Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(97,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.s (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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 727.14 | ||
Character | \(\chi\) | \(=\) | 966.727 |
Dual form | 966.2.s.a.97.14 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{21}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | + | 0.281733i | −0.678464 | + | 0.199215i | ||||
\(3\) | 0.755750 | − | 0.654861i | 0.436332 | − | 0.378084i | ||||
\(4\) | 0.841254 | − | 0.540641i | 0.420627 | − | 0.270320i | ||||
\(5\) | 0.288108 | + | 2.00384i | 0.128846 | + | 0.896143i | 0.947021 | + | 0.321173i | \(0.104077\pi\) |
−0.818175 | + | 0.574970i | \(0.805014\pi\) | |||||||
\(6\) | −0.540641 | + | 0.841254i | −0.220716 | + | 0.343440i | ||||
\(7\) | 1.55640 | + | 2.13954i | 0.588265 | + | 0.808668i | ||||
\(8\) | −0.654861 | + | 0.755750i | −0.231528 | + | 0.267198i | ||||
\(9\) | 0.142315 | − | 0.989821i | 0.0474383 | − | 0.329940i | ||||
\(10\) | −0.840984 | − | 1.84150i | −0.265942 | − | 0.582333i | ||||
\(11\) | 1.41556 | − | 4.82096i | 0.426808 | − | 1.45358i | −0.413019 | − | 0.910722i | \(-0.635526\pi\) |
0.839828 | − | 0.542853i | \(-0.182656\pi\) | |||||||
\(12\) | 0.281733 | − | 0.959493i | 0.0813292 | − | 0.276982i | ||||
\(13\) | −2.71849 | + | 1.24149i | −0.753973 | + | 0.344328i | −0.755046 | − | 0.655672i | \(-0.772386\pi\) |
0.00107335 | + | 0.999999i | \(0.499658\pi\) | |||||||
\(14\) | −2.09613 | − | 1.61438i | −0.560215 | − | 0.431461i | ||||
\(15\) | 1.52997 | + | 1.32573i | 0.395037 | + | 0.342301i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | 2.66541 | + | 1.71295i | 0.646457 | + | 0.415452i | 0.822370 | − | 0.568953i | \(-0.192651\pi\) |
−0.175913 | + | 0.984406i | \(0.556288\pi\) | |||||||
\(18\) | 0.142315 | + | 0.989821i | 0.0335439 | + | 0.233303i | ||||
\(19\) | 5.50906 | − | 3.54046i | 1.26387 | − | 0.812237i | 0.275057 | − | 0.961428i | \(-0.411303\pi\) |
0.988808 | + | 0.149191i | \(0.0476669\pi\) | |||||||
\(20\) | 1.32573 | + | 1.52997i | 0.296442 | + | 0.342112i | ||||
\(21\) | 2.57735 | + | 0.597727i | 0.562423 | + | 0.130435i | ||||
\(22\) | 5.02449i | 1.07123i | ||||||||
\(23\) | 1.21115 | + | 4.64038i | 0.252542 | + | 0.967586i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | 0.865112 | − | 0.254020i | 0.173022 | − | 0.0508040i | ||||
\(26\) | 2.25860 | − | 1.95709i | 0.442948 | − | 0.383817i | ||||
\(27\) | −0.540641 | − | 0.841254i | −0.104046 | − | 0.161899i | ||||
\(28\) | 2.46605 | + | 0.958437i | 0.466039 | + | 0.181128i | ||||
\(29\) | −7.83543 | − | 5.03553i | −1.45500 | − | 0.935074i | −0.998982 | − | 0.0451046i | \(-0.985638\pi\) |
−0.456021 | − | 0.889969i | \(-0.650726\pi\) | |||||||
\(30\) | −1.84150 | − | 0.840984i | −0.336210 | − | 0.153542i | ||||
\(31\) | 6.73891 | + | 5.83930i | 1.21034 | + | 1.04877i | 0.997426 | + | 0.0716984i | \(0.0228419\pi\) |
0.212917 | + | 0.977070i | \(0.431704\pi\) | |||||||
\(32\) | −0.142315 | + | 0.989821i | −0.0251579 | + | 0.174977i | ||||
\(33\) | −2.08725 | − | 4.57044i | −0.363343 | − | 0.795611i | ||||
\(34\) | −3.04004 | − | 0.892635i | −0.521362 | − | 0.153086i | ||||
\(35\) | −3.83887 | + | 3.73519i | −0.648887 | + | 0.631363i | ||||
\(36\) | −0.415415 | − | 0.909632i | −0.0692358 | − | 0.151605i | ||||
\(37\) | 8.87698 | + | 1.27632i | 1.45937 | + | 0.209825i | 0.825844 | − | 0.563899i | \(-0.190699\pi\) |
0.633522 | + | 0.773724i | \(0.281608\pi\) | |||||||
\(38\) | −4.28844 | + | 4.94913i | −0.695677 | + | 0.802854i | ||||
\(39\) | −1.24149 | + | 2.71849i | −0.198798 | + | 0.435306i | ||||
\(40\) | −1.70307 | − | 1.09450i | −0.269279 | − | 0.173055i | ||||
\(41\) | −3.87631 | + | 0.557329i | −0.605377 | + | 0.0870401i | −0.438186 | − | 0.898884i | \(-0.644379\pi\) |
−0.167191 | + | 0.985924i | \(0.553470\pi\) | |||||||
\(42\) | −2.64135 | + | 0.152608i | −0.407569 | + | 0.0235480i | ||||
\(43\) | −6.98924 | + | 6.05621i | −1.06585 | + | 0.923564i | −0.997252 | − | 0.0740805i | \(-0.976398\pi\) |
−0.0685974 | + | 0.997644i | \(0.521852\pi\) | |||||||
\(44\) | −1.41556 | − | 4.82096i | −0.213404 | − | 0.726788i | ||||
\(45\) | 2.02444 | 0.301786 | ||||||||
\(46\) | −2.46943 | − | 4.11119i | −0.364098 | − | 0.606162i | ||||
\(47\) | 8.39447i | 1.22446i | 0.790680 | + | 0.612230i | \(0.209727\pi\) | ||||
−0.790680 | + | 0.612230i | \(0.790273\pi\) | |||||||
\(48\) | −0.281733 | − | 0.959493i | −0.0406646 | − | 0.138491i | ||||
\(49\) | −2.15523 | + | 6.65996i | −0.307889 | + | 0.951422i | ||||
\(50\) | −0.758504 | + | 0.487461i | −0.107269 | + | 0.0689373i | ||||
\(51\) | 3.13613 | − | 0.450907i | 0.439146 | − | 0.0631396i | ||||
\(52\) | −1.61574 | + | 2.51413i | −0.224062 | + | 0.348648i | ||||
\(53\) | −3.30382 | − | 1.50881i | −0.453815 | − | 0.207250i | 0.175375 | − | 0.984502i | \(-0.443886\pi\) |
−0.629190 | + | 0.777251i | \(0.716613\pi\) | |||||||
\(54\) | 0.755750 | + | 0.654861i | 0.102844 | + | 0.0891153i | ||||
\(55\) | 10.0683 | + | 1.44760i | 1.35760 | + | 0.195194i | ||||
\(56\) | −2.63618 | − | 0.224848i | −0.352274 | − | 0.0300465i | ||||
\(57\) | 1.84496 | − | 6.28337i | 0.244371 | − | 0.832252i | ||||
\(58\) | 8.93671 | + | 2.62406i | 1.17345 | + | 0.344555i | ||||
\(59\) | 0.0236635 | − | 0.0108068i | 0.00308073 | − | 0.00140692i | −0.413874 | − | 0.910334i | \(-0.635825\pi\) |
0.416955 | + | 0.908927i | \(0.363097\pi\) | |||||||
\(60\) | 2.00384 | + | 0.288108i | 0.258694 | + | 0.0371946i | ||||
\(61\) | 5.64895 | − | 6.51924i | 0.723274 | − | 0.834703i | −0.268422 | − | 0.963301i | \(-0.586502\pi\) |
0.991697 | + | 0.128598i | \(0.0410478\pi\) | |||||||
\(62\) | −8.11105 | − | 3.70419i | −1.03010 | − | 0.470433i | ||||
\(63\) | 2.33926 | − | 1.23607i | 0.294719 | − | 0.155730i | ||||
\(64\) | −0.142315 | − | 0.989821i | −0.0177894 | − | 0.123728i | ||||
\(65\) | −3.27096 | − | 5.08972i | −0.405713 | − | 0.631302i | ||||
\(66\) | 3.29034 | + | 3.79726i | 0.405013 | + | 0.467410i | ||||
\(67\) | −0.852984 | − | 2.90500i | −0.104209 | − | 0.354902i | 0.890837 | − | 0.454323i | \(-0.150119\pi\) |
−0.995045 | + | 0.0994216i | \(0.968301\pi\) | |||||||
\(68\) | 3.16838 | 0.384222 | ||||||||
\(69\) | 3.95413 | + | 2.71383i | 0.476021 | + | 0.326707i | ||||
\(70\) | 2.63104 | − | 4.66542i | 0.314469 | − | 0.557625i | ||||
\(71\) | 7.65856 | − | 2.24876i | 0.908904 | − | 0.266878i | 0.206324 | − | 0.978484i | \(-0.433850\pi\) |
0.702579 | + | 0.711605i | \(0.252032\pi\) | |||||||
\(72\) | 0.654861 | + | 0.755750i | 0.0771761 | + | 0.0890659i | ||||
\(73\) | 6.38080 | + | 9.92872i | 0.746816 | + | 1.16207i | 0.981772 | + | 0.190063i | \(0.0608691\pi\) |
−0.234956 | + | 0.972006i | \(0.575495\pi\) | |||||||
\(74\) | −8.87698 | + | 1.27632i | −1.03193 | + | 0.148369i | ||||
\(75\) | 0.487461 | − | 0.758504i | 0.0562871 | − | 0.0875844i | ||||
\(76\) | 2.72040 | − | 5.95685i | 0.312051 | − | 0.683297i | ||||
\(77\) | 12.5178 | − | 4.47471i | 1.42654 | − | 0.509941i | ||||
\(78\) | 0.425316 | − | 2.95814i | 0.0481576 | − | 0.334943i | ||||
\(79\) | 8.35048 | − | 3.81354i | 0.939503 | − | 0.429056i | 0.114016 | − | 0.993479i | \(-0.463628\pi\) |
0.825486 | + | 0.564422i | \(0.190901\pi\) | |||||||
\(80\) | 1.94244 | + | 0.570351i | 0.217171 | + | 0.0637672i | ||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | 3.56227 | − | 1.62683i | 0.393387 | − | 0.179654i | ||||
\(83\) | −0.168430 | + | 1.17146i | −0.0184876 | + | 0.128584i | −0.996975 | − | 0.0777223i | \(-0.975235\pi\) |
0.978487 | + | 0.206306i | \(0.0661443\pi\) | |||||||
\(84\) | 2.49136 | − | 0.890580i | 0.271830 | − | 0.0971702i | ||||
\(85\) | −2.66455 | + | 5.83456i | −0.289011 | + | 0.632847i | ||||
\(86\) | 4.99990 | − | 7.77999i | 0.539153 | − | 0.838938i | ||||
\(87\) | −9.21919 | + | 1.32552i | −0.988401 | + | 0.142111i | ||||
\(88\) | 2.71645 | + | 4.22687i | 0.289574 | + | 0.450586i | ||||
\(89\) | −0.733224 | − | 0.846186i | −0.0777216 | − | 0.0896955i | 0.715557 | − | 0.698554i | \(-0.246173\pi\) |
−0.793279 | + | 0.608859i | \(0.791628\pi\) | |||||||
\(90\) | −1.94244 | + | 0.570351i | −0.204751 | + | 0.0601203i | ||||
\(91\) | −6.88728 | − | 3.88404i | −0.721983 | − | 0.407158i | ||||
\(92\) | 3.52766 | + | 3.24894i | 0.367784 | + | 0.338725i | ||||
\(93\) | 8.91685 | 0.924635 | ||||||||
\(94\) | −2.36499 | − | 8.05443i | −0.243931 | − | 0.830751i | ||||
\(95\) | 8.68170 | + | 10.0192i | 0.890724 | + | 1.02795i | ||||
\(96\) | 0.540641 | + | 0.841254i | 0.0551789 | + | 0.0858601i | ||||
\(97\) | 1.87253 | + | 13.0238i | 0.190127 | + | 1.32236i | 0.831668 | + | 0.555273i | \(0.187386\pi\) |
−0.641541 | + | 0.767089i | \(0.721705\pi\) | |||||||
\(98\) | 0.191598 | − | 6.99738i | 0.0193543 | − | 0.706842i | ||||
\(99\) | −4.57044 | − | 2.08725i | −0.459346 | − | 0.209776i | ||||
\(100\) | 0.590445 | − | 0.681410i | 0.0590445 | − | 0.0681410i | ||||
\(101\) | −1.06230 | − | 0.152735i | −0.105703 | − | 0.0151977i | 0.0892605 | − | 0.996008i | \(-0.471550\pi\) |
−0.194963 | + | 0.980811i | \(0.562459\pi\) | |||||||
\(102\) | −2.88206 | + | 1.31619i | −0.285366 | + | 0.130322i | ||||
\(103\) | −14.7740 | − | 4.33804i | −1.45572 | − | 0.427439i | −0.544295 | − | 0.838894i | \(-0.683203\pi\) |
−0.911430 | + | 0.411455i | \(0.865021\pi\) | |||||||
\(104\) | 0.841974 | − | 2.86750i | 0.0825624 | − | 0.281182i | ||||
\(105\) | −0.455191 | + | 5.33679i | −0.0444221 | + | 0.520818i | ||||
\(106\) | 3.59508 | + | 0.516894i | 0.349185 | + | 0.0502052i | ||||
\(107\) | −6.71216 | − | 5.81612i | −0.648889 | − | 0.562266i | 0.267000 | − | 0.963696i | \(-0.413968\pi\) |
−0.915889 | + | 0.401431i | \(0.868513\pi\) | |||||||
\(108\) | −0.909632 | − | 0.415415i | −0.0875294 | − | 0.0399733i | ||||
\(109\) | 7.38075 | − | 11.4847i | 0.706947 | − | 1.10003i | −0.283072 | − | 0.959099i | \(-0.591353\pi\) |
0.990019 | − | 0.140933i | \(-0.0450101\pi\) | |||||||
\(110\) | −10.0683 | + | 1.44760i | −0.959971 | + | 0.138023i | ||||
\(111\) | 7.54458 | − | 4.84861i | 0.716100 | − | 0.460209i | ||||
\(112\) | 2.59274 | − | 0.526958i | 0.244991 | − | 0.0497928i | ||||
\(113\) | −0.771575 | − | 2.62774i | −0.0725836 | − | 0.247197i | 0.915207 | − | 0.402984i | \(-0.132027\pi\) |
−0.987791 | + | 0.155787i | \(0.950209\pi\) | |||||||
\(114\) | 6.54863i | 0.613336i | ||||||||
\(115\) | −8.94962 | + | 3.76387i | −0.834556 | + | 0.350983i | ||||
