(395\) | 10.2543 | − | 3.86700i | 0.515948 | − | 0.194570i | ||||
\(396\) | −8.12230 | − | 5.01084i | −0.408161 | − | 0.251804i | ||||
\(397\) | 3.92783 | − | 12.0886i | 0.197132 | − | 0.606710i | −0.802813 | − | 0.596231i | \(-0.796664\pi\) |
0.999945 | − | 0.0104793i | \(-0.00333573\pi\) | |||||||
\(398\) | −8.55552 | − | 3.80916i | −0.428850 | − | 0.190936i | ||||
\(399\) | −9.21022 | + | 22.9857i | −0.461088 | + | 1.15072i | ||||
\(400\) | 2.11953 | + | 10.5841i | 0.105976 | + | 0.529205i | ||||
\(401\) | 13.8845 | − | 24.0487i | 0.693361 | − | 1.20094i | −0.277370 | − | 0.960763i | \(-0.589463\pi\) |
0.970730 | − | 0.240173i | \(-0.0772040\pi\) | |||||||
\(402\) | −12.3282 | − | 3.49684i | −0.614877 | − | 0.174406i | ||||
\(403\) | −40.4659 | + | 8.60130i | −2.01575 | + | 0.428461i | ||||
\(404\) | −6.84358 | + | 21.0624i | −0.340481 | + | 1.04789i | ||||
\(405\) | 0.239109 | − | 20.1232i | 0.0118814 | − | 0.999929i | ||||
\(406\) | −1.00395 | − | 3.08983i | −0.0498250 | − | 0.153346i | ||||
\(407\) | −5.36953 | − | 9.30029i | −0.266158 | − | 0.460998i | ||||
\(408\) | −5.80667 | + | 8.66222i | −0.287473 | + | 0.428844i | ||||
\(409\) | −5.32589 | + | 2.37124i | −0.263348 | + | 0.117250i | −0.534164 | − | 0.845381i | \(-0.679373\pi\) |
0.270815 | + | 0.962631i | \(0.412707\pi\) | |||||||
\(410\) | −1.34284 | + | 0.204572i | −0.0663182 | + | 0.0101031i | ||||
\(411\) | −1.23924 | − | 4.91030i | −0.0611273 | − | 0.242207i | ||||
\(412\) | −0.957536 | + | 9.11034i | −0.0471744 | + | 0.448834i | ||||
\(413\) | −33.9672 | − | 24.6786i | −1.67142 | − | 1.21436i | ||||
\(414\) | 2.08283 | + | 5.07125i | 0.102365 | + | 0.249238i | ||||
\(415\) | −18.4115 | + | 27.9884i | −0.903787 | + | 1.37390i | ||||
\(416\) | −3.11479 | + | 29.6353i | −0.152715 | + | 1.45299i | ||||
\(417\) | 3.46823 | + | 7.05948i | 0.169840 | + | 0.345704i | ||||
\(418\) | 2.43266 | − | 4.21349i | 0.118985 | − | 0.206089i | ||||
\(419\) | 18.2995 | + | 3.88968i | 0.893988 | + | 0.190023i | 0.631927 | − | 0.775028i | \(-0.282264\pi\) |
0.262062 | + | 0.965051i | \(0.415598\pi\) | |||||||
\(420\) | 3.87314 | + | 20.2532i | 0.188990 | + | 0.988254i | ||||
\(421\) | 36.0784 | − | 7.66869i | 1.75835 | − | 0.373749i | 0.788043 | − | 0.615620i | \(-0.211095\pi\) |
0.970308 | + | 0.241871i | \(0.0777612\pi\) | |||||||
\(422\) | −1.66518 | + | 5.12491i | −0.0810598 | + | 0.249477i | ||||
\(423\) | 13.7715 | − | 17.8366i | 0.669591 | − | 0.867244i | ||||
\(424\) | 6.65749 | 0.323316 | ||||||||
\(425\) | 8.31453 | + | 11.7326i | 0.403314 | + | 0.569115i | ||||
\(426\) | 2.49893 | − | 6.23649i | 0.121073 | − | 0.302159i | ||||
\(427\) | 0.348369 | + | 3.31451i | 0.0168588 | + | 0.160400i | ||||
\(428\) | −13.2912 | − | 14.7614i | −0.642456 | − | 0.713520i | ||||
\(429\) | −16.9818 | + | 6.23608i | −0.819889 | + | 0.301081i | ||||
\(430\) | −2.34932 | − | 8.97934i | −0.113294 | − | 0.433022i | ||||
\(431\) | −11.1912 | − | 34.4429i | −0.539060 | − | 1.65906i | −0.734709 | − | 0.678383i | \(-0.762681\pi\) |
0.195648 | − | 0.980674i | \(-0.437319\pi\) | |||||||
\(432\) | −9.13170 | − | 6.51529i | −0.439349 | − | 0.313467i | ||||
\(433\) | −11.0444 | − | 33.9911i | −0.530758 | − | 1.63351i | −0.752640 | − | 0.658433i | \(-0.771220\pi\) |
0.221881 | − | 0.975074i | \(-0.428780\pi\) | |||||||
\(434\) | 1.42253 | − | 13.5345i | 0.0682837 | − | 0.649676i | ||||
\(435\) | 5.26113 | − | 4.54551i | 0.252252 | − | 0.217940i | ||||
\(436\) | −0.681439 | − | 6.48346i | −0.0326350 | − | 0.310501i | ||||
\(437\) | 13.1882 | − | 5.87178i | 0.630879 | − | 0.280885i | ||||
\(438\) | 0.179333 | − | 0.112776i | 0.00856887 | − | 0.00538865i | ||||
\(439\) | −13.7122 | − | 6.10506i | −0.654447 | − | 0.291379i | 0.0525255 | − | 0.998620i | \(-0.483273\pi\) |
−0.706973 | + | 0.707241i | \(0.749940\pi\) | |||||||
\(440\) | −0.412765 | − | 8.87776i | −0.0196778 | − | 0.423230i | ||||
\(441\) | 1.66532 | + | 9.13773i | 0.0793010 | + | 0.435130i | ||||
\(442\) | 2.78473 | + | 8.57053i | 0.132456 | + | 0.407659i | ||||
\(443\) | 2.61065 | + | 4.52178i | 0.124036 | + | 0.214836i | 0.921356 | − | 0.388721i | \(-0.127083\pi\) |
−0.797320 | + | 0.603557i | \(0.793750\pi\) | |||||||
\(444\) | −7.23875 | − | 14.7343i | −0.343536 | − | 0.699257i | ||||
\(445\) | −4.22704 | + | 4.17746i | −0.200381 | + | 0.198031i | ||||
\(446\) | 0.472694 | + | 0.524980i | 0.0223827 | + | 0.0248585i | ||||
\(447\) | −6.32329 | + | 36.4724i | −0.299081 | + | 1.72509i | ||||
\(448\) | 3.57808 | + | 1.59306i | 0.169048 | + | 0.0752652i | ||||
\(449\) | −7.57157 | −0.357324 | −0.178662 | − | 0.983910i | \(-0.557177\pi\) | ||||
−0.178662 | + | 0.983910i | \(0.557177\pi\) | |||||||
\(450\) | 7.11162 | − | 4.73437i | 0.335245 | − | 0.223180i | ||||
\(451\) | −2.02490 | −0.0953486 | ||||||||
\(452\) | 31.9316 | + | 14.2169i | 1.50193 | + | 0.668704i | ||||
\(453\) | 27.6990 | + | 23.1072i | 1.30141 | + | 1.08567i | ||||
\(454\) | −9.22262 | − | 10.2428i | −0.432839 | − | 0.480717i | ||||
\(455\) | 34.7216 | + | 17.9503i | 1.62778 | + | 0.841525i | ||||
\(456\) | 9.08428 | − | 13.5517i | 0.425410 | − | 0.634615i | ||||
\(457\) | 17.7105 | + | 30.6754i | 0.828461 | + | 1.43494i | 0.899245 | + | 0.437445i | \(0.144117\pi\) |
−0.0707840 | + | 0.997492i | \(0.522550\pi\) | |||||||
\(458\) | 0.658892 | + | 2.02786i | 0.0307880 | + | 0.0947557i | ||||
\(459\) | −14.6438 | − | 2.98120i | −0.683514 | − | 0.139150i | ||||
\(460\) | 6.60675 | − | 10.0433i | 0.308041 | − | 0.468271i | ||||
\(461\) | −13.0894 | − | 5.82776i | −0.609633 | − | 0.271426i | 0.0786113 | − | 0.996905i | \(-0.474951\pi\) |
−0.688244 | + | 0.725479i | \(0.741618\pi\) | |||||||
\(462\) | −0.224744 | − | 5.94683i | −0.0104560 | − | 0.276672i | ||||
\(463\) | −11.2969 | + | 5.02972i | −0.525013 | + | 0.233751i | −0.652089 | − | 0.758142i | \(-0.726107\pi\) |
0.127076 | + | 0.991893i | \(0.459441\pi\) | |||||||
\(464\) | −0.405107 | − | 3.85434i | −0.0188066 | − | 0.178933i | ||||
\(465\) | 27.8776 | − | 8.43070i | 1.29279 | − | 0.390965i | ||||
\(466\) | −0.531243 | + | 5.05444i | −0.0246094 | + | 0.234142i | ||||
\(467\) | −6.79392 | − | 20.9095i | −0.314385 | − | 0.967578i | −0.976007 | − | 0.217740i | \(-0.930131\pi\) |
0.661622 | − | 0.749838i | \(-0.269869\pi\) | |||||||
\(468\) | −26.5390 | + | 7.77494i | −1.22677 | + | 0.359397i | ||||
