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 | 28.1 | ||
Character | \(\chi\) | \(=\) | 729.28 |
Dual form | 729.2.g.a.703.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{22}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.23012 | + | 1.46677i | −1.57693 | + | 1.03717i | −0.606720 | + | 0.794916i | \(0.707515\pi\) |
−0.970214 | + | 0.242249i | \(0.922115\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 2.02985 | − | 4.70573i | 1.01493 | − | 2.35287i | ||||
\(5\) | 1.24595 | − | 1.32063i | 0.557204 | − | 0.590602i | −0.386131 | − | 0.922444i | \(-0.626189\pi\) |
0.943335 | + | 0.331842i | \(0.107670\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.56492 | + | 0.299797i | 0.969450 | + | 0.113312i | 0.586054 | − | 0.810272i | \(-0.300681\pi\) |
0.383396 | + | 0.923584i | \(0.374755\pi\) | |||||||
\(8\) | 1.44840 | + | 8.21430i | 0.512088 | + | 2.90419i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.841551 | + | 4.77267i | −0.266122 | + | 1.50925i | ||||
\(11\) | −1.04979 | + | 3.50653i | −0.316522 | + | 1.05726i | 0.640673 | + | 0.767814i | \(0.278656\pi\) |
−0.957195 | + | 0.289444i | \(0.906530\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.0220064 | + | 0.377836i | −0.00610349 | + | 0.104793i | −0.999984 | − | 0.00566826i | \(-0.998196\pi\) |
0.993880 | + | 0.110461i | \(0.0352328\pi\) | |||||||
\(14\) | −6.15982 | + | 3.09358i | −1.64628 | + | 0.826794i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −8.24485 | − | 8.73903i | −2.06121 | − | 2.18476i | ||||
\(17\) | −2.13907 | + | 0.778557i | −0.518800 | + | 0.188828i | −0.588131 | − | 0.808766i | \(-0.700136\pi\) |
0.0693304 | + | 0.997594i | \(0.477914\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.32149 | − | 0.480985i | −0.303172 | − | 0.110345i | 0.185955 | − | 0.982558i | \(-0.440462\pi\) |
−0.489127 | + | 0.872213i | \(0.662684\pi\) | |||||||
\(20\) | −3.68542 | − | 8.54376i | −0.824085 | − | 1.91044i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.80213 | − | 9.35978i | −0.597417 | − | 1.99551i | ||||
\(23\) | 3.51611 | − | 0.410974i | 0.733160 | − | 0.0856941i | 0.258683 | − | 0.965962i | \(-0.416711\pi\) |
0.474476 | + | 0.880268i | \(0.342637\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.0990536 | + | 1.70069i | 0.0198107 | + | 0.340137i | ||||
\(26\) | −0.505123 | − | 0.874898i | −0.0990627 | − | 0.171582i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 6.61718 | − | 11.4613i | 1.25053 | − | 2.16598i | ||||
\(29\) | 5.90521 | + | 2.96571i | 1.09657 | + | 0.550718i | 0.902683 | − | 0.430306i | \(-0.141594\pi\) |
0.193887 | + | 0.981024i | \(0.437891\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.83658 | + | 7.83989i | 1.04828 | + | 1.40809i | 0.908491 | + | 0.417905i | \(0.137235\pi\) |
0.139790 | + | 0.990181i | \(0.455357\pi\) | |||||||
\(32\) | 14.9728 | + | 3.54862i | 2.64684 | + | 0.627313i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.62841 | − | 4.87381i | 0.622268 | − | 0.835851i | ||||
\(35\) | 3.59167 | − | 3.01377i | 0.607104 | − | 0.509421i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.463728 | − | 0.389114i | −0.0762364 | − | 0.0639699i | 0.603873 | − | 0.797080i | \(-0.293623\pi\) |
−0.680110 | + | 0.733111i | \(0.738068\pi\) | |||||||
\(38\) | 3.65259 | − | 0.865679i | 0.592528 | − | 0.140432i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 12.6526 | + | 8.32178i | 2.00056 | + | 1.31579i | ||||
\(41\) | −2.79880 | − | 1.84080i | −0.437099 | − | 0.287485i | 0.311826 | − | 0.950139i | \(-0.399059\pi\) |
−0.748925 | + | 0.662654i | \(0.769430\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.59620 | − | 0.615311i | 0.395917 | − | 0.0938340i | −0.0278346 | − | 0.999613i | \(-0.508861\pi\) |
0.423751 | + | 0.905779i | \(0.360713\pi\) | |||||||
\(44\) | 14.3699 | + | 12.0578i | 2.16634 | + | 1.81778i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.23854 | + | 6.07386i | −1.06726 | + | 0.895542i | ||||
\(47\) | −0.0900157 | + | 0.120912i | −0.0131301 | + | 0.0176368i | −0.808640 | − | 0.588304i | \(-0.799796\pi\) |
0.795510 | + | 0.605941i | \(0.207203\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.322362 | − | 0.0764011i | −0.0460516 | − | 0.0109144i | ||||
\(50\) | −2.71542 | − | 3.64744i | −0.384019 | − | 0.515826i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.73333 | + | 0.870509i | 0.240369 | + | 0.120718i | ||||
\(53\) | 6.72572 | − | 11.6493i | 0.923849 | − | 1.60015i | 0.130448 | − | 0.991455i | \(-0.458358\pi\) |
0.793401 | − | 0.608699i | \(-0.208308\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.32284 | + | 5.75532i | 0.448051 | + | 0.776047i | ||||
\(56\) | 1.25242 | + | 21.5033i | 0.167362 | + | 2.87350i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −17.5193 | + | 2.04772i | −2.30040 | + | 0.268879i | ||||
\(59\) | −1.21847 | − | 4.06996i | −0.158631 | − | 0.529864i | 0.841312 | − | 0.540550i | \(-0.181784\pi\) |
−0.999943 | + | 0.0106860i | \(0.996598\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.95087 | + | 6.84088i | 0.377820 | + | 0.875885i | 0.995958 | + | 0.0898159i | \(0.0286279\pi\) |
−0.618138 | + | 0.786069i | \(0.712113\pi\) | |||||||
\(62\) | −24.5156 | − | 8.92296i | −3.11349 | − | 1.13322i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −16.0163 | + | 5.82946i | −2.00204 | + | 0.728682i | ||||
\(65\) | 0.471561 | + | 0.499826i | 0.0584900 | + | 0.0619957i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.01808 | − | 4.52905i | 1.10173 | − | 0.553311i | 0.197480 | − | 0.980307i | \(-0.436724\pi\) |
0.904254 | + | 0.426996i | \(0.140428\pi\) | |||||||
\(68\) | −0.678316 | + | 11.6462i | −0.0822579 | + | 1.41231i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.58935 | + | 11.9892i | −0.429009 | + | 1.43299i | ||||
\(71\) | 0.305263 | − | 1.73123i | 0.0362281 | − | 0.205460i | −0.961321 | − | 0.275431i | \(-0.911180\pi\) |
0.997549 | + | 0.0699711i | \(0.0222907\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.930968 | + | 5.27978i | 0.108962 | + | 0.617951i | 0.989564 | + | 0.144095i | \(0.0460272\pi\) |
−0.880602 | + | 0.473856i | \(0.842862\pi\) | |||||||
\(74\) | 1.60491 | + | 0.187587i | 0.186567 | + | 0.0218066i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.94583 | + | 5.24227i | −0.567325 | + | 0.601330i | ||||
\(77\) | −3.74387 | + | 8.67926i | −0.426653 | + | 0.989093i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.55048 | + | 2.33519i | −0.399460 | + | 0.262729i | −0.733306 | − | 0.679898i | \(-0.762024\pi\) |
0.333846 | + | 0.942628i | \(0.391653\pi\) | |||||||
\(80\) | −21.8136 | −2.43884 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 8.94171 | 0.987446 | ||||||||
\(83\) | 2.17613 | − | 1.43126i | 0.238861 | − | 0.157102i | −0.424435 | − | 0.905458i | \(-0.639527\pi\) |
0.663296 | + | 0.748357i | \(0.269157\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.63698 | + | 3.79495i | −0.177556 | + | 0.411620i | ||||
\(86\) | −4.88732 | + | 5.18025i | −0.527013 | + | 0.558601i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −30.3242 | − | 3.54439i | −3.23257 | − | 0.377833i | ||||
