Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(28,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.g (of order \(27\), degree \(18\), not 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 28.4 | ||
Character | \(\chi\) | \(=\) | 729.28 |
Dual form | 729.2.g.d.703.4 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{22}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.103498 | + | 0.0680719i | −0.0731843 | + | 0.0481341i | −0.585574 | − | 0.810619i | \(-0.699131\pi\) |
0.512390 | + | 0.858753i | \(0.328760\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.786081 | + | 1.82234i | −0.393041 | + | 0.911171i | ||||
\(5\) | 2.31283 | − | 2.45146i | 1.03433 | − | 1.09633i | 0.0390538 | − | 0.999237i | \(-0.487566\pi\) |
0.995276 | − | 0.0970882i | \(-0.0309529\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.71541 | + | 0.434269i | 1.40429 | + | 0.164138i | 0.784258 | − | 0.620435i | \(-0.213044\pi\) |
0.620036 | + | 0.784573i | \(0.287118\pi\) | |||||||
\(8\) | −0.0857144 | − | 0.486111i | −0.0303046 | − | 0.171866i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.0724987 | + | 0.411161i | −0.0229261 | + | 0.130020i | ||||
\(11\) | 1.30961 | − | 4.37439i | 0.394861 | − | 1.31893i | −0.497444 | − | 0.867496i | \(-0.665728\pi\) |
0.892305 | − | 0.451433i | \(-0.149087\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0739164 | − | 1.26910i | 0.0205007 | − | 0.351984i | −0.972423 | − | 0.233226i | \(-0.925072\pi\) |
0.992923 | − | 0.118758i | \(-0.0378912\pi\) | |||||||
\(14\) | −0.414100 | + | 0.207969i | −0.110673 | + | 0.0555821i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.68194 | − | 2.84269i | −0.670486 | − | 0.710673i | ||||
\(17\) | −1.54764 | + | 0.563296i | −0.375359 | + | 0.136619i | −0.522808 | − | 0.852450i | \(-0.675116\pi\) |
0.147450 | + | 0.989070i | \(0.452893\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.14528 | − | 1.50876i | −0.950993 | − | 0.346133i | −0.180495 | − | 0.983576i | \(-0.557770\pi\) |
−0.770498 | + | 0.637443i | \(0.779992\pi\) | |||||||
\(20\) | 2.64932 | + | 6.14181i | 0.592406 | + | 1.37335i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.162231 | + | 0.541890i | 0.0345878 | + | 0.115531i | ||||
\(23\) | 1.06063 | − | 0.123970i | 0.221157 | − | 0.0258495i | −0.00479276 | − | 0.999989i | \(-0.501526\pi\) |
0.225950 | + | 0.974139i | \(0.427452\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.369733 | − | 6.34808i | −0.0739467 | − | 1.26962i | ||||
\(26\) | 0.0787396 | + | 0.136381i | 0.0154421 | + | 0.0267465i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.71200 | + | 6.42938i | −0.701503 | + | 1.21504i | ||||
\(29\) | 1.61142 | + | 0.809287i | 0.299234 | + | 0.150281i | 0.592081 | − | 0.805878i | \(-0.298307\pi\) |
−0.292847 | + | 0.956159i | \(0.594603\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.05312 | + | 5.44429i | 0.727963 | + | 0.977823i | 0.999880 | + | 0.0155028i | \(0.00493490\pi\) |
−0.271917 | + | 0.962321i | \(0.587658\pi\) | |||||||
\(32\) | 1.43169 | + | 0.339317i | 0.253090 | + | 0.0599834i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.121834 | − | 0.163651i | 0.0208943 | − | 0.0280659i | ||||
\(35\) | 9.65772 | − | 8.10379i | 1.63245 | − | 1.36979i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.46619 | − | 2.06938i | −0.405439 | − | 0.340204i | 0.417152 | − | 0.908837i | \(-0.363028\pi\) |
−0.822592 | + | 0.568633i | \(0.807473\pi\) | |||||||
\(38\) | 0.531734 | − | 0.126023i | 0.0862586 | − | 0.0204437i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.38992 | − | 0.914167i | −0.219766 | − | 0.144542i | ||||
\(41\) | 0.842295 | + | 0.553986i | 0.131544 | + | 0.0865181i | 0.613576 | − | 0.789636i | \(-0.289731\pi\) |
−0.482031 | + | 0.876154i | \(0.660101\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.24075 | + | 0.531068i | −0.341711 | + | 0.0809871i | −0.397889 | − | 0.917434i | \(-0.630257\pi\) |
0.0561773 | + | 0.998421i | \(0.482109\pi\) | |||||||
\(44\) | 6.94218 | + | 5.82518i | 1.04657 | + | 0.878179i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.101335 | + | 0.0850299i | −0.0149410 | + | 0.0125370i | ||||
\(47\) | 5.68936 | − | 7.64213i | 0.829878 | − | 1.11472i | −0.161908 | − | 0.986806i | \(-0.551765\pi\) |
0.991785 | − | 0.127913i | \(-0.0408280\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.80439 | + | 1.61267i | 0.972055 | + | 0.230381i | ||||
\(50\) | 0.470392 | + | 0.631847i | 0.0665235 | + | 0.0893566i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.25462 | + | 1.13231i | 0.312660 | + | 0.157024i | ||||
\(53\) | 1.43978 | − | 2.49378i | 0.197769 | − | 0.342547i | −0.750035 | − | 0.661398i | \(-0.769964\pi\) |
0.947805 | + | 0.318851i | \(0.103297\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.69474 | − | 13.3277i | −1.03756 | − | 1.79710i | ||||
\(56\) | −0.107361 | − | 1.84333i | −0.0143468 | − | 0.246325i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.221869 | + | 0.0259328i | −0.0291328 | + | 0.00340514i | ||||
\(59\) | 3.05432 | + | 10.2021i | 0.397638 | + | 1.32820i | 0.889263 | + | 0.457397i | \(0.151218\pi\) |
−0.491625 | + | 0.870807i | \(0.663597\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.10265 | + | 4.87448i | 0.269216 | + | 0.624114i | 0.998171 | − | 0.0604479i | \(-0.0192529\pi\) |
−0.728955 | + | 0.684562i | \(0.759994\pi\) | |||||||
\(62\) | −0.790095 | − | 0.287571i | −0.100342 | − | 0.0365215i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.17367 | − | 2.61100i | 0.896708 | − | 0.326375i | ||||
\(65\) | −2.94018 | − | 3.11641i | −0.364684 | − | 0.386543i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.71756 | + | 1.36481i | −0.332002 | + | 0.166738i | −0.606989 | − | 0.794710i | \(-0.707623\pi\) |
0.274987 | + | 0.961448i | \(0.411327\pi\) | |||||||
\(68\) | 0.190056 | − | 3.26313i | 0.0230476 | − | 0.395713i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.447917 | + | 1.49615i | −0.0535363 | + | 0.178824i | ||||
\(71\) | −0.346694 | + | 1.96620i | −0.0411451 | + | 0.233345i | −0.998445 | − | 0.0557526i | \(-0.982244\pi\) |
0.957300 | + | 0.289098i | \(0.0933553\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.80114 | + | 15.8860i | 0.327848 | + | 1.85932i | 0.488854 | + | 0.872366i | \(0.337415\pi\) |
−0.161006 | + | 0.986953i | \(0.551474\pi\) | |||||||
\(74\) | 0.396113 | + | 0.0462990i | 0.0460472 | + | 0.00538215i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.00801 | − | 6.36811i | 0.689166 | − | 0.730473i | ||||
\(77\) | 6.76540 | − | 15.6840i | 0.770989 | − | 1.78735i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.69457 | − | 3.08767i | 0.528181 | − | 0.347390i | −0.257245 | − | 0.966346i | \(-0.582815\pi\) |
0.785425 | + | 0.618956i | \(0.212444\pi\) | |||||||
\(80\) | −13.1716 | −1.47263 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.124887 | −0.0137915 | ||||||||
\(83\) | −10.0739 | + | 6.62572i | −1.10576 | + | 0.727267i | −0.964862 | − | 0.262758i | \(-0.915368\pi\) |
−0.140894 | + | 0.990025i | \(0.544998\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.19854 | + | 5.09679i | −0.238465 | + | 0.552825i | ||||
