Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), 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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 83.7 | ||
Character | \(\chi\) | \(=\) | 144.83 |
Dual form | 144.2.u.a.59.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.845208 | − | 1.13385i | −0.597652 | − | 0.801755i | ||||
\(3\) | 1.38573 | − | 1.03912i | 0.800049 | − | 0.599935i | ||||
\(4\) | −0.571246 | + | 1.91668i | −0.285623 | + | 0.958342i | ||||
\(5\) | 0.310357 | − | 1.15827i | 0.138796 | − | 0.517994i | −0.861157 | − | 0.508339i | \(-0.830260\pi\) |
0.999953 | − | 0.00965542i | \(-0.00307346\pi\) | |||||||
\(6\) | −2.34943 | − | 0.692939i | −0.959152 | − | 0.282891i | ||||
\(7\) | 0.356047 | − | 0.616691i | 0.134573 | − | 0.233087i | −0.790861 | − | 0.611996i | \(-0.790367\pi\) |
0.925434 | + | 0.378908i | \(0.123700\pi\) | |||||||
\(8\) | 2.65606 | − | 0.972288i | 0.939059 | − | 0.343756i | ||||
\(9\) | 0.840471 | − | 2.87986i | 0.280157 | − | 0.959954i | ||||
\(10\) | −1.57562 | + | 0.627079i | −0.498256 | + | 0.198300i | ||||
\(11\) | −0.611314 | − | 2.28146i | −0.184318 | − | 0.687885i | −0.994775 | − | 0.102087i | \(-0.967448\pi\) |
0.810457 | − | 0.585798i | \(-0.199219\pi\) | |||||||
\(12\) | 1.20007 | + | 3.24959i | 0.346430 | + | 0.938076i | ||||
\(13\) | −1.31401 | + | 4.90394i | −0.364440 | + | 1.36011i | 0.503738 | + | 0.863857i | \(0.331958\pi\) |
−0.868178 | + | 0.496253i | \(0.834709\pi\) | |||||||
\(14\) | −1.00017 | + | 0.117528i | −0.267307 | + | 0.0314106i | ||||
\(15\) | −0.773508 | − | 1.92754i | −0.199719 | − | 0.497689i | ||||
\(16\) | −3.34736 | − | 2.18980i | −0.836839 | − | 0.547449i | ||||
\(17\) | − | 0.863180i | − | 0.209352i | −0.994506 | − | 0.104676i | \(-0.966619\pi\) | ||
0.994506 | − | 0.104676i | \(-0.0333806\pi\) | |||||||
\(18\) | −3.97571 | + | 1.48111i | −0.937085 | + | 0.349101i | ||||
\(19\) | −0.539682 | + | 0.539682i | −0.123811 | + | 0.123811i | −0.766297 | − | 0.642486i | \(-0.777903\pi\) |
0.642486 | + | 0.766297i | \(0.277903\pi\) | |||||||
\(20\) | 2.04275 | + | 1.25651i | 0.456772 | + | 0.280965i | ||||
\(21\) | −0.147431 | − | 1.22454i | −0.0321721 | − | 0.267216i | ||||
\(22\) | −2.07015 | + | 2.62145i | −0.441357 | + | 0.558894i | ||||
\(23\) | −0.689728 | + | 0.398215i | −0.143818 | + | 0.0830335i | −0.570182 | − | 0.821518i | \(-0.693128\pi\) |
0.426364 | + | 0.904552i | \(0.359794\pi\) | |||||||
\(24\) | 2.67025 | − | 4.10728i | 0.545063 | − | 0.838395i | ||||
\(25\) | 3.08486 | + | 1.78104i | 0.616972 | + | 0.356209i | ||||
\(26\) | 6.67096 | − | 2.65496i | 1.30828 | − | 0.520681i | ||||
\(27\) | −1.82785 | − | 4.86405i | −0.351770 | − | 0.936086i | ||||
\(28\) | 0.978612 | + | 1.03471i | 0.184940 | + | 0.195542i | ||||
\(29\) | 2.22809 | + | 8.31534i | 0.413746 | + | 1.54412i | 0.787335 | + | 0.616526i | \(0.211460\pi\) |
−0.373589 | + | 0.927594i | \(0.621873\pi\) | |||||||
\(30\) | −1.53177 | + | 2.50622i | −0.279662 | + | 0.457571i | ||||
\(31\) | 4.18508 | − | 2.41626i | 0.751663 | − | 0.433973i | −0.0746314 | − | 0.997211i | \(-0.523778\pi\) |
0.826295 | + | 0.563238i | \(0.190445\pi\) | |||||||
\(32\) | 0.346304 | + | 5.64624i | 0.0612184 | + | 0.998124i | ||||
\(33\) | −3.21781 | − | 2.52625i | −0.560150 | − | 0.439763i | ||||
\(34\) | −0.978720 | + | 0.729567i | −0.167849 | + | 0.125120i | ||||
\(35\) | −0.603793 | − | 0.603793i | −0.102060 | − | 0.102060i | ||||
\(36\) | 5.03967 | + | 3.25603i | 0.839945 | + | 0.542671i | ||||
\(37\) | −6.95600 | + | 6.95600i | −1.14356 | + | 1.14356i | −0.155765 | + | 0.987794i | \(0.549784\pi\) |
−0.987794 | + | 0.155765i | \(0.950216\pi\) | |||||||
\(38\) | 1.06806 | + | 0.155776i | 0.173263 | + | 0.0252703i | ||||
\(39\) | 3.27492 | + | 8.16093i | 0.524407 | + | 1.30679i | ||||
\(40\) | −0.301843 | − | 3.37819i | −0.0477256 | − | 0.534139i | ||||
\(41\) | 3.17027 | + | 5.49108i | 0.495114 | + | 0.857562i | 0.999984 | − | 0.00563304i | \(-0.00179306\pi\) |
−0.504870 | + | 0.863195i | \(0.668460\pi\) | |||||||
\(42\) | −1.26384 | + | 1.20216i | −0.195014 | + | 0.185497i | ||||
\(43\) | 12.0362 | − | 3.22509i | 1.83550 | − | 0.491822i | 0.837035 | − | 0.547150i | \(-0.184287\pi\) |
0.998468 | + | 0.0553283i | \(0.0176206\pi\) | |||||||
\(44\) | 4.72204 | + | 0.131577i | 0.711875 | + | 0.0198359i | ||||
\(45\) | −3.07481 | − | 1.86728i | −0.458366 | − | 0.278358i | ||||
\(46\) | 1.03448 | + | 0.445476i | 0.152526 | + | 0.0656818i | ||||
\(47\) | −1.31575 | + | 2.27895i | −0.191923 | + | 0.332420i | −0.945887 | − | 0.324495i | \(-0.894806\pi\) |
0.753965 | + | 0.656915i | \(0.228139\pi\) | |||||||
\(48\) | −6.91397 | + | 0.443836i | −0.997946 | + | 0.0640622i | ||||
\(49\) | 3.24646 | + | 5.62304i | 0.463780 | + | 0.803291i | ||||
\(50\) | −0.587906 | − | 5.00313i | −0.0831424 | − | 0.707550i | ||||
\(51\) | −0.896946 | − | 1.19613i | −0.125597 | − | 0.167492i | ||||
\(52\) | −8.64869 | − | 5.31990i | −1.19936 | − | 0.737737i | ||||
\(53\) | −8.87081 | − | 8.87081i | −1.21850 | − | 1.21850i | −0.968157 | − | 0.250342i | \(-0.919457\pi\) |
−0.250342 | − | 0.968157i | \(-0.580543\pi\) | |||||||
\(54\) | −3.97020 | + | 6.18365i | −0.540276 | + | 0.841488i | ||||
\(55\) | −2.83227 | −0.381903 | ||||||||
\(56\) | 0.346081 | − | 1.98415i | 0.0462470 | − | 0.265143i | ||||
\(57\) | −0.187058 | + | 1.30864i | −0.0247765 | + | 0.173334i | ||||
\(58\) | 7.54518 | − | 9.55452i | 0.990730 | − | 1.25457i | ||||
\(59\) | −12.7025 | − | 3.40363i | −1.65373 | − | 0.443115i | −0.693076 | − | 0.720865i | \(-0.743745\pi\) |
−0.960654 | + | 0.277749i | \(0.910412\pi\) | |||||||
\(60\) | 4.13635 | − | 0.381469i | 0.534001 | − | 0.0492474i | ||||
\(61\) | 0.548319 | − | 0.146922i | 0.0702051 | − | 0.0188114i | −0.223546 | − | 0.974693i | \(-0.571763\pi\) |
0.293751 | + | 0.955882i | \(0.405096\pi\) | |||||||
\(62\) | −6.27695 | − | 2.70303i | −0.797173 | − | 0.343285i | ||||
\(63\) | −1.47674 | − | 1.54368i | −0.186052 | − | 0.194485i | ||||
\(64\) | 6.10931 | − | 5.16491i | 0.763664 | − | 0.645614i | ||||
\(65\) | 5.27228 | + | 3.04395i | 0.653946 | + | 0.377556i | ||||
\(66\) | −0.144669 | + | 5.78373i | −0.0178075 | + | 0.711928i | ||||
\(67\) | −6.89625 | − | 1.84784i | −0.842511 | − | 0.225750i | −0.188347 | − | 0.982103i | \(-0.560313\pi\) |
−0.654164 | + | 0.756352i | \(0.726980\pi\) | |||||||
\(68\) | 1.65444 | + | 0.493089i | 0.200631 | + | 0.0597958i | ||||
\(69\) | −0.541982 | + | 1.26852i | −0.0652470 | + | 0.152712i | ||||
\(70\) | −0.174282 | + | 1.19494i | −0.0208307 | + | 0.142823i | ||||
\(71\) | 3.03550i | 0.360248i | 0.983644 | + | 0.180124i | \(0.0576499\pi\) | ||||
−0.983644 | + | 0.180124i | \(0.942350\pi\) | |||||||
\(72\) | −0.567712 | − | 8.46627i | −0.0669055 | − | 0.997759i | ||||
\(73\) | − | 11.6817i | − | 1.36724i | −0.729839 | − | 0.683619i | \(-0.760405\pi\) | ||
0.729839 | − | 0.683619i | \(-0.239595\pi\) | |||||||
\(74\) | 13.7663 | + | 2.00781i | 1.60031 | + | 0.233404i | ||||
\(75\) | 6.12548 | − | 0.737491i | 0.707310 | − | 0.0851581i | ||||
\(76\) | −0.726108 | − | 1.34269i | −0.0832903 | − | 0.154017i | ||||
\(77\) | −1.62461 | − | 0.435313i | −0.185142 | − | 0.0496085i | ||||
\(78\) | 6.48531 | − | 10.6110i | 0.734317 | − | 1.20145i | ||||
\(79\) | 0.841919 | + | 0.486082i | 0.0947233 | + | 0.0546885i | 0.546613 | − | 0.837385i | \(-0.315917\pi\) |
−0.451890 | + | 0.892074i | \(0.649250\pi\) | |||||||
\(80\) | −3.57525 | + | 3.19752i | −0.399725 | + | 0.357494i | ||||
\(81\) | −7.58722 | − | 4.84088i | −0.843024 | − | 0.537876i | ||||
\(82\) | 3.54653 | − | 8.23573i | 0.391649 | − | 0.909484i | ||||
\(83\) | −11.1696 | + | 2.99289i | −1.22602 | + | 0.328512i | −0.813030 | − | 0.582221i | \(-0.802184\pi\) |
−0.412994 | + | 0.910734i | \(0.635517\pi\) | |||||||
\(84\) | 2.43127 | + | 0.416935i | 0.265274 | + | 0.0454913i | ||||
\(85\) | −0.999796 | − | 0.267894i | −0.108443 | − | 0.0290572i | ||||
\(86\) | −13.8299 | − | 10.9214i | −1.49131 | − | 1.17769i | ||||
\(87\) | 11.7281 | + | 9.20754i | 1.25739 | + | 0.987152i | ||||
\(88\) | −3.84192 | − | 5.46531i | −0.409550 | − | 0.582604i | ||||
\(89\) | 4.35531 | 0.461662 | 0.230831 | − | 0.972994i | \(-0.425856\pi\) | ||||
0.230831 | + | 0.972994i | \(0.425856\pi\) | |||||||
\(90\) | 0.481635 | + | 5.06462i | 0.0507687 | + | 0.533858i | ||||
\(91\) | 2.55637 | + | 2.55637i | 0.267981 | + | 0.267981i | ||||
\(92\) | −0.369247 | − | 1.54947i | −0.0384967 | − | 0.161543i | ||||
\(93\) | 3.28860 | − | 7.69706i | 0.341012 | − | 0.798148i | ||||
\(94\) | 3.69609 | − | 0.434318i | 0.381222 | − | 0.0447965i | ||||
\(95\) | 0.457603 | + | 0.792591i | 0.0469490 | + | 0.0813181i | ||||
\(96\) | 6.34699 | + | 7.46430i | 0.647787 | + | 0.761821i | ||||
\(97\) | −2.89654 | + | 5.01695i | −0.294099 | + | 0.509395i | −0.974775 | − | 0.223190i | \(-0.928353\pi\) |
0.680676 | + | 0.732585i | \(0.261686\pi\) | |||||||
\(98\) | 3.63176 | − | 8.43365i | 0.366863 | − | 0.851927i | ||||
\(99\) | −7.08407 | − | 0.156998i | −0.711976 | − | 0.0157789i | ||||
\(100\) | −5.17591 | + | 4.89529i | −0.517591 | + | 0.489529i | ||||
\(101\) | 9.01216 | − | 2.41480i | 0.896744 | − | 0.240282i | 0.219127 | − | 0.975696i | \(-0.429679\pi\) |
0.677617 | + | 0.735415i | \(0.263013\pi\) | |||||||
\(102\) | −0.598132 | + | 2.02798i | −0.0592239 | + | 0.200800i | ||||
\(103\) | −2.02100 | − | 3.50047i | −0.199135 | − | 0.344911i | 0.749113 | − | 0.662442i | \(-0.230480\pi\) |
−0.948248 | + | 0.317530i | \(0.897146\pi\) | |||||||
\(104\) | 1.27796 | + | 14.3028i | 0.125314 | + | 1.40250i | ||||
\(105\) | −1.46410 | − | 0.209280i | −0.142882 | − | 0.0204236i | ||||
\(106\) | −2.56052 | + | 17.5559i | −0.248699 | + | 1.70518i | ||||
\(107\) | −7.91703 | + | 7.91703i | −0.765368 | + | 0.765368i | −0.977287 | − | 0.211919i | \(-0.932029\pi\) |
0.211919 | + | 0.977287i | \(0.432029\pi\) | |||||||
\(108\) | 10.3670 | − | 0.724844i | 0.997565 | − | 0.0697482i | ||||
\(109\) | −8.25467 | − | 8.25467i | −0.790654 | − | 0.790654i | 0.190946 | − | 0.981600i | \(-0.438844\pi\) |
−0.981600 | + | 0.190946i | \(0.938844\pi\) | |||||||
\(110\) | 2.39386 | + | 3.21138i | 0.228245 | + | 0.306193i | ||||
\(111\) | −2.41101 | + | 16.8672i | −0.228843 | + | 1.60096i | ||||
\(112\) | −2.54224 | + | 1.28461i | −0.240219 | + | 0.121385i | ||||
\(113\) | −6.70455 | + | 3.87087i | −0.630711 | + | 0.364141i | −0.781027 | − | 0.624497i | \(-0.785304\pi\) |
0.150316 | + | 0.988638i | \(0.451971\pi\) | |||||||
\(114\) | 1.64191 | − | 0.893979i | 0.153779 | − | 0.0837288i | ||||
\(115\) | 0.247178 | + | 0.922480i | 0.0230494 | + | 0.0860217i | ||||