\(469\) | 12.7545 | + | 39.2543i | 0.588948 | + | 1.81260i | ||||
\(470\) | 9.55014 | + | 0.557011i | 0.440515 | + | 0.0256930i | ||||
\(471\) | −3.61000 | + | 20.8223i | −0.166340 | + | 0.959442i | ||||
\(472\) | 18.5099 | + | 20.5573i | 0.851988 | + | 0.946228i | ||||
\(473\) | −1.44628 | − | 13.7605i | −0.0665001 | − | 0.632707i | ||||
\(474\) | −4.78595 | + | 0.686623i | −0.219826 | + | 0.0315376i | ||||
\(475\) | −13.0077 | − | 18.3551i | −0.596835 | − | 0.842191i | ||||
\(476\) | 15.3122 | 0.701833 | ||||||||
\(477\) | 3.62455 | + | 8.82501i | 0.165957 | + | 0.404070i | ||||
\(478\) | 1.14601 | − | 3.52705i | 0.0524172 | − | 0.161324i | ||||
\(479\) | 5.00389 | − | 1.06361i | 0.228633 | − | 0.0485975i | −0.0921702 | − | 0.995743i | \(-0.529380\pi\) |
0.320804 | + | 0.947146i | \(0.396047\pi\) | |||||||
\(480\) | 0.429701 | − | 20.9738i | 0.0196131 | − | 0.957317i | ||||
\(481\) | −30.4385 | − | 6.46990i | −1.38788 | − | 0.295002i | ||||
\(482\) | −7.17998 | + | 12.4361i | −0.327039 | + | 0.566448i | ||||
\(483\) | 9.83219 | − | 14.6674i | 0.447380 | − | 0.667388i | ||||
\(484\) | −1.29532 | + | 12.3241i | −0.0588780 | + | 0.560187i | ||||
\(485\) | −28.2323 | + | 10.6467i | −1.28196 | + | 0.483443i | ||||
\(486\) | −2.02418 | + | 8.64473i | −0.0918185 | + | 0.392133i | ||||
\(487\) | −5.27361 | − | 3.83150i | −0.238970 | − | 0.173622i | 0.461854 | − | 0.886956i | \(-0.347184\pi\) |
−0.700824 | + | 0.713334i | \(0.747184\pi\) | |||||||
\(488\) | 0.229525 | − | 2.18379i | 0.0103901 | − | 0.0988554i | ||||
\(489\) | 4.06078 | + | 1.15182i | 0.183635 | + | 0.0520870i | ||||
\(490\) | −2.80458 | + | 2.77168i | −0.126698 | + | 0.125212i | ||||
\(491\) | −14.1331 | + | 6.29244i | −0.637816 | + | 0.283974i | −0.700057 | − | 0.714087i | \(-0.746842\pi\) |
0.0622407 | + | 0.998061i | \(0.480175\pi\) | |||||||
\(492\) | −3.08845 | − | 0.207067i | −0.139238 | − | 0.00933531i | ||||
\(493\) | −2.58150 | − | 4.47130i | −0.116265 | − | 0.201377i | ||||
\(494\) | −4.35659 | − | 13.4082i | −0.196012 | − | 0.603264i | ||||
\(495\) | 11.5434 | − | 5.38049i | 0.518839 | − | 0.241835i | ||||
\(496\) | 5.01669 | − | 15.4398i | 0.225256 | − | 0.693267i | ||||
\(497\) | −21.1668 | + | 4.49914i | −0.949460 | + | 0.201814i | ||||
\(498\) | 10.6024 | − | 10.2975i | 0.475105 | − | 0.461443i | ||||
\(499\) | 4.06654 | − | 7.04346i | 0.182044 | − | 0.315309i | −0.760533 | − | 0.649300i | \(-0.775062\pi\) |
0.942576 | + | 0.333991i | \(0.108395\pi\) | |||||||
\(500\) | −17.3680 | − | 7.02204i | −0.776719 | − | 0.314035i | ||||
\(501\) | −7.33967 | + | 1.05300i | −0.327912 | + | 0.0470444i | ||||
\(502\) | 14.6759 | + | 6.53411i | 0.655015 | + | 0.291632i | ||||
\(503\) | −2.99913 | + | 9.23038i | −0.133725 | + | 0.411562i | −0.995389 | − | 0.0959155i | \(-0.969422\pi\) |
0.861665 | + | 0.507478i | \(0.169422\pi\) | |||||||
\(504\) | 0.582048 | − | 19.9471i | 0.0259265 | − | 0.888515i | ||||
\(505\) | −18.4631 | − | 23.0770i | −0.821596 | − | 1.02691i | ||||
\(506\) | −2.32152 | + | 2.57831i | −0.103204 | + | 0.114620i | ||||
\(507\) | −11.1228 | + | 27.7589i | −0.493983 | + | 1.23282i | ||||
\(508\) | 16.9235 | + | 3.59719i | 0.750857 | + | 0.159600i | ||||
\(509\) | −24.7092 | + | 11.0012i | −1.09522 | + | 0.487622i | −0.873171 | − | 0.487415i | \(-0.837940\pi\) |
−0.222045 | + | 0.975036i | \(0.571273\pi\) | |||||||
\(510\) | −2.46115 | − | 5.84732i | −0.108981 | − | 0.258924i | ||||
\(511\) | −0.623344 | − | 0.277531i | −0.0275751 | − | 0.0122772i | ||||
\(512\) | −16.7729 | − | 12.1862i | −0.741265 | − | 0.538561i | ||||
\(513\) | 22.9096 | + | 4.66395i | 1.01148 | + | 0.205919i | ||||
\(514\) | −12.5351 | + | 9.10730i | −0.552901 | + | 0.401706i | ||||
\(515\) | −9.45475 | − | 7.74909i | −0.416626 | − | 0.341466i | ||||
\(516\) | −0.798772 | − | 21.1359i | −0.0351640 | − | 0.930455i | ||||
\(517\) | 13.9492 | + | 2.96498i | 0.613483 | + | 0.130400i | ||||
\(518\) | 5.11836 | − | 8.86527i | 0.224888 | − | 0.389517i | ||||
\(519\) | 6.75194 | + | 0.452688i | 0.296377 | + | 0.0198708i | ||||
\(520\) | −19.9178 | − | 16.3246i | −0.873452 | − | 0.715879i | ||||
\(521\) | −9.60176 | + | 29.5512i | −0.420661 | + | 1.29466i | 0.486428 | + | 0.873721i | \(0.338300\pi\) |
−0.907088 | + | 0.420940i | \(0.861700\pi\) | |||||||
\(522\) | −2.70007 | + | 1.45557i | −0.118179 | + | 0.0637088i | ||||
\(523\) | 14.8951 | − | 10.8219i | 0.651315 | − | 0.473208i | −0.212404 | − | 0.977182i | \(-0.568129\pi\) |
0.863719 | + | 0.503974i | \(0.168129\pi\) | |||||||
\(524\) | −2.91154 | − | 5.04293i | −0.127191 | − | 0.220301i | ||||
\(525\) | −25.4206 | − | 10.5356i | −1.10945 | − | 0.459812i | ||||
\(526\) | −4.36871 | + | 7.56683i | −0.190485 | + | 0.329929i | ||||
\(527\) | −2.26067 | − | 21.5088i | −0.0984763 | − | 0.936939i | ||||
\(528\) | 1.21269 | − | 6.99475i | 0.0527756 | − | 0.304407i | ||||
\(529\) | 12.4278 | − | 2.64161i | 0.540340 | − | 0.114853i | ||||
\(530\) | −2.22585 | + | 3.38364i | −0.0966846 | + | 0.146976i | ||||
\(531\) | −17.1730 | + | 35.7284i | −0.745243 | + | 1.55048i | ||||
\(532\) | −23.9552 | −1.03859 | ||||||||
\(533\) | −3.92615 | + | 4.36043i | −0.170060 | + | 0.188871i | ||||
\(534\) | 2.21952 | − | 1.39577i | 0.0960479 | − | 0.0604010i | ||||
\(535\) | 26.2051 | − | 3.99217i | 1.13295 | − | 0.172596i | ||||
\(536\) | −2.84254 | − | 27.0450i | −0.122779 | − | 1.16816i | ||||
\(537\) | 1.45323 | + | 38.4532i | 0.0627116 | + | 1.65938i | ||||
\(538\) | −1.04286 | + | 9.92211i | −0.0449607 | + | 0.427772i | ||||
\(539\) | −4.75543 | + | 3.45502i | −0.204831 | + | 0.148818i | ||||
\(540\) | 18.1567 | − | 7.02609i | 0.781340 | − | 0.302355i | ||||
\(541\) | 2.72761 | + | 1.98173i | 0.117269 | + | 0.0852011i | 0.644874 | − | 0.764289i | \(-0.276910\pi\) |
−0.527605 | + | 0.849490i | \(0.676910\pi\) | |||||||
\(542\) | −2.84775 | + | 3.16275i | −0.122321 | + | 0.135852i | ||||
\(543\) | −24.8035 | − | 31.5601i | −1.06442 | − | 1.35437i | ||||
\(544\) | −15.2376 | − | 3.23885i | −0.653306 | − | 0.138864i | ||||
\(545\) | 7.72809 | + | 3.99526i | 0.331035 | + | 0.171138i | ||||
\(546\) | −13.2417 | − | 11.0466i | −0.566693 | − | 0.472750i | ||||
\(547\) | 24.5702 | − | 5.22256i | 1.05055 | − | 0.223301i | 0.349884 | − | 0.936793i | \(-0.386221\pi\) |
0.700663 | + | 0.713493i | \(0.252888\pi\) | |||||||