\(89\) | 0.553979 | + | 3.14177i | 0.0587216 | + | 0.333027i | 0.999989 | − | 0.00463450i | \(-0.00147521\pi\) |
−0.941268 | + | 0.337661i | \(0.890364\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.169719 | + | 0.962523i | −0.0177914 | + | 0.100900i | ||||
\(92\) | 5.20326 | − | 17.3801i | 0.542477 | − | 1.81200i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.0233953 | − | 0.401681i | 0.00241304 | − | 0.0414302i | ||||
\(95\) | −2.28171 | + | 1.14592i | −0.234099 | + | 0.117569i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.5487 | − | 11.1810i | −1.07106 | − | 1.13526i | −0.990360 | − | 0.138520i | \(-0.955765\pi\) |
−0.0807017 | − | 0.996738i | \(-0.525716\pi\) | |||||||
\(98\) | 0.830968 | − | 0.302448i | 0.0839405 | − | 0.0305518i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 8.20403 | + | 2.98602i | 0.820403 | + | 0.298602i | ||||
\(101\) | 5.16679 | + | 11.9780i | 0.514115 | + | 1.19185i | 0.955622 | + | 0.294594i | \(0.0951846\pi\) |
−0.441508 | + | 0.897258i | \(0.645556\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.93516 | + | 13.1443i | 0.387742 | + | 1.29515i | 0.899839 | + | 0.436222i | \(0.143684\pi\) |
−0.512097 | + | 0.858928i | \(0.671131\pi\) | |||||||
\(104\) | −3.13553 | + | 0.366491i | −0.307464 | + | 0.0359374i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.08770 | + | 35.8445i | 0.202776 | + | 3.48152i | ||||
\(107\) | 1.15268 | + | 1.99650i | 0.111434 | + | 0.193009i | 0.916349 | − | 0.400381i | \(-0.131122\pi\) |
−0.804915 | + | 0.593390i | \(0.797789\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.62468 | + | 8.01018i | −0.442964 | + | 0.767236i | −0.997908 | − | 0.0646518i | \(-0.979406\pi\) |
0.554944 | + | 0.831888i | \(0.312740\pi\) | |||||||
\(110\) | −15.8521 | − | 7.96121i | −1.51144 | − | 0.759072i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −18.5275 | − | 24.8867i | −1.75068 | − | 2.35157i | ||||
\(113\) | −9.24278 | − | 2.19058i | −0.869487 | − | 0.206072i | −0.228425 | − | 0.973561i | \(-0.573358\pi\) |
−0.641062 | + | 0.767489i | \(0.721506\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.83814 | − | 5.15552i | 0.357908 | − | 0.480754i | ||||
\(116\) | 25.9425 | − | 21.7684i | 2.40870 | − | 2.02114i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 8.68704 | + | 7.28929i | 0.799706 | + | 0.671033i | ||||
\(119\) | −5.71996 | + | 1.35565i | −0.524347 | + | 0.124273i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.00333 | − | 1.31761i | −0.182121 | − | 0.119783i | ||||
\(122\) | −16.6148 | − | 10.9277i | −1.50424 | − | 0.989351i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 48.7398 | − | 11.5516i | 4.37697 | − | 1.03736i | ||||
\(125\) | 9.32357 | + | 7.82340i | 0.833925 | + | 0.699746i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.69030 | − | 8.13112i | 0.859875 | − | 0.721521i | −0.102066 | − | 0.994778i | \(-0.532545\pi\) |
0.961941 | + | 0.273257i | \(0.0881009\pi\) | |||||||
\(128\) | 8.79016 | − | 11.8072i | 0.776948 | − | 1.04362i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.78477 | − | 0.422998i | −0.156535 | − | 0.0370994i | ||||
\(131\) | 8.88502 | + | 11.9347i | 0.776288 | + | 1.04274i | 0.997715 | + | 0.0675591i | \(0.0215211\pi\) |
−0.221427 | + | 0.975177i | \(0.571071\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.24533 | − | 1.62987i | −0.281406 | − | 0.141328i | ||||
\(134\) | −13.4683 | + | 23.3278i | −1.16349 | + | 2.01522i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −9.49354 | − | 16.4433i | −0.814064 | − | 1.41000i | ||||
\(137\) | −0.944711 | − | 16.2201i | −0.0807121 | − | 1.38577i | −0.759054 | − | 0.651027i | \(-0.774338\pi\) |
0.678342 | − | 0.734746i | \(-0.262699\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 16.3959 | − | 1.91640i | 1.39068 | − | 0.162547i | 0.612441 | − | 0.790516i | \(-0.290188\pi\) |
0.778238 | + | 0.627969i | \(0.216114\pi\) | |||||||
\(140\) | −6.89143 | − | 23.0190i | −0.582432 | − | 1.94546i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.85855 | + | 4.30861i | 0.155966 | + | 0.361570i | ||||
\(143\) | −1.30179 | − | 0.473813i | −0.108861 | − | 0.0396223i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 11.2742 | − | 4.10346i | 0.936268 | − | 0.340774i | ||||
\(146\) | −9.82041 | − | 10.4090i | −0.812743 | − | 0.861457i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.77237 | + | 1.39233i | −0.227887 | + | 0.114449i | ||||
\(149\) | −0.198127 | + | 3.40171i | −0.0162312 | + | 0.278679i | 0.980421 | + | 0.196915i | \(0.0630923\pi\) |
−0.996652 | + | 0.0817637i | \(0.973945\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.47827 | − | 8.27799i | 0.201678 | − | 0.673653i | −0.795984 | − | 0.605318i | \(-0.793046\pi\) |
0.997662 | − | 0.0683353i | \(-0.0217688\pi\) | |||||||
\(152\) | 2.03690 | − | 11.5518i | 0.165214 | − | 0.936976i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.38123 | − | 24.8472i | −0.353050 | − | 2.00224i | ||||
\(155\) | 17.6256 | + | 2.06014i | 1.41572 | + | 0.165474i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.66576 | + | 2.82554i | −0.212751 | + | 0.225503i | −0.824957 | − | 0.565195i | \(-0.808801\pi\) |
0.612206 | + | 0.790698i | \(0.290282\pi\) | |||||||
\(158\) | 4.49281 | − | 10.4155i | 0.357429 | − | 0.828613i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 23.3417 | − | 15.3521i | 1.84532 | − | 1.21369i | ||||
\(161\) | 9.14176 | 0.720472 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −23.8379 | −1.86713 | −0.933564 | − | 0.358412i | \(-0.883318\pi\) | ||||
−0.933564 | + | 0.358412i | \(0.883318\pi\) | |||||||
\(164\) | −14.3435 | + | 9.43385i | −1.12004 | + | 0.736660i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.75369 | + | 6.38378i | −0.213728 | + | 0.495477i | ||||
\(167\) | 8.77585 | − | 9.30186i | 0.679096 | − | 0.719799i | −0.292548 | − | 0.956251i | \(-0.594503\pi\) |
0.971643 | + | 0.236452i | \(0.0759845\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.7698 | + | 1.49258i | 0.982294 | + | 0.114814i | ||||
\(170\) | −1.91566 | − | 10.8643i | −0.146925 | − | 0.833252i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.37442 | − | 13.4660i | 0.181048 | − | 1.02677i | ||||
\(173\) | −1.46229 | + | 4.88437i | −0.111176 | + | 0.371352i | −0.995411 | − | 0.0956887i | \(-0.969495\pi\) |
0.884236 | + | 0.467041i | \(0.154680\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.255795 | + | 4.39182i | −0.0193362 | + | 0.331991i | ||||
\(176\) | 39.2990 | − | 19.7367i | 2.96227 | − | 1.48771i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.84370 | − | 6.19397i | −0.438004 | − | 0.464257i | ||||
\(179\) | −1.10838 | + | 0.403418i | −0.0828444 | + | 0.0301529i | −0.383110 | − | 0.923703i | \(-0.625147\pi\) |
0.300266 | + | 0.953856i | \(0.402925\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.7631 | − | 3.91744i | −0.800013 | − | 0.291181i | −0.0905211 | − | 0.995895i | \(-0.528853\pi\) |
−0.709492 | + | 0.704714i | \(0.751075\pi\) | |||||||
\(182\) | −1.03331 | − | 2.39548i | −0.0765940 | − | 0.177565i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 8.46861 | + | 28.2871i | 0.624314 | + | 2.08535i | ||||