\(116\) | −17.2107 | − | 0.479565i | −1.59797 | − | 0.0445265i | ||||
\(117\) | 13.0183 | + | 7.90579i | 1.20354 | + | 0.730890i | ||||
\(118\) | 6.87707 | + | 17.2796i | 0.633085 | + | 1.59072i | ||||
\(119\) | −0.532316 | − | 0.307333i | −0.0487973 | − | 0.0281731i | ||||
\(120\) | −3.92861 | − | 4.36760i | −0.358631 | − | 0.398705i | ||||
\(121\) | 4.69494 | − | 2.71063i | 0.426813 | − | 0.246421i | ||||
\(122\) | −0.630032 | − | 0.497534i | −0.0570404 | − | 0.0450446i | ||||
\(123\) | 10.0990 | + | 4.31484i | 0.910596 | + | 0.389056i | ||||
\(124\) | 2.24049 | + | 9.40176i | 0.201202 | + | 0.844303i | ||||
\(125\) | 7.25990 | − | 7.25990i | 0.649345 | − | 0.649345i | ||||
\(126\) | −0.502152 | + | 2.97913i | −0.0447352 | + | 0.265402i | ||||
\(127\) | − | 7.21656i | − | 0.640366i | −0.947356 | − | 0.320183i | \(-0.896256\pi\) | ||
0.947356 | − | 0.320183i | \(-0.103744\pi\) | |||||||
\(128\) | −11.0199 | − | 2.56164i | −0.974030 | − | 0.226419i | ||||
\(129\) | 13.3276 | − | 16.9761i | 1.17343 | − | 1.49466i | ||||
\(130\) | −1.00478 | − | 8.55076i | −0.0881249 | − | 0.749951i | ||||
\(131\) | 1.56297 | − | 5.83309i | 0.136558 | − | 0.509640i | −0.863429 | − | 0.504470i | \(-0.831688\pi\) |
0.999987 | − | 0.00516943i | \(-0.00164549\pi\) | |||||||
\(132\) | 6.68018 | − | 4.72442i | 0.581435 | − | 0.411208i | ||||
\(133\) | 0.140665 | + | 0.524969i | 0.0121972 | + | 0.0455206i | ||||
\(134\) | 3.73358 | + | 9.38115i | 0.322532 | + | 0.810408i | ||||
\(135\) | −6.20117 | + | 0.607551i | −0.533711 | + | 0.0522897i | ||||
\(136\) | −0.839260 | − | 2.29266i | −0.0719659 | − | 0.196594i | ||||
\(137\) | 2.72483 | − | 4.71954i | 0.232798 | − | 0.403217i | −0.725833 | − | 0.687871i | \(-0.758545\pi\) |
0.958630 | + | 0.284654i | \(0.0918787\pi\) | |||||||
\(138\) | 1.89641 | − | 0.457639i | 0.161433 | − | 0.0389568i | ||||
\(139\) | −3.85291 | + | 14.3793i | −0.326800 | + | 1.21963i | 0.585691 | + | 0.810534i | \(0.300823\pi\) |
−0.912490 | + | 0.409098i | \(0.865843\pi\) | |||||||
\(140\) | 1.50219 | − | 0.812366i | 0.126959 | − | 0.0686575i | ||||
\(141\) | 0.544825 | + | 4.52523i | 0.0458825 | + | 0.381093i | ||||
\(142\) | 3.44181 | − | 2.56563i | 0.288831 | − | 0.215303i | ||||
\(143\) | 11.9914 | 1.00277 | ||||||||
\(144\) | −9.11967 | + | 7.79946i | −0.759973 | + | 0.649955i | ||||
\(145\) | 10.3229 | 0.857271 | ||||||||
\(146\) | −13.2453 | + | 9.87346i | −1.09619 | + | 0.817133i | ||||
\(147\) | 10.3417 | + | 4.41853i | 0.852969 | + | 0.364434i | ||||
\(148\) | −9.35886 | − | 17.3060i | −0.769294 | − | 1.42255i | ||||
\(149\) | 2.98723 | − | 11.1485i | 0.244724 | − | 0.913321i | −0.728798 | − | 0.684728i | \(-0.759921\pi\) |
0.973522 | − | 0.228593i | \(-0.0734125\pi\) | |||||||
\(150\) | −6.01352 | − | 6.32207i | −0.491002 | − | 0.516195i | ||||
\(151\) | 4.79677 | − | 8.30825i | 0.390355 | − | 0.676116i | −0.602141 | − | 0.798390i | \(-0.705685\pi\) |
0.992496 | + | 0.122274i | \(0.0390188\pi\) | |||||||
\(152\) | −0.908701 | + | 1.95815i | −0.0737054 | + | 0.158827i | ||||
\(153\) | −2.48584 | − | 0.725479i | −0.200968 | − | 0.0586515i | ||||
\(154\) | 0.879553 | + | 2.21000i | 0.0708764 | + | 0.178087i | ||||
\(155\) | −1.49981 | − | 5.59736i | −0.120467 | − | 0.449591i | ||||
\(156\) | −17.5127 | + | 1.61508i | −1.40214 | + | 0.129310i | ||||
\(157\) | −2.82669 | + | 10.5494i | −0.225595 | + | 0.841931i | 0.756571 | + | 0.653912i | \(0.226873\pi\) |
−0.982165 | + | 0.188019i | \(0.939793\pi\) | |||||||
\(158\) | −0.160451 | − | 1.36545i | −0.0127648 | − | 0.108630i | ||||
\(159\) | −21.5103 | − | 3.07470i | −1.70588 | − | 0.243840i | ||||
\(160\) | 6.64735 | + | 1.35124i | 0.525519 | + | 0.106825i | ||||
\(161\) | 0.567132i | 0.0446963i | ||||||||
\(162\) | 0.923924 | + | 12.6943i | 0.0725903 | + | 0.997362i | ||||
\(163\) | 10.4644 | − | 10.4644i | 0.819633 | − | 0.819633i | −0.166422 | − | 0.986055i | \(-0.553221\pi\) |
0.986055 | + | 0.166422i | \(0.0532214\pi\) | |||||||
\(164\) | −12.3357 | + | 2.93966i | −0.963254 | + | 0.229549i | ||||
\(165\) | −3.92475 | + | 2.94306i | −0.305541 | + | 0.229117i | ||||
\(166\) | 12.8341 | + | 10.1351i | 0.996123 | + | 0.786636i | ||||
\(167\) | 11.5061 | − | 6.64303i | 0.890367 | − | 0.514053i | 0.0163043 | − | 0.999867i | \(-0.494810\pi\) |
0.874062 | + | 0.485814i | \(0.161477\pi\) | |||||||
\(168\) | −1.58219 | − | 3.10910i | −0.122069 | − | 0.239873i | ||||
\(169\) | −11.0637 | − | 6.38764i | −0.851056 | − | 0.491357i | ||||
\(170\) | 0.541283 | + | 1.36005i | 0.0415145 | + | 0.104311i | ||||
\(171\) | 1.10062 | + | 2.00780i | 0.0841667 | + | 0.153540i | ||||
\(172\) | −0.694155 | + | 24.9119i | −0.0529288 | + | 1.89952i | ||||
\(173\) | −1.95118 | − | 7.28191i | −0.148346 | − | 0.553633i | −0.999584 | − | 0.0288536i | \(-0.990814\pi\) |
0.851238 | − | 0.524780i | \(-0.175852\pi\) | |||||||
\(174\) | 0.527281 | − | 21.0803i | 0.0399731 | − | 1.59809i | ||||
\(175\) | 2.19671 | − | 1.26827i | 0.166056 | − | 0.0958723i | ||||
\(176\) | −2.94964 | + | 8.97550i | −0.222337 | + | 0.676554i | ||||
\(177\) | −21.1390 | + | 8.48292i | −1.58890 | + | 0.637615i | ||||
\(178\) | −3.68114 | − | 4.93828i | −0.275913 | − | 0.370140i | ||||
\(179\) | 15.1045 | + | 15.1045i | 1.12896 | + | 1.12896i | 0.990346 | + | 0.138617i | \(0.0442657\pi\) |
0.138617 | + | 0.990346i | \(0.455734\pi\) | |||||||
\(180\) | 5.33546 | − | 4.82676i | 0.397682 | − | 0.359766i | ||||
\(181\) | −3.08895 | + | 3.08895i | −0.229600 | + | 0.229600i | −0.812525 | − | 0.582926i | \(-0.801908\pi\) |
0.582926 | + | 0.812525i | \(0.301908\pi\) | |||||||
\(182\) | 0.737884 | − | 5.05922i | 0.0546956 | − | 0.375014i | ||||
\(183\) | 0.607151 | − | 0.773361i | 0.0448819 | − | 0.0571685i | ||||
\(184\) | −1.44478 | + | 1.72830i | −0.106511 | + | 0.127412i | ||||
\(185\) | 5.89808 | + | 10.2158i | 0.433635 | + | 0.751078i | ||||
\(186\) | −11.5069 | + | 2.77683i | −0.843726 | + | 0.203607i | ||||
\(187\) | −1.96931 | + | 0.527675i | −0.144010 | + | 0.0385874i | ||||
\(188\) | −3.61641 | − | 3.82373i | −0.263754 | − | 0.278874i | ||||
\(189\) | −3.65042 | − | 0.604609i | −0.265529 | − | 0.0439788i | ||||
\(190\) | 0.511912 | − | 1.18876i | 0.0371380 | − | 0.0862416i | ||||
\(191\) | 2.50481 | − | 4.33846i | 0.181242 | − | 0.313920i | −0.761062 | − | 0.648679i | \(-0.775322\pi\) |
0.942304 | + | 0.334759i | \(0.108655\pi\) | |||||||
\(192\) | 3.09889 | − | 13.5054i | 0.223643 | − | 0.974671i | ||||
\(193\) | −2.87512 | − | 4.97985i | −0.206956 | − | 0.358457i | 0.743799 | − | 0.668404i | \(-0.233022\pi\) |
−0.950754 | + | 0.309946i | \(0.899689\pi\) | |||||||
\(194\) | 8.13667 | − | 0.956120i | 0.584179 | − | 0.0686454i | ||||
\(195\) | 10.4690 | − | 1.26043i | 0.749697 | − | 0.0902615i | ||||
\(196\) | −12.6321 | + | 3.01030i | −0.902294 | + | 0.215022i | ||||
\(197\) | −0.515447 | − | 0.515447i | −0.0367240 | − | 0.0367240i | 0.688506 | − | 0.725230i | \(-0.258267\pi\) |
−0.725230 | + | 0.688506i | \(0.758267\pi\) | |||||||
\(198\) | 5.80950 | + | 8.16499i | 0.412863 | + | 0.580261i | ||||
\(199\) | −21.6583 | −1.53532 | −0.767659 | − | 0.640858i | \(-0.778579\pi\) | ||||
−0.767659 | + | 0.640858i | \(0.778579\pi\) | |||||||
\(200\) | 9.92526 | + | 1.73119i | 0.701822 | + | 0.122414i | ||||
\(201\) | −11.4764 | + | 4.60541i | −0.809486 | + | 0.324840i | ||||
\(202\) | −10.3552 | − | 8.17746i | −0.728588 | − | 0.575364i | ||||
\(203\) | 5.92130 | + | 1.58661i | 0.415594 | + | 0.111358i | ||||
\(204\) | 2.80498 | − | 1.03588i | 0.196388 | − | 0.0725258i | ||||
\(205\) | 7.34407 | − | 1.96784i | 0.512932 | − | 0.137440i | ||||
\(206\) | −2.26085 | + | 5.25014i | −0.157521 | + | 0.365794i | ||||
\(207\) | 0.567107 | + | 2.32101i | 0.0394166 | + | 0.161321i | ||||
\(208\) | 15.1371 | − | 13.5378i | 1.04957 | − | 0.938680i | ||||
\(209\) | 1.56118 | + | 0.901345i | 0.107989 | + | 0.0623473i | ||||
\(210\) | 1.00018 | + | 1.83696i | 0.0690189 | + | 0.126762i | ||||
\(211\) | 2.24771 | + | 0.602272i | 0.154739 | + | 0.0414621i | 0.335357 | − | 0.942091i | \(-0.391143\pi\) |
−0.180618 | + | 0.983553i | \(0.557810\pi\) | |||||||
\(212\) | 22.0700 | − | 11.9351i | 1.51577 | − | 0.819708i | ||||
\(213\) | 3.15424 | + | 4.20637i | 0.216125 | + | 0.288216i | ||||
\(214\) | 15.6683 | + | 2.28521i | 1.07106 | + | 0.156214i | ||||
\(215\) | − | 14.9421i | − | 1.01904i | ||||||
\(216\) | −9.58414 | − | 11.1420i | −0.652118 | − | 0.758118i | ||||
\(217\) | − | 3.44121i | − | 0.233604i | ||||||
\(218\) | −2.38267 | + | 16.3365i | −0.161375 | + | 1.10645i | ||||
\(219\) | −12.1386 | − | 16.1876i | −0.820253 | − | 1.09386i | ||||
\(220\) | 1.61792 | − | 5.42856i | 0.109080 | − | 0.365994i | ||||
\(221\) | 4.23299 | + | 1.13423i | 0.284742 | + | 0.0762963i | ||||
\(222\) | 21.1627 | − | 11.5226i | 1.42035 | − | 0.773344i | ||||
\(223\) | −16.3604 | − | 9.44569i | −1.09557 | − | 0.632530i | −0.160520 | − | 0.987033i | \(-0.551317\pi\) |
−0.935055 | + | 0.354502i | \(0.884650\pi\) | |||||||
\(224\) | 3.60529 | + | 1.79676i | 0.240889 | + | 0.120051i | ||||
\(225\) | 7.72190 | − | 7.38706i | 0.514793 | − | 0.492470i | ||||
\(226\) | 10.0557 | + | 4.33028i | 0.668898 | + | 0.288046i | ||||
\(227\) | 7.88169 | − | 2.11189i | 0.523126 | − | 0.140171i | 0.0124139 | − | 0.999923i | \(-0.496048\pi\) |
0.510712 | + | 0.859752i | \(0.329382\pi\) | |||||||
\(228\) | −2.40140 | − | 1.10609i | −0.159037 | − | 0.0732525i | ||||
\(229\) | −7.31287 | − | 1.95948i | −0.483248 | − | 0.129486i | 0.00896646 | − | 0.999960i | \(-0.497146\pi\) |
−0.492215 | + | 0.870474i | \(0.663813\pi\) | |||||||
\(230\) | 0.837040 | − | 1.05995i | 0.0551928 | − | 0.0698911i | ||||
\(231\) | −2.70361 | + | 1.08494i | −0.177884 | + | 0.0713836i | ||||
\(232\) | 14.0028 | + | 19.9197i | 0.919332 | + | 1.30779i | ||||
\(233\) | 6.77947 | 0.444138 | 0.222069 | − | 0.975031i | \(-0.428719\pi\) | ||||
0.222069 | + | 0.975031i | \(0.428719\pi\) | |||||||
\(234\) | −2.03917 | − | 21.4429i | −0.133305 | − | 1.40176i | ||||
\(235\) | 2.23129 | + | 2.23129i | 0.145553 | + | 0.145553i | ||||
\(236\) | 13.7800 | − | 22.4024i | 0.896999 | − | 1.45827i | ||||
\(237\) | 1.67177 | − | 0.201276i | 0.108593 | − | 0.0130743i | ||||
\(238\) | 0.101448 | + | 0.863328i | 0.00657587 | + | 0.0559613i | ||||
\(239\) | 9.48431 | + | 16.4273i | 0.613489 | + | 1.06259i | 0.990648 | + | 0.136445i | \(0.0435677\pi\) |
−0.377159 | + | 0.926149i | \(0.623099\pi\) | |||||||
\(240\) | −1.63172 | + | 8.14599i | −0.105327 | + | 0.525822i | ||||
\(241\) | 0.0512556 | − | 0.0887774i | 0.00330167 | − | 0.00571865i | −0.864370 | − | 0.502857i | \(-0.832282\pi\) |
0.867672 | + | 0.497138i | \(0.165616\pi\) | |||||||