\(116\) | −9.31400 | −0.864783 | ||||||||
\(117\) | 0.841974 | + | 2.86750i | 0.0778405 | + | 0.265101i | ||||
\(118\) | −0.0196604 | + | 0.0170358i | −0.00180988 | + | 0.00156827i | ||||
\(119\) | 0.483521 | + | 8.36878i | 0.0443243 | + | 0.767165i | ||||
\(120\) | −2.00384 | + | 0.288108i | −0.182924 | + | 0.0263006i | ||||
\(121\) | −11.9841 | − | 7.70171i | −1.08946 | − | 0.700155i | ||||
\(122\) | −3.58345 | + | 7.84666i | −0.324430 | + | 0.710403i | ||||
\(123\) | −2.56454 | + | 2.95964i | −0.231237 | + | 0.266862i | ||||
\(124\) | 8.82609 | + | 1.26900i | 0.792606 | + | 0.113960i | ||||
\(125\) | 4.96318 | + | 10.8678i | 0.443920 | + | 0.972050i | ||||
\(126\) | −1.89626 | + | 1.84505i | −0.168932 | + | 0.164370i | ||||
\(127\) | 7.65856 | + | 2.24876i | 0.679588 | + | 0.199545i | 0.603268 | − | 0.797538i | \(-0.293865\pi\) |
0.0763196 | + | 0.997083i | \(0.475683\pi\) | |||||||
\(128\) | 0.415415 | + | 0.909632i | 0.0367178 | + | 0.0804009i | ||||
\(129\) | −1.31614 | + | 9.15396i | −0.115880 | + | 0.805961i | ||||
\(130\) | 4.57241 | + | 3.96201i | 0.401027 | + | 0.347492i | ||||
\(131\) | −1.70730 | − | 0.779698i | −0.149168 | − | 0.0681225i | 0.339433 | − | 0.940630i | \(-0.389765\pi\) |
−0.488600 | + | 0.872508i | \(0.662492\pi\) | |||||||
\(132\) | −4.22687 | − | 2.71645i | −0.367902 | − | 0.236436i | ||||
\(133\) | 16.1493 | + | 6.27646i | 1.40032 | + | 0.544238i | ||||
\(134\) | 1.63686 | + | 2.54701i | 0.141404 | + | 0.220028i | ||||
\(135\) | 1.52997 | − | 1.32573i | 0.131679 | − | 0.114100i | ||||
\(136\) | −3.04004 | + | 0.892635i | −0.260681 | + | 0.0765428i | ||||
\(137\) | − | 8.00531i | − | 0.683940i | −0.939711 | − | 0.341970i | \(-0.888906\pi\) | ||
0.939711 | − | 0.341970i | \(-0.111094\pi\) | |||||||
\(138\) | −4.55853 | − | 1.48990i | −0.388048 | − | 0.126828i | ||||
\(139\) | − | 17.6167i | − | 1.49423i | −0.664697 | − | 0.747113i | \(-0.731439\pi\) | ||
0.664697 | − | 0.747113i | \(-0.268561\pi\) | |||||||
\(140\) | −1.21006 | + | 5.21769i | −0.102269 | + | 0.440975i | ||||
\(141\) | 5.49721 | + | 6.34412i | 0.462948 | + | 0.534271i | ||||
\(142\) | −6.71479 | + | 4.31533i | −0.563492 | + | 0.362135i | ||||
\(143\) | 2.13700 | + | 14.8631i | 0.178705 | + | 1.24292i | ||||
\(144\) | −0.841254 | − | 0.540641i | −0.0701045 | − | 0.0450534i | ||||
\(145\) | 7.83292 | − | 17.1517i | 0.650488 | − | 1.42437i | ||||
\(146\) | −8.91958 | − | 7.72886i | −0.738189 | − | 0.639645i | ||||
\(147\) | 2.73253 | + | 6.44463i | 0.225375 | + | 0.531544i | ||||
\(148\) | 8.15782 | − | 3.72555i | 0.670568 | − | 0.306238i | ||||
\(149\) | −3.00377 | + | 10.2299i | −0.246079 | + | 0.838067i | 0.740116 | + | 0.672479i | \(0.234770\pi\) |
−0.986195 | + | 0.165588i | \(0.947048\pi\) | |||||||
\(150\) | −0.254020 | + | 0.865112i | −0.0207406 | + | 0.0706361i | ||||
\(151\) | −1.26402 | − | 2.76782i | −0.102864 | − | 0.225242i | 0.851201 | − | 0.524840i | \(-0.175875\pi\) |
−0.954066 | + | 0.299598i | \(0.903147\pi\) | |||||||
\(152\) | −0.931968 | + | 6.48198i | −0.0755926 | + | 0.525758i | ||||
\(153\) | 2.07485 | − | 2.39450i | 0.167741 | − | 0.193584i | ||||
\(154\) | −10.7501 | + | 7.82013i | −0.866266 | + | 0.630164i | ||||
\(155\) | −9.75946 | + | 15.1860i | −0.783899 | + | 1.21977i | ||||
\(156\) | 0.425316 | + | 2.95814i | 0.0340525 | + | 0.236841i | ||||
\(157\) | −9.21062 | + | 5.91930i | −0.735087 | + | 0.472412i | −0.853856 | − | 0.520510i | \(-0.825742\pi\) |
0.118768 | + | 0.992922i | \(0.462105\pi\) | |||||||
\(158\) | −6.93783 | + | 6.01166i | −0.551944 | + | 0.478262i | ||||
\(159\) | −3.48492 | + | 1.02327i | −0.276372 | + | 0.0811502i | ||||
\(160\) | −2.02444 | −0.160046 | ||||||||
\(161\) | −8.04322 | + | 9.81359i | −0.633895 | + | 0.773419i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −13.5895 | + | 3.99024i | −1.06441 | + | 0.312540i | −0.766627 | − | 0.642093i | \(-0.778066\pi\) |
−0.297785 | + | 0.954633i | \(0.596248\pi\) | |||||||
\(164\) | −2.95964 | + | 2.56454i | −0.231109 | + | 0.200257i | ||||
\(165\) | 8.55706 | − | 5.49929i | 0.666166 | − | 0.428119i | ||||
\(166\) | −0.168430 | − | 1.17146i | −0.0130727 | − | 0.0909226i | ||||
\(167\) | 8.00526 | − | 12.4564i | 0.619466 | − | 0.963908i | −0.379780 | − | 0.925077i | \(-0.624000\pi\) |
0.999246 | − | 0.0388307i | \(-0.0123633\pi\) | |||||||
\(168\) | −2.13954 | + | 1.55640i | −0.165069 | + | 0.120079i | ||||
\(169\) | −2.66431 | + | 3.07478i | −0.204947 | + | 0.236522i | ||||
\(170\) | 0.912835 | − | 6.34891i | 0.0700113 | − | 0.486939i | ||||
\(171\) | −2.72040 | − | 5.95685i | −0.208034 | − | 0.455531i | ||||
\(172\) | −2.60549 | + | 8.87348i | −0.198667 | + | 0.676597i | ||||
\(173\) | 3.14475 | − | 10.7100i | 0.239091 | − | 0.814269i | −0.749286 | − | 0.662246i | \(-0.769603\pi\) |
0.988377 | − | 0.152022i | \(-0.0485785\pi\) | |||||||
\(174\) | 8.47231 | − | 3.86917i | 0.642284 | − | 0.293321i | ||||
\(175\) | 1.88995 | + | 1.45558i | 0.142867 | + | 0.110032i | ||||
\(176\) | −3.79726 | − | 3.29034i | −0.286229 | − | 0.248019i | ||||
\(177\) | 0.0108068 | − | 0.0236635i | 0.000812287 | − | 0.00177866i | ||||
\(178\) | 0.941921 | + | 0.605336i | 0.0706000 | + | 0.0453719i | ||||
\(179\) | 1.33075 | + | 9.25558i | 0.0994651 | + | 0.691795i | 0.977149 | + | 0.212555i | \(0.0681785\pi\) |
−0.877684 | + | 0.479240i | \(0.840912\pi\) | |||||||
\(180\) | 1.70307 | − | 1.09450i | 0.126939 | − | 0.0815789i | ||||
\(181\) | −8.32934 | − | 9.61258i | −0.619115 | − | 0.714497i | 0.356423 | − | 0.934325i | \(-0.383996\pi\) |
−0.975539 | + | 0.219827i | \(0.929451\pi\) | |||||||
\(182\) | 7.70255 | + | 1.78634i | 0.570951 | + | 0.132412i | ||||
\(183\) | − | 8.62619i | − | 0.637666i | ||||||
\(184\) | −4.30010 | − | 2.12348i | −0.317007 | − | 0.156545i | ||||
\(185\) | 18.1557i | 1.33484i | ||||||||
\(186\) | −8.55566 | + | 2.51217i | −0.627331 | + | 0.184201i | ||||
\(187\) | 12.0311 | − | 10.4250i | 0.879805 | − | 0.762355i | ||||
\(188\) | 4.53839 | + | 7.06188i | 0.330996 | + | 0.515040i | ||||
\(189\) | 0.958437 | − | 2.46605i | 0.0697161 | − | 0.179379i | ||||
\(190\) | −11.1528 | − | 7.16745i | −0.809107 | − | 0.519982i | ||||
\(191\) | 3.72300 | + | 1.70024i | 0.269387 | + | 0.123025i | 0.545529 | − | 0.838092i | \(-0.316329\pi\) |
−0.276142 | + | 0.961117i | \(0.589056\pi\) | |||||||
\(192\) | −0.755750 | − | 0.654861i | −0.0545415 | − | 0.0472605i | ||||
\(193\) | 2.56259 | − | 17.8232i | 0.184459 | − | 1.28294i | −0.661601 | − | 0.749856i | \(-0.730123\pi\) |
0.846061 | − | 0.533087i | \(-0.178968\pi\) | |||||||
\(194\) | −5.46590 | − | 11.9686i | −0.392429 | − | 0.859299i | ||||
\(195\) | −5.80509 | − | 1.70453i | −0.415711 | − | 0.122064i | ||||
\(196\) | 1.78755 | + | 6.76791i | 0.127682 | + | 0.483422i | ||||
\(197\) | −11.4795 | − | 25.1365i | −0.817879 | − | 1.79090i | −0.568926 | − | 0.822389i | \(-0.692641\pi\) |
−0.248953 | − | 0.968516i | \(-0.580086\pi\) | |||||||
\(198\) | 4.97335 | + | 0.715060i | 0.353441 | + | 0.0508171i | ||||
\(199\) | −1.23881 | + | 1.42966i | −0.0878166 | + | 0.101346i | −0.797957 | − | 0.602714i | \(-0.794086\pi\) |
0.710141 | + | 0.704060i | \(0.248631\pi\) | |||||||
\(200\) | −0.374553 | + | 0.820156i | −0.0264849 | + | 0.0579938i | ||||
\(201\) | −2.54701 | − | 1.63686i | −0.179652 | − | 0.115455i | ||||
\(202\) | 1.06230 | − | 0.152735i | 0.0747430 | − | 0.0107464i | ||||
\(203\) | −1.42139 | − | 24.6015i | −0.0997623 | − | 1.72669i | ||||
\(204\) | 2.39450 | − | 2.07485i | 0.167649 | − | 0.145268i | ||||
\(205\) | −2.23359 | − | 7.60691i | −0.156001 | − | 0.531290i | ||||
\(206\) | 15.3977 | 1.07281 | ||||||||
\(207\) | 4.76551 | − | 0.538425i | 0.331226 | − | 0.0374231i | ||||
\(208\) | 2.98856i | 0.207219i | ||||||||
\(209\) | −9.27000 | − | 31.5707i | −0.641220 | − | 2.18379i | ||||
\(210\) | −1.06680 | − | 5.24886i | −0.0736159 | − | 0.362206i | ||||
\(211\) | −10.2078 | + | 6.56018i | −0.702737 | + | 0.451621i | −0.842593 | − | 0.538550i | \(-0.818972\pi\) |
0.139857 | + | 0.990172i | \(0.455336\pi\) | |||||||
\(212\) | −3.59508 | + | 0.516894i | −0.246911 | + | 0.0355004i | ||||
\(213\) | 4.31533 | − | 6.71479i | 0.295682 | − | 0.460090i | ||||
\(214\) | 8.07886 | + | 3.68949i | 0.552260 | + | 0.252209i | ||||
\(215\) | −14.1493 | − | 12.2605i | −0.964975 | − | 0.836156i | ||||
\(216\) | 0.989821 | + | 0.142315i | 0.0673488 | + | 0.00968330i | ||||
\(217\) | −2.00493 | + | 23.5064i | −0.136104 | + | 1.59572i | ||||
\(218\) | −3.84617 | + | 13.0989i | −0.260496 | + | 0.887166i | ||||
\(219\) | 11.3242 | + | 3.32509i | 0.765219 | + | 0.224689i | ||||
\(220\) | 9.25259 | − | 4.22552i | 0.623809 | − | 0.284884i | ||||
\(221\) | −9.37250 | − | 1.34756i | −0.630463 | − | 0.0906469i | ||||
\(222\) | −5.87296 | + | 6.77776i | −0.394167 | + | 0.454893i | ||||
\(223\) | −26.1294 | − | 11.9329i | −1.74976 | − | 0.799087i | −0.988609 | − | 0.150506i | \(-0.951910\pi\) |
−0.761146 | − | 0.648580i | \(-0.775363\pi\) | |||||||
\(224\) | −2.33926 | + | 1.23607i | −0.156298 | + | 0.0825886i | ||||
\(225\) | −0.128316 | − | 0.892458i | −0.00855440 | − | 0.0594972i | ||||
\(226\) | 1.48064 | + | 2.30392i | 0.0984908 | + | 0.153255i | ||||
\(227\) | −7.95194 | − | 9.17703i | −0.527789 | − | 0.609101i | 0.427775 | − | 0.903885i | \(-0.359298\pi\) |
−0.955564 | + | 0.294784i | \(0.904752\pi\) | |||||||
\(228\) | −1.84496 | − | 6.28337i | −0.122186 | − | 0.416126i | ||||
\(229\) | 8.68759 | 0.574092 | 0.287046 | − | 0.957917i | \(-0.407327\pi\) | ||||
0.287046 | + | 0.957917i | \(0.407327\pi\) | |||||||
\(230\) | 7.52669 | − | 6.13281i | 0.496295 | − | 0.404385i | ||||
\(231\) | 6.53002 | − | 11.5792i | 0.429644 | − | 0.761854i | ||||
\(232\) | 8.93671 | − | 2.62406i | 0.586724 | − | 0.172278i | ||||
\(233\) | −5.84151 | − | 6.74146i | −0.382690 | − | 0.441648i | 0.531424 | − | 0.847106i | \(-0.321657\pi\) |
−0.914113 | + | 0.405459i | \(0.867112\pi\) | |||||||
\(234\) | −1.61574 | − | 2.51413i | −0.105624 | − | 0.164354i | ||||
\(235\) | −16.8211 | + | 2.41851i | −1.09729 | + | 0.157766i | ||||
\(236\) | 0.0140644 | − | 0.0218847i | 0.000915517 | − | 0.00142457i | ||||
\(237\) | 3.81354 | − | 8.35048i | 0.247716 | − | 0.542422i | ||||
\(238\) | −2.82169 | − | 7.89357i | −0.182903 | − | 0.511664i | ||||
\(239\) | −3.77053 | + | 26.2246i | −0.243896 | + | 1.69633i | 0.388309 | + | 0.921529i | \(0.373059\pi\) |
−0.632204 | + | 0.774802i | \(0.717850\pi\) | |||||||