\(86\) | 0.195763 | − | 0.207497i | 0.0211097 | − | 0.0223750i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.23869 | − | 0.261666i | −0.238645 | − | 0.0278936i | ||||
\(89\) | 1.69819 | + | 9.63089i | 0.180007 | + | 1.02087i | 0.932204 | + | 0.361934i | \(0.117883\pi\) |
−0.752197 | + | 0.658939i | \(0.771006\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.825760 | − | 4.68312i | 0.0865631 | − | 0.490924i | ||||
\(92\) | −0.607827 | + | 2.03028i | −0.0633703 | + | 0.211672i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.0686242 | + | 1.17823i | −0.00707805 | + | 0.121525i | ||||
\(95\) | −13.2860 | + | 6.67248i | −1.36312 | + | 0.684582i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.44760 | + | 6.83405i | 0.654654 | + | 0.693893i | 0.966624 | − | 0.256199i | \(-0.0824702\pi\) |
−0.311970 | + | 0.950092i | \(0.600989\pi\) | |||||||
\(98\) | −0.814020 | + | 0.296279i | −0.0822284 | + | 0.0299287i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 11.8590 | + | 4.31632i | 1.18590 | + | 0.431632i | ||||
\(101\) | −2.16870 | − | 5.02761i | −0.215794 | − | 0.500266i | 0.775593 | − | 0.631233i | \(-0.217451\pi\) |
−0.991387 | + | 0.130967i | \(0.958192\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.672471 | + | 2.24621i | 0.0662606 | + | 0.221326i | 0.984707 | − | 0.174220i | \(-0.0557405\pi\) |
−0.918446 | + | 0.395546i | \(0.870555\pi\) | |||||||
\(104\) | −0.623257 | + | 0.0728483i | −0.0611154 | + | 0.00714336i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.0207411 | + | 0.356111i | 0.00201455 | + | 0.0345885i | ||||
\(107\) | −5.88377 | − | 10.1910i | −0.568805 | − | 0.985200i | −0.996684 | − | 0.0813640i | \(-0.974072\pi\) |
0.427879 | − | 0.903836i | \(-0.359261\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.211790 | + | 0.366831i | −0.0202858 | + | 0.0351361i | −0.875990 | − | 0.482329i | \(-0.839791\pi\) |
0.855704 | + | 0.517465i | \(0.173124\pi\) | |||||||
\(110\) | 1.70363 | + | 0.855597i | 0.162435 | + | 0.0815779i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −8.73003 | − | 11.7265i | −0.824910 | − | 1.10805i | ||||
\(113\) | −13.3588 | − | 3.16609i | −1.25669 | − | 0.297840i | −0.452257 | − | 0.891888i | \(-0.649381\pi\) |
−0.804430 | + | 0.594047i | \(0.797529\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.14915 | − | 2.88681i | 0.200410 | − | 0.269197i | ||||
\(116\) | −2.74151 | + | 2.30040i | −0.254542 | + | 0.213586i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.01059 | − | 0.847990i | −0.0930328 | − | 0.0780638i | ||||
\(119\) | −5.99475 | + | 1.42078i | −0.549538 | + | 0.130243i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.22988 | − | 5.41288i | −0.748171 | − | 0.492080i | ||||
\(122\) | −0.549436 | − | 0.361370i | −0.0497436 | − | 0.0327169i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −13.1074 | + | 3.10652i | −1.17708 | + | 0.278974i | ||||
\(125\) | −3.50823 | − | 2.94375i | −0.313785 | − | 0.263297i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.77429 | − | 2.32790i | 0.246178 | − | 0.206568i | −0.511346 | − | 0.859375i | \(-0.670853\pi\) |
0.757524 | + | 0.652807i | \(0.226409\pi\) | |||||||
\(128\) | −2.32199 | + | 3.11897i | −0.205237 | + | 0.275681i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.516443 | + | 0.122399i | 0.0452951 | + | 0.0107351i | ||||
\(131\) | −3.73212 | − | 5.01310i | −0.326077 | − | 0.437997i | 0.608610 | − | 0.793469i | \(-0.291727\pi\) |
−0.934687 | + | 0.355473i | \(0.884320\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −14.7462 | − | 7.40584i | −1.27866 | − | 0.642167i | ||||
\(134\) | 0.188357 | − | 0.326245i | 0.0162716 | − | 0.0281832i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.406480 | + | 0.704043i | 0.0348553 | + | 0.0603712i | ||||
\(137\) | 0.952195 | + | 16.3486i | 0.0813515 | + | 1.39675i | 0.754041 | + | 0.656827i | \(0.228102\pi\) |
−0.672690 | + | 0.739925i | \(0.734861\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −19.4102 | + | 2.26873i | −1.64635 | + | 0.192431i | −0.888139 | − | 0.459574i | \(-0.848002\pi\) |
−0.758214 | + | 0.652006i | \(0.773928\pi\) | |||||||
\(140\) | 7.17612 | + | 23.9699i | 0.606492 | + | 2.02583i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.0979608 | − | 0.227099i | −0.00822069 | − | 0.0190577i | ||||
\(143\) | −5.45472 | − | 1.98536i | −0.456147 | − | 0.166024i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.71088 | − | 2.07859i | 0.474263 | − | 0.172617i | ||||
\(146\) | −1.37131 | − | 1.45350i | −0.113490 | − | 0.120292i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.70974 | − | 2.86754i | 0.469338 | − | 0.235710i | ||||
\(149\) | 0.238124 | − | 4.08844i | 0.0195079 | − | 0.334938i | −0.974407 | − | 0.224790i | \(-0.927830\pi\) |
0.993915 | − | 0.110148i | \(-0.0351325\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.54334 | + | 8.49534i | −0.206974 | + | 0.691341i | 0.789965 | + | 0.613152i | \(0.210099\pi\) |
−0.996939 | + | 0.0781885i | \(0.975086\pi\) | |||||||
\(152\) | −0.378114 | + | 2.14439i | −0.0306691 | + | 0.173933i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.367429 | + | 2.08380i | 0.0296083 | + | 0.167917i | ||||
\(155\) | 22.7206 | + | 2.65566i | 1.82497 | + | 0.213308i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.63877 | + | 3.85687i | −0.290406 | + | 0.307812i | −0.856107 | − | 0.516798i | \(-0.827124\pi\) |
0.565702 | + | 0.824610i | \(0.308605\pi\) | |||||||
\(158\) | −0.275697 | + | 0.639137i | −0.0219333 | + | 0.0508470i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 4.14309 | − | 2.72495i | 0.327540 | − | 0.215426i | ||||
\(161\) | 3.99452 | 0.314812 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.86655 | −0.381178 | −0.190589 | − | 0.981670i | \(-0.561040\pi\) | ||||
−0.190589 | + | 0.981670i | \(0.561040\pi\) | |||||||
\(164\) | −1.67166 | + | 1.09947i | −0.130535 | + | 0.0858543i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.591608 | − | 1.37150i | 0.0459177 | − | 0.106449i | ||||
\(167\) | 15.3368 | − | 16.2561i | 1.18680 | − | 1.25793i | 0.228060 | − | 0.973647i | \(-0.426762\pi\) |
0.958739 | − | 0.284286i | \(-0.0917566\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.3070 | + | 1.32159i | 0.869766 | + | 0.101661i | ||||
\(170\) | −0.119403 | − | 0.677168i | −0.00915779 | − | 0.0519364i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.793626 | − | 4.50088i | 0.0605134 | − | 0.343189i | ||||
\(173\) | 1.00106 | − | 3.34376i | 0.0761089 | − | 0.254221i | −0.911465 | − | 0.411378i | \(-0.865048\pi\) |
0.987574 | + | 0.157157i | \(0.0502328\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.38306 | − | 23.7463i | 0.104550 | − | 1.79505i | ||||
\(176\) | −15.9474 | + | 8.00906i | −1.20208 | + | 0.603706i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.831352 | − | 0.881182i | −0.0623125 | − | 0.0660474i | ||||
\(179\) | −14.1428 | + | 5.14757i | −1.05709 | + | 0.384748i | −0.811332 | − | 0.584585i | \(-0.801257\pi\) |
−0.245753 | + | 0.969333i | \(0.579035\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.01428 | − | 0.733137i | −0.149720 | − | 0.0544936i | 0.266073 | − | 0.963953i | \(-0.414274\pi\) |
−0.415793 | + | 0.909459i | \(0.636496\pi\) | |||||||
