Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [799,2,Mod(18,799)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(799, base_ring=CyclotomicField(46))
chi = DirichletCharacter(H, H._module([0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("799.18");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 799 = 17 \cdot 47 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 799.k (of order \(23\), degree \(22\), 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: | \(6.38004712150\) |
Analytic rank: | \(0\) |
Dimension: | \(704\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{23})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{23}]$ |
Embedding invariants
Embedding label | 494.10 | ||
Character | \(\chi\) | \(=\) | 799.494 |
Dual form | 799.2.k.a.613.10 |
$q$-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 \(\left(\mathbb{Z}/799\mathbb{Z}\right)^\times\).
\(n\) | \(52\) | \(377\) |
\(\chi(n)\) | \(e\left(\frac{14}{23}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25553 | + | 0.172568i | −0.887793 | + | 0.122024i | −0.565629 | − | 0.824660i | \(-0.691367\pi\) |
−0.322163 | + | 0.946684i | \(0.604410\pi\) | |||||||
\(3\) | −1.94457 | − | 1.18252i | −1.12270 | − | 0.682728i | −0.169638 | − | 0.985507i | \(-0.554260\pi\) |
−0.953061 | + | 0.302778i | \(0.902086\pi\) | |||||||
\(4\) | −0.379263 | + | 0.106265i | −0.189632 | + | 0.0531323i | ||||
\(5\) | 0.650126 | − | 1.82928i | 0.290745 | − | 0.818078i | −0.703475 | − | 0.710720i | \(-0.748369\pi\) |
0.994220 | − | 0.107358i | \(-0.0342393\pi\) | |||||||
\(6\) | 2.64553 | + | 1.14912i | 1.08003 | + | 0.469124i | ||||
\(7\) | 0.0290669 | + | 0.424943i | 0.0109863 | + | 0.160613i | 0.999925 | + | 0.0122858i | \(0.00391078\pi\) |
−0.988938 | + | 0.148328i | \(0.952611\pi\) | |||||||
\(8\) | 2.78266 | − | 1.20868i | 0.983819 | − | 0.427333i | ||||
\(9\) | 1.00281 | + | 1.93533i | 0.334269 | + | 0.645111i | ||||
\(10\) | −0.500576 | + | 2.40890i | −0.158296 | + | 0.761762i | ||||
\(11\) | 0.293292 | + | 0.314039i | 0.0884310 | + | 0.0946865i | 0.773516 | − | 0.633776i | \(-0.218496\pi\) |
−0.685085 | + | 0.728463i | \(0.740235\pi\) | |||||||
\(12\) | 0.863165 | + | 0.241847i | 0.249174 | + | 0.0698153i | ||||
\(13\) | −2.77126 | + | 3.92598i | −0.768608 | + | 1.08887i | 0.224818 | + | 0.974401i | \(0.427821\pi\) |
−0.993427 | + | 0.114469i | \(0.963483\pi\) | |||||||
\(14\) | −0.109826 | − | 0.528512i | −0.0293523 | − | 0.141251i | ||||
\(15\) | −3.42737 | + | 2.78838i | −0.884944 | + | 0.719955i | ||||
\(16\) | −2.61207 | + | 1.58844i | −0.653018 | + | 0.397109i | ||||
\(17\) | 0.682553 | − | 0.730836i | 0.165543 | − | 0.177254i | ||||
\(18\) | −1.59303 | − | 2.25681i | −0.375481 | − | 0.531936i | ||||
\(19\) | 0.944025 | + | 2.65623i | 0.216574 | + | 0.609381i | 0.999926 | − | 0.0121977i | \(-0.00388274\pi\) |
−0.783351 | + | 0.621579i | \(0.786491\pi\) | |||||||
\(20\) | −0.0521813 | + | 0.762864i | −0.0116681 | + | 0.170581i | ||||
\(21\) | 0.445981 | − | 0.860705i | 0.0973211 | − | 0.187821i | ||||
\(22\) | −0.422430 | − | 0.343672i | −0.0900624 | − | 0.0732712i | ||||
\(23\) | 1.02382 | + | 0.140721i | 0.213482 | + | 0.0293424i | 0.242115 | − | 0.970248i | \(-0.422159\pi\) |
−0.0286332 | + | 0.999590i | \(0.509115\pi\) | |||||||
\(24\) | −6.84037 | − | 0.940187i | −1.39628 | − | 0.191915i | ||||
\(25\) | 0.954960 | + | 0.776918i | 0.190992 | + | 0.155384i | ||||
\(26\) | 2.80189 | − | 5.40741i | 0.549496 | − | 1.06048i | ||||
\(27\) | −0.127401 | + | 1.86254i | −0.0245184 | + | 0.358447i | ||||
\(28\) | −0.0561805 | − | 0.158077i | −0.0106171 | − | 0.0298737i | ||||
\(29\) | −2.25386 | − | 3.19299i | −0.418532 | − | 0.592924i | 0.552016 | − | 0.833834i | \(-0.313859\pi\) |
−0.970548 | + | 0.240909i | \(0.922554\pi\) | |||||||
\(30\) | 3.82198 | − | 4.09234i | 0.697795 | − | 0.747156i | ||||
\(31\) | −5.88688 | + | 3.57989i | −1.05732 | + | 0.642968i | −0.936843 | − | 0.349749i | \(-0.886267\pi\) |
−0.120472 | + | 0.992717i | \(0.538441\pi\) | |||||||
\(32\) | −1.70133 | + | 1.38414i | −0.300756 | + | 0.244683i | ||||
\(33\) | −0.198970 | − | 0.957496i | −0.0346362 | − | 0.166679i | ||||
\(34\) | −0.730846 | + | 1.03537i | −0.125339 | + | 0.177565i | ||||
\(35\) | 0.796237 | + | 0.223095i | 0.134589 | + | 0.0377100i | ||||
\(36\) | −0.585986 | − | 0.627438i | −0.0976643 | − | 0.104573i | ||||
\(37\) | 0.305251 | − | 1.46895i | 0.0501830 | − | 0.241494i | −0.946518 | − | 0.322650i | \(-0.895426\pi\) |
0.996701 | + | 0.0811560i | \(0.0258612\pi\) | |||||||
\(38\) | −1.64363 | − | 3.17207i | −0.266632 | − | 0.514577i | ||||
\(39\) | 10.0315 | − | 4.35727i | 1.60632 | − | 0.697722i | ||||
\(40\) | −0.401933 | − | 5.87606i | −0.0635512 | − | 0.929086i | ||||
\(41\) | 0.821387 | + | 0.356779i | 0.128279 | + | 0.0557195i | 0.461565 | − | 0.887106i | \(-0.347288\pi\) |
−0.333286 | + | 0.942826i | \(0.608158\pi\) | |||||||
\(42\) | −0.411412 | + | 1.15760i | −0.0634822 | + | 0.178622i | ||||
\(43\) | 4.62228 | − | 1.29510i | 0.704891 | − | 0.197501i | 0.101371 | − | 0.994849i | \(-0.467677\pi\) |
0.603521 | + | 0.797347i | \(0.293764\pi\) | |||||||
\(44\) | −0.144606 | − | 0.0879370i | −0.0218002 | − | 0.0132570i | ||||
\(45\) | 4.19221 | − | 0.576206i | 0.624938 | − | 0.0858958i | ||||
\(46\) | −1.30972 | −0.193108 | ||||||||
\(47\) | 5.89950 | − | 3.49226i | 0.860531 | − | 0.509398i | ||||
\(48\) | 6.95771 | 1.00426 | ||||||||
\(49\) | 6.75507 | − | 0.928463i | 0.965010 | − | 0.132638i | ||||
\(50\) | −1.33305 | − | 0.810646i | −0.188522 | − | 0.114643i | ||||
\(51\) | −2.19150 | + | 0.614030i | −0.306872 | + | 0.0859814i | ||||
\(52\) | 0.633844 | − | 1.78347i | 0.0878983 | − | 0.247322i | ||||
\(53\) | 11.8992 | + | 5.16855i | 1.63448 | + | 0.709955i | 0.998111 | − | 0.0614290i | \(-0.0195658\pi\) |
0.636370 | + | 0.771384i | \(0.280435\pi\) | |||||||
\(54\) | −0.161460 | − | 2.36046i | −0.0219719 | − | 0.321218i | ||||
\(55\) | 0.765142 | − | 0.332348i | 0.103172 | − | 0.0448138i | ||||
\(56\) | 0.594504 | + | 1.14734i | 0.0794439 | + | 0.153320i | ||||
\(57\) | 1.30532 | − | 6.28156i | 0.172894 | − | 0.832013i | ||||
\(58\) | 3.38080 | + | 3.61995i | 0.443920 | + | 0.475323i | ||||
\(59\) | 5.10254 | + | 1.42967i | 0.664294 | + | 0.186127i | 0.585385 | − | 0.810755i | \(-0.300943\pi\) |
0.0789092 | + | 0.996882i | \(0.474856\pi\) | |||||||
\(60\) | 1.00357 | − | 1.42174i | 0.129561 | − | 0.183545i | ||||
\(61\) | 1.47632 | + | 7.10443i | 0.189023 | + | 0.909629i | 0.961546 | + | 0.274643i | \(0.0885595\pi\) |
−0.772523 | + | 0.634986i | \(0.781006\pi\) | |||||||
\(62\) | 6.77337 | − | 5.51054i | 0.860219 | − | 0.699840i | ||||
\(63\) | −0.793258 | + | 0.482391i | −0.0999411 | + | 0.0607755i | ||||
\(64\) | 6.07052 | − | 6.49994i | 0.758815 | − | 0.812493i | ||||
\(65\) | 5.38004 | + | 7.62178i | 0.667312 | + | 0.945365i | ||||
\(66\) | 0.415046 | + | 1.16783i | 0.0510886 | + | 0.143750i | ||||
\(67\) | 0.278453 | − | 4.07084i | 0.0340184 | − | 0.497332i | −0.949173 | − | 0.314755i | \(-0.898078\pi\) |
0.983191 | − | 0.182577i | \(-0.0584440\pi\) | |||||||
\(68\) | −0.181205 | + | 0.349711i | −0.0219744 | + | 0.0424086i | ||||
\(69\) | −1.82449 | − | 1.48433i | −0.219643 | − | 0.178693i | ||||
\(70\) | −1.03820 | − | 0.142697i | −0.124088 | − | 0.0170555i | ||||
\(71\) | −10.7187 | − | 1.47325i | −1.27207 | − | 0.174842i | −0.531639 | − | 0.846971i | \(-0.678424\pi\) |
−0.740434 | + | 0.672129i | \(0.765380\pi\) | |||||||
\(72\) | 5.12967 | + | 4.17330i | 0.604538 | + | 0.491828i | ||||
\(73\) | 7.39785 | − | 14.2772i | 0.865853 | − | 1.67102i | 0.132489 | − | 0.991184i | \(-0.457703\pi\) |
0.733364 | − | 0.679836i | \(-0.237949\pi\) | |||||||
\(74\) | −0.129757 | + | 1.89698i | −0.0150840 | + | 0.220520i | ||||
\(75\) | −0.938267 | − | 2.64003i | −0.108342 | − | 0.304845i | ||||
\(76\) | −0.640298 | − | 0.907095i | −0.0734472 | − | 0.104051i | ||||
\(77\) | −0.124924 | + | 0.133761i | −0.0142364 | + | 0.0152435i | ||||
\(78\) | −11.8428 | + | 7.20179i | −1.34094 | + | 0.815442i | ||||
\(79\) | −3.07309 | + | 2.50014i | −0.345750 | + | 0.281288i | −0.788091 | − | 0.615558i | \(-0.788930\pi\) |
0.442342 | + | 0.896847i | \(0.354148\pi\) | |||||||
\(80\) | 1.20752 | + | 5.81089i | 0.135004 | + | 0.649677i | ||||
\(81\) | 6.22122 | − | 8.81347i | 0.691247 | − | 0.979274i | ||||
\(82\) | −1.09284 | − | 0.306200i | −0.120684 | − | 0.0338142i | ||||
\(83\) | 6.74020 | + | 7.21700i | 0.739834 | + | 0.792168i | 0.984114 | − | 0.177536i | \(-0.0568127\pi\) |
−0.244281 | + | 0.969705i | \(0.578552\pi\) | |||||||
\(84\) | −0.0776819 | + | 0.373826i | −0.00847579 | + | 0.0407877i | ||||
\(85\) | −0.893157 | − | 1.72372i | −0.0968765 | − | 0.186963i | ||||
\(86\) | −5.57991 | + | 2.42370i | −0.601697 | + | 0.261354i | ||||
\(87\) | 0.607015 | + | 8.87424i | 0.0650788 | + | 0.951419i | ||||
\(88\) | 1.19571 | + | 0.519369i | 0.127463 | + | 0.0553649i | ||||
\(89\) | 1.29965 | − | 3.65686i | 0.137762 | − | 0.387626i | −0.853232 | − | 0.521532i | \(-0.825361\pi\) |
0.990994 | + | 0.133906i | \(0.0427519\pi\) | |||||||
\(90\) | −5.16401 | + | 1.44689i | −0.544334 | + | 0.152515i | ||||
\(91\) | −1.74887 | − | 1.06351i | −0.183331 | − | 0.111486i | ||||
\(92\) | −0.403252 | + | 0.0554257i | −0.0420419 | + | 0.00577853i | ||||
\(93\) | 15.6808 | 1.62602 | ||||||||
\(94\) | −6.80434 | + | 5.40269i | −0.701814 | + | 0.557245i | ||||
\(95\) | 5.47272 | 0.561490 | ||||||||
\(96\) | 4.94514 | − | 0.679693i | 0.504711 | − | 0.0693709i | ||||
\(97\) | −9.34890 | − | 5.68519i | −0.949237 | − | 0.577244i | −0.0425713 | − | 0.999093i | \(-0.513555\pi\) |
−0.906666 | + | 0.421850i | \(0.861381\pi\) | |||||||
\(98\) | −8.32096 | + | 2.33142i | −0.840544 | + | 0.235509i | ||||
\(99\) | −0.313655 | + | 0.882540i | −0.0315235 | + | 0.0886986i | ||||
\(100\) | −0.444740 | − | 0.193178i | −0.0444740 | − | 0.0193178i | ||||
\(101\) | −1.16510 | − | 17.0332i | −0.115932 | − | 1.69487i | −0.584464 | − | 0.811420i | \(-0.698695\pi\) |
0.468532 | − | 0.883447i | \(-0.344783\pi\) | |||||||
\(102\) | 2.64553 | − | 1.14912i | 0.261946 | − | 0.113779i | ||||
\(103\) | 5.61461 | + | 10.8357i | 0.553224 | + | 1.06767i | 0.986089 | + | 0.166216i | \(0.0531548\pi\) |
−0.432865 | + | 0.901459i | \(0.642497\pi\) | |||||||
\(104\) | −2.96622 | + | 14.2742i | −0.290862 | + | 1.39970i | ||||
\(105\) | −1.28452 | − | 1.37539i | −0.125357 | − | 0.134224i | ||||
\(106\) | −15.8317 | − | 4.43584i | −1.53771 | − | 0.430847i | ||||
\(107\) | 1.70131 | − | 2.41021i | 0.164472 | − | 0.233004i | −0.726384 | − | 0.687289i | \(-0.758801\pi\) |
0.890857 | + | 0.454285i | \(0.150105\pi\) | |||||||