\(240\) | 1.84150 | − | 0.840984i | 0.118868 | − | 0.0542853i | ||||
\(241\) | 8.41629 | + | 2.47125i | 0.542141 | + | 0.159187i | 0.541326 | − | 0.840813i | \(-0.317922\pi\) |
0.000814869 | 1.00000i | \(0.499741\pi\) | ||||||||
\(242\) | 13.6685 | + | 4.01343i | 0.878643 | + | 0.257993i | ||||
\(243\) | −0.909632 | + | 0.415415i | −0.0583529 | + | 0.0266489i | ||||
\(244\) | 1.22763 | − | 8.53839i | 0.0785913 | − | 0.546614i | ||||
\(245\) | −13.9664 | − | 2.39993i | −0.892280 | − | 0.153326i | ||||
\(246\) | 1.62683 | − | 3.56227i | 0.103723 | − | 0.227122i | ||||
\(247\) | −10.5809 | + | 16.4641i | −0.673244 | + | 1.04759i | ||||
\(248\) | −8.82609 | + | 1.26900i | −0.560457 | + | 0.0805816i | ||||
\(249\) | 0.639850 | + | 0.995625i | 0.0405488 | + | 0.0630952i | ||||
\(250\) | −7.82396 | − | 9.02933i | −0.494831 | − | 0.571065i | ||||
\(251\) | −18.3859 | + | 5.39859i | −1.16051 | + | 0.340756i | −0.804630 | − | 0.593777i | \(-0.797636\pi\) |
−0.355878 | + | 0.934533i | \(0.615818\pi\) | |||||||
\(252\) | 1.29964 | − | 2.30455i | 0.0818695 | − | 0.145173i | ||||
\(253\) | 24.0856 | + | 0.729850i | 1.51425 | + | 0.0458853i | ||||
\(254\) | −7.98189 | −0.500828 | ||||||||
\(255\) | 1.80709 | + | 6.15438i | 0.113164 | + | 0.385402i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | −9.79388 | − | 15.2396i | −0.610925 | − | 0.950618i | −0.999573 | − | 0.0292316i | \(-0.990694\pi\) |
0.388648 | − | 0.921387i | \(-0.372942\pi\) | |||||||
\(258\) | −1.31614 | − | 9.15396i | −0.0819394 | − | 0.569901i | ||||
\(259\) | 11.0854 | + | 20.9791i | 0.688814 | + | 1.30358i | ||||
\(260\) | −5.50342 | − | 2.51333i | −0.341308 | − | 0.155870i | ||||
\(261\) | −6.09937 | + | 7.03905i | −0.377542 | + | 0.435706i | ||||
\(262\) | 1.85781 | + | 0.267113i | 0.114776 | + | 0.0165023i | ||||
\(263\) | 6.89832 | − | 3.15036i | 0.425369 | − | 0.194259i | −0.191216 | − | 0.981548i | \(-0.561243\pi\) |
0.616585 | + | 0.787289i | \(0.288516\pi\) | |||||||
\(264\) | 4.82096 | + | 1.41556i | 0.296710 | + | 0.0871219i | ||||
\(265\) | 2.07154 | − | 7.05502i | 0.127254 | − | 0.433386i | ||||
\(266\) | −17.2634 | − | 1.47245i | −1.05849 | − | 0.0902814i | ||||
\(267\) | −1.10827 | − | 0.159345i | −0.0678249 | − | 0.00975175i | ||||
\(268\) | −2.28814 | − | 1.98268i | −0.139770 | − | 0.121111i | ||||
\(269\) | −4.04364 | − | 1.84667i | −0.246545 | − | 0.112593i | 0.288310 | − | 0.957537i | \(-0.406907\pi\) |
−0.534855 | + | 0.844944i | \(0.679634\pi\) | |||||||
\(270\) | −1.09450 | + | 1.70307i | −0.0666089 | + | 0.103645i | ||||
\(271\) | −15.8140 | + | 2.27371i | −0.960634 | + | 0.138118i | −0.604753 | − | 0.796413i | \(-0.706728\pi\) |
−0.355881 | + | 0.934531i | \(0.615819\pi\) | |||||||
\(272\) | 2.66541 | − | 1.71295i | 0.161614 | − | 0.103863i | ||||
\(273\) | −7.74856 | + | 1.57484i | −0.468964 | + | 0.0953139i | ||||
\(274\) | 2.25536 | + | 7.68104i | 0.136251 | + | 0.464028i | ||||
\(275\) | − | 4.53026i | − | 0.273185i | ||||||
\(276\) | 4.79363 | + | 0.145258i | 0.288543 | + | 0.00874353i | ||||
\(277\) | 4.95418 | 0.297668 | 0.148834 | − | 0.988862i | \(-0.452448\pi\) | ||||
0.148834 | + | 0.988862i | \(0.452448\pi\) | |||||||
\(278\) | 4.96319 | + | 16.9031i | 0.297672 | + | 1.01378i | ||||
\(279\) | 6.73891 | − | 5.83930i | 0.403448 | − | 0.349590i | ||||
\(280\) | −0.308947 | − | 5.34725i | −0.0184631 | − | 0.319559i | ||||
\(281\) | 10.5222 | − | 1.51286i | 0.627702 | − | 0.0902499i | 0.178879 | − | 0.983871i | \(-0.442753\pi\) |
0.448822 | + | 0.893621i | \(0.351844\pi\) | |||||||
\(282\) | −7.06188 | − | 4.53839i | −0.420529 | − | 0.270257i | ||||
\(283\) | −10.9754 | + | 24.0329i | −0.652422 | + | 1.42861i | 0.236995 | + | 0.971511i | \(0.423837\pi\) |
−0.889418 | + | 0.457095i | \(0.848890\pi\) | |||||||
\(284\) | 5.22702 | − | 6.03230i | 0.310167 | − | 0.357951i | ||||
\(285\) | 13.1224 | + | 1.88671i | 0.777303 | + | 0.111759i | ||||
\(286\) | −6.23787 | − | 13.6590i | −0.368853 | − | 0.807675i | ||||
\(287\) | −7.22552 | − | 7.42607i | −0.426509 | − | 0.438347i | ||||
\(288\) | 0.959493 | + | 0.281733i | 0.0565387 | + | 0.0166013i | ||||
\(289\) | −2.89186 | − | 6.33229i | −0.170110 | − | 0.372488i | ||||
\(290\) | −2.68344 | + | 18.6637i | −0.157577 | + | 1.09597i | ||||
\(291\) | 9.94391 | + | 8.61645i | 0.582922 | + | 0.505105i | ||||
\(292\) | 10.7357 | + | 4.90285i | 0.628262 | + | 0.286918i | ||||
\(293\) | 17.9533 | + | 11.5379i | 1.04884 | + | 0.674051i | 0.947158 | − | 0.320766i | \(-0.103940\pi\) |
0.101685 | + | 0.994817i | \(0.467577\pi\) | |||||||
\(294\) | −4.43751 | − | 5.41373i | −0.258801 | − | 0.315735i | ||||
\(295\) | 0.0284727 | + | 0.0443043i | 0.00165774 | + | 0.00257950i | ||||
\(296\) | −6.77776 | + | 5.87296i | −0.393949 | + | 0.341359i | ||||
\(297\) | −4.82096 | + | 1.41556i | −0.279741 | + | 0.0821393i | ||||
\(298\) | − | 10.6618i | − | 0.617621i | ||||||
\(299\) | −9.05348 | − | 11.1112i | −0.523576 | − | 0.642576i | ||||
\(300\) | − | 0.901635i | − | 0.0520559i | ||||||
\(301\) | −23.8356 | − | 5.52783i | −1.37386 | − | 0.318619i | ||||
\(302\) | 1.99260 | + | 2.29959i | 0.114661 | + | 0.132326i | ||||
\(303\) | −0.902852 | + | 0.580228i | −0.0518675 | + | 0.0333332i | ||||
\(304\) | −0.931968 | − | 6.48198i | −0.0534520 | − | 0.371767i | ||||
\(305\) | 14.6910 | + | 9.44133i | 0.841204 | + | 0.540609i | ||||
\(306\) | −1.31619 | + | 2.88206i | −0.0752417 | + | 0.164756i | ||||
\(307\) | −13.6861 | − | 11.8591i | −0.781109 | − | 0.676834i | 0.170085 | − | 0.985429i | \(-0.445596\pi\) |
−0.951194 | + | 0.308595i | \(0.900141\pi\) | |||||||
\(308\) | 8.11144 | − | 10.5320i | 0.462192 | − | 0.600117i | ||||
\(309\) | −14.0062 | + | 6.39644i | −0.796788 | + | 0.363881i | ||||
\(310\) | 5.08574 | − | 17.3204i | 0.288850 | − | 0.983734i | ||||
\(311\) | 4.64621 | − | 15.8235i | 0.263462 | − | 0.897270i | −0.716416 | − | 0.697674i | \(-0.754219\pi\) |
0.979878 | − | 0.199597i | \(-0.0639632\pi\) | |||||||
\(312\) | −1.24149 | − | 2.71849i | −0.0702856 | − | 0.153904i | ||||
\(313\) | 3.66602 | − | 25.4977i | 0.207216 | − | 1.44122i | −0.574972 | − | 0.818173i | \(-0.694987\pi\) |
0.782188 | − | 0.623043i | \(-0.214104\pi\) | |||||||
\(314\) | 7.16986 | − | 8.27446i | 0.404619 | − | 0.466955i | ||||
\(315\) | 3.15085 | + | 4.33137i | 0.177530 | + | 0.244045i | ||||
\(316\) | 4.96312 | − | 7.72276i | 0.279197 | − | 0.434439i | ||||
\(317\) | 1.84890 | + | 12.8594i | 0.103845 | + | 0.722256i | 0.973515 | + | 0.228623i | \(0.0734223\pi\) |
−0.869670 | + | 0.493633i | \(0.835669\pi\) | |||||||
\(318\) | 3.05547 | − | 1.96363i | 0.171342 | − | 0.110115i | ||||
\(319\) | −35.3676 | + | 30.6462i | −1.98021 | + | 1.71586i | ||||
\(320\) | 1.94244 | − | 0.570351i | 0.108586 | − | 0.0318836i | ||||
\(321\) | −8.88146 | −0.495715 | ||||||||
\(322\) | 4.95261 | − | 11.6821i | 0.275998 | − | 0.651018i | ||||
\(323\) | 20.7485 | 1.15448 | ||||||||
\(324\) | −0.959493 | + | 0.281733i | −0.0533052 | + | 0.0156518i | ||||
\(325\) | −2.03643 | + | 1.76458i | −0.112961 | + | 0.0978813i | ||||
\(326\) | 11.9149 | − | 7.65721i | 0.659903 | − | 0.424094i | ||||
\(327\) | −1.94286 | − | 13.5129i | −0.107440 | − | 0.747265i | ||||
\(328\) | 2.11724 | − | 3.29449i | 0.116905 | − | 0.181908i | ||||
\(329\) | −17.9603 | + | 13.0652i | −0.990181 | + | 0.720306i | ||||
\(330\) | −6.66111 | + | 7.68733i | −0.366682 | + | 0.423173i | ||||
\(331\) | 2.79698 | − | 19.4534i | 0.153736 | − | 1.06926i | −0.756151 | − | 0.654398i | \(-0.772922\pi\) |
0.909886 | − | 0.414858i | \(-0.136169\pi\) | |||||||
\(332\) | 0.491645 | + | 1.07655i | 0.0269825 | + | 0.0590834i | ||||
\(333\) | 2.52665 | − | 8.60498i | 0.138460 | − | 0.471550i | ||||
\(334\) | −4.17161 | + | 14.2072i | −0.228260 | + | 0.777383i | ||||
\(335\) | 5.57539 | − | 2.54619i | 0.304616 | − | 0.139113i | ||||
\(336\) | 1.61438 | − | 2.09613i | 0.0880717 | − | 0.114353i | ||||
\(337\) | −3.86724 | − | 3.35099i | −0.210662 | − | 0.182540i | 0.543138 | − | 0.839643i | \(-0.317236\pi\) |
−0.753800 | + | 0.657103i | \(0.771781\pi\) | |||||||
\(338\) | 1.69012 | − | 3.70086i | 0.0919307 | − | 0.201300i | ||||
\(339\) | −2.30392 | − | 1.48064i | −0.125132 | − | 0.0804174i | ||||
\(340\) | 0.912835 | + | 6.34891i | 0.0495055 | + | 0.344318i | ||||
\(341\) | 37.6904 | − | 24.2221i | 2.04105 | − | 1.31170i | ||||
\(342\) | 4.28844 | + | 4.94913i | 0.231892 | + | 0.267618i | ||||
\(343\) | −17.6036 | + | 5.75439i | −0.950506 | + | 0.310708i | ||||
\(344\) | − | 9.24809i | − | 0.498624i | ||||||
\(345\) | −4.29886 | + | 8.70530i | −0.231443 | + | 0.468678i | ||||
\(346\) | 11.1622i | 0.600082i | ||||||||
\(347\) | 16.3137 | − | 4.79013i | 0.875764 | − | 0.257148i | 0.187199 | − | 0.982322i | \(-0.440059\pi\) |
0.688565 | + | 0.725174i | \(0.258241\pi\) | |||||||
\(348\) | −7.03905 | + | 6.09937i | −0.377333 | + | 0.326961i | ||||
\(349\) | 15.7535 | + | 24.5129i | 0.843263 | + | 1.31214i | 0.948203 | + | 0.317664i | \(0.102899\pi\) |
−0.104940 | + | 0.994479i | \(0.533465\pi\) | |||||||
\(350\) | −2.22348 | − | 0.864161i | −0.118850 | − | 0.0461913i | ||||
\(351\) | 2.51413 | + | 1.61574i | 0.134195 | + | 0.0862416i | ||||
\(352\) | 4.57044 | + | 2.08725i | 0.243605 | + | 0.111251i | ||||
\(353\) | −18.5822 | − | 16.1016i | −0.989033 | − | 0.857002i | 0.000690163 | − | 1.00000i | \(-0.499780\pi\) |
−0.989723 | + | 0.142998i | \(0.954326\pi\) | |||||||
\(354\) | −0.00370224 | + | 0.0257496i | −0.000196772 | + | 0.00136858i | ||||
\(355\) | 6.71263 | + | 14.6986i | 0.356269 | + | 0.780121i | ||||
\(356\) | −1.07431 | − | 0.315446i | −0.0569383 | − | 0.0167186i | ||||
\(357\) | 5.84581 | + | 6.00807i | 0.309393 | + | 0.317981i | ||||
\(358\) | −3.88445 | − | 8.50575i | −0.205299 | − | 0.449543i | ||||
\(359\) | −15.4652 | − | 2.22357i | −0.816224 | − | 0.117355i | −0.278457 | − | 0.960449i | \(-0.589823\pi\) |
−0.537767 | + | 0.843093i | \(0.680732\pi\) | |||||||
\(360\) | −1.32573 | + | 1.52997i | −0.0698720 | + | 0.0806366i | ||||
\(361\) | 9.92202 | − | 21.7262i | 0.522212 | − | 1.14348i | ||||
\(362\) | 10.7001 | + | 6.87655i | 0.562386 | + | 0.361424i | ||||
\(363\) | −14.1005 | + | 2.02735i | −0.740085 | + | 0.106408i | ||||
\(364\) | −7.89382 | + | 0.456079i | −0.413748 | + | 0.0239050i | ||||
\(365\) | −18.0572 | + | 15.6466i | −0.945155 | + | 0.818982i | ||||
\(366\) | 2.43028 | + | 8.27677i | 0.127033 | + | 0.432634i | ||||
