Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 493.2 | ||
Character | \(\chi\) | \(=\) | 690.493 |
Dual form | 690.2.w.b.7.2 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(e\left(\frac{3}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.997452 | − | 0.0713392i | −0.705305 | − | 0.0504444i | ||||
\(3\) | −0.212565 | − | 0.977147i | −0.122725 | − | 0.564156i | ||||
\(4\) | 0.989821 | + | 0.142315i | 0.494911 | + | 0.0711574i | ||||
\(5\) | −1.89440 | + | 1.18796i | −0.847201 | + | 0.531273i | ||||
\(6\) | 0.142315 | + | 0.989821i | 0.0580998 | + | 0.404093i | ||||
\(7\) | 0.244741 | + | 0.448210i | 0.0925035 | + | 0.169407i | 0.919834 | − | 0.392308i | \(-0.128323\pi\) |
−0.827330 | + | 0.561716i | \(0.810142\pi\) | |||||||
\(8\) | −0.977147 | − | 0.212565i | −0.345474 | − | 0.0751532i | ||||
\(9\) | −0.909632 | + | 0.415415i | −0.303211 | + | 0.138472i | ||||
\(10\) | 1.97432 | − | 1.04979i | 0.624335 | − | 0.331973i | ||||
\(11\) | −1.95533 | − | 1.69430i | −0.589553 | − | 0.510850i | 0.308217 | − | 0.951316i | \(-0.400268\pi\) |
−0.897769 | + | 0.440466i | \(0.854813\pi\) | |||||||
\(12\) | −0.0713392 | − | 0.997452i | −0.0205938 | − | 0.287940i | ||||
\(13\) | 3.92447 | + | 2.14292i | 1.08845 | + | 0.594339i | 0.920217 | − | 0.391408i | \(-0.128012\pi\) |
0.168234 | + | 0.985747i | \(0.446194\pi\) | |||||||
\(14\) | −0.212143 | − | 0.464528i | −0.0566975 | − | 0.124150i | ||||
\(15\) | 1.56350 | + | 1.59859i | 0.403693 | + | 0.412753i | ||||
\(16\) | 0.959493 | + | 0.281733i | 0.239873 | + | 0.0704331i | ||||
\(17\) | −0.573049 | + | 0.765504i | −0.138985 | + | 0.185662i | −0.864633 | − | 0.502404i | \(-0.832449\pi\) |
0.725648 | + | 0.688066i | \(0.241540\pi\) | |||||||
\(18\) | 0.936950 | − | 0.349464i | 0.220841 | − | 0.0823695i | ||||
\(19\) | 0.787868 | − | 5.47974i | 0.180749 | − | 1.25714i | −0.674248 | − | 0.738505i | \(-0.735532\pi\) |
0.854997 | − | 0.518633i | \(-0.173559\pi\) | |||||||
\(20\) | −2.04418 | + | 0.906269i | −0.457093 | + | 0.202648i | ||||
\(21\) | 0.385944 | − | 0.334422i | 0.0842198 | − | 0.0729769i | ||||
\(22\) | 1.82947 | + | 1.82947i | 0.390045 | + | 0.390045i | ||||
\(23\) | −0.985708 | − | 4.69344i | −0.205534 | − | 0.978650i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | 2.17749 | − | 4.50095i | 0.435499 | − | 0.900189i | ||||
\(26\) | −3.76159 | − | 2.41743i | −0.737709 | − | 0.474097i | ||||
\(27\) | 0.599278 | + | 0.800541i | 0.115331 | + | 0.154064i | ||||
\(28\) | 0.178463 | + | 0.478478i | 0.0337264 | + | 0.0904239i | ||||
\(29\) | 9.80565 | − | 1.40984i | 1.82086 | − | 0.261801i | 0.854587 | − | 0.519308i | \(-0.173810\pi\) |
0.966276 | + | 0.257507i | \(0.0829011\pi\) | |||||||
\(30\) | −1.44547 | − | 1.70605i | −0.263906 | − | 0.311481i | ||||
\(31\) | −1.87207 | + | 1.20311i | −0.336234 | + | 0.216084i | −0.697852 | − | 0.716242i | \(-0.745861\pi\) |
0.361618 | + | 0.932326i | \(0.382224\pi\) | |||||||
\(32\) | −0.936950 | − | 0.349464i | −0.165631 | − | 0.0617771i | ||||
\(33\) | −1.23994 | + | 2.27079i | −0.215847 | + | 0.395294i | ||||
\(34\) | 0.626199 | − | 0.722672i | 0.107392 | − | 0.123937i | ||||
\(35\) | −0.996094 | − | 0.558345i | −0.168371 | − | 0.0943776i | ||||
\(36\) | −0.959493 | + | 0.281733i | −0.159915 | + | 0.0469554i | ||||
\(37\) | 0.327944 | − | 0.879252i | 0.0539137 | − | 0.144548i | −0.907201 | − | 0.420697i | \(-0.861786\pi\) |
0.961115 | + | 0.276149i | \(0.0890583\pi\) | |||||||
\(38\) | −1.17678 | + | 5.40957i | −0.190899 | + | 0.877548i | ||||
\(39\) | 1.25974 | − | 4.29029i | 0.201720 | − | 0.686996i | ||||
\(40\) | 2.10363 | − | 0.758130i | 0.332612 | − | 0.119871i | ||||
\(41\) | 3.97618 | − | 8.70662i | 0.620975 | − | 1.35974i | −0.293834 | − | 0.955857i | \(-0.594931\pi\) |
0.914808 | − | 0.403888i | \(-0.132342\pi\) | |||||||
\(42\) | −0.408818 | + | 0.306037i | −0.0630819 | + | 0.0472225i | ||||
\(43\) | −0.920644 | + | 0.200274i | −0.140397 | + | 0.0305415i | −0.282214 | − | 0.959351i | \(-0.591069\pi\) |
0.141818 | + | 0.989893i | \(0.454705\pi\) | |||||||
\(44\) | −1.69430 | − | 1.95533i | −0.255425 | − | 0.294776i | ||||
\(45\) | 1.22971 | − | 1.86757i | 0.183314 | − | 0.278401i | ||||
\(46\) | 0.648370 | + | 4.75180i | 0.0955970 | + | 0.700615i | ||||
\(47\) | −5.32050 | + | 5.32050i | −0.776074 | + | 0.776074i | −0.979161 | − | 0.203086i | \(-0.934903\pi\) |
0.203086 | + | 0.979161i | \(0.434903\pi\) | |||||||
\(48\) | 0.0713392 | − | 0.997452i | 0.0102969 | − | 0.143970i | ||||
\(49\) | 3.64349 | − | 5.66938i | 0.520499 | − | 0.809912i | ||||
\(50\) | −2.49304 | + | 4.33414i | −0.352569 | + | 0.612940i | ||||
\(51\) | 0.869820 | + | 0.397233i | 0.121799 | + | 0.0556238i | ||||
\(52\) | 3.57955 | + | 2.67962i | 0.496394 | + | 0.371596i | ||||
\(53\) | −2.72917 | + | 1.49024i | −0.374881 | + | 0.204700i | −0.655633 | − | 0.755080i | \(-0.727598\pi\) |
0.280752 | + | 0.959780i | \(0.409416\pi\) | |||||||
\(54\) | −0.540641 | − | 0.841254i | −0.0735719 | − | 0.114480i | ||||
\(55\) | 5.71693 | + | 0.886826i | 0.770871 | + | 0.119580i | ||||
\(56\) | −0.143874 | − | 0.489991i | −0.0192260 | − | 0.0654777i | ||||
\(57\) | −5.52198 | + | 0.394940i | −0.731405 | + | 0.0523111i | ||||
\(58\) | −9.88124 | + | 0.706721i | −1.29747 | + | 0.0927970i | ||||
\(59\) | −3.62935 | − | 12.3604i | −0.472501 | − | 1.60919i | −0.758987 | − | 0.651106i | \(-0.774305\pi\) |
0.286486 | − | 0.958084i | \(-0.407513\pi\) | |||||||
\(60\) | 1.32008 | + | 1.80482i | 0.170422 | + | 0.233002i | ||||
\(61\) | −2.08617 | − | 3.24614i | −0.267106 | − | 0.415625i | 0.681629 | − | 0.731698i | \(-0.261272\pi\) |
−0.948735 | + | 0.316073i | \(0.897636\pi\) | |||||||
\(62\) | 1.95313 | − | 1.06649i | 0.248048 | − | 0.135444i | ||||
\(63\) | −0.408818 | − | 0.306037i | −0.0515062 | − | 0.0385570i | ||||
\(64\) | 0.909632 | + | 0.415415i | 0.113704 | + | 0.0519269i | ||||
\(65\) | −9.98021 | + | 0.602571i | −1.23789 | + | 0.0747397i | ||||
\(66\) | 1.39878 | − | 2.17655i | 0.172178 | − | 0.267914i | ||||
\(67\) | 0.439415 | − | 6.14383i | 0.0536831 | − | 0.750588i | −0.897315 | − | 0.441391i | \(-0.854485\pi\) |
0.950998 | − | 0.309197i | \(-0.100060\pi\) | |||||||
\(68\) | −0.676159 | + | 0.676159i | −0.0819963 | + | 0.0819963i | ||||
\(69\) | −4.37665 | + | 1.96084i | −0.526887 | + | 0.236058i | ||||
\(70\) | 0.953724 | + | 0.627983i | 0.113992 | + | 0.0750583i | ||||
\(71\) | −5.17574 | − | 5.97313i | −0.614248 | − | 0.708880i | 0.360356 | − | 0.932815i | \(-0.382655\pi\) |
−0.974604 | + | 0.223935i | \(0.928110\pi\) | |||||||
\(72\) | 0.977147 | − | 0.212565i | 0.115158 | − | 0.0250511i | ||||
\(73\) | 2.38663 | − | 1.78661i | 0.279334 | − | 0.209107i | −0.450420 | − | 0.892817i | \(-0.648726\pi\) |
0.729754 | + | 0.683710i | \(0.239635\pi\) | |||||||
\(74\) | −0.389834 | + | 0.853616i | −0.0453172 | + | 0.0992309i | ||||
\(75\) | −4.86095 | − | 1.17098i | −0.561294 | − | 0.135214i | ||||
\(76\) | 1.55970 | − | 5.31184i | 0.178909 | − | 0.609310i | ||||
\(77\) | 0.280853 | − | 1.29106i | 0.0320062 | − | 0.147130i | ||||
\(78\) | −1.56260 | + | 4.18949i | −0.176929 | + | 0.474366i | ||||
\(79\) | 13.7008 | − | 4.02292i | 1.54146 | − | 0.452613i | 0.602925 | − | 0.797798i | \(-0.294002\pi\) |
0.938535 | + | 0.345185i | \(0.112184\pi\) | |||||||
\(80\) | −2.15235 | + | 0.606127i | −0.240640 | + | 0.0677671i | ||||
\(81\) | 0.654861 | − | 0.755750i | 0.0727623 | − | 0.0839722i | ||||
\(82\) | −4.58717 | + | 8.40078i | −0.506568 | + | 0.927710i | ||||
\(83\) | 14.0560 | + | 5.24261i | 1.54284 | + | 0.575451i | 0.969763 | − | 0.244048i | \(-0.0784754\pi\) |
0.573081 | + | 0.819499i | \(0.305748\pi\) | |||||||
\(84\) | 0.429608 | − | 0.276093i | 0.0468741 | − | 0.0301242i | ||||
\(85\) | 0.176194 | − | 2.13093i | 0.0191109 | − | 0.231132i | ||||
\(86\) | 0.932586 | − | 0.134086i | 0.100563 | − | 0.0144588i | ||||
\(87\) | −3.46196 | − | 9.28188i | −0.371161 | − | 0.995122i | ||||
\(88\) | 1.55049 | + | 2.07121i | 0.165283 | + | 0.220792i | ||||
\(89\) | 1.23189 | + | 0.791689i | 0.130580 | + | 0.0839189i | 0.604300 | − | 0.796757i | \(-0.293453\pi\) |
−0.473720 | + | 0.880676i | \(0.657089\pi\) | |||||||
\(90\) | −1.35981 | + | 1.77509i | −0.143336 | + | 0.187110i | ||||
\(91\) | 2.28345i | 0.239370i | ||||||||
\(92\) | −0.307729 | − | 4.78595i | −0.0320830 | − | 0.498970i | ||||
\(93\) | 1.57355 | + | 1.57355i | 0.163169 | + | 0.163169i | ||||
\(94\) | 5.68650 | − | 4.92738i | 0.586518 | − | 0.508221i | ||||
\(95\) | 5.01719 | + | 11.3168i | 0.514752 | + | 1.16108i | ||||
\(96\) | −0.142315 | + | 0.989821i | −0.0145249 | + | 0.101023i | ||||
\(97\) | −6.31543 | + | 2.35553i | −0.641235 | + | 0.239168i | −0.648984 | − | 0.760802i | \(-0.724806\pi\) |
0.00774950 | + | 0.999970i | \(0.497533\pi\) | |||||||
\(98\) | −4.03866 | + | 5.39502i | −0.407966 | + | 0.544979i | ||||
\(99\) | 2.48246 | + | 0.728917i | 0.249497 | + | 0.0732589i | ||||
\(100\) | 2.79588 | − | 4.14524i | 0.279588 | − | 0.414524i | ||||
\(101\) | 5.92946 | + | 12.9837i | 0.590004 | + | 1.29193i | 0.935440 | + | 0.353485i | \(0.115004\pi\) |
−0.345436 | + | 0.938442i | \(0.612269\pi\) | |||||||
\(102\) | −0.839265 | − | 0.458274i | −0.0830997 | − | 0.0453758i | ||||
\(103\) | 0.0631063 | + | 0.882342i | 0.00621805 | + | 0.0869397i | 0.999613 | − | 0.0278015i | \(-0.00885064\pi\) |
−0.993395 | + | 0.114741i | \(0.963396\pi\) | |||||||
\(104\) | −3.37927 | − | 2.92815i | −0.331365 | − | 0.287129i | ||||
\(105\) | −0.333850 | + | 1.09201i | −0.0325805 | + | 0.106570i | ||||
\(106\) | 2.82853 | − | 1.29175i | 0.274731 | − | 0.125466i | ||||
\(107\) | −13.4013 | − | 2.91527i | −1.29555 | − | 0.281830i | −0.488631 | − | 0.872491i | \(-0.662503\pi\) |
−0.806920 | + | 0.590661i | \(0.798867\pi\) | |||||||
\(108\) | 0.479249 | + | 0.877679i | 0.0461158 | + | 0.0844547i | ||||
\(109\) | 0.195647 | + | 1.36075i | 0.0187396 | + | 0.130337i | 0.997044 | − | 0.0768377i | \(-0.0244823\pi\) |
−0.978304 | + | 0.207174i | \(0.933573\pi\) | |||||||
\(110\) | −5.63910 | − | 1.29241i | −0.537667 | − | 0.123226i | ||||
\(111\) | −0.928868 | − | 0.133551i | −0.0881642 | − | 0.0126761i | ||||
\(112\) | 0.108552 | + | 0.499006i | 0.0102572 | + | 0.0471516i | ||||
\(113\) | 18.2410 | + | 1.30462i | 1.71597 | + | 0.122729i | 0.894368 | − | 0.447333i | \(-0.147626\pi\) |
0.821602 | + | 0.570061i | \(0.193081\pi\) | |||||||
\(114\) | 5.53609 | 0.518502 | ||||||||
\(115\) | 7.44295 | + | 7.72026i | 0.694059 | + | 0.719918i | ||||
\(116\) | 9.90648 | 0.919794 | ||||||||
\(117\) | −4.46002 | − | 0.318987i | −0.412329 | − | 0.0294904i | ||||
