Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(103,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 0, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.ba (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 283.28 | ||
Character | \(\chi\) | \(=\) | 588.283 |
Dual form | 588.2.ba.b.187.28 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{19}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.39803 | − | 0.213330i | 0.988557 | − | 0.150847i | ||||
\(3\) | −0.988831 | + | 0.149042i | −0.570902 | + | 0.0860496i | ||||
\(4\) | 1.90898 | − | 0.596484i | 0.954490 | − | 0.298242i | ||||
\(5\) | 3.55694 | + | 1.39600i | 1.59071 | + | 0.624309i | 0.985182 | − | 0.171512i | \(-0.0548651\pi\) |
0.605532 | + | 0.795821i | \(0.292960\pi\) | |||||||
\(6\) | −1.35062 | + | 0.419313i | −0.551389 | + | 0.171184i | ||||
\(7\) | 0.339306 | − | 2.62390i | 0.128246 | − | 0.991742i | ||||
\(8\) | 2.54157 | − | 1.24115i | 0.898579 | − | 0.438811i | ||||
\(9\) | 0.955573 | − | 0.294755i | 0.318524 | − | 0.0982517i | ||||
\(10\) | 5.27053 | + | 1.19285i | 1.66669 | + | 0.377211i | ||||
\(11\) | −1.15615 | + | 3.74814i | −0.348592 | + | 1.13011i | 0.596310 | + | 0.802754i | \(0.296633\pi\) |
−0.944902 | + | 0.327354i | \(0.893843\pi\) | |||||||
\(12\) | −1.79876 | + | 0.874341i | −0.519257 | + | 0.252400i | ||||
\(13\) | −1.58868 | + | 0.362606i | −0.440621 | + | 0.100569i | −0.437075 | − | 0.899425i | \(-0.643986\pi\) |
−0.00354549 | + | 0.999994i | \(0.501129\pi\) | |||||||
\(14\) | −0.0853969 | − | 3.74068i | −0.0228233 | − | 0.999740i | ||||
\(15\) | −3.72528 | − | 0.850271i | −0.961863 | − | 0.219539i | ||||
\(16\) | 3.28841 | − | 2.27735i | 0.822103 | − | 0.569338i | ||||
\(17\) | −1.04348 | − | 1.53051i | −0.253081 | − | 0.371202i | 0.678582 | − | 0.734524i | \(-0.262595\pi\) |
−0.931663 | + | 0.363322i | \(0.881642\pi\) | |||||||
\(18\) | 1.27304 | − | 0.615929i | 0.300058 | − | 0.145176i | ||||
\(19\) | −3.08266 | − | 5.33932i | −0.707211 | − | 1.22493i | −0.965888 | − | 0.258961i | \(-0.916620\pi\) |
0.258677 | − | 0.965964i | \(-0.416713\pi\) | |||||||
\(20\) | 7.62283 | + | 0.543272i | 1.70452 | + | 0.121479i | ||||
\(21\) | 0.0555561 | + | 2.64517i | 0.0121233 | + | 0.577223i | ||||
\(22\) | −0.816741 | + | 5.48666i | −0.174130 | + | 1.16976i | ||||
\(23\) | −3.78511 | + | 5.55173i | −0.789250 | + | 1.15762i | 0.194995 | + | 0.980804i | \(0.437531\pi\) |
−0.984245 | + | 0.176812i | \(0.943421\pi\) | |||||||
\(24\) | −2.32820 | + | 1.60608i | −0.475241 | + | 0.327841i | ||||
\(25\) | 7.03779 | + | 6.53011i | 1.40756 | + | 1.30602i | ||||
\(26\) | −2.14367 | + | 0.845848i | −0.420408 | + | 0.165884i | ||||
\(27\) | −0.900969 | + | 0.433884i | −0.173392 | + | 0.0835010i | ||||
\(28\) | −0.917388 | − | 5.21137i | −0.173370 | − | 0.984857i | ||||
\(29\) | 4.41883 | + | 2.12800i | 0.820556 | + | 0.395159i | 0.796565 | − | 0.604553i | \(-0.206648\pi\) |
0.0239910 | + | 0.999712i | \(0.492363\pi\) | |||||||
\(30\) | −5.38944 | − | 0.393991i | −0.983973 | − | 0.0719325i | ||||
\(31\) | 0.0510275 | − | 0.0883823i | 0.00916482 | − | 0.0158739i | −0.861407 | − | 0.507916i | \(-0.830416\pi\) |
0.870571 | + | 0.492042i | \(0.163749\pi\) | |||||||
\(32\) | 4.11148 | − | 3.88533i | 0.726813 | − | 0.686835i | ||||
\(33\) | 0.584604 | − | 3.87860i | 0.101767 | − | 0.675177i | ||||
\(34\) | −1.78532 | − | 1.91709i | −0.306180 | − | 0.328778i | ||||
\(35\) | 4.86986 | − | 8.85941i | 0.823156 | − | 1.49751i | ||||
\(36\) | 1.64835 | − | 1.13267i | 0.274726 | − | 0.188778i | ||||
\(37\) | −0.846858 | − | 11.3005i | −0.139223 | − | 1.85780i | −0.432329 | − | 0.901716i | \(-0.642308\pi\) |
0.293106 | − | 0.956080i | \(-0.405311\pi\) | |||||||
\(38\) | −5.44869 | − | 6.80692i | −0.883895 | − | 1.10423i | ||||
\(39\) | 1.51689 | − | 0.595337i | 0.242897 | − | 0.0953302i | ||||
\(40\) | 10.7728 | − | 0.866667i | 1.70334 | − | 0.137032i | ||||
\(41\) | −9.06047 | + | 7.22548i | −1.41501 | + | 1.12843i | −0.442173 | + | 0.896930i | \(0.645792\pi\) |
−0.972835 | + | 0.231502i | \(0.925636\pi\) | |||||||
\(42\) | 0.641963 | + | 3.68617i | 0.0990570 | + | 0.568789i | ||||
\(43\) | 9.59021 | + | 7.64793i | 1.46249 | + | 1.16630i | 0.951873 | + | 0.306492i | \(0.0991554\pi\) |
0.510620 | + | 0.859807i | \(0.329416\pi\) | |||||||
\(44\) | 0.0286413 | + | 7.84476i | 0.00431783 | + | 1.18264i | ||||
\(45\) | 3.81040 | + | 0.285550i | 0.568021 | + | 0.0425673i | ||||
\(46\) | −4.10735 | + | 8.56897i | −0.605595 | + | 1.26343i | ||||
\(47\) | 5.13225 | − | 4.76203i | 0.748616 | − | 0.694614i | −0.210511 | − | 0.977592i | \(-0.567513\pi\) |
0.959126 | + | 0.282978i | \(0.0913222\pi\) | |||||||
\(48\) | −2.91226 | + | 2.74203i | −0.420349 | + | 0.395778i | ||||
\(49\) | −6.76974 | − | 1.78061i | −0.967106 | − | 0.254373i | ||||
\(50\) | 11.2321 | + | 7.62793i | 1.58846 | + | 1.07875i | ||||
\(51\) | 1.25994 | + | 1.35789i | 0.176426 | + | 0.190142i | ||||
\(52\) | −2.81647 | + | 1.63983i | −0.390574 | + | 0.227404i | ||||
\(53\) | 0.106660 | − | 1.42328i | 0.0146509 | − | 0.195503i | −0.985076 | − | 0.172122i | \(-0.944938\pi\) |
0.999727 | − | 0.0233812i | \(-0.00744314\pi\) | |||||||
\(54\) | −1.16702 | + | 0.798787i | −0.158812 | + | 0.108701i | ||||
\(55\) | −9.34476 | + | 11.7180i | −1.26005 | + | 1.58005i | ||||
\(56\) | −2.39428 | − | 7.08995i | −0.319949 | − | 0.947435i | ||||
\(57\) | 3.84401 | + | 4.82024i | 0.509152 | + | 0.638457i | ||||
\(58\) | 6.63162 | + | 2.03233i | 0.870775 | + | 0.266859i | ||||
\(59\) | 0.218318 | + | 0.556265i | 0.0284226 | + | 0.0724195i | 0.944381 | − | 0.328855i | \(-0.106663\pi\) |
−0.915958 | + | 0.401274i | \(0.868567\pi\) | |||||||
\(60\) | −7.61866 | + | 0.598919i | −0.983565 | + | 0.0773201i | ||||
\(61\) | −7.99648 | + | 0.599253i | −1.02384 | + | 0.0767265i | −0.576053 | − | 0.817412i | \(-0.695408\pi\) |
−0.447790 | + | 0.894139i | \(0.647789\pi\) | |||||||
\(62\) | 0.0524835 | − | 0.134447i | 0.00666541 | − | 0.0170748i | ||||
\(63\) | −0.449177 | − | 2.60734i | −0.0565910 | − | 0.328494i | ||||
\(64\) | 4.91911 | − | 6.30891i | 0.614889 | − | 0.788614i | ||||
\(65\) | −6.15705 | − | 0.928026i | −0.763688 | − | 0.115107i | ||||
\(66\) | −0.0101262 | − | 5.54711i | −0.00124645 | − | 0.682802i | ||||
\(67\) | −2.51542 | − | 1.45228i | −0.307308 | − | 0.177424i | 0.338413 | − | 0.940998i | \(-0.390110\pi\) |
−0.645721 | + | 0.763573i | \(0.723443\pi\) | |||||||
\(68\) | −2.90491 | − | 2.29929i | −0.352272 | − | 0.278829i | ||||
\(69\) | 2.91539 | − | 6.05387i | 0.350972 | − | 0.728800i | ||||
\(70\) | 4.91823 | − | 13.4246i | 0.587841 | − | 1.60455i | ||||
\(71\) | −3.02361 | − | 6.27858i | −0.358836 | − | 0.745130i | 0.640911 | − | 0.767615i | \(-0.278557\pi\) |
−0.999747 | + | 0.0224845i | \(0.992842\pi\) | |||||||
\(72\) | 2.06282 | − | 1.93514i | 0.243105 | − | 0.228059i | ||||
\(73\) | −9.56449 | + | 10.3081i | −1.11944 | + | 1.20647i | −0.143217 | + | 0.989691i | \(0.545745\pi\) |
−0.976221 | + | 0.216776i | \(0.930446\pi\) | |||||||
\(74\) | −3.59468 | − | 15.6178i | −0.417873 | − | 1.81554i | ||||
\(75\) | −7.93244 | − | 5.40825i | −0.915960 | − | 0.624491i | ||||
\(76\) | −9.06956 | − | 8.35391i | −1.04035 | − | 0.958259i | ||||
\(77\) | 9.44248 | + | 4.30539i | 1.07607 | + | 0.490645i | ||||
\(78\) | 1.99366 | − | 1.15590i | 0.225738 | − | 0.130880i | ||||
\(79\) | −4.81768 | + | 2.78149i | −0.542032 | + | 0.312942i | −0.745902 | − | 0.666056i | \(-0.767981\pi\) |
0.203870 | + | 0.978998i | \(0.434648\pi\) | |||||||
\(80\) | 14.8759 | − | 3.50980i | 1.66317 | − | 0.392407i | ||||
\(81\) | 0.826239 | − | 0.563320i | 0.0918043 | − | 0.0625911i | ||||
\(82\) | −11.1254 | + | 12.0343i | −1.22860 | + | 1.32897i | ||||
\(83\) | −0.767481 | + | 3.36256i | −0.0842420 | + | 0.369088i | −0.999423 | − | 0.0339538i | \(-0.989190\pi\) |
0.915181 | + | 0.403042i | \(0.132047\pi\) | |||||||
\(84\) | 1.68386 | + | 5.01644i | 0.183724 | + | 0.547338i | ||||
\(85\) | −1.57502 | − | 6.90062i | −0.170835 | − | 0.748477i | ||||
\(86\) | 15.0389 | + | 8.64617i | 1.62169 | + | 0.932340i | ||||
\(87\) | −4.68663 | − | 1.44564i | −0.502460 | − | 0.154988i | ||||
\(88\) | 1.71356 | + | 10.9611i | 0.182667 | + | 1.16846i | ||||
\(89\) | −1.87081 | − | 6.06502i | −0.198306 | − | 0.642891i | −0.999037 | − | 0.0438680i | \(-0.986032\pi\) |
0.800732 | − | 0.599023i | \(-0.204444\pi\) | |||||||
\(90\) | 5.38797 | − | 0.413665i | 0.567942 | − | 0.0436041i | ||||
\(91\) | 0.412394 | + | 4.29158i | 0.0432306 | + | 0.449880i | ||||
\(92\) | −3.91418 | + | 12.8559i | −0.408081 | + | 1.34032i | ||||
\(93\) | −0.0372849 | + | 0.0950004i | −0.00386627 | + | 0.00985108i | ||||
\(94\) | 6.15916 | − | 7.75233i | 0.635269 | − | 0.799592i | ||||
\(95\) | −3.51117 | − | 23.2951i | −0.360238 | − | 2.39002i | ||||
\(96\) | −3.48648 | + | 4.45471i | −0.355837 | + | 0.454657i | ||||
\(97\) | − | 1.63133i | − | 0.165636i | −0.996565 | − | 0.0828182i | \(-0.973608\pi\) | ||
0.996565 | − | 0.0828182i | \(-0.0263921\pi\) | |||||||
\(98\) | −9.84417 | − | 1.04516i | −0.994411 | − | 0.105577i | ||||
\(99\) | 3.92241i | 0.394217i | ||||||||
\(100\) | 17.3301 | + | 8.26793i | 1.73301 | + | 0.826793i | ||||
\(101\) | −0.271646 | − | 1.80225i | −0.0270297 | − | 0.179331i | 0.971242 | − | 0.238094i | \(-0.0765225\pi\) |
−0.998272 | + | 0.0587629i | \(0.981284\pi\) | |||||||
\(102\) | 2.05111 | + | 1.62959i | 0.203090 | + | 0.161353i | ||||
\(103\) | 0.217030 | − | 0.552984i | 0.0213846 | − | 0.0544871i | −0.919783 | − | 0.392428i | \(-0.871635\pi\) |
0.941167 | + | 0.337941i | \(0.109730\pi\) | |||||||
\(104\) | −3.58769 | + | 2.89337i | −0.351802 | + | 0.283719i | ||||
\(105\) | −3.49504 | + | 9.48627i | −0.341081 | + | 0.925765i | ||||
\(106\) | −0.154514 | − | 2.01255i | −0.0150078 | − | 0.195476i | ||||
\(107\) | −1.34830 | − | 4.37109i | −0.130345 | − | 0.422569i | 0.866749 | − | 0.498745i | \(-0.166205\pi\) |
−0.997094 | + | 0.0761751i | \(0.975729\pi\) | |||||||
\(108\) | −1.46113 | + | 1.36569i | −0.140597 | + | 0.131413i | ||||
\(109\) | −9.79038 | − | 3.01993i | −0.937749 | − | 0.289257i | −0.212041 | − | 0.977261i | \(-0.568011\pi\) |
−0.725707 | + | 0.688004i | \(0.758487\pi\) | |||||||
\(110\) | −10.5645 | + | 18.3756i | −1.00728 | + | 1.75204i | ||||
\(111\) | 2.52166 | + | 11.0481i | 0.239345 | + | 1.04864i | ||||
\(112\) | −4.85978 | − | 9.40120i | −0.459206 | − | 0.888330i | ||||
\(113\) | −1.11487 | + | 4.88454i | −0.104878 | + | 0.459499i | 0.895031 | + | 0.446004i | \(0.147153\pi\) |
−0.999909 | + | 0.0134958i | \(0.995704\pi\) | |||||||