\(367\) | 9.15015 | 0.477634 | 0.238817 | − | 0.971065i | \(-0.423240\pi\) | ||||
0.238817 | + | 0.971065i | \(0.423240\pi\) | |||||||
\(368\) | 4.72417 | + | 0.825985i | 0.246264 | + | 0.0430574i | ||||
\(369\) | 3.91617i | 0.203868i | ||||||||
\(370\) | −5.11506 | − | 17.4203i | −0.265919 | − | 0.905638i | ||||
\(371\) | −1.91393 | − | 9.41696i | −0.0993665 | − | 0.488904i | ||||
\(372\) | 7.50133 | − | 4.82081i | 0.388926 | − | 0.249948i | ||||
\(373\) | −0.178738 | + | 0.0256987i | −0.00925472 | + | 0.00133063i | −0.146941 | − | 0.989145i | \(-0.546943\pi\) |
0.137686 | + | 0.990476i | \(0.456034\pi\) | |||||||
\(374\) | −8.60673 | + | 13.3923i | −0.445043 | + | 0.692501i | ||||
\(375\) | 10.8678 | + | 4.96318i | 0.561213 | + | 0.256297i | ||||
\(376\) | −6.34412 | − | 5.49721i | −0.327173 | − | 0.283497i | ||||
\(377\) | 27.5521 | + | 3.96139i | 1.41900 | + | 0.204022i | ||||
\(378\) | −0.224848 | + | 2.63618i | −0.0115649 | + | 0.135590i | ||||
\(379\) | 7.30503 | − | 24.8787i | 0.375234 | − | 1.27793i | −0.528169 | − | 0.849139i | \(-0.677121\pi\) |
0.903404 | − | 0.428791i | \(-0.141060\pi\) | |||||||
\(380\) | 12.7203 | + | 3.73502i | 0.652538 | + | 0.191603i | ||||
\(381\) | 7.26058 | − | 3.31580i | 0.371971 | − | 0.169873i | ||||
\(382\) | −4.05120 | − | 0.582475i | −0.207277 | − | 0.0298020i | ||||
\(383\) | −11.8738 | + | 13.7031i | −0.606721 | + | 0.700194i | −0.973129 | − | 0.230261i | \(-0.926042\pi\) |
0.366408 | + | 0.930454i | \(0.380588\pi\) | |||||||
\(384\) | 0.909632 | + | 0.415415i | 0.0464195 | + | 0.0211991i | ||||
\(385\) | 12.5731 | + | 23.7944i | 0.640783 | + | 1.21268i | ||||
\(386\) | 2.56259 | + | 17.8232i | 0.130432 | + | 0.907177i | ||||
\(387\) | 4.99990 | + | 7.77999i | 0.254159 | + | 0.395479i | ||||
\(388\) | 8.61645 | + | 9.94391i | 0.437434 | + | 0.504825i | ||||
\(389\) | 9.49221 | + | 32.3275i | 0.481274 | + | 1.63907i | 0.739625 | + | 0.673019i | \(0.235003\pi\) |
−0.258351 | + | 0.966051i | \(0.583179\pi\) | |||||||
\(390\) | 6.05016 | 0.306362 | ||||||||
\(391\) | −4.72056 | + | 14.4432i | −0.238729 | + | 0.730422i | ||||
\(392\) | −3.62189 | − | 5.99015i | −0.182933 | − | 0.302548i | ||||
\(393\) | −1.80088 | + | 0.528788i | −0.0908426 | + | 0.0266738i | ||||
\(394\) | 18.0963 | + | 20.8842i | 0.911676 | + | 1.05213i | ||||
\(395\) | 10.0475 | + | 15.6343i | 0.505547 | + | 0.786646i | ||||
\(396\) | −4.97335 | + | 0.715060i | −0.249920 | + | 0.0359331i | ||||
\(397\) | −14.5674 | + | 22.6674i | −0.731118 | + | 1.13764i | 0.254239 | + | 0.967141i | \(0.418175\pi\) |
−0.985358 | + | 0.170501i | \(0.945462\pi\) | |||||||
\(398\) | 0.785844 | − | 1.72076i | 0.0393908 | − | 0.0862539i | ||||
\(399\) | 16.3150 | − | 5.83208i | 0.816771 | − | 0.291969i | ||||
\(400\) | 0.128316 | − | 0.892458i | 0.00641580 | − | 0.0446229i | ||||
\(401\) | −3.56735 | + | 1.62915i | −0.178145 | + | 0.0813561i | −0.502491 | − | 0.864582i | \(-0.667583\pi\) |
0.324346 | + | 0.945938i | \(0.394856\pi\) | |||||||
\(402\) | 2.90500 | + | 0.852984i | 0.144888 | + | 0.0425430i | ||||
\(403\) | −25.5691 | − | 7.50776i | −1.27369 | − | 0.373988i | ||||
\(404\) | −0.976237 | + | 0.445832i | −0.0485696 | + | 0.0221810i | ||||
\(405\) | 0.288108 | − | 2.00384i | 0.0143162 | − | 0.0995714i | ||||
\(406\) | 8.29486 | + | 23.2045i | 0.411667 | + | 1.15162i | ||||
\(407\) | 18.7190 | − | 40.9889i | 0.927866 | − | 2.03174i | ||||
\(408\) | −1.71295 | + | 2.66541i | −0.0848039 | + | 0.131957i | ||||
\(409\) | −1.59002 | + | 0.228610i | −0.0786214 | + | 0.0113040i | −0.181513 | − | 0.983389i | \(-0.558100\pi\) |
0.102892 | + | 0.994693i | \(0.467190\pi\) | |||||||
\(410\) | 4.28623 | + | 6.66950i | 0.211682 | + | 0.329383i | ||||
\(411\) | −5.24236 | − | 6.05001i | −0.258587 | − | 0.298425i | ||||
\(412\) | −14.7740 | + | 4.33804i | −0.727862 | + | 0.213720i | ||||
\(413\) | 0.0599514 | + | 0.0338093i | 0.00295002 | + | 0.00166365i | ||||
\(414\) | −4.42078 | + | 1.85921i | −0.217270 | + | 0.0913754i | ||||
\(415\) | −2.39593 | −0.117612 | ||||||||
\(416\) | −0.841974 | − | 2.86750i | −0.0412812 | − | 0.140591i | ||||
\(417\) | −11.5365 | − | 13.3138i | −0.564943 | − | 0.651979i | ||||
\(418\) | 17.7890 | + | 27.6802i | 0.870089 | + | 1.35388i | ||||
\(419\) | −1.01595 | − | 7.06612i | −0.0496326 | − | 0.345202i | −0.999473 | − | 0.0324668i | \(-0.989664\pi\) |
0.949840 | − | 0.312736i | \(-0.101245\pi\) | |||||||
\(420\) | 2.50236 | + | 4.73569i | 0.122103 | + | 0.231078i | ||||
\(421\) | −28.7826 | − | 13.1446i | −1.40278 | − | 0.640627i | −0.436872 | − | 0.899524i | \(-0.643914\pi\) |
−0.965905 | + | 0.258897i | \(0.916641\pi\) | |||||||
\(422\) | 7.94613 | − | 9.17033i | 0.386812 | − | 0.446405i | ||||
\(423\) | 8.30902 | + | 1.19466i | 0.403999 | + | 0.0580862i | ||||
\(424\) | 3.30382 | − | 1.50881i | 0.160448 | − | 0.0732741i | ||||
\(425\) | 2.74100 | + | 0.804831i | 0.132958 | + | 0.0390400i | ||||
\(426\) | −2.24876 | + | 7.65856i | −0.108953 | + | 0.371058i | ||||
\(427\) | 22.7402 | + | 1.93958i | 1.10047 | + | 0.0938628i | ||||
\(428\) | −8.79106 | − | 1.26396i | −0.424932 | − | 0.0610960i | ||||
\(429\) | 11.3483 | + | 9.83338i | 0.547902 | + | 0.474760i | ||||
\(430\) | 17.0303 | + | 7.77750i | 0.821276 | + | 0.375064i | ||||
\(431\) | 0.175765 | − | 0.273496i | 0.00846633 | − | 0.0131739i | −0.836995 | − | 0.547211i | \(-0.815689\pi\) |
0.845461 | + | 0.534037i | \(0.179326\pi\) | |||||||
\(432\) | −0.989821 | + | 0.142315i | −0.0476228 | + | 0.00684713i | ||||
\(433\) | −18.9368 | + | 12.1699i | −0.910042 | + | 0.584849i | −0.909752 | − | 0.415151i | \(-0.863729\pi\) |
−0.000289984 | 1.00000i | \(0.500092\pi\) | ||||||||
\(434\) | −4.69881 | − | 23.1191i | −0.225550 | − | 1.10975i | ||||
\(435\) | −5.31225 | − | 18.0919i | −0.254703 | − | 0.867438i | ||||
\(436\) | − | 13.6518i | − | 0.653805i | ||||||
\(437\) | 23.1014 | + | 21.2761i | 1.10509 | + | 1.01777i | ||||
\(438\) | −11.8023 | −0.563935 | ||||||||
\(439\) | 2.17082 | + | 7.39314i | 0.103608 | + | 0.352856i | 0.994937 | − | 0.100501i | \(-0.0320446\pi\) |
−0.891329 | + | 0.453357i | \(0.850226\pi\) | |||||||
\(440\) | −7.68733 | + | 6.66111i | −0.366479 | + | 0.317556i | ||||
\(441\) | 6.28545 | + | 3.08110i | 0.299307 | + | 0.146719i | ||||
\(442\) | 9.37250 | − | 1.34756i | 0.445804 | − | 0.0640970i | ||||
\(443\) | 17.2158 | + | 11.0639i | 0.817945 | + | 0.525661i | 0.881426 | − | 0.472322i | \(-0.156584\pi\) |
−0.0634812 | + | 0.997983i | \(0.520220\pi\) | |||||||
\(444\) | 3.72555 | − | 8.15782i | 0.176807 | − | 0.387153i | ||||
\(445\) | 1.48437 | − | 1.71305i | 0.0703659 | − | 0.0812065i | ||||
\(446\) | 28.4329 | + | 4.08803i | 1.34634 | + | 0.193574i | ||||
\(447\) | 4.42907 | + | 9.69831i | 0.209488 | + | 0.458714i | ||||
\(448\) | 1.89626 | − | 1.84505i | 0.0895898 | − | 0.0871703i | ||||
\(449\) | 39.4617 | + | 11.5870i | 1.86231 | + | 0.546825i | 0.999119 | + | 0.0419551i | \(0.0133586\pi\) |
0.863195 | + | 0.504870i | \(0.168460\pi\) | |||||||
\(450\) | 0.374553 | + | 0.820156i | 0.0176566 | + | 0.0386625i | ||||
\(451\) | −2.80029 | + | 19.4765i | −0.131861 | + | 0.917111i | ||||
\(452\) | −2.06975 | − | 1.79345i | −0.0973531 | − | 0.0843569i | ||||
\(453\) | −2.76782 | − | 1.26402i | −0.130043 | − | 0.0593888i | ||||
\(454\) | 10.2153 | + | 6.56498i | 0.479428 | + | 0.308110i | ||||
\(455\) | 5.79870 | − | 14.9200i | 0.271847 | − | 0.699460i | ||||
\(456\) | 3.54046 | + | 5.50906i | 0.165797 | + | 0.257985i | ||||
\(457\) | 20.6494 | − | 17.8928i | 0.965938 | − | 0.836990i | −0.0207215 | − | 0.999785i | \(-0.506596\pi\) |
0.986660 | + | 0.162795i | \(0.0520509\pi\) | |||||||
\(458\) | −8.33568 | + | 2.44758i | −0.389501 | + | 0.114368i | ||||
\(459\) | − | 3.16838i | − | 0.147887i | ||||||
\(460\) | −5.49400 | + | 8.00490i | −0.256159 | + | 0.373230i | ||||
\(461\) | − | 32.2910i | − | 1.50394i | −0.659197 | − | 0.751970i | \(-0.729104\pi\) | ||
0.659197 | − | 0.751970i | \(-0.270896\pi\) | |||||||
\(462\) | −3.00327 | + | 12.9499i | −0.139725 | + | 0.602482i | ||||
\(463\) | 6.18922 | + | 7.14274i | 0.287637 | + | 0.331951i | 0.881117 | − | 0.472898i | \(-0.156792\pi\) |
−0.593480 | + | 0.804849i | \(0.702246\pi\) | |||||||
\(464\) | −7.83543 | + | 5.03553i | −0.363751 | + | 0.233768i | ||||
\(465\) | 2.56902 | + | 17.8679i | 0.119135 | + | 0.828605i | ||||
\(466\) | 7.50417 | + | 4.82264i | 0.347624 | + | 0.223404i | ||||
\(467\) | −3.24072 | + | 7.09618i | −0.149963 | + | 0.328372i | −0.969673 | − | 0.244406i | \(-0.921407\pi\) |
0.819710 | + | 0.572778i | \(0.194134\pi\) | |||||||
\(468\) | 2.25860 | + | 1.95709i | 0.104404 | + | 0.0904665i | ||||
\(469\) | 4.88776 | − | 6.34633i | 0.225696 | − | 0.293046i | ||||
\(470\) | 15.4584 | − | 7.05961i | 0.713042 | − | 0.325636i | ||||
\(471\) | −3.08460 | + | 10.5052i | −0.142131 | + | 0.484053i | ||||
\(472\) | −0.00732910 | + | 0.0249606i | −0.000337349 | + | 0.00114891i | ||||
\(473\) | 19.3031 | + | 42.2678i | 0.887557 | + | 1.94348i | ||||
\(474\) | −1.30646 | + | 9.08663i | −0.0600077 | + | 0.417363i | ||||
\(475\) | 3.86661 | − | 4.46231i | 0.177412 | − | 0.204745i | ||||
\(476\) | 4.93127 | + | 6.77886i | 0.226024 | + | 0.310708i | ||||
\(477\) | −1.96363 | + | 3.05547i | −0.0899085 | + | 0.139900i | ||||
\(478\) | −3.77053 | − | 26.2246i | −0.172460 | − | 1.19949i | ||||
\(479\) | −12.6092 | + | 8.10345i | −0.576130 | + | 0.370256i | −0.796022 | − | 0.605268i | \(-0.793066\pi\) |
0.219892 | + | 0.975524i | \(0.429430\pi\) | |||||||
\(480\) | −1.52997 | + | 1.32573i | −0.0698333 | + | 0.0605109i | ||||
\(481\) | −25.7165 | + | 7.55104i | −1.17257 | + | 0.344298i | ||||
\(482\) | −8.77160 | −0.399536 | ||||||||
\(483\) | 0.347871 | + | 12.6838i | 0.0158287 | + | 0.577133i | ||||
\(484\) | −14.2455 | −0.647524 | ||||||||
\(485\) | −25.5580 | + | 7.50450i | −1.16053 | + | 0.340762i | ||||
\(486\) | 0.755750 | − | 0.654861i | 0.0342815 | − | 0.0297051i | ||||
\(487\) | −9.40429 | + | 6.04377i | −0.426149 | + | 0.273869i | −0.736086 | − | 0.676888i | \(-0.763328\pi\) |
0.309937 | + | 0.950757i | \(0.399692\pi\) | |||||||
\(488\) | 1.22763 | + | 8.53839i | 0.0555724 | + | 0.386515i | ||||
\(489\) | −7.65721 | + | 11.9149i | −0.346271 | + | 0.538808i | ||||
\(490\) | 14.0768 | − | 1.63207i | 0.635925 | − | 0.0737295i | ||||
\(491\) | −17.3196 | + | 19.9878i | −0.781621 | + | 0.902039i | −0.997225 | − | 0.0744418i | \(-0.976282\pi\) |
0.215604 | + | 0.976481i | \(0.430828\pi\) | |||||||