\(118\) | 2.73832 | + | 12.5878i | 0.252083 | + | 1.15881i | ||||
\(119\) | −0.483355 | − | 0.0694960i | −0.0443091 | − | 0.00637069i | ||||
\(120\) | −1.18796 | − | 1.89440i | −0.108446 | − | 0.172934i | ||||
\(121\) | −0.612815 | − | 4.26222i | −0.0557105 | − | 0.387475i | ||||
\(122\) | 1.84927 | + | 3.38669i | 0.167425 | + | 0.306617i | ||||
\(123\) | −9.35284 | − | 2.03459i | −0.843317 | − | 0.183452i | ||||
\(124\) | −2.02423 | + | 0.924437i | −0.181782 | + | 0.0830169i | ||||
\(125\) | 1.22192 | + | 11.1134i | 0.109291 | + | 0.994010i | ||||
\(126\) | 0.385944 | + | 0.334422i | 0.0343826 | + | 0.0297927i | ||||
\(127\) | −0.707018 | − | 9.88540i | −0.0627377 | − | 0.877187i | −0.927218 | − | 0.374521i | \(-0.877807\pi\) |
0.864481 | − | 0.502666i | \(-0.167647\pi\) | |||||||
\(128\) | −0.877679 | − | 0.479249i | −0.0775766 | − | 0.0423600i | ||||
\(129\) | 0.391394 | + | 0.857033i | 0.0344603 | + | 0.0754576i | ||||
\(130\) | 9.99777 | + | 0.110945i | 0.876862 | + | 0.00973050i | ||||
\(131\) | −4.72860 | − | 1.38844i | −0.413140 | − | 0.121309i | 0.0685560 | − | 0.997647i | \(-0.478161\pi\) |
−0.481696 | + | 0.876338i | \(0.659979\pi\) | |||||||
\(132\) | −1.55049 | + | 2.07121i | −0.134953 | + | 0.180276i | ||||
\(133\) | 2.64890 | − | 0.987988i | 0.229689 | − | 0.0856694i | ||||
\(134\) | −0.876591 | + | 6.09683i | −0.0757260 | + | 0.526686i | ||||
\(135\) | −2.08628 | − | 0.804625i | −0.179559 | − | 0.0692511i | ||||
\(136\) | 0.722672 | − | 0.626199i | 0.0619687 | − | 0.0536961i | ||||
\(137\) | −5.79056 | − | 5.79056i | −0.494721 | − | 0.494721i | 0.415069 | − | 0.909790i | \(-0.363757\pi\) |
−0.909790 | + | 0.415069i | \(0.863757\pi\) | |||||||
\(138\) | 4.50539 | − | 1.64362i | 0.383524 | − | 0.139914i | ||||
\(139\) | 8.01319i | 0.679670i | 0.940485 | + | 0.339835i | \(0.110371\pi\) | ||||
−0.940485 | + | 0.339835i | \(0.889629\pi\) | |||||||
\(140\) | −0.906494 | − | 0.694421i | −0.0766128 | − | 0.0586893i | ||||
\(141\) | 6.32986 | + | 4.06795i | 0.533070 | + | 0.342584i | ||||
\(142\) | 4.73644 | + | 6.32714i | 0.397473 | + | 0.530962i | ||||
\(143\) | −4.04286 | − | 10.8393i | −0.338081 | − | 0.906430i | ||||
\(144\) | −0.989821 | + | 0.142315i | −0.0824851 | + | 0.0118596i | ||||
\(145\) | −16.9010 | + | 14.3195i | −1.40355 | + | 1.18917i | ||||
\(146\) | −2.50801 | + | 1.61180i | −0.207564 | + | 0.133393i | ||||
\(147\) | −6.31430 | − | 2.35511i | −0.520795 | − | 0.194246i | ||||
\(148\) | 0.449737 | − | 0.823631i | 0.0369681 | − | 0.0677021i | ||||
\(149\) | −12.3890 | + | 14.2977i | −1.01495 | + | 1.17132i | −0.0298115 | + | 0.999556i | \(0.509491\pi\) |
−0.985139 | + | 0.171760i | \(0.945055\pi\) | |||||||
\(150\) | 4.76502 | + | 1.51478i | 0.389063 | + | 0.123681i | ||||
\(151\) | 1.99256 | − | 0.585069i | 0.162152 | − | 0.0476122i | −0.199649 | − | 0.979868i | \(-0.563980\pi\) |
0.361801 | + | 0.932255i | \(0.382162\pi\) | |||||||
\(152\) | −1.93466 | + | 5.18704i | −0.156922 | + | 0.420724i | ||||
\(153\) | 0.203262 | − | 0.934380i | 0.0164327 | − | 0.0755401i | ||||
\(154\) | −0.372241 | + | 1.26774i | −0.0299960 | + | 0.102157i | ||||
\(155\) | 2.11720 | − | 4.50311i | 0.170058 | − | 0.361699i | ||||
\(156\) | 1.85749 | − | 4.06734i | 0.148718 | − | 0.325648i | ||||
\(157\) | −6.77069 | + | 5.06848i | −0.540360 | + | 0.404509i | −0.834296 | − | 0.551317i | \(-0.814126\pi\) |
0.293936 | + | 0.955825i | \(0.405035\pi\) | |||||||
\(158\) | −13.9529 | + | 3.03526i | −1.11003 | + | 0.241472i | ||||
\(159\) | 2.03631 | + | 2.35003i | 0.161490 | + | 0.186369i | ||||
\(160\) | 2.19011 | − | 0.451036i | 0.173143 | − | 0.0356575i | ||||
\(161\) | 1.86240 | − | 1.59048i | 0.146778 | − | 0.125348i | ||||
\(162\) | −0.707107 | + | 0.707107i | −0.0555556 | + | 0.0555556i | ||||
\(163\) | −1.07253 | + | 14.9960i | −0.0840073 | + | 1.17458i | 0.764224 | + | 0.644951i | \(0.223122\pi\) |
−0.848232 | + | 0.529625i | \(0.822333\pi\) | |||||||
\(164\) | 5.17479 | − | 8.05213i | 0.404083 | − | 0.628765i | ||||
\(165\) | −0.348662 | − | 5.77479i | −0.0271433 | − | 0.449567i | ||||
\(166\) | −13.6462 | − | 6.23199i | −1.05915 | − | 0.483696i | ||||
\(167\) | 15.2464 | + | 11.4133i | 1.17980 | + | 0.883191i | 0.995029 | − | 0.0995898i | \(-0.0317531\pi\) |
0.184776 | + | 0.982781i | \(0.440844\pi\) | |||||||
\(168\) | −0.448210 | + | 0.244741i | −0.0345802 | + | 0.0188822i | ||||
\(169\) | 3.78099 | + | 5.88334i | 0.290846 | + | 0.452565i | ||||
\(170\) | −0.327764 | + | 2.11293i | −0.0251383 | + | 0.162054i | ||||
\(171\) | 1.55970 | + | 5.31184i | 0.119273 | + | 0.406206i | ||||
\(172\) | −0.939775 | + | 0.0672140i | −0.0716572 | + | 0.00512502i | ||||
\(173\) | 20.9356 | − | 1.49734i | 1.59170 | − | 0.113841i | 0.752846 | − | 0.658196i | \(-0.228680\pi\) |
0.838855 | + | 0.544356i | \(0.183226\pi\) | |||||||
\(174\) | 2.79098 | + | 9.50520i | 0.211584 | + | 0.720588i | ||||
\(175\) | 2.55029 | − | 0.125593i | 0.192784 | − | 0.00949395i | ||||
\(176\) | −1.39878 | − | 2.17655i | −0.105437 | − | 0.164063i | ||||
\(177\) | −11.3065 | + | 6.17380i | −0.849847 | + | 0.464051i | ||||
\(178\) | −1.17228 | − | 0.877555i | −0.0878658 | − | 0.0657755i | ||||
\(179\) | −4.54563 | − | 2.07592i | −0.339757 | − | 0.155162i | 0.238228 | − | 0.971209i | \(-0.423433\pi\) |
−0.577985 | + | 0.816048i | \(0.696161\pi\) | |||||||
\(180\) | 1.48297 | − | 1.67355i | 0.110534 | − | 0.124739i | ||||
\(181\) | −6.78877 | + | 10.5635i | −0.504605 | + | 0.785181i | −0.996332 | − | 0.0855684i | \(-0.972729\pi\) |
0.491727 | + | 0.870749i | \(0.336366\pi\) | |||||||
\(182\) | 0.162899 | − | 2.27763i | 0.0120749 | − | 0.168829i | ||||
\(183\) | −2.72851 | + | 2.72851i | −0.201697 | + | 0.201697i | ||||
\(184\) | −0.0344808 | + | 4.79571i | −0.00254196 | + | 0.353544i | ||||
\(185\) | 0.423261 | + | 2.05524i | 0.0311188 | + | 0.151104i | ||||
\(186\) | −1.45728 | − | 1.68180i | −0.106853 | − | 0.123315i | ||||
\(187\) | 2.41749 | − | 0.525893i | 0.176784 | − | 0.0384571i | ||||
\(188\) | −6.02353 | + | 4.50916i | −0.439311 | + | 0.328864i | ||||
\(189\) | −0.212143 | + | 0.464528i | −0.0154311 | + | 0.0337894i | ||||
\(190\) | −4.19707 | − | 11.6459i | −0.304488 | − | 0.844879i | ||||
\(191\) | 3.78068 | − | 12.8758i | 0.273560 | − | 0.931660i | −0.702046 | − | 0.712132i | \(-0.747730\pi\) |
0.975606 | − | 0.219529i | \(-0.0704519\pi\) | |||||||
\(192\) | 0.212565 | − | 0.977147i | 0.0153406 | − | 0.0705195i | ||||
\(193\) | −1.68287 | + | 4.51194i | −0.121135 | + | 0.324776i | −0.983338 | − | 0.181787i | \(-0.941812\pi\) |
0.862203 | + | 0.506564i | \(0.169084\pi\) | |||||||
\(194\) | 6.46738 | − | 1.89899i | 0.464331 | − | 0.136340i | ||||
\(195\) | 2.71025 | + | 9.62405i | 0.194085 | + | 0.689192i | ||||
\(196\) | 4.41324 | − | 5.09315i | 0.315232 | − | 0.363797i | ||||
\(197\) | −6.49645 | + | 11.8974i | −0.462853 | + | 0.847651i | 0.537139 | + | 0.843494i | \(0.319505\pi\) |
−0.999991 | + | 0.00415738i | \(0.998677\pi\) | |||||||
\(198\) | −2.42414 | − | 0.904157i | −0.172276 | − | 0.0642556i | ||||
\(199\) | −6.41867 | + | 4.12503i | −0.455008 | + | 0.292416i | −0.748000 | − | 0.663699i | \(-0.768985\pi\) |
0.292992 | + | 0.956115i | \(0.405349\pi\) | |||||||
\(200\) | −3.08448 | + | 3.93523i | −0.218105 | + | 0.278263i | ||||
\(201\) | −6.09683 | + | 0.876591i | −0.430037 | + | 0.0618300i | ||||
\(202\) | −4.98811 | − | 13.3736i | −0.350962 | − | 0.940966i | ||||
\(203\) | 3.03175 | + | 4.04995i | 0.212787 | + | 0.284250i | ||||
\(204\) | 0.804434 | + | 0.516978i | 0.0563217 | + | 0.0361957i | ||||
\(205\) | 2.81066 | + | 21.2174i | 0.196305 | + | 1.48188i | ||||
\(206\) | − | 0.884596i | − | 0.0616327i | ||||||
\(207\) | 2.84636 | + | 3.85983i | 0.197835 | + | 0.268276i | ||||
\(208\) | 3.16177 | + | 3.16177i | 0.219229 | + | 0.219229i | ||||
\(209\) | −10.8249 | + | 9.37979i | −0.748771 | + | 0.648814i | ||||
\(210\) | 0.410903 | − | 1.06542i | 0.0283550 | − | 0.0735207i | ||||
\(211\) | −2.24097 | + | 15.5863i | −0.154275 | + | 1.07300i | 0.754676 | + | 0.656098i | \(0.227794\pi\) |
−0.908950 | + | 0.416905i | \(0.863115\pi\) | |||||||
\(212\) | −2.91348 | + | 1.08667i | −0.200099 | + | 0.0746329i | ||||
\(213\) | −4.73644 | + | 6.32714i | −0.324535 | + | 0.433529i | ||||
\(214\) | 13.1592 | + | 3.86388i | 0.899542 | + | 0.264129i | ||||
\(215\) | 1.50615 | − | 1.47309i | 0.102719 | − | 0.100464i | ||||
\(216\) | −0.415415 | − | 0.909632i | −0.0282654 | − | 0.0618926i | ||||
\(217\) | −0.997417 | − | 0.544631i | −0.0677091 | − | 0.0369720i | ||||
\(218\) | −0.0980733 | − | 1.37124i | −0.00664236 | − | 0.0928724i | ||||
\(219\) | −2.25309 | − | 1.95232i | −0.152250 | − | 0.131925i | ||||
\(220\) | 5.53253 | + | 1.69140i | 0.373003 | + | 0.114034i | ||||
\(221\) | −3.88932 | + | 1.77619i | −0.261624 | + | 0.119480i | ||||
\(222\) | 0.916974 | + | 0.199475i | 0.0615432 | + | 0.0133879i | ||||
\(223\) | −5.62381 | − | 10.2992i | −0.376598 | − | 0.689687i | 0.618797 | − | 0.785551i | \(-0.287620\pi\) |
−0.995394 | + | 0.0958638i | \(0.969439\pi\) | |||||||
\(224\) | −0.0726768 | − | 0.505479i | −0.00485593 | − | 0.0337737i | ||||
\(225\) | −0.110956 | + | 4.99877i | −0.00739706 | + | 0.333251i | ||||
\(226\) | −18.1015 | − | 2.60260i | −1.20409 | − | 0.173122i | ||||
\(227\) | −2.91698 | − | 13.4091i | −0.193607 | − | 0.889996i | −0.966742 | − | 0.255754i | \(-0.917676\pi\) |
0.773135 | − | 0.634241i | \(-0.218687\pi\) | |||||||
\(228\) | −5.52198 | − | 0.394940i | −0.365702 | − | 0.0261555i | ||||
\(229\) | 8.33186 | 0.550585 | 0.275292 | − | 0.961361i | \(-0.411225\pi\) | ||||
0.275292 | + | 0.961361i | \(0.411225\pi\) | |||||||
\(230\) | −6.87323 | − | 8.23157i | −0.453207 | − | 0.542773i | ||||
\(231\) | −1.32126 | −0.0869323 | ||||||||
\(232\) | −9.88124 | − | 0.706721i | −0.648735 | − | 0.0463985i | ||||
\(233\) | 0.940730 | + | 4.32447i | 0.0616293 | + | 0.283305i | 0.997640 | − | 0.0686673i | \(-0.0218747\pi\) |
−0.936010 | + | 0.351973i | \(0.885511\pi\) | |||||||
\(234\) | 4.42590 | + | 0.636349i | 0.289330 | + | 0.0415994i | ||||
\(235\) | 3.75860 | − | 16.3997i | 0.245184 | − | 1.06980i | ||||
\(236\) | −1.83333 | − | 12.7511i | −0.119340 | − | 0.830027i | ||||
\(237\) | −6.84329 | − | 12.5326i | −0.444520 | − | 0.814077i | ||||
\(238\) | 0.477166 | + | 0.103801i | 0.0309301 | + | 0.00672842i | ||||
\(239\) | 22.6919 | − | 10.3630i | 1.46782 | − | 0.670330i | 0.488482 | − | 0.872574i | \(-0.337551\pi\) |
0.979335 | + | 0.202244i | \(0.0648234\pi\) | |||||||
\(240\) | 1.04979 | + | 1.97432i | 0.0677637 | + | 0.127442i | ||||
