Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(89,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.n (of order \(22\), degree \(10\), 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: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 89.2 | ||
Character | \(\chi\) | \(=\) | 690.89 |
Dual form | 690.2.n.a.659.2 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | − | 0.989821i | −0.100632 | − | 0.699909i | ||||
\(3\) | −1.67059 | + | 0.457309i | −0.964515 | + | 0.264027i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | 1.26417 | − | 1.84441i | 0.565356 | − | 0.824847i | ||||
\(6\) | 0.690404 | + | 1.58850i | 0.281856 | + | 0.648504i | ||||
\(7\) | −1.66558 | + | 1.07040i | −0.629529 | + | 0.404574i | −0.816135 | − | 0.577861i | \(-0.803887\pi\) |
0.186606 | + | 0.982435i | \(0.440251\pi\) | |||||||
\(8\) | 0.415415 | + | 0.909632i | 0.146871 | + | 0.321603i | ||||
\(9\) | 2.58174 | − | 1.52795i | 0.860579 | − | 0.509317i | ||||
\(10\) | −2.00555 | − | 0.988819i | −0.634211 | − | 0.312692i | ||||
\(11\) | −0.163968 | + | 1.14042i | −0.0494383 | + | 0.343851i | 0.950057 | + | 0.312077i | \(0.101025\pi\) |
−0.999495 | + | 0.0317739i | \(0.989884\pi\) | |||||||
\(12\) | 1.47408 | − | 0.909444i | 0.425530 | − | 0.262534i | ||||
\(13\) | 3.31360 | − | 5.15606i | 0.919027 | − | 1.43003i | 0.0162778 | − | 0.999868i | \(-0.494818\pi\) |
0.902749 | − | 0.430167i | \(-0.141545\pi\) | |||||||
\(14\) | 1.29654 | + | 1.49629i | 0.346515 | + | 0.399900i | ||||
\(15\) | −1.26845 | + | 3.65938i | −0.327512 | + | 0.944847i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −0.599806 | + | 2.04275i | −0.145474 | + | 0.495440i | −0.999701 | − | 0.0244610i | \(-0.992213\pi\) |
0.854226 | + | 0.519901i | \(0.174031\pi\) | |||||||
\(18\) | −1.87982 | − | 2.33801i | −0.443077 | − | 0.551074i | ||||
\(19\) | −0.290163 | − | 0.988203i | −0.0665679 | − | 0.226709i | 0.919490 | − | 0.393114i | \(-0.128602\pi\) |
−0.986058 | + | 0.166405i | \(0.946784\pi\) | |||||||
\(20\) | −0.693335 | + | 2.12586i | −0.155034 | + | 0.475357i | ||||
\(21\) | 2.29299 | − | 2.54988i | 0.500372 | − | 0.556430i | ||||
\(22\) | 1.15215 | 0.245640 | ||||||||
\(23\) | −4.69475 | + | 0.979447i | −0.978923 | + | 0.204229i | ||||
\(24\) | −1.10997 | − | 1.32965i | −0.226572 | − | 0.271413i | ||||
\(25\) | −1.80373 | − | 4.66332i | −0.360745 | − | 0.932664i | ||||
\(26\) | −5.57516 | − | 2.54609i | −1.09338 | − | 0.499329i | ||||
\(27\) | −3.61428 | + | 3.73323i | −0.695568 | + | 0.718460i | ||||
\(28\) | 1.29654 | − | 1.49629i | 0.245023 | − | 0.282772i | ||||
\(29\) | 0.730713 | − | 2.48858i | 0.135690 | − | 0.462118i | −0.863411 | − | 0.504500i | \(-0.831677\pi\) |
0.999101 | + | 0.0423827i | \(0.0134949\pi\) | |||||||
\(30\) | 3.80265 | + | 0.734755i | 0.694265 | + | 0.134147i | ||||
\(31\) | −2.50579 | − | 5.48692i | −0.450053 | − | 0.985479i | −0.989643 | − | 0.143551i | \(-0.954148\pi\) |
0.539590 | − | 0.841928i | \(-0.318579\pi\) | |||||||
\(32\) | −0.654861 | − | 0.755750i | −0.115764 | − | 0.133599i | ||||
\(33\) | −0.247602 | − | 1.98017i | −0.0431020 | − | 0.344703i | ||||
\(34\) | 2.10732 | + | 0.302987i | 0.361403 | + | 0.0519619i | ||||
\(35\) | −0.131316 | + | 4.42519i | −0.0221965 | + | 0.747993i | ||||
\(36\) | −2.04669 | + | 2.19342i | −0.341114 | + | 0.365569i | ||||
\(37\) | −5.56307 | − | 6.42013i | −0.914563 | − | 1.05546i | −0.998260 | − | 0.0589712i | \(-0.981218\pi\) |
0.0836962 | − | 0.996491i | \(-0.473327\pi\) | |||||||
\(38\) | −0.936850 | + | 0.427845i | −0.151977 | + | 0.0694057i | ||||
\(39\) | −3.17775 | + | 10.1290i | −0.508848 | + | 1.62194i | ||||
\(40\) | 2.20290 | + | 0.383736i | 0.348308 | + | 0.0606740i | ||||
\(41\) | −2.34577 | − | 2.03262i | −0.366348 | − | 0.317442i | 0.452161 | − | 0.891936i | \(-0.350653\pi\) |
−0.818509 | + | 0.574494i | \(0.805199\pi\) | |||||||
\(42\) | −2.85026 | − | 1.90677i | −0.439804 | − | 0.294220i | ||||
\(43\) | 5.08716 | − | 11.1393i | 0.775785 | − | 1.69873i | 0.0623041 | − | 0.998057i | \(-0.480155\pi\) |
0.713481 | − | 0.700675i | \(-0.247118\pi\) | |||||||
\(44\) | −0.163968 | − | 1.14042i | −0.0247192 | − | 0.171925i | ||||
\(45\) | 0.445595 | − | 6.69339i | 0.0664253 | − | 0.997791i | ||||
\(46\) | 1.63761 | + | 4.50757i | 0.241453 | + | 0.664606i | ||||
\(47\) | −4.55049 | −0.663757 | −0.331879 | − | 0.943322i | \(-0.607682\pi\) | ||||
−0.331879 | + | 0.943322i | \(0.607682\pi\) | |||||||
\(48\) | −1.15815 | + | 1.28790i | −0.167164 | + | 0.185893i | ||||
\(49\) | −1.27952 | + | 2.80176i | −0.182788 | + | 0.400251i | ||||
\(50\) | −4.35916 | + | 2.44903i | −0.616478 | + | 0.346345i | ||||
\(51\) | 0.0678616 | − | 3.68690i | 0.00950253 | − | 0.516269i | ||||
\(52\) | −1.72675 | + | 5.88075i | −0.239456 | + | 0.815514i | ||||
\(53\) | 2.42234 | + | 3.76924i | 0.332734 | + | 0.517745i | 0.966800 | − | 0.255534i | \(-0.0822514\pi\) |
−0.634066 | + | 0.773279i | \(0.718615\pi\) | |||||||
\(54\) | 4.20959 | + | 3.04620i | 0.572853 | + | 0.414535i | ||||
\(55\) | 1.89613 | + | 1.74412i | 0.255674 | + | 0.235177i | ||||
\(56\) | −1.66558 | − | 1.07040i | −0.222572 | − | 0.143038i | ||||
\(57\) | 0.936657 | + | 1.51819i | 0.124063 | + | 0.201089i | ||||
\(58\) | −2.56724 | − | 0.369114i | −0.337095 | − | 0.0484670i | ||||
\(59\) | −3.10824 | + | 4.83651i | −0.404658 | + | 0.629660i | −0.982450 | − | 0.186524i | \(-0.940278\pi\) |
0.577793 | + | 0.816184i | \(0.303914\pi\) | |||||||
\(60\) | 0.186103 | − | 3.86851i | 0.0240258 | − | 0.499422i | ||||
\(61\) | −9.92774 | + | 4.53385i | −1.27112 | + | 0.580499i | −0.932753 | − | 0.360516i | \(-0.882601\pi\) |
−0.338363 | + | 0.941016i | \(0.609873\pi\) | |||||||
\(62\) | −5.07446 | + | 3.26115i | −0.644457 | + | 0.414167i | ||||
\(63\) | −2.66456 | + | 5.30841i | −0.335703 | + | 0.668797i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | −5.32094 | − | 12.6298i | −0.659982 | − | 1.56654i | ||||
\(66\) | −1.92477 | + | 0.526889i | −0.236923 | + | 0.0648556i | ||||
\(67\) | −0.884738 | − | 6.15349i | −0.108088 | − | 0.751768i | −0.969717 | − | 0.244230i | \(-0.921465\pi\) |
0.861629 | − | 0.507538i | \(-0.169444\pi\) | |||||||
\(68\) | − | 2.12899i | − | 0.258178i | ||||||
\(69\) | 7.39509 | − | 3.78320i | 0.890264 | − | 0.455444i | ||||
\(70\) | 4.39883 | − | 0.499790i | 0.525761 | − | 0.0597363i | ||||
\(71\) | −12.3693 | + | 1.77844i | −1.46797 | + | 0.211062i | −0.829465 | − | 0.558559i | \(-0.811354\pi\) |
−0.638501 | + | 0.769621i | \(0.720445\pi\) | |||||||
\(72\) | 2.46236 | + | 1.71370i | 0.290192 | + | 0.201961i | ||||
\(73\) | 0.762867 | + | 2.59809i | 0.0892868 | + | 0.304083i | 0.992014 | − | 0.126131i | \(-0.0402561\pi\) |
−0.902727 | + | 0.430214i | \(0.858438\pi\) | |||||||
\(74\) | −5.56307 | + | 6.42013i | −0.646694 | + | 0.746325i | ||||
\(75\) | 5.14586 | + | 6.96564i | 0.594193 | + | 0.804322i | ||||
\(76\) | 0.556818 | + | 0.866426i | 0.0638714 | + | 0.0993859i | ||||
\(77\) | −0.947610 | − | 2.07498i | −0.107990 | − | 0.236465i | ||||
\(78\) | 10.4781 | + | 1.70390i | 1.18642 | + | 0.192929i | ||||
\(79\) | 6.33604 | − | 9.85907i | 0.712860 | − | 1.10923i | −0.276111 | − | 0.961126i | \(-0.589046\pi\) |
0.988971 | − | 0.148107i | \(-0.0473179\pi\) | |||||||
\(80\) | 0.0663257 | − | 2.23508i | 0.00741544 | − | 0.249890i | ||||
\(81\) | 4.33074 | − | 7.88953i | 0.481193 | − | 0.876615i | ||||
\(82\) | −1.67810 | + | 2.61117i | −0.185315 | + | 0.288355i | ||||
\(83\) | 12.6878 | − | 10.9940i | 1.39266 | − | 1.20675i | 0.441809 | − | 0.897109i | \(-0.354337\pi\) |
0.950854 | − | 0.309640i | \(-0.100208\pi\) | |||||||
\(84\) | −1.48172 | + | 3.09260i | −0.161669 | + | 0.337431i | ||||
\(85\) | 3.00942 | + | 3.68869i | 0.326418 | + | 0.400094i | ||||
\(86\) | −11.7499 | − | 3.45009i | −1.26703 | − | 0.372033i | ||||
\(87\) | −0.0826723 | + | 4.49156i | −0.00886340 | + | 0.481545i | ||||
\(88\) | −1.10548 | + | 0.324599i | −0.117845 | + | 0.0346023i | ||||
\(89\) | 4.37896 | − | 9.58859i | 0.464169 | − | 1.01639i | −0.522348 | − | 0.852732i | \(-0.674944\pi\) |
0.986517 | − | 0.163656i | \(-0.0523288\pi\) | |||||||
\(90\) | −6.68867 | + | 0.511509i | −0.705048 | + | 0.0539178i | ||||
\(91\) | 12.1347i | 1.27206i | ||||||||
\(92\) | 4.22864 | − | 2.26244i | 0.440866 | − | 0.235875i | ||||
\(93\) | 6.69536 | + | 8.02046i | 0.694277 | + | 0.831683i | ||||
\(94\) | 0.647602 | + | 4.50417i | 0.0667951 | + | 0.464570i | ||||
\(95\) | −2.18947 | − | 0.714081i | −0.224635 | − | 0.0732632i | ||||
\(96\) | 1.43961 | + | 0.963074i | 0.146930 | + | 0.0982933i | ||||
\(97\) | −4.00396 | + | 4.62082i | −0.406541 | + | 0.469173i | −0.921690 | − | 0.387927i | \(-0.873191\pi\) |
0.515149 | + | 0.857101i | \(0.327737\pi\) | |||||||
\(98\) | 2.95533 | + | 0.867764i | 0.298534 | + | 0.0876574i | ||||
\(99\) | 1.31919 | + | 3.19481i | 0.132583 | + | 0.321091i | ||||
\(100\) | 3.04447 | + | 3.96626i | 0.304447 | + | 0.396626i | ||||
\(101\) | −2.19700 | + | 1.90371i | −0.218609 | + | 0.189426i | −0.757280 | − | 0.653090i | \(-0.773472\pi\) |
0.538671 | + | 0.842516i | \(0.318927\pi\) | |||||||
\(102\) | −3.65903 | + | 0.457529i | −0.362298 | + | 0.0453021i | ||||
\(103\) | 0.618015 | − | 4.29839i | 0.0608948 | − | 0.423533i | −0.936456 | − | 0.350786i | \(-0.885914\pi\) |
0.997350 | − | 0.0727468i | \(-0.0231765\pi\) | |||||||
\(104\) | 6.06664 | + | 0.872251i | 0.594883 | + | 0.0855312i | ||||
\(105\) | −1.80430 | − | 7.45272i | −0.176082 | − | 0.727311i | ||||
\(106\) | 3.38614 | − | 2.93411i | 0.328891 | − | 0.284986i | ||||
\(107\) | 0.263932 | − | 0.120534i | 0.0255153 | − | 0.0116524i | −0.402617 | − | 0.915369i | \(-0.631899\pi\) |
0.428132 | + | 0.903716i | \(0.359172\pi\) | |||||||
\(108\) | 2.41610 | − | 4.60027i | 0.232490 | − | 0.442661i | ||||
\(109\) | −1.00167 | + | 3.41137i | −0.0959424 | + | 0.326750i | −0.993453 | − | 0.114243i | \(-0.963556\pi\) |
0.897510 | + | 0.440993i | \(0.145374\pi\) | |||||||
\(110\) | 1.45652 | − | 2.12505i | 0.138874 | − | 0.202615i | ||||
\(111\) | 12.2296 | + | 8.18136i | 1.16078 | + | 0.776540i | ||||
\(112\) | −0.822470 | + | 1.80096i | −0.0777161 | + | 0.170174i | ||||
\(113\) | 14.7911 | − | 2.12664i | 1.39143 | − | 0.200058i | 0.594484 | − | 0.804107i | \(-0.297356\pi\) |
0.796947 | + | 0.604050i | \(0.206447\pi\) | |||||||
\(114\) | 1.36944 | − | 1.14318i | 0.128259 | − | 0.107069i | ||||
\(115\) | −4.12848 | + | 9.89726i | −0.384982 | + | 0.922924i | ||||
\(116\) | 2.59364i | 0.240814i | ||||||||
\(117\) | 0.676641 | − | 18.3746i | 0.0625555 | − | 1.69873i | ||||