\(114\) | 6.40235 | + | 5.91880i | 0.599635 | + | 0.554347i | ||||
\(115\) | −21.2136 | + | 14.4632i | −1.97818 | + | 1.34870i | ||||
\(116\) | 9.70477 | + | 1.42654i | 0.901065 | + | 0.132451i | ||||
\(117\) | −1.41122 | + | 0.814769i | −0.130467 | + | 0.0753254i | ||||
\(118\) | 0.423883 | + | 0.731101i | 0.0390216 | + | 0.0673033i | ||||
\(119\) | −4.36996 | + | 2.21868i | −0.400593 | + | 0.203386i | ||||
\(120\) | −10.5234 | + | 2.46260i | −0.960646 | + | 0.224803i | ||||
\(121\) | −3.62328 | − | 2.47031i | −0.329389 | − | 0.224574i | ||||
\(122\) | −11.0515 | + | 2.54366i | −1.00055 | + | 0.230292i | ||||
\(123\) | 7.88237 | − | 8.49518i | 0.710729 | − | 0.765984i | ||||
\(124\) | 0.0446920 | − | 0.199157i | 0.00401346 | − | 0.0178848i | ||||
\(125\) | 7.62747 | + | 15.8386i | 0.682222 | + | 1.41665i | ||||
\(126\) | −1.18419 | − | 3.54932i | −0.105496 | − | 0.316199i | ||||
\(127\) | −4.48504 | + | 9.31327i | −0.397983 | + | 0.826419i | 0.601635 | + | 0.798771i | \(0.294516\pi\) |
−0.999618 | + | 0.0276483i | \(0.991198\pi\) | |||||||
\(128\) | 5.53119 | − | 9.86944i | 0.488893 | − | 0.872344i | ||||
\(129\) | −10.6230 | − | 6.13317i | −0.935299 | − | 0.539995i | ||||
\(130\) | −8.80572 | + | 0.0160748i | −0.772313 | + | 0.00140985i | ||||
\(131\) | 5.21912 | + | 0.786655i | 0.455996 | + | 0.0687304i | 0.373024 | − | 0.927822i | \(-0.378321\pi\) |
0.0829718 | + | 0.996552i | \(0.473559\pi\) | |||||||
\(132\) | −1.19752 | − | 7.75287i | −0.104231 | − | 0.674801i | ||||
\(133\) | −15.0558 | + | 6.27694i | −1.30551 | + | 0.544280i | ||||
\(134\) | −3.82646 | − | 1.49372i | −0.330555 | − | 0.129038i | ||||
\(135\) | −3.81040 | + | 0.285550i | −0.327947 | + | 0.0245762i | ||||
\(136\) | −4.55166 | − | 2.59477i | −0.390301 | − | 0.222499i | ||||
\(137\) | 3.84794 | + | 9.80439i | 0.328752 | + | 0.837646i | 0.995708 | + | 0.0925489i | \(0.0295015\pi\) |
−0.666956 | + | 0.745097i | \(0.732403\pi\) | |||||||
\(138\) | 2.78433 | − | 9.08543i | 0.237018 | − | 0.773403i | ||||
\(139\) | −5.19397 | − | 6.51303i | −0.440547 | − | 0.552428i | 0.511140 | − | 0.859497i | \(-0.329223\pi\) |
−0.951687 | + | 0.307069i | \(0.900652\pi\) | |||||||
\(140\) | 4.01197 | − | 19.8172i | 0.339073 | − | 1.67486i | ||||
\(141\) | −4.36518 | + | 5.47377i | −0.367615 | + | 0.460974i | ||||
\(142\) | −5.56650 | − | 8.13262i | −0.467131 | − | 0.682475i | ||||
\(143\) | 0.477653 | − | 6.37383i | 0.0399433 | − | 0.533007i | ||||
\(144\) | 2.47106 | − | 3.14545i | 0.205921 | − | 0.262121i | ||||
\(145\) | 12.7468 | + | 13.7378i | 1.05857 | + | 1.14087i | ||||
\(146\) | −11.1724 | + | 16.4514i | −0.924637 | + | 1.36153i | ||||
\(147\) | 6.95952 | + | 0.751748i | 0.574011 | + | 0.0620031i | ||||
\(148\) | −8.35722 | − | 21.0674i | −0.686959 | − | 1.73173i | ||||
\(149\) | −5.26375 | + | 4.88404i | −0.431223 | + | 0.400116i | −0.865697 | − | 0.500568i | \(-0.833125\pi\) |
0.434474 | + | 0.900684i | \(0.356934\pi\) | |||||||
\(150\) | −12.2435 | − | 5.86867i | −0.999681 | − | 0.479175i | ||||
\(151\) | 11.2717 | + | 0.844700i | 0.917281 | + | 0.0687407i | 0.524998 | − | 0.851104i | \(-0.324066\pi\) |
0.392284 | + | 0.919844i | \(0.371685\pi\) | |||||||
\(152\) | −14.4617 | − | 9.74421i | −1.17300 | − | 0.790360i | ||||
\(153\) | −1.44825 | − | 1.15494i | −0.117084 | − | 0.0933712i | ||||
\(154\) | 14.1194 | + | 4.00471i | 1.13777 | + | 0.322709i | ||||
\(155\) | 0.304884 | − | 0.243137i | 0.0244888 | − | 0.0195292i | ||||
\(156\) | 2.54061 | − | 2.04129i | 0.203412 | − | 0.163434i | ||||
\(157\) | 19.3562 | − | 7.59676i | 1.54479 | − | 0.606287i | 0.568490 | − | 0.822690i | \(-0.307528\pi\) |
0.976304 | + | 0.216403i | \(0.0694324\pi\) | |||||||
\(158\) | −6.14189 | + | 4.91636i | −0.488623 | + | 0.391125i | ||||
\(159\) | 0.106660 | + | 1.42328i | 0.00845871 | + | 0.112874i | ||||
\(160\) | 20.0482 | − | 8.08028i | 1.58495 | − | 0.638802i | ||||
\(161\) | 13.2829 | + | 11.8155i | 1.04684 | + | 0.931192i | ||||
\(162\) | 1.03493 | − | 0.963800i | 0.0813121 | − | 0.0757233i | ||||
\(163\) | −0.565435 | + | 3.75142i | −0.0442883 | + | 0.293834i | −1.00000 | 0.000471130i | \(-0.999850\pi\) | |
0.955712 | + | 0.294305i | \(0.0950881\pi\) | |||||||
\(164\) | −12.9864 | + | 19.1977i | −1.01407 | + | 1.49909i | ||||
\(165\) | 7.49392 | − | 12.9798i | 0.583401 | − | 1.01048i | ||||
\(166\) | −0.355629 | + | 4.86468i | −0.0276021 | + | 0.377573i | ||||
\(167\) | −5.13389 | − | 2.47235i | −0.397273 | − | 0.191316i | 0.224571 | − | 0.974458i | \(-0.427902\pi\) |
−0.621844 | + | 0.783141i | \(0.713616\pi\) | |||||||
\(168\) | 3.42424 | + | 6.65392i | 0.264186 | + | 0.513361i | ||||
\(169\) | −9.32017 | + | 4.48836i | −0.716936 | + | 0.345258i | ||||
\(170\) | −3.67404 | − | 9.31128i | −0.281786 | − | 0.714143i | ||||
\(171\) | −4.51950 | − | 4.19348i | −0.345615 | − | 0.320684i | ||||
\(172\) | 22.8694 | + | 8.87935i | 1.74377 | + | 0.677044i | ||||
\(173\) | 7.49417 | − | 10.9919i | 0.569771 | − | 0.835701i | −0.427906 | − | 0.903823i | \(-0.640748\pi\) |
0.997677 | + | 0.0681225i | \(0.0217009\pi\) | |||||||
\(174\) | −6.86046 | − | 1.02124i | −0.520090 | − | 0.0774202i | ||||
\(175\) | 19.5224 | − | 16.2508i | 1.47575 | − | 1.22844i | ||||
\(176\) | 4.73395 | + | 14.9584i | 0.356835 | + | 1.12753i | ||||
\(177\) | −0.298786 | − | 0.517513i | −0.0224582 | − | 0.0388987i | ||||
\(178\) | −3.90930 | − | 8.07999i | −0.293015 | − | 0.605621i | ||||
\(179\) | −1.04613 | − | 1.53439i | −0.0781914 | − | 0.114686i | 0.785151 | − | 0.619305i | \(-0.212585\pi\) |
−0.863342 | + | 0.504619i | \(0.831633\pi\) | |||||||
\(180\) | 7.44430 | − | 1.72773i | 0.554865 | − | 0.128778i | ||||
\(181\) | −11.8515 | − | 2.70502i | −0.880913 | − | 0.201063i | −0.241940 | − | 0.970291i | \(-0.577784\pi\) |
−0.638974 | + | 0.769229i | \(0.720641\pi\) | |||||||
\(182\) | 1.49206 | + | 5.91179i | 0.110599 | + | 0.438211i | ||||
\(183\) | 7.81785 | − | 1.78437i | 0.577912 | − | 0.131905i | ||||
\(184\) | −2.72959 | + | 18.8080i | −0.201228 | + | 1.38654i | ||||
\(185\) | 12.7633 | − | 41.3776i | 0.938376 | − | 3.04214i | ||||
\(186\) | −0.0318590 | + | 0.140767i | −0.00233602 | + | 0.0103216i | ||||
\(187\) | 6.94297 | − | 2.14162i | 0.507721 | − | 0.156611i | ||||
\(188\) | 6.95689 | − | 12.1519i | 0.507383 | − | 0.886271i | ||||
\(189\) | 0.832765 | + | 2.51128i | 0.0605747 | + | 0.182668i | ||||
\(190\) | −9.87826 | − | 31.8182i | −0.716644 | − | 2.30833i | ||||
\(191\) | 19.3897 | + | 7.60989i | 1.40299 | + | 0.550632i | 0.941650 | − | 0.336593i | \(-0.109275\pi\) |
0.461337 | + | 0.887225i | \(0.347370\pi\) | |||||||
\(192\) | −3.92388 | + | 6.97160i | −0.283181 | + | 0.503132i | ||||
\(193\) | 26.0086 | − | 3.92016i | 1.87214 | − | 0.282179i | 0.888034 | − | 0.459778i | \(-0.152071\pi\) |
0.984103 | + | 0.177599i | \(0.0568330\pi\) | |||||||
\(194\) | −0.348012 | − | 2.28065i | −0.0249858 | − | 0.163741i | ||||
\(195\) | 6.22659 | 0.445896 | ||||||||
\(196\) | −13.9854 | + | 0.638886i | −0.998958 | + | 0.0456347i | ||||
\(197\) | 1.71045 | 0.121864 | 0.0609322 | − | 0.998142i | \(-0.480593\pi\) | ||||
0.0609322 | + | 0.998142i | \(0.480593\pi\) | |||||||
\(198\) | 0.836767 | + | 5.48364i | 0.0594664 | + | 0.389706i | ||||
\(199\) | −12.8381 | + | 1.93503i | −0.910066 | + | 0.137170i | −0.587357 | − | 0.809328i | \(-0.699832\pi\) |
−0.322709 | + | 0.946498i | \(0.604593\pi\) | |||||||
\(200\) | 25.9918 | + | 7.86179i | 1.83790 | + | 0.555912i | ||||
\(201\) | 2.70378 | + | 1.06116i | 0.190710 | + | 0.0748481i | ||||
\(202\) | −0.764243 | − | 2.46165i | −0.0537720 | − | 0.173201i | ||||
\(203\) | 7.08299 | − | 10.8725i | 0.497128 | − | 0.763102i | ||||
\(204\) | 3.21515 | + | 1.84065i | 0.225106 | + | 0.128871i | ||||
\(205\) | −42.3144 | + | 13.0523i | −2.95536 | + | 0.911609i | ||||
\(206\) | 0.185447 | − | 0.819388i | 0.0129207 | − | 0.0570895i | ||||
\(207\) | −1.98054 | + | 6.42077i | −0.137657 | + | 0.446274i | ||||
\(208\) | −4.39846 | + | 4.81039i | −0.304978 | + | 0.333540i | ||||
\(209\) | 23.5766 | − | 5.38120i | 1.63083 | − | 0.372225i | ||||
\(210\) | −2.86247 | + | 14.0077i | −0.197529 | + | 0.966623i | ||||
\(211\) | 2.21653 | + | 0.505909i | 0.152592 | + | 0.0348282i | 0.298135 | − | 0.954524i | \(-0.403636\pi\) |
−0.145542 | + | 0.989352i | \(0.546493\pi\) | |||||||
\(212\) | −0.645352 | − | 2.78064i | −0.0443230 | − | 0.190975i | ||||
\(213\) | 3.92561 | + | 5.75781i | 0.268978 | + | 0.394519i | ||||
\(214\) | −2.81746 | − | 5.82329i | −0.192597 | − | 0.398072i | ||||
\(215\) | 23.4353 | + | 40.5912i | 1.59828 | + | 2.76830i | ||||
\(216\) | −1.75136 | + | 2.22098i | −0.119165 | + | 0.151118i | ||||
\(217\) | −0.214593 | − | 0.163880i | −0.0145675 | − | 0.0111249i | ||||
\(218\) | −14.3315 | − | 2.13338i | −0.970652 | − | 0.144491i | ||||
\(219\) | 7.92132 | − | 11.6184i | 0.535273 | − | 0.785102i | ||||
\(220\) | −10.8494 | + | 27.9434i | −0.731466 | + | 1.88394i | ||||
\(221\) | 2.21273 | + | 2.05311i | 0.148844 | + | 0.138107i | ||||
\(222\) | 5.88224 | + | 14.9076i | 0.394790 | + | 1.00053i | ||||
\(223\) | 5.50869 | − | 2.65284i | 0.368889 | − | 0.177648i | −0.240250 | − | 0.970711i | \(-0.577229\pi\) |
0.609139 | + | 0.793063i | \(0.291515\pi\) | |||||||
\(224\) | −8.79967 | − | 12.1064i | −0.587953 | − | 0.808895i | ||||
\(225\) | 8.64990 | + | 4.16557i | 0.576660 | + | 0.277705i | ||||
\(226\) | −0.516596 | + | 7.06658i | −0.0343635 | + | 0.470062i | ||||
\(227\) | 4.82908 | − | 8.36421i | 0.320517 | − | 0.555152i | −0.660078 | − | 0.751197i | \(-0.729477\pi\) |
0.980595 | + | 0.196045i | \(0.0628100\pi\) | |||||||
\(228\) | 10.2133 | + | 6.90886i | 0.676395 | + | 0.457550i | ||||
\(229\) | −0.404978 | + | 2.68685i | −0.0267617 | + | 0.177552i | −0.998218 | − | 0.0596643i | \(-0.980997\pi\) |
0.971457 | + | 0.237216i | \(0.0762351\pi\) | |||||||
\(230\) | −26.5719 | + | 24.7455i | −1.75210 | + | 1.63167i | ||||
\(231\) | −9.97870 | − | 2.84998i | −0.656550 | − | 0.187515i | ||||
\(232\) | 13.8719 | − | 0.0759700i | 0.910734 | − | 0.00498767i | ||||
\(233\) | −0.742278 | − | 9.90501i | −0.0486282 | − | 0.648899i | −0.967261 | − | 0.253785i | \(-0.918324\pi\) |
0.918632 | − | 0.395113i | \(-0.129295\pi\) | |||||||
\(234\) | −1.79912 | + | 1.44013i | −0.117612 | + | 0.0941441i | ||||
\(235\) | 24.9029 | − | 9.77368i | 1.62449 | − | 0.637564i | ||||
\(236\) | 0.748567 | + | 0.931675i | 0.0487276 | + | 0.0606469i | ||||
\(237\) | 4.34931 | − | 3.46846i | 0.282518 | − | 0.225301i | ||||
\(238\) | −5.63602 | + | 4.03403i | −0.365329 | + | 0.261487i | ||||
\(239\) | 7.03314 | + | 5.60874i | 0.454936 | + | 0.362799i | 0.823986 | − | 0.566610i | \(-0.191745\pi\) |