\(241\) | −13.2575 | − | 11.4877i | −0.853990 | − | 0.739986i | 0.113327 | − | 0.993558i | \(-0.463849\pi\) |
−0.967317 | + | 0.253571i | \(0.918395\pi\) | |||||||
\(242\) | 0.307190 | + | 4.29508i | 0.0197469 | + | 0.276098i | ||||
\(243\) | −0.877679 | − | 0.479249i | −0.0563031 | − | 0.0307438i | ||||
\(244\) | −1.60296 | − | 3.50999i | −0.102619 | − | 0.224704i | ||||
\(245\) | −0.167213 | + | 15.0684i | −0.0106829 | + | 0.962685i | ||||
\(246\) | 9.18386 | + | 2.69663i | 0.585542 | + | 0.171931i | ||||
\(247\) | 14.8346 | − | 19.8167i | 0.943903 | − | 1.26091i | ||||
\(248\) | 2.08503 | − | 0.777674i | 0.132399 | − | 0.0493824i | ||||
\(249\) | 2.13499 | − | 14.8492i | 0.135299 | − | 0.941027i | ||||
\(250\) | −0.425983 | − | 11.1722i | −0.0269416 | − | 0.706593i | ||||
\(251\) | −14.1158 | + | 12.2314i | −0.890979 | + | 0.772038i | −0.974481 | − | 0.224470i | \(-0.927935\pi\) |
0.0835019 | + | 0.996508i | \(0.473390\pi\) | |||||||
\(252\) | −0.361103 | − | 0.361103i | −0.0227473 | − | 0.0227473i | ||||
\(253\) | −6.02471 | + | 10.8473i | −0.378770 | + | 0.681963i | ||||
\(254\) | 9.91065i | 0.621849i | ||||||||
\(255\) | −2.11968 | + | 0.280794i | −0.132740 | + | 0.0175840i | ||||
\(256\) | 0.841254 | + | 0.540641i | 0.0525783 | + | 0.0337901i | ||||
\(257\) | 12.9691 | + | 17.3247i | 0.808990 | + | 1.08068i | 0.995170 | + | 0.0981683i | \(0.0312984\pi\) |
−0.186180 | + | 0.982516i | \(0.559611\pi\) | |||||||
\(258\) | −0.329257 | − | 0.882771i | −0.0204986 | − | 0.0549589i | ||||
\(259\) | 0.474351 | − | 0.0682014i | 0.0294747 | − | 0.00423783i | ||||
\(260\) | −9.96438 | − | 0.823895i | −0.617965 | − | 0.0510958i | ||||
\(261\) | −8.33387 | + | 5.35585i | −0.515853 | + | 0.331519i | ||||
\(262\) | 4.61750 | + | 1.72224i | 0.285270 | + | 0.106400i | ||||
\(263\) | 5.49488 | − | 10.0631i | 0.338829 | − | 0.620518i | −0.651597 | − | 0.758565i | \(-0.725901\pi\) |
0.990426 | + | 0.138047i | \(0.0440825\pi\) | |||||||
\(264\) | 1.69430 | − | 1.95533i | 0.104277 | − | 0.120342i | ||||
\(265\) | 3.39979 | − | 6.06527i | 0.208848 | − | 0.372586i | ||||
\(266\) | −2.71263 | + | 0.796500i | −0.166322 | + | 0.0488366i | ||||
\(267\) | 0.511739 | − | 1.37203i | 0.0313179 | − | 0.0839666i | ||||
\(268\) | 1.30930 | − | 6.01876i | 0.0799783 | − | 0.367654i | ||||
\(269\) | 5.98518 | − | 20.3837i | 0.364923 | − | 1.24281i | −0.548620 | − | 0.836072i | \(-0.684847\pi\) |
0.913543 | − | 0.406742i | \(-0.133335\pi\) | |||||||
\(270\) | 2.02357 | + | 0.951409i | 0.123150 | + | 0.0579009i | ||||
\(271\) | 11.4494 | − | 25.0706i | 0.695500 | − | 1.52293i | −0.149844 | − | 0.988710i | \(-0.547877\pi\) |
0.845344 | − | 0.534222i | \(-0.179395\pi\) | |||||||
\(272\) | −0.765504 | + | 0.573049i | −0.0464155 | + | 0.0347462i | ||||
\(273\) | 2.23126 | − | 0.485381i | 0.135042 | − | 0.0293766i | ||||
\(274\) | 5.36271 | + | 6.18890i | 0.323973 | + | 0.373885i | ||||
\(275\) | −11.8837 | + | 5.11149i | −0.716612 | + | 0.308235i | ||||
\(276\) | −4.61116 | + | 1.31802i | −0.277559 | + | 0.0793357i | ||||
\(277\) | −3.82464 | + | 3.82464i | −0.229800 | + | 0.229800i | −0.812609 | − | 0.582809i | \(-0.801954\pi\) |
0.582809 | + | 0.812609i | \(0.301954\pi\) | |||||||
\(278\) | 0.571655 | − | 7.99278i | 0.0342856 | − | 0.479375i | ||||
\(279\) | 1.20311 | − | 1.87207i | 0.0720281 | − | 0.112078i | ||||
\(280\) | 0.854645 | + | 0.757320i | 0.0510748 | + | 0.0452585i | ||||
\(281\) | 6.86060 | + | 3.13313i | 0.409269 | + | 0.186907i | 0.609401 | − | 0.792862i | \(-0.291410\pi\) |
−0.200132 | + | 0.979769i | \(0.564137\pi\) | |||||||
\(282\) | −6.02353 | − | 4.50916i | −0.358696 | − | 0.268516i | ||||
\(283\) | −9.58838 | + | 5.23565i | −0.569970 | + | 0.311227i | −0.738266 | − | 0.674509i | \(-0.764355\pi\) |
0.168296 | + | 0.985736i | \(0.446173\pi\) | |||||||
\(284\) | −4.27300 | − | 6.64892i | −0.253556 | − | 0.394541i | ||||
\(285\) | 9.99166 | − | 7.30808i | 0.591855 | − | 0.432893i | ||||
\(286\) | 3.25929 | + | 11.1001i | 0.192726 | + | 0.656364i | ||||
\(287\) | 4.87553 | − | 0.348705i | 0.287793 | − | 0.0205834i | ||||
\(288\) | 0.997452 | − | 0.0713392i | 0.0587754 | − | 0.00420370i | ||||
\(289\) | 4.53184 | + | 15.4340i | 0.266579 | + | 0.907885i | ||||
\(290\) | 17.8795 | − | 13.0774i | 1.04992 | − | 0.767929i | ||||
\(291\) | 3.64414 | + | 5.67040i | 0.213624 | + | 0.332405i | ||||
\(292\) | 2.61660 | − | 1.42877i | 0.153125 | − | 0.0836125i | ||||
\(293\) | −15.9812 | − | 11.9634i | −0.933630 | − | 0.698907i | 0.0200281 | − | 0.999799i | \(-0.493624\pi\) |
−0.953658 | + | 0.300893i | \(0.902715\pi\) | |||||||
\(294\) | 6.13020 | + | 2.79957i | 0.357521 | + | 0.163274i | ||||
\(295\) | 21.5591 | + | 19.1040i | 1.25522 | + | 1.11228i | ||||
\(296\) | −0.507348 | + | 0.789449i | −0.0294890 | + | 0.0458858i | ||||
\(297\) | 0.184573 | − | 2.58067i | 0.0107100 | − | 0.149746i | ||||
\(298\) | 13.3775 | − | 13.3775i | 0.774936 | − | 0.774936i | ||||
\(299\) | 6.18929 | − | 20.5315i | 0.357936 | − | 1.18737i | ||||
\(300\) | −4.64482 | − | 1.85085i | −0.268169 | − | 0.106859i | ||||
\(301\) | −0.315084 | − | 0.363627i | −0.0181612 | − | 0.0209591i | ||||
\(302\) | −2.02922 | + | 0.441430i | −0.116769 | + | 0.0254015i | ||||
\(303\) | 11.4266 | − | 8.55384i | 0.656441 | − | 0.491405i | ||||
\(304\) | 2.29977 | − | 5.03580i | 0.131901 | − | 0.288823i | ||||
\(305\) | 7.80832 | + | 3.67119i | 0.447103 | + | 0.210212i | ||||
\(306\) | −0.269402 | + | 0.917499i | −0.0154007 | + | 0.0524499i | ||||
\(307\) | 2.07106 | − | 9.52053i | 0.118202 | − | 0.543365i | −0.879517 | − | 0.475867i | \(-0.842134\pi\) |
0.997719 | − | 0.0674988i | \(-0.0215019\pi\) | |||||||
\(308\) | 0.461732 | − | 1.23795i | 0.0263096 | − | 0.0705388i | ||||
\(309\) | 0.848763 | − | 0.249219i | 0.0482845 | − | 0.0141776i | ||||
\(310\) | −2.43306 | + | 4.34060i | −0.138188 | + | 0.246529i | ||||
\(311\) | 11.5872 | − | 13.3723i | 0.657048 | − | 0.758274i | −0.325244 | − | 0.945630i | \(-0.605446\pi\) |
0.982292 | + | 0.187356i | \(0.0599919\pi\) | |||||||
\(312\) | −2.14292 | + | 3.92447i | −0.121319 | + | 0.222179i | ||||
\(313\) | −22.1611 | − | 8.26566i | −1.25262 | − | 0.467203i | −0.366395 | − | 0.930459i | \(-0.619408\pi\) |
−0.886224 | + | 0.463256i | \(0.846681\pi\) | |||||||
\(314\) | 7.11502 | − | 4.57255i | 0.401524 | − | 0.258044i | ||||
\(315\) | 1.13802 | + | 0.0940964i | 0.0641204 | + | 0.00530173i | ||||
\(316\) | 14.1339 | − | 2.03214i | 0.795092 | − | 0.114317i | ||||
\(317\) | −4.63391 | − | 12.4240i | −0.260266 | − | 0.697801i | −0.999698 | − | 0.0245693i | \(-0.992179\pi\) |
0.739432 | − | 0.673231i | \(-0.235094\pi\) | |||||||
\(318\) | −1.86348 | − | 2.48931i | −0.104498 | − | 0.139594i | ||||
\(319\) | −21.5619 | − | 13.8570i | −1.20724 | − | 0.775844i | ||||
\(320\) | −2.21670 | + | 0.293647i | −0.123917 | + | 0.0164153i | ||||
\(321\) | 13.7147i | 0.765480i | ||||||||
\(322\) | −1.97112 | + | 1.45357i | −0.109846 | + | 0.0810042i | ||||
\(323\) | 3.74327 | + | 3.74327i | 0.208281 | + | 0.208281i | ||||
\(324\) | 0.755750 | − | 0.654861i | 0.0419861 | − | 0.0363812i | ||||
\(325\) | 18.1907 | − | 12.9976i | 1.00904 | − | 0.720978i | ||||
\(326\) | 2.13960 | − | 14.8813i | 0.118502 | − | 0.824197i | ||||
\(327\) | 1.28807 | − | 0.480425i | 0.0712304 | − | 0.0265676i | ||||
\(328\) | −5.73603 | + | 7.66245i | −0.316720 | + | 0.423088i | ||||
\(329\) | −3.68685 | − | 1.08256i | −0.203262 | − | 0.0596832i | ||||
\(330\) | −0.0641953 | + | 5.78495i | −0.00353383 | + | 0.318451i | ||||
\(331\) | 2.10640 | + | 4.61237i | 0.115778 | + | 0.253519i | 0.958646 | − | 0.284602i | \(-0.0918616\pi\) |
−0.842868 | + | 0.538121i | \(0.819134\pi\) | |||||||
\(332\) | 13.1668 | + | 7.18962i | 0.722622 | + | 0.394582i | ||||
\(333\) | 0.0669461 | + | 0.936029i | 0.00366862 | + | 0.0512941i | ||||
\(334\) | −14.3934 | − | 12.4719i | −0.787570 | − | 0.682434i | ||||
\(335\) | 6.46621 | + | 12.1609i | 0.353287 | + | 0.664419i | ||||
\(336\) | 0.464528 | − | 0.212143i | 0.0253421 | − | 0.0115733i | ||||
\(337\) | −32.6223 | − | 7.09654i | −1.77705 | − | 0.386573i | −0.800069 | − | 0.599907i | \(-0.795204\pi\) |
−0.976979 | + | 0.213334i | \(0.931568\pi\) | |||||||
\(338\) | −3.35165 | − | 6.13808i | −0.182306 | − | 0.333868i | ||||
\(339\) | −2.60260 | − | 18.1015i | −0.141354 | − | 0.983137i | ||||
\(340\) | 0.477663 | − | 2.08416i | 0.0259049 | − | 0.113030i | ||||
\(341\) | 5.69893 | + | 0.819382i | 0.308614 | + | 0.0443720i | ||||
\(342\) | −1.17678 | − | 5.40957i | −0.0636330 | − | 0.292516i | ||||
\(343\) | 6.99841 | + | 0.500537i | 0.377879 | + | 0.0270264i | ||||
\(344\) | 0.942176 | 0.0507987 | ||||||||
\(345\) | 5.96172 | − | 8.91392i | 0.320968 | − | 0.479909i | ||||
\(346\) | −20.9890 | −1.12838 | ||||||||
\(347\) | 30.4296 | + | 2.17637i | 1.63355 | + | 0.116834i | 0.857722 | − | 0.514113i | \(-0.171879\pi\) |
0.775826 | + | 0.630947i | \(0.217333\pi\) | |||||||
\(348\) | −2.10577 | − | 9.68009i | −0.112881 | − | 0.518907i | ||||
\(349\) | −18.2585 | − | 2.62518i | −0.977357 | − | 0.140523i | −0.364917 | − | 0.931040i | \(-0.618903\pi\) |
−0.612440 | + | 0.790517i | \(0.709812\pi\) | |||||||
\(350\) | −2.55275 | − | 0.0566626i | −0.136450 | − | 0.00302874i | ||||
\(351\) | 0.636349 | + | 4.42590i | 0.0339658 | + | 0.236237i | ||||
\(352\) | 1.23994 | + | 2.27079i | 0.0660893 | + | 0.121033i | ||||
\(353\) | −3.74833 | − | 0.815400i | −0.199504 | − | 0.0433993i | 0.111703 | − | 0.993742i | \(-0.464369\pi\) |
−0.311207 | + | 0.950342i | \(0.600733\pi\) | |||||||
\(354\) | 11.7181 | − | 5.35148i | 0.622810 | − | 0.284428i | ||||
\(355\) | 16.9008 | + | 5.16690i | 0.897000 | + | 0.274230i | ||||
\(356\) | 1.10668 | + | 0.958948i | 0.0586542 | + | 0.0508241i | ||||
\(357\) | 0.0348367 | + | 0.487081i | 0.00184376 | + | 0.0257791i | ||||
\(358\) | 4.38596 | + | 2.39491i | 0.231805 | + | 0.126575i | ||||
\(359\) | −5.71286 | − | 12.5094i | −0.301513 | − | 0.660222i | 0.696862 | − | 0.717205i | \(-0.254579\pi\) |
−0.998375 | + | 0.0569836i | \(0.981852\pi\) | |||||||
\(360\) | −1.59859 | + | 1.56350i | −0.0842529 | + | 0.0824035i | ||||
\(361\) | −11.1764 | − | 3.28170i | −0.588233 | − | 0.172721i | ||||
\(362\) | 7.52506 | − | 10.0523i | 0.395509 | − | 0.528338i | ||||
\(363\) | −4.03456 | + | 1.50481i | −0.211759 | + | 0.0789821i | ||||
\(364\) | −0.324968 | + | 2.26020i | −0.0170330 | + | 0.118467i | ||||
\(365\) | −2.39881 | + | 6.21978i | −0.125559 | + | 0.325558i | ||||
\(366\) | 2.91621 | − | 2.52691i | 0.152432 | − | 0.132084i | ||||
\(367\) | −0.954106 | − | 0.954106i | −0.0498040 | − | 0.0498040i | 0.681766 | − | 0.731570i | \(-0.261212\pi\) |