\(492\) | −0.557329 | + | 3.87631i | −0.0251263 | + | 0.174757i | ||||
\(493\) | −12.2590 | − | 26.8435i | −0.552118 | − | 1.20897i | ||||
\(494\) | 5.51378 | − | 18.7782i | 0.248077 | − | 0.844872i | ||||
\(495\) | 2.86572 | − | 9.75976i | 0.128805 | − | 0.438669i | ||||
\(496\) | 8.11105 | − | 3.70419i | 0.364197 | − | 0.166323i | ||||
\(497\) | 16.7311 | + | 12.8858i | 0.750492 | + | 0.578007i | ||||
\(498\) | −0.894431 | − | 0.775029i | −0.0400804 | − | 0.0347299i | ||||
\(499\) | −11.0214 | + | 24.1335i | −0.493386 | + | 1.08036i | 0.485177 | + | 0.874416i | \(0.338755\pi\) |
−0.978563 | + | 0.205949i | \(0.933972\pi\) | |||||||
\(500\) | 10.0509 | + | 6.45932i | 0.449490 | + | 0.288869i | ||||
\(501\) | −2.10725 | − | 14.6563i | −0.0941452 | − | 0.654794i | ||||
\(502\) | 16.1202 | − | 10.3598i | 0.719479 | − | 0.462381i | ||||
\(503\) | −25.8264 | − | 29.8052i | −1.15154 | − | 1.32895i | −0.935813 | − | 0.352497i | \(-0.885333\pi\) |
−0.215729 | − | 0.976453i | \(-0.569213\pi\) | |||||||
\(504\) | −0.597727 | + | 2.57735i | −0.0266249 | + | 0.114804i | ||||
\(505\) | − | 2.17268i | − | 0.0966828i | ||||||
\(506\) | −23.3155 | + | 6.08540i | −1.03650 | + | 0.270529i | ||||
\(507\) | 4.06852i | 0.180689i | ||||||||
\(508\) | 7.65856 | − | 2.24876i | 0.339794 | − | 0.0997725i | ||||
\(509\) | −8.29370 | + | 7.18653i | −0.367612 | + | 0.318537i | −0.819004 | − | 0.573788i | \(-0.805473\pi\) |
0.451392 | + | 0.892326i | \(0.350928\pi\) | |||||||
\(510\) | −3.46778 | − | 5.39597i | −0.153556 | − | 0.238937i | ||||
\(511\) | −11.3118 | + | 29.1050i | −0.500403 | + | 1.28753i | ||||
\(512\) | 0.841254 | + | 0.540641i | 0.0371785 | + | 0.0238932i | ||||
\(513\) | −5.95685 | − | 2.72040i | −0.263001 | − | 0.120109i | ||||
\(514\) | 13.6906 | + | 11.8630i | 0.603868 | + | 0.523255i | ||||
\(515\) | 4.43621 | − | 30.8545i | 0.195483 | − | 1.35961i | ||||
\(516\) | 3.84180 | + | 8.41236i | 0.169126 | + | 0.370334i | ||||
\(517\) | 40.4694 | + | 11.8829i | 1.77984 | + | 0.522609i | ||||
\(518\) | −16.5469 | − | 17.0061i | −0.727028 | − | 0.747207i | ||||
\(519\) | −4.63694 | − | 10.1535i | −0.203539 | − | 0.445688i | ||||
\(520\) | 5.98858 | + | 0.861028i | 0.262617 | + | 0.0377586i | ||||
\(521\) | 4.49360 | − | 5.18589i | 0.196868 | − | 0.227198i | −0.648729 | − | 0.761019i | \(-0.724699\pi\) |
0.845597 | + | 0.533822i | \(0.179245\pi\) | |||||||
\(522\) | 3.86917 | − | 8.47231i | 0.169349 | − | 0.370823i | ||||
\(523\) | −24.8058 | − | 15.9417i | −1.08468 | − | 0.697082i | −0.129046 | − | 0.991639i | \(-0.541192\pi\) |
−0.955634 | + | 0.294557i | \(0.904828\pi\) | |||||||
\(524\) | −1.85781 | + | 0.267113i | −0.0811588 | + | 0.0116689i | ||||
\(525\) | 2.38153 | − | 0.137597i | 0.103938 | − | 0.00600523i | ||||
\(526\) | −5.73133 | + | 4.96623i | −0.249898 | + | 0.216538i | ||||
\(527\) | 7.95950 | + | 27.1076i | 0.346721 | + | 1.18082i | ||||
\(528\) | −5.02449 | −0.218663 | ||||||||
\(529\) | −20.0662 | + | 11.2404i | −0.872445 | + | 0.488712i | ||||
\(530\) | 7.35286i | 0.319388i | ||||||||
\(531\) | −0.00732910 | − | 0.0249606i | −0.000318056 | − | 0.00108320i | ||||
\(532\) | 16.9789 | − | 3.45085i | 0.736130 | − | 0.149613i | ||||
\(533\) | 9.84577 | − | 6.32749i | 0.426468 | − | 0.274074i | ||||
\(534\) | 1.10827 | − | 0.159345i | 0.0479594 | − | 0.00689553i | ||||
\(535\) | 9.72072 | − | 15.1257i | 0.420264 | − | 0.653943i | ||||
\(536\) | 2.75404 | + | 1.25773i | 0.118956 | + | 0.0543255i | ||||
\(537\) | 7.06683 | + | 6.12345i | 0.304956 | + | 0.264246i | ||||
\(538\) | 4.40011 | + | 0.632641i | 0.189702 | + | 0.0272751i | ||||
\(539\) | 29.0566 | + | 19.8179i | 1.25155 | + | 0.853615i | ||||
\(540\) | 0.570351 | − | 1.94244i | 0.0245440 | − | 0.0835892i | ||||
\(541\) | 3.81753 | + | 1.12093i | 0.164128 | + | 0.0481925i | 0.362764 | − | 0.931881i | \(-0.381833\pi\) |
−0.198636 | + | 0.980073i | \(0.563651\pi\) | |||||||
\(542\) | 14.5329 | − | 6.63694i | 0.624240 | − | 0.285081i | ||||
\(543\) | −12.5898 | − | 1.81014i | −0.540280 | − | 0.0776805i | ||||
\(544\) | −2.07485 | + | 2.39450i | −0.0889583 | + | 0.102663i | ||||
\(545\) | 25.1398 | + | 11.4810i | 1.07687 | + | 0.491791i | ||||
\(546\) | 6.99101 | − | 3.69407i | 0.299187 | − | 0.158092i | ||||
\(547\) | −1.09182 | − | 7.59378i | −0.0466829 | − | 0.324686i | −0.999759 | − | 0.0219556i | \(-0.993011\pi\) |
0.953076 | − | 0.302731i | \(-0.0978983\pi\) | |||||||
\(548\) | −4.32800 | − | 6.73449i | −0.184883 | − | 0.287683i | ||||
\(549\) | −5.64895 | − | 6.51924i | −0.241091 | − | 0.278234i | ||||
\(550\) | 1.27632 | + | 4.34675i | 0.0544225 | + | 0.185346i | ||||
\(551\) | −60.9939 | −2.59843 | ||||||||
\(552\) | −4.64038 | + | 1.21115i | −0.197508 | + | 0.0515499i | ||||
\(553\) | 21.1559 | + | 11.9308i | 0.899641 | + | 0.507347i | ||||
\(554\) | −4.75350 | + | 1.39575i | −0.201957 | + | 0.0592999i | ||||
\(555\) | 11.8895 | + | 13.7212i | 0.504680 | + | 0.582432i | ||||
\(556\) | −9.52429 | − | 14.8201i | −0.403920 | − | 0.628511i | ||||
\(557\) | 37.1456 | − | 5.34073i | 1.57391 | − | 0.226294i | 0.700634 | − | 0.713521i | \(-0.252901\pi\) |
0.873276 | + | 0.487227i | \(0.161991\pi\) | |||||||
\(558\) | −4.82081 | + | 7.50133i | −0.204081 | + | 0.317557i | ||||
\(559\) | 11.4814 | − | 25.1408i | 0.485613 | − | 1.06334i | ||||
\(560\) | 1.80293 | + | 5.04361i | 0.0761876 | + | 0.213131i | ||||
\(561\) | 2.26558 | − | 15.7575i | 0.0956528 | − | 0.665280i | ||||
\(562\) | −9.66975 | + | 4.41603i | −0.407894 | + | 0.186279i | ||||
\(563\) | 23.4901 | + | 6.89731i | 0.989989 | + | 0.290687i | 0.736342 | − | 0.676610i | \(-0.236552\pi\) |
0.253647 | + | 0.967297i | \(0.418370\pi\) | |||||||
\(564\) | 8.05443 | + | 2.36499i | 0.339153 | + | 0.0995843i | ||||
\(565\) | 5.04327 | − | 2.30318i | 0.212172 | − | 0.0968956i | ||||
\(566\) | 3.76002 | − | 26.1515i | 0.158045 | − | 1.09923i | ||||
\(567\) | −0.890580 | − | 2.49136i | −0.0374008 | − | 0.104627i | ||||
\(568\) | −3.31579 | + | 7.26057i | −0.139128 | + | 0.304647i | ||||
\(569\) | 18.5201 | − | 28.8179i | 0.776405 | − | 1.20811i | −0.197311 | − | 0.980341i | \(-0.563221\pi\) |
0.973715 | − | 0.227768i | \(-0.0731429\pi\) | |||||||
\(570\) | −13.1224 | + | 1.88671i | −0.549636 | + | 0.0790258i | ||||
\(571\) | −3.98556 | − | 6.20166i | −0.166791 | − | 0.259531i | 0.747790 | − | 0.663936i | \(-0.231115\pi\) |
−0.914580 | + | 0.404404i | \(0.867479\pi\) | |||||||
\(572\) | 9.83338 | + | 11.3483i | 0.411154 | + | 0.474497i | ||||
\(573\) | 3.92707 | − | 1.15309i | 0.164056 | − | 0.0481711i | ||||
\(574\) | 9.02500 | + | 5.08960i | 0.376696 | + | 0.212436i | ||||
\(575\) | 2.22653 | + | 3.70679i | 0.0928526 | + | 0.154584i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −8.03244 | − | 27.3560i | −0.334395 | − | 1.13884i | −0.939457 | − | 0.342666i | \(-0.888670\pi\) |
0.605062 | − | 0.796178i | \(-0.293148\pi\) | |||||||
\(578\) | 4.55873 | + | 5.26106i | 0.189618 | + | 0.218831i | ||||
\(579\) | −9.73504 | − | 15.1480i | −0.404574 | − | 0.629530i | ||||
\(580\) | −2.68344 | − | 18.6637i | −0.111424 | − | 0.774969i | ||||
\(581\) | −2.76852 | + | 1.46289i | −0.114857 | + | 0.0606911i | ||||
\(582\) | −11.9686 | − | 5.46590i | −0.496116 | − | 0.226569i | ||||
\(583\) | −11.9507 | + | 13.7918i | −0.494946 | + | 0.571198i | ||||
\(584\) | −11.6822 | − | 1.67964i | −0.483411 | − | 0.0695040i | ||||
\(585\) | −5.50342 | + | 2.51333i | −0.227538 | + | 0.103913i | ||||
\(586\) | −20.4767 | − | 6.01249i | −0.845883 | − | 0.248374i | ||||
\(587\) | −1.17151 | + | 3.98980i | −0.0483534 | + | 0.164677i | −0.980130 | − | 0.198355i | \(-0.936440\pi\) |
0.931777 | + | 0.363032i | \(0.118258\pi\) | |||||||
\(588\) | 5.78298 | + | 3.94425i | 0.238486 | + | 0.162658i | ||||
\(589\) | 57.7988 | + | 8.31022i | 2.38156 | + | 0.342417i | ||||
\(590\) | −0.0398013 | − | 0.0344880i | −0.00163859 | − | 0.00141985i | ||||
\(591\) | −25.1365 | − | 11.4795i | −1.03398 | − | 0.472202i | ||||
\(592\) | 4.84861 | − | 7.54458i | 0.199277 | − | 0.310080i | ||||
\(593\) | −18.3473 | + | 2.63794i | −0.753432 | + | 0.108327i | −0.508321 | − | 0.861168i | \(-0.669734\pi\) |
−0.245111 | + | 0.969495i | \(0.578825\pi\) | |||||||
\(594\) | 4.22687 | − | 2.71645i | 0.173431 | − | 0.111457i | ||||
\(595\) | −16.6304 | + | 3.38001i | −0.681778 | + | 0.138567i | ||||
\(596\) | 3.00377 | + | 10.2299i | 0.123039 | + | 0.419034i | ||||
\(597\) | 1.89171i | 0.0774225i | ||||||||
\(598\) | 11.8171 | + | 8.11044i | 0.483239 | + | 0.331661i | ||||
\(599\) | 4.68156 | 0.191283 | 0.0956416 | − | 0.995416i | \(-0.469510\pi\) | ||||
0.0956416 | + | 0.995416i | \(0.469510\pi\) | |||||||
\(600\) | 0.254020 | + | 0.865112i | 0.0103703 | + | 0.0353181i | ||||
\(601\) | 10.1202 | − | 8.76921i | 0.412812 | − | 0.357703i | −0.423558 | − | 0.905869i | \(-0.639219\pi\) |
0.836370 | + | 0.548165i | \(0.184674\pi\) | |||||||
\(602\) | 24.4274 | − | 1.41134i | 0.995587 | − | 0.0575218i | ||||
\(603\) | −2.99682 | + | 0.430878i | −0.122040 | + | 0.0175467i | ||||
\(604\) | −2.55976 | − | 1.64506i | −0.104155 | − | 0.0669364i | ||||
\(605\) | 11.9802 | − | 26.2331i | 0.487066 | − | 1.06653i | ||||
\(606\) | 0.702811 | − | 0.811087i | 0.0285497 | − | 0.0329482i | ||||
\(607\) | 43.9171 | + | 6.31432i | 1.78254 | + | 0.256290i | 0.953175 | − | 0.302419i | \(-0.0977942\pi\) |
0.829364 | + | 0.558709i | \(0.188703\pi\) | |||||||
\(608\) | 2.72040 | + | 5.95685i | 0.110327 | + | 0.241582i | ||||
\(609\) | −17.1848 | − | 17.6617i | −0.696362 | − | 0.715690i | ||||
\(610\) | −16.7558 | − | 4.91996i | −0.678424 | − | 0.199203i | ||||
\(611\) | −10.4217 | − | 22.8203i | −0.421615 | − | 0.923209i | ||||
\(612\) | 0.450907 | − | 3.13613i | 0.0182268 | − | 0.126770i | ||||
\(613\) | −9.51893 | − | 8.24820i | −0.384466 | − | 0.333142i | 0.441089 | − | 0.897463i | \(-0.354592\pi\) |
−0.825555 | + | 0.564322i | \(0.809138\pi\) | |||||||
\(614\) | 16.4728 | + | 7.52289i | 0.664790 | + | 0.303599i | ||||
\(615\) | −6.66950 | − | 4.28623i | −0.268940 | − | 0.172837i | ||||
\(616\) | −4.81566 | + | 12.3906i | −0.194029 | + | 0.499233i | ||||
\(617\) | −6.88781 | − | 10.7176i | −0.277293 | − | 0.431476i | 0.674474 | − | 0.738299i | \(-0.264371\pi\) |
−0.951767 | + | 0.306823i | \(0.900734\pi\) | |||||||
\(618\) | 11.6368 | − | 10.0834i | 0.468101 | − | 0.405612i | ||||
\(619\) | −23.8327 | + | 6.99790i | −0.957916 | + | 0.281270i | −0.723079 | − | 0.690765i | \(-0.757274\pi\) |