\(108\) | −0.149604 | − | 0.719933i | −0.0143956 | − | 0.0692756i | ||||
\(109\) | 0.105626 | − | 0.0859333i | 0.0101172 | − | 0.00823091i | −0.626016 | − | 0.779810i | \(-0.715316\pi\) |
0.636133 | + | 0.771579i | \(0.280533\pi\) | |||||||
\(110\) | −0.903305 | + | 0.549312i | −0.0861268 | + | 0.0523748i | ||||
\(111\) | −2.33064 | + | 2.49551i | −0.221215 | + | 0.236863i | ||||
\(112\) | −0.750920 | − | 1.06381i | −0.0709553 | − | 0.100521i | ||||
\(113\) | 4.24612 | + | 11.9474i | 0.399441 | + | 1.12392i | 0.956065 | + | 0.293155i | \(0.0947051\pi\) |
−0.556624 | + | 0.830765i | \(0.687904\pi\) | |||||||
\(114\) | −0.554872 | + | 8.11193i | −0.0519685 | + | 0.759752i | ||||
\(115\) | 0.923031 | − | 1.78137i | 0.0860731 | − | 0.166113i | ||||
\(116\) | 1.19411 | + | 0.971480i | 0.110870 | + | 0.0901997i | ||||
\(117\) | −10.3771 | − | 1.42630i | −0.959364 | − | 0.131862i | ||||
\(118\) | −6.65310 | − | 0.914448i | −0.612468 | − | 0.0841817i | ||||
\(119\) | 0.330404 | + | 0.268803i | 0.0302880 | + | 0.0246412i | ||||
\(120\) | −6.16696 | + | 11.9017i | −0.562964 | + | 1.08647i | ||||
\(121\) | 0.738066 | − | 10.7901i | 0.0670969 | − | 0.980922i | ||||
\(122\) | −3.07956 | − | 8.66505i | −0.278810 | − | 0.784496i | ||||
\(123\) | −1.17535 | − | 1.66509i | −0.105978 | − | 0.150136i | ||||
\(124\) | 1.85226 | − | 1.98329i | 0.166338 | − | 0.178105i | ||||
\(125\) | 10.3358 | − | 6.28532i | 0.924459 | − | 0.562176i | ||||
\(126\) | 0.912712 | − | 0.742547i | 0.0813109 | − | 0.0661513i | ||||
\(127\) | −0.228812 | − | 1.10110i | −0.0203037 | − | 0.0977069i | 0.967713 | − | 0.252056i | \(-0.0811067\pi\) |
−0.988016 | + | 0.154349i | \(0.950672\pi\) | |||||||
\(128\) | −3.97041 | + | 5.62479i | −0.350938 | + | 0.497166i | ||||
\(129\) | −10.5198 | − | 2.94752i | −0.926220 | − | 0.259515i | ||||
\(130\) | −8.07007 | − | 8.64093i | −0.707792 | − | 0.757860i | ||||
\(131\) | −4.01916 | + | 19.3412i | −0.351155 | + | 1.68985i | 0.319100 | + | 0.947721i | \(0.396619\pi\) |
−0.670255 | + | 0.742131i | \(0.733815\pi\) | |||||||
\(132\) | 0.177210 | + | 0.342000i | 0.0154241 | + | 0.0297673i | ||||
\(133\) | −1.10131 | + | 0.478366i | −0.0954955 | + | 0.0414796i | ||||
\(134\) | 0.352892 | + | 5.15910i | 0.0304853 | + | 0.445679i | ||||
\(135\) | 3.32428 | + | 1.44394i | 0.286109 | + | 0.124275i | ||||
\(136\) | 1.01597 | − | 2.85866i | 0.0871184 | − | 0.245128i | ||||
\(137\) | 9.09533 | − | 2.54839i | 0.777067 | − | 0.217724i | 0.141674 | − | 0.989913i | \(-0.454751\pi\) |
0.635392 | + | 0.772190i | \(0.280838\pi\) | |||||||
\(138\) | 2.54685 | + | 1.54877i | 0.216802 | + | 0.131840i | ||||
\(139\) | −4.82290 | + | 0.662893i | −0.409073 | + | 0.0562258i | −0.337770 | − | 0.941229i | \(-0.609672\pi\) |
−0.0713037 | + | 0.997455i | \(0.522716\pi\) | |||||||
\(140\) | −0.325691 | −0.0275259 | ||||||||
\(141\) | −15.6017 | − | 0.185338i | −1.31390 | − | 0.0156083i | ||||
\(142\) | 13.7118 | 1.15067 | ||||||||
\(143\) | −2.04570 | + | 0.281175i | −0.171070 | + | 0.0235130i | ||||
\(144\) | −5.69356 | − | 3.46233i | −0.474463 | − | 0.288527i | ||||
\(145\) | −7.30617 | + | 2.04709i | −0.606744 | + | 0.170002i | ||||
\(146\) | −6.82442 | + | 19.2021i | −0.564793 | + | 1.58917i | ||||
\(147\) | −14.2336 | − | 6.18254i | −1.17397 | − | 0.509927i | ||||
\(148\) | 0.0403267 | + | 0.589556i | 0.00331484 | + | 0.0484612i | ||||
\(149\) | −6.07096 | + | 2.63699i | −0.497353 | + | 0.216031i | −0.632155 | − | 0.774842i | \(-0.717830\pi\) |
0.134803 | + | 0.990872i | \(0.456960\pi\) | |||||||
\(150\) | 1.63361 | + | 3.15272i | 0.133383 | + | 0.257418i | ||||
\(151\) | −1.20049 | + | 5.77705i | −0.0976941 | + | 0.470130i | 0.901600 | + | 0.432570i | \(0.142393\pi\) |
−0.999294 | + | 0.0375598i | \(0.988042\pi\) | |||||||
\(152\) | 5.83744 | + | 6.25037i | 0.473479 | + | 0.506972i | ||||
\(153\) | 2.09888 | + | 0.588079i | 0.169684 | + | 0.0475433i | ||||
\(154\) | 0.133763 | − | 0.189498i | 0.0107789 | − | 0.0152702i | ||||
\(155\) | 2.72141 | + | 13.0961i | 0.218589 | + | 1.05191i | ||||
\(156\) | −3.34154 | + | 2.71854i | −0.267537 | + | 0.217658i | ||||
\(157\) | 2.97011 | − | 1.80617i | 0.237041 | − | 0.144148i | −0.396040 | − | 0.918233i | \(-0.629616\pi\) |
0.633081 | + | 0.774085i | \(0.281790\pi\) | |||||||
\(158\) | 3.42690 | − | 3.66932i | 0.272630 | − | 0.291915i | ||||
\(159\) | −17.0269 | − | 24.1217i | −1.35032 | − | 1.91297i | ||||
\(160\) | 1.42589 | + | 4.01208i | 0.112727 | + | 0.317183i | ||||
\(161\) | −0.0300391 | + | 0.439157i | −0.00236742 | + | 0.0346104i | ||||
\(162\) | −6.29000 | + | 12.1391i | −0.494189 | + | 0.953741i | ||||
\(163\) | −4.42323 | − | 3.59856i | −0.346454 | − | 0.281861i | 0.441924 | − | 0.897053i | \(-0.354296\pi\) |
−0.788378 | + | 0.615191i | \(0.789079\pi\) | |||||||
\(164\) | −0.349435 | − | 0.0480287i | −0.0272863 | − | 0.00375041i | ||||
\(165\) | −1.88088 | − | 0.258521i | −0.146426 | − | 0.0201259i | ||||
\(166\) | −9.70794 | − | 7.89800i | −0.753482 | − | 0.613003i | ||||
\(167\) | −4.07170 | + | 7.85802i | −0.315077 | + | 0.608072i | −0.991746 | − | 0.128216i | \(-0.959075\pi\) |
0.676669 | + | 0.736287i | \(0.263423\pi\) | |||||||
\(168\) | 0.200698 | − | 2.93410i | 0.0154842 | − | 0.226371i | ||||
\(169\) | −3.37999 | − | 9.51039i | −0.260000 | − | 0.731569i | ||||
\(170\) | 1.41884 | + | 2.01004i | 0.108820 | + | 0.154163i | ||||
\(171\) | −4.19402 | + | 4.49069i | −0.320724 | + | 0.343412i | ||||
\(172\) | −1.61544 | + | 0.982370i | −0.123176 | + | 0.0749050i | ||||
\(173\) | 4.37814 | − | 3.56188i | 0.332864 | − | 0.270805i | −0.449959 | − | 0.893049i | \(-0.648562\pi\) |
0.782823 | + | 0.622244i | \(0.213779\pi\) | |||||||
\(174\) | −2.29354 | − | 11.0371i | −0.173873 | − | 0.836721i | ||||
\(175\) | −0.302388 | + | 0.428387i | −0.0228584 | + | 0.0323830i | ||||
\(176\) | −1.26493 | − | 0.354417i | −0.0953478 | − | 0.0267152i | ||||
\(177\) | −8.23165 | − | 8.81394i | −0.618729 | − | 0.662497i | ||||
\(178\) | −1.00069 | + | 4.81557i | −0.0750047 | + | 0.360942i | ||||
\(179\) | 3.27694 | + | 6.32421i | 0.244930 | + | 0.472694i | 0.978316 | − | 0.207119i | \(-0.0664088\pi\) |
−0.733386 | + | 0.679813i | \(0.762061\pi\) | |||||||
\(180\) | −1.52872 | + | 0.664018i | −0.113944 | + | 0.0494930i | ||||
\(181\) | 0.829719 | + | 12.1301i | 0.0616725 | + | 0.901621i | 0.920844 | + | 0.389932i | \(0.127502\pi\) |
−0.859171 | + | 0.511688i | \(0.829020\pi\) | |||||||
\(182\) | 2.37928 | + | 1.03347i | 0.176364 | + | 0.0766058i | ||||
\(183\) | 5.53032 | − | 15.5608i | 0.408813 | − | 1.15029i | ||||
\(184\) | 3.01904 | − | 0.845894i | 0.222566 | − | 0.0623601i | ||||
\(185\) | −2.48866 | − | 1.51339i | −0.182970 | − | 0.111267i | ||||
\(186\) | −19.6876 | + | 2.70600i | −1.44357 | + | 0.198414i | ||||
\(187\) | 0.429699 | 0.0314227 | ||||||||
\(188\) | −1.86636 | + | 1.95139i | −0.136118 | + | 0.142320i | ||||
\(189\) | −0.795179 | −0.0578407 | ||||||||
\(190\) | −6.87116 | + | 0.944419i | −0.498486 | + | 0.0685154i | ||||
\(191\) | 6.83842 | + | 4.15853i | 0.494810 | + | 0.300901i | 0.744730 | − | 0.667366i | \(-0.232578\pi\) |
−0.249920 | + | 0.968267i | \(0.580404\pi\) | |||||||
\(192\) | −19.4909 | + | 5.46108i | −1.40663 | + | 0.394120i | ||||
\(193\) | 6.99717 | − | 19.6881i | 0.503667 | − | 1.41718i | −0.369257 | − | 0.929327i | \(-0.620388\pi\) |
0.872924 | − | 0.487856i | \(-0.162221\pi\) | |||||||
\(194\) | 12.7189 | + | 5.52460i | 0.913163 | + | 0.396643i | ||||
\(195\) | −1.44896 | − | 21.1831i | −0.103762 | − | 1.51695i | ||||
\(196\) | −2.46329 | + | 1.06996i | −0.175949 | + | 0.0764255i | ||||
\(197\) | 4.58509 | + | 8.84882i | 0.326674 | + | 0.630452i | 0.993381 | − | 0.114868i | \(-0.0366445\pi\) |
−0.666707 | + | 0.745320i | \(0.732297\pi\) | |||||||
\(198\) | 0.241504 | − | 1.16218i | 0.0171629 | − | 0.0825925i | ||||
\(199\) | −2.49870 | − | 2.67545i | −0.177128 | − | 0.189658i | 0.636094 | − | 0.771612i | \(-0.280549\pi\) |
−0.813222 | + | 0.581954i | \(0.802288\pi\) | |||||||
\(200\) | 3.59638 | + | 1.00766i | 0.254302 | + | 0.0712521i | ||||
\(201\) | −5.35532 | + | 7.58676i | −0.377735 | + | 0.535129i | ||||
\(202\) | 4.40221 | + | 21.1846i | 0.309738 | + | 1.49054i | ||||
\(203\) | 1.29133 | − | 1.05057i | 0.0906335 | − | 0.0737359i | ||||
\(204\) | 0.765906 | − | 0.465758i | 0.0536242 | − | 0.0326096i | ||||
\(205\) | 1.18665 | − | 1.27059i | 0.0828794 | − | 0.0887422i | ||||
\(206\) | −8.91921 | − | 12.6356i | −0.621431 | − | 0.880367i | ||||
\(207\) | 0.754355 | + | 2.12255i | 0.0524313 | + | 0.147528i | ||||
\(208\) | 1.00256 | − | 14.6569i | 0.0695149 | − | 1.01627i | ||||
\(209\) | −0.557286 | + | 1.07551i | −0.0385483 | + | 0.0743948i | ||||
\(210\) | 1.85011 | + | 1.50517i | 0.127669 | + | 0.103867i | ||||
\(211\) | 19.6441 | + | 2.70002i | 1.35236 | + | 0.185877i | 0.775696 | − | 0.631107i | \(-0.217399\pi\) |
0.576660 | + | 0.816984i | \(0.304356\pi\) | |||||||
\(212\) | −5.06217 | − | 0.695779i | −0.347671 | − | 0.0477863i | ||||
\(213\) | 19.1011 | + | 15.5399i | 1.30879 | + | 1.06478i | ||||
\(214\) | −1.72012 | + | 3.31968i | −0.117585 | + | 0.226929i | ||||
\(215\) | 0.635961 | − | 9.29742i | 0.0433722 | − | 0.634079i | ||||
\(216\) | 1.89670 | + | 5.33682i | 0.129054 | + | 0.363124i | ||||
\(217\) | −1.69236 | − | 2.39753i | −0.114885 | − | 0.162755i | ||||
\(218\) | −0.117787 | + | 0.126119i | −0.00797756 | + | 0.00854188i | ||||
\(219\) | −31.2687 | + | 19.0149i | −2.11294 | + | 1.28491i | ||||
\(220\) | −0.254874 | + | 0.207355i | −0.0171836 | + | 0.0139799i | ||||
\(221\) | 0.977715 | + | 4.70502i | 0.0657682 | + | 0.316494i | ||||
\(222\) | 2.49554 | − | 3.53538i | 0.167490 | − | 0.237279i | ||||
\(223\) | −4.05337 | − | 1.13570i | −0.271434 | − | 0.0760522i | 0.131387 | − | 0.991331i | \(-0.458057\pi\) |
−0.402821 | + | 0.915279i | \(0.631970\pi\) | |||||||
\(224\) | −0.637633 | − | 0.682738i | −0.0426036 | − | 0.0456173i | ||||
\(225\) | −0.545952 | + | 2.62727i | −0.0363968 | + | 0.175151i | ||||
\(226\) | −7.39287 | − | 14.2676i | −0.491766 | − | 0.949066i | ||||
\(227\) | 25.4357 | − | 11.0483i | 1.68823 | − | 0.733300i | 0.688257 | − | 0.725467i | \(-0.258376\pi\) |
0.999969 | − | 0.00783363i | \(-0.00249355\pi\) | |||||||
\(228\) | 0.172446 | + | 2.52108i | 0.0114205 | + | 0.166962i | ||||
\(229\) | 14.5611 | + | 6.32476i | 0.962222 | + | 0.417952i | 0.820305 | − | 0.571927i | \(-0.193804\pi\) |
0.141917 | + | 0.989879i | \(0.454673\pi\) | |||||||
\(230\) | −0.851483 | + | 2.39584i | −0.0561451 | + | 0.157977i | ||||
\(231\) | 0.401098 | − | 0.112382i | 0.0263903 | − | 0.00739422i | ||||