−0.369050 | + | 0.929410i | \(0.620317\pi\) | |||||||
\(240\) | −14.1866 | + | 5.68773i | −0.915743 | + | 0.367142i | ||||
\(241\) | −17.7244 | − | 1.32826i | −1.14173 | − | 0.0855609i | −0.509592 | − | 0.860416i | \(-0.670204\pi\) |
−0.632139 | + | 0.774855i | \(0.717823\pi\) | |||||||
\(242\) | −5.59245 | − | 2.68062i | −0.359496 | − | 0.172316i | ||||
\(243\) | −0.733052 | + | 0.680173i | −0.0470253 | + | 0.0436331i | ||||
\(244\) | −14.9077 | + | 5.91373i | −0.954366 | + | 0.378588i | ||||
\(245\) | −21.5939 | − | 15.7841i | −1.37958 | − | 1.00841i | ||||
\(246\) | 9.20752 | − | 13.5581i | 0.587050 | − | 0.864431i | ||||
\(247\) | 6.83344 | + | 7.36469i | 0.434801 | + | 0.468604i | ||||
\(248\) | 0.0199945 | − | 0.287962i | 0.00126965 | − | 0.0182856i | ||||
\(249\) | 0.257746 | − | 3.43939i | 0.0163340 | − | 0.217962i | ||||
\(250\) | 14.0423 | + | 20.5157i | 0.888112 | + | 1.29753i | ||||
\(251\) | 15.3687 | − | 19.2718i | 0.970065 | − | 1.21642i | −0.00623059 | − | 0.999981i | \(-0.501983\pi\) |
0.976295 | − | 0.216442i | \(-0.0694453\pi\) | |||||||
\(252\) | −2.41271 | − | 4.70944i | −0.151986 | − | 0.296667i | ||||
\(253\) | −16.4326 | − | 20.6058i | −1.03311 | − | 1.29547i | ||||
\(254\) | −4.28342 | + | 13.9770i | −0.268766 | + | 0.876997i | ||||
\(255\) | 2.58591 | + | 6.58880i | 0.161936 | + | 0.412607i | ||||
\(256\) | 5.62733 | − | 14.9778i | 0.351708 | − | 0.936110i | ||||
\(257\) | 8.12965 | − | 0.609233i | 0.507114 | − | 0.0380029i | 0.181283 | − | 0.983431i | \(-0.441975\pi\) |
0.325831 | + | 0.945428i | \(0.394356\pi\) | |||||||
\(258\) | −16.1596 | − | 6.30816i | −1.00605 | − | 0.392729i | ||||
\(259\) | −29.9388 | − | 1.61227i | −1.86031 | − | 0.100181i | ||||
\(260\) | −12.3072 | + | 1.90100i | −0.763263 | + | 0.117895i | ||||
\(261\) | 4.84975 | + | 0.730982i | 0.300192 | + | 0.0452467i | ||||
\(262\) | 7.46430 | − | 0.0136261i | 0.461146 | − | 0.000841821i | ||||
\(263\) | −12.4791 | − | 7.20482i | −0.769495 | − | 0.444268i | 0.0631992 | − | 0.998001i | \(-0.479870\pi\) |
−0.832695 | + | 0.553733i | \(0.813203\pi\) | |||||||
\(264\) | −3.32809 | − | 10.5833i | −0.204830 | − | 0.651356i | ||||
\(265\) | 2.36628 | − | 4.91364i | 0.145360 | − | 0.301842i | ||||
\(266\) | −19.7095 | + | 11.9872i | −1.20847 | + | 0.734983i | ||||
\(267\) | 2.75386 | + | 5.71845i | 0.168534 | + | 0.349964i | ||||
\(268\) | −5.66816 | − | 1.27197i | −0.346238 | − | 0.0776977i | ||||
\(269\) | 4.87674 | − | 5.25588i | 0.297340 | − | 0.320457i | −0.566656 | − | 0.823954i | \(-0.691763\pi\) |
0.863997 | + | 0.503498i | \(0.167954\pi\) | |||||||
\(270\) | −5.26614 | + | 1.21208i | −0.320487 | + | 0.0737648i | ||||
\(271\) | 6.41362 | + | 4.37273i | 0.389600 | + | 0.265625i | 0.742240 | − | 0.670135i | \(-0.233764\pi\) |
−0.352640 | + | 0.935759i | \(0.614716\pi\) | |||||||
\(272\) | −6.91690 | − | 2.65656i | −0.419398 | − | 0.161078i | ||||
\(273\) | −1.04741 | − | 4.18218i | −0.0633924 | − | 0.253117i | ||||
\(274\) | 7.47111 | + | 12.8860i | 0.451346 | + | 0.778469i | ||||
\(275\) | −32.6125 | + | 18.8289i | −1.96661 | + | 1.13542i | ||||
\(276\) | 1.95439 | − | 13.2957i | 0.117640 | − | 0.800307i | ||||
\(277\) | 18.7233 | − | 12.7653i | 1.12497 | − | 0.766994i | 0.149862 | − | 0.988707i | \(-0.452117\pi\) |
0.975112 | + | 0.221713i | \(0.0711648\pi\) | |||||||
\(278\) | −8.65076 | − | 7.99739i | −0.518838 | − | 0.479652i | ||||
\(279\) | 0.0227094 | − | 0.0994964i | 0.00135958 | − | 0.00595669i | ||||
\(280\) | 1.38124 | − | 28.5610i | 0.0825451 | − | 1.70684i | ||||
\(281\) | 1.80216 | + | 7.89579i | 0.107508 | + | 0.471024i | 0.999808 | + | 0.0195811i | \(0.00623324\pi\) |
−0.892300 | + | 0.451442i | \(0.850910\pi\) | |||||||
\(282\) | −4.93494 | + | 8.58372i | −0.293872 | + | 0.511153i | ||||
\(283\) | −5.74734 | − | 1.77282i | −0.341644 | − | 0.105383i | 0.119185 | − | 0.992872i | \(-0.461972\pi\) |
−0.460829 | + | 0.887489i | \(0.652448\pi\) | |||||||
\(284\) | −9.51708 | − | 10.1822i | −0.564735 | − | 0.604200i | ||||
\(285\) | 6.94390 | + | 22.5116i | 0.411321 | + | 1.33347i | ||||
\(286\) | −0.691957 | − | 9.01271i | −0.0409163 | − | 0.532933i | ||||
\(287\) | 15.8847 | + | 26.2255i | 0.937644 | + | 1.54804i | ||||
\(288\) | 2.78359 | − | 4.92459i | 0.164025 | − | 0.290184i | ||||
\(289\) | 4.95720 | − | 12.6307i | 0.291600 | − | 0.742985i | ||||
\(290\) | 20.7512 | + | 16.4866i | 1.21855 | + | 0.968128i | ||||
\(291\) | 0.243137 | + | 1.61311i | 0.0142529 | + | 0.0945621i | ||||
\(292\) | −12.1098 | + | 25.3830i | −0.708674 | + | 1.48543i | ||||
\(293\) | 15.4177i | 0.900713i | 0.892849 | + | 0.450356i | \(0.148703\pi\) | ||||
−0.892849 | + | 0.450356i | \(0.851297\pi\) | |||||||
\(294\) | 9.88999 | − | 0.433707i | 0.576796 | − | 0.0252943i | ||||
\(295\) | 2.28337i | 0.132943i | ||||||||
\(296\) | −16.1780 | − | 27.6700i | −0.940324 | − | 1.60828i | ||||
\(297\) | −0.584604 | − | 3.87860i | −0.0339222 | − | 0.225059i | ||||
\(298\) | −6.31697 | + | 7.95096i | −0.365932 | + | 0.460587i | ||||
\(299\) | 4.00024 | − | 10.1924i | 0.231340 | − | 0.589444i | ||||
\(300\) | −18.3688 | − | 5.59267i | −1.06052 | − | 0.322893i | ||||
\(301\) | 23.3215 | − | 22.5688i | 1.34423 | − | 1.30084i | ||||
\(302\) | 15.9384 | − | 1.22368i | 0.917154 | − | 0.0704151i | ||||
\(303\) | 0.537223 | + | 1.74163i | 0.0308627 | + | 0.100054i | ||||
\(304\) | −22.2966 | − | 10.5376i | −1.27880 | − | 0.604373i | ||||
\(305\) | −29.2796 | − | 9.03155i | −1.67654 | − | 0.517145i | ||||
\(306\) | −2.27108 | − | 1.30568i | −0.129829 | − | 0.0746410i | ||||
\(307\) | 4.22531 | + | 18.5123i | 0.241151 | + | 1.05655i | 0.939971 | + | 0.341254i | \(0.110852\pi\) |
−0.698820 | + | 0.715298i | \(0.746291\pi\) | |||||||
\(308\) | 20.5936 | + | 2.58662i | 1.17343 | + | 0.147387i | ||||
\(309\) | −0.132188 | + | 0.579154i | −0.00751992 | + | 0.0329469i | ||||
\(310\) | 0.374368 | − | 0.404953i | 0.0212627 | − | 0.0229998i | ||||
\(311\) | 5.10374 | − | 3.47967i | 0.289406 | − | 0.197314i | −0.409910 | − | 0.912126i | \(-0.634440\pi\) |
0.699317 | + | 0.714812i | \(0.253488\pi\) | |||||||
\(312\) | 3.11638 | − | 3.39577i | 0.176431 | − | 0.192248i | ||||
\(313\) | 9.53539 | − | 5.50526i | 0.538972 | − | 0.311176i | −0.205690 | − | 0.978617i | \(-0.565944\pi\) |
0.744662 | + | 0.667441i | \(0.232611\pi\) | |||||||
\(314\) | 25.4400 | − | 14.7498i | 1.43566 | − | 0.832377i | ||||
\(315\) | 2.04215 | − | 9.90123i | 0.115062 | − | 0.557871i | ||||
\(316\) | −7.53775 | + | 8.18348i | −0.424031 | + | 0.460357i | ||||
\(317\) | 6.17791 | + | 4.21203i | 0.346986 | + | 0.236571i | 0.724254 | − | 0.689533i | \(-0.242184\pi\) |
−0.377268 | + | 0.926104i | \(0.623136\pi\) | |||||||
\(318\) | 0.452743 | + | 1.96704i | 0.0253886 | + | 0.110306i | ||||
\(319\) | −13.0849 | + | 14.1021i | −0.732611 | + | 0.789567i | ||||
\(320\) | 26.3042 | − | 15.5734i | 1.47045 | − | 0.870578i | ||||
\(321\) | 1.98472 | + | 4.12132i | 0.110776 | + | 0.230029i | ||||
\(322\) | 21.0905 | + | 13.6848i | 1.17533 | + | 0.762623i | ||||
\(323\) | −4.95517 | + | 10.2895i | −0.275713 | + | 0.572524i | ||||
\(324\) | 1.24126 | − | 1.56821i | 0.0689590 | − | 0.0871225i | ||||
\(325\) | −13.5487 | − | 7.82232i | −0.751544 | − | 0.433904i | ||||
\(326\) | 0.00979420 | + | 5.36522i | 0.000542451 | + | 0.297152i | ||||
\(327\) | 10.1311 | + | 1.52702i | 0.560253 | + | 0.0844445i | ||||
\(328\) | −14.0599 | + | 29.6094i | −0.776328 | + | 1.63491i | ||||
\(329\) | −10.7537 | − | 15.0823i | −0.592871 | − | 0.831515i | ||||
\(330\) | 7.70774 | − | 19.7449i | 0.424297 | − | 1.08692i | ||||
\(331\) | 8.99879 | − | 0.674366i | 0.494618 | − | 0.0370665i | 0.174914 | − | 0.984584i | \(-0.444035\pi\) |
0.319704 | + | 0.947517i | \(0.396416\pi\) | |||||||
\(332\) | 0.540604 | + | 6.87684i | 0.0296695 | + | 0.377416i | ||||
\(333\) | −4.14012 | − | 10.5489i | −0.226877 | − | 0.578074i | ||||
\(334\) | −7.70477 | − | 2.36121i | −0.421586 | − | 0.129200i | ||||
\(335\) | −6.91984 | − | 8.67721i | −0.378071 | − | 0.474087i | ||||
\(336\) | 6.20667 | + | 8.57189i | 0.338602 | + | 0.467635i | ||||
\(337\) | −5.92746 | + | 7.43280i | −0.322889 | + | 0.404890i | −0.916611 | − | 0.399780i | \(-0.869087\pi\) |
0.593722 | + | 0.804670i | \(0.297658\pi\) | |||||||
\(338\) | −12.0724 | + | 8.26313i | −0.656651 | + | 0.449455i | ||||
\(339\) | 0.374410 | − | 4.99615i | 0.0203351 | − | 0.271354i | ||||
\(340\) | −7.12279 | − | 12.2337i | −0.386288 | − | 0.663464i | ||||
\(341\) | 0.272274 | + | 0.293442i | 0.0147445 | + | 0.0158908i | ||||
\(342\) | −7.21300 | − | 4.89847i | −0.390034 | − | 0.264879i | ||||
\(343\) | −6.96918 | + | 17.1590i | −0.376300 | + | 0.926498i | ||||
\(344\) | 33.8663 | + | 7.53488i | 1.82595 | + | 0.406254i | ||||
\(345\) | 18.8211 | − | 17.4634i | 1.01329 | − | 0.940198i | ||||
\(346\) | 8.13217 | − | 16.9658i | 0.437188 | − | 0.912086i | ||||
\(347\) | −33.0692 | − | 2.47819i | −1.77525 | − | 0.133036i | −0.853565 | − | 0.520986i | \(-0.825564\pi\) |
−0.921680 | + | 0.387950i | \(0.873183\pi\) | |||||||
\(348\) | −9.80899 | + | 0.0358127i | −0.525817 | + | 0.00191976i | ||||
\(349\) | 23.6969 | + | 18.8976i | 1.26846 | + | 1.01157i | 0.998818 | + | 0.0486078i | \(0.0154785\pi\) |
0.269647 | + | 0.962959i | \(0.413093\pi\) | |||||||
\(350\) | 23.8261 | − | 26.8838i | 1.27356 | − | 1.43700i | ||||
\(351\) | 1.27402 | − | 1.01600i | 0.0680023 | − | 0.0542301i | ||||
\(352\) | 9.80929 | + | 19.9024i | 0.522837 | + | 1.06080i | ||||
\(353\) | 0.136471 | − | 0.0535610i | 0.00726363 | − | 0.00285077i | −0.361706 | − | 0.932292i | \(-0.617806\pi\) |
0.368970 | + | 0.929441i | \(0.379710\pi\) | |||||||
\(354\) | −0.528113 | − | 0.659759i | −0.0280689 | − | 0.0350658i | ||||
\(355\) | −1.98991 | − | 26.5535i | −0.105613 | − | 1.40931i | ||||
\(356\) | −7.18903 | − | 10.4621i | −0.381018 | − | 0.554490i | ||||
\(357\) | 3.99047 | − | 2.84521i | 0.211198 | − | 0.150585i | ||||
\(358\) | −1.78985 | − | 1.92195i | −0.0945967 | − | 0.101578i | ||||
\(359\) | −3.19845 | + | 21.2204i | −0.168808 | + | 1.11997i | 0.730583 | + | 0.682823i | \(0.239248\pi\) |
−0.899391 | + | 0.437144i | \(0.855990\pi\) | |||||||
\(360\) | 10.0388 | − | 4.00352i | 0.529090 | − | 0.211004i | ||||
\(361\) | −9.50559 | + | 16.4642i | −0.500294 | + | 0.866535i | ||||
\(362\) | −17.1458 | − | 1.25343i | −0.901163 | − | 0.0658787i | ||||
\(363\) | 3.95099 | + | 1.90270i | 0.207373 | + | 0.0998657i | ||||
\(364\) | 3.34711 | + | 7.94656i | 0.175436 | + | 0.416513i | ||||
\(365\) | −48.4104 | + | 23.3132i | −2.53392 | + | 1.22027i | ||||