\(242\) | −7.04166 | − | 3.03233i | −0.452655 | − | 0.194926i | ||||
\(243\) | −15.5440 | + | 1.17587i | −0.997151 | + | 0.0754319i | ||||
\(244\) | −0.0316228 | + | 1.13488i | −0.00202444 | + | 0.0726535i | ||||
\(245\) | 7.52056 | − | 2.01513i | 0.480471 | − | 0.128742i | ||||
\(246\) | −3.64336 | − | 15.0977i | −0.232292 | − | 0.962596i | ||||
\(247\) | −1.93742 | − | 3.35571i | −0.123275 | − | 0.213519i | ||||
\(248\) | 8.76653 | − | 10.4868i | 0.556675 | − | 0.665915i | ||||
\(249\) | −12.3681 | + | 15.7539i | −0.783794 | + | 0.998360i | ||||
\(250\) | −14.3678 | − | 2.09553i | −0.908699 | − | 0.132533i | ||||
\(251\) | −6.59142 | + | 6.59142i | −0.416047 | + | 0.416047i | −0.883839 | − | 0.467792i | \(-0.845050\pi\) |
0.467792 | + | 0.883839i | \(0.345050\pi\) | |||||||
\(252\) | 3.80232 | − | 1.94862i | 0.239524 | − | 0.122752i | ||||
\(253\) | 1.33015 | + | 1.33015i | 0.0836258 | + | 0.0836258i | ||||
\(254\) | −8.18252 | + | 6.09950i | −0.513417 | + | 0.382716i | ||||
\(255\) | −1.66382 | + | 0.667677i | −0.104192 | + | 0.0418115i | ||||
\(256\) | 6.40958 | + | 14.6601i | 0.400599 | + | 0.916254i | ||||
\(257\) | −14.3072 | + | 8.26024i | −0.892456 | + | 0.515260i | −0.874745 | − | 0.484583i | \(-0.838971\pi\) |
−0.0177109 | + | 0.999843i | \(0.505638\pi\) | |||||||
\(258\) | −30.5130 | − | 0.763223i | −1.89966 | − | 0.0475162i | ||||
\(259\) | 1.81304 | + | 6.76637i | 0.112657 | + | 0.420442i | ||||
\(260\) | −8.84606 | + | 8.36645i | −0.548609 | + | 0.518865i | ||||
\(261\) | 25.8197 | + | 0.572217i | 1.59820 | + | 0.0354194i | ||||
\(262\) | −7.93491 | + | 3.15800i | −0.490220 | + | 0.195102i | ||||
\(263\) | −22.2913 | − | 12.8699i | −1.37454 | − | 0.793593i | −0.383047 | − | 0.923729i | \(-0.625125\pi\) |
−0.991496 | + | 0.130136i | \(0.958458\pi\) | |||||||
\(264\) | −11.0029 | − | 3.58122i | −0.677184 | − | 0.220409i | ||||
\(265\) | −13.0279 | + | 7.52167i | −0.800298 | + | 0.462052i | ||||
\(266\) | 0.476346 | − | 0.603201i | 0.0292067 | − | 0.0369847i | ||||
\(267\) | 6.03526 | − | 4.52567i | 0.369352 | − | 0.276967i | ||||
\(268\) | 7.48119 | − | 12.1624i | 0.456987 | − | 0.742934i | ||||
\(269\) | −4.62506 | + | 4.62506i | −0.281995 | + | 0.281995i | −0.833904 | − | 0.551909i | \(-0.813899\pi\) |
0.551909 | + | 0.833904i | \(0.313899\pi\) | |||||||
\(270\) | 5.93015 | + | 6.51770i | 0.360897 | + | 0.396655i | ||||
\(271\) | 6.13012i | 0.372378i | 0.982514 | + | 0.186189i | \(0.0596137\pi\) | ||||
−0.982514 | + | 0.186189i | \(0.940386\pi\) | |||||||
\(272\) | −1.89019 | + | 2.88937i | −0.114610 | + | 0.175194i | ||||
\(273\) | 6.19880 | + | 0.886060i | 0.375168 | + | 0.0536268i | ||||
\(274\) | −7.65431 | + | 0.899439i | −0.462414 | + | 0.0543371i | ||||
\(275\) | 2.17756 | − | 8.12675i | 0.131312 | − | 0.490062i | ||||
\(276\) | −2.12175 | − | 1.76345i | −0.127715 | − | 0.106147i | ||||
\(277\) | −0.185077 | − | 0.690716i | −0.0111202 | − | 0.0415011i | 0.960143 | − | 0.279510i | \(-0.0901720\pi\) |
−0.971263 | + | 0.238009i | \(0.923505\pi\) | |||||||
\(278\) | 19.5605 | − | 7.78483i | 1.17316 | − | 0.466903i | ||||
\(279\) | −3.44105 | − | 14.0833i | −0.206010 | − | 0.843143i | ||||
\(280\) | −2.19077 | − | 1.01665i | −0.130924 | − | 0.0607565i | ||||
\(281\) | −5.17559 | + | 8.96438i | −0.308750 | + | 0.534770i | −0.978089 | − | 0.208187i | \(-0.933244\pi\) |
0.669339 | + | 0.742957i | \(0.266577\pi\) | |||||||
\(282\) | 4.67045 | − | 4.44251i | 0.278121 | − | 0.264548i | ||||
\(283\) | −6.79689 | + | 25.3663i | −0.404033 | + | 1.50787i | 0.401799 | + | 0.915728i | \(0.368385\pi\) |
−0.805832 | + | 0.592144i | \(0.798282\pi\) | |||||||
\(284\) | −5.81810 | − | 1.73402i | −0.345241 | − | 0.102895i | ||||
\(285\) | 1.45771 | + | 0.622811i | 0.0863471 | + | 0.0368921i | ||||
\(286\) | −10.1352 | − | 13.5965i | −0.599309 | − | 0.803978i | ||||
\(287\) | 4.51507 | 0.266516 | ||||||||
\(288\) | 16.5515 | + | 3.74820i | 0.975304 | + | 0.220865i | ||||
\(289\) | 16.2549 | 0.956172 | ||||||||
\(290\) | −8.72501 | − | 11.7047i | −0.512350 | − | 0.687322i | ||||
\(291\) | 1.19939 | + | 9.96197i | 0.0703097 | + | 0.583981i | ||||
\(292\) | 22.3901 | + | 6.67312i | 1.31028 | + | 0.390515i | ||||
\(293\) | −5.21478 | + | 19.4618i | −0.304651 | + | 1.13697i | 0.628595 | + | 0.777733i | \(0.283630\pi\) |
−0.933246 | + | 0.359239i | \(0.883036\pi\) | |||||||
\(294\) | −3.73092 | − | 15.4605i | −0.217592 | − | 0.901677i | ||||
\(295\) | −7.88465 | + | 13.6566i | −0.459062 | + | 0.795119i | ||||
\(296\) | −11.7123 | + | 25.2388i | −0.680765 | + | 1.46697i | ||||
\(297\) | −9.97972 | + | 7.14362i | −0.579082 | + | 0.414515i | ||||
\(298\) | −15.1656 | + | 6.03573i | −0.878520 | + | 0.349640i | ||||
\(299\) | −1.04651 | − | 3.90564i | −0.0605215 | − | 0.225869i | ||||
\(300\) | −2.08562 | + | 12.1619i | −0.120413 | + | 0.702168i | ||||
\(301\) | 2.29657 | − | 8.57090i | 0.132372 | − | 0.494018i | ||||
\(302\) | −13.4746 | + | 1.58337i | −0.775376 | + | 0.0911125i | ||||
\(303\) | 9.97913 | − | 12.7109i | 0.573286 | − | 0.730225i | ||||
\(304\) | 2.98830 | − | 0.624713i | 0.171391 | − | 0.0358297i | ||||
\(305\) | − | 0.680700i | − | 0.0389768i | ||||||
\(306\) | 1.27847 | + | 3.43176i | 0.0730851 | + | 0.196181i | ||||
\(307\) | −5.92691 | + | 5.92691i | −0.338267 | + | 0.338267i | −0.855715 | − | 0.517448i | \(-0.826882\pi\) |
0.517448 | + | 0.855715i | \(0.326882\pi\) | |||||||
\(308\) | 1.76241 | − | 2.86519i | 0.100423 | − | 0.163260i | ||||
\(309\) | −6.43794 | − | 2.75064i | −0.366242 | − | 0.156478i | ||||
\(310\) | −5.07893 | + | 6.43150i | −0.288464 | + | 0.365284i | ||||
\(311\) | 22.5904 | − | 13.0426i | 1.28098 | − | 0.739576i | 0.303956 | − | 0.952686i | \(-0.401692\pi\) |
0.977028 | + | 0.213110i | \(0.0683592\pi\) | |||||||
\(312\) | 16.6332 | + | 18.4918i | 0.941667 | + | 1.04689i | ||||
\(313\) | 0.538716 | + | 0.311028i | 0.0304500 | + | 0.0175803i | 0.515148 | − | 0.857101i | \(-0.327737\pi\) |
−0.484698 | + | 0.874682i | \(0.661070\pi\) | |||||||
\(314\) | 14.3506 | − | 5.71135i | 0.809850 | − | 0.322310i | ||||
\(315\) | −2.24631 | + | 1.23137i | −0.126565 | + | 0.0693798i | ||||
\(316\) | −1.41261 | + | 1.33602i | −0.0794655 | + | 0.0751570i | ||||
\(317\) | −3.67189 | − | 13.7037i | −0.206234 | − | 0.769675i | −0.989070 | − | 0.147447i | \(-0.952894\pi\) |
0.782836 | − | 0.622228i | \(-0.213772\pi\) | |||||||
\(318\) | 14.6944 | + | 26.9883i | 0.824023 | + | 1.51343i | ||||
\(319\) | 17.6090 | − | 10.1666i | 0.985916 | − | 0.569219i | ||||
\(320\) | −4.08629 | − | 8.67920i | −0.228430 | − | 0.485182i | ||||
\(321\) | −2.74411 | + | 19.1976i | −0.153161 | + | 1.07150i | ||||
\(322\) | 0.643045 | − | 0.479345i | 0.0358355 | − | 0.0267128i | ||||
\(323\) | 0.465843 | + | 0.465843i | 0.0259202 | + | 0.0259202i | ||||
\(324\) | 13.6126 | − | 11.7770i | 0.756256 | − | 0.654275i | ||||
\(325\) | −12.7877 | + | 12.7877i | −0.709333 | + | 0.709333i | ||||
\(326\) | −20.7096 | − | 3.02049i | −1.14700 | − | 0.167289i | ||||
\(327\) | −20.0163 | − | 2.86114i | −1.10690 | − | 0.158221i | ||||
\(328\) | 13.7593 | + | 11.5022i | 0.759733 | + | 0.635103i | ||||
\(329\) | 0.936941 | + | 1.62283i | 0.0516552 | + | 0.0894694i | ||||
\(330\) | 6.65422 | + | 1.96259i | 0.366303 | + | 0.108037i | ||||
\(331\) | 10.3567 | − | 2.77508i | 0.569257 | − | 0.152532i | 0.0373014 | − | 0.999304i | \(-0.488124\pi\) |
0.531956 | + | 0.846772i | \(0.321457\pi\) | |||||||
\(332\) | 0.644177 | − | 23.1183i | 0.0353538 | − | 1.26878i | ||||
\(333\) | 14.1860 | + | 25.8786i | 0.777388 | + | 1.41814i | ||||
\(334\) | −17.2573 | − | 7.43145i | −0.944275 | − | 0.406631i | ||||
\(335\) | −4.28061 | + | 7.41423i | −0.233874 | + | 0.405082i | ||||
\(336\) | −2.18799 | + | 4.42181i | −0.119365 | + | 0.241230i | ||||
\(337\) | −5.91237 | − | 10.2405i | −0.322067 | − | 0.557837i | 0.658847 | − | 0.752277i | \(-0.271044\pi\) |
−0.980914 | + | 0.194440i | \(0.937711\pi\) | |||||||
\(338\) | 2.10850 | + | 17.9435i | 0.114687 | + | 0.975999i | ||||
\(339\) | −5.26838 | + | 12.3308i | −0.286139 | + | 0.669716i | ||||
\(340\) | 1.08460 | − | 1.76326i | 0.0588206 | − | 0.0956261i | ||||
\(341\) | −8.07099 | − | 8.07099i | −0.437069 | − | 0.437069i | ||||
\(342\) | 1.34629 | − | 2.94495i | 0.0727991 | − | 0.159245i | ||||
\(343\) | 9.60823 | 0.518795 | ||||||||
\(344\) | 28.8332 | − | 20.2687i | 1.55458 | − | 1.09281i | ||||
\(345\) | 1.30108 | + | 1.02146i | 0.0700481 | + | 0.0549934i | ||||
\(346\) | −6.60746 | + | 8.36708i | −0.355219 | + | 0.449817i | ||||
\(347\) | −0.332138 | − | 0.0889961i | −0.0178301 | − | 0.00477756i | 0.249893 | − | 0.968273i | \(-0.419605\pi\) |
−0.267723 | + | 0.963496i | \(0.586271\pi\) | |||||||
\(348\) | −24.3476 | + | 17.2194i | −1.30517 | + | 0.923054i | ||||
\(349\) | 23.9142 | − | 6.40780i | 1.28010 | − | 0.343001i | 0.446207 | − | 0.894930i | \(-0.352774\pi\) |
0.833892 | + | 0.551928i | \(0.186108\pi\) | |||||||
\(350\) | −3.29471 | − | 1.41879i | −0.176110 | − | 0.0758377i | ||||
\(351\) | 26.2548 | − | 2.57228i | 1.40138 | − | 0.137298i | ||||
\(352\) | 12.6700 | − | 4.24171i | 0.675311 | − | 0.226084i | ||||
\(353\) | −5.76381 | − | 3.32774i | −0.306776 | − | 0.177117i | 0.338707 | − | 0.940892i | \(-0.390011\pi\) |
−0.645483 | + | 0.763775i | \(0.723344\pi\) | |||||||
\(354\) | 27.4852 | + | 16.7987i | 1.46082 | + | 0.892841i | ||||
\(355\) | 3.51593 | + | 0.942090i | 0.186606 | + | 0.0500010i | ||||
\(356\) | −2.48795 | + | 8.34775i | −0.131861 | + | 0.442430i | ||||
\(357\) | −1.05700 | + | 0.127260i | −0.0559423 | + | 0.00673530i | ||||
\(358\) | 4.35984 | − | 29.8927i | 0.230425 | − | 1.57988i | ||||
\(359\) | 25.7733i | 1.36026i | 0.733091 | + | 0.680130i | \(0.238077\pi\) | ||||
−0.733091 | + | 0.680130i | \(0.761923\pi\) | |||||||
\(360\) | −9.98242 | − | 1.97001i | −0.526120 | − | 0.103828i | ||||
\(361\) | 18.4175i | 0.969341i | ||||||||
\(362\) | 6.11321 | + | 0.891609i | 0.321303 | + | 0.0468619i | ||||
\(363\) | 3.68924 | − | 8.63478i | 0.193635 | − | 0.453208i | ||||
\(364\) | −6.36007 | + | 3.43944i | −0.333358 | + | 0.180276i | ||||
\(365\) | −13.5305 | − | 3.62550i | −0.708221 | − | 0.189767i | ||||
\(366\) | −1.39005 | − | 0.0347693i | −0.0726589 | − | 0.00181742i | ||||
\(367\) | −10.6689 | − | 6.15969i | −0.556912 | − | 0.321533i | 0.194993 | − | 0.980805i | \(-0.437532\pi\) |
−0.751905 | + | 0.659271i | \(0.770865\pi\) | |||||||
\(368\) | 3.18077 | + | 0.177398i | 0.165809 | + | 0.00924753i | ||||
\(369\) | 18.4781 | − | 4.51486i | 0.961930 | − | 0.235034i | ||||
\(370\) | 6.59808 | − | 15.3220i | 0.343018 | − | 0.796553i | ||||