\(548\) | 3.96355 | − | 2.87969i | 0.169314 | − | 0.123014i | ||||
\(549\) | 3.01974 | − | 0.884671i | 0.128879 | − | 0.0377569i | ||||
\(550\) | 4.65008 | + | 2.75838i | 0.198280 | + | 0.117618i | ||||
\(551\) | 4.03865 | + | 6.99514i | 0.172052 | + | 0.298003i | ||||
\(552\) | −8.34563 | + | 8.10567i | −0.355214 | + | 0.345000i | ||||
\(553\) | 10.4203 | + | 11.5729i | 0.443116 | + | 0.492131i | ||||
\(554\) | 2.13873 | + | 2.37530i | 0.0908661 | + | 0.100917i | ||||
\(555\) | 21.7360 | + | 2.73575i | 0.922640 | + | 0.116126i | ||||
\(556\) | −5.09147 | + | 5.65465i | −0.215926 | + | 0.239811i | ||||
\(557\) | −11.3371 | −0.480368 | −0.240184 | − | 0.970727i | \(-0.577208\pi\) | ||||
−0.240184 | + | 0.970727i | \(0.577208\pi\) | |||||||
\(558\) | −12.8124 | + | 0.969806i | −0.542394 | + | 0.0410552i | ||||
\(559\) | −32.4361 | − | 23.5662i | −1.37190 | − | 0.996745i | ||||
\(560\) | −12.9130 | + | 8.27793i | −0.545675 | + | 0.349806i | ||||
\(561\) | −2.31425 | − | 9.16985i | −0.0977077 | − | 0.387151i | ||||
\(562\) | 5.28814 | − | 2.35443i | 0.223067 | − | 0.0993157i | ||||
\(563\) | 36.9447 | − | 16.4488i | 1.55703 | − | 0.693236i | 0.565700 | − | 0.824611i | \(-0.308606\pi\) |
0.991333 | + | 0.131375i | \(0.0419392\pi\) | |||||||
\(564\) | 20.9726 | + | 5.94876i | 0.883105 | + | 0.250488i | ||||
\(565\) | −39.2689 | + | 25.1734i | −1.65205 | + | 1.05905i | ||||
\(566\) | −5.46041 | − | 3.96722i | −0.229518 | − | 0.166755i | ||||
\(567\) | 26.7583 | − | 10.0883i | 1.12374 | − | 0.423669i | ||||
\(568\) | 14.2574 | 0.598229 | ||||||||
\(569\) | 0.647023 | − | 0.718591i | 0.0271246 | − | 0.0301249i | −0.729430 | − | 0.684056i | \(-0.760215\pi\) |
0.756554 | + | 0.653931i | \(0.226881\pi\) | |||||||
\(570\) | 3.85035 | + | 9.14787i | 0.161274 | + | 0.383162i | ||||
\(571\) | −1.81559 | − | 2.01642i | −0.0759801 | − | 0.0843844i | 0.703956 | − | 0.710243i | \(-0.251415\pi\) |
−0.779936 | + | 0.625859i | \(0.784749\pi\) | |||||||
\(572\) | −11.7105 | − | 13.0058i | −0.489640 | − | 0.543800i | ||||
\(573\) | 3.20991 | + | 12.7188i | 0.134096 | + | 0.531334i | ||||
\(574\) | −0.965090 | − | 1.67159i | −0.0402821 | − | 0.0697706i | ||||
\(575\) | 6.35174 | + | 14.7316i | 0.264886 | + | 0.614349i | ||||
\(576\) | 0.874029 | − | 3.59321i | 0.0364179 | − | 0.149717i | ||||
\(577\) | 13.0220 | − | 9.46105i | 0.542114 | − | 0.393869i | −0.282756 | − | 0.959192i | \(-0.591249\pi\) |
0.824870 | + | 0.565323i | \(0.191249\pi\) | |||||||
\(578\) | 4.86281 | − | 1.03362i | 0.202266 | − | 0.0429930i | ||||
\(579\) | 3.40361 | − | 19.6319i | 0.141449 | − | 0.815873i | ||||
\(580\) | 5.97496 | + | 3.08893i | 0.248097 | + | 0.128261i | ||||
\(581\) | −46.5648 | − | 9.89764i | −1.93183 | − | 0.410623i | ||||
\(582\) | 13.1768 | − | 1.89043i | 0.546197 | − | 0.0783608i | ||||
\(583\) | −4.03993 | + | 4.48680i | −0.167317 | + | 0.185824i | ||||
\(584\) | 0.363702 | + | 0.264245i | 0.0150501 | + | 0.0109345i | ||||
\(585\) | 10.7956 | − | 35.2902i | 0.446343 | − | 1.45907i | ||||
\(586\) | −7.79514 | + | 5.66350i | −0.322014 | + | 0.233957i | ||||
\(587\) | 1.32848 | − | 12.6397i | 0.0548323 | − | 0.521695i | −0.932288 | − | 0.361716i | \(-0.882191\pi\) |
0.987121 | − | 0.159978i | \(-0.0511424\pi\) | |||||||
\(588\) | −7.60648 | + | 4.78344i | −0.313686 | + | 0.197266i | ||||
\(589\) | 3.53672 | + | 33.6496i | 0.145728 | + | 1.38651i | ||||
\(590\) | −16.6367 | + | 2.53449i | −0.684923 | + | 0.104343i | ||||
\(591\) | −0.221440 | − | 5.85939i | −0.00910880 | − | 0.241023i | ||||
\(592\) | 8.17108 | − | 9.07490i | 0.335829 | − | 0.372976i | ||||
\(593\) | 43.6874 | 1.79403 | 0.897014 | − | 0.442003i | \(-0.145732\pi\) | ||||
0.897014 | + | 0.442003i | \(0.145732\pi\) | |||||||
\(594\) | −5.48572 | + | 1.21544i | −0.225082 | + | 0.0498703i | ||||
\(595\) | −11.2300 | + | 17.0714i | −0.460385 | + | 0.699858i | ||||
\(596\) | −35.0276 | + | 7.44535i | −1.43479 | + | 0.304973i | ||||
\(597\) | 26.7343 | − | 9.81740i | 1.09416 | − | 0.401799i | ||||
\(598\) | 1.05087 | + | 9.99837i | 0.0429733 | + | 0.408864i | ||||
\(599\) | −1.44797 | + | 2.50795i | −0.0591624 | + | 0.102472i | −0.894090 | − | 0.447888i | \(-0.852176\pi\) |
0.834927 | + | 0.550360i | \(0.185510\pi\) | |||||||
\(600\) | 14.9393 | + | 10.2720i | 0.609895 | + | 0.419352i | ||||
\(601\) | −11.7991 | − | 20.4366i | −0.481295 | − | 0.833627i | 0.518475 | − | 0.855093i | \(-0.326500\pi\) |
−0.999770 | + | 0.0214662i | \(0.993167\pi\) | |||||||
\(602\) | 10.6702 | − | 7.75233i | 0.434884 | − | 0.315962i | ||||
\(603\) | 34.3026 | − | 18.4922i | 1.39691 | − | 0.753059i | ||||
\(604\) | −10.7835 | + | 33.1883i | −0.438776 | + | 1.35041i | ||||
\(605\) | −12.7900 | − | 10.4827i | −0.519987 | − | 0.426181i | ||||
\(606\) | 5.74931 | + | 11.7025i | 0.233550 | + | 0.475383i | ||||
\(607\) | −13.9749 | + | 24.2052i | −0.567224 | + | 0.982461i | 0.429615 | + | 0.903012i | \(0.358649\pi\) |
−0.996839 | + | 0.0794485i | \(0.974684\pi\) | |||||||
\(608\) | 23.8385 | + | 5.06703i | 0.966779 | + | 0.205495i | ||||
\(609\) | 8.73665 | + | 4.61327i | 0.354027 | + | 0.186939i | ||||
\(610\) | 1.03316 | + | 0.846777i | 0.0418315 | + | 0.0342850i | ||||
\(611\) | 33.4314 | − | 24.2893i | 1.35249 | − | 0.982640i | ||||
\(612\) | −2.59207 | − | 14.2229i | −0.104778 | − | 0.574925i | ||||
\(613\) | 13.2567 | + | 9.63154i | 0.535432 | + | 0.389014i | 0.822386 | − | 0.568930i | \(-0.192643\pi\) |
−0.286954 | + | 0.957944i | \(0.592643\pi\) | |||||||
\(614\) | −0.794972 | − | 0.353944i | −0.0320825 | − | 0.0142840i | ||||
\(615\) | 2.49593 | − | 3.29141i | 0.100646 | − | 0.132722i | ||||
\(616\) | 11.5370 | − | 5.13661i | 0.464840 | − | 0.206960i | ||||
\(617\) | −5.88161 | − | 1.25017i | −0.236785 | − | 0.0503301i | 0.0879908 | − | 0.996121i | \(-0.471955\pi\) |
−0.324775 | + | 0.945791i | \(0.605289\pi\) | |||||||
\(618\) | 3.33258 | + | 4.24038i | 0.134056 | + | 0.170573i | ||||
\(619\) | −16.3337 | + | 18.1404i | −0.656508 | + | 0.729126i | −0.975833 | − | 0.218519i | \(-0.929877\pi\) |
0.319325 | + | 0.947645i | \(0.396544\pi\) | |||||||
\(620\) | 17.6018 | + | 22.0005i | 0.706906 | + | 0.883563i | ||||
\(621\) | −15.2883 | − | 6.64980i | −0.613499 | − | 0.266847i | ||||
\(622\) | −1.61080 | + | 4.95753i | −0.0645872 | + | 0.198779i | ||||
\(623\) | −7.71482 | − | 3.43486i | −0.309088 | − | 0.137615i | ||||