\(366\) | 10.5489 | − | 4.16239i | 0.551401 | − | 0.217572i | ||||
\(367\) | 10.3881 | + | 9.63875i | 0.542255 | + | 0.503139i | 0.903067 | − | 0.429500i | \(-0.141310\pi\) |
−0.360812 | + | 0.932638i | \(0.617501\pi\) | |||||||
\(368\) | 0.196255 | + | 26.8764i | 0.0102305 | + | 1.40103i | ||||
\(369\) | −6.52819 | + | 9.57510i | −0.339844 | + | 0.498460i | ||||
\(370\) | 9.01640 | − | 60.5699i | 0.468740 | − | 3.14888i | ||||
\(371\) | −3.69836 | − | 0.762794i | −0.192009 | − | 0.0396023i | ||||
\(372\) | −0.0145100 | + | 0.203594i | −0.000752306 | + | 0.0105558i | ||||
\(373\) | 4.07707 | + | 7.06170i | 0.211103 | + | 0.365641i | 0.952060 | − | 0.305912i | \(-0.0989612\pi\) |
−0.740957 | + | 0.671552i | \(0.765628\pi\) | |||||||
\(374\) | 9.24962 | − | 4.47520i | 0.478286 | − | 0.231407i | ||||
\(375\) | −9.90290 | − | 14.5249i | −0.511383 | − | 0.750062i | ||||
\(376\) | 7.13358 | − | 18.4729i | 0.367886 | − | 0.952667i | ||||
\(377\) | −7.79173 | − | 1.77841i | −0.401295 | − | 0.0915929i | ||||
\(378\) | 1.69996 | + | 3.33319i | 0.0874366 | + | 0.171441i | ||||
\(379\) | 34.3931 | − | 7.85000i | 1.76666 | − | 0.403228i | 0.789161 | − | 0.614187i | \(-0.210516\pi\) |
0.977495 | + | 0.210959i | \(0.0676586\pi\) | |||||||
\(380\) | −20.5979 | − | 42.3755i | −1.05665 | − | 2.17382i | ||||
\(381\) | 3.04687 | − | 9.87771i | 0.156096 | − | 0.506051i | ||||
\(382\) | 28.7308 | + | 6.50246i | 1.46999 | + | 0.332695i | ||||
\(383\) | 1.70007 | − | 0.524401i | 0.0868693 | − | 0.0267956i | −0.251016 | − | 0.967983i | \(-0.580765\pi\) |
0.337885 | + | 0.941187i | \(0.390288\pi\) | |||||||
\(384\) | −3.99845 | + | 10.5836i | −0.204045 | + | 0.540092i | ||||
\(385\) | 27.5761 | + | 28.4957i | 1.40541 | + | 1.45228i | ||||
\(386\) | 35.5245 | − | 11.0289i | 1.80815 | − | 0.561357i | ||||
\(387\) | 11.4184 | + | 4.48140i | 0.580430 | + | 0.227802i | ||||
\(388\) | −0.973062 | − | 3.11418i | −0.0493997 | − | 0.158098i | ||||
\(389\) | 38.4585 | − | 5.79669i | 1.94992 | − | 0.293904i | 0.950088 | − | 0.311983i | \(-0.100993\pi\) |
0.999837 | + | 0.0180795i | \(0.00575520\pi\) | |||||||
\(390\) | 8.70497 | − | 1.32832i | 0.440793 | − | 0.0672621i | ||||
\(391\) | 12.4466 | 0.629454 | ||||||||
\(392\) | −19.4157 | + | 3.87669i | −0.980643 | + | 0.195802i | ||||
\(393\) | −5.27807 | −0.266243 | ||||||||
\(394\) | 2.39126 | − | 0.364890i | 0.120470 | − | 0.0183829i | ||||
\(395\) | −21.0192 | + | 3.16813i | −1.05759 | + | 0.159406i | ||||
\(396\) | 2.33965 | + | 7.48780i | 0.117572 | + | 0.376276i | ||||
\(397\) | 7.30868 | + | 2.86844i | 0.366812 | + | 0.143963i | 0.541586 | − | 0.840646i | \(-0.317824\pi\) |
−0.174774 | + | 0.984609i | \(0.555919\pi\) | |||||||
\(398\) | −17.5352 | + | 5.44397i | −0.878960 | + | 0.272882i | ||||
\(399\) | 13.9521 | − | 8.45079i | 0.698481 | − | 0.423068i | ||||
\(400\) | 38.0145 | + | 5.44619i | 1.90073 | + | 0.272309i | ||||
\(401\) | −17.6390 | + | 5.44093i | −0.880852 | + | 0.271707i | −0.702007 | − | 0.712170i | \(-0.747712\pi\) |
−0.178845 | + | 0.983877i | \(0.557236\pi\) | |||||||
\(402\) | 4.00634 | + | 0.906731i | 0.199818 | + | 0.0452236i | ||||
\(403\) | −0.0490185 | + | 0.158914i | −0.00244179 | + | 0.00791608i | ||||
\(404\) | −1.59358 | − | 3.27843i | −0.0792835 | − | 0.163108i | ||||
\(405\) | 3.72528 | − | 0.850271i | 0.185111 | − | 0.0422503i | ||||
\(406\) | 7.58280 | − | 16.7112i | 0.376328 | − | 0.829361i | ||||
\(407\) | 43.3351 | + | 9.89096i | 2.14804 | + | 0.490277i | ||||
\(408\) | 4.88755 | + | 1.88740i | 0.241970 | + | 0.0934401i | ||||
\(409\) | 6.35596 | + | 9.32249i | 0.314282 | + | 0.460967i | 0.950582 | − | 0.310475i | \(-0.100488\pi\) |
−0.636299 | + | 0.771442i | \(0.719536\pi\) | |||||||
\(410\) | −56.3723 | + | 27.2744i | −2.78403 | + | 1.34699i | ||||
\(411\) | −5.26623 | − | 9.12138i | −0.259764 | − | 0.449924i | ||||
\(412\) | 0.0844604 | − | 1.18509i | 0.00416107 | − | 0.0583852i | ||||
\(413\) | 1.53366 | − | 0.384101i | 0.0754665 | − | 0.0189004i | ||||
\(414\) | −1.39912 | + | 9.39894i | −0.0687630 | + | 0.461933i | ||||
\(415\) | −7.42401 | + | 10.8890i | −0.364430 | + | 0.534521i | ||||
\(416\) | −5.12298 | + | 7.66339i | −0.251175 | + | 0.375729i | ||||
\(417\) | 6.10668 | + | 5.66617i | 0.299045 | + | 0.277473i | ||||
\(418\) | 31.8128 | − | 12.5527i | 1.55602 | − | 0.613971i | ||||
\(419\) | −30.5166 | + | 14.6960i | −1.49083 | + | 0.717947i | −0.989123 | − | 0.147090i | \(-0.953009\pi\) |
−0.501709 | + | 0.865036i | \(0.667295\pi\) | |||||||
\(420\) | −1.01355 | + | 20.1938i | −0.0494563 | + | 0.985359i | ||||
\(421\) | −25.1032 | − | 12.0891i | −1.22346 | − | 0.589185i | −0.293183 | − | 0.956056i | \(-0.594715\pi\) |
−0.930272 | + | 0.366871i | \(0.880429\pi\) | |||||||
\(422\) | 3.20671 | + | 0.234423i | 0.156100 | + | 0.0114116i | ||||
\(423\) | 3.50061 | − | 6.06323i | 0.170205 | − | 0.294804i | ||||
\(424\) | −1.49542 | − | 3.74974i | −0.0726238 | − | 0.182104i | ||||
\(425\) | 2.65057 | − | 17.5854i | 0.128572 | − | 0.853018i | ||||
\(426\) | 6.71643 | + | 7.21214i | 0.325412 | + | 0.349430i | ||||
\(427\) | −1.14087 | + | 21.1853i | −0.0552107 | + | 1.02523i | ||||
\(428\) | −5.18117 | − | 7.54009i | −0.250441 | − | 0.364464i | ||||
\(429\) | 0.477653 | + | 6.37383i | 0.0230613 | + | 0.307732i | ||||
\(430\) | 41.4226 | + | 51.7483i | 1.99758 | + | 2.49552i | ||||
\(431\) | −16.6220 | + | 6.52367i | −0.800656 | + | 0.314234i | −0.730159 | − | 0.683278i | \(-0.760554\pi\) |
−0.0704971 | + | 0.997512i | \(0.522459\pi\) | |||||||
\(432\) | −1.97465 | + | 3.47861i | −0.0950055 | + | 0.167365i | ||||
\(433\) | 25.9272 | − | 20.6762i | 1.24598 | − | 0.993636i | 0.246278 | − | 0.969199i | \(-0.420792\pi\) |
0.999701 | − | 0.0244365i | \(-0.00777916\pi\) | |||||||
\(434\) | −0.334968 | − | 0.183330i | −0.0160790 | − | 0.00880014i | ||||
\(435\) | −14.6520 | − | 11.6846i | −0.702509 | − | 0.560233i | ||||
\(436\) | −20.4910 | + | 0.0748128i | −0.981341 | + | 0.00358288i | ||||
\(437\) | 41.3107 | + | 3.09581i | 1.97616 | + | 0.148093i | ||||
\(438\) | 8.59569 | − | 17.9328i | 0.410718 | − | 0.856862i | ||||
\(439\) | 12.1520 | − | 11.2754i | 0.579984 | − | 0.538146i | −0.334696 | − | 0.942326i | \(-0.608634\pi\) |
0.914680 | + | 0.404180i | \(0.132443\pi\) | |||||||
\(440\) | −9.20663 | + | 41.3802i | −0.438909 | + | 1.97272i | ||||
\(441\) | −6.99383 | + | 0.293910i | −0.333039 | + | 0.0139957i | ||||
\(442\) | 3.53145 | + | 2.39827i | 0.167974 | + | 0.114074i | ||||
\(443\) | −15.6408 | − | 16.8567i | −0.743115 | − | 0.800888i | 0.242454 | − | 0.970163i | \(-0.422048\pi\) |
−0.985569 | + | 0.169275i | \(0.945857\pi\) | |||||||
\(444\) | 11.4038 | + | 19.5865i | 0.541201 | + | 0.929533i | ||||
\(445\) | 1.81239 | − | 24.1846i | 0.0859153 | − | 1.14646i | ||||
\(446\) | 7.13538 | − | 4.88393i | 0.337870 | − | 0.231261i | ||||
\(447\) | 4.47703 | − | 5.61401i | 0.211756 | − | 0.265534i | ||||
\(448\) | −14.8849 | − | 15.0479i | −0.703245 | − | 0.710948i | ||||
\(449\) | −0.761979 | − | 0.955492i | −0.0359600 | − | 0.0450924i | 0.763526 | − | 0.645777i | \(-0.223466\pi\) |
−0.799486 | + | 0.600684i | \(0.794895\pi\) | |||||||
\(450\) | 12.9815 | + | 3.97832i | 0.611952 | + | 0.187540i | ||||
\(451\) | −16.6069 | − | 42.3137i | −0.781988 | − | 1.99247i | ||||
\(452\) | 0.785296 | + | 9.98950i | 0.0369372 | + | 0.469867i | ||||
\(453\) | −11.2717 | + | 0.844700i | −0.529593 | + | 0.0396875i | ||||
\(454\) | 4.96686 | − | 12.7236i | 0.233106 | − | 0.597149i | ||||
\(455\) | −4.52418 | + | 15.8406i | −0.212097 | + | 0.742620i | ||||
\(456\) | 15.7524 | + | 7.47998i | 0.737676 | + | 0.350282i | ||||
\(457\) | −12.0287 | − | 1.81303i | −0.562679 | − | 0.0848101i | −0.138457 | − | 0.990368i | \(-0.544214\pi\) |
−0.424222 | + | 0.905558i | \(0.639452\pi\) | |||||||
\(458\) | 0.00701483 | + | 3.84269i | 0.000327781 | + | 0.179557i | ||||
\(459\) | 1.60421 | + | 0.926188i | 0.0748779 | + | 0.0432308i | ||||
\(460\) | −31.8693 | + | 40.2636i | −1.48592 | + | 1.87730i | ||||
\(461\) | −16.8636 | + | 35.0176i | −0.785415 | + | 1.63093i | −0.00961392 | + | 0.999954i | \(0.503060\pi\) |
−0.775801 | + | 0.630977i | \(0.782654\pi\) | |||||||
\(462\) | −14.5585 | − | 1.85560i | −0.677324 | − | 0.0863303i | ||||
\(463\) | 3.00383 | + | 6.23751i | 0.139600 | + | 0.289882i | 0.959034 | − | 0.283292i | \(-0.0914265\pi\) |
−0.819434 | + | 0.573173i | \(0.805712\pi\) | |||||||
\(464\) | 19.3771 | − | 3.06550i | 0.899561 | − | 0.142312i | ||||
\(465\) | −0.265241 | + | 0.285862i | −0.0123002 | + | 0.0132565i | ||||
\(466\) | −3.15076 | − | 13.6892i | −0.145956 | − | 0.634138i | ||||
\(467\) | −6.05020 | − | 4.12496i | −0.279970 | − | 0.190880i | 0.415191 | − | 0.909734i | \(-0.363715\pi\) |
−0.695161 | + | 0.718854i | \(0.744667\pi\) | |||||||
\(468\) | −2.20800 | + | 2.39715i | −0.102065 | + | 0.110808i | ||||
\(469\) | −4.66414 | + | 6.10746i | −0.215370 | + | 0.282016i | ||||
\(470\) | 32.7300 | − | 18.9764i | 1.50972 | − | 0.875318i | ||||
\(471\) | −18.0078 | + | 10.3968i | −0.829755 | + | 0.479059i | ||||
\(472\) | 1.24527 | + | 1.14282i | 0.0573184 | + | 0.0526025i | ||||
\(473\) | −39.7533 | + | 27.1033i | −1.82786 | + | 1.24621i | ||||
\(474\) | 5.34055 | − | 5.77685i | 0.245299 | − | 0.265340i | ||||
\(475\) | 13.1713 | − | 57.7071i | 0.604340 | − | 2.64779i | ||||
\(476\) | −7.01876 | + | 6.84203i | −0.321704 | + | 0.313604i | ||||
\(477\) | −0.317598 | − | 1.39149i | −0.0145418 | − | 0.0637119i | ||||
\(478\) | 11.0291 | + | 6.34081i | 0.504457 | + | 0.290022i | ||||
\(479\) | 11.5623 | + | 3.56649i | 0.528294 | + | 0.162957i | 0.547417 | − | 0.836860i | \(-0.315611\pi\) |
−0.0191230 | + | 0.999817i | \(0.506087\pi\) | |||||||
\(480\) | −18.6200 | + | 10.9781i | −0.849882 | + | 0.501078i | ||||
\(481\) | 5.44303 | + | 17.6459i | 0.248181 | + | 0.804582i | ||||
\(482\) | −25.0627 | + | 1.92420i | −1.14157 | + | 0.0876450i | ||||
\(483\) | −14.8956 | − | 9.70381i | −0.677771 | − | 0.441539i | ||||
\(484\) | −8.39027 | − | 2.55455i | −0.381376 | − | 0.116116i | ||||
\(485\) | 2.27733 | − | 5.80255i | 0.103408 | − | 0.263480i | ||||
\(486\) | −0.879728 | + | 1.10728i | −0.0399053 | + | 0.0502274i | ||||
\(487\) | 4.82825 | + | 32.0334i | 0.218789 | + | 1.45157i | 0.780977 | + | 0.624560i | \(0.214722\pi\) |
−0.562188 | + | 0.827010i | \(0.690040\pi\) | |||||||
\(488\) | −19.5798 | + | 11.4478i | −0.886336 | + | 0.518219i | ||||
\(489\) | − | 3.79379i | − | 0.171561i | ||||||
\(490\) | −33.5561 | − | 17.4600i | −1.51591 | − | 0.788764i | ||||