−0.731570 | + | 0.681766i | \(0.761212\pi\) | |||||||
\(368\) | 0.376515 | − | 4.78103i | 0.0196272 | − | 0.249228i | ||||
\(369\) | 9.57158i | 0.498277i | ||||||||
\(370\) | −0.275564 | − | 2.08020i | −0.0143259 | − | 0.108144i | ||||
\(371\) | −1.33588 | − | 0.858520i | −0.0693556 | − | 0.0445721i | ||||
\(372\) | 1.33359 | + | 1.78147i | 0.0691436 | + | 0.0923650i | ||||
\(373\) | −6.87339 | − | 18.4283i | −0.355891 | − | 0.954179i | −0.984332 | − | 0.176323i | \(-0.943580\pi\) |
0.628442 | − | 0.777857i | \(-0.283693\pi\) | |||||||
\(374\) | −2.44885 | + | 0.352091i | −0.126627 | + | 0.0182062i | ||||
\(375\) | 10.5997 | − | 3.55631i | 0.547364 | − | 0.183647i | ||||
\(376\) | 6.32986 | − | 4.06795i | 0.326438 | − | 0.209789i | ||||
\(377\) | 41.5031 | + | 15.4799i | 2.13752 | + | 0.797253i | ||||
\(378\) | 0.244741 | − | 0.448210i | 0.0125881 | − | 0.0230534i | ||||
\(379\) | −13.6774 | + | 15.7846i | −0.702561 | + | 0.810798i | −0.989096 | − | 0.147271i | \(-0.952951\pi\) |
0.286535 | + | 0.958070i | \(0.407496\pi\) | |||||||
\(380\) | 3.35557 | + | 11.9156i | 0.172137 | + | 0.611257i | ||||
\(381\) | −9.50920 | + | 2.79215i | −0.487171 | + | 0.143046i | ||||
\(382\) | −4.68959 | + | 12.5733i | −0.239940 | + | 0.643305i | ||||
\(383\) | 3.89270 | − | 17.8945i | 0.198908 | − | 0.914364i | −0.764144 | − | 0.645046i | \(-0.776838\pi\) |
0.963051 | − | 0.269318i | \(-0.0867982\pi\) | |||||||
\(384\) | −0.281733 | + | 0.959493i | −0.0143771 | + | 0.0489639i | ||||
\(385\) | 1.00168 | + | 2.77943i | 0.0510505 | + | 0.141653i | ||||
\(386\) | 2.00046 | − | 4.38039i | 0.101821 | − | 0.222956i | ||||
\(387\) | 0.754250 | − | 0.564625i | 0.0383407 | − | 0.0287015i | ||||
\(388\) | −6.58638 | + | 1.43278i | −0.334373 | + | 0.0727383i | ||||
\(389\) | 12.2630 | + | 14.1522i | 0.621757 | + | 0.717545i | 0.976040 | − | 0.217593i | \(-0.0698205\pi\) |
−0.354283 | + | 0.935138i | \(0.615275\pi\) | |||||||
\(390\) | −2.01677 | − | 9.79287i | −0.102123 | − | 0.495881i | ||||
\(391\) | 4.15770 | + | 1.93501i | 0.210264 | + | 0.0978575i | ||||
\(392\) | −4.76534 | + | 4.76534i | −0.240686 | + | 0.240686i | ||||
\(393\) | −0.351576 | + | 4.91567i | −0.0177347 | + | 0.247963i | ||||
\(394\) | 7.32864 | − | 11.4036i | 0.369212 | − | 0.574504i | ||||
\(395\) | −21.1757 | + | 23.8970i | −1.06546 | + | 1.20239i | ||||
\(396\) | 2.35346 | + | 1.07479i | 0.118266 | + | 0.0540102i | ||||
\(397\) | −13.2784 | − | 9.94011i | −0.666425 | − | 0.498880i | 0.211685 | − | 0.977338i | \(-0.432105\pi\) |
−0.878110 | + | 0.478458i | \(0.841196\pi\) | |||||||
\(398\) | 6.69660 | − | 3.65662i | 0.335670 | − | 0.183290i | ||||
\(399\) | −1.52847 | − | 2.37835i | −0.0765194 | − | 0.119066i | ||||
\(400\) | 3.35735 | − | 3.70516i | 0.167868 | − | 0.185258i | ||||
\(401\) | −1.06254 | − | 3.61867i | −0.0530605 | − | 0.180708i | 0.928699 | − | 0.370834i | \(-0.120928\pi\) |
−0.981760 | + | 0.190127i | \(0.939110\pi\) | |||||||
\(402\) | 6.14383 | − | 0.439415i | 0.306426 | − | 0.0219160i | ||||
\(403\) | −9.92504 | + | 0.709853i | −0.494401 | + | 0.0353603i | ||||
\(404\) | 4.02133 | + | 13.6954i | 0.200069 | + | 0.681372i | ||||
\(405\) | −0.342766 | + | 2.20964i | −0.0170322 | + | 0.109798i | ||||
\(406\) | −2.73511 | − | 4.25591i | −0.135741 | − | 0.211217i | ||||
\(407\) | −2.13095 | + | 1.16359i | −0.105627 | + | 0.0576769i | ||||
\(408\) | −0.765504 | − | 0.573049i | −0.0378981 | − | 0.0283701i | ||||
\(409\) | 8.12539 | + | 3.71074i | 0.401775 | + | 0.183484i | 0.606045 | − | 0.795430i | \(-0.292755\pi\) |
−0.204271 | + | 0.978914i | \(0.565482\pi\) | |||||||
\(410\) | −1.28987 | − | 21.3638i | −0.0637023 | − | 1.05508i | ||||
\(411\) | −4.42736 | + | 6.88910i | −0.218385 | + | 0.339814i | ||||
\(412\) | −0.0631063 | + | 0.882342i | −0.00310903 | + | 0.0434699i | ||||
\(413\) | 4.65182 | − | 4.65182i | 0.228901 | − | 0.228901i | ||||
\(414\) | −2.56375 | − | 4.05305i | −0.126001 | − | 0.199196i | ||||
\(415\) | −32.8556 | + | 6.76638i | −1.61282 | + | 0.332148i | ||||
\(416\) | −2.92815 | − | 3.37927i | −0.143565 | − | 0.165682i | ||||
\(417\) | 7.83007 | − | 1.70333i | 0.383440 | − | 0.0834123i | ||||
\(418\) | 11.4664 | − | 8.58365i | 0.560841 | − | 0.419840i | ||||
\(419\) | −11.2504 | + | 24.6350i | −0.549620 | + | 1.20350i | 0.407339 | + | 0.913277i | \(0.366457\pi\) |
−0.956959 | + | 0.290223i | \(0.906271\pi\) | |||||||
\(420\) | −0.485862 | + | 1.03339i | −0.0237076 | + | 0.0504242i | ||||
\(421\) | 5.35924 | − | 18.2519i | 0.261193 | − | 0.889543i | −0.719583 | − | 0.694407i | \(-0.755667\pi\) |
0.980776 | − | 0.195136i | \(-0.0625149\pi\) | |||||||
\(422\) | 3.34717 | − | 15.3867i | 0.162938 | − | 0.749012i | ||||
\(423\) | 2.62948 | − | 7.04991i | 0.127850 | − | 0.342778i | ||||
\(424\) | 2.98358 | − | 0.876057i | 0.144895 | − | 0.0425451i | ||||
\(425\) | 2.19768 | + | 4.24614i | 0.106603 | + | 0.205968i | ||||
\(426\) | 5.17574 | − | 5.97313i | 0.250766 | − | 0.289399i | ||||
\(427\) | 0.944381 | − | 1.72950i | 0.0457018 | − | 0.0836966i | ||||
\(428\) | −12.8500 | − | 4.79280i | −0.621127 | − | 0.231669i | ||||
\(429\) | −9.73224 | + | 6.25453i | −0.469877 | + | 0.301972i | ||||
\(430\) | −1.60740 | + | 1.36189i | −0.0775157 | + | 0.0656761i | ||||
\(431\) | −33.2619 | + | 4.78233i | −1.60217 | + | 0.230357i | −0.884675 | − | 0.466209i | \(-0.845619\pi\) |
−0.717493 | + | 0.696566i | \(0.754710\pi\) | |||||||
\(432\) | 0.349464 | + | 0.936950i | 0.0168136 | + | 0.0450790i | ||||
\(433\) | 11.3800 | + | 15.2020i | 0.546890 | + | 0.730560i | 0.985791 | − | 0.167976i | \(-0.0537230\pi\) |
−0.438901 | + | 0.898535i | \(0.644632\pi\) | |||||||
\(434\) | 0.956022 | + | 0.614398i | 0.0458905 | + | 0.0294921i | ||||
\(435\) | 17.5849 | + | 13.4709i | 0.843129 | + | 0.645880i | ||||
\(436\) | 1.37475i | 0.0658385i | ||||||||
\(437\) | −26.4954 | + | 1.70361i | −1.26745 | + | 0.0814949i | ||||
\(438\) | 2.10808 | + | 2.10808i | 0.100728 | + | 0.100728i | ||||
\(439\) | −1.66718 | + | 1.44462i | −0.0795701 | + | 0.0689479i | −0.693738 | − | 0.720228i | \(-0.744037\pi\) |
0.614168 | + | 0.789176i | \(0.289492\pi\) | |||||||
\(440\) | −5.39777 | − | 2.08178i | −0.257329 | − | 0.0992449i | ||||
\(441\) | −0.959090 | + | 6.67061i | −0.0456709 | + | 0.317648i | ||||
\(442\) | 4.00613 | − | 1.49421i | 0.190552 | − | 0.0710722i | ||||
\(443\) | 11.5896 | − | 15.4819i | 0.550637 | − | 0.735565i | −0.435739 | − | 0.900073i | \(-0.643513\pi\) |
0.986376 | + | 0.164508i | \(0.0526037\pi\) | |||||||
\(444\) | −0.900407 | − | 0.264383i | −0.0427314 | − | 0.0125471i | ||||
\(445\) | −3.27419 | − | 0.0363336i | −0.155212 | − | 0.00172238i | ||||
\(446\) | 4.87474 | + | 10.6742i | 0.230826 | + | 0.505437i | ||||
\(447\) | 16.6045 | + | 9.06672i | 0.785364 | + | 0.428841i | ||||
\(448\) | 0.0364312 | + | 0.509375i | 0.00172121 | + | 0.0240657i | ||||
\(449\) | −15.6185 | − | 13.5335i | −0.737083 | − | 0.638686i | 0.203177 | − | 0.979142i | \(-0.434873\pi\) |
−0.940261 | + | 0.340456i | \(0.889419\pi\) | |||||||
\(450\) | 0.467281 | − | 4.97812i | 0.0220278 | − | 0.234671i | ||||
\(451\) | −22.5263 | + | 10.2874i | −1.06072 | + | 0.484416i | ||||
\(452\) | 17.8697 | + | 3.88731i | 0.840519 | + | 0.182844i | ||||
\(453\) | −0.995247 | − | 1.82266i | −0.0467608 | − | 0.0856360i | ||||
\(454\) | 1.95295 | + | 13.5831i | 0.0916565 | + | 0.637485i | ||||
\(455\) | −2.71265 | − | 4.32576i | −0.127171 | − | 0.202795i | ||||
\(456\) | 5.47974 | + | 0.787868i | 0.256612 | + | 0.0368953i | ||||
\(457\) | −4.44081 | − | 20.4141i | −0.207732 | − | 0.954931i | −0.956417 | − | 0.292004i | \(-0.905678\pi\) |
0.748685 | − | 0.662926i | \(-0.230686\pi\) | |||||||
\(458\) | −8.31063 | − | 0.594388i | −0.388330 | − | 0.0277739i | ||||
\(459\) | −0.956233 | −0.0446331 | ||||||||
\(460\) | 6.26849 | + | 8.70092i | 0.292270 | + | 0.405683i | ||||
\(461\) | 28.2217 | 1.31442 | 0.657209 | − | 0.753709i | \(-0.271737\pi\) | ||||
0.657209 | + | 0.753709i | \(0.271737\pi\) | |||||||
\(462\) | 1.31789 | + | 0.0942573i | 0.0613138 | + | 0.00438525i | ||||
\(463\) | −0.245614 | − | 1.12907i | −0.0114147 | − | 0.0524723i | 0.971087 | − | 0.238725i | \(-0.0767294\pi\) |
−0.982502 | + | 0.186252i | \(0.940366\pi\) | |||||||
\(464\) | 9.80565 | + | 1.40984i | 0.455216 | + | 0.0654502i | ||||
\(465\) | −4.85024 | − | 1.11161i | −0.224925 | − | 0.0515498i | ||||
\(466\) | −0.629829 | − | 4.38056i | −0.0291763 | − | 0.202925i | ||||
\(467\) | 5.81066 | + | 10.6414i | 0.268885 | + | 0.492426i | 0.976879 | − | 0.213792i | \(-0.0685815\pi\) |
−0.707994 | + | 0.706218i | \(0.750400\pi\) | |||||||
\(468\) | −4.36923 | − | 0.950467i | −0.201968 | − | 0.0439354i | ||||
\(469\) | 2.86127 | − | 1.30670i | 0.132121 | − | 0.0603377i | ||||
\(470\) | −4.91896 | + | 16.0898i | −0.226895 | + | 0.742166i | ||||
\(471\) | 6.39186 | + | 5.53858i | 0.294521 | + | 0.255204i | ||||
\(472\) | 0.919009 | + | 12.8494i | 0.0423008 | + | 0.591443i | ||||
\(473\) | 2.13948 | + | 1.16825i | 0.0983735 | + | 0.0537160i | ||||
\(474\) | 5.93179 | + | 12.9888i | 0.272456 | + | 0.596596i | ||||
\(475\) | −22.9484 | − | 15.4782i | −1.05295 | − | 0.710190i | ||||
\(476\) | −0.468545 | − | 0.137577i | −0.0214757 | − | 0.00630584i | ||||
\(477\) | 1.86348 | − | 2.48931i | 0.0853227 | − | 0.113978i | ||||
\(478\) | −23.3734 | + | 8.71782i | −1.06907 | + | 0.398744i | ||||
\(479\) | −4.80678 | + | 33.4319i | −0.219627 | + | 1.52754i | 0.519791 | + | 0.854294i | \(0.326010\pi\) |
−0.739418 | + | 0.673247i | \(0.764899\pi\) | |||||||
\(480\) | −0.906269 | − | 2.04418i | −0.0413653 | − | 0.0933037i | ||||
\(481\) | 3.17117 | − | 2.74784i | 0.144593 | − | 0.125291i | ||||
\(482\) | 12.4042 | + | 12.4042i | 0.564995 | + | 0.564995i | ||||
\(483\) | −1.95002 | − | 1.48176i | −0.0887289 | − | 0.0674224i | ||||
\(484\) | − | 4.30605i | − | 0.195730i | ||||||
\(485\) | 9.16566 | − | 11.9648i | 0.416191 | − | 0.543294i | ||||
\(486\) | 0.841254 | + | 0.540641i | 0.0381600 | + | 0.0245240i | ||||
\(487\) | −1.98095 | − | 2.64624i | −0.0897655 | − | 0.119913i | 0.753410 | − | 0.657551i | \(-0.228408\pi\) |
−0.843176 | + | 0.537638i | \(0.819317\pi\) | |||||||
\(488\) | 1.34847 | + | 3.61540i | 0.0610426 | + | 0.163662i | ||||
\(489\) | 14.8813 | − | 2.13960i | 0.672954 | − | 0.0967562i | ||||
\(490\) | 1.24175 | − | 15.0181i | 0.0560968 | − | 0.678448i | ||||
\(491\) | −6.96785 | + | 4.47796i | −0.314455 | + | 0.202088i | −0.688342 | − | 0.725387i | \(-0.741661\pi\) |
0.373887 | + | 0.927474i | \(0.378025\pi\) | |||||||