\(371\) | −8.62898 | + | 2.31213i | −0.447994 | + | 0.120040i | ||||
\(372\) | 12.8742 | + | 10.7001i | 0.667498 | + | 0.554776i | ||||
\(373\) | 26.8045 | + | 7.18223i | 1.38788 | + | 0.371882i | 0.873978 | − | 0.485966i | \(-0.161532\pi\) |
0.513904 | + | 0.857848i | \(0.328199\pi\) | |||||||
\(374\) | 2.26278 | + | 1.78691i | 0.117006 | + | 0.0923990i | ||||
\(375\) | 2.51634 | − | 17.6041i | 0.129943 | − | 0.909073i | ||||
\(376\) | −1.27892 | + | 7.33233i | −0.0659555 | + | 0.378136i | ||||
\(377\) | −43.7057 | −2.25096 | ||||||||
\(378\) | 2.39982 | + | 4.65006i | 0.123434 | + | 0.239173i | ||||
\(379\) | −20.2758 | − | 20.2758i | −1.04150 | − | 1.04150i | −0.999101 | − | 0.0423953i | \(-0.986501\pi\) |
−0.0423953 | − | 0.999101i | \(-0.513499\pi\) | |||||||
\(380\) | −1.78055 | + | 0.424315i | −0.0913403 | + | 0.0217669i | ||||
\(381\) | −7.49885 | − | 10.0002i | −0.384178 | − | 0.512324i | ||||
\(382\) | −7.03626 | + | 0.826813i | −0.360006 | + | 0.0423035i | ||||
\(383\) | −12.9618 | − | 22.4505i | −0.662317 | − | 1.14717i | −0.980005 | − | 0.198971i | \(-0.936240\pi\) |
0.317689 | − | 0.948195i | \(-0.397093\pi\) | |||||||
\(384\) | −17.9324 | + | 7.90123i | −0.915108 | + | 0.403208i | ||||
\(385\) | −1.00842 | + | 1.74663i | −0.0513938 | + | 0.0890167i | ||||
\(386\) | −3.21635 | + | 7.46897i | −0.163708 | + | 0.380161i | ||||
\(387\) | 0.828267 | − | 37.3732i | 0.0421032 | − | 1.89979i | ||||
\(388\) | −7.96128 | − | 8.41767i | −0.404173 | − | 0.427342i | ||||
\(389\) | 6.90667 | − | 1.85064i | 0.350182 | − | 0.0938310i | −0.0794404 | − | 0.996840i | \(-0.525313\pi\) |
0.429622 | + | 0.903009i | \(0.358647\pi\) | |||||||
\(390\) | −10.2776 | − | 10.8049i | −0.520426 | − | 0.547129i | ||||
\(391\) | 0.343731 | + | 0.595360i | 0.0173832 | + | 0.0301086i | ||||
\(392\) | 14.0900 | + | 11.7786i | 0.711653 | + | 0.594911i | ||||
\(393\) | −3.89541 | − | 9.70718i | −0.196498 | − | 0.489662i | ||||
\(394\) | −0.148781 | + | 1.02010i | −0.00749548 | + | 0.0513919i | ||||
\(395\) | 0.824310 | − | 0.824310i | 0.0414756 | − | 0.0414756i | ||||
\(396\) | 4.34766 | − | 13.4882i | 0.218478 | − | 0.677810i | ||||
\(397\) | −14.8178 | − | 14.8178i | −0.743683 | − | 0.743683i | 0.229602 | − | 0.973285i | \(-0.426258\pi\) |
−0.973285 | + | 0.229602i | \(0.926258\pi\) | |||||||
\(398\) | 18.3058 | + | 24.5574i | 0.917587 | + | 1.23095i | ||||
\(399\) | 0.740427 | + | 0.581296i | 0.0370677 | + | 0.0291012i | ||||
\(400\) | −6.42600 | − | 12.7170i | −0.321300 | − | 0.635850i | ||||
\(401\) | −4.39082 | + | 2.53504i | −0.219267 | + | 0.126594i | −0.605611 | − | 0.795761i | \(-0.707071\pi\) |
0.386344 | + | 0.922355i | \(0.373738\pi\) | |||||||
\(402\) | 14.9218 | + | 9.12007i | 0.744234 | + | 0.454868i | ||||
\(403\) | 6.34997 | + | 23.6984i | 0.316314 | + | 1.18050i | ||||
\(404\) | −0.519752 | + | 18.6529i | −0.0258586 | + | 0.928017i | ||||
\(405\) | −7.96180 | + | 7.28564i | −0.395625 | + | 0.362026i | ||||
\(406\) | −3.20575 | − | 8.05490i | −0.159099 | − | 0.399758i | ||||
\(407\) | 20.1221 | + | 11.6175i | 0.997416 | + | 0.575858i | ||||
\(408\) | −3.54533 | − | 2.30491i | −0.175520 | − | 0.114110i | ||||
\(409\) | 20.8923 | − | 12.0622i | 1.03306 | − | 0.596436i | 0.115199 | − | 0.993342i | \(-0.463250\pi\) |
0.917859 | + | 0.396906i | \(0.129916\pi\) | |||||||
\(410\) | −8.43850 | − | 6.66386i | −0.416748 | − | 0.329105i | ||||
\(411\) | −1.12829 | − | 9.37140i | −0.0556545 | − | 0.462257i | ||||
\(412\) | 7.86378 | − | 1.87398i | 0.387421 | − | 0.0923245i | ||||
\(413\) | −6.62169 | + | 6.62169i | −0.325832 | + | 0.325832i | ||||
\(414\) | 2.15236 | − | 2.60475i | 0.105783 | − | 0.128017i | ||||
\(415\) | 13.8663i | 0.680670i | ||||||||
\(416\) | −28.1439 | − | 5.72095i | −1.37987 | − | 0.280493i | ||||
\(417\) | 9.60265 | + | 23.9293i | 0.470244 | + | 1.17182i | ||||
\(418\) | −0.297525 | − | 2.53197i | −0.0145524 | − | 0.123843i | ||||
\(419\) | 5.15499 | − | 19.2387i | 0.251838 | − | 0.939871i | −0.717985 | − | 0.696059i | \(-0.754935\pi\) |
0.969822 | − | 0.243812i | \(-0.0783981\pi\) | |||||||
\(420\) | 1.23749 | − | 2.68667i | 0.0603832 | − | 0.131096i | ||||
\(421\) | −8.46180 | − | 31.5799i | −0.412403 | − | 1.53911i | −0.789981 | − | 0.613131i | \(-0.789910\pi\) |
0.377578 | − | 0.925978i | \(-0.376757\pi\) | |||||||
\(422\) | −1.21689 | − | 3.05762i | −0.0592375 | − | 0.148843i | ||||
\(423\) | 5.45722 | + | 5.70459i | 0.265339 | + | 0.277367i | ||||
\(424\) | −32.1864 | − | 14.9364i | −1.56311 | − | 0.725377i | ||||
\(425\) | 1.53736 | − | 2.66279i | 0.0745731 | − | 0.129164i | ||||
\(426\) | 2.10342 | − | 7.13171i | 0.101911 | − | 0.345532i | ||||
\(427\) | 0.104622 | − | 0.390455i | 0.00506302 | − | 0.0188954i | ||||
\(428\) | −10.6519 | − | 19.6970i | −0.514878 | − | 0.952092i | ||||
\(429\) | 16.6168 | − | 12.4605i | 0.802267 | − | 0.601597i | ||||
\(430\) | −16.9421 | + | 12.6292i | −0.817023 | + | 0.609033i | ||||
\(431\) | −11.5413 | −0.555923 | −0.277962 | − | 0.960592i | \(-0.589659\pi\) | ||||
−0.277962 | + | 0.960592i | \(0.589659\pi\) | |||||||
\(432\) | −4.53281 | + | 20.2843i | −0.218085 | + | 0.975930i | ||||
\(433\) | 24.2215 | 1.16401 | 0.582006 | − | 0.813184i | \(-0.302268\pi\) | ||||
0.582006 | + | 0.813184i | \(0.302268\pi\) | |||||||
\(434\) | −3.90182 | + | 2.90854i | −0.187293 | + | 0.139614i | ||||
\(435\) | 14.3047 | − | 10.7267i | 0.685859 | − | 0.514307i | ||||
\(436\) | 20.5370 | − | 11.1061i | 0.983546 | − | 0.531888i | ||||
\(437\) | 0.157324 | − | 0.587143i | 0.00752585 | − | 0.0280868i | ||||
\(438\) | −8.09470 | + | 27.4453i | −0.386780 | + | 1.31139i | ||||
\(439\) | −4.47756 | + | 7.75537i | −0.213702 | + | 0.370143i | −0.952870 | − | 0.303378i | \(-0.901886\pi\) |
0.739168 | + | 0.673521i | \(0.235219\pi\) | |||||||
\(440\) | −7.52267 | + | 2.75378i | −0.358629 | + | 0.131281i | ||||
\(441\) | 18.9221 | − | 4.62336i | 0.901054 | − | 0.220160i | ||||
\(442\) | −2.29171 | − | 5.75825i | −0.109006 | − | 0.273892i | ||||
\(443\) | 5.29309 | + | 19.7541i | 0.251482 | + | 0.938545i | 0.970014 | + | 0.243051i | \(0.0781481\pi\) |
−0.718531 | + | 0.695495i | \(0.755185\pi\) | |||||||
\(444\) | −30.9518 | − | 14.2565i | −1.46891 | − | 0.676582i | ||||
\(445\) | 1.35170 | − | 5.04462i | 0.0640768 | − | 0.239138i | ||||
\(446\) | 3.11793 | + | 26.5339i | 0.147638 | + | 1.25642i | ||||
\(447\) | −7.44512 | − | 18.5529i | −0.352142 | − | 0.877520i | ||||
\(448\) | −1.00995 | − | 5.60651i | −0.0477158 | − | 0.264883i | ||||
\(449\) | 2.34595i | 0.110712i | 0.998467 | + | 0.0553561i | \(0.0176294\pi\) | ||||
−0.998467 | + | 0.0553561i | \(0.982371\pi\) | |||||||
\(450\) | −14.9025 | − | 2.51190i | −0.702508 | − | 0.118412i | ||||
\(451\) | 10.5896 | − | 10.5896i | 0.498646 | − | 0.498646i | ||||
\(452\) | −3.58929 | − | 15.0617i | −0.168826 | − | 0.708444i | ||||
\(453\) | −1.98624 | − | 16.4974i | −0.0933215 | − | 0.775113i | ||||
\(454\) | −9.05624 | − | 7.15169i | −0.425031 | − | 0.335645i | ||||
\(455\) | 3.75436 | − | 2.16758i | 0.176007 | − | 0.101618i | ||||
\(456\) | 0.775539 | + | 3.65771i | 0.0363180 | + | 0.171288i | ||||
\(457\) | 24.1000 | + | 13.9141i | 1.12735 | + | 0.650876i | 0.943267 | − | 0.332034i | \(-0.107735\pi\) |
0.184084 | + | 0.982911i | \(0.441068\pi\) | |||||||
\(458\) | 3.95914 | + | 9.94789i | 0.184998 | + | 0.464834i | ||||
\(459\) | −4.19855 | + | 1.57777i | −0.195972 | + | 0.0736438i | ||||
\(460\) | −1.90930 | − | 0.0532015i | −0.0890216 | − | 0.00248053i | ||||
\(461\) | 5.15168 | + | 19.2263i | 0.239937 | + | 0.895459i | 0.975861 | + | 0.218394i | \(0.0700817\pi\) |
−0.735923 | + | 0.677065i | \(0.763252\pi\) | |||||||
\(462\) | 3.51527 | + | 2.14850i | 0.163545 | + | 0.0999571i | ||||
\(463\) | 21.3818 | − | 12.3448i | 0.993699 | − | 0.573712i | 0.0873209 | − | 0.996180i | \(-0.472169\pi\) |
0.906378 | + | 0.422468i | \(0.138836\pi\) | |||||||
\(464\) | 10.7507 | − | 32.7135i | 0.499089 | − | 1.51868i | ||||
\(465\) | −7.89463 | − | 6.19793i | −0.366105 | − | 0.287422i | ||||
\(466\) | −5.73007 | − | 7.68693i | −0.265440 | − | 0.356090i | ||||
\(467\) | −14.0708 | − | 14.0708i | −0.651120 | − | 0.651120i | 0.302143 | − | 0.953263i | \(-0.402298\pi\) |
−0.953263 | + | 0.302143i | \(0.902298\pi\) | |||||||
\(468\) | −22.5896 | + | 20.4358i | −1.04420 | + | 0.944646i | ||||
\(469\) | −3.59494 | + | 3.59494i | −0.165999 | + | 0.165999i | ||||
\(470\) | 0.644050 | − | 4.41586i | 0.0297078 | − | 0.203688i | ||||
\(471\) | 7.04500 | + | 17.5558i | 0.324616 | + | 0.808928i | ||||
\(472\) | −37.0480 | + | 3.31026i | −1.70527 | + | 0.152367i | ||||
\(473\) | −14.7158 | − | 25.4885i | −0.676633 | − | 1.17196i | ||||
\(474\) | −1.64121 | − | 1.72542i | −0.0753832 | − | 0.0792510i | ||||
\(475\) | −2.62604 | + | 0.703645i | −0.120491 | + | 0.0322855i | ||||
\(476\) | 0.893143 | − | 0.844719i | 0.0409371 | − | 0.0387176i | ||||
\(477\) | −33.0024 | + | 18.0911i | −1.51108 | + | 0.828332i | ||||
\(478\) | 10.6099 | − | 24.6383i | 0.485287 | − | 1.12693i | ||||
\(479\) | −12.8097 | + | 22.1870i | −0.585288 | + | 1.01375i | 0.409551 | + | 0.912287i | \(0.365685\pi\) |
−0.994839 | + | 0.101462i | \(0.967648\pi\) | |||||||
\(480\) | 10.6155 | − | 5.03493i | 0.484529 | − | 0.229812i | ||||
\(481\) | −24.9716 | − | 43.2521i | −1.13861 | − | 1.97212i | ||||
\(482\) | −0.143982 | + | 0.0169190i | −0.00655821 | + | 0.000770639i | ||||
\(483\) | 0.589317 | + | 0.785890i | 0.0268148 | + | 0.0357592i | ||||
\(484\) | 2.51345 | + | 10.5472i | 0.114248 | + | 0.479416i | ||||
\(485\) | 4.91202 | + | 4.91202i | 0.223043 | + | 0.223043i | ||||
\(486\) | 14.4712 | + | 16.6308i | 0.656428 | + | 0.754389i | ||||
\(487\) | 24.8039 | 1.12397 | 0.561986 | − | 0.827147i | \(-0.310038\pi\) | ||||
0.561986 | + | 0.827147i | \(0.310038\pi\) | |||||||
\(488\) | 1.31352 | − | 0.923357i | 0.0594602 | − | 0.0417984i | ||||
\(489\) | 3.62704 | − | 25.3745i | 0.164020 | − | 1.14747i | ||||
\(490\) | −8.64129 | − | 6.82400i | −0.390374 | − | 0.308277i | ||||
\(491\) | 36.3890 | + | 9.75039i | 1.64221 | + | 0.440029i | 0.957417 | − | 0.288708i | \(-0.0932257\pi\) |
0.684793 | + | 0.728737i | \(0.259892\pi\) | |||||||
\(492\) | −14.0392 | + | 16.8918i | −0.632936 | + | 0.761539i | ||||
\(493\) | 7.17764 | − | 1.92324i | 0.323265 | − | 0.0866185i | ||||
\(494\) | −2.16736 | + | 5.03303i | −0.0975142 | + | 0.226447i | ||||
\(495\) | −2.38044 | + | 8.15654i | −0.106993 | + | 0.366609i | ||||
\(496\) | −19.3001 | − | 1.07641i | −0.866599 | − | 0.0483320i | ||||
\(497\) | 1.87197 | + | 1.08078i | 0.0839692 | + | 0.0484796i | ||||
\(498\) | 28.3162 | + | 0.708273i | 1.26888 | + | 0.0317385i | ||||