\(491\) | − | 11.3610i | − | 0.512713i | −0.966582 | − | 0.256357i | \(-0.917478\pi\) | ||
0.966582 | − | 0.256357i | \(-0.0825221\pi\) | |||||||
\(492\) | 9.98006 | − | 20.9188i | 0.449936 | − | 0.943094i | ||||
\(493\) | −1.35405 | − | 8.98356i | −0.0609835 | − | 0.404599i | ||||
\(494\) | 11.1245 | + | 8.83829i | 0.500513 | + | 0.397653i | ||||
\(495\) | −5.47567 | + | 13.9518i | −0.246113 | + | 0.627086i | ||||
\(496\) | −0.0334780 | − | 0.406845i | −0.00150321 | − | 0.0182679i | ||||
\(497\) | −17.5003 | + | 5.80329i | −0.784997 | + | 0.260313i | ||||
\(498\) | −0.373387 | − | 4.86335i | −0.0167319 | − | 0.217932i | ||||
\(499\) | −12.2833 | − | 39.8214i | −0.549874 | − | 1.78265i | −0.619408 | − | 0.785069i | \(-0.712627\pi\) |
0.0695339 | − | 0.997580i | \(-0.477849\pi\) | |||||||
\(500\) | 24.0082 | + | 25.6859i | 1.07368 | + | 1.14871i | ||||
\(501\) | 5.44504 | + | 1.67957i | 0.243266 | + | 0.0750377i | ||||
\(502\) | 17.3747 | − | 30.2211i | 0.775471 | − | 1.34883i | ||||
\(503\) | 2.07425 | + | 9.08786i | 0.0924860 | + | 0.405208i | 0.999887 | − | 0.0150590i | \(-0.00479361\pi\) |
−0.907401 | + | 0.420267i | \(0.861936\pi\) | |||||||
\(504\) | −4.37771 | − | 6.06924i | −0.194999 | − | 0.270345i | ||||
\(505\) | 1.54971 | − | 6.78972i | 0.0689612 | − | 0.302139i | ||||
\(506\) | −27.3690 | − | 25.3019i | −1.21670 | − | 1.12481i | ||||
\(507\) | 8.54712 | − | 5.82733i | 0.379591 | − | 0.258801i | ||||
\(508\) | −3.00663 | + | 20.4541i | −0.133398 | + | 0.907504i | ||||
\(509\) | 10.7607 | − | 6.21268i | 0.476959 | − | 0.275372i | −0.242189 | − | 0.970229i | \(-0.577866\pi\) |
0.719148 | + | 0.694857i | \(0.244532\pi\) | |||||||
\(510\) | 5.02078 | + | 8.65969i | 0.222324 | + | 0.383458i | ||||
\(511\) | 23.8021 | + | 28.5939i | 1.05294 | + | 1.26492i | ||||
\(512\) | 4.67198 | − | 22.1398i | 0.206474 | − | 0.978452i | ||||
\(513\) | 5.09403 | + | 3.47305i | 0.224907 | + | 0.153339i | ||||
\(514\) | 11.2355 | − | 2.58603i | 0.495578 | − | 0.114065i | ||||
\(515\) | 1.54393 | − | 1.66396i | 0.0680337 | − | 0.0733228i | ||||
\(516\) | −23.9374 | − | 5.37167i | −1.05378 | − | 0.236475i | ||||
\(517\) | 11.9151 | + | 24.7420i | 0.524027 | + | 1.08815i | ||||
\(518\) | −42.1994 | + | 4.13286i | −1.85413 | + | 0.181587i | ||||
\(519\) | −5.77220 | + | 11.9861i | −0.253372 | + | 0.526132i | ||||
\(520\) | −16.8004 | + | 5.28316i | −0.736745 | + | 0.231682i | ||||
\(521\) | −7.92159 | − | 4.57353i | −0.347051 | − | 0.200370i | 0.316334 | − | 0.948648i | \(-0.397548\pi\) |
−0.663386 | + | 0.748278i | \(0.730881\pi\) | |||||||
\(522\) | 6.93604 | − | 0.0126617i | 0.303582 | − | 0.000554188i | ||||
\(523\) | 20.1807 | + | 3.04175i | 0.882440 | + | 0.133006i | 0.574602 | − | 0.818433i | \(-0.305157\pi\) |
0.307837 | + | 0.951439i | \(0.400395\pi\) | |||||||
\(524\) | 10.4324 | − | 1.61141i | 0.455742 | − | 0.0703948i | ||||
\(525\) | −16.8823 | + | 18.9789i | −0.736802 | + | 0.828308i | ||||
\(526\) | −18.9832 | − | 7.41039i | −0.827707 | − | 0.323108i | ||||
\(527\) | −0.188516 | + | 0.0141273i | −0.00821188 | + | 0.000615395i | ||||
\(528\) | −6.91051 | − | 14.0858i | −0.300741 | − | 0.613005i | ||||
\(529\) | −8.09186 | − | 20.6177i | −0.351820 | − | 0.896423i | ||||
\(530\) | 2.25991 | − | 7.37422i | 0.0981642 | − | 0.320315i | ||||
\(531\) | 0.372580 | + | 0.467201i | 0.0161686 | + | 0.0202748i | ||||
\(532\) | −24.9972 | + | 20.9631i | −1.08377 | + | 0.908867i | ||||
\(533\) | 11.7742 | − | 14.7644i | 0.509997 | − | 0.639516i | ||||
\(534\) | 5.06990 | + | 7.40709i | 0.219396 | + | 0.320536i | ||||
\(535\) | 1.30620 | − | 17.4300i | 0.0564717 | − | 0.753563i | ||||
\(536\) | −8.19561 | − | 0.569059i | −0.353996 | − | 0.0245796i | ||||
\(537\) | 1.26313 | + | 1.36133i | 0.0545083 | + | 0.0587459i | ||||
\(538\) | 5.69660 | − | 8.38824i | 0.245598 | − | 0.361643i | ||||
\(539\) | 14.5008 | − | 23.3153i | 0.624595 | − | 1.00426i | ||||
\(540\) | −7.10365 | + | 2.81795i | −0.305692 | + | 0.121265i | ||||
\(541\) | 0.406226 | − | 0.376923i | 0.0174650 | − | 0.0162052i | −0.671392 | − | 0.741102i | \(-0.734303\pi\) |
0.688857 | + | 0.724897i | \(0.258113\pi\) | |||||||
\(542\) | 9.89927 | + | 4.74500i | 0.425210 | + | 0.203815i | ||||
\(543\) | 12.1223 | + | 0.908439i | 0.520216 | + | 0.0389848i | ||||
\(544\) | −10.2368 | − | 2.23837i | −0.438897 | − | 0.0959694i | ||||
\(545\) | −30.6080 | − | 24.4091i | −1.31110 | − | 1.04557i | ||||
\(546\) | −2.35650 | − | 5.62338i | −0.100849 | − | 0.240658i | ||||
\(547\) | −1.81637 | + | 1.44850i | −0.0776622 | + | 0.0619335i | −0.661551 | − | 0.749900i | \(-0.730102\pi\) |
0.583889 | + | 0.811833i | \(0.301530\pi\) | |||||||
\(548\) | 13.1938 | + | 16.4212i | 0.563611 | + | 0.701477i | ||||
\(549\) | −7.46458 | + | 2.92963i | −0.318581 | + | 0.125034i | ||||
\(550\) | −41.5766 | + | 33.2806i | −1.77283 | + | 1.41909i | ||||
\(551\) | −2.25969 | − | 30.1534i | −0.0962659 | − | 1.28458i | ||||
\(552\) | −0.104080 | − | 19.0047i | −0.00442995 | − | 0.808895i | ||||
\(553\) | 5.66369 | + | 13.5849i | 0.240845 | + | 0.577689i | ||||
\(554\) | 23.4525 | − | 21.8406i | 0.996402 | − | 0.927916i | ||||
\(555\) | −6.45373 | + | 42.8177i | −0.273946 | + | 1.81751i | ||||
\(556\) | −13.8001 | − | 9.33514i | −0.585255 | − | 0.395898i | ||||
\(557\) | 3.45762 | − | 5.98877i | 0.146504 | − | 0.253752i | −0.783429 | − | 0.621481i | \(-0.786531\pi\) |
0.929933 | + | 0.367729i | \(0.119865\pi\) | |||||||
\(558\) | 0.0105229 | − | 0.143944i | 0.000445469 | − | 0.00609362i | ||||
\(559\) | −18.0090 | − | 8.67266i | −0.761698 | − | 0.366815i | ||||
\(560\) | −4.16189 | − | 40.2238i | −0.175872 | − | 1.69977i | ||||
\(561\) | −6.54623 | + | 3.15250i | −0.276382 | + | 0.133099i | ||||
\(562\) | 4.20389 | + | 10.6541i | 0.177330 | + | 0.449416i | ||||
\(563\) | 9.00209 | + | 8.35272i | 0.379393 | + | 0.352025i | 0.846701 | − | 0.532069i | \(-0.178585\pi\) |
−0.467308 | + | 0.884095i | \(0.654776\pi\) | |||||||
\(564\) | −5.06804 | + | 13.0531i | −0.213403 | + | 0.549634i | ||||
\(565\) | −10.7843 | + | 15.8177i | −0.453700 | + | 0.665456i | ||||
\(566\) | −8.41316 | − | 1.25238i | −0.353632 | − | 0.0526413i | ||||
\(567\) | −1.19775 | − | 2.35911i | −0.0503008 | − | 0.0990733i | ||||
\(568\) | −15.4773 | − | 12.2047i | −0.649414 | − | 0.512097i | ||||
\(569\) | −2.40769 | − | 4.17024i | −0.100936 | − | 0.174825i | 0.811135 | − | 0.584859i | \(-0.198850\pi\) |
−0.912070 | + | 0.410034i | \(0.865517\pi\) | |||||||
\(570\) | 14.5102 | + | 29.9905i | 0.607765 | + | 1.25617i | ||||
\(571\) | −19.8113 | − | 29.0578i | −0.829076 | − | 1.21603i | −0.973991 | − | 0.226587i | \(-0.927243\pi\) |
0.144915 | − | 0.989444i | \(-0.453709\pi\) | |||||||
\(572\) | −2.89006 | − | 12.4524i | −0.120839 | − | 0.520663i | ||||
\(573\) | −20.3073 | − | 4.63501i | −0.848350 | − | 0.193630i | ||||
\(574\) | 27.8020 | + | 33.2753i | 1.16043 | + | 1.38888i | ||||
\(575\) | −62.8922 | + | 14.3547i | −2.62279 | + | 0.598634i | ||||
\(576\) | 2.84099 | − | 7.47856i | 0.118374 | − | 0.311606i | ||||
\(577\) | −7.28994 | + | 23.6334i | −0.303484 | + | 0.983871i | 0.667476 | + | 0.744631i | \(0.267375\pi\) |
−0.970960 | + | 0.239240i | \(0.923102\pi\) | |||||||
\(578\) | 4.23581 | − | 18.7157i | 0.176186 | − | 0.778470i | ||||
\(579\) | −25.1338 | + | 7.75275i | −1.04452 | + | 0.322193i | ||||
\(580\) | 32.5279 | + | 18.6220i | 1.35065 | + | 0.773235i | ||||
\(581\) | 8.56261 | + | 3.15473i | 0.355237 | + | 0.130880i | ||||
\(582\) | 0.684038 | + | 2.20331i | 0.0283543 | + | 0.0913300i | ||||
\(583\) | 5.21135 | + | 2.04530i | 0.215832 | + | 0.0847078i | ||||
\(584\) | −11.5150 | + | 38.0695i | −0.476492 | + | 1.57533i | ||||
\(585\) | −6.15705 | + | 0.928026i | −0.254563 | + | 0.0383691i | ||||
\(586\) | 3.28906 | + | 21.5544i | 0.135870 | + | 0.890406i | ||||
\(587\) | 27.0283 | 1.11558 | 0.557788 | − | 0.829983i | \(-0.311650\pi\) | ||||
0.557788 | + | 0.829983i | \(0.311650\pi\) | |||||||
\(588\) | 13.7340 | − | 2.71617i | 0.566380 | − | 0.112013i | ||||
\(589\) | −0.629202 | −0.0259258 | ||||||||
\(590\) | 0.487112 | + | 3.19223i | 0.0200541 | + | 0.131422i | ||||
\(591\) | −1.69134 | + | 0.254929i | −0.0695726 | + | 0.0104864i | ||||
\(592\) | −28.5201 | − | 35.2322i | −1.17217 | − | 1.44804i | ||||
\(593\) | 18.2172 | + | 7.14971i | 0.748089 | + | 0.293603i | 0.708594 | − | 0.705617i | \(-0.249330\pi\) |
0.0394949 | + | 0.999220i | \(0.487425\pi\) | |||||||
\(594\) | −1.64472 | − | 5.29768i | −0.0674835 | − | 0.217367i | ||||
\(595\) | −18.6410 | + | 1.79128i | −0.764206 | + | 0.0734354i | ||||
\(596\) | −7.13514 | + | 12.4633i | −0.292267 | + | 0.510516i | ||||
\(597\) | 12.4063 | − | 3.82683i | 0.507755 | − | 0.156622i | ||||
\(598\) | 3.41810 | − | 15.1027i | 0.139777 | − | 0.617596i | ||||
\(599\) | 3.86963 | − | 12.5450i | 0.158109 | − | 0.512576i | −0.841508 | − | 0.540244i | \(-0.818332\pi\) |
0.999617 | + | 0.0276678i | \(0.00880805\pi\) | |||||||
\(600\) | −26.8733 | − | 3.90010i | −1.09710 | − | 0.159221i | ||||
\(601\) | 18.1765 | − | 4.14866i | 0.741434 | − | 0.169227i | 0.164911 | − | 0.986308i | \(-0.447266\pi\) |
0.576523 | + | 0.817081i | \(0.304409\pi\) | |||||||
\(602\) | 27.7895 | − | 36.5270i | 1.13262 | − | 1.48873i | ||||
\(603\) | −2.83174 | − | 0.646326i | −0.115317 | − | 0.0263204i | ||||
\(604\) | 22.0214 | − | 5.11090i | 0.896038 | − | 0.207959i | ||||
\(605\) | −9.43926 | − | 13.8448i | −0.383760 | − | 0.562873i | ||||
\(606\) | 1.12260 | + | 2.32025i | 0.0456024 | + | 0.0942538i | ||||
\(607\) | −6.94469 | − | 12.0286i | −0.281876 | − | 0.488224i | 0.689970 | − | 0.723837i | \(-0.257623\pi\) |
−0.971847 | + | 0.235613i | \(0.924290\pi\) | |||||||
\(608\) | −33.4193 | − | 9.97536i | −1.35533 | − | 0.404554i | ||||
\(609\) | −5.38341 | + | 11.8068i | −0.218147 | + | 0.478434i | ||||
\(610\) | −42.8605 | − | 6.38018i | −1.73537 | − | 0.258326i | ||||
\(611\) | −6.42677 | + | 9.42634i | −0.259999 | + | 0.381349i | ||||
\(612\) | −3.45358 | − | 1.34090i | −0.139603 | − | 0.0542026i | ||||
\(613\) | −6.39128 | − | 5.93024i | −0.258142 | − | 0.239520i | 0.540476 | − | 0.841360i | \(-0.318244\pi\) |
−0.798617 | + | 0.601839i | \(0.794435\pi\) | |||||||
\(614\) | 9.85634 | + | 24.9794i | 0.397769 | + | 1.00809i | ||||
\(615\) | 39.8964 | − | 19.2131i | 1.60878 | − | 0.774747i | ||||
\(616\) | 29.3423 | − | 0.777056i | 1.18224 | − | 0.0313085i | ||||
\(617\) | 20.0111 | + | 9.63684i | 0.805616 | + | 0.387964i | 0.790914 | − | 0.611928i | \(-0.209606\pi\) |
0.0147025 | + | 0.999892i | \(0.495320\pi\) | |||||||
\(618\) | −0.0612522 | + | 0.837875i | −0.00246392 | + | 0.0337043i | ||||