\(624\) | −12.7112 | − | 16.1738i | −0.508856 | − | 0.647470i | ||||
\(625\) | 20.5665 | − | 14.2133i | 0.822660 | − | 0.568534i | ||||
\(626\) | 0.101662 | − | 0.176084i | 0.00406324 | − | 0.00703773i | ||||
\(627\) | 3.62054 | + | 14.3458i | 0.144590 | + | 0.572917i | ||||
\(628\) | −19.9974 | + | 4.25059i | −0.797985 | + | 0.169617i | ||||
\(629\) | 5.02711 | − | 15.4719i | 0.200444 | − | 0.616903i | ||||
\(630\) | 9.94343 | + | 6.96489i | 0.396156 | + | 0.277488i | ||||
\(631\) | 9.64049 | + | 29.6704i | 0.383782 | + | 1.18116i | 0.937360 | + | 0.348362i | \(0.113262\pi\) |
−0.553578 | + | 0.832797i | \(0.686738\pi\) | |||||||
\(632\) | −5.13015 | − | 8.88569i | −0.204067 | − | 0.353454i | ||||
\(633\) | −7.22583 | − | 14.7079i | −0.287201 | − | 0.584588i | ||||
\(634\) | 9.33368 | − | 4.15562i | 0.370688 | − | 0.165041i | ||||
\(635\) | −16.4222 | + | 16.2295i | −0.651694 | + | 0.644050i | ||||
\(636\) | −6.62068 | + | 6.43031i | −0.262527 | + | 0.254978i | ||||
\(637\) | −1.78041 | + | 16.9394i | −0.0705423 | + | 0.671165i | ||||
\(638\) | −1.57047 | − | 1.14101i | −0.0621754 | − | 0.0451731i | ||||
\(639\) | 7.76221 | + | 18.8993i | 0.307068 | + | 0.747646i | ||||
\(640\) | 24.1343 | − | 9.10131i | 0.953992 | − | 0.359761i | ||||
\(641\) | 0.262265 | − | 2.49529i | 0.0103589 | − | 0.0985579i | −0.988121 | − | 0.153679i | \(-0.950888\pi\) |
0.998480 | + | 0.0551211i | \(0.0175545\pi\) | |||||||
\(642\) | −11.6683 | − | 0.782312i | −0.460512 | − | 0.0308754i | ||||
\(643\) | 7.75566 | − | 13.4332i | 0.305854 | − | 0.529754i | −0.671597 | − | 0.740916i | \(-0.734392\pi\) |
0.977451 | + | 0.211162i | \(0.0677249\pi\) | |||||||
\(644\) | 16.7092 | + | 3.55165i | 0.658434 | + | 0.139955i | ||||
\(645\) | 24.1499 | + | 14.6106i | 0.950903 | + | 0.575291i | ||||
\(646\) | 7.20918 | − | 1.53236i | 0.283641 | − | 0.0602899i | ||||
\(647\) | −3.80099 | + | 11.6982i | −0.149432 | + | 0.459905i | −0.997554 | − | 0.0698957i | \(-0.977733\pi\) |
0.848122 | + | 0.529801i | \(0.177733\pi\) | |||||||
\(648\) | −18.6266 | + | 2.83604i | −0.731721 | + | 0.111410i | ||||
\(649\) | −25.0869 | −0.984745 | ||||||||
\(650\) | 14.9561 | − | 4.66520i | 0.586628 | − | 0.182984i | ||||
\(651\) | 25.5730 | + | 32.5391i | 1.00228 | + | 1.27531i | ||||
\(652\) | 0.426833 | + | 4.06104i | 0.0167161 | + | 0.159043i | ||||
\(653\) | −11.6984 | − | 12.9924i | −0.457792 | − | 0.508430i | 0.469415 | − | 0.882978i | \(-0.344465\pi\) |
−0.927208 | + | 0.374548i | \(0.877798\pi\) | |||||||
\(654\) | −2.94725 | − | 2.45867i | −0.115246 | − | 0.0961414i | ||||
\(655\) | 7.75763 | + | 0.452463i | 0.303116 | + | 0.0176792i | ||||
\(656\) | −0.711521 | − | 2.18984i | −0.0277802 | − | 0.0854987i | ||||
\(657\) | −0.152266 | + | 0.625979i | −0.00594047 | + | 0.0244218i | ||||
\(658\) | 4.20069 | + | 12.9284i | 0.163760 | + | 0.504002i | ||||
\(659\) | −0.260923 | + | 2.48251i | −0.0101641 | + | 0.0967050i | −0.998428 | − | 0.0560523i | \(-0.982149\pi\) |
0.988264 | + | 0.152757i | \(0.0488153\pi\) | |||||||
\(660\) | 8.98530 | + | 8.43000i | 0.349752 | + | 0.328137i | ||||
\(661\) | 0.585257 | + | 5.56835i | 0.0227639 | + | 0.216584i | 0.999990 | + | 0.00438491i | \(0.00139577\pi\) |
−0.977227 | + | 0.212199i | \(0.931938\pi\) | |||||||
\(662\) | 6.79930 | − | 3.02724i | 0.264262 | − | 0.117657i | ||||
\(663\) | −24.2336 | − | 12.7962i | −0.941155 | − | 0.496965i | ||||
\(664\) | 28.6533 | + | 12.7573i | 1.11196 | + | 0.495077i | ||||
\(665\) | 17.5688 | − | 26.7074i | 0.681290 | − | 1.03567i | ||||
\(666\) | −9.10103 | − | 3.25351i | −0.352658 | − | 0.126071i | ||||
\(667\) | −1.77991 | − | 5.47801i | −0.0689185 | − | 0.212109i | ||||
\(668\) | −3.58658 | − | 6.21214i | −0.138769 | − | 0.240355i | ||||
\(669\) | −2.14347 | − | 0.143711i | −0.0828714 | − | 0.00555617i | ||||
\(670\) | 14.6958 | + | 7.59744i | 0.567750 | + | 0.293515i | ||||
\(671\) | 1.33248 | + | 1.47987i | 0.0514397 | + | 0.0571296i | ||||
\(672\) | 27.9827 | − | 10.2758i | 1.07946 | − | 0.396399i | ||||
\(673\) | 19.8035 | + | 8.81709i | 0.763369 | + | 0.339874i | 0.751220 | − | 0.660052i | \(-0.229466\pi\) |
0.0121495 | + | 0.999926i | \(0.496133\pi\) | |||||||
\(674\) | 13.2928 | 0.512020 | ||||||||
\(675\) | −5.48287 | + | 25.3956i | −0.211036 | + | 0.977478i | ||||
\(676\) | −28.9298 | −1.11269 | ||||||||
\(677\) | 4.07701 | + | 1.81520i | 0.156692 | + | 0.0697638i | 0.483584 | − | 0.875298i | \(-0.339335\pi\) |
−0.326892 | + | 0.945062i | \(0.606001\pi\) | |||||||
\(678\) | 19.3174 | − | 7.09376i | 0.741881 | − | 0.272434i | ||||
\(679\) | −28.6895 | − | 31.8629i | −1.10100 | − | 1.22279i | ||||
\(680\) | 9.57578 | − | 9.46346i | 0.367214 | − | 0.362907i | ||||
\(681\) | 41.8207 | + | 2.80390i | 1.60257 | + | 0.107446i | ||||
\(682\) | −4.06575 | − | 7.04209i | −0.155686 | − | 0.269656i | ||||
\(683\) | 8.58695 | + | 26.4279i | 0.328570 | + | 1.01124i | 0.969803 | + | 0.243889i | \(0.0784233\pi\) |
−0.641233 | + | 0.767346i | \(0.721577\pi\) | |||||||
\(684\) | 4.05518 | + | 22.2510i | 0.155054 | + | 0.850789i | ||||
\(685\) | 0.303648 | + | 6.53088i | 0.0116018 | + | 0.249532i | ||||
\(686\) | 6.45426 | + | 2.87362i | 0.246425 | + | 0.109715i | ||||
\(687\) | −5.73388 | − | 3.02770i | −0.218761 | − | 0.115514i | ||||
\(688\) | 14.3731 | − | 6.39933i | 0.547970 | − | 0.243972i | ||||
\(689\) | 1.82873 | + | 17.3992i | 0.0696692 | + | 0.662858i | ||||
\(690\) | −1.32941 | − | 6.95166i | −0.0506097 | − | 0.264645i | ||||
\(691\) | 3.51242 | − | 33.4184i | 0.133619 | − | 1.27130i | −0.698060 | − | 0.716039i | \(-0.745953\pi\) |
0.831679 | − | 0.555257i | \(-0.187380\pi\) | |||||||
\(692\) | 2.02300 | + | 6.22614i | 0.0769028 | + | 0.236682i | ||||
\(693\) | 13.0901 | + | 12.4967i | 0.497252 | + | 0.474710i | ||||
\(694\) | 1.39952 | + | 4.30728i | 0.0531251 | + | 0.163502i | ||||
\(695\) | −2.57020 | − | 9.82355i | −0.0974932 | − | 0.372628i | ||||
\(696\) | −4.99847 | − | 4.16984i | −0.189466 | − | 0.158058i | ||||
\(697\) | −2.05250 | − | 2.27953i | −0.0777441 | − | 0.0863435i | ||||
\(698\) | 0.469715 | + | 4.46904i | 0.0177790 | + | 0.169156i | ||||
\(699\) | −9.55019 | − | 12.1517i | −0.361221 | − | 0.459619i | ||||
\(700\) | 0.314065 | − | 26.6187i | 0.0118705 | − | 1.00609i | ||||