\(499\) | −20.1205 | − | 5.39127i | −0.900717 | − | 0.241346i | −0.221393 | − | 0.975185i | \(-0.571060\pi\) |
−0.679324 | + | 0.733838i | \(0.737727\pi\) | |||||||
\(500\) | 9.76775 | + | 18.0621i | 0.436827 | + | 0.807763i | ||||
\(501\) | 9.04137 | − | 21.1616i | 0.403939 | − | 0.945430i | ||||
\(502\) | 13.0448 | + | 1.90258i | 0.582219 | + | 0.0849164i | ||||
\(503\) | 4.55397i | 0.203051i | 0.994833 | + | 0.101526i | \(0.0323724\pi\) | ||||
−0.994833 | + | 0.101526i | \(0.967628\pi\) | |||||||
\(504\) | −5.42321 | − | 2.66429i | −0.241569 | − | 0.118677i | ||||
\(505\) | − | 11.1880i | − | 0.497858i | ||||||
\(506\) | 0.383941 | − | 2.63245i | 0.0170683 | − | 0.117027i | ||||
\(507\) | −21.9688 | + | 2.64498i | −0.975668 | + | 0.117468i | ||||
\(508\) | 13.8319 | + | 4.12243i | 0.613690 | + | 0.182903i | ||||
\(509\) | −7.44927 | − | 1.99603i | −0.330183 | − | 0.0884723i | 0.0899191 | − | 0.995949i | \(-0.471339\pi\) |
−0.420102 | + | 0.907477i | \(0.638006\pi\) | |||||||
\(510\) | 2.16332 | + | 1.32220i | 0.0957934 | + | 0.0585479i | ||||
\(511\) | −7.20399 | − | 4.15923i | −0.318686 | − | 0.183993i | ||||
\(512\) | 11.2049 | − | 19.6583i | 0.495192 | − | 0.868783i | ||||
\(513\) | 3.61149 | + | 1.63858i | 0.159451 | + | 0.0723451i | ||||
\(514\) | 21.4584 | + | 9.24059i | 0.946491 | + | 0.407585i | ||||
\(515\) | −4.68172 | + | 1.25446i | −0.206301 | + | 0.0552782i | ||||
\(516\) | 24.9245 | + | 35.2424i | 1.09724 | + | 1.55146i | ||||
\(517\) | 6.00367 | + | 1.60868i | 0.264041 | + | 0.0707496i | ||||
\(518\) | 6.13967 | − | 7.77471i | 0.269761 | − | 0.341601i | ||||
\(519\) | −10.2706 | − | 8.06322i | −0.450828 | − | 0.353936i | ||||
\(520\) | 16.9631 | + | 2.95875i | 0.743880 | + | 0.129750i | ||||
\(521\) | 41.5553 | 1.82057 | 0.910286 | − | 0.413980i | \(-0.135862\pi\) | ||||
0.910286 | + | 0.413980i | \(0.135862\pi\) | |||||||
\(522\) | −21.1742 | − | 29.7594i | −0.926770 | − | 1.30253i | ||||
\(523\) | 7.94661 | + | 7.94661i | 0.347481 | + | 0.347481i | 0.859171 | − | 0.511689i | \(-0.170980\pi\) |
−0.511689 | + | 0.859171i | \(0.670980\pi\) | |||||||
\(524\) | 10.2874 | + | 6.32786i | 0.449405 | + | 0.276434i | ||||
\(525\) | 1.72615 | − | 4.04011i | 0.0753356 | − | 0.176325i | ||||
\(526\) | 4.24823 | + | 36.1529i | 0.185232 | + | 1.57634i | ||||
\(527\) | −2.08567 | − | 3.61248i | −0.0908531 | − | 0.157362i | ||||
\(528\) | 5.23920 | + | 15.5026i | 0.228007 | + | 0.674664i | ||||
\(529\) | −11.1829 | + | 19.3693i | −0.486211 | + | 0.842142i | ||||
\(530\) | 19.5398 | + | 8.41436i | 0.848753 | + | 0.365497i | ||||
\(531\) | −20.4781 | + | 33.7209i | −0.888675 | + | 1.46336i | ||||
\(532\) | −1.08655 | − | 0.0302762i | −0.0471081 | − | 0.00131264i | ||||
\(533\) | −31.0937 | + | 8.33153i | −1.34682 | + | 0.360879i | ||||
\(534\) | −10.2325 | − | 3.01796i | −0.442804 | − | 0.130600i | ||||
\(535\) | 6.71295 | + | 11.6272i | 0.290226 | + | 0.502686i | ||||
\(536\) | −20.1135 | + | 1.79715i | −0.868771 | + | 0.0776252i | ||||
\(537\) | 36.6260 | + | 5.23535i | 1.58053 | + | 0.225922i | ||||
\(538\) | 9.15328 | + | 1.33500i | 0.394626 | + | 0.0575560i | ||||
\(539\) | 10.8441 | − | 10.8441i | 0.467089 | − | 0.467089i | ||||
\(540\) | 2.37791 | − | 12.2327i | 0.102329 | − | 0.526413i | ||||
\(541\) | 23.7454 | + | 23.7454i | 1.02090 | + | 1.02090i | 0.999777 | + | 0.0211185i | \(0.00672274\pi\) |
0.0211185 | + | 0.999777i | \(0.493277\pi\) | |||||||
\(542\) | 6.95065 | − | 5.18122i | 0.298556 | − | 0.222553i | ||||
\(543\) | −1.07066 | + | 7.49021i | −0.0459462 | + | 0.321436i | ||||
\(544\) | 4.87373 | − | 0.298923i | 0.208959 | − | 0.0128162i | ||||
\(545\) | −12.1230 | + | 6.99924i | −0.519294 | + | 0.299814i | ||||
\(546\) | −4.23461 | − | 7.77743i | −0.181225 | − | 0.332843i | ||||
\(547\) | −0.183171 | − | 0.683605i | −0.00783185 | − | 0.0292288i | 0.961899 | − | 0.273404i | \(-0.0881495\pi\) |
−0.969731 | + | 0.244175i | \(0.921483\pi\) | |||||||
\(548\) | 7.48932 | + | 7.91865i | 0.319928 | + | 0.338268i | ||||
\(549\) | 0.0377324 | − | 1.70257i | 0.00161038 | − | 0.0726638i | ||||
\(550\) | −11.0550 | + | 4.39977i | −0.471388 | + | 0.187607i | ||||
\(551\) | −5.69010 | − | 3.28518i | −0.242406 | − | 0.139953i | ||||
\(552\) | −0.206167 | + | 3.89624i | −0.00877504 | + | 0.165835i | ||||
\(553\) | 0.599525 | − | 0.346136i | 0.0254944 | − | 0.0147192i | ||||
\(554\) | −0.626742 | + | 0.793649i | −0.0266277 | + | 0.0337189i | ||||
\(555\) | 18.7885 | + | 8.02746i | 0.797527 | + | 0.340747i | ||||
\(556\) | −25.3595 | − | 15.5989i | −1.07548 | − | 0.661541i | ||||
\(557\) | −11.0432 | + | 11.0432i | −0.467916 | + | 0.467916i | −0.901239 | − | 0.433322i | \(-0.857341\pi\) |
0.433322 | + | 0.901239i | \(0.357341\pi\) | |||||||
\(558\) | −13.0599 | + | 15.8049i | −0.552872 | + | 0.669076i | ||||
\(559\) | 63.2626i | 2.67572i | ||||||||
\(560\) | 0.698926 | + | 3.34329i | 0.0295350 | + | 0.141280i | ||||
\(561\) | −2.18061 | + | 2.77755i | −0.0920652 | + | 0.117268i | ||||
\(562\) | 14.5387 | − | 1.70841i | 0.613280 | − | 0.0720650i | ||||
\(563\) | −11.6019 | + | 43.2988i | −0.488961 | + | 1.82483i | 0.0725616 | + | 0.997364i | \(0.476883\pi\) |
−0.561522 | + | 0.827462i | \(0.689784\pi\) | |||||||
\(564\) | −8.98466 | − | 1.54076i | −0.378323 | − | 0.0648778i | ||||
\(565\) | 2.40271 | + | 8.96703i | 0.101083 | + | 0.377246i | ||||
\(566\) | 34.5065 | − | 13.7332i | 1.45042 | − | 0.577248i | ||||
\(567\) | −5.68674 | + | 2.95539i | −0.238820 | + | 0.124115i | ||||
\(568\) | 2.95138 | + | 8.06248i | 0.123837 | + | 0.338294i | ||||
\(569\) | 12.4715 | − | 21.6013i | 0.522833 | − | 0.905574i | −0.476814 | − | 0.879004i | \(-0.658208\pi\) |
0.999647 | − | 0.0265695i | \(-0.00845831\pi\) | |||||||
\(570\) | −0.525889 | − | 2.17923i | −0.0220271 | − | 0.0912779i | ||||
\(571\) | 9.27714 | − | 34.6227i | 0.388236 | − | 1.44892i | −0.444766 | − | 0.895647i | \(-0.646713\pi\) |
0.833002 | − | 0.553270i | \(-0.186620\pi\) | |||||||
\(572\) | −6.85005 | + | 22.9837i | −0.286415 | + | 0.960998i | ||||
\(573\) | −1.03719 | − | 8.61470i | −0.0433291 | − | 0.359884i | ||||
\(574\) | −3.81617 | − | 5.11942i | −0.159284 | − | 0.213681i | ||||
\(575\) | −2.83695 | −0.118309 | ||||||||
\(576\) | −9.73953 | − | 21.9349i | −0.405814 | − | 0.913956i | ||||
\(577\) | −20.2125 | −0.841457 | −0.420729 | − | 0.907187i | \(-0.638226\pi\) | ||||
−0.420729 | + | 0.907187i | \(0.638226\pi\) | |||||||
\(578\) | −13.7388 | − | 18.4307i | −0.571458 | − | 0.766616i | ||||
\(579\) | −9.15877 | − | 3.91312i | −0.380626 | − | 0.162624i | ||||
\(580\) | −5.89693 | + | 19.7858i | −0.244856 | + | 0.821559i | ||||
\(581\) | −2.13122 | + | 7.95381i | −0.0884178 | + | 0.329980i | ||||
\(582\) | 10.2817 | − | 9.77987i | 0.426189 | − | 0.405389i | ||||
\(583\) | −14.8155 | + | 25.6612i | −0.613596 | + | 1.06278i | ||||
\(584\) | −11.3580 | − | 31.0273i | −0.469996 | − | 1.28392i | ||||
\(585\) | 13.1974 | − | 12.6251i | 0.545644 | − | 0.521983i | ||||
\(586\) | 26.4744 | − | 10.5365i | 1.09365 | − | 0.435259i | ||||
\(587\) | 0.425823 | + | 1.58919i | 0.0175756 | + | 0.0655930i | 0.974157 | − | 0.225873i | \(-0.0725235\pi\) |
−0.956581 | + | 0.291466i | \(0.905857\pi\) | |||||||
\(588\) | −14.3766 | + | 17.2977i | −0.592880 | + | 0.713345i | ||||
\(589\) | −0.954602 | + | 3.56262i | −0.0393337 | + | 0.146795i | ||||
\(590\) | 22.1488 | − | 2.60265i | 0.911851 | − | 0.107149i | ||||
\(591\) | −1.24988 | − | 0.178658i | −0.0514131 | − | 0.00734902i | ||||
\(592\) | 38.5164 | − | 8.05198i | 1.58302 | − | 0.330934i | ||||
\(593\) | − | 35.7642i | − | 1.46866i | −0.678793 | − | 0.734329i | \(-0.737497\pi\) | ||
0.678793 | − | 0.734329i | \(-0.262503\pi\) | |||||||
\(594\) | 16.5348 | + | 5.27769i | 0.678430 | + | 0.216546i | ||||
\(595\) | −0.521182 | + | 0.521182i | −0.0213664 | + | 0.0213664i | ||||
\(596\) | 19.6617 | + | 12.0941i | 0.805375 | + | 0.495395i | ||||
\(597\) | −30.0125 | + | 22.5055i | −1.22833 | + | 0.921090i | ||||
\(598\) | −3.54390 | + | 4.48768i | −0.144921 | + | 0.183515i | ||||
\(599\) | −24.2410 | + | 13.9955i | −0.990460 | + | 0.571842i | −0.905412 | − | 0.424535i | \(-0.860438\pi\) |
−0.0850481 | + | 0.996377i | \(0.527104\pi\) | |||||||
\(600\) | 15.5526 | − | 7.91455i | 0.634932 | − | 0.323110i | ||||
\(601\) | −9.43704 | − | 5.44848i | −0.384945 | − | 0.222248i | 0.295023 | − | 0.955490i | \(-0.404673\pi\) |
−0.679968 | + | 0.733242i | \(0.738006\pi\) | |||||||
\(602\) | −11.6592 | + | 4.64023i | −0.475194 | + | 0.189122i | ||||
\(603\) | −11.1176 | + | 18.3072i | −0.452745 | + | 0.745527i | ||||
\(604\) | 13.1841 | + | 13.9399i | 0.536455 | + | 0.567208i | ||||
\(605\) | −1.68253 | − | 6.27927i | −0.0684044 | − | 0.255289i | ||||
\(606\) | −22.8468 | − | 0.571467i | −0.928087 | − | 0.0232143i | ||||
\(607\) | −36.6954 | + | 21.1861i | −1.48942 | + | 0.859916i | −0.999927 | − | 0.0120914i | \(-0.996151\pi\) |
−0.489492 | + | 0.872008i | \(0.662818\pi\) | |||||||
\(608\) | −3.23407 | − | 2.86028i | −0.131159 | − | 0.116000i | ||||
\(609\) | 9.85397 | − | 3.95432i | 0.399303 | − | 0.160237i | ||||
\(610\) | −0.771814 | + | 0.575333i | −0.0312498 | + | 0.0232946i | ||||
\(611\) | −9.44695 | − | 9.44695i | −0.382183 | − | 0.382183i | ||||
\(612\) | 2.81054 | − | 4.35014i | 0.113609 | − | 0.175844i | ||||
\(613\) | 11.5060 | − | 11.5060i | 0.464722 | − | 0.464722i | −0.435477 | − | 0.900200i | \(-0.643420\pi\) |
0.900200 | + | 0.435477i | \(0.143420\pi\) | |||||||
\(614\) | 11.7297 | + | 1.71077i | 0.473373 | + | 0.0690412i | ||||
\(615\) | 8.13205 | − | 10.3582i | 0.327916 | − | 0.417684i | ||||
\(616\) | −4.73831 | + | 0.423371i | −0.190912 | + | 0.0170581i | ||||
\(617\) | −0.520100 | − | 0.900840i | −0.0209384 | − | 0.0362665i | 0.855366 | − | 0.518024i | \(-0.173332\pi\) |
−0.876305 | + | 0.481757i | \(0.839999\pi\) | |||||||
\(618\) | 2.32258 | + | 9.62454i | 0.0934280 | + | 0.387156i | ||||
\(619\) | −17.6575 | + | 4.73131i | −0.709714 | + | 0.190167i | −0.595578 | − | 0.803298i | \(-0.703077\pi\) |
−0.114136 | + | 0.993465i | \(0.536410\pi\) | |||||||
\(620\) | 11.5851 | + | 0.322812i | 0.465270 | + | 0.0129645i | ||||
\(621\) | 3.19765 | + | 2.62699i | 0.128317 | + | 0.105418i | ||||
\(622\) | −33.8820 | − | 14.5905i | −1.35854 | − | 0.585026i | ||||
\(623\) | 1.55069 | − | 2.68588i | 0.0621272 | − | 0.107608i | ||||
\(624\) | 6.90847 | − | 34.4889i | 0.276560 | − | 1.38066i | ||||
\(625\) | 2.74947 | + | 4.76221i | 0.109979 | + | 0.190489i | ||||
\(626\) | −0.102667 | − | 0.873708i | −0.00410341 | − | 0.0349204i | ||||
\(627\) | 3.09996 | − | 0.373227i | 0.123801 | − | 0.0149052i | ||||