\(118\) | 5.22963 | + | 2.38829i | 0.481426 | + | 0.219860i | ||||
\(119\) | −1.18754 | − | 4.04439i | −0.108862 | − | 0.370749i | ||||
\(120\) | −3.85562 | + | 0.366337i | −0.351968 | + | 0.0334419i | ||||
\(121\) | 9.28074 | + | 2.72507i | 0.843704 | + | 0.247734i | ||||
\(122\) | 5.90056 | + | 9.18145i | 0.534212 | + | 0.831250i | ||||
\(123\) | 4.84836 | + | 2.32294i | 0.437162 | + | 0.209452i | ||||
\(124\) | 3.95013 | + | 4.55869i | 0.354732 | + | 0.409383i | ||||
\(125\) | −10.8813 | − | 2.56843i | −0.973255 | − | 0.229728i | ||||
\(126\) | 5.63359 | + | 1.88198i | 0.501880 | + | 0.167660i | ||||
\(127\) | 2.97314 | + | 0.427473i | 0.263824 | + | 0.0379321i | 0.272957 | − | 0.962026i | \(-0.411998\pi\) |
−0.00913362 | + | 0.999958i | \(0.502907\pi\) | |||||||
\(128\) | 0.841254 | + | 0.540641i | 0.0743570 | + | 0.0477863i | ||||
\(129\) | −3.40445 | + | 20.9357i | −0.299745 | + | 1.84328i | ||||
\(130\) | −11.7440 | + | 7.06419i | −1.03002 | + | 0.619571i | ||||
\(131\) | 6.52880 | + | 10.1590i | 0.570424 | + | 0.887597i | 0.999880 | − | 0.0154907i | \(-0.00493104\pi\) |
−0.429456 | + | 0.903088i | \(0.641295\pi\) | |||||||
\(132\) | 0.795450 | + | 1.83020i | 0.0692350 | + | 0.159298i | ||||
\(133\) | 1.54106 | + | 1.33534i | 0.133627 | + | 0.115788i | ||||
\(134\) | −5.96494 | + | 1.75146i | −0.515292 | + | 0.151303i | ||||
\(135\) | 2.31654 | + | 11.3857i | 0.199376 | + | 0.979923i | ||||
\(136\) | −2.10732 | + | 0.302987i | −0.180701 | + | 0.0259809i | ||||
\(137\) | − | 0.420827i | − | 0.0359536i | −0.999838 | − | 0.0179768i | \(-0.994277\pi\) | ||
0.999838 | − | 0.0179768i | \(-0.00572251\pi\) | |||||||
\(138\) | −4.79713 | − | 6.78141i | −0.408359 | − | 0.577272i | ||||
\(139\) | 18.6589 | 1.58262 | 0.791312 | − | 0.611413i | \(-0.209399\pi\) | ||||
0.791312 | + | 0.611413i | \(0.209399\pi\) | |||||||
\(140\) | −1.12072 | − | 4.28293i | −0.0947183 | − | 0.361974i | ||||
\(141\) | 7.60200 | − | 2.08098i | 0.640204 | − | 0.175250i | ||||
\(142\) | 3.52067 | + | 11.9903i | 0.295448 | + | 1.00620i | ||||
\(143\) | 5.33677 | + | 4.62434i | 0.446284 | + | 0.386707i | ||||
\(144\) | 1.34582 | − | 2.68119i | 0.112152 | − | 0.223432i | ||||
\(145\) | −3.66622 | − | 4.49374i | −0.304463 | − | 0.373185i | ||||
\(146\) | 2.46307 | − | 1.12485i | 0.203846 | − | 0.0930931i | ||||
\(147\) | 0.856284 | − | 5.26572i | 0.0706251 | − | 0.434309i | ||||
\(148\) | 7.14649 | + | 4.59277i | 0.587438 | + | 0.377523i | ||||
\(149\) | −1.38027 | + | 9.59999i | −0.113076 | + | 0.786461i | 0.851821 | + | 0.523833i | \(0.175498\pi\) |
−0.964897 | + | 0.262628i | \(0.915411\pi\) | |||||||
\(150\) | 6.16240 | − | 6.08480i | 0.503158 | − | 0.496822i | ||||
\(151\) | −1.86013 | − | 1.19543i | −0.151375 | − | 0.0972829i | 0.462761 | − | 0.886483i | \(-0.346859\pi\) |
−0.614136 | + | 0.789200i | \(0.710495\pi\) | |||||||
\(152\) | 0.778363 | − | 0.674456i | 0.0631336 | − | 0.0547056i | ||||
\(153\) | 1.57268 | + | 6.19032i | 0.127144 | + | 0.500458i | ||||
\(154\) | −1.91900 | + | 1.23326i | −0.154637 | + | 0.0993793i | ||||
\(155\) | −13.2879 | − | 2.31470i | −1.06731 | − | 0.185921i | ||||
\(156\) | 0.195363 | − | 10.6140i | 0.0156415 | − | 0.849799i | ||||
\(157\) | 9.92259 | − | 2.91354i | 0.791909 | − | 0.232526i | 0.139330 | − | 0.990246i | \(-0.455505\pi\) |
0.652579 | + | 0.757720i | \(0.273687\pi\) | |||||||
\(158\) | −10.6604 | − | 4.86846i | −0.848099 | − | 0.387314i | ||||
\(159\) | −5.77045 | − | 5.18909i | −0.457626 | − | 0.411522i | ||||
\(160\) | −2.22177 | + | 0.252435i | −0.175647 | + | 0.0199567i | ||||
\(161\) | 6.77106 | − | 6.65661i | 0.533635 | − | 0.524614i | ||||
\(162\) | −8.42556 | − | 3.16386i | −0.661974 | − | 0.248576i | ||||
\(163\) | −1.35223 | + | 0.194421i | −0.105915 | + | 0.0152282i | −0.195068 | − | 0.980790i | \(-0.562493\pi\) |
0.0891537 | + | 0.996018i | \(0.471584\pi\) | |||||||
\(164\) | 2.82341 | + | 1.28941i | 0.220471 | + | 0.100686i | ||||
\(165\) | −3.96526 | − | 2.04659i | −0.308695 | − | 0.159327i | ||||
\(166\) | −12.6878 | − | 10.9940i | −0.984761 | − | 0.853300i | ||||
\(167\) | 17.7218 | + | 5.20358i | 1.37135 | + | 0.402665i | 0.882751 | − | 0.469842i | \(-0.155689\pi\) |
0.488602 | + | 0.872507i | \(0.337507\pi\) | |||||||
\(168\) | 3.27200 | + | 1.02652i | 0.252440 | + | 0.0791976i | ||||
\(169\) | −10.2046 | − | 22.3450i | −0.784972 | − | 1.71885i | ||||
\(170\) | 3.22286 | − | 3.50374i | 0.247182 | − | 0.268725i | ||||
\(171\) | −2.25905 | − | 2.10793i | −0.172754 | − | 0.161197i | ||||
\(172\) | −1.74278 | + | 12.1213i | −0.132886 | + | 0.924243i | ||||
\(173\) | −2.17092 | + | 15.0991i | −0.165052 | + | 1.14796i | 0.723882 | + | 0.689924i | \(0.242356\pi\) |
−0.888933 | + | 0.458036i | \(0.848553\pi\) | |||||||
\(174\) | 4.45760 | − | 0.557384i | 0.337930 | − | 0.0422552i | ||||
\(175\) | 7.99587 | + | 5.83641i | 0.604431 | + | 0.441191i | ||||
\(176\) | 0.478621 | + | 1.04803i | 0.0360774 | + | 0.0789986i | ||||
\(177\) | 2.98081 | − | 9.50124i | 0.224051 | − | 0.714157i | ||||
\(178\) | −10.1142 | − | 2.96979i | −0.758090 | − | 0.222595i | ||||
\(179\) | −6.11494 | − | 5.29863i | −0.457052 | − | 0.396038i | 0.395678 | − | 0.918389i | \(-0.370510\pi\) |
−0.852730 | + | 0.522351i | \(0.825055\pi\) | |||||||
\(180\) | 1.45820 | + | 6.54780i | 0.108688 | + | 0.488044i | ||||
\(181\) | −4.11475 | − | 1.87914i | −0.305847 | − | 0.139676i | 0.256579 | − | 0.966523i | \(-0.417405\pi\) |
−0.562426 | + | 0.826848i | \(0.690132\pi\) | |||||||
\(182\) | 12.0112 | − | 1.72695i | 0.890328 | − | 0.128010i | ||||
\(183\) | 14.5118 | − | 12.1142i | 1.07274 | − | 0.895510i | ||||
\(184\) | −2.84121 | − | 3.86362i | −0.209457 | − | 0.284830i | ||||
\(185\) | −18.8741 | + | 2.14445i | −1.38765 | + | 0.157663i | ||||
\(186\) | 6.98598 | − | 7.76864i | 0.512237 | − | 0.569625i | ||||
\(187\) | −2.23126 | − | 1.01898i | −0.163166 | − | 0.0745152i | ||||
\(188\) | 4.36616 | − | 1.28202i | 0.318435 | − | 0.0935010i | ||||
\(189\) | 2.02381 | − | 10.0867i | 0.147210 | − | 0.733700i | ||||
\(190\) | −0.395219 | + | 2.26881i | −0.0286722 | + | 0.164597i | ||||
\(191\) | 11.1897 | − | 7.19121i | 0.809662 | − | 0.520338i | −0.0690938 | − | 0.997610i | \(-0.522011\pi\) |
0.878756 | + | 0.477272i | \(0.158374\pi\) | |||||||
\(192\) | 0.748393 | − | 1.56202i | 0.0540106 | − | 0.112729i | ||||
\(193\) | −4.29782 | + | 3.72408i | −0.309364 | + | 0.268065i | −0.795679 | − | 0.605718i | \(-0.792886\pi\) |
0.486316 | + | 0.873783i | \(0.338340\pi\) | |||||||
\(194\) | 5.14361 | + | 3.30560i | 0.369290 | + | 0.237328i | ||||
\(195\) | 14.6648 | + | 18.6659i | 1.05017 | + | 1.33669i | ||||
\(196\) | 0.438344 | − | 3.04875i | 0.0313103 | − | 0.217768i | ||||
\(197\) | 10.4485 | + | 6.71487i | 0.744428 | + | 0.478415i | 0.857056 | − | 0.515223i | \(-0.172291\pi\) |
−0.112629 | + | 0.993637i | \(0.535927\pi\) | |||||||
\(198\) | 2.97455 | − | 1.76043i | 0.211392 | − | 0.125108i | ||||
\(199\) | −9.96489 | + | 4.55081i | −0.706393 | + | 0.322599i | −0.736018 | − | 0.676962i | \(-0.763296\pi\) |
0.0296250 | + | 0.999561i | \(0.490569\pi\) | |||||||
\(200\) | 3.49261 | − | 3.57794i | 0.246965 | − | 0.252999i | ||||
\(201\) | 4.29208 | + | 9.87535i | 0.302740 | + | 0.696553i | ||||
\(202\) | 2.19700 | + | 1.90371i | 0.154580 | + | 0.133944i | ||||
\(203\) | 1.44672 | + | 4.92708i | 0.101540 | + | 0.345813i | ||||
\(204\) | 0.973606 | + | 3.55667i | 0.0681661 | + | 0.249017i | ||||
\(205\) | −6.71446 | + | 1.75698i | −0.468958 | + | 0.122713i | ||||
\(206\) | −4.34259 | −0.302563 | ||||||||
\(207\) | −10.6241 | + | 9.70202i | −0.738424 | + | 0.674337i | ||||
\(208\) | − | 6.12902i | − | 0.424971i | ||||||
\(209\) | 1.17455 | − | 0.168875i | 0.0812453 | − | 0.0116813i | ||||
\(210\) | −7.12008 | + | 2.84657i | −0.491332 | + | 0.196432i | ||||
\(211\) | 8.94819 | − | 2.62743i | 0.616019 | − | 0.180880i | 0.0411878 | − | 0.999151i | \(-0.486886\pi\) |
0.574831 | + | 0.818272i | \(0.305068\pi\) | |||||||
\(212\) | −3.38614 | − | 2.93411i | −0.232561 | − | 0.201515i | ||||
\(213\) | 19.8507 | − | 8.62763i | 1.36015 | − | 0.591155i | ||||
\(214\) | −0.156868 | − | 0.244092i | −0.0107233 | − | 0.0166858i | ||||
\(215\) | −14.1145 | − | 23.4649i | −0.962599 | − | 1.60029i | ||||
\(216\) | −4.89729 | − | 1.73682i | −0.333218 | − | 0.118176i | ||||
\(217\) | 10.0468 | + | 6.45668i | 0.682020 | + | 0.438308i | ||||
\(218\) | 3.51920 | + | 0.505984i | 0.238350 | + | 0.0342696i | ||||
\(219\) | −2.46257 | − | 3.99147i | −0.166405 | − | 0.269719i | ||||
\(220\) | −2.31070 | − | 1.13927i | −0.155787 | − | 0.0768096i | ||||
\(221\) | 8.54504 | + | 9.86150i | 0.574802 | + | 0.663356i | ||||
\(222\) | 6.35763 | − | 13.2694i | 0.426696 | − | 0.890586i | ||||
\(223\) | −15.0451 | − | 23.4106i | −1.00749 | − | 1.56769i | −0.809190 | − | 0.587547i | \(-0.800094\pi\) |
−0.198302 | − | 0.980141i | \(-0.563543\pi\) | |||||||
\(224\) | 1.89968 | + | 0.557795i | 0.126927 | + | 0.0372693i | ||||
\(225\) | −11.7821 | − | 9.28347i | −0.785471 | − | 0.618898i | ||||
\(226\) | −4.20999 | − | 14.3379i | −0.280044 | − | 0.953744i | ||||
\(227\) | −16.2449 | − | 7.41882i | −1.07821 | − | 0.492404i | −0.204512 | − | 0.978864i | \(-0.565561\pi\) |
−0.873703 | + | 0.486460i | \(0.838288\pi\) | |||||||
\(228\) | −1.32644 | − | 1.19280i | −0.0878455 | − | 0.0789954i | ||||
\(229\) | − | 16.1774i | − | 1.06903i | −0.845159 | − | 0.534515i | \(-0.820494\pi\) | ||
0.845159 | − | 0.534515i | \(-0.179506\pi\) | |||||||
\(230\) | 10.3841 | + | 2.67793i | 0.684705 | + | 0.176577i | ||||
\(231\) | 2.53197 | + | 3.03308i | 0.166591 | + | 0.199562i | ||||
\(232\) | 2.56724 | − | 0.369114i | 0.168548 | − | 0.0242335i | ||||
\(233\) | 7.78621 | − | 17.0494i | 0.510092 | − | 1.11694i | −0.462965 | − | 0.886377i | \(-0.653214\pi\) |
0.973056 | − | 0.230568i | \(-0.0740584\pi\) | |||||||
\(234\) | −18.2839 | + | 1.94523i | −1.19525 | + | 0.127163i | ||||
\(235\) | −5.75261 | + | 8.39299i | −0.375259 | + | 0.547498i | ||||
\(236\) | 1.61973 | − | 5.51629i | 0.105435 | − | 0.359080i | ||||
\(237\) | −6.07628 | + | 19.3680i | −0.394697 | + | 1.25809i | ||||
\(238\) | −3.83422 | + | 1.75103i | −0.248536 | + | 0.113502i | ||||
\(239\) | −11.5926 | + | 10.0450i | −0.749861 | + | 0.649758i | −0.943522 | − | 0.331311i | \(-0.892509\pi\) |
0.193661 | + | 0.981068i | \(0.437964\pi\) | |||||||
\(240\) | 0.911320 | + | 3.76424i | 0.0588255 | + | 0.242981i | ||||
\(241\) | −18.4645 | − | 2.65479i | −1.18940 | − | 0.171010i | −0.480936 | − | 0.876756i | \(-0.659703\pi\) |