\(182\) | 0.233324 | + | 0.540906i | 0.0172951 | + | 0.0400946i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.151175 | − | 0.504958i | −0.0111447 | − | 0.0372260i | ||||
\(185\) | −10.7769 | + | 1.25964i | −0.792332 | + | 0.0926103i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.437273 | + | 7.50769i | 0.0319766 | + | 0.549017i | ||||
\(188\) | 9.45428 | + | 16.3753i | 0.689524 | + | 1.19429i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.920870 | − | 1.59499i | 0.0668069 | − | 0.115713i | ||||
\(191\) | −18.6097 | − | 9.34613i | −1.34655 | − | 0.676262i | −0.378168 | − | 0.925737i | \(-0.623446\pi\) |
−0.968381 | + | 0.249475i | \(0.919742\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.41707 | + | 11.3061i | 0.605874 | + | 0.813830i | 0.994184 | − | 0.107699i | \(-0.0343484\pi\) |
−0.388310 | + | 0.921529i | \(0.626941\pi\) | |||||||
\(194\) | −1.13252 | − | 0.268413i | −0.0813104 | − | 0.0192709i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.28764 | + | 11.1322i | −0.591974 | + | 0.795159i | ||||
\(197\) | 1.46772 | − | 1.23157i | 0.104571 | − | 0.0877455i | −0.589003 | − | 0.808131i | \(-0.700479\pi\) |
0.693574 | + | 0.720385i | \(0.256035\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 12.3341 | + | 10.3495i | 0.874339 | + | 0.733658i | 0.965007 | − | 0.262223i | \(-0.0844557\pi\) |
−0.0906679 | + | 0.995881i | \(0.528900\pi\) | |||||||
\(200\) | −3.05418 | + | 0.723853i | −0.215963 | + | 0.0511841i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.566696 | + | 0.372722i | 0.0398726 | + | 0.0262246i | ||||
\(203\) | 5.63565 | + | 3.70662i | 0.395545 | + | 0.260154i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.30616 | − | 0.783574i | 0.230912 | − | 0.0547272i | ||||
\(206\) | −0.222503 | − | 0.186703i | −0.0155025 | − | 0.0130082i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.80589 | + | 3.19352i | −0.263891 | + | 0.221431i | ||||
\(209\) | −12.0286 | + | 16.1572i | −0.832036 | + | 1.11762i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.75461 | + | 0.889860i | 0.258478 | + | 0.0612605i | 0.357812 | − | 0.933794i | \(-0.383523\pi\) |
−0.0993336 | + | 0.995054i | \(0.531671\pi\) | |||||||
\(212\) | 3.41273 | + | 4.58409i | 0.234387 | + | 0.314837i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.30268 | + | 0.654231i | 0.0890494 | + | 0.0447223i | ||||
\(215\) | −3.88059 | + | 6.72138i | −0.264654 | + | 0.458394i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 12.6947 | + | 21.9879i | 0.861775 | + | 1.49264i | ||||
\(218\) | −0.00305098 | − | 0.0523834i | −0.000206639 | − | 0.00354785i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 30.3363 | − | 3.54580i | 2.04527 | − | 0.239058i | ||||
\(221\) | 0.600480 | + | 2.00574i | 0.0403927 | + | 0.134921i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.18505 | + | 2.74725i | 0.0793567 | + | 0.183970i | 0.953275 | − | 0.302103i | \(-0.0976885\pi\) |
−0.873919 | + | 0.486072i | \(0.838429\pi\) | |||||||
\(224\) | 5.17198 | + | 1.88245i | 0.345567 | + | 0.125776i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.59813 | − | 0.581672i | 0.106306 | − | 0.0386923i | ||||
\(227\) | −16.4925 | − | 17.4810i | −1.09465 | − | 1.16026i | −0.986098 | − | 0.166167i | \(-0.946861\pi\) |
−0.108549 | − | 0.994091i | \(-0.534620\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.22971 | + | 2.12424i | −0.279507 | + | 0.140374i | −0.583031 | − | 0.812450i | \(-0.698133\pi\) |
0.303523 | + | 0.952824i | \(0.401837\pi\) | |||||||
\(230\) | −0.0259228 | + | 0.445077i | −0.00170930 | + | 0.0293475i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.255281 | − | 0.852697i | 0.0167600 | − | 0.0559823i | ||||
\(233\) | −1.81475 | + | 10.2920i | −0.118888 | + | 0.674250i | 0.865863 | + | 0.500282i | \(0.166770\pi\) |
−0.984751 | + | 0.173968i | \(0.944341\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.57584 | − | 31.6222i | −0.363728 | − | 2.06280i | ||||
\(236\) | −20.9927 | − | 2.45370i | −1.36651 | − | 0.159722i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.523731 | − | 0.555123i | 0.0339485 | − | 0.0359833i | ||||
\(239\) | −6.26895 | + | 14.5331i | −0.405504 | + | 0.940065i | 0.586038 | + | 0.810283i | \(0.300687\pi\) |
−0.991543 | + | 0.129782i | \(0.958572\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.7387 | + | 9.69379i | −0.949402 | + | 0.624432i | −0.926897 | − | 0.375315i | \(-0.877535\pi\) |
−0.0225049 | + | 0.999747i | \(0.507164\pi\) | |||||||
\(242\) | 1.22024 | 0.0784402 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −10.5358 | −0.674487 | ||||||||
\(245\) | 19.6908 | − | 12.9508i | 1.25800 | − | 0.827399i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.22117 | + | 5.14924i | −0.141329 | + | 0.327638i | ||||
\(248\) | 2.29912 | − | 2.43692i | 0.145994 | − | 0.154745i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.563482 | + | 0.0658616i | 0.0356377 | + | 0.00416545i | ||||
\(251\) | −3.58499 | − | 20.3315i | −0.226282 | − | 1.28331i | −0.860218 | − | 0.509926i | \(-0.829673\pi\) |
0.633936 | − | 0.773386i | \(-0.281438\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.846717 | − | 4.80197i | 0.0532326 | − | 0.301897i | ||||
\(254\) | −0.128669 | + | 0.429785i | −0.00807342 | + | 0.0269671i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.859754 | + | 14.7614i | −0.0537346 | + | 0.922588i | ||||
\(257\) | 6.51246 | − | 3.27068i | 0.406236 | − | 0.204019i | −0.233934 | − | 0.972252i | \(-0.575160\pi\) |
0.640170 | + | 0.768233i | \(0.278864\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.26425 | − | 8.75959i | −0.513515 | − | 0.544294i | ||||
\(260\) | 7.99038 | − | 2.90826i | 0.495542 | − | 0.180363i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.727519 | + | 0.264795i | 0.0449463 | + | 0.0163591i | ||||
\(263\) | −4.13582 | − | 9.58791i | −0.255026 | − | 0.591216i | 0.741818 | − | 0.670601i | \(-0.233964\pi\) |
−0.996844 | + | 0.0793849i | \(0.974704\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.78342 | − | 9.29726i | −0.170984 | − | 0.571126i | ||||
\(266\) | 2.03034 | − | 0.237313i | 0.124488 | − | 0.0145506i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.350926 | − | 6.02517i | −0.0214362 | − | 0.368046i | ||||
\(269\) | −11.1578 | − | 19.3259i | −0.680304 | − | 1.17832i | −0.974888 | − | 0.222695i | \(-0.928515\pi\) |
0.294585 | − | 0.955625i | \(-0.404819\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.6312 | − | 20.1458i | 0.706544 | − | 1.22377i | −0.259588 | − | 0.965720i | \(-0.583587\pi\) |
0.966132 | − | 0.258050i | \(-0.0830800\pi\) | |||||||
\(272\) | 5.75197 | + | 2.88875i | 0.348764 | + | 0.175156i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.21143 | − | 1.62723i | −0.0731850 | − | 0.0983046i | ||||
\(275\) | −28.2532 | − | 6.69613i | −1.70373 | − | 0.403792i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.29170 | − | 7.10799i | 0.317948 | − | 0.427078i | −0.614203 | − | 0.789148i | \(-0.710522\pi\) |
0.932151 | + | 0.362070i | \(0.117930\pi\) | |||||||
\(278\) | 1.85449 | − | 1.55610i | 0.111225 | − | 0.0933287i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −4.76714 | − | 4.00011i | −0.284891 | − | 0.239052i | ||||