\(232\) | −10.1310 | − | 6.16082i | −0.665136 | − | 0.404478i | ||||
\(233\) | 22.3033 | − | 3.06551i | 1.46114 | − | 0.200828i | 0.638598 | − | 0.769540i | \(-0.279515\pi\) |
0.822537 | + | 0.568712i | \(0.192558\pi\) | |||||||
\(234\) | 13.2749 | 0.867807 | ||||||||
\(235\) | −2.55289 | − | 13.0622i | −0.166532 | − | 0.852087i | ||||
\(236\) | −2.08713 | −0.135861 | ||||||||
\(237\) | 8.93231 | − | 1.22772i | 0.580216 | − | 0.0797488i | ||||
\(238\) | −0.461218 | − | 0.280473i | −0.0298963 | − | 0.0181804i | ||||
\(239\) | −22.9984 | + | 6.44386i | −1.48765 | + | 0.416819i | −0.915158 | − | 0.403095i | \(-0.867934\pi\) |
−0.572487 | + | 0.819914i | \(0.694021\pi\) | |||||||
\(240\) | 4.52339 | − | 12.7276i | 0.291983 | − | 0.821563i | ||||
\(241\) | −4.09827 | − | 1.78013i | −0.263993 | − | 0.114668i | 0.262258 | − | 0.964998i | \(-0.415533\pi\) |
−0.526250 | + | 0.850330i | \(0.676403\pi\) | |||||||
\(242\) | 0.935375 | + | 13.6747i | 0.0601282 | + | 0.879043i | ||||
\(243\) | −17.3827 | + | 7.55037i | −1.11510 | + | 0.484357i | ||||
\(244\) | −1.31486 | − | 2.53757i | −0.0841754 | − | 0.162451i | ||||
\(245\) | 2.69323 | − | 12.9605i | 0.172064 | − | 0.828017i | ||||
\(246\) | 1.76302 | + | 1.88774i | 0.112406 | + | 0.120358i | ||||
\(247\) | −13.0444 | − | 3.65488i | −0.829998 | − | 0.232555i | ||||
\(248\) | −12.0542 | + | 17.0770i | −0.765446 | + | 1.08439i | ||||
\(249\) | −4.57256 | − | 22.0044i | −0.289775 | − | 1.39447i | ||||
\(250\) | −11.8922 | + | 9.67503i | −0.752129 | + | 0.611902i | ||||
\(251\) | −10.1997 | + | 6.20255i | −0.643796 | + | 0.391501i | −0.803198 | − | 0.595713i | \(-0.796870\pi\) |
0.159401 | + | 0.987214i | \(0.449044\pi\) | |||||||
\(252\) | 0.249593 | − | 0.267248i | 0.0157229 | − | 0.0168351i | ||||
\(253\) | 0.256087 | + | 0.362793i | 0.0161001 | + | 0.0228086i | ||||
\(254\) | 0.477295 | + | 1.34298i | 0.0299481 | + | 0.0842659i | ||||
\(255\) | −0.301520 | + | 4.40806i | −0.0188819 | + | 0.276044i | ||||
\(256\) | −4.16919 | + | 8.04618i | −0.260574 | + | 0.502886i | ||||
\(257\) | 4.23414 | + | 3.44473i | 0.264119 | + | 0.214876i | 0.753935 | − | 0.656949i | \(-0.228153\pi\) |
−0.489816 | + | 0.871826i | \(0.662936\pi\) | |||||||
\(258\) | 13.7166 | + | 1.88530i | 0.853959 | + | 0.117374i | ||||
\(259\) | 0.633093 | + | 0.0870166i | 0.0393385 | + | 0.00540695i | ||||
\(260\) | −2.85038 | − | 2.31895i | −0.176773 | − | 0.143815i | ||||
\(261\) | 3.91931 | − | 7.56393i | 0.242599 | − | 0.468196i | ||||
\(262\) | 1.70848 | − | 24.9771i | 0.105550 | − | 1.54309i | ||||
\(263\) | 4.63030 | + | 13.0284i | 0.285517 | + | 0.803367i | 0.995112 | + | 0.0987573i | \(0.0314867\pi\) |
−0.709595 | + | 0.704610i | \(0.751122\pi\) | |||||||
\(264\) | −1.71097 | − | 2.42390i | −0.105303 | − | 0.149180i | ||||
\(265\) | 17.1907 | − | 18.4067i | 1.05602 | − | 1.13072i | ||||
\(266\) | 1.30017 | − | 0.790653i | 0.0797187 | − | 0.0484780i | ||||
\(267\) | −6.85157 | + | 5.57417i | −0.419309 | + | 0.341133i | ||||
\(268\) | 0.326979 | + | 1.57351i | 0.0199734 | + | 0.0961174i | ||||
\(269\) | −2.07167 | + | 2.93489i | −0.126312 | + | 0.178944i | −0.875212 | − | 0.483740i | \(-0.839278\pi\) |
0.748900 | + | 0.662683i | \(0.230582\pi\) | |||||||
\(270\) | −4.42291 | − | 1.23924i | −0.269170 | − | 0.0754178i | ||||
\(271\) | −9.43329 | − | 10.1006i | −0.573032 | − | 0.613567i | 0.376813 | − | 0.926289i | \(-0.377020\pi\) |
−0.949845 | + | 0.312722i | \(0.898759\pi\) | |||||||
\(272\) | −0.621991 | + | 2.99319i | −0.0377138 | + | 0.181489i | ||||
\(273\) | 2.14318 | + | 4.13615i | 0.129711 | + | 0.250331i | ||||
\(274\) | −10.9797 | + | 4.76914i | −0.663306 | + | 0.288115i | ||||
\(275\) | 0.0360997 | + | 0.527759i | 0.00217690 | + | 0.0318251i | ||||
\(276\) | 0.849694 | + | 0.369074i | 0.0511455 | + | 0.0222156i | ||||
\(277\) | 0.261999 | − | 0.737195i | 0.0157420 | − | 0.0442937i | −0.934130 | − | 0.356934i | \(-0.883822\pi\) |
0.949872 | + | 0.312640i | \(0.101213\pi\) | |||||||
\(278\) | 5.94090 | − | 1.66456i | 0.356311 | − | 0.0998338i | ||||
\(279\) | −12.8317 | − | 7.80313i | −0.768213 | − | 0.467161i | ||||
\(280\) | 2.48531 | − | 0.341598i | 0.148526 | − | 0.0204144i | ||||
\(281\) | −8.29683 | −0.494947 | −0.247474 | − | 0.968895i | \(-0.579600\pi\) | ||||
−0.247474 | + | 0.968895i | \(0.579600\pi\) | |||||||
\(282\) | 19.6203 | − | 2.45966i | 1.16837 | − | 0.146470i | ||||
\(283\) | 20.1204 | 1.19603 | 0.598016 | − | 0.801484i | \(-0.295956\pi\) | ||||
0.598016 | + | 0.801484i | \(0.295956\pi\) | |||||||
\(284\) | 4.22176 | − | 0.580267i | 0.250515 | − | 0.0344325i | ||||
\(285\) | −10.6421 | − | 6.47160i | −0.630384 | − | 0.383345i | ||||
\(286\) | 2.51991 | − | 0.706046i | 0.149006 | − | 0.0417494i | ||||
\(287\) | −0.127736 | + | 0.359413i | −0.00753999 | + | 0.0212155i | ||||
\(288\) | −4.38488 | − | 1.90462i | −0.258381 | − | 0.112231i | ||||
\(289\) | −0.0682424 | − | 0.997669i | −0.00401426 | − | 0.0586864i | ||||
\(290\) | 8.81984 | − | 3.83100i | 0.517919 | − | 0.224964i | ||||
\(291\) | 11.4567 | + | 22.1105i | 0.671607 | + | 1.29614i | ||||
\(292\) | −1.28857 | + | 6.20095i | −0.0754080 | + | 0.362883i | ||||
\(293\) | 17.0690 | + | 18.2764i | 0.997182 | + | 1.06772i | 0.997704 | + | 0.0677213i | \(0.0215729\pi\) |
−0.000522292 | 1.00000i | \(0.500166\pi\) | ||||||||
\(294\) | 18.9376 | + | 5.30608i | 1.10447 | + | 0.309457i | ||||
\(295\) | 5.93255 | − | 8.40451i | 0.345406 | − | 0.489329i | ||||
\(296\) | −0.926079 | − | 4.45654i | −0.0538272 | − | 0.259031i | ||||
\(297\) | −0.622278 | + | 0.506261i | −0.0361082 | + | 0.0293762i | ||||
\(298\) | 7.16720 | − | 4.35847i | 0.415185 | − | 0.252480i | ||||
\(299\) | −3.38974 | + | 3.62953i | −0.196034 | + | 0.209901i | ||||
\(300\) | 0.636392 | + | 0.901563i | 0.0367421 | + | 0.0520517i | ||||
\(301\) | 0.684701 | + | 1.92656i | 0.0394655 | + | 0.111045i | ||||
\(302\) | 0.510307 | − | 7.46042i | 0.0293649 | − | 0.429299i | ||||
\(303\) | −17.8765 | + | 34.5000i | −1.02698 | + | 1.98197i | ||||
\(304\) | −6.68511 | − | 5.43874i | −0.383418 | − | 0.311933i | ||||
\(305\) | 13.9558 | + | 1.91818i | 0.799105 | + | 0.109834i | ||||
\(306\) | −2.73669 | − | 0.376149i | −0.156446 | − | 0.0215030i | ||||
\(307\) | 11.0659 | + | 9.00277i | 0.631563 | + | 0.513815i | 0.892211 | − | 0.451619i | \(-0.149153\pi\) |
−0.260647 | + | 0.965434i | \(0.583936\pi\) | |||||||
\(308\) | 0.0331650 | − | 0.0640056i | 0.00188975 | − | 0.00364705i | ||||
\(309\) | 1.89543 | − | 27.7102i | 0.107827 | − | 1.57638i | ||||
\(310\) | −5.67678 | − | 15.9729i | −0.322419 | − | 0.907201i | ||||
\(311\) | −0.341187 | − | 0.483352i | −0.0193469 | − | 0.0274084i | 0.807181 | − | 0.590303i | \(-0.200992\pi\) |
−0.826528 | + | 0.562895i | \(0.809688\pi\) | |||||||
\(312\) | 22.6476 | − | 24.2496i | 1.28217 | − | 1.37287i | ||||
\(313\) | −1.12710 | + | 0.685402i | −0.0637072 | + | 0.0387412i | −0.551076 | − | 0.834455i | \(-0.685783\pi\) |
0.487369 | + | 0.873196i | \(0.337957\pi\) | |||||||
\(314\) | −3.41737 | + | 2.78024i | −0.192853 | + | 0.156898i | ||||
\(315\) | 0.366710 | + | 1.76470i | 0.0206618 | + | 0.0994298i | ||||
\(316\) | 0.899833 | − | 1.27477i | 0.0506196 | − | 0.0717116i | ||||
\(317\) | −12.2554 | − | 3.43380i | −0.688331 | − | 0.192861i | −0.0921903 | − | 0.995741i | \(-0.529387\pi\) |
−0.596140 | + | 0.802880i | \(0.703300\pi\) | |||||||
\(318\) | 25.5404 | + | 27.3471i | 1.43224 | + | 1.53355i | ||||
\(319\) | 0.341686 | − | 1.64428i | 0.0191307 | − | 0.0920621i | ||||
\(320\) | −7.94360 | − | 15.3305i | −0.444061 | − | 0.856998i | ||||
\(321\) | −6.15844 | + | 2.67499i | −0.343731 | + | 0.149303i | ||||
\(322\) | −0.0380696 | − | 0.556557i | −0.00212153 | − | 0.0310157i | ||||
\(323\) | 2.58562 | + | 1.12309i | 0.143868 | + | 0.0624905i | ||||
\(324\) | −1.42292 | + | 4.00372i | −0.0790513 | + | 0.222429i | ||||
\(325\) | −5.69660 | + | 1.59611i | −0.315991 | + | 0.0885364i | ||||
\(326\) | 6.17449 | + | 3.75479i | 0.341973 | + | 0.207958i | ||||
\(327\) | −0.307015 | + | 0.0421983i | −0.0169780 | + | 0.00233357i | ||||
\(328\) | 2.71687 | 0.150014 | ||||||||
\(329\) | 1.65549 | + | 2.40545i | 0.0912702 | + | 0.132617i | ||||
\(330\) | 2.40611 | 0.132452 | ||||||||
\(331\) | −0.722420 | + | 0.0992944i | −0.0397078 | + | 0.00545771i | −0.155993 | − | 0.987758i | \(-0.549858\pi\) |
0.116285 | + | 0.993216i | \(0.462901\pi\) | |||||||
\(332\) | −3.32322 | − | 2.02090i | −0.182386 | − | 0.110911i | ||||
\(333\) | 3.14901 | − | 0.882312i | 0.172565 | − | 0.0483504i | ||||
\(334\) | 3.75609 | − | 10.5686i | 0.205524 | − | 0.578289i | ||||
\(335\) | −7.26567 | − | 3.15592i | −0.396966 | − | 0.172427i | ||||
\(336\) | 0.202239 | + | 2.95663i | 0.0110331 | + | 0.161298i | ||||
\(337\) | −24.1918 | + | 10.5080i | −1.31781 | + | 0.572407i | −0.936055 | − | 0.351855i | \(-0.885551\pi\) |
−0.381759 | + | 0.924262i | \(0.624682\pi\) | |||||||
\(338\) | 5.88487 | + | 11.3573i | 0.320095 | + | 0.617755i | ||||
\(339\) | 5.87119 | − | 28.2537i | 0.318879 | − | 1.53453i | ||||
\(340\) | 0.521912 | + | 0.558831i | 0.0283046 | + | 0.0303069i | ||||
\(341\) | −2.85080 | − | 0.798758i | −0.154380 | − | 0.0432552i | ||||
\(342\) | 4.49075 | − | 6.36195i | 0.242832 | − | 0.344015i | ||||
\(343\) | 1.19751 | + | 5.76273i | 0.0646594 | + | 0.311158i | ||||
\(344\) | 11.2969 | − | 9.19069i | 0.609087 | − | 0.495529i | ||||
\(345\) | −3.90140 | + | 2.37250i | −0.210044 | + | 0.127731i | ||||
\(346\) | −4.88221 | + | 5.22757i | −0.262469 | + | 0.281036i | ||||
\(347\) | 10.4673 | + | 14.8288i | 0.561915 | + | 0.796053i | 0.994410 | − | 0.105584i | \(-0.0336710\pi\) |
−0.432495 | + | 0.901636i | \(0.642367\pi\) | |||||||
\(348\) | −1.17324 | − | 3.30117i | −0.0628921 | − | 0.176961i | ||||
\(349\) | −0.870276 | + | 12.7230i | −0.0465848 | + | 0.681046i | 0.914464 | + | 0.404667i | \(0.132613\pi\) |
−0.961049 | + | 0.276379i | \(0.910866\pi\) | |||||||
\(350\) | 0.305731 | − | 0.590034i | 0.0163420 | − | 0.0315387i | ||||
\(351\) | −6.95924 | − | 5.66176i | −0.371457 | − | 0.302203i | ||||
\(352\) | −0.933662 | − | 0.128329i | −0.0497644 | − | 0.00683995i | ||||
\(353\) | 27.4495 | + | 3.77285i | 1.46099 | + | 0.200809i | 0.822476 | − | 0.568800i | \(-0.192592\pi\) |
0.638516 | + | 0.769609i | \(0.279549\pi\) | |||||||
\(354\) | 11.8561 | + | 9.64563i | 0.630143 | + | 0.512660i | ||||
\(355\) | −9.66347 | + | 18.6497i | −0.512884 | + | 0.989821i | ||||
\(356\) | −0.104314 | + | 1.52502i | −0.00552864 | + | 0.0808259i | ||||
\(357\) | −0.324628 | − | 0.913416i | −0.0171811 | − | 0.0483431i | ||||
\(358\) | −5.20565 | − | 7.37473i | −0.275127 | − | 0.389766i | ||||