\(628\) | −18.6051 | − | 11.4442i | −0.742423 | − | 0.456672i | ||||
\(629\) | 6.00428 | + | 6.00428i | 0.239406 | + | 0.239406i | ||||
\(630\) | 3.29479 | + | 1.50622i | 0.131268 | + | 0.0600094i | ||||
\(631\) | 18.9729 | 0.755301 | 0.377650 | − | 0.925948i | \(-0.376732\pi\) | ||||
0.377650 | + | 0.925948i | \(0.376732\pi\) | |||||||
\(632\) | 2.70880 | + | 0.472476i | 0.107750 | + | 0.0187941i | ||||
\(633\) | 3.74054 | − | 1.50105i | 0.148673 | − | 0.0596614i | ||||
\(634\) | −12.4344 | + | 15.7458i | −0.493835 | + | 0.625347i | ||||
\(635\) | −8.35872 | − | 2.23971i | −0.331706 | − | 0.0888803i | ||||
\(636\) | 18.1809 | − | 39.4721i | 0.720920 | − | 1.56517i | ||||
\(637\) | −31.8409 | + | 8.53175i | −1.26158 | + | 0.338040i | ||||
\(638\) | −26.4107 | − | 11.3732i | −1.04561 | − | 0.450268i | ||||
\(639\) | 8.74183 | + | 2.55125i | 0.345821 | + | 0.100926i | ||||
\(640\) | −6.38718 | + | 11.9690i | −0.252475 | + | 0.473116i | ||||
\(641\) | 6.62975 | + | 3.82769i | 0.261859 | + | 0.151185i | 0.625182 | − | 0.780479i | \(-0.285025\pi\) |
−0.363323 | + | 0.931663i | \(0.618358\pi\) | |||||||
\(642\) | 24.0866 | − | 13.1145i | 0.950621 | − | 0.517589i | ||||
\(643\) | −18.3287 | − | 4.91116i | −0.722813 | − | 0.193677i | −0.121387 | − | 0.992605i | \(-0.538734\pi\) |
−0.601427 | + | 0.798928i | \(0.705401\pi\) | |||||||
\(644\) | −1.08701 | − | 0.323972i | −0.0428343 | − | 0.0127663i | ||||
\(645\) | −15.5266 | − | 20.7056i | −0.611359 | − | 0.815284i | ||||
\(646\) | 0.134463 | − | 0.921931i | 0.00529038 | − | 0.0362729i | ||||
\(647\) | 1.59451i | 0.0626865i | 0.999509 | + | 0.0313432i | \(0.00997849\pi\) | ||||
−0.999509 | + | 0.0313432i | \(0.990022\pi\) | |||||||
\(648\) | −24.8588 | − | 5.48073i | −0.976547 | − | 0.215303i | ||||
\(649\) | 31.0610i | 1.21925i | ||||||||
\(650\) | 25.3076 | + | 3.69110i | 0.992645 | + | 0.144777i | ||||
\(651\) | −3.57582 | − | 4.76857i | −0.140147 | − | 0.186895i | ||||
\(652\) | 14.0792 | + | 26.0346i | 0.551382 | + | 1.01959i | ||||
\(653\) | −1.34296 | − | 0.359845i | −0.0525540 | − | 0.0140818i | 0.232446 | − | 0.972609i | \(-0.425327\pi\) |
−0.285000 | + | 0.958527i | \(0.591994\pi\) | |||||||
\(654\) | 13.6738 | + | 25.1138i | 0.534688 | + | 0.982027i | ||||
\(655\) | −6.27121 | − | 3.62069i | −0.245037 | − | 0.141472i | ||||
\(656\) | 1.41231 | − | 25.3228i | 0.0551413 | − | 0.988691i | ||||
\(657\) | −33.6417 | − | 9.81813i | −1.31249 | − | 0.383042i | ||||
\(658\) | 1.04814 | − | 2.43398i | 0.0408607 | − | 0.0948865i | ||||
\(659\) | 28.0586 | − | 7.51827i | 1.09301 | − | 0.292870i | 0.333093 | − | 0.942894i | \(-0.391908\pi\) |
0.759914 | + | 0.650024i | \(0.225241\pi\) | |||||||
\(660\) | −3.39892 | − | 9.20371i | −0.132303 | − | 0.358254i | ||||
\(661\) | −0.302749 | − | 0.0811214i | −0.0117756 | − | 0.00315526i | 0.252926 | − | 0.967486i | \(-0.418607\pi\) |
−0.264702 | + | 0.964330i | \(0.585274\pi\) | |||||||
\(662\) | −11.9001 | − | 9.39749i | −0.462511 | − | 0.365244i | ||||
\(663\) | 7.04435 | − | 2.82684i | 0.273580 | − | 0.109786i | ||||
\(664\) | −26.7572 | + | 18.8094i | −1.03838 | + | 0.729945i | ||||
\(665\) | 0.651712 | 0.0252723 | ||||||||
\(666\) | 17.3525 | − | 37.9577i | 0.672394 | − | 1.47083i | ||||
\(667\) | −4.84807 | − | 4.84807i | −0.187718 | − | 0.187718i | ||||
\(668\) | 6.15980 | + | 25.8483i | 0.238330 | + | 1.00010i | ||||
\(669\) | −32.4862 | + | 3.91125i | −1.25599 | + | 0.151218i | ||||
\(670\) | 12.0246 | − | 1.41299i | 0.464553 | − | 0.0545884i | ||||
\(671\) | −0.670391 | − | 1.16115i | −0.0258802 | − | 0.0448257i | ||||
\(672\) | 6.86299 | − | 1.25649i | 0.264746 | − | 0.0484703i | ||||
\(673\) | −14.6918 | + | 25.4470i | −0.566329 | + | 0.980911i | 0.430595 | + | 0.902545i | \(0.358304\pi\) |
−0.996925 | + | 0.0783659i | \(0.975030\pi\) | |||||||
\(674\) | −6.61407 | + | 15.3591i | −0.254764 | + | 0.591612i | ||||
\(675\) | 3.02442 | − | 18.2604i | 0.116410 | − | 0.702843i | ||||
\(676\) | 18.5632 | − | 17.5567i | 0.713969 | − | 0.675259i | ||||
\(677\) | −7.06366 | + | 1.89270i | −0.271478 | + | 0.0727424i | −0.391990 | − | 0.919969i | \(-0.628213\pi\) |
0.120511 | + | 0.992712i | \(0.461547\pi\) | |||||||
\(678\) | 18.4342 | − | 4.44851i | 0.707960 | − | 0.170844i | ||||
\(679\) | 2.06261 | + | 3.57254i | 0.0791556 | + | 0.137102i | ||||
\(680\) | −2.91599 | + | 0.260545i | −0.111823 | + | 0.00999145i | ||||
\(681\) | 8.72736 | − | 11.1165i | 0.334433 | − | 0.425985i | ||||
\(682\) | −2.32965 | + | 15.9730i | −0.0892069 | + | 0.611637i | ||||
\(683\) | 20.6264 | − | 20.6264i | 0.789247 | − | 0.789247i | −0.192123 | − | 0.981371i | \(-0.561537\pi\) |
0.981371 | + | 0.192123i | \(0.0615374\pi\) | |||||||
\(684\) | −4.47704 | + | 0.962599i | −0.171184 | + | 0.0368059i | ||||
\(685\) | −4.62083 | − | 4.62083i | −0.176553 | − | 0.176553i | ||||
\(686\) | −8.12095 | − | 10.8943i | −0.310059 | − | 0.415947i | ||||
\(687\) | −12.1698 | + | 4.88363i | −0.464305 | + | 0.186322i | ||||
\(688\) | −47.3517 | − | 15.5613i | −1.80527 | − | 0.593269i | ||||
\(689\) | 55.1583 | − | 31.8456i | 2.10136 | − | 1.21322i | ||||
\(690\) | 0.0584950 | − | 2.33858i | 0.00222687 | − | 0.0890283i | ||||
\(691\) | −0.467582 | − | 1.74504i | −0.0177876 | − | 0.0663844i | 0.956462 | − | 0.291858i | \(-0.0942736\pi\) |
−0.974249 | + | 0.225474i | \(0.927607\pi\) | |||||||
\(692\) | 15.0717 | + | 0.419964i | 0.572941 | + | 0.0159647i | ||||
\(693\) | −2.61908 | + | 4.31279i | −0.0994907 | + | 0.163829i | ||||
\(694\) | 0.179817 | + | 0.451816i | 0.00682577 | + | 0.0171507i | ||||
\(695\) | 15.4593 | + | 8.92542i | 0.586404 | + | 0.338560i | ||||
\(696\) | 40.1030 | + | 13.0527i | 1.52010 | + | 0.494760i | ||||
\(697\) | 4.73979 | − | 2.73652i | 0.179532 | − | 0.103653i | ||||
\(698\) | −27.4780 | − | 21.6993i | −1.04006 | − | 0.821330i | ||||
\(699\) | 9.39449 | − | 7.04467i | 0.355332 | − | 0.266454i | ||||
\(700\) | 1.17601 | + | 4.93489i | 0.0444491 | + | 0.186521i | ||||
\(701\) | 31.2193 | − | 31.2193i | 1.17914 | − | 1.17914i | 0.199174 | − | 0.979964i | \(-0.436174\pi\) |
0.979964 | − | 0.199174i | \(-0.0638260\pi\) | |||||||
\(702\) | −25.1074 | − | 27.5950i | −0.947617 | − | 1.04151i | ||||
\(703\) | − | 7.50805i | − | 0.283171i | ||||||
\(704\) | −15.5182 | − | 10.7807i | −0.584865 | − | 0.406315i | ||||
\(705\) | 5.41053 | + | 0.773384i | 0.203772 | + | 0.0291273i | ||||
\(706\) | 1.09845 | + | 9.34794i | 0.0413408 | + | 0.351814i | ||||
\(707\) | 1.71957 | − | 6.41751i | 0.0646709 | − | 0.241355i | ||||
\(708\) | −4.18350 | − | 45.3626i | −0.157225 | − | 1.70483i | ||||
\(709\) | −5.00387 | − | 18.6747i | −0.187924 | − | 0.701344i | −0.993986 | − | 0.109511i | \(-0.965071\pi\) |
0.806061 | − | 0.591832i | \(-0.201595\pi\) | |||||||
\(710\) | −1.90350 | − | 4.78281i | −0.0714371 | − | 0.179496i | ||||
\(711\) | 2.10746 | − | 2.01607i | 0.0790359 | − | 0.0756087i | ||||
\(712\) | 11.5680 | − | 4.23461i | 0.433528 | − | 0.158699i | ||||
\(713\) | −1.92438 | + | 3.33312i | −0.0720686 | + | 0.124826i | ||||
\(714\) | 1.03768 | + | 1.09092i | 0.0388341 | + | 0.0408267i | ||||
\(715\) | 3.72162 | − | 13.8893i | 0.139181 | − | 0.519430i | ||||
\(716\) | −37.5789 | + | 20.3222i | −1.40439 | + | 0.759475i | ||||
\(717\) | 30.2125 | + | 12.9084i | 1.12831 | + | 0.482074i | ||||
\(718\) | 29.2231 | − | 21.7838i | 1.09060 | − | 0.812963i | ||||
\(719\) | 5.23889 | 0.195378 | 0.0976889 | − | 0.995217i | \(-0.468855\pi\) | ||||
0.0976889 | + | 0.995217i | \(0.468855\pi\) | |||||||
\(720\) | 6.20352 | + | 12.9837i | 0.231192 | + | 0.483872i | ||||
\(721\) | −2.87828 | −0.107193 | ||||||||
\(722\) | 20.8827 | − | 15.5666i | 0.777175 | − | 0.579329i | ||||
\(723\) | −0.0212238 | − | 0.176282i | −0.000789323 | − | 0.00655599i | ||||
\(724\) | −4.15598 | − | 7.68508i | −0.154456 | − | 0.285614i | ||||
\(725\) | −7.93665 | + | 29.6200i | −0.294760 | + | 1.10006i | ||||
\(726\) | −12.9088 | + | 3.11512i | −0.479089 | + | 0.115613i | ||||
\(727\) | 20.0812 | − | 34.7817i | 0.744772 | − | 1.28998i | −0.205530 | − | 0.978651i | \(-0.565892\pi\) |
0.950301 | − | 0.311332i | \(-0.100775\pi\) | |||||||
\(728\) | 9.27540 | + | 4.30435i | 0.343769 | + | 0.159530i | ||||
\(729\) | −20.3179 | + | 17.7815i | −0.752516 | + | 0.658574i | ||||
\(730\) | 7.32534 | + | 18.4060i | 0.271123 | + | 0.681235i | ||||
\(731\) | −2.78383 | − | 10.3894i | −0.102964 | − | 0.384266i | ||||
\(732\) | 1.13546 | + | 1.60550i | 0.0419677 | + | 0.0593409i | ||||
\(733\) | −12.3274 | + | 46.0065i | −0.455324 | + | 1.69929i | 0.231811 | + | 0.972761i | \(0.425535\pi\) |
−0.687135 | + | 0.726530i | \(0.741132\pi\) | |||||||
\(734\) | 2.03325 | + | 17.3032i | 0.0750488 | + | 0.638672i | ||||
\(735\) | 8.32747 | − | 10.6072i | 0.307164 | − | 0.391251i | ||||
\(736\) | −2.48727 | − | 3.75647i | −0.0916821 | − | 0.138465i | ||||
\(737\) | 16.8631i | 0.621161i | ||||||||
\(738\) | −20.7370 | − | 17.1354i | −0.763340 | − | 0.630764i | ||||
\(739\) | 9.18363 | − | 9.18363i | 0.337825 | − | 0.337825i | −0.517723 | − | 0.855548i | \(-0.673220\pi\) |
0.855548 | + | 0.517723i | \(0.173220\pi\) | |||||||
\(740\) | −22.9497 | + | 5.46903i | −0.843646 | + | 0.201046i | ||||
\(741\) | −6.17172 | − | 2.63689i | −0.226724 | − | 0.0968686i | ||||
\(742\) | 9.91489 | + | 7.82976i | 0.363987 | + | 0.287440i | ||||
\(743\) | −42.0760 | + | 24.2926i | −1.54362 | + | 0.891208i | −0.545011 | + | 0.838429i | \(0.683475\pi\) |
−0.998606 | + | 0.0527792i | \(0.983192\pi\) | |||||||
\(744\) | 1.25096 | − | 23.6413i | 0.0458626 | − | 0.866733i | ||||
\(745\) | −11.9859 | − | 6.92004i | −0.439128 | − | 0.253531i | ||||
\(746\) | −14.5117 | − | 36.4628i | −0.531313 | − | 1.33500i | ||||
\(747\) | −0.768633 | + | 34.6824i | −0.0281228 | + | 1.26896i | ||||
\(748\) | 0.113575 | − | 4.07597i | 0.00415270 | − | 0.149032i | ||||
\(749\) | 2.06353 | + | 7.70120i | 0.0753998 | + | 0.281396i | ||||
\(750\) | −22.0873 | + | 12.0260i | −0.806515 | + | 0.439127i | ||||
\(751\) | 25.5639 | − | 14.7593i | 0.932839 | − | 0.538575i | 0.0451310 | − | 0.998981i | \(-0.485629\pi\) |
0.887708 | + | 0.460406i | \(0.152296\pi\) | |||||||
\(752\) | 9.39475 | − | 4.74723i | 0.342591 | − | 0.173114i | ||||
\(753\) | −2.28464 | + | 15.9832i | −0.0832571 | + | 0.582459i | ||||
\(754\) | 36.9404 | + | 49.5559i | 1.34529 | + | 1.80472i | ||||
\(755\) | −8.13448 | − | 8.13448i | −0.296044 | − | 0.296044i | ||||
\(756\) | 3.24413 | − | 6.65131i | 0.117988 | − | 0.241906i | ||||
\(757\) | 30.3982 | − | 30.3982i | 1.10484 | − | 1.10484i | 0.111022 | − | 0.993818i | \(-0.464588\pi\) |
0.993818 | − | 0.111022i | \(-0.0354123\pi\) | |||||||