\(281\) | 20.9045 | − | 4.95445i | 1.24706 | − | 0.295558i | 0.446483 | − | 0.894792i | \(-0.352676\pi\) |
0.800574 | + | 0.599234i | \(0.204528\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.511009 | + | 0.336096i | 0.0303763 | + | 0.0199788i | 0.564606 | − | 0.825360i | \(-0.309028\pi\) |
−0.534230 | + | 0.845339i | \(0.679398\pi\) | |||||||
\(284\) | −3.31056 | − | 2.17739i | −0.196446 | − | 0.129204i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.699702 | − | 0.165832i | 0.0413742 | − | 0.00980587i | ||||
\(287\) | 2.88890 | + | 2.42407i | 0.170526 | + | 0.143088i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.9449 | + | 9.18383i | −0.643815 | + | 0.540225i | ||||
\(290\) | −0.449573 | + | 0.603881i | −0.0263998 | + | 0.0354611i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −31.1517 | − | 7.38309i | −1.82302 | − | 0.432063i | ||||
\(293\) | 18.4868 | + | 24.8321i | 1.08001 | + | 1.45071i | 0.882443 | + | 0.470419i | \(0.155897\pi\) |
0.197569 | + | 0.980289i | \(0.436695\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 32.0742 | + | 16.1083i | 1.86743 | + | 0.937860i | ||||
\(296\) | −0.794559 | + | 1.37622i | −0.0461828 | + | 0.0799910i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.253662 | + | 0.439356i | 0.0146943 | + | 0.0254512i | ||||
\(299\) | −0.0789318 | − | 1.35521i | −0.00456474 | − | 0.0783736i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.55594 | + | 1.00005i | −0.493156 | + | 0.0576417i | ||||
\(302\) | −0.315063 | − | 1.05238i | −0.0181298 | − | 0.0605578i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 6.82847 | + | 15.8302i | 0.391640 | + | 0.907923i | ||||
\(305\) | 16.8127 | + | 6.11931i | 0.962690 | + | 0.350391i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −21.3773 | + | 7.78069i | −1.22007 | + | 0.444068i | −0.870184 | − | 0.492726i | \(-0.836000\pi\) |
−0.349882 | + | 0.936794i | \(0.613778\pi\) | |||||||
\(308\) | 23.2634 | + | 24.6577i | 1.32555 | + | 1.40500i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.53232 | + | 1.27178i | −0.143826 | + | 0.0722323i | ||||
\(311\) | 1.78117 | − | 30.5816i | 0.101001 | − | 1.73412i | −0.444298 | − | 0.895879i | \(-0.646547\pi\) |
0.545299 | − | 0.838242i | \(-0.316416\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.54199 | − | 21.8518i | 0.369775 | − | 1.23513i | −0.547475 | − | 0.836822i | \(-0.684411\pi\) |
0.917250 | − | 0.398312i | \(-0.130404\pi\) | |||||||
\(314\) | 0.114062 | − | 0.646878i | 0.00643689 | − | 0.0365054i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.93647 | + | 10.9823i | 0.108935 | + | 0.617801i | ||||
\(317\) | 7.96795 | + | 0.931320i | 0.447525 | + | 0.0523081i | 0.336871 | − | 0.941551i | \(-0.390631\pi\) |
0.110654 | + | 0.993859i | \(0.464706\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.65047 | − | 5.98915i | 0.316365 | − | 0.335328i | ||||
\(320\) | 10.1907 | − | 23.6247i | 0.569679 | − | 1.32066i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.413426 | + | 0.271915i | −0.0230393 | + | 0.0151532i | ||||
\(323\) | 7.26530 | 0.404252 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −8.08365 | −0.448400 | ||||||||
\(326\) | 0.503680 | − | 0.331275i | 0.0278962 | − | 0.0183476i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.197102 | − | 0.456933i | 0.0108831 | − | 0.0252299i | ||||
\(329\) | 24.4570 | − | 25.9230i | 1.34836 | − | 1.42918i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −18.2750 | − | 2.13604i | −1.00448 | − | 0.117407i | −0.402085 | − | 0.915602i | \(-0.631714\pi\) |
−0.602399 | + | 0.798195i | \(0.705788\pi\) | |||||||
\(332\) | −4.15540 | − | 23.5665i | −0.228057 | − | 1.29338i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.480753 | + | 2.72648i | −0.0263056 | + | 0.149187i | ||||
\(335\) | −2.93948 | + | 9.81855i | −0.160601 | + | 0.536445i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.55141 | + | 26.6366i | −0.0845105 | + | 1.45099i | 0.643512 | + | 0.765436i | \(0.277477\pi\) |
−0.728022 | + | 0.685553i | \(0.759560\pi\) | |||||||
\(338\) | −1.26021 | + | 0.632903i | −0.0685466 | + | 0.0344254i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −7.55986 | − | 8.01298i | −0.409991 | − | 0.434565i | ||||
\(341\) | 29.1235 | − | 10.6001i | 1.57712 | − | 0.574026i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.0250188 | − | 0.00910611i | −0.00135089 | − | 0.000491683i | ||||
\(344\) | 0.450222 | + | 1.04373i | 0.0242744 | + | 0.0562743i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.124009 | + | 0.414217i | 0.00666674 | + | 0.0222685i | ||||
\(347\) | −24.3715 | + | 2.84862i | −1.30833 | + | 0.152922i | −0.741522 | − | 0.670929i | \(-0.765896\pi\) |
−0.566807 | + | 0.823850i | \(0.691822\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.975561 | − | 16.7497i | −0.0522206 | − | 0.896592i | −0.918102 | − | 0.396344i | \(-0.870279\pi\) |
0.865882 | − | 0.500249i | \(-0.166758\pi\) | |||||||
\(350\) | 1.47331 | + | 2.55185i | 0.0787517 | + | 0.136402i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.35926 | − | 5.81841i | 0.179049 | − | 0.310123i | ||||
\(353\) | 17.5821 | + | 8.83007i | 0.935802 | + | 0.469977i | 0.850263 | − | 0.526357i | \(-0.176443\pi\) |
0.0855386 | + | 0.996335i | \(0.472739\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.01822 | + | 5.39740i | 0.213265 | + | 0.286464i | ||||
\(356\) | −18.8857 | − | 4.47599i | −1.00094 | − | 0.237227i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.11335 | − | 1.49549i | 0.0588426 | − | 0.0790393i | ||||
\(359\) | −27.1083 | + | 22.7466i | −1.43072 | + | 1.20052i | −0.485436 | + | 0.874272i | \(0.661339\pi\) |
−0.945285 | + | 0.326245i | \(0.894216\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.352176 | + | 0.295511i | 0.0185356 | + | 0.0155532i | ||||
\(362\) | 0.258380 | − | 0.0612372i | 0.0135802 | − | 0.00321856i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.88512 | + | 5.18613i | 0.413293 | + | 0.271827i | ||||
\(365\) | 45.4225 | + | 29.8748i | 2.37752 | + | 1.56372i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 19.0674 | − | 4.51906i | 0.995312 | − | 0.235893i | 0.299484 | − | 0.954101i | \(-0.403186\pi\) |
0.695828 | + | 0.718208i | \(0.255037\pi\) | |||||||
\(368\) | −3.19696 | − | 2.68257i | −0.166653 | − | 0.139839i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.02964 | − | 0.863973i | 0.0535286 | − | 0.0449158i | ||||
\(371\) | 6.43236 | − | 8.64016i | 0.333952 | − | 0.448575i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 31.5367 | + | 7.47433i | 1.63291 | + | 0.387006i | 0.941914 | − | 0.335854i | \(-0.109025\pi\) |
0.690994 | + | 0.722860i | \(0.257173\pi\) | |||||||
\(374\) | −0.556320 | − | 0.747268i | −0.0287666 | − | 0.0386403i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.20258 | − | 2.11062i | −0.216732 | − | 0.108847i | ||||
\(377\) | 1.14617 | − | 1.98523i | 0.0590309 | − | 0.102245i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7.22233 | + | 12.5094i | 0.370986 | + | 0.642567i | 0.989718 | − | 0.143036i | \(-0.0456863\pi\) |
−0.618731 | + | 0.785603i | \(0.712353\pi\) | |||||||