\(492\) | −8.96809 | − | 3.34492i | −0.404313 | − | 0.150801i | ||||
\(493\) | −4.53988 | + | 8.31417i | −0.204466 | + | 0.374451i | ||||
\(494\) | −16.2105 | + | 18.7079i | −0.729346 | + | 0.841710i | ||||
\(495\) | −5.56870 | + | 1.56821i | −0.250295 | + | 0.0704859i | ||||
\(496\) | −2.13519 | + | 0.626949i | −0.0958730 | + | 0.0281508i | ||||
\(497\) | 1.41050 | − | 3.78169i | 0.0632695 | − | 0.169632i | ||||
\(498\) | −3.18887 | + | 14.6590i | −0.142897 | + | 0.656886i | ||||
\(499\) | 0.967518 | − | 3.29506i | 0.0433121 | − | 0.147507i | −0.934998 | − | 0.354653i | \(-0.884599\pi\) |
0.978310 | + | 0.207145i | \(0.0664173\pi\) | |||||||
\(500\) | −0.372119 | + | 11.1741i | −0.0166417 | + | 0.499723i | ||||
\(501\) | 7.91165 | − | 17.3241i | 0.353466 | − | 0.773983i | ||||
\(502\) | 14.9524 | − | 11.1932i | 0.667357 | − | 0.499577i | ||||
\(503\) | 5.31757 | − | 1.15677i | 0.237099 | − | 0.0515776i | −0.0924458 | − | 0.995718i | \(-0.529468\pi\) |
0.329544 | + | 0.944140i | \(0.393105\pi\) | |||||||
\(504\) | 0.334422 | + | 0.385944i | 0.0148963 | + | 0.0171913i | ||||
\(505\) | −26.6569 | − | 17.5523i | −1.18622 | − | 0.781069i | ||||
\(506\) | 6.78320 | − | 10.3899i | 0.301550 | − | 0.461885i | ||||
\(507\) | 4.94518 | − | 4.94518i | 0.219623 | − | 0.219623i | ||||
\(508\) | 0.707018 | − | 9.88540i | 0.0313688 | − | 0.438594i | ||||
\(509\) | 8.98107 | − | 13.9748i | 0.398079 | − | 0.619423i | −0.583128 | − | 0.812380i | \(-0.698172\pi\) |
0.981207 | + | 0.192957i | \(0.0618079\pi\) | |||||||
\(510\) | 2.13431 | − | 0.128863i | 0.0945090 | − | 0.00570613i | ||||
\(511\) | 1.38488 | + | 0.632455i | 0.0612636 | + | 0.0279782i | ||||
\(512\) | −0.800541 | − | 0.599278i | −0.0353793 | − | 0.0264846i | ||||
\(513\) | 4.85891 | − | 2.65316i | 0.214526 | − | 0.117140i | ||||
\(514\) | −11.7001 | − | 18.2057i | −0.516070 | − | 0.803021i | ||||
\(515\) | −1.16774 | − | 1.59654i | −0.0514566 | − | 0.0703519i | ||||
\(516\) | 0.265442 | + | 0.904011i | 0.0116854 | + | 0.0397969i | ||||
\(517\) | 19.4178 | − | 1.38879i | 0.853995 | − | 0.0610789i | ||||
\(518\) | −0.478008 | + | 0.0341878i | −0.0210025 | + | 0.00150213i | ||||
\(519\) | −5.91329 | − | 20.1388i | −0.259565 | − | 0.883997i | ||||
\(520\) | 9.88022 | + | 1.53265i | 0.433276 | + | 0.0672110i | ||||
\(521\) | −0.510724 | − | 0.794703i | −0.0223752 | − | 0.0348166i | 0.829886 | − | 0.557933i | \(-0.188406\pi\) |
−0.852261 | + | 0.523117i | \(0.824769\pi\) | |||||||
\(522\) | 8.69471 | − | 4.74767i | 0.380557 | − | 0.207800i | ||||
\(523\) | 12.0923 | + | 9.05216i | 0.528758 | + | 0.395823i | 0.830033 | − | 0.557714i | \(-0.188321\pi\) |
−0.301275 | + | 0.953537i | \(0.597412\pi\) | |||||||
\(524\) | −4.48287 | − | 2.04726i | −0.195835 | − | 0.0894350i | ||||
\(525\) | −0.664827 | − | 2.46531i | −0.0290154 | − | 0.107595i | ||||
\(526\) | −6.19877 | + | 9.64547i | −0.270279 | + | 0.420563i | ||||
\(527\) | 0.151805 | − | 2.12252i | 0.00661274 | − | 0.0924582i | ||||
\(528\) | −1.82947 | + | 1.82947i | −0.0796176 | + | 0.0796176i | ||||
\(529\) | −21.0568 | + | 9.25272i | −0.915511 | + | 0.402292i | ||||
\(530\) | −3.82382 | + | 5.80727i | −0.166096 | + | 0.252252i | ||||
\(531\) | 8.43608 | + | 9.73575i | 0.366095 | + | 0.422496i | ||||
\(532\) | 2.76254 | − | 0.600954i | 0.119771 | − | 0.0260547i | ||||
\(533\) | 34.2620 | − | 25.6482i | 1.48405 | − | 1.11095i | ||||
\(534\) | −0.608315 | + | 1.33202i | −0.0263243 | + | 0.0576423i | ||||
\(535\) | 28.8506 | − | 10.3975i | 1.24732 | − | 0.449524i | ||||
\(536\) | −1.73534 | + | 5.91002i | −0.0749552 | + | 0.255274i | ||||
\(537\) | −1.06224 | + | 4.88302i | −0.0458389 | + | 0.210718i | ||||
\(538\) | −7.42408 | + | 19.9047i | −0.320075 | + | 0.858154i | ||||
\(539\) | −16.7298 | + | 4.91233i | −0.720605 | + | 0.211589i | ||||
\(540\) | −1.95054 | − | 1.09334i | −0.0839378 | − | 0.0470500i | ||||
\(541\) | −20.9339 | + | 24.1590i | −0.900019 | + | 1.03868i | 0.0990304 | + | 0.995084i | \(0.468426\pi\) |
−0.999049 | + | 0.0435928i | \(0.986120\pi\) | |||||||
\(542\) | −13.2087 | + | 24.1900i | −0.567363 | + | 1.03905i | ||||
\(543\) | 11.7652 | + | 4.38818i | 0.504892 | + | 0.188315i | ||||
\(544\) | 0.804434 | − | 0.516978i | 0.0344898 | − | 0.0221653i | ||||
\(545\) | −1.98716 | − | 2.34539i | −0.0851205 | − | 0.100465i | ||||
\(546\) | −2.26020 | + | 0.324968i | −0.0967278 | + | 0.0139074i | ||||
\(547\) | −4.36522 | − | 11.7036i | −0.186643 | − | 0.500410i | 0.809603 | − | 0.586978i | \(-0.199683\pi\) |
−0.996246 | + | 0.0865682i | \(0.972410\pi\) | |||||||
\(548\) | −4.90754 | − | 6.55570i | −0.209640 | − | 0.280046i | ||||
\(549\) | 3.24614 | + | 2.08617i | 0.138542 | + | 0.0890354i | ||||
\(550\) | 12.2180 | − | 4.25070i | 0.520979 | − | 0.181250i | ||||
\(551\) | − | 54.8432i | − | 2.33640i | ||||||
\(552\) | 4.69344 | − | 0.985708i | 0.199766 | − | 0.0419545i | ||||
\(553\) | 5.15626 | + | 5.15626i | 0.219266 | + | 0.219266i | ||||
\(554\) | 4.08774 | − | 3.54205i | 0.173671 | − | 0.150487i | ||||
\(555\) | 1.91830 | − | 0.850461i | 0.0814273 | − | 0.0361000i | ||||
\(556\) | −1.14040 | + | 7.93163i | −0.0483636 | + | 0.336376i | ||||
\(557\) | −7.66305 | + | 2.85817i | −0.324694 | + | 0.121105i | −0.506525 | − | 0.862225i | \(-0.669070\pi\) |
0.181831 | + | 0.983330i | \(0.441798\pi\) | |||||||
\(558\) | −1.33359 | + | 1.78147i | −0.0564555 | + | 0.0754157i | ||||
\(559\) | −4.04221 | − | 1.18690i | −0.170967 | − | 0.0502005i | ||||
\(560\) | −0.798441 | − | 0.816360i | −0.0337403 | − | 0.0344975i | ||||
\(561\) | −1.02775 | − | 2.25046i | −0.0433916 | − | 0.0950143i | ||||
\(562\) | −6.61961 | − | 3.61458i | −0.279231 | − | 0.152472i | ||||
\(563\) | −1.37028 | − | 19.1590i | −0.0577504 | − | 0.807456i | −0.940969 | − | 0.338494i | \(-0.890083\pi\) |
0.883218 | − | 0.468962i | \(-0.155372\pi\) | |||||||
\(564\) | 5.68650 | + | 4.92738i | 0.239445 | + | 0.207480i | ||||
\(565\) | −36.1056 | + | 19.1982i | −1.51897 | + | 0.807672i | ||||
\(566\) | 9.93746 | − | 4.53829i | 0.417703 | − | 0.190758i | ||||
\(567\) | 0.499006 | + | 0.108552i | 0.0209563 | + | 0.00455876i | ||||
\(568\) | 3.78778 | + | 6.93681i | 0.158932 | + | 0.291062i | ||||
\(569\) | −2.41925 | − | 16.8262i | −0.101420 | − | 0.705392i | −0.975562 | − | 0.219722i | \(-0.929485\pi\) |
0.874142 | − | 0.485670i | \(-0.161424\pi\) | |||||||
\(570\) | −10.4876 | + | 6.57666i | −0.439275 | + | 0.275466i | ||||
\(571\) | 17.6978 | + | 2.54456i | 0.740629 | + | 0.106486i | 0.502294 | − | 0.864697i | \(-0.332489\pi\) |
0.238335 | + | 0.971183i | \(0.423398\pi\) | |||||||
\(572\) | −2.45911 | − | 11.3044i | −0.102821 | − | 0.472659i | ||||
\(573\) | −13.3852 | − | 0.957328i | −0.559174 | − | 0.0399929i | ||||
\(574\) | −4.88798 | −0.204020 | ||||||||
\(575\) | −23.2713 | − | 5.78331i | −0.970480 | − | 0.241181i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −29.5159 | − | 2.11102i | −1.22876 | − | 0.0878829i | −0.558182 | − | 0.829719i | \(-0.688501\pi\) |
−0.670581 | + | 0.741836i | \(0.733955\pi\) | |||||||
\(578\) | −3.41924 | − | 15.7180i | −0.142222 | − | 0.653783i | ||||
\(579\) | 4.76654 | + | 0.685326i | 0.198091 | + | 0.0284812i | ||||
\(580\) | −18.7668 | + | 11.7685i | −0.779250 | + | 0.488662i | ||||
\(581\) | 1.09029 | + | 7.58311i | 0.0452327 | + | 0.314601i | ||||
\(582\) | −3.23034 | − | 5.91592i | −0.133902 | − | 0.245223i | ||||
\(583\) | 7.86134 | + | 1.71013i | 0.325583 | + | 0.0708263i | ||||
\(584\) | −2.71186 | + | 1.23846i | −0.112218 | + | 0.0512480i | ||||
\(585\) | 8.82800 | − | 4.69405i | 0.364993 | − | 0.194075i | ||||
\(586\) | 15.0870 | + | 13.0730i | 0.623238 | + | 0.540039i | ||||
\(587\) | 3.36319 | + | 47.0236i | 0.138814 | + | 1.94087i | 0.299985 | + | 0.953944i | \(0.403018\pi\) |
−0.161171 | + | 0.986927i | \(0.551527\pi\) | |||||||
\(588\) | −5.91486 | − | 3.22976i | −0.243925 | − | 0.133193i | ||||
\(589\) | 5.11777 | + | 11.2063i | 0.210874 | + | 0.461749i | ||||
\(590\) | −20.1413 | − | 20.5934i | −0.829206 | − | 0.847816i | ||||
\(591\) | 13.0064 | + | 3.81902i | 0.535011 | + | 0.157093i | ||||
\(592\) | 0.562374 | − | 0.751244i | 0.0231134 | − | 0.0308759i | ||||
\(593\) | −40.6406 | + | 15.1582i | −1.66891 | + | 0.622471i | −0.993381 | − | 0.114863i | \(-0.963357\pi\) |
−0.675528 | + | 0.737334i | \(0.736084\pi\) | |||||||
\(594\) | −0.368206 | + | 2.56093i | −0.0151077 | + | 0.105076i | ||||
\(595\) | 0.998226 | − | 0.442554i | 0.0409233 | − | 0.0181430i | ||||
\(596\) | −14.2977 | + | 12.3890i | −0.585658 | + | 0.507475i | ||||
\(597\) | 5.39515 | + | 5.39515i | 0.220809 | + | 0.220809i | ||||
\(598\) | −7.63822 | + | 20.0377i | −0.312350 | + | 0.819402i | ||||
\(599\) | 16.3972i | 0.669972i | 0.942223 | + | 0.334986i | \(0.108732\pi\) | ||||
−0.942223 | + | 0.334986i | \(0.891268\pi\) | |||||||
\(600\) | 4.50095 | + | 2.17749i | 0.183750 | + | 0.0888958i | ||||
\(601\) | 33.4782 | + | 21.5151i | 1.36560 | + | 0.877620i | 0.998615 | − | 0.0526062i | \(-0.0167528\pi\) |
0.366988 | + | 0.930226i | \(0.380389\pi\) | |||||||
\(602\) | 0.288341 | + | 0.385178i | 0.0117519 | + | 0.0156987i | ||||
\(603\) | 2.15253 | + | 5.77116i | 0.0876579 | + | 0.235020i | ||||
\(604\) | 2.05554 | − | 0.295542i | 0.0836389 | − | 0.0120255i | ||||
\(605\) | 6.22428 | + | 7.34635i | 0.253053 | + | 0.298672i | ||||
\(606\) | −12.0077 | + | 7.71688i | −0.487780 | + | 0.313477i | ||||
\(607\) | 28.4723 | + | 10.6196i | 1.15566 | + | 0.431037i | 0.852922 | − | 0.522038i | \(-0.174828\pi\) |
0.302734 | + | 0.953075i | \(0.402101\pi\) | |||||||
\(608\) | −2.65316 | + | 4.85891i | −0.107600 | + | 0.197055i | ||||
\(609\) | 3.31295 | − | 3.82334i | 0.134247 | − | 0.154930i | ||||
\(610\) | −7.52653 | − | 4.21888i | −0.304740 | − | 0.170817i | ||||
\(611\) | −32.2815 | + | 9.47871i | −1.30597 | + | 0.383468i | ||||
\(612\) | 0.334169 | − | 0.895942i | 0.0135080 | − | 0.0362163i | ||||
\(613\) | −10.3132 | + | 47.4088i | −0.416545 | + | 1.91483i | −0.0128825 | + | 0.999917i | \(0.504101\pi\) |
−0.403662 | + | 0.914908i | \(0.632263\pi\) | |||||||
\(614\) | −2.74497 | + | 9.34853i | −0.110778 | + | 0.377276i | ||||
\(615\) | 20.1350 | − | 7.25650i | 0.811922 | − | 0.292610i | ||||
\(616\) | −0.548870 | + | 1.20186i | −0.0221146 | + | 0.0484242i | ||||
\(617\) | 2.91434 | − | 2.18165i | 0.117327 | − | 0.0878298i | −0.539003 | − | 0.842304i | \(-0.681199\pi\) |
0.656330 | + | 0.754474i | \(0.272108\pi\) | |||||||
\(618\) | −0.864380 | + | 0.188034i | −0.0347705 | + | 0.00756385i | ||||
\(619\) | 10.2446 | + | 11.8229i | 0.411764 | + | 0.475201i | 0.923310 | − | 0.384055i | \(-0.125473\pi\) |