\(185\) | −1.09165 | + | 0.127596i | −0.0802600 | + | 0.00938105i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.484470 | − | 8.31803i | −0.0354279 | − | 0.608274i | ||||
\(188\) | 0.386261 | + | 0.669024i | 0.0281710 | + | 0.0487936i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.40769 | − | 5.90229i | 0.247220 | − | 0.428197i | ||||
\(191\) | 13.7471 | + | 6.90406i | 0.994706 | + | 0.499560i | 0.870221 | − | 0.492661i | \(-0.163976\pi\) |
0.124485 | + | 0.992222i | \(0.460272\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.4188 | − | 13.9948i | −0.749958 | − | 1.00737i | −0.999242 | − | 0.0389382i | \(-0.987602\pi\) |
0.249283 | − | 0.968431i | \(-0.419805\pi\) | |||||||
\(194\) | 39.9249 | + | 9.46238i | 2.86644 | + | 0.679360i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.01387 | + | 1.36186i | −0.0724193 | + | 0.0972760i | ||||
\(197\) | −7.01270 | + | 5.88435i | −0.499634 | + | 0.419243i | −0.857464 | − | 0.514544i | \(-0.827961\pi\) |
0.357830 | + | 0.933787i | \(0.383517\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −17.7580 | − | 14.9007i | −1.25883 | − | 1.05629i | −0.995805 | − | 0.0914967i | \(-0.970835\pi\) |
−0.263026 | − | 0.964789i | \(-0.584721\pi\) | |||||||
\(200\) | −13.8265 | + | 3.27693i | −0.977679 | + | 0.231714i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −29.0915 | − | 19.1338i | −2.04687 | − | 1.34625i | ||||
\(203\) | 14.2573 | + | 9.37717i | 1.00067 | + | 0.658148i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.91817 | + | 1.40263i | −0.413343 | + | 0.0979640i | ||||
\(206\) | −28.0556 | − | 23.5415i | −1.95473 | − | 1.64021i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.48336 | − | 2.92289i | 0.241527 | − | 0.202666i | ||||
\(209\) | 3.07387 | − | 4.12893i | 0.212624 | − | 0.285604i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −25.1316 | − | 5.95630i | −1.73013 | − | 0.410048i | −0.759478 | − | 0.650534i | \(-0.774545\pi\) |
−0.970653 | + | 0.240485i | \(0.922693\pi\) | |||||||
\(212\) | −41.1662 | − | 55.2958i | −2.82731 | − | 3.79773i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.49903 | − | 2.76172i | −0.375906 | − | 0.188787i | ||||
\(215\) | 2.42213 | − | 4.19525i | 0.165188 | − | 0.286114i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 12.6200 | + | 21.8585i | 0.856702 | + | 1.48385i | ||||
\(218\) | −1.43553 | − | 24.6470i | −0.0972261 | − | 1.66931i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 33.8279 | − | 3.95391i | 2.28067 | − | 0.266573i | ||||
\(221\) | −0.247094 | − | 0.825350i | −0.0166213 | − | 0.0555191i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.61565 | + | 3.74549i | 0.108192 | + | 0.250816i | 0.963708 | − | 0.266960i | \(-0.0860192\pi\) |
−0.855516 | + | 0.517776i | \(0.826760\pi\) | |||||||
\(224\) | 37.3402 | + | 13.5907i | 2.49490 | + | 0.908069i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 23.8256 | − | 8.67180i | 1.58485 | − | 0.576840i | ||||
\(227\) | −14.6081 | − | 15.4837i | −0.969576 | − | 1.02769i | −0.999604 | − | 0.0281412i | \(-0.991041\pi\) |
0.0300282 | − | 0.999549i | \(-0.490440\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.8317 | − | 5.43987i | 0.715777 | − | 0.359477i | −0.0533473 | − | 0.998576i | \(-0.516989\pi\) |
0.769124 | + | 0.639099i | \(0.220693\pi\) | |||||||
\(230\) | −0.997540 | + | 17.1271i | −0.0657758 | + | 1.12933i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −15.8081 | + | 52.8027i | −1.03785 | + | 3.46667i | ||||
\(233\) | −4.18661 | + | 23.7435i | −0.274274 | + | 1.55549i | 0.466984 | + | 0.884266i | \(0.345341\pi\) |
−0.741258 | + | 0.671220i | \(0.765771\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.0475249 | + | 0.269527i | 0.00310018 | + | 0.0175820i | ||||
\(236\) | −21.6254 | − | 2.52765i | −1.40770 | − | 0.164536i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 10.7678 | − | 11.4132i | 0.697970 | − | 0.739805i | ||||
\(239\) | 9.40236 | − | 21.7971i | 0.608188 | − | 1.40994i | −0.284242 | − | 0.958753i | \(-0.591742\pi\) |
0.892430 | − | 0.451186i | \(-0.148999\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.5898 | − | 6.96500i | 0.682146 | − | 0.448655i | −0.160561 | − | 0.987026i | \(-0.551330\pi\) |
0.842708 | + | 0.538371i | \(0.180960\pi\) | |||||||
\(242\) | 6.40031 | 0.411428 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 38.1812 | 2.44430 | ||||||||
\(245\) | −0.502542 | + | 0.330527i | −0.0321062 | + | 0.0211166i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.210815 | − | 0.488724i | 0.0134138 | − | 0.0310967i | ||||
\(248\) | −55.9455 | + | 59.2988i | −3.55254 | + | 3.76548i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −32.2678 | − | 3.77157i | −2.04080 | − | 0.238535i | ||||
\(251\) | −2.35563 | − | 13.3595i | −0.148686 | − | 0.843242i | −0.964333 | − | 0.264692i | \(-0.914730\pi\) |
0.815647 | − | 0.578550i | \(-0.196381\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.25007 | + | 12.7608i | −0.141461 | + | 0.802263i | ||||
\(254\) | −9.68401 | + | 32.3469i | −0.607629 | + | 2.02962i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.302516 | + | 5.19400i | −0.0189073 | + | 0.324625i | ||||
\(257\) | −2.50132 | + | 1.25621i | −0.156028 | + | 0.0783603i | −0.525100 | − | 0.851041i | \(-0.675972\pi\) |
0.369072 | + | 0.929401i | \(0.379676\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.07277 | − | 1.13707i | −0.0666588 | − | 0.0706542i | ||||
\(260\) | 3.30925 | − | 1.20447i | 0.205231 | − | 0.0746979i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −37.3201 | − | 13.5834i | −2.30564 | − | 0.839186i | ||||
\(263\) | 0.588361 | + | 1.36397i | 0.0362799 | + | 0.0841063i | 0.935393 | − | 0.353611i | \(-0.115046\pi\) |
−0.899113 | + | 0.437717i | \(0.855787\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −7.00447 | − | 23.3966i | −0.430281 | − | 1.43724i | ||||
\(266\) | 9.62814 | − | 1.12537i | 0.590339 | − | 0.0690007i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.00710 | − | 51.6300i | −0.183688 | − | 3.15380i | ||||
\(269\) | 4.56187 | + | 7.90140i | 0.278142 | + | 0.481757i | 0.970923 | − | 0.239392i | \(-0.0769480\pi\) |
−0.692781 | + | 0.721148i | \(0.743615\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.94843 | + | 5.10683i | −0.179105 | + | 0.310218i | −0.941574 | − | 0.336806i | \(-0.890653\pi\) |
0.762470 | + | 0.647024i | \(0.223987\pi\) | |||||||
\(272\) | 24.4401 | + | 12.2743i | 1.48190 | + | 0.744238i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 25.8980 | + | 34.7870i | 1.56455 | + | 2.10156i | ||||
\(275\) | −6.06749 | − | 1.43802i | −0.365883 | − | 0.0867159i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.95581 | + | 3.97034i | −0.177597 | + | 0.238555i | −0.882004 | − | 0.471242i | \(-0.843806\pi\) |
0.704407 | + | 0.709797i | \(0.251213\pi\) | |||||||
\(278\) | −33.7538 | + | 28.3228i | −2.02442 | + | 1.69869i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 29.9582 | + | 25.1379i | 1.79035 | + | 1.50228i | ||||