\(380\) | −1.71566 | − | 29.4568i | −0.0880115 | − | 1.51110i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 2.56228 | − | 0.299487i | 0.131098 | − | 0.0153231i | ||||
\(383\) | 6.27015 | + | 20.9437i | 0.320390 | + | 1.07018i | 0.954817 | + | 0.297193i | \(0.0960506\pi\) |
−0.634428 | + | 0.772982i | \(0.718764\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −22.8013 | − | 52.8594i | −1.16206 | − | 2.69397i | ||||
\(386\) | −1.64078 | − | 0.597194i | −0.0835134 | − | 0.0303964i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −17.5223 | + | 6.37760i | −0.889561 | + | 0.323774i | ||||
\(389\) | 12.8716 | + | 13.6431i | 0.652617 | + | 0.691734i | 0.966190 | − | 0.257830i | \(-0.0830076\pi\) |
−0.313573 | + | 0.949564i | \(0.601526\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.57165 | + | 0.789311i | −0.0794816 | + | 0.0399172i | ||||
\(392\) | 0.200702 | − | 3.44592i | 0.0101370 | − | 0.174045i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.0680719 | + | 0.227376i | −0.00342941 | + | 0.0114550i | ||||
\(395\) | 3.28846 | − | 18.6498i | 0.165461 | − | 0.938374i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.33925 | − | 18.9379i | −0.167592 | − | 0.950463i | −0.946351 | − | 0.323140i | \(-0.895262\pi\) |
0.778759 | − | 0.627323i | \(-0.215850\pi\) | |||||||
\(398\) | −1.98107 | − | 0.231554i | −0.0993019 | − | 0.0116067i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −17.0540 | + | 18.0762i | −0.852702 | + | 0.903811i | ||||
\(401\) | −1.78850 | + | 4.14622i | −0.0893137 | + | 0.207052i | −0.957018 | − | 0.290028i | \(-0.906335\pi\) |
0.867704 | + | 0.497080i | \(0.165595\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.20892 | − | 4.74138i | 0.359102 | − | 0.236185i | ||||
\(404\) | 10.8668 | 0.540643 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.835597 | −0.0414700 | ||||||||
\(407\) | −12.2820 | + | 8.07801i | −0.608797 | + | 0.400412i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 14.1854 | − | 32.8854i | 0.701422 | − | 1.62608i | −0.0760060 | − | 0.997107i | \(-0.524217\pi\) |
0.777428 | − | 0.628972i | \(-0.216524\pi\) | |||||||
\(410\) | −0.288843 | + | 0.306155i | −0.0142649 | + | 0.0151199i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.62198 | − | 0.540232i | −0.227709 | − | 0.0266153i | ||||
\(413\) | 6.91757 | + | 39.2315i | 0.340392 | + | 1.93046i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.05659 | + | 40.0199i | −0.346395 | + | 1.96450i | ||||
\(416\) | 0.536452 | − | 1.79187i | 0.0263017 | − | 0.0878539i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.145087 | − | 2.49105i | 0.00709646 | − | 0.121841i | ||||
\(419\) | 22.2824 | − | 11.1906i | 1.08857 | − | 0.546698i | 0.188332 | − | 0.982105i | \(-0.439692\pi\) |
0.900233 | + | 0.435408i | \(0.143396\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 24.7669 | + | 26.2513i | 1.20706 | + | 1.27941i | 0.949723 | + | 0.313092i | \(0.101365\pi\) |
0.257340 | + | 0.966321i | \(0.417154\pi\) | |||||||
\(422\) | −0.449170 | + | 0.163485i | −0.0218653 | + | 0.00795831i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.33566 | − | 0.486141i | −0.0648655 | − | 0.0236091i | ||||
\(425\) | 4.14806 | + | 9.61629i | 0.201211 | + | 0.466458i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.69536 | + | 19.0238i | 0.275618 | + | 0.920628i | ||||
\(428\) | 23.1966 | − | 2.71129i | 1.12125 | − | 0.131055i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.0559026 | − | 0.959810i | −0.00269586 | − | 0.0462862i | ||||
\(431\) | 12.8170 | + | 22.1998i | 0.617375 | + | 1.06933i | 0.989963 | + | 0.141329i | \(0.0451374\pi\) |
−0.372587 | + | 0.927997i | \(0.621529\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.49590 | + | 4.32302i | −0.119945 | + | 0.207751i | −0.919746 | − | 0.392515i | \(-0.871605\pi\) |
0.799801 | + | 0.600266i | \(0.204939\pi\) | |||||||
\(434\) | −2.81064 | − | 1.41156i | −0.134915 | − | 0.0677570i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.502008 | − | 0.674313i | −0.0240418 | − | 0.0322937i | ||||
\(437\) | −4.58366 | − | 1.08635i | −0.219266 | − | 0.0519670i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.00946 | − | 2.69917i | 0.0959061 | − | 0.128824i | −0.751580 | − | 0.659642i | \(-0.770708\pi\) |
0.847486 | + | 0.530818i | \(0.178115\pi\) | |||||||
\(440\) | −5.81918 | + | 4.88287i | −0.277418 | + | 0.232782i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.198684 | − | 0.166715i | −0.00945041 | − | 0.00792984i | ||||
\(443\) | −13.0248 | + | 3.08693i | −0.618825 | + | 0.146664i | −0.528059 | − | 0.849208i | \(-0.677080\pi\) |
−0.0907666 | + | 0.995872i | \(0.528932\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 27.5373 | + | 18.1116i | 1.30540 | + | 0.858572i | ||||
\(446\) | −0.309661 | − | 0.203667i | −0.0146629 | − | 0.00964393i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 27.7870 | − | 6.58564i | 1.31281 | − | 0.311142i | ||||
\(449\) | −25.1690 | − | 21.1193i | −1.18780 | − | 0.996683i | −0.999895 | − | 0.0144961i | \(-0.995386\pi\) |
−0.187906 | − | 0.982187i | \(-0.560170\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.52643 | − | 2.95903i | 0.166053 | − | 0.139335i | ||||
\(452\) | 16.2708 | − | 21.8554i | 0.765313 | − | 1.02799i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.89692 | + | 0.686582i | 0.135959 | + | 0.0322229i | ||||
\(455\) | −9.57062 | − | 12.8556i | −0.448678 | − | 0.602679i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −18.9412 | − | 9.51261i | −0.886031 | − | 0.444981i | −0.0532479 | − | 0.998581i | \(-0.516957\pi\) |
−0.832783 | + | 0.553600i | \(0.813254\pi\) | |||||||
\(458\) | 0.293167 | − | 0.507780i | 0.0136988 | − | 0.0237270i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.57135 | + | 6.18576i | 0.166515 | + | 0.288413i | ||||
\(461\) | −0.964285 | − | 16.5561i | −0.0449112 | − | 0.771096i | −0.943309 | − | 0.331914i | \(-0.892305\pi\) |
0.898398 | − | 0.439182i | \(-0.144732\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.39720 | + | 0.397076i | −0.157881 | + | 0.0184537i | −0.194666 | − | 0.980870i | \(-0.562362\pi\) |
0.0367850 | + | 0.999323i | \(0.488288\pi\) | |||||||
\(464\) | −2.02119 | − | 6.75124i | −0.0938313 | − | 0.313418i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.512771 | − | 1.18874i | −0.0237536 | − | 0.0550671i | ||||
\(467\) | 8.87582 | + | 3.23054i | 0.410724 | + | 0.149491i | 0.539115 | − | 0.842232i | \(-0.318759\pi\) |
−0.128391 | + | 0.991724i | \(0.540981\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.6895 | + | 3.89067i | −0.493597 | + | 0.179655i | ||||
\(470\) | 2.72967 | + | 2.89328i | 0.125910 | + | 0.133457i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.69756 | − | 2.35921i | 0.216223 | − | 0.108591i | ||||
\(473\) | −0.611405 | + | 10.4974i | −0.0281124 | + | 0.482672i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.04507 | + | 26.8724i | −0.369133 | + | 1.23299i | ||||
\(476\) | 2.12321 | − | 12.0413i | 0.0973173 | − | 0.551914i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.340467 | − | 1.93089i | −0.0155726 | − | 0.0883166i | ||||