\(701\) | 2.58517 | 0.0976406 | 0.0488203 | − | 0.998808i | \(-0.484454\pi\) | ||||
0.0488203 | + | 0.998808i | \(0.484454\pi\) | |||||||
\(702\) | −8.01913 | + | 14.1697i | −0.302662 | + | 0.534800i | ||||
\(703\) | −7.86469 | + | 24.2050i | −0.296622 | + | 0.912910i | ||||
\(704\) | 2.28912 | − | 0.486567i | 0.0862743 | − | 0.0183382i | ||||
\(705\) | −22.0135 | + | 19.0192i | −0.829078 | + | 0.716306i | ||||
\(706\) | −2.22158 | − | 0.472211i | −0.0836102 | − | 0.0177719i | ||||
\(707\) | 20.9979 | − | 36.3695i | 0.789709 | − | 1.36782i | ||||
\(708\) | −38.2634 | − | 2.56540i | −1.43803 | − | 0.0964136i | ||||
\(709\) | −4.81920 | + | 45.8516i | −0.180989 | + | 1.72199i | 0.407259 | + | 0.913313i | \(0.366484\pi\) |
−0.588248 | + | 0.808680i | \(0.700182\pi\) | |||||||
\(710\) | −4.76679 | + | 7.24628i | −0.178895 | + | 0.271948i | ||||
\(711\) | 8.98564 | − | 11.6381i | 0.336988 | − | 0.436462i | ||||
\(712\) | 4.50136 | + | 3.27043i | 0.168696 | + | 0.122565i | ||||
\(713\) | 2.52203 | − | 23.9955i | 0.0944508 | − | 0.898640i | ||||
\(714\) | 6.46686 | − | 6.28091i | 0.242016 | − | 0.235057i | ||||
\(715\) | 23.0885 | − | 3.51737i | 0.863461 | − | 0.131542i | ||||
\(716\) | −34.0082 | + | 15.1414i | −1.27094 | + | 0.565861i | ||||
\(717\) | 4.97294 | + | 10.1223i | 0.185718 | + | 0.378023i | ||||
\(718\) | −1.53244 | − | 2.65426i | −0.0571901 | − | 0.0990562i | ||||
\(719\) | −3.94501 | − | 12.1415i | −0.147124 | − | 0.452801i | 0.850154 | − | 0.526534i | \(-0.176509\pi\) |
−0.997278 | + | 0.0737330i | \(0.976509\pi\) | |||||||
\(720\) | 9.87497 | + | 10.5931i | 0.368018 | + | 0.394781i | ||||
\(721\) | 5.36795 | − | 16.5208i | 0.199913 | − | 0.615268i | ||||
\(722\) | −0.693300 | + | 0.147365i | −0.0258019 | + | 0.00548437i | ||||
\(723\) | −10.6860 | − | 42.3415i | −0.397416 | − | 1.57470i | ||||
\(724\) | 19.4161 | − | 33.6297i | 0.721593 | − | 1.24984i | ||||
\(725\) | −7.82585 | + | 4.39598i | −0.290645 | + | 0.163263i | ||||
\(726\) | 4.50818 | + | 5.73622i | 0.167314 | + | 0.212891i | ||||
\(727\) | −25.9153 | − | 11.5382i | −0.961144 | − | 0.427929i | −0.134661 | − | 0.990892i | \(-0.542995\pi\) |
−0.826482 | + | 0.562963i | \(0.809661\pi\) | |||||||
\(728\) | 11.3083 | − | 34.8035i | 0.419115 | − | 1.28990i | ||||
\(729\) | −13.9003 | − | 23.1470i | −0.514826 | − | 0.857295i | ||||
\(730\) | −0.255901 | + | 0.0965030i | −0.00947131 | + | 0.00357173i | ||||
\(731\) | 14.0249 | − | 15.5762i | 0.518729 | − | 0.576107i | ||||
\(732\) | 1.88101 | + | 2.39341i | 0.0695243 | + | 0.0884629i | ||||
\(733\) | −24.6701 | − | 5.24380i | −0.911212 | − | 0.193684i | −0.271626 | − | 0.962403i | \(-0.587561\pi\) |
−0.639587 | + | 0.768719i | \(0.720895\pi\) | |||||||
\(734\) | 5.99651 | − | 2.66982i | 0.221335 | − | 0.0985448i | ||||
\(735\) | 0.245616 | − | 11.9885i | 0.00905968 | − | 0.442204i | ||||
\(736\) | −15.8765 | − | 7.06868i | −0.585216 | − | 0.260555i | ||||
\(737\) | 19.9518 | + | 14.4958i | 0.734934 | + | 0.533961i | ||||
\(738\) | −1.38930 | + | 1.17940i | −0.0511407 | + | 0.0434144i | ||||
\(739\) | −35.4878 | + | 25.7834i | −1.30544 | + | 0.948457i | −0.999993 | − | 0.00375305i | \(-0.998805\pi\) |
−0.305445 | + | 0.952210i | \(0.598805\pi\) | |||||||
\(740\) | 5.36442 | + | 20.5033i | 0.197200 | + | 0.753717i | ||||
\(741\) | 37.9124 | + | 20.0191i | 1.39275 | + | 0.735421i | ||||
\(742\) | −5.62940 | − | 1.19657i | −0.206662 | − | 0.0439274i | ||||
\(743\) | 13.2513 | − | 22.9519i | 0.486143 | − | 0.842024i | −0.513730 | − | 0.857952i | \(-0.671737\pi\) |
0.999873 | + | 0.0159278i | \(0.00507018\pi\) | |||||||
\(744\) | −12.0234 | − | 24.4732i | −0.440798 | − | 0.897231i | ||||
\(745\) | 17.3886 | − | 44.5123i | 0.637069 | − | 1.63080i | ||||
\(746\) | −2.52919 | + | 7.78405i | −0.0926003 | + | 0.284994i | ||||
\(747\) | −1.31097 | + | 44.9276i | −0.0479658 | + | 1.64381i | ||||
\(748\) | 7.40182 | − | 5.37774i | 0.270637 | − | 0.196629i | ||||
\(749\) | 18.8334 | + | 32.6205i | 0.688159 | + | 1.19193i | ||||
\(750\) | −10.2155 | + | 4.15853i | −0.373016 | + | 0.151848i | ||||
\(751\) | 7.23895 | − | 12.5382i | 0.264153 | − | 0.457527i | −0.703188 | − | 0.711004i | \(-0.748241\pi\) |
0.967341 | + | 0.253477i | \(0.0815742\pi\) | |||||||
\(752\) | 1.69504 | + | 16.1272i | 0.0618118 | + | 0.588100i | ||||
\(753\) | −45.8591 | + | 16.8404i | −1.67120 | + | 0.613699i | ||||
\(754\) | −5.50210 | + | 1.16951i | −0.200375 | + | 0.0425910i | ||||
\(755\) | −29.0926 | − | 36.3629i | −1.05879 | − | 1.32338i | ||||
\(756\) | 18.6876 | + | 20.3990i | 0.679662 | + | 0.741905i | ||||
\(757\) | 21.1038 | 0.767029 | 0.383515 | − | 0.923535i | \(-0.374714\pi\) | ||||
0.383515 | + | 0.923535i | \(0.374714\pi\) | |||||||
\(758\) | 2.92289 | − | 3.24620i | 0.106164 | − | 0.117907i | ||||
\(759\) | −0.398452 | − | 10.5432i | −0.0144629 | − | 0.382695i | ||||
\(760\) | −14.9809 | + | 14.8052i | −0.543413 | + | 0.537040i | ||||
\(761\) | 3.15080 | + | 29.9779i | 0.114216 | + | 1.08670i | 0.890083 | + | 0.455799i | \(0.150647\pi\) |
−0.775866 | + | 0.630898i | \(0.782687\pi\) | |||||||
\(762\) | 8.62289 | − | 5.42262i | 0.312374 | − | 0.196441i | ||||
\(763\) | −1.29221 | + | 12.2945i | −0.0467810 | + | 0.445092i | ||||
\(764\) | −10.2665 | + | 7.45903i | −0.371428 | + | 0.269858i | ||||
\(765\) | 17.7579 | + | 7.54122i | 0.642039 | + | 0.272653i | ||||
\(766\) | 7.10122 | + | 5.15934i | 0.256578 | + | 0.186415i | ||||
\(767\) | −48.6418 | + | 54.0222i | −1.75635 | + | 1.95063i | ||||
\(768\) | −7.03737 | + | 1.00962i | −0.253939 | + | 0.0364317i | ||||
\(769\) | −35.6919 | − | 7.58654i | −1.28708 | − | 0.273578i | −0.486964 | − | 0.873422i | \(-0.661896\pi\) |
−0.800117 | + | 0.599844i | \(0.795229\pi\) | |||||||
\(770\) | −1.24660 | + | 7.58100i | −0.0449243 | + | 0.273200i | ||||
\(771\) | 8.04897 | − | 46.4261i | 0.289876 | − | 1.67199i | ||||
\(772\) | 18.8542 | − | 4.00758i | 0.678577 | − | 0.144236i | ||||
\(773\) | −26.7296 | + | 19.4202i | −0.961398 | + | 0.698496i | −0.953475 | − | 0.301472i | \(-0.902522\pi\) |
−0.00792275 | + | 0.999969i | \(0.502522\pi\) | |||||||
\(774\) | −9.00709 | − | 8.59876i | −0.323753 | − | 0.309076i | ||||
\(775\) | −37.4373 | + | 3.48879i | −1.34479 | + | 0.125321i | ||||
\(776\) | 14.1245 | + | 24.4643i | 0.507040 | + | 0.878218i | ||||
\(777\) | 7.61769 | + | 30.1839i | 0.273283 | + | 1.08284i | ||||