−0.234837 | + | 0.972035i | \(0.575456\pi\) | |||||||
\(620\) | 18.0517i | 0.724972i | ||||||||
\(621\) | 3.24894 | − | 3.52766i | 0.130375 | − | 0.141560i | ||||
\(622\) | 16.4916i | 0.661251i | ||||||||
\(623\) | 0.669253 | − | 2.88576i | 0.0268131 | − | 0.115616i | ||||
\(624\) | 1.95709 | + | 2.25860i | 0.0783463 | + | 0.0904164i | ||||
\(625\) | −16.5549 | + | 10.6392i | −0.662197 | + | 0.425568i | ||||
\(626\) | 3.66602 | + | 25.4977i | 0.146524 | + | 1.01909i | ||||
\(627\) | −27.6802 | − | 17.7890i | −1.10544 | − | 0.710424i | ||||
\(628\) | −4.54825 | + | 9.95927i | −0.181495 | + | 0.397418i | ||||
\(629\) | 21.4745 | + | 18.6078i | 0.856244 | + | 0.741940i | ||||
\(630\) | −4.24350 | − | 3.26822i | −0.169065 | − | 0.130209i | ||||
\(631\) | 4.48677 | − | 2.04904i | 0.178616 | − | 0.0815710i | −0.324100 | − | 0.946023i | \(-0.605061\pi\) |
0.502716 | + | 0.864452i | \(0.332334\pi\) | |||||||
\(632\) | −2.58632 | + | 8.80821i | −0.102878 | + | 0.350372i | ||||
\(633\) | −3.41857 | + | 11.6426i | −0.135876 | + | 0.462750i | ||||
\(634\) | −5.39692 | − | 11.8176i | −0.214339 | − | 0.469337i | ||||
\(635\) | −2.29965 | + | 15.9944i | −0.0912587 | + | 0.634718i | ||||
\(636\) | −2.37848 | + | 2.74492i | −0.0943130 | + | 0.108843i | ||||
\(637\) | −2.40933 | − | 20.7807i | −0.0954609 | − | 0.823361i | ||||
\(638\) | 25.3010 | − | 39.3691i | 1.00167 | − | 1.55864i | ||||
\(639\) | −1.13594 | − | 7.90064i | −0.0449371 | − | 0.312544i | ||||
\(640\) | −1.70307 | + | 1.09450i | −0.0673197 | + | 0.0432638i | ||||
\(641\) | −3.54803 | + | 3.07439i | −0.140139 | + | 0.121431i | −0.722109 | − | 0.691779i | \(-0.756827\pi\) |
0.581971 | + | 0.813210i | \(0.302282\pi\) | |||||||
\(642\) | 8.52170 | − | 2.50220i | 0.336325 | − | 0.0987538i | ||||
\(643\) | 15.7800 | 0.622303 | 0.311152 | − | 0.950360i | \(-0.399285\pi\) | ||||
0.311152 | + | 0.950360i | \(0.399285\pi\) | |||||||
\(644\) | −1.46076 | + | 12.6042i | −0.0575622 | + | 0.496676i | ||||
\(645\) | −18.7222 | −0.737187 | ||||||||
\(646\) | −19.9081 | + | 5.84554i | −0.783273 | + | 0.229990i | ||||
\(647\) | 6.51246 | − | 5.64308i | 0.256031 | − | 0.221852i | −0.517382 | − | 0.855755i | \(-0.673093\pi\) |
0.773413 | + | 0.633902i | \(0.218548\pi\) | |||||||
\(648\) | 0.841254 | − | 0.540641i | 0.0330476 | − | 0.0212384i | ||||
\(649\) | −0.0186019 | − | 0.129379i | −0.000730186 | − | 0.00507856i | ||||
\(650\) | 1.45680 | − | 2.26683i | 0.0571406 | − | 0.0889125i | ||||
\(651\) | 13.8782 | + | 19.0779i | 0.543930 | + | 0.747723i | ||||
\(652\) | −9.27493 | + | 10.7038i | −0.363234 | + | 0.419195i | ||||
\(653\) | 1.63415 | − | 11.3658i | 0.0639494 | − | 0.444778i | −0.932541 | − | 0.361065i | \(-0.882413\pi\) |
0.996490 | − | 0.0837125i | \(-0.0266777\pi\) | |||||||
\(654\) | 5.67118 | + | 12.4182i | 0.221761 | + | 0.485588i | ||||
\(655\) | 1.07050 | − | 3.64579i | 0.0418279 | − | 0.142453i | ||||
\(656\) | −1.10331 | + | 3.75754i | −0.0430771 | + | 0.146707i | ||||
\(657\) | 10.7357 | − | 4.90285i | 0.418841 | − | 0.191278i | ||||
\(658\) | 13.5519 | − | 17.5959i | 0.528307 | − | 0.685961i | ||||
\(659\) | 21.3643 | + | 18.5123i | 0.832235 | + | 0.721136i | 0.962774 | − | 0.270307i | \(-0.0871253\pi\) |
−0.130539 | + | 0.991443i | \(0.541671\pi\) | |||||||
\(660\) | 4.22552 | − | 9.25259i | 0.164478 | − | 0.360156i | ||||
\(661\) | −5.83795 | − | 3.75182i | −0.227070 | − | 0.145929i | 0.422160 | − | 0.906522i | \(-0.361272\pi\) |
−0.649230 | + | 0.760593i | \(0.724909\pi\) | |||||||
\(662\) | 2.79698 | + | 19.4534i | 0.108708 | + | 0.756078i | ||||
\(663\) | −7.96573 | + | 5.11926i | −0.309363 | + | 0.198816i | ||||
\(664\) | −0.775029 | − | 0.894431i | −0.0300770 | − | 0.0347107i | ||||
\(665\) | −7.92426 | + | 34.1687i | −0.307290 | + | 1.32501i | ||||
\(666\) | 8.96826i | 0.347513i | ||||||||
\(667\) | 13.8769 | − | 42.4581i | 0.537315 | − | 1.64399i | ||||
\(668\) | − | 14.8070i | − | 0.572900i | ||||||
\(669\) | −27.5617 | + | 8.09284i | −1.06560 | + | 0.312887i | ||||
\(670\) | −4.63220 | + | 4.01382i | −0.178957 | + | 0.155067i | ||||
\(671\) | −23.4326 | − | 36.4618i | −0.904604 | − | 1.40759i | ||||
\(672\) | −0.958437 | + | 2.46605i | −0.0369725 | + | 0.0951299i | ||||
\(673\) | 42.3036 | + | 27.1869i | 1.63068 | + | 1.04798i | 0.948491 | + | 0.316806i | \(0.102610\pi\) |
0.682194 | + | 0.731172i | \(0.261026\pi\) | |||||||
\(674\) | 4.65468 | + | 2.12572i | 0.179291 | + | 0.0818797i | ||||
\(675\) | −0.681410 | − | 0.590445i | −0.0262275 | − | 0.0227262i | ||||
\(676\) | −0.579011 | + | 4.02711i | −0.0222697 | + | 0.154889i | ||||
\(677\) | 18.1032 | + | 39.6406i | 0.695764 | + | 1.52351i | 0.845033 | + | 0.534715i | \(0.179581\pi\) |
−0.149268 | + | 0.988797i | \(0.547692\pi\) | |||||||
\(678\) | 2.62774 | + | 0.771575i | 0.100918 | + | 0.0296322i | ||||
\(679\) | −24.9504 | + | 24.2765i | −0.957507 | + | 0.931648i | ||||
\(680\) | −2.66455 | − | 5.83456i | −0.102181 | − | 0.223745i | ||||
\(681\) | −12.0194 | − | 1.72812i | −0.460583 | − | 0.0662218i | ||||
\(682\) | −29.3395 | + | 33.8596i | −1.12347 | + | 1.29655i | ||||
\(683\) | −14.7317 | + | 32.2580i | −0.563695 | + | 1.23432i | 0.386393 | + | 0.922334i | \(0.373721\pi\) |
−0.950087 | + | 0.311985i | \(0.899006\pi\) | |||||||
\(684\) | −5.50906 | − | 3.54046i | −0.210644 | − | 0.135373i | ||||
\(685\) | 16.0413 | − | 2.30639i | 0.612907 | − | 0.0881228i | ||||
\(686\) | 15.2693 | − | 10.4808i | 0.582986 | − | 0.400159i | ||||
\(687\) | 6.56564 | − | 5.68916i | 0.250495 | − | 0.217055i | ||||
\(688\) | 2.60549 | + | 8.87348i | 0.0993333 | + | 0.338298i | ||||
\(689\) | 10.8546 | 0.413526 | ||||||||
\(690\) | 1.67216 | − | 9.56380i | 0.0636580 | − | 0.364088i | ||||
\(691\) | − | 29.5310i | − | 1.12341i | −0.827337 | − | 0.561706i | \(-0.810145\pi\) | ||
0.827337 | − | 0.561706i | \(-0.189855\pi\) | |||||||
\(692\) | −3.14475 | − | 10.7100i | −0.119545 | − | 0.407134i | ||||
\(693\) | −2.64770 | − | 13.0272i | −0.100578 | − | 0.494863i | ||||
\(694\) | −14.3033 | + | 9.19219i | −0.542947 | + | 0.348931i | ||||
\(695\) | 35.3009 | − | 5.07550i | 1.33904 | − | 0.192525i | ||||
\(696\) | 5.03553 | − | 7.83543i | 0.190871 | − | 0.297001i | ||||
\(697\) | −11.2866 | − | 5.15443i | −0.427511 | − | 0.195238i | ||||
\(698\) | −22.0214 | − | 19.0816i | −0.833522 | − | 0.722251i | ||||
\(699\) | −8.82943 | − | 1.26948i | −0.333960 | − | 0.0480162i | ||||
\(700\) | 2.37687 | + | 0.202731i | 0.0898373 | + | 0.00766249i | ||||
\(701\) | −9.84353 | + | 33.5240i | −0.371785 | + | 1.26618i | 0.535094 | + | 0.844792i | \(0.320276\pi\) |
−0.906879 | + | 0.421391i | \(0.861542\pi\) | |||||||
\(702\) | −2.86750 | − | 0.841974i | −0.108227 | − | 0.0317783i | ||||
\(703\) | 53.4225 | − | 24.3973i | 2.01487 | − | 0.920160i | ||||
\(704\) | −4.97335 | − | 0.715060i | −0.187440 | − | 0.0269498i | ||||
\(705\) | −11.1288 | + | 12.8433i | −0.419134 | + | 0.483706i | ||||
\(706\) | 22.3659 | + | 10.2142i | 0.841751 | + | 0.384415i | ||||
\(707\) | −1.32658 | − | 2.51054i | −0.0498912 | − | 0.0944187i | ||||
\(708\) | −0.00370224 | − | 0.0257496i | −0.000139139 | − | 0.000967730i | ||||
\(709\) | −18.8460 | − | 29.3250i | −0.707778 | − | 1.10132i | −0.989876 | − | 0.141938i | \(-0.954667\pi\) |
0.282098 | − | 0.959386i | \(-0.408970\pi\) | |||||||
\(710\) | −10.5818 | − | 12.2120i | −0.397128 | − | 0.458310i | ||||
\(711\) | −2.58632 | − | 8.80821i | −0.0969947 | − | 0.330334i | ||||
\(712\) | 1.11966 | 0.0419612 | ||||||||
\(713\) | −18.9347 | + | 38.3433i | −0.709112 | + | 1.43597i | ||||
\(714\) | −7.30168 | − | 4.11774i | −0.273259 | − | 0.154103i | ||||
\(715\) | −29.1676 | + | 8.56439i | −1.09081 | + | 0.320290i | ||||
\(716\) | 6.12345 | + | 7.06683i | 0.228844 | + | 0.264100i | ||||
\(717\) | 14.3239 | + | 22.2884i | 0.534936 | + | 0.832377i | ||||
\(718\) | 15.4652 | − | 2.22357i | 0.577158 | − | 0.0829828i | ||||
\(719\) | 21.7866 | − | 33.9006i | 0.812502 | − | 1.26428i | −0.148823 | − | 0.988864i | \(-0.547549\pi\) |
0.961326 | − | 0.275415i | \(-0.0888151\pi\) | |||||||
\(720\) | 0.840984 | − | 1.84150i | 0.0313416 | − | 0.0686285i | ||||
\(721\) | −13.7129 | − | 38.3612i | −0.510695 | − | 1.42865i | ||||
\(722\) | −3.39913 | + | 23.6415i | −0.126503 | + | 0.879845i | ||||
\(723\) | 7.97893 | − | 3.64386i | 0.296740 | − | 0.135516i | ||||
\(724\) | −12.2040 | − | 3.58343i | −0.453560 | − | 0.133177i | ||||
\(725\) | −8.05765 | − | 2.36594i | −0.299254 | − | 0.0878688i | ||||
\(726\) | 12.9582 | − | 5.91780i | 0.480923 | − | 0.219630i | ||||
\(727\) | −5.52990 | + | 38.4613i | −0.205093 | + | 1.42645i | 0.583789 | + | 0.811906i | \(0.301570\pi\) |
−0.788881 | + | 0.614546i | \(0.789339\pi\) | |||||||
\(728\) | 7.44557 | − | 2.66155i | 0.275951 | − | 0.0986436i | ||||
\(729\) | −0.415415 | + | 0.909632i | −0.0153857 | + | 0.0336901i | ||||
\(730\) | 12.9176 | − | 20.1001i | 0.478100 | − | 0.743939i | ||||
\(731\) | −29.0032 | + | 4.17003i | −1.07272 | + | 0.154234i | ||||
\(732\) | −4.66367 | − | 7.25681i | −0.172374 | − | 0.268220i | ||||
\(733\) | −22.9187 | − | 26.4496i | −0.846520 | − | 0.976937i | 0.153417 | − | 0.988162i | \(-0.450972\pi\) |
−0.999937 | + | 0.0112249i | \(0.996427\pi\) | |||||||
\(734\) | −8.77950 | + | 2.57790i | −0.324057 | + | 0.0951518i | ||||
\(735\) | −12.1267 | + | 7.33230i | −0.447301 | + | 0.270456i | ||||
\(736\) | −4.76551 | + | 0.538425i | −0.175659 | + | 0.0198466i | ||||
\(737\) | −15.2123 | −0.560354 | ||||||||
\(738\) | −1.10331 | − | 3.75754i | −0.0406135 | − | 0.138317i | ||||
\(739\) | −17.3151 | − | 19.9827i | −0.636945 | − | 0.735074i | 0.341886 | − | 0.939741i | \(-0.388934\pi\) |
−0.978832 | + | 0.204667i | \(0.934389\pi\) | |||||||
\(740\) | 9.81572 | + | 15.2736i | 0.360833 | + | 0.561467i | ||||
\(741\) | 2.78524 | + | 19.3718i | 0.102318 | + | 0.711640i | ||||
\(742\) | 4.48947 | + | 8.49629i | 0.164814 | + | 0.311908i | ||||
\(743\) | −39.9497 | − | 18.2444i | −1.46561 | − | 0.669323i | −0.486693 | − | 0.873573i | \(-0.661797\pi\) |
−0.978919 | + | 0.204250i | \(0.934524\pi\) | |||||||
\(744\) | −5.83930 | + | 6.73891i | −0.214079 | + | 0.247060i | ||||
\(745\) | −21.3645 | − | 3.07175i | −0.782734 | − | 0.112540i | ||||
\(746\) | 0.164258 | − | 0.0750141i | 0.00601391 | − | 0.00274646i | ||||
\(747\) | 1.13556 | + | 0.333431i | 0.0415480 | + | 0.0121996i | ||||