−0.708465 | + | 0.705746i | \(0.750612\pi\) | |||||||
\(242\) | 1.37655 | − | 9.57409i | 0.0884878 | − | 0.615446i | ||||
\(243\) | −3.62694 | + | 15.1607i | −0.232668 | + | 0.972556i | ||||
\(244\) | 8.24826 | − | 7.14716i | 0.528041 | − | 0.457550i | ||||
\(245\) | 3.55006 | + | 5.90187i | 0.226805 | + | 0.377057i | ||||
\(246\) | 1.60930 | − | 5.12960i | 0.102605 | − | 0.327051i | ||||
\(247\) | −6.05672 | − | 1.77841i | −0.385380 | − | 0.113158i | ||||
\(248\) | 3.95013 | − | 4.55869i | 0.250834 | − | 0.289477i | ||||
\(249\) | −16.1684 | + | 24.1687i | −1.02463 | + | 1.53163i | ||||
\(250\) | −0.993718 | + | 11.1361i | −0.0628482 | + | 0.704308i | ||||
\(251\) | 0.409367 | + | 2.84721i | 0.0258390 | + | 0.179714i | 0.998654 | − | 0.0518700i | \(-0.0165181\pi\) |
−0.972815 | + | 0.231584i | \(0.925609\pi\) | |||||||
\(252\) | 1.06108 | − | 5.84408i | 0.0668415 | − | 0.368142i | ||||
\(253\) | −0.347196 | − | 5.51461i | −0.0218280 | − | 0.346700i | ||||
\(254\) | − | 3.00371i | − | 0.188470i | ||||||
\(255\) | −6.71438 | − | 4.78605i | −0.420470 | − | 0.299714i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | −7.62412 | + | 2.23864i | −0.475579 | + | 0.139643i | −0.510733 | − | 0.859739i | \(-0.670626\pi\) |
0.0351539 | + | 0.999382i | \(0.488808\pi\) | |||||||
\(258\) | 21.2071 | + | 0.390341i | 1.32029 | + | 0.0243015i | ||||
\(259\) | 16.1378 | + | 4.73849i | 1.00276 | + | 0.294436i | ||||
\(260\) | 8.66364 | + | 10.6191i | 0.537296 | + | 0.658571i | ||||
\(261\) | −1.91592 | − | 7.54135i | −0.118592 | − | 0.466798i | ||||
\(262\) | 9.12646 | − | 7.90813i | 0.563835 | − | 0.488566i | ||||
\(263\) | −9.69651 | + | 15.0881i | −0.597912 | + | 0.930370i | 0.401979 | + | 0.915649i | \(0.368322\pi\) |
−0.999892 | + | 0.0147208i | \(0.995314\pi\) | |||||||
\(264\) | 1.69836 | − | 1.04782i | 0.104527 | − | 0.0644887i | ||||
\(265\) | 10.0143 | + | 0.297172i | 0.615174 | + | 0.0182552i | ||||
\(266\) | 1.10243 | − | 1.71541i | 0.0675943 | − | 0.105179i | ||||
\(267\) | −2.93050 | + | 18.0211i | −0.179344 | + | 1.10288i | ||||
\(268\) | 2.58254 | + | 5.65497i | 0.157754 | + | 0.345432i | ||||
\(269\) | −14.5143 | − | 22.5847i | −0.884953 | − | 1.37701i | −0.925867 | − | 0.377851i | \(-0.876663\pi\) |
0.0409139 | − | 0.999163i | \(-0.486973\pi\) | |||||||
\(270\) | 10.9401 | − | 3.91331i | 0.665794 | − | 0.238156i | ||||
\(271\) | −21.1673 | + | 24.4284i | −1.28582 | + | 1.48392i | −0.499199 | + | 0.866487i | \(0.666372\pi\) |
−0.786624 | + | 0.617432i | \(0.788173\pi\) | |||||||
\(272\) | 0.599806 | + | 2.04275i | 0.0363686 | + | 0.123860i | ||||
\(273\) | −5.54930 | − | 20.2721i | −0.335859 | − | 1.22692i | ||||
\(274\) | −0.416543 | + | 0.0598899i | −0.0251643 | + | 0.00361808i | ||||
\(275\) | 5.61392 | − | 1.29238i | 0.338532 | − | 0.0779333i | ||||
\(276\) | −6.02969 | + | 5.71340i | −0.362944 | + | 0.343906i | ||||
\(277\) | 6.65868i | 0.400081i | 0.979788 | + | 0.200041i | \(0.0641074\pi\) | ||||
−0.979788 | + | 0.200041i | \(0.935893\pi\) | |||||||
\(278\) | −2.65543 | − | 18.4689i | −0.159262 | − | 1.10769i | ||||
\(279\) | −14.8530 | − | 10.3371i | −0.889227 | − | 0.618863i | ||||
\(280\) | −4.07984 | + | 1.71884i | −0.243817 | + | 0.102720i | ||||
\(281\) | 5.57442 | − | 6.43323i | 0.332542 | − | 0.383774i | −0.564712 | − | 0.825288i | \(-0.691013\pi\) |
0.897255 | + | 0.441514i | \(0.145558\pi\) | |||||||
\(282\) | −3.14167 | − | 7.22847i | −0.187084 | − | 0.430449i | ||||
\(283\) | 6.71436 | − | 4.31506i | 0.399127 | − | 0.256504i | −0.325645 | − | 0.945492i | \(-0.605581\pi\) |
0.724772 | + | 0.688989i | \(0.241945\pi\) | |||||||
\(284\) | 11.3672 | − | 5.19123i | 0.674520 | − | 0.308043i | ||||
\(285\) | 3.98426 | + | 0.191672i | 0.236007 | + | 0.0113537i | ||||
\(286\) | 3.81777 | − | 5.94057i | 0.225749 | − | 0.351273i | ||||
\(287\) | 6.08278 | + | 0.874572i | 0.359055 | + | 0.0516244i | ||||
\(288\) | −2.84543 | − | 0.950553i | −0.167668 | − | 0.0560119i | ||||
\(289\) | 10.4882 | + | 6.74038i | 0.616955 | + | 0.396493i | ||||
\(290\) | −3.92624 | + | 4.26843i | −0.230557 | + | 0.250651i | ||||
\(291\) | 4.57584 | − | 9.55054i | 0.268240 | − | 0.559863i | ||||
\(292\) | −1.46393 | − | 2.27792i | −0.0856701 | − | 0.133305i | ||||
\(293\) | −6.14801 | + | 20.9382i | −0.359171 | + | 1.22322i | 0.559710 | + | 0.828688i | \(0.310912\pi\) |
−0.918881 | + | 0.394535i | \(0.870906\pi\) | |||||||
\(294\) | −5.33398 | − | 0.0981781i | −0.311084 | − | 0.00572586i | ||||
\(295\) | 4.99117 | + | 11.8471i | 0.290597 | + | 0.689763i | ||||
\(296\) | 3.52897 | − | 7.72737i | 0.205117 | − | 0.449144i | ||||
\(297\) | −3.66484 | − | 4.73394i | −0.212655 | − | 0.274691i | ||||
\(298\) | 9.69870 | 0.561831 | ||||||||
\(299\) | −10.5064 | + | 27.4519i | −0.607603 | + | 1.58759i | ||||
\(300\) | −6.89987 | − | 5.23372i | −0.398364 | − | 0.302169i | ||||
\(301\) | 3.45049 | + | 23.9987i | 0.198883 | + | 1.38326i | ||||
\(302\) | −0.918541 | + | 2.01132i | −0.0528561 | + | 0.115739i | ||||
\(303\) | 2.79970 | − | 4.18502i | 0.160838 | − | 0.240423i | ||||
\(304\) | −0.778363 | − | 0.674456i | −0.0446422 | − | 0.0386827i | ||||
\(305\) | −4.18810 | + | 24.0424i | −0.239810 | + | 1.37667i | ||||
\(306\) | 5.90350 | − | 2.43765i | 0.337481 | − | 0.139351i | ||||
\(307\) | 1.24426 | − | 0.568233i | 0.0710135 | − | 0.0324308i | −0.379592 | − | 0.925154i | \(-0.623936\pi\) |
0.450605 | + | 0.892723i | \(0.351208\pi\) | |||||||
\(308\) | 1.49381 | + | 1.72395i | 0.0851179 | + | 0.0982313i | ||||
\(309\) | 0.933241 | + | 7.46347i | 0.0530902 | + | 0.424582i | ||||
\(310\) | −0.400078 | + | 13.4821i | −0.0227229 | + | 0.765730i | ||||
\(311\) | 29.0889 | + | 4.18235i | 1.64948 | + | 0.237159i | 0.903431 | − | 0.428733i | \(-0.141040\pi\) |
0.746048 | + | 0.665892i | \(0.231949\pi\) | |||||||
\(312\) | −10.5337 | + | 1.31715i | −0.596356 | + | 0.0745691i | ||||
\(313\) | 17.6780 | + | 20.4015i | 0.999221 | + | 1.15316i | 0.988192 | + | 0.153224i | \(0.0489654\pi\) |
0.0110296 | + | 0.999939i | \(0.496489\pi\) | |||||||
\(314\) | −4.29601 | − | 9.40696i | −0.242438 | − | 0.530865i | ||||
\(315\) | 6.42244 | + | 11.6253i | 0.361863 | + | 0.655012i | ||||
\(316\) | −3.30177 | + | 11.2448i | −0.185739 | + | 0.632568i | ||||
\(317\) | −20.8969 | + | 24.1163i | −1.17369 | + | 1.35451i | −0.251454 | + | 0.967869i | \(0.580909\pi\) |
−0.922232 | + | 0.386637i | \(0.873637\pi\) | |||||||
\(318\) | −4.31505 | + | 6.45020i | −0.241976 | + | 0.361709i | ||||
\(319\) | 2.71822 | + | 1.24137i | 0.152191 | + | 0.0695035i | ||||
\(320\) | 0.566057 | + | 2.16323i | 0.0316435 | + | 0.120928i | ||||
\(321\) | −0.385801 | + | 0.322061i | −0.0215333 | + | 0.0179757i | ||||
\(322\) | −7.55248 | − | 5.75481i | −0.420883 | − | 0.320703i | ||||
\(323\) | 2.19270 | 0.122005 | ||||||||
\(324\) | −1.93258 | + | 8.79006i | −0.107365 | + | 0.488337i | ||||
\(325\) | −30.0212 | − | 6.15226i | −1.66528 | − | 0.341266i | ||||
\(326\) | 0.384884 | + | 1.31079i | 0.0213168 | + | 0.0725982i | ||||
\(327\) | 0.113328 | − | 6.15707i | 0.00626705 | − | 0.340487i | ||||
\(328\) | 0.874470 | − | 2.97817i | 0.0482845 | − | 0.164442i | ||||
\(329\) | 7.57919 | − | 4.87085i | 0.417854 | − | 0.268539i | ||||
\(330\) | −1.46145 | + | 4.21616i | −0.0804500 | + | 0.232092i | ||||
\(331\) | 18.5223 | + | 21.3759i | 1.01808 | + | 1.17492i | 0.984481 | + | 0.175489i | \(0.0561505\pi\) |
0.0335961 | + | 0.999435i | \(0.489304\pi\) | |||||||
\(332\) | −9.07645 | + | 14.1232i | −0.498135 | + | 0.775113i | ||||
\(333\) | −24.1720 | − | 8.07499i | −1.32462 | − | 0.442507i | ||||
\(334\) | 2.62855 | − | 18.2819i | 0.143828 | − | 1.00034i | ||||
\(335\) | −12.4680 | − | 6.14726i | −0.681202 | − | 0.335860i | ||||
\(336\) | 0.550416 | − | 3.38478i | 0.0300276 | − | 0.184655i | ||||
\(337\) | −11.0477 | − | 24.1911i | −0.601806 | − | 1.31777i | −0.928039 | − | 0.372482i | \(-0.878507\pi\) |
0.326233 | − | 0.945289i | \(-0.394221\pi\) | |||||||
\(338\) | −20.6653 | + | 13.2808i | −1.12405 | + | 0.722380i | ||||
\(339\) | −23.7373 | + | 10.3168i | −1.28924 | + | 0.560334i | ||||
\(340\) | −3.92674 | − | 2.69142i | −0.212957 | − | 0.145963i | ||||
\(341\) | 6.66828 | − | 1.95798i | 0.361108 | − | 0.106031i | ||||
\(342\) | −1.76498 | + | 2.53604i | −0.0954390 | + | 0.137134i | ||||
\(343\) | −2.84022 | − | 19.7542i | −0.153358 | − | 1.06663i | ||||
\(344\) | 12.2460 | 0.660259 | ||||||||
\(345\) | 2.37089 | − | 18.4222i | 0.127644 | − | 0.991820i | ||||
\(346\) | 15.2543 | 0.820078 | ||||||||
\(347\) | −0.146080 | − | 1.01601i | −0.00784198 | − | 0.0545422i | 0.985525 | − | 0.169532i | \(-0.0542256\pi\) |
−0.993367 | + | 0.114990i | \(0.963316\pi\) | |||||||
\(348\) | −1.18609 | − | 4.33291i | −0.0635813 | − | 0.232268i | ||||
\(349\) | 5.52791 | − | 1.62314i | 0.295902 | − | 0.0868848i | −0.130412 | − | 0.991460i | \(-0.541630\pi\) |
0.426314 | + | 0.904575i | \(0.359812\pi\) | |||||||
\(350\) | 4.63907 | − | 8.74509i | 0.247969 | − | 0.467445i | ||||
\(351\) | 7.27248 | + | 31.0059i | 0.388176 | + | 1.65497i | ||||
\(352\) | 0.969252 | − | 0.622900i | 0.0516613 | − | 0.0332007i | ||||
\(353\) | −2.96526 | − | 6.49302i | −0.157825 | − | 0.345589i | 0.814157 | − | 0.580645i | \(-0.197200\pi\) |
−0.971982 | + | 0.235057i | \(0.924472\pi\) | |||||||
\(354\) | −9.82875 | − | 1.59830i | −0.522392 | − | 0.0849487i | ||||
\(355\) | −12.3568 | + | 25.0624i | −0.655830 | + | 1.33017i | ||||
\(356\) | −1.50017 | + | 10.4339i | −0.0795086 | + | 0.552995i | ||||
\(357\) | 3.83343 | + | 6.21345i | 0.202887 | + | 0.328850i | ||||
\(358\) | −4.37445 | + | 6.80677i | −0.231197 | + | 0.359749i | ||||
\(359\) | −7.81698 | − | 9.02128i | −0.412565 | − | 0.476125i | 0.510993 | − | 0.859585i | \(-0.329278\pi\) |
−0.923557 | + | 0.383460i | \(0.874732\pi\) | |||||||
\(360\) | 6.27363 | − | 2.37521i | 0.330649 | − | 0.125184i | ||||
\(361\) | 15.0915 | − | 9.69870i | 0.794288 | − | 0.510458i | ||||
\(362\) | −1.27443 | + | 4.34030i | −0.0669824 | + | 0.228121i | ||||
\(363\) | −16.7505 | − | 0.308312i | −0.879173 | − | 0.0161822i | ||||
\(364\) | −3.41874 | − | 11.6432i | −0.179191 | − | 0.610267i | ||||
\(365\) | 5.75634 | + | 1.87739i | 0.301301 | + | 0.0982672i | ||||
\(366\) | −14.0562 | − | 12.6401i | −0.734728 | − | 0.660707i | ||||
\(367\) | −4.14223 | −0.216223 | −0.108111 | − | 0.994139i | \(-0.534480\pi\) | ||||
−0.108111 | + | 0.994139i | \(0.534480\pi\) | |||||||
\(368\) | −3.41995 | + | 3.36214i | −0.178277 | + | 0.175264i | ||||
\(369\) | −9.16191 | − | 1.66348i | −0.476950 | − | 0.0865972i | ||||