\(619\) | −7.16302 | + | 12.4067i | −0.287906 | + | 0.498668i | −0.973310 | − | 0.229495i | \(-0.926292\pi\) |
0.685404 | + | 0.728163i | \(0.259626\pi\) | |||||||
\(620\) | 0.436990 | − | 0.646001i | 0.0175499 | − | 0.0259440i | ||||
\(621\) | 1.00146 | − | 6.64424i | 0.0401871 | − | 0.266624i | ||||
\(622\) | 6.39287 | − | 5.95347i | 0.256331 | − | 0.238712i | ||||
\(623\) | −16.5488 | + | 2.85093i | −0.663014 | + | 0.114220i | ||||
\(624\) | 3.63238 | − | 5.41221i | 0.145412 | − | 0.216662i | ||||
\(625\) | 1.43254 | + | 19.1159i | 0.0573014 | + | 0.764635i | ||||
\(626\) | 12.1563 | − | 9.73071i | 0.485865 | − | 0.388917i | ||||
\(627\) | −22.5112 | + | 8.83500i | −0.899011 | + | 0.352836i | ||||
\(628\) | 32.4193 | − | 26.0477i | 1.29367 | − | 1.03942i | ||||
\(629\) | −16.4118 | + | 13.0880i | −0.654383 | + | 0.521853i | ||||
\(630\) | 0.742755 | − | 14.2779i | 0.0295921 | − | 0.568844i | ||||
\(631\) | 0.851719 | + | 0.679223i | 0.0339064 | + | 0.0270395i | 0.640296 | − | 0.768128i | \(-0.278812\pi\) |
−0.606390 | + | 0.795167i | \(0.707383\pi\) | |||||||
\(632\) | −8.79222 | + | 13.0488i | −0.349736 | + | 0.519053i | ||||
\(633\) | −2.26718 | − | 0.169901i | −0.0901122 | − | 0.00675298i | ||||
\(634\) | 9.53547 | + | 4.57061i | 0.378702 | + | 0.181522i | ||||
\(635\) | −28.9543 | + | 26.8657i | −1.14902 | + | 1.06613i | ||||
\(636\) | 1.05258 | + | 2.65340i | 0.0417374 | + | 0.105214i | ||||
\(637\) | 11.4006 | + | 0.374078i | 0.451709 | + | 0.0148215i | ||||
\(638\) | −15.2846 | + | 22.5066i | −0.605124 | + | 0.891045i | ||||
\(639\) | −4.73992 | − | 5.10842i | −0.187508 | − | 0.202086i | ||||
\(640\) | 33.4519 | − | 27.3835i | 1.32230 | − | 1.08243i | ||||
\(641\) | 2.46733 | − | 32.9243i | 0.0974537 | − | 1.30043i | −0.707339 | − | 0.706874i | \(-0.750105\pi\) |
0.804793 | − | 0.593556i | \(-0.202276\pi\) | |||||||
\(642\) | 3.65390 | + | 5.33833i | 0.144208 | + | 0.210687i | ||||
\(643\) | 10.8171 | − | 13.5642i | 0.426583 | − | 0.534918i | −0.521369 | − | 0.853331i | \(-0.674579\pi\) |
0.947952 | + | 0.318413i | \(0.103150\pi\) | |||||||
\(644\) | 32.4046 | + | 14.6325i | 1.27692 | + | 0.576602i | ||||
\(645\) | −29.2234 | − | 36.6450i | −1.15067 | − | 1.44289i | ||||
\(646\) | −4.73241 | + | 15.4421i | −0.186194 | + | 0.607563i | ||||
\(647\) | 14.3801 | + | 36.6399i | 0.565340 | + | 1.44046i | 0.872410 | + | 0.488775i | \(0.162556\pi\) |
−0.307070 | + | 0.951687i | \(0.599349\pi\) | |||||||
\(648\) | 1.40078 | − | 2.45720i | 0.0550277 | − | 0.0965278i | ||||
\(649\) | −2.33737 | + | 0.175162i | −0.0917497 | + | 0.00687569i | ||||
\(650\) | −20.6102 | − | 8.04551i | −0.808398 | − | 0.315571i | ||||
\(651\) | 0.236621 | + | 0.130066i | 0.00927391 | + | 0.00509770i | ||||
\(652\) | 1.15826 | + | 7.49866i | 0.0453608 | + | 0.293670i | ||||
\(653\) | 20.1078 | + | 3.03077i | 0.786880 | + | 0.118603i | 0.530177 | − | 0.847887i | \(-0.322126\pi\) |
0.256704 | + | 0.966490i | \(0.417364\pi\) | |||||||
\(654\) | 14.4894 | − | 0.0264504i | 0.566580 | − | 0.00103429i | ||||
\(655\) | 17.4659 | + | 10.0840i | 0.682451 | + | 0.394013i | ||||
\(656\) | −13.3396 | + | 44.3943i | −0.520824 | + | 1.73331i | ||||
\(657\) | −6.10121 | + | 12.6693i | −0.238031 | + | 0.494276i | ||||
\(658\) | −18.2515 | − | 18.7915i | −0.711519 | − | 0.732567i | ||||
\(659\) | −10.6971 | − | 22.2127i | −0.416699 | − | 0.865283i | −0.998644 | − | 0.0520557i | \(-0.983423\pi\) |
0.581946 | − | 0.813228i | \(-0.302292\pi\) | |||||||
\(660\) | 6.56347 | − | 29.2483i | 0.255483 | − | 1.13849i | ||||
\(661\) | −4.27733 | + | 4.60986i | −0.166369 | + | 0.179303i | −0.810733 | − | 0.585415i | \(-0.800931\pi\) |
0.644365 | + | 0.764718i | \(0.277122\pi\) | |||||||
\(662\) | 12.4367 | − | 2.86250i | 0.483367 | − | 0.111254i | ||||
\(663\) | −2.49401 | − | 1.70039i | −0.0968595 | − | 0.0660377i | ||||
\(664\) | 2.22282 | + | 9.49871i | 0.0862621 | + | 0.368622i | ||||
\(665\) | −62.3154 | + | 1.30880i | −2.41649 | + | 0.0507531i | ||||
\(666\) | −8.03841 | − | 13.8644i | −0.311482 | − | 0.537236i | ||||
\(667\) | −28.5398 | + | 16.4775i | −1.10507 | + | 0.638010i | ||||
\(668\) | −11.2752 | − | 1.65739i | −0.436252 | − | 0.0641263i | ||||
\(669\) | −5.05177 | + | 3.44424i | −0.195313 | + | 0.133162i | ||||
\(670\) | −11.5253 | − | 10.6548i | −0.445260 | − | 0.411631i | ||||
\(671\) | 6.99903 | − | 30.6648i | 0.270195 | − | 1.18380i | ||||
\(672\) | 10.5058 | + | 10.6597i | 0.405268 | + | 0.411207i | ||||
\(673\) | 5.84863 | + | 25.6245i | 0.225448 | + | 0.987753i | 0.953301 | + | 0.302020i | \(0.0976611\pi\) |
−0.727853 | + | 0.685733i | \(0.759482\pi\) | |||||||
\(674\) | −6.70113 | + | 11.6558i | −0.258118 | + | 0.448964i | ||||
\(675\) | −9.17414 | − | 2.82985i | −0.353113 | − | 0.108921i | ||||
\(676\) | −15.1148 | + | 14.1275i | −0.581338 | + | 0.543366i | ||||
\(677\) | 13.1399 | + | 42.5987i | 0.505009 | + | 1.63720i | 0.745469 | + | 0.666540i | \(0.232226\pi\) |
−0.240460 | + | 0.970659i | \(0.577298\pi\) | |||||||
\(678\) | −0.542393 | − | 7.06465i | −0.0208305 | − | 0.271316i | ||||
\(679\) | −4.28045 | − | 0.553520i | −0.164269 | − | 0.0212422i | ||||
\(680\) | −12.5677 | − | 15.5835i | −0.481949 | − | 0.597602i | ||||
\(681\) | −3.52852 | + | 8.99052i | −0.135213 | + | 0.344518i | ||||
\(682\) | 0.443248 | + | 0.352156i | 0.0169728 | + | 0.0134848i | ||||
\(683\) | −5.31088 | − | 35.2354i | −0.203215 | − | 1.34824i | −0.825034 | − | 0.565083i | \(-0.808844\pi\) |
0.621819 | − | 0.783161i | \(-0.286394\pi\) | |||||||
\(684\) | −11.1290 | − | 5.30947i | −0.425527 | − | 0.203013i | ||||
\(685\) | 40.2454i | 1.53770i | ||||||||
\(686\) | −6.08260 | + | 25.4755i | −0.232235 | + | 0.972660i | ||||
\(687\) | − | 2.71720i | − | 0.103668i | ||||||
\(688\) | 48.9536 | + | 3.30929i | 1.86634 | + | 0.126166i | ||||
\(689\) | 0.346642 | + | 2.29982i | 0.0132060 | + | 0.0876160i | ||||
\(690\) | 22.5870 | − | 28.4295i | 0.859871 | − | 1.08229i | ||||
\(691\) | −7.29502 | + | 18.5874i | −0.277516 | + | 0.707098i | 0.722363 | + | 0.691514i | \(0.243056\pi\) |
−0.999879 | + | 0.0155841i | \(0.995039\pi\) | |||||||
\(692\) | 7.74972 | − | 25.4535i | 0.294600 | − | 0.967598i | ||||
\(693\) | 10.2920 | + | 1.33090i | 0.390961 | + | 0.0505566i | ||||
\(694\) | −46.7604 | + | 3.59006i | −1.77500 | + | 0.136277i | ||||
\(695\) | −9.38249 | − | 30.4173i | −0.355898 | − | 1.15379i | ||||
\(696\) | −13.7056 | + | 2.14262i | −0.519511 | + | 0.0812158i | ||||
\(697\) | 20.5131 | + | 6.32744i | 0.776988 | + | 0.239669i | ||||
\(698\) | 37.1604 | + | 21.3642i | 1.40654 | + | 0.808648i | ||||
\(699\) | 2.21025 | + | 9.68375i | 0.0835994 | + | 0.366273i | ||||
\(700\) | 27.5745 | − | 42.6672i | 1.04222 | − | 1.61267i | ||||
\(701\) | −8.54621 | + | 37.4434i | −0.322786 | + | 1.41422i | 0.509787 | + | 0.860301i | \(0.329724\pi\) |
−0.832573 | + | 0.553916i | \(0.813133\pi\) | |||||||
\(702\) | 1.56438 | − | 1.69219i | 0.0590437 | − | 0.0638675i | ||||
\(703\) | −57.7266 | + | 39.3573i | −2.17720 | + | 1.48439i | ||||
\(704\) | 17.9595 | + | 25.7316i | 0.676873 | + | 0.969796i | ||||
\(705\) | −23.1681 | + | 13.3761i | −0.872561 | + | 0.503773i | ||||
\(706\) | 0.179365 | − | 0.103993i | 0.00675049 | − | 0.00391384i | ||||
\(707\) | −4.82110 | + | 0.101257i | −0.181316 | + | 0.00380816i | ||||
\(708\) | −0.879065 | − | 0.809701i | −0.0330373 | − | 0.0304304i | ||||
\(709\) | −23.6886 | − | 16.1506i | −0.889643 | − | 0.606548i | 0.0298938 | − | 0.999553i | \(-0.490483\pi\) |
−0.919536 | + | 0.393005i | \(0.871435\pi\) | |||||||
\(710\) | −8.44662 | − | 36.6981i | −0.316996 | − | 1.37726i | ||||
\(711\) | −3.78379 | + | 4.07795i | −0.141903 | + | 0.152935i | ||||
\(712\) | −12.2824 | − | 13.0927i | −0.460301 | − | 0.490670i | ||||
\(713\) | 0.297530 | + | 0.617828i | 0.0111426 | + | 0.0231378i | ||||
\(714\) | 4.97183 | − | 4.82898i | 0.186066 | − | 0.180720i | ||||
\(715\) | 10.5968 | − | 22.0046i | 0.396299 | − | 0.822924i | ||||
\(716\) | −2.91228 | − | 2.30512i | −0.108837 | − | 0.0861464i | ||||
\(717\) | −7.79052 | − | 4.49786i | −0.290942 | − | 0.167976i | ||||
\(718\) | 0.0554021 | + | 30.3490i | 0.00206759 | + | 1.13262i | ||||
\(719\) | −30.5983 | − | 4.61195i | −1.14112 | − | 0.171997i | −0.448834 | − | 0.893615i | \(-0.648160\pi\) |
−0.692291 | + | 0.721618i | \(0.743399\pi\) | |||||||
\(720\) | 13.1805 | − | 7.73861i | 0.491207 | − | 0.288401i | ||||
\(721\) | −1.37734 | − | 0.757097i | −0.0512947 | − | 0.0281958i | ||||
\(722\) | −9.77681 | + | 25.0452i | −0.363855 | + | 0.932087i | ||||
\(723\) | 17.7244 | − | 1.32826i | 0.659179 | − | 0.0493986i | ||||
\(724\) | −24.2377 | + | 1.90538i | −0.900789 | + | 0.0708129i | ||||
\(725\) | 17.2027 | + | 43.8318i | 0.638893 | + | 1.62787i | ||||
\(726\) | 5.92951 | + | 1.81716i | 0.220065 | + | 0.0674413i | ||||
\(727\) | −13.7264 | − | 17.2124i | −0.509085 | − | 0.638373i | 0.459166 | − | 0.888350i | \(-0.348148\pi\) |
−0.968252 | + | 0.249977i | \(0.919577\pi\) | |||||||
\(728\) | 6.37461 | + | 10.3955i | 0.236259 | + | 0.385283i | ||||
\(729\) | 0.623490 | − | 0.781831i | 0.0230922 | − | 0.0289567i | ||||
\(730\) | −62.7058 | + | 42.9200i | −2.32085 | + | 1.58854i | ||||
\(731\) | 1.69801 | − | 22.6583i | 0.0628031 | − | 0.838049i | ||||
\(732\) | 13.8598 | − | 8.06955i | 0.512272 | − | 0.298259i | ||||
\(733\) | −20.5483 | − | 22.1458i | −0.758969 | − | 0.817974i | 0.228869 | − | 0.973457i | \(-0.426497\pi\) |
−0.987839 | + | 0.155483i | \(0.950307\pi\) | |||||||
\(734\) | 16.5791 | + | 11.2592i | 0.611947 | + | 0.415584i | ||||
\(735\) | 23.7052 | + | 12.3894i | 0.874379 | + | 0.456990i | ||||
\(736\) | 6.00792 | + | 37.5322i | 0.221455 | + | 1.38346i | ||||
\(737\) | 8.35157 | − | 7.74912i | 0.307634 | − | 0.285443i | ||||
\(738\) | −7.08396 | + | 14.7789i | −0.260764 | + | 0.544020i | ||||
\(739\) | −21.2347 | − | 1.59132i | −0.781131 | − | 0.0585377i | −0.321806 | − | 0.946806i | \(-0.604290\pi\) |
−0.459325 | + | 0.888268i | \(0.651909\pi\) | |||||||
\(740\) | −0.316185 | − | 86.6021i | −0.0116232 | − | 3.18356i | ||||
\(741\) | −7.85476 | − | 6.26396i | −0.288552 | − | 0.230112i | ||||
\(742\) | −5.33315 | − | 0.277438i | −0.195786 | − | 0.0101851i | ||||
\(743\) | 2.04799 | − | 1.63322i | 0.0751335 | − | 0.0599170i | −0.585203 | − | 0.810887i | \(-0.698985\pi\) |
0.660336 | + | 0.750970i | \(0.270414\pi\) | |||||||
\(744\) | 0.0231473 | + | 0.287726i | 0.000848622 | + | 0.0105485i | ||||
\(745\) | −25.5410 | + | 10.0241i | −0.935749 | + | 0.367254i | ||||
\(746\) | 7.20634 | + | 9.00271i | 0.263843 | + | 0.329613i | ||||