−0.511546 | + | 0.859256i | \(0.670927\pi\) | |||||||
\(620\) | 2.73651 | − | 4.15597i | 0.109901 | − | 0.166908i | ||||
\(621\) | 3.16658 | − | 3.60177i | 0.127070 | − | 0.144534i | ||||
\(622\) | −12.5116 | + | 12.5116i | −0.501670 | + | 0.501670i | ||||
\(623\) | −0.0533482 | + | 0.745906i | −0.00213735 | + | 0.0298841i | ||||
\(624\) | 2.41743 | − | 3.76159i | 0.0967746 | − | 0.150584i | ||||
\(625\) | −15.5171 | − | 19.6016i | −0.620682 | − | 0.784062i | ||||
\(626\) | 21.5150 | + | 9.82556i | 0.859911 | + | 0.392708i | ||||
\(627\) | 11.4664 | + | 8.58365i | 0.457925 | + | 0.342798i | ||||
\(628\) | −7.42310 | + | 4.05332i | −0.296214 | + | 0.161745i | ||||
\(629\) | 0.485143 | + | 0.754897i | 0.0193439 | + | 0.0300997i | ||||
\(630\) | −1.12841 | − | 0.175042i | −0.0449570 | − | 0.00697385i | ||||
\(631\) | 0.929400 | + | 3.16524i | 0.0369988 | + | 0.126006i | 0.975922 | − | 0.218121i | \(-0.0699929\pi\) |
−0.938923 | + | 0.344128i | \(0.888175\pi\) | |||||||
\(632\) | −14.2428 | + | 1.01867i | −0.566549 | + | 0.0405204i | ||||
\(633\) | 15.7064 | − | 1.12335i | 0.624274 | − | 0.0446490i | ||||
\(634\) | 3.73578 | + | 12.7229i | 0.148367 | + | 0.505291i | ||||
\(635\) | 13.0829 | + | 17.8870i | 0.519177 | + | 0.709823i | ||||
\(636\) | 1.68114 | + | 2.61591i | 0.0666616 | + | 0.103727i | ||||
\(637\) | 26.4478 | − | 14.4416i | 1.04790 | − | 0.572197i | ||||
\(638\) | 20.5184 | + | 15.3599i | 0.812333 | + | 0.608105i | ||||
\(639\) | 7.18935 | + | 3.28327i | 0.284406 | + | 0.129884i | ||||
\(640\) | 2.23200 | − | 0.134761i | 0.0882277 | − | 0.00532688i | ||||
\(641\) | 13.2639 | − | 20.6390i | 0.523892 | − | 0.815192i | −0.473970 | − | 0.880541i | \(-0.657180\pi\) |
0.997862 | + | 0.0653486i | \(0.0208160\pi\) | |||||||
\(642\) | 0.978396 | − | 13.6798i | 0.0386142 | − | 0.539897i | ||||
\(643\) | 5.25766 | − | 5.25766i | 0.207342 | − | 0.207342i | −0.595795 | − | 0.803137i | \(-0.703163\pi\) |
0.803137 | + | 0.595795i | \(0.203163\pi\) | |||||||
\(644\) | 2.06980 | − | 1.30925i | 0.0815614 | − | 0.0515915i | ||||
\(645\) | −1.75958 | − | 1.15860i | −0.0692833 | − | 0.0456199i | ||||
\(646\) | −3.46669 | − | 4.00078i | −0.136395 | − | 0.157409i | ||||
\(647\) | 1.81166 | − | 0.394103i | 0.0712237 | − | 0.0154938i | −0.176812 | − | 0.984245i | \(-0.556579\pi\) |
0.248036 | + | 0.968751i | \(0.420215\pi\) | |||||||
\(648\) | −0.800541 | + | 0.599278i | −0.0314482 | + | 0.0235419i | ||||
\(649\) | −13.8457 | + | 30.3179i | −0.543491 | + | 1.19008i | ||||
\(650\) | −19.0716 | + | 11.6668i | −0.748048 | + | 0.457609i | ||||
\(651\) | −0.320168 | + | 1.09039i | −0.0125484 | + | 0.0427359i | ||||
\(652\) | −3.19577 | + | 14.6907i | −0.125156 | + | 0.575332i | ||||
\(653\) | −10.4772 | + | 28.0904i | −0.410004 | + | 1.09926i | 0.553799 | + | 0.832650i | \(0.313177\pi\) |
−0.963804 | + | 0.266613i | \(0.914095\pi\) | |||||||
\(654\) | −1.31906 | + | 0.387311i | −0.0515793 | + | 0.0151451i | ||||
\(655\) | 10.6073 | − | 2.98713i | 0.414460 | − | 0.116717i | ||||
\(656\) | 6.26805 | − | 7.23372i | 0.244726 | − | 0.282429i | ||||
\(657\) | −1.42877 | + | 2.61660i | −0.0557417 | + | 0.102083i | ||||
\(658\) | 3.60022 | + | 1.34281i | 0.140351 | + | 0.0523483i | ||||
\(659\) | −33.1899 | + | 21.3299i | −1.29290 | + | 0.830893i | −0.992420 | − | 0.122896i | \(-0.960782\pi\) |
−0.300476 | + | 0.953789i | \(0.597145\pi\) | |||||||
\(660\) | 0.476725 | − | 5.76563i | 0.0185565 | − | 0.224427i | ||||
\(661\) | 36.6470 | − | 5.26905i | 1.42540 | − | 0.204942i | 0.613944 | − | 0.789350i | \(-0.289582\pi\) |
0.811460 | + | 0.584407i | \(0.198673\pi\) | |||||||
\(662\) | −1.77199 | − | 4.75089i | −0.0688703 | − | 0.184648i | ||||
\(663\) | 2.56234 | + | 3.42288i | 0.0995130 | + | 0.132934i | ||||
\(664\) | −12.6204 | − | 8.11061i | −0.489765 | − | 0.314753i | ||||
\(665\) | −3.84438 | + | 5.01843i | −0.149079 | + | 0.194606i | ||||
\(666\) | − | 0.938420i | − | 0.0363630i | ||||||
\(667\) | −16.2825 | − | 44.6325i | −0.630461 | − | 1.72818i | ||||
\(668\) | 13.4670 | + | 13.4670i | 0.521052 | + | 0.521052i | ||||
\(669\) | −8.86843 | + | 7.68454i | −0.342873 | + | 0.297102i | ||||
\(670\) | −5.58218 | − | 12.5912i | −0.215659 | − | 0.486440i | ||||
\(671\) | −1.42080 | + | 9.88185i | −0.0548492 | + | 0.381485i | ||||
\(672\) | −0.478478 | + | 0.178463i | −0.0184577 | + | 0.00688437i | ||||
\(673\) | 21.6966 | − | 28.9832i | 0.836341 | − | 1.11722i | −0.155259 | − | 0.987874i | \(-0.549621\pi\) |
0.991599 | − | 0.129347i | \(-0.0412880\pi\) | |||||||
\(674\) | 32.0329 | + | 9.40571i | 1.23386 | + | 0.362294i | ||||
\(675\) | 4.90812 | − | 0.954145i | 0.188913 | − | 0.0367250i | ||||
\(676\) | 2.90522 | + | 6.36155i | 0.111739 | + | 0.244675i | ||||
\(677\) | 35.6255 | + | 19.4530i | 1.36920 | + | 0.747639i | 0.984497 | − | 0.175402i | \(-0.0561225\pi\) |
0.384702 | + | 0.923041i | \(0.374304\pi\) | |||||||
\(678\) | 1.30462 | + | 18.2410i | 0.0501037 | + | 0.700542i | ||||
\(679\) | −2.60142 | − | 2.25414i | −0.0998333 | − | 0.0865061i | ||||
\(680\) | −0.625129 | + | 2.04478i | −0.0239726 | + | 0.0784137i | ||||
\(681\) | −12.4826 | + | 5.70063i | −0.478336 | + | 0.218449i | ||||
\(682\) | −5.62595 | − | 1.22385i | −0.215429 | − | 0.0468637i | ||||
\(683\) | −4.53598 | − | 8.30703i | −0.173565 | − | 0.317860i | 0.776387 | − | 0.630256i | \(-0.217050\pi\) |
−0.949952 | + | 0.312396i | \(0.898868\pi\) | |||||||
\(684\) | 0.787868 | + | 5.47974i | 0.0301249 | + | 0.209523i | ||||
\(685\) | 17.8486 | + | 4.09066i | 0.681960 | + | 0.156296i | ||||
\(686\) | −6.94488 | − | 0.998522i | −0.265157 | − | 0.0381238i | ||||
\(687\) | −1.77106 | − | 8.14145i | −0.0675703 | − | 0.310616i | ||||
\(688\) | −0.939775 | − | 0.0672140i | −0.0358286 | − | 0.00256251i | ||||
\(689\) | −13.9040 | −0.529701 | ||||||||
\(690\) | −6.58244 | + | 8.46590i | −0.250589 | + | 0.322291i | ||||
\(691\) | −19.2792 | −0.733417 | −0.366708 | − | 0.930336i | \(-0.619515\pi\) | ||||
−0.366708 | + | 0.930336i | \(0.619515\pi\) | |||||||
\(692\) | 20.9356 | + | 1.49734i | 0.795851 | + | 0.0569204i | ||||
\(693\) | 0.280853 | + | 1.29106i | 0.0106687 | + | 0.0490434i | ||||
\(694\) | −30.1968 | − | 4.34165i | −1.14626 | − | 0.164807i | ||||
\(695\) | −9.51937 | − | 15.1802i | −0.361090 | − | 0.575817i | ||||
\(696\) | 1.40984 | + | 9.80565i | 0.0534398 | + | 0.371682i | ||||
\(697\) | 4.38640 | + | 8.03310i | 0.166147 | + | 0.304275i | ||||
\(698\) | 18.0247 | + | 3.92104i | 0.682246 | + | 0.148414i | ||||
\(699\) | 4.02567 | − | 1.83846i | 0.152265 | − | 0.0695371i | ||||
\(700\) | 2.54221 | + | 0.238630i | 0.0960864 | + | 0.00901935i | ||||
\(701\) | −18.4328 | − | 15.9721i | −0.696196 | − | 0.603257i | 0.233161 | − | 0.972438i | \(-0.425093\pi\) |
−0.929358 | + | 0.369181i | \(0.879638\pi\) | |||||||
\(702\) | −0.318987 | − | 4.46002i | −0.0120394 | − | 0.168333i | ||||
\(703\) | −4.55969 | − | 2.48978i | −0.171972 | − | 0.0939039i | ||||
\(704\) | −1.07479 | − | 2.35346i | −0.0405076 | − | 0.0886994i | ||||
\(705\) | −16.8239 | − | 0.186694i | −0.633623 | − | 0.00703129i | ||||
\(706\) | 3.68061 | + | 1.08072i | 0.138522 | + | 0.0406736i | ||||
\(707\) | −4.36825 | + | 5.83529i | −0.164285 | + | 0.219459i | ||||
\(708\) | −12.0700 | + | 4.50188i | −0.453619 | + | 0.169191i | ||||
\(709\) | −4.57919 | + | 31.8490i | −0.171975 | + | 1.19611i | 0.702730 | + | 0.711457i | \(0.251964\pi\) |
−0.874705 | + | 0.484656i | \(0.838945\pi\) | |||||||
\(710\) | −16.4891 | − | 6.35942i | −0.618825 | − | 0.238665i | ||||
\(711\) | −10.7915 | + | 9.35089i | −0.404713 | + | 0.350686i | ||||
\(712\) | −1.03545 | − | 1.03545i | −0.0388053 | − | 0.0388053i | ||||
\(713\) | 7.49202 | + | 7.60054i | 0.280578 | + | 0.284642i | ||||
\(714\) | − | 0.488326i | − | 0.0182751i | ||||||
\(715\) | 20.5355 | + | 15.7312i | 0.767984 | + | 0.588315i | ||||
\(716\) | −4.20393 | − | 2.70170i | −0.157108 | − | 0.100967i | ||||
\(717\) | −14.9497 | − | 19.9705i | −0.558308 | − | 0.745812i | ||||
\(718\) | 4.80589 | + | 12.8851i | 0.179354 | + | 0.480867i | ||||
\(719\) | −30.0763 | + | 4.32432i | −1.12166 | + | 0.161270i | −0.678095 | − | 0.734974i | \(-0.737194\pi\) |
−0.443562 | + | 0.896244i | \(0.646285\pi\) | |||||||
\(720\) | 1.70605 | − | 1.44547i | 0.0635808 | − | 0.0538695i | ||||
\(721\) | −0.380030 | + | 0.244230i | −0.0141530 | + | 0.00909561i | ||||
\(722\) | 10.9138 | + | 4.07065i | 0.406171 | + | 0.151494i | ||||
\(723\) | −8.40707 | + | 15.3964i | −0.312662 | + | 0.572598i | ||||
\(724\) | −8.22301 | + | 9.48986i | −0.305606 | + | 0.352688i | ||||
\(725\) | 15.0061 | − | 47.2046i | 0.557313 | − | 1.75314i | ||||
\(726\) | 4.13163 | − | 1.21316i | 0.153339 | − | 0.0450244i | ||||
\(727\) | −12.5990 | + | 33.7793i | −0.467272 | + | 1.25280i | 0.463139 | + | 0.886286i | \(0.346723\pi\) |
−0.930411 | + | 0.366519i | \(0.880550\pi\) | |||||||
\(728\) | 0.485381 | − | 2.23126i | 0.0179894 | − | 0.0826961i | ||||
\(729\) | −0.281733 | + | 0.959493i | −0.0104345 | + | 0.0355368i | ||||
\(730\) | 2.83641 | − | 6.03280i | 0.104980 | − | 0.223284i | ||||
\(731\) | 0.374264 | − | 0.819523i | 0.0138426 | − | 0.0303112i | ||||
\(732\) | −3.08904 | + | 2.31243i | −0.114174 | + | 0.0854698i | ||||
\(733\) | 49.3396 | − | 10.7332i | 1.82240 | − | 0.396439i | 0.834433 | − | 0.551109i | \(-0.185795\pi\) |
0.987966 | + | 0.154670i | \(0.0494316\pi\) | |||||||
\(734\) | 0.883610 | + | 1.01974i | 0.0326147 | + | 0.0376393i | ||||
\(735\) | 14.7596 | − | 3.03963i | 0.544416 | − | 0.112118i | ||||
\(736\) | −0.716630 | + | 4.74199i | −0.0264153 | + | 0.174792i | ||||
\(737\) | −11.2687 | + | 11.2687i | −0.415087 | + | 0.415087i | ||||
\(738\) | 0.682829 | − | 9.54719i | 0.0251353 | − | 0.351437i | ||||
\(739\) | 11.0980 | − | 17.2688i | 0.408246 | − | 0.635243i | −0.574866 | − | 0.818247i | \(-0.694946\pi\) |
0.983112 | + | 0.183004i | \(0.0585822\pi\) | |||||||
\(740\) | 0.126462 | + | 2.09456i | 0.00464884 | + | 0.0769974i | ||||
\(741\) | −22.5172 | − | 10.2832i | −0.827188 | − | 0.377764i | ||||
\(742\) | 1.27123 | + | 0.951633i | 0.0466684 | + | 0.0349355i | ||||
\(743\) | 2.11168 | − | 1.15307i | 0.0774702 | − | 0.0423019i | −0.440047 | − | 0.897975i | \(-0.645038\pi\) |
0.517517 | + | 0.855673i | \(0.326856\pi\) | |||||||
\(744\) | −1.20311 | − | 1.87207i | −0.0441080 | − | 0.0686334i | ||||
\(745\) | 6.48464 | − | 41.8033i | 0.237579 | − | 1.53155i | ||||
\(746\) | 5.54122 | + | 18.8717i | 0.202878 | + | 0.690940i | ||||
\(747\) | −14.9636 | + | 1.07022i | −0.547490 | + | 0.0391573i | ||||
\(748\) | 2.46773 | − | 0.176495i | 0.0902290 | − | 0.00645330i | ||||