\(281\) | −13.2418 | + | 3.13837i | −0.789942 | + | 0.187220i | −0.605733 | − | 0.795668i | \(-0.707120\pi\) |
−0.184208 | + | 0.982887i | \(0.558972\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.88030 | + | 6.49838i | 0.587323 | + | 0.386289i | 0.808108 | − | 0.589034i | \(-0.200492\pi\) |
−0.220785 | + | 0.975322i | \(0.570862\pi\) | |||||||
\(284\) | −7.52708 | − | 4.95064i | −0.446650 | − | 0.293766i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.59813 | − | 0.852772i | 0.212762 | − | 0.0504255i | ||||
\(287\) | −6.62685 | − | 5.56058i | −0.391170 | − | 0.328231i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.05329 | + | 7.59661i | −0.532547 | + | 0.446860i | ||||
\(290\) | −19.1239 | + | 25.6878i | −1.12299 | + | 1.50844i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 26.7350 | + | 6.33630i | 1.56454 | + | 0.370804i | ||||
\(293\) | 9.72118 | + | 13.0578i | 0.567918 | + | 0.762846i | 0.989592 | − | 0.143902i | \(-0.0459649\pi\) |
−0.421674 | + | 0.906747i | \(0.638557\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.89304 | − | 3.46181i | −0.401328 | − | 0.201555i | ||||
\(296\) | 2.52464 | − | 4.37280i | 0.146741 | − | 0.254164i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −4.54769 | − | 7.87683i | −0.263440 | − | 0.456292i | ||||
\(299\) | 0.0779038 | + | 1.33756i | 0.00450529 | + | 0.0773529i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.84352 | − | 0.799893i | 0.394454 | − | 0.0461051i | ||||
\(302\) | 6.61510 | + | 22.0960i | 0.380656 | + | 1.27148i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 6.69218 | + | 15.5142i | 0.383823 | + | 0.889802i | ||||
\(305\) | 12.7109 | + | 4.62638i | 0.727822 | + | 0.264906i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 23.4445 | − | 8.53312i | 1.33805 | − | 0.487011i | 0.428853 | − | 0.903374i | \(-0.358918\pi\) |
0.909198 | + | 0.416364i | \(0.136696\pi\) | |||||||
\(308\) | 33.2427 | + | 35.2353i | 1.89418 | + | 2.00772i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −42.3290 | + | 21.2584i | −2.40413 | + | 1.20740i | ||||
\(311\) | 0.482249 | − | 8.27990i | 0.0273459 | − | 0.469510i | −0.956641 | − | 0.291269i | \(-0.905922\pi\) |
0.983987 | − | 0.178241i | \(-0.0570406\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.58728 | + | 5.30188i | −0.0897183 | + | 0.299680i | −0.991058 | − | 0.133433i | \(-0.957400\pi\) |
0.901340 | + | 0.433113i | \(0.142585\pi\) | |||||||
\(314\) | 1.80054 | − | 10.2114i | 0.101610 | − | 0.576261i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.78181 | + | 21.4477i | 0.212743 | + | 1.20653i | ||||
\(317\) | −21.9438 | − | 2.56486i | −1.23249 | − | 0.144057i | −0.525196 | − | 0.850981i | \(-0.676008\pi\) |
−0.707289 | + | 0.706924i | \(0.750082\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −16.5985 | + | 17.5934i | −0.929340 | + | 0.985043i | ||||
\(320\) | −12.2569 | + | 28.4147i | −0.685183 | + | 1.58843i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −20.3872 | + | 13.4089i | −1.13614 | + | 0.747248i | ||||
\(323\) | 3.20124 | 0.178122 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.644760 | −0.0357648 | ||||||||
\(326\) | 53.1614 | − | 34.9648i | 2.94434 | − | 1.93652i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 11.0671 | − | 25.6564i | 0.611079 | − | 1.41664i | ||||
\(329\) | −0.267132 | + | 0.283144i | −0.0147275 | + | 0.0156102i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.84377 | − | 0.332389i | −0.156308 | − | 0.0182698i | 0.0375791 | − | 0.999294i | \(-0.488035\pi\) |
−0.193887 | + | 0.981024i | \(0.562109\pi\) | |||||||
\(332\) | −2.31791 | − | 13.1455i | −0.127212 | − | 0.721455i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.92749 | + | 33.6165i | −0.324338 | + | 1.83941i | ||||
\(335\) | 5.25486 | − | 17.5525i | 0.287104 | − | 0.958993i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.939940 | − | 16.1381i | 0.0512018 | − | 0.879101i | −0.870733 | − | 0.491756i | \(-0.836355\pi\) |
0.921935 | − | 0.387345i | \(-0.126608\pi\) | |||||||
\(338\) | −30.6675 | + | 15.4018i | −1.66809 | + | 0.837748i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 14.5352 | + | 15.4064i | 0.788281 | + | 0.835529i | ||||
\(341\) | −33.6180 | + | 12.2359i | −1.82052 | + | 0.662613i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.7905 | − | 6.47520i | −0.960595 | − | 0.349628i | ||||
\(344\) | 8.81469 | + | 20.4348i | 0.475256 | + | 1.10177i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.90320 | − | 13.0376i | −0.209837 | − | 0.700905i | ||||
\(347\) | 14.6404 | − | 1.71122i | 0.785939 | − | 0.0918631i | 0.286349 | − | 0.958125i | \(-0.407558\pi\) |
0.499590 | + | 0.866262i | \(0.333484\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.143834 | + | 2.46953i | 0.00769924 | + | 0.132191i | 0.999967 | + | 0.00807818i | \(0.00257139\pi\) |
−0.992268 | + | 0.124113i | \(0.960392\pi\) | |||||||
\(350\) | −5.87136 | − | 10.1695i | −0.313837 | − | 0.543582i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −28.1616 | + | 48.7773i | −1.50102 | + | 2.59984i | ||||
\(353\) | −13.9985 | − | 7.03032i | −0.745066 | − | 0.374186i | 0.0354092 | − | 0.999373i | \(-0.488727\pi\) |
−0.780475 | + | 0.625187i | \(0.785023\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.90597 | − | 2.56016i | −0.101158 | − | 0.135879i | ||||
\(356\) | 15.9088 | + | 3.77046i | 0.843166 | + | 0.199834i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.88010 | − | 2.52542i | 0.0993665 | − | 0.133472i | ||||
\(359\) | 0.180567 | − | 0.151513i | 0.00952994 | − | 0.00799657i | −0.638010 | − | 0.770028i | \(-0.720242\pi\) |
0.647540 | + | 0.762031i | \(0.275798\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.0398 | − | 10.9417i | −0.686307 | − | 0.575880i | ||||
\(362\) | 29.7490 | − | 7.05063i | 1.56357 | − | 0.370573i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4.18487 | + | 2.75243i | 0.219347 | + | 0.144267i | ||||
\(365\) | 8.13255 | + | 5.34886i | 0.425677 | + | 0.279972i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −9.37480 | + | 2.22187i | −0.489361 | + | 0.115981i | −0.467886 | − | 0.883789i | \(-0.654984\pi\) |
−0.0214745 | + | 0.999769i | \(0.506836\pi\) | |||||||
\(368\) | −32.5813 | − | 27.3390i | −1.69842 | − | 1.42514i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.24737 | − | 1.88576i | 0.116835 | − | 0.0980362i | ||||
\(371\) | 20.7434 | − | 27.8632i | 1.07694 | − | 1.44659i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.0585838 | − | 0.0138846i | −0.00303336 | − | 0.000718918i | 0.229099 | − | 0.973403i | \(-0.426422\pi\) |
−0.232132 | + | 0.972684i | \(0.574570\pi\) | |||||||
\(374\) | 13.2811 | + | 17.8396i | 0.686749 | + | 0.922463i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.12359 | − | 0.564287i | −0.0579446 | − | 0.0291009i | ||||
\(377\) | −1.25050 | + | 2.16594i | −0.0644042 | + | 0.111551i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.23614 | − | 2.14105i | −0.0634961 | − | 0.109979i | 0.832530 | − | 0.553980i | \(-0.186892\pi\) |
−0.896026 | + | 0.444002i | \(0.853558\pi\) | |||||||