\(370\) | 4.80868 | + | 18.3768i | 0.249991 | + | 0.955363i | ||||
\(371\) | −8.06919 | − | 3.68508i | −0.418932 | − | 0.191320i | ||||
\(372\) | −8.68378 | − | 5.80928i | −0.450233 | − | 0.301197i | ||||
\(373\) | 5.39452 | − | 6.22560i | 0.279317 | − | 0.322349i | −0.598704 | − | 0.800970i | \(-0.704318\pi\) |
0.878022 | + | 0.478621i | \(0.158863\pi\) | |||||||
\(374\) | −0.691068 | + | 2.35356i | −0.0357343 | + | 0.121700i | ||||
\(375\) | 19.3528 | − | 0.685323i | 0.999374 | − | 0.0353899i | ||||
\(376\) | −1.89034 | − | 4.13927i | −0.0974869 | − | 0.213467i | ||||
\(377\) | −10.4100 | − | 12.0138i | −0.536141 | − | 0.618740i | ||||
\(378\) | −10.2721 | − | 0.567720i | −0.528337 | − | 0.0292004i | ||||
\(379\) | 23.4155 | + | 3.36665i | 1.20278 | + | 0.172933i | 0.714423 | − | 0.699714i | \(-0.246689\pi\) |
0.488352 | + | 0.872647i | \(0.337598\pi\) | |||||||
\(380\) | 2.30196 | + | 0.0683103i | 0.118088 | + | 0.00350424i | ||||
\(381\) | −5.16238 | + | 0.645511i | −0.264477 | + | 0.0330705i | ||||
\(382\) | −8.71049 | − | 10.0524i | −0.445667 | − | 0.514327i | ||||
\(383\) | 15.0234 | − | 6.86094i | 0.767658 | − | 0.350577i | 0.00720760 | − | 0.999974i | \(-0.497706\pi\) |
0.760450 | + | 0.649397i | \(0.224978\pi\) | |||||||
\(384\) | −1.65263 | − | 0.518476i | −0.0843354 | − | 0.0264584i | ||||
\(385\) | −5.02506 | − | 0.875347i | −0.256101 | − | 0.0446118i | ||||
\(386\) | 4.29782 | + | 3.72408i | 0.218753 | + | 0.189551i | ||||
\(387\) | −3.88662 | − | 36.5318i | −0.197568 | − | 1.85701i | ||||
\(388\) | 2.53994 | − | 5.56169i | 0.128946 | − | 0.282352i | ||||
\(389\) | −2.99371 | − | 20.8217i | −0.151787 | − | 1.05570i | −0.913222 | − | 0.407462i | \(-0.866414\pi\) |
0.761435 | − | 0.648242i | \(-0.224495\pi\) | |||||||
\(390\) | 16.3889 | − | 17.1720i | 0.829884 | − | 0.869538i | ||||
\(391\) | 0.815172 | − | 10.1777i | 0.0412250 | − | 0.514708i | ||||
\(392\) | −3.08010 | −0.155568 | ||||||||
\(393\) | −15.5527 | − | 13.9859i | −0.784532 | − | 0.705493i | ||||
\(394\) | 5.15954 | − | 11.2978i | 0.259934 | − | 0.569176i | ||||
\(395\) | −10.1744 | − | 24.1499i | −0.511927 | − | 1.21511i | ||||
\(396\) | −2.16583 | − | 2.69374i | −0.108837 | − | 0.135366i | ||||
\(397\) | −10.5958 | + | 36.0860i | −0.531788 | + | 1.81110i | 0.0512841 | + | 0.998684i | \(0.483669\pi\) |
−0.583072 | + | 0.812420i | \(0.698150\pi\) | |||||||
\(398\) | 5.92265 | + | 9.21582i | 0.296875 | + | 0.461947i | ||||
\(399\) | −3.18514 | − | 1.52606i | −0.159457 | − | 0.0763986i | ||||
\(400\) | −4.03857 | − | 2.94787i | −0.201929 | − | 0.147393i | ||||
\(401\) | 12.7468 | + | 8.19188i | 0.636545 | + | 0.409083i | 0.818728 | − | 0.574182i | \(-0.194680\pi\) |
−0.182182 | + | 0.983265i | \(0.558316\pi\) | |||||||
\(402\) | 9.16401 | − | 5.65380i | 0.457059 | − | 0.281986i | ||||
\(403\) | −36.5941 | − | 5.26143i | −1.82288 | − | 0.262091i | ||||
\(404\) | 1.57167 | − | 2.44556i | 0.0781933 | − | 0.121671i | ||||
\(405\) | −9.07675 | − | 17.9614i | −0.451027 | − | 0.892510i | ||||
\(406\) | 4.67104 | − | 2.13319i | 0.231820 | − | 0.105868i | ||||
\(407\) | 8.23384 | − | 5.29157i | 0.408136 | − | 0.262293i | ||||
\(408\) | 3.38191 | − | 1.46986i | 0.167429 | − | 0.0727691i | ||||
\(409\) | 13.3214 | − | 15.3738i | 0.658703 | − | 0.760184i | −0.323862 | − | 0.946104i | \(-0.604981\pi\) |
0.982565 | + | 0.185920i | \(0.0595266\pi\) | |||||||
\(410\) | 2.69467 | + | 6.39607i | 0.133080 | + | 0.315880i | ||||
\(411\) | 0.192448 | + | 0.703028i | 0.00949274 | + | 0.0346778i | ||||
\(412\) | 0.618015 | + | 4.29839i | 0.0304474 | + | 0.211766i | ||||
\(413\) | − | 11.3826i | − | 0.560103i | ||||||
\(414\) | 11.1152 | + | 9.13519i | 0.546284 | + | 0.448970i | ||||
\(415\) | −4.23796 | − | 37.2998i | −0.208033 | − | 1.83098i | ||||
\(416\) | −6.06664 | + | 0.872251i | −0.297441 | + | 0.0427656i | ||||
\(417\) | −31.1713 | + | 8.53286i | −1.52646 | + | 0.417856i | ||||
\(418\) | −0.334312 | − | 1.13856i | −0.0163517 | − | 0.0556888i | ||||
\(419\) | −17.2325 | + | 19.8874i | −0.841862 | + | 0.971561i | −0.999874 | − | 0.0158763i | \(-0.994946\pi\) |
0.158012 | + | 0.987437i | \(0.449492\pi\) | |||||||
\(420\) | 3.83089 | + | 6.64250i | 0.186928 | + | 0.324121i | ||||
\(421\) | 6.47964 | + | 10.0825i | 0.315798 | + | 0.491392i | 0.962474 | − | 0.271373i | \(-0.0874778\pi\) |
−0.646676 | + | 0.762765i | \(0.723841\pi\) | |||||||
\(422\) | −3.87414 | − | 8.48319i | −0.188590 | − | 0.412955i | ||||
\(423\) | −11.7482 | + | 6.95292i | −0.571216 | + | 0.338063i | ||||
\(424\) | −2.42234 | + | 3.76924i | −0.117639 | + | 0.183050i | ||||
\(425\) | 10.6079 | − | 0.887476i | 0.514559 | − | 0.0430489i | ||||
\(426\) | −11.3649 | − | 18.4208i | −0.550629 | − | 0.892492i | ||||
\(427\) | 11.6824 | − | 18.1781i | 0.565350 | − | 0.879701i | ||||
\(428\) | −0.219283 | + | 0.190010i | −0.0105994 | + | 0.00918446i | ||||
\(429\) | −11.0303 | − | 5.28482i | −0.532548 | − | 0.255154i | ||||
\(430\) | −21.2174 | + | 17.3102i | −1.02319 | + | 0.834773i | ||||
\(431\) | 3.32098 | + | 0.975128i | 0.159966 | + | 0.0469703i | 0.360735 | − | 0.932668i | \(-0.382526\pi\) |
−0.200769 | + | 0.979639i | \(0.564344\pi\) | |||||||
\(432\) | −1.02219 | + | 5.09462i | −0.0491801 | + | 0.245115i | ||||
\(433\) | 13.1501 | − | 3.86122i | 0.631954 | − | 0.185558i | 0.0499597 | − | 0.998751i | \(-0.484091\pi\) |
0.581994 | + | 0.813193i | \(0.302273\pi\) | |||||||
\(434\) | 4.96115 | − | 10.8634i | 0.238143 | − | 0.521460i | ||||
\(435\) | 8.17978 | + | 5.83059i | 0.392190 | + | 0.279556i | ||||
\(436\) | − | 3.55539i | − | 0.170272i | ||||||
\(437\) | 2.33013 | + | 4.35517i | 0.111465 | + | 0.208336i | ||||
\(438\) | −3.60038 | + | 3.00555i | −0.172033 | + | 0.143611i | ||||
\(439\) | −1.33038 | − | 9.25303i | −0.0634958 | − | 0.441623i | −0.996626 | − | 0.0820829i | \(-0.973843\pi\) |
0.933130 | − | 0.359540i | \(-0.117066\pi\) | |||||||
\(440\) | −0.798827 | + | 2.44932i | −0.0380826 | + | 0.116767i | ||||
\(441\) | 0.977560 | + | 9.18844i | 0.0465505 | + | 0.437545i | ||||
\(442\) | 8.54504 | − | 9.86150i | 0.406446 | − | 0.469064i | ||||
\(443\) | 3.52398 | + | 1.03473i | 0.167429 | + | 0.0491616i | 0.364373 | − | 0.931253i | \(-0.381283\pi\) |
−0.196944 | + | 0.980415i | \(0.563102\pi\) | |||||||
\(444\) | −14.0392 | − | 4.40448i | −0.666269 | − | 0.209027i | ||||
\(445\) | −12.1496 | − | 20.1983i | −0.575944 | − | 0.957490i | ||||
\(446\) | −21.0312 | + | 18.2236i | −0.995854 | + | 0.862912i | ||||
\(447\) | −2.08429 | − | 16.6688i | −0.0985837 | − | 0.788409i | ||||
\(448\) | 0.281766 | − | 1.95972i | 0.0133122 | − | 0.0925882i | ||||
\(449\) | 35.6201 | + | 5.12139i | 1.68101 | + | 0.241693i | 0.915671 | − | 0.401929i | \(-0.131660\pi\) |
0.765343 | + | 0.643622i | \(0.222569\pi\) | |||||||
\(450\) | −7.51222 | + | 12.9833i | −0.354129 | + | 0.612040i | ||||
\(451\) | 2.70269 | − | 2.34189i | 0.127264 | − | 0.110275i | ||||
\(452\) | −13.5928 | + | 6.20764i | −0.639353 | + | 0.291983i | ||||
\(453\) | 3.65419 | + | 1.14642i | 0.171689 | + | 0.0538637i | ||||
\(454\) | −5.03141 | + | 17.1354i | −0.236136 | + | 0.804204i | ||||
\(455\) | 22.3814 | + | 15.3404i | 1.04926 | + | 0.719168i | ||||
\(456\) | −0.991891 | + | 1.48269i | −0.0464496 | + | 0.0694334i | ||||
\(457\) | 2.16833 | − | 4.74797i | 0.101430 | − | 0.222101i | −0.852113 | − | 0.523358i | \(-0.824679\pi\) |
0.953543 | + | 0.301257i | \(0.0974063\pi\) | |||||||
\(458\) | −16.0127 | + | 2.30228i | −0.748224 | + | 0.107578i | ||||
\(459\) | −5.45819 | − | 9.62229i | −0.254767 | − | 0.449130i | ||||
\(460\) | 1.17287 | − | 10.6595i | 0.0546851 | − | 0.497001i | ||||
\(461\) | − | 2.28622i | − | 0.106480i | −0.998582 | − | 0.0532399i | \(-0.983045\pi\) | ||
0.998582 | − | 0.0532399i | \(-0.0169548\pi\) | |||||||
\(462\) | 2.64187 | − | 2.93785i | 0.122911 | − | 0.136681i | ||||
\(463\) | 19.4958 | + | 8.90345i | 0.906049 | + | 0.413778i | 0.813255 | − | 0.581907i | \(-0.197693\pi\) |
0.0927931 | + | 0.995685i | \(0.470420\pi\) | |||||||
\(464\) | −0.730713 | − | 2.48858i | −0.0339225 | − | 0.115529i | ||||
\(465\) | 23.2572 | − | 2.20975i | 1.07852 | − | 0.102475i | ||||
\(466\) | −17.9840 | − | 5.28057i | −0.833092 | − | 0.244618i | ||||
\(467\) | −5.61927 | − | 8.74376i | −0.260029 | − | 0.404613i | 0.686551 | − | 0.727081i | \(-0.259124\pi\) |
−0.946580 | + | 0.322468i | \(0.895487\pi\) | |||||||
\(468\) | 4.52749 | + | 17.8209i | 0.209283 | + | 0.823773i | ||||
\(469\) | 8.06029 | + | 9.30208i | 0.372190 | + | 0.429530i | ||||
\(470\) | 9.12624 | + | 4.49961i | 0.420962 | + | 0.207552i | ||||
\(471\) | −15.2442 | + | 9.40501i | −0.702415 | + | 0.433360i | ||||
\(472\) | −5.69065 | − | 0.818192i | −0.261933 | − | 0.0376603i | ||||
\(473\) | 11.8694 | + | 7.62802i | 0.545757 | + | 0.350737i | ||||
\(474\) | 20.0356 | + | 3.25808i | 0.920265 | + | 0.149649i | ||||
\(475\) | −4.08494 | + | 3.13557i | −0.187430 | + | 0.143870i | ||||
\(476\) | 2.27887 | + | 3.54600i | 0.104452 | + | 0.162531i | ||||
\(477\) | 12.0131 | + | 6.02997i | 0.550040 | + | 0.276093i | ||||
\(478\) | 11.5926 | + | 10.0450i | 0.530231 | + | 0.459448i | ||||
\(479\) | 9.80548 | − | 2.87915i | 0.448024 | − | 0.131552i | −0.0499347 | − | 0.998752i | \(-0.515901\pi\) |
0.497959 | + | 0.867201i | \(0.334083\pi\) | |||||||
\(480\) | 3.59623 | − | 1.43775i | 0.164145 | − | 0.0656241i | ||||
\(481\) | −51.5364 | + | 7.40981i | −2.34986 | + | 0.337858i | ||||
\(482\) | 18.6543i | 0.849682i | ||||||||
\(483\) | −8.26754 | + | 14.2169i | −0.376186 | + | 0.646893i | ||||
\(484\) | −9.67255 | −0.439661 | ||||||||
\(485\) | 3.46100 | + | 13.2265i | 0.157156 | + | 0.600584i | ||||
\(486\) | 15.5225 | + | 1.43243i | 0.704115 | + | 0.0649765i | ||||
\(487\) | 4.51226 | + | 15.3673i | 0.204470 | + | 0.696360i | 0.996325 | + | 0.0856517i | \(0.0272972\pi\) |
−0.791855 | + | 0.610709i | \(0.790885\pi\) | |||||||
\(488\) | −8.24826 | − | 7.14716i | −0.373381 | − | 0.323537i | ||||
\(489\) | 2.17011 | − | 0.943183i | 0.0981356 | − | 0.0426522i | ||||
\(490\) | 5.33657 | − | 4.35385i | 0.241082 | − | 0.196687i | ||||
\(491\) | 29.6477 | − | 13.5396i | 1.33798 | − | 0.611035i | 0.387515 | − | 0.921863i | \(-0.373334\pi\) |
0.950466 | + | 0.310828i | \(0.100606\pi\) | |||||||
\(492\) | −5.30641 | − | 0.862901i | −0.239231 | − | 0.0389026i | ||||
\(493\) | 4.64527 | + | 2.98533i | 0.209212 | + | 0.134453i | ||||
\(494\) | −0.898351 | + | 6.24817i | −0.0404187 | + | 0.281118i | ||||
\(495\) | 7.56024 | + | 1.60567i | 0.339808 | + | 0.0721695i | ||||