\(778\) | 2.74107 | + | 3.04426i | 0.0982720 | + | 0.109142i | ||||
\(779\) | 3.21105 | + | 3.56623i | 0.115048 | + | 0.127773i | ||||
\(780\) | 35.5752 | − | 3.00378i | 1.27379 | − | 0.107553i | ||||
\(781\) | −8.65177 | + | 9.60876i | −0.309585 | + | 0.343829i | ||||
\(782\) | −5.25572 | −0.187944 | ||||||||
\(783\) | 2.80612 | − | 8.89605i | 0.100283 | − | 0.317919i | ||||
\(784\) | −5.40744 | − | 3.92874i | −0.193123 | − | 0.140312i | ||||
\(785\) | 9.92725 | − | 25.4123i | 0.354319 | − | 0.907003i | ||||
\(786\) | −3.29820 | − | 0.935517i | −0.117643 | − | 0.0333688i | ||||
\(787\) | −22.3614 | + | 9.95592i | −0.797097 | + | 0.354890i | −0.764537 | − | 0.644580i | \(-0.777032\pi\) |
−0.0325593 | + | 0.999470i | \(0.510366\pi\) | |||||||
\(788\) | 5.18207 | − | 2.30721i | 0.184604 | − | 0.0821908i | ||||
\(789\) | −6.50197 | − | 25.7630i | −0.231476 | − | 0.917188i | ||||
\(790\) | 6.23131 | + | 0.363441i | 0.221700 | + | 0.0129306i | ||||
\(791\) | −53.6233 | − | 38.9596i | −1.90662 | − | 1.38524i | ||||
\(792\) | −6.72419 | − | 9.84673i | −0.238934 | − | 0.349888i | ||||
\(793\) | 5.77034 | 0.204911 | ||||||||
\(794\) | 4.84418 | − | 5.38000i | 0.171913 | − | 0.190929i | ||||
\(795\) | −2.31344 | − | 12.0973i | −0.0820494 | − | 0.429048i | ||||
\(796\) | 18.4357 | + | 20.4749i | 0.653436 | + | 0.725714i | ||||
\(797\) | −24.9471 | − | 27.7065i | −0.883670 | − | 0.981415i | 0.116260 | − | 0.993219i | \(-0.462909\pi\) |
−0.999930 | + | 0.0118037i | \(0.996243\pi\) | |||||||
\(798\) | −10.1171 | + | 9.82621i | −0.358142 | + | 0.347844i | ||||
\(799\) | 10.8015 | + | 18.7087i | 0.382129 | + | 0.661867i | ||||
\(800\) | −5.94295 | + | 26.4226i | −0.210115 | + | 0.934180i | ||||
\(801\) | −1.88452 | + | 7.74744i | −0.0665864 | + | 0.273742i | ||||
\(802\) | 12.7955 | − | 9.29649i | 0.451825 | − | 0.328270i | ||||
\(803\) | −0.398791 | + | 0.0847657i | −0.0140730 | + | 0.00299132i | ||||
\(804\) | 28.9489 | + | 24.1499i | 1.02095 | + | 0.851701i | ||||
\(805\) | −16.2142 | + | 16.0241i | −0.571477 | + | 0.564774i | ||||
\(806\) | −23.0477 | − | 4.89895i | −0.811822 | − | 0.172558i | ||||
\(807\) | −18.7475 | − | 23.8544i | −0.659943 | − | 0.839713i | ||||
\(808\) | −18.5143 | + | 20.5623i | −0.651332 | + | 0.723378i | ||||
\(809\) | 28.5382 | + | 20.7342i | 1.00335 | + | 0.728977i | 0.962804 | − | 0.270200i | \(-0.0870899\pi\) |
0.0405472 | + | 0.999178i | \(0.487090\pi\) | |||||||
\(810\) | 4.78616 | − | 10.4151i | 0.168169 | − | 0.365948i | ||||
\(811\) | 40.7735 | − | 29.6237i | 1.43175 | − | 1.04023i | 0.442063 | − | 0.896984i | \(-0.354247\pi\) |
0.989687 | − | 0.143244i | \(-0.0457532\pi\) | |||||||
\(812\) | −0.999068 | + | 9.50549i | −0.0350604 | + | 0.333577i | ||||
\(813\) | −0.488771 | − | 12.9331i | −0.0171419 | − | 0.453584i | ||||
\(814\) | −0.639351 | − | 6.08302i | −0.0224092 | − | 0.213210i | ||||
\(815\) | −4.84064 | − | 2.50251i | −0.169560 | − | 0.0876590i | ||||
\(816\) | 9.10359 | − | 5.72492i | 0.318689 | − | 0.200412i | ||||
\(817\) | −21.9413 | + | 24.3683i | −0.767629 | + | 0.852539i | ||||
\(818\) | −3.32048 | −0.116098 | ||||||||
\(819\) | 52.2913 | − | 3.95807i | 1.82721 | − | 0.138306i | ||||
\(820\) | 3.85379 | + | 1.05702i | 0.134580 | + | 0.0369129i | ||||
\(821\) | −9.43640 | + | 2.00577i | −0.329333 | + | 0.0700018i | −0.369611 | − | 0.929187i | \(-0.620509\pi\) |
0.0402780 | + | 0.999189i | \(0.487176\pi\) | |||||||
\(822\) | 0.492722 | − | 2.84200i | 0.0171857 | − | 0.0991261i | ||||
\(823\) | 2.39732 | + | 22.8090i | 0.0835654 | + | 0.795072i | 0.953396 | + | 0.301721i | \(0.0975612\pi\) |
−0.869831 | + | 0.493350i | \(0.835772\pi\) | |||||||
\(824\) | −5.72251 | + | 9.91168i | −0.199353 | + | 0.345290i | ||||
\(825\) | −15.9883 | + | 3.83501i | −0.556642 | + | 0.133518i | ||||
\(826\) | −11.9567 | − | 20.7096i | −0.416027 | − | 0.720580i | ||||
\(827\) | −1.44079 | + | 1.04680i | −0.0501013 | + | 0.0364007i | −0.612554 | − | 0.790429i | \(-0.709858\pi\) |
0.562453 | + | 0.826829i | \(0.309858\pi\) | |||||||
\(828\) | 0.470424 | − | 16.1217i | 0.0163484 | − | 0.560268i | ||||
\(829\) | −9.28565 | + | 28.5783i | −0.322504 | + | 0.992565i | 0.650051 | + | 0.759891i | \(0.274748\pi\) |
−0.972555 | + | 0.232674i | \(0.925252\pi\) | |||||||
\(830\) | −16.0637 | + | 10.2977i | −0.557578 | + | 0.357437i | ||||
\(831\) | −9.69826 | − | 0.650226i | −0.336429 | − | 0.0225561i | ||||
\(832\) | 3.39068 | − | 5.87282i | 0.117551 | − | 0.203604i | ||||
\(833\) | −8.70976 | − | 1.85132i | −0.301775 | − | 0.0641443i | ||||
\(834\) | 0.169182 | + | 4.47662i | 0.00585828 | + | 0.155013i | ||||
\(835\) | 9.55625 | + | 0.557368i | 0.330708 | + | 0.0192885i | ||||
\(836\) | −11.5798 | + | 8.41323i | −0.400496 | + | 0.290978i | ||||
\(837\) | 25.8952 | − | 29.2619i | 0.895070 | − | 1.01144i | ||||
\(838\) | 8.62047 | + | 6.26314i | 0.297789 | + | 0.216356i | ||||
\(839\) | −27.6501 | − | 12.3106i | −0.954587 | − | 0.425009i | −0.130485 | − | 0.991450i | \(-0.541653\pi\) |
−0.824102 | + | 0.566441i | \(0.808320\pi\) | |||||||
\(840\) | −5.87139 | + | 25.0846i | −0.202582 | + | 0.865501i | ||||
\(841\) | −23.5487 | + | 10.4846i | −0.812024 | + | 0.361536i | ||||
\(842\) | 20.5487 | + | 4.36777i | 0.708157 | + | 0.150523i | ||||
\(843\) | −6.54749 | + | 16.3404i | −0.225508 | + | 0.562792i | ||||
\(844\) | 10.6077 | − | 11.7811i | 0.365133 | − | 0.405522i | ||||
\(845\) | 21.2172 | − | 32.2535i | 0.729895 | − | 1.10955i | ||||
\(846\) | 11.2976 | − | 6.09039i | 0.388418 | − | 0.209392i | ||||
\(847\) | 7.26154 | − | 22.3487i | 0.249510 | − | 0.767911i | ||||
\(848\) | −6.27185 | − | 2.79241i | −0.215376 | − | 0.0958916i | ||||
\(849\) | 20.3173 | − | 2.91484i | 0.697287 | − | 0.100037i | ||||
\(850\) | 1.60822 | + | 8.03083i | 0.0551615 | + | 0.275455i | ||||
\(851\) | 9.07443 | − | 15.7174i | 0.311068 | − | 0.538785i | ||||
\(852\) | −14.1786 | + | 13.7709i | −0.485751 | + | 0.471784i | ||||
\(853\) | 12.5827 | − | 2.67454i | 0.430824 | − | 0.0915744i | 0.0126046 | − | 0.999921i | \(-0.495988\pi\) |
0.418219 | + | 0.908346i | \(0.362654\pi\) | |||||||
\(854\) | −0.586579 | + | 1.80530i | −0.0200723 | + | 0.0617762i | ||||
\(855\) | −27.7815 | − | 11.7979i | −0.950106 | − | 0.403480i | ||||
\(856\) | −7.66890 | − | 23.6024i | −0.262118 | − | 0.806715i | ||||