\(748\) | 4.48504 | − | 15.2746i | 0.163989 | − | 0.558496i | ||||
\(749\) | 1.99698 | − | 23.4131i | 0.0729679 | − | 0.855497i | ||||
\(750\) | −11.8259 | − | 1.70031i | −0.431821 | − | 0.0620865i | ||||
\(751\) | 16.9639 | + | 14.6993i | 0.619023 | + | 0.536386i | 0.906935 | − | 0.421271i | \(-0.138416\pi\) |
−0.287912 | + | 0.957657i | \(0.592961\pi\) | |||||||
\(752\) | 7.63588 | + | 3.48719i | 0.278452 | + | 0.127165i | ||||
\(753\) | −10.3598 | + | 16.1202i | −0.377532 | + | 0.587452i | ||||
\(754\) | −27.5521 | + | 3.96139i | −1.00339 | + | 0.144265i | ||||
\(755\) | 5.18208 | − | 3.33032i | 0.188595 | − | 0.121203i | ||||
\(756\) | −0.526958 | − | 2.59274i | −0.0191653 | − | 0.0942971i | ||||
\(757\) | −1.04331 | − | 3.55319i | −0.0379197 | − | 0.129143i | 0.938358 | − | 0.345665i | \(-0.112347\pi\) |
−0.976278 | + | 0.216522i | \(0.930529\pi\) | |||||||
\(758\) | 25.9290i | 0.941782i | ||||||||
\(759\) | 18.6806 | − | 15.2211i | 0.678063 | − | 0.552491i | ||||
\(760\) | −13.2573 | −0.480894 | ||||||||
\(761\) | −9.39827 | − | 32.0076i | −0.340687 | − | 1.16027i | −0.934587 | − | 0.355735i | \(-0.884231\pi\) |
0.593900 | − | 0.804539i | \(-0.297588\pi\) | |||||||
\(762\) | −6.03231 | + | 5.22702i | −0.218527 | + | 0.189355i | ||||
\(763\) | 36.0593 | − | 2.08339i | 1.30543 | − | 0.0754237i | ||||
\(764\) | 4.05120 | − | 0.582475i | 0.146567 | − | 0.0210732i | ||||
\(765\) | 5.39597 | + | 3.46778i | 0.195092 | + | 0.125378i | ||||
\(766\) | 7.53220 | − | 16.4932i | 0.272149 | − | 0.595924i | ||||
\(767\) | −0.0509125 | + | 0.0587562i | −0.00183834 | + | 0.00212156i | ||||
\(768\) | −0.989821 | − | 0.142315i | −0.0357171 | − | 0.00513534i | ||||
\(769\) | −18.7968 | − | 41.1592i | −0.677829 | − | 1.48424i | −0.864928 | − | 0.501897i | \(-0.832636\pi\) |
0.187099 | − | 0.982341i | \(-0.440092\pi\) | |||||||
\(770\) | −18.7674 | − | 19.2884i | −0.676332 | − | 0.695104i | ||||
\(771\) | −17.3815 | − | 5.10367i | −0.625980 | − | 0.183804i | ||||
\(772\) | −7.48016 | − | 16.3793i | −0.269217 | − | 0.589503i | ||||
\(773\) | 4.00503 | − | 27.8556i | 0.144051 | − | 1.00190i | −0.781671 | − | 0.623691i | \(-0.785632\pi\) |
0.925722 | − | 0.378206i | \(-0.123459\pi\) | |||||||
\(774\) | −6.98924 | − | 6.05621i | −0.251223 | − | 0.217686i | ||||
\(775\) | 7.31321 | + | 3.33983i | 0.262698 | + | 0.119970i | ||||
\(776\) | −11.0689 | − | 7.11358i | −0.397352 | − | 0.255363i | ||||
\(777\) | 22.1162 | + | 8.59552i | 0.793413 | + | 0.308362i | ||||
\(778\) | −18.2154 | − | 28.3438i | −0.653055 | − | 1.01617i | ||||
\(779\) | −19.3816 | + | 16.7943i | −0.694418 | + | 0.601717i | ||||
\(780\) | −5.80509 | + | 1.70453i | −0.207855 | + | 0.0610319i | ||||
\(781\) | − | 40.1049i | − | 1.43507i | ||||||
\(782\) | 0.460234 | − | 15.1880i | 0.0164579 | − | 0.543123i | ||||
\(783\) | 9.31400i | 0.332855i | ||||||||
\(784\) | 5.16280 | + | 4.72711i | 0.184386 | + | 0.168825i | ||||
\(785\) | −14.5150 | − | 16.7512i | −0.518061 | − | 0.597875i | ||||
\(786\) | 1.57896 | − | 1.01474i | 0.0563196 | − | 0.0361944i | ||||
\(787\) | 3.05308 | + | 21.2346i | 0.108831 | + | 0.756933i | 0.969024 | + | 0.246966i | \(0.0794334\pi\) |
−0.860194 | + | 0.509967i | \(0.829657\pi\) | |||||||
\(788\) | −23.2470 | − | 14.9399i | −0.828140 | − | 0.532213i | ||||
\(789\) | 3.15036 | − | 6.89832i | 0.112156 | − | 0.245587i | ||||
\(790\) | −14.0452 | − | 12.1703i | −0.499707 | − | 0.432999i | ||||
\(791\) | 4.42127 | − | 5.74064i | 0.157202 | − | 0.204113i | ||||
\(792\) | 4.57044 | − | 2.08725i | 0.162403 | − | 0.0741672i | ||||
\(793\) | −7.26303 | + | 24.7356i | −0.257918 | + | 0.878387i | ||||
\(794\) | 7.59121 | − | 25.8533i | 0.269402 | − | 0.917499i | ||||
\(795\) | −3.05449 | − | 6.68840i | −0.108332 | − | 0.237213i | ||||
\(796\) | −0.269218 | + | 1.87245i | −0.00954219 | + | 0.0663674i | ||||
\(797\) | −8.45518 | + | 9.75780i | −0.299498 | + | 0.345639i | −0.885474 | − | 0.464690i | \(-0.846166\pi\) |
0.585976 | + | 0.810329i | \(0.300711\pi\) | |||||||
\(798\) | −14.0110 | + | 10.1923i | −0.495985 | + | 0.360804i | ||||
\(799\) | −14.3793 | + | 22.3747i | −0.508705 | + | 0.791560i | ||||
\(800\) | 0.128316 | + | 0.892458i | 0.00453666 | + | 0.0315531i | ||||
\(801\) | −0.941921 | + | 0.605336i | −0.0332812 | + | 0.0213885i | ||||
\(802\) | 2.96386 | − | 2.56820i | 0.104658 | − | 0.0906864i | ||||
\(803\) | 56.8984 | − | 16.7069i | 2.00790 | − | 0.589573i | ||||
\(804\) | −3.02764 | −0.106777 | ||||||||
\(805\) | −21.9821 | − | 13.2899i | −0.774769 | − | 0.468408i | ||||
\(806\) | 26.6485 | 0.938654 | ||||||||
\(807\) | −4.26529 | + | 1.25240i | −0.150145 | + | 0.0440867i | ||||
\(808\) | 0.811087 | − | 0.702811i | 0.0285339 | − | 0.0247248i | ||||
\(809\) | 12.3041 | − | 7.90740i | 0.432591 | − | 0.278009i | −0.306170 | − | 0.951977i | \(-0.599048\pi\) |
0.738761 | + | 0.673968i | \(0.235411\pi\) | |||||||
\(810\) | 0.288108 | + | 2.00384i | 0.0101231 | + | 0.0704076i | ||||
\(811\) | −16.8982 | + | 26.2941i | −0.593376 | + | 0.923312i | 0.406577 | + | 0.913617i | \(0.366722\pi\) |
−0.999953 | + | 0.00969502i | \(0.996914\pi\) | |||||||
\(812\) | −14.4963 | − | 19.9276i | −0.508721 | − | 0.699323i | ||||
\(813\) | −10.4625 | + | 12.0743i | −0.366935 | + | 0.423466i | ||||
\(814\) | −6.41284 | + | 44.6023i | −0.224770 | + | 1.56331i | ||||
\(815\) | −11.9110 | − | 26.0815i | −0.417225 | − | 0.913596i | ||||
\(816\) | 0.892635 | − | 3.04004i | 0.0312485 | − | 0.106423i | ||||
\(817\) | −17.0624 | + | 58.1092i | −0.596938 | + | 2.03298i | ||||
\(818\) | 1.46120 | − | 0.667310i | 0.0510898 | − | 0.0233319i | ||||
\(819\) | −4.82467 | + | 6.26442i | −0.168588 | + | 0.218896i | ||||
\(820\) | −5.99162 | − | 5.19177i | −0.209237 | − | 0.181305i | ||||
\(821\) | 10.9038 | − | 23.8759i | 0.380544 | − | 0.833275i | −0.618334 | − | 0.785916i | \(-0.712192\pi\) |
0.998878 | − | 0.0473598i | \(-0.0150807\pi\) | |||||||
\(822\) | 6.73449 | + | 4.32800i | 0.234892 | + | 0.150956i | ||||
\(823\) | 4.45999 | + | 31.0199i | 0.155466 | + | 1.08129i | 0.906859 | + | 0.421433i | \(0.138473\pi\) |
−0.751394 | + | 0.659854i | \(0.770618\pi\) | |||||||
\(824\) | 12.9534 | − | 8.32463i | 0.451252 | − | 0.290002i | ||||
\(825\) | −2.96669 | − | 3.42374i | −0.103287 | − | 0.119199i | ||||
\(826\) | −0.0670482 | − | 0.0155495i | −0.00233290 | − | 0.000541036i | ||||
\(827\) | 9.82321i | 0.341587i | 0.985307 | + | 0.170793i | \(0.0546330\pi\) | ||||
−0.985307 | + | 0.170793i | \(0.945367\pi\) | |||||||
\(828\) | 3.71791 | − | 3.02938i | 0.129206 | − | 0.105278i | ||||
\(829\) | − | 32.9840i | − | 1.14558i | −0.819702 | − | 0.572790i | \(-0.805861\pi\) | ||
0.819702 | − | 0.572790i | \(-0.194139\pi\) | |||||||
\(830\) | 2.29888 | − | 0.675012i | 0.0797953 | − | 0.0234300i | ||||
\(831\) | 3.74412 | − | 3.24430i | 0.129882 | − | 0.112543i | ||||
\(832\) | 1.61574 | + | 2.51413i | 0.0560156 | + | 0.0871619i | ||||
\(833\) | −17.1528 | + | 14.0597i | −0.594308 | + | 0.487140i | ||||
\(834\) | 14.8201 | + | 9.52429i | 0.513177 | + | 0.329799i | ||||
\(835\) | 27.2670 | + | 12.4524i | 0.943614 | + | 0.430934i | ||||
\(836\) | −24.8668 | − | 21.5472i | −0.860038 | − | 0.745227i | ||||
\(837\) | 1.26900 | − | 8.82609i | 0.0438631 | − | 0.305074i | ||||
\(838\) | 2.96556 | + | 6.49366i | 0.102443 | + | 0.224320i | ||||
\(839\) | 9.62336 | + | 2.82567i | 0.332235 | + | 0.0975531i | 0.443596 | − | 0.896227i | \(-0.353703\pi\) |
−0.111360 | + | 0.993780i | \(0.535521\pi\) | |||||||
\(840\) | −3.73519 | − | 3.83887i | −0.128876 | − | 0.132453i | ||||
\(841\) | 23.9904 | + | 52.5317i | 0.827256 | + | 1.81144i | ||||
\(842\) | 31.3199 | + | 4.50313i | 1.07936 | + | 0.155188i | ||||
\(843\) | 6.96143 | − | 8.03392i | 0.239764 | − | 0.276703i | ||||
\(844\) | −5.04068 | + | 11.0375i | −0.173507 | + | 0.379928i | ||||
\(845\) | −6.92897 | − | 4.45298i | −0.238364 | − | 0.153187i | ||||
\(846\) | −8.30902 | + | 1.19466i | −0.285670 | + | 0.0410732i | ||||
\(847\) | −2.17399 | − | 37.6273i | −0.0746990 | − | 1.29289i | ||||
\(848\) | −2.74492 | + | 2.37848i | −0.0942608 | + | 0.0816774i | ||||
\(849\) | 7.44350 | + | 25.3502i | 0.255460 | + | 0.870017i | ||||
\(850\) | −2.85672 | −0.0979847 | ||||||||
\(851\) | 4.82874 | + | 42.7383i | 0.165527 | + | 1.46505i | ||||
\(852\) | − | 7.98188i | − | 0.273455i | ||||||
\(853\) | −2.40420 | − | 8.18795i | −0.0823182 | − | 0.280350i | 0.908039 | − | 0.418885i | \(-0.137579\pi\) |
−0.990358 | + | 0.138535i | \(0.955761\pi\) | |||||||
\(854\) | −22.3655 | + | 4.54564i | −0.765331 | + | 0.155549i | ||||
\(855\) | 11.1528 | − | 7.16745i | 0.381417 | − | 0.245122i | ||||
\(856\) | 8.79106 | − | 1.26396i | 0.300472 | − | 0.0432014i | ||||
\(857\) | 4.65064 | − | 7.23654i | 0.158863 | − | 0.247196i | −0.752693 | − | 0.658372i | \(-0.771246\pi\) |
0.911556 | + | 0.411176i | \(0.134882\pi\) | |||||||
\(858\) | −13.6590 | − | 6.23787i | −0.466311 | − | 0.212957i | ||||
\(859\) | −5.90126 | − | 5.11347i | −0.201348 | − | 0.174469i | 0.548350 | − | 0.836249i | \(-0.315256\pi\) |
−0.749699 | + | 0.661779i | \(0.769802\pi\) | |||||||
\(860\) | −18.5317 | − | 2.66445i | −0.631925 | − | 0.0908570i | ||||
\(861\) | −10.3237 | − | 0.880541i | −0.351831 | − | 0.0300088i | ||||
\(862\) | −0.0915929 | + | 0.311937i | −0.00311967 | + | 0.0106246i | ||||
\(863\) | −12.9171 | − | 3.79279i | −0.439702 | − | 0.129108i | 0.0543864 | − | 0.998520i | \(-0.482680\pi\) |
−0.494088 | + | 0.869412i | \(0.664498\pi\) | |||||||
\(864\) | 0.909632 | − | 0.415415i | 0.0309463 | − | 0.0141327i | ||||
\(865\) | 22.3672 | + | 3.21591i | 0.760507 | + | 0.109344i | ||||
\(866\) | 14.7410 | − | 17.0120i | 0.500920 | − | 0.578093i | ||||
\(867\) | −6.33229 | − | 2.89186i | −0.215056 | − | 0.0982128i | ||||
\(868\) | 11.0219 | + | 20.8588i | 0.374107 | + | 0.707994i | ||||
\(869\) | −6.56430 | − | 45.6557i | −0.222678 | − | 1.54876i | ||||
\(870\) | 10.1941 | + | 15.8624i | 0.345613 | + | 0.537785i | ||||
\(871\) | 5.92536 | + | 6.83823i | 0.200773 | + | 0.231704i | ||||
\(872\) | 3.84617 | + | 13.0989i | 0.130248 | + | 0.443583i | ||||
\(873\) | 13.1577 | 0.445320 | ||||||||
\(874\) | −28.1598 | − | 13.9059i | −0.952518 | − | 0.470373i | ||||
\(875\) | −15.5274 | + | 27.5336i | −0.524923 | + | 0.930807i | ||||
\(876\) | 11.3242 | − | 3.32509i | 0.382610 | − | 0.112344i | ||||
\(877\) | −1.24755 | − | 1.43975i | −0.0421267 | − | 0.0486168i | 0.734295 | − | 0.678830i | \(-0.237513\pi\) |