\(496\) | −5.07446 | − | 3.26115i | −0.227850 | − | 0.146430i | ||||
\(497\) | 18.6984 | − | 16.2022i | 0.838737 | − | 0.726769i | ||||
\(498\) | 26.2237 | + | 12.5642i | 1.17511 | + | 0.563017i | ||||
\(499\) | 25.0161 | − | 16.0768i | 1.11987 | − | 0.719699i | 0.156450 | − | 0.987686i | \(-0.449995\pi\) |
0.963422 | + | 0.267987i | \(0.0863585\pi\) | |||||||
\(500\) | 11.1642 | − | 0.601228i | 0.499277 | − | 0.0268877i | ||||
\(501\) | −31.9855 | − | 0.588730i | −1.42900 | − | 0.0263025i | ||||
\(502\) | 2.75997 | − | 0.810401i | 0.123184 | − | 0.0361700i | ||||
\(503\) | −17.7920 | − | 8.12535i | −0.793308 | − | 0.362291i | −0.0228145 | − | 0.999740i | \(-0.507263\pi\) |
−0.770493 | + | 0.637448i | \(0.779990\pi\) | |||||||
\(504\) | −5.93560 | − | 0.218577i | −0.264393 | − | 0.00973621i | ||||
\(505\) | 0.733840 | + | 6.45879i | 0.0326554 | + | 0.287412i | ||||
\(506\) | −5.40907 | + | 1.12847i | −0.240462 | + | 0.0501667i | ||||
\(507\) | 27.2663 | + | 32.6627i | 1.21094 | + | 1.45060i | ||||
\(508\) | −2.97314 | + | 0.427473i | −0.131912 | + | 0.0189660i | ||||
\(509\) | 33.0632 | + | 15.0995i | 1.46550 | + | 0.669272i | 0.978898 | − | 0.204350i | \(-0.0655082\pi\) |
0.486604 | + | 0.873623i | \(0.338235\pi\) | |||||||
\(510\) | −3.78178 | + | 7.32716i | −0.167460 | + | 0.324452i | ||||
\(511\) | −4.05161 | − | 3.51074i | −0.179233 | − | 0.155306i | ||||
\(512\) | −0.959493 | − | 0.281733i | −0.0424040 | − | 0.0124509i | ||||
\(513\) | 4.73792 | + | 2.48840i | 0.209184 | + | 0.109866i | ||||
\(514\) | 3.30088 | + | 7.22792i | 0.145596 | + | 0.318810i | ||||
\(515\) | −7.14673 | − | 6.57379i | −0.314923 | − | 0.289676i | ||||
\(516\) | −2.63171 | − | 21.0468i | −0.115855 | − | 0.926532i | ||||
\(517\) | 0.746136 | − | 5.18949i | 0.0328150 | − | 0.228234i | ||||
\(518\) | 2.39361 | − | 16.6479i | 0.105169 | − | 0.731468i | ||||
\(519\) | −3.27822 | − | 26.2171i | −0.143898 | − | 1.15080i | ||||
\(520\) | 9.27808 | − | 10.0867i | 0.406871 | − | 0.442332i | ||||
\(521\) | −16.9256 | − | 37.0620i | −0.741526 | − | 1.62371i | −0.781029 | − | 0.624495i | \(-0.785305\pi\) |
0.0395030 | − | 0.999219i | \(-0.487423\pi\) | |||||||
\(522\) | −7.19193 | + | 2.96966i | −0.314782 | + | 0.129979i | ||||
\(523\) | 2.03180 | + | 0.596591i | 0.0888445 | + | 0.0260871i | 0.325853 | − | 0.945421i | \(-0.394349\pi\) |
−0.237008 | + | 0.971508i | \(0.576167\pi\) | |||||||
\(524\) | −9.12646 | − | 7.90813i | −0.398691 | − | 0.345468i | ||||
\(525\) | −16.0269 | − | 6.09366i | −0.699469 | − | 0.265949i | ||||
\(526\) | 16.3144 | + | 7.45056i | 0.711343 | + | 0.324860i | ||||
\(527\) | 12.7114 | − | 1.82762i | 0.553717 | − | 0.0796125i | ||||
\(528\) | −1.27885 | − | 1.53196i | −0.0556550 | − | 0.0666699i | ||||
\(529\) | 21.0814 | − | 9.19652i | 0.916581 | − | 0.399849i | ||||
\(530\) | −1.13104 | − | 9.95466i | −0.0491291 | − | 0.432403i | ||||
\(531\) | −0.634706 | + | 17.2358i | −0.0275439 | + | 0.747971i | ||||
\(532\) | −1.85485 | − | 0.847080i | −0.0804178 | − | 0.0367256i | ||||
\(533\) | −18.2533 | + | 5.35965i | −0.790637 | + | 0.232152i | ||||
\(534\) | 18.2548 | + | 0.336000i | 0.789961 | + | 0.0145401i | ||||
\(535\) | 0.111342 | − | 0.639176i | 0.00481374 | − | 0.0276340i | ||||
\(536\) | 5.22987 | − | 3.36104i | 0.225896 | − | 0.145175i | ||||
\(537\) | 12.6387 | + | 6.05541i | 0.545399 | + | 0.261310i | ||||
\(538\) | −20.2892 | + | 17.5807i | −0.874730 | + | 0.757958i | ||||
\(539\) | −2.98539 | − | 1.91859i | −0.128590 | − | 0.0826397i | ||||
\(540\) | −5.43042 | − | 10.2718i | −0.233688 | − | 0.442029i | ||||
\(541\) | 6.16013 | − | 42.8446i | 0.264845 | − | 1.84204i | −0.230170 | − | 0.973150i | \(-0.573928\pi\) |
0.495015 | − | 0.868885i | \(-0.335163\pi\) | |||||||
\(542\) | 27.1922 | + | 17.4753i | 1.16800 | + | 0.750631i | ||||
\(543\) | 7.73341 | + | 1.25757i | 0.331872 | + | 0.0539674i | ||||
\(544\) | 1.93660 | − | 0.884415i | 0.0830310 | − | 0.0379190i | ||||
\(545\) | 5.02569 | + | 6.16006i | 0.215277 | + | 0.263868i | ||||
\(546\) | −19.2760 | + | 8.37784i | −0.824937 | + | 0.358538i | ||||
\(547\) | 0.847136 | + | 0.734048i | 0.0362209 | + | 0.0313856i | 0.672783 | − | 0.739840i | \(-0.265099\pi\) |
−0.636562 | + | 0.771225i | \(0.719644\pi\) | |||||||
\(548\) | 0.118561 | + | 0.403780i | 0.00506466 | + | 0.0172486i | ||||
\(549\) | −18.7033 | + | 26.8743i | −0.798238 | + | 1.14697i | ||||
\(550\) | −2.07817 | − | 5.37286i | −0.0886133 | − | 0.229099i | ||||
\(551\) | −2.67125 | −0.113799 | ||||||||
\(552\) | 6.51336 | + | 5.15521i | 0.277227 | + | 0.219420i | ||||
\(553\) | 23.2031i | 0.986698i | ||||||||
\(554\) | 6.59091 | − | 0.947629i | 0.280021 | − | 0.0402609i | ||||
\(555\) | 30.5501 | − | 12.2138i | 1.29678 | − | 0.518445i | ||||
\(556\) | −17.9030 | + | 5.25681i | −0.759258 | + | 0.222938i | ||||
\(557\) | 20.7887 | + | 18.0135i | 0.880845 | + | 0.763257i | 0.972590 | − | 0.232526i | \(-0.0746991\pi\) |
−0.0917452 | + | 0.995783i | \(0.529245\pi\) | |||||||
\(558\) | −8.11803 | + | 16.1730i | −0.343664 | + | 0.684656i | ||||
\(559\) | −40.5783 | − | 63.1410i | −1.71628 | − | 2.67058i | ||||
\(560\) | 2.28197 | + | 3.79370i | 0.0964306 | + | 0.160313i | ||||
\(561\) | 4.19350 | + | 0.681925i | 0.177050 | + | 0.0287909i | ||||
\(562\) | −7.16107 | − | 4.60214i | −0.302072 | − | 0.194130i | ||||
\(563\) | 0.968031 | + | 0.139182i | 0.0407976 | + | 0.00586582i | 0.162683 | − | 0.986678i | \(-0.447985\pi\) |
−0.121886 | + | 0.992544i | \(0.538894\pi\) | |||||||
\(564\) | −6.70779 | + | 4.13841i | −0.282449 | + | 0.174259i | ||||
\(565\) | 14.7761 | − | 29.9694i | 0.621637 | − | 1.26082i | ||||
\(566\) | −5.22669 | − | 6.03192i | −0.219694 | − | 0.253541i | ||||
\(567\) | 1.23179 | + | 17.7762i | 0.0517301 | + | 0.746532i | ||||
\(568\) | −6.75612 | − | 10.5127i | −0.283480 | − | 0.441104i | ||||
\(569\) | −21.2268 | − | 6.23274i | −0.889872 | − | 0.261290i | −0.195326 | − | 0.980738i | \(-0.562577\pi\) |
−0.694546 | + | 0.719448i | \(0.744395\pi\) | |||||||
\(570\) | −0.377299 | − | 3.97099i | −0.0158033 | − | 0.166326i | ||||
\(571\) | 8.83153 | + | 30.0774i | 0.369588 | + | 1.25870i | 0.909048 | + | 0.416691i | \(0.136810\pi\) |
−0.539460 | + | 0.842011i | \(0.681372\pi\) | |||||||
\(572\) | −6.42343 | − | 2.93348i | −0.268577 | − | 0.122655i | ||||
\(573\) | −15.4049 | + | 17.1307i | −0.643548 | + | 0.715647i | ||||
\(574\) | − | 6.14533i | − | 0.256501i | ||||||
\(575\) | 13.0355 | + | 20.1265i | 0.543619 | + | 0.839332i | ||||
\(576\) | −0.535931 | + | 2.95174i | −0.0223305 | + | 0.122989i | ||||
\(577\) | 15.0185 | − | 2.15933i | 0.625227 | − | 0.0898941i | 0.177583 | − | 0.984106i | \(-0.443172\pi\) |
0.447644 | + | 0.894212i | \(0.352263\pi\) | |||||||
\(578\) | 5.17914 | − | 11.3407i | 0.215424 | − | 0.471713i | ||||
\(579\) | 5.47683 | − | 8.18684i | 0.227609 | − | 0.340233i | ||||
\(580\) | 4.78375 | + | 3.27881i | 0.198634 | + | 0.136145i | ||||
\(581\) | −9.36444 | + | 31.8923i | −0.388502 | + | 1.32312i | ||||
\(582\) | −10.1045 | − | 3.17008i | −0.418847 | − | 0.131404i | ||||
\(583\) | −4.69572 | + | 2.14446i | −0.194477 | + | 0.0888146i | ||||
\(584\) | −2.04640 | + | 1.77321i | −0.0846805 | + | 0.0733761i | ||||
\(585\) | −33.0350 | − | 24.4767i | −1.36583 | − | 1.01199i | ||||
\(586\) | 21.6000 | + | 3.10562i | 0.892289 | + | 0.128292i | ||||
\(587\) | −1.03759 | + | 7.21660i | −0.0428259 | + | 0.297861i | 0.957140 | + | 0.289625i | \(0.0935306\pi\) |
−0.999966 | + | 0.00823577i | \(0.997378\pi\) | |||||||
\(588\) | 0.661926 | + | 5.29366i | 0.0272974 | + | 0.218307i | ||||
\(589\) | −4.69510 | + | 4.06833i | −0.193458 | + | 0.167633i | ||||
\(590\) | 11.0162 | − | 6.62638i | 0.453528 | − | 0.272804i | ||||
\(591\) | −20.5260 | − | 6.43958i | −0.844326 | − | 0.264889i | ||||
\(592\) | −8.15094 | − | 2.39333i | −0.335001 | − | 0.0983653i | ||||
\(593\) | 8.56362 | − | 9.88294i | 0.351666 | − | 0.405844i | −0.552165 | − | 0.833735i | \(-0.686198\pi\) |
0.903830 | + | 0.427891i | \(0.140743\pi\) | |||||||
\(594\) | −4.16420 | + | 4.30125i | −0.170859 | + | 0.176482i | ||||
\(595\) | −8.96079 | − | 2.92250i | −0.367357 | − | 0.119811i | ||||
\(596\) | −1.38027 | − | 9.59999i | −0.0565380 | − | 0.393231i | ||||
\(597\) | 14.5661 | − | 12.1596i | 0.596152 | − | 0.497658i | ||||
\(598\) | 28.6677 | + | 6.49268i | 1.17231 | + | 0.265505i | ||||
\(599\) | 20.7817i | 0.849116i | 0.905401 | + | 0.424558i | \(0.139571\pi\) | ||||
−0.905401 | + | 0.424558i | \(0.860429\pi\) | |||||||
\(600\) | −4.19850 | + | 7.57447i | −0.171403 | + | 0.309227i | ||||
\(601\) | 3.38787 | − | 7.41840i | 0.138194 | − | 0.302603i | −0.827864 | − | 0.560929i | \(-0.810444\pi\) |
0.966058 | + | 0.258327i | \(0.0831711\pi\) | |||||||
\(602\) | 23.2634 | − | 6.83074i | 0.948145 | − | 0.278400i | ||||
\(603\) | −11.6864 | − | 14.5349i | −0.475906 | − | 0.591905i | ||||
\(604\) | 2.12157 | + | 0.622950i | 0.0863256 | + | 0.0253475i | ||||
\(605\) | 16.7586 | − | 13.6726i | 0.681335 | − | 0.555869i | ||||
\(606\) | −4.54086 | − | 2.17561i | −0.184460 | − | 0.0883781i | ||||
\(607\) | 4.70583 | − | 4.07763i | 0.191004 | − | 0.165506i | −0.554109 | − | 0.832444i | \(-0.686941\pi\) |
0.745113 | + | 0.666938i | \(0.232396\pi\) | |||||||
\(608\) | −0.556818 | + | 0.866426i | −0.0225820 | + | 0.0351382i | ||||
\(609\) | −4.67007 | − | 7.56952i | −0.189241 | − | 0.306733i | ||||
\(610\) | 24.3937 | + | 0.723879i | 0.987674 | + | 0.0293090i | ||||
\(611\) | −15.0785 | + | 23.4626i | −0.610011 | + | 0.949195i | ||||
\(612\) | −3.25299 | − | 5.49650i | −0.131494 | − | 0.222183i | ||||
\(613\) | 16.7844 | + | 36.7527i | 0.677916 | + | 1.48443i | 0.864837 | + | 0.502053i | \(0.167422\pi\) |
−0.186921 | + | 0.982375i | \(0.559851\pi\) | |||||||
\(614\) | −0.739526 | − | 1.15072i | −0.0298448 | − | 0.0464395i | ||||
\(615\) | 10.4136 | − | 6.00578i | 0.419918 | − | 0.242176i | ||||
\(616\) | 1.49381 | − | 1.72395i | 0.0601875 | − | 0.0694600i | ||||
\(617\) | −10.4759 | − | 35.6777i | −0.421745 | − | 1.43633i | −0.847163 | − | 0.531333i | \(-0.821691\pi\) |
0.425418 | − | 0.904997i | \(-0.360127\pi\) | |||||||
\(618\) | 7.25469 | − | 1.98590i | 0.291826 | − | 0.0798848i | ||||
\(619\) | −23.6819 | + | 3.40494i | −0.951856 | + | 0.136856i | −0.600712 | − | 0.799465i | \(-0.705116\pi\) |
−0.351144 | + | 0.936322i | \(0.614207\pi\) | |||||||
\(620\) | 13.4018 | − | 1.52269i | 0.538228 | − | 0.0611528i | ||||
\(621\) | 13.3116 | − | 21.0666i | 0.534178 | − | 0.845372i | ||||
\(622\) | − | 29.3880i | − | 1.17835i | ||||||