\(758\) | −5.85250 | + | 40.1270i | −0.212572 | + | 1.45748i | ||||
\(759\) | 3.22540 | + | 0.461041i | 0.117075 | + | 0.0167347i | ||||
\(760\) | 1.98605 | + | 1.66025i | 0.0720415 | + | 0.0602235i | ||||
\(761\) | −2.97086 | − | 5.14568i | −0.107694 | − | 0.186531i | 0.807142 | − | 0.590357i | \(-0.201013\pi\) |
−0.914836 | + | 0.403827i | \(0.867680\pi\) | |||||||
\(762\) | −5.00064 | + | 16.9548i | −0.181154 | + | 0.614209i | ||||
\(763\) | −8.02963 | + | 2.15153i | −0.290692 | + | 0.0778907i | ||||
\(764\) | 6.88459 | + | 7.27926i | 0.249076 | + | 0.263354i | ||||
\(765\) | −1.61180 | + | 2.65412i | −0.0582747 | + | 0.0959598i | ||||
\(766\) | −14.5001 | + | 33.6721i | −0.523911 | + | 1.21662i | ||||
\(767\) | 33.3825 | − | 57.8201i | 1.20537 | − | 2.08776i | ||||
\(768\) | 24.1154 | + | 13.6545i | 0.870191 | + | 0.492715i | ||||
\(769\) | −6.00863 | − | 10.4073i | −0.216677 | − | 0.375295i | 0.737113 | − | 0.675769i | \(-0.236188\pi\) |
−0.953790 | + | 0.300474i | \(0.902855\pi\) | |||||||
\(770\) | 2.83275 | − | 0.332870i | 0.102085 | − | 0.0119958i | ||||
\(771\) | −11.2424 | + | 26.3132i | −0.404887 | + | 0.947648i | ||||
\(772\) | 11.1872 | − | 2.66597i | 0.402636 | − | 0.0959504i | ||||
\(773\) | 22.2746 | + | 22.2746i | 0.801163 | + | 0.801163i | 0.983277 | − | 0.182114i | \(-0.0582940\pi\) |
−0.182114 | + | 0.983277i | \(0.558294\pi\) | |||||||
\(774\) | −43.0758 | + | 30.6490i | −1.54833 | + | 1.10166i | ||||
\(775\) | 17.2139 | 0.618340 | ||||||||
\(776\) | −2.81546 | + | 16.1416i | −0.101069 | + | 0.579450i | ||||
\(777\) | 9.54343 | + | 7.49236i | 0.342368 | + | 0.268787i | ||||
\(778\) | −7.93592 | − | 6.26697i | −0.284517 | − | 0.224682i | ||||
\(779\) | −4.67437 | − | 1.25249i | −0.167477 | − | 0.0448753i | ||||
\(780\) | −3.56450 | + | 20.7857i | −0.127630 | + | 0.744247i | ||||
\(781\) | 6.92536 | − | 1.85565i | 0.247809 | − | 0.0664002i | ||||
\(782\) | 0.384526 | − | 0.892943i | 0.0137506 | − | 0.0319316i | ||||
\(783\) | 36.3736 | − | 26.0367i | 1.29989 | − | 0.930477i | ||||
\(784\) | 1.44625 | − | 25.9314i | 0.0516517 | − | 0.926121i | ||||
\(785\) | 11.3417 | + | 6.54815i | 0.404803 | + | 0.233713i | ||||
\(786\) | −7.71408 | + | 12.6214i | −0.275152 | + | 0.450191i | ||||
\(787\) | −5.98650 | − | 1.60408i | −0.213396 | − | 0.0571792i | 0.150537 | − | 0.988604i | \(-0.451900\pi\) |
−0.363933 | + | 0.931425i | \(0.618566\pi\) | |||||||
\(788\) | 1.28240 | − | 0.693501i | 0.0456834 | − | 0.0247050i | ||||
\(789\) | −44.2630 | + | 5.32914i | −1.57581 | + | 0.189723i | ||||
\(790\) | −1.63136 | − | 0.237933i | −0.0580412 | − | 0.00846528i | ||||
\(791\) | 5.51285i | 0.196014i | ||||||||
\(792\) | −18.9684 | + | 6.47076i | −0.674012 | + | 0.229928i | ||||
\(793\) | 2.88198i | 0.102342i | ||||||||
\(794\) | −4.27708 | + | 29.3253i | −0.151788 | + | 1.04072i | ||||
\(795\) | −10.2372 | + | 23.9605i | −0.363077 | + | 0.849791i | ||||
\(796\) | 12.3722 | − | 41.5122i | 0.438522 | − | 1.47136i | ||||
\(797\) | 33.1217 | + | 8.87494i | 1.17323 | + | 0.314367i | 0.792239 | − | 0.610211i | \(-0.208915\pi\) |
0.380993 | + | 0.924578i | \(0.375582\pi\) | |||||||
\(798\) | 0.0332886 | − | 1.33085i | 0.00117840 | − | 0.0471116i | ||||
\(799\) | 1.96715 | + | 1.13573i | 0.0695927 | + | 0.0401794i | ||||
\(800\) | −8.98791 | + | 18.0347i | −0.317771 | + | 0.637621i | ||||
\(801\) | 3.66051 | − | 12.5427i | 0.129338 | − | 0.443174i | ||||
\(802\) | 6.58552 | + | 2.83591i | 0.232543 | + | 0.100139i | ||||
\(803\) | −26.6513 | + | 7.14118i | −0.940503 | + | 0.252007i | ||||
\(804\) | −2.27124 | − | 24.6275i | −0.0801003 | − | 0.868546i | ||||
\(805\) | 0.656892 | + | 0.176014i | 0.0231524 | + | 0.00620367i | ||||
\(806\) | 21.5035 | − | 27.2300i | 0.757427 | − | 0.959136i | ||||
\(807\) | −1.60309 | + | 11.2150i | −0.0564313 | + | 0.394788i | ||||
\(808\) | 21.5890 | − | 15.1763i | 0.759497 | − | 0.533900i | ||||
\(809\) | −12.8401 | −0.451432 | −0.225716 | − | 0.974193i | \(-0.572472\pi\) | ||||
−0.225716 | + | 0.974193i | \(0.572472\pi\) | |||||||
\(810\) | 14.9902 | + | 2.86963i | 0.526703 | + | 0.100829i | ||||
\(811\) | −37.1183 | − | 37.1183i | −1.30340 | − | 1.30340i | −0.926086 | − | 0.377314i | \(-0.876848\pi\) |
−0.377314 | − | 0.926086i | \(-0.623152\pi\) | |||||||
\(812\) | −6.42355 | + | 10.4429i | −0.225422 | + | 0.366475i | ||||
\(813\) | 6.36991 | + | 8.49466i | 0.223402 | + | 0.297921i | ||||
\(814\) | −3.83483 | − | 32.6347i | −0.134411 | − | 1.14385i | ||||
\(815\) | −8.87287 | − | 15.3683i | −0.310803 | − | 0.538327i | ||||
\(816\) | 0.383111 | + | 5.96801i | 0.0134116 | + | 0.208922i | ||||
\(817\) | −4.75519 | + | 8.23624i | −0.166363 | + | 0.288149i | ||||
\(818\) | −31.3351 | − | 13.4938i | −1.09561 | − | 0.471798i | ||||
\(819\) | 9.51055 | − | 5.21344i | 0.332326 | − | 0.182172i | ||||
\(820\) | −0.423549 | + | 15.2004i | −0.0147910 | + | 0.530820i | ||||
\(821\) | 27.1312 | − | 7.26977i | 0.946884 | − | 0.253717i | 0.247844 | − | 0.968800i | \(-0.420278\pi\) |
0.699040 | + | 0.715083i | \(0.253611\pi\) | |||||||
\(822\) | −9.67215 | + | 9.20010i | −0.337355 | + | 0.320890i | ||||
\(823\) | 9.61847 | + | 16.6597i | 0.335279 | + | 0.580720i | 0.983538 | − | 0.180700i | \(-0.0578362\pi\) |
−0.648260 | + | 0.761419i | \(0.724503\pi\) | |||||||
\(824\) | −8.77135 | − | 7.33247i | −0.305565 | − | 0.255439i | ||||
\(825\) | −5.42715 | − | 13.5242i | −0.188949 | − | 0.470852i | ||||
\(826\) | 13.1047 | + | 1.91132i | 0.455972 | + | 0.0665032i | ||||
\(827\) | 28.7848 | − | 28.7848i | 1.00095 | − | 1.00095i | 0.000945916 | − | 1.00000i | \(-0.499699\pi\) |
1.00000 | 0.000945916i | \(-0.000301094\pi\) | ||||||||
\(828\) | −4.77260 | − | 0.238904i | −0.165859 | − | 0.00830248i | ||||
\(829\) | −23.5696 | − | 23.5696i | −0.818606 | − | 0.818606i | 0.167300 | − | 0.985906i | \(-0.446495\pi\) |
−0.985906 | + | 0.167300i | \(0.946495\pi\) | |||||||
\(830\) | 15.7223 | − | 11.7199i | 0.545730 | − | 0.406804i | ||||
\(831\) | −0.974201 | − | 0.764827i | −0.0337946 | − | 0.0265315i | ||||
\(832\) | 17.3007 | + | 36.7465i | 0.599795 | + | 1.27395i | ||||
\(833\) | 4.85369 | − | 2.80228i | 0.168171 | − | 0.0970933i | ||||
\(834\) | 19.0161 | − | 31.1133i | 0.658474 | − | 1.07736i | ||||
\(835\) | −4.12343 | − | 15.3889i | −0.142697 | − | 0.532553i | ||||
\(836\) | −2.61941 | + | 2.47739i | −0.0905941 | + | 0.0856823i | ||||
\(837\) | −19.4025 | − | 15.9399i | −0.670649 | − | 0.550963i | ||||
\(838\) | −26.1709 | + | 10.4157i | −0.904058 | + | 0.359804i | ||||
\(839\) | 5.76796 | + | 3.33013i | 0.199132 | + | 0.114969i | 0.596251 | − | 0.802798i | \(-0.296656\pi\) |
−0.397119 | + | 0.917767i | \(0.629990\pi\) | |||||||
\(840\) | −4.09223 | + | 0.867669i | −0.141195 | + | 0.0299374i | ||||
\(841\) | −39.0658 | + | 22.5546i | −1.34710 | + | 0.777747i | ||||
\(842\) | −28.6550 | + | 36.2860i | −0.987515 | + | 1.25050i | ||||
\(843\) | 2.14310 | + | 17.8002i | 0.0738121 | + | 0.613072i | ||||
\(844\) | −2.43836 | + | 3.96410i | −0.0839319 | + | 0.136450i | ||||
\(845\) | −10.8323 | + | 10.8323i | −0.372643 | + | 0.372643i | ||||
\(846\) | 1.85568 | − | 11.0093i | 0.0637996 | − | 0.378506i | ||||
\(847\) | − | 3.86044i | − | 0.132646i | ||||||
\(848\) | 10.2685 | + | 49.1190i | 0.352621 | + | 1.68675i | ||||
\(849\) | 16.9400 | + | 42.2135i | 0.581378 | + | 1.44877i | ||||
\(850\) | −4.31861 | + | 0.507469i | −0.148127 | + | 0.0174060i | ||||
\(851\) | 2.02777 | − | 7.56773i | 0.0695109 | − | 0.259418i | ||||
\(852\) | −9.86414 | + | 3.64281i | −0.337940 | + | 0.124801i | ||||
\(853\) | −2.94440 | − | 10.9887i | −0.100814 | − | 0.376245i | 0.897022 | − | 0.441985i | \(-0.145726\pi\) |
−0.997837 | + | 0.0657407i | \(0.979059\pi\) | |||||||
\(854\) | −0.531146 | + | 0.211390i | −0.0181754 | + | 0.00723360i | ||||
\(855\) | 2.66716 | − | 0.651683i | 0.0912148 | − | 0.0222871i | ||||
\(856\) | −13.3305 | + | 28.7258i | −0.455627 | + | 0.981826i | ||||
\(857\) | −15.7885 | + | 27.3465i | −0.539326 | + | 0.934140i | 0.459615 | + | 0.888118i | \(0.347987\pi\) |
−0.998940 | + | 0.0460211i | \(0.985346\pi\) | |||||||
\(858\) | −28.1730 | − | 8.30932i | −0.961810 | − | 0.283675i | ||||
\(859\) | 7.30262 | − | 27.2537i | 0.249162 | − | 0.929886i | −0.722084 | − | 0.691806i | \(-0.756815\pi\) |
0.971246 | − | 0.238080i | \(-0.0765180\pi\) | |||||||
\(860\) | 28.6393 | + | 8.53561i | 0.976591 | + | 0.291062i | ||||
\(861\) | 6.25664 | − | 4.69168i | 0.213226 | − | 0.159892i | ||||
\(862\) | 9.75477 | + | 13.0861i | 0.332249 | + | 0.445714i | ||||
\(863\) | −29.1288 | −0.991557 | −0.495779 | − | 0.868449i | \(-0.665117\pi\) | ||||
−0.495779 | + | 0.868449i | \(0.665117\pi\) | |||||||
\(864\) | 26.8306 | − | 12.0049i | 0.912796 | − | 0.408416i | ||||
\(865\) | −9.03998 | −0.307369 | ||||||||
\(866\) | −20.4722 | − | 27.4637i | −0.695675 | − | 0.933253i | ||||
\(867\) | 22.5249 | − | 16.8908i | 0.764984 | − | 0.573640i | ||||
\(868\) | 6.59570 | + | 1.96578i | 0.223873 | + | 0.0667228i | ||||
\(869\) | 0.594298 | − | 2.21795i | 0.0201602 | − | 0.0752388i | ||||
\(870\) | −24.2530 | − | 7.15315i | −0.822253 | − | 0.242515i | ||||
\(871\) | 18.1235 | − | 31.3907i | 0.614090 | − | 1.06363i | ||||
\(872\) | −29.9508 | − | 13.8990i | −1.01426 | − | 0.470679i | ||||
\(873\) | 12.0137 | + | 12.5582i | 0.406601 | + | 0.425032i | ||||
\(874\) | −0.798705 | + | 0.317875i | −0.0270166 | + | 0.0107523i | ||||
\(875\) | −1.89225 | − | 7.06198i | −0.0639698 | − | 0.238739i | ||||
\(876\) | 37.9607 | − | 14.0188i | 1.28257 | − | 0.473652i | ||||
\(877\) | 8.63165 | − | 32.2138i | 0.291470 | − | 1.08778i | −0.652510 | − | 0.757780i | \(-0.726284\pi\) |
0.943980 | − | 0.330001i | \(-0.107049\pi\) | |||||||
\(878\) | 12.5779 | − | 1.47800i | 0.424484 | − | 0.0498801i | ||||
\(879\) | 12.9969 | + | 32.3875i | 0.438373 | + | 1.09240i | ||||
\(880\) | 9.48061 | + | 6.20209i | 0.319591 | + | 0.209072i | ||||
\(881\) | − | 10.4223i | − | 0.351136i | −0.984467 | − | 0.175568i | \(-0.943824\pi\) | ||
0.984467 | − | 0.175568i | \(-0.0561763\pi\) | |||||||
\(882\) | −21.2353 | − | 17.5472i | −0.715031 | − | 0.590845i | ||||
\(883\) | 7.73247 | − | 7.73247i | 0.260218 | − | 0.260218i | −0.564924 | − | 0.825143i | \(-0.691095\pi\) |
0.825143 | + | 0.564924i | \(0.191095\pi\) | |||||||
\(884\) | −4.59203 | + | 7.46538i | −0.154447 | + | 0.251088i | ||||
\(885\) | 3.26486 | + | 27.1174i | 0.109747 | + | 0.911542i | ||||
\(886\) | 17.9245 | − | 22.6979i | 0.602185 | − | 0.762551i | ||||
\(887\) | −22.0565 | + | 12.7343i | −0.740584 | + | 0.427577i | −0.822282 | − | 0.569081i | \(-0.807299\pi\) |
0.0816974 | + | 0.996657i | \(0.473966\pi\) | |||||||