\(359\) | 17.3204 | − | 18.5456i | 0.914134 | − | 0.978798i | −0.0857128 | − | 0.996320i | \(-0.527317\pi\) |
0.999846 | + | 0.0175217i | \(0.00557762\pi\) | |||||||
\(360\) | 10.9691 | − | 6.67043i | 0.578120 | − | 0.351563i | ||||
\(361\) | 8.57413 | − | 6.97557i | 0.451270 | − | 0.367135i | ||||
\(362\) | −3.13500 | − | 15.0865i | −0.164772 | − | 0.792926i | ||||
\(363\) | −14.1948 | + | 20.1094i | −0.745033 | + | 1.05547i | ||||
\(364\) | 0.776296 | + | 0.217508i | 0.0406890 | + | 0.0114005i | ||||
\(365\) | −21.3075 | − | 22.8147i | −1.11528 | − | 1.19418i | ||||
\(366\) | −4.25817 | + | 20.4914i | −0.222578 | + | 1.07110i | ||||
\(367\) | 1.15981 | + | 2.23833i | 0.0605416 | + | 0.116840i | 0.916232 | − | 0.400648i | \(-0.131215\pi\) |
−0.855690 | + | 0.517488i | \(0.826867\pi\) | |||||||
\(368\) | −2.89782 | + | 1.25870i | −0.151059 | + | 0.0656143i | ||||
\(369\) | 0.133208 | + | 1.94744i | 0.00693455 | + | 0.101380i | ||||
\(370\) | 3.38575 | + | 1.47064i | 0.176017 | + | 0.0764549i | ||||
\(371\) | −1.85047 | + | 5.20672i | −0.0960716 | + | 0.270319i | ||||
\(372\) | −5.94713 | + | 1.66631i | −0.308345 | + | 0.0863941i | ||||
\(373\) | 11.7523 | + | 7.14673i | 0.608510 | + | 0.370043i | 0.789780 | − | 0.613390i | \(-0.210195\pi\) |
−0.181270 | + | 0.983433i | \(0.558021\pi\) | |||||||
\(374\) | −0.539499 | + | 0.0741524i | −0.0278968 | + | 0.00383433i | ||||
\(375\) | −27.5312 | −1.42170 | ||||||||
\(376\) | 12.1953 | − | 16.8484i | 0.628924 | − | 0.868889i | ||||
\(377\) | 18.7817 | 0.967304 | ||||||||
\(378\) | 0.998369 | − | 0.137223i | 0.0513506 | − | 0.00705797i | ||||
\(379\) | 4.88514 | + | 2.97072i | 0.250933 | + | 0.152596i | 0.639418 | − | 0.768859i | \(-0.279175\pi\) |
−0.388485 | + | 0.921455i | \(0.627001\pi\) | |||||||
\(380\) | −2.07560 | + | 0.581557i | −0.106476 | + | 0.0298332i | ||||
\(381\) | −0.857134 | + | 2.41174i | −0.0439123 | + | 0.123557i | ||||
\(382\) | −9.30345 | − | 4.04106i | −0.476006 | − | 0.206759i | ||||
\(383\) | 0.549719 | + | 8.03661i | 0.0280893 | + | 0.410651i | 0.990356 | + | 0.138544i | \(0.0442423\pi\) |
−0.962267 | + | 0.272107i | \(0.912279\pi\) | |||||||
\(384\) | 14.3722 | − | 6.24271i | 0.733427 | − | 0.318572i | ||||
\(385\) | 0.163470 | + | 0.315482i | 0.00833118 | + | 0.0160784i | ||||
\(386\) | −5.38759 | + | 25.9265i | −0.274221 | + | 1.31962i | ||||
\(387\) | 7.14172 | + | 7.64691i | 0.363034 | + | 0.388714i | ||||
\(388\) | 4.14983 | + | 1.16273i | 0.210676 | + | 0.0590286i | ||||
\(389\) | 16.4497 | − | 23.3039i | 0.834031 | − | 1.18155i | −0.147275 | − | 0.989096i | \(-0.547050\pi\) |
0.981305 | − | 0.192457i | \(-0.0616455\pi\) | |||||||
\(390\) | 5.47475 | + | 26.3459i | 0.277225 | + | 1.33408i | ||||
\(391\) | 0.801657 | − | 0.652196i | 0.0405415 | − | 0.0329830i | ||||
\(392\) | 17.6749 | − | 10.7483i | 0.892715 | − | 0.542872i | ||||
\(393\) | 30.6869 | − | 32.8577i | 1.54795 | − | 1.65745i | ||||
\(394\) | −7.28373 | − | 10.3187i | −0.366949 | − | 0.519849i | ||||
\(395\) | 2.57556 | + | 7.24694i | 0.129591 | + | 0.364633i | ||||
\(396\) | 0.0251750 | − | 0.368045i | 0.00126509 | − | 0.0184950i | ||||
\(397\) | −11.7986 | + | 22.7703i | −0.592155 | + | 1.14281i | 0.383509 | + | 0.923537i | \(0.374715\pi\) |
−0.975664 | + | 0.219270i | \(0.929632\pi\) | |||||||
\(398\) | 3.59888 | + | 2.92791i | 0.180396 | + | 0.146763i | ||||
\(399\) | 2.70725 | + | 0.372103i | 0.135532 | + | 0.0186284i | ||||
\(400\) | −3.72851 | − | 0.512471i | −0.186425 | − | 0.0256236i | ||||
\(401\) | −27.3767 | − | 22.2726i | −1.36713 | − | 1.11224i | −0.981896 | − | 0.189423i | \(-0.939338\pi\) |
−0.385233 | − | 0.922819i | \(-0.625879\pi\) | |||||||
\(402\) | 5.41452 | − | 10.4495i | 0.270052 | − | 0.521176i | ||||
\(403\) | 2.25949 | − | 33.0326i | 0.112553 | − | 1.64547i | ||||
\(404\) | 2.25191 | + | 6.33626i | 0.112037 | + | 0.315241i | ||||
\(405\) | −12.0777 | − | 17.1102i | −0.600146 | − | 0.850213i | ||||
\(406\) | −1.44000 | + | 1.54187i | −0.0714662 | + | 0.0765216i | ||||
\(407\) | 0.550836 | − | 0.334971i | 0.0273039 | − | 0.0166039i | ||||
\(408\) | −5.35604 | + | 4.35746i | −0.265163 | + | 0.215726i | ||||
\(409\) | 4.20500 | + | 20.2355i | 0.207924 | + | 1.00058i | 0.945576 | + | 0.325402i | \(0.105500\pi\) |
−0.737652 | + | 0.675181i | \(0.764065\pi\) | |||||||
\(410\) | −1.27061 | + | 1.80005i | −0.0627510 | + | 0.0888979i | ||||
\(411\) | −20.7000 | − | 5.79988i | −1.02106 | − | 0.286087i | ||||
\(412\) | −3.28087 | − | 3.51295i | −0.161637 | − | 0.173071i | ||||
\(413\) | −0.459212 | + | 2.20985i | −0.0225963 | + | 0.108739i | ||||
\(414\) | −1.31340 | − | 2.53475i | −0.0645501 | − | 0.124576i | ||||
\(415\) | 17.5839 | − | 7.63776i | 0.863159 | − | 0.374923i | ||||
\(416\) | −0.719259 | − | 10.5152i | −0.0352646 | − | 0.515550i | ||||
\(417\) | 10.1624 | + | 4.41414i | 0.497653 | + | 0.216161i | ||||
\(418\) | 0.514089 | − | 1.44651i | 0.0251449 | − | 0.0707510i | ||||
\(419\) | 10.5464 | − | 2.95497i | 0.515226 | − | 0.144360i | −0.00234915 | − | 0.999997i | \(-0.500748\pi\) |
0.517575 | + | 0.855638i | \(0.326835\pi\) | |||||||
\(420\) | 0.633328 | + | 0.385136i | 0.0309033 | + | 0.0187927i | ||||
\(421\) | −1.11134 | + | 0.152750i | −0.0541634 | + | 0.00744459i | −0.163197 | − | 0.986593i | \(-0.552181\pi\) |
0.109034 | + | 0.994038i | \(0.465224\pi\) | |||||||
\(422\) | −25.1297 | −1.22329 | ||||||||
\(423\) | 12.6747 | + | 7.91544i | 0.616267 | + | 0.384862i | ||||
\(424\) | 39.3586 | 1.91142 | ||||||||
\(425\) | 1.21961 | − | 0.167632i | 0.0591598 | − | 0.00813133i | ||||
\(426\) | −26.6637 | − | 16.2145i | −1.29186 | − | 0.785596i | ||||
\(427\) | −2.97607 | + | 0.833855i | −0.144022 | + | 0.0403531i | ||||
\(428\) | −0.389125 | + | 1.09489i | −0.0188091 | + | 0.0529237i | ||||
\(429\) | 4.31050 | + | 1.87232i | 0.208113 | + | 0.0903963i | ||||
\(430\) | 0.805974 | + | 11.7829i | 0.0388675 | + | 0.568223i | ||||
\(431\) | 18.5881 | − | 8.07396i | 0.895359 | − | 0.388909i | 0.0999569 | − | 0.994992i | \(-0.468130\pi\) |
0.795402 | + | 0.606083i | \(0.207260\pi\) | |||||||
\(432\) | −2.62575 | − | 5.06746i | −0.126331 | − | 0.243808i | ||||
\(433\) | −3.65502 | + | 17.5889i | −0.175649 | + | 0.845270i | 0.795343 | + | 0.606159i | \(0.207291\pi\) |
−0.970992 | + | 0.239111i | \(0.923144\pi\) | |||||||
\(434\) | 2.53855 | + | 2.71812i | 0.121854 | + | 0.130474i | ||||
\(435\) | 16.6281 | + | 4.65897i | 0.797256 | + | 0.223381i | ||||
\(436\) | −0.0309285 | + | 0.0438157i | −0.00148121 | + | 0.00209839i | ||||
\(437\) | 0.592726 | + | 2.85235i | 0.0283539 | + | 0.136447i | ||||
\(438\) | 35.9774 | − | 29.2698i | 1.71907 | − | 1.39856i | ||||
\(439\) | 0.339716 | − | 0.206586i | 0.0162138 | − | 0.00985980i | −0.511454 | − | 0.859311i | \(-0.670893\pi\) |
0.527667 | + | 0.849451i | \(0.323067\pi\) | |||||||
\(440\) | 1.72743 | − | 1.84963i | 0.0823520 | − | 0.0881774i | ||||
\(441\) | 8.57092 | + | 12.1422i | 0.408139 | + | 0.578202i | ||||
\(442\) | −2.03949 | − | 5.73857i | −0.0970085 | − | 0.272956i | ||||
\(443\) | −2.57262 | + | 37.6103i | −0.122229 | + | 1.78692i | 0.382814 | + | 0.923825i | \(0.374955\pi\) |
−0.505043 | + | 0.863094i | \(0.668523\pi\) | |||||||
\(444\) | 0.618743 | − | 1.19412i | 0.0293643 | − | 0.0566704i | ||||
\(445\) | −5.84448 | − | 4.75484i | −0.277055 | − | 0.225401i | ||||
\(446\) | 5.28511 | + | 0.726422i | 0.250257 | + | 0.0343971i | ||||
\(447\) | 14.9237 | + | 2.05122i | 0.705868 | + | 0.0970193i | ||||
\(448\) | 2.93856 | + | 2.39069i | 0.138834 | + | 0.112950i | ||||
\(449\) | −7.78383 | + | 15.0221i | −0.367341 | + | 0.708937i | −0.997730 | − | 0.0673431i | \(-0.978548\pi\) |
0.630388 | + | 0.776280i | \(0.282896\pi\) | |||||||
\(450\) | 0.232075 | − | 3.39282i | 0.0109401 | − | 0.159939i | ||||
\(451\) | 0.128864 | + | 0.362588i | 0.00606797 | + | 0.0170736i | ||||
\(452\) | −2.87998 | − | 4.08001i | −0.135463 | − | 0.191907i | ||||
\(453\) | 9.16591 | − | 9.81429i | 0.430652 | − | 0.461116i | ||||
\(454\) | −30.0287 | + | 18.2608i | −1.40931 | + | 0.857023i | ||||
\(455\) | −3.08244 | + | 2.50775i | −0.144507 | + | 0.117565i | ||||
\(456\) | −3.96013 | − | 19.0572i | −0.185450 | − | 0.892434i | ||||
\(457\) | 7.42734 | − | 10.5221i | 0.347436 | − | 0.492205i | −0.605303 | − | 0.795995i | \(-0.706948\pi\) |
0.952739 | + | 0.303790i | \(0.0982522\pi\) | |||||||
\(458\) | −19.3733 | − | 5.42814i | −0.905254 | − | 0.253640i | ||||
\(459\) | 1.27426 | + | 1.36439i | 0.0594772 | + | 0.0636845i | ||||
\(460\) | −0.160775 | + | 0.773693i | −0.00749619 | + | 0.0360736i | ||||
\(461\) | 9.05033 | + | 17.4663i | 0.421516 | + | 0.813489i | 0.999998 | − | 0.00220662i | \(-0.000702388\pi\) |
−0.578482 | + | 0.815695i | \(0.696355\pi\) | |||||||
\(462\) | −0.484196 | + | 0.210316i | −0.0225269 | + | 0.00978479i | ||||
\(463\) | 0.802288 | + | 11.7290i | 0.0372855 | + | 0.545094i | 0.978362 | + | 0.206901i | \(0.0663377\pi\) |
−0.941076 | + | 0.338194i | \(0.890184\pi\) | |||||||
\(464\) | 10.9591 | + | 4.76021i | 0.508764 | + | 0.220987i | ||||
\(465\) | 10.1945 | − | 28.6845i | 0.472757 | − | 1.33021i | ||||
\(466\) | −27.4734 | + | 7.69767i | −1.27268 | + | 0.356588i | ||||
\(467\) | −6.07180 | − | 3.69235i | −0.280970 | − | 0.170861i | 0.372028 | − | 0.928222i | \(-0.378663\pi\) |
−0.652997 | + | 0.757360i | \(0.726489\pi\) | |||||||
\(468\) | 4.08722 | − | 0.561776i | 0.188932 | − | 0.0259681i | ||||
\(469\) | 1.73797 | 0.0802520 | ||||||||
\(470\) | 5.45936 | + | 15.9595i | 0.251821 | + | 0.736155i | ||||
\(471\) | −7.91142 | −0.364539 | ||||||||
\(472\) | 15.9267 | − | 2.18907i | 0.733084 | − | 0.100760i | ||||
\(473\) | 1.76239 | + | 1.07174i | 0.0810349 | + | 0.0492784i | ||||
\(474\) | −11.0029 | + | 3.08287i | −0.505380 | + | 0.141601i | ||||
\(475\) | −1.16217 | + | 3.27003i | −0.0533239 | + | 0.150039i | ||||
\(476\) | −0.153874 | − | 0.0668370i | −0.00705281 | − | 0.00306347i | ||||
\(477\) | 1.92975 | + | 28.2120i | 0.0883573 | + | 1.29174i | ||||
\(478\) | 27.7632 | − | 12.0593i | 1.26986 | − | 0.551577i | ||||
\(479\) | 10.9735 | + | 21.1778i | 0.501390 | + | 0.967640i | 0.995181 | + | 0.0980586i | \(0.0312633\pi\) |
−0.493790 | + | 0.869581i | \(0.664389\pi\) | |||||||
\(480\) | 1.97161 | − | 9.48792i | 0.0899913 | − | 0.433062i | ||||
\(481\) | 4.92113 | + | 5.26924i | 0.224384 | + | 0.240257i | ||||
\(482\) | 5.45269 | + | 1.52777i | 0.248363 | + | 0.0695881i | ||||
\(483\) | 0.577725 | − | 0.818449i | 0.0262874 | − | 0.0372407i | ||||
\(484\) | 0.866689 | + | 4.17074i | 0.0393950 | + | 0.189579i | ||||
\(485\) | −16.4778 | + | 13.4057i | −0.748217 | + | 0.608719i | ||||