\(623\) | 2.97014 | + | 20.6578i | 0.118996 | + | 0.827636i | ||||
\(624\) | 2.80285 | + | 10.2391i | 0.112204 | + | 0.409891i | ||||
\(625\) | −18.4931 | + | 16.8227i | −0.739726 | + | 0.672908i | ||||
\(626\) | 17.6780 | − | 20.4015i | 0.706556 | − | 0.815409i | ||||
\(627\) | −1.88496 | + | 0.819252i | −0.0752781 | + | 0.0327178i | ||||
\(628\) | −8.69982 | + | 5.59104i | −0.347161 | + | 0.223107i | ||||
\(629\) | 16.4515 | − | 7.51315i | 0.655964 | − | 0.299569i | ||||
\(630\) | 10.5930 | − | 8.01152i | 0.422034 | − | 0.319187i | ||||
\(631\) | −4.41336 | + | 6.86732i | −0.175693 | + | 0.273384i | −0.917921 | − | 0.396764i | \(-0.870133\pi\) |
0.742227 | + | 0.670148i | \(0.233769\pi\) | |||||||
\(632\) | 11.6002 | + | 1.66786i | 0.461432 | + | 0.0663439i | ||||
\(633\) | −13.7472 | + | 8.48144i | −0.546403 | + | 0.337107i | ||||
\(634\) | 26.8448 | + | 17.2521i | 1.06614 | + | 0.685168i | ||||
\(635\) | 4.54701 | − | 4.94330i | 0.180442 | − | 0.196169i | ||||
\(636\) | 6.99864 | + | 3.35318i | 0.277514 | + | 0.132962i | ||||
\(637\) | 10.2062 | + | 15.8812i | 0.404385 | + | 0.629235i | ||||
\(638\) | 0.841892 | − | 2.86722i | 0.0333308 | − | 0.113514i | ||||
\(639\) | −29.2169 | + | 23.4911i | −1.15580 | + | 0.929295i | ||||
\(640\) | 2.06066 | − | 0.868156i | 0.0814546 | − | 0.0343169i | ||||
\(641\) | −6.95608 | + | 15.2317i | −0.274748 | + | 0.601615i | −0.995829 | − | 0.0912357i | \(-0.970918\pi\) |
0.721081 | + | 0.692851i | \(0.243646\pi\) | |||||||
\(642\) | 0.373688 | + | 0.336040i | 0.0147483 | + | 0.0132625i | ||||
\(643\) | −37.2181 | −1.46774 | −0.733869 | − | 0.679291i | \(-0.762287\pi\) | ||||
−0.733869 | + | 0.679291i | \(0.762287\pi\) | |||||||
\(644\) | −4.62140 | + | 8.29460i | −0.182109 | + | 0.326853i | ||||
\(645\) | 34.3102 | + | 32.7455i | 1.35096 | + | 1.28935i | ||||
\(646\) | −0.312053 | − | 2.17038i | −0.0122776 | − | 0.0853924i | ||||
\(647\) | −8.96178 | + | 19.6236i | −0.352324 | + | 0.771482i | 0.647631 | + | 0.761954i | \(0.275760\pi\) |
−0.999955 | + | 0.00952755i | \(0.996967\pi\) | |||||||
\(648\) | 8.97562 | + | 0.661949i | 0.352596 | + | 0.0260038i | ||||
\(649\) | −5.00602 | − | 4.33774i | −0.196504 | − | 0.170271i | ||||
\(650\) | −1.81717 | + | 30.5912i | −0.0712755 | + | 1.19989i | ||||
\(651\) | −19.7367 | − | 6.19197i | −0.773544 | − | 0.242683i | ||||
\(652\) | 1.24268 | − | 0.567512i | 0.0486670 | − | 0.0222255i | ||||
\(653\) | −8.12232 | − | 9.37366i | −0.317851 | − | 0.366820i | 0.574231 | − | 0.818693i | \(-0.305301\pi\) |
−0.892082 | + | 0.451874i | \(0.850756\pi\) | |||||||
\(654\) | −6.11053 | + | 0.764068i | −0.238940 | + | 0.0298774i | ||||
\(655\) | 26.9910 | + | 0.800952i | 1.05462 | + | 0.0312958i | ||||
\(656\) | −3.07231 | − | 0.441731i | −0.119953 | − | 0.0172467i | ||||
\(657\) | 5.93927 | + | 5.54196i | 0.231713 | + | 0.216212i | ||||
\(658\) | −5.89990 | − | 6.80885i | −0.230002 | − | 0.265437i | ||||
\(659\) | −3.05395 | − | 6.68721i | −0.118965 | − | 0.260497i | 0.840776 | − | 0.541383i | \(-0.182099\pi\) |
−0.959741 | + | 0.280886i | \(0.909372\pi\) | |||||||
\(660\) | 4.38123 | + | 0.846550i | 0.170539 | + | 0.0329519i | ||||
\(661\) | −0.711805 | + | 2.42418i | −0.0276860 | + | 0.0942899i | −0.972177 | − | 0.234247i | \(-0.924737\pi\) |
0.944491 | + | 0.328537i | \(0.106556\pi\) | |||||||
\(662\) | 18.5223 | − | 21.3759i | 0.719890 | − | 0.830797i | ||||
\(663\) | −18.7850 | − | 12.5668i | −0.729549 | − | 0.488054i | ||||
\(664\) | 15.2712 | + | 6.97412i | 0.592637 | + | 0.270648i | ||||
\(665\) | 4.41109 | − | 1.15426i | 0.171055 | − | 0.0447601i | ||||
\(666\) | −4.55276 | + | 25.0752i | −0.176416 | + | 0.971644i | ||||
\(667\) | −0.993082 | + | 12.3990i | −0.0384523 | + | 0.480090i | ||||
\(668\) | −18.4699 | −0.714624 | ||||||||
\(669\) | 35.8400 | + | 32.2292i | 1.38565 | + | 1.24605i | ||||
\(670\) | −4.31030 | + | 13.2160i | −0.166521 | + | 0.510578i | ||||
\(671\) | −3.54267 | − | 12.0652i | −0.136763 | − | 0.465774i | ||||
\(672\) | −3.42866 | − | 0.0631085i | −0.132264 | − | 0.00243446i | ||||
\(673\) | −9.16093 | + | 31.1993i | −0.353128 | + | 1.20264i | 0.571125 | + | 0.820863i | \(0.306507\pi\) |
−0.924253 | + | 0.381780i | \(0.875311\pi\) | |||||||
\(674\) | −22.3726 | + | 14.3780i | −0.861760 | + | 0.553820i | ||||
\(675\) | 23.9284 | + | 10.1208i | 0.921005 | + | 0.389551i | ||||
\(676\) | 16.0866 | + | 18.5649i | 0.618715 | + | 0.714036i | ||||
\(677\) | 3.92374 | − | 6.10546i | 0.150802 | − | 0.234652i | −0.757631 | − | 0.652683i | \(-0.773643\pi\) |
0.908433 | + | 0.418031i | \(0.137280\pi\) | |||||||
\(678\) | 13.5900 | + | 22.0275i | 0.521921 | + | 0.845961i | ||||
\(679\) | 1.72278 | − | 11.9822i | 0.0661141 | − | 0.459834i | ||||
\(680\) | −2.10519 | + | 4.26980i | −0.0807303 | + | 0.163739i | ||||
\(681\) | 30.5313 | + | 4.96484i | 1.16996 | + | 0.190253i | ||||
\(682\) | −2.88705 | − | 6.32176i | −0.110551 | − | 0.242073i | ||||
\(683\) | 6.66796 | − | 4.28524i | 0.255142 | − | 0.163970i | −0.406817 | − | 0.913510i | \(-0.633361\pi\) |
0.661960 | + | 0.749540i | \(0.269725\pi\) | |||||||
\(684\) | 2.76141 | + | 1.38609i | 0.105585 | + | 0.0529986i | ||||
\(685\) | −0.776178 | − | 0.531998i | −0.0296563 | − | 0.0203266i | ||||
\(686\) | −19.1489 | + | 5.62263i | −0.731109 | + | 0.214673i | ||||
\(687\) | 7.39804 | + | 27.0257i | 0.282253 | + | 1.03110i | ||||
\(688\) | −1.74278 | − | 12.1213i | −0.0664430 | − | 0.462121i | ||||
\(689\) | 27.4611 | 1.04618 | ||||||||
\(690\) | −18.5721 | + | 0.275001i | −0.707029 | + | 0.0104691i | ||||
\(691\) | −20.3093 | −0.772602 | −0.386301 | − | 0.922373i | \(-0.626247\pi\) | ||||
−0.386301 | + | 0.922373i | \(0.626247\pi\) | |||||||
\(692\) | −2.17092 | − | 15.0991i | −0.0825259 | − | 0.573980i | ||||
\(693\) | −5.61694 | − | 3.90914i | −0.213370 | − | 0.148496i | ||||
\(694\) | −0.984877 | + | 0.289186i | −0.0373854 | + | 0.0109774i | ||||
\(695\) | 23.5880 | − | 34.4147i | 0.894746 | − | 1.30542i | ||||
\(696\) | −4.12001 | + | 1.79066i | −0.156168 | + | 0.0678747i | ||||
\(697\) | 5.55915 | − | 3.57265i | 0.210568 | − | 0.135324i | ||||
\(698\) | −2.39332 | − | 5.24065i | −0.0905887 | − | 0.198362i | ||||
\(699\) | −5.21071 | + | 32.0433i | −0.197087 | + | 1.21199i | ||||
\(700\) | −9.31629 | − | 3.34730i | −0.352122 | − | 0.126516i | ||||
\(701\) | 3.09661 | − | 21.5374i | 0.116957 | − | 0.813455i | −0.843918 | − | 0.536472i | \(-0.819757\pi\) |
0.960875 | − | 0.276982i | \(-0.0893344\pi\) | |||||||
\(702\) | 29.6553 | − | 11.6111i | 1.11927 | − | 0.438231i | ||||
\(703\) | −4.73020 | + | 7.36033i | −0.178403 | + | 0.277600i | ||||
\(704\) | −0.754499 | − | 0.870738i | −0.0284363 | − | 0.0328172i | ||||
\(705\) | 5.77207 | − | 16.6520i | 0.217389 | − | 0.627149i | ||||
\(706\) | −6.00493 | + | 3.85914i | −0.225999 | + | 0.145240i | ||||
\(707\) | 1.62153 | − | 5.52244i | 0.0609841 | − | 0.207693i | ||||
\(708\) | −0.183255 | + | 9.95617i | −0.00688714 | + | 0.374176i | ||||
\(709\) | 10.6966 | + | 36.4292i | 0.401719 | + | 1.36813i | 0.873677 | + | 0.486507i | \(0.161729\pi\) |
−0.471958 | + | 0.881621i | \(0.656453\pi\) | |||||||
\(710\) | 26.5658 | + | 8.66426i | 0.996997 | + | 0.325164i | ||||
\(711\) | 1.29383 | − | 35.1347i | 0.0485223 | − | 1.31765i | ||||
\(712\) | 10.5412 | 0.395047 | ||||||||
\(713\) | 17.1382 | + | 23.3054i | 0.641831 | + | 0.872795i | ||||
\(714\) | 5.60465 | − | 4.67868i | 0.209749 | − | 0.175095i | ||||
\(715\) | 15.2758 | − | 3.99725i | 0.571283 | − | 0.149489i | ||||
\(716\) | 7.36004 | + | 3.36122i | 0.275058 | + | 0.125615i | ||||
\(717\) | 14.7727 | − | 22.0825i | 0.551698 | − | 0.824685i | ||||
\(718\) | −7.81698 | + | 9.02128i | −0.291727 | + | 0.336671i | ||||
\(719\) | 7.20030 | − | 24.5220i | 0.268526 | − | 0.914515i | −0.709267 | − | 0.704940i | \(-0.750974\pi\) |
0.977793 | − | 0.209575i | \(-0.0672079\pi\) | |||||||
\(720\) | −3.24386 | − | 5.87174i | −0.120892 | − | 0.218827i | ||||
\(721\) | 3.57165 | + | 7.82082i | 0.133015 | + | 0.291263i | ||||
\(722\) | −11.7477 | − | 13.5576i | −0.437205 | − | 0.504561i | ||||
\(723\) | 32.0606 | − | 4.00890i | 1.19235 | − | 0.149093i | ||||
\(724\) | 4.47749 | + | 0.643766i | 0.166405 | + | 0.0239254i | ||||
\(725\) | −12.9231 | + | 1.08117i | −0.479950 | + | 0.0401535i | ||||
\(726\) | 2.07867 | + | 16.6239i | 0.0771467 | + | 0.616970i | ||||
\(727\) | −8.64617 | − | 9.97821i | −0.320669 | − | 0.370071i | 0.572413 | − | 0.819965i | \(-0.306007\pi\) |
−0.893082 | + | 0.449894i | \(0.851462\pi\) | |||||||
\(728\) | −11.0381 | + | 5.04093i | −0.409099 | + | 0.186829i | ||||
\(729\) | −0.873977 | − | 26.9859i | −0.0323695 | − | 0.999476i | ||||
\(730\) | 1.03907 | − | 5.96493i | 0.0384577 | − | 0.220772i | ||||
\(731\) | 19.7036 | + | 17.0733i | 0.728763 | + | 0.631477i | ||||
\(732\) | −10.5110 | + | 15.7120i | −0.388498 | + | 0.580731i | ||||
\(733\) | 13.7383 | − | 30.0827i | 0.507436 | − | 1.11113i | −0.466545 | − | 0.884497i | \(-0.654501\pi\) |
0.973981 | − | 0.226632i | \(-0.0727713\pi\) | |||||||
\(734\) | 0.589501 | + | 4.10007i | 0.0217589 | + | 0.151336i | ||||
\(735\) | −8.62967 | − | 8.23613i | −0.318310 | − | 0.303794i | ||||
\(736\) | 3.81462 | + | 2.90665i | 0.140609 | + | 0.107141i | ||||
\(737\) | 7.16266 | 0.263840 | ||||||||
\(738\) | −0.342669 | + | 9.30539i | −0.0126138 | + | 0.342536i | ||||
\(739\) | 7.44755 | − | 16.3079i | 0.273963 | − | 0.599894i | −0.721775 | − | 0.692128i | \(-0.756673\pi\) |
0.995737 | + | 0.0922336i | \(0.0294006\pi\) | |||||||
\(740\) | 17.5054 | − | 7.37502i | 0.643510 | − | 0.271111i | ||||
\(741\) | 10.9316 | + | 0.201208i | 0.401582 | + | 0.00739157i | ||||
\(742\) | −2.49920 | + | 8.51150i | −0.0917486 | + | 0.312467i | ||||
\(743\) | −20.5905 | − | 32.0395i | −0.755393 | − | 1.17541i | −0.979617 | − | 0.200877i | \(-0.935621\pi\) |
0.224223 | − | 0.974538i | \(-0.428015\pi\) | |||||||
\(744\) | −4.51432 | + | 9.42214i | −0.165503 | + | 0.345432i | ||||
\(745\) | 15.9614 | + | 14.6818i | 0.584782 | + | 0.537901i | ||||
\(746\) | −6.92995 | − | 4.45361i | −0.253724 | − | 0.163058i | ||||
\(747\) | 15.9582 | − | 47.7699i | 0.583879 | − | 1.74781i | ||||
\(748\) | 2.42795 | + | 0.349087i | 0.0887748 | + | 0.0127639i | ||||
\(749\) | −0.310580 | + | 0.483272i | −0.0113483 | + | 0.0176584i | ||||
\(750\) | −3.43254 | − | 19.0583i | −0.125338 | − | 0.695910i | ||||
\(751\) | 15.5589 | − | 7.10551i | 0.567752 | − | 0.259284i | −0.110792 | − | 0.993844i | \(-0.535339\pi\) |
0.678544 | + | 0.734560i | \(0.262611\pi\) | |||||||