\(479\) | −18.1464 | − | 2.12101i | −0.829130 | − | 0.0969114i | −0.309068 | − | 0.951040i | \(-0.600017\pi\) |
−0.520062 | + | 0.854128i | \(0.674091\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.80853 | + | 2.97687i | −0.128058 | + | 0.135734i | ||||
\(482\) | 0.865554 | − | 2.00658i | 0.0394249 | − | 0.0913972i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 16.3335 | − | 10.7427i | 0.742430 | − | 0.488304i | ||||
\(485\) | 31.6656 | 1.43786 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 31.2157 | 1.41452 | 0.707260 | − | 0.706954i | \(-0.249931\pi\) | ||||
0.707260 | + | 0.706954i | \(0.249931\pi\) | |||||||
\(488\) | 2.18931 | − | 1.43993i | 0.0991055 | − | 0.0651827i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.15638 | + | 2.68078i | −0.0522397 | + | 0.121105i | ||||
\(491\) | −1.50047 | + | 1.59041i | −0.0677154 | + | 0.0717741i | −0.760346 | − | 0.649519i | \(-0.774970\pi\) |
0.692630 | + | 0.721293i | \(0.256452\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.94977 | − | 0.344779i | −0.132851 | − | 0.0155281i | ||||
\(494\) | −0.120632 | − | 0.684137i | −0.00542748 | − | 0.0307808i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4.60620 | − | 26.1231i | 0.206825 | − | 1.17296i | ||||
\(497\) | −2.14197 | + | 7.15469i | −0.0960807 | + | 0.320932i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.0365869 | + | 0.628173i | −0.00163785 | + | 0.0281209i | −0.999028 | − | 0.0440786i | \(-0.985965\pi\) |
0.997390 | + | 0.0721995i | \(0.0230018\pi\) | |||||||
\(500\) | 8.12227 | − | 4.07916i | 0.363239 | − | 0.182425i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.75504 | + | 1.86024i | 0.0783314 | + | 0.0830264i | ||||
\(503\) | 5.84089 | − | 2.12591i | 0.260432 | − | 0.0947897i | −0.208504 | − | 0.978021i | \(-0.566859\pi\) |
0.468937 | + | 0.883232i | \(0.344637\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −17.3408 | − | 6.31154i | −0.771656 | − | 0.280860i | ||||
\(506\) | 0.239245 | + | 0.554633i | 0.0106358 | + | 0.0246565i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.06142 | + | 6.88562i | 0.0914606 | + | 0.305500i | ||||
\(509\) | −18.5886 | + | 2.17270i | −0.823927 | + | 0.0963032i | −0.517600 | − | 0.855623i | \(-0.673174\pi\) |
−0.306327 | + | 0.951926i | \(0.599100\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.50856 | + | 60.2396i | 0.155209 | + | 2.66484i | ||||
\(512\) | −4.80425 | − | 8.32121i | −0.212320 | − | 0.367749i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.451387 | + | 0.781825i | −0.0199098 | + | 0.0344848i | ||||
\(515\) | 7.06180 | + | 3.54657i | 0.311180 | + | 0.156281i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −25.9789 | − | 34.8957i | −1.14255 | − | 1.53471i | ||||
\(518\) | 1.45162 | + | 0.344040i | 0.0637804 | + | 0.0151162i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.26290 | + | 1.69637i | −0.0553820 | + | 0.0743909i | ||||
\(521\) | −10.7516 | + | 9.02171i | −0.471038 | + | 0.395248i | −0.847173 | − | 0.531317i | \(-0.821697\pi\) |
0.376135 | + | 0.926565i | \(0.377253\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −15.7777 | − | 13.2390i | −0.689910 | − | 0.578903i | 0.228973 | − | 0.973433i | \(-0.426463\pi\) |
−0.918883 | + | 0.394530i | \(0.870908\pi\) | |||||||
\(524\) | 12.0693 | − | 2.86048i | 0.527251 | − | 0.124961i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.08072 | + | 0.710799i | 0.0471215 | + | 0.0309923i | ||||
\(527\) | −9.33954 | − | 6.14271i | −0.406837 | − | 0.267581i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −21.2705 | + | 5.04119i | −0.924803 | + | 0.219182i | ||||
\(530\) | 0.920961 | + | 0.772778i | 0.0400040 | + | 0.0335673i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 25.0877 | − | 21.0511i | 1.08769 | − | 0.912680i | ||||
\(533\) | 0.765321 | − | 1.02800i | 0.0331497 | − | 0.0445278i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −38.5909 | − | 9.14622i | −1.66843 | − | 0.395426i | ||||
\(536\) | 0.896382 | + | 1.20405i | 0.0387178 | + | 0.0520070i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 2.47036 | + | 1.24066i | 0.106505 | + | 0.0534888i | ||||
\(539\) | 15.9655 | − | 27.6531i | 0.687684 | − | 1.19110i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −19.2442 | − | 33.3319i | −0.827372 | − | 1.43305i | −0.900093 | − | 0.435698i | \(-0.856502\pi\) |
0.0727213 | − | 0.997352i | \(-0.476832\pi\) | |||||||
\(542\) | 0.167555 | + | 2.87681i | 0.00719711 | + | 0.123570i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −2.40689 | + | 0.281325i | −0.103194 | + | 0.0120617i | ||||
\(545\) | 0.409437 | + | 1.36761i | 0.0175383 | + | 0.0585821i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.31275 | + | 16.9529i | 0.312671 | + | 0.724852i | 0.999999 | − | 0.00149506i | \(-0.000475892\pi\) |
−0.687328 | + | 0.726347i | \(0.741217\pi\) | |||||||
\(548\) | −30.5412 | − | 11.1161i | −1.30465 | − | 0.474855i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 3.37997 | − | 1.23021i | 0.144123 | − | 0.0524563i | ||||
\(551\) | −5.45878 | − | 5.78597i | −0.232552 | − | 0.246491i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 18.7832 | − | 9.43326i | 0.798741 | − | 0.401143i | ||||
\(554\) | −0.0638278 | + | 1.09588i | −0.00271178 | + | 0.0465595i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 11.1236 | − | 37.1555i | 0.471746 | − | 1.57574i | ||||
\(557\) | 1.24763 | − | 7.07568i | 0.0528639 | − | 0.299806i | −0.946900 | − | 0.321528i | \(-0.895804\pi\) |
0.999764 | + | 0.0217217i | \(0.00691477\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.508348 | + | 2.88298i | 0.0215008 | + | 0.121937i | ||||
\(560\) | −48.9380 | − | 5.72004i | −2.06801 | − | 0.241716i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.82632 | + | 1.93578i | −0.0770386 | + | 0.0816561i | ||||
\(563\) | −12.1926 | + | 28.2655i | −0.513855 | + | 1.19125i | 0.441894 | + | 0.897067i | \(0.354307\pi\) |
−0.955749 | + | 0.294183i | \(0.904952\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −38.6581 | + | 25.4258i | −1.62636 | + | 1.06967i | ||||
\(566\) | −0.0757672 | −0.00318473 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.985508 | 0.0413510 | ||||||||
\(569\) | 25.2451 | − | 16.6040i | 1.05833 | − | 0.696075i | 0.103925 | − | 0.994585i | \(-0.466860\pi\) |
0.954407 | + | 0.298510i | \(0.0964896\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.12787 | + | 7.25122i | −0.130897 | + | 0.303454i | −0.971042 | − | 0.238908i | \(-0.923211\pi\) |
0.840145 | + | 0.542362i | \(0.182470\pi\) | |||||||
\(572\) | 7.90585 | − | 8.37972i | 0.330560 | − | 0.350374i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.464007 | − | 0.0542346i | −0.0193673 | − | 0.00226371i | ||||
\(575\) | −1.17912 | − | 6.68713i | −0.0491728 | − | 0.278873i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.81528 | + | 10.2950i | −0.0755710 | + | 0.428585i | 0.923425 | + | 0.383780i | \(0.125378\pi\) |
−0.998996 | + | 0.0448050i | \(0.985733\pi\) | |||||||
\(578\) | 0.507614 | − | 1.69555i | 0.0211139 | − | 0.0705255i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.701315 | + | 12.0411i | −0.0291205 | + | 0.499980i | ||||