\(486\) | 20.5215 | − | 12.4794i | 0.930875 | − | 0.566077i | ||||
\(487\) | 3.37397 | − | 3.61264i | 0.152889 | − | 0.163704i | −0.649793 | − | 0.760111i | \(-0.725145\pi\) |
0.802682 | + | 0.596407i | \(0.203405\pi\) | |||||||
\(488\) | 12.6951 | + | 17.9848i | 0.574679 | + | 0.814135i | ||||
\(489\) | 4.34591 | + | 12.2282i | 0.196529 | + | 0.552979i | ||||
\(490\) | −1.14485 | + | 16.7371i | −0.0517189 | + | 0.756104i | ||||
\(491\) | −10.3030 | + | 19.8838i | −0.464966 | + | 0.897343i | 0.533699 | + | 0.845675i | \(0.320802\pi\) |
−0.998664 | + | 0.0516682i | \(0.983546\pi\) | |||||||
\(492\) | 0.622706 | + | 0.506609i | 0.0280738 | + | 0.0228397i | ||||
\(493\) | −3.87194 | − | 0.532185i | −0.174383 | − | 0.0239684i | ||||
\(494\) | 17.0084 | + | 2.33775i | 0.765243 | + | 0.105180i | ||||
\(495\) | 1.41050 | + | 1.14752i | 0.0633971 | + | 0.0515773i | ||||
\(496\) | 9.69052 | − | 18.7019i | 0.435117 | − | 0.839738i | ||||
\(497\) | 0.314488 | − | 4.59766i | 0.0141067 | − | 0.206233i | ||||
\(498\) | 9.53825 | + | 26.8381i | 0.427419 | + | 1.20264i | ||||
\(499\) | −16.5221 | − | 23.4065i | −0.739632 | − | 1.04782i | −0.996680 | − | 0.0814213i | \(-0.974054\pi\) |
0.257048 | − | 0.966399i | \(-0.417250\pi\) | |||||||
\(500\) | −3.25207 | + | 3.48212i | −0.145437 | + | 0.155725i | ||||
\(501\) | 17.2100 | − | 10.4656i | 0.768885 | − | 0.467569i | ||||
\(502\) | 11.7356 | − | 9.54761i | 0.523785 | − | 0.426131i | ||||
\(503\) | −5.70329 | − | 27.4457i | −0.254297 | − | 1.22374i | −0.891490 | − | 0.453040i | \(-0.850339\pi\) |
0.637193 | − | 0.770704i | \(-0.280095\pi\) | |||||||
\(504\) | −1.62431 | + | 2.30113i | −0.0723526 | + | 0.102500i | ||||
\(505\) | −31.9159 | − | 8.94242i | −1.42024 | − | 0.397933i | ||||
\(506\) | −0.384131 | − | 0.411304i | −0.0170767 | − | 0.0182847i | ||||
\(507\) | −4.67359 | + | 22.4905i | −0.207561 | + | 0.998840i | ||||
\(508\) | 0.203788 | + | 0.393293i | 0.00904163 | + | 0.0174495i | ||||
\(509\) | −13.2773 | + | 5.76714i | −0.588505 | + | 0.255624i | −0.671595 | − | 0.740918i | \(-0.734391\pi\) |
0.0830902 | + | 0.996542i | \(0.473521\pi\) | |||||||
\(510\) | −0.382126 | − | 5.58648i | −0.0169208 | − | 0.247373i | ||||
\(511\) | 6.28204 | + | 2.72867i | 0.277901 | + | 0.120709i | ||||
\(512\) | 8.45727 | − | 23.7965i | 0.373762 | − | 1.05167i | ||||
\(513\) | −5.06762 | + | 1.41988i | −0.223741 | + | 0.0626892i | ||||
\(514\) | −5.91054 | − | 3.59428i | −0.260703 | − | 0.158537i | ||||
\(515\) | 23.4717 | − | 3.22612i | 1.03429 | − | 0.142160i | ||||
\(516\) | 4.30301 | 0.189429 | ||||||||
\(517\) | 2.82699 | + | 0.828425i | 0.124331 | + | 0.0364341i | ||||
\(518\) | −0.809882 | −0.0355842 | ||||||||
\(519\) | −12.7256 | + | 1.74909i | −0.558592 | + | 0.0767767i | ||||
\(520\) | 24.1831 | + | 14.7061i | 1.06050 | + | 0.644904i | ||||
\(521\) | −21.2638 | + | 5.95783i | −0.931583 | + | 0.261017i | −0.701922 | − | 0.712253i | \(-0.747675\pi\) |
−0.229661 | + | 0.973271i | \(0.573762\pi\) | |||||||
\(522\) | −3.61551 | + | 10.1731i | −0.158247 | + | 0.445264i | ||||
\(523\) | −7.25661 | − | 3.15199i | −0.317309 | − | 0.137827i | 0.233741 | − | 0.972299i | \(-0.424903\pi\) |
−0.551050 | + | 0.834472i | \(0.685773\pi\) | |||||||
\(524\) | −0.530971 | − | 7.76252i | −0.0231956 | − | 0.339107i | ||||
\(525\) | 1.09459 | − | 0.475448i | 0.0477719 | − | 0.0207503i | ||||
\(526\) | −8.06177 | − | 15.5585i | −0.351510 | − | 0.678384i | ||||
\(527\) | −1.40180 | + | 6.74581i | −0.0610632 | + | 0.293852i | ||||
\(528\) | 2.04064 | + | 2.18500i | 0.0888076 | + | 0.0950898i | ||||
\(529\) | −21.1187 | − | 5.91718i | −0.918204 | − | 0.257269i | ||||
\(530\) | −18.4070 | + | 26.0768i | −0.799548 | + | 1.13270i | ||||
\(531\) | 2.34999 | + | 11.3088i | 0.101981 | + | 0.490760i | ||||
\(532\) | 0.366853 | − | 0.298457i | 0.0159051 | − | 0.0129397i | ||||
\(533\) | −3.67698 | + | 2.23602i | −0.159268 | + | 0.0968528i | ||||
\(534\) | 7.64041 | − | 8.18089i | 0.330633 | − | 0.354022i | ||||
\(535\) | −3.30288 | − | 4.67911i | −0.142796 | − | 0.202296i | ||||
\(536\) | −4.14550 | − | 11.6643i | −0.179058 | − | 0.503822i | ||||
\(537\) | 1.10626 | − | 16.1729i | 0.0477386 | − | 0.697913i | ||||
\(538\) | 2.09458 | − | 4.04235i | 0.0903036 | − | 0.174278i | ||||
\(539\) | 2.27278 | + | 1.84905i | 0.0978957 | + | 0.0796441i | ||||
\(540\) | −1.41422 | − | 0.194380i | −0.0608583 | − | 0.00836478i | ||||
\(541\) | 7.24734 | + | 0.996124i | 0.311588 | + | 0.0428267i | 0.290266 | − | 0.956946i | \(-0.406256\pi\) |
0.0213214 | + | 0.999773i | \(0.493213\pi\) | |||||||
\(542\) | 13.5868 | + | 11.0537i | 0.583603 | + | 0.474797i | ||||
\(543\) | 12.7306 | − | 24.5689i | 0.546322 | − | 1.05435i | ||||
\(544\) | −0.149673 | + | 2.18814i | −0.00641718 | + | 0.0938159i | ||||
\(545\) | −0.0885256 | − | 0.249087i | −0.00379202 | − | 0.0106697i | ||||
\(546\) | −3.40459 | − | 4.82320i | −0.145703 | − | 0.206414i | ||||
\(547\) | −3.06899 | + | 3.28609i | −0.131221 | + | 0.140503i | −0.793062 | − | 0.609141i | \(-0.791514\pi\) |
0.661841 | + | 0.749644i | \(0.269775\pi\) | |||||||
\(548\) | −3.17872 | + | 1.93302i | −0.135788 | + | 0.0825747i | ||||
\(549\) | −12.2690 | + | 9.98155i | −0.523627 | + | 0.426002i | ||||
\(550\) | −0.136399 | − | 0.656387i | −0.00581606 | − | 0.0279884i | ||||
\(551\) | 6.35363 | − | 9.00105i | 0.270674 | − | 0.383458i | ||||
\(552\) | −6.87102 | − | 1.92517i | −0.292450 | − | 0.0819406i | ||||
\(553\) | −1.15174 | − | 1.23322i | −0.0489772 | − | 0.0524417i | ||||
\(554\) | −0.201731 | + | 0.970782i | −0.00857072 | + | 0.0412446i | ||||
\(555\) | 3.04977 | + | 5.88579i | 0.129456 | + | 0.249838i | ||||
\(556\) | 1.75871 | − | 0.763915i | 0.0745859 | − | 0.0323972i | ||||
\(557\) | −1.63407 | − | 23.8893i | −0.0692378 | − | 1.01222i | −0.894383 | − | 0.447301i | \(-0.852385\pi\) |
0.825146 | − | 0.564920i | \(-0.191093\pi\) | |||||||
\(558\) | 17.4571 | + | 7.58270i | 0.739019 | + | 0.321001i | ||||
\(559\) | −7.72499 | + | 21.7360i | −0.326732 | + | 0.919336i | ||||
\(560\) | −2.43420 | + | 0.682031i | −0.102864 | + | 0.0288211i | ||||
\(561\) | −0.835580 | − | 0.508128i | −0.0352782 | − | 0.0214532i | ||||
\(562\) | 10.4169 | − | 1.43177i | 0.439411 | − | 0.0603956i | ||||
\(563\) | −11.0187 | −0.464384 | −0.232192 | − | 0.972670i | \(-0.574590\pi\) | ||||
−0.232192 | + | 0.972670i | \(0.574590\pi\) | |||||||
\(564\) | 5.93684 | − | 1.58761i | 0.249986 | − | 0.0668506i | ||||
\(565\) | 24.6157 | 1.03559 | ||||||||
\(566\) | −25.2617 | + | 3.47214i | −1.06183 | + | 0.145945i | ||||
\(567\) | 3.92606 | + | 2.38749i | 0.164879 | + | 0.100265i | ||||
\(568\) | −31.6071 | + | 8.85591i | −1.32621 | + | 0.371586i | ||||
\(569\) | 12.6129 | − | 35.4893i | 0.528760 | − | 1.48779i | −0.313960 | − | 0.949436i | \(-0.601656\pi\) |
0.842720 | − | 0.538352i | \(-0.180953\pi\) | |||||||
\(570\) | 14.4783 | + | 6.28879i | 0.606427 | + | 0.263408i | ||||
\(571\) | −0.444754 | − | 6.50207i | −0.0186124 | − | 0.272103i | −0.997655 | − | 0.0684467i | \(-0.978196\pi\) |
0.979042 | − | 0.203657i | \(-0.0652826\pi\) | |||||||
\(572\) | 0.745980 | − | 0.324025i | 0.0311910 | − | 0.0135482i | ||||
\(573\) | −8.38024 | − | 16.1731i | −0.350089 | − | 0.675642i | ||||
\(574\) | 0.0983522 | − | 0.473297i | 0.00410514 | − | 0.0197550i | ||||
\(575\) | 0.868380 | + | 0.929808i | 0.0362140 | + | 0.0387757i | ||||
\(576\) | 18.6671 | + | 5.23028i | 0.777796 | + | 0.217928i | ||||
\(577\) | −22.1483 | + | 31.3770i | −0.922047 | + | 1.30624i | 0.0297635 | + | 0.999557i | \(0.490525\pi\) |
−0.951811 | + | 0.306686i | \(0.900780\pi\) | |||||||
\(578\) | 0.257846 | + | 1.24082i | 0.0107250 | + | 0.0516115i | ||||
\(579\) | −36.8881 | + | 30.0107i | −1.53302 | + | 1.24720i | ||||
\(580\) | 2.55343 | − | 1.55277i | 0.106025 | − | 0.0644755i | ||||
\(581\) | −2.87090 | + | 3.07398i | −0.119105 | + | 0.127530i | ||||
\(582\) | −18.1998 | − | 25.7833i | −0.754408 | − | 1.06875i | ||||
\(583\) | 1.86682 | + | 5.25272i | 0.0773156 | + | 0.217545i | ||||
\(584\) | 3.32914 | − | 48.6703i | 0.137761 | − | 2.01399i | ||||
\(585\) | −9.35553 | + | 18.0553i | −0.386803 | + | 0.746497i | ||||
\(586\) | −24.5846 | − | 20.0010i | −1.01558 | − | 0.826234i | ||||
\(587\) | −17.5032 | − | 2.40575i | −0.722433 | − | 0.0992961i | −0.234423 | − | 0.972135i | \(-0.575320\pi\) |
−0.488009 | + | 0.872838i | \(0.662277\pi\) | |||||||
\(588\) | 6.05528 | + | 0.832279i | 0.249716 | + | 0.0343226i | ||||
\(589\) | −15.0664 | − | 12.2574i | −0.620800 | − | 0.505058i | ||||
\(590\) | −5.99813 | + | 11.5759i | −0.246939 | + | 0.476571i | ||||
\(591\) | 1.54787 | − | 22.6291i | 0.0636710 | − | 0.930837i | ||||
\(592\) | 1.53599 | + | 4.32187i | 0.0631289 | + | 0.177628i | ||||
\(593\) | −1.35739 | − | 1.92298i | −0.0557412 | − | 0.0789673i | 0.788145 | − | 0.615490i | \(-0.211042\pi\) |
−0.843886 | + | 0.536523i | \(0.819738\pi\) | |||||||
\(594\) | 0.693923 | − | 0.743010i | 0.0284720 | − | 0.0304861i | ||||
\(595\) | 0.706520 | − | 0.429644i | 0.0289645 | − | 0.0176137i | ||||
\(596\) | 2.02228 | − | 1.64524i | 0.0828356 | − | 0.0673918i | ||||
\(597\) | 1.69512 | + | 8.15736i | 0.0693766 | + | 0.333858i | ||||
\(598\) | 3.62957 | − | 5.14193i | 0.148424 | − | 0.210269i | ||||
\(599\) | −10.5123 | − | 2.94540i | −0.429520 | − | 0.120346i | 0.0482408 | − | 0.998836i | \(-0.484639\pi\) |
−0.477761 | + | 0.878490i | \(0.658552\pi\) | |||||||
\(600\) | −5.80183 | − | 6.21225i | −0.236859 | − | 0.253614i | ||||
\(601\) | 3.43940 | − | 16.5513i | 0.140296 | − | 0.675141i | −0.848901 | − | 0.528551i | \(-0.822735\pi\) |
0.989197 | − | 0.146590i | \(-0.0468298\pi\) | |||||||
\(602\) | −1.19213 | − | 2.30070i | −0.0485874 | − | 0.0937694i | ||||
\(603\) | 8.15766 | − | 3.54337i | 0.332206 | − | 0.144297i | ||||
\(604\) | −0.158596 | − | 2.31859i | −0.00645319 | − | 0.0943422i | ||||
\(605\) | −19.2583 | − | 8.36508i | −0.782963 | − | 0.340089i | ||||
\(606\) | 16.4908 | − | 46.4007i | 0.669893 | − | 1.88490i | ||||
\(607\) | 9.69866 | − | 2.71744i | 0.393657 | − | 0.110297i | −0.0672719 | − | 0.997735i | \(-0.521429\pi\) |
0.460928 | + | 0.887437i | \(0.347516\pi\) | |||||||
\(608\) | −5.28269 | − | 3.21248i | −0.214242 | − | 0.130283i | ||||
\(609\) | −3.75341 | + | 0.515894i | −0.152096 | + | 0.0209051i | ||||
\(610\) | −17.8529 | −0.722842 | ||||||||
\(611\) | −2.63852 | + | 32.8393i | −0.106743 | + | 1.32853i | ||||
\(612\) | −0.858520 | −0.0347036 | ||||||||
\(613\) | 20.9154 | − | 2.87476i | 0.844766 | − | 0.116110i | 0.299213 | − | 0.954186i | \(-0.403276\pi\) |
0.545553 | + | 0.838076i | \(0.316320\pi\) | |||||||
\(614\) | −15.4471 | − | 9.39360i | −0.623395 | − | 0.379095i | ||||