\(752\) | −3.82812 | + | 2.46018i | −0.139597 | + | 0.0897135i | ||||
\(753\) | −1.98594 | − | 4.56931i | −0.0723716 | − | 0.166515i | ||||
\(754\) | −10.4100 | + | 12.0138i | −0.379109 | + | 0.437515i | ||||
\(755\) | −4.55640 | + | 1.91961i | −0.165824 | + | 0.0698619i | ||||
\(756\) | 0.899924 | + | 10.2483i | 0.0327299 | + | 0.372727i | ||||
\(757\) | 1.32280 | + | 9.20027i | 0.0480780 | + | 0.334389i | 0.999637 | + | 0.0269249i | \(0.00857148\pi\) |
−0.951560 | + | 0.307465i | \(0.900519\pi\) | |||||||
\(758\) | − | 23.6563i | − | 0.859236i | ||||||
\(759\) | 3.10190 | + | 9.05387i | 0.112592 | + | 0.328635i | ||||
\(760\) | −0.259989 | − | 2.28825i | −0.00943078 | − | 0.0830037i | ||||
\(761\) | −29.6915 | + | 4.26899i | −1.07632 | + | 0.154751i | −0.657601 | − | 0.753366i | \(-0.728429\pi\) |
−0.418716 | + | 0.908117i | \(0.637520\pi\) | |||||||
\(762\) | 1.37362 | + | 5.01797i | 0.0497612 | + | 0.181782i | ||||
\(763\) | −1.98318 | − | 6.75408i | −0.0717958 | − | 0.244514i | ||||
\(764\) | −8.71049 | + | 10.0524i | −0.315134 | + | 0.363684i | ||||
\(765\) | 13.4057 | + | 4.92497i | 0.484683 | + | 0.178063i | ||||
\(766\) | −8.92915 | − | 13.8940i | −0.322623 | − | 0.502012i | ||||
\(767\) | 14.6379 | + | 32.0525i | 0.528544 | + | 1.15735i | ||||
\(768\) | −0.278005 | + | 1.70959i | −0.0100317 | + | 0.0616897i | ||||
\(769\) | −22.6676 | + | 35.2714i | −0.817413 | + | 1.27192i | 0.141986 | + | 0.989869i | \(0.454651\pi\) |
−0.959399 | + | 0.282051i | \(0.908985\pi\) | |||||||
\(770\) | −0.151297 | + | 5.09849i | −0.00545235 | + | 0.183737i | ||||
\(771\) | 11.7130 | − | 7.22643i | 0.421834 | − | 0.260253i | ||||
\(772\) | 3.07453 | − | 4.78406i | 0.110655 | − | 0.172182i | ||||
\(773\) | 5.07104 | − | 4.39408i | 0.182393 | − | 0.158044i | −0.558879 | − | 0.829249i | \(-0.688768\pi\) |
0.741272 | + | 0.671205i | \(0.234223\pi\) | |||||||
\(774\) | −35.6068 | + | 9.04607i | −1.27986 | + | 0.325154i | ||||
\(775\) | −21.0675 | + | 21.5822i | −0.756767 | + | 0.775256i | ||||
\(776\) | −5.86655 | − | 1.72258i | −0.210597 | − | 0.0618368i | ||||
\(777\) | −29.1266 | − | 0.536110i | −1.04491 | − | 0.0192328i | ||||
\(778\) | −20.1838 | + | 5.92649i | −0.723623 | + | 0.212475i | ||||
\(779\) | −1.32799 | + | 2.90789i | −0.0475802 | + | 0.104186i | ||||
\(780\) | −19.3296 | − | 13.7783i | −0.692111 | − | 0.493341i | ||||
\(781\) | − | 14.3979i | − | 0.515196i | ||||||
\(782\) | −10.1901 | + | 0.641562i | −0.364398 | + | 0.0229422i | ||||
\(783\) | 6.64944 | + | 11.7223i | 0.237631 | + | 0.418922i | ||||
\(784\) | 0.438344 | + | 3.04875i | 0.0156551 | + | 0.108884i | ||||
\(785\) | 7.17012 | − | 21.9846i | 0.255913 | − | 0.784664i | ||||
\(786\) | −11.6301 | + | 17.3848i | −0.414833 | + | 0.620097i | ||||
\(787\) | −4.55611 | + | 5.25803i | −0.162408 | + | 0.187429i | −0.831121 | − | 0.556092i | \(-0.812300\pi\) |
0.668713 | + | 0.743521i | \(0.266846\pi\) | |||||||
\(788\) | −11.9171 | − | 3.49918i | −0.424529 | − | 0.124653i | ||||
\(789\) | 9.29898 | − | 29.6402i | 0.331052 | − | 1.05522i | ||||
\(790\) | −22.4561 | + | 13.5077i | −0.798952 | + | 0.480582i | ||||
\(791\) | −22.3594 | + | 19.3745i | −0.795008 | + | 0.688878i | ||||
\(792\) | −2.35809 | + | 2.52715i | −0.0837912 | + | 0.0897983i | ||||
\(793\) | −9.51976 | + | 66.2114i | −0.338057 | + | 2.35123i | ||||
\(794\) | 37.2266 | + | 5.35238i | 1.32112 | + | 0.189949i | ||||
\(795\) | −16.8657 | + | 4.08317i | −0.598164 | + | 0.144815i | ||||
\(796\) | 8.27913 | − | 7.17391i | 0.293446 | − | 0.254273i | ||||
\(797\) | −2.02013 | + | 0.922561i | −0.0715565 | + | 0.0326788i | −0.450872 | − | 0.892589i | \(-0.648887\pi\) |
0.379315 | + | 0.925267i | \(0.376160\pi\) | |||||||
\(798\) | −1.05723 | + | 3.36990i | −0.0374257 | + | 0.119293i | ||||
\(799\) | 2.72941 | − | 9.29552i | 0.0965596 | − | 0.328852i | ||||
\(800\) | −2.34311 | + | 4.41699i | −0.0828416 | + | 0.156164i | ||||
\(801\) | −3.34555 | − | 31.4461i | −0.118209 | − | 1.11109i | ||||
\(802\) | 6.29444 | − | 13.7829i | 0.222264 | − | 0.486691i | ||||
\(803\) | −3.08801 | + | 0.443989i | −0.108973 | + | 0.0156680i | ||||
\(804\) | −6.90042 | − | 8.26611i | −0.243359 | − | 0.291523i | ||||
\(805\) | −3.71774 | − | 20.9038i | −0.131033 | − | 0.736761i | ||||
\(806\) | 36.9704i | 1.30223i | ||||||||
\(807\) | 34.5756 | + | 31.0922i | 1.21712 | + | 1.09450i | ||||
\(808\) | −2.64434 | − | 1.20763i | −0.0930276 | − | 0.0424843i | ||||
\(809\) | 4.03083 | + | 13.7278i | 0.141717 | + | 0.482642i | 0.999508 | − | 0.0313550i | \(-0.00998225\pi\) |
−0.857792 | + | 0.513997i | \(0.828164\pi\) | |||||||
\(810\) | −16.4868 | + | 11.5405i | −0.579289 | + | 0.405493i | ||||
\(811\) | 49.0129 | + | 14.3915i | 1.72108 | + | 0.505353i | 0.985148 | − | 0.171707i | \(-0.0549284\pi\) |
0.735927 | + | 0.677061i | \(0.236747\pi\) | |||||||
\(812\) | −2.77624 | − | 4.31991i | −0.0974268 | − | 0.151599i | ||||
\(813\) | 24.1906 | − | 50.4898i | 0.848401 | − | 1.77076i | ||||
\(814\) | −6.40950 | − | 7.39696i | −0.224653 | − | 0.259263i | ||||
\(815\) | −1.35086 | + | 2.73985i | −0.0473185 | + | 0.0959727i | ||||
\(816\) | −1.93620 | − | 3.13830i | −0.0677805 | − | 0.109863i | ||||
\(817\) | −12.4840 | − | 1.79493i | −0.436761 | − | 0.0627967i | ||||
\(818\) | −17.1131 | − | 10.9979i | −0.598347 | − | 0.384534i | ||||
\(819\) | 18.5412 | + | 31.3286i | 0.647882 | + | 1.09471i | ||||
\(820\) | 5.94748 | − | 3.57750i | 0.207695 | − | 0.124932i | ||||
\(821\) | −4.13738 | − | 6.43789i | −0.144396 | − | 0.224684i | 0.761521 | − | 0.648140i | \(-0.224453\pi\) |
−0.905916 | + | 0.423456i | \(0.860817\pi\) | |||||||
\(822\) | 0.668484 | − | 0.290540i | 0.0233161 | − | 0.0101338i | ||||
\(823\) | −3.12371 | − | 2.70671i | −0.108886 | − | 0.0943501i | 0.598716 | − | 0.800961i | \(-0.295678\pi\) |
−0.707602 | + | 0.706611i | \(0.750223\pi\) | |||||||
\(824\) | 4.16669 | − | 1.22345i | 0.145153 | − | 0.0426209i | ||||
\(825\) | −8.78754 | + | 4.72633i | −0.305943 | + | 0.164550i | ||||
\(826\) | −11.2668 | + | 1.61992i | −0.392021 | + | 0.0563641i | ||||
\(827\) | 27.3360i | 0.950567i | 0.879833 | + | 0.475284i | \(0.157655\pi\) | ||||
−0.879833 | + | 0.475284i | \(0.842345\pi\) | |||||||
\(828\) | 7.46034 | − | 12.3022i | 0.259265 | − | 0.427530i | ||||
\(829\) | −20.4731 | −0.711061 | −0.355530 | − | 0.934665i | \(-0.615700\pi\) | ||||
−0.355530 | + | 0.934665i | \(0.615700\pi\) | |||||||
\(830\) | −36.3170 | + | 9.50314i | −1.26058 | + | 0.329859i | ||||
\(831\) | −3.04507 | − | 11.1239i | −0.105632 | − | 0.385885i | ||||
\(832\) | 1.72675 | + | 5.88075i | 0.0598641 | + | 0.203878i | ||||
\(833\) | −4.95583 | − | 4.29425i | −0.171709 | − | 0.148787i | ||||
\(834\) | 12.8821 | + | 29.6397i | 0.446072 | + | 1.02634i | ||||
\(835\) | 32.0010 | − | 26.1081i | 1.10744 | − | 0.903507i | ||||
\(836\) | −1.07939 | + | 0.492943i | −0.0373316 | + | 0.0170488i | ||||
\(837\) | 29.5405 | + | 10.4766i | 1.02107 | + | 0.362123i | ||||
\(838\) | 22.1374 | + | 14.2268i | 0.764723 | + | 0.491458i | ||||
\(839\) | 5.11611 | − | 35.5833i | 0.176628 | − | 1.22847i | −0.687869 | − | 0.725835i | \(-0.741454\pi\) |
0.864497 | − | 0.502638i | \(-0.167637\pi\) | |||||||
\(840\) | 6.02970 | − | 4.73722i | 0.208044 | − | 0.163450i | ||||
\(841\) | 18.7373 | + | 12.0417i | 0.646113 | + | 0.415231i | ||||
\(842\) | 9.05774 | − | 7.84857i | 0.312150 | − | 0.270480i | ||||
\(843\) | −6.37060 | + | 13.2965i | −0.219415 | + | 0.457956i | ||||
\(844\) | −7.84550 | + | 5.04200i | −0.270053 | + | 0.173553i | ||||
\(845\) | −54.1139 | − | 9.42645i | −1.86158 | − | 0.324280i | ||||
\(846\) | 8.55409 | + | 10.6391i | 0.294096 | + | 0.365779i | ||||
\(847\) | −18.3747 | + | 5.39530i | −0.631362 | + | 0.185385i | ||||
\(848\) | 4.07561 | + | 1.86127i | 0.139957 | + | 0.0639162i | ||||
\(849\) | −9.24363 | + | 10.2792i | −0.317240 | + | 0.352782i | ||||
\(850\) | −2.38810 | − | 10.3736i | −0.0819113 | − | 0.355812i | ||||
\(851\) | 32.4054 | + | 24.6922i | 1.11084 | + | 0.846436i | ||||
\(852\) | −16.6160 | + | 13.8707i | −0.569253 | + | 0.475204i | ||||
\(853\) | −44.2725 | + | 6.36543i | −1.51586 | + | 0.217948i | −0.849464 | − | 0.527647i | \(-0.823074\pi\) |
−0.666399 | + | 0.745595i | \(0.732165\pi\) | |||||||
\(854\) | −19.6557 | − | 8.97644i | −0.672603 | − | 0.307168i | ||||
\(855\) | −6.74372 | + | 1.50183i | −0.230630 | + | 0.0513616i | ||||
\(856\) | 0.219283 | + | 0.190010i | 0.00749493 | + | 0.00649440i | ||||
\(857\) | −34.8544 | − | 10.2342i | −1.19060 | − | 0.349593i | −0.374350 | − | 0.927287i | \(-0.622134\pi\) |
−0.816253 | + | 0.577695i | \(0.803952\pi\) | |||||||
\(858\) | −3.66125 | + | 11.6701i | −0.124993 | + | 0.398412i | ||||
\(859\) | −0.715242 | − | 1.56616i | −0.0244038 | − | 0.0534368i | 0.897038 | − | 0.441954i | \(-0.145715\pi\) |
−0.921441 | + | 0.388517i | \(0.872987\pi\) | |||||||
\(860\) | 20.1536 | + | 18.5379i | 0.687231 | + | 0.632137i | ||||
\(861\) | −10.5618 | + | 1.32066i | −0.359945 | + | 0.0450079i | ||||
\(862\) | 0.492578 | − | 3.42595i | 0.0167773 | − | 0.116688i | ||||
\(863\) | −5.00924 | + | 34.8400i | −0.170516 | + | 1.18597i | 0.707280 | + | 0.706933i | \(0.249922\pi\) |
−0.877796 | + | 0.479034i | \(0.840987\pi\) | |||||||
\(864\) | 5.18823 | + | 0.286746i | 0.176507 | + | 0.00975528i | ||||
\(865\) | 25.1045 | + | 23.0919i | 0.853579 | + | 0.785149i | ||||
\(866\) | −5.69338 | − | 12.4668i | −0.193469 | − | 0.423638i | ||||
\(867\) | −20.6040 | − | 6.46405i | −0.699748 | − | 0.219531i | ||||
\(868\) | −11.4589 | − | 3.36463i | −0.388940 | − | 0.114203i | ||||
\(869\) | 10.2046 | + | 8.84235i | 0.346168 | + | 0.299956i | ||||
\(870\) | 4.60714 | − | 8.92630i | 0.156197 | − | 0.302630i | ||||
\(871\) | −34.6594 | − | 15.8284i | −1.17439 | − | 0.536326i | ||||
\(872\) | −3.51920 | + | 0.505984i | −0.119175 | + | 0.0171348i | ||||
\(873\) | −3.27680 | + | 18.0476i | −0.110903 | + | 0.610819i | ||||
\(874\) | 3.97923 | − | 2.92622i | 0.134599 | − | 0.0989810i | ||||
\(875\) | 20.8729 | − | 7.36945i | 0.705634 | − | 0.249133i | ||||
\(876\) | 3.48734 | + | 3.13600i | 0.117826 | + | 0.105956i | ||||
\(877\) | 22.4894 | + | 10.2706i | 0.759415 | + | 0.346813i | 0.757199 | − | 0.653185i | \(-0.226567\pi\) |
0.00221582 | + | 0.999998i | \(0.499295\pi\) | |||||||
\(878\) | −8.96951 | + | 2.63369i | −0.302706 | + | 0.0888826i | ||||
\(879\) | 0.695581 | − | 37.7907i | 0.0234614 | − | 1.27465i | ||||
\(880\) | 2.53807 | + | 0.442122i | 0.0855583 | + | 0.0149039i | ||||
\(881\) | −1.33244 | + | 0.856307i | −0.0448910 | + | 0.0288497i | −0.562894 | − | 0.826529i | \(-0.690312\pi\) |