\(380\) | 0.760843 | + | 13.0632i | 0.0390304 | + | 0.670127i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −40.7844 | + | 4.76701i | −2.08671 | + | 0.243902i | ||||
\(383\) | −7.91287 | − | 26.4308i | −0.404329 | − | 1.35055i | −0.881684 | − | 0.471841i | \(-0.843590\pi\) |
0.477355 | − | 0.878711i | \(-0.341596\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 6.79739 | + | 15.7581i | 0.346427 | + | 0.803109i | ||||
\(386\) | 43.7623 | + | 15.9282i | 2.22744 | + | 0.810723i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −74.0272 | + | 26.9437i | −3.75816 | + | 1.36786i | ||||
\(389\) | 7.41631 | + | 7.86083i | 0.376022 | + | 0.398560i | 0.887554 | − | 0.460705i | \(-0.152403\pi\) |
−0.511532 | + | 0.859264i | \(0.670922\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.20123 | + | 3.61659i | −0.364182 | + | 0.182899i | ||||
\(392\) | 0.160672 | − | 2.75863i | 0.00811517 | − | 0.139332i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 7.00815 | − | 23.4089i | 0.353065 | − | 1.17932i | ||||
\(395\) | −1.33980 | + | 7.59837i | −0.0674126 | + | 0.382316i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.32712 | − | 18.8690i | −0.166983 | − | 0.947010i | −0.946996 | − | 0.321246i | \(-0.895898\pi\) |
0.780012 | − | 0.625764i | \(-0.215213\pi\) | |||||||
\(398\) | 61.4585 | + | 7.18347i | 3.08064 | + | 0.360075i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 14.0457 | − | 14.8875i | 0.702283 | − | 0.744376i | ||||
\(401\) | −12.4792 | + | 28.9301i | −0.623182 | + | 1.44470i | 0.255271 | + | 0.966870i | \(0.417835\pi\) |
−0.878453 | + | 0.477829i | \(0.841424\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.09064 | + | 2.03274i | −0.153956 | + | 0.101258i | ||||
\(404\) | 66.8529 | 3.32606 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −45.5497 | −2.26059 | ||||||||
\(407\) | 1.85125 | − | 1.21759i | 0.0917633 | − | 0.0603537i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.362689 | + | 0.840808i | −0.0179338 | + | 0.0415753i | −0.926948 | − | 0.375191i | \(-0.877577\pi\) |
0.909014 | + | 0.416766i | \(0.136837\pi\) | |||||||
\(410\) | 11.1409 | − | 11.8086i | 0.550209 | − | 0.583187i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 69.8415 | + | 8.16330i | 3.44084 | + | 0.402177i | ||||
\(413\) | −1.90511 | − | 10.8044i | −0.0937444 | − | 0.531651i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.821178 | − | 4.65713i | 0.0403100 | − | 0.228609i | ||||
\(416\) | −1.67029 | + | 5.57917i | −0.0818929 | + | 0.273541i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.798906 | + | 13.7167i | −0.0390758 | + | 0.670905i | ||||
\(419\) | 10.9019 | − | 5.47513i | 0.532591 | − | 0.267477i | −0.162114 | − | 0.986772i | \(-0.551831\pi\) |
0.694705 | + | 0.719295i | \(0.255535\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −21.5036 | − | 22.7925i | −1.04802 | − | 1.11084i | −0.993672 | − | 0.112318i | \(-0.964172\pi\) |
−0.0543513 | − | 0.998522i | \(-0.517309\pi\) | |||||||
\(422\) | 64.7830 | − | 23.5791i | 3.15359 | − | 1.14781i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 105.432 | + | 38.3743i | 5.12025 | + | 1.86362i | ||||
\(425\) | −1.53596 | − | 3.56076i | −0.0745052 | − | 0.172722i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.51788 | + | 18.4310i | 0.267029 | + | 0.891938i | ||||
\(428\) | 11.7348 | − | 1.37160i | 0.567221 | − | 0.0662987i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.751842 | + | 12.9086i | 0.0362570 | + | 0.622509i | ||||
\(431\) | −6.90324 | − | 11.9568i | −0.332518 | − | 0.575937i | 0.650487 | − | 0.759517i | \(-0.274565\pi\) |
−0.983005 | + | 0.183580i | \(0.941231\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.1413 | − | 21.0293i | 0.583472 | − | 1.01060i | −0.411592 | − | 0.911368i | \(-0.635027\pi\) |
0.995064 | − | 0.0992354i | \(-0.0316397\pi\) | |||||||
\(434\) | −60.2056 | − | 30.2364i | −2.88996 | − | 1.45139i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 28.3063 | + | 38.0220i | 1.35563 | + | 1.82092i | ||||
\(437\) | −4.84419 | − | 1.14809i | −0.231729 | − | 0.0549208i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.58958 | − | 10.1946i | 0.362231 | − | 0.486561i | −0.583225 | − | 0.812311i | \(-0.698209\pi\) |
0.945456 | + | 0.325750i | \(0.105617\pi\) | |||||||
\(440\) | −42.4631 | + | 35.6308i | −2.02435 | + | 1.69863i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.76165 | + | 1.47820i | 0.0837932 | + | 0.0703108i | ||||
\(443\) | −24.8296 | + | 5.88473i | −1.17969 | + | 0.279592i | −0.773260 | − | 0.634090i | \(-0.781375\pi\) |
−0.406431 | + | 0.913681i | \(0.633227\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.83933 | + | 3.18288i | 0.229406 | + | 0.150883i | ||||
\(446\) | −9.09687 | − | 5.98310i | −0.430749 | − | 0.283308i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −42.8282 | + | 10.1505i | −2.02344 | + | 0.479565i | ||||
\(449\) | −2.45881 | − | 2.06318i | −0.116038 | − | 0.0973677i | 0.582922 | − | 0.812528i | \(-0.301909\pi\) |
−0.698960 | + | 0.715160i | \(0.746354\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.39297 | − | 7.88164i | 0.442298 | − | 0.371132i | ||||
\(452\) | −29.0698 | + | 39.0475i | −1.36733 | + | 1.83664i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 55.2890 | + | 13.1037i | 2.59484 | + | 0.614989i | ||||
\(455\) | 1.05967 | + | 1.42339i | 0.0496782 | + | 0.0667294i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.90624 | − | 0.957349i | −0.0891701 | − | 0.0447829i | 0.403655 | − | 0.914911i | \(-0.367740\pi\) |
−0.492825 | + | 0.870128i | \(0.664036\pi\) | |||||||
\(458\) | −16.1769 | + | 28.0192i | −0.755896 | + | 1.30925i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −16.4696 | − | 28.5262i | −0.767899 | − | 1.33004i | ||||
\(461\) | 1.33368 | + | 22.8984i | 0.0621157 | + | 1.06648i | 0.875020 | + | 0.484087i | \(0.160848\pi\) |
−0.812904 | + | 0.582398i | \(0.802115\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −28.7556 | + | 3.36105i | −1.33639 | + | 0.156201i | −0.754088 | − | 0.656774i | \(-0.771921\pi\) |
−0.582298 | + | 0.812975i | \(0.697846\pi\) | |||||||
\(464\) | −22.7701 | − | 76.0576i | −1.05708 | − | 3.53088i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −25.4896 | − | 59.0916i | −1.18078 | − | 2.73737i | ||||
\(467\) | 1.96329 | + | 0.714577i | 0.0908500 | + | 0.0330667i | 0.387045 | − | 0.922061i | \(-0.373496\pi\) |
−0.296195 | + | 0.955127i | \(0.595718\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 24.4885 | − | 8.91307i | 1.13077 | − | 0.411567i | ||||
\(470\) | −0.501321 | − | 0.531369i | −0.0231242 | − | 0.0245102i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 31.6671 | − | 15.9038i | 1.45759 | − | 0.732031i | ||||
\(473\) | −0.567849 | + | 9.74959i | −0.0261097 | + | 0.448287i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.687105 | − | 2.29509i | 0.0315265 | − | 0.105306i | ||||
\(476\) | −5.23133 | + | 29.6684i | −0.239778 | + | 1.35985i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 11.0030 | + | 62.4013i | 0.503267 | + | 2.85417i | ||||
\(479\) | −21.5915 | − | 2.52368i | −0.986540 | − | 0.115310i | −0.392505 | − | 0.919750i | \(-0.628392\pi\) |