\(888\) | 9.99599 | + | 47.1445i | 0.335443 | + | 1.58207i | ||||
\(889\) | −4.45039 | − | 2.56943i | −0.149261 | − | 0.0861761i | ||||
\(890\) | −6.86233 | + | 2.73112i | −0.230026 | + | 0.0915474i | ||||
\(891\) | −6.40609 | + | 20.2692i | −0.214612 | + | 0.679044i | ||||
\(892\) | 27.4502 | − | 25.9619i | 0.919102 | − | 0.869270i | ||||
\(893\) | −0.519821 | − | 1.94000i | −0.0173951 | − | 0.0649196i | ||||
\(894\) | −14.7435 | + | 24.1227i | −0.493098 | + | 0.806784i | ||||
\(895\) | 22.1829 | − | 12.8073i | 0.741492 | − | 0.428100i | ||||
\(896\) | −5.50334 | + | 5.88381i | −0.183854 | + | 0.196564i | ||||
\(897\) | −5.50860 | − | 4.32470i | −0.183927 | − | 0.144398i | ||||
\(898\) | 2.65996 | − | 1.98282i | 0.0887641 | − | 0.0661674i | ||||
\(899\) | 29.4168 | + | 29.4168i | 0.981104 | + | 0.981104i | ||||
\(900\) | 9.74754 | + | 19.0203i | 0.324918 | + | 0.634009i | ||||
\(901\) | −7.65711 | + | 7.65711i | −0.255095 | + | 0.255095i | ||||
\(902\) | −20.9575 | − | 3.05664i | −0.697808 | − | 0.101775i | ||||
\(903\) | −5.72376 | − | 14.2633i | −0.190475 | − | 0.474654i | ||||
\(904\) | −14.0441 | + | 16.8000i | −0.467099 | + | 0.558760i | ||||
\(905\) | 2.61915 | + | 4.53651i | 0.0870637 | + | 0.150799i | ||||
\(906\) | −17.0268 | + | 16.1958i | −0.565677 | + | 0.538069i | ||||
\(907\) | 35.2550 | − | 9.44656i | 1.17062 | − | 0.313668i | 0.379423 | − | 0.925223i | \(-0.376123\pi\) |
0.791202 | + | 0.611555i | \(0.209456\pi\) | |||||||
\(908\) | −0.454555 | + | 16.3131i | −0.0150849 | + | 0.541370i | ||||
\(909\) | 0.620169 | − | 27.9834i | 0.0205697 | − | 0.928150i | ||||
\(910\) | −5.63093 | − | 2.42483i | −0.186663 | − | 0.0803824i | ||||
\(911\) | −4.86150 | + | 8.42037i | −0.161069 | + | 0.278979i | −0.935252 | − | 0.353982i | \(-0.884827\pi\) |
0.774183 | + | 0.632961i | \(0.218161\pi\) | |||||||
\(912\) | 3.49181 | − | 3.97087i | 0.115626 | − | 0.131489i | ||||
\(913\) | 13.6563 | + | 23.6534i | 0.451957 | + | 0.782813i | ||||
\(914\) | −4.59293 | − | 39.0862i | −0.151920 | − | 1.29286i | ||||
\(915\) | −0.707327 | − | 0.943263i | −0.0233835 | − | 0.0311833i | ||||
\(916\) | 7.93315 | − | 12.8971i | 0.262119 | − | 0.426133i | ||||
\(917\) | −3.04073 | − | 3.04073i | −0.100414 | − | 0.100414i | ||||
\(918\) | 5.33760 | + | 3.42700i | 0.176167 | + | 0.113108i | ||||
\(919\) | −26.5741 | −0.876599 | −0.438300 | − | 0.898829i | \(-0.644419\pi\) | ||||
−0.438300 | + | 0.898829i | \(0.644419\pi\) | |||||||
\(920\) | 1.55343 | + | 2.20983i | 0.0512152 | + | 0.0728561i | ||||
\(921\) | −2.05432 | + | 14.3718i | −0.0676921 | + | 0.473568i | ||||
\(922\) | 17.4456 | − | 22.0915i | 0.574540 | − | 0.727544i | ||||
\(923\) | −14.8859 | − | 3.98867i | −0.489976 | − | 0.131289i | ||||
\(924\) | −0.535055 | − | 5.80172i | −0.0176020 | − | 0.190863i | ||||
\(925\) | −33.8472 | + | 9.06934i | −1.11289 | + | 0.298198i | ||||
\(926\) | −32.0693 | − | 13.8099i | −1.05386 | − | 0.453823i | ||||
\(927\) | −11.7795 | + | 2.87815i | −0.386888 | + | 0.0945308i | ||||
\(928\) | −46.1789 | + | 15.4600i | −1.51590 | + | 0.507498i | ||||
\(929\) | 20.9365 | + | 12.0877i | 0.686904 | + | 0.396584i | 0.802451 | − | 0.596718i | \(-0.203529\pi\) |
−0.115547 | + | 0.993302i | \(0.536862\pi\) | |||||||
\(930\) | −0.354932 | + | 14.1899i | −0.0116387 | + | 0.465305i | ||||
\(931\) | −4.78670 | − | 1.28259i | −0.156878 | − | 0.0420353i | ||||
\(932\) | −3.87275 | + | 12.9941i | −0.126856 | + | 0.425636i | ||||
\(933\) | 17.7513 | − | 41.5475i | 0.581153 | − | 1.36020i | ||||
\(934\) | −4.06147 | + | 27.8470i | −0.132895 | + | 0.911182i | ||||
\(935\) | 2.44476i | 0.0799521i | ||||||||
\(936\) | 42.2641 | + | 8.34072i | 1.38144 | + | 0.272625i | ||||
\(937\) | 1.33551i | 0.0436291i | 0.999762 | + | 0.0218146i | \(0.00694434\pi\) | ||||
−0.999762 | + | 0.0218146i | \(0.993056\pi\) | |||||||
\(938\) | 7.11460 | + | 1.03766i | 0.232300 | + | 0.0338808i | ||||
\(939\) | 1.06971 | − | 0.128790i | 0.0349086 | − | 0.00420289i | ||||
\(940\) | −5.55129 | + | 3.00206i | −0.181063 | + | 0.0979164i | ||||
\(941\) | 21.3261 | + | 5.71431i | 0.695211 | + | 0.186281i | 0.589085 | − | 0.808071i | \(-0.299488\pi\) |
0.106126 | + | 0.994353i | \(0.466155\pi\) | |||||||
\(942\) | 13.9512 | − | 22.8263i | 0.454554 | − | 0.743721i | ||||
\(943\) | −4.37325 | − | 2.52490i | −0.142413 | − | 0.0822220i | ||||
\(944\) | 35.0666 | + | 39.2091i | 1.14132 | + | 1.27615i | ||||
\(945\) | −1.83323 | + | 4.04052i | −0.0596351 | + | 0.131438i | ||||
\(946\) | −16.4623 | + | 38.2287i | −0.535236 | + | 1.24292i | ||||
\(947\) | 23.4634 | − | 6.28700i | 0.762458 | − | 0.204300i | 0.143421 | − | 0.989662i | \(-0.454190\pi\) |
0.619037 | + | 0.785362i | \(0.287523\pi\) | |||||||
\(948\) | −0.569207 | + | 3.31922i | −0.0184870 | + | 0.107803i | ||||
\(949\) | 57.2863 | + | 15.3498i | 1.85959 | + | 0.498277i | ||||
\(950\) | 3.01738 | + | 2.38282i | 0.0978967 | + | 0.0773088i | ||||
\(951\) | −19.3279 | − | 15.1740i | −0.626752 | − | 0.492051i | ||||
\(952\) | −1.71268 | − | 0.298730i | −0.0555082 | − | 0.00968190i | ||||
\(953\) | −15.2157 | −0.492885 | −0.246442 | − | 0.969157i | \(-0.579262\pi\) | ||||
−0.246442 | + | 0.969157i | \(0.579262\pi\) | |||||||
\(954\) | 48.4065 | + | 22.1291i | 1.56722 | + | 0.716458i | ||||
\(955\) | −4.24772 | − | 4.24772i | −0.137453 | − | 0.137453i | ||||
\(956\) | −36.9038 | + | 8.79439i | −1.19355 | + | 0.284431i | ||||
\(957\) | 13.8370 | − | 32.3859i | 0.447287 | − | 1.04689i | ||||
\(958\) | 35.9836 | − | 4.22835i | 1.16258 | − | 0.136612i | ||||
\(959\) | −1.94033 | − | 3.36075i | −0.0626566 | − | 0.108524i | ||||
\(960\) | −14.6812 | − | 7.78086i | −0.473833 | − | 0.251126i | ||||
\(961\) | −3.82339 | + | 6.62230i | −0.123335 | + | 0.213623i | ||||
\(962\) | −27.9353 | + | 64.8711i | −0.900670 | + | 2.09153i | ||||
\(963\) | 16.1459 | + | 29.4540i | 0.520295 | + | 0.949142i | ||||
\(964\) | 0.140879 | + | 0.148955i | 0.00453739 | + | 0.00479751i | ||||
\(965\) | −6.66032 | + | 1.78463i | −0.214403 | + | 0.0574492i | ||||
\(966\) | 0.392988 | − | 1.33244i | 0.0126442 | − | 0.0428705i | ||||
\(967\) | −16.3260 | − | 28.2775i | −0.525010 | − | 0.909344i | −0.999576 | − | 0.0291241i | \(-0.990728\pi\) |
0.474566 | − | 0.880220i | \(-0.342605\pi\) | |||||||
\(968\) | 9.83454 | − | 11.7644i | 0.316094 | − | 0.378123i | ||||
\(969\) | 1.12960 | + | 0.161465i | 0.0362878 | + | 0.00518701i | ||||
\(970\) | 1.41783 | − | 9.72120i | 0.0455238 | − | 0.312129i | ||||
\(971\) | −23.6028 | + | 23.6028i | −0.757449 | + | 0.757449i | −0.975858 | − | 0.218408i | \(-0.929914\pi\) |
0.218408 | + | 0.975858i | \(0.429914\pi\) | |||||||
\(972\) | 6.62571 | − | 30.4647i | 0.212520 | − | 0.977157i | ||||
\(973\) | 7.49574 | + | 7.49574i | 0.240303 | + | 0.240303i | ||||
\(974\) | −20.9644 | − | 28.1240i | −0.671744 | − | 0.901150i | ||||
\(975\) | −4.43232 | + | 31.0081i | −0.141948 | + | 0.993054i | ||||
\(976\) | −2.15715 | − | 0.708909i | −0.0690486 | − | 0.0226916i | ||||
\(977\) | 30.2605 | − | 17.4709i | 0.968119 | − | 0.558944i | 0.0694570 | − | 0.997585i | \(-0.477873\pi\) |
0.898662 | + | 0.438641i | \(0.144540\pi\) | |||||||
\(978\) | −31.8365 | + | 17.3342i | −1.01802 | + | 0.554285i | ||||
\(979\) | −2.66246 | − | 9.93644i | −0.0850926 | − | 0.317570i | ||||
\(980\) | −0.433728 | + | 15.5657i | −0.0138549 | + | 0.497227i | ||||
\(981\) | −30.7101 | + | 16.8345i | −0.980499 | + | 0.537484i | ||||
\(982\) | −19.7007 | − | 49.5008i | −0.628676 | − | 1.57964i | ||||
\(983\) | −28.8301 | − | 16.6450i | −0.919536 | − | 0.530895i | −0.0360492 | − | 0.999350i | \(-0.511477\pi\) |
−0.883487 | + | 0.468455i | \(0.844811\pi\) | |||||||
\(984\) | 31.0188 | + | 1.64134i | 0.988844 | + | 0.0523240i | ||||
\(985\) | −0.756999 | + | 0.437053i | −0.0241200 | + | 0.0139257i | ||||
\(986\) | −8.24728 | − | 6.51285i | −0.262647 | − | 0.207411i | ||||
\(987\) | 2.98465 | + | 1.27520i | 0.0950025 | + | 0.0405902i | ||||
\(988\) | 7.53859 | − | 1.79649i | 0.239834 | − | 0.0571539i | ||||
\(989\) | −7.01742 | + | 7.01742i | −0.223141 | + | 0.223141i | ||||
\(990\) | 11.2603 | − | 4.19491i | 0.357875 | − | 0.133323i | ||||
\(991\) | − | 10.4637i | − | 0.332390i | −0.986093 | − | 0.166195i | \(-0.946852\pi\) | ||
0.986093 | − | 0.166195i | \(-0.0531482\pi\) | |||||||
\(992\) | 15.0921 | + | 22.7932i | 0.479175 | + | 0.723686i | ||||
\(993\) | 11.4680 | − | 14.6074i | 0.363925 | − | 0.463550i | ||||
\(994\) | −0.356755 | − | 3.03602i | −0.0113156 | − | 0.0962967i | ||||
\(995\) | −6.72182 | + | 25.0862i | −0.213096 | + | 0.795286i | ||||
\(996\) | −23.1300 | − | 32.7050i | −0.732901 | − | 1.03630i | ||||
\(997\) | 7.47474 | + | 27.8961i | 0.236727 | + | 0.883479i | 0.977363 | + | 0.211571i | \(0.0678580\pi\) |
−0.740635 | + | 0.671907i | \(0.765475\pi\) | |||||||
\(998\) | 10.8931 | + | 27.3704i | 0.344815 | + | 0.866396i | ||||
\(999\) | 46.5488 | + | 21.1198i | 1.47274 | + | 0.668200i |
(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 | 144.2.u.a.83.7 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.35.16 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.47.4 | 88 | |||
9.4 | even | 3 | 432.2.v.a.179.22 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.131.1 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.1007.8 | 88 | |||
16.5 | even | 4 | 576.2.y.a.335.8 | 88 | |||
16.11 | odd | 4 | inner | 144.2.u.a.11.1 | ✓ | 88 | |
36.23 | even | 6 | 576.2.y.a.239.8 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.1583.8 | 88 | |||
48.5 | odd | 4 | 1728.2.z.a.143.8 | 88 | |||
48.11 | even | 4 | 432.2.v.a.251.22 | 88 | |||
144.5 | odd | 12 | 576.2.y.a.527.4 | 88 | |||
144.59 | even | 12 | inner | 144.2.u.a.59.7 | yes | 88 | |
144.85 | even | 12 | 1728.2.z.a.719.8 | 88 | |||
144.139 | odd | 12 | 432.2.v.a.395.16 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.1 | ✓ | 88 | 16.11 | odd | 4 | inner | |
144.2.u.a.59.7 | yes | 88 | 144.59 | even | 12 | inner | |
144.2.u.a.83.7 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.131.1 | yes | 88 | 9.5 | odd | 6 | inner | |
432.2.v.a.35.16 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.179.22 | 88 | 9.4 | even | 3 | |||
432.2.v.a.251.22 | 88 | 48.11 | even | 4 | |||
432.2.v.a.395.16 | 88 | 144.139 | odd | 12 | |||
576.2.y.a.47.4 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.239.8 | 88 | 36.23 | even | 6 | |||
576.2.y.a.335.8 | 88 | 16.5 | even | 4 | |||
576.2.y.a.527.4 | 88 | 144.5 | odd | 12 | |||
1728.2.z.a.143.8 | 88 | 48.5 | odd | 4 | |||
1728.2.z.a.719.8 | 88 | 144.85 | even | 12 | |||
1728.2.z.a.1007.8 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1583.8 | 88 | 36.31 | odd | 6 |