\(581\) | −40.3061 | + | 20.2425i | −1.67218 | + | 0.839800i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −9.02322 | − | 9.56405i | −0.373703 | − | 0.396102i | ||||
\(584\) | 7.48227 | − | 2.72332i | 0.309619 | − | 0.112692i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3.60373 | − | 1.31165i | −0.148869 | − | 0.0541837i | ||||
\(587\) | −5.96314 | − | 13.8241i | −0.246125 | − | 0.570582i | 0.749709 | − | 0.661768i | \(-0.230194\pi\) |
−0.995834 | + | 0.0911857i | \(0.970934\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.58722 | − | 28.6833i | −0.353830 | − | 1.18188i | ||||
\(590\) | −4.41615 | + | 0.516174i | −0.181810 | + | 0.0212505i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.731570 | + | 12.5606i | 0.0300674 | + | 0.516237i | ||||
\(593\) | 9.50914 | + | 16.4703i | 0.390494 | + | 0.676355i | 0.992515 | − | 0.122125i | \(-0.0389710\pi\) |
−0.602021 | + | 0.798480i | \(0.705638\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −10.3819 | + | 17.9819i | −0.425615 | + | 0.737187i | ||||
\(596\) | 7.26334 | + | 3.64779i | 0.297518 | + | 0.149419i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.100421 | + | 0.134888i | 0.00410651 | + | 0.00551600i | ||||
\(599\) | −38.7477 | − | 9.18337i | −1.58319 | − | 0.375222i | −0.657482 | − | 0.753470i | \(-0.728379\pi\) |
−0.925704 | + | 0.378248i | \(0.876527\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.33430 | − | 4.47874i | 0.136009 | − | 0.182691i | −0.728901 | − | 0.684620i | \(-0.759968\pi\) |
0.864909 | + | 0.501928i | \(0.167376\pi\) | |||||||
\(602\) | 0.817450 | − | 0.685922i | 0.0333168 | − | 0.0279561i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −13.4821 | − | 11.3129i | −0.548580 | − | 0.460314i | ||||
\(605\) | −32.3038 | + | 7.65613i | −1.31333 | + | 0.311266i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −11.7624 | − | 7.73624i | −0.477420 | − | 0.314004i | 0.287892 | − | 0.957663i | \(-0.407045\pi\) |
−0.765313 | + | 0.643658i | \(0.777416\pi\) | |||||||
\(608\) | −5.42282 | − | 3.56665i | −0.219925 | − | 0.144647i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.15663 | + | 0.511132i | −0.0873196 | + | 0.0206951i | ||||
\(611\) | −9.27806 | − | 7.78522i | −0.375350 | − | 0.314956i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −13.7550 | + | 11.5418i | −0.555561 | + | 0.466171i | −0.876819 | − | 0.480821i | \(-0.840339\pi\) |
0.321258 | + | 0.946992i | \(0.395894\pi\) | |||||||
\(614\) | 1.68287 | − | 2.26048i | 0.0679149 | − | 0.0912256i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −8.20403 | − | 1.94439i | −0.330550 | − | 0.0783417i | ||||
\(617\) | 20.4332 | + | 27.4466i | 0.822611 | + | 1.10496i | 0.992828 | + | 0.119552i | \(0.0381458\pi\) |
−0.170217 | + | 0.985407i | \(0.554447\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −30.9588 | − | 15.5481i | −1.24434 | − | 0.624931i | −0.300012 | − | 0.953935i | \(-0.596991\pi\) |
−0.944329 | + | 0.329004i | \(0.893287\pi\) | |||||||
\(620\) | −22.6998 | + | 39.3172i | −0.911646 | + | 1.57902i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1.89740 | + | 3.28639i | 0.0760787 | + | 0.131772i | ||||
\(623\) | 2.12706 | + | 36.5202i | 0.0852189 | + | 1.46315i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 16.2488 | − | 1.89921i | 0.649951 | − | 0.0759684i | ||||
\(626\) | 0.810406 | + | 2.70695i | 0.0323903 | + | 0.108191i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.16817 | − | 9.66290i | −0.166328 | − | 0.385592i | ||||
\(629\) | 4.98245 | + | 1.81347i | 0.198663 | + | 0.0723076i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 40.5340 | − | 14.7532i | 1.61363 | − | 0.587314i | 0.631478 | − | 0.775394i | \(-0.282449\pi\) |
0.982154 | + | 0.188080i | \(0.0602263\pi\) | |||||||
\(632\) | −1.90334 | − | 2.01742i | −0.0757109 | − | 0.0802488i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.888066 | + | 0.446003i | −0.0352696 | + | 0.0177131i | ||||
\(635\) | 0.709701 | − | 12.1851i | 0.0281636 | − | 0.483551i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.54959 | − | 8.51622i | 0.101018 | − | 0.337425i | ||||
\(638\) | −0.177121 | + | 1.00450i | −0.00701230 | + | 0.0397687i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.27566 | + | 12.9059i | 0.0899534 | + | 0.510151i | ||||
\(641\) | −4.77410 | − | 0.558012i | −0.188566 | − | 0.0220402i | 0.0212859 | − | 0.999773i | \(-0.493224\pi\) |
−0.209851 | + | 0.977733i | \(0.567298\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −5.69244 | + | 6.03363i | −0.224488 | + | 0.237943i | −0.829822 | − | 0.558028i | \(-0.811558\pi\) |
0.605334 | + | 0.795971i | \(0.293040\pi\) | |||||||
\(644\) | −3.14002 | + | 7.27938i | −0.123734 | + | 0.286848i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.751946 | + | 0.494563i | −0.0295849 | + | 0.0194583i | ||||
\(647\) | −24.6332 | −0.968431 | −0.484215 | − | 0.874949i | \(-0.660895\pi\) | ||||
−0.484215 | + | 0.874949i | \(0.660895\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 48.6281 | 1.90882 | ||||||||
\(650\) | 0.836644 | − | 0.550269i | 0.0328159 | − | 0.0215833i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.82551 | − | 8.86852i | 0.149818 | − | 0.347318i | ||||
\(653\) | −7.36051 | + | 7.80169i | −0.288039 | + | 0.305304i | −0.855195 | − | 0.518307i | \(-0.826562\pi\) |
0.567155 | + | 0.823611i | \(0.308044\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −20.9212 | − | 2.44533i | −0.817458 | − | 0.0955471i | ||||
\(656\) | −0.684175 | − | 3.88015i | −0.0267125 | − | 0.151494i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.766638 | + | 4.34782i | −0.0298867 | + | 0.169496i | ||||
\(659\) | −4.87841 | + | 16.2950i | −0.190036 | + | 0.634764i | 0.808870 | + | 0.587988i | \(0.200080\pi\) |
−0.998905 | + | 0.0467759i | \(0.985105\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.81584 | − | 31.1767i | 0.0706279 | − | 1.21263i | −0.757781 | − | 0.652509i | \(-0.773716\pi\) |
0.828409 | − | 0.560124i | \(-0.189247\pi\) | |||||||
\(662\) | 2.03683 | − | 1.02294i | 0.0791638 | − | 0.0397575i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.08431 | + | 4.32912i | 0.158502 | + | 0.168002i | ||||
\(665\) | −52.2606 | + | 19.0213i | −2.02658 | + | 0.737615i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.80945 | + | 0.658587i | 0.0700622 | + | 0.0255006i | ||||
\(668\) | 17.5681 | + | 40.7275i | 0.679732 | + | 1.57580i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.364136 | − | 1.21630i | −0.0140678 | − | 0.0469897i | ||||
\(671\) | 24.0765 | − | 2.81415i | 0.929465 | − | 0.108639i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.474625 | + | 8.14899i | 0.0182954 | + | 0.314121i | 0.995024 | + | 0.0996395i | \(0.0317690\pi\) |
−0.976728 | + | 0.214481i | \(0.931194\pi\) | |||||||
\(674\) | −1.65264 | − | 2.86245i | −0.0636572 | − | 0.110258i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −11.2966 | + | 19.5663i | −0.434484 | + | 0.752548i | ||||
\(677\) | −4.87031 | − | 2.44596i | −0.187181 | − | 0.0940060i | 0.352740 | − | 0.935721i | \(-0.385250\pi\) |
−0.539922 | + | 0.841715i | \(0.681546\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 20.9877 | + | 28.1913i | 0.805433 | + | 1.08188i | ||||