\(857\) | −24.3800 | − | 42.2275i | −0.832806 | − | 1.44246i | −0.895804 | − | 0.444449i | \(-0.853399\pi\) |
0.0629979 | − | 0.998014i | \(-0.479934\pi\) | |||||||
\(858\) | −10.2806 | − | 0.689269i | −0.350974 | − | 0.0235313i | ||||
\(859\) | 21.3377 | − | 9.50017i | 0.728034 | − | 0.324142i | −0.00903490 | − | 0.999959i | \(-0.502876\pi\) |
0.737069 | + | 0.675818i | \(0.236209\pi\) | |||||||
\(860\) | −4.43059 | + | 26.9439i | −0.151082 | + | 0.918781i | ||||
\(861\) | 5.64699 | + | 1.60174i | 0.192449 | + | 0.0545870i | ||||
\(862\) | 2.15609 | − | 20.5138i | 0.0734367 | − | 0.698704i | ||||
\(863\) | −9.51631 | − | 6.91401i | −0.323939 | − | 0.235355i | 0.413915 | − | 0.910315i | \(-0.364161\pi\) |
−0.737854 | + | 0.674960i | \(0.764161\pi\) | |||||||
\(864\) | −14.2817 | − | 24.2524i | −0.485875 | − | 0.825085i | ||||
\(865\) | −8.42512 | − | 2.31086i | −0.286463 | − | 0.0785715i | ||||
\(866\) | 2.12780 | − | 20.2447i | 0.0723057 | − | 0.687943i | ||||
\(867\) | −8.41810 | + | 12.5579i | −0.285894 | + | 0.426488i | ||||
\(868\) | −20.0184 | + | 34.6729i | −0.679470 | + | 1.17688i | ||||
\(869\) | 9.10159 | + | 1.93460i | 0.308750 | + | 0.0656269i | ||||
\(870\) | 3.79048 | − | 1.14631i | 0.128509 | − | 0.0388636i | ||||
\(871\) | 69.9008 | − | 14.8579i | 2.36850 | − | 0.503440i | ||||
\(872\) | 2.51693 | − | 7.74631i | 0.0852340 | − | 0.262323i | ||||
\(873\) | −24.7395 | + | 32.0423i | −0.837307 | + | 1.08447i | ||||
\(874\) | 8.22234 | 0.278125 | ||||||||
\(875\) | 29.4465 | + | 19.8724i | 0.995474 | + | 0.671809i | ||||
\(876\) | −0.616920 | + | 0.0885072i | −0.0208438 | + | 0.00299038i | ||||
\(877\) | −1.13892 | − | 10.8361i | −0.0384584 | − | 0.365908i | −0.996778 | − | 0.0802093i | \(-0.974441\pi\) |
0.958320 | − | 0.285698i | \(-0.0922255\pi\) | |||||||
\(878\) | −5.72040 | − | 6.35315i | −0.193054 | − | 0.214408i | ||||
\(879\) | 5.00536 | − | 28.8707i | 0.168827 | − | 0.973785i | ||||
\(880\) | −3.33482 | + | 8.53664i | −0.112417 | + | 0.287770i | ||||
\(881\) | 10.4990 | + | 32.3127i | 0.353721 | + | 1.08864i | 0.956747 | + | 0.290921i | \(0.0939616\pi\) |
−0.603026 | + | 0.797722i | \(0.706038\pi\) | |||||||
\(882\) | −1.25035 | + | 5.14031i | −0.0421016 | + | 0.173083i | ||||
\(883\) | −9.31693 | − | 28.6746i | −0.313540 | − | 0.964976i | −0.976351 | − | 0.216190i | \(-0.930637\pi\) |
0.662812 | − | 0.748786i | \(-0.269363\pi\) | |||||||
\(884\) | 2.77120 | − | 26.3662i | 0.0932056 | − | 0.886792i | ||||
\(885\) | 30.9226 | − | 40.7779i | 1.03945 | − | 1.37074i | ||||
\(886\) | 0.310851 | + | 2.95755i | 0.0104432 | + | 0.0993608i | ||||
\(887\) | −22.1303 | + | 9.85304i | −0.743063 | + | 0.330833i | −0.743112 | − | 0.669167i | \(-0.766651\pi\) |
4.92600e−5 | 1.00000i | \(0.499984\pi\) | ||||||||
\(888\) | −0.774580 | − | 20.4958i | −0.0259932 | − | 0.687793i | ||||
\(889\) | −29.9723 | − | 13.3445i | −1.00524 | − | 0.447561i | ||||
\(890\) | −3.16716 | + | 1.19437i | −0.106163 | + | 0.0400353i | ||||
\(891\) | 9.39174 | − | 14.2743i | 0.314635 | − | 0.478208i | ||||
\(892\) | −0.642221 | − | 1.97655i | −0.0215031 | − | 0.0661799i | ||||
\(893\) | −16.8984 | − | 29.2690i | −0.565485 | − | 0.979448i | ||||
\(894\) | −11.7393 | + | 17.5124i | −0.392622 | + | 0.585703i | ||||
\(895\) | 8.06071 | − | 49.0200i | 0.269440 | − | 1.63856i | ||||
\(896\) | 24.5251 | + | 27.2379i | 0.819325 | + | 0.909953i | ||||
\(897\) | −23.4765 | − | 19.5847i | −0.783857 | − | 0.653913i | ||||
\(898\) | −3.93962 | − | 1.75403i | −0.131467 | − | 0.0585328i | ||||
\(899\) | 13.4997 | 0.450242 | ||||||||
\(900\) | −24.7782 | + | 4.21433i | −0.825940 | + | 0.140478i | ||||
\(901\) | −9.14603 | −0.304699 | ||||||||
\(902\) | −1.05359 | − | 0.469088i | −0.0350807 | − | 0.0156189i | ||||
\(903\) | −6.85146 | + | 39.5189i | −0.228002 | + | 1.31511i | ||||
\(904\) | 29.2211 | + | 32.4534i | 0.971881 | + | 1.07938i | ||||
\(905\) | 23.2535 | + | 46.3108i | 0.772971 | + | 1.53942i | ||||
\(906\) | 9.05928 | + | 18.4399i | 0.300974 | + | 0.612624i | ||||
\(907\) | −1.57393 | − | 2.72612i | −0.0522614 | − | 0.0905194i | 0.838711 | − | 0.544576i | \(-0.183310\pi\) |
−0.890973 | + | 0.454057i | \(0.849976\pi\) | |||||||
\(908\) | 12.5302 | + | 38.5640i | 0.415830 | + | 1.27979i | ||||
\(909\) | −37.3367 | − | 13.3474i | −1.23838 | − | 0.442707i | ||||
\(910\) | 13.9079 | + | 17.3835i | 0.461043 | + | 0.576258i | ||||
\(911\) | −17.5424 | − | 7.81040i | −0.581207 | − | 0.258770i | 0.0950055 | − | 0.995477i | \(-0.469713\pi\) |
−0.676212 | + | 0.736707i | \(0.736380\pi\) | |||||||
\(912\) | −14.2422 | + | 8.95638i | −0.471605 | + | 0.296575i | ||||
\(913\) | −25.9852 | + | 11.5694i | −0.859986 | + | 0.382890i | ||||
\(914\) | 2.10879 | + | 20.0638i | 0.0697526 | + | 0.663652i | ||||
\(915\) | −4.04792 | + | 0.341786i | −0.133820 | + | 0.0112991i | ||||
\(916\) | 0.655690 | − | 6.23847i | 0.0216646 | − | 0.206125i | ||||
\(917\) | 3.41224 | + | 10.5018i | 0.112682 | + | 0.346800i | ||||
\(918\) | −6.92880 | − | 4.94356i | −0.228685 | − | 0.163162i | ||||
\(919\) | −1.36885 | − | 4.21288i | −0.0451542 | − | 0.138970i | 0.925938 | − | 0.377676i | \(-0.123277\pi\) |
−0.971092 | + | 0.238706i | \(0.923277\pi\) | |||||||
\(920\) | 12.6445 | − | 8.10576i | 0.416875 | − | 0.267239i | ||||
\(921\) | 2.48413 | − | 0.912225i | 0.0818548 | − | 0.0300588i | ||||
\(922\) | −5.46057 | − | 6.06458i | −0.179834 | − | 0.199726i | ||||
\(923\) | 3.91635 | + | 37.2616i | 0.128908 | + | 1.22648i | ||||
\(924\) | −6.51190 | + | 16.2516i | −0.214226 | + | 0.534637i | ||||
\(925\) | −26.7932 | − | 9.05647i | −0.880954 | − | 0.297775i | ||||
\(926\) | −7.04319 | −0.231453 | ||||||||
\(927\) | −16.2542 | − | 2.18939i | −0.533859 | − | 0.0719091i | ||||
\(928\) | 3.00481 | − | 9.24785i | 0.0986377 | − | 0.303576i | ||||
\(929\) | 37.0063 | − | 7.86593i | 1.21414 | − | 0.258073i | 0.444044 | − | 0.896005i | \(-0.353543\pi\) |
0.770092 | + | 0.637932i | \(0.220210\pi\) | |||||||
\(930\) | 16.4583 | + | 2.07148i | 0.539688 | + | 0.0679266i | ||||
\(931\) | 13.6260 | + | 2.89630i | 0.446575 | + | 0.0949225i | ||||
\(932\) | 7.47586 | − | 12.9486i | 0.244880 | − | 0.424144i | ||||
\(933\) | −6.98984 | − | 14.2276i | −0.228837 | − | 0.465791i | ||||
\(934\) | 1.30892 | − | 12.4535i | 0.0428290 | − | 0.407491i | ||||
\(935\) | 0.567055 | + | 12.1962i | 0.0185447 | + | 0.398860i | ||||