\(749\) | −1.97319 | − | 6.72007i | −0.0720988 | − | 0.245546i | ||||
\(750\) | −10.8264 | + | 2.79107i | −0.395322 | + | 0.101916i | ||||
\(751\) | −17.9335 | − | 27.9051i | −0.654404 | − | 1.01827i | −0.996894 | − | 0.0787511i | \(-0.974907\pi\) |
0.342490 | − | 0.939521i | \(-0.388730\pi\) | |||||||
\(752\) | −6.60394 | + | 3.60602i | −0.240821 | + | 0.131498i | ||||
\(753\) | 14.9524 | + | 11.1932i | 0.544895 | + | 0.407903i | ||||
\(754\) | −40.2931 | − | 18.4012i | −1.46739 | − | 0.670133i | ||||
\(755\) | −3.07966 | + | 3.47544i | −0.112080 | + | 0.126484i | ||||
\(756\) | −0.276093 | + | 0.429608i | −0.0100414 | + | 0.0156247i | ||||
\(757\) | −0.000540604 | 0.00755862i | −1.96486e−5 | 0.000274723i | −0.997462 | − | 0.0712018i | \(-0.977317\pi\) | ||
0.997442 | + | 0.0714765i | \(0.0227711\pi\) | |||||||
\(758\) | 14.7686 | − | 14.7686i | 0.536420 | − | 0.536420i | ||||
\(759\) | 11.8800 | + | 3.58127i | 0.431218 | + | 0.129992i | ||||
\(760\) | −2.49698 | − | 12.1246i | −0.0905748 | − | 0.439806i | ||||
\(761\) | 23.5684 | + | 27.1994i | 0.854354 | + | 0.985977i | 0.999994 | − | 0.00336050i | \(-0.00106968\pi\) |
−0.145640 | + | 0.989338i | \(0.546524\pi\) | |||||||
\(762\) | 9.68416 | − | 2.10666i | 0.350820 | − | 0.0763162i | ||||
\(763\) | −0.562021 | + | 0.420724i | −0.0203465 | + | 0.0152312i | ||||
\(764\) | 5.57461 | − | 12.2067i | 0.201682 | − | 0.441623i | ||||
\(765\) | 0.724949 | + | 2.01156i | 0.0262106 | + | 0.0727279i | ||||
\(766\) | −5.15936 | + | 17.5712i | −0.186415 | + | 0.634872i | ||||
\(767\) | 12.2442 | − | 56.2855i | 0.442111 | − | 2.03235i | ||||
\(768\) | 0.349464 | − | 0.936950i | 0.0126102 | − | 0.0338093i | ||||
\(769\) | 50.4681 | − | 14.8188i | 1.81993 | − | 0.534379i | 0.820616 | − | 0.571480i | \(-0.193630\pi\) |
0.999312 | + | 0.0371009i | \(0.0118123\pi\) | |||||||
\(770\) | −0.800850 | − | 2.84381i | −0.0288606 | − | 0.102484i | ||||
\(771\) | 14.1720 | − | 16.3553i | 0.510391 | − | 0.589023i | ||||
\(772\) | −2.30785 | + | 4.22652i | −0.0830614 | + | 0.152116i | ||||
\(773\) | −4.13131 | − | 1.54090i | −0.148593 | − | 0.0554223i | 0.274067 | − | 0.961711i | \(-0.411631\pi\) |
−0.422660 | + | 0.906288i | \(0.638904\pi\) | |||||||
\(774\) | −0.792609 | + | 0.509379i | −0.0284897 | + | 0.0183092i | ||||
\(775\) | 1.33870 | + | 11.0458i | 0.0480875 | + | 0.396778i | ||||
\(776\) | 6.67181 | − | 0.959261i | 0.239504 | − | 0.0344355i | ||||
\(777\) | −0.167473 | − | 0.449013i | −0.00600807 | − | 0.0161083i | ||||
\(778\) | −11.2221 | − | 14.9910i | −0.402332 | − | 0.537453i | ||||
\(779\) | −44.5773 | − | 28.6481i | −1.59715 | − | 1.02642i | ||||
\(780\) | 1.31302 | + | 9.91180i | 0.0470135 | + | 0.354899i | ||||
\(781\) | 20.4487i | 0.731711i | ||||||||
\(782\) | −4.00907 | − | 2.22668i | −0.143364 | − | 0.0796261i | ||||
\(783\) | 7.00494 | + | 7.00494i | 0.250336 | + | 0.250336i | ||||
\(784\) | 5.09315 | − | 4.41324i | 0.181898 | − | 0.157616i | ||||
\(785\) | 6.80523 | − | 17.6450i | 0.242889 | − | 0.629779i | ||||
\(786\) | 0.701360 | − | 4.87807i | 0.0250167 | − | 0.173995i | ||||
\(787\) | 9.77781 | − | 3.64693i | 0.348541 | − | 0.129999i | −0.169095 | − | 0.985600i | \(-0.554085\pi\) |
0.517637 | + | 0.855601i | \(0.326812\pi\) | |||||||
\(788\) | −8.12349 | + | 10.8517i | −0.289387 | + | 0.386576i | ||||
\(789\) | −11.0012 | − | 3.23023i | −0.391652 | − | 0.114999i | ||||
\(790\) | 22.8265 | − | 22.3255i | 0.812131 | − | 0.794305i | ||||
\(791\) | 3.87958 | + | 8.49510i | 0.137942 | + | 0.302051i | ||||
\(792\) | −2.27079 | − | 1.23994i | −0.0806890 | − | 0.0440595i | ||||
\(793\) | −1.23087 | − | 17.2098i | −0.0437096 | − | 0.611140i | ||||
\(794\) | 12.5355 | + | 10.8621i | 0.444868 | + | 0.385480i | ||||
\(795\) | −6.64933 | − | 2.03283i | −0.235828 | − | 0.0720971i | ||||
\(796\) | −6.94039 | + | 3.16957i | −0.245996 | + | 0.112342i | ||||
\(797\) | 28.8432 | + | 6.27446i | 1.02168 | + | 0.222253i | 0.692044 | − | 0.721855i | \(-0.256710\pi\) |
0.329636 | + | 0.944108i | \(0.393074\pi\) | |||||||
\(798\) | 1.35491 | + | 2.48133i | 0.0479633 | + | 0.0878381i | ||||
\(799\) | −1.02396 | − | 7.12177i | −0.0362249 | − | 0.251950i | ||||
\(800\) | −3.61312 | + | 3.45621i | −0.127743 | + | 0.122195i | ||||
\(801\) | −1.44945 | − | 0.208399i | −0.0512138 | − | 0.00736343i | ||||
\(802\) | 0.801676 | + | 3.68525i | 0.0283082 | + | 0.130131i | ||||
\(803\) | −7.69369 | − | 0.550264i | −0.271504 | − | 0.0194184i | ||||
\(804\) | −6.15952 | −0.217230 | ||||||||
\(805\) | −1.63870 | + | 5.22547i | −0.0577567 | + | 0.184174i | ||||
\(806\) | 9.95039 | 0.350487 | ||||||||
\(807\) | −21.1901 | − | 1.51554i | −0.745926 | − | 0.0533496i | ||||
\(808\) | −3.03407 | − | 13.9474i | −0.106738 | − | 0.490667i | ||||
\(809\) | −16.5923 | − | 2.38561i | −0.583354 | − | 0.0838736i | −0.155681 | − | 0.987807i | \(-0.549757\pi\) |
−0.427672 | + | 0.903934i | \(0.640666\pi\) | |||||||
\(810\) | 0.499526 | − | 2.17956i | 0.0175516 | − | 0.0765819i | ||||
\(811\) | 6.25692 | + | 43.5179i | 0.219710 | + | 1.52812i | 0.739109 | + | 0.673586i | \(0.235247\pi\) |
−0.519398 | + | 0.854532i | \(0.673844\pi\) | |||||||
\(812\) | 2.42452 | + | 4.44019i | 0.0850841 | + | 0.155820i | ||||
\(813\) | −26.9314 | − | 5.85857i | −0.944526 | − | 0.205469i | ||||
\(814\) | 2.20853 | − | 1.00860i | 0.0774090 | − | 0.0353515i | ||||
\(815\) | −15.7829 | − | 29.6825i | −0.552849 | − | 1.03973i | ||||
\(816\) | 0.722672 | + | 0.626199i | 0.0252986 | + | 0.0219214i | ||||
\(817\) | 0.372103 | + | 5.20268i | 0.0130182 | + | 0.182019i | ||||
\(818\) | −7.83997 | − | 4.28095i | −0.274118 | − | 0.149680i | ||||
\(819\) | −0.948578 | − | 2.07710i | −0.0331460 | − | 0.0725796i | ||||
\(820\) | −0.237490 | + | 21.4014i | −0.00829352 | + | 0.747369i | ||||
\(821\) | 21.1582 | + | 6.21259i | 0.738425 | + | 0.216821i | 0.629252 | − | 0.777202i | \(-0.283362\pi\) |
0.109173 | + | 0.994023i | \(0.465180\pi\) | |||||||
\(822\) | 4.90754 | − | 6.55570i | 0.171170 | − | 0.228656i | ||||
\(823\) | −17.9552 | + | 6.69693i | −0.625878 | + | 0.233440i | −0.642335 | − | 0.766424i | \(-0.722034\pi\) |
0.0164569 | + | 0.999865i | \(0.494761\pi\) | |||||||
\(824\) | 0.125891 | − | 0.875592i | 0.00438562 | − | 0.0305027i | ||||
\(825\) | 7.52073 | + | 10.5256i | 0.261838 | + | 0.366453i | ||||
\(826\) | −4.97182 | + | 4.30811i | −0.172992 | + | 0.149898i | ||||
\(827\) | 1.54670 | + | 1.54670i | 0.0537839 | + | 0.0537839i | 0.733487 | − | 0.679703i | \(-0.237891\pi\) |
−0.679703 | + | 0.733487i | \(0.737891\pi\) | |||||||
\(828\) | 2.26807 | + | 4.22562i | 0.0788211 | + | 0.146850i | ||||
\(829\) | − | 28.5874i | − | 0.992881i | −0.868071 | − | 0.496441i | \(-0.834640\pi\) | ||
0.868071 | − | 0.496441i | \(-0.165360\pi\) | |||||||
\(830\) | 33.2546 | − | 4.40524i | 1.15429 | − | 0.152908i | ||||
\(831\) | 4.55022 | + | 2.92425i | 0.157845 | + | 0.101441i | ||||
\(832\) | 2.67962 | + | 3.57955i | 0.0928991 | + | 0.124099i | ||||
\(833\) | 2.25204 | + | 6.03794i | 0.0780284 | + | 0.209202i | ||||
\(834\) | −7.93163 | + | 1.14040i | −0.274650 | + | 0.0394887i | ||||
\(835\) | −42.4414 | − | 3.50923i | −1.46875 | − | 0.121442i | ||||
\(836\) | −12.0496 | + | 7.74378i | −0.416743 | + | 0.267824i | ||||
\(837\) | −2.08503 | − | 0.777674i | −0.0720690 | − | 0.0268804i | ||||
\(838\) | 12.9792 | − | 23.7697i | 0.448359 | − | 0.821109i | ||||
\(839\) | 2.17785 | − | 2.51338i | 0.0751879 | − | 0.0867714i | −0.716909 | − | 0.697166i | \(-0.754444\pi\) |
0.792097 | + | 0.610395i | \(0.208989\pi\) | |||||||
\(840\) | 0.558345 | − | 0.996094i | 0.0192647 | − | 0.0343685i | ||||
\(841\) | 66.3378 | − | 19.4785i | 2.28751 | − | 0.671674i | ||||
\(842\) | −6.64766 | + | 17.8231i | −0.229094 | + | 0.614223i | ||||
\(843\) | 1.60320 | − | 7.36981i | 0.0552173 | − | 0.253830i | ||||
\(844\) | −4.43631 | + | 15.1087i | −0.152704 | + | 0.520063i | ||||
\(845\) | −14.1519 | − | 6.65372i | −0.486840 | − | 0.228895i | ||||
\(846\) | −3.12572 | + | 6.84436i | −0.107464 | + | 0.235314i | ||||
\(847\) | 1.76039 | − | 1.31781i | 0.0604877 | − | 0.0452805i | ||||
\(848\) | −3.03847 | + | 0.660979i | −0.104342 | + | 0.0226981i | ||||
\(849\) | 7.15416 | + | 8.25634i | 0.245530 | + | 0.283357i | ||||
\(850\) | −1.88917 | − | 4.39210i | −0.0647979 | − | 0.150648i | ||||
\(851\) | −4.44997 | − | 0.672500i | −0.152543 | − | 0.0230530i | ||||
\(852\) | −5.58868 | + | 5.58868i | −0.191465 | + | 0.191465i | ||||
\(853\) | 1.32567 | − | 18.5353i | 0.0453900 | − | 0.634635i | −0.922937 | − | 0.384951i | \(-0.874218\pi\) |
0.968327 | − | 0.249685i | \(-0.0803270\pi\) | |||||||
\(854\) | −1.06536 | + | 1.65773i | −0.0364557 | + | 0.0567262i | ||||
\(855\) | −9.26495 | − | 8.20988i | −0.316855 | − | 0.280772i | ||||
\(856\) | 12.4753 | + | 5.69729i | 0.426398 | + | 0.194729i | ||||
\(857\) | −4.51030 | − | 3.37637i | −0.154069 | − | 0.115334i | 0.519462 | − | 0.854493i | \(-0.326132\pi\) |
−0.673531 | + | 0.739159i | \(0.735223\pi\) | |||||||
\(858\) | 10.1536 | − | 5.54431i | 0.346639 | − | 0.189279i | ||||
\(859\) | 15.0256 | + | 23.3804i | 0.512669 | + | 0.797728i | 0.997020 | − | 0.0771458i | \(-0.0245807\pi\) |
−0.484351 | + | 0.874874i | \(0.660944\pi\) | |||||||
\(860\) | 1.70046 | − | 1.24375i | 0.0579852 | − | 0.0424114i | ||||
\(861\) | −1.37710 | − | 4.68998i | −0.0469316 | − | 0.159834i | ||||
\(862\) | 33.5183 | − | 2.39727i | 1.14164 | − | 0.0816515i | ||||
\(863\) | 11.1692 | − | 0.798835i | 0.380203 | − | 0.0271926i | 0.120070 | − | 0.992765i | \(-0.461688\pi\) |
0.260133 | + | 0.965573i | \(0.416234\pi\) | |||||||
\(864\) | −0.281733 | − | 0.959493i | −0.00958474 | − | 0.0326426i | ||||
\(865\) | −37.8815 | + | 27.7072i | −1.28801 | + | 0.942073i | ||||
\(866\) | −10.2666 | − | 15.9751i | −0.348872 | − | 0.542855i | ||||
\(867\) | 14.1180 | − | 7.70902i | 0.479473 | − | 0.261812i | ||||
\(868\) | −0.909756 | − | 0.681035i | −0.0308791 | − | 0.0231158i | ||||
\(869\) | −33.6055 | − | 15.3471i | −1.13999 | − | 0.520616i | ||||
\(870\) | −16.5790 | − | 14.6911i | −0.562082 | − | 0.498074i | ||||
\(871\) | 14.8902 | − | 23.1696i | 0.504535 | − | 0.785072i | ||||
\(872\) | 0.0980733 | − | 1.37124i | 0.00332118 | − | 0.0464362i | ||||
\(873\) | 4.76619 | − | 4.76619i | 0.161311 | − | 0.161311i | ||||
\(874\) | 26.5495 | + | 0.190889i | 0.898049 | + | 0.00645691i | ||||
\(875\) | −4.68207 | + | 3.26757i | −0.158283 | + | 0.110464i | ||||
\(876\) | −1.95232 | − | 2.25309i | −0.0659627 | − | 0.0761250i | ||||
\(877\) | −26.1367 | + | 5.68570i | −0.882575 | + | 0.191992i | −0.630942 | − | 0.775830i | \(-0.717331\pi\) |