\(747\) | 0.257746 | + | 3.43939i | 0.00943045 | + | 0.125841i | ||||
\(748\) | 11.9766 | − | 8.22969i | 0.437906 | − | 0.300907i | ||||
\(749\) | −11.9268 | + | 2.05468i | −0.435796 | + | 0.0750764i | ||||
\(750\) | −16.9432 | − | 18.1937i | −0.618676 | − | 0.664338i | ||||
\(751\) | 7.84244 | − | 52.0312i | 0.286175 | − | 1.89864i | −0.133632 | − | 0.991031i | \(-0.542664\pi\) |
0.419807 | − | 0.907613i | \(-0.362098\pi\) | |||||||
\(752\) | 6.03214 | − | 27.3475i | 0.219969 | − | 0.997260i | ||||
\(753\) | −12.3248 | + | 21.3471i | −0.449139 | + | 0.777932i | ||||
\(754\) | −11.2725 | − | 0.824064i | −0.410519 | − | 0.0300106i | ||||
\(755\) | 38.9138 | + | 18.7399i | 1.41622 | + | 0.682014i | ||||
\(756\) | 3.08767 | + | 4.29724i | 0.112297 | + | 0.156289i | ||||
\(757\) | −4.05396 | + | 1.95228i | −0.147344 | + | 0.0709570i | −0.506103 | − | 0.862473i | \(-0.668914\pi\) |
0.358759 | + | 0.933430i | \(0.383200\pi\) | |||||||
\(758\) | 46.4080 | − | 18.3116i | 1.68561 | − | 0.665108i | ||||
\(759\) | 19.3201 | + | 17.9265i | 0.701277 | + | 0.650690i | ||||
\(760\) | −37.8364 | − | 54.8481i | −1.37247 | − | 1.98955i | ||||
\(761\) | 26.0878 | − | 38.2637i | 0.945681 | − | 1.38706i | 0.0237449 | − | 0.999718i | \(-0.492441\pi\) |
0.921936 | − | 0.387342i | \(-0.126607\pi\) | |||||||
\(762\) | 2.15241 | − | 14.4593i | 0.0779735 | − | 0.523806i | ||||
\(763\) | −11.2460 | + | 24.6643i | −0.407131 | + | 0.892909i | ||||
\(764\) | 41.5537 | + | 2.96150i | 1.50336 | + | 0.107143i | ||||
\(765\) | −3.53904 | − | 6.12980i | −0.127954 | − | 0.221623i | ||||
\(766\) | 2.26487 | − | 1.09580i | 0.0818332 | − | 0.0395930i | ||||
\(767\) | −0.548542 | − | 0.804564i | −0.0198067 | − | 0.0290511i | ||||
\(768\) | −3.33216 | + | 15.6492i | −0.120239 | + | 0.564691i | ||||
\(769\) | −41.2038 | − | 9.40451i | −1.48585 | − | 0.339135i | −0.598833 | − | 0.800874i | \(-0.704369\pi\) |
−0.887016 | + | 0.461739i | \(0.847226\pi\) | |||||||
\(770\) | 44.6312 | + | 33.9551i | 1.60840 | + | 1.22366i | ||||
\(771\) | −7.94805 | + | 1.81409i | −0.286242 | + | 0.0653329i | ||||
\(772\) | 47.3115 | − | 22.9972i | 1.70278 | − | 0.827687i | ||||
\(773\) | −0.488496 | + | 1.58366i | −0.0175700 | + | 0.0569605i | −0.963933 | − | 0.266144i | \(-0.914250\pi\) |
0.946363 | + | 0.323104i | \(0.104727\pi\) | |||||||
\(774\) | 16.9193 | + | 3.82924i | 0.608152 | + | 0.137639i | ||||
\(775\) | 0.936267 | − | 0.288800i | 0.0336317 | − | 0.0103740i | ||||
\(776\) | −2.02472 | − | 4.14613i | −0.0726831 | − | 0.148837i | ||||
\(777\) | 29.8448 | − | 2.86789i | 1.07067 | − | 0.102885i | ||||
\(778\) | 52.5296 | − | 16.3083i | 1.88328 | − | 0.584681i | ||||
\(779\) | 66.5096 | + | 26.1031i | 2.38295 | + | 0.935240i | ||||
\(780\) | 11.8864 | − | 3.71406i | 0.425603 | − | 0.132985i | ||||
\(781\) | 27.0288 | − | 4.07393i | 0.967165 | − | 0.145777i | ||||
\(782\) | 17.4008 | − | 2.65524i | 0.622251 | − | 0.0949513i | ||||
\(783\) | −4.90453 | −0.175274 | ||||||||
\(784\) | −26.3168 | + | 9.56170i | −0.939886 | + | 0.341489i | ||||
\(785\) | 79.4541 | 2.83584 | ||||||||
\(786\) | −7.37890 | + | 1.12597i | −0.263197 | + | 0.0401620i | ||||
\(787\) | 36.7849 | − | 5.54443i | 1.31124 | − | 0.197638i | 0.544047 | − | 0.839055i | \(-0.316891\pi\) |
0.767192 | + | 0.641417i | \(0.221653\pi\) | |||||||
\(788\) | 3.26521 | − | 1.02026i | 0.116318 | − | 0.0363451i | ||||
\(789\) | 13.4136 | + | 5.26443i | 0.477535 | + | 0.187419i | ||||
\(790\) | −28.7096 | + | 8.91317i | −1.02144 | + | 0.317116i | ||||
\(791\) | 12.4383 | + | 4.58266i | 0.442255 | + | 0.162940i | ||||
\(792\) | 4.86828 | + | 9.96905i | 0.172987 | + | 0.354235i | ||||
\(793\) | 12.4866 | − | 3.85159i | 0.443411 | − | 0.136774i | ||||
\(794\) | 10.8297 | + | 2.45101i | 0.384331 | + | 0.0869832i | ||||
\(795\) | −1.60751 | + | 5.21143i | −0.0570126 | + | 0.184830i | ||||
\(796\) | −23.3534 | + | 11.3516i | −0.827739 | + | 0.402348i | ||||
\(797\) | 19.5259 | − | 4.45667i | 0.691644 | − | 0.157863i | 0.137771 | − | 0.990464i | \(-0.456006\pi\) |
0.553873 | + | 0.832601i | \(0.313149\pi\) | |||||||
\(798\) | 17.7027 | − | 14.7909i | 0.626670 | − | 0.523591i | ||||
\(799\) | −12.6437 | − | 2.88585i | −0.447303 | − | 0.102094i | ||||
\(800\) | 54.3073 | − | 0.495703i | 1.92005 | − | 0.0175257i | ||||
\(801\) | −3.57539 | − | 5.24414i | −0.126330 | − | 0.185293i | ||||
\(802\) | −23.4992 | + | 11.3695i | −0.829786 | + | 0.401472i | ||||
\(803\) | −27.5781 | − | 47.7667i | −0.973211 | − | 1.68565i | ||||
\(804\) | 5.79443 | + | 0.412964i | 0.204354 | + | 0.0145641i | ||||
\(805\) | 30.7522 | + | 60.5700i | 1.08387 | + | 2.13481i | ||||
\(806\) | −0.0346283 | + | 0.232624i | −0.00121973 | + | 0.00819383i | ||||
\(807\) | −4.03893 | + | 5.92402i | −0.142177 | + | 0.208535i | ||||
\(808\) | −2.92726 | − | 4.24339i | −0.102981 | − | 0.149282i | ||||
\(809\) | 11.8899 | + | 11.0322i | 0.418028 | + | 0.387873i | 0.860952 | − | 0.508686i | \(-0.169869\pi\) |
−0.442924 | + | 0.896559i | \(0.646059\pi\) | |||||||
\(810\) | 5.02667 | − | 1.98342i | 0.176619 | − | 0.0696902i | ||||
\(811\) | −31.2670 | + | 15.0574i | −1.09793 | + | 0.528737i | −0.893008 | − | 0.450040i | \(-0.851410\pi\) |
−0.204926 | + | 0.978777i | \(0.565695\pi\) | |||||||
\(812\) | 7.03600 | − | 24.9803i | 0.246915 | − | 0.876638i | ||||
\(813\) | −6.99371 | − | 3.36799i | −0.245280 | − | 0.118121i | ||||
\(814\) | 62.6939 | + | 4.58318i | 2.19742 | + | 0.160640i | ||||
\(815\) | −7.24820 | + | 12.5542i | −0.253893 | + | 0.439756i | ||||
\(816\) | 7.23558 | + | 1.59598i | 0.253296 | + | 0.0558704i | ||||
\(817\) | 11.2715 | − | 74.7812i | 0.394338 | − | 2.61626i | ||||
\(818\) | 10.8746 | + | 11.6772i | 0.380221 | + | 0.408284i | ||||
\(819\) | 1.65904 | + | 3.97936i | 0.0579715 | + | 0.139050i | ||||
\(820\) | −72.9918 | + | 50.1563i | −2.54899 | + | 1.75154i | ||||
\(821\) | −2.14550 | − | 28.6297i | −0.0748785 | − | 0.999184i | −0.900471 | − | 0.434917i | \(-0.856778\pi\) |
0.825592 | − | 0.564267i | \(-0.190841\pi\) | |||||||
\(822\) | −9.30822 | − | 11.6285i | −0.324661 | − | 0.405591i | ||||
\(823\) | 20.7901 | − | 8.15950i | 0.724696 | − | 0.284422i | 0.0258216 | − | 0.999667i | \(-0.491780\pi\) |
0.698874 | + | 0.715244i | \(0.253685\pi\) | |||||||
\(824\) | −0.134737 | − | 1.67481i | −0.00469379 | − | 0.0583448i | ||||
\(825\) | 29.4420 | − | 23.4792i | 1.02504 | − | 0.817441i | ||||
\(826\) | 2.06217 | − | 0.864161i | 0.0717519 | − | 0.0300680i | ||||
\(827\) | 13.3373 | + | 10.6361i | 0.463782 | + | 0.369854i | 0.827325 | − | 0.561724i | \(-0.189862\pi\) |
−0.363543 | + | 0.931577i | \(0.618433\pi\) | |||||||
\(828\) | 0.0490640 | + | 13.4385i | 0.00170509 | + | 0.467020i | ||||
\(829\) | 35.4578 | + | 2.65719i | 1.23150 | + | 0.0922882i | 0.674532 | − | 0.738246i | \(-0.264345\pi\) |
0.556968 | + | 0.830534i | \(0.311965\pi\) | |||||||
\(830\) | −8.05604 | + | 16.8070i | −0.279629 | + | 0.583378i | ||||
\(831\) | −16.6116 | + | 15.4133i | −0.576250 | + | 0.534682i | ||||
\(832\) | −5.52725 | + | 11.8065i | −0.191623 | + | 0.409318i | ||||
\(833\) | 4.33886 | + | 12.2192i | 0.150332 | + | 0.423369i | ||||
\(834\) | 9.74609 | + | 6.61874i | 0.337479 | + | 0.229188i | ||||
\(835\) | −14.8096 | − | 15.9609i | −0.512507 | − | 0.552351i | ||||
\(836\) | 41.7974 | − | 24.3357i | 1.44559 | − | 0.841666i | ||||
\(837\) | −0.00762659 | + | 0.101770i | −0.000263613 | + | 0.00351768i | ||||
\(838\) | −39.5280 | + | 27.0556i | −1.36547 | + | 0.934619i | ||||
\(839\) | −23.0019 | + | 28.8435i | −0.794114 | + | 0.995788i | 0.205738 | + | 0.978607i | \(0.434041\pi\) |
−0.999852 | + | 0.0171810i | \(0.994531\pi\) | |||||||
\(840\) | 2.89098 | + | 28.4478i | 0.0997482 | + | 0.981544i | ||||
\(841\) | −3.08353 | − | 3.86663i | −0.106329 | − | 0.133332i | ||||
\(842\) | −37.6740 | − | 11.5456i | −1.29833 | − | 0.397888i | ||||
\(843\) | −2.95884 | − | 7.53901i | −0.101908 | − | 0.259657i | ||||
\(844\) | 4.53308 | − | 0.356355i | 0.156035 | − | 0.0122663i | ||||
\(845\) | −39.4171 | + | 2.95390i | −1.35599 | + | 0.101617i | ||||
\(846\) | 3.60049 | − | 9.22336i | 0.123787 | − | 0.317106i | ||||
\(847\) | −7.71126 | + | 8.66894i | −0.264962 | + | 0.297868i | ||||
\(848\) | −2.89057 | − | 4.92324i | −0.0992626 | − | 0.169065i | ||||
\(849\) | 5.94738 | + | 0.896423i | 0.204113 | + | 0.0307652i | ||||
\(850\) | −0.0459120 | − | 25.1504i | −0.00157477 | − | 0.862652i | ||||
\(851\) | 65.9430 | + | 38.0722i | 2.26050 | + | 1.30510i | ||||
\(852\) | 10.9283 | + | 8.64998i | 0.374399 | + | 0.296344i | ||||
\(853\) | −5.05374 | + | 10.4942i | −0.173037 | + | 0.359314i | −0.969393 | − | 0.245513i | \(-0.921044\pi\) |
0.796357 | + | 0.604827i | \(0.206758\pi\) | |||||||
\(854\) | 2.92449 | + | 29.8611i | 0.100074 | + | 1.02183i | ||||
\(855\) | −10.2215 | − | 21.2252i | −0.349569 | − | 0.725887i | ||||
\(856\) | −8.85197 | − | 9.43598i | −0.302554 | − | 0.322515i | ||||
\(857\) | 5.60796 | − | 6.04394i | 0.191564 | − | 0.206457i | −0.629965 | − | 0.776623i | \(-0.716931\pi\) |
0.821529 | + | 0.570166i | \(0.193121\pi\) | |||||||
\(858\) | 2.02750 | + | 8.80892i | 0.0692178 | + | 0.300732i | ||||
\(859\) | −13.3190 | − | 9.08075i | −0.454439 | − | 0.309831i | 0.314381 | − | 0.949297i | \(-0.398203\pi\) |
−0.768819 | + | 0.639466i | \(0.779156\pi\) | |||||||
\(860\) | 68.9496 | + | 63.5090i | 2.35116 | + | 2.16564i | ||||
\(861\) | −19.6160 | − | 23.5650i | −0.668511 | − | 0.803095i | ||||
\(862\) | −21.8464 | + | 12.6663i | −0.744092 | + | 0.431415i | ||||
\(863\) | 32.2473 | − | 18.6180i | 1.09771 | − | 0.633763i | 0.162092 | − | 0.986776i | \(-0.448176\pi\) |
0.935619 | + | 0.353012i | \(0.114843\pi\) | |||||||
\(864\) | −2.01853 | + | 5.28446i | −0.0686718 | + | 0.179781i | ||||
\(865\) | 42.0011 | − | 28.6358i | 1.42808 | − | 0.973648i | ||||
\(866\) | 31.8361 | − | 34.4370i | 1.08184 | − | 1.17022i | ||||
\(867\) | −3.01932 | + | 13.2285i | −0.102541 | + | 0.449264i | ||||
\(868\) | −0.507405 | − | 0.184843i | −0.0172225 | − | 0.00627397i | ||||
\(869\) | −4.85547 | − | 21.2732i | −0.164710 | − | 0.721643i | ||||
\(870\) | −22.9766 | − | 13.2097i | −0.778980 | − | 0.447850i | ||||
\(871\) | 4.52281 | + | 1.39510i | 0.153250 | + | 0.0472713i | ||||
\(872\) | −28.6311 | + | 4.47594i | −0.969571 | + | 0.151574i | ||||
\(873\) | −0.480843 | − | 1.55885i | −0.0162741 | − | 0.0527592i | ||||
\(874\) | 58.4141 | − | 4.48478i | 1.97589 | − | 0.151700i | ||||
\(875\) | 44.1470 | − | 14.6396i | 1.49244 | − | 0.494909i | ||||
\(876\) | 8.19143 | − | 26.9043i | 0.276763 | − | 0.909013i | ||||