−0.776422 | + | 0.630213i | \(0.782967\pi\) | |||||||
\(878\) | −4.16578 | − | 6.48208i | −0.140588 | − | 0.218760i | ||||
\(879\) | 21.1239 | − | 3.03716i | 0.712492 | − | 0.102441i | ||||
\(880\) | 5.49929 | − | 8.55706i | 0.185381 | − | 0.288458i | ||||
\(881\) | 4.93745 | − | 10.8115i | 0.166347 | − | 0.364249i | −0.808040 | − | 0.589128i | \(-0.799471\pi\) |
0.974387 | + | 0.224879i | \(0.0721986\pi\) | |||||||
\(882\) | −6.89889 | − | 1.18548i | −0.232298 | − | 0.0399171i | ||||
\(883\) | −1.09978 | + | 7.64911i | −0.0370104 | + | 0.257413i | −0.999923 | − | 0.0124001i | \(-0.996053\pi\) |
0.962913 | + | 0.269813i | \(0.0869619\pi\) | |||||||
\(884\) | −8.61320 | + | 3.93352i | −0.289693 | + | 0.132298i | ||||
\(885\) | 0.0505314 | + | 0.0148373i | 0.00169859 | + | 0.000498752i | ||||
\(886\) | −19.6354 | − | 5.76549i | −0.659666 | − | 0.193695i | ||||
\(887\) | 26.6815 | − | 12.1850i | 0.895878 | − | 0.409134i | 0.0863837 | − | 0.996262i | \(-0.472469\pi\) |
0.809494 | + | 0.587128i | \(0.199742\pi\) | |||||||
\(888\) | −1.27632 | + | 8.87698i | −0.0428304 | + | 0.297892i | ||||
\(889\) | 7.10851 | + | 19.8857i | 0.238412 | + | 0.666946i | ||||
\(890\) | −0.941619 | + | 2.06186i | −0.0315631 | + | 0.0691137i | ||||
\(891\) | −2.71645 | + | 4.22687i | −0.0910043 | + | 0.141606i | ||||
\(892\) | −28.4329 | + | 4.08803i | −0.952003 | + | 0.136877i | ||||
\(893\) | 29.7203 | + | 46.2456i | 0.994551 | + | 1.54755i | ||||
\(894\) | −6.98199 | − | 8.05765i | −0.233513 | − | 0.269488i | ||||
\(895\) | −18.1633 | + | 5.33322i | −0.607131 | + | 0.178270i | ||||
\(896\) | −1.29964 | + | 2.30455i | −0.0434178 | + | 0.0769896i | ||||
\(897\) | −14.1184 | − | 2.46850i | −0.471401 | − | 0.0824209i | ||||
\(898\) | −41.1277 | −1.37245 | ||||||||
\(899\) | −23.3983 | − | 79.6874i | −0.780378 | − | 2.65772i | ||||
\(900\) | −0.590445 | − | 0.681410i | −0.0196815 | − | 0.0227137i | ||||
\(901\) | −6.22153 | − | 9.68088i | −0.207269 | − | 0.322517i | ||||
\(902\) | −2.80029 | − | 19.4765i | −0.0932396 | − | 0.648496i | ||||
\(903\) | −21.6337 | + | 11.4313i | −0.719924 | + | 0.380410i | ||||
\(904\) | 2.49119 | + | 1.13769i | 0.0828557 | + | 0.0378389i | ||||
\(905\) | 16.8623 | − | 19.4601i | 0.560521 | − | 0.646876i | ||||
\(906\) | 3.01182 | + | 0.433034i | 0.100061 | + | 0.0143866i | ||||
\(907\) | −13.3763 | + | 6.10873i | −0.444151 | + | 0.202837i | −0.624920 | − | 0.780688i | \(-0.714869\pi\) |
0.180769 | + | 0.983526i | \(0.442141\pi\) | |||||||
\(908\) | −11.6511 | − | 3.42107i | −0.386655 | − | 0.113532i | ||||
\(909\) | −0.302362 | + | 1.02975i | −0.0100287 | + | 0.0341546i | ||||
\(910\) | −1.36037 | + | 15.9493i | −0.0450957 | + | 0.528715i | ||||
\(911\) | 9.86065 | + | 1.41775i | 0.326698 | + | 0.0469721i | 0.303712 | − | 0.952764i | \(-0.401774\pi\) |
0.0229854 | + | 0.999736i | \(0.492683\pi\) | |||||||
\(912\) | −4.94913 | − | 4.28844i | −0.163882 | − | 0.142005i | ||||
\(913\) | 5.40912 | + | 2.47026i | 0.179016 | + | 0.0817538i | ||||
\(914\) | −14.7720 | + | 22.9856i | −0.488613 | + | 0.760297i | ||||
\(915\) | 17.2855 | − | 2.48528i | 0.571440 | − | 0.0821607i | ||||
\(916\) | 7.30847 | − | 4.69687i | 0.241479 | − | 0.155189i | ||||
\(917\) | −0.989054 | − | 4.86635i | −0.0326614 | − | 0.160701i | ||||
\(918\) | 0.892635 | + | 3.04004i | 0.0294614 | + | 0.100336i | ||||
\(919\) | 12.4282i | 0.409970i | 0.978765 | + | 0.204985i | \(0.0657145\pi\) | ||||
−0.978765 | + | 0.204985i | \(0.934285\pi\) | |||||||
\(920\) | 3.01621 | − | 9.22848i | 0.0994415 | − | 0.304254i | ||||
\(921\) | −18.1093 | −0.596723 | ||||||||
\(922\) | 9.09742 | + | 30.9830i | 0.299608 | + | 1.02037i | ||||
\(923\) | −18.0279 | + | 15.6213i | −0.593395 | + | 0.514180i | ||||
\(924\) | −0.766780 | − | 13.2714i | −0.0252252 | − | 0.436598i | ||||
\(925\) | 8.00379 | − | 1.15077i | 0.263163 | − | 0.0378371i | ||||
\(926\) | −7.95085 | − | 5.10970i | −0.261281 | − | 0.167915i | ||||
\(927\) | −6.39644 | + | 14.0062i | −0.210087 | + | 0.460026i | ||||
\(928\) | 6.09937 | − | 7.03905i | 0.200222 | − | 0.231068i | ||||
\(929\) | 1.39345 | + | 0.200348i | 0.0457176 | + | 0.00657319i | 0.165136 | − | 0.986271i | \(-0.447194\pi\) |
−0.119418 | + | 0.992844i | \(0.538103\pi\) | |||||||
\(930\) | −7.49893 | − | 16.4204i | −0.245899 | − | 0.538445i | ||||
\(931\) | 11.7060 | + | 44.3206i | 0.383650 | + | 1.45255i | ||||
\(932\) | −8.55890 | − | 2.51312i | −0.280356 | − | 0.0823199i | ||||
\(933\) | −6.85084 | − | 15.0012i | −0.224286 | − | 0.491119i | ||||
\(934\) | 1.11022 | − | 7.72175i | 0.0363275 | − | 0.252664i | ||||
\(935\) | 24.3564 | + | 21.1049i | 0.796538 | + | 0.690204i | ||||
\(936\) | −2.71849 | − | 1.24149i | −0.0888566 | − | 0.0405794i | ||||
\(937\) | −2.76247 | − | 1.77533i | −0.0902460 | − | 0.0579976i | 0.494740 | − | 0.869041i | \(-0.335263\pi\) |
−0.584986 | + | 0.811044i | \(0.698900\pi\) | |||||||
\(938\) | −2.90180 | + | 7.46630i | −0.0947472 | + | 0.243783i | ||||
\(939\) | −13.9269 | − | 21.6706i | −0.454486 | − | 0.707194i | ||||
\(940\) | −12.8433 | + | 11.1288i | −0.418902 | + | 0.362981i | ||||
\(941\) | −13.4760 | + | 3.95691i | −0.439305 | + | 0.128992i | −0.493903 | − | 0.869517i | \(-0.664430\pi\) |
0.0545984 | + | 0.998508i | \(0.482612\pi\) | |||||||
\(942\) | − | 10.9487i | − | 0.356727i | ||||||
\(943\) | −7.28100 | − | 17.3125i | −0.237102 | − | 0.563773i | ||||
\(944\) | − | 0.0260144i | − | 0.000846697i | ||||||
\(945\) | 5.21769 | + | 1.21006i | 0.169732 | + | 0.0393633i | ||||
\(946\) | −30.4294 | − | 35.1174i | −0.989345 | − | 1.14177i | ||||
\(947\) | 25.7159 | − | 16.5266i | 0.835653 | − | 0.537042i | −0.0514166 | − | 0.998677i | \(-0.516374\pi\) |
0.887070 | + | 0.461636i | \(0.152737\pi\) | |||||||
\(948\) | −1.30646 | − | 9.08663i | −0.0424318 | − | 0.295120i | ||||
\(949\) | −29.6725 | − | 19.0694i | −0.963212 | − | 0.619019i | ||||
\(950\) | −2.45281 | + | 5.37090i | −0.0795796 | + | 0.174255i | ||||
\(951\) | 9.81843 | + | 8.50772i | 0.318384 | + | 0.275882i | ||||
\(952\) | −6.64134 | − | 5.11497i | −0.215247 | − | 0.165777i | ||||
\(953\) | −30.0947 | + | 13.7438i | −0.974864 | + | 0.445205i | −0.838171 | − | 0.545408i | \(-0.816375\pi\) |
−0.136693 | + | 0.990613i | \(0.543647\pi\) | |||||||
\(954\) | 1.02327 | − | 3.48492i | 0.0331294 | − | 0.112828i | ||||
\(955\) | −2.33437 | + | 7.95013i | −0.0755384 | + | 0.257260i | ||||
\(956\) | 11.0061 | + | 24.1001i | 0.355964 | + | 0.779452i | ||||
\(957\) | −6.66006 | + | 46.3218i | −0.215289 | + | 1.49737i | ||||
\(958\) | 9.81545 | − | 11.3276i | 0.317123 | − | 0.365979i | ||||
\(959\) | 17.1276 | − | 12.4595i | 0.553080 | − | 0.402337i | ||||
\(960\) | 1.09450 | − | 1.70307i | 0.0353247 | − | 0.0549663i | ||||
\(961\) | 6.90373 | + | 48.0165i | 0.222701 | + | 1.54892i | ||||
\(962\) | 22.5474 | − | 14.4903i | 0.726958 | − | 0.467187i | ||||
\(963\) | −6.71216 | + | 5.81612i | −0.216296 | + | 0.187422i | ||||
\(964\) | 8.41629 | − | 2.47125i | 0.271071 | − | 0.0795935i | ||||
\(965\) | 36.4531 | 1.17347 | ||||||||
\(966\) | −3.90722 | − | 12.0720i | −0.125713 | − | 0.388411i | ||||
\(967\) | −21.1463 | −0.680020 | −0.340010 | − | 0.940422i | \(-0.610430\pi\) | ||||
−0.340010 | + | 0.940422i | \(0.610430\pi\) | |||||||
\(968\) | 13.6685 | − | 4.01343i | 0.439321 | − | 0.128996i | ||||
\(969\) | 15.6807 | − | 13.5874i | 0.503737 | − | 0.436490i | ||||
\(970\) | 22.4084 | − | 14.4010i | 0.719491 | − | 0.462389i | ||||
\(971\) | 5.46674 | + | 38.0220i | 0.175436 | + | 1.22018i | 0.867163 | + | 0.498025i | \(0.165941\pi\) |
−0.691727 | + | 0.722159i | \(0.743150\pi\) | |||||||
\(972\) | −0.540641 | + | 0.841254i | −0.0173411 | + | 0.0269832i | ||||
\(973\) | 37.6915 | − | 27.4186i | 1.20833 | − | 0.879000i | ||||
\(974\) | 7.32062 | − | 8.44845i | 0.234568 | − | 0.270706i | ||||
\(975\) | −0.383480 | + | 2.66716i | −0.0122812 | + | 0.0854175i | ||||
\(976\) | −3.58345 | − | 7.84666i | −0.114703 | − | 0.251165i | ||||
\(977\) | −0.0601803 | + | 0.204955i | −0.00192534 | + | 0.00655710i | −0.960450 | − | 0.278452i | \(-0.910179\pi\) |
0.958525 | + | 0.285009i | \(0.0919967\pi\) | |||||||
\(978\) | 3.99024 | − | 13.5895i | 0.127594 | − | 0.434544i | ||||
\(979\) | −5.11736 | + | 2.33702i | −0.163551 | + | 0.0746914i | ||||
\(980\) | −13.0468 | + | 5.53185i | −0.416764 | + | 0.176709i | ||||
\(981\) | −10.3174 | − | 8.94006i | −0.329409 | − | 0.285434i | ||||
\(982\) | 10.9868 | − | 24.0577i | 0.350602 | − | 0.767712i | ||||
\(983\) | 2.45396 | + | 1.57706i | 0.0782691 | + | 0.0503005i | 0.579190 | − | 0.815193i | \(-0.303369\pi\) |
−0.500921 | + | 0.865493i | \(0.667005\pi\) | |||||||
\(984\) | −0.557329 | − | 3.87631i | −0.0177670 | − | 0.123572i | ||||
\(985\) | 47.0622 | − | 30.2450i | 1.49953 | − | 0.963687i | ||||
\(986\) | 19.3251 | + | 22.3024i | 0.615437 | + | 0.710252i | ||||
\(987\) | −5.01760 | + | 21.6355i | −0.159712 | + | 0.688664i | ||||
\(988\) | 19.5710i | 0.622636i | ||||||||
\(989\) | −36.5681 | − | 25.0978i | −1.16280 | − | 0.798063i | ||||
\(990\) | 10.1718i | 0.323281i | ||||||||
\(991\) | 1.81390 | − | 0.532609i | 0.0576204 | − | 0.0169189i | −0.252795 | − | 0.967520i | \(-0.581350\pi\) |
0.310416 | + | 0.950601i | \(0.399532\pi\) | |||||||
\(992\) | −6.73891 | + | 5.83930i | −0.213961 | + | 0.185398i | ||||
\(993\) | −10.6255 | − | 16.5335i | −0.337189 | − | 0.524676i | ||||
\(994\) | −19.6837 | − | 7.65013i | −0.624329 | − | 0.242648i | ||||
\(995\) | −3.22171 | − | 2.07047i | −0.102135 | − | 0.0656383i | ||||
\(996\) | 1.07655 | + | 0.491645i | 0.0341118 | + | 0.0155784i | ||||
\(997\) | 3.57024 | + | 3.09363i | 0.113071 | + | 0.0979762i | 0.709561 | − | 0.704644i | \(-0.248893\pi\) |
−0.596491 | + | 0.802620i | \(0.703439\pi\) | |||||||
\(998\) | 3.77577 | − | 26.2610i | 0.119520 | − | 0.831278i | ||||
\(999\) | −3.72555 | − | 8.15782i | −0.117871 | − | 0.258102i |
(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 | 966.2.s.a.727.14 | yes | 160 | |
7.6 | odd | 2 | inner | 966.2.s.a.727.3 | yes | 160 | |
23.5 | odd | 22 | inner | 966.2.s.a.97.3 | ✓ | 160 | |
161.97 | even | 22 | inner | 966.2.s.a.97.14 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.s.a.97.3 | ✓ | 160 | 23.5 | odd | 22 | inner | |
966.2.s.a.97.14 | yes | 160 | 161.97 | even | 22 | inner | |
966.2.s.a.727.3 | yes | 160 | 7.6 | odd | 2 | inner | |
966.2.s.a.727.14 | yes | 160 | 1.1 | even | 1 | trivial |