\(615\) | −3.81003 | + | 1.06752i | −0.153635 | + | 0.0430466i | ||||
\(616\) | −0.185947 | + | 0.523204i | −0.00749201 | + | 0.0210805i | ||||
\(617\) | −28.4443 | − | 12.3551i | −1.14513 | − | 0.497398i | −0.261320 | − | 0.965252i | \(-0.584158\pi\) |
−0.883806 | + | 0.467854i | \(0.845027\pi\) | |||||||
\(618\) | 2.40214 | + | 35.1180i | 0.0966282 | + | 1.41265i | ||||
\(619\) | −31.1296 | + | 13.5215i | −1.25120 | + | 0.543474i | −0.916947 | − | 0.399008i | \(-0.869355\pi\) |
−0.334256 | + | 0.942482i | \(0.608485\pi\) | |||||||
\(620\) | −2.42378 | − | 4.67769i | −0.0973415 | − | 0.187861i | ||||
\(621\) | −0.392536 | + | 1.88898i | −0.0157519 | + | 0.0758023i | ||||
\(622\) | 0.511781 | + | 0.547984i | 0.0205206 | + | 0.0219722i | ||||
\(623\) | 1.59174 | + | 0.445983i | 0.0637715 | + | 0.0178679i | ||||
\(624\) | −19.2816 | + | 27.3158i | −0.771882 | + | 1.09351i | ||||
\(625\) | −3.52570 | − | 16.9666i | −0.141028 | − | 0.678664i | ||||
\(626\) | 1.29682 | − | 1.05504i | 0.0518314 | − | 0.0421680i | ||||
\(627\) | 2.35550 | − | 1.43241i | 0.0940696 | − | 0.0572050i | ||||
\(628\) | −0.934523 | + | 1.00063i | −0.0372915 | + | 0.0399295i | ||||
\(629\) | −0.865210 | − | 1.22572i | −0.0344982 | − | 0.0488728i | ||||
\(630\) | −0.764947 | − | 2.15235i | −0.0304762 | − | 0.0857518i | ||||
\(631\) | 2.41009 | − | 35.2343i | 0.0959443 | − | 1.40266i | −0.661592 | − | 0.749864i | \(-0.730119\pi\) |
0.757537 | − | 0.652793i | \(-0.226403\pi\) | |||||||
\(632\) | −5.52949 | + | 10.6714i | −0.219951 | + | 0.424487i | ||||
\(633\) | −35.0065 | − | 28.4799i | −1.39138 | − | 1.13198i | ||||
\(634\) | 15.9795 | + | 2.19634i | 0.634629 | + | 0.0872277i | ||||
\(635\) | −2.16298 | − | 0.297294i | −0.0858351 | − | 0.0117978i | ||||
\(636\) | 9.02097 | + | 7.33910i | 0.357705 | + | 0.291014i | ||||
\(637\) | −15.0749 | + | 29.0933i | −0.597290 | + | 1.15272i | ||||
\(638\) | −0.145245 | + | 2.12341i | −0.00575031 | + | 0.0840665i | ||||
\(639\) | −7.89756 | − | 22.2216i | −0.312423 | − | 0.879073i | ||||
\(640\) | 7.70804 | + | 10.9198i | 0.304687 | + | 0.431643i | ||||
\(641\) | 28.6198 | − | 30.6443i | 1.13041 | − | 1.21038i | 0.155491 | − | 0.987837i | \(-0.450304\pi\) |
0.974923 | − | 0.222541i | \(-0.0714350\pi\) | |||||||
\(642\) | 7.27048 | − | 4.42128i | 0.286943 | − | 0.174494i | ||||
\(643\) | −15.1173 | + | 12.2988i | −0.596168 | + | 0.485019i | −0.880717 | − | 0.473643i | \(-0.842939\pi\) |
0.284549 | + | 0.958662i | \(0.408156\pi\) | |||||||
\(644\) | −0.0352741 | − | 0.169748i | −0.00138999 | − | 0.00668901i | ||||
\(645\) | −12.2311 | + | 17.3275i | −0.481597 | + | 0.682268i | ||||
\(646\) | −3.44013 | − | 0.963878i | −0.135350 | − | 0.0379233i | ||||
\(647\) | −13.5641 | − | 14.5236i | −0.533260 | − | 0.570982i | 0.406138 | − | 0.913812i | \(-0.366875\pi\) |
−0.939397 | + | 0.342830i | \(0.888614\pi\) | |||||||
\(648\) | 6.65889 | − | 32.0444i | 0.261586 | − | 1.25882i | ||||
\(649\) | 1.04757 | + | 2.02171i | 0.0411205 | + | 0.0793590i | ||||
\(650\) | 6.87681 | − | 2.98702i | 0.269731 | − | 0.117161i | ||||
\(651\) | 0.455791 | + | 6.66343i | 0.0178639 | + | 0.261160i | ||||
\(652\) | 2.05997 | + | 0.894770i | 0.0806746 | + | 0.0350419i | ||||
\(653\) | 2.28293 | − | 6.42356i | 0.0893381 | − | 0.251373i | −0.889172 | − | 0.457574i | \(-0.848719\pi\) |
0.978510 | + | 0.206200i | \(0.0661099\pi\) | |||||||
\(654\) | 0.378184 | − | 0.105962i | 0.0147882 | − | 0.00414345i | ||||
\(655\) | 32.7676 | + | 19.9264i | 1.28033 | + | 0.778589i | ||||
\(656\) | −2.71224 | + | 0.372789i | −0.105895 | + | 0.0145550i | ||||
\(657\) | 35.0498 | 1.36742 | ||||||||
\(658\) | −2.49362 | − | 2.73442i | −0.0972114 | − | 0.106599i | ||||
\(659\) | 43.4510 | 1.69261 | 0.846305 | − | 0.532698i | \(-0.178822\pi\) | ||||
0.846305 | + | 0.532698i | \(0.178822\pi\) | |||||||
\(660\) | 0.740821 | − | 0.101824i | 0.0288364 | − | 0.00396348i | ||||
\(661\) | −10.5569 | − | 6.41981i | −0.410617 | − | 0.249701i | 0.299052 | − | 0.954237i | \(-0.403329\pi\) |
−0.709669 | + | 0.704535i | \(0.751156\pi\) | |||||||
\(662\) | 0.889884 | − | 0.249334i | 0.0345863 | − | 0.00969063i | ||||
\(663\) | 3.66255 | − | 10.3054i | 0.142242 | − | 0.400229i | ||||
\(664\) | 27.4787 | + | 11.9357i | 1.06638 | + | 0.463195i | ||||
\(665\) | 0.159075 | + | 2.32560i | 0.00616867 | + | 0.0901828i | ||||
\(666\) | −3.80141 | + | 1.65119i | −0.147302 | + | 0.0639822i | ||||
\(667\) | −1.85823 | − | 3.58622i | −0.0719510 | − | 0.138859i | ||||
\(668\) | 0.709216 | − | 3.41294i | 0.0274404 | − | 0.132050i | ||||
\(669\) | 6.53908 | + | 7.00165i | 0.252815 | + | 0.270699i | ||||
\(670\) | 9.66686 | + | 2.70853i | 0.373463 | + | 0.104640i | ||||
\(671\) | −1.79808 | + | 2.54730i | −0.0694140 | + | 0.0983373i | ||||
\(672\) | 0.432571 | + | 2.08165i | 0.0166868 | + | 0.0803012i | ||||
\(673\) | 2.53798 | − | 2.06480i | 0.0978319 | − | 0.0795922i | −0.580916 | − | 0.813964i | \(-0.697306\pi\) |
0.678748 | + | 0.734371i | \(0.262523\pi\) | |||||||
\(674\) | 28.5602 | − | 17.3678i | 1.10010 | − | 0.668984i | ||||
\(675\) | −1.56871 | + | 1.67967i | −0.0603796 | + | 0.0646507i | ||||
\(676\) | 2.29253 | + | 3.24777i | 0.0881741 | + | 0.124914i | ||||
\(677\) | 3.10998 | + | 8.75065i | 0.119526 | + | 0.336315i | 0.986898 | − | 0.161346i | \(-0.0515837\pi\) |
−0.867372 | + | 0.497661i | \(0.834192\pi\) | |||||||
\(678\) | −2.49575 | + | 36.4865i | −0.0958486 | + | 1.40126i | ||||
\(679\) | 2.14414 | − | 4.13800i | 0.0822846 | − | 0.158802i | ||||
\(680\) | −4.56877 | − | 3.71697i | −0.175204 | − | 0.142539i | ||||
\(681\) | −62.5263 | − | 8.59405i | −2.39601 | − | 0.329325i | ||||
\(682\) | 3.71711 | + | 0.510904i | 0.142335 | + | 0.0195635i | ||||
\(683\) | −17.3855 | − | 14.1442i | −0.665240 | − | 0.541213i | 0.237507 | − | 0.971386i | \(-0.423670\pi\) |
−0.902746 | + | 0.430173i | \(0.858452\pi\) | |||||||
\(684\) | 1.11343 | − | 2.14883i | 0.0425732 | − | 0.0821626i | ||||
\(685\) | 1.25139 | − | 18.2947i | 0.0478131 | − | 0.699003i | ||||
\(686\) | −2.49797 | − | 7.02861i | −0.0953729 | − | 0.268354i | ||||
\(687\) | −20.8359 | − | 29.5177i | −0.794938 | − | 1.12617i | ||||
\(688\) | −10.0165 | + | 10.7251i | −0.381877 | + | 0.408890i | ||||
\(689\) | −53.2674 | + | 32.3926i | −2.02933 | + | 1.23406i | ||||
\(690\) | 4.48890 | − | 3.65199i | 0.170890 | − | 0.139029i | ||||
\(691\) | 10.3798 | + | 49.9503i | 0.394866 | + | 1.90020i | 0.433898 | + | 0.900962i | \(0.357138\pi\) |
−0.0390318 | + | 0.999238i | \(0.512427\pi\) | |||||||
\(692\) | −1.28197 | + | 1.81613i | −0.0487331 | + | 0.0690390i | ||||
\(693\) | −0.384146 | − | 0.107633i | −0.0145925 | − | 0.00408863i | ||||
\(694\) | −15.7010 | − | 16.8117i | −0.596002 | − | 0.638162i | ||||
\(695\) | −1.92288 | + | 9.25340i | −0.0729389 | + | 0.351001i | ||||
\(696\) | 12.4152 | + | 23.9603i | 0.470598 | + | 0.908214i | ||||
\(697\) | 0.821387 | − | 0.356779i | 0.0311123 | − | 0.0135140i | ||||
\(698\) | −1.10293 | − | 16.1243i | −0.0417465 | − | 0.610312i | ||||
\(699\) | −46.9953 | − | 20.4129i | −1.77753 | − | 0.772088i | ||||
\(700\) | 0.0691625 | − | 0.194605i | 0.00261410 | − | 0.00735536i | ||||
\(701\) | −3.85457 | + | 1.08000i | −0.145585 | + | 0.0407910i | −0.341817 | − | 0.939766i | \(-0.611042\pi\) |
0.196232 | + | 0.980557i | \(0.437129\pi\) | |||||||
\(702\) | 9.71457 | + | 5.90756i | 0.366653 | + | 0.222966i | ||||
\(703\) | 4.19003 | − | 0.575907i | 0.158030 | − | 0.0217207i | ||||
\(704\) | 3.82167 | 0.144035 | ||||||||
\(705\) | −10.4821 | + | 28.4193i | −0.394778 | + | 1.07033i | ||||
\(706\) | −35.1147 | −1.32156 | ||||||||
\(707\) | 7.20428 | − | 0.990205i | 0.270945 | − | 0.0372405i | ||||
\(708\) | 4.05857 | + | 2.46807i | 0.152531 | + | 0.0927559i | ||||
\(709\) | 34.6156 | − | 9.69883i | 1.30001 | − | 0.364247i | 0.450956 | − | 0.892546i | \(-0.351083\pi\) |
0.849058 | + | 0.528299i | \(0.177170\pi\) | |||||||
\(710\) | 8.91442 | − | 25.0828i | 0.334552 | − | 0.941340i | ||||
\(711\) | −7.92033 | − | 3.44028i | −0.297036 | − | 0.129021i | ||||
\(712\) | −0.803494 | − | 11.7467i | −0.0301122 | − | 0.440225i | ||||
\(713\) | −6.53088 | + | 2.83676i | −0.244583 | + | 0.106238i | ||||
\(714\) | 0.565206 | + | 1.09080i | 0.0211523 | + | 0.0408221i | ||||
\(715\) | −0.815615 | + | 3.92495i | −0.0305023 | + | 0.146785i | ||||
\(716\) | −1.91486 | − | 2.05032i | −0.0715618 | − | 0.0766240i | ||||
\(717\) | 52.3421 | + | 14.6656i | 1.95475 | + | 0.547696i | ||||
\(718\) | −18.5458 | + | 26.2734i | −0.692124 | + | 0.980516i | ||||
\(719\) | −0.784185 | − | 3.77370i | −0.0292452 | − | 0.140735i | 0.961930 | − | 0.273298i | \(-0.0881144\pi\) |
−0.991175 | + | 0.132562i | \(0.957680\pi\) | |||||||
\(720\) | −10.0351 | + | 8.16415i | −0.373986 | + | 0.304260i | ||||
\(721\) | −4.44136 | + | 2.70085i | −0.165405 | + | 0.100585i | ||||
\(722\) | −9.56130 | + | 10.2376i | −0.355835 | + | 0.381006i | ||||
\(723\) | 5.86434 | + | 8.30787i | 0.218097 | + | 0.308973i | ||||
\(724\) | −1.60368 | − | 4.51232i | −0.0596002 | − | 0.167699i | ||||
\(725\) | 0.328346 | − | 4.80025i | 0.0121945 | − | 0.178277i | ||||
\(726\) | 14.3517 | − | 27.6975i | 0.532642 | − | 1.02795i | ||||
\(727\) | −33.2027 | − | 27.0124i | −1.23142 | − | 1.00183i | −0.999577 | − | 0.0290803i | \(-0.990742\pi\) |
−0.231842 | − | 0.972753i | \(-0.574475\pi\) | |||||||
\(728\) | −6.15196 | − | 0.845567i | −0.228007 | − | 0.0313388i | ||||
\(729\) | 10.6678 | + | 1.46626i | 0.395104 | + | 0.0543058i | ||||
\(730\) | 30.6892 | + | 24.9675i | 1.13586 | + | 0.924089i | ||||
\(731\) | 2.20845 | − | 4.26211i | 0.0816823 | − | 0.157640i | ||||
\(732\) | −0.443883 | + | 6.48933i | −0.0164064 | + | 0.239853i | ||||
\(733\) | −2.85948 | − | 8.04580i | −0.105617 | − | 0.297178i | 0.877663 | − | 0.479279i | \(-0.159102\pi\) |
−0.983280 | + | 0.182100i | \(0.941710\pi\) | |||||||
\(734\) | −1.84244 | − | 2.61014i | −0.0680057 | − | 0.0963421i | ||||
\(735\) | −20.5632 | + | 22.0179i | −0.758487 | + | 0.812141i | ||||
\(736\) | −1.93664 | + | 1.17770i | −0.0713855 | + | 0.0434105i | ||||
\(737\) | 1.36007 | − | 1.10650i | 0.0500989 | − | 0.0407585i | ||||
\(738\) | −0.503313 | − | 2.42208i | −0.0185272 | − | 0.0891578i | ||||
\(739\) | −27.1493 | + | 38.4618i | −0.998704 | + | 1.41484i | −0.0907001 | + | 0.995878i | \(0.528910\pi\) |
−0.908004 | + | 0.418962i | \(0.862394\pi\) | |||||||
\(740\) | 1.10468 | + | 0.309517i | 0.0406088 | + | 0.0113781i | ||||
\(741\) | 21.0439 | + | 22.5325i | 0.773066 | + | 0.827752i | ||||
\(742\) | 1.42480 | − | 6.85652i | 0.0523061 | − | 0.251711i | ||||