−0.594034 | + | 0.804440i | \(0.702466\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.157226 | − | 0.166650i | 0.00716890 | − | 0.00759859i | ||||
\(482\) | −13.4004 | + | 31.0656i | −0.610370 | + | 1.41500i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −10.2668 | + | 6.75258i | −0.466673 | + | 0.306936i | ||||
\(485\) | −27.9091 | −1.26729 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.65843 | −0.165779 | −0.0828896 | − | 0.996559i | \(-0.526415\pi\) | ||||
−0.0828896 | + | 0.996559i | \(0.526415\pi\) | |||||||
\(488\) | −51.9190 | + | 34.1477i | −2.35026 | + | 1.54579i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.635921 | − | 1.47423i | 0.0287280 | − | 0.0665990i | ||||
\(491\) | −11.9181 | + | 12.6324i | −0.537855 | + | 0.570093i | −0.938122 | − | 0.346306i | \(-0.887436\pi\) |
0.400267 | + | 0.916399i | \(0.368917\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −14.9406 | − | 1.74631i | −0.672892 | − | 0.0786498i | ||||
\(494\) | 0.246704 | + | 1.39913i | 0.0110998 | + | 0.0629498i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 20.3913 | − | 115.645i | 0.915596 | − | 5.19260i | ||||
\(497\) | 1.30199 | − | 4.34896i | 0.0584024 | − | 0.195078i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.983696 | − | 16.8894i | 0.0440363 | − | 0.756074i | −0.901945 | − | 0.431852i | \(-0.857860\pi\) |
0.945981 | − | 0.324222i | \(-0.105103\pi\) | |||||||
\(500\) | 55.7403 | − | 27.9938i | 2.49278 | − | 1.25192i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 24.8487 | + | 26.3380i | 1.10905 | + | 1.17552i | ||||
\(503\) | 27.0776 | − | 9.85546i | 1.20733 | − | 0.439433i | 0.341555 | − | 0.939862i | \(-0.389047\pi\) |
0.865778 | + | 0.500429i | \(0.166824\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 22.2559 | + | 8.10050i | 0.990377 | + | 0.360468i | ||||
\(506\) | −13.6992 | − | 31.7584i | −0.609006 | − | 1.41183i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −18.5930 | − | 62.1049i | −0.824931 | − | 2.75546i | ||||
\(509\) | −11.8969 | + | 1.39055i | −0.527322 | + | 0.0616351i | −0.375589 | − | 0.926786i | \(-0.622560\pi\) |
−0.151733 | + | 0.988421i | \(0.548485\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.805001 | + | 13.8213i | 0.0356111 | + | 0.611420i | ||||
\(512\) | 7.77620 | + | 13.4688i | 0.343663 | + | 0.595241i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 3.73567 | − | 6.47037i | 0.164773 | − | 0.285396i | ||||
\(515\) | 22.2617 | + | 11.1803i | 0.980969 | + | 0.492661i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.329484 | − | 0.442574i | −0.0144907 | − | 0.0194644i | ||||
\(518\) | 4.06024 | + | 0.962294i | 0.178397 | + | 0.0422808i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.42271 | + | 4.59749i | −0.150096 | + | 0.201613i | ||||
\(521\) | −2.74519 | + | 2.30349i | −0.120269 | + | 0.100918i | −0.700939 | − | 0.713222i | \(-0.747235\pi\) |
0.580669 | + | 0.814139i | \(0.302791\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.6502 | − | 17.3276i | −0.902971 | − | 0.757683i | 0.0677978 | − | 0.997699i | \(-0.478403\pi\) |
−0.970769 | + | 0.240016i | \(0.922847\pi\) | |||||||
\(524\) | 74.1966 | − | 17.5849i | 3.24129 | − | 0.768201i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.31276 | − | 2.17884i | −0.144443 | − | 0.0950018i | ||||
\(527\) | −18.5887 | − | 12.2260i | −0.809735 | − | 0.532571i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −10.1859 | + | 2.41410i | −0.442865 | + | 0.104961i | ||||
\(530\) | 49.9383 | + | 41.9032i | 2.16918 | + | 1.82016i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −14.2573 | + | 11.9633i | −0.618132 | + | 0.518674i | ||||
\(533\) | 0.757113 | − | 1.01698i | 0.0327942 | − | 0.0440502i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.07281 | + | 0.965273i | 0.176083 | + | 0.0417324i | ||||
\(536\) | 50.2648 | + | 67.5173i | 2.17111 | + | 2.91630i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −21.7631 | − | 10.9298i | −0.938273 | − | 0.471219i | ||||
\(539\) | 0.606313 | − | 1.05017i | 0.0261158 | − | 0.0452338i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.33503 | + | 14.4367i | 0.358351 | + | 0.620682i | 0.987685 | − | 0.156453i | \(-0.0500058\pi\) |
−0.629335 | + | 0.777134i | \(0.716672\pi\) | |||||||
\(542\) | −0.915210 | − | 15.7135i | −0.0393116 | − | 0.674954i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −34.7906 | + | 4.06644i | −1.49164 | + | 0.174347i | ||||
\(545\) | 4.81635 | + | 16.0877i | 0.206310 | + | 0.689122i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −15.3370 | − | 35.5553i | −0.655765 | − | 1.52023i | −0.842997 | − | 0.537918i | \(-0.819211\pi\) |
0.187232 | − | 0.982316i | \(-0.440048\pi\) | |||||||
\(548\) | −78.2449 | − | 28.4788i | −3.34246 | − | 1.21655i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 15.6405 | − | 5.69267i | 0.666912 | − | 0.242736i | ||||
\(551\) | −6.37724 | − | 6.75948i | −0.271680 | − | 0.287964i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.80679 | + | 4.92516i | −0.417027 | + | 0.209439i | ||||
\(554\) | 0.768221 | − | 13.1898i | 0.0326386 | − | 0.560383i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 24.2632 | − | 81.0446i | 1.02899 | − | 3.43706i | ||||
\(557\) | −3.42298 | + | 19.4127i | −0.145036 | + | 0.822542i | 0.822302 | + | 0.569052i | \(0.192690\pi\) |
−0.967338 | + | 0.253490i | \(0.918421\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.175353 | + | 0.994479i | 0.00741666 | + | 0.0420620i | ||||
\(560\) | −55.9502 | − | 6.53965i | −2.36433 | − | 0.276350i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 24.9276 | − | 26.4217i | 1.05151 | − | 1.11453i | ||||
\(563\) | −0.290922 | + | 0.674433i | −0.0122609 | + | 0.0284240i | −0.924237 | − | 0.381820i | \(-0.875297\pi\) |
0.911976 | + | 0.410244i | \(0.134557\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −14.4089 | + | 9.47690i | −0.606188 | + | 0.398696i | ||||
\(566\) | −31.5659 | −1.32681 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 14.6630 | 0.615246 | ||||||||
\(569\) | −17.1901 | + | 11.3061i | −0.720647 | + | 0.473977i | −0.856102 | − | 0.516806i | \(-0.827121\pi\) |
0.135455 | + | 0.990784i | \(0.456750\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.929249 | − | 2.15424i | 0.0388878 | − | 0.0901521i | −0.897665 | − | 0.440678i | \(-0.854738\pi\) |
0.936553 | + | 0.350526i | \(0.113997\pi\) | |||||||
\(572\) | −4.87208 | + | 5.16411i | −0.203712 | + | 0.215922i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 22.9348 | + | 2.68069i | 0.957280 | + | 0.111890i | ||||
\(575\) | 1.04722 | + | 5.93909i | 0.0436721 | + | 0.247677i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.62981 | + | 31.9282i | −0.234372 | + | 1.32919i | 0.609561 | + | 0.792739i | \(0.291346\pi\) |
−0.843932 | + | 0.536449i | \(0.819765\pi\) | |||||||
\(578\) | 9.04742 | − | 30.2205i | 0.376323 | − | 1.25701i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.57513 | − | 61.3826i | 0.148449 | − | 2.54877i | ||||
\(581\) | 6.01069 | − | 3.01868i | 0.249366 | − | 0.125236i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 33.7880 | + | 35.8132i | 1.39936 | + | 1.48323i | ||||