\(680\) | 2.66605 | + | 0.631866i | 0.102238 | + | 0.0242309i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.29266 | + | 3.07958i | −0.0877906 | + | 0.117923i | ||||
\(683\) | −2.37757 | + | 1.99502i | −0.0909753 | + | 0.0763374i | −0.687141 | − | 0.726524i | \(-0.741135\pi\) |
0.596166 | + | 0.802861i | \(0.296690\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 42.2801 | + | 35.4772i | 1.61544 | + | 1.35551i | ||||
\(686\) | 0.00320928 | 0.000760612i | 0.000122531 | 2.90403e-5i | ||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.51923 | + | 4.94548i | 0.286668 | + | 0.188544i | ||||
\(689\) | −3.05842 | − | 2.01155i | −0.116517 | − | 0.0766341i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 24.6994 | − | 5.85387i | 0.939610 | − | 0.222692i | 0.267850 | − | 0.963461i | \(-0.413687\pi\) |
0.671760 | + | 0.740769i | \(0.265539\pi\) | |||||||
\(692\) | 5.30656 | + | 4.45274i | 0.201725 | + | 0.169268i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.32850 | − | 1.95384i | 0.0883885 | − | 0.0741667i | ||||
\(695\) | −39.3309 | + | 52.8305i | −1.49191 | + | 2.00398i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.61563 | − | 0.382911i | −0.0611964 | − | 0.0145038i | ||||
\(698\) | 1.24115 | + | 1.66716i | 0.0469784 | + | 0.0631029i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 42.1866 | + | 21.1869i | 1.59451 | + | 0.800791i | ||||
\(701\) | 0.473675 | − | 0.820430i | 0.0178905 | − | 0.0309872i | −0.856942 | − | 0.515414i | \(-0.827638\pi\) |
0.874832 | + | 0.484426i | \(0.160972\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.10086 | + | 12.2991i | 0.267814 | + | 0.463868i | ||||
\(704\) | −2.02686 | − | 34.7998i | −0.0763901 | − | 1.31157i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.42080 | + | 0.282951i | −0.0911080 | + | 0.0106490i | ||||
\(707\) | −5.87427 | − | 19.6214i | −0.220925 | − | 0.737940i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.7765 | + | 29.6192i | 0.479831 | + | 1.11237i | 0.970516 | + | 0.241036i | \(0.0774871\pi\) |
−0.490686 | + | 0.871337i | \(0.663254\pi\) | |||||||
\(710\) | −0.783290 | − | 0.285094i | −0.0293963 | − | 0.0106994i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 4.53612 | − | 1.65101i | 0.169998 | − | 0.0618743i | ||||
\(713\) | 4.97380 | + | 5.27192i | 0.186270 | + | 0.197435i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −17.4829 | + | 8.78023i | −0.653822 | + | 0.328362i | ||||
\(716\) | 1.73679 | − | 29.8195i | 0.0649068 | − | 1.11441i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.25726 | − | 4.19954i | 0.0469206 | − | 0.156726i | ||||
\(719\) | −4.35548 | + | 24.7012i | −0.162432 | + | 0.921198i | 0.789241 | + | 0.614084i | \(0.210474\pi\) |
−0.951673 | + | 0.307114i | \(0.900637\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.52305 | + | 8.63763i | 0.0567213 | + | 0.321682i | ||||
\(722\) | −0.0565657 | − | 0.00661158i | −0.00210516 | − | 0.000246057i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 2.91941 | − | 3.09440i | 0.108499 | − | 0.115002i | ||||
\(725\) | 4.54162 | − | 10.5287i | 0.168671 | − | 0.391024i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 7.26093 | − | 4.77559i | 0.269293 | − | 0.177117i | −0.407680 | − | 0.913125i | \(-0.633662\pi\) |
0.676973 | + | 0.736008i | \(0.263292\pi\) | |||||||
\(728\) | −2.34729 | −0.0869964 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −6.73479 | −0.249266 | ||||||||
\(731\) | 3.16873 | − | 2.08411i | 0.117200 | − | 0.0770836i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.43532 | − | 7.96396i | 0.126886 | − | 0.294156i | −0.842917 | − | 0.538043i | \(-0.819164\pi\) |
0.969803 | + | 0.243888i | \(0.0784229\pi\) | |||||||
\(734\) | −1.66583 | + | 1.76567i | −0.0614867 | + | 0.0651721i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.56056 | + | 0.182404i | 0.0575231 | + | 0.00672349i | ||||
\(737\) | 2.41128 | + | 13.6750i | 0.0888205 | + | 0.503726i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.311908 | + | 1.76892i | −0.0114737 | + | 0.0650707i | −0.990007 | − | 0.141018i | \(-0.954962\pi\) |
0.978533 | + | 0.206089i | \(0.0660736\pi\) | |||||||
\(740\) | 6.17602 | − | 20.6293i | 0.227035 | − | 0.758349i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.0775863 | + | 1.33211i | −0.00284828 | + | 0.0489031i | ||||
\(743\) | 20.8516 | − | 10.4721i | 0.764972 | − | 0.384183i | −0.0231267 | − | 0.999733i | \(-0.507362\pi\) |
0.788098 | + | 0.615549i | \(0.211066\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −9.47189 | − | 10.0396i | −0.347023 | − | 0.367823i | ||||
\(746\) | −3.77279 | + | 1.37318i | −0.138132 | + | 0.0502758i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −14.0253 | − | 5.10480i | −0.512816 | − | 0.186650i | ||||
\(749\) | −17.4350 | − | 40.4189i | −0.637061 | − | 1.47687i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.56559 | − | 18.5904i | −0.203091 | − | 0.678373i | −0.997479 | − | 0.0709615i | \(-0.977393\pi\) |
0.794388 | − | 0.607411i | \(-0.207792\pi\) | |||||||
\(752\) | −36.9828 | + | 4.32267i | −1.34862 | + | 0.157631i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.0165114 | + | 0.283490i | 0.000601310 | + | 0.0103241i | ||||
\(755\) | 14.9437 | + | 25.8832i | 0.543855 | + | 0.941985i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −8.52025 | + | 14.7575i | −0.309674 | + | 0.536371i | −0.978291 | − | 0.207236i | \(-0.933553\pi\) |
0.668617 | + | 0.743607i | \(0.266886\pi\) | |||||||
\(758\) | −1.59904 | − | 0.803069i | −0.0580798 | − | 0.0291688i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.38237 | + | 5.88654i | 0.158965 | + | 0.213527i | ||||
\(761\) | 41.7260 | + | 9.88923i | 1.51256 | + | 0.358484i | 0.901389 | − | 0.433011i | \(-0.142549\pi\) |
0.611176 | + | 0.791495i | \(0.290697\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.946191 | + | 1.27096i | −0.0342544 | + | 0.0460117i | ||||
\(764\) | 31.6606 | − | 26.5664i | 1.14544 | − | 0.961137i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.07463 | − | 1.74082i | −0.0749594 | − | 0.0628984i | ||||
\(767\) | 13.1732 | − | 3.12212i | 0.475658 | − | 0.112733i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −23.8376 | − | 15.6782i | −0.859605 | − | 0.565371i | 0.0414182 | − | 0.999142i | \(-0.486812\pi\) |
−0.901023 | + | 0.433771i | \(0.857183\pi\) | |||||||
\(770\) | 5.95814 | + | 3.91873i | 0.214716 | + | 0.141221i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −27.2200 | + | 6.45127i | −0.979671 | + | 0.232186i | ||||
\(773\) | 31.5157 | + | 26.4448i | 1.13354 | + | 0.951155i | 0.999208 | − | 0.0397813i | \(-0.0126661\pi\) |
0.134334 | + | 0.990936i | \(0.457111\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 33.0622 | − | 27.7425i | 1.18763 | − | 0.996539i | ||||
\(776\) | 2.76945 | − | 3.72002i | 0.0994176 | − | 0.133541i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.26090 | − | 0.535844i | −0.0810573 | − | 0.0192109i | ||||
\(779\) | −2.65572 | − | 3.56725i | −0.0951511 | − | 0.127810i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.14691 | + | 4.09153i | 0.291519 | + | 0.146406i | ||||
\(782\) | 0.108933 | − | 0.188677i | 0.00389543 | − | 0.00674709i | ||||
\(783\) |