0.518003 | + | 0.855379i | \(0.326676\pi\) | |||||||
\(882\) | 8.95579 | − | 2.27526i | 0.301557 | − | 0.0766120i | ||||
\(883\) | 15.1254 | − | 13.1062i | 0.509010 | − | 0.441060i | −0.362106 | − | 0.932137i | \(-0.617942\pi\) |
0.871116 | + | 0.491077i | \(0.163397\pi\) | |||||||
\(884\) | −10.9772 | − | 7.05463i | −0.369204 | − | 0.237273i | ||||
\(885\) | −13.7560 | − | 17.5091i | −0.462402 | − | 0.588561i | ||||
\(886\) | 0.522687 | − | 3.63536i | 0.0175600 | − | 0.122132i | ||||
\(887\) | −20.6218 | − | 13.2528i | −0.692412 | − | 0.444986i | 0.146530 | − | 0.989206i | \(-0.453189\pi\) |
−0.838943 | + | 0.544220i | \(0.816826\pi\) | |||||||
\(888\) | −2.36167 | + | 14.5231i | −0.0792524 | + | 0.487363i | ||||
\(889\) | −5.40956 | + | 2.47046i | −0.181431 | + | 0.0828567i | ||||
\(890\) | −18.2636 | + | 14.9004i | −0.612198 | + | 0.499463i | ||||
\(891\) | 8.28731 | + | 6.23251i | 0.277635 | + | 0.208797i | ||||
\(892\) | 21.0312 | + | 18.2236i | 0.704175 | + | 0.610171i | ||||
\(893\) | 1.32038 | + | 4.49681i | 0.0441849 | + | 0.150480i | ||||
\(894\) | −16.2026 | + | 4.43530i | −0.541894 | + | 0.148339i | ||||
\(895\) | −17.5032 | + | 4.58009i | −0.585068 | + | 0.153096i | ||||
\(896\) | −1.97987 | −0.0661430 | ||||||||
\(897\) | 4.99794 | − | 50.6656i | 0.166876 | − | 1.69167i | ||||
\(898\) | − | 35.9863i | − | 1.20088i | ||||||
\(899\) | −15.4856 | + | 2.22650i | −0.516475 | + | 0.0742579i | ||||
\(900\) | 13.9203 | + | 5.58803i | 0.464009 | + | 0.186268i | ||||
\(901\) | −9.15256 | + | 2.68743i | −0.304916 | + | 0.0895314i | ||||
\(902\) | −2.70269 | − | 2.34189i | −0.0899896 | − | 0.0779764i | ||||
\(903\) | −16.7392 | − | 38.5140i | −0.557045 | − | 1.28167i | ||||
\(904\) | 8.07891 | + | 12.5710i | 0.268701 | + | 0.418106i | ||||
\(905\) | −8.66768 | + | 5.21374i | −0.288124 | + | 0.173311i | ||||
\(906\) | 0.614709 | − | 3.78015i | 0.0204223 | − | 0.125587i | ||||
\(907\) | 27.1997 | + | 17.4802i | 0.903150 | + | 0.580419i | 0.907723 | − | 0.419570i | \(-0.137819\pi\) |
−0.00457305 | + | 0.999990i | \(0.501456\pi\) | |||||||
\(908\) | 17.6770 | + | 2.54157i | 0.586633 | + | 0.0843451i | ||||
\(909\) | −2.76330 | + | 8.27178i | −0.0916528 | + | 0.274358i | ||||
\(910\) | 11.9990 | − | 24.3368i | 0.397764 | − | 0.806756i | ||||
\(911\) | −21.6456 | − | 24.9803i | −0.717150 | − | 0.827635i | 0.273811 | − | 0.961783i | \(-0.411716\pi\) |
−0.990961 | + | 0.134148i | \(0.957170\pi\) | |||||||
\(912\) | 1.60876 | + | 0.770786i | 0.0532714 | + | 0.0255233i | ||||
\(913\) | 10.4574 | + | 16.2721i | 0.346091 | + | 0.538528i | ||||
\(914\) | −5.00823 | − | 1.47055i | −0.165658 | − | 0.0486414i | ||||
\(915\) | −3.99821 | − | 42.0803i | −0.132177 | − | 1.39113i | ||||
\(916\) | 4.55769 | + | 15.5221i | 0.150590 | + | 0.512863i | ||||
\(917\) | −21.7484 | − | 9.93218i | −0.718197 | − | 0.327989i | ||||
\(918\) | −8.74757 | + | 6.77203i | −0.288713 | + | 0.223510i | ||||
\(919\) | − | 24.6901i | − | 0.814452i | −0.913328 | − | 0.407226i | \(-0.866496\pi\) | ||
0.913328 | − | 0.407226i | \(-0.133504\pi\) | |||||||
\(920\) | −10.7179 | + | 0.356074i | −0.353358 | + | 0.0117394i | ||||
\(921\) | −1.81879 | + | 1.51829i | −0.0599310 | + | 0.0500295i | ||||
\(922\) | −2.26295 | + | 0.325363i | −0.0745262 | + | 0.0107152i | ||||
\(923\) | −31.8172 | + | 69.6699i | −1.04728 | + | 2.29321i | ||||
\(924\) | −3.28393 | − | 2.19688i | −0.108033 | − | 0.0722721i | ||||
\(925\) | −19.9049 | + | 37.5225i | −0.654468 | + | 1.23373i | ||||
\(926\) | 6.03828 | − | 20.5645i | 0.198430 | − | 0.675791i | ||||
\(927\) | −4.97217 | − | 12.0416i | −0.163308 | − | 0.395498i | ||||
\(928\) | −2.35926 | + | 1.07744i | −0.0774465 | + | 0.0353686i | ||||
\(929\) | 3.65462 | − | 3.16675i | 0.119904 | − | 0.103898i | −0.592845 | − | 0.805317i | \(-0.701995\pi\) |
0.712749 | + | 0.701419i | \(0.247450\pi\) | |||||||
\(930\) | −5.49710 | − | 22.7060i | −0.180257 | − | 0.744558i | ||||
\(931\) | 3.13997 | + | 0.451460i | 0.102908 | + | 0.0147960i | ||||
\(932\) | −2.66744 | + | 18.5524i | −0.0873748 | + | 0.607705i | ||||
\(933\) | −50.5082 | + | 6.31561i | −1.65356 | + | 0.206764i | ||||
\(934\) | −7.85506 | + | 6.80644i | −0.257025 | + | 0.222714i | ||||
\(935\) | −4.70012 | + | 2.82719i | −0.153710 | + | 0.0924590i | ||||
\(936\) | 16.9952 | − | 7.01760i | 0.555506 | − | 0.229377i | ||||
\(937\) | −42.9289 | − | 12.6051i | −1.40243 | − | 0.411789i | −0.508909 | − | 0.860820i | \(-0.669951\pi\) |
−0.893516 | + | 0.449031i | \(0.851769\pi\) | |||||||
\(938\) | 8.06029 | − | 9.30208i | 0.263178 | − | 0.303724i | ||||
\(939\) | −38.8625 | − | 25.9983i | −1.26823 | − | 0.848421i | ||||
\(940\) | 3.15501 | − | 9.67371i | 0.102905 | − | 0.315522i | ||||
\(941\) | −3.93962 | − | 27.4006i | −0.128428 | − | 0.893235i | −0.947548 | − | 0.319613i | \(-0.896447\pi\) |
0.819120 | − | 0.573622i | \(-0.194462\pi\) | |||||||
\(942\) | 11.4788 | + | 13.7506i | 0.373998 | + | 0.448017i | ||||
\(943\) | 13.0037 | + | 7.24510i | 0.423457 | + | 0.235933i | ||||
\(944\) | 5.74917i | 0.187120i | ||||||||
\(945\) | −16.0456 | − | 16.4841i | −0.521964 | − | 0.536227i | ||||
\(946\) | 5.86118 | − | 12.8342i | 0.190564 | − | 0.417276i | ||||
\(947\) | 47.4207 | − | 13.9240i | 1.54096 | − | 0.452468i | 0.602579 | − | 0.798059i | \(-0.294140\pi\) |
0.938385 | + | 0.345591i | \(0.112321\pi\) | |||||||
\(948\) | 0.373559 | − | 20.2953i | 0.0121326 | − | 0.659162i | ||||
\(949\) | 15.9237 | + | 4.67563i | 0.516906 | + | 0.151777i | ||||
\(950\) | 3.68500 | + | 3.59712i | 0.119557 | + | 0.116706i | ||||
\(951\) | 23.8815 | − | 49.8448i | 0.774412 | − | 1.61633i | ||||
\(952\) | 3.18559 | − | 2.76033i | 0.103245 | − | 0.0894627i | ||||
\(953\) | 19.0934 | − | 29.7099i | 0.618496 | − | 0.962399i | −0.380791 | − | 0.924661i | \(-0.624348\pi\) |
0.999288 | − | 0.0377382i | \(-0.0120153\pi\) | |||||||
\(954\) | 4.25895 | − | 12.7489i | 0.137889 | − | 0.412762i | ||||
\(955\) | 0.882216 | − | 29.7295i | 0.0285478 | − | 0.962023i | ||||
\(956\) | 8.29298 | − | 12.9041i | 0.268214 | − | 0.417349i | ||||
\(957\) | −5.10873 | − | 0.830755i | −0.165142 | − | 0.0268545i | ||||
\(958\) | −4.24531 | − | 9.29593i | −0.137160 | − | 0.300338i | ||||
\(959\) | 0.450453 | + | 0.700919i | 0.0145459 | + | 0.0226338i | ||||
\(960\) | −1.93491 | − | 3.35501i | −0.0624491 | − | 0.108283i | ||||
\(961\) | −3.52658 | + | 4.06989i | −0.113761 | + | 0.131287i | ||||
\(962\) | 14.6688 | + | 49.9573i | 0.472940 | + | 1.61069i | ||||
\(963\) | 0.497234 | − | 0.714462i | 0.0160231 | − | 0.0230232i | ||||
\(964\) | 18.4645 | − | 2.65479i | 0.594701 | − | 0.0855051i | ||||
\(965\) | 1.43555 | + | 12.6348i | 0.0462121 | + | 0.406730i | ||||
\(966\) | 15.2488 | + | 6.16011i | 0.490623 | + | 0.198198i | ||||
\(967\) | − | 6.05303i | − | 0.194652i | −0.995253 | − | 0.0973261i | \(-0.968971\pi\) | ||
0.995253 | − | 0.0973261i | \(-0.0310290\pi\) | |||||||
\(968\) | 1.37655 | + | 9.57409i | 0.0442439 | + | 0.307723i | ||||
\(969\) | −3.66309 | + | 1.00274i | −0.117676 | + | 0.0322126i | ||||
\(970\) | 12.5993 | − | 5.30809i | 0.404539 | − | 0.170433i | ||||
\(971\) | 0.779866 | − | 0.900013i | 0.0250271 | − | 0.0288828i | −0.743098 | − | 0.669183i | \(-0.766644\pi\) |
0.768125 | + | 0.640300i | \(0.221190\pi\) | |||||||
\(972\) | −0.791230 | − | 15.5684i | −0.0253787 | − | 0.499356i | ||||
\(973\) | −31.0777 | + | 19.9725i | −0.996307 | + | 0.640288i | ||||
\(974\) | 14.5688 | − | 6.65333i | 0.466813 | − | 0.213186i | ||||
\(975\) | 52.9666 | − | 3.45106i | 1.69629 | − | 0.110522i | ||||
\(976\) | −5.90056 | + | 9.18145i | −0.188872 | + | 0.293891i | ||||
\(977\) | −31.1930 | − | 4.48488i | −0.997953 | − | 0.143484i | −0.376068 | − | 0.926592i | \(-0.622724\pi\) |
−0.621885 | + | 0.783108i | \(0.713633\pi\) | |||||||
\(978\) | −1.24242 | − | 2.01379i | −0.0397282 | − | 0.0643939i | ||||
\(979\) | 10.2171 | + | 6.56610i | 0.326538 | + | 0.209853i | ||||
\(980\) | −5.06901 | − | 4.66263i | −0.161924 | − | 0.148942i | ||||
\(981\) | 2.62636 | + | 10.3378i | 0.0838531 | + | 0.330059i | ||||
\(982\) | −17.6211 | − | 27.4190i | −0.562313 | − | 0.874976i | ||||
\(983\) | 13.1080 | − | 44.6419i | 0.418081 | − | 1.42385i | −0.434222 | − | 0.900806i | \(-0.642977\pi\) |
0.852303 | − | 0.523048i | \(-0.175205\pi\) | |||||||
\(984\) | −0.0989369 | + | 5.37520i | −0.00315399 | + | 0.171355i | ||||
\(985\) | 25.5938 | − | 10.7827i | 0.815485 | − | 0.343564i | ||||
\(986\) | 2.29385 | − | 5.02284i | 0.0730512 | − | 0.159960i | ||||
\(987\) | −10.4342 | + | 11.6032i | −0.332125 | + | 0.369334i | ||||
\(988\) | 6.31242 | 0.200825 | ||||||||
\(989\) | −12.9726 | + | 57.2790i | −0.412504 | + | 1.82137i | ||||
\(990\) | 0.513393 | − | 7.71180i | 0.0163167 | − | 0.245097i | ||||
\(991\) | −5.38504 | − | 37.4538i | −0.171061 | − | 1.18976i | −0.876647 | − | 0.481133i | \(-0.840225\pi\) |
0.705586 | − | 0.708624i | \(-0.250684\pi\) | |||||||
\(992\) | −2.50579 | + | 5.48692i | −0.0795589 | + | 0.174210i | ||||
\(993\) | −40.7185 | − | 27.2399i | −1.29216 | − | 0.864432i | ||||
\(994\) | −18.6984 | − | 16.2022i | −0.593076 | − | 0.513904i | ||||
\(995\) | −4.20378 | + | 24.1324i | −0.133269 | + | 0.765049i | ||||
\(996\) | 8.70434 | − | 27.7448i | 0.275808 | − | 0.879129i | ||||
\(997\) | 4.98354 | − | 2.27591i | 0.157830 | − | 0.0720787i | −0.334934 | − | 0.942242i | \(-0.608714\pi\) |
0.492764 | + | 0.870163i | \(0.335987\pi\) | |||||||
\(998\) | −19.4734 | − | 22.4735i | −0.616419 | − | 0.711385i | ||||
\(999\) | 44.0743 | + | 2.43592i | 1.39445 | + | 0.0770690i |
(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.n.a.89.2 | ✓ | 240 | |
3.2 | odd | 2 | 690.2.n.b.89.9 | yes | 240 | ||
5.4 | even | 2 | 690.2.n.b.89.23 | yes | 240 | ||
15.14 | odd | 2 | inner | 690.2.n.a.89.16 | yes | 240 | |
23.15 | odd | 22 | inner | 690.2.n.a.659.16 | yes | 240 | |
69.38 | even | 22 | 690.2.n.b.659.23 | yes | 240 | ||
115.84 | odd | 22 | 690.2.n.b.659.9 | yes | 240 | ||
345.314 | even | 22 | inner | 690.2.n.a.659.2 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.n.a.89.2 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.n.a.89.16 | yes | 240 | 15.14 | odd | 2 | inner | |
690.2.n.a.659.2 | yes | 240 | 345.314 | even | 22 | inner | |
690.2.n.a.659.16 | yes | 240 | 23.15 | odd | 22 | inner | |
690.2.n.b.89.9 | yes | 240 | 3.2 | odd | 2 | ||
690.2.n.b.89.23 | yes | 240 | 5.4 | even | 2 | ||
690.2.n.b.659.9 | yes | 240 | 115.84 | odd | 22 | ||
690.2.n.b.659.23 | yes | 240 | 69.38 | even | 22 |