−0.251633 | + | 0.967823i | \(0.580968\pi\) | |||||||
\(878\) | 1.76599 | − | 1.32200i | 0.0595993 | − | 0.0446154i | ||||
\(879\) | −8.29291 | + | 18.1589i | −0.279713 | + | 0.612486i | ||||
\(880\) | 5.23551 | + | 2.46155i | 0.176489 | + | 0.0829788i | ||||
\(881\) | −11.5338 | + | 39.2805i | −0.388584 | + | 1.32339i | 0.500534 | + | 0.865717i | \(0.333137\pi\) |
−0.889118 | + | 0.457678i | \(0.848681\pi\) | |||||||
\(882\) | 1.43252 | − | 6.58520i | 0.0482355 | − | 0.221735i | ||||
\(883\) | 15.2454 | − | 40.8744i | 0.513047 | − | 1.37553i | −0.379757 | − | 0.925086i | \(-0.623992\pi\) |
0.892804 | − | 0.450446i | \(-0.148735\pi\) | |||||||
\(884\) | −4.10252 | + | 1.20461i | −0.137983 | + | 0.0405153i | ||||
\(885\) | 14.0847 | − | 25.1273i | 0.473453 | − | 0.844645i | ||||
\(886\) | −12.6645 | + | 14.6156i | −0.425472 | + | 0.491021i | ||||
\(887\) | −20.6306 | + | 37.7820i | −0.692706 | + | 1.26860i | 0.260265 | + | 0.965537i | \(0.416190\pi\) |
−0.952972 | + | 0.303060i | \(0.901992\pi\) | |||||||
\(888\) | 0.879252 | + | 0.327944i | 0.0295058 | + | 0.0110051i | ||||
\(889\) | 4.25770 | − | 2.73626i | 0.142799 | − | 0.0917711i | ||||
\(890\) | 3.26326 | + | 0.269819i | 0.109385 | + | 0.00904436i | ||||
\(891\) | −2.56093 | + | 0.368206i | −0.0857944 | + | 0.0123354i | ||||
\(892\) | −4.10083 | − | 10.9947i | −0.137306 | − | 0.368131i | ||||
\(893\) | 24.9631 | + | 33.3468i | 0.835358 | + | 1.11591i | ||||
\(894\) | −15.9153 | − | 10.2282i | −0.532289 | − | 0.342081i | ||||
\(895\) | 11.0774 | − | 1.46742i | 0.370275 | − | 0.0490504i | ||||
\(896\) | − | 0.510677i | − | 0.0170605i | ||||||
\(897\) | −21.3780 | − | 1.68355i | −0.713789 | − | 0.0562122i | ||||
\(898\) | 14.6132 | + | 14.6132i | 0.487650 | + | 0.487650i | ||||
\(899\) | −16.6607 | + | 14.4366i | −0.555665 | + | 0.481486i | ||||
\(900\) | −0.821225 | + | 4.93210i | −0.0273742 | + | 0.164403i | ||||
\(901\) | 0.423165 | − | 2.94317i | 0.0140977 | − | 0.0980513i | ||||
\(902\) | 23.2028 | − | 8.65421i | 0.772570 | − | 0.288154i | ||||
\(903\) | −0.288341 | + | 0.385178i | −0.00959537 | + | 0.0128179i | ||||
\(904\) | −17.5468 | − | 5.15221i | −0.583599 | − | 0.171360i | ||||
\(905\) | 0.311562 | − | 28.0763i | 0.0103567 | − | 0.933289i | ||||
\(906\) | 0.862684 | + | 1.88902i | 0.0286608 | + | 0.0627583i | ||||
\(907\) | 31.5744 | + | 17.2409i | 1.04841 | + | 0.572475i | 0.908585 | − | 0.417701i | \(-0.137164\pi\) |
0.139826 | + | 0.990176i | \(0.455346\pi\) | |||||||
\(908\) | −0.978969 | − | 13.6878i | −0.0324882 | − | 0.454245i | ||||
\(909\) | −10.7873 | − | 9.34721i | −0.357791 | − | 0.310027i | ||||
\(910\) | 2.39714 | + | 4.50825i | 0.0794644 | + | 0.149447i | ||||
\(911\) | 52.5698 | − | 24.0078i | 1.74171 | − | 0.795414i | 0.750863 | − | 0.660458i | \(-0.229638\pi\) |
0.990852 | − | 0.134957i | \(-0.0430895\pi\) | |||||||
\(912\) | −5.40957 | − | 1.17678i | −0.179129 | − | 0.0389671i | ||||
\(913\) | −18.6015 | − | 34.0660i | −0.615619 | − | 1.12742i | ||||
\(914\) | 2.97317 | + | 20.6789i | 0.0983438 | + | 0.683996i | ||||
\(915\) | 1.92752 | − | 8.41024i | 0.0637218 | − | 0.278034i | ||||
\(916\) | 8.24705 | + | 1.18575i | 0.272490 | + | 0.0391782i | ||||
\(917\) | −0.534970 | − | 2.45922i | −0.0176663 | − | 0.0812105i | ||||
\(918\) | 0.953796 | + | 0.0682169i | 0.0314800 | + | 0.00225149i | ||||
\(919\) | 11.3200 | 0.373414 | 0.186707 | − | 0.982416i | \(-0.440218\pi\) | ||||
0.186707 | + | 0.982416i | \(0.440218\pi\) | |||||||
\(920\) | −5.63180 | − | 9.12594i | −0.185675 | − | 0.300873i | ||||
\(921\) | −9.74319 | −0.321049 | ||||||||
\(922\) | −28.1498 | − | 2.01332i | −0.927065 | − | 0.0663050i | ||||
\(923\) | −7.51210 | − | 34.5325i | −0.247264 | − | 1.13665i | ||||
\(924\) | −1.30781 | − | 0.188034i | −0.0430237 | − | 0.00618588i | ||||
\(925\) | −3.24337 | − | 3.39062i | −0.106641 | − | 0.111483i | ||||
\(926\) | 0.164441 | + | 1.14372i | 0.00540388 | + | 0.0375848i | ||||
\(927\) | −0.423942 | − | 0.776391i | −0.0139241 | − | 0.0255000i | ||||
\(928\) | −9.68009 | − | 2.10577i | −0.317765 | − | 0.0691254i | ||||
\(929\) | 34.4455 | − | 15.7307i | 1.13012 | − | 0.516108i | 0.239518 | − | 0.970892i | \(-0.423011\pi\) |
0.890602 | + | 0.454784i | \(0.150283\pi\) | |||||||
\(930\) | 4.75859 | + | 1.45479i | 0.156040 | + | 0.0477045i | ||||
\(931\) | −28.1962 | − | 24.4321i | −0.924092 | − | 0.800730i | ||||
\(932\) | 0.315719 | + | 4.41433i | 0.0103417 | + | 0.144596i | ||||
\(933\) | −15.5297 | − | 8.47987i | −0.508421 | − | 0.277619i | ||||
\(934\) | −5.03670 | − | 11.0288i | −0.164806 | − | 0.360875i | ||||
\(935\) | −3.95495 | + | 3.86814i | −0.129341 | + | 0.126502i | ||||
\(936\) | 4.29029 | + | 1.25974i | 0.140233 | + | 0.0411760i | ||||
\(937\) | 25.7877 | − | 34.4483i | 0.842448 | − | 1.12538i | −0.148203 | − | 0.988957i | \(-0.547349\pi\) |
0.990651 | − | 0.136421i | \(-0.0435601\pi\) | |||||||
\(938\) | −2.94720 | + | 1.09925i | −0.0962294 | + | 0.0358917i | ||||
\(939\) | −3.36609 | + | 23.4116i | −0.109848 | + | 0.764010i | ||||
\(940\) | 6.05426 | − | 15.6979i | 0.197468 | − | 0.512008i | ||||
\(941\) | −7.23763 | + | 6.27144i | −0.235940 | + | 0.204443i | −0.764803 | − | 0.644264i | \(-0.777164\pi\) |
0.528863 | + | 0.848707i | \(0.322618\pi\) | |||||||
\(942\) | −5.98046 | − | 5.98046i | −0.194854 | − | 0.194854i | ||||
\(943\) | −44.7833 | − | 10.0798i | −1.45835 | − | 0.328243i | ||||
\(944\) | − | 12.8822i | − | 0.419281i | ||||||
\(945\) | −0.149958 | − | 1.13202i | −0.00487815 | − | 0.0368246i | ||||
\(946\) | −2.05069 | − | 1.31790i | −0.0666737 | − | 0.0428486i | ||||
\(947\) | 1.18543 | + | 1.58355i | 0.0385214 | + | 0.0514585i | 0.819388 | − | 0.573239i | \(-0.194313\pi\) |
−0.780867 | + | 0.624697i | \(0.785222\pi\) | |||||||
\(948\) | −4.99007 | − | 13.3789i | −0.162070 | − | 0.434526i | ||||
\(949\) | 13.1948 | − | 1.89713i | 0.428322 | − | 0.0615834i | ||||
\(950\) | 21.7858 | + | 17.0759i | 0.706824 | + | 0.554016i | ||||
\(951\) | −11.1551 | + | 7.16892i | −0.361727 | + | 0.232468i | ||||
\(952\) | 0.457537 | + | 0.170652i | 0.0148288 | + | 0.00553087i | ||||
\(953\) | 7.03334 | − | 12.8806i | 0.227832 | − | 0.417244i | −0.738608 | − | 0.674135i | \(-0.764517\pi\) |
0.966440 | + | 0.256892i | \(0.0826983\pi\) | |||||||
\(954\) | −2.03631 | + | 2.35003i | −0.0659281 | + | 0.0760850i | ||||
\(955\) | 8.13385 | + | 28.8832i | 0.263205 | + | 0.934639i | ||||
\(956\) | 23.9358 | − | 7.02817i | 0.774138 | − | 0.227307i | ||||
\(957\) | −8.95702 | + | 24.0147i | −0.289539 | + | 0.776285i | ||||
\(958\) | 7.17953 | − | 33.0038i | 0.231960 | − | 1.06630i | ||||
\(959\) | 1.17820 | − | 4.01258i | 0.0380460 | − | 0.129573i | ||||
\(960\) | 0.758130 | + | 2.10363i | 0.0244685 | + | 0.0678942i | ||||
\(961\) | −10.8207 | + | 23.6940i | −0.349054 | + | 0.764322i | ||||
\(962\) | −3.35912 | + | 2.51461i | −0.108302 | + | 0.0810742i | ||||
\(963\) | 13.4013 | − | 2.91527i | 0.431850 | − | 0.0939432i | ||||
\(964\) | −11.4877 | − | 13.2575i | −0.369993 | − | 0.426995i | ||||
\(965\) | −2.17199 | − | 10.5466i | −0.0699189 | − | 0.339507i | ||||
\(966\) | 1.83934 | + | 1.61710i | 0.0591798 | + | 0.0520293i | ||||
\(967\) | −33.4598 | + | 33.4598i | −1.07600 | + | 1.07600i | −0.0791316 | + | 0.996864i | \(0.525215\pi\) |
−0.996864 | + | 0.0791316i | \(0.974785\pi\) | |||||||
\(968\) | −0.307190 | + | 4.29508i | −0.00987347 | + | 0.138049i | ||||
\(969\) | 2.86204 | − | 4.45342i | 0.0919419 | − | 0.143064i | ||||
\(970\) | −9.99587 | + | 11.2805i | −0.320948 | + | 0.362194i | ||||
\(971\) | 27.7171 | + | 12.6580i | 0.889485 | + | 0.406214i | 0.807119 | − | 0.590388i | \(-0.201025\pi\) |
0.0823651 | + | 0.996602i | \(0.473753\pi\) | |||||||
\(972\) | −0.800541 | − | 0.599278i | −0.0256774 | − | 0.0192218i | ||||
\(973\) | −3.59159 | + | 1.96116i | −0.115141 | + | 0.0628718i | ||||
\(974\) | 1.78712 | + | 2.78082i | 0.0572632 | + | 0.0891032i | ||||
\(975\) | −16.5673 | − | 15.0121i | −0.530578 | − | 0.480772i | ||||
\(976\) | −1.08712 | − | 3.70239i | −0.0347978 | − | 0.118511i | ||||
\(977\) | −10.2979 | + | 0.736519i | −0.329458 | + | 0.0235633i | −0.235089 | − | 0.971974i | \(-0.575538\pi\) |
−0.0943696 | + | 0.995537i | \(0.530084\pi\) | |||||||
\(978\) | −14.9960 | + | 1.07253i | −0.479519 | + | 0.0342958i | ||||
\(979\) | −1.06739 | − | 3.63521i | −0.0341140 | − | 0.116182i | ||||
\(980\) | −2.30997 | + | 14.8912i | −0.0737892 | + | 0.475683i | ||||
\(981\) | −0.743244 | − | 1.15651i | −0.0237300 | − | 0.0369246i | ||||
\(982\) | 7.26955 | − | 3.96947i | 0.231981 | − | 0.126671i | ||||
\(983\) | −17.1433 | − | 12.8333i | −0.546787 | − | 0.409320i | 0.289854 | − | 0.957071i | \(-0.406393\pi\) |
−0.836641 | + | 0.547751i | \(0.815484\pi\) | |||||||
\(984\) | 8.70662 | + | 3.97618i | 0.277557 | + | 0.126756i | ||||
\(985\) | −1.82674 | − | 30.2559i | −0.0582049 | − | 0.964032i | ||||
\(986\) | 5.12144 | − | 7.96911i | 0.163100 | − | 0.253788i | ||||
\(987\) | −0.274120 | + | 3.83270i | −0.00872535 | + | 0.121996i | ||||
\(988\) | 17.5038 | − | 17.5038i | 0.556871 | − | 0.556871i | ||||
\(989\) | 1.84746 | + | 4.12358i | 0.0587458 | + | 0.131122i | ||||
\(990\) | 5.66639 | − | 1.16695i | 0.180090 | − | 0.0370881i | ||||
\(991\) | 5.14416 | + | 5.93667i | 0.163410 | + | 0.188585i | 0.831549 | − | 0.555451i | \(-0.187455\pi\) |
−0.668139 | + | 0.744036i | \(0.732909\pi\) | |||||||
\(992\) | 2.17448 | − | 0.473029i | 0.0690397 | − | 0.0150187i | ||||
\(993\) | 4.05922 | − | 3.03869i | 0.128815 | − | 0.0964299i | ||||
\(994\) | −1.67669 | + | 3.67143i | −0.0531813 | + | 0.116451i | ||||
\(995\) | 7.25915 | − | 15.4396i | 0.230130 | − | 0.489468i | ||||
\(996\) | 4.22651 | − | 14.3942i | 0.133922 | − | 0.456097i | ||||
\(997\) | −0.692017 | + | 3.18115i | −0.0219164 | + | 0.100748i | −0.986806 | − | 0.161909i | \(-0.948235\pi\) |
0.964889 | + | 0.262657i | \(0.0845987\pi\) | |||||||
\(998\) | −1.20012 | + | 3.21765i | −0.0379891 | + | 0.101853i | ||||
\(999\) | 0.900407 | − | 0.264383i | 0.0284876 | − | 0.00836472i |
(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 | 690.2.w.b.493.2 | yes | 240 | |
5.2 | odd | 4 | inner | 690.2.w.b.217.8 | yes | 240 | |
23.7 | odd | 22 | inner | 690.2.w.b.283.8 | yes | 240 | |
115.7 | even | 44 | inner | 690.2.w.b.7.2 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.b.7.2 | ✓ | 240 | 115.7 | even | 44 | inner | |
690.2.w.b.217.8 | yes | 240 | 5.2 | odd | 4 | inner | |
690.2.w.b.283.8 | yes | 240 | 23.7 | odd | 22 | inner | |
690.2.w.b.493.2 | yes | 240 | 1.1 | even | 1 | trivial |