\(877\) | 8.50407 | − | 21.6680i | 0.287162 | − | 0.731677i | −0.712391 | − | 0.701783i | \(-0.752388\pi\) |
0.999553 | − | 0.0298942i | \(-0.00951704\pi\) | |||||||
\(878\) | 14.5835 | − | 18.3558i | 0.492169 | − | 0.619477i | ||||
\(879\) | −2.29789 | − | 15.2455i | −0.0775060 | − | 0.514218i | ||||
\(880\) | −4.04351 | + | 59.8148i | −0.136307 | + | 2.01636i | ||||
\(881\) | − | 43.4071i | − | 1.46242i | −0.682151 | − | 0.731212i | \(-0.738955\pi\) | ||
0.682151 | − | 0.731212i | \(-0.261045\pi\) | |||||||
\(882\) | −9.71489 | + | 1.90289i | −0.327117 | + | 0.0640736i | ||||
\(883\) | 19.3633i | 0.651628i | 0.945434 | + | 0.325814i | \(0.105638\pi\) | ||||
−0.945434 | + | 0.325814i | \(0.894362\pi\) | |||||||
\(884\) | 5.44870 | + | 2.59949i | 0.183260 | + | 0.0874304i | ||||
\(885\) | −0.340319 | − | 2.25787i | −0.0114397 | − | 0.0758975i | ||||
\(886\) | −25.4623 | − | 20.2296i | −0.855423 | − | 0.679626i | ||||
\(887\) | −6.71269 | + | 17.1036i | −0.225390 | + | 0.574284i | −0.998175 | − | 0.0603833i | \(-0.980768\pi\) |
0.772785 | + | 0.634668i | \(0.218863\pi\) | |||||||
\(888\) | 20.1213 | + | 24.9497i | 0.675225 | + | 0.837258i | ||||
\(889\) | 22.9153 | + | 14.9284i | 0.768556 | + | 0.500681i | ||||
\(890\) | −2.62553 | − | 34.1975i | −0.0880080 | − | 1.14630i | ||||
\(891\) | 1.15615 | + | 3.74814i | 0.0387325 | + | 0.125568i | ||||
\(892\) | 8.93360 | − | 8.35007i | 0.299119 | − | 0.279581i | ||||
\(893\) | −41.2470 | − | 12.7230i | −1.38028 | − | 0.425760i | ||||
\(894\) | 5.06138 | − | 8.80365i | 0.169278 | − | 0.294438i | ||||
\(895\) | −1.57902 | − | 6.91814i | −0.0527808 | − | 0.231248i | ||||
\(896\) | −24.0197 | − | 17.8621i | −0.802442 | − | 0.596730i | ||||
\(897\) | −2.43645 | + | 10.6748i | −0.0813508 | + | 0.356421i | ||||
\(898\) | −1.26911 | − | 1.17325i | −0.0423506 | − | 0.0391520i | ||||
\(899\) | 0.413559 | − | 0.281960i | 0.0137930 | − | 0.00940389i | ||||
\(900\) | 18.9972 | + | 2.79247i | 0.633240 | + | 0.0930823i | ||||
\(901\) | −2.28964 | + | 1.32192i | −0.0762789 | + | 0.0440396i | ||||
\(902\) | −32.2437 | − | 55.6131i | −1.07360 | − | 1.85171i | ||||
\(903\) | −19.6973 | + | 25.7926i | −0.655484 | + | 0.858324i | ||||
\(904\) | 3.22893 | + | 13.7981i | 0.107393 | + | 0.458918i | ||||
\(905\) | −38.3788 | − | 26.1663i | −1.27576 | − | 0.869796i | ||||
\(906\) | −15.5780 | + | 3.58552i | −0.517546 | + | 0.119121i | ||||
\(907\) | 1.37331 | − | 1.48008i | 0.0456000 | − | 0.0491451i | −0.709840 | − | 0.704363i | \(-0.751233\pi\) |
0.755440 | + | 0.655218i | \(0.227423\pi\) | |||||||
\(908\) | 4.22950 | − | 18.8476i | 0.140361 | − | 0.625479i | ||||
\(909\) | −0.790800 | − | 1.64211i | −0.0262292 | − | 0.0544654i | ||||
\(910\) | −2.94566 | + | 23.1108i | −0.0976476 | + | 0.766116i | ||||
\(911\) | −12.7365 | + | 26.4475i | −0.421978 | + | 0.876246i | 0.576281 | + | 0.817252i | \(0.304504\pi\) |
−0.998258 | + | 0.0589940i | \(0.981211\pi\) | |||||||
\(912\) | 23.6181 | + | 7.09677i | 0.782073 | + | 0.234998i | ||||
\(913\) | −11.7160 | − | 6.76425i | −0.387744 | − | 0.223864i | ||||
\(914\) | −17.2033 | + | 0.0314045i | −0.569033 | + | 0.00103877i | ||||
\(915\) | 30.2986 | + | 4.56678i | 1.00164 | + | 0.150973i | ||||
\(916\) | 0.829569 | + | 5.37071i | 0.0274097 | + | 0.177453i | ||||
\(917\) | 3.83499 | − | 13.4275i | 0.126642 | − | 0.443416i | ||||
\(918\) | 2.44031 | + | 0.952615i | 0.0805423 | + | 0.0314410i | ||||
\(919\) | −13.6870 | + | 1.02570i | −0.451491 | + | 0.0338346i | −0.298536 | − | 0.954399i | \(-0.596498\pi\) |
−0.152955 | + | 0.988233i | \(0.548879\pi\) | |||||||
\(920\) | −35.9649 | + | 63.0884i | −1.18573 | + | 2.07996i | ||||
\(921\) | −6.93723 | − | 17.6758i | −0.228589 | − | 0.582436i | ||||
\(922\) | −16.1055 | + | 52.5532i | −0.530406 | + | 1.73075i | ||||
\(923\) | 7.08020 | + | 8.87828i | 0.233047 | + | 0.292232i | ||||
\(924\) | −20.7491 | + | 0.511585i | −0.682596 | + | 0.0168299i | ||||
\(925\) | 67.8337 | − | 85.0608i | 2.23036 | − | 2.79678i | ||||
\(926\) | 5.53009 | + | 8.07942i | 0.181730 | + | 0.265506i | ||||
\(927\) | 0.0443933 | − | 0.592387i | 0.00145807 | − | 0.0194566i | ||||
\(928\) | 26.4359 | − | 8.41939i | 0.867800 | − | 0.276380i | ||||
\(929\) | 30.0350 | + | 32.3700i | 0.985416 | + | 1.06203i | 0.998070 | + | 0.0621061i | \(0.0197817\pi\) |
−0.0126534 | + | 0.999920i | \(0.504028\pi\) | |||||||
\(930\) | −0.309832 | + | 0.456227i | −0.0101598 | + | 0.0149603i | ||||
\(931\) | 11.3615 | + | 41.6349i | 0.372360 | + | 1.36453i | ||||
\(932\) | −7.32517 | − | 18.4657i | −0.239944 | − | 0.604864i | ||||
\(933\) | −4.52812 | + | 4.20148i | −0.148244 | + | 0.137550i | ||||
\(934\) | −9.33835 | − | 4.47613i | −0.305560 | − | 0.146463i | ||||
\(935\) | 27.6855 | + | 2.07474i | 0.905412 | + | 0.0678512i | ||||
\(936\) | −2.57546 | + | 3.82232i | −0.0841816 | + | 0.124936i | ||||
\(937\) | −38.0979 | − | 30.3821i | −1.24461 | − | 0.992540i | −0.999736 | − | 0.0229840i | \(-0.992683\pi\) |
−0.244870 | − | 0.969556i | \(-0.578745\pi\) | |||||||
\(938\) | −5.21771 | + | 9.53342i | −0.170364 | + | 0.311277i | ||||
\(939\) | −8.60837 | + | 6.86495i | −0.280924 | + | 0.224029i | ||||
\(940\) | 41.7094 | − | 33.5120i | 1.36041 | − | 1.09304i | ||||
\(941\) | −10.5337 | + | 4.13417i | −0.343389 | + | 0.134770i | −0.530767 | − | 0.847518i | \(-0.678096\pi\) |
0.187378 | + | 0.982288i | \(0.440001\pi\) | |||||||
\(942\) | −22.9575 | + | 18.3767i | −0.747996 | + | 0.598744i | ||||
\(943\) | −5.81911 | − | 77.6506i | −0.189496 | − | 2.52865i | ||||
\(944\) | 1.98473 | + | 1.33204i | 0.0645974 | + | 0.0433543i | ||||
\(945\) | −0.543636 | + | 10.0950i | −0.0176845 | + | 0.328391i | ||||
\(946\) | −49.7944 | + | 46.3719i | −1.61895 | + | 1.50768i | ||||
\(947\) | −1.15524 | + | 7.66450i | −0.0375402 | + | 0.249063i | −0.999728 | − | 0.0233242i | \(-0.992575\pi\) |
0.962188 | + | 0.272387i | \(0.0878131\pi\) | |||||||
\(948\) | 6.23387 | − | 9.21552i | 0.202467 | − | 0.299306i | ||||
\(949\) | 11.4572 | − | 19.8444i | 0.371915 | − | 0.644175i | ||||
\(950\) | 6.10319 | − | 83.4862i | 0.198014 | − | 2.70865i | ||||
\(951\) | −6.73668 | − | 3.24422i | −0.218452 | − | 0.105201i | ||||
\(952\) | −8.35283 | + | 11.0627i | −0.270717 | + | 0.358544i | ||||
\(953\) | 9.77340 | − | 4.70662i | 0.316592 | − | 0.152462i | −0.268839 | − | 0.963185i | \(-0.586640\pi\) |
0.585430 | + | 0.810723i | \(0.300926\pi\) | |||||||
\(954\) | −0.740858 | − | 1.87759i | −0.0239862 | − | 0.0607892i | ||||
\(955\) | 58.3446 | + | 54.1359i | 1.88799 | + | 1.75180i | ||||
\(956\) | 16.7716 | + | 6.51182i | 0.542434 | + | 0.210607i | ||||
\(957\) | 10.8369 | − | 15.8948i | 0.350307 | − | 0.513806i | ||||
\(958\) | 16.9253 | + | 2.51948i | 0.546830 | + | 0.0814008i | ||||
\(959\) | 27.0314 | − | 6.76993i | 0.872890 | − | 0.218613i | ||||
\(960\) | −23.6894 | + | 19.3199i | −0.764571 | + | 0.623546i | ||||
\(961\) | 15.4948 | + | 26.8378i | 0.499832 | + | 0.865734i | ||||
\(962\) | 11.3739 | + | 23.5083i | 0.366710 | + | 0.757938i | ||||
\(963\) | −2.57680 | − | 3.77948i | −0.0830364 | − | 0.121792i | ||||
\(964\) | −34.6279 | + | 8.03671i | −1.11529 | + | 0.258845i | ||||
\(965\) | 97.9835 | + | 22.3641i | 3.15420 | + | 0.719926i | ||||
\(966\) | −22.8946 | − | 10.3886i | −0.736620 | − | 0.334247i | ||||
\(967\) | −7.26261 | + | 1.65764i | −0.233550 | + | 0.0533062i | −0.337694 | − | 0.941256i | \(-0.609647\pi\) |
0.104144 | + | 0.994562i | \(0.466790\pi\) | |||||||
\(968\) | −12.2748 | − | 1.78144i | −0.394528 | − | 0.0572576i | ||||
\(969\) | 3.36625 | − | 10.9131i | 0.108140 | − | 0.350580i | ||||
\(970\) | 1.94592 | − | 8.59797i | 0.0624798 | − | 0.276064i | ||||
\(971\) | 0.559028 | − | 0.172437i | 0.0179401 | − | 0.00553378i | −0.285772 | − | 0.958298i | \(-0.592250\pi\) |
0.303712 | + | 0.952764i | \(0.401774\pi\) | |||||||
\(972\) | −0.993670 | + | 1.73569i | −0.0318720 | + | 0.0556723i | ||||
\(973\) | −18.8519 | + | 11.4186i | −0.604365 | + | 0.366063i | ||||
\(974\) | 13.5837 | + | 43.7536i | 0.435251 | + | 1.40196i | ||||
\(975\) | 14.5632 | + | 5.71563i | 0.466395 | + | 0.183047i | ||||
\(976\) | −24.9310 | + | 20.1814i | −0.798022 | + | 0.645990i | ||||
\(977\) | −17.0987 | + | 2.57721i | −0.547035 | + | 0.0824522i | −0.416744 | − | 0.909024i | \(-0.636829\pi\) |
−0.130290 | + | 0.991476i | \(0.541591\pi\) | |||||||
\(978\) | −0.809330 | − | 5.30384i | −0.0258795 | − | 0.169598i | ||||
\(979\) | 24.8955 | 0.795664 | ||||||||
\(980\) | −50.6372 | − | 17.2511i | −1.61755 | − | 0.551067i | ||||
\(981\) | −10.2456 | −0.327116 | ||||||||
\(982\) | −2.42364 | − | 15.8830i | −0.0773413 | − | 0.506846i | ||||
\(983\) | −16.9673 | + | 2.55741i | −0.541172 | + | 0.0815686i | −0.413940 | − | 0.910304i | \(-0.635848\pi\) |
−0.127233 | + | 0.991873i | \(0.540609\pi\) | |||||||
\(984\) | 9.48981 | − | 31.3742i | 0.302524 | − | 1.00017i | ||||
\(985\) | 6.08397 | + | 2.38778i | 0.193851 | + | 0.0760811i | ||||
\(986\) | −3.80947 | − | 12.2704i | −0.121318 | − | 0.390770i | ||||
\(987\) | 12.8815 | + | 13.3111i | 0.410023 | + | 0.423697i | ||||
\(988\) | 17.4378 | + | 9.98302i | 0.554771 | + | 0.317602i | ||||
\(989\) | −78.7593 | + | 24.2940i | −2.50440 | + | 0.772505i | ||||
\(990\) | −4.67882 | + | 20.6731i | −0.148703 | + | 0.657036i | ||||
\(991\) | 4.02986 | − | 13.0645i | 0.128013 | − | 0.415007i | −0.868765 | − | 0.495225i | \(-0.835085\pi\) |
0.996777 | + | 0.0802181i | \(0.0255617\pi\) | |||||||
\(992\) | −0.133596 | − | 0.561640i | −0.00424166 | − | 0.0178321i | ||||
\(993\) | −8.79777 | + | 2.00803i | −0.279189 | + | 0.0637230i | ||||
\(994\) | −23.2280 | + | 11.8465i | −0.736747 | + | 0.375749i | ||||
\(995\) | −48.3656 | − | 11.0391i | −1.53329 | − | 0.349964i | ||||
\(996\) | −1.55951 | − | 6.71946i | −0.0494148 | − | 0.212914i | ||||
\(997\) | 15.1380 | + | 22.2034i | 0.479426 | + | 0.703188i | 0.987411 | − | 0.158178i | \(-0.0505619\pi\) |
−0.507985 | + | 0.861366i | \(0.669609\pi\) | |||||||
\(998\) | −25.6675 | − | 53.0511i | −0.812490 | − | 1.67930i | ||||
\(999\) | 5.66611 | + | 9.81399i | 0.179268 | + | 0.310501i |
(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 | 588.2.ba.b.283.28 | yes | 336 | |
4.3 | odd | 2 | 588.2.ba.a.283.16 | yes | 336 | ||
49.40 | odd | 42 | 588.2.ba.a.187.16 | ✓ | 336 | ||
196.187 | even | 42 | inner | 588.2.ba.b.187.28 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.ba.a.187.16 | ✓ | 336 | 49.40 | odd | 42 | ||
588.2.ba.a.283.16 | yes | 336 | 4.3 | odd | 2 | ||
588.2.ba.b.187.28 | yes | 336 | 196.187 | even | 42 | inner | |
588.2.ba.b.283.28 | yes | 336 | 1.1 | even | 1 | trivial |