\(584\) | −42.0213 | + | 15.2945i | −1.73885 | + | 0.632891i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −40.8323 | − | 14.8617i | −1.68677 | − | 0.613932i | ||||
\(587\) | 7.34958 | + | 17.0382i | 0.303350 | + | 0.703244i | 0.999898 | − | 0.0142660i | \(-0.00454116\pi\) |
−0.696549 | + | 0.717510i | \(0.745282\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.94215 | − | 13.1677i | −0.162433 | − | 0.542565i | ||||
\(590\) | 20.4500 | − | 2.39026i | 0.841913 | − | 0.0984055i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.422889 | + | 7.26072i | 0.0173806 | + | 0.298414i | ||||
\(593\) | −20.4339 | − | 35.3926i | −0.839120 | − | 1.45340i | −0.890631 | − | 0.454727i | \(-0.849737\pi\) |
0.0515108 | − | 0.998672i | \(-0.483596\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.33644 | + | 9.24299i | −0.218773 | + | 0.378926i | ||||
\(596\) | 15.6054 | + | 7.83730i | 0.639220 | + | 0.321028i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.13563 | − | 2.86865i | −0.0873323 | − | 0.117308i | ||||
\(599\) | −8.88883 | − | 2.10669i | −0.363188 | − | 0.0860771i | 0.0449704 | − | 0.998988i | \(-0.485681\pi\) |
−0.408158 | + | 0.912911i | \(0.633829\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −22.1512 | + | 29.7542i | −0.903565 | + | 1.21370i | 0.0727514 | + | 0.997350i | \(0.476822\pi\) |
−0.976316 | + | 0.216348i | \(0.930585\pi\) | |||||||
\(602\) | −14.0886 | + | 11.8218i | −0.574209 | + | 0.481819i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −33.9235 | − | 28.4652i | −1.38033 | − | 1.15823i | ||||
\(605\) | −4.23612 | + | 1.00398i | −0.172223 | + | 0.0408175i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 27.9450 | + | 18.3797i | 1.13425 | + | 0.746009i | 0.970645 | − | 0.240516i | \(-0.0773167\pi\) |
0.163607 | + | 0.986526i | \(0.447687\pi\) | |||||||
\(608\) | −18.0796 | − | 11.8912i | −0.733226 | − | 0.482251i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −35.1326 | + | 8.32658i | −1.42248 | + | 0.337133i | ||||
\(611\) | −0.0437040 | − | 0.0366720i | −0.00176807 | − | 0.00148359i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 35.2558 | − | 29.5831i | 1.42397 | − | 1.19485i | 0.474794 | − | 0.880097i | \(-0.342522\pi\) |
0.949173 | − | 0.314754i | \(-0.101922\pi\) | |||||||
\(614\) | −39.7680 | + | 53.4177i | −1.60491 | + | 2.15576i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −76.7167 | − | 18.1822i | −3.09100 | − | 0.732581i | ||||
\(617\) | −25.3857 | − | 34.0989i | −1.02199 | − | 1.37277i | −0.926059 | − | 0.377380i | \(-0.876825\pi\) |
−0.0959295 | − | 0.995388i | \(-0.530582\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 37.5931 | + | 18.8800i | 1.51099 | + | 0.758850i | 0.995200 | − | 0.0978633i | \(-0.0312008\pi\) |
0.515794 | + | 0.856713i | \(0.327497\pi\) | |||||||
\(620\) | 45.4719 | − | 78.7597i | 1.82620 | − | 3.16307i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 11.0693 | + | 19.1725i | 0.443837 | + | 0.768749i | ||||
\(623\) | 0.479021 | + | 8.22448i | 0.0191916 | + | 0.329507i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 13.4882 | − | 1.57654i | 0.539528 | − | 0.0630618i | ||||
\(626\) | −4.23683 | − | 14.1520i | −0.169338 | − | 0.565628i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.88513 | + | 18.2798i | 0.314651 | + | 0.729443i | ||||
\(629\) | 1.29489 | + | 0.471303i | 0.0516308 | + | 0.0187921i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.25540 | + | 0.456928i | −0.0499766 | + | 0.0181900i | −0.366888 | − | 0.930265i | \(-0.619577\pi\) |
0.316911 | + | 0.948455i | \(0.397354\pi\) | |||||||
\(632\) | −24.3245 | − | 25.7824i | −0.967576 | − | 1.02557i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 52.6993 | − | 26.4666i | 2.09296 | − | 1.05112i | ||||
\(635\) | 1.33542 | − | 22.9282i | 0.0529943 | − | 0.909878i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.0359611 | − | 0.120118i | 0.00142483 | − | 0.00475927i | ||||
\(638\) | 11.2112 | − | 63.5818i | 0.443855 | − | 2.51723i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.64087 | − | 26.3197i | −0.183446 | − | 1.04038i | ||||
\(641\) | −9.56344 | − | 1.11781i | −0.377733 | − | 0.0441507i | −0.0748919 | − | 0.997192i | \(-0.523861\pi\) |
−0.302841 | + | 0.953041i | \(0.597935\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 12.6003 | − | 13.3556i | 0.496909 | − | 0.526692i | −0.429573 | − | 0.903032i | \(-0.641336\pi\) |
0.926482 | + | 0.376340i | \(0.122817\pi\) | |||||||
\(644\) | 18.5564 | − | 43.0187i | 0.731226 | − | 1.69517i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.13916 | + | 4.69550i | −0.280886 | + | 0.184742i | ||||
\(647\) | 24.2705 | 0.954170 | 0.477085 | − | 0.878857i | \(-0.341693\pi\) | ||||
0.477085 | + | 0.878857i | \(0.341693\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 15.5506 | 0.610413 | ||||||||
\(650\) | 1.43789 | − | 0.945717i | 0.0563988 | − | 0.0370941i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −48.3874 | + | 112.175i | −1.89500 | + | 4.39310i | ||||
\(653\) | 29.2055 | − | 30.9560i | 1.14290 | − | 1.21140i | 0.168712 | − | 0.985665i | \(-0.446039\pi\) |
0.974188 | − | 0.225738i | \(-0.0724794\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 26.8315 | + | 3.13615i | 1.04839 | + | 0.122540i | ||||
\(656\) | 6.98888 | + | 39.6359i | 0.272870 | + | 1.54752i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.180430 | − | 1.02327i | 0.00703388 | − | 0.0398911i | ||||
\(659\) | 0.540877 | − | 1.80666i | 0.0210696 | − | 0.0703773i | −0.946808 | − | 0.321798i | \(-0.895713\pi\) |
0.967878 | + | 0.251421i | \(0.0808979\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.44763 | + | 42.0242i | −0.0952019 | + | 1.63455i | 0.525704 | + | 0.850668i | \(0.323802\pi\) |
−0.620906 | + | 0.783885i | \(0.713235\pi\) | |||||||
\(662\) | 6.82949 | − | 3.42990i | 0.265436 | − | 0.133307i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 14.9087 | + | 15.8023i | 0.578571 | + | 0.613250i | ||||
\(665\) | −6.19596 | + | 2.25514i | −0.240269 | + | 0.0874507i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 21.9822 | + | 8.00086i | 0.851154 | + | 0.309795i | ||||
\(668\) | −25.9584 | − | 60.1782i | −1.00436 | − | 2.32837i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 14.0265 | + | 46.8518i | 0.541891 | + | 1.81004i | ||||
\(671\) | −27.0855 | + | 3.16585i | −1.04563 | + | 0.122216i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.626161 | − | 10.7508i | −0.0241367 | − | 0.414412i | −0.988636 | − | 0.150327i | \(-0.951967\pi\) |
0.964500 | − | 0.264085i | \(-0.0850698\pi\) | |||||||
\(674\) | 21.5748 | + | 37.3687i | 0.831031 | + | 1.43939i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 32.9446 | − | 57.0616i | 1.26710 | − | 2.19468i | ||||
\(677\) | 9.37345 | + | 4.70752i | 0.360251 | + | 0.180925i | 0.619713 | − | 0.784828i | \(-0.287249\pi\) |
−0.259462 | + | 0.965753i | \(0.583545\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −23.7047 | − | 31.8409i | −0.909701 | − | 1.22194i | ||||