\(936\) | −34.2418 | − | 4.61227i | −1.11923 | − | 0.150757i | ||||
\(937\) | −1.15366 | − | 0.838181i | −0.0376883 | − | 0.0273822i | 0.568782 | − | 0.822489i | \(-0.307415\pi\) |
−0.606470 | + | 0.795106i | \(0.707415\pi\) | |||||||
\(938\) | −2.45728 | + | 23.3794i | −0.0802330 | + | 0.763366i | ||||
\(939\) | 0.151304 | + | 0.599519i | 0.00493763 | + | 0.0195646i | ||||
\(940\) | −25.0003 | − | 12.9246i | −0.815420 | − | 0.421555i | ||||
\(941\) | 5.42584 | − | 2.41574i | 0.176877 | − | 0.0787508i | −0.316388 | − | 0.948630i | \(-0.602470\pi\) |
0.493265 | + | 0.869879i | \(0.335803\pi\) | |||||||
\(942\) | −6.70206 | + | 9.99793i | −0.218365 | + | 0.325750i | ||||
\(943\) | −1.71102 | − | 2.96358i | −0.0557186 | − | 0.0965075i | ||||
\(944\) | −8.81517 | − | 27.1303i | −0.286909 | − | 0.883017i | ||||
\(945\) | −36.4482 | + | 5.87389i | −1.18566 | + | 0.191078i | ||||
\(946\) | 2.43523 | − | 7.49486i | 0.0791761 | − | 0.243679i | ||||
\(947\) | 46.9791 | − | 9.98572i | 1.52662 | − | 0.324492i | 0.633295 | − | 0.773911i | \(-0.281702\pi\) |
0.893322 | + | 0.449418i | \(0.148369\pi\) | |||||||
\(948\) | 13.6843 | + | 3.88147i | 0.444444 | + | 0.126064i | ||||
\(949\) | −0.590696 | + | 1.02312i | −0.0191748 | + | 0.0332117i | ||||
\(950\) | −2.51599 | − | 12.5639i | −0.0816294 | − | 0.407626i | ||||
\(951\) | −11.5565 | + | 28.8411i | −0.374744 | + | 0.935236i | ||||
\(952\) | 17.4769 | + | 7.78120i | 0.566429 | + | 0.252190i | ||||
\(953\) | −12.4747 | + | 38.3933i | −0.404096 | + | 1.24368i | 0.517551 | + | 0.855652i | \(0.326844\pi\) |
−0.921647 | + | 0.388028i | \(0.873156\pi\) | |||||||
\(954\) | −0.158488 | + | 5.43148i | −0.00513124 | + | 0.175851i | ||||
\(955\) | −0.786517 | − | 16.9164i | −0.0254511 | − | 0.547403i | ||||
\(956\) | −7.30043 | + | 8.10795i | −0.236113 | + | 0.262230i | ||||
\(957\) | 5.84345 | − | 0.838338i | 0.188892 | − | 0.0270996i | ||||
\(958\) | 2.85001 | + | 0.605788i | 0.0920796 | + | 0.0195721i | ||||
\(959\) | −8.48715 | + | 3.77872i | −0.274064 | + | 0.122021i | ||||
\(960\) | −2.03072 | + | 4.32064i | −0.0655411 | + | 0.139448i | ||||
\(961\) | 23.3402 | + | 10.3917i | 0.752909 | + | 0.335217i | ||||
\(962\) | −14.3389 | − | 10.4178i | −0.462304 | − | 0.335884i | ||||
\(963\) | 27.1117 | − | 23.0157i | 0.873662 | − | 0.741669i | ||||
\(964\) | 34.1777 | − | 24.8316i | 1.10079 | − | 0.799771i | ||||
\(965\) | −9.35970 | + | 23.9594i | −0.301300 | + | 0.771282i | ||||
\(966\) | 8.51371 | − | 5.35397i | 0.273924 | − | 0.172261i | ||||
\(967\) | −4.23531 | − | 0.900244i | −0.136199 | − | 0.0289499i | 0.139308 | − | 0.990249i | \(-0.455512\pi\) |
−0.275506 | + | 0.961299i | \(0.588846\pi\) | |||||||
\(968\) | −7.74118 | + | 13.4081i | −0.248811 | + | 0.430953i | ||||
\(969\) | −12.4800 | + | 18.6172i | −0.400914 | + | 0.598072i | ||||
\(970\) | −17.1562 | − | 1.00064i | −0.550853 | − | 0.0321285i | ||||
\(971\) | 1.42145 | − | 4.37478i | 0.0456166 | − | 0.140394i | −0.925654 | − | 0.378371i | \(-0.876484\pi\) |
0.971271 | + | 0.237977i | \(0.0764844\pi\) | |||||||
\(972\) | 15.7843 | − | 20.8113i | 0.506283 | − | 0.667524i | ||||
\(973\) | 11.6733 | − | 8.48118i | 0.374230 | − | 0.271894i | ||||
\(974\) | −1.85635 | − | 3.21529i | −0.0594812 | − | 0.103025i | ||||
\(975\) | −22.7420 | + | 41.8653i | −0.728328 | + | 1.34076i | ||||
\(976\) | −1.13219 | + | 1.96102i | −0.0362407 | + | 0.0627707i | ||||
\(977\) | −1.31593 | − | 12.5202i | −0.0421003 | − | 0.400558i | −0.995197 | − | 0.0978919i | \(-0.968790\pi\) |
0.953097 | − | 0.302666i | \(-0.0978766\pi\) | |||||||
\(978\) | 1.84607 | + | 1.54003i | 0.0590307 | + | 0.0492449i | ||||
\(979\) | −4.93564 | + | 1.04910i | −0.157744 | + | 0.0335295i | ||||
\(980\) | 10.8541 | − | 4.09321i | 0.346722 | − | 0.130753i | ||||
\(981\) | 11.6386 | − | 0.880958i | 0.371593 | − | 0.0281268i | ||||
\(982\) | −8.81140 | −0.281183 | ||||||||
\(983\) | 22.3783 | − | 24.8536i | 0.713756 | − | 0.792707i | −0.271746 | − | 0.962369i | \(-0.587601\pi\) |
0.985502 | + | 0.169662i | \(0.0542677\pi\) | |||||||
\(984\) | −3.41984 | − | 1.80580i | −0.109020 | − | 0.0575668i | ||||
\(985\) | −1.22827 | + | 7.46953i | −0.0391359 | + | 0.237999i | ||||
\(986\) | −0.307380 | − | 2.92453i | −0.00978898 | − | 0.0931360i | ||||
\(987\) | −36.5557 | − | 19.3028i | −1.16358 | − | 0.614414i | ||||
\(988\) | −4.33542 | + | 41.2488i | −0.137928 | + | 1.31230i | ||||
\(989\) | 18.9173 | − | 13.7442i | 0.601536 | − | 0.437042i | ||||
\(990\) | 7.25270 | − | 0.125408i | 0.230506 | − | 0.00398574i | ||||
\(991\) | 28.1855 | + | 20.4779i | 0.895341 | + | 0.650503i | 0.937265 | − | 0.348618i | \(-0.113349\pi\) |
−0.0419243 | + | 0.999121i | \(0.513349\pi\) | |||||||
\(992\) | 27.2549 | − | 30.2697i | 0.865345 | − | 0.961063i | ||||
\(993\) | −8.41853 | + | 21.0098i | −0.267154 | + | 0.666727i | ||||
\(994\) | −12.0557 | − | 2.56253i | −0.382385 | − | 0.0812784i | ||||
\(995\) | −36.3480 | + | 5.53736i | −1.15231 | + | 0.175546i | ||||
\(996\) | −40.8168 | + | 14.9888i | −1.29333 | + | 0.474938i | ||||
\(997\) | −8.50061 | + | 1.80686i | −0.269217 | + | 0.0572239i | −0.340542 | − | 0.940229i | \(-0.610611\pi\) |
0.0713250 | + | 0.997453i | \(0.477277\pi\) | |||||||
\(998\) | 3.74759 | − | 2.72278i | 0.118628 | − | 0.0861882i | ||||
\(999\) | 26.7470 | − | 12.1853i | 0.846238 | − | 0.385527i |
(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 | 225.2.q.a.211.18 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.361.11 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.586.18 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.61.11 | yes | 224 | |
25.16 | even | 5 | inner | 225.2.q.a.166.11 | yes | 224 | |
75.41 | odd | 10 | 675.2.r.a.91.18 | 224 | |||
225.16 | even | 15 | inner | 225.2.q.a.16.18 | ✓ | 224 | |
225.191 | odd | 30 | 675.2.r.a.316.11 | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.16.18 | ✓ | 224 | 225.16 | even | 15 | inner | |
225.2.q.a.61.11 | yes | 224 | 9.7 | even | 3 | inner | |
225.2.q.a.166.11 | yes | 224 | 25.16 | even | 5 | inner | |
225.2.q.a.211.18 | yes | 224 | 1.1 | even | 1 | trivial | |
675.2.r.a.91.18 | 224 | 75.41 | odd | 10 | |||
675.2.r.a.316.11 | 224 | 225.191 | odd | 30 | |||
675.2.r.a.361.11 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.586.18 | 224 | 9.2 | odd | 6 |