\(743\) | 12.6538 | + | 24.4207i | 0.464222 | + | 0.895907i | 0.998712 | + | 0.0507328i | \(0.0161557\pi\) |
−0.534491 | + | 0.845174i | \(0.679496\pi\) | |||||||
\(744\) | 43.6342 | − | 18.9530i | 1.59971 | − | 0.694851i | ||||
\(745\) | 0.876902 | + | 12.8199i | 0.0321272 | + | 0.469683i | ||||
\(746\) | −15.9886 | − | 6.94484i | −0.585385 | − | 0.254269i | ||||
\(747\) | −7.20815 | + | 20.2818i | −0.263733 | + | 0.742072i | ||||
\(748\) | −0.162969 | + | 0.0456618i | −0.00595874 | + | 0.00166956i | ||||
\(749\) | 1.07365 | + | 0.652904i | 0.0392305 | + | 0.0238566i | ||||
\(750\) | 34.5661 | − | 4.75101i | 1.26218 | − | 0.173482i | ||||
\(751\) | −26.9047 | −0.981766 | −0.490883 | − | 0.871226i | \(-0.663326\pi\) | ||||
−0.490883 | + | 0.871226i | \(0.663326\pi\) | |||||||
\(752\) | −9.86269 | + | 18.4930i | −0.359655 | + | 0.674370i | ||||
\(753\) | 27.1686 | 0.990078 | ||||||||
\(754\) | −23.5809 | + | 3.24112i | −0.858766 | + | 0.118035i | ||||
\(755\) | 9.78737 | + | 5.95183i | 0.356199 | + | 0.216609i | ||||
\(756\) | 0.301582 | − | 0.0844994i | 0.0109684 | − | 0.00307321i | ||||
\(757\) | −8.49503 | + | 23.9027i | −0.308757 | + | 0.868759i | 0.681785 | + | 0.731552i | \(0.261204\pi\) |
−0.990542 | + | 0.137207i | \(0.956187\pi\) | |||||||
\(758\) | −6.64609 | − | 2.88680i | −0.241397 | − | 0.104853i | ||||
\(759\) | −0.0689699 | − | 1.00830i | −0.00250345 | − | 0.0365991i | ||||
\(760\) | 15.2287 | − | 6.61477i | 0.552404 | − | 0.239943i | ||||
\(761\) | 15.6802 | + | 30.2615i | 0.568408 | + | 1.09698i | 0.982416 | + | 0.186705i | \(0.0597809\pi\) |
−0.414008 | + | 0.910273i | \(0.635871\pi\) | |||||||
\(762\) | 0.659965 | − | 3.17593i | 0.0239080 | − | 0.115052i | ||||
\(763\) | 0.0395870 | + | 0.0423873i | 0.00143315 | + | 0.00153452i | ||||
\(764\) | −3.03547 | − | 0.850497i | −0.109819 | − | 0.0307699i | ||||
\(765\) | 2.44030 | − | 3.45711i | 0.0882291 | − | 0.124992i | ||||
\(766\) | −2.07705 | − | 9.99532i | −0.0750469 | − | 0.361146i | ||||
\(767\) | −19.7533 | + | 16.0705i | −0.713250 | + | 0.580272i | ||||
\(768\) | 17.6221 | − | 10.7162i | 0.635881 | − | 0.386688i | ||||
\(769\) | −35.1877 | + | 37.6768i | −1.26890 | + | 1.35866i | −0.364947 | + | 0.931028i | \(0.618913\pi\) |
−0.903953 | + | 0.427632i | \(0.859348\pi\) | |||||||
\(770\) | −0.259683 | − | 0.367887i | −0.00935832 | − | 0.0132577i | ||||
\(771\) | −4.16013 | − | 11.7055i | −0.149823 | − | 0.421563i | ||||
\(772\) | −0.561616 | + | 8.21054i | −0.0202130 | + | 0.295504i | ||||
\(773\) | −9.55603 | + | 18.4423i | −0.343706 | + | 0.663323i | −0.995468 | − | 0.0951010i | \(-0.969683\pi\) |
0.651761 | + | 0.758424i | \(0.274030\pi\) | |||||||
\(774\) | −10.2862 | − | 8.36848i | −0.369731 | − | 0.300799i | ||||
\(775\) | −8.40302 | − | 1.15497i | −0.301845 | − | 0.0414877i | ||||
\(776\) | −32.8864 | − | 4.52013i | −1.18055 | − | 0.162263i | ||||
\(777\) | −1.12819 | − | 0.917855i | −0.0404738 | − | 0.0329278i | ||||
\(778\) | −16.6315 | + | 32.0973i | −0.596268 | + | 1.15075i | ||||
\(779\) | −0.172277 | + | 2.51860i | −0.00617247 | + | 0.0902383i | ||||
\(780\) | 2.80055 | + | 7.88000i | 0.100276 | + | 0.282149i | ||||
\(781\) | −2.68105 | − | 3.79818i | −0.0959355 | − | 0.135910i | ||||
\(782\) | −0.893954 | + | 0.957191i | −0.0319677 | + | 0.0342291i | ||||
\(783\) | 6.23424 | − | 3.79112i | 0.222793 | − | 0.135484i | ||||
\(784\) | −16.1699 | + | 13.1552i | −0.577497 | + | 0.469829i | ||||
\(785\) | −1.37303 | − | 6.60740i | −0.0490056 | − | 0.235828i | ||||
\(786\) | −32.8581 | + | 46.5493i | −1.17201 | + | 1.66036i | ||||
\(787\) | 38.2830 | + | 10.7264i | 1.36464 | + | 0.382355i | 0.872693 | − | 0.488269i | \(-0.162372\pi\) |
0.491949 | + | 0.870624i | \(0.336285\pi\) | |||||||
\(788\) | −2.67927 | − | 2.86880i | −0.0954451 | − | 0.102197i | ||||
\(789\) | 6.40242 | − | 30.8101i | 0.227932 | − | 1.09687i | ||||
\(790\) | −4.48429 | − | 8.65428i | −0.159544 | − | 0.307906i | ||||
\(791\) | −4.95356 | + | 2.15163i | −0.176128 | + | 0.0765033i | ||||
\(792\) | 0.193914 | + | 2.83492i | 0.00689042 | + | 0.100734i | ||||
\(793\) | −31.9831 | − | 13.8922i | −1.13575 | − | 0.493327i | ||||
\(794\) | 10.8840 | − | 30.6248i | 0.386260 | − | 1.08683i | ||||
\(795\) | −55.1949 | + | 15.4649i | −1.95756 | + | 0.548483i | ||||
\(796\) | 1.23197 | + | 0.749177i | 0.0436660 | + | 0.0265539i | ||||
\(797\) | 39.4996 | − | 5.42910i | 1.39915 | − | 0.192309i | 0.603160 | − | 0.797620i | \(-0.293908\pi\) |
0.795989 | + | 0.605311i | \(0.206951\pi\) | |||||||
\(798\) | −3.46324 | −0.122597 | ||||||||
\(799\) | 1.47446 | − | 6.69522i | 0.0521626 | − | 0.236860i | ||||
\(800\) | −2.70007 | −0.0954618 | ||||||||
\(801\) | 8.38054 | − | 1.15188i | 0.296112 | − | 0.0406996i | ||||
\(802\) | 38.2158 | + | 23.2396i | 1.34945 | + | 0.820617i | ||||
\(803\) | 6.65334 | − | 1.86418i | 0.234791 | − | 0.0657854i | ||||
\(804\) | 1.22487 | − | 3.44646i | 0.0431979 | − | 0.121547i | ||||
\(805\) | 0.783810 | + | 0.340457i | 0.0276257 | + | 0.0119995i | ||||
\(806\) | 2.86352 | + | 41.8632i | 0.100863 | + | 1.47457i | ||||
\(807\) | 7.49909 | − | 3.25731i | 0.263980 | − | 0.114663i | ||||
\(808\) | −23.8298 | − | 45.9894i | −0.838328 | − | 1.61790i | ||||
\(809\) | 1.57562 | − | 7.58231i | 0.0553960 | − | 0.266580i | −0.942271 | − | 0.334852i | \(-0.891314\pi\) |
0.997667 | + | 0.0682718i | \(0.0217485\pi\) | |||||||
\(810\) | 18.1166 | + | 19.3981i | 0.636552 | + | 0.681581i | ||||
\(811\) | 9.60630 | + | 2.69156i | 0.337323 | + | 0.0945134i | 0.434287 | − | 0.900774i | \(-0.357000\pi\) |
−0.0969644 | + | 0.995288i | \(0.530913\pi\) | |||||||
\(812\) | −0.378115 | + | 0.535667i | −0.0132692 | + | 0.0187982i | ||||
\(813\) | 6.39956 | + | 30.7964i | 0.224442 | + | 1.08008i | ||||
\(814\) | −0.633784 | + | 0.515622i | −0.0222141 | + | 0.0180725i | ||||
\(815\) | −9.45843 | + | 5.75180i | −0.331314 | + | 0.201477i | ||||
\(816\) | 4.74901 | − | 5.08495i | 0.166249 | − | 0.178009i | ||||
\(817\) | 7.80364 | + | 11.0552i | 0.273015 | + | 0.386774i | ||||
\(818\) | −8.77151 | − | 24.6807i | −0.306689 | − | 0.862939i | ||||
\(819\) | 0.304466 | − | 4.45114i | 0.0106389 | − | 0.155536i | ||||
\(820\) | −0.315035 | + | 0.607989i | −0.0110015 | + | 0.0212319i | ||||
\(821\) | −37.2912 | − | 30.3387i | −1.30147 | − | 1.05883i | −0.994238 | − | 0.107193i | \(-0.965814\pi\) |
−0.307235 | − | 0.951634i | \(-0.599404\pi\) | |||||||
\(822\) | 26.9904 | + | 3.70974i | 0.941397 | + | 0.129392i | ||||
\(823\) | 49.8703 | + | 6.85452i | 1.73837 | + | 0.238933i | 0.934523 | − | 0.355903i | \(-0.115827\pi\) |
0.803847 | + | 0.594836i | \(0.202783\pi\) | |||||||
\(824\) | 28.7205 | + | 23.3658i | 1.00053 | + | 0.813988i | ||||
\(825\) | 0.553887 | − | 1.06895i | 0.0192839 | − | 0.0372162i | ||||
\(826\) | 0.195203 | − | 2.85377i | 0.00679199 | − | 0.0992954i | ||||
\(827\) | −3.68947 | − | 10.3812i | −0.128295 | − | 0.360988i | 0.860664 | − | 0.509173i | \(-0.170048\pi\) |
−0.988960 | + | 0.148184i | \(0.952657\pi\) | |||||||
\(828\) | −0.511651 | − | 0.724845i | −0.0177811 | − | 0.0251901i | ||||
\(829\) | −29.2813 | + | 31.3527i | −1.01698 | + | 1.08892i | −0.0209638 | + | 0.999780i | \(0.506673\pi\) |
−0.996019 | + | 0.0891423i | \(0.971587\pi\) | |||||||
\(830\) | −20.7590 | + | 12.6238i | −0.720556 | + | 0.438180i | ||||
\(831\) | −1.38122 | + | 1.12371i | −0.0479141 | + | 0.0389810i | ||||
\(832\) | 8.69564 | + | 41.8457i | 0.301467 | + | 1.45074i | ||||
\(833\) | 3.93214 | − | 5.57057i | 0.136241 | − | 0.193009i | ||||
\(834\) | −13.5209 | − | 3.78837i | −0.468190 | − | 0.131181i | ||||
\(835\) | 11.7274 | + | 12.5570i | 0.405843 | + | 0.434552i | ||||
\(836\) | 0.0970692 | − | 0.467123i | 0.00335721 | − | 0.0161558i | ||||
\(837\) | −5.91771 | − | 11.4207i | −0.204546 | − | 0.394756i | ||||
\(838\) | −12.7314 | + | 5.53002i | −0.439799 | + | 0.191031i | ||||
\(839\) | 0.396375 | + | 5.79479i | 0.0136844 | + | 0.200058i | 0.999484 | + | 0.0321307i | \(0.0102293\pi\) |
−0.985799 | + | 0.167928i | \(0.946292\pi\) | |||||||
\(840\) | −5.23680 | − | 2.27466i | −0.180687 | − | 0.0784834i | ||||
\(841\) | 4.59619 | − | 12.9324i | 0.158489 | − | 0.445946i | ||||
\(842\) | 1.36896 | − | 0.383565i | 0.0471775 | − | 0.0132185i | ||||
\(843\) | 16.1338 | + | 9.81117i | 0.555677 | + | 0.337915i | ||||
\(844\) | −7.73720 | + | 1.06345i | −0.266326 | + | 0.0366056i | ||||
\(845\) | −19.5946 | −0.674074 | ||||||||
\(846\) | −17.2795 | − | 7.75079i | −0.594080 | − | 0.266478i | ||||
\(847\) | 4.60665 | 0.158287 | ||||||||
\(848\) | −39.2915 | + | 5.40049i | −1.34927 | + | 0.185453i | ||||
\(849\) | −39.1255 | − | 23.7928i | −1.34278 | − | 0.816565i | ||||
\(850\) | −1.50233 | + | 0.420932i | −0.0515294 | + | 0.0144379i | ||||
\(851\) | 0.519235 | − | 1.46099i | 0.0177991 | − | 0.0500820i | ||||
\(852\) | −8.89568 | − | 3.86394i | −0.304761 | − | 0.132376i | ||||
\(853\) | 1.74915 | + | 25.5717i | 0.0598899 | + | 0.875559i | 0.926434 | + | 0.376458i | \(0.122858\pi\) |
−0.866544 | + | 0.499101i | \(0.833664\pi\) | |||||||
\(854\) | 3.59264 | − | 1.56050i | 0.122938 | − | 0.0533993i | ||||
\(855\) | 5.48809 | + | 10.5915i | 0.187689 | + | 0.362223i | ||||
\(856\) | 1.82100 | − | 8.76314i | 0.0622405 | − | 0.299518i | ||||
\(857\) | 8.27046 | + | 8.85550i | 0.282514 | + | 0.302498i | 0.856271 | − | 0.516527i | \(-0.172776\pi\) |
−0.573757 | + | 0.819025i | \(0.694515\pi\) | |||||||
\(858\) | −5.73506 | − | 1.60689i | −0.195792 | − | 0.0548583i | ||||
\(859\) | −2.51087 | + | 3.55709i | −0.0856698 | + | 0.121367i | −0.857548 | − | 0.514404i | \(-0.828013\pi\) |
0.771878 | + | 0.635771i | \(0.219318\pi\) | |||||||
\(860\) | 0.746790 | + | 3.59375i | 0.0254653 | + | 0.122546i | ||||
\(861\) | 0.673404 | − | 0.547855i | 0.0229496 | − | 0.0186709i | ||||
\(862\) | −21.9446 | + | 13.3448i | −0.747436 | + | 0.454526i | ||||
\(863\) | 7.35596 | − | 7.87631i | 0.250400 | − | 0.268113i | −0.593236 | − | 0.805029i | \(-0.702150\pi\) |
0.843636 | + | 0.536916i | \(0.180411\pi\) | |||||||
\(864\) | −2.36126 | − | 3.34515i | −0.0803319 | − | 0.113804i | ||||
\(865\) | −3.66933 | − | 10.3245i | −0.124761 | − | 0.351044i | ||||
\(866\) | 1.55369 | − | 22.7141i | 0.0527965 | − | 0.771858i | ||||
\(867\) | −1.04706 | + | 2.02074i | −0.0355601 | + | 0.0686278i | ||||
\(868\) | 0.896625 | + | 0.729459i | 0.0304334 | + | 0.0247594i | ||||
\(869\) | −1.68646 | − | 0.231798i | −0.0572091 | − | 0.00786322i | ||||
\(870\) | −21.6810 | − | 2.97999i | −0.735056 | − | 0.101031i | ||||
\(871\) | 15.2104 | + | 12.3745i | 0.515383 | + | 0.419295i | ||||
\(872\) | 0.190056 | − | 0.366791i | 0.00643611 | − | 0.0124211i | ||||