\(680\) | −33.5439 | − | 7.95004i | −1.28635 | − | 0.304870i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 57.0248 | − | 76.5976i | 2.18359 | − | 2.93307i | ||||
\(683\) | 18.5237 | − | 15.5432i | 0.708789 | − | 0.594745i | −0.215470 | − | 0.976510i | \(-0.569128\pi\) |
0.924259 | + | 0.381766i | \(0.124684\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −22.5977 | − | 18.9617i | −0.863413 | − | 0.724490i | ||||
\(686\) | 49.1725 | − | 11.6541i | 1.87742 | − | 0.444956i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −26.7825 | − | 17.6151i | −1.02107 | − | 0.671570i | ||||
\(689\) | 4.25351 | + | 2.79758i | 0.162046 | + | 0.106579i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.33265 | + | 1.97488i | −0.316989 | + | 0.0751278i | −0.386031 | − | 0.922486i | \(-0.626154\pi\) |
0.0690415 | + | 0.997614i | \(0.478006\pi\) | |||||||
\(692\) | 20.0163 | + | 16.7957i | 0.760907 | + | 0.638476i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −30.1399 | + | 25.2904i | −1.14410 | + | 0.960011i | ||||
\(695\) | 17.8975 | − | 24.0405i | 0.678891 | − | 0.911910i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.42000 | + | 1.75857i | 0.281053 | + | 0.0666107i | ||||
\(698\) | −3.94301 | − | 5.29638i | −0.149245 | − | 0.200471i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 20.1475 | + | 10.1185i | 0.761504 | + | 0.382442i | ||||
\(701\) | 1.21019 | − | 2.09612i | 0.0457084 | − | 0.0791693i | −0.842266 | − | 0.539062i | \(-0.818779\pi\) |
0.887974 | + | 0.459893i | \(0.152112\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.425656 | + | 0.737258i | 0.0160539 | + | 0.0278062i | ||||
\(704\) | −3.62747 | − | 62.2813i | −0.136716 | − | 2.34732i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 41.5303 | − | 4.85419i | 1.56301 | − | 0.182690i | ||||
\(707\) | 9.66147 | + | 32.2715i | 0.363357 | + | 1.21370i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 19.7152 | + | 45.7050i | 0.740420 | + | 1.71649i | 0.696613 | + | 0.717447i | \(0.254689\pi\) |
0.0438071 | + | 0.999040i | \(0.486051\pi\) | |||||||
\(710\) | 8.00572 | + | 2.91384i | 0.300449 | + | 0.109355i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −25.0051 | + | 9.10110i | −0.937104 | + | 0.341078i | ||||
\(713\) | 23.7441 | + | 25.1672i | 0.889222 | + | 0.942520i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.24769 | + | 1.12883i | −0.0840589 | + | 0.0422160i | ||||
\(716\) | −0.351477 | + | 6.03463i | −0.0131353 | + | 0.225525i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.180450 | + | 0.602743i | −0.00673432 | + | 0.0224942i | ||||
\(719\) | 9.09244 | − | 51.5658i | 0.339091 | − | 1.92308i | −0.0432647 | − | 0.999064i | \(-0.513776\pi\) |
0.382355 | − | 0.924015i | \(-0.375113\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 6.15275 | + | 34.8940i | 0.229140 | + | 1.29952i | ||||
\(722\) | 45.1295 | + | 5.27488i | 1.67954 | + | 0.196311i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −40.2819 | + | 42.6963i | −1.49706 | + | 1.58680i | ||||
\(725\) | −4.45880 | + | 10.3367i | −0.165596 | + | 0.383894i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 29.4097 | − | 19.3431i | 1.09075 | − | 0.717396i | 0.129085 | − | 0.991634i | \(-0.458796\pi\) |
0.961662 | + | 0.274238i | \(0.0884256\pi\) | |||||||
\(728\) | −8.15228 | −0.302143 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −25.9821 | −0.961642 | ||||||||
\(731\) | −5.07439 | + | 3.33748i | −0.187683 | + | 0.123441i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9.42379 | − | 21.8468i | 0.348076 | − | 0.806930i | −0.650787 | − | 0.759260i | \(-0.725561\pi\) |
0.998863 | − | 0.0476702i | \(-0.0151797\pi\) | |||||||
\(734\) | 17.6480 | − | 18.7057i | 0.651398 | − | 0.690442i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 54.1044 | + | 6.32390i | 1.99431 | + | 0.233102i | ||||
\(737\) | 6.41419 | + | 36.3767i | 0.236270 | + | 1.33995i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.56827 | + | 42.9218i | −0.278403 | + | 1.57890i | 0.449536 | + | 0.893262i | \(0.351589\pi\) |
−0.727939 | + | 0.685642i | \(0.759522\pi\) | |||||||
\(740\) | −1.61547 | + | 5.39603i | −0.0593857 | + | 0.198362i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −5.39125 | + | 92.5642i | −0.197919 | + | 3.39814i | ||||
\(743\) | −9.08770 | + | 4.56402i | −0.333396 | + | 0.167438i | −0.607619 | − | 0.794228i | \(-0.707875\pi\) |
0.274224 | + | 0.961666i | \(0.411579\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.24553 | + | 4.50000i | 0.155544 | + | 0.164867i | ||||
\(746\) | 0.151015 | − | 0.0549648i | 0.00552904 | − | 0.00201240i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −40.1258 | − | 14.6046i | −1.46714 | − | 0.533997i | ||||
\(749\) | 2.35799 | + | 5.46644i | 0.0861591 | + | 0.199739i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.79574 | + | 16.0189i | 0.174999 | + | 0.584537i | 0.999817 | + | 0.0191386i | \(0.00609236\pi\) |
−0.824818 | + | 0.565398i | \(0.808722\pi\) | |||||||
\(752\) | 1.79882 | − | 0.210252i | 0.0655962 | − | 0.00766709i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.388163 | − | 6.66450i | −0.0141361 | − | 0.242707i | ||||
\(755\) | −7.84433 | − | 13.5868i | −0.285485 | − | 0.494474i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 20.3289 | − | 35.2107i | 0.738867 | − | 1.27975i | −0.214139 | − | 0.976803i | \(-0.568695\pi\) |
0.953006 | − | 0.302951i | \(-0.0979720\pi\) | |||||||
\(758\) | 5.89718 | + | 2.96167i | 0.214195 | + | 0.107573i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −12.7178 | − | 17.0829i | −0.461322 | − | 0.619663i | ||||
\(761\) | −13.2491 | − | 3.14009i | −0.480278 | − | 0.113828i | −0.0166566 | − | 0.999861i | \(-0.505302\pi\) |
−0.463622 | + | 0.886033i | \(0.653450\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −14.2634 | + | 19.1590i | −0.516369 | + | 0.693603i | ||||
\(764\) | 60.3933 | − | 50.6760i | 2.18495 | − | 1.83339i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 56.4147 | + | 47.3375i | 2.03835 | + | 1.71037i | ||||
\(767\) | 1.56459 | − | 0.370815i | 0.0564941 | − | 0.0133894i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −37.5321 | − | 24.6852i | −1.35344 | − | 0.890172i | −0.354449 | − | 0.935075i | \(-0.615332\pi\) |
−0.998991 | + | 0.0449035i | \(0.985702\pi\) | |||||||
\(770\) | −38.2726 | − | 25.1723i | −1.37925 | − | 0.907146i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −87.0044 | + | 20.6204i | −3.13136 | + | 0.742145i | ||||
\(773\) | −17.8408 | − | 14.9702i | −0.641688 | − | 0.538440i | 0.262848 | − | 0.964837i | \(-0.415338\pi\) |
−0.904536 | + | 0.426397i | \(0.859783\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −12.7551 | + | 10.7028i | −0.458175 | + | 0.384454i | ||||
\(776\) | 76.5653 | − | 102.845i | 2.74853 | − | 3.69192i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −28.0693 | − | 6.65255i | −1.00633 | − | 0.238506i | ||||
\(779\) | 2.81321 | + | 3.77879i | 0.100794 | + | 0.135389i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5.75016 | + | 2.88784i | 0.205757 | + | 0.103335i | ||||
\(782\) | 10.7549 | − | 18.6280i | 0.384594 | − | 0.666137i | ||||
\(783\) | 0 | 0 |