\(873\) | 1.62758 | − | 23.7944i | 0.0550853 | − | 0.805318i | ||||
\(874\) | −1.23641 | − | 3.47892i | −0.0418222 | − | 0.117676i | ||||
\(875\) | 2.97133 | + | 4.20942i | 0.100449 | + | 0.142304i | ||||
\(876\) | 9.83847 | − | 10.5344i | 0.332411 | − | 0.355925i | ||||
\(877\) | −7.04588 | + | 4.28470i | −0.237923 | + | 0.144684i | −0.633484 | − | 0.773755i | \(-0.718376\pi\) |
0.395562 | + | 0.918439i | \(0.370550\pi\) | |||||||
\(878\) | −0.390873 | + | 0.317998i | −0.0131913 | + | 0.0107319i | ||||
\(879\) | −11.5796 | − | 55.7243i | −0.390572 | − | 1.87953i | ||||
\(880\) | −1.47069 | + | 2.08350i | −0.0495770 | + | 0.0702346i | ||||
\(881\) | 34.2921 | + | 9.60820i | 1.15533 | + | 0.323709i | 0.793521 | − | 0.608543i | \(-0.208246\pi\) |
0.361810 | + | 0.932252i | \(0.382159\pi\) | |||||||
\(882\) | −12.8564 | − | 13.7658i | −0.432898 | − | 0.463520i | ||||
\(883\) | −3.00876 | + | 14.4789i | −0.101253 | + | 0.487255i | 0.897662 | + | 0.440684i | \(0.145264\pi\) |
−0.998915 | + | 0.0465707i | \(0.985171\pi\) | |||||||
\(884\) | −0.870789 | − | 1.68055i | −0.0292878 | − | 0.0565229i | ||||
\(885\) | −21.4748 | + | 9.32781i | −0.721866 | + | 0.313551i | ||||
\(886\) | −3.26036 | − | 47.6648i | −0.109534 | − | 1.60133i | ||||
\(887\) | −19.8130 | − | 8.60598i | −0.665254 | − | 0.288961i | 0.0386530 | − | 0.999253i | \(-0.487693\pi\) |
−0.703907 | + | 0.710292i | \(0.748563\pi\) | |||||||
\(888\) | −3.46912 | + | 9.76116i | −0.116416 | + | 0.327563i | ||||
\(889\) | 0.461255 | − | 0.129238i | 0.0154700 | − | 0.00433449i | ||||
\(890\) | 8.15845 | + | 4.96126i | 0.273472 | + | 0.166302i | ||||
\(891\) | 4.59241 | − | 0.631213i | 0.153852 | − | 0.0211464i | ||||
\(892\) | 1.65798 | 0.0555133 | ||||||||
\(893\) | 14.8455 | + | 12.3737i | 0.496787 | + | 0.414069i | ||||
\(894\) | −19.0911 | −0.638503 | ||||||||
\(895\) | 13.6992 | − | 1.88291i | 0.457912 | − | 0.0629386i | ||||
\(896\) | −2.50562 | − | 1.52370i | −0.0837070 | − | 0.0509034i | ||||
\(897\) | 10.8836 | − | 3.04944i | 0.363392 | − | 0.101818i | ||||
\(898\) | 7.18047 | − | 20.2039i | 0.239615 | − | 0.674213i | ||||
\(899\) | 24.6988 | + | 10.7282i | 0.823751 | + | 0.357805i | ||||
\(900\) | −0.0721257 | − | 1.05444i | −0.00240419 | − | 0.0351480i | ||||
\(901\) | 11.8992 | − | 5.16855i | 0.396420 | − | 0.172189i | ||||
\(902\) | −0.224364 | − | 0.433002i | −0.00747049 | − | 0.0144174i | ||||
\(903\) | 0.946750 | − | 4.55601i | 0.0315059 | − | 0.151615i | ||||
\(904\) | 26.2561 | + | 28.1134i | 0.873265 | + | 0.935039i | ||||
\(905\) | 22.7287 | + | 6.36828i | 0.755527 | + | 0.211689i | ||||
\(906\) | −9.81442 | + | 13.9039i | −0.326062 | + | 0.461925i | ||||
\(907\) | −4.71731 | − | 22.7010i | −0.156636 | − | 0.753773i | −0.981956 | − | 0.189108i | \(-0.939440\pi\) |
0.825320 | − | 0.564665i | \(-0.190994\pi\) | |||||||
\(908\) | −8.47279 | + | 6.89312i | −0.281179 | + | 0.228756i | ||||
\(909\) | 31.7965 | − | 19.3359i | 1.05462 | − | 0.641331i | ||||
\(910\) | 3.43734 | − | 3.68049i | 0.113947 | − | 0.122007i | ||||
\(911\) | −19.1265 | − | 27.0960i | −0.633688 | − | 0.897731i | 0.365768 | − | 0.930706i | \(-0.380806\pi\) |
−0.999456 | + | 0.0329747i | \(0.989502\pi\) | |||||||
\(912\) | 6.56826 | + | 18.4813i | 0.217497 | + | 0.611977i | ||||
\(913\) | −0.289571 | + | 4.23338i | −0.00958341 | + | 0.140104i | ||||
\(914\) | −7.50945 | + | 14.4926i | −0.248390 | + | 0.479372i | ||||
\(915\) | −24.8697 | − | 20.2330i | −0.822167 | − | 0.668883i | ||||
\(916\) | −6.19458 | − | 0.851425i | −0.204675 | − | 0.0281319i | ||||
\(917\) | −8.33576 | − | 1.14572i | −0.275271 | − | 0.0378351i | ||||
\(918\) | −1.83532 | − | 1.49314i | −0.0605744 | − | 0.0492810i | ||||
\(919\) | 11.1354 | − | 21.4903i | 0.367321 | − | 0.708898i | −0.630407 | − | 0.776265i | \(-0.717112\pi\) |
0.997728 | + | 0.0673669i | \(0.0214598\pi\) | |||||||
\(920\) | 0.415377 | − | 6.07259i | 0.0136946 | − | 0.200207i | ||||
\(921\) | −10.8725 | − | 30.5921i | −0.358259 | − | 1.00805i | ||||
\(922\) | −14.3771 | − | 20.3677i | −0.473484 | − | 0.670774i | ||||
\(923\) | 35.4882 | − | 37.9985i | 1.16811 | − | 1.25074i | ||||
\(924\) | −0.140180 | + | 0.0852451i | −0.00461157 | + | 0.00280436i | ||||
\(925\) | 1.43275 | − | 1.16563i | 0.0471087 | − | 0.0383258i | ||||
\(926\) | −3.03136 | − | 14.5877i | −0.0996165 | − | 0.479381i | ||||
\(927\) | −15.3403 | + | 21.7323i | −0.503842 | + | 0.713782i | ||||
\(928\) | 8.25412 | + | 2.31270i | 0.270955 | + | 0.0759179i | ||||
\(929\) | −7.49140 | − | 8.02133i | −0.245785 | − | 0.263171i | 0.596000 | − | 0.802984i | \(-0.296756\pi\) |
−0.841785 | + | 0.539813i | \(0.818495\pi\) | |||||||
\(930\) | −7.84940 | + | 37.7734i | −0.257392 | + | 1.23864i | ||||
\(931\) | 8.84317 | + | 17.0665i | 0.289823 | + | 0.559333i | ||||
\(932\) | −8.13305 | + | 3.53268i | −0.266407 | + | 0.115717i | ||||
\(933\) | 0.0918892 | + | 1.34337i | 0.00300832 | + | 0.0439801i | ||||
\(934\) | 8.26050 | + | 3.58804i | 0.270292 | + | 0.117404i | ||||
\(935\) | 0.279358 | − | 0.786039i | 0.00913599 | − | 0.0257062i | ||||
\(936\) | −30.5999 | + | 8.57370i | −1.00019 | + | 0.280240i | ||||
\(937\) | 12.8581 | + | 7.81921i | 0.420057 | + | 0.255442i | 0.713670 | − | 0.700482i | \(-0.247032\pi\) |
−0.293613 | + | 0.955924i | \(0.594858\pi\) | |||||||
\(938\) | −2.18207 | + | 0.299919i | −0.0712471 | + | 0.00979269i | ||||
\(939\) | 3.00222 | 0.0979737 | ||||||||
\(940\) | 2.35627 | + | 4.68275i | 0.0768531 | + | 0.152734i | ||||
\(941\) | 40.0964 | 1.30711 | 0.653553 | − | 0.756880i | \(-0.273278\pi\) | ||||
0.653553 | + | 0.756880i | \(0.273278\pi\) | |||||||
\(942\) | 9.93301 | − | 1.36526i | 0.323635 | − | 0.0444826i | ||||
\(943\) | 0.790748 | + | 0.480864i | 0.0257503 | + | 0.0156591i | ||||
\(944\) | −15.5991 | + | 4.37067i | −0.507708 | + | 0.142253i | ||||
\(945\) | −0.516966 | + | 1.45460i | −0.0168169 | + | 0.0473183i | ||||
\(946\) | −2.39768 | − | 1.04146i | −0.0779554 | − | 0.0338608i | ||||
\(947\) | −2.58677 | − | 37.8172i | −0.0840587 | − | 1.22889i | −0.828030 | − | 0.560683i | \(-0.810539\pi\) |
0.743972 | − | 0.668211i | \(-0.232940\pi\) | |||||||
\(948\) | −3.25724 | + | 1.41482i | −0.105790 | + | 0.0459511i | ||||
\(949\) | 35.5506 | + | 68.6096i | 1.15402 | + | 2.22716i | ||||
\(950\) | 0.894831 | − | 4.30616i | 0.0290322 | − | 0.139710i | ||||
\(951\) | 19.7709 | + | 21.1695i | 0.641116 | + | 0.686468i | ||||
\(952\) | 1.24430 | + | 0.348636i | 0.0403279 | + | 0.0112994i | ||||
\(953\) | 3.03481 | − | 4.29935i | 0.0983072 | − | 0.139270i | −0.764843 | − | 0.644216i | \(-0.777184\pi\) |
0.863150 | + | 0.504947i | \(0.168488\pi\) | |||||||
\(954\) | −7.29135 | − | 35.0879i | −0.236066 | − | 1.13601i | ||||
\(955\) | 12.0529 | − | 9.80580i | 0.390024 | − | 0.317308i | ||||
\(956\) | 8.03771 | − | 4.88784i | 0.259958 | − | 0.158084i | ||||
\(957\) | −2.60883 | + | 2.79337i | −0.0843315 | + | 0.0902970i | ||||
\(958\) | −17.4321 | − | 24.6957i | −0.563206 | − | 0.797881i | ||||
\(959\) | 1.34730 | + | 3.79093i | 0.0435064 | + | 0.122415i | ||||
\(960\) | −2.68167 | + | 39.2046i | −0.0865505 | + | 1.26532i | ||||
\(961\) | 7.57773 | − | 14.6243i | 0.244443 | − | 0.471753i | ||||
\(962\) | −7.08792 | − | 5.76645i | −0.228524 | − | 0.185918i | ||||
\(963\) | 6.37065 | + | 0.875625i | 0.205291 | + | 0.0282166i | ||||
\(964\) | 1.74349 | + | 0.239637i | 0.0561540 | + | 0.00771819i | ||||
\(965\) | −31.4661 | − | 25.5995i | −1.01293 | − | 0.824078i | ||||
\(966\) | −0.584111 | + | 1.12728i | −0.0187935 | + | 0.0362697i | ||||
\(967\) | 2.70402 | − | 39.5313i | 0.0869553 | − | 1.27124i | −0.725502 | − | 0.688220i | \(-0.758392\pi\) |
0.812457 | − | 0.583021i | \(-0.198129\pi\) | |||||||
\(968\) | −10.9880 | − | 30.9174i | −0.353169 | − | 0.993723i | ||||
\(969\) | −3.69984 | − | 5.24148i | −0.118856 | − | 0.168380i | ||||
\(970\) | 18.3749 | − | 19.6747i | 0.589983 | − | 0.631717i | ||||
\(971\) | 18.8230 | − | 11.4465i | 0.604060 | − | 0.367337i | −0.184008 | − | 0.982925i | \(-0.558907\pi\) |
0.788069 | + | 0.615587i | \(0.211081\pi\) | |||||||
\(972\) | 5.79028 | − | 4.71074i | 0.185723 | − | 0.151097i | ||||
\(973\) | −0.421879 | − | 2.03019i | −0.0135248 | − | 0.0650850i | ||||
\(974\) | −3.61268 | + | 5.11801i | −0.115758 | + | 0.163992i | ||||
\(975\) | 12.9649 | + | 3.63259i | 0.415209 | + | 0.116336i | ||||
\(976\) | −15.1412 | − | 16.2122i | −0.484657 | − | 0.518941i | ||||
\(977\) | −2.52382 | + | 12.1453i | −0.0807441 | + | 0.388562i | −0.999987 | − | 0.00512934i | \(-0.998367\pi\) |
0.919243 | + | 0.393691i | \(0.128802\pi\) | |||||||
\(978\) | −7.56662 | − | 14.6029i | −0.241954 | − | 0.466949i | ||||
\(979\) | 1.52958 | − | 0.664388i | 0.0488854 | − | 0.0212339i | ||||
\(980\) | 0.355802 | + | 5.20165i | 0.0113657 | + | 0.166160i | ||||
\(981\) | 0.272232 | + | 0.118247i | 0.00869171 | + | 0.00377534i | ||||
\(982\) | 9.50433 | − | 26.7426i | 0.303295 | − | 0.853391i | ||||
\(983\) | 26.8704 | − | 7.52874i | 0.857034 | − | 0.240130i | 0.186908 | − | 0.982377i | \(-0.440153\pi\) |
0.670125 | + | 0.742248i | \(0.266240\pi\) | |||||||
\(984\) | −5.28315 | − | 3.21276i | −0.168421 | − | 0.102419i | ||||
\(985\) | 19.1678 | − | 2.63456i | 0.610738 | − | 0.0839440i | ||||
\(986\) | 4.95316 | 0.157741 | ||||||||
\(987\) | −0.374734 | − | 6.63521i | −0.0119279 | − | 0.211201i | ||||
\(988\) | 5.33566 | 0.169750 | ||||||||
\(989\) | 4.91464 | − | 0.675502i | 0.156276 | − | 0.0214797i | ||||
\(990\) | −1.96894 | − | 1.19734i | −0.0625771 | − | 0.0380540i | ||||
\(991\) | 26.2893 | − | 7.36591i | 0.835106 | − | 0.233986i | 0.174442 | − | 0.984667i | \(-0.444188\pi\) |
0.660664 | + | 0.750682i | \(0.270275\pi\) | |||||||
\(992\) | 5.06049 | − | 14.2388i | 0.160671 | − | 0.452084i | ||||
\(993\) | 1.52222 | + | 0.661191i | 0.0483060 | + | 0.0209823i | ||||
\(994\) | 0.398561 | + | 5.82676i | 0.0126416 | + | 0.184813i | ||||
\(995\) | −6.51861 | + | 2.83143i | −0.206654 | + | 0.0897624i | ||||
\(996\) | 4.07249 | + | 7.85956i | 0.129042 | + | 0.249040i | ||||
\(997\) | −0.529213 | + | 2.54671i | −0.0167603 | + | 0.0806552i | −0.986633 | − | 0.162956i | \(-0.947897\pi\) |
0.969873 | + | 0.243611i | \(0.0783320\pi\) | |||||||
\(998\) | 24.7832 | + | 26.5364i | 0.784499 | + | 0.839994i | ||||
\(999\) | 2.69709 | + | 0.755690i | 0.0853322 | + | 0.0239090i |
(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 | 799.2.k.a.494.10 | ✓ | 704 | |
47.2 | even | 23 | inner | 799.2.k.a.613.10 | yes | 704 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
799.2.k.a.494.10 | ✓ | 704 | 1.1 | even | 1 | trivial | |
799.2.k.a.613.10 | yes | 704 | 47.2 | even | 23 | inner |